{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":44546,"title":"Calculating the total earnings of a factory","description":"The row vector, prods contains the number of various products manufactured per hour. The second row vector, prices holds values for the corresponding item prices they sell the given product for. Given the factory generates operates on a 6-day work week and two 8-hour long shifts per day, find the total earnings.","description_html":"\u003cp\u003eThe row vector, prods contains the number of various products manufactured per hour. The second row vector, prices holds values for the corresponding item prices they sell the given product for. Given the factory generates operates on a 6-day work week and two 8-hour long shifts per day, find the total earnings.\u003c/p\u003e","function_template":"function earn = earnings(rate, price)\r\n earn= (); % use your basic knowledge of matrix multiplication\r\nend","test_suite":"%%\r\nrate = [2,5,4];\r\nprice = [8,3,1];\r\ny_correct = 3360;\r\nassert(isequal(earnings(rate,price),3360))\r\n%%\r\nrate = [1,4];\r\nprice = [2,1];\r\ny_correct = 576;\r\nassert(isequal(earnings(rate,price),576))\r\n%%\r\nrate = [6 6 2 3 2 8];\r\nprice = [3 2 4 8 9 5];\r\ny_correct = 11520;\r\nassert(isequal(earnings(rate,price),11520))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":171559,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":57,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-03-31T09:16:35.000Z","updated_at":"2026-02-11T11:25:03.000Z","published_at":"2018-03-31T09:16:35.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row vector, prods contains the number of various products manufactured per hour. The second row vector, prices holds values for the corresponding item prices they sell the given product for. Given the factory generates operates on a 6-day work week and two 8-hour long shifts per day, find the total earnings.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":764,"title":"Soccer - TOTO","description":"How many different outcomes are there in a soccer-TOTO with n games?\r\n\r\nFor each game there are three results: win - loss - equal. So for example with 2 games between team A and B, we can have different outcomes:\r\n\r\nA win(1), A loss(-1), A draw(0) for first game and A win(1), A loss(-1), A draw(0) for the next game. Outcomes are like this:\r\n\r\n 1 1\r\n 1 0\r\n 1 -1\r\n 0 1\r\n 0 0\r\n 0 -1\r\n -1 1\r\n -1 0\r\n -1 -1\r\n","description_html":"\u003cp\u003eHow many different outcomes are there in a soccer-TOTO with n games?\u003c/p\u003e\u003cp\u003eFor each game there are three results: win - loss - equal. So for example with 2 games between team A and B, we can have different outcomes:\u003c/p\u003e\u003cp\u003eA win(1), A loss(-1), A draw(0) for first game and A win(1), A loss(-1), A draw(0) for the next game. Outcomes are like this:\u003c/p\u003e\u003cpre\u003e 1 1\r\n 1 0\r\n 1 -1\r\n 0 1\r\n 0 0\r\n 0 -1\r\n -1 1\r\n -1 0\r\n -1 -1\u003c/pre\u003e","function_template":"function y = your_fcn_name(n)\r\n y = n;\r\nend","test_suite":"%%\r\nn = 5;\r\ny_correct = 243;\r\nassert(isequal(your_fcn_name(n),y_correct))\r\n\r\n\r\n%%\r\nn = 9;\r\ny_correct = 19683;\r\nassert(isequal(your_fcn_name(n),y_correct))\r\n\r\n\r\n%%\r\nn = 12;\r\ny_correct = 531441;\r\nassert(isequal(your_fcn_name(n),y_correct))\r\n\r\n%%\r\nn = 3;\r\ny_correct = 27;\r\nassert(isequal(your_fcn_name(n),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":4320,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":85,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2012-06-13T08:25:53.000Z","updated_at":"2026-04-04T13:37:21.000Z","published_at":"2012-06-13T08:25:53.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHow many different outcomes are there in a soccer-TOTO with n games?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor each game there are three results: win - loss - equal. So for example with 2 games between team A and B, we can have different outcomes:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA win(1), A loss(-1), A draw(0) for first game and A win(1), A loss(-1), A draw(0) for the next game. Outcomes are like this:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ 1 1\\n 1 0\\n 1 -1\\n 0 1\\n 0 0\\n 0 -1\\n -1 1\\n -1 0\\n -1 -1]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45217,"title":"Find a common vertex","description":"First input is T, a triplet list of indices. Second input is i, a single index (positive integer). The goal of this function is to find and return the indices of the rows in the list which contain this particular index. Output format is indifferently a column or a row vector.\r\nFor example if inputs are\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 2;...\r\n 2 3 4]\r\nand\r\ni = 2\r\nthe output is the vector\r\nrow_idx = [1 3 4]\r\nsince 2 is contained in rows number 1, 3, and 4 of T. If the index is not in the list, the function must of course return the empty set. Each index is at most contained once per row / triplet.\r\n\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 479.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 239.8px; transform-origin: 408px 239.8px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.725px 8px; transform-origin: 375.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFirst input is T, a triplet list of indices. Second input is i, a single index (positive integer). The goal of this function is to find and return the indices of the rows in the list which contain this particular index. Output format is indifferently a column or a row vector.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.0167px 8px; transform-origin: 77.0167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example if inputs are\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 40.8667px; transform-origin: 405px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003eT = [1 2 3;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 1 3 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 1 4 2;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 8.5px; tab-size: 4; transform-origin: 42.35px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 3 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 19.25px 8.5px; tab-size: 4; transform-origin: 19.25px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ei = 2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 70.7833px 8px; transform-origin: 70.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe output is the vector\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003erow_idx = [1 3 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 367.533px 8px; transform-origin: 367.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince 2 is contained in rows number 1, 3, and 4 of T. If the index is not in the list, the function must of course return the empty set. Each index is at most contained once per row / triplet.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function row_idx = find_common_vertex(T,i)\r\n row_idx = i;\r\nend","test_suite":"%% Tetrahedron\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 2;...\r\n 2 3 4];\r\n\r\ni = 2;\r\n\r\nrow_idx = [1 3 4];\r\n\r\nassert(isequal(find_common_vertex(T,i),row_idx) || isequal(find_common_vertex(T,i),row_idx'))\r\n\r\n%% Octahedron\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 5;...\r\n 1 5 2;...\r\n 6 3 2;...\r\n 6 4 3;...\r\n 6 5 4;...\r\n 6 2 5];\r\n\r\ni = 4;\r\n\r\nrow_idx = [2 3 6 7];\r\n\r\nassert(isequal(find_common_vertex(T,i),row_idx) || isequal(find_common_vertex(T,i),row_idx'))\r\n\r\n%% Triangulated cube\r\nT = [1 2 4;...\r\n 2 3 4;...\r\n 5 6 8;...\r\n 6 7 8;...\r\n 1 2 5;...\r\n 2 5 6;...\r\n 2 3 6;...\r\n 3 6 7;...\r\n 3 4 7;...\r\n 4 7 8;...\r\n 4 1 8;...\r\n 1 8 5];\r\n\r\ni = 6;\r\n\r\nrow_idx = [3 4 6 7 8];\r\n\r\nassert(isequal(find_common_vertex(T,i),row_idx) || isequal(find_common_vertex(T,i),row_idx'))\r\n\r\n%% Empty set test\r\nT = [2 3 5;...\r\n 3 5 7;...\r\n 5 7 11;...\r\n 7 11 13];\r\n\r\ni = 8;\r\n\r\nassert(isempty(find_common_vertex(T,i)))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('find_common_vertex.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:50:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":43,"test_suite_updated_at":"2025-07-09T05:47:27.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-12-01T16:22:33.000Z","updated_at":"2026-03-02T14:28:36.000Z","published_at":"2019-12-01T16:58:33.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFirst input is T, a triplet list of indices. Second input is i, a single index (positive integer). The goal of this function is to find and return the indices of the rows in the list which contain this particular index. Output format is indifferently a column or a row vector.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example if inputs are\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1 2 3;...\\n 1 3 4;...\\n 1 4 2;...\\n 2 3 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[i = 2]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethe output is the vector\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[row_idx = [1 3 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince 2 is contained in rows number 1, 3, and 4 of T. If the index is not in the list, the function must of course return the empty set. Each index is at most contained once per row / triplet.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44659,"title":"Nth root of a number","description":"Given an input and a number N, find the Nth root of the number(s)","description_html":"\u003cp\u003eGiven an input and a number N, find the Nth root of the number(s)\u003c/p\u003e","function_template":"function y = rootN(a,N)\r\n y = x;\r\nend","test_suite":"%%\r\na = 1;\r\nN = 100\r\ny_correct = 1;\r\nassert(isequal(rootN(a,N),y_correct))\r\n\r\n%%\r\na = [1 64 216];\r\nN = 3\r\ny_correct = [1 4 6];\r\nassert(isequal(rootN(a,N),y_correct))\r\n\r\n%%\r\na = 1/100;\r\nN = 2\r\ny_correct = 1/10;\r\nassert(isequal(rootN(a,N),y_correct))\r\n\r\n%%\r\na = 826^10;\r\nN = 10\r\ny_correct = 826;\r\nassert(isequal(rootN(a,N),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":171559,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":59,"test_suite_updated_at":"2018-05-29T13:54:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2018-05-29T13:48:03.000Z","updated_at":"2026-02-20T14:32:58.000Z","published_at":"2018-05-29T13:48:03.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an input and a number N, find the Nth root of the number(s)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":758,"title":"arrangement of symbols","description":"There are n different symbols in which m symbols are identical (m\u003cn). How many different arrangement can we make with these symbols?","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 381.5px 8px; transform-origin: 381.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThere are n different symbols in which m symbols are identical (m\u0026lt;n). How many different arrangement can we make with these symbols?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(m,n)\r\n y = n-m;\r\nend","test_suite":"%%\r\nn = 10;\r\nm=2;\r\ny_correct = 1814400;\r\nassert(isequal(your_fcn_name(m,n),y_correct))\r\n\r\n%%\r\nn = 4;\r\nm=3;\r\ny_correct = 4;\r\nassert(isequal(your_fcn_name(m,n),y_correct))\r\n\r\n%%\r\nn = 7;\r\nm=6;\r\ny_correct = 7;\r\nassert(isequal(your_fcn_name(m,n),y_correct))\r\n\r\n%%\r\nn = randi([10 15]);\r\nm=n-2;\r\ny_correct = n*(n-1);\r\nassert(isequal(your_fcn_name(m,n),y_correct))\r\n\r\n%%\r\nn = 10;\r\nm=5;\r\ny_correct = 30240;\r\nassert(isequal(your_fcn_name(m,n),y_correct))\r\n\r\n%%\r\nn = 4;\r\nm=1;\r\ny_correct = 24;\r\nassert(isequal(your_fcn_name(m,n),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":4320,"edited_by":223089,"edited_at":"2023-02-20T14:58:55.000Z","deleted_by":null,"deleted_at":null,"solvers_count":60,"test_suite_updated_at":"2023-02-20T14:58:55.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-06-12T15:39:43.000Z","updated_at":"2026-03-02T15:10:24.000Z","published_at":"2012-06-12T15:39:43.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThere are n different symbols in which m symbols are identical (m\u0026lt;n). How many different arrangement can we make with these symbols?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44635,"title":"Repetition of matrices","description":"*A is a bold matrix: [1 2 3; 4 5 6;7 8 9]*\r\n\r\nGiven an integer 'n' , a matrix B exists such that has n copies of A in the row and column dimensions\r\n\r\nexample:\r\nfor n=2; B= [A A; A A]\r\n\r\nFor such a matrix B return the sum of all elements multiplied by the size of B i.e. \r\n\r\n C=sum (all elements of B) * size(B)\r\n\r\n* _Kindly note you will have to make the matrix A yourself_ *","description_html":"\u003cp\u003e\u003cb\u003eA is a bold matrix: [1 2 3; 4 5 6;7 8 9]\u003c/b\u003e\u003c/p\u003e\u003cp\u003eGiven an integer 'n' , a matrix B exists such that has n copies of A in the row and column dimensions\u003c/p\u003e\u003cp\u003eexample:\r\nfor n=2; B= [A A; A A]\u003c/p\u003e\u003cp\u003eFor such a matrix B return the sum of all elements multiplied by the size of B i.e.\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003eC=sum (all elements of B) * size(B)\r\n\u003c/pre\u003e\u003cul\u003e\u003cli\u003e\u003ci\u003eKindly note you will have to make the matrix A yourself\u003c/i\u003e *\u003c/li\u003e\u003c/ul\u003e","function_template":"function C = matrix_rep(n)\r\n y = x;\r\nend","test_suite":"%%\r\nn = 2;\r\nC_correct = [1080,1080];\r\nassert(isequal(matrix_rep(n),C_correct))\r\n\r\n%%\r\nn = 5;\r\nC_correct = [16875,16875];\r\nassert(isequal(matrix_rep(n),C_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":171559,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":58,"test_suite_updated_at":"2018-05-09T11:43:47.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2018-05-09T11:42:39.000Z","updated_at":"2026-03-05T11:04:40.000Z","published_at":"2018-05-09T11:42:39.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA is a bold matrix: [1 2 3; 4 5 6;7 8 9]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an integer 'n' , a matrix B exists such that has n copies of A in the row and column dimensions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eexample: for n=2; B= [A A; A A]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor such a matrix B return the sum of all elements multiplied by the size of B i.e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[C=sum (all elements of B) * size(B)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eKindly note you will have to make the matrix A yourself\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e *\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":60982,"title":"Mesh the square with triangles","description":"Problem statement\r\n\r\nAn square is a regular polygon with 4 vertices and 4 edges.\r\nA triangulated mesh T (stands for triangles here) -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh, that is to say give one triangulation T of, this square.To do so, you will list the triangles/rows in a matrix of triangles, T.The row order of the triangles in the list doesn't matter.\r\n\r\nExample\r\nThe first triangle here can be [1, 2, 3] if counterclockwise oriented.\r\n\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 995.233px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 497.617px; transform-origin: 408px 497.617px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 183.608px 8px; transform-origin: 183.608px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn square is a regular polygon with 4 vertices and 4 edges.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.1833px 8px; transform-origin: 64.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 176.983px 8px; transform-origin: 176.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.633px 8px; transform-origin: 132.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 192.275px 8px; transform-origin: 192.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh, that is to say give one triangulation \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 183.583px 8px; transform-origin: 183.583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of, this square.To do so, you will list the triangles/rows in a matrix of triangles, T.The row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.9583px 8px; transform-origin: 92.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.8583px 8px; transform-origin: 89.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 340.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 170.25px; text-align: left; transform-origin: 385px 170.25px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"447\" height=\"335\" style=\"vertical-align: baseline;width: 447px;height: 335px\" 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sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_square()\r\n T = 1;\r\nend","test_suite":"%% Test every possible solutions\r\nT_correct1 = [1 2 3;\r\n 3 4 1];\r\n\r\nT_correct2 = [2 3 4;\r\n 1 2 4];\r\n\r\nassert(isequal(sortrows(sort(mesh_the_square(),2)),sortrows(sort(T_correct1,2)))...\r\n | isequal(sortrows(sort(mesh_the_square(),2)),sortrows(sort(T_correct2,2))))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_square.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:45:03.000Z","deleted_by":null,"deleted_at":null,"solvers_count":34,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T16:29:27.000Z","updated_at":"2026-02-10T17:10:21.000Z","published_at":"2025-07-23T16:40:49.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn square is a regular polygon with 4 vertices and 4 edges.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh, that is to say give one triangulation \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e of, this square.To do so, you will list the triangles/rows in a matrix of triangles, T.The row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"335\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"447\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle 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p² = 24k + 1, p \u003e 3, the 'golden prime squares' equation","description":"Historical context\r\nIn december 2023, I / Nicolas Douillet was working on prime squares properties and I found* the formula :\r\n\r\n \r\n\r\nwhich I named the ‘Christmas eve equation'. From it I then wrote :\r\n\r\n\r\n\r\nand I named it the ‘golden prime squares equation’. These two formulas, which are actually the same one, can easily be proven starting from (note this last formula applies not only to prime numbers). \r\n \r\n* Apparently, I rediscovered it since I found it a posteriori on this excellent French math website : Site de Gérard Villemin\r\n \r\nProblem statement\r\nYour goal here is to check this formula for the first primes less or equal to a given integer m (input). To do so you will simply compute k in a vector. For the two first cases where the formula doesn’t apply -2 and 3- your function should return 0.\r\n \r\nExamples\r\n\r\nIf m = 20 then k = [0, 0, 1, 2, 5, 7, 12, 15], since 5^2 = 24x1 + 1, 7^2 = 24x2 + 1, 11^2 = 24x5 + 1, etc…\r\n\r\nIf m = 40 then k = [0, 0, 1, 2, 5, 7, 12, 15, 22, 35, 40, 57] ; \r\n \r\nFobidden functions\r\n \r\nregexp\r\nstr2num\r\nassignin\r\n \r\nSee also (my file exchange contributions using this equation) :\r\n\r\nIsprime optimus [FAST]\r\nPrime number spiral (my corresponding contribution on my file exchange)\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1019.47px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 509.733px; transform-origin: 408px 509.733px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 68.0583px 8px; transform-origin: 68.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn december 2023, I / \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/profile/authors/8668631?s_tid=user_nav_comm\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eNicolas Douillet\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 210.05px 8px; transform-origin: 210.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e was working on prime squares properties and I found* the formula :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfYAAAAmCAYAAAA2orknAAAQtUlEQVR4Xu1da8h/2RSe+U7CJxLCh5lcSy6NKHIpkVAIaYpmUJKYCUmThFySfHCJ6U1yTVJSLvlA5Fqu8QENiU9u8Z31TOfR+q9377PX2mfv87u861e7+c97ztln72evvZ69Lnuf66/LXyKQCCQCiUAikAicDQLXn01PsiOJQCKQCCQCiUAicF0SewpBIpAIJAKJQCJwRggksZ/RYGZXEoFEIBFIBBKBJPaUgUQgEUgEEoFE4IwQSGI/o8HMriQCicDBEXimtOAdUp6wtOSH8t/XSfnxwVuWDbgyCCSxX5mhzo4mAonAZARA6l+vvONh8vffT35/Vp8I3I1AEnsKQiKQCCQCYxD4i1TzSyl3SnmBlBepar8g/37xmNdkLYnAOgJJ7Ckhp4bA46TBD5Hy+VNr+A7thcUIbD66w7vyFdci8Gr536dKeY2Uvy+XIKMk99/Kv288MdAgT6+U8igpN0hBWOHnUt4rpcf78DF57pYFA809wO4jBWzOhZ/uI327VcrzpDxcyr+lYAH4ZcdcrWFj4brGI2SB+4HcjdjQx5eGeOWQA4aBf6L3obwvEaggoBWiveU/8ofHdCqWYwF8zWVba+Nb5cK7zUUsct4p5ZFS7rdcO0XLsITHs6Q/33AO2H/lvhI+zseH3IaxAKFrwtP9Ql/Qp1P5aRIuzcFXyR8ji2t4Kz6nKrLcUyKwcyB2yMVX1Py0WLY4c00Xsq5Li8YauH+VJ+4fkECsQO4hBavVtBYCwB3prQ81CmrPZuLdv1t54akpyFJXRhE769ZK8RTnIPFA2/8g5UNSHiDlQQtZtuTvGIi91EZNZodeeLQw1Ndhkd/WeAALbO/4wGL948IRrNZyT2lOnDqxl/pdgvV98sfbK3gjvMNFe21ILsmWBQ4N+dvytHfFTOGNDHREyPLe/RGA5+aBUt4gJbIqH9FSvA+uv9dXKvuJU9mPaMsx1EEv2hoxaEV8iklaVOrUOVjc/UzKr6V4PIDHSuy0emFRPelE5JYLaxh3n14mwKPlvxgj+1sjJH0vZVj/7SoQO61teNGwsLmXlOdKKRF1aREDa//byzxY00Uvk4vXhEZKlenGeJI9ovcfg7LMNqwjoN0/mOB7ETyVyqGtTixwvyflOXbCHEBwPMSOTGwo3lOM4wJSErv2FNIL4bF0j5HYaa2hfy+U4g0rHEDErnklF/JW95dc5S03MirGohNkhhi9/h0bsUOG8PP0yTNGXJw+TW7WWx2pWyweJUP6LfIswo4eHl4FFxe1+8jjCqEb/iXy7N7WXQlgAAq3BlaZ3EvaGojHG/Bb91+F63Y/7h4ET8vzvgIwE5AOhTUUGSySaCxxdHs9xM45GM2N8bYVWDxfio7lrz0bDZdoN6zOEeACszU/j5HYsdi6ScopkTpI51dSHlGZfzbe2yJBxpdhGOj4OmTn3Ikd3pq7pNi8GPS9FG4sETvm/oWUcHi7Rtz067fImqu4aEzeq1Ci960lfKzV1VIc0Xac0/0lgscBHGFha4Bi41GQqe9K+aSUQ1k7lO9DehBaxA7l+aMF29Z8jcplK/GnVl8vsYPUkUVOvGndIN5+z5XGHxuxc1GoSR19ubeUnmzy6Lj13t9qo02AWyN2LhKQCY5+2/39507smDtrhxL9Rq5rq71E7JBruvExpt+S4gpF1oidBAnl+qcVKUEcFvGCiKVgs0exekH5RwOIlrDq1SQE7mIBZYblR7cN2wR34U+lYGvIkxdMSEx6+0urD73XZ2Gq22MJHjkV2KJSS/qI9mUtYQdYQkEc4vSuQ4eaWsQOd927FrBHejoY30NSLGX5/ZPGgBY7FtjI8sf/M1eA7fi+/K2WVb6V2EHEb1/mrZZbvA9EDHy5ba01r9lea6mvWXDRuXKo+22C25rex7xBXBn6wZMYt3YPMP2wFOuBhZ4fdarfaFd8a4xs3oGdu3YRpevDwvkDUqoGT43YtRXQaiAUvI0j6GcwYBBynTQAIsTqww5Wq65aW7gQGU02tfdBCCDUX5KClShim1h9AWgcToFFyhsXgZ6xPWsPTGt9n0XwkLmnS8Hq/imFSYz2jLZIW7KN63qCHSIJqkXsvK6tJyySEIpCsg5+F1K+KcVrLTI+CFIfqTzXZArzCMSONsIdjB935rTi7VuJHe8qZTBD3j4h5c9Le7SFVdJVJHWERrRBhHHAs96EZI9cHuIeG2eveToxZ+6QcuPSyK3Ezr5ykQ09+9qAPHuw2pvYdbZ7ycPl8T5XkxfXYuh0FdSSV2gpeBN2dENBilDeGHwMllaemDBrbjc7SDpe4c3S9Az02j1akVAgLE46IQj9ifTJ275ZmHreP4vg+W4o2jdLgccDBMNfT9Z3KSvX08fSPZDPPeOmLWKn/FnZ17sLoqEMKlBYp/BAeRcEvZhqix1eGRoWOt7OBMHS+I8gdrTdygn6f7MU4mdjzFr30fW8tjUp4lGxXsFebEfqRN3/WrgF+hghNO1hG0HsXDR9beGLXjxqz+1J7DbGXlogWVd9rd3FMOEasbeImysOT9YqGkWhgGLECthmHOuORGLedOF6FxgjBMISeynWRGHGqh+JI16cIu2bhWmkDbMJHpPgq1JoLfUcwDKS2InNVoUZbVNJfrTC1NYgLCucgoZnekiZSm4vD4kldmBM/cM2kDhxjZY8x2IWsVtXcynpie1rKeKofjo2Ytdbode2NkOucSCLThrbSuwceywYwhniTmW2J7Frg6ykR9Dfz0qhxw2n1WnjRnepOBZrxK6F2BItV9QRNzMXArVntKKLKBQ+t1XROsf/7tsssa8pXWD3JinYm03XVORda/fOwjTSPsiJjkFifLGqHplboN2kUY9OpC+ee/VCY4trfgSx6xAUDwsBqeNY2fdI6ckvoRLe81yKErFjLJhZzpMGS5a8nY+eMazdY8ekpFO0CxX1zNI7aMuI34VUMiLRVctaLfQKIwueWHv2wBZiZwLlvwr1jsCHdexF7DrMFTFS8NwzpOB8Dx0SQvsv8U9rOxvdX3blSkuxtd2BoOmYfa0zelJFLPYRK9vI+6wiqVkLWlk9Vh5ColkL74igzsTU0w5L6Ewq6rUSW+/USWLR8WrVHb1urZeZrvk1VzytRM5DzEsc7FLaYuPto+fUsVZdvVnxdlxpqUGpc1FMOdAuyFkWe4m0Lfl7dWALs2O+rg25GqnTVV467rmX2BG6wHkSILKIEVnCcgRPoN6t401OjZC67Y/Whbh2ab61iIbJEtZKiu5d1w2pJZCwzqilMGLAokQRtdi53SP6nrXJPhPTtfeWCB0nVPVaiF6FtuZB8tYx6j5N7LP399eIXbcBBMRDQHpyEDQux0TsaBdJRRsXNt6exD5Ksi/Xo7ccriVJQ07hMsZpgfbH5EH9dxAkfrTuS+TPpGQ+t4VUR/DEVmInn24hdWKhExkv4dIidlRiSVyTPd1/LbHiRIQSLB1+oK3P6GqfVksxiaDVsM7rx0DsMzEtwXIoQtdt4eQcuUCKioB2xWNCXTrOMVph4/4asdsMZVYT2XpaejUTWfc8m6Lmimf7WvH2QxJ7VF8NFo/p1cEL9GwpNVKHHMLVHw0tseHkoBKxQ5ZfKkXHl3tDH63QBrfSwbAsLU7YXnzd7tYO1FvJf9z2HUl0tR67/zfLQ+x6iwGs7Zp7fq2vVMi1lYrOtowqbdu+DszDj0SJHTFPbJvxLoQ8DZqJqX7/MRA624M+98TYe5VObRzQhs90TnDP2Op7asSuEycRCriQgozsHnzsePMjPNG5GO0b728RO+5jvJ1zSFvyt8j1Ecmpnhi7555eHPRzoyzMXiJEW0DaeL5G6rTmESbpnWNrxI5r1u2Mds2Qy5kxduL0C2l7LfkPnjJ8ACmSD0Hv2qUx9hC7XkkBUJ5y5d2TqZ8vJcXpxKgeF4XeKjdjwEuTNErsOJYUSSWjkudmY4o+W0KHW+xTUpBE05OUtVXZcZx7ZKRX6ZTaPNv1bt9ZI3YmcdFi1C70rSRHS2Ava9RD7NQT+sMwI/sM3D2kTQ8mx8mrB6Pyf2hix3yDMVIjdYwZvsKH/frAAHoBZyeUfr2uePKTHZea5zeKsb5/JrFjPtVIHXoWhx8hAZn8BVmHVwDnoUDf1fQt5f8S73mIHZ2nEgGgsAoibjo9+Ur7OOkB2JJhzPZFt5T0CkJkuxuEHgfZYOBsUhMmR8+Je7Mx1fUDU0zgyEqyF9e15xjDm5moVnq/XjjC9Q635J4LmxKx63wDkriOuet50OPi027+yA6V3nH3EDvq5n3aQllLLoRVj/wWr3vTEkhru1tED0axabmOvfVddMxdfepg6z2eRWRv8hz5SWeSsz1bQ062X7OI3Z59UMNTe9q0HOLvte9VgPeKWwC9xG4TaiLuHa7+S6Sr98pv+ZKWFpw9yN0SOwbLYsI2YfLjZ3ML9OBFk0JmY4q2YZW9F6FTviDEpQUQiSYidy2F5L3OiTlakXjfXyIu7Z7UyXJaiTDnBM9/UAquRX5aPmeTu5fY0X7KCi1lLmgswWid5U3ItcRuT5ejEUIc98zriYzdlnsjpI73eDwWW4kd7ykdsTpSLmcQu5fU0T/NASVvDfQP5j2NCtSNLdTFzwF7iV1bCJFjX2tWhJ6gaDAmYc9BGlqAtZWBNt4mZZaVWbLYkXyBwbmQglgJj5S1p1exzXbwvEK6B6aYRFEi2KJM7ATA4uwOKfBm8Pz9GR+eabWZMcbRslRSdK22aOKqebnssaiwVP+5KMVW/fY644I3LBdQ1+hjPPnOCLHjGXpvYMlARoCHJfaW9V3Cwz4DOcQHaOD+t+7knpBQdAz2vt+Ouef9Hg7xELvW33yv3eFhDwHyLtg8/RhN7KX+rLVDGy36ABv9DBP7sPsAOT6a6K+p2zMofKCagbfSWnvONuIMUDQPlnKXFMRwRn7Yg4q4dkpPranR2Hwpxo6PwIDM+WlLKAX0t7av23pBPC4ttH9vTD2TYus9PD725VIRQj34UYi/I/+GoG9d+EXbCFnCh0FmLCi2EjvjvCVy0V9ks6v8KAYYFxw2ZD++0aonGpuPEnvpXHc7fxgjpi7wtKkUY/+idJYfpkG/uejcc+HbwnvUdeuRaNXr9Y62iL2mt7WBVsuTGRUOGUnskW+tEGNr2AETfCr5JimQYWCN8xxc+jBC7K1BLl3XlljknOSed/EZJh7grGKvQhpB7FsOBYFQedtwCEy3jMcpPktCG/XlqFPEQLcZill/ubDVHw+JtuoYeR2kYI85LdXvSZ4b2a6s63gQGEnsB+/VbGLfO6ltL0A9WfHetjC71JsxvwemtdWxt0+4z7tQidSZ9yYCUQR4ep3nYzZJ7FF0z+d+Jiv27lM/KiRmEruOyx8q8WgW2KOIHS4bbCF7hRRPSGIvTJPYZ0lO1rsnAvS8XMhLPfk2Sex7jk6+axoCM4ldZ+56E8OmdXRwxSOIHaSO2N3bnKSOLpwzpoOHKKu74gjwC1l3Cg7eeHhPwt0Vhzm7f4wIzCR2ncG49fzqY8NuBLH39OmcMe3BI59JBEYhUErwQvLW3ucmjOpP1nOFEZhB7Ey0wdGP/CGbD7GL288Ea7tVzZvR3tv9q4BpLzb5XCKwFQFkIN+8UslZxF23gpTPnw4CM4j9dHrf31IQrf5hK9be27H6W59PJgKJQCKQCJwtAknsZzu02bFEIBFIBBKBq4hAEvtVHPXscyKQCCQCicDZIvA/J1kWcvrzecQAAAAASUVORK5CYII=\" width=\"251\" height=\"19\" style=\"width: 251px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.025px 8px; transform-origin: 99.025px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.7333px 8px; transform-origin: 58.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhich I named the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 76.4167px 8px; transform-origin: 76.4167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e‘Christmas eve equation'\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 68.0417px 8px; transform-origin: 68.0417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. From it I then wrote :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"249\" height=\"19\" style=\"width: 249px; height: 19px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57.95px 8px; transform-origin: 57.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand I named it the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.2167px 8px; transform-origin: 99.2167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e‘golden prime squares equation’\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 215.483px 8px; transform-origin: 215.483px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. These two formulas, which are actually the same one, can easily be proven starting from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"111.5\" height=\"18\" style=\"width: 111.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 182.033px 8px; transform-origin: 182.033px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (note this last formula applies not only to prime numbers). \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 299.367px 8px; transform-origin: 299.367px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e* Apparently, I rediscovered it since I found it a posteriori on this excellent French math website : \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"/#null\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eSite de Gérard Villemin\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 233.5px 8px; transform-origin: 233.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour goal here is to check this formula for the first primes less or equal to a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 45.4917px 8px; transform-origin: 45.4917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003egiven integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.16667px 8px; transform-origin: 8.16667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 97.8417px 8px; transform-origin: 97.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(input). To do so you will simply compute \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.5px 8px; transform-origin: 3.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 211.575px 8px; transform-origin: 211.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a vector. For the two first cases where the formula doesn’t apply -\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e3\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.9083px 8px; transform-origin: 94.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e- your function should return 0.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.9833px 8px; transform-origin: 21.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 20\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 82.6333px 8px; transform-origin: 82.6333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ek = [0, 0, 1, 2, 5, 7, 12, 15]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e5\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 26.4333px 8px; transform-origin: 26.4333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e^2 = 24x\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 46.075px 8px; transform-origin: 46.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e + 1, 7^2 = 24x\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.75px 8px; transform-origin: 15.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e + 1, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 7.4px 8px; transform-origin: 7.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e11\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 26.4333px 8px; transform-origin: 26.4333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e^2 = 24x\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e5\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 32.0833px 8px; transform-origin: 32.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e + 1, etc…\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.9833px 8px; transform-origin: 21.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 40\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 133.575px 8px; transform-origin: 133.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ek = [0, 0, 1, 2, 5, 7, 12, 15, 22, 35, 40, 57] ;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.9167px 8px; transform-origin: 64.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFobidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 161.05px 8px; transform-origin: 161.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(my file exchange contributions using this equation) \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/171714-isprime-optimus-fast?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-style: italic; \"\u003eIsprime optimus [FAST]\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/171709-prime-numbers-spiral?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime number spiral (my corresponding contribution on my file exchange)\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function k = golden_prime_squares(m)\r\n\r\n k = m;\r\n \r\nend","test_suite":"%%\r\nm = 4;\r\nk_correct = [0, 0];\r\nassert(isequal(golden_prime_squares(m),k_correct))\r\n\r\n%%\r\nm = 20;\r\nk_correct = [0, 0, 1, 2, 5, 7, 12, 15];\r\nassert(isequal(golden_prime_squares(m),k_correct))\r\n\r\n%%\r\nm = 40;\r\nk_correct = [0, 0, 1, 2, 5, 7, 12, 15, 22, 35, 40, 57];\r\nassert(isequal(golden_prime_squares(m),k_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('golden_prime_squares.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T06:55:57.000Z","deleted_by":null,"deleted_at":null,"solvers_count":22,"test_suite_updated_at":"2025-07-09T05:55:18.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-27T16:53:40.000Z","updated_at":"2026-03-11T11:59:56.000Z","published_at":"2025-06-27T17:08:17.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn december 2023, I / \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/profile/authors/8668631?s_tid=user_nav_comm\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eNicolas Douillet\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e was working on prime squares properties and I found* the formula :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\forall p \\\\in \\\\mathbb{p}, p \\\\geq 5 \\\\Rightarrow \\\\exists k \\\\in \\\\mathbb{N}, \\\\mathbf{p^2 = 24k + 25}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhich I named the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e‘Christmas eve equation'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. From it I then wrote :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\forall p \\\\in \\\\mathbb{p}, p \\\\geq 5 \\\\Rightarrow \\\\exists k \\\\in \\\\mathbb{N}^*, \\\\mathbf{p^2 = 24k + 1}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand I named it the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e‘golden prime squares equation’\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. These two formulas, which are actually the same one, can easily be proven starting from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep = 6n \\\\pm 1, p \\\\geq 5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (note this last formula applies not only to prime numbers). \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e* Apparently, I rediscovered it since I found it a posteriori on this excellent French math website : \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eSite de Gérard Villemin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour goal here is to check this formula for the first primes less or equal to a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003egiven integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(input). To do so you will simply compute \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in a vector. For the two first cases where the formula doesn’t apply -\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e- your function should return 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 20\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek = [0, 0, 1, 2, 5, 7, 12, 15]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e^2 = 24x\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e + 1, 7^2 = 24x\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e + 1, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e11\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e^2 = 24x\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e + 1, etc…\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 40\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek = [0, 0, 1, 2, 5, 7, 12, 15, 22, 35, 40, 57] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFobidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc 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w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(my file exchange contributions using this equation) \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/171714-isprime-optimus-fast?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIsprime optimus [FAST]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/171709-prime-numbers-spiral?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime number spiral (my corresponding contribution on my file exchange)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45220,"title":"Find triangles from edge","description":"First input is T, a Triplet list of indices -whom each row actually contains the three indices of a triangle vertices-. size(T) = [nb_triangles, 3]. Second input is e = [e1, e2], a row vector, couple of indices. Output S is the triplet list of indices which Share the edge e. For instance, if\r\ne = [2, 4]\r\nand T a tetrahedron\r\nT = [1, 2, 3;...\r\n 1, 3, 4;...\r\n 1, 2, 4;...\r\n 2, 3, 4]\r\nthen the output of the function is\r\nS = [1, 2, 4;...\r\n 2, 3, 4]\r\nsince both triangles [1, 2, 4] and [2, 3, 4] contain the edge [2, 4].\r\nConditions :\r\nIf the edge is not part of any triangle in the list, the function must of course return the empty set, [].\r\nEdges are symmetric : [e1, e2] is the same edge as [e2, e1]\r\nOrder of rows / edges in the output doesn't matter.\r\nTriangle indices are assumed always to be sorted in ascending order, T = [t1, t2, t3] with t1 \u003c t2 \u003c t3.\r\nEvery indices are positive, distinct integers.\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 572.2px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 286.1px; transform-origin: 408px 286.1px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 374.5px 8px; transform-origin: 374.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFirst input is T, a Triplet list of indices -whom each row actually contains the three indices of a triangle vertices-. size(T) = [nb_triangles, 3]. Second input is e = [e1, e2], a row vector, couple of indices. Output S is the triplet list of indices which Share the edge e. For instance, if\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 38.5px 8.5px; tab-size: 4; transform-origin: 38.5px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ee = [2, 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.4583px 8px; transform-origin: 61.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand T a tetrahedron\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 40.8667px; transform-origin: 405px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; 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border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 1, 3, 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 1, 2, 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 50.05px 8.5px; tab-size: 4; transform-origin: 50.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.5667px 8px; transform-origin: 99.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen the output of the function is\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 40.8667px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 20.4333px; transform-origin: 405px 20.4333px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003eS = [1, 2, 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 50.05px 8.5px; tab-size: 4; transform-origin: 50.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 197.567px 8px; transform-origin: 197.567px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince both triangles [1, 2, 4] and [2, 3, 4] contain the edge [2, 4].\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8167px 8px; transform-origin: 40.8167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eConditions :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.167px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 51.0833px; transform-origin: 392px 51.0833px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 302.95px 8px; transform-origin: 302.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf the edge is not part of any triangle in the list, the function must of course return the empty set, [].\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 69.6167px 8px; transform-origin: 69.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEdges are symmetric :\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 118.233px 8px; transform-origin: 118.233px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e[e1, e2] is the same edge as [e2, e1]\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 167.692px 8px; transform-origin: 167.692px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eOrder of rows / edges in the output doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 330.342px 8px; transform-origin: 330.342px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTriangle indices are assumed always to be sorted in ascending order, T = [t1, t2, t3] with t1 \u0026lt; t2 \u0026lt; t3.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 17.8917px 8px; transform-origin: 17.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEvery\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 124.817px 8px; transform-origin: 124.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eindices are positive, distinct integers.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function S = find_triangles_from_edge(T,e)\r\n S = [];\r\nend","test_suite":"%% Tetrahedron\r\nT = [1, 2, 3;...\r\n 1, 3, 4;...\r\n 1, 2, 4;...\r\n 2, 3, 4];\r\n\r\ne = [2, 4];\r\n\r\nS = [1, 2, 4;...\r\n 2, 3, 4];\r\n\r\nassert(isequal(sortrows(find_triangles_from_edge(T,e)),S))\r\n\r\n%% Filled octahedron (two pyramids stuck together via their square bases)\r\nT = [1, 2, 3;...\r\n 1, 3, 4;...\r\n 1, 4, 5;...\r\n 1, 2, 5;...\r\n 2, 3, 6;...\r\n 3, 4, 6;...\r\n 4, 5, 6;...\r\n 2, 5, 6;...\r\n 2, 3, 4;...\r\n 2, 4, 5;...\r\n 1, 2, 4;...\r\n 2, 4, 6];\r\n\r\ne = [2, 4];\r\n\r\nS = [1, 2, 4;...\r\n 2, 3, 4;...\r\n 2, 4, 5;...\r\n 2, 4, 6];\r\n\r\nassert(isequal(sortrows(find_triangles_from_edge(T,e)),S))\r\n\r\n%% Triangulated cube\r\nT = [1, 2, 4;...\r\n 2, 3, 4;...\r\n 5, 6, 8;...\r\n 6, 7, 8;...\r\n 1, 2, 5;...\r\n 2, 5, 6;...\r\n 2, 3, 6;...\r\n 3, 6, 7;...\r\n 3, 4, 7;...\r\n 4, 7, 8;...\r\n 1, 4, 8;...\r\n 1, 5, 8];\r\n\r\ne = [3, 7];\r\n\r\nS = [3, 4, 7;...\r\n 3, 6, 7];\r\n\r\nassert(isequal(sortrows(find_triangles_from_edge(T,e)),S))\r\n\r\n%% Empty set test\r\nT = [2, 3, 5;...\r\n 3, 5, 7;...\r\n 5, 7, 11;...\r\n 7, 11, 13];\r\n\r\ne = [6, 8];\r\n\r\nassert(isempty(find_triangles_from_edge(T,e)))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('find_triangles_from_edge.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:51:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":37,"test_suite_updated_at":"2025-07-09T05:48:39.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-12-03T18:46:56.000Z","updated_at":"2025-12-18T17:15:46.000Z","published_at":"2019-12-03T20:30:58.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFirst input is T, a Triplet list of indices -whom each row actually contains the three indices of a triangle vertices-. size(T) = [nb_triangles, 3]. Second input is e = [e1, e2], a row vector, couple of indices. Output S is the triplet list of indices which Share the edge e. For instance, if\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[e = [2, 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand T a tetrahedron\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1, 2, 3;...\\n 1, 3, 4;...\\n 1, 2, 4;...\\n 2, 3, 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen the output of the function is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[S = [1, 2, 4;...\\n 2, 3, 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince both triangles [1, 2, 4] and [2, 3, 4] contain the edge [2, 4].\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eConditions :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf the edge is not part of any triangle in the list, the function must of course return the empty set, [].\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEdges are symmetric :\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[e1, e2] is the same edge as [e2, e1]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOrder of rows / edges in the output doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTriangle indices are assumed always to be sorted in ascending order, T = [t1, t2, t3] with t1 \u0026lt; t2 \u0026lt; t3.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEvery\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eindices are positive, distinct integers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60954,"title":"My wife's logic","description":"Its is always the opposite of the causality law, that is to say the opposite of the implication relationship in math/logic terms :\r\n\r\n\r\n\r\nFigure out what the result R is, function of given inputs A and B, logical variables in the combinations of their true / false states.\r\n\r\nForbidden functions\r\nregexp\r\nstr2num\r\nassignin\r\necho","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 313.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 156.867px; transform-origin: 408px 156.867px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378.45px 8px; transform-origin: 378.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIts is always the opposite of the causality law, that is to say the opposite of the implication relationship in math/logic terms :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"77\" height=\"20\" style=\"width: 77px; height: 20px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.9px 8px; transform-origin: 80.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFigure out what the result \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7px 8px; transform-origin: 7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eR \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.4583px 8px; transform-origin: 82.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis, function of given inputs \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.94167px 8px; transform-origin: 8.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eB, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.933px 8px; transform-origin: 171.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003elogical variables in the combinations of their true / false states.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.6417px 8px; transform-origin: 67.6417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = my_wife_logic(a,b)\r\n r = false;\r\nend","test_suite":"%%\r\na = false;\r\nb = false;\r\nr_correct = false;\r\nassert(isequal(my_wife_logic(a,b),r_correct))\r\n\r\n%%\r\na = false;\r\nb = true;\r\nr_correct = false;\r\nassert(isequal(my_wife_logic(a,b),r_correct))\r\n\r\n%%\r\na = true;\r\nb = false;\r\nr_correct = true;\r\nassert(isequal(my_wife_logic(a,b),r_correct))\r\n\r\n%%\r\na = true;\r\nb = true;\r\nr_correct = false;\r\nassert(isequal(my_wife_logic(a,b),r_correct))\r\n\r\n%% Test forbidden functions\r\nfiletext = fileread('my_wife_logic.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-10T12:21:44.000Z","deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":"2025-07-08T13:27:36.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-05T18:47:42.000Z","updated_at":"2026-03-17T12:09:04.000Z","published_at":"2025-07-05T19:03:39.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIts is always the opposite of the causality law, that is to say the opposite of the implication relationship in math/logic terms :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\mathbf{R = \\\\overline{A \\\\Rightarrow B}}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFigure out what the result \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eR \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eis, function of given inputs \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eB, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003elogical variables in the combinations of their true / false states.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId 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w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":759,"title":"mathematics , probability problem","description":"How many different result can we have, rolling k dice?\r\n","description_html":"\u003cp\u003eHow many different result can we have, rolling k dice?\u003c/p\u003e","function_template":"function y = your_fcn_name(k)\r\n y = k;\r\nend","test_suite":"%%\r\nk = 2;\r\ny_correct = 21;\r\nassert(isequal(your_fcn_name(k),y_correct))\r\n%%\r\nk = 6;\r\ny_correct = 462;\r\nassert(isequal(your_fcn_name(k),y_correct))\r\n\r\n%%\r\nk = 20;\r\ny_correct = 53130;\r\nassert(isequal(your_fcn_name(k),y_correct))\r\n\r\n%%\r\nk = 3;\r\ny_correct = 56;\r\nassert(isequal(your_fcn_name(k),y_correct))\r\n\r\n%%\r\nk = 5;\r\ny_correct = 252;\r\nassert(isequal(your_fcn_name(k),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":4320,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":70,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2012-06-12T15:51:36.000Z","updated_at":"2026-02-18T15:38:55.000Z","published_at":"2012-06-12T15:51:36.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHow many different result can we have, rolling k dice?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":44618,"title":"surface areas of a cylinder","description":"There are 3 inputs: option, radius and height. If option= '1', compute the lateral surface area of the cylinder, for option 2 calculate the total surface area of the cylinder. For any other option, compute the total area of both flat sides of the cylinder.","description_html":"\u003cp\u003eThere are 3 inputs: option, radius and height. If option= '1', compute the lateral surface area of the cylinder, for option 2 calculate the total surface area of the cylinder. For any other option, compute the total area of both flat sides of the cylinder.\u003c/p\u003e","function_template":"function y = surface_area_cyl(optn,r,h)\r\n y = r*h;\r\nend","test_suite":"%%\r\noptn=1;\r\nr=3;\r\nh=6;\r\ny_correct = 36*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=5;\r\nr=3;\r\nh=6;\r\ny_correct = 18*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=2;\r\nr=2;\r\nh=2;\r\ny_correct = 16*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=0;\r\nr=5;\r\nh=10;\r\ny_correct = 50*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=1;\r\nr=5;\r\nh=10;\r\ny_correct = 100*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=2;\r\nr=5;\r\nh=10;\r\ny_correct = 150*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=42;\r\nr=3;\r\nh=7;\r\ny_correct = 18*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=2;\r\nr=3\r\nh=7;\r\ny_correct = 60*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=1;\r\nr=3;\r\nh=7;\r\ny_correct = 42*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":171559,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":53,"test_suite_updated_at":"2018-07-16T16:54:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2018-04-20T05:49:29.000Z","updated_at":"2026-04-03T06:59:13.000Z","published_at":"2018-04-20T05:49:29.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThere are 3 inputs: option, radius and height. If option= '1', compute the lateral surface area of the cylinder, for option 2 calculate the total surface area of the cylinder. For any other option, compute the total area of both flat sides of the cylinder.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":721,"title":"Convert from Base 10 to base 5","description":"Convert the input number from base 10 into base 5:\r\n\r\nfor example:\r\n\r\nif a(in base 10)= 5\r\n\r\nthen a(in base 5)= 10\r\n\r\n","description_html":"\u003cp\u003eConvert the input number from base 10 into base 5:\u003c/p\u003e\u003cp\u003efor example:\u003c/p\u003e\u003cp\u003eif a(in base 10)= 5\u003c/p\u003e\u003cp\u003ethen a(in base 5)= 10\u003c/p\u003e","function_template":"function y = cbase5(x)\r\n y = x;\r\nend","test_suite":"%%\r\nx = 5;\r\ny_correct = 10;\r\nassert(isequal(cbase5(x),y_correct))\r\n\r\n\r\n%%\r\nx = 6;\r\ny_correct = 11;\r\nassert(isequal(cbase5(x),y_correct))\r\n\r\n\r\n%%\r\nx = 50;\r\ny_correct = 200;\r\nassert(isequal(cbase5(x),y_correct))\r\n\r\n\r\n%%\r\nx = 2;\r\ny_correct = 2;\r\nassert(isequal(cbase5(x),y_correct))\r\n\r\n%%\r\nx = 0;\r\ny_correct = 0;\r\nassert(isequal(cbase5(x),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":4320,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":281,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2012-05-24T13:17:12.000Z","updated_at":"2026-01-30T17:02:17.000Z","published_at":"2012-05-24T13:17:12.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConvert the input number from base 10 into base 5:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003efor example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eif a(in base 10)= 5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen a(in base 5)= 10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45218,"title":"Find a common edge","description":"First input is T, a triplet list of indices. Second input is e = [e1 e2], a row vector, couple of indices (positive distinct integers always sorted in ascending order, ie e1 \u003c e2 ). The goal of this function is to find and return the indices of the rows in the list which contain this particular edge. Output format can be either a column or a row vector.\r\nFor example if inputs are\r\nT = [1 2 3 ;\r\n 1 3 4 ;\r\n 1 4 2 ;\r\n 2 3 4]\r\nand\r\ne = [2 3]\r\nthe output is the vector\r\nrow_idx = [1 4]\r\nsince [2 3] is contained in rows number 1 and 4 of T. With the same input T, but with e = [2 4] this time, the output is the vector row_idx = [3 4], since [2 4] is contained in rows number 3 and 4 of T (Note that edge [b a] is the same as edge [a b] so must be the corresponding outputs). If the edge is not in the list, the function must of course return the empty set.\r\n\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 500.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 250.3px; transform-origin: 408px 250.3px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 377.083px 8px; transform-origin: 377.083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFirst input is T, a triplet list of indices. Second input is e = [e1 e2], a row vector, couple of indices (positive distinct integers always sorted in ascending order, ie\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.5417px 8px; transform-origin: 23.5417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ee1 \u0026lt; e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 247.358px 8px; transform-origin: 247.358px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e ). The goal of this function is to find and return the indices of the rows in the list which contain this particular edge. Output format can be either a column or a row vector.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.0167px 8px; transform-origin: 77.0167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example if inputs are\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 40.8667px; transform-origin: 405px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 46.2px 8.5px; tab-size: 4; transform-origin: 46.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eT = [1 2 3 ;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 46.2px 8.5px; tab-size: 4; transform-origin: 46.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 1 3 4 ;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 46.2px 8.5px; tab-size: 4; transform-origin: 46.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 1 4 2 ;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 8.5px; tab-size: 4; transform-origin: 42.35px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 3 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 34.65px 8.5px; tab-size: 4; transform-origin: 34.65px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ee = [2 3]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 70.7833px 8px; transform-origin: 70.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe output is the vector\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 57.75px 8.5px; tab-size: 4; transform-origin: 57.75px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003erow_idx = [1 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 369.667px 8px; transform-origin: 369.667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince [2 3] is contained in rows number 1 and 4 of T. With the same input T, but with e = [2 4] this time, the output is the vector row_idx = [3 4], since [2 4] is contained in rows number 3 and 4 of T (Note that\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 117.825px 8px; transform-origin: 117.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eedge [b a] is the same as edge [a b]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.725px 8px; transform-origin: 1.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e so must be the corresponding outputs). If the edge is not in the list, the function must of course return the empty set.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function row_idx = find_common_edge(T,e)\r\n row_idx = e;\r\nend","test_suite":"%% Tetrahedron 1\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 2;...\r\n 2 3 4];\r\n\r\ne = [2 3];\r\nrow_idx = [1 4];\r\n\r\nassert(isequal(find_common_edge(T,e),row_idx) || isequal(find_common_edge(T,e),row_idx'))\r\n\r\n%% Tetrahedron 2\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 2;...\r\n 2 3 4];\r\n\r\ne = [2 4];\r\nrow_idx = [3 4];\r\n\r\nassert(isequal(find_common_edge(T,e),row_idx) || isequal(find_common_edge(T,e),row_idx'))\r\n\r\n%% Octahedron\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 5;...\r\n 1 5 2;...\r\n 6 3 2;...\r\n 6 4 3;...\r\n 6 5 4;...\r\n 6 2 5];\r\n\r\ne = [1 5];\r\nrow_idx = [3 4];\r\n\r\nassert(isequal(find_common_edge(T,e),row_idx) || isequal(find_common_edge(T,e),row_idx'))\r\n\r\n%% Triangulated cube\r\nT = [1 2 4;...\r\n 2 3 4;...\r\n 5 6 8;...\r\n 6 7 8;...\r\n 1 2 5;...\r\n 2 5 6;...\r\n 2 3 6;...\r\n 3 6 7;...\r\n 3 4 7;...\r\n 4 7 8;...\r\n 4 1 8;...\r\n 1 8 5];\r\n\r\ne = [6 7];\r\nrow_idx = [4 8];\r\n\r\nassert(isequal(find_common_edge(T,e),row_idx) || isequal(find_common_edge(T,e),row_idx'))\r\n\r\n%% Empty set test\r\nT = [2 3 5;...\r\n 3 5 7;...\r\n 5 7 11;...\r\n 7 11 13];\r\n\r\ne = [6 28];\r\n\r\nassert(isempty(find_common_edge(T,e)))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('find_common_edge.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:50:32.000Z","deleted_by":null,"deleted_at":null,"solvers_count":42,"test_suite_updated_at":"2025-07-09T05:45:58.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-12-01T17:21:36.000Z","updated_at":"2026-03-14T18:58:02.000Z","published_at":"2019-12-01T18:01:01.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFirst input is T, a triplet list of indices. Second input is e = [e1 e2], a row vector, couple of indices (positive distinct integers always sorted in ascending order, ie\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ee1 \u0026lt; e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e ). The goal of this function is to find and return the indices of the rows in the list which contain this particular edge. Output format can be either a column or a row vector.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example if inputs are\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1 2 3 ;\\n 1 3 4 ;\\n 1 4 2 ;\\n 2 3 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[e = [2 3]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethe output is the vector\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[row_idx = [1 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince [2 3] is contained in rows number 1 and 4 of T. With the same input T, but with e = [2 4] this time, the output is the vector row_idx = [3 4], since [2 4] is contained in rows number 3 and 4 of T (Note that\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eedge [b a] is the same as edge [a b]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e so must be the corresponding outputs). If the edge is not in the list, the function must of course return the empty set.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60983,"title":"Check Euler's characteristic on regular polyhedra","description":"Problem statement\r\nGiven the number of vertices and the number of faces of a given regular polyhedron, compute the number of its edges with Euler characteristic, a powerful generic formula linking these three.\r\n\r\nExamples -\u003e check the test suite\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 414.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 207.367px; transform-origin: 408px 207.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 263.333px 8px; transform-origin: 263.333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the number of vertices and the number of faces of a given regular polyhedron, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 110.042px 8px; transform-origin: 110.042px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ecompute the number of its edges\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e with Euler characteristic, a powerful generic formula linking these three.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6167px 8px; transform-origin: 34.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.425px 8px; transform-origin: 6.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.8917px 8px; transform-origin: 59.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003echeck the test suite\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function e = check_Euler_chracteristic(v,f)\r\n e = f;\r\nend","test_suite":"%% tetrahedron\r\nv = 4;\r\nf = 4;\r\ne_correct = 6;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% octahedron\r\nv = 6;\r\nf = 8;\r\ne_correct = 12;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% hexahedron / cube\r\nv = 8;\r\nf = 6;\r\ne_correct = 12;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% icosahedron\r\nv = 12;\r\nf = 20;\r\ne_correct = 30;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% dodecahedron\r\nv = 20;\r\nf = 12;\r\ne_correct = 30;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('check_Euler_chracteristic.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:45:16.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:08:07.000Z","updated_at":"2026-02-10T17:11:09.000Z","published_at":"2025-07-24T07:25:21.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the number of vertices and the number of faces of a given regular polyhedron, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecompute the number of its edges\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e with Euler characteristic, a powerful generic formula linking these three.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60980,"title":"Mesh the tetrahedron","description":"Problem statement\r\n\r\nAn tetrahedron is a regular polyhedron with 4 vertices and 4 triangular faces. It is also one of the five well known platonic solids.\r\nA triangulated mesh -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this tetrahedron. To do so, you will list the triangles/rows in a matrix of triangles, T. You will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles [1, 2, 3] and [3, 2, 1] are distinct).\r\nOn the other hand [1, 2, 3], [2, 3, 1] and [3, 1, 2] are one same unique triangle.\r\nThe row order of the triangles in the list doesn't matter.\r\n \r\nEdit / update\r\nTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\r\n\r\nExample\r\nThe first triangle (X \u003e 0 and Y \u003e 0) here can be [1, 2, 4] if counterclockwise oriented (normals outward).\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1194.73px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 597.367px; transform-origin: 408px 597.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 374.592px 8px; transform-origin: 374.592px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn tetrahedron is a regular polyhedron with 4 vertices and 4 triangular faces. It is also one of the five well known platonic solids.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 157.542px 8px; transform-origin: 157.542px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.533px 8px; transform-origin: 206.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 328.017px 8px; transform-origin: 328.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this tetrahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.51667px 8px; transform-origin: 7.51667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 49.4667px 8px; transform-origin: 49.4667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 2, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are distinct).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[2, 3, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 1, 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.5333px 8px; transform-origin: 94.5333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are one same unique triangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.5917px 8px; transform-origin: 13.5917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.9833px 8px; transform-origin: 41.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdit / update\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 351.75px 8px; transform-origin: 351.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 52.1167px 8px; transform-origin: 52.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 53.2917px 8px; transform-origin: 53.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(X \u0026gt; 0 and Y \u0026gt; 0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 148.208px 8px; transform-origin: 148.208px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented (normals outward).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_tetrahedron()\r\n T = 1;\r\nend","test_suite":"%%\r\nT_correct = [1 2 4;\r\n 2 3 4;\r\n 3 1 4;\r\n 1 3 2];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_tetrahedron(),2)),sortrows(sort(T_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_tetrahedron.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:43:58.000Z","deleted_by":null,"deleted_at":null,"solvers_count":39,"test_suite_updated_at":"2025-07-23T16:17:50.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T11:03:01.000Z","updated_at":"2026-03-31T18:44:34.000Z","published_at":"2025-07-23T11:11:01.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn tetrahedron is a regular polyhedron with 4 vertices and 4 triangular faces. It is also one of the five well known platonic solids.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this tetrahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 2, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are distinct).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[2, 3, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 1, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are one same unique triangle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdit / update\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(X \u0026gt; 0 and Y \u0026gt; 0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented (normals outward).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"378\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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the pentagon (with the minimum number of triangles)","description":"Problem statement\r\n\r\nAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set V, corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\r\n\r\nV = [1 0 0;\r\n cos(2*pi/5) sin(2*pi/5) 0;\r\n cos(4*pi/5) sin(4*pi/5) 0;\r\n cos(4*pi/5) sin(-4*pi/5) 0;\r\n cos(2*pi/5) sin(-2*pi/5) 0];\r\n\r\nA triangulated mesh T (stands for triangles here) -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, F. The row order of the triangles in the list doesn't matter.\r\n\r\nExample\r\nThe first triangle here can be [1, 2, 3] if counterclockwise oriented.\r\n\r\n\r\n\r\n\r\nTip\r\nBeware to avoid self intersecting triangles.\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1278.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 639.2px; transform-origin: 408px 639.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.525px 8px; transform-origin: 327.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.09167px 8px; transform-origin: 6.09167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eV,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.2417px 8px; transform-origin: 48.2417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 102.167px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 51.0833px; transform-origin: 405px 51.0833px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eV = [1 0 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e cos(2*pi/5) sin(2*pi/5) 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e cos(4*pi/5) sin(4*pi/5) 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e cos(4*pi/5) sin(-4*pi/5) 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 127.05px 8.5px; tab-size: 4; transform-origin: 127.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e cos(2*pi/5) sin(-2*pi/5) 0];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.1833px 8px; transform-origin: 64.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 176.983px 8px; transform-origin: 176.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.633px 8px; transform-origin: 132.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384.442px 8px; transform-origin: 384.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.25833px 8px; transform-origin: 7.25833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.9583px 8px; transform-origin: 92.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.8583px 8px; transform-origin: 89.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 339.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 169.75px; text-align: left; transform-origin: 385px 169.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"445\" height=\"334\" style=\"vertical-align: baseline;width: 445px;height: 334px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 131.092px 8px; transform-origin: 131.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBeware to avoid self intersecting triangles.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_pentagon()\r\n T = 1;\r\nend","test_suite":"%%\r\nT_correct1 = [1 2 3;\r\n 1 3 4;\r\n 1 4 5];\r\n\r\nT_correct2 = [2 3 4;\r\n 2 4 5;\r\n 2 5 1];\r\n\r\nT_correct3 = [3 4 5;\r\n 3 5 1;\r\n 3 1 2];\r\n\r\nT_correct4 = [3 4 5;\r\n 3 5 1;\r\n 3 1 2];\r\n\r\nT_correct5 = [5 1 2;\r\n 5 2 3;\r\n 5 3 4];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct1,2)))...\r\n | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct2,2)))...\r\n | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct3,2)))...\r\n | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct4,2)))...\r\n | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct5,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_pentagon.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":6,"created_by":149128,"edited_by":149128,"edited_at":"2025-08-13T05:29:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":"2025-08-13T05:29:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T12:59:46.000Z","updated_at":"2026-02-10T17:07:57.000Z","published_at":"2025-07-23T15:54:36.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eV,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[V = [1 0 0;\\n cos(2*pi/5) sin(2*pi/5) 0;\\n cos(4*pi/5) sin(4*pi/5) 0;\\n cos(4*pi/5) sin(-4*pi/5) 0;\\n cos(2*pi/5) sin(-2*pi/5) 0];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"334\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"445\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBeware to avoid self intersecting triangles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh 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prime number couples","description":"Given a vector a, which will always contain at least one pair of prime numbers couple, return a matrix called 'couple' in which each row contains one pair of prime couples. A prime number couple pair are two prime numbers with a difference of two between them. Keep in mind that the numbers 2, 3, 5, and 7 are prime numbers.\r\n\r\nFor example, if a=[1 2 3 6 11 13 101 103], the output should be couple=[11 13; 101 103].","description_html":"\u003cp\u003eGiven a vector a, which will always contain at least one pair of prime numbers couple, return a matrix called 'couple' in which each row contains one pair of prime couples. A prime number couple pair are two prime numbers with a difference of two between them. Keep in mind that the numbers 2, 3, 5, and 7 are prime numbers.\u003c/p\u003e\u003cp\u003eFor example, if a=[1 2 3 6 11 13 101 103], the output should be couple=[11 13; 101 103].\u003c/p\u003e","function_template":"function couple = find_prime_couples(a)\r\n\r\nend","test_suite":"%%\r\na=[1 4 6 7 8 11 13 16 23 29 31];\r\ncouple=[11 13; 29 31];\r\nassert(isequal(find_prime_couples(a),couple))\r\n%%\r\na=[16\t97\t88\t49\t41\t13\t93\t1\t19\t33\t6\t15\t73\t49\t34\t24\t46\t19\t33\t27\t84\t70\t34\t59\t29\t27\t26\t68\t52\t8\t6\t26\t44\t29\t68\t95\t78\t64\t76\t75\t59\t78\t40\t61\t25\t30\t2\t35\t15\t42\t16\t83\t74\t10\t83\t23\t11\t67\t96\t82\t63\t33\t28\t44\t36\t88\t1\t70\t34\t31\t65\t93\t90\t100\t8\t13\t99\t10\t69\t93\t15\t89\t2\t35\t24\t99\t85\t80\t91\t79\t84\t33\t75\t67\t29\t34\t91\t4\t70\t21];\r\ncouple=[11 13; 29 31; 59 61];\r\nassert(isequal(find_prime_couples(a),couple))\r\n%%\r\na=[2 3\t5 7\t11\t13\t17\t19\t23\t29\t31\t37\t41\t43\t47\t53\t59\t61\t67\t71\t73\t79\t83\t89\t97\t101\t103\t107\t109\t113\t127\t131\t137\t139\t149\t151\t157\t163\t167\t173\t179\t181\t191\t193\t197\t199];\r\ncouple=[3\t5;\r\n5\t7;\r\n11\t13;\r\n17\t19;\r\n29\t31;\r\n41\t43;\r\n59\t61;\r\n71\t73;\r\n101\t103;\r\n107\t109;\r\n137\t139;\r\n149\t151;\r\n179\t181;\r\n191\t193;\r\n197\t199];\r\nassert(isequal(find_prime_couples(a),couple))","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":183778,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":26,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-06-06T14:10:53.000Z","updated_at":"2026-01-09T19:11:22.000Z","published_at":"2018-06-06T14:10:53.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a vector a, which will always contain at least one pair of prime numbers couple, return a matrix called 'couple' in which each row contains one pair of prime couples. A prime number couple pair are two prime numbers with a difference of two between them. Keep in mind that the numbers 2, 3, 5, and 7 are prime numbers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, if a=[1 2 3 6 11 13 101 103], the output should be couple=[11 13; 101 103].\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":60939,"title":"Frequencies of prime gaps","description":"Problem statement\r\n\r\nGiven two positive integers n and , write a function which computes the frequency of the gap between two consecutive of the primes in the prime vector going from 2 to n.\r\n\r\nExamples\r\n\r\nFor n = 100 and = 2, your function should return f = 1/3 since one third of the prime gaps between 2 and 97 equal ;\r\nFor n = 1000 and = 6, your function should return f = 44/167;\r\n\r\n\r\nSee also\r\nProblem 60940. Find the first occurence of a given gap between two consecutive prime numbers\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 414.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 207.367px; transform-origin: 408px 207.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 85.575px 8px; transform-origin: 85.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven two positive integers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003eΔ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 180.475px 8px; transform-origin: 180.475px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewrite a function which computes the frequency of the gap \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003eΔ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 81.7833px 8px; transform-origin: 81.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e between two consecutive of the primes in the prime vector going from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 12.4417px 8px; transform-origin: 12.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.4833px 8px; transform-origin: 25.4833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en = 100 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003eΔ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 9.925px 8px; transform-origin: 9.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e= 2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 86.7417px 8px; transform-origin: 86.7417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, your function should return\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.5833px 8px; transform-origin: 21.5833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e f = 1/3\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 133.808px 8px; transform-origin: 133.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e since one third of the prime gaps between \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 9.725px 8px; transform-origin: 9.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 97\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e equal \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003eΔ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 55.4333px 8px; transform-origin: 55.4333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor n = 1000 and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003eΔ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 9.925px 8px; transform-origin: 9.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e= 6\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 86.7417px 8px; transform-origin: 86.7417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, your function should return\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.8583px 8px; transform-origin: 11.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e f = \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 9.725px 8px; transform-origin: 9.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e44/\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e167;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60940-find-the-first-occurence-of-a-given-gap-between-two-consecutive-prime-numbers\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 60940. Find the first occurence of a given gap between two consecutive prime numbers\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function f = frequencies_of_prime_gaps(delta, n)\r\n f = delta*n;\r\nend","test_suite":"%%\r\ndelta = 2;\r\nn = 100;\r\nf_correct = 1/3;\r\nfrequencies_of_prime_gaps(delta,n)\r\nassert(isequal(frequencies_of_prime_gaps(delta,n),f_correct))\r\n\r\n%%\r\ndelta = 2;\r\nn = 200;\r\nf_correct = 15/45;\r\nfrequencies_of_prime_gaps(delta,n)\r\nassert(isequal(frequencies_of_prime_gaps(delta,n),f_correct))\r\n\r\n%%\r\ndelta = 6;\r\nn = 1000;\r\nf_correct = 44/167;\r\nfrequencies_of_prime_gaps(delta,n)\r\nassert(isequal(frequencies_of_prime_gaps(delta,n),f_correct))\r\n\r\n%%\r\ndelta = 4;\r\nn = 200;\r\nf_correct = 13/45;\r\nfrequencies_of_prime_gaps(delta,n)\r\nassert(isequal(frequencies_of_prime_gaps(delta,n),f_correct))\r\n\r\n%%\r\ndelta = 24;\r\nn = 10000;\r\nf_correct = 15/1228;\r\nfrequencies_of_prime_gaps(delta,n)\r\nassert(isequal(frequencies_of_prime_gaps(delta,n),f_correct))\r\n\r\n%%\r\ndelta = 1;\r\nn = 100;\r\nf_correct = 1/24;\r\nfrequencies_of_prime_gaps(delta,n)\r\nassert(isequal(frequencies_of_prime_gaps(delta,n),f_correct))\r\n\r\n%%\r\ndelta = 3;\r\nn = 100;\r\nf_correct = 0;\r\nfrequencies_of_prime_gaps(delta,n)\r\nassert(isequal(frequencies_of_prime_gaps(delta,n),f_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('frequencies_of_prime_gaps.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":3,"comments_count":2,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T06:48:50.000Z","deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":"2025-07-09T05:56:16.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-24T10:21:21.000Z","updated_at":"2026-03-16T13:25:01.000Z","published_at":"2025-06-24T11:07:25.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven two positive integers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ewrite a function which computes the frequency of the gap \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e between two consecutive of the primes in the prime vector going from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 100 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e= 2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, your function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 1/3\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e since one third of the prime gaps between \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 97\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e equal \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor n = 1000 and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e= 6\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, your function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e44/\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e167;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60940-find-the-first-occurence-of-a-given-gap-between-two-consecutive-prime-numbers\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 60940. Find the first occurence of a given gap between two consecutive prime numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45259,"title":"Build edges list","description":"Input T is a triangulation connectivity indices list (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\r\nThe purpose of this function is to query the list E of all the edges.\r\nFor instance if T = [1, 2, 3; 4, 5, 6; 7, 8, 9], then the output of the function must be E = [1, 2; 1, 3; 2, 3; 4, 5; 4, 6; 5, 6; 7, 8; 7, 9; 8, 9] (all the 3 possible combination of the 3 vertices of a triangle / row, for every triangle / row of the list).\r\nHypothesis on output E :\r\nsize(E) = [N, 2], with N the number of edges\r\nE doesn't need to be ordered neither following dimension 1 (rows) nor dimension 2 (columns), but must not contain duplicated edges\r\nEdges are symmetric : [e1, e2] is the same edge as [e2, e1]\r\nEvery indices are positive, distinct integers.\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 366.167px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 183.083px; transform-origin: 408px 183.083px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 367.967px 8px; transform-origin: 367.967px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInput T is a triangulation connectivity indices list (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 200.692px 8px; transform-origin: 200.692px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe purpose of this function is to query the list E of all the edges.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384.55px 8px; transform-origin: 384.55px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor instance if T = [1, 2, 3; 4, 5, 6; 7, 8, 9], then the output of the function must be E = [1, 2; 1, 3; 2, 3; 4, 5; 4, 6; 5, 6; 7, 8; 7, 9; 8, 9] (all the 3 possible combination of the 3 vertices of a triangle / row, for every triangle / row of the list).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.8083px 8px; transform-origin: 82.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHypothesis on output E :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.167px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 51.0833px; transform-origin: 392px 51.0833px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 135.933px 8px; transform-origin: 135.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esize(E) = [N, 2], with N the number of edges\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 318.758px 8px; transform-origin: 318.758px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eE doesn't need to be ordered neither following dimension 1 (rows) nor dimension 2 (columns), but must\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 39.65px 8px; transform-origin: 39.65px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003enot contain duplicated edges\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 194.858px 8px; transform-origin: 194.858px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdges are symmetric : [e1, e2] is the same edge as [e2, e1]\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 133.808px 8px; transform-origin: 133.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEvery indices are positive, distinct integers.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function E = query_edges_list(T)\r\n E = T;\r\nend","test_suite":"%% Description example\r\nT = [1, 2, 3;...\r\n 4, 5, 6;...\r\n 7, 8, 9];\r\n \r\nE = [1, 2;...\r\n 1, 3;...\r\n 2, 3;...\r\n 4, 5;...\r\n 4, 6;...\r\n 5, 6;...\r\n 7, 8;...\r\n 7, 9;...\r\n 8, 9];\r\n\r\nassert(isequal(sortrows(sort(query_edges_list(T),2)),E))\r\n\r\n%% Another test\r\nT = [2, 3, 5;...\r\n 7, 11, 13;...\r\n 17, 19, 23];\r\n \r\nE = [2, 3;...\r\n 2, 5;...\r\n 3, 5;...\r\n 7, 11;...\r\n 7, 13;...\r\n 11, 13;...\r\n 17, 19;...\r\n 17, 23;...\r\n 19, 23];\r\n\r\nassert(isequal(sortrows(sort(query_edges_list(T),2)),E))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('query_edges_list.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:49:28.000Z","deleted_by":null,"deleted_at":null,"solvers_count":40,"test_suite_updated_at":"2025-07-09T05:51:51.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-01-08T15:52:04.000Z","updated_at":"2025-12-07T21:53:51.000Z","published_at":"2020-01-08T17:13:08.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput T is a triangulation connectivity indices list (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe purpose of this function is to query the list E of all the edges.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor instance if T = [1, 2, 3; 4, 5, 6; 7, 8, 9], then the output of the function must be E = [1, 2; 1, 3; 2, 3; 4, 5; 4, 6; 5, 6; 7, 8; 7, 9; 8, 9] (all the 3 possible combination of the 3 vertices of a triangle / row, for every triangle / row of the list).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHypothesis on output E :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esize(E) = [N, 2], with N the number of edges\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eE doesn't need to be ordered neither following dimension 1 (rows) nor dimension 2 (columns), but must\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enot contain duplicated edges\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdges are symmetric : [e1, e2] is the same edge as [e2, e1]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEvery indices are positive, distinct integers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60985,"title":"Mesh the dodecahedron","description":"Problem statement\r\n\r\nAn dodecahedron is a regular polyhedron with 20 vertices and 12 pentagonal faces. It is also one of the five well known platonic solids. \r\nA pentagonal mesh is simply a N x 5 matrix of positive integers where each row contains the vertex indices of a pentagonal face, and where N is the number of faces / pentagons. \r\n\r\nYour task here is to mesh this octahedron. To do so, you will list the pentagons/rows in a matrix of faces, F.\r\nThe row order of the faces in the list doesn't matter.\r\n\r\nTip\r\nVertex indices are written on the figure below; use it to help you visualize;\r\nYou can start with the top [1 2 3 4 5] and bottom pentagons, they are the easiest ones to identify here.\r\n\r\n\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1057.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 528.55px; transform-origin: 408px 528.55px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 370.717px 8px; transform-origin: 370.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn dodecahedron is a regular polyhedron with 20 vertices and 12 pentagonal faces. It is also one of the five well known platonic solids. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.8583px 8px; transform-origin: 96.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA pentagonal mesh is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 280.45px 8px; transform-origin: 280.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 5 matrix of positive integers where each row contains the vertex indices of a pentagonal face, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.175px 8px; transform-origin: 113.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of faces / pentagons. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 323.733px 8px; transform-origin: 323.733px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this octahedron. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.31667px 8px; transform-origin: 5.31667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 158.842px 8px; transform-origin: 158.842px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the faces in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 226.783px 8px; transform-origin: 226.783px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eVertex indices are written on the figure below; use it to help you visualize;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 314.783px 8px; transform-origin: 314.783px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou can start with the top [1 2 3 4 5] and bottom pentagons, they are the easiest ones to identify here.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 340.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 170.25px; text-align: left; transform-origin: 385px 170.25px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"447\" height=\"335\" style=\"vertical-align: baseline;width: 447px;height: 335px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = mesh_the_dodecahedron()\r\n F = 1;\r\nend","test_suite":"%%\r\nF_correct = [1 2 3 4 5;\r\n 10 9 8 7 6; \r\n 11 12 13 2 1;\r\n 13 14 15 3 2;\r\n 15 16 17 4 3;\r\n 17 18 19 5 4;\r\n 19 20 11 1 5; \r\n 6 7 18 17 16;\r\n 7 8 20 19 18;\r\n 8 9 12 11 20;\r\n 9 10 14 13 12;\r\n 10 6 16 15 14];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_dodecahedron(),2)),sortrows(sort(F_correct,2))))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_dodecahedron.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:45:50.000Z","deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:09:36.000Z","updated_at":"2026-02-13T17:46:40.000Z","published_at":"2025-07-24T13:28:17.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn dodecahedron is a regular polyhedron with 20 vertices and 12 pentagonal faces. It is also one of the five well known platonic solids. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA pentagonal mesh is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 5 matrix of positive integers where each row contains the vertex indices of a pentagonal face, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of faces / pentagons. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this octahedron. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the faces in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eVertex indices are written on the figure below; use it to help you visualize;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou can start with the top [1 2 3 4 5] and bottom pentagons, they are the easiest ones to identify here.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"335\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"447\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId 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the icosahedron","description":"Problem statement\r\n\r\nAn icosahedron is a regular polyhedron with 12 vertices and 20 triangular faces. It is also one of the five well known platonic solids. \r\nA triangulation, or triangulated mesh, is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this icosahedron. To do so, you will list the triangles/rows in a matrix of triangles, T.\r\nThe row order of the triangles in the list doesn't matter.\r\n\r\nTip\r\nVertex indices are written on the figure below; use it to help you visualize;\r\nYou can start with the triangles of the top cap and bottom cap, they are the easiest ones to identify here.\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 996.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 498.05px; transform-origin: 408px 498.05px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384.717px 8px; transform-origin: 384.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn icosahedron is a regular polyhedron with 12 vertices and 20 triangular faces. It is also one of the five well known platonic solids. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 150.925px 8px; transform-origin: 150.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulation, or triangulated mesh, is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.017px 8px; transform-origin: 229.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 334.633px 8px; transform-origin: 334.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this icosahedron. To do so, you will list the triangles/rows in a matrix of triangles, T\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 226.783px 8px; transform-origin: 226.783px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eVertex indices are written on the figure below; use it to help you visualize;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 321.4px 8px; transform-origin: 321.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou can start with the triangles of the top cap and bottom cap, they are the easiest ones to identify here.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 339.5px; font-family: Helvetica, Arial, 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_icosahedron()\r\n T = 1;\r\nend","test_suite":"%%\r\nT_correct = [1 2 3;\r\n 1 3 4;\r\n 1 4 5;\r\n 1 5 6;\r\n 1 6 2; \r\n 8 7 9;\r\n 7 10 9;\r\n 7 11 10;\r\n 7 12 11;\r\n 7 8 12; \r\n 2 11 3;\r\n 3 11 12\r\n 3 12 4;\r\n 4 12 8;\r\n 4 8 5;\r\n 5 8 9;\r\n 5 9 6;\r\n 6 9 10;\r\n 2 6 10;\r\n 2 10 11];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_icosahedron(),2)),sortrows(sort(T_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_icosahedron.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:46:02.000Z","deleted_by":null,"deleted_at":null,"solvers_count":24,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:09:09.000Z","updated_at":"2026-02-13T17:44:47.000Z","published_at":"2025-07-24T14:11:48.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn icosahedron is a regular polyhedron with 12 vertices and 20 triangular faces. It is also one of the five well known platonic solids. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulation, or triangulated mesh, is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this icosahedron. To do so, you will list the triangles/rows in a matrix of triangles, T\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eVertex indices are written on the figure below; use it to help you visualize;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou can start with the triangles of the top cap and bottom cap, they are the easiest ones to identify here.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"334\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"446\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45230,"title":"Remove duplicated triangles","description":"Input T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\r\nIt sometimes happens a triangle may be duplicated several times. The goal of this problem is to remove all the duplicated triangles of T, and to keep only one.\r\nFor instance if :\r\nT_in = [1 2 3;...\r\n 4 5 6;...\r\n 1 2 3;...\r\n 7 8 9;...\r\n 6 4 5;...\r\n 10 11 12;...\r\n 2 1 3;...\r\n 8 7 9;...\r\n 10 11 12]\r\nthen the output must be :\r\nT_out = [1 2 3;...\r\n 4 5 6;...\r\n 7 8 9;...\r\n 10 11 12]\r\nsince rows [1 2 3], [6 4 5], [2 1 3], [8 7 9], and [10 11 12] are just duplicata. Indeed triangle [i2 i1 i3] is the same as triangle [i1 i2 i3] for example.\r\nHypothesis :\r\nT is always a N x 3 integer matrix with N \u003e 0 (non empty matrix)\r\nEach row / triangle of T always contains three distinct integers\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 673.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 336.75px; transform-origin: 408px 336.75px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 380.425px 8px; transform-origin: 380.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInput T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.533px 8px; transform-origin: 376.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt sometimes happens a triangle may be duplicated several times. The goal of this problem is to remove all the duplicated triangles of T, and to keep only one.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 47.8333px 8px; transform-origin: 47.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor instance if :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 183.9px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 91.95px; transform-origin: 405px 91.95px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 53.9px 8.5px; transform-origin: 53.9px 8.5px; \"\u003eT_in = [1 2 3;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 53.9px 8.5px; transform-origin: 53.9px 8.5px; \"\u003e 4 5 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 53.9px 8.5px; transform-origin: 53.9px 8.5px; \"\u003e 1 2 3;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 53.9px 8.5px; transform-origin: 53.9px 8.5px; \"\u003e 7 8 9;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 53.9px 8.5px; transform-origin: 53.9px 8.5px; \"\u003e 6 4 5;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 77px 8.5px; tab-size: 4; transform-origin: 77px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 65.45px 8.5px; transform-origin: 65.45px 8.5px; \"\u003e 10 11 12;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 53.9px 8.5px; transform-origin: 53.9px 8.5px; \"\u003e 2 1 3;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 53.9px 8.5px; transform-origin: 53.9px 8.5px; \"\u003e 8 7 9;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 10 11 12]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.3917px 8px; transform-origin: 77.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen the output must be :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 40.8667px; transform-origin: 405px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 69.3px 8.5px; tab-size: 4; transform-origin: 69.3px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 57.75px 8.5px; transform-origin: 57.75px 8.5px; \"\u003eT_out = [1 2 3;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 69.3px 8.5px; tab-size: 4; transform-origin: 69.3px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 57.75px 8.5px; transform-origin: 57.75px 8.5px; \"\u003e 4 5 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 69.3px 8.5px; tab-size: 4; transform-origin: 69.3px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 57.75px 8.5px; transform-origin: 57.75px 8.5px; \"\u003e 7 8 9;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 69.3px 8.5px; tab-size: 4; transform-origin: 69.3px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 10 11 12]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 385px 8px; transform-origin: 385px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince rows [1 2 3], [6 4 5], [2 1 3], [8 7 9], and [10 11 12] are just duplicata. Indeed triangle [i2 i1 i3] is the same as triangle [i1 i2 i3] for example.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.5083px 8px; transform-origin: 38.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHypothesis :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 209.408px 8px; transform-origin: 209.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eT is always a N x 3 integer matrix with N \u0026gt; 0 (non empty matrix)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 191.758px 8px; transform-origin: 191.758px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEach row / triangle of T always contains three distinct integers\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T_out = remove_duplicated_triangles(T_in)\r\n T_out = T_in;\r\nend","test_suite":"%% Intro example\r\nT_in = [1 2 3;...\r\n 4 5 6;...\r\n 1 2 3;...\r\n 7 8 9;...\r\n 6 4 5;...\r\n 10 11 12;...\r\n 2 1 3;...\r\n 8 7 9;...\r\n 10 11 12];\r\n \r\nT_out = [1 2 3;...\r\n 4 5 6;...\r\n 7 8 9;...\r\n 10 11 12];\r\n\r\nassert(isequal(remove_duplicated_triangles(T_in),T_out))\r\n\r\n%% Single triangle\r\nT_in = [3 5 7];\r\nT_out = T_in;\r\nassert(isequal(remove_duplicated_triangles(T_in),T_out))\r\n\r\n%% One duplicated triangle\r\nT_in = [2 11 13;...\r\n 2 13 11;...\r\n 11 2 13;...\r\n 11 13 2;...\r\n 13 2 11;...\r\n 13 11 2];\r\n\r\nT_out = [2 11 13];\r\nassert(isequal(remove_duplicated_triangles(T_in),T_out))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('remove_duplicated_triangles.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:50:13.000Z","deleted_by":null,"deleted_at":null,"solvers_count":50,"test_suite_updated_at":"2025-07-09T05:52:22.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-12-11T10:22:14.000Z","updated_at":"2025-11-16T17:58:55.000Z","published_at":"2019-12-11T10:37:52.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIt sometimes happens a triangle may be duplicated several times. The goal of this problem is to remove all the duplicated triangles of T, and to keep only one.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor instance if :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T_in = [1 2 3;...\\n 4 5 6;...\\n 1 2 3;...\\n 7 8 9;...\\n 6 4 5;...\\n 10 11 12;...\\n 2 1 3;...\\n 8 7 9;...\\n 10 11 12]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen the output must be :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T_out = [1 2 3;...\\n 4 5 6;...\\n 7 8 9;...\\n 10 11 12]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince rows [1 2 3], [6 4 5], [2 1 3], [8 7 9], and [10 11 12] are just duplicata. Indeed triangle [i2 i1 i3] is the same as triangle [i1 i2 i3] for example.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHypothesis :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT is always a N x 3 integer matrix with N \u0026gt; 0 (non empty matrix)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEach row / triangle of T always contains three distinct integers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60975,"title":"Check Legendre's conjecture","description":"Context and problem statement\r\nLegendre's conjecture states for a given positive integer n, there always exists at least one prime number p between n² and (n+1²) :\r\n\r\n\r\n\r\nFor a given input n, List the prime number(s) p in the interval ]n^2; (n+1)^2[.\r\n\r\nExamples\r\n\r\nn = 1 =\u003e p = [2, 3];\r\nn = 2 =\u003e p = [5, 7];\r\nn = 10 =\u003e p = [101, 103, 107, 109, 113];\r\nn = 20 =\u003e p = [401, 409, 419, 421, 431, 433, 439];\r\n\r\nForbidden functions / expressions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nProblem 60972. Check Bertrand-Chebyshev's theorem about prime numbers\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 697.467px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 348.733px; transform-origin: 408px 348.733px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 105px 8px; transform-origin: 105px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eContext and problem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 174.825px 8px; transform-origin: 174.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eLegendre's conjecture states for a given positive integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 144.308px 8px; transform-origin: 144.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethere always exists at least one prime number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.3417px 8px; transform-origin: 30.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e between \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.225px 8px; transform-origin: 6.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en²\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and (n+1²) :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"224\" height=\"19.5\" style=\"width: 224px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 54.0667px 8px; transform-origin: 54.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given input \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 81.675px 8px; transform-origin: 81.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, List the prime number(s) \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90px 8px; transform-origin: 90px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in the interval ]n^2; (n+1)^2[.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 1 =\u0026gt; p = [2, 3];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 2 =\u0026gt; p = [5, 7];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 124.742px 8px; transform-origin: 124.742px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 10 =\u0026gt; p = [101, 103, 107, 109, 113];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 156.375px 8px; transform-origin: 156.375px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 20 =\u0026gt; p = [401, 409, 419, 421, 431, 433, 439];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60972\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 60972. Check Bertrand-Chebyshev's theorem about prime numbers\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties I\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = check_legendre_conjecture(n)\r\n p = n;\r\nend","test_suite":"%%\r\nn = 1\r\np_correct = [2, 3];\r\nassert(isequal(check_legendre_conjecture(n),p_correct))\r\n\r\n%%\r\nn = 2\r\np_correct = [5, 7];\r\nassert(isequal(check_legendre_conjecture(n),p_correct))\r\n\r\n%%\r\nn = 10\r\np_correct = [101, 103, 107, 109, 113];\r\nassert(isequal(check_legendre_conjecture(n),p_correct))\r\n\r\n%%\r\nn = 20\r\np_correct = [401, 409, 419, 421, 431, 433, 439];\r\nassert(isequal(check_legendre_conjecture(n),p_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('check_legendre_conjecture.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:05:15.000Z","deleted_by":null,"deleted_at":null,"solvers_count":38,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-21T08:10:57.000Z","updated_at":"2026-02-12T07:21:34.000Z","published_at":"2025-07-21T08:28:05.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eContext and problem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eLegendre's conjecture states for a given positive integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethere always exists at least one prime number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e between \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en²\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and (n+1²) :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\forall n \\\\in \\\\mathbb{N}^*, \\\\exists p \\\\in \\\\mathbb{P}, \\\\mathbf{n^2 \u0026lt; p \u0026lt; (n+1)^2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given input \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, List the prime number(s) \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in the interval ]n^2; (n+1)^2[.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 1 =\u0026gt; p = [2, 3];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 2 =\u0026gt; p = [5, 7];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 10 =\u0026gt; p = [101, 103, 107, 109, 113];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 20 =\u0026gt; p = [401, 409, 419, 421, 431, 433, 439];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60972\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 60972. Check Bertrand-Chebyshev's theorem about prime numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60979,"title":"Mesh the cube","description":"Problem statement : mesh the cube with quadranglar / squared faces\r\n\r\nAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\r\nA quadrangular mesh F (stands for faces here) is simply a N x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where N is the number of faces. \r\n\r\nYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, F. You will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square [1, 2, 3, 4] and [4, 3, 2, 1] are distinct).\r\nOn the other hand [1, 2, 3, 4], [2, 3, 4, 1], [3, 4, 1, 2] and [4, 1, 2, 3] are one same unique square.\r\nThe row order of the faces in the list doesn't matter.\r\n\r\nEdit / update\r\nFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\r\n\r\nExample\r\nThe first square (Z \u003e 0) here can be [1, 2, 3, 4] if counterclockwise oriented (normals outward).\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1194.73px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 597.367px; transform-origin: 408px 597.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.433px 8px; transform-origin: 229.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement : mesh the cube with quadranglar / squared faces\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.933px 8px; transform-origin: 376.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 68.8583px 8px; transform-origin: 68.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA quadrangular mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.9417px 8px; transform-origin: 36.9417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16.725px 8px; transform-origin: 16.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003efaces\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 54.8417px 8px; transform-origin: 54.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here) is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 185.533px 8px; transform-origin: 185.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.6667px 8px; transform-origin: 74.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of faces. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 296.108px 8px; transform-origin: 296.108px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.25833px 8px; transform-origin: 7.25833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.6583px 8px; transform-origin: 80.6583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.4917px 8px; transform-origin: 17.4917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[4, 3, 2, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are distinct).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 66.0833px 8px; transform-origin: 66.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[2, 3, 4, 1], [3, 4, 1, 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[4, 1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.975px 8px; transform-origin: 92.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are one same unique square.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 158.842px 8px; transform-origin: 158.842px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the faces in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.9833px 8px; transform-origin: 41.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdit / update\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 342.275px 8px; transform-origin: 342.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.5583px 8px; transform-origin: 50.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first square \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 20.8083px 8px; transform-origin: 20.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(Z \u0026gt; 0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.1583px 8px; transform-origin: 29.1583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 148.208px 8px; transform-origin: 148.208px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented (normals outward).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 378px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 189px; text-align: left; transform-origin: 385px 189px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"504\" height=\"378\" style=\"vertical-align: middle;width: 504px;height: 378px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = mesh_the_cube()\r\n F = 1;\r\nend","test_suite":"%%\r\nF_correct = [1 2 3 4;\r\n 8 7 6 5;\r\n 1 4 8 5;\r\n 2 1 5 6;\r\n 3 2 6 7;\r\n 4 3 7 8];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_cube(),2)),sortrows(sort(F_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_cube.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:44:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":42,"test_suite_updated_at":"2025-07-23T16:15:41.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T10:23:00.000Z","updated_at":"2026-03-31T18:43:29.000Z","published_at":"2025-07-23T10:53:38.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement : mesh the cube with quadranglar / squared faces\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA quadrangular mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efaces\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here) is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of faces. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[4, 3, 2, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are distinct).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[2, 3, 4, 1], [3, 4, 1, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[4, 1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are one same unique square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the faces in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdit / update\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first square \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(Z \u0026gt; 0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented (normals outward).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"378\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle 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IDcmK6QgQMOOOCQQw7Zaaedtm7d+q//+q//8A//MPhBVaoKHCP0jmVYTgW3ygCFChzeSGEZmjiCjIW0EZDAAbkxXYHaAsc4yWNG1lLBrT5AcQKHN1JYhiaOIGPhcRsxCRyQG9MVaDBwjPDg0okspILb7gAFCRzeSGEZmjgijIW0EZnAAbkxXYH2Ase4nl/iYQkV3yxjFCFweC+FZWiCiDAQ0kZ8AgfkxnQFIgWOcf1JHtZPwc0+QO0GDm+kyIxOEK0PhMdt5ELggNyYrkDswDGiq73D4im4uQaoxcDhjRSZ0Qmi3YGQNvIicEBuTFcgq8AxrgPJw8opuHkHqK3A4Y0UlqGJo8WxkDZyJHBAbkxXIPPAMSK7B5daNgW3wAC1Eji8kcIyNHG0OBYet5EpgQNyY7oC3Qoc48Je4mHBFNzCA9R84PBeCsvQxNHWWEgbWRM4IDemK9D1wDEuQvKwWgpumQFqMnB4I0VmdOJoZSykjQ4QOCA3pivQv8AxovneYakU3JID1Fjg8EaKzOjE0fxYeNxGZwgckBvTFeh94BhXa/KwTgpu+QFqJnB4I0VmdOJoeCykjY4ROCA3pisgcGxPhQ8utUgKrpIBaiBweCNFZnTiaHIspI1OEjggN6YrIHDMb4FLPCyPgqtwgOoOHN5LkRmdIBoeCI/b6CqBA3JjugICRxXmSh5vfvPggCCqXbzWFzgssoMzQEE0ORDSRrcJHJAb0xUQOGqgd2Sk8pVrTYHDCjs4AxREYwPhnpQ+EDggN6YrIHA0QvKIqY5lax2Bw/I6MqMTRzNjIW30h8ABuTFdAYGjDfM+uFTyqENNa9bKA4e1dWRGJ44GxkLa6I+0NHr72+/5appDPkxXQOCIwSUeTap1tVpt4LCwjszoxFH3WEgbPVGuiBKBA3JjugICR1SSR03qXqpWFTgsqYMzQHE0XDekje4Z6RolgQNyY7oCAkcm9I5KNLBOrSRwWE8HZ4DiqHUspI1um9Y1SgIH5MZ0BQSObEke82pmkbp84LCYDs4AxVHfWLgnpdu2mzYSgQNyY7oCAkeHSB7TNLk8XTJwWEkHZ4DiqGkspI0Om7FrlAQOyI3pCggc3aV3JA2vTRcOHNbQ8RmjIKQN5jJv1ygJHJAb0xUQOPqkh8mj+YXpYoHDAjo4AxRHM3VD2uiAhbtGSeCA3JiugMDRY3P1jkJ2yaOVVekCgcPqOTgDFEcdYyFtdMzyXaMkcEBuTFdA4GBIly7xaGtJOm/gsHQOzgDFUflYSBtdUmHXKAkckBvTFRA4WFWOyaPdxehcgcO6OTgDFEe1Y+FxG51RR9coCRyQG9MVEDiYR/ze0fpKdMbAYcUcnAEKpcLhkDa6odauURI4IDemKyBwsJxQySPCMjTNo+L/J29968r3k1guB2eAQqlqOKSNDmima5QEDsiN6QoIHFSqxQeXBlmDFvMo/f9kWuCwVg7OAIVS1XB43EbuGk4bicABuTFdAYGDmjVziUecBegznjE4mBg4LJSDM0ChVDIc0ka+WokawwQOyI3pCggcNK7a5BFt6blK4LBKDs4AxSFt9FbrUWOYwAG5MV0BgYO2LdM7Aq47JwYO6+PgDFAoyw+Hx21kJ1TXKAkckBvTFRA4iGeu5HHOOYODIMYDh8VxcAYolCWHQ9rISMyoMUzggNyYroDAQXjzPri03eQxEjisjIMzQKEsMxzSRhbiR41hAgfkxnQFBA4yFPkSj+HAYVkcnAEKpcK6IW2EklfUGCZwQG5MV0DgoBPiJI8ycGzYMDggJpuWUBYeDmkjrHy7RknggNyYroDAQRe12DsEjvhsV6JZbESkjYA6EDWGCRyQG9MVEDjoh8aSh8ARnL1KNAuMiMdthNKxqDFM4IDcmK6AwEEv1ffgUoEjMhuVaOYdEWkjiA5HjWECB+TGdAUEDlhR1SUeAkdYdinRzDUi0kYEPekaJYEDcmO6AgIHTLFY8hA4ArI/iWbeEfG4jRb1LWoMEzggN6YrIHDAbObqHddeK3BEYXMSzVwjIm20os9RY5jAAbkxXQGBAxY1V/J4+csHBzTJziSa2UfEPSkNEzXGCRyQG9MVEDigIvM+uFTyqJttSTQzjoi00RhRY3UCB+TGdAUEDqhUOY82bLjfFVcMjmehd1TLniSaWUZE2miGrjEjgQNyY7oCAgdUajhwjJM8GmA3EtB2B0XaqJuosQCBA3JjugICB1Rq9cAxQu+onK1IQPPWDWmjKqLGkgQOyI3pCggcUKm5Asc4yWMZ9iEBrT4o0kblRI0KCRyQG9MVEDigCuU8esYzBgdV/TOxkseMbEICWmVQ3JNSLV2jDgIH5MZ0BQQOWML4pqLywDFC75jIDiSgaYMibVRF1KibwAG5MV0BgQPmtPqmou7AMa7nycPeIyBpoz6iRpMEDsiN6QoIHDCbGfcVzQeOEXP1jkLWycPGI6AZ64a0MTtRoy0CB+TGdAUEDphugX1F64FjXFcv8bDrCGjioEgbi9E1WidwQG5MV0DggDHL7CsCBo5xHUgethwBjQ+KtDEvUSMUgQNyY7oCAgesqGpfkUXgGJFX77DZiGlkXDxuY3aiRlgCB+TGdAUEDvqt8q1FjoFjXNjkYacR0/C4SBuzEDWyIHBAbkxXQOCgf2rdWnQjcIwI8uBS24yYynGRNlYnamRH4IDcmK6AwEE/NLa16GTgGNf8JR72GDFNqxvSRknXyJfAAbkxXQGBg05rfmvRk8AxrtbkYYMRUxoXaWOcqNENAgfkxnQFBA46p92tRW8Dx4iqeoetRVjF0Egbw0SN7hE4IDemKyBw0BVBdhcCxzQLJA/7ipjG00ahn3VD1Og2gQNyY7oCAgc5C7i7EDhmNO+DS3/v9wYHtOusswYHpR6mDV2jJwQOyI3pCggcZCjy7kLgWNhcyUPvaF7P04ao0UMCB+TGdAUEDjKRy+5C4KiQ5BHHSN3oSdoQNXpO4IDcmK6AwEFgOe4uBI766B2t6FvaEDUoCRyQG9MVEDiIJ+sNhsDRJMmjVr1KG7oG4wQOyI3pCggcxNCZ3YXA0SIPLq1KTx63IWqwOoEDcmO6AgIHrereBkPgCMUlHvPqfNoQNZidwAG5MV0BgYPGdXuDIXAEJ3lM0+G0IWqwGIEDcmO6AgIHTenJHkPgyIvekXTycRu6BksSOCA3pisgcFCnHm4wBI7c9S15dCxtiBpUSOCA3JiugMBB1Xq+wRA4OqbDDy7tzD0pogY1ETggN6YrIHBQEXuMRODovA5c4tGBtOGEQwMEDsiN6QoIHCzBHmOcwNFDGSWPrNOGEw4NEzggN6YrIHAwP9uMVQgcxOwd+aYNJxzaInBAbkxXQOBgNvYYMxI4GNd68sjuSaJOOEQgcEBuTFdA4GBVthnzEjiYRWPJI6O04WxDNAIH5MZ0BQQOxthmLEPgYAF19I4s7klxtiEygQNyY7oCAgcrbDOqInBQiWWSR/y04YRDFgQOyI3pCggc/WabUTmBgzrM1TuGxUkbzjZkR+CA3JiugMDRP7YZtRI4aMZ2k0eEtOFsQ9YEDsiN6QoIHL1hp9EMgYO2lMmj3bThVENnCByQmzWD/wLQScVOo/wDdNvjHz84aIVTDQBtEzgAushOA2hAeapxtgEgAIEDoCvsNIAGONUAEJXAAZAzOw2gAU41AORA4ADIkJ0G0ACnGgCyInAAZKLcadhsAPVxqgEgWwIHQGx2GkDdyvOMUw0AORM4AOKx2QDq5jwDQOcIHABh2GwAtSpPMs4zAHSRwAHQKvsNoG5OMgD0g8AB0Lhys2G/AdTEeQaA/hE4AJpiswE0w3kGgF4SOADqVEYN+w0AAKiTwAFQA1EDmMevHnvsbR//ePFnjwc9aPASADAngQOgImXU0DWAeRz44Ae/+aUvfcCuuxZ/Bi8BAPMTOACWI2oAS1izZs1FZ5yxy047Db4HABYlcADMr4waugawnFe/4AU/d+CBg28AgCUIHAAzEzWASh1+8MG//7znFQf/dvvt6RUAYGECB8CqyqihawCVWr/LLu9+9auLg49eccXffO5z6UUAYGECB8AYUQOo3x+/7GUP3nvvmzZuPPV1rxu8BAAsQeAAuJeoATTlhCc96Vee+tTi4MVnn33jrbemFwGAZQgcQL+VUUPXAJqy7x57nPfylxcHf/7Rj37gssvSiwDAkgQOoJdEDaA9f/kHf7D7Ax7wrzfc8BtvfvPgJQBgaQIH0Ce6BtC23z7ppCcdckhx8CtnnHH7j3+cXgQAlidwAD2gawAxHPTwh5/1a79WHJz9l395+Ze+lF4EACohcADdpWsAkazbcceLzjxzx7Vrv/Ltb//+eecNXgUAKiJwAJ2jawAhveHXf/1RD3vYnXfd9axXvWrL3XcPXgUAKiJwAF2hawCBHX3oof/jmc8sDs78sz/71nXXrdtxx+E/O6wZLMnKV9bc+woAMKP7D/4L9FkZBY4/fnCQEUWDaJ7xjMHBhg2DA7jf/d7+e7/3gl/+5cE3M3jay17211dcMfhmdun/yQtfuPINsJy3v/2er/e3Y4Js+D8OAHlyvQYAADBEjwSyuoJD0SA+V3AwyUn/+T8ffvDBg2/GPPlxj3vEAQcUB+/40IfuvOuu4uBPLr74n6++euWH83AFB1TIFRyQG9MVyCFw6BpkROBgfheeccazjj66ONjzqU+95d/+Lb24CIEDKiRwQG7cogIEts19KAAAwEwEDiAeXQMAAJiTwAGEoWsAAACLEjiAtukaAADA0gQOoCW6BsC9TnrVq+7/+McXf5Z6wigA9JvAATRL1wAAAGogcACN0DUAAIA6CRxAnXQNAACgEQIHUANdAwAAaJbAAVRH1wAAAFoicABL0zUAAIC2CRzAonQNAAAgDIEDmJOuAQAAxCNwALPRNQAAgMAEDmBVugYAAJADgQOYRNcAAACyInAAQ3QNAAAgTwIHAAAAkD2BAwAAAMiewAEAAABkT+AAAAAAsidwAAAAANkTOAAAAIDsCRwAAABA9gQOAAAAIHsCBwAAAJA9gQMAAADInsABAAAAZE/gAAAAALIncAAAAADZEzgAAADua9u2wQGQD4EDAABgxbZtgz9AhgQOAACg33QN6ASBAwAA6CVdA7pF4AAAAPpE14COEjgAAIAe0DWg6wQOAACgu3QN6A2BAwAA6BxdA/pH4AAAADpE14C+EjgAAID8uWQDek/gAAAAsqVrAPcSOAAAgNzoGsAYgQMAAMiErgFMJ3AAAACx6RrADAQOAAAgJF0DmIfAAQAARKJrAAsROAAAgAB0DWA5AgcAANAqXQOogsABAAC0wSUbQKUEDgAAoEG6BlAPgQMAAKifrgHUTOAAAABqo2sATRE4AACAqukaQOMEDgAAoCK6BtAegQMAAFiOrgEEIHAAAAAL0TWASAQOAABgHroGEJLAAQAAzEbXAAITOAAAgFW5ZAPIgcABAABMomsAWRE4AACAIboGkCeBAwAA0DWA7AkcAADQY7oG0BUCBwAA9I+uAXSOwAEAAL2hawDdJXAAAEDX6RpADwgcAADQUboG0CcCBwAAdEgZNXQNoGcEDgAAyJyoASBwAABAlkQNgPsSOAAAIBOiBsB0AgcAAMQmagDMQOAAAIB4yqihawDMRuAAAIAYRA2AJQgcAADQHlEDoCICBwAANE7UAKiawAEAAI0oo4auAVADgQMAAGojagA0ReAAAIBKiRoAbRA4AACgCqIGQKsEDgAAWFQZNXQNgLYJHAAAMA9RAyAkgQMAALZH1AAIT+AAAIBJRA2ArAgcAAAwRNQAyJPAAQBA75VRQ9cAyJbAAQBAL4kaAN0icAAA0BuiBkB3CRwAAHSdqAHQAwIHAABdVEYNXQOgHwQOAAC6QtQA6DGBAwCAnIkaAKwQOAAAyJCoAcB9CRwAAGSijBq6BgBjBA4AAAITNQCYjcABAEAwogYA8xM4AACIQdQAYAkCBwAA7Smjhq4BwHIEDgAAmiVqAFADgQMAgPqJGgDUTOAAAKAeogYADRI4AAColKgBQBsEDgAAllZGDV0DgJYIHAAALETUACASgQMAgJmJGgBEJXAAALA9ogYA4QkcAABMUkYNXQOAHAgcAADcS9QAIFsCBwBAv4kaAHSCwAEA0EuiBgDdInAAAPRGGTV0DQA6R+AAAOg0UQOAfhA4AAA6R9QAoH8EDgCAbhE1AOglgQMAAADInsABAAAAZE/gAAAAALIncAAAAADZEzgAAACA7AkcAAAAQPYEDgAAACB7AgcAAACQPYEDAAAAyJ7AAQAAAGRP4AAAAACyJ3AAAAAA2RM4AAAAgOwJHAAAAED2BA4AAAAgewIHAAAAkD2BAwAAAMiewAEAAABkT+AAAAAAsidwAAAAANkTOAAAAIDsCRwAAABA9gQOAAAAIHsCBwAAAJA9gQMAAADInsABAAAAZE/gAAAAALIncAAAAADZEzgAAACA7AkcAAAAQPYEDgAAACB7AgcAAACQPYEDAAAAyJ7AAQAAAGRP4AAAAACyJ3AAAAAA2RM4AAAAgOwJHAAAAED2BA4AAAAgewIHAAAAkD2BAwAAAMiewAEAAABkT+AAAAAAsidwAAAAANkTOAAAAIDsCRwAAAD3tW3b4ADIh8ABAACwYtu2wR8gQwIHAADQe7oG5E/gAAAA+solG9AhAgcAANAzugZ0kcABAAD0g64BnSZwAAAAnaZrQD8IHAAAQBfpGtAzAgcAANAhugb0lcABAADkT9eA3hM4AACAbOkawL0EDgAAIDe6BjBG4AAAAPKhawBTCBwAAEB4LtkAtkfgAAAAotI1gJkJHAAAQDC6BjA/gQMAAIhB1wCWIHAAAACt0jWAKggcAABAG3QNoFICBwAA0CBdA6iHwAEAANRP1wBqJnAAAAB10jWARggcAABADVyyATRL4AAAAKqjawAtETgAAICl6RpA2wQOAABgUboGEIbAAQAAzEnXAOIROAAAgNnoGkBgAgcAALAqXQPIgcABAABMomsAWRE4AACA+9I1gAwJHAAAwAqXbAA5EzgAAKDfdA2gEwQOAADoJV0D6BaBAwCqY58AxKdrAB0lcADAcsqtgt0CEJkzFdB1AgcALMRWAciCkxXQGwIHAMys3CfYKgDBOVkB/SNwAMCqyk2CfQIQn/MV0GMCBwBMYpMAZMQpC0DgAIB/V+4QbBKAXDhlAdxL4ACg90QNIDtOXABjBA4AeqncG9geABlx4gKYTuAAoE/sDYAcOXcBzEDgAKDryo2BvQGQF+cugHkIHAB0lI0BkCmnL4CFCBwAdEi5K7AxALLj9AWwHIEDgPzZFQD5cgYDqIjAAUC27AqAfDmDAVRN4AAgN3YFQNacwQDqIXAAkAldA8iakxhAzQQOAGKzJQCy5iQG0BSBA4CQbAmArDmJATRO4AAgElsCIGtOYgDtETgACMCWAMiakxhAAAIHAO2xJQCy5iQGEInAAUDjbAmArDmJAYQkcADQFFsCIGtOYgCxCRwA1MyWAMhXeQZzEgMIT+AAoB62BECmytOXMxhAVgQOACplVwDkqDx3OX0BZEvgAKAKNgZAjpy7ADpE4ABgCfYGQHbKE5dzF0C3CBwAzM/eAMhLedZy4gLoLoEDgJnZHgAZKU9ZzloA/SBwALA9dghALsrzlVMWQP8IHABMYZMA5ML5CgCBA4BR9glAFsqTlfMVACsEDgBW2CcA8ZVnKicrAMYIHAD9ZqsABFeeppypAFiVwAHQS3YL8azfddffPumkT27YcMcnP7n5sstu+/jHP3D22Sc86UmDH0PfOE0BMCeBA6BPbBiiOvIxj/mXiy5602/8xhMe+9hddtppx7VrH7Drrv/1yCPf85rXfOKtb12/666DvwfdVp6jnKYAmJ/AAdADNgyxHX7wwR8755z99tyzOP7oFVc8+/TTj3/FK/7g/PNv2rixeOVJhxxy0RlnrPxF6KLyBOUcBcByBA6ATrNnCG/XnXd+96tfvctOOxXHz3vNa57+spdd+Ld/e/GnPvXq888/+LnP/X/f/W7x+tMe//gnH3bYyl+HTiiLhhMUANUROAC6yM4hHy857rgH7713cXD2X/7lu/76r9OLyY233vpbf/RH6fj5T3taOoCMOTUBUCeBA6BDbB4y9KL/+l+Lr9//wQ/+4Pzz0yvDPvJ3f3fTxo2f+dKX7ti0afAS5KU8Lzk1AVAzgQMgfzYP2XrkQx7yiAMOKA4u+L//d9Odd6YXh23dunXvpz3tyF/7tVNf97rBSxBfeVJyXgKgQQIHQLbsH/L3cwcemA4+9cUvpgPIVXlGclICoCUCB0BubCE65LBHPSodXHXNNcXXh+yzz6tf8IKP/OEfXv+hD11yzjlv+c3ffORDHpL+AgTljARAGAIHQCbsIrpo75/8yXTwreuue+kzn/nN97znVaec8rTHP36/Pff8L4cd9j+e+cyvX3jhmS96Ufo7EEV5OnJGAiASgQMgNruITttt553TwW+eeOIf/eZv7rh27Tevvfaij3+8+FMcpB/9/vOet+F3ficdQ2vKc5HTEQBRCRwAIdlI9MOaNYMP4rNe8pIf33nnr5xxxoEnnnjSq15V/CkOim/v2rKl+OmvH3/80w8/PP1NaE55InIuAiAHAgdAJPYSfbXDmjUnn3nmX1xyyeD7FcW3v/mWt6TjVz7veekA6lWehZyIAMiNwAEQgO1E733ua19776WXDr4Z8icXX3zdTTcVBz//qEc9cLfd0otQPWchAPIncAC0x46i9zZt3pwOPn3llelg3Ge+/OV08Pif/dl0ANUoT0HOQgB0gsAB0Dg7Cu618bbb0sG/fOc76WDc7XfckQ52XrcuHcDiyvOPUxAAnSNwADTFpoIxV3z1q+ngofvskw7GlQ8iLS/3gPmUJx/nHwA6TeAAqJl9BdNd+Y1vpINDHvnIdDBu3z32SAflX4aZOPkA0DMCB0A9bC2YwT994xv/77vfLQ6e8vM///D9908vDtt3zz2ffNhhxcFXvv3tG2+9Nb0I2+HkA0AvCRwAldI1mNMfvec9xdcd1qw5/3/9r5132im9WDrvd3+3+FFx8LYPfjC9AgDARAIHQBV0DRZ17nve85kvfak4eMJjH3vFeecd+ZjHpNd/5mEPu+Scc37piCOK4y9cddWfXHxxeh0AgIkEDoAl6BpU4Zdf/vIrvvKV4uDnDjzwsj/5k02f/vTtn/jE1y644L+s3Jzy/7773V/63d/dunXryt8FAGAygQNgfroGldp4221H/tqv/f7b3vb9H/yg+HanHXfcbZddioM777rrnIsu+v9OOeWG739/5S8CADDV/Qf/Bfqs3Kgfd9zggIkUDWZxwgmDgw0bBgfzOOxRj9p/r712WLPmh3fc8fF/+Ictd989+AHM4oor7vl66qkr3wDLOf/8e77e344JsuEKDoDtcb0GDfr817528ac+9d5LL73kc59TNwAAZidwAEyhawAAQD4EDoD70jUAACBDAgfACl0DAAByJnAA/aZrAABAJwgcQC/pGgAA0C0CB9AnugYAAHSUwAH0gK4BAABdJ3AA3aVrAABAbwgcQOfoGgAA0D8CB9AVugYAAPSYwAFkTtcgrP/+3wcHAADU7/6D/wJ9VtaB444bHMSnaBDTCScMDqbZsGFwAHW44op7vp566so3wHLOP/+er/e3Y4JsmK5AVoFD1yCsaWnj1a8eHJx++j3HxddhegfVEjigQgIH5MZ0BXIIHLoGkY2kjQ9/eHBQ+qVfGhwUyt5RkjyokMABFRI4IDemKxA4cOgaBDd+1cZ43Rg33DsKw5d4jNM7mIvAARUSOCA3pisQL3DoGsS3WNqYZuIlHumWlnQwTPJgFQIHVEjggNyYrkCYwKFrkIVq08Y005LHRJIHJYEDKiRwQG5MV6DtwKFrkJHtPm6jJqv0juJbl3hQEjigQgIH5MZ0BVoKHLoGeWkrbUwjeTCRwAEVEjggN6Yr0Gzg0DXITjP3pCxp2oNLk/F7WySPrhI4oEICB+TGdAUaCRy6BjnKIm2MKBfiT3/64KCQesd45ijpHZ0hcECFBA7IjekK1Bk4dA0ylXXamGY8eRRO92+1dIvAARUSOCA3pitQQ+DQNchXjmmjsMD6e7h3FIaTxzi9IxcCB1RI4IDcmK5AdYFD1yB30Z4kOqOqFt8jl3iUpcMlHhkROKBCAgfkxnQFlg4cugYdkGnaKNS38p7rEo+C5BGBwAEVEjggN6YrsGjg0DXohkzvSUkaXnZPfIpHySUeEQgcUCGBA3JjugJzBg5dg86QNpY3cpVHYfjelhGSRwMEDqiQwAG5MV2B2QKHrkGXZJ02CmFX29Puaklc4tEAgQMqJHBAbkxXYNXAoWvQPfk+biPJa6k98a4Wl3jUR+CACgkckBvTFZgUOHQNOin3tFHIfZ098ZaWQkoe47e3SB7zEjigQgIH5MZ0BYZyxrHHDg6gY6SNsKbd1TLxKg+9Y7sEDqiQwAG5MV0BgYNOy/1xG0mvltcT72opSB6zEDigQgIH5MZ0BQQOOqobaaPQ87X1Kpd4uKVlnMABFRI4IDemKyBw0DmdSRsFC+tx0y7xSHqePAQOqJDAAbkxXQGBg27pwOM2SlbVs5jrKR6FbicPgQMqJHBAbkxXQOCgK6QNkmnJI+n2JR4CByyvXBe98533fHVChnyYroDAQf66lDYKFtOVm3hXy8SneBSyTh4CByysXA6VBA7IjekKCBzkrEuP20ispBsw8RKPVDqGj5O8eofAAfMa7xolgQNyY7oCAgd56l7aKFhGt2X15DFylUfk5CFwwIxW6RolgQNyY7oCAge56WTaKFhDx7H6UzwKYZOHwAGrm6VrlAQOyI3pCggcZKVjj9tIrJ7jG08eI41jWIu9Q+CAaeZKG4nAAbkxXQGBg0x0Mm0ULJ0zNfHBpaW2LvEQOGDEAl2jJHBAbkxXQOAgvK6mjYJ1c2dMu6vl9JV/qyUdlOrrHQIHJMt0jZLAAbkxXQGBg8C6+riNxKK520aSx7DxO1yqSh4CBz1XSdcoCRyQG9MVEDgISdqgeybe1ZJKR1XJQ+Cgn6rtGiWBA3JjugICB8F0O20UrJVJpt3VkizWOwQOeqWmrlESOCA3pisgcBBJhx+3kVgos4rxu1rSlR2pfcySPAQO+qDurlESOCA3pisgcBBD59NGwSqZuax+iUdhPHkIHHRYY12jJHBAbkxXQOCgbZ2/JyWxRGZ505JHWTqe/ex7vl555T1fq3pwKbSr+a5REjggN6YrIHDQHmkDljSSPFLgOOaYlW8WfZAHRNBi1ygJHJAb0xUQOGhDT9JGwcqYJr373fd8TVdwFEYu8UhP9CjpHcQUIW0kAgfkxnQFBA6a1Z+0UbAspmEpcJx55so3K7Z7V8swyYMWxekaJYEDcmO6AgIHDerDk0RL1sQ0bzxwjFild6Rjd7XQsIBdoyRwQG5MV0DgoBHSBjRgu4Fj3Fz/VoveQVUid42SwAG5MV0BgYOa9eqelIKlMC1aIHCMm5g8UuYojl3iwTKy6BolgQNyY7oCAge16VvaKFgH065KAseIkd5RGLnKwyUebFdeXaMkcEBuTFdA4KAGPUwbBYtgWldH4Bg3MXmc7ikejMm0a5QEDsiN6QoIHFStV4/bKFkBE0EzgWPE6re0lMclyaPzcu8aJYEDcmO6AgIH1ZE2oF2tBI5x0x5cOvEqD72jMzrTNUoCB+TGdAUEDqrQz7RRsPAllCCBY9y05JG4xCN33UsbicABuTFdAYGD5fTzcRuJVS/RhA0cI8af4jHs1ff9t1r0jrC62jVKAgfkxnQFBA4W1ee0UbDkJaBcAse41S/xKEgecXS+a5QEDsiN6QoIHMxP2oCY8g0cIyZe4pGu7Bh/ikdB8mhAf7pGSeCA3JiugMDBnHr7uI3ESpfIOhM4xk1LHiWXeNSkh12jJHBAbkxXQOBgZj1PGwXLXILrcOAYN/GulpQ50rUewySPefW5a5QEDsiN6QoIHMxA2ihY4xJfrwLHiNWf4qF3zEjXGCZwQG5MV0DgYFU9f9xGyQKXLPQ5cIwbv6slXdlRtg93tZR0jYkEDsiN6QoIHEwhbSSWtmRE4FjFxN4xrIdXeegaqxM4IDemKyBwMEbaKFnXkheBYy7THlw6UjqSjvUOaWMWAgfkxnQFBA7uy+M2Sha1ZEfgWNK05FHK/a4WXWMuAgfkxnQFBA7uJW0Ms6IlRwJHtabd1ZIyx8i1HpF7h66xGIEDcmO6AgIH0sZ9WcuSL4GjbiPJo7y4I2by0DWWJHBAbkxXQODoN4/bGGEhS9YEjuZNvMrj9Hv/rZbh3lFoJnnoGlUROCA3pisgcPSVtDHOKpbcCRytm3aJR6m+Szx0jcoJHJAb0xUQOPpH2pjIEpYOEDgCmvbg0olXeSyQPHSN+ggckBvTFRA4esbjNiayfqUbBI74JvaOQnmtx4x3tegaDRA4IDemKyBw9Ia0MZGVK10icORo4lM8Cql0pGs9Sm996+CABggckBvTFRA4esA9KdNYttIxAkc3jD/Io4wdieTRDIEDcmO6AgJHp0kbq7BmpXsEjk6a6ykeekeFBA7IjekKCBwdJW2szoKVThI4emL8Eo8RkkclBA7IjekKCBydI22szlKVDhM4+mnag0uTP/iD+/SOQrX/PG2HCRyQG9MVEDi6xZNEV2edSrcJHCRPf/q/f7gXVr/EQ++YRuCA3JiugMDRFdLGdlmk0nkCB9M87WmDgyQ9wiMdFFziMZHAAbkxXQGBI3/uSZmFFSp9IHAwo5HekQxf6OESj4LAAbkxXQGBI2fSxowsT+kJgYOFTbvEIx0Xepg8BA7IjekKCBx5kjZmZGFKrwgcVGX8Eo9p13cknUweAgfkxnQFBI4MedzGjKxK6RuBg/pMvKulNHzFR6EbvUPggNyYroDAkRVpY3aWpPSQwEGTxu9qGZF78hA4IDemKyBwZELamIv1KP0kcNCiiXe1jN/MkmTROwQOyI3pCggc4XncxlysROkzgYNQcr/EQ+CA3JiugMARmLQxL8tQek7gILLVL/FI+SNU8hA4IDemKyBwhCRtLMAaFAQO8jIxeRRS5hi5w6X53iFwQG5MV0DgiMfjNhZgAQoFgYPcTbyr5fTTBwfpuFR38hA4IDemKyBwRCJtLMbqExKBg46ZdldL2TsKZfKovHcIHJAb0xUQOGKQNhZj3QnDBA46b5UHeZSXe5SWTB4CB+TGdAUEjrZ53MbCLDphhMBB30x7isewhZOHwAG5MV0BgaM90sYyrDhhnMABq1ziMXJcWL13CByQG9MVEDjaIG0syXITJhI4YNz4g0uHb2kpTEseAgfkxnQFBI7GedzGMiw0YRUCB2zXtLtaTh/7t1oe+9h7vvrcgXyYroDA0SBpY0lWmbA6gQMWMDF5fPCDg2MfPZAP0xUQOBohbSzPEhO2S+CA5Z122uAg8ekD+Vgz+C8ANTnhBHWjAtaXEMq2bYM/0CWnnaZuQNYEDoDaTEwb6sYCrC8hgjJqlF3D3KQzJqYN73DIjcABUANpoyrWl9Cu8aiRmJt0hrQBHSJwAFRN2qiK9SW0YlrUKJmbdIO0AZ0jcABUZ+TCDWljGZaY0LDVo0bJ3KQbpA3oIoEDoAoT70lhYVaZ0Iwyamy3ayTmJh0wcuGGtAEdInAALGdi2lA3FmahCXWbN2ok5iYdMPGeFKBDBA6ARUkblbPQhJosFjVK5ia5m5g2vLGhcwQOgPlJG3Ww0ITKLRM1SuYmWZM2oE8EDoA5SRt1sNaEClXSNRJzk6xJG9AzAgfAzEYu3JA2qmK5CTGZm+Rr5MINaQP6wTwHVv5vfcmxxw4OGDFy1UZB2qiE5SZU693vvufrGWesfLMEc5N8jV+1UYPzzjtvzZrV/k/F73znOz/72c8OvgGa4tMLEDhWJW3Uxw4KKldJ4DA3ydRI2ijU82Y+8MAD/+Vf/mXwzRS/8iu/8hd/8ReDb4CmuEUFYIqRG1IK7kmpkB0UxGRukqORG1IKxTu5tjfzox/96MEREIzAATCJtFErOyiIydwkO82mjeSQQw5JB0ccccROU1xwwQXp7wBNEjgA7mvkwg1po1r1rzuBRZib5KjxtJEceOCBxde77rrrs5/97OYptm7dmv4y0CSBA+Be0kbdbJ8gJnOT7IxcuNFU2kie8IQnFF+vvPJKFQOiETgApjxug2rZQUFM5iZ5aTVtFHZfURz88z//c3oFiEPgAPptYtpQNypnBwUxmZtkZCRtFNp4Ax9++OHp4NJLL00He+2115FHHrlu3br0LdAigQPoK2mjMXZQEJO5SS4mpo2W3sDpARyFW2655ayzzrrxxhtvuummyy677M4777z66qtPO+20nXfeOf0FoHk+2ID73W/btsHBsccODjrPDSnNsH2Chr373fd8PeOMlW+mMzfJxUjXKLT97r3wwguf9axnFQf/9m//9qAHPSi9OOyb3/zmL/7iL1577bWD74EG+XgDehY4pI3G2EFB82YJHOYmuQhwQ8q4q6666j/+x/+Yji+77LILLrjgpptu2mmnnY466qhTTjmlOChe/853vvPYxz72lltuSX8NaIxPOKA3gUPaaJIdFLRiu4HD3OyS9PHdyTENmTYKa9eu3bRp0w477FAc/7f/9t8uuOCC9HryUz/1U5/4xCce/OAHF8fvfOc7Tz311PQ60BgfckAPAsdI2iioG7Wyg4K2rB44zM1uKD+1C90b06hpI1m3bt3RRx/9oAc9aOPGjZdccsng1SGPecxjrrzyyuLg7rvv3nvvvV3EAQ3zOQd0OnBIGw2zfYJ2rRI4TM/cDXeNpGNjGu9xG4v55Cc/+YQnPKE4OP744y+++OL0ItAM/4oK0FEn+EdSGmf7BGGZnvnatm3wZ0SXxvS0QP9IyvK+8IUvpIN99tknHQCNETiALpI2mmf7BGGZnjma1jWSzoxpt9JG8vWvfz0dPPShD00HQGMEDqBbRi7ckDaaYfsEYZmeeVm9axTy3///uzzTx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p = 4n +/- 1, the generic formula for odd prime numbers","description":"Problem statement\r\n\r\nFor all odd prime number p, there exists a positive integer n, such that p = 4n +/- 1 :\r\n\r\n\r\n\r\nCheck this formula for some given odd primes in a vector by computing n for each p.\r\n\r\nExamples\r\n\r\np = 17 =\u003e n = 4;\r\n\r\np = 19 =\u003e n = 5;\r\n\r\n p = [3, 5, 7, 11, 13, 17, 19] =\u003e n = [1, 1, 2, 3, 3, 4, 5];\r\n\r\np = [3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]\r\n =\u003e n = [1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 15, 17, 18, 18, 20, 21, 22, 24];\r\n\r\n\r\nForbidden functions / expressions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\n\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 919.467px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 459.733px; transform-origin: 408px 459.733px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.1333px 8px; transform-origin: 80.1333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor all odd prime number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.4583px 8px; transform-origin: 96.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, there exists a positive integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.3333px 8px; transform-origin: 30.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esuch that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.675px 8px; transform-origin: 39.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep = 4n +/- 1 :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"231\" height=\"18\" style=\"width: 231px; height: 18px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 222.1px 8px; transform-origin: 222.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCheck this formula for some given odd primes in a vector by computing \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.9417px 8px; transform-origin: 15.9417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eeach\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e p.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 50.575px 8px; transform-origin: 50.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = 17 =\u0026gt; n = 4;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 50.575px 8px; transform-origin: 50.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = 19 =\u0026gt; n = 5;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 164.367px 8px; transform-origin: 164.367px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [3, 5, 7, 11, 13, 17, 19] =\u0026gt; n = [1, 1, 2, 3, 3, 4, 5];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 280.842px 8px; transform-origin: 280.842px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 287.408px 8px; transform-origin: 287.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e =\u0026gt; n = [1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 15, 17, 18, 18, 20, 21, 22, 24];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties I\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = check_odd_primes_gen_formula(p)\r\n n = p;\r\nend","test_suite":"%%\r\np = 17;\r\nn_correct = 4;\r\nassert(isequal(check_odd_primes_gen_formula(p),n_correct))\r\n\r\n\r\n%%\r\np = 19;\r\nn_correct = 5;\r\nassert(isequal(check_odd_primes_gen_formula(p),n_correct))\r\n\r\n\r\n%%\r\np = [3, 5, 7, 11, 13, 17, 19];\r\nn_correct = [1, 1, 2, 3, 3, 4, 5];\r\nassert(isequal(check_odd_primes_gen_formula(p),n_correct))\r\n\r\n\r\n%%\r\np = [3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97];\r\nn_correct = [1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 15, 17, 18, 18, 20, 21, 22, 24];\r\nassert(isequal(check_odd_primes_gen_formula(p),n_correct))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('check_odd_primes_gen_formula.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-20T05:09:52.000Z","deleted_by":null,"deleted_at":null,"solvers_count":40,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-20T04:24:51.000Z","updated_at":"2026-02-12T07:13:21.000Z","published_at":"2025-07-20T05:09:52.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor all odd prime number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, there exists a positive integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003esuch that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 4n +/- 1 :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\forall p \\\\in \\\\mathbb{P}, p \u0026gt; 2 \\\\Rightarrow \\\\exists n \\\\in \\\\mathbb{N}, p = 4n \\\\pm 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCheck this formula for some given odd primes in a vector by computing \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003eeach\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 17 =\u0026gt; n = 4;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 19 =\u0026gt; n = 5;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [3, 5, 7, 11, 13, 17, 19] =\u0026gt; n = [1, 1, 2, 3, 3, 4, 5];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e =\u0026gt; n = [1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 15, 17, 18, 18, 20, 21, 22, 24];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003ePrime numbers properties I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60970,"title":"Check p = 6n +/- 1, the generic formula for odd prime numbers greater than 3","description":"Problem statement\r\n\r\nFor all odd prime number p greater than 3, there exists a positive integer n, such that p = 6n +/- 1 :\r\n\r\n\r\n\r\nCheck this formula for some given odd primes in a vector by computing n for each p.\r\n\r\nExamples\r\n\r\np = 17 =\u003e n = 3;\r\n\r\np = 19 =\u003e n = 3;\r\n\r\n p = [5, 7, 11, 13, 17, 19] =\u003e n = [1, 1, 2, 2, 3, 3];\r\n\r\np = [5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97];\r\n =\u003e n = [1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14, 15, 16];\r\n\r\n\r\nForbidden functions / expressions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\n\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 919.467px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 459.733px; transform-origin: 408px 459.733px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.1333px 8px; transform-origin: 80.1333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor all odd prime number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 37.7333px 8px; transform-origin: 37.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003egreater than\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 3\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.4583px 8px; transform-origin: 96.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, there exists a positive integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.3333px 8px; transform-origin: 30.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esuch that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.675px 8px; transform-origin: 39.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep = 6n +/- 1 :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAc4AAAAkCAYAAAAATtrgAAAN/UlEQVR4Xu2dW8h22xTHv31PTlcktLnYcs4xsi8kakeSHJO+2nIqyYUdknYSO4ckFw6x+1K2Q7GTUiSKiI3CJi4oJK6c4p7x861/jaa51ppjrTXX86z3HatG7+GZa605/3PM8R9zzDHnc8OVvBKBRCARSAQSgUSgGYEbmktmwUQgEUgEEoFEIBG4ksSZSpAIJAKJQCKQCAQQSOIMgJVFE4FEIBFIBBKBJM7UgUQgEUgEEoFEIIBAEmcArCyaCCQCiUAikAgkcaYOJAKJQCKQCJQIPNL+gTx3+OAO+/m3hOk6AiVx/tD+93STT5m8PgDSJ63s60x+ZPKMwH1HLfoBq/jbGiv/Fyt3r8ndJp9ovCeLXUfgeSa3mjzb5MEm/zb5gcm7TH58QUCijd8ItuWdVv79wXuOVvw/RYU/aH/f1tgI7Ng/TZ7fWD6LXUfggSbY/deY3M/keyafMfnmJQGIsfgek6/Oja+SON9gN3zcBGP/kABY/7Ky9zF5o8llIAeIk7a+ZMAIw4ez8eUKZpTBqcDogxMk8LsAtpe1qNfFPxoIDzOBPHW9wn754gUAJ4mz3okQp8YUztPLTCDCFiOexBkfGC+3Wz492PEv2U+cs8tip0SYTBq5Zh3TkjjxOP463NyqpAD+hYEYHm4/L8N0XsR53wErBvkY2DKM4IkBuMXksuAUH77X70CnPmLyMRM/swJLnBOctKhzt7Qu53SfIkKzA/ucKr2wLowpP8v8tf390Maxk8QZA10RQ5x7Jk6tM/vYW86vNHz39kGnHm8/bxqqODu+amucePF4d3gdGLC5K1p+7nlH+HwJcT7NGoYH90sTQiAt2B4Bix51xEgSLqqFY99h/3/f8FIw3SNkS0ThTpNTz3AvG3HSzY8axs1T7ee3TQjVz4VgkzjbR6VIkzsi4fD2N5xvSYiTi8mej/wsIk7NIHlgS/KQwrTnEjpjQRuP6QkmmnrPdV3UAC8lTow8hp+O0Wx1rm6n/hzS+PmA6R51QYGfbDK2hicFxzt+jskexCmjfWpv/FyIkzD6i00eZ+LD52P6QXh1juzKe7XG6SMLCt/PGbYkzraR6m39kj5qe8sxSq0mTpr552FAzJHh0jXRXlB67ynyjj2JUx0kTzpSz1OUlbE+lzCOBvtvDIxH7wiIyPPr9s5TRQtOTZxgQOJEC1n6rllilCFOol5l9EsRrqkxm8Q5PzCYbf3BhGUPxja5GC3rx/NP7lMCrrlq8l2THqHkTYhTBIS3R2LG2KWEjUgWLoOPqbEWnpX2/Hf735rZgwYUdSW799ow8Hqsua6ZcaqDomTdqo7gyaAQlvz+lOHmJQOD5xEaxYBxiUBPlZ5OP7NO/FqTvUOnchQh7WcNetzaL1uUOyVxynHQ+jLLDR9aOWanMFHeAGXQPyUeos/fN2G9cyxq05s4Nab8eGJcc/3kBHqxRLf8kscRdkNoJ8MSJ6wFn02Ik0FyT8vbBkM6FTKjQngzLzSRp0qo5VsmJH/4cOrS8Nvei9triBPjy1rCVqFaiI0UcvDV4jbK9UoTQosiPHXn0sznkkB5HjMCntfDOampH9i92+StJnuTJvXxyXNLdbVxWFWLjREnY+xGkyeZsESBQ/vYoV8Yy+81kWFf0v/0/c9MIE2M7JtN1ji5LRj4hDuWC6h/63pnD+JkzIOtcGRSAcYkl4Ap2OhqzQ9pwaFXGUUVeT72iMvbEPp5bFtGb32rtfkQxEnFSdDAEI+tJ8hjaQ2Z+TAqM9SbTW43wQD6WDsGKUIqDOrfDkjvtbi9hjgZ1Fxb73f1GDJw2fbCniR+f4CJDB/vXjPbPQWBQlisebKth2sNYUf24NYGcPm/ufW2lme0lqkRpzIDvVGXVy4n7S57watMZNxbchd8nRTNgSz22k7liZM2klTHpW1ysj81R6AHcfJu7zhBLOx1/JoJto2IGWH85i0NDmD1a6se1MpF7Ka3mTxLe83JZeB6tYkmOaV930Pfau07DHHOEaM8llbDocFHB//J5AUmfp+QiBrQIoZdgLYS+Brl1L1LiZNTOMCrx3qCwogaCFftFx9K8o5La59NYbUHgdbeoTqhR08sdKilb7cmTt65NtQVNZy1/vOhJsiE6y1unOkdmilFogRK1JnLeWjBv7VMucVLUTC/LFTORPXsXsTpCQf9I4Tsk9iWJttE+7+GYYQ4va6MrW/6pa9aeLSnvh2aOL2SlEQmJY4YLxHt2D1eeSIDVPftNdukUyPEqcGEcX2MCScO9Tgkwit6DT9PGJE16TlDtweBUgd07qUmPiy2p7NUwwHvW+HwNaHbqOGsEaf6V4bwmtXNzw41/qJhRJ/FvOf+49reaDnz0u/aTJR+6kWc3jmtjSFPJqfWzalx623BlD74cG6ZzNhL38bqfZgZJw2QR1cqiYx0q6ft10zHOsobj8iMszyaa87Q1z6PvG+MOKfeq6PiPmyFliTotLRJ24LGElf8YNlixlnWaYxAt04g8ett1CHady1YRsv4aEkPbFWfqeQgfUb/c91uonVgH2KMrnFuMUNfktAxdqgINumZJoo2yLZ4u9KLOGUPwbeWFe+Jc0mbo3q3tHyrLZiKUm2tbx67pe3ivqXjb5PkIFVcHlYZBoju3fQZXGMnEumZvCvi2Z4LceJc1I7cW5st3KJE3jEZm3n7Qd96KlTLu8sy/uguPiM0eNVkS4fBe/5LB8qSto3dI+LsvWVnjDg9MVLH0tH1eD3IPo+Eac+NODXL5CxabUcq1zt7Eads1NiEwdu5PSNgUV1uJc6x0HMPfbtQxEmHlCTpybSV4GS0x9ZXvOGPemoyWlFPOqpsvnwkVLvmPa33tpymo35cssbVUg8Un2QkJUcw8/msCV5rxFC3vMsP3FMSpw/V9nAQSizGiNMbuFr/RiNE/r169t5HHE4dYzm33vk5a8DWh7x7GzWmc945PYdIyNhYap1djc2ge+rbWJ0PFaqlERp0IrSx8O2UwdOscCxM69fnogpX1q/F8K4tc27E6cMmtf2FPWdoNcL8qAHcYx3X95t0Kjp73mIGVeoPY4PtP1s7CK3EObe+rbWqJbOgqVyHteNozmZMOUVyFtX/fiYKaW5NnF5vamFaj1PU+Y+ucddwiyQHtdbVE6ePYvTUtwtDnB48SO2eoWWtBsvfX0ta8SdYRBMXqIr3fqKku3TgnxtxikTGkn7miHUJDpAxeyp92voehEldNeNcMnvekjh7h2ZbiVPEWMPDz5SWjg9FdaKEsESvdM/UjFNl0GsS7hT56rnG6MeQQsS+fT5ZJnoU5N7ESb3Vp1NJTN62+oheb32r6c3hZpw0wgOFoYyEbbyhqq2vaAa75jQW1W+vTLYexImBY79ldC1wzjGRZ74m69Mr8ikJU/XQDHrJDGqNMfchYsbAi0x6HwTg61sL1c6tb6v/Rao8j037kWPLfMQikvG+BusW4pTT/St7kfZFTxlYnVK25HSfKefU98GeS0Zr8PV9OuZQeWdAzske+nZhiLP00iMGa8qz8XtFy32dEaXYOw18a+L0+EaTo3zmW+mY+G1Da/eOloQJwffIEqbOnChFqK32hdU6+s0by4iurCkrY0NyyC0mvUOzZV1rxDm3vq3xRzQHo85xdezvjDpofla0B3m2ECf4aOyXX0HGUaH+YPky+aQ1YsY7/MyrbLtCxEwoTrneHtVrX++xSEJtr/5e+la255AzznLjb2sownvo5WxQQBBe5Pe1X5rqPSjIp9d+STpUddfAZNa8ZtCUoZrIPku/FcITp7JbIZg1R6TxHL4bUyHZXoSpgeIHJv/D4PMt9Fx8awpt4bQWyu1JXCLsu+y9HHG41bUkm9Dr2lzERjMlbVMhYWvsm2em2qQzYm8aCqEHb9pg3I69s5U4/XgEl5+asGRQEmfp/EeiU9459cSJToAnJwid6hjINXrozx8ubY7WMcv/76VvZbt6E6fXj1n7Gzl6Swa6de8mDfeeGor6C5N/mDzC5PcmfOP4lqEuyBPP058b2aJY0bWf2jrZGuIst3C0riWVocN7rbEcm8Xxa+D8FRPt5WvBoVZGpN6bMPVuZaoyo1M/6ssGODsTIl3rZEWx0LeCQNhbkib1WEucc4l3MvpgSNbzmqQt+sYfK9eKY6s+++dFiJP7SuezfCfOPwfTywGMJNP47UY4onxDB6HL+5vcPejknk5cK+4t5XSEHufUcnA+7eMi4lOLKO2pb77+W30ZSIkJttyf0avP4Tn6+Q6T/+vbCHG2dEJZxmdfRfePLXkf96AIGDfWn7Q1Yu5ZUeKce96azzEAY4crl8/dY+0JxeJA/mhobw0G53YvevwdkzWkc25tWlMfyP5WE04mEhFNPW8Jca6p39y96DTOpQ/ljt3jo22zM5G5F+fnFwOB3sS5d9LO0XtF6w6tB2mfwjE5OsZZ/0QA55Tlh5ZozB7OafbIsshLDbc1kb/mfuhJnOmpNXfD/woqDHYtMLNJxySGcZZOBCBLljFaQ+7pnO6jM0uWLC4kcfokjz2y8Pbp3j5vgTQ/b3JnoxdMLXxaeIaQ+vRLPvViIcB6L2t3ka04/gzo2v7Ni4VQtqYJgZ4zTp/tWTtpo6mCWWgUAZ/pd5S9Y9mdicCRECi/45a/80oErvQgTiUOkHWmCy+PbM+Ip5fdU0eAEDg4ktzgLzLAINO9M06znxKBi4gACUQ3Fw3DhvFFDpc5Ue4i9nW4TT2IM1yJvCERSAQSgUQgETgKAkmcR+mprGcikAgkAonAWSCQxHkW3ZCVSAQSgUQgETgKAv8FXIhsYUfJqOoAAAAASUVORK5CYII=\" width=\"231\" height=\"18\" style=\"width: 231px; height: 18px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 222.1px 8px; transform-origin: 222.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCheck this formula for some given odd primes in a vector by computing \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.9417px 8px; transform-origin: 15.9417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eeach\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e p.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 50.575px 8px; transform-origin: 50.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = 17 =\u0026gt; n = 3;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 50.575px 8px; transform-origin: 50.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = 19 =\u0026gt; n = 3;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 148.817px 8px; transform-origin: 148.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [5, 7, 11, 13, 17, 19] =\u0026gt; n = [1, 1, 2, 2, 3, 3];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 275.4px 8px; transform-origin: 275.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 266.008px 8px; transform-origin: 266.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e =\u0026gt; n = [1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14, 15, 16];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties I\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = check_odd_primes_gen_formula3(p)\r\n n = p;\r\nend","test_suite":"%%\r\np = 17;\r\nn_correct = 3;\r\nassert(isequal(check_odd_primes_gen_formula3(p),n_correct))\r\n\r\n\r\n%%\r\np = 19;\r\nn_correct = 3;\r\nassert(isequal(check_odd_primes_gen_formula3(p),n_correct))\r\n\r\n\r\n%%\r\np = [5, 7, 11, 13, 17, 19];\r\nn_correct = [1, 1, 2, 2, 3, 3];\r\nassert(isequal(check_odd_primes_gen_formula3(p),n_correct))\r\n\r\n\r\n%%\r\np = [5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97];\r\nn_correct = [1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14, 15, 16];\r\nassert(isequal(check_odd_primes_gen_formula3(p),n_correct))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('check_odd_primes_gen_formula3.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-20T05:22:24.000Z","deleted_by":null,"deleted_at":null,"solvers_count":36,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-20T04:25:50.000Z","updated_at":"2026-02-12T07:15:38.000Z","published_at":"2025-07-20T05:22:25.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor all odd prime number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003egreater than\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 3\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, there exists a positive integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esuch that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 6n +/- 1 :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\forall p \\\\in \\\\mathbb{P}, p \u0026gt; 3 \\\\Rightarrow \\\\exists n \\\\in \\\\mathbb{N}, p = 6n \\\\pm 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCheck this formula for some given odd primes in a vector by computing \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eeach\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 17 =\u0026gt; n = 3;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 19 =\u0026gt; n = 3;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [5, 7, 11, 13, 17, 19] =\u0026gt; n = [1, 1, 2, 2, 3, 3];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e =\u0026gt; n = [1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14, 15, 16];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":463,"title":"Looking for Squares","description":"Need n squares that equal one square all together, none zero, none fractured. For example, calling squares(2) should output [16 9] or [25 144] etc, because 16=4*4, 9=3*3, and 16+9=5*5, similarly 25=5*5, 144=12*12, and 25+144=13*13.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373px 8px; transform-origin: 373px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNeed n squares that equal one square all together, none zero, none fractured. For example, calling squares(2) should output [16 9] or [25 144] etc, because 16=4*4, 9=3*3, and 16+9=5*5, similarly 25=5*5, 144=12*12, and 25+144=13*13.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function sq = squares(n)\r\n sq=[1 4 25 144];\r\nend","test_suite":"%%\r\nfor n=3:7;\r\n sq=squares(n);\r\n assert(length(sq)==n)\r\n for k=1:n\r\n assert(sq(k)\u003e0)\r\n assert(round(sqrt(sq(k)))==sqrt(sq(k)))\r\n end\r\n assert(round(sqrt(sum(sq)))==sqrt(sum(sq)))\r\nend\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":166,"edited_by":223089,"edited_at":"2023-02-21T05:30:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":29,"test_suite_updated_at":"2023-02-21T05:30:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-03-07T08:17:03.000Z","updated_at":"2025-05-16T15:38:29.000Z","published_at":"2012-03-07T08:25:05.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNeed n squares that equal one square all together, none zero, none fractured. For example, calling squares(2) should output [16 9] or [25 144] etc, because 16=4*4, 9=3*3, and 16+9=5*5, similarly 25=5*5, 144=12*12, and 25+144=13*13.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60978,"title":"Mesh the octahedron","description":"Problem statement\r\n\r\nAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\r\nA triangulated mesh -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, T. You will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles [1, 2, 3] and [3, 2, 1] are distinct).\r\nOn the other hand [1, 2, 3], [2, 3, 1] and [3, 1, 2] are one same unique triangle.\r\nThe row order of the triangles in the list doesn't matter.\r\n\r\nEdit / update\r\nTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\r\n\r\nExample\r\nThe first triangle (X \u003e 0, Y \u003e 0, and Z \u003e 0) here can be [1, 2, 5] if counterclockwise oriented (normals are outward oriented).\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1200.23px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 600.117px; transform-origin: 408px 600.117px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373.817px 8px; transform-origin: 373.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 157.542px 8px; transform-origin: 157.542px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.533px 8px; transform-origin: 206.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.242px 8px; transform-origin: 327.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.51667px 8px; transform-origin: 7.51667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 49.9333px 8px; transform-origin: 49.9333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 2, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are distinct).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[2, 3, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 1, 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.5333px 8px; transform-origin: 94.5333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are one same unique triangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.9833px 8px; transform-origin: 41.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdit / update\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 351.75px 8px; transform-origin: 351.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 52.1167px 8px; transform-origin: 52.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.2583px 8px; transform-origin: 75.2583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(X \u0026gt; 0, Y \u0026gt; 0, and Z \u0026gt; 0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 5]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 187.5px 8px; transform-origin: 187.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented (normals are outward oriented).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_octahedron()\r\n T = 1;\r\nend","test_suite":"%%\r\nT_correct = [1 2 5;\r\n 2 3 5;\r\n 3 4 5;\r\n 4 1 5;\r\n 2 1 6;\r\n 3 2 6;\r\n 4 3 6;\r\n 1 4 6];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_octahedron(),2)),sortrows(sort(T_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_octahedron.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:44:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":50,"test_suite_updated_at":"2025-07-23T16:11:50.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T08:24:47.000Z","updated_at":"2026-03-31T18:40:36.000Z","published_at":"2025-07-23T09:23:40.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 2, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are distinct).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[2, 3, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 1, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are one same unique triangle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdit / update\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(X \u0026gt; 0, Y \u0026gt; 0, and Z \u0026gt; 0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented (normals are outward oriented).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"378\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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neighbor triangle indices","description":"First input T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\r\nGiven a second input t (a certain triangle row index), one would like to query the list L of all its triangle neighbor indices. A triangle is neighbor to another triangle if they share exactly one edge.\r\nFor instance if\r\nT = [1 2 4;...\r\n 2 3 4;...\r\n 5 6 8;...\r\n 6 7 8;...\r\n 1 2 5;...\r\n 2 5 6;...\r\n 2 3 6;...\r\n 3 6 7;...\r\n 3 4 7;...\r\n 4 7 8;...\r\n 4 1 8;...\r\n 1 8 5]\r\nand t = 3, then the function should return\r\nL = [4, 6, 12]'\r\nsince rows / (triangles of T) 4, 6, and 12 contain an edge in common with triangle / row 3.edge [6 8] for the first, edge [5 6] for the second, and edge [8 5] for the third.\r\nHypothesis :\r\n- Since a triangle is not considered neighbor of itself, t should not be part of L.\r\n- Order doesn't matter, but T must be a column vector containing all the neighbor triangle -row- indices (except itself then) once only. No duplicata is admitted.\r\n- Edges are symmetric : [e1, e2] is the same edge as [e2, e1]\r\n- Every indices are positive, distinct integers.\r\n\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 782.633px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 391.317px; transform-origin: 408px 391.317px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 349.292px 8px; transform-origin: 349.292px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFirst input T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 368.767px 8px; transform-origin: 368.767px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a second input t (a certain triangle row index), one would like to query the list L of all its triangle neighbor indices.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7px 8px; transform-origin: 7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eA triangle is neighbor to another triangle if they share exactly one edge.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 43.95px 8px; transform-origin: 43.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor instance if\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 245.2px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 122.6px; transform-origin: 405px 122.6px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003eT = [1 2 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 2 3 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 5 6 8;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 6 7 8;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 1 2 5;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 2 5 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 2 3 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 3 6 7;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 3 4 7;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 4 7 8;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 4 1 8;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 8.5px; tab-size: 4; transform-origin: 42.35px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 1 8 5]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 125.833px 8px; transform-origin: 125.833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand t = 3, then the function should return\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 57.75px 8.5px; tab-size: 4; transform-origin: 57.75px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eL = [4, 6, 12]'\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378.042px 8px; transform-origin: 378.042px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince rows / (triangles of T) 4, 6, and 12 contain an edge in common with triangle / row 3.edge [6 8] for the first, edge [5 6] for the second, and edge [8 5] for the third.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.5083px 8px; transform-origin: 38.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHypothesis :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 162.6px 8px; transform-origin: 162.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e- Since a triangle is not considered neighbor of itself,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.0167px 8px; transform-origin: 82.0167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003et should not be part of L.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 81.4417px 8px; transform-origin: 81.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e- Order doesn't matter, but\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 180.008px 8px; transform-origin: 180.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eT must be a column vector containing all the neighbor\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 109.692px 8px; transform-origin: 109.692px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e triangle -row- indices (except itself then) once only.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.8167px 8px; transform-origin: 82.8167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNo duplicata is admitted.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2.33333px 8px; transform-origin: 2.33333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 194.858px 8px; transform-origin: 194.858px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdges are symmetric : [e1, e2] is the same edge as [e2, e1]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 138.083px 8px; transform-origin: 138.083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e- Every indices are positive, distinct integers.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function L = find_neighbor_triangles_indices(T,t);\r\n L = t;\r\nend","test_suite":"%% Tetrahedron, all triangles have all the other 3 neighbor triangles \r\nT = [1, 2, 3;...\r\n 1, 3, 4;...\r\n 1, 2, 4;...\r\n 2, 3, 4];\r\n \r\nt = 2;\r\n\r\nL = [1, 3, 4]';\r\nassert(isequal(sort(find_neighbor_triangles_indices(T,t)),L))\r\n\r\n%% Triangulated cube (same as problem description)\r\nT = [1, 2, 4;...\r\n 2, 3, 4;...\r\n 5, 6, 8;...\r\n 6, 7, 8;...\r\n 1, 2, 5;...\r\n 2, 5, 6;...\r\n 2, 3, 6;...\r\n 3, 6, 7;...\r\n 3, 4, 7;...\r\n 4, 7, 8;...\r\n 1, 4, 8;...\r\n 1, 5, 8];\r\n \r\nt = 3;\r\n\r\nL = [4, 6, 12]';\r\nassert(isequal(sort(find_neighbor_triangles_indices(T,t)),L))\r\n\r\n%% Filled octahedron (two pyramids stuck together via their square bases)\r\nT = [1, 2, 3;...\r\n 1, 3, 4;...\r\n 1, 4, 5;...\r\n 1, 2, 5;...\r\n 2, 3, 6;...\r\n 3, 4, 6;...\r\n 4, 5, 6;...\r\n 2, 5, 6;...\r\n 2, 3, 4;...\r\n 2, 4, 5;...\r\n 1, 2, 4;...\r\n 2, 4, 6];\r\n\r\nt = 6;\r\n\r\nL = [2, 5, 7, 9, 12]';\r\nassert(isequal(sort(find_neighbor_triangles_indices(T,t)),L))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('find_neighbor_triangles_indices.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:49:54.000Z","deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":"2025-07-09T05:52:10.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-01-07T12:33:20.000Z","updated_at":"2025-11-16T17:50:56.000Z","published_at":"2020-01-07T13:06:47.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFirst input T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a second input t (a certain triangle row index), one would like to query the list L of all its triangle neighbor indices.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA triangle is neighbor to another triangle if they share exactly one edge.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor instance if\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1 2 4;...\\n 2 3 4;...\\n 5 6 8;...\\n 6 7 8;...\\n 1 2 5;...\\n 2 5 6;...\\n 2 3 6;...\\n 3 6 7;...\\n 3 4 7;...\\n 4 7 8;...\\n 4 1 8;...\\n 1 8 5]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand t = 3, then the function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[L = [4, 6, 12]']]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince rows / (triangles of T) 4, 6, and 12 contain an edge in common with triangle / row 3.edge [6 8] for the first, edge [5 6] for the second, and edge [8 5] for the third.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHypothesis :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e- Since a triangle is not considered neighbor of itself,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003et should not be part of L.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e- Order doesn't matter, but\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT must be a column vector containing all the neighbor\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e triangle -row- indices (except itself then) once only.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNo duplicata is admitted.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e-\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdges are symmetric : [e1, e2] is the same edge as [e2, e1]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e- Every indices are positive, distinct integers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60972,"title":"Check Bertrand-Chebyshev's theorem about prime numbers","description":"Historical context\r\nBertrand's postulate, also later known as Chebyshev's theorem, is a very important theorem in number theory stating that for every integer greater than 1, there always exists at least on prime number between it and its double : \r\n\r\n\r\n\r\nProblem statement\r\nFor a given input n, List the prime number(s) p in the interval ]n; 2n[.\r\n\r\nExamples\r\n\r\nn = 2 =\u003e p = 3;\r\nn = 3 =\u003e p = 5;\r\nn = 7 =\u003e p = [11, 13];\r\nn = 47 =\u003e p = [53, 59, 61, 67, 71, 73, 79, 83, 89];\r\n\r\nForbidden functions / expressions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 697.467px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 348.733px; transform-origin: 408px 348.733px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 385px 8px; transform-origin: 385px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBertrand's postulate, also later known as Chebyshev's theorem, is a very important theorem in number theory stating that for every integer greater than \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 223.658px 8px; transform-origin: 223.658px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethere always exists at least on prime number between it and its double : \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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4ZzqN0yWHGoepV+Us28EyJid++zV7veNaqJdEN+l6q5dK6srhjjXxaf1QoK5xrH6vdEEQr3dZOQRgF2DGsoFAoHAeASC+MZjGiUGAoFAIBAI7BiBIL4dd06oFggEAoFAIDAegSC+8ZhGiYFAIBAIBAI7RuA/zuJmZAlv4pMAAAAASUVORK5CYII=\" width=\"223\" height=\"19.5\" style=\"width: 223px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 54.0667px 8px; transform-origin: 54.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given input \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 81.675px 8px; transform-origin: 81.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, List the prime number(s) \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 66.8917px 8px; transform-origin: 66.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in the interval ]n; 2n[.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 46.6833px 8px; transform-origin: 46.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 2 =\u0026gt; p = 3;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 46.6833px 8px; transform-origin: 46.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 3 =\u0026gt; p = 5;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 68.3333px 8px; transform-origin: 68.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 7 =\u0026gt; p = [11, 13];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 152.467px 8px; transform-origin: 152.467px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 47 =\u0026gt; p = [53, 59, 61, 67, 71, 73, 79, 83, 89];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties I\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = check_Bertrand_Chebyshev_theorem(n)\r\n p = n;\r\nend","test_suite":"%%\r\nn = 2;\r\np_correct = 3;\r\nassert(isequal(check_Bertrand_Chebyshev_theorem(n),p_correct))\r\n\r\n%%\r\nn = 3;\r\np_correct = 5;\r\nassert(isequal(check_Bertrand_Chebyshev_theorem(n),p_correct))\r\n\r\n%%\r\nn = 7;\r\np_correct = [11, 13];\r\nassert(isequal(check_Bertrand_Chebyshev_theorem(n),p_correct))\r\n\r\n%%\r\nn = 11;\r\np_correct = [13, 17, 19];\r\nassert(isequal(check_Bertrand_Chebyshev_theorem(n),p_correct))\r\n\r\n%%\r\nn = 47;\r\np_correct = [53, 59, 61, 67, 71, 73, 79, 83, 89];\r\nassert(isequal(check_Bertrand_Chebyshev_theorem(n),p_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('check_Bertrand_Chebyshev_theorem.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:03:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":36,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-20T04:28:51.000Z","updated_at":"2026-02-12T07:17:44.000Z","published_at":"2025-07-21T04:30:08.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBertrand's postulate, also later known as Chebyshev's theorem, is a very important theorem in number theory stating that for every integer greater than \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethere always exists at least on prime number between it and its double : \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\forall n \\\\in \\\\mathbb{N}^* - \\\\{ 1 \\\\}, \\\\exists p \\\\in \\\\mathbb{P}, \\\\mathbf{n \u0026lt; p \u0026lt; 2n}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given input \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, List the prime number(s) \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in the interval ]n; 2n[.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 2 =\u0026gt; p = 3;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 3 =\u0026gt; p = 5;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 7 =\u0026gt; p = [11, 13];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 47 =\u0026gt; p = [53, 59, 61, 67, 71, 73, 79, 83, 89];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60986,"title":"Mesh the convex hull of a random 3D point cloud","description":"Problem statement\r\n\r\nThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\r\nA triangulation, or triangulated mesh, is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\nUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 795.233px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 397.617px; transform-origin: 408px 397.617px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.717px 8px; transform-origin: 256.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 150.925px 8px; transform-origin: 150.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulation, or triangulated mesh, is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.017px 8px; transform-origin: 229.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.125px 8px; transform-origin: 327.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_convex_hull(V)\r\n T = V;\r\nend","test_suite":"%% Point set #1\r\nV = [0.7253 -0.3789 0.5520\r\n 0.4471 -0.3044 0.8245\r\n 0.8241 0.6916 0.2092\r\n -0.7553 -0.5126 0.2692\r\n -0.2179 -0.8765 -0.3024\r\n -0.0984 0.3260 0.8808\r\n -0.9354 -0.0462 0.2274\r\n 0.2122 -0.6391 0.6226\r\n -0.0248 -0.1993 -0.8833\r\n 0.0772 0.9644 -0.2436\r\n -0.1098 -0.0333 -0.9851\r\n -0.6662 0.0466 0.7499\r\n -0.6866 0.5290 -0.5468\r\n 0.0357 0.0086 -0.9728\r\n 0.0829 -0.2777 -1.0373\r\n -0.3445 0.5795 0.6257];\r\n\r\nT_correct = [1 2 8;\r\n 1 3 2;\r\n 1 5 15;\r\n 1 8 5;\r\n 1 15 3;\r\n 2 3 6;\r\n 2 6 12;\r\n 2 12 8;\r\n 3 10 16;\r\n 3 14 10;\r\n 3 15 14;\r\n 3 16 6;\r\n 4 5 8;\r\n 4 7 13;\r\n 4 8 12;\r\n 4 12 7;\r\n 4 13 5;\r\n 5 11 15;\r\n 5 13 11;\r\n 6 16 12;\r\n 7 12 16;\r\n 7 16 13;\r\n 10 13 16;\r\n 10 14 13;\r\n 11 13 14;\r\n 11 14 15];\r\n\r\nassert(isequal(mesh_the_convex_hull(V),T_correct))\r\n\r\n\r\n%% Point set #2\r\nV = [-0.0775 -0.4239 0.9421;\r\n -0.8154 0.0299 -0.4279;\r\n 0.6777 -0.4686 -0.6602;\r\n -0.2960 -0.8871 0.5367;\r\n -0.0034 -0.0899 0.9352;\r\n 0.8245 -0.5624 0.0630;\r\n 0.6048 -0.7364 -0.3692;\r\n 0.4215 0.9403 -0.2533;\r\n 0.3255 0.0593 -0.8884;\r\n 0.4979 -0.0671 0.8623;\r\n -1.0254 0.1883 -0.0015;\r\n 0.7398 0.2020 -0.4934;\r\n 0.7488 0.5209 -0.0621;\r\n -0.0994 -0.5682 -0.8936;\r\n -0.8099 -0.0951 -0.4470;\r\n 0.3038 -0.9284 -0.4938];\r\n\r\nT_correct = [1 4 6;\r\n 1 5 11;\r\n 1 6 10;\r\n 1 10 5;\r\n 1 11 4;\r\n 2 8 9;\r\n 2 9 14;\r\n 2 11 8;\r\n 2 14 15;\r\n 2 15 11;\r\n 3 6 7;\r\n 3 7 16;\r\n 3 9 12;\r\n 3 12 6;\r\n 3 14 9;\r\n 3 16 14;\r\n 4 11 15;\r\n 4 14 16;\r\n 4 15 14;\r\n 4 16 6;\r\n 5 8 11;\r\n 5 10 8;\r\n 6 12 13;\r\n 6 13 10;\r\n 6 16 7;\r\n 8 10 13;\r\n 8 12 9;\r\n 8 13 12];\r\n\r\nassert(isequal(mesh_the_convex_hull(V),T_correct))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_convex_hull.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:46:23.000Z","deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:10:16.000Z","updated_at":"2026-02-13T17:40:03.000Z","published_at":"2025-07-24T18:00:49.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulation, or triangulated mesh, is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"336\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"448\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc 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the near-square primes, p = n² + 1 (Landau's 4th problem)","description":"Historical context\r\n\r\nAt the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime numbers. These problems were characterised in his speech as \"unattackable at the present state of mathematics\" and are now known as Landau's problems (source : Wiki)\r\n\r\nProblem statement\r\n\r\nThe 4th Landau's problem aalso known as the 'near square primes' asked whether there are infinitely many primes which are of the form . Your task here is to list such primes below a given input integer m.\r\n\r\nExamples\r\n\r\nm = 20 =\u003e p = [2, 5, 17] ;\r\nm = 200 =\u003e p = [2, 5, 17, 37, 101, 197] ;\r\nm = 2000 =\u003e p = [2, 5, 17, 37, 101, 197, 257, 401, 577, 677, 1297, 1601] ;\r\n\r\nFobidden functions\r\nregexp\r\nstr2num\r\nassignin\r\necho\r\n\r\nSee also\r\n\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 719.033px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 359.517px; transform-origin: 408px 359.517px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.375px 8px; transform-origin: 375.375px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAt the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime numbers. These problems were characterised in his speech as \"unattackable at the present state of mathematics\" and are now known as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 65.825px 8px; transform-origin: 65.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eLandau's problems \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.725px 8px; transform-origin: 44.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(source : Wiki)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.275px 8px; transform-origin: 376.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe 4th Landau's problem aalso known as the 'near square primes' asked whether there are infinitely many primes which are of the form \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"110.5\" height=\"19\" style=\"width: 110.5px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 211.775px 8px; transform-origin: 211.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eYour task here is to list such primes below a given input integer\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 78.575px 8px; transform-origin: 78.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 20 =\u0026gt; p = [2, 5, 17] ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 125.25px 8px; transform-origin: 125.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 200 =\u0026gt; p = [2, 5, 17, 37, 101, 197] ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 230.275px 8px; transform-origin: 230.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 2000 =\u0026gt; p = [2, 5, 17, 37, 101, 197, 257, 401, 577, 677, 1297, 1601] ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.9167px 8px; transform-origin: 64.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFobidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e I\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = list_the_near_square_primes(m)\r\n p = m;\r\nend","test_suite":"%%\r\nm = 20;\r\np_correct = [2,5,17];\r\nassert(isequal(list_the_near_square_primes(m),p_correct))\r\n\r\n\r\n%%\r\nm = 200;\r\np_correct = [2,5,17,37,101,197];\r\nassert(isequal(list_the_near_square_primes(m),p_correct))\r\n\r\n\r\n%%\r\nm = 2000;\r\np_correct = [2, 5, 17, 37, 101, 197, 257, 401, 577, 677, 1297, 1601];\r\nassert(isequal(list_the_near_square_primes(m),p_correct))\r\n\r\n\r\n%% Test forbidden functions\r\nfiletext = fileread('list_the_near_square_primes.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":2,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:04:20.000Z","deleted_by":null,"deleted_at":null,"solvers_count":55,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-17T04:36:44.000Z","updated_at":"2026-02-13T13:18:04.000Z","published_at":"2025-07-17T05:04:11.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAt the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime numbers. These problems were characterised in his speech as \\\"unattackable at the present state of mathematics\\\" and are now known as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eLandau's problems \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(source : Wiki)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe 4th Landau's problem aalso known as the 'near square primes' asked whether there are infinitely many primes which are of the form \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep = n^2 + 1, n \\\\in \\\\mathbb{N}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eYour task here is to list such primes below a given input integer\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 20 =\u0026gt; p = [2, 5, 17] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 200 =\u0026gt; p = [2, 5, 17, 37, 101, 197] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 2000 =\u0026gt; p = [2, 5, 17, 37, 101, 197, 257, 401, 577, 677, 1297, 1601] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFobidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45256,"title":"List one vertex neighbors","description":"First input T is a triangulation connectivity indices list (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\r\nSecond input i is a vertex index (positive integer).\r\nThe purpose of this function is to query the list L of all i neighbor indices.\r\nFor instance if\r\nT = [1 2 4;...\r\n 2 3 4;...\r\n 5 6 8;...\r\n 6 7 8;...\r\n 1 2 5;...\r\n 2 5 6;...\r\n 2 3 6;...\r\n 3 6 7;...\r\n 3 4 7;...\r\n 4 7 8;...\r\n 4 1 8;...\r\n 1 8 5]\r\nand i = 3, then the function should return\r\nL = [2, 4, 6, 7]\r\nsince 2, 4, 6, and 7 are all part of triangles / rows in which 3 is also a vertex member.\r\nHypothesis :\r\n- Output L doesn't need to be ordered, but must not contain duplicated index.\r\n- Output L is a row vector , and if the vertex index is not in the list , the function must of course return the empty set, [].\r\n\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 710.633px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 355.317px; transform-origin: 408px 355.317px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; 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border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 5 6 8;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 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text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; 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0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 1 2 5;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 2 5 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 2 3 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 3 6 7;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 3 4 7;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 4 7 8;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 4 1 8;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 8.5px; tab-size: 4; transform-origin: 42.35px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 1 8 5]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 125.45px 8px; transform-origin: 125.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand i = 3, then the function should return\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eL = [2, 4, 6, 7]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 261.758px 8px; transform-origin: 261.758px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince 2, 4, 6, and 7 are all part of triangles / rows in which 3 is also a vertex member.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.5083px 8px; transform-origin: 38.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHypothesis :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2.33333px 8px; transform-origin: 2.33333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.15px 8px; transform-origin: 29.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eOutput L\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 116.075px 8px; transform-origin: 116.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e doesn't need to be ordered, but must\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.8px 8px; transform-origin: 96.8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003enot contain duplicated index.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2.33333px 8px; transform-origin: 2.33333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.0917px 8px; transform-origin: 80.0917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eOutput L is a row vector\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 8px; transform-origin: 17.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e , and\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 112.75px 8px; transform-origin: 112.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eif the vertex index is not in the list\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42px 8px; transform-origin: 42px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e , the function\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 119.392px 8px; transform-origin: 119.392px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003emust of course return the empty set\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, [].\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function L = query_vertex_neighbors(T,i)\r\n L = i;\r\nend","test_suite":"%% triangulated cube\r\nT = [1 2 4;...\r\n 2 3 4;...\r\n 5 6 8;...\r\n 6 7 8;...\r\n 1 2 5;...\r\n 2 5 6;...\r\n 2 3 6;...\r\n 3 6 7;...\r\n 3 4 7;...\r\n 4 7 8;...\r\n 4 1 8;...\r\n 1 8 5];\r\n \r\ni = 3;\r\nL = [2 4 6 7];\r\nassert(isequal(sort(query_vertex_neighbors(T,i),2),L))\r\n\r\n%% Octahedron\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 5;...\r\n 1 5 2;...\r\n 6 3 2;...\r\n 6 4 3;...\r\n 6 5 4;...\r\n 6 2 5];\r\n \r\ni = 5;\r\nL = [1 2 4 6];\r\nassert(isequal(sort(query_vertex_neighbors(T,i),2),L))\r\n\r\n%% Empty set test\r\nT = [2 3 5;...\r\n 3 5 7;...\r\n 5 7 11;...\r\n 7 11 13];\r\n\r\ni = 6;\r\n\r\nassert(isempty(query_vertex_neighbors(T,i)))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('query_vertex_neighbors.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:51:20.000Z","deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":"2025-07-09T05:47:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-01-07T09:24:11.000Z","updated_at":"2025-11-18T16:44:59.000Z","published_at":"2020-01-07T09:56:23.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFirst input T is a triangulation connectivity indices list (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSecond input i is a vertex index (positive integer).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe purpose of this function is to query the list L of all i neighbor indices.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor instance if\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1 2 4;...\\n 2 3 4;...\\n 5 6 8;...\\n 6 7 8;...\\n 1 2 5;...\\n 2 5 6;...\\n 2 3 6;...\\n 3 6 7;...\\n 3 4 7;...\\n 4 7 8;...\\n 4 1 8;...\\n 1 8 5]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand i = 3, then the function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[L = [2, 4, 6, 7]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince 2, 4, 6, and 7 are all part of triangles / rows in which 3 is also a vertex member.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHypothesis :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e-\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput L\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e doesn't need to be ordered, but must\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enot contain duplicated index.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e-\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput L is a row vector\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e , and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eif the vertex index is not in the list\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e , the function\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emust of course return the empty set\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, [].\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60791,"title":"Sum of Even Fibonacci Numbers","description":"Description:\r\nThe Fibonacci sequence is defined as follows:F(1)=1,F(2)=1,F(n)=F(n−1)+F(n−2) for n\u003e2\r\nWrite a function that computes the sum of all even Fibonacci numbers that do not exceed a given number NNN.\r\nExample:\r\nFor N=10, the Fibonacci sequence up to 10 is:\r\n1,1,2,3,5,8\r\nThe even numbers are 2 and 8, and their sum is 10.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 201px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 100.5px; transform-origin: 407px 100.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eDescription:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Fibonacci sequence is defined as follows:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e−\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e+\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e−\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that computes the sum of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eall even Fibonacci numbers\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that do not exceed a given number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e10, the Fibonacci sequence up to 10 is:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e3\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e5\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e8\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe even numbers are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e2 and 8\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and their sum is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e10\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function sum_even_fib = even_fibonacci_sum(N)\r\n % Write your code here\r\nend\r\n","test_suite":"%% Test 1: Basic Case\r\nx = 10;\r\ny_correct = 10; % (2 + 8)\r\nassert(isequal(even_fibonacci_sum(x), y_correct))\r\n\r\n%% Test 2: Larger N\r\nx = 34;\r\ny_correct = 44; % (2 + 8 + 34)\r\nassert(isequal(even_fibonacci_sum(x), y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":383919,"edited_by":383919,"edited_at":"2025-02-10T11:48:53.000Z","deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-02-10T11:47:18.000Z","updated_at":"2025-11-14T09:05:50.000Z","published_at":"2025-02-10T11:48:53.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eDescription:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe Fibonacci sequence is defined as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e−\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e+\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e−\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that computes the sum of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eall even Fibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that do not exceed a given number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e10, the Fibonacci sequence up to 10 is:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe even numbers are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2 and 8\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and their sum is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60946,"title":"Fermat primes","description":"Historical context\r\n\r\n\r\nThe french mathematician Pierre de Fermat found the formula to find some prime numbers. He thought / conjectured all these numbers where primes, but P(5) is actually the first not prime Fermat number.\r\n\r\n\r\nProblem statement\r\n\r\nFor a given integer m, , list the Fermat prime numbers less or equal to m in a vector fp. Also compute their frequency / ratio f compare to all the primes in the same range. If , your function should return fp = [] and f = 0.\r\n\r\nExamples\r\n\r\nIf m = 10 then fp = [3, 5] and f = 2/3 since 3 = P(0), 5 = P(1), and there are in total three primes in the range [3; 10] ;\r\nIf m = 300 then fp = [3, 5, 17, 257] and f = 4/61 since 3 = P(0), 5 = P(1), 17 = P(2), 257 = P(3) and there are in total 61 prime numbers in the range [3; 300] ; \r\nIf m = 2 then fp = [] and f = 0;\r\n\r\n\r\nTip \r\n\r\n here.\r\n\r\n\r\nFobidden functions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\n\r\n\r\nSee also\r\nProblem 60942. Euler primes\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1001.03px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 500.517px; transform-origin: 408px 500.517px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 45px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 22.5px; text-align: left; transform-origin: 385px 22.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 193.7px 8px; transform-origin: 193.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe french mathematician Pierre de Fermat found the formula \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"96\" height=\"23.5\" style=\"width: 96px; height: 23.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.625px 8px; transform-origin: 132.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to find some prime numbers. He thought / conjectured all these numbers where primes, but P(5) is actually the first not prime Fermat number.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 60.2917px 8px; transform-origin: 60.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.225px 8px; transform-origin: 6.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"18\" style=\"width: 40px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 144.3px 8px; transform-origin: 144.3px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003elist the Fermat prime numbers less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.1083px 8px; transform-origin: 38.1083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a vector f\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 98.6167px 8px; transform-origin: 98.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Also compute their frequency / ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ef \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 146.242px 8px; transform-origin: 146.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ecompare to all the primes in the same range. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"18\" style=\"width: 40px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.8583px 8px; transform-origin: 82.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eyour function should return\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.1333px 8px; transform-origin: 23.1333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e fp = [] \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e f = 0.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.9833px 8px; transform-origin: 21.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 10\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e f\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 28.5833px 8px; transform-origin: 28.5833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [3, 5]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.975px 8px; transform-origin: 21.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 2/3 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 56.0083px 8px; transform-origin: 56.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e3 = P(0), 5 = P(1),\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 169.192px 8px; transform-origin: 169.192px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and there are in total three primes in the range [3; 10] \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 2.33333px 8px; transform-origin: 2.33333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.875px 8px; transform-origin: 25.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 300\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e f\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 55.8083px 8px; transform-origin: 55.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [3, 5, 17, 257]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.8667px 8px; transform-origin: 25.8667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 4/61 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 86.9333px 8px; transform-origin: 86.9333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e3 = P(0), 5 = P(1), 17 = P(2)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 32.875px 8px; transform-origin: 32.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e257 = P(3)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 66.125px 8px; transform-origin: 66.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand there are in total 61\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 85.5833px 8px; transform-origin: 85.5833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprime numbers in the range\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e [3; 300] ; \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 20.0333px 8px; transform-origin: 20.0333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 2 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 19.25px 8px; transform-origin: 19.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003efp = []\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14.2px 8px; transform-origin: 14.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.8917px 8px; transform-origin: 17.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.9167px 8px; transform-origin: 64.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFobidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60942-euler-primes\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 60942. Euler primes\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [fp, f] = fermat_primes(n)\r\n fp = n;\r\n f = 1;\r\nend","test_suite":"%%\r\nm = 10;\r\nfp_correct = [3, 5];\r\nf_correct = 2/3;\r\n[fp,f] = fermat_primes(m);\r\nassert(isequal([fp,f],[fp_correct,f_correct]));\r\n\r\n%%\r\nm = 300;\r\nfp_correct = [3, 5, 17, 257];\r\nf_correct = 4/61;\r\n[fp,f] = fermat_primes(m);\r\nassert(isequal([fp,f],[fp_correct,f_correct]));\r\n\r\n%%\r\nm = 2;\r\nfp_correct = [];\r\nf_correct = 0;\r\n[fp,f] = fermat_primes(m);\r\nassert(isequal([fp,f],[fp_correct,f_correct]));\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('fermat_primes.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T06:52:07.000Z","deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":"2025-07-09T05:57:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-27T05:33:53.000Z","updated_at":"2026-03-16T20:10:35.000Z","published_at":"2025-06-27T06:14:34.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe french mathematician Pierre de Fermat found the formula \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\mathbf{P(n) = 2^{2^n} + 1}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to find some prime numbers. He thought / conjectured all these numbers where primes, but P(5) is actually the first not prime Fermat number.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em \\\\geq 3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003elist the Fermat prime numbers less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in a vector f\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Also compute their frequency / ratio \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ecompare to all the primes in the same range. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em \u0026lt; 3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyour function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e fp = [] \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 10\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [3, 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 2/3 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3 = P(0), 5 = P(1),\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and there are in total three primes in the range [3; 10] \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 300\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [3, 5, 17, 257]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 4/61 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3 = P(0), 5 = P(1), 17 = P(2)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e257 = P(3)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand there are in total 61\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprime numbers in the range\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e [3; 300] ; \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 2 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efp = []\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en \\\\leq 4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e here.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFobidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60942-euler-primes\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 60942. Euler primes\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60942,"title":"Euler primes","description":"Historical context\r\n\r\n\r\nThe great swiss mathematician Leonhard Euler found the formula to give some prime numbers.\r\n\r\n\r\nProblem statement\r\n\r\nFor a given integer m, m \u003e= 41, list the Euler prime numbers less or equal to m in a vector ep. Also compute their frequency / ratio f compare to all the primes in the same range. If m is not a positive integer greater or equal to 41, your function should return ep = [] and f = 0.\r\n\r\nExamples (check the tests for more)\r\n\r\nIf m = 41 then ep = 41 and f = 1 since 41 = P(0) and it is the only prime number m greater or equal and less or equal to 41;\r\nIf m = 100 then ep = [41, 43, 47, 53, 61, 71, 83, 97] and f = 8/13 since 41 = P(0), 43 = P(1), 47 = P(2), 53 = P(3), 61 = P(4), 71 = P(5), 83 = P(6), and 97 = P(7), and in total there are 13 prime numbers in the range [41; 100] ; \r\nIf m = 19 then ep = [] and f = 0;\r\n\r\n\r\nTip \r\n\r\nn is less or equal to 107 here.\r\n\r\n\r\nFobidden functions\r\n\r\nregexp\r\nstr2num\r\nassignin\r\n\r\nSee also\r\nProblem 60944. Ulam primes first formula, Problem 60943. Ulam primes second formula\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 988.467px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 494.233px; transform-origin: 408px 494.233px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 204.608px 8px; transform-origin: 204.608px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe great swiss mathematician Leonhard Euler found the formula \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"125\" height=\"19.5\" style=\"width: 125px; height: 19.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.1833px 8px; transform-origin: 92.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to give some prime numbers.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 60.2917px 8px; transform-origin: 60.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.225px 8px; transform-origin: 6.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 26.075px 8px; transform-origin: 26.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em \u0026gt;= 41\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 138.475px 8px; transform-origin: 138.475px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003elist the Euler prime numbers less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.1667px 8px; transform-origin: 36.1667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a vector \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.3833px 8px; transform-origin: 96.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Also compute their frequency / ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ef \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 286.658px 8px; transform-origin: 286.658px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ecompare to all the primes in the same range. If m is not a positive integer greater or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.6667px 8px; transform-origin: 11.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e41, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.35px 8px; transform-origin: 63.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eyour function should return\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24.6917px 8px; transform-origin: 24.6917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e ep = [] \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e f = 0.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6167px 8px; transform-origin: 34.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79.3333px 8px; transform-origin: 79.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(check the tests for more)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.167px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 51.0833px; transform-origin: 392px 51.0833px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.9833px 8px; transform-origin: 21.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 41\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 23.925px 8px; transform-origin: 23.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eep = 41\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.1417px 8px; transform-origin: 16.1417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 1 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 28.9833px 8px; transform-origin: 28.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e41 = P(0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 99.575px 8px; transform-origin: 99.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and it is the only prime number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 108.533px 8px; transform-origin: 108.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e greater or equal and less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 10.1167px 8px; transform-origin: 10.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e41;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.875px 8px; transform-origin: 25.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 100\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 110.258px 8px; transform-origin: 110.258px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eep = [41, 43, 47, 53, 61, 71, 83, 97]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.8667px 8px; transform-origin: 25.8667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 8/13 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 141.192px 8px; transform-origin: 141.192px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e41 = P(0), 43 = P(1), 47 = P(2), 53 = P(3), 61 = P(4), 71 = P(5), 83 = P(6), and 97 = P(7), \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 64.1833px 8px; transform-origin: 64.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand in total there are\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.6667px 8px; transform-origin: 11.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 13 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 85.5833px 8px; transform-origin: 85.5833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprime numbers in the range\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 34.9917px 8px; transform-origin: 34.9917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e [41; 100] ; \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 23.925px 8px; transform-origin: 23.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 19 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 20.8083px 8px; transform-origin: 20.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eep = []\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14.2px 8px; transform-origin: 14.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e107\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.8917px 8px; transform-origin: 17.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.9167px 8px; transform-origin: 64.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFobidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60944-ulam-primes-first-formula\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-style: italic; \"\u003eProblem 60944. Ulam primes first formula\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60943-ulam-primes-second-formula\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-style: italic; \"\u003eProblem 60943. Ulam primes second formula\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [ep,f] = euler_primes(m)\r\n ep = m;\r\n f = 1;\r\nend","test_suite":"%%\r\nm = 41;\r\nep_correct = 41;\r\nf_correct = 1;\r\n[ep,f] = euler_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%%\r\nm = 100;\r\nep_correct = [41, 43, 47, 53, 61, 71, 83, 97];\r\nf_correct = 8/13;\r\n[ep,f] = euler_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%%\r\nm = 200;\r\nep_correct = [41, 43, 47, 53, 61, 71, 83, 97, 113, 131, 151, 173, 197];\r\nf_correct = 13/34;\r\n[ep,f] = euler_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%%\r\nm = 19;\r\nep_correct = [];\r\nf_correct = 0;\r\n[ep,f] = euler_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('euler_primes.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T06:49:26.000Z","deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":"2025-07-09T05:56:34.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-26T14:44:30.000Z","updated_at":"2026-03-16T19:16:06.000Z","published_at":"2025-06-26T15:44:04.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe great swiss mathematician Leonhard Euler found the formula \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\mathbf{P(n) = n^2 + n + 41}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to give some prime numbers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em \u0026gt;= 41\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003elist the Euler prime numbers less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in a vector \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Also compute their frequency / ratio \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ecompare to all the primes in the same range. If m is not a positive integer greater or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e41, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyour function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e ep = [] \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(check the tests for more)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 41\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep = 41\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 1 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e41 = P(0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and it is the only prime number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e greater or equal and less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e41;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 100\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep = [41, 43, 47, 53, 61, 71, 83, 97]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 8/13 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e41 = P(0), 43 = P(1), 47 = P(2), 53 = P(3), 61 = P(4), 71 = P(5), 83 = P(6), and 97 = P(7), \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand in total there are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 13 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprime numbers in the range\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e [41; 100] ; \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 19 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep = []\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e107\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFobidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60944-ulam-primes-first-formula\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem 60944. Ulam primes first formula\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60943-ulam-primes-second-formula\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem 60943. Ulam primes second formula\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45261,"title":"List every vertices neighbor indices","description":"Input T is a triangulation.\r\nThe purpose of this function is to query at once the cell array N of all vertex neighbor indices... of every vertices, nothing less (!)\r\nOutput N must be a cell array since of course each vertex may have a different number of neighbors.\r\nFor example, for an input filled octahedron whom triangulation is\r\nT = [1, 2, 3;...\r\n 1, 3, 4;...\r\n 1, 4, 5;...\r\n 1, 2, 5;...\r\n 2, 3, 6;...\r\n 3, 4, 6;...\r\n 4, 5, 6;...\r\n 2, 5, 6;...\r\n 2, 3, 4;...\r\n 2, 4, 5;...\r\n 1, 2, 4;...\r\n 2, 4, 6],\r\nthen the output N is a 6x1 cell array of integers row vectors, such that :\r\nN(1,1) = {[2, 3, 4, 5]};\r\nN(2,1) = {[1, 3, 4, 5, 6]};\r\nN(3,1) = {[1, 2, 4, 6]};\r\nN(4,1) = {[1, 2, 3, 5, 6]};\r\nN(5,1) = {[1, 2, 4, 6]};\r\nN(6,1) = {[2, 3, 4, 5]};\r\nIndeed vertex #2 is part of triangles [1, 2, 3], [1, 2, 5], [2, 3, 6], [2, 5, 6], [2, 3, 4], [2, 4, 5], [1, 2, 4], and [2, 4, 6], it then admit all the other vertices as neighbors ([1, 3, 4, 5, 6]).\r\nHypothesis / conditions :\r\na vertex is the neighbor of another if they are linked with an edge in at least one same triangle. A vertex is not neighbor of itself.\r\nOutput N row order is crucial since row number actually corresponds to the vertex id / index.\r\nOutput N cells content order doesn't matter, but it doesn't admit any duplicated index / value.\r\nTip : solving my previous problems, and especially query_vertex_neighbors will help you to fully understand and solve this one.\r\nNB : the question of unreferenced vertices is not tacled here. We just supposed there are not.\r\n\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 936.533px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 468.267px; transform-origin: 408px 468.267px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6083px 8px; transform-origin: 34.6083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInput T is a\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/help/matlab/ref/triangulation.html\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003etriangulation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 372.617px 8px; transform-origin: 372.617px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe purpose of this function is to query at once the cell array N of all vertex neighbor indices... of every vertices, nothing less (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 311.425px 8px; transform-origin: 311.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOutput N must be a cell array since of course each vertex may have a different number of neighbors.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 198.783px 8px; transform-origin: 198.783px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, for an input filled octahedron whom triangulation is\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 245.2px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 122.6px; transform-origin: 405px 122.6px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003eT = [1, 2, 3;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 1, 3, 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 1, 4, 5;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 1, 2, 5;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 2, 3, 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 3, 4, 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 4, 5, 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 2, 5, 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 2, 3, 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 2, 4, 5;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 1, 2, 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2, 4, 6],\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 218.575px 8px; transform-origin: 218.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen the output N is a 6x1 cell array of integers row vectors, such that :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 122.6px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 61.3px; transform-origin: 405px 61.3px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 92.4px 8.5px; tab-size: 4; transform-origin: 92.4px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eN(1,1) = {[2, 3, 4, 5]};\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 103.95px 8.5px; tab-size: 4; transform-origin: 103.95px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eN(2,1) = {[1, 3, 4, 5, 6]};\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 92.4px 8.5px; tab-size: 4; transform-origin: 92.4px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eN(3,1) = {[1, 2, 4, 6]};\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 103.95px 8.5px; tab-size: 4; transform-origin: 103.95px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eN(4,1) = {[1, 2, 3, 5, 6]};\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 92.4px 8.5px; tab-size: 4; transform-origin: 92.4px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eN(5,1) = {[1, 2, 4, 6]};\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 92.4px 8.5px; tab-size: 4; transform-origin: 92.4px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eN(6,1) = {[2, 3, 4, 5]};\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 382.583px 8px; transform-origin: 382.583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIndeed vertex #2 is part of triangles [1, 2, 3], [1, 2, 5], [2, 3, 6], [2, 5, 6], [2, 3, 4], [2, 4, 5], [1, 2, 4], and [2, 4, 6], it then admit all the other vertices as neighbors ([1, 3, 4, 5, 6]).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.2px 8px; transform-origin: 83.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHypothesis / conditions :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ea\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 108.875px 8px; transform-origin: 108.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003evertex is the neighbor of another\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 94.525px 8px; transform-origin: 94.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if they are linked with an edge\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 93.7167px 8px; transform-origin: 93.7167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ein at least one same triangle\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 50.1583px 8px; transform-origin: 50.1583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. A vertex is not neighbor of itself.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 96.425px 8px; transform-origin: 96.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eOutput N row order is crucial\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e since\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 190.142px 8px; transform-origin: 190.142px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003erow number actually corresponds to the vertex id / index.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 285.433px 8px; transform-origin: 285.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOutput N cells content order doesn't matter, but it doesn't admit any duplicated index / value.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.6417px 8px; transform-origin: 14.6417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip :\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.7333px 8px; transform-origin: 23.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e solving\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/players/8668631-nicolas-douillet/created\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003emy previous problems\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.2417px 8px; transform-origin: 48.2417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and especially\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/45256-query-a-vertex-neighbors\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003equery_vertex_neighbors\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 145.875px 8px; transform-origin: 145.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will help you to fully understand and solve this one.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 288.867px 8px; transform-origin: 288.867px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNB : the question of unreferenced vertices is not tacled here. We just supposed there are not.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function N = query_every_vertices_neighbor_indices(T)\r\n N = num2cell(T);\r\nend","test_suite":"%% Filled octahedron\r\nT = [1, 2, 3;...\r\n 1, 3, 4;...\r\n 1, 4, 5;...\r\n 1, 2, 5;...\r\n 2, 3, 6;...\r\n 3, 4, 6;...\r\n 4, 5, 6;...\r\n 2, 5, 6;...\r\n 2, 3, 4;...\r\n 2, 4, 5;...\r\n 1, 2, 4;...\r\n 2, 4, 6];\r\n \r\nN = cell(6,1);\r\n\r\nN(1,1) = {[2, 3, 4, 5]};\r\nN(2,1) = {[1, 3, 4, 5, 6]};\r\nN(3,1) = {[1, 2, 4, 6]};\r\nN(4,1) = {[1, 2, 3, 5, 6]};\r\nN(5,1) = {[1, 2, 4, 6]};\r\nN(6,1) = {[2, 3, 4, 5]};\r\n\r\nassert(isequal(query_every_vertices_neighbor_indices(T),N))\r\n\r\n%% Triangulated cube\r\nT = [1, 2, 4;...\r\n 2, 3, 4;...\r\n 5, 6, 8;...\r\n 6, 7, 8;...\r\n 1, 2, 5;...\r\n 2, 5, 6;...\r\n 2, 3, 6;...\r\n 3, 6, 7;...\r\n 3, 4, 7;...\r\n 4, 7, 8;...\r\n 1, 4, 8;...\r\n 1, 5, 8];\r\n\r\nN = cell(8,1);\r\n\r\nN(1,1) = {[2, 4, 5, 8]};\r\nN(2,1) = {[1, 3, 4, 5, 6]};\r\nN(3,1) = {[2, 4, 6, 7]};\r\nN(4,1) = {[1, 2, 3, 7, 8]};\r\nN(5,1) = {[1, 2, 6, 8]};\r\nN(6,1) = {[2, 3, 5, 7, 8]};\r\nN(7,1) = {[3, 4, 6, 8]};\r\nN(8,1) = {[1 4 5 6 7]};\r\n\r\nassert(isequal(query_every_vertices_neighbor_indices(T),N))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('query_every_vertices_neighbor_indices.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:49:16.000Z","deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":"2025-07-09T05:51:29.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-01-10T08:35:13.000Z","updated_at":"2025-11-16T17:45:29.000Z","published_at":"2020-01-10T09:24:12.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput T is a\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/help/matlab/ref/triangulation.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003etriangulation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe purpose of this function is to query at once the cell array N of all vertex neighbor indices... of every vertices, nothing less (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput N must be a cell array since of course each vertex may have a different number of neighbors.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, for an input filled octahedron whom triangulation is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1, 2, 3;...\\n 1, 3, 4;...\\n 1, 4, 5;...\\n 1, 2, 5;...\\n 2, 3, 6;...\\n 3, 4, 6;...\\n 4, 5, 6;...\\n 2, 5, 6;...\\n 2, 3, 4;...\\n 2, 4, 5;...\\n 1, 2, 4;...\\n 2, 4, 6],]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen the output N is a 6x1 cell array of integers row vectors, such that :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[N(1,1) = {[2, 3, 4, 5]};\\nN(2,1) = {[1, 3, 4, 5, 6]};\\nN(3,1) = {[1, 2, 4, 6]};\\nN(4,1) = {[1, 2, 3, 5, 6]};\\nN(5,1) = {[1, 2, 4, 6]};\\nN(6,1) = {[2, 3, 4, 5]};]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIndeed vertex #2 is part of triangles [1, 2, 3], [1, 2, 5], [2, 3, 6], [2, 5, 6], [2, 3, 4], [2, 4, 5], [1, 2, 4], and [2, 4, 6], it then admit all the other vertices as neighbors ([1, 3, 4, 5, 6]).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHypothesis / conditions :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003evertex is the neighbor of another\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if they are linked with an edge\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ein at least one same triangle\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. A vertex is not neighbor of itself.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput N row order is crucial\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e since\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003erow number actually corresponds to the vertex id / index.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput N cells content order doesn't matter, but it doesn't admit any duplicated index / value.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip :\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e solving\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/players/8668631-nicolas-douillet/created\\\"\u003e\u003cw:r\u003e\u003cw:t\u003emy previous problems\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, and especially\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/45256-query-a-vertex-neighbors\\\"\u003e\u003cw:r\u003e\u003cw:t\u003equery_vertex_neighbors\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e will help you to fully understand and solve this one.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNB : the question of unreferenced vertices is not tacled here. We just supposed there are not.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60977,"title":"Linear primes p' = mp + n","description":"Problem statement\r\n\r\nList the prime numbers of the form p' = mp + n for a given (m,n) couple and such that p' \u003c k, k positive integer.\r\n\r\nExamples \r\n\r\n(m,n) = (3,2) and k = 50 =\u003e p = [11, 17, 23, 41];\r\n(m,n) = (4,3) and k = 50 =\u003e p = [11, 23, 31, 47];\r\n(m,n) = (5,4) and k = 100 =\u003e p = [19, 29, 59, 89];\r\n\r\nForbidden functions / expressions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 536.033px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 268.017px; transform-origin: 408px 268.017px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 108.508px 8px; transform-origin: 108.508px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eList the prime numbers of the form \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.7917px 8px; transform-origin: 34.7917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep' = mp + n\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.5583px 8px; transform-origin: 36.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for a given \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16.3333px 8px; transform-origin: 16.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(m,n)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 68.4583px 8px; transform-origin: 68.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e couple and such that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 26.025px 8px; transform-origin: 26.025px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep' \u0026lt; k, k \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.625px 8px; transform-origin: 48.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003epositive integer.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 149.425px 8px; transform-origin: 149.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(m,n) = (3,2) and k = 50 =\u0026gt; p = [11, 17, 23, 41];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 149.425px 8px; transform-origin: 149.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(m,n) = (4,3) and k = 50 =\u0026gt; p = [11, 23, 31, 47];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 149.95px 8px; transform-origin: 149.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(m,n) = (5,4) and k = 100 =\u0026gt; p = [19, 29, 59, 89];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties I\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = list_the_linear_primes(m,n,k)\r\n p = m;\r\nend","test_suite":"%%\r\nm = 3;\r\nn = 2;\r\nk = 50;\r\np_correct = [11, 17, 23, 41];\r\nassert(isequal(list_the_linear_primes(m,n,k),p_correct))\r\n\r\n%%\r\nm = 4;\r\nn = 3;\r\nk = 50;\r\np_correct = [11, 23, 31, 47];\r\nassert(isequal(list_the_linear_primes(m,n,k),p_correct))\r\n\r\n%%\r\nm = 5;\r\nn = 4;\r\nk = 100;\r\np_correct = [19, 29, 59, 89];\r\nassert(isequal(list_the_linear_primes(m,n,k),p_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('list_the_linear_primes.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-21T10:46:17.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-21T10:27:56.000Z","updated_at":"2026-02-12T08:56:23.000Z","published_at":"2025-07-21T10:46:17.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eList the prime numbers of the form \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep' = mp + n\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e for a given \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(m,n)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e couple and such that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep' \u0026lt; k, k \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003epositive integer.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(m,n) = (3,2) and k = 50 =\u0026gt; p = [11, 17, 23, 41];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(m,n) = (4,3) and k = 50 =\u0026gt; p = [11, 23, 31, 47];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(m,n) = (5,4) and k = 100 =\u0026gt; p = [19, 29, 59, 89];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60971,"title":"List the twin prime couples","description":"Problem statement\r\nThe twin prime couples (p,p') are the ones such that p' = p + 2. \r\nFor a given integer n \u003e 1, list the twin prime couples less or equal to n.\r\nPresent your result in a m x 2 matrix, where m is the number of twin couples.\r\n\r\nExamples\r\n\r\nn = 10 =\u003e p = [3, 5; 5, 7];\r\nn = 20 =\u003e p = [3, 5; 5, 7; 11, 13; 17 19];\r\nn = 100 =\u003e p = [3, 5; 5, 7; 11, 13; 17 19; 29, 31; 41, 43; 59, 61; 71, 73];\r\n\r\nForbidden functions / expressions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 566.033px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 283.017px; transform-origin: 408px 283.017px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.9083px 8px; transform-origin: 73.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe twin prime couples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.725px 8px; transform-origin: 15.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(p,p')\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.1167px 8px; transform-origin: 73.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are the ones such that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.8417px 8px; transform-origin: 32.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep' = p + 2. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 60.2917px 8px; transform-origin: 60.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.6417px 8px; transform-origin: 19.6417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en \u0026gt; 1, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 131.475px 8px; transform-origin: 131.475px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003elist the twin prime couples less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.9px 8px; transform-origin: 73.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ePresent your result in a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.1083px 8px; transform-origin: 17.1083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em x 2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 146.242px 8px; transform-origin: 146.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e matrix, where m is the number of twin couples.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 80.5083px 8px; transform-origin: 80.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en = 10 =\u0026gt; p = [3, 5; 5, 7];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 124.717px 8px; transform-origin: 124.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en = 20 =\u0026gt; p = [3, 5; 5, 7; 11, 13; 17 19];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 218.058px 8px; transform-origin: 218.058px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en = 100 =\u0026gt; p = [3, 5; 5, 7; 11, 13; 17 19; 29, 31; 41, 43; 59, 61; 71, 73];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties I\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = list_twin_prime_couples(n)\r\n p = n;\r\nend","test_suite":"%%\r\nn = 10;\r\np_correct = [3, 5; 5, 7];\r\nassert(isequal(list_twin_prime_couples(n),p_correct))\r\n\r\n%%\r\nn = 20;\r\np_correct = [3, 5; 5, 7; 11, 13; 17 19];\r\nassert(isequal(list_twin_prime_couples(n),p_correct))\r\n\r\n%%\r\nn = 100;\r\np_correct = [3, 5; 5, 7; 11, 13; 17 19; 29, 31; 41, 43; 59, 61; 71, 73];\r\nassert(isequal(list_twin_prime_couples(n),p_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('list_twin_prime_couples.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:05:02.000Z","deleted_by":null,"deleted_at":null,"solvers_count":34,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-20T04:27:30.000Z","updated_at":"2026-02-12T07:20:05.000Z","published_at":"2025-07-21T04:54:31.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe twin prime couples \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(p,p')\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are the ones such that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep' = p + 2. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en \u0026gt; 1, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003elist the twin prime couples less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePresent your result in a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em x 2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e matrix, where m is the number of twin couples.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 10 =\u0026gt; p = [3, 5; 5, 7];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 20 =\u0026gt; p = [3, 5; 5, 7; 11, 13; 17 19];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 100 =\u0026gt; p = [3, 5; 5, 7; 11, 13; 17 19; 29, 31; 41, 43; 59, 61; 71, 73];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60976,"title":"List the complementary / symetric prime couples","description":"Problem statement\r\n\r\nFor a given positive integer n, provide the prime couples (p,p') such that p + p' = 10^n.\r\nNB : a number like 5 which is its own complementary to 10 is accepted as a couple : (5,5), but no duplicata should be in the list.\r\n\r\nExamples (check the test suite for more)\r\n\r\nn = 1 =\u003e p = [3, 7; 5, 5];\r\nn = 2 =\u003e p = [3, 97; 11, 89; 17, 83; 29, 71; 41, 59; 47, 53];\r\n\r\nForbidden functions / expressions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\n\r\nProblem 60971. List the twin prime couples\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 626.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 313.3px; transform-origin: 408px 313.3px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 85.9667px 8px; transform-origin: 85.9667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given positive integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.0833px 8px; transform-origin: 82.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprovide the prime couples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.6667px 8px; transform-origin: 17.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(p,p') \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.3333px 8px; transform-origin: 30.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esuch that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.3167px 8px; transform-origin: 42.3167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep + p' = 10^n\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.5083px 8px; transform-origin: 59.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNB : a number like \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e5\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 110.075px 8px; transform-origin: 110.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e which is its own complementary to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e10\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.9px 8px; transform-origin: 80.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is accepted as a couple : \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.275px 8px; transform-origin: 18.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(5,5), \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 102.7px 8px; transform-origin: 102.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ebut no duplicata should be in the list.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.5px 8px; transform-origin: 94.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (check the test suite for more)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 72.7333px 8px; transform-origin: 72.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en = 1 =\u0026gt; p = [3, 7; 5, 5];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 177.225px 8px; transform-origin: 177.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en = 2 =\u0026gt; p = [3, 97; 11, 89; 17, 83; 29, 71; 41, 59; 47, 53];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60971-list-the-twin-prime-couples\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 60971. List the twin prime couples\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties I\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = list_complementary_prime_couples(n)\r\n p = n;\r\nend","test_suite":"%%\r\nn = 1;\r\np_correct = [3, 7; 5, 5];\r\nassert(isequal(list_complementary_prime_couples(n),p_correct))\r\n\r\n%%\r\nn = 2;\r\np_correct = [3, 97; 11, 89; 17, 83; 29, 71; 41, 59; 47, 53];\r\nassert(isequal(list_complementary_prime_couples(n),p_correct))\r\n\r\n%%\r\nn = 3;\r\np_correct = [3, 997; 17, 983; 23, 977; 29, 971; 47, 953; 53, 947; 59, 941; 71, 929; 89, 911; 113, 887; 137, 863; 173, 827; 179, 821; 191, 809; 227, 773; 239, 761; 257, 743; 281, 719; 317, 683; 347, 653; 353, 647; 359, 641; 383, 617; 401, 599; 431, 569; 443, 557; 479, 521; 491, 509];\r\nassert(isequal(list_complementary_prime_couples(n),p_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('list_complementary_prime_couples.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:05:32.000Z","deleted_by":null,"deleted_at":null,"solvers_count":33,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-21T09:12:23.000Z","updated_at":"2026-02-12T08:55:22.000Z","published_at":"2025-07-21T09:58:58.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given positive integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprovide the prime couples \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(p,p') \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esuch that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep + p' = 10^n\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNB : a number like \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e which is its own complementary to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is accepted as a couple : \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(5,5), \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ebut no duplicata should be in the list.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (check the test suite for more)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 1 =\u0026gt; p = [3, 7; 5, 5];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 2 =\u0026gt; p = [3, 97; 11, 89; 17, 83; 29, 71; 41, 59; 47, 53];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60971-list-the-twin-prime-couples\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 60971. List the twin prime couples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58817,"title":"Find the phi variation as a function of distance after solving through finite volume method. Return dphi/dx at all faces in form of array.","description":"\r\nThe question is a NPTEL online course assignment question. I have put it here becuase I wanted to create a problem set for numerical methods and computational engineering so that mechanical engineers can try it out. Interested ones can contact me so that we can create a problem group for CFD and FEM. 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63.0199px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.502px 31.5044px; text-align: left; transform-origin: 384.502px 31.51px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe question is a NPTEL online course assignment question. I have put it here becuase I wanted to create a problem set for numerical methods and computational engineering so that mechanical engineers can try it out. Interested ones can contact me so that we can create a problem group for CFD and FEM. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = oneD(n) %n is the number of grid points\r\n \r\nend","test_suite":"%%\r\nn = 5;\r\ny_correct = [0,47.5,38.5,23.5,2.5,0];\r\nassert(isequal(oneD(n),y_correct))\r\n%% \r\nfiletext = fileread('oneD.m');\r\nillegal = contains(filetext,'47.5'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":1809490,"edited_by":1809490,"edited_at":"2023-08-13T05:44:21.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2023-08-13T05:44:21.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-08-07T17:01:20.000Z","updated_at":"2024-11-02T15:52:16.000Z","published_at":"2023-08-07T17:29:20.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"523\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"1200\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe question is a NPTEL online course assignment question. I have put it here becuase I wanted to create a problem set for numerical methods and computational engineering so that mechanical engineers can try it out. Interested ones can contact me so that we can create a problem group for CFD and FEM. 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primes second formula","description":"Historical context\r\n\r\n\r\nThe polish-american mathematician Stanislaw Ulam found the formula to give some prime numbers not given neither by Euler's formula neither by its own first formula. \r\n\r\n\r\nProblem statement\r\n\r\nFor a given integer m, m \u003e= 59, list the Ulam prime numbers less or equal to m in a vector up. Also compute their frequency / ratio f compare to all the primes in the same range. If m is not a positive integer greater or equal to 59, your function should return up = [] and f = 0.\r\n\r\nExamples (check the tests for more)\r\n\r\nIf m = 59 then up = 59 and f = 1 since 59 = P(0) and it is the only prime number m greater or equal and less or equal to 59;\r\nIf m = 200 then up = [59, 67, 83, 107, 139, 179] and f = 6/30 since 59 = P(0), 67 = P(1), 83 = P(2), 107 = P(3), 139 = P(4), 179 = P(5), and there are in total 30 prime numbers in the range [59; 200] ; \r\nIf m = 23 then up = [] and f = 0;\r\n\r\n\r\nTip \r\n\r\n here.\r\n\r\n\r\nFobidden functions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\n\r\n\r\nSee also\r\nUlam primes first formula\r\nEuler primes\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; 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\"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 219.4px 8px; transform-origin: 219.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe polish-american mathematician Stanislaw Ulam found the formula \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"140\" height=\"19.5\" style=\"width: 140px; height: 19.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.1833px 8px; transform-origin: 92.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to give some prime numbers not given neither by Euler's formula neither by its own first formula. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 60.2917px 8px; transform-origin: 60.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.225px 8px; transform-origin: 6.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 26.075px 8px; transform-origin: 26.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em \u0026gt;= 59\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 138.475px 8px; transform-origin: 138.475px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003elist the Ulam prime numbers less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a vector u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.3833px 8px; transform-origin: 96.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Also compute their frequency / ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ef \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 294.442px 8px; transform-origin: 294.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ecompare to all the primes in the same range. If m is not a positive integer greater or equal to 59\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.35px 8px; transform-origin: 63.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eyour function should return\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.075px 8px; transform-origin: 25.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e up = [] \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e f = 0.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6167px 8px; transform-origin: 34.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79.3333px 8px; transform-origin: 79.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(check the tests for more)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.167px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 51.0833px; transform-origin: 392px 51.0833px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.9833px 8px; transform-origin: 21.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 59\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 6.21667px 8px; transform-origin: 6.21667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 20.0333px 8px; transform-origin: 20.0333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = 59\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.1417px 8px; transform-origin: 16.1417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 1 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 26.0667px 8px; transform-origin: 26.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince 59\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.2px 8px; transform-origin: 21.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e = P(0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 99.575px 8px; transform-origin: 99.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and it is the only prime number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 108.533px 8px; transform-origin: 108.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e greater or equal and less or equal to 59\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 2.33333px 8px; transform-origin: 2.33333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.875px 8px; transform-origin: 25.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 200\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 6.21667px 8px; transform-origin: 6.21667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 94.7083px 8px; transform-origin: 94.7083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [59, 67, 83, 107, 139, 179]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.8667px 8px; transform-origin: 25.8667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 6/30 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 26.0667px 8px; transform-origin: 26.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince 59\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 147.225px 8px; transform-origin: 147.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e = P(0), 67 = P(1), 83 = P(2), 107 = P(3), 139 = P(4), 179 = P(5), \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 73.9083px 8px; transform-origin: 73.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand there are in total 30\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 85.5833px 8px; transform-origin: 85.5833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprime numbers in the range\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 34.9917px 8px; transform-origin: 34.9917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e [59; 200] ; \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 23.925px 8px; transform-origin: 23.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 23 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 19.45px 8px; transform-origin: 19.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.9167px 8px; transform-origin: 16.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = []\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14.2px 8px; transform-origin: 14.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.9167px 8px; transform-origin: 64.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFobidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630/problems/60944\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eUlam primes first formula\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60942-euler-primes\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eEuler primes\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [up,f] = ulam_primes2(m)\r\n up = m;\r\n f = 1;\r\nend","test_suite":"%%\r\nm = 59;\r\nup_correct = 59;\r\nf_correct = 1;\r\n[up,f] = ulam_primes2(m);\r\nassert(isequal([up,f],[up_correct,f_correct]));\r\n\r\n%%\r\nm = 200;\r\nup_correct = [59, 67, 83, 107, 139, 179];\r\nf_correct = 1/5;\r\n[up,f] = ulam_primes2(m);\r\nassert(isequal([up,f],[up_correct,f_correct]));\r\n\r\n%%\r\nm = 500;\r\nup_correct = [59, 67, 83, 107, 139, 179, 227, 283, 347, 419, 499];\r\nf_correct = 11/79;\r\n[up,f] = ulam_primes2(m);\r\nassert(isequal([up,f],[up_correct,f_correct]));\r\n\r\n%%\r\nm = 23;\r\nup_correct = [];\r\nf_correct = 0;\r\n[up,f] = ulam_primes2(m);\r\nassert(isequal([up,f],[up_correct,f_correct]));\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('ulam_primes2.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:08:26.000Z","deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":"2025-07-09T05:56:45.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-26T19:08:27.000Z","updated_at":"2026-03-16T19:09:48.000Z","published_at":"2025-06-26T19:44:55.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe polish-american mathematician Stanislaw Ulam found the formula \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\mathbf{P(n) = 4n^2 + 4n + 59}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to give some prime numbers not given neither by Euler's formula neither by its own first formula. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em \u0026gt;= 59\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003elist the Ulam prime numbers less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in a vector u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Also compute their frequency / ratio \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ecompare to all the primes in the same range. If m is not a positive integer greater or equal to 59\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyour function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e up = [] \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(check the tests for more)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 59\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 59\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 1 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince 59\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e = P(0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and it is the only prime number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e greater or equal and less or equal to 59\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 200\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [59, 67, 83, 107, 139, 179]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 6/30 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince 59\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e = P(0), 67 = P(1), 83 = P(2), 107 = P(3), 139 = P(4), 179 = P(5), \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand there are in total 30\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprime numbers in the range\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e [59; 200] ; \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 23 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = []\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en \\\\leq 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w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630/problems/60944\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eUlam primes first formula\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60942-euler-primes\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eEuler primes\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60941,"title":"Prime numbers which are the difference of two consecutive cubes","description":"Problem statement\r\n\r\nGiven a positive integer n greater than 2, find the prime numbers less or equal to n and which are the difference of the cubes of two consecutive integers and store them in ascending order in a row vector u. Also, compute the frequency / ratio f of those numbers compare to all the prime numbers less or equal to n.\r\n\r\nExamples\r\n\r\nIf n = 100, then u = [7, 19, 37, 61], and f = 4/25, since 7 = 2^3 - 1^3, 19 = 3^3 - 2^3, 37 = 4^3 - 3^3, 61 = 5^3 - 4^3, and there are 25 prime numbers less or equal to 100;\r\nIf n = 400, then u = [7, 19, 37, 61, 127, 271, 331, 397], and f = 8/78, since 127 = 7^3 - 6^3, 271 = 10^3 - 9^3, 331 = 11^3 - 10^3, 397 = 12^3 - 11^3, and there are 78 prime numbers less or equal to 400;\r\nTips\r\n\r\n\r\n\r\nForbidden functions\r\n\r\nregexpr\r\nstr2num\r\nassignin\r\n\r\nSee also\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 668.033px; display: block; 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font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.075px 8px; transform-origin: 75.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a positive integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; 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margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 122.917px 8px; transform-origin: 122.917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003efind the prime numbers less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 129.833px 8px; transform-origin: 129.833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and which are the difference of the cubes of two consecutive integers and store them in ascending order in a row vector \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eu\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.95px 8px; transform-origin: 113.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Also, compute the frequency / ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ef\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of those numbers compare to all the prime numbers less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 6.21667px 8px; transform-origin: 6.21667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 27.8083px 8px; transform-origin: 27.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 100, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14.775px 8px; transform-origin: 14.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 61.6333px 8px; transform-origin: 61.6333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e u = [7, 19, 37, 61], \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 12.4417px 8px; transform-origin: 12.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.8667px 8px; transform-origin: 25.8667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e f = 4/25\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.3417px 8px; transform-origin: 16.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 190.017px 8px; transform-origin: 190.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 7 = 2^3 - 1^3, 19 = 3^3 - 2^3, 37 = 4^3 - 3^3, 61 = 5^3 - 4^3, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 41.625px 8px; transform-origin: 41.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand there are\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.6667px 8px; transform-origin: 11.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 25 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 96.0833px 8px; transform-origin: 96.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprime numbers less or equal to\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 100;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 6.21667px 8px; transform-origin: 6.21667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 27.8083px 8px; transform-origin: 27.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 400, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14.775px 8px; transform-origin: 14.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 123.867px 8px; transform-origin: 123.867px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e u = [7, 19, 37, 61, 127, 271, 331, 397], \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 12.4417px 8px; transform-origin: 12.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.8667px 8px; transform-origin: 25.8667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e f = 8/78\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.3417px 8px; transform-origin: 16.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 129.25px 8px; transform-origin: 129.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 127 = 7^3 - 6^3, 271 = 10^3 - 9^3, 331 = 11^3 - 10^3, 397 = 12^3 - 11^3, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 41.625px 8px; transform-origin: 41.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand there are\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.6667px 8px; transform-origin: 11.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 78 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 96.0833px 8px; transform-origin: 96.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprime numbers less or equal to\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 400;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.2583px 8px; transform-origin: 14.2583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTips\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"176\" height=\"19.5\" style=\"width: 176px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.6417px 8px; transform-origin: 67.6417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 23.7333px 8px; transform-origin: 23.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexpr\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [u, f] = cube_delta_primes(n)\r\n \r\n u = n;\r\n f = 1;\r\n\r\nend","test_suite":"%%\r\nn = 100;\r\nu_correct = [7, 19, 37, 61];\r\nf_correct = 4/25;\r\n[u,f] = cube_delta_primes(n);\r\nassert(isequal([u,f],[u_correct,f_correct]));\r\n\r\n%%\r\nn = 400;\r\nu_correct = [7, 19, 37, 61, 127, 271, 331, 397];\r\nf_correct = 8/78;\r\n[u,f] = cube_delta_primes(n);\r\nassert(isequal([u,f],[u_correct,f_correct]));\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('cube_delta_primes.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T06:46:51.000Z","deleted_by":null,"deleted_at":null,"solvers_count":30,"test_suite_updated_at":"2025-07-09T05:55:53.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-26T11:57:42.000Z","updated_at":"2026-03-30T01:16:24.000Z","published_at":"2025-06-26T12:34:41.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a positive integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003egreater than\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 2, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003efind the prime numbers less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and which are the difference of the cubes of two consecutive integers and store them in ascending order in a row vector \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eu\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Also, compute the frequency / ratio \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e of those numbers compare to all the prime numbers less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 100, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e u = [7, 19, 37, 61], \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 4/25\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 7 = 2^3 - 1^3, 19 = 3^3 - 2^3, 37 = 4^3 - 3^3, 61 = 5^3 - 4^3, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand there are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 25 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprime numbers less or equal to\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 100;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 400, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e u = [7, 19, 37, 61, 127, 271, 331, 397], \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 8/78\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 127 = 7^3 - 6^3, 271 = 10^3 - 9^3, 331 = 11^3 - 10^3, 397 = 12^3 - 11^3, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand there are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 78 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprime numbers less or equal to\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 400;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTips\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(n+1)^3 - n^3 = 3n^2 + 3n + 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexpr\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60987,"title":"Build triangulation from -sorted- edge list","description":"Problem statement\r\nAn edge list is simply a N x 2 matrix of positive integers, in which N is the number of edges and each integer is a vertex index. Like this, an edge is defined by the indices of its two vertices.\r\nA triangulation is simply a M x 3 matrix of positive integers, in which M is the number of triangles and each integer is a vertex index. Like this, a triangle is defined by the indices of its three vertices.\r\nIn this problem the gaol is to rebuild the triangulation from the ordered edge list. \r\n\r\nExample (check the test suite here below for more)\r\nE = [1 2;\r\n 1 3;\r\n 2 3];\r\n=\u003e\r\nT = [1 2 3];\r\n\r\nTips \u0026 clues\r\nSince a triangle always has 3 edges, you could process the edge list by blocks of 3 rows;\r\nTriangles orientation (vertices order in the list) doesn't matter here : [1 2 3] and [1 3 2] are a same unique triangle;\r\nOn the other hand, the order of the triangles in the list should be preserved;\r\nYou could see this as the reciprocal operation to the one of building the edge list (E = nchoosek(T,2) )\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 792.2px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 396.1px; transform-origin: 408px 396.1px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 369.9px 8px; transform-origin: 369.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn edge list is simply a N x 2 matrix of positive integers, in which N is the number of edges and each integer is a vertex index. Like this, an edge is defined by the indices of its two vertices.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 366.017px 8px; transform-origin: 366.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulation is simply a M x 3 matrix of positive integers, in which M is the number of triangles and each integer is a vertex index. Like this, a triangle is defined by the indices of its three vertices.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 269.417px 8px; transform-origin: 269.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIn this problem the gaol is to rebuild the triangulation from the ordered edge list. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 130.683px 8px; transform-origin: 130.683px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (check the test suite here below for more)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 30.65px; transform-origin: 405px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 34.65px 8.5px; tab-size: 4; transform-origin: 34.65px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eE = [1 2;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 34.65px 8.5px; tab-size: 4; transform-origin: 34.65px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 1 3;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 38.5px 8.5px; tab-size: 4; transform-origin: 38.5px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 3];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 46.2px 8.5px; tab-size: 4; transform-origin: 46.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eT = [1 2 3];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.0917px 8px; transform-origin: 41.0917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTips \u0026amp; clues\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 275.008px 8px; transform-origin: 275.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSince a triangle always has 3 edges, you could process the edge list by blocks of 3 rows;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 350.75px 8px; transform-origin: 350.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTriangles orientation (vertices order in the list) doesn't matter here : [1 2 3] and [1 3 2] are a same unique triangle;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 232.992px 8px; transform-origin: 232.992px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand, the order of the triangles in the list should be preserved;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 312.692px 8px; transform-origin: 312.692px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"perspective-origin: 249.483px 8px; transform-origin: 249.483px 8px; \"\u003eYou could see this as the reciprocal operation to the one of building the edge list \u003c/span\u003e\u003cspan style=\"border-block-end-style: solid; border-block-end-width: 1px; border-bottom-style: solid; border-bottom-width: 1px; perspective-origin: 2.33333px 8.5px; transform-origin: 2.33333px 8.5px; \"\u003e(\u003c/span\u003e\u003cspan style=\"perspective-origin: 58.5417px 8px; transform-origin: 58.5417px 8px; \"\u003eE = nchoosek(T,2) \u003c/span\u003e\u003cspan style=\"border-block-end-style: solid; border-block-end-width: 1px; border-bottom-style: solid; border-bottom-width: 1px; perspective-origin: 2.33333px 8.5px; transform-origin: 2.33333px 8.5px; \"\u003e)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = build_triangulation_from_edge_list(E)\r\n\r\n T = E;\r\n \r\nend","test_suite":"%% One triangle\r\nE = [1 2;\r\n 1 3;\r\n 2 3];\r\n\r\nT_correct = [1 2 3];\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Two independant consecutive triangles\r\nE = [1 2;\r\n 1 3;\r\n 2 3;\r\n 4 5;\r\n 4 6;\r\n 5 6];\r\n\r\nT_correct = [1 2 3;\r\n 4 5 6];\r\n\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Two consecutive linked triangles\r\nE = [1 2;\r\n 1 3;\r\n 2 3;\r\n 3 2;\r\n 3 4;\r\n 2 4];\r\n\r\nT_correct = [1 2 3;\r\n 3 2 4];\r\n\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Full example #1 : tetrahedron\r\nE = [1 2;\r\n 2 4;\r\n 1 4;\r\n 2 3;\r\n 3 4;\r\n 2 4;\r\n 3 1;\r\n 1 4;\r\n 3 4;\r\n 1 3;\r\n 1 2;\r\n 3 2];\r\n\r\nT_correct = [1 2 4;\r\n 2 3 4;\r\n 3 1 4;\r\n 1 3 2];\r\n\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Full example #2 : octahedron\r\nE = [1 2;\r\n 1 5;\r\n 2 5;\r\n 2 3;\r\n 2 5;\r\n 3 5;\r\n 3 4;\r\n 3 5;\r\n 4 5;\r\n 4 1;\r\n 4 5;\r\n 1 5;\r\n 1 6;\r\n 1 2;\r\n 6 2;\r\n 2 6;\r\n 2 3;\r\n 6 3;\r\n 3 6;\r\n 3 4;\r\n 6 4;\r\n 4 6;\r\n 4 1;\r\n 6 1];\r\n\r\nT_correct = [1 2 5;\r\n 2 3 5;\r\n 3 4 5;\r\n 4 1 5;\r\n 1 6 2;\r\n 2 6 3;\r\n 3 6 4;\r\n 4 6 1];\r\n\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('build_triangulation_from_edge_list.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-08-27T15:26:58.000Z","deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:11:40.000Z","updated_at":"2026-02-15T07:41:39.000Z","published_at":"2025-07-24T08:24:46.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn edge list is simply a N x 2 matrix of positive integers, in which N is the number of edges and each integer is a vertex index. Like this, an edge is defined by the indices of its two vertices.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulation is simply a M x 3 matrix of positive integers, in which M is the number of triangles and each integer is a vertex index. Like this, a triangle is defined by the indices of its three vertices.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIn this problem the gaol is to rebuild the triangulation from the ordered edge list. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (check the test suite here below for more)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[E = [1 2;\\n 1 3;\\n 2 3];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1 2 3];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTips \u0026amp; clues\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSince a triangle always has 3 edges, you could process the edge list by blocks of 3 rows;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTriangles orientation (vertices order in the list) doesn't matter here : [1 2 3] and [1 3 2] are a same unique triangle;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand, the order of the triangles in the list should be preserved;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou could see this as the reciprocal operation to the one of building the edge list (E = nchoosek(T,2) )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45219,"title":"Find edges from a vertex","description":"First input is T, a triplet list of indices. Second input is i, a single index (positive integer). The goal of this function is to find and return all the edges [e1 e2] this vertex belong to.\r\nFor example if inputs are\r\nT = [1 2 3 ;...\r\n 1 3 4 ;...\r\n 1 4 2 ;...\r\n 2 3 4]\r\nand\r\ni = 4\r\nthen the output is the 3 x 2\r\nmatrix edg_list= [1 4;...\r\n 3 4;...\r\n 2 4]\r\nsince vertex number 4 is linked with vertices number 1, 2, and 3 and then part of edges [1 4], [2 4], and [3 4]. Format of the output must be the following :\r\nsize(edg_list) = [number of edges, 2]\r\nEvery row of it is an edge at the format [e1, e2], sorted in ascending order, i.e. e1 \u003c e2, and e1, e2 positive integers.\r\nEach edge is present once and only once, no duplicated edge admitted\r\nOrder of rows / edges in the output doesn't matter .\r\nIf the vertex is not in the list, the function must of course return the empty set.\r\n\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 632.2px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 316.1px; transform-origin: 408px 316.1px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.725px 8px; transform-origin: 375.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFirst input is T, a triplet list of indices. Second input is i, a single index (positive integer). The goal of this function is to find and return all the edges [e1 e2] this vertex belong to.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.0167px 8px; transform-origin: 77.0167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example if inputs are\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 40.8667px; transform-origin: 405px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 57.75px 8.5px; tab-size: 4; transform-origin: 57.75px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 46.2px 8.5px; transform-origin: 46.2px 8.5px; \"\u003eT = [1 2 3 ;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 57.75px 8.5px; tab-size: 4; transform-origin: 57.75px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 46.2px 8.5px; transform-origin: 46.2px 8.5px; \"\u003e 1 3 4 ;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 57.75px 8.5px; tab-size: 4; transform-origin: 57.75px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 46.2px 8.5px; transform-origin: 46.2px 8.5px; \"\u003e 1 4 2 ;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 8.5px; tab-size: 4; transform-origin: 42.35px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 3 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 19.25px 8.5px; tab-size: 4; transform-origin: 19.25px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ei = 4\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.45px 8px; transform-origin: 82.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen the output is the 3 x 2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 30.65px; transform-origin: 405px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 96.25px 8.5px; tab-size: 4; transform-origin: 96.25px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 26.95px 8.5px; transform-origin: 26.95px 8.5px; \"\u003ematrix \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 53.9px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 53.9px 8.5px; \"\u003eedg_list= [1 4\u003c/span\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 3.85px 8.5px; transform-origin: 3.85px 8.5px; \"\u003e;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 96.25px 8.5px; tab-size: 4; transform-origin: 96.25px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 84.7px 8.5px; transform-origin: 84.7px 8.5px; \"\u003e 3 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 84.7px 8.5px; tab-size: 4; transform-origin: 84.7px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 380.75px 8px; transform-origin: 380.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince vertex number 4 is linked with vertices number 1, 2, and 3 and then part of edges [1 4], [2 4], and [3 4]. Format of the output must be the following :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 113.392px 8px; transform-origin: 113.392px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esize(edg_list) = [number of edges, 2]\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 240.742px 8px; transform-origin: 240.742px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEvery row of it is an edge at the format [e1, e2], sorted in ascending order, i.e.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 23.5417px 8px; transform-origin: 23.5417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ee1 \u0026lt; e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 91.4083px 8px; transform-origin: 91.4083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and e1, e2 positive integers.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 236.008px 8px; transform-origin: 236.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEach edge is present once and only once, no duplicated edge admitted\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 166.133px 8px; transform-origin: 166.133px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eOrder of rows / edges in the output doesn't matter\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e .\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 238.775px 8px; transform-origin: 238.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf the vertex is not in the list, the function must of course return the empty set.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function edg_list = find_edges_from_vertex(T,i)\r\n edg_list = T;\r\nend","test_suite":"%% Tetrahedron\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 2;...\r\n 2 3 4];\r\n \r\ni = 4;\r\n\r\nedg_list = [1 4;...\r\n 2 4;...\r\n 3 4];\r\n \r\nassert(isequal(sortrows(find_edges_from_vertex(T,i)),edg_list))\r\n \r\n%% Triangulated cube\r\nT = [1 2 4;...\r\n 2 3 4;...\r\n 5 6 8;...\r\n 6 7 8;...\r\n 1 2 5;...\r\n 2 5 6;...\r\n 2 3 6;...\r\n 3 6 7;...\r\n 3 4 7;...\r\n 4 7 8;...\r\n 4 1 8;...\r\n 1 8 5];\r\n\r\ni = 7;\r\n\r\nedg_list = [3 7;...\r\n 4 7;...\r\n 6 7;...\r\n 7 8];\r\n\r\nassert(isequal(sortrows(find_edges_from_vertex(T,i)),edg_list)); \r\n\r\n%% Empty set test\r\nT = [2 3 5;...\r\n 3 5 7;...\r\n 5 7 11;...\r\n 7 11 13];\r\n \r\ni = 8;\r\n\r\nassert(isempty(find_edges_from_vertex(T,i)))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('find_edges_from_vertex.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:51:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":28,"test_suite_updated_at":"2025-07-09T05:49:14.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-12-02T15:54:28.000Z","updated_at":"2025-11-18T16:58:11.000Z","published_at":"2019-12-03T07:32:15.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFirst input is T, a triplet list of indices. Second input is i, a single index (positive integer). The goal of this function is to find and return all the edges [e1 e2] this vertex belong to.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example if inputs are\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1 2 3 ;...\\n 1 3 4 ;...\\n 1 4 2 ;...\\n 2 3 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[i = 4]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen the output is the 3 x 2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[matrix edg_list= [1 4;...\\n 3 4;...\\n 2 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince vertex number 4 is linked with vertices number 1, 2, and 3 and then part of edges [1 4], [2 4], and [3 4]. Format of the output must be the following :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esize(edg_list) = [number of edges, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEvery row of it is an edge at the format [e1, e2], sorted in ascending order, i.e.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ee1 \u0026lt; e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and e1, e2 positive integers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEach edge is present once and only once, no duplicated edge admitted\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOrder of rows / edges in the output doesn't matter\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e .\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf the vertex is not in the list, the function must of course return the empty set.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60947,"title":"Euclid primes","description":"Historical context\r\nEuclid, the greek mathematician proved at his time that the prime numbers set is an infinite. By the way he built some numbers, the Euclid numbers, an infinity of which are thought to be prime (it is still a conjecture). These numbers write themselves as e(n) = 1 + the nth primorial : (notre that 2 and 3 are the two first Euclid primes)\r\n\r\n \r\n \r\n\r\nProblem statement\r\n\r\nFor a given integer m, m \u003e= 2, list the Euclid prime numbers less or equal to m in a vector ep. Also compute their frequency / ratio f compare to all the primes in the same range. If , your function should return ep = [] and f = 0.\r\n \r\n\r\nExamples (check the tests for more) \r\n\r\nIf m = 10 then ep = [2, 3, 7] and f = 3/4 since 5 is the only prime number over the four ones less than 10 which is not an Euclid prime;\r\n \r\nIf m = 300 then ep = [2, 3, 7, 31, 211] and f = 5/62 since 2 and 3 are Euclid primes, 7 = 2x3+1, 31 = 2x3x5+1, 211 = 2x3x5x7+1, and there are in total 62 prime numbers in the range [2; 300] ; \r\n \r\nIf m = 1 then ep = [] and f = 0;\r\n \r\nTip \r\n here.\r\n \r\n\r\nFobidden functions \r\nregexp\r\n \r\nstr2num\r\n \r\nassignin\r\n\r\n\r\nSee also\r\nProblem 60942. Euler primes\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1228.27px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 614.133px; transform-origin: 408px 614.133px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 364.45px 8px; transform-origin: 364.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEuclid, the greek mathematician proved at his time that the prime numbers set is an infinite. By the way he built some numbers, the Euclid numbers, an infinity of which are thought to be prime (it is still a conjecture). These numbers write themselves as e(n) = 1 + the nth primorial : (notre that 2 and 3 are the two first Euclid primes)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan 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\" width=\"174.5\" height=\"58\" style=\"width: 174.5px; height: 58px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 60.2917px 8px; transform-origin: 60.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.225px 8px; transform-origin: 6.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 22.1833px 8px; transform-origin: 22.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em \u0026gt;= 2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 141.2px 8px; transform-origin: 141.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003elist the Euclid prime numbers less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.1667px 8px; transform-origin: 36.1667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a vector \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.4583px 8px; transform-origin: 96.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Also compute their frequency / ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ef \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 146.242px 8px; transform-origin: 146.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ecompare to all the primes in the same range. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"18\" style=\"width: 40px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.8583px 8px; transform-origin: 82.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eyour function should return\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24.6917px 8px; transform-origin: 24.6917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e ep = [] \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e f = 0.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6167px 8px; transform-origin: 34.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79.3333px 8px; transform-origin: 79.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(check the tests for more)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.9833px 8px; transform-origin: 21.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 10\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 40.25px 8px; transform-origin: 40.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eep = [2, 3, 7]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.975px 8px; transform-origin: 21.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 3/4 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.3417px 8px; transform-origin: 16.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 220.933px 8px; transform-origin: 220.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e5 is the only prime number over the four ones less than 10 which is not an Euclid prime\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.875px 8px; transform-origin: 25.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 300\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 66.9583px 8px; transform-origin: 66.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eep = [2, 3, 7, 31, 211]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.8667px 8px; transform-origin: 25.8667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 5/62 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e3\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 59.9px 8px; transform-origin: 59.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are Euclid primes, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 100.45px 8px; transform-origin: 100.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e7 = 2x3+1, 31 = 2x3x5+1, 211 = 2x3x5x7+1, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 41.625px 8px; transform-origin: 41.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand there are\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 20.6167px 8px; transform-origin: 20.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein total\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 9.725px 8px; transform-origin: 9.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e62 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 85.5833px 8px; transform-origin: 85.5833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprime numbers in the range\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e [2; 300] ; \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 20.0333px 8px; transform-origin: 20.0333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 1 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 20.8083px 8px; transform-origin: 20.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eep = []\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14.2px 8px; transform-origin: 14.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 11px; text-align: left; transform-origin: 385px 11px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"49\" height=\"20\" style=\"width: 49px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.8917px 8px; transform-origin: 17.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.9167px 8px; transform-origin: 64.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFobidden functions\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60942-euler-primes\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 60942. Euler primes\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [ep,f] = euclid_primes(n)\r\n ep = n;\r\n f = 1;\r\nend","test_suite":"%%\r\nm = 5;\r\nep_correct = [2,3];\r\nf_correct = 2/3;\r\n[ep,f] = euclid_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%%\r\nm = 10;\r\nep_correct = [2,3,7];\r\nf_correct = 3/4;\r\n[ep,f] = euclid_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%%\r\nm = 100;\r\nep_correct = [2,3,7,31];\r\nf_correct = 4/25;\r\n[ep,f] = euclid_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%%\r\nm = 300;\r\nep_correct = [2,3,7,31,211];\r\nf_correct = 5/62;\r\n[ep,f] = euclid_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('euclid_primes.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T06:54:43.000Z","deleted_by":null,"deleted_at":null,"solvers_count":16,"test_suite_updated_at":"2025-07-09T05:57:31.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-27T12:58:55.000Z","updated_at":"2026-03-16T20:27:53.000Z","published_at":"2025-06-27T13:49:30.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEuclid, the greek mathematician proved at his time that the prime numbers set is an infinite. By the way he built some numbers, the Euclid numbers, an infinity of which are thought to be prime (it is still a conjecture). These numbers write themselves as e(n) = 1 + the nth primorial : (notre that 2 and 3 are the two first Euclid primes)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"heading\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ee(n) = 1 + \\\\prod_{p_n \\\\in \\\\mathbb{P}} p_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em \u0026gt;= 2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003elist the Euclid prime numbers less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in a vector \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Also compute their frequency / ratio \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ecompare to all the primes in the same range. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em \u0026lt; 2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyour function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e ep = [] \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(check the tests for more)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 10\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep = [2, 3, 7]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 3/4 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e5 is the only prime number over the four ones less than 10 which is not an Euclid prime\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 300\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep = [2, 3, 7, 31, 211]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 5/62 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are Euclid primes, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e7 = 2x3+1, 31 = 2x3x5+1, 211 = 2x3x5x7+1, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand there are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ein total\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e62 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprime numbers in the range\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e [2; 300] ; \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 1 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep = []\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep_n \\\\leq 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Euler primes\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60940,"title":"Find the first occurence of a given gap between two consecutive prime numbers","description":"Problem statement \r\n\r\nGiven a gap = p' - p between the two consecutive prime numbers p and p', find its first occurence, f.\r\n\r\nExamples\r\n\r\nIf , f=2, since 5 - 3 = 2, and 3 is the 2nd prime;\r\nIf , f=4, since 11 - 7 = 4, and 7 is the 4th prime;\r\nIf , f=9, since 29 - 23 = 6, and 23 is the 9th prime;\r\nIf neither equals an even positive integer nor equals 1 your function should return the empty set : f = []; \r\n\r\nSee also\r\nProblem 60939. Frequencies of prime gaps\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 403.3px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 201.65px; transform-origin: 408px 201.65px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; 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margin-top: 0px; perspective-origin: 142.367px 8px; transform-origin: 142.367px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e between the two consecutive prime numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.10833px 8px; transform-origin: 9.10833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep', \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.4417px 8px; transform-origin: 75.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003efind its first occurence, f.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; 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margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFAAAAAkCAYAAAAeor16AAAC70lEQVRoQ+1YPUgeQRDVXgmaSttYKKSwiQohbQRBLAIaxMIuSZFSiBYhpDCQlCmSCHYi0c4mEBELRclPk0JIiliYQisDwfTJe7ID67l7397Owbef7MHj7vtuZ2727dvZ2W1vy5eKgXaVdTZuywQqRZAJzAQqGVCaZwVmApUMKM1jFXiM774GXii/n4p5NwJ5AowD/SaoE9x3gUfAb1+gMQTehbOPwF+gMxUGFHHcgu0G0OPxwX4OAoeu9zEEfoKjYePsPu5riuBTMP2OIK4BK8CWCege7tNAh/ntFUtVAm/A4U+r1z/wPJACC5ExzMPuMTABfC344LQ+sJTJqfy2+J2qBFJtY8aJjE4rq5C5/LmLGNPHh7i/Mc/ruE9pCOSInAJLwB9gzjj7jPtIpAKaacbZxEWityQI6TObbAKjGgJfwpgyZkLlZU/lIfwuToFmklPnt/8ZZxTOg1gCORJHwL41CpzOk8ahc3Tq7EWTfNkKdKaq0BzIXPAK4OpEsnhx+f9idawPz86lPrDzVLikhUATZ7M6ZwNz3nuANaFzqocSyGTLvFdcce2SxinxCkykSKDMMu9CGUKgjILLibwTnq7jwVu1VyAzhaZSspWmpxACqTIWmr56j+qUKl6rwhSIkxjYb14s26K3cpLnFuDEt++1a6Wrsr1jOpkBXAX2hUFupEDmgDvAzQZT8wzvpbAuIzslhflioSCehpBHB2UESg4ImZb2AhCrwhQWkUrkNSLwHRpwQ+09ibCG0K6X+HfM9q7ZBIaQx35eyIc+BUrhvAqDS9W3R/t2Yd1qhwxypDWLvkmdW+wmOdkDbtsk+gjkKcUiwALyV2Di4koth5GxKgz8VK3NSN428AFY9njuwv/PgJ2ioHwE2qVJbLStcMgg5MkCWNZX5nZ7J3be1kWgXZbEkid2dW6rtLEU7blIfgNCyKOtMy01KmPqDvrK+csEKoc0E5gJVDKgNM8KzAQqGVCaZwVmApUMKM2zApUE/gdVDoAl3uI4wAAAAABJRU5ErkJggg==\" width=\"40\" height=\"18\" style=\"width: 40px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, f\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 7.98333px 8px; transform-origin: 7.98333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e=2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 90.0333px 8px; transform-origin: 90.0333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, since 5 - 3 = 2, and 3 is the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 12.4417px 8px; transform-origin: 12.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e2nd\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.3917px 8px; transform-origin: 21.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e prime;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"18\" style=\"width: 40px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, f\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 7.98333px 8px; transform-origin: 7.98333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e=4\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 93.4083px 8px; transform-origin: 93.4083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, since 11 - 7 = 4, and 7 is the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 10.5px 8px; transform-origin: 10.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e4th\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.3917px 8px; transform-origin: 21.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e prime;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"18\" style=\"width: 40px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, f\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 7.98333px 8px; transform-origin: 7.98333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e=9\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 101.708px 8px; transform-origin: 101.708px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, since 29 - 23 = 6, and 23 is the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 10.5px 8px; transform-origin: 10.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e9th\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.3917px 8px; transform-origin: 21.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e prime;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003eΔ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 158.333px 8px; transform-origin: 158.333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e neither equals an even positive integer nor equals \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.625px 8px; transform-origin: 132.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eyour function should return the empty set : \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.975px 8px; transform-origin: 14.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ef = []\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e; \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60939-frequencies-of-prime-gaps\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 60939. Frequencies of prime gaps\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function f = first_occurence_of_prime_gap(delta)\r\n f = delta;\r\nend","test_suite":"%%\r\ndelta = 2;\r\nf_correct = 2;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 4;\r\nf_correct = 4;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 6;\r\nf_correct = 9;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 8;\r\nf_correct = 24;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 14;\r\nf_correct = 30;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 10;\r\nf_correct = 34;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 12;\r\nf_correct = 46;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 1;\r\nf_correct = 1;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 3;\r\nf_correct = [];\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = -1 +1i*pi;\r\nf_correct = [];\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('first_occurence_of_prime_gap.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T06:47:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":"2025-07-09T05:56:06.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-25T12:22:19.000Z","updated_at":"2026-03-30T01:19:31.000Z","published_at":"2025-06-25T13:06:05.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a gap \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e= p' - p\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e between the two consecutive prime numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep', \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003efind its first occurence, f.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta = 2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, f\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e=2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, since 5 - 3 = 2, and 3 is the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2nd\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e prime;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta = 4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, f\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e=4\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, since 11 - 7 = 4, and 7 is the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e4th\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e prime;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta = 6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, f\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e=9\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, since 29 - 23 = 6, and 23 is the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e9th\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e prime;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e neither equals an even positive integer nor equals \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyour function should return the empty set : \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = []\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e; \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60939-frequencies-of-prime-gaps\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 60939. Frequencies of prime gaps\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60949,"title":"Check the integers additive decomposition conjecture","description":"Problem statement\r\n\r\nA conjecture (I rediscovered ?) related to Goldbach's one states that every integer above 2 can be written as the sum of at maximum two prime numbers and the number 1. The goal of this problem is to check this decomposition. Given a positive integer n as an input, your algorithm will return a vector of two primes, [p1, p2], plus potentially the number 1, [1, p1, p2], such that either n = p1 + p2 (case where n is an even number) or n = 1 + p1 + p2 (case where n is an odd number). This p vector will be sorted in ascending order : 1 \u003c p1 \u003c p2 \u003c n. For n = 1 or n = 2 your algorithm should simply return n.\r\n\r\nExamples (check the tests below for more)\r\n\r\nn = 3 =\u003e p = [1, 2] ;\r\nn = 7 =\u003e p = [2, 5] ;\r\nn = 17 =\u003e p = [1, 3, 13] ;\r\nn = 20 =\u003e p = [1; 19] ; % p1 may not be prime in this case\r\nn = 23 =\u003e p = [1, 3, 19] ;\r\nn = 60 =\u003e p = [1, 59] ; % p1 may not be prime in this case\r\nn = 1 =\u003e p = 1 ;\r\nn = 2 =\u003e p = 2;\r\n\r\nTips\r\n\r\nEven if maybe not unique, there is always a solution. If you find a case withouit, at least you will have proven the conjecture to be false ! A simple way to start is to begin with seeking p2, the greater prime before n (even when n is prime itself. Then if the difference between n and this number is a prime number, you just have found p1. Else, add 1 and it should complete the sum.\r\n\r\nForbidden functions\r\n\r\nregexp\r\nstr2num\r\nassignin\r\necho\r\n\r\nSee also\r\n\r\nProblem 60939. Frequencies of prime gaps\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 956.067px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 478.033px; transform-origin: 408px 478.033px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 52.5px; text-align: left; transform-origin: 385px 52.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 212.925px 8px; transform-origin: 212.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA conjecture (I rediscovered ?) related to Goldbach's one states that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.675px 8px; transform-origin: 67.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eevery integer above \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e2 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.0417px 8px; transform-origin: 96.0417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ecan be written as the sum of at maximum two prime numbers and the number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 201.867px 8px; transform-origin: 201.867px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e The goal of this problem is to check this decomposition. Given a positive integer n as an input, your algorithm will return a vector of two primes, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.275px 8px; transform-origin: 25.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[p1, p2],\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87.525px 8px; transform-origin: 87.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e plus potentially the number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7083px 8px; transform-origin: 28.7083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, [1, p1, p2], \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.3333px 8px; transform-origin: 30.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esuch that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eeither \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.5583px 8px; transform-origin: 36.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = p1 + p2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0667px 8px; transform-origin: 40.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(case where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.6667px 8px; transform-origin: 18.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is an \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.95px 8px; transform-origin: 15.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eeven\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.95px 8px; transform-origin: 29.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e number) \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7px 8px; transform-origin: 7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eor\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.3667px 8px; transform-origin: 50.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 1 + p1 + p2 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0667px 8px; transform-origin: 40.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(case where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 62.2333px 8px; transform-origin: 62.2333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is an odd number). This \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 129.142px 8px; transform-origin: 129.142px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e vector will be sorted in ascending order : \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 52.3083px 8px; transform-origin: 52.3083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e1 \u0026lt; p1 \u0026lt; p2 \u0026lt; n. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.5px 8px; transform-origin: 10.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 43.5667px 8px; transform-origin: 43.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e n = 1 or n = 2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 112.808px 8px; transform-origin: 112.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e your algorithm should simply return \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6167px 8px; transform-origin: 34.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.5667px 8px; transform-origin: 99.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(check the tests below for more)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 163.467px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 81.7333px; transform-origin: 392px 81.7333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 3 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 34.8px 8px; transform-origin: 34.8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e p = [1, 2] ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 7 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 34.8px 8px; transform-origin: 34.8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e p = [2, 5] ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.975px 8px; transform-origin: 21.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 17 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 46.4667px 8px; transform-origin: 46.4667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e p = [1, 3, 13] ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 71.1833px 8px; transform-origin: 71.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 20 =\u0026gt; p = [1; 19] ; \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 108.908px 8px; transform-origin: 108.908px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e% p1 may not be prime in this case\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.975px 8px; transform-origin: 21.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 23 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 46.4667px 8px; transform-origin: 46.4667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e p = [1, 3, 19] ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.975px 8px; transform-origin: 21.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 60 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 40.6333px 8px; transform-origin: 40.6333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e p = [1, 59] ; \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 108.908px 8px; transform-origin: 108.908px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e% p1 may not be prime in this case\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 1 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 22.3583px 8px; transform-origin: 22.3583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e p = 1 ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 2 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 20.4167px 8px; transform-origin: 20.4167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e p = 2;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.2583px 8px; transform-origin: 14.2583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTips\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 42px; text-align: left; transform-origin: 385px 42px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 383.133px 8px; transform-origin: 383.133px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEven if maybe not unique, there is always a solution. If you find a case withouit, at least you will have proven the conjecture to be false ! A simple way to start is to begin with seeking \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.9px 8px; transform-origin: 80.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the greater prime before \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0667px 8px; transform-origin: 40.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (even when \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 69.5583px 8px; transform-origin: 69.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is prime itself. Then if the difference between \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 172.317px 8px; transform-origin: 172.317px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand this number is a prime number, you just have found\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.6083px 8px; transform-origin: 13.6083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e p1. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.175px 8px; transform-origin: 29.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eElse, add\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 85.575px 8px; transform-origin: 85.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and it should complete the sum.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.6417px 8px; transform-origin: 67.6417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630/problems/60939\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 60939. Frequencies of prime gaps\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [p] = integer_as_primes_sum(n)\r\n\r\n p = n;\r\n \r\nend","test_suite":"%%\r\nn = 1;\r\np_correct = 1;\r\nassert(isequal(integer_as_primes_sum(n),p_correct))\r\n\r\n%%\r\nn = 2;\r\np_correct = 2;\r\nassert(isequal(integer_as_primes_sum(n),p_correct))\r\n\r\n%%\r\nn = 3;\r\np_correct = [1 2];\r\nassert(isequal(integer_as_primes_sum(n),p_correct))\r\n\r\n%%\r\nn = 4;\r\np = integer_as_primes_sum(n);\r\nassert(sum(p) == n \u0026 all(p \u003e 0) \u0026 isequal(floor(p),p) \u0026 numel(find(p == 1)) \u003c 2 \u0026 all(isprime(setdiff(p,1))))\r\n\r\n%%\r\nn = 5;\r\np = integer_as_primes_sum(n);\r\nassert(sum(p) == n \u0026 all(p \u003e 0) \u0026 isequal(floor(p),p) \u0026 numel(find(p == 1)) \u003c 2 \u0026 all(isprime(setdiff(p,1))))\r\n\r\n%%\r\nn = 7;\r\np = integer_as_primes_sum(n);\r\nassert(sum(p) == n \u0026 all(p \u003e 0) \u0026 isequal(floor(p),p) \u0026 numel(find(p == 1)) \u003c 2 \u0026 all(isprime(setdiff(p,1))))\r\n\r\n%%\r\nn = 17;\r\np = integer_as_primes_sum(n);\r\nassert(sum(p) == n \u0026 all(p \u003e 0) \u0026 isequal(floor(p),p) \u0026 numel(find(p == 1)) \u003c 2 \u0026 all(isprime(setdiff(p,1))))\r\n\r\n%%\r\nn = 23;\r\np = integer_as_primes_sum(n);\r\nassert(sum(p) == n \u0026 all(p \u003e 0) \u0026 isequal(floor(p),p) \u0026 numel(find(p == 1)) \u003c 2 \u0026 all(isprime(setdiff(p,1))))\r\n\r\n%%\r\nn = 37;\r\np = integer_as_primes_sum(n);\r\nassert(sum(p) == n \u0026 all(p \u003e 0) \u0026 isequal(floor(p),p) \u0026 numel(find(p == 1)) \u003c 2 \u0026 all(isprime(setdiff(p,1))))\r\n\r\n%%\r\nn = 47;\r\np = integer_as_primes_sum(n);\r\nassert(sum(p) == n \u0026 all(p \u003e 0) \u0026 isequal(floor(p),p) \u0026 numel(find(p == 1)) \u003c 2 \u0026 all(isprime(setdiff(p,1))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('integer_as_primes_sum.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":149128,"edited_by":149128,"edited_at":"2025-08-13T04:57:45.000Z","deleted_by":null,"deleted_at":null,"solvers_count":17,"test_suite_updated_at":"2025-08-13T04:57:45.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-28T06:09:43.000Z","updated_at":"2026-03-17T10:43:55.000Z","published_at":"2025-06-28T06:44:22.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA conjecture (I rediscovered ?) related to Goldbach's one states that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eevery integer above \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecan be written as the sum of at maximum two prime numbers and the number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e The goal of this problem is to check this decomposition. Given a positive integer n as an input, your algorithm will return a vector of two primes, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[p1, p2],\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e plus potentially the number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, [1, p1, p2], \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esuch that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eeither \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = p1 + p2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(case where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is an \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eeven\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e number) \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eor\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 1 + p1 + p2 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(case where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is an odd number). This \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e vector will be sorted in ascending order : \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1 \u0026lt; p1 \u0026lt; p2 \u0026lt; n. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eFor\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e n = 1 or n = 2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e your algorithm should simply return \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(check the tests below for more)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 3 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p = [1, 2] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 7 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p = [2, 5] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 17 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p = [1, 3, 13] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 20 =\u0026gt; p = [1; 19] ; \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e% p1 may not be prime in this case\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 23 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p = [1, 3, 19] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 60 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p = [1, 59] ; \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e% p1 may not be prime in this case\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 1 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p = 1 ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 2 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p = 2;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTips\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEven if maybe not unique, there is always a solution. If you find a case withouit, at least you will have proven the conjecture to be false ! A simple way to start is to begin with seeking \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, the greater prime before \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (even when \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is prime itself. Then if the difference between \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand this number is a prime number, you just have found\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p1. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eElse, add\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and it should complete the sum.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630/problems/60939\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 60939. Frequencies of prime gaps\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60944,"title":"Ulam primes first formula","description":"Historical context\r\n\r\n\r\nThe polish-american mathematician Stanislaw Ulam found the formula to give the first 760 prime numbers not given by Euler's formula. \r\n\r\n\r\nProblem statement\r\n\r\nFor a given integer m, m \u003e= 1847, list the Ulam prime numbers less or equal to m in a vector up. Also compute their frequency / ratio f compare to all the primes in the same range. If m is not a positive integer greater or equal to 1847, your function should return up = [] and f = 0.\r\n\r\nExamples\r\n\r\nIf m = 1847 then up = 1847 and f = 1 since 1847 = P(0) and it is the only prime number m greater or equal and less or equal to 1847;\r\nIf m = 3000 then up = [1847, 2203, 2393, 2591, 2797] and f = 5/148 since 1847 = P(0), 2203 = P(2), 2393 = P(3), 2591 = P(4), 2797 = P(5), and there are in total 30 prime numbers in the range [1847; 3000] ; \r\nIf m = 1823 then up = [] and f = 0;\r\n\r\n\r\nTip \r\n\r\nn is less or equal to 2000 here.\r\n\r\n\r\nFobidden functions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\n\r\n\r\nSee also\r\nUlam primes second formula\r\nEuler primes\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1069.47px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 534.733px; transform-origin: 408px 534.733px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 219.4px 8px; transform-origin: 219.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe polish-american mathematician Stanislaw Ulam found the formula \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"170\" height=\"19.5\" style=\"width: 170px; height: 19.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63px 8px; transform-origin: 63px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to give the first 760 prime numbers not given by Euler's formula. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 60.2917px 8px; transform-origin: 60.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.225px 8px; transform-origin: 6.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 33.8583px 8px; transform-origin: 33.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em \u0026gt;= 1847\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 138.475px 8px; transform-origin: 138.475px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003elist the Ulam prime numbers less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a vector u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.7833px 8px; transform-origin: 63.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Also compute their frequency / ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ef \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 286.658px 8px; transform-origin: 286.658px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ecompare to all the primes in the same range. If m is not a positive integer greater or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5667px 8px; transform-origin: 15.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1847\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eyour function should return\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.075px 8px; transform-origin: 25.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e up = [] \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e f = 0.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.167px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 51.0833px; transform-origin: 392px 51.0833px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 29.7667px 8px; transform-origin: 29.7667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 1847\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 6.21667px 8px; transform-origin: 6.21667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 27.8167px 8px; transform-origin: 27.8167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = 1847\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.1417px 8px; transform-origin: 16.1417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 1 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 33.85px 8px; transform-origin: 33.85px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince 1847\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.2px 8px; transform-origin: 21.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e = P(0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 99.575px 8px; transform-origin: 99.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and it is the only prime number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 81.3px 8px; transform-origin: 81.3px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e greater or equal and less or equal to 1847\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 2.33333px 8px; transform-origin: 2.33333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 29.7667px 8px; transform-origin: 29.7667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 3000\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 6.21667px 8px; transform-origin: 6.21667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 110.283px 8px; transform-origin: 110.283px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [1847, 2203, 2393, 2591, 2797]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 29.7583px 8px; transform-origin: 29.7583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 5/148 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 121.95px 8px; transform-origin: 121.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1847 = P(0), 2203 = P(2), 2393 = P(3), 2591 = P(4), 2797 = P(5), \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 73.9083px 8px; transform-origin: 73.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand there are in total 30\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 85.5833px 8px; transform-origin: 85.5833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprime numbers in the range\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 46.6667px 8px; transform-origin: 46.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e [1847; 3000] ; \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 31.7083px 8px; transform-origin: 31.7083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 1823 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 19.45px 8px; transform-origin: 19.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.9167px 8px; transform-origin: 16.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = []\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14.2px 8px; transform-origin: 14.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 91.8px 8px; transform-origin: 91.8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is less or equal to 2000 here.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.9167px 8px; transform-origin: 64.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFobidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630/problems/60943-ulam-primes-second-formula/\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eUlam primes second formula\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60942-euler-primes\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eEuler primes\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [up,f] = ulam_primes1(m)\r\n up = m;\r\n f = 1;\r\nend","test_suite":"%%\r\nm = 1847;\r\nup_correct = 1847;\r\nf_correct = 1;\r\n[up,f] = ulam_primes1(m);\r\nassert(isequal([up,f],[up_correct,f_correct]));\r\n\r\n%%\r\nm = 3000;\r\nup_correct = [1847, 2203, 2393, 2591, 2797];\r\nf_correct = 5/148;\r\n[up,f] = ulam_primes1(m);\r\nassert(isequal([up,f],[up_correct,f_correct]));\r\n\r\n%%\r\nm = 1823;\r\nup_correct = [];\r\nf_correct = 0;\r\n[up,f] = ulam_primes1(m);\r\nassert(isequal([up,f],[up_correct,f_correct]));\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('ulam_primes1.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:08:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":"2025-07-09T05:56:57.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-26T19:59:43.000Z","updated_at":"2026-03-17T10:54:41.000Z","published_at":"2025-06-26T20:23:34.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe polish-american mathematician Stanislaw Ulam found the formula \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\mathbf{P(n) = 4n^2 + 170n + 1847}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to give the first 760 prime numbers not given by Euler's formula. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em \u0026gt;= 1847\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003elist the Ulam prime numbers less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in a vector u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Also compute their frequency / ratio \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ecompare to all the primes in the same range. If m is not a positive integer greater or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1847\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyour function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e up = [] \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 1847\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 1847\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 1 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince 1847\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e = P(0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and it is the only prime number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e greater or equal and less or equal to 1847\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 3000\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [1847, 2203, 2393, 2591, 2797]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 5/148 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1847 = P(0), 2203 = P(2), 2393 = P(3), 2591 = P(4), 2797 = P(5), \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand there are in total 30\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprime numbers in the range\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e [1847; 3000] ; \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 1823 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = []\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is less or equal to 2000 here.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFobidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle 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Given the factory generates operates on a 6-day work week and two 8-hour long shifts per day, find the total earnings.\u003c/p\u003e","function_template":"function earn = earnings(rate, price)\r\n earn= (); % use your basic knowledge of matrix multiplication\r\nend","test_suite":"%%\r\nrate = [2,5,4];\r\nprice = [8,3,1];\r\ny_correct = 3360;\r\nassert(isequal(earnings(rate,price),3360))\r\n%%\r\nrate = [1,4];\r\nprice = [2,1];\r\ny_correct = 576;\r\nassert(isequal(earnings(rate,price),576))\r\n%%\r\nrate = [6 6 2 3 2 8];\r\nprice = [3 2 4 8 9 5];\r\ny_correct = 11520;\r\nassert(isequal(earnings(rate,price),11520))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":171559,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":57,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-03-31T09:16:35.000Z","updated_at":"2026-02-11T11:25:03.000Z","published_at":"2018-03-31T09:16:35.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row vector, prods contains the number of various products manufactured per hour. The second row vector, prices holds values for the corresponding item prices they sell the given product for. 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So for example with 2 games between team A and B, we can have different outcomes:\r\n\r\nA win(1), A loss(-1), A draw(0) for first game and A win(1), A loss(-1), A draw(0) for the next game. Outcomes are like this:\r\n\r\n 1 1\r\n 1 0\r\n 1 -1\r\n 0 1\r\n 0 0\r\n 0 -1\r\n -1 1\r\n -1 0\r\n -1 -1\r\n","description_html":"\u003cp\u003eHow many different outcomes are there in a soccer-TOTO with n games?\u003c/p\u003e\u003cp\u003eFor each game there are three results: win - loss - equal. So for example with 2 games between team A and B, we can have different outcomes:\u003c/p\u003e\u003cp\u003eA win(1), A loss(-1), A draw(0) for first game and A win(1), A loss(-1), A draw(0) for the next game. Outcomes are like this:\u003c/p\u003e\u003cpre\u003e 1 1\r\n 1 0\r\n 1 -1\r\n 0 1\r\n 0 0\r\n 0 -1\r\n -1 1\r\n -1 0\r\n -1 -1\u003c/pre\u003e","function_template":"function y = your_fcn_name(n)\r\n y = n;\r\nend","test_suite":"%%\r\nn = 5;\r\ny_correct = 243;\r\nassert(isequal(your_fcn_name(n),y_correct))\r\n\r\n\r\n%%\r\nn = 9;\r\ny_correct = 19683;\r\nassert(isequal(your_fcn_name(n),y_correct))\r\n\r\n\r\n%%\r\nn = 12;\r\ny_correct = 531441;\r\nassert(isequal(your_fcn_name(n),y_correct))\r\n\r\n%%\r\nn = 3;\r\ny_correct = 27;\r\nassert(isequal(your_fcn_name(n),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":4320,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":85,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2012-06-13T08:25:53.000Z","updated_at":"2026-04-04T13:37:21.000Z","published_at":"2012-06-13T08:25:53.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHow many different outcomes are there in a soccer-TOTO with n games?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor each game there are three results: win - loss - equal. 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Second input is i, a single index (positive integer). The goal of this function is to find and return the indices of the rows in the list which contain this particular index. Output format is indifferently a column or a row vector.\r\nFor example if inputs are\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 2;...\r\n 2 3 4]\r\nand\r\ni = 2\r\nthe output is the vector\r\nrow_idx = [1 3 4]\r\nsince 2 is contained in rows number 1, 3, and 4 of T. If the index is not in the list, the function must of course return the empty set. Each index is at most contained once per row / triplet.\r\n\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 479.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 239.8px; transform-origin: 408px 239.8px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.725px 8px; transform-origin: 375.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFirst input is T, a triplet list of indices. 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Output format is indifferently a column or a row vector.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.0167px 8px; transform-origin: 77.0167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example if inputs are\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 40.8667px; transform-origin: 405px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003eT = [1 2 3;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 1 3 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 1 4 2;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 8.5px; tab-size: 4; transform-origin: 42.35px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 3 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 19.25px 8.5px; tab-size: 4; transform-origin: 19.25px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ei = 2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 70.7833px 8px; transform-origin: 70.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe output is the vector\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003erow_idx = [1 3 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 367.533px 8px; transform-origin: 367.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince 2 is contained in rows number 1, 3, and 4 of T. If the index is not in the list, the function must of course return the empty set. Each index is at most contained once per row / triplet.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function row_idx = find_common_vertex(T,i)\r\n row_idx = i;\r\nend","test_suite":"%% Tetrahedron\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 2;...\r\n 2 3 4];\r\n\r\ni = 2;\r\n\r\nrow_idx = [1 3 4];\r\n\r\nassert(isequal(find_common_vertex(T,i),row_idx) || isequal(find_common_vertex(T,i),row_idx'))\r\n\r\n%% Octahedron\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 5;...\r\n 1 5 2;...\r\n 6 3 2;...\r\n 6 4 3;...\r\n 6 5 4;...\r\n 6 2 5];\r\n\r\ni = 4;\r\n\r\nrow_idx = [2 3 6 7];\r\n\r\nassert(isequal(find_common_vertex(T,i),row_idx) || isequal(find_common_vertex(T,i),row_idx'))\r\n\r\n%% Triangulated cube\r\nT = [1 2 4;...\r\n 2 3 4;...\r\n 5 6 8;...\r\n 6 7 8;...\r\n 1 2 5;...\r\n 2 5 6;...\r\n 2 3 6;...\r\n 3 6 7;...\r\n 3 4 7;...\r\n 4 7 8;...\r\n 4 1 8;...\r\n 1 8 5];\r\n\r\ni = 6;\r\n\r\nrow_idx = [3 4 6 7 8];\r\n\r\nassert(isequal(find_common_vertex(T,i),row_idx) || isequal(find_common_vertex(T,i),row_idx'))\r\n\r\n%% Empty set test\r\nT = [2 3 5;...\r\n 3 5 7;...\r\n 5 7 11;...\r\n 7 11 13];\r\n\r\ni = 8;\r\n\r\nassert(isempty(find_common_vertex(T,i)))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('find_common_vertex.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:50:48.000Z","deleted_by":null,"deleted_at":null,"solvers_count":43,"test_suite_updated_at":"2025-07-09T05:47:27.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-12-01T16:22:33.000Z","updated_at":"2026-03-02T14:28:36.000Z","published_at":"2019-12-01T16:58:33.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFirst input is T, a triplet list of indices. Second input is i, a single index (positive integer). The goal of this function is to find and return the indices of the rows in the list which contain this particular index. Output format is indifferently a column or a row vector.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example if inputs are\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1 2 3;...\\n 1 3 4;...\\n 1 4 2;...\\n 2 3 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[i = 2]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethe output is the vector\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[row_idx = [1 3 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince 2 is contained in rows number 1, 3, and 4 of T. If the index is not in the list, the function must of course return the empty set. Each index is at most contained once per row / triplet.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44659,"title":"Nth root of a number","description":"Given an input and a number N, find the Nth root of the number(s)","description_html":"\u003cp\u003eGiven an input and a number N, find the Nth root of the number(s)\u003c/p\u003e","function_template":"function y = rootN(a,N)\r\n y = x;\r\nend","test_suite":"%%\r\na = 1;\r\nN = 100\r\ny_correct = 1;\r\nassert(isequal(rootN(a,N),y_correct))\r\n\r\n%%\r\na = [1 64 216];\r\nN = 3\r\ny_correct = [1 4 6];\r\nassert(isequal(rootN(a,N),y_correct))\r\n\r\n%%\r\na = 1/100;\r\nN = 2\r\ny_correct = 1/10;\r\nassert(isequal(rootN(a,N),y_correct))\r\n\r\n%%\r\na = 826^10;\r\nN = 10\r\ny_correct = 826;\r\nassert(isequal(rootN(a,N),y_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":171559,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":59,"test_suite_updated_at":"2018-05-29T13:54:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2018-05-29T13:48:03.000Z","updated_at":"2026-02-20T14:32:58.000Z","published_at":"2018-05-29T13:48:03.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an input and a number N, find the Nth root of the number(s)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":758,"title":"arrangement of symbols","description":"There are n different symbols in which m symbols are identical (m\u003cn). How many different arrangement can we make with these symbols?","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 381.5px 8px; transform-origin: 381.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThere are n different symbols in which m symbols are identical (m\u0026lt;n). How many different arrangement can we make with these symbols?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(m,n)\r\n y = n-m;\r\nend","test_suite":"%%\r\nn = 10;\r\nm=2;\r\ny_correct = 1814400;\r\nassert(isequal(your_fcn_name(m,n),y_correct))\r\n\r\n%%\r\nn = 4;\r\nm=3;\r\ny_correct = 4;\r\nassert(isequal(your_fcn_name(m,n),y_correct))\r\n\r\n%%\r\nn = 7;\r\nm=6;\r\ny_correct = 7;\r\nassert(isequal(your_fcn_name(m,n),y_correct))\r\n\r\n%%\r\nn = randi([10 15]);\r\nm=n-2;\r\ny_correct = n*(n-1);\r\nassert(isequal(your_fcn_name(m,n),y_correct))\r\n\r\n%%\r\nn = 10;\r\nm=5;\r\ny_correct = 30240;\r\nassert(isequal(your_fcn_name(m,n),y_correct))\r\n\r\n%%\r\nn = 4;\r\nm=1;\r\ny_correct = 24;\r\nassert(isequal(your_fcn_name(m,n),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":4320,"edited_by":223089,"edited_at":"2023-02-20T14:58:55.000Z","deleted_by":null,"deleted_at":null,"solvers_count":60,"test_suite_updated_at":"2023-02-20T14:58:55.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-06-12T15:39:43.000Z","updated_at":"2026-03-02T15:10:24.000Z","published_at":"2012-06-12T15:39:43.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThere are n different symbols in which m symbols are identical (m\u0026lt;n). How many different arrangement can we make with these symbols?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44635,"title":"Repetition of matrices","description":"*A is a bold matrix: [1 2 3; 4 5 6;7 8 9]*\r\n\r\nGiven an integer 'n' , a matrix B exists such that has n copies of A in the row and column dimensions\r\n\r\nexample:\r\nfor n=2; B= [A A; A A]\r\n\r\nFor such a matrix B return the sum of all elements multiplied by the size of B i.e. \r\n\r\n C=sum (all elements of B) * size(B)\r\n\r\n* _Kindly note you will have to make the matrix A yourself_ *","description_html":"\u003cp\u003e\u003cb\u003eA is a bold matrix: [1 2 3; 4 5 6;7 8 9]\u003c/b\u003e\u003c/p\u003e\u003cp\u003eGiven an integer 'n' , a matrix B exists such that has n copies of A in the row and column dimensions\u003c/p\u003e\u003cp\u003eexample:\r\nfor n=2; B= [A A; A A]\u003c/p\u003e\u003cp\u003eFor such a matrix B return the sum of all elements multiplied by the size of B i.e.\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003eC=sum (all elements of B) * size(B)\r\n\u003c/pre\u003e\u003cul\u003e\u003cli\u003e\u003ci\u003eKindly note you will have to make the matrix A yourself\u003c/i\u003e *\u003c/li\u003e\u003c/ul\u003e","function_template":"function C = matrix_rep(n)\r\n y = x;\r\nend","test_suite":"%%\r\nn = 2;\r\nC_correct = [1080,1080];\r\nassert(isequal(matrix_rep(n),C_correct))\r\n\r\n%%\r\nn = 5;\r\nC_correct = [16875,16875];\r\nassert(isequal(matrix_rep(n),C_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":171559,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":58,"test_suite_updated_at":"2018-05-09T11:43:47.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2018-05-09T11:42:39.000Z","updated_at":"2026-03-05T11:04:40.000Z","published_at":"2018-05-09T11:42:39.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA is a bold matrix: [1 2 3; 4 5 6;7 8 9]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an integer 'n' , a matrix B exists such that has n copies of A in the row and column dimensions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eexample: for n=2; B= [A A; A A]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor such a matrix B return the sum of all elements multiplied by the size of B i.e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[C=sum (all elements of B) * size(B)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eKindly note you will have to make the matrix A yourself\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e *\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":60982,"title":"Mesh the square with triangles","description":"Problem statement\r\n\r\nAn square is a regular polygon with 4 vertices and 4 edges.\r\nA triangulated mesh T (stands for triangles here) -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh, that is to say give one triangulation T of, this square.To do so, you will list the triangles/rows in a matrix of triangles, T.The row order of the triangles in the list doesn't matter.\r\n\r\nExample\r\nThe first triangle here can be [1, 2, 3] if counterclockwise oriented.\r\n\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 995.233px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 497.617px; transform-origin: 408px 497.617px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 183.608px 8px; transform-origin: 183.608px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn square is a regular polygon with 4 vertices and 4 edges.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.1833px 8px; transform-origin: 64.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 176.983px 8px; transform-origin: 176.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.633px 8px; transform-origin: 132.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 192.275px 8px; transform-origin: 192.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh, that is to say give one triangulation \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 183.583px 8px; transform-origin: 183.583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of, this square.To do so, you will list the triangles/rows in a matrix of triangles, T.The row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.9583px 8px; transform-origin: 92.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.8583px 8px; transform-origin: 89.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; 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sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_square()\r\n T = 1;\r\nend","test_suite":"%% Test every possible solutions\r\nT_correct1 = [1 2 3;\r\n 3 4 1];\r\n\r\nT_correct2 = [2 3 4;\r\n 1 2 4];\r\n\r\nassert(isequal(sortrows(sort(mesh_the_square(),2)),sortrows(sort(T_correct1,2)))...\r\n | isequal(sortrows(sort(mesh_the_square(),2)),sortrows(sort(T_correct2,2))))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_square.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:45:03.000Z","deleted_by":null,"deleted_at":null,"solvers_count":34,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T16:29:27.000Z","updated_at":"2026-02-10T17:10:21.000Z","published_at":"2025-07-23T16:40:49.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn square is a regular polygon with 4 vertices and 4 edges.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh, that is to say give one triangulation \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e of, this square.To do so, you will list the triangles/rows in a matrix of triangles, T.The row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"335\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"447\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle 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p² = 24k + 1, p \u003e 3, the 'golden prime squares' equation","description":"Historical context\r\nIn december 2023, I / Nicolas Douillet was working on prime squares properties and I found* the formula :\r\n\r\n \r\n\r\nwhich I named the ‘Christmas eve equation'. From it I then wrote :\r\n\r\n\r\n\r\nand I named it the ‘golden prime squares equation’. These two formulas, which are actually the same one, can easily be proven starting from (note this last formula applies not only to prime numbers). \r\n \r\n* Apparently, I rediscovered it since I found it a posteriori on this excellent French math website : Site de Gérard Villemin\r\n \r\nProblem statement\r\nYour goal here is to check this formula for the first primes less or equal to a given integer m (input). To do so you will simply compute k in a vector. For the two first cases where the formula doesn’t apply -2 and 3- your function should return 0.\r\n \r\nExamples\r\n\r\nIf m = 20 then k = [0, 0, 1, 2, 5, 7, 12, 15], since 5^2 = 24x1 + 1, 7^2 = 24x2 + 1, 11^2 = 24x5 + 1, etc…\r\n\r\nIf m = 40 then k = [0, 0, 1, 2, 5, 7, 12, 15, 22, 35, 40, 57] ; \r\n \r\nFobidden functions\r\n \r\nregexp\r\nstr2num\r\nassignin\r\n \r\nSee also (my file exchange contributions using this equation) :\r\n\r\nIsprime optimus [FAST]\r\nPrime number spiral (my corresponding contribution on my file exchange)\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1019.47px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 509.733px; transform-origin: 408px 509.733px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 68.0583px 8px; transform-origin: 68.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn december 2023, I / \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/profile/authors/8668631?s_tid=user_nav_comm\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eNicolas Douillet\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 210.05px 8px; transform-origin: 210.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e was working on prime squares properties and I found* the formula :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"251\" height=\"19\" style=\"width: 251px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.025px 8px; transform-origin: 99.025px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.7333px 8px; transform-origin: 58.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhich I named the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 76.4167px 8px; transform-origin: 76.4167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e‘Christmas eve equation'\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 68.0417px 8px; transform-origin: 68.0417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. From it I then wrote :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAfIAAAAmCAYAAAA/SRldAAAQCElEQVR4Xu2da8h/2RTHZ96T26uRmIwXM7mWazQTcimRUC6Z9C8al5Lk0pA0aUIoyQuX0JPkVpJIuSQRuZZrvEB/Eq/c4j3rk9/Kmm2fs9feZ+9z+T3r1Grm+f/O2Wfv7957fddea+19rr0mrkAgEAgEAoFAIBA4LALXHrbmUfFAIBAIBAKBQCAQuCaIPAZBIBAIBAKBQCBwYASCyA/ceVH1QCAQCAQCgUAgiDzGQCAQCAQCgUAgcGAEgsgP3HlR9UAgEDgsAveWmt8u8kqRu4n8S+QDIm88bIui4pshEES+GfTx4kAgELjECHxP2v7YTPs/K//2gkuMSzS9AYEg8gbQ4pFAIBAIBBYg8Ap59t0ibxf5m8hbRa4z5T1I/v+3C8qPRy8ZAkHkl6zDz6C5j5Y2PFDkM2fQlt5NeNoJmw/2LjjK64rAr6S014h89VTqDfLf35g3vPBg45swwctFni3yYJF/ivxc5PMiLWMRPH4iQsgBg8eGG/4kf1ujB9jSe7p21oaFoeteL/IAkcfN1SMlcnX3fPjUMd42fEhuvE3k+6UXeguM+y41ApD08ycQIJb4CJEjr1gg3K9U9vCb5f53JM8w0e8UeahRbkd0zebweLq0SYmuBNW/5YYcPvocrurfifywVNAKv0N6j8q0zbraH7OTunrgYAx+wYy/9JkWTsDQufFUUI6kUzI/NyLHY3NFREMvRQxTIqcAEi7+LHJfTy+e7sECw3oicaPFAqt4Vdy6AgJYxFsRZbo6SZuLckfJH/nqReSKgc5b/j7iHFQ8qDuE+z6R+4mwEvmro6NLRM7vvxa5yVHWVrcoeaF7H+Js91Z11fdilPz+pPvn6lJDtO+Sgt5gCss9m+YX1JS/NWZT79fkx1vlhtTjUE3kFPaX05u8FjHW7qdFWCl5J95ewYx6/RcBJsr9RV4rsrYLm/c9TATXY+760UGUXK+xpEprbsVpld8R46tK5Kpz1LX6SwFx1qV4AjlH5GDy49P4BUMIB131JhHi0ntacFi9eyRDTD1neIHA9x4izxJJiYhu8oRxcwbuZSByvBofPwlYkTthr2oi52HbOZ7sydr7eym4KGccAta1zQphLULX1fjWygzF+h2RZ4ps5ZnQ3vUQOW56lODeV51TI1YVuPUEqpdhzoDR8lIitytFnr+XCCv9J4kQskExPkPEs9ofN8v+V7IaYhAiY38v9ZpruxpbT5abbMhC5466xrWM0sKQ535xutkaAnsjcms0l9rUOnZSj0MTkesKm0p4rCh1q+8lQYMBRnLEw0Vy2zty4B4pJtU6OGqfQ7m+zWC4BqHrJLnPDpSZZha/TOqytlfC9pWHyHUO1ua2eMcEWDxHxMbi556tDX/YlZiN8atBWZqfU651dNlzRW4W+YMIsVxW6d7YuxefJfexGvuByJFInPaSF3VVJM3b4LdceKxEehij3xQhYc7q7SByR+7ZFFFrMkGJnFtj6ksG/tyzmnRXW35JUdSWd0735wgdgu/tmkzjbRgO3xb56IaKV8f3lh6CEpErETDmSvO1dlyWEpmmymslcsiMFbPiras74uV3n6l8jsh59qkiEDmhGq5viXxEZA9Jb9RH2/ezU5t1JQ7ue6njFOylOtqENcqYI3LCHU883eOJf3vuqR3r3vsPsyKnQUqIKFMs2amLOCpukJqVAAOAAasuS6w3hLjVksFr3cG4Ii5EUAwj3FQoDnvhvsPSf6kI1j+YKBGt4SobhaltY0rovU+iSpNc7LvBEkt9yfjwTtT0vq1DRyUiRwlqTK2nJ4Mx9Q0Rklh1LL9nUB/oihyDmix8/tZYv9bju/JvU0mOOSJXLwVz83qRqyLsdlDXuif2nhszuYNc1PWJ4Wf3hPPv7xWZ8uiwCv27iNUR6MIviTxBZITuap0Htc+lOE2NTTUWNcHPQ9Jz98BdaZye8ftFEbbILb0OReTWyi81HIWexknsM0zK5yXgMrm+LvJ+EetGKZU1VRc1PHqTy9T7UBwYL58TYTISmyQmxErkYyIYJa8Toe0jtkutgelU20cROmPuKSLEM29JxoXWpfeKszS2+d2GmujntRVsicj1dxtHQ9kQWiL5iOtC5Gsi3ni/3cdLua8WGWlEWSKnjhor1Z0zpXh5jsgxcIiLQ6KsDln10peUxbXEo5QanWDEah9CJkGPvdQYQHrltgSqgciz9uJZb5Jf8uiu/rRbxOY8NPTNHad+ogFLiZwy1LWP7iUDfklfp6AeisipvLpGppJNdCXgTbCxbm9IEGWtHWiVJeDPudFSYG08Zq1tCFZx6Oo8xckm8NCemjZ5Z+QoTD3vH0Xo+u70LGr995as7NwqytPG3D2MTwzTteKsJSLX8ZeOfZv9X1tXJRlWMniYvAZAK6aWyDEYbNxYE241oS/X/6XtZ6zO/yhyU2sFk+fS7Gpw4gCUF4mwirbeDH3UGqHWi5KrUo2Hc86TVdtcT06Up8w0Rj4VukR/3VPEJlX3IHLGL8mMcwtMTzty9xyOyEtErRaXJ6sUQFQ5oAiZVGlGsI2p1MSsFVivQdHagfa5lMhzWYU62ZnAbM/z4lRTv1GY1tRhNKGrq1GzYFsOPOlJ5IrNUqOxtk658WMJxcYgWXWSoc0zLSSsxsFaHpCUyMFY9Y/WwWY1p2dclIgcYuXq5VXIbZNKXcc21Me7VT/ZRcvUPKvBfY9EbhcYU/MEDC9E0j3zS4mcccO4H0Hi9NfhiNxaVSmxqsVc4zZW4p96xnZgzUDW55Yq1hrySol8TsmCHcfskXDTa0WgdR2FaQ0WjBNitHoSG/37ZZGeuQE2Ea7WY1PTFs+91rBY4mrvQeQ2pKRnOEDiHGH7TpGWGKuS1JrnQuSInL5gFf54ET3JL7dS574SkXv6teaeHJFPHa5ly+214rVl0t9Xaio/c29r3oAt0oZlpoxunc85z9YSItcQTClDfglchyNynUgM2tTVY+M7ns63MfepzrUdWLMiTxPPWjqp5n2p4phSIlY5PVIe4sS8nhN5JKYeDFMC14So1lVg6Z3WHVnbX6Wya3+3B3iMdrXPudbVi6UeIeYlZ1TntgR529hjhdeatZ72q67C/yGVVyNYx4HdSbBHIs+R/UiC8fbv6Ps0BDLnOeOeqyK55LNWIicfAh3LVROaSPHoMf61zNb+TjHIeXzvUu8SsaiFk66CaveOWyU81Tgts3YlcAQiJ4GLwduTgEZiOjfZcwT+CXmgdQXoVSxzHiJvGb3us0Q+en/9FJHbOuCNIlOX8ENLDoHFpYci60Xk1EsNVquc03h5EHmvkb2sHOWLORJXAwdvFgZaeqWJgrpz6kJu1KS1lOg02diW1UqiPcb/7oicCqWkbcndeySrTjw6JXeOsF1d1ioBXZVYC33ZcCw/XetaH0HkIzHNIbAVgdu6qNHW0yAq9/Zd77CudSzlF4u0xKG9750icp2HaTlLViOUpTFce8qat66t90251rW8Urz8KES+5bht7Rvvc5rgR1gtdyKobjOmPHRX7WVDpymRqzfQfmipdkGo9SmFKnTLNfdPGSNaVutuj+4rciqkbnQlWCWQGoWhCnjKUrOJIbWDPa1f7QBpub+WyIlZchCF1/Dx1Gkkpvb9eyBwrQ9tbomR18ajS/hTh0+K9NiXWnrXFJHbREdijRci1zXik/a3flKzdi6W2jL1e4nIVfkTL9c5ZFfqt8m/j0gmLdXX/p56Nz1x9Fa87HM9V5AlD+1Ufe3BNlPHelNP3N9IbyKH5PEIsm2ROaBX7aLQ0x+HjJHTMDsgmdgcJ8jldV3Y53NJbDaRqSUj2WaBrqV4aomcYz7Zbtcr2W00pvRvSuBYnxzsT4JVSxKVZ5LM3aP93DJGehL5aFd6isEUkWuioyorq2CWkpp6uUYowlwfe4hc9YTdY92zzTXj00PS6RazYpyzpgLm3j0Qud2nnzYDPcJKmYRY9DMX54dMXS2udV2t5/pl6VxI63lYIqchqjRQYlg8NW432/Dc6T66wl+SAaz1W2sLWs32MwweDo5hIKdJSAy8lhPtRmNqywdTPivZ81CFFp0FoTHJ19zDTT2toYgyZn/qmoZMjshtvoAqKhszt/NAXZo1e8mt275mB0lLv/KMh8jtfTk36xKFrd8IJ0TiCZO0bD8bFforuYJr+sSTuJyWl26zm3qf15PWmuzG9zW47NY3/q7ZWeXB6tBEnlp9NVu91LrPkazdq77kS1N2Yq1B5rkDYVJMtE4YPVxz+yVrrfXRmDKZOBVsLQLX8cWkyxk8Siw1484zKT33qKKqCSV5yvXekyNyu9qzyW1WqSpx8PzcMaFT9bAKdTSZe4mcuupYUY+gGjCtRJ6e8e8ZYzkit56i9GTMmoWPd1zs4T4viVNXr45bSuS8Kz3nvScnbEHkxfp7YyJ2BVBzjOrUKsFOSBQk4Hgs4bnBa1cRI47ms+/Orcg5apbBeiFCHEiPaGUSXxFJV0Rptr1XWa6BKatQJulaV+7wjDvk5Xgr9Pz6ER9qKbWPMYVi733MY44ISnWxRDXlxUpJiTHHWd5Tccu5d6afo6SsV3WYp7l31hA5z6t3hpAVYwQ8Woncs7pO65x7hrlPIhTfprDu4Rp9WRoDe/p9Ktlyqo4eA0n7tvT1M/XA6rvScFvu0B3v+0sYjybyqePRZ8PGXiKnceme1VKD+T09p5rzjlEs14tcFen9JSJVvPacY089a2PruRg5H02BvPVTj1hRtHdqX3Xq5fAqorUx9eC39B49jvVWKUiTVVCAxEM5wxp32VJDr7aOjCU+gDHCgFhK5LqTJJcvYL9YhpHM6r01FEC/kIVsFasHx9rYei2RpwYLdfLOn1z901VgSR9MxciZ0zqGRxyM5MF+jXtqvsWh9fEuVEor8nS1reXrqlXnrU1603t6hDdGEDl4kjeAF/TGmQ7EWOT6vxBIDZG3DBC70ur5Zaa5ujDJySZOv2s790xp4qbPepLdavCiPG8dtsC0pi3ncK8SWOv2kXPAwLYB4rJf9iu1r5bIS+Wt9TvtJJ+l9F0ET7LbWnWO96yLwAgiX9yC0US+dhLaYkCcBfQkcpQCsWhvRvsamPbI8vYaJk7I47ZAYDgCKGlWRaVthUHkw7tity+wyYW7MfRHErmNq2+VKDRqNPQiclwqbOl6iYjngw5rYRpEPmrkRLl7RUAVtGdXQhD5XnvxktZrJJHbzFpvfOQo3dCDyCHxO0Xe4iRxsDlnTI/S91HP80MAEudrccRQPfkELQly54datGg3CIwkcpuUsPT8590AdqpIDyJvadM5Y9qCRzwTCKyNAPkTnxKBzO1F4qHXEFi7zvG+M0dgBJFrYgxHKerF4fg/FdFN+0eHNd06tiRj1oPFZcDUg0PcEwhsjQBhp7lrN3HTrYGK96+HwAgiX6/2270ptca9J0JtV+N4cyAQCAQCgcBZIhBEfpbdGo0KBAKBQCAQuCwIBJFflp6OdgYCgUAgEAicJQL/AehfAHJW3tGrAAAAAElFTkSuQmCC\" width=\"249\" height=\"19\" style=\"width: 249px; height: 19px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57.95px 8px; transform-origin: 57.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand I named it the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.2167px 8px; transform-origin: 99.2167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e‘golden prime squares equation’\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 215.483px 8px; transform-origin: 215.483px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. These two formulas, which are actually the same one, can easily be proven starting from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"111.5\" height=\"18\" style=\"width: 111.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 182.033px 8px; transform-origin: 182.033px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (note this last formula applies not only to prime numbers). \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 299.367px 8px; transform-origin: 299.367px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e* Apparently, I rediscovered it since I found it a posteriori on this excellent French math website : \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"/#null\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eSite de Gérard Villemin\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 233.5px 8px; transform-origin: 233.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour goal here is to check this formula for the first primes less or equal to a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 45.4917px 8px; transform-origin: 45.4917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003egiven integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.16667px 8px; transform-origin: 8.16667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 97.8417px 8px; transform-origin: 97.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(input). To do so you will simply compute \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.5px 8px; transform-origin: 3.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ek\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 211.575px 8px; transform-origin: 211.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a vector. For the two first cases where the formula doesn’t apply -\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e3\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.9083px 8px; transform-origin: 94.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e- your function should return 0.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.9833px 8px; transform-origin: 21.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 20\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 82.6333px 8px; transform-origin: 82.6333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ek = [0, 0, 1, 2, 5, 7, 12, 15]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e5\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 26.4333px 8px; transform-origin: 26.4333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e^2 = 24x\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 46.075px 8px; transform-origin: 46.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e + 1, 7^2 = 24x\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.75px 8px; transform-origin: 15.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e + 1, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 7.4px 8px; transform-origin: 7.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e11\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 26.4333px 8px; transform-origin: 26.4333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e^2 = 24x\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e5\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 32.0833px 8px; transform-origin: 32.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e + 1, etc…\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.9833px 8px; transform-origin: 21.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 40\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 133.575px 8px; transform-origin: 133.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ek = [0, 0, 1, 2, 5, 7, 12, 15, 22, 35, 40, 57] ;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.9167px 8px; transform-origin: 64.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFobidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 161.05px 8px; transform-origin: 161.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(my file exchange contributions using this equation) \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/171714-isprime-optimus-fast?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-style: italic; \"\u003eIsprime optimus [FAST]\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/171709-prime-numbers-spiral?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime number spiral (my corresponding contribution on my file exchange)\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function k = golden_prime_squares(m)\r\n\r\n k = m;\r\n \r\nend","test_suite":"%%\r\nm = 4;\r\nk_correct = [0, 0];\r\nassert(isequal(golden_prime_squares(m),k_correct))\r\n\r\n%%\r\nm = 20;\r\nk_correct = [0, 0, 1, 2, 5, 7, 12, 15];\r\nassert(isequal(golden_prime_squares(m),k_correct))\r\n\r\n%%\r\nm = 40;\r\nk_correct = [0, 0, 1, 2, 5, 7, 12, 15, 22, 35, 40, 57];\r\nassert(isequal(golden_prime_squares(m),k_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('golden_prime_squares.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T06:55:57.000Z","deleted_by":null,"deleted_at":null,"solvers_count":22,"test_suite_updated_at":"2025-07-09T05:55:18.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-27T16:53:40.000Z","updated_at":"2026-03-11T11:59:56.000Z","published_at":"2025-06-27T17:08:17.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn december 2023, I / \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/profile/authors/8668631?s_tid=user_nav_comm\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eNicolas Douillet\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e was working on prime squares properties and I found* the formula :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\forall p \\\\in \\\\mathbb{p}, p \\\\geq 5 \\\\Rightarrow \\\\exists k \\\\in \\\\mathbb{N}, \\\\mathbf{p^2 = 24k + 25}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhich I named the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e‘Christmas eve equation'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. From it I then wrote :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\forall p \\\\in \\\\mathbb{p}, p \\\\geq 5 \\\\Rightarrow \\\\exists k \\\\in \\\\mathbb{N}^*, \\\\mathbf{p^2 = 24k + 1}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand I named it the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e‘golden prime squares equation’\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. These two formulas, which are actually the same one, can easily be proven starting from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep = 6n \\\\pm 1, p \\\\geq 5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (note this last formula applies not only to prime numbers). \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e* Apparently, I rediscovered it since I found it a posteriori on this excellent French math website : \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eSite de Gérard Villemin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour goal here is to check this formula for the first primes less or equal to a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003egiven integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(input). To do so you will simply compute \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in a vector. For the two first cases where the formula doesn’t apply -\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e- your function should return 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 20\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek = [0, 0, 1, 2, 5, 7, 12, 15]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e^2 = 24x\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e + 1, 7^2 = 24x\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e + 1, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e11\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e^2 = 24x\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e + 1, etc…\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 40\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek = [0, 0, 1, 2, 5, 7, 12, 15, 22, 35, 40, 57] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFobidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc 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w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(my file exchange contributions using this equation) \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/171714-isprime-optimus-fast?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIsprime optimus [FAST]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/171709-prime-numbers-spiral?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime number spiral (my corresponding contribution on my file exchange)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45220,"title":"Find triangles from edge","description":"First input is T, a Triplet list of indices -whom each row actually contains the three indices of a triangle vertices-. size(T) = [nb_triangles, 3]. Second input is e = [e1, e2], a row vector, couple of indices. Output S is the triplet list of indices which Share the edge e. For instance, if\r\ne = [2, 4]\r\nand T a tetrahedron\r\nT = [1, 2, 3;...\r\n 1, 3, 4;...\r\n 1, 2, 4;...\r\n 2, 3, 4]\r\nthen the output of the function is\r\nS = [1, 2, 4;...\r\n 2, 3, 4]\r\nsince both triangles [1, 2, 4] and [2, 3, 4] contain the edge [2, 4].\r\nConditions :\r\nIf the edge is not part of any triangle in the list, the function must of course return the empty set, [].\r\nEdges are symmetric : [e1, e2] is the same edge as [e2, e1]\r\nOrder of rows / edges in the output doesn't matter.\r\nTriangle indices are assumed always to be sorted in ascending order, T = [t1, t2, t3] with t1 \u003c t2 \u003c t3.\r\nEvery indices are positive, distinct integers.\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 572.2px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 286.1px; transform-origin: 408px 286.1px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 374.5px 8px; transform-origin: 374.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFirst input is T, a Triplet list of indices -whom each row actually contains the three indices of a triangle vertices-. size(T) = [nb_triangles, 3]. Second input is e = [e1, e2], a row vector, couple of indices. Output S is the triplet list of indices which Share the edge e. For instance, if\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 38.5px 8.5px; tab-size: 4; transform-origin: 38.5px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ee = [2, 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.4583px 8px; transform-origin: 61.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand T a tetrahedron\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 40.8667px; transform-origin: 405px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; 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border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 1, 3, 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 1, 2, 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 50.05px 8.5px; tab-size: 4; transform-origin: 50.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.5667px 8px; transform-origin: 99.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen the output of the function is\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 40.8667px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 20.4333px; transform-origin: 405px 20.4333px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003eS = [1, 2, 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 50.05px 8.5px; tab-size: 4; transform-origin: 50.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 197.567px 8px; transform-origin: 197.567px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince both triangles [1, 2, 4] and [2, 3, 4] contain the edge [2, 4].\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.8167px 8px; transform-origin: 40.8167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eConditions :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.167px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 51.0833px; transform-origin: 392px 51.0833px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 302.95px 8px; transform-origin: 302.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf the edge is not part of any triangle in the list, the function must of course return the empty set, [].\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 69.6167px 8px; transform-origin: 69.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEdges are symmetric :\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 118.233px 8px; transform-origin: 118.233px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e[e1, e2] is the same edge as [e2, e1]\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 167.692px 8px; transform-origin: 167.692px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eOrder of rows / edges in the output doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 330.342px 8px; transform-origin: 330.342px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTriangle indices are assumed always to be sorted in ascending order, T = [t1, t2, t3] with t1 \u0026lt; t2 \u0026lt; t3.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 17.8917px 8px; transform-origin: 17.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEvery\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 124.817px 8px; transform-origin: 124.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eindices are positive, distinct integers.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function S = find_triangles_from_edge(T,e)\r\n S = [];\r\nend","test_suite":"%% Tetrahedron\r\nT = [1, 2, 3;...\r\n 1, 3, 4;...\r\n 1, 2, 4;...\r\n 2, 3, 4];\r\n\r\ne = [2, 4];\r\n\r\nS = [1, 2, 4;...\r\n 2, 3, 4];\r\n\r\nassert(isequal(sortrows(find_triangles_from_edge(T,e)),S))\r\n\r\n%% Filled octahedron (two pyramids stuck together via their square bases)\r\nT = [1, 2, 3;...\r\n 1, 3, 4;...\r\n 1, 4, 5;...\r\n 1, 2, 5;...\r\n 2, 3, 6;...\r\n 3, 4, 6;...\r\n 4, 5, 6;...\r\n 2, 5, 6;...\r\n 2, 3, 4;...\r\n 2, 4, 5;...\r\n 1, 2, 4;...\r\n 2, 4, 6];\r\n\r\ne = [2, 4];\r\n\r\nS = [1, 2, 4;...\r\n 2, 3, 4;...\r\n 2, 4, 5;...\r\n 2, 4, 6];\r\n\r\nassert(isequal(sortrows(find_triangles_from_edge(T,e)),S))\r\n\r\n%% Triangulated cube\r\nT = [1, 2, 4;...\r\n 2, 3, 4;...\r\n 5, 6, 8;...\r\n 6, 7, 8;...\r\n 1, 2, 5;...\r\n 2, 5, 6;...\r\n 2, 3, 6;...\r\n 3, 6, 7;...\r\n 3, 4, 7;...\r\n 4, 7, 8;...\r\n 1, 4, 8;...\r\n 1, 5, 8];\r\n\r\ne = [3, 7];\r\n\r\nS = [3, 4, 7;...\r\n 3, 6, 7];\r\n\r\nassert(isequal(sortrows(find_triangles_from_edge(T,e)),S))\r\n\r\n%% Empty set test\r\nT = [2, 3, 5;...\r\n 3, 5, 7;...\r\n 5, 7, 11;...\r\n 7, 11, 13];\r\n\r\ne = [6, 8];\r\n\r\nassert(isempty(find_triangles_from_edge(T,e)))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('find_triangles_from_edge.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:51:41.000Z","deleted_by":null,"deleted_at":null,"solvers_count":37,"test_suite_updated_at":"2025-07-09T05:48:39.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-12-03T18:46:56.000Z","updated_at":"2025-12-18T17:15:46.000Z","published_at":"2019-12-03T20:30:58.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFirst input is T, a Triplet list of indices -whom each row actually contains the three indices of a triangle vertices-. size(T) = [nb_triangles, 3]. Second input is e = [e1, e2], a row vector, couple of indices. Output S is the triplet list of indices which Share the edge e. For instance, if\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[e = [2, 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand T a tetrahedron\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1, 2, 3;...\\n 1, 3, 4;...\\n 1, 2, 4;...\\n 2, 3, 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen the output of the function is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[S = [1, 2, 4;...\\n 2, 3, 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince both triangles [1, 2, 4] and [2, 3, 4] contain the edge [2, 4].\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eConditions :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf the edge is not part of any triangle in the list, the function must of course return the empty set, [].\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEdges are symmetric :\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[e1, e2] is the same edge as [e2, e1]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOrder of rows / edges in the output doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTriangle indices are assumed always to be sorted in ascending order, T = [t1, t2, t3] with t1 \u0026lt; t2 \u0026lt; t3.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEvery\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eindices are positive, distinct integers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60954,"title":"My wife's logic","description":"Its is always the opposite of the causality law, that is to say the opposite of the implication relationship in math/logic terms :\r\n\r\n\r\n\r\nFigure out what the result R is, function of given inputs A and B, logical variables in the combinations of their true / false states.\r\n\r\nForbidden functions\r\nregexp\r\nstr2num\r\nassignin\r\necho","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 313.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 156.867px; transform-origin: 408px 156.867px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378.45px 8px; transform-origin: 378.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIts is always the opposite of the causality law, that is to say the opposite of the implication relationship in math/logic terms :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"77\" height=\"20\" style=\"width: 77px; height: 20px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.9px 8px; transform-origin: 80.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFigure out what the result \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7px 8px; transform-origin: 7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eR \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.4583px 8px; transform-origin: 82.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis, function of given inputs \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eA\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.94167px 8px; transform-origin: 8.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eB, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 171.933px 8px; transform-origin: 171.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003elogical variables in the combinations of their true / false states.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.6417px 8px; transform-origin: 67.6417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = my_wife_logic(a,b)\r\n r = false;\r\nend","test_suite":"%%\r\na = false;\r\nb = false;\r\nr_correct = false;\r\nassert(isequal(my_wife_logic(a,b),r_correct))\r\n\r\n%%\r\na = false;\r\nb = true;\r\nr_correct = false;\r\nassert(isequal(my_wife_logic(a,b),r_correct))\r\n\r\n%%\r\na = true;\r\nb = false;\r\nr_correct = true;\r\nassert(isequal(my_wife_logic(a,b),r_correct))\r\n\r\n%%\r\na = true;\r\nb = true;\r\nr_correct = false;\r\nassert(isequal(my_wife_logic(a,b),r_correct))\r\n\r\n%% Test forbidden functions\r\nfiletext = fileread('my_wife_logic.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-10T12:21:44.000Z","deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":"2025-07-08T13:27:36.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-05T18:47:42.000Z","updated_at":"2026-03-17T12:09:04.000Z","published_at":"2025-07-05T19:03:39.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIts is always the opposite of the causality law, that is to say the opposite of the implication relationship in math/logic terms :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\mathbf{R = \\\\overline{A \\\\Rightarrow B}}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFigure out what the result \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eR \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eis, function of given inputs \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eB, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003elogical variables in the combinations of their true / false states.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId 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w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":759,"title":"mathematics , probability problem","description":"How many different result can we have, rolling k dice?\r\n","description_html":"\u003cp\u003eHow many different result can we have, rolling k dice?\u003c/p\u003e","function_template":"function y = your_fcn_name(k)\r\n y = k;\r\nend","test_suite":"%%\r\nk = 2;\r\ny_correct = 21;\r\nassert(isequal(your_fcn_name(k),y_correct))\r\n%%\r\nk = 6;\r\ny_correct = 462;\r\nassert(isequal(your_fcn_name(k),y_correct))\r\n\r\n%%\r\nk = 20;\r\ny_correct = 53130;\r\nassert(isequal(your_fcn_name(k),y_correct))\r\n\r\n%%\r\nk = 3;\r\ny_correct = 56;\r\nassert(isequal(your_fcn_name(k),y_correct))\r\n\r\n%%\r\nk = 5;\r\ny_correct = 252;\r\nassert(isequal(your_fcn_name(k),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":4320,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":70,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2012-06-12T15:51:36.000Z","updated_at":"2026-02-18T15:38:55.000Z","published_at":"2012-06-12T15:51:36.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHow many different result can we have, rolling k dice?\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":44618,"title":"surface areas of a cylinder","description":"There are 3 inputs: option, radius and height. If option= '1', compute the lateral surface area of the cylinder, for option 2 calculate the total surface area of the cylinder. For any other option, compute the total area of both flat sides of the cylinder.","description_html":"\u003cp\u003eThere are 3 inputs: option, radius and height. If option= '1', compute the lateral surface area of the cylinder, for option 2 calculate the total surface area of the cylinder. For any other option, compute the total area of both flat sides of the cylinder.\u003c/p\u003e","function_template":"function y = surface_area_cyl(optn,r,h)\r\n y = r*h;\r\nend","test_suite":"%%\r\noptn=1;\r\nr=3;\r\nh=6;\r\ny_correct = 36*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=5;\r\nr=3;\r\nh=6;\r\ny_correct = 18*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=2;\r\nr=2;\r\nh=2;\r\ny_correct = 16*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=0;\r\nr=5;\r\nh=10;\r\ny_correct = 50*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=1;\r\nr=5;\r\nh=10;\r\ny_correct = 100*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=2;\r\nr=5;\r\nh=10;\r\ny_correct = 150*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=42;\r\nr=3;\r\nh=7;\r\ny_correct = 18*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=2;\r\nr=3\r\nh=7;\r\ny_correct = 60*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n\r\n%%\r\noptn=1;\r\nr=3;\r\nh=7;\r\ny_correct = 42*pi;\r\nassert(isequal(surface_area_cyl(optn,r,h),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":171559,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":53,"test_suite_updated_at":"2018-07-16T16:54:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2018-04-20T05:49:29.000Z","updated_at":"2026-04-03T06:59:13.000Z","published_at":"2018-04-20T05:49:29.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThere are 3 inputs: option, radius and height. If option= '1', compute the lateral surface area of the cylinder, for option 2 calculate the total surface area of the cylinder. For any other option, compute the total area of both flat sides of the cylinder.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":721,"title":"Convert from Base 10 to base 5","description":"Convert the input number from base 10 into base 5:\r\n\r\nfor example:\r\n\r\nif a(in base 10)= 5\r\n\r\nthen a(in base 5)= 10\r\n\r\n","description_html":"\u003cp\u003eConvert the input number from base 10 into base 5:\u003c/p\u003e\u003cp\u003efor example:\u003c/p\u003e\u003cp\u003eif a(in base 10)= 5\u003c/p\u003e\u003cp\u003ethen a(in base 5)= 10\u003c/p\u003e","function_template":"function y = cbase5(x)\r\n y = x;\r\nend","test_suite":"%%\r\nx = 5;\r\ny_correct = 10;\r\nassert(isequal(cbase5(x),y_correct))\r\n\r\n\r\n%%\r\nx = 6;\r\ny_correct = 11;\r\nassert(isequal(cbase5(x),y_correct))\r\n\r\n\r\n%%\r\nx = 50;\r\ny_correct = 200;\r\nassert(isequal(cbase5(x),y_correct))\r\n\r\n\r\n%%\r\nx = 2;\r\ny_correct = 2;\r\nassert(isequal(cbase5(x),y_correct))\r\n\r\n%%\r\nx = 0;\r\ny_correct = 0;\r\nassert(isequal(cbase5(x),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":4320,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":281,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2012-05-24T13:17:12.000Z","updated_at":"2026-01-30T17:02:17.000Z","published_at":"2012-05-24T13:17:12.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eConvert the input number from base 10 into base 5:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003efor example:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eif a(in base 10)= 5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen a(in base 5)= 10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":45218,"title":"Find a common edge","description":"First input is T, a triplet list of indices. Second input is e = [e1 e2], a row vector, couple of indices (positive distinct integers always sorted in ascending order, ie e1 \u003c e2 ). The goal of this function is to find and return the indices of the rows in the list which contain this particular edge. Output format can be either a column or a row vector.\r\nFor example if inputs are\r\nT = [1 2 3 ;\r\n 1 3 4 ;\r\n 1 4 2 ;\r\n 2 3 4]\r\nand\r\ne = [2 3]\r\nthe output is the vector\r\nrow_idx = [1 4]\r\nsince [2 3] is contained in rows number 1 and 4 of T. With the same input T, but with e = [2 4] this time, the output is the vector row_idx = [3 4], since [2 4] is contained in rows number 3 and 4 of T (Note that edge [b a] is the same as edge [a b] so must be the corresponding outputs). If the edge is not in the list, the function must of course return the empty set.\r\n\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 500.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 250.3px; transform-origin: 408px 250.3px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 377.083px 8px; transform-origin: 377.083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFirst input is T, a triplet list of indices. Second input is e = [e1 e2], a row vector, couple of indices (positive distinct integers always sorted in ascending order, ie\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.5417px 8px; transform-origin: 23.5417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ee1 \u0026lt; e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 247.358px 8px; transform-origin: 247.358px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e ). The goal of this function is to find and return the indices of the rows in the list which contain this particular edge. Output format can be either a column or a row vector.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.0167px 8px; transform-origin: 77.0167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example if inputs are\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 40.8667px; transform-origin: 405px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 46.2px 8.5px; tab-size: 4; transform-origin: 46.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eT = [1 2 3 ;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 46.2px 8.5px; tab-size: 4; transform-origin: 46.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 1 3 4 ;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 46.2px 8.5px; tab-size: 4; transform-origin: 46.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 1 4 2 ;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 8.5px; tab-size: 4; transform-origin: 42.35px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 3 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 34.65px 8.5px; tab-size: 4; transform-origin: 34.65px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ee = [2 3]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 70.7833px 8px; transform-origin: 70.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethe output is the vector\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 57.75px 8.5px; tab-size: 4; transform-origin: 57.75px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003erow_idx = [1 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 369.667px 8px; transform-origin: 369.667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince [2 3] is contained in rows number 1 and 4 of T. With the same input T, but with e = [2 4] this time, the output is the vector row_idx = [3 4], since [2 4] is contained in rows number 3 and 4 of T (Note that\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 117.825px 8px; transform-origin: 117.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eedge [b a] is the same as edge [a b]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.725px 8px; transform-origin: 1.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e so must be the corresponding outputs). If the edge is not in the list, the function must of course return the empty set.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function row_idx = find_common_edge(T,e)\r\n row_idx = e;\r\nend","test_suite":"%% Tetrahedron 1\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 2;...\r\n 2 3 4];\r\n\r\ne = [2 3];\r\nrow_idx = [1 4];\r\n\r\nassert(isequal(find_common_edge(T,e),row_idx) || isequal(find_common_edge(T,e),row_idx'))\r\n\r\n%% Tetrahedron 2\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 2;...\r\n 2 3 4];\r\n\r\ne = [2 4];\r\nrow_idx = [3 4];\r\n\r\nassert(isequal(find_common_edge(T,e),row_idx) || isequal(find_common_edge(T,e),row_idx'))\r\n\r\n%% Octahedron\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 5;...\r\n 1 5 2;...\r\n 6 3 2;...\r\n 6 4 3;...\r\n 6 5 4;...\r\n 6 2 5];\r\n\r\ne = [1 5];\r\nrow_idx = [3 4];\r\n\r\nassert(isequal(find_common_edge(T,e),row_idx) || isequal(find_common_edge(T,e),row_idx'))\r\n\r\n%% Triangulated cube\r\nT = [1 2 4;...\r\n 2 3 4;...\r\n 5 6 8;...\r\n 6 7 8;...\r\n 1 2 5;...\r\n 2 5 6;...\r\n 2 3 6;...\r\n 3 6 7;...\r\n 3 4 7;...\r\n 4 7 8;...\r\n 4 1 8;...\r\n 1 8 5];\r\n\r\ne = [6 7];\r\nrow_idx = [4 8];\r\n\r\nassert(isequal(find_common_edge(T,e),row_idx) || isequal(find_common_edge(T,e),row_idx'))\r\n\r\n%% Empty set test\r\nT = [2 3 5;...\r\n 3 5 7;...\r\n 5 7 11;...\r\n 7 11 13];\r\n\r\ne = [6 28];\r\n\r\nassert(isempty(find_common_edge(T,e)))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('find_common_edge.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:50:32.000Z","deleted_by":null,"deleted_at":null,"solvers_count":42,"test_suite_updated_at":"2025-07-09T05:45:58.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-12-01T17:21:36.000Z","updated_at":"2026-03-14T18:58:02.000Z","published_at":"2019-12-01T18:01:01.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFirst input is T, a triplet list of indices. Second input is e = [e1 e2], a row vector, couple of indices (positive distinct integers always sorted in ascending order, ie\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ee1 \u0026lt; e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e ). The goal of this function is to find and return the indices of the rows in the list which contain this particular edge. Output format can be either a column or a row vector.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example if inputs are\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1 2 3 ;\\n 1 3 4 ;\\n 1 4 2 ;\\n 2 3 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[e = [2 3]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethe output is the vector\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[row_idx = [1 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince [2 3] is contained in rows number 1 and 4 of T. With the same input T, but with e = [2 4] this time, the output is the vector row_idx = [3 4], since [2 4] is contained in rows number 3 and 4 of T (Note that\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eedge [b a] is the same as edge [a b]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e so must be the corresponding outputs). If the edge is not in the list, the function must of course return the empty set.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60983,"title":"Check Euler's characteristic on regular polyhedra","description":"Problem statement\r\nGiven the number of vertices and the number of faces of a given regular polyhedron, compute the number of its edges with Euler characteristic, a powerful generic formula linking these three.\r\n\r\nExamples -\u003e check the test suite\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 414.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 207.367px; transform-origin: 408px 207.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 263.333px 8px; transform-origin: 263.333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the number of vertices and the number of faces of a given regular polyhedron, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 110.042px 8px; transform-origin: 110.042px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ecompute the number of its edges\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e with Euler characteristic, a powerful generic formula linking these three.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6167px 8px; transform-origin: 34.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.425px 8px; transform-origin: 6.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.8917px 8px; transform-origin: 59.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003echeck the test suite\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function e = check_Euler_chracteristic(v,f)\r\n e = f;\r\nend","test_suite":"%% tetrahedron\r\nv = 4;\r\nf = 4;\r\ne_correct = 6;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% octahedron\r\nv = 6;\r\nf = 8;\r\ne_correct = 12;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% hexahedron / cube\r\nv = 8;\r\nf = 6;\r\ne_correct = 12;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% icosahedron\r\nv = 12;\r\nf = 20;\r\ne_correct = 30;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% dodecahedron\r\nv = 20;\r\nf = 12;\r\ne_correct = 30;\r\nassert(isequal(check_Euler_chracteristic(v,f),e_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('check_Euler_chracteristic.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:45:16.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:08:07.000Z","updated_at":"2026-02-10T17:11:09.000Z","published_at":"2025-07-24T07:25:21.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven the number of vertices and the number of faces of a given regular polyhedron, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecompute the number of its edges\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e with Euler characteristic, a powerful generic formula linking these three.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60980,"title":"Mesh the tetrahedron","description":"Problem statement\r\n\r\nAn tetrahedron is a regular polyhedron with 4 vertices and 4 triangular faces. It is also one of the five well known platonic solids.\r\nA triangulated mesh -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this tetrahedron. To do so, you will list the triangles/rows in a matrix of triangles, T. You will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles [1, 2, 3] and [3, 2, 1] are distinct).\r\nOn the other hand [1, 2, 3], [2, 3, 1] and [3, 1, 2] are one same unique triangle.\r\nThe row order of the triangles in the list doesn't matter.\r\n \r\nEdit / update\r\nTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\r\n\r\nExample\r\nThe first triangle (X \u003e 0 and Y \u003e 0) here can be [1, 2, 4] if counterclockwise oriented (normals outward).\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1194.73px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 597.367px; transform-origin: 408px 597.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 374.592px 8px; transform-origin: 374.592px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn tetrahedron is a regular polyhedron with 4 vertices and 4 triangular faces. It is also one of the five well known platonic solids.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 157.542px 8px; transform-origin: 157.542px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.533px 8px; transform-origin: 206.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 328.017px 8px; transform-origin: 328.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this tetrahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.51667px 8px; transform-origin: 7.51667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 49.4667px 8px; transform-origin: 49.4667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 2, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are distinct).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[2, 3, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 1, 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.5333px 8px; transform-origin: 94.5333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are one same unique triangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.5917px 8px; transform-origin: 13.5917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.9833px 8px; transform-origin: 41.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdit / update\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 351.75px 8px; transform-origin: 351.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 52.1167px 8px; transform-origin: 52.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 53.2917px 8px; transform-origin: 53.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(X \u0026gt; 0 and Y \u0026gt; 0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 148.208px 8px; transform-origin: 148.208px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented (normals outward).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_tetrahedron()\r\n T = 1;\r\nend","test_suite":"%%\r\nT_correct = [1 2 4;\r\n 2 3 4;\r\n 3 1 4;\r\n 1 3 2];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_tetrahedron(),2)),sortrows(sort(T_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_tetrahedron.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:43:58.000Z","deleted_by":null,"deleted_at":null,"solvers_count":39,"test_suite_updated_at":"2025-07-23T16:17:50.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T11:03:01.000Z","updated_at":"2026-03-31T18:44:34.000Z","published_at":"2025-07-23T11:11:01.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn tetrahedron is a regular polyhedron with 4 vertices and 4 triangular faces. It is also one of the five well known platonic solids.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this tetrahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 2, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are distinct).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[2, 3, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 1, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are one same unique triangle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdit / update\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(X \u0026gt; 0 and Y \u0026gt; 0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented (normals outward).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"378\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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gfPqz/fik4ZAFoj4ACAmMaBeer2jRxm7Lrm/O5MDpzM1RO8fr5f8M53DkcVXQQAaIGAAwAy0M/YW03U5+fDwYavIYLuTE6dzPFrLuMAgBIJOAAgmnE8PrV948iMnVT/GjZ/GeF0ZyKZAIDWCDgAYCN1ZQqZCBVt2MQBAMURcABAHONgfGD7RibRxm43HFQhVLRxgIwDAEog4ACAVPpcw7QcWqRoY7+JAwAogYADACIYU4xh+4ZcI45I0cYlb1QBgIIIOAAgJtFGNC4rAHCVgAMAQhsTjee97W39AWF11zdZumETBwCUQsABABQjZbRxScYBAEUQcABAUMVt3zg7Gw7ytkm0AQAURMABAGQth2jDJg4AyJ+AAwDC8dM3gsoh2jhAxgEAWRJwAEAgZaUbu91wkKUMo439Jg4AIEsCDgAgIxlGG5e8UQUAcibgAIAQvDlltZyjDQAgfwIOAGBjBUUbNnEAQLYEHACwmu0bSxUUbVyScQBAngQcAMA2xAMAQEACDgBYp+jtG2dnw0FaJW7cuMomDgDIkIADAEin9GjjABkHAORBwAEAK/jpG5NVFm3sN3EAAHkQcABAe3a74SCJyqKNS96oAgBZEXAAwFK2b9yl1mjjABkHAGxNwAEAhNdItOGNKgCQDwEHACxi+8YRjUQbl7xRBQAyIeAAAMJoLdoAALIi4ACA+WzfuK7paOPi4gv+6l+9PB4OAIDkBBwA0Kqzs+FghXajjYuL4dc9Mg4A2JyAAwBmGidY2zeajjYAgMwIOACA2br5vsUR/2S0YRMHAGxLwAEAc4yza8HbN3a74WAR0cYkMg4ASE7AAQCTtT21thht9LnG5LrvN3EAAMkJOABgttZ++ka70cZ83qgCAFsRcADANOO82lS6IdoAAEoh4AAADhBtLGYTBwBsQsABABOMk2oL2zdEG+vJOAAgPQEHADTp7Gw4uKK5aKPPNWQQAFAFAQcA3GUcgCvevtFotBGTTRwAkJiAAwBaJ9qITsYBAPEJOADgpHE0rWT7xm43HNzTnVtDk3fyaGO/iQMAiE/AAQAtaija6HONtNHGJW9UAYBkBBwAcNw4lNb00zeaizYAgDYIOACgFaKNTdjEAQBpCDgA4IhxHK1g+4ZoY1syDgBIQMABADVrJdrocw3xAQA0TMABAIeMo3K52zdORRtnZ8NBBQrJNWziAIDYBBwAUJtT0UZ97rsv1q94ZBwAEIGAAwBuKXb7xqRow3R9Wnd9+l+h7TdxAAARCDgAoAaToo03v1m6cVS0XOMqb1QBgHgEHABw3Th5FrR9w6y8XJJcAwBIQMABAAXr5nKj+UIb5Ro2cQBAJAIOALhinDnz374h2liozzU2DRdkHAAQg4ADAEaFpBuijSUyyDUAgKgEHABQDNHGbLnmGjZxAEBwAg4AuGecM/PcvhEy2jg/Hw4qlmuucZiMAwBCEHAAQNZCRhvVKyrX2G/iAABCEHAAwP7/Qs9q+4ZoY6qico2rvFEFAAIScABAdqJEG29+83BQjWJzDQAgBgEHAM0bJ+Qctm9EiTY6laUAFeUaNnEAQCgCDgDIQsRoo5rJuT+X6oIAGQcABCHgAKBt40i57faN8HNtTVlATecCAEQj4ACALXVTe+DBXa5RIJs4AGA9AQcADRuHyU22b3RfO/AsW0cc0J9FBSeyWMvnDgArCDgAILUto43z8+EgN/0pNDzb7zdxAACLCDgAaNU4S6fcvhE42qggFKjgFMLxRhUAWEPAAQApRIk2ytW/fmM8ABCOgAOAJo2jdYLtG1lEG7vdcLCt/sUveP3NsIkDABYTcABALFlEG5mQa0wm4wCAZQQcALRnnBvjbd/ovkCw2bSPBgqddYt+8QBAUQQcABBS+GijRHKNdWziAIAFBBwANGacGGNs32g92uhfdomvPGeuJwBMI+AAgAC6GTTMGFpiQNC/ZnN4UPtNHADANAIOAFoyDuEBt2+EiTbSZATn58NBEGlec8O8UQUAZhFwANCMcUoMlW50ny7A3FlcRtC/4LJeMwDQAAEHAMzWYrQh19iCTRwAMJ2AA4A2jPPhyu0b3WcJMGgmTgp2u+Fggf6lpny1XCfjAICJBBwAMEmR0cYacg0AoCgCDgAaMA7qy7ZvBIg2+rCgiLygoJfaDJs4AGAKAQcAHBUs2shf/zrNz/lTIwA4QsABQO3GgXDW9o3uv1k7RxaRF/QvMv/X2bz9Jg4A4AgBBwBc00S0Idco0CPeqAIAJwk4AKjaOApO3L6xanDMPDU4P8/9FXJEV7CbNVNEALhFwAEAzzowQ05XRGpgJC7QjbZ85Id/eDgCAG4RcABQr3GkP71948YMOU8R0QYFutaWfZvd67R9xqHxAOA6AQcA7bo2Q841Dpy52+2GAwpxrS1LaTMAyICAA4BKjWPhwe0b12bIWfqB08xJBNfa8nib2cQBAAcJOABoy7UZcha5BtFca8sJnSbjAIDbBBwA1Gic+q5u37g2Q84yYeCExfa9pdMAYAUBBwD1E22Qp+WdaRMHANwi4ACgOuO897y3vW3hANnnGuZGolnYmcfoVQAQcABQseXRRn3OzoYDthYw2thv4gAABBwA1GaMJ77g0F+eckqt0QbZCBhtXPJGFQC4JOAAoHmiDSKLEW0AADcIOACoyJhTTN2+UX20sdsNB2wkQbRhEwcA9AQcANRierrR5xqmQWJKEG1cknEAQEfAAUBL5BrElzLaAAAuCTgAqMIYWxzdviHaIL4Now2bOABAwAFA7UQbxLdhtHGAhgegSQIOAMo3jnPXtm/0uYZJj/gyabL9Jg4AaJKAA4DqyDVuODsbDgit67OsWs0bVQBomYADgMKNg9yz2zdEG6QSMtro+1brAsA6Ag4AamE+JIlg0UacXMMmDgCaJeAAoGTjCPcFP/RD/QF7u91wQCBhoo04ucZVMg4A2iTgAAC4Q4BoI36uAQCNE3AAUKxxVrR9g3jWRhsb5Ro2cQDQIAEHAMABq6KNjXKNw2QcALRBwAFAmcaZzfYNggsQbWRgv4kDANog4AAAGCyPNvpcI49o45I3qgDQFAEHAAUapzXbN+52djYccNLCaCPLXAMA2iTgAABaNzufKCfXsIkDgHYIOAAozTin2b7Bel0zzZj7y8k1rpJxANAIAQcA1Gi3Gw44Yka0UWauAQCtEXAAUJRxyLR9g8WmRhsV5Ro2cQDQAgEHAOUwm7HOpGijolzjMPcRAJUScABQHts3mOvuaKP2XGO/iQMAKiXgAKAQ4+Qp3WCWqdFGA7xRBYC6CTgAgDrdEW30uYZRHwBqIeAAoATjFGr7xjxnZ8NBY05FG23nGjZxAFAxAQcAUI+j0UbbucZVMg4AaiXgACB74xhm+wanHZjX5RoA0AwBBwBUZ7cbDppxcSPdkGucZBMHAFUScACQt3EAs32Dg65FG3KNBVwuAGoh4AAAirSPNuQa8+03cQBALQQcAGRsHFlt31ii3oH/ZrTBIt6oAkBlBBwAUJ16x/4h2uhP0FgOAFwh4AAgV+P4avsGnWejDblGaDZxAFATAQcAVOr8fDgo3MU9JvBIZBwAVEPAAUCWxlnL9o129cGGqRsAmEbAAQDk5N5mDcFGSjZxAFAHAQcA+bF9Y403v3k4KMu9XOPZaKM7HD7EFmQcABRLwAEAbGfMNYbf9f8guf0mDgAoloADgMyMs67tGzW7nmt0uiPpxra8UQWA0gk4AICErucaHdEGABCEgAOAnIyjr+0btelzDdFG3mziAKBoAg4AsiHdWOlWgrC9/iXdelXd7w3QeZJxAFAuAQcAlO92iHB+Phxson89hyZk0QYAEImAA4A8jMOw7RvzHMkRttG/mCOvR7RRCps4ACiUgAMACnQySkjtrhcj2ihYJj0GABMIOADIwDhE2b5xt5NRwnN2u+Eggf6VnHgx93IN83GJ9ps4AKAcAg4AKMRdaUIiE3KNjmijVGN9H/krf2X/EQAogYADgK2N45PtG0f1M+fmpr2M7k8YiIt0or45tB8A3EXAAQC56gfOzWfLOS/DHFykI/Xdb+IAgBIIOADY1DhW2b5xzeRAIaL+NUx+Gd2f2/oVM99dJfZGFQAKIuAAgJzMyRSi6F/AnNfQ/VGzb2HmVxkA8ifgAGA743xl+8azAg6c5+fDwXT9V5/5Aro/bUQuzPwq28QBQCkEHACwqX7g3Gp0XPrVu//AsFuYIG22/jMAQDQCDgA2Mk5K7W7fCDJwLtN/6UVfvftvzLiFWd1pftooAEUQcABAcqsHzsN2u+HgmP7rLv3Soo3CrCv3Dd6oAkD+BBwAbGGckZrbvhFu4Jyh/6Irvm73XxpqSxK7zaJ+cgBYSsABAPH1A2f6sXD1F+3+Y7NsSWK2mTeqAJA5AQcAyY0DWBPbN2IOnEf1X3Td1+3+4+SvmxWSdJo3qgCQMwEHAMSRZOCMQbRRkr7NxA0AIOAAILVxEqt5+0bJA6dBuRgbtZlNHABkS8ABAOHkEG2cnQ0HM3Wv28Bahq3bTMYBQJ4EHAAkNI5DtW3f6AfOYoe97nWbU8tQcpsBQGwCDgBSGQezqtKNwgdO0UYxMus0mzgAyJCAAwAWyS3a2O2Gg2lEG2Xo2yzzECHzlwdAMwQcACQxjkA1bN/If+A8qXvp5tECZN9m+00cAJAHAQcATNMPnKINYiunzbxRBYCsCDgAiG8cfkrdvlHOwHlM9+oNoAUov9MAYEMCDgA4TrQBJ9nEAUA+BBwARDaOPYVt3xBtwDQyDgAyIeAAgCv6XKP8Oc2gCQC0RsABQExjUlDA9o0qco3nnJ115yDdIDGbOADIgYADgObVEW3cyzUMl2xPxgHARgQcAEQzzjn5bt+oJtrY7cyUbGu/iQMANiLgAKBJ1UQb935Rtr4by29Ib1QBYFsCDgDiGCecvLZv1DJJdrpzMESWraJuBIAcCDgAyEPsSa+iSVK0Uba+FWvpxkt9W36+TRwAbEfAAUAE42wzaftG7GEv9udPqDsNU2Op+j6spRVvuHpWMg4AtiLgAGAjCea92J8/oe40DItFStDnm9KZAORDwAFAaOMsd3T7Rux5r//8Ub9EQgbIUlXUhAed6EybOADYhIADgIRij3x1jZQnBsjDzs6GAzbUN2FFfXjbvM6s+lIAkBUBBwBBjcPMze0bsUe+2J8/OUNhYfoOrKsJb+tOb+IZ7jdxAEAqAg4Awjk43c2a+vo/vOBXRabPkIPdbjggnhv9dvtX7Wa3pTeqAJCcgAOA8J7dvtHM4BfQghmS6JpvY20JQCkEHAAEMg6BX/CDPyjXmMsMmSPRxuq2tIkDgJQEHACwpfUzJIH1uYZoYzhcS8YBQDICDgBCGEeXZ7dvME3AGZIwms81OtoSgHIJOAAgNTNkdkQb90S6BDZxAJCGgAOA1cahxfaNO3VXyoSXF9HGPek609UGIBoBBwCkEH2APDsbDpiizzUM2wk68579Jg4AiEbAAcA644ho+8YxaQZIppJrjBJ3pjeqABCbgAMAYkk8QHIH0cZIZwJQJQEHACuM46LtG7clGiB3u+GAE0Qbo22jDZs4AIhKwAEAgW07Q7LX5xpm6XsyaUsZBwDxCDgAWGqcT2zfuJTJDIlc4yptCUAjBBwAEIAZMheijSvybEubOACIRMABwCLjZGL7Rp4zZHP6XMPAPCqmLZUMgHAEHACwUDEzZMXkGrcU0Zb7TRwAEI6AA4D5xnmy2e0b2c2QZ2fDQSPkGkcUdEW8UQWA4AQcADBDdtFGU+Qax+lMABBwADDTOF62tn3DALkZucZJ5XamTRwAhCXgAIA75DtA7nbDQZXkGnfJtzMnk3EAEJCAA4A5xiGkne0bpq7U5BoTdFfHBQKAGwQcAEzWWLphhkxKrjFNVW15r+Kf/4537H8LACsIOADgpqpmyMzJNSarqi2PFV0nALCCgAOAacbBo+7tG1XNkJk7NuJyS1Vteaju+00cALCCgAMAnlXVDJmzfr4VbUxTVVuerLs3qgCwnoADgAnGkaPK7Rtlz5Bdac7OhuOc9cOt2XWystvyqgWl1ycALCLgAKBdxc+Q+c+BC4bb5hXflpdmlt4bVQBYScABwF3GEaWm7Rv1zJB56ifbOcMtvUou2dLqe6MKAGsIOABoSzc2VTI5vfnNw0E++rHWaLpIJZ2pAQDYjoADgJPGWaWC7RuVDJAZ6mdaY+1SNXRmuB6wiQOAxQQcANSvhgEyQ+Fm2mbV0JlRe0B3ATCHgAOA48bpoujtGyak8KLOtG3oLl/xVzBaG/hpowAsI+AAoFo1zJBZ6Qda0cY6NbRl/DbwRhUAFhBwAHDEOFeUuH2jhhkyH/00a85crfi23KoT9B4A0wg4AKhK8TPkXOfnw0FwW02zNSq+LbfoBG9UAWAuAQcAh4zDTEHbN4qfITPRj7LJp9laFd+WmzaDN6oAMIuAA4DiFT9DztIPnMHnvUiftmHFt6V+AKA0Ag4Abhmnmvy3b+Q1Q8aeBq8OnLvdcLBS/zljv/L2FHxBM2sJmzgAmE7AAUCRulkno3En9kAY/PP3nzDqa25VXp05S64tIeMAYCIBBwDXjSNEtts3Mhog+4Ew6tAV9vMneMENy6gz59IVAFRBwAFAMTIaIGMPhP3nD/glYr/gtmXUmXMV0hg2cQAwhYADgCvG4SG37RsZDZCxB8Kwn7//bFFfcNsy6sy5ym0M/QzAEQIOAEbj2JBhupGF2ANhwM/ff6qor7Z53cUt8voW2xv7TRwAcISAA4B85TJDxh4IF3/+8/PhoNd/nqgvlXzacq7ye8MbVQA4TcABwD3jwJDJ9o0sZsh+IIw3SoX6/KE+D3fJoi0X0B4AtEHAAUBespghYw+EoT5/7NfJKIu2XKC6DrGJA4ATBBwA7EeFbbdvZDFDxh4Ig3z+3W44IL4s2nKuvs2idvJ2ZBwAHCPgAGB7WcyQsQfCegfOWmXRlnNpMwAaJuAAaN44Dm2yfWP7GbIfCOPNhLE/P3GUV7CW2swmDgAOEnAAsI1uLtl4NIk9ELY0cNZk+86cq/FOc5cBMBJwALRtnA1Sbt/YfoCMPRDG/vzEsX1nztK3Waudtt/EAQAjAQcA6Ww/QMYeCBseOIu2fWfOos3u8UYVAG4QcAA0bJwK0mzf2HIE6QfCyqags7PhgBW6niipLeprYwAIR8ABQHRbzpAGQo7Ysi0X0MmH2MQBwFUCDoBWjfNA1O0bW86QBkKO2LItF9DJJ8k4ALgk4AAgii1nyLoHwt1uOGC+Ldtyrr6NDe0AMJmAA6BJ49QUY/vGZjOkgZDjNmvLBbTxTDZxANATcAAQzGYzpIGQ4zZrywV08nouIEDDBBwA7RkHgIDbNzabIQ2EHLdZWy6gk9fZb+IAoGECDgBW2WyGNBByUhnN0bexTg7BG1UAEHAANGZc+q/fvtF9om3GCAMhJ23WmbNoYwAITcABwGzbDJD9QGgm7J2dDQdcsU1nzqWNo7GJA6BxAg6AloyL/sXbN7YZIA2E3GWbzpxLJ8cn4wBomYADoBnjcn9NupGagZC7dP2Re4v0bayTASAyAQcAd9tghjQQHrTbDQds0pZzaeMt2MQB0CwBB0AbxoX+3O0bqWfIfiA0lnBS6rZcQBtnQhUAWiLgAOCw1DOkgZAJUrflAjo5A/tNHAC0RMAB0IBx3Jq4fSP1DGkgZILUbTlX38Y6ORveqALQIAEHAHupZ0gDIROkbsu5tDEA5EHAAVC7cfQ6vX0j6QzZD4RmQu6StC0X0MZ5s4kDoDUCDoDWJZ0hDYRBnJ0NB1XLulF0ciFkHABNEXAAVG1c0x/cvtH9u3RLfgMhkyXtzLl0MgDkSsAB0KKkA6SBkMmSduYsfRvr5ALZxAHQDgEHQL3G1fzV7RvpBkgDYXC73XBQo3SdOZc2rolSAlRNwAHQkERLewMhc3S9kmm76ORa7DdxAFA1AQdApcbBrN++kWiGNBAyR6K2XEAnV8cbVQBaIOAAqFyiGdJAyByJ2nKuvo11MgCUScABUKNxQnvk0F+eEpiBkDmyjjao2MXF57/97ZfHwwEAdRFwALBIPxCaE5hMtME2rpRYxgFQNwEHQHXGhXus7RtXpgU2cHY2HJSja5ccO0YnV0+JARoj4ABgMtMC8yXqmOnN2f9JnVyxkyW2iQOgYgIOgLqMS/bA2zeOTwtwTNcx0Zum78yJzamNqzehxNf+tX4AqIuAA6AiwRfr/bRgBsjBbjcclKDrmLhNM7cztXH1JpT4si0fvtzEAUBdBBwAFQqwfcNAyCKXM2QUfVvO6kydXL0JJb7dlvuMQ3sAVETAAVCLcZm+Nt2YMC3AbbdnyGD6npzVlgv+E4ozocST2lKfANRCwAHAyEDIIpNmyAX6hpzbk9q4etMa48629EYVgPoIOACqMK71l2zfmDYtwG13zpBLrGlIbVy3aY0xvS29UQWgMgIOgIZNmxbgtukz5FR9N2pIDprcGxoIoGUCDoDyjev+Gds3TJKFOjsbDrbT9U3g1tGNnDC5PZZ1pk0cADURcAA0xjDJUssGyKP6VtSNHDSnPYJ1pm4EKJyAA6Bw44r8ju0bc6YFuCHYANnRipw2pz2CdKafNgpQDQEHQO0MkxXY7YaDLYTpnr4PtSInzOmQ7s8FbCZvVAGog4ADoGTjWvzw9o050wLcFmCG7JtQH3LanCYJ0JanaVeAYgk4AGpkpGSdtTNk34GakNNm9snatjzJG1UAKiDgACjWOBVc274xZ1qA21bNkH376UDuNLNPVrXlZN6oAlA6AQdAFfppwaKcFZbPkNqP6Wa2yvK2BKA9Ag6AMo0TwiM/8AMGS1ZaPkPOHFZp2sxuWd6WK9jEAVA0AQcAFOLsbDgIZ+EM2U+qJkAmmt8tG/aWjAOgXAIOgAKNy+5nt2/AIl0PzZ7e+jHV1MdEixpmSWcCwD0CDgBoy+wBctGYStMWNczszozGJg6AQgk4AEozLrht32jFbjccrDZvgOxnVAMesyzqmXmdmZhbAKAcAg4AyN7qoGHGANl/LUMdcy1qmxmdmdZ+EwcA5RBwABRlnB9s32jI6qxh0n/fT6ervxbNWdo53X+Qebd5owpAcQQcAOUYF9nSDSa6e4ZcOp3C4s65uy0BYBEBBwBU6I4ZUq7BGs1EGzZxAJRFwAFQiHF5bfsGp90xQy4dTeFZS/vnjrbMmIwDoCACDgAowfn5cHDcqRmyn0tNaCyzon9OtSUABCXgACjBOFfYvsFBR2fIFXMpPGtF/xxty9LYxAFQCgEHABTs8AzZD6WGMdZY10LVNp/bCiBjAg6A7I3rads3chdj8nnzm4eDW7ovdvPr9ROpAYyV1nXRgc4s334TBwAZE3AAwGppY4WbA2T/1RO+AOq0upFudmZdvFEFIH8CDoC8jStp2zcytW4gnOvaANl/6YRfnWqtbqRrnQkAGxFwAMB8CcKFW59/+E2CL007VvdS9x+304s2cQBkTsABkLFxDW37RkZWD4R36D//9S/R/ebZ38f+0jRldTsNbdkYGQdAzgQcADBN7Hzh0Offz5CmKUJZ3cn7tgSAnAg4AHI1TiC2b2xv9UB4h0Of/9oMeXY2HMBifZut6+RrbdkqmzgAsiXgAIAjQgyEdzj0+c2QBBaijbXlYVGfDwDMJOAAyNK4aLZ9YxshBsJT+s9/60t0vzctEVKITtaWt+03cQCQEwEHAFwRYiA85cjnPzxD7nbDAcwVopMPtyX3eKMKQIYEHAD5GZfLtm8kFWIgPOXI5+8+ZDwimL7NQnSytgSgOAIOAJoXaCA86sjn7z5khiSYcG2sMyeyiQMgNwIOgMyMC2XbN6LrB8J4k8nxz999yDxEMOHaWGfOJeMAyIqAA4D2hBsIDzv++Q2QhBSuk3UmABUQcADkZJxVbN+IJdxAeNjJz2+AJIy+zQJ1cvdZdOYaNnEA5EPAAZCNcXEs3Ygi3EC4wKoZ8uxsOICgbbyqLTlou4cMAB0BBwBV6wfC7aYOMyRhBG1jbRnWfhMHAJsScADkYRxdbN8IZtNco2OGJAzRRgm8UQUgBwIOAKpTR7Sx2w0HtKlv43CdHKYtASBjAg6ADIwzjO0bawUdCBeIMkPed9+1X1QvdBtHaUtusYkDYHMCDgDK1w+Emw4VKWbIrc+R6CKUWMekJOMA2JaAA2Br4zrY9o0lIgyEc3VfPvoryOA0iStCiVN0JgDkRMABQJkymPkTDZCijbqJNupiEwfAhgQcAJsaV8C2b8wQYSCcywDJWn0bh+5knZmXrZ9UAK0RcABQiDgD4VypB8izs+GAasRp49SdyXEPv+1twxEAaQk4ALYzDjm2b9whg1yjZ4BkFdFG9cYS7zOOPJ5dAI0QcACQsTgD4QJmSFaJ08naMiPZPKwAWibgANjIuBS2feOwbKaFbWbI3W44oGh9G0fo5G3aktuOl9gmDoD0BBwAZObItJCeGZLlorWxtszFhBLLOAASE3AAbGFc7Nq+sddPC3mMAd2LMI6wULQ21pa5yOZJBcANAg4AtpbTtGCGZLlonawtczG/xDZxAKQk4ABIblzm2r6xYFqIp3sd5g+W6Ns4WidryywEKXG0JgGgJ+AAYAsxB8K5utdh7GCJyG2sM7fXl3hdlfebOACITMABkNa4UG50+0aIaSGg3AfIs7PhgNxEbuPcO7MFQUvsjSoAaQg4AEgi8kA4lwGShSJ3ss7cXuyHVU5PQoDKCDgAEhrXtW1t34g9LcxnvGC2vo1jdnL3qXXmxmKW2BtVABIQcACkMq6bG0o3Ig+EC5QxQ+52wwE5iN/GZbRlxfoSx39YeaMKQGwCDgBCSzUtzGKGZLb4bawtN5bfkwqANQQcAEmMa+jKt29kOS2YIZktfidry41t9LCyiQMgKgEHACFsNC2cZoZktvidrC03ls/DKr9nJkDpBBwA8Y2r2Dq3b+QzLVzRvSCjAzP0bRy5k7XllpKUeAo/bRQgHgEHAItkMy3cYIZkniRtrC23lN+TyhtVACIRcABENq5f69m+kd+00OteU1WzwtnZcEAkqTq5qrYsS64Pq2vyf4UA5RBwADBZrtNC95qMCMyQqpN15mZyfVhd8kYVgBgEHAAxjSvs4rdv5DotGCCZoW/jJJ2sM7eRsMTreaMKQHACDgBOynVaqHaA3O2Gg6j6srYzViU82Wo7M3NN9TMARwg4AKIZV9tFbt/op4VcBwZzzHI3yppriYNJ2Mbdl9GZG0hY4uBs4gAIS8ABwHV5TwtmyIX6sh6sbN4VXy7heWnLbVTRujIOgIAEHABxjEvVkrZv5D0tdK/M8n+JiWXNuPTz9Oeb6nS05TYSlhiAggg4AMh9WjBDLjS3rKVPjGnbWFtuoC9x6Y16i00cAKEIOAAiGBepuW/fyH5a6F6Z9f4Si8uadz8clfZla8sNFNqZCzRymgBxCDgAmpT9tGCGXKIv6/rK5t0b1wQ538m05QbSlngr+00cAKwg4AAIbVyLZ7p9I/tpwQz5rLOz4WCi4GXNu0mG8034IrXlBtKWeHPeqAKwnoADoBnZTwtmyCXilTXPhtniVWnLpPoSZ9h7AGRPwAEQ1Lgoz2j7RgnTQvfiTDPP2u2GgynSlDWfztmijXVmUluUOCs2cQCsJOAACGdckuaSbpQwLXSvz0J+tsSV3byLtuhknZnUFiXOk4wDYA0BB0CNSpgWDJCz9WXdpLJbtdMW56szk9qqpQGokYADIJBxjb7x9o1CpgUDzTw5lDXla+i/VvJT7r6ezkxkoxIXwSYOgMUEHAC1KGRaMEPOk1tZY7+Yjc5XW6aTW0tnzrUCmEPAARDCuAbdYPtGPy2UsAjuXqKl+gzZljXSq9rofLVlOtm2dH72mzgAmEPAAVCscqYFM+RsmVc2bO9t1MnaMp2NSlyovjOf640qAPMJOABWG1ef6bZvlDMt9Ct15nnsseEgcyubsG/jLTpZWyayXYkLpTMBVhJwABSlnGnBSr0Jy7pxuzbWlomU86TKxMHOtIkDYC4BB8A647oz7vaNflooZI17cKXOHbri7nbDcVlmdeambawtU9i0xCXqLtaJ6yXjAJhFwAGQt6KmhdMrdQ6rYyC88xQ2PU2dmUIdnZyQtgQITsABsMK4mo+yfaOoacFKfYnKBsKD59Kf43anqTNT2LTEJZrVljZxAEwn4ADIT1HTwqyVOoNaB8Kr57X1OerM6PoSb1rl4qxtS1cb4CQBB8BS40Iz2PaNAqcFa+15ppS4qAY47M5zjKz72jozrq1LXKI1bbnfxAHASQIOgAwUOC2sWay3aEqJC2yD3GjL6HTpfEHa0htVAKYQcAAsMi4x127fKHBaCLJYb0iBJS6RtoxOJ8+nLQESE3AAbKTAacFifZ5lJT47Gw6YRlvG1bdxaQ+rHAS/ZDZxANxJwAEw37i4XLJ9o8xpoXu5FtQzFFjiEmnLuLTxUvE6U8YBcJqAAyCVMqeFeCv1CvUlXlbl3W44YAJtGVeZD6sc6EyAbQk4AGYa1/0ztm+UOS1Yqc9gIExFW8alk5dK1pk2cQCcIOAAiKnMaSHZSr0GBsKEXOhY+jbWyYts+cBUMoDrBBwAc4yrybu3b5Q5LWy5Ui9OmSUulM6MRRuvsFVb7jdxAHCdgANgsnEMOJVu9NNCgQPDViv18hRb4kLpzFi08Qqbt6U3qgAcJOAACKTYaWHzlXoxDIRp6cxYdPIK2hIgZwIOgGnGeeDA9o2SpwUr9UkMhGl119rlDq9vY528VG5taRMHwG0CDoAVSp4WclusZypxic/OhoNWacsoSn5S5SDbtpRxANwg4ACYYFw7Dts3+mmh2AVltov1jBRe4hJpyyi08WouH0BBBBwAcxQ+LZgh72YgTE5bRqGTV8u9M++V+Lk/9EP73wI0T8ABcJdx1fjIX/7L/UGJcl+p52DDgXC3Gw4aoy2j2LCTa5F7Zx4rsboDzRNwAFQu95V6DgyEyWnL8Po21snrZN2ZR0q838QB0DwBB8BJ41KyxO0bWa/Uc3BkWiAqbRmeNg4h6868q8TeqALQE3AAVCjrlXoODIQbcdED08khZP3AVGKAOQQcAMeNy8qCtm9kvVLPgWlhIzozMJ0cQtZtObPENnEAdAQcAJXIeqWeAwPhRnRmSH0b6+TV8m3LFSWWcQAIOACOGBeI+W/fyHelnoml00JqZ2fDQS10ZkiltHH28m1LJQZYTcABUDbL4aP6acHAsIV8Z8gSaeNA8m3LcCW2iQNonIAD4JBxaZjz9o18F+ubCzctMFfEtuzL2lRldXIgEdtypagl1jxAewQcAOXJd7G+uRIHwt1uOChcxLa8Udbqx7b+fKs/zVQyvY7RSrzfxAHQHgEHwC3jojPD7RvdKzP0HGYg3E7EtjxW1lprrY2DitiZi/Uljlxlb1QBmiXgAChDjiv1HCSZFjgmYlveWdbK6l7Z6WwtYmcutlWJ9RXQEgEHwHXjWjCf7Rs5rtRzsNW0wD2x2rIv6/TKVtADs86Xu8TqzDW2KLE3qgBtEnAA5CvHlXoODIRbi3L1F5e10Gboz7fQF5+l7lJmdzU3LbE3qgANEnAAXDGuAjffvpHjSj0Hm04LdKJ05vqyltUYZb3aEkRpyzX6EqsyQHICDoDRuBjdNt3IbqWegxamhbOz4SBXUTozbFnz75Dq2zi5KG25RmYltokDaI2AAyAX2a3Uc2AgzECUzoxU2Wy7RSeHFqUt18i/xDoQaICAA+CeceW3yfaN7FbqOch/WmhA+M7syxq1srl1Tm6vp3zh23KlvEvsp40CTRFwAGzM6HNTUwPhbjccZCb8DJm4rJu3UH++m7+MuoRvyzXKKbE3qgDtEHAA7Nd8ibdv5LVYz0Eh00LdwrflVmXdqpe0cQTh23KNokusOYGqCTgANpDXYn1z/bRg2b218G25eVkTv4DNz7dSGV3TYkvsjSpAIwQcQPPG1Wqa7RvdFzMA7RkI8xC4Lfuy5lPZBK8kq/OtSODOXKP8EnujCtACAQdAIhmt1HNgIMxD4LbMtqyRXlV/vnmecuECd+ZiSgxQFAEH0LZx2Rp1+0YuK/VMmBbyELgt8y9r2FeY//kWK3BnLlZjiW3iAKon4ACIKJeVeg76acGq+qCzs+EglZBlKKus61+qNo6mu6xZXNmqSyzjAOom4AAaNi7vYmzfyGWlnoOqp4XiBOvMvqwlVnbxay70fEsQrC1XUmKAwgk4AALLZaWeA9NCToJ1ZgVlnfX6+/Mt/ZRzFawtV2qpxDZxABUTcACtGhd2Abdv5LJSz0FL08Jyu91wEFmwzqyprFPOpabzzU+wtlyjL3HLVdbhQF0EHABhWCQ+y7SQma4SYYpRa1mPnZQ2jilYW67Rdon3mzgA6iLgAJo0rmuDbN/IYrG+OQNhZsK0ZV/Wuit74+yqP99NhWnLlZT4Hm9UAaok4ABYLovF+uZMC5kJ05ZNlbU/2aZOeQvbX1wlBqidgANoz7jAXbN9o/sUlsmmhdyEaUtlJbQwnblY39K6+habOID6CDgA5tl4pZ4D00J+wrSlshJamM5cTEvfRcYBVEbAATRmXMMt2L6x8Uo9B6aFGM7OhoNFwrSlyhJamM5cTEsDNEnAAbRk6Xp345V6DkwL+QnQln1ZVZagAnTmGlp6Jps4gJoIOIAWTd++sfFKPQemhSytLYmyEsGWD8y+pXX1Si4gULj7hn8CVG9ct01MN6zyrHTj2u2Gg5lvUbmsyv333feGL//yP/WH//DXfMmXPPJ5n/fZi4v/9/d+7//6zd88/9CH/vlv/Mbwh25TViLYsqu0dAi/9+f//HB0n+kAKJhHGNCMyQFH64tl00Ia8wOOq4X5L573vP/9G7/xjz3/+cPvr3vfRz7yXe9//5P/6T8Nv++pLBFs2VVaOigZB1ABb1EB2jAt3ej+UNPr5e4qGRiydKMz/+BDD/0f3/Itfbrx0ccf/0v/7J+98R/8g2//qZ969wc/+NS9UOM1L3rR33vd6+792bGsKktoN9oyKS0NwCECDoBB04tl00KuDs6Q/9PXfu2jz31ud/BTv/ZrX/1jP/ZX/sW/+OmPfOQnf/VX3/KBD7z0/Pw//O7vdv/qT/6hP/Rtf+JPKCsxHGzLFPonla6Ow08bBSog4AAaMK7Vjm3f2GyxngPTQq6OteUjDz74333lV3YHv/nJT37n+973zPXy/cYnP/mt//Af9sd/5iUv6Q8glGNtGZ0nVRIyDqB0Ag6gaZst1jfXTwuWsFk63ZZf+6Vf+jn33iH/U7/2a5/+/d/vP7h3cfF/f+xjH3vyye7wJV/8xf3HIIhtnheeVABMJuAAajeujG9s3zg9Q9bMtJCV6z9hdEpb/vanP/2PPvrR/+fjH/+Xv/mbw4c6fVnHyv7GE090//s59933wP2+0RPAlM4Mz8NqCzZxAEWz7gGas81KPQemhYxNb8tf+I//8Zvf+96v+dt/+yd/9Vef/f2tsj5w//393o3P/P7vP/PZz/YfhGWmd2ZIHlaZUAWgNAIOoGrj4qzfvrHNSj0HpoWMLW/LI2X9the/+HPvbdz4P//tv+0/Agss78zF+pb2sNrafhMHQGkEHEATNlip58C0kK3drv/nwtocL+vzH3rora94RX98/qEP9QcwywYPTE+qzHijClAoAQdQr3FZ9vlH/vKUmpkWsteVZ3aF+rIer+yDn/M5/+uf/tP/+UMPdcf/6KMf/cCv/3r/cZhoSVuu5GEFQDgCDoC6mBayt2SGnFDWB+6//3/7xm98+Qtf2B3/h9/93f/+H//j/uMwxZK2XMnDKm82cQAlEnAAlRoXZA1t3zAtZK8rz+wKTSvrww8++A+/6Zv+qy/7su74Y08++V//3b/7+Kc+1f8rOG1JW67Rt7SHVQlkHEBxBBwAhTMtlGDJDDm5rH/wuc/9mTe+8Wu/9Eu74//wu7/7yr/zd/q/JhZOW9KWa3hSARCZgAOo0biGrnz7hmmhBEtmyDmV/S+/+Iv/+Xd8x4sffbQ7/le/9Vtf++M/Lt3gTkvacg0Pq2LZxAGURcABUCDTQgnuniHPzoaDXl/WOZV99Yte9LPf8i2PPve53fHP/pt/86q/9/f+v6ee6v8VHHR3W4blYVUTpQSyJ+AAqjOuwOrcvmFaKEFXoXlFWlTWb3vxi9/zutf9Zw880B2/65d+6b/9iZ948umn+38FB6V7dvQt7WFVhf0mDoDsCTgACmFaKEFXoXlFWlrWN37lV77rT/2p/vh//Nmf/fMf+EB/THbyuG1nd+ZinlQ18kYVoBQCDqAu49qrnu0b/bRgTZm9rkJTi7TbDQdLy/o1X/Il//N/89/0x29473v/l3/1r/pj8nJ55256C8/ozJU2PU0A6Ag4gIqMa+tK0g3TQiHSDZD3PPg5n3P26lf3x9/zT/7J+z/ykf6YXPR37u2bN/ntnK4zD54vNbm4eO4P/uDl8XAAkJ/7hn8CVGBcdRUfcFg+lmNJqS53cDz22HAwx//wspf95T/5J7uD37+4+Mcf/Wj/wWO+46d/+tPPPDP8htim3Ln3pVh6JXqCeFK14HqVf+97v3c4StLJAHN5NgG1qCPdMDCUY2GpuhJ/93cPx4sCjn/5nd/5x57//OE3d3nBO9/pJ4+mMPfOjTYcJnqCeFJV70iJBRxA5rxFBSAD3VKy/0UJujrNLlW4Er/oi75oOCIHy8oaohNuWNKWCwRqY/J1ssTeqAJkTvgKVGFcaZW3fcMasShLqnW7xOt2cJCL9TdvoP8PPNFDxMOqetNKvN/E0bGPA8iMHRwAG+mWkgaGcnSlml2t0yWWbhSqL2uQm3f151nSlguEOl+yNafE+00cAPkRcADlG5dlxWzfMC0UpSvV7GopcZUilXXR51zSlnP15xvjlMnE0hJ7owqQLQEHQCpLl5JspSvV7GpNKbE2KE7sks385NG7R4tWT4mBSgk4gMKNS7Sst29YSpamq9a8gvUlnlLly78jliIku3mnfaHZnTlXsvNlK4FKbBMHkCcBB0BMpoXSdNWaVzAlrlJf1vSVPf4VZ3fmXJucLymFLrGMA8iQgAMo2bioynH7RuilJLF11ZpXMCWu0uZlvfXVZ3fmLP35bnvKRBWnxHHbEmApAQdAUHGWkkQ1e6WuxFXKp6zjK5ndmbPkc75EEqfEV9vyIZs4gMwIOIBijcupXLZvxFlKEtuMmvUlVuX65FfW7tVcxHtJ2rh6cUr8bFsOh4doKiADAg6A1UwLZbpjsX5VqBJf/Qmj3/Vdz/5iQ31ZM7t5r7Vl8NeW3/kSWJwSX2vL6/abOAAycN/wT4CyjAu4jbdvGBXKNKNsoUp851+ecnY2HJBAlnfuqdd037oFmydVC6JVecrnfep7v3c4WtmrAOt4BgFlGldymwUcBoYyzShbqBLfiDbe977h4DWvGQ5ukHREleWdO+k1LZsbPamqF7PE0z/1PuDoyDiA7XgAAQUa13MbpBumhWJNrVzYEh9LN66SdKSR5c077zXNmhs9rKoXs8QLPrVNHEAOPICAAo2ruqQBh2mhWFMrF7bEU6KNGyQdMeR65y5/WXdOjx5W1YtZ4jWfWsYBbM7TByjNuLBLl26YFoo1tXLBS7wg3bgk5ggl4zt37Ss7OD16UrUgZpXXf2oBB7A5Tx+gNOPyLkXAYWAo1tTKBS/xmmjjBknHYhnfucFe2dUB0pOqepFLHPCzyziAbXn0AEUZF3lx0w3TQskmFS9SiQOmG1dJOqbL+Ob1WGGJcqKNnp82CmzLcwcoR4J0Q7RRsknFKyvauKp75d/wDcPxDZKOTsY3r8cKS0Ru6Xif3SYOYEOeO0A5xtVelIAj4+mIKe6uX6QSx442Dr5sScelvO9cjxWWiNzVCdpSxgFsxUMHKMS44AufbuQ9IHGnu+sXr8RR0407X3bjMUfed67HCrPFb+lkbemNKsBWPHGAQowrv2ABR97TEVPcXcJ4Vd422rihtaQj75vXk4XZ4rd0+ra0iQPYhCcOUIJx8Rcm3ch7OmKKO0oYu8Tx0o2Vr7z6pCPvm9eThdmStPRWnSnjANLzuAFKMC4B1wYceU9HTHFHCWOXOFK0EfxlV5Z0ZH/nerIwW5Ku3rYzBRxAeh43QPbGVeCqdCP7AYk73VHC2CUuJdq4ofSkI/s715OFeVK1dCadKeMAEvOsAbI3LgeXBBzZT0dMcUcVE1Q5RrqRsjlLjDmyv3k9XJgnVUvn1pkyDiAlDxogb+OKcHa6kf10xBSnqpimxFF/mGgvZa8WkXSUcPN6vjBDqpbOsy0FHEBKHjRA3sZ14YyAo4TpiDudqmKyEidINxYIcvoZJh2F3LmeL8yQqqszb0sZB5CMpwyQsXFpODXdKGRA4rRTVUxW4jyjjWVOX7Qcko5C7lzPl8p1fRhw/E7V1UW05T7g6Mg4gJg8YoCMjQvEuwOOQgYkTjtVxZQlrindmO41rxkOboiadBRy53q+VO6yD9fP3glbuqy2tIkDSMMjBsjVuEw8lW4UMh0xxeFaJi5xm9HGVclijkJuXo+Ymt1uwjWzd8KWLrQtZRxAAp4vQK7GxeLhgKOQ6YgpDtcycYlFGzdESjrKuXM9Yqp1ogmXDd4Ju7rothRwAAl4vgBZGteLB9KNcgYk7nS4lulLLN04IVTSUc6d6xFTpykdOHfwTtvVFXSmjAOIzcMFyNK4arwWcJQzIHGnw7VMX2LRxnSLk45y7lyPmArNar+JU3fylq6pM2UcQFSeLEB+xrXjkG6UMx0xxYFyblVi6cZcfaWm/8Ur5dy8njK1WdZ7d47cyVu6vs4UcABRebIA+RlXkJ///d/fH1CHAyv1rQZg0cZctyt1OubYqrLzFfNCmWJl450YuZO3dMWdKeMA4vFYATIzLiKlGzU5sFLfagAWbcx1Z6WOJR2PPTYc5KriAbI5oZ4nB+dt0UZo+4CjI+MAgvJMATIj4KjLgZX6VtFGR7ox3YIyFZV0VD9DNiH4w+TqsL3Fk6qdtrSJA4jEMwXIiXSjIgdW6qKNIqwvU95JRzszZM0iPUz6YVu0kYSMA4jBAwXIhnSjFjdX6hvmGj3pxkTBK3U16bj6yef+FbOBbN2IrLb5wySCZttSwAHE4IECZEPAUb6bK3XRRimiVmrx3y8bTrMz5EJdP2Q1c9aYa3S0pYwDCM7TBMiDdKN81xbrOQwk0o07JS7TFkmHGXKeqy2x+cxZaa7R0ZaXZBxAWB4lQB4EHCW7tlgXbRRh2zIlSTrMkPMca4n0Y2e9uUZHW94g4ADC8igBMiDdKNZ+sZ7JTCLauFNW02OcpMMMOc+dLZFm8qw61+jpzINkHEBAniNABgQcBdqv1PMZS6Qbp+U8QAZKOgyQ80xviXiTZwO5RkdnnrAPODoyDmAdDxFga9KN0uxX6qKNIhQ0QK6IOQyQMyxuiYDDZxu5RkdnTmETBxCKhwiwNQFHOfYr9ayGE+nGMeXOkHOSDgPkDOtbYv38KdrgEBkHEIQnCLAp6UYhhjrlNpmINo6pZoa8K+kwQ04VsCWWzZ/N5BodbbmAgAMIwhME2JSAI3tDhUQbpah1jLyVdAznue7HkTYhUktMnEJbyjU6bZ1taDIOYD2PD2A70o28DeXJcD6RbtzWzhj5mtccPlVJxw0JWuLEFNpYrtFp7oTjkHEAK3l2ANsRcORqKIxoowgtTZL7Uw30t67UKWVL3JhC28s1Oi2eczQCDmAlzw5gI9KNXF1kO6JIN25oM9q4QdJx1VYtcTmLNhZwtHW2qcg4gDU8OICNCDjyI9oohmjjtsaTjs1bop9Fm+nMhu7A5PYBR0fGAczkqQFsQbqRmXyjjY504yrRxp2aSjqy6oduFm2gPxu6A7dycfHUW986HAs4gJk8NYAtCDiyIdooQ0u5RifM2daddDTWEplw0eO60tUyDmAZjwwgOelGHkQbZRBtrFRfzCHa2IKLHtGhlhZwAMt4ZADJCTi2lXWwcY90oyfaCKuCpEO0sQUXPaKTLS3jABbwvADSkm5sSLRRCtFGVMUlHXKNjbjuEU3rahkHMJeHBZDQlQWNgCOp/KONjnSjyTl2y3POP+kQbWzEdY9oTlcLOIC5PCyAhMZljXQjHdFGEUQb28ow6RBtbMR1j2VpS8s4gFk8KYBUpBsp3bvaBazURRuijXxkEnOINjbiuseyrqX3AUdHxgHcxWMCSEXAkUYp0Uan8XRDtJGtrZIO0cZGXPdYArW0TRzAdB4TQBLSjQTGi1zAYr3laKPVIbbI006TdMg1tuPSxxK6q2UcwESeEUASAo6oCoo2Os2mG6KNckVKOkQb23Hpo4jW0gIOYCLPCCA+6UYkV5aSZSzWRRuNqfC0QyUdoo1NufrhxW9pGQcwhQcEEJ+AI7jioo1Om+mGaKNKa2IO0camXP3wEra0jAO4k6cDEJl0IyzRRhEaHmIbOvOuyt/wDcPxDbeTjoZbIhMKEF7yrhZwAHfydAAiGxdAAo61riwli1mpizZa0sqZHyzxiaSj4ZbIhAIEtmlLyziA0zwagJjGZZB0Y7nrS8mSVuqtpRsNz7GtnPmUEh9LOh57bDggoXbvyUgyeMrtA46OjAO4xXMBiEnAsYZooxQNRxudJk5+QYklHZtq+p6MIaennE0cwAmeC0A00o3Fyo02Ok2lG6KN6q0ssZgjuabvyRiyfMrJOIBjPBSAaAQcC4g2itB2rtGp//yDl/hG0nH5+W/8ONLLaa35HlvAJQss4yYUcADHeCgAcYwLI+nGVNeXkoWt1EUbzaj//GOX+PRfMdtNa8332AIuWUiFdKCMAzjIEwGIY1whCTjucGgpWdhivZF0o/mxs/7zT1zi00kH07R+W4ZV2lNOxgHc5nEARCDdmEK0UQrRxvDPem1bYknHIq3flmGV+ZQTcAC3eRwAEQg4Tqsg2uhUn240n2t0Kr8EWZVYzDGHmzOYwh90Mg7gBs8CIDTpxgmijSKINkpsy1lyLrGk4yQ3Zxi1POX2AUdHxgEIOIDwBBy3HVlKFrnAvJpuiDZqVPklKKjEko7r3JxhVPeUs4kDuMqDAAhKunFDrdFGp7J0Q7RRaFtOV26Jm0863Jxh1PuUk3EAlzwFgHCkG1eJNoog1xjVfCGqqXJ7SYf7M4zaH3TeqAJc8ggAwhFw9GqKNjrV/8SNS62GHdWedsUFPZh01BVzNHo3htXSM80mDqDnEQAEIt04vpQsdY3ZTrSxTPnDQ7XTTyNzXaUbOtooXmQtRRuXZBxAx/0PBNJywFFftNGRbgSX08hR7fTT5FxXTdLRZPFCa/MWuEfAAXTc/0AIzaYbog3iiTOoVDv9NDzX7RWbdCheAG4BGQcg4ADCaDDgOLmULHWZKdooXZVteZqh7qBykg71W8stcJ2MAxrnzgdWayrduGspWfBKU7pRNNEGB2X840jVby23wCECDmicOx9YrZGAQ7RBnkQb3Cm/DR2BS3jZEo3MtG6Bk2Qc0DK3PbDOuMyqOd24aylZ9kpTulGuk51Z5wBkrlspg6QjcAlvt0TdM61bYIJ9wNGRcUBj3PPAOuNiq86A466lZNkrTdFGuU52ZoUDkKEuuC2SjpBVvLMl6htr3QVz2MQBzXLPAyuM660K0427lpJlrzRFG4Wquy2XMfWtlCTpCFmk6RWvY7LV4UvJOKBNbnhghXHhVU/AMWEpWfxiU7pRohY6Mw3j4jFxfhxpyMu9oHZFT7Z6dR0BB7TJDQ8sNa69Kkk3WhggRRslaqEzc9bakBluQ0fIC7eyCsXNt611XTQyDmiQux1YalyBFR9wNDJASjeK00hn1qeO6XRF0hHs/ANeyVLm2zqaJycyDmiNWx1YZFyElZ1uNDJAijbKMm3CMQYVrKwhdk7SEezEYlyinOfbslqiKAIOaI1bHVhkXI0VGXBMXkrWsOSUbhRkWmeahApW9Bx7MukIdmKxL1FuU27RLVGC7vp+SsYBLXGfA/ONC7Ly0o3JS8kalpyijYJM68wa2rJZNc2x15OO4cRW/zjSdJcokym3ppbI0uX13QccHRkH1M5NDsw3LstKCjgmLyVrWHKKNgoyrTNraMtm1TrH3os5Dpzb3KRjk+uz7ZRba0tk4/b1tYkD2uEmB2YaV2bFpBuTl5KVLDmlG0VorS3bVPUcuz+3xT+OdPPrk3jWrbofMnHiEss4oBHucGCmcYmWe8AxZylZyapTtFGEyZ1ZSVs2qPY59ujpTU868rlEaWbd2lsiB3deYgEHNMIdDswxrtKyTjfmLCXrWXVKN/I3uTPracvW1D7HTj29E0lHhpco6rhbe0vkYPollnFAC9zewGTjQi3fdGPOUrKeVadoI3+TO7OetmxN7XPswtM7mHQ89thwkJXgE69oI74Fl1jGAdVzbwOT5RxwiDY6oo3czJxw6unMpog27nRsQ0duSUeQiVeukcTiqyzggOq5t4Fp8kw3Wh4gpRs5E21Ur4E5NvwZ5p90rBl6RRtJrL/KMg6omxsbmCa3gEO0cUm0kRXRRvVEG+vdSDouL+ncv2I2krlzbwMtkYkgF3ofcHRkHFAddzUwwbh6yyLdaHyAlG5kq/HObEEDc2zqM3z1q4eDGzZPOibOvaKNVMJeaJs4oGLuamCCTAKO+UvJqtaeoo1siTaqJ9qI7WDSsW3McXr0FW2kEulCyzigVm5p4C45pBuNRxsd6UaGtGX12hhiMzrJDDd03Jh+5RoJRb3WAg6olVsauMuGAceipWRty0/RRoZEG9VrZo7N9DyzSjr6AVi0kVCaay3jgCq5n4GTtko3RBsd0UaGRBvVE21kJdsf0kEcidtSxgH1cTMDJ6UPOEQbPelGbkQb1RNt5EzSUbtN2lLAAfVxMwPHJU43RBs90UZWtGX1msk1OjWcaoY/jpR1NmjLK3f9p/7CXxiOZBxQBXcycFyagGPpdFHDSv026UY+dGb1RBvlsqGjChu05a27fh9wdGQcUD63MXBEgnTDAHmVaCMfOrN6oo1qSDrKtEFbHr/rbeKAmriNgSOiBhwGyKtEG/nQmdUTbdRK0lGIDdpywl0v44BquIeBQ+KlGwbIG6QbOVgx9FbbmfURbVSvL/FrXnPvN7dIOjKQujMn3/UCDqiGexg4ZFwTBAs4DJC3iTZyoDOrt6LEJWqxLY+V+GDSIebYSNLOXHTXyzigDm5g4JZxZRAm3Vg3XSRdEqUk3djcis6sti0rs+7hU5wW23JKiW3o2FrSzlx318s4oALuXuCWcX2wNuBYt85IuiRKSbSxuRWdWW1bVmbdw6c4LbblghJLOpJL2pkh7noBB1TA3QtcNy4RVqUb69YZSZdEiUk3NqQtWxBiyClLeye8+owlHfElbcugd72MA0rn1gWuuLJKWBJwrF5kJF0SJSba2NC6zqy5LasRdMIpRVvnHKPEko4I0rVlnLt+H3B0ZBxQIPctcMW4XJidbqxeZ6RbEqUn2tjQus6suS2rEWfIyVxb55ygxH4caQjp2jJyS9jEAUVz3wKjccUwL91Yvc5ItyTahHRjK+s6s/K2rEOCuTc/bZ1z4hLb0LFUujqlagkZB5TLTQuMxnXD1IBj9Toj7dI1OdHGVnRm9RLPvXlo65y3LbGkY7J0dUrbEgIOKJebFrhnXDpMSjcMkHeSbqQXYvlbf2cWbduhdzttnXZWVZZ0HJeoTtv1g4wDCuWOBe4Z1xCnAg4D5BSijfR0ZvWyGnoTaui0My+xpOO6FNXKoCVkHFAityuwX0YcTTcMkFOINtLTmdXLfO6NpqHTLqvEzf840hTVyqYlBBxQIrcrsF9MHAg4Aq0zilrALiLdSCxEZ9bflkUra+4Np6HTLrfETW7oSFGt/FpCxgHFca9C88b1xM10I9A6o9gF7GSijZS0ZfXKHXpXa+jMq6lyG0lH9Gpl3A/7gKMj44ASuFGheePCYgg4wq0zalnAnnQj3Xj/+4eDYxoe3tYKdOkUIF8N3x2tnHnFJa406YhesBJawiYOKIsbFdo2ri2eTTfCrTPqXcNeMTfaWKbhkW8v0EVwKfPVdp83cfLtlLiWpCN6wYpqCRkHFMRdCm0bVxif/5f+Un+wUitr2DTpxg0NDoGBTrm9C1eOBrv6iiZOvtkSF/vjSKMXrMCWEHBAQdyl0LBxkREk3WhlDSvaSCDc+TZ24YrS7Nx7TxMn33aJByc2dFxen2xm5ugFK7klZBxQCrcoNGxcaqwMOFpZw6aPNhocD8KdcnvXrhANdvV19Z9/8yU+7FjS8dhjz/7v1jNz3JrV0hIyDiiC+xNaNS441qQbDS1jE6cbDU4IQU+5vctXgubn3vrPv/kST5LZD+mIW7O6WkLAAUVwf0KrxmXHsoCjoWWsaCOxdVeg+cuXpea7uv7z9+BaYOukI27NKm0JGQfkz80JTRpXHgvSjbaWsSnTDRPCYvcuncuXo+a7uv7z9+Ba72rScXk9z8+Hgzgilq3qltgHHB0ZB2TJnQlNGtcfswKOtpaxyaIN48Fqs6+gax6bK1z9A1OJg3v1q4eDG0InHbEq10xL2MQBmXNnQnvGVYh04zDRRjkSXUGVms61qv5pqcSxRUs6YlWuvZaQcUDO3JbQnnEtMjHgaGvlkibdMCGslvUVbLO+urr6p6USJxYu6YhVuVZbwhtVIGfuSWjMuByZkm60tXIRbRQi9yvYYIl19T01XwUl3taKpCNW5ZpvCZs4IFvuSWjJuCK5M91obuUSO90wHoSQ+0Vsrcq6elTzhVDlrBxMOo7EHFEqpx+ukHFAntyQ0JJxaXIi4Ghu8SLaKEHWF7HBEuvqUbUXQolzdteGjijF0xK3CDggT25IaMa4OjmWbrS4eImablgOhpD1RWywxLp6VO2FUOKC3Eo6huKt/nGk12iJ42QckCF3IzRjXKPcDjhaXLyINkqQ73VU4tuauSbVnqeuLterX324eCuTDi0xgYwDcuNWhDaMy5Qb6UaLixfRRgnyvY5KHEqBV7La2uvqkl0rXpC/eEU/zCHggNy4FaEN43rlMuBodP0SKd2wHAwn00upxJvbtAR1ll9XF+5U/eb8ONI9LbGIjAOy4j6EBoxLlj7daHT9ItrIXqaXUokLFahwdZZfV5fvjhL2JX7Na+795pbbSYeWWGEfcHRkHLA1NyE0YFy4PHzkx4vWL0a6YTkYTqaXUomrd7LEdZZfV5fvjhIeLPGJpENLhGATB+TDTQi1G9cujaYboo28ZXoplbh6J0tcZ/l1dfnuKOGUEh9LOs7OhgOWknFAJtyBULtxxdNcwBE82jAeBJXj1VTiFpyscoUdoKurcEcVF1RZ0hGagAMy4Q6Eqo2LHunGcLCMCSGoHK+mEldvQolrawJdXYVTVQxS4oNJh5hjERkH5MDtB1UbVz8NBRyijYzleDWVuHoTSlxbE+jqKpyqYvAS29ARiIwDNufeg3qNCyDpxhImhKByvJpKXL0JJW69CdwFWTpVldglk3SsI+CAzbn3oF7jMqiJgCNUtGG5H1p2F1SJWzChyvpgCbdPZKeub+KLL+lYSsYB23LjQaXGlZB0YyoL9wjyuqZKXL1pJdYH6bjpJjt6pTa/hpKOmfYBR0fGAcm566BS45Ko8oBDtJGrvK6pEldvWon1Qe6avFWPnnNuV8OPI53MJg7YkLsOajSuimpON0Qbucrrmipx9aaVWB8UrOq7+PC55XzKNnRMI+OArbjloEbj2qjagGNlumHojSOvy6rK1ZtWYn1QsKrv4sPnVtApSzpOEnDAVtxyUJ1xeVRnuiHayFJGl1WJqze5xFqhYFXfyAfOrejzlXQcdHHxqe/7vuFYxgEJud+gOuM6qcKAY026Ye6NI6PLqsTVm1xirVCq2u/iA6dX0ylLOjrXCyrjgPTcbFCX8TtrbemGaCM/GV1WJa7e5BJrhVLVfhefOr36zr3ZH0d6q5QCDkjPzQYVGb+zVpVuiDbyk9FlVeLqzSmxbihS7Xdx+NMr5Yo1uKHjUGlkHJCYOw0qMn5nrSfgWJZu1L5c3lAuV1aJqzezxBqiSLXfyB6Yg3aSjkOXeh9wdGQcEJ/bDGoxflutJN0QbWTGSp1EZpZYQ5Sngbu47DOMV6Dqk44jl84mDkjJbQa1GL+t1hBwLEg3GlgxbyWXK6vE1ZtZYg1Rngbu4hbbckFZa006jl8KGQck4x6DKozfU4tPN0Qbmcni4ipx9WaWWEOUp4G7uPW2XFbiyn4c6fGLIOCAZNxjUIXxe2rZAcesdKOB5fK2tr++StyCmVXWE+Vp4EZuvS3Xl7iaDR0nL4WMA9Jwg0H5xm+oBacboo2cbH99lbh680usJwrTzF3cdGcGr/KNpOPy85+fDweZu+uCyDggAXcXlG/8hlpkwCHayMn211eJqze/xHqiMM3cxe12ZoISv/rVw8ENmScdd10ZAQck4O6Cwo3fTStPN5pZMW9l++urxNWbX2I9UZhm7uJ2OzN9ictKOiZcHxkHxObWgsKN300LCzgmRhvNLJc3tP0lVuXqzS+xnihMM3dxu525eYkPJh35xByTr88+4OjIOCAC9xWUbPyGWmG60cxyeUMbX2Ilrt7SEuuMYrR0F7fblllVOcMNHfOvj00cEJX7Cko2flstJuAQbeRh40usxNVbWmKdUYyW7uJG2zLzEueQdKy4RDIOiMdNBcUav7OWkW6INvKw8SVW4uotLbHOKEZLd3GjbVlWiTdJOlZfIgEHxOOmgmKN318LCDhOpxstLZc3tPFVVuXqLS2xzihGS3dxo21ZdInTJB3hLpGMAyJxR0GZxm+xuacboo0MbHmVlbh6K0qsOYrR0o3caFvWVOIYP440zvWRcUAMbico0/i9NuuA40S60dJyeVubXWglrt6KEmuOMjR2F7fYlhWXONSGjpiXSMABMbidoEDjt9t80w3RRgY2u9BKXL0VJdYcZWjsLm6xLdsp8eKkI8klknFAcO4lKND4TTfTgONYutHYinlDm11oJa7eihJrjjK0dxe3d8Kt3ovTk46El2gfcHRkHBCCGwlKM37fzTHdEG1sbZsLrb7VW1di/VGG9m7k9k7YvXjPsaTj7Gw4SMsmDgjLjQSlGRcoeQUcp3+Y6FwWYfNtc8lUqnrrSqw/CtDkXdzWOXtQH5NN0iHjgIDcRVCUcZlSc7qxTMMLuG3O3Iq5eutKrD8K0ORd3NY5e1BPkUHMIeCAgNxFUI5xpZJRupFDtLFMFcu+bc7Birl6q0usRXLX5F3c1jl7UC+wRdJxWadPyzggELcQlGNcr+QScJSbbiyQ2WJxg1djudyC1VXWJblr8kZu65w9q9dLknTcrpOMA4Jw/0AhxiVLFulGU9HGDVuvHTf48pbL1QtRYl2StVbv4rZO27M6uGhJx8FSCTggCPcPFGJcuGwccIg2trPBl7dcrl6IEuuSrLV6Fzd02h7UCYRLOk5XS8YB67l5oATj8kW6sY0Mlo+pX4EVc/VClFiXZK3Vu7ih0/agTmxdzDGlWvuAoyPjgEXcOVCCcRGzWcAh2thO6ldgxVy9ECXWJVlr9S5u6LQ9qLc1M+mYVS2bOGAldw5kb1zHSDfSyWPtuPGLsICuTKCCaot8tX3PtnLynsxZuSvpWFYtGQes4baB7I2rmQ0CDtHGRopcwFp2ZytQaRQ4X23ffU2cvAds5m4lHUPBFv04UgEHrOG2gbyNaxrpRnR5LB/bWsNasscW6AqrU77avomaOHnPybK8+tWHCzYz6ZBxwGLuGcjbuLJJGnCINrZgDXs3C/3pAl0rVzxfbd8OTZy8J15p9gUL8beuyDhgGTcMZGxc3KRLN5qKNrJZO1rDxtLgeBDulLVlvtqee5s4+bZLXKKjBVuRdAg4YBk3DGRsXOIkCjjaSTeyWTtaw8bS4HgQ9JR1Zo6aH3rrP//mS1yiqTVblHTIOGABdwvkalzopEg3RBvJWcbG0uCEEPSUdWaOmp976z//5ktconk1uyzxa14zHNxwKOnYBxwdGQdM41aBXI3fC6MHHI2kG9ksHy1jY2lwQgh6yjozRw129XX1n3/zJS7UjLIdK/G0pMMmDpjLrQJZGr8dxk03RBtpWcbG0uCEEPSUdWaOGuzq6+o//+ZLXKgZZZtS4gkxh4wDZnGfQJbGb4qxAo4Woo3M1o5WsuEZD26beU1cwezo6urbUomLNaNyC6p8POnwRhWYxU0C+Rm/L0o3Fsps+WgxG54JYbXhCrqS+VCL6p+WSlysqZULUuJDScenH310OBJwwF3cJJCf8Rtk+IBDtJGWxWx4JoTV1l5BJQjOJb2n5qugxMWaWrkIJf70d37ncHSDjANOcodAZsbvkdKNeTJbPlrMhmdCWG2bK6hwJ7g499R8FZS4WBMr9+k3vWk4SkbAASe5QyAnV1ZCIQOOiqON/NaOFrOBGQ9CyP0itlZlXT2q+UKocjY+lT6DiErAASe5QyAn43pIunG3/NaOFrOBGQ9CyPoiNlhiXT2q9kIo8VK1xRBTZB9V/PE//sc//OEPP/XUU4888sjwIciegAOyMa6KgqUboo1UrGcDMyEEku91bLDEunpU7YVooMQtZhCdVndMPPzww7/wC7/w4he/+JOf/KSAg4IIOCAb49ooQMAh2kjFyBKYITCQfK9jgyXW1aNqL0RmJbYVgvUeeuih973vfa985Su7YwEHZfE4gDyMyyPpxgFZjgdGlsAMgYHkex1bK7GWvqLaa7G0yrZCkLNHH330p3/6p7/6q7+6/62Ag7J40EAexkXSqoBDtJGEqSUkQ2A4mV5KJb5T1Zeo6HP71Hd8x3DUDhlE897whjf86I/+6POf//zh9wIOSuMpBhmQbtwm2qieuTecTC+lEsdTwrVN8xJbzCA6YggieMlLXvI3/sbf+Jqv+Zr+t3/zb/7N17/+9c9//vMFHJTF8xEysDLgEG0kYVYLxtwbTq53ixJnJm1Fbn8xWyEgf+9617ve/OY3dwe/9Vu/9ef+3J/7iZ/4iU984hMCDorj4QtbW5Nu1BRtZDwRmdWCMfeGk+mlVOJiPfVn/sxw1BQxBIze9a53ffu3f/uP/MiPvP3tb3/yySe7jwg4KJHHOmxtccBRTboh2qieoTeoHK+mEqfSYgwhg4Akvuqrvupf/+t//du//dvD7wUclMn3DNjUsnRDtBGfcS0Mc29QOV5NJb7FVgigDgIOSuS7EWxqQcBRR7oh2qieuTeoHK9m4SW2FQLgNAEHJfKtDrYzN90QbURmIg9DtBFUjlczVYlthQDYkICDEvkmCtuZFXCUnm7kPfSayAOQa0SQ3TU9VGVbIQCqJOCgRL5Dw0ampxuijZgM5QGINiIIe02f+vZvH47aIYMAWEfAQYl8+4eNTAk4RBsxGcoDEG0E9XtiCACyIeCgRBYWsIXq0w3RRvVajTZkEAA0QsBBiaxaYAunA45yo40Shl7pxiollLjFDKIjhgAgKAEHJbIeguSqTDdEG9ULXWJbIQAgZwIOSmSxBckdCzhEG9GINpb5vW/7tuGoKWIIABBwUCbLOEjrYLoh2oimhWijxRhCBgEAkQk4KJE1IiR0O93oPvLd3z0c9/JPN0rINTpZvUpbIQCAsgg4KJHVJyR0NeAQbUSz+FXaCgEA0BNwUCJLW0jlMt34i3/x2X+UlW5kE208aSsEAEB8Ag5KZNEMqVwGHI8/3h8Maow2WowhZBAAALApK3JI4mC6sWm08eS3futw1BQxBAAAVMpaH5K4HXBMSzdajCFkEAAAwHwGCYgvmx9gEZIYAgAAyMn9wz+B5zznTW9608/8zM888cQTTz/9dPe/3fF3fdd33X9/sbfJffdF/AUAAADk5gUveMEHP/jBi0N+5Vd+5Y/+0T86/LllLi5O/QIAAABY7+GHH/7IRz7Sxxm//Mu/vNvtXvva177pTW/6xV/8xf6DH//4xx999NHhTwMAAABk6G1ve1sfZLz3ve+98YaUH/3RH+3/1fn5+fAhAAAAgNw88MADTz755MXFRfe/jzzyyPDR0f333/+xj32s+7dPP/109yeHjwIAAJAZP2SU1n3d133dc5/73O7gJ3/yJ5944on+g5c++9nP/vzP/3x38Lmf+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the pentagon (with the minimum number of triangles)","description":"Problem statement\r\n\r\nAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set V, corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\r\n\r\nV = [1 0 0;\r\n cos(2*pi/5) sin(2*pi/5) 0;\r\n cos(4*pi/5) sin(4*pi/5) 0;\r\n cos(4*pi/5) sin(-4*pi/5) 0;\r\n cos(2*pi/5) sin(-2*pi/5) 0];\r\n\r\nA triangulated mesh T (stands for triangles here) -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, F. The row order of the triangles in the list doesn't matter.\r\n\r\nExample\r\nThe first triangle here can be [1, 2, 3] if counterclockwise oriented.\r\n\r\n\r\n\r\n\r\nTip\r\nBeware to avoid self intersecting triangles.\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1278.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 639.2px; transform-origin: 408px 639.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.525px 8px; transform-origin: 327.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.09167px 8px; transform-origin: 6.09167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eV,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.2417px 8px; transform-origin: 48.2417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 102.167px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 51.0833px; transform-origin: 405px 51.0833px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eV = [1 0 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e cos(2*pi/5) sin(2*pi/5) 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e cos(4*pi/5) sin(4*pi/5) 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 123.2px 8.5px; tab-size: 4; transform-origin: 123.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e cos(4*pi/5) sin(-4*pi/5) 0;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 127.05px 8.5px; tab-size: 4; transform-origin: 127.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e cos(2*pi/5) sin(-2*pi/5) 0];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.1833px 8px; transform-origin: 64.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 176.983px 8px; transform-origin: 176.983px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.633px 8px; transform-origin: 132.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384.442px 8px; transform-origin: 384.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.25833px 8px; transform-origin: 7.25833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.9583px 8px; transform-origin: 92.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.8583px 8px; transform-origin: 89.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 339.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 169.75px; text-align: left; transform-origin: 385px 169.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"445\" height=\"334\" style=\"vertical-align: baseline;width: 445px;height: 334px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 131.092px 8px; transform-origin: 131.092px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBeware to avoid self intersecting triangles.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_pentagon()\r\n T = 1;\r\nend","test_suite":"%%\r\nT_correct1 = [1 2 3;\r\n 1 3 4;\r\n 1 4 5];\r\n\r\nT_correct2 = [2 3 4;\r\n 2 4 5;\r\n 2 5 1];\r\n\r\nT_correct3 = [3 4 5;\r\n 3 5 1;\r\n 3 1 2];\r\n\r\nT_correct4 = [3 4 5;\r\n 3 5 1;\r\n 3 1 2];\r\n\r\nT_correct5 = [5 1 2;\r\n 5 2 3;\r\n 5 3 4];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct1,2)))...\r\n | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct2,2)))...\r\n | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct3,2)))...\r\n | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct4,2)))...\r\n | isequal(sortrows(sort(mesh_the_pentagon(),2)),sortrows(sort(T_correct5,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_pentagon.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":6,"created_by":149128,"edited_by":149128,"edited_at":"2025-08-13T05:29:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":"2025-08-13T05:29:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T12:59:46.000Z","updated_at":"2026-02-10T17:07:57.000Z","published_at":"2025-07-23T15:54:36.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eV,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e corresponding to the XYZ coordinates column vectors of a pentagon included in the unit circle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[V = [1 0 0;\\n cos(2*pi/5) sin(2*pi/5) 0;\\n cos(4*pi/5) sin(4*pi/5) 0;\\n cos(4*pi/5) sin(-4*pi/5) 0;\\n cos(2*pi/5) sin(-2*pi/5) 0];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for triangles here) -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this pentagon with the minimum possible number of triangles. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"334\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"445\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBeware to avoid self intersecting triangles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh 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prime number couples","description":"Given a vector a, which will always contain at least one pair of prime numbers couple, return a matrix called 'couple' in which each row contains one pair of prime couples. A prime number couple pair are two prime numbers with a difference of two between them. Keep in mind that the numbers 2, 3, 5, and 7 are prime numbers.\r\n\r\nFor example, if a=[1 2 3 6 11 13 101 103], the output should be couple=[11 13; 101 103].","description_html":"\u003cp\u003eGiven a vector a, which will always contain at least one pair of prime numbers couple, return a matrix called 'couple' in which each row contains one pair of prime couples. A prime number couple pair are two prime numbers with a difference of two between them. Keep in mind that the numbers 2, 3, 5, and 7 are prime numbers.\u003c/p\u003e\u003cp\u003eFor example, if a=[1 2 3 6 11 13 101 103], the output should be couple=[11 13; 101 103].\u003c/p\u003e","function_template":"function couple = find_prime_couples(a)\r\n\r\nend","test_suite":"%%\r\na=[1 4 6 7 8 11 13 16 23 29 31];\r\ncouple=[11 13; 29 31];\r\nassert(isequal(find_prime_couples(a),couple))\r\n%%\r\na=[16\t97\t88\t49\t41\t13\t93\t1\t19\t33\t6\t15\t73\t49\t34\t24\t46\t19\t33\t27\t84\t70\t34\t59\t29\t27\t26\t68\t52\t8\t6\t26\t44\t29\t68\t95\t78\t64\t76\t75\t59\t78\t40\t61\t25\t30\t2\t35\t15\t42\t16\t83\t74\t10\t83\t23\t11\t67\t96\t82\t63\t33\t28\t44\t36\t88\t1\t70\t34\t31\t65\t93\t90\t100\t8\t13\t99\t10\t69\t93\t15\t89\t2\t35\t24\t99\t85\t80\t91\t79\t84\t33\t75\t67\t29\t34\t91\t4\t70\t21];\r\ncouple=[11 13; 29 31; 59 61];\r\nassert(isequal(find_prime_couples(a),couple))\r\n%%\r\na=[2 3\t5 7\t11\t13\t17\t19\t23\t29\t31\t37\t41\t43\t47\t53\t59\t61\t67\t71\t73\t79\t83\t89\t97\t101\t103\t107\t109\t113\t127\t131\t137\t139\t149\t151\t157\t163\t167\t173\t179\t181\t191\t193\t197\t199];\r\ncouple=[3\t5;\r\n5\t7;\r\n11\t13;\r\n17\t19;\r\n29\t31;\r\n41\t43;\r\n59\t61;\r\n71\t73;\r\n101\t103;\r\n107\t109;\r\n137\t139;\r\n149\t151;\r\n179\t181;\r\n191\t193;\r\n197\t199];\r\nassert(isequal(find_prime_couples(a),couple))","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":183778,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":26,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2018-06-06T14:10:53.000Z","updated_at":"2026-01-09T19:11:22.000Z","published_at":"2018-06-06T14:10:53.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a vector a, which will always contain at least one pair of prime numbers couple, return a matrix called 'couple' in which each row contains one pair of prime couples. A prime number couple pair are two prime numbers with a difference of two between them. Keep in mind that the numbers 2, 3, 5, and 7 are prime numbers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, if a=[1 2 3 6 11 13 101 103], the output should be couple=[11 13; 101 103].\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"},{"id":60939,"title":"Frequencies of prime gaps","description":"Problem statement\r\n\r\nGiven two positive integers n and , write a function which computes the frequency of the gap between two consecutive of the primes in the prime vector going from 2 to n.\r\n\r\nExamples\r\n\r\nFor n = 100 and = 2, your function should return f = 1/3 since one third of the prime gaps between 2 and 97 equal ;\r\nFor n = 1000 and = 6, your function should return f = 44/167;\r\n\r\n\r\nSee also\r\nProblem 60940. Find the first occurence of a given gap between two consecutive prime numbers\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 414.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 207.367px; transform-origin: 408px 207.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 85.575px 8px; transform-origin: 85.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven two positive integers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003eΔ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 180.475px 8px; transform-origin: 180.475px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewrite a function which computes the frequency of the gap \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003eΔ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 81.7833px 8px; transform-origin: 81.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e between two consecutive of the primes in the prime vector going from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 12.4417px 8px; transform-origin: 12.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.4833px 8px; transform-origin: 25.4833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en = 100 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003eΔ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 9.925px 8px; transform-origin: 9.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e= 2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 86.7417px 8px; transform-origin: 86.7417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, your function should return\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.5833px 8px; transform-origin: 21.5833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e f = 1/3\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 133.808px 8px; transform-origin: 133.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e since one third of the prime gaps between \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 9.725px 8px; transform-origin: 9.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 97\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e equal \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003eΔ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 55.4333px 8px; transform-origin: 55.4333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor n = 1000 and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003eΔ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 9.925px 8px; transform-origin: 9.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e= 6\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 86.7417px 8px; transform-origin: 86.7417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, your function should return\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.8583px 8px; transform-origin: 11.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e f = \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 9.725px 8px; transform-origin: 9.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e44/\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e167;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60940-find-the-first-occurence-of-a-given-gap-between-two-consecutive-prime-numbers\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 60940. Find the first occurence of a given gap between two consecutive prime numbers\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function f = frequencies_of_prime_gaps(delta, n)\r\n f = delta*n;\r\nend","test_suite":"%%\r\ndelta = 2;\r\nn = 100;\r\nf_correct = 1/3;\r\nfrequencies_of_prime_gaps(delta,n)\r\nassert(isequal(frequencies_of_prime_gaps(delta,n),f_correct))\r\n\r\n%%\r\ndelta = 2;\r\nn = 200;\r\nf_correct = 15/45;\r\nfrequencies_of_prime_gaps(delta,n)\r\nassert(isequal(frequencies_of_prime_gaps(delta,n),f_correct))\r\n\r\n%%\r\ndelta = 6;\r\nn = 1000;\r\nf_correct = 44/167;\r\nfrequencies_of_prime_gaps(delta,n)\r\nassert(isequal(frequencies_of_prime_gaps(delta,n),f_correct))\r\n\r\n%%\r\ndelta = 4;\r\nn = 200;\r\nf_correct = 13/45;\r\nfrequencies_of_prime_gaps(delta,n)\r\nassert(isequal(frequencies_of_prime_gaps(delta,n),f_correct))\r\n\r\n%%\r\ndelta = 24;\r\nn = 10000;\r\nf_correct = 15/1228;\r\nfrequencies_of_prime_gaps(delta,n)\r\nassert(isequal(frequencies_of_prime_gaps(delta,n),f_correct))\r\n\r\n%%\r\ndelta = 1;\r\nn = 100;\r\nf_correct = 1/24;\r\nfrequencies_of_prime_gaps(delta,n)\r\nassert(isequal(frequencies_of_prime_gaps(delta,n),f_correct))\r\n\r\n%%\r\ndelta = 3;\r\nn = 100;\r\nf_correct = 0;\r\nfrequencies_of_prime_gaps(delta,n)\r\nassert(isequal(frequencies_of_prime_gaps(delta,n),f_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('frequencies_of_prime_gaps.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":3,"comments_count":2,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T06:48:50.000Z","deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":"2025-07-09T05:56:16.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-24T10:21:21.000Z","updated_at":"2026-03-16T13:25:01.000Z","published_at":"2025-06-24T11:07:25.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven two positive integers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ewrite a function which computes the frequency of the gap \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e between two consecutive of the primes in the prime vector going from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 100 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e= 2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, your function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 1/3\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e since one third of the prime gaps between \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 97\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e equal \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor n = 1000 and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e= 6\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, your function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e44/\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e167;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60940-find-the-first-occurence-of-a-given-gap-between-two-consecutive-prime-numbers\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 60940. Find the first occurence of a given gap between two consecutive prime numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45259,"title":"Build edges list","description":"Input T is a triangulation connectivity indices list (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\r\nThe purpose of this function is to query the list E of all the edges.\r\nFor instance if T = [1, 2, 3; 4, 5, 6; 7, 8, 9], then the output of the function must be E = [1, 2; 1, 3; 2, 3; 4, 5; 4, 6; 5, 6; 7, 8; 7, 9; 8, 9] (all the 3 possible combination of the 3 vertices of a triangle / row, for every triangle / row of the list).\r\nHypothesis on output E :\r\nsize(E) = [N, 2], with N the number of edges\r\nE doesn't need to be ordered neither following dimension 1 (rows) nor dimension 2 (columns), but must not contain duplicated edges\r\nEdges are symmetric : [e1, e2] is the same edge as [e2, e1]\r\nEvery indices are positive, distinct integers.\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 366.167px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 183.083px; transform-origin: 408px 183.083px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 367.967px 8px; transform-origin: 367.967px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInput T is a triangulation connectivity indices list (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 200.692px 8px; transform-origin: 200.692px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe purpose of this function is to query the list E of all the edges.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384.55px 8px; transform-origin: 384.55px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor instance if T = [1, 2, 3; 4, 5, 6; 7, 8, 9], then the output of the function must be E = [1, 2; 1, 3; 2, 3; 4, 5; 4, 6; 5, 6; 7, 8; 7, 9; 8, 9] (all the 3 possible combination of the 3 vertices of a triangle / row, for every triangle / row of the list).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.8083px 8px; transform-origin: 82.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHypothesis on output E :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.167px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 51.0833px; transform-origin: 392px 51.0833px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 135.933px 8px; transform-origin: 135.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esize(E) = [N, 2], with N the number of edges\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 318.758px 8px; transform-origin: 318.758px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eE doesn't need to be ordered neither following dimension 1 (rows) nor dimension 2 (columns), but must\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 39.65px 8px; transform-origin: 39.65px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003enot contain duplicated edges\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 194.858px 8px; transform-origin: 194.858px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdges are symmetric : [e1, e2] is the same edge as [e2, e1]\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 133.808px 8px; transform-origin: 133.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEvery indices are positive, distinct integers.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function E = query_edges_list(T)\r\n E = T;\r\nend","test_suite":"%% Description example\r\nT = [1, 2, 3;...\r\n 4, 5, 6;...\r\n 7, 8, 9];\r\n \r\nE = [1, 2;...\r\n 1, 3;...\r\n 2, 3;...\r\n 4, 5;...\r\n 4, 6;...\r\n 5, 6;...\r\n 7, 8;...\r\n 7, 9;...\r\n 8, 9];\r\n\r\nassert(isequal(sortrows(sort(query_edges_list(T),2)),E))\r\n\r\n%% Another test\r\nT = [2, 3, 5;...\r\n 7, 11, 13;...\r\n 17, 19, 23];\r\n \r\nE = [2, 3;...\r\n 2, 5;...\r\n 3, 5;...\r\n 7, 11;...\r\n 7, 13;...\r\n 11, 13;...\r\n 17, 19;...\r\n 17, 23;...\r\n 19, 23];\r\n\r\nassert(isequal(sortrows(sort(query_edges_list(T),2)),E))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('query_edges_list.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:49:28.000Z","deleted_by":null,"deleted_at":null,"solvers_count":40,"test_suite_updated_at":"2025-07-09T05:51:51.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-01-08T15:52:04.000Z","updated_at":"2025-12-07T21:53:51.000Z","published_at":"2020-01-08T17:13:08.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput T is a triangulation connectivity indices list (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe purpose of this function is to query the list E of all the edges.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor instance if T = [1, 2, 3; 4, 5, 6; 7, 8, 9], then the output of the function must be E = [1, 2; 1, 3; 2, 3; 4, 5; 4, 6; 5, 6; 7, 8; 7, 9; 8, 9] (all the 3 possible combination of the 3 vertices of a triangle / row, for every triangle / row of the list).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHypothesis on output E :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esize(E) = [N, 2], with N the number of edges\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eE doesn't need to be ordered neither following dimension 1 (rows) nor dimension 2 (columns), but must\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enot contain duplicated edges\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdges are symmetric : [e1, e2] is the same edge as [e2, e1]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEvery indices are positive, distinct integers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60985,"title":"Mesh the dodecahedron","description":"Problem statement\r\n\r\nAn dodecahedron is a regular polyhedron with 20 vertices and 12 pentagonal faces. It is also one of the five well known platonic solids. \r\nA pentagonal mesh is simply a N x 5 matrix of positive integers where each row contains the vertex indices of a pentagonal face, and where N is the number of faces / pentagons. \r\n\r\nYour task here is to mesh this octahedron. To do so, you will list the pentagons/rows in a matrix of faces, F.\r\nThe row order of the faces in the list doesn't matter.\r\n\r\nTip\r\nVertex indices are written on the figure below; use it to help you visualize;\r\nYou can start with the top [1 2 3 4 5] and bottom pentagons, they are the easiest ones to identify here.\r\n\r\n\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1057.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 528.55px; transform-origin: 408px 528.55px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 370.717px 8px; transform-origin: 370.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn dodecahedron is a regular polyhedron with 20 vertices and 12 pentagonal faces. It is also one of the five well known platonic solids. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.8583px 8px; transform-origin: 96.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA pentagonal mesh is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 280.45px 8px; transform-origin: 280.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 5 matrix of positive integers where each row contains the vertex indices of a pentagonal face, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.175px 8px; transform-origin: 113.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of faces / pentagons. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 323.733px 8px; transform-origin: 323.733px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this octahedron. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.31667px 8px; transform-origin: 5.31667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 158.842px 8px; transform-origin: 158.842px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the faces in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 226.783px 8px; transform-origin: 226.783px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eVertex indices are written on the figure below; use it to help you visualize;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 314.783px 8px; transform-origin: 314.783px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou can start with the top [1 2 3 4 5] and bottom pentagons, they are the easiest ones to identify here.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 340.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 170.25px; text-align: left; transform-origin: 385px 170.25px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"447\" height=\"335\" style=\"vertical-align: baseline;width: 447px;height: 335px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = mesh_the_dodecahedron()\r\n F = 1;\r\nend","test_suite":"%%\r\nF_correct = [1 2 3 4 5;\r\n 10 9 8 7 6; \r\n 11 12 13 2 1;\r\n 13 14 15 3 2;\r\n 15 16 17 4 3;\r\n 17 18 19 5 4;\r\n 19 20 11 1 5; \r\n 6 7 18 17 16;\r\n 7 8 20 19 18;\r\n 8 9 12 11 20;\r\n 9 10 14 13 12;\r\n 10 6 16 15 14];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_dodecahedron(),2)),sortrows(sort(F_correct,2))))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_dodecahedron.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:45:50.000Z","deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:09:36.000Z","updated_at":"2026-02-13T17:46:40.000Z","published_at":"2025-07-24T13:28:17.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn dodecahedron is a regular polyhedron with 20 vertices and 12 pentagonal faces. It is also one of the five well known platonic solids. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA pentagonal mesh is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 5 matrix of positive integers where each row contains the vertex indices of a pentagonal face, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of faces / pentagons. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this octahedron. To do so, you will list the pentagons/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the faces in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eVertex indices are written on the figure below; use it to help you visualize;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou can start with the top [1 2 3 4 5] and bottom pentagons, they are the easiest ones to identify here.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"335\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"447\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId 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the icosahedron","description":"Problem statement\r\n\r\nAn icosahedron is a regular polyhedron with 12 vertices and 20 triangular faces. It is also one of the five well known platonic solids. \r\nA triangulation, or triangulated mesh, is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this icosahedron. To do so, you will list the triangles/rows in a matrix of triangles, T.\r\nThe row order of the triangles in the list doesn't matter.\r\n\r\nTip\r\nVertex indices are written on the figure below; use it to help you visualize;\r\nYou can start with the triangles of the top cap and bottom cap, they are the easiest ones to identify here.\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 996.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 498.05px; transform-origin: 408px 498.05px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 384.717px 8px; transform-origin: 384.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn icosahedron is a regular polyhedron with 12 vertices and 20 triangular faces. It is also one of the five well known platonic solids. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 150.925px 8px; transform-origin: 150.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulation, or triangulated mesh, is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.017px 8px; transform-origin: 229.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 334.633px 8px; transform-origin: 334.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this icosahedron. To do so, you will list the triangles/rows in a matrix of triangles, T\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 226.783px 8px; transform-origin: 226.783px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eVertex indices are written on the figure below; use it to help you visualize;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 321.4px 8px; transform-origin: 321.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou can start with the triangles of the top cap and bottom cap, they are the easiest ones to identify here.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 339.5px; font-family: Helvetica, Arial, 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_icosahedron()\r\n T = 1;\r\nend","test_suite":"%%\r\nT_correct = [1 2 3;\r\n 1 3 4;\r\n 1 4 5;\r\n 1 5 6;\r\n 1 6 2; \r\n 8 7 9;\r\n 7 10 9;\r\n 7 11 10;\r\n 7 12 11;\r\n 7 8 12; \r\n 2 11 3;\r\n 3 11 12\r\n 3 12 4;\r\n 4 12 8;\r\n 4 8 5;\r\n 5 8 9;\r\n 5 9 6;\r\n 6 9 10;\r\n 2 6 10;\r\n 2 10 11];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_icosahedron(),2)),sortrows(sort(T_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_icosahedron.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:46:02.000Z","deleted_by":null,"deleted_at":null,"solvers_count":24,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:09:09.000Z","updated_at":"2026-02-13T17:44:47.000Z","published_at":"2025-07-24T14:11:48.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn icosahedron is a regular polyhedron with 12 vertices and 20 triangular faces. It is also one of the five well known platonic solids. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulation, or triangulated mesh, is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this icosahedron. To do so, you will list the triangles/rows in a matrix of triangles, T\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eVertex indices are written on the figure below; use it to help you visualize;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou can start with the triangles of the top cap and bottom cap, they are the easiest ones to identify here.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"334\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"446\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc 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JCPibXZZPTK3fZksIC5rdBVuQBM4vUAIDftFq/cbUnqrdtK6I5UbiB0AVjlJQEgW+PZ2Uzxyt02DFpX6BaMcwGYyQsDQOa6V7xyd0zSQ93mQ1flAlCClweATmileOVuUxJt3dYrNxC6AEzhFQKgQ5ovXrnbiBQXMDccuocfvtPxxw/2I5ULwExeJwA6p+Hilbs1S3Go23DoWrQMwPy8WgB0VDeKV+4m2LpNhq7KBWBRXjMAOq3J4pW79UhrAXNjoTtSuYHQBWAeXjYAeqCx4pW7VUtrqNtW6KpcAObnxQOgN5opXrlbqYRat5nQVbkAVMRLCEDP5Fu8vczdRRYwB5UnYgOhq3IBqJQXEoBeaqB45e7SkhjqNl+5gdAFYGleSwB6rO7ilbvLab91jXMByJZXFIDem1ikVUWv3F3UgqEbVJWLdYeuygWgTl5XAFhV35i38uLtQe62PNStNXRHKjcQugBUzUsLADuqqXjlbhlDyXfZr/zKYK/51m0ydFUuAPXwAgPAJHUUr9ydZqz3FgzdYPl0rC90VS4ADfIyA8B0lRdv5bl7xBE7XXJJ3M0vd6fHXmtD3ZpCV+UC0DgvNgCsJfHizS53S5ReC607kqNVhe7IPxsIXQAa4fUGgHKqLd4e5m7pxmthAbNxLgCd41UHgHlUWLw9yd35A6/p1q0jdFUuAG3z2gPA/Koq3mpzN1g9W1X7ubtE3Q1aN9PQHancQOgC0AYvPwAsKs3ibT13l0u7Roe6dYeuygWgPV6EAFhOJcXbpdzNpXWrDV2VC0BivBQBUIXli7czuVtJ62YUuioXgCR5QQKgOksWbzdyd4nYa2ioW1XojlRuIHQBSIbXJACqNjFZy0dvhcW7mrtBc8Wbcusa5wLQG16ZAKjNwmPerHN3+dZNPHRVLgA58PoEQM0WK958c3fR9qt3qFtJ6I5UbiB0AUiVlygAGrFA8Waauwm2bh2hq3IBSJsXKgAa1GLxNpa7S7buvKEbzP4/Lh+6KheADHm5AqBx8xZvXrlbIgXH/8ZPahrqLhm6KheAbHnRAqAlC8x4ZyuTxMO5+5OfDPaqs/DLai2tu0zojlRuIHQByIrXLQBa1XzxLpS7tb5eLh66wbQErTB0VS4AGfLqBUACqi3eeXL3V2qY7s6r4qGuygUArQtAQios3qxyt8rWXTh0Ryo3ELoA5MzLGACJqap4M8ndKhcwVxW6KheA/HkxAyBJzRRvArlb2VB3sdBVuQB0lJc0ABJWSfGmnbvVtO4CoatyAeg0L2wAJG9irM4VvanmbjULmOcN3ZHKDYQuAJ3jtQ2ATCxZvEnmbgWtu2ToqlwAOsorHAC5Ga/WSoq3jdwdtO5ioTtSrWuGrsoFoE+8zgGQp4WLN5ncXWqoe/rpg51g3soNhC4AXeelDoCcLVa8aeTu4q1bPnQPP3yn448f7EcqF4B+8IIHQP4WKN4EcnfBBczlQ9eiZQB6zMseAF1RYfEeeeROF18cd2vK3QWHuiVDV+UC0Hte/ADolnmLt6XcXaR1y4Sut+YCwAqvfwB00VzF20buzr2AeYHQVbkA9JhXQQC6q3zxNpu7cw911wxdlQsAO/JaCEDXLV+8q2erqip352jd4cp93OO2/TrSsSoXACbxighAP5Qs3kZyt+wC5vHQDYqa9dZcAJjOiyIAfVKmeGvO3bJD3blCV+UCwI68NALQPxNrdjh668zdUq07MXSD0LQqFwBK8AIJQF8tVrzL5e5SoTt8eSR0AWAKr5EA9N540xbFOzN3g3mLd+3WLRm6KhcAZvJKCQArphVvpbm7RutODF2VCwDz83oJAEMmFm9FuTt36KpcAFiUV00AGFOyeOfM3amtu2blBkIXAObhhRMAphiP22c/e7BTmCd3J7eucS4A1MDLJwDMtGbxlsvdUqGrcgGgIl5EAaCE2cVbIncntO74QuVhQhcAluB1FABKm1G8a+XuaOvOCF2VCwBL82oKAHOaVrzTc7ds6KpcAKiI11QAWMjE4p2Suzu07sTQVbkAUCmvrACwhPHiPeOMwc5Q7g5a9/jjVz4aI3QBoGpeXAFgaePFG6xEb8jdWaGrcgGgHl5iAaAi04t3QuiqXACokxdaAKjaxOgdJnQBoGZeawGgHhOLV+UCQCO84gJAnYriVbkAAAB0x5pLmgEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGjKzoPfAYBKHXHEEY9+9KMHH6zl7/7u784///zBBwAAAJCmE0888drSHvjABw7+MwCgCusGvwMA7bn00ksHewAAAJCsdevWbZzpda97XRzqnnzyyYP/BgAAAPJ1wgknxND9wAc+MLgIAAAA8nXLW97yF7/4RQjdH/3oRze84Q0HlwIAAEC+zjvvvDjUfehDHzq4CAAAAPJVnJ/5nHPOGVwEAAAA+dpzzz0vuuiiELqbN28+6KCDBpcCAABAvk466aQ41D3ttNMGFwEAAEC+9txzz5///OchdK+++ur99ttvcCkAAADk65nPfGYc6p5++umDiwAAACBr3/72t2PreqcuAAAAXXDPe94zhu555503uAgAqM26we8AQJ2OP/74uPOmN70p7gAAAEDeLr744mtXftTQPvvsM7gIAAAA8nWXu9wlLmD+6Ec/OrgIAKiTNcwAULsjjjgi7nzwgx+MOwBArbQuANTukEMOiTuf/vSn4w4AAADk7aKLLopv1l23zneZAQAAyN/GjRvjm3W///3vDy4CAGrmu8sAUK+DDjoo7px//vlxBwCom9YFgHrd7GY3izuXX3553AEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADystNO/z9fp4flZgvrcwAAAABJRU5ErkJggg==\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45230,"title":"Remove duplicated triangles","description":"Input T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\r\nIt sometimes happens a triangle may be duplicated several times. The goal of this problem is to remove all the duplicated triangles of T, and to keep only one.\r\nFor instance if :\r\nT_in = [1 2 3;...\r\n 4 5 6;...\r\n 1 2 3;...\r\n 7 8 9;...\r\n 6 4 5;...\r\n 10 11 12;...\r\n 2 1 3;...\r\n 8 7 9;...\r\n 10 11 12]\r\nthen the output must be :\r\nT_out = [1 2 3;...\r\n 4 5 6;...\r\n 7 8 9;...\r\n 10 11 12]\r\nsince rows [1 2 3], [6 4 5], [2 1 3], [8 7 9], and [10 11 12] are just duplicata. Indeed triangle [i2 i1 i3] is the same as triangle [i1 i2 i3] for example.\r\nHypothesis :\r\nT is always a N x 3 integer matrix with N \u003e 0 (non empty matrix)\r\nEach row / triangle of T always contains three distinct integers\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 673.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 336.75px; transform-origin: 408px 336.75px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 380.425px 8px; transform-origin: 380.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInput T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.533px 8px; transform-origin: 376.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt sometimes happens a triangle may be duplicated several times. The goal of this problem is to remove all the duplicated triangles of T, and to keep only one.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 47.8333px 8px; transform-origin: 47.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor instance if :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 183.9px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 91.95px; transform-origin: 405px 91.95px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 53.9px 8.5px; transform-origin: 53.9px 8.5px; \"\u003eT_in = [1 2 3;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 53.9px 8.5px; transform-origin: 53.9px 8.5px; \"\u003e 4 5 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 53.9px 8.5px; transform-origin: 53.9px 8.5px; \"\u003e 1 2 3;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 53.9px 8.5px; transform-origin: 53.9px 8.5px; \"\u003e 7 8 9;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 53.9px 8.5px; transform-origin: 53.9px 8.5px; \"\u003e 6 4 5;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 77px 8.5px; tab-size: 4; transform-origin: 77px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 65.45px 8.5px; transform-origin: 65.45px 8.5px; \"\u003e 10 11 12;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 53.9px 8.5px; transform-origin: 53.9px 8.5px; \"\u003e 2 1 3;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 53.9px 8.5px; transform-origin: 53.9px 8.5px; \"\u003e 8 7 9;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 65.45px 8.5px; tab-size: 4; transform-origin: 65.45px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 10 11 12]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.3917px 8px; transform-origin: 77.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen the output must be :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 40.8667px; transform-origin: 405px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 69.3px 8.5px; tab-size: 4; transform-origin: 69.3px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 57.75px 8.5px; transform-origin: 57.75px 8.5px; \"\u003eT_out = [1 2 3;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 69.3px 8.5px; tab-size: 4; transform-origin: 69.3px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 57.75px 8.5px; transform-origin: 57.75px 8.5px; \"\u003e 4 5 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 69.3px 8.5px; tab-size: 4; transform-origin: 69.3px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 57.75px 8.5px; transform-origin: 57.75px 8.5px; \"\u003e 7 8 9;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 69.3px 8.5px; tab-size: 4; transform-origin: 69.3px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 10 11 12]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 385px 8px; transform-origin: 385px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince rows [1 2 3], [6 4 5], [2 1 3], [8 7 9], and [10 11 12] are just duplicata. Indeed triangle [i2 i1 i3] is the same as triangle [i1 i2 i3] for example.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.5083px 8px; transform-origin: 38.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHypothesis :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 209.408px 8px; transform-origin: 209.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eT is always a N x 3 integer matrix with N \u0026gt; 0 (non empty matrix)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 191.758px 8px; transform-origin: 191.758px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEach row / triangle of T always contains three distinct integers\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T_out = remove_duplicated_triangles(T_in)\r\n T_out = T_in;\r\nend","test_suite":"%% Intro example\r\nT_in = [1 2 3;...\r\n 4 5 6;...\r\n 1 2 3;...\r\n 7 8 9;...\r\n 6 4 5;...\r\n 10 11 12;...\r\n 2 1 3;...\r\n 8 7 9;...\r\n 10 11 12];\r\n \r\nT_out = [1 2 3;...\r\n 4 5 6;...\r\n 7 8 9;...\r\n 10 11 12];\r\n\r\nassert(isequal(remove_duplicated_triangles(T_in),T_out))\r\n\r\n%% Single triangle\r\nT_in = [3 5 7];\r\nT_out = T_in;\r\nassert(isequal(remove_duplicated_triangles(T_in),T_out))\r\n\r\n%% One duplicated triangle\r\nT_in = [2 11 13;...\r\n 2 13 11;...\r\n 11 2 13;...\r\n 11 13 2;...\r\n 13 2 11;...\r\n 13 11 2];\r\n\r\nT_out = [2 11 13];\r\nassert(isequal(remove_duplicated_triangles(T_in),T_out))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('remove_duplicated_triangles.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:50:13.000Z","deleted_by":null,"deleted_at":null,"solvers_count":50,"test_suite_updated_at":"2025-07-09T05:52:22.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-12-11T10:22:14.000Z","updated_at":"2025-11-16T17:58:55.000Z","published_at":"2019-12-11T10:37:52.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIt sometimes happens a triangle may be duplicated several times. The goal of this problem is to remove all the duplicated triangles of T, and to keep only one.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor instance if :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T_in = [1 2 3;...\\n 4 5 6;...\\n 1 2 3;...\\n 7 8 9;...\\n 6 4 5;...\\n 10 11 12;...\\n 2 1 3;...\\n 8 7 9;...\\n 10 11 12]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen the output must be :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T_out = [1 2 3;...\\n 4 5 6;...\\n 7 8 9;...\\n 10 11 12]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince rows [1 2 3], [6 4 5], [2 1 3], [8 7 9], and [10 11 12] are just duplicata. Indeed triangle [i2 i1 i3] is the same as triangle [i1 i2 i3] for example.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHypothesis :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT is always a N x 3 integer matrix with N \u0026gt; 0 (non empty matrix)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEach row / triangle of T always contains three distinct integers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60975,"title":"Check Legendre's conjecture","description":"Context and problem statement\r\nLegendre's conjecture states for a given positive integer n, there always exists at least one prime number p between n² and (n+1²) :\r\n\r\n\r\n\r\nFor a given input n, List the prime number(s) p in the interval ]n^2; (n+1)^2[.\r\n\r\nExamples\r\n\r\nn = 1 =\u003e p = [2, 3];\r\nn = 2 =\u003e p = [5, 7];\r\nn = 10 =\u003e p = [101, 103, 107, 109, 113];\r\nn = 20 =\u003e p = [401, 409, 419, 421, 431, 433, 439];\r\n\r\nForbidden functions / expressions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nProblem 60972. Check Bertrand-Chebyshev's theorem about prime numbers\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 697.467px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 348.733px; transform-origin: 408px 348.733px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 105px 8px; transform-origin: 105px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eContext and problem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 174.825px 8px; transform-origin: 174.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eLegendre's conjecture states for a given positive integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 144.308px 8px; transform-origin: 144.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethere always exists at least one prime number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.3417px 8px; transform-origin: 30.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e between \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.225px 8px; transform-origin: 6.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en²\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and (n+1²) :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"224\" height=\"19.5\" style=\"width: 224px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 54.0667px 8px; transform-origin: 54.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given input \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 81.675px 8px; transform-origin: 81.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, List the prime number(s) \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 90px 8px; transform-origin: 90px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in the interval ]n^2; (n+1)^2[.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 1 =\u0026gt; p = [2, 3];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 2 =\u0026gt; p = [5, 7];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 124.742px 8px; transform-origin: 124.742px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 10 =\u0026gt; p = [101, 103, 107, 109, 113];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 156.375px 8px; transform-origin: 156.375px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 20 =\u0026gt; p = [401, 409, 419, 421, 431, 433, 439];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60972\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 60972. Check Bertrand-Chebyshev's theorem about prime numbers\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties I\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = check_legendre_conjecture(n)\r\n p = n;\r\nend","test_suite":"%%\r\nn = 1\r\np_correct = [2, 3];\r\nassert(isequal(check_legendre_conjecture(n),p_correct))\r\n\r\n%%\r\nn = 2\r\np_correct = [5, 7];\r\nassert(isequal(check_legendre_conjecture(n),p_correct))\r\n\r\n%%\r\nn = 10\r\np_correct = [101, 103, 107, 109, 113];\r\nassert(isequal(check_legendre_conjecture(n),p_correct))\r\n\r\n%%\r\nn = 20\r\np_correct = [401, 409, 419, 421, 431, 433, 439];\r\nassert(isequal(check_legendre_conjecture(n),p_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('check_legendre_conjecture.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:05:15.000Z","deleted_by":null,"deleted_at":null,"solvers_count":38,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-21T08:10:57.000Z","updated_at":"2026-02-12T07:21:34.000Z","published_at":"2025-07-21T08:28:05.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eContext and problem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eLegendre's conjecture states for a given positive integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethere always exists at least one prime number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e between \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en²\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and (n+1²) :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\forall n \\\\in \\\\mathbb{N}^*, \\\\exists p \\\\in \\\\mathbb{P}, \\\\mathbf{n^2 \u0026lt; p \u0026lt; (n+1)^2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given input \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, List the prime number(s) \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in the interval ]n^2; (n+1)^2[.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 1 =\u0026gt; p = [2, 3];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 2 =\u0026gt; p = [5, 7];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 10 =\u0026gt; p = [101, 103, 107, 109, 113];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 20 =\u0026gt; p = [401, 409, 419, 421, 431, 433, 439];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60972\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 60972. Check Bertrand-Chebyshev's theorem about prime numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60979,"title":"Mesh the cube","description":"Problem statement : mesh the cube with quadranglar / squared faces\r\n\r\nAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\r\nA quadrangular mesh F (stands for faces here) is simply a N x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where N is the number of faces. \r\n\r\nYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, F. You will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square [1, 2, 3, 4] and [4, 3, 2, 1] are distinct).\r\nOn the other hand [1, 2, 3, 4], [2, 3, 4, 1], [3, 4, 1, 2] and [4, 1, 2, 3] are one same unique square.\r\nThe row order of the faces in the list doesn't matter.\r\n\r\nEdit / update\r\nFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\r\n\r\nExample\r\nThe first square (Z \u003e 0) here can be [1, 2, 3, 4] if counterclockwise oriented (normals outward).\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1194.73px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 597.367px; transform-origin: 408px 597.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.433px 8px; transform-origin: 229.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement : mesh the cube with quadranglar / squared faces\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.933px 8px; transform-origin: 376.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 68.8583px 8px; transform-origin: 68.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA quadrangular mesh \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.9417px 8px; transform-origin: 36.9417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (stands for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16.725px 8px; transform-origin: 16.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003efaces\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 54.8417px 8px; transform-origin: 54.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here) is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 185.533px 8px; transform-origin: 185.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 74.6667px 8px; transform-origin: 74.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of faces. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 296.108px 8px; transform-origin: 296.108px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.25833px 8px; transform-origin: 7.25833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eF. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.6583px 8px; transform-origin: 80.6583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.4917px 8px; transform-origin: 17.4917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[4, 3, 2, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are distinct).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 66.0833px 8px; transform-origin: 66.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[2, 3, 4, 1], [3, 4, 1, 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[4, 1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.975px 8px; transform-origin: 92.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are one same unique square.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 158.842px 8px; transform-origin: 158.842px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the faces in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.9833px 8px; transform-origin: 41.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdit / update\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 342.275px 8px; transform-origin: 342.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.5583px 8px; transform-origin: 50.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first square \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 20.8083px 8px; transform-origin: 20.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(Z \u0026gt; 0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.1583px 8px; transform-origin: 29.1583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 3, 4]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 148.208px 8px; transform-origin: 148.208px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented (normals outward).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 378px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 189px; text-align: left; transform-origin: 385px 189px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"504\" height=\"378\" style=\"vertical-align: middle;width: 504px;height: 378px\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function F = mesh_the_cube()\r\n F = 1;\r\nend","test_suite":"%%\r\nF_correct = [1 2 3 4;\r\n 8 7 6 5;\r\n 1 4 8 5;\r\n 2 1 5 6;\r\n 3 2 6 7;\r\n 4 3 7 8];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_cube(),2)),sortrows(sort(F_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_cube.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:44:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":42,"test_suite_updated_at":"2025-07-23T16:15:41.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T10:23:00.000Z","updated_at":"2026-03-31T18:43:29.000Z","published_at":"2025-07-23T10:53:38.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement : mesh the cube with quadranglar / squared faces\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn cube / regular hexahedron is a regular polyhedron with 8 vertices and 6 squared / quadrangular faces. It is also one of the five well known platonic solids.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA quadrangular mesh \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (stands for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efaces\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here) is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 4 matrix of positive integers where each row contains the vertex indices of squared faces, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of faces. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this cube. To do so, you will list the squares/rows in a matrix of faces, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou will also be careful to always keep the faces coherently / consistently oriented (all clockwise or all counterclockwise : square \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[4, 3, 2, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are distinct).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[2, 3, 4, 1], [3, 4, 1, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[4, 1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are one same unique square.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the faces in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdit / update\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFaces orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first square \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(Z \u0026gt; 0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 3, 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented (normals outward).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"378\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"middle\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle 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p = 4n +/- 1, the generic formula for odd prime numbers","description":"Problem statement\r\n\r\nFor all odd prime number p, there exists a positive integer n, such that p = 4n +/- 1 :\r\n\r\n\r\n\r\nCheck this formula for some given odd primes in a vector by computing n for each p.\r\n\r\nExamples\r\n\r\np = 17 =\u003e n = 4;\r\n\r\np = 19 =\u003e n = 5;\r\n\r\n p = [3, 5, 7, 11, 13, 17, 19] =\u003e n = [1, 1, 2, 3, 3, 4, 5];\r\n\r\np = [3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]\r\n =\u003e n = [1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 15, 17, 18, 18, 20, 21, 22, 24];\r\n\r\n\r\nForbidden functions / expressions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\n\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 919.467px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 459.733px; transform-origin: 408px 459.733px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.1333px 8px; transform-origin: 80.1333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor all odd prime number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.4583px 8px; transform-origin: 96.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, there exists a positive integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.3333px 8px; transform-origin: 30.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esuch that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.675px 8px; transform-origin: 39.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep = 4n +/- 1 :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"231\" height=\"18\" style=\"width: 231px; height: 18px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 222.1px 8px; transform-origin: 222.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCheck this formula for some given odd primes in a vector by computing \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.9417px 8px; transform-origin: 15.9417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eeach\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e p.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 50.575px 8px; transform-origin: 50.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = 17 =\u0026gt; n = 4;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 50.575px 8px; transform-origin: 50.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = 19 =\u0026gt; n = 5;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 164.367px 8px; transform-origin: 164.367px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [3, 5, 7, 11, 13, 17, 19] =\u0026gt; n = [1, 1, 2, 3, 3, 4, 5];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 280.842px 8px; transform-origin: 280.842px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 287.408px 8px; transform-origin: 287.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e =\u0026gt; n = [1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 15, 17, 18, 18, 20, 21, 22, 24];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties I\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = check_odd_primes_gen_formula(p)\r\n n = p;\r\nend","test_suite":"%%\r\np = 17;\r\nn_correct = 4;\r\nassert(isequal(check_odd_primes_gen_formula(p),n_correct))\r\n\r\n\r\n%%\r\np = 19;\r\nn_correct = 5;\r\nassert(isequal(check_odd_primes_gen_formula(p),n_correct))\r\n\r\n\r\n%%\r\np = [3, 5, 7, 11, 13, 17, 19];\r\nn_correct = [1, 1, 2, 3, 3, 4, 5];\r\nassert(isequal(check_odd_primes_gen_formula(p),n_correct))\r\n\r\n\r\n%%\r\np = [3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97];\r\nn_correct = [1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 15, 17, 18, 18, 20, 21, 22, 24];\r\nassert(isequal(check_odd_primes_gen_formula(p),n_correct))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('check_odd_primes_gen_formula.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-20T05:09:52.000Z","deleted_by":null,"deleted_at":null,"solvers_count":40,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-20T04:24:51.000Z","updated_at":"2026-02-12T07:13:21.000Z","published_at":"2025-07-20T05:09:52.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor all odd prime number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, there exists a positive integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003esuch that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 4n +/- 1 :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\forall p \\\\in \\\\mathbb{P}, p \u0026gt; 2 \\\\Rightarrow \\\\exists n \\\\in \\\\mathbb{N}, p = 4n \\\\pm 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCheck this formula for some given odd primes in a vector by computing \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003eeach\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 17 =\u0026gt; n = 4;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 19 =\u0026gt; n = 5;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [3, 5, 7, 11, 13, 17, 19] =\u0026gt; n = [1, 1, 2, 3, 3, 4, 5];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e =\u0026gt; n = [1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 15, 17, 18, 18, 20, 21, 22, 24];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003ePrime numbers properties I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60970,"title":"Check p = 6n +/- 1, the generic formula for odd prime numbers greater than 3","description":"Problem statement\r\n\r\nFor all odd prime number p greater than 3, there exists a positive integer n, such that p = 6n +/- 1 :\r\n\r\n\r\n\r\nCheck this formula for some given odd primes in a vector by computing n for each p.\r\n\r\nExamples\r\n\r\np = 17 =\u003e n = 3;\r\n\r\np = 19 =\u003e n = 3;\r\n\r\n p = [5, 7, 11, 13, 17, 19] =\u003e n = [1, 1, 2, 2, 3, 3];\r\n\r\np = [5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97];\r\n =\u003e n = [1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14, 15, 16];\r\n\r\n\r\nForbidden functions / expressions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\n\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 919.467px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 459.733px; transform-origin: 408px 459.733px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.1333px 8px; transform-origin: 80.1333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor all odd prime number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 37.7333px 8px; transform-origin: 37.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003egreater than\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 3\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.4583px 8px; transform-origin: 96.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, there exists a positive integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.3333px 8px; transform-origin: 30.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esuch that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.675px 8px; transform-origin: 39.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep = 6n +/- 1 :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"231\" height=\"18\" style=\"width: 231px; height: 18px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 222.1px 8px; transform-origin: 222.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCheck this formula for some given odd primes in a vector by computing \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.9417px 8px; transform-origin: 15.9417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eeach\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e p.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 50.575px 8px; transform-origin: 50.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = 17 =\u0026gt; n = 3;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 50.575px 8px; transform-origin: 50.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = 19 =\u0026gt; n = 3;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 148.817px 8px; transform-origin: 148.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [5, 7, 11, 13, 17, 19] =\u0026gt; n = [1, 1, 2, 2, 3, 3];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 275.4px 8px; transform-origin: 275.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 266.008px 8px; transform-origin: 266.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e =\u0026gt; n = [1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14, 15, 16];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties I\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = check_odd_primes_gen_formula3(p)\r\n n = p;\r\nend","test_suite":"%%\r\np = 17;\r\nn_correct = 3;\r\nassert(isequal(check_odd_primes_gen_formula3(p),n_correct))\r\n\r\n\r\n%%\r\np = 19;\r\nn_correct = 3;\r\nassert(isequal(check_odd_primes_gen_formula3(p),n_correct))\r\n\r\n\r\n%%\r\np = [5, 7, 11, 13, 17, 19];\r\nn_correct = [1, 1, 2, 2, 3, 3];\r\nassert(isequal(check_odd_primes_gen_formula3(p),n_correct))\r\n\r\n\r\n%%\r\np = [5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97];\r\nn_correct = [1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14, 15, 16];\r\nassert(isequal(check_odd_primes_gen_formula3(p),n_correct))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('check_odd_primes_gen_formula3.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-20T05:22:24.000Z","deleted_by":null,"deleted_at":null,"solvers_count":36,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-20T04:25:50.000Z","updated_at":"2026-02-12T07:15:38.000Z","published_at":"2025-07-20T05:22:25.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor all odd prime number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003egreater than\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 3\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, there exists a positive integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esuch that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 6n +/- 1 :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\forall p \\\\in \\\\mathbb{P}, p \u0026gt; 3 \\\\Rightarrow \\\\exists n \\\\in \\\\mathbb{N}, p = 6n \\\\pm 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCheck this formula for some given odd primes in a vector by computing \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eeach\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 17 =\u0026gt; n = 3;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 19 =\u0026gt; n = 3;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [5, 7, 11, 13, 17, 19] =\u0026gt; n = [1, 1, 2, 2, 3, 3];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e =\u0026gt; n = [1, 1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 10, 11, 12, 12, 13, 14, 15, 16];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":463,"title":"Looking for Squares","description":"Need n squares that equal one square all together, none zero, none fractured. For example, calling squares(2) should output [16 9] or [25 144] etc, because 16=4*4, 9=3*3, and 16+9=5*5, similarly 25=5*5, 144=12*12, and 25+144=13*13.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373px 8px; transform-origin: 373px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNeed n squares that equal one square all together, none zero, none fractured. For example, calling squares(2) should output [16 9] or [25 144] etc, because 16=4*4, 9=3*3, and 16+9=5*5, similarly 25=5*5, 144=12*12, and 25+144=13*13.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function sq = squares(n)\r\n sq=[1 4 25 144];\r\nend","test_suite":"%%\r\nfor n=3:7;\r\n sq=squares(n);\r\n assert(length(sq)==n)\r\n for k=1:n\r\n assert(sq(k)\u003e0)\r\n assert(round(sqrt(sq(k)))==sqrt(sq(k)))\r\n end\r\n assert(round(sqrt(sum(sq)))==sqrt(sum(sq)))\r\nend\r\n\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":166,"edited_by":223089,"edited_at":"2023-02-21T05:30:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":29,"test_suite_updated_at":"2023-02-21T05:30:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-03-07T08:17:03.000Z","updated_at":"2025-05-16T15:38:29.000Z","published_at":"2012-03-07T08:25:05.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNeed n squares that equal one square all together, none zero, none fractured. For example, calling squares(2) should output [16 9] or [25 144] etc, because 16=4*4, 9=3*3, and 16+9=5*5, similarly 25=5*5, 144=12*12, and 25+144=13*13.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60978,"title":"Mesh the octahedron","description":"Problem statement\r\n\r\nAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\r\nA triangulated mesh -or a triangulation- is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\n\r\nYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, T. You will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles [1, 2, 3] and [3, 2, 1] are distinct).\r\nOn the other hand [1, 2, 3], [2, 3, 1] and [3, 1, 2] are one same unique triangle.\r\nThe row order of the triangles in the list doesn't matter.\r\n\r\nEdit / update\r\nTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\r\n\r\nExample\r\nThe first triangle (X \u003e 0, Y \u003e 0, and Z \u003e 0) here can be [1, 2, 5] if counterclockwise oriented (normals are outward oriented).\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1200.23px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 600.117px; transform-origin: 408px 600.117px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 373.817px 8px; transform-origin: 373.817px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 157.542px 8px; transform-origin: 157.542px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulated mesh -or a triangulation- is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 206.533px 8px; transform-origin: 206.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.242px 8px; transform-origin: 327.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.51667px 8px; transform-origin: 7.51667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eT. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 49.9333px 8px; transform-origin: 49.9333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 2, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are distinct).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[1, 2, 3]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[2, 3, 1]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.325px 8px; transform-origin: 23.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[3, 1, 2]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.5333px 8px; transform-origin: 94.5333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are one same unique triangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 168.575px 8px; transform-origin: 168.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe row order of the triangles in the list doesn't matter.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.9833px 8px; transform-origin: 41.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdit / update\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 351.75px 8px; transform-origin: 351.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 52.1167px 8px; transform-origin: 52.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe first triangle \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.2583px 8px; transform-origin: 75.2583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(X \u0026gt; 0, Y \u0026gt; 0, and Z \u0026gt; 0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.7833px 8px; transform-origin: 42.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here can be [\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21.3833px 8px; transform-origin: 21.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, 2, 5]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 187.5px 8px; transform-origin: 187.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if counterclockwise oriented (normals are outward oriented).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_octahedron()\r\n T = 1;\r\nend","test_suite":"%%\r\nT_correct = [1 2 5;\r\n 2 3 5;\r\n 3 4 5;\r\n 4 1 5;\r\n 2 1 6;\r\n 3 2 6;\r\n 4 3 6;\r\n 1 4 6];\r\n\r\n% Check every possible solutions\r\nassert(isequal(sortrows(sort(mesh_the_octahedron(),2)),sortrows(sort(T_correct,2))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_octahedron.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:44:22.000Z","deleted_by":null,"deleted_at":null,"solvers_count":50,"test_suite_updated_at":"2025-07-23T16:11:50.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T08:24:47.000Z","updated_at":"2026-03-31T18:40:36.000Z","published_at":"2025-07-23T09:23:40.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five well known platonic solids.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulated mesh -or a triangulation- is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour task here is to mesh this octahedron. To do so, you will list the triangles/rows in a matrix of triangles, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou will also be careful to always keep the triangles / faces coherently / consistently oriented (all clockwise or all counterclockwise : triangles \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 2, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are distinct).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[1, 2, 3]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[2, 3, 1]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[3, 1, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are one same unique triangle.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe row order of the triangles in the list doesn't matter.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdit / update\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTriangles orientation not taken into account anymore, because of too many possible cases to check in the tests (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe first triangle \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(X \u0026gt; 0, Y \u0026gt; 0, and Z \u0026gt; 0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here can be [\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, 2, 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if counterclockwise oriented (normals are outward oriented).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"378\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"504\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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neighbor triangle indices","description":"First input T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\r\nGiven a second input t (a certain triangle row index), one would like to query the list L of all its triangle neighbor indices. A triangle is neighbor to another triangle if they share exactly one edge.\r\nFor instance if\r\nT = [1 2 4;...\r\n 2 3 4;...\r\n 5 6 8;...\r\n 6 7 8;...\r\n 1 2 5;...\r\n 2 5 6;...\r\n 2 3 6;...\r\n 3 6 7;...\r\n 3 4 7;...\r\n 4 7 8;...\r\n 4 1 8;...\r\n 1 8 5]\r\nand t = 3, then the function should return\r\nL = [4, 6, 12]'\r\nsince rows / (triangles of T) 4, 6, and 12 contain an edge in common with triangle / row 3.edge [6 8] for the first, edge [5 6] for the second, and edge [8 5] for the third.\r\nHypothesis :\r\n- Since a triangle is not considered neighbor of itself, t should not be part of L.\r\n- Order doesn't matter, but T must be a column vector containing all the neighbor triangle -row- indices (except itself then) once only. No duplicata is admitted.\r\n- Edges are symmetric : [e1, e2] is the same edge as [e2, e1]\r\n- Every indices are positive, distinct integers.\r\n\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 782.633px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 391.317px; transform-origin: 408px 391.317px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 349.292px 8px; transform-origin: 349.292px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFirst input T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 368.767px 8px; transform-origin: 368.767px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a second input t (a certain triangle row index), one would like to query the list L of all its triangle neighbor indices.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7px 8px; transform-origin: 7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eA triangle is neighbor to another triangle if they share exactly one edge.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 43.95px 8px; transform-origin: 43.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor instance if\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 245.2px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 122.6px; transform-origin: 405px 122.6px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003eT = [1 2 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 2 3 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 5 6 8;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 6 7 8;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 1 2 5;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 2 5 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 2 3 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 3 6 7;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 3 4 7;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 4 7 8;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 4 1 8;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 8.5px; tab-size: 4; transform-origin: 42.35px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 1 8 5]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 125.833px 8px; transform-origin: 125.833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand t = 3, then the function should return\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 57.75px 8.5px; tab-size: 4; transform-origin: 57.75px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eL = [4, 6, 12]'\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 378.042px 8px; transform-origin: 378.042px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince rows / (triangles of T) 4, 6, and 12 contain an edge in common with triangle / row 3.edge [6 8] for the first, edge [5 6] for the second, and edge [8 5] for the third.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.5083px 8px; transform-origin: 38.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHypothesis :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 162.6px 8px; transform-origin: 162.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e- Since a triangle is not considered neighbor of itself,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.0167px 8px; transform-origin: 82.0167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003et should not be part of L.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 81.4417px 8px; transform-origin: 81.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e- Order doesn't matter, but\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 180.008px 8px; transform-origin: 180.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eT must be a column vector containing all the neighbor\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 109.692px 8px; transform-origin: 109.692px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e triangle -row- indices (except itself then) once only.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.8167px 8px; transform-origin: 82.8167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNo duplicata is admitted.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2.33333px 8px; transform-origin: 2.33333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 194.858px 8px; transform-origin: 194.858px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEdges are symmetric : [e1, e2] is the same edge as [e2, e1]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 138.083px 8px; transform-origin: 138.083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e- Every indices are positive, distinct integers.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function L = find_neighbor_triangles_indices(T,t);\r\n L = t;\r\nend","test_suite":"%% Tetrahedron, all triangles have all the other 3 neighbor triangles \r\nT = [1, 2, 3;...\r\n 1, 3, 4;...\r\n 1, 2, 4;...\r\n 2, 3, 4];\r\n \r\nt = 2;\r\n\r\nL = [1, 3, 4]';\r\nassert(isequal(sort(find_neighbor_triangles_indices(T,t)),L))\r\n\r\n%% Triangulated cube (same as problem description)\r\nT = [1, 2, 4;...\r\n 2, 3, 4;...\r\n 5, 6, 8;...\r\n 6, 7, 8;...\r\n 1, 2, 5;...\r\n 2, 5, 6;...\r\n 2, 3, 6;...\r\n 3, 6, 7;...\r\n 3, 4, 7;...\r\n 4, 7, 8;...\r\n 1, 4, 8;...\r\n 1, 5, 8];\r\n \r\nt = 3;\r\n\r\nL = [4, 6, 12]';\r\nassert(isequal(sort(find_neighbor_triangles_indices(T,t)),L))\r\n\r\n%% Filled octahedron (two pyramids stuck together via their square bases)\r\nT = [1, 2, 3;...\r\n 1, 3, 4;...\r\n 1, 4, 5;...\r\n 1, 2, 5;...\r\n 2, 3, 6;...\r\n 3, 4, 6;...\r\n 4, 5, 6;...\r\n 2, 5, 6;...\r\n 2, 3, 4;...\r\n 2, 4, 5;...\r\n 1, 2, 4;...\r\n 2, 4, 6];\r\n\r\nt = 6;\r\n\r\nL = [2, 5, 7, 9, 12]';\r\nassert(isequal(sort(find_neighbor_triangles_indices(T,t)),L))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('find_neighbor_triangles_indices.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:49:54.000Z","deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":"2025-07-09T05:52:10.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-01-07T12:33:20.000Z","updated_at":"2025-11-16T17:50:56.000Z","published_at":"2020-01-07T13:06:47.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFirst input T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a second input t (a certain triangle row index), one would like to query the list L of all its triangle neighbor indices.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eA triangle is neighbor to another triangle if they share exactly one edge.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor instance if\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1 2 4;...\\n 2 3 4;...\\n 5 6 8;...\\n 6 7 8;...\\n 1 2 5;...\\n 2 5 6;...\\n 2 3 6;...\\n 3 6 7;...\\n 3 4 7;...\\n 4 7 8;...\\n 4 1 8;...\\n 1 8 5]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand t = 3, then the function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[L = [4, 6, 12]']]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince rows / (triangles of T) 4, 6, and 12 contain an edge in common with triangle / row 3.edge [6 8] for the first, edge [5 6] for the second, and edge [8 5] for the third.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHypothesis :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e- Since a triangle is not considered neighbor of itself,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003et should not be part of L.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e- Order doesn't matter, but\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eT must be a column vector containing all the neighbor\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e triangle -row- indices (except itself then) once only.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNo duplicata is admitted.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e-\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEdges are symmetric : [e1, e2] is the same edge as [e2, e1]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e- Every indices are positive, distinct integers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60972,"title":"Check Bertrand-Chebyshev's theorem about prime numbers","description":"Historical context\r\nBertrand's postulate, also later known as Chebyshev's theorem, is a very important theorem in number theory stating that for every integer greater than 1, there always exists at least on prime number between it and its double : \r\n\r\n\r\n\r\nProblem statement\r\nFor a given input n, List the prime number(s) p in the interval ]n; 2n[.\r\n\r\nExamples\r\n\r\nn = 2 =\u003e p = 3;\r\nn = 3 =\u003e p = 5;\r\nn = 7 =\u003e p = [11, 13];\r\nn = 47 =\u003e p = [53, 59, 61, 67, 71, 73, 79, 83, 89];\r\n\r\nForbidden functions / expressions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 697.467px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 348.733px; transform-origin: 408px 348.733px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 385px 8px; transform-origin: 385px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBertrand's postulate, also later known as Chebyshev's theorem, is a very important theorem in number theory stating that for every integer greater than \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 223.658px 8px; transform-origin: 223.658px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethere always exists at least on prime number between it and its double : \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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4ZzqN0yWHGoepV+Us28EyJid++zV7veNaqJdEN+l6q5dK6srhjjXxaf1QoK5xrH6vdEEQr3dZOQRgF2DGsoFAoHAeASC+MZjGiUGAoFAIBAI7BiBIL4dd06oFggEAoFAIDAegSC+8ZhGiYFAIBAIBAI7RuA/zuJmZAlv4pMAAAAASUVORK5CYII=\" width=\"223\" height=\"19.5\" style=\"width: 223px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 54.0667px 8px; transform-origin: 54.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given input \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 81.675px 8px; transform-origin: 81.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, List the prime number(s) \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 66.8917px 8px; transform-origin: 66.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in the interval ]n; 2n[.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 46.6833px 8px; transform-origin: 46.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 2 =\u0026gt; p = 3;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 46.6833px 8px; transform-origin: 46.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 3 =\u0026gt; p = 5;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 68.3333px 8px; transform-origin: 68.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 7 =\u0026gt; p = [11, 13];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 152.467px 8px; transform-origin: 152.467px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 47 =\u0026gt; p = [53, 59, 61, 67, 71, 73, 79, 83, 89];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties I\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = check_Bertrand_Chebyshev_theorem(n)\r\n p = n;\r\nend","test_suite":"%%\r\nn = 2;\r\np_correct = 3;\r\nassert(isequal(check_Bertrand_Chebyshev_theorem(n),p_correct))\r\n\r\n%%\r\nn = 3;\r\np_correct = 5;\r\nassert(isequal(check_Bertrand_Chebyshev_theorem(n),p_correct))\r\n\r\n%%\r\nn = 7;\r\np_correct = [11, 13];\r\nassert(isequal(check_Bertrand_Chebyshev_theorem(n),p_correct))\r\n\r\n%%\r\nn = 11;\r\np_correct = [13, 17, 19];\r\nassert(isequal(check_Bertrand_Chebyshev_theorem(n),p_correct))\r\n\r\n%%\r\nn = 47;\r\np_correct = [53, 59, 61, 67, 71, 73, 79, 83, 89];\r\nassert(isequal(check_Bertrand_Chebyshev_theorem(n),p_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('check_Bertrand_Chebyshev_theorem.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:03:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":36,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-20T04:28:51.000Z","updated_at":"2026-02-12T07:17:44.000Z","published_at":"2025-07-21T04:30:08.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBertrand's postulate, also later known as Chebyshev's theorem, is a very important theorem in number theory stating that for every integer greater than \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethere always exists at least on prime number between it and its double : \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\forall n \\\\in \\\\mathbb{N}^* - \\\\{ 1 \\\\}, \\\\exists p \\\\in \\\\mathbb{P}, \\\\mathbf{n \u0026lt; p \u0026lt; 2n}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given input \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, List the prime number(s) \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in the interval ]n; 2n[.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 2 =\u0026gt; p = 3;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 3 =\u0026gt; p = 5;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 7 =\u0026gt; p = [11, 13];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 47 =\u0026gt; p = [53, 59, 61, 67, 71, 73, 79, 83, 89];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60986,"title":"Mesh the convex hull of a random 3D point cloud","description":"Problem statement\r\n\r\nThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\r\nA triangulation, or triangulated mesh, is simply a N x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where N is the number of triangles. \r\nUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\r\n\r\n\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 795.233px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 397.617px; transform-origin: 408px 397.617px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.717px 8px; transform-origin: 256.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 150.925px 8px; transform-origin: 150.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulation, or triangulated mesh, is simply a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.017px 8px; transform-origin: 229.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.05833px 8px; transform-origin: 5.05833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4px 8px; transform-origin: 84.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the number of triangles. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 327.125px 8px; transform-origin: 327.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = mesh_the_convex_hull(V)\r\n T = V;\r\nend","test_suite":"%% Point set #1\r\nV = [0.7253 -0.3789 0.5520\r\n 0.4471 -0.3044 0.8245\r\n 0.8241 0.6916 0.2092\r\n -0.7553 -0.5126 0.2692\r\n -0.2179 -0.8765 -0.3024\r\n -0.0984 0.3260 0.8808\r\n -0.9354 -0.0462 0.2274\r\n 0.2122 -0.6391 0.6226\r\n -0.0248 -0.1993 -0.8833\r\n 0.0772 0.9644 -0.2436\r\n -0.1098 -0.0333 -0.9851\r\n -0.6662 0.0466 0.7499\r\n -0.6866 0.5290 -0.5468\r\n 0.0357 0.0086 -0.9728\r\n 0.0829 -0.2777 -1.0373\r\n -0.3445 0.5795 0.6257];\r\n\r\nT_correct = [1 2 8;\r\n 1 3 2;\r\n 1 5 15;\r\n 1 8 5;\r\n 1 15 3;\r\n 2 3 6;\r\n 2 6 12;\r\n 2 12 8;\r\n 3 10 16;\r\n 3 14 10;\r\n 3 15 14;\r\n 3 16 6;\r\n 4 5 8;\r\n 4 7 13;\r\n 4 8 12;\r\n 4 12 7;\r\n 4 13 5;\r\n 5 11 15;\r\n 5 13 11;\r\n 6 16 12;\r\n 7 12 16;\r\n 7 16 13;\r\n 10 13 16;\r\n 10 14 13;\r\n 11 13 14;\r\n 11 14 15];\r\n\r\nassert(isequal(mesh_the_convex_hull(V),T_correct))\r\n\r\n\r\n%% Point set #2\r\nV = [-0.0775 -0.4239 0.9421;\r\n -0.8154 0.0299 -0.4279;\r\n 0.6777 -0.4686 -0.6602;\r\n -0.2960 -0.8871 0.5367;\r\n -0.0034 -0.0899 0.9352;\r\n 0.8245 -0.5624 0.0630;\r\n 0.6048 -0.7364 -0.3692;\r\n 0.4215 0.9403 -0.2533;\r\n 0.3255 0.0593 -0.8884;\r\n 0.4979 -0.0671 0.8623;\r\n -1.0254 0.1883 -0.0015;\r\n 0.7398 0.2020 -0.4934;\r\n 0.7488 0.5209 -0.0621;\r\n -0.0994 -0.5682 -0.8936;\r\n -0.8099 -0.0951 -0.4470;\r\n 0.3038 -0.9284 -0.4938];\r\n\r\nT_correct = [1 4 6;\r\n 1 5 11;\r\n 1 6 10;\r\n 1 10 5;\r\n 1 11 4;\r\n 2 8 9;\r\n 2 9 14;\r\n 2 11 8;\r\n 2 14 15;\r\n 2 15 11;\r\n 3 6 7;\r\n 3 7 16;\r\n 3 9 12;\r\n 3 12 6;\r\n 3 14 9;\r\n 3 16 14;\r\n 4 11 15;\r\n 4 14 16;\r\n 4 15 14;\r\n 4 16 6;\r\n 5 8 11;\r\n 5 10 8;\r\n 6 12 13;\r\n 6 13 10;\r\n 6 16 7;\r\n 8 10 13;\r\n 8 12 9;\r\n 8 13 12];\r\n\r\nassert(isequal(mesh_the_convex_hull(V),T_correct))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('mesh_the_convex_hull.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:46:23.000Z","deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:10:16.000Z","updated_at":"2026-02-13T17:40:03.000Z","published_at":"2025-07-24T18:00:49.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe convex hull of a 3D point set is actually a first -though rough- triangulation of it.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulation, or triangulated mesh, is simply a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e x 3 matrix of positive integers where each row contains the vertex indices of a triangle, and where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the number of triangles. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUse Matlab functions to compute the convex hull of the random point clouds given in the tests here below.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"336\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"448\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc 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the near-square primes, p = n² + 1 (Landau's 4th problem)","description":"Historical context\r\n\r\nAt the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime numbers. These problems were characterised in his speech as \"unattackable at the present state of mathematics\" and are now known as Landau's problems (source : Wiki)\r\n\r\nProblem statement\r\n\r\nThe 4th Landau's problem aalso known as the 'near square primes' asked whether there are infinitely many primes which are of the form . Your task here is to list such primes below a given input integer m.\r\n\r\nExamples\r\n\r\nm = 20 =\u003e p = [2, 5, 17] ;\r\nm = 200 =\u003e p = [2, 5, 17, 37, 101, 197] ;\r\nm = 2000 =\u003e p = [2, 5, 17, 37, 101, 197, 257, 401, 577, 677, 1297, 1601] ;\r\n\r\nFobidden functions\r\nregexp\r\nstr2num\r\nassignin\r\necho\r\n\r\nSee also\r\n\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 719.033px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 359.517px; transform-origin: 408px 359.517px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.375px 8px; transform-origin: 375.375px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAt the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime numbers. These problems were characterised in his speech as \"unattackable at the present state of mathematics\" and are now known as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 65.825px 8px; transform-origin: 65.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eLandau's problems \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.725px 8px; transform-origin: 44.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(source : Wiki)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 376.275px 8px; transform-origin: 376.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe 4th Landau's problem aalso known as the 'near square primes' asked whether there are infinitely many primes which are of the form \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"110.5\" height=\"19\" style=\"width: 110.5px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 211.775px 8px; transform-origin: 211.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eYour task here is to list such primes below a given input integer\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 78.575px 8px; transform-origin: 78.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 20 =\u0026gt; p = [2, 5, 17] ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 125.25px 8px; transform-origin: 125.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 200 =\u0026gt; p = [2, 5, 17, 37, 101, 197] ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 230.275px 8px; transform-origin: 230.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 2000 =\u0026gt; p = [2, 5, 17, 37, 101, 197, 257, 401, 577, 677, 1297, 1601] ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.9167px 8px; transform-origin: 64.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFobidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e I\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = list_the_near_square_primes(m)\r\n p = m;\r\nend","test_suite":"%%\r\nm = 20;\r\np_correct = [2,5,17];\r\nassert(isequal(list_the_near_square_primes(m),p_correct))\r\n\r\n\r\n%%\r\nm = 200;\r\np_correct = [2,5,17,37,101,197];\r\nassert(isequal(list_the_near_square_primes(m),p_correct))\r\n\r\n\r\n%%\r\nm = 2000;\r\np_correct = [2, 5, 17, 37, 101, 197, 257, 401, 577, 677, 1297, 1601];\r\nassert(isequal(list_the_near_square_primes(m),p_correct))\r\n\r\n\r\n%% Test forbidden functions\r\nfiletext = fileread('list_the_near_square_primes.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":2,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:04:20.000Z","deleted_by":null,"deleted_at":null,"solvers_count":55,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-17T04:36:44.000Z","updated_at":"2026-02-13T13:18:04.000Z","published_at":"2025-07-17T05:04:11.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAt the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime numbers. These problems were characterised in his speech as \\\"unattackable at the present state of mathematics\\\" and are now known as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eLandau's problems \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(source : Wiki)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe 4th Landau's problem aalso known as the 'near square primes' asked whether there are infinitely many primes which are of the form \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep = n^2 + 1, n \\\\in \\\\mathbb{N}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eYour task here is to list such primes below a given input integer\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 20 =\u0026gt; p = [2, 5, 17] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 200 =\u0026gt; p = [2, 5, 17, 37, 101, 197] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 2000 =\u0026gt; p = [2, 5, 17, 37, 101, 197, 257, 401, 577, 677, 1297, 1601] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFobidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45256,"title":"List one vertex neighbors","description":"First input T is a triangulation connectivity indices list (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\r\nSecond input i is a vertex index (positive integer).\r\nThe purpose of this function is to query the list L of all i neighbor indices.\r\nFor instance if\r\nT = [1 2 4;...\r\n 2 3 4;...\r\n 5 6 8;...\r\n 6 7 8;...\r\n 1 2 5;...\r\n 2 5 6;...\r\n 2 3 6;...\r\n 3 6 7;...\r\n 3 4 7;...\r\n 4 7 8;...\r\n 4 1 8;...\r\n 1 8 5]\r\nand i = 3, then the function should return\r\nL = [2, 4, 6, 7]\r\nsince 2, 4, 6, and 7 are all part of triangles / rows in which 3 is also a vertex member.\r\nHypothesis :\r\n- Output L doesn't need to be ordered, but must not contain duplicated index.\r\n- Output L is a row vector , and if the vertex index is not in the list , the function must of course return the empty set, [].\r\n\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 710.633px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 355.317px; transform-origin: 408px 355.317px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; 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border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 5 6 8;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 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text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; 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0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 1 2 5;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 2 5 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 2 3 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 3 6 7;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 3 4 7;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 4 7 8;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 42.35px 8.5px; transform-origin: 42.35px 8.5px; \"\u003e 4 1 8;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 8.5px; tab-size: 4; transform-origin: 42.35px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 1 8 5]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 125.45px 8px; transform-origin: 125.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand i = 3, then the function should return\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eL = [2, 4, 6, 7]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 261.758px 8px; transform-origin: 261.758px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince 2, 4, 6, and 7 are all part of triangles / rows in which 3 is also a vertex member.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.5083px 8px; transform-origin: 38.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHypothesis :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2.33333px 8px; transform-origin: 2.33333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.15px 8px; transform-origin: 29.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eOutput L\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 116.075px 8px; transform-origin: 116.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e doesn't need to be ordered, but must\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.8px 8px; transform-origin: 96.8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003enot contain duplicated index.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2.33333px 8px; transform-origin: 2.33333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.0917px 8px; transform-origin: 80.0917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eOutput L is a row vector\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 8px; transform-origin: 17.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e , and\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 112.75px 8px; transform-origin: 112.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eif the vertex index is not in the list\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42px 8px; transform-origin: 42px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e , the function\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 119.392px 8px; transform-origin: 119.392px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003emust of course return the empty set\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, [].\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function L = query_vertex_neighbors(T,i)\r\n L = i;\r\nend","test_suite":"%% triangulated cube\r\nT = [1 2 4;...\r\n 2 3 4;...\r\n 5 6 8;...\r\n 6 7 8;...\r\n 1 2 5;...\r\n 2 5 6;...\r\n 2 3 6;...\r\n 3 6 7;...\r\n 3 4 7;...\r\n 4 7 8;...\r\n 4 1 8;...\r\n 1 8 5];\r\n \r\ni = 3;\r\nL = [2 4 6 7];\r\nassert(isequal(sort(query_vertex_neighbors(T,i),2),L))\r\n\r\n%% Octahedron\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 5;...\r\n 1 5 2;...\r\n 6 3 2;...\r\n 6 4 3;...\r\n 6 5 4;...\r\n 6 2 5];\r\n \r\ni = 5;\r\nL = [1 2 4 6];\r\nassert(isequal(sort(query_vertex_neighbors(T,i),2),L))\r\n\r\n%% Empty set test\r\nT = [2 3 5;...\r\n 3 5 7;...\r\n 5 7 11;...\r\n 7 11 13];\r\n\r\ni = 6;\r\n\r\nassert(isempty(query_vertex_neighbors(T,i)))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('query_vertex_neighbors.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:51:20.000Z","deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":"2025-07-09T05:47:54.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-01-07T09:24:11.000Z","updated_at":"2025-11-18T16:44:59.000Z","published_at":"2020-01-07T09:56:23.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFirst input T is a triangulation connectivity indices list (triplet list of indices -positive integers-, each index refering to a vertex number in a corresponding vertices list).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSecond input i is a vertex index (positive integer).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe purpose of this function is to query the list L of all i neighbor indices.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor instance if\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1 2 4;...\\n 2 3 4;...\\n 5 6 8;...\\n 6 7 8;...\\n 1 2 5;...\\n 2 5 6;...\\n 2 3 6;...\\n 3 6 7;...\\n 3 4 7;...\\n 4 7 8;...\\n 4 1 8;...\\n 1 8 5]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand i = 3, then the function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[L = [2, 4, 6, 7]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince 2, 4, 6, and 7 are all part of triangles / rows in which 3 is also a vertex member.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHypothesis :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e-\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput L\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e doesn't need to be ordered, but must\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enot contain duplicated index.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e-\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput L is a row vector\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e , and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eif the vertex index is not in the list\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e , the function\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emust of course return the empty set\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, [].\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60791,"title":"Sum of Even Fibonacci Numbers","description":"Description:\r\nThe Fibonacci sequence is defined as follows:F(1)=1,F(2)=1,F(n)=F(n−1)+F(n−2) for n\u003e2\r\nWrite a function that computes the sum of all even Fibonacci numbers that do not exceed a given number NNN.\r\nExample:\r\nFor N=10, the Fibonacci sequence up to 10 is:\r\n1,1,2,3,5,8\r\nThe even numbers are 2 and 8, and their sum is 10.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 201px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 100.5px; transform-origin: 407px 100.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eDescription:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Fibonacci sequence is defined as follows:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e−\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e+\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e−\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that computes the sum of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eall even Fibonacci numbers\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that do not exceed a given number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e10, the Fibonacci sequence up to 10 is:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e3\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e5\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e8\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe even numbers are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e2 and 8\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and their sum is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e10\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function sum_even_fib = even_fibonacci_sum(N)\r\n % Write your code here\r\nend\r\n","test_suite":"%% Test 1: Basic Case\r\nx = 10;\r\ny_correct = 10; % (2 + 8)\r\nassert(isequal(even_fibonacci_sum(x), y_correct))\r\n\r\n%% Test 2: Larger N\r\nx = 34;\r\ny_correct = 44; % (2 + 8 + 34)\r\nassert(isequal(even_fibonacci_sum(x), y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":383919,"edited_by":383919,"edited_at":"2025-02-10T11:48:53.000Z","deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-02-10T11:47:18.000Z","updated_at":"2025-11-14T09:05:50.000Z","published_at":"2025-02-10T11:48:53.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eDescription:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe Fibonacci sequence is defined as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e−\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e+\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e−\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that computes the sum of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eall even Fibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that do not exceed a given number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e10, the Fibonacci sequence up to 10 is:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe even numbers are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2 and 8\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and their sum is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60946,"title":"Fermat primes","description":"Historical context\r\n\r\n\r\nThe french mathematician Pierre de Fermat found the formula to find some prime numbers. He thought / conjectured all these numbers where primes, but P(5) is actually the first not prime Fermat number.\r\n\r\n\r\nProblem statement\r\n\r\nFor a given integer m, , list the Fermat prime numbers less or equal to m in a vector fp. Also compute their frequency / ratio f compare to all the primes in the same range. If , your function should return fp = [] and f = 0.\r\n\r\nExamples\r\n\r\nIf m = 10 then fp = [3, 5] and f = 2/3 since 3 = P(0), 5 = P(1), and there are in total three primes in the range [3; 10] ;\r\nIf m = 300 then fp = [3, 5, 17, 257] and f = 4/61 since 3 = P(0), 5 = P(1), 17 = P(2), 257 = P(3) and there are in total 61 prime numbers in the range [3; 300] ; \r\nIf m = 2 then fp = [] and f = 0;\r\n\r\n\r\nTip \r\n\r\n here.\r\n\r\n\r\nFobidden functions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\n\r\n\r\nSee also\r\nProblem 60942. Euler primes\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1001.03px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 500.517px; transform-origin: 408px 500.517px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 45px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 22.5px; text-align: left; transform-origin: 385px 22.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 193.7px 8px; transform-origin: 193.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe french mathematician Pierre de Fermat found the formula \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"96\" height=\"23.5\" style=\"width: 96px; height: 23.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.625px 8px; transform-origin: 132.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to find some prime numbers. He thought / conjectured all these numbers where primes, but P(5) is actually the first not prime Fermat number.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 60.2917px 8px; transform-origin: 60.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.225px 8px; transform-origin: 6.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"18\" style=\"width: 40px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 144.3px 8px; transform-origin: 144.3px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003elist the Fermat prime numbers less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.1083px 8px; transform-origin: 38.1083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a vector f\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 98.6167px 8px; transform-origin: 98.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Also compute their frequency / ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ef \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 146.242px 8px; transform-origin: 146.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ecompare to all the primes in the same range. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"18\" style=\"width: 40px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.8583px 8px; transform-origin: 82.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eyour function should return\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.1333px 8px; transform-origin: 23.1333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e fp = [] \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e f = 0.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.9833px 8px; transform-origin: 21.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 10\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e f\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 28.5833px 8px; transform-origin: 28.5833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [3, 5]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.975px 8px; transform-origin: 21.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 2/3 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 56.0083px 8px; transform-origin: 56.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e3 = P(0), 5 = P(1),\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 169.192px 8px; transform-origin: 169.192px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and there are in total three primes in the range [3; 10] \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 2.33333px 8px; transform-origin: 2.33333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.875px 8px; transform-origin: 25.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 300\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e f\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 55.8083px 8px; transform-origin: 55.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [3, 5, 17, 257]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.8667px 8px; transform-origin: 25.8667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 4/61 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 86.9333px 8px; transform-origin: 86.9333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e3 = P(0), 5 = P(1), 17 = P(2)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 32.875px 8px; transform-origin: 32.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e257 = P(3)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 66.125px 8px; transform-origin: 66.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand there are in total 61\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 85.5833px 8px; transform-origin: 85.5833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprime numbers in the range\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e [3; 300] ; \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 20.0333px 8px; transform-origin: 20.0333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 2 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 19.25px 8px; transform-origin: 19.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003efp = []\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14.2px 8px; transform-origin: 14.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.8917px 8px; transform-origin: 17.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.9167px 8px; transform-origin: 64.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFobidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60942-euler-primes\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 60942. Euler primes\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [fp, f] = fermat_primes(n)\r\n fp = n;\r\n f = 1;\r\nend","test_suite":"%%\r\nm = 10;\r\nfp_correct = [3, 5];\r\nf_correct = 2/3;\r\n[fp,f] = fermat_primes(m);\r\nassert(isequal([fp,f],[fp_correct,f_correct]));\r\n\r\n%%\r\nm = 300;\r\nfp_correct = [3, 5, 17, 257];\r\nf_correct = 4/61;\r\n[fp,f] = fermat_primes(m);\r\nassert(isequal([fp,f],[fp_correct,f_correct]));\r\n\r\n%%\r\nm = 2;\r\nfp_correct = [];\r\nf_correct = 0;\r\n[fp,f] = fermat_primes(m);\r\nassert(isequal([fp,f],[fp_correct,f_correct]));\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('fermat_primes.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T06:52:07.000Z","deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":"2025-07-09T05:57:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-27T05:33:53.000Z","updated_at":"2026-03-16T20:10:35.000Z","published_at":"2025-06-27T06:14:34.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe french mathematician Pierre de Fermat found the formula \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\mathbf{P(n) = 2^{2^n} + 1}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to find some prime numbers. He thought / conjectured all these numbers where primes, but P(5) is actually the first not prime Fermat number.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em \\\\geq 3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003elist the Fermat prime numbers less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in a vector f\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Also compute their frequency / ratio \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ecompare to all the primes in the same range. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em \u0026lt; 3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyour function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e fp = [] \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 10\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [3, 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 2/3 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3 = P(0), 5 = P(1),\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and there are in total three primes in the range [3; 10] \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 300\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [3, 5, 17, 257]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 4/61 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3 = P(0), 5 = P(1), 17 = P(2)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e257 = P(3)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand there are in total 61\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprime numbers in the range\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e [3; 300] ; \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 2 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efp = []\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en \\\\leq 4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e here.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFobidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60942-euler-primes\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 60942. Euler primes\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60942,"title":"Euler primes","description":"Historical context\r\n\r\n\r\nThe great swiss mathematician Leonhard Euler found the formula to give some prime numbers.\r\n\r\n\r\nProblem statement\r\n\r\nFor a given integer m, m \u003e= 41, list the Euler prime numbers less or equal to m in a vector ep. Also compute their frequency / ratio f compare to all the primes in the same range. If m is not a positive integer greater or equal to 41, your function should return ep = [] and f = 0.\r\n\r\nExamples (check the tests for more)\r\n\r\nIf m = 41 then ep = 41 and f = 1 since 41 = P(0) and it is the only prime number m greater or equal and less or equal to 41;\r\nIf m = 100 then ep = [41, 43, 47, 53, 61, 71, 83, 97] and f = 8/13 since 41 = P(0), 43 = P(1), 47 = P(2), 53 = P(3), 61 = P(4), 71 = P(5), 83 = P(6), and 97 = P(7), and in total there are 13 prime numbers in the range [41; 100] ; \r\nIf m = 19 then ep = [] and f = 0;\r\n\r\n\r\nTip \r\n\r\nn is less or equal to 107 here.\r\n\r\n\r\nFobidden functions\r\n\r\nregexp\r\nstr2num\r\nassignin\r\n\r\nSee also\r\nProblem 60944. Ulam primes first formula, Problem 60943. Ulam primes second formula\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 988.467px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 494.233px; transform-origin: 408px 494.233px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 204.608px 8px; transform-origin: 204.608px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe great swiss mathematician Leonhard Euler found the formula \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPoAAAAnCAYAAAAmTFXMAAAHhklEQVR4Xu1cWch3Qxj/voiyZLuwJAoXthTZtyyhLMmF5UL6csH3yZILwoXeJLLcWLJdfUrWJGVPFAn5EkVccEGJlC1LhPj9PufJeMw5Z2bOzPnP+Z/n1K/3fc87Z2ae5TfzzDNzzupVdpkGTANLr4HVSy+hCWgaMA2sMqKbE5gGZqABI/oMjGwimgaM6OYDpoEZaMCIPgMjQ8Q9gZuAcxpxv8TPK4HH5iG+SblIot8A9e8L3AK8k9EUJ6Ou84FnzZE3anV74DNgK4+O1+HefRl1b1VVqoFFEf0p6ONo4D3gpMy6oWO/Cuze/Dwrc/1Tq46z9gHAHcAeAMktpOfMvsvUBLL+xmtAE30tqrge2Dmgqp9Q5kPgfeBJ4KWAZ1iEJD+xefaIwGdii5Hs7Nu2wAvAXMnOkP0Z4HTg00aJtPG9jkJ3wO/fxirYyhfRwEeodW/gbeDwwBbORTkuw14Drm57pm1GvxYPcE2nr0Nxg2E2HegegGGyXOzcZc3/29q7Ff+4FNgU2Kmwg5HsnwN/ANcAcwxRaSfqQS+N/moMxBl9/8J2aPMFu/9fDdyPPy9qbvURnTa9uOGbTMq34e9oorOib5QlfI2/hTKHOeU4yzNk9s0QHBReBOhkl4xEPOYBrgN+bxxaZrU5O5lrW0Zhp8xZGZXILtyQ7rQRXZKqp6KgzrkkEZ0Nyqjf1bhv5n8cDzCc0BdnlYOAHwGG1GNd36OhrYF3gUPGarTidmibRwEOyicAOROhFYtdbdd8yVIf0cm14wAufY8HZAdFBCtKdD0SsVFfgmcRs7ko4E78wiUFL1l6VGv1ETomURgjnZsztccl2VVNXYwQQvM1mZovUo1MdH1h9NDGaY9tAK7N5QppU0/EoxOdndVrf4bszK7z/tjJH4Y7nwBUzBOAL9oYaqypPC8RWE6SU3YjepoHyCzNhLYMlKxpEkRnSMhQWS53TfgFbu6appNBTzF856j5C7DloJqm+zCXLa8ATLK6MznvDw3fjejxfkG9Pw0wGcpk8eSIrhM8siakKh4E1rToRATXW3sSCtKZzgAY4nAweQ7gnnDI1tCbKCfbFVMK391MrKhNRnvq60bgSICJmY+BFcB32o2D7QfAXYrktM2FwNCEXG6il/SFUEqWDN1pjzeAKwDyxdUf+1fdjE6n0kkBvUZzhehcR6AuX2LivMaB3TWMGIvOvU+A5dw+TO00mM8J1kNmdy/cVQH15ZJdnIqRFM8WuBd3TPpsEqDeIqF7KV8IkYdlShKdAzgvbpHxqpro+uAFO+wjEdfnst8ekqjRW3Yc3ejYzOZvB7wOuLN+CHFjBhufI2hDhDqLr1zsaUSd8GSykzq4HWDIrfumk6Gu/n390QNDimy5Z3TpQwlfCJWvFNEZRa0ARwESjVZFdDrQQwD3yY9RZOPMKmGIVqRrrBSi6xlHh7Mhe8EuWdq2/7ocoCais5/uYOE78yDLE1/or+XMkRwdi+g5fGGRRJcoRW9rVkl0V1Hf4Y+Xm5mlTYG5iZ6iFJfoIesfLQujlzWhHtJTLvRoo1Tj28LUUYHeagkZUDOJs7GaRRE9xRdC5S4xo5MLvqOqKXKMur0WorRlIHqInKXK1ED0nBFNzCCkQ3c9o6cQROykiZJqv9CJg1tpFwC+nFKKHEZ0j8XczP8D+L8kQVKNO+ZzRvR/tT1lopOYXP7y/Qt97YYbbt7JfWGszVerI7qbmQ8ZzUuM4kOTcWMSW7dVA9H7li6uozJf80OHwvpefHIfLeELUj/r7rrkHQ4hXVtZHnYJmThSIoiuaKE6oseSrIRx3T6kZJlzhq5Ds+50OFuj/0O7lJA3dNDOvUZfeqK7MxK/+sJ3o7uuEkSX93zZ7l5A7FtsRvRum1kyrn/46IogliJ0pwp+BrYAQo7AliD6b2h7M+BrYMd+m/yvRF/oGlOlZd3DtVXCF0Jbzz2jd7WbEplkCd3lRRC3c/oMe6jCWI7r9LMBhpx9M2pu47oRRY5TYDFy5yhbwxq9Tw6b0fs0FB4RsWRIJl8TvTPJ3LZebDtokXpO3HVWnre+vEVu37FHLYA+dtt3DJafUjqtaa9vkBlmrjJP+5YN7iEX36CckocY0vsSRC/hCzEy1jyj+74D0fm1oJRvxrFCfrkl9tNMfR+eaHuRgcYRsvvO1vP/JDv3KPVbWHSWrwAabT0Qkh2NcYbSZdsGXNrgzKZxvpGmvzbC6OvhEeXNTfQSvhBrq9qILstHvZ535WrdlovNAMcqyy3PmYdvUG0O3A20zepD2tDPPoIb3EP/FeBLHSFvuuVsfy515SZ6DXobk+jF5R2T6BSGoxJfxtgEOBYY+h50l4K4XHge+BNgpn8ZvnpS3CESG3CTlTH75InNjfKYZMlD98lH6VRqI2MTnf3k6M8Qmh+B2K/QLGtfgE31CHtuKTWwCKLLzL7SkP3gzGQnyTcA3M5jG7G5hKU0tAk1bw0siujUOkPrAwEmk3KG8KXqnbenmPST1sAiiT5pxVnnTQNT0oARfUrWsr6aBhI1YERPVJw9ZhqYkgaM6FOylvXVNJCoASN6ouLsMdPAlDTwN/mhUUZ/zPewAAAAAElFTkSuQmCC\" width=\"125\" height=\"19.5\" style=\"width: 125px; height: 19.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.1833px 8px; transform-origin: 92.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to give some prime numbers.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 60.2917px 8px; transform-origin: 60.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.225px 8px; transform-origin: 6.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 26.075px 8px; transform-origin: 26.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em \u0026gt;= 41\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 138.475px 8px; transform-origin: 138.475px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003elist the Euler prime numbers less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.1667px 8px; transform-origin: 36.1667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a vector \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.3833px 8px; transform-origin: 96.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Also compute their frequency / ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ef \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 286.658px 8px; transform-origin: 286.658px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ecompare to all the primes in the same range. If m is not a positive integer greater or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.6667px 8px; transform-origin: 11.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e41, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.35px 8px; transform-origin: 63.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eyour function should return\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24.6917px 8px; transform-origin: 24.6917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e ep = [] \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e f = 0.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6167px 8px; transform-origin: 34.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79.3333px 8px; transform-origin: 79.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(check the tests for more)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.167px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 51.0833px; transform-origin: 392px 51.0833px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.9833px 8px; transform-origin: 21.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 41\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 23.925px 8px; transform-origin: 23.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eep = 41\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.1417px 8px; transform-origin: 16.1417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 1 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 28.9833px 8px; transform-origin: 28.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e41 = P(0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 99.575px 8px; transform-origin: 99.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and it is the only prime number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 108.533px 8px; transform-origin: 108.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e greater or equal and less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 10.1167px 8px; transform-origin: 10.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e41;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.875px 8px; transform-origin: 25.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 100\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 110.258px 8px; transform-origin: 110.258px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eep = [41, 43, 47, 53, 61, 71, 83, 97]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.8667px 8px; transform-origin: 25.8667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 8/13 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 141.192px 8px; transform-origin: 141.192px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e41 = P(0), 43 = P(1), 47 = P(2), 53 = P(3), 61 = P(4), 71 = P(5), 83 = P(6), and 97 = P(7), \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 64.1833px 8px; transform-origin: 64.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand in total there are\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.6667px 8px; transform-origin: 11.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 13 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 85.5833px 8px; transform-origin: 85.5833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprime numbers in the range\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 34.9917px 8px; transform-origin: 34.9917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e [41; 100] ; \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 23.925px 8px; transform-origin: 23.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 19 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 20.8083px 8px; transform-origin: 20.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eep = []\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14.2px 8px; transform-origin: 14.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.3417px 8px; transform-origin: 58.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e107\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.8917px 8px; transform-origin: 17.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.9167px 8px; transform-origin: 64.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFobidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60944-ulam-primes-first-formula\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-style: italic; \"\u003eProblem 60944. Ulam primes first formula\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60943-ulam-primes-second-formula\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-style: italic; \"\u003eProblem 60943. Ulam primes second formula\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [ep,f] = euler_primes(m)\r\n ep = m;\r\n f = 1;\r\nend","test_suite":"%%\r\nm = 41;\r\nep_correct = 41;\r\nf_correct = 1;\r\n[ep,f] = euler_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%%\r\nm = 100;\r\nep_correct = [41, 43, 47, 53, 61, 71, 83, 97];\r\nf_correct = 8/13;\r\n[ep,f] = euler_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%%\r\nm = 200;\r\nep_correct = [41, 43, 47, 53, 61, 71, 83, 97, 113, 131, 151, 173, 197];\r\nf_correct = 13/34;\r\n[ep,f] = euler_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%%\r\nm = 19;\r\nep_correct = [];\r\nf_correct = 0;\r\n[ep,f] = euler_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('euler_primes.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T06:49:26.000Z","deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":"2025-07-09T05:56:34.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-26T14:44:30.000Z","updated_at":"2026-03-16T19:16:06.000Z","published_at":"2025-06-26T15:44:04.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe great swiss mathematician Leonhard Euler found the formula \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\mathbf{P(n) = n^2 + n + 41}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to give some prime numbers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em \u0026gt;= 41\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003elist the Euler prime numbers less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in a vector \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Also compute their frequency / ratio \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ecompare to all the primes in the same range. If m is not a positive integer greater or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e41, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyour function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e ep = [] \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(check the tests for more)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 41\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep = 41\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 1 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e41 = P(0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and it is the only prime number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e greater or equal and less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e41;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 100\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep = [41, 43, 47, 53, 61, 71, 83, 97]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 8/13 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e41 = P(0), 43 = P(1), 47 = P(2), 53 = P(3), 61 = P(4), 71 = P(5), 83 = P(6), and 97 = P(7), \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand in total there are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 13 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprime numbers in the range\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e [41; 100] ; \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 19 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep = []\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e107\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e here.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFobidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60944-ulam-primes-first-formula\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem 60944. Ulam primes first formula\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60943-ulam-primes-second-formula\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem 60943. Ulam primes second formula\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45261,"title":"List every vertices neighbor indices","description":"Input T is a triangulation.\r\nThe purpose of this function is to query at once the cell array N of all vertex neighbor indices... of every vertices, nothing less (!)\r\nOutput N must be a cell array since of course each vertex may have a different number of neighbors.\r\nFor example, for an input filled octahedron whom triangulation is\r\nT = [1, 2, 3;...\r\n 1, 3, 4;...\r\n 1, 4, 5;...\r\n 1, 2, 5;...\r\n 2, 3, 6;...\r\n 3, 4, 6;...\r\n 4, 5, 6;...\r\n 2, 5, 6;...\r\n 2, 3, 4;...\r\n 2, 4, 5;...\r\n 1, 2, 4;...\r\n 2, 4, 6],\r\nthen the output N is a 6x1 cell array of integers row vectors, such that :\r\nN(1,1) = {[2, 3, 4, 5]};\r\nN(2,1) = {[1, 3, 4, 5, 6]};\r\nN(3,1) = {[1, 2, 4, 6]};\r\nN(4,1) = {[1, 2, 3, 5, 6]};\r\nN(5,1) = {[1, 2, 4, 6]};\r\nN(6,1) = {[2, 3, 4, 5]};\r\nIndeed vertex #2 is part of triangles [1, 2, 3], [1, 2, 5], [2, 3, 6], [2, 5, 6], [2, 3, 4], [2, 4, 5], [1, 2, 4], and [2, 4, 6], it then admit all the other vertices as neighbors ([1, 3, 4, 5, 6]).\r\nHypothesis / conditions :\r\na vertex is the neighbor of another if they are linked with an edge in at least one same triangle. A vertex is not neighbor of itself.\r\nOutput N row order is crucial since row number actually corresponds to the vertex id / index.\r\nOutput N cells content order doesn't matter, but it doesn't admit any duplicated index / value.\r\nTip : solving my previous problems, and especially query_vertex_neighbors will help you to fully understand and solve this one.\r\nNB : the question of unreferenced vertices is not tacled here. We just supposed there are not.\r\n\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 936.533px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 468.267px; transform-origin: 408px 468.267px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6083px 8px; transform-origin: 34.6083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInput T is a\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/help/matlab/ref/triangulation.html\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003etriangulation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 372.617px 8px; transform-origin: 372.617px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe purpose of this function is to query at once the cell array N of all vertex neighbor indices... of every vertices, nothing less (!)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 311.425px 8px; transform-origin: 311.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOutput N must be a cell array since of course each vertex may have a different number of neighbors.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 198.783px 8px; transform-origin: 198.783px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, for an input filled octahedron whom triangulation is\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 245.2px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 122.6px; transform-origin: 405px 122.6px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003eT = [1, 2, 3;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 1, 3, 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 1, 4, 5;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 1, 2, 5;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 2, 3, 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 3, 4, 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 4, 5, 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 2, 5, 6;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 2, 3, 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 2, 4, 5;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 61.6px 8.5px; tab-size: 4; transform-origin: 61.6px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 50.05px 8.5px; transform-origin: 50.05px 8.5px; \"\u003e 1, 2, 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2, 4, 6],\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 218.575px 8px; transform-origin: 218.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen the output N is a 6x1 cell array of integers row vectors, such that :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 122.6px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 61.3px; transform-origin: 405px 61.3px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 92.4px 8.5px; tab-size: 4; transform-origin: 92.4px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eN(1,1) = {[2, 3, 4, 5]};\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 103.95px 8.5px; tab-size: 4; transform-origin: 103.95px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eN(2,1) = {[1, 3, 4, 5, 6]};\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 92.4px 8.5px; tab-size: 4; transform-origin: 92.4px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eN(3,1) = {[1, 2, 4, 6]};\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 103.95px 8.5px; tab-size: 4; transform-origin: 103.95px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eN(4,1) = {[1, 2, 3, 5, 6]};\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 92.4px 8.5px; tab-size: 4; transform-origin: 92.4px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eN(5,1) = {[1, 2, 4, 6]};\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 92.4px 8.5px; tab-size: 4; transform-origin: 92.4px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eN(6,1) = {[2, 3, 4, 5]};\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 382.583px 8px; transform-origin: 382.583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIndeed vertex #2 is part of triangles [1, 2, 3], [1, 2, 5], [2, 3, 6], [2, 5, 6], [2, 3, 4], [2, 4, 5], [1, 2, 4], and [2, 4, 6], it then admit all the other vertices as neighbors ([1, 3, 4, 5, 6]).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.2px 8px; transform-origin: 83.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHypothesis / conditions :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ea\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 108.875px 8px; transform-origin: 108.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003evertex is the neighbor of another\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 94.525px 8px; transform-origin: 94.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e if they are linked with an edge\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 93.7167px 8px; transform-origin: 93.7167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ein at least one same triangle\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 50.1583px 8px; transform-origin: 50.1583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. A vertex is not neighbor of itself.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 96.425px 8px; transform-origin: 96.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eOutput N row order is crucial\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e since\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 190.142px 8px; transform-origin: 190.142px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003erow number actually corresponds to the vertex id / index.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 285.433px 8px; transform-origin: 285.433px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOutput N cells content order doesn't matter, but it doesn't admit any duplicated index / value.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.6417px 8px; transform-origin: 14.6417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip :\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23.7333px 8px; transform-origin: 23.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e solving\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/players/8668631-nicolas-douillet/created\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003emy previous problems\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.2417px 8px; transform-origin: 48.2417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and especially\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/45256-query-a-vertex-neighbors\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003equery_vertex_neighbors\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 145.875px 8px; transform-origin: 145.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e will help you to fully understand and solve this one.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 288.867px 8px; transform-origin: 288.867px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNB : the question of unreferenced vertices is not tacled here. We just supposed there are not.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function N = query_every_vertices_neighbor_indices(T)\r\n N = num2cell(T);\r\nend","test_suite":"%% Filled octahedron\r\nT = [1, 2, 3;...\r\n 1, 3, 4;...\r\n 1, 4, 5;...\r\n 1, 2, 5;...\r\n 2, 3, 6;...\r\n 3, 4, 6;...\r\n 4, 5, 6;...\r\n 2, 5, 6;...\r\n 2, 3, 4;...\r\n 2, 4, 5;...\r\n 1, 2, 4;...\r\n 2, 4, 6];\r\n \r\nN = cell(6,1);\r\n\r\nN(1,1) = {[2, 3, 4, 5]};\r\nN(2,1) = {[1, 3, 4, 5, 6]};\r\nN(3,1) = {[1, 2, 4, 6]};\r\nN(4,1) = {[1, 2, 3, 5, 6]};\r\nN(5,1) = {[1, 2, 4, 6]};\r\nN(6,1) = {[2, 3, 4, 5]};\r\n\r\nassert(isequal(query_every_vertices_neighbor_indices(T),N))\r\n\r\n%% Triangulated cube\r\nT = [1, 2, 4;...\r\n 2, 3, 4;...\r\n 5, 6, 8;...\r\n 6, 7, 8;...\r\n 1, 2, 5;...\r\n 2, 5, 6;...\r\n 2, 3, 6;...\r\n 3, 6, 7;...\r\n 3, 4, 7;...\r\n 4, 7, 8;...\r\n 1, 4, 8;...\r\n 1, 5, 8];\r\n\r\nN = cell(8,1);\r\n\r\nN(1,1) = {[2, 4, 5, 8]};\r\nN(2,1) = {[1, 3, 4, 5, 6]};\r\nN(3,1) = {[2, 4, 6, 7]};\r\nN(4,1) = {[1, 2, 3, 7, 8]};\r\nN(5,1) = {[1, 2, 6, 8]};\r\nN(6,1) = {[2, 3, 5, 7, 8]};\r\nN(7,1) = {[3, 4, 6, 8]};\r\nN(8,1) = {[1 4 5 6 7]};\r\n\r\nassert(isequal(query_every_vertices_neighbor_indices(T),N))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('query_every_vertices_neighbor_indices.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":4,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:49:16.000Z","deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":"2025-07-09T05:51:29.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-01-10T08:35:13.000Z","updated_at":"2025-11-16T17:45:29.000Z","published_at":"2020-01-10T09:24:12.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eInput T is a\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/help/matlab/ref/triangulation.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003etriangulation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe purpose of this function is to query at once the cell array N of all vertex neighbor indices... of every vertices, nothing less (!)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput N must be a cell array since of course each vertex may have a different number of neighbors.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, for an input filled octahedron whom triangulation is\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1, 2, 3;...\\n 1, 3, 4;...\\n 1, 4, 5;...\\n 1, 2, 5;...\\n 2, 3, 6;...\\n 3, 4, 6;...\\n 4, 5, 6;...\\n 2, 5, 6;...\\n 2, 3, 4;...\\n 2, 4, 5;...\\n 1, 2, 4;...\\n 2, 4, 6],]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen the output N is a 6x1 cell array of integers row vectors, such that :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[N(1,1) = {[2, 3, 4, 5]};\\nN(2,1) = {[1, 3, 4, 5, 6]};\\nN(3,1) = {[1, 2, 4, 6]};\\nN(4,1) = {[1, 2, 3, 5, 6]};\\nN(5,1) = {[1, 2, 4, 6]};\\nN(6,1) = {[2, 3, 4, 5]};]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIndeed vertex #2 is part of triangles [1, 2, 3], [1, 2, 5], [2, 3, 6], [2, 5, 6], [2, 3, 4], [2, 4, 5], [1, 2, 4], and [2, 4, 6], it then admit all the other vertices as neighbors ([1, 3, 4, 5, 6]).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHypothesis / conditions :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003evertex is the neighbor of another\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e if they are linked with an edge\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ein at least one same triangle\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. A vertex is not neighbor of itself.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOutput N row order is crucial\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e since\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003erow number actually corresponds to the vertex id / index.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput N cells content order doesn't matter, but it doesn't admit any duplicated index / value.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip :\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e solving\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/players/8668631-nicolas-douillet/created\\\"\u003e\u003cw:r\u003e\u003cw:t\u003emy previous problems\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, and especially\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/45256-query-a-vertex-neighbors\\\"\u003e\u003cw:r\u003e\u003cw:t\u003equery_vertex_neighbors\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e will help you to fully understand and solve this one.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNB : the question of unreferenced vertices is not tacled here. We just supposed there are not.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60977,"title":"Linear primes p' = mp + n","description":"Problem statement\r\n\r\nList the prime numbers of the form p' = mp + n for a given (m,n) couple and such that p' \u003c k, k positive integer.\r\n\r\nExamples \r\n\r\n(m,n) = (3,2) and k = 50 =\u003e p = [11, 17, 23, 41];\r\n(m,n) = (4,3) and k = 50 =\u003e p = [11, 23, 31, 47];\r\n(m,n) = (5,4) and k = 100 =\u003e p = [19, 29, 59, 89];\r\n\r\nForbidden functions / expressions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 536.033px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 268.017px; transform-origin: 408px 268.017px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 108.508px 8px; transform-origin: 108.508px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eList the prime numbers of the form \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.7917px 8px; transform-origin: 34.7917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep' = mp + n\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.5583px 8px; transform-origin: 36.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for a given \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16.3333px 8px; transform-origin: 16.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(m,n)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 68.4583px 8px; transform-origin: 68.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e couple and such that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 26.025px 8px; transform-origin: 26.025px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep' \u0026lt; k, k \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.625px 8px; transform-origin: 48.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003epositive integer.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 149.425px 8px; transform-origin: 149.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(m,n) = (3,2) and k = 50 =\u0026gt; p = [11, 17, 23, 41];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 149.425px 8px; transform-origin: 149.425px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(m,n) = (4,3) and k = 50 =\u0026gt; p = [11, 23, 31, 47];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 149.95px 8px; transform-origin: 149.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(m,n) = (5,4) and k = 100 =\u0026gt; p = [19, 29, 59, 89];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties I\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = list_the_linear_primes(m,n,k)\r\n p = m;\r\nend","test_suite":"%%\r\nm = 3;\r\nn = 2;\r\nk = 50;\r\np_correct = [11, 17, 23, 41];\r\nassert(isequal(list_the_linear_primes(m,n,k),p_correct))\r\n\r\n%%\r\nm = 4;\r\nn = 3;\r\nk = 50;\r\np_correct = [11, 23, 31, 47];\r\nassert(isequal(list_the_linear_primes(m,n,k),p_correct))\r\n\r\n%%\r\nm = 5;\r\nn = 4;\r\nk = 100;\r\np_correct = [19, 29, 59, 89];\r\nassert(isequal(list_the_linear_primes(m,n,k),p_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('list_the_linear_primes.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-21T10:46:17.000Z","deleted_by":null,"deleted_at":null,"solvers_count":31,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-21T10:27:56.000Z","updated_at":"2026-02-12T08:56:23.000Z","published_at":"2025-07-21T10:46:17.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eList the prime numbers of the form \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep' = mp + n\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e for a given \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(m,n)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e couple and such that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep' \u0026lt; k, k \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003epositive integer.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(m,n) = (3,2) and k = 50 =\u0026gt; p = [11, 17, 23, 41];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(m,n) = (4,3) and k = 50 =\u0026gt; p = [11, 23, 31, 47];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(m,n) = (5,4) and k = 100 =\u0026gt; p = [19, 29, 59, 89];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60971,"title":"List the twin prime couples","description":"Problem statement\r\nThe twin prime couples (p,p') are the ones such that p' = p + 2. \r\nFor a given integer n \u003e 1, list the twin prime couples less or equal to n.\r\nPresent your result in a m x 2 matrix, where m is the number of twin couples.\r\n\r\nExamples\r\n\r\nn = 10 =\u003e p = [3, 5; 5, 7];\r\nn = 20 =\u003e p = [3, 5; 5, 7; 11, 13; 17 19];\r\nn = 100 =\u003e p = [3, 5; 5, 7; 11, 13; 17 19; 29, 31; 41, 43; 59, 61; 71, 73];\r\n\r\nForbidden functions / expressions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 566.033px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 283.017px; transform-origin: 408px 283.017px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.9083px 8px; transform-origin: 73.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe twin prime couples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.725px 8px; transform-origin: 15.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(p,p')\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.1167px 8px; transform-origin: 73.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are the ones such that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.8417px 8px; transform-origin: 32.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep' = p + 2. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 60.2917px 8px; transform-origin: 60.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.6417px 8px; transform-origin: 19.6417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en \u0026gt; 1, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 131.475px 8px; transform-origin: 131.475px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003elist the twin prime couples less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73.9px 8px; transform-origin: 73.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ePresent your result in a \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.1083px 8px; transform-origin: 17.1083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em x 2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 146.242px 8px; transform-origin: 146.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e matrix, where m is the number of twin couples.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 80.5083px 8px; transform-origin: 80.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en = 10 =\u0026gt; p = [3, 5; 5, 7];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 124.717px 8px; transform-origin: 124.717px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en = 20 =\u0026gt; p = [3, 5; 5, 7; 11, 13; 17 19];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 218.058px 8px; transform-origin: 218.058px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en = 100 =\u0026gt; p = [3, 5; 5, 7; 11, 13; 17 19; 29, 31; 41, 43; 59, 61; 71, 73];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties I\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = list_twin_prime_couples(n)\r\n p = n;\r\nend","test_suite":"%%\r\nn = 10;\r\np_correct = [3, 5; 5, 7];\r\nassert(isequal(list_twin_prime_couples(n),p_correct))\r\n\r\n%%\r\nn = 20;\r\np_correct = [3, 5; 5, 7; 11, 13; 17 19];\r\nassert(isequal(list_twin_prime_couples(n),p_correct))\r\n\r\n%%\r\nn = 100;\r\np_correct = [3, 5; 5, 7; 11, 13; 17 19; 29, 31; 41, 43; 59, 61; 71, 73];\r\nassert(isequal(list_twin_prime_couples(n),p_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('list_twin_prime_couples.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:05:02.000Z","deleted_by":null,"deleted_at":null,"solvers_count":34,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-20T04:27:30.000Z","updated_at":"2026-02-12T07:20:05.000Z","published_at":"2025-07-21T04:54:31.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe twin prime couples \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(p,p')\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are the ones such that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep' = p + 2. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en \u0026gt; 1, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003elist the twin prime couples less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePresent your result in a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em x 2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e matrix, where m is the number of twin couples.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 10 =\u0026gt; p = [3, 5; 5, 7];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 20 =\u0026gt; p = [3, 5; 5, 7; 11, 13; 17 19];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 100 =\u0026gt; p = [3, 5; 5, 7; 11, 13; 17 19; 29, 31; 41, 43; 59, 61; 71, 73];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60976,"title":"List the complementary / symetric prime couples","description":"Problem statement\r\n\r\nFor a given positive integer n, provide the prime couples (p,p') such that p + p' = 10^n.\r\nNB : a number like 5 which is its own complementary to 10 is accepted as a couple : (5,5), but no duplicata should be in the list.\r\n\r\nExamples (check the test suite for more)\r\n\r\nn = 1 =\u003e p = [3, 7; 5, 5];\r\nn = 2 =\u003e p = [3, 97; 11, 89; 17, 83; 29, 71; 41, 59; 47, 53];\r\n\r\nForbidden functions / expressions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\n\r\nProblem 60971. List the twin prime couples\r\nPrime numbers properties I","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 626.6px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 313.3px; transform-origin: 408px 313.3px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 85.9667px 8px; transform-origin: 85.9667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given positive integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.0833px 8px; transform-origin: 82.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprovide the prime couples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.6667px 8px; transform-origin: 17.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(p,p') \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.3333px 8px; transform-origin: 30.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esuch that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 42.3167px 8px; transform-origin: 42.3167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep + p' = 10^n\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 59.5083px 8px; transform-origin: 59.5083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNB : a number like \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e5\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 110.075px 8px; transform-origin: 110.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e which is its own complementary to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e10\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.9px 8px; transform-origin: 80.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is accepted as a couple : \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.275px 8px; transform-origin: 18.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e(5,5), \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 102.7px 8px; transform-origin: 102.7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ebut no duplicata should be in the list.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 94.5px 8px; transform-origin: 94.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (check the test suite for more)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 72.7333px 8px; transform-origin: 72.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en = 1 =\u0026gt; p = [3, 7; 5, 5];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 177.225px 8px; transform-origin: 177.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en = 2 =\u0026gt; p = [3, 97; 11, 89; 17, 83; 29, 71; 41, 59; 47, 53];\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60971-list-the-twin-prime-couples\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 60971. List the twin prime couples\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties I\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = list_complementary_prime_couples(n)\r\n p = n;\r\nend","test_suite":"%%\r\nn = 1;\r\np_correct = [3, 7; 5, 5];\r\nassert(isequal(list_complementary_prime_couples(n),p_correct))\r\n\r\n%%\r\nn = 2;\r\np_correct = [3, 97; 11, 89; 17, 83; 29, 71; 41, 59; 47, 53];\r\nassert(isequal(list_complementary_prime_couples(n),p_correct))\r\n\r\n%%\r\nn = 3;\r\np_correct = [3, 997; 17, 983; 23, 977; 29, 971; 47, 953; 53, 947; 59, 941; 71, 929; 89, 911; 113, 887; 137, 863; 173, 827; 179, 821; 191, 809; 227, 773; 239, 761; 257, 743; 281, 719; 317, 683; 347, 653; 353, 647; 359, 641; 383, 617; 401, 599; 431, 569; 443, 557; 479, 521; 491, 509];\r\nassert(isequal(list_complementary_prime_couples(n),p_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('list_complementary_prime_couples.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:05:32.000Z","deleted_by":null,"deleted_at":null,"solvers_count":33,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-21T09:12:23.000Z","updated_at":"2026-02-12T08:55:22.000Z","published_at":"2025-07-21T09:58:58.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given positive integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprovide the prime couples \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(p,p') \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esuch that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep + p' = 10^n\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eNB : a number like \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e which is its own complementary to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is accepted as a couple : \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e(5,5), \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ebut no duplicata should be in the list.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (check the test suite for more)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 1 =\u0026gt; p = [3, 7; 5, 5];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 2 =\u0026gt; p = [3, 97; 11, 89; 17, 83; 29, 71; 41, 59; 47, 53];\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60971-list-the-twin-prime-couples\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 60971. List the twin prime couples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties I\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":58817,"title":"Find the phi variation as a function of distance after solving through finite volume method. Return dphi/dx at all faces in form of array.","description":"\r\nThe question is a NPTEL online course assignment question. I have put it here becuase I wanted to create a problem set for numerical methods and computational engineering so that mechanical engineers can try it out. Interested ones can contact me so that we can create a problem group for CFD and FEM. 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63.0199px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384.502px 31.5044px; text-align: left; transform-origin: 384.502px 31.51px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe question is a NPTEL online course assignment question. I have put it here becuase I wanted to create a problem set for numerical methods and computational engineering so that mechanical engineers can try it out. Interested ones can contact me so that we can create a problem group for CFD and FEM. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = oneD(n) %n is the number of grid points\r\n \r\nend","test_suite":"%%\r\nn = 5;\r\ny_correct = [0,47.5,38.5,23.5,2.5,0];\r\nassert(isequal(oneD(n),y_correct))\r\n%% \r\nfiletext = fileread('oneD.m');\r\nillegal = contains(filetext,'47.5'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":1809490,"edited_by":1809490,"edited_at":"2023-08-13T05:44:21.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2023-08-13T05:44:21.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-08-07T17:01:20.000Z","updated_at":"2024-11-02T15:52:16.000Z","published_at":"2023-08-07T17:29:20.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"523\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"1200\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe question is a NPTEL online course assignment question. I have put it here becuase I wanted to create a problem set for numerical methods and computational engineering so that mechanical engineers can try it out. Interested ones can contact me so that we can create a problem group for CFD and FEM. 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primes second formula","description":"Historical context\r\n\r\n\r\nThe polish-american mathematician Stanislaw Ulam found the formula to give some prime numbers not given neither by Euler's formula neither by its own first formula. \r\n\r\n\r\nProblem statement\r\n\r\nFor a given integer m, m \u003e= 59, list the Ulam prime numbers less or equal to m in a vector up. Also compute their frequency / ratio f compare to all the primes in the same range. If m is not a positive integer greater or equal to 59, your function should return up = [] and f = 0.\r\n\r\nExamples (check the tests for more)\r\n\r\nIf m = 59 then up = 59 and f = 1 since 59 = P(0) and it is the only prime number m greater or equal and less or equal to 59;\r\nIf m = 200 then up = [59, 67, 83, 107, 139, 179] and f = 6/30 since 59 = P(0), 67 = P(1), 83 = P(2), 107 = P(3), 139 = P(4), 179 = P(5), and there are in total 30 prime numbers in the range [59; 200] ; \r\nIf m = 23 then up = [] and f = 0;\r\n\r\n\r\nTip \r\n\r\n here.\r\n\r\n\r\nFobidden functions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\n\r\n\r\nSee also\r\nUlam primes first formula\r\nEuler primes\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; 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\"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 219.4px 8px; transform-origin: 219.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe polish-american mathematician Stanislaw Ulam found the formula \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"140\" height=\"19.5\" style=\"width: 140px; height: 19.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.1833px 8px; transform-origin: 92.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to give some prime numbers not given neither by Euler's formula neither by its own first formula. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 60.2917px 8px; transform-origin: 60.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.225px 8px; transform-origin: 6.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 26.075px 8px; transform-origin: 26.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em \u0026gt;= 59\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 138.475px 8px; transform-origin: 138.475px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003elist the Ulam prime numbers less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a vector u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.3833px 8px; transform-origin: 96.3833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Also compute their frequency / ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ef \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 294.442px 8px; transform-origin: 294.442px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ecompare to all the primes in the same range. If m is not a positive integer greater or equal to 59\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.35px 8px; transform-origin: 63.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eyour function should return\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.075px 8px; transform-origin: 25.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e up = [] \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e f = 0.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6167px 8px; transform-origin: 34.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79.3333px 8px; transform-origin: 79.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(check the tests for more)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.167px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 51.0833px; transform-origin: 392px 51.0833px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.9833px 8px; transform-origin: 21.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 59\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 6.21667px 8px; transform-origin: 6.21667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 20.0333px 8px; transform-origin: 20.0333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = 59\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.1417px 8px; transform-origin: 16.1417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 1 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 26.0667px 8px; transform-origin: 26.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince 59\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.2px 8px; transform-origin: 21.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e = P(0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 99.575px 8px; transform-origin: 99.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and it is the only prime number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 108.533px 8px; transform-origin: 108.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e greater or equal and less or equal to 59\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 2.33333px 8px; transform-origin: 2.33333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.875px 8px; transform-origin: 25.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 200\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 6.21667px 8px; transform-origin: 6.21667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 94.7083px 8px; transform-origin: 94.7083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [59, 67, 83, 107, 139, 179]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.8667px 8px; transform-origin: 25.8667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 6/30 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 26.0667px 8px; transform-origin: 26.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince 59\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 147.225px 8px; transform-origin: 147.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e = P(0), 67 = P(1), 83 = P(2), 107 = P(3), 139 = P(4), 179 = P(5), \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 73.9083px 8px; transform-origin: 73.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand there are in total 30\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 85.5833px 8px; transform-origin: 85.5833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprime numbers in the range\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 34.9917px 8px; transform-origin: 34.9917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e [59; 200] ; \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 23.925px 8px; transform-origin: 23.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 23 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 19.45px 8px; transform-origin: 19.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.9167px 8px; transform-origin: 16.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = []\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14.2px 8px; transform-origin: 14.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.9167px 8px; transform-origin: 64.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFobidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630/problems/60944\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eUlam primes first formula\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60942-euler-primes\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eEuler primes\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [up,f] = ulam_primes2(m)\r\n up = m;\r\n f = 1;\r\nend","test_suite":"%%\r\nm = 59;\r\nup_correct = 59;\r\nf_correct = 1;\r\n[up,f] = ulam_primes2(m);\r\nassert(isequal([up,f],[up_correct,f_correct]));\r\n\r\n%%\r\nm = 200;\r\nup_correct = [59, 67, 83, 107, 139, 179];\r\nf_correct = 1/5;\r\n[up,f] = ulam_primes2(m);\r\nassert(isequal([up,f],[up_correct,f_correct]));\r\n\r\n%%\r\nm = 500;\r\nup_correct = [59, 67, 83, 107, 139, 179, 227, 283, 347, 419, 499];\r\nf_correct = 11/79;\r\n[up,f] = ulam_primes2(m);\r\nassert(isequal([up,f],[up_correct,f_correct]));\r\n\r\n%%\r\nm = 23;\r\nup_correct = [];\r\nf_correct = 0;\r\n[up,f] = ulam_primes2(m);\r\nassert(isequal([up,f],[up_correct,f_correct]));\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('ulam_primes2.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:08:26.000Z","deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":"2025-07-09T05:56:45.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-26T19:08:27.000Z","updated_at":"2026-03-16T19:09:48.000Z","published_at":"2025-06-26T19:44:55.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe polish-american mathematician Stanislaw Ulam found the formula \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\mathbf{P(n) = 4n^2 + 4n + 59}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to give some prime numbers not given neither by Euler's formula neither by its own first formula. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em \u0026gt;= 59\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003elist the Ulam prime numbers less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in a vector u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Also compute their frequency / ratio \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ecompare to all the primes in the same range. If m is not a positive integer greater or equal to 59\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyour function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e up = [] \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(check the tests for more)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 59\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 59\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 1 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince 59\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e = P(0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and it is the only prime number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e greater or equal and less or equal to 59\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 200\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [59, 67, 83, 107, 139, 179]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 6/30 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince 59\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e = P(0), 67 = P(1), 83 = P(2), 107 = P(3), 139 = P(4), 179 = P(5), \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand there are in total 30\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprime numbers in the range\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e [59; 200] ; \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 23 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = []\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en \\\\leq 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w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630/problems/60944\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eUlam primes first formula\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60942-euler-primes\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eEuler primes\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60941,"title":"Prime numbers which are the difference of two consecutive cubes","description":"Problem statement\r\n\r\nGiven a positive integer n greater than 2, find the prime numbers less or equal to n and which are the difference of the cubes of two consecutive integers and store them in ascending order in a row vector u. Also, compute the frequency / ratio f of those numbers compare to all the prime numbers less or equal to n.\r\n\r\nExamples\r\n\r\nIf n = 100, then u = [7, 19, 37, 61], and f = 4/25, since 7 = 2^3 - 1^3, 19 = 3^3 - 2^3, 37 = 4^3 - 3^3, 61 = 5^3 - 4^3, and there are 25 prime numbers less or equal to 100;\r\nIf n = 400, then u = [7, 19, 37, 61, 127, 271, 331, 397], and f = 8/78, since 127 = 7^3 - 6^3, 271 = 10^3 - 9^3, 331 = 11^3 - 10^3, 397 = 12^3 - 11^3, and there are 78 prime numbers less or equal to 400;\r\nTips\r\n\r\n\r\n\r\nForbidden functions\r\n\r\nregexpr\r\nstr2num\r\nassignin\r\n\r\nSee also\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 668.033px; display: block; 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font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.075px 8px; transform-origin: 75.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a positive integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; 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margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 122.917px 8px; transform-origin: 122.917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003efind the prime numbers less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 129.833px 8px; transform-origin: 129.833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and which are the difference of the cubes of two consecutive integers and store them in ascending order in a row vector \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eu\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.95px 8px; transform-origin: 113.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Also, compute the frequency / ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ef\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.71667px 8px; transform-origin: 9.71667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of those numbers compare to all the prime numbers less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 6.21667px 8px; transform-origin: 6.21667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 27.8083px 8px; transform-origin: 27.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 100, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14.775px 8px; transform-origin: 14.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 61.6333px 8px; transform-origin: 61.6333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e u = [7, 19, 37, 61], \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 12.4417px 8px; transform-origin: 12.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.8667px 8px; transform-origin: 25.8667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e f = 4/25\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.3417px 8px; transform-origin: 16.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 190.017px 8px; transform-origin: 190.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 7 = 2^3 - 1^3, 19 = 3^3 - 2^3, 37 = 4^3 - 3^3, 61 = 5^3 - 4^3, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 41.625px 8px; transform-origin: 41.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand there are\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.6667px 8px; transform-origin: 11.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 25 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 96.0833px 8px; transform-origin: 96.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprime numbers less or equal to\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 100;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 6.21667px 8px; transform-origin: 6.21667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 27.8083px 8px; transform-origin: 27.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 400, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14.775px 8px; transform-origin: 14.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 123.867px 8px; transform-origin: 123.867px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e u = [7, 19, 37, 61, 127, 271, 331, 397], \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 12.4417px 8px; transform-origin: 12.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.8667px 8px; transform-origin: 25.8667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e f = 8/78\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.3417px 8px; transform-origin: 16.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 129.25px 8px; transform-origin: 129.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 127 = 7^3 - 6^3, 271 = 10^3 - 9^3, 331 = 11^3 - 10^3, 397 = 12^3 - 11^3, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 41.625px 8px; transform-origin: 41.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand there are\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.6667px 8px; transform-origin: 11.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 78 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 96.0833px 8px; transform-origin: 96.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprime numbers less or equal to\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 400;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.2583px 8px; transform-origin: 14.2583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTips\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"176\" height=\"19.5\" style=\"width: 176px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.6417px 8px; transform-origin: 67.6417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 23.7333px 8px; transform-origin: 23.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexpr\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [u, f] = cube_delta_primes(n)\r\n \r\n u = n;\r\n f = 1;\r\n\r\nend","test_suite":"%%\r\nn = 100;\r\nu_correct = [7, 19, 37, 61];\r\nf_correct = 4/25;\r\n[u,f] = cube_delta_primes(n);\r\nassert(isequal([u,f],[u_correct,f_correct]));\r\n\r\n%%\r\nn = 400;\r\nu_correct = [7, 19, 37, 61, 127, 271, 331, 397];\r\nf_correct = 8/78;\r\n[u,f] = cube_delta_primes(n);\r\nassert(isequal([u,f],[u_correct,f_correct]));\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('cube_delta_primes.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T06:46:51.000Z","deleted_by":null,"deleted_at":null,"solvers_count":30,"test_suite_updated_at":"2025-07-09T05:55:53.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-26T11:57:42.000Z","updated_at":"2026-03-30T01:16:24.000Z","published_at":"2025-06-26T12:34:41.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a positive integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003egreater than\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 2, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003efind the prime numbers less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and which are the difference of the cubes of two consecutive integers and store them in ascending order in a row vector \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eu\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Also, compute the frequency / ratio \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e of those numbers compare to all the prime numbers less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 100, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e u = [7, 19, 37, 61], \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 4/25\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 7 = 2^3 - 1^3, 19 = 3^3 - 2^3, 37 = 4^3 - 3^3, 61 = 5^3 - 4^3, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand there are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 25 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprime numbers less or equal to\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 100;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 400, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e u = [7, 19, 37, 61, 127, 271, 331, 397], \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 8/78\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 127 = 7^3 - 6^3, 271 = 10^3 - 9^3, 331 = 11^3 - 10^3, 397 = 12^3 - 11^3, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand there are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 78 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprime numbers less or equal to\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 400;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTips\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(n+1)^3 - n^3 = 3n^2 + 3n + 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexpr\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60987,"title":"Build triangulation from -sorted- edge list","description":"Problem statement\r\nAn edge list is simply a N x 2 matrix of positive integers, in which N is the number of edges and each integer is a vertex index. Like this, an edge is defined by the indices of its two vertices.\r\nA triangulation is simply a M x 3 matrix of positive integers, in which M is the number of triangles and each integer is a vertex index. Like this, a triangle is defined by the indices of its three vertices.\r\nIn this problem the gaol is to rebuild the triangulation from the ordered edge list. \r\n\r\nExample (check the test suite here below for more)\r\nE = [1 2;\r\n 1 3;\r\n 2 3];\r\n=\u003e\r\nT = [1 2 3];\r\n\r\nTips \u0026 clues\r\nSince a triangle always has 3 edges, you could process the edge list by blocks of 3 rows;\r\nTriangles orientation (vertices order in the list) doesn't matter here : [1 2 3] and [1 3 2] are a same unique triangle;\r\nOn the other hand, the order of the triangles in the list should be preserved;\r\nYou could see this as the reciprocal operation to the one of building the edge list (E = nchoosek(T,2) )\r\n\r\nForbidden functions / expressions\r\nregexp\r\nassignin\r\nstr2num\r\necho\r\n\r\nSee also\r\nMesh processing\r\nMesh generation toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 792.2px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 396.1px; transform-origin: 408px 396.1px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 369.9px 8px; transform-origin: 369.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAn edge list is simply a N x 2 matrix of positive integers, in which N is the number of edges and each integer is a vertex index. Like this, an edge is defined by the indices of its two vertices.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 366.017px 8px; transform-origin: 366.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA triangulation is simply a M x 3 matrix of positive integers, in which M is the number of triangles and each integer is a vertex index. Like this, a triangle is defined by the indices of its three vertices.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 269.417px 8px; transform-origin: 269.417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIn this problem the gaol is to rebuild the triangulation from the ordered edge list. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7833px 8px; transform-origin: 28.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 130.683px 8px; transform-origin: 130.683px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (check the test suite here below for more)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 30.65px; transform-origin: 405px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 34.65px 8.5px; tab-size: 4; transform-origin: 34.65px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eE = [1 2;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 34.65px 8.5px; tab-size: 4; transform-origin: 34.65px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 1 3;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 38.5px 8.5px; tab-size: 4; transform-origin: 38.5px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 3];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 46.2px 8.5px; tab-size: 4; transform-origin: 46.2px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eT = [1 2 3];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 41.0917px 8px; transform-origin: 41.0917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTips \u0026amp; clues\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 275.008px 8px; transform-origin: 275.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSince a triangle always has 3 edges, you could process the edge list by blocks of 3 rows;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 350.75px 8px; transform-origin: 350.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTriangles orientation (vertices order in the list) doesn't matter here : [1 2 3] and [1 3 2] are a same unique triangle;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 232.992px 8px; transform-origin: 232.992px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOn the other hand, the order of the triangles in the list should be preserved;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 312.692px 8px; transform-origin: 312.692px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"perspective-origin: 249.483px 8px; transform-origin: 249.483px 8px; \"\u003eYou could see this as the reciprocal operation to the one of building the edge list \u003c/span\u003e\u003cspan style=\"border-block-end-style: solid; border-block-end-width: 1px; border-bottom-style: solid; border-bottom-width: 1px; perspective-origin: 2.33333px 8.5px; transform-origin: 2.33333px 8.5px; \"\u003e(\u003c/span\u003e\u003cspan style=\"perspective-origin: 58.5417px 8px; transform-origin: 58.5417px 8px; \"\u003eE = nchoosek(T,2) \u003c/span\u003e\u003cspan style=\"border-block-end-style: solid; border-block-end-width: 1px; border-bottom-style: solid; border-bottom-width: 1px; perspective-origin: 2.33333px 8.5px; transform-origin: 2.33333px 8.5px; \"\u003e)\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 114.308px 8px; transform-origin: 114.308px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions / expressions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/57483\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function T = build_triangulation_from_edge_list(E)\r\n\r\n T = E;\r\n \r\nend","test_suite":"%% One triangle\r\nE = [1 2;\r\n 1 3;\r\n 2 3];\r\n\r\nT_correct = [1 2 3];\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Two independant consecutive triangles\r\nE = [1 2;\r\n 1 3;\r\n 2 3;\r\n 4 5;\r\n 4 6;\r\n 5 6];\r\n\r\nT_correct = [1 2 3;\r\n 4 5 6];\r\n\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Two consecutive linked triangles\r\nE = [1 2;\r\n 1 3;\r\n 2 3;\r\n 3 2;\r\n 3 4;\r\n 2 4];\r\n\r\nT_correct = [1 2 3;\r\n 3 2 4];\r\n\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Full example #1 : tetrahedron\r\nE = [1 2;\r\n 2 4;\r\n 1 4;\r\n 2 3;\r\n 3 4;\r\n 2 4;\r\n 3 1;\r\n 1 4;\r\n 3 4;\r\n 1 3;\r\n 1 2;\r\n 3 2];\r\n\r\nT_correct = [1 2 4;\r\n 2 3 4;\r\n 3 1 4;\r\n 1 3 2];\r\n\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Full example #2 : octahedron\r\nE = [1 2;\r\n 1 5;\r\n 2 5;\r\n 2 3;\r\n 2 5;\r\n 3 5;\r\n 3 4;\r\n 3 5;\r\n 4 5;\r\n 4 1;\r\n 4 5;\r\n 1 5;\r\n 1 6;\r\n 1 2;\r\n 6 2;\r\n 2 6;\r\n 2 3;\r\n 6 3;\r\n 3 6;\r\n 3 4;\r\n 6 4;\r\n 4 6;\r\n 4 1;\r\n 6 1];\r\n\r\nT_correct = [1 2 5;\r\n 2 3 5;\r\n 3 4 5;\r\n 4 1 5;\r\n 1 6 2;\r\n 2 6 3;\r\n 3 6 4;\r\n 4 6 1];\r\n\r\nassert(isequal(sort(build_triangulation_from_edge_list(E),2),sort(T_correct,2)))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('build_triangulation_from_edge_list.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-08-27T15:26:58.000Z","deleted_by":null,"deleted_at":null,"solvers_count":19,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-07-23T20:11:40.000Z","updated_at":"2026-02-15T07:41:39.000Z","published_at":"2025-07-24T08:24:46.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAn edge list is simply a N x 2 matrix of positive integers, in which N is the number of edges and each integer is a vertex index. Like this, an edge is defined by the indices of its two vertices.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA triangulation is simply a M x 3 matrix of positive integers, in which M is the number of triangles and each integer is a vertex index. Like this, a triangle is defined by the indices of its three vertices.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIn this problem the gaol is to rebuild the triangulation from the ordered edge list. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (check the test suite here below for more)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[E = [1 2;\\n 1 3;\\n 2 3];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1 2 3];]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTips \u0026amp; clues\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSince a triangle always has 3 edges, you could process the edge list by blocks of 3 rows;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTriangles orientation (vertices order in the list) doesn't matter here : [1 2 3] and [1 3 2] are a same unique triangle;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOn the other hand, the order of the triangles in the list should be preserved;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYou could see this as the reciprocal operation to the one of building the edge list (E = nchoosek(T,2) )\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions / expressions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/57483\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/85173-mesh-generation-toolbox?s_tid=prof_contriblnk\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45219,"title":"Find edges from a vertex","description":"First input is T, a triplet list of indices. Second input is i, a single index (positive integer). The goal of this function is to find and return all the edges [e1 e2] this vertex belong to.\r\nFor example if inputs are\r\nT = [1 2 3 ;...\r\n 1 3 4 ;...\r\n 1 4 2 ;...\r\n 2 3 4]\r\nand\r\ni = 4\r\nthen the output is the 3 x 2\r\nmatrix edg_list= [1 4;...\r\n 3 4;...\r\n 2 4]\r\nsince vertex number 4 is linked with vertices number 1, 2, and 3 and then part of edges [1 4], [2 4], and [3 4]. Format of the output must be the following :\r\nsize(edg_list) = [number of edges, 2]\r\nEvery row of it is an edge at the format [e1, e2], sorted in ascending order, i.e. e1 \u003c e2, and e1, e2 positive integers.\r\nEach edge is present once and only once, no duplicated edge admitted\r\nOrder of rows / edges in the output doesn't matter .\r\nIf the vertex is not in the list, the function must of course return the empty set.\r\n\r\nSee also\r\nMesh generation\r\nMesh processing toolbox","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 632.2px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 316.1px; transform-origin: 408px 316.1px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 375.725px 8px; transform-origin: 375.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFirst input is T, a triplet list of indices. Second input is i, a single index (positive integer). The goal of this function is to find and return all the edges [e1 e2] this vertex belong to.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 77.0167px 8px; transform-origin: 77.0167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example if inputs are\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 40.8667px; transform-origin: 405px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 57.75px 8.5px; tab-size: 4; transform-origin: 57.75px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 46.2px 8.5px; transform-origin: 46.2px 8.5px; \"\u003eT = [1 2 3 ;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 57.75px 8.5px; tab-size: 4; transform-origin: 57.75px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 46.2px 8.5px; transform-origin: 46.2px 8.5px; \"\u003e 1 3 4 ;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 57.75px 8.5px; tab-size: 4; transform-origin: 57.75px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 46.2px 8.5px; transform-origin: 46.2px 8.5px; \"\u003e 1 4 2 ;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 42.35px 8.5px; tab-size: 4; transform-origin: 42.35px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 3 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 10.2167px; transform-origin: 405px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; text-wrap-mode: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 19.25px 8.5px; tab-size: 4; transform-origin: 19.25px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ei = 4\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.45px 8px; transform-origin: 82.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen the output is the 3 x 2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 405px 30.65px; transform-origin: 405px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 96.25px 8.5px; tab-size: 4; transform-origin: 96.25px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 26.95px 8.5px; transform-origin: 26.95px 8.5px; \"\u003ematrix \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 53.9px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 53.9px 8.5px; \"\u003eedg_list= [1 4\u003c/span\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 3.85px 8.5px; transform-origin: 3.85px 8.5px; \"\u003e;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 96.25px 8.5px; tab-size: 4; transform-origin: 96.25px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 84.7px 8.5px; transform-origin: 84.7px 8.5px; \"\u003e 3 4;\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(14, 0, 255); border-block-start-color: rgb(14, 0, 255); border-bottom-color: rgb(14, 0, 255); border-inline-end-color: rgb(14, 0, 255); border-inline-start-color: rgb(14, 0, 255); border-left-color: rgb(14, 0, 255); border-right-color: rgb(14, 0, 255); border-top-color: rgb(14, 0, 255); caret-color: rgb(14, 0, 255); color: rgb(14, 0, 255); column-rule-color: rgb(14, 0, 255); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(14, 0, 255); perspective-origin: 11.55px 8.5px; text-decoration-color: rgb(14, 0, 255); text-emphasis-color: rgb(14, 0, 255); transform-origin: 11.55px 8.5px; \"\u003e...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 405px 10.2167px; text-wrap-mode: nowrap; transform-origin: 405px 10.2167px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 84.7px 8.5px; tab-size: 4; transform-origin: 84.7px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e 2 4]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 380.75px 8px; transform-origin: 380.75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince vertex number 4 is linked with vertices number 1, 2, and 3 and then part of edges [1 4], [2 4], and [3 4]. Format of the output must be the following :\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 113.392px 8px; transform-origin: 113.392px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esize(edg_list) = [number of edges, 2]\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 240.742px 8px; transform-origin: 240.742px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEvery row of it is an edge at the format [e1, e2], sorted in ascending order, i.e.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 23.5417px 8px; transform-origin: 23.5417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ee1 \u0026lt; e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 91.4083px 8px; transform-origin: 91.4083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and e1, e2 positive integers.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 236.008px 8px; transform-origin: 236.008px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eEach edge is present once and only once, no duplicated edge admitted\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 166.133px 8px; transform-origin: 166.133px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eOrder of rows / edges in the output doesn't matter\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e .\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 238.775px 8px; transform-origin: 238.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf the vertex is not in the list, the function must of course return the empty set.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95796\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh generation\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eMesh processing toolbox\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function edg_list = find_edges_from_vertex(T,i)\r\n edg_list = T;\r\nend","test_suite":"%% Tetrahedron\r\nT = [1 2 3;...\r\n 1 3 4;...\r\n 1 4 2;...\r\n 2 3 4];\r\n \r\ni = 4;\r\n\r\nedg_list = [1 4;...\r\n 2 4;...\r\n 3 4];\r\n \r\nassert(isequal(sortrows(find_edges_from_vertex(T,i)),edg_list))\r\n \r\n%% Triangulated cube\r\nT = [1 2 4;...\r\n 2 3 4;...\r\n 5 6 8;...\r\n 6 7 8;...\r\n 1 2 5;...\r\n 2 5 6;...\r\n 2 3 6;...\r\n 3 6 7;...\r\n 3 4 7;...\r\n 4 7 8;...\r\n 4 1 8;...\r\n 1 8 5];\r\n\r\ni = 7;\r\n\r\nedg_list = [3 7;...\r\n 4 7;...\r\n 6 7;...\r\n 7 8];\r\n\r\nassert(isequal(sortrows(find_edges_from_vertex(T,i)),edg_list)); \r\n\r\n%% Empty set test\r\nT = [2 3 5;...\r\n 3 5 7;...\r\n 5 7 11;...\r\n 7 11 13];\r\n \r\ni = 8;\r\n\r\nassert(isempty(find_edges_from_vertex(T,i)))\r\n\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('find_edges_from_vertex.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:51:56.000Z","deleted_by":null,"deleted_at":null,"solvers_count":28,"test_suite_updated_at":"2025-07-09T05:49:14.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-12-02T15:54:28.000Z","updated_at":"2025-11-18T16:58:11.000Z","published_at":"2019-12-03T07:32:15.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFirst input is T, a triplet list of indices. Second input is i, a single index (positive integer). The goal of this function is to find and return all the edges [e1 e2] this vertex belong to.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example if inputs are\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[T = [1 2 3 ;...\\n 1 3 4 ;...\\n 1 4 2 ;...\\n 2 3 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[i = 4]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen the output is the 3 x 2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[matrix edg_list= [1 4;...\\n 3 4;...\\n 2 4]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esince vertex number 4 is linked with vertices number 1, 2, and 3 and then part of edges [1 4], [2 4], and [3 4]. Format of the output must be the following :\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esize(edg_list) = [number of edges, 2]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEvery row of it is an edge at the format [e1, e2], sorted in ascending order, i.e.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ee1 \u0026lt; e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and e1, e2 positive integers.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEach edge is present once and only once, no duplicated edge admitted\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOrder of rows / edges in the output doesn't matter\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e .\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf the vertex is not in the list, the function must of course return the empty set.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95796\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh generation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/fileexchange/77004-mesh-processing-toolbox?s_tid=srchtitle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eMesh processing toolbox\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60947,"title":"Euclid primes","description":"Historical context\r\nEuclid, the greek mathematician proved at his time that the prime numbers set is an infinite. By the way he built some numbers, the Euclid numbers, an infinity of which are thought to be prime (it is still a conjecture). These numbers write themselves as e(n) = 1 + the nth primorial : (notre that 2 and 3 are the two first Euclid primes)\r\n\r\n \r\n \r\n\r\nProblem statement\r\n\r\nFor a given integer m, m \u003e= 2, list the Euclid prime numbers less or equal to m in a vector ep. Also compute their frequency / ratio f compare to all the primes in the same range. If , your function should return ep = [] and f = 0.\r\n \r\n\r\nExamples (check the tests for more) \r\n\r\nIf m = 10 then ep = [2, 3, 7] and f = 3/4 since 5 is the only prime number over the four ones less than 10 which is not an Euclid prime;\r\n \r\nIf m = 300 then ep = [2, 3, 7, 31, 211] and f = 5/62 since 2 and 3 are Euclid primes, 7 = 2x3+1, 31 = 2x3x5+1, 211 = 2x3x5x7+1, and there are in total 62 prime numbers in the range [2; 300] ; \r\n \r\nIf m = 1 then ep = [] and f = 0;\r\n \r\nTip \r\n here.\r\n \r\n\r\nFobidden functions \r\nregexp\r\n \r\nstr2num\r\n \r\nassignin\r\n\r\n\r\nSee also\r\nProblem 60942. Euler primes\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1228.27px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 614.133px; transform-origin: 408px 614.133px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 364.45px 8px; transform-origin: 364.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEuclid, the greek mathematician proved at his time that the prime numbers set is an infinite. By the way he built some numbers, the Euclid numbers, an infinity of which are thought to be prime (it is still a conjecture). These numbers write themselves as e(n) = 1 + the nth primorial : (notre that 2 and 3 are the two first Euclid primes)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan 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\" width=\"174.5\" height=\"58\" style=\"width: 174.5px; height: 58px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 60.2917px 8px; transform-origin: 60.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.225px 8px; transform-origin: 6.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 22.1833px 8px; transform-origin: 22.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em \u0026gt;= 2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 141.2px 8px; transform-origin: 141.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003elist the Euclid prime numbers less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.1667px 8px; transform-origin: 36.1667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a vector \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.4583px 8px; transform-origin: 96.4583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Also compute their frequency / ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ef \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 146.242px 8px; transform-origin: 146.242px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ecompare to all the primes in the same range. If \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"18\" style=\"width: 40px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.8583px 8px; transform-origin: 82.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eyour function should return\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24.6917px 8px; transform-origin: 24.6917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e ep = [] \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e f = 0.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6167px 8px; transform-origin: 34.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79.3333px 8px; transform-origin: 79.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(check the tests for more)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.9833px 8px; transform-origin: 21.9833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 10\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 40.25px 8px; transform-origin: 40.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eep = [2, 3, 7]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.975px 8px; transform-origin: 21.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 3/4 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.3417px 8px; transform-origin: 16.3417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 220.933px 8px; transform-origin: 220.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e5 is the only prime number over the four ones less than 10 which is not an Euclid prime\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.875px 8px; transform-origin: 25.875px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 300\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 66.9583px 8px; transform-origin: 66.9583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eep = [2, 3, 7, 31, 211]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.8667px 8px; transform-origin: 25.8667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 5/62 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e3\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 59.9px 8px; transform-origin: 59.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are Euclid primes, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 100.45px 8px; transform-origin: 100.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e7 = 2x3+1, 31 = 2x3x5+1, 211 = 2x3x5x7+1, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 41.625px 8px; transform-origin: 41.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand there are\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 20.6167px 8px; transform-origin: 20.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ein total\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 9.725px 8px; transform-origin: 9.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e62 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 85.5833px 8px; transform-origin: 85.5833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprime numbers in the range\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 31.1px 8px; transform-origin: 31.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e [2; 300] ; \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 20.0333px 8px; transform-origin: 20.0333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 1 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 20.8083px 8px; transform-origin: 20.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003eep = []\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14.2px 8px; transform-origin: 14.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 11px; text-align: left; transform-origin: 385px 11px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"49\" height=\"20\" style=\"width: 49px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.8917px 8px; transform-origin: 17.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e here.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.9167px 8px; transform-origin: 64.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFobidden functions\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 20.4333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 10.2167px; transform-origin: 392px 10.2167px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60942-euler-primes\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 60942. Euler primes\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [ep,f] = euclid_primes(n)\r\n ep = n;\r\n f = 1;\r\nend","test_suite":"%%\r\nm = 5;\r\nep_correct = [2,3];\r\nf_correct = 2/3;\r\n[ep,f] = euclid_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%%\r\nm = 10;\r\nep_correct = [2,3,7];\r\nf_correct = 3/4;\r\n[ep,f] = euclid_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%%\r\nm = 100;\r\nep_correct = [2,3,7,31];\r\nf_correct = 4/25;\r\n[ep,f] = euclid_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%%\r\nm = 300;\r\nep_correct = [2,3,7,31,211];\r\nf_correct = 5/62;\r\n[ep,f] = euclid_primes(m);\r\nassert(isequal([ep,f],[ep_correct,f_correct]));\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('euclid_primes.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T06:54:43.000Z","deleted_by":null,"deleted_at":null,"solvers_count":16,"test_suite_updated_at":"2025-07-09T05:57:31.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-27T12:58:55.000Z","updated_at":"2026-03-16T20:27:53.000Z","published_at":"2025-06-27T13:49:30.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEuclid, the greek mathematician proved at his time that the prime numbers set is an infinite. By the way he built some numbers, the Euclid numbers, an infinity of which are thought to be prime (it is still a conjecture). These numbers write themselves as e(n) = 1 + the nth primorial : (notre that 2 and 3 are the two first Euclid primes)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"heading\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ee(n) = 1 + \\\\prod_{p_n \\\\in \\\\mathbb{P}} p_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em \u0026gt;= 2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003elist the Euclid prime numbers less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in a vector \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Also compute their frequency / ratio \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ecompare to all the primes in the same range. If \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em \u0026lt; 2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyour function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e ep = [] \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(check the tests for more)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 10\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep = [2, 3, 7]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 3/4 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e5 is the only prime number over the four ones less than 10 which is not an Euclid prime\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 300\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep = [2, 3, 7, 31, 211]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 5/62 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e are Euclid primes, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e7 = 2x3+1, 31 = 2x3x5+1, 211 = 2x3x5x7+1, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand there are\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ein total\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e62 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprime numbers in the range\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e [2; 300] ; \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 1 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eep = []\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTip\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep_n \\\\leq 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Euler primes\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60940,"title":"Find the first occurence of a given gap between two consecutive prime numbers","description":"Problem statement \r\n\r\nGiven a gap = p' - p between the two consecutive prime numbers p and p', find its first occurence, f.\r\n\r\nExamples\r\n\r\nIf , f=2, since 5 - 3 = 2, and 3 is the 2nd prime;\r\nIf , f=4, since 11 - 7 = 4, and 7 is the 4th prime;\r\nIf , f=9, since 29 - 23 = 6, and 23 is the 9th prime;\r\nIf neither equals an even positive integer nor equals 1 your function should return the empty set : f = []; \r\n\r\nSee also\r\nProblem 60939. Frequencies of prime gaps\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 403.3px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 201.65px; transform-origin: 408px 201.65px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; 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margin-top: 0px; perspective-origin: 142.367px 8px; transform-origin: 142.367px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e between the two consecutive prime numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.10833px 8px; transform-origin: 9.10833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep', \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 75.4417px 8px; transform-origin: 75.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003efind its first occurence, f.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; 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margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"18\" style=\"width: 40px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, f\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 7.98333px 8px; transform-origin: 7.98333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e=2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 90.0333px 8px; transform-origin: 90.0333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, since 5 - 3 = 2, and 3 is the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 12.4417px 8px; transform-origin: 12.4417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e2nd\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.3917px 8px; transform-origin: 21.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e prime;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"18\" style=\"width: 40px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, f\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 7.98333px 8px; transform-origin: 7.98333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e=4\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 93.4083px 8px; transform-origin: 93.4083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, since 11 - 7 = 4, and 7 is the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 10.5px 8px; transform-origin: 10.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e4th\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.3917px 8px; transform-origin: 21.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e prime;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"18\" style=\"width: 40px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, f\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 7.98333px 8px; transform-origin: 7.98333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e=9\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 101.708px 8px; transform-origin: 101.708px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, since 29 - 23 = 6, and 23 is the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 10.5px 8px; transform-origin: 10.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e9th\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.3917px 8px; transform-origin: 21.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e prime;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003eΔ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 158.333px 8px; transform-origin: 158.333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e neither equals an even positive integer nor equals \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 132.625px 8px; transform-origin: 132.625px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eyour function should return the empty set : \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.975px 8px; transform-origin: 14.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ef = []\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e; \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60939-frequencies-of-prime-gaps\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 60939. Frequencies of prime gaps\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function f = first_occurence_of_prime_gap(delta)\r\n f = delta;\r\nend","test_suite":"%%\r\ndelta = 2;\r\nf_correct = 2;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 4;\r\nf_correct = 4;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 6;\r\nf_correct = 9;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 8;\r\nf_correct = 24;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 14;\r\nf_correct = 30;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 10;\r\nf_correct = 34;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 12;\r\nf_correct = 46;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 1;\r\nf_correct = 1;\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = 3;\r\nf_correct = [];\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%%\r\ndelta = -1 +1i*pi;\r\nf_correct = [];\r\nassert(isequal(first_occurence_of_prime_gap(delta),f_correct))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('first_occurence_of_prime_gap.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T06:47:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":25,"test_suite_updated_at":"2025-07-09T05:56:06.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-25T12:22:19.000Z","updated_at":"2026-03-30T01:19:31.000Z","published_at":"2025-06-25T13:06:05.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a gap \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e= p' - p\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e between the two consecutive prime numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep', \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003efind its first occurence, f.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta = 2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, f\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e=2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, since 5 - 3 = 2, and 3 is the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2nd\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e prime;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta = 4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, f\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e=4\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, since 11 - 7 = 4, and 7 is the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e4th\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e prime;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta = 6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, f\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e=9\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, since 29 - 23 = 6, and 23 is the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e9th\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e prime;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e neither equals an even positive integer nor equals \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyour function should return the empty set : \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = []\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e; \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/problems/60939-frequencies-of-prime-gaps\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 60939. Frequencies of prime gaps\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60949,"title":"Check the integers additive decomposition conjecture","description":"Problem statement\r\n\r\nA conjecture (I rediscovered ?) related to Goldbach's one states that every integer above 2 can be written as the sum of at maximum two prime numbers and the number 1. The goal of this problem is to check this decomposition. Given a positive integer n as an input, your algorithm will return a vector of two primes, [p1, p2], plus potentially the number 1, [1, p1, p2], such that either n = p1 + p2 (case where n is an even number) or n = 1 + p1 + p2 (case where n is an odd number). This p vector will be sorted in ascending order : 1 \u003c p1 \u003c p2 \u003c n. For n = 1 or n = 2 your algorithm should simply return n.\r\n\r\nExamples (check the tests below for more)\r\n\r\nn = 3 =\u003e p = [1, 2] ;\r\nn = 7 =\u003e p = [2, 5] ;\r\nn = 17 =\u003e p = [1, 3, 13] ;\r\nn = 20 =\u003e p = [1; 19] ; % p1 may not be prime in this case\r\nn = 23 =\u003e p = [1, 3, 19] ;\r\nn = 60 =\u003e p = [1, 59] ; % p1 may not be prime in this case\r\nn = 1 =\u003e p = 1 ;\r\nn = 2 =\u003e p = 2;\r\n\r\nTips\r\n\r\nEven if maybe not unique, there is always a solution. If you find a case withouit, at least you will have proven the conjecture to be false ! A simple way to start is to begin with seeking p2, the greater prime before n (even when n is prime itself. Then if the difference between n and this number is a prime number, you just have found p1. Else, add 1 and it should complete the sum.\r\n\r\nForbidden functions\r\n\r\nregexp\r\nstr2num\r\nassignin\r\necho\r\n\r\nSee also\r\n\r\nProblem 60939. Frequencies of prime gaps\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 956.067px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 478.033px; transform-origin: 408px 478.033px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 52.5px; text-align: left; transform-origin: 385px 52.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 212.925px 8px; transform-origin: 212.925px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA conjecture (I rediscovered ?) related to Goldbach's one states that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.675px 8px; transform-origin: 67.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eevery integer above \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e2 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 96.0417px 8px; transform-origin: 96.0417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ecan be written as the sum of at maximum two prime numbers and the number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 201.867px 8px; transform-origin: 201.867px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e The goal of this problem is to check this decomposition. Given a positive integer n as an input, your algorithm will return a vector of two primes, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.275px 8px; transform-origin: 25.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e[p1, p2],\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87.525px 8px; transform-origin: 87.525px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e plus potentially the number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.7083px 8px; transform-origin: 28.7083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1, [1, p1, p2], \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.3333px 8px; transform-origin: 30.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esuch that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eeither \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36.5583px 8px; transform-origin: 36.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = p1 + p2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0667px 8px; transform-origin: 40.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(case where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.6667px 8px; transform-origin: 18.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is an \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.95px 8px; transform-origin: 15.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eeven\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.95px 8px; transform-origin: 29.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e number) \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7px 8px; transform-origin: 7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eor\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.3667px 8px; transform-origin: 50.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003en = 1 + p1 + p2 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0667px 8px; transform-origin: 40.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(case where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 62.2333px 8px; transform-origin: 62.2333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is an odd number). This \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 129.142px 8px; transform-origin: 129.142px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e vector will be sorted in ascending order : \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 52.3083px 8px; transform-origin: 52.3083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e1 \u0026lt; p1 \u0026lt; p2 \u0026lt; n. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.5px 8px; transform-origin: 10.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 43.5667px 8px; transform-origin: 43.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e n = 1 or n = 2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 112.808px 8px; transform-origin: 112.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e your algorithm should simply return \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 34.6167px 8px; transform-origin: 34.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 99.5667px 8px; transform-origin: 99.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(check the tests below for more)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 163.467px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 81.7333px; transform-origin: 392px 81.7333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 3 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 34.8px 8px; transform-origin: 34.8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e p = [1, 2] ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 7 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 34.8px 8px; transform-origin: 34.8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e p = [2, 5] ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.975px 8px; transform-origin: 21.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 17 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 46.4667px 8px; transform-origin: 46.4667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e p = [1, 3, 13] ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 71.1833px 8px; transform-origin: 71.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 20 =\u0026gt; p = [1; 19] ; \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 108.908px 8px; transform-origin: 108.908px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e% p1 may not be prime in this case\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.975px 8px; transform-origin: 21.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 23 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 46.4667px 8px; transform-origin: 46.4667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e p = [1, 3, 19] ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.975px 8px; transform-origin: 21.975px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 60 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 40.6333px 8px; transform-origin: 40.6333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e p = [1, 59] ; \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 108.908px 8px; transform-origin: 108.908px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e% p1 may not be prime in this case\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 1 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 22.3583px 8px; transform-origin: 22.3583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e p = 1 ;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003en = 2 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8.18333px 8px; transform-origin: 8.18333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\u0026gt;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 20.4167px 8px; transform-origin: 20.4167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e p = 2;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.2583px 8px; transform-origin: 14.2583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTips\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 42px; text-align: left; transform-origin: 385px 42px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 383.133px 8px; transform-origin: 383.133px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEven if maybe not unique, there is always a solution. If you find a case withouit, at least you will have proven the conjecture to be false ! A simple way to start is to begin with seeking \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 7.78333px 8px; transform-origin: 7.78333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep2\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.9px 8px; transform-origin: 80.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the greater prime before \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0667px 8px; transform-origin: 40.0667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (even when \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 69.5583px 8px; transform-origin: 69.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is prime itself. Then if the difference between \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 172.317px 8px; transform-origin: 172.317px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand this number is a prime number, you just have found\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.6083px 8px; transform-origin: 13.6083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e p1. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.175px 8px; transform-origin: 29.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eElse, add\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e 1\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 85.575px 8px; transform-origin: 85.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and it should complete the sum.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.6417px 8px; transform-origin: 67.6417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eForbidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.175px 8px; transform-origin: 15.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eecho\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40.8667px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 20.4333px; transform-origin: 392px 20.4333px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630/problems/60939\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 60939. Frequencies of prime gaps\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [p] = integer_as_primes_sum(n)\r\n\r\n p = n;\r\n \r\nend","test_suite":"%%\r\nn = 1;\r\np_correct = 1;\r\nassert(isequal(integer_as_primes_sum(n),p_correct))\r\n\r\n%%\r\nn = 2;\r\np_correct = 2;\r\nassert(isequal(integer_as_primes_sum(n),p_correct))\r\n\r\n%%\r\nn = 3;\r\np_correct = [1 2];\r\nassert(isequal(integer_as_primes_sum(n),p_correct))\r\n\r\n%%\r\nn = 4;\r\np = integer_as_primes_sum(n);\r\nassert(sum(p) == n \u0026 all(p \u003e 0) \u0026 isequal(floor(p),p) \u0026 numel(find(p == 1)) \u003c 2 \u0026 all(isprime(setdiff(p,1))))\r\n\r\n%%\r\nn = 5;\r\np = integer_as_primes_sum(n);\r\nassert(sum(p) == n \u0026 all(p \u003e 0) \u0026 isequal(floor(p),p) \u0026 numel(find(p == 1)) \u003c 2 \u0026 all(isprime(setdiff(p,1))))\r\n\r\n%%\r\nn = 7;\r\np = integer_as_primes_sum(n);\r\nassert(sum(p) == n \u0026 all(p \u003e 0) \u0026 isequal(floor(p),p) \u0026 numel(find(p == 1)) \u003c 2 \u0026 all(isprime(setdiff(p,1))))\r\n\r\n%%\r\nn = 17;\r\np = integer_as_primes_sum(n);\r\nassert(sum(p) == n \u0026 all(p \u003e 0) \u0026 isequal(floor(p),p) \u0026 numel(find(p == 1)) \u003c 2 \u0026 all(isprime(setdiff(p,1))))\r\n\r\n%%\r\nn = 23;\r\np = integer_as_primes_sum(n);\r\nassert(sum(p) == n \u0026 all(p \u003e 0) \u0026 isequal(floor(p),p) \u0026 numel(find(p == 1)) \u003c 2 \u0026 all(isprime(setdiff(p,1))))\r\n\r\n%%\r\nn = 37;\r\np = integer_as_primes_sum(n);\r\nassert(sum(p) == n \u0026 all(p \u003e 0) \u0026 isequal(floor(p),p) \u0026 numel(find(p == 1)) \u003c 2 \u0026 all(isprime(setdiff(p,1))))\r\n\r\n%%\r\nn = 47;\r\np = integer_as_primes_sum(n);\r\nassert(sum(p) == n \u0026 all(p \u003e 0) \u0026 isequal(floor(p),p) \u0026 numel(find(p == 1)) \u003c 2 \u0026 all(isprime(setdiff(p,1))))\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('integer_as_primes_sum.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":149128,"edited_by":149128,"edited_at":"2025-08-13T04:57:45.000Z","deleted_by":null,"deleted_at":null,"solvers_count":17,"test_suite_updated_at":"2025-08-13T04:57:45.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-28T06:09:43.000Z","updated_at":"2026-03-17T10:43:55.000Z","published_at":"2025-06-28T06:44:22.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA conjecture (I rediscovered ?) related to Goldbach's one states that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eevery integer above \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecan be written as the sum of at maximum two prime numbers and the number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e The goal of this problem is to check this decomposition. Given a positive integer n as an input, your algorithm will return a vector of two primes, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e[p1, p2],\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e plus potentially the number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1, [1, p1, p2], \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esuch that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eeither \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = p1 + p2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(case where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is an \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eeven\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e number) \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eor\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 1 + p1 + p2 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(case where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is an odd number). This \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e vector will be sorted in ascending order : \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1 \u0026lt; p1 \u0026lt; p2 \u0026lt; n. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eFor\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e n = 1 or n = 2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e your algorithm should simply return \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e(check the tests below for more)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 3 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p = [1, 2] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 7 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p = [2, 5] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 17 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p = [1, 3, 13] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 20 =\u0026gt; p = [1; 19] ; \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e% p1 may not be prime in this case\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 23 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p = [1, 3, 19] ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 60 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p = [1, 59] ; \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e% p1 may not be prime in this case\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 1 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p = 1 ;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 2 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e=\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p = 2;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTips\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eEven if maybe not unique, there is always a solution. If you find a case withouit, at least you will have proven the conjecture to be false ! A simple way to start is to begin with seeking \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, the greater prime before \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (even when \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is prime itself. Then if the difference between \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand this number is a prime number, you just have found\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e p1. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eElse, add\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and it should complete the sum.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eForbidden functions\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eregexp\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estr2num\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eassignin\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eecho\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSee also\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95630/problems/60939\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 60939. Frequencies of prime gaps\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://fr.mathworks.com/matlabcentral/cody/groups/95759\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime numbers properties II\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":60944,"title":"Ulam primes first formula","description":"Historical context\r\n\r\n\r\nThe polish-american mathematician Stanislaw Ulam found the formula to give the first 760 prime numbers not given by Euler's formula. \r\n\r\n\r\nProblem statement\r\n\r\nFor a given integer m, m \u003e= 1847, list the Ulam prime numbers less or equal to m in a vector up. Also compute their frequency / ratio f compare to all the primes in the same range. If m is not a positive integer greater or equal to 1847, your function should return up = [] and f = 0.\r\n\r\nExamples\r\n\r\nIf m = 1847 then up = 1847 and f = 1 since 1847 = P(0) and it is the only prime number m greater or equal and less or equal to 1847;\r\nIf m = 3000 then up = [1847, 2203, 2393, 2591, 2797] and f = 5/148 since 1847 = P(0), 2203 = P(2), 2393 = P(3), 2591 = P(4), 2797 = P(5), and there are in total 30 prime numbers in the range [1847; 3000] ; \r\nIf m = 1823 then up = [] and f = 0;\r\n\r\n\r\nTip \r\n\r\nn is less or equal to 2000 here.\r\n\r\n\r\nFobidden functions\r\n\r\nregexp\r\nassignin\r\nstr2num\r\n\r\n\r\nSee also\r\nUlam primes second formula\r\nEuler primes\r\nPrime numbers properties II","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 1069.47px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 534.733px; transform-origin: 408px 534.733px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58.725px 8px; transform-origin: 58.725px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHistorical context\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 219.4px 8px; transform-origin: 219.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe polish-american mathematician Stanislaw Ulam found the formula \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"170\" height=\"19.5\" style=\"width: 170px; height: 19.5px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63px 8px; transform-origin: 63px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to give the first 760 prime numbers not given by Euler's formula. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 60.2917px 8px; transform-origin: 60.2917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a given integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 6.225px 8px; transform-origin: 6.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 33.8583px 8px; transform-origin: 33.8583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em \u0026gt;= 1847\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 138.475px 8px; transform-origin: 138.475px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003elist the Ulam prime numbers less or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.0583px 8px; transform-origin: 40.0583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a vector u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ep\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63.7833px 8px; transform-origin: 63.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Also compute their frequency / ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ef \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 286.658px 8px; transform-origin: 286.658px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ecompare to all the primes in the same range. If m is not a positive integer greater or equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5667px 8px; transform-origin: 15.5667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1847\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eyour function should return\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 25.075px 8px; transform-origin: 25.075px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e up = [] \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 18.0833px 8px; transform-origin: 18.0833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e f = 0.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExamples\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 102.167px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 51.0833px; transform-origin: 392px 51.0833px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 29.7667px 8px; transform-origin: 29.7667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 1847\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 6.21667px 8px; transform-origin: 6.21667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 27.8167px 8px; transform-origin: 27.8167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = 1847\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.1417px 8px; transform-origin: 16.1417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 1 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 33.85px 8px; transform-origin: 33.85px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince 1847\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.2px 8px; transform-origin: 21.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e = P(0)\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 99.575px 8px; transform-origin: 99.575px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and it is the only prime number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.83333px 8px; transform-origin: 5.83333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003em\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 81.3px 8px; transform-origin: 81.3px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e greater or equal and less or equal to 1847\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 2.33333px 8px; transform-origin: 2.33333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 5.825px 8px; transform-origin: 5.825px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 29.7667px 8px; transform-origin: 29.7667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 3000\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 6.21667px 8px; transform-origin: 6.21667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 110.283px 8px; transform-origin: 110.283px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = [1847, 2203, 2393, 2591, 2797]\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 11.675px 8px; transform-origin: 11.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 29.7583px 8px; transform-origin: 29.7583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 5/148 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 18.2833px 8px; transform-origin: 18.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esince \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 121.95px 8px; transform-origin: 121.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e1847 = P(0), 2203 = P(2), 2393 = P(3), 2591 = P(4), 2797 = P(5), \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 73.9083px 8px; transform-origin: 73.9083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand there are in total 30\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 85.5833px 8px; transform-origin: 85.5833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eprime numbers in the range\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 46.6667px 8px; transform-origin: 46.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003e [1847; 3000] ; \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 31.7083px 8px; transform-origin: 31.7083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003em = 1823 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 19.45px 8px; transform-origin: 19.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen u\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 16.9167px 8px; transform-origin: 16.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ep = []\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 15.5583px 8px; transform-origin: 15.5583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 14.2px 8px; transform-origin: 14.2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; font-weight: 700; \"\u003ef = 0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.3667px 8px; transform-origin: 10.3667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eTip\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.89167px 8px; transform-origin: 3.89167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 91.8px 8px; transform-origin: 91.8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is less or equal to 2000 here.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 64.9167px 8px; transform-origin: 64.9167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFobidden functions\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 30.65px; transform-origin: 392px 30.65px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 21.4px 8px; transform-origin: 21.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eregexp\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.6833px 8px; transform-origin: 25.6833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eassignin\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 25.2833px 8px; transform-origin: 25.2833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003estr2num\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 8px; transform-origin: 28.3917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eSee also\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95630/problems/60943-ulam-primes-second-formula/\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eUlam primes second formula\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/problems/60942-euler-primes\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eEuler primes\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://fr.mathworks.com/matlabcentral/cody/groups/95759\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime numbers properties II\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [up,f] = ulam_primes1(m)\r\n up = m;\r\n f = 1;\r\nend","test_suite":"%%\r\nm = 1847;\r\nup_correct = 1847;\r\nf_correct = 1;\r\n[up,f] = ulam_primes1(m);\r\nassert(isequal([up,f],[up_correct,f_correct]));\r\n\r\n%%\r\nm = 3000;\r\nup_correct = [1847, 2203, 2393, 2591, 2797];\r\nf_correct = 5/148;\r\n[up,f] = ulam_primes1(m);\r\nassert(isequal([up,f],[up_correct,f_correct]));\r\n\r\n%%\r\nm = 1823;\r\nup_correct = [];\r\nf_correct = 0;\r\n[up,f] = ulam_primes1(m);\r\nassert(isequal([up,f],[up_correct,f_correct]));\r\n\r\n%% Forbidden functions\r\nfiletext = fileread('ulam_primes1.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'str2num') || contains(filetext, 'assignin') || contains(filetext, 'echo')\r\nassert(~illegal);","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":149128,"edited_by":149128,"edited_at":"2025-07-26T07:08:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":20,"test_suite_updated_at":"2025-07-09T05:56:57.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2025-06-26T19:59:43.000Z","updated_at":"2026-03-17T10:54:41.000Z","published_at":"2025-06-26T20:23:34.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHistorical context\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe polish-american mathematician Stanislaw Ulam found the formula \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\mathbf{P(n) = 4n^2 + 170n + 1847}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to give the first 760 prime numbers not given by Euler's formula. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em \u0026gt;= 1847\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003elist the Ulam prime numbers less or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e in a vector u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. Also compute their frequency / ratio \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ecompare to all the primes in the same range. If m is not a positive integer greater or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1847\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eyour function should return\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e up = [] \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e f = 0.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExamples\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 1847\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = 1847\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 1 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince 1847\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e = P(0)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and it is the only prime number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e greater or equal and less or equal to 1847\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 3000\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = [1847, 2203, 2393, 2591, 2797]\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 5/148 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003esince \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e1847 = P(0), 2203 = P(2), 2393 = P(3), 2591 = P(4), 2797 = P(5), \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand there are in total 30\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eprime numbers in the range\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e [1847; 3000] ; \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003em = 1823 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethen u\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ep = []\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ef = 0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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