{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-05-26T00:16:20.000Z","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":"2026-05-26T00:00:00.000Z","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":60997,"title":"Multiply real numbers to get the smallest integers","description":"Write a function that takes a vector of real numbers and multiplies them by a factor to produce the integers with the smallest absolute value. 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For example, if the input vector is [3/4 5/6 7/10], the output should be [45 50 42]; that is, the input vector should be multiplied by 60.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = integerize(x)\r\n  y = ceil(x);\r\nend","test_suite":"%%\r\nx = [3/4 5/6 7/10];\r\ny = integerize(x);\r\ny_correct = [45 50 42];\r\nassert(isequal(y,y_correct))\r\n\r\n%%\r\nx = [1.5 8.9 6.35 7.125];\r\ny = integerize(x);\r\ny_correct = [60 356 254 285];\r\nassert(isequal(y,y_correct))\r\n\r\n%%\r\nx = randi(80,[1 14])-40;\r\ny = integerize(x);\r\ny_correct = x;\r\nassert(isequal(y,y_correct))\r\n\r\n%%\r\nx = [4/5 -8/7 15/12 -13/49 83/56];\r\ny = integerize(x);\r\ny_correct = [1568 -2240 2450 -520 2905];\r\nassert(isequal(y,y_correct))\r\n\r\n%%\r\nm = randi(6);\r\np = primes(100);\r\nk = randperm(length(p),2*m);\r\nn = p(k(1:m));\r\nd = p(k(m+1:end));\r\nf = prod(d);\r\nx = n./d;\r\ny = integerize(x);\r\ny_correct = x*f;\r\nassert(isequal(y,y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2025-09-08T01:51:47.000Z","deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-09-08T01:51:22.000Z","updated_at":"2026-04-27T07:52:43.000Z","published_at":"2025-09-08T01:51:47.000Z","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\u003eWrite a function that takes a vector of real numbers and multiplies them by a factor to produce the integers with the smallest absolute value. For example, if the input vector is [3/4 5/6 7/10], the output should be [45 50 42]; that is, the input vector should be multiplied by 60.\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\"}]}"}],"problem_search":{"problems":[{"id":60997,"title":"Multiply real numbers to get the smallest integers","description":"Write a function that takes a vector of real numbers and multiplies them by a factor to produce the integers with the smallest absolute value. For example, if the input vector is [3/4 5/6 7/10], the output should be [45 50 42]; that is, the input vector should be multiplied by 60.","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: 63px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 31.5px; transform-origin: 408px 31.5px; 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: 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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes a vector of real numbers and multiplies them by a factor to produce the integers with the smallest absolute value. For example, if the input vector is [3/4 5/6 7/10], the output should be [45 50 42]; that is, the input vector should be multiplied by 60.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = integerize(x)\r\n  y = ceil(x);\r\nend","test_suite":"%%\r\nx = [3/4 5/6 7/10];\r\ny = integerize(x);\r\ny_correct = [45 50 42];\r\nassert(isequal(y,y_correct))\r\n\r\n%%\r\nx = [1.5 8.9 6.35 7.125];\r\ny = integerize(x);\r\ny_correct = [60 356 254 285];\r\nassert(isequal(y,y_correct))\r\n\r\n%%\r\nx = randi(80,[1 14])-40;\r\ny = integerize(x);\r\ny_correct = x;\r\nassert(isequal(y,y_correct))\r\n\r\n%%\r\nx = [4/5 -8/7 15/12 -13/49 83/56];\r\ny = integerize(x);\r\ny_correct = [1568 -2240 2450 -520 2905];\r\nassert(isequal(y,y_correct))\r\n\r\n%%\r\nm = randi(6);\r\np = primes(100);\r\nk = randperm(length(p),2*m);\r\nn = p(k(1:m));\r\nd = p(k(m+1:end));\r\nf = prod(d);\r\nx = n./d;\r\ny = integerize(x);\r\ny_correct = x*f;\r\nassert(isequal(y,y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2025-09-08T01:51:47.000Z","deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-09-08T01:51:22.000Z","updated_at":"2026-04-27T07:52:43.000Z","published_at":"2025-09-08T01:51:47.000Z","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\u003eWrite a function that takes a vector of real numbers and multiplies them by a factor to produce the integers with the smallest absolute value. 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