{"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":60311,"title":"Travel a path","description":"In Cody Problem 60251, minnolina asks us to determine the end point given a string indicating unit movements forward, backward, left, and right. For example, ‘fflff’ brings the marker to the point (-1,4). \r\nThis problem extends that one by specifying a heading (H)—i.e., an angle in degrees measured clockwise from north, or the positive y-direction—and a distance (D) to move. The movement string corresponding to the example above would be ‘H0 D1 H0 D1 H270 D1 H0 D1 H0 D1’.\r\nWrite a function that determines the points, starting at an initial point with coordinates in x0y0, resulting from a movement string. The output should be an nx2 matrix with the x and y coordinates of the points in the columns.","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: 165px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 82.5px; transform-origin: 407px 82.5px; 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: 384px 21px; text-align: left; transform-origin: 384px 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: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/60251\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 60251\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: 298.35px 8px; transform-origin: 298.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, minnolina asks us to determine the end point given a string indicating unit movements forward, backward, left, and right. For example, ‘fflff’ brings the marker to the point (-1,4). \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: 384px 31.5px; text-align: left; transform-origin: 384px 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: 384px 8px; transform-origin: 384px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis problem extends that one by specifying a heading (H)—i.e., an angle in degrees measured clockwise from north, or the positive y-direction—and a distance (D) to move. The movement string corresponding to the example above would be ‘H0 D1 H0 D1 H270 D1 H0 D1 H0 D1’.\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: 384px 21px; text-align: left; transform-origin: 384px 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: 272.15px 8px; transform-origin: 272.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that determines the points, starting at an initial point with coordinates in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.4px 8px; transform-origin: 15.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ex0y0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 88.675px 8px; transform-origin: 88.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, resulting from a movement string. The output should be an nx2 matrix with the x and y coordinates of the points in the columns.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function xy = travelPath(s,x0y0)\r\n% s = movement string of the form 'Hx Dy...', which moves y units with heading x degrees\r\n% x0y0 = [x0 y0], starting point\r\n  xy = x0y0+[cos(s) sin(s)];\r\nend","test_suite":"%% \r\ns = 'H0 D1 H0 D1 H270 D1 H0 D1 H0 D1';\r\nx0y0 = [0,0];\r\nxy = travelPath(s,x0y0);\r\nxy_correct = [0 0; 0 1; 0 2; -1 2; -1 3; -1 4];\r\nassert(all(abs(xy-xy_correct)\u003c1e-12,'all'))\r\n\r\n%% \r\ns = 'H0 D1 H0 D1 H90 D1 H0 D1 H0 D1';\r\nx0y0 = [0,0];\r\nxy = travelPath(s,x0y0);\r\nxy_correct = [0 0; 0 1; 0 2; 1 2; 1 3; 1 4];\r\nassert(all(abs(xy-xy_correct)\u003c1e-12,'all'))\r\n\r\n%% \r\ns = 'H0 D1 H180 D1 H270 D1 H90 D1';\r\nx0y0 = [0,0];\r\nxy = travelPath(s,x0y0);\r\nxy_correct = [0 0; 0 1; 0 0; -1 0; 0 0];\r\nassert(all(abs(xy-xy_correct)\u003c1e-12,'all'))\r\n\r\n%% \r\ns = 'H45 D3 H315 D3 H225 D3 H135 D3';\r\nx0y0 = [1,5];\r\nxy = travelPath(s,x0y0);\r\nxy_correct = [1 5; 3.121320343559643 7.121320343559643; 1 9.242640687119286; -1.121320343559643 7.121320343559643; 1 5];\r\nassert(all(abs(xy-xy_correct)\u003c1e-12,'all'))\r\n\r\n%% \r\ns = 'H10 D5 H20 D4 H30 D3 H40 D2 H50 D1';\r\nx0y0 = [-1 -4];\r\nxy = travelPath(s,x0y0);\r\nxy_correct = [-1 -4; -0.131759111665348 0.924038765061040; 1.236321461637326 4.682809248204673; 2.736321461637326 7.280885459557989; 4.021896681010405 8.812974345795945; 4.787941124129383 9.455761955482485];\r\nassert(all(abs(xy-xy_correct)\u003c1e-12,'all'))\r\n\r\n%% \r\ns = 'H27 D5 H153 D5 H27 D4 H153 D4 H27 D3 H153 D3 H27 D2 H153 D2 H27 D1 H153 D1';\r\nx0y0 = [0 0];\r\nxy = travelPath(s,x0y0);\r\nxy_correct = [0 0; 2.269952498697734 4.455032620941839; 4.539904997395468 0; 6.355866996353655 3.564026096753472; 8.171828995311843 0; 9.533800494530484 2.673019572565104; 10.895771993749124 0; 11.803752993228217 1.782013048376736; 12.711733992707311 0; 13.165724492446857 0.891006524188368; 13.619714992186404 0];\r\nassert(all(abs(xy-xy_correct)\u003c1e-12,'all'))\r\n\r\n%%\r\nx0y0 = 6*rand(1,2);\r\nr = round(8*rand,2);\r\nn = 2+2*randi(5); \r\nth = 360/n;\r\ntheta = th*(0:n-1);\r\ns = '';\r\nfor k = 1:n\r\n    s = [s 'H' num2str(theta(k)) ' D' num2str(r) ' '];\r\nend\r\ns = s(1:end-1);\r\nxy = travelPath(s,x0y0);\r\nassert(all(abs(xy(1,:)-xy(end,:))\u003c1e-12))\r\naxis equal\r\nk = randi(n/2);\r\n[x1,y1,x2,y2] = deal(xy(k,1),xy(k,2),xy(k+n/2,1),xy(k+n/2,2));\r\nassert(abs(hypot(x1-x2,y1-y2)-r/cosd(90*(n-2)/n))\u003c1e-12)\r\n\r\n%%\r\nfiletext = fileread('travelPath.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":46909,"edited_by":46909,"edited_at":"2024-05-15T02:50:53.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2024-05-15T02:48:52.000Z","updated_at":"2024-05-15T02:50:53.000Z","published_at":"2024-05-15T02:50:53.000Z","restored_at":null,"restored_by":null,"spam":false,"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\u003eIn \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/60251\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 60251\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, minnolina asks us to determine the end point given a string indicating unit movements forward, backward, left, and right. For example, ‘fflff’ brings the marker to the point (-1,4). \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:t\u003eThis problem extends that one by specifying a heading (H)—i.e., an angle in degrees measured clockwise from north, or the positive y-direction—and a distance (D) to move. The movement string corresponding to the example above would be ‘H0 D1 H0 D1 H270 D1 H0 D1 H0 D1’.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\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 determines the points, starting at an initial point with coordinates in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ex0y0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, resulting from a movement string. The output should be an nx2 matrix with the x and y coordinates of the points in the columns.\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":{"errors":[],"problems":[{"id":60311,"title":"Travel a path","description":"In Cody Problem 60251, minnolina asks us to determine the end point given a string indicating unit movements forward, backward, left, and right. For example, ‘fflff’ brings the marker to the point (-1,4). \r\nThis problem extends that one by specifying a heading (H)—i.e., an angle in degrees measured clockwise from north, or the positive y-direction—and a distance (D) to move. The movement string corresponding to the example above would be ‘H0 D1 H0 D1 H270 D1 H0 D1 H0 D1’.\r\nWrite a function that determines the points, starting at an initial point with coordinates in x0y0, resulting from a movement string. The output should be an nx2 matrix with the x and y coordinates of the points in the columns.","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: 165px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 82.5px; transform-origin: 407px 82.5px; 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: 384px 21px; text-align: left; transform-origin: 384px 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: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/60251\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 60251\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: 298.35px 8px; transform-origin: 298.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, minnolina asks us to determine the end point given a string indicating unit movements forward, backward, left, and right. For example, ‘fflff’ brings the marker to the point (-1,4). \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: 384px 31.5px; text-align: left; transform-origin: 384px 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: 384px 8px; transform-origin: 384px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis problem extends that one by specifying a heading (H)—i.e., an angle in degrees measured clockwise from north, or the positive y-direction—and a distance (D) to move. The movement string corresponding to the example above would be ‘H0 D1 H0 D1 H270 D1 H0 D1 H0 D1’.\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: 384px 21px; text-align: left; transform-origin: 384px 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: 272.15px 8px; transform-origin: 272.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that determines the points, starting at an initial point with coordinates in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 15.4px 8px; transform-origin: 15.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003ex0y0\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 88.675px 8px; transform-origin: 88.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, resulting from a movement string. The output should be an nx2 matrix with the x and y coordinates of the points in the columns.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function xy = travelPath(s,x0y0)\r\n% s = movement string of the form 'Hx Dy...', which moves y units with heading x degrees\r\n% x0y0 = [x0 y0], starting point\r\n  xy = x0y0+[cos(s) sin(s)];\r\nend","test_suite":"%% \r\ns = 'H0 D1 H0 D1 H270 D1 H0 D1 H0 D1';\r\nx0y0 = [0,0];\r\nxy = travelPath(s,x0y0);\r\nxy_correct = [0 0; 0 1; 0 2; -1 2; -1 3; -1 4];\r\nassert(all(abs(xy-xy_correct)\u003c1e-12,'all'))\r\n\r\n%% \r\ns = 'H0 D1 H0 D1 H90 D1 H0 D1 H0 D1';\r\nx0y0 = [0,0];\r\nxy = travelPath(s,x0y0);\r\nxy_correct = [0 0; 0 1; 0 2; 1 2; 1 3; 1 4];\r\nassert(all(abs(xy-xy_correct)\u003c1e-12,'all'))\r\n\r\n%% \r\ns = 'H0 D1 H180 D1 H270 D1 H90 D1';\r\nx0y0 = [0,0];\r\nxy = travelPath(s,x0y0);\r\nxy_correct = [0 0; 0 1; 0 0; -1 0; 0 0];\r\nassert(all(abs(xy-xy_correct)\u003c1e-12,'all'))\r\n\r\n%% \r\ns = 'H45 D3 H315 D3 H225 D3 H135 D3';\r\nx0y0 = [1,5];\r\nxy = travelPath(s,x0y0);\r\nxy_correct = [1 5; 3.121320343559643 7.121320343559643; 1 9.242640687119286; -1.121320343559643 7.121320343559643; 1 5];\r\nassert(all(abs(xy-xy_correct)\u003c1e-12,'all'))\r\n\r\n%% \r\ns = 'H10 D5 H20 D4 H30 D3 H40 D2 H50 D1';\r\nx0y0 = [-1 -4];\r\nxy = travelPath(s,x0y0);\r\nxy_correct = [-1 -4; -0.131759111665348 0.924038765061040; 1.236321461637326 4.682809248204673; 2.736321461637326 7.280885459557989; 4.021896681010405 8.812974345795945; 4.787941124129383 9.455761955482485];\r\nassert(all(abs(xy-xy_correct)\u003c1e-12,'all'))\r\n\r\n%% \r\ns = 'H27 D5 H153 D5 H27 D4 H153 D4 H27 D3 H153 D3 H27 D2 H153 D2 H27 D1 H153 D1';\r\nx0y0 = [0 0];\r\nxy = travelPath(s,x0y0);\r\nxy_correct = [0 0; 2.269952498697734 4.455032620941839; 4.539904997395468 0; 6.355866996353655 3.564026096753472; 8.171828995311843 0; 9.533800494530484 2.673019572565104; 10.895771993749124 0; 11.803752993228217 1.782013048376736; 12.711733992707311 0; 13.165724492446857 0.891006524188368; 13.619714992186404 0];\r\nassert(all(abs(xy-xy_correct)\u003c1e-12,'all'))\r\n\r\n%%\r\nx0y0 = 6*rand(1,2);\r\nr = round(8*rand,2);\r\nn = 2+2*randi(5); \r\nth = 360/n;\r\ntheta = th*(0:n-1);\r\ns = '';\r\nfor k = 1:n\r\n    s = [s 'H' num2str(theta(k)) ' D' num2str(r) ' '];\r\nend\r\ns = s(1:end-1);\r\nxy = travelPath(s,x0y0);\r\nassert(all(abs(xy(1,:)-xy(end,:))\u003c1e-12))\r\naxis equal\r\nk = randi(n/2);\r\n[x1,y1,x2,y2] = deal(xy(k,1),xy(k,2),xy(k+n/2,1),xy(k+n/2,2));\r\nassert(abs(hypot(x1-x2,y1-y2)-r/cosd(90*(n-2)/n))\u003c1e-12)\r\n\r\n%%\r\nfiletext = fileread('travelPath.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":46909,"edited_by":46909,"edited_at":"2024-05-15T02:50:53.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2024-05-15T02:48:52.000Z","updated_at":"2024-05-15T02:50:53.000Z","published_at":"2024-05-15T02:50:53.000Z","restored_at":null,"restored_by":null,"spam":false,"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\u003eIn \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/60251\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 60251\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, minnolina asks us to determine the end point given a string indicating unit movements forward, backward, left, and right. For example, ‘fflff’ brings the marker to the point (-1,4). \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:t\u003eThis problem extends that one by specifying a heading (H)—i.e., an angle in degrees measured clockwise from north, or the positive y-direction—and a distance (D) to move. The movement string corresponding to the example above would be ‘H0 D1 H0 D1 H270 D1 H0 D1 H0 D1’.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\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 determines the points, starting at an initial point with coordinates in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ex0y0\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, resulting from a movement string. The output should be an nx2 matrix with the x and y coordinates of the points in the columns.\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\"}]}"}],"term":"tag:\"movement\"","current_player_id":null,"fields":[{"name":"page","type":"integer","callback":null,"default":1,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"per_page","type":"integer","callback":null,"default":50,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"sort","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"body","type":"text","callback":null,"default":"*:*","directive":null,"facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":false},{"name":"group","type":"string","callback":null,"default":null,"directive":"group","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"difficulty_rating_bin","type":"string","callback":null,"default":null,"directive":"difficulty_rating_bin","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"id","type":"integer","callback":null,"default":null,"directive":"id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"tag","type":"string","callback":null,"default":null,"directive":"tag","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"product","type":"string","callback":null,"default":null,"directive":"product","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_at","type":"timeframe","callback":{},"default":null,"directive":"created_at","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"profile_id","type":"integer","callback":null,"default":null,"directive":"author_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_by","type":"string","callback":null,"default":null,"directive":"author","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player_id","type":"integer","callback":null,"default":null,"directive":"solver_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player","type":"string","callback":null,"default":null,"directive":"solver","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"solvers_count","type":"integer","callback":null,"default":null,"directive":"solvers_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"comments_count","type":"integer","callback":null,"default":null,"directive":"comments_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"likes_count","type":"integer","callback":null,"default":null,"directive":"likes_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leader_id","type":"integer","callback":null,"default":null,"directive":"leader_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leading_solution","type":"integer","callback":null,"default":null,"directive":"leading_solution","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true}],"filters":[{"name":"asset_type","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":"\"cody:problem\"","prepend":true},{"name":"profile_id","type":"integer","callback":{},"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":"author_id","static":null,"prepend":true}],"query":{"params":{"per_page":50,"term":"tag:\"movement\"","current_player":null,"sort":"map(difficulty_value,0,0,999) 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