{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-16T00:12:35.000Z","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":"2026-04-16T00:00:00.000Z","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":60456,"title":"Compute a sum","description":"Write a function to compute the following sum\r\n\r\nAlthough a solution is available for general values of the coefficients, the coefficients are chosen so that a simpler form is possible. ","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: 126px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 63px; transform-origin: 407px 63px; 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: 141.067px 8px; transform-origin: 141.067px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the following sum\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: 384px 22.5px; text-align: left; transform-origin: 384px 22.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"123.5\" height=\"45\" alt=\"S = Sum[(an+b) u^n/(n*(n+m)*v^n),{n,1,Infinity}]\" style=\"width: 123.5px; height: 45px;\"\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: 375.108px 8px; transform-origin: 375.108px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAlthough a solution is available for general values of the coefficients, the coefficients are chosen so that a simpler form is possible. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = JPMsum1(a,b,m,u,v)\r\n  y = sum([v u m b a]);\r\nend","test_suite":"%%\r\na = 4;\r\nb = 9;\r\nm = 1; \r\nu = 5;\r\nv = 9;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 5;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\na = 7;\r\nb = 32;\r\nm = 2; \r\nu = 3;\r\nv = 4;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 16.5;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\na = 168;\r\nb = 1058;\r\nm = 2; \r\nu = 19;\r\nv = 23;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 617.5;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\na = 19;\r\nb = 81;\r\nm = 3; \r\nu = 2;\r\nv = 3;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 80/3;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\na = 547;\r\nb = 8232;\r\nm = 3; \r\nu = 13;\r\nv = 14;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 13390/3;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\na = 6095;\r\nb = 82944;\r\nm = 4; \r\nu = 11;\r\nv = 12;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 36704.25;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\na = 469711;\r\nb = 9447840;\r\nm = 5; \r\nu = 17;\r\nv = 18;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 3817735.9;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\na = 117585;\r\nb = 705894;\r\nm = 6; \r\nu = 2;\r\nv = 7;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 593732/15;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\nfiletext = fileread('JPMsum1.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext, 'switch') || contains(filetext, 'if'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":6,"created_by":46909,"edited_by":46909,"edited_at":"2024-06-09T16:09:49.000Z","deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":"2024-06-09T16:09:49.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2024-06-09T02:41:38.000Z","updated_at":"2026-02-01T07:00:29.000Z","published_at":"2024-06-09T02:41:38.000Z","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\u003eWrite a function to compute the following 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:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"S = Sum[(an+b) u^n/(n*(n+m)*v^n),{n,1,Infinity}]\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS = \\\\sum_{n = 1}^\\\\infty \\\\frac{an+b}{n(n+m)} \\\\frac{u^n}{v^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\u003eAlthough a solution is available for general values of the coefficients, the coefficients are chosen so that a simpler form is possible. \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":60401,"title":"Find primes and integers that solve an equation","description":"Write a function to find all primes  and non-negative integers  that solve the equation\r\n\r\nwhere  is an integer. If there are no solutions for a given value of , return p = [] and k = [].","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: 81px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 40.5px; transform-origin: 407px 40.5px; 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: 103.333px 8px; transform-origin: 103.333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to find all primes \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ep\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.8083px 8px; transform-origin: 84.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and non-negative integers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ek\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72.35px 8px; transform-origin: 72.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that solve the equation\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-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=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"79.5\" height=\"19\" alt=\"p! + ap = k^2\" style=\"width: 79.5px; 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: 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: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 179.692px 8px; transform-origin: 179.692px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is an integer. If there are no solutions for a given value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24.1083px 8px; transform-origin: 24.1083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, 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: 26.95px 8px; transform-origin: 26.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\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: 13.6167px 8px; transform-origin: 13.6167px 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: 23.1px 8px; transform-origin: 23.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\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: 1.94167px 8px; transform-origin: 1.94167px 8px; 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 [p,k] = Wilson(a)\r\n  p = primes(a); \r\n  k = randi(a);\r\nend","test_suite":"%%\r\na = 25;\r\n[p,k] = Wilson(a);\r\np_correct = 3;\r\nk_correct = 9;\r\nassert(isequal(p,p_correct) \u0026\u0026 isequal(k,k_correct))\r\n\r\n%%\r\na = -4;\r\n[p,k] = Wilson(a);\r\np_correct = 5;\r\nk_correct = 10;\r\nassert(isequal(p,p_correct) \u0026\u0026 isequal(k,k_correct))\r\n\r\n%%\r\na = 7;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 19;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 10;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 18;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 17;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 45;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 21;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^p)-'0');\r\ns_correct = 45;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 31;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 58;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 12;\r\n[p,k] = Wilson(a);\r\nassert(isempty(p) \u0026\u0026 isempty(k))\r\n\r\n%%\r\na = -20;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str(k^p)-'0');\r\ns_correct = 25;\r\nassert(isequal(s,s_correct))\r\n\r\n%% \r\nA = -[1 2 24];\r\nj = randi(3);\r\n[~,k] = Wilson(A(j));\r\nassert(~k)\r\n\r\n%%\r\na = -19;\r\n[p,k] = Wilson(a);\r\nassert(isequal(p,k))\r\n\r\n%%\r\na = 22;\r\n[p,k] = Wilson(a);\r\nassert(isempty(p) \u0026\u0026 isempty(k))\r\n\r\n%%\r\nfiletext = fileread('Wilson.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":46909,"edited_by":46909,"edited_at":"2024-05-25T05:11:46.000Z","deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2024-05-25T05:11:40.000Z","updated_at":"2026-02-02T04:13:20.000Z","published_at":"2024-05-25T05:11:48.000Z","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\u003eWrite a function to find all primes \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"p\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and non-negative integers \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"k\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e that solve the equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"p! + ap = k^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep! + ap = k^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\u003ewhere \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is an integer. If there are no solutions for a given value of \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, return \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\u003ep = [] \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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek = []\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\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":60456,"title":"Compute a sum","description":"Write a function to compute the following sum\r\n\r\nAlthough a solution is available for general values of the coefficients, the coefficients are chosen so that a simpler form is possible. ","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: 126px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 63px; transform-origin: 407px 63px; 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: 141.067px 8px; transform-origin: 141.067px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the following sum\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: 384px 22.5px; text-align: left; transform-origin: 384px 22.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"123.5\" height=\"45\" alt=\"S = Sum[(an+b) u^n/(n*(n+m)*v^n),{n,1,Infinity}]\" style=\"width: 123.5px; height: 45px;\"\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: 375.108px 8px; transform-origin: 375.108px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAlthough a solution is available for general values of the coefficients, the coefficients are chosen so that a simpler form is possible. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = JPMsum1(a,b,m,u,v)\r\n  y = sum([v u m b a]);\r\nend","test_suite":"%%\r\na = 4;\r\nb = 9;\r\nm = 1; \r\nu = 5;\r\nv = 9;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 5;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\na = 7;\r\nb = 32;\r\nm = 2; \r\nu = 3;\r\nv = 4;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 16.5;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\na = 168;\r\nb = 1058;\r\nm = 2; \r\nu = 19;\r\nv = 23;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 617.5;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\na = 19;\r\nb = 81;\r\nm = 3; \r\nu = 2;\r\nv = 3;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 80/3;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\na = 547;\r\nb = 8232;\r\nm = 3; \r\nu = 13;\r\nv = 14;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 13390/3;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\na = 6095;\r\nb = 82944;\r\nm = 4; \r\nu = 11;\r\nv = 12;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 36704.25;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\na = 469711;\r\nb = 9447840;\r\nm = 5; \r\nu = 17;\r\nv = 18;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 3817735.9;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\na = 117585;\r\nb = 705894;\r\nm = 6; \r\nu = 2;\r\nv = 7;\r\nS = JPMsum1(a,b,m,u,v);\r\nS_correct = 593732/15;\r\nassert(abs(S-S_correct)/S_correct \u003c 1e-12)\r\n\r\n%%\r\nfiletext = fileread('JPMsum1.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext, 'switch') || contains(filetext, 'if'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":6,"created_by":46909,"edited_by":46909,"edited_at":"2024-06-09T16:09:49.000Z","deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":"2024-06-09T16:09:49.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2024-06-09T02:41:38.000Z","updated_at":"2026-02-01T07:00:29.000Z","published_at":"2024-06-09T02:41:38.000Z","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\u003eWrite a function to compute the following 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:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"S = Sum[(an+b) u^n/(n*(n+m)*v^n),{n,1,Infinity}]\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS = \\\\sum_{n = 1}^\\\\infty \\\\frac{an+b}{n(n+m)} \\\\frac{u^n}{v^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\u003eAlthough a solution is available for general values of the coefficients, the coefficients are chosen so that a simpler form is possible. \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":60401,"title":"Find primes and integers that solve an equation","description":"Write a function to find all primes  and non-negative integers  that solve the equation\r\n\r\nwhere  is an integer. If there are no solutions for a given value of , return p = [] and k = [].","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: 81px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 40.5px; transform-origin: 407px 40.5px; 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: 103.333px 8px; transform-origin: 103.333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to find all primes \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ep\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.8083px 8px; transform-origin: 84.8083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and non-negative integers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ek\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72.35px 8px; transform-origin: 72.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that solve the equation\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-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=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"79.5\" height=\"19\" alt=\"p! + ap = k^2\" style=\"width: 79.5px; 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: 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: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 179.692px 8px; transform-origin: 179.692px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is an integer. If there are no solutions for a given value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24.1083px 8px; transform-origin: 24.1083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, 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: 26.95px 8px; transform-origin: 26.95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\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: 13.6167px 8px; transform-origin: 13.6167px 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: 23.1px 8px; transform-origin: 23.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\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: 1.94167px 8px; transform-origin: 1.94167px 8px; 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 [p,k] = Wilson(a)\r\n  p = primes(a); \r\n  k = randi(a);\r\nend","test_suite":"%%\r\na = 25;\r\n[p,k] = Wilson(a);\r\np_correct = 3;\r\nk_correct = 9;\r\nassert(isequal(p,p_correct) \u0026\u0026 isequal(k,k_correct))\r\n\r\n%%\r\na = -4;\r\n[p,k] = Wilson(a);\r\np_correct = 5;\r\nk_correct = 10;\r\nassert(isequal(p,p_correct) \u0026\u0026 isequal(k,k_correct))\r\n\r\n%%\r\na = 7;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 19;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 10;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 18;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 17;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 45;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 21;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^p)-'0');\r\ns_correct = 45;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 31;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str((k*p)^k)-'0');\r\ns_correct = 58;\r\nassert(isequal(s,s_correct))\r\n\r\n%%\r\na = 12;\r\n[p,k] = Wilson(a);\r\nassert(isempty(p) \u0026\u0026 isempty(k))\r\n\r\n%%\r\na = -20;\r\n[p,k] = Wilson(a);\r\ns = sum(num2str(k^p)-'0');\r\ns_correct = 25;\r\nassert(isequal(s,s_correct))\r\n\r\n%% \r\nA = -[1 2 24];\r\nj = randi(3);\r\n[~,k] = Wilson(A(j));\r\nassert(~k)\r\n\r\n%%\r\na = -19;\r\n[p,k] = Wilson(a);\r\nassert(isequal(p,k))\r\n\r\n%%\r\na = 22;\r\n[p,k] = Wilson(a);\r\nassert(isempty(p) \u0026\u0026 isempty(k))\r\n\r\n%%\r\nfiletext = fileread('Wilson.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":1,"created_by":46909,"edited_by":46909,"edited_at":"2024-05-25T05:11:46.000Z","deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2024-05-25T05:11:40.000Z","updated_at":"2026-02-02T04:13:20.000Z","published_at":"2024-05-25T05:11:48.000Z","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\u003eWrite a function to find all primes \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"p\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and non-negative integers \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"k\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e that solve the equation\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"p! + ap = k^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep! + ap = k^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\u003ewhere \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is an integer. If there are no solutions for a given value of \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, return \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\u003ep = [] \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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ek = []\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\"}]}"}],"term":"tag:\"j pi maths\"","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:\"j pi maths\"","current_player":null,"sort":"map(difficulty_value,0,0,999) asc"},"parser":"MathWorks::Search::Solr::QueryParser","directives":{"term":{"directives":{"tag":[["tag:\"j pi maths\"","","\"","j pi maths","\""]]}}},"facets":{"#\u003cMathWorks::Search::Field:0x00007f17e0350468\u003e":null,"#\u003cMathWorks::Search::Field:0x00007f17e03503c8\u003e":null},"filters":{"#\u003cMathWorks::Search::Field:0x00007f17e036fac0\u003e":"\"cody:problem\""},"fields":{"#\u003cMathWorks::Search::Field:0x00007f17e0350828\u003e":1,"#\u003cMathWorks::Search::Field:0x00007f17e0350788\u003e":50,"#\u003cMathWorks::Search::Field:0x00007f17e03506e8\u003e":"map(difficulty_value,0,0,999) asc","#\u003cMathWorks::Search::Field:0x00007f17e0350508\u003e":"tag:\"j pi maths\""},"user_query":{"#\u003cMathWorks::Search::Field:0x00007f17e0350508\u003e":"tag:\"j pi maths\""},"queried_facets":{}},"query_backend":{"connection":{"configuration":{"index_url":"http://index-op-v2/solr/","query_url":"http://search-op-v2/solr/","direct_access_index_urls":["http://index-op-v2/solr/"],"direct_access_query_urls":["http://search-op-v2/solr/"],"timeout":10,"vhost":"search","exchange":"search.topic","heartbeat":30,"pre_index_mode":false,"host":"rabbitmq-eks","port":5672,"username":"cody-search","password":"78X075ddcV44","virtual_host":"search","indexer":"amqp","http_logging":"true","core":"cody"},"query_connection":{"uri":"http://search-op-v2/solr/cody/","proxy":null,"connection":{"parallel_manager":null,"headers":{"User-Agent":"Faraday v1.0.1"},"params":{},"options":{"params_encoder":"Faraday::FlatParamsEncoder","proxy":null,"bind":null,"timeout":null,"open_timeout":null,"read_timeout":null,"write_timeout":null,"boundary":null,"oauth":null,"context":null,"on_data":null},"ssl":{"verify":true,"ca_file":null,"ca_path":null,"verify_mode":null,"cert_store":null,"client_cert":null,"client_key":null,"certificate":null,"private_key":null,"verify_depth":null,"version":null,"min_version":null,"max_version":null},"default_parallel_manager":null,"builder":{"adapter":{"name":"Faraday::Adapter::NetHttp","args":[],"block":null},"handlers":[{"name":"Faraday::Response::RaiseError","args":[],"block":null}],"app":{"app":{"ssl_cert_store":{"verify_callback":null,"error":null,"error_string":null,"chain":null,"time":null},"app":{},"connection_options":{},"config_block":null}}},"url_prefix":"http://search-op-v2/solr/cody/","manual_proxy":false,"proxy":null},"update_format":"RSolr::JSON::Generator","update_path":"update","options":{"url":"http://search-op-v2/solr/cody"}}},"query":{"params":{"per_page":50,"term":"tag:\"j pi maths\"","current_player":null,"sort":"map(difficulty_value,0,0,999) asc"},"parser":"MathWorks::Search::Solr::QueryParser","directives":{"term":{"directives":{"tag":[["tag:\"j pi maths\"","","\"","j pi maths","\""]]}}},"facets":{"#\u003cMathWorks::Search::Field:0x00007f17e0350468\u003e":null,"#\u003cMathWorks::Search::Field:0x00007f17e03503c8\u003e":null},"filters":{"#\u003cMathWorks::Search::Field:0x00007f17e036fac0\u003e":"\"cody:problem\""},"fields":{"#\u003cMathWorks::Search::Field:0x00007f17e0350828\u003e":1,"#\u003cMathWorks::Search::Field:0x00007f17e0350788\u003e":50,"#\u003cMathWorks::Search::Field:0x00007f17e03506e8\u003e":"map(difficulty_value,0,0,999) asc","#\u003cMathWorks::Search::Field:0x00007f17e0350508\u003e":"tag:\"j pi maths\""},"user_query":{"#\u003cMathWorks::Search::Field:0x00007f17e0350508\u003e":"tag:\"j pi maths\""},"queried_facets":{}},"options":{"fields":["id","difficulty_rating"]},"join":" "},"results":[{"id":60456,"difficulty_rating":"medium"},{"id":60401,"difficulty_rating":"medium"}]}}