{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-06-05T00:10:21.000Z","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":"2026-06-05T00:00:00.000Z","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":42875,"title":"Assignment Problem","description":"Given a matrix where row i corresponds to person i, and column j corresponds to task j and cell (i,j) corresponds to the time taken for person i to complete task j. Output an assignment array for the minimal time taken for all tasks.\r\n\r\nFor example, if presented with the following matrix:\r\n\r\n x = [1,3,4,7;  \r\n      2,3,1,3;\r\n      4,2,3,7;\r\n      6,4,2,2;]\r\n\r\nYour output array would be:\r\n\r\n a = [1,3,2,4].\r\n\r\nWhere person one is assigned to task one, person three is assigned to task two , person two is assigned to task three and person four is assigned to task four.\r\n\r\nThis gives us a total time of 1+1+2+2=6 which is minimal.","description_html":"\u003cp\u003eGiven a matrix where row i corresponds to person i, and column j corresponds to task j and cell (i,j) corresponds to the time taken for person i to complete task j. Output an assignment array for the minimal time taken for all tasks.\u003c/p\u003e\u003cp\u003eFor example, if presented with the following matrix:\u003c/p\u003e\u003cpre\u003e x = [1,3,4,7;  \r\n      2,3,1,3;\r\n      4,2,3,7;\r\n      6,4,2,2;]\u003c/pre\u003e\u003cp\u003eYour output array would be:\u003c/p\u003e\u003cpre\u003e a = [1,3,2,4].\u003c/pre\u003e\u003cp\u003eWhere person one is assigned to task one, person three is assigned to task two , person two is assigned to task three and person four is assigned to task four.\u003c/p\u003e\u003cp\u003eThis gives us a total time of 1+1+2+2=6 which is minimal.\u003c/p\u003e","function_template":"function y = Assignment(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [2,12,8,5; 4,4,5,12; 3,10,8,3; 12,0,1,2];\r\ny_correct1 = [1,2,4,3];\r\ny_correct2 = [1,4,2,3];\r\ntest1 = isequal(Assignment(x),y_correct1);\r\ntest2 = isequal(Assignment(x),y_correct2);\r\nassert(test1||test2)\r\n\r\n%%\r\nx = [7,5,3,2,6; 6,3,6,6,5; 3,3,9,4,7; 4,5,3,3,4; 2,3,4,3,5];\r\ny_correct = [5,3,4,1,2];\r\nassert(isequal(Assignment(x),y_correct))\r\n\r\n%%\r\nx = eye(4);\r\nx(x==0) = 3;\r\ny_correct = 1:4;\r\nassert(isequal(Assignment(x),y_correct))\r\n\r\n%%\r\nx = 5 * ones(5);\r\nx(1,4) = 1;\r\nx(2,2) = 1;\r\nx(3,5) = 1;\r\nx(4,1) = 1;\r\nx(5,3) = 1;\r\ny_correct = [4,2,5,1,3];\r\nassert(isequal(Assignment(x),y_correct))\r\n\r\n%%\r\nx = 1:4;\r\nx = [x; circshift(x,1); circshift(x,2); circshift(x,3)];\r\ny_correct = 1:4;\r\nassert(isequal(Assignment(x),y_correct))\r\n\r\n%%\r\nx = [7,5,4; 14,16,2; 7,1,9];\r\ny_correct = [1,3,2];\r\nassert(isequal(Assignment(x),y_correct))","published":true,"deleted":false,"likes_count":3,"comments_count":6,"created_by":64486,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":56,"test_suite_updated_at":"2018-07-30T13:18:15.000Z","rescore_all_solutions":false,"group_id":43,"created_at":"2016-06-02T23:08:15.000Z","updated_at":"2026-03-11T23:46:24.000Z","published_at":"2016-06-02T23:18:56.000Z","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\u003eGiven a matrix where row i corresponds to person i, and column j corresponds to task j and cell (i,j) corresponds to the time taken for person i to complete task j. Output an assignment array for the minimal time taken for all tasks.\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 example, if presented with the following matrix:\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[ x = [1,3,4,7;  \\n      2,3,1,3;\\n      4,2,3,7;\\n      6,4,2,2;]]]\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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour output array would 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[ a = [1,3,2,4].]]\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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhere person one is assigned to task one, person three is assigned to task two , person two is assigned to task three and person four is assigned to task four.\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\u003eThis gives us a total time of 1+1+2+2=6 which is minimal.\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\"}]}"}],"problem_search":{"problems":[{"id":42875,"title":"Assignment Problem","description":"Given a matrix where row i corresponds to person i, and column j corresponds to task j and cell (i,j) corresponds to the time taken for person i to complete task j. Output an assignment array for the minimal time taken for all tasks.\r\n\r\nFor example, if presented with the following matrix:\r\n\r\n x = [1,3,4,7;  \r\n      2,3,1,3;\r\n      4,2,3,7;\r\n      6,4,2,2;]\r\n\r\nYour output array would be:\r\n\r\n a = [1,3,2,4].\r\n\r\nWhere person one is assigned to task one, person three is assigned to task two , person two is assigned to task three and person four is assigned to task four.\r\n\r\nThis gives us a total time of 1+1+2+2=6 which is minimal.","description_html":"\u003cp\u003eGiven a matrix where row i corresponds to person i, and column j corresponds to task j and cell (i,j) corresponds to the time taken for person i to complete task j. Output an assignment array for the minimal time taken for all tasks.\u003c/p\u003e\u003cp\u003eFor example, if presented with the following matrix:\u003c/p\u003e\u003cpre\u003e x = [1,3,4,7;  \r\n      2,3,1,3;\r\n      4,2,3,7;\r\n      6,4,2,2;]\u003c/pre\u003e\u003cp\u003eYour output array would be:\u003c/p\u003e\u003cpre\u003e a = [1,3,2,4].\u003c/pre\u003e\u003cp\u003eWhere person one is assigned to task one, person three is assigned to task two , person two is assigned to task three and person four is assigned to task four.\u003c/p\u003e\u003cp\u003eThis gives us a total time of 1+1+2+2=6 which is minimal.\u003c/p\u003e","function_template":"function y = Assignment(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [2,12,8,5; 4,4,5,12; 3,10,8,3; 12,0,1,2];\r\ny_correct1 = [1,2,4,3];\r\ny_correct2 = [1,4,2,3];\r\ntest1 = isequal(Assignment(x),y_correct1);\r\ntest2 = isequal(Assignment(x),y_correct2);\r\nassert(test1||test2)\r\n\r\n%%\r\nx = [7,5,3,2,6; 6,3,6,6,5; 3,3,9,4,7; 4,5,3,3,4; 2,3,4,3,5];\r\ny_correct = [5,3,4,1,2];\r\nassert(isequal(Assignment(x),y_correct))\r\n\r\n%%\r\nx = eye(4);\r\nx(x==0) = 3;\r\ny_correct = 1:4;\r\nassert(isequal(Assignment(x),y_correct))\r\n\r\n%%\r\nx = 5 * ones(5);\r\nx(1,4) = 1;\r\nx(2,2) = 1;\r\nx(3,5) = 1;\r\nx(4,1) = 1;\r\nx(5,3) = 1;\r\ny_correct = [4,2,5,1,3];\r\nassert(isequal(Assignment(x),y_correct))\r\n\r\n%%\r\nx = 1:4;\r\nx = [x; circshift(x,1); circshift(x,2); circshift(x,3)];\r\ny_correct = 1:4;\r\nassert(isequal(Assignment(x),y_correct))\r\n\r\n%%\r\nx = [7,5,4; 14,16,2; 7,1,9];\r\ny_correct = [1,3,2];\r\nassert(isequal(Assignment(x),y_correct))","published":true,"deleted":false,"likes_count":3,"comments_count":6,"created_by":64486,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":56,"test_suite_updated_at":"2018-07-30T13:18:15.000Z","rescore_all_solutions":false,"group_id":43,"created_at":"2016-06-02T23:08:15.000Z","updated_at":"2026-03-11T23:46:24.000Z","published_at":"2016-06-02T23:18:56.000Z","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\u003eGiven a matrix where row i corresponds to person i, and column j corresponds to task j and cell (i,j) corresponds to the time taken for person i to complete task j. Output an assignment array for the minimal time taken for all tasks.\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 example, if presented with the following matrix:\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[ x = [1,3,4,7;  \\n      2,3,1,3;\\n      4,2,3,7;\\n      6,4,2,2;]]]\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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour output array would 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[ a = [1,3,2,4].]]\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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhere person one is assigned to task one, person three is assigned to task two , person two is assigned to task three and person four is assigned to task four.\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\u003eThis gives us a total time of 1+1+2+2=6 which is minimal.\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\"}]}"}],"errors":[],"facets":[[{"value":"Indexing V","count":1,"selected":false}],[{"value":"medium","count":1,"selected":false}]],"term":"tag:\"assignment\"","page":1,"per_page":50,"sort":"map(difficulty_value,0,0,999) asc"}}