{"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":1981,"title":"Time and Variable mapping and matching","description":"There is a 6X5 cell array where\r\n\r\n* 1st column represents time values\r\n* 2nd and 3rd column represent variables and their values respectively\r\n* 4th and 5rd column represent variables and their values respectively\r\n\r\nNote that same variable can be used in columns 2 and 4, but not in same rows\r\nSample cell array is shown below:\r\n\r\n X = \r\n {'0','a','1', '', '';\r\n  '1','b','2', '', '';\r\n  '2', '', '','c','3';\r\n  '3', '', '','d','4';\r\n  '4','e','1','' , '';\r\n  '5', '', '','d','6'};\r\n\r\nOutput should be variables with name of variables used in array along with Time variable (1st column). Default Values of these variables (a,b,c,d,e) will be 0 at time = 0 (except if it is explicitly set eg: a=1 at time=0). Variables will continue to hold the set values except when they are explicitly set. Output of above example will be 1-D column vectors of time, a, b, c, d, e with following values:\r\n\r\n Time\ta\tb\tc\td\te\r\n 0\t1\t0\t0\t0\t0\r\n 1\t1\t2\t0\t0\t0\r\n 2\t1\t2\t3\t0\t0\r\n 3\t1\t2\t3\t4\t0\r\n 4\t1\t2\t3\t4\t1\r\n 5\t1\t2\t3\t6\t1\r\n","description_html":"\u003cp\u003eThere is a 6X5 cell array where\u003c/p\u003e\u003cul\u003e\u003cli\u003e1st column represents time values\u003c/li\u003e\u003cli\u003e2nd and 3rd column represent variables and their values respectively\u003c/li\u003e\u003cli\u003e4th and 5rd column represent variables and their values respectively\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eNote that same variable can be used in columns 2 and 4, but not in same rows\r\nSample cell array is shown below:\u003c/p\u003e\u003cpre\u003e X = \r\n {'0','a','1', '', '';\r\n  '1','b','2', '', '';\r\n  '2', '', '','c','3';\r\n  '3', '', '','d','4';\r\n  '4','e','1','' , '';\r\n  '5', '', '','d','6'};\u003c/pre\u003e\u003cp\u003eOutput should be variables with name of variables used in array along with Time variable (1st column). Default Values of these variables (a,b,c,d,e) will be 0 at time = 0 (except if it is explicitly set eg: a=1 at time=0). Variables will continue to hold the set values except when they are explicitly set. Output of above example will be 1-D column vectors of time, a, b, c, d, e with following values:\u003c/p\u003e\u003cpre\u003e Time\ta\tb\tc\td\te\r\n 0\t1\t0\t0\t0\t0\r\n 1\t1\t2\t0\t0\t0\r\n 2\t1\t2\t3\t0\t0\r\n 3\t1\t2\t3\t4\t0\r\n 4\t1\t2\t3\t4\t1\r\n 5\t1\t2\t3\t6\t1\u003c/pre\u003e","function_template":"function [Time,a,b,c,d,e] = your_fcn_name(X)\r\n  Time = x;\r\na= x;\r\nb = x;\r\nc = x;\r\nd = x;\r\ne = x;\r\nend","test_suite":"%%\r\nX={'0','a','1','', '';\r\n'1','b','2','', '';\r\n'2','',\t'','c', '3';\r\n'3','',\t'','d', '4';\r\n'4','e','1','', '';\r\n'5','',\t'','d', '6'};\r\nTime=[0;1;2;3;4;5];\r\na=[1;1;1;1;1;1];\r\nb=[0;2;2;2;2;2];\r\nc=[0;0;3;3;3;3];\r\nd=[0;0;0;4;4;6];\r\ne=[0;0;0;0;1;1];\r\ny_correct=[Time;a;b;c;d;e];\r\n[Time,a,b,c,d,e]=your_fcn_name(X); \r\nassert(isequal([Time;a;b;c;d;e],y_correct));\r\n%%\r\nX={'0','a','1','', '';\r\n'1','a','2','b', '1';\r\n'2','',\t'','c', '3';\r\n'3','c','4','d', '4';\r\n'4','b','4','', '';\r\n'5','',\t'','e', '6'};\r\nTime=[0;1;2;3;4;5];\r\na=[1;2;2;2;2;2];\r\nb=[0;1;1;1;4;4];\r\nc=[0;0;3;4;4;4];\r\nd=[0;0;0;4;4;4];\r\ne=[0;0;0;0;0;6];\r\ny_correct=[Time;a;b;c;d;e];\r\n[Time,a,b,c,d,e]=your_fcn_name(X); \r\nassert(isequal([Time;a;b;c;d;e],y_correct));","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":10792,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":"2013-11-12T06:20:19.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-11-11T21:24:39.000Z","updated_at":"2026-03-11T13:47:03.000Z","published_at":"2013-11-11T21:30:51.000Z","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\u003eThere is a 6X5 cell array where\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1st column represents time values\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e2nd and 3rd column represent variables and their values respectively\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e4th and 5rd column represent variables and their values respectively\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\u003eNote that same variable can be used in columns 2 and 4, but not in same rows Sample cell array is shown below:\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 = \\n {'0','a','1', '', '';\\n  '1','b','2', '', '';\\n  '2', '', '','c','3';\\n  '3', '', '','d','4';\\n  '4','e','1','' , '';\\n  '5', '', '','d','6'};]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput should be variables with name of variables used in array along with Time variable (1st column). Default Values of these variables (a,b,c,d,e) will be 0 at time = 0 (except if it is explicitly set eg: a=1 at time=0). Variables will continue to hold the set values except when they are explicitly set. Output of above example will be 1-D column vectors of time, a, b, c, d, e with following values:\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[ Time  a  b  c  d  e\\n 0  1  0  0  0  0\\n 1  1  2  0  0  0\\n 2  1  2  3  0  0\\n 3  1  2  3  4  0\\n 4  1  2  3  4  1\\n 5  1  2  3  6  1]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":1981,"title":"Time and Variable mapping and matching","description":"There is a 6X5 cell array where\r\n\r\n* 1st column represents time values\r\n* 2nd and 3rd column represent variables and their values respectively\r\n* 4th and 5rd column represent variables and their values respectively\r\n\r\nNote that same variable can be used in columns 2 and 4, but not in same rows\r\nSample cell array is shown below:\r\n\r\n X = \r\n {'0','a','1', '', '';\r\n  '1','b','2', '', '';\r\n  '2', '', '','c','3';\r\n  '3', '', '','d','4';\r\n  '4','e','1','' , '';\r\n  '5', '', '','d','6'};\r\n\r\nOutput should be variables with name of variables used in array along with Time variable (1st column). Default Values of these variables (a,b,c,d,e) will be 0 at time = 0 (except if it is explicitly set eg: a=1 at time=0). Variables will continue to hold the set values except when they are explicitly set. Output of above example will be 1-D column vectors of time, a, b, c, d, e with following values:\r\n\r\n Time\ta\tb\tc\td\te\r\n 0\t1\t0\t0\t0\t0\r\n 1\t1\t2\t0\t0\t0\r\n 2\t1\t2\t3\t0\t0\r\n 3\t1\t2\t3\t4\t0\r\n 4\t1\t2\t3\t4\t1\r\n 5\t1\t2\t3\t6\t1\r\n","description_html":"\u003cp\u003eThere is a 6X5 cell array where\u003c/p\u003e\u003cul\u003e\u003cli\u003e1st column represents time values\u003c/li\u003e\u003cli\u003e2nd and 3rd column represent variables and their values respectively\u003c/li\u003e\u003cli\u003e4th and 5rd column represent variables and their values respectively\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eNote that same variable can be used in columns 2 and 4, but not in same rows\r\nSample cell array is shown below:\u003c/p\u003e\u003cpre\u003e X = \r\n {'0','a','1', '', '';\r\n  '1','b','2', '', '';\r\n  '2', '', '','c','3';\r\n  '3', '', '','d','4';\r\n  '4','e','1','' , '';\r\n  '5', '', '','d','6'};\u003c/pre\u003e\u003cp\u003eOutput should be variables with name of variables used in array along with Time variable (1st column). Default Values of these variables (a,b,c,d,e) will be 0 at time = 0 (except if it is explicitly set eg: a=1 at time=0). Variables will continue to hold the set values except when they are explicitly set. Output of above example will be 1-D column vectors of time, a, b, c, d, e with following values:\u003c/p\u003e\u003cpre\u003e Time\ta\tb\tc\td\te\r\n 0\t1\t0\t0\t0\t0\r\n 1\t1\t2\t0\t0\t0\r\n 2\t1\t2\t3\t0\t0\r\n 3\t1\t2\t3\t4\t0\r\n 4\t1\t2\t3\t4\t1\r\n 5\t1\t2\t3\t6\t1\u003c/pre\u003e","function_template":"function [Time,a,b,c,d,e] = your_fcn_name(X)\r\n  Time = x;\r\na= x;\r\nb = x;\r\nc = x;\r\nd = x;\r\ne = x;\r\nend","test_suite":"%%\r\nX={'0','a','1','', '';\r\n'1','b','2','', '';\r\n'2','',\t'','c', '3';\r\n'3','',\t'','d', '4';\r\n'4','e','1','', '';\r\n'5','',\t'','d', '6'};\r\nTime=[0;1;2;3;4;5];\r\na=[1;1;1;1;1;1];\r\nb=[0;2;2;2;2;2];\r\nc=[0;0;3;3;3;3];\r\nd=[0;0;0;4;4;6];\r\ne=[0;0;0;0;1;1];\r\ny_correct=[Time;a;b;c;d;e];\r\n[Time,a,b,c,d,e]=your_fcn_name(X); \r\nassert(isequal([Time;a;b;c;d;e],y_correct));\r\n%%\r\nX={'0','a','1','', '';\r\n'1','a','2','b', '1';\r\n'2','',\t'','c', '3';\r\n'3','c','4','d', '4';\r\n'4','b','4','', '';\r\n'5','',\t'','e', '6'};\r\nTime=[0;1;2;3;4;5];\r\na=[1;2;2;2;2;2];\r\nb=[0;1;1;1;4;4];\r\nc=[0;0;3;4;4;4];\r\nd=[0;0;0;4;4;4];\r\ne=[0;0;0;0;0;6];\r\ny_correct=[Time;a;b;c;d;e];\r\n[Time,a,b,c,d,e]=your_fcn_name(X); \r\nassert(isequal([Time;a;b;c;d;e],y_correct));","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":10792,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":"2013-11-12T06:20:19.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-11-11T21:24:39.000Z","updated_at":"2026-03-11T13:47:03.000Z","published_at":"2013-11-11T21:30:51.000Z","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\u003eThere is a 6X5 cell array where\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1st column represents time values\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e2nd and 3rd column represent variables and their values respectively\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e4th and 5rd column represent variables and their values respectively\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\u003eNote that same variable can be used in columns 2 and 4, but not in same rows Sample cell array is shown below:\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 = \\n {'0','a','1', '', '';\\n  '1','b','2', '', '';\\n  '2', '', '','c','3';\\n  '3', '', '','d','4';\\n  '4','e','1','' , '';\\n  '5', '', '','d','6'};]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOutput should be variables with name of variables used in array along with Time variable (1st column). Default Values of these variables (a,b,c,d,e) will be 0 at time = 0 (except if it is explicitly set eg: a=1 at time=0). Variables will continue to hold the set values except when they are explicitly set. Output of above example will be 1-D column vectors of time, a, b, c, d, e with following values:\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[ Time  a  b  c  d  e\\n 0  1  0  0  0  0\\n 1  1  2  0  0  0\\n 2  1  2  3  0  0\\n 3  1  2  3  4  0\\n 4  1  2  3  4  1\\n 5  1  2  3  6  1]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray 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