{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-05-26T00:16:20.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-05-26T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":45194,"title":"Cantor counting","description":"Find the nth cantor's rational number. the sequence is given below in the link.\r\nSequence: 1/1,1/2,2/1,3/1,2/2,1/3,1/4... ... ...\r\nfor n=5, out=[2,2].\r\n\r\n\u003chttps://www.google.com/search?q=george+cantor+rational+numbers\u0026sxsrf=ACYBGNRVSQwqht5aNwdOW_gz4u5v5be2Bg:1572821754264\u0026source=lnms\u0026tbm=isch\u0026sa=X\u0026ved=0ahUKEwjpydTPkc_lAhUG8HMBHcyRA5cQ_AUIEigB\u0026biw=1340\u0026bih=722#imgrc=ERbtWs-JE4EhRM:\u003e","description_html":"\u003cp\u003eFind the nth cantor's rational number. the sequence is given below in the link.\r\nSequence: 1/1,1/2,2/1,3/1,2/2,1/3,1/4... ... ...\r\nfor n=5, out=[2,2].\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://www.google.com/search?q=george+cantor+rational+numbers\u0026sxsrf=ACYBGNRVSQwqht5aNwdOW_gz4u5v5be2Bg:1572821754264\u0026source=lnms\u0026tbm=isch\u0026sa=X\u0026ved=0ahUKEwjpydTPkc_lAhUG8HMBHcyRA5cQ_AUIEigB\u0026biw=1340\u0026bih=722#imgrc=ERbtWs-JE4EhRM:\"\u003ehttps://www.google.com/search?q=george+cantor+rational+numbers\u0026sxsrf=ACYBGNRVSQwqht5aNwdOW_gz4u5v5be2Bg:1572821754264\u0026source=lnms\u0026tbm=isch\u0026sa=X\u0026ved=0ahUKEwjpydTPkc_lAhUG8HMBHcyRA5cQ_AUIEigB\u0026biw=1340\u0026bih=722#imgrc=ERbtWs-JE4EhRM:\u003c/a\u003e\u003c/p\u003e","function_template":"function y = cantor(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = [1,1];\r\nassert(isequal(cantor(x),y_correct))\r\n%%\r\nx = 3;\r\ny_correct = [2,1];\r\nassert(isequal(cantor(x),y_correct))\r\n%%\r\nx = 7;\r\ny_correct = [1,4];\r\nassert(isequal(cantor(x),y_correct))\r\n%%\r\nx = 12;\r\ny_correct = [4,2];\r\nassert(isequal(cantor(x),y_correct))\r\n%%\r\nx = 29;\r\ny_correct = [1,8];\r\nassert(isequal(cantor(x),y_correct))\r\n%%\r\nx = 100;\r\ny_correct = [9,6];\r\nassert(isequal(cantor(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":39,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2019-11-04T05:54:55.000Z","updated_at":"2026-05-24T15:10:24.000Z","published_at":"2019-11-04T05:55:48.000Z","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\u003eFind the nth cantor's rational number. the sequence is given below in the link. Sequence: 1/1,1/2,2/1,3/1,2/2,1/3,1/4... ... ... for n=5, out=[2,2].\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:hyperlink w:docLocation=\\\"https://www.google.com/search?q=george+cantor+rational+numbers\u0026amp;sxsrf=ACYBGNRVSQwqht5aNwdOW_gz4u5v5be2Bg:1572821754264\u0026amp;source=lnms\u0026amp;tbm=isch\u0026amp;sa=X\u0026amp;ved=0ahUKEwjpydTPkc_lAhUG8HMBHcyRA5cQ_AUIEigB\u0026amp;biw=1340\u0026amp;bih=722#imgrc=ERbtWs-JE4EhRM:\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;https://www.google.com/search?q=george+cantor+rational+numbers\u0026amp;sxsrf=ACYBGNRVSQwqht5aNwdOW_gz4u5v5be2Bg:1572821754264\u0026amp;source=lnms\u0026amp;tbm=isch\u0026amp;sa=X\u0026amp;ved=0ahUKEwjpydTPkc_lAhUG8HMBHcyRA5cQ_AUIEigB\u0026amp;biw=1340\u0026amp;bih=722#imgrc=ERbtWs-JE4EhRM\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e:\u0026gt;\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":45194,"title":"Cantor counting","description":"Find the nth cantor's rational number. the sequence is given below in the link.\r\nSequence: 1/1,1/2,2/1,3/1,2/2,1/3,1/4... ... ...\r\nfor n=5, out=[2,2].\r\n\r\n\u003chttps://www.google.com/search?q=george+cantor+rational+numbers\u0026sxsrf=ACYBGNRVSQwqht5aNwdOW_gz4u5v5be2Bg:1572821754264\u0026source=lnms\u0026tbm=isch\u0026sa=X\u0026ved=0ahUKEwjpydTPkc_lAhUG8HMBHcyRA5cQ_AUIEigB\u0026biw=1340\u0026bih=722#imgrc=ERbtWs-JE4EhRM:\u003e","description_html":"\u003cp\u003eFind the nth cantor's rational number. the sequence is given below in the link.\r\nSequence: 1/1,1/2,2/1,3/1,2/2,1/3,1/4... ... ...\r\nfor n=5, out=[2,2].\u003c/p\u003e\u003cp\u003e\u003ca href = \"https://www.google.com/search?q=george+cantor+rational+numbers\u0026sxsrf=ACYBGNRVSQwqht5aNwdOW_gz4u5v5be2Bg:1572821754264\u0026source=lnms\u0026tbm=isch\u0026sa=X\u0026ved=0ahUKEwjpydTPkc_lAhUG8HMBHcyRA5cQ_AUIEigB\u0026biw=1340\u0026bih=722#imgrc=ERbtWs-JE4EhRM:\"\u003ehttps://www.google.com/search?q=george+cantor+rational+numbers\u0026sxsrf=ACYBGNRVSQwqht5aNwdOW_gz4u5v5be2Bg:1572821754264\u0026source=lnms\u0026tbm=isch\u0026sa=X\u0026ved=0ahUKEwjpydTPkc_lAhUG8HMBHcyRA5cQ_AUIEigB\u0026biw=1340\u0026bih=722#imgrc=ERbtWs-JE4EhRM:\u003c/a\u003e\u003c/p\u003e","function_template":"function y = cantor(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = [1,1];\r\nassert(isequal(cantor(x),y_correct))\r\n%%\r\nx = 3;\r\ny_correct = [2,1];\r\nassert(isequal(cantor(x),y_correct))\r\n%%\r\nx = 7;\r\ny_correct = [1,4];\r\nassert(isequal(cantor(x),y_correct))\r\n%%\r\nx = 12;\r\ny_correct = [4,2];\r\nassert(isequal(cantor(x),y_correct))\r\n%%\r\nx = 29;\r\ny_correct = [1,8];\r\nassert(isequal(cantor(x),y_correct))\r\n%%\r\nx = 100;\r\ny_correct = [9,6];\r\nassert(isequal(cantor(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":39,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2019-11-04T05:54:55.000Z","updated_at":"2026-05-24T15:10:24.000Z","published_at":"2019-11-04T05:55:48.000Z","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\u003eFind the nth cantor's rational number. the sequence is given below in the link. 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