{"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":166,"title":"Kaprekar numbers","description":"Test if the input is a Kaprekar number: \u003chttp://mathworld.wolfram.com/KaprekarNumber.html\u003e. Return a logical true or false.\r\n\r\n\r\n","description_html":"\u003cp\u003eTest if the input is a Kaprekar number: \u003ca href=\"http://mathworld.wolfram.com/KaprekarNumber.html\"\u003ehttp://mathworld.wolfram.com/KaprekarNumber.html\u003c/a\u003e. Return a logical true or false.\u003c/p\u003e","function_template":"function tf = kap(x)\r\n  tf = maybe;\r\nend","test_suite":"%%\r\nx = 16;\r\ntf_correct = false;\r\nassert(isequal(kap(x),tf_correct))\r\n\r\n%%\r\nx = 704;\r\ntf_correct = false;\r\nassert(isequal(kap(x),tf_correct))\r\n\r\n%%\r\nx = 9\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 45\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 55\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 99\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 297\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 703\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 999\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 2223\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 2728\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 4950\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 5050\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 7272\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 7777\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 9999\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 17344\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 22222\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 77778\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 82656\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 95121\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 99999\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 142857\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 148149\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 181819\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 187110\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 208495\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 318682\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 329967\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 351352\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 356643\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 390313\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 461539\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 466830\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 499500\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 500500\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 533170\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 538461\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 609687\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 643357\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 648648\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 670033\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 681318\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 681319\r\ntf_correct = false\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 681320\r\ntf_correct = false\r\nassert(isequal(kap(x),tf_correct))","published":true,"deleted":false,"likes_count":5,"comments_count":2,"created_by":39,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":295,"test_suite_updated_at":"2016-06-14T14:57:02.000Z","rescore_all_solutions":true,"group_id":8,"created_at":"2012-01-29T16:05:57.000Z","updated_at":"2026-04-09T15:11:28.000Z","published_at":"2012-01-29T16:05:57.000Z","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\u003eTest if the input is a Kaprekar number:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://mathworld.wolfram.com/KaprekarNumber.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttp://mathworld.wolfram.com/KaprekarNumber.html\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Return a logical true or false.\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\"}]}"},{"id":49778,"title":"Determine whether a number is a prime self number","description":"Integers can be classified as generated numbers or self numbers. A generated number is one that can be expressed as the sum of another number and its digit sum. For example, 15 can be written as 12+(1+2); in other words, 15’s generator is 12. A self number cannot be expressed in this way. \r\nWrite a function to determine whether a number is a prime self number. ","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: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 46.5px; transform-origin: 407px 46.5px; vertical-align: baseline; \"\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: pre-wrap; 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: 90.2417px 8.05px; transform-origin: 90.2417px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIntegers can be classified as \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: 31.5167px 8.05px; transform-origin: 31.5167px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003egenerated\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: 39.2833px 8.05px; transform-origin: 39.2833px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e numbers or \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: 12.8333px 8.05px; transform-origin: 12.8333px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eself \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: 209.267px 8.05px; transform-origin: 209.267px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003enumbers. A generated number is one that can be expressed as the sum of another number and its digit sum. For example, 15 can be written as 12+(1+2); in other words, 15’s generator is 12. A self number cannot be expressed in this way. \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: pre-wrap; 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: 162.458px 8.05px; transform-origin: 162.458px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine whether a number is a \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: 17.5083px 8.05px; transform-origin: 17.5083px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eprime\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: 42px 8.05px; transform-origin: 42px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e self number. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function tf = isPrimeSelf(n)\r\n  tf = false;\r\nend","test_suite":"%%\r\nassert(isPrimeSelf(5))\r\n\r\n%%\r\nassert(~isPrimeSelf(13))\r\n\r\n%%\r\nassert(~isPrimeSelf(19))\r\n\r\n%%\r\nassert(~isPrimeSelf(23))\r\n\r\n%%\r\nassert(isPrimeSelf(31))\r\n\r\n%%\r\nassert(isPrimeSelf(53))\r\n\r\n%%\r\nassert(~isPrimeSelf(75))\r\n\r\n%%\r\nassert(~isPrimeSelf(143))\r\n\r\n%%\r\nassert(isPrimeSelf(211))\r\n\r\n%%\r\nassert(isPrimeSelf(613))\r\n\r\n%%\r\nassert(~isPrimeSelf(1043))\r\n\r\n%%\r\nassert(isPrimeSelf(8623))\r\n\r\n%%\r\nassert(~isPrimeSelf(12719))\r\n\r\n%%\r\nassert(~isPrimeSelf(55601))\r\n\r\n%%\r\nassert(isPrimeSelf(93581))\r\n\r\n%%\r\nassert(~isPrimeSelf(98821))\r\n\r\n%%\r\nassert(isPrimeSelf(425233))\r\n\r\n%%\r\nassert(isPrimeSelf(515929))\r\n\r\n%%\r\nassert(~isPrimeSelf(611111))\r\n\r\n%%\r\nassert(isPrimeSelf(700319))\r\n\r\n%%\r\nassert(isPrimeSelf(888997))\r\n\r\n%%\r\nassert(~isPrimeSelf(919191))\r\n\r\n%%\r\nassert(isPrimeSelf(1048189))\r\n\r\n%%\r\nassert(isPrimeSelf(1330093))\r\n\r\n%%\r\nassert(~isPrimeSelf(1450061))\r\n\r\n%%\r\nassert(isPrimeSelf(1486711))\r\n\r\n%%\r\nn = [53039 53129 53173 53307 53353 53419 53421 53507 53509 53611 53623 53711 53773 53891 53959];\r\na = arrayfun(@isPrimeSelf,n);\r\nassert(isequal(sum(a),7) \u0026\u0026 isequal(prod(bin2dec(reshape(regexprep(num2str(a),' ',''),5,3))),240))\r\n\r\n%%\r\nfiletext = fileread('isPrimeSelf.m');\r\ncheating = contains(filetext, 'urlread') || contains(filetext, 'oeis'); \r\nassert(~cheating)\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":2,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":17,"test_suite_updated_at":"2021-08-28T18:43:42.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-01-05T15:16:27.000Z","updated_at":"2025-11-29T22:21:32.000Z","published_at":"2021-01-05T15:17:28.000Z","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\u003eIntegers can be classified as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003egenerated\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e numbers or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eself \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003enumbers. A generated number is one that can be expressed as the sum of another number and its digit sum. For example, 15 can be written as 12+(1+2); in other words, 15’s generator is 12. A self number cannot be expressed in this way. \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 to determine whether a number is a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eprime\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e self number. \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":166,"title":"Kaprekar numbers","description":"Test if the input is a Kaprekar number: \u003chttp://mathworld.wolfram.com/KaprekarNumber.html\u003e. Return a logical true or false.\r\n\r\n\r\n","description_html":"\u003cp\u003eTest if the input is a Kaprekar number: \u003ca href=\"http://mathworld.wolfram.com/KaprekarNumber.html\"\u003ehttp://mathworld.wolfram.com/KaprekarNumber.html\u003c/a\u003e. Return a logical true or false.\u003c/p\u003e","function_template":"function tf = kap(x)\r\n  tf = maybe;\r\nend","test_suite":"%%\r\nx = 16;\r\ntf_correct = false;\r\nassert(isequal(kap(x),tf_correct))\r\n\r\n%%\r\nx = 704;\r\ntf_correct = false;\r\nassert(isequal(kap(x),tf_correct))\r\n\r\n%%\r\nx = 9\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 45\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 55\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 99\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 297\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 703\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 999\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 2223\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 2728\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 4950\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 5050\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 7272\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 7777\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 9999\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 17344\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 22222\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 77778\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 82656\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 95121\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 99999\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 142857\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 148149\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 181819\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 187110\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 208495\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 318682\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 329967\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 351352\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 356643\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 390313\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 461539\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 466830\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 499500\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 500500\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 533170\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 538461\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 609687\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 643357\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 648648\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 670033\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 681318\r\ntf_correct = true\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 681319\r\ntf_correct = false\r\nassert(isequal(kap(x),tf_correct))\r\n%%\r\nx = 681320\r\ntf_correct = false\r\nassert(isequal(kap(x),tf_correct))","published":true,"deleted":false,"likes_count":5,"comments_count":2,"created_by":39,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":295,"test_suite_updated_at":"2016-06-14T14:57:02.000Z","rescore_all_solutions":true,"group_id":8,"created_at":"2012-01-29T16:05:57.000Z","updated_at":"2026-04-09T15:11:28.000Z","published_at":"2012-01-29T16:05:57.000Z","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\u003eTest if the input is a Kaprekar number:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://mathworld.wolfram.com/KaprekarNumber.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttp://mathworld.wolfram.com/KaprekarNumber.html\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Return a logical true or false.\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\"}]}"},{"id":49778,"title":"Determine whether a number is a prime self number","description":"Integers can be classified as generated numbers or self numbers. A generated number is one that can be expressed as the sum of another number and its digit sum. For example, 15 can be written as 12+(1+2); in other words, 15’s generator is 12. A self number cannot be expressed in this way. \r\nWrite a function to determine whether a number is a prime self number. ","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: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 46.5px; transform-origin: 407px 46.5px; vertical-align: baseline; \"\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: pre-wrap; 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: 90.2417px 8.05px; transform-origin: 90.2417px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIntegers can be classified as \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: 31.5167px 8.05px; transform-origin: 31.5167px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003egenerated\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: 39.2833px 8.05px; transform-origin: 39.2833px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e numbers or \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: 12.8333px 8.05px; transform-origin: 12.8333px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eself \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: 209.267px 8.05px; transform-origin: 209.267px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003enumbers. A generated number is one that can be expressed as the sum of another number and its digit sum. For example, 15 can be written as 12+(1+2); in other words, 15’s generator is 12. A self number cannot be expressed in this way. \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: pre-wrap; 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: 162.458px 8.05px; transform-origin: 162.458px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine whether a number is a \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: 17.5083px 8.05px; transform-origin: 17.5083px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003eprime\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: 42px 8.05px; transform-origin: 42px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e self number. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function tf = isPrimeSelf(n)\r\n  tf = false;\r\nend","test_suite":"%%\r\nassert(isPrimeSelf(5))\r\n\r\n%%\r\nassert(~isPrimeSelf(13))\r\n\r\n%%\r\nassert(~isPrimeSelf(19))\r\n\r\n%%\r\nassert(~isPrimeSelf(23))\r\n\r\n%%\r\nassert(isPrimeSelf(31))\r\n\r\n%%\r\nassert(isPrimeSelf(53))\r\n\r\n%%\r\nassert(~isPrimeSelf(75))\r\n\r\n%%\r\nassert(~isPrimeSelf(143))\r\n\r\n%%\r\nassert(isPrimeSelf(211))\r\n\r\n%%\r\nassert(isPrimeSelf(613))\r\n\r\n%%\r\nassert(~isPrimeSelf(1043))\r\n\r\n%%\r\nassert(isPrimeSelf(8623))\r\n\r\n%%\r\nassert(~isPrimeSelf(12719))\r\n\r\n%%\r\nassert(~isPrimeSelf(55601))\r\n\r\n%%\r\nassert(isPrimeSelf(93581))\r\n\r\n%%\r\nassert(~isPrimeSelf(98821))\r\n\r\n%%\r\nassert(isPrimeSelf(425233))\r\n\r\n%%\r\nassert(isPrimeSelf(515929))\r\n\r\n%%\r\nassert(~isPrimeSelf(611111))\r\n\r\n%%\r\nassert(isPrimeSelf(700319))\r\n\r\n%%\r\nassert(isPrimeSelf(888997))\r\n\r\n%%\r\nassert(~isPrimeSelf(919191))\r\n\r\n%%\r\nassert(isPrimeSelf(1048189))\r\n\r\n%%\r\nassert(isPrimeSelf(1330093))\r\n\r\n%%\r\nassert(~isPrimeSelf(1450061))\r\n\r\n%%\r\nassert(isPrimeSelf(1486711))\r\n\r\n%%\r\nn = [53039 53129 53173 53307 53353 53419 53421 53507 53509 53611 53623 53711 53773 53891 53959];\r\na = arrayfun(@isPrimeSelf,n);\r\nassert(isequal(sum(a),7) \u0026\u0026 isequal(prod(bin2dec(reshape(regexprep(num2str(a),' ',''),5,3))),240))\r\n\r\n%%\r\nfiletext = fileread('isPrimeSelf.m');\r\ncheating = contains(filetext, 'urlread') || contains(filetext, 'oeis'); \r\nassert(~cheating)\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":2,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":17,"test_suite_updated_at":"2021-08-28T18:43:42.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-01-05T15:16:27.000Z","updated_at":"2025-11-29T22:21:32.000Z","published_at":"2021-01-05T15:17:28.000Z","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\u003eIntegers can be classified as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003egenerated\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e numbers or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eself \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003enumbers. A generated number is one that can be expressed as the sum of another number and its digit sum. For example, 15 can be written as 12+(1+2); in other words, 15’s generator is 12. A self number cannot be expressed in this way. \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 to determine whether a number is a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eprime\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e self number. 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