{"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":1323,"title":"Alternating sum","description":"Given vector x, calculate the alternating sum\r\n\r\n   y = x(1) - x(2) + x(3) - x(4) + ...","description_html":"\u003cp\u003eGiven vector x, calculate the alternating sum\u003c/p\u003e\u003cpre\u003e   y = x(1) - x(2) + x(3) - x(4) + ...\u003c/pre\u003e","function_template":"function y=altsum(x)\r\ny=0;\r\n","test_suite":"%%\r\nx=508;\r\nassert(isequal(altsum(x),508))\r\n%%\r\nx=[1692 591];\r\nassert(isequal(altsum(x),1101))\r\n%%\r\nx=[-644 380 1009];\r\nassert(isequal(altsum(x),-15))\r\n%%\r\nx=[-20 -48 0 -318];\r\nassert(isequal(altsum(x),346))\r\n%%\r\nx=[1095 -1874 428 896 731 578 40];\r\nassert(isequal(altsum(x),2694))","published":true,"deleted":false,"likes_count":8,"comments_count":0,"created_by":245,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":841,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":27,"created_at":"2013-03-07T20:03:18.000Z","updated_at":"2026-04-07T19:13:52.000Z","published_at":"2013-03-07T20:11:39.000Z","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 vector x, calculate the alternating sum\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[   y = x(1) - x(2) + x(3) - x(4) + ...]]\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\"}]}"},{"id":566,"title":"Sum of first n terms of a harmonic progression","description":"Given inputs a, d and n, return the sum of the first n terms of the harmonic progression a, a/(1+d), a/(1+2d), a/(1+3d),....","description_html":"\u003cdiv style = \"text-align: start; line-height: 20px; 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: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"display: block; min-width: 0px; padding-top: 0px; transform-origin: 332px 21px; vertical-align: baseline; perspective-origin: 332px 21px; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 21px; white-space: pre-wrap; perspective-origin: 309px 21px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven inputs a, d and n, return the sum of the first n terms of the harmonic progression a, a/(1+d), a/(1+2d), a/(1+3d),....\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = harmonicSum(a,d,n)\r\n  s=0;\r\nend","test_suite":"%%\r\na=1;d=1;n=1;\r\ny_correct = 1;\r\nassert(isequal(harmonicSum(a,d,n),y_correct));\r\n\r\n%%\r\na=2;d=2;n=5;\r\ny_correct = round(3.5746,4);\r\nassert(isequal(round(harmonicSum(a,d,n),4),y_correct));\r\n\r\n%%\r\na=4;d=5;n=2;\r\ny_correct = round(4.6667,4);\r\nassert(isequal(round(harmonicSum(a,d,n),4),y_correct));","published":true,"deleted":false,"likes_count":3,"comments_count":14,"created_by":2974,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":503,"test_suite_updated_at":"2020-09-29T02:43:20.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2012-04-08T16:38:19.000Z","updated_at":"2026-04-17T12:47:13.000Z","published_at":"2012-04-08T18:58:53.000Z","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\u003eGiven inputs a, d and n, return the sum of the first n terms of the harmonic progression a, a/(1+d), a/(1+2d), a/(1+3d),....\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":189,"title":"Sum all integers from 1 to 2^n","description":"Given the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.","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: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"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: 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: 342.5px 8px; transform-origin: 342.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = sum_int(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nfiletext = fileread('sum_int.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp');\r\nassert(~illegal)\r\n%%\r\nx = 1;\r\ny_correct = 3;\r\nassert(isequal(sum_int(x),y_correct))\r\n\r\n%%\r\nx = 3;\r\ny_correct = 36;\r\nassert(isequal(sum_int(x),y_correct))\r\n\r\n%%\r\nx = 7;\r\ny_correct = 8256;\r\nassert(isequal(sum_int(x),y_correct))\r\n\r\n%%\r\nx = 10;\r\ny_correct = 524800;\r\nassert(isequal(sum_int(x),y_correct))\r\n\r\n%%\r\nx = 11;\r\ny_correct = 2098176;\r\nassert(isequal(sum_int(x),y_correct))\r\n\r\n%%\r\nx = 14;\r\ny_correct = 134225920;\r\nassert(isequal(sum_int(x),y_correct))\r\n\r\n%%\r\nx = 17;\r\ny_correct = 8590000128;\r\nassert(isequal(sum_int(x),y_correct))","published":true,"deleted":false,"likes_count":94,"comments_count":24,"created_by":431,"edited_by":223089,"edited_at":"2022-11-24T08:12:49.000Z","deleted_by":null,"deleted_at":null,"solvers_count":17559,"test_suite_updated_at":"2022-11-24T08:12:49.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2012-01-31T00:43:21.000Z","updated_at":"2026-04-21T03:41:12.000Z","published_at":"2012-01-31T00:45:23.000Z","restored_at":null,"restored_by":null,"spam":null,"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\u003eGiven the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.\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":240,"title":"Project Euler: Problem 6, Natural numbers, squares and sums.","description":"The sum of the squares of the first ten natural numbers is,\r\n\r\n1^2 + 2^2 + ... + 10^2 = 385\r\nThe square of the sum of the first ten natural numbers is,\r\n\r\n(1 + 2 + ... + 10)^2 = 55^2 = 3025\r\nHence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 - 385 = 2640.\r\n\r\nFind the difference between the sum of the squares of the first N (where N is the input) natural numbers and the square of the sum.\r\n\r\nThank you to \u003chttp://projecteuler.net/problem=6 Project Euler Problem 6\u003e","description_html":"\u003cp\u003eThe sum of the squares of the first ten natural numbers is,\u003c/p\u003e\u003cp\u003e1^2 + 2^2 + ... + 10^2 = 385\r\nThe square of the sum of the first ten natural numbers is,\u003c/p\u003e\u003cp\u003e(1 + 2 + ... + 10)^2 = 55^2 = 3025\r\nHence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 - 385 = 2640.\u003c/p\u003e\u003cp\u003eFind the difference between the sum of the squares of the first N (where N is the input) natural numbers and the square of the sum.\u003c/p\u003e\u003cp\u003eThank you to \u003ca href=\"http://projecteuler.net/problem=6\"\u003eProject Euler Problem 6\u003c/a\u003e\u003c/p\u003e","function_template":"function y = euler006(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 10;\r\ny_correct = 2640;\r\nassert(isequal(euler006(x),y_correct))\r\n\r\n%%\r\nx = 20;\r\ny_correct = 41230;\r\nassert(isequal(euler006(x),y_correct))\r\n\r\n%%\r\nx = 200;\r\ny_correct = 401323300;\r\nassert(isequal(euler006(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":12,"comments_count":3,"created_by":240,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":2543,"test_suite_updated_at":"2012-02-02T20:31:39.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2012-02-02T20:31:39.000Z","updated_at":"2026-04-16T01:54:35.000Z","published_at":"2012-02-02T20:32:49.000Z","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\u003eThe sum of the squares of the first ten natural numbers is,\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\u003e1^2 + 2^2 + ... + 10^2 = 385 The square of the sum of the first ten natural numbers is,\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\u003e(1 + 2 + ... + 10)^2 = 55^2 = 3025 Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 - 385 = 2640.\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\u003eFind the difference between the sum of the squares of the first N (where N is the input) natural numbers and the square of the 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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThank you to\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://projecteuler.net/problem=6\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProject Euler Problem 6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\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":1084,"title":"Square Digits Number Chain Terminal Value (Inspired by Project Euler Problem 92)","description":"Given a number _n_, return the terminal value of the number chain formed by summing the square of the digits. According to the Project Euler problem, this number chain always terminates with either 1 or 89.\r\n\r\nProject Euler Problem 92: \u003chttp://projecteuler.net/problem=92 Link\u003e","description_html":"\u003cp\u003eGiven a number \u003ci\u003en\u003c/i\u003e, return the terminal value of the number chain formed by summing the square of the digits. According to the Project Euler problem, this number chain always terminates with either 1 or 89.\u003c/p\u003e\u003cp\u003eProject Euler Problem 92: \u003ca href=\"http://projecteuler.net/problem=92\"\u003eLink\u003c/a\u003e\u003c/p\u003e","function_template":"function y = digits_squared_chain(x)\r\n  y = 1;\r\nend","test_suite":"%%\r\nassert(digits_squared_chain(649) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(79) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(608) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(487) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(739) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(565) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(68) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(383) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(379) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(203) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(632) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(391) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(863) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(13) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(100) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(236) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(293) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(230) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(31) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(806) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(623) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(7) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(13) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(836) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(954) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(567) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(388) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(789) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(246) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(787) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(311) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(856) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(143) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(873) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(215) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(995) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(455) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(948) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(875) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(788) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(722) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(250) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(227) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(640) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(835) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(965) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(726) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(689) == 89)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":134,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":257,"test_suite_updated_at":"2012-12-05T06:42:14.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2012-12-03T06:49:33.000Z","updated_at":"2026-04-17T12:49:34.000Z","published_at":"2012-12-05T06:42:14.000Z","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 number\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, return the terminal value of the number chain formed by summing the square of the digits. According to the Project Euler problem, this number chain always terminates with either 1 or 89.\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\u003eProject Euler Problem 92:\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://projecteuler.net/problem=92\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eLink\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\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":434,"title":"Return the Fibonacci Sequence","description":"Write a code which returns the Fibonacci Sequence such that the largest value in the sequence is less than the input integer N.  For example, \r\n\r\n\r\n  \u003e\u003e fib_seq(34)\r\n\r\n  ans =\r\n\r\n       1  1  2  3  5  8  13  21\r\n\r\n  \u003e\u003e fib_seq(35)\r\n\r\n  ans =\r\n\r\n       1  1  2  3  5  8  13  21  34","description_html":"\u003cp\u003eWrite a code which returns the Fibonacci Sequence such that the largest value in the sequence is less than the input integer N.  For example,\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e\u003e\u003e fib_seq(34)\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003eans =\r\n\u003c/pre\u003e\u003cpre\u003e       1  1  2  3  5  8  13  21\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003e\u003e\u003e fib_seq(35)\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003eans =\r\n\u003c/pre\u003e\u003cpre\u003e       1  1  2  3  5  8  13  21  34\u003c/pre\u003e","function_template":"function y = fib_seq(N)\r\n  y = x;\r\nend","test_suite":"%%\r\nX = fib_seq(34);\r\nassert(isequal(X(end),21) \u0026\u0026 length(X)==8)\r\n%%\r\nX = fib_seq(35);\r\nassert(isequal(X(end),34) \u0026\u0026 length(X)==9)\r\n%%\r\nX = fib_seq(145);\r\nassert(isequal(X(end),144) \u0026\u0026 length(X)==12)\r\n%%\r\nX = fib_seq(4196);\r\nassert(isequal(X(end),4181) \u0026\u0026 length(X)==19)\r\n%%\r\nX = fib_seq(987419996);\r\nassert(isequal(X(end),701408733) \u0026\u0026 length(X)==44)\r\n%%\r\nX = fib_seq(1134903171);\r\nassert(isequal(X(end),1134903170) \u0026\u0026 length(X)==45)\r\n%%\r\nX = fib_seq(98691443031971);\r\nassert(isequal(X(end),72723460248141) \u0026\u0026 length(X)==68)","published":true,"deleted":false,"likes_count":10,"comments_count":2,"created_by":459,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1510,"test_suite_updated_at":"2017-05-23T15:28:28.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2012-03-02T01:07:27.000Z","updated_at":"2026-04-20T16:15:15.000Z","published_at":"2012-03-02T01:12:20.000Z","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\u003eWrite a code which returns the Fibonacci Sequence such that the largest value in the sequence is less than the input integer N. For example,\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[\u003e\u003e fib_seq(34)\\n\\nans =\\n\\n       1  1  2  3  5  8  13  21\\n\\n\u003e\u003e fib_seq(35)\\n\\nans =\\n\\n       1  1  2  3  5  8  13  21  34]]\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\"}]}"},{"id":594,"title":"\"Look and say\" sequence","description":"What's the next number in this sequence?\r\n\r\n* [0]\r\n* [1 0]\r\n* [1 1 1 0]\r\n* [3 1 1 0]\r\n* [1 3 2 1 1 0]\r\n\r\nThis a variant on the well-known \u003chttp://en.wikipedia.org/wiki/Look-and-say_sequence \"look and say\" or  Morris sequence\u003e, where each new iteration is made up by 'saying' the number of numbers you see. That last line is \"one 3; then two 1s; then one 0\".\r\n\r\nCreate a function that returns the next element of this sequence, given a vector as a starting seed..","description_html":"\u003cp\u003eWhat's the next number in this sequence?\u003c/p\u003e\u003cul\u003e\u003cli\u003e[0]\u003c/li\u003e\u003cli\u003e[1 0]\u003c/li\u003e\u003cli\u003e[1 1 1 0]\u003c/li\u003e\u003cli\u003e[3 1 1 0]\u003c/li\u003e\u003cli\u003e[1 3 2 1 1 0]\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eThis a variant on the well-known \u003ca href = \"http://en.wikipedia.org/wiki/Look-and-say_sequence\"\u003e\"look and say\" or  Morris sequence\u003c/a\u003e, where each new iteration is made up by 'saying' the number of numbers you see. That last line is \"one 3; then two 1s; then one 0\".\u003c/p\u003e\u003cp\u003eCreate a function that returns the next element of this sequence, given a vector as a starting seed..\u003c/p\u003e","function_template":"function NEXT = look_and_say(SEED)\r\n  NEXT = SEED;\r\nend","test_suite":"%%\r\nassert(isequal(look_and_say([1]),[1 1]))\r\n%%\r\nassert(isequal(look_and_say([1 1 1 1 1]),[5 1]))\r\n%%\r\nassert(isequal(look_and_say([1 3 3 1 5 2 2]),[1 1 2 3 1 1 1 5 2 2]))\r\n%%\r\nassert(isequal(look_and_say([8 6 7 5 3 0 9]),[1 8 1 6 1 7 1 5 1 3 1 0 1 9]))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":4,"created_by":78,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":239,"test_suite_updated_at":"2012-04-17T19:20:53.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-04-17T15:20:45.000Z","updated_at":"2026-04-16T02:00:18.000Z","published_at":"2012-04-17T15:21:34.000Z","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\u003eWhat's the next number in this sequence?\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\u003e[0]\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\u003e[1 0]\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\u003e[1 1 1 0]\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\u003e[3 1 1 0]\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\u003e[1 3 2 1 1 0]\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 a variant on the well-known\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://en.wikipedia.org/wiki/Look-and-say_sequence\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\\\"look and say\\\" or Morris sequence\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, where each new iteration is made up by 'saying' the number of numbers you see. That last line is \\\"one 3; then two 1s; then one 0\\\".\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\u003eCreate a function that returns the next element of this sequence, given a vector as a starting seed..\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":1190,"title":"Golomb's self-describing sequence (based on Euler 341)","description":"The Golomb's self-describing sequence {G(n)} is the only nondecreasing sequence of natural numbers such that n appears exactly G(n) times in the sequence. The values of G(n) for the first few n are\r\n\r\n* |n =\u0026nbsp;    1    2    3\t4\t5\t6\t7\t8\t9\t10\t11\t12\t13\t14\t15\t…|\r\n* |G(n) 1    2\t2\t3\t3\t4\t4\t4\t5\t5\t\u0026nbsp;5\t\u0026nbsp;6\t\u0026nbsp;6\t\u0026nbsp;6\t\u0026nbsp;6\t\u0026nbsp;…|\r\n\r\nWrite a MATLAB script that will give you G(n) when given n.\r\n\r\nEfficiency is key here, since some of the values in the test suite will take a while to calculate.","description_html":"\u003cp\u003eThe Golomb's self-describing sequence {G(n)} is the only nondecreasing sequence of natural numbers such that n appears exactly G(n) times in the sequence. The values of G(n) for the first few n are\u003c/p\u003e\u003cul\u003e\u003cli\u003e\u003ctt\u003en =\u0026nbsp;    1    2    3\t4\t5\t6\t7\t8\t9\t10\t11\t12\t13\t14\t15\t…\u003c/tt\u003e\u003c/li\u003e\u003cli\u003e\u003ctt\u003eG(n) 1    2\t2\t3\t3\t4\t4\t4\t5\t5\t\u0026nbsp;5\t\u0026nbsp;6\t\u0026nbsp;6\t\u0026nbsp;6\t\u0026nbsp;6\t\u0026nbsp;…\u003c/tt\u003e\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eWrite a MATLAB script that will give you G(n) when given n.\u003c/p\u003e\u003cp\u003eEfficiency is key here, since some of the values in the test suite will take a while to calculate.\u003c/p\u003e","function_template":"function y = euler341(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(euler341(1),1))\r\n%%\r\nassert(isequal(euler341(10),5))\r\n%%\r\nassert(isequal(euler341(310),42))\r\n%%\r\nassert(isequal(euler341(4242),210))\r\n%%\r\nassert(isequal(euler341(328509),3084))\r\n%%\r\nassert(isequal(euler341(551368),4247))\r\n%%\r\nassert(isequal(euler341(614125),4540))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":1615,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":184,"test_suite_updated_at":"2013-10-01T17:43:23.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2013-01-09T15:55:47.000Z","updated_at":"2026-04-10T14:54:56.000Z","published_at":"2013-01-09T15:55:47.000Z","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\u003eThe Golomb's self-describing sequence {G(n)} is the only nondecreasing sequence of natural numbers such that n appears exactly G(n) times in the sequence. The values of G(n) for the first few n are\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:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 …\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:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eG(n) 1 2 2 3 3 4 4 4 5 5 5 6 6 6 6 …\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\u003eWrite a MATLAB script that will give you G(n) when given n.\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\u003eEfficiency is key here, since some of the values in the test suite will take a while to calculate.\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":232,"title":"Project Euler: Problem 2, Sum of even Fibonacci","description":"Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:\r\n1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...\r\nBy considering the terms in the Fibonacci sequence whose values do not exceed the input value, find the sum of the even-valued terms.","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: 123px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 61.5px; transform-origin: 406.5px 61.5px; vertical-align: baseline; \"\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: 383.5px 21px; text-align: left; transform-origin: 383.5px 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: 383.5px 7.81667px; transform-origin: 383.5px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEach new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:\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: 383.5px 10.5px; text-align: left; transform-origin: 383.5px 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: 109.992px 7.81667px; transform-origin: 109.992px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...\u003c/span\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: 383.5px 21px; text-align: left; transform-origin: 383.5px 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: 376.317px 7.81667px; transform-origin: 376.317px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBy considering the terms in the Fibonacci sequence whose values do not exceed the input value, find the sum of the even-valued terms.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = euler002(x)\r\n  y = rand;\r\nend","test_suite":"%%\r\nfiletext = fileread('euler002.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n    contains(filetext, '144');\r\nassert(~illegal)\r\n\r\n%%\r\nx =2;\r\nassert(isequal(euler002(x),2))\r\n\r\n%%\r\nx =4000000;\r\ny_correct = 4613732;\r\nassert(isequal(euler002(x),y_correct))\r\n\r\n%%\r\nx =97455000;\r\ny_correct = 82790070;\r\nassert(isequal(euler002(x),y_correct))\r\n\r\n%%\r\nx =597455000;\r\ny_correct = 350704366;\r\nassert(isequal(euler002(x),y_correct))\r\n\r\n%%\r\nx =666576;\r\ny_correct = 257114;\r\nassert(isequal(euler002(x),y_correct))","published":true,"deleted":false,"likes_count":31,"comments_count":8,"created_by":1,"edited_by":223089,"edited_at":"2024-07-04T14:55:54.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2843,"test_suite_updated_at":"2024-07-04T14:55:54.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2012-02-02T15:26:01.000Z","updated_at":"2026-04-20T21:20:00.000Z","published_at":"2012-02-07T15:29:53.000Z","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\u003eEach new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:\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\u003e1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...\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\u003eBy considering the terms in the Fibonacci sequence whose values do not exceed the input value, find the sum of the even-valued terms.\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":2423,"title":"Integer Sequence - II : New Fibonacci","description":"Crack the following Integer Sequence. (Hints : It has been obtained from original Fibonacci Sequence and all the terms are also part of original Fibonacci Sequence)","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: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"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: 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: 374px 8px; transform-origin: 374px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCrack the following Integer Sequence. (Hints : It has been obtained from original Fibonacci Sequence and all the terms are also part of original Fibonacci Sequence)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = newFibo(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nfiletext = fileread('newFibo.m');\r\nillegal = contains(filetext, 'if') || contains(filetext, 'interp') || ...\r\n          contains(filetext, 'str2num') || contains(filetext, 'regexp') ...\r\n          || contains(filetext, 'switch'); \r\nassert(~illegal)\r\n\r\n%%\r\nassert(isequal(newFibo(1),1))\r\n\r\n%%\r\nassert(isequal(newFibo(2),1))\r\n\r\n%%\r\nassert(isequal(newFibo(3),1))\r\n\r\n%%\r\nassert(isequal(newFibo(4),2))\r\n\r\n%%\r\nassert(isequal(newFibo(5),5))\r\n\r\n%%\r\nassert(isequal(newFibo(6),21))\r\n\r\n%%\r\nassert(isequal(newFibo(8),10946))\r\n\r\n%%\r\nassert(isequal(newFibo(9),5702887))\r\n\r\n%%\r\nassert(isequal(newFibo(10),139583862445))","published":true,"deleted":false,"likes_count":20,"comments_count":13,"created_by":17203,"edited_by":223089,"edited_at":"2022-12-26T07:26:12.000Z","deleted_by":null,"deleted_at":null,"solvers_count":680,"test_suite_updated_at":"2022-12-26T07:26:12.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2014-07-14T07:40:27.000Z","updated_at":"2026-04-20T16:16:39.000Z","published_at":"2014-07-14T07:40:27.000Z","restored_at":null,"restored_by":null,"spam":null,"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\u003eCrack the following Integer Sequence. (Hints : It has been obtained from original Fibonacci Sequence and all the terms are also part of original Fibonacci Sequence)\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":2371,"title":"Integer sequence - 2 : Kolakoski sequence","description":"Get the n-th term of Kolakoski Sequence.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 10.5px; transform-origin: 408px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"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; padding-inline-start: 0px; padding-left: 0px; 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; \"\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: 60.6583px 8px; transform-origin: 60.6583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGet the n-th term of\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\u003ca target='_blank' href = \"https://oeis.org/A000002\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003eKolakoski Sequence\u003c/span\u003e\u003c/span\u003e\u003c/a\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 y = your_fcn_name(x)\r\n    \r\nend","test_suite":"%%\r\nfiletext = fileread('your_fcn_name.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp ''') || ...\r\n        contains(filetext, 'oeis') || contains(filetext, 'str2num');\r\nassert(~illegal)\r\n\r\n%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 2;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 3;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 9;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 5;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 12;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 31;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 34;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 37;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 50;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 200;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 200;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = randi(20, 1, 10);\r\ny = [1 2 2 1 1 2 1 2 2 1 2 2 1 1 2 1 1 2 2 1];\r\nassert(isequal(arrayfun(@your_fcn_name, x),y(x)))\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":6,"created_by":17203,"edited_by":223089,"edited_at":"2026-01-28T14:20:54.000Z","deleted_by":null,"deleted_at":null,"solvers_count":190,"test_suite_updated_at":"2026-01-28T14:20:54.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2014-06-18T07:19:02.000Z","updated_at":"2026-04-16T01:52:48.000Z","published_at":"2014-06-18T07:19:35.000Z","restored_at":null,"restored_by":null,"spam":null,"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\u003eGet the n-th term of\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=\\\"https://oeis.org/A000002\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eKolakoski Sequence\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\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\"}]}"},{"id":752,"title":"Is X a Fibonacci Matrix?","description":"In honor of Cleve's new blog and post:\r\n\r\n\u003chttp://blogs.mathworks.com/cleve/2012/06/03/fibonacci-matrices/\u003e\r\n\r\nIs X a Fibonacci matrix?\r\n\r\nWrite a function to determine whether or not the input matrix is a Fibonacci matrix.","description_html":"\u003cp\u003eIn honor of Cleve's new blog and post:\u003c/p\u003e\u003cp\u003e\u003ca href = \"http://blogs.mathworks.com/cleve/2012/06/03/fibonacci-matrices/\"\u003ehttp://blogs.mathworks.com/cleve/2012/06/03/fibonacci-matrices/\u003c/a\u003e\u003c/p\u003e\u003cp\u003eIs X a Fibonacci matrix?\u003c/p\u003e\u003cp\u003eWrite a function to determine whether or not the input matrix is a Fibonacci matrix.\u003c/p\u003e","function_template":"function tf = isFibMat(x)\r\n  tf = rand \u003e 0.5;\r\nend","test_suite":"%%\r\nx = [0 1;1 1];\r\ntf = true;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [1 0;1 1];\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [0 1;1 1]^40;\r\ntf = true;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [0 1;1 1]^40+1;\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [0 1;1 1]^17;\r\ntf = true;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [0 1;1 1]^17-5;\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [0 0 1;0 1 1;1 1 1]^3;\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [0 0 1;0 1 1];\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [[0 1;1 1]^3 [5; 8]];\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = uint8([0 1; 1 1]^5);\r\ntf = true;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = -([0 1; 1 1]^5);\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [0 1; 1 1]^5;\r\nx(2) = nan;\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [4 7;7 11];\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nfor ii = 1:55\r\n    assert(true==isFibMat([0 1;1 1]^ii))\r\nend","published":true,"deleted":false,"likes_count":14,"comments_count":7,"created_by":255,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":773,"test_suite_updated_at":"2012-06-12T18:22:27.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2012-06-06T21:24:01.000Z","updated_at":"2026-04-20T21:30:29.000Z","published_at":"2012-06-06T21:24:41.000Z","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\u003eIn honor of Cleve's new blog and post:\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=\\\"http://blogs.mathworks.com/cleve/2012/06/03/fibonacci-matrices/\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttp://blogs.mathworks.com/cleve/2012/06/03/fibonacci-matrices/\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\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\u003eIs X a Fibonacci matrix?\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\u003eWrite a function to determine whether or not the input matrix is a Fibonacci matrix.\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":1323,"title":"Alternating sum","description":"Given vector x, calculate the alternating sum\r\n\r\n   y = x(1) - x(2) + x(3) - x(4) + ...","description_html":"\u003cp\u003eGiven vector x, calculate the alternating sum\u003c/p\u003e\u003cpre\u003e   y = x(1) - x(2) + x(3) - x(4) + ...\u003c/pre\u003e","function_template":"function y=altsum(x)\r\ny=0;\r\n","test_suite":"%%\r\nx=508;\r\nassert(isequal(altsum(x),508))\r\n%%\r\nx=[1692 591];\r\nassert(isequal(altsum(x),1101))\r\n%%\r\nx=[-644 380 1009];\r\nassert(isequal(altsum(x),-15))\r\n%%\r\nx=[-20 -48 0 -318];\r\nassert(isequal(altsum(x),346))\r\n%%\r\nx=[1095 -1874 428 896 731 578 40];\r\nassert(isequal(altsum(x),2694))","published":true,"deleted":false,"likes_count":8,"comments_count":0,"created_by":245,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":841,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":27,"created_at":"2013-03-07T20:03:18.000Z","updated_at":"2026-04-07T19:13:52.000Z","published_at":"2013-03-07T20:11:39.000Z","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 vector x, calculate the alternating sum\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[   y = x(1) - x(2) + x(3) - x(4) + ...]]\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\"}]}"},{"id":566,"title":"Sum of first n terms of a harmonic progression","description":"Given inputs a, d and n, return the sum of the first n terms of the harmonic progression a, a/(1+d), a/(1+2d), a/(1+3d),....","description_html":"\u003cdiv style = \"text-align: start; line-height: 20px; 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: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"display: block; min-width: 0px; padding-top: 0px; transform-origin: 332px 21px; vertical-align: baseline; perspective-origin: 332px 21px; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-bottom: 9px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; transform-origin: 309px 21px; white-space: pre-wrap; perspective-origin: 309px 21px; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"display: inline; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; transform-origin: 0px 0px; perspective-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven inputs a, d and n, return the sum of the first n terms of the harmonic progression a, a/(1+d), a/(1+2d), a/(1+3d),....\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = harmonicSum(a,d,n)\r\n  s=0;\r\nend","test_suite":"%%\r\na=1;d=1;n=1;\r\ny_correct = 1;\r\nassert(isequal(harmonicSum(a,d,n),y_correct));\r\n\r\n%%\r\na=2;d=2;n=5;\r\ny_correct = round(3.5746,4);\r\nassert(isequal(round(harmonicSum(a,d,n),4),y_correct));\r\n\r\n%%\r\na=4;d=5;n=2;\r\ny_correct = round(4.6667,4);\r\nassert(isequal(round(harmonicSum(a,d,n),4),y_correct));","published":true,"deleted":false,"likes_count":3,"comments_count":14,"created_by":2974,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":503,"test_suite_updated_at":"2020-09-29T02:43:20.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2012-04-08T16:38:19.000Z","updated_at":"2026-04-17T12:47:13.000Z","published_at":"2012-04-08T18:58:53.000Z","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\u003eGiven inputs a, d and n, return the sum of the first n terms of the harmonic progression a, a/(1+d), a/(1+2d), a/(1+3d),....\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":189,"title":"Sum all integers from 1 to 2^n","description":"Given the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.","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: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"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: 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: 342.5px 8px; transform-origin: 342.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = sum_int(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nfiletext = fileread('sum_int.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp');\r\nassert(~illegal)\r\n%%\r\nx = 1;\r\ny_correct = 3;\r\nassert(isequal(sum_int(x),y_correct))\r\n\r\n%%\r\nx = 3;\r\ny_correct = 36;\r\nassert(isequal(sum_int(x),y_correct))\r\n\r\n%%\r\nx = 7;\r\ny_correct = 8256;\r\nassert(isequal(sum_int(x),y_correct))\r\n\r\n%%\r\nx = 10;\r\ny_correct = 524800;\r\nassert(isequal(sum_int(x),y_correct))\r\n\r\n%%\r\nx = 11;\r\ny_correct = 2098176;\r\nassert(isequal(sum_int(x),y_correct))\r\n\r\n%%\r\nx = 14;\r\ny_correct = 134225920;\r\nassert(isequal(sum_int(x),y_correct))\r\n\r\n%%\r\nx = 17;\r\ny_correct = 8590000128;\r\nassert(isequal(sum_int(x),y_correct))","published":true,"deleted":false,"likes_count":94,"comments_count":24,"created_by":431,"edited_by":223089,"edited_at":"2022-11-24T08:12:49.000Z","deleted_by":null,"deleted_at":null,"solvers_count":17559,"test_suite_updated_at":"2022-11-24T08:12:49.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2012-01-31T00:43:21.000Z","updated_at":"2026-04-21T03:41:12.000Z","published_at":"2012-01-31T00:45:23.000Z","restored_at":null,"restored_by":null,"spam":null,"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\u003eGiven the number x, y must be the summation of all integers from 1 to 2^x. For instance if x=2 then y must be 1+2+3+4=10.\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":240,"title":"Project Euler: Problem 6, Natural numbers, squares and sums.","description":"The sum of the squares of the first ten natural numbers is,\r\n\r\n1^2 + 2^2 + ... + 10^2 = 385\r\nThe square of the sum of the first ten natural numbers is,\r\n\r\n(1 + 2 + ... + 10)^2 = 55^2 = 3025\r\nHence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 - 385 = 2640.\r\n\r\nFind the difference between the sum of the squares of the first N (where N is the input) natural numbers and the square of the sum.\r\n\r\nThank you to \u003chttp://projecteuler.net/problem=6 Project Euler Problem 6\u003e","description_html":"\u003cp\u003eThe sum of the squares of the first ten natural numbers is,\u003c/p\u003e\u003cp\u003e1^2 + 2^2 + ... + 10^2 = 385\r\nThe square of the sum of the first ten natural numbers is,\u003c/p\u003e\u003cp\u003e(1 + 2 + ... + 10)^2 = 55^2 = 3025\r\nHence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 - 385 = 2640.\u003c/p\u003e\u003cp\u003eFind the difference between the sum of the squares of the first N (where N is the input) natural numbers and the square of the sum.\u003c/p\u003e\u003cp\u003eThank you to \u003ca href=\"http://projecteuler.net/problem=6\"\u003eProject Euler Problem 6\u003c/a\u003e\u003c/p\u003e","function_template":"function y = euler006(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 10;\r\ny_correct = 2640;\r\nassert(isequal(euler006(x),y_correct))\r\n\r\n%%\r\nx = 20;\r\ny_correct = 41230;\r\nassert(isequal(euler006(x),y_correct))\r\n\r\n%%\r\nx = 200;\r\ny_correct = 401323300;\r\nassert(isequal(euler006(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":12,"comments_count":3,"created_by":240,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":2543,"test_suite_updated_at":"2012-02-02T20:31:39.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2012-02-02T20:31:39.000Z","updated_at":"2026-04-16T01:54:35.000Z","published_at":"2012-02-02T20:32:49.000Z","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\u003eThe sum of the squares of the first ten natural numbers is,\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\u003e1^2 + 2^2 + ... + 10^2 = 385 The square of the sum of the first ten natural numbers is,\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\u003e(1 + 2 + ... + 10)^2 = 55^2 = 3025 Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 - 385 = 2640.\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\u003eFind the difference between the sum of the squares of the first N (where N is the input) natural numbers and the square of the 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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThank you to\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://projecteuler.net/problem=6\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProject Euler Problem 6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\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":1084,"title":"Square Digits Number Chain Terminal Value (Inspired by Project Euler Problem 92)","description":"Given a number _n_, return the terminal value of the number chain formed by summing the square of the digits. According to the Project Euler problem, this number chain always terminates with either 1 or 89.\r\n\r\nProject Euler Problem 92: \u003chttp://projecteuler.net/problem=92 Link\u003e","description_html":"\u003cp\u003eGiven a number \u003ci\u003en\u003c/i\u003e, return the terminal value of the number chain formed by summing the square of the digits. According to the Project Euler problem, this number chain always terminates with either 1 or 89.\u003c/p\u003e\u003cp\u003eProject Euler Problem 92: \u003ca href=\"http://projecteuler.net/problem=92\"\u003eLink\u003c/a\u003e\u003c/p\u003e","function_template":"function y = digits_squared_chain(x)\r\n  y = 1;\r\nend","test_suite":"%%\r\nassert(digits_squared_chain(649) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(79) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(608) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(487) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(739) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(565) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(68) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(383) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(379) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(203) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(632) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(391) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(863) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(13) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(100) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(236) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(293) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(230) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(31) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(806) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(623) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(7) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(13) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(836) == 1)\r\n\r\n%%\r\nassert(digits_squared_chain(954) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(567) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(388) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(789) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(246) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(787) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(311) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(856) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(143) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(873) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(215) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(995) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(455) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(948) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(875) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(788) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(722) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(250) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(227) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(640) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(835) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(965) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(726) == 89)\r\n\r\n%%\r\nassert(digits_squared_chain(689) == 89)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":134,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":257,"test_suite_updated_at":"2012-12-05T06:42:14.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2012-12-03T06:49:33.000Z","updated_at":"2026-04-17T12:49:34.000Z","published_at":"2012-12-05T06:42:14.000Z","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 number\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, return the terminal value of the number chain formed by summing the square of the digits. According to the Project Euler problem, this number chain always terminates with either 1 or 89.\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\u003eProject Euler Problem 92:\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://projecteuler.net/problem=92\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eLink\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\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":434,"title":"Return the Fibonacci Sequence","description":"Write a code which returns the Fibonacci Sequence such that the largest value in the sequence is less than the input integer N.  For example, \r\n\r\n\r\n  \u003e\u003e fib_seq(34)\r\n\r\n  ans =\r\n\r\n       1  1  2  3  5  8  13  21\r\n\r\n  \u003e\u003e fib_seq(35)\r\n\r\n  ans =\r\n\r\n       1  1  2  3  5  8  13  21  34","description_html":"\u003cp\u003eWrite a code which returns the Fibonacci Sequence such that the largest value in the sequence is less than the input integer N.  For example,\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e\u003e\u003e fib_seq(34)\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003eans =\r\n\u003c/pre\u003e\u003cpre\u003e       1  1  2  3  5  8  13  21\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003e\u003e\u003e fib_seq(35)\r\n\u003c/pre\u003e\u003cpre class=\"language-matlab\"\u003eans =\r\n\u003c/pre\u003e\u003cpre\u003e       1  1  2  3  5  8  13  21  34\u003c/pre\u003e","function_template":"function y = fib_seq(N)\r\n  y = x;\r\nend","test_suite":"%%\r\nX = fib_seq(34);\r\nassert(isequal(X(end),21) \u0026\u0026 length(X)==8)\r\n%%\r\nX = fib_seq(35);\r\nassert(isequal(X(end),34) \u0026\u0026 length(X)==9)\r\n%%\r\nX = fib_seq(145);\r\nassert(isequal(X(end),144) \u0026\u0026 length(X)==12)\r\n%%\r\nX = fib_seq(4196);\r\nassert(isequal(X(end),4181) \u0026\u0026 length(X)==19)\r\n%%\r\nX = fib_seq(987419996);\r\nassert(isequal(X(end),701408733) \u0026\u0026 length(X)==44)\r\n%%\r\nX = fib_seq(1134903171);\r\nassert(isequal(X(end),1134903170) \u0026\u0026 length(X)==45)\r\n%%\r\nX = fib_seq(98691443031971);\r\nassert(isequal(X(end),72723460248141) \u0026\u0026 length(X)==68)","published":true,"deleted":false,"likes_count":10,"comments_count":2,"created_by":459,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1510,"test_suite_updated_at":"2017-05-23T15:28:28.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2012-03-02T01:07:27.000Z","updated_at":"2026-04-20T16:15:15.000Z","published_at":"2012-03-02T01:12:20.000Z","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\u003eWrite a code which returns the Fibonacci Sequence such that the largest value in the sequence is less than the input integer N. For example,\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[\u003e\u003e fib_seq(34)\\n\\nans =\\n\\n       1  1  2  3  5  8  13  21\\n\\n\u003e\u003e fib_seq(35)\\n\\nans =\\n\\n       1  1  2  3  5  8  13  21  34]]\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\"}]}"},{"id":594,"title":"\"Look and say\" sequence","description":"What's the next number in this sequence?\r\n\r\n* [0]\r\n* [1 0]\r\n* [1 1 1 0]\r\n* [3 1 1 0]\r\n* [1 3 2 1 1 0]\r\n\r\nThis a variant on the well-known \u003chttp://en.wikipedia.org/wiki/Look-and-say_sequence \"look and say\" or  Morris sequence\u003e, where each new iteration is made up by 'saying' the number of numbers you see. That last line is \"one 3; then two 1s; then one 0\".\r\n\r\nCreate a function that returns the next element of this sequence, given a vector as a starting seed..","description_html":"\u003cp\u003eWhat's the next number in this sequence?\u003c/p\u003e\u003cul\u003e\u003cli\u003e[0]\u003c/li\u003e\u003cli\u003e[1 0]\u003c/li\u003e\u003cli\u003e[1 1 1 0]\u003c/li\u003e\u003cli\u003e[3 1 1 0]\u003c/li\u003e\u003cli\u003e[1 3 2 1 1 0]\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eThis a variant on the well-known \u003ca href = \"http://en.wikipedia.org/wiki/Look-and-say_sequence\"\u003e\"look and say\" or  Morris sequence\u003c/a\u003e, where each new iteration is made up by 'saying' the number of numbers you see. That last line is \"one 3; then two 1s; then one 0\".\u003c/p\u003e\u003cp\u003eCreate a function that returns the next element of this sequence, given a vector as a starting seed..\u003c/p\u003e","function_template":"function NEXT = look_and_say(SEED)\r\n  NEXT = SEED;\r\nend","test_suite":"%%\r\nassert(isequal(look_and_say([1]),[1 1]))\r\n%%\r\nassert(isequal(look_and_say([1 1 1 1 1]),[5 1]))\r\n%%\r\nassert(isequal(look_and_say([1 3 3 1 5 2 2]),[1 1 2 3 1 1 1 5 2 2]))\r\n%%\r\nassert(isequal(look_and_say([8 6 7 5 3 0 9]),[1 8 1 6 1 7 1 5 1 3 1 0 1 9]))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":4,"created_by":78,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":239,"test_suite_updated_at":"2012-04-17T19:20:53.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-04-17T15:20:45.000Z","updated_at":"2026-04-16T02:00:18.000Z","published_at":"2012-04-17T15:21:34.000Z","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\u003eWhat's the next number in this sequence?\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\u003e[0]\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\u003e[1 0]\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\u003e[1 1 1 0]\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\u003e[3 1 1 0]\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\u003e[1 3 2 1 1 0]\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 a variant on the well-known\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://en.wikipedia.org/wiki/Look-and-say_sequence\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\\\"look and say\\\" or Morris sequence\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, where each new iteration is made up by 'saying' the number of numbers you see. That last line is \\\"one 3; then two 1s; then one 0\\\".\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\u003eCreate a function that returns the next element of this sequence, given a vector as a starting seed..\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":1190,"title":"Golomb's self-describing sequence (based on Euler 341)","description":"The Golomb's self-describing sequence {G(n)} is the only nondecreasing sequence of natural numbers such that n appears exactly G(n) times in the sequence. The values of G(n) for the first few n are\r\n\r\n* |n =\u0026nbsp;    1    2    3\t4\t5\t6\t7\t8\t9\t10\t11\t12\t13\t14\t15\t…|\r\n* |G(n) 1    2\t2\t3\t3\t4\t4\t4\t5\t5\t\u0026nbsp;5\t\u0026nbsp;6\t\u0026nbsp;6\t\u0026nbsp;6\t\u0026nbsp;6\t\u0026nbsp;…|\r\n\r\nWrite a MATLAB script that will give you G(n) when given n.\r\n\r\nEfficiency is key here, since some of the values in the test suite will take a while to calculate.","description_html":"\u003cp\u003eThe Golomb's self-describing sequence {G(n)} is the only nondecreasing sequence of natural numbers such that n appears exactly G(n) times in the sequence. The values of G(n) for the first few n are\u003c/p\u003e\u003cul\u003e\u003cli\u003e\u003ctt\u003en =\u0026nbsp;    1    2    3\t4\t5\t6\t7\t8\t9\t10\t11\t12\t13\t14\t15\t…\u003c/tt\u003e\u003c/li\u003e\u003cli\u003e\u003ctt\u003eG(n) 1    2\t2\t3\t3\t4\t4\t4\t5\t5\t\u0026nbsp;5\t\u0026nbsp;6\t\u0026nbsp;6\t\u0026nbsp;6\t\u0026nbsp;6\t\u0026nbsp;…\u003c/tt\u003e\u003c/li\u003e\u003c/ul\u003e\u003cp\u003eWrite a MATLAB script that will give you G(n) when given n.\u003c/p\u003e\u003cp\u003eEfficiency is key here, since some of the values in the test suite will take a while to calculate.\u003c/p\u003e","function_template":"function y = euler341(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(euler341(1),1))\r\n%%\r\nassert(isequal(euler341(10),5))\r\n%%\r\nassert(isequal(euler341(310),42))\r\n%%\r\nassert(isequal(euler341(4242),210))\r\n%%\r\nassert(isequal(euler341(328509),3084))\r\n%%\r\nassert(isequal(euler341(551368),4247))\r\n%%\r\nassert(isequal(euler341(614125),4540))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":1615,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":184,"test_suite_updated_at":"2013-10-01T17:43:23.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2013-01-09T15:55:47.000Z","updated_at":"2026-04-10T14:54:56.000Z","published_at":"2013-01-09T15:55:47.000Z","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\u003eThe Golomb's self-describing sequence {G(n)} is the only nondecreasing sequence of natural numbers such that n appears exactly G(n) times in the sequence. The values of G(n) for the first few n are\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:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 …\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:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eG(n) 1 2 2 3 3 4 4 4 5 5 5 6 6 6 6 …\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\u003eWrite a MATLAB script that will give you G(n) when given n.\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\u003eEfficiency is key here, since some of the values in the test suite will take a while to calculate.\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":232,"title":"Project Euler: Problem 2, Sum of even Fibonacci","description":"Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:\r\n1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...\r\nBy considering the terms in the Fibonacci sequence whose values do not exceed the input value, find the sum of the even-valued terms.","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: 123px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 61.5px; transform-origin: 406.5px 61.5px; vertical-align: baseline; \"\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: 383.5px 21px; text-align: left; transform-origin: 383.5px 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: 383.5px 7.81667px; transform-origin: 383.5px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEach new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:\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: 383.5px 10.5px; text-align: left; transform-origin: 383.5px 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: 109.992px 7.81667px; transform-origin: 109.992px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...\u003c/span\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: 383.5px 21px; text-align: left; transform-origin: 383.5px 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: 376.317px 7.81667px; transform-origin: 376.317px 7.81667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBy considering the terms in the Fibonacci sequence whose values do not exceed the input value, find the sum of the even-valued terms.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = euler002(x)\r\n  y = rand;\r\nend","test_suite":"%%\r\nfiletext = fileread('euler002.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n    contains(filetext, '144');\r\nassert(~illegal)\r\n\r\n%%\r\nx =2;\r\nassert(isequal(euler002(x),2))\r\n\r\n%%\r\nx =4000000;\r\ny_correct = 4613732;\r\nassert(isequal(euler002(x),y_correct))\r\n\r\n%%\r\nx =97455000;\r\ny_correct = 82790070;\r\nassert(isequal(euler002(x),y_correct))\r\n\r\n%%\r\nx =597455000;\r\ny_correct = 350704366;\r\nassert(isequal(euler002(x),y_correct))\r\n\r\n%%\r\nx =666576;\r\ny_correct = 257114;\r\nassert(isequal(euler002(x),y_correct))","published":true,"deleted":false,"likes_count":31,"comments_count":8,"created_by":1,"edited_by":223089,"edited_at":"2024-07-04T14:55:54.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2843,"test_suite_updated_at":"2024-07-04T14:55:54.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2012-02-02T15:26:01.000Z","updated_at":"2026-04-20T21:20:00.000Z","published_at":"2012-02-07T15:29:53.000Z","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\u003eEach new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:\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\u003e1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...\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\u003eBy considering the terms in the Fibonacci sequence whose values do not exceed the input value, find the sum of the even-valued terms.\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":2423,"title":"Integer Sequence - II : New Fibonacci","description":"Crack the following Integer Sequence. (Hints : It has been obtained from original Fibonacci Sequence and all the terms are also part of original Fibonacci Sequence)","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: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"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: 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: 374px 8px; transform-origin: 374px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCrack the following Integer Sequence. (Hints : It has been obtained from original Fibonacci Sequence and all the terms are also part of original Fibonacci Sequence)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = newFibo(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nfiletext = fileread('newFibo.m');\r\nillegal = contains(filetext, 'if') || contains(filetext, 'interp') || ...\r\n          contains(filetext, 'str2num') || contains(filetext, 'regexp') ...\r\n          || contains(filetext, 'switch'); \r\nassert(~illegal)\r\n\r\n%%\r\nassert(isequal(newFibo(1),1))\r\n\r\n%%\r\nassert(isequal(newFibo(2),1))\r\n\r\n%%\r\nassert(isequal(newFibo(3),1))\r\n\r\n%%\r\nassert(isequal(newFibo(4),2))\r\n\r\n%%\r\nassert(isequal(newFibo(5),5))\r\n\r\n%%\r\nassert(isequal(newFibo(6),21))\r\n\r\n%%\r\nassert(isequal(newFibo(8),10946))\r\n\r\n%%\r\nassert(isequal(newFibo(9),5702887))\r\n\r\n%%\r\nassert(isequal(newFibo(10),139583862445))","published":true,"deleted":false,"likes_count":20,"comments_count":13,"created_by":17203,"edited_by":223089,"edited_at":"2022-12-26T07:26:12.000Z","deleted_by":null,"deleted_at":null,"solvers_count":680,"test_suite_updated_at":"2022-12-26T07:26:12.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2014-07-14T07:40:27.000Z","updated_at":"2026-04-20T16:16:39.000Z","published_at":"2014-07-14T07:40:27.000Z","restored_at":null,"restored_by":null,"spam":null,"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\u003eCrack the following Integer Sequence. (Hints : It has been obtained from original Fibonacci Sequence and all the terms are also part of original Fibonacci Sequence)\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":2371,"title":"Integer sequence - 2 : Kolakoski sequence","description":"Get the n-th term of Kolakoski Sequence.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 21px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 408px 10.5px; transform-origin: 408px 10.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"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; padding-inline-start: 0px; padding-left: 0px; 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; \"\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: 60.6583px 8px; transform-origin: 60.6583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGet the n-th term of\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\u003ca target='_blank' href = \"https://oeis.org/A000002\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003eKolakoski Sequence\u003c/span\u003e\u003c/span\u003e\u003c/a\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 y = your_fcn_name(x)\r\n    \r\nend","test_suite":"%%\r\nfiletext = fileread('your_fcn_name.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp ''') || ...\r\n        contains(filetext, 'oeis') || contains(filetext, 'str2num');\r\nassert(~illegal)\r\n\r\n%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 2;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 3;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 9;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 5;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 12;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 31;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 34;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 37;\r\ny_correct = 1;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 50;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 200;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 200;\r\ny_correct = 2;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = randi(20, 1, 10);\r\ny = [1 2 2 1 1 2 1 2 2 1 2 2 1 1 2 1 1 2 2 1];\r\nassert(isequal(arrayfun(@your_fcn_name, x),y(x)))\r\n","published":true,"deleted":false,"likes_count":6,"comments_count":6,"created_by":17203,"edited_by":223089,"edited_at":"2026-01-28T14:20:54.000Z","deleted_by":null,"deleted_at":null,"solvers_count":190,"test_suite_updated_at":"2026-01-28T14:20:54.000Z","rescore_all_solutions":false,"group_id":27,"created_at":"2014-06-18T07:19:02.000Z","updated_at":"2026-04-16T01:52:48.000Z","published_at":"2014-06-18T07:19:35.000Z","restored_at":null,"restored_by":null,"spam":null,"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\u003eGet the n-th term of\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=\\\"https://oeis.org/A000002\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eKolakoski Sequence\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\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\"}]}"},{"id":752,"title":"Is X a Fibonacci Matrix?","description":"In honor of Cleve's new blog and post:\r\n\r\n\u003chttp://blogs.mathworks.com/cleve/2012/06/03/fibonacci-matrices/\u003e\r\n\r\nIs X a Fibonacci matrix?\r\n\r\nWrite a function to determine whether or not the input matrix is a Fibonacci matrix.","description_html":"\u003cp\u003eIn honor of Cleve's new blog and post:\u003c/p\u003e\u003cp\u003e\u003ca href = \"http://blogs.mathworks.com/cleve/2012/06/03/fibonacci-matrices/\"\u003ehttp://blogs.mathworks.com/cleve/2012/06/03/fibonacci-matrices/\u003c/a\u003e\u003c/p\u003e\u003cp\u003eIs X a Fibonacci matrix?\u003c/p\u003e\u003cp\u003eWrite a function to determine whether or not the input matrix is a Fibonacci matrix.\u003c/p\u003e","function_template":"function tf = isFibMat(x)\r\n  tf = rand \u003e 0.5;\r\nend","test_suite":"%%\r\nx = [0 1;1 1];\r\ntf = true;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [1 0;1 1];\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [0 1;1 1]^40;\r\ntf = true;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [0 1;1 1]^40+1;\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [0 1;1 1]^17;\r\ntf = true;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [0 1;1 1]^17-5;\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [0 0 1;0 1 1;1 1 1]^3;\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [0 0 1;0 1 1];\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [[0 1;1 1]^3 [5; 8]];\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = uint8([0 1; 1 1]^5);\r\ntf = true;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = -([0 1; 1 1]^5);\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [0 1; 1 1]^5;\r\nx(2) = nan;\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nx = [4 7;7 11];\r\ntf = false;\r\nassert(isequal(isFibMat(x),tf))\r\nclear all;\r\n\r\n%%\r\nfor ii = 1:55\r\n    assert(true==isFibMat([0 1;1 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