{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-06T14:01:22.000Z","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":"2026-04-06T00:00:00.000Z","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":2920,"title":"Golden ratio","description":"Calculate the golden ratio. Hint: phi^2 = phi + 1.","description_html":"\u003cp\u003eCalculate the golden ratio. Hint: phi^2 = phi + 1.\u003c/p\u003e","function_template":"function phi = goldenRatio\r\n  phi = 1;\r\nend","test_suite":"%%\r\nphi_correct = (sqrt(5)+1)/2;\r\nerror_bound = 10^-12;\r\nassert(abs(goldenRatio() - phi_correct) \u003c= error_bound )\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":32231,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":180,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-02-01T23:50:24.000Z","updated_at":"2026-02-16T11:46:22.000Z","published_at":"2015-02-01T23:51:09.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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\u003eCalculate the golden ratio. Hint: phi^2 = phi + 1.\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":45203,"title":"Check if a number belongs in the fibonacci squence","description":"Test if integer i is a number in the fibonacci sequence. Return true if it is.","description_html":"\u003cp\u003eTest if integer i is a number in the fibonacci sequence. Return true if it is.\u003c/p\u003e","function_template":"function b = isFibonacci(i)\r\n  b = true;\r\nend","test_suite":"%%\r\nassert(isequal(isFibonacci(2),true))\r\n%%\r\nassert(isequal(isFibonacci(3),true))\r\n%%\r\nassert(isequal(isFibonacci(5),true))\r\n%%\r\nassert(isequal(isFibonacci(89),true))\r\n%%\r\nassert(isequal(isFibonacci(233),true))\r\n%%\r\nassert(isequal(isFibonacci(6765),true))\r\n%%\r\nassert(isequal(isFibonacci(18),false))\r\n%%\r\nassert(isequal(isFibonacci(100),false))\r\n%%\r\nassert(isequal(isFibonacci(230),false))\r\n%%\r\nassert(isequal(isFibonacci(514227),false))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":348097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":44,"test_suite_updated_at":"2019-11-12T09:20:55.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-11-12T09:15:22.000Z","updated_at":"2026-03-06T10:50:29.000Z","published_at":"2019-11-12T09:20:55.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTest if integer i is a number in the fibonacci sequence. Return true if it is.\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":52379,"title":"Double Fibonacci","description":"double_fibonacci takes two integers, each greater than one, as input arguments (it does not have to check the format of the input) and returns a two-dimensional array. If it is called likethis,\r\nA = double_fibonacci(M,N), then A is an M-by-N array that has the Fibonacci series on its first row, has the same series in its first column, and for rows n = 2 to M , row n contains the Fibonacci numbers that begin with nth number in the series. Here is an example showing the output when the input integers are 6 and 9,\r\n A = double_fibonacci(6,9):\r\nA =\r\n[1 1 2 3 5 8 13 21 34;\r\n1 2 3 5 8 13 21 34 55;\r\n2 3 5 8 13 21 34 55 89;\r\n3 5 8 13 21 34 55 89 144;\r\n5 8 13 21 34 55 89 144 233;\r\n8 13 21 34 55 89 144 233 377]\r\nThe first row of A gives the first nine numbers in the Fibonacci series. The series\r\nstarts with two ones, and each subsequent number is equal to the sum of\r\nthe two numbers that precede it.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; 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: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 427.917px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.493px 213.958px; transform-origin: 406.493px 213.958px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 40px; 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: 383.49px 20px; text-align: left; transform-origin: 383.498px 20px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003edouble_fibonacci takes two integers, each greater than one, as input arguments (it does not have to check the format of the input) and returns a two-dimensional array. If it is called likethis,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 60px; 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: 383.49px 30px; text-align: left; transform-origin: 383.498px 30px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA = double_fibonacci(M,N), then A is an M-by-N array that has the Fibonacci series on its first row, has the same series in its first column, and for rows n = 2 to M , row n contains the Fibonacci numbers that begin with nth number in the series. Here is an example showing the output when the input integers are 6 and 9,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e A = double_fibonacci(6,9):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA =\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e[1 1 2 3 5 8 13 21 34;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e1 2 3 5 8 13 21 34 55;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e2 3 5 8 13 21 34 55 89;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e3 5 8 13 21 34 55 89 144;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e5 8 13 21 34 55 89 144 233;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e8 13 21 34 55 89 144 233 377]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe first row of A gives the first nine numbers in the Fibonacci series. The series\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003estarts with two ones, and each subsequent number is equal to the sum of\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ethe two numbers that precede it.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = double_fibonacci(m,n)\r\n  y = x;\r\nend","test_suite":"%%\r\nm = 6;\r\nn = 9;\r\ny_correct = [1 1 2 3 5 8 13 21 34;\r\n             1 2 3 5 8 13 21 34 55;\r\n             2 3 5 8 13 21 34 55 89;\r\n             3 5 8 13 21 34 55 89 144;\r\n             5 8 13 21 34 55 89 144 233;\r\n             8 13 21 34 55 89 144 233 377];\r\n\r\nassert(isequal(double_fibonacci(m,n),y_correct))\r\n\r\n%%\r\nm = 3;\r\nn = 4;\r\ny_correct = [1     1     2     3;\r\n             1     2     3     5;\r\n             2     3     5     8];\r\n\r\nassert(isequal(double_fibonacci(m,n),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":505754,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":29,"test_suite_updated_at":"2021-07-28T09:57:07.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-07-28T08:34:11.000Z","updated_at":"2026-04-02T15:13:32.000Z","published_at":"2021-07-28T09:50:41.000Z","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\u003edouble_fibonacci takes two integers, each greater than one, as input arguments (it does not have to check the format of the input) and returns a two-dimensional array. If it is called likethis,\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\u003eA = double_fibonacci(M,N), then A is an M-by-N array that has the Fibonacci series on its first row, has the same series in its first column, and for rows n = 2 to M , row n contains the Fibonacci numbers that begin with nth number in the series. Here is an example showing the output when the input integers are 6 and 9,\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\u003e A = double_fibonacci(6,9):\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\u003eA =\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\u003e[1 1 2 3 5 8 13 21 34;\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;\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\u003e2 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\u003e3 5 8 13 21 34 55 89 144;\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\u003e5 8 13 21 34 55 89 144 233;\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\u003e8 13 21 34 55 89 144 233 377]\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\u003eThe first row of A gives the first nine numbers in the Fibonacci series. The series\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\u003estarts with two ones, and each subsequent number is equal to the sum of\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\u003ethe two numbers that precede it.\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":2187,"title":"Generalized Fibonacci","description":"The Fibonacci sequence is defined as:\r\nFib(1) = 0\r\nFib(2) = 1\r\nFib(N) = Fib(N-1) + Fib(N-2)\r\nThe Fibonacci sequence can be generalized as follows:\r\nFib_gen(1) = a\r\nFib_gen(2) = b\r\nFib_gen(N) = Fib_gen(N-1) + Fib_gen(N-2)\r\nwhere 0 \u003c= a \u003c= b\r\nMoreover it can be shown that\r\nFib_gen(N) = k(1) * Fib(N) + k(2) * Fib(N+1)\r\nGiven a and b find k(1) and k(2).","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: 317.033px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 158.517px; transform-origin: 407px 158.517px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 122px 8px; transform-origin: 122px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Fibonacci sequence is defined as:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 30.65px; transform-origin: 404px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 40px 8.5px; tab-size: 4; transform-origin: 40px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eFib(1) = 0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 40px 8.5px; tab-size: 4; transform-origin: 40px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eFib(2) = 1\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 112px 8.5px; tab-size: 4; transform-origin: 112px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eFib(N) = Fib(N-1) + Fib(N-2)\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 174.5px 8px; transform-origin: 174.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Fibonacci sequence can be generalized as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 30.65px; transform-origin: 404px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 56px 8.5px; tab-size: 4; transform-origin: 56px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eFib_gen(1) = a\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 56px 8.5px; tab-size: 4; transform-origin: 56px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eFib_gen(2) = b\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 160px 8.5px; tab-size: 4; transform-origin: 160px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eFib_gen(N) = Fib_gen(N-1) + Fib_gen(N-2)\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 57px 8px; transform-origin: 57px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere 0 \u0026lt;= a \u0026lt;= b\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95px 8px; transform-origin: 95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eMoreover it can be shown that\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 176px 8.5px; tab-size: 4; transform-origin: 176px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eFib_gen(N) = k(1) * Fib(N) + k(2) * Fib(N+1)\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 103px 8px; transform-origin: 103px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a and b find k(1) and k(2).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function k = Fib_gen_solver(a,b)\r\n  k(1) = 1;\r\n  k(2) = 1;\r\nend","test_suite":"%%\r\na = 0\r\nb = 0\r\ny_correct = [0 0];\r\nassert(isequal(Fib_gen_solver(a,b),y_correct))\r\n\r\n%%\r\na = 0\r\nb = 1\r\ny_correct = [1 0];\r\nassert(isequal(Fib_gen_solver(a,b),y_correct))\r\n\r\n%%\r\na = 1\r\nb = 1\r\ny_correct = [0 1];\r\nassert(isequal(Fib_gen_solver(a,b),y_correct))\r\n\r\n%%\r\na = 5\r\nb = 13\r\ny_correct = [8 5];\r\nassert(isequal(Fib_gen_solver(a,b),y_correct))","published":true,"deleted":false,"likes_count":4,"comments_count":4,"created_by":22466,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":50,"test_suite_updated_at":"2022-01-13T07:37:39.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-02-17T03:16:22.000Z","updated_at":"2025-12-18T10:43:08.000Z","published_at":"2014-02-17T03:18:47.000Z","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\u003eThe Fibonacci sequence is defined as:\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[Fib(1) = 0\\nFib(2) = 1\\nFib(N) = Fib(N-1) + Fib(N-2)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe Fibonacci sequence can be generalized as follows:\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[Fib_gen(1) = a\\nFib_gen(2) = b\\nFib_gen(N) = Fib_gen(N-1) + Fib_gen(N-2)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere 0 \u0026lt;= a \u0026lt;= b\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\u003eMoreover it can be shown that\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[Fib_gen(N) = k(1) * Fib(N) + k(2) * Fib(N+1)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a and b find k(1) and k(2).\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":1997,"title":"Compute Fibonacci Number","description":"Compute the n-th Fibonacci Number\r\nf(0) = 0, f(1) = 1, f(2) = 1, f(3) = 2, ... f(42) = 267914296","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: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 25.5px; transform-origin: 407px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.5px 8px; transform-origin: 40.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCompute the\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\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: 67.5px 8px; transform-origin: 67.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th Fibonacci Number\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 175px 8px; transform-origin: 175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ef(0) = 0, f(1) = 1, f(2) = 1, f(3) = 2, ... f(42) = 267914296\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function f = fibonacci(n)\r\n  f = n;\r\nend","test_suite":"%%\r\nfiletext = fileread('fibonacci.m');\r\nillegal = contains(filetext, 'switch') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'if');\r\nassert(~illegal)\r\n\r\n%%\r\nassert(isequal(fibonacci(1),1))\r\nassert(isequal(fibonacci(2),1))\r\nassert(isequal(fibonacci(5),5))\r\nassert(isequal(fibonacci(7),13))\r\nassert(isequal(fibonacci(13),233))\r\nassert(isequal(fibonacci(15),610))","published":true,"deleted":false,"likes_count":6,"comments_count":1,"created_by":11486,"edited_by":223089,"edited_at":"2022-12-13T17:55:55.000Z","deleted_by":null,"deleted_at":null,"solvers_count":520,"test_suite_updated_at":"2022-12-13T17:55:55.000Z","rescore_all_solutions":false,"group_id":8,"created_at":"2013-11-16T14:45:07.000Z","updated_at":"2026-04-07T04:26:55.000Z","published_at":"2013-11-16T14:46:35.000Z","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\u003eCompute the\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-th Fibonacci Number\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\u003ef(0) = 0, f(1) = 1, f(2) = 1, f(3) = 2, ... f(42) = 267914296\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":44370,"title":"Octoberfest festival","description":"A group of students decided to visit Octoberfest festival. First they ordered one beer, then after half-hour they taken one more, after one more half-hour they ordered two more beers like sum of previous two times. Then after having spend a good time and anoter half an hour they ordered three beers. The situation went on. Task: calculate how many beers they ordered after n half-hours for given n - number of half-hours.\r\n\r\nExample:\r\n\r\nn=1 result will be 2;\r\n\r\nn=2 result will be 4.","description_html":"\u003cp\u003eA group of students decided to visit Octoberfest festival. First they ordered one beer, then after half-hour they taken one more, after one more half-hour they ordered two more beers like sum of previous two times. Then after having spend a good time and anoter half an hour they ordered three beers. The situation went on. Task: calculate how many beers they ordered after n half-hours for given n - number of half-hours.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cp\u003en=1 result will be 2;\u003c/p\u003e\u003cp\u003en=2 result will be 4.\u003c/p\u003e","function_template":"function totalNumberOfOrderedBeers = OctoberfestFestival(n)  \r\n  totalNumberOfOrderedBeers=n\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 2;\r\nassert(isequal(OctoberfestFestival(x),y_correct))\r\n%%\r\nx = 5;\r\ny_correct = 20;\r\nassert(isequal(OctoberfestFestival(x),y_correct))\r\n%%\r\nx = 10;\r\ny_correct = 232;\r\nassert(isequal(OctoberfestFestival(x),y_correct))","published":true,"deleted":false,"likes_count":4,"comments_count":11,"created_by":90467,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":498,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":34,"created_at":"2017-10-10T19:33:58.000Z","updated_at":"2026-03-18T12:47:33.000Z","published_at":"2017-10-16T01:45:10.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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\u003eA group of students decided to visit Octoberfest festival. First they ordered one beer, then after half-hour they taken one more, after one more half-hour they ordered two more beers like sum of previous two times. Then after having spend a good time and anoter half an hour they ordered three beers. The situation went on. Task: calculate how many beers they ordered after n half-hours for given n - number of half-hours.\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\u003eExample:\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\u003en=1 result will be 2;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en=2 result will be 4.\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":2982,"title":" Get a Fibonacci number's index.","description":"*N.B.* For the purpose of this exercise, the first Fibonacci number is 1, and the second is 2; that is, |fib(1) = 1| and |fib(2) = 2| .\r\n\r\nMake a function |isfib(x)| so that:\r\n\r\n* if the value of the input |x| is _not_ a Fibonacci number, the function returns a zero.\r\n* if the value of the input |x| _is_ a Fibonacci number, the function returns its index in the Fibonacci sequence. That is, |isfib(fib(n))| should return the value of |n| .","description_html":"\u003cp\u003e\u003cb\u003eN.B.\u003c/b\u003e For the purpose of this exercise, the first Fibonacci number is 1, and the second is 2; that is, \u003ctt\u003efib(1) = 1\u003c/tt\u003e and \u003ctt\u003efib(2) = 2\u003c/tt\u003e .\u003c/p\u003e\u003cp\u003eMake a function \u003ctt\u003eisfib(x)\u003c/tt\u003e so that:\u003c/p\u003e\u003cul\u003e\u003cli\u003eif the value of the input \u003ctt\u003ex\u003c/tt\u003e is \u003ci\u003enot\u003c/i\u003e a Fibonacci number, the function returns a zero.\u003c/li\u003e\u003cli\u003eif the value of the input \u003ctt\u003ex\u003c/tt\u003e \u003ci\u003eis\u003c/i\u003e a Fibonacci number, the function returns its index in the Fibonacci sequence. That is, \u003ctt\u003eisfib(fib(n))\u003c/tt\u003e should return the value of \u003ctt\u003en\u003c/tt\u003e .\u003c/li\u003e\u003c/ul\u003e","function_template":"function ans = isfib(x)\r\n  ans = 0;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(isfib(x),y_correct))\r\n\r\n%%\r\nx = 2;\r\ny_correct = 2;\r\nassert(isequal(isfib(x),y_correct))\r\n\r\n%%\r\nx = 1.2345;\r\ny_correct = 0;\r\nassert(isequal(isfib(x),y_correct))\r\n\r\n%%\r\nx = 4;\r\ny_correct = 0;\r\nassert(isequal(isfib(x),y_correct))\r\n\r\n%%\r\nx = -1;\r\ny_correct = 0;\r\nassert(isequal(isfib(x),y_correct))\r\n%%\r\nx = 89;\r\ny_correct = 10;\r\nassert(isequal(isfib(x),y_correct))\r\n%%\r\nx = 5.731478440138172e+20;\r\ny_correct = 100;\r\nassert(isequal(isfib(x),y_correct))","published":true,"deleted":false,"likes_count":3,"comments_count":3,"created_by":34095,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":51,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-02-07T09:56:12.000Z","updated_at":"2026-01-30T00:21:59.000Z","published_at":"2015-02-07T10:14:37.000Z","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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN.B.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e For the purpose of this exercise, the first Fibonacci number is 1, and the second is 2; that is,\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efib(1) = 1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efib(2) = 2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e .\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eMake a function\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eisfib(x)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e so that:\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\u003eif the value of the input\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is\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\u003enot\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e a Fibonacci number, the function returns a zero.\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\u003eif the value of the input\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ex\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\u003eis\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e a Fibonacci number, the function returns its index in the Fibonacci sequence. That is,\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eisfib(fib(n))\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e should return the value of\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\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\"},{\"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":60791,"title":"Sum of Even Fibonacci Numbers","description":"Description:\r\nThe Fibonacci sequence is defined as follows:F(1)=1,F(2)=1,F(n)=F(n−1)+F(n−2) for n\u003e2\r\nWrite a function that computes the sum of all even Fibonacci numbers that do not exceed a given number NNN.\r\nExample:\r\nFor N=10, the Fibonacci sequence up to 10 is:\r\n1,1,2,3,5,8\r\nThe even numbers are 2 and 8, and their sum is 10.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; 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: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 201px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 100.5px; transform-origin: 407px 100.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eDescription:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Fibonacci sequence is defined as follows:\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e−\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e+\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e−\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for \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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u0026gt;\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that computes the sum 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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eall even Fibonacci numbers\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that do not exceed a given number \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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e10, the Fibonacci sequence up to 10 is:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e3\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e5\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e8\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe even numbers are \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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e2 and 8\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and their sum is \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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e10\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: 0px 0px; transform-origin: 0px 0px; 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 sum_even_fib = even_fibonacci_sum(N)\r\n    % Write your code here\r\nend\r\n","test_suite":"%% Test 1: Basic Case\r\nx = 10;\r\ny_correct = 10; % (2 + 8)\r\nassert(isequal(even_fibonacci_sum(x), y_correct))\r\n\r\n%% Test 2: Larger N\r\nx = 34;\r\ny_correct = 44; % (2 + 8 + 34)\r\nassert(isequal(even_fibonacci_sum(x), y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":383919,"edited_by":383919,"edited_at":"2025-02-10T11:48:53.000Z","deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-02-10T11:47:18.000Z","updated_at":"2025-11-14T09:05:50.000Z","published_at":"2025-02-10T11:48:53.000Z","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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eDescription:\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\u003eThe Fibonacci sequence is defined as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\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:t\u003e1\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:t\u003e=\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e1\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:t\u003eF\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:t\u003e2\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:t\u003e=\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e1\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:t\u003eF\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:t\u003en\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:t\u003e=\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\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:t\u003en\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:t\u003e1\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:t\u003e+\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\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:t\u003en\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:t\u003e2\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:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that computes the sum of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eall even Fibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that do not exceed a given number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample:\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\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\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:t\u003e10, the Fibonacci sequence up to 10 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\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:t\u003e1\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:t\u003e2\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:t\u003e3\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:t\u003e5\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:t\u003e8\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\u003eThe even numbers are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2 and 8\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and their sum is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\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":45466,"title":"Fibonacci Word","description":" F1='0'\r\n\r\n F2='1'\r\nF3 is the catenation of the previous two. So,\r\n F3 = cat(F2,F1)='10'.\r\nsimilarly,\r\n F4 = cat(F3,F2)= '101'\r\nGiven a particular pattern p, find out how many times that pattern appears in the nth-fibonacci word.","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: 215.167px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 107.583px; transform-origin: 407px 107.583px; vertical-align: baseline; \"\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 30.65px; transform-origin: 404px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 28px 8.5px; tab-size: 4; transform-origin: 28px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 16px 8.5px; transform-origin: 16px 8.5px; \"\u003e F1=\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 12px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 12px 8.5px; \"\u003e'0'\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 8.5px; tab-size: 4; transform-origin: 0px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 28px 8.5px; tab-size: 4; transform-origin: 28px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 16px 8.5px; transform-origin: 16px 8.5px; \"\u003e F2=\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 12px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 12px 8.5px; \"\u003e'1'\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 138.5px 8px; transform-origin: 138.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF3 is the catenation of the previous two. So,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 88px 8.5px; tab-size: 4; transform-origin: 88px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 68px 8.5px; transform-origin: 68px 8.5px; \"\u003e F3 = cat(F2,F1)=\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 16px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 16px 8.5px; \"\u003e'10'\u003c/span\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 26.5px 8px; transform-origin: 26.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esimilarly,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 92px 8.5px; tab-size: 4; transform-origin: 92px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 72px 8.5px; transform-origin: 72px 8.5px; \"\u003e F4 = cat(F3,F2)= \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 20px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 20px 8.5px; \"\u003e'101'\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 313.5px 8px; transform-origin: 313.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a particular pattern p, find out how many times that pattern appears in the nth-fibonacci word.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function out=fibo(n,p)","test_suite":"%%\r\nassert(isequal(fibo(10,'10'),21))\r\n%%\r\nassert(isequal(fibo(15,'10101'),88))\r\n%%\r\nassert(isequal(fibo(15,'10001'),0))\r\n%%\r\nassert(isequal(fibo(6,'0'),3))\r\n%%\r\nassert(isequal(fibo(8,'11'),4))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":363598,"edited_by":223089,"edited_at":"2022-10-09T05:57:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":23,"test_suite_updated_at":"2022-10-09T05:57:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-04-18T17:20:58.000Z","updated_at":"2026-01-17T12:44:08.000Z","published_at":"2020-04-18T17:20:58.000Z","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=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ F1='0'\\n\\n F2='1']]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF3 is the catenation of the previous two. So,\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[ F3 = cat(F2,F1)='10'.]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esimilarly,\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[ F4 = cat(F3,F2)= '101']]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a particular pattern p, find out how many times that pattern appears in the nth-fibonacci word.\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":45339,"title":"XOR fibonacci","description":"a \u0026 b are the first two terms in the xor fibonacci sequence. Find the nth term of that sequence.\r\n\r\nXOR fib sequence is that in which any term is the xor of the previous two terms.","description_html":"\u003cp\u003ea \u0026 b are the first two terms in the xor fibonacci sequence. Find the nth term of that sequence.\u003c/p\u003e\u003cp\u003eXOR fib sequence is that in which any term is the xor of the previous two terms.\u003c/p\u003e","function_template":"function y = fib_xor(a,b,n)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(fib_xor(1,2,34),1))\r\n\r\n%%\r\nassert(isequal(fib_xor(123,22,57),109))\r\n\r\n%%\r\nassert(isequal(fib_xor(3,7,98),7))\r\n\r\n%%\r\nassert(isequal(fib_xor(3,7,1),3))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":22,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-17T07:46:31.000Z","updated_at":"2026-01-19T18:17:31.000Z","published_at":"2020-02-17T07:46:58.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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\u003ea \u0026amp; b are the first two terms in the xor fibonacci sequence. Find the nth term of that sequence.\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\u003eXOR fib sequence is that in which any term is the xor of the previous two terms.\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":45223,"title":"find nth even fibonacci number","description":"1st even fibonacci number=2 ; \r\n2nd even fibonacci number=8 ..","description_html":"\u003cp\u003e1st even fibonacci number=2 ; \r\n2nd even fibonacci number=8 ..\u003c/p\u003e","function_template":"function y = even_fib(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 1;\r\ny_correct = 2;\r\nassert(isequal(even_fib(n),y_correct))\r\n%%\r\nn = 3;\r\ny_correct = 34;\r\nassert(isequal(even_fib(n),y_correct))\r\n%%\r\nn = 10;\r\ny_correct = 832040;\r\nassert(isequal(even_fib(n),y_correct))\r\n%%\r\nn = 20;\r\ny_correct = 1548008755920;\r\nassert(isequal(even_fib(n),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":93,"test_suite_updated_at":"2019-12-04T11:48:11.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-12-04T11:45:17.000Z","updated_at":"2026-03-02T19:12:20.000Z","published_at":"2019-12-04T11:48:11.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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\u003e1st even fibonacci number=2 ; 2nd even fibonacci number=8 ..\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":2269,"title":"Create the following sequence     :   0 1 1  4 9 25 64 169 ...","description":"The sequence \r\n\r\n 0, 1, 1, 4, 9, 25, 64, 169, ...\r\n\r\nrepresents the square of the sequence of Fibonacci numbers.\r\n\r\nLet n represent the number of elements to display and let y represent the sequence of squares of Fibonacci numbers.\r\n\r\nExample\r\n\r\n n = 4\r\n y = [0 1 1 4]","description_html":"\u003cp\u003eThe sequence\u003c/p\u003e\u003cpre\u003e 0, 1, 1, 4, 9, 25, 64, 169, ...\u003c/pre\u003e\u003cp\u003erepresents the square of the sequence of Fibonacci numbers.\u003c/p\u003e\u003cp\u003eLet n represent the number of elements to display and let y represent the sequence of squares of Fibonacci numbers.\u003c/p\u003e\u003cp\u003eExample\u003c/p\u003e\u003cpre\u003e n = 4\r\n y = [0 1 1 4]\u003c/pre\u003e","function_template":"function y = fibo_sq(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 10;\r\ny_correct = [0 1 1 4 9 25 64 169 441 1156];\r\nassert(isequal(fibo_sq(n),y_correct))\r\n\r\n%%\r\nn = 1;\r\ny_correct = [0];\r\nassert(isequal(fibo_sq(n),y_correct))\r\n\r\n%%\r\nn = 3;\r\ny_correct = [0 1 1];\r\nassert(isequal(fibo_sq(n),y_correct))\r\n\r\n%%\r\nn = 4;\r\ny_correct = [0 1 1 4];\r\nassert(isequal(fibo_sq(n),y_correct))\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":3,"created_by":22816,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":204,"test_suite_updated_at":"2014-04-08T15:08:42.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-04-07T18:11:51.000Z","updated_at":"2026-03-31T10:41:31.000Z","published_at":"2014-04-07T18:19:01.000Z","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 sequence\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[ 0, 1, 1, 4, 9, 25, 64, 169, ...]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003erepresents the square of the sequence of Fibonacci numbers.\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\u003eLet n represent the number of elements to display and let y represent the sequence of squares of Fibonacci numbers.\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\u003eExample\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[ n = 4\\n y = [0 1 1 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":46090,"title":"Last Digit of fibonacci number","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; 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: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 108.92px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 54.46px; transform-origin: 406.5px 54.46px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 20.48px; 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 10.24px; text-align: left; transform-origin: 383.5px 10.24px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven a number n, find last digit of nth Fibonacci number\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.48px; 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 10.24px; text-align: left; transform-origin: 383.5px 10.24px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor example, for n=35,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.48px; 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 10.24px; text-align: left; transform-origin: 383.5px 10.24px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF(35) = 9227465\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.48px; 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 10.24px; text-align: left; transform-origin: 383.5px 10.24px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eso, ans=5.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = fib_last_digit(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(fib_last_digit(1),1))\r\n%%\r\nassert(isequal(fib_last_digit(10),5))\r\n%%\r\nassert(isequal(fib_last_digit(51),4))\r\n%%\r\nassert(isequal(fib_last_digit(136),7))\r\n%%\r\nassert(isequal(fib_last_digit(1122),6))\r\n%%\r\nassert(isequal(fib_last_digit(234567),8))\r\n%%\r\nassert(isequal(fib_last_digit(900999),6))\r\n%%\r\nassert(isequal(fib_last_digit(0),0))","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":28,"test_suite_updated_at":"2020-08-03T00:20:51.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-08-03T00:13:33.000Z","updated_at":"2025-12-31T12:17:42.000Z","published_at":"2020-08-03T00:20:51.000Z","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 a number n, find last digit of nth Fibonacci number\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\u003eFor example, for n=35,\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\u003eF(35) = 9227465\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\u003eso, ans=5.\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":52624,"title":"Determine whether a number is a fibodiv number","description":"The number 14 is a fibodiv number because you can divide it into 1 and 4, use those numbers as the seeds for a Fibonacci sequence, and find 14 later in the sequence: 1, 4, 5, 9, 14. The number 549 is also a fibodiv number because dividing it into 54 and 9 gives the sequence is 54, 9, 63, 72, 135, 207, 342, 549. \r\nWrite a function to determine whether the input is a fibodiv number. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 46.5px; transform-origin: 407px 46.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 381.975px 8.05px; transform-origin: 381.975px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe number 14 is a fibodiv number because you can divide it into 1 and 4, use those numbers as the seeds for a Fibonacci sequence, and find 14 later in the sequence: 1, 4, 5, 9, 14. The number 549 is also a fibodiv number because dividing it into 54 and 9 gives the sequence is 54, 9, 63, 72, 135, 207, 342, 549. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209.133px 8.05px; transform-origin: 209.133px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine whether the input is a fibodiv number. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function tf = isFibodiv(x)\r\n  tf = false\r\nend","test_suite":"%%\r\nassert(~isFibodiv(11))\r\n\r\n%%\r\nassert(isFibodiv(14))\r\n\r\n%%\r\nassert(isFibodiv(28))\r\n\r\n%%\r\nassert(~isFibodiv(191))\r\n\r\n%%\r\nassert(isFibodiv(199))\r\n\r\n%%\r\nassert(~isFibodiv(541))\r\n\r\n%%\r\nassert(isFibodiv(549))\r\n\r\n%%\r\nassert(~isFibodiv(1803))\r\n\r\n%%\r\nassert(isFibodiv(1822))\r\n\r\n%%\r\nassert(~isFibodiv(8198))\r\n\r\n%%\r\nassert(isFibodiv(8199))\r\n\r\n%%\r\nassert(isFibodiv(23418))\r\n\r\n%%\r\nassert(~isFibodiv(23456))\r\n\r\n%%\r\nassert(~isFibodiv(50014))\r\n\r\n%%\r\nassert(isFibodiv(50739))\r\n\r\n%%\r\nassert(isFibodiv(299998))\r\n\r\n%%\r\nassert(isFibodiv(889945))\r\n\r\n%%\r\nassert(~isFibodiv(1399999))\r\n\r\n%%\r\nassert(isFibodiv(1499999))\r\n\r\n%%\r\nassert(isFibodiv(54999966))\r\n\r\n%%\r\nassert(~isFibodiv(68528559))\r\n\r\n%%\r\nassert(isFibodiv(78545406))\r\n\r\n%%\r\nassert(isFibodiv(97499994))\r\n\r\n%% \r\nn = randi(45,1,randi(8));\r\nphi = (1+sqrt(5))/2;\r\nf = round(phi.^n/sqrt(5));\r\nassert(abs(sum(arrayfun(@isFibodiv,f))-besselj(randi(8),cos((2*randi(8)+1)*imag(log(-1))/2)))\u003ceps)\r\n\r\n%% Fibodiv magic square\r\nm = [74157 65050 71555; \r\n     67652 70254 72856;\r\n     68953 75458 66351];\r\nassert(isFibodiv(m(randi(9))))\r\n\r\n%%\r\nfiletext = fileread('isFibodiv.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || contains(filetext, 'oeis'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":4,"comments_count":3,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-08-26T04:40:10.000Z","updated_at":"2026-01-14T15:31:07.000Z","published_at":"2021-08-28T12:39:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe number 14 is a fibodiv number because you can divide it into 1 and 4, use those numbers as the seeds for a Fibonacci sequence, and find 14 later in the sequence: 1, 4, 5, 9, 14. The number 549 is also a fibodiv number because dividing it into 54 and 9 gives the sequence is 54, 9, 63, 72, 135, 207, 342, 549. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine whether the input is a fibodiv number. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":47058,"title":"Determine the Zeckendorf expansion of a number","description":null,"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: 135px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 67.5px; transform-origin: 407px 67.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; 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 42px; text-align: left; transform-origin: 384px 42px; 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: 14px 8.05px; transform-origin: 14px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Goldbach%27s_conjecture\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eGoldbach conjecture\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: 294.442px 8.05px; transform-origin: 294.442px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e deals with expressing integers as sums of primes. One might also seek to express integers as sums of other numbers, such as the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci numbers\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: 199.892px 8.05px; transform-origin: 199.892px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which begin 0, 1, 1, 2, 3, 5, 8, 13, 21... For example, 26 can be written as 13+8+5 or 21+3+2. \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Zeckendorf%27s_theorem\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eZeckendorf\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: 255.608px 8.05px; transform-origin: 255.608px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (and Lekkerkerker before him) showed that every positive integer can be uniquely expressed as the sum 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: 50.9667px 8.05px; transform-origin: 50.9667px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003enon-consecutive\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: 196.242px 8.05px; transform-origin: 196.242px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Fibonacci numbers. The Zeckendorf expansion for 26 is 21+5. \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: 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: 372.5px 8.05px; transform-origin: 372.5px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the Zeckendorf expansion of the input number. In particular, output in decreasing order the Fibonacci numbers to be used in the sum.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = Zeckendorf(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 26;\r\ny_correct = [21 5];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 26;\r\ny_correct = [21 5];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 88;\r\ny_correct = [55 21 8 3 1];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 965;\r\ny_correct = [610 233 89 21 8 3 1];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 4180;\r\ny_correct = [2584 987 377 144 55 21 8 3 1];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 75024;\r\ny_correct = [46368 17711 6765 2584 987 377 144 55 21 8 3 1];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 514228;\r\ny_correct = [317811 121393 46368 17711 6765 2584 987 377 144 55 21 8 3 1];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 514229;\r\ny_correct = 514229;\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 8675309;\r\ny_correct = [5702887 2178309 514229 196418 75025 6765 1597 55 21 3];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 2022243254;\r\ny_correct = [1836311903 165580141 14930352 3524578 1346269 514229 28657 6765 233 89 34 3 1];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 314159265358;\r\ny_correct = [225851433717 86267571272 1836311903 165580141 24157817 9227465 3524578 1346269 75025 28657 6765 1597 144 8];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":14,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-24T08:38:37.000Z","updated_at":"2020-10-24T09:11:46.000Z","published_at":"2020-10-24T09:11:46.000Z","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\u003eThe \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Goldbach%27s_conjecture\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eGoldbach conjecture\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e deals with expressing integers as sums of primes. One might also seek to express integers as sums of other numbers, such as the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, which begin 0, 1, 1, 2, 3, 5, 8, 13, 21... For example, 26 can be written as 13+8+5 or 21+3+2. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Zeckendorf%27s_theorem\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eZeckendorf\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e (and Lekkerkerker before him) showed that every positive integer can be uniquely expressed as the sum of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enon-consecutive\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Fibonacci numbers. The Zeckendorf expansion for 26 is 21+5. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the Zeckendorf expansion of the input number. In particular, output in decreasing order the Fibonacci numbers to be used in the sum.\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":44836,"title":"Iccanobif numbers 1","description":"There are a lot of problems in Cody that deal with Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, 21 etc...) so let's turn things around a bit.  Literally.  This problem deals with the Iccanobif sequence.  Instead of adding the previous two numbers in the sequence, reverse the digits of the previous two numbers and add those together to get the next number in the sequence.\r\n\r\nIt starts out exactly the same as the Fibonacci (1, 1, 2, 3, 5, 8, 13) as all of the one digit numbers equal themselves when reversed.  However, instead of 8+13=21 for the next term, reverse the digits in 13 to get 31. The next term is now 8+31, or 39.  The next term after that is 31+93 (13 and 39 reversed) to get 124, and so on.  Unlike the starndard Fibonacci sequence, the Iccanobif sequence can actually decrease in value between terms.\r\n\r\nYou will be given a number, and you will be asked to calculate that term in the Iccanobif sequence.\r\n\r\n!Kcul doog","description_html":"\u003cp\u003eThere are a lot of problems in Cody that deal with Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, 21 etc...) so let's turn things around a bit.  Literally.  This problem deals with the Iccanobif sequence.  Instead of adding the previous two numbers in the sequence, reverse the digits of the previous two numbers and add those together to get the next number in the sequence.\u003c/p\u003e\u003cp\u003eIt starts out exactly the same as the Fibonacci (1, 1, 2, 3, 5, 8, 13) as all of the one digit numbers equal themselves when reversed.  However, instead of 8+13=21 for the next term, reverse the digits in 13 to get 31. The next term is now 8+31, or 39.  The next term after that is 31+93 (13 and 39 reversed) to get 124, and so on.  Unlike the starndard Fibonacci sequence, the Iccanobif sequence can actually decrease in value between terms.\u003c/p\u003e\u003cp\u003eYou will be given a number, and you will be asked to calculate that term in the Iccanobif sequence.\u003c/p\u003e\u003cp\u003e!Kcul doog\u003c/p\u003e","function_template":"function y = iccanobif(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;y_correct = 1;\r\nassert(isequal(iccanobif(x),y_correct))\r\n%%\r\nx = 9;y_correct = 124;\r\nassert(isequal(iccanobif(x),y_correct))\r\n%%\r\nx = 43;y_correct=36181429034;\r\nassert(isequal(iccanobif(x),y_correct))\r\n%%\r\nfor flag=1:50\r\n    y(flag)=iccanobif(flag);\r\nend\r\ndy=diff(y);\r\nassert(isequal(max(dy(1:25))+min(dy(1:25)),250750))\r\nassert(isequal(max(dy)+min(dy),19910139546138))\r\nsdy=sign(dy);\r\nassert(isequal(sum(sdy==-1),8))\r\n[m1,w1]=min(y(1:10));\r\n[m2,w2]=min(y(11:20));\r\n[m3,w3]=min(y(21:30));\r\n[m4,w4]=min(y(31:40));\r\n[m5,w5]=min(y(41:50));\r\nassert(isequal([m1 m2 m3 m4 m5],[1 836 113815 106496242 21807674140]))\r\nassert(isequal(w1*w2*w3*w4*w5,15))","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":1615,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":66,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":61,"created_at":"2019-01-18T13:40:37.000Z","updated_at":"2026-04-01T15:09:11.000Z","published_at":"2019-01-18T13:40:37.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThere are a lot of problems in Cody that deal with Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, 21 etc...) so let's turn things around a bit. Literally. This problem deals with the Iccanobif sequence. Instead of adding the previous two numbers in the sequence, reverse the digits of the previous two numbers and add those together to get the next number in the sequence.\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\u003eIt starts out exactly the same as the Fibonacci (1, 1, 2, 3, 5, 8, 13) as all of the one digit numbers equal themselves when reversed. However, instead of 8+13=21 for the next term, reverse the digits in 13 to get 31. The next term is now 8+31, or 39. The next term after that is 31+93 (13 and 39 reversed) to get 124, and so on. Unlike the starndard Fibonacci sequence, the Iccanobif sequence can actually decrease in value between terms.\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\u003eYou will be given a number, and you will be asked to calculate that term in the Iccanobif sequence.\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\u003e!Kcul doog\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":45234,"title":"Calculating large fibonacci numbers","description":"The fibonacci sequence starts 1,1,2,3,5,8...\r\n\r\nFind the the n'th fibonacci number. Then calculate round(log10( . )) of that n'th fibonacci number. ","description_html":"\u003cp\u003eThe fibonacci sequence starts 1,1,2,3,5,8...\u003c/p\u003e\u003cp\u003eFind the the n'th fibonacci number. Then calculate round(log10( . )) of that n'th fibonacci number.\u003c/p\u003e","function_template":"function y = your_fcn_name(n)\r\n  y = n;\r\nend","test_suite":"%%\r\nx = 100;\r\ny_correct = 21;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 140;\r\ny_correct = 29;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 200;\r\ny_correct = 41;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 300;\r\ny_correct = 62;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 400;\r\ny_correct = 83;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\n\r\nx = 500;\r\ny_correct = 104;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\n\r\nx = 1000;\r\ny_correct = 209;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 1100;\r\ny_correct = 230;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 1100;\r\ny_correct = 230;\r\ntic\r\nassert(isequal(your_fcn_name(x),y_correct))\r\ntime = toc\r\nassert(time \u003c .01)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":65480,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":26,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2019-12-14T00:30:26.000Z","updated_at":"2019-12-14T00:30:26.000Z","published_at":"2019-12-14T00:30:26.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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 fibonacci sequence starts 1,1,2,3,5,8...\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\u003eFind the the n'th fibonacci number. Then calculate round(log10( . )) of that n'th fibonacci number.\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":44628,"title":"The other half of the Fibonacci sequence","description":"The \u003chttp://mathworld.wolfram.com/FibonacciNumber.html \"Fibonacci sequence\"\u003e — \r\nF = [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, ...] — appeared in Indian mathematical expositions from _circa_ 700 CE or earlier, and in the writings of Leonardo of Pisa (a.k.a. \"Fibonacci\") _circa_ 1202 CE. \r\n\r\nThis sequence can be defined by \r\n\r\n*F(n+2) = F(n+1) + F(n)*\r\n\r\nin which F(1) = 1, F(2) = 1, F(3) = 2, ....\r\n\r\nLater in history, it was recognised that F(0) = 0.  Of course, this still satisfies the formula in bold above [for n=0]:  F(2) = F(1) + F(0).  \r\n\r\nYour job in this Cody Problem is to 'create history'(?) by extending this sequence to _negative values of n_, to discover the missing half of this sequence!\r\n\r\nEXAMPLE:\r\n\r\nIf n=-1, then F(-1) must be 1, to ensure that F(1) = F(0) + F(-1) — thus satisfying the formula in bold above.\r\n\r\nYou are only required to provide outputs for n \u003c 3 that can be represented by an \u003chttps://au.mathworks.com/help/matlab/ref/int64.html |int64|\u003e \u003chttps://au.mathworks.com/help/matlab/numeric-types.html data type\u003e.  To enforce this, your output needs to be of this data type.  ","description_html":"\u003cp\u003eThe \u003ca href = \"http://mathworld.wolfram.com/FibonacciNumber.html\"\u003e\"Fibonacci sequence\"\u003c/a\u003e — \r\nF = [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, ...] — appeared in Indian mathematical expositions from \u003ci\u003ecirca\u003c/i\u003e 700 CE or earlier, and in the writings of Leonardo of Pisa (a.k.a. \"Fibonacci\") \u003ci\u003ecirca\u003c/i\u003e 1202 CE.\u003c/p\u003e\u003cp\u003eThis sequence can be defined by\u003c/p\u003e\u003cp\u003e\u003cb\u003eF(n+2) = F(n+1) + F(n)\u003c/b\u003e\u003c/p\u003e\u003cp\u003ein which F(1) = 1, F(2) = 1, F(3) = 2, ....\u003c/p\u003e\u003cp\u003eLater in history, it was recognised that F(0) = 0.  Of course, this still satisfies the formula in bold above [for n=0]:  F(2) = F(1) + F(0).\u003c/p\u003e\u003cp\u003eYour job in this Cody Problem is to 'create history'(?) by extending this sequence to \u003ci\u003enegative values of n\u003c/i\u003e, to discover the missing half of this sequence!\u003c/p\u003e\u003cp\u003eEXAMPLE:\u003c/p\u003e\u003cp\u003eIf n=-1, then F(-1) must be 1, to ensure that F(1) = F(0) + F(-1) — thus satisfying the formula in bold above.\u003c/p\u003e\u003cp\u003eYou are only required to provide outputs for n \u0026lt; 3 that can be represented by an \u003ca href = \"https://au.mathworks.com/help/matlab/ref/int64.html\"\u003e\u003ctt\u003eint64\u003c/tt\u003e\u003c/a\u003e \u003ca href = \"https://au.mathworks.com/help/matlab/numeric-types.html\"\u003edata type\u003c/a\u003e.  To enforce this, your output needs to be of this data type.\u003c/p\u003e","function_template":"% This was my logic:  ...\r\nfunction F = negativeRabbits(n)\r\n    % Here's how I implemented that conceptual logic in code:\r\n    n = F\r\nend","test_suite":"%% Ban str2num \u0026 str2double;  regexp \u0026 regexpi\r\n% Banning these to discourage hard-coded answers and silly 'scoring cheats'.  Sorry if it disrupts some legitimate usage.  \r\n% Please don't try any other hacks or workarounds.  \r\nassessFunctionAbsence({'str2num','str2double','regexp', 'regexpi'}, 'FileName','negativeRabbits.m');\r\nFR = fileread('negativeRabbits.m');\r\nmsg = 'Don''t hard-code your ''solution''.';\r\nassert( ~any( cellfun( @(z) contains(FR, z) , {'54800875592', '716768017756', '9845401187926'} ) ) , msg )\r\n\r\n%% Ban \"ans\" and a few hard-coded values (digits stripped)\r\n% I don't think it's very good style to be using \"ans\". \r\nRE = regexp(fileread('negativeRabbits.m'), '\\w+', 'match');\r\ntabooWords = {'ans'};\r\ntestResult = cellfun( @(z) ismember(z, tabooWords), RE );\r\nmsg = ['Please do not include the following banned strings in your code!' char([10 13]) ...\r\n    strjoin(RE(testResult)) char([10 13])];\r\nassert(~any(  cellfun( @(z) ismember(z, tabooWords), RE )  ), msg)\r\n\r\n%% Check data type\r\n% This is important.\r\nassert( isequal( class(negativeRabbits(0)) , 'int64' ) , 'Wrong data type.')\r\n\r\n%% Initial conditions and other such key values.  \r\n% Test Suite shall ensure it only ever checks n \u003c 3.  \r\nassert( isequal(negativeRabbits(+2), 1) , 'Failed at n =+2.' )\r\nassert( isequal(negativeRabbits(+1), 1) , 'Failed at n =+1.' )\r\nassert( isequal(negativeRabbits( 0), 0) , 'Failed at n = 0.' )\r\nassert( isequal(negativeRabbits(-1), 1) , 'Failed at n =-1.' )\r\n\r\n%% Terms from 0 down to -10\r\nfor n = 0 : -1 : -10\r\n    assert( isequal(negativeRabbits(n)+negativeRabbits(n+1), negativeRabbits(n+2)) , ['Failed at n =' num2str(n) '.'])\r\nend;\r\n\r\n%% Terms from -10 down to -20\r\nfor n = -10 : -1 : -20\r\n    assert( isequal(negativeRabbits(n)+negativeRabbits(n+1), negativeRabbits(n+2)) , ['Failed at n =' num2str(n) '.'])\r\nend;\r\n\r\n%% Terms from -20 down to -40\r\nfor n = -20 : -1 : -40\r\n    assert( isequal(negativeRabbits(n)+negativeRabbits(n+1), negativeRabbits(n+2)) , ['Failed at n =' num2str(n) '.'])\r\nend;\r\n\r\n%% Terms from -40 down to -77\r\nfor n = -40 : -1 : -77\r\n    assert( isequal(negativeRabbits(n)+negativeRabbits(n+1), negativeRabbits(n+2)) , ['Failed at n =' num2str(n) '.'])\r\nend;\r\n\r\n%% Terms from -77 down to -92\r\n% This is difficult, but feasible within the parameters of the problem.  \r\nfor n = -77 : -1 : -92\r\n    assert( isequal(negativeRabbits(n)+negativeRabbits(n+1), negativeRabbits(n+2)) , ['Failed at n =' num2str(n) '.'])\r\nend;\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":64439,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":"2018-05-03T02:41:36.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2018-04-28T14:33:34.000Z","updated_at":"2026-02-21T13:17:20.000Z","published_at":"2018-04-28T16:25:02.000Z","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\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://mathworld.wolfram.com/FibonacciNumber.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\\\"Fibonacci sequence\\\"\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e — F = [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, ...] — appeared in Indian mathematical expositions from\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\u003ecirca\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e 700 CE or earlier, and in the writings of Leonardo of Pisa (a.k.a. \\\"Fibonacci\\\")\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\u003ecirca\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e 1202 CE.\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 sequence can be defined by\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF(n+2) = F(n+1) + F(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\u003ein which F(1) = 1, F(2) = 1, F(3) = 2, ....\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eLater in history, it was recognised that F(0) = 0. Of course, this still satisfies the formula in bold above [for n=0]: F(2) = F(1) + F(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\u003eYour job in this Cody Problem is to 'create history'(?) by extending this sequence to\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\u003enegative values of n\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, to discover the missing half of this sequence!\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\u003eEXAMPLE:\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\u003eIf n=-1, then F(-1) must be 1, to ensure that F(1) = F(0) + F(-1) — thus satisfying the formula in bold above.\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\u003eYou are only required to provide outputs for n \u0026lt; 3 that can be represented by an\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://au.mathworks.com/help/matlab/ref/int64.html\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eint64\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\u003cw:hyperlink w:docLocation=\\\"https://au.mathworks.com/help/matlab/numeric-types.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003edata type\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. To enforce this, your output needs to be of this data type.\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":1946,"title":"Fibonacci-Sum of Squares","description":"Given the Fibonacci sequence defined by the following recursive relation,\r\n\r\n* F(n) = F(n-1) + F(n-2)\r\n* where F(1) = 1 and F(1) = 1\r\n\r\ndetermine the sum of squares for the first \"n\" terms.\r\n\r\nFor example, n=5 --\u003e 1^2 + 1^2 + 2^2 + 3^2 + 5^2 = 40.\r\n\r\n* INPUT  n=5\r\n* OUTPUT S=40\r\n\r\n","description_html":"\u003cp\u003eGiven the Fibonacci sequence defined by the following recursive relation,\u003c/p\u003e\u003cul\u003e\u003cli\u003eF(n) = F(n-1) + F(n-2)\u003c/li\u003e\u003cli\u003ewhere F(1) = 1 and F(1) = 1\u003c/li\u003e\u003c/ul\u003e\u003cp\u003edetermine the sum of squares for the first \"n\" terms.\u003c/p\u003e\u003cp\u003eFor example, n=5 --\u0026gt; 1^2 + 1^2 + 2^2 + 3^2 + 5^2 = 40.\u003c/p\u003e\u003cul\u003e\u003cli\u003eINPUT  n=5\u003c/li\u003e\u003cli\u003eOUTPUT S=40\u003c/li\u003e\u003c/ul\u003e","function_template":"function S = FibSumSquares(n)\r\n  S = n;\r\nend","test_suite":"%%\r\nn = 5;\r\nS = 40;\r\nassert(isequal(FibSumSquares(n),S))\r\n\r\n%%\r\nn = 8;\r\nS = 714;\r\nassert(isequal(FibSumSquares(n),S))\r\n\r\n%%\r\nn = 11;\r\nS = 12816;\r\nassert(isequal(FibSumSquares(n),S))\r\n\r\n%%\r\nn = 15;\r\nS = 602070;\r\nassert(isequal(FibSumSquares(n),S))\r\n\r\n%%\r\nn = 21;\r\nS = 193864606;\r\nassert(isequal(FibSumSquares(n),S))\r\n\r\n%%\r\nn = 26;\r\nS = 23843770274;\r\nassert(isequal(FibSumSquares(n),S))","published":true,"deleted":false,"likes_count":10,"comments_count":4,"created_by":18441,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1716,"test_suite_updated_at":"2017-05-23T15:39:51.000Z","rescore_all_solutions":false,"group_id":122,"created_at":"2013-10-19T23:17:50.000Z","updated_at":"2026-04-07T12:00:19.000Z","published_at":"2013-10-19T23:37:18.000Z","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 the Fibonacci sequence defined by the following recursive relation,\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\u003eF(n) = F(n-1) + F(n-2)\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\u003ewhere F(1) = 1 and F(1) = 1\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\u003edetermine the sum of squares for the first \\\"n\\\" terms.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, n=5 --\u0026gt; 1^2 + 1^2 + 2^2 + 3^2 + 5^2 = 40.\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\u003eINPUT n=5\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\u003eOUTPUT S=40\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":52594,"title":"Easy Sequences 10: Sum of Cumsums of Fibonacci Sequence","description":"The function F(n) is defined as the set of Fibonacci numbers from the first up to the n-th. S(n) is the result of applying to F, the MATLAB built-in function 'cumsum' and followed by the function 'sum'. For example for n = 10, we have:\r\n  \u003e\u003e Fn = [1 1 2 3 5 8 13 21 34 55];\r\n  \u003e\u003e Sn = sum(cumsum(Fn))\r\n  \u003e\u003e Sn =\r\n     364\r\nIt has been argued that the Fibonacci sequence exhibits an exponentially growth relative to the golden ratio, which means that S(n) becomes very big, very quickly. So instead, we will do the inverse operation. \r\nGiven a number 's', our task is to find the largest 'n', such that S(n) is less than or equal to 's'. In the example above we have, 'n = 10' for 's = 364' . ","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: 236.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 118.367px; transform-origin: 407px 118.367px; 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: 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: 130.5px 8px; transform-origin: 130.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe function F(n) is defined as the set of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci numbers\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: 188.5px 8px; transform-origin: 188.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from the first up to the n-th. S(n) is the result of applying to F, the MATLAB built-in function 'cumsum' and followed by the function 'sum'. For example for n = 10, we have:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 40.8667px; transform-origin: 404px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 144px 8.5px; tab-size: 4; transform-origin: 144px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; Fn = [1 1 2 3 5 8 13 21 34 55];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 100px 8.5px; tab-size: 4; transform-origin: 100px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; Sn = sum(cumsum(Fn))\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 36px 8.5px; tab-size: 4; transform-origin: 36px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; Sn =\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 32px 8.5px; tab-size: 4; transform-origin: 32px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     364\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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 8px; transform-origin: 383.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt has been argued that the Fibonacci sequence exhibits an exponentially growth relative to the golden ratio, which means that S(n) becomes very big, very quickly. So instead, we will do the inverse operation.\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \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: 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: 327px 8px; transform-origin: 327px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven a number 's', our task is to find the largest 'n', such that S(n) is less than or equal to 's'. \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: 47.5px 8px; transform-origin: 47.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn the example above we have,\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \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: 68px 8px; transform-origin: 68px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e'n = 10' for 's = 364' . \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = N(s)\r\n    n = inv_cumsum(inv_sum(s));\r\nend","test_suite":"%%\r\ns = 364;\r\nn_correct = 10;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = 2000;\r\nn_correct = 13;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = 5000:100:10000;\r\nn_correct = 798;\r\nn_answer = sum(arrayfun(@(i) N(i),s));\r\nassert(isequal(n_answer,n_correct))\r\n%%\r\ns = intmax;\r\nn_correct = 42;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = 10^10;\r\nn_correct = 45;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = intmax('uint64');\r\nn_correct = 89;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = realmax/10;\r\nn_correct = 1467;\r\nassert(isequal(N(s),n_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":49,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-08-23T07:31:32.000Z","updated_at":"2025-12-16T04:43:30.000Z","published_at":"2021-08-23T12:03:43.000Z","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\u003eThe function F(n) is defined as the set of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e from the first up to the n-th. S(n) is the result of applying to F, the MATLAB built-in function 'cumsum' and followed by the function 'sum'. For example for n = 10, we have:\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 Fn = [1 1 2 3 5 8 13 21 34 55];\\n  \u003e\u003e Sn = sum(cumsum(Fn))\\n  \u003e\u003e Sn =\\n     364]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIt has been argued that the Fibonacci sequence exhibits an exponentially growth relative to the golden ratio, which means that S(n) becomes very big, very quickly. So instead, we will do the inverse operation.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a number 's', our task is to find the largest 'n', such that S(n) is less than or equal to 's'. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eIn the example above we have,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e'n = 10' for 's = 364' . \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":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":1507,"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":"2026-03-22T08:21:13.000Z","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":44311,"title":"Number of Even Elements in Fibonacci Sequence","description":"Find how many even Fibonacci numbers are available in the first d numbers.\r\n\r\nConsider the following first 14 numbers\r\n\r\n  1 1 2 3 5 8 13 21 34 55 89 144 233 377 ...\r\n\r\n4 of them are even. ","description_html":"\u003cp\u003eFind how many even Fibonacci numbers are available in the first d numbers.\u003c/p\u003e\u003cp\u003eConsider the following first 14 numbers\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e1 1 2 3 5 8 13 21 34 55 89 144 233 377 ...\r\n\u003c/pre\u003e\u003cp\u003e4 of them are even.\u003c/p\u003e","function_template":"function y = evenFibo(d)\r\n  y = x;\r\nend","test_suite":"%%\r\nd = 14;\r\ny_correct = 4;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 20;\r\ny_correct = 6;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 50;\r\ny_correct = 16;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 100;\r\ny_correct = 33;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 150;\r\ny_correct = 50;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 200;\r\ny_correct = 66;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 500;\r\ny_correct = 166;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 1000;\r\ny_correct = 333;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 1e4;\r\ny_correct = 3333;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 2e4;\r\ny_correct = 6666;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 3e5;\r\ny_correct = 1e5;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 6e6;\r\ny_correct = 2e6;\r\nassert(isequal(evenFibo(d),y_correct))\r\n% \r\n% %%\r\n% d = 9223372036854775807;\r\n% y_correct = 3074457345618258432;\r\n% assert(isequal(evenFibo(d),y_correct))\r\n","published":true,"deleted":false,"likes_count":21,"comments_count":9,"created_by":8703,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1640,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":35,"created_at":"2017-09-11T12:36:15.000Z","updated_at":"2026-03-31T16:31:07.000Z","published_at":"2017-10-16T01:50:58.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind how many even Fibonacci numbers are available in the first d numbers.\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\u003eConsider the following first 14 numbers\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[1 1 2 3 5 8 13 21 34 55 89 144 233 377 ...]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e4 of them are even.\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":47063,"title":"Fibonacci Weights ↧ ↧ ↧↧ ↧↧↧ ↧↧↧↧↧","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; 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: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 111.84px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.493px 55.9201px; transform-origin: 406.493px 55.9201px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 55.5556px; border-block-end-color: rgb(213, 80, 0); border-block-start-color: rgb(213, 80, 0); border-bottom-color: rgb(213, 80, 0); border-inline-end-color: rgb(213, 80, 0); border-inline-start-color: rgb(213, 80, 0); border-left-color: rgb(213, 80, 0); border-right-color: rgb(213, 80, 0); border-top-color: rgb(213, 80, 0); caret-color: rgb(213, 80, 0); color: rgb(213, 80, 0); column-rule-color: rgb(213, 80, 0); font-family: Helvetica, Arial, sans-serif; font-size: 24px; line-height: 28.8px; margin-block-end: 5px; margin-block-start: 3px; margin-bottom: 5px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 3px; outline-color: rgb(213, 80, 0); perspective-origin: 383.49px 27.7778px; text-align: left; text-decoration: none; text-decoration-color: rgb(213, 80, 0); transform-origin: 383.498px 27.7778px; white-space: pre-wrap; margin-left: 4px; margin-top: 3px; margin-bottom: 5px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eExpress \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://in.mathworks.com/matlabcentral/cody/problems/47058-determine-the-zeckendorf-expansion-of-a-number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eZeckendorf\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e expansion for a number as series of binary digits, with fibonacci numbers as respective weights.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.1458px; 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: 383.49px 10.5729px; text-align: left; transform-origin: 383.498px 10.5729px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"90.5\" height=\"19.5\" style=\"width: 90.5px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.1458px; 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: 383.49px 10.5729px; text-align: left; transform-origin: 383.498px 10.5729px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"90.5\" height=\"19.5\" alt=\"/\" style=\"width: 90.5px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = fZ(n)\r\n  y = max_fib(n);\r\n  y = y-n;\r\n  ...\r\nend","test_suite":"%%\r\nn = 63;\r\ny_correct = [1 0 0 0 1 0 0 0 0];\r\nassert(isequal(fZ(n),y_correct))\r\n\r\n%%\r\nn = 263;\r\ny_correct = [1 0 0 0 0 1 0 1 0 0 0 1];\r\nassert(isequal(fZ(n),y_correct))\r\n\r\n%%\r\nn=999999999999;\r\ny_correct = [1\t0\t0\t0\t0\t0\t0\t1\t0\t0\t1\t0\t0\t1\t0\t1\t0\t0\t0\t0\t0\t0\t0\t0\t1\t0\t0\t0\t0\t1\t0\t0\t0\t1\t0\t1\t0\t0\t0\t0\t0\t1\t0\t1\t0\t0\t1\t0\t1\t0\t0\t0\t1\t0\t0\t0\t1\t0];\r\nassert(isequal(fZ(n),y_correct))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":633508,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":"2020-10-29T01:34:56.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2020-10-24T17:32:26.000Z","updated_at":"2025-11-19T02:08:53.000Z","published_at":"2020-10-24T17:32:26.000Z","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=\\\"title\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExpress \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://in.mathworks.com/matlabcentral/cody/problems/47058-determine-the-zeckendorf-expansion-of-a-number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eZeckendorf\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e expansion for a number as series of binary digits, with fibonacci numbers as respective weights.\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:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef_z(8)=10000;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"/\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef_z(9)=10010;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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":12,"title":"Fibonacci sequence","description":"Calculate the nth Fibonacci number.\r\nGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\r\nExamples:\r\n Input  n = 5\r\n Output f is 5\r\n\r\n Input  n = 7\r\n Output f is 13","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: 181px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 468.5px 90.5px; transform-origin: 468.5px 90.5px; vertical-align: baseline; \"\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 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: 111.642px 8px; transform-origin: 111.642px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the nth Fibonacci number.\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 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: 199.117px 8px; transform-origin: 199.117px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 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: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExamples:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 90px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 464.5px 45px; transform-origin: 464.5px 45px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; line-height: 18px; 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; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 464.5px 9px; text-wrap-mode: nowrap; transform-origin: 464.5px 9px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(33, 33, 33); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(33, 33, 33); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(33, 33, 33); border-left-style: none; border-left-width: 0px; border-right-color: rgb(33, 33, 33); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 50.05px 8.5px; tab-size: 4; transform-origin: 50.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 30.8px 8.5px; transform-origin: 30.8px 8.5px; \"\u003e Input  \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(133, 22, 209); border-block-start-color: rgb(133, 22, 209); border-bottom-color: rgb(133, 22, 209); border-inline-end-color: rgb(133, 22, 209); border-inline-start-color: rgb(133, 22, 209); border-left-color: rgb(133, 22, 209); border-right-color: rgb(133, 22, 209); border-top-color: rgb(133, 22, 209); caret-color: rgb(133, 22, 209); color: rgb(133, 22, 209); column-rule-color: rgb(133, 22, 209); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(133, 22, 209); perspective-origin: 19.25px 8.5px; text-decoration-color: rgb(133, 22, 209); text-emphasis-color: rgb(133, 22, 209); transform-origin: 19.25px 8.5px; \"\u003en = 5\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; line-height: 18px; 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; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 464.5px 9px; text-wrap-mode: nowrap; transform-origin: 464.5px 9px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(33, 33, 33); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(33, 33, 33); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(33, 33, 33); border-left-style: none; border-left-width: 0px; border-right-color: rgb(33, 33, 33); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 30.8px 8.5px; transform-origin: 30.8px 8.5px; \"\u003e Output \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(133, 22, 209); border-block-start-color: rgb(133, 22, 209); border-bottom-color: rgb(133, 22, 209); border-inline-end-color: rgb(133, 22, 209); border-inline-start-color: rgb(133, 22, 209); border-left-color: rgb(133, 22, 209); border-right-color: rgb(133, 22, 209); border-top-color: rgb(133, 22, 209); caret-color: rgb(133, 22, 209); color: rgb(133, 22, 209); column-rule-color: rgb(133, 22, 209); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(133, 22, 209); perspective-origin: 23.1px 8.5px; text-decoration-color: rgb(133, 22, 209); text-emphasis-color: rgb(133, 22, 209); transform-origin: 23.1px 8.5px; \"\u003ef is 5\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; line-height: 18px; 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; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 464.5px 9px; text-wrap-mode: nowrap; transform-origin: 464.5px 9px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(33, 33, 33); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(33, 33, 33); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(33, 33, 33); border-left-style: none; border-left-width: 0px; border-right-color: rgb(33, 33, 33); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 8.5px; tab-size: 4; transform-origin: 0px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; line-height: 18px; 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; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 464.5px 9px; text-wrap-mode: nowrap; transform-origin: 464.5px 9px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(33, 33, 33); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(33, 33, 33); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(33, 33, 33); border-left-style: none; border-left-width: 0px; border-right-color: rgb(33, 33, 33); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 50.05px 8.5px; tab-size: 4; transform-origin: 50.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 30.8px 8.5px; transform-origin: 30.8px 8.5px; \"\u003e Input  \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(133, 22, 209); border-block-start-color: rgb(133, 22, 209); border-bottom-color: rgb(133, 22, 209); border-inline-end-color: rgb(133, 22, 209); border-inline-start-color: rgb(133, 22, 209); border-left-color: rgb(133, 22, 209); border-right-color: rgb(133, 22, 209); border-top-color: rgb(133, 22, 209); caret-color: rgb(133, 22, 209); color: rgb(133, 22, 209); column-rule-color: rgb(133, 22, 209); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(133, 22, 209); perspective-origin: 19.25px 8.5px; text-decoration-color: rgb(133, 22, 209); text-emphasis-color: rgb(133, 22, 209); transform-origin: 19.25px 8.5px; \"\u003en = 7\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; line-height: 18px; 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; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 464.5px 9px; text-wrap-mode: nowrap; transform-origin: 464.5px 9px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(33, 33, 33); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(33, 33, 33); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(33, 33, 33); border-left-style: none; border-left-width: 0px; border-right-color: rgb(33, 33, 33); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 57.75px 8.5px; tab-size: 4; transform-origin: 57.75px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 30.8px 8.5px; transform-origin: 30.8px 8.5px; \"\u003e Output \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(133, 22, 209); border-block-start-color: rgb(133, 22, 209); border-bottom-color: rgb(133, 22, 209); border-inline-end-color: rgb(133, 22, 209); border-inline-start-color: rgb(133, 22, 209); border-left-color: rgb(133, 22, 209); border-right-color: rgb(133, 22, 209); border-top-color: rgb(133, 22, 209); caret-color: rgb(133, 22, 209); color: rgb(133, 22, 209); column-rule-color: rgb(133, 22, 209); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(133, 22, 209); perspective-origin: 26.95px 8.5px; text-decoration-color: rgb(133, 22, 209); text-emphasis-color: rgb(133, 22, 209); transform-origin: 26.95px 8.5px; \"\u003ef is 13\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function f = fib(n)\r\n  f = n;\r\nend","test_suite":"%%\r\nfiletext = fileread('fib.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'assert') || ...\r\n          contains(filetext, 'switch') || contains(filetext, 'elseif') || ...\r\n          contains(filetext, '610')     || contains(filetext, '1597');\r\nassert(~illegal)\r\n\r\n%%\r\nn = 1;\r\nf = 1;\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 6;\r\nf = 8;\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 7;\r\nf = 13;\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 10;\r\nf = 55;\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 12;\r\nf = 144;\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 15;\r\nf = 610;\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 17;\r\nf = 1597;\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 20;\r\nf = 6765;\r\nassert(isequal(fib(n),f))","published":true,"deleted":false,"likes_count":108,"comments_count":25,"created_by":1,"edited_by":223089,"edited_at":"2026-02-05T13:22:21.000Z","deleted_by":null,"deleted_at":null,"solvers_count":14137,"test_suite_updated_at":"2026-02-05T13:22:22.000Z","rescore_all_solutions":false,"group_id":2,"created_at":"2012-01-18T01:00:18.000Z","updated_at":"2026-04-08T04:47:16.000Z","published_at":"2012-01-18T01:00:18.000Z","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\u003eCalculate the nth Fibonacci number.\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\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples:\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[ Input  n = 5\\n Output f is 5\\n\\n Input  n = 7\\n Output f is 13]]\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":56393,"title":"Easy Sequences 77: Powers of Fibonacci Numbers","description":"Given integers  and , we are asked to evaluate the following function: . That is,  equals  raised to the power of the -th Fibonacci number. We define  as follows:  and  for .\r\n        Example:     .\r\nPlease reduce the output, modulo .\r\n------------------------\r\nHINT: One solution is already shown, however java math is not allowed.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 172px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 86px; transform-origin: 407px 86px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 47px; 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 23.5px; text-align: left; transform-origin: 384px 23.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven integers\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, we are asked to evaluate the following function: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"82\" height=\"25\" style=\"width: 82px; height: 25px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. That is, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eP\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e equals\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e raised to the power of the\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e-th\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eFibonacci number\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. We define \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"20\" style=\"width: 15px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e as follows: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"76\" height=\"20\" style=\"width: 76px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg 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width=\"33.5\" height=\"18\" style=\"width: 33.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 25px; 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 12.5px; text-align: left; transform-origin: 384px 12.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e        Example:     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"162\" height=\"25\" style=\"width: 162px; height: 25px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ePlease reduce the output, modulo \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"93.5\" height=\"20\" style=\"width: 93.5px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e------------------------\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHINT:\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e One solution is already shown, however java math is not allowed.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = P(x,n)\r\n    import java.math.BigInteger    \r\n    m = 2178309;   \r\n    p = BigInteger(num2str(x)).modPow(fiboBig(n),BigInteger(num2str(m))).longValue();\r\n\r\n    function f = fiboBig(a)\r\n        if a == 0\r\n            f = BigInteger.ZERO;\r\n        else\r\n            fs = [BigInteger.ONE BigInteger.ONE];\r\n            for i = 3:a\r\n                fs = [fs(2) fs(1).add(fs(2))];\r\n            end\r\n            f = fs(2);\r\n        end\r\n    end\r\nend","test_suite":"%%\r\nx = 3; n = 6;\r\np_correct = 6561;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 10; n = 10;\r\np_correct = 1704349;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 11:20; n = x.*10;\r\np_correct = [1789328 703074 1326793 1022378 1427238 485143 399395 1317366 1490422 632477];\r\nassert(isequal(arrayfun(@(i) P(x(i),n(i)),1:length(x)),p_correct))\r\n%%\r\nx = 50; n = 50;\r\np_correct = 2101373;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 1234; n = 5678;\r\np_correct = 1816441;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 11111; n = 11111;\r\np_correct = 1606418;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 99999999; n1 = 3200055; n2 = 1185207;\r\np_correct = P(x,n1);\r\nassert(isequal(P(x,n2),p_correct))\r\n%%\r\nx = 123456789; n = 123456789;\r\np_correct = 1611366;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 1e12; n = 1e12;\r\np_correct = 1935991;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = setdiff(primes(1000),primes(100)); n = x.^2;\r\np = arrayfun(@(i) P(x(i),n(i)),1:length(x));\r\ns_correct = [828561 675946 113 717102];\r\nassert(isequal(floor([mean(p) median(p) mode(p) std(p)]),s_correct))\r\n%%\r\nfiletext = fileread('P.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":8,"created_by":255988,"edited_by":255988,"edited_at":"2022-10-19T20:51:20.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2022-10-19T20:51:20.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-18T16:04:17.000Z","updated_at":"2026-03-23T13:00:56.000Z","published_at":"2022-10-18T17:04:18.000Z","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 integers\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, we are asked to evaluate the following function: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP(x,n)=x^{F_n}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. That is, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e equals\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e raised to the power of the\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th\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://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. We define \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e as follows: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_1=F_2=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_i=F_{i-1}+F_{i-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ei\u0026gt;2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e        Example:     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP(3,6)=3^{F_6}=3^8=6561\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePlease reduce the output, modulo \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{32}=2178309\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e------------------------\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHINT:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e One solution is already shown, however java math is not allowed.\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":3092,"title":"Return fibonacci sequence  do not use loop and condition","description":"Calculate the nth Fibonacci number.\r\n\r\nGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\r\n\r\nExamples:\r\n\r\n Input  n = 5\r\n Output f is 5\r\n Input  n = 7\r\n Output f is 13\r\n\r\nbut, *loop and conditional statement is forbidden*","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: 203.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 101.867px; transform-origin: 407px 101.867px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.5px 8px; transform-origin: 113.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the nth Fibonacci number.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 204px 8px; transform-origin: 204px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32px 8px; transform-origin: 32px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExamples:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 40.8667px; transform-origin: 404px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 52px 8.5px; transform-origin: 52px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 32px 8.5px; transform-origin: 32px 8.5px; \"\u003e Input  \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 20px 8.5px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 20px 8.5px; \"\u003en = 5\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 56px 8.5px; transform-origin: 56px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 32px 8.5px; transform-origin: 32px 8.5px; \"\u003e Output \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 24px 8.5px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 24px 8.5px; \"\u003ef is 5\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 52px 8.5px; transform-origin: 52px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 32px 8.5px; transform-origin: 32px 8.5px; \"\u003e Input  \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 20px 8.5px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 20px 8.5px; \"\u003en = 7\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 60px 8.5px; transform-origin: 60px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 32px 8.5px; transform-origin: 32px 8.5px; \"\u003e Output \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 28px 8.5px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 28px 8.5px; \"\u003ef is 13\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 12px 8px; transform-origin: 12px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ebut,\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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: 153px 8px; transform-origin: 153px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eloop and conditional statement is forbidden\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function f = fib(n)\r\n  f = n;\r\nend","test_suite":"%%% functions forbidden\r\n\r\n\r\n% Clean user's function from some known jailbreaking mechanisms\r\nfunctions={'!','feval','eval','str2func','str2num','regex','system','dos','unix','perl','assert','fopen','write','save','setenv','path','please','for','if','while','switch','round','roundn','fix','ceil','char','floor'};\r\nassessFunctionAbsence(functions, 'FileName', 'fib.m');\r\n%%\r\nn = 1;\r\nf = 1;\r\nassert(abs(fib(n) - f) \u003c 1e-4)\r\n\r\n%%\r\nn = 6;\r\nf = 8;\r\nassert(abs(fib(n) - f) \u003c 1e-4)\r\n\r\n%%\r\nn = 10;\r\nf = 55;\r\nassert(abs(fib(n) - f) \u003c 1e-4)\r\n\r\n%%\r\nn = 20;\r\nf = 6765;\r\nassert(abs(fib(n) - f) \u003c 1e-4)","published":true,"deleted":false,"likes_count":15,"comments_count":11,"created_by":3668,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":855,"test_suite_updated_at":"2021-02-15T12:43:32.000Z","rescore_all_solutions":false,"group_id":30,"created_at":"2015-03-18T15:03:18.000Z","updated_at":"2026-03-16T14:19:58.000Z","published_at":"2015-03-18T15:25:13.000Z","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\u003eCalculate the nth Fibonacci number.\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\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples:\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[ Input  n = 5\\n Output f is 5\\n Input  n = 7\\n Output f is 13]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ebut,\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:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eloop and conditional statement is forbidden\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":43016,"title":"Find the next Fibonacci number","description":"In the sequence of Fibonacci numbers, every number is the sum of the two preceding ones:\r\n  \r\n  1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, ...\r\n\r\nThe initial two numbers are generally chosen as [1, 1].\r\n  \r\nGiven one or more integers n, find the next integer that is a Fibonacci number, for each of them.\r\n\r\nExample 1:\r\n\r\n  n = 6;\r\n  out = 8;\r\n\r\nExample 2:\r\n\r\n  n = [12 44 50];\r\n  out = [13 55 55];\r\n","description_html":"\u003cp\u003eIn the sequence of Fibonacci numbers, every number is the sum of the two preceding ones:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, ...\r\n\u003c/pre\u003e\u003cp\u003eThe initial two numbers are generally chosen as [1, 1].\u003c/p\u003e\u003cp\u003eGiven one or more integers n, find the next integer that is a Fibonacci number, for each of them.\u003c/p\u003e\u003cp\u003eExample 1:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003en = 6;\r\nout = 8;\r\n\u003c/pre\u003e\u003cp\u003eExample 2:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003en = [12 44 50];\r\nout = [13 55 55];\r\n\u003c/pre\u003e","function_template":"function y = next_fibonacci(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 6;\r\nout = 8;\r\nassert(isequal(next_fibonacci(n),out));\r\n%%\r\nn = [12 40 50];\r\nout = [13 55 55];\r\nassert(isequal(next_fibonacci(n),out));\r\n%%\r\nn = 10.^(1:5);\r\nout = [13 144 1597 10946 121393];\r\nassert(isequal(next_fibonacci(n),out));\r\n%%\r\nn = round(7.^(3:.5:7));\r\nout = [377 987 2584 6765 17711 46368 121393 317811 832040];\r\nassert(isequal(next_fibonacci(n),out));\r\n","published":true,"deleted":false,"likes_count":7,"comments_count":0,"created_by":28354,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":905,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-04T12:27:08.000Z","updated_at":"2026-03-09T12:37:53.000Z","published_at":"2016-10-04T12:27:08.000Z","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 the sequence of Fibonacci numbers, every number is the sum of the two preceding ones:\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[1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, ...]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe initial two numbers are generally chosen as [1, 1].\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\u003eGiven one or more integers n, find the next integer that is a Fibonacci number, for each of them.\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\u003eExample 1:\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[n = 6;\\nout = 8;]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample 2:\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[n = [12 44 50];\\nout = [13 55 55];]]\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":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":2837,"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":"2026-03-31T16:32:01.000Z","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":47073,"title":"Find the nth Fibbinary number","description":null,"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: 308.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 154.375px; transform-origin: 407px 154.375px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.625px; text-align: left; transform-origin: 384px 31.625px; 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: 255.117px 7.91667px; transform-origin: 255.117px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe numbers 0, 1, 2, 4, 5, 8, 9, and 10 form the first eight elements (i.e., elements \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABOUlEQVRYhe2VXbGDMBBGj4c4wEANREEV1AEO4qAW0ICEeLgWqgEL3Idkh21uEmiB2+lMzkweYMl+2T8CjUaj0Wh8iAvQAw6w8Z2Nz5czRT3wiOIWGIAfYI6rO0P4Fp0/AJPYZmX7V2Etfj9a+Kqc24y9W7G/jQGm6HgsfCNZmfibFUPoCVmeFxrSsURV2uSj3RcOPqpD9Su+npCoU8eCVYdziW0gX4qJMB1Vao4FTz4zRr1PSyF7qv2hU37N2HuWzKT1loPnIhS/1cmoid8IYzfyXJYh7pO9NfFSKYGQxll9aOJyLPMukUs3y0RsEV+tu0Sml+7eKXm/RWCzOISUO0KN0/926TKRkdot/g67G24vUo4UGbXcBB1G7SdTuqAOQ6ZBj5T0wqlRCx3LhXInTMShN1+j0fgefgFsKIIPBf1eagAAAABJRU5ErkJggg==\" alt=\"a_0\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\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: 9.71667px 7.91667px; transform-origin: 9.71667px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABJ0lEQVRYhe2WUY3DMAyGPw5lMAIlEARFMAZhUAajEAyFEA6lUAylsHuYc3Ozutmm5aaT8kl+aGz5d+y0KTQajUaj8SV6wAMj4GTNyXNfUzQCi4g7IAAzcBU71RA+S/IF6DLfVfn+VFiLXz4tPKjkbsd/KvjfpgNWSTwZMakrK9uuBFXUnhULHVWwdYqj+GNW9CKFucxm7PFtSLuOht+p4ka17kXYyhlKwlZiTaTcGU06P0MpULd8L9hz70w+b4vwbOyR+Jnb3Ca2YwnYXUKErYO7oVfiUartJHk6MGnnQewoccpnnYUH0s60TdzbtmbrR1wk7pnx/DJw263n8bv9ymWyYL81VUlfQf8NcU/FG6/ELPbSvD9BavnRK1iNdPFU+8NpNBr/gx+twmvaJTM4bAAAAABJRU5ErkJggg==\" alt=\"a_7\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\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: 102.683px 7.91667px; transform-origin: 102.683px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) of the Fibbinary sequence. The name is a portmanteau that arose because of connections to Fibonacci numbers and binary numbers. The connection to Fibonacci numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"F(k)\" style=\"width: 32.5px; height: 19px;\" width=\"32.5\" height=\"19\"\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: 37.7167px 7.91667px; transform-origin: 37.7167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis that if the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/47058-determine-the-zeckendorf-expansion-of-a-number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eZeckendorf expansion\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: 9.71667px 7.91667px; transform-origin: 9.71667px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 8.94167px 7.91667px; transform-origin: 8.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.625px; text-align: left; transform-origin: 384px 10.625px; 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: 9.70833px 7.91667px; transform-origin: 9.70833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"n = F(k_1) + F(k_2) + \\ldots + F(k_m)\" style=\"width: 199px; height: 20px;\" width=\"199\" height=\"20\"\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 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.6167px 7.91667px; transform-origin: 13.6167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 26px; 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 13px; text-align: left; transform-origin: 384px 13px; 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: 9.70833px 7.91667px; transform-origin: 9.70833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"a_n = 2^{k_1-2}+2^{k_2-2}+\\ldots+2^{k_m-2}\" style=\"width: 192px; height: 26px;\" width=\"192\" height=\"26\"\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 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 357.083px 7.91667px; transform-origin: 357.083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe connection to binary numbers is that the binary representations of the Fibbinary numbers have no adjacent 1s. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.625px; text-align: left; transform-origin: 384px 10.625px; 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: 42.7833px 7.91667px; transform-origin: 42.7833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABJ0lEQVRYhe2WUY3DMAyGPw5lMAIlEARFMAZhUAajEAyFEA6lUAylsHuYc3Ozutmm5aaT8kl+aGz5d+y0KTQajUaj8SV6wAMj4GTNyXNfUzQCi4g7IAAzcBU71RA+S/IF6DLfVfn+VFiLXz4tPKjkbsd/KvjfpgNWSTwZMakrK9uuBFXUnhULHVWwdYqj+GNW9CKFucxm7PFtSLuOht+p4ka17kXYyhlKwlZiTaTcGU06P0MpULd8L9hz70w+b4vwbOyR+Jnb3Ca2YwnYXUKErYO7oVfiUartJHk6MGnnQewoccpnnYUH0s60TdzbtmbrR1wk7pnx/DJw263n8bv9ymWyYL81VUlfQf8NcU/FG6/ELPbSvD9BavnRK1iNdPFU+8NpNBr/gx+twmvaJTM4bAAAAABJRU5ErkJggg==\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\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: 148.975px 7.91667px; transform-origin: 148.975px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e = 10. The Zeckendorf expansion of 7 is 2+5, or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"F(3)+F(5)\" style=\"width: 79.5px; height: 19px;\" width=\"79.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 7.91667px; transform-origin: 17.5px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.70833px 7.91667px; transform-origin: 9.70833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"10=2^{3-2}+2^{5-2} = 2+8\" style=\"width: 155px; height: 19.5px;\" width=\"155\" height=\"19.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 210.442px 7.91667px; transform-origin: 210.442px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAlso, the binary expansion of 10 is 1010, which has no adjacent 1s. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.1px 7.91667px; transform-origin: 83.1px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to find the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 65.7333px 7.91667px; transform-origin: 65.7333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth Fibbinary number. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = Fibbinary(n)\r\n  y = f(n);\r\nend","test_suite":"%%\r\nn = 0;\r\ny_correct = 0;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 4;\r\ny_correct = 5;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 7;\r\ny_correct = 10;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 77;\r\ny_correct = 321;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 777;\r\ny_correct = 9282;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 5000;\r\ny_correct = 140562;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 7777;\r\ny_correct = 278597;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 77777;\r\ny_correct = 8455236;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 100000;\r\ny_correct = 9704021;\r\nassert(isequal(Fibbinary(n),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-25T02:19:28.000Z","updated_at":"2020-10-27T04:39:32.000Z","published_at":"2020-10-25T03:48:13.000Z","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\u003eThe numbers 0, 1, 2, 4, 5, 8, 9, and 10 form the first eight elements (i.e., elements \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a_0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a_7\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) of the Fibbinary sequence. The name is a portmanteau that arose because of connections to Fibonacci numbers and binary numbers. The connection to Fibonacci numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"F(k)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(k)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis that if the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/47058-determine-the-zeckendorf-expansion-of-a-number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eZeckendorf expansion\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n = F(k_1) + F(k_2) + \\\\ldots + F(k_m)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = F(k_1) + F(k_2) + \\\\ldots + F(k_m)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen\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\u003e     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a_n = 2^{k_1-2}+2^{k_2-2}+\\\\ldots+2^{k_m-2}\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_n = 2^{k_1-2}+2^{k_2-2}+\\\\ldots+2^{k_m-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe connection to binary numbers is that the binary representations of the Fibbinary numbers have no adjacent 1s. \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\u003eFor example, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e = 10. The Zeckendorf expansion of 7 is 2+5, or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"F(3)+F(5)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(3)+F(5)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and \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\u003e     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"10=2^{3-2}+2^{5-2} = 2+8\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10=2^{3-2}+2^{5-2} = 2+8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003eAlso, the binary expansion of 10 is 1010, which has no adjacent 1s. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to find the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth Fibbinary number. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44481,"title":"How many Fibonacci numbers? ","description":"Find the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers.\r\n\r\nExample:\r\n\r\n x = [1 2 3 4 5 6 7 8 8]\r\n y = 5","description_html":"\u003cp\u003eFind the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cpre\u003e x = [1 2 3 4 5 6 7 8 8]\r\n y = 5\u003c/pre\u003e","function_template":"function y = fib_count(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [1 4 5 7 10 11 13 20 21 23 29];\r\ny_correct = 4;\r\nassert(isequal(fib_count(x),y_correct))\r\n\r\n%%\r\nx = 5:5:100;\r\ny_correct = 2;\r\nassert(isequal(fib_count(x),y_correct))\r\n\r\n%%\r\n%x = [2 2 3 3 3 3 3 3 5 5 6 6 6 7 86168291600238450732788312165664788095941068326060883324529903470149056115823592713458328176574447204501];\r\n% Changed the test suite to a number that can be represented as an integer in DOUBLE\r\nx = [2 2 3 3 3 3 3 3 5 5 6 6 6 7 8944394323791465];\r\ny_correct = 3;\r\nassert(isequal(fib_count(x),y_correct))\r\n\r\n%%\r\nx = [2 2 3 3 3 3 3 3 5 5 6 6 6 7 8944394323791464];\r\ny_correct = 4;\r\nassert(isequal(fib_count(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":5,"comments_count":9,"created_by":172785,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":984,"test_suite_updated_at":"2019-02-08T20:17:38.000Z","rescore_all_solutions":true,"group_id":122,"created_at":"2018-01-06T17:29:02.000Z","updated_at":"2026-03-31T16:35:24.000Z","published_at":"2018-01-06T17:29:06.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers.\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\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ x = [1 2 3 4 5 6 7 8 8]\\n y = 5]]\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":2024,"title":"Triangle sequence ","description":"A sequence of triangles is constructed in the following way:\r\n1) the first triangle is Pythagoras' 3-4-5 triangle\r\n2) the second triangle is a right-angle triangle whose second longest side is the hypotenuse of the first triangle, and whose shortest side is the same length as the second longest side of the first triangle\r\n3) the third triangle is a right-angle triangle whose second longest side is the hypotenuse of the second triangle, and whose shortest side is the same length as the second longest side of the second triangle etc.\r\nEach triangle in the sequence is constructed so that its second longest side is the hypotenuse of the previous triangle and its shortest side is the same length as the second longest side of the previous triangle.\r\nWhat is the area of a square whose side is the hypotenuse of the nth triangle in the 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: 234px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 117px; transform-origin: 407px 117px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 185px 8px; transform-origin: 185px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA sequence of triangles is constructed in the following way:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 148.5px 8px; transform-origin: 148.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1) the first triangle is Pythagoras' 3-4-5 triangle\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: 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: 365.5px 8px; transform-origin: 365.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2) the second triangle is a right-angle triangle whose second longest side is the hypotenuse of the first triangle, and whose shortest side is the same length as the second longest side of the first triangle\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: 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: 368px 8px; transform-origin: 368px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e3) the third triangle is a right-angle triangle whose second longest side is the hypotenuse of the second triangle, and whose shortest side is the same length as the second longest side of the second triangle etc.\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: 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: 384px 8px; transform-origin: 384px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEach triangle in the sequence is constructed so that its second longest side is the hypotenuse of the previous triangle and its shortest side is the same length as the second longest side of the previous triangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 299px 8px; transform-origin: 299px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhat is the area of a square whose side is the hypotenuse of the nth triangle in the sequence?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function area = triangle_sequence(n)\r\n  area = n;\r\nend","test_suite":"%%\r\nfiletext = fileread('triangle_sequence.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n%%\r\nn = 1;\r\narea_correct = 25;\r\ntolerance = 1e-6;\r\nassert(abs(triangle_sequence(n)-area_correct)\u003ctolerance)\r\n%%\r\nn = 2;\r\narea_correct = 41;\r\ntolerance = 1e-6;\r\nassert(abs(triangle_sequence(n)-area_correct)\u003ctolerance)\r\n%%\r\nn = 3;\r\narea_correct = 66;\r\ntolerance = 1e-6;\r\nassert(abs(triangle_sequence(n)-area_correct)\u003ctolerance)\r\n%%\r\nn = 9;\r\narea_correct = 1186;\r\ntolerance = 1e-6;\r\nassert(abs(triangle_sequence(n)-area_correct)\u003ctolerance)\r\n%%\r\nn = 13;\r\narea_correct = 8129;\r\ntolerance = 1e-6;\r\nassert(abs(triangle_sequence(n)-area_correct)\u003ctolerance)\r\n%%\r\nn = 22;\r\narea_correct = 617911;\r\ntolerance = 1e-6;\r\nassert(abs(triangle_sequence(n)-area_correct)\u003ctolerance)\r\n%%\r\nn = 50;\r\narea_correct = 439116598409;\r\ntolerance = 1e-3;\r\nassert(abs(triangle_sequence(n)-area_correct)\u003ctolerance)","published":true,"deleted":false,"likes_count":156,"comments_count":39,"created_by":974,"edited_by":223089,"edited_at":"2023-03-16T15:12:00.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5832,"test_suite_updated_at":"2023-03-16T15:12:00.000Z","rescore_all_solutions":false,"group_id":7,"created_at":"2013-11-27T20:39:45.000Z","updated_at":"2026-04-07T19:40:17.000Z","published_at":"2013-11-28T17:12:38.000Z","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\u003eA sequence of triangles is constructed in the following way:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1) the first triangle is Pythagoras' 3-4-5 triangle\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\u003e2) the second triangle is a right-angle triangle whose second longest side is the hypotenuse of the first triangle, and whose shortest side is the same length as the second longest side of the first triangle\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\u003e3) the third triangle is a right-angle triangle whose second longest side is the hypotenuse of the second triangle, and whose shortest side is the same length as the second longest side of the second triangle etc.\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\u003eEach triangle in the sequence is constructed so that its second longest side is the hypotenuse of the previous triangle and its shortest side is the same length as the second longest side of the previous triangle.\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\u003eWhat is the area of a square whose side is the hypotenuse of the nth triangle in the 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":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":679,"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":"2026-03-01T13:32:27.000Z","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":3095,"title":" Return fibonacci sequence do not use loop and condition version 2","description":"Calculate the nth Fibonacci number,return sequence\r\n\r\nGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\r\n\r\nExamples:\r\n\r\n Input  n = 2 : 5\r\n Output f is [1 2 3 5]\r\n Input  n = 7 : 10\r\n Output f is [13    21    34    55]\r\n\r\nbut, loop and conditional statement is forbidden","description_html":"\u003cp\u003eCalculate the nth Fibonacci number,return sequence\u003c/p\u003e\u003cp\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\u003c/p\u003e\u003cp\u003eExamples:\u003c/p\u003e\u003cpre\u003e Input  n = 2 : 5\r\n Output f is [1 2 3 5]\r\n Input  n = 7 : 10\r\n Output f is [13    21    34    55]\u003c/pre\u003e\u003cp\u003ebut, loop and conditional statement is forbidden\u003c/p\u003e","function_template":"function y = fib(x)\r\n  y = x;\r\nend","test_suite":"%%% Clean workspace\r\n% !/bin/cp fib.m safe\r\n% !/bin/rm *.*\r\n% !/bin/mv safe fib.m\r\n\r\n% Clean user's function from some known jailbreaking mechanisms\r\nfunctions={'!','feval','eval','str2func','str2num','regex','system','dos','unix','perl','assert','fopen','write','save','setenv','path','please','for','if','while','switch','round','roundn','fix','ceil','char','floor','\\.','^','power'};\r\nfid = fopen('fib.m');\r\n  st = char(fread(fid)');\r\n  for n = 1:numel(functions)\r\n    st = regexprep(st, functions{n}, 'error(''No fancy functions!''); %','ignorecase');\r\n  end\r\n  st = regexprep(st, 'function', 'error(''No fancy functions!''); %','ignorecase',2);\r\nfclose(fid);\r\nfid = fopen('fib.m' , 'w');\r\n  fwrite(fid,st);\r\nfclose(fid);\r\n\r\n%%\r\nn = 1:5;\r\nf = [1     1     2     3     5];\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 7 : 10;\r\nf = [13    21    34    55];\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\n\r\nn = 20 : 22;\r\nf = [ 6765       10946       17711];\r\nassert(isequal(fib(n),f))","published":true,"deleted":false,"likes_count":0,"comments_count":21,"created_by":3668,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":64,"test_suite_updated_at":"2015-03-19T15:13:29.000Z","rescore_all_solutions":false,"group_id":30,"created_at":"2015-03-19T14:56:25.000Z","updated_at":"2026-03-16T14:37:24.000Z","published_at":"2015-03-19T14:56:25.000Z","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\u003eCalculate the nth Fibonacci number,return sequence\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\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples:\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[ Input  n = 2 : 5\\n Output f is [1 2 3 5]\\n Input  n = 7 : 10\\n Output f is [13    21    34    55]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ebut, loop and conditional statement is forbidden\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":42248,"title":"Return fibonacci sequence do not use loop and condition version 3","description":"Calculate the nth Fibonacci number,return sequence\r\n\r\nGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\r\n\r\nin this time,return a function handle\r\n\r\n f  = fib(n)\r\n\r\ngenerate the sequence from the n-th item\r\n\r\nif n = 3\r\n\r\nfirst call:\r\n\r\n f() = 2\r\n\r\nsecond call\r\n\r\n f() = 3\r\n\r\nthird call\r\n\r\n f() = 5\r\n\r\nif n = 7\r\n\r\nfirst call:\r\n\r\n f() = 13\r\n\r\nsecond call\r\n\r\n f() = 21\r\n\r\nthird call\r\n\r\n f() = 34\r\n\r\nbut, loop and conditional statement is forbidden","description_html":"\u003cp\u003eCalculate the nth Fibonacci number,return sequence\u003c/p\u003e\u003cp\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\u003c/p\u003e\u003cp\u003ein this time,return a function handle\u003c/p\u003e\u003cpre\u003e f  = fib(n)\u003c/pre\u003e\u003cp\u003egenerate the sequence from the n-th item\u003c/p\u003e\u003cp\u003eif n = 3\u003c/p\u003e\u003cp\u003efirst call:\u003c/p\u003e\u003cpre\u003e f() = 2\u003c/pre\u003e\u003cp\u003esecond call\u003c/p\u003e\u003cpre\u003e f() = 3\u003c/pre\u003e\u003cp\u003ethird call\u003c/p\u003e\u003cpre\u003e f() = 5\u003c/pre\u003e\u003cp\u003eif n = 7\u003c/p\u003e\u003cp\u003efirst call:\u003c/p\u003e\u003cpre\u003e f() = 13\u003c/pre\u003e\u003cp\u003esecond call\u003c/p\u003e\u003cpre\u003e f() = 21\u003c/pre\u003e\u003cp\u003ethird call\u003c/p\u003e\u003cpre\u003e f() = 34\u003c/pre\u003e\u003cp\u003ebut, loop and conditional statement is forbidden\u003c/p\u003e","function_template":"function y = fib(x)\r\n  y = x;\r\nend","test_suite":"%%% Clean workspace\r\n% !/bin/cp fib.m safe\r\n% !/bin/rm *.*\r\n% !/bin/mv safe fib.m\r\n\r\n% Clean user's function from some known jailbreaking mechanisms\r\nfunctions={'!','feval','eval','str2func','str2num','regex','system','dos','unix','perl','assert','fopen','write','save','setenv','path','please','for','if','while','switch','global','figure'...\r\n    'round','roundn','fix','ceil','char','floor','\\.','^','pow','\\^','sscanf','persistent'};\r\nfid = fopen('fib.m');\r\n  st = char(fread(fid)');\r\n  for n = 1:numel(functions)\r\n    st = regexprep(st, functions{n}, 'error(''No fancy functions!''); %','ignorecase');\r\n  end\r\n \r\nfclose(fid);\r\nfid = fopen('fib.m' , 'w');\r\n  fwrite(fid,st);\r\nfclose(fid);\r\n\r\n%%\r\nn = 2;\r\nf = fib(n);\r\nassert(isequal(f() + f(),f()));\r\nassert(isequal(f(),5));\r\n\r\n\r\n\r\n%%\r\nn = 7;\r\nf = fib(n);\r\nassert(isequal(f() + f(),f()));\r\nassert(isequal(f() + f(),f()));\r\nassert(isequal(f(),233));\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":3668,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":"2015-04-22T17:14:27.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2015-04-22T17:05:37.000Z","updated_at":"2015-04-23T12:17:05.000Z","published_at":"2015-04-22T17:05:37.000Z","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\u003eCalculate the nth Fibonacci number,return sequence\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\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein this time,return a function handle\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[ f  = fib(n)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003egenerate the sequence from the n-th item\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\u003eif n = 3\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\u003efirst call:\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[ f() = 2]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esecond call\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[ f() = 3]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethird call\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[ f() = 5]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eif n = 7\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\u003efirst call:\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[ f() = 13]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esecond call\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[ f() = 21]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethird call\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[ f() = 34]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ebut, loop and conditional statement is forbidden\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":56458,"title":"Easy Sequences 80: Sum of the n-th Row of Fibonacci Square Triangle","description":"We shall call the following arrangement of Fibonacci numbers, as the Fibonacci Square Triangle:\r\n                        \r\nwhere:  and  for .\r\nWe can see from the above list, that the first row contains the square of the first Fibonacci number (i.e. ), the 2nd row contains the squares of the next 2 Fibonacci numbers, the 3rd  contains the next 3, the 4th contains the next 4, and so on.\r\nIn this problem, we are required to find the sum of the n-th row of the Fibonacci Square Triangle. For example for the 4th row, the sum is:\r\n        \r\nSince, Fibonacci number squares grows very fast, please present your answer as a row vector of 3 elements. The first element is the first 4 digits of the sum, the second element is the last 4 digits of the sum, and last element is the number of digits of the sum.\r\nTherefore, for the 4th row, your program output should be .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 445px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 222.5px; transform-origin: 407px 222.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWe shall call the following arrangement of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci numbers\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, as the \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFibonacci Square Triangle\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 150px; font-family: Helvetica, Arial, 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src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAU4AAAAmCAYAAACrg3LqAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAABTqADAAQAAAABAAAAJgAAAAD+VY4qAAAMkElEQVR4Ae1aC7BVVRm+xuUqIDokxUOwY5mvMRRppDADASkdwWk0X2iDKTIZMZVN45gNo5JRlqY2k1oqo1YOPhkmC5VEnchBxBcqJCUGiChIDUwKvvq+y/rHdc9dz332Pndvz/pnvrvWXv+/Xt/+17/XWue2tSVJDCQGEgOJgcRAYiAxkBhIDCQGEgOJgcRAYiAxkBhIDCQGEgOJgUYYOBOV/wX0j2hkKmyXAvtH1Gl1031AwEJgdosRkXwl7IVnWYdhLZfbqpL+8W1w+j5wbiS37bD/E/A68JnIuq1oPgCTXgU8B+z9ESKghrlcBQx0zCn5ioMcpcq6Dv0tN9+C8eBs4ErgOuAswBUjCvGP29HpVuA/GTAddVwyGsqdwE9cRkpHArYAl2q2eyK/AngK2EMrr2K2SJ7JxwLgVWA/PjjExLPDvMdUw9HzDQD95wPgAMAlVfaVIzGxTUCWNbjGRYrSha7DUbDnx/dZwBWIVLNNT3qjR56mxCfoFzrm4bkXYJJC/IO7lUcAfRCP4vki4FvAd4CLgXnAS4DYnYi8TdjmWuBeYDfAJUOg5K6U7b4DdAAiQ5F5DbhJCiqcFsEz6fge8C5Ax3eJi2dXvWbq9kVnvwZ2AOJnTH2BEyZtVfYVrpGTAH3Ob+P558BM4ALg+8Bc4AHgLYC2ywGXxKzD69GQ9H+Zq9Ee0v1WG5+Msz5lvNHjhz7UQvyDziqD2Ia87T6yHToeoWk7CLDJfVAwCIZ8ufrBThbKOuTrvxqzUMb+vglUXfLm+SgQshO4OYAYH88BTRRucjd6uBzgUYz+Iz4ZEjhh3lZlX+F1hMyXqX764tx0ORoP3Gz8Ri805GPW4RzUl/7PN7TVk0XHqbGtRDoB4Al0b2ASwB2yjJupa0OXu38s0TpfgLxLpkP5isPgTOg4AX4hQmUcDK8ADjVUIEkbgO3AngZ9lYqWYLDykhvlmbuU1QADZw0IkXEwsvEcUr+ZNlwkwlVo4CzSV6ZgPDyJLSyIhHFoV+bLdKSnH66Jcxw2seuQH9YfAecBHY52e0K1CJ2uB0ybtT4o55WFcHc18jbJ1T/6ohceC6RjHs9dci6UdzkMFkPHtmoOm1jVhajANqu868yb52MUJ7fEklkR+8fV/PjeQwMnp1aUr8xQ49nMTgoQ7rQ5V2IjwA+jS9ZBeZjDoIh16OiuMBU3SzyRnuHogScU4W6Fw46q3PzjBK1Tdl4DfNLLYjAc5e8B3C3kKYegMY6NX/yqSp48k4MbAXJyCh8+gpI1cBblK0UHzmV4h7L45wW8T9saZNWi1mHAsHI3GYEWHwRc8+UHRLhb7hlBbv5xjdbpKkOng1G2GeCdgk8uggEnwDZDhLuwUQB3kvz3AtdXll9hth2z+4B5aSRPnnnk4K+wvOfaJ2CGMTwHNNcUk6yBk4MrwleKDJwDMWZuOGTxn85J1Mkv8Dy3rsz2GLMOueYYaPlhvxg4HqiaMCYId/MDBp+Lf/CeTDr9VV2nH8PzH4FldeW2x0egYFu8D3IJf9R4HZB+mb7gqgDdH5Q971irKHnyfCwIIGe+Y0kWnsvCbSOBswhfKTJw8hgqa4EBtP5jeATKdgAMbiESug7vQGPyC730f2pIByWzmYjxyPh5t+sTr3+0e1qoQX+gZrMJeS42/qrOLe3XgPEAv2Ahsp8y8gVBBuJPAXMA/psF5YFdifXvKqXh1zFW7kGFsbGVDPZ0qsWGcl9RDQZV4dk3lyroG/GVnpjfV7RO30Cea+NgYDDweWAmwAD3EBAioetwKhrbF3gR6AvwBBPaB0xLI5PVSBi/uNZ94vUPX+DUXxg7u8LSI/9NxCfc8g9VRlt8xtDTEVhHxBc4pc1hUiEi7Q/bj0fY20x72xSe8jx5ZlfCgXDi6j6WZ1dbVdEJL8JT2cc9SRvgIOSf1J4l+3tkdsqDI41Zh9zdbgP2UO2x3zdVvioJAz537JRZwNudOfcfr3/EBM7H0NeFAEnkncvhwCUAd49rAJ98AgYdAF8G799CZKIyokMs8VTwTtZRfy50dzr0oSqTQ4fU1QNnozyzP+4SKLx7DpEYnkPaK7tNI77S7LmNQIdDtE7PQv5lgAGBp6sZwGggZCcFs7bYdXgs6vBKjuLbvOyyKtff2RgO5zxfIWR0Xv9wBU7qJmi9LED+Ce35XuRPA+7WylxZefkMmh+4DJWO9p9T+b8h/Z/K2xIJxgNsBo5yHq+JnpC8eeYchOutAROK5Vma5IL+K6CfCkQXmvKfk7kwmy1ZfIXB6X7HQGVXxpOLLDyT+VIUTjYpLGX6R5XjvgPg5kOE6+Jm4M9S4EnFN0LXob7bjQmcCzGOMZ6x+NS8KviLz8ih5zUGr/oYt6YBoeL1D1fg/CJ62UvraZGWl+wnkQkNnNtVJXEwacOWTtQUpr41dWe2jyp4t15R8ue8eeZ0Y7iO5Vno5A8URCOi+1cj7cTWzeIrXCsh1zn8kLjsYuf8VW1y/LjrQZMqrkEGzbf4ECAxvsHmjlNtbkP6d5UPSThPFw8hbWS9+mLbwwBu9v4NTAFC+YFpm9c/XIFT/9K9isZWskVNuH3nv0DUl2smXbIb1FM/pLsDO7pouz/IC6Mm5Esni3h996ZKXZI3z5yscCCcuAiI5VnaWo3MDHnImIZeJWRs3lpNeBGerIaa4inkpwNybNVUnVnuIk8E6NezOkvMfzaai42lXCtf0jSmdfAc9Cs0G182Zh1+Go0RlIeBdzpzYX/mwGz/MFOr1bNWjVvBoL1QmUxE+prbvJvW6x/t3ap8WKAvaNML4y9sP/3Q3JvjpewbAO8bODAGY5fIgmadp12GSjdQpTGLQZq9B5mx8tBAeirqxh758+aZw1+n5iAOoB6NSSzP0gjf343yULE0i6/wSPw7xzy502Tg3A7kxcs4tNUBiCySjJYu0fIh2Zh1OElr0BQDNHW37IPdSppTwN0ig+Zw4MvAy0CseP3DFjhZ8UitN9ML09TBWQY1Bs6hgCtwHgr9YIDCFxB6J0r7LIGzP+o1eqxg3735J0KK5JnDIM8uycKzq72q6IaogWbxlWbOUf+orkbHr+TUeeg6HK/1Fxs4tapNy3L93QWMBPj7zAuASaahkLplJiXKvP7RbqnIL40cSRi0HrLYxRa/iAqc1DHAckdl6kX4wjiWG4DLANlNIdtF+HWhPLMrifo7F9Z3RtUwGz9pLraWFsXzKtXjGKTkjqcDk2Th2dROT5Rxh5dVGvGVrH1mqaffb+YZuGLX4VoM/iWAvPFkdjlQNqGf3w6MB44HngBMwjlcD/C/gmyS2T8Wo0UGTOJ5W+sZyk9QbXIr7RIGSel/OPJXA/w62AI9d27vAxsAElgVKYpnzp98kcNRfLBILM+WZnqkeC16FR85LGIERfnKDDWezRFjcZnyoybzY/p1l3GkLmQdctcl/d+E/GeBTcBJQNmEH1Feo3C8PMnOM+BWlPGe+j3gUcAmmf1jCloUwphuBAbZeoks7wV7Tuy/gC0IskneOcoYliL/JsAXZxM6Fe2vtBmUsLxInjndCwBy8kM+WCSWZ0szTS2mD30XEP9g+kugNxAiRflKnoFzL0zkYUCf4yV4bmSXrXMTsg5HaP3/A/ktwHV6IyXKX4Wx6Fz58mc7xp7JP0iQqVNG6ecdncWofqb6+Iaj0g+UDceyHhjtsKWKVwm05cuugjSD5wEggj8EsC8uFJPE8mxqo5llvFLZDph8lB/jlQGDKcpX8gqcp2MOOx1zPCNgjiEmvnXID9FWbRw8nZTxNHe0NkaTX9SXcU59AJsU5R+2/oLLa7Ckk68BXLvOL0A/AegHuGQslCRnvsuoRXXXKm6mOeYfyrOjicqoivSV6WCBfpjXUb1oUmvowLcO+YPpZOAgoBWkSP/Ihb+T0Qqd7LwcWuN9BYMwjzdJujKwOx55Sf5PoKOrqiWfivSVvmB0DHBUhZjNcx1WaNrWoRbpH9ZOYxW8l9oGHBFbUbP/MfI7gFFaWcp2ZaCGR95P3da1uOWekq+YX3ke69DccrVKK+MfPKY/BmwAhmXgeCrqcNc6M0PdVqvCX1H5XweXttrE1XyTr9hffKPr0N5ydTSV84+B4Ja/mj8D2H7AMNHPC2H+8DHbpExlRgamoZS7c/5q2EqSfMX/trOuQ3/L5beorH/w7u0UIOYXO15W8z4pSRwD/H/HkXFVKm+dfCXsFWZZh2Etl9sq+Ue5308aXWIgMZAYSAwkBhIDiYHEQGIgMZAYSAwkBhIDiYHEQGIgMZAYSAwkBhIDiYHEQGIgMZAYSAxUjoH/A5AUYg8UtcdYAAAAAElFTkSuQmCC\" width=\"167\" height=\"19\" style=\"width: 167px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33.5\" height=\"18\" style=\"width: 33.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\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: 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWe can see from the above list, that the first row contains the square of the first Fibonacci number (i.e. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"38\" height=\"20\" style=\"width: 38px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e), the 2nd row contains the squares of the next 2 Fibonacci numbers, the 3rd  contains the next 3, the 4th contains the next 4, and so on.\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: 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIn this problem, we are required to \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003efind the sum of the n-th row of the Fibonacci Square Triangle\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. For example for the 4th row, the sum is:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e        \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"429.5\" height=\"21\" style=\"width: 429.5px; height: 21px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSince, Fibonacci number squares grows very fast, please present your answer as a row vector of 3 elements. The first element is the first 4 digits of the sum, the second element is the last 4 digits of the sum, and last element is the number of digits of the sum.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTherefore, for the 4th row, your program output should be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"102.5\" height=\"19\" style=\"width: 102.5px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = sumFST(n)\r\n    s = [4791 4791 4];\r\nend","test_suite":"%%\r\nn = 4:8;\r\ns_correct = {[4791 4791 4] [5971 7175 6] [1932 2536 9] [1632 8113 12] [3605 8865 15]};\r\nassert(isequal(arrayfun(@(i) sumFST(i),n,'uni',0),s_correct))\r\n%%\r\nn = 10;\r\ns_correct = [3152 5555 23];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 50;\r\ns_correct = [2682 1525 533];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 100;\r\ns_correct = [1928 7575 2111];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 500;\r\ns_correct = [8201 1625 52351];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 600:100:1000;\r\ns_correct = 742673;\r\nassert(isequal(sum(arrayfun(@(i) sum(sumFST(i)),n)),s_correct))\r\n%%\r\nn = 100:10:1000;\r\ns_correct = 7865124;\r\nassert(isequal(sum(arrayfun(@(i) sum(sumFST(i)),n)),s_correct))\r\n%%\r\nn = 1234;\r\ns_correct = [3836 6419 318495];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 123456;\r\ns_correct = [1647 8064 3185286664];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 1000000;\r\ns_correct = [1345 9375 208987849238];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nfiletext = fileread('sumFST.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":255988,"edited_by":255988,"edited_at":"2022-11-17T19:00:29.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-04T19:35:14.000Z","updated_at":"2026-03-23T18:26:25.000Z","published_at":"2022-11-08T12:04:31.000Z","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\u003eWe shall call the following arrangement of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, as the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci Square Triangle\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(1)^2\\\\\\\\F(2)^2,\\\\ F(3)^2\\\\\\\\F(4)^2,\\\\ F(5)^2,\\\\ F(6)^2\\\\\\\\F(7)^2,\\\\ F(8)^2,\\\\ F(9)^\\\\ F(10)^2\\\\\\\\F(11)^2,\\\\ F(12)^2,\\\\ F(13)^2,\\\\ F(14)^2,\\\\ F(15)^2\\\\\\\\F(16)^2,\\\\ F(17)^2,\\\\ F(18)^2,\\\\ F(19)^2,\\\\ F(20)^2,\\\\ F(21)^2\\\\\\\\....\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003ewhere: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(1)=F(2)=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(i)=F(i-1)+F(i-2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ei\u0026gt;2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe can see from the above list, that the first row contains the square of the first Fibonacci number (i.e. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(1)^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e), the 2nd row contains the squares of the next 2 Fibonacci numbers, the 3rd  contains the next 3, the 4th contains the next 4, and so on.\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\u003eIn this problem, we are required to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efind the sum of the n-th row of the Fibonacci Square Triangle\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. For example for the 4th row, the sum 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS_4 = F(7)^2+F(8)^2+F(9)^2+F(10)^2=13^2+21^2+34^2+55^2=4791\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003eSince, Fibonacci number squares grows very fast, please present your answer as a row vector of 3 elements. The first element is the first 4 digits of the sum, the second element is the last 4 digits of the sum, and last element is the number of digits 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTherefore, for the 4th row, your program output should be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[4791,\\\\  4791,\\\\ 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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":42340,"title":"Fibonacci Decomposition","description":"Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, return these numbers. \r\n\r\nReturn the vector f = [f1, f2, ...] sorted from smallest to largest. sum(f) = n.\r\n\r\nExamples\r\n\r\n n = 3\r\n f = 3\r\n\r\n n = 32\r\n f = [3 8 21]\r\n\r\nReference: \u003chttp://www.johndcook.com/blog/2015/05/17/fibonacci-number-system/\u003e","description_html":"\u003cp\u003eEvery positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, return these numbers.\u003c/p\u003e\u003cp\u003eReturn the vector f = [f1, f2, ...] sorted from smallest to largest. sum(f) = n.\u003c/p\u003e\u003cp\u003eExamples\u003c/p\u003e\u003cpre\u003e n = 3\r\n f = 3\u003c/pre\u003e\u003cpre\u003e n = 32\r\n f = [3 8 21]\u003c/pre\u003e\u003cp\u003eReference: \u003ca href = \"http://www.johndcook.com/blog/2015/05/17/fibonacci-number-system/\"\u003ehttp://www.johndcook.com/blog/2015/05/17/fibonacci-number-system/\u003c/a\u003e\u003c/p\u003e","function_template":"function f = fib_decomposition(n)\r\n  f = 1;\r\nend","test_suite":"%%\r\nn = 1;\r\nf_correct = 1;\r\nassert(isequal(fib_decomposition(n),f_correct))\r\n\r\n%%\r\nn = 4;\r\nf_correct = [1 3];\r\nassert(isequal(fib_decomposition(n),f_correct))\r\n\r\n%%\r\nn = 6;\r\nf_correct = [1 5];\r\nassert(isequal(fib_decomposition(n),f_correct))\r\n\r\n%%\r\nn = 2010;\r\nf_correct = [2 34 377 1597];\r\nassert(isequal(fib_decomposition(n),f_correct))\r\n\r\n%%\r\nn = 35601;\r\nf_correct = [1 34 144 6765 28657];\r\nassert(isequal(fib_decomposition(n),f_correct))\r\n\r\n%%\r\nn = 9227467;\r\nf_correct = [2 9227465];\r\nassert(isequal(fib_decomposition(n),f_correct))\r\n\r\n%%\r\nn = 2015;\r\nf_correct = [2 5 34 377 1597];\r\nassert(isequal(fib_decomposition(n),f_correct))\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":16,"comments_count":2,"created_by":7,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":925,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-05-28T16:03:19.000Z","updated_at":"2026-03-31T16:36:14.000Z","published_at":"2015-05-28T16:04:31.000Z","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\u003eEvery positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, return these numbers.\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\u003eReturn the vector f = [f1, f2, ...] sorted from smallest to largest. sum(f) = 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\u003eExamples\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[ n = 3\\n f = 3\\n\\n n = 32\\n f = [3 8 21]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReference:\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://www.johndcook.com/blog/2015/05/17/fibonacci-number-system/\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttp://www.johndcook.com/blog/2015/05/17/fibonacci-number-system/\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":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":771,"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":"2026-03-31T16:38:37.000Z","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\"}]}"},{"id":52968,"title":"Easy Sequences 43: Least Common Fibonacci Number","description":"The Fibonacci sequence  is a series whose elements are numbers starting with  and , and subsequent Fibonacci numbers are defined recursively: . The first 20 Fibonacci numbers are:\r\n                            \r\nGiven two indices  and , write a program to return the least common Fibonacci number, , which is defined as the smallest Fibonacci number divisible by both  and . For example,, which is , since  and  both divide .\r\nSince. the value of  may become large even if the values of  and  are relatively small, please output a vector containing the number of digits and the last  digits of . Therefore, in the example above the output of , which has  digits, should be .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; 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=\"block-size: 216px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eThe Fibonacci sequence \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003eF\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; \"\u003e\u003cspan style=\"\"\u003e is a series whose elements are numbers starting with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43.5\" height=\"20\" style=\"width: 43.5px; height: 20px;\"\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; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43.5\" height=\"20\" style=\"width: 43.5px; height: 20px;\"\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; \"\u003e\u003cspan style=\"\"\u003e, and subsequent \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci numbers\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; \"\u003e\u003cspan style=\"\"\u003e are defined recursively: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"107\" height=\"20\" style=\"width: 107px; height: 20px;\"\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; \"\u003e\u003cspan style=\"\"\u003e. The first 20 Fibonacci numbers are:\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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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\" width=\"519.5\" height=\"19\" style=\"width: 519.5px; height: 19px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; 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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven two indices \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003en\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003em\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, write a program to return the least common Fibonacci number, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"69\" height=\"19\" style=\"width: 69px; height: 19px;\"\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, which is defined as the smallest Fibonacci number divisible by both \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19.5\" height=\"20\" style=\"width: 19.5px; height: 20px;\"\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e.\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; \"\u003e\u003cspan style=\"\"\u003e For example,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"43.5\" height=\"20\" style=\"width: 43.5px; height: 20px;\"\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; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFcAAAAoCAYAAACLvGZ4AAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAV6ADAAQAAAABAAAAKAAAAADY0JsKAAAD4klEQVRoBe2ZW4hNURjHj0sRzYjcGmEeNMqLXBq3zIsiNB48jniRPIwHIZciD0gmxIt3RkkhwoQotxpGeHCXDOP2YoaJQgx+/2PWmWXPmr33nDmj2cf66r/Xt771rcv3P2t/e+19UikvngHPgGfAM+AZ8Ax4BsIY6BXW6NsyDBShjcrU2hTxNw0sAPPbzPG0w7h9AB+zwIp4UyTCq5ZV/gpBpSuKODt3MB1PgjJrgGvoNaAZ9AUFoATMAuOApBycSWvJvsxm+VdDQvhEm3a1yr9ExESJdu49YMj9jL4QtBsMm8Y7BXSb3AL5IOsJ4geoAi2OgLTJXFw4XN2my5jNbSHywkTp4GWYQ4LaJrDWn6A6mzX3jtFpAD7TLb9zlu5StZh82bXriEWpUxsqTgrFrXOiW9zsWpXFMbr3ieHT0110QvgGTOyN6KfBUjAQ5ET2M4qZ4LFjxJHY3oNBjrYkm3axeBN3sGyirSIXwT2xJtkXGFBp5QioC9jzobqWIG4CPayC5Jr6lq4EWhwYeBP1UjAHrAKXgCbaALpLdEjXLdlVXMhygcq1Y8AyUA8MsaZcjC0rWUkvM0hYac62WU0S0Uln57C547bdiJgnTnM/nHQ0s3OxUqXzYBB1zp1nzagXB90q/cFQMBFsBg/BM9Bd8oCB9SN3VRq6OgD9RWoVUKo4ACTjwUxwXZW4IuKbgdkZIjYojzBsDRr/k/pR4jTcLHHF7NzOrY4zKAutTuct3ajDUY6bSkSpuQ6B5RF+SWk+Zi1UPLSTsLRgp4S39Lwf6C2ydjvsAbdMdSOazogNGUuylTvW8vVhq53EJdf1pNWb2M52I7oNUzHvcDdFWnVaqIn0ina4jcvcaLfYHl8tz3eWnlE7IlcPrMkZr1TKlRKs5lBVr8+HwR7gytuhnWnUGodEOcVot1NcDPdIFz3QJdq1V9Ja4NIRufqFddtLlLQvprXsLnvppp0vZENuTzot2Aysaa0cpPxiN0Tp5uVAxCq4bKWcjuqv45t+MI23HfR0qWCB9UBrrwRmo6GmRV/+FIvOuM6HWdrLcVmETR0NlE9GOPyiTOrzGkxqdUwSuSdYs4lfZS0oA1OA7kTZnoIiEFvUwR7U6C3YO7uDz9JHJwQjSSK3lEW/ASZ+u5R9NdCzJFSCObck1Dt+o26lAqC3mSRKHYsuBjrrjwYi8hWoB8/BdxAp+ijRHaIF6BNkozV4IbpSRVOrvZpyG8hbCe7cXAWqlDAsMNhY6iJX337vghfAS44YSFLOzUnIwSNGTgb1g/xh4F+SqxOHRH9Te/EMeAY8A54Bz4BnwDPgGfAMdCcDvwEGggLq4KGn/gAAAABJRU5ErkJggg==\" width=\"43.5\" height=\"20\" style=\"width: 43.5px; height: 20px;\"\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; \"\u003e\u003cspan style=\"\"\u003e both divide \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEIAAAAkCAYAAAA9+eyvAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAQqADAAQAAAABAAAAJAAAAAD+3wP6AAAEKElEQVRoBe2YW4hWVRTHJ/NCir6ItywlsSTzFpNaOj4VmC/6Ugr5ICgY9aIPQYrU0Ev0YGpSBIUm8ySChYTQg4IoqGgKmYqa16yJLjM4kpTWWL//tJestvtcvu+b7+0s+J+19rruvb699zkzLS0VVR2oOlB1oOpA1YGyHXigrKPzm4X8AngSPAEOgLeA0VMIQ21QwLuwXy7wMXNRXfMTfwak1jYc/dsBB+E100NEvAl+BP8ALWAHWAJkMxqNcBvIpwy2W2AGL1vXhy8sqN2JfZAPKCu34Xgd2MI+Qs76xdc5P/PP48vxz6Ja6voc+xnk1Wz3zianto/ZxJeCDjAE/AJWgK9AigagvAjGgk/BKaDdEZMW+Cq4A7SDekBMtdT1sa0MvgYHwCEQ028otoFbsSFv/CzGXqDu/gWeA3m0COPfQPdHHn2AUTn3ZjjVWten2clAc37cKxuRBxN8GmjCwhugiFbhsKHASTvQ7pmVCd966lqaSQj6IbQjRpiyUf4OCawJR5GLjlDZevNDXu2wkYmgRup+GHJr3toVOpobwQxQF00lSufXGvF6yKKzPx2I10tbCFTefYkEjdRVU3Xubc4x34NtTKJmruq9KOH7jLsj3QnGq0EtpF31A9AkX0sENlJ3Ivm+BFfAXRA3QuPvwcOgNH2Dp0/0O+NdoAN8G9n0Ki1L83BUXm3b1K7qr7rDyD8bfBZq+bWcRPcgKKQBeOjCseBzyKOiKP2a3mdxZM8absagvKnXWrPqPk29w6GurWk540LSoi1A/MWMiG3O70iGj1frWFwPMWu9IcjNqqv0I8AFYOtK3U/y+x9NZmQB4qmbXQFznJ92x0Apc0jfIJZ3QsKvWXWt1DQE28XfmTKP63zZhMXVzRRp4f5SmpRycrpNyMp33Om82Ky6vsYZBppDj1earLPp6RYDfYYa6RM4Requ98tqmGJ1LF6SAO3+j933bEbduMjJoLgRGzSOGyHdJT0CpW53s2mBRpdNSPC56B4N+qxGyNzfdUPJe+zPIP10T+OEVCO+cPbnnexFNcF2wc/IN70xkl8OY716885nf9eNptEyMyj2xIas8TgMdrHoXKVISe0u+STlEHRq2LXg257jJ1N/1o1LtaHQfO+ArOMex/SNP+ZpC029d7cG+x/w8X0R6YeOheXRzV1E9dTVvwj2gU6gXaU3kCe9+exjbY03lJH19bUTaBG3wTKggjpKK0EvUBNeAXm0EaNynM9zcrZ66s4INazhmtd6MAXoWNo3RJm/oHG/n/SK1LZXI1REN3t3kE/D9dVWRFdxUOy7RY7OXk/d7cT717k1RbrPQavLnxT9zZ90QDkKzAaPAP0v4Rj4FZShBcHpLLyrTIDzqbXuY8Tq+I0DuryvAr2Jys4V14qqDlQdqDpQdaDqQNWBqgO1d+BfLwGELPYJbVIAAAAASUVORK5CYII=\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eSince. the value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e may become large even if the values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003en\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; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003em\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; \"\u003e\u003cspan style=\"\"\u003e are relatively small, please output a vector containing the number of digits and the last \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);\"\u003e6\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; \"\u003e\u003cspan style=\"\"\u003e digits of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e. Therefore, in the example above the output of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"65.5\" height=\"19\" style=\"width: 65.5px; height: 19px;\"\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; \"\u003e\u003cspan style=\"\"\u003e, which has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);\"\u003e4\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; \"\u003e\u003cspan style=\"\"\u003e digits, should be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"58\" height=\"19\" style=\"width: 58px; height: 19px;\"\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; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = LCF(n,m)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 3; m = 4;\r\ny_correct = [4 6765];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = 31; m = 61;\r\ny_correct = [207 308229];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = 123; m = 456;\r\ny_correct = [11843 575091];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = 999; m = 99999;\r\ny_correct = [20899 746875];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = 98765; m = 43210;\r\ny_correct = [891912775 944568];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = double(intmax); m = 12345;\r\ny_correct = [2770427214858 134203];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nns = floor(double(intmax)./(1:100));\r\nys = arrayfun(@(i) log10(sum(LCF(ns(i-1),i))),2:101);\r\nss = round([sum(ys) mean(ys) median(ys) mode(ys) std(ys)],4);\r\nss_correct = [842.8233 8.4282 8.6618 7.1199 0.3808];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('LCF.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-10-21T07:09:35.000Z","updated_at":"2026-01-31T13:37:33.000Z","published_at":"2021-10-21T11:42:51.000Z","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\u003eThe Fibonacci sequence \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is a series whose elements are numbers starting with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{1} =1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{2} =2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and subsequent \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e are defined recursively: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{n} =F_{n-1}+F_{n-2} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The first 20 Fibonacci numbers are:\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\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{1, \\t2, \\t3, \\t5, \\t8, \\t13, \\t21, \\t34, \\t55, \\t89, \\t144, \\t233, \\t377, \\t610, \\t987, \\t1597, \\t2584, \\t4181, \\t6765, 10946\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven two indices \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, write a program to return the least common Fibonacci number, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eLCF(n,m)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, which is defined as the smallest Fibonacci number divisible by both \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{n}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{m}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e For example,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eLCF(3,4)=6765\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, which is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{19}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, since \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{3}=3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{4}=5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e both divide \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6765\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSince. the value of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eLCF\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e may become large even if the values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are relatively small, please output a vector containing the number of digits and the last \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e digits of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eLCF\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Therefore, in the example above the output of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eLCF(3,4)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, which has \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e digits, should be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[4\\\\  6765]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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":56220,"title":"Easy Sequences 75:  Easy as Pisano Pi","description":"Pisano period , of an integer , is the period in which the sequence of Fibonacci numbers modulo  repeats. For example it is not hard to show that ,  and  are ,  and , respectively:\r\n            \r\nI have used Pisano period in the solutions of Problem 56050. Easy Sequences 73: Emergence of Fibonacci Insects and Problem 56065. Easy Sequences 74: Fibonacci Bank Account.\r\nIn this problem, we are asked to simply output the Pisano period of given integer .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.45px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 12.6px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 327.95px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 163.975px; transform-origin: 407px 163.975px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 37.8px; 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 18.9px; text-align: left; transform-origin: 384px 18.9px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Pisano_period\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003ePisano period\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: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 28px; height: 16px;\" width=\"28\" height=\"16\"\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: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 44.5px 7px; transform-origin: 44.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e of an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 4px 7px; transform-origin: 4px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \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: 123px 7px; transform-origin: 123px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eis the period in which the sequence of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFibonacci numbers \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: 26px 7px; transform-origin: 26px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003emodulo \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 29.5px 7px; transform-origin: 29.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e repeats. \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: 11.5px 7px; transform-origin: 11.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example it is not hard to show that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 28px; height: 16px;\" width=\"28\" height=\"16\"\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: 4px 7px; transform-origin: 4px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 28px; height: 16px;\" width=\"28\" height=\"16\"\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: 14.5px 7px; transform-origin: 14.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 28px; height: 16px;\" width=\"28\" height=\"16\"\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: 13px 7px; transform-origin: 13px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e3\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: 4px 7px; transform-origin: 4px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e8\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: 14.5px 7px; transform-origin: 14.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e6\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: 40px 7px; transform-origin: 40px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, respectively:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 206.45px; 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 103.225px; text-align: left; transform-origin: 384px 103.225px; 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: 24px 7px; 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data-image-state=\"image-loaded\" width=\"649\" height=\"201\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 37.8px; 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 18.9px; text-align: left; transform-origin: 384px 18.9px; 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: 129px 7px; transform-origin: 129px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eI have used Pisano period in the solutions of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56050-easy-sequences-73-emergence-of-fibonacci-insects\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 56050. Easy Sequences 73: Emergence of Fibonacci Insects\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: 14.5px 7px; transform-origin: 14.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56065-easy-sequences-74-fibonacci-bank-account\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 56065. Easy Sequences 74: Fibonacci Bank Account\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: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 18.9px; 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 9.45px; text-align: left; transform-origin: 384px 9.45px; 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: 258.5px 7px; transform-origin: 258.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIn this problem, we are asked to simply output the Pisano period of given integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = pisanoPi(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 1:10;\r\np_correct = [1 3 8 6 20 24 16 12 24 60];\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 1234;\r\np_correct = 1236;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = [1111 2222 3333 4444 5555 6666 7777 8888 9999];\r\np_correct = [50 150 200 150 100 600 400 300 600];\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 1000000;\r\np_correct = 1500000;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 19531250;\r\np_correct = 117187500;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 102334155;\r\np_correct = 80;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 123456789;\r\np_correct = 6862416;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 4807526976;\r\np_correct = 96;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 1000:2000;\r\np = pisanoPi(n);\r\ns = floor([mean(p) mode(p) median(p) std(p)]);\r\ns_correct = [1153 240 768 1124];\r\nassert(isequal(s,s_correct))\r\n%%\r\nfiletext = fileread('pisanoPi.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":255988,"edited_at":"2022-10-06T12:23:49.000Z","deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":"2022-10-06T10:06:58.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-05T08:50:04.000Z","updated_at":"2026-03-22T12:27:15.000Z","published_at":"2022-10-05T14:00:36.000Z","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:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Pisano_period\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ePisano period\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e of an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eis the period in which the sequence of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emodulo \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e repeats. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eFor example it is not hard to show that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(3)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(4)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, respectively:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"201\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"649\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\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\u003eI have used Pisano period in the solutions of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56050-easy-sequences-73-emergence-of-fibonacci-insects\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 56050. Easy Sequences 73: Emergence of Fibonacci Insects\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56065-easy-sequences-74-fibonacci-bank-account\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 56065. Easy Sequences 74: Fibonacci Bank Account\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\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIn this problem, we are asked to simply output the Pisano period of given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" 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rBBByCKl/4Sj9ob/oRPD/AP3/AE/+SqYz22ivEv8AhKP2hv8AoRPD/wD3/T/5Ko/4Sj9ob/oRPD//AH/T/wCSqAPbaK8S/wCEo/aG/wChE8P/APf9P/kqj/hKP2hv+hE8P/8Af9P/AJKoA9torxL/AISj9ob/AKETw/8A9/0/+SqP+Eo/aG/6ETw//wB/0/8AkqgD22ivEv8AhKP2hv8AoRPD/wD3/T/5KqKLxj8f55Jo4PBXhuR7dxHMqXUZMbbQ21gLrg7WU4PZge9AHuVFeJf8JR+0N/0Inh//AL/p/wDJVH/CUftDf9CJ4f8A+/6f/JVAHttFeJf8JR+0N/0Inh//AL/p/wDJVH/CUftDf9CJ4f8A+/6f/JVAHttFeJf8JR+0N/0Inh//AL/p/wDJVH/CUftDf9CJ4f8A+/6f/JVAHttFeJf8JR+0N/0Inh//AL/p/wDJVH/CUftDf9CJ4f8A+/6f/JVAHttFeGt4x+P63Udq3grw2LiRGkSI3Ue9lUqGYD7VkgF1BPbcPUVL/wAJR+0N/wBCJ4f/AO/6f/JVAHttFeJf8JR+0N/0Inh//v8Ap/8AJVH/AAlH7Q3/AEInh/8A7/p/8lUAe20V4l/wlH7Q3/QieH/+/wCn/wAlUf8ACUftDf8AQieH/wDv+n/yVQB7bRXiX/CUftDf9CJ4f/7/AKf/ACVR/wAJR+0N/wBCJ4f/AO/6f/JVAHttFeJf8JR+0N/0Inh//v8Ap/8AJVRXPjL4/WcPm3fgvw3BHvVA8lyigszBVXm66liAB3JAHWgD3KivDP8AhM/j/wD9CP4f/wC/y/8AyVR/wmfx/wD+hH8P/wDf5f8A5KpXQro9zorwz/hM/j//ANCP4f8A+/y//JVH/CZ/H/8A6Efw/wD9/l/+SqLoLo9zorwz/hM/j/8A9CP4f/7/AC//ACVR/wAJn8f/APoR/D//AH+X/wCSqLoLo9zorwz/AITP4/8A/Qj+H/8Av8v/AMlUf8Jn8f8A/oR/D/8A3+X/AOSqLoLo9zorwz/hM/j/AP8AQj+H/wDv8v8A8lVHB47+PN1bx3Fr4N8NzwTIHjliuEZHUjIZWF1ggjkEUXQXR7vRXhn/AAmfx/8A+hH8P/8Af5f/AJKo/wCEz+P/AP0I/h//AL/L/wDJVF0F0e50V4Z/wmfx/wD+hH8P/wDf5f8A5Ko/4TP4/wD/AEI/h/8A7/L/APJVF0F0e50V4Z/wmfx//wChH8P/APf5f/kqj/hM/j//ANCP4f8A+/y//JVF0F0e50V4Z/wmfx//AOhH8P8A/f5f/kqj/hM/j/8A9CP4f/7/AC//ACVRdBdHudFeER+O/jzNJKkPg3w3I8L7JVS4QmNtobawF1wdrKcHswPcVJ/wmfx//wChH8P/APf5f/kqi6C6Pc6K8M/4TP4//wDQj+H/APv8v/yVR/wmfx//AOhH8P8A/f5f/kqi6C6Pc6K8M/4TP4//APQj+H/+/wAv/wAlUf8ACZ/H/wD6Efw//wB/l/8Akqi6C6Pc6K8M/wCEz+P/AP0I/h//AL/L/wDJVH/CZ/H/AP6Efw//AN/l/wDkqi6C6Pc6K8M/4TP4/wD/AEI/h/8A7/L/APJVNXxv8fHuktR4M8N/aHRpEiNygdlUqGYD7VkgFlBPbcPUUXQXR7rRXiX/AAlH7Q3/AEInh/8A7/p/8lUf8JR+0N/0Inh//v8Ap/8AJVMZ7bRXiX/CUftDf9CJ4f8A+/6f/JVH/CUftDf9CJ4f/wC/6f8AyVQB7bRXiX/CUftDf9CJ4f8A+/6f/JVH/CUftDf9CJ4f/wC/6f8AyVQB7bRXiX/CUftDf9CJ4f8A+/6f/JVH/CUftDf9CJ4f/wC/6f8AyVQB7bRXzv4r+LPxp8EaVHqXifwl4fsbSWYQJJkyZcqzAYS4J6K3OMcV9EUAFFFFABXz7+zR/wAk11D/ALC8n/omGvoKvn39mj/kmuof9heT/wBEw18lxf8A8it+qOjD/Gew0UUV+NnoBRRRQAUVzfjS8lsrXR5Ibl7dW1e1SVlkKAoX+YE/3SOoPFaeia1Br9gb6yhnS0ZyIJpkCi4QdJEGc7D2JAzjIGCCd3QmqSrdGTze9y/11/yNGiiisCgooooA8/8Aiv8Ae8Ef9jdYf+z16RXm/wAV/veCP+xusP8A2evSK/XuE/8AkVx9WeXiv4gUUUV9UcoUUVyGm6h4iHxMudP1i6tPsEmntcW1papkR4mChmkYBmYg8gYUdBnqRau39dweiudfRRRQAUUUUAUNCl87w7psvmebvtIm8zzPM35Qc7vMk3Z9fMfP95upv1Q0KXzvDumy+Z5u+0ibzPM8zflBzu8yTdn18x8/3m6m/Q9xhRRRQIKK47x5JrWkaHqOvad4hktDZxK1tYraxNFM4I+SQsrOxdjtGxkxkcZ5PXQs7wRtKux2UFlBztOORR0uN6D6KKKBBVDTpfMvtVXzN/l3art8zds/cRHGPMbb1zjbH1ztOfMe/VDTpfMvtVXzN/l3art8zds/cRHGPMbb1zjbH1ztOfMcGX6KKKBBRRWF4puY7S0glu/FEfhu18za9wTArSNj5UDzBkHQkjaSccEYOQaVzdornvA+o6hqvhaK61R2nZppVguXiETXMAciOUoMAFlweABzkAA10NNqwgooopAQ20uPFVrF5mN1lcN5fmY3YeHnb5gzjPXy2xn7yZxJv1gW0uPFVrF5mN1lcN5fmY3YeHnb5gzjPXy2xn7yZxJv1vD4TWOwUUUVQwoqtqWo2uk6Xc6hqEohtbWJpppG6KqjJNcV4E13xHqfjHX7bxHKEjW1tLu1sPKRfsSymX92WAyzbUTcST82cYFC1B6K/wDX9anfUUUUAFZuvS+Vp0TeZ5Wb21Xd5mzObiMYz5idc4xuOc42yZ8ttKs3XpfK06JvM8rN7aru8zZnNxGMZ8xOucY3HOcbZM+WwBpUUUUAFFFFABRXm3hbXbuTVbaLxR4l16z1Ce8njj0680qO3tZsO+xEla2G4lAGAWUk/nXpNHS4dbBRRRQAVm+HJfO8K6VL5nm77KFvM8zzN+UHO7zJN2fXzHz/AHm6nSrN8OS+d4V0qXzPN32ULeZ5nmb8oOd3mSbs+vmPn+83UgGlRRRQAUUV5z4g8ZbvFuq6bJrWqaLY6NFGZ5dK0pryR3dPMLSMYZVjjVSMZUEncc4XFK47XPRqKr6fNFc6bbTW12L2GSJWS6DKRMpHD5UBTnrwAOeKsVTVnYlO6uFFFFIZzsUvmaxrC+Zv8u7Vdvmbtn7iI4x5jbeucbY+udpz5j2arRS+ZrGsL5m/y7tV2+Zu2fuIjjHmNt65xtj652nPmPZrCW5k9woooqRBRWXrVlPcwiaLXr3R44FZpWtUtyGHXLebE+MYPTHXms34f3OqX/hOLUNZvZ7tryWSe2a4jjSRbct+6DBFUZKgMeOrULUb0OmooooEFUJpceIrOLzMbrSdvL8zG7Dw87fMGcZ6+W2M/eTOJL9UJpceIrOLzMbrSdvL8zG7Dw87fMGcZ6+W2M/eTOJBDL9FFFAgoorI8V3WqWXhTULnQIvO1COEtCoj8w+5CZG4gZIXuQBSeg0ruxr0VwngjxDLrfiC6XStfuPEWiJaIz3dzbxxNDck5EalI4wcocspUlSACQTiu7qmrCCiiikBQ1mXyrGNvM8rN3bLu8zZnM6DGfMTrnGNxznG2TPltfqhrMvlWMbeZ5Wbu2Xd5mzOZ0GM+YnXOMbjnONsmfLa/R0GFFFFAgoprsUjZgNxAJAHevNLLxNrSaD4d8U3Ot/aI9X1CK2n0vyYlhiEzlAsbBRJvjOM7mbO1uB2Eru3p+Ow+lz02iiigQUUUUAT+HJfO8K6VL5nm77KFvM8zzN+UHO7zJN2fXzHz/ebqdKs3w5L53hXSpfM83fZQt5nmeZvyg53eZJuz6+Y+f7zdTpV0mwUUVBfNdrp8501IZLwRnyEuHKRl8cbmAJAz1wDQ9AJ6K890fxVrWleAvFmq+I7qHU77RLq7CmKEQxkRorKgAydoJxkknHUmpVvPEPh3UfDM2q66+rQ61cfZLuCW3hjjgkeJpFaEoisAChXDlyQRzkcta287fjsLp9/4bne0UUUhhWbpcvmajrK+Zv8u9Vdvmbtn+jwnGPMbb1zjbH1ztOfMfSrN0uXzNR1lfM3+Xequ3zN2z/R4TjHmNt65xtj652nPmOAaVFFFABRRXGaXqPiUfFS607Wruz/ALOk01ri1s7WPIj2zBAzSMAzOVPIACjoM43EWrS/rRXB6K/9a6HZ0Vxmoaj4ltfijotrLd2cOh3v2iNLWGPfLMUh375HYfLhuAq9uSTnA7OgAooooAzZ5ceKrGLzMbrK5by/Mxuw8HO3zBnGevltjP3kziTSrNnlx4qsYvMxusrlvL8zG7Dwc7fMGcZ6+W2M/eTOJNKgAooooAKK4zxlqPiXTtf0F9Ou7O10ebUre3uFEfmT3PmMwZfmG2NAMHIyxP8AdxzpeK7TUnsbi9tPE82hW9paySFobaFxuAJ3yNKr5QAdFCnr8x4wuZKPN6/hqNK8uX+tToaKx/COo32seDdI1HVoVgvbuzimnjUEBXZQTgHkdeh6VsVUk4tpkp3VwrK8SS+Vo4bzPKzd2y7vM2ZzPGMZ8xOucY3HOcbZM+W2rWV4kl8rRw3meVm7tl3eZszmeMYz5idc4xuOc42yZ8tpewyOiiiucxCiisHxlNrkHhm6l8Nz2lrcRxu73NypcxIqE5RMYZsgABiAM5OcYKbsrsqK5nY3qK5o380/gDTtQvtfj0XzLaCa61F1iG3cqk4Mg8tSWIGSpHOAMkEReBtVvNUh1Qy6g2rafBeGOw1N40U3Ue1Sx+QKjBXLKGUAHHfrVuLTa7Ep3ipdzqqKKKkAqhoUvneHdNl8zzd9pE3meZ5m/KDnd5km7Pr5j5/vN1N+qGhS+d4d02XzPN32kTeZ5nmb8oOd3mSbs+vmPn+83UnQZfooooEFFQXpulsZzpyQyXYQ+Ss7lIy+ONxAJAz6A1zngbUNWutO1YeJL6G7ubPU5oDLFCIo1RQpAA9Bk8kk+po7+Wo+i+46qivP/D/ijWdY+I8O+4CaDf6bPc2Nr5S5ZEljRJi2N3zhmIGcBSvGc16BTs0k+/8AwwPR2CiiikIoadL5l9qq+Zv8u7Vdvmbtn7iI4x5jbeucbY+udpz5j36oadL5l9qq+Zv8u7Vdvmbtn7iI4x5jbeucbY+udpz5j36GMKKKKBBRXIabqHiIfEy50/WLq0+wSae1xbWlqmRHiYKGaRgGZiDyBhR0Gepyzrd1B4o1FPEPiLXNIt01IQ2aDTEWzeIqm0Gdrdh8zFlz5gPYYpxV7W6/52G9L+X+Vz0OiiikIKhtpceKrWLzMbrK4by/Mxuw8PO3zBnGevltjP3kziSaobaXHiq1i8zG6yuG8vzMbsPDzt8wZxnr5bYz95M4kqHxFR3N+iiitzQKKK4zxlqPiXTtf0F9Ou7O10ebUre3uFEfmT3PmMwZfmG2NAMHIyxP93HJ1S7u33g9E321OzorhfF3iqW38XW/h2DUL/TUFn9tuJ9N01r25cFyiIiCOQKuVYszIf4QME5rpvDV/a6n4ctLuw1aTWIJEJW9lVFeTk53KioFYHgjaCCMEZzQtVcHo7GpRRRQB4l+1X/ySzTf+w1F/wCiJ69trxL9qv8A5JZpv/Yai/8ARE9e20AFFFFABXz7+zR/yTXUP+wvJ/6Jhr6Cr5y/Zxs57j4cam0WpXVqG1SRQsSxEKfs6jcNyHnLq3ORmJOMFw3yvFkVLLGm7are/wCiZvQ+M9soqjLYXMnmbdXvIt+7bsSH5M+ZjGYz93zExnP+pjznMm8lsLmTzNur3kW/dt2JD8mfMxjMZ+75iYzn/Ux5zmTf+Q+xh/z8X/k3/wAiehd9i9RVGWwuZPM26veRb923YkPyZ8zGMxn7vmJjOf8AUx5zmTeS2FzJ5m3V7yLfu27Eh+TPmYxmM/d8xMZz/qY85zJvPYw/5+L/AMm/+RC77Gb4x8NjxVpdpYSpBLbpfQzXEU+dskSnLLwDyR06fUVY8Nafqek6e+n6ndJexW8hSzuS5Mrw/wAIlyPvr93cCdwAJwSatS2FzJ5m3V7yLfu27Eh+TPmYxmM/d8xMZz/qY85zJvJbC5k8zbq95Fv3bdiQ/JnzMYzGfu+YmM5/1Mec5k39HNej7F1Y8u+0t/8AwH+vuJer5rF6iqMthcyeZt1e8i37tuxIfkz5mMZjP3fMTGc/6mPOcybyWwuZPM26veRb923YkPyZ8zGMxn7vmJjOf9THnOZN/P7GH/Pxf+Tf/IlXfYvUVRlsLmTzNur3kW/dt2JD8mfMxjMZ+75iYzn/AFMec5k3kthcyeZt1e8i37tuxIfkz5mMZjP3fMTGc/6mPOcybz2MP+fi/wDJv/kQu+xxvxX+94I/7G6w/wDZ69Iry34sWc5Xwko1G5Bm8V2SxuFizbktMQyfJgkB1UbgwxGuQSWLehy6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcyb/ANZ4Wio5bFKSer2v+qR5mJ+Mv0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm/6Y5i/XIDT/FB8frrLafpAsxamyIGpSmTyzKH8zb9nxuwPuZxn+Kugl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm9rR3DpYv0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm9AX6KoS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcybyXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeAGhS+d4d02XzPN32kTeZ5nmb8oOd3mSbs+vmPn+83U36wNGs7q58OWMi67fN51ojCRTBJ95HwQx83djzEIJkkz5MeWfMhk0JdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN7e4F+iqEunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm8l065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3oDm9d0fxLqHjC3vVstKv8ASrDElla3GoSQHz8cyyKIHDEZwozgcnqRjr4DK1vGblEjmKgyJG5dVbHIDEAke+B9BVSXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcyb30sD1dy/RVCXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcyb0Bfqhp0vmX2qr5m/y7tV2+Zu2fuIjjHmNt65xtj652nPmOS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcyb8+zs7qe/wBZVddvhi7KqqmB/I3QZAAO/bjzUIBVM+VGSrbneZgb9FUJdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/qY85zJvQF+szVpNcikhfQ7bT7pMMJoby4eA542srqj+4Klecg5GMGSXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcybwCh4S0GfQrG8+1mBZ7+9kvZIbXPlQM+MohOCRxktgZJJwM4reqhLp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/AKmPOcybyXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTewL9FUJdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/qY85zJvQFm2lx4qtYvMxusrhvL8zG7Dw87fMGcZ6+W2M/eTOJN+uQWxupPFUEUev39v5tldMI4zBx864IVhzt81MExvjyo8su6QT7sul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP+pjznMm/eOxpHY0qKzZdLu5PM267qEW/dt2R2/wAmfMxjMR+75iYzn/Ux5zmTeS6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcyb6GO1vQ7DxFpT6dq0Uktq7o7LHO8LbkYMpDIQwwwB4Pauc8PeAl0Hx9quuR3V3JbXVrbw26T6pczuGTzN+8SMQw+ZduScfNjbnnoZdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf9THnOZN5Lpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/AKmPOcybxabA9VY0qKzZdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf8AUx5zmTeS6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcybwDSrN16XytOibzPKze2q7vM2ZzcRjGfMTrnGNxznG2TPlsS6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcyb83xHYXa6cGXxFqFt5l7bqrIbdNm+4IABITOPNQAFm3eVGCsu6SOUA6Sis2XS7uTzNuu6hFv3bdkdv8AJnzMYzEfu+YmM5/1Mec5k3kul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP+pjznMm8A0qKzZdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf9THnOZN5Lpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/AKmPOcybwDnr7RfE/iS40231+LSbOysL6O9e4srmWWW4aJsoojaNRECcEne/AK85yOzrNl0u7k8zbruoRb923ZHb/JnzMYzEfu+YmM5/1Mec5k3kul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP8AqY85zJvNlb+v60Drc0qKzZdLu5PM267qEW/dt2R2/wAmfMxjMR+75iYzn/Ux5zmTeS6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcybwDSrN8OS+d4V0qXzPN32ULeZ5nmb8oOd3mSbs+vmPn+83Ukul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP+pjznMm/N0Cwu7rwrpsq+ItQPnWUbLIht5MbkfBDES7seYmCZJM+THlnzIZADpKKzZdLu5PM267qEW/dt2R2/wAmfMxjMR+75iYzn/Ux5zmTeS6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcybwDSrjL3w/4hsPEmtX/htdMuIdcij88X88kbW0qJ5YdQqMJFK7fkJTlfvc8dDLpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/qY85zJvJdLu5PM267qEW/dt2R2/wAmfMxjMR+75iYzn/Ux5zmTemk9xptbCeG9Fj8N+F9N0WGVpksLaO3EjDBfaoG7HbPXHatOs2XS7uTzNuu6hFv3bdkdv8mfMxjMR+75iYzn/Ux5zmTeS6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcyb6bbd2SlZWRpUVmy6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcybyXS7uTzNuu6hFv3bdkdv8AJnzMYzEfu+YmM5/1Mec5k3oZnxS+ZrGsL5m/y7tV2+Zu2fuIjjHmNt65xtj652nPmPZrGSyuptY1xRr99xd7VCmBvJ3QAgAEPtx5qEAqmfKjJVt0jzWpdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN+EtzN7l+iqEunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm8l065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3yIpeL9Ivdf8Oy6TYSxwpeOkV1I7lSLcn96EwDliuVGcDnrW1FEkMKRQoqRxqFVVGAoHAAqlLp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/qY85zJvJdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN76WAv0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm9AX6oTS48RWcXmY3Wk7eX5mN2Hh52+YM4z18tsZ+8mcSEunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP8AqY85zJvz7uzum8R28aa7fQ+baXTCNDBx84wQp67PNQAmN8eXHll3OJ2Bv0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm9AX6xPGGhz+IvC11ptrLHHLIUdRMCY5drhvLfHOxtu09eCeD0NyXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcybwFozC0vQNTfxkmv6nZ6ZphhsWsxDp87zG4BZSC7mOPATbhV2n7x5HQ9ZVCXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcyb2Iv0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm9DDWZfKsY28zys3dsu7zNmczoMZ8xOucY3HOcbZM+W1+sDXrO6FhuTXb6133cKhkMCbd85AAJ2Z/1qAAs27yowVl3SJLoS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcyb30Av0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm9AX64U+CG1PxHb3+oeH/D2kpDdC7luLA+dc3cituUM5hj2jcAzcsSQBx1rq5dOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/qY85zJva0dw6WL9FUJdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/qY85zJvQF+iqEunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm8l065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3gGt4cl87wrpUvmebvsoW8zzPM35Qc7vMk3Z9fMfP95up0q5vQLC7uvCumyr4i1A+dZRssiG3kxuR8EMRLux5iYJkkz5MeWfMhk0pdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf9THnOZN/SamlUV21ylnK1jFFNchSYo5pTGjN2BYKxUe4U/SqUul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP8AqY85zJvJdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf8AUx5zmTeAcnpnhPXrvR/E+jeI7XTLaz16S5m86yvpJ3iaVVULsaFAQME7t3oMd6s2nh/xLqepaC3ig6bDa6G3nKbGeSRr2cRmNXZWjURKAzNtBfkgZwOejl0u7k8zbruoRb923ZHb/JnzMYzEfu+YmM5/1Mec5k3kul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP8AqY85zJvFpa3S34bfcH/B/Hf7zSorNl0u7k8zbruoRb923ZHb/JnzMYzEfu+YmM5/1Mec5k3kul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP8AqY85zJvANKs3S5fM1HWV8zf5d6q7fM3bP9HhOMeY23rnG2Prnac+Y5Lpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/qY85zJvzbCwu59R11V8RaguL3aqobd/J3W4IABD7ceahAKpnyoyVbdJJMAdJRWbLpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/qY85zJvJdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf9THnOZN4BpVxg07xWfiKmuNpujCyFobEgapKZPLMofzNv2fG7A+5uxn+LvXQy6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcybyXS7uTzNuu6hFv3bdkdv8mfMxjMR+75iYzn/Ux5zmTedU+3/DA9VY57xBpviu88Y6VqWm6do0lppTzGP7Rqksck4kj2HKi3YJg57tn2rsxnHPWs2XS7uTzNuu6hFv3bdkdv8AJnzMYzEfu+YmM5/1Mec5k3kul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP+pjznMm8A0qKzZdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf9THnOZN5Lpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/AKmPOcybwAnlx4qsYvMxusrlvL8zG7Dwc7fMGcZ6+W2M/eTOJNKubvLC7bxVaxL4i1CHzbK7ZY0Nvx864IUjnb5qYJjfHlR5Zd0gn0pdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf9THnOZN4BpUVmy6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/wCpjznMm8l0u7k8zbruoRb923ZHb/JnzMYzEfu+YmM5/wBTHnOZN4Bh+NNM8Savc6ami2WlSW1jewXxku9Qkhd2jJJTasDgA8fNu/Cq3i3RfFXiG40uEWOkT6TEqz32ny6lLF584OVQuLdt8KkZwQpY4yABg9LLpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/qY85zJvJdLu5PM267qEW/dt2R2/wAmfMxjMR+75iYzn/Ux5zmTeLT77/1+Adb+Vi1YPeSWMbanb29tdEHzIraczRrzxhyiE8Y/hFWKzZdLu5PM267qEW/dt2R2/wAmfMxjMR+75iYzn/Ux5zmTeS6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/6mPOcybwDSrK8SS+Vo4bzPKzd2y7vM2ZzPGMZ8xOucY3HOcbZM+Wz5dLu5PM267qEW/dt2R2/wAmfMxjMR+75iYzn/Ux5zmTfleKLC7XR2ZfEOoW++7gUFTbpt3zkAAkJn/WoACx3eVGCsu6RJU9gL1FUJdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/qY85zJv5zIv1keJodUu9DuLTRbaznluY3hf7XdNAqKykbgVjfJyRxgfWrEunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm8l065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3pxTVmNOzujH0uDxTpvhWwtEs9HN5ZLHA0RvZTHPEsYXcJPKBjbdzjY4wMZ5yJPDeh3tjrGsaxqiWlvc6q8Ra1snaSOPy1Khi7Kpdmzydq8ADnGTqS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcybyXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTfbd22+pKSSsi/RVCXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcyb5GX6oaFL53h3TZfM83faRN5nmeZvyg53eZJuz6+Y+f7zdSS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/wCpjznMm/P0azurnw5YyLrt83nWiMJFMEn3kfBDHzd2PMQgmSTPkx5Z8yGR9AN+iqEunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm8l065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3oC1dNcJaytZRRy3AUmOOWQxozdgWCsQPfB+lcjoPh3V2t9d07xRYad/Z2sTzTyfY9Rld8SBVMf+qTjAPzBgfbvXSS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcybyXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeWX6Ac1bfD2Gw8e2Gs2dxefYrSxkg8ubVbqV/MLoVwHcgphTlScZxwcZHaVQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/wBTHnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/AKmPOcyb3dtWDrcv0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/wBTHnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/AKmPOcyb0AadL5l9qq+Zv8u7Vdvmbtn7iI4x5jbeucbY+udpz5j36wLOzup7/WVXXb4YuyqqpgfyN0GQADv2481CAVTPlRkq253m0JdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN7Av0VQl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/1Mec5k3kunXMnmbdYvYt+7bsSD5M+ZjGYz93zExnP+pjznMm9Ac+NP8UHx+ustp+kCzFqbIgalKZPLMofzNv2fG7A+5nGf4qXxHpHiTxJY3mhXMWlQaXdybWvo7iQziHcDgQmPbvwMbvMwPvY/hrfl065k8zbrF7Fv3bdiQfJnzMYzGfu+YmM5/wBTHnOZN5Lp1zJ5m3WL2Lfu27Eg+TPmYxmM/d8xMZz/AKmPOcyb2tEl2/4cOt/67F4DaoA7DFLVCXTrmTzNusXsW/dt2JB8mfMxjMZ+75iYzn/Ux5zmTeS6dcyeZt1i9i37tuxIPkz5mMZjP3fMTGc/6mPOcybwVi/UNtLjxVaxeZjdZXDeX5mN2Hh52+YM4z18tsZ+8mcSVpdOuZPM26xexb923YkHyZ8zGMxn7vmJjOf9THnOZN8C2N1J4qgij1+/t/NsrphHGYOPnXBCsOdvmpgmN8eVHll3SCeo7lR3OvorNl0u7k8zbruoRb923ZHb/JnzMYzEfu+YmM5/1Mec5k3kul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP8AqY85zJv2NDSrkfGmmeJNXudNTRbLSpLaxvYL4yXeoSQu7RkkptWBwAePm3fhW5Lpd3J5m3XdQi37tuyO3+TPmYxmI/d8xMZz/qY85zJvJdLu5PM267qEW/dt2R2/yZ8zGMxH7vmJjOf9THnOZN51T7B0a7mFf6N4gi8U2vibSLfTZb2TThY31jc3kkcYw29WjlWJicMzDlBuBB4xitPwhoEnhvw8tlczpcXMk811cSRKVQySyNIwVSThQWwPYZ6mrUul3cnmbdd1CLfu27I7f5M+ZjGYj93zExnP+pjznMm8l0u7k8zbruoRb923ZHb/ACZ8zGMxH7vmJjOf9THnOZN5tp/Xf8w3/ryt+RpUVmy6XdyeZt13UIt+7bsjt/kz5mMZiP3fMTGc/wCpjznMm8l0u7k8zbruoRb923ZHb/JnzMYzEfu+YmM5/wBTHnOZN4B5J+1X/wAks03/ALDUX/oievba8J/aitZoPhlZPLf3Fyr61HtjlWMLH+7uW42qD0ZV5J4jX+Lcze7UAFFFFABXz7+zR/yTXUP+wvJ/6Jhr6Cr59/Zo/wCSa6h/2F5P/RMNfJcX/wDIrfqjow/xnsNFFFfjZ6AUUUUAc/q+vanbeJLXRtG0y0vJprSS6Z7u9a3VVR1XA2xOSSXHp0rbtmuHtY2vIo4rgqDJHFIZEVu4DFVJHvgfSuV1rQf7Y+I1hJcpfpaR6XOpntLma3AcyxYUvEynkAnaT2zjir0evRWPitfDSq87i1hkhQOXlCZdXkdnbJUbUGeWJbvmvQqUYSpQVJe9a7+9+f6Ii75nfb/gI6GiiivPLCiiigDz/wCK/wB7wR/2N1h/7PXpFeb/ABX+94I/7G6w/wDZ69Ir9e4T/wCRXH1Z5eK/iBRRRX1RyhXP6Z400rWPFN1oWnefNNawmSS4EWICVfYyK5+8ytwcAgdM5BFdBXA/8JT4fb4xRxrruml/7La02i8jz532gfusZ+//ALPWiOskvX8gfwt+n5nfUUUUAFFFFAFDQpfO8O6bL5nm77SJvM8zzN+UHO7zJN2fXzHz/ebqb9UNCl87w7psvmebvtIm8zzPM35Qc7vMk3Z9fMfP95upv0PcYUUUUCOf1jxppWi69p+jT+fPfX00cYjt4t4hDkhXkbgIpIIHc9gcHHQVwvxF8QaNp8+h2t/q9hbXEer2s7wzXKI6xhjlyCchffpXbW9xBeWsVzaTRzwTIHjliYMrqRkEEcEEd6FrG/n/AJA9JW8v8ySiiigAqhp0vmX2qr5m/wAu7Vdvmbtn7iI4x5jbeucbY+udpz5j36oadL5l9qq+Zv8ALu1Xb5m7Z+4iOMeY23rnG2Prnac+Y4Mv0UUUCCs7VtVl01YRbaVf6nLKSBFZqnygDks0jIg7cFsnPAODjRrmPG/jO18I6dArz2iahfuYrJLycQxbh1d3JAVFBye54A5IpDSuzU8P69aeJdGj1KwEqRuzRvFMm2SKRWKujDswIIPJHoSK0657wRHpcHheGDRtXt9ZRHdri9t5lkEs7sXkYlSQCWYnHYEV0NVLRiCiiikBDbS48VWsXmY3WVw3l+Zjdh4edvmDOM9fLbGfvJnEm/WBbS48VWsXmY3WVw3l+Zjdh4edvmDOM9fLbGfvJnEm/W8PhNY7BRRRVDK2oXv9n6fNdfZ7i6Ma5EFtHvkkPQKo9Se5IA6kgAmszRfFEer6pd6Zc6Zf6VqFrGkz216IiWjckK6tE7qRlWH3sgjkVd1zULXTNFuLm/vm0+ALsa8VQfI3HaH5VlABIOWBUdW4BrifBlxbzfEPUZNJ1lPFFrPp8ZuNZ3JI0MiPhLffEFhxtZm2qoYHJYnIoWsrf1sD0jf+tz0WiiigArN16XytOibzPKze2q7vM2ZzcRjGfMTrnGNxznG2TPltpVm69L5WnRN5nlZvbVd3mbM5uIxjPmJ1zjG45zjbJny2ANKiiigAooooA5rQ/GMmvyo1l4b1dbF5pIRfyvaiIFGZGO0TGTG5SPuZ9q6WvKPtXh621nRl+Gut3Fxfy6oDd6XDqc1xGsDsTcGW3d2EIGSc7VIbA74r1ehfDf8AroD+KwUUUUAFZvhyXzvCulS+Z5u+yhbzPM8zflBzu8yTdn18x8/3m6nSrN8OS+d4V0qXzPN32ULeZ5nmb8oOd3mSbs+vmPn+83UgGlRRRQAVzOr+N4dM1C/tLXRdV1ZtNhWa+exSLbbhlLAHzJELttBO1Ax6dyBXTV434zGmX3jDxGmseJYvCU0VrFBFCZzF/bEW0OGkUsPNTdvjxFtf76l8EKJbaKikz12xvbfUtPt76yk823uYllicAjcjDIOD7Gp6yfCtxcXfhDSbi909dNuJLOJpLNUKCBtgygU8qB0wenStatJK0mjOLbimwoooqSjnYpfM1jWF8zf5d2q7fM3bP3ERxjzG29c42x9c7TnzHs1Wil8zWNYXzN/l3art8zds/cRHGPMbb1zjbH1ztOfMezWEtzJ7hRRRUiOf0zxppWseKbrQtO8+aa1hMklwIsQEq+xkVz95lbg4BA6ZyCKbf+MI9MvNt5o2qR2H2lLY6kY4xCHZgo+Uv5m3cQu7ZjnOcc1h/wDCU+H2+MUca67ppf8AstrTaLyPPnfaB+6xn7/+z1qh411bTr55PsHiT+0NRtbyMw+GJvLxLLG4GDEqrOeRvBLFOAxBUU4q/K+/+dvyG95L+trnptFA6c8UUhBVCaXHiKzi8zG60nby/Mxuw8PO3zBnGevltjP3kziS/VCaXHiKzi8zG60nby/Mxuw8PO3zBnGevltjP3kziQQy/RRRQIK53X/GEfh37RNdaPqk1haKr3V/BEnlQA9ThnDuAOSUVsfUEDoq888deKtHvtUbwXc61YaZHKitq1xdXSQmOA8+Um4jc7jjI+6pJPJXIt0ilbqdD4n8b6P4Us4J79prh7nDQwWkfmSOmVBfHACDcMsSByO5APRVwvxN13RbX4dXMT6rYxG8hRrRGuUHnoHQ5QZ+YYwcjNdlYajZarZJeaXeQXtrJnZPbyrIjYODhlJB5BFO2hOvUsUUUUgKGsy+VYxt5nlZu7Zd3mbM5nQYz5idc4xuOc42yZ8tr9UNZl8qxjbzPKzd2y7vM2ZzOgxnzE65xjcc5xtkz5bX6OgwooooEZ2rarLpqwi20q+1OaUkCKzVBtAHLM0jIg7cFsnPAODhmj+ILPWdFbUohJaxRtIk8d0AjwPGSrq/JAKkHJBI9DiqninVtOsIbe31HxK3hxpmLR3WYUV9vVN8yMgPzA44Y4OOAa47StM1bWPAUmmaFFY3Fh/a0ge4uJ5YP7UtN29n37JCTIxwzAbWXdtwCMC1v/X9fmVZWX9d/wCux2XhTxdY+MLO7udMguoY7W5NuftUYQv8quGUZJ2lXUjODz0Fb1cF8N31I6x4uW/srO2QawSfs900u1/Ih+UAxrlcYO7g5JG3jJ72qklpbsvyJ6tebCiiipAn8OS+d4V0qXzPN32ULeZ5nmb8oOd3mSbs+vmPn+83U6VZvhyXzvCulS+Z5u+yhbzPM8zflBzu8yTdn18x8/3m6nSrpNgrO8Qa1b+HPD97q95HNLBZxGV0gALsB2GSBn6kVo1k+KF0d/DF9H4mYLpMkey6ZnZAqEgZLLgqORlsjHUkAUnsNbjLLX7me2urjUPD2p6VFbRGXddvbN5gAJIXypn5474qDw74pn8RRW9wnhzVbCyuoBPDd3b2uxlIBXiOZnBIPdfriuW0G+04+KtSi0HWLrWfCa6Sz30rX8t/HDOG4WOVmdixj3FkVjjCnAJ5h0C40e38aaFZ/DjW5tT0vyJU1K2j1SS+t7aEJ+6OXd/KbeAoUFcjdwdvFLV/157/AHaeRLul/Xlt9/3np9FFFIYVm6XL5mo6yvmb/LvVXb5m7Z/o8JxjzG29c42x9c7TnzH0qzdLl8zUdZXzN/l3qrt8zds/0eE4x5jbeucbY+udpz5jgGlRRRQAVyVt8Q7K5ms5BpOqR6ZfXf2O21V44/IlkJKr8ok81VZlIDMgBJHOCDXWOSqMVXcQMgZ614Po01mJ9D1Gy1eG51Z9X8yXwXvZksHkkCylIN3mRvEN7lnBQHeVRNwwR1ml/W/9enUH8Lf9bHpl18RdOtZrmT+ztSl0uzuvsdzq8ccf2aGTcFYHLiQqrEAsqFQc88HHW9a8Z8WWijStf8I+GfF2l3r6vdy7dFjtxPewyytukUusvyRhtzEvH8qkjOcGvZEXZGq+gAoXwp/1sD+Ky/rsOooooAzZ5ceKrGLzMbrK5by/Mxuw8HO3zBnGevltjP3kziTSrNnlx4qsYvMxusrlvL8zG7Dwc7fMGcZ6+W2M/eTOJNKgAqjrOs2OgaXLqOqz+Tbx4BIUszMThVVQCWYkgAAEkmr1VdS1Sw0exe91e+trC1QgNPdTLEiknAyzEAZPFJjKvhrxBbeKfDlprNlBcW8F0GKxXSBJEwxUhgCcHIPeqHh3xvpfijXNW0zS47ktpZTfcSIBFOGLrujOcsA0bDJABxxkc1x/g++l8Q/Bp9L8Fatpsurr5scn+mYNukk75JKK5Rim4qSp5wcECofDVv4jsfHnimw0vSdF0+eHRbKK2RdQllhhZVmEP/LBSwzndwMY43Z4fd2F9n7vzR21p430u+8dXHhW1juZLu3t2mkuAg8jKlA0YbOS48xMgDAzjOQRXR15H4d07XND+KugaddabpqGPQ7rzpo9TkmabdPE0kzE26ZkLnO3gHcTuGMH1ynb3U/X82hfaa/rZBWV4kl8rRw3meVm7tl3eZszmeMYz5idc4xuOc42yZ8ttWsrxJL5WjhvM8rN3bLu8zZnM8YxnzE65xjcc5xtkz5bS9hkdFFFc5iMmlWCCSVw5WNSxCIXYgDPCjJJ9hzWFpni6K+11dHvdK1HSb2W3NzBHfLFieMEBipjdxkErlTg8jitu7uoLGzmu7uVYbeCNpJZGPCKoySfoBXA+EvEuj+LfFra62s6eZjA9tpWmR3aPOsGQzyugJId9oO3GVVRnknDjq/6/rf8Lj+zf+v6/wCAdDH4wj/ta0s73RtUsIr6VobS7uo41jmcAsBtDmRCVViN6L07Hii/8YR6ZebbzRtUjsPtKWx1IxxiEOzBR8pfzNu4hd2zHOc45rlL3VdO1PxVod3o3iQeIrkagCNIlMZNjG4KvJ5cao6NGpIzNuxkjhiDR411bTr55PsHiT+0NRtbyMw+GJvLxLLG4GDEqrOeRvBLFOAxBUU4q7X9dhvr/Xf+tfM9NooHTniipJCqGhS+d4d02XzPN32kTeZ5nmb8oOd3mSbs+vmPn+83U36oaFL53h3TZfM83faRN5nmeZvyg53eZJuz6+Y+f7zdSdBl+iiigRzt/wCMI9MvNt5o2qR2H2lLY6kY4xCHZgo+Uv5m3cQu7ZjnOcc0a/4sm8PQ3lzc+HNVuLGzjMsl5BJa+XtC5JAedX46Y25yOM1ynjXVtOvnk+weJP7Q1G1vIzD4Ym8vEssbgYMSqs55G8EsU4DEFRW74wb+29c0bwomClzJ9u1Bc9LaEghT/vybF+gamldL+u3/AAX6FOyev9f1t6mnc+IruK3t57fwzq13FNAs5eKS1TysjO1hJMp3DvjI96t+Hdch8SeHrPWLWC4t4LyPzI47gKHC54JCkjnr16Gsbx/dSTaTbeHrKTZea/OLNSp5SHGZ3/CMN+JFdPbW8VpaxW1sgjhhQRxoOiqBgD8qNLN/1/W34k9v6/rqSUUUUgKGnS+Zfaqvmb/Lu1Xb5m7Z+4iOMeY23rnG2Prnac+Y9+qGnS+Zfaqvmb/Lu1Xb5m7Z+4iOMeY23rnG2Prnac+Y9+hjCsnV/EEWlXVvZw2d1qV/chnjs7NUL7F+85LsqKoyBlmGSQBk1rV5z4oj0y1+KEd34o1OfStMudIEMFwuoSWUbTJKzMhkRl52uCFJweeDjg6pf1sNbN/1udRrHi6y8PeHV1XW7a7tHcEJYbFluHcAnYqxsyk4UnhsAckjBp954qsbPw9Y6s0VxINQ8oWlrGgM0zyDKoBnG7HXJAGCScDNcvZa2LD4Q3EvijVRD58d3DZT6nKIpbiLMghzvwS5jCn1PU8k1SbVtPm8KeBdZtdQguNP0m6gTUJreVZEts2rR5kIOFCs65z0zk1VtWn3X43Ftb/t78NvvO40XxHDrF3d2UlndadqFnsM1neBN4RxlXBRmVlOCMhjggg4NbFcZ4fu7fXviNq2taRKlzpkenW9kt3CwaKeUPI7BGHDbQ6gkHGTjqOOzpPZf1/XcT3a/r+ugVDbS48VWsXmY3WVw3l+Zjdh4edvmDOM9fLbGfvJnEk1Q20uPFVrF5mN1lcN5fmY3YeHnb5gzjPXy2xn7yZxI4fEVHc36KKK3NDK1/xBa+HrOGW5inuZrmdbe1tbZQ0txK3RVBIHQEkkgAAkkVmJ4+01NK1a71K0vtNm0cqLuxuI1add4Hl7RGzK4fOAVYjORxg0eO7axbTbC/vdfs9An069S4tL2+K+SJMMpR1Zk3BkZxgMD3B4rz+4kvLjSfG3iO5ay16wv4bOxF1HZyR2rxo7iWZEWRnaOMSbt6vyUYhgBwuj/rt/Wo9Lr+uv+R6LY+MDd6hcadcaBqtjqUVp9sis7nyN1zHnadjpK0eQ2AQzLjcO3NR2njR5fE9loV94b1fTbm9ilmie5a1dAkeNxPlTuRyyjpyT9a5TwJ9ktfiA8Oj+Ix4xtptMHn6rJOLmWyMZRUhMqHYFfLttwHJUsxbqN7wYR4g8R634tJDwTSf2bprdR9nhJDOP9+Xefoq1XVfP9V/l+LJ6P5fp/wAE7SiiikM8S/ar/wCSWab/ANhqL/0RPXtteJftV/8AJLNN/wCw1F/6Inr22gAooooAK+af2e/E+gaL8P7631nXNN0+dtUkkWK7u44mKmKIbgGIOMgjPsa+lq+af2e/DGga18P7641nQ9N1CddUkjWW7tI5WCiKI7QWBOMknHua+X4p9l/Zr9te11tv+JvQvz6Hqv8Awn/g7/obND/8GUP/AMVR/wAJ/wCDv+hs0P8A8GUP/wAVR/wgHg7/AKFPQ/8AwWw//E0f8IB4O/6FPQ//AAWw/wDxNflH/Cd/f/8AJTu98P8AhP8Awd/0Nmh/+DKH/wCKo/4T/wAHf9DZof8A4Mof/iqP+EA8Hf8AQp6H/wCC2H/4mj/hAPB3/Qp6H/4LYf8A4mj/AITv7/8A5KHvh/wn/g7/AKGzQ/8AwZQ//FVQuPEnw+utQS+n8SaG11G0bJKNVjVlKbtuMPxw7gjuGIORxV//AIQDwd/0Keh/+C2H/wCJo/4QDwd/0Keh/wDgth/+JqoywEfhc19wWk+wf8J/4O/6GzQ//BlD/wDFUf8ACf8Ag7/obND/APBlD/8AFUf8IB4O/wChT0P/AMFsP/xNH/CAeDv+hT0P/wAFsP8A8TU/8J39/wD8lD3w/wCE/wDB3/Q2aH/4Mof/AIqj/hP/AAd/0Nmh/wDgyh/+Ko/4QDwd/wBCnof/AILYf/iaP+EA8Hf9Cnof/gth/wDiaP8AhO/v/wDkoe+cP8TPF/hq/bwf9h8Q6Vc/Z/FFlPN5N7G/lRrv3O2G4UZGSeBXf/8ACwfBn/Q3aF/4Mof/AIquA+JnhDw1YN4P+w+HtKtvtHiiygm8myjTzY237kbC8qcDIPBrv/8AhX3gz/oUdC/8FsP/AMTX6nwz7H+zl7K9rve1/wADzsTfn1D/AIWD4M/6G7Qv/BlD/wDFUf8ACwfBn/Q3aF/4Mof/AIqj/hX3gz/oUdC/8FsP/wATR/wr7wZ/0KOhf+C2H/4mvpNDm0D/AIWD4M/6G7Qv/BlD/wDFUf8ACwfBn/Q3aF/4Mof/AIqj/hX3gz/oUdC/8FsP/wATR/wr7wZ/0KOhf+C2H/4mjQNA/wCFg+DP+hu0L/wZQ/8AxVH/AAsHwZ/0N2hf+DKH/wCKo/4V94M/6FHQv/BbD/8AE0f8K+8Gf9CjoX/gth/+Jo0DQP8AhYPgz/obtC/8GUP/AMVR/wALB8Gf9DdoX/gyh/8AiqP+FfeDP+hR0L/wWw//ABNH/CvvBn/Qo6F/4LYf/iaNA0KmlePfCcWjWUd34s0UTrbxrKJNUiZgwUZyTNISc9y7/wC83U2/+Fg+DP8AobtC/wDBlD/8VWfoPgLwZL4c02QeFdBlD2kTb/sEMm7KDnduk3Z9fMfP95up0P8AhX3gz/oUdC/8FsP/AMTTdrhoH/CwfBn/AEN2hf8Agyh/+Ko/4WD4M/6G7Qv/AAZQ/wDxVH/CvvBn/Qo6F/4LYf8A4mj/AIV94M/6FHQv/BbD/wDE0tA0D/hYPgz/AKG7Qv8AwZQ//FUf8LB8Gf8AQ3aF/wCDKH/4qj/hX3gz/oUdC/8ABbD/APE0f8K+8Gf9CjoX/gth/wDiaNA0D/hYPgz/AKG7Qv8AwZQ//FUf8LB8Gf8AQ3aF/wCDKH/4qj/hX3gz/oUdC/8ABbD/APE0f8K+8Gf9CjoX/gth/wDiaNA0D/hYPgz/AKG7Qv8AwZQ//FVUs/HvhNLq/M3izRQj3AaLfqkRBXykHy/vmwNwbgCPnPynO97f/CvvBn/Qo6F/4LYf/iaz9O8BeDHv9VUeFdBfZdqpH2CFtn7iI4xubb1zjbH1ztOd7vQNDQ/4WD4M/wChu0L/AMGUP/xVH/CwfBn/AEN2hf8Agyh/+Ko/4V94M/6FHQv/AAWw/wDxNH/CvvBn/Qo6F/4LYf8A4mloGgf8LB8Gf9DdoX/gyh/+Ko/4WD4M/wChu0L/AMGUP/xVH/CvvBn/AEKOhf8Agth/+Jo/4V94M/6FHQv/AAWw/wDxNGgaB/wsHwZ/0N2hf+DKH/4qj/hYPgz/AKG7Qv8AwZQ//FUf8K+8Gf8AQo6F/wCC2H/4mj/hX3gz/oUdC/8ABbD/APE0aBoH/CwfBn/Q3aF/4Mof/iqP+Fg+DP8AobtC/wDBlD/8VR/wr7wZ/wBCjoX/AILYf/iaP+FfeDP+hR0L/wAFsP8A8TRoGgy28f8AhFdfgl/4S7RRbrazK7f2rEE3FotuR5wBOA2Pkbv8yZIk2f8AhY/gj/ocvD//AINIP/iqwoPAHgo+KrSJ/CmgndZXDCM2EPOHh527hnGevltjP3kziTd/4Vx4I/6E3w//AOCuD/4mto7Gi2D/AIWP4I/6HLw//wCDSD/4qj/hY/gj/ocvD/8A4NIP/iqP+FceCP8AoTfD/wD4K4P/AImj/hXHgj/oTfD/AP4K4P8A4mqGH/Cx/BH/AEOXh/8A8GkH/wAVR/wsfwR/0OXh/wD8GkH/AMVR/wAK48Ef9Cb4f/8ABXB/8TR/wrjwR/0Jvh//AMFcH/xNAB/wsfwR/wBDl4f/APBpB/8AFUf8LH8Ef9Dl4f8A/BpB/wDFUf8ACuPBH/Qm+H//AAVwf/E0f8K48Ef9Cb4f/wDBXB/8TQAf8LH8Ef8AQ5eH/wDwaQf/ABVUdW+Ifg+WyjW18YaGzi6t2Ij1aEHaJkLdJk42g55ORn5ZPuNe/wCFceCP+hN8P/8Agrg/+JrN174e+CItOib/AIRLw/Fm9tV3f2fAmc3EYxnKdc4xuOc42yZ8tgDS/wCFj+CP+hy8P/8Ag0g/+Ko/4WP4I/6HLw//AODSD/4qj/hXHgj/AKE3w/8A+CuD/wCJo/4Vx4I/6E3w/wD+CuD/AOJoAP8AhY/gj/ocvD//AINIP/iqP+Fj+CP+hy8P/wDg0g/+Ko/4Vx4I/wChN8P/APgrg/8AiaP+FceCP+hN8P8A/grg/wDiaAD/AIWP4I/6HLw//wCDSD/4qj/hY/gj/ocvD/8A4NIP/iqP+FceCP8AoTfD/wD4K4P/AImj/hXHgj/oTfD/AP4K4P8A4mgA/wCFj+CP+hy8P/8Ag0g/+Ko/4WP4I/6HLw//AODSD/4qj/hXHgj/AKE3w/8A+CuD/wCJo/4Vx4I/6E3w/wD+CuD/AOJoAP8AhY/gj/ocvD//AINIP/iqo6J8Q/B8OgafFeeMNDW4S1jWVZdWhLhgozuJmkJOeuXf/ebqb3/CuPBH/Qm+H/8AwVwf/E1m+HPh74Im8K6VL/wiXh+XfZQt5n9nwSb8oOd2ZN2fXzHz/ebqQDS/4WP4I/6HLw//AODSD/4qj/hY/gj/AKHLw/8A+DSD/wCKo/4Vx4I/6E3w/wD+CuD/AOJo/wCFceCP+hN8P/8Agrg/+JoAP+Fj+CP+hy8P/wDg0g/+Ko/4WP4I/wChy8P/APg0g/8AiqP+FceCP+hN8P8A/grg/wDiaP8AhXHgj/oTfD//AIK4P/iaAD/hY/gj/ocvD/8A4NIP/iqP+Fj+CP8AocvD/wD4NIP/AIqj/hXHgj/oTfD/AP4K4P8A4mj/AIVx4I/6E3w//wCCuD/4mgA/4WP4I/6HLw//AODSD/4qj/hY/gj/AKHLw/8A+DSD/wCKo/4Vx4I/6E3w/wD+CuD/AOJo/wCFceCP+hN8P/8Agrg/+JoAw18f+EhqepPJ4t0Xy5LhWhLarEQV8qMHb++bA3BuAI+c/Kc73m/4WD4M/wChu0L/AMGUP/xVVYPAPgs6xrCL4U0EiO7VdosIW2fuIjjG5tvXONsfXO058x7X/CvvBn/Qo6F/4LYf/iaxla5m7XD/AIWD4M/6G7Qv/BlD/wDFUf8ACwfBn/Q3aF/4Mof/AIqj/hX3gz/oUdC/8FsP/wATR/wr7wZ/0KOhf+C2H/4mp0FoH/CwfBn/AEN2hf8Agyh/+Ko/4WD4M/6G7Qv/AAZQ/wDxVH/CvvBn/Qo6F/4LYf8A4mj/AIV94M/6FHQv/BbD/wDE0aBoH/CwfBn/AEN2hf8Agyh/+Ko/4WD4M/6G7Qv/AAZQ/wDxVH/CvvBn/Qo6F/4LYf8A4mj/AIV94M/6FHQv/BbD/wDE0aBoH/CwfBn/AEN2hf8Agyh/+KqpJ498JnWbaRfFmi+QtvKrkapFtDFo9uR5wBOA2Dsbv8yZIkt/8K+8Gf8AQo6F/wCC2H/4ms+bwF4MHiOzj/4RXQQWtJ22fYIRuw8PO3cM4z18tsZ+8mcSPQNDQ/4WD4M/6G7Qv/BlD/8AFUf8LB8Gf9DdoX/gyh/+Ko/4V94M/wChR0L/AMFsP/xNH/CvvBn/AEKOhf8Agth/+JpaBoH/AAsHwZ/0N2hf+DKH/wCKo/4WD4M/6G7Qv/BlD/8AFUf8K+8Gf9CjoX/gth/+Jo/4V94M/wChR0L/AMFsP/xNGgaB/wALB8Gf9DdoX/gyh/8AiqP+Fg+DP+hu0L/wZQ//ABVH/CvvBn/Qo6F/4LYf/iaP+FfeDP8AoUdC/wDBbD/8TRoGgf8ACwfBn/Q3aF/4Mof/AIqj/hYPgz/obtC/8GUP/wAVR/wr7wZ/0KOhf+C2H/4mj/hX3gz/AKFHQv8AwWw//E0aBoVNS8e+E5LVBbeLNFLi4hY+XqkQO0SqW6TJxtByMnIz8sn3Gt/8LB8Gf9DdoX/gyh/+KrP1nwF4MisI2PhXQY83dsufsEKZzOgxncnXOMbjnONsmdjaH/CvvBn/AEKOhf8Agth/+Jp6WDQP+Fg+DP8AobtC/wDBlD/8VR/wsHwZ/wBDdoX/AIMof/iqP+FfeDP+hR0L/wAFsP8A8TR/wr7wZ/0KOhf+C2H/AOJpaBoH/CwfBn/Q3aF/4Mof/iqP+Fg+DP8AobtC/wDBlD/8VR/wr7wZ/wBCjoX/AILYf/iaP+FfeDP+hR0L/wAFsP8A8TRoGgf8LB8Gf9DdoX/gyh/+Ko/4WD4M/wChu0L/AMGUP/xVH/CvvBn/AEKOhf8Agth/+Jo/4V94M/6FHQv/AAWw/wDxNGgaB/wsHwZ/0N2hf+DKH/4qj/hYPgz/AKG7Qv8AwZQ//FUf8K+8Gf8AQo6F/wCC2H/4mj/hX3gz/oUdC/8ABbD/APE0aBoWNE+Ifg+HQNPivPGGhrcJaxrKsurQlwwUZ3EzSEnPXLv/ALzdTe/4WP4I/wChy8P/APg0g/8AiqzfDnw98ETeFdKl/wCES8Py77KFvM/s+CTflBzuzJuz6+Y+f7zdTpf8K48Ef9Cb4f8A/BXB/wDE10Gof8LH8Ef9Dl4f/wDBpB/8VR/wsfwR/wBDl4f/APBpB/8AFUf8K48Ef9Cb4f8A/BXB/wDE0f8ACuPBH/Qm+H//AAVwf/E0AH/Cx/BH/Q5eH/8AwaQf/FUf8LH8Ef8AQ5eH/wDwaQf/ABVH/CuPBH/Qm+H/APwVwf8AxNH/AArjwR/0Jvh//wAFcH/xNAB/wsfwR/0OXh//AMGkH/xVH/Cx/BH/AEOXh/8A8GkH/wAVR/wrjwR/0Jvh/wD8FcH/AMTR/wAK48Ef9Cb4f/8ABXB/8TQAf8LH8Ef9Dl4f/wDBpB/8VVGw+Ifg9L3U2n8YaGEkulaEvq0JBXyYx8uZmwNwboI+c/Kfvve/4Vx4I/6E3w//AOCuD/4ms3S/h74Ik1HWV/4RLw+/l3qrt/s+Btn+jwnGMtt65xtj652nPmOAaX/Cx/BH/Q5eH/8AwaQf/FUf8LH8Ef8AQ5eH/wDwaQf/ABVH/CuPBH/Qm+H/APwVwf8AxNH/AArjwR/0Jvh//wAFcH/xNAB/wsfwR/0OXh//AMGkH/xVH/Cx/BH/AEOXh/8A8GkH/wAVR/wrjwR/0Jvh/wD8FcH/AMTR/wAK48Ef9Cb4f/8ABXB/8TQAf8LH8Ef9Dl4f/wDBpB/8VR/wsfwR/wBDl4f/APBpB/8AFUf8K48Ef9Cb4f8A/BXB/wDE0f8ACuPBH/Qm+H//AAVwf/E0AH/Cx/BH/Q5eH/8AwaQf/FUf8LH8Ef8AQ5eH/wDwaQf/ABVH/CuPBH/Qm+H/APwVwf8AxNH/AArjwR/0Jvh//wAFcH/xNAFGX4h+Dzr9pKvjDQ/s62s6uw1aHYGLRbcjzgM4DY+Ruh+ZMkSXv+Fj+CP+hy8P/wDg0g/+KrNn+HvggeKrGL/hEvD43WVy3l/2fAN2Hg525GcZ6+W2M/eTOJNL/hXHgj/oTfD/AP4K4P8A4mgA/wCFj+CP+hy8P/8Ag0g/+Ko/4WP4I/6HLw//AODSD/4qj/hXHgj/AKE3w/8A+CuD/wCJo/4Vx4I/6E3w/wD+CuD/AOJoAP8AhY/gj/ocvD//AINIP/iqP+Fj+CP+hy8P/wDg0g/+Ko/4Vx4I/wChN8P/APgrg/8AiaP+FceCP+hN8P8A/grg/wDiaAD/AIWP4I/6HLw//wCDSD/4qj/hY/gj/ocvD/8A4NIP/iqP+FceCP8AoTfD/wD4K4P/AImj/hXHgj/oTfD/AP4K4P8A4mgA/wCFj+CP+hy8P/8Ag0g/+KrO1z4heD5tMCWnjDQ2k+0QMRFqsIO0SoW6TJxtByMnIz8sn3G0f+FceCP+hN8P/wDgrg/+JrK8R/D7wRDo6uPCXh+I/a7Vd39nwJ1njGM7o+ucY3HOcbZM+Ww9gE/4WD4M/wChu0L/AMGUP/xVH/CwfBn/AEN2hf8Agyh/+Ko/4V94M/6FHQv/AAWw/wDxNH/CvvBn/Qo6F/4LYf8A4mufQy0D/hYPgz/obtC/8GUP/wAVR/wsHwZ/0N2hf+DKH/4qj/hX3gz/AKFHQv8AwWw//E0f8K+8Gf8AQo6F/wCC2H/4mjQNA/4WD4M/6G7Qv/BlD/8AFUf8LB8Gf9DdoX/gyh/+Ko/4V94M/wChR0L/AMFsP/xNH/CvvBn/AEKOhf8Agth/+Jo0DQP+Fg+DP+hu0L/wZQ//ABVH/CwfBn/Q3aF/4Mof/iqP+FfeDP8AoUdC/wDBbD/8TR/wr7wZ/wBCjoX/AILYf/iaNA0D/hYPgz/obtC/8GUP/wAVVTSvHvhOLRrKO78WaKJ1t41lEmqRMwYKM5JmkJOe5d/95upt/wDCvvBn/Qo6F/4LYf8A4ms/QfAXgyXw5psg8K6DKHtIm3/YIZN2UHO7dJuz6+Y+f7zdS9LBoaH/AAsHwZ/0N2hf+DKH/wCKo/4WD4M/6G7Qv/BlD/8AFUf8K+8Gf9CjoX/gth/+Jo/4V94M/wChR0L/AMFsP/xNLQNA/wCFg+DP+hu0L/wZQ/8AxVH/AAsHwZ/0N2hf+DKH/wCKo/4V94M/6FHQv/BbD/8AE0f8K+8Gf9CjoX/gth/+Jo0DQP8AhYPgz/obtC/8GUP/AMVR/wALB8Gf9DdoX/gyh/8AiqP+FfeDP+hR0L/wWw//ABNH/CvvBn/Qo6F/4LYf/iaNA0D/AIWD4M/6G7Qv/BlD/wDFUf8ACwfBn/Q3aF/4Mof/AIqj/hX3gz/oUdC/8FsP/wATR/wr7wZ/0KOhf+C2H/4mjQNCpZ+PfCaXV+ZvFmihHuA0W/VIiCvlIPl/fNgbg3AEfOflOd72/wDhYPgz/obtC/8ABlD/APFVn6d4C8GPf6qo8K6C+y7VSPsELbP3ERxjc23rnG2Prnac730P+FfeDP8AoUdC/wDBbD/8TT0DQP8AhYPgz/obtC/8GUP/AMVR/wALB8Gf9DdoX/gyh/8AiqP+FfeDP+hR0L/wWw//ABNH/CvvBn/Qo6F/4LYf/iaWgaB/wsHwZ/0N2hf+DKH/AOKo/wCFg+DP+hu0L/wZQ/8AxVH/AAr7wZ/0KOhf+C2H/wCJo/4V94M/6FHQv/BbD/8AE0aBoH/CwfBn/Q3aF/4Mof8A4qj/AIWD4M/6G7Qv/BlD/wDFUf8ACvvBn/Qo6F/4LYf/AImj/hX3gz/oUdC/8FsP/wATRoGgf8LB8Gf9DdoX/gyh/wDiqZbeP/CK6/BL/wAJdoot1tZldv7ViCbi0W3I84AnAbHyN3+ZMkSP/wCFfeDP+hR0L/wWw/8AxNQQeAPBR8VWkT+FNBO6yuGEZsIecPDzt3DOM9fLbGfvJnElRtcatc3f+Fj+CP8AocvD/wD4NIP/AIqj/hY/gj/ocvD/AP4NIP8A4qj/AIVx4I/6E3w//wCCuD/4mj/hXHgj/oTfD/8A4K4P/ia2NA/4WP4I/wChy8P/APg0g/8AiqP+Fj+CP+hy8P8A/g0g/wDiqP8AhXHgj/oTfD//AIK4P/iaP+FceCP+hN8P/wDgrg/+JoAP+Fj+CP8AocvD/wD4NIP/AIqj/hY/gj/ocvD/AP4NIP8A4qj/AIVx4I/6E3w//wCCuD/4mj/hXHgj/oTfD/8A4K4P/iaAD/hY/gj/AKHLw/8A+DSD/wCKo/4WP4I/6HLw/wD+DSD/AOKo/wCFceCP+hN8P/8Agrg/+Jo/4Vx4I/6E3w//AOCuD/4mgDx/9pXxZ4c174bafa6Hr+l6lcJq0cjRWd7HM6qIZgWIUk4yQM+4r6Er57/aV8J+HNB+G2n3Wh6Bpem3D6tHG0tnZRwuymGYlSVAOMgHHsK+hKACiiigAr59/Zo/5JrqH/YXk/8ARMNfQVfPv7NH/JNdQ/7C8n/omGvkuL/+RW/VHRh/jPWb+9j07Tbm9nDNFbQvM4QZYhQScZ78V5/F8cPDkrW+3S9fC3kW+yf+zmIvHAGY4sH5mBOD/Dkdehru9as5NR0HULKAqstzbSQoXOFBZSBnHbmuLsPAWqWs3w+eSe0I8M280V5tdv3heERjy/l5GR3xxX5jgY4J05PE7621ttFvs92kvmds+bTl8/0t+pbi+K/h2TwjJr7pfRLHdmxNjJb4ujc/88QgP3vbP1xRafFfw9Pour399FqGlSaOqtd2OoWxiuEDfc+TJzuJAHPcZxWFd/DDWZbLU5rS+sYtS/4Sd9e04vvaIjAASXgEd84zTLz4Xa94k03xHd+KdR09Nc1aKCKD7Aj/AGe3WFg6/e+Y7mHOc47Z6V6Kw+UPVzsrrrqleOlraqzevdfJzeadv63f3aWKMPxGnvfiTqOoRQ6xYWVj4Wmum0vUo2h/epICH8vJU5XGGHY1VvvEXiPRfAvgGJfFLaVPrjtJfanfKk+wOA4z5vAA3YxkYwK2G8A+MdU1fVNX8T3ukSXF54dn0pItOWRQjMcofnHIPJJ45OAO9VtG8Mv4+8F/Dy7K2c1po3yahb3gLeZsURldpUgnKHIOK9BTwMeWa5XGNk/tK/JOy1Wuvdauxn7/AF8/yj/wT0Pwg1w/huF7rxJB4mdncjUreKONJBuIwBGSvGMcHtTfF3jDTfBWmW9/rCXDQXF0lqDbx7yrMCQSM5x8p6ZPtXJeLtWl8EeKNBtfD1vb2OmPaTLNGqbbW1Vrm3BneJCoON7DjGC5J4zUd1b678TdLjmjSxtrPTfFCz2UrF1+02kBKl/4ssWJxwoOPxPjQwUZzjiqztSk32XVq1krJ+SXysac3LePVf5XRPqfjWLxp4B8VRaEusaLq+k2xleG4Q21zEwUyIflJOG2kYzyO3Ndn4W1Y694R0nVXXa95ZxTMPRmUEj864fxXpl14Xi+Ivii5mt/s2rafBDaIrEuHWJosMCMcs4xgmuz8G6ZLovgfRdNuf8AXWtjFFJ7MEGf1qMZDDrCqVHZyVuu8IuSv5OyHrzpPz/S36nM/Ff73gj/ALG6w/8AZ69Irzf4r/e8Ef8AY3WH/s9ekV+h8J/8iuPqzz8V/ECiiivqjlCuE0jxjr918WbjwzqumWljZDTGvoAshknOJQgLsDtGeTtAOOOa7uvJoYvHTfGlfEcvgjy7BrQaWz/2tAdsXnbvPx1PHOzGfenDWaT8/wAv8x/Zf9df8j1miiikIKKKKAKGhS+d4d02XzPN32kTeZ5nmb8oOd3mSbs+vmPn+83U36oaFL53h3TZfM83faRN5nmeZvyg53eZJuz6+Y+f7zdTfoe4wooooEcJ448Y6/4b8QaFb2GmWn9mahqcFjNdXMhZ38w8iNFIxgA/M3fsetd3Xl/xStPGGsaxosHh7wn/AGjZ6VqEGpfav7Shi81kzmLY+CvX73P0r0fTprm50y2nv7T7FdSRK01t5gk8lyMlNw4bB4yOtNfB83+n/BHLden9foWaKKKQgqhp0vmX2qr5m/y7tV2+Zu2fuIjjHmNt65xtj652nPmPfqhp0vmX2qr5m/y7tV2+Zu2fuIjjHmNt65xtj652nPmODL9FFFAgrjPHHi3V9J1jRfD3hW0s59Z1hpDE9+XEEMca7mZtnJ9BiuzrgPH+ha+fFnh3xZ4W0+LVbnSPOim0951gM0cq4yHbgY680K11fb+v1KWz7mj8P/FmoeJbTU7bX7O3tNX0i8azu0tmJicgAh1zyAc9DnpXXVxXw38PavpUWtar4khhttS1y/a7e1hk8wW64AVCw4JHOSOK7Wm+novvtr+JPV28wooopAQ20uPFVrF5mN1lcN5fmY3YeHnb5gzjPXy2xn7yZxJv1gW0uPFVrF5mN1lcN5fmY3YeHnb5gzjPXy2xn7yZxJv1vD4TWOwUUUVQytqM91a6bPNYWZvrlFzFbiRY/MbsNzcAe/8APpXI/DDxfrPi7TdafxFbWVvd6Zq01hsst+zCBe7EknLHnjPoK6vV7m+s9HurjSdP/tK9jjLQ2fnLD5zdl3twv1Neb/CGw8Y6Nqev2/ifwn/ZVpqmoT6ot1/aUM2x5CgEOxMk8Anfx06UR+J+n43X6XB/CvX9H/wD1SiiigArN16XytOibzPKze2q7vM2ZzcRjGfMTrnGNxznG2TPltpVm69L5WnRN5nlZvbVd3mbM5uIxjPmJ1zjG45zjbJny2ANKiiigAooooA8/wBG8beIrv4w3PhbV9Ks7CwGltf24WQyXBxKIwXYHYM8naAccfNXoFePQReP2+OS+JpvAfl6c1mNJaT+2IDti8/d9ox1Py87MZ969hoXwRf9bv8ASwP4n/XT/MKKKKACs3w5L53hXSpfM83fZQt5nmeZvyg53eZJuz6+Y+f7zdTpVm+HJfO8K6VL5nm77KFvM8zzN+UHO7zJN2fXzHz/AHm6kA0qKKKACvK/E3xC8YP4n8Qaf4F0vSZ7bwxAkuoyak0gedmQvshCYAIUHlu/6+qV47r3hvxzoXjHxdP4S0O11iy8WQRr58l6kH2CQRmMsyty4+YnC1Mr9Ozt69P1KVuvl93U9M8K6/F4p8J6ZrkERhS/tkn8otu2Ejlc98HIzWtWH4K8Pt4V8D6RockiyyWNqkUjrnDOB8xGe2c1uVpO3M7bGcL8qvuFFFFSUc7FL5msawvmb/Lu1Xb5m7Z+4iOMeY23rnG2Prnac+Y9mq0UvmaxrC+Zv8u7Vdvmbtn7iI4x5jbeucbY+udpz5j2awluZPcKKKKkRzXj3XdZ8O+FbvUdA06C8mt4ZJne5l2xQqi7iSB8zE4wAMe5FX/CuqT654Q0jVbtY0nvbKK4kWIEKGdAxABJOMn1NY/xKGvXPg670zw1oX9sTajDJbSf6ZHB9nVkI3/Pw3J6ZFP+G6a3a+B7HT/Emi/2Rc6fFHaIn2pJ/OREUCTKcLk5+XnGOtOPwy+X63/Qctl8/wBP+CdXRRRSEFUJpceIrOLzMbrSdvL8zG7Dw87fMGcZ6+W2M/eTOJL9UJpceIrOLzMbrSdvL8zG7Dw87fMGcZ6+W2M/eTOJBDL9FFFAgqtqE9zbafNNY2hvbhVzHbiQJ5jem48Ae/8APpVmqerXN5aaTc3Gl2H9o3kcZaG084Rec3Zd7cL9TSew1ucz8N/Fer+KtP1htft7O3utO1WWx2We7ZhAvdiSTknnjPoK7KvMvhTZeLdI1LXIPEfhf+zLXUr+fU1uf7Qim2O5UCHamSeATu46dK9Nq5dPRflr+IPd27sKKKKkRQ1mXyrGNvM8rN3bLu8zZnM6DGfMTrnGNxznG2TPltfqhrMvlWMbeZ5Wbu2Xd5mzOZ0GM+YnXOMbjnONsmfLa/R0GFFFFAhskixRNI5wqKWY+gFeRWXxV8Uy2+meJrrSNLTwjqmoCyhCySfbIgzlFkcn5MZBOAP8a9buIVuLWWB/uyIUPGeCMV4npvgfxw+haN4F1DSbWHRtK1JbmTWheK32iJZC4VYh8ysd3U+n404W5tfL7r6/gN/B9/5afie4UUUUhBRRRQBP4cl87wrpUvmebvsoW8zzPM35Qc7vMk3Z9fMfP95up0qzfDkvneFdKl8zzd9lC3meZ5m/KDnd5km7Pr5j5/vN1OlXSbBRRRQB5/498beIvC/iPw/bafpVn/Zeo6pb2E13dSFnfzTyI0UjbgA/Mx6/wkc16BXlHxas/Guta1ocHhvwf/aVlpGo2+p/a/7Thh85kzmLY+CvUfNz9K9O02e6utLtZ9Rs/sN3LCrz2vmiTyXIyybxw2DxkdcUR+D5v7tP+CEviXp/n/wCzRRRQAVm6XL5mo6yvmb/AC71V2+Zu2f6PCcY8xtvXONsfXO058x9Ks3S5fM1HWV8zf5d6q7fM3bP9HhOMeY23rnG2Prnac+Y4BpUUUUAFct8QvEGt+GvCN5qXh3Tbe9nt4ZJpHupdsUKIu4kgfM5OMBRj3Irqa434or4huvBN5pfhbw//bU+pwy2sv8Apsdv9nVkI8z5+G5PQEVE78rtuXC3Mr7G14S1afXvBejaveJGlxf2MNxKsQIQM6BiACScZPcmtiuR+GCa9a+A9P03xPof9jXWmwx2aR/a47jz0SNQJcpwuTn5cnGOtddW1S3O7bGUb8quFFFFQUZs8uPFVjF5mN1lct5fmY3YeDnb5gzjPXy2xn7yZxJpVmzy48VWMXmY3WVy3l+Zjdh4OdvmDOM9fLbGfvJnEmlQAUUUUAc34/8AFyeBvBF/rzWxuntwqwwA48yR2CqCewyRn2rnfCvjPxcnjxPCvj+w0mK5vLA31ncaU8mwhWAaNg+TuGc5HHHfOa1vip4TvPGnw7v9I0uSNL5jHNbmX7pdHDAE9s4xn3rA8L6P4w1/4l2/i3xlodv4fi07TWsre0S8S5eV3YFpCycBcZGDz9etEfi1/pW0+dw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Recurrence Equations - Generalised Fibonacci-like sequences","description":"This problem is inspired by problems \u003chttp://uk.mathworks.com/matlabcentral/cody/problems/2187-generalized-fibonacci 2187\u003e, \u003chttp://uk.mathworks.com/matlabcentral/cody/problems/3092-return-fibonacci-sequence-do-not-use-loop-and-condition 3092\u003e and \u003chttp://uk.mathworks.com/matlabcentral/cody/?term=tag%3A%22fibonacci%22 other problems\u003e based on Fibonacci sequence.\r\n\r\nI haven't seen here many problems based on other recursive sequences such as \u003chttp://oeis.org/A000032 Lucas numbers\u003e, \u003chttp://oeis.org/A000129 Pell numbers\u003e, \u003chttp://oeis.org/A000931 Padovan sequence\u003e or \u003chttp://oeis.org/A000073 Tribonacci numbers\u003e so this is a problem about them all.\r\n\r\nYour function input will be _N_, _Init_ and _Rules_. _Init_ and _Rules_ represent initial values of sequence and a kernel which denotes recurrence relation:\r\n\r\n    Init  : [ A1 A2 ... Ak]\r\n    Rules : [ Ck ... C2 C1]\r\n  \r\n    function: f(n) = (Ck) * f(n-k) + ... + (C2) * f(n-2) + (C1) * f(n-1)\r\n              and f(1) = A1, f(2) = A2, ..., f(k) = Ak,\r\n\r\n_Init_ and _Rules_ have the same length, _N_ may be a single number or a vector. Your function should return values of _f(N)_. Example:\r\n\r\n   % Fibonacci sequence:      f(1)=f(2)=1, f(n)=f(n-2)+f(n-1)\r\n    \u003e\u003e Init = [1 1];\r\n    \u003e\u003e Rules = [1 1];\r\n    \u003e\u003e N = 1:10;\r\n    \u003e\u003e fibonacci = recurrence_seq(N,Init,Rules),\r\n    fibonacci = \r\n        1   1   2   3   5   8  13  21  34  55\r\n   \r\n    \r\n     \r\n\r\nOther info:\r\n\r\n* Different approaches may lead to solutions which won't be able to compute _f(n)_ for _n_ being equal 0 or negative integer. If your solution doesn't return correct answer for those numbers it will still pass if it returns NaNs for _n\u003c1_.\r\n* Please, try to avoid unnecessary things like strings, _ans_, etc. ","description_html":"\u003cp\u003eThis problem is inspired by problems \u003ca href = \"http://uk.mathworks.com/matlabcentral/cody/problems/2187-generalized-fibonacci\"\u003e2187\u003c/a\u003e, \u003ca href = \"http://uk.mathworks.com/matlabcentral/cody/problems/3092-return-fibonacci-sequence-do-not-use-loop-and-condition\"\u003e3092\u003c/a\u003e and \u003ca href = \"http://uk.mathworks.com/matlabcentral/cody/?term=tag%3A%22fibonacci%22\"\u003eother problems\u003c/a\u003e based on Fibonacci sequence.\u003c/p\u003e\u003cp\u003eI haven't seen here many problems based on other recursive sequences such as \u003ca href = \"http://oeis.org/A000032\"\u003eLucas numbers\u003c/a\u003e, \u003ca href = \"http://oeis.org/A000129\"\u003ePell numbers\u003c/a\u003e, \u003ca href = \"http://oeis.org/A000931\"\u003ePadovan sequence\u003c/a\u003e or \u003ca href = \"http://oeis.org/A000073\"\u003eTribonacci numbers\u003c/a\u003e so this is a problem about them all.\u003c/p\u003e\u003cp\u003eYour function input will be \u003ci\u003eN\u003c/i\u003e, \u003ci\u003eInit\u003c/i\u003e and \u003ci\u003eRules\u003c/i\u003e. \u003ci\u003eInit\u003c/i\u003e and \u003ci\u003eRules\u003c/i\u003e represent initial values of sequence and a kernel which denotes recurrence relation:\u003c/p\u003e\u003cpre\u003e    Init  : [ A1 A2 ... Ak]\r\n    Rules : [ Ck ... C2 C1]\u003c/pre\u003e\u003cpre\u003e    function: f(n) = (Ck) * f(n-k) + ... + (C2) * f(n-2) + (C1) * f(n-1)\r\n              and f(1) = A1, f(2) = A2, ..., f(k) = Ak,\u003c/pre\u003e\u003cp\u003e\u003ci\u003eInit\u003c/i\u003e and \u003ci\u003eRules\u003c/i\u003e have the same length, \u003ci\u003eN\u003c/i\u003e may be a single number or a vector. Your function should return values of \u003ci\u003ef(N)\u003c/i\u003e. Example:\u003c/p\u003e\u003cpre\u003e   % Fibonacci sequence:      f(1)=f(2)=1, f(n)=f(n-2)+f(n-1)\r\n    \u0026gt;\u0026gt; Init = [1 1];\r\n    \u0026gt;\u0026gt; Rules = [1 1];\r\n    \u0026gt;\u0026gt; N = 1:10;\r\n    \u0026gt;\u0026gt; fibonacci = recurrence_seq(N,Init,Rules),\r\n    fibonacci = \r\n        1   1   2   3   5   8  13  21  34  55\u003c/pre\u003e\u003cp\u003eOther info:\u003c/p\u003e\u003cul\u003e\u003cli\u003eDifferent approaches may lead to solutions which won't be able to compute \u003ci\u003ef(n)\u003c/i\u003e for \u003ci\u003en\u003c/i\u003e being equal 0 or negative integer. If your solution doesn't return correct answer for those numbers it will still pass if it returns NaNs for \u003ci\u003en\u0026lt;1\u003c/i\u003e.\u003c/li\u003e\u003cli\u003ePlease, try to avoid unnecessary things like strings, \u003ci\u003eans\u003c/i\u003e, etc.\u003c/li\u003e\u003c/ul\u003e","function_template":"function values = recurrence_seq(N, Init, Rules)\r\n  values = N;\r\n  values(N\u003c1) = NaN;\r\n\r\n\r\n\r\nend","test_suite":"%% Fibonacci\r\nInit = [1,1];\r\nRules = [1,1];\r\nN = 1:10;\r\nvalues_correct = [1 1 2 3 5 8 13 21 34 55];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Fibonacci - shifted\r\nInit = [2,3];\r\nRules = [1,1];\r\nN = 1:10;\r\nvalues_correct = [2, 3, 5, 8, 13, 21, 34, 55, 89, 144];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Fibonacci - negative n\r\nInit = [1,1];\r\nRules = [1,1];\r\nN = -5:5;\r\nvalues_correct = [5, -3, 2, -1, 1, 0, 1, 1, 2, 3, 5];\r\nvalues_accepted = [nan, nan, nan, nan, nan, nan, 1, 1, 2, 3, 5];\r\nvalues = recurrence_seq(N, Init, Rules);\r\nassert(isequal(values,values_correct)||isequaln(values,values_accepted))\r\n%% Lucas numbers\r\nInit = [1,3];\r\nRules = [1,1];\r\nN = 1:10;\r\nvalues_correct = [1, 3, 4, 7, 11, 18, 29, 47, 76, 123];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Padovan sequence\r\nInit = [1, 1, 1];\r\nRules = [1, 1, 0];\r\nN = 4:21;\r\nvalues_correct = [2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 114, 151, 200];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Pell numbers\r\nInit = [0, 1];\r\nRules = [1, 2];\r\nN = 4:3:19;\r\nvalues_correct = [5, 70, 985, 13860, 195025, 2744210];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% 3^n-2^n sequence\r\nInit = [3-2, 9-4];\r\nRules = [-6 5];\r\nN = 1:10;\r\nvalues_correct = [1, 5, 19, 65, 211, 665, 2059, 6305, 19171, 58025];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Perrin sequence\r\nInit = [3, 0, 2];\r\nRules = [1, 1, 0];\r\nN = [28:38, 10:-1:1];\r\nvalues_correct = [1983, 2627, 3480, 4610, 6107, 8090, 10717, 14197, 18807, 24914, 33004, 12, 10, 7, 5, 5, 2, 3, 2, 0, 3];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% \r\nInit = [3, 0, 2]; % Perrin init\r\nRules = [1, 1, 1]; % Tribonacci rules\r\nN = [1:15];\r\nvalues_correct = [3, 0, 2, 5, 7, 14, 26, 47, 87, 160, 294, 541, 995, 1830, 3366];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Tribonacci\r\nInit = [0, 0, 1];\r\nRules = [1, 1, 1];\r\nN = [1:23];\r\nvalues_correct = [0, 0, 1, 1, 2, 4, 7, 13, 24, 44, 81, 149, 274, 504, 927, 1705, 3136, 5768, 10609, 19513, 35890, 66012, 121415];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Tetranacci\r\nInit = [0, 0, 0, 1];\r\nRules = [1, 1, 1, 1];\r\nN = [20:23];\r\nvalues_correct = [20569, 39648, 76424, 147312];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Heptanacci\r\nInit = [0, 0, 0, 0, 0, 0, 1];\r\nRules = [1, 1, 1, 1, 1, 1, 1];\r\nN = [7:15, 19];\r\nvalues_correct = [1, 1, 2, 4, 8, 16, 32, 64, 127, 2000];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%%\r\nInit = [1, -1];\r\nRules = [1, -1];\r\nN = 1:10;\r\nvalues_correct = [1, -1, 2, -3, 5, -8, 13, -21, 34, -55];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%%\r\nInit = [1, -1];\r\nRules = [-1, 1];\r\nN = 1:10;\r\nvalues_correct = [1, -1, -2, -1, 1, 2, 1, -1, -2, -1];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%%\r\nInit = [1, -1];\r\nRules = [1, 1];\r\nN = 1:10;\r\nvalues_correct = [1, -1, 0, -1, -1, -2, -3, -5, -8, -13];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%%\r\nInit = [1, 1];\r\nRules = [2, -1];\r\nN = 1:10;\r\nvalues_correct = ones(1,10);\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%%\r\nInit = [1, 2];\r\nRules = [2, -1];\r\nN = 1:10;\r\nvalues_correct = [1, 2, 0, 4, -4, 12, -20, 44, -84, 172];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Jacobsthal numbers\r\nInit = [0, 1];\r\nRules = [2, 1];\r\nN = 1:10;\r\nvalues_correct = [0, 1, 1, 3, 5, 11, 21, 43, 85, 171];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% A028242\r\nInit = [1, 0, 2];\r\nRules = [-1 1 1];\r\nN = 1:20;\r\nvalues_correct = [1, 0, 2, 1, 3, 2, 4, 3, 5, 4, 6, 5, 7, 6, 8, 7, 9, 8, 10, 9];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%%\r\n\r\n","published":true,"deleted":false,"likes_count":18,"comments_count":3,"created_by":14358,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":414,"test_suite_updated_at":"2015-04-02T15:23:44.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2015-04-02T14:52:53.000Z","updated_at":"2026-03-26T04:58:55.000Z","published_at":"2015-04-02T14:54:17.000Z","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\u003eThis problem is inspired by problems\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://uk.mathworks.com/matlabcentral/cody/problems/2187-generalized-fibonacci\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e2187\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\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://uk.mathworks.com/matlabcentral/cody/problems/3092-return-fibonacci-sequence-do-not-use-loop-and-condition\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e3092\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e and\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://uk.mathworks.com/matlabcentral/cody/?term=tag%3A%22fibonacci%22\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eother problems\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e based on Fibonacci sequence.\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\u003eI haven't seen here many problems based on other recursive sequences such as\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://oeis.org/A000032\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eLucas numbers\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\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://oeis.org/A000129\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePell numbers\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\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://oeis.org/A000931\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePadovan sequence\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e or\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://oeis.org/A000073\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eTribonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e so this is a problem about them all.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour function input will be\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,\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\u003eInit\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\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\u003eRules\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: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\u003eInit\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\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\u003eRules\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e represent initial values of sequence and a kernel which denotes recurrence relation:\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[    Init  : [ A1 A2 ... Ak]\\n    Rules : [ Ck ... C2 C1]\\n\\n    function: f(n) = (Ck) * f(n-k) + ... + (C2) * f(n-2) + (C1) * f(n-1)\\n              and f(1) = A1, f(2) = A2, ..., f(k) = Ak,]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInit\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\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\u003eRules\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e have the same length,\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 may be a single number or a vector. Your function should return values of\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\u003ef(N)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. 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[   % Fibonacci sequence:      f(1)=f(2)=1, f(n)=f(n-2)+f(n-1)\\n    \u003e\u003e Init = [1 1];\\n    \u003e\u003e Rules = [1 1];\\n    \u003e\u003e N = 1:10;\\n    \u003e\u003e fibonacci = recurrence_seq(N,Init,Rules),\\n    fibonacci = \\n        1   1   2   3   5   8  13  21  34  55]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOther info:\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\u003eDifferent approaches may lead to solutions which won't be able to compute\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\u003ef(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e for\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 being equal 0 or negative integer. If your solution doesn't return correct answer for those numbers it will still pass if it returns NaNs for\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\u0026lt;1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\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\u003ePlease, try to avoid unnecessary things like strings,\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\u003eans\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, etc.\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":56225,"title":"Easy Sequences 76:  Not so easy as Pisano Pi","description":"Pisano period , of an integer , is the period in which the sequence of Fibonacci numbers modulo  repeats. For example it is not hard to show that ,  and  are ,  and , respectively:\r\n            \r\nThis problem is a bit different from the previous Problem 56220. Easy Sequences 75: Easy as Pisano Pi.\r\nIn this problem, aside from , we are given the exponent  and modular base , and we are asked to calculate: \r\n    \u003e\u003e mod(pisanoPi(n^e),m).","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 348px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 174px; transform-origin: 407px 174px; 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: 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\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Pisano_period\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003ePisano period\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"31\" height=\"19\" style=\"width: 31px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e of an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eis the period in which the sequence of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFibonacci numbers \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003emodulo \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e repeats. \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor example it is not hard to show that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"31\" height=\"19\" style=\"width: 31px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"31\" height=\"19\" style=\"width: 31px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"31\" height=\"19\" style=\"width: 31px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e3\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThis problem is a bit different from the previous \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56220-easy-sequences-75-easy-as-pisano-pi\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 56220. Easy Sequences 75: Easy as Pisano Pi\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIn this problem, aside from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, we are given the exponent \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ee\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e and modular base \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, and we are asked to calculate: \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10px; transform-origin: 404px 10px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e    \u0026gt;\u0026gt; mod(pisanoPi(n^e),m).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = pisanoPi(n,e,m)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 1:10;\r\np_correct = [1 3 8 6 20 24 16 12 24 60];\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 1:10; e = 3;\r\np_correct = [1 12 72 96 500 72 784 768 1944 1500];\r\nassert(isequal(pisanoPi(n,e),p_correct))\r\n%%\r\nn = (5:5:100)+1; e = repmat([2,5],1,10); m = 3:3:60;\r\np_correct = [0 4 6 0 12 12 6 16 24 18 12 24 33 28 18 24 30 52 54 50];\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = 1234; e = 100; m = 1000000;\r\np_correct = 954176;\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = [1111 2222 3333 4444 5555 6666 7777 8888 9999];\r\ne = [1111 2222 3333 4444 5555 6666 7777 8888 9999];\r\nm = 1000000;\r\np_correct = [580050 270400 752200 177600 312500 974400 184400 137600 600];\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = 19531250; e = 1000; m = 123456789;\r\np_correct = 35683881;\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = 102334155; e = 2;\r\np_correct = 8186732400;\r\nassert(isequal(pisanoPi(n,e),p_correct))\r\n%%\r\nn = 123456789; e = 123; m = 456789;\r\np_correct = 231084;\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = 1000:2000; e = 1000; m = 2000;\r\np = pisanoPi(n,e,m);\r\ns = floor([mean(p) mode(p) median(p) std(p)]);\r\ns_correct = [831 0 830 615];\r\nassert(isequal(s,s_correct))\r\n%%\r\nfiletext = fileread('pisanoPi.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":3,"created_by":255988,"edited_by":255988,"edited_at":"2022-10-06T19:38:45.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-06T08:32:13.000Z","updated_at":"2026-03-23T12:31:39.000Z","published_at":"2022-10-06T19:38:45.000Z","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:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Pisano_period\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ePisano period\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e of an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eis the period in which the sequence of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emodulo \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e repeats. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eFor example it is not hard to show that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(3)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(4)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, respectively:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"201\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"649\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\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\u003eThis problem is a bit different from the previous \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56220-easy-sequences-75-easy-as-pisano-pi\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 56220. Easy Sequences 75: Easy as Pisano Pi\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\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIn this problem, aside from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, we are given the exponent \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ee\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e and modular base \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, and we are asked to calculate: \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 mod(pisanoPi(n^e),m).]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.jpeg\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.jpeg\",\"contentType\":\"image/jpeg\",\"content\":\"data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4REARXhpZgAATU0AKgAAAAgABAE7AAIAAAASAAAISodpAAQAAAABAAAIXJydAAEAAAAkAAAQ1OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFJhbW9uIFZpbGxhbWFuZ2NhAAAFkAMAAgAAABQAABCqkAQAAgAAABQAABC+kpEAAgAAAAM1NwAAkpIAAgAAAAM1NwAA6hwABwAACAwAAAieAAAAABzqAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA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Sequences 81:  Fibonacci Radicals","description":"The radical of a positive integer  is defined as the product of the distinct prime numbers dividing . For example, the distinct prime factors of  is , therefore the radical of  is . Similarly, the radicals of ,  and  are ,  and , respectively. The numberis considered to be the radical of itself.\r\nFor a given index , if  is the n-th Fibonacci number ( and  for ), write a function R(n), that calculates the radical of .\r\nFor example, if  then , therefore R(12) = 2 * 3 = 6. \r\nAnd, for , , therefore R(24) = 2 * 3 * 7 * 23 = 966.\r\nSince output can be large, please present R(n) as a string (double quotes) array of digits.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 208px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 104px; transform-origin: 407px 104px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Radical_of_an_integer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eradical of a positive integer\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is defined as the product of the distinct prime numbers dividing \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. For example, the distinct prime factors of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"18\" style=\"width: 25.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"35.5\" height=\"19\" style=\"width: 35.5px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, therefore the radical of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"18\" style=\"width: 25.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. Similarly, the radicals of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"18\" style=\"width: 25.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e5\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, respectively. The number\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eis considered to be the radical of itself.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 44px; 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 22px; text-align: left; transform-origin: 384px 22px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor a given index \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is the n-th \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci number \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJgAAAAoCAYAAAACCDNUAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAmKADAAQAAAABAAAAKAAAAAD5mAbDAAAFTElEQVR4Ae2aaahVVRTHn6X5Mips0AbsvSDLoMkKbcAShZIEqQ+lghFC04eKIIIkoZHwQ1hE0IeiCSMoCoPKRhD8EkUhZIMV+BREoyIiy542/f56F2x3Z7hnuPnOuWvB/+55nbX/d+119t73Dgy4OAPOgDPgDDgDzoAz4Aw4A86AM+AM9D0DwzCwGhyXx8S4nA5raF8I8volqbmbyqeTGhpWdz72rgMTS9j9I2NOKzFurA6ZhmErwXIwAUwH34FUGZ/asr9hGclksBZctr9q3+cGPt8GvwDpOBKcDi4FRugO8m2Qz5jECWAREA8mo2SeANvA32AQTAFyyDmdcib59GmKnIyhK8BN4LBeGP0kSv/p4FdSOVSSyNneAuo7NalDg+v0OjAOlD6QMRctNDndUxl9mtT0GsY+BK4He4HxYMGEqmqynuGm9I0cVfLyrTl9mtg8F6ONA6UzcyaxnXa9Stomm5iQ8ZDrYId0MftJ9Lko6PdOkE/KauV+ktTQ8Lr5gf07yW8MyknZtvKwK2myVequYrB5rNLhLpQd2kWfpnX5GIONh+e7ML6NHGjaHwHjoZYIdmVA5mbyI0FZWW2AdVo6WoWO/GWZlqTaf10QzCUpij9K+6qgT9s4CKZWb1ZOZR77eKRar9iXgVZ3m2UpkzMO5DjHRpM9j/IoULRvuxSKYDr1Zckwjbp+MPmezCygU+SZ4BowD9wDeiWzUawrkaryKQquKKkkjOI/oGMIzACK3heC28Bu8AHolbyO4strUH4dOj6sQU9XKvIcLCRWCh9J0apjbK9ENh5Tg/KjKugIHVPXL3LWWF6iYk9cWWNZi7oOHibUaFOuqiIOtgFtd4FBoD3JuWAl+BL08kLxC/TfAqqKLkTLyDkMOjEYuIz8FjAJTAOyTVFWEaaXov3dqzU8IGlx1KC2uAo5n27qbe8h54rlKyruiytbVtZPXsbBz+Tj0+Fi6n4Dh4N+kEJ7sKx7sIthK3ytvJvA3hTqunk9ar/2ApicoGOsVy0IDNTeRZv8UMTBOrA7rAzy4vhG8CJ4E9wPpoO+l4dhwFaubqVjEXEr4sqoLCLXAH0p0qVNcZPkCIwdBcbDzQnGz6VOPw0liaLde8DGW6prHR0OmiiFIljWBHUbb4Q8l9Uxo+1W2uaB34F0lXGw2Yz7qQboiy4qCxlgHCgdKqjgDvp/Da4GinQ3gE1AuhQNi4j2eHXwML/IQxP61uJg2sRb1BEZSxIeVKTqWzpLTxkHU3TQ2KoQMUVF/5aw58pRioruB8+KBs2gLJ1/gIlRW1bxfRrNlirpgqyHdNFWyMHGpyjUsVyvQIkm08v7nX0Pyfg4mKfI8MsoGgHHMadngSJWKHLUXeBPsDdsyMmvon0snCI1r8qi8G2rRF9wVakSwao+u+z4OQw0DpReW1ZRNO6kjt61UX1TiiMd+8VJHJ3/MweLUmHDIgraN5nocm+qFfok1en5wWiuZ1CuY/XKcSU6/DRJdGC5EwwFRi8nX+ji9hsGhKvW8tqPVYlkTYpgS5jrnhQedC+4FFSR9Qx+poqCgzBWr2e91s0fwlScxNuA/93EJjlYL8m5HeWfg365lO0llwfodgcbGNCBYQsYOoAZL9TCQL872CWwKOfSPi6UwbDg+fIM9LOD6b9iI2BmRJ/+oKnL7Fa/LtPuwSIuKhWPZ/SpHQ2nkO6spK1ZgxWx7DfcxwLTxfvZ4BWQ9htm0N2zaQzcS8M2YKeOzeRXp3VuWb2ugLYCm3tSOqtlc/bpOAPOgDPgDDgDzoAz4Aw4A86AM+AMOAPOgDPgDDgDfcnAvxO0U9bq9HypAAAAAElFTkSuQmCC\" width=\"76\" height=\"20\" style=\"width: 76px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"107\" height=\"20\" style=\"width: 107px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e), \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ewrite a function \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; \"\u003eR(n)\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e that calculates the radical of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor example, if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e then \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"123\" height=\"21\" style=\"width: 123px; height: 21px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, therefore \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; \"\u003eR(12) = 2 * 3 = 6\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAnd, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYIAAAAqCAYAAAC+wly+AAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAABgqADAAQAAAABAAAAKgAAAABJd6VmAAASOUlEQVR4Ae2bCdRdVXXHIQMICYMQIiBKUCAUY0iVABWhkCCztqiQiiAJEMMg2iWLVhANC9MixdKoBBFQEgxYkaVgJQ0I9AMlTGFSJkGmSIBKgDBDiLa/X7wn63zX+9679733vW86e63/d87ZZ5999tn7jPcla6yRKHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHlgMHpgzcE46DTm5IE2euBd6Pp0Tt94yvPA1Tl+fy1ui+HTwfvAU6ALXAL+DyRKHkgeSB4Y9B6YgwfcEGMsoTx0gHhmH8bxWm58jvX7YAhINAA8kF4EAyCIaQi95oFR9Pw4+CJ4EQS6m8xvQ6Efp+tg+8Pgh+ACMBJ8BnwBSLuDX67KpT/92gPD+rX1fd94N4p/A4+CWRXN3RD5j4CJwKf51mBP8CzI04dh7ATGgqXgZnALeBlUpSr9TkD5h4C2jQCPgGvBnaC/0XAM1r9+1tHfjwH9eBvwRlxEn4N5F7gQ/KlIoA/yNsam/YGfedYHi4HjfADkaTKMm8BJUYWx3RRMAZNAXzoInLvbgLL0awTfLCvcQbn30pfryrn4NnArMEaur0ZUJb6NdK2un0/uBbC8CUxfrWXwZq5g6D6jF1VwwQeRXQDeAm4ubuhfAmNBnt4J4+cg/iwR8kvhj8s3qFOu0u+70fMzYF8ecpcC7XgVyLsMDAf9hXbA0LtB8F2cPgd/54KBrAtvWdbmJdIrwUdBX6ZpGOd44vGF/Gz4+S8EbvQeink6EYbtfAn1JXIMYTxlUudxXyLXzEywAhTZPxf+UFCLqsa3lp5C/tvh3gBiw26k7OZ0LDgBnALmAp+RQe5A8oOZpjP44IsyB8FayPv8dvO33eNgd1CL3Ii8jSp7B/hxloY+TZ8HG4J6VLXfkSjzJqX+c0G84XuTeSyr+wFpf6BtMNIbf+y3fP5l6t0UY9qJgvP9jyCWn0d5COhrdCgGaecr4EdgIVgOYttnUi5D5yNkuwllhDsk42csL63xeOrlH+qQXVW6cf3Xs9m6nwLXbJ7aGd+87tXlc8gFA10U662u6Z4ZRvEqoOw7ulcNqpKbiwsu+KzRQeBmfX0k7ybqs70ezabydXBITmgryveB0PfHc/VxsZl+/Uygbr+JF01IPxmEvjcj35dpTYzzUuNmfgbQXm9cHmiWV4AwlsXki8gNaDLw5RZkTy4S7EWe4/KwuwaMiuwwfv8Igt0e8GXoAYSU1X99haZhiOO4HTimw8FhBXD/Uu7roC/RRzBGu+4Fzic/CW0A9gbh4hXilL9ktzu+dFlMXbCDET6B69F0Kp+oJzDA6zwMbwWPgTeAfmt0EITDU9n/Ao0WmIeEE/ogUEQHwwzx+kaRQMar2q/NrgDqvs9CAY2BF/rOH1IF4r3K+pvM1lNrWOFcDmPxsPB1XIuMWbgw+fmlUQyDHj9PlJUNbUy3jAsN8qdTfxtYu4acsQzjrHXJC019GTn3tguMEqlrYvMScnkR53k9n8fyrjkPuqLLSZDbhMxK4FgnBmaJtBMxuho7ngRFF2gvG78DIUb/QT6mdsY31tst7yeIsKFpyLHdav+ycBSsy/+SPWg4X2Okbhq7gT8AfVbvIPh0JqPcErARaEQTELCfWuQnpTBpTqgh1Ey/qvLGpW5vmEWvlr/N6pX5JOjL9C8Y5+12SA0j3aD9/BN8+bEacoE9PJIvWtBBLqR7kHkFnAuqHAZTkXeOefMtQ2citH0dwfAaXYZMPTvclPWHN+2y5Mbs5wzXwriyjZCzr8XgfuCNtx55e74ONJL7LDLG8glQlvZAsKdjNJI+3gSfArXocCrCPLwzJ9Su+ObUdi/uHxmgIWO6VxeWhhZyBz5zV4bojcPPClKjg8AbiosvBHg/G7WBTkWHOt0s/qpAXyv9uqiDvf9eoHtWVm/f7y2o70usORgzpYFBl1MfxntgA1mr5wLly9yAuzJZ5cseBtOQ1be2eRqsA1ohXwmvAvVdWkeRG7oHhrfPKrQnwn8C6i97GHgI3JG1sV3ZAw/RuvQLatWXv1HXa9SVtbFdT8VoPLq1rd6+OS6yYzH5slQ2vg31fRMJnSAeLJDeFN4ysEFB3WBi+aR+FHhaezOUGh0ElyATfOui9mbq7WZsBoNYlexbG9R7GiiiVvo9GIXBZtN/jjp4D/kwZj+TDASazyDCeLcvMaDzkXFjHVZCdhQy94Cgv9FGcySy4RB4hnzRIQ+7En0CaftXn2u5iNyg/McI3yqodL42ohkIlD0MfBHHh4D7TztoE5R4SXOsH66gsC/ESHO3BmGeXFbB/jLxLaXut5EBs3Mt3Lh+CG7L8QdjcR6Dfh3Em8UfKBu8RSBPHhwrQAjur8hfB8KCkf8iUO8YUIbWRWgBsO3MGg1a7XdN9MavAvu6EhwKlgI3qjOBcgOBjItjdB00Ig/ux8GFjQSjejea+MfAWofBUciFufG/5ON5FqmrlN0f6dfAc+BdNVoax4vAPJCPqZ9afH2WoWMQCva7Lrzh5slDIFxi9Pm38wItlKfTVp1PA/etKtSbMQp27kVG+4VrrQyViW8ZPWuMQSp0bnoy2AlMBp8Dblzy41shxV6hnenVCd0qrmnC+nBL/nyurRNe/xQdBAdldbF/74LnJrIQLI/qnbw7gFrkxN4PxIvoJcp5e2zfjn5HoOcGENtu/hWwI2iGejN+tewdTcVbwLHlP0/cBO8JMAO4QRqD74KHweagCnlb/Q0I/swfBvEhUGsTrdKfN/8zwIqozxvJvxvk6ZswtMsDsSvC/eRXgqI2sAvpWLi1DgMPAed/7INCJU0yXdfq1rfNUKdjlLcxxMGXW6NXWJX45vspLDvJQ2DqpVsXtu4sc9eSttYbh3W3VDR7C+SfB040N4SY6h0EX0UwtiW/aRtMvwUGmTtixVF+XfKPRHJBPqRfiGTNtqvftdHld83QT0gvhudBUZV6K3717DyJSsd1DxieE7wyq7P+QfAomAuqHgI0WUW1NpqjqQ2b57Pk3/9n8ab/eoF7C4R4xenv4Y+MNDda/wsi2bLZ4xAMfYZDbWN48SFwHuX8Wiqrv0jOG30Ys5fYZqlTMcrb5xrXV/rtkHxlrlwlvqubNnL2T5A8KJP+JemJwNNIx3pD9VnozWA86G3aEAMaOamMjUsQWlhGEBn9dy2YAFygT4GYDJ6T52bwobiC/BxwXMa7lXSXLB8nW1Jwg/G2Ke0Lrl6V6/5nM4qO3wPZm+skEOhFMtsANxGpXf26oC4FbwfaNxQE8lPHnsADsiz1Rvzq2aZPHwAeeB5Sd4I8jYXxTuA4jZOvsFZoNI2vB+/LlHgp8aXkPPOla1z1bSu0Do09rNx8jZFrON78/5Xyl0FP0vEoPyfrYBmp/ts2K19AGg6gjNVy4mGqXn24KVgJmqVOxChv25kw/glcBqbkK3Pltsd3GB24iYTT20MgTy6UmXnmICrrE/1zcI0xh1N8UUH9/Kyt7cOiKBBb/c1fudOKBHI8N41jwMvANuJQEKgd/arvLbAcfBBMBM6F0J+ph5+Xhv5I+vAnwJt4rdj21LjcaO4DsS/dwCb0UIdj0OtlJvT3UA/1k1frzTX0GdIL4en7dpOXJ/v4fpsUdzJGO2Kza+024CZflcbQoKX47oaCECDTcSBPTtAifpDzlD8LLAAG+TDQKNDeLi8GR4G+TNth3JvgQbBPDbwOX9/dH9XrV0m/BP+evYpT/Of0SE6/lKWvIxj0qyNQq/1ujaLXgLoPD0pJR4BLQOjT1MXeHyn4/KReMv5U+o39eAXlRuumFVPXo/GKrM+VpGu1oqxk242RCxelMNbxJdtWEbMfN1L7OKBKwwaynYjRFtiwFPjp15dMs9RSfGfRawiQxuRpCIyT88yo7OYYNoygx9RT2ba16BQqlLP/vkx/j3HxuMrmDap0PAhtvKXXouOoCHJuCGVpDwRDu29HjVrt98pMrxtH/sbvZhUfBq1+xojM7lj2M/Sk387oWI/dOzqaoi+RELuQnguvJw+DrqhPN8+eJPXHvwmEMXow1LtYNmOTF0r1+3WjXQdcJ2K0PvbqI/ferUCr1IWC4OdK8b09anhRRSt8wjwJzgK+Cj4AZoNgSLgVw+pGPoOCzKxuNY0LOyPiC6VVXNO4q1USf8ffPzZAGItpkH1oVes/f+8P9ddmvKIk3rjrvRzybZ309mkfn48q98148pvp96ms/eJIZ5wdk9Wr/9W4okG+0/ErMseYenv8TlFlB3huWuEQcB4bq3tBmCc9eRh8LevnedKepI1QHh8CF1J2foYxtvswWJjp9oLSDupEjNw/bwDLwPbtMBodTcV3FA3DJmKA/qGiMQci/6OCNv8JT30zC+rWhednlm8AZaoeBLtm7WzbCm6hfbvISa0tiwoUvg3eC1n9K6SOv4i+DDOM55gigRq80VG7PSOZVvsNr7x6B2b4xv1y1G+jbG/HbzIGvgHcMGq9WP1hvOq8pEkpOhKp+BCYkLUyjp04DDxknGduQD1FHgJ3gjCfLyC/ZtZZfOFx3YzL+K0k3nzfAvb38VYUZW07EaPh9HUVeAlMzPotSqbC3KmoogavbnyH1Wi0N/ywGHRivZtjkYrXYH6loMJXxhRQtEGcDd/NRZwIqpKbz4yqjQrklxTweoLlpnMpOA6MAAeAH4M87ZgxVpD6o1dZUp90N+gyk1Gr/d6MnklgbFBYkP4e3vbAg70s9Wb8dsFIP3k5944Absh5coHOBc7tdtM0FIZN0ZfAXsC4SW6K+vs64OZ4LJCOB67NdpBjc81Lvtx7gjxEfwH+OlPueF2vYQxzsvw5pJuA64Hj9hBslnzhuccZs4XNKsnadSJGQ+hrPnDc+4HbQRHtDvM8sENRZQGv6fg66QyQcIG2i85HkTrDbSfo/SgZ+/G26oRUZhbo7+QidiyLagzEzXR5JuNzeWROblPKHgDq+FZU503HJ/UPgJ9U8uRCehKsBHvlKyk326+qvgS0RxwC8jQKhp8XrPc52tdpPAYGe33Fzi3Az+C5QTsmF2k7aSrKwut7Gflai9uY/gYE359LPtymydYlL19XAH/TW6dA8hR46u0qqGsHy0PgDhBsdx+oZbsHXXgZuX5aeRn8d9bn5aSt0FQa93SM9IdrWh89BeYW4GJ47hPaciMI1CPx/RjaQ8BMnwbvCD22mD5A+1+DeBKo200r3BQG00HAsFf9/wFfSPp6AdgKSKOBNwL5XcDFFOgoMiFGLppLgBvI5uCTYAl4A3wC1KJdqKjar7rWAj8H9u/mGPexBWVvctYtBsr2ZdoW454BwZeN0t8hG8/dVsd2BArCBvMseQ+leuRh4PoJdpY9DHyhhTbOjalgM+CaU4d1xm090G7aEIXOhdD/d8k38qGfQFs9DDZCR7hEfYp8s3QEDTsRo7PpJ/ioTHp4NKC2x/ehGsboCG/srdAkGrvxbJdTchVlb5mB9iajIwbCi8BF51hcZPVodyofBmECLCWvz18FZ4FhIKb1KcTBD+1cPI8AF7ebciOq2m/QtzaZOUD77NtXjZvkSuABpM3xwUWxT5KfKoLvyqTxPG3HgH6a9V/mEAj9+eK6J2t3P6mv6Eb0RQSKxvcS/F+BQ0CjzRmRpmhnWjkn7P88ULafGcg6n213BKhK02hgW/tu5YDrRIx2zWzV3jJ4Abn4Zdeb8cWU8uSm4EZ3WK7J8ZRvBEMi/kA6CKJhNcy6QCYCby9HggkgfwDAWk1uAPsAZV0oth0BqlLVfmP93vYmARedsXXRbwASlfOAMfweeH858dVSHgbzgbf6sjQWwSngGHAA2BIY+07QvnRyJqja39G0OaFJAx3fbuADTbYPzToZo9BnM2lvxreUvX4euB6cXiD9KLzngC+RgGfIeyoG/lfIJ0oeSB5IHkge6CEP1LtxtqPLoSjx+/W94Ks5hZ60V4FNcnxPcn83WAbuAo+DRMkDyQPJA8kD/dADPgMvAvNA/kn4WXingiIarJ+GinyReMkDyQPJAz3ugZ58EczG+qngJvA/INBoMtuC9wRGSpMHkgeSB5IHBp4HZjAkv/PXwoI6Q56ctTutjkyqSh5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB5IHkgeSB6o6IH/ByK+qbslLr1KAAAAAElFTkSuQmCC\" width=\"193\" height=\"21\" style=\"width: 193px; height: 21px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, therefore \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; \"\u003eR(24) = 2 * 3 * 7 * 23 = 966\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSince output can be large, please present \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eR(n)\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e as a string (double quotes) array of digits.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = R(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = [24 1:10 12];\r\nr_correct = [\"966\" \"1\" \"1\" \"2\" \"3\" \"5\" \"2\" \"13\" \"21\" \"34\" \"55\" \"6\"];\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 11:10:61;\r\nr_correct = [\"89\" \"10946\" \"1346269\" \"165580141\" \"20365011074\" \"2504730781961\"];\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = [70 71 72]; \r\nr_correct = [\"190392490709135\" \"308061521170129\" \"3461486193606\"];\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 100; \r\nr_correct = \"70844969635852383015\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 120; \r\nr_correct = \"111632484478978471684830\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 300; \r\nr_correct = \"1851935371911837046081165778849249726722224492470831374924830\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 500; \r\nr_correct = \"5576928982467915205588975314816291358002810263507892290564358517933022864914531627662306355048900851765\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 200:50:1000; \r\ns_correct = [2136 2650 3201 3835 4365 4892 5409 5927 6477 6986 7662 8105 8751 9227 9768 10384 10917];\r\nassert(isequal(arrayfun(@(i) sum(char(i)),R(n)),s_correct))\r\n%%\r\nn = 1234; \r\nr_correct = \"347746739180370201052517440604335969788684934927843710657352239304121649686845967975636459392453053377493026875020744760145842401792378749321113719919618588095724485583919541019961884523908359133457357334538791778480910430756107407761555218113998374287548487\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 10000; \r\ns_correct = [205 214 233 161 224 198 244 200 195 214];\r\nassert(isequal(histc(char(R(n)),'0123456789'),s_correct))\r\n%%\r\nfiletext = fileread('R.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'regex') || contains(filetext, '[') || contains(filetext, '{');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":255988,"edited_by":255988,"edited_at":"2022-11-11T14:37:21.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2022-11-11T13:37:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-09T09:10:40.000Z","updated_at":"2026-03-24T12:07:58.000Z","published_at":"2022-11-11T13:04:28.000Z","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\u003eThe \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Radical_of_an_integer\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eradical of a positive integer\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\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is defined as the product of the distinct prime numbers dividing \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. For example, the distinct prime factors of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[2\\\\ 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore the radical of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Similarly, the radicals of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e125\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1344\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e42\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, respectively. The number\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis considered to be the radical of itself.\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\u003eFor a given index \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the n-th \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci number \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\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_1=F_2=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_n=F_{n-1}+F_{n-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u0026gt;2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e), \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ewrite a function \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eR(n)\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:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e that calculates the radical of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=12\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e then \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{12}=144=2^4\\\\times3^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eR(12) = 2 * 3 = 6\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAnd, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=24\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{24}=46368 = 2^5 \\\\times 3^2 \\\\times 7 \\\\times 23\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eR(24) = 2 * 3 * 7 * 23 = 966\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSince output can be large, please present \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eR(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e as a string (double quotes) array of digits.\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":57760,"title":"Easy Sequences 101: One-line Code Challenge - n-th Digit of Fibonacci Sequence","description":"For a given index , the -th Fibonacci number,  is defined as:  for  or , and  for . \r\nWhat this problem requires is find the digit , which is the -th digit when the Fibonacci numbers are laid side by side.\r\nFor example, for , , and if , .\r\n\r\n--------------------------------\r\nNOTE: The following restrictions apply:\r\nThe function should only have one (1) line of code, excluding the function start line.\r\nSemicolons (;) are considered end-of-line characters.\r\nPlease suppress the function end line. Keyword 'end' is not allowed.\r\nImporting libraries is not allowed.\r\nRegular expressions and string manipulation are not allowed.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 377px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 188.5px; transform-origin: 407px 188.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor a given index \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e-th \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci number, \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACIAAAAoCAYAAACb3CikAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAIqADAAQAAAABAAAAKAAAAABIyrn1AAACTklEQVRYCe2XT0gXURDHNa0g7I8Q2sGDh0iCRDwUQigigqEhdAvr7kkoQqhTHiIIEhS8efASdAjEi9FFD3YrRElEjCCJSgQVrFNQ6edrO/Ba3v52f/52DWIHPs68ebPzZmf3vd9aVpZL3oG8A8V1oDwm/BnzPRAX50sziHPcN+HzVfqcju82djVMQZvjf439EnZAOU7CBbgK50Gy/kel+3eMdLsB39Fa2CcqahoUW+sLiPIdiZoI+S8541lsFeOTnzjVvU+w4QuI8iUp5AQXtzgJXjm2z/yN861volRfNwnssUjXJ0hYkSDmr5AkHelyrljFXnPGMs/BJpzWIJBfZqSptbh1ZCSUWDfyHN6E/EUP47ZvPRm1LU30Al4B7ZqLcAM64D5kKv1kt24U0nZ2ZFbMpFPIHPZlaAV1Ygi0Xd9BpqLHppPTOnHPs9oKvocef6ou3bkVIe0earbQVoTf5lPRj8hihXzxZNSOeeDxp+7S6WiFTKSePWHCs8TpULJCbia8LvWwPqcI/XaosFLkWOhifd9oM8TKDBHWjeXY6OiAu0wtgLr7NAjTd81X+AwFi+klwIqQXoeivi2IN6nBOAXfQKdyAyyBTuInECnvmXGLMFt3VEpnXgR5P6Kb4Z/JHVbWTY1GVaCz4DDkw2EsErfGcQLmQR2R9spB/k3wJirgHGZuGzqhFapBx0EV6MXdl4Lbx4IOoLWg+AGNcA2OQjsMgMa3IHN5zAp6FItwJlhNW1e7T1v5euDLXOm9aIJwx+vw6VzJJe9A3oH/pwN7Ko53GpRHxG4AAAAASUVORK5CYII=\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is defined as: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43\" height=\"20\" style=\"width: 43px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEkAAAAkCAYAAADFGRdYAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAASaADAAQAAAABAAAAJAAAAABLVRfgAAACV0lEQVRoBe2YzUtUURiHLQxMbBNWgkEYpetW4SJaJJpYIPRBi4RAYXTZtn9Ag1pEi9xYm3ZJQa4kcmGBq5Bo0SYSEWwh1UKRWpQ+v7hHDs6M95y5g81w3xce33PP53t+956PsaHBzBQwBUwBU8AUqAMFDhLjbRipg1j3PUSJcws+wxY8B7NEgQP4a/AJJI4jSCQpmwfrZ5JDcB9m8jDhrHO8Tgf2JaWouJFSXlScl+VWNPGYjMaUyocp74Fz8Acegf8m+nhW+Tt4DbkzbXLrIHHcGn7gqfDQy5dwzV5ZLScve3EHnW57TaaTwhY4CRJBQul+IbsLynsKX+ENhNhLKn2vApdCBitTp6oi+WO84sF9Tb2kf4GWWqxJTNdPFq+JVmrRIqXtSS6QeRKDycMsXstOPtYmaPAitlGJ+h9K5P33rPNE4N78Mul62X9KCRf9JYVeARYZTUtMpre4+S+Vkz+hImlZuqO/Oyfa7EwzdE/SHtSatGrDn4EvyXOM0+l2MaZBmbo3yX9bpqzq2SEiXWHUAjyBsSSCC/hKRDpCu6NJH1ncoSyNY9umiXSCDqdAX5JOplHQvx0k0jNQsI/hHvyANKuF003xZzKJNgBnoQnewwI4MT+S1in3LcmbxM9B5oHpY7/sDgO5k3q6kkGHvQ70k2QNTnkdjXvlq6R1e/bLvao1mTxNVO5FSyjNrys20hs0cCpr+ew+yTrI+53U+YnXsqsHayfIFfgLbn7OK28JChBsujjqp0e5C+Nxyq7CMTAzBUwBU8AUMAVMAVPAFDAFTIG9FNgG8tGVnS2kWTkAAAAASUVORK5CYII=\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e2\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"107\" height=\"20\" style=\"width: 107px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWhat this problem requires is find the digit \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19\" height=\"20\" style=\"width: 19px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, which is the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e-th digit when the Fibonacci numbers are laid side by side\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor example, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"45\" height=\"20\" style=\"width: 45px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, and if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e--------------------------------\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNOTE: \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe following restrictions apply:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 100px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 50px; transform-origin: 391px 50px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe function should only have one (1) line of code, excluding the function start line.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSemicolons (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e) are considered end-of-line characters.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ePlease suppress the function end line. Keyword '\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; \"\u003eend'\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is not allowed.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eImporting libraries is not allowed.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eRegular expressions and string manipulation are not allowed.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function d = D(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 1:25;\r\nd_correct = [1 1 2 3 5 8 1 3 2 1 3 4 5 5 8 9 1 4 4 2 3 3 3 7 7];\r\nassert(isequal(D(n),d_correct))\r\n%%\r\nn = 100:100:1000;\r\nd_correct = [0 4 3 7 4 0 7 9 7 8];\r\nassert(isequal(D(n),d_correct))\r\n%%\r\nn = 1000:1000:10000;\r\nd_correct = [8 9 7 6 8 1 0 4 3 4];\r\nassert(isequal(D(n),d_correct))\r\n%%\r\nn = 10000:10000:100000;\r\nd_correct = [4 7 9 9 9 6 3 7 9 1];\r\nassert(isequal(D(n),d_correct))\r\n%%\r\nn = 100000:100000:1000000;\r\nd_correct = [1 9 2 5 9 3 2 8 9 3];\r\nassert(isequal(D(n),d_correct))\r\n%%\r\nn = 1000000:1000000:10000000;\r\nd_correct = [3 5 7 3 3 5 8 2 9 1];\r\nassert(isequal(D(n),d_correct))\r\n%%\r\nn = 10000:10000:10000000;\r\nh_correct = [100 96 109 85 105 115 82 107 100 101];\r\nassert(isequal(histc(D(n),0:9),h_correct))\r\n%%\r\nfiletext = fileread('D.m');\r\nnot_allowed = contains(filetext, 'import') || contains(filetext, 'str2') || contains(filetext, 'num2') || contains(filetext, 'sprintf') || contains(filetext, 'regex') || contains(filetext, 'eval') || contains(filetext, 'assignin') || contains(filetext, 'end');\r\nassert(~not_allowed)\r\nc = 0;\r\nfor s = deblank(strtrim(splitlines(filetext)))'\r\n    if ~isempty(s{1}) \u0026\u0026 ~isequal(s{1}(1),'%')\r\n        c = c + numel(find(s{1}==';'));\r\n        if  ~isequal(s{1}(end),';')\r\n            c = c + 1;\r\n        end\r\n    end\r\nend\r\nassert(c\u003c=2)","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":255988,"edited_by":255988,"edited_at":"2023-03-10T18:11:52.000Z","deleted_by":null,"deleted_at":null,"solvers_count":1,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-03-09T11:37:24.000Z","updated_at":"2025-11-15T13:27:27.000Z","published_at":"2023-03-10T18:10:42.000Z","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\u003eFor a given index \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci number, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is defined as: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_x=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_x=F_{x-1}+F_{x-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u0026gt;2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhat this problem requires is find the digit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eD_{n}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, which is the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e-th digit when the Fibonacci numbers are laid side by side\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eD_5=5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=25\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eD_{25}=7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\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\u003e--------------------------------\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe following restrictions apply:\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe function should only have one (1) line of code, excluding the function start line.\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSemicolons (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e) are considered end-of-line characters.\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePlease suppress the function end line. Keyword '\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eend'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is not allowed.\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eImporting libraries is not allowed.\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eRegular expressions and string manipulation are not 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56050,"title":"Easy Sequences 73:  Emergence of Fibonacci Insects","description":"Cicadas are natural mathematicians. In order to avoid their natural predators (in this case, the wasp), they emerge from hibernation in \"a prime number\" of years. For example, if the emergence period of a wasp is every  years, selecting  or  or even  years emergence period for the cicadas, means that their population would be wiped out in a few years. But, by selecting a prime emergence period, say  years, they are assured not to meet their predators for a very long time. In this case, if cicadas and wasps emerged the same time today, it would take another  years for them to again see each other.\r\nIn a theoretical environment, a particular species of cicadas selects to emerge every  (-th Fibonacci number) days, while the predator wasps selects emergence period of  (-th Fibonacci number) days. Given the values of  and , and assuming that the insects emerge at the same time, today, in how many days will they again emerge together.\r\nFor example, if the cicadas selected , and  the wasps chose , they will emerge at the same time again in  days.\r\nNOTE: You are given:  and . Since the answer can be a huge number, please present your answer \"modulo \".","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: 325px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 162.5px; transform-origin: 407px 162.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 126px; 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 63px; text-align: left; transform-origin: 384px 63px; 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: 377px 8px; transform-origin: 377px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCicadas are natural mathematicians. In order to avoid their natural predators (in this case, the wasp), they emerge from hibernation in \"a prime number\" of years. For example, if the emergence period of a wasp is every \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\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: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e years, selecting \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e4\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e6\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: 28px 8px; transform-origin: 28px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or even \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e9\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: 329px 8px; transform-origin: 329px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e years emergence period for the cicadas, means that their population would be wiped out in a few years. But, by selecting a prime emergence period, say \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA3ElEQVRYR2NkGGSAcZC5h2HUQYRiZDSEqB1CSkADPwLxW0IGY5EnSi+xUQYyrASIM4HYAIgvkuAgkvQScpAw0OJmqENgbiDWQWTpxecgL6ALdID4ChA3ArEJ1EXEOIhsvYRCCBYqZUBGJwkOQo5RkvSOOohQhhgNodEQwlJgjuYyQrXIaAiNhhAoBEhKB2hBRpLe0ZKaGiU1qMW3C4iVoVFRDqS7CKVkqDzJevFFGciwZCA2xmL5PahPZ+JwGNl6iU1DRAYI5cpGHUQoDEdDaDSECIUAIfnRNEQohAAxvlgl02j4IwAAAABJRU5ErkJggg==\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\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: 212.5px 8px; transform-origin: 212.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e years, they are assured not to meet their predators for a very long time. In this case, if cicadas and wasps emerged the same time today, it would take another \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" height=\"18\"\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: 77px 8px; transform-origin: 77px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e years for them to again see each other.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 86px; 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 43px; text-align: left; transform-origin: 384px 43px; 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: 266.5px 8px; transform-origin: 266.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn a theoretical environment, a particular species of cicadas selects to emerge every \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 17px; height: 20px;\" width=\"17\" height=\"20\"\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: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 10.5px 8px; transform-origin: 10.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFibonacci number\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: 23.5px 8px; transform-origin: 23.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) days, while the predator wasps selects emergence period of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 19.5px; height: 20px;\" width=\"19.5\" height=\"20\"\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: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\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: 90.5px 8px; transform-origin: 90.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th Fibonacci number) days. \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: 71px 8px; transform-origin: 71px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven the values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 17px 8px; transform-origin: 17px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\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: 367.5px 8px; transform-origin: 367.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, and assuming that the insects emerge at the same time, today, in how many days will they again emerge together.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; 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 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 115px 8px; transform-origin: 115px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, if the cicadas selected \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 56px; height: 20px;\" width=\"56\" height=\"20\"\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: 74.5px 8px; transform-origin: 74.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and  the wasps chose \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 51px; height: 20px;\" width=\"51\" height=\"20\"\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: 137.5px 8px; transform-origin: 137.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, they will emerge at the same time again in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 98px; height: 18px;\" width=\"98\" height=\"18\"\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: 19px 8px; transform-origin: 19px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e days.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; 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 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23px 8px; transform-origin: 23px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNOTE: \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: 47.5px 8px; transform-origin: 47.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou are given: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 43.5px; height: 20px;\" width=\"43.5\" height=\"20\"\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 43.5px; height: 20px;\" width=\"43.5\" height=\"20\"\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: 252px 8px; transform-origin: 252px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Since the answer can be a huge number, please present your answer \"modulo \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 70.5px; height: 18px;\" width=\"70.5\" height=\"18\"\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: 4.5px 8px; transform-origin: 4.5px 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 e = emergeInsects(n,m)\r\n    e = fib(n) * fib(m);\r\nend","test_suite":"%%\r\nn = 10;\r\nm = 8;\r\ne_correct = 1155;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 25;\r\nm = 15;\r\ne_correct = 9153050;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nk = 102334155;\r\nps = primes(75);\r\ni = randi(21);\r\nn = ps(i);\r\nps(i) = [];\r\nm = ps(randi(20));\r\nfn = [1 0] * [1 1; 1 0]^n * [0; 1];\r\nfm = [1 0] * [1 1; 1 0]^m * [0; 1];\r\ne_correct = mod(mod(fn,k)*mod(fm,k),k);\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 85;\r\nm = 20;\r\ne_correct = 6765;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 100;\r\nm = 20;\r\ne_correct = 6765;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nps = primes(541);\r\nns = ps(51:100);\r\nms = ps(1:50);\r\nes = arrayfun(@(i) emergeInsects(ns(i),ms(i)),1:50);\r\nss = floor([sum(es) mode(es) median(es) std(es)]);\r\nss_correct = [341464745 392836 392836 14111292];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 1001;\r\nm = 209;\r\ne_correct = 47142701;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 1111;\r\nm = 606;\r\ne_correct = 6657472;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 123456789;\r\nm = 43210;\r\ne_correct = 4895;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nfiletext = fileread('emergeInsects.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java') ...\r\n|| contains(filetext, 'if') || contains(filetext, 'for') || contains(filetext, 'switch') || contains(filetext, 'while') || contains(filetext, 'try');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":9,"created_by":255988,"edited_by":255988,"edited_at":"2022-09-29T07:24:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2022-09-29T07:24:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-24T18:01:04.000Z","updated_at":"2026-02-28T14:51:40.000Z","published_at":"2022-09-25T07:46:20.000Z","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\u003eCicadas are natural mathematicians. In order to avoid their natural predators (in this case, the wasp), they emerge from hibernation in \\\"a prime number\\\" of years. For example, if the emergence period of a wasp is every \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e12\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e years, selecting \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or even \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e9\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e years emergence period for the cicadas, means that their population would be wiped out in a few years. But, by selecting a prime emergence period, say \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e11\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e years, they are assured not to meet their predators for a very long time. In this case, if cicadas and wasps emerged the same time today, it would take another \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e132\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e years for them to again see each other.\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\u003eIn a theoretical environment, a particular species of cicadas selects to emerge every \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e) days, while the predator wasps selects emergence period of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_m\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th Fibonacci number) days. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven the values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, and assuming that the insects emerge at the same time, today, in how many days will they again emerge together.\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\u003eFor example, if the cicadas selected \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{10} = 55\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and  the wasps chose \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_8 = 21\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, they will emerge at the same time again in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e55\\\\times21=1155\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e days.\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou are given: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_1=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_2=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Since the answer can be a huge number, please present your answer \\\"modulo \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e102334155\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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":56428,"title":"Easy Sequences 79: Trailing Zeros of Fibonorial Numbers at any Base","description":"The fibonorial of an integer  is defined as follows:\r\n                    \r\nwhere:  is the -th Fibonacci number ( and  for ).\r\nIn other words, the fibonorial of , , is the product of all Fibonacci numbers from  to .\r\nGiven an integer  and a number base , write a function that calculates the number of trailing zeros of the fibonorial of  when written in base-.\r\nFor example, for  and , the function should return , because:\r\n  \u003e\u003e dec2base(prod([1 1 2 3 5 8 13 21 34 55]),4)\r\n  \u003e\u003e   '13103120230200'\r\nFor  and , the function should return .\r\n  \u003e\u003e dec2base(prod([1 1 2 3 5 8 13 21 34 55]),13)\r\n  \u003e\u003e   '1C4CB080'\r\n--------------------\r\nHint: As a practice, you may want to solve first, the previous problem: Easy Sequences 78: Trailing Zeros of Factorial Numbers at any Base.","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: 432.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 216.367px; transform-origin: 407px 216.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.5px 8px; transform-origin: 14.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonorial\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003efibonorial \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: 42px 8px; transform-origin: 42px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eof an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 67px 8px; transform-origin: 67px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is defined as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 45px; 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 22.5px; text-align: left; transform-origin: 384px 22.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40px 8px; transform-origin: 40px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 86px; height: 45px;\" width=\"86\" height=\"45\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 23px 8px; transform-origin: 23px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 15px; height: 20px;\" width=\"15\" height=\"20\"\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: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ei\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: 10.5px 8px; transform-origin: 10.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci number \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: 2.5px 8px; transform-origin: 2.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 76px; height: 20px;\" width=\"76\" height=\"20\"\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 100.5px; height: 20px;\" width=\"100.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 12.5px 8px; transform-origin: 12.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 33.5px; height: 18px;\" width=\"33.5\" height=\"18\"\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: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 113px 8px; transform-origin: 113px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIn other words, the fibonorial of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 33.5px; height: 18.5px;\" width=\"33.5\" height=\"18.5\"\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: 161px 8px; transform-origin: 161px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, is the product of all Fibonacci numbers from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 17px; height: 20px;\" width=\"17\" height=\"20\"\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: 11px 8px; transform-origin: 11px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 17px; height: 20px;\" width=\"17\" height=\"20\"\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\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: 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: 54.5px 8px; transform-origin: 54.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 65.5px 8px; transform-origin: 65.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and a number base \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\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: 248px 8px; transform-origin: 248px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, write a function that calculates the number of trailing zeros of the fibonorial of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0.25px 8px; transform-origin: 0.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e when written in base-\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" height=\"18\"\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" height=\"18\"\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: 87px 8px; transform-origin: 87px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the function should return \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e2\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: 33px 8px; transform-origin: 33px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, because:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 40.8667px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 20.4333px; transform-origin: 404px 20.4333px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 192px 8.5px; tab-size: 4; transform-origin: 192px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; dec2base(prod([1 1 2 3 5 8 13 21 34 55]),4)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 92px 8.5px; tab-size: 4; transform-origin: 92px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 28px 8.5px; transform-origin: 28px 8.5px; \"\u003e  \u0026gt;\u0026gt;   \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 64px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 64px 8.5px; \"\u003e'13103120230200'\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 13px 8px; transform-origin: 13px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" height=\"18\"\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" height=\"18\"\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: 87px 8px; transform-origin: 87px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the function should return \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e1\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 40.8667px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 20.4333px; transform-origin: 404px 20.4333px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 196px 8.5px; tab-size: 4; transform-origin: 196px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; dec2base(prod([1 1 2 3 5 8 13 21 34 55]),13)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 68px 8.5px; tab-size: 4; transform-origin: 68px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 28px 8.5px; transform-origin: 28px 8.5px; \"\u003e  \u0026gt;\u0026gt;   \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 40px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 40px 8.5px; \"\u003e'1C4CB080'\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 50px 8px; transform-origin: 50px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e--------------------\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: 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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHint:\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: 204.5px 8px; transform-origin: 204.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e As a practice, you may want to solve first, the previous problem: \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56418-easy-sequences-78-trailing-zeros-of-factorial-numbers-at-any-base\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eEasy Sequences 78: Trailing Zeros of Factorial Numbers at any Base\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: 2px 8px; transform-origin: 2px 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 z = trZerPhi(n,b)\r\ny = x;\r\nend","test_suite":"%%\r\nn = 10; bs = 2:15;\r\nz_correct = [5 2 2 2 2 1 1 1 2 1 2 1 1 2];\r\nassert(isequal(arrayfun(@(b) trZerPhi(n,b),bs),z_correct))\r\n%%\r\nn = 3:3:45; b = 2:2:30;\r\nz_correct = [1 2 2 3 3 5 2 4 4 7];\r\nassert(isequal(arrayfun(@(i) trZerPhi(n(i),b(i)),1:10),z_correct))\r\n%%\r\nn = randi(15)+2; b = randi(25)+2;\r\nfs = arrayfun(@(i)[1 0]*[1 1; 1 0]^i*[0; 1],1:n);\r\nfs(gcd(fs,b)==1) = 1;\r\nz_correct = find(flip(dec2base(prod(fs),b))-'0',1,'first') - 1;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 30:3:450; b = 20:2:300;\r\nz = arrayfun(@(i) trZerPhi(n(i),b(i)),1:numel(n));\r\ns = floor([sum(log(z)) sum(z) median(z) std(z) sum(tand(z))])\r\ns_correct = [373 2813 17 15 60];\r\nassert(isequal(s,s_correct))\r\n%%\r\nn = 1000; b = 208;\r\nz_correct = 152;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 1234; bs = 2:36;\r\ns_correct = 8791;\r\nassert(isequal(sum(arrayfun(@(b) trZerPhi(n,b),bs)),s_correct))\r\n%%\r\nn = 12345; b = 350;\r\nz_correct = 1541;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 123456; b = 640;\r\nz_correct = 14696;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 1234567; b = 1313;\r\nz_correct = 24937;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 12345678; b = 12345;\r\nz_correct = 15000;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 12345678910; b = factorial(10);\r\nz_correct = 1157407394;\r\nint64(trZerPhi(n,b))\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nfiletext = fileread('trZerPhi.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java')...\r\n    || contains(filetext, 'for') || contains(filetext, 'while') || contains(filetext, 'if') || contains(filetext, 'switch');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":4,"created_by":255988,"edited_by":255988,"edited_at":"2022-10-30T04:57:36.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-26T18:44:43.000Z","updated_at":"2026-03-23T17:49:09.000Z","published_at":"2022-10-29T14:44:21.000Z","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\u003eThe \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonorial\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efibonorial \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003eof an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is defined as follows:\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\u003e                    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Phi(n)=\\\\prod_{i=1}^n F_i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003ewhere: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ei\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci number \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\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_1=F_2=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_i=F_{i-1}+F_{i-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ei\u0026gt;2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIn other words, the fibonorial of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Phi(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, is the product of all Fibonacci numbers from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and a number base \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, write a function that calculates the number of trailing zeros of the fibonorial of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e when written in base-\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb=4\\n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the function should return \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, because:\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 dec2base(prod([1 1 2 3 5 8 13 21 34 55]),4)\\n  \u003e\u003e   '13103120230200']]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb=13\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the function should return \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\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 dec2base(prod([1 1 2 3 5 8 13 21 34 55]),13)\\n  \u003e\u003e   '1C4CB080']]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e--------------------\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHint:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e As a practice, you may want to solve first, the previous problem: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56418-easy-sequences-78-trailing-zeros-of-factorial-numbers-at-any-base\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eEasy Sequences 78: Trailing Zeros of Factorial Numbers at any Base\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\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":2920,"title":"Golden ratio","description":"Calculate the golden ratio. Hint: phi^2 = phi + 1.","description_html":"\u003cp\u003eCalculate the golden ratio. Hint: phi^2 = phi + 1.\u003c/p\u003e","function_template":"function phi = goldenRatio\r\n  phi = 1;\r\nend","test_suite":"%%\r\nphi_correct = (sqrt(5)+1)/2;\r\nerror_bound = 10^-12;\r\nassert(abs(goldenRatio() - phi_correct) \u003c= error_bound )\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":32231,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":180,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-02-01T23:50:24.000Z","updated_at":"2026-02-16T11:46:22.000Z","published_at":"2015-02-01T23:51:09.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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\u003eCalculate the golden ratio. Hint: phi^2 = phi + 1.\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":45203,"title":"Check if a number belongs in the fibonacci squence","description":"Test if integer i is a number in the fibonacci sequence. Return true if it is.","description_html":"\u003cp\u003eTest if integer i is a number in the fibonacci sequence. Return true if it is.\u003c/p\u003e","function_template":"function b = isFibonacci(i)\r\n  b = true;\r\nend","test_suite":"%%\r\nassert(isequal(isFibonacci(2),true))\r\n%%\r\nassert(isequal(isFibonacci(3),true))\r\n%%\r\nassert(isequal(isFibonacci(5),true))\r\n%%\r\nassert(isequal(isFibonacci(89),true))\r\n%%\r\nassert(isequal(isFibonacci(233),true))\r\n%%\r\nassert(isequal(isFibonacci(6765),true))\r\n%%\r\nassert(isequal(isFibonacci(18),false))\r\n%%\r\nassert(isequal(isFibonacci(100),false))\r\n%%\r\nassert(isequal(isFibonacci(230),false))\r\n%%\r\nassert(isequal(isFibonacci(514227),false))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":348097,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":44,"test_suite_updated_at":"2019-11-12T09:20:55.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-11-12T09:15:22.000Z","updated_at":"2026-03-06T10:50:29.000Z","published_at":"2019-11-12T09:20:55.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTest if integer i is a number in the fibonacci sequence. Return true if it is.\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":52379,"title":"Double Fibonacci","description":"double_fibonacci takes two integers, each greater than one, as input arguments (it does not have to check the format of the input) and returns a two-dimensional array. If it is called likethis,\r\nA = double_fibonacci(M,N), then A is an M-by-N array that has the Fibonacci series on its first row, has the same series in its first column, and for rows n = 2 to M , row n contains the Fibonacci numbers that begin with nth number in the series. Here is an example showing the output when the input integers are 6 and 9,\r\n A = double_fibonacci(6,9):\r\nA =\r\n[1 1 2 3 5 8 13 21 34;\r\n1 2 3 5 8 13 21 34 55;\r\n2 3 5 8 13 21 34 55 89;\r\n3 5 8 13 21 34 55 89 144;\r\n5 8 13 21 34 55 89 144 233;\r\n8 13 21 34 55 89 144 233 377]\r\nThe first row of A gives the first nine numbers in the Fibonacci series. The series\r\nstarts with two ones, and each subsequent number is equal to the sum of\r\nthe two numbers that precede it.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; 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: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 427.917px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.493px 213.958px; transform-origin: 406.493px 213.958px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 40px; 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: 383.49px 20px; text-align: left; transform-origin: 383.498px 20px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003edouble_fibonacci takes two integers, each greater than one, as input arguments (it does not have to check the format of the input) and returns a two-dimensional array. If it is called likethis,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 60px; 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: 383.49px 30px; text-align: left; transform-origin: 383.498px 30px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA = double_fibonacci(M,N), then A is an M-by-N array that has the Fibonacci series on its first row, has the same series in its first column, and for rows n = 2 to M , row n contains the Fibonacci numbers that begin with nth number in the series. Here is an example showing the output when the input integers are 6 and 9,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e A = double_fibonacci(6,9):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eA =\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e[1 1 2 3 5 8 13 21 34;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e1 2 3 5 8 13 21 34 55;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e2 3 5 8 13 21 34 55 89;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e3 5 8 13 21 34 55 89 144;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e5 8 13 21 34 55 89 144 233;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e8 13 21 34 55 89 144 233 377]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe first row of A gives the first nine numbers in the Fibonacci series. The series\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003estarts with two ones, and each subsequent number is equal to the sum of\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20px; 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: 383.49px 10px; text-align: left; transform-origin: 383.498px 10px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ethe two numbers that precede it.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = double_fibonacci(m,n)\r\n  y = x;\r\nend","test_suite":"%%\r\nm = 6;\r\nn = 9;\r\ny_correct = [1 1 2 3 5 8 13 21 34;\r\n             1 2 3 5 8 13 21 34 55;\r\n             2 3 5 8 13 21 34 55 89;\r\n             3 5 8 13 21 34 55 89 144;\r\n             5 8 13 21 34 55 89 144 233;\r\n             8 13 21 34 55 89 144 233 377];\r\n\r\nassert(isequal(double_fibonacci(m,n),y_correct))\r\n\r\n%%\r\nm = 3;\r\nn = 4;\r\ny_correct = [1     1     2     3;\r\n             1     2     3     5;\r\n             2     3     5     8];\r\n\r\nassert(isequal(double_fibonacci(m,n),y_correct))","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":505754,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":29,"test_suite_updated_at":"2021-07-28T09:57:07.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-07-28T08:34:11.000Z","updated_at":"2026-04-02T15:13:32.000Z","published_at":"2021-07-28T09:50:41.000Z","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\u003edouble_fibonacci takes two integers, each greater than one, as input arguments (it does not have to check the format of the input) and returns a two-dimensional array. If it is called likethis,\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\u003eA = double_fibonacci(M,N), then A is an M-by-N array that has the Fibonacci series on its first row, has the same series in its first column, and for rows n = 2 to M , row n contains the Fibonacci numbers that begin with nth number in the series. Here is an example showing the output when the input integers are 6 and 9,\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\u003e A = double_fibonacci(6,9):\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\u003eA =\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\u003e[1 1 2 3 5 8 13 21 34;\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;\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\u003e2 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\u003e3 5 8 13 21 34 55 89 144;\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\u003e5 8 13 21 34 55 89 144 233;\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\u003e8 13 21 34 55 89 144 233 377]\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\u003eThe first row of A gives the first nine numbers in the Fibonacci series. The series\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\u003estarts with two ones, and each subsequent number is equal to the sum of\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\u003ethe two numbers that precede it.\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":2187,"title":"Generalized Fibonacci","description":"The Fibonacci sequence is defined as:\r\nFib(1) = 0\r\nFib(2) = 1\r\nFib(N) = Fib(N-1) + Fib(N-2)\r\nThe Fibonacci sequence can be generalized as follows:\r\nFib_gen(1) = a\r\nFib_gen(2) = b\r\nFib_gen(N) = Fib_gen(N-1) + Fib_gen(N-2)\r\nwhere 0 \u003c= a \u003c= b\r\nMoreover it can be shown that\r\nFib_gen(N) = k(1) * Fib(N) + k(2) * Fib(N+1)\r\nGiven a and b find k(1) and k(2).","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: 317.033px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 158.517px; transform-origin: 407px 158.517px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 122px 8px; transform-origin: 122px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Fibonacci sequence is defined as:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 30.65px; transform-origin: 404px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 40px 8.5px; tab-size: 4; transform-origin: 40px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eFib(1) = 0\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 40px 8.5px; tab-size: 4; transform-origin: 40px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eFib(2) = 1\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 112px 8.5px; tab-size: 4; transform-origin: 112px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eFib(N) = Fib(N-1) + Fib(N-2)\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 174.5px 8px; transform-origin: 174.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Fibonacci sequence can be generalized as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 30.65px; transform-origin: 404px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 56px 8.5px; tab-size: 4; transform-origin: 56px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eFib_gen(1) = a\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 56px 8.5px; tab-size: 4; transform-origin: 56px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eFib_gen(2) = b\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 160px 8.5px; tab-size: 4; transform-origin: 160px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eFib_gen(N) = Fib_gen(N-1) + Fib_gen(N-2)\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 57px 8px; transform-origin: 57px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere 0 \u0026lt;= a \u0026lt;= b\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 95px 8px; transform-origin: 95px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eMoreover it can be shown that\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 176px 8.5px; tab-size: 4; transform-origin: 176px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003eFib_gen(N) = k(1) * Fib(N) + k(2) * Fib(N+1)\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 103px 8px; transform-origin: 103px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a and b find k(1) and k(2).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function k = Fib_gen_solver(a,b)\r\n  k(1) = 1;\r\n  k(2) = 1;\r\nend","test_suite":"%%\r\na = 0\r\nb = 0\r\ny_correct = [0 0];\r\nassert(isequal(Fib_gen_solver(a,b),y_correct))\r\n\r\n%%\r\na = 0\r\nb = 1\r\ny_correct = [1 0];\r\nassert(isequal(Fib_gen_solver(a,b),y_correct))\r\n\r\n%%\r\na = 1\r\nb = 1\r\ny_correct = [0 1];\r\nassert(isequal(Fib_gen_solver(a,b),y_correct))\r\n\r\n%%\r\na = 5\r\nb = 13\r\ny_correct = [8 5];\r\nassert(isequal(Fib_gen_solver(a,b),y_correct))","published":true,"deleted":false,"likes_count":4,"comments_count":4,"created_by":22466,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":50,"test_suite_updated_at":"2022-01-13T07:37:39.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-02-17T03:16:22.000Z","updated_at":"2025-12-18T10:43:08.000Z","published_at":"2014-02-17T03:18:47.000Z","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\u003eThe Fibonacci sequence is defined as:\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[Fib(1) = 0\\nFib(2) = 1\\nFib(N) = Fib(N-1) + Fib(N-2)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe Fibonacci sequence can be generalized as follows:\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[Fib_gen(1) = a\\nFib_gen(2) = b\\nFib_gen(N) = Fib_gen(N-1) + Fib_gen(N-2)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere 0 \u0026lt;= a \u0026lt;= b\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\u003eMoreover it can be shown that\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[Fib_gen(N) = k(1) * Fib(N) + k(2) * Fib(N+1)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a and b find k(1) and k(2).\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":1997,"title":"Compute Fibonacci Number","description":"Compute the n-th Fibonacci Number\r\nf(0) = 0, f(1) = 1, f(2) = 1, f(3) = 2, ... f(42) = 267914296","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: 51px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 25.5px; transform-origin: 407px 25.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.5px 8px; transform-origin: 40.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCompute the\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003en\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: 67.5px 8px; transform-origin: 67.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th Fibonacci Number\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 175px 8px; transform-origin: 175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ef(0) = 0, f(1) = 1, f(2) = 1, f(3) = 2, ... f(42) = 267914296\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function f = fibonacci(n)\r\n  f = n;\r\nend","test_suite":"%%\r\nfiletext = fileread('fibonacci.m');\r\nillegal = contains(filetext, 'switch') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'if');\r\nassert(~illegal)\r\n\r\n%%\r\nassert(isequal(fibonacci(1),1))\r\nassert(isequal(fibonacci(2),1))\r\nassert(isequal(fibonacci(5),5))\r\nassert(isequal(fibonacci(7),13))\r\nassert(isequal(fibonacci(13),233))\r\nassert(isequal(fibonacci(15),610))","published":true,"deleted":false,"likes_count":6,"comments_count":1,"created_by":11486,"edited_by":223089,"edited_at":"2022-12-13T17:55:55.000Z","deleted_by":null,"deleted_at":null,"solvers_count":520,"test_suite_updated_at":"2022-12-13T17:55:55.000Z","rescore_all_solutions":false,"group_id":8,"created_at":"2013-11-16T14:45:07.000Z","updated_at":"2026-04-07T04:26:55.000Z","published_at":"2013-11-16T14:46:35.000Z","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\u003eCompute the\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-th Fibonacci Number\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\u003ef(0) = 0, f(1) = 1, f(2) = 1, f(3) = 2, ... f(42) = 267914296\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":44370,"title":"Octoberfest festival","description":"A group of students decided to visit Octoberfest festival. First they ordered one beer, then after half-hour they taken one more, after one more half-hour they ordered two more beers like sum of previous two times. Then after having spend a good time and anoter half an hour they ordered three beers. The situation went on. Task: calculate how many beers they ordered after n half-hours for given n - number of half-hours.\r\n\r\nExample:\r\n\r\nn=1 result will be 2;\r\n\r\nn=2 result will be 4.","description_html":"\u003cp\u003eA group of students decided to visit Octoberfest festival. First they ordered one beer, then after half-hour they taken one more, after one more half-hour they ordered two more beers like sum of previous two times. Then after having spend a good time and anoter half an hour they ordered three beers. The situation went on. Task: calculate how many beers they ordered after n half-hours for given n - number of half-hours.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cp\u003en=1 result will be 2;\u003c/p\u003e\u003cp\u003en=2 result will be 4.\u003c/p\u003e","function_template":"function totalNumberOfOrderedBeers = OctoberfestFestival(n)  \r\n  totalNumberOfOrderedBeers=n\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 2;\r\nassert(isequal(OctoberfestFestival(x),y_correct))\r\n%%\r\nx = 5;\r\ny_correct = 20;\r\nassert(isequal(OctoberfestFestival(x),y_correct))\r\n%%\r\nx = 10;\r\ny_correct = 232;\r\nassert(isequal(OctoberfestFestival(x),y_correct))","published":true,"deleted":false,"likes_count":4,"comments_count":11,"created_by":90467,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":498,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":34,"created_at":"2017-10-10T19:33:58.000Z","updated_at":"2026-03-18T12:47:33.000Z","published_at":"2017-10-16T01:45:10.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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\u003eA group of students decided to visit Octoberfest festival. First they ordered one beer, then after half-hour they taken one more, after one more half-hour they ordered two more beers like sum of previous two times. Then after having spend a good time and anoter half an hour they ordered three beers. The situation went on. Task: calculate how many beers they ordered after n half-hours for given n - number of half-hours.\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\u003eExample:\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\u003en=1 result will be 2;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003en=2 result will be 4.\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":2982,"title":" Get a Fibonacci number's index.","description":"*N.B.* For the purpose of this exercise, the first Fibonacci number is 1, and the second is 2; that is, |fib(1) = 1| and |fib(2) = 2| .\r\n\r\nMake a function |isfib(x)| so that:\r\n\r\n* if the value of the input |x| is _not_ a Fibonacci number, the function returns a zero.\r\n* if the value of the input |x| _is_ a Fibonacci number, the function returns its index in the Fibonacci sequence. That is, |isfib(fib(n))| should return the value of |n| .","description_html":"\u003cp\u003e\u003cb\u003eN.B.\u003c/b\u003e For the purpose of this exercise, the first Fibonacci number is 1, and the second is 2; that is, \u003ctt\u003efib(1) = 1\u003c/tt\u003e and \u003ctt\u003efib(2) = 2\u003c/tt\u003e .\u003c/p\u003e\u003cp\u003eMake a function \u003ctt\u003eisfib(x)\u003c/tt\u003e so that:\u003c/p\u003e\u003cul\u003e\u003cli\u003eif the value of the input \u003ctt\u003ex\u003c/tt\u003e is \u003ci\u003enot\u003c/i\u003e a Fibonacci number, the function returns a zero.\u003c/li\u003e\u003cli\u003eif the value of the input \u003ctt\u003ex\u003c/tt\u003e \u003ci\u003eis\u003c/i\u003e a Fibonacci number, the function returns its index in the Fibonacci sequence. That is, \u003ctt\u003eisfib(fib(n))\u003c/tt\u003e should return the value of \u003ctt\u003en\u003c/tt\u003e .\u003c/li\u003e\u003c/ul\u003e","function_template":"function ans = isfib(x)\r\n  ans = 0;\r\nend","test_suite":"%%\r\nx = 1;\r\ny_correct = 1;\r\nassert(isequal(isfib(x),y_correct))\r\n\r\n%%\r\nx = 2;\r\ny_correct = 2;\r\nassert(isequal(isfib(x),y_correct))\r\n\r\n%%\r\nx = 1.2345;\r\ny_correct = 0;\r\nassert(isequal(isfib(x),y_correct))\r\n\r\n%%\r\nx = 4;\r\ny_correct = 0;\r\nassert(isequal(isfib(x),y_correct))\r\n\r\n%%\r\nx = -1;\r\ny_correct = 0;\r\nassert(isequal(isfib(x),y_correct))\r\n%%\r\nx = 89;\r\ny_correct = 10;\r\nassert(isequal(isfib(x),y_correct))\r\n%%\r\nx = 5.731478440138172e+20;\r\ny_correct = 100;\r\nassert(isequal(isfib(x),y_correct))","published":true,"deleted":false,"likes_count":3,"comments_count":3,"created_by":34095,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":51,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-02-07T09:56:12.000Z","updated_at":"2026-01-30T00:21:59.000Z","published_at":"2015-02-07T10:14:37.000Z","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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eN.B.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e For the purpose of this exercise, the first Fibonacci number is 1, and the second is 2; that is,\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efib(1) = 1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efib(2) = 2\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e .\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eMake a function\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eisfib(x)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e so that:\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\u003eif the value of the input\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is\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\u003enot\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e a Fibonacci number, the function returns a zero.\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\u003eif the value of the input\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ex\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\u003eis\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e a Fibonacci number, the function returns its index in the Fibonacci sequence. That is,\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eisfib(fib(n))\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e should return the value of\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:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\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\"},{\"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":60791,"title":"Sum of Even Fibonacci Numbers","description":"Description:\r\nThe Fibonacci sequence is defined as follows:F(1)=1,F(2)=1,F(n)=F(n−1)+F(n−2) for n\u003e2\r\nWrite a function that computes the sum of all even Fibonacci numbers that do not exceed a given number NNN.\r\nExample:\r\nFor N=10, the Fibonacci sequence up to 10 is:\r\n1,1,2,3,5,8\r\nThe even numbers are 2 and 8, and their sum is 10.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; 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: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 201px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 100.5px; transform-origin: 407px 100.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eDescription:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe Fibonacci sequence is defined as follows:\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e−\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e+\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e−\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e)\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for \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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003en\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u0026gt;\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that computes the sum 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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eall even Fibonacci numbers\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that do not exceed a given number \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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eExample:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eN\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e=\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e10, the Fibonacci sequence up to 10 is:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e3\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e5\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e8\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space-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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe even numbers are \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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e2 and 8\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and their sum is \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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e10\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: 0px 0px; transform-origin: 0px 0px; 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 sum_even_fib = even_fibonacci_sum(N)\r\n    % Write your code here\r\nend\r\n","test_suite":"%% Test 1: Basic Case\r\nx = 10;\r\ny_correct = 10; % (2 + 8)\r\nassert(isequal(even_fibonacci_sum(x), y_correct))\r\n\r\n%% Test 2: Larger N\r\nx = 34;\r\ny_correct = 44; % (2 + 8 + 34)\r\nassert(isequal(even_fibonacci_sum(x), y_correct))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":383919,"edited_by":383919,"edited_at":"2025-02-10T11:48:53.000Z","deleted_by":null,"deleted_at":null,"solvers_count":27,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2025-02-10T11:47:18.000Z","updated_at":"2025-11-14T09:05:50.000Z","published_at":"2025-02-10T11:48:53.000Z","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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eDescription:\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\u003eThe Fibonacci sequence is defined as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\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:t\u003e1\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:t\u003e=\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e1\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:t\u003eF\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:t\u003e2\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:t\u003e=\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e1\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:t\u003eF\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:t\u003en\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:t\u003e=\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\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:t\u003en\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:t\u003e1\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:t\u003e+\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eF\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:t\u003en\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:t\u003e2\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:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function that computes the sum of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eall even Fibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e that do not exceed a given number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eExample:\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\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eN\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:t\u003e10, the Fibonacci sequence up to 10 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\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:t\u003e1\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:t\u003e2\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:t\u003e3\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:t\u003e5\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:t\u003e8\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\u003eThe even numbers are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e2 and 8\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, and their sum is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\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":45466,"title":"Fibonacci Word","description":" F1='0'\r\n\r\n F2='1'\r\nF3 is the catenation of the previous two. So,\r\n F3 = cat(F2,F1)='10'.\r\nsimilarly,\r\n F4 = cat(F3,F2)= '101'\r\nGiven a particular pattern p, find out how many times that pattern appears in the nth-fibonacci word.","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: 215.167px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 107.583px; transform-origin: 407px 107.583px; vertical-align: baseline; \"\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 30.65px; transform-origin: 404px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 28px 8.5px; tab-size: 4; transform-origin: 28px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 16px 8.5px; transform-origin: 16px 8.5px; \"\u003e F1=\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 12px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 12px 8.5px; \"\u003e'0'\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 8.5px; tab-size: 4; transform-origin: 0px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 28px 8.5px; tab-size: 4; transform-origin: 28px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 16px 8.5px; transform-origin: 16px 8.5px; \"\u003e F2=\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 12px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 12px 8.5px; \"\u003e'1'\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 138.5px 8px; transform-origin: 138.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eF3 is the catenation of the previous two. So,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 88px 8.5px; tab-size: 4; transform-origin: 88px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 68px 8.5px; transform-origin: 68px 8.5px; \"\u003e F3 = cat(F2,F1)=\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 16px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 16px 8.5px; \"\u003e'10'\u003c/span\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 26.5px 8px; transform-origin: 26.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003esimilarly,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 92px 8.5px; tab-size: 4; transform-origin: 92px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 72px 8.5px; transform-origin: 72px 8.5px; \"\u003e F4 = cat(F3,F2)= \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 20px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 20px 8.5px; \"\u003e'101'\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 313.5px 8px; transform-origin: 313.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a particular pattern p, find out how many times that pattern appears in the nth-fibonacci word.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function out=fibo(n,p)","test_suite":"%%\r\nassert(isequal(fibo(10,'10'),21))\r\n%%\r\nassert(isequal(fibo(15,'10101'),88))\r\n%%\r\nassert(isequal(fibo(15,'10001'),0))\r\n%%\r\nassert(isequal(fibo(6,'0'),3))\r\n%%\r\nassert(isequal(fibo(8,'11'),4))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":363598,"edited_by":223089,"edited_at":"2022-10-09T05:57:08.000Z","deleted_by":null,"deleted_at":null,"solvers_count":23,"test_suite_updated_at":"2022-10-09T05:57:08.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-04-18T17:20:58.000Z","updated_at":"2026-01-17T12:44:08.000Z","published_at":"2020-04-18T17:20:58.000Z","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=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ F1='0'\\n\\n F2='1']]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eF3 is the catenation of the previous two. So,\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[ F3 = cat(F2,F1)='10'.]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esimilarly,\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[ F4 = cat(F3,F2)= '101']]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a particular pattern p, find out how many times that pattern appears in the nth-fibonacci word.\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":45339,"title":"XOR fibonacci","description":"a \u0026 b are the first two terms in the xor fibonacci sequence. Find the nth term of that sequence.\r\n\r\nXOR fib sequence is that in which any term is the xor of the previous two terms.","description_html":"\u003cp\u003ea \u0026 b are the first two terms in the xor fibonacci sequence. Find the nth term of that sequence.\u003c/p\u003e\u003cp\u003eXOR fib sequence is that in which any term is the xor of the previous two terms.\u003c/p\u003e","function_template":"function y = fib_xor(a,b,n)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(fib_xor(1,2,34),1))\r\n\r\n%%\r\nassert(isequal(fib_xor(123,22,57),109))\r\n\r\n%%\r\nassert(isequal(fib_xor(3,7,98),7))\r\n\r\n%%\r\nassert(isequal(fib_xor(3,7,1),3))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":22,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-02-17T07:46:31.000Z","updated_at":"2026-01-19T18:17:31.000Z","published_at":"2020-02-17T07:46:58.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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\u003ea \u0026amp; b are the first two terms in the xor fibonacci sequence. Find the nth term of that sequence.\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\u003eXOR fib sequence is that in which any term is the xor of the previous two terms.\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":45223,"title":"find nth even fibonacci number","description":"1st even fibonacci number=2 ; \r\n2nd even fibonacci number=8 ..","description_html":"\u003cp\u003e1st even fibonacci number=2 ; \r\n2nd even fibonacci number=8 ..\u003c/p\u003e","function_template":"function y = even_fib(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 1;\r\ny_correct = 2;\r\nassert(isequal(even_fib(n),y_correct))\r\n%%\r\nn = 3;\r\ny_correct = 34;\r\nassert(isequal(even_fib(n),y_correct))\r\n%%\r\nn = 10;\r\ny_correct = 832040;\r\nassert(isequal(even_fib(n),y_correct))\r\n%%\r\nn = 20;\r\ny_correct = 1548008755920;\r\nassert(isequal(even_fib(n),y_correct))\r\n\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":93,"test_suite_updated_at":"2019-12-04T11:48:11.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2019-12-04T11:45:17.000Z","updated_at":"2026-03-02T19:12:20.000Z","published_at":"2019-12-04T11:48:11.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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\u003e1st even fibonacci number=2 ; 2nd even fibonacci number=8 ..\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":2269,"title":"Create the following sequence     :   0 1 1  4 9 25 64 169 ...","description":"The sequence \r\n\r\n 0, 1, 1, 4, 9, 25, 64, 169, ...\r\n\r\nrepresents the square of the sequence of Fibonacci numbers.\r\n\r\nLet n represent the number of elements to display and let y represent the sequence of squares of Fibonacci numbers.\r\n\r\nExample\r\n\r\n n = 4\r\n y = [0 1 1 4]","description_html":"\u003cp\u003eThe sequence\u003c/p\u003e\u003cpre\u003e 0, 1, 1, 4, 9, 25, 64, 169, ...\u003c/pre\u003e\u003cp\u003erepresents the square of the sequence of Fibonacci numbers.\u003c/p\u003e\u003cp\u003eLet n represent the number of elements to display and let y represent the sequence of squares of Fibonacci numbers.\u003c/p\u003e\u003cp\u003eExample\u003c/p\u003e\u003cpre\u003e n = 4\r\n y = [0 1 1 4]\u003c/pre\u003e","function_template":"function y = fibo_sq(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 10;\r\ny_correct = [0 1 1 4 9 25 64 169 441 1156];\r\nassert(isequal(fibo_sq(n),y_correct))\r\n\r\n%%\r\nn = 1;\r\ny_correct = [0];\r\nassert(isequal(fibo_sq(n),y_correct))\r\n\r\n%%\r\nn = 3;\r\ny_correct = [0 1 1];\r\nassert(isequal(fibo_sq(n),y_correct))\r\n\r\n%%\r\nn = 4;\r\ny_correct = [0 1 1 4];\r\nassert(isequal(fibo_sq(n),y_correct))\r\n","published":true,"deleted":false,"likes_count":4,"comments_count":3,"created_by":22816,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":204,"test_suite_updated_at":"2014-04-08T15:08:42.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2014-04-07T18:11:51.000Z","updated_at":"2026-03-31T10:41:31.000Z","published_at":"2014-04-07T18:19:01.000Z","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 sequence\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[ 0, 1, 1, 4, 9, 25, 64, 169, ...]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003erepresents the square of the sequence of Fibonacci numbers.\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\u003eLet n represent the number of elements to display and let y represent the sequence of squares of Fibonacci numbers.\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\u003eExample\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[ n = 4\\n y = [0 1 1 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":46090,"title":"Last Digit of fibonacci number","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; 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: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 108.92px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 54.46px; transform-origin: 406.5px 54.46px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 20.48px; 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 10.24px; text-align: left; transform-origin: 383.5px 10.24px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven a number n, find last digit of nth Fibonacci number\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.48px; 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 10.24px; text-align: left; transform-origin: 383.5px 10.24px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor example, for n=35,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.48px; 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 10.24px; text-align: left; transform-origin: 383.5px 10.24px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eF(35) = 9227465\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.48px; 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 10.24px; text-align: left; transform-origin: 383.5px 10.24px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eso, ans=5.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = fib_last_digit(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(fib_last_digit(1),1))\r\n%%\r\nassert(isequal(fib_last_digit(10),5))\r\n%%\r\nassert(isequal(fib_last_digit(51),4))\r\n%%\r\nassert(isequal(fib_last_digit(136),7))\r\n%%\r\nassert(isequal(fib_last_digit(1122),6))\r\n%%\r\nassert(isequal(fib_last_digit(234567),8))\r\n%%\r\nassert(isequal(fib_last_digit(900999),6))\r\n%%\r\nassert(isequal(fib_last_digit(0),0))","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":363598,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":28,"test_suite_updated_at":"2020-08-03T00:20:51.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-08-03T00:13:33.000Z","updated_at":"2025-12-31T12:17:42.000Z","published_at":"2020-08-03T00:20:51.000Z","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 a number n, find last digit of nth Fibonacci number\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\u003eFor example, for n=35,\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\u003eF(35) = 9227465\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\u003eso, ans=5.\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":52624,"title":"Determine whether a number is a fibodiv number","description":"The number 14 is a fibodiv number because you can divide it into 1 and 4, use those numbers as the seeds for a Fibonacci sequence, and find 14 later in the sequence: 1, 4, 5, 9, 14. The number 549 is also a fibodiv number because dividing it into 54 and 9 gives the sequence is 54, 9, 63, 72, 135, 207, 342, 549. \r\nWrite a function to determine whether the input is a fibodiv number. ","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 93px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 46.5px; transform-origin: 407px 46.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 381.975px 8.05px; transform-origin: 381.975px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe number 14 is a fibodiv number because you can divide it into 1 and 4, use those numbers as the seeds for a Fibonacci sequence, and find 14 later in the sequence: 1, 4, 5, 9, 14. The number 549 is also a fibodiv number because dividing it into 54 and 9 gives the sequence is 54, 9, 63, 72, 135, 207, 342, 549. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209.133px 8.05px; transform-origin: 209.133px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine whether the input is a fibodiv number. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function tf = isFibodiv(x)\r\n  tf = false\r\nend","test_suite":"%%\r\nassert(~isFibodiv(11))\r\n\r\n%%\r\nassert(isFibodiv(14))\r\n\r\n%%\r\nassert(isFibodiv(28))\r\n\r\n%%\r\nassert(~isFibodiv(191))\r\n\r\n%%\r\nassert(isFibodiv(199))\r\n\r\n%%\r\nassert(~isFibodiv(541))\r\n\r\n%%\r\nassert(isFibodiv(549))\r\n\r\n%%\r\nassert(~isFibodiv(1803))\r\n\r\n%%\r\nassert(isFibodiv(1822))\r\n\r\n%%\r\nassert(~isFibodiv(8198))\r\n\r\n%%\r\nassert(isFibodiv(8199))\r\n\r\n%%\r\nassert(isFibodiv(23418))\r\n\r\n%%\r\nassert(~isFibodiv(23456))\r\n\r\n%%\r\nassert(~isFibodiv(50014))\r\n\r\n%%\r\nassert(isFibodiv(50739))\r\n\r\n%%\r\nassert(isFibodiv(299998))\r\n\r\n%%\r\nassert(isFibodiv(889945))\r\n\r\n%%\r\nassert(~isFibodiv(1399999))\r\n\r\n%%\r\nassert(isFibodiv(1499999))\r\n\r\n%%\r\nassert(isFibodiv(54999966))\r\n\r\n%%\r\nassert(~isFibodiv(68528559))\r\n\r\n%%\r\nassert(isFibodiv(78545406))\r\n\r\n%%\r\nassert(isFibodiv(97499994))\r\n\r\n%% \r\nn = randi(45,1,randi(8));\r\nphi = (1+sqrt(5))/2;\r\nf = round(phi.^n/sqrt(5));\r\nassert(abs(sum(arrayfun(@isFibodiv,f))-besselj(randi(8),cos((2*randi(8)+1)*imag(log(-1))/2)))\u003ceps)\r\n\r\n%% Fibodiv magic square\r\nm = [74157 65050 71555; \r\n     67652 70254 72856;\r\n     68953 75458 66351];\r\nassert(isFibodiv(m(randi(9))))\r\n\r\n%%\r\nfiletext = fileread('isFibodiv.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || contains(filetext, 'oeis'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":4,"comments_count":3,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-08-26T04:40:10.000Z","updated_at":"2026-01-14T15:31:07.000Z","published_at":"2021-08-28T12:39:28.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe number 14 is a fibodiv number because you can divide it into 1 and 4, use those numbers as the seeds for a Fibonacci sequence, and find 14 later in the sequence: 1, 4, 5, 9, 14. The number 549 is also a fibodiv number because dividing it into 54 and 9 gives the sequence is 54, 9, 63, 72, 135, 207, 342, 549. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine whether the input is a fibodiv number. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":47058,"title":"Determine the Zeckendorf expansion of a number","description":null,"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: 135px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 67.5px; transform-origin: 407px 67.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 84px; 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 42px; text-align: left; transform-origin: 384px 42px; 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: 14px 8.05px; transform-origin: 14px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Goldbach%27s_conjecture\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eGoldbach conjecture\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: 294.442px 8.05px; transform-origin: 294.442px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e deals with expressing integers as sums of primes. One might also seek to express integers as sums of other numbers, such as the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci numbers\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: 199.892px 8.05px; transform-origin: 199.892px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which begin 0, 1, 1, 2, 3, 5, 8, 13, 21... For example, 26 can be written as 13+8+5 or 21+3+2. \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Zeckendorf%27s_theorem\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eZeckendorf\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: 255.608px 8.05px; transform-origin: 255.608px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (and Lekkerkerker before him) showed that every positive integer can be uniquely expressed as the sum 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: 50.9667px 8.05px; transform-origin: 50.9667px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003enon-consecutive\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: 196.242px 8.05px; transform-origin: 196.242px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Fibonacci numbers. The Zeckendorf expansion for 26 is 21+5. \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: 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: 372.5px 8.05px; transform-origin: 372.5px 8.05px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine the Zeckendorf expansion of the input number. In particular, output in decreasing order the Fibonacci numbers to be used in the sum.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = Zeckendorf(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 26;\r\ny_correct = [21 5];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 26;\r\ny_correct = [21 5];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 88;\r\ny_correct = [55 21 8 3 1];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 965;\r\ny_correct = [610 233 89 21 8 3 1];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 4180;\r\ny_correct = [2584 987 377 144 55 21 8 3 1];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 75024;\r\ny_correct = [46368 17711 6765 2584 987 377 144 55 21 8 3 1];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 514228;\r\ny_correct = [317811 121393 46368 17711 6765 2584 987 377 144 55 21 8 3 1];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 514229;\r\ny_correct = 514229;\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 8675309;\r\ny_correct = [5702887 2178309 514229 196418 75025 6765 1597 55 21 3];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 2022243254;\r\ny_correct = [1836311903 165580141 14930352 3524578 1346269 514229 28657 6765 233 89 34 3 1];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n\r\n%%\r\nx = 314159265358;\r\ny_correct = [225851433717 86267571272 1836311903 165580141 24157817 9227465 3524578 1346269 75025 28657 6765 1597 144 8];\r\nassert(isequal(Zeckendorf(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":14,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-24T08:38:37.000Z","updated_at":"2020-10-24T09:11:46.000Z","published_at":"2020-10-24T09:11:46.000Z","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\u003eThe \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Goldbach%27s_conjecture\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eGoldbach conjecture\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e deals with expressing integers as sums of primes. One might also seek to express integers as sums of other numbers, such as the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, which begin 0, 1, 1, 2, 3, 5, 8, 13, 21... For example, 26 can be written as 13+8+5 or 21+3+2. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Zeckendorf%27s_theorem\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eZeckendorf\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e (and Lekkerkerker before him) showed that every positive integer can be uniquely expressed as the sum of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enon-consecutive\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Fibonacci numbers. The Zeckendorf expansion for 26 is 21+5. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine the Zeckendorf expansion of the input number. In particular, output in decreasing order the Fibonacci numbers to be used in the sum.\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":44836,"title":"Iccanobif numbers 1","description":"There are a lot of problems in Cody that deal with Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, 21 etc...) so let's turn things around a bit.  Literally.  This problem deals with the Iccanobif sequence.  Instead of adding the previous two numbers in the sequence, reverse the digits of the previous two numbers and add those together to get the next number in the sequence.\r\n\r\nIt starts out exactly the same as the Fibonacci (1, 1, 2, 3, 5, 8, 13) as all of the one digit numbers equal themselves when reversed.  However, instead of 8+13=21 for the next term, reverse the digits in 13 to get 31. The next term is now 8+31, or 39.  The next term after that is 31+93 (13 and 39 reversed) to get 124, and so on.  Unlike the starndard Fibonacci sequence, the Iccanobif sequence can actually decrease in value between terms.\r\n\r\nYou will be given a number, and you will be asked to calculate that term in the Iccanobif sequence.\r\n\r\n!Kcul doog","description_html":"\u003cp\u003eThere are a lot of problems in Cody that deal with Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, 21 etc...) so let's turn things around a bit.  Literally.  This problem deals with the Iccanobif sequence.  Instead of adding the previous two numbers in the sequence, reverse the digits of the previous two numbers and add those together to get the next number in the sequence.\u003c/p\u003e\u003cp\u003eIt starts out exactly the same as the Fibonacci (1, 1, 2, 3, 5, 8, 13) as all of the one digit numbers equal themselves when reversed.  However, instead of 8+13=21 for the next term, reverse the digits in 13 to get 31. The next term is now 8+31, or 39.  The next term after that is 31+93 (13 and 39 reversed) to get 124, and so on.  Unlike the starndard Fibonacci sequence, the Iccanobif sequence can actually decrease in value between terms.\u003c/p\u003e\u003cp\u003eYou will be given a number, and you will be asked to calculate that term in the Iccanobif sequence.\u003c/p\u003e\u003cp\u003e!Kcul doog\u003c/p\u003e","function_template":"function y = iccanobif(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1;y_correct = 1;\r\nassert(isequal(iccanobif(x),y_correct))\r\n%%\r\nx = 9;y_correct = 124;\r\nassert(isequal(iccanobif(x),y_correct))\r\n%%\r\nx = 43;y_correct=36181429034;\r\nassert(isequal(iccanobif(x),y_correct))\r\n%%\r\nfor flag=1:50\r\n    y(flag)=iccanobif(flag);\r\nend\r\ndy=diff(y);\r\nassert(isequal(max(dy(1:25))+min(dy(1:25)),250750))\r\nassert(isequal(max(dy)+min(dy),19910139546138))\r\nsdy=sign(dy);\r\nassert(isequal(sum(sdy==-1),8))\r\n[m1,w1]=min(y(1:10));\r\n[m2,w2]=min(y(11:20));\r\n[m3,w3]=min(y(21:30));\r\n[m4,w4]=min(y(31:40));\r\n[m5,w5]=min(y(41:50));\r\nassert(isequal([m1 m2 m3 m4 m5],[1 836 113815 106496242 21807674140]))\r\nassert(isequal(w1*w2*w3*w4*w5,15))","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":1615,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":66,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":61,"created_at":"2019-01-18T13:40:37.000Z","updated_at":"2026-04-01T15:09:11.000Z","published_at":"2019-01-18T13:40:37.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThere are a lot of problems in Cody that deal with Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, 21 etc...) so let's turn things around a bit. Literally. This problem deals with the Iccanobif sequence. Instead of adding the previous two numbers in the sequence, reverse the digits of the previous two numbers and add those together to get the next number in the sequence.\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\u003eIt starts out exactly the same as the Fibonacci (1, 1, 2, 3, 5, 8, 13) as all of the one digit numbers equal themselves when reversed. However, instead of 8+13=21 for the next term, reverse the digits in 13 to get 31. The next term is now 8+31, or 39. The next term after that is 31+93 (13 and 39 reversed) to get 124, and so on. Unlike the starndard Fibonacci sequence, the Iccanobif sequence can actually decrease in value between terms.\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\u003eYou will be given a number, and you will be asked to calculate that term in the Iccanobif sequence.\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\u003e!Kcul doog\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":45234,"title":"Calculating large fibonacci numbers","description":"The fibonacci sequence starts 1,1,2,3,5,8...\r\n\r\nFind the the n'th fibonacci number. Then calculate round(log10( . )) of that n'th fibonacci number. ","description_html":"\u003cp\u003eThe fibonacci sequence starts 1,1,2,3,5,8...\u003c/p\u003e\u003cp\u003eFind the the n'th fibonacci number. Then calculate round(log10( . )) of that n'th fibonacci number.\u003c/p\u003e","function_template":"function y = your_fcn_name(n)\r\n  y = n;\r\nend","test_suite":"%%\r\nx = 100;\r\ny_correct = 21;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 140;\r\ny_correct = 29;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 200;\r\ny_correct = 41;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 300;\r\ny_correct = 62;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 400;\r\ny_correct = 83;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\n\r\nx = 500;\r\ny_correct = 104;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\n\r\nx = 1000;\r\ny_correct = 209;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 1100;\r\ny_correct = 230;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n\r\n%%\r\nx = 1100;\r\ny_correct = 230;\r\ntic\r\nassert(isequal(your_fcn_name(x),y_correct))\r\ntime = toc\r\nassert(time \u003c .01)","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":65480,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":26,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2019-12-14T00:30:26.000Z","updated_at":"2019-12-14T00:30:26.000Z","published_at":"2019-12-14T00:30:26.000Z","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\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"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\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 fibonacci sequence starts 1,1,2,3,5,8...\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\u003eFind the the n'th fibonacci number. Then calculate round(log10( . )) of that n'th fibonacci number.\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":44628,"title":"The other half of the Fibonacci sequence","description":"The \u003chttp://mathworld.wolfram.com/FibonacciNumber.html \"Fibonacci sequence\"\u003e — \r\nF = [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, ...] — appeared in Indian mathematical expositions from _circa_ 700 CE or earlier, and in the writings of Leonardo of Pisa (a.k.a. \"Fibonacci\") _circa_ 1202 CE. \r\n\r\nThis sequence can be defined by \r\n\r\n*F(n+2) = F(n+1) + F(n)*\r\n\r\nin which F(1) = 1, F(2) = 1, F(3) = 2, ....\r\n\r\nLater in history, it was recognised that F(0) = 0.  Of course, this still satisfies the formula in bold above [for n=0]:  F(2) = F(1) + F(0).  \r\n\r\nYour job in this Cody Problem is to 'create history'(?) by extending this sequence to _negative values of n_, to discover the missing half of this sequence!\r\n\r\nEXAMPLE:\r\n\r\nIf n=-1, then F(-1) must be 1, to ensure that F(1) = F(0) + F(-1) — thus satisfying the formula in bold above.\r\n\r\nYou are only required to provide outputs for n \u003c 3 that can be represented by an \u003chttps://au.mathworks.com/help/matlab/ref/int64.html |int64|\u003e \u003chttps://au.mathworks.com/help/matlab/numeric-types.html data type\u003e.  To enforce this, your output needs to be of this data type.  ","description_html":"\u003cp\u003eThe \u003ca href = \"http://mathworld.wolfram.com/FibonacciNumber.html\"\u003e\"Fibonacci sequence\"\u003c/a\u003e — \r\nF = [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, ...] — appeared in Indian mathematical expositions from \u003ci\u003ecirca\u003c/i\u003e 700 CE or earlier, and in the writings of Leonardo of Pisa (a.k.a. \"Fibonacci\") \u003ci\u003ecirca\u003c/i\u003e 1202 CE.\u003c/p\u003e\u003cp\u003eThis sequence can be defined by\u003c/p\u003e\u003cp\u003e\u003cb\u003eF(n+2) = F(n+1) + F(n)\u003c/b\u003e\u003c/p\u003e\u003cp\u003ein which F(1) = 1, F(2) = 1, F(3) = 2, ....\u003c/p\u003e\u003cp\u003eLater in history, it was recognised that F(0) = 0.  Of course, this still satisfies the formula in bold above [for n=0]:  F(2) = F(1) + F(0).\u003c/p\u003e\u003cp\u003eYour job in this Cody Problem is to 'create history'(?) by extending this sequence to \u003ci\u003enegative values of n\u003c/i\u003e, to discover the missing half of this sequence!\u003c/p\u003e\u003cp\u003eEXAMPLE:\u003c/p\u003e\u003cp\u003eIf n=-1, then F(-1) must be 1, to ensure that F(1) = F(0) + F(-1) — thus satisfying the formula in bold above.\u003c/p\u003e\u003cp\u003eYou are only required to provide outputs for n \u0026lt; 3 that can be represented by an \u003ca href = \"https://au.mathworks.com/help/matlab/ref/int64.html\"\u003e\u003ctt\u003eint64\u003c/tt\u003e\u003c/a\u003e \u003ca href = \"https://au.mathworks.com/help/matlab/numeric-types.html\"\u003edata type\u003c/a\u003e.  To enforce this, your output needs to be of this data type.\u003c/p\u003e","function_template":"% This was my logic:  ...\r\nfunction F = negativeRabbits(n)\r\n    % Here's how I implemented that conceptual logic in code:\r\n    n = F\r\nend","test_suite":"%% Ban str2num \u0026 str2double;  regexp \u0026 regexpi\r\n% Banning these to discourage hard-coded answers and silly 'scoring cheats'.  Sorry if it disrupts some legitimate usage.  \r\n% Please don't try any other hacks or workarounds.  \r\nassessFunctionAbsence({'str2num','str2double','regexp', 'regexpi'}, 'FileName','negativeRabbits.m');\r\nFR = fileread('negativeRabbits.m');\r\nmsg = 'Don''t hard-code your ''solution''.';\r\nassert( ~any( cellfun( @(z) contains(FR, z) , {'54800875592', '716768017756', '9845401187926'} ) ) , msg )\r\n\r\n%% Ban \"ans\" and a few hard-coded values (digits stripped)\r\n% I don't think it's very good style to be using \"ans\". \r\nRE = regexp(fileread('negativeRabbits.m'), '\\w+', 'match');\r\ntabooWords = {'ans'};\r\ntestResult = cellfun( @(z) ismember(z, tabooWords), RE );\r\nmsg = ['Please do not include the following banned strings in your code!' char([10 13]) ...\r\n    strjoin(RE(testResult)) char([10 13])];\r\nassert(~any(  cellfun( @(z) ismember(z, tabooWords), RE )  ), msg)\r\n\r\n%% Check data type\r\n% This is important.\r\nassert( isequal( class(negativeRabbits(0)) , 'int64' ) , 'Wrong data type.')\r\n\r\n%% Initial conditions and other such key values.  \r\n% Test Suite shall ensure it only ever checks n \u003c 3.  \r\nassert( isequal(negativeRabbits(+2), 1) , 'Failed at n =+2.' )\r\nassert( isequal(negativeRabbits(+1), 1) , 'Failed at n =+1.' )\r\nassert( isequal(negativeRabbits( 0), 0) , 'Failed at n = 0.' )\r\nassert( isequal(negativeRabbits(-1), 1) , 'Failed at n =-1.' )\r\n\r\n%% Terms from 0 down to -10\r\nfor n = 0 : -1 : -10\r\n    assert( isequal(negativeRabbits(n)+negativeRabbits(n+1), negativeRabbits(n+2)) , ['Failed at n =' num2str(n) '.'])\r\nend;\r\n\r\n%% Terms from -10 down to -20\r\nfor n = -10 : -1 : -20\r\n    assert( isequal(negativeRabbits(n)+negativeRabbits(n+1), negativeRabbits(n+2)) , ['Failed at n =' num2str(n) '.'])\r\nend;\r\n\r\n%% Terms from -20 down to -40\r\nfor n = -20 : -1 : -40\r\n    assert( isequal(negativeRabbits(n)+negativeRabbits(n+1), negativeRabbits(n+2)) , ['Failed at n =' num2str(n) '.'])\r\nend;\r\n\r\n%% Terms from -40 down to -77\r\nfor n = -40 : -1 : -77\r\n    assert( isequal(negativeRabbits(n)+negativeRabbits(n+1), negativeRabbits(n+2)) , ['Failed at n =' num2str(n) '.'])\r\nend;\r\n\r\n%% Terms from -77 down to -92\r\n% This is difficult, but feasible within the parameters of the problem.  \r\nfor n = -77 : -1 : -92\r\n    assert( isequal(negativeRabbits(n)+negativeRabbits(n+1), negativeRabbits(n+2)) , ['Failed at n =' num2str(n) '.'])\r\nend;\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":64439,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":18,"test_suite_updated_at":"2018-05-03T02:41:36.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2018-04-28T14:33:34.000Z","updated_at":"2026-02-21T13:17:20.000Z","published_at":"2018-04-28T16:25:02.000Z","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\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://mathworld.wolfram.com/FibonacciNumber.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e\\\"Fibonacci sequence\\\"\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e — F = [1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, ...] — appeared in Indian mathematical expositions from\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\u003ecirca\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e 700 CE or earlier, and in the writings of Leonardo of Pisa (a.k.a. \\\"Fibonacci\\\")\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\u003ecirca\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e 1202 CE.\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 sequence can be defined by\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eF(n+2) = F(n+1) + F(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\u003ein which F(1) = 1, F(2) = 1, F(3) = 2, ....\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eLater in history, it was recognised that F(0) = 0. Of course, this still satisfies the formula in bold above [for n=0]: F(2) = F(1) + F(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\u003eYour job in this Cody Problem is to 'create history'(?) by extending this sequence to\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\u003enegative values of n\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, to discover the missing half of this sequence!\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\u003eEXAMPLE:\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\u003eIf n=-1, then F(-1) must be 1, to ensure that F(1) = F(0) + F(-1) — thus satisfying the formula in bold above.\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\u003eYou are only required to provide outputs for n \u0026lt; 3 that can be represented by an\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://au.mathworks.com/help/matlab/ref/int64.html\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eint64\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\u003cw:hyperlink w:docLocation=\\\"https://au.mathworks.com/help/matlab/numeric-types.html\\\"\u003e\u003cw:r\u003e\u003cw:t\u003edata type\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. To enforce this, your output needs to be of this data type.\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":1946,"title":"Fibonacci-Sum of Squares","description":"Given the Fibonacci sequence defined by the following recursive relation,\r\n\r\n* F(n) = F(n-1) + F(n-2)\r\n* where F(1) = 1 and F(1) = 1\r\n\r\ndetermine the sum of squares for the first \"n\" terms.\r\n\r\nFor example, n=5 --\u003e 1^2 + 1^2 + 2^2 + 3^2 + 5^2 = 40.\r\n\r\n* INPUT  n=5\r\n* OUTPUT S=40\r\n\r\n","description_html":"\u003cp\u003eGiven the Fibonacci sequence defined by the following recursive relation,\u003c/p\u003e\u003cul\u003e\u003cli\u003eF(n) = F(n-1) + F(n-2)\u003c/li\u003e\u003cli\u003ewhere F(1) = 1 and F(1) = 1\u003c/li\u003e\u003c/ul\u003e\u003cp\u003edetermine the sum of squares for the first \"n\" terms.\u003c/p\u003e\u003cp\u003eFor example, n=5 --\u0026gt; 1^2 + 1^2 + 2^2 + 3^2 + 5^2 = 40.\u003c/p\u003e\u003cul\u003e\u003cli\u003eINPUT  n=5\u003c/li\u003e\u003cli\u003eOUTPUT S=40\u003c/li\u003e\u003c/ul\u003e","function_template":"function S = FibSumSquares(n)\r\n  S = n;\r\nend","test_suite":"%%\r\nn = 5;\r\nS = 40;\r\nassert(isequal(FibSumSquares(n),S))\r\n\r\n%%\r\nn = 8;\r\nS = 714;\r\nassert(isequal(FibSumSquares(n),S))\r\n\r\n%%\r\nn = 11;\r\nS = 12816;\r\nassert(isequal(FibSumSquares(n),S))\r\n\r\n%%\r\nn = 15;\r\nS = 602070;\r\nassert(isequal(FibSumSquares(n),S))\r\n\r\n%%\r\nn = 21;\r\nS = 193864606;\r\nassert(isequal(FibSumSquares(n),S))\r\n\r\n%%\r\nn = 26;\r\nS = 23843770274;\r\nassert(isequal(FibSumSquares(n),S))","published":true,"deleted":false,"likes_count":10,"comments_count":4,"created_by":18441,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1716,"test_suite_updated_at":"2017-05-23T15:39:51.000Z","rescore_all_solutions":false,"group_id":122,"created_at":"2013-10-19T23:17:50.000Z","updated_at":"2026-04-07T12:00:19.000Z","published_at":"2013-10-19T23:37:18.000Z","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 the Fibonacci sequence defined by the following recursive relation,\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\u003eF(n) = F(n-1) + F(n-2)\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\u003ewhere F(1) = 1 and F(1) = 1\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\u003edetermine the sum of squares for the first \\\"n\\\" terms.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, n=5 --\u0026gt; 1^2 + 1^2 + 2^2 + 3^2 + 5^2 = 40.\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\u003eINPUT n=5\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\u003eOUTPUT S=40\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":52594,"title":"Easy Sequences 10: Sum of Cumsums of Fibonacci Sequence","description":"The function F(n) is defined as the set of Fibonacci numbers from the first up to the n-th. S(n) is the result of applying to F, the MATLAB built-in function 'cumsum' and followed by the function 'sum'. For example for n = 10, we have:\r\n  \u003e\u003e Fn = [1 1 2 3 5 8 13 21 34 55];\r\n  \u003e\u003e Sn = sum(cumsum(Fn))\r\n  \u003e\u003e Sn =\r\n     364\r\nIt has been argued that the Fibonacci sequence exhibits an exponentially growth relative to the golden ratio, which means that S(n) becomes very big, very quickly. So instead, we will do the inverse operation. \r\nGiven a number 's', our task is to find the largest 'n', such that S(n) is less than or equal to 's'. In the example above we have, 'n = 10' for 's = 364' . ","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: 236.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 118.367px; transform-origin: 407px 118.367px; 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: 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: 130.5px 8px; transform-origin: 130.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe function F(n) is defined as the set of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci numbers\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: 188.5px 8px; transform-origin: 188.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e from the first up to the n-th. S(n) is the result of applying to F, the MATLAB built-in function 'cumsum' and followed by the function 'sum'. For example for n = 10, we have:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 40.8667px; transform-origin: 404px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 144px 8.5px; tab-size: 4; transform-origin: 144px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; Fn = [1 1 2 3 5 8 13 21 34 55];\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 100px 8.5px; tab-size: 4; transform-origin: 100px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; Sn = sum(cumsum(Fn))\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 36px 8.5px; tab-size: 4; transform-origin: 36px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; Sn =\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 32px 8.5px; tab-size: 4; transform-origin: 32px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     364\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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 8px; transform-origin: 383.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt has been argued that the Fibonacci sequence exhibits an exponentially growth relative to the golden ratio, which means that S(n) becomes very big, very quickly. So instead, we will do the inverse operation.\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \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: 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: 327px 8px; transform-origin: 327px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven a number 's', our task is to find the largest 'n', such that S(n) is less than or equal to 's'. \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: 47.5px 8px; transform-origin: 47.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn the example above we have,\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \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: 68px 8px; transform-origin: 68px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e'n = 10' for 's = 364' . \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = N(s)\r\n    n = inv_cumsum(inv_sum(s));\r\nend","test_suite":"%%\r\ns = 364;\r\nn_correct = 10;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = 2000;\r\nn_correct = 13;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = 5000:100:10000;\r\nn_correct = 798;\r\nn_answer = sum(arrayfun(@(i) N(i),s));\r\nassert(isequal(n_answer,n_correct))\r\n%%\r\ns = intmax;\r\nn_correct = 42;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = 10^10;\r\nn_correct = 45;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = intmax('uint64');\r\nn_correct = 89;\r\nassert(isequal(N(s),n_correct))\r\n%%\r\ns = realmax/10;\r\nn_correct = 1467;\r\nassert(isequal(N(s),n_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":49,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-08-23T07:31:32.000Z","updated_at":"2025-12-16T04:43:30.000Z","published_at":"2021-08-23T12:03:43.000Z","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\u003eThe function F(n) is defined as the set of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e from the first up to the n-th. S(n) is the result of applying to F, the MATLAB built-in function 'cumsum' and followed by the function 'sum'. For example for n = 10, we have:\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 Fn = [1 1 2 3 5 8 13 21 34 55];\\n  \u003e\u003e Sn = sum(cumsum(Fn))\\n  \u003e\u003e Sn =\\n     364]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIt has been argued that the Fibonacci sequence exhibits an exponentially growth relative to the golden ratio, which means that S(n) becomes very big, very quickly. So instead, we will do the inverse operation.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a number 's', our task is to find the largest 'n', such that S(n) is less than or equal to 's'. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eIn the example above we have,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e'n = 10' for 's = 364' . \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":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":1507,"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":"2026-03-22T08:21:13.000Z","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":44311,"title":"Number of Even Elements in Fibonacci Sequence","description":"Find how many even Fibonacci numbers are available in the first d numbers.\r\n\r\nConsider the following first 14 numbers\r\n\r\n  1 1 2 3 5 8 13 21 34 55 89 144 233 377 ...\r\n\r\n4 of them are even. ","description_html":"\u003cp\u003eFind how many even Fibonacci numbers are available in the first d numbers.\u003c/p\u003e\u003cp\u003eConsider the following first 14 numbers\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e1 1 2 3 5 8 13 21 34 55 89 144 233 377 ...\r\n\u003c/pre\u003e\u003cp\u003e4 of them are even.\u003c/p\u003e","function_template":"function y = evenFibo(d)\r\n  y = x;\r\nend","test_suite":"%%\r\nd = 14;\r\ny_correct = 4;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 20;\r\ny_correct = 6;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 50;\r\ny_correct = 16;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 100;\r\ny_correct = 33;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 150;\r\ny_correct = 50;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 200;\r\ny_correct = 66;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 500;\r\ny_correct = 166;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 1000;\r\ny_correct = 333;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 1e4;\r\ny_correct = 3333;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 2e4;\r\ny_correct = 6666;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 3e5;\r\ny_correct = 1e5;\r\nassert(isequal(evenFibo(d),y_correct))\r\n\r\n%%\r\nd = 6e6;\r\ny_correct = 2e6;\r\nassert(isequal(evenFibo(d),y_correct))\r\n% \r\n% %%\r\n% d = 9223372036854775807;\r\n% y_correct = 3074457345618258432;\r\n% assert(isequal(evenFibo(d),y_correct))\r\n","published":true,"deleted":false,"likes_count":21,"comments_count":9,"created_by":8703,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":1640,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":35,"created_at":"2017-09-11T12:36:15.000Z","updated_at":"2026-03-31T16:31:07.000Z","published_at":"2017-10-16T01:50:58.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind how many even Fibonacci numbers are available in the first d numbers.\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\u003eConsider the following first 14 numbers\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[1 1 2 3 5 8 13 21 34 55 89 144 233 377 ...]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e4 of them are even.\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":47063,"title":"Fibonacci Weights ↧ ↧ ↧↧ ↧↧↧ ↧↧↧↧↧","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; 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: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 111.84px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.493px 55.9201px; transform-origin: 406.493px 55.9201px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 55.5556px; border-block-end-color: rgb(213, 80, 0); border-block-start-color: rgb(213, 80, 0); border-bottom-color: rgb(213, 80, 0); border-inline-end-color: rgb(213, 80, 0); border-inline-start-color: rgb(213, 80, 0); border-left-color: rgb(213, 80, 0); border-right-color: rgb(213, 80, 0); border-top-color: rgb(213, 80, 0); caret-color: rgb(213, 80, 0); color: rgb(213, 80, 0); column-rule-color: rgb(213, 80, 0); font-family: Helvetica, Arial, sans-serif; font-size: 24px; line-height: 28.8px; margin-block-end: 5px; margin-block-start: 3px; margin-bottom: 5px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 3px; outline-color: rgb(213, 80, 0); perspective-origin: 383.49px 27.7778px; text-align: left; text-decoration: none; text-decoration-color: rgb(213, 80, 0); transform-origin: 383.498px 27.7778px; white-space: pre-wrap; margin-left: 4px; margin-top: 3px; margin-bottom: 5px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eExpress \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://in.mathworks.com/matlabcentral/cody/problems/47058-determine-the-zeckendorf-expansion-of-a-number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eZeckendorf\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e expansion for a number as series of binary digits, with fibonacci numbers as respective weights.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.1458px; 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: 383.49px 10.5729px; text-align: left; transform-origin: 383.498px 10.5729px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"90.5\" height=\"19.5\" style=\"width: 90.5px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.1458px; 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: 383.49px 10.5729px; text-align: left; transform-origin: 383.498px 10.5729px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"90.5\" height=\"19.5\" alt=\"/\" style=\"width: 90.5px; height: 19.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = fZ(n)\r\n  y = max_fib(n);\r\n  y = y-n;\r\n  ...\r\nend","test_suite":"%%\r\nn = 63;\r\ny_correct = [1 0 0 0 1 0 0 0 0];\r\nassert(isequal(fZ(n),y_correct))\r\n\r\n%%\r\nn = 263;\r\ny_correct = [1 0 0 0 0 1 0 1 0 0 0 1];\r\nassert(isequal(fZ(n),y_correct))\r\n\r\n%%\r\nn=999999999999;\r\ny_correct = [1\t0\t0\t0\t0\t0\t0\t1\t0\t0\t1\t0\t0\t1\t0\t1\t0\t0\t0\t0\t0\t0\t0\t0\t1\t0\t0\t0\t0\t1\t0\t0\t0\t1\t0\t1\t0\t0\t0\t0\t0\t1\t0\t1\t0\t0\t1\t0\t1\t0\t0\t0\t1\t0\t0\t0\t1\t0];\r\nassert(isequal(fZ(n),y_correct))\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":633508,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":"2020-10-29T01:34:56.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2020-10-24T17:32:26.000Z","updated_at":"2025-11-19T02:08:53.000Z","published_at":"2020-10-24T17:32:26.000Z","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=\\\"title\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExpress \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://in.mathworks.com/matlabcentral/cody/problems/47058-determine-the-zeckendorf-expansion-of-a-number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eZeckendorf\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e expansion for a number as series of binary digits, with fibonacci numbers as respective weights.\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:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef_z(8)=10000;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"/\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef_z(9)=10010;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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":12,"title":"Fibonacci sequence","description":"Calculate the nth Fibonacci number.\r\nGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\r\nExamples:\r\n Input  n = 5\r\n Output f is 5\r\n\r\n Input  n = 7\r\n Output f is 13","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: 181px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 468.5px 90.5px; transform-origin: 468.5px 90.5px; vertical-align: baseline; \"\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 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: 111.642px 8px; transform-origin: 111.642px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the nth Fibonacci number.\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 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: 199.117px 8px; transform-origin: 199.117px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 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: 32.675px 8px; transform-origin: 32.675px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExamples:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 90px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 464.5px 45px; transform-origin: 464.5px 45px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; line-height: 18px; 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; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 464.5px 9px; text-wrap-mode: nowrap; transform-origin: 464.5px 9px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(33, 33, 33); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(33, 33, 33); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(33, 33, 33); border-left-style: none; border-left-width: 0px; border-right-color: rgb(33, 33, 33); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 50.05px 8.5px; tab-size: 4; transform-origin: 50.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 30.8px 8.5px; transform-origin: 30.8px 8.5px; \"\u003e Input  \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(133, 22, 209); border-block-start-color: rgb(133, 22, 209); border-bottom-color: rgb(133, 22, 209); border-inline-end-color: rgb(133, 22, 209); border-inline-start-color: rgb(133, 22, 209); border-left-color: rgb(133, 22, 209); border-right-color: rgb(133, 22, 209); border-top-color: rgb(133, 22, 209); caret-color: rgb(133, 22, 209); color: rgb(133, 22, 209); column-rule-color: rgb(133, 22, 209); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(133, 22, 209); perspective-origin: 19.25px 8.5px; text-decoration-color: rgb(133, 22, 209); text-emphasis-color: rgb(133, 22, 209); transform-origin: 19.25px 8.5px; \"\u003en = 5\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; line-height: 18px; 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; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 464.5px 9px; text-wrap-mode: nowrap; transform-origin: 464.5px 9px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(33, 33, 33); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(33, 33, 33); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(33, 33, 33); border-left-style: none; border-left-width: 0px; border-right-color: rgb(33, 33, 33); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 53.9px 8.5px; tab-size: 4; transform-origin: 53.9px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 30.8px 8.5px; transform-origin: 30.8px 8.5px; \"\u003e Output \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(133, 22, 209); border-block-start-color: rgb(133, 22, 209); border-bottom-color: rgb(133, 22, 209); border-inline-end-color: rgb(133, 22, 209); border-inline-start-color: rgb(133, 22, 209); border-left-color: rgb(133, 22, 209); border-right-color: rgb(133, 22, 209); border-top-color: rgb(133, 22, 209); caret-color: rgb(133, 22, 209); color: rgb(133, 22, 209); column-rule-color: rgb(133, 22, 209); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(133, 22, 209); perspective-origin: 23.1px 8.5px; text-decoration-color: rgb(133, 22, 209); text-emphasis-color: rgb(133, 22, 209); transform-origin: 23.1px 8.5px; \"\u003ef is 5\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; line-height: 18px; 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; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 464.5px 9px; text-wrap-mode: nowrap; transform-origin: 464.5px 9px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(33, 33, 33); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(33, 33, 33); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(33, 33, 33); border-left-style: none; border-left-width: 0px; border-right-color: rgb(33, 33, 33); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 8.5px; tab-size: 4; transform-origin: 0px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; line-height: 18px; 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; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 464.5px 9px; text-wrap-mode: nowrap; transform-origin: 464.5px 9px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(33, 33, 33); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(33, 33, 33); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(33, 33, 33); border-left-style: none; border-left-width: 0px; border-right-color: rgb(33, 33, 33); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 50.05px 8.5px; tab-size: 4; transform-origin: 50.05px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 30.8px 8.5px; transform-origin: 30.8px 8.5px; \"\u003e Input  \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(133, 22, 209); border-block-start-color: rgb(133, 22, 209); border-bottom-color: rgb(133, 22, 209); border-inline-end-color: rgb(133, 22, 209); border-inline-start-color: rgb(133, 22, 209); border-left-color: rgb(133, 22, 209); border-right-color: rgb(133, 22, 209); border-top-color: rgb(133, 22, 209); caret-color: rgb(133, 22, 209); color: rgb(133, 22, 209); column-rule-color: rgb(133, 22, 209); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(133, 22, 209); perspective-origin: 19.25px 8.5px; text-decoration-color: rgb(133, 22, 209); text-emphasis-color: rgb(133, 22, 209); transform-origin: 19.25px 8.5px; \"\u003en = 7\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 18px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; line-height: 18px; 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; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 464.5px 9px; text-wrap-mode: nowrap; transform-origin: 464.5px 9px; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(33, 33, 33); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(33, 33, 33); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(33, 33, 33); border-left-style: none; border-left-width: 0px; border-right-color: rgb(33, 33, 33); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 57.75px 8.5px; tab-size: 4; transform-origin: 57.75px 8.5px; unicode-bidi: normal; white-space-collapse: preserve; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 30.8px 8.5px; transform-origin: 30.8px 8.5px; \"\u003e Output \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(133, 22, 209); border-block-start-color: rgb(133, 22, 209); border-bottom-color: rgb(133, 22, 209); border-inline-end-color: rgb(133, 22, 209); border-inline-start-color: rgb(133, 22, 209); border-left-color: rgb(133, 22, 209); border-right-color: rgb(133, 22, 209); border-top-color: rgb(133, 22, 209); caret-color: rgb(133, 22, 209); color: rgb(133, 22, 209); column-rule-color: rgb(133, 22, 209); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(133, 22, 209); perspective-origin: 26.95px 8.5px; text-decoration-color: rgb(133, 22, 209); text-emphasis-color: rgb(133, 22, 209); transform-origin: 26.95px 8.5px; \"\u003ef is 13\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function f = fib(n)\r\n  f = n;\r\nend","test_suite":"%%\r\nfiletext = fileread('fib.m');\r\nillegal = contains(filetext, 'regexp') || contains(filetext, 'assert') || ...\r\n          contains(filetext, 'switch') || contains(filetext, 'elseif') || ...\r\n          contains(filetext, '610')     || contains(filetext, '1597');\r\nassert(~illegal)\r\n\r\n%%\r\nn = 1;\r\nf = 1;\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 6;\r\nf = 8;\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 7;\r\nf = 13;\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 10;\r\nf = 55;\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 12;\r\nf = 144;\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 15;\r\nf = 610;\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 17;\r\nf = 1597;\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 20;\r\nf = 6765;\r\nassert(isequal(fib(n),f))","published":true,"deleted":false,"likes_count":108,"comments_count":25,"created_by":1,"edited_by":223089,"edited_at":"2026-02-05T13:22:21.000Z","deleted_by":null,"deleted_at":null,"solvers_count":14137,"test_suite_updated_at":"2026-02-05T13:22:22.000Z","rescore_all_solutions":false,"group_id":2,"created_at":"2012-01-18T01:00:18.000Z","updated_at":"2026-04-08T04:47:16.000Z","published_at":"2012-01-18T01:00:18.000Z","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\u003eCalculate the nth Fibonacci number.\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\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples:\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[ Input  n = 5\\n Output f is 5\\n\\n Input  n = 7\\n Output f is 13]]\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":56393,"title":"Easy Sequences 77: Powers of Fibonacci Numbers","description":"Given integers  and , we are asked to evaluate the following function: . That is,  equals  raised to the power of the -th Fibonacci number. We define  as follows:  and  for .\r\n        Example:     .\r\nPlease reduce the output, modulo .\r\n------------------------\r\nHINT: One solution is already shown, however java math is not allowed.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 172px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 86px; transform-origin: 407px 86px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 47px; 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 23.5px; text-align: left; transform-origin: 384px 23.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eGiven integers\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, we are asked to evaluate the following function: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"82\" height=\"25\" style=\"width: 82px; height: 25px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. That is, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eP\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e equals\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e raised to the power of the\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e-th\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eFibonacci number\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. We define \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"20\" style=\"width: 15px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e as follows: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"76\" height=\"20\" style=\"width: 76px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg 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width=\"33.5\" height=\"18\" style=\"width: 33.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 25px; 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 12.5px; text-align: left; transform-origin: 384px 12.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e        Example:     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"162\" height=\"25\" style=\"width: 162px; height: 25px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ePlease reduce the output, modulo \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"93.5\" height=\"20\" style=\"width: 93.5px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e------------------------\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHINT:\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e One solution is already shown, however java math is not allowed.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = P(x,n)\r\n    import java.math.BigInteger    \r\n    m = 2178309;   \r\n    p = BigInteger(num2str(x)).modPow(fiboBig(n),BigInteger(num2str(m))).longValue();\r\n\r\n    function f = fiboBig(a)\r\n        if a == 0\r\n            f = BigInteger.ZERO;\r\n        else\r\n            fs = [BigInteger.ONE BigInteger.ONE];\r\n            for i = 3:a\r\n                fs = [fs(2) fs(1).add(fs(2))];\r\n            end\r\n            f = fs(2);\r\n        end\r\n    end\r\nend","test_suite":"%%\r\nx = 3; n = 6;\r\np_correct = 6561;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 10; n = 10;\r\np_correct = 1704349;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 11:20; n = x.*10;\r\np_correct = [1789328 703074 1326793 1022378 1427238 485143 399395 1317366 1490422 632477];\r\nassert(isequal(arrayfun(@(i) P(x(i),n(i)),1:length(x)),p_correct))\r\n%%\r\nx = 50; n = 50;\r\np_correct = 2101373;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 1234; n = 5678;\r\np_correct = 1816441;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 11111; n = 11111;\r\np_correct = 1606418;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 99999999; n1 = 3200055; n2 = 1185207;\r\np_correct = P(x,n1);\r\nassert(isequal(P(x,n2),p_correct))\r\n%%\r\nx = 123456789; n = 123456789;\r\np_correct = 1611366;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = 1e12; n = 1e12;\r\np_correct = 1935991;\r\nassert(isequal(P(x,n),p_correct))\r\n%%\r\nx = setdiff(primes(1000),primes(100)); n = x.^2;\r\np = arrayfun(@(i) P(x(i),n(i)),1:length(x));\r\ns_correct = [828561 675946 113 717102];\r\nassert(isequal(floor([mean(p) median(p) mode(p) std(p)]),s_correct))\r\n%%\r\nfiletext = fileread('P.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":8,"created_by":255988,"edited_by":255988,"edited_at":"2022-10-19T20:51:20.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2022-10-19T20:51:20.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-18T16:04:17.000Z","updated_at":"2026-03-23T13:00:56.000Z","published_at":"2022-10-18T17:04:18.000Z","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 integers\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, we are asked to evaluate the following function: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP(x,n)=x^{F_n}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. That is, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e equals\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e raised to the power of the\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th\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://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. We define \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e as follows: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_1=F_2=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_i=F_{i-1}+F_{i-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ei\u0026gt;2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e        Example:     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP(3,6)=3^{F_6}=3^8=6561\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePlease reduce the output, modulo \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{32}=2178309\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e------------------------\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHINT:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e One solution is already shown, however java math is not allowed.\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":3092,"title":"Return fibonacci sequence  do not use loop and condition","description":"Calculate the nth Fibonacci number.\r\n\r\nGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\r\n\r\nExamples:\r\n\r\n Input  n = 5\r\n Output f is 5\r\n Input  n = 7\r\n Output f is 13\r\n\r\nbut, *loop and conditional statement is forbidden*","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: 203.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 101.867px; transform-origin: 407px 101.867px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 113.5px 8px; transform-origin: 113.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCalculate the nth Fibonacci number.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 204px 8px; transform-origin: 204px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 32px 8px; transform-origin: 32px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eExamples:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 81.7333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 40.8667px; transform-origin: 404px 40.8667px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 52px 8.5px; transform-origin: 52px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 32px 8.5px; transform-origin: 32px 8.5px; \"\u003e Input  \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 20px 8.5px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 20px 8.5px; \"\u003en = 5\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 56px 8.5px; transform-origin: 56px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 32px 8.5px; transform-origin: 32px 8.5px; \"\u003e Output \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 24px 8.5px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 24px 8.5px; \"\u003ef is 5\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 52px 8.5px; transform-origin: 52px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 32px 8.5px; transform-origin: 32px 8.5px; \"\u003e Input  \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 20px 8.5px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 20px 8.5px; \"\u003en = 7\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 60px 8.5px; transform-origin: 60px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 32px 8.5px; transform-origin: 32px 8.5px; \"\u003e Output \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 28px 8.5px; text-decoration: none; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 28px 8.5px; \"\u003ef is 13\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 12px 8px; transform-origin: 12px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ebut,\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \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: 153px 8px; transform-origin: 153px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eloop and conditional statement is forbidden\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function f = fib(n)\r\n  f = n;\r\nend","test_suite":"%%% functions forbidden\r\n\r\n\r\n% Clean user's function from some known jailbreaking mechanisms\r\nfunctions={'!','feval','eval','str2func','str2num','regex','system','dos','unix','perl','assert','fopen','write','save','setenv','path','please','for','if','while','switch','round','roundn','fix','ceil','char','floor'};\r\nassessFunctionAbsence(functions, 'FileName', 'fib.m');\r\n%%\r\nn = 1;\r\nf = 1;\r\nassert(abs(fib(n) - f) \u003c 1e-4)\r\n\r\n%%\r\nn = 6;\r\nf = 8;\r\nassert(abs(fib(n) - f) \u003c 1e-4)\r\n\r\n%%\r\nn = 10;\r\nf = 55;\r\nassert(abs(fib(n) - f) \u003c 1e-4)\r\n\r\n%%\r\nn = 20;\r\nf = 6765;\r\nassert(abs(fib(n) - f) \u003c 1e-4)","published":true,"deleted":false,"likes_count":15,"comments_count":11,"created_by":3668,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":855,"test_suite_updated_at":"2021-02-15T12:43:32.000Z","rescore_all_solutions":false,"group_id":30,"created_at":"2015-03-18T15:03:18.000Z","updated_at":"2026-03-16T14:19:58.000Z","published_at":"2015-03-18T15:25:13.000Z","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\u003eCalculate the nth Fibonacci number.\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\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples:\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[ Input  n = 5\\n Output f is 5\\n Input  n = 7\\n Output f is 13]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ebut,\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:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eloop and conditional statement is forbidden\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":43016,"title":"Find the next Fibonacci number","description":"In the sequence of Fibonacci numbers, every number is the sum of the two preceding ones:\r\n  \r\n  1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, ...\r\n\r\nThe initial two numbers are generally chosen as [1, 1].\r\n  \r\nGiven one or more integers n, find the next integer that is a Fibonacci number, for each of them.\r\n\r\nExample 1:\r\n\r\n  n = 6;\r\n  out = 8;\r\n\r\nExample 2:\r\n\r\n  n = [12 44 50];\r\n  out = [13 55 55];\r\n","description_html":"\u003cp\u003eIn the sequence of Fibonacci numbers, every number is the sum of the two preceding ones:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003e1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, ...\r\n\u003c/pre\u003e\u003cp\u003eThe initial two numbers are generally chosen as [1, 1].\u003c/p\u003e\u003cp\u003eGiven one or more integers n, find the next integer that is a Fibonacci number, for each of them.\u003c/p\u003e\u003cp\u003eExample 1:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003en = 6;\r\nout = 8;\r\n\u003c/pre\u003e\u003cp\u003eExample 2:\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003en = [12 44 50];\r\nout = [13 55 55];\r\n\u003c/pre\u003e","function_template":"function y = next_fibonacci(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 6;\r\nout = 8;\r\nassert(isequal(next_fibonacci(n),out));\r\n%%\r\nn = [12 40 50];\r\nout = [13 55 55];\r\nassert(isequal(next_fibonacci(n),out));\r\n%%\r\nn = 10.^(1:5);\r\nout = [13 144 1597 10946 121393];\r\nassert(isequal(next_fibonacci(n),out));\r\n%%\r\nn = round(7.^(3:.5:7));\r\nout = [377 987 2584 6765 17711 46368 121393 317811 832040];\r\nassert(isequal(next_fibonacci(n),out));\r\n","published":true,"deleted":false,"likes_count":7,"comments_count":0,"created_by":28354,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":905,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-10-04T12:27:08.000Z","updated_at":"2026-03-09T12:37:53.000Z","published_at":"2016-10-04T12:27:08.000Z","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 the sequence of Fibonacci numbers, every number is the sum of the two preceding ones:\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[1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, ...]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe initial two numbers are generally chosen as [1, 1].\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\u003eGiven one or more integers n, find the next integer that is a Fibonacci number, for each of them.\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\u003eExample 1:\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[n = 6;\\nout = 8;]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExample 2:\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[n = [12 44 50];\\nout = [13 55 55];]]\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":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":2837,"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":"2026-03-31T16:32:01.000Z","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":47073,"title":"Find the nth Fibbinary number","description":null,"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: 308.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 154.375px; transform-origin: 407px 154.375px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.625px; text-align: left; transform-origin: 384px 31.625px; 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: 255.117px 7.91667px; transform-origin: 255.117px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe numbers 0, 1, 2, 4, 5, 8, 9, and 10 form the first eight elements (i.e., elements \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABOUlEQVRYhe2VXbGDMBBGj4c4wEANREEV1AEO4qAW0ICEeLgWqgEL3Idkh21uEmiB2+lMzkweYMl+2T8CjUaj0Wh8iAvQAw6w8Z2Nz5czRT3wiOIWGIAfYI6rO0P4Fp0/AJPYZmX7V2Etfj9a+Kqc24y9W7G/jQGm6HgsfCNZmfibFUPoCVmeFxrSsURV2uSj3RcOPqpD9Su+npCoU8eCVYdziW0gX4qJMB1Vao4FTz4zRr1PSyF7qv2hU37N2HuWzKT1loPnIhS/1cmoid8IYzfyXJYh7pO9NfFSKYGQxll9aOJyLPMukUs3y0RsEV+tu0Sml+7eKXm/RWCzOISUO0KN0/926TKRkdot/g67G24vUo4UGbXcBB1G7SdTuqAOQ6ZBj5T0wqlRCx3LhXInTMShN1+j0fgefgFsKIIPBf1eagAAAABJRU5ErkJggg==\" alt=\"a_0\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\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: 9.71667px 7.91667px; transform-origin: 9.71667px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABJ0lEQVRYhe2WUY3DMAyGPw5lMAIlEARFMAZhUAajEAyFEA6lUAylsHuYc3Ozutmm5aaT8kl+aGz5d+y0KTQajUaj8SV6wAMj4GTNyXNfUzQCi4g7IAAzcBU71RA+S/IF6DLfVfn+VFiLXz4tPKjkbsd/KvjfpgNWSTwZMakrK9uuBFXUnhULHVWwdYqj+GNW9CKFucxm7PFtSLuOht+p4ka17kXYyhlKwlZiTaTcGU06P0MpULd8L9hz70w+b4vwbOyR+Jnb3Ca2YwnYXUKErYO7oVfiUartJHk6MGnnQewoccpnnYUH0s60TdzbtmbrR1wk7pnx/DJw263n8bv9ymWyYL81VUlfQf8NcU/FG6/ELPbSvD9BavnRK1iNdPFU+8NpNBr/gx+twmvaJTM4bAAAAABJRU5ErkJggg==\" alt=\"a_7\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\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: 102.683px 7.91667px; transform-origin: 102.683px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) of the Fibbinary sequence. The name is a portmanteau that arose because of connections to Fibonacci numbers and binary numbers. The connection to Fibonacci numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"F(k)\" style=\"width: 32.5px; height: 19px;\" width=\"32.5\" height=\"19\"\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: 37.7167px 7.91667px; transform-origin: 37.7167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis that if the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/47058-determine-the-zeckendorf-expansion-of-a-number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eZeckendorf expansion\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: 9.71667px 7.91667px; transform-origin: 9.71667px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 8.94167px 7.91667px; transform-origin: 8.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.625px; text-align: left; transform-origin: 384px 10.625px; 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: 9.70833px 7.91667px; transform-origin: 9.70833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"n = F(k_1) + F(k_2) + \\ldots + F(k_m)\" style=\"width: 199px; height: 20px;\" width=\"199\" height=\"20\"\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 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 13.6167px 7.91667px; transform-origin: 13.6167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ethen\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 26px; 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 13px; text-align: left; transform-origin: 384px 13px; 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: 9.70833px 7.91667px; transform-origin: 9.70833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"a_n = 2^{k_1-2}+2^{k_2-2}+\\ldots+2^{k_m-2}\" style=\"width: 192px; height: 26px;\" width=\"192\" height=\"26\"\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 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 357.083px 7.91667px; transform-origin: 357.083px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe connection to binary numbers is that the binary representations of the Fibbinary numbers have no adjacent 1s. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.625px; text-align: left; transform-origin: 384px 10.625px; 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: 42.7833px 7.91667px; transform-origin: 42.7833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABJ0lEQVRYhe2WUY3DMAyGPw5lMAIlEARFMAZhUAajEAyFEA6lUAylsHuYc3Ozutmm5aaT8kl+aGz5d+y0KTQajUaj8SV6wAMj4GTNyXNfUzQCi4g7IAAzcBU71RA+S/IF6DLfVfn+VFiLXz4tPKjkbsd/KvjfpgNWSTwZMakrK9uuBFXUnhULHVWwdYqj+GNW9CKFucxm7PFtSLuOht+p4ka17kXYyhlKwlZiTaTcGU06P0MpULd8L9hz70w+b4vwbOyR+Jnb3Ca2YwnYXUKErYO7oVfiUartJHk6MGnnQewoccpnnYUH0s60TdzbtmbrR1wk7pnx/DJw263n8bv9ymWyYL81VUlfQf8NcU/FG6/ELPbSvD9BavnRK1iNdPFU+8NpNBr/gx+twmvaJTM4bAAAAABJRU5ErkJggg==\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" height=\"20\"\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: 148.975px 7.91667px; transform-origin: 148.975px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e = 10. The Zeckendorf expansion of 7 is 2+5, or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"F(3)+F(5)\" style=\"width: 79.5px; height: 19px;\" width=\"79.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.5px 7.91667px; transform-origin: 17.5px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.70833px 7.91667px; transform-origin: 9.70833px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"10=2^{3-2}+2^{5-2} = 2+8\" style=\"width: 155px; height: 19.5px;\" width=\"155\" height=\"19.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 210.442px 7.91667px; transform-origin: 210.442px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAlso, the binary expansion of 10 is 1010, which has no adjacent 1s. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.1px 7.91667px; transform-origin: 83.1px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to find the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 65.7333px 7.91667px; transform-origin: 65.7333px 7.91667px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eth Fibbinary number. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = Fibbinary(n)\r\n  y = f(n);\r\nend","test_suite":"%%\r\nn = 0;\r\ny_correct = 0;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 4;\r\ny_correct = 5;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 7;\r\ny_correct = 10;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 77;\r\ny_correct = 321;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 777;\r\ny_correct = 9282;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 5000;\r\ny_correct = 140562;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 7777;\r\ny_correct = 278597;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 77777;\r\ny_correct = 8455236;\r\nassert(isequal(Fibbinary(n),y_correct))\r\n\r\n%%\r\nn = 100000;\r\ny_correct = 9704021;\r\nassert(isequal(Fibbinary(n),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":46909,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-25T02:19:28.000Z","updated_at":"2020-10-27T04:39:32.000Z","published_at":"2020-10-25T03:48:13.000Z","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\u003eThe numbers 0, 1, 2, 4, 5, 8, 9, and 10 form the first eight elements (i.e., elements \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a_0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a_7\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) of the Fibbinary sequence. The name is a portmanteau that arose because of connections to Fibonacci numbers and binary numbers. The connection to Fibonacci numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"F(k)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(k)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis that if the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/47058-determine-the-zeckendorf-expansion-of-a-number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eZeckendorf expansion\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n = F(k_1) + F(k_2) + \\\\ldots + F(k_m)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = F(k_1) + F(k_2) + \\\\ldots + F(k_m)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethen\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\u003e     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"a_n = 2^{k_1-2}+2^{k_2-2}+\\\\ldots+2^{k_m-2}\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_n = 2^{k_1-2}+2^{k_2-2}+\\\\ldots+2^{k_m-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe connection to binary numbers is that the binary representations of the Fibbinary numbers have no adjacent 1s. \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\u003eFor example, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e = 10. The Zeckendorf expansion of 7 is 2+5, or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"F(3)+F(5)\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(3)+F(5)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and \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\u003e     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"10=2^{3-2}+2^{5-2} = 2+8\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10=2^{3-2}+2^{5-2} = 2+8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003eAlso, the binary expansion of 10 is 1010, which has no adjacent 1s. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to find the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eth Fibbinary number. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":44481,"title":"How many Fibonacci numbers? ","description":"Find the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers.\r\n\r\nExample:\r\n\r\n x = [1 2 3 4 5 6 7 8 8]\r\n y = 5","description_html":"\u003cp\u003eFind the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers.\u003c/p\u003e\u003cp\u003eExample:\u003c/p\u003e\u003cpre\u003e x = [1 2 3 4 5 6 7 8 8]\r\n y = 5\u003c/pre\u003e","function_template":"function y = fib_count(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [1 4 5 7 10 11 13 20 21 23 29];\r\ny_correct = 4;\r\nassert(isequal(fib_count(x),y_correct))\r\n\r\n%%\r\nx = 5:5:100;\r\ny_correct = 2;\r\nassert(isequal(fib_count(x),y_correct))\r\n\r\n%%\r\n%x = [2 2 3 3 3 3 3 3 5 5 6 6 6 7 86168291600238450732788312165664788095941068326060883324529903470149056115823592713458328176574447204501];\r\n% Changed the test suite to a number that can be represented as an integer in DOUBLE\r\nx = [2 2 3 3 3 3 3 3 5 5 6 6 6 7 8944394323791465];\r\ny_correct = 3;\r\nassert(isequal(fib_count(x),y_correct))\r\n\r\n%%\r\nx = [2 2 3 3 3 3 3 3 5 5 6 6 6 7 8944394323791464];\r\ny_correct = 4;\r\nassert(isequal(fib_count(x),y_correct))\r\n","published":true,"deleted":false,"likes_count":5,"comments_count":9,"created_by":172785,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":984,"test_suite_updated_at":"2019-02-08T20:17:38.000Z","rescore_all_solutions":true,"group_id":122,"created_at":"2018-01-06T17:29:02.000Z","updated_at":"2026-03-31T16:35:24.000Z","published_at":"2018-01-06T17:29:06.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind the number of unique Fibonacci numbers (don't count repeats) in a vector of positive integers.\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\u003eExample:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[ x = [1 2 3 4 5 6 7 8 8]\\n y = 5]]\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":2024,"title":"Triangle sequence ","description":"A sequence of triangles is constructed in the following way:\r\n1) the first triangle is Pythagoras' 3-4-5 triangle\r\n2) the second triangle is a right-angle triangle whose second longest side is the hypotenuse of the first triangle, and whose shortest side is the same length as the second longest side of the first triangle\r\n3) the third triangle is a right-angle triangle whose second longest side is the hypotenuse of the second triangle, and whose shortest side is the same length as the second longest side of the second triangle etc.\r\nEach triangle in the sequence is constructed so that its second longest side is the hypotenuse of the previous triangle and its shortest side is the same length as the second longest side of the previous triangle.\r\nWhat is the area of a square whose side is the hypotenuse of the nth triangle in the 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: 234px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 117px; transform-origin: 407px 117px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 185px 8px; transform-origin: 185px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA sequence of triangles is constructed in the following way:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 148.5px 8px; transform-origin: 148.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e1) the first triangle is Pythagoras' 3-4-5 triangle\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: 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: 365.5px 8px; transform-origin: 365.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2) the second triangle is a right-angle triangle whose second longest side is the hypotenuse of the first triangle, and whose shortest side is the same length as the second longest side of the first triangle\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: 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: 368px 8px; transform-origin: 368px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e3) the third triangle is a right-angle triangle whose second longest side is the hypotenuse of the second triangle, and whose shortest side is the same length as the second longest side of the second triangle etc.\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: 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: 384px 8px; transform-origin: 384px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEach triangle in the sequence is constructed so that its second longest side is the hypotenuse of the previous triangle and its shortest side is the same length as the second longest side of the previous triangle.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 299px 8px; transform-origin: 299px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhat is the area of a square whose side is the hypotenuse of the nth triangle in the sequence?\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function area = triangle_sequence(n)\r\n  area = n;\r\nend","test_suite":"%%\r\nfiletext = fileread('triangle_sequence.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'regexp') || ...\r\n          contains(filetext, 'str2num'); \r\nassert(~illegal)\r\n%%\r\nn = 1;\r\narea_correct = 25;\r\ntolerance = 1e-6;\r\nassert(abs(triangle_sequence(n)-area_correct)\u003ctolerance)\r\n%%\r\nn = 2;\r\narea_correct = 41;\r\ntolerance = 1e-6;\r\nassert(abs(triangle_sequence(n)-area_correct)\u003ctolerance)\r\n%%\r\nn = 3;\r\narea_correct = 66;\r\ntolerance = 1e-6;\r\nassert(abs(triangle_sequence(n)-area_correct)\u003ctolerance)\r\n%%\r\nn = 9;\r\narea_correct = 1186;\r\ntolerance = 1e-6;\r\nassert(abs(triangle_sequence(n)-area_correct)\u003ctolerance)\r\n%%\r\nn = 13;\r\narea_correct = 8129;\r\ntolerance = 1e-6;\r\nassert(abs(triangle_sequence(n)-area_correct)\u003ctolerance)\r\n%%\r\nn = 22;\r\narea_correct = 617911;\r\ntolerance = 1e-6;\r\nassert(abs(triangle_sequence(n)-area_correct)\u003ctolerance)\r\n%%\r\nn = 50;\r\narea_correct = 439116598409;\r\ntolerance = 1e-3;\r\nassert(abs(triangle_sequence(n)-area_correct)\u003ctolerance)","published":true,"deleted":false,"likes_count":156,"comments_count":39,"created_by":974,"edited_by":223089,"edited_at":"2023-03-16T15:12:00.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5832,"test_suite_updated_at":"2023-03-16T15:12:00.000Z","rescore_all_solutions":false,"group_id":7,"created_at":"2013-11-27T20:39:45.000Z","updated_at":"2026-04-07T19:40:17.000Z","published_at":"2013-11-28T17:12:38.000Z","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\u003eA sequence of triangles is constructed in the following way:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e1) the first triangle is Pythagoras' 3-4-5 triangle\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\u003e2) the second triangle is a right-angle triangle whose second longest side is the hypotenuse of the first triangle, and whose shortest side is the same length as the second longest side of the first triangle\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\u003e3) the third triangle is a right-angle triangle whose second longest side is the hypotenuse of the second triangle, and whose shortest side is the same length as the second longest side of the second triangle etc.\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\u003eEach triangle in the sequence is constructed so that its second longest side is the hypotenuse of the previous triangle and its shortest side is the same length as the second longest side of the previous triangle.\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\u003eWhat is the area of a square whose side is the hypotenuse of the nth triangle in the 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":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":679,"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":"2026-03-01T13:32:27.000Z","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":3095,"title":" Return fibonacci sequence do not use loop and condition version 2","description":"Calculate the nth Fibonacci number,return sequence\r\n\r\nGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\r\n\r\nExamples:\r\n\r\n Input  n = 2 : 5\r\n Output f is [1 2 3 5]\r\n Input  n = 7 : 10\r\n Output f is [13    21    34    55]\r\n\r\nbut, loop and conditional statement is forbidden","description_html":"\u003cp\u003eCalculate the nth Fibonacci number,return sequence\u003c/p\u003e\u003cp\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\u003c/p\u003e\u003cp\u003eExamples:\u003c/p\u003e\u003cpre\u003e Input  n = 2 : 5\r\n Output f is [1 2 3 5]\r\n Input  n = 7 : 10\r\n Output f is [13    21    34    55]\u003c/pre\u003e\u003cp\u003ebut, loop and conditional statement is forbidden\u003c/p\u003e","function_template":"function y = fib(x)\r\n  y = x;\r\nend","test_suite":"%%% Clean workspace\r\n% !/bin/cp fib.m safe\r\n% !/bin/rm *.*\r\n% !/bin/mv safe fib.m\r\n\r\n% Clean user's function from some known jailbreaking mechanisms\r\nfunctions={'!','feval','eval','str2func','str2num','regex','system','dos','unix','perl','assert','fopen','write','save','setenv','path','please','for','if','while','switch','round','roundn','fix','ceil','char','floor','\\.','^','power'};\r\nfid = fopen('fib.m');\r\n  st = char(fread(fid)');\r\n  for n = 1:numel(functions)\r\n    st = regexprep(st, functions{n}, 'error(''No fancy functions!''); %','ignorecase');\r\n  end\r\n  st = regexprep(st, 'function', 'error(''No fancy functions!''); %','ignorecase',2);\r\nfclose(fid);\r\nfid = fopen('fib.m' , 'w');\r\n  fwrite(fid,st);\r\nfclose(fid);\r\n\r\n%%\r\nn = 1:5;\r\nf = [1     1     2     3     5];\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\nn = 7 : 10;\r\nf = [13    21    34    55];\r\nassert(isequal(fib(n),f))\r\n\r\n%%\r\n\r\nn = 20 : 22;\r\nf = [ 6765       10946       17711];\r\nassert(isequal(fib(n),f))","published":true,"deleted":false,"likes_count":0,"comments_count":21,"created_by":3668,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":64,"test_suite_updated_at":"2015-03-19T15:13:29.000Z","rescore_all_solutions":false,"group_id":30,"created_at":"2015-03-19T14:56:25.000Z","updated_at":"2026-03-16T14:37:24.000Z","published_at":"2015-03-19T14:56:25.000Z","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\u003eCalculate the nth Fibonacci number,return sequence\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\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eExamples:\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[ Input  n = 2 : 5\\n Output f is [1 2 3 5]\\n Input  n = 7 : 10\\n Output f is [13    21    34    55]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ebut, loop and conditional statement is forbidden\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":42248,"title":"Return fibonacci sequence do not use loop and condition version 3","description":"Calculate the nth Fibonacci number,return sequence\r\n\r\nGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\r\n\r\nin this time,return a function handle\r\n\r\n f  = fib(n)\r\n\r\ngenerate the sequence from the n-th item\r\n\r\nif n = 3\r\n\r\nfirst call:\r\n\r\n f() = 2\r\n\r\nsecond call\r\n\r\n f() = 3\r\n\r\nthird call\r\n\r\n f() = 5\r\n\r\nif n = 7\r\n\r\nfirst call:\r\n\r\n f() = 13\r\n\r\nsecond call\r\n\r\n f() = 21\r\n\r\nthird call\r\n\r\n f() = 34\r\n\r\nbut, loop and conditional statement is forbidden","description_html":"\u003cp\u003eCalculate the nth Fibonacci number,return sequence\u003c/p\u003e\u003cp\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\u003c/p\u003e\u003cp\u003ein this time,return a function handle\u003c/p\u003e\u003cpre\u003e f  = fib(n)\u003c/pre\u003e\u003cp\u003egenerate the sequence from the n-th item\u003c/p\u003e\u003cp\u003eif n = 3\u003c/p\u003e\u003cp\u003efirst call:\u003c/p\u003e\u003cpre\u003e f() = 2\u003c/pre\u003e\u003cp\u003esecond call\u003c/p\u003e\u003cpre\u003e f() = 3\u003c/pre\u003e\u003cp\u003ethird call\u003c/p\u003e\u003cpre\u003e f() = 5\u003c/pre\u003e\u003cp\u003eif n = 7\u003c/p\u003e\u003cp\u003efirst call:\u003c/p\u003e\u003cpre\u003e f() = 13\u003c/pre\u003e\u003cp\u003esecond call\u003c/p\u003e\u003cpre\u003e f() = 21\u003c/pre\u003e\u003cp\u003ethird call\u003c/p\u003e\u003cpre\u003e f() = 34\u003c/pre\u003e\u003cp\u003ebut, loop and conditional statement is forbidden\u003c/p\u003e","function_template":"function y = fib(x)\r\n  y = x;\r\nend","test_suite":"%%% Clean workspace\r\n% !/bin/cp fib.m safe\r\n% !/bin/rm *.*\r\n% !/bin/mv safe fib.m\r\n\r\n% Clean user's function from some known jailbreaking mechanisms\r\nfunctions={'!','feval','eval','str2func','str2num','regex','system','dos','unix','perl','assert','fopen','write','save','setenv','path','please','for','if','while','switch','global','figure'...\r\n    'round','roundn','fix','ceil','char','floor','\\.','^','pow','\\^','sscanf','persistent'};\r\nfid = fopen('fib.m');\r\n  st = char(fread(fid)');\r\n  for n = 1:numel(functions)\r\n    st = regexprep(st, functions{n}, 'error(''No fancy functions!''); %','ignorecase');\r\n  end\r\n \r\nfclose(fid);\r\nfid = fopen('fib.m' , 'w');\r\n  fwrite(fid,st);\r\nfclose(fid);\r\n\r\n%%\r\nn = 2;\r\nf = fib(n);\r\nassert(isequal(f() + f(),f()));\r\nassert(isequal(f(),5));\r\n\r\n\r\n\r\n%%\r\nn = 7;\r\nf = fib(n);\r\nassert(isequal(f() + f(),f()));\r\nassert(isequal(f() + f(),f()));\r\nassert(isequal(f(),233));\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":3668,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":"2015-04-22T17:14:27.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2015-04-22T17:05:37.000Z","updated_at":"2015-04-23T12:17:05.000Z","published_at":"2015-04-22T17:05:37.000Z","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\u003eCalculate the nth Fibonacci number,return sequence\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\u003eGiven n, return f where f = fib(n) and f(1) = 1, f(2) = 1, f(3) = 2, ...\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ein this time,return a function handle\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[ f  = fib(n)]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003egenerate the sequence from the n-th item\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\u003eif n = 3\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\u003efirst call:\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[ f() = 2]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esecond call\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[ f() = 3]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethird call\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[ f() = 5]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eif n = 7\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\u003efirst call:\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[ f() = 13]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003esecond call\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[ f() = 21]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ethird call\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[ f() = 34]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ebut, loop and conditional statement is forbidden\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":56458,"title":"Easy Sequences 80: Sum of the n-th Row of Fibonacci Square Triangle","description":"We shall call the following arrangement of Fibonacci numbers, as the Fibonacci Square Triangle:\r\n                        \r\nwhere:  and  for .\r\nWe can see from the above list, that the first row contains the square of the first Fibonacci number (i.e. ), the 2nd row contains the squares of the next 2 Fibonacci numbers, the 3rd  contains the next 3, the 4th contains the next 4, and so on.\r\nIn this problem, we are required to find the sum of the n-th row of the Fibonacci Square Triangle. For example for the 4th row, the sum is:\r\n        \r\nSince, Fibonacci number squares grows very fast, please present your answer as a row vector of 3 elements. The first element is the first 4 digits of the sum, the second element is the last 4 digits of the sum, and last element is the number of digits of the sum.\r\nTherefore, for the 4th row, your program output should be .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 445px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 222.5px; transform-origin: 407px 222.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWe shall call the following arrangement of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci numbers\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, as the \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFibonacci Square Triangle\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 150px; font-family: Helvetica, Arial, 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src=\"data:image/png;base64,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\" width=\"167\" height=\"19\" style=\"width: 167px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33.5\" height=\"18\" style=\"width: 33.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\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: 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWe can see from the above list, that the first row contains the square of the first Fibonacci number (i.e. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"38\" height=\"20\" style=\"width: 38px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e), the 2nd row contains the squares of the next 2 Fibonacci numbers, the 3rd  contains the next 3, the 4th contains the next 4, and so on.\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: 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eIn this problem, we are required to \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003efind the sum of the n-th row of the Fibonacci Square Triangle\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. For example for the 4th row, the sum is:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e        \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAA1sAAAAqCAYAAABFqkH8AAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAADW6ADAAQAAAABAAAAKgAAAADdjn1ZAAAf1klEQVR4Ae1dCdxfw7kmQtIQa3AtqQ8hqrlIY6s10t7EtdYVtRMhDRGqlFJxg2qb1l5Um9pa2mvflwppPqrhR1D7LiESW0LUEmtvnyc5r843mTNnzjlz/v/z//K+v9+TM8s778w8c2bmnTn/j0UWUVEGlAFlQBlQBpQBZUAZUAaUAWVAGVAGlAFlQBlQBpQBZUAZUAaUAWVAGVAGlAFlQBlQBpQBZUAZUAaUAWVAGVAGlAFlQBlQBpQBZUAZUAaUAWVAGVAGlAFlQBmIxcCisQypnZZjoAtaPBzYBlgemAL8EXgBUGk+A+uiCSOArwMzgXaA4/P/gEpzGdC501z+q6xdxzY/u8pZGGfKUxhPuvcpT2EMqJYyUHMGFkP7JgB03E3MQnxjQKW5DAxB9R8B5tgwfAnADVuleQzo3Gke91XXrGObn2HlLIwz5SmMJ937lKcwBlRLGQhkYAXo3QKMDdTPUtsXCpOBNbMUkX8k8CzwHWAl4EDgSYAO/URAZZFF9gEJLwM9I5HxCOz8MMDWV6DzGnA6wBu+bwDnABwbYmtgYRedO/V+A2LPnTK9DZ13rEPXxfxMK2dhnClP2Tzp3pfNETWUpzCeWlaLDs6WwK4Av34sB4hsjwCddpUwBsgdDztPAMtYRfizsU0CsZZRtivCtwFvAWsb6a7gg0jsZ2Wshzid+Y+BblbewhY9HB3+J3Cwp+MbIW8UcBbwW+A4gAejNBmIjE+AM9MUkvSd8LzKoXMl0jg+Yx15C1OSb+4ID70Q4Dr1M+A8gBcRvksInTsgKJKEzB2pil9p9wMOkYSA5yrQOQI4F+Dc2wHoAaTJQGSEzDuW74zrYhGOtwIXRwNc1/4X+C8g7dKplTlbHP0aDPASbDxwAjAQ8L1PyF5AQjhuZZ7o++0PjAN+DQwHvgYUFe6rlwG2D9IZ9j76xi7/bRDS24FtgDQJLdsZeErjgOlp74eUKeojS3k+8/oIZlkz3IYI9yHaKy19YeFmgI6eic8RnwTckqTTuekscgU68i4wpwBGBJBwE3RmAl+1dHlgpWNg8uwLX2KVXwrxR4BHge5WnkT5d3qHSsR6vo84+83No67CA82bQJGxeTGgU5tB51Pgpym6HDOZDy8j/CfgVuBDgGN1NcBN3CV0LP8J7OXKTNK4KK/ryD8GabRPJ6jO0qy5I5zwqwrf438AnGf3A1yryN0FAA9WLtG5459TMeaO8M71hXPgGYDjwncmRHjI4vrIOdQOTAZYnhdEBwBpEjLvWn1dtPtehOPVYIRrGTm1MQNp/QBTWpmzDdGRvwN2PxmfDXAfyJJQjluZp4NAAvlw8XQO0tm3PMKDyGcA7Q22Crb63sefQLp4krSZyE/zDfKUbXWerGHvEPW9H1Qs6yPTRlEfgWVFeiPAyyj6ihzfPkApWROl6XzT2CsAN8hVgXUBOuwfAfIirY5wZxLeoN8DSP/4vBc4HjgM4Mb/Y+Ay4AVA9Hjr4JMfIJPO3wCHEm2LnZAnb+xt4fi8AVxsZ2TEWY513pihV4dsLvC7AiZHdLh+CYwGRgE8lIwDJgBzAepOAXzCMZ8G3ACwDluWQsLjAG3xhs9cOPk1cWqSdzmeafITZPAwkPdmcDzKsN6NgLpLM+YOORkLkCO+/1yjRDZGQA7D7Qj3kAzrqXOnurlDqjmndgeeADhOgpDDFm87ecgivgWI7IgA7XwB8FCVJkXnXSuti+x7UY45Jx4FyOXDwDXJU8aIz3eAZYEsqTtn66ADpu9i9lHCXKPp1LqkKMe2rbrztA8aTD4+AK4C/gzMAYQjPscCobIkFJ8HpLx92EqzMz4pU/e9b6LRN+mj+fRxVaas8NYqPEl77WfI+1HWR+YYcEyK+gi8kDofsD+KlD5sTUoaxsPBBoAt30UCG84vDZ1RSCr7R3Dx7Qm4pCsSbwOot7JLIUnbFM9PgUscOl2Q9jLATeBcgM4FnQcbv0Ea6+FgLwO45EgkUme4KzMlbc+kzNCU/Lol90ray34Sp3gauCXy6KRd6NFh1o3AZ8DajDjkWKSxrveAJRz5wiF1VnHkM6k7MBN4GuDhLVSegSIPetzoW0EaOXfIx3oA5xa5HwvYciASmEf8yM404jp3DDIQjDV3aHUHgHOMa9rNgIxH1mHr29DlYYr6vE205WIkMI/7VH87M4kXnXcyp1tlXSzK8TngaS7APd2UNRF5CpCx+h8zMyVcZ864fvLSlO/TzwGu04sBXPMZlzWE/U27nCvKMUx2kDrzRF7oi0wAuNeKcN87CpD3gXtSqIyHopTjM/Sw9Qx06773DUj6NgnPUx3gvsLDhEvKlDXttQJPZnvtcNb7UdZHjuEjXIdG/wTYH6CvKO9zqcPWVwxjHESX8GZ/NnC7K7MTpLWjD0LmTRn9GYH8Vzw6XOSfA7iYtwG2/DcS6CzQsfAJD2JsEw93aULHYgbwARDq0LdD9yIgluwCQ9zUboll0LIzEHEZGz7TnCwpRj4OkojjuQ/SaOd3jjxJoqNIHTofLmlDorTJdlpM/SMSvVPMRE94EPJ42OdiEUv49Y7jE+I8FamzHYWEi6rnDtvHOqQ+12GZ69mHiQ7XrKUBl+jcWZCVGHPHtsrDi4xX1mHrVkN3HdsQ4usa+Tx4pUneeUc77UDMdZE2GyWhHHMucH3ZLaVheyBdxuqMFB0zuR2RmJzFXKu+ibaxL2MAl4xAovSVB7LlXEpGWijHRpEvg+0I1ZWnU9G2B4FugEu4BwpPPV0KVtquif6zRrmQw1ar7H1Xol98X1zrE5K9UqasGK6CJ7HdiGfI+1HWR47lIwgfTyIgc6DUYWsTw9DTYt3xnIw0nvQ6m/RAhz4GhMzDMjp4MPKv9ehsndi6NEWH5U9MyZNkHtjo+LBNwyUx5XlMoB6L0wl5AqBDGktGwhDbOSuWQcsO3zkZm9cRJjc+mY7Mfh6FicijvTaPzkOJDm/8XM76tkk+7XATThNuYG8D04CsdnOzfwHYD4gp5IztHB3TaGKr0XOH1b4HsD+8bVoMcMn1SKQOcaRLIUnTudORnBhzp6PFRRbZHgkyFr7DFm/YP090Z9pGjPgbiQ7n5vJGuhnMM+9Yrop10WxP1eFQjjdCQ7iepsk2yJCxIic+qYKzmGvVT9F4Xh53SekE12Out9LfXVL0JDmUY9GXZ915+gUaur401vH8C9LIEff3rD3sP6DD/e5O4HBAuM06bLXK3rcW+sQ1agrg8guQnCplyorRqngS+1U/Q9+Pg9GQMj5yTB+BnDwAyLtc6rDVZhiiwS0Bl1yLRJ5KO5vsgA4JkXy2BXQwzcljUflE6nPCs6rgGLAtnwErZCh/LdG9N0OPm8VUYI0MvbzZI1GAbeViXIU8CKO0T1wGZIlvbHqjMG+leFPhE96wSp1nOhRPS/Jpa21Hvpl0VaI7yEy0wksgzk3tVCs9RjSmA2O3p9Fzh+Mn4zLdbowRl/GhLudjmujc6chMjLnT0WL4YeuHKChje6VtxIhfbejRoUuTkHnHslWti2ntqiKdfRDufAfarLrHJHa4rnFupElVnMVcqy5A4/dM60CSTp9GeNspQ7cIx63Ak6/b3ZD5YcLRn3yKSd7teM4GVgVGAcKt77DVSnvf+UafOEf4k8czgA2ALClTlrar5Cmr7bHyi7wfaXWn+cixfQTW/wAg73KpwxaNvWUYexXhlZm4kMi56KcQyU/ftvA0zoPEMnaGI94daXMA/t1Q1iHJUfzLpHMQYpvu/jLFH5BNKu1F2ALFpwJ9LTNsb1kZCQNsKzmKLb1gkIuajM9ejgq42I1zpLuSjkcibXHMfbIHMqVOPn9kKK+FsMwXLqBZIvxcnqJIB/ca4FeO/BjjI+/GaIf9skmNnjvbocEyLv/wNP4Hht4kjx6zhB+dO36iQueObWV7JMiY+Q4CfzD0xtpGjDjzxN55RrodzJp31K9yXbTbU2U8lGNfGxZH5iMAuT0ZSJMqOZO5WMVa5eoP30d5l9Z3KRhpeTnuDDztnvDzBp70g3zCMSOXQxOlkMNWK+199Ofk4CnvjPm8CflpfnOZsqSzap5YR9VS5P3wtSnNR67CR3gADZGxTvMTfG3tkMdP7mKMzycAviALg/Dvq6TvHEBTuiDyf8CDZqInLAPNTauoLIqCrwFs02GBRnjrRP0RDv2NkDYN6G/l8fD4EPAVKz1vVJyaWXkLBujvDR0ZGx667HeSffsE2AEIkXugRHu7ZChzDMyvWyzDxXQfYAbAtvwCoF6WrAsFlmc5W1j+UuD3gG3re0jjTXNZqdKBafTc4Q0iuRSkXYDsb+hwLvlE546PnX/n3YMgec+aO/8uMT8U6qROTOyzju/bRoz4UYYe52Sa+OYdy1S9Lqa1q4r0UI7T6u6BDN46k/uxaUpIr5qzKtcqV7fuQyL7zHUsS/Jw3Bl44p7Kn+ryS1XvDHLWT3S5j4mMQoDcEoMl0Xhyv7sUYBmGTanj3rcGGngLMBXgZTr7ZYMfKlYFbClTthE82e2NHS/yfvjaQE7SfOQqfIRch62uvpYj71RgO+CbiV4/PCckab4b5ES98ON6lNy2cOl/F/wugtys80obCnBTFnkTgU2BnsDXgN2AQQBvdUPkq4nS0yHKKTocg9UATmg6/CHybKJkL4p9kX5nkne2YYjvw38CVwNzjfS6BYcYDXobYS5a6wG8ZdsY4G0J2x/6BTB0fLiI7gfcDmwDUOhkErzd2gyYAoTIC1D6AmCbyfvngMg5CAwD/gZMAkRWQoDv5VqSUMNnG9rU6Lkz1eJhJ8T/aKUx+r6RtqQRdgV17rhYWTAtdO4sWDIsxXRS5niKmHnSJpe6b97FWhe5DnCNKCsPw8DgskYKlO+CMlxjfwrIZdwxCL8L2F/aY3EG07UQrrEcP8qF8x9R/m11nrhP8bKD78HiAC9jucZyP3wVsGUJJDD/LeAIO9MTb7W97xX0ZeekP9xTeIAYBRwAcB5R6H/dCmwCcM8XKVM2Fk/NWquKvh/Cnevp85Gr8BFcbSiV1gulnwPoaAomIdwNqErugmGpq8yTt05FZCQKhdTbJ9D4iYm9cwP1XWo8FLFNf3VlpqQdnpS5xMjnAsBJ7uvfpoZ+0aBwOKuoAU+5mcjztZ95V3jKm1mLIvIJwDLLmRmeMN991zv6B6RnOfGm2bcRYb2mcyi8pfUvhhPHNrye1M2DaUzJar/0K/bcmYhOiO37EeZPLGw5CQmi85idacV17liEOKJF5o6YCf0iQAdfxuw7Utjx3N3Qm+HIN5Nc8y7muril0RZpe5Enb07LSCjHZh09EHkJSGsvHW6RmJyJTdezqrXKVdexSGTfuT7wUJElIRy3Ok/cIz4DXO/EdKQv5SDpl0jjwWJrK48HEbFjXyRk7R113/vMrvZHZLLRV/Z5X1PBE84qG5OnZq1VRd4PD2XzsrJ85InQkncvho/A9VnsZfozXbNaj3w6y5wU9wGrA5SBwG+Ag4AqZByMXhPBMG8Gi8gQoxAPN7zN6Q7w4LkhMAZ4GngRCJHVEiVyWUTo1AxNCl6Xw8DsRFfGjdF/Amsk6a344OfgVYyG74fwVIBOQm+ACxFva/h1NERWhNISADcG83bcV3YrZLId3IC4kYpjvz/CfD+2A94BsoTjw3eK4/NqovxbPIlWlWbNnZ+DMPLOubI58HuA7wK/OC4H7AacCIhwPfOJzh0fO/PzisydbKsdNeYiumySxLFNE3Mvk/mYpuuadzHXxadQMd+9siJrQlk7ecp/BGWub+S8D3AUMAgQOQWBPwE8sMbkTOw388l9hWvEx8BBANf3GNLqPF0MEu4AVgC2A8YAcsDi3nUCYK6t1KHPdDpA/ylUWn3vM/v5KCI8iE8B1kky+E7xa1+WZJWNyVMz1qqi74ePt0WRmeUjx/YRfO0plcefz8mNoJzmdi1lsZ6FuWm/B0gfuWjY8gwSxtqJnvgNyKO90R4dX9Y3k/K08VWfopXHyc4yD1npMaI80NBpSQOdXNbNjSZNh+m3AHnkWCjTLvEuYDtWeyKNdfNnDiGyIZRoK/QgzL/P4ibMg9kAYBOA74O0ic/7AR7Os+QBKFB/xyzFAvk8bPp457iwbnLl06PjFSrNnjuHoqHmOHyK+EsA+0oHyszbG3Gf6NzxsTM/L+/cMS0KvxyTK8wMK/wo4jJuw6w8M8o80XvMzHCEq5x3juqalhTKsa+BdGIOBd4HhF+ugTGlGWuV3X72k+3gWrGHnemJx+DYY75DVh14YoPagLsBeR+eR1iEh3ReEnDe8hLTFt+XLVu3aLwuPLH9/YDPAXL1ApBHypTNU08jdat6P0J9ZK5l8t7yWcZHeMCwxYspr9A5ChU6lHsBE4AuSaHj8LwpCbse1LsMuAfg7UgrCAdtaaOhdxphCa6EwHUSCXh+kOh0D9B1qcjiPwWZXMhCRQ4cnOyxhe/O8gFGuYn59EyuA8zNuy0SvYkIfCGR5MmxuQOYa6WnRfOMDSfURQD7fgTwMEDZGBgP7MMIhF9WDgHOZ8QjVY5PT9Tr412axS+CRJqE/JRGyjZ77vwGDfkb8H2Ah2BywMPWrQBvFCcB0tf7EPZJlWPD9ydkbDrT3PFx7ct708jkRp0mZt7raUpJepVjm1F1y2XTIeG8agN+BFDWm/+I9m8z1iq78acggV+/6dNcY2fWJF4HnkjFNIBczQa4P6wF8GBFx/VcoDdwNrAdYEt/I4GXlVzjKI8DWfN2nmLAP3XhiU19EngOWB+gb5JHypTNU08jdat6P0J95Jg+Qi7euOnbMhoJ7QAH2hY6t+OAHycZdK442dI+tx+PvP2BPAcEqDdVhhi1z0TY5oEHyDMc6UaxBYKvJSkrLJCTncDFaGiidl22egcNqU/q75BZMsKbqxEA+XDJzkjcCfgEONKlkKTlWWCXRJmtDFsTjLAEn0DgEYkEPGckOrTdDWB70+RMZNBR4/tubsgfIr4fQJED1/cQPn9eSvo/VY7PyajWbKPdit8mCdfieZedacSfM8JZwTrMHY7/IY6GcjzkoEWd6Q4dM6nKsVkY547JbZ6wuXaZByrbhpnHddsnVY6tr95WzvszGi+HreUid+Rk2Gv0WmV24QBETgLo25xuZtQsfDLa00yeTDreR2QysC3AX5fwgDMb2BCgnDX/4f33Z0Yux+ByI14meDIK14Un9oP+CA9bcxjJKWXK5qyqIepVvB95fWTu/zF8hNKE/R0WvuOxsiryeNslSDutb2zonOax58q6HomcuGXxLZfxjLSHkC99uzRDNzR7VGJzfGgBQ2/zpCzbtI6RHhLkYZflzg5RjqwzMql7VkS7OyY2ZXzWiGT7rcQu322f0Ilj3VNSlNqSfOrwAJYlH0OBustkKVaQz0Mu6x4d0Xbd5o50bWkE+BMO9vdT4BtAlujcyWJofn7o3LGtbY8EjgdxhZ1pxHdPdKh3g5FuB7lniD1e8Pmk6nm3GSovu3ex/ARfJwLyQjkOMPXl37WS4yNDCkTUqWKtkubtigAvzy6UhJzPmBznrHoB9Sp5WqAyJPwE4PvwjpH5CMJfeMCfaco85VN05bISSZVLo3n6HXrEvj5QoGdlyoZU1+i1qor3Y/OEX3Kc10cWjpZGIK+PwPGUd7mPGEp7drUyeEJkY30NpsPJW42ewHvA24AtPZDADfRM4Bg7MyBO2yE/s8kytXiWgpXfC3HTEbvTyi8afS0pmOXMu+zL51Gexvky5JFVEmWpP0/ZOuoOMRrFLy6vGPEyQfKzIsDx4fudJnJ7bm4upu40RJ4G1ge4qfiEt8PdgA8AzqNWlzrOHeH0YgT6JJGT8OSCnyU6d7IYmp8fOnfCrC2odTuSeHGxJLA1wD2KG5wpTNs2SfgIT9+hrBHzrivaEGP/ogNQF+HaJ79i4F7UGYSXsVcBVwOHp3SI7wt9mDEp+Qtz8gpJ5833wfSfXNyMQuIFSQb387IXCq466pa2YdKgmwo0rEzZkOoavVZV8X6U8ZGFoyI+gpQNepJoU3ojwoPSLsDpZoYRplPFwxDlUcDe+Jh+FsBJRHChyivjUOCavIUc+g870nxJg5EpGwr7dbdPOUfes4nuFnjSfpYjLqbpRAxNItdJYo7nNonuYznK1FmVt4giMRfpZ2C0P0BnLu2rFeu9HxgE9GUkRaYjnYctGfMUtS//P12dZWzqNneE96MRkDl0D8Jp65roy1PnjjDhf4bOHdsK17YQmQul24DvAnTuNgDsObMR0uRwcyPCHwBp0ohxfQqVj0xrQI70V3PoulRDOXaVtdN2TBL+jme7ndmCcd6G3wRwHzkQcO3JvKy9DOABPk1icpxWRx3TyQ3XfMo58x/6r4OBrZC2CfAZQIc+j5QpG1pPXdaq0Pbaepx/sr8X8ZFpr6iPUGrufxsV85BB7A245Fwkio500tTbGREOYHeAk5G6pwGtIBPRSOkb+xBTHoQx2h6Qwyg/8Up7+uUoR9VeADeQGYAcIBFsmNDZYNtnRaqRByHhgs89ItmlmR0A2ryFEY8cjzxpA50/W8j5OwB1+BMLn/wKmdQ71KdUYd7rSf2xfkZYt7mzJPo3Pukjef4LwPEJEZ07ISzN1wmdO7bFYUiQuXStnWnF10F8dqJ/q5XH6B1J3hw8s9bJZs87trdRMgwVhXDMQ+xFwOUA9xxbVkTCa8DnAH2ERkvstYoHdlmn+WXrMgduRpq8c7xgS5NhyAjhOK18zPSYPO2JhvHi4gRA/oMyZlt/jAj73W4mBoRHQUf4ksNaQLGoKrF46oZW3Q3MBPg1vQ9gCucVL4bY3++bGQiXKWuZ6lTRvO9HGR+5jI9A0qcB8i5n7TvU7yCHIyaFubCeCHChpawMnAfQgacOF2ZbqMNFuX+S0UqHrV3QZuk7n5yQ7E8skZfouBwGz4Au28KfzOUVHkZY9vS8BSPpj0zqnxXB3tKwMSmxxz4RY4BSNwsoL7IYAlww3wO6SqLjuQTS6Oyxfm7EuwMiqyNAh555UwDq+uQpZH4CLO9TqjCP7zfbOjpCHXWaOxw/fgF9HmD/5gKnARzjUNG5E8rUfF5D5o5pcS1ExAnhGL0N9DUVHOFtkcb5Qv1jgW4J5ALkY8QHAlnS7HmX1b5Y+Xk4PhiVkleC+/sfAf58aVVgKPAqQH7N9Q7RhknMtWpdtPoNQPqb9XwRumn7TB6OG0FWTJ6mGxxx/IcBqwD07X4NkDfudz2BPCJ+EMsPzlMwom4snjZAm8z3h3vNCUBfgHuI7EE/RNiWMmVtW50pnvf9KOIjl/UR6EscBZhjfybii+cZCN76vQKcDzwOiLF/GOEPEP4BwAptuQ0J3PxEOJlog85OnUUmhfRXnl+g0dycY8hyMMINi3W5uHPVMQ2JbMvPXJkZaXcnZTmpmyEjUSnbXvawtRdsfJrYknGR53tI3xuIIb+AEdo9IMNYN+RfAHwIUJ+36dyQPwc4vjzccqx9shUyWfZ6n1LFebE2nLrMHb7nFwF838jtawDXs95AXrkbBWhD504Yc6FzZzWYmw7QoSe/Jpg2FeC6kSa7IYP7E8u9m4Bhpu0CZEkd5l1WG8vmF+F4aVTKcTHHg2GOyUsAnevVgWZJrLWK7b8LsPvpi5v+jPS/CMdStspnTJ6OTuGJvuB9AH/ZkXYIRVaqDEeO8L1Nqla1GTF5ugRN5TyRPsmTadcDA4A0KVM2zWarp+d9P6ahw+Q8xEfmfl7WRxgHGzwDyTibT/qjTwJBshO0vm5oronwwcCpwLHAEGAFwCWHI/FeoIuR2SqHLaPJlQbp/HFwhgXWsjX0iDTO08xsiwzWc3WaQgPSRyRtKHvYakBT51XRhn85WV4EePORJctCYRBwELAfsBmwDBAik6DEg1n/EOWKdGbALt+R0RXZj202a+5w7TobGA6Q1yKOAIrN+w8t6NwhE+HSBtU8cyfc8oKavD3cEjgwwVZ4hsxXqM37Ot7secd21FG6o1Hc3zl/yO0mwJJAHaTV1qpmcRabp77oyJ7AocCOwBpA0XUVRWsjsXmin7wz8D1gL2BzYEUgRMqUDbHf2XXy+MixfISmc/oyWsCfVvGmWyCf6yX9pKa3srkN6IbqHwJeApaosCn3wjYPDbyxbJb0QMVbAJs2qwEF6uXPZOhoH1KgbGiRbyV18HKimcKNlOPDn4a0gujcqfcoNWLulGGgLvOuTB8W1rKttlY1a5yUpzDmlacwnlSrpgych3ZdaeF+xOm8Ppek74/nwi5tIICHz8srIoIH2k+AARXZ7+xmz0QH3wc2qqCjq8Lmq8C1FdheGEy2oZM6d+o70lXOnTK91nlXhj0tqwwoA8qAMlBrBvRnhO7h2QHJ/E3vKe7swqn7oiQPt63y07DCHa2wIH+S9FeAPzVYPWI9S8HWIwC/aob+3DBi9Z3GlM6d+g5lVXOnTI913pVhT8sqA8qAMqAM1J4BPWylD9EwZPEL1B7pKrly+HcM/HuEsblKqbKLgV5InAw8BizmUiiQdivKPA/0KVBWi3RkYBiiOnc6clKXWBVzp0zfdN6VYU/LKgPKgDKgDNSeAfmd/Mm1b2lzGtgP1cb6jyTI75Cb05POVyv/pm4o0CVS1/g3Lc38G7pI3aiNGZ07tRmKBRoSe+4sUEGOBJ13OchSVWVAGVAGlAFlQBlQBpQBZUAZUAaUAWVAGVAGlAFlQBlQBpQBZUAZUAaUAWVAGVAGlAFlQBlQBpQBZUAZUAaUAWVAGVAGlAFlQBlQBpQBZUAZUAaUAWVAGVAGlAFlQBlQBpQBZUAZUAaUAWVAGVAGlAFlQBlQBpQBZUAZUAaUAWVAGVAGlAFlQBlQBpQBZUAZUAaUAWVAGVAGlAFlQBlQBpQBZUAZUAaUAWVAGVAGlAFlQBlQBpQBZUAZUAaUAWVAGVg4GPgXcqPgLIzE3SMAAAAASUVORK5CYII=\" width=\"429.5\" height=\"21\" style=\"width: 429.5px; height: 21px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSince, Fibonacci number squares grows very fast, please present your answer as a row vector of 3 elements. The first element is the first 4 digits of the sum, the second element is the last 4 digits of the sum, and last element is the number of digits of the sum.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eTherefore, for the 4th row, your program output should be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAM0AAAAmCAYAAABnPx8oAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAzaADAAQAAAABAAAAJgAAAAD4EainAAAKEUlEQVR4Ae2cC9BVVRXHUcjQpMikTBIyiRgLMtO0UBJqSEcdtcgpDQVfNY72nCZKJ22G6KGMaTbBQE4k2kPJamzCcjSSyAYnTUnLHjAo2sOykPJBYr8fnF179nfOuefe796Pc/Osmf+3915r7X3WXvux9t6XYdiwhhoPNB5oPNB4oPFA44HGA40HauSBXQpsORj+1wtk18L/VIGsYTce6DcPLMHgaQVGz4C/KZWNSBlZeXfSieAO8MeMF5K/h0yTNh74P/DAr+jDPkk/xlOeDFwHA6go0kxFczU4CXxnQK1qjL1R+zz4A5ifU2U0vFfm8ItYdyN4MhFqv1HxcDAFrAdrwFrwOKhKu6J4ChgJllatNER6Z/KdI8GlYF3ON18Nb48cfh7rrzAdj5QcK8f8MDAK3A70o/5sh16O8vvBAvAIqAu1moupne+FsQg4P3+XCovKOvAZcGKRQgW+i802dH4efQGm8qoYlzQyhvLKrP5dpCvAn7Lyg6SHglbkYnkXuA9ox3JQJ7IPW4G2zcwx7MXw3Eiq+vCqnDbcLB4Dm8F3wc/Av4FtfgmMAK1oPxQWg6eA9SaAOlGruZja6qJpux+DXTRnZx/1w3mLxrD3aKSjXhnuRx7TvhRcGNZZCELENPUuJt9I8w6QR+opuwfE363TonkettnvYF/eopkXyYNeWXoq+jFdREF9j+ATI8Eh5P8JlP0YFEWysciuBOnCrdOiaTUXMX8AlS6aEQPUB88wpF3Wohl399HAO9M1wGODA5TSl2HsCb6dCD5H2QFzh7wYhLqmc8BBYBKw/k1gC4jpGAqzge2cDI4HdSN9qC+LyCh5DnBzWALyjq+whx0BnARGgRtBIP1zQVbQT/HG5LicC74K3gzOB/oqpStg3AvOAkaxXswnmu2YqszFjhtPK06F4QQ8MRW0KOu0n4P14AlgG2tASur8EOyWCqLyGPLhmOAxJZB3mG3Atq8OzCT9ZCZX58JElhZnRbrLU+FOKp+Q2fTryLaZiS3HUNY/b034afFyGPrh+4nAo5h8cUAis7g7CNHGTe35MktoHbLQ3oQSvaESVZ2LefaURhp3q27SRTR2CDgNeEbOo5Ewt4DTgbtfEfkIMRxsBF7sAx1FJhzHfhuYSeoZNtCHQqYg1ZY60T4YsxS4qXyxxLB9kenvm0t09NOsTL4i0TsqK7vwNmT5ODGCGaWlvcAcMyVUNz9WmYsl3SkWdXPRGJ0+Dnwxu634k9sj0FuQP1yio+idmTw9mvlaFGhTyCTpfVHZAXeC9Qt5zHFc5oJnSoz+CrJPl8gVvQnYdxeGkSWQF/cQObzPPB0ESerRK9BrQqYP0qpzsaOudGvRjOLrV4O7gUejwdIYGpieNZLukHHof0HBh7bCjyOdZ9t+oPMw0mOXx4OHumBw2HhW0ZZHrEBVfKhuXKdffNjtuRh89t+0W4vmSlp8KXgPcMIOlrxLDQfugumdKB5Id8wieiQS9MOAH4i9Rumvgesj2zvNlh3NYh86yYo2n37zob7q9lwc4P9uLBp3M+8wHwNxOB/wsTYYYYe8gTrbknrro/Kx5J0ceeTLWiCfb+tMPohcA/4Mzu+SoW+knbFA/+nHmGIfyj8uFkb5fvKhZvdiLkbu2JEd7KJ5Gc0sBj8CZZfWHV+r9ndv1IqOZrYQX/KNIB5nUtoDxgERc2OUr2N2PkZNAbNBfKwcjK1h4zFSG7FjcjHcEjHOI29kT2lyxKi7D3sxF6Pu/y87mEXjDr8MeFmdk6UkgyaPZj4XeoRYldPabfBEoGvJTMsK2uRArwB7ZjyTn0b5umWnY9BHwCUg7tdg7NQPs7IG9EUefQZmeGg4nPwyECLyC8mfAS4AgVaHTA1T+6v93Z6LbXV1amaAE7iIHGiNDDtaqudRQ3l6J0n10vJNWb2rUkFUNhrdk+n5DfEQeDTLu+AC/zfky+hohEF3eZliD2SjadMd/E6wW07758ILts3MkRexPJqFeuOKlOC/L9JT/ynwe7ANhN/ZQjvvhldGtyMMuhPKFHsg6/Zc9CHGvuT2Y0SHHZhEvQXACelx4m0gpVEZw4kR5P8iX7abvgj5jKxe0Q6p2AvqoeA04GA6Mf4B/DHwJ2A8mAek1TuSWv69HKt8zLgMTM+x8HUR7/Xk3VElXykf3p7L/xM2sjsQuyiLaBECo/AHgP50zFw0NwLvWLcCj7pSXf3Yq7m4o9dt/G0VaYxAYVdpJ3VAyuhMhLbnAsjbecvqBtlwMg+AYNfbg6AgPTrSXV6g0yv2XdG3g71V0tklBrmwXCi2EzaOEvVC0TlZG7bjIm1FOyvS9GIu9iTS6EhDeBntGgmD7tMRLy8bdkh3Oo8KnZAd9lIoGa3SH0e3C2ryR78E3+SZ5AII0UV50NX/RXQYgv0yYVm0Lqov3x8+P5opbCWdk+XrmPRqLrbd11aRpkqD7d5pPJo5QDqhVXQo+r5HmCeyNjaR7lWkGPF3ZqSJzMjNdnKnWUhL+rBKdMj9KMzrsjZsx58SqtDOijRVbGt3LpZGmjgaVPl4L3VOoHHvWN57VnbwIRedg/1c4GCfDv4GWlG8k7fSfQ4KxwFfpsJLU6s6Qym3L9omdRplPkzd0MYq8pfYWAVqx4/7095c8NoK7dZOxUlaFwpHsx9gkAunHZqB8jLgsexx4Hn8ZlCFXhIpjYzyeVkn4vGZ4Bek08HmrFyH5A0YMS4zpN1F4ybgg8TZWf1bSU8G4UiYsQuTqn70NLAW7AI8rnuPdez6nob6eOYxyjuMEaLV02bs3LEUFgIH1rp3goNAVXoFir8E1hV/Aa8CeWRUDjYGfSdVL6nd49mlGKNtvmpWJTdOj6j3A+u66cwHPqhUIfU+CIJPTB0To3IeXQgz1r03T6nLvK4ez4ps68ai2Zg555aij0T8uZmu95FREb8o6xFiDXCxeA/yGy42d68q5GJ7AITFFg+ivPXAc21K18GIdS9OFbpcPiP63rQKbW/I9BdU0J2CzlLg8719ehBcAcIjAtmW9Fk0toDYJyHvC+i6nBYOh/dYVMdo44bUS2pnLmpH6Z2myNBuLJqitvP442EeCQ7OE+bwFsObB44FRqmhpIl87FTg5DhlKD9c4Vv6UHi/a0XezTyOuTD9PajqhoPqoGk0LRwIfDwwwtWN+mLR1M1prexZhIJHOZ9mG+rMA26UT4JPdFa9p7VKF02vw2JPe7YTGtdf7s6zgRfYzaCh9j0wmSqrwSqgP/uKmkXT3nCdhfpJwOPr99qr2mhHHlhJ/lvAf6Huw0Nf0YgW1s5BfkSis5byNxPes6X4DTp6Pajy+8+zxSed9NNNZ0MnFXtQx41wUtJulUeXpMqO/xwjvIKk6ZIB2g2j8UD/euAGTE/neCjv37/daixvPNB4oPFA44HGA40HGg80Hmg80Hig8UDjgcYDjQcaDzQeaDywMzzwH268nN22z2DtAAAAAElFTkSuQmCC\" width=\"102.5\" height=\"19\" style=\"width: 102.5px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = sumFST(n)\r\n    s = [4791 4791 4];\r\nend","test_suite":"%%\r\nn = 4:8;\r\ns_correct = {[4791 4791 4] [5971 7175 6] [1932 2536 9] [1632 8113 12] [3605 8865 15]};\r\nassert(isequal(arrayfun(@(i) sumFST(i),n,'uni',0),s_correct))\r\n%%\r\nn = 10;\r\ns_correct = [3152 5555 23];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 50;\r\ns_correct = [2682 1525 533];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 100;\r\ns_correct = [1928 7575 2111];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 500;\r\ns_correct = [8201 1625 52351];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 600:100:1000;\r\ns_correct = 742673;\r\nassert(isequal(sum(arrayfun(@(i) sum(sumFST(i)),n)),s_correct))\r\n%%\r\nn = 100:10:1000;\r\ns_correct = 7865124;\r\nassert(isequal(sum(arrayfun(@(i) sum(sumFST(i)),n)),s_correct))\r\n%%\r\nn = 1234;\r\ns_correct = [3836 6419 318495];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 123456;\r\ns_correct = [1647 8064 3185286664];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nn = 1000000;\r\ns_correct = [1345 9375 208987849238];\r\nassert(isequal(sumFST(n),s_correct))\r\n%%\r\nfiletext = fileread('sumFST.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":2,"created_by":255988,"edited_by":255988,"edited_at":"2022-11-17T19:00:29.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-04T19:35:14.000Z","updated_at":"2026-03-23T18:26:25.000Z","published_at":"2022-11-08T12:04:31.000Z","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\u003eWe shall call the following arrangement of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, as the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci Square Triangle\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(1)^2\\\\\\\\F(2)^2,\\\\ F(3)^2\\\\\\\\F(4)^2,\\\\ F(5)^2,\\\\ F(6)^2\\\\\\\\F(7)^2,\\\\ F(8)^2,\\\\ F(9)^\\\\ F(10)^2\\\\\\\\F(11)^2,\\\\ F(12)^2,\\\\ F(13)^2,\\\\ F(14)^2,\\\\ F(15)^2\\\\\\\\F(16)^2,\\\\ F(17)^2,\\\\ F(18)^2,\\\\ F(19)^2,\\\\ F(20)^2,\\\\ F(21)^2\\\\\\\\....\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003ewhere: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(1)=F(2)=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(i)=F(i-1)+F(i-2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ei\u0026gt;2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWe can see from the above list, that the first row contains the square of the first Fibonacci number (i.e. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(1)^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e), the 2nd row contains the squares of the next 2 Fibonacci numbers, the 3rd  contains the next 3, the 4th contains the next 4, and so on.\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\u003eIn this problem, we are required to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efind the sum of the n-th row of the Fibonacci Square Triangle\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. For example for the 4th row, the sum 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS_4 = F(7)^2+F(8)^2+F(9)^2+F(10)^2=13^2+21^2+34^2+55^2=4791\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003eSince, Fibonacci number squares grows very fast, please present your answer as a row vector of 3 elements. The first element is the first 4 digits of the sum, the second element is the last 4 digits of the sum, and last element is the number of digits 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTherefore, for the 4th row, your program output should be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[4791,\\\\  4791,\\\\ 4]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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":42340,"title":"Fibonacci Decomposition","description":"Every positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, return these numbers. \r\n\r\nReturn the vector f = [f1, f2, ...] sorted from smallest to largest. sum(f) = n.\r\n\r\nExamples\r\n\r\n n = 3\r\n f = 3\r\n\r\n n = 32\r\n f = [3 8 21]\r\n\r\nReference: \u003chttp://www.johndcook.com/blog/2015/05/17/fibonacci-number-system/\u003e","description_html":"\u003cp\u003eEvery positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, return these numbers.\u003c/p\u003e\u003cp\u003eReturn the vector f = [f1, f2, ...] sorted from smallest to largest. sum(f) = n.\u003c/p\u003e\u003cp\u003eExamples\u003c/p\u003e\u003cpre\u003e n = 3\r\n f = 3\u003c/pre\u003e\u003cpre\u003e n = 32\r\n f = [3 8 21]\u003c/pre\u003e\u003cp\u003eReference: \u003ca href = \"http://www.johndcook.com/blog/2015/05/17/fibonacci-number-system/\"\u003ehttp://www.johndcook.com/blog/2015/05/17/fibonacci-number-system/\u003c/a\u003e\u003c/p\u003e","function_template":"function f = fib_decomposition(n)\r\n  f = 1;\r\nend","test_suite":"%%\r\nn = 1;\r\nf_correct = 1;\r\nassert(isequal(fib_decomposition(n),f_correct))\r\n\r\n%%\r\nn = 4;\r\nf_correct = [1 3];\r\nassert(isequal(fib_decomposition(n),f_correct))\r\n\r\n%%\r\nn = 6;\r\nf_correct = [1 5];\r\nassert(isequal(fib_decomposition(n),f_correct))\r\n\r\n%%\r\nn = 2010;\r\nf_correct = [2 34 377 1597];\r\nassert(isequal(fib_decomposition(n),f_correct))\r\n\r\n%%\r\nn = 35601;\r\nf_correct = [1 34 144 6765 28657];\r\nassert(isequal(fib_decomposition(n),f_correct))\r\n\r\n%%\r\nn = 9227467;\r\nf_correct = [2 9227465];\r\nassert(isequal(fib_decomposition(n),f_correct))\r\n\r\n%%\r\nn = 2015;\r\nf_correct = [2 5 34 377 1597];\r\nassert(isequal(fib_decomposition(n),f_correct))\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":16,"comments_count":2,"created_by":7,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":925,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2015-05-28T16:03:19.000Z","updated_at":"2026-03-31T16:36:14.000Z","published_at":"2015-05-28T16:04:31.000Z","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\u003eEvery positive integer has a unique decomposition into nonconsecutive Fibonacci numbers f1+f2+ ... Given a positive integer n, return these numbers.\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\u003eReturn the vector f = [f1, f2, ...] sorted from smallest to largest. sum(f) = 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\u003eExamples\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[ n = 3\\n f = 3\\n\\n n = 32\\n f = [3 8 21]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eReference:\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://www.johndcook.com/blog/2015/05/17/fibonacci-number-system/\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttp://www.johndcook.com/blog/2015/05/17/fibonacci-number-system/\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":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":771,"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":"2026-03-31T16:38:37.000Z","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\"}]}"},{"id":52968,"title":"Easy Sequences 43: Least Common Fibonacci Number","description":"The Fibonacci sequence  is a series whose elements are numbers starting with  and , and subsequent Fibonacci numbers are defined recursively: . The first 20 Fibonacci numbers are:\r\n                            \r\nGiven two indices  and , write a program to return the least common Fibonacci number, , which is defined as the smallest Fibonacci number divisible by both  and . For example,, which is , since  and  both divide .\r\nSince. the value of  may become large even if the values of  and  are relatively small, please output a vector containing the number of digits and the last  digits of . Therefore, in the example above the output of , which has  digits, should be .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; 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=\"block-size: 216px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eThe Fibonacci sequence \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003eF\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; \"\u003e\u003cspan style=\"\"\u003e is a series whose elements are numbers starting with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43.5\" height=\"20\" style=\"width: 43.5px; height: 20px;\"\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; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43.5\" height=\"20\" style=\"width: 43.5px; height: 20px;\"\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; \"\u003e\u003cspan style=\"\"\u003e, and subsequent \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci numbers\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; \"\u003e\u003cspan style=\"\"\u003e are defined recursively: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"107\" height=\"20\" style=\"width: 107px; height: 20px;\"\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; \"\u003e\u003cspan style=\"\"\u003e. The first 20 Fibonacci numbers are:\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; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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\" width=\"519.5\" height=\"19\" style=\"width: 519.5px; height: 19px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; 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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven two indices \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003en\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003em\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, write a program to return the least common Fibonacci number, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"69\" height=\"19\" style=\"width: 69px; height: 19px;\"\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, which is defined as the smallest Fibonacci number divisible by both \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"19.5\" height=\"20\" style=\"width: 19.5px; height: 20px;\"\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e.\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; \"\u003e\u003cspan style=\"\"\u003e For example,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"43.5\" height=\"20\" style=\"width: 43.5px; height: 20px;\"\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; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43.5\" height=\"20\" style=\"width: 43.5px; height: 20px;\"\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; \"\u003e\u003cspan style=\"\"\u003e both divide \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eSince. the value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e may become large even if the values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003en\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; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003em\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; \"\u003e\u003cspan style=\"\"\u003e are relatively small, please output a vector containing the number of digits and the last \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);\"\u003e6\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; \"\u003e\u003cspan style=\"\"\u003e digits of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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; \"\u003e\u003cspan style=\"\"\u003e. Therefore, in the example above the output of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"65.5\" height=\"19\" style=\"width: 65.5px; height: 19px;\"\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; \"\u003e\u003cspan style=\"\"\u003e, which has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);\"\u003e4\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; \"\u003e\u003cspan style=\"\"\u003e digits, should be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"58\" height=\"19\" style=\"width: 58px; height: 19px;\"\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; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = LCF(n,m)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 3; m = 4;\r\ny_correct = [4 6765];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = 31; m = 61;\r\ny_correct = [207 308229];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = 123; m = 456;\r\ny_correct = [11843 575091];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = 999; m = 99999;\r\ny_correct = [20899 746875];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = 98765; m = 43210;\r\ny_correct = [891912775 944568];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nn = double(intmax); m = 12345;\r\ny_correct = [2770427214858 134203];\r\nassert(isequal(LCF(n,m),y_correct))\r\n%%\r\nns = floor(double(intmax)./(1:100));\r\nys = arrayfun(@(i) log10(sum(LCF(ns(i-1),i))),2:101);\r\nss = round([sum(ys) mean(ys) median(ys) mode(ys) std(ys)],4);\r\nss_correct = [842.8233 8.4282 8.6618 7.1199 0.3808];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('LCF.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-10-21T07:09:35.000Z","updated_at":"2026-01-31T13:37:33.000Z","published_at":"2021-10-21T11:42:51.000Z","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\u003eThe Fibonacci sequence \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is a series whose elements are numbers starting with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{1} =1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{2} =2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and subsequent \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e are defined recursively: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{n} =F_{n-1}+F_{n-2} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The first 20 Fibonacci numbers are:\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\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{1, \\t2, \\t3, \\t5, \\t8, \\t13, \\t21, \\t34, \\t55, \\t89, \\t144, \\t233, \\t377, \\t610, \\t987, \\t1597, \\t2584, \\t4181, \\t6765, 10946\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven two indices \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, write a program to return the least common Fibonacci number, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eLCF(n,m)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, which is defined as the smallest Fibonacci number divisible by both \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{n}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{m}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e For example,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eLCF(3,4)=6765\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, which is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{19}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, since \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{3}=3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{4}=5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e both divide \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6765\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSince. the value of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eLCF\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e may become large even if the values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are relatively small, please output a vector containing the number of digits and the last \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e digits of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eLCF\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Therefore, in the example above the output of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eLCF(3,4)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, which has \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e digits, should be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[4\\\\  6765]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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":56220,"title":"Easy Sequences 75:  Easy as Pisano Pi","description":"Pisano period , of an integer , is the period in which the sequence of Fibonacci numbers modulo  repeats. For example it is not hard to show that ,  and  are ,  and , respectively:\r\n            \r\nI have used Pisano period in the solutions of Problem 56050. Easy Sequences 73: Emergence of Fibonacci Insects and Problem 56065. Easy Sequences 74: Fibonacci Bank Account.\r\nIn this problem, we are asked to simply output the Pisano period of given integer .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.45px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 12.6px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 327.95px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 163.975px; transform-origin: 407px 163.975px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 37.8px; 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 18.9px; text-align: left; transform-origin: 384px 18.9px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Pisano_period\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003ePisano period\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: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 28px; height: 16px;\" width=\"28\" height=\"16\"\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: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 44.5px 7px; transform-origin: 44.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e of an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 4px 7px; transform-origin: 4px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \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: 123px 7px; transform-origin: 123px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eis the period in which the sequence of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFibonacci numbers \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: 26px 7px; transform-origin: 26px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003emodulo \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 29.5px 7px; transform-origin: 29.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e repeats. \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: 11.5px 7px; transform-origin: 11.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example it is not hard to show that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 28px; height: 16px;\" width=\"28\" height=\"16\"\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: 4px 7px; transform-origin: 4px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 28px; height: 16px;\" width=\"28\" height=\"16\"\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: 14.5px 7px; transform-origin: 14.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADgAAAAgCAYAAABHA7voAAADBElEQVRYR+2Xu2sVURDGkz/AwkcbEB+FhRhQOy20iJJe0c4ixMTCRlHRdCailhYSrdJoFK0lSRGLSMAXKBYWPgprRfwP/H5hJxw35+yZDbsLXu7Cx929O2fOfPM6s4MDPX4N9ji/gT7B/z3CXUXwgBx1WrjRgMNGpWNIeODR1QVByJ0XLngMKmRYs0V4lVhzRv/v9zisbYK7ZMRT4aTwy0kQci+Fb8LhijUzevdJeFKlt22CC9p8LmdEYOB23bPmkPAuQxDZ18KI8D1Fsk2CRwpye5yRQ4yoXC/kcwRNfqtukunfJkFShzTzNhaaxz3hoXDHEUEIks4fhB1CtATaIkj6/BSOCqlGEQYW+S/CMeFEDYLo+CpMCdFazBFk432ZFIsRID1XhJx+U03dLQt3hSs1CbKWGoymacoAiN0UJjPk6JC07PKFkeOCp/44QsYE65h1CSJ/XKBTb7hiBK2TLUn6oEDK3BL+FEZv0+/tQtOqfmMRrNw0sCJWQ5sheE06sctFEI8+FyjatwJdikhYnUA8FrVQuYegtfly/WyGIE0pmo1VNWJ1dFWLqQ1IzQtnhcrDVe89BO8XHinXTmcEMYAaHBY+ChQz6eppHDmClpqcdeX2TrbsFn4LbwonTOs31Y3Z65QQnXpSxjJicYYBNrTnVFMJ05N70ny2whkQJK1ilxHk3WIhQBbh5NhFILDP3WRQYhOFpac9T+gdUzzpindTI5JFiEgkx6iEwXVTlD7xTKCMNlzlCOKJy4IdDzYhWHrSTX8IYVtP2Ll2AF8UXqQEGiBoA4WVUZagEUHQosd9+D/PnsgQiZ1Cnc8kdNeJIJl0SUh+dZQjyDyI1+eEsFNazZBupGiqHkIP2rGyV396P5VYj9HnhPdCbo7Nfq14OmLNDPtHnGaDc+pG0bMnxxhnaLS5mIK2CbIPXe6x4Bm6PcSQsWkr+yHdBUGba72pnSOJvkdC1dGxrqMLgrYZtZWbgHLkeE9qfvbWdZcEPcY3LtMn2LhLO1bYj2DHDm98u56P4F97h50hDLjZ7gAAAABJRU5ErkJggg==\" style=\"width: 28px; height: 16px;\" width=\"28\" height=\"16\"\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: 13px 7px; transform-origin: 13px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e3\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: 4px 7px; transform-origin: 4px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e8\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: 14.5px 7px; transform-origin: 14.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e6\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: 40px 7px; transform-origin: 40px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, respectively:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 206.45px; 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 103.225px; text-align: left; transform-origin: 384px 103.225px; 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: 24px 7px; 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data-image-state=\"image-loaded\" width=\"649\" height=\"201\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 37.8px; 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 18.9px; text-align: left; transform-origin: 384px 18.9px; 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: 129px 7px; transform-origin: 129px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eI have used Pisano period in the solutions of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56050-easy-sequences-73-emergence-of-fibonacci-insects\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 56050. Easy Sequences 73: Emergence of Fibonacci Insects\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: 14.5px 7px; transform-origin: 14.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56065-easy-sequences-74-fibonacci-bank-account\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 56065. Easy Sequences 74: Fibonacci Bank Account\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: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 18.9px; 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 9.45px; text-align: left; transform-origin: 384px 9.45px; 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: 258.5px 7px; transform-origin: 258.5px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIn this problem, we are asked to simply output the Pisano period of given integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 2px 7px; transform-origin: 2px 7px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = pisanoPi(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 1:10;\r\np_correct = [1 3 8 6 20 24 16 12 24 60];\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 1234;\r\np_correct = 1236;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = [1111 2222 3333 4444 5555 6666 7777 8888 9999];\r\np_correct = [50 150 200 150 100 600 400 300 600];\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 1000000;\r\np_correct = 1500000;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 19531250;\r\np_correct = 117187500;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 102334155;\r\np_correct = 80;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 123456789;\r\np_correct = 6862416;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 4807526976;\r\np_correct = 96;\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 1000:2000;\r\np = pisanoPi(n);\r\ns = floor([mean(p) mode(p) median(p) std(p)]);\r\ns_correct = [1153 240 768 1124];\r\nassert(isequal(s,s_correct))\r\n%%\r\nfiletext = fileread('pisanoPi.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":255988,"edited_at":"2022-10-06T12:23:49.000Z","deleted_by":null,"deleted_at":null,"solvers_count":11,"test_suite_updated_at":"2022-10-06T10:06:58.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-05T08:50:04.000Z","updated_at":"2026-03-22T12:27:15.000Z","published_at":"2022-10-05T14:00:36.000Z","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:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Pisano_period\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ePisano period\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e of an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eis the period in which the sequence of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emodulo \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e repeats. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eFor example it is not hard to show that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(3)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(4)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, respectively:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"201\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"649\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\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\u003eI have used Pisano period in the solutions of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56050-easy-sequences-73-emergence-of-fibonacci-insects\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 56050. Easy Sequences 73: Emergence of Fibonacci Insects\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56065-easy-sequences-74-fibonacci-bank-account\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 56065. Easy Sequences 74: Fibonacci Bank Account\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\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIn this problem, we are asked to simply output the Pisano period of given integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" 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Recurrence Equations - Generalised Fibonacci-like sequences","description":"This problem is inspired by problems \u003chttp://uk.mathworks.com/matlabcentral/cody/problems/2187-generalized-fibonacci 2187\u003e, \u003chttp://uk.mathworks.com/matlabcentral/cody/problems/3092-return-fibonacci-sequence-do-not-use-loop-and-condition 3092\u003e and \u003chttp://uk.mathworks.com/matlabcentral/cody/?term=tag%3A%22fibonacci%22 other problems\u003e based on Fibonacci sequence.\r\n\r\nI haven't seen here many problems based on other recursive sequences such as \u003chttp://oeis.org/A000032 Lucas numbers\u003e, \u003chttp://oeis.org/A000129 Pell numbers\u003e, \u003chttp://oeis.org/A000931 Padovan sequence\u003e or \u003chttp://oeis.org/A000073 Tribonacci numbers\u003e so this is a problem about them all.\r\n\r\nYour function input will be _N_, _Init_ and _Rules_. _Init_ and _Rules_ represent initial values of sequence and a kernel which denotes recurrence relation:\r\n\r\n    Init  : [ A1 A2 ... Ak]\r\n    Rules : [ Ck ... C2 C1]\r\n  \r\n    function: f(n) = (Ck) * f(n-k) + ... + (C2) * f(n-2) + (C1) * f(n-1)\r\n              and f(1) = A1, f(2) = A2, ..., f(k) = Ak,\r\n\r\n_Init_ and _Rules_ have the same length, _N_ may be a single number or a vector. Your function should return values of _f(N)_. Example:\r\n\r\n   % Fibonacci sequence:      f(1)=f(2)=1, f(n)=f(n-2)+f(n-1)\r\n    \u003e\u003e Init = [1 1];\r\n    \u003e\u003e Rules = [1 1];\r\n    \u003e\u003e N = 1:10;\r\n    \u003e\u003e fibonacci = recurrence_seq(N,Init,Rules),\r\n    fibonacci = \r\n        1   1   2   3   5   8  13  21  34  55\r\n   \r\n    \r\n     \r\n\r\nOther info:\r\n\r\n* Different approaches may lead to solutions which won't be able to compute _f(n)_ for _n_ being equal 0 or negative integer. If your solution doesn't return correct answer for those numbers it will still pass if it returns NaNs for _n\u003c1_.\r\n* Please, try to avoid unnecessary things like strings, _ans_, etc. ","description_html":"\u003cp\u003eThis problem is inspired by problems \u003ca href = \"http://uk.mathworks.com/matlabcentral/cody/problems/2187-generalized-fibonacci\"\u003e2187\u003c/a\u003e, \u003ca href = \"http://uk.mathworks.com/matlabcentral/cody/problems/3092-return-fibonacci-sequence-do-not-use-loop-and-condition\"\u003e3092\u003c/a\u003e and \u003ca href = \"http://uk.mathworks.com/matlabcentral/cody/?term=tag%3A%22fibonacci%22\"\u003eother problems\u003c/a\u003e based on Fibonacci sequence.\u003c/p\u003e\u003cp\u003eI haven't seen here many problems based on other recursive sequences such as \u003ca href = \"http://oeis.org/A000032\"\u003eLucas numbers\u003c/a\u003e, \u003ca href = \"http://oeis.org/A000129\"\u003ePell numbers\u003c/a\u003e, \u003ca href = \"http://oeis.org/A000931\"\u003ePadovan sequence\u003c/a\u003e or \u003ca href = \"http://oeis.org/A000073\"\u003eTribonacci numbers\u003c/a\u003e so this is a problem about them all.\u003c/p\u003e\u003cp\u003eYour function input will be \u003ci\u003eN\u003c/i\u003e, \u003ci\u003eInit\u003c/i\u003e and \u003ci\u003eRules\u003c/i\u003e. \u003ci\u003eInit\u003c/i\u003e and \u003ci\u003eRules\u003c/i\u003e represent initial values of sequence and a kernel which denotes recurrence relation:\u003c/p\u003e\u003cpre\u003e    Init  : [ A1 A2 ... Ak]\r\n    Rules : [ Ck ... C2 C1]\u003c/pre\u003e\u003cpre\u003e    function: f(n) = (Ck) * f(n-k) + ... + (C2) * f(n-2) + (C1) * f(n-1)\r\n              and f(1) = A1, f(2) = A2, ..., f(k) = Ak,\u003c/pre\u003e\u003cp\u003e\u003ci\u003eInit\u003c/i\u003e and \u003ci\u003eRules\u003c/i\u003e have the same length, \u003ci\u003eN\u003c/i\u003e may be a single number or a vector. Your function should return values of \u003ci\u003ef(N)\u003c/i\u003e. Example:\u003c/p\u003e\u003cpre\u003e   % Fibonacci sequence:      f(1)=f(2)=1, f(n)=f(n-2)+f(n-1)\r\n    \u0026gt;\u0026gt; Init = [1 1];\r\n    \u0026gt;\u0026gt; Rules = [1 1];\r\n    \u0026gt;\u0026gt; N = 1:10;\r\n    \u0026gt;\u0026gt; fibonacci = recurrence_seq(N,Init,Rules),\r\n    fibonacci = \r\n        1   1   2   3   5   8  13  21  34  55\u003c/pre\u003e\u003cp\u003eOther info:\u003c/p\u003e\u003cul\u003e\u003cli\u003eDifferent approaches may lead to solutions which won't be able to compute \u003ci\u003ef(n)\u003c/i\u003e for \u003ci\u003en\u003c/i\u003e being equal 0 or negative integer. If your solution doesn't return correct answer for those numbers it will still pass if it returns NaNs for \u003ci\u003en\u0026lt;1\u003c/i\u003e.\u003c/li\u003e\u003cli\u003ePlease, try to avoid unnecessary things like strings, \u003ci\u003eans\u003c/i\u003e, etc.\u003c/li\u003e\u003c/ul\u003e","function_template":"function values = recurrence_seq(N, Init, Rules)\r\n  values = N;\r\n  values(N\u003c1) = NaN;\r\n\r\n\r\n\r\nend","test_suite":"%% Fibonacci\r\nInit = [1,1];\r\nRules = [1,1];\r\nN = 1:10;\r\nvalues_correct = [1 1 2 3 5 8 13 21 34 55];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Fibonacci - shifted\r\nInit = [2,3];\r\nRules = [1,1];\r\nN = 1:10;\r\nvalues_correct = [2, 3, 5, 8, 13, 21, 34, 55, 89, 144];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Fibonacci - negative n\r\nInit = [1,1];\r\nRules = [1,1];\r\nN = -5:5;\r\nvalues_correct = [5, -3, 2, -1, 1, 0, 1, 1, 2, 3, 5];\r\nvalues_accepted = [nan, nan, nan, nan, nan, nan, 1, 1, 2, 3, 5];\r\nvalues = recurrence_seq(N, Init, Rules);\r\nassert(isequal(values,values_correct)||isequaln(values,values_accepted))\r\n%% Lucas numbers\r\nInit = [1,3];\r\nRules = [1,1];\r\nN = 1:10;\r\nvalues_correct = [1, 3, 4, 7, 11, 18, 29, 47, 76, 123];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Padovan sequence\r\nInit = [1, 1, 1];\r\nRules = [1, 1, 0];\r\nN = 4:21;\r\nvalues_correct = [2, 2, 3, 4, 5, 7, 9, 12, 16, 21, 28, 37, 49, 65, 86, 114, 151, 200];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Pell numbers\r\nInit = [0, 1];\r\nRules = [1, 2];\r\nN = 4:3:19;\r\nvalues_correct = [5, 70, 985, 13860, 195025, 2744210];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% 3^n-2^n sequence\r\nInit = [3-2, 9-4];\r\nRules = [-6 5];\r\nN = 1:10;\r\nvalues_correct = [1, 5, 19, 65, 211, 665, 2059, 6305, 19171, 58025];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Perrin sequence\r\nInit = [3, 0, 2];\r\nRules = [1, 1, 0];\r\nN = [28:38, 10:-1:1];\r\nvalues_correct = [1983, 2627, 3480, 4610, 6107, 8090, 10717, 14197, 18807, 24914, 33004, 12, 10, 7, 5, 5, 2, 3, 2, 0, 3];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% \r\nInit = [3, 0, 2]; % Perrin init\r\nRules = [1, 1, 1]; % Tribonacci rules\r\nN = [1:15];\r\nvalues_correct = [3, 0, 2, 5, 7, 14, 26, 47, 87, 160, 294, 541, 995, 1830, 3366];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Tribonacci\r\nInit = [0, 0, 1];\r\nRules = [1, 1, 1];\r\nN = [1:23];\r\nvalues_correct = [0, 0, 1, 1, 2, 4, 7, 13, 24, 44, 81, 149, 274, 504, 927, 1705, 3136, 5768, 10609, 19513, 35890, 66012, 121415];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Tetranacci\r\nInit = [0, 0, 0, 1];\r\nRules = [1, 1, 1, 1];\r\nN = [20:23];\r\nvalues_correct = [20569, 39648, 76424, 147312];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Heptanacci\r\nInit = [0, 0, 0, 0, 0, 0, 1];\r\nRules = [1, 1, 1, 1, 1, 1, 1];\r\nN = [7:15, 19];\r\nvalues_correct = [1, 1, 2, 4, 8, 16, 32, 64, 127, 2000];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%%\r\nInit = [1, -1];\r\nRules = [1, -1];\r\nN = 1:10;\r\nvalues_correct = [1, -1, 2, -3, 5, -8, 13, -21, 34, -55];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%%\r\nInit = [1, -1];\r\nRules = [-1, 1];\r\nN = 1:10;\r\nvalues_correct = [1, -1, -2, -1, 1, 2, 1, -1, -2, -1];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%%\r\nInit = [1, -1];\r\nRules = [1, 1];\r\nN = 1:10;\r\nvalues_correct = [1, -1, 0, -1, -1, -2, -3, -5, -8, -13];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%%\r\nInit = [1, 1];\r\nRules = [2, -1];\r\nN = 1:10;\r\nvalues_correct = ones(1,10);\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%%\r\nInit = [1, 2];\r\nRules = [2, -1];\r\nN = 1:10;\r\nvalues_correct = [1, 2, 0, 4, -4, 12, -20, 44, -84, 172];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% Jacobsthal numbers\r\nInit = [0, 1];\r\nRules = [2, 1];\r\nN = 1:10;\r\nvalues_correct = [0, 1, 1, 3, 5, 11, 21, 43, 85, 171];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%% A028242\r\nInit = [1, 0, 2];\r\nRules = [-1 1 1];\r\nN = 1:20;\r\nvalues_correct = [1, 0, 2, 1, 3, 2, 4, 3, 5, 4, 6, 5, 7, 6, 8, 7, 9, 8, 10, 9];\r\nassert(isequal(recurrence_seq(N, Init, Rules),values_correct))\r\n%%\r\n\r\n","published":true,"deleted":false,"likes_count":18,"comments_count":3,"created_by":14358,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":414,"test_suite_updated_at":"2015-04-02T15:23:44.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2015-04-02T14:52:53.000Z","updated_at":"2026-03-26T04:58:55.000Z","published_at":"2015-04-02T14:54:17.000Z","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\u003eThis problem is inspired by problems\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://uk.mathworks.com/matlabcentral/cody/problems/2187-generalized-fibonacci\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e2187\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\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://uk.mathworks.com/matlabcentral/cody/problems/3092-return-fibonacci-sequence-do-not-use-loop-and-condition\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e3092\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e and\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://uk.mathworks.com/matlabcentral/cody/?term=tag%3A%22fibonacci%22\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eother problems\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e based on Fibonacci sequence.\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\u003eI haven't seen here many problems based on other recursive sequences such as\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://oeis.org/A000032\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eLucas numbers\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\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://oeis.org/A000129\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePell numbers\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\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"http://oeis.org/A000931\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePadovan sequence\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e or\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://oeis.org/A000073\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eTribonacci numbers\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e so this is a problem about them all.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eYour function input will be\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,\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\u003eInit\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\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\u003eRules\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: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\u003eInit\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\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\u003eRules\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e represent initial values of sequence and a kernel which denotes recurrence relation:\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[    Init  : [ A1 A2 ... Ak]\\n    Rules : [ Ck ... C2 C1]\\n\\n    function: f(n) = (Ck) * f(n-k) + ... + (C2) * f(n-2) + (C1) * f(n-1)\\n              and f(1) = A1, f(2) = A2, ..., f(k) = Ak,]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eInit\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e and\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\u003eRules\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e have the same length,\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 may be a single number or a vector. Your function should return values of\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\u003ef(N)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. 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[   % Fibonacci sequence:      f(1)=f(2)=1, f(n)=f(n-2)+f(n-1)\\n    \u003e\u003e Init = [1 1];\\n    \u003e\u003e Rules = [1 1];\\n    \u003e\u003e N = 1:10;\\n    \u003e\u003e fibonacci = recurrence_seq(N,Init,Rules),\\n    fibonacci = \\n        1   1   2   3   5   8  13  21  34  55]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eOther info:\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\u003eDifferent approaches may lead to solutions which won't be able to compute\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\u003ef(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e for\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 being equal 0 or negative integer. If your solution doesn't return correct answer for those numbers it will still pass if it returns NaNs for\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\u0026lt;1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\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\u003ePlease, try to avoid unnecessary things like strings,\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\u003eans\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, etc.\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":56225,"title":"Easy Sequences 76:  Not so easy as Pisano Pi","description":"Pisano period , of an integer , is the period in which the sequence of Fibonacci numbers modulo  repeats. For example it is not hard to show that ,  and  are ,  and , respectively:\r\n            \r\nThis problem is a bit different from the previous Problem 56220. Easy Sequences 75: Easy as Pisano Pi.\r\nIn this problem, aside from , we are given the exponent  and modular base , and we are asked to calculate: \r\n    \u003e\u003e mod(pisanoPi(n^e),m).","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 348px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 174px; transform-origin: 407px 174px; 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: 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\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Pisano_period\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003ePisano period\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"31\" height=\"19\" style=\"width: 31px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e of an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eis the period in which the sequence of \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFibonacci numbers \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003emodulo \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e repeats. \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor example it is not hard to show that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"31\" height=\"19\" style=\"width: 31px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"31\" height=\"19\" style=\"width: 31px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"31\" height=\"19\" style=\"width: 31px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e3\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThis problem is a bit different from the previous \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56220-easy-sequences-75-easy-as-pisano-pi\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eProblem 56220. Easy Sequences 75: Easy as Pisano Pi\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIn this problem, aside from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, we are given the exponent \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ee\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e and modular base \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, and we are asked to calculate: \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10px; transform-origin: 404px 10px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e    \u0026gt;\u0026gt; mod(pisanoPi(n^e),m).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function p = pisanoPi(n,e,m)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 1:10;\r\np_correct = [1 3 8 6 20 24 16 12 24 60];\r\nassert(isequal(pisanoPi(n),p_correct))\r\n%%\r\nn = 1:10; e = 3;\r\np_correct = [1 12 72 96 500 72 784 768 1944 1500];\r\nassert(isequal(pisanoPi(n,e),p_correct))\r\n%%\r\nn = (5:5:100)+1; e = repmat([2,5],1,10); m = 3:3:60;\r\np_correct = [0 4 6 0 12 12 6 16 24 18 12 24 33 28 18 24 30 52 54 50];\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = 1234; e = 100; m = 1000000;\r\np_correct = 954176;\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = [1111 2222 3333 4444 5555 6666 7777 8888 9999];\r\ne = [1111 2222 3333 4444 5555 6666 7777 8888 9999];\r\nm = 1000000;\r\np_correct = [580050 270400 752200 177600 312500 974400 184400 137600 600];\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = 19531250; e = 1000; m = 123456789;\r\np_correct = 35683881;\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = 102334155; e = 2;\r\np_correct = 8186732400;\r\nassert(isequal(pisanoPi(n,e),p_correct))\r\n%%\r\nn = 123456789; e = 123; m = 456789;\r\np_correct = 231084;\r\nassert(isequal(pisanoPi(n,e,m),p_correct))\r\n%%\r\nn = 1000:2000; e = 1000; m = 2000;\r\np = pisanoPi(n,e,m);\r\ns = floor([mean(p) mode(p) median(p) std(p)]);\r\ns_correct = [831 0 830 615];\r\nassert(isequal(s,s_correct))\r\n%%\r\nfiletext = fileread('pisanoPi.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":3,"created_by":255988,"edited_by":255988,"edited_at":"2022-10-06T19:38:45.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-06T08:32:13.000Z","updated_at":"2026-03-23T12:31:39.000Z","published_at":"2022-10-06T19:38:45.000Z","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:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Pisano_period\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ePisano period\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e of an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eis the period in which the sequence of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emodulo \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e repeats. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eFor example it is not hard to show that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(3)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(4)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, respectively:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"201\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"649\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\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\u003eThis problem is a bit different from the previous \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/56220-easy-sequences-75-easy-as-pisano-pi\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eProblem 56220. Easy Sequences 75: Easy as Pisano Pi\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\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIn this problem, aside from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, we are given the exponent \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ee\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e and modular base \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, and we are asked to calculate: \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 mod(pisanoPi(n^e),m).]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.jpeg\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.jpeg\",\"contentType\":\"image/jpeg\",\"content\":\"data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/4REARXhpZgAATU0AKgAAAAgABAE7AAIAAAASAAAISodpAAQAAAABAAAIXJydAAEAAAAkAAAQ1OocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAFJhbW9uIFZpbGxhbWFuZ2NhAAAFkAMAAgAAABQAABCqkAQAAgAAABQAABC+kpEAAgAAAAM1NwAAkpIAAgAAAAM1NwAA6hwABwAACAwAAAieAAAAABzqAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA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Sequences 81:  Fibonacci Radicals","description":"The radical of a positive integer  is defined as the product of the distinct prime numbers dividing . For example, the distinct prime factors of  is , therefore the radical of  is . Similarly, the radicals of ,  and  are ,  and , respectively. The numberis considered to be the radical of itself.\r\nFor a given index , if  is the n-th Fibonacci number ( and  for ), write a function R(n), that calculates the radical of .\r\nFor example, if  then , therefore R(12) = 2 * 3 = 6. \r\nAnd, for , , therefore R(24) = 2 * 3 * 7 * 23 = 966.\r\nSince output can be large, please present R(n) as a string (double quotes) array of digits.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 208px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 104px; transform-origin: 407px 104px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Radical_of_an_integer\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eradical of a positive integer\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is defined as the product of the distinct prime numbers dividing \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. For example, the distinct prime factors of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"18\" style=\"width: 25.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"35.5\" height=\"19\" style=\"width: 35.5px; height: 19px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, therefore the radical of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAkCAYAAAAkcgIJAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAM6ADAAQAAAABAAAAJAAAAAAdzQbKAAACsElEQVRYCe1XO2sWQRTd+EAUfCGIKErUKCqijSDYiJ3/QSzsLP0FNjY2VtpYWPoAX1jEKk0URAUhYhAEiyCiKKiJiqLi45wve4ezy8zO7jdrlblwMnfmnnN2Z3a/nUlR5MgrkFdgwa7A4g4zHwX3NPAE+AbEYgSEo8Bx4BiwFfgEfABikaJt9N6M6kXgJ/AXGANisR6EKYD898AN4GPZf4B2DRCKFG3Is9iEygXgB8CbMsQmsxbcpyV/Au1SgLEMuA/Q5zGwGqhHirbuVenfRO8MwNfkF9B2MpMll6/idkBjJzrfAXrd0kKZp2g9dv6haQy3mcwB4V32WxVXSs5vtKPCSdEObBaJWVP6takotROS35NcUxvntU9KIUUrNvH0ISixJ8Pfhv3Iyd0VsN0jXvw4MFK08w4d/raZzDb42YT5Co0E/DnOunHXIU/RusvwUfcV/PpZfEbCm/UFx79IYQvyFK2z6nMyG51rUcxK7ku1zsmkaJ3/EpelJxvEYk5yX6pPhpvkCiF11Tppn0+G+4dF6PdidV1EHqlStOZZqKkbHDJ5Jzrf7i7lYrl0qPsj/a5aJ/1fk2k6e/HiWn/r7mY+0VqtNOhqvaLtczKv5cqrkPMV1hW3MsdZt3iDRHldtebTum2zz9DsGWD7x/6A+z7hvBROinZg0+cHgIbX5eYOS67pEeno+S1FK5bx9BEotuJjDfTdwrsd4N0Rzg7hpGjFJp7OgGKT2Ruhny+5PLIcrHEPoW9HmUu1GrspWo9ddYh7wCnAJsL2HMCDYSiouQuQ+xyw1ef/Mi/K8XG0vo9PihaW4TiLEo/+OhHLuUtPh6XFStSuAfYUZpBTy/5VQHd8dCsxtDa2U1euMkSH5y5+1Xj24p4wBbwC2kSKto1/5uQVyCuQVyCvQF6BhbsC/wAtXeEzCFoaMQAAAABJRU5ErkJggg==\" width=\"25.5\" height=\"18\" style=\"width: 25.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. Similarly, the radicals of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"18\" style=\"width: 25.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e5\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, respectively. The number\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e1\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eis considered to be the radical of itself.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 44px; 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 22px; text-align: left; transform-origin: 384px 22px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor a given index \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is the n-th \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci number \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"76\" height=\"20\" style=\"width: 76px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"107\" height=\"20\" style=\"width: 107px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e), \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ewrite a function \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; \"\u003eR(n)\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e,\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e that calculates the radical of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor example, if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e then \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"123\" height=\"21\" style=\"width: 123px; height: 21px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, therefore \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; \"\u003eR(12) = 2 * 3 = 6\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eAnd, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"193\" height=\"21\" style=\"width: 193px; height: 21px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, therefore \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; \"\u003eR(24) = 2 * 3 * 7 * 23 = 966\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSince output can be large, please present \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eR(n)\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e as a string (double quotes) array of digits.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = R(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = [24 1:10 12];\r\nr_correct = [\"966\" \"1\" \"1\" \"2\" \"3\" \"5\" \"2\" \"13\" \"21\" \"34\" \"55\" \"6\"];\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 11:10:61;\r\nr_correct = [\"89\" \"10946\" \"1346269\" \"165580141\" \"20365011074\" \"2504730781961\"];\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = [70 71 72]; \r\nr_correct = [\"190392490709135\" \"308061521170129\" \"3461486193606\"];\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 100; \r\nr_correct = \"70844969635852383015\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 120; \r\nr_correct = \"111632484478978471684830\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 300; \r\nr_correct = \"1851935371911837046081165778849249726722224492470831374924830\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 500; \r\nr_correct = \"5576928982467915205588975314816291358002810263507892290564358517933022864914531627662306355048900851765\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 200:50:1000; \r\ns_correct = [2136 2650 3201 3835 4365 4892 5409 5927 6477 6986 7662 8105 8751 9227 9768 10384 10917];\r\nassert(isequal(arrayfun(@(i) sum(char(i)),R(n)),s_correct))\r\n%%\r\nn = 1234; \r\nr_correct = \"347746739180370201052517440604335969788684934927843710657352239304121649686845967975636459392453053377493026875020744760145842401792378749321113719919618588095724485583919541019961884523908359133457357334538791778480910430756107407761555218113998374287548487\";\r\nassert(isequal(R(n),r_correct))\r\n%%\r\nn = 10000; \r\ns_correct = [205 214 233 161 224 198 244 200 195 214];\r\nassert(isequal(histc(char(R(n)),'0123456789'),s_correct))\r\n%%\r\nfiletext = fileread('R.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'regex') || contains(filetext, '[') || contains(filetext, '{');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":255988,"edited_by":255988,"edited_at":"2022-11-11T14:37:21.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2022-11-11T13:37:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-11-09T09:10:40.000Z","updated_at":"2026-03-24T12:07:58.000Z","published_at":"2022-11-11T13:04:28.000Z","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\u003eThe \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Radical_of_an_integer\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eradical of a positive integer\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\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is defined as the product of the distinct prime numbers dividing \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. For example, the distinct prime factors of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[2\\\\ 5]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore the radical of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Similarly, the radicals of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e125\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1344\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e14\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e42\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, respectively. The number\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis considered to be the radical of itself.\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\u003eFor a given index \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the n-th \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci number \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\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_1=F_2=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_n=F_{n-1}+F_{n-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u0026gt;2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e), \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ewrite a function \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eR(n)\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:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e that calculates the radical of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=12\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e then \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{12}=144=2^4\\\\times3^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eR(12) = 2 * 3 = 6\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAnd, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=24\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{24}=46368 = 2^5 \\\\times 3^2 \\\\times 7 \\\\times 23\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eR(24) = 2 * 3 * 7 * 23 = 966\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSince output can be large, please present \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eR(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e as a string (double quotes) array of digits.\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":57760,"title":"Easy Sequences 101: One-line Code Challenge - n-th Digit of Fibonacci Sequence","description":"For a given index , the -th Fibonacci number,  is defined as:  for  or , and  for . \r\nWhat this problem requires is find the digit , which is the -th digit when the Fibonacci numbers are laid side by side.\r\nFor example, for , , and if , .\r\n\r\n--------------------------------\r\nNOTE: The following restrictions apply:\r\nThe function should only have one (1) line of code, excluding the function start line.\r\nSemicolons (;) are considered end-of-line characters.\r\nPlease suppress the function end line. Keyword 'end' is not allowed.\r\nImporting libraries is not allowed.\r\nRegular expressions and string manipulation are not allowed.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440001px; 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: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 377px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 188.5px; transform-origin: 407px 188.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor a given index \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e-th \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci number, \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"17\" height=\"20\" style=\"width: 17px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is defined as: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFYAAAAoCAYAAABkfg1GAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAVqADAAQAAAABAAAAKAAAAABfdlBJAAADFElEQVRoBe2YW6gNURjHt9shuR0JhdoPIkXiwSWRJCQpz3iUJ0VeKHUe1EG5pLx49ybFAyFKeVES5RaJQ3JScj0v7n5/zarVNGZm71mTPbO/r36tNevyzVr/mVnrW9NomJkCpoApYAqYAqZArRVoMrvjMKXoLM/g4AN8bIMdRW/eQf1nMZbT8A1+w2xItZGptY3GNup74Tys8treJH8JPoF8jIc5sALcTQfJV91mMIH9oJekp4zJnMKpnpT4AhIyySTyRVC7aUkNKlZ2jvEehO3wHZwG7uWhqJjdoLtzeiHDlZ7uy4w2Vax+wKCdBpnCDs8xw7G0Wea1u+zlk7K/KLydVFHxsqHQ49+IQ/eklDZz3GBEjjZVa3KLATsdgryx6z0FnpAf8K6VnQ7vYKIuIvvpMt2a5lkKNnjixJcB9T8Bz0ERglmkgHbxNGtSqTDK2VsyS0BRwTzYAmtgH5RlS3Gs0K6o3cHBuqJO8vbPEtZfBuSz/x+OFZaUZRrj5ADOJwTwkdtFK8LqULAXxoCOdAvhADyCZ1CWPcTxzgDOXwXwEcSFRNe66XZCiRq3xxT0xQtreh0sKliOQP7ncyVBsKmUlbkMJNyyGkVpUYG/vr5hOjp5+Ka+RyFe7rfp2nzaGusLezVBIZ2wDiWUhy6qVVSgzWmxp1DSMuBVl5qtVVSgeM8tE9q8rhWUrof++pfpbBgZHXt/uIKUtFOiAo25sF3Hg4sGNLF2bQ8d74KOuFqPZfqvqzX7NaQtRVR3lA0wGqfJ/HZGttlzIEeD0O6/VUUNiiw+g05tc+E+6KR2BKpg+rJ2gxNV6TEYBbntKS19By6vN67Im3s28vuCdBFUxQ4z0CFwOvipYvz/HhG5J36yKooWHafboIr6yepf5pE36961rR/NzPRnSZ+R0q6wICFEhlJa6N/DWlgJvaA4eRxoI6ullRXuSEDxFRaAfpZrF10Nu0DXW8GsRQX6aa9P/x5Mivoq1FJ0odBrU1RmSYsKaF3V/9r4FzGTMv+PWYturbkpYAqYAqaAKWAKmAKmgCnwV4E/2bubgdXiCasAAAAASUVORK5CYII=\" width=\"43\" height=\"20\" style=\"width: 43px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e2\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"107\" height=\"20\" style=\"width: 107px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eWhat this problem requires is find the digit \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACYAAAAoCAYAAACSN4jeAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAJqADAAQAAAABAAAAKAAAAAA7wp46AAACvElEQVRYCe2XS4hPcRTHx2DGa8EomiJZkZFoJilWHrPBjjSSDUvbWUxNymI2JorFTCSTNM3GhoWImpRHiYU80iglokQzNB7z8Ph8dX/9j+v+7v/31/3fke6pb/ec3zm/c87v/J63pqagogJFBf6tCkxLSacF3UUwN8VmDN1zMASeAdk/BLnQHqL8MJiA7wT7QTvoA5+BbL6DC2AZqDo1EsEm1pUQcRFt143dC/jlCXaZNm03AZXgWo/3hbQrITcITe0Mj20mzcdNsDfwaetyk7FVgpruqtFjPLsqnCsTRUmPGPu7Zez/Wr3EBFFybQGeBk2f0QD7RJPaxNZS47YS+2vHXTOyj31kFDpqFhs5mC2XWKvxdB/+nZF9bH1MsSAmB4lpiUm31Xi5Yvg0VseLpddWyIJvxolb9PpuDHCqxf/W9PsQ0Kdikw4TYBh+eoCHdaaPBtMX0Kdik0ETRNdMCB3DSAk5rA7pVInNPIzHTICDAZ118ut4cEmFrskA1yWTHSaAAi0tqbxcr+kzDh+yJr3OfIqTJsgTn5Fp19XjKjUJv8voMmWfmkAnUjzXoTsC3LR/g9+XYi/VTKPXkWRlo/qTXUGTG72+vvWlC1vVdLa64NtAEu2mcQBowLeBdvhhoHv1I2gBv1H8WdKAVq8JS4cQFPwTWAmaIojXufUSHAVnwFeQRHdo1GGtQXeCHqDNchPoWbUB3AOJpFFNAleB+Fev01fgFugHXWAv0HSG0FmM5PM0OBV16I7atkTylHxUWSV2A9RHGaiSqvLsSM79s4qIbga0BETzgWYo8cWSdomrc1bUGjnSNGoDiDYDbYKrEqaKLhNYFVtjEtAGcG1aq7OMLhdW60k7eigW7QHyF3AAnI/pqvsXEwVbz3cOuBQL/h5ZSe8EvvMv1iUfUc/uxnxCFVGKChQV+I8r8BN9PqxA5cOzLAAAAABJRU5ErkJggg==\" width=\"19\" height=\"20\" style=\"width: 19px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, which is the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e-th digit when the Fibonacci numbers are laid side by side\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eFor example, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEkAAAAkCAYAAADFGRdYAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAASaADAAQAAAABAAAAJAAAAABLVRfgAAADGUlEQVRoBe2XS4iOURjHZ1ySy4xcSiyISCLSsCCl3JONBRsrJaVkLKRs2FASsbBSQ5ISRZOFwmiaKQu5jVggucRYYDEYZNx+/897cr7jzPeed3z4Luep33cuz/Oc9zzP+77Peb+amigxAzEDMQMxA2WVgdqy2m1xNjuHZXxx1zG/M6GtOJcqz1WWs+3vBehEN7A8QyverlsKJEjJ2+W7lO+x89lVwlwDQVyHVmgHV14z0QTdrqKaxqcI9itMqaags8Q6CeMvoCepPotjNdkeJlhTsPU03YH9MBP+SEbjvRS2w2prpQn0N8NBWGzNl2p3FBtTnTFJcttmdGOybv4ADs+dRdcli6ynfe/o5ia6Um10U8/DY/gGbpI0fgbjIFimYrkWPoMW6IERsAX0XusJugDmYpvoh8pZDN8Ugb4+wUO5tm7qMdBrZ2JQexP6Q7Dog+odyPkK6HX7AMtA0gjmAityM2E/lyw/49+XNss1e9vZbBRXnf2YNybPZ0De6NdgHt1hyVBF7jhshIvJnF3wOpK5kGYvRmdCDFNsbqToQ9S3MFKydeKZzwKVk5MQJLuxMnf4Kf0jjtf9RH/XmS/H4Qw2rTKieB9mCeBa4iTHBzDEch5v6VTkK0HuEYRi7QoNRkemXdQWOY4bGJunTH8YK0FOEIRi0lvzm/hq0hKs+iWWqkEq3Lbo20nyCdpyvfAfnW4Lw817tdTp29KrNrtCsUhe/mzyf31JMieYLA/lm+eSZ47fdnQfHX3asA6DkWlGAXqdvsWUWclizb5FCyXpFQ46sm3RsanXUWJOuib6elxbIU1K6XQze11AR99OPaBYUmUaFqbeuCeanLdaeiVsD+hEGA6lKIPY1GXohHMwGWzRDe8AxdxoKwr17SSs8hjuY84kUa9bF9jfTB6X/zqlvZn9qlV52AH6V7EGdHJrfhsEy2ks5dQNgz1eK5kz/39e0J/vsSm1qaPWnu2EKQ4dJA1pG65NM/DopzNXD7cha+H2LPdPpiZyFX00joW38AQegepulJiBmIGYgZiBmIGYgZiBmIGYgb+XgR86bt7unlNPCAAAAABJRU5ErkJggg==\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"45\" height=\"20\" style=\"width: 45px; height: 20px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, and if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e--------------------------------\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNOTE: \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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe following restrictions apply:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 100px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 50px; transform-origin: 391px 50px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eThe function should only have one (1) line of code, excluding the function start line.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSemicolons (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e;\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e) are considered end-of-line characters.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003ePlease suppress the function end line. Keyword '\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; \"\u003eend'\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003e is not allowed.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eImporting libraries is not allowed.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 363px 10px; text-align: left; transform-origin: 363px 10px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"background-position-x: 0%; background-position-y: 0%; block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eRegular expressions and string manipulation are not allowed.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function d = D(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 1:25;\r\nd_correct = [1 1 2 3 5 8 1 3 2 1 3 4 5 5 8 9 1 4 4 2 3 3 3 7 7];\r\nassert(isequal(D(n),d_correct))\r\n%%\r\nn = 100:100:1000;\r\nd_correct = [0 4 3 7 4 0 7 9 7 8];\r\nassert(isequal(D(n),d_correct))\r\n%%\r\nn = 1000:1000:10000;\r\nd_correct = [8 9 7 6 8 1 0 4 3 4];\r\nassert(isequal(D(n),d_correct))\r\n%%\r\nn = 10000:10000:100000;\r\nd_correct = [4 7 9 9 9 6 3 7 9 1];\r\nassert(isequal(D(n),d_correct))\r\n%%\r\nn = 100000:100000:1000000;\r\nd_correct = [1 9 2 5 9 3 2 8 9 3];\r\nassert(isequal(D(n),d_correct))\r\n%%\r\nn = 1000000:1000000:10000000;\r\nd_correct = [3 5 7 3 3 5 8 2 9 1];\r\nassert(isequal(D(n),d_correct))\r\n%%\r\nn = 10000:10000:10000000;\r\nh_correct = [100 96 109 85 105 115 82 107 100 101];\r\nassert(isequal(histc(D(n),0:9),h_correct))\r\n%%\r\nfiletext = fileread('D.m');\r\nnot_allowed = contains(filetext, 'import') || contains(filetext, 'str2') || contains(filetext, 'num2') || contains(filetext, 'sprintf') || contains(filetext, 'regex') || contains(filetext, 'eval') || contains(filetext, 'assignin') || contains(filetext, 'end');\r\nassert(~not_allowed)\r\nc = 0;\r\nfor s = deblank(strtrim(splitlines(filetext)))'\r\n    if ~isempty(s{1}) \u0026\u0026 ~isequal(s{1}(1),'%')\r\n        c = c + numel(find(s{1}==';'));\r\n        if  ~isequal(s{1}(end),';')\r\n            c = c + 1;\r\n        end\r\n    end\r\nend\r\nassert(c\u003c=2)","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":255988,"edited_by":255988,"edited_at":"2023-03-10T18:11:52.000Z","deleted_by":null,"deleted_at":null,"solvers_count":1,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-03-09T11:37:24.000Z","updated_at":"2025-11-15T13:27:27.000Z","published_at":"2023-03-10T18:10:42.000Z","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\u003eFor a given index \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci number, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is defined as: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_x=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_x=F_{x-1}+F_{x-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u0026gt;2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWhat this problem requires is find the digit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eD_{n}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, which is the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e-th digit when the Fibonacci numbers are laid side by side\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eD_5=5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=25\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eD_{25}=7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\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\u003e--------------------------------\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe following restrictions apply:\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe function should only have one (1) line of code, excluding the function start line.\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSemicolons (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e) are considered end-of-line characters.\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePlease suppress the function end line. Keyword '\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eend'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is not allowed.\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eImporting libraries is not allowed.\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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eRegular expressions and string manipulation are not 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":56050,"title":"Easy Sequences 73:  Emergence of Fibonacci Insects","description":"Cicadas are natural mathematicians. In order to avoid their natural predators (in this case, the wasp), they emerge from hibernation in \"a prime number\" of years. For example, if the emergence period of a wasp is every  years, selecting  or  or even  years emergence period for the cicadas, means that their population would be wiped out in a few years. But, by selecting a prime emergence period, say  years, they are assured not to meet their predators for a very long time. In this case, if cicadas and wasps emerged the same time today, it would take another  years for them to again see each other.\r\nIn a theoretical environment, a particular species of cicadas selects to emerge every  (-th Fibonacci number) days, while the predator wasps selects emergence period of  (-th Fibonacci number) days. Given the values of  and , and assuming that the insects emerge at the same time, today, in how many days will they again emerge together.\r\nFor example, if the cicadas selected , and  the wasps chose , they will emerge at the same time again in  days.\r\nNOTE: You are given:  and . Since the answer can be a huge number, please present your answer \"modulo \".","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: 325px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 162.5px; transform-origin: 407px 162.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 126px; 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 63px; text-align: left; transform-origin: 384px 63px; 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: 377px 8px; transform-origin: 377px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCicadas are natural mathematicians. In order to avoid their natural predators (in this case, the wasp), they emerge from hibernation in \"a prime number\" of years. For example, if the emergence period of a wasp is every \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\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: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e years, selecting \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e4\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e6\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: 28px 8px; transform-origin: 28px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or even \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e9\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: 329px 8px; transform-origin: 329px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e years emergence period for the cicadas, means that their population would be wiped out in a few years. But, by selecting a prime emergence period, say \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA3ElEQVRYR2NkGGSAcZC5h2HUQYRiZDSEqB1CSkADPwLxW0IGY5EnSi+xUQYyrASIM4HYAIgvkuAgkvQScpAw0OJmqENgbiDWQWTpxecgL6ALdID4ChA3ArEJ1EXEOIhsvYRCCBYqZUBGJwkOQo5RkvSOOohQhhgNodEQwlJgjuYyQrXIaAiNhhAoBEhKB2hBRpLe0ZKaGiU1qMW3C4iVoVFRDqS7CKVkqDzJevFFGciwZCA2xmL5PahPZ+JwGNl6iU1DRAYI5cpGHUQoDEdDaDSECIUAIfnRNEQohAAxvlgl02j4IwAAAABJRU5ErkJggg==\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\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: 212.5px 8px; transform-origin: 212.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e years, they are assured not to meet their predators for a very long time. In this case, if cicadas and wasps emerged the same time today, it would take another \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" height=\"18\"\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: 77px 8px; transform-origin: 77px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e years for them to again see each other.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 86px; 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 43px; text-align: left; transform-origin: 384px 43px; 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: 266.5px 8px; transform-origin: 266.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn a theoretical environment, a particular species of cicadas selects to emerge every \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 17px; height: 20px;\" width=\"17\" height=\"20\"\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: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 10.5px 8px; transform-origin: 10.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFibonacci number\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: 23.5px 8px; transform-origin: 23.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) days, while the predator wasps selects emergence period of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 19.5px; height: 20px;\" width=\"19.5\" height=\"20\"\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: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\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: 90.5px 8px; transform-origin: 90.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th Fibonacci number) days. \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: 71px 8px; transform-origin: 71px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven the values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 17px 8px; transform-origin: 17px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\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: 367.5px 8px; transform-origin: 367.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, and assuming that the insects emerge at the same time, today, in how many days will they again emerge together.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; 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 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 115px 8px; transform-origin: 115px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, if the cicadas selected \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 56px; height: 20px;\" width=\"56\" height=\"20\"\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: 74.5px 8px; transform-origin: 74.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and  the wasps chose \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 51px; height: 20px;\" width=\"51\" height=\"20\"\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: 137.5px 8px; transform-origin: 137.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, they will emerge at the same time again in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 98px; height: 18px;\" width=\"98\" height=\"18\"\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: 19px 8px; transform-origin: 19px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e days.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; 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 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23px 8px; transform-origin: 23px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNOTE: \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: 47.5px 8px; transform-origin: 47.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eYou are given: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 43.5px; height: 20px;\" width=\"43.5\" height=\"20\"\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 43.5px; height: 20px;\" width=\"43.5\" height=\"20\"\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: 252px 8px; transform-origin: 252px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Since the answer can be a huge number, please present your answer \"modulo \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 70.5px; height: 18px;\" width=\"70.5\" height=\"18\"\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: 4.5px 8px; transform-origin: 4.5px 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 e = emergeInsects(n,m)\r\n    e = fib(n) * fib(m);\r\nend","test_suite":"%%\r\nn = 10;\r\nm = 8;\r\ne_correct = 1155;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 25;\r\nm = 15;\r\ne_correct = 9153050;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nk = 102334155;\r\nps = primes(75);\r\ni = randi(21);\r\nn = ps(i);\r\nps(i) = [];\r\nm = ps(randi(20));\r\nfn = [1 0] * [1 1; 1 0]^n * [0; 1];\r\nfm = [1 0] * [1 1; 1 0]^m * [0; 1];\r\ne_correct = mod(mod(fn,k)*mod(fm,k),k);\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 85;\r\nm = 20;\r\ne_correct = 6765;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 100;\r\nm = 20;\r\ne_correct = 6765;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nps = primes(541);\r\nns = ps(51:100);\r\nms = ps(1:50);\r\nes = arrayfun(@(i) emergeInsects(ns(i),ms(i)),1:50);\r\nss = floor([sum(es) mode(es) median(es) std(es)]);\r\nss_correct = [341464745 392836 392836 14111292];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 1001;\r\nm = 209;\r\ne_correct = 47142701;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 1111;\r\nm = 606;\r\ne_correct = 6657472;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nn = 123456789;\r\nm = 43210;\r\ne_correct = 4895;\r\nassert(isequal(emergeInsects(n,m),e_correct))\r\n%%\r\nfiletext = fileread('emergeInsects.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java') ...\r\n|| contains(filetext, 'if') || contains(filetext, 'for') || contains(filetext, 'switch') || contains(filetext, 'while') || contains(filetext, 'try');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":9,"created_by":255988,"edited_by":255988,"edited_at":"2022-09-29T07:24:04.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2022-09-29T07:24:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-09-24T18:01:04.000Z","updated_at":"2026-02-28T14:51:40.000Z","published_at":"2022-09-25T07:46:20.000Z","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\u003eCicadas are natural mathematicians. In order to avoid their natural predators (in this case, the wasp), they emerge from hibernation in \\\"a prime number\\\" of years. For example, if the emergence period of a wasp is every \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e12\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e years, selecting \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or even \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e9\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e years emergence period for the cicadas, means that their population would be wiped out in a few years. But, by selecting a prime emergence period, say \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e11\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e years, they are assured not to meet their predators for a very long time. In this case, if cicadas and wasps emerged the same time today, it would take another \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e132\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e years for them to again see each other.\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\u003eIn a theoretical environment, a particular species of cicadas selects to emerge every \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eFibonacci number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e) days, while the predator wasps selects emergence period of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_m\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th Fibonacci number) days. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven the values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, and assuming that the insects emerge at the same time, today, in how many days will they again emerge together.\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\u003eFor example, if the cicadas selected \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_{10} = 55\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and  the wasps chose \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_8 = 21\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, they will emerge at the same time again in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e55\\\\times21=1155\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e days.\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eYou are given: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_1=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_2=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Since the answer can be a huge number, please present your answer \\\"modulo \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e102334155\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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":56428,"title":"Easy Sequences 79: Trailing Zeros of Fibonorial Numbers at any Base","description":"The fibonorial of an integer  is defined as follows:\r\n                    \r\nwhere:  is the -th Fibonacci number ( and  for ).\r\nIn other words, the fibonorial of , , is the product of all Fibonacci numbers from  to .\r\nGiven an integer  and a number base , write a function that calculates the number of trailing zeros of the fibonorial of  when written in base-.\r\nFor example, for  and , the function should return , because:\r\n  \u003e\u003e dec2base(prod([1 1 2 3 5 8 13 21 34 55]),4)\r\n  \u003e\u003e   '13103120230200'\r\nFor  and , the function should return .\r\n  \u003e\u003e dec2base(prod([1 1 2 3 5 8 13 21 34 55]),13)\r\n  \u003e\u003e   '1C4CB080'\r\n--------------------\r\nHint: As a practice, you may want to solve first, the previous problem: Easy Sequences 78: Trailing Zeros of Factorial Numbers at any Base.","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: 432.733px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 216.367px; transform-origin: 407px 216.367px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.5px 8px; transform-origin: 14.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonorial\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; \"\u003efibonorial \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: 42px 8px; transform-origin: 42px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eof an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 67px 8px; transform-origin: 67px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is defined as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 45px; 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 22.5px; text-align: left; transform-origin: 384px 22.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40px 8px; transform-origin: 40px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 86px; height: 45px;\" width=\"86\" height=\"45\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 23px 8px; transform-origin: 23px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 15px; height: 20px;\" width=\"15\" height=\"20\"\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: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ei\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: 10.5px 8px; transform-origin: 10.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-th \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Fibonacci_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eFibonacci number \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: 2.5px 8px; transform-origin: 2.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e(\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 76px; height: 20px;\" width=\"76\" height=\"20\"\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 100.5px; height: 20px;\" width=\"100.5\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 12.5px 8px; transform-origin: 12.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 33.5px; height: 18px;\" width=\"33.5\" height=\"18\"\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: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; 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 11px; text-align: left; transform-origin: 384px 11px; 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: 113px 8px; transform-origin: 113px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIn other words, the fibonorial of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e,\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 33.5px; height: 18.5px;\" width=\"33.5\" height=\"18.5\"\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: 161px 8px; transform-origin: 161px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, is the product of all Fibonacci numbers from \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 17px; height: 20px;\" width=\"17\" height=\"20\"\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: 11px 8px; transform-origin: 11px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 17px; height: 20px;\" width=\"17\" height=\"20\"\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\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: 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: 54.5px 8px; transform-origin: 54.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 65.5px 8px; transform-origin: 65.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and a number base \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\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: 248px 8px; transform-origin: 248px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, write a function that calculates the number of trailing zeros of the fibonorial of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\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: 0.25px 8px; transform-origin: 0.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e when written in base-\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eb\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" height=\"18\"\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEkAAAAkCAYAAADFGRdYAAACzUlEQVRoQ+1YO08VQRS+/AOR1kpsjAUmSmigsPARTYwdEho7Hj0SwM5oIiUxPhJLEyHW8oilWgkJFIQCpKTi4T+Q70vmJOduZndmdrzL3c1M8mVy7549O/PNd86ZmZ5Wak4GepwWyaCVSPIQQSIpkeTBgIdJUtJ/IqkPfq4DN4Bd4KeH37qZDGPAR8ChbeBFSuKLL4D76sWRBpL0CnOaByaBj6Ekif26Iqpp4Ukh/DATjSLpN5zcBjaAB3WLo4LxMo3sA72xJF2Fgz8uJzUljhHyFxh1zc8VPk/h4ItxchP9Tk0JyQ57An/MAPd8ROAiadkwfYb+ckMIGsA8tgEpQv9ilXRqYvY9+mnjTLYE/LkHnNSIPI6dYfYVWDTjjiJJGKevMeA78BKYUqRQYXOAtXRayNMEx3Cbu6dxOGW5vwWMq8WNIuk5HL0xH+1HvwIwib8FrgDvjMpo4puvdMmNISm3XBc4fYhnn4E7gM6tUSTp0k8FfMooRif1WTwT+RZNnuoU4mNIWsLLqwEOpNwzZTDP6laaJDo9Np4YUsxJCxnnWhWvLc8D5tBxUyn3XNhsK02SVglD7JrFOeX7zfxfRv4dZ8Z8QMr9EH7bikxpkphvJEE/ypG2nHk4Ft+cVBUx8h0pPlxEHs5tTY4ljIY1Y9BWGPL2SVL681REXwcAE3rIcaXq6qaLT8gCtUWGjSRd+vPCSIdjyM1A1dWN43zmYEduOSgILjxbW2GwkcQY/mCMqZTsHYs+GPpWNS3/i6huRTyVyklyNZIXavKc+yZbtQiRdTfYBpOkS/8mZjCoZsFnsuPWx5RumGjMGIJJ4tUIyeEdC3veH7FsstwzTnnIfQw06Qo3mCSuCBVzF3gCXDJLtIX+FxCyy41Z3SrfZfpgy93Fu65Kqhxs134rkeSxNImkRJIHAx4mSUmJJA8GPEySkhJJHgx4mCQleZB0Dkh3lSW4xMlUAAAAAElFTkSuQmCC\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" height=\"18\"\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: 87px 8px; transform-origin: 87px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the function should return \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e2\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: 33px 8px; transform-origin: 33px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, because:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 40.8667px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 20.4333px; transform-origin: 404px 20.4333px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 192px 8.5px; tab-size: 4; transform-origin: 192px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; dec2base(prod([1 1 2 3 5 8 13 21 34 55]),4)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 92px 8.5px; tab-size: 4; transform-origin: 92px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 28px 8.5px; transform-origin: 28px 8.5px; \"\u003e  \u0026gt;\u0026gt;   \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 64px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 64px 8.5px; \"\u003e'13103120230200'\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 13px 8px; transform-origin: 13px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" height=\"18\"\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" height=\"18\"\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: 87px 8px; transform-origin: 87px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the function should return \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e1\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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 40.8667px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 20.4333px; transform-origin: 404px 20.4333px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 196px 8.5px; tab-size: 4; transform-origin: 196px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; dec2base(prod([1 1 2 3 5 8 13 21 34 55]),13)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; 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; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 68px 8.5px; tab-size: 4; transform-origin: 68px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 28px 8.5px; transform-origin: 28px 8.5px; \"\u003e  \u0026gt;\u0026gt;   \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); perspective-origin: 40px 8.5px; text-decoration-color: rgb(170, 4, 249); text-emphasis-color: rgb(170, 4, 249); transform-origin: 40px 8.5px; \"\u003e'1C4CB080'\u003c/span\u003e\u003c/span\u003e\u003c/div\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: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; 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: 50px 8px; transform-origin: 50px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e--------------------\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: 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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHint:\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: 204.5px 8px; transform-origin: 204.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e As a practice, you may want to solve first, the previous problem: \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/56418-easy-sequences-78-trailing-zeros-of-factorial-numbers-at-any-base\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eEasy Sequences 78: Trailing Zeros of Factorial Numbers at any Base\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: 2px 8px; transform-origin: 2px 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 z = trZerPhi(n,b)\r\ny = x;\r\nend","test_suite":"%%\r\nn = 10; bs = 2:15;\r\nz_correct = [5 2 2 2 2 1 1 1 2 1 2 1 1 2];\r\nassert(isequal(arrayfun(@(b) trZerPhi(n,b),bs),z_correct))\r\n%%\r\nn = 3:3:45; b = 2:2:30;\r\nz_correct = [1 2 2 3 3 5 2 4 4 7];\r\nassert(isequal(arrayfun(@(i) trZerPhi(n(i),b(i)),1:10),z_correct))\r\n%%\r\nn = randi(15)+2; b = randi(25)+2;\r\nfs = arrayfun(@(i)[1 0]*[1 1; 1 0]^i*[0; 1],1:n);\r\nfs(gcd(fs,b)==1) = 1;\r\nz_correct = find(flip(dec2base(prod(fs),b))-'0',1,'first') - 1;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 30:3:450; b = 20:2:300;\r\nz = arrayfun(@(i) trZerPhi(n(i),b(i)),1:numel(n));\r\ns = floor([sum(log(z)) sum(z) median(z) std(z) sum(tand(z))])\r\ns_correct = [373 2813 17 15 60];\r\nassert(isequal(s,s_correct))\r\n%%\r\nn = 1000; b = 208;\r\nz_correct = 152;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 1234; bs = 2:36;\r\ns_correct = 8791;\r\nassert(isequal(sum(arrayfun(@(b) trZerPhi(n,b),bs)),s_correct))\r\n%%\r\nn = 12345; b = 350;\r\nz_correct = 1541;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 123456; b = 640;\r\nz_correct = 14696;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 1234567; b = 1313;\r\nz_correct = 24937;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 12345678; b = 12345;\r\nz_correct = 15000;\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nn = 12345678910; b = factorial(10);\r\nz_correct = 1157407394;\r\nint64(trZerPhi(n,b))\r\nassert(isequal(trZerPhi(n,b),z_correct))\r\n%%\r\nfiletext = fileread('trZerPhi.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java')...\r\n    || contains(filetext, 'for') || contains(filetext, 'while') || contains(filetext, 'if') || contains(filetext, 'switch');\r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":4,"created_by":255988,"edited_by":255988,"edited_at":"2022-10-30T04:57:36.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2022-10-26T18:44:43.000Z","updated_at":"2026-03-23T17:49:09.000Z","published_at":"2022-10-29T14:44:21.000Z","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\u003eThe \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonorial\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efibonorial \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003eof an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is defined as follows:\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\u003e                    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Phi(n)=\\\\prod_{i=1}^n F_i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\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\u003ewhere: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ei\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-th \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Fibonacci_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eFibonacci number \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\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_1=F_2=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_i=F_{i-1}+F_{i-2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ei\u0026gt;2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eIn other words, the fibonorial of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Phi(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, is the product of all Fibonacci numbers from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and a number base \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, write a function that calculates the number of trailing zeros of the fibonorial of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e when written in base-\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb=4\\n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the function should return \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, because:\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 dec2base(prod([1 1 2 3 5 8 13 21 34 55]),4)\\n  \u003e\u003e   '13103120230200']]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb=13\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the function should return \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\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 dec2base(prod([1 1 2 3 5 8 13 21 34 55]),13)\\n  \u003e\u003e   '1C4CB080']]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc 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