{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","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":"2025-12-14T00:00:00.000Z","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":46093,"title":"GCD","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: 49.96px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 24.98px; transform-origin: 406.5px 24.98px; 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=\"\"\u003ecalculate the gcd of two numbers.\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=\"\"\u003enb. built in functions are disabled.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = gc_cal(a,b)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(gc_cal(100,30),10))\r\n%%\r\nassert(isequal(gc_cal(1,1),1))\r\n%%\r\nassert(isequal(gc_cal(28851538, 1183019), 17657))\r\n%%\r\nassert(isequal(gc_cal(482372133,334748212),53))\r\n%%\r\nassert(isequal(gc_cal(777,23),1))\r\n%%\r\nassert(isequal(gc_cal(60,260),20))\r\n\t\r\n%%\r\nfiletext = fileread('gc_cal.m');\r\nassert(isempty(strfind(filetext, 'gcd')),'gcd() forbidden')\r\nassert(isempty(strfind(filetext, 'lcm')),'lcm() forbidden')","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":32,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-08-03T01:32:34.000Z","updated_at":"2025-12-28T16:45:20.000Z","published_at":"2020-08-03T01:32:34.000Z","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 gcd of two 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003enb. built in functions are disabled.\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":42966,"title":"find \"greatest common divisor\" of two integer value","description":"A function to find Greatest Common Divisor of two integer input\r\nE.G. x=-18 y=96\r\n\r\noutput should be +6\r\n\r\nx=-18;\r\ny=96;\r\n\u003e\u003eyour_GCD(x,y)\r\nans =\r\n\r\n     6","description_html":"\u003cp\u003eA function to find Greatest Common Divisor of two integer input\r\nE.G. x=-18 y=96\u003c/p\u003e\u003cp\u003eoutput should be +6\u003c/p\u003e\u003cp\u003ex=-18;\r\ny=96;\r\n\u0026gt;\u0026gt;your_GCD(x,y)\r\nans =\u003c/p\u003e\u003cpre\u003e     6\u003c/pre\u003e","function_template":"function z = your_GCD(x,y)\r\n  z = x/y;  \r\nend","test_suite":"%%\r\n\r\nx = -18;\r\ny=96;\r\nz_correct = 6;\r\nassert(isequal(your_GCD(x,y),z_correct))\r\n\r\n\r\nx = -118;\r\ny=66;\r\nz_correct = 2;\r\nassert(isequal(your_GCD(x,y),z_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":86389,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":199,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-09-02T14:30:47.000Z","updated_at":"2026-02-19T14:23:12.000Z","published_at":"2016-09-02T14:30:47.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA function to find Greatest Common Divisor of two integer input E.G. x=-18 y=96\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eoutput should be +6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex=-18; y=96; \u0026gt;\u0026gt;your_GCD(x,y) ans =\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[     6]]\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":1018,"title":"Array GCD","description":"* Find Greatest Common Divisor in a given array \r\n* Function Template:\r\n    \r\n  function ans = arraygcd(a)\r\n     % a=[45 15 200 300];\r\n     5;\r\n  end\r\n","description_html":"\u003cul\u003e\u003cli\u003eFind Greatest Common Divisor in a given array\u003c/li\u003e\u003cli\u003eFunction Template:\u003c/li\u003e\u003c/ul\u003e\u003cpre class=\"language-matlab\"\u003efunction ans = arraygcd(a)\r\n   % a=[45 15 200 300];\r\n   5;\r\nend\r\n\u003c/pre\u003e","function_template":"function thegcd = arraygcd(a)\r\n   % a=[45 15 200 300];\r\n   thegcd=5;\r\nend\r\n","test_suite":"%%\r\na = [45 15 200 300];\r\narraygcdok=5;\r\nassert(isequal(arraygcd(a),arraygcdok))\r\n%%\r\na = [140 7 14 35 42];\r\narraygcdok=7;\r\nassert(isequal(arraygcd(a),arraygcdok))\r\n%%\r\na = [100 90 70 2000];\r\narraygcdok=10;\r\nassert(isequal(arraygcd(a),arraygcdok))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":166,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":107,"test_suite_updated_at":"2012-10-31T18:16:07.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-10-31T18:11:41.000Z","updated_at":"2025-12-01T18:11:44.000Z","published_at":"2012-10-31T18:16:07.000Z","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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind Greatest Common Divisor in a given array\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\u003eFunction Template:\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[function ans = arraygcd(a)\\n   % a=[45 15 200 300];\\n   5;\\nend]]\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":46096,"title":"LCM","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: 49.96px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 24.98px; transform-origin: 406.5px 24.98px; 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 two numbers, calculate the lcm.\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=\"\"\u003enb. built-in functions are disabled\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = lc_cal(a,b)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(lc_cal(5,6),30))\r\n%%\r\nassert(isequal(lc_cal(65,24843),124215))\r\n%%\r\nassert(isequal(lc_cal(28851538,1183019),1933053046))\r\n%%\r\nassert(isequal(lc_cal(3,9),9))\r\n%%\r\nassert(isequal(lc_cal(1,1),1))\r\n%%\r\nassert(isequal(lc_cal(6236412, 24228),12591315828))\r\n%%\r\nfiletext = fileread('lc_cal.m');\r\nassert(isempty(strfind(filetext, 'gcd')),'gcd() forbidden')\r\nassert(isempty(strfind(filetext, 'lcm')),'lcm() forbidden')\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":24,"test_suite_updated_at":"2020-08-03T02:00:39.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-08-03T01:54:30.000Z","updated_at":"2026-01-03T16:57:05.000Z","published_at":"2020-08-03T02:00:39.000Z","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 two numbers, calculate the lcm.\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\u003enb. built-in functions are disabled\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":59691,"title":"Find the minimum element coprime to the rest in a set of 10 consecutive integers","description":"In this video, Dr Barker argued that a set of 10 consecutive integers must have at least one integer coprime to the rest. For example, in the set 20:29, both 23 and 29 are coprime to the other elements of the set. \r\nThe argument proceeds like this: In a set of 10 consecutive integers, five are even, and five are odd. The even numbers are not coprime because they share a factor of 2 (at least). Of the five odd numbers, at most two will be divisible by 3, one will be divisible by 5, and one will be divisible by 7. Aside from 1, the remaining number will not be divisible by any number less than 10, and if the remaining number is divisible by a number greater than 10, there cannot be another number in the set divisible by the same number. Therefore, at least one of the numbers in the set is coprime to the others. \r\nWrite a function that takes the smallest number in the set and produces the smallest number coprime to the others as well as the number of coprime integers. If the input is 20, then the function should return 23 and 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: 207px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 103.5px; transform-origin: 407px 103.5px; 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: 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: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.youtube.com/watch?v=gcU-EB4J6vA\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ethis video\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: 269.15px 8px; transform-origin: 269.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, Dr Barker argued that a set of 10 consecutive integers must have at least one integer \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Coprime_integers\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ecoprime\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: 49.375px 8px; transform-origin: 49.375px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the rest. For example, in the set 20:29, both 23 and 29 are coprime to the other elements of the set. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; 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 52.5px; text-align: left; transform-origin: 384px 52.5px; 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: 383.9px 8px; transform-origin: 383.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe argument proceeds like this: In a set of 10 consecutive integers, five are even, and five are odd. The even numbers are not coprime because they share a factor of 2 (at least). Of the five odd numbers, at most two will be divisible by 3, one will be divisible by 5, and one will be divisible by 7. Aside from 1, the remaining number will not be divisible by any number less than 10, and if the remaining number is divisible by a number greater than 10, there cannot be another number in the set divisible by the same number. Therefore, at least one of the numbers in the set is coprime to the others. \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: 378.325px 8px; transform-origin: 378.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the smallest number in the set and produces the smallest number coprime to the others as well as the number of coprime integers. If the input is 20, then the function should return 23 and 2. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [y,nc] = minCoprime(n)\r\n  y = n; \r\n  nc = randi(5);\r\nend","test_suite":"%%\r\nn = 1;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 1;\r\nnc_correct = 2;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 2;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 7;\r\nnc_correct = 2;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 20;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 23;\r\nnc_correct = 2;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 20;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 23;\r\nnc_correct = 2;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 100;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 101;\r\nnc_correct = 4;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 658;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 659;\r\nnc_correct = 3;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 2898;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 2899;\r\nnc_correct = 2;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 39574;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 39577;\r\nnc_correct = 3;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 488843;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 488843;\r\nnc_correct = 3;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 5129442;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 5129443;\r\nnc_correct = 3;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 69641285;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 69641287;\r\nnc_correct = 3;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 777444111;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 777444113;\r\nnc_correct = 2;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 8264599137;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 8264599139;\r\nnc_correct = 2;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 90909090909;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 90909090911;\r\nnc_correct = 3;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nfor k = 1:10000\r\n    [y(k),nc(k)] = minCoprime(k);\r\nend\r\nh = histc(y,unique(y));\r\ny9 = y(h==9);\r\nsum_correct = 50025620;\r\nsumu_correct = 12622928;\r\nhist_correct = [572 4856 4190 382];\r\nnprime_correct = 5132;\r\ny9_correct = [53 107 163 217 269 319 373 427 479 533 583 641 689 743 797 851 901 959 1007 1061 1117 1169 1219 1273 1327 1381 1433 1487 1537 1591 1643 1697 1751 1807 1859 1909 1961 2017 2069 2123 2173 2227 2279 2333 2389 2441 2491];\r\nassert(isequal(sum(y),sum_correct))\r\nassert(isequal(sum(unique(y)),sumu_correct))\r\nassert(isequal(histcounts(nc,4),hist_correct))\r\nassert(isequal(sum(isprime(y)),nprime_correct))\r\n\r\n%%\r\nfiletext = fileread('minCoprime.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2024-03-10T13:44:13.000Z","deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2024-03-10T13:44:07.000Z","updated_at":"2025-05-10T14:33:51.000Z","published_at":"2024-03-10T13:44:14.000Z","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\u003eIn \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.youtube.com/watch?v=gcU-EB4J6vA\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethis video\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, Dr Barker argued that a set of 10 consecutive integers must have at least one integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Coprime_integers\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecoprime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e to the rest. For example, in the set 20:29, both 23 and 29 are coprime to the other elements of the set. \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 argument proceeds like this: In a set of 10 consecutive integers, five are even, and five are odd. The even numbers are not coprime because they share a factor of 2 (at least). Of the five odd numbers, at most two will be divisible by 3, one will be divisible by 5, and one will be divisible by 7. Aside from 1, the remaining number will not be divisible by any number less than 10, and if the remaining number is divisible by a number greater than 10, there cannot be another number in the set divisible by the same number. Therefore, at least one of the numbers in the set is coprime to the others. \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 takes the smallest number in the set and produces the smallest number coprime to the others as well as the number of coprime integers. If the input is 20, then the function should return 23 and 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":57839,"title":"Easy Sequences 104: One-line Code Challenge - GCDs of Sum of Consecutive Cubes","description":"For a natural number, n, the function CC(n) is defined as follows:\r\n                \r\nIn other words, CC(n) is the sum of cubes of all integers from 1 to n.\r\nGiven positive integers x and y, write a function that calculates the value of gcd(CC(x),CC(y)) . For example:\r\n\u003e\u003e CC = @(n) sum((1:n).^3);\r\n  \u003e\u003e gcdCC = @(x,y) gcd(CC(x),CC(y));\r\n  \u003e\u003e gcdCC(5,10)\r\n        ans = 25\r\nThe 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\nRegular expressions are not allowed.\r\nOnly 'pure' matlab functions/commands are allowed (no java, no python).","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: 372.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 186.2px; transform-origin: 407px 186.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.5px; 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 10.75px; text-align: left; transform-origin: 384px 10.75px; 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: 70.5px 8px; transform-origin: 70.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a natural 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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\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: 43px 8px; transform-origin: 43px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the 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: 20px 8px; transform-origin: 20px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 20px 8.5px; transform-origin: 20px 8.5px; \"\u003eCC(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: 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: 32px 8px; transform-origin: 32px 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,iVBORw0KGgoAAAANSUhEUgAAAL8AAABaCAYAAADpY4c3AAAK9klEQVR4Xu1dx+slRRBe/4B1MZxUPBgOgouC6aLCCgbUg2AWEQ9iOghiZFU8mFARQcwgLGIEBREUAyioFyPKCh4MJ/FkxD9A65P5sH79ZqZ7XqfpeTVQbHgz1dVV31RXV1f37LPNLtPAhmpgnw3tt3XbNLDNwG8g2FgNGPg31vTWcQO/YWBjNWDg31jTW8cN/IaBjdWAgX9jTW8dN/AbBjZWAwb+jTW9ddzAbxiYooFL5OZThQ4TOkDoBKFbhW7vmBwvf/40hWHNew38NbXfZtsA+4NCtwntENortFNot9ClQq+00i0DfyuWmo+cAPfFQq8KfSj0jNCTQtcJnSL0yXxEHZfEwN+KpeYj5+8iyn4d+BEG4fqh+/Mk+fO3+Yhq4G/FFi3IebII+bHQH0K7hL4RQvz/o/MytNAXK2xrwkrzEZLx/lMi0vWdWPD+LwtdK4QQqJnLwp5mTDULQd8RKc4UOrbz+hCK8f7h8vcThWzCOwtTmRCpNfBPF+Lo2B5zANCdQocKPZS60Vz8zPPn0uzy+J4tXXpL6H6hO1T3Ppe/I7/v/v/sNWDgn72JTMBcGjDw59Ks8Z29Bgz8szeRCZhLAwb+XJo1vrPXgIF/9iZKKuAxwm17Uo5xzH6Rx6sVwhn444zX2tPM089F7i9EEFSGVrkM/FXUXq3Ra6Tlp53WAcAbE0t0iPBDzh9Vn8cJYWFs6KpWDGfgT2z1BtixKlOLWqI0ASHXRUKoCMVqMC9dKlFUfQb+ouqeRWPYhPKpA0AIpksWcguKeqB7lQx4GYrH/gb+3GaeJ39WZ2rpUJlZsiQZL+E9QtgHgI0xxcsiDPzzBGcJqVihqduqEYJgFEBx3P4lOq3bMPCX1vi82uvL/tTYigjwfyRUtCLUwD8vMJaWBqHH90LYmcVLb1QpJQ/keFHorAQNMpzCiIJ+oT+XC73t8l4y+KGEC4RSbbBAnPy3EHYvLelitabuU438O7JBKXSLKlPQS0JIuWJUwUuwklJdKvjpSTCRSqFQAAM8nxB6Q6jo8FzgTbtP2sDpC/pqrkRZhIe3d/cUcKfZSn9iwY/9mwcpjbmeEd7yO6HQTc0p+AGkiGWvSgh8dpG8H1ngC8C6fP0CnCP/WAkXCryMoU3AHkcJ8cQIjB4/O3hjZmtlLWMd8IPZZd1bhuEEKTLu3sdKHmKsz4QgGC7f8nVqfgD+B0K5UmfMk5+f4eUKNXqO+wAcHEXixv9HOmDK0fY6PPV8ZSxLhazWhUKYT2xxwlPAD+XgsCIuVSOkeE1IL07Ac+M8F+zswTUmVGp+aA8dvVroiHW0OeEZlAlgZPG92BNYzuJWhghamHc74MxCQCWEu1bRh2Xcs0eo11GFgp+5WHr6Ma+nVxCHFi9S84NO6AlwqkCJmByj3bNCuUaYWmDrK3+osggVoADMVbBI5tocjhUOCr/xWllFDgG/9gahq4AsoOqLGVPzY+dKeX3dHs6oLL44EwCKmFuGyh+qFaBFdAae/1EhRCIrI5gP/O7QElqDgTfva6EDhXSclZqf1gtOEECYpTdXR+jN+ygPa6qxKOQVLvIG2k+zCXV8kU0nf1y/zFvwPgZ+dwFkauUfvL/Osafmp7XEXHXp7ARCH+TEeWxfcstVZNhX/oz5XIt9ZSnHFmc8Bn4eRgT9I4MTO7yn5qdxwTy1O9L4sAPvjUtP2rnbKSRFi/j4jAS68clZ6/e+8oepTjCl7Ext7itMjxY6rWPuWxnuzfgMgR+N/Kqkjp3wpObnKpRG8oVx8GZYBNEbLFjKy8wAa83h0VfSY07D9Cih4aB+PNWWwpynIveVP6APJcuftc4gz+lCVwox6xiyGAd8fCm0JSQeAos75MV2NjU/F/yI97G24PMAANzBQjh8CRfiWKRFmX1C1uA8IWy4wOULowj+dSaDKbYUphiRXV26/+4rfw5xDD6+Mb/rilRtI0QXGIlvEOLiHGx7U2fTLXsGhsCv010pFJyan6s4HKMXmo/WoxBGtG+FHhNiLbtWrM+jExjrTHoRqmEEirn+7F7cGB4hz86t/EHjSWMYTvYBIabkMUfZK/S+0EqVwRD4eQY7FJOiyCk1vxjw60IueI0XhPTndKjYkH4T/LFhYQgAa9+jyx9qVH7q/hNPoQ6vV3dD4Icn5ZVihp+aXwz46cVgQIQ9bp0OMjjw+CGA3iTw6/TnOiNdqpdXyxFio8F2Q8AfMqHwdUyDPwW/GPAT3ODhll9oxYbE8bVSrD595/id2bqa2R70S4elUXPRpYQ9ADTIN+HlwhTB4aZGOTEPnefETHhbyPZQT30fpcjxgoXwZKIg1EaTPb+eUKSY2afm53ZoSqqT59b0eTD9sbWQxZzexZMQC8o9rWR7WI4SMgcK7HrUbYwiosPxIc/vVveFDi8si3XLYFPzc7UXmm/XL2HfghgVGxrTAsBIla5TRdpCtodhYAoHGIX47mGddg210WTPjwf07B6x8V1CY5tSINibQruE+nZPpeanO0Uj+fLyY15DZ4Ew4f2r885jZcvIOuCF4vepUhh4LjzoyCDPkE1Ly+qmoUNstBb43eo+TFSfE3IPF0IcfbMQvPuYklLzczuFmP+9ESD6vAYndPRy8Op3Cw3tZCK/kIlxaZDEtscda0gBh476sW2GPM9QMdRGozx95QBQAg8WAiNMMgCwr4R2CLFMIGRkwPOp+enOwSugxHho55FeqOkLeRgSoY/w6A8LjW1+52riOiFPiKFr3sNROjq0SNyJqTaKAj8fhnfHl/ZQF8NiItRKDK6eeTqdmh9fLBzDMbSZhTH2So1HJyt3lmHV9HGhsZoZ1rz0HomR2OCl2XEEjMqhZxJa2+h5aSNqf7HP82fqQza2iNuxYpt73ylfJF9qNVtHMzGeU0ozUxf/Z7s08KNn8Fy4ck1CObHP/YJlN77TQO2UJhxKqY1I/3V9ieBHvzAx2iOUei/v0k9uwFyn5GG1fP8wYp+b0WH1OpKlgp8jQMrzHwF8HKmX8iCs0t69rz3Mv5A9wVUjpcn2i7e9ZPDDmPAoUZMihZapB3DNAdg+GXRKs0bKFhPY1zshi2fNlg5+n/E3/XfmzWukNHXtfZViOQP/5sKfKc0cVbZDWsVIg8ODbxHSnybybRrKYiUDfxa1zp4pq1dzfoyCm81xUvJOIWwv5El+WkHRBWrratvAv67m2n1OFxlioht6iLCvxwB7H7h9z9UIuf6TycDvM82yfu87jLZmD6Nr8mOEN/DHaK+9Z1OUUafsdc7TtL1yGvi9KrIblqoBA/9SLWv98mrAwO9Vkd2wVA0Y+Jdq2fn0y7fPopqkBv5qqp9lw9ynAOFiDyZGSlUf/Tj1EOHsCjLwZ1dxUw0Q/DjMC+eVultWp3QGaVXs5ea+aQP/FO3ZvYvQgIF/EWa0TqyjAQP/OlqzZ4ppgAVn/HbBvdJyqnP/DfzFzGgNxWgAQEXJAU+tnnqqXN+5SQb+GIvYs0U0oE9n40FdU88T/aVnkmzgL2I+ayRGAyxzTn1kiYE/xir2bBEN8ECo1NsZDfxFzGeNxGgAIHW/tWsxf4xG7dkmNMBzR7GrarfQdiEsUFnM34T5TMgYDfCkNmwkxxEi+Khb30nbU9vQH/+zFd6p2rP7i2iAx7NjW+PYydRThAHPK4T4WVeMKr4zUKfwj77XanuiVWgMWtWAgb9Vy5nc0Row8Eer0Bi0qgEDf6uWM7mjNWDgj1ahMWhVAwb+Vi1nckdrwMAfrUJj0KoG/gVwVXF598KWpAAAAABJRU5ErkJggg==\" style=\"width: 95.5px; height: 45px;\" width=\"95.5\" height=\"45\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.5px; 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 10.75px; text-align: left; transform-origin: 384px 10.75px; 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: 48.5px 8px; transform-origin: 48.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn other words, \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: 20px 8px; transform-origin: 20px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 20px 8.5px; transform-origin: 20px 8.5px; \"\u003eCC(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: 125.5px 8px; transform-origin: 125.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the sum of cubes of all integers from \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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\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: 10px 8px; transform-origin: 10px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e 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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\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: 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: 21.5px; 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 10.75px; text-align: left; transform-origin: 384px 10.75px; 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: 74px 8px; transform-origin: 74px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven positive 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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\u003ex\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\u003ey\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: 140px 8px; transform-origin: 140px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, write a function that calculates the value 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: 64px 8px; transform-origin: 64px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 64px 8.5px; transform-origin: 64px 8.5px; \"\u003egcd(CC(x),CC(y))\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: 47px 8px; transform-origin: 47px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e . For example:\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: 108px 8.5px; tab-size: 4; transform-origin: 108px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u0026gt;\u0026gt; CC = @(n) sum((1:n).^3);\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: 148px 8.5px; tab-size: 4; transform-origin: 148px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; gcdCC = @(x,y) gcd(CC(x),CC(y));\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: 64px 8.5px; tab-size: 4; transform-origin: 64px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; gcdCC(5,10)\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: 64px 8.5px; tab-size: 4; transform-origin: 64px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e        ans = 25\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: 99px 8px; transform-origin: 99px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe following restrictions apply:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 103.167px; counter-reset: list-item 0; 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 51.5833px; transform-origin: 391px 51.5833px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20.4333px; counter-reset: none; 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 10.2167px; text-align: left; transform-origin: 363px 10.2167px; 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: 262px 8px; transform-origin: 262px 8px; unicode-bidi: normal; \"\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: 20.9333px; counter-reset: none; 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 10.4667px; text-align: left; transform-origin: 363px 10.4667px; 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: 40.5px 8px; transform-origin: 40.5px 8px; unicode-bidi: normal; \"\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\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: 125.5px 8px; transform-origin: 125.5px 8px; unicode-bidi: normal; \"\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: 20.9333px; counter-reset: none; 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 10.4667px; text-align: left; transform-origin: 363px 10.4667px; 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: 153px 8px; transform-origin: 153px 8px; unicode-bidi: normal; \"\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 16px 8.5px; transform-origin: 16px 8.5px; \"\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: 46.5px 8px; transform-origin: 46.5px 8px; unicode-bidi: normal; \"\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: 20.4333px; counter-reset: none; 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 10.2167px; text-align: left; transform-origin: 363px 10.2167px; 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: 116.5px 8px; transform-origin: 116.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eRegular expressions are not allowed.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20.4333px; counter-reset: none; 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 10.2167px; text-align: left; transform-origin: 363px 10.2167px; 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: 229px 8px; transform-origin: 229px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOnly 'pure' matlab functions/commands are allowed (no java, no python).\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function g = gcdCC(x,y)\r\n    g = gcd(sum((1:x).^3),sum((1:y).^3))","test_suite":"%%\r\nx = 5; y = 10;\r\ng_correct = 25;\r\nassert(isequal(gcdCC(x,y),g_correct))\r\n%%\r\nx = 123; y = 1968;\r\ng_correct = 60516;\r\nassert(isequal(gcdCC(x,y),g_correct))\r\n%%\r\nx = [123 456 789]; y = [987 654 321];\r\ns_correct = 18;\r\nassert(isequal(mean(gcdCC(x,y)),s_correct))\r\n%%\r\nx = 2000; y = 7337;\r\ng_correct = 4004001;\r\nassert(isequal(gcdCC(x,y),g_correct))\r\n%%\r\nx = [11111 22222 33333 44444]; y = [66666 77777 88888 99999];\r\ns_correct = 112466886431;\r\nassert(isequal(sum(gcdCC(x,y)),s_correct))\r\n%%\r\nx = primes(100000); y = x * 2 + 1;\r\ns_correct = 7455917221644;\r\nassert(isequal(sum(gcdCC(x,y)),s_correct))\r\n%%\r\nx = 123456789; y = 987654321;\r\ng_correct = 81;\r\nassert(isequal(gcdCC(x,y),g_correct))\r\n%%\r\nx = 1:10000; y = x * 3 - 4;\r\ng = gcdCC(x,y);\r\ns_correct = [87238 174316 261586 349208 435182 522452 610074 697344 783270 870508];\r\nassert(isequal(arrayfun(@(i) sum(g(1:i)),1000:1000:10000),s_correct))\r\nassert(isempty(lastwarn))\r\n%%\r\nx = [234567891 345678912 456789123]; y = [876543219 765432198 654321987];\r\ng = gcdCC(x,y);\r\ns_correct = [175689 135837 -96957];\r\n[sum(g) diff(g)]\r\nassert(isequal([sum(g) diff(g)],s_correct))\r\n%%\r\nfiletext = fileread('gcdCC.m');\r\nnot_allowed = contains(filetext, 'java') || contains(filetext, 'py') || contains(filetext, 'regex') || contains(filetext, 'assignin') || contains(filetext, 'end');\r\nassert(~not_allowed)\r\nc = 0;\r\ndeblank(strtrim(splitlines(filetext)))\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":0,"created_by":255988,"edited_by":255988,"edited_at":"2023-03-28T12:01:13.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-03-27T11:07:50.000Z","updated_at":"2025-04-24T23:46:15.000Z","published_at":"2023-03-28T11:58:31.000Z","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\u003eFor a natural number, \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\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, the 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\u003eCC(n)\u003c/w:t\u003e\u003c/w:r\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\u003eCC(n) = \\\\sum_{i=1}^n i^3\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\u003eIn other words, \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\u003eCC(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the sum of cubes of all integers from \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\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to \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\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:t\u003eGiven positive integers \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\u003ex\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:rPr\u003e\u003cw:b/\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, write a function that calculates the value of \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\u003egcd(CC(x),CC(y))\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e . 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 CC = @(n) sum((1:n).^3);\\n  \u003e\u003e gcdCC = @(x,y) gcd(CC(x),CC(y));\\n  \u003e\u003e gcdCC(5,10)\\n        ans = 25]]\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 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\u003eRegular expressions are 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\u003eOnly 'pure' matlab functions/commands are allowed (no java, no python).\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":57675,"title":"Easy Sequences 94: GCD Sums","description":"Given positive integer , write the function gSum(x), that sums all the GCD's of the integer pairs . For example in the Excel screenshot below, it is claro that when , the function should return .\r\n                \r\nPlease limit the cody program size of the function to 150. This problem is not so hard. Good luck!","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: 440px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 220px; transform-origin: 407px 220px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42.5px; 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 21.25px; text-align: left; transform-origin: 384px 21.25px; 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: 81px 8px; transform-origin: 81px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven positive 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);\"\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: 68px 8px; transform-origin: 68px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, write the 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: 28px 8px; transform-origin: 28px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 28px 8.5px; transform-origin: 28px 8.5px; \"\u003egSum(x)\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: 63.5px 8px; transform-origin: 63.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, that sums all the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/help/matlab/ref/gcd.html\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; text-decoration-line: underline; \"\u003eGCD\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: 77px 8px; transform-origin: 77px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e's of the integer pairs \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 53.5px; height: 18px;\" width=\"53.5\" 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: 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: 15px 8px; transform-origin: 15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e For example in the Excel screenshot below, it is claro that when \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=\"vertical-align:-5px\"\u003e\u003cimg 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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: 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: 358.5px; 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 179.25px; text-align: left; transform-origin: 384px 179.25px; 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=\"\"\u003e                \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 479px;height: 353px\" 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\" data-image-state=\"image-loaded\" width=\"479\" height=\"353\"\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: 49.5px 8px; transform-origin: 49.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ePlease limit the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/content/cody/about.html\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; text-decoration-line: underline; \"\u003ecody program size\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: 57px 8px; transform-origin: 57px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the function 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: 12px 8px; transform-origin: 12px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration-line: underline; \"\u003e150\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: 128.5px 8px; transform-origin: 128.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. This problem is not so hard. Good luck!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = gSum(x)\r\n    s = 0;\r\n    for(n=1; n\u003c=x; n++)\r\n        for(m=1; m\u003c=x; m++)\r\n            s += gcd(n,m);\r\n        end\r\n    end\r\nend","test_suite":"%%\r\nx = 1:20;\r\ns_correct = [1 5 12 24 37 61 80 112 145 189 220 288 325 389 464 544 593 701 756 880];\r\nassert(isequal(gSum(x),s_correct))\r\n%%\r\nx = 5:5:5000;\r\nss_correct = 43583588572;\r\nassert(isequal(sum(gSum(x)),ss_correct))\r\n%%\r\nx = [100 1000 10000];\r\ns_correct = [31080 4449880 584509280];\r\nassert(isequal(gSum(x),s_correct))\r\n%%\r\nx = [123 1234 12345 123456];\r\ns_correct = [48284 6965461 910094057 112354238520];\r\nassert(isequal(gSum(x),s_correct))\r\n%%\r\nx = 100000:200000;\r\ns = gSum(x);\r\nss_correct = [72434344904 72435008505 72436765293 72437065300 306577364877 306582686325 306583286320 306591086320 175521614894 168526328264 72434344904 67845974433];\r\nassert(isequal(floor([s(1:4) s(end-3:end) mean(s) median(s) mode(s) std(s)]),ss_correct))\r\n%%\r\nx = [111111 222222 333333 444444 555555 666666];\r\ns_correct = [90218070888 381674926949 886164224973 1609919275672 2557386868212 3731906283933];\r\nassert(isequal(gSum(x),s_correct))\r\n%%\r\nfiletext = fileread('gSum.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'regexp') || contains(filetext, 'eval') || contains(filetext, 'assignin');\r\nassert(~not_allowed)\r\nassert(mtree(filetext).count\u003c=150)","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":255988,"edited_by":255988,"edited_at":"2023-02-09T12:02:34.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-02-08T11:20:15.000Z","updated_at":"2025-11-23T05:52:55.000Z","published_at":"2023-02-09T12:00:10.000Z","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\u003eGiven positive 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\u003ex\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 the 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\u003egSum(x)\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 sums all the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/help/matlab/ref/gcd.html\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGCD\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's of the integer pairs \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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,m \\\\le x\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 in the Excel screenshot below, it is claro that when \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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=20\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\u003e880\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\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"353\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"479\\\"/\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\u003ePlease limit the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/content/cody/about.html\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecody program size\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e of the function to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e150\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. This problem is not so hard. Good 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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: 49.96px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 24.98px; transform-origin: 406.5px 24.98px; 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=\"\"\u003ecalculate the gcd of two numbers.\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=\"\"\u003enb. built in functions are disabled.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = gc_cal(a,b)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(gc_cal(100,30),10))\r\n%%\r\nassert(isequal(gc_cal(1,1),1))\r\n%%\r\nassert(isequal(gc_cal(28851538, 1183019), 17657))\r\n%%\r\nassert(isequal(gc_cal(482372133,334748212),53))\r\n%%\r\nassert(isequal(gc_cal(777,23),1))\r\n%%\r\nassert(isequal(gc_cal(60,260),20))\r\n\t\r\n%%\r\nfiletext = fileread('gc_cal.m');\r\nassert(isempty(strfind(filetext, 'gcd')),'gcd() forbidden')\r\nassert(isempty(strfind(filetext, 'lcm')),'lcm() forbidden')","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":32,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-08-03T01:32:34.000Z","updated_at":"2025-12-28T16:45:20.000Z","published_at":"2020-08-03T01:32:34.000Z","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 gcd of two 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\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003enb. built in functions are disabled.\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":42966,"title":"find \"greatest common divisor\" of two integer value","description":"A function to find Greatest Common Divisor of two integer input\r\nE.G. x=-18 y=96\r\n\r\noutput should be +6\r\n\r\nx=-18;\r\ny=96;\r\n\u003e\u003eyour_GCD(x,y)\r\nans =\r\n\r\n     6","description_html":"\u003cp\u003eA function to find Greatest Common Divisor of two integer input\r\nE.G. x=-18 y=96\u003c/p\u003e\u003cp\u003eoutput should be +6\u003c/p\u003e\u003cp\u003ex=-18;\r\ny=96;\r\n\u0026gt;\u0026gt;your_GCD(x,y)\r\nans =\u003c/p\u003e\u003cpre\u003e     6\u003c/pre\u003e","function_template":"function z = your_GCD(x,y)\r\n  z = x/y;  \r\nend","test_suite":"%%\r\n\r\nx = -18;\r\ny=96;\r\nz_correct = 6;\r\nassert(isequal(your_GCD(x,y),z_correct))\r\n\r\n\r\nx = -118;\r\ny=66;\r\nz_correct = 2;\r\nassert(isequal(your_GCD(x,y),z_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":86389,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":199,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2016-09-02T14:30:47.000Z","updated_at":"2026-02-19T14:23:12.000Z","published_at":"2016-09-02T14:30:47.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA function to find Greatest Common Divisor of two integer input E.G. x=-18 y=96\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eoutput should be +6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ex=-18; y=96; \u0026gt;\u0026gt;your_GCD(x,y) ans =\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[     6]]\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":1018,"title":"Array GCD","description":"* Find Greatest Common Divisor in a given array \r\n* Function Template:\r\n    \r\n  function ans = arraygcd(a)\r\n     % a=[45 15 200 300];\r\n     5;\r\n  end\r\n","description_html":"\u003cul\u003e\u003cli\u003eFind Greatest Common Divisor in a given array\u003c/li\u003e\u003cli\u003eFunction Template:\u003c/li\u003e\u003c/ul\u003e\u003cpre class=\"language-matlab\"\u003efunction ans = arraygcd(a)\r\n   % a=[45 15 200 300];\r\n   5;\r\nend\r\n\u003c/pre\u003e","function_template":"function thegcd = arraygcd(a)\r\n   % a=[45 15 200 300];\r\n   thegcd=5;\r\nend\r\n","test_suite":"%%\r\na = [45 15 200 300];\r\narraygcdok=5;\r\nassert(isequal(arraygcd(a),arraygcdok))\r\n%%\r\na = [140 7 14 35 42];\r\narraygcdok=7;\r\nassert(isequal(arraygcd(a),arraygcdok))\r\n%%\r\na = [100 90 70 2000];\r\narraygcdok=10;\r\nassert(isequal(arraygcd(a),arraygcdok))\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":166,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":107,"test_suite_updated_at":"2012-10-31T18:16:07.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2012-10-31T18:11:41.000Z","updated_at":"2025-12-01T18:11:44.000Z","published_at":"2012-10-31T18:16:07.000Z","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=\\\"ListParagraph\\\"/\u003e\u003cw:numPr\u003e\u003cw:numId w:val=\\\"1\\\"/\u003e\u003c/w:numPr\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFind Greatest Common Divisor in a given array\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\u003eFunction Template:\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[function ans = arraygcd(a)\\n   % a=[45 15 200 300];\\n   5;\\nend]]\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":46096,"title":"LCM","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: 49.96px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 24.98px; transform-origin: 406.5px 24.98px; 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 two numbers, calculate the lcm.\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=\"\"\u003enb. built-in functions are disabled\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = lc_cal(a,b)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(lc_cal(5,6),30))\r\n%%\r\nassert(isequal(lc_cal(65,24843),124215))\r\n%%\r\nassert(isequal(lc_cal(28851538,1183019),1933053046))\r\n%%\r\nassert(isequal(lc_cal(3,9),9))\r\n%%\r\nassert(isequal(lc_cal(1,1),1))\r\n%%\r\nassert(isequal(lc_cal(6236412, 24228),12591315828))\r\n%%\r\nfiletext = fileread('lc_cal.m');\r\nassert(isempty(strfind(filetext, 'gcd')),'gcd() forbidden')\r\nassert(isempty(strfind(filetext, 'lcm')),'lcm() forbidden')\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":24,"test_suite_updated_at":"2020-08-03T02:00:39.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-08-03T01:54:30.000Z","updated_at":"2026-01-03T16:57:05.000Z","published_at":"2020-08-03T02:00:39.000Z","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 two numbers, calculate the lcm.\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\u003enb. built-in functions are disabled\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":59691,"title":"Find the minimum element coprime to the rest in a set of 10 consecutive integers","description":"In this video, Dr Barker argued that a set of 10 consecutive integers must have at least one integer coprime to the rest. For example, in the set 20:29, both 23 and 29 are coprime to the other elements of the set. \r\nThe argument proceeds like this: In a set of 10 consecutive integers, five are even, and five are odd. The even numbers are not coprime because they share a factor of 2 (at least). Of the five odd numbers, at most two will be divisible by 3, one will be divisible by 5, and one will be divisible by 7. Aside from 1, the remaining number will not be divisible by any number less than 10, and if the remaining number is divisible by a number greater than 10, there cannot be another number in the set divisible by the same number. Therefore, at least one of the numbers in the set is coprime to the others. \r\nWrite a function that takes the smallest number in the set and produces the smallest number coprime to the others as well as the number of coprime integers. If the input is 20, then the function should return 23 and 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: 207px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 103.5px; transform-origin: 407px 103.5px; 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: 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: 7.775px 8px; transform-origin: 7.775px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.youtube.com/watch?v=gcU-EB4J6vA\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ethis video\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: 269.15px 8px; transform-origin: 269.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, Dr Barker argued that a set of 10 consecutive integers must have at least one integer \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Coprime_integers\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ecoprime\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: 49.375px 8px; transform-origin: 49.375px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to the rest. For example, in the set 20:29, both 23 and 29 are coprime to the other elements of the set. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 105px; 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 52.5px; text-align: left; transform-origin: 384px 52.5px; 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: 383.9px 8px; transform-origin: 383.9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe argument proceeds like this: In a set of 10 consecutive integers, five are even, and five are odd. The even numbers are not coprime because they share a factor of 2 (at least). Of the five odd numbers, at most two will be divisible by 3, one will be divisible by 5, and one will be divisible by 7. Aside from 1, the remaining number will not be divisible by any number less than 10, and if the remaining number is divisible by a number greater than 10, there cannot be another number in the set divisible by the same number. Therefore, at least one of the numbers in the set is coprime to the others. \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: 378.325px 8px; transform-origin: 378.325px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the smallest number in the set and produces the smallest number coprime to the others as well as the number of coprime integers. If the input is 20, then the function should return 23 and 2. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [y,nc] = minCoprime(n)\r\n  y = n; \r\n  nc = randi(5);\r\nend","test_suite":"%%\r\nn = 1;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 1;\r\nnc_correct = 2;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 2;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 7;\r\nnc_correct = 2;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 20;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 23;\r\nnc_correct = 2;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 20;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 23;\r\nnc_correct = 2;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 100;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 101;\r\nnc_correct = 4;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 658;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 659;\r\nnc_correct = 3;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 2898;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 2899;\r\nnc_correct = 2;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 39574;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 39577;\r\nnc_correct = 3;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 488843;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 488843;\r\nnc_correct = 3;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 5129442;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 5129443;\r\nnc_correct = 3;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 69641285;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 69641287;\r\nnc_correct = 3;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 777444111;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 777444113;\r\nnc_correct = 2;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 8264599137;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 8264599139;\r\nnc_correct = 2;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nn = 90909090909;\r\n[y,nc] = minCoprime(n);\r\ny_correct = 90909090911;\r\nnc_correct = 3;\r\nassert(isequal(y,y_correct))\r\nassert(isequal(nc,nc_correct))\r\n\r\n%%\r\nfor k = 1:10000\r\n    [y(k),nc(k)] = minCoprime(k);\r\nend\r\nh = histc(y,unique(y));\r\ny9 = y(h==9);\r\nsum_correct = 50025620;\r\nsumu_correct = 12622928;\r\nhist_correct = [572 4856 4190 382];\r\nnprime_correct = 5132;\r\ny9_correct = [53 107 163 217 269 319 373 427 479 533 583 641 689 743 797 851 901 959 1007 1061 1117 1169 1219 1273 1327 1381 1433 1487 1537 1591 1643 1697 1751 1807 1859 1909 1961 2017 2069 2123 2173 2227 2279 2333 2389 2441 2491];\r\nassert(isequal(sum(y),sum_correct))\r\nassert(isequal(sum(unique(y)),sumu_correct))\r\nassert(isequal(histcounts(nc,4),hist_correct))\r\nassert(isequal(sum(isprime(y)),nprime_correct))\r\n\r\n%%\r\nfiletext = fileread('minCoprime.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert') || contains(filetext,'regexp'); \r\nassert(~illegal)\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2024-03-10T13:44:13.000Z","deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2024-03-10T13:44:07.000Z","updated_at":"2025-05-10T14:33:51.000Z","published_at":"2024-03-10T13:44:14.000Z","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\u003eIn \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.youtube.com/watch?v=gcU-EB4J6vA\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethis video\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, Dr Barker argued that a set of 10 consecutive integers must have at least one integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Coprime_integers\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecoprime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e to the rest. For example, in the set 20:29, both 23 and 29 are coprime to the other elements of the set. \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 argument proceeds like this: In a set of 10 consecutive integers, five are even, and five are odd. The even numbers are not coprime because they share a factor of 2 (at least). Of the five odd numbers, at most two will be divisible by 3, one will be divisible by 5, and one will be divisible by 7. Aside from 1, the remaining number will not be divisible by any number less than 10, and if the remaining number is divisible by a number greater than 10, there cannot be another number in the set divisible by the same number. Therefore, at least one of the numbers in the set is coprime to the others. \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 takes the smallest number in the set and produces the smallest number coprime to the others as well as the number of coprime integers. If the input is 20, then the function should return 23 and 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":57839,"title":"Easy Sequences 104: One-line Code Challenge - GCDs of Sum of Consecutive Cubes","description":"For a natural number, n, the function CC(n) is defined as follows:\r\n                \r\nIn other words, CC(n) is the sum of cubes of all integers from 1 to n.\r\nGiven positive integers x and y, write a function that calculates the value of gcd(CC(x),CC(y)) . For example:\r\n\u003e\u003e CC = @(n) sum((1:n).^3);\r\n  \u003e\u003e gcdCC = @(x,y) gcd(CC(x),CC(y));\r\n  \u003e\u003e gcdCC(5,10)\r\n        ans = 25\r\nThe 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\nRegular expressions are not allowed.\r\nOnly 'pure' matlab functions/commands are allowed (no java, no python).","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: 372.4px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 186.2px; transform-origin: 407px 186.2px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21.5px; 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 10.75px; text-align: left; transform-origin: 384px 10.75px; 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: 70.5px 8px; transform-origin: 70.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor a natural 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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\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: 43px 8px; transform-origin: 43px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the 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: 20px 8px; transform-origin: 20px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 20px 8.5px; transform-origin: 20px 8.5px; \"\u003eCC(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: 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: 32px 8px; transform-origin: 32px 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: 95.5px; height: 45px;\" width=\"95.5\" height=\"45\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21.5px; 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 10.75px; text-align: left; transform-origin: 384px 10.75px; 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: 48.5px 8px; transform-origin: 48.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn other words, \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: 20px 8px; transform-origin: 20px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 20px 8.5px; transform-origin: 20px 8.5px; \"\u003eCC(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: 125.5px 8px; transform-origin: 125.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the sum of cubes of all integers from \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-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\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: 10px 8px; transform-origin: 10px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e 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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\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: 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: 21.5px; 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 10.75px; text-align: left; transform-origin: 384px 10.75px; 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: 74px 8px; transform-origin: 74px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven positive 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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\u003ex\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\u003ey\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: 140px 8px; transform-origin: 140px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, write a function that calculates the value 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: 64px 8px; transform-origin: 64px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 64px 8.5px; transform-origin: 64px 8.5px; \"\u003egcd(CC(x),CC(y))\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: 47px 8px; transform-origin: 47px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e . For example:\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: 108px 8.5px; tab-size: 4; transform-origin: 108px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e\u0026gt;\u0026gt; CC = @(n) sum((1:n).^3);\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: 148px 8.5px; tab-size: 4; transform-origin: 148px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; gcdCC = @(x,y) gcd(CC(x),CC(y));\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: 64px 8.5px; tab-size: 4; transform-origin: 64px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e  \u0026gt;\u0026gt; gcdCC(5,10)\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: 64px 8.5px; tab-size: 4; transform-origin: 64px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e        ans = 25\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: 99px 8px; transform-origin: 99px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe following restrictions apply:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 103.167px; counter-reset: list-item 0; 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 51.5833px; transform-origin: 391px 51.5833px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20.4333px; counter-reset: none; 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 10.2167px; text-align: left; transform-origin: 363px 10.2167px; 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: 262px 8px; transform-origin: 262px 8px; unicode-bidi: normal; \"\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: 20.9333px; counter-reset: none; 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 10.4667px; text-align: left; transform-origin: 363px 10.4667px; 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: 40.5px 8px; transform-origin: 40.5px 8px; unicode-bidi: normal; \"\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; perspective-origin: 4px 8.5px; transform-origin: 4px 8.5px; \"\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: 125.5px 8px; transform-origin: 125.5px 8px; unicode-bidi: normal; \"\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: 20.9333px; counter-reset: none; 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 10.4667px; text-align: left; transform-origin: 363px 10.4667px; 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: 153px 8px; transform-origin: 153px 8px; unicode-bidi: normal; \"\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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 16px 8.5px; transform-origin: 16px 8.5px; \"\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: 46.5px 8px; transform-origin: 46.5px 8px; unicode-bidi: normal; \"\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: 20.4333px; counter-reset: none; 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 10.2167px; text-align: left; transform-origin: 363px 10.2167px; 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: 116.5px 8px; transform-origin: 116.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eRegular expressions are not allowed.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"background-position-x: 0px; background-position-y: 50%; block-size: 20.4333px; counter-reset: none; 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 10.2167px; text-align: left; transform-origin: 363px 10.2167px; 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: 229px 8px; transform-origin: 229px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eOnly 'pure' matlab functions/commands are allowed (no java, no python).\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function g = gcdCC(x,y)\r\n    g = gcd(sum((1:x).^3),sum((1:y).^3))","test_suite":"%%\r\nx = 5; y = 10;\r\ng_correct = 25;\r\nassert(isequal(gcdCC(x,y),g_correct))\r\n%%\r\nx = 123; y = 1968;\r\ng_correct = 60516;\r\nassert(isequal(gcdCC(x,y),g_correct))\r\n%%\r\nx = [123 456 789]; y = [987 654 321];\r\ns_correct = 18;\r\nassert(isequal(mean(gcdCC(x,y)),s_correct))\r\n%%\r\nx = 2000; y = 7337;\r\ng_correct = 4004001;\r\nassert(isequal(gcdCC(x,y),g_correct))\r\n%%\r\nx = [11111 22222 33333 44444]; y = [66666 77777 88888 99999];\r\ns_correct = 112466886431;\r\nassert(isequal(sum(gcdCC(x,y)),s_correct))\r\n%%\r\nx = primes(100000); y = x * 2 + 1;\r\ns_correct = 7455917221644;\r\nassert(isequal(sum(gcdCC(x,y)),s_correct))\r\n%%\r\nx = 123456789; y = 987654321;\r\ng_correct = 81;\r\nassert(isequal(gcdCC(x,y),g_correct))\r\n%%\r\nx = 1:10000; y = x * 3 - 4;\r\ng = gcdCC(x,y);\r\ns_correct = [87238 174316 261586 349208 435182 522452 610074 697344 783270 870508];\r\nassert(isequal(arrayfun(@(i) sum(g(1:i)),1000:1000:10000),s_correct))\r\nassert(isempty(lastwarn))\r\n%%\r\nx = [234567891 345678912 456789123]; y = [876543219 765432198 654321987];\r\ng = gcdCC(x,y);\r\ns_correct = [175689 135837 -96957];\r\n[sum(g) diff(g)]\r\nassert(isequal([sum(g) diff(g)],s_correct))\r\n%%\r\nfiletext = fileread('gcdCC.m');\r\nnot_allowed = contains(filetext, 'java') || contains(filetext, 'py') || contains(filetext, 'regex') || contains(filetext, 'assignin') || contains(filetext, 'end');\r\nassert(~not_allowed)\r\nc = 0;\r\ndeblank(strtrim(splitlines(filetext)))\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":0,"created_by":255988,"edited_by":255988,"edited_at":"2023-03-28T12:01:13.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-03-27T11:07:50.000Z","updated_at":"2025-04-24T23:46:15.000Z","published_at":"2023-03-28T11:58:31.000Z","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\u003eFor a natural number, \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\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, the 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\u003eCC(n)\u003c/w:t\u003e\u003c/w:r\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\u003eCC(n) = \\\\sum_{i=1}^n i^3\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\u003eIn other words, \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\u003eCC(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e is the sum of cubes of all integers from \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\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to \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\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:t\u003eGiven positive integers \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\u003ex\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:rPr\u003e\u003cw:b/\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, write a function that calculates the value of \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\u003egcd(CC(x),CC(y))\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e . 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 CC = @(n) sum((1:n).^3);\\n  \u003e\u003e gcdCC = @(x,y) gcd(CC(x),CC(y));\\n  \u003e\u003e gcdCC(5,10)\\n        ans = 25]]\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 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\u003eRegular expressions are 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\u003eOnly 'pure' matlab functions/commands are allowed (no java, no python).\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":57675,"title":"Easy Sequences 94: GCD Sums","description":"Given positive integer , write the function gSum(x), that sums all the GCD's of the integer pairs . For example in the Excel screenshot below, it is claro that when , the function should return .\r\n                \r\nPlease limit the cody program size of the function to 150. This problem is not so hard. Good luck!","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: 440px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 220px; transform-origin: 407px 220px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42.5px; 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 21.25px; text-align: left; transform-origin: 384px 21.25px; 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: 81px 8px; transform-origin: 81px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven positive 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);\"\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: 68px 8px; transform-origin: 68px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, write the 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: 28px 8px; transform-origin: 28px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; font-weight: 700; perspective-origin: 28px 8.5px; transform-origin: 28px 8.5px; \"\u003egSum(x)\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: 63.5px 8px; transform-origin: 63.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, that sums all the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/help/matlab/ref/gcd.html\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; text-decoration-line: underline; \"\u003eGCD\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: 77px 8px; transform-origin: 77px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e's of the integer pairs \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 53.5px; height: 18px;\" width=\"53.5\" 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: 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: 15px 8px; transform-origin: 15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e For example in the Excel screenshot below, it is claro that when \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=\"vertical-align:-5px\"\u003e\u003cimg 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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: 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: 358.5px; 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 179.25px; text-align: left; transform-origin: 384px 179.25px; 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=\"\"\u003e                \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 479px;height: 353px\" 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\" data-image-state=\"image-loaded\" width=\"479\" height=\"353\"\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: 49.5px 8px; transform-origin: 49.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ePlease limit the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/content/cody/about.html\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"font-weight: 700; text-decoration-line: underline; \"\u003ecody program size\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: 57px 8px; transform-origin: 57px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the function 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: 12px 8px; transform-origin: 12px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration-line: underline; \"\u003e150\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: 128.5px 8px; transform-origin: 128.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. This problem is not so hard. Good luck!\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = gSum(x)\r\n    s = 0;\r\n    for(n=1; n\u003c=x; n++)\r\n        for(m=1; m\u003c=x; m++)\r\n            s += gcd(n,m);\r\n        end\r\n    end\r\nend","test_suite":"%%\r\nx = 1:20;\r\ns_correct = [1 5 12 24 37 61 80 112 145 189 220 288 325 389 464 544 593 701 756 880];\r\nassert(isequal(gSum(x),s_correct))\r\n%%\r\nx = 5:5:5000;\r\nss_correct = 43583588572;\r\nassert(isequal(sum(gSum(x)),ss_correct))\r\n%%\r\nx = [100 1000 10000];\r\ns_correct = [31080 4449880 584509280];\r\nassert(isequal(gSum(x),s_correct))\r\n%%\r\nx = [123 1234 12345 123456];\r\ns_correct = [48284 6965461 910094057 112354238520];\r\nassert(isequal(gSum(x),s_correct))\r\n%%\r\nx = 100000:200000;\r\ns = gSum(x);\r\nss_correct = [72434344904 72435008505 72436765293 72437065300 306577364877 306582686325 306583286320 306591086320 175521614894 168526328264 72434344904 67845974433];\r\nassert(isequal(floor([s(1:4) s(end-3:end) mean(s) median(s) mode(s) std(s)]),ss_correct))\r\n%%\r\nx = [111111 222222 333333 444444 555555 666666];\r\ns_correct = [90218070888 381674926949 886164224973 1609919275672 2557386868212 3731906283933];\r\nassert(isequal(gSum(x),s_correct))\r\n%%\r\nfiletext = fileread('gSum.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'regexp') || contains(filetext, 'eval') || contains(filetext, 'assignin');\r\nassert(~not_allowed)\r\nassert(mtree(filetext).count\u003c=150)","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":255988,"edited_by":255988,"edited_at":"2023-02-09T12:02:34.000Z","deleted_by":null,"deleted_at":null,"solvers_count":3,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-02-08T11:20:15.000Z","updated_at":"2025-11-23T05:52:55.000Z","published_at":"2023-02-09T12:00:10.000Z","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\u003eGiven positive 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\u003ex\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 the 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\u003egSum(x)\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 sums all the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/help/matlab/ref/gcd.html\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGCD\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's of the integer pairs \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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,m \\\\le x\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 in the Excel screenshot below, it is claro that when \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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=20\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\u003e880\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\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"353\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"479\\\"/\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\u003ePlease limit the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/content/cody/about.html\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecody program size\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e of the function to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e150\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. This problem is not so hard. Good 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