{"group":{"group":{"id":36250,"name":"Easy Sequences Volume IV","lockable":false,"created_at":"2022-01-03T04:00:14.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Collection of math challenges. Not necessarily easy and not necessarily about sequences...","is_default":false,"created_by":255988,"badge_id":62,"featured":false,"trending":false,"solution_count_in_trending_period":1,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":2755,"published":true,"community_created":true,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"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\u003eCollection of math challenges. Not necessarily easy and not necessarily about sequences...\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\"}]}","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 289.5px 21px; transform-origin: 289.5px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 266.5px 21px; text-align: left; transform-origin: 266.5px 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: 247px 8px; transform-origin: 247px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCollection of math challenges. Not necessarily easy and not necessarily about sequences...\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","published_at":"2022-01-03T04:15:10.000Z"},"current_player":null},"problems":[{"id":52634,"title":"Easy Sequences 14: Consecutive Composites","description":"Generating a given number of consecutive numbers all of which are composites is easy. For example the following is a sequence of 100 consecutive composite numbers:\r\n           \r\nThese numbers are huge. The first number of the sequence is around 9.4259 × 10 ^ 159. A smaller solution can be found by using \"primorials\" instead of factorials. Primorial is the product of all primes less than or equal to a given number. If we use primorials the first number is reduced to:\r\n   \u003e\u003e prod(primes(101)) + 2\r\n   \u003e\u003e ans =\r\n   2.3286e+38\r\nAlthough, this is a significant size reduction, the smallest possible 100 consecutive composites series, is still way less than that.  The smallest 100 consecutive composites series,starts with 370262, that is:\r\n            \r\nif we define the set 'C' as the smallest consecutive 'n' composite numbers, the function 'f(n)' as the smallest element in 'C', and 'F' is the set that contains all f(x)'s for x = 1,2,3...n, write the function S(n), which is the sum of all elements of F.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 347px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eGenerating a given number of consecutive numbers all of which are composites is easy. For example the following is a sequence of 100 consecutive composite numbers:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e           \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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a5QsQ5bjoROL/5pWs3NlxygfiKYBXKjTaBswpwBpG8Oiumn6yvKsr5T1WHn5qnNk+ZashrcHOLh2A3byrlG/4M/RxHKgyjv/+q1rdgtNjCc3CzyKP6nZrmusddx8cYzydUtTyMZoUyIx0I4m9pWBFtqVeSDFA9z5nw+8CuQdz6ZUNVZDPTABdvEI/0Yg7YPBhpptZmV4wMZohmOMbR4wD1T3wDdQtQ+I9TFjdUusZiwP8Mj6PIAfDBm13wM2RtsfQ7sD80DjPMBjfr4HNxo8HugZPLdidwIP2Bi1bmAeMA+YB8wD5gHzgHnAPGAeMA+YB8wD5gHzgHnAPGAeMA+YB8wD5gHzgHnAPGAeMA+YB8wD5gHzgHnAPFCLB/4PDWyC2Bzs1qwAAAAASUVORK5CYII=\" width=\"255.5\" height=\"18\" style=\"width: 255.5px; height: 18px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThese numbers are huge. The first number of the sequence is around 9.4259 × 10 ^ 159. A smaller solution can be found by using \"primorials\" instead of factorials. Primorial is the product of all primes less than or equal to a given number. If we use primorials the first number is reduced to:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 60px; border-bottom-left-radius: 4px; border-bottom-right-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; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; tab-size: 4; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e   \u0026gt;\u0026gt; prod(primes(101)) + 2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; tab-size: 4; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e   \u0026gt;\u0026gt; ans =\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20px; border-bottom-left-radius: 0px; border-bottom-right-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-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; tab-size: 4; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e   2.3286e+38\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; text-align: left; 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; \"\u003e\u003cspan style=\"\"\u003eAlthough, this is a significant size reduction, the smallest possible 100 consecutive composites series, is still way less than that.  The smallest 100 consecutive composites series,starts with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003e370262, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003ethat is:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"219.5\" height=\"18\" style=\"width: 219.5px; height: 18px;\"\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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eif we define the set 'C' as the smallest consecutive 'n' composite numbers, the function 'f(n)' as the smallest element in 'C', and 'F' is the set that contains all f(x)'s for x = 1,2,3...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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003ewrite the function S(n), which is the sum of all elements of F\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = S(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 1;\r\ns_correct = '4';\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 10;\r\ns_correct = '590';\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 50;\r\ns_correct = '304846';\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 100;\r\ns_correct = '8593174';\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 200;\r\ns_correct = '978937328';\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 500;\r\ns_correct = '11726102733846';\r\nassert(isequal(S(n),s_correct))\r\n%%\r\nn = 1000;\r\ns_correct = '182776491689961740';\r\nassert(isequal(S(n),s_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":"2021-09-05T10:56:25.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-08-26T12:01:39.000Z","updated_at":"2025-12-07T19:38:06.000Z","published_at":"2021-09-05T10:56:25.000Z","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\u003eGenerating a given number of consecutive numbers all of which are composites is easy. For example the following is a sequence of 100 consecutive composite 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\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\u003e101!+2, 100!+3, 101!+4, ... 101!+101\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\u003eThese numbers are huge. The first number of the sequence is around 9.4259 × 10 ^ 159. A smaller solution can be found by using \\\"primorials\\\" instead of factorials. Primorial is the product of all primes less than or equal to a given number. If we use primorials the first number is reduced to:\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 prod(primes(101)) + 2\\n   \u003e\u003e ans =\\n   2.3286e+38]]\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\u003eAlthough, this is a significant size reduction, the smallest possible 100 consecutive composites series, is still way less than that.  The smallest 100 consecutive composites series,starts with \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\u003e370262, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ethat is:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e370262, 370263, 370264, ... , 370361\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\u003eif we define the set 'C' as the smallest consecutive 'n' composite numbers, the function 'f(n)' as the smallest element in 'C', and 'F' is the set that contains all f(x)'s for x = 1,2,3...n, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ewrite the function S(n), which is the sum of all elements of F\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52659,"title":"Easy Sequences 15: Pythagorean Area with maximum Hypotenuse","description":"A pythagorean triangle is defined as a right triangle with all three sides having integer lengths. Examples of pythogorean triangles are [3 4 5], [6 8 10] and [5 12 13].\r\nFor a given a limit 'n', 2 vectors are produced: 'A' and 'H', 'A' contains all unique areas of pythagorean triangles, less than or equal to 'n', while 'H' contains the largest possible hypotenuse for  each area in 'A'. Write a function with 2 outputs , 'a' and 'h', which are sums of the elements of 'A' and 'H', respectively.\r\nFor example for n = 100, the produced vectors are:  A = [6; 24; 30; 54; 60; 84; 96]  and B = [5;10; 13; 15; 17; 25; 20].\r\nTherefore, the output shall be: [a h] = [354 105].\r\nNOTE: Please check this link for reference: https://oeis.org/A009112.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 204px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eA pythagorean triangle is defined as a right triangle with all three sides having integer lengths. Examples of pythogorean triangles are [3 4 5], [6 8 10] and [5 12 13].\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eFor a given a limit 'n', 2 vectors are produced: 'A' and 'H', 'A' contains all unique areas of pythagorean triangles, less than or equal to 'n', while 'H' contains the largest possible hypotenuse for  each area in 'A'. \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eWrite a function with 2 outputs , 'a' and 'h', which are sums of the elements of 'A' and 'H', respectively.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eFor example for n = 100, the produced vectors are:  A = [6; 24; 30; 54; 60; 84; 96]  and B = [5;10; 13; 15; 17; 25; 20].\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eTherefore, the output shall be: [a h] = [354 105].\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eNOTE: Please check this link for reference: \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://oeis.org/A009112\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ehttps://oeis.org/A009112\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function [a h] = pythHypos(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 100;\r\n[a h] = pythHypos(n);\r\ny_correct = 459;\r\nassert(isequal(a+h,y_correct))\r\n%%\r\nn = 1000;\r\n[a h] = pythHypos(n);\r\ny_correct = 23155200;\r\nassert(isequal(a*h,y_correct))\r\n%%\r\nn = 10000;\r\n[a h] = pythHypos(n);\r\ny_correct = 558830;\r\nassert(isequal(a-h,y_correct))\r\n%%\r\nns = 1:150;\r\ny = round(std(arrayfun(@(n) pythHypos(n),ns)),3);\r\ny_correct = 174.988;\r\nassert(isequal(y,y_correct))\r\n%%\r\nn = round(double(intmax)/2);\r\n[a h] = pythHypos(n);\r\ny_correct = 10228914384;\r\nassert(isequal(round(h+a/h),y_correct))","published":true,"deleted":false,"likes_count":2,"comments_count":13,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":"2021-09-09T13:10:30.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-05T11:17:40.000Z","updated_at":"2026-02-06T14:19:14.000Z","published_at":"2021-09-08T19:47:52.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA pythagorean triangle is defined as a right triangle with all three sides having integer lengths. Examples of pythogorean triangles are [3 4 5], [6 8 10] and [5 12 13].\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor a given a limit 'n', 2 vectors are produced: 'A' and 'H', 'A' contains all unique areas of pythagorean triangles, less than or equal to 'n', while 'H' contains the largest possible hypotenuse for  each area in 'A'. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eWrite a function with 2 outputs , 'a' and 'h', which are sums of the elements of 'A' and 'H', respectively.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example for n = 100, the produced vectors are:  A = [6; 24; 30; 54; 60; 84; 96]  and B = [5;10; 13; 15; 17; 25; 20].\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eTherefore, the output shall be: [a h] = [354 105].\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\u003eNOTE: Please check this link for reference: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://oeis.org/A009112\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttps://oeis.org/A009112\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52684,"title":"Easy Sequences 17: Mu Variant Function","description":"The mobius function is an important arithmetic function. It is often represented by the Greek letter mu (μ), and is sometimes called the \"mu function\".\r\nIn this excercise, we are concerned with a simplified variant of  the mobius function called 'muVar'. For a given positive integer 'n', 'muVar(n)' is defined as:\r\nequal to 2, if 'n' has at least 1 perfect square divisor greater than 1; or\r\nequal to 1, otherwise.\r\nFor example, the values of muVar for 1, 10, 20, 30 and 100 are 1, 1, 2, 1 and 2, respectively. \r\nOur task is to create the function 'muVarSum(n)', which is the sum of the outputs of 'muVar' function applied from 1 to n.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 214px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/M%C3%B6bius_function\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003emobius function \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eis an important arithmetic function. It is often represented by the Greek letter mu (μ), and is sometimes called the \"mu function\".\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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eIn this excercise, we are concerned with a simplified variant of  the mobius function called 'muVar'. For a given positive integer 'n', 'muVar(n)' is defined as:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 40px; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; text-align: left; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; \"\u003e\u003cspan style=\"\"\u003eequal to 2, if 'n' \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003ehas\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; \"\u003e\u003cspan style=\"\"\u003e at least 1 perfect square divisor greater than 1; or\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20px; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; text-align: left; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; \"\u003e\u003cspan style=\"\"\u003eequal to 1, otherwise.\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eFor example, the values of muVar for 1, 10, 20, 30 and 100 are 1, 1, 2, 1 and 2, respectively. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eOur task is to create the function 'muVarSum(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; \"\u003e\u003cspan style=\"\"\u003e, which is the sum of the outputs of 'muVar' function applied from 1 to n.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function m = muVarSum(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 100;\r\nm_correct = 139;\r\nassert(isequal(muVarSum(n),m_correct))\r\n%%\r\nn = 20000;\r\nm_correct = 27840;\r\nassert(isequal(muVarSum(n),m_correct))\r\n%%\r\nn = 3000000;\r\nm_correct = 4176227;\r\nassert(isequal(muVarSum(n),m_correct))\r\n%%\r\nn = 400000000;\r\nm_correct = 556829095;\r\nassert(isequal(muVarSum(n),m_correct))\r\n%%\r\nn = 50000000000;\r\nm_correct = 69603644993;\r\nassert(isequal(muVarSum(n),m_correct))\r\n%%\r\nn = 6000000000000;\r\nm_correct = 8352437388097;\r\nassert(isequal(muVarSum(n),m_correct))\r\n%%\r\nns = 1000:2000;\r\nms_correct = 2088748;\r\nassert(isequal(sum(arrayfun(@(n) muVarSum(n),ns)),ms_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-10T17:27:28.000Z","updated_at":"2026-02-24T11:46:04.000Z","published_at":"2021-09-10T18:08:12.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Möbius_function\\\"\u003e\u003cw:r\u003e\u003cw:t\u003emobius function \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003eis an important arithmetic function. It is often represented by the Greek letter mu (μ), and is sometimes called the \\\"mu function\\\".\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn this excercise, we are concerned with a simplified variant of  the mobius function called 'muVar'. For a given positive integer 'n', 'muVar(n)' is defined as:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"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\u003eequal to 2, if 'n' \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ehas\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e at least 1 perfect square divisor greater than 1; or\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\u003eequal to 1, otherwise.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, the values of muVar for 1, 10, 20, 30 and 100 are 1, 1, 2, 1 and 2, respectively. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eOur task is to create the function 'muVarSum(n)'\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, which is the sum of the outputs of 'muVar' function applied from 1 to n.\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":52709,"title":"Easy Sequences 19: Length of Prime-sided Rectangle with Maximum Area","description":"A prime-sided rectangle is a rectangle having sides represented by prime numbers. The figure below shows all the possible prime-sided rectangles whose areas are less than or equal to 25:\r\n                                       \r\nGiven an area limit 'n', find the length (i.e. the longer side if sides are unequal) of the prime-sided rectangle, with the largest area less than or equal to 'n'. \r\nIn the figure above the rectangle with the maximum area is the 5x5 square. Therefore for n = 25 the output should be 5. For n = 100, the output should be 19, since 19 x 5 = 95 \u003c 100. No other combination of prime sides will produce an area greater than 95 for area \u003c= 100.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 492px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eA prime-sided rectangle is a rectangle having sides represented by prime numbers. The figure below shows all the possible prime-sided rectangles whose areas are less than or equal to 25:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 318px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                                       \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"390\" height=\"312\" style=\"vertical-align: baseline;width: 390px;height: 312px\" 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\" data-image-state=\"image-loaded\"\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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven an \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; text-decoration: underline; text-decoration-line: underline; \"\u003earea limit\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e 'n', find the length\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e (i.e. the longer side if sides are unequal) \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eof the prime-sided rectangle, with the largest area less than or equal to 'n'. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eIn the figure above the rectangle with the maximum area is the 5x5 square. Therefore for n = 25 the output should be 5. For n = 100, the output should be 19, since 19 x 5 = 95 \u0026lt; 100. No other combination of prime sides will produce an area greater than 95 for area \u0026lt;= 100.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function length = maxPrimeRec(n)\r\n    l \u003e= w; % l is the larger side\r\n    isprime(l) == 1; isprime(w) == 1; % both sides are primes\r\n    l*w \u003c= n; % area should be less than or equal to n\r\n    length = 'l such that l*w is the largest area possible';\r\nend","test_suite":"%%\r\nn = 25;\r\nl_correct = 5;\r\nassert(isequal(maxPrimeRec(n),l_correct))\r\n%%\r\nn = 100;\r\nl_correct = 19;\r\nassert(isequal(maxPrimeRec(n),l_correct))\r\n%%\r\nns = 1000:10000;\r\nls = arrayfun(@(n) maxPrimeRec(n),ns);\r\nys = [sum(ls) ls(7500:7529)];\r\nys_correct = [10870381 2833 2833 2833 2833 773 773 773 4253 181 181 127 127 2837 2837 ... \r\n    2837 2837 2837 2837 2837 4259 1217 1217 1217 4261 4261 4261 4261 4261 4261 4261];\r\nassert(isequal(ys,ys_correct))\r\n%%\r\nn = 1000000;\r\nl_correct = 1321;\r\nassert(isequal(maxPrimeRec(n),l_correct))\r\n%%\r\nn = 100000000;\r\nl_correct = 77101;\r\nassert(isequal(maxPrimeRec(n),l_correct))\r\n%%\r\nn = double(intmax);\r\nl_correct = 715827881;\r\nassert(isequal(maxPrimeRec(n),l_correct))\r\n%%\r\nn = double(intmax)*109 - 1000000009;\r\nl_correct = 7574033;\r\nassert(isequal(maxPrimeRec(n),l_correct))\r\n%%\r\nn = double(intmax)*109 + 1000000009;\r\nl_correct = 2156657959;\r\nassert(isequal(maxPrimeRec(n),l_correct))\r\n%%\r\nn = double(intmax-1)*1111;\r\nl_correct = 9920021;\r\nassert(isequal(maxPrimeRec(n),l_correct))\r\n%%\r\nfiletext = fileread('maxPrimeRec.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":"2021-09-15T07:53:30.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-14T21:01:26.000Z","updated_at":"2026-02-24T12:09:19.000Z","published_at":"2021-09-15T07:53:30.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA prime-sided rectangle is a rectangle having sides represented by prime numbers. The figure below shows all the possible prime-sided rectangles whose areas are less than or equal to 25:\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=\\\"312\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"390\\\"/\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven an \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\u003earea limit\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 'n', find the length\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e (i.e. the longer side if sides are unequal) \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eof the prime-sided rectangle, with the largest area less than or equal to 'n'. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn the figure above the rectangle with the maximum area is the 5x5 square. Therefore for n = 25 the output should be 5. For n = 100, the output should be 19, since 19 x 5 = 95 \u0026lt; 100. No other combination of prime sides will produce an area greater than 95 for area \u0026lt;= 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52724,"title":"Easy Sequences 20: Counting Prime-sided Rectangles","description":"A prime-sided rectangle is a rectangle having sides represented by prime numbers. The figure below shows all the possible prime-sided rectangles whose areas are less than or equal to 25:\r\n                                       \r\nGiven an area limit 'n', count the total number of prime-sided rectangles that can be formed , with areas less than or equal to 'n'. \r\nIn the figure above, we can see that there are only 9 prime-sided recatangles having areas are less than or equal to 25. Therefore, for n = 25 the output should be 9. For n = 100, there are 34 such rectangles.\r\nNOTE: Rotations are not important and are counted only once.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 501px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eA prime-sided rectangle is a rectangle having sides represented by prime numbers. The figure below shows all the possible prime-sided rectangles whose areas are less than or equal to 25:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 318px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                                       \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"390\" height=\"312\" style=\"vertical-align: baseline;width: 390px;height: 312px\" 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\" data-image-state=\"image-loaded\"\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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven an \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; text-decoration: underline; text-decoration-line: underline; \"\u003earea limit\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e 'n', count the total number of prime-sided rectangles that can be formed , with areas less than or equal to 'n'. \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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eIn the figure above, we can see that there are only 9 prime-sided recatangles having areas are less than or equal to 25. Therefore, for n = 25 the output should be 9. For n = 100, there are 34 such rectangles.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eNOTE: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eRotations are not important and are counted only once.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function c = countPrimeRecs(n)\r\n    y = x;\r\nend","test_suite":"%%\r\nn = 25;\r\nc_correct = 9;\r\nassert(isequal(countPrimeRecs(n),c_correct))\r\n%%\r\nn = 100;\r\nc_correct = 34;\r\nassert(isequal(countPrimeRecs(n),c_correct))\r\n%%\r\nn = 1000;\r\nc_correct = 299;\r\nassert(isequal(countPrimeRecs(n),c_correct))\r\n%%\r\nns = 1000:10000;\r\ncs = arrayfun(@(n) countPrimeRecs(n),ns);\r\ncs_test = [sum(cs) cs(7500:7529)];\r\ncs_correct = [13362869 2265 2265 2265 2265 2266 2266 2266 2267 2268 2268 2269 2269 2270 ... \r\n    2270 2270 2270 2270 2270 2270 2271 2272 2272 2272 2273 2273 2273 2273 2273 2273 2273];\r\nassert(isequal(cs_test,cs_correct))\r\n%%\r\nn = 1000000;\r\nc_correct = 210035;\r\nassert(isequal(countPrimeRecs(n),c_correct))\r\n%%\r\nn = 100000000;\r\nc_correct = 17427258;\r\nassert(isequal(countPrimeRecs(n),c_correct))\r\n%%\r\nns = 100000000:20000000:400000000;\r\ncs_test = sum(arrayfun(@(n) countPrimeRecs(n),ns));\r\ncs_correct = 672921184;\r\nassert(isequal(cs_test,cs_correct))\r\n%%\r\nfiletext = fileread('countPrimeRecs.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":2,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":"2021-09-18T07:48:04.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-17T13:11:18.000Z","updated_at":"2026-02-24T13:03:08.000Z","published_at":"2021-09-17T19:33:46.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA prime-sided rectangle is a rectangle having sides represented by prime numbers. The figure below shows all the possible prime-sided rectangles whose areas are less than or equal to 25:\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=\\\"312\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"390\\\"/\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven an \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\u003earea limit\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 'n', count the total number of prime-sided rectangles that can be formed , with areas less than or equal to 'n'. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn the figure above, we can see that there are only 9 prime-sided recatangles having areas are less than or equal to 25. Therefore, for n = 25 the output should be 9. For n = 100, there are 34 such rectangles.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eRotations are not important and are counted only 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52769,"title":"Easy Sequences 22: Sum of Proper Fractions","description":"Let 'F' be the set of all proper fractions in lowest term, whose denominator is less than or equal 'd'. So, for d = 10, we have:\r\n            \r\nNote that '2/4' and '3/9' are not included because they are not in their lowest term, while '7/7' and '8/5' are not included because they are not proper fractions.\r\nWrite a function 'S(d)', which is the integer part of the sum of 'F(d)'.  For the case above, the sum of elements of 'F(10)' is exactly '15.5'. Therefore S(10) = 15.","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: 188px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 94px; transform-origin: 407px 94px; 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: 368.5px 8px; transform-origin: 368.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eLet 'F' be the set of all proper fractions in lowest term, whose denominator is less than or equal 'd'. So, for d = 10, we have:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35px; 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 17.5px; text-align: left; transform-origin: 384px 17.5px; 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: 24px 8px; transform-origin: 24px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg 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\" style=\"width: 604px; height: 35px;\" width=\"604\" height=\"35\"\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: 374px 8px; transform-origin: 374px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNote that '2/4' and '3/9' are not included because they are not in their lowest term, while '7/7' and '8/5' are not included because they are not proper fractions.\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: 233px 8px; transform-origin: 233px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eWrite a function 'S(d)', which is the integer part of the sum of 'F(d)'.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 143px 8px; transform-origin: 143px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e  For the case above, the sum of elements of 'F(10)' is exactly '15.5'. Therefore S(10) = 15.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = S(d)\r\n    s = 3 * d / 2;\r\nend","test_suite":"%%\r\nd = 10;\r\ns_correct = 15;\r\nassert(isequal(S(d),s_correct))\r\n%%\r\nd = 100;\r\ns_correct = 1521;\r\nassert(isequal(S(d),s_correct))\r\n%%\r\nd = 1000;\r\ns_correct = 152095;\r\nassert(isequal(S(d),s_correct))\r\n%%\r\nds = 5000:6000;\r\nss = arrayfun(@(d) S(d),ds);\r\nss_correct = [4615589652 3800228 4110070 4432160 4766830 5112729 5471581];\r\nassert(isequal([sum(ss) ss(1:200:end)],ss_correct))\r\n%%\r\nd = 30000;\r\ns_correct = 136785886;\r\nassert(isequal(S(d),s_correct))\r\n%%\r\nd = 200000;\r\ns_correct = 6079299458;\r\nassert(isequal(S(d),s_correct))\r\n%%\r\nds = 500000:100000:700000;\r\nss = arrayfun(@(d) S(d),ds);\r\nss_correct = 167180102966;\r\nassert(isequal(sum(ss),ss_correct))\r\n%%\r\nd = 1000000;\r\ns_correct = 151981776195;\r\nassert(isequal(S(d),s_correct))\r\n%%\r\nfiletext = fileread('S.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-21T08:43:41.000Z","updated_at":"2026-02-24T15:23:40.000Z","published_at":"2021-09-21T12:47:34.000Z","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\u003eLet 'F' be the set of all proper fractions in lowest term, whose denominator is less than or equal 'd'. So, for d = 10, we have:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eF(10)=\\\\left \\\\{ \\\\frac{1}{2},\\\\frac{1}{3},\\\\frac{1}{4},\\\\frac{1}{5},\\\\frac{1}{6},\\\\frac{1}{7},\\\\frac{1}{8},\\\\frac{1}{9},\\\\frac{1}{10},\\\\frac{2}{3},\\\\frac{2}{5},\\\\frac{2}{7},\\\\frac{2}{9},\\\\frac{3}{4},\\\\frac{3}{5},\\\\frac{3}{7},\\\\frac{3}{8},\\\\frac{3}{10},\\\\frac{4}{5},\\\\frac{4}{7},\\\\frac{4}{9},\\\\frac{5}{6},\\\\frac{5}{7},\\\\frac{5}{8},\\\\frac{5}{9},\\\\frac{6}{7},\\\\frac{7}{8},\\\\frac{7}{9},\\\\frac{7}{10},\\\\frac{8}{9},\\\\frac{9}{10}  \\\\right \\\\} \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\u003eNote that '2/4' and '3/9' are not included because they are not in their lowest term, while '7/7' and '8/5' are not included because they are not proper fractions.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eWrite a function 'S(d)', which is the integer part of the sum of 'F(d)'.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e  For the case above, the sum of elements of 'F(10)' is exactly '15.5'. Therefore S(10) = 15.\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":52804,"title":"Easy Sequences 29: Odd proper divisors of odd proper divisors","description":"The number  is special. It has odd number of proper divisors:  . Furthermore, if you take any of its proper divisors, say , it too has odd number of proper divisors: . The numbers  and , have similar property as . \r\nGiven a limit , find how many integers , have similar property as 210, namely, the integers should have odd number of proper divisors and all its proper divisors have odd number of proper divisors, as well. \r\nThe number , does not qualify because it has even proper divisors,  in total  . The number  also doesn't qualify because although it has proper divisors, some of its divisor, like , have even number of proper divisors. \r\nNOTE: A proper divisor of a number, is a divisor which is less than the number. Exception to this rule is the number , which is considered a proper divisor of itself.","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: 237px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 118.5px; transform-origin: 407px 118.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.5px 8px; transform-origin: 40.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 155px 8px; transform-origin: 155px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is special. It has odd number of proper divisors:  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 288.5px; height: 18.5px;\" width=\"288.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Furthermore, if you take \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 11.5px 8px; transform-origin: 11.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003eany\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83px 8px; transform-origin: 83px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of its proper divisors, say \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 134px 8px; transform-origin: 134px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, it too has odd number of proper divisors: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 126px; height: 18.5px;\" width=\"126\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA+klEQVRYhe2WTQ2EMBBGn4c6wAAGVgEKcICDdbAW0FAJeMBCNWBh99CS8NPpEqYQDn3JXAjvS5uZQqFQKDyDV6j6ZneFAXrgu6kJ6C50o1RB3gYu63OBKzIADmgXz2r2u24yu1Ea/A6lnr8XoTajK2JJ99mwnolcrkiPn4MUgxCqcVXMocPNrogLoWeOsMaNUoVAx//25HRF5pNyZocaN4rBD+OZ/mtcEQuMIfxON0qH7/2Zn6TGjdIqAjXu8xfTHAisiR9hjSu+POEvVxIGP6jbUI2bXMyI/3ZI5dgfY42bXEzqgiXdazSuiA0rP1KW9XdF4xYKhUIhxg+zAZ+7e7/gtwAAAABJRU5ErkJggg==\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 33px; height: 18px;\" width=\"33\" 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: 81.5px 8px; transform-origin: 81.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, have similar property as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 45.5px 8px; transform-origin: 45.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven a limit \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87.5px 8px; transform-origin: 87.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, find how many integers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25px; height: 18px;\" width=\"25\" 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: 123.5px 8px; transform-origin: 123.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, have similar property as 210, namely, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 106px 8px; transform-origin: 106px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003ethe integers should have odd number of proper divisors 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: 8px 8px; transform-origin: 8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eall\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 196.5px 8px; transform-origin: 196.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e its proper divisors have odd number of proper divisors\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29px 8px; transform-origin: 29px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, as well. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.5px 8px; transform-origin: 40.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 172.5px 8px; transform-origin: 172.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, does not qualify because it has even proper divisors, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e8\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 27px 8px; transform-origin: 27px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in total  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 147.5px; height: 18.5px;\" width=\"147.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44.5px 8px; transform-origin: 44.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25.5px; height: 18px;\" width=\"25.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 142px 8px; transform-origin: 142px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e also doesn't qualify because although it has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAAdklEQVRYhe2OwQmAMBAEp4d0kAbsw0bsIB3YQmqxB1uwF/0YCHiPyGEU3IHjXrMMCCG+RQTCC645loEdGDq6F0I1Vq511OOajEA6/3pz1OM2kRyjHldBClKQghSkIAX9MigCWzWaOrnm2AwsxmVgesgVQghRcwBVnXRb64UZ7QAAAABJRU5ErkJggg==\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 123.5px 8px; transform-origin: 123.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eproper divisors, some of its divisor, like \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 73px 8px; transform-origin: 73px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, have even number of proper divisors. \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: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNOTE:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 340px 8px; transform-origin: 340px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e A proper divisor of a number, is a divisor which is less than the number. Exception to this rule is the number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e1\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, which is considered a proper divisor of itself.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = oddDivs(n)\r\n  s = n;\r\nend","test_suite":"%%\r\nn = 100;\r\ns_correct = 61;\r\nassert(isequal(oddDivs(n),s_correct))\r\n%%\r\nn = 100000;\r\ns_correct = 60794;\r\nassert(isequal(oddDivs(n),s_correct))\r\n%%\r\nns = 10000:50000;\r\nss = arrayfun(@(n) oddDivs(n),ns);\r\nss_correct = [729580926 12160 15197 18242 21278 24310 27360 30401 7020];\r\nassert(isequal([sum(ss) ss(10000:5000:40000) floor(std(ss))],ss_correct))\r\n%%\r\nn = 123456789;\r\ns_correct = 75052724;\r\nassert(isequal(oddDivs(n),s_correct))\r\n%%\r\nn = intmax;\r\ns_correct = 1305513583;\r\nassert(isequal(oddDivs(n),s_correct))\r\n%%\r\nn = double(intmax)*10;\r\ns_correct = 13055135057;\r\nassert(isequal(oddDivs(n),s_correct))\r\n%%\r\nn = double(intmax)*200;\r\ns_correct = 261102702413;\r\nassert(isequal(oddDivs(n),s_correct))\r\n%%\r\nfiletext = fileread('oddDivs.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-27T04:54:26.000Z","updated_at":"2026-02-24T15:31:17.000Z","published_at":"2021-09-27T12:53:18.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e210\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is special. It has odd number of proper divisors:  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[1,2,3,5,6,7,10,14,15,21,30,35,42,70,105]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Furthermore, if you take \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eany\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e of its proper divisors, say \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e70\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, it too has odd number of proper divisors: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[1,2,5,7,10,14,35]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The numbers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e22\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e5187\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, have similar property as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e210\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a limit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, find how many integers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\leq n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, have similar property as 210, namely, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ethe integers should have odd number of proper divisors and \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\u003eall\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e its proper divisors have odd number of proper divisors\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e, as well. \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 number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, does not qualify because it has even proper divisors, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in total  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e[1,2,4,5,10,20,25,50]\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e108\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e also doesn't qualify because although it has \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e11\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eproper divisors, some of its divisor, like \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e36\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, have even number of proper divisors. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e A proper divisor of a number, is a divisor which is less than the number. Exception to this rule is the number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, which is considered a proper divisor of itself.\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":52859,"title":"Easy Sequences 35: Cutting a donut to Semi-prime pieces","description":"The figure below illustrates how a torus (donut shape) can be cut in  pieces with only  cuts:\r\n                                                \r\nIn fact,  is the maximum number of pieces a torus can be sliced with  cuts.\r\nWikipedia's article on Torus, gives an amazing formula for calculating the maximum number of pieces using  number of cuts on a single Torus:\r\n                                                                                \r\nTherefore for : .\r\nGiven a cutting limit , write a function to find all positive integers , such that  is a semi-prime. A semi-prime is a positive integer that has only  and exactly  prime factors. A few example of semi-primes are: .\r\nAs an example for , the only semi-prime 's are  and , therefore the function output should be .","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: 562.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 281.25px; transform-origin: 407px 281.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 214px 8px; transform-origin: 214px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe figure below illustrates how a torus (donut shape) can be cut in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABHklEQVRYhe2WWw3DMAxFD4cwKIESKIIiGIMxKINSKIZCCIdSGIZS2D5iqw9tfSRWVWm5Un4ixzlxEtuQlZV1LxWAO7mmBCpZawrSAW/ZYE9O7EdZo+MlcNFSx3One0AOGASmBRqgX/mIgqrFWS0bHAXycoj11ZZMEfMxQHM1B4EqQjR+SaM9XgVUs/141c9wFdCeNELPOwA5wlV5zqcOcyD9eb0FTAqQAx4s85HHIEnGAOmP8yxzkP6yJCiLN7SO1FZ6uAQIQlQUaiThPVkBQSgnyb4sgaq7AiWVD0ugh/hp7wLkCX1Rkp+jQPpgfzViWsvqFJhCNlCgZsN23cx5sW+YSkd0ZArCif2X0fG9YjuZn9u2MmfaU2dlZWX9jT5uooJ0ozaDuAAAAABJRU5ErkJggg==\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e pieces with only \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e3\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17px 8px; transform-origin: 17px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e cuts:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 253.5px; 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 126.75px; text-align: left; transform-origin: 384px 126.75px; 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: 96px 8px; transform-origin: 96px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 339px;height: 248px\" 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\" data-image-state=\"image-loaded\" width=\"339\" height=\"248\"\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: 23px 8px; transform-origin: 23px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn fact, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABHklEQVRYhe2WWw3DMAxFD4cwKIESKIIiGIMxKINSKIZCCIdSGIZS2D5iqw9tfSRWVWm5Un4ixzlxEtuQlZV1LxWAO7mmBCpZawrSAW/ZYE9O7EdZo+MlcNFSx3One0AOGASmBRqgX/mIgqrFWS0bHAXycoj11ZZMEfMxQHM1B4EqQjR+SaM9XgVUs/141c9wFdCeNELPOwA5wlV5zqcOcyD9eb0FTAqQAx4s85HHIEnGAOmP8yxzkP6yJCiLN7SO1FZ6uAQIQlQUaiThPVkBQSgnyb4sgaq7AiWVD0ugh/hp7wLkCX1Rkp+jQPpgfzViWsvqFJhCNlCgZsN23cx5sW+YSkd0ZArCif2X0fG9YjuZn9u2MmfaU2dlZWX9jT5uooJ0ozaDuAAAAABJRU5ErkJggg==\" style=\"width: 18px; height: 18px;\" width=\"18\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 190px 8px; transform-origin: 190px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the maximum number of pieces a torus can be sliced with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e3\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17px 8px; transform-origin: 17px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e cuts.\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: 68.5px 8px; transform-origin: 68.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWikipedia's article on \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Torus\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eTorus\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: 250.5px 8px; transform-origin: 250.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, gives an amazing formula for calculating the maximum number of pieces using \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 36px 8px; transform-origin: 36px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e number of cuts on a single Torus:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36px; 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 18px; text-align: left; transform-origin: 384px 18px; 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: 160px 8px; transform-origin: 160px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                                                \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 146px; height: 36px;\" width=\"146\" height=\"36\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 44px 8px; transform-origin: 44px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTherefore for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 250px; height: 19.5px;\" width=\"250\" height=\"19.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 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: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 72px 8px; transform-origin: 72px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven a cutting limit \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: 157px 8px; transform-origin: 157px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, write a function to find all positive integers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEkAAAAkCAYAAADFGRdYAAAB4klEQVRoge2YYdGDMAyGHw91gAEMTAEKcICDOcACGpCAh1mYBizs+wE5AivbWgbl2+W565/11qRv0yQFDMMwDMMwjF+hAFxqJ85KCdyBB5An9uV0aHEeQAtkST06ET5xLkk9OhH/UhzHcw7IGBz/Vtg74Mpx4jjW/c8/sVswONwBPYPD1TiXjb/LRnq2JVERR+zsKY4DauCmbHVMldIx31vxajGJEn2qGYMYPcOmrmqujnT4KHG0TYmcRtmVQ76NPnQEVFBRvBsX11FzUUbKQGcr5uJ0HJ9zlv7XDMIF4dQiFYNgWoxKzYc2dhnzk5RoPLqsi+3bOIIpmJ/0UuVGzcXiu3JHiqXzT1Re1Sd998zLxq6RDmpSiaXzatQzRyftZZbP2XgCK6yJtdcTRKeM4JyoRWhfLN5vcPAVvp6p47ti6T1GVWitsK9XkLscXA0iWHbf3xDLjWuWTHsJTtzyR1+k6Kon1a5l/1f5Uqwt9lqmyPHlpYo3jSTqT75IKReLNsQ1k7GIWCEiyQsiZ/BXV+Rlv1TyQVTp0u9TU19F6VBTEFL5dO6581zJ+jfzT8g9Xet/HFPrHtppp0LeoQ1+AYo380mQV/aWcZrN7IXudGPHz3++rZmudOywz7eGYRiGsYk/hMHoJqFelXYAAAAASUVORK5CYII=\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 38.5px 8px; transform-origin: 38.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, such that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 33.5px; height: 18.5px;\" width=\"33.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57px 8px; transform-origin: 57px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e is a semi-prime.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8.5px 8px; transform-origin: 8.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e A semi-prime is a positive integer that has only \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e2\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 39.5px 8px; transform-origin: 39.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and exactly \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e2\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 156.5px 8px; transform-origin: 156.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e prime factors. A few example of semi-primes are: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 155.5px; height: 18.5px;\" width=\"155.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 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: 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: 58.5px 8px; transform-origin: 58.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs an example for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 67.5px 8px; transform-origin: 67.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the only semi-prime \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 33.5px; height: 18.5px;\" width=\"33.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.5px 8px; transform-origin: 19.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e's are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 300px; height: 18.5px;\" width=\"300\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 90px; height: 18.5px;\" width=\"90\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 129px 8px; transform-origin: 129px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, therefore the function output should be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 91px; height: 18.5px;\" width=\"91\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function ns = semiCn(x)\r\n    ns = 1:x;\r\nend","test_suite":"%%\r\nx = 20;\r\nns_correct = [2,6,7,15,19];\r\nassert(isequal(semiCn(x),ns_correct))\r\n%%\r\nx = 100;\r\nns = semiCn(x);\r\nks = ns(3:2:end);\r\nks_correct = [7 19 39 51 87];\r\nassert(isequal(ks,ks_correct))\r\n%%\r\nx = 1000;\r\nns = semiCn(x);\r\nss = floor([sum(ns) mean(ns) median(ns) std(ns)]);\r\nss_correct = [12971 332 271 292];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nx = 10000;\r\nns = semiCn(x);\r\nss = floor([sum(ns) mean(ns) median(ns) std(ns)]);\r\nss_correct = [869336 4220 3939 3047];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nx = 100000;\r\nns = semiCn(x);\r\nss = floor([sum(ns) mean(ns) median(ns) std(ns)]);\r\nss_correct = [53297849 43086 40487 29507];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nx = 500000;\r\nns = semiCn(x);\r\nss = floor([sum(ns) mean(ns) median(ns) std(ns)]);\r\nss_correct = [1043460440 224980 215559 148553];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('semiCn.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":3,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-10-03T13:00:22.000Z","updated_at":"2026-02-24T17:12:07.000Z","published_at":"2021-10-05T12:39:59.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe figure below illustrates how a torus (donut shape) can be cut in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e13\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e pieces with only \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e cuts:\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=\\\"248\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"339\\\"/\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\u003eIn fact, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e13\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the maximum number of pieces a torus can be sliced with \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e cuts.\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\u003eWikipedia's article on \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Torus\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eTorus\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, gives an amazing formula for calculating the maximum number of pieces using \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e number of cuts on a single Torus:\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\u003eC(n)\\\\ = \\\\ \\\\frac{n^3+3n^2+8n}{6}\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\u003eTherefore for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(3) = 1/6\\\\times (3^3+3\\\\times 3^2+8\\\\times 3) = 13\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a cutting limit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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 a function to find all positive integers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\\\\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, such that \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e is a semi-prime.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e A semi-prime is a positive integer that has only \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and exactly \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e prime factors. A few example of semi-primes are: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{4,6,9,10,14,15,21,...\\\\}\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\u003eAs an example for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex=20\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the only semi-prime \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e's are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(2) = 6, \\\\ C(6)=62,\\\\ C(7)=91,\\\\ C(15)=695\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC(19)=1349\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore the function output should be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52866,"title":"Easy Sequences 36: Hyperbolic Lattice Points","description":"The graph, shown below, of the hyperbola: , passes through four positive lattice points:.\r\n                                            \r\nIt can be shown that those  points are the only positive lattice points that the above hyperbola touches. (A lattice point is a point  on the xy-plane where both  and  are integers.)\r\nGiven the integers  and , write a function that counts the number of positive lattice points that the hyperbola: , passes through.\r\nNOTE: The trivial point , is not to be included in the count.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 510px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 56px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe graph, shown below, of the hyperbola: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg 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data-image-state=\"image-loaded\"\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; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eIt can be shown that those \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);\"\u003e4\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e points are the only positive lattice points that the above hyperbola touches. (A lattice point is a point \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39.5\" height=\"19\" style=\"width: 39.5px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e on the xy-plane where both \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003em\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e are integers.)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 56px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven the integers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003eb\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, write a function that counts the number of positive lattice points that the hyperbola: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"61\" height=\"35\" style=\"width: 61px; height: 35px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, passes through.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eNOTE: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe trivial point \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36\" height=\"19\" style=\"width: 36px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, is not to be included in the count.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = numPosLat(a,b)\r\n  y = x;\r\nend","test_suite":"%%\r\na = 2; b = 4;\r\nn_correct = 4;\r\nassert(isequal(numPosLat(a,b),n_correct))\r\n%%\r\na = 12; b = 28;\r\nn_correct = 20;\r\nassert(isequal(numPosLat(a,b),n_correct))\r\n%%\r\na = 100; b = 1000;\r\nn_correct = 36;\r\nassert(isequal(numPosLat(a,b),n_correct))\r\n%%\r\na = 123; b = 456;\r\nn_correct = 48;\r\nassert(isequal(numPosLat(a,b),n_correct))\r\n%%\r\na = 12345; b = 54321;\r\nn_correct = 48;\r\nassert(isequal(numPosLat(a,b),n_correct))\r\n%%\r\nas = floor(linspace(201,1234,100)); bs = floor(linspace(401,5678,100));\r\nns = arrayfun(@(i) numPosLat(as(i),bs(i)),1:100);\r\nss = floor([sum(ns) mean(ns) mode(ns) median(ns) std(ns)]);\r\nss_correct = [4750 47 48 32 43];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\na = 35153041; b = 12117386241;\r\nn_correct = 975;\r\nassert(isequal(numPosLat(a,b),n_correct))\r\n%%\r\na = floor(double(intmax)/7); b = floor(double(intmax)/3);\r\nn_correct = 1944;\r\nassert(isequal(numPosLat(a,b),n_correct))\r\n%%\r\na = floor(double(intmax)/5); b = double(intmax);\r\nn_correct = 8;\r\nassert(isequal(numPosLat(a,b),n_correct))\r\n%%\r\nfiletext = fileread('numPosLat.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":0,"comments_count":1,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-10-06T10:44:57.000Z","updated_at":"2026-02-24T17:29:27.000Z","published_at":"2021-10-06T19:09:39.000Z","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\u003eThe graph, shown below, of the hyperbola: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey = \\\\frac{2x}{x-4}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, passes through four positive lattice points:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{(5,10),\\\\ (6,6),\\\\ (8,4),\\\\ (12,3)\\\\}\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=\\\"293\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"309\\\"/\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\u003eIt can be shown that those \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e points are the only positive lattice points that the above hyperbola touches. (A lattice point is a point \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(n,m)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e on the xy-plane where both \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are integers.)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\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 the integers \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eb\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, write a function that counts the number of positive lattice points that the hyperbola: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey = \\\\frac{ax}{x-b}\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, passes through.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eNOTE: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eThe trivial point \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(0,0)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is not to be included in the 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Sequences 37: Natural Factorable Polynomials","description":"A polynomial of the form: , for , is said to be natural factorable if it can be factored into products of first degree binomials: , where,  and  are all natural numbers (i.e. integers that are ).\r\nGiven an integer , write a function that counts the number of all possible natural factorable polynomials that can be formed, wherein .\r\nFor example, when , the are  possible natural factorable polynomials, namely:\r\n                                    ;\r\n                                    ;\r\n                                    ;\r\n                                    ;\r\n                                    \r\n                                    ; and\r\n                                    \r\nTherefore the function output should be .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.440000534057617px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: normal; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 384px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eA polynomial of the form: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"287.5\" height=\"21\" style=\"width: 287.5px; height: 21px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, is said to be natural factorable if it can be factored into products of first degree binomials: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"214.5\" height=\"20\" style=\"width: 214.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, where, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg 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width=\"140\" height=\"20\" style=\"width: 140px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"131.5\" height=\"20\" style=\"width: 131.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003eall\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e natural numbers (i.e. integers that are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25\" height=\"18\" style=\"width: 25px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003eGiven an integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, write a function that counts the number of all possible natural factorable polynomials that can be formed, wherein \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"67.5\" height=\"20\" style=\"width: 67.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eFor example, when \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"36.5\" height=\"18\" style=\"width: 36.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, the are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);\"\u003e7\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e possible natural factorable polynomials, namely:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                                    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" 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0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                                    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                                    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"212.5\" height=\"20\" style=\"width: 212.5px; height: 20px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eTherefore the function output should be \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: normal; font-weight: normal; color: rgb(0, 0, 0);\"\u003e7\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = numPols(a)\r\n  y = x;\r\nend","test_suite":"%%\r\na = 4;\r\nn_correct = 7;\r\nassert(isequal(numPols(a),n_correct))\r\n%%\r\na = 5;\r\nn_correct = 13;\r\nassert(isequal(numPols(a),n_correct))\r\n%%\r\na = 10;\r\nn_correct = 128;\r\nassert(isequal(numPols(a),n_correct))\r\n%%\r\na = 20;\r\nn_correct = 2693;\r\nassert(isequal(numPols(a),n_correct))\r\n%%\r\na = 50;\r\nn_correct = 1295920;\r\nassert(isequal(numPols(a),n_correct))\r\n%%\r\nas = 51:150;\r\nns = arrayfun(@(a) numPols(a),as);\r\nss = int64([sum(ns) ns(1:20:end) floor(std(ns))])\r\nss_correct = [4267039260053 1535862 34751087 529784816 6145056743 58130508732 88934830907];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\na = 75;\r\nn_correct = 61537319;\r\nassert(isequal(numPols(a),n_correct))\r\n%%\r\na = 100;\r\nn_correct = 1642992467;\r\nassert(isequal(numPols(a),n_correct))\r\n%%\r\na = 150;\r\nn_correct = 423652454768;\r\nassert(isequal(numPols(a),n_correct))\r\n%%\r\nfiletext = fileread('numPols.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":9,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-10-06T10:42:04.000Z","updated_at":"2026-02-24T17:43:19.000Z","published_at":"2021-10-07T11:06:14.000Z","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\u003eA polynomial of the form: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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^n+a_2x^{n-1}+a_3x^{n-2}+...+a_{n-2}x^2+a_{n-1}x+a_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en \u0026gt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is said to be natural factorable if it can be factored into products of first degree binomials: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(x+r_1)(x+r_2)...(x+r_{n-1})(x+r_n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea_2,\\\\ a_3,\\\\ a_4,\\\\ ...\\\\ a_{n-1},\\\\ a_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er_1,\\\\ r_2,\\\\ r_3,\\\\ ...\\\\ r_{n-1},\\\\ r_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eall\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e natural numbers (i.e. integers that are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\ge1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, write a function that counts the number of all possible natural factorable polynomials that can be formed, wherein \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1 \u0026lt; a_2\\\\le a\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, 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\u003ea = 4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e possible natural factorable polynomials, namely:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex^2+2x+1=(x+1)^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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^2+3x+2=(x+1)(x+2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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^2+4x+3 = (x+1)(x+3)\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=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex^2+4x+4 = (x+2)^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                    \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\u003ex^3+3x^2+3x+1=(x+1)^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\u003e                                    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex^3+4x^2+5x+2 = (x+1)^2(x+2)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e; and\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex^4+4x^3+6x^2+4x+1=(x+1)^4\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\u003eTherefore the function output should be \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"no_progress_badge":{"id":53,"name":"Unknown","symbol":"unknown","description":"Partially completed groups","description_html":null,"image_location":"/images/responsive/supporting/matlabcentral/cody/badges/problem_groups_unknown_2.png","bonus":null,"players_count":0,"active":false,"created_by":null,"updated_by":null,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"created_at":"2018-01-10T23:20:29.000Z","updated_at":"2018-01-10T23:20:29.000Z","community_badge_id":null,"award_multiples":false}}