{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-06T14:01:22.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-06T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":60925,"title":"Intersect three sequences","description":"Most numbers have interesting properties, if you look hard enough and interpret “interesting” liberally. Let’s choose a number at random—300, say—and list some of its properties:\r\nIt is divisible by the square of its largest prime factor. \r\nIt is the area of a triangle with integer sides and integer area\r\nIt is a folding point of the non-negative integers written in a hexagonal spiral (see below), as are 1, 2, 3, 4, 5, 7, 8, 10, 12, 14, 16, 19, 21, 24, etc. \r\nA number that shares these properties is 108: (a) It is divisible by 9, or the square of its largest prime factor (3), (b) it is the area of a triangle with sides 15, 15, and 18, and (c) it is a folding point of the hexagon (it would be to the right of 75 in the hexagon below). \r\nWrite a function to determine whether a number has the three properties listed above. \r\n","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: 677.233px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 338.617px; transform-origin: 408px 338.617px; 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: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 361.508px 8px; transform-origin: 361.508px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eMost numbers have interesting properties, if you look hard enough and interpret “interesting” liberally. Let’s choose a number at random—300, say—and list some of its properties:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: decimal; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 164.125px 8px; transform-origin: 164.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt is divisible by the square of its largest prime factor. \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 185.933px 8px; transform-origin: 185.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt is the area of a triangle with integer sides and integer area\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 363.283px 8px; transform-origin: 363.283px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt is a folding point of the non-negative integers written in a hexagonal spiral (see below), as are 1, 2, 3, 4, 5, 7, 8, 10, 12, 14, 16, 19, 21, 24, etc. \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\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: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 379.592px 8px; transform-origin: 379.592px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA number that shares these properties is 108: (a) It is divisible by 9, or the square of its largest prime factor (3), (b) it is the area of a triangle with sides 15, 15, and 18, and (c) it is a folding point of the hexagon (it would be to the right of 75 in the hexagon below). \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 266.708px 8px; transform-origin: 266.708px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine whether a number has the three properties listed above. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 421.5px; 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: 385px 210.75px; text-align: left; transform-origin: 385px 210.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"487\" height=\"416\" style=\"vertical-align: baseline;width: 487px;height: 416px\" src=\"data:image/png;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function tf = isX3Seq(x)\r\n  tf = false;\r\nend","test_suite":"%%\r\nassert(isX3Seq(108))\r\n\r\n%%\r\nassert(~isX3Seq(144))\r\n\r\n%%\r\nassert(~isX3Seq(200))\r\n\r\n%%\r\nassert(~isX3Seq(256))\r\n\r\n%%\r\nassert(isX3Seq(300))\r\n\r\n%%\r\nassert(isX3Seq(432))\r\n\r\n%%\r\nassert(~isX3Seq(500))\r\n\r\n%%\r\nassert(~isX3Seq(648))\r\n\r\n%%\r\nassert(~isX3Seq(660))\r\n\r\n%%\r\nassert(~isX3Seq(768))\r\n\r\n%%\r\nassert(isX3Seq(1200))\r\n\r\n%%\r\nassert(~isX3Seq(1553))\r\n\r\n%%\r\nassert(isX3Seq(1728))\r\n\r\n%%\r\nassert(~isX3Seq(1875))\r\n\r\n%%\r\nassert(~isX3Seq(3072))\r\n\r\n%%\r\nassert(~isX3Seq(3924))\r\n\r\n%%\r\nassert(isX3Seq(4332))\r\n\r\n%%\r\nassert(~isX3Seq(6084))\r\n\r\n%%\r\nassert(~isX3Seq(8118))\r\n\r\n%%\r\nassert(~isX3Seq(10806))\r\n\r\n%%\r\nassert(~isX3Seq(14283))\r\n\r\n%%\r\nassert(isX3Seq(18252))\r\n\r\n%%\r\nassert(~isX3Seq(26010))\r\n\r\n%%\r\nassert(~isX3Seq(31236))\r\n\r\n%%\r\nassert(~isX3Seq(42336))\r\n\r\n%%\r\nassert(~isX3Seq(49152))\r\n\r\n%%\r\nassert(isX3Seq(65712))\r\n\r\n%%\r\nassert(isX3Seq(99372))\r\n\r\n%%\r\nassert(~isX3Seq(116592))\r\n\r\n%%\r\nassert(~isX3Seq(140000))\r\n\r\n%%\r\nassert(~isX3Seq(152172))\r\n\r\n%%\r\nassert(~isX3Seq(160314))\r\n\r\n%%\r\nassert(~isX3Seq(170008))\r\n\r\n%%\r\nassert(isX3Seq(212268))\r\n\r\n%%\r\nassert(isX3Seq(248832))\r\n\r\n%%\r\nassert(isX3Seq(280908))\r\n\r\n%%\r\nassert(~isX3Seq(296274))\r\n\r\n%%\r\nassert(isX3Seq(303372))\r\n\r\n%%\r\nassert(isX3Seq(314928))\r\n\r\n%%\r\nassert(~isX3Seq(340707))\r\n\r\n%%\r\nassert(isX3Seq(489648))\r\n\r\n%%\r\nassert(~isX3Seq(3145728))\r\n\r\n%%\r\nassert(isX3Seq(7114800))\r\n\r\n%%\r\nassert(~isX3Seq(12582912))\r\n\r\n%%\r\nassert(isX3Seq(14865228))","published":true,"deleted":false,"likes_count":0,"comments_count":3,"created_by":46909,"edited_by":46909,"edited_at":"2025-06-02T16:45:27.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":"2025-06-02T03:01:11.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2025-05-27T13:26:30.000Z","updated_at":"2025-06-06T14:09:48.000Z","published_at":"2025-05-27T13:26:30.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eMost numbers have interesting properties, if you look hard enough and interpret “interesting” liberally. Let’s choose a number at random—300, say—and list some of its properties:\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=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIt is divisible by the square of its largest prime factor. \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=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIt is the area of a triangle with integer sides and integer area\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=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIt is a folding point of the non-negative integers written in a hexagonal spiral (see below), as are 1, 2, 3, 4, 5, 7, 8, 10, 12, 14, 16, 19, 21, 24, etc. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA number that shares these properties is 108: (a) It is divisible by 9, or the square of its largest prime factor (3), (b) it is the area of a triangle with sides 15, 15, and 18, and (c) it is a folding point of the hexagon (it would be to the right of 75 in the hexagon below). \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine whether a number has the three properties listed above. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"416\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"487\\\"/\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\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":60925,"title":"Intersect three sequences","description":"Most numbers have interesting properties, if you look hard enough and interpret “interesting” liberally. Let’s choose a number at random—300, say—and list some of its properties:\r\nIt is divisible by the square of its largest prime factor. \r\nIt is the area of a triangle with integer sides and integer area\r\nIt is a folding point of the non-negative integers written in a hexagonal spiral (see below), as are 1, 2, 3, 4, 5, 7, 8, 10, 12, 14, 16, 19, 21, 24, etc. \r\nA number that shares these properties is 108: (a) It is divisible by 9, or the square of its largest prime factor (3), (b) it is the area of a triangle with sides 15, 15, and 18, and (c) it is a folding point of the hexagon (it would be to the right of 75 in the hexagon below). \r\nWrite a function to determine whether a number has the three properties listed above. \r\n","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: 677.233px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 408px 338.617px; transform-origin: 408px 338.617px; 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: 385px 21px; text-align: left; transform-origin: 385px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 361.508px 8px; transform-origin: 361.508px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eMost numbers have interesting properties, if you look hard enough and interpret “interesting” liberally. Let’s choose a number at random—300, say—and list some of its properties:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003col style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: decimal; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 392px 40.8667px; transform-origin: 392px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 164.125px 8px; transform-origin: 164.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt is divisible by the square of its largest prime factor. \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 20.4333px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 10.2167px; text-align: left; transform-origin: 364px 10.2167px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 185.933px 8px; transform-origin: 185.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt is the area of a triangle with integer sides and integer area\u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003cli style=\"block-size: 40.8667px; counter-reset: none; display: list-item; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-start: 56px; margin-left: 56px; margin-top: 0px; perspective-origin: 364px 20.4333px; text-align: left; transform-origin: 364px 20.4333px; white-space-collapse: preserve; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 363.283px 8px; transform-origin: 363.283px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt is a folding point of the non-negative integers written in a hexagonal spiral (see below), as are 1, 2, 3, 4, 5, 7, 8, 10, 12, 14, 16, 19, 21, 24, etc. \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ol\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: 385px 31.5px; text-align: left; transform-origin: 385px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 379.592px 8px; transform-origin: 379.592px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA number that shares these properties is 108: (a) It is divisible by 9, or the square of its largest prime factor (3), (b) it is the area of a triangle with sides 15, 15, and 18, and (c) it is a folding point of the hexagon (it would be to the right of 75 in the hexagon below). \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 385px 10.5px; text-align: left; transform-origin: 385px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 266.708px 8px; transform-origin: 266.708px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to determine whether a number has the three properties listed above. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 421.5px; 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: 385px 210.75px; text-align: left; transform-origin: 385px 210.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" width=\"487\" height=\"416\" style=\"vertical-align: baseline;width: 487px;height: 416px\" src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAecAAAGgCAIAAAAfMjjXAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAD1MSURBVHhe7Z3heds6tkVjdWG5EMuFOGrkxqXkTifjpJSZtDIzb0cbPg8BSIgiDwDB3OtHPoFksAlKWDymKOnL/4QQQoyDrC2EECMhawshxEjI2kIIMRKythBCjISsLYQQIyFrCyHESMjaQggxErK2EEKMhKw9Ej9+/PgSgWZYcSEs/eDr169hxWbKucbj4yPW/vr1K7Q3U8j99u1bWHrh+fk5rPAAQQ8PD6HrL1/e39/Div/9D0c1LL3w/fv3sMKDQi55e3vjBv/+97/DIg/Kuf/4xz9s7V9//fXf//43rBCdkLWHgQqDrdiEp9CMFRmvdeRqLjGNelm7nPv333/zAeCWXuKmwiz3dDqhc7Pk8Xg0bWEfsKWXuC2X/Se59CakydOGo7WZazpOcqlsehwHP95S9ELWHgZO11hbaMbyQtNc48jVXIC1WOhbay/JNeh0F5skWiznQuIYtUvu+XxOcqHI/JSQbLadpENqGrkcFAaIA2IDZLEva/dF1h4GFrOmDzZjRaJZw9pXcwGkiblN33lZe0mugR3wsudk7pwlUZl65UKICDJN0495rru1GWSajnNZhtuqySWiPbL2SGC6AngETsEDMwvhqtBw5RI7m8uFeOBrbfA7dT7XYK6jyCCmJbkYKbbECcNLYXEu5RhWRLhbGzD3r7/+stzc4AaWvL6+ytodkbUHg1chQC5HLidhkR/lXHrN3dqgkAu7cRVwl8jxeGTPBT/yEnD+nuEWrubWsDaYzJW17xNZexigLUwqmBF/pXKC4XFY9ye8yIvNQvtjSUJYd21tOReP8d/tMdbGeq2XG0N9x2snezbRlNciF2JiLh5g1WQulZ2Uw1yYYD2X107m5nKctLZLLk4/Sa6sfZ/I2sOAqtP8CKieuT/ek423UMilT/EvV2G2oxlbews3jZfRLhUoqk5kJcpLcrnQvcrOc/OLJO619lwultDa8TCpeFm7L7L2GGC2YC6hqAztjyWwVWj/CeYhrBcaGyjn0pU5SOfGq7l1vLAq1s45fTlIgZWSXCyJczlqX2VbrtnQchM/+lqbKfHNfHEuq367zA3yJaI9svYYYC7lzipYDMp2tPbCXCzEKvyX0N7AreOF77B2u8vMWaF9IV7C00OsdRcsN7ZhvgTUsHYhF5V4vJbVd7JLojGy9jBg8mC62uUI1LNoTioy2XIjt+ZOrlpBOTceHR5jFbYP7W0w10ppXjGgJek4NGtoizqezI1xv0JSztWnbO4QWXskKBSSlNI0l+GlTlLIjeFmjtGF3HgV8C1+k1yTlFk7Jt5gIxQoSbrNc0l+4XsFhVygT7TfG7K2EEKMhKwthBAjIWsLIcRIyNpCCDESsrYQQoyErC2EECMhaw8MP1oSGkK05XQ6Pft936FYjub8wEDZ2z/DLcQ6flw+3e74eR+xEFl7VFBoJx88EaIxKLe/Zp+5F7WRtUcFylahLfqicrsLsvaQ8DuMQkOIfqjcbo9m/pCg0Hb/2jkhVqByuz2y9nio0BZ3hcrtxmjyj4cKbXFX8EsBZe1myNqDwW9kDQ0h7oPj8agvcW2G5v9gPD8/46/R0BDiPlC53RJZeyRYaPv+4oEQLqjcboasPRIqtMXdonK7GbL2MKjQFneOyu02yNrDgCpbhba4Z97e3iBuWbs2svYYoMRGoY1yO7SFuEseHh6+f/8ucVdF1h6D5wuhIcS9gnJbV7drI2sLIcRIyNpCCDESsrYQQoyErC2EECMha7eGt10b+W0h/Eo/w+sG7dDdB/lNhF1yw9IPHG9tfHh4CJ1emOv5eDxireMXjea59tbc29tbWHrh2fVHFwu55/M5LL3geI8Hj17C6+ur9Y+Xt+1YvFxsQdZuCpVt39iHeYtm7EcuCY0LjvYsfFNgr9zy2i1AFld7xgbYAeBr7bnc+LeHqDNHcaO3uU+4xPdQ8xOMlW7O46BsN5j1/v6Ox3g54bHE7YKs3RRUQHCECZHlrU1mNvPq2wX0XLBJl1xQXrsFOKLcMz3y+PiIfWhj7YTT6YRoL4shd+HnEiFxjLqGPZOe0YxPS7wpUL+fsB1ZuymYz5iopmk2TeJ4xeNVzsfuFPzYKxeU127hqj0xZJxEeR7tZW1Hey63tm+uEVfWgCfFeJeSSlysRtZuDRxBVSWFNkATEsGqyya/CSs8QG9zNsGqLrmgvHYLZXvy4EMfvazNa82+uUuESJk6Xpkx0G18AWTO2rpIsh1ZuwOodDBjgVXZAI+5EB7hEm7Gx9th5yQsutArl4QVF8IiJyCI0O/UVQis5fmyhrUZCvLc+A1JX3mVcw1elrGK2IvJqx+HwyE+PbAYl7W34zxVRBkqEqZA3XGZX//vSq6CMdkE3Ma9FMVEQrd2FftqLrdP4CpQXhuT5Cbka1fkTuog7xnHHAvtMdbGuqHXEqzn8tqYsh+pb6Qv7Nkll6vc34rES2hSx1Q547gN0mXt7cjaTYEczReAQmHRR3vGawGWmNYdiXejV25Oee0W+LYYH/OcZBLPre1I8nZcgvtFEmMyt3wW2QIGkhfahOJGLkeKx7quvR1Zux30Y1w7c4n5EY8TbcVrHUFKXFz3yk0or90Ce6YsqOkcbONuE4jScnNwtmYpGtp+5Lk8Q9RQNovoJRU0zpQcr/tx3huydjsSR5N4CYXCx4BVYfx2pReY0iA0+uUmlNduIbkjLYZjr1drz+UCXiSpVGvHubygXKnIZaG95HxQPoeJ5cjaTaEj7M9z1HdowuZsUutYyGal2jPZB9ArN6a8dgtLcmuoMy9v433AY8gO6e4WS3JZC2NJJV0u7Hy53MVVZO3WUBMklyMFSkyj24EjQqcX7DxhdMm9ulerSXouSNnX2nQxQ0HSLX1qfPv2zcukhVwc1XgV8ap52TleMJO90dS+iQLI2kIIMRKythBCjISsLYQQIyFrCyHESMjaQggxErK2EEKMhKzdmW+Xb9oLjYb0yhV3xel0mrtvryq9cj8HmredgTprfArxKr1yxV3BG71rfMioTK/cz4Gs3RMUvDU+hXiVXrniDkHZW+MjmlfplfsJkLV7AnV2KXh75Yo7ROX2cMja3YA3u1xZ7pUr7haV22Oh2dsNFLzfvH/xYAm9csXdonJ7LGTtPqjQFneFyu2B0ATugwptcVfwO7jb25O5//nPf0JbLEDW7gD+MOxS8PbKFUNwPB5xRm8vbuTqZ8luQnO4A8/Pz/irMDQa0itXDIHK7VGQtVvDgtfxFwAW0itXDITK7SGQtVujQlvcLSq3h0DWbooKbXHnqNy+f2TtpqDa7VLw9soVw/H29vbY4zcekQtxq9xegqzdDpS6KHhR9oZ2K3rlikF5eHj4/v17e3EfDocuucMha7fj+UJoNKRXrhgUlL1drm4zV+X2VWRtIYQYCVlbCCFGQtYWQoiRkLWFEGIkZO018PZnI7494/HxMSyN8LrrLnT3Qdxtvdxvl1+YNJI3Nstrt1DuGUMLKy44/shDnpu/L2fbOH7L6NvbG/skeS7G+PDwwLW+tzZbtwTHNumc7xNileN4j8cj42JeX18tGtMq3rH393cuF7L2zVDZmLdsYnahOfcBlmTjjSzvyjE3FiK7jQVaXruFcs+Y8za9sSXWxttvIcmFOGKB0iM4sDxtOFqsnIu1WEJz4cWGx47iLvTG8WItxovH9b4Lm0O23Uiap9MJu/Gvf/3rsu3ekbVvhtPVNF1WBkpgEBqbQdBCEfvmxkAl2I3QyCiv3UK5Z0gc4/WyWAx9kffsbu2EJBcDjEtg35vzYj/OcT6fq1qbz6Dd9sc40zQ/8q67uYmsfTPwJqaTaZrNyVqbQkfVENqbQW9LrO2eGwN7Fs4H5bVbWJJbY0rDnpM9N7C25bLwhLO4CuRLtoCu+lqbUo6vgfC0ZJpmU7U2kbXXgOkKINByoY1VmNuh4QFDQ2Me91yDqpq7HFReu4Vyz1iOKQ1xh7YfzJ1UVWHVdqDIuHM6K8nCEuyDy4kKXfW19uFwiK9oEyzEQcCOYX4hWoW2IWuvBHUQXlJgTiWFGnw1TCRhUUaNXPZJwqKI8totLOwZvsYGjn9bxLlzpqhhbdiZoSDObWDtkDo/3nrWnhwdeXp64l6pyo6RtW8GQsTLCBMGmuBLCo/Dug9sm9D2Zs5TtXOps7n+87Xcz4Sw7tramEIuO0n+3Jns2XxUXhtTyMVCrEpcw4vRCdZzeW0M9Y0Irq1tbYN7OHm3RiVr4xWLbvNCG8tZgGNnsAH2Kt9mt8jaN4MqG9M+NGaswSmNV15oVyDZDdIgtxxRbwcme+bBd6yyc5ib22puuRfxRRJaO5YpjkMNa4Pj8Yijmndbydpz3aLKjneDpxNdJCGy9m1gtuDVgxIstKfK23xJDfCahrhD40Kb3PKl/PLaLeQ905tVlQ3mRsT0etZGInTG9xsxRntM8iVexO+CxtSwNs89c4V2fKmdS1RuE1n7NibNmCxpYxNMrcTabXJ50QDHIbT/pLx2C0nPlGl8+qwEc3Nb1bZ2clWk6p1/MXP3UNawNvvML8hMOlrWNmTtm0nkyD/SY0+hCUKjDpOCrpQbp+AxIpAe2tfWbqHQM442ZjuW1JjDSS6CJkfEp8DRYpO5NkCW3hQch3/1ro8VQKMYVLPr2hAx4ia/mjUROq+Q6D1JImuvgTOWJAUvZhQWQuWh7QfNZcTnCVAvNx4sSMrb8totFHo2a8dMVogrKI8ozyXbL1bQmAZyk+FQ3FzrqGyeIdgtSLxcGO/GHeCTGF+8TqC4GYcnV9+7bcjaQggxErK2EEKMhKwthBAjIWsLIcRIyNpCCDESsrYQQoyErO3At8sHMUKjIXvLFZOcTqfC/XP12Fvu/aC55wAUln/iuQF7yxWT8IZr38+/LKFv7p4/cSNrbwWFZ/JBmzbsLVcUQPn5tcI3SV1lb7l3gqy9FSisS+G5t1xRQOX2rpC1NwF/dbnCu7dccRWV2/tBM3ATKDy/1f/auZy95YqrqNzeD7L2elRoi7tC5fZO0CRcjwptcVfwl87bW6xv7g6/C1DWXgn+QOtSeO4tV9zE8XjEmbW9QJFb4/u+r/L09NQlty+ahyt5fn7GX2eh0ZC95YqbULm9B2TtNbDwTH6XoAF7yxUrULn96ZG116BCW9wtKrc/PbL2zajQFneOyu3Pjax9M6g6uxSee8sVq3l7e3t0+hXNm0AuxN0rdz/ltqx9Gyg5UXii/AztVuwtV2zk4eFh+w/yrqBX7uFw6JLbBVn7Np4vhEZD9pYrNoLys8tV5r65Oym3ZW0hhBgJWVsIIUZC1hZCiJGQtYUQYiT2a23ehmwkt0mU124h9PhBclNdpdxvl196NApvMD4+PmID37uzLX2yW36VoOEYbbn594g+PDxwFfG9tbGQaxyPx/IGN3E+n5lI8rsp8EKyIWOwju8WJkfy9fU17pwfgeEqx1uqn56e2GeMRZfXfgJ2am3KEbOLTVgMTfNFee1G4p4T6uXCjOHRR8qkuE03joMF6BammOyWYwyNCy7RNIXlTlp77lnYwtVc8vb2hrWFDW4lvkuaoozFzSXv7+94jMOLx47iRm9zOs5zK30W5ufPn4XOy2tHZKfWTiTCcs/UVl67EXQ154uquTG5KwFysbBGrQ2SoREOEGeR0K4Ac5tZ22DxOyllHASk8zh7WTsBEo8/ZYMmnnFr8iY5r+iCEJGL45/k1rg5D8U1xjvXc3ntiOzU2pixmDMmRDbNKeW1G0FXc76omhuDOYzXcWh8gIWYY9Sce+hkt9gHhIZGHZh7V9bmd/nP7ZgLiDBr45gnYsVpsqDaW5nriilxyZ8vccEq+sluy2sHZafWBpgzAFOXFZ+5kpTXboHdhkbGJbZKrkFfJAJlHB5Mrt3OZLdYguUYLB6QsMKPOTliJheehe3MWRvHGdEwSEHrG6GmrbieszaOjIvIks6NyYr+cDi4X18u91kjsTv7tTZAPfJbFTOSKq9dDfskYdGfVMotyxELeYZoZm08/r0r0TuBHDgfe1Gw9iX8NzWm9JyUkYtiEw/qWRuFNnrm1WSC0PgKCctPR2v/PogX4g7bWJspc78eWV47Lju1NpWBFy7qDr7gzB2gvNYLTCT0jIjQbpVLfcc947FdqcBjrI316kLeLQcLU4f2x9ukVgLz+CRwFZhcm+uAuQU55s8CrZdgPZfXGpNSxkLEceNK1ubuJVchKC8uxGGnZ3Fk8t3eQnK2aGBtjKXQYXnt0OzU2pCFeQpw6trliPJaR5KgZrmxQ+lK01Zja8fjBViCLUPDA+aW5cg360LDiVzKOMKwmEmthrXzKtugQ7GWoXjsdV07Jn7bk4nxzuAZxxJHjeIYosO5Urq8dmj2aG36Ir6sySX0RXmtL3iJW7HZMhdnAvQcXxLJ8RUZUzCi0L6Qp2CJ73iZW5YjnwVfheVS5pIc09xG2P+kshN4/nB/VxDgtGFHMk/xzcVraZ+FNtivtRM72JLyWl/wEgd83DKXF0mQGNoRiJtbtYXJbrkwND6qft+/LRhRtnZyn5wLubUTrm5wEzhoEOLC8jl2qy/Jkax65x8OIHrDWWpyIOW1o7PTKySczNAEm6h30DSnlNd6kaSAerlxCh6jW2SF9p9wH9pYG00sxDDZxAM7h3nB3IIck2PuRUtr4zDCUOhtiaGYu6QkvxUTZWhX/pQNSmkMZO4cUF47Oju1NuB0JbksymtXQ2MauRwr5cbdgvg6TAK3zHdsHYzLsYKa4iam7+3QYjnMTZ4Fr4IXzOV+v9w3ElPD2jFxzcssEi/fDo5kHJ0Ph+LmWkdlY8jwMl4wkx2W134C9mttIYQYEVlbCCFGQtYWQoiRkLWFEGIkZG0hhBgJWVsIIUZC1g7wgyeh0RDlCnA6nbrcqba33JeXF+SOfh+35k8AKvH9VN5ClCsAb3x2vHN8IXvL5e/ajP7lJLL2b1AAOn6kZTnKFQbKz6/e38O3hL3lotzukuuIrP0bqKRLAahcYajcbsMnKLdl7f//GZfGKFckqNxuw+jltmbR7wIQf7mHRkOUKxJUbrdh9HJ779ZWwdsGFdoLUbndhqHL7b1PJBW8bVChvRCc3lAGtrcJv5yvV277W/F65bqwa2vjD7QuBaByRYHj8YgzXHuBdsyt8XNoV3l6euqSu51dz6Xn52f8lRQaDVGuKKByuw3jltv7tTYLQK+v/1+OcsVVVG63YdBye7/WVsHbBhXaK1C53YZBy+2dWlsFbxtUaK9G5XYbRiy3d2ptVH9dCkDlioW8vb091vkl9TIdcyHu9mVvr9wt7NHaKP1QAKIMDO1WKFfcBP54z38muAHMbS/uw+Gwq9zV7NHazxdCoyHKFTeBMrDLVea+uV3K7S65q9nvu5FCCDEisrYQQoyErC2EECMhawshxEiMbW3eDmwktyvEa33vPwudfpB0Xin32+UXF438jb6w4gPfIVt6cvP14+Mjl8e0udvv4eEh5F1oExpzPB6R6/tFo29vbxxO0i3fMeMqgGff693C8/kcOr2Q302B13Mc/f7+Hlb4wSOZfHVqnPv6+uo13qenJ/YZk/TPT9+EddmOdWdga1OOsAmbeB2jaU7hV4NiGzzmLWiOszrOTaiXi57Do4+xJ+Iu7NUW0C17xkDwILF2QvKkVAXzqk3QJIi+HBg3a1MTdpyTbpNnHxt7iRvGtH5oq1jczLLPoZxOJ8chEzshxXLknvAMgZfc4XBwFHcMv2s7/qDNy8sLdia+paT8mm/PwNZOJEJd2osbNWAsNc4xr6OPruZ8UTU3hmep0LhQ2CsXllgbwwehURlMtqrjLYCDgHSMFAfEV2GAxW+5W9qzhsUgcYzLek52Jtf6RuIjGVsbFXF8WqLZa9S8CEK6OdrOFjWOrRcDW5tCNE3HfsS/eBxPad8acK6r2rkxeE0nfqwUZFy1Nk+cGHJoVwazq+p4C/C7/HlAelk7dqsjSc/UpWmaTcch25GMpYzXGIrruP5NSn4vckfzbHHn926PfV0bL26AqZsU2nP2xIsjtLeRdG7UzjXQIbpNBDq3V15MhsbUGGkBzLeq452DLzbM8yV6XcHVbivlAjy5OKpxkQuwBHEwJgaOx46FNqUJRWJEeHDV2u4XSfILL1yC1xVHDe7Q4GNbG/BvK5ArDC++0PiYaY7WNsKiD7CkXi5eTJfM34RFEWHFhbDIlbK1uW8Fp7tj8wr4TuYyyGV90Nja8RuSlcbLCy/5+418txD4DhaK5DkgsTbAqvjkQb/7Wju/6sKzBYZpQXzr8t7EPbC1cYhxQKES1rN8HNb9ef2EWyYbuIAXFrrFDoR2q1ymzHWb75ULiEO3k1625yK025KPl0sSbMKX19JcCbYWY8R/Z7OxtQ3qBntie+UCB56U0nhmmQWV4wE28FInhhkfyUSg8ZUZ7EMi0+2wz6RDLowvc//8+RNL3K/MbGRga+Pg4lkPjY+pSF2SuDKlVrAkrPMj2Q3QJrfgUJDv1XYKieWdaQCKQffx5vDvdCtFe1kbuEcXqmwcWHPWpNlXkB/JxNog/tsCq3ztOZmIFzBSMN64uM7l3p1RrZ3bkEugj9D+E7xKsDZ2uhd4jqHI0Miol4s+Cz2X92odc2ouH/k2cLy1pxaPQE7ste0sMTKed0gH9gztbTAxVzaeWaTEruSS7RajNC8H7w/mjiQtv/1sQTCKORfL2hWZNEW+xKhhMYJuCz3Xy2VFj+MQ2n9S3qt1zFmbyzGvQrsHyf1qbVii1xUs6ZZ1qEs0LxlPlrF0NJ7feBWWuFuMEk8q3xjU+Hh+va4vMw5nqXwUXJVcIfE6W3gx8BWSRBbw46RTQD2tlHv2zY37wWP0jP5D+08qjZfd5kcYC0Fo9KDSeK/S0trJs5/LdB30MuLmuuLOWBnOKyQ1hlywNtfmfwqsBiLGKCbPATggcbn98vLieLbwYmBrA05XkpSWhVUboTGNxGL1cuOeQXKtvLxXWwg9ZvDiDILwGK9ybtyMZLzuHlmCr7VpzxxeBmGW4XWF16wdg9dt3HkcnazyIrc2l1ioozcTL+dwA0YXNuvI2NYWQoi9IWsLIcRIyNpCCDESsrYQQoyErC2EECMhawshxEh8Kmvzgyeh0RDltqFX7kJOp9Oz64ckF6LcNry8vNzJjYD3OwdWgCld47PjV1FuG3rlLoQffml/5/g+cwsfpKwEPyfZPjfn81gbhZjvp1oWotw29Mq9CZSBLh9ZvBXltgHldpfchM9jbUzpLoWYctvQK/cmVG63Yefl9iexNuYz/nwOjYYotw29clegsrcNey63x5gJV0Ehhr+gQ6Mhym1Dr9wVqNxuw57L7c9gbRWebVChvRCVvW3Ybbk90mSYQ4VnG1RoLwSnGZSB7Wc1vyl7b7ntb8XrlWsMb238odSlEFNuG3rlbuR4PHY50zC3vUCR2+XHFZ+ennaVS8abDwnPz8/4ayU0GqLcNvTK3YjK7Tbss9we29osxBx/AWAhym1Dr1wXVG63YYfl9tjWVuHZBhXaK1C53YYdltsDW1uFZxtUaK9G5XYb9lZuD2xtVGFdCjHltqFXriNQ52PzX44Hb29vvXIh7l657cveXrmjWhslGAoxlGOh3QrltqFXrjv4I5o/19sY5rYXaK/cw+Gwn9xRrf18ITQaotw29Mp1B+U2Tj9dyk8IdG+5Xcrt9rljvxsphBB7Q9YWQoiRkLWFEGIkZG0hhBiJ/tb+cbktl+R3evH73oj7ra9x5+BXdGtwpVy+N2VMvuFW2KuNWHreZ/wsgJY3b9Qbb4Gqr6s53t7eQuQFPPu+79rxnTH0nHxv6vl8ZiJxvOcBPTORJD0fj8ewIuL19dV31E9PT+g2+erUnz9/xjv2/v7uEsqshHhEh8MhLL3gPljS2dqcPHQEb/aKxZ2vdZxgmDPoMDQumC/q5aLn8OhDlIm4C3u1BfQJMAocXjxI+uSe2Bi5Dy65V6k03jLJ84vp3UbcybOPXAzfZVbTUH/99Ref38Ta8T3U/ESfl7hv6plD9v1Yip2oYmtT2RZ0Op2SDbzgd23HI0qalehs7cfHx1hbmDw4vjZvsTaWONeGxjbieZtTLzchcVZ5r1yYtHaykLsRK6YSDcY7CVyTP7+1Z1oObeKby7K6/BsFGH6lz+CUe3bPxSsWlkSfGHIsZf4FYEt8T1QxKL2RHt/29/mtjYOOwx2XOZjAtoSPY3fkS1aDYx2fLWKq5iZgH7AnoVHcKy8mrU1t2QDZTLapQYPx5rR8fsvA2jgCvjN8ibVr5JJCz1Tn+/t7aHuAOLyeQexowALcNM2me63NEf3zn/+Mx7tfa+NpwONJd9jajbAfRpCwonJuDDpMgpgyuVde5KGEcYiGvPCgjcIQVHu8OYxLvIbp5/78llmi1xVc7RZPPQaLk6W7Wco9Q2e+F3kpTdS5SWVNEIfjAIHilYy1NQrtyRF9fmsDHNm42qIyOH/q2RN9op+4KxQIaPJxvVwyJ6nyXnmBztFnMjrCuLm17rQZb05fa8dvSNaY21etzcsyvjUvKfTMatf3FAU/0sWT1gb2zqF7lQ3m6neeLUi9D0x2tjanECu7ZBrXtjYcEdofNT4S8bhebgKDrNvyXnmBuHx0jMYqJvJxWFeNNuPN4WHvZW2D+kaor7vL1qZYaxSehZ7xROPw+hbaGKYV9bm1kchCGKcQrMKO+aZb/4U+X15ekJtcP/Gis7UBZxHhTOa85XLMZG4GuHb77GI/yRVV67lebg76RM/oH4/Le+VFnGhAnXEuHmOb2hdJ2ow3Z/L5bW9tcLUuXkGhzy5VNqBVHYeJ5w4dIm7O2qiy8boyXbqfq/LESbgbNSru/taOYbVFX8SPSb5kNehnzhdVcxPQZ9xzYa+8yK1Ne/JMSbikgcUajDen5fNbBomY/LBJaHswZ20ur6FsKmyuZ54R3Qtt9InhJNDUSEwuLnOJ1z4s7w3lNuqhz29tHPf4T2Y8jucwq6TQ2AblFRrZvK2Xm8Ce8Tpgs7xXLjDCEgEeY0k8XpAvqUGD8U5yJ3f+8SJJg1qbb9zVeJfsas9lp7vACKt8J63qaG3GLbn0kd8X6EUVGa2DcxhTN7T/vJ+XcolLwi2wNyv0krNFvdx4dJRUrI/yXrnAg4yg0L6QHHnk5tvUoMF4J0meX0xCr+e3TPLsIxdH3tekubU5QCz0DQJLeoYusUG99+VAYm1gpwruGK+QXL2gsZCFI1ou9xV0tjZ9QSZnLCcY8Z1aVAYxcRiVcuPxgrzn8l6tJvSYgWFyg6tPRCUqjfcq9V5XBahUA7leU5r2zPn+/bu5NQZP8fboqz1zAzytNcxl5NYGXGi75HXawIhgbYxoskN+VJKhwOs8kXNHtbYQQoiryNpCCDESsrYQQoyErC2EECMhawshxEjI2kIIMRJ3Z+1vl488hEZDlNuGvrlVb0GbpFcuv95ob7lVbwyfpEtuh/lTBi9xu4m4JcptQ69cTK1eub6fWV8Ic9vbs1fu4eMrAEO7FV1y78vaKExafsTDUG4b+ua2n9K9clEA9so9Rr9J1gzmdim0u+Tel7XxUutSECm3Db1yMbX2ltul8OyV+/T0tKvcO7I2Xt/48zk0GqLcNvTNbT+1kPvQ4wovv9Fpb7ntC95euaDDLJoDhRj+ogyNhii3Db1yUQDuMLe9PZHb4Me3clDw7ioX3Iu1VXi2YZ+57acWclVoN2CHhTboMJEmUeHZBhXabVCh3YYdFtrgLqzNb5oOjYYotw19c9tPLeR2KTz3lvvz588uBS+/kbVXoQ06zKWc5+fnr/V/OSVHuW3YW+7pdEJue4sptw0vLy9dco3+1mZB9Kv+L6ckKLcNfXN9f99rCchFAajc2jC33i8PzMFCu31uTH9rqwBsg3LboIK3DbsttEFna7MgUuFZm33mquCtTd/cfRbaoLO1cdYCodEQ5bZhb7nn8xm57Qsx5bahV25CT2ujBENBhNNmaLdCuW3omItCrFfu+/t7aLdih7koeO0n2JvB3Eo/u34TPa39fCE0GqLcNuwt93Q6Ibf9lFZuG15eXpDb8YY/o/+7kUIIIZYjawshxEjI2kIIMRKythBCjISPtX9cbo8lX6fuuPp2+fU88Mv71l1+qZuR9F8j1/okz3++8fX4+BhWREwek3UURnT1WahB7fGWsaPR7JZhDI2J5Lv3r4u9vb2x58kRYe3Dw8Pc2nWcz2cmksmv+edX3IUtKhzt4/GIbuP7oJ+enpgV8/r6uv1NyOU9c8vud2fnOFib3uSNVlAJHseT9vch+fIFs4svd19rw5joMzQuWP+X2Cq5GG949CHKRNwx3AC7Edob+D2e+RGVn4VmOI63DCViR6OZteEXm978OlYvcZdHxLV//fWX+3jjEdHOibhPpxMS4yW+s9hORQU/4nWFbWp8zR6/girvecle9cLB2qi2Ym3hZYeh5s/rpGu2EHuqgHtuQn7miMHBAaHhxOSIFj4Ltakx3jLuFrsJKA/j9VUJi9+5EZXXbicZET1e76ZsvETRPxIxqIIfUfZimxp33U32jL06HA5X96oXW62N4WFgcW01V2252xPHtFDkGg2sjT0JjT9ZeF65lXxEy5+FqlQab5m+1kYdimf/M1k7GREkjle47wBjEIdnEMDdc36sd+awnpMB8stGynvVkVrWxoBD+wMswXJHezIF0XhAwoo/cc+NKXeOVflx2E4euvxZqEr7RMCj0cXaOOyY1e5S62jtfERo4gjjpYUHyAWOg6U0UediUHgw50eUvS5XtHMme164Vx1xuEKCJzKueVlw5bOXs2tOcLdCT8VB/HOGj2N8c8nVUwXgNr65ZHJEWLLkWahHvfGW4dHoYm1e8HWvATtaOxkRnk3KGgeZakPpjaaXQCFNXkMv+JHXl2uoc67nJXvVFwdrc7pCE3iMpxmPQe6LSdeshkHxpYm5awK+uQkcez5Y7l6+3IXJES18FipRdbxleDQSi+EEdjkAf2CuKa+luRJyT3Ezr7ciY3pZ20Zkg8XTCm3FF0wwy7DE5V1BDMSK+jk/YgcqFdpzPXOveJl7bq+642BtQGUQTuDa9mRKXF0CLMnF4ZubM9l/1dC5zpc8C5WofZALMLpS7TlHpSqblL1cXruayRHhCYW2zK0ES7ZrlPa3uDk/1vPmZM+8nwR7VT6XdMfH2jGseVn0xbhPbPR2D9bmtYh4vDRmvideLBnR3LNQg9rjLcOj0dLaTKykbFD2cnntOtjn5IigrRrWphARmhBn4XXVvtCe26sat6+sxt/aGGF84cJY4pqbYIeh0fBskcAKN+6fidif0PZmyYjmnoUa1B5vGaY3szZP0lX/iGlsbb75NnfRg3G2Cs8yNk5u6N4OdZlUtVxY4+xoPZdHMblX94CztQsTeIlrbgJdoUPoic1mZ4t4dHiMzhER2hewBIRGBa6OqPAs1OAy3IrjLcPBtrE2jjmmMeJ8nZVAUbax9tURcQNMLm5wqnCnI5j0I8ph7FiNIndhz5/Z2pw2JPdmWJHh8sc7XlKhu6mrJZNsz43HC5Kyi7uU7IwLjMvhiMrPQj3qjbcMXZPj8rqawxwX42WxuRHxDc/y2tUsGVG8jenbl9yPCIVba8RZz7u2thBCiGbI2kIIMRKythBCjISsLYQQIyFrCyHESMjaQggxEnu09vOF0GiIcsVN8OuNatxpV6ZvbvtPIfbKXc0erc2Pxvzy+9zNQpQrbgIqqfHtVFdhbntrHz6+bC+0W9ErdzU7vUKCGvBrj+/NUK5YCArAGp9CvErH3OPx2KXQ7pK7hZ1aW2VvG1RurwYq6VJoM7e9tXvlPj09jVVog/2+G6mytw0qt1fw9+V3hNurhN8k1Su3fcHbK3cj+7W2yt42qNxeAQrPb9++dSl4e+XW+P31q6DQ7pK7kf1aG6jsbYPK7ZtQod2GQQttsGtrY3qgDAyNhihXFFCh3YZBC22w97n0+PiYfNVqG5QrJvlx+dmB9irpm9u+4OWPjY1YaIO9W1tlbxtUbi/kdDp9/fhB9JbsLffl5aVLrguaSCp7G6Fy+yosPNv8Lk/M3nJZaN/hzx0sRNZW2dsIldtXUaHdhqELbaBZ9BuVvW1QuV1AhXYbRi+0gaz9G6gEQgmNhihXGOfzuUsBqNzhkLUD+OMdf8KHRkOUK8Cvyy/qvr+/h3Yrdph7OByQK2t/BlAGdrnqqlwBTqfTc52fPy+zt9yXlxfkDnrDn6H5I4QQIyFrCyHESMjaQggxErK2EEKMxK6tzc99GPZtol+/fg2LLjje88D34ozn7GcVf1y+19RAM6zYxtURxYcCOxmW1qfSeK8S5+LghKVO2LOc34yM4/zw8MC12Mzr7bjz+cw+Sf41/xZKatz6djwe0XM+ZH61HnOByw3aT09PobuI19dXDoq/AxmWXmZZ+7c9q7Jfa+O5xDMaGhfM2vE9xdSZl7jjfiiOWNxcYtLkHtpebaE8Ii6hMREX70NV6o23TDJezHAvcVMWGBFPk4mhkIsNeLsbc73EDWNaP7RkIm4sqfr9dibKZMin0wkL43s2ajy//OCMDRBHwEbKVZ9M3Du1djxvrwLlxdZzJDlzcKrby5o7iX/ZdCQZER7H2oJK4r2qR7PxJsBx8cmS43WpAQ0Wv0mfyMWQTR8wHbapYRME4TmNe65qbZ6BkJgMmeePBjdlo/RG+tz9fPmZY3R2am08x/G8LYMtsX1ouJL0TH2YttisUZvEuSx4Y1fmSyrRbLwxVAyyQjsr+V3IrY0U5KIEDu2pJV7AU3h+m1kbcTgbAaTEQ+bZsVKoYeeGuSAeDVl7eDCj8CKjJkhYkYFJjrXLFb8c7AB6TiR12ZffBoHL8KCGOpMRTboSS7B7oVETBIGq402Ys7bveHNr8zgn1Tf2BLm+XuMAE11iSSVrU5roGUPGg3iAh8Ph9fUVA8dyjB3UUCdT5obGvRr6W0dy9mhtagvYRMWpGE0+TsCrH6swsUN7M5y9JCz6E+4MSEzqRTIi7k8va4Pa483BNI5PwzxhfBpr84JAcl3CvAl849Azr6En1ubJA3GmVJTeaPqKm9fTcynHb0h+piqb7NfakEVoz/+NTMFVKgA5jWNZcMewhPuTrHUhH1FHa5fHy11NCOtm1pqPyms5ZB4Ek4tF03oJ9n/La41e1ubu5feQGJNOXw2GiUPNrElrY5bZnuBZxhLHkh8R5UIbUN/lbYZjv9bGqy20L2BJ4inOfKtJa4BERGB/2MRLPN4r7oDjOWNyRLRJvJDHJzkaNag93gIcNYFoMLGxJKzzYM7asS7pNUdrLzSy1+VmWtjiJq2dBF2V7E0w8erVj4WbDcQerQ3w4o59AbAk9hR9WlXZAIZCihV9eBy7w9eecyPCEtsHki+pQe3xLqfGeHNrIwXuqPduJBOXFNGQe1wCr4Y2RGiCmRqOrmdtvFoW9jZ5K+TQ7NTaVFhoZPMWD9D0Lb4mYf2F1x8eTzorX7KO8ogwh+MU7lVoVKPqeG8CZnGxWExubVDvzj88vxDTwosP+X2BLlDi8ZC5xC4r21nKJZqd4yx1tbe5a9/jslNrUxlWbnPe8jFXATZ9wQs3PPo4VcSSwmMssW2wV2jS6Vu4OiI6nbncuMEZC1Qa700k++DFpLXpVpbDGCYe4zhvVxi7QtySrrhjS0ryW8mtzR3D08od86rxCQptDGTyncafP39aCj9lo+vanwTqiZi+QbzcMKdvhI4wcjnGG3iFLhkRxU3aKJvUGO9VklDH+Ux75thlEIqbC12UDczaMfG4cE6KN0jOJV7k1gbxvpm+t4Nu88svBveEoaDejeq92K+1hRBiRGRtIYQYCVlbCCFGQtYWQoiRkLWFEGIkZG0hhBgJWfs2ni+ERkP2lis2wo+WtL/jrW/u5/uiqElk7dv4cflozK+2nwQBe8sVG4HCunyGu1fu4XD4TJ9ZLyNr3wxqz6/NP3UN9pYrVoPC0/fTQwtB7jH6LbRmMHcnhTaQtW9G5ba4c6CwLoVnr9ynp6f9FNpA1l6Dym1xt9iPy4R2K/rm7qfQBrL2GlRui7sFBa/XN5zcBHK7fOMHCu3P900jZWTtlajcFneICu09IGuvhF+SFxoN2VuuuAkV2ntA83A9j4+PLb/U1NhbrljIj8s3srZXWK9cfnf23gptIGuvR+W2uCtOp9NX7198X8LecrujSbgJldviTmDBW+kXDwr0zf1Mvyu2HFl7Eyq3xZ2gQns/aAZuReW26I4K7V0ha28FCoPIQqMhe8sVBc7nc5fCc2+5d4Ks7cCXL1/+/vvv0GjI3nLFJL8uv6hb42fXy3TMPRwOyJW1xXpQfna52ru3XDHJ6XR69vv58+XsLfd+0NwTQoiRkLWFEGIkZG0hhBgJWVsIIUZC1l4JP29i2LeY8p0649nvRxev9vzj8n2q5Kvf9/Ohq9Dphcm7R2zfHL/NtZy7ZK/WUe45fxa83hY7n8+h0wvfv38PKzKOxyM2qHGX9GTPDw8Plz0KvL6+ugyZWQnWOY5GnLurHz24iqy9BsxVvJJC44LZKp7k1KiXuMs9Yy2WYDkeY2fw2Evc8d3ZTIn3BE0Al1F2jtYu52LO2zTO126h3HP8mJ/18BJ3koueJ8XNn7XFXrlbe65nLGzwvXo8mBb09PRkXwvFr2OVuA1Z+2Y4k+nHq+R+9yLpGY6LJc6S0NGhBoJinxru1k6YyyVQHtbWmNXlnk+nE0bdLBeHF/7CcoT6WrvQcxtrc7xzX+AHiRfW7g1Z+2bw6on9WAZbYvvQcCXuGVMOkw2mZhOwGI+XeDE3otrWLh9Jrq1hFni50HN57RYme8ZCHGceal9rF3puYG1W04UP7PBoyNpE1r4ZvKzx4o6vb4YVGZwDNUSW9DxnbWwW2k4wCIoM7Yh6gwWFXIC1mPNza7dgPU86i1eife1JJnN52QRL3HPtl2gme8aq2tY+HA6Fy+U4Gthg7lnYIbL2bVAfwISIEgBNPiZLhL6OQs9YEmuLl3HcrY0IdDt5daiqtQu5oLx2Cyjx0HNSA8bPQiWPTObCnrzS7W5t9lyw9u+hXqgxXl5PLwxn8mjsGVn7NmhtmDq0i9ciOL3d1QnynrmE75XlpxYXKEdG5Exam/8lIay7ttYo506unezZjFNea1AWc7nAngX7v/wvCQvXGtwseSsSPsVuc2Nfay/vuYY98YKBsguFth2NuQ12iKx9GxQiXuWhfQFL5vw46TIX8p4pEcL9xJKwbjM0XaGerTTScu7VvVrNQkP5ChRM5mKAUJstdAy9tefj8WiKdwGJhUK7xnniEyBr3wxeRsutjUoNawv12mrKPWM2OubSyGU51rB2OXfJXq2DPS+RBY4wpJPUxauhNPNcLs/ZLtBbe4ZGHd99xaulUGhT6FJ2jqx9M5zSoXHNj6x/3StQUO4Zsy6+jLMFnh6ulu3u1i7nLtyrFdzUM58Fl7IXuZAUOrzqRKrWscA3rvbse4dlwct8g7TBHYcjImvfDMSEV7aV24kf49KPQofOQnsby3umQOPtV8PBgtCex9fa5VysxZTGWvcpfbXn5FnAxhj49t24aUS9rF2Q7DoOhwPi8vv5cDTmVgkga6/BnAJM34TyMhyLwXLP8VqvKhvEIzXi/sOiDFSOYYtVlHPNcTEuNeDVnis9vzeNqKW1eWa67M5vHEM55MlLMVhFa8fgaEjiRNYWQoiRkLWFEGIkZG0hhBgJWVsIIUZC1hZCiJGQtYUQYiRk7XY8XwiNhvTKFYPCr3PafhvlrTBXt/ddRdZuBz8a86vC5yTL9MoVgwJ1dvm2psPhoG+JWoKs3RTUvF9dv4dvIb1yxXCg4HX5vNKtIPd4PKrQXoKs3RSV2+LOgTq7FLy9ckdE1m6Nym1xt9iP2oR2K5irQnshsnZrVG6LuwUF75IvHXQHufp6v+XI2h1QuS3uEBXaoyBrd4Df4BwaDemVK4ZAhfYoaA734fHx0fFLXJfTK1fcOT8u38jaXp3MVaF9E7J2H1Rui7vidDp99fh5h1vplTs0msDdULkt7gQWvDV+ZqFMr9zRkbW7oXJb3AkqtMdCs7cnKrdFd1RoD4es3ROoEwINjYb0yhV3yPl87lLw9sr9BMjanfmy+Ydx19ErV9wVvy4/uev4s+sL6ZX7OZC1O4Oyt8tV5l654q44nU7PU7+SXpteuZ8DzVshhBgJWVsIIUZC1hZCiJGQtYUQYiRk7Q7wcy7G5LenPj4+zq3ayGTP8S5VupV7bkR8X3RylQvH4xGdx/cFf/36lYmk0r00ee7b2xsTSaW34/LcmPLaW2FvCa+vr/G4+GuQWK5bs72QtVuDuYpXcGhcaCmyyZ6p7B8/fuAxluOxu7gnc7kEq6hR98ECy42VAdeYVjh2d3FP5sYp/IyJu7jLiqwtUA7KvsDvcDggC008v1gua3shazcl9uMc9GaNWnuuZyzBvAqND+OEhgdXR1TJ2ugQsmBuQRmQOLZxtOfC3NPphA2a5S7cqy3MHcnz+SxrOyJrNwWvaZRXoTEDNoDFaohssmecQtBMysBkyUaujqiwagtxbkEZ2GzSNavh12tczcVmLXMX7tVq+OMGkx+ckbV9kbWbggmDaWN/PoOw4gMW43jA2eUosrmeuTNJEJZgs9DYxpIRuQ8WMBdOZOdzykAohAJxh/ZmkIsOkQtVFXLLa1dQzrXfqXHPNdB/ckXbkLV9kbXbAUFgwgATIv9c5WOCJqYfHriLbK7n2taey41xHyyAJuLcOWXA11hbvmZ1E8j9/v07Hkz6MX5DclJwq2HunJfLa7fDK+Zz3cravsja7YCVMGFg6tD+uBYBb7IJv1jR5yuyQs9XrU2vJXAVKK9dOKLJVStyzYN57qQy2AnlbvByc4L1XF4LPaFPNst+pL6xbwt73pK7fK/WgScOUp4rtAFCZW1HZO124MWNCWM2IViCqYsHNLgVfZMiW0e5Z1rb1gLuJ/dqC8tH5DhYMJmbK4PKjge+EXQFN9mF3at+9BJoOffWvVrBVSlf3UDchKzdFEyYOWtTLjnJ9iso94xZjcdxvZkvWcfyEXFLL2svyeU2GGloe0Ah5iB3sgjFEYbLeDllC+XcW/fqVvCsYRSFQhvI2r7I2k2hLEKj6EdfkcXkPT9WvvOPFEZUb7CAncfKwAHHErswVQnqsqAqXiRxd1k59+pe3QqNXP7OVVnbF1m7KRAT5owVfXgQX+aOqSeyvGdajIUn97CG0e7E2kiBQbDEpdIskPsxLu3xGLuBfXPfjcbWXnIwZW1fZO3WUIvE9J1TT2STPVPcpFIRmucyLmfyj4/VzFk7xve+aZL7kUsMHOcaZ46W1ubBnLvYws9G5vBulrCRuB1ZWwghRkLWFkKIkZC1hRBiJGRtIYQYCVlbCCFGQtYWQoiRkLXH4PlCaAhxr/BrpHRjX1Vk7THgpyhr3L4thCNQtm7Hro2sPQyotb9u/kYnIeqBQjv+dTdRCVl7GFRuizsHylah3QBZeyRUbou7xX4uJ7RFNWTtkVC5Le4WFNr26+yiKrL2YKjcFneICu2WyNqDwS/nCw0h7gMV2i3R/B+Px8fH2t/oL8Ry+F3hUnYzZO3xULkt7orT6fS1ws87iDk0+YdE5ba4E1ho63dqWiJrD4nKbXEnqNBuj2b+qKjcFt1Rod0FWXtUoOy5XwoWog3n81mFdntk7YH54v3DuEIshz/1+/7+HtqiFbL2wKDc1tVt0YvT6fQ88+vsoiqa80IIMRKythBCjISsLYQQIyFrCyHESMjag8HP1xjxt7aGRR/4fjVgIReU125hrufj8RgWRTgOOcmNb0nmTcphxZcvvjdRIDfufC7X8X67uSNp/fP7/LhcXxF1D8jaI/H8/IyZExoXEmtX+txNObe8dgvLe4bRHId/Op3QW6wny6U6LYhben3MpJBLm/MMgYV4XOlGaQ7Q7Exlx7kSd3dk7WFg9YdJFdoZjtqKKede3avV3NQzCsbHx0cXmzB3roKGK7HWNI2NIbLv37+zuQV2NZeLAca32fGn0Gt8KDE5kmjGpwf9BPs9IGsPA+YS5m1oTAGb1LB2OffqXq1mec++Z47Ejwk4wshCYtx0sWchNy9yMdhkiQtxZQ2YEv8UZL5EtEfWHgbYAVUPNUHCig+wpIa10W0hF83yXq0GXS3sGR7BlqGxGfYW5yaGwgZYiA0cC21QyJ2zNrb3tWfS52RFjyWvr6++ueImZO0xwLzlTDY9oRRFk48JNyBh0WbKuUv2ah3Le6bmvK4V0I9xLkpgNBNJcSGokcusJBdr40qcJwzb2IXc0bL2feI2vUVVaDGYK7Qv1RaWwFmhHYHpjVXYILQ/liSEdcW15dyre1Up16DszLDGZM8mmsJadohc2xi5WGK5lsjl+I+xOvl2YsKStXO5Vl9ToKzruTH+r0WvzjVsXPFyWfs+kbXHAJMKMw26Ce0LWJILi2D+Jxuvo5x7614tZ2HPaGKhV8ELKC/kxlaizvg4ufpMIW6/SFLItSV0KOI4ZDx2vK59Pp/ZbWhfYGL8Bin3U9bui6w9DJhUy/2ILeNCdQvl3Jv26iau9kyDuGTFoE/k5vbEAybG9b7tw3aLzeVO9sxK3OuS+twoLMWW50tEe2TtYcCkgrZC4zJ/0LSbGRKgbC9rl3Nv2qubuNozN8Dy0HaC3SaeYu7keWLSdytgtZv7kc0E1Ph4fr3UyejJmw7xt0U8OlbfXrliHbL2MEAZmFpWfuLBnJd9dVbOXb5Xt3K1Z+gDG7gbhGpGHHtO/Mhja4LjFRKXSzTl3JiCZNdROJL6lM0dImuPBEVGTGeEpaiBLcMKDwq5oLx2C4WesYqOC21X2LnlJpKiuMmcWNdRyKWpSY3QfJiGPtF+b8jaQggxErK2EEKMhKwthBAjIWsLIcRIyNpCCDESsrYQQoyErC2EECMhawshxEjI2kIIMRKythBCjISsLYQQIyFrCyHESMjaQggxErK2EEKMhKwthBDj8L///R9+t7PXJl6EXQAAAABJRU5ErkJggg==\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function tf = isX3Seq(x)\r\n  tf = false;\r\nend","test_suite":"%%\r\nassert(isX3Seq(108))\r\n\r\n%%\r\nassert(~isX3Seq(144))\r\n\r\n%%\r\nassert(~isX3Seq(200))\r\n\r\n%%\r\nassert(~isX3Seq(256))\r\n\r\n%%\r\nassert(isX3Seq(300))\r\n\r\n%%\r\nassert(isX3Seq(432))\r\n\r\n%%\r\nassert(~isX3Seq(500))\r\n\r\n%%\r\nassert(~isX3Seq(648))\r\n\r\n%%\r\nassert(~isX3Seq(660))\r\n\r\n%%\r\nassert(~isX3Seq(768))\r\n\r\n%%\r\nassert(isX3Seq(1200))\r\n\r\n%%\r\nassert(~isX3Seq(1553))\r\n\r\n%%\r\nassert(isX3Seq(1728))\r\n\r\n%%\r\nassert(~isX3Seq(1875))\r\n\r\n%%\r\nassert(~isX3Seq(3072))\r\n\r\n%%\r\nassert(~isX3Seq(3924))\r\n\r\n%%\r\nassert(isX3Seq(4332))\r\n\r\n%%\r\nassert(~isX3Seq(6084))\r\n\r\n%%\r\nassert(~isX3Seq(8118))\r\n\r\n%%\r\nassert(~isX3Seq(10806))\r\n\r\n%%\r\nassert(~isX3Seq(14283))\r\n\r\n%%\r\nassert(isX3Seq(18252))\r\n\r\n%%\r\nassert(~isX3Seq(26010))\r\n\r\n%%\r\nassert(~isX3Seq(31236))\r\n\r\n%%\r\nassert(~isX3Seq(42336))\r\n\r\n%%\r\nassert(~isX3Seq(49152))\r\n\r\n%%\r\nassert(isX3Seq(65712))\r\n\r\n%%\r\nassert(isX3Seq(99372))\r\n\r\n%%\r\nassert(~isX3Seq(116592))\r\n\r\n%%\r\nassert(~isX3Seq(140000))\r\n\r\n%%\r\nassert(~isX3Seq(152172))\r\n\r\n%%\r\nassert(~isX3Seq(160314))\r\n\r\n%%\r\nassert(~isX3Seq(170008))\r\n\r\n%%\r\nassert(isX3Seq(212268))\r\n\r\n%%\r\nassert(isX3Seq(248832))\r\n\r\n%%\r\nassert(isX3Seq(280908))\r\n\r\n%%\r\nassert(~isX3Seq(296274))\r\n\r\n%%\r\nassert(isX3Seq(303372))\r\n\r\n%%\r\nassert(isX3Seq(314928))\r\n\r\n%%\r\nassert(~isX3Seq(340707))\r\n\r\n%%\r\nassert(isX3Seq(489648))\r\n\r\n%%\r\nassert(~isX3Seq(3145728))\r\n\r\n%%\r\nassert(isX3Seq(7114800))\r\n\r\n%%\r\nassert(~isX3Seq(12582912))\r\n\r\n%%\r\nassert(isX3Seq(14865228))","published":true,"deleted":false,"likes_count":0,"comments_count":3,"created_by":46909,"edited_by":46909,"edited_at":"2025-06-02T16:45:27.000Z","deleted_by":null,"deleted_at":null,"solvers_count":2,"test_suite_updated_at":"2025-06-02T03:01:11.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2025-05-27T13:26:30.000Z","updated_at":"2025-06-06T14:09:48.000Z","published_at":"2025-05-27T13:26:30.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eMost numbers have interesting properties, if you look hard enough and interpret “interesting” liberally. Let’s choose a number at random—300, say—and list some of its properties:\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=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIt is divisible by the square of its largest prime factor. \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=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIt is the area of a triangle with integer sides and integer area\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=\\\"2\\\"/\u003e\u003c/w:numPr\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIt is a folding point of the non-negative integers written in a hexagonal spiral (see below), as are 1, 2, 3, 4, 5, 7, 8, 10, 12, 14, 16, 19, 21, 24, etc. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA number that shares these properties is 108: (a) It is divisible by 9, or the square of its largest prime factor (3), (b) it is the area of a triangle with sides 15, 15, and 18, and (c) it is a folding point of the hexagon (it would be to the right of 75 in the hexagon below). \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eWrite a function to determine whether a number has the three properties listed above. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"416\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"487\\\"/\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\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.png\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.png\",\"contentType\":\"image/png\",\"content\":\"data:image/png;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"term":"tag:\"300\"","current_player_id":null,"fields":[{"name":"page","type":"integer","callback":null,"default":1,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"per_page","type":"integer","callback":null,"default":50,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"sort","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"body","type":"text","callback":null,"default":"*:*","directive":null,"facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":false},{"name":"group","type":"string","callback":null,"default":null,"directive":"group","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"difficulty_rating_bin","type":"string","callback":null,"default":null,"directive":"difficulty_rating_bin","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"id","type":"integer","callback":null,"default":null,"directive":"id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"tag","type":"string","callback":null,"default":null,"directive":"tag","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"product","type":"string","callback":null,"default":null,"directive":"product","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_at","type":"timeframe","callback":{},"default":null,"directive":"created_at","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"profile_id","type":"integer","callback":null,"default":null,"directive":"author_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_by","type":"string","callback":null,"default":null,"directive":"author","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player_id","type":"integer","callback":null,"default":null,"directive":"solver_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player","type":"string","callback":null,"default":null,"directive":"solver","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"solvers_count","type":"integer","callback":null,"default":null,"directive":"solvers_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"comments_count","type":"integer","callback":null,"default":null,"directive":"comments_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"likes_count","type":"integer","callback":null,"default":null,"directive":"likes_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leader_id","type":"integer","callback":null,"default":null,"directive":"leader_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leading_solution","type":"integer","callback":null,"default":null,"directive":"leading_solution","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true}],"filters":[{"name":"asset_type","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":"\"cody:problem\"","prepend":true},{"name":"profile_id","type":"integer","callback":{},"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":"author_id","static":null,"prepend":true}],"query":{"params":{"per_page":50,"term":"tag:\"300\"","current_player":null,"sort":"map(difficulty_value,0,0,999) asc"},"parser":"MathWorks::Search::Solr::QueryParser","directives":{"term":{"directives":{"tag":[["tag:\"300\"","","\"","300","\""]]}}},"facets":{"#\u003cMathWorks::Search::Field:0x00007ffbe49126d8\u003e":null,"#\u003cMathWorks::Search::Field:0x00007ffbe4912458\u003e":null},"filters":{"#\u003cMathWorks::Search::Field:0x00007ffbe49115f8\u003e":"\"cody:problem\""},"fields":{"#\u003cMathWorks::Search::Field:0x00007ffbe4912ef8\u003e":1,"#\u003cMathWorks::Search::Field:0x00007ffbe4912e58\u003e":50,"#\u003cMathWorks::Search::Field:0x00007ffbe4912d18\u003e":"map(difficulty_value,0,0,999) asc","#\u003cMathWorks::Search::Field:0x00007ffbe4912958\u003e":"tag:\"300\""},"user_query":{"#\u003cMathWorks::Search::Field:0x00007ffbe4912958\u003e":"tag:\"300\""},"queried_facets":{}},"query_backend":{"connection":{"configuration":{"index_url":"http://index-op-v2/solr/","query_url":"http://search-op-v2/solr/","direct_access_index_urls":["http://index-op-v2/solr/"],"direct_access_query_urls":["http://search-op-v2/solr/"],"timeout":10,"vhost":"search","exchange":"search.topic","heartbeat":30,"pre_index_mode":false,"host":"rabbitmq-eks","port":5672,"username":"cody-search","password":"78X075ddcV44","virtual_host":"search","indexer":"amqp","http_logging":"true","core":"cody"},"query_connection":{"uri":"http://search-op-v2/solr/cody/","proxy":null,"connection":{"parallel_manager":null,"headers":{"User-Agent":"Faraday v1.0.1"},"params":{},"options":{"params_encoder":"Faraday::FlatParamsEncoder","proxy":null,"bind":null,"timeout":null,"open_timeout":null,"read_timeout":null,"write_timeout":null,"boundary":null,"oauth":null,"context":null,"on_data":null},"ssl":{"verify":true,"ca_file":null,"ca_path":null,"verify_mode":null,"cert_store":null,"client_cert":null,"client_key":null,"certificate":null,"private_key":null,"verify_depth":null,"version":null,"min_version":null,"max_version":null},"default_parallel_manager":null,"builder":{"adapter":{"name":"Faraday::Adapter::NetHttp","args":[],"block":null},"handlers":[{"name":"Faraday::Response::RaiseError","args":[],"block":null}],"app":{"app":{"ssl_cert_store":{"verify_callback":null,"error":null,"error_string":null,"chain":null,"time":null},"app":{},"connection_options":{},"config_block":null}}},"url_prefix":"http://search-op-v2/solr/cody/","manual_proxy":false,"proxy":null},"update_format":"RSolr::JSON::Generator","update_path":"update","options":{"url":"http://search-op-v2/solr/cody"}}},"query":{"params":{"per_page":50,"term":"tag:\"300\"","current_player":null,"sort":"map(difficulty_value,0,0,999) asc"},"parser":"MathWorks::Search::Solr::QueryParser","directives":{"term":{"directives":{"tag":[["tag:\"300\"","","\"","300","\""]]}}},"facets":{"#\u003cMathWorks::Search::Field:0x00007ffbe49126d8\u003e":null,"#\u003cMathWorks::Search::Field:0x00007ffbe4912458\u003e":null},"filters":{"#\u003cMathWorks::Search::Field:0x00007ffbe49115f8\u003e":"\"cody:problem\""},"fields":{"#\u003cMathWorks::Search::Field:0x00007ffbe4912ef8\u003e":1,"#\u003cMathWorks::Search::Field:0x00007ffbe4912e58\u003e":50,"#\u003cMathWorks::Search::Field:0x00007ffbe4912d18\u003e":"map(difficulty_value,0,0,999) asc","#\u003cMathWorks::Search::Field:0x00007ffbe4912958\u003e":"tag:\"300\""},"user_query":{"#\u003cMathWorks::Search::Field:0x00007ffbe4912958\u003e":"tag:\"300\""},"queried_facets":{}},"options":{"fields":["id","difficulty_rating"]},"join":" "},"results":[{"id":60925,"difficulty_rating":"medium"}]}}