{"group":{"group":{"id":58397,"name":"Easy Sequences Volume VI","lockable":false,"created_at":"2022-12-12T11:46:58.000Z","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":5347,"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: 20.440001px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 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: 0px 0px; transform-origin: 0px 0px; \"\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":"2022-12-12T18:26:33.000Z"},"current_player":null},"problems":[{"id":52784,"title":"Easy Sequences 38: Prime Number Delta","description":"The Prime Number Theorem states that:\r\n                                    \r\nwhere is the prime counting function (number of prime numbers ), and is the natural logarithm of . The convergence of the abovementioned limit, first conjectured by Legendre in 1798, is now well established.\r\nIn this exercise we are more concerned with the difference function , defined as follows:\r\n                                \r\nwhere the symbol  means rounding-off to nearest integer.  appears divergent and seems to increase without bound as  increases. \r\nGiven a number , our goal is to find the value of integer  when  first exceeds .\r\nAs an example, if , the value of  is  since:\r\n                                ,\r\nand for all , .","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: 377px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 188.5px; transform-origin: 407px 188.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.5px 8px; transform-origin: 14.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.britannica.com/science/prime-number-theorem\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime Number Theorem \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: 35px 8px; transform-origin: 35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003estates that:\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; 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height: 36px;\" width=\"115\" height=\"36\"\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=\"\"\u003ewhere \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 31px; height: 18.5px;\" width=\"31\" 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: 180px 8px; transform-origin: 180px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis the prime counting function (number of prime numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADIAAAAkCAYAAADLsGk3AAABMUlEQVRYhe2XbQ2DMBCGHw91gAEMoAAFc4CDOZgFNCABD7MwDVjofrRkx9c2KC2Q3JNclrSB68t9daAoiqIo58IA5dGHCMEAd6DzdjmkAOvtceiJVrIkIDvyUGu4vIAMqEknIAeKmXXj11f77QVY4gsogYbhx5Id8Cb2Wpyon6QU0JML373Pxq+VOBEP/9tMnp5hLKAmfQ203vcTJ7DbcoZCvMj6l1T8GcqduAv/TwKH7Di9UgoqmKZXMEcJijZglwTFqB8DvPh0qCikmCkNw4YTNfqxpnyFi4askyQ36rGgkNtvzjAC4zox7Fj8S/SCXhueueEi0DG8msh5krFDK16D4f+clvPC4tJKUv3YPw05LlVa5r+0wTWWpf2vFDvYKbCBdpq/um2gRe8qiqIo1+YNTlOaOCB9ziIAAAAASUVORK5CYII=\" 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: 20.5px 8px; transform-origin: 20.5px 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: 41.5px; height: 18.5px;\" width=\"41.5\" 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: 82px 8px; transform-origin: 82px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eis the natural logarithm of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\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: 18.5px 8px; transform-origin: 18.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The convergence of the abovementioned limit, first conjectured by Legendre in 1798, is now well established.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 211.5px 8px; transform-origin: 211.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn this exercise we are more concerned with the difference function \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);\"\u003eΔ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 62px 8px; transform-origin: 62px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, defined as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35.5px; 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 17.75px; text-align: left; transform-origin: 384px 17.75px; 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: 64px 8px; transform-origin: 64px 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,iVBORw0KGgoAAAANSUhEUgAAASoAAABHCAYAAACwJwofAAAIxklEQVR4nO2d0ZHqPAyFTw/pgAZoYCugAjqgAzrYFnj/3yhhe9gW9rZAC/wPuRqLrJPYlp1Y3PPNZO7MwiXBxCeSLFkAIYQQQgghhBBCCCGEEEIIIZl8zBzHPS/KMUfMjykhpJDnzPG150U55gvzY0oIKeQJ4AZaVLWIWVQXUKgIMfEEcN37It6cD1CoCDFBoWoPhYoQIxSq9lCoCDFCoWoPhYoQIxSq9lCoCDHiTagGjBP/EHlNVtx6g0JFiBEPQjUA+ATwjdc8r0G9rvOXTjtc4xIUKkKMeBEqsaBuCIIkuV7fAO4IYtVbDphLoTqiruJfKn7WO3NBeAJbeaeESA9CpZFJ/wRwxmhp3Xa9onXcCdURryZrDU4NPvPduGG8qWsxYHyC1/zMvfAmVEAQqu+/R+9sIlRH1BGBI8ZBbSEo54af7Z0b2lidA8Yx9y5WHoVKx6M8WLabCNUDo3lpYfj7OS1XJK7o3wTemivaFtcOAH7gY7LM4VGorghC5eHh3FyozqgzIF9oLyIyaXpb8dgLuTliy9g1ucCH+zGHR6GSIt8n+kxHmNJcqH4QBqTUfdhqwgCjsD7g4ynTmi0eDsIP/E12wZtQHfG6dYrV29mCpkKlVxeeGG/GEgHYcsKIi/mvrwRu+XAAxon+2OhctfEkVOI1nBHiVB6s2aZC9YVxUCxWlaj/lu7YDeM1/8vcse0NfEBYLveGJ6G6I1hQsTjVBX2GPpoJldx4F7zGqXJv/k9sH/CT6/Uc4LUwYB+X4AfjRPJGz0J1wnhtR4wPYL0wMs2nkpXvHmkmVDeEWI+4UyXp+aV5HpZ6JrHiPLt/B8zvO62P2PicUG7Fzo3t0u8h3OHT/etZqNZCL4+V13uhiVCJNaWfyNrMzBGenL2na9YzyfayuciEtB6lsaEzXl3ttSNmNcpvlboadEIQmdjYntVrS4m1ct6t4mK16FmoJL3khvi4n1Ze74UmQiWBUX3DiXjlLImKZZN6E9SsZ8oRSM10AaH0KLHm9HdOOebicHfk3RQyjvo3FhfuhJBH98Cya5crkL3Qs1C9C9WFSty82A2pJ1JKLEIuruQmsNYzyUJALlLiYz1y3a5PjGN6QBAMff0Sd0uJO4mQl6BXko74/cBaQn4zbwF1ClV7qgvVUiB6mr+xFqy2CBXUeUriXJbJujUDXi0wsUz0uMn3SbFWLN996uLnCG7p713D1bZAoWpPdaH6wbLLpGNEaxaOVags9UyehGqKxIOmLllqoNry3bUlm7uCV/p7W91sawCfQtWeqkKVslo0jeEsBfCsQmWpZ/JSVT5FLFrt9km5RKrraxVpGfPc9IbS1Uarm21NiaBQtaeqUH0hbXLrVamlm1ksgdKbwFLPVBpM33vVT0RGj6uMd2rsR2KJJUjmc8n4MZhO5qgmVPJBKatVOgF0zdopFQxrPVPJ/wH2XfXTq24y2fU4pFqVFsGQFcMSS1bO2/MyeQwKVXuqCZWUnaTeZDrnZmlSlqy+WeuZLKtPe636AcESekT+pr//CcsWW+n3v2Acdy3WOd+jdKV1b5aE6j/UeXD9K8efmXGsIlQlLpqOHy0JnLhvOU9Zaz2TnNNT4qF2c7XwS/KrCJWkDKyRu4eYWG4yxlNLVnb0XDunx/3AKFROhErq8SzHnFWVUqxau55JrBoPHPAa85tuUaPHWKzLFEtprTB7wDjmZ4xjPN3UUFuyB6ynKsjv5C0+BeQ/pEk+ZqGa1vGVHkvisSYc+nOs9Uzeqvi1JfXEbzH4nryeusK1JhzaUo09aKbXtRZz87xjBYWqPWahklqhGsdcrpNc5JwrVrOe6QpfaQlS33hH3GI5IpQN5YqvjFkM/bmx8w4I1u1anEoedj1uL5LCuwpVT92emtT6teAT7d2xA9rvy+6JrcZji9+2Je8oVL11e3IjVFt0LPnC+91wViSm1yplQOJb3lISNKlCJTl20kTkG30KdI/dntwIFdC2Ywk70MzTamzeoQMNkC9UOtestwdjr92eXAkVEPaUqnlzn0GRWqP2GLX4HfciV3B0wnNvYYaluGQtSro9uRMqIDyZauE1iLs1H6jb0t2zu6fJFSq93VFPrC1a1eSMPJffpVAR0hO5QlVaC9maLawpIbfbE4WKECM5QqXrMXvak7/3bk8UKkKM5AiVjk/1FJ/rvdsThYoQIzlCFSscX0N3FMpB/781Aeq92xOFihAjOUIl8am1UiapOJDi8CtCM9+1XEJ57wMhFeD5998rQl3s9Dukxsz26PZEoSLESKpQpcanZEVsWpeq/39MrCQpOiaE8vcHfqeFeOj2RKEixEjqJE+JT8nEnyue17tSTF/XbuX0taV92Sxbfk93J2nV7YlCRYiR1EmuRSiG3pFiLrajXSotRoP6e0woxOWsLVRQ523Z7YlCRYiR1Eku2w3FhERvGb0Uv9JxIS1US7uqapcxdm4P3Z4oVIQYSZnkWohi8aWUya6tpqnloj9/KlTaUot9toduTxQqQoykTHK9keB0KV9bPEuT9qTeFzufuHc6UC9b9SwF8D10e6JQEWIkZZLLjgmx+JQOsi/tUz8XnxKOCGkJJ4TVw5SM89KSnq26PVGoCDGSIlSx+JS4Ydp1mhMULQhz55JdVX8Q8qVSS2J67/ZEoSLEyJpQxeJHnwiu2CXy+pS5/KjYe0o2l+y92xOFihAj4tJNewDIJNZCNGAUEi04a4mgktawJFJ61U+y2XO20ump29Mnfo+liDAhpJC5ZiUxoZpr1Cvv0TueHhBiWyn1cDqGpUXrGjnf0veYQ39uy25PMaHy1MKOEJfojjxLgvOh3id7Q52xLjLS3PWOUQDEYtPCkrJPObs9EUKaIJ2vY26htshSrTJ2eyKEVEfcvaWAtLwnJQ2A3Z4IIdVJyQiXFblU8WG3J0JIVWQ1bC4NQESnJEeK3Z4IIVWQGNUDoxBoF/CE0OS0ZIthdnsihFRDcrP0sv4d8Z08CSGEEEIIIYQQQgghG/A/10whBQe2m6MAAAAASUVORK5CYII=\" style=\"width: 149px; height: 35.5px;\" width=\"149\" height=\"35.5\"\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: 57px 8px; transform-origin: 57px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere the symbol \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACkAAAAlCAYAAADfosCNAAAAfElEQVRYhe3YwQ2AIBBE0amFOiiEDujA2uyBovTCgRgkys7xv2Svw49HJUCSdLxcDu7mxfZvl6Qm6XxcCUaWyWbr721FRr/aV1lEehDpQqQLkS5EuhDpQqQLkS5EuhDpQqQLkS6hyNoHxkvBoDTZrJHI2W39sxkci20ALje6019blrOi3wAAAABJRU5ErkJggg==\" style=\"width: 20.5px; height: 18.5px;\" width=\"20.5\" 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: 125px 8px; transform-origin: 125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e means rounding-off to nearest integer. \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);\"\u003eΔ\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 181px 8px; transform-origin: 181px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e appears divergent and seems to increase without bound as \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: 36.5px 8px; transform-origin: 36.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e increases. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 58px 8px; transform-origin: 58px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven a number \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);\"\u003ed\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 139px 8px; transform-origin: 139px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, our goal is to find the value of integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 23px 8px; transform-origin: 23px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e when \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 33px; height: 18.5px;\" width=\"33\" 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\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 46px 8px; transform-origin: 46px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003efirst exceeds\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ed\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 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: 55.5px 8px; transform-origin: 55.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs an example, if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFoAAAAkCAYAAAAJgC2zAAACN0lEQVRoge2Z662DMAxGzw5swAJdgAk6QTfoBt2AFZiBEdiBFZihK3B/JBZuBcU80t5IPlKkiocxXxxjp+A4juM4jpMLJVAB7a8dOcBl5z3Vzns3UQMDMMbRpH5gAiqgA57G6wvgEa+v4++OoMM1hYNCxST0LeWDTuZCEEh8twhdAH28/l3UNh6vT/TxhSuTs2Wqh5zMnRCJV4LAVqFFzLkUWShbSSK7jsb7FMa/gET1mtB65S4J2cTzA0H4U5EcnWzJJMYqdKuuW1q5N9YnYxdlKsNfxCJ0wfSew4frLpxYGEhJUxBynRjOFYvQOm2slbCWCVlElzQtIU30ysluh02ZsKPjKBahdUBZhR7ZmKcv0Yknr4W5fARHwiRsRZdWe4e19rX48cnWg31CmxsZndzfb3p8OGehJrzkkXFGJ7pV6LvRnlkXieSlRkQi+oyo+iVbhV5bvT0bhZaybSn/isEc227NT1PHWlrQ5U5ObfccqaoO00qXaF4qUfRXeG/bnVPVofsFq9CrnbKevaVuTybiSNudU9UB0ztbI3+1U9bROtft6bRypO3OqeqA1/deWsVau035+V1o3WLq863F8D/FKrTenVuqPKRAMAWA3vZs3o7LZrfufBry3VACu9AwaTO3O1epc+bvlv7XpI9DOkMd8QN5l3c6p47YPq7SxHVMglYEfQY2ruyC1xx6Z5rBkrA0GqNj/5GK4P9c3q9Z34ksmf7C6qKtGwn2oB3HcRzHcRzHcb7CH0EpR7OQs+DrAAAAAElFTkSuQmCC\" style=\"width: 45px; height: 18px;\" width=\"45\" 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: 43px 8px; transform-origin: 43px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\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: 9px 8px; transform-origin: 9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADMAAAAkCAYAAAAkcgIJAAACFklEQVRYhe1XUZWEMAwcDzjAAAZWAQpwsA7WARZWAxLWAxbQgAXuo801hDRtuP27znv92KVpO2kySYGGhoaG/4RHHMMN24HZdzdt+xv7ntABeAM4xNgBPAu2fbTdAbzioN+fwuE6NpfvuyEQc6NXFpNjztgO7NDyJujbDp1QB2CN32cEJyxiXzehD4InJnEQeVOjYrsZ34Bwq0dcS9v3jbwTjjinGmM0zOXHC4nMomxK33L2D6Rwlf/L9TjIkdLOxAI7Jzqc80c7qHUzNGcT/4+wc4mcuBpzLngXFgXCVWtkONEVunrNsHPOOteBsvi4QWS0+OV5JUWAYn+DT2475EXlz6Ak17xEisRD8YGUi1qCW6D1FqddFXqkmM95VxIiUrk8yq0x4VwiSjXKDUrEUuzmCNV0EaRsFM5yja8Q4rFbApGecS3AnhsCrjdkSXg1FuRVioNEgA7d4+plbyXnXclecQYTT4Q8KYUJ3YjmPa50ss7UgGTdKspFTKgjAiTv5UKJ91re2+FF+RYZD5GazXjL4y2AuVaoCiPKRAYkdan13F0yE+51D7/V2goFkl8ulRRmk2pxbnm8EkvdvCvEiMiK9LjSxoarTPOGUFMcegJIgaDkzj3CpEK6iFgPs1LNoIOtOHvxGdfWWhP5VvogOY3aGXfSU+WtGVa/1MeD8Pkv5MO2QyDL58/xv6+2MA0NDQ0NDf8eP/+H+vMrvQvvAAAAAElFTkSuQmCC\" 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: 20.5px 8px; transform-origin: 20.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e since:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 35.5px; 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 17.75px; text-align: left; transform-origin: 384px 17.75px; 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: 64px 8px; transform-origin: 64px 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: 327px; height: 35.5px;\" width=\"327\" height=\"35.5\"\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: 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: 33.5px 8px; transform-origin: 33.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand for all \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 51.5px; height: 18px;\" width=\"51.5\" 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: 47.5px; height: 18px;\" width=\"47.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function x = firstDelta(d)\r\n    d = x;\r\nend","test_suite":"%%\r\nd = 10;\r\nx_correct = 283;\r\nassert(isequal(firstDelta(d),x_correct))\r\n%%\r\nd = 200;\r\nx_correct = 15331;\r\nassert(isequal(firstDelta(d),x_correct))\r\n%%\r\nd = 5000;\r\nx_correct = 783749;\r\nassert(isequal(firstDelta(d),x_correct))\r\n%%\r\nd = 10000;\r\nx_correct = 1780351;\r\nassert(isequal(firstDelta(d),x_correct))\r\n%%\r\nd = 1000000;\r\nx_correct = 344929747;\r\nassert(isequal(firstDelta(d),x_correct))\r\n%%\r\nds = 500:800;\r\nxs = arrayfun(@(d) firstDelta(d),ds);\r\nss = [xs(1:100:end) floor([mean(xs) median(xs) mode(xs) std(xs)]) sum(xs)];\r\nss_correct = [48871 59243 73019 86371 66968 67217 48871 11019 20157483];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('firstDelta.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":6,"test_suite_updated_at":"2021-10-10T04:36:47.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-25T08:21:59.000Z","updated_at":"2025-11-30T11:10:15.000Z","published_at":"2021-10-09T18:56:58.000Z","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://www.britannica.com/science/prime-number-theorem\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime Number Theorem \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003estates that:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\lim_{x\\\\rightarrow \\\\infty}\\\\ \\\\frac{\\\\pi(x)}{x/log(x)}=1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi(x)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis the prime counting function (number of prime 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\u003e\\\\leq x\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\u003elog(x)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003eis the natural logarithm of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The convergence of the abovementioned limit, first conjectured by Legendre in 1798, is now well established.\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 exercise we are more concerned with the difference function \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, defined as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta (x)=\\\\pi(x)-\\\\left [  \\\\frac{x}{log(x)}  \\\\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\u003ewhere the symbol \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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[ \\\\ ] \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e means rounding-off to nearest 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\u003e\\\\Delta\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e appears divergent and seems to increase without bound 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\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e increases. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a number \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed\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, our goal is to find the value of integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e 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\u003e\\\\Delta(x)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efirst exceeds\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed\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\u003eAs an example, if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ed=10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the value of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e283\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e since:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\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\u003e\\\\Delta (283)=\\\\pi(283)-\\\\left [  \\\\frac{283}{log(283)}  \\\\right ]=61-50=11\u0026gt;10\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\u003eand for all \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\u0026lt;283\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Delta \\\\le10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52936,"title":"Easy Sequences 39: Perfect Squares in Pascal's Triangle","description":"Consider the 2nd, 3rd and 4th diagonals of the Pascal's Triangle, shown highlighted below:\r\n                                                        \r\nWe can see that on the 2nd, 3rd, 4th, 5th and 10th rows, the highlighted diagonals contains at least one perfect square elements:\r\n2nd Diagonal:    \r\n3rd Diagonal:    \r\n4th Diagonal:    \r\nGiven a row limit r, write a function that outputs a set of row numbers , in which the 2nd, 3rd and 4th diagonals of the pascal's triangle contains at least one perfect square elements.\r\nIn the case above where , the function should return .","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: 459.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 229.9px; transform-origin: 407px 229.9px; 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: 149.5px 8px; transform-origin: 149.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eConsider the 2nd, 3rd and 4th diagonals of the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Pascal%27s_triangle\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePascal's Triangle\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: 82.5px 8px; transform-origin: 82.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, shown highlighted below:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 215.5px; 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 107.75px; text-align: left; transform-origin: 384px 107.75px; 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: 112px 8px; transform-origin: 112px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                        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\" data-image-state=\"image-loaded\" width=\"279\" height=\"210\"\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: 329px 8px; transform-origin: 329px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe can see that on the 2nd, 3rd, 4th, 5th and 10th rows, the highlighted diagonals contains at least one \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Perfect_Square\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eperfect square \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: 30.5px 8px; transform-origin: 30.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eelements:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 61.3px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 30.65px; transform-origin: 391px 30.65px; 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: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 52px 8px; transform-origin: 52px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e2nd Diagonal:    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 218px; height: 18.5px;\" width=\"218\" height=\"18.5\"\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: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 50.5px 8px; transform-origin: 50.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e3rd Diagonal:    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 159px; height: 18.5px;\" width=\"159\" height=\"18.5\"\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: 363px 10.2167px; text-align: left; transform-origin: 363px 10.2167px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 50px 8px; transform-origin: 50px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e4th Diagonal:    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 144px; height: 18.5px;\" width=\"144\" height=\"18.5\"\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\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: 60.5px 8px; transform-origin: 60.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven a row 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; perspective-origin: 2.5px 8px; transform-origin: 2.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003er\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 288px 8px; transform-origin: 288px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, write a function that outputs a set of row numbers , in which the 2nd, 3rd and 4th diagonals of the pascal's triangle contains at least one perfect square elements.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 79px 8px; transform-origin: 79px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIn the case above where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 43px; height: 18px;\" width=\"43\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 87px 8px; transform-origin: 87px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the function should return \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 88px; height: 18.5px;\" width=\"88\" 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 rs = perfectPascal(r)\r\n    rs = unique([2 3 4 [1,2,3].^2] + 1);\r\nend\r\n","test_suite":"%%\r\nr = 10;\r\nrs_correct = [2 3 4 5 10];\r\nassert(isequal(perfectPascal(r),rs_correct))\r\n%%\r\nr = 50;\r\nrs_correct = [2 3 4 5 10 17 26 37 50];\r\nassert(isequal(perfectPascal(r),rs_correct))\r\n%%\r\nr = 100;\r\nrs = perfectPascal(r);\r\nss = [rs(1:2:end) sum(rs) floor([mean(rs) median(rs) std(rs)])];\r\nss_correct = [2 4 10 26 50 65 352 29 21 27];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nr = 1000;\r\nrs = perfectPascal(r);\r\nss = [sum(rs) floor([mean(rs) median(rs) std(rs)])];\r\nss_correct = [10505 308 211 300];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nr = 1000000;\r\nrs = perfectPascal(r);\r\nss = [sum(rs) floor([mean(rs) median(rs) std(rs)])];\r\nss_correct = [332893363 331567 247507 298095];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nr = 1000000000;\r\nrs = perfectPascal(r);\r\nss = [sum(rs) floor([mean(rs) median(rs) std(rs)])];\r\nss_correct = [10540716881095 333261148 249892865 298147375];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nr = double(intmax);\r\nrs = perfectPascal(r);\r\nss = [sum(rs) floor([mean(rs) median(rs) std(rs)])];\r\nss_correct = [33171245704008 715715056 536709890 640260045];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('perfectPascal.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":"2021-10-14T03:55:30.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2021-10-13T07:37:00.000Z","updated_at":"2026-03-29T19:08:09.000Z","published_at":"2021-10-13T12:02:57.000Z","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\u003eConsider the 2nd, 3rd and 4th diagonals of the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Pascal%27s_triangle\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePascal's Triangle\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, shown highlighted 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\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=\\\"210\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"279\\\"/\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\u003eWe can see that on the 2nd, 3rd, 4th, 5th and 10th rows, the highlighted diagonals contains at least one \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Perfect_Square\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eperfect square \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003eelements:\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\u003e2nd Diagonal:    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\\\\{(Row2,1),(Row5,4),(Row10,9)\\\\}\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=\\\"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\u003e3rd Diagonal:    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\\\\{(Row3,1),(Row10,36)\\\\}\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=\\\"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\u003e4th Diagonal:    \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\\\\{(Row4,1),(Row5,4)\\\\}\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a row limit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003er\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, write a function that outputs a set of row numbers , in which the 2nd, 3rd and 4th diagonals of the pascal's triangle contains at least one perfect square elements.\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 case above 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\u003er =10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the function should return \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" 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Sequences 41: Boxes with Integer Edges","description":"For this problem, we are asked to write a function that will count the number of boxes with integer edges, that has the same given volume .\r\nFor example for , the possible boxes are shown in the figure below:\r\n                                               \r\nTherefore, in this case, the function should return .","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: 344px; 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=\"\"\u003eFor this problem,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003ewe are asked to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003ewrite a function that will count the number of boxes with integer edges, that has the same given volume \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);\"\u003ev\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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 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\" height=\"18\" style=\"width: 36px; 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 possible boxes are shown in the figure below:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 233px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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=\"367\" height=\"227\" style=\"vertical-align: baseline;width: 367px;height: 227px\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; 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, in this case, the function should return \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);\"\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; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = numPosBoxes(v)\r\n    n = floor(log(v)/log(2));\r\nend","test_suite":"%%\r\nv = 8;\r\nn_correct = 3;\r\nassert(isequal(numPosBoxes(v),n_correct))\r\n%%\r\nv = 1234;\r\nn_correct = 2;\r\nassert(isequal(numPosBoxes(v),n_correct))\r\n%%\r\nv = 10000;\r\nn_correct = 42;\r\nassert(isequal(numPosBoxes(v),n_correct))\r\n%%\r\nv = 9999999;\r\nn_correct = 10;\r\nassert(isequal(numPosBoxes(v),n_correct))\r\n%%\r\nv = 9876543210;\r\nn_correct = 164;\r\nassert(isequal(numPosBoxes(v),n_correct))\r\n%%\r\nv = 123123123123;\r\nn_correct = 365;\r\nassert(isequal(numPosBoxes(v),n_correct))\r\n%%\r\nv = 100000000000000;\r\nn_correct = 2432;\r\nassert(isequal(numPosBoxes(v),n_correct))\r\n%%\r\nv = double(intmax('uint32'))*12345\r\nn_correct = 488;\r\nassert(isequal(numPosBoxes(v),n_correct))\r\n%%\r\nvs = floor(flintmax ./ (1:100));\r\nns = arrayfun(@(v) numPosBoxes(v),vs);\r\nss = floor([sum(ns) mean(ns) mode(ns) median(ns) std(ns)])\r\nss_correct = [389499 3894 5 89 7993];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('numPosBoxes.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":"2021-10-11T18:45:59.000Z","updated_at":"2026-03-24T12:26:03.000Z","published_at":"2021-10-17T18:48:44.000Z","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\u003eFor this problem,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ewe are asked to \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 that will count the number of boxes with integer edges, that has the same given volume \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\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 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\u003ev=8\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the possible boxes are shown in the figure 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\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=\\\"227\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"367\\\"/\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\u003eTherefore, in this case, the function should return \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\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\"}]}"},{"id":52844,"title":"Easy Sequences 42: Areas of Non-constructible Polygons","description":"A constructible polygon is a regular polygon that can be constructed using only a compass and a straightedge.\r\nAmazingly, Gauss found a way to identify which regular -gon (abbreviation for a polygon, with  being the number of sides) is constructible, without even attempting to construct the polygon. Gauss's theorem states that an n-gon is contractible if and only if the totient of n is a power of 2. (The Euler Totient Function of a number  is defined as the number of integers from  to  that are coprime to .)\r\nFor example, the 3-gon (equilateral triangle) is constructible because the totient of  is . Similarly, the 5-gon (regular pentagon) is constructible because the totient of  is . While, the 21-gon is non-constructible since the totient of  is , not a power of .\r\nFor  to , the number of sides of the -gons that are constructible are as follows  and their totients, , are all powers of . The non-constructible -gons from  to  are: , and their totients are .\r\nGiven the limit of the number of sides , write a function that will output the sum of the areas of all non-constructible regular -gons, for , inscribed in a unit circle (i.e. ). \r\n                                                        \r\nNOTES: \r\nEquality in float class is hard to establish. Therefore, for consistency, please round-off each area to  decimal places, before taking the total.\r\nFor , the function should return , because the sum of areas of regular polygons with sides  = . ","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: 643.233px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 321.617px; transform-origin: 407px 321.617px; 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: 6.5px 8px; transform-origin: 6.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Constructible_polygon\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003econstructible polygon\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: 274.5px 8px; transform-origin: 274.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is a regular polygon that can be constructed using only a compass and a straightedge.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 42px; text-align: left; transform-origin: 384px 42px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 174px 8px; transform-origin: 174px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAmazingly, Gauss found a way to identify which regular \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: 119.5px 8px; transform-origin: 119.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-gon (abbreviation for a polygon, with \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: 67.5px 8px; transform-origin: 67.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e being the number of sides) is constructible, without even attempting to construct the polygon. \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Euler%27s_totient_function#Cyclotomy\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eGauss's theorem states that an n-gon is contractible if and only if the totient of n is a power of 2.\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: 19px 8px; transform-origin: 19px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (The \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Euler%27s_totient_function\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eEuler Totient 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; perspective-origin: 42px 8px; transform-origin: 42px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of a number \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: 56px 8px; transform-origin: 56px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is defined as the number of integers from \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: 10px 8px; transform-origin: 10px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \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: 28.5px 8px; transform-origin: 28.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e that are \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Coprime_integers\"\u003e\u003cspan style=\"text-decoration: none; text-decoration-line: none; \"\u003e\u003cspan style=\"\"\u003ecoprime\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10px 8px; transform-origin: 10px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \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: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 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: 260.5px 8px; transform-origin: 260.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, the 3-gon (equilateral triangle) is constructible because the totient of \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: 9px 8px; transform-origin: 9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \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: 93px 8px; transform-origin: 93px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Similarly, the 5-gon (regular pentagon) is constructible because the totient of \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);\"\u003e5\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9px 8px; transform-origin: 9px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 41.5px; height: 19px;\" width=\"41.5\" height=\"19\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 185.5px 8px; transform-origin: 185.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. While, the 21-gon is non-constructible since the totient of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABFUlEQVRYhe2W4Q2DIBBG3w5s4AIs0AmcwA26gRt0BWdgBHdwBWboCu2Pg4Q2ighimpQvuZgYuHuHx3nQ1NT0G7o50wU+OkCVQChgAl5f9gTuB0G8n+yEOhf4Gya0x46PtYSygWbAAkPwTq8E6Df298DonkspUI+cztbmMQhgEvyF67OADPEaUXzWU3WgCamhmOYrgVLkgeZfAbIuQMr1rw7UOeeW/U97CZAPkNocqwIppJBTaucSIIM0uiP/pGpAd6RujjqtAjRkwlQBKoE5HahPgNHEr/9pQBq5UbfIGoUUeXUgD7M4h1tm2W8BxUAeJjacpcxEICdng7VjDpBBsk4xw3pP6pCJcm3PxLERuKmpqem/9QYPHIoL20g4PAAAAABJRU5ErkJggg==\" 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: 0.45px 8px; transform-origin: 0.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABEElEQVRYhe2Waw2DMBRGj4c6qIEaQAEKcIADHMwCGioBD1hAwyywH22zbuPVB4Qs/ZIbEnJ7eyhfbwtFRUX3kgRE4JjKhsoN0gPzwcLCy/fjCbQpIEuF94Cknfgbxo9HDEwNdPY5BgANwAQ03jvF74fVMVBO3UGgGrM6azl+HX0FkGbbI4JPP50O1GM8tKXhSqAjckDDXYAmWydp++cCkrbGxP6vvQTI1UlanVxAAmPkJO/kBNKYBht6Fp4C1GJ8k+2ATQFqcsOkAJ0CEwtUH4BRRG7/UCCF2VHVRo7AmPx0IAcz2nFrMRHZAiTvdj/bYnswW5ez6DuRxNzshoXoWe62eiV/KTSZelJRUVHRX+sF+YKKC12KDjUAAAAASUVORK5CYII=\" 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: 51px 8px; transform-origin: 51px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, not a power of \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: 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: 13px 8px; transform-origin: 13px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 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: 10px 8px; transform-origin: 10px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAABeklEQVRYhe1WUZHEIAx9HnBQAxhYBVVQBzhYB2uhGpBQD7WAhrVw9wHZplyTpuzOzc0cb4YfIOHxSEiAjo6Ov4FbGb7BdmD2b8EBmAF8VeMJIBjsJwAJQARwL77I1l0lMxTjmgwfD8V+FvaEMr9cJbUg325icx4/FRsPbOnQJBy6CGRFjMjqSPFyZ4RiteawKSsdODF7U0xG6DHisI8njgBdPSCHg+XZX5iLkQaSvSa0ssM0H6RishCygAgt1byknGR/RtyMVJzxp/WNhKSnNYNiIGF/u1sjIcufpoKyrHbECdXZJ/l4mxCldR07NaGjdY7HpwhF5Ew6+vB+/ckCctxon1kLoZaC/SqUZ8aUfVZCTzSkvZUMsK91FiXXq2RGAxmP7ZY8jiZlf1P8eGRJtcbKId+Syy794gTKMKkbUMmsyH+GNNLBwbyXqpXl3YC5gyQyWnN21hORD97GDNiK76VyEZFvbRkRsuwOOUYi2xvwoWLa0dHR8W/wDWBRuKK9X67OAAAAAElFTkSuQmCC\" 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: 88.5px 8px; transform-origin: 88.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the number of sides of the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 133.5px 8px; transform-origin: 133.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e-gons that are constructible are as follows \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 208px; height: 18.5px;\" width=\"208\" 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 and their totients, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 170.5px; height: 18.5px;\" width=\"170.5\" 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: 58px 8px; transform-origin: 58px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, are all powers of \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: 75px 8px; transform-origin: 75px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The non-constructible \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-gons from \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: 10px 8px; transform-origin: 10px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \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: 16.5px 8px; transform-origin: 16.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 145.5px; height: 18.5px;\" width=\"145.5\" 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: 71.5px 8px; transform-origin: 71.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and their totients are \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQUAAAAlCAYAAABLTfwTAAAGCklEQVR4nO1dbbHbMBBcDmZgAiYQBEEQBo9BGIRCMDwI4RAKwRAK7Q/56rUiyacvJ6/vdsbTaSvH0t3e6nRSHMBgMBgMBoPBYDAYumEAcARwBnB6c18MBsMrTnDxeYSL124YAFwB/Jn/PAKYej7QYDAUYYSLT47X5uIwALjPD7DswGD4OTjBxe299Qd/YVGcGkxwac0VS7bRCwOWNOo2/9krlRoLPnsEcJivPZGb3XE/u6aiARhfFkwo98M3Okzo5/lDzwX3DvN9D/qMsV3XXnDAYoQb+mY2I5YUTRtsJzhbfGMh/BNOeHsGHT9XgyMWn/F1Q1//GV9e2z/h7MB8yfFDTfw2/9AJi3N7kwkALljI29O5XF+RS+Nkuefi/btkYje0FwY/uDWiwHYMXU/08aXxZcGEJfh9Tsj/af3wMaIgaxkJgp6zINc8HuibksvOy5GeqXGyBP4DYVvcEBaMGlzm58qzNaJwwLJUFMJJas3i0nqNanxZQ2wdWzLlLOk/QhSEWL1mPx8SUCkj9oDYZcvJA5yqp4Keg6LHro5WFO6IE43H0bKfxpc1JkU7sdkz47lvEwUmTq80k8GGbjnL5j475WSeqWMkHNF3HBpRkPQ9FZSccn816Jfx5RUskjG+SJtHxnPfJgq8duptdA6kPQjlQ+tkThtTfZTg0Dg6FxpROGI70JmwLUTB+PKKgdrdERZpEWeNzd4qCjwYDgDZTmntBJ61JOUdsN9Wn9bJTMQUOK1tbaucQmMKLAq1Nja+xMFi6S+ppND4wA8oNHKa/Jjb8xpU/r3FDAPvsy9YBxUHQa8ZQeNkXh/miELrtW4rUZDax9YyQwPjSxxcDBXuHOB48UTeKcUuoiCqtbVtI/u9rMZHuMH41evaVJGDjckjqs9K2ytV1DiZZ9YcUWgVCIJWoiB2bUEw40savjBI33InjFaHD/9hxLInuqVMPIAQqf1B1syGR6wdHOobV/SbH/NEvihsBSR/3ieKghQFW2QJgPFFg5gw5Oz8iN80MbwJSVUeyk5olJadc6vom7aKzAZtvW7MFYWt8bau7DNaiIKMt5UdjS/6ey54XVrliKTsLD0y7/sHVsyclEObJnO7UuXSzqrcrumaCr9r+SDpd8uTf8aXNGRJI0E84rUOkitcfH+RL+WIrDZT4P1mbcdKD8BwkSrl5Jz0PRc9dx9aH2CqscEAx4HWW4bGl+22oT5w/UO7fV2dKTByagrivK22LZzMzksp+ic4WQpmWvL3KHSV2kDWtD3OEBhf4hDBjAUwF2m3soWmNQWBKNNWSstr4tSgtWRIgfe4U87TkqEEWidfle2kTY8iVwnRewoCYHzR9EGz1b0Vl1IOaOpH7T4ndzS1XpGZs5b8opapFIrrI633/kucHLNLjpNLUCIKGkGosanxJQyNKAB6vrz9mLNUb2MOZMX2iXDA8u5HzYzAlemYA2U28okwwBnzjPKUNCcdlNkuVkHnfvpjz7VLCLmicMV2tf+EdSG6xKbGlzBk+RATS7bL1lLz7aKwNSvKZ/mE43PpOeSVYAudEecv2/jrrpL3IfjIcbLUZkJtU/0stYuPnPv5vQ/nyCVtDoH7cmxqfEm3jX33QQqnmnG/XRQA51xWOhkUDyT04og/3qUptg1Yz8Ji7BHOoLETYKHTdDkYsT5xp7ENvxzD72ds9iq1C4PJuHVe3id/6vJn91KbGl/CkKzljrWIfM39DNklhI8QBWBJt77hjC/vvUtVSs9zOwmSHPIfsJxnv8E5LfWKs4n6JmfJNRi95/Alz0zBt8v3/PfUWEvtcsLa/nyF0uBjpG3s8mf2UpsCxpfU/TJOrV18fIwo1OCAPl8fjqH3u/laYW+71GBPmxpf0vgvREFmzz2gebHIp2BPu9Rgb5saX9L48aJwxX5vxJnwul77VOxplxrsbVPjyza6xK/s3Tb76mXiOXulZQMcmfZ++04J9rRLDfa2qfFFhy6/+8Bf39zzRZcGg6EOMqHHtjar4P+WZI/XZRkMhnpM2OG3JBkjlp/X+gkprcHw2yDx2f1Xpw0Gg8FgMBgMBsOvxl9/7DQf0f57wwAAAABJRU5ErkJggg==\" style=\"width: 130.5px; height: 18.5px;\" width=\"130.5\" 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: 134.5px 8px; transform-origin: 134.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven the limit of the number of sides \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003em\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 207.5px 8px; transform-origin: 207.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, write a function that will output the sum of the areas of all \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003enon-constructible\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 29.5px 8px; transform-origin: 29.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e regular \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=\"font-weight: 700; \"\u003e-gons, 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: 66px; height: 18px;\" width=\"66\" 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: 93px 8px; transform-origin: 93px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, inscribed in a unit circle (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.5px 8px; transform-origin: 9.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ei.e.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 67px; height: 18px;\" width=\"67\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e).\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 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: 203.5px; 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 101.75px; text-align: left; transform-origin: 384px 101.75px; 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: 112px 8px; transform-origin: 112px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                        \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 237px;height: 198px\" 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\" data-image-state=\"image-loaded\" width=\"237\" height=\"198\"\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: 27.5px 8px; transform-origin: 27.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eNOTES: \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cul style=\"block-size: 81.7333px; counter-reset: list-item 0; font-family: Helvetica, Arial, sans-serif; list-style-type: square; margin-block-end: 20px; margin-block-start: 10px; margin-bottom: 20px; margin-top: 10px; perspective-origin: 391px 40.8667px; transform-origin: 391px 40.8667px; margin-top: 10px; margin-bottom: 20px; \"\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: 363px 20.4333px; text-align: left; transform-origin: 363px 20.4333px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 241px 8px; transform-origin: 241px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eEquality in float class is hard to establish. Therefore, for consistency, please \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 63px 8px; transform-origin: 63px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003eround-off each area\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 10px 8px; transform-origin: 10px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e4\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 28px 8px; transform-origin: 28px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e decimal places, before taking the total.\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: 363px 20.4333px; text-align: left; transform-origin: 363px 20.4333px; white-space: pre-wrap; margin-left: 56px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 13px 8px; transform-origin: 13px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 47.5px; height: 18px;\" width=\"47.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 87px 8px; transform-origin: 87px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the function should return \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 52px; height: 18px;\" width=\"52\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 183.5px 8px; transform-origin: 183.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, because the sum of areas of regular polygons with sides \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 145.5px; height: 18.5px;\" width=\"145.5\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 8px 8px; transform-origin: 8px 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: 460.5px; height: 18px;\" width=\"460.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-inline-start: 0px; margin-left: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/li\u003e\u003c/ul\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = sumAreasNonCons(m)\r\n  y = x;\r\nend","test_suite":"%%\r\nm = 20;\r\ns_correct = 20.8231;\r\nassert(abs(sumAreasNonCons(m)-s_correct)\u003c0.00001)\r\n%%\r\nm = 100;\r\ns_correct = 230.6588;\r\nassert(abs(sumAreasNonCons(m)-s_correct)\u003c0.00001)\r\n%%\r\nm = 10000;\r\ns_correct = 31115.5537;\r\nassert(abs(sumAreasNonCons(m)-s_correct)\u003c0.00001)\r\n%%\r\nm = 123456;\r\ns_correct = 387372.9937;\r\nassert(abs(sumAreasNonCons(m)-s_correct)\u003c0.00001)\r\n%%\r\nm = 123456789;\r\ns_correct = 387850677.6529;\r\nassert(abs(sumAreasNonCons(m)-s_correct)\u003c0.00001)\r\n%%\r\nm = double(intmax);\r\ns_correct = 6746533065.1873;\r\nassert(abs(sumAreasNonCons(m)-s_correct)\u003c0.00001)\r\n%%\r\nms = double(intmax) .* (2:101);\r\nss = arrayfun(@(m) sumAreasNonCons(m),ms);\r\nsss = floor([ss(1:2:10) sum(ss) std(ss)]);\r\nsss_correct = [13493067593 26986136743 40479205940 53972275144 67465344367 34744653111552 195727035035];\r\nassert(isequal(sss,sss_correct))\r\n%%\r\nfiletext = fileread('sumAreasNonCons.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":0,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":"2021-10-20T06:37:21.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-09-30T09:32:21.000Z","updated_at":"2026-03-24T12:44:40.000Z","published_at":"2021-10-20T05:03:46.000Z","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 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Constructible_polygon\\\"\u003e\u003cw:r\u003e\u003cw:t\u003econstructible polygon\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e is a regular polygon that can be constructed using only a compass and a straightedge.\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\u003eAmazingly, Gauss found a way to identify which regular \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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-gon (abbreviation for a polygon, 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\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e being the number of sides) is constructible, without even attempting to construct the polygon. \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Euler%27s_totient_function#Cyclotomy\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eGauss's theorem states that an n-gon is contractible if and only if the totient of n is a power of 2.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e (The \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Euler%27s_totient_function\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eEuler Totient Function\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e of a 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\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is defined as the number of integers from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\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 that are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Coprime_integers\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ecoprime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\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 3-gon (equilateral triangle) is constructible because the totient of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Similarly, the 5-gon (regular pentagon) is constructible because the totient of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4=2^2\\n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. While, the 21-gon is non-constructible since the totient of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e21\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e12\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, not a power of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\\n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e20\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the number of sides of the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e-gons that are constructible are as follows \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and their totients, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{2,2,4,2,4,4,4,8,8,16,8\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, are all powers of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The non-constructible \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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-gons from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e20\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{7,9,11,13,14,18,19\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and their totients 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\\\\{6,6,10,12,6,6,18\\\\}\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 the limit of the number of sides \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, write a function that will output the sum of the areas of all \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\u003enon-constructible\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e regular \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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-gons, 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\u003e3 \u0026lt; n \\\\le m\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, inscribed in a unit circle (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003ei.e.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eradius = 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e).\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                                        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"198\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"237\\\"/\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\u003eNOTES: \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\u003eEquality in float class is hard to establish. Therefore, for consistency, please \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eround-off each area\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\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 decimal places, before taking the total.\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\u003eFor \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003em=20\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the function should return \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e20.8231\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, because the sum of areas of regular polygons with sides \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\\\\{7,9,11,13,14,18,19\\\\}\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\u003e2.7364+2.8925+2.9735+3.0207+3.0372+3.0782+3.0846=20.8231\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52978,"title":"Easy Sequences 44: Finding the Smallest Number whose Cube is divisible by a Factorial","description":"Given a integer , our goal is to find the smallest integer , such that  divides .\r\nFor example, for , , because , (since ), and  is the smallest number that has this property. Please present the value of  in modulo  (a prime number).","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: 83px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; 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; 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 a 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);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, our goal is to find the smallest 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);\"\u003ek\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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, such that \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15.5\" height=\"18\" style=\"width: 15.5px; 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=\"font-weight: bold; \"\u003e divides \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"15\" height=\"19\" style=\"width: 15px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 53px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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 \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, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"43.5\" height=\"18\" style=\"width: 43.5px; 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, because \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"54.5\" height=\"20\" style=\"width: 54.5px; 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, (since \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-10px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"59\" height=\"32\" style=\"width: 59px; height: 32px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e is the smallest number that has this property. Please present the value of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003ek\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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 in modulo \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAH4AAAAkCAYAAABPNo4ZAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAfqADAAQAAAABAAAAJAAAAABSNcAsAAAD2UlEQVR4Ae2ZTYhNYRjH7zCSjxlpJqIsfFuYKUYs2FEshp3CRixkIQolG0qWNpQNkmKh1EhZycdkwYRiiMWIGdKkkGYmke/f/859z33Pmfd+zdx7op6nfnOe93ne59zb/zn3Pee8k8mYmQKmgClgCpgCpoApYAqYAqbA/61AXRlffwVzQvMaiB/JcTdwnmZiq2EVaG4X3INeKGVWm45WBfuwnsyfIvSTmxCo3kZsCAbhGtyHn6BznYZ6KGRWm45WhfTPxm/xt1jjjwaqFVPNe1jk5bVyfAHlOmEyJM1qhxWptVZJ3WPjNkZq0h04FmAvsSng2xIG30F1amLSthNQThxKJK02LkittIp/SmB0mdgvWBjIFQppWXeNnR+YNImY+9V/wm/05litJwZurbSKf0piNI+x7smPwG9OYtqI4QARNf4HjB+RHQ50cHAXh1YNZ1brlMgfa6FV9uzj8p8R8/YzUuO03H+Gp3ACWqGQzSHRmEvq/q7VImQvvODSnG+1niieW22tolOHGt9Edkc0I5PRnBY4AN2gJXkmJG2BF5jm+UlXS7wzdxuxWqdI/FhtraKzhxo/lext6AMtyUnbROAhzE4k/C/ZQK5Q8z96da7xVuuJ4rnV1io6dajxb8huhLmgBq6EC/AbnGlpvg7+fbzXJXPH9sTYDYecw9G9FVitJ4rnVlur6NShxkdJHD2B69etpV/vltqIcbYMZ4sbcNSX1ErhbA+Of2G4eItzOL7N+Vabjlae9JW5enjrAfdUfjNRvo6xVgaXv4TvftXT8XfCNy+vXTxnVpuOVk7vio9LqXDbry8D1buJucbrqA2dV6ALwm+6clvBN6tNRytf84r858xW4wYKVGk5Pwfd8BpuwEnQ84LbwFG9nhWSZrXpaJXUvazxRWapcXoQrMR2MVl1QnsDlZjVlq/WWLQq+ilnyap5XUVnxZN6PtCtQXVa/pdDuWa15So1vIk2Wp1LfsoDZqiBh0vOzE+4kqtRXfIfNPlZYc9qw7qEomPRKnS+KLYGz/1qZ0TR4o62gFUjOqHUayRTIrPaSIqSzqi1msip9YrWD1fB30plmGkCPbCpgfuglOlV7gy4pus9v7lUUS5vtelolZW7lb+uSTp+BS3ni2Ez9IDiB6GY1ZPcAG6+znMcQhs6hGNmteloFRNdg/Ogd27/ApCvWAe0QSHThaPXOO0xq+YdnILQaxvhmFltOlplRa+LSZ8faJ9eGzWzYBD6QJswH6CYtZNcC8/gMTwBXQDlmNWmo1U5vbA5poApYAqYAqaAKWAKmAKmgClgCpgCpoAp8A8p8BdljABp5DlhpQAAAABJRU5ErkJggg==\" width=\"63\" height=\"18\" style=\"width: 63px; 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 (a prime number).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function k = SCDF(n)\r\n    k = mod(10*n,1000000123);\r\nend","test_suite":"%%\r\nn = 6;\r\nk_correct = 60;\r\nassert(isequal(SCDF(n),k_correct))\r\n%%\r\nn = 10;\r\nk_correct = 2520;\r\nassert(isequal(SCDF(n),k_correct))\r\n%%\r\nn = 100;\r\nk_correct = 29482652;\r\nassert(isequal(SCDF(n),k_correct))\r\n%%\r\nn = 1234;\r\nk_correct = 27609071;\r\nassert(isequal(SCDF(n),k_correct))\r\n%%\r\nn = 123456;\r\nk_correct = 34685960;\r\nassert(isequal(SCDF(n),k_correct))\r\n%%\r\nn = 22222222;\r\nk_correct = 27608842;\r\nassert(isequal(SCDF(n),k_correct))\r\n%%\r\nn = floor(double(intmax)/100);\r\nk_correct = 12770769;\r\nassert(isequal(SCDF(n),k_correct))\r\n%%\r\nns = floor(double(intmax)./(20001:20050));\r\nks = arrayfun(@(n) SCDF(n),ns);\r\nss = floor([mean(ks) mode(ks) median(ks) std(ks)]);\r\nss_correct = [27662018 2442880 25739266 15619436];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('SCDF.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":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-10-28T11:43:38.000Z","updated_at":"2026-03-24T12:58:42.000Z","published_at":"2021-10-29T14:06:25.000Z","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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, our goal is to find the smallest 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\u003ek\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\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 divides \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ek^3\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, 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=6\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\u003ek=60\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, because \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e6!\\\\ | \\\\ 60^3\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, (since \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac_{60^3}_{6!} = 300\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\u003e60\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the smallest number that has this property. Please present the value of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ek\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in modulo \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e59999999\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (a prime number).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":52973,"title":"Easy Sequences 45: Second Derivative of Inverse Polynomial Function","description":"The inverse of a function, is the function , that reverses . That means that if , then . For example, the function to convert celsius temperature to fahrenheit is: , the inverse function (convert from fahrenheit to celsius) is: . So that,  and .\r\nGiven a polynomial function  (presented as vector of numbers), and a value , if , write a program that evaluates , where . \r\nFor example, if , and , then  and . Therefore .\r\nNOTE: It is possible for  to return some complex numbers. We are interested only with real values, so in cases where there are no real , please output an empty vector. Also please round-off your output to 4 decimal places, and sorted in ascending order.","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: 299.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 149.75px; transform-origin: 407px 149.75px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 77px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-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 38.5px; text-align: left; transform-origin: 384px 38.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 14.5px 8px; transform-origin: 14.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Inverse_function\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003einverse of a function\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 32.5px; height: 18.5px;\" width=\"32.5\" 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: 50px 8px; transform-origin: 50px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, is the function \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFgAAAAnCAYAAACL4Y8gAAACvElEQVRoge2abZGDMBCGXw9xgAEMVEEV4KAOcHAWqqES4gELaMBC78fmLTmOkoRsKHeTZ4bp8JWP3c3uZilQqVQqlUrlo1wBjO63osgFwBeApztSBWwA3BTH07k2/w2t+7VIF7Bx77WhBxPHo91mEAPgDmBwxwNieZqkCti4sZQQRAtxV4cIuXGdjZBJdRBB8FyLVAFbAL1i/0suEAUWdxcDZOLU5s2dT8r9pAi4hyi4NA9IfCgGrdUurl+gr9lYARuIcjvl/tdoIGPSdocvRteBZpR+R6yAj7JeYiGWrM4Fc+oUcva992zMsWb9sQKeUHjZLuAqbrQbviPe1zYQhcQeewV8jXhGG7oJlVXcYhYC3cOAsHA0iBEwNyR7xsC5LTHu+paFTlByE9YdzByYjvF6yaUZI2A+E8sVIpgJ6zvFzrtn8V5xFsp+n6nYkcuRSt3qb8LvjGYLxg4u8ydmS7xi9uchC01VbBD6373LMYUWP2sRA2Tya/2upYyxUEjc/U2ID1wM4mqBzve/ZyJHwH6mQyWmvquSDxtvIEemQzHkCNhPO1MDlqqA/YEcsVtKIUfAfH+P4eRkL7/wl5J6cp0JM5o9GMyuL7UN1SDHxo7cjsaSM9EHwrvJrX7V4hHzwiL770z2RvMbxGB895cS5J6QzCobP188osCTSot04fAdWuzSDxtsGxPfV4lHLGzEFHg+xYhtazIQS+8gFjvhZ/T38+EG4ZStd22oBDhGS+1iuiahCS8re8uVeAvcXxJSaBLU7hn9LwkV3FvI+C3WLZPfF9/d9+EKUMumqNViFXwlWEcovY0foPjdj7XWM7sHnzsUl+4KPfI2Na8gQFjgOdvubQuLMuPN/qLsfxk2mP3a2Yo7MdyhK2T+8STL/dAdjBAHzoLyX/3LkGbNWq0tVvsf+FtuoVKpVCqVF98YWwNHPprQNQAAAABJRU5ErkJggg==\" style=\"width: 44px; height: 19.5px;\" width=\"44\" 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: 47.5px 8px; transform-origin: 47.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, that reverses \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);\"\u003ef\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 63px 8px; transform-origin: 63px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. That means that if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 58.5px; height: 18.5px;\" width=\"58.5\" 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: 20px 8px; transform-origin: 20px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, then \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 70.5px; height: 19.5px;\" width=\"70.5\" 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: 15.8667px 8px; transform-origin: 15.8667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. For example, the function to convert celsius temperature to fahrenheit is: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-10px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 97.5px; height: 28px;\" width=\"97.5\" height=\"28\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 112px 8px; transform-origin: 112px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the inverse function (convert from fahrenheit to celsius) is: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-10px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 121px; height: 28px;\" width=\"121\" height=\"28\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 30.5px 8px; transform-origin: 30.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. So 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: 88px; height: 18.5px;\" width=\"88\" 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: 100px; height: 19.5px;\" width=\"100\" 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: 58px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-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 29px; text-align: left; transform-origin: 384px 29px; 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: 99.5px 8px; transform-origin: 99.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven a polynomial function \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);\"\u003eP\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 167px 8px; transform-origin: 167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e (presented as vector of numbers), and a value \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 10.5px 8px; transform-origin: 10.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 91.5px; height: 19.5px;\" width=\"91.5\" 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: 29.5px 8px; transform-origin: 29.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, write a program that evaluates \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 32px; height: 18.5px;\" width=\"32\" 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: 28px 8px; transform-origin: 28px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, where \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 74px; height: 37px;\" width=\"74\" height=\"37\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 74.5px; 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 37.25px; text-align: left; transform-origin: 384px 37.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.5px 8px; transform-origin: 48.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, if \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 189.5px; height: 19.5px;\" width=\"189.5\" 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: 18px 8px; transform-origin: 18px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 20px 8px; transform-origin: 20px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, then \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg 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src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXUAAABLCAYAAACP+hehAAAM9klEQVR4nO2d25EyORaE0wc8wIFyAAuwAAu2PcADXOB93jABH1gTWBfahd6HIqcOQve6UJf8IhTxz1DQBSWljo5SEiCEEEIIIYQQQgghhBBCCCGEEEIsmAbADcAvgD8ATwDHr96REEKIKhq0Iv4D4ADgglbY/wCcv3hfQgghKrjhMyr/QSvqv9PfjhBCiBwatGL9eP2b3AHsnGt36KJ197UQe7SRPosQU9CgHVFeX0VpQ7F6Dmij8T9Tmug7Wphbj4n6AW1DYi7eLQ+okYnh2aEV8ie6NOH+q3ckxBe4Il/U96/rboHXd3jPvd/wHp3v0TY0O/GqRieGgHNAf2hHmapXYrOckS/qJ7SC7LtuhzYC52fFIvEG71G80jKiDyd0demC/NSgEKukRNSfCDtfbConxx3TmOt/oYYo6jigq0e+eSAhNkeuqHPSyddobKSUyrdbbOonlNIRIsQO3YjvF0q5iI1CFwoFPEfUj4hHQcxlcvibi43WcydqhSA2KCipd0KsAk5QXl7/vqEV49REaYP4xJMrzKWuFptbV8MUuVh77R+6+tmgDVoUtYvVwgnMX3xOSNq0iU/U6SjwNRCmYrggyW1cudzNex+F7xXbxdY7zvW4FlquiBZiVdBiGKrcdoLTivoebSO5o20wttzRRdU20q9ZaWotkFqpKnJx11hwgdEBbbBSmxIUM6PBsItalt7L01cem0Ty5dRde6Kv8FobadeIsv37csGIXGz99LXTEoutmCnM/Q4pCqkJwrnDKDiW1iixNPoYWtSVCxU55NSZo7nuPtF9bRJ3L5BQKRHSBq1wjSG+pxE/e2wouDG7YF9Rt8PgGlHvm74R2yS3zmgUOAF7tMMl374gd7wPmXw7BbrQqzrmqkR6tJdGjge8r6jb9/+hvOHYSP9Z8ffFNrH+9Bi2fskyOzIxMTjgXfRjue07xhfcHZZ5QETO0LOvqNsVfTWfYZ/zEjtO8R0o1qkIXKI+IVZMfKJj7XahvBkFZYo8LPc9WdIQLiea6SvqwLvToOQADU7kajJLlGJdU7F6myv+YgBsmsUnBO7iAl+DnyJKt/fzi2U5Ymy+O5SeGkLUrWe4xGvueo3V6EQudtHbKXIdAw6tgRgZV7BDYmKvcR8cH+qU0d0Vy8r72tFOaLI3N+JJYTvpnPkNprRK3iOEhXUuJNhWZ2LCLwbAWo1CqYHUviAUoymjO4rkknJzVmzdDbncuYsLyp1HxG6nmxN1W9fLWs485VB/SaO5JWPnc3yizVGo7IwT4B6k4MOmDnwP5YH6IZXd0MpCu2VIkNjRLKnR+hYS0WX0xPvvzOXWtR2lPajgF/5R1B7vk1dL+i1TSNSnh3NdFHbWXab2blBabxLssNvXw9ooLhT1lfbAP/hcKGMnWG1HE1tWXOvS2CHPn58qtZPCp9d939FW9J/XPZ3QCvlQow/3SDFuGnbG56ihT8rl27+nD4n6d+AeRDe0z4BbWyilNxGu4+GE9sc/ohVTK/ihXpYRc8mwnaJl88xsfBe0gnNFulHWDudc619tWZJguLbVVIdZwhx/T4m62CTuzoB3vAv5A+/DKB9s0LW5WBstHlE2+cn7LYXbGPQtS7P92dERyxDR8Rx/T4m62CS+Y89yXBqWvqLOxvdEuX+V7xV57PAp7GOvAB6L1BYXTC9dEtcpxytWRejA4ZKDiPuKuk0LlEZVEvU6fPtd95mU/Qa+dFJNWZJ7Sogork3RYidHUxORfUXd5mNLh999XDdbhxNarhvnhm5uZc67NJ4QT+VYS2fsujl/RyGKsCsI3cnGktPlOdlaK+r2b5V+Ru1E6RzdGt+GR4/RgVPiWJjj76mcutgcNrfqE9OU1dHSR1zdidkSah0cc3RrLJk5/p4SdbE5UnlFG8nHtosF6l0oN3S+af6t3LwuhaRmyfHUbo3/YhjRm7r8L/P7rdH98h98//dXUfkHmeRsDeB62GNDY3YAJRNtzOcC/rz6AfF0DP/mElIgaxf1OSJRV1lDyRZ1u2IzlvKwlsdY42AHEIuaG7QifYR/61z+nSu6vUtSezPXpHzENlD6RWwGu9kTRT0kntaznjqzMiWyrj/aTfm4J5LHrGY5nYjYNhJ1MUdoRBiMM/y5zCvCAmmvu0WuYwoldvAsP8Mn2M3rtdDr7veQlVEIsTQWZ6O9YPyUyB7LXQU5B3bo9qLnCGyJ2+3mHpqeKktacCXmwRGf5zfn1CPuiuri22BvNvWSW8uOmRa5Y5kiNAf4fLh03h46vrT5iTmsKD32fL/4PnuUua64PxUX6DFtnNN+zvjUxuvrMzjXSHGf1ZF/9J6PUdnP0IHIffjBp6/fLv5akkClVpTmlr7bJ4vlU6IrvjrDUW9KhF3bN63A9n127c6s5oO4cdSQIrG1RrRH+5253/oQ3OAXMUYHS9t18lvwuZSwQ3kHwlW+W0018ruX6oj93dxyhf85XJHWl13gXrhOJ7Xy3v18ugFd6E4camvsweDS8aHYiuDs8W45naLHplNkSZH6tzigbGjMg0pKDkr3bbjGRj6bIflIcM7H/e65vx8PpQ+l21IOvdLUMf9e6n0l224wtTirSF30x9pJx364T+SdZbp1chswccU55zm6G6z5RGmtz4kmiNj3T0WvqbmWmLDS7p07omIHlJNBKFlxz05NQdbKsKtsxxR1ef7z4dGAKTjaYsow9znaCI3Cvcdn5zC7YflAMI1h62KDz8g9NGpnp9unvfCYyRQ/eN+3Kibsh8TrLs/C68VCmErUOfu+1uhvKEqjdJL7HHeId672c0Jbe0zNkBPsR7TfK/RZNgIPzWfQzdXHB87fOec7MbWWGgWUnAF8Qivqi/KyizymEHWeEKQKlKZmfyMg/znysOYYNjUzh6H5kPeSMgSw04t1ak+0v1Hf9QelkTLrRshqnZt6ofNlqxPjq8N1Oowt6nsoIiih9kCW3OeYM5Fmo8K1iXrIlWLhhL5P1O0cFEvOGcuheykdDYXSYiXbAjywHUPIquFihhs6v+wT7w6YHFEPWb+48tL1wt6hiCAXRol99+7v2zlT1HPcN3Sf+YSSAURfpu5gKOq+nLfNb/ucMyXfl5F3yfcKpc5y10JcIbfLKuAEkPsw3U3XQg/7B+8bpbn5RNsxUJC4qtQXEZwxjwhwblCYa1YyDynqrC+hNM0O7XO2aRrrlnEPHu8bFU4t6qlFOQe03+kCv8jnft/Ssxpoc3XFO7QtgMsV/oCBq77FQuCe9rFJn5QYsDH57I9s3G7H8UBb4c9O4ay/Jkw/4bOoiW6HFHUKVeg+7AIn6xhhPXmgrW9DrUuYUtTp0ipJGXKLbxv05NTvUCfOYMvuzcIgyfdsfdsCuFxen3nBe3tkx6T06IJgAw1FD6ViYK1VTOm4+BZ12KKowA/THt8UdX5O7kpW+3dPaEViaJvclKJeuyCHost7zR1t+WyKjLxtW7sg/P1TUbpvHsCW0lXL4oswSo/Zr0rFgJXtiZltBrQC5iDq9HCXRG52wrBmkje23N7tNGLX9YV20tpN5+yiptzPKLk29DflNd8QdsIrRKkYWGeEIu5h+bao039dGhHbqLImmnYPtqkpQ3jqb4gf5pMDR6m599NX1HNSL2JFxKxZpFQM7PWyRQ3LN0Wdu2jWPNOaA90tPB8hVOxIIHRN3xQCV272TfHY0XGKPm4nUrItgFgBVtRDja1UDOwWutpvfliY+5xa1DkxV9tJ28n2MeyrY+fUubpyiM/nc8gR2z5uJ75fqZeNYc9jDVXYEjGwezAzchLD8Q1LY19Bt51836gzxJiiPqSgA12kniO2fGYa8YpsbAQVEooSMbihrax9h9siTK4guNSIOif2YqIS29qanTwPEhmrox9L1Onein1ug7JJY+bUc4Sa7Uh2QpENPbcsvspzRJ4Y/KBrsL68+gFKxwwBJ+tKKRV1WvBSzyx2WPwNXWTu6+h/MEwUOoaoc4QSSxfxN9qb/w6tngW69pY78XmDcuKiArva091Ua4/PVYGstA26E1O4uMJG5dZD23heF3Uwr14avZWm0R7oDgMPlTven+sR3Wpgd+tY13rIczCHYGhRZ31lpxYqT7x/R7vA6IzPLTFo6cy9T81LiWrcxUB0ETAHam1hXOTg2szcinpLvC7qoFe6pLHv8P48Ylscu4tkUsXmyO3/9x128pt4vZYh65i7NUaq2JGG2ya4YpqrNe0K0BS1nbcQ/3LAu3XsjC4iv+BzmHxEZxXzNabm9VrodVFP7iEZvDZk8XOjydj1odJ43hsSr2Pi9VqGFHVuX5BTfJ3jyfkMzjGVivMd6z2ERAjhISffvRWYDllLVMuDOpSuFGJDNBjWaifmAdNr2o5aiA3CE6MU0a2HO7SsX4hNw0lrCfvyidlDhRAbghPaYrnoGQohhBBCCCGEEEIIIYQQQgghxJz5P1/kRSCATC/qAAAAAElFTkSuQmCC\" style=\"width: 186.5px; height: 37.5px;\" width=\"186.5\" height=\"37.5\"\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: 37.5px 8px; transform-origin: 37.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Therefore \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 208.5px; height: 18.5px;\" width=\"208.5\" 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: 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: 23px 8px; transform-origin: 23px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNOTE: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 51px 8px; transform-origin: 51px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIt is possible 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: 32px; height: 18.5px;\" width=\"32\" 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: 293.5px 8px; transform-origin: 293.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to return some complex numbers. We are interested only with real values, so in cases where there are no real \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 32px; height: 18.5px;\" width=\"32\" 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: 311px 8px; transform-origin: 311px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, please output an empty vector. Also please round-off your output to 4 decimal places, and sorted in ascending order.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function r = R(P,n)\r\n  y = x;\r\nend","test_suite":"%%\r\nP = [3 -7 2]; n = 5;\r\nr_correct = [-0.0077 0.0077];\r\nassert(isequal(R(P,n),r_correct))\r\n%%\r\nP = [1 2 0]; n = 1;\r\nr_correct = [-0.0884 0.0884];\r\nassert(isequal(R(P,n),r_correct))\r\n%%\r\nP = [1 2 3 4]; n = 5;\r\nr_correct = [-0.0696];\r\nassert(isequal(R(P,n),r_correct))\r\n%%\r\nP = [1 -10 35 -50 25]; n = 1;\r\nr_correct = [-0.2500 -0.1019 0.1019 0.2500];\r\nassert(isequal(R(P,n),r_correct))\r\n%%\r\nP = 10:-2:2; n = -3;\r\nr_correct = [];\r\nassert(isequal(R(P,n),r_correct))\r\n%%\r\nP = [1 -5 -10 -10 -5 1]; n = 0;\r\nr_correct = [-0.0458 0.0000 0.0400];\r\nassert(isequal(R(P,n),r_correct))\r\n%%\r\nP = ones(1,25); n = 1;\r\nr_correct = [-2.0000 0.1667];\r\nassert(isequal(R(P,n),r_correct))\r\n%%\r\nP = repmat([7 -2 3],1,1000); n = 4;\r\nr_correct = [-0.0785 0.0000 0.0001 0.0445];\r\nassert(isequal(R(P,n),r_correct))\r\n%%\r\nP = [1 -3 -3 1]; ns = -10:0.1:10;\r\ns = arrayfun(@(n) sum(abs(R(P,n))),ns);\r\nss = round([sum(s) median(s) mean(s) std(s)],4);\r\nss_correct = [60.5806 0.0202 0.3014 1.8229];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('R.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":6,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":6,"test_suite_updated_at":"2021-11-01T04:59:49.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-10-24T05:55:27.000Z","updated_at":"2026-03-24T13:06:02.000Z","published_at":"2021-10-30T16:02:32.000Z","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/Inverse_function\\\"\u003e\u003cw:r\u003e\u003cw:t\u003einverse of a function\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef(x)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is the function \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef^{-1}(x)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, that reverses \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. That means that if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef(a)=b\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, then \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ef^{-1}(b)=a\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. For example, the function to convert celsius temperature to fahrenheit is: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT(x) = \\\\frac_{9}_{5}x+32\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the inverse function (convert from fahrenheit to celsius) is: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT^{-1}(x) = \\\\frac_{5}_{9}(x-32)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. So 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\u003eT(100)=212\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\u003eT^{-1}(212)=100\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 polynomial function \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP\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 (presented as vector of numbers), and a value \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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, if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ(x)=P^{-1}(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, write a program that evaluates \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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(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, 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\u003eR(x)=\\\\frac{\\\\mathrm{d^2Q} }{\\\\mathrm{d} x^2}\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, if \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP = [3\\\\ -7\\\\ 2]=3x^2-7x+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\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, then \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ(x)=P^{-1}(x) = \\\\frac{7}{6} \\\\pm \\\\frac{\\\\sqrt{12 x + 25}}{6}\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(x)=\\\\frac{\\\\mathrm{d^2Q} }{\\\\mathrm{d} x^2}=\\\\pm\\\\frac{6}{\\\\left(12x+25\\\\right)^{3/2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Therefore \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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(n) = R(5) \\\\approx [-0.0077\\\\ 0.0077]\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\u003eNOTE: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eIt is possible 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\u003eR(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to return some complex numbers. We are interested only with real values, so in cases where there are no real \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, please output an empty vector. Also please round-off your output to 4 decimal places, and sorted in ascending order.\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":52990,"title":"Easy Sequences 46: Semi-prime Leap Year Pairs","description":"A semi-prime is a positive integer that has only  and exactly  prime factors. Here is a list of the first few semi-primes:. \r\nWe define a Semi-prime Leap Year Pair as a pair of years, whose difference is a semi-prime number and at least one year in the pair is a leap year. Examples of semi-prime leap year pairs are: , , and .\r\nGiven a year number , write a program that counts the number of semi-prime leap year pairs between year  and , inclusive.\r\nNOTE: Leap years are defined as those years that are divisible by , except for those that ends in , in which case a year is a leap year only if it is divisible by . This rule was introduced only starting . Before , the rule is much simpler, namely, except for , all years that are multiples of , are leap years. Please apply the appropriate rule for each year. Also, please assume that there will not be any more leap year definition changes in the future.\r\nEXAMPLE: For , the semi-primes are: , and the leap years are: . Therefore the semi-prime leap year pairs for this case are as follows:\r\n                                        \r\nTherefore, in this case the function should return:  pairs.","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: 451px; 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 semi-prime is a positive integer that has only \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);\"\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; \"\u003e\u003cspan style=\"\"\u003e and exactly \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);\"\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; \"\u003e\u003cspan style=\"\"\u003e prime factors. Here is a list of the first few semi-primes:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"155.5\" height=\"19\" style=\"width: 155.5px; 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. \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=\"\"\u003eWe define 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; \"\u003eSemi-prime Leap Year Pair\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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 as a pair of years, whose difference is a semi-prime number and at least one year in the pair is a leap year. Examples of semi-prime leap year pairs are: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"85\" height=\"19\" style=\"width: 85px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"85\" height=\"19\" style=\"width: 85px; 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, and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"85\" height=\"19\" style=\"width: 85px; height: 19px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\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 a year number \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);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, write a program that counts the number of semi-prime leap year pairs between year \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"32\" height=\"18\" style=\"width: 32px; 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=\"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);\"\u003ey\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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, inclusive.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 84px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; 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=\"\"\u003e Leap years are defined as those years that are divisible by \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, except for those that ends in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"30.5\" height=\"18\" style=\"width: 30.5px; 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, in which case a year is a leap year only if it is divisible by \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"25.5\" height=\"18\" style=\"width: 25.5px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e. This rule was introduced only starting \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e. Before \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33\" height=\"18\" style=\"width: 33px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, the rule is much simpler, namely, except for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"32\" height=\"18\" style=\"width: 32px; 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, all years that are multiples of \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, are leap years. Please apply the appropriate rule for each year. Also, please assume that there will not be any more leap year definition changes in the future.\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; \"\u003eEXAMPLE:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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=\"44.5\" height=\"18\" style=\"width: 44.5px; 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 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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\" width=\"186.5\" height=\"19\" style=\"width: 186.5px; 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, and the leap years are: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"113.5\" height=\"19\" style=\"width: 113.5px; 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. Therefore the semi-prime leap year pairs for this case are as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 124px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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:-56px\"\u003e\u003cimg 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\" width=\"370.5\" height=\"124\" style=\"width: 370.5px; height: 124px;\"\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, in this case the function should return: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e pairs.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function n = numSPLYPs(y)\r\n    n = (sqrt(y) + 1) ^ 2;\r\nend","test_suite":"%%\r\ny = 25;\r\nn_correct = 36;\r\nassert(isequal(numSPLYPs(y),n_correct))\r\n%%\r\ny = 1000;\r\nn_correct = 75870;\r\nassert(isequal(numSPLYPs(y),n_correct))\r\n%%\r\ny = 1776;\r\nn_correct = 232085;\r\nassert(isequal(numSPLYPs(y),n_correct))\r\n%%\r\ny = 2021;\r\nn_correct = 297554;\r\nassert(isequal(numSPLYPs(y),n_correct))\r\n%%\r\ny = 123456;\r\nn_correct = 877692818;\r\nassert(isequal(numSPLYPs(y),n_correct))\r\n%%\r\ny = 10000000;\r\nn_correct = 4714675318108;\r\nassert(isequal(numSPLYPs(y),n_correct))\r\n%%\r\nys = floor(123456789 ./ (1:2:9));\r\nns = arrayfun(@(y) numSPLYPs(y),ys);\r\ns = num2str(ns); s(s==' ') = [];\r\nss = [str2num([s(1:5) s(end-4:end)]) str2num(s(10:10:end)) sum(s) length(s)];\r\nss_correct = [6512641720 3421050 3682 70];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('numSPLYPs.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":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-11-02T16:17:04.000Z","updated_at":"2026-03-24T17:28:47.000Z","published_at":"2021-11-02T18:33:15.000Z","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 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. Here is a list of the first few semi-primes:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\u003eWe define a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eSemi-prime Leap Year Pair\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e as a pair of years, whose difference is a semi-prime number and at least one year in the pair is a leap year. Examples of semi-prime leap year pairs 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\\\\{1964\\\\ 1968\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{1994\\\\ 2000\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{1687\\\\ 1708\\\\}\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 year 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\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, write a program that counts the number of semi-prime leap year pairs between year \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1AD\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\u003ey\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, inclusive.\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 Leap years are defined as those years that are divisible by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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, except for those that ends 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\u003e\\\"00\\\"\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, in which case a year is a leap year only if it is divisible by \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e400\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. This rule was introduced only starting \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1582\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Before \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1582\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the rule is much simpler, namely, except 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\u003e4AD\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, all years that are multiples of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, are leap years. Please apply the appropriate rule for each year. Also, please assume that there will not be any more leap year definition changes in the future.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eEXAMPLE:\u003c/w:t\u003e\u003c/w:r\u003e\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\u003ey=25\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the 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\\\\ 22\\\\ 25\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and the leap years 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\\\\{8\\\\    12\\\\    16\\\\    20 \\\\   24\\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Therefore the semi-prime leap year pairs for this case are as follows:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                        \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{\\\\ [\\\\ 1\\\\ 16],\\\\ [\\\\ 2\\\\ \\\\ 8],\\\\ [\\\\ 2\\\\ 12],\\\\ [\\\\ 2\\\\ 16],\\\\ [\\\\ 2\\\\ 24],\\\\ [\\\\ 3\\\\ 12],\\\\\\\\\\n\\\\ \\\\ [\\\\ 3\\\\ 24], \\\\ [\\\\ 4\\\\ \\\\ 8], \\\\ [\\\\ 5\\\\ 20],\\\\ [\\\\ 6\\\\ 12],\\\\ [\\\\ 6\\\\ 16],\\\\ [\\\\ 6\\\\ 20],\\\\\\\\\\n\\\\ \\\\ [\\\\ 7\\\\ 16],\\\\ [\\\\ 8\\\\ 12],\\\\ [\\\\ 8\\\\ 14],\\\\ [\\\\ 8\\\\ 17],\\\\ [\\\\ 8\\\\ 18],\\\\ [\\\\ 8\\\\ 22],\\\\\\\\\\n\\\\ \\\\ [\\\\ 8\\\\ 23],\\\\ [\\\\ 9\\\\ 24],\\\\ [10\\\\ 16],\\\\ [10\\\\ 20],\\\\ [10\\\\ 24],\\\\ [11\\\\ 20],\\\\\\\\\\n\\\\ \\\\ [12\\\\ 16],\\\\ [12\\\\ 18],\\\\ [12\\\\ 21],\\\\ [12\\\\ 22],\\\\ [14\\\\ 20],\\\\ [14\\\\ 24],\\\\\\\\\\n\\\\ \\\\ [15\\\\ 24],\\\\ [16\\\\ 20],\\\\ [16\\\\ 22],\\\\ [16\\\\ 25],\\\\ [18\\\\ 24],\\\\ [20\\\\ 24] \\\\ \\\\}\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, in this case the function should return: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e36\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e pairs.\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":52985,"title":"Easy Sequences 47: Boxes with Prime Edges","description":"This is related to problem \"Easy Sequences 41: Boxes with Integer Edges\". However, here we will be investigating a smaller-sized set, namely, the set of rectangular-faced boxes with edges representable by (not necessarily distinct) prime numbers.\r\nGiven a volume limit, , we are asked to find the average volume of all boxes with prime edges, whose volumes are less than or equal to .\r\nFor example for  cubic units, all  possible prime-edged boxes are given below:\r\n            .\r\nTheir average volume is:  cubic units.\r\nPlease present your answer in  decimal places.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 234px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 117px; transform-origin: 407px 117px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 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: 84.5px 8px; transform-origin: 84.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThis is related to problem \"\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/52911-easy-sequences-41-boxes-with-integer-edges\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eEasy Sequences 41: Boxes with Integer Edges\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: 132.5px 8px; transform-origin: 132.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\". However, here we will be investigating a smaller-sized set, namely, the set of rectangular-faced boxes with edges representable by (not necessarily distinct) prime numbers.\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: 75.5px 8px; transform-origin: 75.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eGiven a volume 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);\"\u003ev\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.5px 8px; transform-origin: 61.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, we are asked to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 86px 8px; transform-origin: 86px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003efind the average volume\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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=\"font-weight: 700; \"\u003e of all boxes with prime edges, whose volumes are less than or equal to \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);\"\u003ev\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 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: 51.5px 8px; transform-origin: 51.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 43.5px; height: 18px;\" width=\"43.5\" 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: 48.5px 8px; transform-origin: 48.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e cubic units, all \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: 144px 8px; transform-origin: 144px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e possible prime-edged boxes are given 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: 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: 24px 8px; transform-origin: 24px 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: 660.5px; height: 18.5px;\" width=\"660.5\" 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: 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: 80px 8px; transform-origin: 80px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTheir average volume is: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 445.5px; height: 18.5px;\" width=\"445.5\" 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: 37.5px 8px; transform-origin: 37.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e cubic units.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 97.5px 8px; transform-origin: 97.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ePlease present your answer in \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e4\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 50.5px 8px; transform-origin: 50.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e decimal places.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = aveVol(v)\r\n    y = v;\r\nend","test_suite":"%%\r\nv = 50;\r\ny_correct = 29.4545;\r\nassert(isequal(aveVol(v),y_correct))\r\n%%\r\nv = 555;\r\ny_correct = 280.0224;\r\nassert(isequal(aveVol(v),y_correct))\r\n%%\r\nv = 1000;\r\ny_correct = 505.5709;\r\nassert(isequal(aveVol(v),y_correct))\r\n%%\r\nv = 123456;\r\ny_correct = 61549.4469;\r\nassert(isequal(aveVol(v),y_correct))\r\n%%\r\nv = 1000000;\r\ny_correct = 497580.1996;\r\nassert(isequal(aveVol(v),y_correct))\r\n%%\r\nvs = [123 321 1234 4321 12345 54321 123456 654321 1234567 7654321 12345678 87654321 123456789];\r\ns = num2str(round(sort(aveVol(vs)))); s(s==' ') = [];\r\nss = [str2num([s(1:5) s(end-4:end)]) str2num(s(5:5:end)) sum(s) length(s)]\r\nss_correct = [6516413670 4182464836533 3548 68];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('aveVoL.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":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":"2021-11-02T12:28:19.000Z","updated_at":"2026-03-24T17:36:30.000Z","published_at":"2021-11-03T08:34:56.000Z","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\u003eThis is related to problem \\\"\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/52911-easy-sequences-41-boxes-with-integer-edges\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eEasy Sequences 41: Boxes with Integer Edges\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\\\". However, here we will be investigating a smaller-sized set, namely, the set of rectangular-faced boxes with edges representable by (not necessarily distinct) prime 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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eGiven a volume 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\u003ev\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, we are asked to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003efind the average volume\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e of all boxes with prime edges, whose volumes are less than or equal to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ev\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 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\u003ev=50\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e cubic units, all \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e11\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e possible prime-edged boxes are given 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\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{\\\\ (2,2,2),\\\\ (2,2,3),\\\\ (2,2,5),\\\\ (2,2,7),\\\\ (2,2,11),\\\\ \\n(2,3,3),\\\\ (2,3,5),\\\\ (2,3,7),\\\\ (2,5,5),\\\\ (3,3,3),\\\\ (3,3,5)\\\\ \\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTheir average volume is: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e(8+12+20+28+44+18+30+42+50+27+45)\\\\ /\\\\ 11 = 29.4545\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e cubic units.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ePlease present your answer 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\u003e4\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e decimal places.\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":53009,"title":"Easy Sequences 48: Prime Big Omega of Factorial Sequence","description":"For an integer , the prime big omega function, , is defined as the total number of prime factors of . So, if  , since , therefore .\r\nGiven an integer , write a function that evaluates the following summation:\r\n             \r\nFor example for :\r\n            \r\nIn this case therefore, the function should return .","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: 272px; 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=\"\"\u003eFor 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);\"\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, the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Prime_omega_function\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eprime big omega\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 function, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"33.5\" height=\"19\" style=\"width: 33.5px; 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, is defined as the total number of prime factors of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e. So, if  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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width=\"51.5\" height=\"18\" style=\"width: 51.5px; 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, since \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=\"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);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, write a function that evaluates the following summation:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"59\" height=\"46\" style=\"width: 59px; height: 46px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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 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:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 76px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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; 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\" width=\"525.5\" height=\"76\" style=\"width: 525.5px; height: 76px;\"\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=\"\"\u003eIn this case therefore, the function should return \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAJKADAAQAAAABAAAAJAAAAAAqDuP8AAACAUlEQVRYCe2WyytHQRTHvfuRWFhQKKGsWGGjpDxWWCoL5U/wF7CwYYGNDTa2lEfJwlYpFEo2ymNDHhuRt8Ln5M5t+nXvzP397mWhe+rTnDvznTOnM3Pn3oyM2OIKxBX43QpkpxC+Cu0w7MEz2KwGQTcMQC+UwBPcQSirZPYMvMMX1ILJchkcAaWXOTrzPKdSCOQ/Vk4zDW+gB7QlNJek1+cqfwVNHqRkS6hHQUr+ASqYKaFOR3dE2w4JKIYuOAQVQ1rZzrRNFlDBTAltoLuAUo+V8uk7ARVnykMTuGtbC+SXUCEa2d5+Q1Sptkpo30uX5dWZZl818zZh0TD/QBv71HzXzXG98I6cETlDJnvVBs8033WjrJAb1OBUaWOrmu+6f51Qj7PyDe2ym0UaTpBDbQtbgOAW5FD32cS28SgSGneSWbAtFmQ8bEKNLCKX6y7IfRTawiRUweqXcApltkx++1AXkcCak0QH7bUtoSjvoeS1ZGskGflbaIVziMxS3TL5BVmHB2gyZDHIWLNh3HdohxH1DfL7lqnJcgzkTXqBNvAzqZrc3HW6IOiW6V/vhB4gyc/keRbknrmCQQca1yThemiALTiGwCZ/dkOgqiPtBMiWeNkknbrW5svXP7CNoXwEr6D39Ms/km4tPHhp/fru0EdyJ+lJxH5cgbgCcQX+XQW+AUYljhBCz4RVAAAAAElFTkSuQmCC\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = FPBos(n)\r\n  y = x;\r\nend","test_suite":"%%\r\nn = 5;\r\ns_correct = 12;\r\nassert(isequal(FPBos(n),s_correct))\r\n%%\r\nn = 10;\r\ns_correct = 66;\r\nassert(isequal(FPBos(n),s_correct))\r\n%%\r\nn = 500;\r\ns_correct = 330834;\r\nassert(isequal(FPBos(n),s_correct))\r\n%%\r\nn = 1000;\r\ns_correct = 1392600;\r\nassert(isequal(FPBos(n),s_correct))\r\n%%\r\nn = 50000;\r\ns_correct = 4148573165;\r\nassert(isequal(FPBos(n),s_correct))\r\n%%\r\nn = 100000;\r\ns_correct = 16940051386;\r\nassert(isequal(FPBos(n),s_correct))\r\n%%\r\nn = 5000000;\r\ns_correct = 46325477660928;\r\nassert(isequal(FPBos(n),s_correct))\r\n%%\r\nns = 1000000:1000000:50000000;\r\nss = arrayfun(@(n) FPBos(n),ns);\r\nst = num2str(floor(ss)); st(st==' ') = [];\r\nsss = uint64([ss(end) ss(10) str2num(st(50:50:end)) sum(st) length(st) floor(std(ss))])\r\nsss_correct = [4817780104972976 187651182473596 964919801175052 40269 769 1477452839351441];\r\nassert(isequal(sss,sss_correct))\r\n%%\r\nfiletext = fileread('FPBos.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":5,"test_suite_updated_at":"2021-11-09T18:16:52.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-11-06T17:27:09.000Z","updated_at":"2026-03-24T17:42:56.000Z","published_at":"2021-11-07T09:44:24.000Z","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\u003eFor an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Prime_omega_function\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eprime big omega\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e function, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\Omega(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is defined as the total number of prime factors of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. So, if  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=300\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, since \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e300 = 2^2\\\\cdot3^1\\\\cdot5^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\\\\Omega(300) = 2 + 1 + 2 =5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\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\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, write a function that evaluates the following summation:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\sum_{i=1}^{n}\\\\Omega (i!)\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 for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en =5 \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\sum_{i=1}^{5}\\\\Omega (i!) \\n= \\\\sum\\\\Omega ([1!\\\\  2!\\\\ 3!\\\\ 4!\\\\ 5!]) = \\\\sum\\\\Omega ([1\\\\ 2\\\\ 6\\\\ 24\\\\ 120])\\\\\\\\\\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ =\\\\sum\\\\Omega([1,\\\\ 2^1,\\\\ (2^1\\\\cdot3^1),\\\\ (2^3\\\\cdot3^1),\\\\ (2^3\\\\cdot3^1\\\\cdot5^1)])\\n=0+1+2+4+5=12.\\n\\n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn this case therefore, the function should return \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e12\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":53029,"title":"Easy Sequences 49: Prime Little Omega Function","description":"For an integer , the prime little omega function, , is defined as the total number of distinct prime factors of . So, if  , since , therefore .\r\nGiven an integer , write a function that evaluates the following summation:\r\n             \r\nFor example for :\r\n            \r\nIn this case therefore, the function should return .\r\nNOTE: This is an easier version of the previous problem, 'Prime Big Omega of Factorial Sequence'. So, for an added challenge, you may enjoy prime factoring each number, as the MATLAB functions 'factor', 'primes' and 'isprime' will be disabled.","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: 378px; 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=\"\"\u003eFor 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);\"\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, the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Prime_omega_function\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eprime little omega\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 function, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"32.5\" height=\"19\" style=\"width: 32.5px; 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, is defined as the total number of distinct prime factors of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e. So, if  \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"51.5\" height=\"18\" style=\"width: 51.5px; 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, since \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"103.5\" height=\"19\" style=\"width: 103.5px; 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, therefore \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"73.5\" height=\"19\" style=\"width: 73.5px; 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.\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; \"\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);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, write a function that evaluates the following summation:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; 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:-17px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"84.5\" height=\"46\" style=\"width: 84.5px; height: 46px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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 for \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:-39px\"\u003e\u003cimg 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\" width=\"926\" height=\"89\" style=\"width: 926px; height: 89px;\"\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=\"\"\u003eIn this case therefore, the function should return \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"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=\"\"\u003e This is an easier version of the previous problem, '\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/53009-easy-sequences-48-prime-big-omega-of-factorial-sequence\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003ePrime Big Omega of Factorial Sequence\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e'. So, for an added challenge, you may enjoy prime factoring each number, as the MATLAB functions 'factor', 'primes' and 'isprime' will be disabled.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function s = pLOmega(n)\r\n    s = sum(n-1:n+1);\r\nend","test_suite":"%%\r\nn = 10;\r\ns = pLOmega(n);\r\ns_correct = 44;\r\nassert(isequal(s,s_correct))\r\n%%\r\nn = 100000000;\r\ns = pLOmega(n);\r\ns_correct = 4999999734962719;\r\nassert(isequal(s,s_correct))\r\n%%\r\nn = 100:200;\r\ns = pLOmega(n);\r\ns_correct = [4879 4979 5078 5180 5282 18944 19140 19335 19533 19731 1159556];\r\nassert(isequal([s(1:5) s(end-4:end) sum(s)],s_correct))\r\n%%\r\nn = [123456 17 4567 1000 77777];\r\ns = pLOmega(n);\r\ns_correct = [7620422469 132 10420358 498374 3024464350];\r\nassert(isequal(s,s_correct))\r\n%%\r\nn = 55555;\r\ns = pLOmega(n);\r\ns_correct = 1543061831;\r\nassert(isequal(s,s_correct))\r\n%%\r\nn = 33333333;\r\ns = pLOmega(n);\r\ns_correct = 555555458204555;\r\nassert(isequal(s,s_correct))\r\n%%\r\nn = 123456789:-1:123456000;\r\ns = pLOmega(n);\r\ns_correct = [7620789046447631 7620691639354516 7620740342849265 7620740342823260 7620691639354516 28172458266];\r\nassert(isequal(int64([s(1) s(end) mean(s) median(s) mode(s) std(s)]),s_correct))\r\n%%\r\nfiletext = fileread('pLOmega.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java') || contains(filetext, 'factor') || contains(filetext, 'prime'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":1,"comments_count":13,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-11-11T19:21:07.000Z","updated_at":"2026-03-24T18:12:35.000Z","published_at":"2021-11-12T14:08:55.000Z","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\u003eFor an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Prime_omega_function\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eprime little omega\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e function, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\omega(n)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is defined as the total number of distinct prime factors of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. So, if  \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=300\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, since \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e300 = 2^2\\\\cdot3^1\\\\cdot5^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, therefore \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\\\\omega(300) = 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: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\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, write a function that evaluates the following summation:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\sum_{i=1}^{n}(i-\\\\omega (i))\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 for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en = 10\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\sum_{i=1}^{10}(i-\\\\omega (i)) = (1-\\\\omega(1))+(2-\\\\omega(2))+(3-\\\\omega(3))+(4-\\\\omega(4))+(5-\\\\omega(5))+(6-\\\\omega(6))+(7-\\\\omega(7))+(8-\\\\omega(8))+(9-\\\\omega(9))+(10-\\\\omega(10))\\\\\\\\ \\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ = (1-0)+(2-1)+(3-1)+(4-1)+(5-1)+(6-2)+(7-1)+(8-1)+(9-1)+(10-2)\\\\\\\\ \\n\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ = 1+1+2+3+4+4+6+7+8+8 = 44.\\n\\n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIn this case therefore, the function should return \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e44\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\u003eNOTE:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e This is an easier version of the previous problem, '\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/53009-easy-sequences-48-prime-big-omega-of-factorial-sequence\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ePrime Big Omega of Factorial Sequence\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e'. So, for an added challenge, you may enjoy prime factoring each number, as the MATLAB functions 'factor', 'primes' and 'isprime' will be disabled.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"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}}