{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-16T00:12:35.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-16T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":53725,"title":"Easy Sequences 56: Counting \"Ugly\" Numbers","description":"A positive integer  is called a regular number, if and only if there exist a non-negative integer , such that .  For some reason, such a number is also refered to as an ugly number. Below are the first few regular numbers:\r\n                            \r\nIt turns out that regular numbers are not so regular after all. In fact, regular numbers are quite rare. There are only  regular numbers  and just  regular numbers .\r\nGiven an integer , and exponent , we are tasked to write a function that counts the number of regular numbers less than or equal to .","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: 174px; 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 positive integer\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Regular_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; 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; \"\u003e\u003cspan style=\"\"\u003e is called a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Regular_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eregular number, \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eif and only if there exist a non-negative 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=\"\"\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=\"49\" height=\"20\" style=\"width: 49px; 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.  For some reason, such a number is also refered to as an \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eugly number\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e. Below are the first few regular numbers:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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m1OX/tjK2M75tvJO6beiFBVzEfIVny9Evrrryq+MzHcA2n10XcHAPN50nwLMB9gGcQeQ8sDHl2jqPRJQhYsD01P9ckDVzZ9q8pLjf4B3AbYj4BeJ2IuiPRR9ovc+pJ0L/AbgoiXpzyLOn2ylEH6lUH+iJm2cg/RhKRqAjtMB0cuDLg+FJrkfiVLuKFOBiDQXf+Nfx5H2Zza01auU3b2hrE/2BEXvhT4VtbJt+zmbc+FUM6vvJ89t+pHeHp9dOe3KB1WbfTnN4b+qfaZ43Vzjv38jPjXRVLlKm6SU47rXlvwIimnPc8AwQyNLIY3t9wIjAZHDEJF+5PjlQB2nYhNDrqXcWw8EZgJio4SfQ1rb0sSprf2tkUE7uZ/y3JBahkDhzgD3Z+GDL3/6uQFJ/f9bDstNZIJFJiFddKWcpynPTaHjYenyIsk+nHaxnob4b1f7fuw5Npfvh3CqTprce5QvL13uUSHvFbHjoY5NXTzGf7vktK5PpjxeTHNNv82UGZLG25+5AJUeEaDA9xAY0ISxyjeRSpsfAJY0lghP/CqqysUD21DxFJ7JWax8CApeBG4C9JfMNi8HVLs3xsN0QO3f/mqBgPjxmj79AMPDwz1KmT8GtGGrsp2iV/r0d6TtaKvgmb6Npn8XQ/3hSOPXeGmfC1NKcfG3o9CgtM+Lijp5CJlSlrfjqWQCFInemMuBNv1c+urCqZQ1hW34kakdV0679EGxO4TTtv1XbLOFdXPtJVSS+fxZmwKk8wAp5WbXlIvJ4hoje8Q+FkWTkc6XVa5ZqhyGB7FvvJrRUryOU1uTSyPjGEC97H0Uz3yha0tcOLW1fQYyyOnvbAUi0mnXE4CMmR5yrVely3ma8twUMx4qH6a4L6ddrKeTYbiv/3IuyPzIte+nPse26fshnOrzp6s9yoWXLn1f5cn1PJRiPNR2bfEY/x0snNr6pqafhgf6Py+Ol1AzQuJUcA5Ahc8DawK+EnII9G1DL8+f4b8MvAVsomcmeF4GOtYGtgC+Bagve+Tq+0CM8DLgVuAFYFWDojlIYzt8cW9bRqIBfgVne8QtQIz8BJVFF+eGSdZEIjc+KfdpUyHPtOEo//NK55tVKPrZ1peBFMJfj4hezsFxlVKO6QbArwHJZ7gykFJc/I19FRseaGhcvRk9tKGsT/YExYbQy4G2/Vz648KplLWFqf3I1I4rp135oGqzL6e5/Fe1UY03zbVnUFh8qu7Cb1+l3HNqAwnj8ndSL7Po5AGWa96phvzDkCb9GG/IT5nUxGlTW19RbKXNn2yqEJHfxKlNNdd9fjCgfUfbCkWmk8ePAv8C8Nwg48eQe9BKgEiX83QZGJHq3BQ6HsJDU+jDae71NNR/c+/7nPucj22cY78Cveo8j/X9UE7VedT1HkVb6njp0vdVnhhvOg+lGA+9TdtzjP8OJk5t/ZN0vkvKu88USfQN10eFIwD5gjsL8Y18lVTlfQ+Bgc30V+OCdDXwHrB3f2q7kR6o50uzLFZ8mY6Rr6Myddnsn1PlT49pxKMu58OCqs3HPeqZivJFUHji30OzyY3IkHIn2go5pnMhIlfUdz7AQ8opAA/I0gbjKX6aOgp61K/t1M8FRG4YuVFKm39BPLW4+NvuaFRs6G0wgPlStu6lp0HNgOwJit6Qy4Gcfu7C6YAOGhJS+pFBvfNfK+jCB3V7fTjN6b+6nXx2mWv3oZz4ySRWssgkpEu5pos5i4ra5M2Qy1+1zQC4zumyPBK4n9PepfRMPOe6HHDh1GDegKTLkCJ8xv6qbYDyKqGJU1s9pm8FiH1r1BVMlEdeDwXUDxb7KboHyzylST1AyLkpZjzYrq80cZpzPY3x39z7ftvn2FS+H8OpzKWu9yixg6GNl8Hk+7TTdh5KMR7U7yox/jvYOG3qMz9W8r2De9LDwEnABsAAWWJAysKDEG8VNlfyuLm0cZBRmkgWZWf5EnMMcEUyrfWKepHNNvnityTwYYAHr/mAr3wEFX4AcAD58w/TV/MRSKfQiSSfN0Jt/GyR7XAS0Z71gJWBGHlWqVzHDy+mdq7Kks8YOR2VeUjjV/BDgHnAtwHeal8CjAKGAGcBNwDMD5W5qEjfORD4PMAD4SsAf/Z6B7AmcCxA+f3CIPuff1da5ByqEzVfHbu6OjnyuvDz2H6l9KMYW9RxzOWDMfbm9F+TnS5zzdWn2vSnD8H4a4FZwG7AW4AuP0LC6sAZwHZ6Jp43VtI2RXzx6vlBhOq8UYoFRV04dVF8JQrtUxWM3ZtM7blwaqonaXLBz/2M49K28NDHX3v2AN8CKDxTiAyGeSq29CKyB+BzboodD2nbJ2ziVPWLttfTGP91HXtyE7tO5TjHpvL9GE5l7Lveo9T5bOPFdfxjx161pS5uOw+lGI+6dvU8GUOm+/rvYONU75v+zHcQXtpdD3yswk4ItwachS+CJwB8UeJX1VOAELkLlbi4EqNDFHjU4QsZ2wm11aMpY9FpSJW+rmgs0Zz4WUWH6HIJn2hWHVXigsquv0VpWWyxwys97BNv7GyifsG6xlbIIZ1/reQ9gO1911Ce+a9X+SzDw0pbMhSKnwJkPD/XQkMu/sYDlthAboZY7GC6cMfya1jKhSRPQCWxoW4emHQfWNXN5ecunJrsNKWl8iOTbldOc/ugyVZXTrv2X9e5di46KfP5RFOHqzTmSbkpNeV8s/jlil8xZgNr1VS+H3nSvk94QI1O3yxXTl30rq3054suFTzKuHJqU7k4MmYB5FkuhG1lU6d/CgplfM9SlHc9TxVT+qPTEBNb685NsePR32Bg5FOKnSqnOdfTGP/Nue/nOMem8v0YTjmVut6jaIMqNl4Go++bzkOx46Fy4RKP8d/ByGldn49DJtfat4GvA9b11vZSgDp9//XfSQi54bIcN7ctgcEqu8Ow84BzAH4V7kJ+VzX6EkLehocIB+69Bqh6pSwvcNoUTiaKesu2MMXvT/US44M1VXmwEnlSIgHhZqgjumYY6t+LNN60ioyRSAvhIdDJDZpyFXB1Xyz/H0+jSd7aUsjNBn2xgX+sX+Uzh+PGg27XMhj8PIaDVH4UY0NuH4yxtUv/9Zlrv1Y6uZES16MbKgm3KfGY6DKofD2wOsCvADMBm8h+YQu5/6gi5fR0tYxP3IdTF73iTywbuzep7flwqtZT4x/HA8eEwvU+p0xHYxw7ivpXAbucpwutGfiny7kpxXgMbNkvxcZpzvVU/NEW6n4q5Ziec99ne9K2LVTZlzLvqokN8VS+L23bwjpOaWKXe5SJIhsvg9H3xVZ17baNg6Q3jYeJk7q0GP8djJza+sqzwclVJj9Mng68UD0HB/zpBAfkZwEaXL8QBajur7IDYpxkFwG2C48VkPc9oE05G8rJ0+1tNgLdc6p2uFnlEr5Ys2+xFy/DoOOlStfrCIcDJvk3JLI94lBTAce0Yyod1GP76Qx/+ilt8TatDdkUSjlH2c5s4ANAG+Lqb8ejcenzkRZDjlLKnGQpE5o8QdHt+suBrvzclVMXLlL5kaktV06HoXJOHzTZ6sppV/7rO9f48sL1jD41F5ALSUT7hWncjFnmDWA5IFaWhIIbgFeBzWuUTULeFjX5knUYIrIujJfERKEvpy7N7lLZy/nMMUghqTjl4YtcPpjCKE8dK1dts/3tlLpdzVPFhAHRs5FCO28fkLMwIdV4WNQ7J9s4HQzrqXSiyX+73vfFToZzAI576Dm2Dd+nXbo0cXoMKrAfRJdnTLHbxstg9P0ZFW8+7xVN4yE8uIYx/jsYObX1e3LF9X22Amq67UVaLcM4f+ZBGbEw8PrTdEiyKVgLGV8ENrIVMKRvibRrgZuAiQBvl3Th5nI+sLaSwbRdgb2AZZX00Cj1yWHqTIOSkL4Z1Dglpe7bJ9EqD578h67OM1jg0ze+IF9c6SDvnzHoYxJvYynzgd/2xRb+4du3O5W6H1HialT9Iv6omoG4T9+0qv2P/OnOFcDSADcQztMXAV18+6bX5/PipkRDGu0R2U4iWri98qy/wMfy4mqnmNCln/vaKjbrYUo/0nXz2dXO3D4YY2sX/hsy195CJ/mSTqG/q78Q6EvEH2MBuRS8BnFeJoiE+D73b/ol/XQ34G7AJOOQeA7wiikzIC3E90M4dTHta1WhnyPkGKjSJaf0RZ4tKFctDGr/DOG0TqHsqzy7TVMKdjFPleYHRDlGdeemmDmei9PBsJ4OINaS0PW+bzErKDm17wcZgUpd7FF1ttp4GWy+33QequtjU56P78f4byyn7Ad/TcwLnaX4oMlQPO8EjNbS5bGurpSRcN0qMksSUoR8+eZLzWUBynqruqzPnynbhF9W+WLPcgsAvkA1CQ9gfMkS285HXMd1SJOvNTxEiTCd9Yg/AiOBOtkXmTzQ8YaLt0W6fAcJ1DVNz8BzSN8MavqT5iDGtqb3pywa8ekbX1hvAZ4Bfgnok5AH3QcAtncUoEtI3zhJXwaok7dY+he0DyKNlwLM/y9AFZ++sR4d7lWAuh4E6Gy6nIwE5tMm9lckpG9SV0LOuacA6n8T+AJgE9++mfT0IpFtEXX+huy+f4CR5fhTvo8zQZGtEWc68/ULoRS8TKp0U/+VQJ3k9HOTHb1IpJ2EjdMu/AjmLCKT8CR2NnGa0wcXMbJ66FVstXHKorn9N2aujYG9stf8isZr8ms8c3y4zuh99vV9vnyeW+nj2n2+Ab9AGtdX+vEdgIs0fZUJ8f1QTveDwTOBPwGHA0MAVQ7GA/l8FOBXXV265JTrqfiiPta6nb6crggFHPsLAH3dpu6VgKeBBcCOgC455+m+aDz03BQzx3Nz2vV6KmPc5L8sdxbAudnFvs/2RerOsbl9X2wyhU2c5tyjYnnJ5fux5yHTOEha03j4+j71xvhvDKdboW2u0/RHvn/pwg8OzOO78Vgts6muVrzvIzp1NZ0N9Xq1z3I5cHltqUUz+RJ2NEBjBKcjviRgkuOQKOUYPmIqpKStg/hzgFqnLv5XlOVmQ+EhYz6glt+HGTUiL3isMwuYBKwCbAycDTB9KjAC0MW3b3p9/bluUfXtGw9uKg9v4ZkXIHSWvYHHAOZ/AzBJaN+2hLLXAOq+EeBNH2VlgF/AmD4NWAEQ8e2b1NsBEfaLOq8CRgEikxCZBzBvT0CV0L5Rx2oA57tcePGQrjs3kvoltG+iwNffWI91yD37/gjARY5C3/oLwHQuTksAqsTwQj0fBuTCiW08D3C+mSS3n6s2+HDalR+JvT6cSp2cPiht+nAqdXZAJIf/xsw1sXVbRGQ9+SbiPCQRxwKc628DnwJUCfH9/4QC6nPFAWqDNfGmg5ev78dwerXWvzvxPA7g4U/6z/1pVUCXrjk9DQZxbLiONokvpwdBoYw795eLgI0A8sBfK8wCOM/0/QxJ/bItYjnm6VNoR2ylXZOAVQCXc5OMsdRvCtU53gWnXaynoHIRafJfFh4KdLHvL2IoHurOsbl9X7dNfXbhdAdUyLFHxfAifcrh+xuiMdVffd8rxFZT2DQevr4vbYT4r9QN4ZR1fwgIT7ys419xEFkWEXl/YJkfSEYV1tXVivY9Xos/qedyU2Zomq/SU9HQ64B0Wg1fQfrDBkPUgWF5EsUN3iY3I0PV2xQ/VlN0hVb/RC1ff/yaVl7aexXpvwf2AeTyAdFFxLdvi1Q2PHCTZftTDXlM8u3bFNRRJ6H0jWlcjHgYs0lM38ZB6eOAtDcbcY77G8B/APpLKZK8+8Y6lO2B+wG2xTaeAF6snvnivhOgS0jfOE+mA+SOfw1jKvB5wDY3kNUvvuMmFUP8TeryMutSgJyQm94q5PMlwHBAlxBeqIMXJjwskhsZcwmZNhM4BFAlt59L2yGcTkFlW9/a8qMQTqWPDMcBjwMyDm36YAintJGSw39j59pCSxf+jyd/wwM5fakC40zbDTCJj+9/AgpkvFxC2mD6tZvJji8pujk3dPH1/RhOt0DjnI+mPjKdHx9M6xOS+6RLTnthAe3WD3R9hml/+HI6EvW5juq8cO3hvnY28CGgSfZAgTbnKdsPPTfFzvGuOM25nprGt8l/pU7OfV/a1MNZSOAcnqpn4Dmn7xuaXyTJldPtUavtM2YsL9KxHL4/BY1xTTKtU03nIbHTFDaNh6/vq22E+K/UD+F0AioLR9wrdeGFOPlbAGyrZTbV1Yr3/3LA6XLA5YWFDVwL8FDDzXYfoC1ZHop5+81J9QGAXx3aFOrfHLgQ2B+4GKiTdZE5FlgB4ObMSw5Z4BCtlcHet7VgPX/+yFt9Xnj0AjxoPA80SUzfOAc3A0YDPMDeC5BXOoNNfMdN1bMBHsYAKwEcQ355ehKgg5rEt28/hZKZwEMAHftFwEdi+ubTjl52DSTI16dnEb8f4Ny2iS8vNj050nNy2pUfxfCY2wdjbG3bf2NsU+suiQce5LiuUbiW3gW0ta6xjVyS0/fJ41bA6gAvArhmc33lmv0O0CQ5fV+1ZZvq4RGEL6gZlrgvp8Ogh4fF1YB3AbZD8GLdR3LM05hzk09f9LJdcfp+Wk8H877/fvX9tveoWF7ET3L4fsx5SOwMCX19X20jxH+lfginH0VlvndNA/T3EO554wC+T8wGdKmrq5dt5T2eSv8BON046BZ5Pq+J8vOA73jWCy1+DiryBXhkqAKPeqVvHmQ1FC3j1kBQhuzc8zmmSznnS4ydhdMY9sx1C6dmXmJSC6cx7JnrFk7NvMSkFk5j2DPXLZyaeYlJLZzGsGeu+37i1NyDtKnXQd0/gKTv8ddUSpP+QwaGfvPGjV8GbgJcfwZpUOOUNASlzgB4085fRbQtpW9pGC7jlobHWC0553OMrbnnS4ythdMY9sx1C6dmXmJSC6cx7JnrFk7NvMSkFk5j2DPXLZyaeYlJLZzGsGeu+37h1Gx9O6k3QG3yy4FLK6WmvxORshv82cTpwNCUSi26voz0XmCsJT91culbGkbLuKXhMVZLzvkcY2vu+RJja+E0hj1z3cKpmZeY1MJpDHvmuoVTMy8xqYXTGPbMdQunZl5iUgunMeyZ675fODVb307qHVDLy4HLUqo/oVLKn/vz76W3JT1tKTbo5V8j4L9rkEt6cjWEdkrf0pH9f3ncYljKyUuMnbl9IcbWwmkMe+a6hVMzLzGphdMY9sx1C6dmXmJSC6cx7JnrFk7NvMSkFk5j2DPXfb9warY+fSr5mA/wcuC7QDLhP35zN0DF9wNbA0UKA4WBwkBhoDBQGCgMFAYKA4WBwkBhoDBQGBhcDGwIc/jezvf3+wD+g/pJZVVouwTgv7bMRvivL58IFCkMFAYKA4WBwkBhoDBQGCgMFAYKA4WBwkBhoFsGJqP56QD/Vx/+6p//K98owEn4Xzb4Cv9LoU2AHoD/mN+5QJHCQGGgMFAYKAwUBgoDhYHCQGGgMFAYKAwUBrpj4BA0vTTwN+BOYA5QpDBQGCgMFAYKA4WBwkBhoDBQGCgMFAYKA4WBwkBhoDBQGCgMFAYKA4WBwkBhoDBQGCgMFAYKA4WBwkBhoDBQGCgMFAYKA4WBwkBhoDBQGCgMFAYKA4WBwkATA/8L8ZnjI9I3wv0AAAAASUVORK5CYII=\" width=\"515.5\" height=\"19\" style=\"width: 515.5px; height: 19px;\"\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=\"\"\u003eIt turns out that regular numbers are not so regular after all. In fact, regular numbers are quite rare. There are only \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39.5\" height=\"18\" style=\"width: 39.5px; 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 regular numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"42.5\" height=\"19\" style=\"width: 42.5px; 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 just \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"47\" height=\"18\" style=\"width: 47px; 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 regular numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"19\" style=\"width: 40px; 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 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,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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 exponent \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);\"\u003ee\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, we are tasked to write a function that counts the number of regular numbers less than or equal to \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\u003c/div\u003e\u003c/div\u003e","function_template":"function c = regCount(n,e)\r\n    c = n ^ e;\r\nend","test_suite":"%%\r\nn = 10; e = 5;\r\nc_correct = 313;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 10; e = 10;\r\nc_correct = 2053;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 2; e = 100;\r\nc_correct = 48694;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 7; e = 77;\r\nc_correct = 473183;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 10; e = 100;\r\nc_correct = 1697191;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 77; e = 77;\r\nc_correct = 5166439;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\n%ns = 1:100; es = ns+10;\r\n%cs = arrayfun(@(i) regCount(ns(i),es(i)),1:100);\r\n%ss = floor([cs(25:25:end) sum(cs) std(cs) sum(num2str(cs))]);\r\n%ss_correct = [203379 1797050 6815143 17856016 421336320 5052973 44715];\r\n%assert(isequal(ss,ss_correct))\r\n%%\r\nns = 1:25; e = 100;\r\ncs = arrayfun(@(i) regCount(ns(i),e),1:25);\r\nss = floor([cs(5:10:end) sum(cs) std(cs) sum(num2str(cs))])\r\nss_correct = [585064 2751849 4607635 57125382 1487797 10278];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('regCount.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":3,"comments_count":27,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":"2021-12-19T18:30:20.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-12-17T16:20:39.000Z","updated_at":"2026-03-19T15:29:37.000Z","published_at":"2021-12-17T17:33:29.000Z","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 positive integer\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Regular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e \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\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is called a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Regular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eregular number, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003eif and only if there exist a non-negative 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: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\u003ex\\\\ |\\\\ 60^k\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.  For some reason, such a number is also refered to as an \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eugly number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Below are the first few regular numbers:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60...\\\\}\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\u003eIt turns out that regular numbers are not so regular after all. In fact, regular numbers are quite rare. There are 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\u003e2,053\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e regular 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\\\\le10^{10}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and just \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e48,694\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e regular 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\\\\le2^{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 an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e and exponent \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ee\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, we are tasked to write a function that counts the number of regular numbers 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\u003en^e\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\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":53109,"title":"Easy Sequences 52: Non-squarable Rectangles ","description":"Any integer-sided rectangle can be cut into unit rectangles () and rearranged into sets of smaller rectangles. For example the  rectangle can be broken as follows:\r\n                                                      \r\nWe call an integer rectangle as \"squarable\" if it can be can be broken (i.e. cut into unit rectangles and rearranged) into any number of non-unit squares of equal sizes. For example the  rectangle can be broken into six  squares. Therefore, the  rectangle is squarable.\r\n                                                \r\nInteger rectangles that are not squarable are called \"non-squarable\". The  rectangle, shown in the first example above, is a non-squarable rectangle. The complete set of non-squarable rectangles with area  square units are as follows:\r\n\r\nCreate a program that calculates the total area of all non-squarable integer rectangles whose areas are less than or equal to a given area limit . \r\nFor , the program should output:\r\n        \r\nNOTE: Reflections and rotations are not significant and should be counted only once.","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: 544px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 272px; transform-origin: 407px 272px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 188.5px 8px; transform-origin: 188.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAny integer-sided rectangle can be cut into unit rectangles (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEUAAAAkCAYAAADfJffWAAABK0lEQVRoge2YUQ2DMBBAnwcc1AA+UFAHc1AHWEDDJMzDLEzDLGwfhaxkhNBysN5yL2n4uvZ4NL0rYBiGYRi144Dm10nsoJWczAED8JKe+CQ88ACuEpM1fGRMQ5OUjihjyn23lA4I4/OOPik9cBmHmJSUgD4pKdVKaYEncefl4Mc4V7guVCwlPZu2ivFJTF+4LlQsBfLESAmByqXANjGSQkCBFFgXIy0ElEiBZTFHCAFFUmAupucYIaBMCnx3zNJCQKGUtOPMKdc5qJKSniHpHUVajBopS4dqSYO3BRVS1qrMEWKql7Kl7EqLqVpKTh8iKUZcimN+CIbCeUoaMwkx6Qd9sO+2jSMmf1sYA7GU5jC9YG4fUhrniTtjKf9ARf+F/MlxhmEYhmEYf8Ub9AbIMJOfOosAAAAASUVORK5CYII=\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" 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: 167px 8px; transform-origin: 167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) and rearranged into sets of smaller rectangles. For example the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" 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: 113.5px 8px; transform-origin: 113.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e rectangle can be broken as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 80.5px; 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 40.25px; text-align: left; transform-origin: 384px 40.25px; 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: 108px 8px; transform-origin: 108px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                      \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 246px;height: 75px\" 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\" data-image-state=\"image-loaded\" width=\"246\" height=\"75\"\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: 375.5px 8px; transform-origin: 375.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe call an integer rectangle as \"squarable\" if it can be can be broken (i.e. cut into unit rectangles and rearranged) into any number of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 98.5px 8px; transform-origin: 98.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003enon-unit squares of equal sizes\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57px 8px; transform-origin: 57px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. For example the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" 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: 104.5px 8px; transform-origin: 104.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e rectangle can be broken into six \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" 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: 31.5px 8px; transform-origin: 31.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e squares. Therefore, the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" 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: 74px 8px; transform-origin: 74px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e rectangle is squarable.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 88.5px; 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 44.25px; text-align: left; transform-origin: 384px 44.25px; 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: 96px 8px; transform-origin: 96px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 293px;height: 83px\" 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\" data-image-state=\"image-loaded\" width=\"293\" height=\"83\"\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: 233.5px 8px; transform-origin: 233.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInteger rectangles that are not squarable are called \"non-squarable\". The \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEUAAAAkCAYAAADfJffWAAAB5ElEQVRoge2YXbGDMBCFjwccYKAGUICCOsABDrBQDZUQD1ioBizQh2SHBQKX3SRt78x+M3npNJvNYf8AMAzDMIxf5QagAVB/2xEhFbzfsdUCGDQGHwAmADNbr2D0P9Bj7ft2ie5RARjhBRmC8WeKwS9QYf9A+XJSgw4+SqrN7zd2kNjoh+nho3p7BxUNfFQc8YAXZcpxWEEoyrPQ4rygUp6OQrsUZa1w3z3skxT5O7yPXTi3OBQpnXLfjOvC0OVmyJ76C+v6MYXziwhExctBl6sSYbSC8H2xFauVaqgjPRONXhFGKwhRw9fGDvuuSU0iSZgKS15zoymD3JkwqYLEqLEXp9cao07ksFdbWvy2xIQpIQiH25+QKY22EXPWuq/AhRlQVhCCn5NtAK2xCJNDbS5MaUEA7z+dJe2gp3C1U9tch7Uo0jlGw4gCojTIIwrPcT5blBaGauQ9p1ESJWXUjxVVzYCngSIl66cQupA2/8+6TGlhqKZIX1P+xMGHuyZ1rrTdFGHog9gRZFvUeaiIHn1MIqOapyiZQzTC8KIde2h0vnhw27ZIF4z0WMb8UhFy5ssVYXgD4O86PZboVqVkBa+4Y2sIv+WYYKV1SLqvDv/l/vfI3GlyonXsZy9kGIZhGIbxSd6E5u1h97/IRwAAAABJRU5ErkJggg==\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" 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: 118.5px 8px; transform-origin: 118.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e rectangle, shown in the first example above, is a non-squarable rectangle. The complete set of non-squarable rectangles with area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 32.5px; height: 18px;\" width=\"32.5\" 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: 65px 8px; transform-origin: 65px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e square units are as follows:\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=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 774px; height: 18.5px;\" width=\"774\" height=\"18.5\"\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: 380px 8px; transform-origin: 380px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eCreate a program that calculates the total area of all non-squarable integer rectangles whose areas are less than or equal to a given area 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);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; 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: 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: 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,iVBORw0KGgoAAAANSUhEUgAAAF8AAAAkCAYAAADvqeb3AAACcElEQVRoge2ZXbGEMAyFjwccYAADKEDBOrgOcIAFNKwEPKwFNKyFex/KGUIpLT/thc7km+nLLt2GJD1Ju4CiKIqiKIoSpgZQ3G1EBEqYdzn7PpxbxjTKxwvA77RorjQARpj3kGNA2JElgB7AF0A7jXGaWyWyF4DJDhr9SrlQQjqsnS7HF9sBqKbvRywdLf3SJLEaJso0sku1SEJqGNt7zA4uYBJJ7oSPY6508I/nt3+RQJJLLDPEZeDT+cA43kUBk9V8P1tCmHi+ncHgvC9bajFgmR0j8iq6FcI2S0mys5uB8SVdjwTZzy1lZ39Ozm/glguJlA75bCM+39o5mObwuWg1ccSs8R+xQLLichPS+bKbk7XOF0A53xek3bQwW45Z/t5pSIgKc598ZcSEbbQtT3vfWTr/ck1kEZILxup4Biwl7Mz4XljfBTW79di61/mXbeuxjqDUvyvR7WBe6sqI2VUw0VxFWTo/dJCK4nxG0db1SiyQW8fjgzvaJWXS+T6pKxDJ+QNMZrt0NteOZwsm1FaH8q+yw8Kztd3lYST3jocnV1/9OtPtnJJEap/PmBgdzxO6nQJmd4caBybjEeefakYYZZ+cxOh47u529joeWB4ufRkt/XJYEbjIkUw42/Hc3e3scbx0IJNl9Dz/Fs8croWcHJoot1eOHU8P40wfLyxPqVunXyI7ncNSLK9bQ8h2k3c+ucCDVIf5zxB78Bnbybx4c+04Sk4oqCv4J8Fe58uDlutE+FTkrWNobMmpDB53PC/UBhxUgRprLW3hzuZ6+s6lv1tznkKDY/XEdytZY1mzOuTfciuKoiiKoiiKouTFHy4RXQsKtJwuAAAAAElFTkSuQmCC\" 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: 89.5px 8px; transform-origin: 89.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the program should output:\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: 16px 8px; transform-origin: 16px 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: 668px; height: 18px;\" width=\"668\" height=\"18\"\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: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNOTE:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 247.5px 8px; transform-origin: 247.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Reflections and rotations are not significant and should be counted only once.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function TA = nonSquarables(A)\r\n    TA = 8 * A + 8;\r\nend","test_suite":"%%\r\nA = 20;\r\nTA_correct = 168;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 200;\r\nTA_correct = 24732;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 2000;\r\nTA_correct = 3128803;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 20000;\r\nTA_correct = 382868578;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 200000;\r\nTA_correct = 44889840284;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 2000000;\r\nTA_correct = 5150630032283;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nAs = 1000000:100000:5000000;\r\nTAs = arrayfun(@(A) nonSquarables(A),As);\r\nss = floor([TAs(1) TAs(end) sum(TAs) median(TAs) std(TAs)]);\r\nss_correct = [1237846589396 33831082399137 567489801806465 11849294784960 9910963238214];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('nonSquarables.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":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-11-23T12:36:30.000Z","updated_at":"2026-03-19T11:13:38.000Z","published_at":"2021-11-23T18:56:00.000Z","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\u003eAny integer-sided rectangle can be cut into unit rectangles (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\\\\times1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) and rearranged into sets of smaller rectangles. For example 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\u003e3\\\\times5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e rectangle can be broken 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=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"75\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"246\\\"/\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 call an integer rectangle as \\\"squarable\\\" if it can be can be broken (i.e. cut into unit rectangles and rearranged) into any number of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enon-unit squares of equal sizes\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. For example 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\u003e4\\\\times6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e rectangle can be broken into six \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\\\\times2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e squares. Therefore, 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\u003e4\\\\times6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e rectangle is squarable.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\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=\\\"83\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"293\\\"/\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=\\\"rId2\\\"/\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\u003eInteger rectangles that are not squarable are called \\\"non-squarable\\\". 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\u003e3\\\\times5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e rectangle, shown in the first example above, is a non-squarable rectangle. The complete set of non-squarable rectangles with area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\\\\le20\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e square units 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: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\\\\times1,\\\\ 1\\\\times2,\\\\ 1\\\\times3,\\\\ 1\\\\times5,\\\\ 1\\\\times6,\\\\ 1\\\\times7,\\\\ 1\\\\times10,\\\\ 1\\\\times11,\\\\ 1\\\\times13,\\\\ 1\\\\times14,\\\\ 1\\\\times15,\\\\ 1\\\\times17,\\\\ 1\\\\times19,\\\\ 2\\\\times3,\\\\ 2\\\\times5,\\\\ 2\\\\times7,\\\\ 3\\\\times5\\\\}\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\u003eCreate a program that calculates the total area of all non-squarable integer rectangles whose areas are less than or equal to a given area 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\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\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: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\u003eA=20\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the program should output:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\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\u003eTotal\\\\ Area = 1+2+3+5+6+7+10+11+13+14+15+17+19+6+10+14+15=168\\\\ sq.\\\\ units.\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\u003eNOTE:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Reflections and rotations are not significant and should be counted only 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Sequences 53: Greatest Proper Divisor","description":"The greatest proper divisor () of an integer  is the largest integer , such that  and . Furthermore, we define: . \r\nBelow is the set of 's of numbers from  to :\r\n                                .\r\nGiven an integer , create a function that outputs the sum of 's of all integers from  to , inclusive. For , your function should return, .\r\nTIP: Good algorithms for finding GPD's for numbers  to , can be found in Rosetta Code.","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: 183px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe greatest proper divisor (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"34\" height=\"18\" style=\"width: 34px; 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) of 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);\"\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; \"\u003e\u003cspan style=\"\"\u003e is the largest 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);\"\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=\"\"\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=\"37\" height=\"19\" style=\"width: 37px; 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=\"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. Furthermore, we define: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"79\" height=\"19\" style=\"width: 79px; 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=\"\"\u003eBelow is the set of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"34\" height=\"18\" style=\"width: 34px; 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's of numbers from \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);\"\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; \"\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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\" 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: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                                \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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\" width=\"486\" height=\"19\" style=\"width: 486px; 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 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, create a function that outputs the sum of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"34\" height=\"18\" style=\"width: 34px; 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's of all integers from \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);\"\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e to \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, inclusive\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e For \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, your 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=\"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.\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; \"\u003eTIP\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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: Good algorithms for finding GPD's for numbers \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);\"\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; \"\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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\" 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, can be found in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://rosettacode.org/wiki/Largest_proper_divisor_of_n\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eRosetta Code\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"the function s = sumGPDs(n)\r\n    y = x;\r\nend","test_suite":"%%\r\nn = 25;\r\ns_correct = 107;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nn = 100;\r\ns_correct = 1691;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nn = 10000;\r\ns_correct = 16507016;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nn = 10000000;\r\ns = arrayfun(@(i) sumGPDs(i),1000000:100000:n);\r\nss = floor([mean(s) median(s) mode(s) std(s)]);\r\nss_correct = [6131600733080 4992760161090 165051503014 4903597092814];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 87654321;\r\ns_correct = 1268119158203109;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nn = 100000000;\r\ns = arrayfun(@(i) sumGPDs(i),10000000:10000000:n);\r\nss = floor([mean(s) median(s) mode(s) std(s)]);\r\nss_correct = [635439507299878 503400239949103 16504975497498 564032070925422];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 123456789;\r\ns_correct = 2515609811020846;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nfiletext = fileread('sumGPDs.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":3,"comments_count":1,"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":"2021-11-25T04:32:21.000Z","updated_at":"2026-03-19T13:00:12.000Z","published_at":"2021-11-26T07:30:59.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe greatest proper divisor (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eGPD\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) of an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the largest 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\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\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\u003ey\\\\ |\\\\ 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\u003ey \u0026lt;x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Furthermore, we define: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eGPD(1)= 1\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\u003eBelow is the set 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\u003eGPD\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e's of numbers from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\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\u003e25\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{1,\\\\ 1,\\\\ 1,\\\\ 2,\\\\ 1,\\\\ 3,\\\\ 1,\\\\ 4,\\\\ 3,\\\\ 5,\\\\ 1,\\\\ 6,\\\\ 1,\\\\ 7,\\\\ 5,\\\\ 8,\\\\ 1,\\\\ 9,\\\\ 1,\\\\ 10,\\\\ 7,\\\\ 11,\\\\ 1,\\\\ 12,\\\\ 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, create a function that outputs the sum 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\u003eGPD\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's of all 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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, inclusive\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e 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=25\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, your 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\u003e107\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\u003eTIP\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: Good algorithms for finding GPD's for 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\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\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, can be found in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://rosettacode.org/wiki/Largest_proper_divisor_of_n\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eRosetta Code\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":53130,"title":"Easy Sequences 55: \"Ugly\" Rectangles?","description":"A positive integer  is called a regular number, if and only if there exist a non-negative integer , such that .  For some reason, such a number is also refered to as an ugly number. Below are the first few regular numbers:\r\n                            \r\nWe say that an integer-sided rectangle is a \"regular\" rectangle if its area is a regular number. In the figure below, the red-colored rectanges are regular, while the blue ones are not.\r\n                                                                    \r\nAll  regular rectangles whose areas are less than equal to  are listed below:\r\n                                    \r\nAnd their total area is:\r\n                                \r\nFor a given area limit , find the total area of all regular rectangles with areas less than equal .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 541.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 468.5px 270.75px; transform-origin: 468.5px 270.75px; 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21px; text-align: left; transform-origin: 444.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA positive integer\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Regular_number\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is called a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Regular_number\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003eregular number, \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eif and only if there exist a non-negative integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\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; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\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=\"50.5\" height=\"20\" style=\"width: 50.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.  For some reason, such a number is also refered to as an \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003eugly number\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Below are the first few regular numbers:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; 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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\" width=\"515\" height=\"18\" style=\"width: 515px; height: 18px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21px; text-align: left; transform-origin: 444.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe say that an integer-sided rectangle is a \"regular\" rectangle if its area is a regular number. In the figure below, the red-colored rectanges are regular, while the blue ones are not.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 195.5px; 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 97.75px; text-align: left; transform-origin: 444.5px 97.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                                    \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"221\" height=\"190\" style=\"vertical-align: baseline;width: 221px;height: 190px\" 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width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e regular rectangles whose areas are less than equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAEg0lEQVR4AeyWW2hUVxSGZyaTW2nTltq0zaSZJAQieRDatCBI2qlaLLR9ENoiLWmxkBKwLRRKKVJKhb5YaKGloOJdxCt4JT5E0HhHBUEfIhlnJpMLaqISMYQ4IZP4rcPex71nzmSMKPgww/rP+tda+7L22vvsOQHfM/YrJJRvQwoVKlQoXwXyxWc8Q3V1dWHweX19/SqwGv4ZCOcbVMX94XD4A/r9Sp//QFtNTU29iuVUnglFIpFgbW3tL/RKgj3T09O/A7H3YieZZA26CHhKKBR6hQTOBwKBY/T7iUYvg7+Liori+I83NDRUYHuKZ0J9fX3/+P3+1Z49cDJJO0ltb25uLsa0BP+LpaWlnTjfBR1UKdTb29taXl4+h37H8EXS6fSRxsbGF+BZkpUQK3iPVj+AKyTVwqrKSkpKKhgsgn0JvyPYy0ZGRt53DOOBfy94W7lWdHV1TQrv7u6emJqaahMOFqRSqbXoLMlKiBY/g8Hi4uJFiUTidCwWS/X09Iwmk8kTDLiAWBQ4gr3QIerBYuZBPwQiG6lMnxCN/v7+BMluEpvFfcnWVQs3YSVUVVX1HMFPmejHaDR6G24JSd3H8RtwhEEXO+Th4+uH1HfS4CY9pY3JyclvNdfaSoiqyBvUwRk6pBt46CuGL625vAjw74AjHOizDsl44D+jXSxoheZaWwmRyFXK/AlBdyK4JZQ8ZTiuac52VMHdgxrnh50lHIOY4azkKpA30HVZCbneGQirelOH4Qc0Z5vf0Bw9CqaBl4hf4k6MXQk5RD0eJ6GPVd9hyt+huKjX5aFwS+lcyo1zBVgHe1YJVVdXl7Nly9UsbfIGKi7qNXko3FHaU1HZuzoAn6O56FklFAwG5baupONWzpp18Bl4HL8j8Jy3uNPA5ytT2scCg5qLfuSE5I5hoj/odIZB2tGW4HO3Af6SFcwwiJsJDZnhR0qI618OrJyXKDf3UnUfmePISocNx6sG96JmfHYJNTU1Pc/hPSijohdzbtxKiM/ADYPL659rseKXuNOct/OmQ9RDgopmK/7xy8bHx/cRmct2LeRqGYB7CnfYDdq4/3XcL3O9GlLtRsMfHRgYuG7YvpwJyc1LRXbQeD5o4UJzL0FsV0h6GZO8JQ7Oxi7RArZW/veEWiDpFu2Ab9Zc61wJBVjxBiZYSlIf8UZd1h1MTTLzGXQnl9s98dN2v2gBfuuPV3wC/ItEC7iDdos24ZWQnzfqXxp9A4ZJqpVvnDUmiK8DFxj8HG2Ocq7iaB9bGsP3l3D6uZUTW8AY76C/ACL/s+heISayEmKiP2nwPRCpZOD2TBCQP1H5AIP61stDg61dSVJOpajYFrazTmKcKfl83Spc4vjlS1JMC1ZCrEAmWWm1mNkYJdnDGU3SY2NjrUy6Bf88kkqwyDhnKk7bJvFPTEx81aU+3GhjiZUQq7vIefFnYCa7wutOGhoaGmOs5XzvyB/nEmZcBZaILf7BwUH3VsdviZWQFXkChrzSLK4TbAOdYucb9qkmlG9yr3ghIa+qmL5ChcxqePFnrkIPAAAA//9/CybUAAAABklEQVQDAC86v1hhIt/xAAAAAElFTkSuQmCC\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are listed below:\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 31.5px; text-align: left; transform-origin: 444.5px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-26px\"\u003e\u003cimg 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\" width=\"483.5\" height=\"63\" style=\"width: 483.5px; height: 63px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAnd their total area is:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21.5px; text-align: left; transform-origin: 444.5px 21.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                \u003c/span\u003e\u003c/span\u003e\u003cspan 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\" width=\"481.5\" height=\"43\" style=\"width: 481.5px; height: 43px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFor a given area limit \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, find the total area of all regular rectangles with areas less than equal \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function t = totArea(a)\r\n    y = x;\r\nend","test_suite":"%%\r\na = 20;\r\nt_correct = 313;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 100;\r\nt_correct = 5342;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 3333;\r\nt_correct = 1209694;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 12345;\r\nt_correct = 8203409;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 678910;\r\nt_correct = 1895042544;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 11111111;\r\nt_correct = 69378626554;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 2222222222;\r\nt_correct = 48508480933342;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 10000000000;\r\nt_correct = 296509087777177;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\nas = 10000000000:10000000000:50000000000;\r\nts = arrayfun(@(a) totArea(a),as);\r\nss = uint64([sum(ts) sum(diff(ts)) sum(num2str(ts)) floor(std(ts))]);\r\nss_correct = [5634726420754063 1718058577960775 4402 681192254343774];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('totArea.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":413679,"edited_at":"2026-03-27T19:39:02.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2021-12-11T17:08:46.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-12-10T09:50:52.000Z","updated_at":"2026-03-30T13:08:49.000Z","published_at":"2021-12-10T19:06:50.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA positive integer\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Regular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e \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\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is called a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Regular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eregular number, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003eif and only if there exist a non-negative 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: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\\\\ |\\\\ 60^k\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.  For some reason, such a number is also refered to as an \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eugly number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Below are the first few regular numbers:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60...\\\\}\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\u003eWe say that an integer-sided rectangle is a \\\"regular\\\" rectangle if its area is a regular number. In the figure below, the red-colored rectanges are regular, while the blue ones are not.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\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=\\\"190\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"221\\\"/\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\u003eAll \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e28\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e regular rectangles whose areas are less than 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\u003e20\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are listed 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=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{ \\\\  1\\\\times 1,\\\\  1\\\\times 2,\\\\  1\\\\times 3,\\\\  1\\\\times 4,\\\\  2\\\\times 2,\\\\  1\\\\times 5,\\\\  1\\\\times 6,\\\\  2\\\\times 3,\\\\  1\\\\times 8,\\\\  2\\\\times 4,\\\\  1\\\\times 9,\\\\\\\\\\n\\\\ \\\\ 3\\\\times 3,\\\\  1\\\\times 10,\\\\  2\\\\times 5,\\\\  1\\\\times 12,\\\\  2\\\\times 6,\\\\  3\\\\times 4,\\\\  1\\\\times 15,\\\\  3\\\\times 5,\\\\  1\\\\times 16,\\\\  2\\\\times 8,\\\\  \\\\\\\\\\n\\\\ \\\\ 4\\\\times 4,\\\\  1\\\\times 18,\\\\  2\\\\times 9,\\\\  3\\\\times 6,\\\\  1\\\\times 20,\\\\  2\\\\times 10,\\\\  4\\\\times 5\\\\  \\\\} \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\u003eAnd their total area is:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_{T} = 1+2+3+4+4+5+6+6+8+8+9+9+10+10+12+12+12\\\\\\\\\\n\\\\ \\\\ \\\\ \\\\ +15+15+16+16+16+18+18+18+20+20+20 = 313\\\\ \\\\text{sq units}\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\u003eFor a given area 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\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, find the total area of all regular rectangles with areas less than equal \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\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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Sequences 58: Curious Prime-Rational Functions","description":"For some prime numbers  and  where , a rational function , is defined as follows: .   Using the output , another rational function , is defined: .   Finaly, using the output , we define the function : ;  where the symbol \"\", represents the integer part of the decimal expansion of the fraction  .\r\nFor example for  and : ; ; since , .\r\nAnd, for  and : ; ; since, .\r\nIf , and given an integer limit , write a function that returns a sorted array of all unique values of  that are less than or equal to .\r\n-----------\r\nHINT:     Both  and , are rational functions and expect exact rational fraction outputs. Therefore, please preserve numerators and denominators for  and , and evaluate decimal expansions only when calculating the output of the function . ","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: 357.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 178.75px; transform-origin: 407px 178.75px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 130.5px; 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 65.25px; text-align: left; transform-origin: 384px 65.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 81px 8px; transform-origin: 81px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor some prime numbers \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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eq\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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=\"\"\u003e 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: 38px; height: 18px;\" width=\"38\" 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: 62.5px 8px; transform-origin: 62.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, a rational 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);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 71px 8px; transform-origin: 71px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, is defined as follows: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 165px; height: 35px;\" width=\"165\" height=\"35\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8px 8px; transform-origin: 8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.   Using the output \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 72.5px; height: 18.5px;\" width=\"72.5\" 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: 83px 8px; transform-origin: 83px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, another rational 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);\"\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; perspective-origin: 38.5px 8px; transform-origin: 38.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, is defined: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 94.5px; height: 35px;\" width=\"94.5\" height=\"35\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.5px 8px; transform-origin: 83.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.   Finaly, using the output \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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, we define the 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);\"\u003eN\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-14px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 129px; height: 39.5px;\" width=\"129\" height=\"39.5\"\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: 65.5px 8px; transform-origin: 65.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;  where the symbol \"\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAlCAYAAADSvLDKAAAAh0lEQVRYhe3YwQmDQBgF4enBDtKADViBFaQDO7CmlGAx9hIPelqSwMNfhDADy96eH3sUzC5pBB43fLOrGFqAuWIoaAWGiqE78G/Ei48TD+LjxIP4OPEgPk48iI8TD+LjxIP4OPEgPk48/AF+Pe72PE9uv77sluFH9pf/dPqT29OP7ZK/xGZNG+TqVZ2JawLPAAAAAElFTkSuQmCC\" style=\"width: 23.5px; height: 18.5px;\" width=\"23.5\" 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: 139px 8px; transform-origin: 139px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\", represents the integer part of the decimal expansion of the fraction \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);\"\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; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e .\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 28px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-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 14px; text-align: left; transform-origin: 384px 14px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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: 38px; height: 18px;\" width=\"38\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-10px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMcAAAA4CAYAAABJwewKAAAFtklEQVR4nO2dW7HqMBiFlwcc1AAGUIACHNQBDrCABiTwfh6xgAYs7PMQ1vQnJG3Se8r6ZjJ7KKWX9L8n6QaEEEIIIYQQQgghhBBCCCFmYQ/gBuAF4A/AE8AxsF8F4ArgAuAM4PH+K8Qm2cMpQw3gACf4f+9mBX8HpzxHb9sTTmGE2Bw3fHuJGk45XoFtO2/fc2S7EMVzx7dg79B4D35HJdh7+17glEjKIX4G5h4U+kNgG0MthVXiZ6jgFOHmbb+iCbdqNAm5vIb4GU5wCuCHUECjIL4XERNRo9xOrpe+gAl4Ilyi3cHlKLbsG8pDxEhc4SxVqRwRTmpL5Qz3TEL3c4cLpXZoFIVh1lbuP5sdXELW1arM416RZnnt+XPPkUuF+P3VCCvyCY3QlEyboh/hFME+rx3cffvbf4odGgH489oDjQXh5xO6BeX8/l0be+/YNtY99LiPFELnY2uzkLS4pcK+jhkflnL9MREqzWW6SysDlvPYbEdV+FSemGu2x2nzAuz0thaa4jAE//781jZVgqPFY1/THHCUPPQ8+BxPCHuIQ2T7z+ELj0+FNOG9o93Ksn5+x6eHoNu35xgzlGGy2RdWeUoKryo0fX322h2NR2AI9fB+f3tvmzrcXT123k0sJLLeI+RqU7zGBe0xvFWQsSzWHsO9EZW6FCtqc4ZY23v7X9GMb1zf7ecVA/jsyJgAWMENeQdamjZiNXZiQ64hlt7C+v3QpP8KF6KIH8LOt2mrbdv6t69APEZb8sZp0V2MqRx+OMik/4x8RWFsrtp/Ar4l2mO6SsuUWGv9iuxTe/v4YRGPMUbSmpIkp2JHfUMtJ0xieFZKaDUrNVxo8cRn0mgHTXIfasoYQ1cbasmsAIUs+wmfAhU6H8uBQ42DtfRjWWgaLS7i8RUkp1QZ66MuUseTxh5vmh12MBPLBz4VJrezh7ah4Yd/7XwQvjA9EBfYG8JVrlyoiF3jJEM44FtJUpW677V1lZJT2+q9Fjv2AicUVAZ+ztHu+whtSPjhx+Qs6dkQqk64J3rOofA4c8T11mOmCjwjh1w4EDe0rXqsxSavLEuWjM0lKCC+wqQo+xjKQes659plGoLUMYyxjMAmscnrE+VXLhgO+UIZ2x5jqNAstWbZ5lMpz7IU5fiHccK4rLDTuuKx6vBLYsuztgOs0KRMvBsqNDcsMwPWRgIpyhEaSV4jiyiHTV7H8BpLVqtYmmTziSlOCBqNPlyx7NTwnPCxb0K++WqVFaaxvMYYWt33Wlh+jT3wrhJv6Fi5pdylFYOeIzXJZq6Zy+arVTZ5HatqsGS1qmsekzUGXcsm+fBzFjdd0K0Yh47vh8LwMUXg+9wj2Xy1yq6OKp3UKSM2jOwSihfSreoJ8anUZI/v+P4EZwxShaQr7HwmXAehcVxtaLMUVphKXvhC/DUVMetsvWVX+JY6MY/W+obvqdRsfGfSOfC71BDDVtxC409XfL/prw1a719ijwRjYIVpta4tkdB05lgHpK7jAJqwoy3v8AW8rb2866q977sU0eZUPB7fBfuEE/TUYgb7oU9ItQYY1rV59tCz6QqnATTzqkq3HCc0ZVPbaMVDXLx923KcO+KetQqct635D5JrDjhKneKlDuY39j5zCwecSlMaFdy1s/LYphzsc+vBSzUGq4Srz6aenTznuu657mkKKjijQi8aU44D9K6qWThh2jd2cDR9rtkJQ+evrYEu5biheSN76bM+Vs9Ulp350lx5X+lvHiFtyhFaEKa14xNzwviC1Sdf6MsU178UKWHVEd+LwxRmTcjUg3hTUnpV0tKlHBb7KqYtzB8UopUc5QCaIkTf+XJCFEOucgBNiFWq5xciiT7KoX97Jn6CPsqxhZWuQnTSRzk47iHEpuHrXkPKEZpawteBKqQSm6WCs/5UgBfc+I0d4ONETH7PfzokxRBCCCGEEEIIIYQQQogy+Q/yjAomtnSc3QAAAABJRU5ErkJggg==\" style=\"width: 99.5px; height: 28px;\" width=\"99.5\" 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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e; \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-10px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 95.5px; height: 28px;\" width=\"95.5\" 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: 22.5px 8px; transform-origin: 22.5px 8px; unicode-bidi: normal; \"\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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\" style=\"width: 49px; height: 18.5px;\" width=\"49\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 81px; height: 18.5px;\" width=\"81\" 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: 28px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-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 14px; text-align: left; transform-origin: 384px 14px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 27px 8px; transform-origin: 27px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAnd, 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: 38px; height: 18px;\" width=\"38\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-10px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 99.5px; height: 28px;\" width=\"99.5\" 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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e; \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-10px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAL8AAAA4CAYAAACsXylmAAAGGklEQVR4nO2d3bHqOgyFVw/pgAZ4OK+pgPczkw7ogA5ogRqYUwE9cEugBlrgPjhrohjZSWx+7KBvxjObxLCNLcuSrBjAMAzDMAzDMAzDMAzDMIzXsvt2AwzjE9wAPLyy9+rsAFzF/TOA5oNt/AYHAHeEv+cWrh+OAC4ATpG66O/txXtMwXyZFk6oD17ZiDo7uAnS9fXPcBPg8tGWfo4Ow3d8QBfotr93ENfOcP2k1e/gJtIZbtIYBXDBs5bX6my8a1wt1qj9KZwx4b/heVXY9vWPXt2uvz61MhgfhIN1gtPu2sA00DXVBWEttxZCwr/rr18j7yHs4xueFYjxRU6YtvU1Gjit172vaUUQEv4DdA0POKXwwGDP8/WcfjU+yAbOdt1j7PRqg0oauElzenvrvk9I+CnQMeGn3yQDBOzjO2wyFMcew2Bppo4/SdY+AXKEn9EcCjtXgg2GqFlMyRgvZo9pG/2I5yiGpMGw7D/gVg7SYl2RjFzhZz+dvTpyRTA+wAnzbHQOzJRW4iohJ0kDN9Br8QVCws8w6Fzh1+pR+7fKvSgtXAefUt5cEA1c+2OFHb+N1JmKIpywzMacuyRr9Rq4gV3DBMh1eLuZ9WZxEG+KxWBrgcKvRV2OGE/sLYbOZLkhHKIk7LMlbZo7KA/oQt70bavdBArJGDe4tH6V79lE6lGOF/cRnS4tzlorUqhD9vZW1JnjbHKQlsSXO8yL37dwjlzos/eof3ymNrl8m53jI238q1IPcH2XtE8yJSS1IR2gkLBu4TospG01mG+iQZtdauht/9pfce4Y707StJkypW6od4y4Ai5Nb/AVAutJ04dRoMWmIT8syVkoFBli1LQltewSU2JK6zMpS8ahT8rnbzA2NU9wAzmnHUwMq40dnvtGk7UWg4Jh0fqb+VBMaOOO+mJkmG0tyI72nSNOjAuWLZFnfN/s4Iq2Bue3CKiF1pRRSHNGOpoNxruFS+CSXcImyg3PcW4jAWmH1WpL+kgz7iGucUKkmHa0KUvIF6cdbGTCQZUhohbDrmTMPtOYE2efU3Ky9aQZdxGvczIm+Rkl+ERsS0ofxfY2lpRVQCH3NQm159Iv6mvd1JKTpCSdSWn+5Ewo+hAlkDMR/T2dlLKaVYcxU2lDbvvrKVpyC9fBuSXVvJBmnC/8OXYyhaYEqGBSnF4+HphTVuFvyFg4NS13R2vd5ZVm3B3jTayk3b+eEoV/LT7aV5Bb+1u4CVB7xMf3VYBxqsPS8CaZEv4/mDYXlpT/Iv+rFuH/i9f2ydzyb07jKBQ38XftS5rMjedqtoEe+lxCScJfUuQpRtHCLwVC/p2TPPXNaI+f0iC/h4wApfgzVA4lkOPwWrQHY1v4gLGtnLOR881ojzTjbt49PiOb+vklhjpzzLecUn20R+a+UMvSZIgdKjTFN6M9MqVBSz6TkyOWPamRE2F5NTzlIQWL9mAQFNmJckJIzVhL9Edq9pCQSp9g6Qp3T3jPO2BGqJGIJgDSNKBm3KOOjvZDmiGt7mv/Jf7NCeka91Wkbj4aPdIu980LafvfUM8hStLkiTntO6+ednJaiLmCd8D4DM7Qyskj/A59nUuk3aSECfhO3n5+aYfBfgs1gDnVpQs+N+U0u/Tg1Tso9bS6MWIPs6C/d8bwvCkH0vej2BZ5jWZnaDJyZS49xJnKr51fWh3cM9C0P519KdB89tb3o0L+Q8wXobO6VrRVmH1XuhL+GajRtRMINK3MXWcp1FzSJcxL0lYhpmSvVQh++fzS6qCdPreur/kvyjU+ougLwVpObljKr5xfWiUd5k0A7g5L4ZUPz9PnuOLZnOLTZ78o+L9yfmm1tJhekpk75SMnQGjXec7nr41fO790tfDMHi2Cw3v+qQZG/PxSowJoq4eO6JA70R2GVaD0VOVPop1falTAFeGY/BXPUQzuPlefOPZicpMtjQ8zdZAtU6t9uCn2a3Z+jFISCo0Z8AQ2nxbDhLhB1/AW1x7D/Q377a0KOGLYvZU/Q3rE2PGliSPNIibn/eLP6+ScX2oUgMwY1YofyWEOFc+bXNOPUCwl5/xSwzAMwzAMwzAMwzAMwzCMtfM/2EZggSA625gAAAAASUVORK5CYII=\" style=\"width: 95.5px; height: 28px;\" width=\"95.5\" 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: 20.5px 8px; transform-origin: 20.5px 8px; unicode-bidi: normal; \"\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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\" style=\"width: 49px; height: 18.5px;\" width=\"49\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 73.5px; height: 18.5px;\" width=\"73.5\" 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: 6.5px 8px; transform-origin: 6.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 60px; height: 18.5px;\" width=\"60\" 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: 95.5px 8px; transform-origin: 95.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, and given an integer limit \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 173.5px 8px; transform-origin: 173.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, write a function that returns a sorted array 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: 24.5px 8px; transform-origin: 24.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eunique\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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=\"font-weight: 700; \"\u003e values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e that 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);\"\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: 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: 27.5px 8px; transform-origin: 27.5px 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: 27px 8px; transform-origin: 27px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHINT:     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16.5px 8px; transform-origin: 16.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBoth \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);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; 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; perspective-origin: 109px 8px; transform-origin: 109px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, are rational functions and expect \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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=\"text-decoration: underline; text-decoration-line: underline; \"\u003eexact\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 169px 8px; transform-origin: 169px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e rational fraction outputs. Therefore, please preserve numerators and denominators for \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);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; 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; perspective-origin: 233.5px 8px; transform-origin: 233.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and evaluate decimal expansions only when calculating the output of the 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);\"\u003eN\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function ns = arrayNs(x)\r\n    ns = 1:x;\r\nend","test_suite":"%%\r\nx = 1e2;\r\nns_correct = [0 19 28 78];\r\nassert(isequal(arrayNs(x),ns_correct))\r\n%%\r\nx = 1e3;\r\nns_correct = [0 19 28 78 166 622];\r\nassert(isequal(arrayNs(x),ns_correct))\r\n%%\r\nx = 1e4;\r\nns_correct = [0 19 28 78 166 622 1366 3718 7222];\r\nassert(isequal(arrayNs(x),ns_correct))\r\n%%\r\nx = 1e6;\r\nns = arrayNs(x);\r\nss = [length(ns) sum(ns) sum(num2str(ns))];\r\nss_correct = [27 4981111 9249];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nx = 1e8;\r\nns = arrayNs(x);\r\nss = [length(ns) sum(ns) sum(num2str(ns))];\r\nss_correct = [129 3617934043 59547];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nx = intmax;\r\nns = arrayNs(x);\r\nss = [length(ns) sum(ns) sum(num2str(ns))];\r\nss_correct = [394 241721655665 219718];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nx = 1e10;\r\nns = arrayNs(x);\r\nss = [length(ns) sum(ns) sum(num2str(ns))];\r\nss_correct = [708 1999864114957 404552];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nx = 1e12;\r\nns = arrayNs(x);\r\nss = [length(ns) sum(ns) sum(num2str(ns))];\r\nss_correct = [4568 1322484296840565 3099611];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nx = flintmax;\r\nns = arrayNs(x);\r\nss = [length(ns) sum(num2str(ns))];\r\nss_correct = [228372 203164785];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('arrayNs.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":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-12-21T18:52:30.000Z","updated_at":"2026-03-26T12:27:50.000Z","published_at":"2021-12-22T07:55:09.000Z","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 some 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\u003ep\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\u003eq\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep \u0026lt; q\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, a rational 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\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is defined as follows: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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(p,q)=\\\\frac{2pq+p+q+1}{pq+q} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.   Using the output \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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 = R(p,q)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, another rational 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\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is defined: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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(r)\\\\  =\\\\  \\\\frac{2r}{2-r} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.   Finaly, using the output \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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=K(r)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, we define 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\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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(k)=\\\\begin{cases}k\u0026amp;\\\\left\\\\lfloor k\\\\right\\\\rfloor  =k\\\\\\\\ 0\u0026amp;\\\\left\\\\lfloor k\\\\right\\\\rfloor  \\\\neq k\\\\end{cases} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e;  where 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\\\\left\\\\lfloor \\\\ \\\\right\\\\rfloor  \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e\\\", represents the integer part of the decimal expansion of the fraction \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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 .\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\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\u003ep=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\u003eq=5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er=R(2,5)= \\\\frac_{28}_{15}\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=K(\\\\frac_{28}_{15})=28\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\\\\left\\\\lfloor k\\\\right\\\\rfloor  = k\\\\end\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\\\\therefore N(k)=28\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 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\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\u003eq=7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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=R(3,7)= \\\\frac_{53}_{28}\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=K(\\\\frac_{53}_{28})= \\\\frac_{106}_{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\\\\left\\\\lfloor k\\\\right\\\\rfloor  \\\\neq k\\\\end\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\\\\therefore N(k)=0\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\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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=N(k)\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 given an integer limit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, write a function that returns a sorted array 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\u003eunique\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e that 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\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.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e-----------\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHINT:     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eBoth \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\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\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, are rational functions and expect \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eexact\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e rational fraction outputs. Therefore, please preserve numerators and denominators 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\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\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and evaluate decimal expansions only when calculating the output of 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\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\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":53094,"title":"Easy Sequences 51: Positive Gaussian Primes","description":"A Gaussian Prime is a gaussian integer that cannot be decomposed as product of two non-unit gaussian integers (the complex units being: , ,  and ). We say that a gaussian prime , is positive, if   and . \r\nWrite a function that counts the number of elements of set, ,of all positive gaussian primes , such that  and  are both .\r\nFor example, for , the complete set of positive gaussian primes are as follows:                         \r\n            \r\nTherefore, for  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: 226.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 113.25px; transform-origin: 407px 113.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 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/Gaussian_integer#Gaussian_primes\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eGaussian Prime\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: 316px 8px; transform-origin: 316px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is a gaussian integer that cannot be decomposed as product of two non-unit gaussian integers (the complex units being: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e1\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACoAAAAkCAYAAAD/yagrAAAAhUlEQVRYhe3XUQmAMBhF4ZPFAhYwgQlsYIM1sIsRDGMGK8wHBwoqCv5uE+8H99nDGMJARCS2MnXAlQYYgT51yJmaJdCHZRnaAW1Y1qFbCrWmUGsKtWYSWhksSqh/uClW6PBwdz7+rzsag0KtKdSSYw0dgSJtzl7DcoJHvzTHB95PIiLyshkwkls8t0LQOAAAAABJRU5ErkJggg==\" style=\"width: 21px; height: 18px;\" width=\"21\" 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=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ei\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 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,iVBORw0KGgoAAAANSUhEUgAAACMAAAAkCAYAAAAD3IPhAAAAxElEQVRYhe2WUQ3DIBBAn4c6wEANoGAKcICDOsBCNUxCxVQDFroPYHQLfGxdel1yL7mEpgl5Oe4OQFGU/8YAo7QEgAW2HE7YhYkqswi7MGSJlYsclXJJDKmLHBBINRMkZTypaEsn3aRkCgtVZhB2IfLFfLE/iHdGalamT2S2gxEbe/rd/5Zsl+Vg3Dt79kRPp2SlJXoq+5vaC7u83NRG2OVZL2v+tsAsJVOyEkgtHhEcemXYrXkt+o5xpKOapUUURVEuwwPb9lEUVsiTiwAAAABJRU5ErkJggg==\" style=\"width: 17.5px; height: 18px;\" width=\"17.5\" 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: 102px 8px; transform-origin: 102px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e). We say that a gaussian prime \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 40.5px; height: 18px;\" width=\"40.5\" 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: 44.5px 8px; transform-origin: 44.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, is positive, 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: 38px; height: 18px;\" width=\"38\" 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: 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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209px 8px; transform-origin: 209px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eWrite a function that counts the number of elements of set, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 31px; height: 20px;\" width=\"31\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\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: 109px 8px; transform-origin: 109px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eof all positive gaussian primes \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 40.5px; height: 18px;\" width=\"40.5\" 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: 23px 8px; transform-origin: 23px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, such that \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: 17px 8px; transform-origin: 17px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eq\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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=\"font-weight: 700; \"\u003e are both \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25px; height: 18px;\" width=\"25\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 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: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 240.5px 8px; transform-origin: 240.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the complete set of positive gaussian primes are as follows:                         \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63.5px; 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 31.75px; text-align: left; transform-origin: 384px 31.75px; 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: 24px 8px; transform-origin: 24px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-26px\"\u003e\u003cimg src=\"data:image/png;base64,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style=\"width: 610px; height: 63.5px;\" width=\"610\" height=\"63.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 46px 8px; transform-origin: 46px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTherefore, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 85px 8px; transform-origin: 85px 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: 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: 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 c = countSGPP(n)\r\n    c = n;\r\nend","test_suite":"%%\r\nn = 10;\r\nc_correct = 35;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nns = 20:1:50;\r\ncs = arrayfun(@(n) countSGPP(n),ns);\r\nss = floor([mean(cs) median(cs) mode(cs) std(cs)]);\r\nss_correct = [261 255 103 109];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 100;\r\nc_correct = 1536;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nns = 200:10:500;\r\ncs = arrayfun(@(n) countSGPP(n),ns);\r\nss = floor([mean(cs) median(cs) mode(cs) std(cs)]);\r\nss_correct = [15076 14363 5253 6783];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 1234;\r\nc_correct = 144547;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nn = 5678;\r\nc_correct = 2490874;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nns = 400:400:10000;\r\ncs = arrayfun(@(n) countSGPP(n),ns);\r\nss = floor([mean(cs) median(cs) mode(cs) std(cs)]);\r\nss_correct = [2655106 2112268 18293 2278026];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 12345;\r\nc_correct = 10756553;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nfiletext = fileread('countSGPP.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":3,"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":"2021-11-20T16:50:27.000Z","updated_at":"2026-03-19T11:03:41.000Z","published_at":"2021-11-23T10:00:33.000Z","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/Gaussian_integer#Gaussian_primes\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eGaussian Prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e is a gaussian integer that cannot be decomposed as product of two non-unit gaussian integers (the complex units being: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e-1\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\u003ei\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-i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e). We say that a gaussian prime \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep+qi\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is positive, 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\u0026gt;0\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\u003eq\\\\ge0\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\u003eWrite a function that counts the number of elements of set, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS_{GP+}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eof all positive gaussian 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\u003ep+qi\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\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 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\u003eq\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 are both \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\le n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\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, the complete set of positive gaussian primes 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\u003eS_{GP+} = \\\\{\\\\ 3,\\\\ 7,\\\\ 1+i,\\\\ 1+2i,\\\\ 1+4i,\\\\ 1+6i,\\\\ 1+10i,\\\\ 2+i,\\\\ 2+3i,\\\\ 2+5i,\\\\ 2+7i,\\\\ 3+2i,\\\\ 3+8i,\\\\\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ 3+10i\\\\ 4+i,\\\\ 4+5i,\\\\ 4+9i,\\\\ 5+2i,\\\\ 5+4i,\\\\ 5+6i,\\\\ 5+8i,\\\\ 6+i,\\\\ 6+5i,\\\\ 7+2i,\\\\ 7+8i,\\\\\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ 7+10i,\\\\ 8+3i,\\\\ 8+5i,\\\\ 8+7i,\\\\ 9+4i,\\\\ 9+10i,\\\\ 10+i,\\\\ 10+3i,\\\\ 10+7i, 10+9i\\\\ \\\\}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eTherefore, for \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en=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\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e35\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\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":53725,"title":"Easy Sequences 56: Counting \"Ugly\" Numbers","description":"A positive integer  is called a regular number, if and only if there exist a non-negative integer , such that .  For some reason, such a number is also refered to as an ugly number. Below are the first few regular numbers:\r\n                            \r\nIt turns out that regular numbers are not so regular after all. In fact, regular numbers are quite rare. There are only  regular numbers  and just  regular numbers .\r\nGiven an integer , and exponent , we are tasked to write a function that counts the number of regular numbers less than or equal to .","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: 174px; 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 positive integer\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Regular_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"font-family: STIXGeneral, STIXGeneral-webfont, serif; font-style: italic; font-weight: normal; 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; \"\u003e\u003cspan style=\"\"\u003e is called a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Regular_number\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eregular number, \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eif and only if there exist a non-negative 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=\"\"\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=\"49\" height=\"20\" style=\"width: 49px; 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.  For some reason, such a number is also refered to as an \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eugly number\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e. Below are the first few regular numbers:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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\" width=\"515.5\" height=\"19\" style=\"width: 515.5px; height: 19px;\"\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=\"\"\u003eIt turns out that regular numbers are not so regular after all. In fact, regular numbers are quite rare. There are only \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"39.5\" height=\"18\" style=\"width: 39.5px; 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 regular numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"42.5\" height=\"19\" style=\"width: 42.5px; 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 just \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"47\" height=\"18\" style=\"width: 47px; 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 regular numbers \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"40\" height=\"19\" style=\"width: 40px; 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 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,\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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 exponent \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);\"\u003ee\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e, we are tasked to write a function that counts the number of regular numbers less than or equal to \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\u003c/div\u003e\u003c/div\u003e","function_template":"function c = regCount(n,e)\r\n    c = n ^ e;\r\nend","test_suite":"%%\r\nn = 10; e = 5;\r\nc_correct = 313;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 10; e = 10;\r\nc_correct = 2053;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 2; e = 100;\r\nc_correct = 48694;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 7; e = 77;\r\nc_correct = 473183;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 10; e = 100;\r\nc_correct = 1697191;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\nn = 77; e = 77;\r\nc_correct = 5166439;\r\nassert(isequal(regCount(n,e),c_correct))\r\n%%\r\n%ns = 1:100; es = ns+10;\r\n%cs = arrayfun(@(i) regCount(ns(i),es(i)),1:100);\r\n%ss = floor([cs(25:25:end) sum(cs) std(cs) sum(num2str(cs))]);\r\n%ss_correct = [203379 1797050 6815143 17856016 421336320 5052973 44715];\r\n%assert(isequal(ss,ss_correct))\r\n%%\r\nns = 1:25; e = 100;\r\ncs = arrayfun(@(i) regCount(ns(i),e),1:25);\r\nss = floor([cs(5:10:end) sum(cs) std(cs) sum(num2str(cs))])\r\nss_correct = [585064 2751849 4607635 57125382 1487797 10278];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('regCount.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":3,"comments_count":27,"created_by":255988,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":7,"test_suite_updated_at":"2021-12-19T18:30:20.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-12-17T16:20:39.000Z","updated_at":"2026-03-19T15:29:37.000Z","published_at":"2021-12-17T17:33:29.000Z","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 positive integer\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Regular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e \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\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is called a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Regular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eregular number, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003eif and only if there exist a non-negative 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: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\u003ex\\\\ |\\\\ 60^k\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.  For some reason, such a number is also refered to as an \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eugly number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Below are the first few regular numbers:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60...\\\\}\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\u003eIt turns out that regular numbers are not so regular after all. In fact, regular numbers are quite rare. There are 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\u003e2,053\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e regular 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\\\\le10^{10}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and just \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e48,694\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e regular 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\\\\le2^{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 an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e and exponent \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ee\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, we are tasked to write a function that counts the number of regular numbers 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\u003en^e\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\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":53109,"title":"Easy Sequences 52: Non-squarable Rectangles ","description":"Any integer-sided rectangle can be cut into unit rectangles () and rearranged into sets of smaller rectangles. For example the  rectangle can be broken as follows:\r\n                                                      \r\nWe call an integer rectangle as \"squarable\" if it can be can be broken (i.e. cut into unit rectangles and rearranged) into any number of non-unit squares of equal sizes. For example the  rectangle can be broken into six  squares. Therefore, the  rectangle is squarable.\r\n                                                \r\nInteger rectangles that are not squarable are called \"non-squarable\". The  rectangle, shown in the first example above, is a non-squarable rectangle. The complete set of non-squarable rectangles with area  square units are as follows:\r\n\r\nCreate a program that calculates the total area of all non-squarable integer rectangles whose areas are less than or equal to a given area limit . \r\nFor , the program should output:\r\n        \r\nNOTE: Reflections and rotations are not significant and should be counted only once.","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: 544px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 272px; transform-origin: 407px 272px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 188.5px 8px; transform-origin: 188.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAny integer-sided rectangle can be cut into unit rectangles (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEUAAAAkCAYAAADfJffWAAABK0lEQVRoge2YUQ2DMBBAnwcc1AA+UFAHc1AHWEDDJMzDLEzDLGwfhaxkhNBysN5yL2n4uvZ4NL0rYBiGYRi144Dm10nsoJWczAED8JKe+CQ88ACuEpM1fGRMQ5OUjihjyn23lA4I4/OOPik9cBmHmJSUgD4pKdVKaYEncefl4Mc4V7guVCwlPZu2ivFJTF+4LlQsBfLESAmByqXANjGSQkCBFFgXIy0ElEiBZTFHCAFFUmAupucYIaBMCnx3zNJCQKGUtOPMKdc5qJKSniHpHUVajBopS4dqSYO3BRVS1qrMEWKql7Kl7EqLqVpKTh8iKUZcimN+CIbCeUoaMwkx6Qd9sO+2jSMmf1sYA7GU5jC9YG4fUhrniTtjKf9ARf+F/MlxhmEYhmEYf8Ub9AbIMJOfOosAAAAASUVORK5CYII=\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" 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: 167px 8px; transform-origin: 167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e) and rearranged into sets of smaller rectangles. For example the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" 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: 113.5px 8px; transform-origin: 113.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e rectangle can be broken as follows:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 80.5px; 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 40.25px; text-align: left; transform-origin: 384px 40.25px; 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: 108px 8px; transform-origin: 108px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                      \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 246px;height: 75px\" 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\" data-image-state=\"image-loaded\" width=\"246\" height=\"75\"\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: 375.5px 8px; transform-origin: 375.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe call an integer rectangle as \"squarable\" if it can be can be broken (i.e. cut into unit rectangles and rearranged) into any number of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 98.5px 8px; transform-origin: 98.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"text-decoration: underline; text-decoration-line: underline; \"\u003enon-unit squares of equal sizes\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 57px 8px; transform-origin: 57px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. For example the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" 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: 104.5px 8px; transform-origin: 104.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e rectangle can be broken into six \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" 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: 31.5px 8px; transform-origin: 31.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e squares. Therefore, the \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" 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: 74px 8px; transform-origin: 74px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e rectangle is squarable.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 88.5px; 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 44.25px; text-align: left; transform-origin: 384px 44.25px; 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: 96px 8px; transform-origin: 96px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 293px;height: 83px\" 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\" data-image-state=\"image-loaded\" width=\"293\" height=\"83\"\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: 233.5px 8px; transform-origin: 233.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eInteger rectangles that are not squarable are called \"non-squarable\". The \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 34.5px; height: 18px;\" width=\"34.5\" 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: 118.5px 8px; transform-origin: 118.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e rectangle, shown in the first example above, is a non-squarable rectangle. The complete set of non-squarable rectangles with area \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 32.5px; height: 18px;\" width=\"32.5\" 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: 65px 8px; transform-origin: 65px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e square units are as follows:\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=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 774px; height: 18.5px;\" width=\"774\" height=\"18.5\"\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: 380px 8px; transform-origin: 380px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eCreate a program that calculates the total area of all non-squarable integer rectangles whose areas are less than or equal to a given area 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);\"\u003eA\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; 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: 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: 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-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 89.5px 8px; transform-origin: 89.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the program should output:\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: 16px 8px; transform-origin: 16px 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: 668px; height: 18px;\" width=\"668\" height=\"18\"\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: 21px 8px; transform-origin: 21px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eNOTE:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 247.5px 8px; transform-origin: 247.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e Reflections and rotations are not significant and should be counted only once.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function TA = nonSquarables(A)\r\n    TA = 8 * A + 8;\r\nend","test_suite":"%%\r\nA = 20;\r\nTA_correct = 168;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 200;\r\nTA_correct = 24732;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 2000;\r\nTA_correct = 3128803;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 20000;\r\nTA_correct = 382868578;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 200000;\r\nTA_correct = 44889840284;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nA = 2000000;\r\nTA_correct = 5150630032283;\r\nassert(isequal(nonSquarables(A),TA_correct))\r\n%%\r\nAs = 1000000:100000:5000000;\r\nTAs = arrayfun(@(A) nonSquarables(A),As);\r\nss = floor([TAs(1) TAs(end) sum(TAs) median(TAs) std(TAs)]);\r\nss_correct = [1237846589396 33831082399137 567489801806465 11849294784960 9910963238214];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('nonSquarables.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":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-11-23T12:36:30.000Z","updated_at":"2026-03-19T11:13:38.000Z","published_at":"2021-11-23T18:56:00.000Z","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\u003eAny integer-sided rectangle can be cut into unit rectangles (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\\\\times1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) and rearranged into sets of smaller rectangles. For example 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\u003e3\\\\times5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e rectangle can be broken 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=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"75\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"246\\\"/\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 call an integer rectangle as \\\"squarable\\\" if it can be can be broken (i.e. cut into unit rectangles and rearranged) into any number of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enon-unit squares of equal sizes\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e. For example 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\u003e4\\\\times6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e rectangle can be broken into six \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\\\\times2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e squares. Therefore, 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\u003e4\\\\times6\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e rectangle is squarable.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\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=\\\"83\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"293\\\"/\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=\\\"rId2\\\"/\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\u003eInteger rectangles that are not squarable are called \\\"non-squarable\\\". 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\u003e3\\\\times5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e rectangle, shown in the first example above, is a non-squarable rectangle. The complete set of non-squarable rectangles with area \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\\\\le20\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e square units 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: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\\\\times1,\\\\ 1\\\\times2,\\\\ 1\\\\times3,\\\\ 1\\\\times5,\\\\ 1\\\\times6,\\\\ 1\\\\times7,\\\\ 1\\\\times10,\\\\ 1\\\\times11,\\\\ 1\\\\times13,\\\\ 1\\\\times14,\\\\ 1\\\\times15,\\\\ 1\\\\times17,\\\\ 1\\\\times19,\\\\ 2\\\\times3,\\\\ 2\\\\times5,\\\\ 2\\\\times7,\\\\ 3\\\\times5\\\\}\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\u003eCreate a program that calculates the total area of all non-squarable integer rectangles whose areas are less than or equal to a given area 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\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e. \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\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: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\u003eA=20\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, the program should output:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\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\u003eTotal\\\\ Area = 1+2+3+5+6+7+10+11+13+14+15+17+19+6+10+14+15=168\\\\ sq.\\\\ units.\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\u003eNOTE:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e Reflections and rotations are not significant and should be counted only 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Sequences 53: Greatest Proper Divisor","description":"The greatest proper divisor () of an integer  is the largest integer , such that  and . Furthermore, we define: . \r\nBelow is the set of 's of numbers from  to :\r\n                                .\r\nGiven an integer , create a function that outputs the sum of 's of all integers from  to , inclusive. For , your function should return, .\r\nTIP: Good algorithms for finding GPD's for numbers  to , can be found in Rosetta Code.","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: 183px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003eThe greatest proper divisor (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"34\" height=\"18\" style=\"width: 34px; 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) of 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);\"\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; \"\u003e\u003cspan style=\"\"\u003e is the largest 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);\"\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=\"\"\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=\"37\" height=\"19\" style=\"width: 37px; 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=\"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. Furthermore, we define: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ4AAAAmCAYAAAA1HCJjAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAnqADAAQAAAABAAAAJgAAAADhnA+qAAAH3klEQVR4Ae1Za7CNZRTe7qQ0CiOio8hlGjImkxSVQql+4UemOqPJCFOZYrqoM0Uy02WmJs1I6oepZtKFCd00biVFF4VQ6lRIxCSXcdfznPOtbVnnu+797ePs07tmnvOt27ve913f+t7LPpmMI5cBlwGXAZcBlwGXAZcBlwGXAZcBlwGXgWrJwLno5X2gLKXeRiDOCqBDSvH+d2EaYMbdgFuAQUB3oC6gibo2WlFkfHOMdwPwA3B2jLGXwOc5oEWIb33YFgA7gItC/IrRVIJBR80/p3k1Q6vHgHXAYeCEwT+Q5wFjgUnAAWAooOlqCLsA+vrhT+i5IswGuMq0BvzoFSjD4jD2JmA+wGTcATQCkhDnsg1oH9GoHewzAMlJxwj/M2H/BvgWaBzhWwzmpPOPPacz4PkIsBtgse0Bngf6Aey0B8AXuwigXaMVZEtNoGAxaL81kO8C7gW4IoiNxXUr4Edchb4ExJfPpQDjjAKmAHy5Yt/i6fGIpPHwOAr0CvFsC9uLwCFA+uAzqvDgUrETbMdzFoUipXzmHznls+CxHJDEchW5OKAVt9qHlS9XxiAaAIPE5LO3cRxn7H2MXcSXld+/4HkmszQMChaR9DfZOhiZYzkMvGr0VnwHCsa6DTgCSPw4hQf3zD1em5EUipDynX/glJvDoleUxZDPCfQ+aXgbLF/C9JOqKtxDng/9/gLqGA/KmwF5mVONXcRVymeuKH2eE5QfY5b6+FDFfjcCLLwSIC6thaOMNW7hcZvdCuwDuP0WM+Uyf9/5NoNWb1M8ezX19ayq7AsVX8LwqqasRm/Ls7PaU5n5EOVl8gOwxI/gGCA+o62DkT9Rvj+Br2fsFK8CGO81CgloJXxlHHELj+Hv99oV66rHOZASzd/eQitDVP59AI9LlaIM/H4lh7HfwXgcWBrgxDPjlcr2oeI121YJBxUv7AAweg4fiSHguVDpWRy8jVvitklaUPko+F8ZU2nBeyqCDlpijHsB+YJ/BO+3OoRNJWzrGKJis0DZnyWeLfVqNtE6QJ4JyBi5PUZRfziIP58TTANufbwNc0x+Z0XjfoqY6Is/pWUmw92E40myUpoQp11MNH+9WuiRPwhBFw7PYyyCJMRzSxDplWY1nHb6OPJMJ+PbD/51H5+BShe12tGV5xBNF2oBfB+AN2Wu2LuA6qLFXkfXVFeHp7uf+j4D4DY4Ruk3gJ+r5DTYwSqI3WZbwDYZGO35cCW4HeAhXFNnCO2VwsZRpizbKMtVMrw8aZJ467WyGnjmmNSu8pHo77vw7p+ohb/zcKg/9Telr/UrvC7oprHq6mPFp8FylemkAt0M/gKAW2sroDfQACB9AZQBvBRY0qvdIRiXWAcfuY3RbTPy+Z5cnasdu5T+pH8zrFCReYvzS0NoEBgl51F+qdj9Cq+ribzYyFYcCcVUIOgMyG3retVIb7MHod8D9AQ48e3AG8BvwDIg7AscCLvQcjAHRAh5Xm5sfxhZLjN/G32hxXwKbxoGNyeFAX6dQoy8QnCbO6HQPUY0ngefUG3YnqtUB8DSPCgkfq5beEPE0Jcf/iQRh3TfPLNy9dX0HgSObZxWxuRXem3ZPuklYbDXdlXMvmqiW6L51/WZgb3N7fDxsSpeJD4zylGQfzU6Fsy1SpfrNs5LAItdKM7Fgtu4XnlZZL9IAO8pF6LGRl9osYnXwdFCd1RT4vsV3nozuKZGDhL1Nsbt1RYd2/UFkhYM21nS2/VWGO1t1fpTHg/IC6b8DP8Y2uLJ9uMzbqmL0p/0n3oHNS1gfZ8BsWg0dYawWSsC+BuUPuhspguGq02cuCpsltXnuzirXSe0HJttncl8AJ5bgyU580khWHuhZN7kSbkUXq251a5BAnhQ588qJG5rCyu44D9MXG9lDio8nmWEct1m2VdPCYJnVOFxxebL4e2PtAIYVsFV/SMv3t5+q3qmqznPCyf9J4lea261ezHrKcBUb/bcomYAYUkZArts20fALwMsMbk9lHKR4pOw18FZ+uJBPqjIGbMXMBO4hAJoNcCVmT9I+5H8nnYFjOzjuJ9TgK5OgD6Oup/nxI8+KU1DgzlJG/n453urzWf+2eHwpw2e9fhiCRZJS8CP2OHngPjypw0/uhtK8eFTvnI/3zDdmypO0MfA1ZpnOB7W2RcLiDfo5kAUfQUHtmHRJqFyOMv8pNDjtOcKzvHxrCofVJx2Nc2nHAPKZf5V5sHkfa+C7QTP4uHPK40A3vwuA7gNS4eHwdPHUkcoygHx41NvuxBj0U3wYh86zlOQhwJjgZeAJcBugD7HgLcAvdJCDKUxsLLtxFCvk8Z6YO8D9JiehcyPNw5x22fbp+M410CffOfvOyUmrwyQFynJ5QvlVyry7+AnAa0BSywG8bPPcuscIm8MicO4+4B1wAJgOjAB6AYkJa6KB4FNAJMaRtzm2K+dF+U9wFogirib0J8fdLFRGvMPnTO3067AncCTwGRgFDAI6AJEvSC4FBW9gNGyGEoLPOr+Xj9clR25DFQcJVYhD5uBhgXMxzLE/hloVsA+XOgiy0AJxrsLmF2gcT+KuIeApJeYAg3Hha1JGbgRg+FZ9vGUBzUC8biVj0s5rgtXizJQirlwZRqW0pz4b0NeXspSiufC1OIM8KelninNrzPi8AdqRy4DLgMuAy4DLgMuAy4DLgMuAy4DLgMuA/lm4D82gernMho/BwAAAABJRU5ErkJggg==\" width=\"79\" height=\"19\" style=\"width: 79px; 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=\"\"\u003eBelow is the set of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"34\" height=\"18\" style=\"width: 34px; 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's of numbers from \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);\"\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; \"\u003e\u003cspan style=\"\"\u003e to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAAAXNSR0IArs4c6QAAAERlWElmTU0AKgAAAAgAAYdpAAQAAAABAAAAGgAAAAAAA6ABAAMAAAABAAEAAKACAAQAAAABAAAAJKADAAQAAAABAAAAJAAAAAAqDuP8AAACk0lEQVRYCe2W24tNURzHx2XceZlyi+SWklHTuBSSB/LkkUJT8x944cGLeVaTaYoXk0t5wQMJD24lGhqJUh4w0yC3UKKEGbfP97TXabX6rX3W2WPKw/7V5+y1frf9O7+91tq7oaGUsgNlB0a3A2NqpF+MfR2shEnQB3dhAFJkFU7WPaajP5BxKyVRI04dMAR/DE6iGwd5shWjFet0b7DrPknSg5cLjF3P4zMhJ9uNGjk6rFirnVtwvAqPYQ/0wkRYC53QDE62MbjkJt61lfF9uAm3IZSPKI7B19Bgza+gfAWzDONkdP3gutZl+Eh1Gn7BUk1GItMI/gE7c5K0YXMFPTD8FqH7CerQDMNel0q76RrkLdgV2F1Bumkoh1E4u7r0CDpBuUdFlpDV3fBscIcm5loXzh5eL2CzlkKQpr7pZu+Gu4LQBcwvwiD8hrAgzV/CXPhn0k0mJX4HOixjMhXDajgBenR+cVp7ecsCc5pMwe09KPmOtJCKVwu/d8Avancd8VHXg1nSM1GPuEE77mkWr8Kux13TLHovDcM90HlURLRDdSSooGdFEriYeQxewwDMdsqCV70BVNDngvGVw+0hwSpoYdEkXtwpxirohaerDsdXR/ZAj0bbeD5shEEYqXzPErytN1EjAZfhC2j7xqQdw5qY0dBrDapD+w1bVDUWi3bSN9gEMVHX9I+XxRwC/QbmKmYIZga2ytR6ZPokOQo6Z9TW9gwuVVHB+gzR+6kXnoA+UdTR5dAH+6AfnOi1ciSbyKbzLEkO4aV/kUpbllXF+THqrh6Lurcd3Bm0l3GyrMfTT1pr/Al//0w6ztx6h0l3DlohV6wvxtyABKOOBh2Ac0Ab4jno/PoApZQdKDtQduC/78BfMZPBY88eoSMAAAAASUVORK5CYII=\" 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: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; text-align: left; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e                                \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg 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\" width=\"486\" height=\"19\" style=\"width: 486px; 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 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, create a function that outputs the sum of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"34\" height=\"18\" style=\"width: 34px; 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's of all integers from \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);\"\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; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e to \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, inclusive\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"font-weight: bold; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e For \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"44\" height=\"18\" style=\"width: 44px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e, your 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=\"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.\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; \"\u003eTIP\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; 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: Good algorithms for finding GPD's for numbers \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);\"\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; \"\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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\" 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, can be found in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://rosettacode.org/wiki/Largest_proper_divisor_of_n\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eRosetta Code\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"the function s = sumGPDs(n)\r\n    y = x;\r\nend","test_suite":"%%\r\nn = 25;\r\ns_correct = 107;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nn = 100;\r\ns_correct = 1691;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nn = 10000;\r\ns_correct = 16507016;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nn = 10000000;\r\ns = arrayfun(@(i) sumGPDs(i),1000000:100000:n);\r\nss = floor([mean(s) median(s) mode(s) std(s)]);\r\nss_correct = [6131600733080 4992760161090 165051503014 4903597092814];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 87654321;\r\ns_correct = 1268119158203109;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nn = 100000000;\r\ns = arrayfun(@(i) sumGPDs(i),10000000:10000000:n);\r\nss = floor([mean(s) median(s) mode(s) std(s)]);\r\nss_correct = [635439507299878 503400239949103 16504975497498 564032070925422];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 123456789;\r\ns_correct = 2515609811020846;\r\nassert(isequal(sumGPDs(n),s_correct))\r\n%%\r\nfiletext = fileread('sumGPDs.m');\r\nnot_allowed = contains(filetext, 'persistent') || contains(filetext, 'global') || contains(filetext, 'BigInteger') || contains(filetext, 'java'); \r\nassert(~not_allowed)","published":true,"deleted":false,"likes_count":3,"comments_count":1,"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":"2021-11-25T04:32:21.000Z","updated_at":"2026-03-19T13:00:12.000Z","published_at":"2021-11-26T07:30:59.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe greatest proper divisor (\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eGPD\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e) of an integer \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the largest 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\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\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\u003ey\\\\ |\\\\ 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\u003ey \u0026lt;x\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Furthermore, we define: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eGPD(1)= 1\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\u003eBelow is the set 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\u003eGPD\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e's of numbers from \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\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\u003e25\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{1,\\\\ 1,\\\\ 1,\\\\ 2,\\\\ 1,\\\\ 3,\\\\ 1,\\\\ 4,\\\\ 3,\\\\ 5,\\\\ 1,\\\\ 6,\\\\ 1,\\\\ 7,\\\\ 5,\\\\ 8,\\\\ 1,\\\\ 9,\\\\ 1,\\\\ 10,\\\\ 7,\\\\ 11,\\\\ 1,\\\\ 12,\\\\ 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, create a function that outputs the sum 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\u003eGPD\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's of all 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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e to \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, inclusive\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e 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=25\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, your 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\u003e107\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\u003eTIP\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e: Good algorithms for finding GPD's for 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\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\u003e100\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, can be found in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://rosettacode.org/wiki/Largest_proper_divisor_of_n\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eRosetta Code\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":53130,"title":"Easy Sequences 55: \"Ugly\" Rectangles?","description":"A positive integer  is called a regular number, if and only if there exist a non-negative integer , such that .  For some reason, such a number is also refered to as an ugly number. Below are the first few regular numbers:\r\n                            \r\nWe say that an integer-sided rectangle is a \"regular\" rectangle if its area is a regular number. In the figure below, the red-colored rectanges are regular, while the blue ones are not.\r\n                                                                    \r\nAll  regular rectangles whose areas are less than equal to  are listed below:\r\n                                    \r\nAnd their total area is:\r\n                                \r\nFor a given area limit , find the total area of all regular rectangles with areas less than equal .","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 541.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 468.5px 270.75px; transform-origin: 468.5px 270.75px; 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21px; text-align: left; transform-origin: 444.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eA positive integer\u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Regular_number\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is called a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Regular_number\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003eregular number, \u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eif and only if there exist a non-negative integer \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\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; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\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=\"50.5\" height=\"20\" style=\"width: 50.5px; height: 20px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.  For some reason, such a number is also refered to as an \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\"\u003e\u003cspan style=\"border-block-end-color: rgb(0, 91, 130); border-block-start-color: rgb(0, 91, 130); border-bottom-color: rgb(0, 91, 130); border-inline-end-color: rgb(0, 91, 130); border-inline-start-color: rgb(0, 91, 130); border-left-color: rgb(0, 91, 130); border-right-color: rgb(0, 91, 130); border-top-color: rgb(0, 91, 130); caret-color: rgb(0, 91, 130); color: rgb(0, 91, 130); column-rule-color: rgb(0, 91, 130); outline-color: rgb(0, 91, 130); text-decoration-color: rgb(0, 91, 130); text-emphasis-color: rgb(0, 91, 130); \"\u003e\u003cspan style=\"\"\u003eugly number\u003c/span\u003e\u003c/span\u003e\u003c/a\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Below are the first few regular numbers:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; 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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\" width=\"515\" height=\"18\" style=\"width: 515px; height: 18px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21px; text-align: left; transform-origin: 444.5px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWe say that an integer-sided rectangle is a \"regular\" rectangle if its area is a regular number. In the figure below, the red-colored rectanges are regular, while the blue ones are not.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 195.5px; 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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 97.75px; text-align: left; transform-origin: 444.5px 97.75px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                                                    \u003c/span\u003e\u003c/span\u003e\u003cimg class=\"imageNode\" width=\"221\" height=\"190\" style=\"vertical-align: baseline;width: 221px;height: 190px\" 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width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e regular rectangles whose areas are less than equal to \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" width=\"18\" height=\"18\" style=\"width: 18px; height: 18px;\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are listed below:\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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 31.5px; text-align: left; transform-origin: 444.5px 31.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                    \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-26px\"\u003e\u003cimg 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\" width=\"483.5\" height=\"63\" style=\"width: 483.5px; height: 63px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAnd their total area is:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 21.5px; text-align: left; transform-origin: 444.5px 21.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e                                \u003c/span\u003e\u003c/span\u003e\u003cspan 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\" width=\"481.5\" height=\"43\" style=\"width: 481.5px; height: 43px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 444.5px 10.5px; text-align: left; transform-origin: 444.5px 10.5px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eFor a given area limit \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, find the total area of all regular rectangles with areas less than equal \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: STIXGeneral-webfont, serif; font-style: italic; font-weight: 400; color: rgb(33, 33, 33);\"\u003ea\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function t = totArea(a)\r\n    y = x;\r\nend","test_suite":"%%\r\na = 20;\r\nt_correct = 313;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 100;\r\nt_correct = 5342;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 3333;\r\nt_correct = 1209694;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 12345;\r\nt_correct = 8203409;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 678910;\r\nt_correct = 1895042544;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 11111111;\r\nt_correct = 69378626554;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 2222222222;\r\nt_correct = 48508480933342;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\na = 10000000000;\r\nt_correct = 296509087777177;\r\nassert(isequal(totArea(a),t_correct))\r\n%%\r\nas = 10000000000:10000000000:50000000000;\r\nts = arrayfun(@(a) totArea(a),as);\r\nss = uint64([sum(ts) sum(diff(ts)) sum(num2str(ts)) floor(std(ts))]);\r\nss_correct = [5634726420754063 1718058577960775 4402 681192254343774];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('totArea.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":413679,"edited_at":"2026-03-27T19:39:02.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2021-12-11T17:08:46.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2021-12-10T09:50:52.000Z","updated_at":"2026-03-30T13:08:49.000Z","published_at":"2021-12-10T19:06:50.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eA positive integer\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Regular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003e \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\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is called a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Regular_number\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eregular number, \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003eif and only if there exist a non-negative 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: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\\\\ |\\\\ 60^k\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.  For some reason, such a number is also refered to as an \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Talk%3ARegular_number#%22Ugly%22_numbers?\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eugly number\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. Below are the first few regular numbers:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                            \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60...\\\\}\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\u003eWe say that an integer-sided rectangle is a \\\"regular\\\" rectangle if its area is a regular number. In the figure below, the red-colored rectanges are regular, while the blue ones are not.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\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=\\\"190\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"221\\\"/\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\u003eAll \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e28\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e regular rectangles whose areas are less than 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\u003e20\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are listed 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=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\{ \\\\  1\\\\times 1,\\\\  1\\\\times 2,\\\\  1\\\\times 3,\\\\  1\\\\times 4,\\\\  2\\\\times 2,\\\\  1\\\\times 5,\\\\  1\\\\times 6,\\\\  2\\\\times 3,\\\\  1\\\\times 8,\\\\  2\\\\times 4,\\\\  1\\\\times 9,\\\\\\\\\\n\\\\ \\\\ 3\\\\times 3,\\\\  1\\\\times 10,\\\\  2\\\\times 5,\\\\  1\\\\times 12,\\\\  2\\\\times 6,\\\\  3\\\\times 4,\\\\  1\\\\times 15,\\\\  3\\\\times 5,\\\\  1\\\\times 16,\\\\  2\\\\times 8,\\\\  \\\\\\\\\\n\\\\ \\\\ 4\\\\times 4,\\\\  1\\\\times 18,\\\\  2\\\\times 9,\\\\  3\\\\times 6,\\\\  1\\\\times 20,\\\\  2\\\\times 10,\\\\  4\\\\times 5\\\\  \\\\} \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\u003eAnd their total area is:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e                                \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA_{T} = 1+2+3+4+4+5+6+6+8+8+9+9+10+10+12+12+12\\\\\\\\\\n\\\\ \\\\ \\\\ \\\\ +15+15+16+16+16+18+18+18+20+20+20 = 313\\\\ \\\\text{sq units}\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\u003eFor a given area 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\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, find the total area of all regular rectangles with areas less than equal \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ea\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\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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Sequences 58: Curious Prime-Rational Functions","description":"For some prime numbers  and  where , a rational function , is defined as follows: .   Using the output , another rational function , is defined: .   Finaly, using the output , we define the function : ;  where the symbol \"\", represents the integer part of the decimal expansion of the fraction  .\r\nFor example for  and : ; ; since , .\r\nAnd, for  and : ; ; since, .\r\nIf , and given an integer limit , write a function that returns a sorted array of all unique values of  that are less than or equal to .\r\n-----------\r\nHINT:     Both  and , are rational functions and expect exact rational fraction outputs. Therefore, please preserve numerators and denominators for  and , and evaluate decimal expansions only when calculating the output of the function . ","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: 357.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 178.75px; transform-origin: 407px 178.75px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 130.5px; 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 65.25px; text-align: left; transform-origin: 384px 65.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 81px 8px; transform-origin: 81px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor some prime numbers \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: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eq\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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=\"\"\u003e 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: 38px; height: 18px;\" width=\"38\" 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: 62.5px 8px; transform-origin: 62.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, a rational 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);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 71px 8px; transform-origin: 71px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, is defined as follows: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 165px; height: 35px;\" width=\"165\" height=\"35\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 8px 8px; transform-origin: 8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.   Using the output \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 72.5px; height: 18.5px;\" width=\"72.5\" 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: 83px 8px; transform-origin: 83px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, another rational 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);\"\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; perspective-origin: 38.5px 8px; transform-origin: 38.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, is defined: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 94.5px; height: 35px;\" width=\"94.5\" height=\"35\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 83.5px 8px; transform-origin: 83.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.   Finaly, using the output \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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, we define the 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);\"\u003eN\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-14px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 129px; height: 39.5px;\" width=\"129\" height=\"39.5\"\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: 65.5px 8px; transform-origin: 65.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e;  where the symbol \"\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAlCAYAAADSvLDKAAAAh0lEQVRYhe3YwQmDQBgF4enBDtKADViBFaQDO7CmlGAx9hIPelqSwMNfhDADy96eH3sUzC5pBB43fLOrGFqAuWIoaAWGiqE78G/Ei48TD+LjxIP4OPEgPk48iI8TD+LjxIP4OPEgPk48/AF+Pe72PE9uv77sluFH9pf/dPqT29OP7ZK/xGZNG+TqVZ2JawLPAAAAAElFTkSuQmCC\" style=\"width: 23.5px; height: 18.5px;\" width=\"23.5\" 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: 139px 8px; transform-origin: 139px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\", represents the integer part of the decimal expansion of the fraction \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);\"\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; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e .\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 28px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-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 14px; text-align: left; transform-origin: 384px 14px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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: 38px; height: 18px;\" width=\"38\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-10px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 99.5px; height: 28px;\" width=\"99.5\" 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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e; \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-10px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 95.5px; height: 28px;\" width=\"95.5\" 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: 22.5px 8px; transform-origin: 22.5px 8px; unicode-bidi: normal; \"\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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\" style=\"width: 49px; height: 18.5px;\" width=\"49\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 81px; height: 18.5px;\" width=\"81\" 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: 28px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-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 14px; text-align: left; transform-origin: 384px 14px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 27px 8px; transform-origin: 27px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAnd, 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: 38px; height: 18px;\" width=\"38\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16px 8px; transform-origin: 16px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 36.5px; height: 18px;\" width=\"36.5\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-10px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 99.5px; height: 28px;\" width=\"99.5\" 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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e; \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-10px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 95.5px; height: 28px;\" width=\"95.5\" 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: 20.5px 8px; transform-origin: 20.5px 8px; unicode-bidi: normal; \"\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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\" style=\"width: 49px; height: 18.5px;\" width=\"49\" height=\"18.5\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 73.5px; height: 18.5px;\" width=\"73.5\" 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: 6.5px 8px; transform-origin: 6.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eIf \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 60px; height: 18.5px;\" width=\"60\" 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: 95.5px 8px; transform-origin: 95.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, and given an integer limit \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ex\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 173.5px 8px; transform-origin: 173.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, write a function that returns a sorted array 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: 24.5px 8px; transform-origin: 24.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; text-decoration: underline; text-decoration-line: underline; \"\u003eunique\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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=\"font-weight: 700; \"\u003e values of \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003en\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e that 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);\"\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: 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: 27.5px 8px; transform-origin: 27.5px 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: 27px 8px; transform-origin: 27px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eHINT:     \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 16.5px 8px; transform-origin: 16.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eBoth \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);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; 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; perspective-origin: 109px 8px; transform-origin: 109px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, are rational functions and expect \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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=\"text-decoration: underline; text-decoration-line: underline; \"\u003eexact\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 169px 8px; transform-origin: 169px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e rational fraction outputs. Therefore, please preserve numerators and denominators for \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);\"\u003eR\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; 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; perspective-origin: 233.5px 8px; transform-origin: 233.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and evaluate decimal expansions only when calculating the output of the 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);\"\u003eN\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function ns = arrayNs(x)\r\n    ns = 1:x;\r\nend","test_suite":"%%\r\nx = 1e2;\r\nns_correct = [0 19 28 78];\r\nassert(isequal(arrayNs(x),ns_correct))\r\n%%\r\nx = 1e3;\r\nns_correct = [0 19 28 78 166 622];\r\nassert(isequal(arrayNs(x),ns_correct))\r\n%%\r\nx = 1e4;\r\nns_correct = [0 19 28 78 166 622 1366 3718 7222];\r\nassert(isequal(arrayNs(x),ns_correct))\r\n%%\r\nx = 1e6;\r\nns = arrayNs(x);\r\nss = [length(ns) sum(ns) sum(num2str(ns))];\r\nss_correct = [27 4981111 9249];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nx = 1e8;\r\nns = arrayNs(x);\r\nss = [length(ns) sum(ns) sum(num2str(ns))];\r\nss_correct = [129 3617934043 59547];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nx = intmax;\r\nns = arrayNs(x);\r\nss = [length(ns) sum(ns) sum(num2str(ns))];\r\nss_correct = [394 241721655665 219718];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nx = 1e10;\r\nns = arrayNs(x);\r\nss = [length(ns) sum(ns) sum(num2str(ns))];\r\nss_correct = [708 1999864114957 404552];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nx = 1e12;\r\nns = arrayNs(x);\r\nss = [length(ns) sum(ns) sum(num2str(ns))];\r\nss_correct = [4568 1322484296840565 3099611];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nx = flintmax;\r\nns = arrayNs(x);\r\nss = [length(ns) sum(num2str(ns))];\r\nss_correct = [228372 203164785];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nfiletext = fileread('arrayNs.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":6,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2021-12-21T18:52:30.000Z","updated_at":"2026-03-26T12:27:50.000Z","published_at":"2021-12-22T07:55:09.000Z","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 some 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\u003ep\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\u003eq\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e where \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep \u0026lt; q\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, a rational 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\u003eR\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is defined as follows: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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(p,q)=\\\\frac{2pq+p+q+1}{pq+q} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.   Using the output \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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 = R(p,q)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, another rational 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\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is defined: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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(r)\\\\  =\\\\  \\\\frac{2r}{2-r} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e.   Finaly, using the output \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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=K(r)\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, we define 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\u003eN\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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(k)=\\\\begin{cases}k\u0026amp;\\\\left\\\\lfloor k\\\\right\\\\rfloor  =k\\\\\\\\ 0\u0026amp;\\\\left\\\\lfloor k\\\\right\\\\rfloor  \\\\neq k\\\\end{cases} \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e;  where 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\\\\left\\\\lfloor \\\\ \\\\right\\\\rfloor  \u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e\\\", represents the integer part of the decimal expansion of the fraction \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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 .\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\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\u003ep=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\u003eq=5\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003er=R(2,5)= \\\\frac_{28}_{15}\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=K(\\\\frac_{28}_{15})=28\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\\\\left\\\\lfloor k\\\\right\\\\rfloor  = k\\\\end\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\\\\therefore N(k)=28\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 \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\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\u003eq=7\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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=R(3,7)= \\\\frac_{53}_{28}\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=K(\\\\frac_{53}_{28})= \\\\frac_{106}_{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\\\\left\\\\lfloor k\\\\right\\\\rfloor  \\\\neq k\\\\end\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\\\\therefore N(k)=0\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\u003eIf \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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=N(k)\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 given an integer limit \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e, write a function that returns a sorted array 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\u003eunique\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e values of \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e that 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\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.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e-----------\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eHINT:     \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eBoth \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w: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\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\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, are rational functions and expect \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eexact\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e rational fraction outputs. Therefore, please preserve numerators and denominators 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\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\u003eK\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and evaluate decimal expansions only when calculating the output of 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\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\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":53094,"title":"Easy Sequences 51: Positive Gaussian Primes","description":"A Gaussian Prime is a gaussian integer that cannot be decomposed as product of two non-unit gaussian integers (the complex units being: , ,  and ). We say that a gaussian prime , is positive, if   and . \r\nWrite a function that counts the number of elements of set, ,of all positive gaussian primes , such that  and  are both .\r\nFor example, for , the complete set of positive gaussian primes are as follows:                         \r\n            \r\nTherefore, for  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: 226.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 113.25px; transform-origin: 407px 113.25px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 42px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 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/Gaussian_integer#Gaussian_primes\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eGaussian Prime\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: 316px 8px; transform-origin: 316px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is a gaussian integer that cannot be decomposed as product of two non-unit gaussian integers (the complex units being: \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: normal; font-weight: 400; color: rgb(0, 0, 0);\"\u003e1\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACoAAAAkCAYAAAD/yagrAAAAhUlEQVRYhe3XUQmAMBhF4ZPFAhYwgQlsYIM1sIsRDGMGK8wHBwoqCv5uE+8H99nDGMJARCS2MnXAlQYYgT51yJmaJdCHZRnaAW1Y1qFbCrWmUGsKtWYSWhksSqh/uClW6PBwdz7+rzsag0KtKdSSYw0dgSJtzl7DcoJHvzTHB95PIiLyshkwkls8t0LQOAAAAABJRU5ErkJggg==\" style=\"width: 21px; height: 18px;\" width=\"21\" 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=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003ei\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 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,iVBORw0KGgoAAAANSUhEUgAAACMAAAAkCAYAAAAD3IPhAAAAxElEQVRYhe2WUQ3DIBBAn4c6wEANoGAKcICDOsBCNUxCxVQDFroPYHQLfGxdel1yL7mEpgl5Oe4OQFGU/8YAo7QEgAW2HE7YhYkqswi7MGSJlYsclXJJDKmLHBBINRMkZTypaEsn3aRkCgtVZhB2IfLFfLE/iHdGalamT2S2gxEbe/rd/5Zsl+Vg3Dt79kRPp2SlJXoq+5vaC7u83NRG2OVZL2v+tsAsJVOyEkgtHhEcemXYrXkt+o5xpKOapUUURVEuwwPb9lEUVsiTiwAAAABJRU5ErkJggg==\" style=\"width: 17.5px; height: 18px;\" width=\"17.5\" 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: 102px 8px; transform-origin: 102px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e). We say that a gaussian prime \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 40.5px; height: 18px;\" width=\"40.5\" 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: 44.5px 8px; transform-origin: 44.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, is positive, 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: 38px; height: 18px;\" width=\"38\" 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: 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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.5px; text-align: left; transform-origin: 384px 21.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 209px 8px; transform-origin: 209px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eWrite a function that counts the number of elements of set, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 31px; height: 20px;\" width=\"31\" height=\"20\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\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: 109px 8px; transform-origin: 109px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eof all positive gaussian primes \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 40.5px; height: 18px;\" width=\"40.5\" 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: 23px 8px; transform-origin: 23px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e, such that \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: 17px 8px; transform-origin: 17px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003e and \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eq\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-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=\"font-weight: 700; \"\u003e are both \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 25px; height: 18px;\" width=\"25\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 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: 53.5px 8px; transform-origin: 53.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFgAAAAkCAYAAAANdf2OAAACA0lEQVRoge2YXZWDMBBGr4c4wAAGqqAKcFAHOKiFakACHrBQDVjYfWjmMLDZMCndU+jOPScvZPLDl8lkEnAcx3Ecx3HKCUD1RJtTLOHlM/oQAtACI3AxtjkBPTDEttfY/kr5In00IuxXLBaBm2jbM/faOn4fcZGpeHhbA9ywC1wr2zpR38a64WUz/QBO2AXuyQtYFfT1b7AKrL33mrG74148wyrwVdk1GbtO2RXH4sDP2FPFSR41sFsF7snHX6HFthAAnGODnum0lUlUi0HHlYGX6BxyS9m6sFaBdbZhFTgXSoDJOyWuiNvXccC2tEOF/rEtZethYhVYj2kVuLNOYmDK/Srm3qonuLolFHXsb2s5F4yZolTgsaA/k8BhMYGBuZAXVX/E6+IzAuf+80yhwLpBzyMx19xU3RF5e4jQN517ol6Cf2vpbIf8ZRZhOh/0AbeMd2tXxxxHyyK0o1kFXj0ftIApd5f4uxb4Uxwti2iMduLppkcffYClVkM6W8ZlC0fLIgJTOMz9r9iY4q9ejdSAy/SsozxUvJuSxx7Z/r9lEjohMOkgxqkV01smRJuSi8ZeKBEYpjtBylYc0nTg69VIbUMdPgYKbi07IjB/nOlYz+UDk8iN+iaHoNnJGqY4l5tcT9kNbi/IG8uydLFuTWh5rJd2LccLj47jOI7jOI7jHJ1vW/g1szUietQAAAAASUVORK5CYII=\" style=\"width: 44px; height: 18px;\" width=\"44\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 240.5px 8px; transform-origin: 240.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the complete set of positive gaussian primes are as follows:                         \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63.5px; 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 31.75px; text-align: left; transform-origin: 384px 31.75px; 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: 24px 8px; transform-origin: 24px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e            \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-26px\"\u003e\u003cimg src=\"data:image/png;base64,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style=\"width: 610px; height: 63.5px;\" width=\"610\" height=\"63.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 46px 8px; transform-origin: 46px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eTherefore, for \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 44px; height: 18px;\" width=\"44\" height=\"18\"\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 85px 8px; transform-origin: 85px 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: 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: 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 c = countSGPP(n)\r\n    c = n;\r\nend","test_suite":"%%\r\nn = 10;\r\nc_correct = 35;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nns = 20:1:50;\r\ncs = arrayfun(@(n) countSGPP(n),ns);\r\nss = floor([mean(cs) median(cs) mode(cs) std(cs)]);\r\nss_correct = [261 255 103 109];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 100;\r\nc_correct = 1536;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nns = 200:10:500;\r\ncs = arrayfun(@(n) countSGPP(n),ns);\r\nss = floor([mean(cs) median(cs) mode(cs) std(cs)]);\r\nss_correct = [15076 14363 5253 6783];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 1234;\r\nc_correct = 144547;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nn = 5678;\r\nc_correct = 2490874;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nns = 400:400:10000;\r\ncs = arrayfun(@(n) countSGPP(n),ns);\r\nss = floor([mean(cs) median(cs) mode(cs) std(cs)]);\r\nss_correct = [2655106 2112268 18293 2278026];\r\nassert(isequal(ss,ss_correct))\r\n%%\r\nn = 12345;\r\nc_correct = 10756553;\r\nassert(isequal(countSGPP(n),c_correct))\r\n%%\r\nfiletext = fileread('countSGPP.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":3,"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":"2021-11-20T16:50:27.000Z","updated_at":"2026-03-19T11:03:41.000Z","published_at":"2021-11-23T10:00:33.000Z","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/Gaussian_integer#Gaussian_primes\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eGaussian Prime\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e is a gaussian integer that cannot be decomposed as product of two non-unit gaussian integers (the complex units being: \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e-1\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\u003ei\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-i\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e). We say that a gaussian prime \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ep+qi\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, is positive, 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\u0026gt;0\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\u003eq\\\\ge0\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\u003eWrite a function that counts the number of elements of set, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS_{GP+}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eof all positive gaussian 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\u003ep+qi\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\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 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\u003eq\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 are both \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\le n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\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, the complete set of positive gaussian primes 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\u003eS_{GP+} = \\\\{\\\\ 3,\\\\ 7,\\\\ 1+i,\\\\ 1+2i,\\\\ 1+4i,\\\\ 1+6i,\\\\ 1+10i,\\\\ 2+i,\\\\ 2+3i,\\\\ 2+5i,\\\\ 2+7i,\\\\ 3+2i,\\\\ 3+8i,\\\\\\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ \\\\ 3+10i\\\\ 4+i,\\\\ 4+5i,\\\\ 4+9i,\\\\ 5+2i,\\\\ 5+4i,\\\\ 5+6i,\\\\ 5+8i,\\\\ 6+i,\\\\ 6+5i,\\\\ 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