{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2025-12-14T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":46660,"title":"List all of the integer points in a bounded feasble region","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 593.118px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.491px 296.553px; transform-origin: 406.497px 296.559px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 20.5882px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.49px 10.2941px; text-align: left; transform-origin: 383.496px 10.2941px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Feasible_region\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eAbout feasible Region\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; \"\u003e\u003cspan style=\"\"\u003e. You will be provided constraints as string. There will be always two more constraints as follow;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.5882px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.49px 10.2941px; text-align: left; transform-origin: 383.496px 10.2941px; 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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\" width=\"36.5\" height=\"17.5\" style=\"width: 36.5px; height: 17.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.5882px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.49px 10.2941px; text-align: left; transform-origin: 383.496px 10.2941px; 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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\" width=\"37\" height=\"17.5\" style=\"width: 37px; height: 17.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.5882px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.49px 10.2941px; text-align: left; transform-origin: 383.496px 10.2941px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eList all of the positive integer points in the feasible region. Assume bounded feasible region.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 474.782px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.49px 237.385px; text-align: left; transform-origin: 383.496px 237.391px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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HGVtqZlOcc9v9gQHzFQzIeNfviyxL2dfozMUWJscf99n/njaNgYWWq1fkMvedSj6hSSDgWZGb/iFfcyQgIKZfCmYGaWjmVF425qLGRN6baZfAGZG6RRnRmGs6b4xbEFg8c1lKczMKJ2ymZFH7WfNuH7YmsBimeuqADOjdKrMjMJYc8513AGz0siEzMwonXFnRmGsaZ8dtjDQHY0uTX1mpDMrhjsl+j5Dk5ylMdzpUa977sYLs+sHP/+d5ftHRe8f/q/fp7NIjrO/kvZHso+5fHuczxUrYPt1f51R+2LtOnSv/m+T5QmL+A6UovsaHf+ATLTHdN18ZmRXkzsaVo1eI3a/Z5w9sGMJZ3LjZNL/08zI28TPNFl8TtUEZ6oM6VS/jh0oMXdjHTs2Q9mXQ1840q4MRw8wO6fyy1a5+Kq90SU5ma5mVDXXfOSoZj5bh2MDmK0T+WUrMTNKZx4zozA2OugVYSYeyy9bjZlROvOeGYWxUdOW1Xl02IpzTLcdM6N0mpwZeXS6ExtNlw/HFlBN9msbXcPMKJ02zIzC2OhiNQ6lDuSXncTMKJ22zYzC2Khrxa4haAedbGvd8Gp3+czIrq6a4MdNan8ef+1x9mMa9VytvsTuj2XS/ZuKMyPf0XGSeBsUd5L0z1ml/f2EcuFw5PsvfdMiuo4e2WHZMLzaffr1jOIezeHpZ+uM9qiO3R9LcQYyzv96pv1cPjMaZ4/vVEbNPKvMqH1m5KfktdGX3Q4vNU6x+LbkWSiaGfnETlamzatpo2KjlhnTAlIvSL2hhcTMKJ0uz4w8B373Gc2UOl3XxLAetPC//MDMKJ1FmBmFWXvOuT/UZ8pHPTqiN0sSZkbpLNrMSPHPZKOemVLLdXJfoWkwM0pnkWdGy7e/9LxmSr2b7tusU3tN14mZUTp9mBmFOedVG/88nyzQgE4cPzZLzIzS6dvMKIxNGqzGzUmrj6SfJ58Zxc58aA+vuq8sseeH9437C7VKcR+fcYdJKX62qq+hL67v/6PXKP7fOMPi+ziF+xOFOy/6L+WWxfe1UpvojJe6Hn62KsNzwz/8neXrxX25Yv9/6KnTuv+IpczB/NLpf1qldQNkTuWXk2rjZ5rWqgkwTNWdDWOvU5yRjHPa2bIv56idEEd9JqXK56rSi6i6d3fx/cbdm1ufqbjT5iQ/8T3qM5V9nvMuet1/1QST0zD93PBq1Ofyy9q8ZJn0Czjp/83CC/nltNr0mepS12dqU9vUMiz64uZX26Btn0mvo/kDKuKcMKO16QuH7tFvxj0yvIoYjmiujpkR6nIyv4ThiwW0Q2+/i8yEgHbSYVWPD68uNmZCQHcct3T+HGAAFkvtHQm94DQvOup/p319AO2XLHzfkV/KJfml08/xVp053Gj53vBqUtlr+W+SMzMCemycGUBqT8uLLKNep8r7MDMCeoovPwAAAAAAANAPl1q2Da8CQDPCjRJsoADQCpxWBUCjtJfrZ4ZXAaB5rKYBaAVmRgAaoxnQOy3PW3SaUAAAgO671/Lc8Orcle2jtMdyaHgVQBfdnV/K3vwyRqtZvz+8WjuttvnZ94o/xhcqmxnV9VNQABqwK7/03/mPFZbnVWzW+zxjKasnpWZGmhHps+g15jW8AGbAv8Cp357SalnZl/w3LHpOMc5nEsWEirdd+HoqfhdfW8L//bX8EkAH6ctc5dcT1GvRc38nu1WvB/LLMqmeUTgz0mre1uFVAF2T6pXMwymL13vU47l5eDWqrGbkP5rZ5GcBMKXiak9IPZZiDlsmxcxiNdoEvacvwTx/hvtpC1+8lWgPoAGbLHz5XkFboJfUK2mSf/H4Ag7RDui1NnwB+BLSBkBGOzhuGF5tRN+/iMyIgIJn80vMDzMiIIEvx/zQ1sAIRyzayoXZmefuE0Dn6bgv1I8ZETABViXqxa+gAFPQydO2DK9iCsyIgJrM62Rli9gb40RvQM3mMaPQezS9d3idqL0BM3KnZVbnB9KMyLMIdDoUADN2Or+sW9npS7rkRH4JYA5m0YNZhJkRMyKgAfo5oEuHV2vR9ZnRY/klgIbUtem6yzMjZkRAS9Sx2tbVmZH/vBOAltAJ9C8fXp1IF2dGzIiAFnspvxxX12ZG0/wYAYA5mWS1rUszI2ZEQIfss+weXq2kKzOjA/klgI6peuqMLsyMmBEBHVdlhtT2mdEey7rhVQBdpi/z9cOrUW2eGTEjAhZQqpfU1pnRDkuTv6ICYIZiM6Q2zoyYEQE9oC1t2uLm2jYz0lkuOdMl0CO+T1KbZkbqDTEjAnpGM6MwTc+UNCPS6hmAnvp/WQ4OrzZGW8yYEQE991R+6att86YZkTbhA+g5nxlJEz/vw4wIQCacGck2i84mOQ8c5gFgWXFm5Ga92tZ0nQpAy6RmRvJiflk3TgUCYJWymZHoN9vqnHkcyS8BYIVRMyNXx2obp4sFkFR1ZiTT/IY9v+QBoNQ4MyPZbHlgeLUyZkQARhp3ZuSqrrbxa68AKpl0ZiSjjmdjRgSgsmlmRrLJEttCdiq/BIBKpp0ZOa223TO8umoVzu8HgKS6ZkZnLS0t/Qe70Ba34szIb5/MLwFgldpmRmeff8Hg/V87oxlPcWZ0RX757fwSAFapZWZ09vkbBtfe9+nBh/5wkMXuUh7KHgSAEj7DGLzvM38812TvDgAFj+SXE1mzdt1ybyiW27/58mDtOef+q/zpAJA08cxo1IwojD2dHhGAUpPOjKIznbJs2bWHGRKApElmRtGZTZVotW3NurN/P38dAFg27swoOpMZN3qd4csBwNA4M6PojGXSvP4t1zNDArCs6swoOkOpI0vr1v2b/D3OYtM/0F9VZkbRmUid0XvojZgZAf01amYUnXnMItv23sxOkUCPlc2MojONWUYzo6W1Z38jf38APZKaGUVnFrOOZka61PsPBwNAX8RmRqtmEvOKz4yU7Tcc1AxJv8UPoAc0M7poeHV44KzPDHT94Oe/s3y7SrbfcEv0fmXngbui94cJZ0aKhmFpzdr/RQOXeyK/BLBgNDPaY9HZGAdXf/jj2Uxg3ye/uDxjuu7BYytmEONm/6Pfit4fS7ia5vdphqjbFileAlgQvpqWffFv+uyJ5ZmB37f1mrctzxjGjV4vfK1R8ZmRv2fkHEmK+CWABaGZ0fIXXilb1Zp1fGZUtkpnq23/Hxtm9eYALJDoF76pFGtGqWi4h4MPYBHoC/1A7MveVKrOjJRdh+7V8G/IPgmAzvKeRWdnRp6lNWv+Xf5ZAHTMy/mldH5mpNjnYLUN6Jgz+aVbiJmRctWH7tcMafPwYwFos+KMSBZmZuSx1bY/zT8bgBbSL73GLNzMSLHPxWob0EKpGZEs5MxIueYjRzVD2jr8mACadiq/TFnYmZFnaWnNf84/K4CGjJoRycLPjBT7nKy2AQ05kV+O0ouZkbLnow9rhrRt+LEBzEPVGZH0ZmbkOWtp6c/yzw5ghh7LL6vq3cxIsc/NahswQ+POiKSXMyNF52myz3/5sBkA1OVofjmu5ZmRTtvhJ1fTCdH8nELjnO3R/8ded/k+nZNo49bty7fLUpwZaZjC1/ITvb1m5+7l+0ZF51TyzxD7XGOutvmpSw5avj28CsBNOiOSByzLX9zY9aozEsXP6hi+jmYGfpK0Kz9w3/L9sfjMyGeKSjjj8detMoP05+rytq9+d9X94efSfZYUf0yn5w3Po+T3l/0v0BuH88tJLc+M9IX162HG7YXosvg6/hqjzoNdnBnp9Lfh455w5pJKOAyx9y1+rrd/6nH9zy5Lkc9sNCO6Y3h1BX8c6K0788tpHAq/kErxiz7OalrxLJFhD6dKqtaMxplBeqp+LmuT8KwGMVfklwDMgfxyUlnPwXPBxduiX8x5Z54F7LIsrV1HbweooM7zP6/qGTWZtsyMlHc89KRmSJxrG0jQl6POHzZkZjQi1kajVtuA3tlhqfsXVpkZVQirbcArNCOaxcnnmRlVzLt/+6RmSPuGzQb00xbLrH4Fg5nRmLE2o5eEXtKMSJkVZkYTZO055/4kbz+gF9QbmuWMSJgZTZj9jz6tHtLNw2YEFpdmRKoTzRozoyljbchqGxaWtpjNa/8WZkY1ZN15r2K1DQtnnjMiYWZUUw4ef1Y9pEPDZgW6b9rDPMbFzKjmWJuy2obOm/eMSJgZzSDnbPip5dU2fab8KtAJ054KZFLMjGaU933pec2E7mRmhC5pakYkh/wcROEpNXTiMXts+XbV+ClDwlOH6LpOrlblHETFmZH/r67r9CTnbrwwu17ltCb+ucJzIk3yufyzhMM/zusUZkY3Wu4ZXs18LL88mV8CjZnmLI11OBSeg8huL1+PnUK2asKZkVL1nEg+MwrfM/xfnyFUOfukf67i8I/7uXxmWIy/zqhzK+kznX3+hnBrm9676JL8EmhE0zMiOeRfKsXPMR32Auw5y9erJpwZpc7WGEtxZpT63yonVws/l2eSz6XPotPpqqflp9Ut9pL8eiz6THqNW7/8gt7zXsvnLEU6pS3QiEl+yWMW9voXzDPq1LBlKTvHdfgFTsVnRsUU/7dKT6uuz1XsGY37OsXPZG2uFLGahka0YUbkX4rsy0Lak2zsAHMwzq+9zsPecKnddPRljN3f5aQ+06GnTmvGox9EAOaubTMiYWY044z6TDYO6A1hrk7ll23DzGjGqfKZLnj9G3+Ujw9gpto6IxJmRjNO1c/0/q+dUQ+pDVtYsaBeyC/bipnRjDPuZ7Jxwmobancmv2wzZkYzziSf6cI3/hyrbahNF2ZEwsxoxpn0M33w6y+ph/TIcDQBk+nS72wxM5pxpv1MNo5YbcNEuvaDf8yMZpw6PtPmv3wlq20YSxeXYMyMZpy6PtPt33xZ09ex4WgD0rralWZmNOPU/ZlsnLHahqQuTxzMjGacWXymi6/6xa6VAzAHXV9KLc+MwvMaxW5XiR9dHzt9R5Uj7cMvrl5Lw+AnSVP8iPkqZwDwFE/xMcnn8oTDUjxnUyr+mWLnUfJTtkxyRoF8te3xbCwOcU6kHluE7vJey/IEHl6PfXlGxb+sqf/xL18q/sXdF5zHKDZ84UwhFX9ucSY47ufy52mGEZsZjXqdcAarz+9nq1SqfI5iijNivb8FPbYoE8DImVGslzMq4euEGfVaxV5EManXjSV8btg7Gvdz+evoMnzNSWZGxUwyM4q93+uvvv6Hdr9+5go9owliUWwbtfo0zsyoeAbGcVeJyr64Yaq8bl2fa9TrjFpdq/qZxon3rjQzs3EYzhifzMYqemGRZkSyLZzIm84svrhNZ16fyWeaNk4XbRpFxCKOZGZGM04Tn+mN1/9tbW1jtW1BLerShpnRjNPkZ7Lxy7m1F8wid3uZGc04TX8mG8eLPP32yqKPSGZGM04bPtPP3nirtratH45ydFEflijMjGacNn0mG9/PDEc7uqQvXVtmRjNO2z6TjfO+TNsLoU8ji5nRjNPGz/Tzv/T3tNq2YTgJoK36ttRgZjTjtPkz2fh/djgZoG362H1lZjTjtP0z2TTQx+m+1fp6SgZmRjNOFz7TrkP3/sCmhU3DSQJN6vO5YZgZzThd+kw2PTw/nCzQhK78isesMDOacbr2mWyaYLWtAX2fEQkzoxmni59p913/RKttW4aTCGat7b/0Oi/b/Jw64akydIqO4ulAqsRPZRGeVkMnJdPtKmdnLH5x9X/X3vfp7Lr+f/+j38qujzqth+KfKzxR2ySfyz9LOPzjvE74mTQsYdv4a447TOFJ6rwtqp4Sxd9fl96eqc9j00fZ9+Si4PLG4dWz7rA8NLyKKpgRvWJbeG4gu51dhhO23zdOwi+cUvU1/IsbPj88NYbfVzyVbCz+ucL/m+Rz+cwwTPg6o2Yk+kxhe/j7+sxSr1Vl5urR/xdPU1v1syjjfh69tiXme/ll+HjqOiJO5ZfIhROiL3Ht7uUvi67741VTXPpXfY3izCjs1YRfwCo9ifBzeSb5XN6D0P95TyJ8nVEzxuLMKJz5K5oRVek1emLDPep0vmF8WIoLobLP8wv3/PPv23O2WkL6P/ft/FL3eY8pfLw2h/PLJtT1gfQ6p4ZXG1fnZ5qaf8E8k5wc3nPlB+6L3q9U+cKFqzRhiv9bpSdR1+cq9iTGfZ3UZwoz7mpaLMWZXCrTfB6bXE4Pp5ps2vtPw6vLZrp6ppmQ3rSuL88k6nrvpj7Dtkg0LLH7x034OjqX9UTZffeRf1rMno/+i9+K5c23/sq/Lmb3Hf/4RNVcffifnSpL1ouwy6s+9MD/9ubb7jldJbve/9E/v+pD9w8mzWXvOjTT6DPp8uKr9s4lF1y8baaxaaYYn0HNlKrp/oZNqeO9dV7gJj9DUV3D0qbPVAt9cfOrC2MRP5PRZ1LmvsWtyU18047Ix/LLNk0QdQ1Lmz5TLZgZdYZ/JnaPqehofomOuOXhU1rlRLcs4sy2VsyIgPm52bJreBWhJrf+AX32Un4Jw4wIaBarbeZAfgmgWfssu4dX+4cZEdA+vTs9z578EkD79GaGpBkRP+MLtJu+p9cPry6mHRZ+4QDojj6fVRVAyzBDAtAa2kFSW9w6hX0WgMVV2/dbp5rUi+lUk5OoshXsc/klgMVUerCtn7XtnvyySDMgP+VkGc1INMNJzf1GzYz0Hk8MrwLoI595xGYiui81kyrSc/0UlDFlMyOf2TEzAnrMZ0KX5Jcx6vXEZlahUY+XzYz0v2EA9JBW08aZAcSeq/tGnRO3Ss2InhHQY/4bSJMKZ05ltaUqMyO91jgzRgALZNqZEQBMRb2YsjoRAAAAAAAAAAAAAACdpeNOtWuefijnTotOH6Tbl1sAAAB6j+MYAAAAzCkLnSIAANBbmy3adKZNaV4t2mYBAADovacsVI0AAECv7LXEOkBeNQIAAOidHZZb82izGgAAQKtsyC8x2jrL8xYqXQAALABVbF6w+IL9Vy19os88yc7el1r0v1V+ShEAANRMC2GvTKhKEdJ9yijar+cli577omWXpWt2W561FD+zf667s1vV6X/G7Rhps5/+b312CwAANEYL5NPDq8vCDkLKEYuepxy3FDtX47jd8sgYmRV9Fp01W5+nitiw6TUeK9ynqJKW4u0YVtfUnn4/AACYE3UEwoXvNAtiVVd8Ya4KkqoxXeLDPg39/7gVo9T7+pF2ugQAAHOihe9bLcXKUR0OWLSpqs0+Y1FVx6s0vrP4JPsK6f/H/b+bLbGOEWfuBgCgAVr4jruT9HNj5ISlCTq5o94/5UnL0eHVZdr5WR2SSXeCnqRj5N5p0Wa4k5bf0B0AAGD2fNNM6qSIi0CfywPEqDKo6aNs/y8AQA9os5E2cS0iLeReHl6lY4QoHf1HhwgAFphm8geHV3vtG5bwiDI6Rgj5PmScKwoAeuJhi2b8fTzTtD63dh4P923yjpEqSLpEf2n80yECgB5TJ+GZ4dXe8o4R+kvjf1E3GwMAJqAjpLRwuDO71R86qss7RjoZJfqFDhEAYCQ/WzU/6opFpelbJy0FAGAsOjN12Tl+gC7RfmR0iAAAU9tiYS0bXaUOUfEknQAA1OIBizpJm7NbQHudseinXAAAmIvn8wBtog6RfjYFAIBGqHqkKpKqSYtGv6WGbnjB0tRv7gEAEKX9kNRJ2prd6jadIVufRUF70SECAHSCjmjTkW1d4h2hVDhKrz1O5QEAoFP8F8q7eGSQOkI6ASbagw4RAGBh6Oza6iR1pbNBx6g9tLlMm80AAFhI+p02HUHUZnSMmkeHCADQK76pTb/83zZ0jJqjQ+7b3nEGAGCmDlrUSbo8u9U8OkbzR4cIAICIpy1NLyDpGM2Pds7Xz3cAAIAS6yyqIh3Lbs0XHaPZ+3ULHSIAACbwTos6SbuyW7NHx2h2/GSgAACgBjpaadaVBjpG9fP9yAAAwAxoU5s6SPoJj7rRMarPAQsdIgAA5uh6ixa+e7Jb06NjND2NCzpEAAA07HHLtJva6BhNzjtEqugBAIAWUQfpyeHVsdAxGt8OCx0iAAA6YLdFC21tcquCjlF13iHSmcwBAEDHaGftUZUNOkajbbHQIQIAYIG8ZNHh/0V0jNK8Q6RLAACwgHTiSC3sb85u0TGK8R/91aYzAADQE49Y1AG4IbsFOkQAAPTcU5a9Fv2YrX7Uto/8t+rqOjcUAADoKO8YuUst6iQcym4tNjpEAABghWLHKPSwRR2HRTwaS59LP+EBAACwrKxjFDpteXZ4tdPoEAEAgKSqHSOnI9jUubgzu9UdGubDw6sAAABx43aMQkcs6nBsym61Ex0iAABQ2TQdo9ALFp0TqS3023FHh1cBAACqqatj5Pxs0fdmt+aPDhEAAJhY3R2jkDpH6iRtzm7Nls7D9NjwKgAAwGRm2TEKPW/R5ra66TXpEAEAgFrMq2PktKO2qkgPZLcmpw5R7EdxAQAAJjbvjlFIR4upk7Q1u1XNKQsdIgAAMBNNdoxCOnnki8Ory27ML0UdImWUj+WXAAAAY2tLx8j5L9z/SXZrWB3S/km6L+bbls8Nry67Ig8AAMBY2tYxOmvNunX3vvpn3zw4Z8NPqTOk+A/blrnIEv4Y7KjnAwAArNKqjtEl1x0YnH3+hsHWa942+NAfDrJc/eGPewfJOzvaxKZKkXzPouvqGDlVi/jFfAAAMLZHLIeGV5uz7Rff/bI6RN4ZUvZ98osrbisf/PpLWQdp7Tnn/tbwP1e5I78EAAAYW6Mdox3v/j/+5zVr163qAFXJdQ8e8yrS5dmLAQAATKmRjtH2G2753ybtEMXymp27B0tr1/4wf3kAAICJzLVjdOm+9x23i2jnpo7c/s2XsyrSmnVnczZsAAAwtrl0jF57xV/9lF1EOzOzyts/9bhvatutYQAAABhlph2jC9+443a7iHZc5pmLr9o7WFpa8+PhUAEAAMTNpGO05uz1t9hFtJPSZLSpTfs2La1b92+GQwoAAPCKujtGOn9Q1gGJdUzalJs+e8I3tXHOIwAAkKmrY7TL0okOUSxv+IV9vqltXfZpcu/7zB+r4wQAAHpi2o7RDsvg/V87E+1wdDH5prY/0IejYwQAQL9M2jHaYlmoDlEx7/7tk4O8Y7Qv+8QAAGDhjdsxyjpEt375hWhnYtGijpEut99w0PdHWrGpDQAALJaqHaMNlt50iDzeMQqz9pz1Osv2vx02CwAAWCSjOkZZh+iXfu/Uqg5CHxLrGHkO/O4zXkW62QIAABaAd4xOZreGdF2bjKIdou033JJ1CPz21mvetuLxurLzwF0rbl/94Y+vuB1m/6PfWjFMt331u9nh+OFzJkmxYxQOk95Dl2qPn/4rf907Sest7gqL7nMXWTg1AAAALaaO0TPDq5l7LVmnQil2RrwzoOeE98+ic1R8zVTHSB0TXRaHqXh7khQ7RrHPWbzv7PM3DM5aWvov9v4SdoykeBsAALSIOkYfs9xoGez7v/4//kKXWsD7pTokxU6JP6aoA3Xdg8dWPF5HwvdQVK3xKtDBz39nsHHr9hWPF59fvD1Jih2j8DU1PN423jk6d+OFy48fPP5s9nxLuKlStwEAQEt9xjL4q//gN/+DNkf5Qj3Mvk9+MXq/ogqSV5FmkVQlSh0jJfaYcuUH7oveP25i+xilhklJbb5703sPeydJ+2wBAICW8AV0NBdcvC26YO9ryna+njTnXLBpsLRmzXesvQEAQAuoE3R4ePWsB6760P3RBTiZTcfI874vPe8dUh8XAABgjl62HB1eXUbHqCSz7BiF2XXoXu8kbcrGCgAAmJlYh8jRMSrJvDpGYc6/aIt+0PZP8/EDAABqcsby2PBqEh2jkjTRMfLoLOM2fhSdQgEAAEyoSofI0TEqSZMdozBvufuId5L0W3UAAKCCFywnhlcro2NUkrZ0jMLoyMGlNWv+Uz7+AABAwSQdIkfHqCRt7Bh5Dj112qtIR7IxCQBAz53KMw06RiVpc8cozJ6PPuydpK3ZWAUAoEeetkzbIXJ0jErSlY5RmI1vuHSw9MpvtQEAsLC0uUybzepEx6gkXewYed7/tTNeRUqdqgEAgE7SEWZ1d4gcHaOSdLljFGbv/Y94J+nSbKwDANBB6hDp0PtZomNUkkXpGIW56LJdg7OWlv4sH/8AALSeNn3MukPkVnSMyn5JP5WyX7mvI9fe9+no/WW5+sMfj94/blIdoyaHKcw04+uDX3/Jq0iPZFNCPW7ML6u6xHLR8CoAACupQ6Sf75inrGO088BdywvOczdeuHzdHl++HkYL1/2Pfmv5dup506bYmRj1PttvuGX5+iSdl2JiHaNYB6dsuDZu3b58vY5hUsLx5bnuwWOD27763VX3K6PG1w2fOJ7dZ9llmcRD+aU7aLnHsie7tZoeDztE38svAQDIfl1dC6UmZB0ju4wuNMPrxYSPbb3mbSseqyOx1ywbHqX4+LTDVewYxV5PHZLifWHCjpFSR1ul2iHs1BZTdXy9ZudubWr7vj1/HHp997H8sqxjJGFnKPx/AEBPNdkhcqsqRooWnOEC3Z43uOmzJwZXfuC+7Hrx+bovvF1XwuqMhknv4++lYVFHQJUQ3Vdc2Ks6k6qgVE1ZxcjbIjZMel/dp05GOAx1DJMStr+3S9hWuj3t+Lr9my9nz7Mct4xSrBhJ2DHyTtATFr2mHgtRMQKAHjtg0cKhDQ5d9q5DywtDLUzDhWOVtHEfo1FVnKqpcx+juoYpzLzG19s/9bh3knZnU01aWYUohn2MAKDH2tQhcis6RmRlUh2jPuf1b7le0/DLapvhJAQAwHi0Fq2FyLrsVrvQMSoJHaN01DZLa9dpun58OCkBAFCuzR0iR8eoJHSM0gnbRpv0bFpSrs+mKgAAAjssWkhsyG61Gx2jktAxSifVNtv23qxpX6edaPMKAQBgDrrUIXJ0jEpCxyidKm2Tb2rTb/wBAHpki0ULAF12DR2jktAxSmecttn/6NP6fij7sqkOALCQutwhcnSMSkLHKJ1J22b7DQe9k8SmNgBYENpUphm7Np11HR2jktAxSqeOtll33qt+YtPgyeGkCADoGq3hLkqHyNExKgkdo3TqbJsDv/uMV5H0G2oAgJbzDtG4Z/XtAjpGJaFjlM6s2mbn/ju9k7Q+m0IBAK2yqB0iR8eoJHSM0plH2+Sb2p4ZTqoAgCapQ6Sf8Fh0dIxKQsconXm2zXu+8JxXkW7PptoCG5YH8qsAgJr1pUPk6BiVhI5ROk21zZvee9g7ScvnC9Ow5FcBADXRjPXw8GqvLHeM9j/6rVULoVGZ5Ffmx82+T34xen9Z6vrF/9TCv8lh8jQ9voptM0mbXPmB+6L3V825P/XqH9s0/GykY3RHfjmOe/JLAOg1/XTBvcOrvZR1jOxyeWETXt96zduWr4e5+sMfX7FgnkUHaeeBu1bdp/ct3hfm3I0XLl8PP8ekKS78Y8OkhO9bTN3DpMRep+y1ZzG+wrYpTid6/arDo8tJOnlh8o6RopWbsIOj+z42vJr0RH4pk3SoAGAhqEN0dHi11w694a++fUWHI1zI2ePL1z23ffW7q+6LPW/axF6zrGN03YPHVtxOderGSbFjFBum4vuGmcUw6QdbY+2gTlusgzGr8eVto2HRMOm6Xyqp95jF8PiwqH2v+tD92etZNltcqnN0RX4ZCjtKALDwzlh+Z3gVZu/FV+1dsWDSgku3fTOHNgFt3Lo9u9T9nnDTSVmHZdIUqzP+vr7w9et+vyd8vl+fNMWOUThMsffV5ayHSSm+po8f3Z7X+ArbJtbh82HU+5YNjzpzYYdqkoTD4p/Np2PLn1ucOkjfs9xoCYfnIouoYuTXAWChqUP02PAqAlnHSAuSSTZnhAvbWWWShaZ3EqZNsWPkaXKYPE2Pr2LbTPLadW2CLQ5L8XVv+8qL3gEqO3qNk0sC6IUXLPy6d9pyx4isTqpjRNrVNuMMy1vuPuKdpC7/xiEAjI0OUTV0jEpCxyidrnaMwmzY8oYf2XfgxeFXAQAW06k8qIaOUUnoGKWzCB0jz6GnTnsV6Uj2rQCABUCHaDJ0jEpCxyidReoYhdnz0Ye9k7Qt+4YAQMdoc5k2m2EydIxKQsconUXtGIXZtO3ntKnt9PCrAgDtRoeoHnSMSkLHKJ0+dIw87//aGa8iPZx9awCgRXTIvQ69Rz3oGJWEjlE6feoYhdFJO+17o1yafYMAoCHHLHSI6kfHqCR0jNLpa8cozKsvfZM2tTFfAjBX+tkO/XwHZoOOUUnoGKVDx+iV3P7Nl72K9Ej2rQKAGfg1Cx2i2aNjVBI6RunQMYrnhk8c907SruwbBgBT0q9ja6aC+aBjVBI6RunQMRqd173prVq5e2n4VQOA8Ryw0CGaPzpGJaFjlA4do+oJNrUdz751AFCCDlGz6BiVhI5ROnSMJss7HnrSO0l7sm8gAOQ0U6BD1LysY6Rffr/tq9/NZtw7D9y1fN0eXzFT92y95m2lt+vKa3buXnE7NTxK8bE6him2wPVh0mHbfl9quGYxTEo4vnw49Ov2qV/9n8X4CtsmHB7P9htuSQ7P1R/+eOntcRMOSzhelOJwhdHwhcOo56aGeZKEn2v/o9/K2j0cnouv+kVtalNutDxhcRdZLhleBbDovEO0LruFpmUdI7tcnlmnroeZxYK2mNhrpoZHiT027XAVO0ap19NCL3b/LIZJSb3ulR+4b9X9/ljZ7UkStk04PD4M6hRU7RiVjdcqSQ2LRx03dfiL9xc7Rsq0w+IJX+fcjRdmHVcNR+r1z1pa+ok99qTFfTu/BLCgdlg0U6BD1C6Xb9q2Y8XMWmu0WohogeELMM3Yw8fD20r4/3VF76+FSXhf+D4atnABWxwG/X+xejBuih2j4jCpKuLD4e0162FSwtdVJ0cL3Gvv+/RyNWIe42tUZ8TbpPi4hrXYMZt2eFLDos+tzx92GMO20LgIx5dSR9so4evo8/q4Sb2+t4naTM+x/K8WAAvIO0Qbsltom20XXLwtmyHH1qg9WujG7ldSVYo6ooVJqhpT7DSF0f/5gmiaFDtGStPD5Gl6fBXbpmx4yjqDZf9XNcVhKauIeWctlrqn5bLXK5sW9Jg6kD9z7Tt/aN9RzT9ZoQQWwBaLvtCbs1toC18bXY4WKoSQ7sW+vwA6wDtEukT7LVeMyOpo4RO7n7Srbfo0nvY/+rSv1NycfYMBtJY2lenLqk1n6A46RiWhY5QOHaPm87M33sqmNqCF6BB1Gx2jktAxSoeOUbuy9pxz1Ul6evi1BtAEraGoQ8RJyrqNjlFJWOCmQ8eonTl4/FnNl5WD+oJb2zygSwCzQ4dosdAxKgkL3HToGLU/O26+/YdqG/uec1QwMCP6guknPLA46BiVhAVuOnSMuhFvm3Xrz/u+fd+fGX7tAUyLDtHiomNUEha46dAx6kaKbfOeLzyn+blyZzYHADAWfXkOD69iQdExKgkL3HToGHUjZW1zxd/51R/YPEDzeTa1ASPQIeoPOkYlYYGbDh2jbqRq25x93oaXbH7w3HC2AMDpV56PDq+iJ+gYlYQFbjp0jLqRcdvm1i+/4JvafjWbQwA9pTUFOkT9RMeoJCxw06Fj1I1M0zZXfvAf+aY2ftoJvXHG8tjwKnqKjlFJWOCmQ8eoG6mrbc7deOGf2fzi+eFsA1g8L1joEEGWO0apX4wvS9mvuNeVsl+sT0W/TB67f9ykFipNDpOn6fFVbJtJ2mRWv/Q/yee8+sMfj94/TdrwnfK2qWv83PaVF31T27QnjrzIcsnwamV35JdAbdQhOjG8CmSyjpFdLs/4wutbr3nb8vWyx2bRQdp54K5V98UWXrYmu3w99TkmTXGBGxsmJRyG4u26h0mJvc6o++oeX2HbFKcTvX7V4VHnYZIORJhwWMJpRO+X6nyF7+//U+d0nGr7YmY5jhS1Tez9Y+0y7vi5+vBv6NxI+r+tlnHof1x4/cb80qWeRwcJUztlOTm8Cqyw7fzNW1YsTMKZqD2+fL3sseLz6kjsNWMdo9RwxBYG46bYMYoN03UPHlt13yyH6abPnoi2gzptxQXYLMeXt42GRcOk636pxN5jVsPjw5Jq32InoNiG4f/NYhylPnfZY9O2iefK/R9ZMV48sQrmNMOyftNm7ZrxoqWKJ/JLeSi//Jyl2OHRe7vUdeTa1ChtG0Hh8JzK0xTGU1rb2mZ5BnfbV7+b3faFiWagG7dujz7miS2oJ40PS7E648PpM/nwumboPozh88Pbk6TYMQqHyYfH4/fNapjC/y1e1/v4gm5e4ytsm3CB6vFh3PfJL5YOjzpzsQX3OAmHxT+bv9f2G25Zfkzv69U8va8eDyszuq7/89uTxD+3XyrFYZnnd0ptUxw/4XRc9/h5/9fOZK9hiR3Qo/vX55dOm9N0+9vZreFtvy7fs6jTFLonv2wtne/GG2Je5vleo7RpWETDo81l2mzWNMZTWqvaRjO0VLm8LJqpxu6fJj48nkkWmrG14UlS7Bh5mhimYrs0Pb6KbTPJa9e5uSi8Pcnrxip/kyQcT234TnnbNDF+fuGef+6b2rZZJGufIP/FsslSVXFTW6vo8O7iByRk3tHJyKpm3OfPOrHhedbyVAPRsMTuryOPTBANT+z+uUcLlcJ9v2nRTqdNRMMSu3/aHJokedtEH5t3CsPyTsveBqNhid0/TdSxmCh520Qfm3P+V4uGpZjTlnE6R52wxeIdpXmZ53uN0oZh0RFm2r4rtE1cm4ZFaJu01gxPvlBpi1aNpza1DeMprYVt4/2Fh3UH6sOXYCjsEDnaJq5NwyK0TZqqZ63QsoVKa9pF6BglMZ7Sim1z0KLhuzy7BUxBO7Xp5zuAOrRpxgmgn3TkdHFFHxiJDhFmgY4RgLZYZ9E86Vh2C0jwI/+AWWDaAtBG+yyaP+3KbgGGDhEAAMPT0LDFpMcOWOgQAQCwkja1qYN0PLuFhafzb9AhAgBgtOstWmbuyW5hoWikauSqJwwAAMbzuEWVJJajHbfDQocIAID6qIP05PAqukQjbsPwKgAAqNlui4oPOroNAAAAOe2szRYaAACAAv1em8603Wqfs6gnN0++w/M07rHoNeY97AAAYDo6caSW3zdnt8agXlVswe8dgnEPk/NOkKLr49LwfG94ddmNFr3eRdmtaqbtGGkY9BpPWKZ5HQAA0Cz95NZYYp2jKh2CKyx6jqLqSl3C4Rk1DCnTdIzC/6NjBABAD2nh7xUZXY7TGfCKjqJKizpM09JrHRxeHck7QVWT4p8jFHaMvp1fAgCABaeFvzoB6hQVN2VNIuwsKXdYqvL/maYjMu2mNEfFCACAHvIdjT+W3Zo/7wx5B+oSi26r+qRNa+PsXyR1dYzUSazjdQAAQIdMsvCvaxMWAABAox6yeIdF1wEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAIAFtM/yzuFVAACAfnnEonONPWNRp+jh/PYpCwAAQG94hyh02KL7b81uAQAA9NR6izpF6hwBAAD0lleK1mW3AAAAemibhSoRAADoreMWdYaoEAEAgF5ThUhHnz1tUcfoGxYAAIBee8CijtG92S0AAIAeU6fo9PAqAABAf6lT9NzwKgAAwOJT5+fo8OqyXRbdf312CwAAoAfU+fGO0aUWP0fRYxYAAIBe0SH4ey2H8ksAAAAAAACgu+62+KZAjpoDAGABbLXoqC8t3PvCz4s0qTN5AADAAjhi8UrHM5Ytlr6YplOkztDLw6sAAGCedlhiP5aqHZSVDdmtanZbtKlHHQIt2A9YuuTmPCF15sY9E/aknSI/Um59dgsAAMzN71hOWLQgfkF3BH7Novt1BNcoeh09VymeI6grVKH5fYs+w1t1h9lj8c81jkk7Rfqfl4ZXAQDAPGkTlzxlKS7Ef9UyasGuH13Vc/Sjq5t1R0epMqNzGok+jzqKqpD559fnHMc0nSJVpR7Pr3v0i/8AAGAOdKbn4kL8WcuohbE6Dqow6X+1uay46Wlcj4wRbfabBf2avndGqrjdUhw2/2X+4v1KijZV6n9UKdJ5ltxvWnT/ndktAAAwc1rwhj+DUbVT4FTh0P8o6hRMsmO1jlKrGt/EFfL3H5Uy2g9Kz6laHfoNS3HYfL+q4v1KijZTpt5X9xc3bwIAgBnRgldVCdF+QZPuG6TNaDraTK8XvmZXeNVsms2Bk2w+80pRqlM07usBAIAJaaHr1Yi6FsBe/VC6cJi5Ngd6lcf3t5rEJJ0ibTLT/8Q2QXobAgCAOdAPpmrBq008de80rQW+dh5uO+94aL8e78RNshlwmh2tnx9eXUH3//rwKgAAmLV3WrTw1ZFofaPPrXgHyM8XpJ2odTmuSTtFOs+T/k9H/skmi27zMx8AAMxReAj6OIo7EpelCapSlb23jmJ70qKfIwnpyLtJD4WftFPktNO69stSdU0dJQAAMEdaiE+y2UwdgKppgjaDTdNBQT/o3FSc9gAAekonLPTNRTqbc9d+kqMKdcT8jN1AiqYRTnkAAD3m+80od+uOBeNHc/lZt4EYOkQAgGxTgSopi/rjo9psphM80ilCCh0iAMDC09Fbfmg7nSLE6BQU2mwMAFhAOqSemfwrm82cnykacHSIAKAHDlrUAfBffO8jnXgx3Ecq7BSpw6TfKkN/0SECgB7RPkLqBJT9Ivui8pMthudG0j4jfp8umzo1AJqn7wQdIgDoIf1SPQsANp9hSD9w3IXf3wMAzIjOPaQOweXZrX6iUwQ6RACAjO94/DvZrf7xTpHaAf1DhwgAsMpJi3ZC7hP9npn/zIc2JS7qOZkQpxOU0iECAETdbFEHYVd2C1hcfsZ2AACSfHPasewWsHjoEAEAxqKfOOjb5jQsPjpEAICJ7LNoAbI7uwV0mx9tCQDARHxz2vHsFtBNdIgAALV50sKROugiOkQAgNpdb9HCZU92C2g/OkQAgJnR5jRVjB7PbgHtpc47HSIAwMyxOQ1t5h0izlQOAJgLX/CwOQ1tQocIANAYVYxUOQKaptNH0CECADRK+xipc7SIC6On8ku02w4LHSIAQCv4ZgsdpbYo1CHSZ0K7eYdoQ3YLAICWWKTNaVrQKlSL2osOEQCg1XQGbC2ourwpwz+DB+2zxUKHCADQer7Tq35DrSvCTlAqaAfvEOkSAIBO0K/t61f3u6RYJfKgHegQAQA665hFC7Eubk6jM9QudIgAAJ23y6KF2c3Zre6gU9Qe2neIDhEAYGFoc9rJ4dVOoFPUDt4h0tFmAAAsjEcsWsB1YXManaLm0SECACy0yy1a0B3MbrUXnaJm0SECAPTGGcvTw6utRKeoOaok0iECAPSKb05bn91qFzpFzfAOkX4+BgCAXrnUooVg2zan0SmaPzpEAAAYbU57Zni1FegUzRcdIgAAAg9btGBsw29a0SmaL7X39cOrAABAfHPaoexWc+gUzY/a+sDwKgAAKDptaXJzGp2i+aBDBABABUctWmg2sTmNTtHs0SECAGAM2yxaeN6Z3ZofOkWzpfa9e3gVAACM40XLs8Orc0GnaHbUtoeHVwEAwCSOWLRA3ZTdmi06RbNBhwgAgJpstcxjwUqnqH50iAAAmAFtTntueHUm6BTV62WLdpwHAAAz8IBFnZdZbE6jU1QfOkQAAMzBFos6MPdmt+pDp6gedIgAAJizFyzPD6/Wgk7R9PR7dnSIAABogG9O25zdmg6doumoQ/TY8CoAAGiCOkR1bE6jUzQ5OkQAALSINqVpk9qk6BRNhg4RAAAtpGqROjfaGXtcdIrGp07o8eFVAADQNr45TfsbjYNO0XjUIToxvAoAANpMJ3ocZ3ManaLq6BABANAx+okJdXb0UyGj0Cmqhg4RAAAdpbNfq8OjH5ctQ6dotFN5AABAhz1r0e+npdApKkeHCACABXKnRZ2fbdmtlegUpdEhAgBgAW2wqANU/DkKOkVxz1joEAEAsMC0Oe308GqGTtFq2qF6nCP4AABAx6gDNCp9R4cIAICe8c1pdIReQYcIAIAeU6dIv+PVd/rZDjpEAAD0mDpFh/LLS3VHD+mHXekYAgDQc775bL1F1x/ObvUHHSIAAJDxTpF72tKXTgIdIgAAsKzYKZKDFt1/eXZrMel8TXSIAADAslinSHxz2iPZrcWiDtHLw6sAAABDqU6RO2lZpIoKHSIAABA1qlMkN1v0vF3Zre6iQwQAAJKqdIpknUXPPZbd6p7DlqqfFQAA9NC4HYVvWF4aXu0MOkQAAGCkSToL+yz6vy5sTqNDBAAAKpm0w+Cb0/TzGG11t4UOEQAAqGTaToN+RLWNOy8fsNAhAgAAldXRcbjeotfZnd1qHh0iAAAwtro6D9qcporR72e3mkOHCAAATKTuDsSTlqY2p+210CECAAATmUUnwjen7cluzYfeS++pihUAAMDYZllZUcXo8eHVmaJDBAAApjbLTpGoU6TO0aw6LHSIAABALWbdKRLvuGizWp12WOgQAQCAWsyjU+RUMdKO2HXwDtGG7BYAAMCU5tkpEp0Be9rNaXSIAABA7ebdKRKd5FHvq99QGxcdIgAAMBNNdIqcKkb6mZCqtljoEAEAgJloslMk2pymYcg2p73vM3+cGh7vEOkSAACgdk13imSXRcOxr9ApujG/HKdDdEl+CQAAMJY2dIrcS0Gn6J780jtEv57dWu0Ji557R3brrLMustAxAgAAY2tTp8g3nynanKZ9h3RdHSPvJBV9z3JweHVZqz4TAADohrZ2ijw62kxSnSL5mOVzw6uZb+eXAAAAlbW2U7Ru/fmDdee96o+zB8o7RRJ+Dm1SAwAAGEsrO0W/9HunBh/6w8Hgsncd8k7SfZYyYUfoZH4JAABQWWs6RR/4xl98RJ2iN/7i38o6RB57yHO/nmd0Xb+npn2JdL1YRdJ9AAAAY2lFB+LQ/3TmFrsYqFOkjtCVH7hvRcdIOfv8Ddqk9v+15+kIsxSOPgMAABNpvFP0/j/43l+3i8FNnz2x3ClSdDvsFCk799+p4VVSZ7WmQwQAAEbyDsVy3nzT3806Ioua9/7LP37KPicAAMBI6hw14pe/OchOzHj9xx9brgSpIxNWhsqizWlr15/37PDVAAAAptNIp+iX/2iQnZgx7BAp43SKlDe997BXvfiRWAAAMJW5d4ruf2qgs1Wv6hAp43aKlPd84TnvGN2p1wcAAJjE3DtFJtohUibpFHnOuWDTYO3Z5/77/D0AAADGMu9O0eCajxyNdmqUaTpFCpvTAADApObZKSrtECnTdoqU933pee8YsTkNAABUNq9O0cgOkVJHp8izftPmwZqzz/nT/P0BAABKzbxTtLR23eCtf/83oh2XYursFCm7Dt3rVaNN2cAAAAAkzLRTtLR27U+0n0+swxJL3Z0iJdicdjgbKAAAgIiZdYqW1ozXIVJm0SnynH/RFjanAQCApJl0iibpECmz7BQpV33ofq8abc4GFAAAIFd7p2jt2ef+8LJ3HYp2SkZl1p0i5dYvv+Ado3uzAQYAADC1dorWrDv7+5dcdyDaGamSeXSKPK967daBDe9/zAcdAAD0XG2dojVr1700TYdImWenSHnL3Ue8aqQfpwUAAD1WS6doac3av5i2Q6TMu1Ok3PaVF71j9ED2YQAAQC9N3Slas3bdi1t27Yl2OMZNE50iT7457bv5xwIAAD0zVadoac2a/1RXh0hpslOk6Kzb9rEUNqcBANAzk3eKlpb+Y50dIqXpTpFy6KnT3jE6kn1OAADQCxN2ipb+pO4OkdKGTpHngou3DdasXXc6/8AAAGDBTdIpOrVp245oR2LatKlTpASb07ZmnxwAACyscTtFM+sQKW3rFCnv/9oZ7xixOQ0AgAU2TqfIOkR/+SexjkNdaWOnyLPxDZcOltau/W95WwAAgAVTtVN04qd+5rIfxzoLdabNnSJlz0cf9qrRtqxVAADAwqjSKTpx3oWvnXmHSGl7p0gJNqcdzVoHAAAshFGdohPrN21+OdY5mEW60CnyvHr75WxOAwBggXin6In8Uk5avm05ce5PvfoHxc7A1R/++PL1rde8bcVj0ybsFO1/9FvL12/76ncHG7duX74diw/Lvk9+cdVjdSUcptfs3O0VI+VSS4y36435JQAAaCkt0A8Or2bUGZLHlpbWrNqpWp0TdQbC+8JO0rQJO0VXfuC+FY/ZMK24HWbngbtWdNDO3Xjhisfrig9T+Jk1XHketoQesoSdze/llwAAoIV8ge50/bG1Z5/7Q133Bb/n2vs+vao6FHvepPFOUbFDpKTex58bDpc6LQc//53l23UkNkyKD9dFl+0aLK1Z8+d2Wz6WX4adonsslwyvAgCAtskW6sOrGf0o6vfDhb3HOx3z6BTFXjN2X9jxCYfrps+eqLWCpcTeX5UzxW9f9+Cx7HmWyy0Sdor2WNQxAgAALeQLcXnMsryAD6/77TCp502TcTtFPiwedYZ0/zw7RcX7isNkUWdI6BQBANBivuA+etbS0o/UmVC1Q5vJvIOhx8OF/jwqRerQFDsc4ftop+vi5rFZbz4Lh0mX2pym+/x+vX+4k7c2p6lNbbgdm88AAGgxdTa+pIW3L8zHjToFsfsnSdmO1sWo4xa7X5n1jtapbL/hlhW3b/jE8awzZ9HmNHa0BgCgxbTAfrlY/QmjylHsfkVHfcXunzRhp0iHv8c2TyllHaLwsPm6M8kw3f7Nl71jdEwNDgAA2ucBS3RB3lTCTtGiRacyWFpa84Nh0wMAgCZ5xSKZ2MJ8nlnkTpESbE7bZQEAAA07bNGCWaIL76ay6J0ihc1pAAC0Q9ghkuiCu6n0oVPk2bJrT/HoNAAAMCcHLGGHSKIL7KbSp06R8vZPPe5Vo93Z2AAAADMX6xBJdGHdVPrWKVKCzWnHszECAABmJtUhkuiCuqn0sVPkef1bri/dnGZto6MFAQDAhMo6RBJdQDeVPneKlHc89KRXjfynQZapbfKrAABgTFqwjlqQRhfOTaXvnSJFm9PWrF2n8fb4cBQN0SkCAGAy3iFal91Kiy6Ymwqdolfyhl/Yt2JzGp0iAADGV7VDJNEFclOhU7Qy+lFejSPLXjpFAACMZ5wOkUQXxk2FTlE82pxGpwgAgOp2WMbpEEl0IdxU6BSlk3WKhpvTxhm/AAD0jneINmS3qosugJsKnaJ01Dbv/u2TGsfK9dnYAwAAK0zaIZLoArip0ClKJ2yb/Oi0p4ajEAAAyKWWSTtEsmLB23ToFKVTbJtte2/2qhGb0wAAvbfFooXipuzWZFYsaJsOnaJ0Ym0TbE7bl41NAAB6yDtEupzGqgVtk6FTlE5Z26w9Z72mhRPDUQoAQH/U1SGS6EK2qdApSmdU22y/4aBXjdicBgDoBe07VFeHSKIL2KZCpyidKm2z/9GnvWN0czZ2AQBYUN4h0tFmdYkuXJsKnaJ0xmmbfHPayeEoBgBgscyiQyTRhWpToVOUzrhtc9m7DnnViM1pAICFMasOkUQXqE2FTlE6k7TNgd99xjtGB7OxDQBAh2ktf1YdIokuTJsKnaJ0pmmbs8/boGno6eEoBwCge7xDpB95nZXoQrSp0ClKZ9q22XHz7V41Wp+NeQAAOmIeHSKJLkCbCp2idOpom4PHn/WOEZvTAACdMK8OkUQXnk2FTlE6dbZNvjntmeEkAABAe82rQyTLC8p9n/ziigVnlVz5gfui90+a2IJ//6PfWnVfWQ5+/juD27763ehjdaWJYSq2zbTja+f+O71qNOnv5hXdmF+O4578EgCAVbSQOjC8OhfZAvLqD398eWG5cev2bAF+7sYLl+/z7DxwV7Yw9v9T9PzwOdOkuOC/6bMnlq9rGMPbHi3odX84vLHn1RV/bX1uDZPaothJuu7BY9nz9Bx1iML/mzRh24TjS59f7xeOE8+o8fWeLzyXPWY5ZJlGsXNzkUWvW/QxizbdhY9xPiUAwCpaUMyzQyTZwnHrNW9bXlD6dS3ow4VvGP8/Rc8bt3KSSrjgL3a21Kko61ioAxDejnXqpk2qA7j9hlui96uzElaIphmmsG3C8eVJDZsyanydc8EmPWeazWlP5JfuDkvY8Sn6dn4pei4AAMua6BBJ1tG49r5PZwtHXQ87QrGFr/6neP9rdu5ecXvShAt+vU/4WFmnSM8tdjiK/19HYq9ZNkxK2CmaZpi8bcLx5dHrpjZl6rEq4+tN7z3swzzu5jRt6g07Nt5B0mvF6H5VjNwllvA2AKDHtJC4dXh17lZsltLlqE6RoqpMWG3Q64SPT5pJO0WKNlOFFZu6hilM7DVHVcnCzto0w+RtE46vMGWVoqrjK9icdqelKm06833gwn3h9DopYaVIipUmAEAPacFxeHi1Eas6Qr4Q132+P0wx2k8lvF22QB4n03SKFG2u8uvF/68jxdcc1SFSws160wxTWCkKx5enbKf3ccfX+k2bNazPWqpQR8j3KbrCotuKXkO3Y8LKkPY/emh4FQDQV1poNNkhkmwhGFaEtKDX/b6JRgtUX4jqfl0PO0t6/qjOStWEnaLiglvv7cOreOdNz9P9YYcofLzOhMPkw6P45ih/T7Wn7i92XqYZprBtfHxp05y/v2+mq2t87Tp0r3++TZZRYpUe/a+oA/Q9i+98rR2rdd1p01t4GwDQM1o4NN0hkmwBWNxHpZjiTsxh6tqfSAkX/EqxwhGmrEpTpYIzaZoaprBt5jW+3vel571jNGpaHbWzdNmh9xx9BgA99rLlN4ZXG7e8ACxb2KcyauE8boqdIiW1CS8VPT/cuXkWaWKYxukwpjLp+BpuTlv6k3yaSZnkPEWcWRsAekwdoqPDq3Pna/3JxBaI80ysU0SGabptrvrQ/T6dVNmcBgBAqSY7RCnRBWBToVOUThva5tYvv+Ado3uzqQcAgAm0sUMk0YVfU6FTlE6b2ua8i7aoY/T8cBICAKC6M5bHhldbJ7rQayp0itJpW9sEm9M2Z1MSAAAjtLlDJNEFXlOhU5ROG9vmtq+8yOY0AEAlbe8QSXRh11ToFKXT5rZ51Wu3qmP0wnCSAgBgJS0g2t4hkuhCrqnQKUqn7W3zlruPeNVoSzZlAQBg1CE6MbzaetEFXFOhU5ROF9om2Jz2QDZ1AQB6rUsdIoku3JoKnaJ0utQ2F/z0X/qJTVtsTgOAHutah0iiC7WmQqcona61zTUfOepVo63ZlAYA6I1Tlm8Mr3ZKdIHWVOgUpdPFtjn01GnvGB3JpjYAwMJTh0jpoujCrKnQKUqny22zcet2bU57cTjJAQAWVZc7RBJdiDUVOkXpdL1t9nz0Ya8abcumPADAQul6h0iiC7CmQqconUVom/d/7Yx3jNr4kzcAgAlph+pFOLomuvBqKnSK0lmktsk3p50eToIAgC5blA6RRBdaTYVOUTqL1jZ773+EzWkA0HGL1CGS6AKrqdApSmcR2ybYnPZwNjUCADrjKcuinZAuurBqKnSK0lnktrlw+89rc5p+KxAA0AH6HbNFnGlHF1JNhU5ROoveNsHmtEuzKRMA0EqL2iGS6AKqqdApSqcPbfPBr7/E5jQAaLFF7hBJdOHUVOgUpdOntrnosivYnAYALfOblkWfMUcXSk2FTlE6fWub6x485lWjy7MpFQDQGJ1c7uXh1YUWXSA1FTpF6fSxbYLNaY9kUysAYO760iGS6MKoqdApSqfPbfOanbvVMWJzGgDMWZ86RBJdCDUVOkXp9L1tbvjEca8a7cqmXADATB229KlDJNEFUFOhU5QObTMY3P7Nl71jdCybegEAM6EOkWa2fRNd+DQVFvzp0DavZMuuPfquvjSchAEAdeprh0iWFzTX3vfpFQueKrnpsyei90+a4oJ/3ye/uOJ2lVz5gfui99eVpoap2DZtGF9hJmmXg5//TvT+Knn7px73qtHubEpe6Yr8sqpLLBcNrwJAf/W5QyTZAmbrNW9bXthop9bbvvrdFfcpWghf/eGP6xfOB9tvuGX5/kkWhqmEC369l1/XwtyHtRgNpzod4eMaxvA5dSUcptj7lj027TCFbePjZv+j38raX7d1CLs/rsxjfHnCdlH0nsUOWGx4NJ1N0zEKNqcdt7g9+aV8znKPpdhJ8vu/Z7lDd5jw/wCgdw5YNEPtsxUL03Dhee7GC5evF6P/8+tlzxs3sQW/J3zPWMLnq7OghI/XkeIwpe7z1DlM3jbFzo+ijkXZa89qfCk7D9y14raGT52fsqpUODyjxmuV5JvTtD/gty3uoOWkRVWgMuoYufA6APQGHaKh5AKqbGEfVhu0UNQaf/j4pPEFvxaoxc1D4bDFUqzEqOIV3p42sWFSyipAdQ6Tt02xHTSedF9ZxWVW40spDo9ee1SnKByesvYbJ+946MlsWCzFzWnqKKU2p2mTWdhp0v8DQK/QIXrFioVaeD3VKSpuKhm1ABwnvuCPvWY4bMXEqiRlz58ksWEqq87UPUypTpEndf8sx5cSvq/vO1X2HsXhKet8jxsNy9KatfqJkMctoSfyyyJVk0J6DQDojZstzPhesWKhpk0fvjAL7/fEKiVaEE6zX0iYsFJUXHjGhkdJdUzqqkB4isM0bodImWaYRnWKYq896/GlhMOjNlJUjYq9d+y+Oit6Piyvf8v1uh6eXiO2v9CN+WVI/wcAvaAZIzO9lVbto6IFmvY78U0suq7OgC71fI8/fx77FOn9w/fV5hd1AnQZDpMPszol3rmrMz5Msfed9TB524Tjy3fmDvfrmef4UsL39uj9/bPqvXU9NTzh9WkTdgzzs2Arv2xxvs/Q8nDkcexTBKAXvEO0LrsFt7wA8YVJLL5gj0WdgNj9kyTsFMWqCmFiC2NP3fsTeZocprBt2jK+PL7ZLJayYdFjdVatlOLnK2xOKztUf9zD+AGgk+gQpS0vPGJHNY1K3dWYcMGvTLIAH9VxmTZNDVOxbdowvsJM8tp1d4g8xdd9wy/s0/dfm9NS8wDOUwSgFy630CEaUjusyJtv+rvZwpYQEs8tD5/aZt8VAOi8HRYt/DdktxCzYo266WghFLuf0DZ1Jd+c9uRw8geAfqBDVE10wdFUWPCnQ9vUl217b9a8oWxzGgAsDDpE1UUXGk2FBX86tE29efdvn8w2IVv2Zd8EAFhAWyx0iKqLLjCaCgv+dGib2STfnHZi+HUAgMXhHSJdoprogqKpsOBPh7aZXbbfcNCrRmxOA7AQ6BBNJrqQaCos+NOhbWab/Y8+7R2jd2bfDADoKDpEk4suIJoKC/50aJv5ZM3Z5/zYvhf6dX0A6BztO0SHaHLRBUNTYcGfDm0zv7A5DUAXeYdIR5thMtGFQlNhwZ8ObTPfHPjdZ7xjpB+RBoBWo0NUj+gCoamw4E+Htmkm69afr81pTw+/LgDQPnSI6hNdEDQVFvzp0DbN5bJ3HfKq0frsWwMALaFt/HSI6hNdCDQVFvzp0DbNJticdjD75gBAw7xDpF+9Rz2iC4CmwoI/HdqmHWFzGoA2oEM0G9EZf1NhwZ8ObdOe7Nx/p1eNVp05X+MpvwoAM0OHaDaiM/2mwoI/HdqmXTl4/FnvGB3Kvkk5OkUAZk0zGc4yOxvRGX5TYcGfDm3TzuSb054Zfp3oFAGYLc1gDgyvYgaiM/qmwoI/HdqmvXnTew9rPqVsoFMEYFboEM1edCbfVFjwp0PbtDvv+cJzWceIThGAWaBDNB/RGXxTYcGfDm3TjeSdomeHXy8AmJ5mKoeHVzFj0Rl7U2HBnw5t041oPL357/xqVjWyrDo6DQDGQYdovqIz9qbCgj8d2qYb8fH0vi897x2ju7NvGgCMiQ7R/K2aqTcZFvzp0DbdSHE8nXPBppfte/bc8OsGANVoxkGHaP5WzMCbDgv+dGibbiQ2nnYduterRpuybx0AlFCH6OjwKuZs1Qy8ybDgT4e26UZS4ynYnMbKH4AkOkTNis7AmwoL/nRom25k1Hha/1MX/dC+d2xOA7AKHaLmLc+sb/rsiezytq9+N1ujvfa+Ty8/FubKD9y3fF3P3f/ot1Y8Pk2KC5St17xt+fp1Dx5bHsZiio+F/1d3/LUPfv47WTul3kvDc/WHP758e9phKraNf16NJw3Hvk9+ccXjnlmOrzDFcRNOW2F2Hrhr+braUMMUPj5t9Hrha2o4UsMSjpNU+42bcDylXvOqD93vw7XZUvSx/BJAj5yx0CFqXjaT9svwuha2Wmj5/Z7iwj1c8E+bcIGijk74mBa6xQVv2WN1DpcnHCbvXKidwgV9mOIwTDNMYduE46vsPmWW48tTfG+1R2p4ivdP21ks5jU7dy9fH/XaxWE5d+OFK25PEh9PxXbWa4edpFu//EL2/pb/i+XbllDxNoAFpg7RY8OraFi2Vu0zcHUswspCbKESuy/VKRg3ZQv+cTtFxf+vI6nXLHbgPMUF4zTD5G0Tji+PbqcqQLMcX0pxeLwjnfqssfGaar9xo05HOB145yz1+sVh0eeIrQiMEx9PYbuXdbbOe/Vrf2DD8ZIldEUeAAuODlG7ZAsCX5DoMlzAVe0U6XWK902SLnaKtt9wy6r7PGFbKtMMU1iBKH5W3U699izHl1IcHr+eeo/Y/bFhnCSp10l1SorDomEvjrNxo/Gk1wk3P2/cuj27VBUr1nn9qZ+5LBsWyxaLO5lfAlhQdIjaZ9VCzRcsqQUEnaJXboebQ2Iptt80w1TWKfL7i/cp8+wU6b302p6q7x173iRJvU6qbYrDos+Rem7VaDyFbVJ8zdgw6r7bvvKit9sDFtF1AAvqBcuTw6tokWymHG4y87Vqv9SCP5yRa2033JFVmcfmM20CCRcu4ePFx4qP15XwNVUJ0HsqXi0KH9dmmOICcJphCtvGx5fewz+370szz/HlCacfj39Wb6Pi/R51GurafKbX8o6qKjIaR/rs/vpqF39cKQ6LhrOOzWfFjpC/TzgsYcLxlW9O0/yS/YqABaUv+InhVbRMNiP2y1TCGXwx4WaCaRMu+KddUJYN86RpcpjKOozFzGt8eUYNT9kmxrLHJkm4o3UsZe9Xtu9P1fh4Cjs66qCpjbzzqI6Zb1JTB0qPhW345r/zD/y+cHMagAVAh6jdlmfEqQW+ZujFSkOY1A6+kyRc8CvFSkuYsg5K3ZWQME0NU7Ft2jC+wqSGJ6zMFKPhLBvWSaLXS33Gsg5hXe3i42lU57NselDH7tBTp71jdCT7pgLoPDpE7RedKTeV4oKfvBLaphsJx1NZhzCVYmfq/M0//X37nr44/LoC6KpTedAevua5nDff9HezmTghpGv5I86KDXQEHaLuWLFW2nQ0s4/dT2ibrmRW4+n9XzvjKzNsTgM6hA5Rt0RnwE2FBX86tE03MuvxtOF1b9DmtNPDry+ANtPJxugQdUt0xttUWPCnQ9t0I/MYT3s++rBXjbZl32IAraMdqrVjNbolOtNtKiz406FtupF5jadgcxq/IQm0DB2i7orOcJsKC/50aJtuZN7jaeMbfla/m8bmNKAl6BB1W3RG21RY8KdD23QjTYynvfc/4lWjS7NvNYBG6HfM6BB1W3Qm21RY8KdD23QjTY2nYHPaw9k3G8BcqUOkH3hFt0VnsE2FBX86tE030vR42rRtx1/Y95p5MzBHdIgWR3TG2lRY8KdD23QjbRhP+skVfbctl2ffcgAzQ4dosURnqk2FBX86tE030pbx9MGvv+Qdo0eybzqA2unQTx3pgMURnaE2FRb86dA23UjbxhOb04DZUIfo5eFVLJDojLSpsOBPh7bpRto4nm74xHE2pwE1okO0uKIz0abCgj8d2qYbaet4uv2bL3vH6Fj2zQcwETpEiy06A20qLPjToW26kbaPpwu3//yf2/ee3SCACRy2aM0Ciys642wqLPjToW26kS6Mp2Bz2q5sLgBgJDpE/RCdaTYVFvzp0DbdSFfGE5vTgOroEPVHdIbZVFjwp0PbdCNdG0+bd1z1ZzYfYBcJIOF2Cx2i/ojOKJsKC/50aJtupIvj6e2fetyrRruzuQKAzAELHaJ+ic4kmwoL/nRom26kq+NJm9OWlpZ+ZPOE48NZA9BvdIj6KTqDbCos+NOhbbqRro+n1735mv9m8wU2p6HX6BD1V3TG2FRY8KdD23QjizCe3vHQk745bU82lwB6RBM9HaL+is4UmwoL/nRom25kUcZTsDnt8eGsAlh83iFal91CH0VniE2FBX86tE03smjjacuV1/5Xm0+wOQ0Ljw4RJDojbCos+NOhbbqRRRxPN332hG9Ouz6bawALhg4RXHQm2FRY8KdD23QjizyelpbW/NjmGU8OZx3AYthhoUMEtzzDu/a+T6+YAVaJ1iBj90+a4gJl3ye/uOJ2lVz5gfui99eVpoap2DZtGF9hJmmXg5//TvT+abP/0W9F709Fw3HbV78bfWzchOOpTeOorvHz03/lr52x+YY2p027DLkjvxwHO36jVt4h2pDdAvJO0dZr3rY803vNzt3ZAiK8r+yxSWa2qYQLlKs//PHl616+99thNm7dng3TuRsvXHFf+Jy6Eg6T2kCdndhwzWKYwrbx9tfCX+2v29c9eGz5cc+sx5cnbBdFnzW2cC8Oj67X3TEK33f7Dbdkw1bsJOl9dx64K7vfh72uzoiPp7DN9X5qk9hnncc48s/o7aGE06an6vh592+fzKZ7y6Sb076dX8pD+aVer+h7hUu5Mb8EpkKHCDErFqaaafr14kwz9Vhs5jppYgt+j4Y1vO3x54ULOF0vLgjrSHGYRt1X5zB528Q6P1pwFV97HuNLUecivK3h02cudjJSw5Mar5Mk7HhqOLSQjy3UU+9fR9toPBXHUWwaUeYxjorjx1OsXk4yfvLNaScs47jE4hWfiyzeKQo7SqJKkj/vc/mlhB0kYCJ0iJCyYqYXXi/OyFOPaaarNUq/PU18wa8FanHTQ/j+Hj3POx1KOFxaIPr1OhIbJqVYAZrVMHnbFNtBr6/7igv/eYwvpTg8eu1Ypyg1PNNW0MIUh0XR6xc7jOHzUtcnjcZT+DrqbKiTpHYpvn54e1bjKPaZiuNGSQ3LqPHz+rf+TR2dpv+vujntifzSqfOj/y8Kn3ePxTtI6kSpMwVMZItFExwdIsSsmBmG18MZY9ljsQXgpPEF/6iFqqesAxJ7/jSJDVOs8jOrYUp1ijzF+8PbsxpfSvg+Xn0YNf7C4QmvT5tU2xTfI3xe6vqkKXaKwutlwzGrcRT7TLFKVGpYqoyfYHPaPssoel5InSJ1cor3pzpF4XVgLN4h0iUQk83MfOamNVqfGYf3lz2mBWFsE8Uk8QW/3ifsWCjF4fH4DF7PD4ejzgqEUhymsk1hsximUZ2i4mvPY3wp4Wvr/RRVOopVtdTw1FnRS7WNv68nrMSE/5P6/3FS7BRpGtiX7yNU/KzzGEexz6T3jd037fhZWrP2h/a/ozanhZ0ddW60OU3U2Qnpfr8v3GT2MYv/D3IaaW3R1mFpQ4eI8RTXqmEpziC1wNBC3Rcauu6dgeJj/rhfnza+4FeKa84aVkW3tZDxToA6J7o/XAjrvuKCcNz4e4XxYdL7+/Aoao9ZD5O3TTi+tPDU+2i8+H3zGF96T78evrdH7x8uYP16bHjC15ok4f+HHUONq/C9lfCz6/FiR7KOttF4in2nNCze0dH7zOM7pfcsjp/isIVtVMf4+Zlr3/Vf9D+W4uY03SfhPkWi/YX0mB+Npg6Qd4Z0qcfCTlAn9ilab7lzeHUuvHHboI3Dstmi601XiBhPca0aFs3IRq0NhjPJYvbVeKRM2CmK7b8TpjizD1NH9cHbJkyTwxS2TdPjq9g2vtkslrJh0WPTVkSKw1L2+cqqe2WPjRMfT234TnnbzHv87H/06ey9LTdbnG775b8fXk0q22eo1UefqTP0gkUf8gHdMSfeuG3QtmHRvkO63KY7GsZ4imvVsPiMrLgGWSXTVD5iCRf8yiQLh1Edl6oJ2yZMU8NUbJsmx1esbSZ57To2EcWGZdzX1fPLOgfjJBxPTX+nwrZpYvysWXf2920YTlrE53vZcOUZt9/Q2n2Jws7QpB9uGnq/tmjbsCg62qwNZt026vhVjYYldn8TSQ3L3gYy2H33kX9aJXs++i9+a5xc8386+q/efOuv/OtR2X3HPz7h0QIlvD1xfvnBk1cf/menpona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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = listIntegerPoints(inequalities)\r\n  y = x;\r\nend","test_suite":"%%\r\ninequalities = [\"y \u003c= -3/4x + 6\";\"y \u003c= x + 4\"];\r\ny_correct = [0,0;0,1;0,2;0,3;0,4;1,0;1,1;1,2;1,3;1,4;1,5;2,0;2,1;2,2;2,3;2,4;3,0;3,1;3,2;3,3;4,0;4,1;4,2;4,3;5,0;5,1;5,2;6,0;6,1;7,0;8,0];\r\nassert(isequal(listIntegerPoints(inequalities),y_correct))\r\n\r\n%%\r\ninequalities = [\"y \u003c= -x + 5\"];\r\ny_correct = [0,0;0,1;0,2;0,3;0,4;0,5;1,0;1,1;1,2;1,3;1,4;2,0;2,1;2,2;2,3;3,0;3,1;3,2;4,0;4,1;5,0];\r\nassert(isequal(listIntegerPoints(inequalities),y_correct))\r\n\r\n%%\r\ninequalities = [\"x + 3*y \u003c= 9\"; \"x + 7*y \u003c= 14\"; \"x + y \u003e= 5\"];\r\ny_correct = [4,1;5,0;5,1;6,0;6,1;7,0;8,0;9,0];\r\nassert(isequal(listIntegerPoints(inequalities),y_correct))\r\n\r\n\r\n%%\r\ninequalities = [\"x - 3*y \u003c= 6\"; \"2*x + y \u003c= 14\"; \"x + y \u003e= 5\"];\r\ny_correct = [0,5;0,6;0,7;0,8;0,9;0,10;0,11;0,12;0,13;0,14;1,4;1,5;1,6;1,7;1,8;1,9;1,10;1,11;1,12;2,3;2,4;2,5;2,6;2,7;2,8;2,9;2,10;3,2;3,3;3,4;3,5;3,6;3,7;3,8;4,1;4,2;4,3;4,4;4,5;4,6;5,0;5,1;5,2;5,3;5,4;6,0;6,1;6,2];\r\nassert(isequal(listIntegerPoints(inequalities),y_correct))\r\n\r\n\r\n\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":8703,"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":"2020-10-03T11:21:30.000Z","updated_at":"2020-10-03T11:21:30.000Z","published_at":"2020-10-03T11:21:30.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Feasible_region\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eAbout feasible Region\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. You will be provided constraints as string. There will be always two more constraints as follow;\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\u003ex \\\\geq 0\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: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\u003ey \\\\geq 0\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\u003eList all of the positive integer points in the feasible region. Assume bounded feasible region.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"711\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"1163\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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ceLe8sBAAAAAIASxT2L/HxFRy36taq/OP81F69a6ddtnYsmvC+M730URucl0mvqerE44ode6ZC18P42JLZnkYY1vK+YqsUife5iOyn6X7WXrhcLKSrC6XHtYRTe30RG7VlU1gY65GxUkcgTttNVH3pgsG79edlr5/kji6ZbHZYW0h5FerzK+Y8AAAAAAECueM6i7NfNzlpa+tF1D37uJV9ZV4FCxSE95kWMcGVehxDpkKOyw47Kigd+zqKqxYN5plgQGXUunqz9goSFNv2vPqfasmzPoOL/hdGeSKnH5p2yYlGqnbxoGEt4KJqep3ZKfVYdplb4f03L+oU+p/MVpfY6AgAAAAAACV4s+nJ++ZM3ve8jfxZbOR8VncR6kkOj9H8qDMQea0NiBREVtTTMxT2kqkZ7UE1SGFNRrU3ndSorFinTtpM+b6ooF+Y9X3huuQiVH6b2WxZ+DQ0AAAAAgAl8w6KV7B/vfeB/+N995Vsr6ZOu4FeNXl+HUrVxb6IwZQURDfs4h1NNGhXU2nDYWTGjikWeebbTm2/9lfD8Rt+xy10WAAAAAAAwwmFLViTS5VUfuj+68k2qF0T6mDa3ze3ffHnwpvcezopGeY5ZwsPUAAAAAADonXBFOZk33/R3s5V+Qvqe9/7LP/JfWQMAAAAAYOH5nkSKrrsHLOxZVBIVEWL3k262zds/9fhg/abN2XchP0xtt74IAAAAAAD0RapI5CgWjQjFonS63DY6TG3XoXv9u6Ect2yyAAAAAACwkA5YXrZoJVgFoRSKRSNCsSidRWmb933p+cGWXXuGRaOlpR/ZZaywCgAAAABAJ4VFoqO6YwSKRSNCsSidRWybdzz05OD8i7ZkhaOlNWv+nV1ymBoAAAAAoJPGLRI5ikUjQrEonUVuGx2mpu/FmrXrhnscnXXW71s2WypR2+RXAQAAAACYq32WSYpEjmLRiFAsSqcvbXPrl18YvP4t1w+LRsPD1O7Vl6cMxSIAAAAAwLztsZyxaIX0Md0xIYpFI0KxKJ0+tk3hMLU/tUt9F1ehWAQAAAAAmJdikWidZRoUi0aEYlE6fW+bt9x9JDxM7XHL8mFqFIsAAAAAALNWd5HIUSwaEYpF6dA2w9z2lRcHb/iFfcOi0fAwtQcoFgEAAAAAZmWH5bSl7iKRo1g0IhRE0qFtVuemz54YvOq1W7O2WVqz5j/Z9+v67JsGAAAAAMCUVCR6waIi0QnLBsssUCwaEQoi6dA26ahtCoepPWnZYgEAAAAAYCzzKhI5ikUjQkEkHdomnbBtDj11erBt783DolF+mJql7r0EAQAAAAALZt5FIkexaEQoiKRD26STapt3//bJwQUXb8sKR0tLa/6zXe7TFxEAAAAAAKfDUk5Z5l0kchSLRoSCSDq0TTpV2uaajxwND1PT93+rBQAAAADQU2GRSJdNncuEYtGIUBBJh7ZJZ5y20WFql1x3wItGyhELh6kBAAAAQE+0pUjkKBaNCAWRdGibdCZtm/2PPj3Y+IZLs6JRfpjaO/VFBQAAAAAsnrYViRzFohGhIJIObZNOHW2z56MPD9aes973Njpp2WYBAAAAAHSczkGkc5FoZe9ZS1uKRI5i0YhQEEmHtkmnzrZ5/9fODLbfcNCLRspRC4epAQAAAEDHhEUi/cqZfu2sjSgWjQgFkXRom3Rm1TYHfveZwau3X54VjZaWlv6LXd6sLzIAAAAAoL26UiRyFItGhIJIOrRNOvNom733PzI4+7wNvreRDlO71AIAAAAAaImuFYkcxaIRoSCSDm2TzjzbRoepXfauQ140Uh62rLcAAAAAABqg84Y8ZtEK2hnLLkuXUCwaEQoi6dA26TTVNuFhamctLf2ZXR7UFx0AAAAAMHvFItEeSxdRLBoRCiLp0DbptKFtrnvwWHiY2tMWDlMDAAAAgBlYlCKRo1g0IhRE0qFt0mlT23zw6y8Ndu6/04tGyiMWHToLAAAAAJiSVrAWpUjkKBaNCAWRdGibdNraNgePPzu46LJdw6LR8DC1Q5oRAAAAAADGc9SilauXLQd0xwKJFot2HrhrcNNnT6y477avfnew/YZbspXMczdeOLj2vk+veDwVvc5rdu5e/r+rP/zxFY/76+5/9Fsr7m9Lylb6Nexbr3lbdll8TIcA6bFiO6ai17jyA/dlbaS20v8W2+Tg57+TfL8mUrUgEmsnfRafnvzzVm0rTXsbt27P/k+X+z75xRWPt6Gdytom9v0a9ZlSmeb7VThM7RnL5ZY2eMhSVpDXYxrmKkX7Oyzftuj5urzRErrE8oTlouwWAAAAAIywyEUit6JYpJVs3S6uZGvltni/Vm51n/4nfG4YrYyGt/X/+p/iCq2i+7SCX7y/6aRW+vXZtJIee0zRSrw+a5UCiNqw+DwVjvT/4X0etVOsDeedKsWiWDvpvmLxwqcnTWvh/cUUpykVVVLt3GQ7xdom9f0a5zOFKf7fpN+v27/58uBN7z2c/W+epg5TU+FG719WuFEh6XMWPW9Usah4cm8VilL/p4LRPcOrAAAAALBaH4pEbrlYlFrR9KKHihfh/Yrur1Lg0Wt70aC4ghtGrzeqWDDvxFb6q6zMe7uNWuEvRkUUtYHatVhU8Phrl7XlPDKqWFS16OEZ5zOp8KJpVdNUaq+0Jtup2DZlhRxPlc8US53fr/d84bnsdfTcs5aWvm+Xd1rmQQUivW+qYKNCkgpFoufouVX2LBL9r/7npOUK3RHheyvx63EAAAAAVvhVi1YW+lAkcsvFIq2k6npxxd5XuGMrubq/SrFI0Yqw76GkldHYc/Raejz2WFOJFUSqDKe3W9VCSRit8PshSSq4xJ6jx6q2/awyqlg0zvic5FBEta2/R6yYqTTVTsW2SX2/iqnymWKZxffrhk8cH5xzwabsfyzPWnZZZqWsAPQxS3j/uMUi0XO195D+T68Xo8f0HAAAAAA467BFKwmKrvfJyGKRonOhFFe49Tw9P1ZEKov/n1Zui4+NuzI7jzRRLPLofVJ7gui1i+Nk3qmjWKRi2LhFomI0Daq4FnusqXaatFjkKftMZZnF9ytymNoxS92HqaUKQF7gSWXc4o7eR+cuipnk9QAAAAAsmD4XidyKcxbpemxvBh3mooKRFy60Qlo8ma5W+otFJe0tov/xYoD+TyvAqeKA3j9VHGkqsYKIr5DrMxcf82jvID0nVkzzwoE/ptdRu+l/1NaK2iHVFv7+ZYcczSOjikVl7aRzFGn6UBuE0X36Pz1Ht8N2UgFE7aTbXgzR62hPGrWZv7anyXaKtY2Gpfj9qvqZ1IZt+H6970vPD7bs2pO91gwOU9Prpvb6CcUKS36fLsVPXK3bui462bUORYudE0mvpf/nMDQAAACgpygSvaLSCa7HiVZ6J9lTRCvI4YpwW5IqiKgAkTrcp2q0sh+7f1S8yBJ7bJ4ZVSxS+tpOsbZZtO/X2z/1+GD9ps35vHTpT+xyt2UaVU5wPYpOfj0J/Z8XmgAAAAD0iM5DpPMRaWWk70Uid8gyuOxdh1asBGrvg3H3xtAKrFZIJ1kR1t4Wk6wAzyNlBRF9Vq2Ajzvs2ktkkr1d9H4aN9MUG+pMlWKR0sd2KmubRft+6TC1XYfuzYtGWY5bNlkmpRNZj7uHj37pbJK9glSY0vtNU6ACAAAA0EFhkUi/dIZXRItF5JVULYj0MbRNOn1tGx2m9vq3XO9FI813VxXmrW20RyMAAAAANKLvRSJfYSvNm2/6u9mKLSGEzDo2z1GxKLsEAAAAgHliT6Lq2LNoRLRiG7uf0DZloW1eiQ5T03nRltauywrUebFos2ZAAAAAADBr+jWbMxatiDysOzASxaIRYaU/HdomHdomnlu//IIXixQV9e+1AAAAAEDtwiLRY5Z1FlRDsWhEWOlPh7ZJh7ZJx9tGP/X/qtdu9cLR85bwp/ABAAAAYCIUiaZHsWhEWOlPh7ZJh7ZJJ9Y2b7n7yPJhapYnLVssAAAAAFDZWy0UiepBsWhEWOlPh7ZJh7ZJp6xtbvvKi4M3/MI+LxrpMDX9chrzeAAAAABJOywvWLQSccLCCsT0KBaNCCv96dA26dA26VRtm8Jhapr3X28BAAAAgEyxSLTBgnpQLBoRVvrToW3SoW3SmaRtrvnIUQ5TAwAAAJChSDR7FItGhJX+dGibdGibdKZpm0NPnR5s23uzF42UIxb2MgUAAAB6QFuMKRLNB8WiEWGlPx3aJh3aJp262ubdv31ycMFP/6WfaB5medGyzwIAAABgwahIdMqijr8uOcxg9igWjQgr/enQNunQNunMom0Kh6lpI8NWCwAAAIAOo0jUHIpFI8JKfzq0TTq0TTqzbJv3f+3MYPsNB71opHCYGgAAANAxFImaR7FoRFjpT4e2SYe2SWdebbP/0acHG7du98PUTltutgAAAABoKZ2DSIcJUCRqHsWiEWGlPx3aJh3aJp0m2mbPRx8erD3nXC8cnbRsswAAAABogbBIpBNY69fO0CyKRSPCSn86tE06tE06TbaNDlP72Rtv1TLIc9TCYWoAAABAAygStRfFohFhpT8d2iYd2iadtrTNgd99ZnDh9p8PD1M7YAEAAAAwYxSJ2o9i0Yiw0p8ObZMObZNOG9tm7/2PDNad9yovHD1tudQCAAAAoEbapf8xC0Wi9qNYNCKs9KdD26RD26TT5rbRYWqaH2q+mOdhy3oLAAAAgAmFRaIzlj0WtBvFohFhpT8d2iYd2iadrrTNL/3eqcFFl13hextpmXbQAgAAAKAiikTdRbFoRFjpT4e2SYe2SaeLbXPdg8eKh6ldbgEAAAAQQZGo+ygWjQgr/enQNunQNul0uW0++PWXBjv336llnucRi87PBwAAAMDo54bVUX7Zsld3oJMoFo0IK/3p0Dbp0DbpLErbHDz+bPEwNc1PAQAAgF4Ki0T8zHD3USwaEVb606Ft0qFt0lnEtrnhE8cH52z4KS8cPWPhMDUAAAD0AkWixUSxaERY6U+HtkmHtklnkdvm9m++PHjTew9rWek5Zql0mJraJb8KAAAAtN4RC0WixUWxaERY6U+HtkmHtkmnL23zni88N3jNzt1eNHrJcqcliWIRAAAAuuCwxTu5pR1cdBrFohFhpT8d2iYd2iadPrZN4TC1Zy27LCtQLAIAAECbhUUiXcdio1g0Iqz0p0PbpEPbpNPnttFharsO3evLWGX5MDWKRQAAAGgjikT9tKpYdN2DxwZXf/jjK1ZwlCs/cN/g3I0XZtOIrt/21e+uek4x19736cHGrduz/9H/6nWL/6fX0nuG97UpZSu2Ow/cNbjpsydW3a/79FisHWNRm4TtqzYrtomes/2GWwb7H/3WivubTNWV/mI7Vfm8sXSpnVJtE/t+qW38cCX/noSPp9LV79ck3ymPHtPnLXuOZ1T7ND2tvO9Lzw+27NqTDZ/l5ZJi0UWWJ/LLIt3vr6Hodhm9xscs37Po+d+2HLSELrGk3g8AAAA9cavFO5kUifpnRbFIK1b7PvnFFSs0WtHUc8L7tXKl+8pWQrWSGt7WipmvuB38/HdWPKYVP63MFVd025DYiq2GX5+jbHj1eJWVfr2WVmrD+7x91V7h/Ypec+s1b1t1fxMZVSyKtdO4n9fTtXaKtU3q+xXeVltVmXa6/P2a9DulQpKKO3reqGLROO3Thu/U2z/1eNYuGj7Lc5bdFlEh5+Tw6irjFnRUBLpjeHXZFRa9p4pGRXr9e4ZXAQAA0Bc6WbVOWq1Oon7pDP20XCzSng2xFSY9rseK9+u5eqx4f1m0UpYqCOj1Uo81meKKbdWV+SrPKYvaQyvHscf02qnH5pmyYlHVdvKUfd6ytLWdim2T+n551F4qHOl5k+4J1JXv17jfKRV3fDzqOXpulT2LiilrnzZ8p9Qufpja0pq1fn4jZZ+lSEWkhywq8ug52lOouIdQVSoK6bWK9lj02pO+LgAAADqEIhFCWbHoDX/17dlKSWxlTffHVnJ1nx4r3p+KVu7KVsamWQmcZYortlWHM9WeVaL/KysYjNv2s0pZsWic8Tnq86bS5nYK20ZtUGV68KKInhsr0JalS9+vcb5T2kMovH/SzzGqfdrwnSq2y8W792bDlEfL7bK9f7XXkApGsaJPGe05VFYM0nuPOrQNAAAAHUaRCDEji0V+2Efxft0XKyIVo70GiocPxdKmldkw8ywW6bCqfYXDlGJZlGJR1c9bTBfaaZJikcefXzxcKpYufr+qfqd8/KVS5/ynDd+pYruEw/SOh54cnPfq1/44/+zPW7TXT5EKP58bXh1Jh5/dOLxaSu9HsQgAAGABqUN5xqIOH0UiFOnwhsHr33J9tmKS2pvBH9OKl1Zgi4fU6D4d3qH4Cq4u9RytCIbRngKxLfx6blsOkwkTK4iozYrnRAmjz67nhG3kUZFD548JH9NKcqyt1E6xFV29dtleEvNKWbFISbVTlc/b9XaKrfjHvl8qxmoYVQDTbX1GfQ/8trJo369JvlMefUY9NywsxaaVcdunDd+pYrvoM2q49Pn8Ph2mtnP/ndn9eb5iucyik1YX9xBS8UjPCc87pD6Bn4sojPZIKp7PiMPQAAAAFlBYJHrMss4CFO21DC6+am+2IqKVyXDFZNxo5abKVvxitGK8aCe4HhWtuIYFgapR+4YrxU1mVLGoz+0Uaxu+X8PwnYon1i5+Hqvi/cptX3lx8IZf2Je1m0V7Dt9riam6t1GR/i8sNAEAAKDDKBJhHCuKRYpWTsbdwq4VPa1w6TL2eFn0fpOcr2ZeKSuIqJ3GHXatzKqtJlkp1l4Rk6wMzyqjikWePrZTqm34fvGdSiXVLvpcKmaVDacKiee/5uLwMDXN23WY2SR7BekX1rSnET+dDwAAsAAoEqHItzhPnAsu3hZdMelTqhZE+hjaJh3aJh3aJp662uUtdx8Jf03tScsWCwAAAHpmh+UFizqFxy0UiTCOVXsWkZVhxTYd2iYd2iYd2iaeutslcpjaAxb6CAAAAAsuLBKdsGywAOOiWDQirNimQ9ukQ9ukQ9vEM8t2efdvnxxs2PKGH2l+b1Hf4XoLAAAAFghFItSJYtGIsGKbDm2TDm2TDm0Tz7za5ZqPHA0PU1M/YqsFAAAAHUWRCLNAsWhEWLFNh7ZJh7ZJh7aJZ97tcuip04Nte29Wn8JzxMJhagAAAB2hE1Oesqgj94yFIhHqRLFoRFixTYe2SYe2SYe2iafJdikcpvaiZZ8FAAAALRQWiXTJr5lgFigWjQgrtunQNunQNunQNvG0pV32fPThwZqzz/Gf4ecwNQAAgJagSIR5olg0IqzYpkPbpEPbpEPbxNO2dnn/184Mtt9wUH0Rz1ELh6kBAADMmQ4vo0iEeaNYNCKs2KZD26RD26RD28TT5nbZ/+jTgwte/0Y/TO205WYLAAAAZkhFIu3mrQ6YTmB9qQWYF4pFI8KKbTq0TTq0TTq0TTxdaZfCYWonLdssAAAAqEmxSKRfOwPmjWLRiLBimw5tkw5tkw5tE0/X2kWHqV32rkPqw3g4TA0AAGAKFInQJhSLRoQV23Rom3Rom3Rom3i63C4HfveZwYVv/Dk/TO2M5aAFAAAAFWhr2+9bKBKhTSgWjQgrtunQNunQNunQNvEsSrvsvf+Rwbr15/thak9bOLweAAAgQkWixyy+tW2PBWgLikUjwoptOrRNOrRNOrRNPIvWLjpMbef+O9X38TxsWW8BAADoNYpE6AKKRSPCim06tE06tE06tE08i9wuB48/O3j1pW8KD1O71VKZtc0D+VUAAIDOokiELqFYNCKs2KZD26RD26RD28TTl3a57sFj4WFqz1gut5RS2+RXAQAAOkm/BEKRCF1CsWhEWLFNh7ZJh7ZJh7aJp2/t8sGvv1Q8TO0Ri34EZBW1TX4VAACgU7xI9LLlgO4AOoJi0YiwYpsObZMObZMObRNPn9vlPV94brD5L18ZHqZ2yLJMbZNfBQAA6ASKROg6ikUjwoptOrRNOrRNOrRNPLTLMDd84vjg7PMv8MLRKcsutY1dAgAAtB5FIiwKikUjwgpcOrRNOrRNOrRNPLTLytz+zZcHb3rvYfW1sraxy2OW6GFqAAAATTtsyTouloO6A+g4ikUjwgpcOrRNOrRNOrRNPLRLOmqb4DC1lyx3WgAAABoXFol0HVgUFItGhBW4dGibdGibdGibeGiXdMK2efunHh+cc8Em7dmtPtmzll0WAACAuaJIhEVHsWhEWIFLh7ZJh7ZJh7aJh3ZJJ9Y2Okxt16F7vY+mHLdssgAAAMwMRSL0BcWiEWEFLh3aJh3aJh3aJh7aJZ1RbfO+Lz0/eN2b3up7G+mSvhsAAKiVTlbtnY1f1x3AgqNYNCKswKVD26RD26RD28RDu6QzTtsUDlN7zrLbAgAAMJGwSKRfOgP6gmLRiLAClw5tkw5tkw5tEw/tks4kbaPD1K760P2DpTVrfqzlnIXD1AAAQGUUidB3yWLRvk9+MUvx/rpz5QfuGxz8/Heij7UhVVZSrr3v04P9j34r+lhdURtd/eGPD2776nejjzeRcVfg+tROo9qmz9+vKtPNPNqnbd+ptsxrbvrsiex9Yo81lXHnNcXc+uUXbDn3i97f0+W9FgAAgFWut1AkAiLFIq08KWFHWytTG7duH+w8cFd2XSsr5268cNXzYtEKmVb69P9br3lb9Dn++m1bqVXKVlL0ebRiVbxfn1dto7aNPZ5Klf/T/a/ZuTv62LxTdQWu2E7h9KTPq0t9ZqXKirBeS22l56emwabbKdU2Gt7iMF/34LGsqKNh1nW1jT5ble9DF79fZdNNrH3C+Gcp+46E6cK04pl0XrP9hluW202p8h3S/+m5Ze2oxzVdxh6bd2Jto/lGatg1nWj4NV6L4/4dDz05WP9TF/1Q91uet+yxyCWWj1k+l91a6SKL7r8iuwUAABaOOgRnLOogPGZZZwH6bEWxSJ3v2AqnCkPF+7VCov8NO+Fl0f+nVmYVf70qKzrzTGoFTiusZZ9dKzH6PKmVmVSq/J+2+mucxB6bZ8pWbj2j2imMPrdWfGOPxTJq+muynVIrt2XfAY8XjLTCG3s8li59v1LTzaj2UbtonGqcj/vdavO04hl3XqP20OdSQWSSPciqzGv0fRznOzmrhG2jz6nhjn0//DNV2TNKh6ntvuvXw8PUHrf8geUJS8o9lrLHAQBAx1AkAuKWi0WpTrbfH1tZ0f1VVn6VUSuzilaK2rLXjCe2Aucrq2Ur3lVWxGKp8n++stT0Vv/Uyq2nSjt59HnHHfd67bICQJPtVGwbH69lK7F63KNhrrNYpLTl+xWbbka1jz6bt4dPV2XfkWL0/LZOK55J5zWK2kLjt8pzPd7mZe3oBSntiRR7fF7xttE0oOGJjUvfQ1GPeVvossqw3/aVFwevv/p639voJxYdppbqK+o5Dw2vAgCArqJIBJRbLhalVsB8hSLWOdf9o1ZQPVVWZvW4XjP2WFOJrcBVGc4qK2KxVP2/cdp+Vom1TZiq41MrpJPs8aLXjk2XYZpqp2LbpL5fqWgld5w9XfQZR33OquNj1ikrihTbR7eLBZxx21LR89s6rXgmndeEUVtV/Qxqv1Ht6M8Z1XazjrdNatxr/qH7i3tB+fCrkBTen4ra7rU//5bBea9+7Q/0f5YXLDp1QUh7FukxAADQQTssL1q0MKdIBKSt2rMotlKgjrZWXMM9HbzTXvXQB3XCR63EaK8HrSTHHmsq46zYhvH2LHtOLFX+z7euV10BmlVibRNmVDtpi/8kRSKPXjs2vXqabKdi2/h4LRveMFrpH2e4u/T9ik03qfbR9KHHwqhd9FzthVR1+mnztOKZdF4TRsWSqs/V80a9tr6jeo4KurHH5xVvm1R7+PiLfQd0f9VD6Yrfo7fcfSQ8TO1JyxYLxSIAADpIRSJtBdJC/IRlgwVA2jbL4IKLt2UdY60opVY4tVKmx/R8rXAWDxfxlQo9FnbkfYUkTGylzbcMl624NJFUQUSfM7Xy6e0UJnxchQAV34p7j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0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003einequality : \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); column-rule-color: rgb(170, 4, 249); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(170, 4, 249); text-decoration: none; text-decoration-color: rgb(170, 4, 249); \"\u003e'2x + 3y \u0026gt;= 24'\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 19.8529px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.99954px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.99954px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.99954px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.99954px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 403.493px 9.92647px; transform-origin: 403.498px 9.92647px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003epoint : (0,0) -----\u0026gt; false (0)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 19.8529px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.99954px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.99954px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.99954px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.99954px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 403.493px 9.92647px; transform-origin: 403.498px 9.92647px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003epoint : (0,8) -----\u0026gt; true (1)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = checkPoint(inequality,point)\r\n  y = x;\r\nend","test_suite":"%%\r\ninequality = '2x + 3y \u003e= 24';\r\npoint = [0, 0]\r\ny_correct = 0;\r\nassert(isequal(checkPoint(inequality, point),y_correct))\r\n\r\n%%\r\ninequality = '2x + 3y \u003e= 24';\r\npoint = [0, 8]\r\ny_correct = 1;\r\nassert(isequal(checkPoint(inequality, point),y_correct))\r\n\r\n%%\r\ninequality = 'x + 7y \u003e 84';\r\npoint = [0, 12]\r\ny_correct = 0;\r\nassert(isequal(checkPoint(inequality, point),y_correct))\r\n\r\n%%\r\ninequality = 'x + y \u003c -5';\r\npoint = [-5, 0]\r\ny_correct = 0;\r\nassert(isequal(checkPoint(inequality, point),y_correct))\r\n\r\n%%\r\ninequality = '-x + y \u003c -5';\r\npoint = [1, -10]\r\ny_correct = 1;\r\nassert(isequal(checkPoint(inequality, point),y_correct))\r\n\r\n%%\r\ninequality = '-9x - 8y \u003c= -15';\r\npoint = [0, 0]\r\ny_correct = 0;\r\nassert(isequal(checkPoint(inequality, point),y_correct))\r\n\r\n%%\r\ninequality = '1/2x - 8/7y \u003c= 9/8';\r\npoint = [0, 0]\r\ny_correct = 1;\r\nassert(isequal(checkPoint(inequality, point),y_correct))\r\n\r\n%%\r\ninequality = '0.875x - y \u003e 15.75';\r\npoint = [50, -90]\r\ny_correct = 1;\r\nassert(isequal(checkPoint(inequality, point),y_correct))\r\n\r\n\r\n%%\r\ninequality = '8/7y \u003c= 9/8';\r\npoint = [0, 70]\r\ny_correct = 0;\r\nassert(isequal(checkPoint(inequality, point),y_correct))\r\n\r\n\r\n%%\r\ninequality = '9x \u003c= 80';\r\npoint = [0, 7]\r\ny_correct = 1;\r\nassert(isequal(checkPoint(inequality, point),y_correct))\r\n\r\n\r\n%%\r\ninequality = '5x + 4y \u003c= 60';\r\nfor idx = 1:20\r\n    point = randi([-50, 50],1,2);\r\n    y_correct = 5*point(1) + 4*point(2) \u003c= 60;\r\n    assert(isequal(checkPoint(inequality, point),y_correct))\r\nend","published":true,"deleted":false,"likes_count":2,"comments_count":0,"created_by":8703,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":10,"test_suite_updated_at":"2020-10-03T05:40:25.000Z","rescore_all_solutions":true,"group_id":1,"created_at":"2020-10-02T19:51:57.000Z","updated_at":"2020-10-03T05:40:25.000Z","published_at":"2020-10-02T19:52:18.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCheck if the point is in the solution list of an inequality.\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=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[inequality : '2x + 3y \u003e= 24'\\npoint : (0,0) -----\u003e false (0)\\npoint : (0,8) -----\u003e true (1)]]\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":46660,"title":"List all of the integer points in a bounded feasble region","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 593.118px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.491px 296.553px; transform-origin: 406.497px 296.559px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 20.5882px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.49px 10.2941px; text-align: left; transform-origin: 383.496px 10.2941px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003ca target='_blank' href = \"https://en.wikipedia.org/wiki/Feasible_region\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eAbout feasible Region\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; \"\u003e\u003cspan style=\"\"\u003e. You will be provided constraints as string. There will be always two more constraints as follow;\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.5882px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.49px 10.2941px; text-align: left; transform-origin: 383.496px 10.2941px; 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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\" width=\"36.5\" height=\"17.5\" style=\"width: 36.5px; height: 17.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.5882px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.49px 10.2941px; text-align: left; transform-origin: 383.496px 10.2941px; 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,iVBORw0KGgoAAAANSUhEUgAAAEoAAAAjCAYAAAAzK5zjAAAEG0lEQVRoQ+2ZWahNURjHf5cyJkMpRF4MD8qYzCRTypwHMqSMRcZMSYoMmTNFyJSpZCgp4kEhL0qSFDIklJBkTOhf376ts8/e7trn7OvcnLPrPtx7v7PW2r/vv77plFF6vAiUeVmVjCiB8hRBCVQJlCcBT7OSokqgPAl4mhWboqoBfYBJwHugNtAAOAtcAr7HcSsEqHp2mE+ezkzLrBGwBugCzAbu2MJtgL3AS2AR8DZqw0KAagscBM4Bh4F3aZH4yzpSzkZgDjADOAD8duwHA2eAY8AS4HN4rUKAagEcAgaY/LcB++I8mRLEkQbhATAeeBpat6E5bzQwETheFUDpDDWBgcAqoKsDTEp7nRKcYJm6wC5gijlkAfA1tIcEs8KuppQ+Ffjg2hRCUe7+UcD2A3uAFykBa2/XqjWwEJCCo54RwAVAsXMocLMqgQrOEgBballJhz0CbAGe5QksAKBlxgGnY9brBdyw/80y9ZWbximqJdDZMkQnoJ3JUlcjeKoD8wC93Gbz1M88XyoOmFSguOIGYN+tlgPrzLh3WCnOIkoygtjB3mUZ8CP4fxwoZYk6gD68FehmWcq9uzUMnrKEUq289dj39BXYRQFTVtoEPEwATO+nOKgfPb6glFwyYplPjAoyhjYK310FysVAP2AC8ColUHFXUn8/CmzwBCaHS40zE4K6bO9TXrr4gGpqh1OWWgmsDXm0LzAKyJBqSsBUSfe06z3M1lRWkrJueyhLqhdUqSOJoqTeacDHiq6e+56KRZKuIIUXEGgdQgFXbUBaTxSgkxYL7wK/Emykc69OCCqnq6c9BgFXgEfAWOCebSy1qS3QYdKof8KAlP1yiU0uR107tShJFKXyRO3MtySKkq2y4Am7Bm7lqrhUy6raBE7OMhUgxTll0CFWy+QLKNjEtzzobmJQL5pVb/nEKG3oBsX1pqAmpiZVtLmqKQqQ6qd8yoGwF9y071twqpW55i7kC0qfUSxSqaDGcS4w3bJcVl/kIa0wII080q7Ig2O4LYwcEJd0gnrrKjA57PwkoJTdrgO3LKgOt3uc0RN5QGoG7ATGVHKP5x4lmA6o3osqY+rbREHxdz6wI5xRk4BqBZwCNL9RvaTiM6Mf8oAkk0KPWaKmAwFIqUnBP2smlQSUS11ZTvVJLi1LoQZ3je3MasdUI903xypR7bZ2ReHleZTDk4AKAnpz2+iNp4Kqkplao/52/b7YuEUljjLsxYjxS/nZk4DScEvkVYwpVhXV4wtKdsp08kJ4jJoUmJuuk342sM+qnHNdyPdzvqBUDKo5VmzKmif7bmZ2/w0oxaKOFvmf2FxKqVzB+19/c5LQB5VnHqUopX1dLxWB5w2Omkr9XrRPFKgezhh0u30jEfvFYLGQ841RxcIj9j1LoDwl8AeevvgkQ04hVAAAAABJRU5ErkJggg==\" width=\"37\" height=\"17.5\" style=\"width: 37px; height: 17.5px;\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 20.5882px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.49px 10.2941px; text-align: left; transform-origin: 383.496px 10.2941px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eList all of the positive integer points in the feasible region. Assume bounded feasible region.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 474.782px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.49px 237.385px; text-align: left; transform-origin: 383.496px 237.391px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = listIntegerPoints(inequalities)\r\n  y = x;\r\nend","test_suite":"%%\r\ninequalities = [\"y \u003c= -3/4x + 6\";\"y \u003c= x + 4\"];\r\ny_correct = [0,0;0,1;0,2;0,3;0,4;1,0;1,1;1,2;1,3;1,4;1,5;2,0;2,1;2,2;2,3;2,4;3,0;3,1;3,2;3,3;4,0;4,1;4,2;4,3;5,0;5,1;5,2;6,0;6,1;7,0;8,0];\r\nassert(isequal(listIntegerPoints(inequalities),y_correct))\r\n\r\n%%\r\ninequalities = [\"y \u003c= -x + 5\"];\r\ny_correct = [0,0;0,1;0,2;0,3;0,4;0,5;1,0;1,1;1,2;1,3;1,4;2,0;2,1;2,2;2,3;3,0;3,1;3,2;4,0;4,1;5,0];\r\nassert(isequal(listIntegerPoints(inequalities),y_correct))\r\n\r\n%%\r\ninequalities = [\"x + 3*y \u003c= 9\"; \"x + 7*y \u003c= 14\"; \"x + y \u003e= 5\"];\r\ny_correct = [4,1;5,0;5,1;6,0;6,1;7,0;8,0;9,0];\r\nassert(isequal(listIntegerPoints(inequalities),y_correct))\r\n\r\n\r\n%%\r\ninequalities = [\"x - 3*y \u003c= 6\"; \"2*x + y \u003c= 14\"; \"x + y \u003e= 5\"];\r\ny_correct = [0,5;0,6;0,7;0,8;0,9;0,10;0,11;0,12;0,13;0,14;1,4;1,5;1,6;1,7;1,8;1,9;1,10;1,11;1,12;2,3;2,4;2,5;2,6;2,7;2,8;2,9;2,10;3,2;3,3;3,4;3,5;3,6;3,7;3,8;4,1;4,2;4,3;4,4;4,5;4,6;5,0;5,1;5,2;5,3;5,4;6,0;6,1;6,2];\r\nassert(isequal(listIntegerPoints(inequalities),y_correct))\r\n\r\n\r\n\r\n\r\n\r\n","published":true,"deleted":false,"likes_count":3,"comments_count":0,"created_by":8703,"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":"2020-10-03T11:21:30.000Z","updated_at":"2020-10-03T11:21:30.000Z","published_at":"2020-10-03T11:21:30.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"https://en.wikipedia.org/wiki/Feasible_region\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eAbout feasible Region\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. You will be provided constraints as string. There will be always two more constraints as follow;\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\u003ex \\\\geq 0\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: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\u003ey \\\\geq 0\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\u003eList all of the positive integer points in the feasible region. Assume bounded feasible region.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"711\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"1163\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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ceLe8sBAAAAAIASxT2L/HxFRy36taq/OP81F69a6ddtnYsmvC+M730URucl0mvqerE44ode6ZC18P42JLZnkYY1vK+YqsUife5iOyn6X7WXrhcLKSrC6XHtYRTe30RG7VlU1gY65GxUkcgTttNVH3pgsG79edlr5/kji6ZbHZYW0h5FerzK+Y8AAAAAAECueM6i7NfNzlpa+tF1D37uJV9ZV4FCxSE95kWMcGVehxDpkKOyw47Kigd+zqKqxYN5plgQGXUunqz9goSFNv2vPqfasmzPoOL/hdGeSKnH5p2yYlGqnbxoGEt4KJqep3ZKfVYdplb4f03L+oU+p/MVpfY6AgAAAAAACV4s+nJ++ZM3ve8jfxZbOR8VncR6kkOj9H8qDMQea0NiBREVtTTMxT2kqkZ7UE1SGFNRrU3ndSorFinTtpM+b6ooF+Y9X3huuQiVH6b2WxZ+DQ0AAAAAgAl8w6KV7B/vfeB/+N995Vsr6ZOu4FeNXl+HUrVxb6IwZQURDfs4h1NNGhXU2nDYWTGjikWeebbTm2/9lfD8Rt+xy10WAAAAAAAwwmFLViTS5VUfuj+68k2qF0T6mDa3ze3ffHnwpvcezopGeY5ZwsPUAAAAAADonXBFOZk33/R3s5V+Qvqe9/7LP/JfWQMAAAAAYOH5nkSKrrsHLOxZVBIVEWL3k262zds/9fhg/abN2XchP0xtt74IAAAAAAD0RapI5CgWjQjFonS63DY6TG3XoXv9u6Ect2yyAAAAAACwkA5YXrZoJVgFoRSKRSNCsSidRWmb933p+cGWXXuGRaOlpR/ZZaywCgAAAABAJ4VFoqO6YwSKRSNCsSidRWybdzz05OD8i7ZkhaOlNWv+nV1ymBoAAAAAoJPGLRI5ikUjQrEonUVuGx2mpu/FmrXrhnscnXXW71s2WypR2+RXAQAAAACYq32WSYpEjmLRiFAsSqcvbXPrl18YvP4t1w+LRsPD1O7Vl6cMxSIAAAAAwLztsZyxaIX0Md0xIYpFI0KxKJ0+tk3hMLU/tUt9F1ehWAQAAAAAmJdikWidZRoUi0aEYlE6fW+bt9x9JDxM7XHL8mFqFIsAAAAAALNWd5HIUSwaEYpF6dA2w9z2lRcHb/iFfcOi0fAwtQcoFgEAAAAAZmWH5bSl7iKRo1g0IhRE0qFtVuemz54YvOq1W7O2WVqz5j/Z9+v67JsGAAAAAMCUVCR6waIi0QnLBsssUCwaEQoi6dA26ahtCoepPWnZYgEAAAAAYCzzKhI5ikUjQkEkHdomnbBtDj11erBt783DolF+mJql7r0EAQAAAAALZt5FIkexaEQoiKRD26STapt3//bJwQUXb8sKR0tLa/6zXe7TFxEAAAAAAKfDUk5Z5l0kchSLRoSCSDq0TTpV2uaajxwND1PT93+rBQAAAADQU2GRSJdNncuEYtGIUBBJh7ZJZ5y20WFql1x3wItGyhELh6kBAAAAQE+0pUjkKBaNCAWRdGibdCZtm/2PPj3Y+IZLs6JRfpjaO/VFBQAAAAAsnrYViRzFohGhIJIObZNOHW2z56MPD9aes973Njpp2WYBAAAAAHSczkGkc5FoZe9ZS1uKRI5i0YhQEEmHtkmnzrZ5/9fODLbfcNCLRspRC4epAQAAAEDHhEUi/cqZfu2sjSgWjQgFkXRom3Rm1TYHfveZwau3X54VjZaWlv6LXd6sLzIAAAAAoL26UiRyFItGhIJIOrRNOvNom733PzI4+7wNvreRDlO71AIAAAAAaImuFYkcxaIRoSCSDm2TzjzbRoepXfauQ140Uh62rLcAAAAAABqg84Y8ZtEK2hnLLkuXUCwaEQoi6dA26TTVNuFhamctLf2ZXR7UFx0AAAAAMHvFItEeSxdRLBoRCiLp0DbptKFtrnvwWHiY2tMWDlMDAAAAgBlYlCKRo1g0IhRE0qFt0mlT23zw6y8Ndu6/04tGyiMWHToLAAAAAJiSVrAWpUjkKBaNCAWRdGibdNraNgePPzu46LJdw6LR8DC1Q5oRAAAAAADGc9SilauXLQd0xwKJFot2HrhrcNNnT6y477avfnew/YZbspXMczdeOLj2vk+veDwVvc5rdu5e/r+rP/zxFY/76+5/9Fsr7m9Lylb6Nexbr3lbdll8TIcA6bFiO6ai17jyA/dlbaS20v8W2+Tg57+TfL8mUrUgEmsnfRafnvzzVm0rTXsbt27P/k+X+z75xRWPt6Gdytom9v0a9ZlSmeb7VThM7RnL5ZY2eMhSVpDXYxrmKkX7Oyzftuj5urzRErrE8oTlouwWAAAAAIywyEUit6JYpJVs3S6uZGvltni/Vm51n/4nfG4YrYyGt/X/+p/iCq2i+7SCX7y/6aRW+vXZtJIee0zRSrw+a5UCiNqw+DwVjvT/4X0etVOsDeedKsWiWDvpvmLxwqcnTWvh/cUUpykVVVLt3GQ7xdom9f0a5zOFKf7fpN+v27/58uBN7z2c/W+epg5TU+FG719WuFEh6XMWPW9Usah4cm8VilL/p4LRPcOrAAAAALBaH4pEbrlYlFrR9KKHihfh/Yrur1Lg0Wt70aC4ghtGrzeqWDDvxFb6q6zMe7uNWuEvRkUUtYHatVhU8Phrl7XlPDKqWFS16OEZ5zOp8KJpVdNUaq+0Jtup2DZlhRxPlc8US53fr/d84bnsdfTcs5aWvm+Xd1rmQQUivW+qYKNCkgpFoufouVX2LBL9r/7npOUK3RHheyvx63EAAAAAVvhVi1YW+lAkcsvFIq2k6npxxd5XuGMrubq/SrFI0Yqw76GkldHYc/Raejz2WFOJFUSqDKe3W9VCSRit8PshSSq4xJ6jx6q2/awyqlg0zvic5FBEta2/R6yYqTTVTsW2SX2/iqnymWKZxffrhk8cH5xzwabsfyzPWnZZZqWsAPQxS3j/uMUi0XO195D+T68Xo8f0HAAAAAA467BFKwmKrvfJyGKRonOhFFe49Tw9P1ZEKov/n1Zui4+NuzI7jzRRLPLofVJ7gui1i+Nk3qmjWKRi2LhFomI0Daq4FnusqXaatFjkKftMZZnF9ytymNoxS92HqaUKQF7gSWXc4o7eR+cuipnk9QAAAAAsmD4XidyKcxbpemxvBh3mooKRFy60Qlo8ma5W+otFJe0tov/xYoD+TyvAqeKA3j9VHGkqsYKIr5DrMxcf82jvID0nVkzzwoE/ptdRu+l/1NaK2iHVFv7+ZYcczSOjikVl7aRzFGn6UBuE0X36Pz1Ht8N2UgFE7aTbXgzR62hPGrWZv7anyXaKtY2Gpfj9qvqZ1IZt+H6970vPD7bs2pO91gwOU9Prpvb6CcUKS36fLsVPXK3bui462bUORYudE0mvpf/nMDQAAACgpygSvaLSCa7HiVZ6J9lTRCvI4YpwW5IqiKgAkTrcp2q0sh+7f1S8yBJ7bJ4ZVSxS+tpOsbZZtO/X2z/1+GD9ps35vHTpT+xyt2UaVU5wPYpOfj0J/Z8XmgAAAAD0iM5DpPMRaWWk70Uid8gyuOxdh1asBGrvg3H3xtAKrFZIJ1kR1t4Wk6wAzyNlBRF9Vq2Ajzvs2ktkkr1d9H4aN9MUG+pMlWKR0sd2KmubRft+6TC1XYfuzYtGWY5bNlkmpRNZj7uHj37pbJK9glSY0vtNU6ACAAAA0EFhkUi/dIZXRItF5JVULYj0MbRNOn1tGx2m9vq3XO9FI813VxXmrW20RyMAAAAANKLvRSJfYSvNm2/6u9mKLSGEzDo2z1GxKLsEAAAAgHliT6Lq2LNoRLRiG7uf0DZloW1eiQ5T03nRltauywrUebFos2ZAAAAAADBr+jWbMxatiDysOzASxaIRYaU/HdomHdomnlu//IIXixQV9e+1AAAAAEDtwiLRY5Z1FlRDsWhEWOlPh7ZJh7ZJx9tGP/X/qtdu9cLR85bwp/ABAAAAYCIUiaZHsWhEWOlPh7ZJh7ZJJ9Y2b7n7yPJhapYnLVssAAAAAFDZWy0UiepBsWhEWOlPh7ZJh7ZJp6xtbvvKi4M3/MI+LxrpMDX9chrzeAAAAABJOywvWLQSccLCCsT0KBaNCCv96dA26dA26VRtm8Jhapr3X28BAAAAgEyxSLTBgnpQLBoRVvrToW3SoW3SmaRtrvnIUQ5TAwAAAJChSDR7FItGhJX+dGibdGibdKZpm0NPnR5s23uzF42UIxb2MgUAAAB6QFuMKRLNB8WiEWGlPx3aJh3aJp262ubdv31ycMFP/6WfaB5medGyzwIAAABgwahIdMqijr8uOcxg9igWjQgr/enQNunQNunMom0Kh6lpI8NWCwAAAIAOo0jUHIpFI8JKfzq0TTq0TTqzbJv3f+3MYPsNB71opHCYGgAAANAxFImaR7FoRFjpT4e2SYe2SWdebbP/0acHG7du98PUTltutgAAAABoKZ2DSIcJUCRqHsWiEWGlPx3aJh3aJp0m2mbPRx8erD3nXC8cnbRsswAAAABogbBIpBNY69fO0CyKRSPCSn86tE06tE06TbaNDlP72Rtv1TLIc9TCYWoAAABAAygStRfFohFhpT8d2iYd2iadtrTNgd99ZnDh9p8PD1M7YAEAAAAwYxSJ2o9i0Yiw0p8ObZMObZNOG9tm7/2PDNad9yovHD1tudQCAAAAoEbapf8xC0Wi9qNYNCKs9KdD26RD26TT5rbRYWqaH2q+mOdhy3oLAAAAgAmFRaIzlj0WtBvFohFhpT8d2iYd2iadrrTNL/3eqcFFl13hextpmXbQAgAAAKAiikTdRbFoRFjpT4e2SYe2SaeLbXPdg8eKh6ldbgEAAAAQQZGo+ygWjQgr/enQNunQNul0uW0++PWXBjv336llnucRi87PBwAAAMDo54bVUX7Zsld3oJMoFo0IK/3p0Dbp0DbpLErbHDz+bPEwNc1PAQAAgF4Ki0T8zHD3USwaEVb606Ft0qFt0lnEtrnhE8cH52z4KS8cPWPhMDUAAAD0AkWixUSxaERY6U+HtkmHtklnkdvm9m++PHjTew9rWek5Zql0mJraJb8KAAAAtN4RC0WixUWxaERY6U+HtkmHtkmnL23zni88N3jNzt1eNHrJcqcliWIRAAAAuuCwxTu5pR1cdBrFohFhpT8d2iYd2iadPrZN4TC1Zy27LCtQLAIAAECbhUUiXcdio1g0Iqz0p0PbpEPbpNPnttFharsO3evLWGX5MDWKRQAAAGgjikT9tKpYdN2DxwZXf/jjK1ZwlCs/cN/g3I0XZtOIrt/21e+uek4x19736cHGrduz/9H/6nWL/6fX0nuG97UpZSu2Ow/cNbjpsydW3a/79FisHWNRm4TtqzYrtomes/2GWwb7H/3WivubTNWV/mI7Vfm8sXSpnVJtE/t+qW38cCX/noSPp9LV79ck3ymPHtPnLXuOZ1T7ND2tvO9Lzw+27NqTDZ/l5ZJi0UWWJ/LLIt3vr6Hodhm9xscs37Po+d+2HLSELrGk3g8AAAA9cavFO5kUifpnRbFIK1b7PvnFFSs0WtHUc8L7tXKl+8pWQrWSGt7WipmvuB38/HdWPKYVP63MFVd025DYiq2GX5+jbHj1eJWVfr2WVmrD+7x91V7h/Ypec+s1b1t1fxMZVSyKtdO4n9fTtXaKtU3q+xXeVltVmXa6/P2a9DulQpKKO3reqGLROO3Thu/U2z/1eNYuGj7Lc5bdFlEh5+Tw6irjFnRUBLpjeHXZFRa9p4pGRXr9e4ZXAQAA0Bc6WbVOWq1Oon7pDP20XCzSng2xFSY9rseK9+u5eqx4f1m0UpYqCOj1Uo81meKKbdWV+SrPKYvaQyvHscf02qnH5pmyYlHVdvKUfd6ytLWdim2T+n551F4qHOl5k+4J1JXv17jfKRV3fDzqOXpulT2LiilrnzZ8p9Qufpja0pq1fn4jZZ+lSEWkhywq8ug52lOouIdQVSoK6bWK9lj02pO+LgAAADqEIhFCWbHoDX/17dlKSWxlTffHVnJ1nx4r3p+KVu7KVsamWQmcZYortlWHM9WeVaL/KysYjNv2s0pZsWic8Tnq86bS5nYK20ZtUGV68KKInhsr0JalS9+vcb5T2kMovH/SzzGqfdrwnSq2y8W792bDlEfL7bK9f7XXkApGsaJPGe05VFYM0nuPOrQNAAAAHUaRCDEji0V+2Efxft0XKyIVo70GiocPxdKmldkw8ywW6bCqfYXDlGJZlGJR1c9bTBfaaZJikcefXzxcKpYufr+qfqd8/KVS5/ynDd+pYruEw/SOh54cnPfq1/44/+zPW7TXT5EKP58bXh1Jh5/dOLxaSu9HsQgAAGABqUN5xqIOH0UiFOnwhsHr33J9tmKS2pvBH9OKl1Zgi4fU6D4d3qH4Cq4u9RytCIbRngKxLfx6blsOkwkTK4iozYrnRAmjz67nhG3kUZFD548JH9NKcqyt1E6xFV29dtleEvNKWbFISbVTlc/b9XaKrfjHvl8qxmoYVQDTbX1GfQ/8trJo369JvlMefUY9NywsxaaVcdunDd+pYrvoM2q49Pn8Ph2mtnP/ndn9eb5iucyik1YX9xBS8UjPCc87pD6Bn4sojPZIKp7PiMPQAAAAFlBYJHrMss4CFO21DC6+am+2IqKVyXDFZNxo5abKVvxitGK8aCe4HhWtuIYFgapR+4YrxU1mVLGoz+0Uaxu+X8PwnYon1i5+Hqvi/cptX3lx8IZf2Je1m0V7Dt9riam6t1GR/i8sNAEAAKDDKBJhHCuKRYpWTsbdwq4VPa1w6TL2eFn0fpOcr2ZeKSuIqJ3GHXatzKqtJlkp1l4Rk6wMzyqjikWePrZTqm34fvGdSiXVLvpcKmaVDacKiee/5uLwMDXN23WY2SR7BekX1rSnET+dDwAAsAAoEqHItzhPnAsu3hZdMelTqhZE+hjaJh3aJh3aJp662uUtdx8Jf03tScsWCwAAAHpmh+UFizqFxy0UiTCOVXsWkZVhxTYd2iYd2iYd2iaeutslcpjaAxb6CAAAAAsuLBKdsGywAOOiWDQirNimQ9ukQ9ukQ9vEM8t2efdvnxxs2PKGH2l+b1Hf4XoLAAAAFghFItSJYtGIsGKbDm2TDm2TDm0Tz7za5ZqPHA0PU1M/YqsFAAAAHUWRCLNAsWhEWLFNh7ZJh7ZJh7aJZ97tcuip04Nte29Wn8JzxMJhagAAAB2hE1Oesqgj94yFIhHqRLFoRFixTYe2SYe2SYe2iafJdikcpvaiZZ8FAAAALRQWiXTJr5lgFigWjQgrtunQNunQNunQNvG0pV32fPThwZqzz/Gf4ecwNQAAgJagSIR5olg0IqzYpkPbpEPbpEPbxNO2dnn/184Mtt9wUH0Rz1ELh6kBAADMmQ4vo0iEeaNYNCKs2KZD26RD26RD28TT5nbZ/+jTgwte/0Y/TO205WYLAAAAZkhFIu3mrQ6YTmB9qQWYF4pFI8KKbTq0TTq0TTq0TTxdaZfCYWonLdssAAAAqEmxSKRfOwPmjWLRiLBimw5tkw5tkw5tE0/X2kWHqV32rkPqw3g4TA0AAGAKFInQJhSLRoQV23Rom3Rom3Rom3i63C4HfveZwYVv/Dk/TO2M5aAFAAAAFWhr2+9bKBKhTSgWjQgrtunQNunQNunQNvEsSrvsvf+Rwbr15/thak9bOLweAAAgQkWixyy+tW2PBWgLikUjwoptOrRNOrRNOrRNPIvWLjpMbef+O9X38TxsWW8BAADoNYpE6AKKRSPCim06tE06tE06tE08i9wuB48/O3j1pW8KD1O71VKZtc0D+VUAAIDOokiELqFYNCKs2KZD26RD26RD28TTl3a57sFj4WFqz1gut5RS2+RXAQAAOkm/BEKRCF1CsWhEWLFNh7ZJh7ZJh7aJp2/t8sGvv1Q8TO0Ri34EZBW1TX4VAACgU7xI9LLlgO4AOoJi0YiwYpsObZMObZMObRNPn9vlPV94brD5L18ZHqZ2yLJMbZNfBQAA6ASKROg6ikUjwoptOrRNOrRNOrRNPLTLMDd84vjg7PMv8MLRKcsutY1dAgAAtB5FIiwKikUjwgpcOrRNOrRNOrRNPLTLytz+zZcHb3rvYfW1sraxy2OW6GFqAAAATTtsyTouloO6A+g4ikUjwgpcOrRNOrRNOrRNPLRLOmqb4DC1lyx3WgAAABoXFol0HVgUFItGhBW4dGibdGibdGibeGiXdMK2efunHh+cc8Em7dmtPtmzll0WAACAuaJIhEVHsWhEWIFLh7ZJh7ZJh7aJh3ZJJ9Y2Okxt16F7vY+mHLdssgAAAMwMRSL0BcWiEWEFLh3aJh3aJh3aJh7aJZ1RbfO+Lz0/eN2b3up7G+mSvhsAAKiVTlbtnY1f1x3AgqNYNCKswKVD26RD26RD28RDu6QzTtsUDlN7zrLbAgAAMJGwSKRfOgP6gmLRiLAClw5tkw5tkw5tEw/tks4kbaPD1K760P2DpTVrfqzlnIXD1AAAQGUUidB3yWLRvk9+MUvx/rpz5QfuGxz8/Heij7UhVVZSrr3v04P9j34r+lhdURtd/eGPD2776nejjzeRcVfg+tROo9qmz9+vKtPNPNqnbd+ptsxrbvrsiex9Yo81lXHnNcXc+uUXbDn3i97f0+W9FgAAgFWut1AkAiLFIq08KWFHWytTG7duH+w8cFd2XSsr5268cNXzYtEKmVb69P9br3lb9Dn++m1bqVXKVlL0ebRiVbxfn1dto7aNPZ5Klf/T/a/ZuTv62LxTdQWu2E7h9KTPq0t9ZqXKirBeS22l56emwabbKdU2Gt7iMF/34LGsqKNh1nW1jT5ble9DF79fZdNNrH3C+Gcp+46E6cK04pl0XrP9hluW202p8h3S/+m5Ze2oxzVdxh6bd2Jto/lGatg1nWj4NV6L4/4dDz05WP9TF/1Q91uet+yxyCWWj1k+l91a6SKL7r8iuwUAABaOOgRnLOogPGZZZwH6bEWxSJ3v2AqnCkPF+7VCov8NO+Fl0f+nVmYVf70qKzrzTGoFTiusZZ9dKzH6PKmVmVSq/J+2+mucxB6bZ8pWbj2j2imMPrdWfGOPxTJq+muynVIrt2XfAY8XjLTCG3s8li59v1LTzaj2UbtonGqcj/vdavO04hl3XqP20OdSQWSSPciqzGv0fRznOzmrhG2jz6nhjn0//DNV2TNKh6ntvuvXw8PUHrf8geUJS8o9lrLHAQBAx1AkAuKWi0WpTrbfH1tZ0f1VVn6VUSuzilaK2rLXjCe2Aucrq2Ur3lVWxGKp8n++stT0Vv/Uyq2nSjt59HnHHfd67bICQJPtVGwbH69lK7F63KNhrrNYpLTl+xWbbka1jz6bt4dPV2XfkWL0/LZOK55J5zWK2kLjt8pzPd7mZe3oBSntiRR7fF7xttE0oOGJjUvfQ1GPeVvossqw3/aVFwevv/p639voJxYdppbqK+o5Dw2vAgCArqJIBJRbLhalVsB8hSLWOdf9o1ZQPVVWZvW4XjP2WFOJrcBVGc4qK2KxVP2/cdp+Vom1TZiq41MrpJPs8aLXjk2XYZpqp2LbpL5fqWgld5w9XfQZR33OquNj1ikrihTbR7eLBZxx21LR89s6rXgmndeEUVtV/Qxqv1Ht6M8Z1XazjrdNatxr/qH7i3tB+fCrkBTen4ra7rU//5bBea9+7Q/0f5YXLDp1QUh7FukxAADQQTssL1q0MKdIBKSt2rMotlKgjrZWXMM9HbzTXvXQB3XCR63EaK8HrSTHHmsq46zYhvH2LHtOLFX+z7euV10BmlVibRNmVDtpi/8kRSKPXjs2vXqabKdi2/h4LRveMFrpH2e4u/T9ik03qfbR9KHHwqhd9FzthVR1+mnztOKZdF4TRsWSqs/V80a9tr6jeo4KurHH5xVvm1R7+PiLfQd0f9VD6Yrfo7fcfSQ8TO1JyxYLxSIAADpIRSJtBdJC/IRlgwVA2jbL4IKLt2UdY60opVY4tVKmx/R8rXAWDxfxlQo9FnbkfYUkTGylzbcMl624NJFUQUSfM7Xy6e0UJnxchQAV34p7j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0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003einequality : \u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(170, 4, 249); border-block-start-color: rgb(170, 4, 249); border-bottom-color: rgb(170, 4, 249); border-inline-end-color: rgb(170, 4, 249); border-inline-start-color: rgb(170, 4, 249); border-left-color: rgb(170, 4, 249); border-right-color: rgb(170, 4, 249); border-top-color: rgb(170, 4, 249); caret-color: rgb(170, 4, 249); color: rgb(170, 4, 249); 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0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 403.493px 9.92647px; transform-origin: 403.498px 9.92647px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003epoint : (0,0) -----\u0026gt; false (0)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 19.8529px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 0.99954px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 0.99954px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 0.99954px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 0.99954px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 403.493px 9.92647px; transform-origin: 403.498px 9.92647px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 0px 0px; tab-size: 4; transform-origin: 0px 0px; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003epoint : (0,8) -----\u0026gt; true (1)\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = 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0]\r\ny_correct = 1;\r\nassert(isequal(checkPoint(inequality, point),y_correct))\r\n\r\n%%\r\ninequality = '0.875x - y \u003e 15.75';\r\npoint = [50, -90]\r\ny_correct = 1;\r\nassert(isequal(checkPoint(inequality, point),y_correct))\r\n\r\n\r\n%%\r\ninequality = '8/7y \u003c= 9/8';\r\npoint = [0, 70]\r\ny_correct = 0;\r\nassert(isequal(checkPoint(inequality, point),y_correct))\r\n\r\n\r\n%%\r\ninequality = '9x \u003c= 80';\r\npoint = [0, 7]\r\ny_correct = 1;\r\nassert(isequal(checkPoint(inequality, point),y_correct))\r\n\r\n\r\n%%\r\ninequality = '5x + 4y \u003c= 60';\r\nfor idx = 1:20\r\n    point = randi([-50, 50],1,2);\r\n    y_correct = 5*point(1) + 4*point(2) \u003c= 60;\r\n    assert(isequal(checkPoint(inequality, 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