id stringlengths 1 4 | question stringlengths 8 1.5k | image dict | answer stringclasses 370 values | message stringlengths 738 2.23k | task_type stringclasses 16 values | dataset_name stringclasses 1 value |
|---|---|---|---|---|---|---|
401 | If the length of the side of a little square is 1, what is the area of the letter N?
<image1> | {
"bytes": 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"path": null
} | "$\\boxed{18}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "If the length of the side of a little square is 1, what is the area of the letter N?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
402 | I surrounded the wooden circle (see picture) using $a \mathrm{~cm}$ of thread. After that I surrounded by thread the wooden square –– $b \mathrm{~cm}$ of thread was enough for that. How much thread (in $\mathrm{cm}$ ) would be enough to surround the three wooden circles without moving them?
<image1>
A. A
B. B
C. C
D. D
E. E | {
"bytes": 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} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "I surrounded the wooden circle (see picture) using $a \\mathrm{~cm}$ of thread. After that I surrounded by thread the wooden square \u2013\u2013 $b \\mathrm{~cm}$ of thread was enough for that. How much thread (in $\\mathrm{cm}$ ) would be enough to surround the three wooden circles without moving them?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "metric geometry - length" | MathVision |
403 | The picture on the right has been drawn on paper and cut out to make a house. Which of the houses does it make?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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Jrg/H/wARLTwhaPHGv2m/ZcCJeRHnufSgDo/EfizSPC9g9zqd0kYA+WPPzMfQCvmT4ifFG88Y3Bt7fdb6dG3yR55b3Ncz4m8Tap4n1F7zU7l5ZSSAu75FHYAVgd6APYfgR4k/s/xJNpk022O8QLGGPQ8kn9K+mk7Z6jg/WvhDTr6TTr63u4XKyQyBwVOD+dfaHhPX4fEvh611SE/65AWUfwtjP/1qAOiooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAKN/epY2k1y8c8ixqSUghaRz9FUEn8q4TwO0euXGrXut6Fdwape3jzhNR010EcC7UjUO6bT8uOAc5LHFejbBnoPb2pNuCAAMUAeDfG3w2uozacnh/QL6a+gLJMLPTJTGY2AI+dV2tg56Zxk9K7v4Wazqdz4SttM1vTNSs9RsU8om7tJIxJGOFYMwAJxxjOeK77aR0A65pdnsKAAtgZJ+lDMNucZoOAc8k9Kw/EniSy8N6e11duS5O2OJfvMx6DFAC+IPENl4f083N1KqsOI4z1c9sDrXG6b4SvfF/n6n4t5jmVltLcHiONuAT/tdKl0Pwtc+I9YTxR4iDGXraWrfdhHYkdM9K9DVdoGQBnrigD4o8W6JceHPEV3plwhVonJQk9UJ+X9MVgd694/aC8Nutxaa/EnDAxzED0wF/SvBz1oAUDP4V7R8C/Gg07VG0G6kAt5zmEE9G9PzrxcHFXdMvH07Ura8jJ3wSLIMeqnOKAPu7OP5UAndisXwtrUPiHw7ZajA+5ZI1DY/vAc/rWyhLcnjHFAD6KKKACiiigAPSqV7dpY2slxKszpGMlYYmlf8FUEmrtMKc544oA+YLKw12H4yN4ll8Ma+dOOpyTh102fPlsxw2NuehzjrXX/E+z1z4j3Wm6ZoWg6iLS2ZpZbq+t2tUJYADHmYYgYJOBnmvcQOOgoK98UAc74K8Ojwr4R0/RhN5z26kySjozsxZiPbJNdHnik2/Lx6YpDwvJ4HWgDl/iBryeH/AAjfXbEByhjjye5wP618ZTSmeV5XYlmOWJPJNe0/HrxX9r1OPw/A+YYAHlx3br/PFeIjGDmgBvep7dXeZI0GWchQPXNQ969A+EfhdfE3jGESqTb2uJZDjjPOP5UAfRnw20L+wPA2nWbJtkZBLICcYcqM1Y8S+DbDxBBvINtepzFcwfI4PbJGCee2a6VeF6cAnFITtfkHJ9OlAHnOk+J9V8LSjSfFSO8Ktth1KMZVh/tdQOMV6Hb3kF1bpPbSrLE4yrIcg1Xv9PtdUtGtLuMSROCGVh1rgbrQNX8Awte+Gne8si5aawlJJUdyGOT+AxQB6aHz2NOrmvDHiuw8S2SzW7tFMpKyW8nDKR169q6QUALRRRQAUUUUANboSK8P+JXw21X/AISePxj4WjWa7jlSee3DDcJEPEijuPlGRnOR3yce5Uwqe1AHA6d8UtLntI/7RsNY0/UQNr2MmnTNJv8ARdq4PPrj6CtjRrzXdY1I31zZtpmkqhSG0nANxMxIPmP1CAdAmSeSTjAFdMFIz05pduOg/WgBMkcHpSMwbjJoYf3s47Vy3izxWugWIW2QXeoTHZBbp95m9ceg96AHeLPFlt4fthHGfM1K4Gy3gX5mJ7Ejtya5yx8B3Go6NfXnioLd6ndREFG5EOAcBfTB5rT8L+FZYtQ/4SLWx52tXChmDfdhB5Cr6Y5rtcZRegI96APhbV9Ol0jVbuwm/wBZA5jYD2NZ9ez/AB58JLputprlumIbw/Pgcb+/9K8ZxzQAoNe6/ALxW8d7N4fupP3bKGhB9ccivCa2PDusXGg65aajbvtkgfd9QRQB9xhuMelOzkVkeHtYi17QrXU4fuzxhuP5VrKcj60AOooooAKKKKACo3cIhY5woycAk/kKkpm08GgD5g+J2m634k+IU2qaZ4b12ezVIkWX+zZhv2gEkArnGcjmvYPEPizVr/RJ7XwzoGsyancIY4pbm0e2jgLDlmaUKDgHjqM16Djp0yKTb6UAeZ/C34Z/8ITZy3l/KkusXSBXKfdhTrsU9STwWPqBjpk+lZP97p1p4GAB6VHyQ2R1OKAMzX9Xh0XQrzULhtqQIeT3PQV8Xa5qk+va1d6pOSZbiQu3tmvdv2gfEbW+nWuiQPtaZt0oz1XnH618778HOevUUAM70qjJ4+tJjmug8IaHJ4h8U6fpqZHnS4Zh/CBk0AfQ/wAD/DT6R4Sa9uExLetuGey/5FenzBHXZIoZW42nofrUdhZpYWMNrCoWOKPaAOKsFWwCAM9s9qAPO9c8DXFjqcmu+F7lre9BzLbZHly/h2/DFauh+Ora+uxpeqRvp2rKMNBOMbj6r6iuuw2cHJ98Vz/ifwhZ+JbMRuWtrlDuiuIcB0b1zQBvh2BAPTrUoORXmkfiLWvBDRWfiRXvLDcFjvlHPtur0S1uYru1huYHDwyoHRh3BGRQBYooooAKKKKAGOwVGJycDsMn8q+Y/izpuseKvHDahpPh3XJ7RLZIhK2mTLvI3EkAqCB83fHSvpzBz0p2OOgoA4m+8ZWBsYbk+H/EV3PEfMjtxolx5iPtI4LIFBwSM5PBql8Pb3XNc1bXdd1rTbrThK8VtZ2tzGyNHEgZicNgnJcZPrkdq9Dx7CmFDkmgA3MOeooZvXGKMYHXmuJ8XeMZLCZdI0VftOszHaqjpGPVsUAO8ZeL5NOdNH0lTcaxc/IiIM+X6sfao9N8Awnw9cxaysd7ql5GTPcEdX9B6Cr3hbwuukD7fqAWfWpxm5uPVupC+wNdSDtHv6UAfDniHSZtC1y70yf78EhBOMZ5rJ717f8AtB+Hha6pZ61FHhZwY3KjjI5ya8Q5zQADNe4/s/8Aid4dUn0OaUmCRd0KE9G5J/lXiABx9a2PDutT+HtdtdRtmxJBJk+4NAH3ED70KeeetZWh6tb69otrqdqQY7iMMAD93jpWogyM96AH0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRQelAGF4j1+18P6ZLdTne+CI4Ryzt2AA5rlPD+iaj4nvIvEPiWMROv8Ax7WB5VARwWHGT061X0CwXxN8Qdev9TZpxplyYLWEn5FwWGcdM/KP1r0pI9p4A2nt6UAOVQAqjoBil43c04fSkIzQBz/i/QovEXhq+sZU3ExkoDyAwBwa+LL22ezvJraQEPFI0Zz7HFfeRDYPQk+tfLPxs8J/2J4qN/bwhLS8XeCOzd/zNAHlbDBFGT60h69aSgD339n/AMTkPceH5X+Ukywg/mf5178meMmvh/wzrk/h7X7LUoWIaFxnHdcjNfZ2hatBrGj2t/A+5JUUk/7WOR+dAGtRSZyKWgAooooAKKKKACiiigBDWZrN/HpujXd3K4RY4Wbc3rg1pNyMV4n8fPFL2WjwaFAwDXJDyEHkAYI/PmgDwHW9Um1fWbu+mclp5Wfk9MnOKzieaQ9TQOCKAH7flBA6819N/APw+LDwtNqskZSe7cryMZVehr538P6W2r67ZWUY3eZKoYDrjvX2vpGmw6RplvYQLiKCMIPw70AaGOKWiigBCAaYFGG3Dg8GnkUAcUAeX/EfSLXRo4df08Na3qud7xNtVh7gfWvTx/KvP/i6P+KSY4H3h/MV6DjpQAtFFFABRRRQAUUUUAFJmlpDQByfi7xjbeG4o7cI0+o3JKW0CDJLepx0FUPCXhCe1vLjXdZczavdHLqx3LCT1VPSqvgfTo9S1XWtcvP396moTQRO3PlopG0DPSvQlQgknGSO1ADgBjp9aQjA6U4CjFAHGfEnw4viXwdeWqAGZE3Jx0wecflXx3PDJBNJFKm2RDhlxjBr71ZVKMGA2kHNfI/xe8PHQvGk7pGUgu/368cZJOR+goA88NJmlPWkoA+i/gJ4tWaxk8PXEnzxnfDuPJ4wQPyr3JAMfSviPwlrUug+JLHUInKmNwGwcZBJzX2lp99BqVjDe2rboZlDqR6UAXKKKKACiiigAooooAKKKKACq11OttA8zsqoilmyeOKs15n8Z9fbRPBU8EcoWe7JVeecd/0oA+efiJ4lfxP4wvb0OTAGKQj0QHgVyVPZsnJOSetMoAcoz3r3H9n3w6LjUbvW5l/dxDZFkfxcc/rXiltA1xcRwqCXdwoxX2Z8P/Dq+GfCNjYFQJggaU45LED/AAoA6qloooAKKKKAMzWbaG70i5injV49hyGXI+oqt4QBHg7RSev2KIc/7orQ1If8S24x/wA8zVDwkP8AijtGz1+xw/8AoIoA26KKKACiiigAooooAKaSOadTSDzjg0AcN4w8ZPZyroujDz9XuDsG3lYeuS3p0NX/AAr4VttGU3k7CfVp+bm5PV3749q5/wCFOnQ3GnXeuSrv1G5uGWSZueOuB+dejpHt54zQA4cAj8qRQMkn8afjjmkx27UAcn4+8Mw+JvCl3ZSL+9RC8bDsQM8V8b3VtJbXDwTLtlQ4YEdD6V95MpPXpmvlf42eHV0PxlJcwjEF7++AAwA2TkUAeXHFJnjFDHLE0lAH0B8BPF7yNN4eupBhV324Pr0wPyr3yPpz1r4i8K61JoXiOw1GIkGGQAnOOCTn+dfaenahFqVjDeW7B4ZV3KwNAF2ikpaACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA88+H4/wCKt8Zf9hFv/Q3r0Ida89+H/wDyNvjL/sIt/wChvXoQ60ALRRRQAdBXBfFfw6PEHga9jVczWw89CBkkLzj9K72oJkRoXjkXcjgqw9jQB8FSKVcgjHPSmV3PxR8Kt4X8Y3MKLi2nPmRsOhzyQPpmuIwAaAAEY5/Cvoz4AeJY5tKn0KeX97C2+LJ+8CST/SvnXGFwOT1zXQeCtcuNA8VWF5bMVHmBJB6oSNw/LNAH20OKWoYHEkEbjoyAj8amoAKKKKACiiigAooooAhuJkt7eSdzhYkLt9AM18cfEfxK/ifxjd3IO6KM+VHjphTgGvrDxg0i+DNcMWfMFjNtx67DivjrWfDWraGIZL63dI5kDLKRwQQO9AGGQRRilKn2zT4ozK4jXlmOBQB698B/DBv/ABFLrM8Z8mzX5MrwzHKn8uDX00Pve1cX8M9ATw/4IsLfAEsqea575YA4rtFIIz60AOooooAKKKKAPP8A4u/8ig3+9/UV6BXn/wAXf+RQb/e/qK9AoAKKKKACiiigAooooAKT+KlpP4qAOJ+G/NnrZPX+1rj+ddsK4n4b/wDHnrf/AGFp/wCddsKAFooooAawJHXFeY/Gjwumu+EJLpELXNifNTaOWB4x9BXp56VWu7eO6tJoZUDJIhVge4IoA+DCMY57ZptdT458Mt4X8VXGnldsW4vH/u5NcvxigB69RtJyK+lvgP4pOoaFJotw+ZbT/VFjz5fQD+dfNIzg4Arrvhzr0mg+NLKeNj5LyBJB2Oc4z+dAH2ZS0gpaACiiigAooooAKKKKAEzzXyl8bPE51rxlLYxNm3sSUA/28kGvqw18xa98Mr3xD/bev6ZKJZk1CYSQnqQD2oA8hPJpMH0qzcW01rM0M0LxyrwVcEEYqDPfv3FAHdfCfw+2veNrMbQYbc+bKSOnavr2JcIoJBYdTXk3wK8LjSfDTatKhW4vhxn+5xXrgPYUAOooooAKKKKAKmpf8g24/wBw1n+Ef+RO0b/ryi/9BFaGpf8AIOuP9w1n+Ef+RO0b/ryi/wDQRQBt0UUUAFFFFABRRRQAUh60tIetAHAfCL/kUX/6+X/kK78VwHwj/wCRRf8A6+X/AJCu/FAC0UUUAIehrzH4y+FG8ReFDcQDNxZEyL6kYGf0ya9OPQ1XuLdLi3e3kUFJFKn6EYoA+Czz6ZpMYrsfiL4Yfwv4turQKBauxeEgcbeelcgcHJPA9qAAHj6V9KfArxguo6KdCuWPnWYHlk/xLnAFfNi9+M56Cuw+GWoXOm+O9MnhLmMzKkgHTB45/OgD7KHIpaQUtABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAeefD/8A5G3xl/2EW/8AQ3r0Ida89+H/APyNvjL/ALCLf+hvXoQ60ALRRRQAVGc7x/dA5qSigDyD46eGm1HwpHqMKF5rNjnA52k5J/IV8xbSc5HPf2r7u1Kwh1PT7iznXMUylWx3BGK+L/EuhzaR4ovdMSN9yzERpgkspPyn8qAMaGGSeRIYkZ5GICKozmvYtA+F76V4OuNd1eIpdkgxRH+Ae9dZ8KfhVHpFvDrOsxhrx1DRxEZCg8gnNd78QMDwjcqAMZXHNAHR2P8AyD7b/rkv8qs1Wsf+PC2/65L/ACqzQAUUUUAFFFFABRRRQBheMT/xReudf+PCbp/uGsyy8Pad4j8C6ZZ6nbrcRNaR8vyw+UetavjD/kTNb/68Zv8A0A07wt/yKmk/9esf8hQB83/ET4RX/hdpL7TN9zp3U4XLJ/8AWrnfhv4bfxH4zs7QKypERLISOy/Nj8cV9h3EUdzG8UsYkRhhlboRXnnhPR9P0r4peIYrGBY1+yW7jA4UktmgD0SKJY41RF2qOAB2H+RU2MEUdqWgAooooAKKKKAPP/i7/wAig3+9/UV6BXn/AMXf+RQb/e/qK9AoAKKKKACiiigAooooAKT+KlpP4qAOJ+G//Hnrf/YWn/nXbCuJ+G//AB563/2Fp/512woAWiiigBD0pMcU6jFAHhn7QHhk3Nhba3BGWeH5JcDov/66+dsEnIHFfdGvaXFrGiXlhMgaOaNgQeeccfrXxff6Fd2viC40iOF5LiKQptwT360AZ1na3F7dRW1tGZJpCFVV6nNe1WXwxTwz4OXVtUQf2lJNEVQdEG9f8TXW/C34W2ugWcGqanHv1Fvuq3Re9dP8S/8AkVj1/wBdH3/21oA7b0paSloAKKKKACiiigAooooAQ9a4j4cJ/oetZADf2rPjHpmu2PX8K4v4c82etf8AYUn/AJ0AUfH3wu0vxdavPGqW+ogfJPjGfY4r5yufBWraV4ttdFu7VhNJMAhx99c84/AGvs5uh5wD1rzHx2dnxD8JkKpkNy3zY/h2GgD0DSdPTTdKtbOMBUhjCKAO3FaAGKRB8op1ABRRRQAUUUUAVNS/5B1x/uGs/wAI/wDInaN/15Rf+gitDUv+Qdcf7hrP8I/8ido3/XlF/wCgigDbooooAKKKKACiiigApD1paQ9aAOA+Ef8AyKL/APXy/wDIV34rgPhH/wAii/8A18v/ACFd+KAFooooAKiKHJOM54xmpaKAPGPj14c+2eHrbUreLL2rFZG77eMfqa+bCuR9cGvuTX9Ki1rRLuwmXck0ZGDzyOlfIS+CtVn8ZTeHoISbiOUozAcAZ60AZmg+H9Q8QapDY2MLNJIQN2DhR6mvoSD4fWHgvQNMUIJL5rqLzZTznLrwK67wL4EsfBelJHGqvduP30/ckip/HH/Hnp/Ix9tj/wDQxQB1g60tIOtLQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHnnw/wD+Rt8Zf9hFv/Q3r0Ida89+H/8AyNvjL/sIt/6G9ehDrQAtFFFABRRRQAxhzmvJr3RrC++Pcf2m3VyLPeeOMhRivWzXmh/5L4v/AF4H/wBAFAHo/l/KFzgDoPauY+IK48I3I7blrrK5X4g/8ilc/wC8KAOhsf8Ajwtv+uS/yqzVax/48Lb/AK5L/KrNABRRRQAUUUUAFFFFAGH4w/5EvXP+vCb/ANANP8Lf8itpP/Xqn/oIpnjD/kS9c/68Jv8A0A0/wt/yK2k/9eqf+gigDXZc/XFcLoQz8V/Efp9its/m1d2elcLoX/JWfEf/AF5W382oA7uiikJoAWmF8fX0pSwwecV5J8UfipH4chfTtHlWW/kyGkU58qgD1aK5imdljlVyv3gpzip68V+A+pXWqQ6nc3k8k1w7kuWbgc9q9q7UAef/ABd/5FBv97+or0CvP/i7/wAig3+9/UV6BQAUUUUAFFFFABRRRQAUn8VLSfxUAcT8N/8Ajz1v/sLT/wA67YVxPw2/49Nb/wCwtP8AzrthQAtFJS0AFFFFADGUk8GvK9J0uzl+OGtSGBGZLZZOR/EWIJ/SvVz0rzPRP+S2a5/15p/6G1AHpW0HsK4v4lpt8KHH/PaL/wBDWu2ri/iZ/wAiqf8ArvH/AOhrQB2neijvRQAUUUUAFFFFABRRRQAh6/hXFfDj/jz1n/sKT/zrtT1/CuK+HH/HnrP/AGFJ/wCdAHaEAjoK8w8fYHxB8Jcf8vLf+gGvUK8v+IH/ACUDwn/18t/6AaAPUB0FLSDtS0AFFFFABRRRQBU1L/kHXH+4az/CP/InaN/15Rf+gitDUv8AkHXH+4az/CP/ACJ2jf8AXlF/6CKANuiiigAooooAKKKKACkPWlpD1oA4D4R/8ii//Xy/8hXfiuA+Ef8AyKL/APXy/wDIV34oAWiiigAooooAaelea+G40Pxj8R5ReLZCDj/bNelHpXnHhv8A5LH4l/69U/8ARhoA9G2jjPNcr45ULaafj/n8i/8AQ1rq8j1rlPHR/wBE0/8A6/Iv/Q1oA6wdaWkHWloAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDzz4f/API2+Mv+wi3/AKG9ehDrXnvw/wD+Rt8Zf9hFv/Q3r0IdaAFooooAKKKKAA15mf8Akvi/9eB/9AFemGvMz/yXxf8ArwP/AKAKAPTK5X4g/wDIpXP+8K6quV+IP/IpXP8AvCgDobH/AI8Lb/rkv8qs1Wsf+PC2/wCuS/yqzQAUUUUAFFFFABRRRQBh+MP+RL1z/rwm/wDQDT/C3/IraT/16p/6CKZ4w/5EvXP+vCb/ANANP8Lf8itpP/Xqn/oIoA2O1cJoX/JWfEf/AF5W382ru+1cJoX/ACVnxH/15W382oA7yopTtIOTUtcV8T9bvPD3ga91Cxfy7hdqK3pk4yKAOX+J/wAUrXw3bS6Tpspm1N1KOynIhGMHPqea+ZbieW4neWaRpJGJLMx5J70+7vbi/uprm5lMk0zbnduSTmqpJz1oA+iP2dP+QfqP+9Xu1eE/s6f8g7Uv89692oA8/wDi7/yKDf739RXoFef/ABd/5FBv97+or0CgAooooAKKKKACiiigApP4qWk/ioA4n4b/APHnrf8A2Fp/512pPvXFfDb/AI9Nb/7C0/8AOu0bdQAhPQ5x9aAwxjd1714j8a/E2p+Hdb0yaxuXjwQxQEgNjJwa6LwB8W9P8VeXZ3+y0v2Hyoxwrn/Z9aAPTh1xTqiVgFGTz2z3p4cHjFACk8V5pon/ACWzXP8ArzT/ANDavSzXmmif8ls1z/rzT/0NqAPTO1cX8TP+RVP/AF3j/wDQ1rtO1cX8TP8AkVT/ANd4/wD0NaAO070Ud6KACiiigAooooAKKKKAEPX8K4r4cf8AHnrP/YUn/nXanr+FcV8OP+PPWf8AsKT/AM6AO1ry/wCIH/JQPCf/AF8t/wCgGvUK8v8AiB/yUDwn/wBfLf8AoBoA9QHb6UtIO30paACiiigAooooAqal/wAg64/3DWf4R/5E7Rv+vKL/ANBFaGpf8g64/wBw1n+Ef+RO0b/ryi/9BFAG3RRRQAUUUUAFFFFABSHrS0h60AcB8I/+RRf/AK+X/kK78VwHwj/5FF/+vl/5Cu/FAC0UUUAFFFFACHpXm3hv/ksfiX/r1T/0Ya9JY4Ga818N5Hxh8S54zaJj/vs0AeiswHoF7k9q5LxjPDc2GnyQSrIv22L5lOR95eKxviz44j8MaA1pBJi/uwVUA/dXGDXJeBbiW5+G2nvNKzsdUTJY5OdyGgD3gUtIOtLQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHnnw//wCRt8Zf9hFv/Q3r0Ida89+H/wDyNvjL/sIt/wChvXoQ60ALRRRQAUUUUAIa80P/ACXtP+vA/wDoAr0pjtOa8ykkWP48IWzxp7En/gAoA9OzXK/EL/kULn/eFee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} | "$\\boxed{A}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The picture on the right has been drawn on paper and cut out to make a house. Which of the houses does it make?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "descriptive geometry" | MathVision |
404 | A bar-code is formed by 17 alternating black and white bars (the first and the last bars are black). The black bars are of two types: wide and narrow. The number of white bars is greater by 3 than the number of wide black bars. Then the number of narrow black bars is
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} | "$\\boxed{4}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A bar-code is formed by 17 alternating black and white bars (the first and the last bars are black). The black bars are of two types: wide and narrow. The number of white bars is greater by 3 than the number of wide black bars. Then the number of narrow black bars is\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
405 | In the picture below you can see a road from town $M$ to town $N$ (a solid line) and a detour (a dashed line) of segment $K L$, which is under repair. How many more kilometers does one have to travel from $M$ to $N$ using the detour?
<image1> | {
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"path": null
} | "$\\boxed{6}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In the picture below you can see a road from town $M$ to town $N$ (a solid line) and a detour (a dashed line) of segment $K L$, which is under repair. How many more kilometers does one have to travel from $M$ to $N$ using the detour?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "metric geometry - length" | MathVision |
406 | Which numbers are written in the area that belongs to the rectangle and to the circle but doesn't belong to the triangle?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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oooAKKKKACiiigAooooAKKKKACiiigBrZIIBwcda4+2H9u/EO5uiC1nocf2aHIyGuZBukYH1VNi+2410mqajFpWmXeoXBxDbQvK59lGf6GsjwRp0th4WtGux/p15uvLskYPmynewP0zt/AUAdHtyOa5jxtZ28fgvxJcpBGs8uny+ZIEG5sIcZPtXU1z3jk48Ba/x/y4Tf+gGgDK+Egx8L9EA/uy/+jXrtq4n4Sn/i2Gi/7sv/AKNeuzLc49f50AKTz04rk9f8QXJvl0HQFSbWJF3SSNzHZJ/z0k9/Rev4UviDX7ttQGgeH0WbV5VBlkbmOyjP/LST/a/ur3rQ8PaBa6BYGGEvNPLIZLm5l5knk7ux/kO3SgBfD3h608P2JghLTTyv5lzdS8yTyd3Y/wAh0HatsCkAwadQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHP+N/+RC8Qf8AYOn/APRZrV0z/kF2f/XBP/QRWV43/wCRC8Qf9g6f/wBFmtXTP+QXZ/8AXBP/AEEUAW6KKKACiiigDJ8QaRFr+g3umSnAuIiqtz8j/wALcd1YA/hVXwhq0uteG7W5uhsvY90F0meUmQlXB/EZ/Gt89a5DTFOkfELVdP5FvqsK6hCMAASriOYD3IEbfiaAOwooHSigAooooAKKKKACuV8d/wDIK03/ALC9j/6PWuqrlfHf/IL03/sL2P8A6PWgDqaWkpaACiiigAooooAKKKKAOb1r/kdfDH/b1/6LFdJXN61/yOvhj/t6/wDRYrpKACiiigAooooAKKKKACikzmlFABRRRQAUUUh6UAcl47JvLDTtETk6tqENu6g4PlKfMlP/AHwh/OusUcVyV3tvvifpsLKWTTdNluc9g8zrGv47Vf8AOuvFACNnFct4vstd1jQ77SdLg0/ZdwmIz3F06kAjB+VY2zx7iupNMYgYzQBxngTRtf8AC+g2eiX8enS29uX/ANIhunL7WYt9wxgdT/e7/gbOua/eTakPD/h0I+qsga5nkXdHYRnozju542p36nA5Ka7r95cah/wjvh7Y+rMoa4uGG6OwjP8AE47uf4U79TheutoHh+z8PaebS13uzOZJ55TuluJTy0jt1LGgBNB0Cz0GxMNrveWRt9xcTNulnfuzt3Pt0HQYArZxQAB0paACiiigAooooAKKKKACikBpaACikzS0AFFFFABRRRQAUUUUAFFFFAHP+N/+RC8Qf9g6f/0Wa1dM/wCQXZ/9cE/9BFZXjf8A5ELxB/2Dp/8A0Wa1dM/5Bdn/ANcE/wDQRQBboopM0ALRRSZoACARzXJeMl+xXuga6vWx1BIZmLYCwz/umJ9txQ/hXXVg+M9O/tTwZrFmq5kktJDGPVwpK/qBQBuBvrTqztD1AavoWn6kBj7XbRzY9Nyg4/WtGgAooooAKKKKACuV8d/8gvTf+wvY/wDo9a6quV8d/wDIL03/ALC9j/6PWgDqaWkpaACiiigAooooAKKKKAOb1r/kdfDH/b1/6LFdJXN61/yOvhj/ALev/RYrpKACiiigAooooAKoapqNvpGnz392xWCFdzYGS3YKB3JJAA7k1fqleWUF35PnqGWGVZlB6bl+6fwOD9QKAPOtW8e+NdOt21MeCWj0pfm3TXAMu31ZV5T1OQcAH8Ox8I+J7PxfoEWrWasisxR426xuOo9+CCD6EVpXs1vbWNxcXbIltHEzSs54CgEnPrjH864j4N6NcaR4IEtxG0X2+5e5jibqsZCqufchc/jQB6NRRRQAUhpaQ9fwoA5TQA8/jnxXdscrG1raJjp8sW8/rLXV9q5TwOTJ/wAJHcHOZdbuRz/sbY//AGSupZiMcGgAZsde/HSuU1zXby7vjoPhzy5NTIBublhuj09D0ZvVzj5U79TxTNb1y91DUG8O+HWX7fjN5eMN0enp6n1lP8K/ieOa2dC0Oy8P6ctlZo23cXkkkO6SaQ/ekdu7Huf5dKAE0DQbLw/p/wBltvMdncyzzyndLPKeWd27sf8A9VbAAHSgAUtABRRRQAUUUUAFFFFABWRqutWmkqPOaaSdlLR21vGZJZMf3VHP4ngdyBmtembADnHJ/WgDk/AnjIeNdOvr+O0a2hhu2gjVzlioVTk+hyx45rT1/XDpFtEILOa+v7hiltZwkBpD3OTwFA5LHgcdyK4X4Dj/AIpPU/8AsJP/AOi0r0uSKBJPtcgQMkZBlbHyr1PJ6DjJ+g9KAPNL34keIvDWqWy+KvDC2Wn3MmxJ4LgSbR7kHBI64O3gHGeg9UU575GeteReM/FPhLxXqul+G31aE2QuluLm4jBdGKgqI1cDGTkgtnAAr1yMqUBQgrjgjpQA+iiigAooooAKKKKACiiigDn/ABv/AMiF4g/7B0//AKLNamnHGlWh/wCmCdf90Vl+N/8AkQvEH/YOn/8ARZrV00Z0q0/64J/6CKAMbxD4usvD9nczSR3F3PAhd4LWIyMgx1cgYRfc++M1J4O15/E/haz1h4RAbkyHy92doEjKBn1wBTPHKL/wgXiDgc2ExPv8hrL+EvPww0XHdZTz/wBdnoA0vEPiYaVqOnaTaQC61bUWIggL7VVQMs7kAkKACeBzjFU9R8U3nhm7sRr0Vs1hezCBby13AQyHO0OpzkHB+YHt0rlrCZtR/aK1FZDlbKw2R8/dGEP85D+da3xoiWT4c3TMMlZ4iM9vmx/U0AehK2aUgMCD0NYfhC7e+8HaLdSMWklsYWcn12DP65rcPSgDlfh6Hi8GWtpI2Xs5p7Rvby5XQD8gK6kkg9+ma5XwSDFJ4lt248vW7ggezhJP5ua6sgH60Ac54m8a6L4Utmk1K6Hm4yltF80j/h2HucCtXS9QXU9HtNRRSiXUCTqrclQyhsHH1rifi5Z21t8M9XaGGKMySwu5RANzGVeT6mur8JD/AIozQznrp9v/AOi1oAk1nX9M8P2bXeqXsVtCASNx5bHUKOpP0qv4W8S23ivRRqlnFJHbtI6J5mNxCnGcDpTvEFnbf2Jq915MYuGsJkMoXD7dhOM9cVzHwV5+G9qc5Jnl/wDQqAPQ65Xx3/yC9N/7C9j/AOj1rqq5Xx3/AMgvTf8AsL2P/o9aAOppaSloAKKKKACiiigAooooA5vWv+R18Mf9vX/osV0lc3rX/I6+GP8At6/9FiukoAKKKKACiiigAqNm5x2PHXv6VIawvFGkX2taJNYafqh0yWYbHuViLsE7gYZcE+uaAMy5A8Y3P2UceH4HzcSg8Xsin/Vqf+eYb7x/iIwOAc9Is0KTpaqyLJsLrGCM7QcE49ASPxNebwfC/wAT28EcMHxGv4oohtREtWAVfQDzeldL4P8ACFx4ce8utQ1q51i+uSo+03CkFI16IMs3GSTweePQUAdcDkUtIOlLQAUh5paacn/GgDmPBKlNHvW3Al9VvW5HT/SHH9Kg1vXb2+1F/DnhyRf7QwPtl6V3R2EZ7t6yEfdX8TgVzuia5qWofb/Dugp5d2mp3ZvL6Vf3dnG07kY/vSEH5R04ya7zQ9CsdA09bOxVtm4u8kjbpJXPV3bqzH1oATQtDstA01LKyR8Al5JZG3STOeru3VmPr7DsBWtgAdKAMUtABRRRQAUUUUAFFFFABRRRQAUmT6UtZeqW2qTxFNM1C2syVILzWhnIJ6EfOo4980Aee/Ac/wDFI6mfXUX/APRaV6mTweOMc1wfgrwHqfgqCa1ttetrm1nkEsiS6ewOcAHDCXjIA6g1b8WeFta1fVLLUtG8S3Gmz2y7fJILQyc5yVBAJ9Sc8AcUAUfin4c0rU/Bep3tzawC6tYTLFcFQGG3+Hd1wemDxz610HgYXS+B9EF6XM/2OPdv64xxn3xiqz+Hb/WI4YvEeowXdvGyubW0tzFHKw5BclmLAEZwNo9Qa6hVAAC4AHAxQA+iiigAooooAKKKKACiiigDn/G//IheIP8AsHT/APos1q6b/wAgq0/64J/6CKyvG/8AyIXiD/sHT/8Aos1qad/yCrT/AK4J/wCgigDJ8dH/AIoLX8f9A+f/ANANZXwlI/4VhouM4xL1/wCuz1o+KND1XxDpd5pttqttZ2tzGY5N1k0kmD1w3mKORx0/Gq/g7wxqnhXSodKfWLa8soWchTZNHINzFsbvNI7+lAHJ2ELaf+0XqBcbRf2AaPPcBUyfzjNanxqnWP4dToScy3MKL9d27+QNb/iHwuuq6jYaxaXH2PVtPYmC48sOrIfvI4yMqckdRjJNVr3wvd69fWM2vXVvLa2MgmjsraIqskoGAzsSSQP7oGPrQBr+FbJ9N8J6RZSrtlgs4o3H+0EGf1zWwetIo465NKeDQBzHhjYuv+K4l4I1JWx9beH+oNdPXL+GSkuu+KpFBydTVDn/AGYIf/r105zQBwnxi5+GWpjHVof/AEaldH4RP/FF6F/2D7f/ANFrXPeP9C8R+K9Cn0ayi0uCCR0ZppbqQsVU7sbBHxyB3rY8K2mtaXotlpupwWAW0t1hE1tcs+/aAB8rRrjgepoA0PER/wCKZ1b/AK85v/QDXH/BXj4bWn/XeX/0Kui8TRa5eaZd2Olw2GLmBovOubl0KFgRwqxtnqO9Yfw+8PeIvCGhro97HplxCkrOJobqTcobHG0xeuT170Ad7XK+O/8AkF6b/wBhex/9HrXUjpXLeO/+QXpv/YXsf/R60AdTS0lLQAUUUUAFFFFABRRRQBzetf8AI6+GP+3r/wBFiukrm9a/5HXwx/29f+ixXSUAFFFFABRRRQAUY5oooAQAAcUuKKKACiimFiD7UAKSe1cbret3mq6lJ4c8OSkXI4v78LlLJT29DKecL7c07WdZvtWv38PeHZNtyPlvtRAylkvp7ykdF7ZyeBUOl+IPBPhmOPRLTWbKN0bDBpd7O5+8zv03E9ST6dsCgA+HlgmlW+u6ZGXK2msTIjyNudwyRuCx7n5vyArt1AxxXI6E5g8deJrbcrR3C2t7HtYHhkaMk+37ofnXXCgBaKK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} | "$\\boxed{B}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Which numbers are written in the area that belongs to the rectangle and to the circle but doesn't belong to the triangle?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
407 | How many white squares must you paint grey so that the number of grey squares is exactly half that of the white squares?
<image1> | {
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"path": null
} | "$\\boxed{3}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "How many white squares must you paint grey so that the number of grey squares is exactly half that of the white squares?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "arithmetic" | MathVision |
408 | Which of the rectangles $\mathbf{A}$ to $\mathbf{E}$ can be covered by the pattern on the right-hand side in such a way that the result is a totally black rectangle?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{D}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Which of the rectangles $\\mathbf{A}$ to $\\mathbf{E}$ can be covered by the pattern on the right-hand side in such a way that the result is a totally black rectangle?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "descriptive geometry" | MathVision |
409 | In this picture there is what I saw on four different clocks at the same time. Only one of them had the right time. One was 20 minutes fast. Another 20 minutes slow. One had stopped some time ago.
<image1>
What was the right time?
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{B}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In this picture there is what I saw on four different clocks at the same time. Only one of them had the right time. One was 20 minutes fast. Another 20 minutes slow. One had stopped some time ago.\n<image1>\nWhat was the right time?\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "logic" | MathVision |
410 | A cube (on the right) is colored in three colors so that each face has exactly one color and the opposite face has the same color. Which of the following developments is the development of this cube?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A cube (on the right) is colored in three colors so that each face has exactly one color and the opposite face has the same color. Which of the following developments is the development of this cube?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "solid geometry" | MathVision |
411 | This figure is made of squares. What is the side of the biggest square?
<image1> | {
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} | "$\\boxed{64}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "This figure is made of squares. What is the side of the biggest square?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "metric geometry - length" | MathVision |
412 | There are five houses on Color Street: a blue, a red, a yellow, a pink, and a green one. The houses are numbered from 1 to 5 (see picture). The red house is the neighbor of the blue house only. The blue house stands between the green and red houses.
<image1>
Which color is the house with number 3?
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "There are five houses on Color Street: a blue, a red, a yellow, a pink, and a green one. The houses are numbered from 1 to 5 (see picture). The red house is the neighbor of the blue house only. The blue house stands between the green and red houses.\n<image1>\nWhich color is the house with number 3?\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "logic" | MathVision |
413 | A large cube consists of 125 small black and white cubes, such that any two adjacent faces of the small cubes have different colors, the corner cubes being black. How many small black cubes are used?
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",
"path": null
} | "$\\boxed{63}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A large cube consists of 125 small black and white cubes, such that any two adjacent faces of the small cubes have different colors, the corner cubes being black. How many small black cubes are used?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "solid geometry" | MathVision |
414 | This is a multiplication table. Which two letters represent the same number?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "This is a multiplication table. Which two letters represent the same number?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
415 | A butterfly sat down on a correctly solved exercise. What number is the butterfly covering?
<image1> | {
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"path": null
} | "$\\boxed{500}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A butterfly sat down on a correctly solved exercise. What number is the butterfly covering?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "arithmetic" | MathVision |
416 | At noon the minute hand of a clock is in the position shown on the left and after the quarter of an hour -- in the position shown on the right. Which position the minute hand will take after seventeen quarters from the noon?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{A}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "At noon the minute hand of a clock is in the position shown on the left and after the quarter of an hour -- in the position shown on the right. Which position the minute hand will take after seventeen quarters from the noon?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "arithmetic" | MathVision |
417 | In the diagram every of the eight kangaroos can jump to any empty square. What is the least number of kangaroos that must jump so that each row and each column have exactly two kangaroos?
<image1> | {
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",
"path": null
} | "$\\boxed{1}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In the diagram every of the eight kangaroos can jump to any empty square. What is the least number of kangaroos that must jump so that each row and each column have exactly two kangaroos?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "counting" | MathVision |
418 | John has a chocolate tablet consisting of square pieces of $1 \mathrm{~cm} \times 1 \mathrm{~cm}$. He has eaten already some pieces in a corner (see the picture). How many pieces John still have?
<image1> | {
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} | "$\\boxed{60}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "John has a chocolate tablet consisting of square pieces of $1 \\mathrm{~cm} \\times 1 \\mathrm{~cm}$. He has eaten already some pieces in a corner (see the picture). How many pieces John still have?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "metric geometry - area" | MathVision |
419 | A square piece of paper has been cut in three pieces. Two of them are in the picture on the right. What is the third one?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{B}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A square piece of paper has been cut in three pieces. Two of them are in the picture on the right. What is the third one?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
420 | A frame of a rectangular picture is made from planks of equal width. What is the width of these planks (in centimetres) if the outside perimeter of the frame is $8 \mathrm{~cm}$ more than the inside perimeter?
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} | "$\\boxed{1}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A frame of a rectangular picture is made from planks of equal width. What is the width of these planks (in centimetres) if the outside perimeter of the frame is $8 \\mathrm{~cm}$ more than the inside perimeter?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
421 | You can make only one rectangle with the perimeter consisting of 6 matches (see the picture). How many different rectangles with the perimeter consisting of 14 matches can you compose?
<image1> | {
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} | "$\\boxed{3}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "You can make only one rectangle with the perimeter consisting of 6 matches (see the picture). How many different rectangles with the perimeter consisting of 14 matches can you compose?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorics" | MathVision |
422 | Two traffic signs mark the bridge in my village. These marks indicate the maximum width and the maximum possible weight. Which one of the following trucks is allowed to cross that bridge?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{D}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Two traffic signs mark the bridge in my village. These marks indicate the maximum width and the maximum possible weight. Which one of the following trucks is allowed to cross that bridge?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
423 | The figure shows a rectangular garden with dimensions $16 \mathrm{~m}$ and $20 \mathrm{~m}$. The gardener has planted six identical flowerbeds (they are gray in the diagram). What is the perimeter (in metres) of each of the flowerbeds?
<image1> | {
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} | "$\\boxed{24}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The figure shows a rectangular garden with dimensions $16 \\mathrm{~m}$ and $20 \\mathrm{~m}$. The gardener has planted six identical flowerbeds (they are gray in the diagram). What is the perimeter (in metres) of each of the flowerbeds?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "metric geometry - length" | MathVision |
424 | Five cards are lying on the table in the order 5, 1, 4, 3, 2. You must get the cards in the order 1, 2, 3, 4, 5. Per move, any two cards may be interchanged. How many moves do you need at least?
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"path": null
} | "$\\boxed{3}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Five cards are lying on the table in the order 5, 1, 4, 3, 2. You must get the cards in the order 1, 2, 3, 4, 5. Per move, any two cards may be interchanged. How many moves do you need at least?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
425 | Which of the following cubes has been folded out of the plan on the right?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Which of the following cubes has been folded out of the plan on the right?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "descriptive geometry" | MathVision |
426 | Betty keeps drawing three different figures in the same order. Which figure should be the next?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{D}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Betty keeps drawing three different figures in the same order. Which figure should be the next?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "transformation geometry" | MathVision |
427 | How many cubes have been taken from the block?
<image1> | {
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"path": null
} | "$\\boxed{7}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "How many cubes have been taken from the block?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "solid geometry" | MathVision |
428 | A kangaroo enters a building. He only passes through triangular rooms. Where does he leave the building?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A kangaroo enters a building. He only passes through triangular rooms. Where does he leave the building?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "graph theory" | MathVision |
429 | From which rectangular can you cut the figure shown on the right side out?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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2Rc52sRnHJPOM16FSEA9qAPNfD+veL9G02DTNa8J3t3cwII0urSWJhKF4XdlsA4wCc9+1b1lDr+r6nBd6pjTLS3YvHYwTb3lfBGZXHG0Z+4vc8k8V1e3Pajb6gUAHbpXn3xUs4NQsfDNndx+Zb3HiC1ilTJG5WDgjI56HtXoWBnNcR8SevhD/ALGWz/k9ACD4QeBP+gF/5Nz/APxdL/wqDwJ/0Av/ACbn/wDi67cUtAHDf8Kg8C/9AL/ybn/+Lrk9B+HPhS98eeLdNuNKL2dh9j+zR/aJR5fmRFn5DZOT6k+1ey1w/hf/AJKl48/7h/8A6INAB/wqDwJ/0Av/ACbn/wDi6P8AhUHgT/oBf+Tc/wD8XXcUGgDxr4jfDfwroHgTUtT03Svs93B5Xly/aJXxmVFPDMR0J7VreGPhd4O1Dwto99daP5lxc2MMsr/aphuZo1JOA+Bye1a/xf5+F2sf9sP/AEfHW14J/wCRD8O/9gy2/wDRS0AYv/Cn/An/AEA//Juf/wCLo/4VB4FH/MD/APJuf/4uu4oNAHguq+BfDdr8Z9C8PRaeV0u6smmlg8+Q7mCznO7duH3F6HtXoP8AwqDwJ/0Av/Juf/4usPXf+TjPDP8A2DH/APQbmvVBQBw//Cn/AAL/ANAL/wAm5/8A4ul/4VD4F/6AX/k3P/8AF13FB6UAeDfCTwL4c8T+Fbm+1nTvtNwl68Sv58iYURxkDCsB1Y/nXoH/AAqDwJ/0Av8Aybn/APi6w/gIP+KFvf8AsJyf+i4q9UoA4f8A4VB4F7aH/wCTc/8A8XXn/wAW/Anhzwv4Utb3R9O+zXEl8sTP58j5UxyHGGYjqo/KveK8r+Pv/Ii2P/YST/0VLQBtD4P+Bt3Oh/8Ak3P/APF0/wD4VB4E/wCgF/5Nz/8AxdduKWgDhv8AhUHgX/oBf+Tc/wD8XXJ6D8OfCl7488W6bcaUXs7D7H9mj+0Sjy/MiLPyGycn1J9q9lrh/C//ACVLx5/3D/8A0QaAD/hUHgT/AKAX/k3P/wDF0f8ACoPAn/QC/wDJuf8A+LruKDQB418Rvhv4V0DwJqWp6bpX2e7g8ry5ftEr4zKinhmI6E9q1vDHwu8Hah4W0e+utH8y4ubGGWV/tUw3M0aknAfA5Patf4v8/C7WP+2H/o+OtrwT/wAiH4d/7Blt/wCiloAxf+FP+BP+gH/5Nz//ABdH/CoPAuP+QH/5Nz//ABddxQaAPE18OaT4Y+Pfhuy0i0+zQPZSTFPMZ8sY5wTliT0UflXtYFeV65/ycX4X/wCwY/8A6DcV6rQAUjdKWigDifiRaazq3hW70fR9IlvJbtVBkEsUaR4cNzvYE9O1cf8ADTRPFvgq31GG98L3E/2lo3QxXlvwV3Ag5fvmvZQoHQAUbR6UAePah8O/EHjrxSmreJjFp9hGAkdlDJ5smwc4LD5QSScnn/D1m2tora3it4YhHFEioir0UAYAH0qxgelLigBCARgjNeHeDvCGieK/HHjldcsjdi11NvKzNIm3dLNn7rD+6Pyr3E9K8s+Fn/I9/EX/ALCY/wDRk9AG5/wqDwIf+YH/AOTc/wD8XR/wqDwJ/wBAL/ybn/8Ai67ig0AeNfEf4b+FdA8Banqem6V5F3B5XlyfaJXxmVFPDMR0J7V1Q+D/AIGB50P/AMm5/wD4unfGD/klms/9sP8A0fHXcDrQBxH/AAqDwJ/0Av8Aybn/APi6Q/B/wL/0A/8Aybn/APi67mkPSgDxz/hXHhRvir/Yh0vOnf2H9r8n7RL/AK3z9m7duz93jGce1dZ/wqHwL/0Av/Juf/4ukH/Jc/8AuWv/AG6ruBQBw/8Awp/wL/0Av/Juf/4usrxN8LPBun+FdXvbXR/LuLeymlif7VMdrKhIOC+DyO9enVh+NP8AkRfEP/YMuf8A0U1AHm3w4+HXhTXvAemanqOlefeT+b5kn2iVd22VlHAYAcAdq6z/AIVB4E/6AX/k3P8A/F0fB/8A5Jbo3/bf/wBHyV3FAHDn4QeBcH/iR8/9fc//AMXXDeMPCGheFfHPgX+xbI2pudTXzf30j7tskOPvMcfePT1r3E15V8U/+R6+HX/YTP8A6NgoA9VHU0tAooAKKKKAK9zJJDbSOkTzMqkiNMbnwOg3EDJ9yB7ivBfE/grxprnj+bxFb+HHSIzRPHHJeQBsIFXn5+Cdufxr6CIzSYFAHE3fiHxn9nb7H4Fl+0EDBl1G32g49m5/Sm/D3S9esrPUr7xLEF1a/vDLJ86tiMKoQAqSMDkAZ/ma7jaPSjAFAAehrhfi6pHwt1jjj9z/AOj467uuG+MH/JLdZ/7Yf+j46AE/4VB4HBx/YnHp9rnx/wCh07/hUHgT/oBf+Tc//wAXXbiloA4b/hUHgXtoeP8At7n/APi64DSvAnhu6+NGueH5dN3aZa2KTQwefINrEQ5O4NuP326nvXu9eWaD/wAnGeJ/+wZH/wCg29AG5/wqDwJ/0Av/ACbn/wDi6P8AhUHgT/oBf+Tc/wD8XXcUGgDzHxN8LPBun+FdXvbXR/LuLeymlif7VMdrKhIOC+DyO9ZPw5+HXhPX/AemanqOlefeT+b5kn2iVd22VlHAYAcAdq9H8af8iL4h/wCwZc/+imrD+D//ACS7RvrP/wCj5KAF/wCFP+BP+gF/5Nz/APxdIfhB4FxxoX/k3P8A/F13NBoA8G8e+BvDWi+K/B1jYad5MGpX3lXSefK3mJviGMljjh26YPNegf8ACoPAv/QC/wDJuf8A+LrC+Kf/ACPfw6/7CZ/9G29eqigDh/8AhT/gX/oBf+Tc/wD8XQfhB4FAOND/APJuf/4uu5oPSgDwfwD4E8N614r8Y2Ooab51vp195VqnnyL5a75RjIYE8KvXPSu//wCFQeBf+gF/5Nz/APxdYfws/wCR7+In/YTH/oyevVBQBw//AAqDwL/0A/8Aybn/APi65P4j/DfwroHgLU9T03SvIu4PK8uT7RK+Myop4ZiOhPavZa4b4wf8ks1n/th/6PjoAaPg/wCBgedD/wDJuf8A+Lp//Cn/AAJ/0Av/ACbn/wDi67cdaWgDhj8IPAoH/IDx/wBvc/8A8XWPoHhvSvDHxkey0i0+ywPoBlZBK75Y3ABOWJPRRXqDDIxXDr/yXP8A7ls/+lVAHc0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAIeBXlfwsI/wCE7+In/YSH/oyevVG6fzrwHw94p1Tw3448anTPDN5rf2nUW3/Zi37rbJLjO1G67j+VAHv9FeVf8LU8Vf8ARMdZ/OX/AOM0f8LU8U9vhlrOfrL/APGaANv4vsP+FXawM/8APD/0fHW54KOPAnh4H/oGW3/opa8j8d+Pde1vwbf6ffeBtS0u2m8vfdzl9se2RW5zGo5IA61peH/iP4ksPDul2cHw81a6gt7OKJJ0MgEgVQAwxEeCBnqaAPaKQnivK/8Ahanin/omOs/nL/8AGaD8VPFJ4/4VlrI98y//ABmgA13n9ovwyR/0DH/9Bua9Ur511HxlrNx8VdK1uTwhfw6hbWbRxaYxfzZkIlyw/d543t0U/drtv+FqeKf+iY6z/wCRf/jNAHqlBryv/hanin/omOs/nL/8Zo/4Wp4pPA+GWs/nL/8AGaAD4CnHga9Hf+05P/RcVeqV86/DLxlrXh3w7c2um+ENQ1mF7x5Wmty+1WKoCnEbcjaDzj71dt/wtTxT/wBEx1n85f8A4zQB6pXD/Enr4Qx/0Mtn/wCz1h/8LU8U/wDRMdZx9Zf/AIzXN+LfHmv6qNC+1+BtUsfsmr291F5nmfvnTdiJcxj5mzgdfoaAPeB1NLXlI+KnirJz8MtYP0Mv/wAZpf8Ahanin/omOs/nL/8AGaAPVD0NeV/C3/ke/iJ/2Ex/6MnpD8U/FOD/AMWy1ge5Mv8A8Zri/BnjLWtI8S+Kru18IX+o3F/diS4toiwa0bdIdrYRjn5yOcfdNAH0VRXlX/C1PFP/AETHWPzl/wDjNH/C1PFPb4Zazn6y/wDxmgDc+L7f8Wu1j6wf+j463PBP/Ih+Hf8AsGW3/opa8i8dePtf1rwffafe+BdT0y2mMe+7nMm2PEisM5iA5IA61654JyPAvh4H/oGW3/opaAN6iiigAooooAKKKKACuH+L/wDyS7WPrB/6PjruK4b4wf8AJLNZ5A/1HJ/67x0AbfgogeA/D3/YMtv/AEUtbteL+H/iP4ksPDumWcHw81W5gt7OKKOdDKBKFQAMP3J4IHqa1P8Ahanin/omOs/nL/8AGaAPVK8q1vn9ovwyf+oY/wD6Dc0v/C1PFP8A0TLWR75l/wDjNcTqPjHWrj4q6Trb+EL+G/trNo4tMYv5syYlyw/d543t0U/doA+i6K8qHxU8U/8ARMdZ/wDIv/xmj/hanin/AKJjrP5y/wDxmgD1QniuG+EJH/CrdG/7b/8Ao6SsQ/FTxSR/yTHWfwMv/wAZrmvAnjzX9F8G2Gn2XgfUtTtofM2XcBfZJmRmOMRsOCSOvUUAe9UZryr/AIWp4p/6JjrP5y//ABmj/hanin/omOs4+sv/AMZoA3PiT18IY/6GWz/9nruB1NeD+LfHmv6qNC+1+BtUsfsmr291F5nmfvnTdiJcxj5mzgdfoa6MfFTxVk5+GWsH6GX/AOM0AerUh6GvK/8Ahanin/omOs/nL/8AGaD8VPFJB/4tlrA47mX/AOM0AL8LP+R6+In/AGEx/wCjJ69Tr528GeM9b0jxJ4pu7Xwhf6jcX92JLi2iLBrRt0h2thGOfnI5x9012v8AwtTxT/0THWPzl/8AjNAHqma4f4vsP+FXawM/88P/AEfHWH/wtTxT2+GWs5+sv/xmua8d+Pte1rwbf6ffeBtS0u2m8vfdzl9se2RW5zGo5IA60Aeu+C+PAnh4f9Qy2/8ARS1uV4x4f+I/iSw8OaVZw/DzVrqG3s4oknQyASBVADACI8EDPU1p/wDC1PFP/RMdZ/OX/wCM0AeqGvK9c/5OL8MH/qGv/wCg3NH/AAtPxSeP+FZayM9yZf8A4zXP6Zr9/wCIvjn4du7/AEK50aZLSSIW9xu3MojmO75kU9WI/CgD3Wik70tABRRRQAUUUUAFcP8AEnr4Q/7GWz/k9dxXnXxcu5bHSvD15BavdTQa9bSx28ed0rKshCDAPJIx0PWgD0QdKWvKv+FqeKR/zTHWvx83/wCM0f8AC1PFP/RMdZ/OX/4zQB6oa4fwuf8Ai6Xjz/uH/wDog1hn4qeKf+iY6x/31J/8ZrmtH8e69Z+MvEmoReBtTuLm++y+faL5m+22RlV3YjJ+YHIyBQB71RXlX/C1PFP/AETHWfzl/wDjNH/C1PFPb4Zazn6y/wDxmgDb+L7D/hV2sDP/ADw/9Hx1ueCjjwJ4eB/6Blt/6KWvI/Hfj3Xtb8G3+n33gbUtLtpvL33c5fbHtkVucxqOSAOtaXh/4j+JLDw7pdnB8PNWuoLeziiSdDIBIFUAMMRHggZ6mgD2ikJ4ryv/AIWp4p/6JjrP5y//ABmg/FTxSeP+FZayPfMv/wAZoANd5/aL8Mkf9Ax//QbmvVK+ddR8ZazcfFXStbk8IX8OoW1m0cWmMX82ZCJcsP3eeN7dFP3a7b/hanin/omOs/8AkX/4zQB6pQa8r/4Wp4p/6JjrP5y//GaP+FqeKTwPhlrP5y//ABmgA+Apx4GvR3/tOT/0XFXqlfOvwy8Za14d8O3NrpvhDUNZhe8eVprcvtViqApxG3I2g84+9Xbf8LU8U/8ARMdZ/OX/AOM0AeqV5X8fcf8ACC2P/YST/wBFS0f8LU8U/wDRMdZx9Zf/AIzXFfEzxjrXiTw5Baal4P1HRoo7tZluJ9+0kI428xrydx7np0oA+iARTq8nHxR8Uf8ARM9XbnqGlwff/U/X1p//AAtTxT/0THWfzl/+M0AeqGuH8Ln/AIul48/7h/8A6INYZ+Knin/omOsf99Sf/Ga5rR/HuvWfjLxJqEXgbU7i5vvsvn2i+ZvttkZVd2IyfmByMgUAe9UV5V/wtTxT/wBEx1n85f8A4zR/wtTxT2+GWs5+sv8A8ZoA2/i+w/4VdrAz/wA8P/R8dbngo48CeHgf+gZbf+ilryPx34917W/Bt/p994G1LS7aby993OX2x7ZFbnMajkgDrWl4f+I/iSw8O6XZwfDzVrqC3s4oknQyASBVADDER4IGepoA9ooPSvKv+FqeKf8AomOs/nL/APGaP+Fp+KTx/wAKx1n85f8A4zQAa5/ycX4Y/wCwa/8A6Dc16rXhWma/f+Ivjn4dvNQ0O50aZLSSJbe43bmURzHd8yKerEfhXunegBaKKKACiiigAooooAQ8CvK/hYR/wnfxE/7CQ/8ARk9eqN0/nXgPh7xTqnhvxx41OmeGbzW/tOotv+zFv3W2SXGdqN13H8qAPf6K8q/4Wp4q/wCiY6z+cv8A8Zo/4Wp4p7fDLWc/WX/4zQBt/F45+F2sgZP+o6D/AKbR13AIrwfx34913W/Bt/p9/wCBdS0y2m8vddzl9se2RW53RAc4x+NdEvxR8Uf9E01g56YaX8/9Tjn2oA9YpGPBryv/AIWp4p/6JjrP5y//ABmg/FTxQeP+FY6z+cv/AMZoA2ww/wCF6df+Za/9ua7qvBV8e69/wsb+2P8AhBtRN5/ZP2X7AN/mbPO3ed/q87SePu/jXS/8LU8U/wDRMtZ/OX/4zQB6rWH4z58C+IP+wbc/+imrhv8Ahanin/omOs/nL/8AGazdf+JPiTUPDmqWc3w81a0hntJYnuHMm2JWQgucxAYAOeSOlAHW/CA4+Fujf9t//R0ldz+NeD+BPHuv6J4N0/T7HwNqWqW8PmbLyEyBJAZGbjERHBJHXtXSf8LU8U/9Ex1n85P/AIzQB6oeleVfFHB8d/DrHT+0j/6NgoPxU8U4/wCSY61+Bk/+M1y2v+KNV8SeOfBP9peGbzRPs2poE+0bsTFpYs43IvTb+tAHvwpaQUtABRRRQAUUUUAFFFFABXDfGH/kles/9sP/AEfHXc1w3xgx/wAKs1nOcfuOn/XeOgDtwR+tKa8oX4peKP8Aomerkn0aTn3/ANT9fWn/APC1PFPT/hWOs/nL/wDGaAPVK8r0Hj9o3xN/2DI//Qbeg/FTxT/0TLWR75l/+M1xOl+M9at/ipq+uR+EL+a9ubRY5dMTf5kKgRjcx8vP8AP3R94UAfRdFeVf8LU8U/8ARMdZ/OX/AOM0f8LU8U/9Ex1n85f/AIzQB3HjP/kRfEH/AGDbn/0U1YPwfOPhbo2f+m//AKOkrk9f+JPiTUPDmqWc/wAPNWtIZ7SWJ7iQybYlZCC5zEBgA55I6VmeA/Huv6L4O0/T7HwNqWqW0XmbLyEyBJA0jNxiIjgkjr2oA96pD0NeV/8AC1PFP/RMdZ/OX/4zQfip4px/yTHWfwMv/wAZoAT4pHPjr4dkdP7TP/oyCvVRXzr4y8Zazq/iXwtd3nhC/wBOmsLwyQW8pfN2+6M7FzGDnKAcA9ehrth8U/FA4/4VlrJ+pk/+M0AeqUHoa8r/AOFqeKf+iY6z+cv/AMZoPxU8UkH/AItlrA47mX/4zQAvws/5Hr4if9hMf+jJ69Tr528GeM9b0jxJ4pu7Xwhf6jcX92JLi2iLBrRt0h2thGOfnI5x9012v/C1PFP/AETHWPzl/wDjNAHqma4b4vnPwu1kcn/UdB/02jrE/wCFqeKe3wy1nP1l/wDjNc1478e67rfg2/0+/wDAupaZbTeXuu5y+2PbIrc7ogOcY/GgD3gEU6vJ1+KPij/ommsHPTDS/n/qcc+1P/4Wp4p/6JjrP5y//GaAPVGPymuHBx8dP+5a/wDbmsI/FPxSQR/wrLWBnjrL/wDGai8I6/f+I/i/Jeajodzo8q6C0Qt7nO5lE6nd8yqerEdO1AHrdFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFACHoa8q+Fqg+OfiJ8o/5Cn/tSevVT0ryz4Wf8j38Rf8AsJj/ANGT0Aep4HpQRxS0GgDhPi6hHwu1jgHHkjnn/lvHW34KUnwL4ez/ANA227/9MlrH+L3/ACS7WPrB/wCj462vBP8AyIfh7/sGW3/opaAN3BoIpaKAPKNbXH7RXhcf9QxuvP8ADc16qFHYYryzXf8Ak4zwx7aa/wD6Dc16rQAmKQrkU6g9KAPKfgIv/FD3p4/5CUgz/wBsoq9Vryz4B/8AIi3v/YTk/wDRcdeqUAIRxXC/EdTu8IZ/6GWz/k9d3XDfEjr4Q/7GWz/k9AHcAcUYoFLQAjDKmvKvhaD/AMJ18QwD01P1/wCms9erHpXlXws/5Hv4if8AYTH/AKMnoA9U9qCOKWigDg/i6mPhdrGQD/qBzz/y3jrf8Ff8iH4eP/UMtv8A0UtYnxf/AOSXax9YP/R8dbfgn/kQ/Dv/AGDLb/0UtAG7RRRQAUUUUAFFFFABXDfF7/klus9P+WHX/rtHXc1w/wAX/wDkl2sfWD/0fHQBseClx4G8PcDH9mWx4/65LW/zWF4K/wCRD8O/9gy2/wDRS1vUAIRXlOtrj9orwwP+oY3Xn+G5r1Y15Xrn/Jxnhj/sGv8A+g3NAHqYUdhilxS0UAIRwcVwvwgT/i1+jYAA/fYx/wBdpK7s1w3wh/5Jbo3/AG3/APR0lAHce1BHFLRQBwnxHU7vCGf+hls/5PXdAcVw/wASPveEP+xls/8A2eu4HSgAxSEfKadQelAHlPwtX/iuviHg9NT9f+ms9eq+1eWfCz/ke/iL/wBhMf8AoyevVM0AIRxXC/F1P+LXaxkA48kc8/8ALeOu7rh/i/8A8ku1j6wf+j46ANjwUpPgXw9n/oG23f8A6ZLW/wA1heCf+RD8O/8AYMtv/RS1vUAIRkcjNeVa2oH7Rnhjj/mGP/6Dc16sa8q1z/k4zwx/2DX/APQbmgD1XvRRRQAUUUUAFFFFABXD/Enr4Q/7GWz/APZ67iuH+JPXwh/2Mtn/ACegDtgB2FLigUtACYrhfC64+KXjzjn/AIl+f+/Jru64fwv/AMlS8ef9w/8A9EGgDt8UEcUtBoA4T4uoR8LtY4Bx5I55/wCW8dbfgpSfAvh7P/QNtu//AEyWsf4vf8ku1j6wf+j462vBP/Ih+Hv+wZbf+iloA3cGgilooA8o1tcftFeFx/1DG68/w3NeqhR2GK8s13/k4zwx7aa//oNzXqtACYpCuRTqD0oA8p+Ai/8AFD3p4/5CUgz/ANsoq9Vryz4B/wDIi3v/AGE5P/RcdeqUAIRxXlPx7X/ihrHP/QTTHf8A5ZS+ter15X8ff+RFsf8AsJp/6KloA9QC85x0p+DRS0AJiuF8Lrj4pePOOf8AiX5/78mu7rh/C/8AyVLx5/3D/wD0QaAO3xQRxS0GgDhPi6hHwu1jgHHkjnn/AJbx1t+ClJ8C+Hs/9A227/8ATJax/i9/yS7WPrB/6Pjra8E/8iH4e/7Blt/6KWgDdwaQqD1GadQaAPKNbUD9ozwzx/zDH/8AQbmvV+9eVa5/ycX4XP8A1DH/APQbmvVaACiiigAooooAKKKKAEPQ15V8LVB8c/ET5R/yFP8A2pPXqp6V5Z8LP+R7+Iv/AGEx/wCjJ6APU8D0oI4paDQBwfxeQj4W6z9Ie/8A03jruAmGz/WuK+MH/JLNZ/7Yf+j467gUAGDSEce31p1IeRigDhVU/wDC8wccjw2ef+3kV3VcOvHxz/7ls/8ApVXc0AJisLxoP+KF8Q9f+Qbc9D/0yat6sLxp/wAiJ4h/7Blz/wCimoAwfhCN3ww0dvUz/wDo+Su6xXD/AAf/AOSXaN/23/8AR8ldzQAhHFeU/FAEeOvh2P8AqJn/ANG29er15T8U/wDkfPh3/wBhM/8Ao23oA9WFFHaigAooooAKKKKACiiigArhvjBn/hVmtY6/uP8A0dHXc1w3xg/5JbrP/bD/ANHx0AdqF+fPp70/mgdaWgBrDIryvQR/xkZ4m6Z/s1Pr923r1Y15XoX/ACcZ4n/7Bif+g29AHqdGKWigDB8af8iL4h6/8g256H/pk1YXwhG74YaO3qZ//R8lb3jT/kRPEP8A2DLn/wBFNWH8H/8Akl2jf9t//R8lAHcYoI4paDQB5R8UMr46+HgzjOpHpx/y1t69WxXlXxT/AOR8+Hf/AGEz/wCjbevVh0oATFIR8pp1B6UAeU/C1f8AiuviHg9NT9f+ms9eq+1eWfCz/ke/iL/2Ex/6Mnr1TNACEcVwnxeQj4W6z9Ie/wD03jrvK4b4wf8AJLdZ/wC2H/o+OgDtQmGz/Wn4NApaAGsOK4YLj458Z/5Fv/25ruj0rhh/yXP/ALlv/wBuqAO6ooooAKKKKACiiigAooooAKKKKACiiigAooooARiApJ6V5V8LD/xXXxE9DqfX/trPXqrdK+f/AA94V1XxL448aDTfEt7ov2bUn3/Z92Zd0kuMlXXpg9fWgD6AzRkV5Z/wqzxT/wBFO1n8pf8A49R/wqzxV/0U7Wfyl/8Aj1AG18Xmz8LtZxz/AKg/+Ro63PBeV8C+Hge2mWw/8hLXkfjvwDr2jeDdQ1C+8c6lqdvF5Ye1uBJsfMirzmRhxnPQ9K0/D/w58R6h4c0u7t/iDq1pFPaRSpbp5mIVZQQgxKOADj8KAPZs0jHA4/SvLf8AhVnir/op2s/lL/8AHqQ/CzxTjn4m6yfqJf8A49QA3XCP+Gi/DJBBH9mv05/huf8A6/616qp5r511HwZrFt8VdG0OXxhfzX1xZvLHqb7zLCoWX5VzITj5D0YdTxXbj4W+KTn/AIubrAPfAl/+PcUAeqZpGOBXlv8AwqzxV/0U7Wfyl/8Aj1Ifhb4pHX4naz+Uv/x6gBvwEOPBF4pPP9pSEA9SPLiGa9VzXzr8MvBWseIvDk93pvi+/wBGhS7MTQWu/azBFO75ZFGcMB07Cu4/4VZ4p/6KdrP5S/8Ax6gD1LP1rh/iT/zKJ6AeJbLt/v1i/wDCrPFPf4m6wfqsv/x6ua8W+Ate0v8AsP7V441O++16tBaxeaHHkSPuxKMyHkYI4weetAHu4P5fSlzXlY+Fnin/AKKbrI/4DL/8epf+FWeKv+inaz+Uv/x6gD1InjivK/hYf+K7+IgJ/wCYkD/5Fn7UrfCzxVjj4nazn/dl/wDj1cV4N8F6xrHiPxVaWXi++0+WwvPKnuYd++7bdIu59si8/ITyT940AfROaM15Z/wqzxV/0U7Wfyl/+PUf8Ks8Vf8ARTtZ/KX/AOPUAbXxeb/i12sY/wCmH/o6OtvwV/yIvh4emmW3/ota8k8eeAtf0XwhfajfeONT1S2iMYa0nD7JMyKozmRhwSDyO1eueCT/AMUL4e/7Bltj/v0tAG9RRRQAUUUUAFFFFABXD/F//kl2sfWDt/03jruK4b4v/wDJLdZ4B/1HX/rtH60AbXgs48C+HgRj/iWW3Gf+mS1vcV4x4e+HPiO/8NaVd2/xC1a1huLOGaO3TzNsSsgIUYlHABA/CtT/AIVZ4q/6KdrP5S//AB6gD1InivKdcIP7RXhlhyBprjI5x8tz/wDX/WpD8LPFOOfibrJ/CX/49XDaj4M1i2+K2jaHL4vv5r64s3lj1N95lhULL8q5kJx8h6MOp4oA+iw2TzS5ryr/AIVb4pOf+Lm6wD7CX/49xTv+FWeKv+inaz+Uv/x6gD1InjvXD/CFv+LXaN0x+/8A/R0lYh+FvikDn4m6yfwl/wDj1c34E8Ba9rfg3T9QsvG+paXby+ZstYFfZHiRgcYkUckZ4HUmgD3jIoJryz/hVnin/op2s/lL/wDHqP8AhVninv8AE3WD9Vl/+PUAbXxJ/wCZRPT/AIqWy7f79dwDj6V4R4t8B69pX9h/avHGp332vV4LWLzQ48iR92JRmQ8jBHGOvWukHws8Unn/AIWbrI/4DL/8eoA9UzQTxxXln/CrPFX/AEU7Wfyl/wDj1I3ws8VY4+J2s5/3Zf8A49QA34WEf8J38RAf+gkD/wCRZ+1ercCvnXwb4L1jV/Efiq0svF1/p8theeVPcRb99226Rdz4kXn5CeSfvGu3/wCFWeKv+im6z+Uv/wAeoA9TzXDfF45+F2s45/1B/wDI0dYv/CrPFX/RTtZ/KX/49XM+PPAWvaL4N1DUb7xzqWp28Xlh7W4EmyTdIq85kYcE56HpQB634L+XwL4eU9tMth/5CWt7ivGPD/w48R3/AIc0u7t/iFq1rFPaRSpbp5mIVZQQoxKOADj8K1P+FWeKv+inaz+Uv/x6gD1InivKtbYH9ozwxg5/4lj5/wC+bn/69Ob4W+Ksf8lN1k+22X/49XPaZoWo+Hvjp4ds9Q1251mZ7SWUXFxuyqmOYBfmZj1Unr3oA92ooooAKKKKACiiigArhviUf+RQ/wCxls//AGeu5rlfG/hObxdpdpaQam+my212l1HcRoWZWVWAxhlIPzZzntQB1Cn3p2a8r/4VZ4p/6KdrP/fMv/x6j/hVnir/AKKdrP5S/wDx6gD1MsAM1w3hc/8AF0vHeSMEafjj/pi1Yp+FninHPxN1k/8AAZf/AI9VWH4P6/Bdz3UXxC1OOe42+dKkTh5dowu5hNlsDpnpQB67ketGRXln/CrPFX/RTtZ/KX/49R/wqzxT/wBFO1n8pf8A49QBs/F91/4VdrIz/wA8OT0/18dbngpv+KF8PD/qGW3H/bJa4G8+Duu6java3vxC1G5t3xuhnikkU4OejTGpIPhP4ktoY4YPiRq0UaKERI0kCqo6AATYFAHrGaCfevLP+FWeKf8Aop2s/lL/APHqQ/CzxVjj4naz+Uv/AMeoAbrjf8ZE+GGwQDprgcdTtuTivVQea8gb4M6zLqMeoyePb5r6Ndkdy0DmVF54D+duA5PGau/8Ks8U/wDRTdZH/AZf/j1AHqeaCa8s/wCFWeKv+inaz+Uv/wAeo/4VZ4p/6KbrJ/CX/wCPUAN+AZ/4oa8yQf8AiZOcjp/qouleqg14/Y/BnW9KiaHT/H1/ZxMxdktoXjBY4GSFmGTgD8qu/wDCrPFX/RTtZ/KX/wCPUAepk15V8eyD4HsB1/4mScf9spfyp3/CrfFX/RTtZ/75l/8Aj1Ur/wCDGs6tbiDUfH+oXkIYP5dxC8i7h0bDTEZ5P50AevB1JxuGadmvKf8AhVfijP8AyUzWPwEoH5CbFP8A+FWeKv8Aop2s/lL/APHqAPUywAzXDeFz/wAXS8d5IwRp+OP+mLVin4WeKcc/E3WT/wABl/8Aj1VYfg/r8F3PdRfELU457jb50qROHl2jC7mE2WwOmelAHruR60ZFeWf8Ks8Vf9FO1n8pf/j1H/CrPFP/AEU7Wfyl/wDj1AGz8X3X/hV2sjP/ADw5PT/Xx1ueCm/4oXw8P+oZbcf9slrgbz4O67qNq9re/ELUbm3fG6GeKSRTg56NMakg+E/iS2hjhg+JGrRRooREjSQKqjoABNgUAesZpGPH868t/wCFWeKf+inaz+Uv/wAeo/4VZ4qH/NTdYP1Ev/x6gBuuH/jIvwwD/wBAx+3+zcV6tXmWgfC+/wBJ8YWHiDUPFVzqs1orRqtxAxYqyMuN5kYj7xNemKcjPrQAtFFFABRRRQAUUUUAIxAUk9K8q+Fh/wCK6+InodT6/wDbWevVW6V8/wDh7wrqviXxx40Gm+Jb3Rfs2pPv+z7sy7pJcZKuvTB6+tAH0BmjIryz/hVnin/op2s/lL/8eo/4VZ4q/wCinaz+Uv8A8eoA2vi8d3wt1kDknyP/AEfHXbI2Sc8/hXhPjvwDr+i+DtQ1C+8c6nqdtF5e+1nEhSTMigZzIw4JB5B6V0S/CzxUOP8AhZesKevAl/8Aj3+fagD1fNIxOOOteW/8Ks8Vf9FO1n8pf/j1IfhZ4pxz8TdZPtiX/wCPUAbYP/F8uf8AoW//AG5ruQRXg48B6+fiOdI/4TnUvtn9k/av7Q2v5mzztvlf6zOMjd17V0v/AAqzxT/0U7Wfyl/+PUAep5rD8aH/AIoXxByP+Qbc9f8Ark1cR/wqzxV/0U7Wfyl/+PVl+IPhv4ksvDmqXdz8Q9Vu4IbSWSS3cSBZVCElTmYjB6dDQB1vwfP/ABa7R8/9N/8A0fJXdcV4P4E8B6/rng+w1Ky8b6lpkE3m7baHzCseJGXjEijkgngd66X/AIVZ4p/6KdrP5S//AB6gD1InjvXlfxRO7x38O/8AsJf+1YKU/C3xSASfibrJ9sS//Hq5PX/DGqeGfHXgpdS8TXmtfaNTTYLgOBFtlizgM7ddw6elAH0AOlLSd6WgAooooAKKKKACiiigArhvjB/yS3WP+2H/AKPjrua4X4wY/wCFWaznAH7jk9v30fNAHbhhnH407NeVL8LPFO44+JmsD1AEvH/kanf8Ks8Vf9FO1n8pf/j1AHqRJxxXlegsP+GjPE3/AGDUHB/2balb4WeKcc/E3WD9RL/8eritN8GazcfFbV9Ci8X38F9bWayyakm8yTLiLCt+8zj5x/EfujigD6JzRmvLP+FWeKv+inaz+Uv/AMeo/wCFWeKv+inaz+Uv/wAeoA7bxof+KF8Qc4H9m3PX/rk1YXwfI/4Vdo/P/Pf/ANHyVyfiD4b+JLLw5ql3cfEPVruCG0lkkt3EgWVQhJU5lIwenQ1m+BPAev654PsNSsvG+paZBN5u22h8wrHiRl4xIo5IJ4HegD3jNBPH+FeWf8Ks8U/9FO1n8pf/AI9SH4WeKQMn4m6ycdsS/wDx6gBvxSbPjv4d4/6CR/8ARsH516qG5wfrXzt4y8Ha1pHiPwtZXni+/wBQn1C8MUM7hwbU74xuUGRsH5lPGOnX17YfC3xV3+JusZ+kv/x6gD1TNBPHFeWf8Ks8Vf8ARTtZ/KX/AOPUjfCzxVjj4nazn/dl/wDj1ADfhYR/wnfxEB/6CQP/AJFn7V6twK+dfBvgvWNX8R+KrSy8XX+ny2F55U9xFv33bbpF3PiRefkJ5J+8a7f/AIVZ4q/6KbrP5S//AB6gD1PNcN8Xzu+F2sAck+R0/wC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} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "From which rectangular can you cut the figure shown on the right side out?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
430 | Numbers in the picture are ticket prices between neighbouring towns. Peter wants to go from $A$ to $B$ as cheaply as possible. What is the lowest price he has to pay?
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} | "$\\boxed{90}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Numbers in the picture are ticket prices between neighbouring towns. Peter wants to go from $A$ to $B$ as cheaply as possible. What is the lowest price he has to pay?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "graph theory" | MathVision |
431 | Six numbers are written on the following cards, as shown.
<image1>
What is the smallest number you can form with the given cards? | {
"bytes": 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} | "$\\boxed{2309415687}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Six numbers are written on the following cards, as shown.\n<image1>\nWhat is the smallest number you can form with the given cards?"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
432 | Between two points four routes are drawn. Which route is the shortest?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Between two points four routes are drawn. Which route is the shortest?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
433 | In the picture you can see a number flower. Mary pulled out all the leaves with numbers which give remainder 2 when divided by 6. What is the sum of the numbers on the leaves that Mary pulled out?
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"path": null
} | "$\\boxed{46}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In the picture you can see a number flower. Mary pulled out all the leaves with numbers which give remainder 2 when divided by 6. What is the sum of the numbers on the leaves that Mary pulled out?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
434 | You can move or rotate each shape as you like, but you are not allowed to flip them over. What shape is not used in the puzzle?
<image1>
<image2> | {
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} | "$\\boxed{C}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "You can move or rotate each shape as you like, but you are not allowed to flip them over. What shape is not used in the puzzle?\n<image1>\n<image2>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
435 | John is building houses of cards. On the picture there are houses of one, two, and three layers that John built. How many cards does he need to build a 4-layer house?
<image1> | {
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dMn33b+f+mYr1jAC57CuB+EehPpPgqG8uMm71V/tkrN1KsPkBP05+rGvQCODQB5Ldj/hDPjdbXXKad4jj8t+MATZA7f7Ww5P/AD0NesAnPWuB+LmhPrHgia5tywvNNYXcTKcMAPvYP05/4CK6LwhrqeJfCunaqgAaeIeaoP3ZBww/MGgDfoooNAFS9u4bCwuL24cJBBG0shx0VRk/oK81+EllLqb614yvkIn1W4ZYiTnbEp5wfTOF+iCrPxj1SWLw7aaBY5N/rNwtuiKeSgIz+bFB+Jrt9C0qHQ9DstLt+Y7WFYg2MbiBgscdycn8aAL00Mc0UkMqBkkBVlPRgQQR+VeXfCyWTw94g8Q+B7qT5rOb7RaburRtjP6GM/8AAjXq5FeTfEcN4V8a+HfGsXywiT7HekdChzyfU7S34qtAHrI6UtRI4dQysCrDII6H6VLQAUUUUAFFFFABRRRQAUUUUAFBoprZwf6UAc7408Qf8Iz4S1HVAV82KLEIboZGO1B+ZB/A1i/CbQjovga1lmBN3qBN5MzfeIb7uSefugH6k1hfEgt4p8ZeHfBMJJiaT7ZfkHgJzgcf7If81r1WNVUAKoVQAAAMAD0oAzPE2ix+IfDeoaTIBi5hZUP91sZU/gwB/CuS+EGtS33hNtKu2AvdInNpIh6hATsz+RUf7lehsPlPJHFeTyA+Dfjekg+TTvEkW3OflE2QOB3O/H/f2gD1oUtNU5HFOoAQ9K8y+MGqTHRbDw1ZPm+1q6SFVH9wMM/gWKD6Zr0xiRz2rybQv+Ky+M+oayTv0/QUFtbnqrSHcMj15Mhz7JQB6RoulwaPo1npluMw20Kwgnq2ByT9ev41xXxh0WS+8JLqtnkXujyi5iZeoXIDflgP/wAAr0ZVABqG5t4rq2lt541khmQo6HoykYIP4E0AZ/hrWYvEHh3T9WiwFuoQ5Ufwt0ZfwYEfhWxXlHwnnl0PVNf8E3bkyafcGe23dWib09B9xv8AgZr1egApDS1TvbyGwsbi9uXCQQRNLIx7KoJJoA8w8aD/AIS/4o6H4TQ7rKxxe3wx6YYA/htH/bU16ztHT3zXl3wis59SbWfGN6uJ9WuSsWTnbGpOcH0z8v8AwAV6l2oA8k+Iw/4RPxx4e8axArb7/sd+R3TB5I7naX/74WvWUbcqtkEEdq53xroK+JvCWoaWADLJFuhPHEi/Mn5kAfTNY/wn8QHXPBFskrsbuwY2kwbrhcbD68oV6980Ad7RSCloAKKKKACiiigANV7ieO3t5Z5pFjhjQu7t0VQMkn8KnPSvOfi/rcmn+EP7NtQWvtXkFpEin5tv8WPXOQv/AAOgDO+FcMmv67r/AI2uVYNfTfZ7ZW/hjXB47dNgPup969WUADpWN4Y0WPw74a0/SEwfs0IViOhc8sR9WJNbYoAQgYP0rzr4w6LJf+EP7UtNy3+kyi6ideqrkb/yGH/4BXo1QXFvFcwSW8yB4pVKOp6MCMEH8KAMvwxrcXiPw5p+rRYAuYQ7KP4XHDL+DAj8K268o+FU8mha1r3gi7kJawnM9ru6tGTz+hRv+BGvVhnHI5oAWiiigAooooAKKKKACiiigBDmvJ/idI/iXxR4f8EWzHbPKLq8K/wxjIGf+AiQ49dtepzSpDC8kjBURSzMxwAB1Jryv4Zxv4k8X+IvGs4Jimna0sgR0jGOceu1Yx9S1AHqcMSQxRxxIEjQBVUDoAMCp6QAYpaAIpYkkjaN0DoykMpGcj0ryr4YyP4Z8W+IfBE0o2QS/arMN1MZAz/46UP1z716yQCDXk3xNVvDHinw944gQ+XbzfZb0L1aMhj0/wB0yDnvt9BQB60KQn3qBJBJEsiMrIwBDLyCPX6f0rF8Z69/wjXhHUdU3L5sMWIdw6yMdqZ/4ER+VAHDaWv/AAmXxsvdRJ36d4ei+zxehlORn67jIc/7K160MYrgvhNoLaJ4GtZJ1YXeoH7XMX+98wG0E9fugHnuTXfUAIelc5400EeJfCWo6UAplliLQEjpKp3J+ox9M10lNYenFAHC/CfXzrXgm2imJ+16cfscwb73ygbCfqpH45rvBXkelD/hD/jXfaaTssPEEfnwZ4AmyzY5/wBoScDsU9q9aBzQA6iiigAooooAKKKKACiiigAqvPKkEUk0rhI0Us7E4Cgc5P61Oa88+L2tSaZ4ONja5a81WQWkSL1KnJfjvkfL9WFAGT8LY5PEPiHX/G1wpxdzm3tAwOUjGPw4GxeO6tXrAHr1rE8LaGnh3wzpukoQTbRBXYfxP1Y/99Emt0UAIwyK88+L2iPqXgt9RtQRfaTILyJ16gD7/wBMD5v+ACvRKgngjnheKVA8bqVZT0YEYIoAyvCutJ4k8NadqyYBuIgZAP4XHDD8GBFbZ6V5R8LZpPD3iHxB4IupObOc3FoW6tGQM/hgxt9WNeqEnb8vXnGfX0oA53xx4gPhrwfqOpqQJ0i2QZ/56sdq/kTn6A1lfCjw/wD2D4EsxIuLm8H2ubIOQWA2jn0UL+Oa534gt/wlnj3w94OjYm2jkN5e4P8ADg8HHIOwNj/rotesoMALjGOMUASUh9fSlpCMigDyT4h7vCfxB8O+M4wVtpG+xXxHTbg8n1O0sf8Atmtesq2cHPBFc3460D/hI/B2paci7p2iLwevmr8y/mePxrN+Fmv/ANveCLTzGJurIm0mznOUwFJzycrtOfrQB3BrzT4xatPH4fs/D1iC19rVytuidMoCM/mxQfQmvSuo6/jXkukn/hNPjVfakWL6doEfkQehk5GfruLn/gK+1AHpGg6VDouhWOmQfctYljDYxuIHLY9zk/jWpikAHpzS0AMdeOB0ryfRwfB3xpvtMA2afr8fnwccCUbmIyfcSAAdintXrR6V5n8YtKlfQLPxDZJ/pui3K3CvjPyZGeP94IfoDQB6WD706svQ9Ui1vRbPU7b/AFVzGsgyc4yOR9Qcg+4NalABRRRQAUUUUANboevSvJQP+Ey+OGSofT/DcZxnlTPyPw+c/wDkIV6F4o1uPw74c1DVpCP9GhLIp/ic8KPxbArlfg/okmneDRqN0C15q0hu5Gb7xU/dyfcZb/gRoA9CCrgYHTinUCigApCM0tIaAPJfiJnwr468P+NIwVt3b7HfFR1XB5x3O3dj3Ra9YRgVBDZyM1znjfQP+El8IahpqqDO0fmW59JF+ZfzIx+JrK+FWvnXPBFokrk3dgfscwb73y42k/VNvPrmgDu6KQUtABRRRQAUUUUAFIelLTWyeAcHFAHAfFrXH0jwTNbQkm61FhaxIv3iG+8QP93I+rCuh8IaD/wjfhXTdKOPMghAmK9DIeWP/fROPauDvMeMvjdbWYy+neHojLKOxmyp6/72wEd9jV60oAWgBwooooAQ9DWB4v0JfEnhXUNKOA88J8pv7si/Mpz6bgtdBTSBnPegDz74Sa6+seCoLSfcLzTGNpKh4IA+7n/gJx9VNY/xIkbxV4z8O+CoCTE0n2u+wcfIMgf+Ohz+K0yKWPwL8aLuOaRYtL1+Azb2OFSQAnJ/4EGH/bQVL8LYpPEHiLxB42u1I+2Tm3tQ3VYxj8Onlr9VagD1OJVRAqDCAAAAdsVNTQPUflTqACkIzS0UAeZfGLTJ5PD9pr1kNt5o1wLhHxnCkgE49iEP0BruNC1WHW9EsdTt/wDV3cKyAZztJHI+oOQfcVav7KDUbK4s7iPfBcRtFIvTcpBBFea/CK8m0yTWvBt42bjSrl2iJ43xk4JHtkZ/4GKAPVaKQUtABRRRQAUUUUAFFFBoAa2c8HtXk0uPGnxuiQZfTfDce48cGfI/I7sf9+jXoXiTWo/D/h2/1aUbhbQl1X+8/RR+LED8a5H4P6PJZ+EW1a6Ja91eY3UjnglOi5+vLf8AA6APRQo69+vWnUgGBxS0AFIR+dLSGgDyb4jofC/jXw742hUiJZPsd7joUIPJ9TtL/iq16fJdQxWr3TzKsCRmUyH7oUAnP0x/KsbxpoI8SeEtR0sIplliLQk9pF+Zee3IA+hryO58cS3vwYtNGhZjrE8y6U0efn2jBzj1K7UPuTQB0/wqgfXdY13xtdKwbULgw2u4ciJSDwe/8C/8ANesAYrH8NaNFoHh3T9JiA22sIQkcZfqx/Ekn8a2aACiiigBhx3/AF/z7V5Nobf8Id8ZdS0hsrYa5F9ptgenmctjHQc+aOPRa9bI4NeY/GLTJ10bT/EtjgXui3Cyhv8AYZlBz9GCH6bqAOr8aeIR4Z8I6jqoYCWKLbDkdZGO1OO/zEH6A1jfCfQW0PwNavOD9r1A/a5i3X5gAo55+6Aee5Ncr4v1WL4g674R8O2Jza3apqF0Ac7EKk7SR0IUSfiVr2FEVUUKMKMADGMAcYoAmooooAKp6hZQX+n3NncKWguImikAJyVIIOPzq5SMM0AeW/CG8l07+2PB16/+k6TdMY/9qNmOSB6bvm/7aCvU68o8U283hv4u+HfEFrGTDqrrp90q8ZZiFBJ+jIQP+mZr1egAooooAKKKKAMnXfD2meJdO+wavbG4td4k8sSumWGccqQe9aEMEVvDHDEgSONQqKOgAGAPyqaigAooooAKKKKAGlQeo9qx9K8M6Rol3fXOm2fkTX0nmXBErsGbJOQCSF5Y9AP0FbVFABRRRQAUUUUAFFFFABRRRQBjaR4Z0jQri9n020MMt7IJblzK7mRgScncT3J6etbNFFABRRRQAUYoooAwvEPhDQvFS2661Yi6FuWMX7x0KlsZ5Uj0H5Vb0nRtP0LTIdO022FvaQ5EcYZmxkknkkk8knmtKigAooooAKKKKAEIB61jp4Z0iPxHJr6Wm3VJE8t5xI/zLjGCudvQDt2HpWzRQAUUUUAFFFFABRRRQAUUUUAZWt6BpviPTTp+q27T2pYOYxK6ZI5HKkGr1vbQ2tvHbwxhIokCIg6KoGAPyqeigAooooAKKKKAE2g9q5WP4d+E49c/tpNJUah55uRL50hAkJ3btu7b19sV1dFADQo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} | "$\\boxed{26}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "John is building houses of cards. On the picture there are houses of one, two, and three layers that John built. How many cards does he need to build a 4-layer house?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "counting" | MathVision |
436 | The structure shown in the picture is glued together from 10 cubes. Roman painted the entire structure, including the bottom. How many faces of the cubes are painted?
<image1> | {
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"path": null
} | "$\\boxed{36}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The structure shown in the picture is glued together from 10 cubes. Roman painted the entire structure, including the bottom. How many faces of the cubes are painted?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "solid geometry" | MathVision |
437 | In each of the nine cells of the square we will write down one of the digits 1 , 2 or 3. We will do this in such a way that in each horizontal row and vertical column each of the digits 1, 2 and 3 will be written. In the upper left cell we will start with 1. How many different squares can we then make?
<image1> | {
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} | "$\\boxed{4}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In each of the nine cells of the square we will write down one of the digits 1 , 2 or 3. We will do this in such a way that in each horizontal row and vertical column each of the digits 1, 2 and 3 will be written. In the upper left cell we will start with 1. How many different squares can we then make?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorics" | MathVision |
438 | A child's toy hangs from the ceiling and it is in balance at all places. The same shapes have the same weight. The weight of a circle is 30 grams. What is the weight of a square?
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"path": null
} | "$\\boxed{20}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A child's toy hangs from the ceiling and it is in balance at all places. The same shapes have the same weight. The weight of a circle is 30 grams. What is the weight of a square?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
439 | Zita walks from left to right and puts the numbers into her basket. Which of the following numbers can be in her basket?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{C}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Zita walks from left to right and puts the numbers into her basket. Which of the following numbers can be in her basket?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "graph theory" | MathVision |
440 | In which figure can you find the largest number of small squares?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{C}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In which figure can you find the largest number of small squares?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "counting" | MathVision |
441 | What is the piece that fits completely to the given one to form a rectangle?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{B}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "What is the piece that fits completely to the given one to form a rectangle?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
442 | Which number has to be put into the dark cloud to have all the given calculations right?
<image1> | {
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"path": null
} | "$\\boxed{5}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Which number has to be put into the dark cloud to have all the given calculations right?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "arithmetic" | MathVision |
443 | Daniela has got cubes with their edges $1 \mathrm{dm}$ long. She has put some of them into the aquarium of the shape of a cube with the edges $3 \mathrm{dm}$ long as you see in the picture. How much more cubes can she put into the aquarium?
<image1> | {
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} | "$\\boxed{17}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Daniela has got cubes with their edges $1 \\mathrm{dm}$ long. She has put some of them into the aquarium of the shape of a cube with the edges $3 \\mathrm{dm}$ long as you see in the picture. How much more cubes can she put into the aquarium?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "solid geometry" | MathVision |
444 | A cube with the edge $3 \mathrm{~cm}$ long is painted grey and cut into smaller cubes each with an edge of $1 \mathrm{~cm}$ long. How many smaller cubes will have exactly 2 faces painted?
<image1> | {
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"path": null
} | "$\\boxed{12}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A cube with the edge $3 \\mathrm{~cm}$ long is painted grey and cut into smaller cubes each with an edge of $1 \\mathrm{~cm}$ long. How many smaller cubes will have exactly 2 faces painted?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "solid geometry" | MathVision |
445 | We count the number of white cells. How many white cells has the next square?
<image1>
8 white cells
<image2>
21 white cells
<image3>
40 white cells | {
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"path": null
} | "$\\boxed{65}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "We count the number of white cells. How many white cells has the next square?\n<image1>\n8 white cells\n<image2>\n21 white cells\n<image3>\n40 white cells"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
446 | A square piece of paper is folded twice so that the result is a square again. In this square one of the corners is cut off. Then the paper is folded out. Which sample below cannot be obtained in this way?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A square piece of paper is folded twice so that the result is a square again. In this square one of the corners is cut off. Then the paper is folded out. Which sample below cannot be obtained in this way?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "transformation geometry" | MathVision |
447 | We make a sequence of figures by dividing a square. The first four figures have 1, 4, 7 and 10 parts, respectively.
<image1>
How many parts will the fifth figure have? | {
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"path": null
} | "$\\boxed{13}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "We make a sequence of figures by dividing a square. The first four figures have 1, 4, 7 and 10 parts, respectively.\n<image1>\nHow many parts will the fifth figure have?"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
448 | How many stars are inside the figure?
<image1> | {
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"path": null
} | "$\\boxed{95}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "How many stars are inside the figure?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "counting" | MathVision |
449 | Rebecca has drawn a point on a sheet of paper. She now draws four straight lines that pass through this point. Into how many sections do these lines divide the paper?
<image1> | {
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} | "$\\boxed{8}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Rebecca has drawn a point on a sheet of paper. She now draws four straight lines that pass through this point. Into how many sections do these lines divide the paper?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
450 | The storm made a hole on the front side of the roof. There were 10 roof tiles in each of 7 rows. How many tiles are left on the front side of the roof?
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"path": null
} | "$\\boxed{57}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The storm made a hole on the front side of the roof. There were 10 roof tiles in each of 7 rows. How many tiles are left on the front side of the roof?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "arithmetic" | MathVision |
451 | Carol is playing with two equilateral triangular cards shown. She puts one card beside or on the top of a part of the other and both on a sheet of paper. Then she draws on the paper around them, following the contour. She cannot get only one of the shapes. Which one is it?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Carol is playing with two equilateral triangular cards shown. She puts one card beside or on the top of a part of the other and both on a sheet of paper. Then she draws on the paper around them, following the contour. She cannot get only one of the shapes. Which one is it?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
452 | Anna made the figure on the right out of five cubes. Which of the following figures (when seen from any direction) cannot she get from the figure on the right side if she is allowed to move exactly one cube?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{D}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Anna made the figure on the right out of five cubes. Which of the following figures (when seen from any direction) cannot she get from the figure on the right side if she is allowed to move exactly one cube?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
453 | Which of the figures is shown most often in the sequence?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{D}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Which of the figures is shown most often in the sequence?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "counting" | MathVision |
454 | We have a large number of blocks of $1 \mathrm{~cm} \times$ $2 \mathrm{~cm} \times 4 \mathrm{~cm}$. We will try to put as many of these blocks as possible into a box of $4 \mathrm{~cm} \times$ $4 \mathrm{~cm} \times 4 \mathrm{~cm}$ so that we were able to close the box with a lid. How many blocks fit in?
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"path": null
} | "$\\boxed{8}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "We have a large number of blocks of $1 \\mathrm{~cm} \\times$ $2 \\mathrm{~cm} \\times 4 \\mathrm{~cm}$. We will try to put as many of these blocks as possible into a box of $4 \\mathrm{~cm} \\times$ $4 \\mathrm{~cm} \\times 4 \\mathrm{~cm}$ so that we were able to close the box with a lid. How many blocks fit in?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
455 | Jane shoots two arrows at the target. In the drawing we see that her score is 5. If both arrows hit the target, how many different scores can she obtain?
<image1> | {
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} | "$\\boxed{6}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Jane shoots two arrows at the target. In the drawing we see that her score is 5. If both arrows hit the target, how many different scores can she obtain?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorics" | MathVision |
456 | A garden of a square shape is divided into a pool (P), a flowerbed (F), a lawn (L) and a sandpit (S) (see the picture). The lawn and the flowerbed are of a square shape. The perimeter of the lawn is $20 \mathrm{~m}$, the perimeter of the flowerbed is $12 \mathrm{~m}$. What is the perimeter of the pool?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{D}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A garden of a square shape is divided into a pool (P), a flowerbed (F), a lawn (L) and a sandpit (S) (see the picture). The lawn and the flowerbed are of a square shape. The perimeter of the lawn is $20 \\mathrm{~m}$, the perimeter of the flowerbed is $12 \\mathrm{~m}$. What is the perimeter of the pool?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "metric geometry - length" | MathVision |
457 | One of the cube faces is cut along its diagonals (see the fig.). Which two of the following nets are impossible?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{D}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "One of the cube faces is cut along its diagonals (see the fig.). Which two of the following nets are impossible?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "descriptive geometry" | MathVision |
458 | Where is the Kangaroo?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{B}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Where is the Kangaroo?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
459 | In the picture you see the number 930 . How many small squares must be changed so that the number becomes 806?
<image1>
<image2> | {
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"path": null
} | "$\\boxed{6}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In the picture you see the number 930 . How many small squares must be changed so that the number becomes 806?\n<image1>\n<image2>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "counting" | MathVision |
460 | In his garden Tony made a pathway using 10 paving stones. Each paver was $4 \mathrm{dm}$ wide and 6 dm long. He then drew a black line connecting the middle points of each paving stone. How long is the black line?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{C}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In his garden Tony made a pathway using 10 paving stones. Each paver was $4 \\mathrm{dm}$ wide and 6 dm long. He then drew a black line connecting the middle points of each paving stone. How long is the black line?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
461 | Peter shared a bar of chocolate. First he broke off a row with five pieces for his brother. Then he broke off a column with 7 pieces for his sister. How many pieces were there in the entire bar of chocolate?
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"path": null
} | "$\\boxed{40}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Peter shared a bar of chocolate. First he broke off a row with five pieces for his brother. Then he broke off a column with 7 pieces for his sister. How many pieces were there in the entire bar of chocolate?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "metric geometry - area" | MathVision |
462 | Picture $X$ is paired with picture $Y$. Which of the following pictures is paired with picture $G$ ?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Picture $X$ is paired with picture $Y$. Which of the following pictures is paired with picture $G$ ?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
463 | Thomas has made a table out of small cubes. How many small cubes did he use?
<image1> | {
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} | "$\\boxed{32}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Thomas has made a table out of small cubes. How many small cubes did he use?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "counting" | MathVision |
464 | Which of the following diagrams is impossible to make with the two dominos?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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",
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} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Which of the following diagrams is impossible to make with the two dominos?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
465 | Anna and Peter live in the same street. On one side of Anna's house there are 27 houses, and on the other side 13 houses. Peter lives in the house right in the middle of the street. How many houses are there between Anna's and Peter's houses?
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"path": null
} | "$\\boxed{6}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Anna and Peter live in the same street. On one side of Anna's house there are 27 houses, and on the other side 13 houses. Peter lives in the house right in the middle of the street. How many houses are there between Anna's and Peter's houses?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "arithmetic" | MathVision |
466 | Sylvia draws shapes made up of straight lines which are each $1 \mathrm{~cm}$ long. At the end of each line she continues in a right angle either to the left or right. At every turn she notes down either a $\vee$ or a $\wedge$ on a piece of paper. The same symbol always indicates a turn in the same direction. Today her notes show $\vee \wedge \wedge \wedge \vee \vee$. Which of the following shapes could she have drawn today if $A$ indicates her starting point?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Sylvia draws shapes made up of straight lines which are each $1 \\mathrm{~cm}$ long. At the end of each line she continues in a right angle either to the left or right. At every turn she notes down either a $\\vee$ or a $\\wedge$ on a piece of paper. The same symbol always indicates a turn in the same direction. Today her notes show $\\vee \\wedge \\wedge \\wedge \\vee \\vee$. Which of the following shapes could she have drawn today if $A$ indicates her starting point?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
467 | In the picture on the right you see a map. In the middle a piece is missing. The cat should be able to reach the milk, and the mouse the cheese, but the cat and the mouse must not meet each other. What should the piece in the middle look like?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In the picture on the right you see a map. In the middle a piece is missing. The cat should be able to reach the milk, and the mouse the cheese, but the cat and the mouse must not meet each other. What should the piece in the middle look like?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "graph theory" | MathVision |
468 | Which square contains 3 quadrilaterals, 3 circles and 4 hearts?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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l3nkYpv7P9rB/whUs4jXznmZWbHJANed/GXwq2n+O45baI+Tf7Sdo4LZ5/TH5UAbkvxl8Y300uoaZpR/suNhkGIscY9a9V+Hvj228caU8yx+TcwkLLH7+tXvCvh630bwda6X5KHbDtk4+8a8k+DCrD8Q9Zhi+WEeZtUfUUAfQVFIOlLQAUUUUAVNS/wCQbcf9czXzv8Ev+Sm6l/vT/wAzX0RqX/INuP8Arma+d/gl/wAlN1L/AHp/5mgDqv2if+Rc07/rq39K7X4U/wDJOtI/64L/ACriv2if+Rc07/rq39K7X4U/8k60j/rgv8qAO0ooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvAv2jfu6X9P6mvfa8C/aN+7pf0/qaAPWPBv/Ik2H/XD+leFfCb/AJLXff71x/M17r4N/wCRJsP+uH9K8K+E3/Ja77/euP5mgD6aooooAKKKKACijNFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUhIFAC0VC9xFGQHkRSezMBTxIrLuUgj1BzQA+ikzS0AFFFFABVTVP+QTef8AXB//AEE1bqpqn/IJvP8Arg//AKCaAPnT4B/8lR1f/sGS/wDo6KvpbtXzT8A/+So6v/2DJf8A0dFX0t2oAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAEP9a+bPCX/ACcfq3/X5ef+htX0mf6182eEv+Tj9W/6/Lz/ANDagD6THQfSmSoJI2Q9GUinjoPpQRmgD5z0WY/D/wCNd1a3OY7K9k2IegIOOa99vtOsdZsjb3sEdxbvhtj/AHT6GvP/AIveBj4l0YalZKRqNku5NvBYcnH5mofhF49XXNM/sbUZMajafIA3V1Hfn8KAPRrme10bS5JiFjtreIsAOAABnA/KvCPhnbv4u+Kmo+JJULW9uzGJj9SKs/FPxfdeJ9bi8HaE7MCwE7p3ORn8ufyr1TwJ4Rt/B/hyGwiH70gNK3csQM/yoA6kc0tIBiloAKKKKACiiigAopMijNAC0UUUAFFFFAHnfxn1S80jwDLc2Fw0E3nxrvXsDmuI0f4e+NdW0m2v08UyIs8auFLDjIHt9a6v48j/AItvJz/y8x/1rsPBQ/4o7Sv+vZP/AEEUAeY/8Kr8b/8AQ1v+Y/8AiaT/AIVX44x/yNb/AJj/AAr2+koA+e9Oj8TeE/inoukX+uS3UVywLDIwRnGOlfQi/dFeJeL/APkvHhoYHb/0KvbV6UALRRRQAUUZpMigBaKTPtRmgBaKM0UAFFFFABVa+/48Ln/rk38jVmq19/x4XP8A1yb+RoA+cvg//wAlW1L/AHf/AGYV137RP/IrWf8A13H9a5H4P/8AJVtS/wB3/wBmFdd+0T/yK1n/ANdx/WgDsvhP/wAk7036N/Ou2rifhP8A8k7036N/Ou2oAKKKKACiiigAooooAKKKKACiiigAooooAp6jqNrpdnJd3cqxQRAl3bsAM15TffGxp72WDw9osuoiNiC+04OPTmmfGi+uL7VNE8LQStHHqDjeRxkZIIr0fw94Z0zQdJgtbW0hG1RucoCWPrmgDi/Dnxj07U9SXTdXtpNNvGOAHBAJzjHWvT0ZXQMpBB5BFeefFHwZYav4amvY4UhvbUeaksahTwc/0q58Jdcm13wDZT3BLSxfuix74A/xoA7qiiigCrfXkWn2U11OcRwoXY+wFebv8d/CaSOn+kHaeoUYNdr4x/5E/Vv+vWTjH+ya80+Cnh/SdT8E+dd2UM0n2iVdzIM4DcUAav8Awvrwn6XX/fIpP+F9+EsdLn8h/jXbf8IboH/QLtv++B/hS/8ACHaB/wBAu3/74FAHFw/HTwpPOkQa4XccAkLjNel28yXEEc6HKSKGX6EZrxP42aHpml6Vp8lnZxQu1woJRcZ65/pXsejDGi2I/wCneP8A9BFAF+iiigAooooAKKKM0AFFFFABRRRQB4P+0b/x7aN/vv8A0r0zwR/yTnTP+vIf+g15n+0b/wAe2jf77/0r0zwR/wAk50z/AK8h/wCg0AeJfD3/AJLde/8AXY/zr6Zr5m+Hv/Jbr3/rsf519M0AFFFFABRRRQAUUUUAFFFFABRRRQAUUZpMj1oAWiiigAooooAKoatqlvo+mz390SIYV3Njrir9cl8Sx/xb/Vun+qA/8eFAHMH48+FAT8tzjPUAc0v/AAvrwn6XX/fIqL4TeG9Hv/AdlPdafBJKyjLMgJz/AJFdz/whugf9Au2/74H+FAHFf8L78J+lz/3yKnsvjh4VvryK2Q3CvKwRSwAGScY6113/AAhugZz/AGVbf98D/CvJfjBounaVq3hs2VpFBvuxv2qBu5XHQUAe7owZQwp1Q2oxbR/SpqACsrxBpy6roN9ZMu7zoXUfUjitWkIzQB4F8FNXOh+ItT8K3bbCJGEIbjkE/wCFe132i6dqc8El5ZxzSQH92zD7vFeO/F3wfcaRqkHjLQ1ZZonHnKnXjnP4813/AIF8c2XijwumoSSqk8KAXIJxtI7/AK0AXvHPiGLw14UvL5nCuEIjGeScdq88+AuiyfZNQ8QXCkNdSny2I6qev6iuZ1+/v/i946j0iwLDSLaT5nGcEev619AaNpNvomk2+n2qBYYV2gf1oA0B0paMUUAFFFFAFTUv+Qbcf9czXzv8Ev8Akpupf70/8zX0RqX/ACDbj/rma+d/gl/yU3Uv96f+ZoA6r9on/kXNO/66t/Su1+FP/JOtI/64L/KuK/aJ/wCRc07/AK6t/Su1+FP/ACTrSP8Argv8qAO0ooooAKKKKACjNRTTJBE0kjBUUZLE4AFeX618c/DWmaj9mhMtwFOJHROPwPegD1TNGa5jS/HWg6roU2r292otoR+8DYBU4zzXGP8AHrw0uqG3CzGAPsMuzvn+VAHreaKztI1ey1vT4r6wlEkEnRh/WtGgAooooAKKKKACiikyKAFopKM+1AC0UmfajNAC0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeBftG/d0v6f1Ne+14F+0b93S/p/U0AeseDf+RJsP8Arh/SvCvhN/yWu+/3rj+Zr3Xwb/yJNh/1w/pXhXwm/wCS133+9cfzNAH01RRRQAUhIFLVS/ufsdjPcEbvLQtj1wKAM/W/Fei+HkzqmoQ2xPRXcA1No/iPSdftzNpl9DcqBk+W2cV89eFPDcnxT8Y6tdaxdSG3t5WXZuJHU4HaqfijT9R+EHixZNKuZXs5kIj3MQDkEHjnpxQB9Bax478N6HdC1v8AVbaGYnGxnwRWvp2qWWrWy3NjcRzwsOGRsivn34ffDEeONJuNc124lZ7gkRZJPpg9RU/w5mvfB/xTu/C7TvNaF/LXc3Tpg45oA+iKKQUtABRRRQAUUUUAFFGaTPtQAtFJn2paACiiigAooooAKKKKACiiigArhfiR44/4Q7SVFrGJtRuMrBH3zzzXcmvEPiGFPxo8LLff8eeR14B+Y0AQWHw78Z+KoU1LWtfltTL86RRsAVB6A8VC974x+FOpwPqV02paJIwQlj9zJAzwPevd4wAoC/d7emMcVxfxW+yt4AvjdFTHwRn15xj8cUAdbpt/BqenQXtud0Uyh1x71drhPhCZv+FeWAnB3c4z6YFd3QAUUUUAFVNU/wCQTef9cH/9BNW6qap/yCbz/rg//oJoA+dPgH/yVHV/+wZL/wCjoq+lu1fNPwD/AOSo6v8A9gyX/wBHRV9LdqACiiigAooooAKKKKACiiigAooooAKKKKACiiigBD/Wvmzwl/ycfq3/AF+Xn/obV9Jn+tfNnhL/AJOP1b/r8vP/AENqAPpMdB9KWkHQfSloAaVB4I4718+/FPwFf6Bqo8S+GRLGZfllWH7yk46Yr6DIzTWRXBDAEHsRQB5P8IPAL6Ratr2rIW1K7Jcb/wCEHP8Aia9aApAuBj06U6gAooooAKKKKACoppo4IXllYLGoyzHoKlPSvJ/jZrl3aaPZaVZOyPqE3lOynHy4JH8jQA/WfjbpFldyWul2NzqTxHDmFTgfkKn8O/GbRtWv47G+gm064kOEWdSMn6mt3wX4F0jwzosEUdpG1wUBkmIyWJ5rP+I3gPS9d8PXVylvFDfQIZY5VGDkAmgDvY5FlRXQ5VhkEdCKkrzj4OeILrWfCIgvW33FpI0LN6gEgfyr0egAooooA8w+PH/JN5P+vmP+tdh4L/5E3Sf+vaP/ANBFcf8AHj/km8mf+fqL+tXfCfjzwvZ+FdNgn1i3SWO3RWU54IUe1AHoVFcv/wALE8J/9Bq3/wDHv8KT/hYnhM8f21b/APj3+FAHnfi//kvPhv8AD/0OvbF+6K8F1zWdO1r44eHJ9Nu0uIlIBZM8Hf7170v3RQAtFFB6UAVNQv7fTLKa8unCQRKXdj2Aryi9+P2j2+ovDBYzT2yNhp1JwPwxV/47XlxbeB1ihkKJcS7JMd1xmjwF8P8Aw7d/DqzFzp0Mkt3DullZctnJHFAHRx/Ebw9J4XOv/agLRcAgjDbj0GK4m3/aB0iS+WObTriG1ZsC4Y5B/DFeNXGhX8PjBvCSyyrBJdqPLHAAycH8Aa998UfD3w/bfD+eJNOhjmt4N4lVcMWC+vvQB6Dpmp22r2EV7ZyCSCUAqRV2vIP2f76e48ISwSSFo4pW257dK9foAKKKKACq19/x4XP/AFyb+RqzVa+/48Ln/rk38jQB85fB/wD5KtqX+7/7MK679on/AJFaz/67j+tcj8H/APkq2pf7v/swrrv2if8AkVrP/ruP60Adl8J/+Sd6b9G/nXbVxPwn/wCSd6b9G/nXbUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAeRfGfRr1G0zxPYRGSXTWyQvXGc11XhL4g6H4i0mGZbyOGYIBJHI2CCOvWuumhS4iaKVVdGGCrDINeaaz8EPDOqXTXMKzWjsckQsAM9+xoAq/E/wCIdhHpL6JpEoutRuz5YEfzBQeD0+tdT8M/D0nhvwVZ2cwxMw8xx6Egf4VV8L/Cnw74YnFzbwGa5HSSXBIrugMUALR2oooAwfGH/In6v/16yfyNcP8AAT/kQj/18y/zruPGB/4o/V/+vWT+Rrh/gJ/yIZ/6+Zf/AEKgD1aiiigDx34+/wDIF03/AK+V/ka9U0j/AJA1j/17p/6CK8q+Phzo2m/9fK/1r1XSP+QNY/8AXun/AKCKAL1FFFACE84rkPF/xE0XwiFjupfNun+7BHyx9K6HVr7+ztKursjPlRlsfyrxn4W+GofF+qah4p15RdyGbEKSDIA5wcfhQBpQfHe1Ey/bNBv7e3zzMyHGPX7tem6Fr+n+ItPS906dZYm64PIPvS3fh/Sr+za1ubC3eEjBXyx/hXjnhmGX4f8AxffQIZXOm3kW9U6hTgmgD3jNFIDx7UtABRRRQB4P+0b/AMe2jf77/wBK9M8Ef8k50z/ryH/oNeZ/tG/8e2jf77/0r0zwR/yTnTP+vIf+g0AeJfD3/kt17/12P86+ma+Zvh7/AMluvf8Arsf519M0AFFFFABRRRQAUUUUAFFFFABSEilpp9+lAHG+M/iNo/gxFS7LSXTj5IU6n0+lc/4Y+Nmja5qC2N3BJYyyHCbzkHn3rhBYxeLPj1LaauBNCilgjfd4AwK3PjT4GsLPQotb0izS2mtXG7yVxmgDrPGPxe0bwtd/Y0ja7vB1jj7VP4N+LGi+LbkWYVrW9JwIpO9eafBTwpD4jvb7X9Zj+2DdtQyjI3DqfyIpvxH0ez8K/E/RrrR4hamYh2WPgbsmgD6MBB/lS1XtWMlrE7H5mRSfrirFABXJfEv/AJJ9q3/XIf8AoQrra5L4l8/D/Vx/0yH/AKEKAMn4M/8AJPLH6f416EOlee/BrI+Hljn+7n+dehCgBa8U+OX/ACFfDH/X2P5rXtdeKfHIn+1fC/H/AC+D+a0Aey23/HtH9KmqG2/49o/pU1ABRRRQBWvLWG9tJbadQ0UilWBHYjFfM3jPwH4g8LeJJrXQBP8AYNSbaBECQoLdDX1CRmmsisQWUHByM9qAOL+HHgi38G6BHFtBvZgGnf1OBx+grt6THNLQAUUUUAFFFFAFTUv+Qbcf9czXzv8ABL/kpupf70/8zX0RqX/INuP+uZr53+CX/JTdS/3p/wCZoA6r9on/AJFzTv8Arq39K7X4U/8AJOtI/wCuC/yriv2if+Rc07/rq39K7X4U/wDJOtI/64L/ACoA7SiiigAooooA4X4tajcab8PdRlt2KOVxkdhkVxvwl8B6FqPgkXt9aCee6G4l+dv0rufifpL6z4E1G1jzv2ZAH1B/pXK/AjW47vwnJpzELNaNtKnrtAH9TQB4r4o0fUfDXim+8M2csi21xLwg/jB9a92i+F2gW3w9a2ltFM4tjKZSBuDbc1va58PdL1zxXp+vTswntGB2jo5znmr3jbVoND8HX9zIQB5JjQH+8VOKAPNP2f7y4VNX0t5C1vbMCinsSxH8hXt46V4t8ANNmGmahrMoIF4+B6cH/wCvXtIoAWiiigAooooAK4Px98R4PA8ltG9lJdS3AyqoxH6Y9jXeV4r8XQG8d+FgQCN4BB78tQAD46zHkeFNQ/74P/xNL/wva4/6FXUf++W/+Jr1y3s7Y20X7iPlF/hHpUv2K2/54R/98igDx3/he0//AEKuof8AfDf/ABNdN4E+JsHjTU7mw/s+S0uLeMSMHPPXGOldy9jbbD+4j6H+EV438PlVfjX4qVVCqCcAf79AHtwpaQUtABRRRQAUUUUAFFFISADQAtFUNR1jT9Ig86/u4rdPV2rKsfHXhnULjyLTWLeST0yR/OgDpKKYsgdQynIPQin0AFFFFABXgX7Rv3dL+n9TXvteBftG/d0v6f1NAHrHg3/kSbD/AK4f0rwr4Tf8lrvv964/ma918G/8iTYf9cP6V4V8Jv8Aktd9/vXH8zQB9NUUUUAFUtTge40y5hT7zxFQPwq7TScc+goA8C+B90LDxfr2lzDbPJKzAH2LV3/xP8Bv410q1igYLPBJlWPocZH6V5v8RtOvPAXxBtvFWmxsLWdgHAHTkZ/PmvcfD+uWviHRYNStHDJMoJAP3TjkUAR+GtHTw54ZstNUA/ZoVVmHcgDJrxLwzI2u/H69vbRd0MUu8t6rxzXofxV8dReFtAe2t3DajdgxxKP4frWT8EfCM2j6NNrN8hF3f/Mueqp6UAetDOOaWkHSloAKKKKACsrxBrEeg6LdanKhdIELlR3wM1q1yXxL/wCSf6v/ANcH/wDQTQBwEfx7acb4fDV7KmSAyZIP/jtP/wCF7XH/AEKuo/8AfLf/ABNb/wAGLWB/hvZM0KMfMk5K5J5r0L7Da/8APCP/AL5FAHj3/C9p/wDoVdR/75b/AOJqSz+O0cuoW9rc6Bd2wmYKGkBH9K9d+xW3/PCP/vkV478aYYotW8P+XGqZmGSox3NAHssMglhjkA4ZQw/GparWP/Hhbf8AXJf5VZoAKKKKACiiigAooooAO1cH8TPAx8X6Uj2j+XqNt80D5x05xXeUhHNAHhNh8UPFXhWBdM17w9cXcsI2CaFTg46c4qvOni34t6hBBdWb6dokbq8iOCCwBzXvUtvHMPnRW+opyoFACgADtigCrpenw6VptvZQKBFCgVQKu0gpaACiiigAqpqn/IJvP+uD/wDoJq3VTVP+QTef9cH/APQTQB86fAP/AJKjq/8A2DJf/R0VfS3avmn4B/8AJUdX/wCwZL/6Oir6W7UAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFACH+tfNnhL/k4/Vv+vy8/wDQ2r6TP9a+bPCX/Jx+rf8AX5ef+htQB9JjoPpS0g6D6UtABRRRQAUUUUAFFFFABRRRQAhryj42aFeXmjWerWMbPJp8vnOqjtg16xUUsCTxtHIoZGGCpHBoA5HwV480nxNo0Dx3Ma3KoBJEW5BGBVD4jePdK0Lw9dWsdxHNfXEZjjhVskkjFZ+s/BHRr68lutOvLnTZJTl/IY8/rU/h34NaLo19HfXk82o3EZ+Q3BJA/DNAEvwd8PXOi+ERNeqVubyRpmB9Ccj+deiimJGsahVGFAwB6CpKACiiigDK17QrDxHpjafqMKy27MG2n1HT+dccPgr4RHH2Pj8f8a9GooA85/4Up4R/59KP+FKeEf8Anzr0aigDidF+FnhnQdUi1CzswJ4jlGPY12woooAKD0oooA85+NGjS6t4DnkiBL2h80Ad+1M+DWvprHge2tty+dZDy3Gfr/jXoN3axXtpLbTDMcqlWHqK+dLeS9+EPxHMcob+x718ggcYJHNAHs03gLSZfGaeJ2Dfa1XBXsTxg/pWd8Wdfj0PwNdMzDzZwIkX1zwf511w1W0OljUvOX7MY/NDk44xmvnzU7q++L/xCjsrTcuj2bg89MKcE/jigD0L4G6K+meBo55c77l2cA+hxXqNU9NsIdM06Cyt1CxQoEUCrlABRRRQAVWvv+PC5/65N/I1Zqtff8eFz/1yb+RoA+cvg/8A8lW1L/d/9mFdd+0T/wAitZ/9dx/WuR+D/wDyVbUv93/2YV137RP/ACK1n/13H9aAOy+E/wDyTvTfo3867auJ+E//ACTvTfo3867agAooooAKKM0mRQAtFGeKKACiiigAooooAKKKKACiiigAooooAKKKKAMfxLazXvhrUbaBN8stu6qvqSDxXhXhO++IngrS30uy8LSTRLKzb2Q5OTntX0Zik2D0FAHif/CffFD/AKE8/wDfLf40f8J98T/+hQP/AHy3+Ne2bF9BRsX0FAHzj4pl+IPjhbS0v/DMlvHHIH3qh/z3r6E06NotMtYnGGSFFIx3AFWtgz90fWlAxQAtFFFAFDWLIajpF1aHjzYyteMfC/xNB4O1bUPCmuyLbSfaD5LucAjsP1r3UjNcl4t+HmjeLlD3kZiul+7PEcMKANq+8QaVp9i95c3sUcCjO8ng1454aml+IPxfk8QwRsNMsk2K+OG4wDWtB8BdP88G71q9uIAf9S3Qj0616Zomg6f4e09LLTrdIoV44HJ+poA1AOMUtIKWgAooooA8H/aN/wCPbRv99/6V6Z4I/wCSc6Z/15D/ANBrzP8AaN/49tG/33/pXpngj/knOmf9eQ/9BoA8S+Hv/Jbr3/rsf519M18zfD3/AJLde/8AXY/zr6ZoAKKKKACiiigAooooAKKKKACkNLSEZoA+ddbLeDfjrBfSn9xebVDHoNwGa931XTrTxBo0tncfNBcJ1+vQ1xHxf8EnxNoH220GL+zBdCByV6kfpVL4P+PG1vTv7F1JsalZjZhurKOB/L9aAO58LeGbHwjo66ZY5ESsWLN3J/8A1V4r4xnbxj8a9O0u2YNFZv5bsvOOSc/rXpHxP8dxeENCMMD7tQuBsiQcke5rnPgz4KuLOKTxNqyk3l6Mru6gZBz/ADoA9egTy4UQc7VC/kKmoFFABXNeOrC51TwZqVlaRmSeaPCqOpIIOP0rpaTHOaAPnjwxrPxH8K6NHpVr4UaSOI4DMhra/wCE++KH/QoH/vlv8a9s2j+6KNi+goA8T/4T74of9Ch/463+Nc9rqePvHOs6T/aPht7aO1nD7ghwPmHr9K+jdi+go2gdhQAy3XbAi9wKlpANvSloAKKKKACiiigAooooAKKTNBIoAWikzS0AVNS/5Btx/wBczXzv8Ev+Sm6l/vT/AMzX0RqX/INuP+uZr53+CX/JTdS/3p/5mgDqv2if+Rc07/rq39K7X4U/8k60j/rgv8q4r9on/kXNO/66t/Su1+FP/JOtI/64L/KgDtKKKKACiiigCGaJZoXiddyuu0j1r501SG9+EfxJGoQqx0i8k5A6bM9P0r6QIzXNeNPCdp4u0CewuUG8gmKTuhxQBrafqlrqOmRX9vIHt5E37weAO/8AI14L4/8AEF18RfFsPhT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"path": null
} | "$\\boxed{D}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Which square contains 3 quadrilaterals, 3 circles and 4 hearts?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "counting" | MathVision |
469 | Six coins build a triangle (see picture). What is the smallest number of coins that must be moved to create the circle?
<image1> | {
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} | "$\\boxed{2}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Six coins build a triangle (see picture). What is the smallest number of coins that must be moved to create the circle?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
470 | I have tiles that look like this...
<image1>
Which pattern can I not create with them?
<image2>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{B}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "I have tiles that look like this...\n<image1>\nWhich pattern can I not create with them?\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
471 | Maria folds a square piece of paper in such a way that the kangaroos exactly overlap each other. Along how many of the lines shown is this possible?
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"path": null
} | "$\\boxed{2}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Maria folds a square piece of paper in such a way that the kangaroos exactly overlap each other. Along how many of the lines shown is this possible?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "transformation geometry" | MathVision |
472 | A large cube is made from 64 small cubes. The 5 visible faces of the large cube are green, the bottom face is red. How many of the small cubes have 3 green faces?
<image1> | {
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"path": null
} | "$\\boxed{4}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A large cube is made from 64 small cubes. The 5 visible faces of the large cube are green, the bottom face is red. How many of the small cubes have 3 green faces?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "counting" | MathVision |
473 | Kamilla wrote down all of the numbers from 1-100 one after the other in a table with 5 columns. A part of the table is shown. Her brother cut out a piece of the table and erased some of the numbers. Which of the following could this piece have been?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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H/Iz+I/8Aron8zS/Ez/kG2H/Xyn/oQoA6MeFtEJP/ABLbbHTHlL/hR/wiuif9Ay2/79L/AIVsDv8AWloAxv8AhFdE/wCgZbf9+l/wo/4RXRP+gZbf9+l/wrZooAxv+EV0T/oGW3/fpf8ACj/hFdE/6Blt/wB+l/wrZooAw5PCuhiNj/Zlt0/55L/hXHfDfw/pV1oc7z2MMjC4cAsgPG4j0r0qb/Uv9K4j4XHHh+5/6+ZP/Q2oA6H/AIRXRP8AoGW3/fpf8KP+EV0T/oGW3/fpf8K2M9age7to22vcRK3oWANAGd/wiuif9Ay2/wC/S/4Uf8Iron/QMtv+/S/4VrBwwBBBB7jmnZoAx/8AhFdE/wCgZbf9+l/wo/4RXQ/+gbbf9+l/wrU8+MSiMyIHPRc8/lUgNAHlep6DpafFTT7dbKEQtHkx7Bj7p7V3n/CK6Hn/AJBlt/36X/CuV1T/AJK9pv8A1y/9lavQv4qAMf8A4RXRP+gZbf8Afpf8KP8AhFdE/wCgZbf9+l/wrZooAxv+EV0T/oGW3/fpf8KP+EV0T/oGW3/fpf8ACtmigDGPhXQ8f8gy2/79L/hXL/EPw9pFp4F1aaDT7eORIGKssYBBr0E9K5H4mf8AJPdZ/wCvdv5UAHh3w1osvh6xd9NtyxhUkmMEk4HNav8Awiuif9Ay2/79L/hS+F/+RcsP+uK/yFbFAGN/wiuif9Ay2/79L/hR/wAIron/AEDLb/v0v+FbNFAGN/wiuif9Ay2/79L/AIUf8Iron/QMtv8Av0v+FbNFAGN/wiuif9Ay2/79L/hXC+EdB0q48Z+IIpbGBkjPyqUGB81epmvPvBX/ACPHiP8A3v8A2agDqP8AhFdE/wCgZbf9+l/wo/4RXRP+gZbf9+l/wrZooAxv+EV0T/oGW3/fpf8ACj/hFdE/6Blt/wB+l/wrZooAxv8AhFdE/wCgZbf9+l/woPhTQ8f8gy2/79L/AIVs0UAeb+L9F07TtW8OyWtpFFIdQjBKIBxk8dK7+cE2r8/wnv7Vx/j3/kKeHP8AsIR/zNdnP/x6v/uH+VAHnnw80PS77R76a5soZZTqFwCzoCcBq7D/AIRXRP8AoGW3/fpf8KwPhf8A8gC9/wCwjcf+h13FAGN/wiuif9Ay2/79L/hR/wAIron/AEDLb/v0v+FbNFAGN/wiuif9Ay2/79L/AIUf8Iron/QMtv8Av0v+FbNFAGMfCuh4/wCQbbf9+l/wrhNa0DSo/ifpNsllCsLwZKBBgncecV6pXnuu/wDJW9F/69//AGY0AdSPC2h9P7MtR3/1S/4Uf8Iron/QMtv+/S/4Vr9Dn2qOSeKFQ0kioOmWYAD86AMz/hFdE/6Blt/36X/Cj/hFdE/6Blt/36X/AArTinimXMUqSD1Rgf5VKWxQBj/8Iron/QMtv+/S/wCFH/CKaH/0DLb/AL9L/hWi95bRyeW9xEr/AN0sAamDBuhBHqDQBwvjjw5o9t4RvpotOt1dUJBWMA9PpVzwx4b0ebwxpckmnW7M1sjMTGpJOBz0qx4//wCRL1D/AK5n+Rq94T/5FTSf+vVP5CgBf+EV0T/oGW3/AH6X/Cj/AIRXRP8AoGW3/fpf8K2aKAMb/hFdE/6Blt/36X/Cj/hFdE/6Blt/36X/AArZooAxv+EV0T/oGW3/AH6X/Cg+FdDAz/Zlt/36X/CtmkPQ0AeXeFdA0qbxz4lhksYGjiuMIpQYUbR0ruf+EV0T/oGW3/fpf8K5jwh/yP8A4p/6+j/6CtegUAY3/CK6J/0DLb/v0v8AhR/wiuif9Ay2/wC/S/4Vs0UAY3/CK6J/0DLb/v0v+FH/AAiuif8AQMtv+/S/4Vs0UAYx8K6H/wBA22/79L/hXBfETQdLt7nRhDZQp5l0ittQDI3genvXqx6V518Tf+PrQv8Ar7T/ANDWgDqv+EV0Td/yDbb/AL9r6fSnf8Iron/QMtv+/S/4Vsd6WgDG/wCEV0T/AKBlt/36X/Cj/hFdE/6Blt/36X/CtmigDG/4RXRP+gZbf9+l/wAKP+EV0T/oGW3/AH6X/CtmigDn7vwxoiWUzDTbbIQn/Vj0+lZPwmjVPhvpgQYUPcYH/beSuuvv+PG4/wCubfyrk/hR/wAk40z/AK6XH/o+SgDtKKKKACiiigAooooAKKKKACiiigDjPE3/ACP3hX/rld/+0a7OuM8Tf8j94V/65Xf/ALRrs6ACiiigAooooAK5rx3/AMidff7o/nXS1zXjv/kTr7/dH86AHeBePBGkf9ey/wAzXRE8VzngY48D6R/17L/M1g/EjxTcafaRaHpBD6vqB8uIKeUHQt+BoA85+MHju/1C5Nho8jrp9rKqz3EZ4ZzyB+le36DIV8LWEz/MRaIxPcnaDXj3j/wtH4X+EUNuQWupruGS5lI5Zznv7ZNex+GefC+l/wDXrF/6CKAPJrfTNe+JXibUW1G8u9P0m1YrFEh2lvfkGq+rw6p8KPEmmyWmqXF3pV3IIngmfODjPtXsGuXNzpej3FxplktxcgZSEDAY574rwfVNV1LWPHemyeO7WbTrCOQGBApKFvqaAPoqCQTQRyjgOobH15riPCv/ACUHxP8A78X/AKBXa2zRtbRNCQYio2kdMYrivCv/ACUHxP8A78X/AKBQB3tFFFABRRRQAUGig0Aef/E7roP/AF9n+Qrvl6L9K4H4nddB/wCvs/yFd8vRfpQA6iiigAooooAKq6l/yDbj/cNWqq6l/wAg24/3DQByHwp/5FA/9fU3/oxq7muG+FP/ACKB/wCvqb/0Y1dzQAUUUUAFFFFABXA3n/JXbf8A69U/m1d9XA3n/JXbf/r1T+bUAbnjj/kStX/69z/OpfB//Iq2H/XP+pqLxx/yJWr/APXuf51L4P8A+RVsP+uf9TQBu0UUUAFFFFABRRRQB594T/5KN4j/AOuUX/oTV6DXn3hP/ko3iP8A65Rf+hNXoNABRRRQAUUUUAFcB8Tv9XoP/YQX+Rrv64D4n/6rQf8AsIL/ACNAHc2//HtGP9gfyrxz4o3Gpat460jw/pl/LallLSGNsEAgf/Xr2KDi2jPoi14d4k0TxhqXxbkvtItmhVYhGlw/Cj5cE/oaANg/CHWWyP8AhK7o/wDAyf6V3EayeD/BUhmne6ktIcmRuSx7V5nrNp8R/BMQ1l9W/tC2Rsywkjp7YAr0TSvEmmeLvAj6ldbYrWWH/SAeQhxzQB5t4T8L6l8SobnXda1m6SJpCIYYXwFH4irfh+/1jwN8R4/DF3fvfafdA+SZD8wPA/rXPeENa8TaLdaha+EbGTVNIEpMZmyAPpWj4Kuf7W+Jj3ni55bbV0+W3tnGF7dDQB7nqP8AyDLv/ri/8jXKfC7/AJFWb/r9m/mK6rUOdLuv+uLn/wAdNcr8Lv8AkVZv+v2b+YoA7aiiigAooooAKKKKAOCv/wDkr2n/APXg3/oyu8/irg7/AP5K9p3/AF4N/wCh13n8VAC0UUUAFFFFABXJ/EP/AJE+4/30/mK6yuT+If8AyJ9x/vp/MUAbHhv/AJFvTv8Ar3T+Vcv4b/5KTr/+6f8A0IV1Hhv/AJFvTv8Ar3T+Vcv4b/5KTr/+6f8A0IUAd5RRRQAUUUUAFFFFAHA/FD/jx0r/ALCEH/oVd1F/qk+grhfih/x46V/2EIP/AEKu6i/1SfQUASUUUUAFFFFABUF5/wAeVx/1zb+VT1Bef8eVx/1zb+VAHF/Cv/kXrj/ruf5Cu7rhPhX/AMi9cf8AXc/yFd3QAUUUUAFFFFABXAXv/JYtN/685f5LXf1wF7z8YtN/685f5LQB3M8yW9vJM5wkalifYDNeKw/2z8VPE1+i6jNZaFZuUXyjjzSOv48ivV/FMzQeGNSkXO4W8mMf7prwL4aap4ovvD76N4YiSGQOZJ7x/U4GKAOm1Xwz4i+Heq2V/oN1e6hYySBZ7Zm3Y4611nxK8Z3fh3wxAbKMrqN6VRBnlSetck/ijxn4B1e1i8WSR32mzyBDOOdv6CtD4yWk91o2l+ILOMzx2rK5VRnjk5oAi0r4S3+o6ZFqGp+IbwanMolDIwwuRnB49TWn8OfE+pxa9eeEtclaW5tRmGZjkyLzj9BW1o/xJ8L3egQ3R1a3iZIgDG74bcAOMV5h4Y10658eft8CFIZEZFyMblAbBoA9d+Ix/wCKE1L/AHU/9DFavhj/AJFrT/8AriKyviN/yImpf7qf+hCtXwx/yLWn/wDXEUAa1FFFABRRRQAUdqKO1AHBeCP+Rn8R/wDXRP5ml+Jn/INsP+vlP/QhSeCP+Rn8R/8AXRP5ml+Jn/INsP8Ar5T/ANCFAHd9zS0nc0tABRRRQAUUUUAMl/1T/SuI+F//ACL1z/18yf8AobV28v8Aqn+lcR8L/wDkX7n/AK+X/wDQ2oAm+Jniifwr4QnvrZczsyxRn0LcZ/WuI0X4YXniHQ4dZ1PXr06hdR+apSTAUEZHb3rtvibDos/gu6j1qcwwHBV1xu3jpjPvivL/AA14p+IFp4X8jTtHa7s4lKwTy5DbOx4oA6v4W+ItUTXtW8JavctdS6b9yZu4ziux8YeN9N8H2m+7Je4dSYYF+859q4H4LCxlv9Tvbydz4hn/AOPqOVcFeR0/GvUNQ8OaVql/BfXtpHPPAMRlxnbQB4f4L8T614g+MaTaks1ujwOY7djwo47f5619DV4kiqn7RbqqgAWpAAGMcJ/hXt1AHnmq/wDJXdN/65f+ytXoX8Vee6r/AMld03/rl/7K1ehfxUALRRRQAUUUUAB6VyPxM/5J7rP/AF7t/KuuPSuR+Jn/ACT3Wf8Ar3b+VAGt4X/5FvT/APriv8hWxWP4X/5FvT/+uK/yFbFABRRRQAUUUUABrz7wV/yPHiP/AHv/AGavQTXn3gr/AJHjxH/vf+zUAeg0UUUAFFFFABR2oo7UAcN49/5Cnhz/ALCEf8zXZz/8er/7h/lXGePf+Qp4c/7CEf8AM12c/wDx6v8A7h/lQBxvwv8A+QBe/wDYRuP/AEOu4rh/hf8A8gC9/wCwjcf+h13FABRRRQAUUUUAFee67/yVvRf+vf8A9mNehV57rv8AyVvRf+vf/wBmNAHdXVwlpbSXEpwkalm+grw3SbfXPi1r1/c3Goz2ej2sjRpFEdu4g8EdfSva9XtWvtJurVPvSxFB+NeM/CrxPYeFbrU/D+uSLZzi4ZkeU7Qw3Hv+IoAm1ix1f4U31nf2Wp3F5pM8qxywytnZk4zxj1ruPHHjRdD8FjVLPBmulAt/cmvPvjV410zVNDj03S51vHEimSSLlU5BHP4VnePp3k+HXgSMk7XdM578cfyoA39H+F2oeINGi1fVtduxqNwvmKFbAQnPHStL4ZeJdTh12+8Ia5cGe6tCTFK3Vl//AFV6dYxrHYQRp91UAFeNSAW/7Q7PGeZISGP4LQB6P4//AORL1D/rmf5Gr3hP/kVNJ/69U/kKo+P/APkTNQH+wf5Gr3hP/kVNJ/69U/kKANqiiigAooooAKQ9DS0h6GgDgPCH/I/+Kv8Ar6P/AKCtegV5/wCEP+R/8Vf9fR/9BWvQKACiiigAooooAD0rzv4m/wDH1oX/AF9p/wChrXoh6V538Tf+PrQv+vtP/Q1oA9EooooAKKKKACiiigCvff8AHjcf9c2/lXJ/Cj/knGmf9dLj/wBHyV1l9/x43H/XNv5Vyfwo/wCSb6Z/v3H/AKPkoA7SiiigAooooAKKKKACiiigAooooA4zxN/yP3hX/rld/wDtGuzrjPE3/I/eFf8Arld/+0a7OgAooooAKKKKACua8d/8idff7o/nXS1zXjv/AJE6+/3R/OgBfA3/ACI+kf8AXsv8zXnniD4d+Lbnx1c+INNvoly37nzMEIOCcA/SvRPAwz4I0gf9Oy/1roSo/wDrUAfNfxL0XxxZeGFm17UYbm089flUKCGJODXp/wAPbLxTpehtc61dpc2wtVe1iUDKgJkDiuh8Z+EYPGWjDTbqVkjEqyZB7itrT7FLDTbezU5WGMRgnuAMUAcl4J+IEPiu4vbWaFbS7tXIMTPyRkiuc+Olxp58MQQOY5L55cQAYLBu3vWr4i+FNnqWrNq2k3kumXznLyRMQG+uKj0T4SW1tqcepa3qE+qXUXKea5K5+hoA63wbDPB4S02O53easQB3dawPCv8AyUHxP/vxf+gV3SqEUKMADoB2rhfCv/JQfE/+/F/6BQB3tFFFABRRRQAUGig0Aef/ABO66D/19n+Qrvl6L9K4H4nddB/6+z/IV3y9F+lADqKKKACiiigAqrqX/INuP9w1aqrqX/INuP8AcNAHIfCn/kUD/wBfU3/oxq7muG+FP/IoH/r6m/8ARjV3NABRRRQAUUUUAFcDef8AJXbf/r1T+bV31cDef8ldt/8Ar1T+bUAbnjj/AJErV/8Ar3P86l8H/wDIq2H/AFz/AKmovHH/ACJWr/8AXuf51L4P/wCRVsP+uf8AU0AbtFFFABRRRQAUUUUAefeE/wDko3iP/rlF/wChNXoNefeE/wDko3iP/rlF/wChNXoNABRRRQAUUUUAFcB8Tv8AV6D/ANhBf5Gu/rgfid9zQf8AsIL/ACNAHb2/NrH7xj+VcVpfxEgvPG1z4bu7YWssYJjkd+HHNdrbf8esP+4v8hXH+L/hvp3imdb5ZJLTUUGEuIm2n9KALXj7VbLTfB99JdSoA0ZVVJGWJ4GBXlGkaVqNt+z5feXHKrSgybQDnblew5rrbT4PPPdRya/rlxqMURBWJpGxn3zXpf8AZ1qunixEKi12bPLwMY/GgDjfhPd6bN8P9OjsjEsqR4mVSM7+eoFcX8VJbW5+InhmLTWV79ZQX8o8gbh97Fbt78HvJvZJ/D+tXOmJK2541kbGfbGMVs+E/hnYeHb86nczyX2on/ltKxbH0zQB1l0CNGmDE7hbNn/vmuZ+F3/Iqzf9fs38xXV6iP8AiWXf/XF/5GuU+F3/ACKs3/X7N/MUAdtRRRQAUUUUAFFFFAHBX/8AyV7T/wDrwb/0Ou8/irg7/wD5K9p//Xg3/oyu8/ioAWiiigAooooAK5P4h/8AIn3H++n8xXWVyfxD/wCRPuP99P5igDY8N/8AIt6d/wBe6fyrl/Df/JSdf/3T/wChCuo8N/8AIt6d/wBe6fyrl/Df/JSdf/3T/wChCgDvKKKKACiiigAooooA4H4of8eOlf8AYQg/9Cruov8AVJ9BXC/FD/jx0r/sIQf+hV3UX+qT6CgCSiiigAooooAKgvP+PK4/65t/Kp6gvP8AjyuP+ubfyoA4v4V/8i9cf9dz/IV3dcJ8K/8AkXrj/ruf5Cu7oAKKKKACiiigArgL3/ksWm/9ecv8lrv64C9/5LFpv/XnL/JaAOt1u1+26Je2wGTJC6ge+DXlPwLuLbTbXU9DnKx30E5LBuCRXs5FefeJ/hfZazqZ1XT7qTTtRblpImIyfw5oAw/jre2reGLXTlZZLuefEca4LZx6da39S16y8IeA9P8A7atzNC8aRSLt3AZB6/pVXw/8KILLVo9V1rUJ9UvIjlDK5Kg/Q12et6DZa/pMmm30e+3cYIAHHvQBx0Hw68DXWzWUgAjkUSkCb5Ox5Xp+lcr4Jhi1z4wX2qWMarY6fEIFKLhT1Xj8q1f+FO3qbrSLxNeJppP/AB7iVunp6V6B4a8Mab4V0tbLTotqjlmPVj70AUPiN/yImpf7q/8AoQrV8Mf8i1p//XEVk/EYf8ULqX+6v/oS1reGP+Ra0/8A64igDWooooAKKKKACjtRR2oA4LwR/wAjP4j/AOuifzNL8TP+QbYf9fKf+hCk8Ef8jP4j/wCuifzNL8TP+QbYf9fKf+hCgDu+5paTuaWgAooooAKKKKAGS/6p/pXEfC//AJF+5/6+ZP8A0Jq7eX/VP9K4j4X8+Hrkf9PMn/oTUAcr8d45fsOjysGNnHcJ5/pjcOtem6FdWMmgWklnLF9m8obdrDAGPapdZ0Wy17TpLG/iEkMnUeleaP8ABy9t2aHTPEt5bWR6Q+a/A9ODigDKsDFcfH2V9IwYUGLpoh8vU9SOPSvbxnafXmuX8I+BdM8IxMbVTJcyf62dzlmP1PNdVigDxMA/8NHyn/p2b+SV7YK48eA7UePW8Vec32gx7Nnb/PFdh3oA891X/krum/8AXL/2Vq9C/irz3Vf+Su6b/wBcv/ZWr0L+KgBaKKKACiiigAPSuR+Jn/JPdZ/692/lXXHpXI/Ez/knus/9e7fyoA1vC/8AyLen/wDXFf5Ctisfwv8A8i3p/wD1xX+QrYoAKKKKACiiigANefeCv+R48R/73/s1egmvPvBX/I8eI/8Ae/8AZqAPQaKKKACiiigAo7UUdqAOG8e/8hTw5/2EI/5muzn/AOPV/wDcP8q4zx7/AMhTw5/2EI/5muzn/wCPV/8AcP8AKgDjfhf/AMgC9/7CNx/6HXcVw/wv/wCQBe/9hG4/9DruKACiiigAooooAK8913/krei/9e//ALMa9Crz3Xf+St6L/wBe/wD7MaAO9kcRoXPQDP8AKvMreLwb8Tru8+02e27tJNjEExue2ex7HpXqB615x4g+FMN/qb6po2ozaXeS/wCteNyA3/fOKAOR+JWj6D4e0K08O6Jbxm6vp0VsEPIBuByT1q38UfD01r8OdAKIT/ZbKXwM4HArq/DHwts9G1L+1NSu5tR1DGBJK5YD8DXa6jp1tqlhNZXkaywSrtZWGaAKHh3WbXU/D9pexzxlGiGeemK8r8OkeJvjnqGp2532VqjIJB0LYX/A1qSfBuaCRodL8QXVpp7EE24c4x+HFdx4R8H6b4P037JYKSW5kkY5Zz6k0ARfEA/8UZqH/XM/yq94T/5FTSf+vVP5CqPj/wD5EvUP+uZ/kaveE/8AkVNJ/wCvVP5CgDaooooAKKKKACkPQ0tIehoA4Dwh/wAj/wCKv+vo/wDoK16BXn/hD/kf/FX/AF9H/wBBWvQKACiiigAooooAD0rzv4m/8fWhf9faf+hrXoh6V538Tf8Aj60L/r7T/wBDWgD0SiiigAooooAKKKKAK99/x43H/XNv5Vynwp/5Jvpf+/cf+j5K6u+/48bj/rm38q5T4U/8k30v/fuP/R8lAHZ0UUUAFFFFABRRRQAUUUUAFB6UUHpQBxfic/8AFfeFf+uV3/7Rrs881wHjm3u7nxn4Vjs7s20vl3fz4z3hrVOheJu3iRh/2yX/AAoA6rNGa5T+wvE//QzH/v0v+FH9heJ/+hmP/fpf8KAOrzRmuU/sLxP/ANDMf+/S/wCFH9heJ/8AoZj/AN+l/wAKAOrJ4rm/Hn/InX/so/nUH9heJv8AoZW/79L/AIVh+MdH8QReF715/EDSxBRuTy1GR+VAHS+BTjwRo/8A17L/AFros15x4O0fxBL4Q0t7fXzFE1upWPygdo59q3P7C8T/APQzH/v0v+FAHV/jRmuU/sLxP/0Mx/79L/hR/YXif/oZj/36X/CgDq/xorlP7C8T/wDQzH/v0v8AhR/YXif/AKGY/wDfpf8ACgDqyeK4Pwr/AMlB8Tn/AG4cf98Vo/2F4myM+JjjP/PJf8K47w5pGvP428QRx66Y5laISSeUvz/LkdqAPXM0ZrlP7C8T/wDQzH/v0v8AhR/YXif/AKGY/wDfpf8ACgDq80ZrlP7C8T/9DMf+/S/4Uf2F4n/6GY/9+l/woA6vNGa5T+wvE/8A0Mx/79L/AIUf2F4m/wChlP8A36X/AAoAyviccnQeP+Xo98dhXfKeF+gryH4haTrcP9jfadbMxa5IQmIfKcD2rtRofibHHiRhnp+6X/CgDq80ZrlP7C8T/wDQzH/v0v8AhR/YXif/AKGY/wDfpf8ACgDq80ZrlP7C8T/9DMf+/S/4Uf2F4n/6GY/9+l/woA6vNVtR5sJx/s1z39heJv8AoZW/79L/AIVXv9E8SLYTsfEjMAhJHlLz+lAEPwqyPB/PX7VPnH++a7jNeTfDjSNdn8L7rXXDbxi4lwnlDrvOe1dd/YXif/oZj/36X/CgDq80ZrlP7C8T/wDQzH/v0v8AhR/YXif/AKGY/wDfpf8ACgDq80ZrlP7C8T/9DMf+/S/4Uf2F4n/6GY/9+l/woA6vNcFeHPxct/8Ar0T+bVpf2F4n/wChlP8A35X/AArm7Oz1Cz+KsS6hqBvHNsmG2gY+97UAdd44/wCRK1b/AK4H+dSeDj/xSun/APXP+tR+OP8AkStX9fs5x+dc94Y0XxFL4ds3h8QNEhX5U8tTjn6UAehZozXKf2F4n/6GY/8Afpf8KP7C8T/9DMf+/S/4UAdXmjNcp/YXif8A6GY/9+l/wo/sLxP/ANDMf+/S/wCFAHV5ozXKf2F4n/6GY/8Afpf8KUaH4mHXxKf+/S/4UAZPhTH/AAsfxGexij/m1eg5rx/w3pWuyeO9dji1sxzLFHvk8pfn5b29q7X+wvE3/Qyn/vyv+FAHVZozXKf2F4n/AOhmP/fpf8KP7C8T/wDQzH/v0v8AhQB1eaM1yn9heJ/+hmP/AH6X/Cj+wvE//QzH/v0v+FAHV5xXA/E05j0LjpqC/wDoJrT/ALC8TD/mZT/36X/CuN+IOk65DHov2nXDMrXyhB5Q+U4PPSgD1i3P+jRD/YH8qlrkIND8TGCMjxIQCg48peOPpUn9heJ/+hmP/fpf8KAOr/Gj8a5T+wvE/wD0Mx/79L/hR/YXif8A6GY/9+l/woA6uiuU/sLxP/0Mx/79L/hS/wBheJv+hlb/AL9L/hQB0GoH/iWXf/XF/wCRrk/hef8AilZv+vyU/qKkvtD8SLYXJbxIzKImJHlLzwfaua+Huka9N4cka110wR/apQE8odcj2oA9XzRmuU/sLxP/ANDMf+/S/wCFH9heJ/8AoZj/AN+l/wAKAOrzRmuU/sLxP/0Mx/79L/hR/YXif/oZj/36X/CgDq80E+9cp/YXif8A6GY/9+l/woOheJ8H/ipSfbyl/wAKAM2+P/F3dOP/AE4N+fmV3nevI7zSdeX4oWMJ10mc2RIl8ocLv6dK7L+wvE3/AEMrZ/65L/hQB1eaM1yn9heJ/wDoZj/36X/Cj+wvE/8A0Mx/79L/AIUAdXmjNcp/YXif/oZj/wB+l/wo/sLxP/0Mx/79L/hQB1ea5P4hn/ij7j/fT+Ypf7C8T/8AQyt/36X/AArnfG2j6/B4Zle514zRCRMr5YGefpQB3Phw48Nad/17p/KuY8Nkf8LJ1/nnaeP+BCun8OY/4RvT8f8APun8q4O0sNUvPiPrY0/UvseFO75A2fmFAHqGaM1yn9heJ/8AoZj/AN+l/wAKP7C8T/8AQzH/AL9L/hQB1eaM1yn9heJ/+hmP/fpf8KP7C8T/APQzH/v0v+FAHV5ozXKf2F4n/wChmP8A36X/AApf7C8Td/Erf9+l/wAKAMv4oH/QdJ7/APExg/8AQ67uI/uk+gryX4haTrkFppzXOtmcG+hCjyhwd30rsItD8TGJSPErcgf8sl/woA63NGa5T+wvE/8A0Mx/79L/AIUf2F4n/wChmP8A36X/AAoA6vNGa5T+wvE//QzH/v0v+FH9heJ/+hmP/fpf8KAOrzUF6f8AQbj/AK5t/Kub/sLxP/0Mx/79L/hUV1oXiUWkxbxISuxsjyl5GPpQBV+FvGgXA7+ef5V3Wa8k+HWk69caHM1rrhgQTEbfKHJwPauw/sLxP/0Mx/79L/hQB1eaM1yn9heJ/wDoZj/36X/Cj+wvE/8A0Mx/79L/AIUAdXmjNcp/YXif/oZj/wB+l/wo/sLxP/0Mx/79L/hQB1ea4G95+MOmn/pzl/kP8K0/7C8Tjn/hJj/35U/0rjbvSdcHxRsIDrpNwbaUrMY14GBxjFAHrtFcp/YXifP/ACMp/wC/S/4Uf2F4n/6GY/8Afpf8KAOr/GiuU/sLxP8A9DMf+/S/4Uf2F4n/AOhmP/fpf8KAOrorlP7C8T/9DMf+/S/4Uf2F4mHP/CSn/vyv+FAC/EY/8ULqQ/2V/wDQ1rU8MH/imdP5/wCWIrh/HWj+IIfB2oPca+Zogq5TygM/MPatLQNF8RyaDZPH4iZEMY2r5KnH6UAd5mjNcp/YXif/AKGY/wDfpf8ACj+wvE//AEMx/wC/S/4UAdXmjNcp/YXif/oZj/36X/Cj+wvE/wD0Mx/79L/hQB1eaCeK5T+wvE//AEMx/wC/S/4Uf2F4m/6GU/8Afof4UAZ/gf8A5GfxH/10Tv8AWl+Joxplhj/n6T/0IVW+HUNxb674gjurjz5RImXxjPWpPiqkkui2aRSeXIbhNr4zg7hQB3wP60ua5T+wvExJ/wCKlP8A36X/AAo/sLxP/wBDMf8Av0v+FAHV5ozXKf2F4n/6GY/9+l/wo/sLxP8A9DMf+/S/4UAdXmjNcp/YXif/AKGY/wDfpf8ACj+wvE//AEMx/wC/S/4UAdTJ/q2+lcR8Lj/xT9x6/aZMj/gRq3JofiYROf8AhJSQAePKXn9K5P4d6Rr02hzm210wILh+PKXk5Oe1AHrWaK5T+wvE/wD0Mx/79L/hR/YXif8A6GY/9+l/woA6vNGa5T+wvE//AEMx/wC/S/4Uf2F4n/6GY/8Afpf8KAOroziuU/sLxP8A9DMf+/S/4Uf2F4m/6GU/9+V/woAyNU/5K9pv/XL/ANlavQc/NXj2oaVri/E7T4X1wtceX8s3lrx8p7Yrt/7C8TZ/5GVsn/pkv+FAHV5ozXKf2F4n/wChmP8A36X/AAo/sLxP/wBDMf8Av0v+FAHV5ozXKf2F4n/6GY/9+l/wo/sLxP8A9DMf+/S/4UAdXmuR+JmT8PdZwOfszkfXFP8A7C8T/wDQyn/v0v8AhXN+PtH1+HwTqj3GvtNEsLbo/LUbh+VAHceGCP8AhHLDByPJXn8BWvmuB8PaN4jl0CxaPxCY0MKlV8lflGOnStP+wvE//QzH/v0v+FAHV5ozXKf2F4n/AOhmP/fpf8KP7C8T/wDQzH/v0v8AhQB1eaM1yn9heJ/+hmP/AH6X/Cj+wvE//QzH/v0v+FAHV15/4L/5HbxEexbr/wACrV/sLxMCM+JWIz/zyX/CuL8KaVrkvjDXki1sxSqfnfyh83zfSgD1/NGa5X+wvE3/AEMrf9+l/wAKT+wvE/8A0Mx/79L/AIUAdXmjNcp/YXif/oZj/wB+l/wo/sLxP/0Mx/79L/hQB1eaCeK5T+wvE/8A0Mx/79L/AIUHQvE+D/xUx/79L/hQBR8ef8hPw56/2jH+HJrtJ/8Aj1f/AHa8y8T6dq1prnh5r/Vjdx/b48J5YGOT7V6bP/x6v/uH+VAHG/DDjQL4cZ/tG47/AO1Xb5ryvwJpet3Wl30llrRtYDqFxiPywcfP9K6n+wvE/wD0Mx/79L/hQB1eaM1yn9heJ/8AoZj/AN+l/wAKP7C8T/8AQzH/AL9L/hQB1eaM1yn9heJ/+hmP/fpf8KP7C8T/APQzH/v0v+FAHVk4BNee68f+Ls6MfS3/APZjWv8A2F4m/wChlP8A35X/AAridX0nW1+JmkxS62XnaHKy+WvA3HjGKAPYM/NS1yn9h+Js/wDIysMj/nkv+FH9heJ/+hmP/fpf8KAOrzRmuU/sLxP/ANDMf+/S/wCFH9heJ/8AoZj/AN+l/wAKAOrorlP7C8T/APQzH/v0v+FH9heJ/wDoZW/79L/hQA/x+f8Aii7/AP65n+VXvCZ/4pPSva1T/wBBFcd400fxBF4Tvnn8QGWMIdyGJfmGD7Vb8N6L4ik8Naa8PiExxtboUXyl+UbRx0oA9AzRmuU/sLxP/wBDMf8Av0v+FH9heJ/+hmP/AH6X/CgDq80ZrlP7C8T/APQzH/v0v+FH9heJ/wDoZj/36X/CgDq80HpXKf2F4n/6GY/9+l/wo/sLxOAT/wAJKf8Av0v+FAGV4QP/ABX3ik+tz/7KK9AzXkPhjSdck8a+I44tcaOVLjEknlL8/wAq+1dp/YXib/oZW/79L/hQB1WaM1yn9heJ/wDoZj/36X/Cj+wvE/8A0Mx/79L/AIUAdXmjNcp/YXif/oZj/wB+l/wo/sLxP/0Mx/79L/hQB1ea87+Jh/0rQv8Ar7j74/jFbP8AYXiYc/8ACSn/AL9L/hXEfEDStbhuNGFzrZm3XSBSYhwd49qAPYd360ua5T+wvE2T/wAVK2f+uS/4Uf2F4n/6GY/9+l/woA6vNGa5T+wvE/8A0Mx/79L/AIUf2F4n/wChmP8A36X/AAoA6vNGa5T+wvE//QzH/v0v+FL/AGF4m/6GVv8Av0v+FAHRXx/0C4/65t/KuU+FB/4txpg/6aXH/o+SnXeieJFs5i3iNiAhyPKHI/KovhMrL8NdKDtubfcZOMZPnyUAdvRRRQAUUUUAFFFFABRRRQAUUUUAcZ4m/wCR98K/9crv/wBo12Vcb4m/5H7wr/1yu/8A2jXZ0AFFFFABRRRQAVzXjv8A5E2+/wB0fzrpa5rx3/yJ19/uj+dADvAv/Ik6R/17L/M10dc54F/5EjR/+vZf610dABRRRQAUUUUAFcF4U/5KD4n/AN+L/wBArva4Lwr/AMlB8T/78X/oFAHe0hOKCcVkeJPEFp4b0S41G8cKka5APc+lAGuDntS15t8LPHt743S/lu4Y4khfEYX0rX8eeN4/B2nxMIftF5cMEhhGfmJPtQB2OaM+1eOS+LPiTY6eNYudEt2tMb2hDMGVfX8q9C8H+KrTxdoUWpWo25O2RD/Cw60AYPxP66D/ANfZ/kK75ei/SuB+J3XQf+vs/wAhXfL0X6UAOooooAKKKKACquo/8g64/wBw1aqrqX/INuP9w0Ach8Kf+RP/AO3qb/0Y1dzXDfCn/kUD/wBfU3/oxq7mgAooooAKKKKACuBvP+Su2/8A16p/Nq76uBvP+Su2/wD16p/NqANzxx/yJWrf9cD/ADqXwd/yK1j/ALn9TUXjj/kStW/64H+dS+D/APkV7H/c/qaAN2iiigAooooAKKKKAPP/AAn/AMlF8R/9co//AEJq78nFcB4S/wCSjeI/+uUf/oTV3c7+XA74B2qTzQBJuozXiSfE3xpq+qX0Xh/w9FeW1tKY943k9B71ueH/ABR8Q73WreDVPC4tbNyA8uG+UevPFAHqIOaTdXF+PfHkPg+2gjih+06hcttgh5+Y8Dt9a5STxJ8Tbe0/tOTRbd7cLvaEFtwFAHsG7J4rgvib/q9B/wCwgv8AI1p+B/Gdr4z0n7VEvlzxnbND/dIxWZ8Tv9XoP/YQX+RoA7i2/wCPeL/cH8hU1Q23/HvF/uD+QqagAooooAKKKKAKuof8gy7/AOuL/wAjXJ/C7/kVZv8Ar9m/mK6zUf8AkF3f/XF/5GuT+F3/ACKs3/X7N/MUAdtRRRQAUUUUAFFFFAHBX3/JXtP/AOvBv/Rld5/FXB3/APyV7T/+vBv/AEZXefxUALRRRQAUUUUAFcn8Qv8AkT7j/fT+YrrK5P4hf8ifcf76fzFAGv4b/wCRb07/AK90/lXMeG/+Sk6//un/ANCFdP4b/wCRa07/AK90/lXMeG/+Sk6//un/ANCFAHeUUUUAFFFFABRRRQBwPxQ/48dK/wCwjB/6FXdRnEKfQVwvxQ/48dJ/7CEH/oVdzH/qU+goAkz0pc15Vrvin4i2ms3MOm+GBcWiNiOTDfMPwNYGr/Er4iaDYm81Pw1Dbwr/ABPvAJoA9zzijNcT4S8W3mpeDn17XbZLOMKXGM4KjvzXKWvj3xn4unnl8M6TAunxMVWeUsN+PT/9VAHsOahvP+PK4/65t/KvM/D3xH1OLxGnh7xZp62V2+TFIp+V+Pc/0r0u7/48p/8Arm38qAOM+Fn/ACL9x/13P8hXd1wnws/5F+4/67n+Qru6ACiiigAooooAK4C9/wCSwab/ANec38lrv64C9/5LFpv/AF5y/wAloA76loooAKKKKACkPQ0tB6UAcp8Rv+RE1L/dX/0IVq+GP+Ra0/8A64isr4j/APIial/ur/6EK1fDH/Itaf8A9cRQBrUUUUAFFFFABRRRQBwfgk/8VP4i/wCuifzNHxM/5Bth/wBfKf8AoQo8E/8AIz+Iv+uifzNHxM/5Bth/18p/6EKAO770tJ3NLQAUUUUAFFFFADJf9U/0riPhd/yL9x/18yf+hNXby/6l/oa4f4XnHh65P/TzJ/6E1AHdmkzisXxP4is/DOhz6nettjjHA9W7D88V5ta+MfiFrlidY07RrdbA5aNHZtzrx/nrQB7HmlzXDeAfHq+Lori1urf7LqdoSs8BHToPU+tR+OPiCfDl1b6Vplr9u1a5yI4QCcfXFAHeZo6145e+NfHvhqCPU9Y0aB9PJHmiJmJjz9fQZr1DQtatfEGk2+o2j7opQD9DjkUAchqo/wCLvab/ANcv/ZWr0L+KvPdV/wCSu6b/ANcv/ZWr0L+KgBaKKKACiiigAPSuR+Jn/JPdZ/692/lXXHpXI/Ez/kn2s/8AXu38qANbwx/yLlh/1xX+QrYrI8Mf8i5Yf9cV/kK16ACiiigAooooADXn3gr/AJHjxH/vf+zV6Ca8+8Ff8jx4j/3v/ZqAPQaKKKACiiigAoPSijtQBw3jz/kJ+Hf+whH/ADNdlN/x6v8A7v8ASuN8e/8AIU8Of9hCP+Zrs5/+PV/9w/yoA474Yf8AIAvf+wjc/wDoddvXEfDD/kAXv/YRuf8A0Ou3oAKKKKACiiigArz3Xf8Akrei/wDXv/7Ma9Crz3Xf+St6L/17/wDsxoA9A/jp1J/EPpS0AFFFFABRRRQBy/j/AP5EvUP+uZ/kaveE/wDkVNJ/69U/kKo+P/8AkS9Q/wCuZ/kaveE/+RU0n/r1T+QoA2qKKKACiiigApD0NLSHoaAOA8If8j/4q/6+j/6Ctd+TiuA8If8AI/8Air/r6P8A6CtdjqupW2k6bcX124WGFCzE+3NAF7NGa8btPH/jPxbNLceGtJgXTo2ISaXcN+D9fY10PhD4hz6jrcnh/wAQWQsNXjGQgztkHqM/Q0AeiHgUmaQn5TXlvxQ+Kf8Awh8kNjpqxzXzfM4Y8KP8j9aAPU81558Tf+PrQv8Ar7T/ANDWu20q5e80y2uJMB5IlZsHPUVxPxN/4+tC/wCvtP8A0NaAPQ6WiigAooooAKKKKAK99/x43H/XNv5Vyfwo/wCScaZ/10uP/R8ldZff8eNx/wBc2/lXJ/Cj/knGmf8AXS4/9HyUAdpRRRQAUUUUAFFFFABRRRQAUUUUAcZ4m/5H7wr/ANcrv/2jXZ1xnib/AJH7wr/1yu//AGjXZ0AFFFFABRRRQAVzXjv/AJE6+/3R/OulrmvHf/InX3+6P50AO8C/8iRo/wD17L/WujrnPAv/ACJGj/8AXsv9a6OgAooooAKKKKACuC8K/wDJQfE/+/F/6BXe1wXhX/koHif/AH4v/QKAO4llWKJ5G4VAST7AZrxvUXm+J3iq4gTP/CPaWrMxBwsz4I/HkA10fxe1PWLLwuINHglkknba5iUkhcjPT2rhfDvxBn8NeGU0q28IXoAjIkk2PksRgn7tAG18Eo0jvtfjjG2NbkhVHYcVZ+Mmk3ajTPEcIR49MIaWNz1AyT9a4b4WeNbvTNbvIE0e4n+23GXZVP7vp149q6fx7NN4j+JujeHbqaSHTmUGSMNt3gnnNAFvVPjT4cuPCksNuszXU0PlCEx4UEgjr6dO1bnwe0C70fwuZ7zYst3I02xGyFBORW5eeA/Dk+jtYf2bAiBNodEAYED+91rh/gxqN3Dquu+HZJmmtLCYiBnbccbm4zQB0nxO66D/ANfZ/kK75ei/SuB+J3XQf+vs/wAhXfL0X6UAOooooAKKKKACqupf8g24/wBw1aqrqX/INuP9w0Ach8Kf+RQP/X1N/wCjGrua4b4U/wDIoH/r6m/9GNXc0AFFFFABRRRQAVwN5/yV23/69U/m1d9XA3n/ACV23/69U/m1AG544/5ErVv+uB/nUvg//kV7H/c/qai8cf8AIlat/wBcD/OpfB//ACK9j/uf1NAG7RRRQAUUUUAFFFFAHn/hP/koviP/AK5Rf+hNXUeJ70ad4bv7okDZCeT+X9a5fwn/AMlF8R/9cov/AEJq63XZ9Pt9HuH1Qr9j2/vNwBGPxoA8A+G/jW70DQbmHSNDudRu5pvMkZUbaOMdR9BXp3hH4p2XiHUTpWoWsmm6icgQygjP511Ph+30ZdHjl0aKEWsg3IY1HP5V5R8XrO3svGvhy9skWO8aUZEYGX+bvQB6Tq3grTNb1601m7DNcWxBjBHA6f1FaPiHVrPRdEuby9lCQiNgc9ziq+reI7Pw54eTUNRlCYjBC92OBwBXlFnpuufF3V11DU99p4ehfMUOMF/qKANX4IWs8x1XWjEYrW8kJiTGOOOcV0nxO+5oP/YQX+RrsrCwt9Ms4rS0iWKCMbVVR2rjfid9zQf+wgv8jQB3Ft/x7xf7g/kKmqG2/wCPeL/cH8hU1ABRRRQAUUUUAVdR/wCQXd/9cX/ka5P4Xf8AIqzf9fs38xXWaj/yC7v/AK4v/I1yfwu/5FWb/r9m/mKAO2ooooAKKKKACiiigDgr/wD5K9p//Xg3/oyu8/irg7//AJK9p/8A14N/6MrvP4qAFooooAKKKKACuT+If/In3H++n8xXWVyfxD/5E+4/30/mKANjw3/yLenf9e6fyrl/Df8AyUnX/wDdP/oQrqPDf/It6d/17p/KuX8N/wDJSdf/AN0/+hCgDvKKKKACiiigAooooA4H4of8eOk/9hCD/wBCruY/9Sn0FcN8UP8Ajx0n/sIQf+hV3UX+pj+goAU/KuSQFHWvEdWmm+JfxLj0eN2/sfTGzPtPDmvTPHesjQfB2oX27DLGVX8eP61yPwT0M2PhP+1JVJuNQYyFz1xx/hQB3WpeHbPU9BfR5AY7V4/LIT+7TtA0Oz8N6PFp9mAtvFkgnjqc1qOVVSzHCjkmvHvF/jvUvEGrnwr4QRjKxK3N0q/KnTjPToTQBm+NrpPFvxV0nTtKBd7Jw8sqcjjkjP4V7ZdAixnGekbf+g1yvgTwHZ+DrEtkTahNzPO5ySfr+NdZd4+xT/8AXNv5GgDjPhZ/yL9x/wBdz/IV3dcJ8LP+RfuP+u5/kK7ugAooooAKKKKACuAvf+Sxab/15y/yWu/rgL3/AJLFpv8A15y/yWgDv6KKKACiiigAoPSig9KAOU+I/wDyImpf7q/+hCtXwx/yLWn/APXEVlfEf/kRNS/3V/8AQhWr4Y/5FrT/APriKANaiiigAooooAKKKKAOD8E/8jP4i/66J/M0fEz/AJBth/18p/6EKPBP/Iz+Iv8Aron8zR8TP+QbYf8AXyn/AKEKAO77mlpO5paACiiigAooooAZL/qX+hrh/hf/AMi7c4/5+ZP/AEJq7iX/AFL/AENcP8Lxnw7cj/p5k/8AQmoAPir4euPEfgu4t7WQCWNxKNxwDt5xXKeGPjF4e03wvDY6gs0V1aR+SyRpkErwOc1b+NmrXlrpunabbTSQxX06rI6EghcgYyK6nRPAnh2z0CG1/s6CfdGN8kiKzMSOuTQBxfwnsp9U8Ta54xZVhttQzsiTjHIPI/CsCz8TabZfFbxBrOrlpPIPl20KLuYthThRWpoKyeEfjBNoGnzO2m3S5ETNuEfJPGelZfhDRLWf46a1FfxqzW7GSNJRwWG3sevWgDorn4r6feA2XiHQ7q3024JTzJY2wQeB16cE16Z4etNMtdHgXSFRbIjegTpzzWT480nT77wXqSXMEO2K3Z0YqPlIBxiue+B11cXHgNVmdnSOd0jZj1Xcf/rUAW9V/wCSu6b/ANcv/ZWr0L+KvPdV/wCSu6b/ANcv/ZWr0L+KgBaKKKACiiigAPSuR+Jn/JPtZ/692/lXXHpXI/Ez/kn2s/8AXu38qANfwx/yLlh/1xX+QrXrI8Mf8i5Yf9cV/kK16ACiiigAooooADXn3gr/AJHjxH/vf+zV6Ca8+8Ff8jx4j/3v/ZqAPQaKKKACiiigAo7UUdqAOG8e/wDIU8Of9hCP+Zrs5/8Aj1f/AHD/ACrjPHv/ACFPDn/YQj/ma7Of/j1f/cP8qAOO+GH/ACAL3/sI3P8A6HXb1xHww/5AF7/2Ebn/ANDrt6ACiiigAooooAK8913/AJK3ov8A17/+zGvQq8913/krei/9e/8A7MaAPQf4h9KWk/iH0paACiiigAooooA5fx//AMiXqH/XM/yNXvCf/IqaT/16p/IVR8f/APIl6h/1zP8AI1e8J/8AIqaT/wBeqfyFAG1RRRQAUUUUAFIehpaQ9DQBwHhE48f+Kv8Ar6/otN+Mazt8Obvyc5BXfj+7g5p3hH/kf/FX/X1/7Ktdfq8FjcaTcQaiyLayIVcucADGOtAHN/DOWxfwJp/2F4yoUBthH3u+fxrz34l6jb2nxU0KS2cfa1YCXBGQp4x/Or9r8MNa02eSXwr4kMWnTEkRg7lXJOcYauW8ReEodJ8c6Fp4u5r3U3m82eVmJJGAcfzoA9r8ZeKoPC2gSXbndcMNkEY5Luegrwjxr4XnsvAi+IdW3Pq2o3SyMGPMSlT8vt90VseNNZ1N/icZ7/Q7q+sNPkK28caNsZhkbuhz1rK+JnxAu/E3h2Gyn0C5sESUOHdWAJweORQB9DaAc6BYZ/54J1+lcf8AE3/j60L/AK+0/wDQ1qb4a+LrjxHpnkS6VNaLbIiK7g4cY681D8Tf+PrQv+vtP/Q1oA9EooooAKKKKACiiigCvff8eNx/1zb+Vcn8KP8AknGmf9dLj/0fJXWX3/Hjcf8AXNv5Vyfwo/5Jxpn/AF0uP/R8lAHaUUUUAFFFFABRRRQAUUUUAFFFFAHGeJv+R+8K/wDXK7/9o12dcX4nP/Fe+Ff+uV5/7Rrs6AFooooAKKKKACua8d/8idff7o/nXSnpXNeO/wDkT7//AHR/MUAO8C/8iRo//Xsv9a6Ouc8Cf8iRpH/XuP5mujoAKKKKACiiigArgvCv/JQfE/8Avxf+gV3prgvCv/JQvE/X70X/AKBQB3bIrfeAP1FQXEIe2lRU5ZSAPwqzSHkUAea/DLwhqfhu81aXUYUjW4mLoR3HH/16l+IfgK58QXFprGjzC31azyUJGQwz0r0TFLQB43LqfxXu7U6c2lRRyMNrXOByPXGa674eeCB4P02Rp5fO1C6bfcSgdSTnFdrtHoKAMelAHA/E7roP/X2f5Cu+Xov0rgPid10H/r7P8hXfjov0oAdRRRQAUUUUAFVdS/5Btx/uGrVVdS/5Btx/uGgDkPhT/wAigf8Ar6m/9GNXc1w3wp/5FA/9fU3/AKMau5oAKKKKACiiigArgbz/AJK7b/8AXqn82rvq4G8/5K7b/wDXqn82oA3PHH/Ilat/1wP86l8H/wDIr2P+5/U1F44/5ErVv+uB/nUvg/8A5Fex/wBz+poA3aKKKACiiigAooooA8/8J/8AJRfEf/XKL/0Jq63XtGt9f0W6026UGKdNprkfCX/JRvEf/XKL/wBCavQT0oA8R0vTPiJ4BEmmaVaR6lpwbMRwBsHYda0PD3gfX9e8UxeJfGLorwfNb24HCGvXMCjbx/8AWoA8W+KvhDxh4n8QW7abbrJp1uAY0LDaTkdQajtk+MNpbrBBaWEcSDaqiIDj8Gr23A9B+VGB6D8qAOJ8CyeNHe4PiuOBflHleUoH9ah+J33NB/7CC/yNd7jnNcF8Tv8AV6D/ANhBf/QTQB3Ft/x7xf7g/kKmqG3/AOPeIf7A/lU1ABRRRQAUUUUAVdR/5Bd3/wBcX/ka5P4Xf8irN/1+zfzFdXqP/ILu/wDri/8AI1ynwt/5FSb/AK/Zv5igDtqKKKACiiigAooooA4K/wD+Svaf/wBeDf8Aoyu8/irg7/j4vaeT/wA+Df8Aodd2OTmgB1FFFABRRRQAVyfxD/5E+4/30/mK6yuT+IfPhC4/30/mKANjw3/yLenf9e6fyrl/Df8AyUnX/wDdP/oQrp/Df/It6d/1wT+Vcx4dI/4WTr/+6f5igDvKKKKACiiigAoooNAHA/FD/jx0n/sIQf8AoVd1H/qY/oK4T4otix0o/wDUQg/9Cru4eYU/3RQBxHxR0HU/EnhtNP0yPezSDzBnHGRXR+GtNfSPDdhYOoV4IQpUetaxUGlxQBzHju21e98LXVpoqk3UqlPoCK8f8M+F/if4Thkj0ywtAZG3tJIgLEnk85r6GxnrzRtHoPyoA8h06b4u/wBoQC8htBa+YPMKpzjPP8VerXefsM+evltn/vmrG0dgPyqG8B+xT/8AXNv5UAcZ8LP+RfuP+u5/kK7uuE+Ff/IvT/8AXc/yFd3QAUUUUAFFFFABXAXv/JYtN/685f5LXf1wF7/yWLTf+vOb+S0Ad/RRRQAUUUUAFB6UUHpQBynxH/5ETUv91f8A0IVq+GP+Ra0//riKyfiN/wAiLqf+6v8A6Etavhc58M6f/wBcRQBr0UUUAFFFFABRRRQBwfgn/kZ/EX/XRP5mj4mf8g2w/wCvlP8A0IUeB/8AkZ/Ef/XRP60vxNGNMsP+vpP/AEIUAd13NLSCloAKKKKACiiigBkv+pf6GuI+F3/IvXH/AF9Sf+htXbS/6l/oa4n4Xj/in7j/AK+ZP/QmoAu+PPB0XjLQjZs4juI23wyf3WBz/SuFsr34qaFZrpQ02K9EY2xXBA6ds817MRx1pCAewoA808A+AtSsdZuPEniWZJtWuOiqOI/am+OfAepy67D4m8MSiLVIv9YjDIl+tem4owKAPFdSh+JnjC1Gj31nHp9o4AmmAGW/WvUfC/h+28M6Hb6Zaj5Yhlj6setbOOeKXBFAHnuq/wDJXdN/65f+ytXoX8Veeap/yV/Tf+uX/srV6H/FQAtFFFABRRRQAHpXI/Ez/kn2s/8AXu38q649K5H4mf8AJPtZ/wCvdv5UAa/hj/kXLD/riv8AIVr1j+GDnw5Yf9cV/kK2KACiiigAooooADXn3gr/AJHjxH/vf+zV6Aa8/wDBX/I8eI/97/2agD0GiiigAooooAKO1FB6UAcN49/5Cnhz/sIR/wAzXZz/APHq/wDuH+VcZ49/5Cnhz/sIR/zNdnP/AMer/wC4f5UAcd8MP+QBe/8AYRuf/Q67euH+GH/IAvf+wjcf+h13FABRRRQAUUUUAFee67/yVvRf+vf/ANmNehHpXnuu/wDJWtF/69//AGY0Aeg/xD6UtIOtLQAUUUUAFFFFAHL+P/8AkS9Q/wCuZ/kaveE/+RU0n/r1T+Qqj4/z/wAIXf8A/XM/yNXvCf8AyKmk/wDXqn8hQBtUUUUAFFFFABSHoaWg9KAPP/CP/I/+Kv8Ar6/9lWus17R4td0S706Ziqzxsm4dRmuT8In/AIuB4q/6+c/+Oiu/IyKAPEtKtPiR4Jt5NIsLGPULJWJglIxjP1Nb3gvwNqv/AAkEninxTIsmpyD93GowIx9Oa9OwKXHOaAGGMZztGa8++LPhXUfFXhu3s9JhV5kn38nHH/669FPSmlRQBQ0e2e00qzgkADRwqrD0IAH+NcZ8Tf8Aj60L/r7T/wBDWvQsYrzz4m/8fWhf9faf+hrQB6LRSd6WgAooooAKKKKAK99/x43H/XNv5Vyfwo/5Jxpn/XS4/wDR8ldXff8AHhcY/wCebfyrlPhR/wAk40wf9NLj/wBHyUAdpRRRQAUUUUAFFFFABRRRQAUhOBS0hGRQB5/47ub2w8ReHdTtdKvdQS3W5WWO0gaVlLeVjO3OOhpR8RdQ7eDvEHX/AKB8n+Fd6Ew2afQBwH/CxNR/6E3xB/4L5P8ACj/hYmo/9Cb4g/8ABfJ/hXf0UAcB/wALE1H/AKE3xB/4L5P8KP8AhYmo/wDQm+IP/BfJ/hXf0UAcB/wsTUf+hN8Qf+C+T/CsnxJ4y1TV9BubKLwf4gDyjAJ0+T1HtXquKTFAHlnhvxpqmkeHrDT5fB3iAyQQhWI0+Trz7Vq/8LE1H/oTfEH/AIL5P8K77HOaWgDgP+Fiaj/0JviD/wAF8n+FH/CxNR/6E3xB/wCC+T/Cu/ooA4D/AIWJqP8A0JviD/wXyf4Uf8LE1H/oTfEH/gvk/wAK7+igDgP+Fi6j/wBCb4g/8AJP8K5rRfE2r6f4o1jU5PB+vmO8MZQCwk4wpB7V7GRxRjmgDgf+Fiaj/wBCb4g/8F8n+FH/AAsTUf8AoTfEH/gvk/wrv6KAOA/4WJqH/Qm+IP8AwXyf4Uf8LE1D/oTfEH/gvk/wrv6KAOA/4WJqH/Qm+IP/AAXyf4Uf8LE1D/oTfEH/AIL5P8K7+jFAHjHi/wAR6xrx0ww+ENfUWs/mN/xL5OR+VdOPiJqIAH/CG+IMgc/8S+T/AArv8CjFAHA/8LE1H/oTfEH/AIL5P8KP+Fiaj/0JviD/AMF8n+Fd/RQBwH/CxNR/6E3xB/4L5P8ACj/hYmo/9Cb4g/8ABfJ/hXf0UAcB/wALE1H/AKE3xB/4L5P8Khu/iBqU9pLEPB3iDLKQP+JfJ/hXotGKAPHfBfijVvD+hmxn8H6+z+fI+Rp8nRmJHb0Iro/+Fiaj/wBCb4g/8F8n+Fd8BiloA4D/AIWJqP8A0JviD/wXyf4Uf8LE1H/oTfEH/gvk/wAK7+igDgP+Fiaj/wBCb4g/8F8n+FH/AAsTUf8AoTfEH/gvk/wrv6KAOAPxF1AD/kTfEH/gBJ/hWfo97qWv/EVdTk0PUrC3it1Tdd2rxZPPr9a9OI4NN2/MD6fjQBi+L7aa88J6nb28bSSvCQiKMkn6Vxeh+NtS0zR7ezfwhr7vEuCy6fJg/Tj3r1DHFNCAEHnj15oA4P8A4WJqP/Qm+IP/AAXyf4Uf8LE1H/oTfEH/AIL5P8K7+igDgP8AhYmo/wDQm+IP/BfJ/hR/wsTUf+hN8Qf+C+T/AArv6KAOA/4WJqP/AEJviD/wXyf4Uf8ACxNQ4/4o3xB1/wCgfJ/hXf0YoA8Y0PxJrGneLNV1OTwhr5ju0RVA0+Tggknt7iuo/wCFiaj/ANCb4g/8F8n+Fd8FAOaWgDgP+Fiah/0JviD/AMF8n+F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"path": null
} | "$\\boxed{C}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Kamilla wrote down all of the numbers from 1-100 one after the other in a table with 5 columns. A part of the table is shown. Her brother cut out a piece of the table and erased some of the numbers. Which of the following could this piece have been?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
474 | lines are drawn on a piece of paper and some of the lines are given numbers. The paper is cut along some of these lines and then folded as shown in the picture. What is the total of the numbers on the lines that were cut?
<image1> | {
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"path": null
} | "$\\boxed{20}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "lines are drawn on a piece of paper and some of the lines are given numbers. The paper is cut along some of these lines and then folded as shown in the picture. What is the total of the numbers on the lines that were cut?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "descriptive geometry" | MathVision |
475 | Which stone should Mr Flintstone place on the right side of the scales, so that both sides weigh the same?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{C}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Which stone should Mr Flintstone place on the right side of the scales, so that both sides weigh the same?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "arithmetic" | MathVision |
476 | A game is played on a board as shown in the picture. I move the counter from square to square according to the following rules. First, one square to the right, then one square up, then one square left, then one square down, and then once again one square right. Which picture shows where the counter can then be found?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{B}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A game is played on a board as shown in the picture. I move the counter from square to square according to the following rules. First, one square to the right, then one square up, then one square left, then one square down, and then once again one square right. Which picture shows where the counter can then be found?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "analytic geometry" | MathVision |
477 | Maria describes one of these five shapes in the following way: "It is not a square. It is grey. It is either round or three sided." Which shape did she describe?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{B}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Maria describes one of these five shapes in the following way: \"It is not a square. It is grey. It is either round or three sided.\" Which shape did she describe?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "logic" | MathVision |
478 | Which shape has the biggest area?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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Oz/65/wBa06AMXdrX96P/AL4qpqF7rFjAJSYzmRV+5610tY3iT/kGJ/13j/nQA3OtD+KP/vil3a1/ej/74rZFLQBibta/vR/98VFLfanaTR+eUKuwHCYroKxdczutx/tj+dAGheztbWcsw6oM9Ky4LnWLiISKYwD0BWtDVv8AkF3P+5S6X/x4R0AU92tf3o/++KN+s+sf/fFbNFAHPXt3rFpZy3BMeEXP3Klik1l4kcGP5lB+57VZ17/kBXnX7n9auWn/AB5wf9c1/lQBm7ta/vR/98Ub9Z9Y/wDvitmjtQBzd3faxbT20R8smd9gOyrW7WR/FH1/uU7Vz/xMdJ/6+D/KtcUAY+/WvWP/AL4pN+s+sf8A37rapD3oA5ua/wBYhu4oD5eXOPuVbDayP4o/++KL7P8AbVp/vjv7Vs96AMfdrX96P/vikL61/ej/AO+K2qQ0Ac4l9rD6jLaDy8xoGzs9atb9a9Y/++KW3P8AxVN4Of8AUJ3rYFAGNv1r+9H/AN8UbtZyMtHyf7lbVIRzQBzmn32sX1u0oMYAdl+56Gre7Wv70f8A3xS+G/8AkGyZ/wCe8n862KAMbdrX96P/AL4pkk2sxozkx4Az9ytyobv/AI9ZPpQBW0u6e7sllkAD5IOBjpV+szQv+Qcf+ujVp0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFIeopaQ9RQBjt/wAjG3+4tbArHY/8VIf9xa2BQAtIaWkNAGTa/wDIzX3/AFyStese1/5Ga+/65JWxQAU1/uN9KdTJCAjfSgDL8Of8gv8A7av/ADrXrI8O8aVz/wA9X/nWvmgAqtf/APHnJ9KsZqtfc2cmATx6UAQ6L/yDI/qa0KztFI/syMZ9a0aACsnxD/yCW/30/nWtWT4h/wCQS3++n86ANSP/AFa/SnUyP/Vr9KfQAVj3f/Ix2H/XN62Kx7v/AJGOw/65vQBsUUUUAFYv/Mxr/uNWzmsbB/4SNTjjY1AG1SHqKWkPUUAY7f8AIyH/AHFrYFc9eXtvZ+Ii08gQbF61f/t/TP8An6X8jQBp5FIeQazf7f03/n5H5Gk/t/TMf8fQ/I0ARW//ACNV5/17p/M1sCuYg1qwXxJdSm5GxoEAOK1f7f0z/n6X8jQBp5ozWZ/b+m/8/I/I1Wv/ABXpOn2M11JcgpEu48GgCTw5/wAg5/8Aru/862K8Asvj9Y6YktqNFnmAldgyyAA5NWf+GkbL/oX7r/v6tAHu1QXf/HpJ9K8Q/wCGkbH/AKF65/7+rTZf2jbGWJk/4R+5GR181aAPZNCI/s4/9dGrUzXm3gH4m6JrunlHmFtcBixidsnBPFdt/b+mf8/S0AaeRWZr3/ICvP8Ac/rR/b+mf8/K/lWfreuadLo10iXClinAxQBuWn/HnB/1zX+VT5FY9trumrbRKblchFzwfSpf7f03/n5H5GgDSJGKyNX/AOQjpP8A13P8qk/t/TP+flfyNZmp61p8l9pjLcKQs5JPpxQB02aXIrL/ALf03/n6H5Gl/t/Tf+fkfkaANI9Kxr4/8Tqz/wB8fyqY+INMx/x9L+RrPl1G0vNctBBNvO8dvagDpO9IeoooPUUAY7f8jG3+4tbArHY/8VI3+4tbAoAWkbofpS0jdKAMeD/karz/AK90/ma2R0rGt/8Akar3/r3T+ZrYHSgBa5zx7/yIusf9e5/mK6Oub8e/8iJrH/Xuf5igDxf9nYbvE/iFccfZ1yP+BmtT4s/ChXSXXtCh2yJ888C9MDuvfJJrM/Z0/wCRr8Q/9e6/+h19EMu7qM/hQB8//Cv4qyWc6eH9fkPB2RzOcEEcbTxxgCveZ5Eks3dWDKV4YHgivEfi18KBIkuvaFDtdAXngXpgd175JNZ/w0+Kstop8P69I5x+7imY8g9MHjgADrQB7roX/IPP/XRq06yPD7q+mb0KlC7EFDkEZ7VrZBoAWszX/wDkBXn+5/WtOszXudCvP9z+tAFy0/49IP8Armv8qnqC0/484P8Armv8qnoAD0rG1f8A5CWk/wDXc/yrYPSsfWCP7R0n/ruf5UAbIopAaWgBDWPff8hqz/3x/Ktg9Kxr4j+27P8A3x/KgDa70dqO9FAGNqX/ACGLT/cP862e1Y2pf8hi0/3D/OtntQAUUUUAY9x/yNFl/wBe71sVj3H/ACNNn/17vWxQAUhpaQ0AY2j/APH/AKt/13H/AKCK2h0rG0j/AI/9W/67j/0GtntQAU1/9W30NOpkn+rb6GgDL0T797/10H8q1hWRon37z/roP5VrigBagvP+POf/AK5t/Kp6gvP+PKf/AK5t/KgCnoH/ACA7P/c/rWnWZoPGh2n+5/WtOgArG8Sf8gxP+u8f862axvEfOmx+88f86ANgdKWkHSloAKxdc+/b/wC+v862qxdc+9b/AO+v86ALmrf8gq5/3Kdpf/HhH9Kbq3/IKuf9yl0o/wCgR0AXaKKKAMzX/wDkBXn+5/Wrlp/x6Qf9c1/lVPXudDux/sf1q5af8ecH/XNf5UAT0HpRSE4BNAGPq/8AyEtJ/wCu5/lWyKxtY/5COkn/AKbn+VbAIoAWkNGR6igkHvQBj33/ACGrP/fH8q2e9Yt8R/bdpyPv/wBK2cj1oAWkbofpRkeopCQQcGgDIg/5Gq8/690/ma2R0rGtyP8AhKrzn/l3T+ZrYFAC0UUmRQBkeHP+QdJ/18SfzrYrH8Of8g6T/ru/862KACobv/j1k+lTVDd/8esn0oApaH/yDz/10b+dadZmh/8AIPP/AF0b+dadABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABSHrS0negDnb6+Sz8Q5dJXGxeEXNWxr9v3trr/v0aaw/wCKjb/cWtkCgDI/4SC3/wCfa6/78mk/4SC37Wt3n/ria2aQ0Acpb61Cuv3kv2e5IeNMDyua1B4gt8f8et1/35NJaDHia+/65JWwBQBkf8JBb/8APtdf9+TWbrvjG20rR7i9+y3JEa/xRECuqrk/iRj/AIQHVeP+WVAHiVr8e9cs1e2ttHtJUV2IJLZ61Y/4aE8Tf9AG0/NqPgHo2navqGuDULSK48tU27xnGSc17l/whXhv/oDWv/fNAHhv/DQnib/oA2n/AI9TJv2gPEckTI+hWiqRyctXuv8AwhXhv/oDWn/fNU9T8EeHH0+Zf7HtRlSMheRQByXw9+LOna1YJZ3SNFfLyY0Gc/T1r0D/AISC2/597nPp5VfMvinwXq3gi/j1zSmk+y7yyOnVcdj/ACr2b4Z/Ey28WWSWd44i1CMAMpP3vp3NAHa/8JBb/wDPtdf9+TWZrmtQTaYyi3uR8y/eix3rqMj8ay/EOP7KfP8AfX+YoAjj1+3CKDbXXHpEaf8A8JBb/wDPtdf9+TWpF/q147U+gDH/AOEgt/8An2uv+/JrMutZgfXLKTyLjAjcY8o5611dY16P+KisOP8Alm5xQAv/AAkFvz/o11/36NH/AAkFv/z7XX/fk1rgetLQBjf8JDbj/l2u/wDvyaqWd7HeeIVZIpU+VvvpiujIrGHHiMf7rUAbI6UHqKKD1FAGLLGkniEh1VsIvUA1qi2g/wCeMf8A3wKzG/5GNv8AcWtgUAR/Zof+eMf/AHwKQ20AH+pj/wC+BU1I3Q/SgDDt4If+EovFMSbRAhA2itcW0H/PGP8A74FZkH/I1Xn/AF7p/M1sjpQBF9mh/wCeMf8A3wK5vx5BCvgbV2EMeRbk/dHqK6mub8e/8iJrH/Xuf5igD5/+C/hfSvE/iLWrfVYGmjgiDIA2MHfivah8I/CGTiwcf8Dry79nT/ka/EH/AF7r/wCh19F0AcL/AMKj8Jf8+L/9/P8A61QXvwk8JfZJMWMgOOCJK9BqC8/49Jf92gD5K8Q+GdX+H+srq1juNsJW8t8ZAI7Gvdfhx490vxhpyxSxwxX8agPGVHOOM/j1roV0ay13w9NY30IlgkdlIYZIHfFfOvi7wlrHwy8Rrqemuwtg++OReg/2T64oA+qhb2/aGP8A74FZ2uwQrot2whjGE6hRXJ/Dn4j2fi/TlimYRaggxJETyegz+PWuv15gdCvP9z096ALFnbQ/Y4Mwx58tedo9Kn+zQ/8APGP/AL4FNs+bOD/rmv8AKp6AIvs0P/PGP/vgVj6vBENQ0oCJBmfkbR6VunpWNq//ACEtJ/67n+VAGmLaD/nhH/3yKX7ND/zxj/74FSiigCE20H/PGP8A74FZF5Eket2mxFXLjoAO1bhrHvv+Q1Z/74/lQBsUHqKXvSHqKAOcv3vU8Qk2cMUjbF++2KufaNd/58bX/v7SN/yMbf7i1sCgDH8/Xv8Anxtf+/poNxrwwfsNr/39rZpG6H6UAcnDNrH/AAkV0RZ25lMKblMpwBWoJ9e/58LT/v6aIP8Akarz/r3T+ZrZHSgDG8/Xv+fG1/7+muf8cT60fBOrCWztlTyDuIlOQMiu5rm/Hv8AyImsf9e5/mKAPD/gHJer4l177HDHK/kKGDvgAb6978/Xf+fC1/7+mvDf2dP+Rr8Qf9e6/wDodfRdAGKZddYEGxtMEYwZTzXifxN+F1/KbjX9PsoIdgLyxRPngZzgepJr6GqteLm1kyM/LigD54+GPxTvdMMfh/UEjc7iqSTPtwf7vTjFe6R3mtSIHjs7NlYZDCbgivE/iD8LDcadL4g0SP50dnmgXpgd175JNS/Cr4qS2kyeH9fkPB2RTOcEEcbTxxgCgD2r7Rrv/Pja/wDf01R1i41r+yLnzbK2VNnJEua6KORJFDqwZW+6wPBFUdf50K8/3P60AVLafXBawhbK1K7BgmX2qXz9e/58bX/v6a0rT/j0g/65r/Kp6AMf7Rr3/Pja/wDf41l6nNrBv9N8yztlbzvlAkOCcV1h6Vjav/yEtJ/67n+VAAJ9dwP9Btc9/wB7R5+vf8+Nr/39NbIooAxvtGu/8+Fr/wB/TVJ5NQfXLQXdvFGN4+4+e1dKax77/kNWf++P5UAbHelPSjvR2oA5/W47h9UtBbSiN9h5IyOtWBaa3/0EYP8Av1Sal/yGLT/cP862e1AGP9k1v/oIw/8Afqj7Jrf/AEEYf+/VbFFAHKT2uq/8JFaqb2IyGF8N5fQZrT+x61kkahDjsPK6UXH/ACNFl/17vWxQBj/ZNb/6CMP/AH6pDaa1j/kIw/8AfqtmkNAHKabbaq17qXl3sSsJgGPl9eK1Pset/wDQRh/79U3R/wDj/wBW/wCu4/8AQRW0OlAGP9k1v/oIw/8AfqmyWmteW2dRh6H/AJZVtU1/9W30NAHLaVa6sxuvLvolIkGf3ftWkLTW/wDoIw/9+qdon373/roP5VrCgDI+ya3/ANBGH/v1UVzaayLWYtqEJGxsjyuvFbtQXn/HnP8A9c2/lQBz+jWurtpFs0N9CiFeFMfSr/2TW/8AoIw/9+ql0D/kB2f+5/WtOgDH+ya3/wBBGH/v1WZrltqqWMZmvonTz4+BH711dY3iT/kGJ/13j/nQAotNbwP+JhD/AN+qPsmt/wDQRh/79VrjpS0AY/2TW/8AoIwf9+qzdSt9SSaA3F3HIu8YCpjvXVVi659+3/31/nQBb1gH+yLrB52VmafBrZtEMd5bKnYFCa1NW/5BVz/uU7S/+PCP6UAU/s+u/wDP9a/9+jR9n13/AJ/rX/v0a2KKAOZ1m31kaRcmW8tmjCcgRVZtrfXDawlby1A2DAMXtVrX/wDkBXn+5/Wrlp/x6Qf9c1/lQBnfZ9d/5/rX/v0aGt9d/wCf62xj/nlWxRQB80fHDVtctvEENlJfYWNVdfs+U5IrEg8AfES4gjnibVPLkUOp85uQRn1rU/aAI/4TRCenlJ2z/DX0ZoK48P6b/wBesX/oAoA+Y/8AhXXxI/v6r/3+f/4qj/hXXxI/v6r/AN/n/wDiq+rce1IRwaAPk2TwD8QkuY42Op+YxwuZX/8Aiqm/4V18ScDLar/3+f8A+Kr6UvhjWrTgffH8q2cc0AfKX/CuviR/f1X/AL/P/wDFUv8Awrn4kDkvqn4zP/8AFV9WY9qaQf8AJxQB8qfC7VNcj8fRWX2+QyvMIZfPdn6Fs9TX0sLfXf8An9tf+/VfNHw4JPxk6/8AMQf/ANCavq8UAY/2fXf+f61/79Gj7Pr2f+P20/79GtiigDlNCg1g2DeTeWyr5z5zH3zWn9n13/n+tf8Av0aPDn/IOk/6+JP51sUAY/2fXf8An+tf+/RqK5t9c+zPuvbUjHI8qt2obv8A49ZPpQBneHg40sByC3mNkgYrXrM0P/kHn/ro38606ACiiigAooooAKKKKACiiigAooooAKKKKACkPUUtIeooAx2/5GNv9xa2BWO3/Ixt/uLWwKAFpDS0hoAybX/kZr7/AK5JWvWPaHPia+P/AEyStigArk/iT/yIGqf9cq6yuT+JH/Ig6qP+mX9aAPKP2cv+Qnr3+6n86+gx0r58/Zy41LX+D91P519BDpQAtVr/AP485PpVmqt//wAeUn0oAy4NNtdW8Om0u4VkhlVlKmvnbx34E1TwBrw1fSGk+yF9yOg+6PQ19LaL/wAguPr1P86k1LTLXVbKS0u4VkhkGCpoA8/+GnxMtvFdilneOsWoIuGUnhvp3Ndt4hI/spx33r/MV83+OvAmqfD/AFxdW0hpPsu/cjoPuD0J/SvRvCXxMtvFnhwWd24i1BCgZc4Dc9qAPXo/9Wv0p9Rw8xIe20VJQAVj3f8AyMdh/wBc3rYrHvCP+EjsP+ub0AbFFFFABWL/AMzGv+41bVYv/Mxr/uNQBtUh6ilpD1FAGO3/ACMbf7i1sAj1rnL+4uIPERMFs0x2LwDirn9p6kf+YTJ/32KANikboayP7S1L/oEyf99ik/tLUs/8gmT/AL7FABb/API1Xn/Xun8zWwDXKQX9/wD8JDdSDTX3mFNyb+laY1PUv+gTJ/33QBs1zfj4j/hBNY5H/Huf5irf9pakeP7Jk/77FcP8TvGiaX4UvLK8tDFNdxGNFLg88flQBwv7OnHirxCf+ndf/Q6+i6+bPgC95b63rN3BZNOksIUHOP4s170NT1L/AKBT/wDfwUAbNQXZ/wBEk+lZ39pal/0CZP8AvsVFc6lqJtpM6VIOOu+gCzof/IPP/XRv507WNHstbsJbK/hWWCQYIYDgd8VlaRqGoJYYTTJHG9ud49avf2lqWRnSZMf74oA+afF3hDWPhn4iTUtNd/su/Mci9OecH6Zx+Fet+FfiPZ+MPCVzDK4j1COLEkbHk4IAP44rrNXim1vTpLG/0NpIpAQwLg4+lfN3irwVrvgbVG1Czhlisy2VZWyAPQ/T3oA+sbMj7HBzwY1/lU+R6ivlqP41eMIoo4wjEKoGfK60/wD4Xf4w/uP/AN+aAPqIkY6isfVyDqWk8j/Xn+VfOv8Awu/xh/cf/vzVe4+Mfiy4ntndW3RPlP3XU0AfVQI9aMj1FfLv/C7vGGM7G/79Uf8AC7fGJ/gf/v1QB9Qkj1FY98f+J1Z/74/lXzo3xx8XIMv8o9WjwK0PC/xa1/W/F2m21ynm75gpCgelAH0p1oPUU2NiyAsNrHqPSnHqKAMdv+Rjb/cWtgVjt/yMbf7i1sdOtAC0jdD9KMj1FISCOooAyIP+RqvP+vdP5mtkdKxrc/8AFVXnP/Lun8zWwCPWgBa5vx7/AMiJrH/Xuf5iujyPWuc8enPgXWAOv2c/zFAHjH7On/I1+IP+vdf/AEOvouvnT9nT/kavEByMfZ1/9Dr6KyPUUALUN3/x6yfSpcj1FQ3ZBtZOe1AFDRF3abgjP7xq8e+LHwpEiy69ocQV0+eeBehA7r3ySa9k0LjTzn/no3860HAbrg0AfP8A8K/ipLaTp4f1+Q8EJFM5wQRxg8cYAr2zWpEl0C6dHDKY+GB4PIrx74sfClZUl13QogJFBea3Tpj1Xvkk1ieBvilcW+nzeHddaQtt8uGVhznPQ8cYAoA+jLT/AI84P+ua/wAqnrLstX037FB/p9oP3a8ecvp9an/tbTv+ghaf9/l/xoAunpWNq/8AyEtJ/wCu5/lV3+1tNx/yELT/AL/L/jWPq+qaedQ0thfWxCzEkiVeBj60AdIKKpf2tpo/5iFr/wB/l/xo/tbTf+gha/8Af5f8aALhrHvv+Q1Z/wC+P5VcOrab/wBBC0/7/L/jWVcX9nPrdmIbqCQ7xwkgPagDou9HakBBPBFL2oAxtS/5DFp/uH+dbPasXUyBq9pkgfIf51seYn99fzoAdRTfMT++v500yx4zvGOvWgDLuD/xVNl/17vWxXEat400DTvFlul1qMaGOJ1cdcHNWR8SvCWP+QtF+VAHXZpDXJf8LK8Jf9BaL8qP+FleEv8AoLRflQBq6QCL/Vv+u4/9BFbA6V59pnxE8LRXupM+qRAPMCpx14rU/wCFleEv+gtF+VAHXZpkh/dt9DXKf8LK8Jf9BaL8qa/xJ8JlGA1aLJHpQBsaJ968/wCug/lWuK8/0j4ieFoWuvM1SJd0mRx1rTHxK8Jf9BaL8qAOuzUF5/x5z/8AXNv5VzH/AAsrwl/0FovyqK5+JHhNrSZRq0RJRgOPagDoNA/5Adn/ALn9a081wejfEXwrDo9rHJqsSuqYIx05q9/wsrwl/wBBaL8qAOuzWN4k/wCQYn/XeP8AnWV/wsrwl/0F4vyrN1v4geGbyzjhg1ON5DOmAB70Ad+KWq9vdwXMCTRSq0bjKsD1FTeYn99fzoAdWLrn37f/AH1/nWx5if31/OsbW3Uvb4YH516H3oAu6t/yCrn/AHKdpf8Ax4R/Sm6rzpVz/uUul/8AHhHQBdooooAzNf8A+QFef7n9auWn/HpB/wBc1/lVPXj/AMSK8HfZ/Wrlmc2cH/XNf5UAT0UUZoA+YP2gv+RyX/rlH/6DX0doX/Iv6b/16xf+givnL9oFSfGK4H/LKP8A9Br6N0L/AJF/Tf8Ar1i/9BFAGjSGlpD0oAx77/kNWf8Avj+VbPesa+/5DVn/AL4/lWx3oAWiikzQB8o/Df8A5LIf+wg//oTV9XivlD4cAj4xng/8hB+3+01fVwoAWiikyKAMjw5/yDpP+viT+dbFY/hz/kHP/wBd5P51sUAFQ3f/AB6yfSpqgu/+PWT6UAU9D/5B5/66N/OtOszQ/wDkHn/ro38606ACiiigAooooAKKKKACiiigAooooAKKKKACkPUUtIeooA5y+N7/AMJAfsixk7F++aubtd7RWv50jf8AIxt/uLWwKAMjdr3/ADytfzpN2vf887Qfia2aQ9KAOUtjrA1672x23m+Wm7njFam7Xf8Anna/nRa/8jNff9ckrWJGetAGQX1znMdr+ZrzD4teO5dL0W40iX7M89wu3bG2Svfmt74mfEy18KWJtrVlk1CQYVQfu/WvHvBHgbVfiFrT6tqrv9lzueRxy49AaAOm+Adhq8H9p31vAginVQrSdDz2r2zdr3/PK1P41B4OsINN8PxWtvGEjjZlAHsa3xQBkbte/wCeVr+dQXja2bV98dtjvg1v1Wv/APjzk+lAGHpT61/Z8flxWxXnqau7td6+Xa/nVjRf+QZH9TWhQBzep6dqeq2Mlnd2tlJDIuCCTXzt4x+Gmv8AhDUhqOnKzxF8p5HJWvq09KyPEP8AyCm443r/ADFAHzQniP4nBABb6rgDA+Rv8KX/AIST4nf8++q/98N/hX1TED5afSpKAPlH/hJPid/z76r/AN8N/hVe0+IHi/T/ABNaLqEk3nCQR+XPkYDED+tfWpBr5X+K3/JWF4H/AB9J/wChCgD6Nik15okPlWvIB61Ju17/AJ5Wv51p2/8AqI/90fyqWgDH3a9/zytPzNU7M3p8RD7WsYO1sbK6SsX/AJmNf9xqANmg9RS0h6igDGb/AJGNv9xe9bIrHb/kY2/3FrYFABQfWlpG6UAY9v8A8jTef9cErXzzWRBx4pvCen2dP5msfx3460/wfpDzSuHuHU+XEDyT/SgA8deObDwdpDzTOHuHU+XEOpP9OvevnnTNK1/4teKnuLlmWAt80rD5UXpx6446U7StJ174seKzc3TuLfcN8hHyovt646cV9MeGvDVh4Z0uKysYQgVRubuT3/WgDP8AAGh2ug+HRaW0e0pK6sxHJ59f1rrKyPDmf7PlJ73En862KAE5qG7/AOPWTPpU9Q3f/HrJ9KAKOhf8g444/eNWnWbof/IPP/XRv51p0AIQayvEUMcuiXXmxI6hMgMucVrVma//AMgK8/3P60ALZ6ZY/YoM2Nt/q1/5ZL6fSp/7MsP+fG2/79L/AIVJaf8AHpB/1zX+VT0AVP7MsP8Anxtv+/S/4Vkavp1iNQ0rFnbjM5yBEvPH0roj0rG1jjUtJ/6+D/KgC7/ZlgOtjbf9+l/wqtfRaPp9pJc3VvaRQxqWZmiXgD8KtX19badZyXV1MsUMa7mYntXzR8RPiJqHjjVf7E0VHNpvKBF/jPTNAEHxB8ZN401ZdG0OxiW2EhRVjjALHkZzXoHw6+G0fhi6sb2+AkvpHB5H3RitT4X/AAvt/Ddqmo6hGJdQkGeRwgru70f8Tu04x84/kaANmg9RS96Q9RQBzl9azXPiEiK6kgOxeUAq5/Y95nP9s3X5Ckb/AJGNv9xa2BQBkf2Pef8AQZu/yFIdIvOM6zdfkK2aRuh+lAHKRaZdN4iuohqlyrLChLjGTWn/AGReY/5DN3+Qog/5Gm9P/Tun8zWsSMZzxjrQBkHSrvGf7ausDqeK8Y+K3j1rOGTQdO1WW8llGJum1R1GCO/HStb4qfFddNjfRtDmD3kgIeaNs7B2II9+1cz8LvhbNrl4uv6/GTBvLrFIMtI2edw7DnNAGp8C/CGpxxXutSXUlrHdJ5S7MbiQ2TkGvZRo95/0Grv8hUXheFINI8mNQsaSuqqDwADit2gDH/se8/6DV3+QqK50i8W3c/2xdEAdCBW7UN3/AMesn0oA57SNLu5bIsurXKDe3AAq/wD2Pef9Bq7/ACFS6H/yDz/10b+dadAGK2j3hBB1e6YH1VTXj/xB+CzTRy6ro85abG6RJCFB9859Tn8K96rM1/8A5AV5/uf1oA+bovg18RHiRka1ClRgfah0/L6U/wD4Ux8SP71p/wCBS/4V9NWn/HpB/wBc1/lU9AHy9/wpn4kD+K1/8Cl/wqtc/CLx/BNBHK1tvmfbHi6HX8q+qj0rG1j/AJCWk/8AXc/yoA+dv+FMfEbJ+a19OboUh+DXxGHV7Qf9va/4V9QlgOpxXL+MvGWn+D9Ke6uZAZdp8uEHliPXv0oA+afEvgvxb4StBPqlzbIrAkIlyrNj/dxmn/DODW9V8a6c1vLKIo5QZJB0xg8ZxU0Nv4g+LfitnkMn2ffksclI15Hy+te/aB4UsPCcmn2VlEqsCC8mOWOOf1oA7WNSkaqSSQBkk8mpKTvS9qAOf1u1jutUtEkBxsPQ471Z/wCEdsPSX/v4abqXOsWn+6f51rkgAnOAKAMo+HtP25xKPfzDXlHxS8aaV4ctn03S2eS/fIJEp+Q9DWn8U/inB4dtpNN0txJfuCGZT9zsa8z+Hvw91Dxtqx1bVd4tA+9mfq5HIx9aAMrwd4A1jx1qBe4untUkQuJpBnd/X1ru/wDhnG7P/Mxr/wB+zXr9vp9tpet6faWcSxwx27hQPSuiFAHz9/wzjef9DGv/AH7NH/DOV4CD/wAJGv8A37NfQNIaAPnOz+AF1dXF3EPEAXyJNmfLPPGfWrn/AAzldnp4jX/v2a9n0f8A4/8AVv8AruP/AEEVtDpQB8/f8M43n/Qxr/37NI37Od2qk/8ACRrx/wBMzX0FTX/1bfQ0AfOtj+z/AHV2ZgPECp5bbT+7NW/+Gcrs/wDMyD/v2f8AGvatE+/e/wDXQfyrWFAHz/8A8M43n/Qxr/37NMl/Z2u4YXk/4SJTsUtjyzzivoSoLz/jzn/65t/KgD580/8AZ8u72whuB4gVA4zt8s8c1Z/4ZxvP+hjX/v2a9u0D/kB2f+5/WtOgD5+/4Zxu/wDoY1/79muD+Ifw6n8BvaCTU/tZmXdkKRt5xX17XgP7Rv8ArNM/65H/ANCoA774baNa3vw50K5n81pZLUFj5h5OTXVf8I7p/wDdl/7+GsX4V/8AJL/D3/XoP5muwoAyf+Ed0/8Auy/9/DWbqekWtpLbvEHzvXq5PeuorF1z79v/AL6/zoAt6uN2k3QPQpWZp/h+0ltEcyXIJ9JiK1NW/wCQVc/7lO0v/jwj+lAFP/hHLT/nrdf9/wA0f8I5af8APW6/7/mtiigDmNZ0C0h0i5k8y5+VO8xNWbbw7aNbRN5lyCyAnExHarevf8gK8/3P61ctDizg/wCua/yoAzf+EdtB/wAtbr/v+1cv401LQvB2lPdXdxcNLj93D9oOWIxx+ta/jXxpp3g7SZLq6cNLtPlxZ5c+n6185W9v4h+Lni5i7t5Iblj92JRkA/XoKAKOn2GqfEnxjGspkKSyBS552KCePwHFfUlj4WtLaxt7fz7hjFEqEiYjOBj+lZGleFNO8KQ6LY2MQUiY73zyxxyc/Wu3AoAyP+EctP8Anrdf9/zSf8I5af8APW6/7/mtmkNAHKXmhWqarbRiS5wzjP74+laf/CN2Y6SXQ/7bGi+/5DVn/vj+VbPegDG/4Ry0/wCet1/3/NH/AAjloMfvbrr/AM9zWzRQB8leALWO4+LfkMXC/bnXKsQfvN3r6cHh20/56XXp/rj6180/Df8A5LIf+wg//oTV9XigDH/4Ry0/563X/f8ANJ/wjdn3luv+/wCa2aKAOT0LQrWexd2kuBiZwAspHQ1qf8I5af8APW6/7/mjw5/yDpP+viT+dbFAGP8A8I5af89br/v+aiufD1otu7ebdcD/AJ7E1u1Dd/8AHrJ9KAM/w/GItLCLnAkbqc1rVmaH/wAg8/8AXRv51p0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFIeopaQ9RQBjt/yMbf7i1sCsdv8AkY2/3FrYFAC0jdKWkNAGRbHHiW+JPHlJXHfEz4lWvhSwNrasJdQlHyqv8Puay/iH8RofCOpX0duRJezRKqBTnafevM/A3gbVPiHrratqzSG1L7nkbq2D0H6UAHgbwNqnxC11tX1ZpDa797SN/H7A/lX01p2l2uk6alnZxLFDGuAq0aXpdtpFhFZ2kQjhjGAF4zV1/wDVt9KAMvw6c6WP+uj/AM61qyPDvGlD/ro/8616ACq1/wD8ecn0qzVa/wD+POT6UAQaL/yDI/qa0Kz9F/5Bkf1NaFABWT4h/wCQS3++n861qyfEP/IJYf7afzoA1I/9Wv0p1MiP7tfpT6ADtXyr8V/+SsD/AK+o/wCYr6pzxXyv8Vx/xdkf9fUf8xQB9SQ/6iL/AHB/KpaigObeL/cH8qloAKxf+ZjX/catqsX/AJmNf9xqANqkPUUtIeooAx2P/FSN/uLWx0rm9Qe6XxCfsybjsXirXn6v/wA+4/OgDbzTSR6jNY/navkD7P8A+PVyfjXx/L4P04yXK/6Q4OyPcMk0AJ408cWPg7UL64lO+d7ZRGndjx/Q14fpGk678WPFbXNy7i33fPIeQi84x64xUGmaV4g+KnimW6my4By7twFXJ6V9GeG9Bn8MaVHYafZKiIvLZGWPf9aANbw14asfDOlxWVjEECqNzdycc/rW2PrWN52rZz5H6ijztXyP9H/8eoAd4c/5B0n/AF3k/nWxkVyOhS6mLF/LhyvnPznHOa1PN1f/AJ4f+PUAbWRUF2R9lk+lZfnav/zw/wDHqiuZtW+zvug4x/eoAu6H/wAg8/8AXRv51p5FcrpEup/Yv3cORvbvWh5ur/8APD/x6gDayKzNe50O8A/uf1qDzdX/AOeH/j1UdZl1P+x7rzIcLs5+agDobT/jzg/65r/Kp8isC3m1YW0IWAYEa459qk87Vx/yw/8AHqANuue8S31tps2nXd3II4Y5izOew2mm32q3um2ct3dosUMQ3MzN6V86+PfHup+PdWTR7BG8lZSqIv8AE3SgC18QfiDqXjjVhomjJJ9k37Ai/wARxjP0r0/4YfC+28M2qajqKLLqEgzyOEHX+tZvw4+Gtx4ZgW/ubQS3si5ySPlr0zzdVycQYH+9QBrg+uOnrWRfH/id2f8Avj+VJ52r/wDPD/x6qTSXja7aC4QqN4/iz2oA6eg9RR3oPUUAY7f8jG3+4tbArGdgviNiSANi9a1xIn99fzoAfSN0pPMT++v50wzR4z5i4HU5FAGXCQPE96ScD7OnP4mvLfit8WF0xH0TQ5g96/Ek0bZ2DsQR39qofFH4lnSdWvNP0SRXuJ4BG8sbZ2d8jHGaxvhf8MZNdvP7e1/m2Ll1icjdI2edw9DnINADvhd8LZtduxr+vxlrcsXWKQfNIwPIYdgc8H2r6LhhWCJIo1CxoAqqOgApkAhgiSKMokaAKqhuABU3mR5++v50AZXhz/kGyf8AXd/51sVi+HJE/s6T51/18nf3rY8xP76/nQA6obv/AI9ZPpUnmJ/fX86hu5E+yyfOvT1oAqaH/wAg8/8AXRv51p1laHIg085df9Y3f3rT8xP76/nQA6szX/8AkBXn+5/WtHzE/vr+dZmvSIdCvMMv3PX3oAvWn/HpB/1zX+VT1WtJE+xwfOv+rXv7VP5if31/OgBx6VjawcalpP8A13P8q1fNj/vr1x1rhviJ4usfCtvZXsriSWN2KxKeenp260AafjLxnp/g/SXu7lw020mOEHlyOx7185RW/iD4teLGaQuYN3LHJRF5wR69hSRQ6/8AFnxYWldhCXyWJ+RF5xg9+wr6U8J+F9L8J6XHZ2SRqwGHk4yx7/rQAvhPwpp/hLS47OxhVWC/PJjlumf1zVm9yNasx/t/0rW8xAPvr+dZF66nWrPDA/OOh9qANvvRR3pCwHWgDG1Ij+1rU5wNjfzrz34p/FKHQLWTTNLkD38gIZ1P3OcEfrUPxk8dv4akt7Oz/wCPyWEnd/d/yDXmfw98Dz+MtW/tXV5CLVW3szHO89R+fNAE/wAO/h7qHjbVDq2rbxaBg7F/+Wh9vrzX03p+n22mWcdraRLHDGNqgCq1h/Zum2cdpalI4YlwqirX9oW3/PQUAUZuPE9kP+mD/wA62c1z899bnxNZtv8AlEDgmtX+0Lb/AJ6igC3kUhqr/aFt/wA9BR/aFsf+WooAoaP/AMf+rf8AXcf+gitntXP6RewLf6rmTrOCPyrX/tC2/wCegoAtZFMk/wBW30NV/wC0Lb/noKR9QtjGw8wdDQBU0T715/10H8q1gRWDo17ArXeZAP3n9K1BqFt/z1FAFvIqC8/485/+ubfyqP8AtC2/56CorrULY2c4Eg/1bfyoAZoH/IDs/wDc/rWnkViaHfW6aJaBpACEwR+NaH9oW3/PQUAW8ivAf2jP9Zpn/XI/+hV7n/aFt/z0FeD/ALQ9xHNLpvlndiI5/wC+qAPU/hWf+LX+Hv8Ar1H8zXYZFcP8L72CP4ZaAjSKGW1AIz7mut/tC2/56CgC3msXXPv2/wDvr/Or/wDaFt/z0FZWsXcMsluqOD868fjQBpat/wAgq5/3Kdpf/HhH9Kbq3Gk3P+5UemXMK2KAyAEUAaVFQ/a4P+eq0faoP+eooApa+R/YV5/uf1rD8VeNdP8AB3h1bu6dWl8keXFnljjpUfxD8Vaf4f8ACt1LPIpklQrEmcFm9BXzraQ678VfE6+fKRCCAXI+SNBkA49egoAmt4PEPxc8XN5jt5Iblj9yJRkA/XoOK+lvCvhWw8J6THY2MQBUfO/diepz9ai8K+HtJ8J6THY2OwFR8755Y9zn61v/AGqADAkFAGbq/GpaT/13P8q2RWFq1xEdR0ohxgTnP5VrC7g/56rQBPSGovtcH/PVaQ3UH/PRaAM2+/5DVn/vj+VbPesG9uITrNoRIMBx/Ktj7VBn/WrQBNRUP2uD/nqtBu4P+eq0AfK3w3/5LIf+wg//AKE1fV4r5O+HTqnxgLswC/b3OT/vNX1V9rg/56rQBPRUP2qD/nqtH2qD/nqtAGb4c/5B0n/XxJ/OtisLw9cwrp7gyKD57n9a1/tcH/PVaAJqhu/+PWT6Ufa4P+eq1Dd3UBtZP3i9KAIND/5B5/66N/OtOsvQSDp2QcjzGrUoAKKKKACiiigAooooAKKKKACiiigAooooAKQ9RS0h6igDm7+K6k8QEWzKp2L1NW/smq8/vY/zpW/5GNv9xa2BQBjfY9V/56x/nTXtdV2MfOQHHY1uUyT/AFbfSgD4/wBF0qbxp8SHtL+YyM1yyMxPOAT+lfTumaFd6TYx2ln5EUMYwFXivnn4Yf8AJXH/AOvyT/0I19VL/U0AY/2TVf8AnrH+dI9pquxv3sfT1rbpr/cb6UAcrodtqTafmOWMLvbv71pfZNV/56x/nT/Dn/IL/wC2r/zrXoAxfsmq/wDPWP8AOoLy01QWr7pY8fWuhqtf/wDHnJ9KAMHSrXUzYJslQLk96u/ZNV/56x/nVrRf+QZH9TWhQBii01UH/Wx/nWdrVvqaaaTJLHt3r/OurrJ8Q/8AIJb/AH0/nQBDHaar5a4lj6DvTvsmqjrNGPxrXQ4jGfSsTxP4nsPC+lyXt7IowuVUnlj7UAZHibXZvC+lSXt9dwjAOxC3J+lfOIl1L4i/EBbmBP3jTCT2ABB/pV3UtR134s+KhBDu+zh+B2Ra9y8I+CLPwdd6dBAuZzC/mOepNAHTxWerLEoMsfAx3p/2TVv+esf51siloAxfsmrf89o/zNVLKO6j8QgXLq3ytjFdLWL/AMzGv+41AGzQeopaQ9RQBjt/yMbdfuLWuDishj/xUTf7inmsTx947sfBulSPIyvdOp8uLPOf8mgA8e+O7DwdpUkkrB7l1PlxZ5Jx/wDXr5/0bRte+K/iprm6dxBvG+Rh8qr7euBjpSaLomvfFbxYbu8eQW4cGSVhwq56D1/D1r6a8N+HbDwzpMVjYwiNEUbiOpOBn9aAMrwp4esPDOp3FhYxBEW3jye5Pc/ia68VjW//ACNN56+RH/WtodKACkxzS0UAY/hv/kGyZ/57yfzrYrH8Of8AIOk/6+JP51sUAFQXf/HrJ9PWp6hu/wDj1k+lAFLQudOOf+ejVp1maH/yDz/10b+dadABWXr/APyArzr9z+orUrM18/8AEju/9z+ooAuWp/0OH/rmv8qjv7+206zkurqZYoUBLMxqCbULXTdHW7u5RHDHEpLE+1fNvxB8f6n471kaNo6P9l3lFjX+I9M0AHxA+IOp+O9XGi6Mr/ZS5QRr/Eema77wJ8NIPC0mk316BJfTTc57ArmtT4Y/DC18MWaX99GJdRcZJI+6OtdxqwxqGkjGP354/CgDZApaBRQAhrGvs/23adMbx/Ktk1j33/Ias/8AfH8qANjvQeope9IeooA52+tDd+IdolePCLytXDoh5P26b8hTWP8AxUbf7i1rFhgnPA70AZLaL8p/0+b68V438UPiCukl9J0S/knu24eRMHbxxjFaPxU+K66bG+i6FMHvJBh5o2zsHYgj+Vcz8LvhbNrl0Nf19CbfeXEUg+aRh13DsDnr7UAVPhj8NJPEepSahrhkSNf3ojYAmQ55yD0zng19BQ+H/JhWJLyZUQBVUAYAHSksYkg8RXMMa7US2jVVB4AHStwdKAMj+w2/5/pvyFH9iHGPts35CteigDldC0kz2Mjfa5V/fMMADsa0/wCwz/z/AE35Ck8Of8g6T/r4k/nWxQBkf2Gf+f6b8hUVzopW2kP22Y4HoK3Khu/+PWT6UAc9o+jmSyLfbJR87dh61of2Gf8An+m/IVJof/IPP/XRv51p0AZH9hn/AJ/ZvyFUdZ0gxaRdSfbJThOmBXS1ma//AMgK8/3P60AVrbRma1hb7ZKMopxgccVIdGx1vpvyFaFqwFnBk4/dr1+lc74y8Z6f4P0qS7uXDTbSY4QeXI7HvQBmeMtZsfB+kSXVzqUhmwfLhGMsfp1r57toNb+J3iuOOWSXypZCoc5KqOenY9BVqG38Q/FrxYWcv5G7lzkpGvOCPXtXv+leFNP8JxaLY2UKBhMd8mOWOOT+dAEvhrwBZeGtPW2spnjP8TBRknv+tbn9iH/n9m/IVrCloAxzoZ/5/pvyFUXsDaa5anz3ky44Ye1dKax77/kNWf8Avj+VAGx3oI5zS96D0oA8c+MngRvEs0F7aDF4kR+XruAP/wCqvOfhz4zbwtqh0fXIWFuWK85G1un9a+j9SGdYtOP4Dn868++KXwrg8Q27appsYjv0+ZwvG/1NAHodpY6Xe2yXEGJInGVZWzU/9i2J/wCWR/OvnT4bfEi98I6j/YmtiT7JnZ8+cxngfzr6Ts7uC9tY7i3kEkTjKsDmgDDn0q0HiW0j8v5DA5xmtX+xbH/nkfzqtOc+KbP/AK93rZoAz/7Fsf8AnkfzpDotj/zyP51o0hoA5vS9LtJL7VFZPlWcAc+1av8AYtj/AM8j+dVdH/4/9W/67j/0EVtDpQBn/wBi2P8AzyP502TRbHy2/dHp61pU1/8AVt9DQBzuj6TaSNdb4ydsnrWp/Ytj/wA8j+dQaJ9+9/66D+VawoAof2LY/wDPI/nUN1o9ktpMwiORG2OfataoLz/jzn/65t/KgDG0TSLKTRrVzESSnPNaH9i2P/PI/nTNA/5Adn/uf1rToAz/AOxbH/nkfzrwn9oSygtJNN8lcZiPU/7VfQ1eA/tG/wCs0z/rkf8A0KgD0H4Y6VaTfDXQJHjJZrUEnPua63+xbH/nkfzrn/hX/wAkv8Pf9eg/ma7CgDP/ALFsf+eR/OsrVdOtraa3aKMg715z710tYuufft/99f50AXNWAOk3IP8AcrO0/RrV7RXPm5PPD47Vo6t/yCrn/cp2l/8AHhH9KAIP7CtPWX/v4aP7CtPWX/v4a06KAPNfif4Cg17wtK0LuJ7QNJFubOTjFeG+DfEVx4C8QG11W3dbdyBIBwdvPIP5V9U68M6Jee8eP1rhPiB8NrXxZocdzboseoxwhlccbiF4oA6zS4NJ1jT4r6znkkgkXIZZCQO+KvDRLM9DN/32a+aPBXjbVfht4gfTNVSQ2m4h427cnkfXivpvS9Us9X0+K9s5llgkGQw5Az2oAx9T0i1jv9NVTL88/J3n0rV/sO0z1l/77qHViDqOkkf89z/KtkUAZn9hWnrL/wB/DSHQrPHWb/v4a1KQ0AcveaRbJq9qimTBcZ+c56VqjQbMcZmx/v1Fff8AIas/98fyrZ70AZn9hWnrL/38NJ/YVpkHM3H/AE0rUooA+S/h/bxz/FowNu2/bnA+b/aavqAaFac8yj/gdfMnw3/5LIf+wg//AKE1fV4oAzP7CtPWX/v4aT+wrQHrN/38rUooA5jQdItprB2cy8TOBh/etT+wrT1l/wC/hqLw5/yDpP8Ar4k/nWxQBmf2Faesv/fw1Fc6JaLbSEGXgf8APQ1sVDd/8esn0oAz/D6bNMCjOBI3U5rWrM0P/kHn/ro38606ACiiigAooooAKKKKACiiigAooooAKKKKACkPUUtIeooAx2/5GNv9xa2BWOx/4qNv9xa2BQAtMk/1bfSn5pkpHlt9KAPlb4Yf8lcf/r8k/wDQjX1Uv9TXyZ8P9Rs9L+KclzfXEcEK3chLueANxr6R/wCE+8JqOdesh/20oA6Smv8Acb6Vzv8AwsDwl/0MFj/38pr/ABA8JbG/4qCx6f8APSgC/wCHP+QX/wBtX/nWvXN+D9WsNS0o/YrqOfEjE7DnjNdJQAVWv/8Ajzk+lWaq35/0OT6UAQ6L/wAgyP6mtCs/Rf8AkGR/U1oUAFZHiL/kEN/vp/OtY1ynj7XbTQvDM9xcSKGXDKmeWx6UAXPEniiw8L6Q15eyqMJlVJ5Y+n61806lqWvfFnxSIIS32fd8o7ItNv8AUNe+K/iZbeHeIAcKD91V/wAa+ivA/gex8HaUkECA3GPnlPU0AHgbwPY+DtKjggTNxj55D1Na13/yMVj/ANc3rXH+eayLw/8AFR2P/XN6ANiiiigArF/5mNf9xq2Saxv+ZjXkfcagDapCRmlppHP4UAec+PvHNn4Pu5p3IkuDGBHF3JrwvSLHUvih4ta41G+RItwaSSSQDaueMAn3xXc/Er4ba94k8dXFxaP5kbqCoJ+6OeB+dc4nwO8WxZ8sFc/3ZcUAfQXhzT9C8M6VFYWM9rGiL82JVyx7k8+tbJ1Kxx/x+23/AH9X/Gvmb/hSXjH++/8A3+o/4Ul4y/vP/wB/qAPoGDULL/hKLxvtlvgwIM+aPX61sDUrD/n9tv8Av6v+NfLyfB3xc2oS2qlvMRAzHzexqx/wpLxl/ff/AL/UAfTP9p2H/P7bf9/V/wAaP7Tsf+f22/7+r/jXzN/wpLxj/ff/AL/Uf8KT8YAfff8A7/UAfQ/hi5gl02QxzI/7+Q/Kc963MjNfIPh7xTr/AMO9ce0mlljg37ZFIyCB6V9JaFeSa/pkV9Za2zo67iNoyvrQB1tQ3f8Ax6yfSsz+zdS/6Cz/APfAqO503UhbuW1RyMdNooAtaH/yDz/10b+dadcxpFhqElkSmpMi7242+9X/AOzNT/6Cz/8AfAoA2M1jeKbyGy8N3808ioixHljS/wBmanj/AJCz/wDfAryL49yanpvh7TkOoNJHczujLjGRtzQBxXjbx9qfjq9h0bR0kFqNqBF/iOMZr1r4Y/DG38K2i316gl1CQZyf4R1rnfg74ChGhJrsdzi5lZkB2524PH869ZGman/0FXH/AAEUAa4BAxisnV/+QlpP/Xc/yo/s3U/+gs//AHwKzNSsL9L7TQ+pO7NP8p2jjigDqhS1j/2bqf8A0FW/75o/szU/+gs//fAoA1z0rGvj/wATqz/3x/Knf2bqf/QWf/vgVRa1u4NbtDcXjT5ccFQB0oA6Wg9RRSNQBjSEDxG2Tj5F5rzD4q/FcaZG+i6HLuvH4eZD/q/Qgjgn2qp8W/iLJoeq3Gl6XIBeFFDyA/6vg9PxHSvKPBd34Yj1xtQ8WTXEiqfMEaQ7/MbPIPPufyoA7v4X/CyfXLsa9r6MbcsXWKQfNIwPIIPY54PtX0VDCsMKxRoERFCqo6AAcV5lD8dfAdvEkUMt4saAKqrakAAVJ/wv3wOf+W99/wCAp/xoA7eAf8VTef8AXun8zWyK8fi+N/gxNcuLsz3vlPEqg/Zj1H41of8AC/fA/wDz3vv/AAFP+NAHqFFeX/8AC/fA/wDz3vv/AAFP+NIfj54HOMT33/gKf8aAO48OMP7Ofn/l4k/nWzXBeAvHGg6/aSw2d0VkWRn2zfISCeOCa7Vby1PS4iP/AAMUAWKhu/8Aj1k+lJ9rt/8An4i/77FQ3V3bG2kAuIicf3xQBDof/IPP/XRv51p1j6LdW62BDTxA+Y3Vx61o/bLb/n4h/wC+xQBPWZr5/wCJHec/8s/61c+2W3/PzF/32K5Tx/4q0/QfC91LLMrSSoViVGB3NxxQA7xP400/wh4dS8uHDTeSDHDnlztBwe9fPEVt4g+LXiss5cwbuWOSiLzgj19Kr2ya58U/EyLcTbIFx8zt8sagYGM9egr6X8J+HdG8JaVHZ2TW6sB88m4ZY9+/rQBN4T8J6d4T0qOzsYlVgPnkxyx7/rVnVxjUtJ/67n+VaX2u2x/x8Rf99isjVrm3bUdLIniIWc5IcccUAbwoqAXlt/z8Rf8AfYo+2W3/AD8Q/wDfYoAmNY99/wAhqz/3x/KtI3dsf+XiH/vsVkXU0UmtWnlyI+HH3Wz2oA3u9FHeg9KAMbUv+Qxaf7h/nWuRmsDWrqO01W0kk3Y2HkAnvVr/AISCw7tIf+2Z/wAKAPPPij8LIPEMD6npsSx3yDc4Uff9TXnnw3+I974Q1IaJrYcWoPl4fOY24H86+hj4h0/1lx/1zNeU/FDwZpPiSBtR0xXjv1GWVYiN/c0AenRXcF7run3NvKJInt3KkHNbwINfJPhH4jaz4IvBHdWT3SwoYlikypWu1H7R10P+ZcX/AL+GgD6CpDXz/wD8NHXf/QuL/wB/DSf8NHXXfw4P+/hoA9o0f/j/ANV95x/KtodK+cbP4/3NrcXc3/CPqxnk348w8cVc/wCGjbv/AKFtf+/hoA+gqbJ/q2+leAf8NHXf/QuL/wB/DSN+0ddFSP8AhHF/7+GgD2rRPv3n/XStcV86WP7QNzZmY/8ACPq29s/6w8Va/wCGjrsf8y4v/fw0AfQVQXn/AB5z/wDXNv5V4L/w0dd/9C4v/fw1HL+0RdzwvF/wjqjepXPmHuKAPctA/wCQHZ/7n9a06+ddP/aDurKwhth4eVvLXGfMPNWf+Gjrv/oXF/7+GgD6B6CvAf2jOZNN/wCuR/8AQqZ/w0bdnj/hHF54/wBYa4P4h/EWfx8bYvpn2TyFxwxOec0AfRvwr/5Jf4e/69R/M12Fef8Aw11i1tPhzoUEwlV0tgGHlng5PtXVf8JDp/rL/wB+zQBrVi659+3/AN9f51J/wkOn+sv/AH7NZmpataXc9ukRfO9eqEd6ANvVv+QVc/7lO0v/AI8I/pTdXIGk3JPACVR07W9NjskV7uNWHUHNAG5RWb/b+l/8/wBF+tJ/b+l/8/0X60AGv/8AIDu/9z+oq3ag/Y4P+ua/yrF1vW9Nl0a6RLyNmKcCrVtrulrawq17GCEXPX0oA5D4l/DW08W2D3Vsix6jGpZXH8RxXjfgrxtqvw38QPpmqpIbQth0btyeR9eK+mG17S/+f2L8686+JXhLQfF1g9zbXUEeoxjKuM/Me1AHYNqtnrB0S9s50lhkmyCDn+HkfhXTg5r5I8F+Mb7wV4it7TUXc2MMxZlZuAM4yB+FfUNt4j0me3jmW9jCyKHGT2NAGvSGs3+39L/5/ov1pTr2lH/l+i/OgCC+/wCQ1Z/74/lWz3rmL3WdObV7Vxdx7VcZP4Vqf29pXX7dF+tAGnRWZ/b+l/8AP9F+tH9v6V/z/RdfegD5j+G//JZD/wBhB/8A0Jq+rxXyX8PrmGD4u+dLIqx/b3O49Mbmr6i/t7SgcfbYvzoA0qKzP7e0r/n+i/M0f29pf/P7F+GaAIvDn/IOk/6+JP51sVzOg6zp0Ng6yXcanznOCe2a1P7f0v8A5/ov1oA0qhu/+PWT6VT/ALf0v/n+i/WobrXdLa2kAvYiSOnNAEuh/wDIPP8A10b+dadZOgOsmmbkYFTI2DWtQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUnelpD1FAHOX1kLzxCVMkifIv3DjNXBoMf/P3df990jf8AIxt/uLWwKAMn+wI/+fu6/wC/hpreH4yCPtd1gjH+srZpDQB87XnwJnvPEN7Fb3qKo/eZkJJ+Y5pf+Gdb7/oIQY+pr3K1/wCRmvv+uSVr0AfO3/DOt9/0EIPzP+FNf9ne+VGP9oQcAnqf8K+i6ZIP3bfQ0AfHljea38PNe8uWSdLXeVO08MAe1fSPha60vxRpMd7ZahcEsMugl5U1S1XwTYeMPCrQ3EYE+99kg+8DmvCrC/174S+KTFLv+z7sEfwutAH1B/YMf/P3df8Afw1XvdCjW1dhdXJwOhko8LeKtP8AFOlR3tlIuSPnjzkqa1b4/wChyfSgDE0nRI5NPRvtVyMk8B8Ve/sCP/n7uv8Av4an0X/kGR/U1oUAZH9gR/8AP3df9/TXh3x/tTZPo0K3M7JNu3B3zX0RXz/+0d/x96D9H/nQB1vwu8FabB4StL+FpkuJ1Jdlb3/+tXdjQIx/y93X/fysj4Z/8iFpv+4f5muvoAyP7Bj/AOfu7/7+1l3eixjXLSP7VcndG3Pmc11dY93/AMjHYf8AXN6AAaBGP+Xu6/7+Uv8AYMf/AD93f/fyteigDI/sGP8A5/Lv/v7VKzshZ+IgBNK+Vb77ZrpKxf8AmY1/3GoA2aD1FLSHqKAMZs/8JI3+4tbIrHb/AJGNv9xa2BQAc0HilpG6H6UAZFuf+KovP+uCVr81jwf8jVef9e6fzNbI6UAJSEHinUUAeX698PrLxl4bmBjCXqTSGOQDvn/CvHPDniPXPhX4nayvlk+yhiJEPRh6j8q+mvDv/IPf/rvJ/OsD4g/D6y8ZaY4KKl6oJjkA70AdDoOvWPiDTY76ymV0ZckA8r6g1oXZH2WT6V8p+HfEWufCrxO9leq5tQ2JFI4Yeor6V0vxBYeINDF7ZTK6umSoPKnjIx+NAFvQ/wDkHn/ro38606zNC408/wDXRv51p5oAK8Q/aS/5AGh/9fb/APoNe35rw/8AaR/5AGh/9fT/APoNAHYfBv8A5J5a/wDXZ/6V6BXAfBv/AJJ5bf8AXV/6V39AAelY2r/8hLSf+u5/lWyelY2r/wDIS0n/AK7n+VAGyKKBRQAhrHvv+Q1Z/wC+P5VsGse+/wCQ1Z/74/lQBs96a30zTu9IeooA8r8VfCvSPFHjGa6nleF5EUuEUHJ5yf5VV/4Z98P9r6f/AL9j/GvRm/5GNv8AcWtgUAeQf8M++H/+f2b/AL9L/jQf2fvD4B/02b/v0v8AjXsFI3Q/SgDxGH4E6E2tT2hvJtscQYHyx3P1rQ/4Z+0Aj/j9m/79ivRoP+RqvP8Ar3T+ZrZHSgDx/wD4Z98P/wDP7N/36X/Gg/s/aAOl9Nn/AK5D/GvYKQ9aAPj3W/DmreAtYF/ah5LNZmVHBxux2bFe7/D7xN4d8ZaagNrbxX8a7ZIyOuMDIzya6CHQrLxB4budPv4VkhkmkHIyRzXzz4l8M658LvEqX9i7m237o3Xpj0PpigD6fGh6Vn/jxhz7A1Fc6Hpa20hFlHkDtmuc+H3xDsfGOmoGkWO+QYkjJxnGORnrnNdndMv2aUZGcdKAMXR9F02Wx3PaRsd7c81of2Fpf/PlF+tJoX/IPP8A10atOgDN/sLS/wDnyi/WvGP2h9PtLLQtFa3t0jLXLgkd/lr3mvEP2kv+QBof/X2//oNAG58INA0p/AsFy1hCZnkcM+OTivQf7B0v/nxi/WuR+Df/ACTy1/67P/SvQKAM3+wtL/58o/1rK1XRtPjv9MVLSIBp+Rg88V056Vjav/yEtJ/67n+VAEw0HS+f9Ci/Wl/sLS/+fKL9a0hRQBmHQdLwf9Cj/Ws+bTrS01y0NvAkZLjJX6V0RrHvv+Q1Z/74/lQBsd6U9KO9HagDF1MBtYtMgH5D1+ta4iT+4v5Vk6l/yGLT/cP862e1AEflp/dX8hQY0/uKfwFSUUAcRq3g3QdS8V273WnROZYnd+2T61a/4Vr4U/6BMf51q3H/ACNFl/17vWxQByP/AArTwp/0CYvzNB+GvhP/AKBMX5muupDQB5/pnw98Ly32pK+lxkRzBV56DFan/CtfCh/5hMf51p6P/wAf+rf9dx/6CK2h0oA5H/hWnhT/AKBMX5mkf4a+FAjf8SmLp6muvpr/AOrb6GgDgdI+HfheU3QfSoztkwOa0/8AhWvhQ/8AMJi/OtbRPv3v/XQfyrWFAHJf8K08Kf8AQJi/M1Fc/DfwqlrKw0qMEISDn2rs6gvP+POf/rm38qAOJ0b4deF5tHtpH0qMuycnPXmr/wDwrTwp/wBAmL8zW3oH/IDs/wDc/rWnQByP/CtPCn/QJi/M1ma58PfDFrZRSRaVGpE6DIPbPNeg1jeJP+QYn/XeP+dAF+1sre0t0ghhRIkGFUAcVN5af3F/IU8dKWgCPy0/uL+QrI1tVVrf5R99e3vW3WLrn37f/fX+dAFzVv8AkE3Pf5Ki0y0tzYxk28JJ7+WKl1b/AJBVz/uU7S/+PCP6UAS/ZLf/AJ94v++BR9jtv+feL/vgVPRQBj65a26aLdsLeIEJ12D1q3aWlv8AZIMwRE7F52D0qHX/APkBXn+5/Wrlp/x6Qf8AXNf5UAH2S3/594v++BSGzt+f9Hi/74FWKKAPl34+QwweMV8qJEzGmQqgDpmvovQ7S3Ogad+4jP8AosXJQf3RXzv+0F/yOS/9co//AEGvo7Qv+Rf03/r1i/8AQRQBa+yW/wDz7xf98Ck+yW3/AD7xf9+xVikNAGDfWsH9s2gEMQBccbB6VsfZLf8A59ov++BWbff8hqz/AN8fyrZ70AQfZLf/AJ94v++BSfZLf/n2i/74FWKKAPk/4eKr/F5k2qR9ucYPI+81fVAtLf8A59ohz/cFfLHw3/5LIf8AsIP/AOhNX1eKAIPsdt/z7xf98Ck+x2//AD7w/wDfAqxRQBg+HraB9PdmhjJ89xygPetf7Jb/APPvF/3wKzvDn/IOk/6+JP51sUAQfZLf/n3i/wC+BUN1aW/2WT/R4en9wVdqG7/49ZPpQBR0EAadgDAEjVqVmaH/AMg8/wDXRv51p0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFIeopaQ9RQBjt/wAjG3+4tbArCnuYbfxETLIqDYvU1pDVLH/n5j/OgC5SGqv9qWP/AD8x/nSHU7I/8vMf50AVLX/kZr7/AK5JWvXPWuoWf/CR3r/aE2tEmDmtb+1LH/n5j/OgC3TZP9W30qt/alj/AM/Mf5019Usdjf6TH09aAKvh3/kFj/rq/wDOsrxv4IsPGGkyW88YFwATHJ3Bq54f1C0j0za9wgPmOevvWodTsuP9Jj/OgD5Usb7XvhN4pMUu/wCzltvP3XWvpHRfFOn+KfD322ylXJXLpuGVNZ3jfw5oXjDSZLeeSLzwD5cgPINfO1nqOtfDLxG8Hms1vnacH5XH0oA+sNF/5Bkf1NaFeS6N8aPDkemRCbesmMsMjrV//hdvhj+83/fQoA9Lr5//AGj/APj70H6P/Ou1/wCF2+F/7zf99CvJfjH400zxfc6S2nE/uNwfJz1PFAHu/wAM/wDkQdM/3D/M111cP8NtRtI/Aemq9wisFPBPvXW/2pY/8/Mf50AW6x7v/kY7D/rm9Xf7Usf+fmP86ybvUbM+ILJxcJtEbgmgDoaKqf2pY/8APzH+dH9qWP8Az8x/nQBbrF/5mNf9xqvnVLH/AJ+Y/wA6y4riG48RKYpA42N0oA36Q9RS0negDGd1XxG25gPkXqa1vOiH/LRPzrAvrJLzxCVc4wi1d/sG2Pc/lQBo+fF/z0T/AL6oM0RHEif99Cs7+wLb1NJ/YNuB1NAEdvJH/wAJReHeuPITv7mtfzov+eif99VzEGjwnxHdxE8CFDnHWtT+wLb1NAGl58X/AD0T/vql8+LP+sT86zf7AtvU0f2Db9MmgCLw7LGNOkzIo/fv1PvWsZov+eif99VzWg6NBNYOWPSZ1GB71qf2BbepoA5vx/4F03xlpbgmJLxVJjkBHBrwHQfEOtfDHxHJYXZY227bInUMueoNfUP9gW/qa5Xxn8MNJ8Sae5kPkzoCVlVeRQAzw/8AEfw42kRNJeBGYlivpnkitb/hZHhn/n//AErx+y+AU15AZV1SQDeV+6O341Y/4Z2n/wCgrJ/3ytAHrH/CyPDP/P8A/pXkvx38UaT4g0XSItOuPNeK4ZmwO22nf8M7T/8AQVk/75Wq99+z/LZ2U1w2qORGufurQB6b8HZY1+HtsGdQfNfqfpXeefF/z0T/AL6rlfC/gu10XQbe0WVpBjfkjHJArZ/sC29TQBomeLH+sT/vqsnV5YzqOlEOpxOe/tUv9gW3qay9T0aCK/01VP35/T2oA6UTxf8APRP++qPPi/56J/31Wb/YFt2Jx6Uv9gW3qaANEzRf89E/76FZN66trVntYH5x0PtUn9g2w7mqD6dFZ67ashJy4/lQB0tB6iig9RQBjMQPEh/3FrZFc9eXkVp4iLSb8bF6Lmr39uWY7S/9+6ANSkbkVmf27Z+k3/fuj+3bP0m/790ARW4/4qq8/wCvdP5mtkVy9vq9sPEd1LiTY0KAfu+TWp/btn6Tf9+6ANSisv8At2z9Jv8Av3Sf25Z56S/9+6AI/DnOny/9d3/nUmu6FY+INMlsL+FZIZF28jJFZmg6vaw2EisJcmdzxH71qf25Zekv/fs0AfMPibwzrnwt8SJqFgzm237o3Xoe+0/SvcfA/wAQrLxloZUyLHfou2SNj15Azz1zmtrXRoviDTJbG/geSKQbeYs4r5p8QaLqnw88RC802SX7KW3K4GPfB/PFAH1ToR/4l5/66Nx+Nama8x+HPxH0vW9GWGaQpfISXjAzkZAyO5ruv7cs/wC7Nkf9MzQBqV4f+0j/AMgDQ/8Ar6f/ANBr1z+3LP8Auzf9+zXjH7Q2oQXug6KsIcFblydyY/hoA7z4N/8AJPLX/rq/9K7+vMfhHq1tb+AbaOQSZEr9Fz6V3X9u2fpN/wB+6ANQ9KxtY/5COk/9dz/Kpf7ds/Sb/v3WXqmr2sl/pbAS4Wck/J7UAdOKWsv+3LPGcS/9+zR/btn6Tf8AfugDTNY99/yGrPg/fH8qk/t2zx0l/wC/dUJb+C71y0EQfIcdVx2oA6TvRSd6U9KAMbUj/wATi0/3D/Otmue12aSHU7QxxhzsPB+tTjVL7H/Hkv5mgDaozWL/AGpff8+S/wDfRpf7Uvv+fNf++jQAXBA8UWWf+fd62Mg965SfUbs+IbV/so3eS+BuPrWmNTvv+fNf++jQBs0hrG/tS+/58l/76NB1S+/581/76NABo/8Ax/6t/wBdx/KtkdK5TS9Qu0vdSYWqktMMjceOK0v7Uvv+fJf++jQBtUyQjy257Gsj+1L7/nyX/vo0kmqX3lt/oa9D/EaAH6J968/66D+Va4rlNJ1G8Rrrbag5k5+Y+laX9q3v/Pmv/fRoA2qgvD/oc/8A1zb+VZn9qX3/AD5L/wB9Go7nUr1rWYGzUAo3O4+lAFvQSP7DtOf4P61p1zGj6jeJpFsqWgZQnB3Grv8Aal9/z5L/AN9GgDazWN4kP/EtT/rvH/Oj+1L7/nyX/vo1l65qN29kge1VQJ0Odx9aAOsBHrS1jDVL4cfY144+9Sf2pff8+S/99GgDazWLrn3rf/fX+dH9qX3/AD5L/wB9Gs7Ur66mntxLbhBvXkMfWgDd1b/kFXP+5S6X/wAeEdN1c40i5P8AsVmafrJjtEX7JKcdwRQB0VFY/wDbp/58pvzFH9un/nym/MUAS69/yArz/c/rVy0/484P+ua/yrA1nWfN0e6Q2koBTrkVYtdaKWsK/Y5ThByCPSgDepM1kf26f+fKb8xSHXSOfsU3HuKAPnn9oHnxkv8A1yj/APQa+jtBIPh/TcH/AJdYv/QRXzZ8dZZLnxUkrQPGpjReeckLVyz+PupWljBbC0+WGNYx8q9AMUAfTFIa+bv+GhtS/wCfQf8AfK0f8NC6l/z5j/vlaAPeL4/8Tuz/AN8fyrZr5kl+PGpTXkM/2ZQUbONi1b/4aG1PGTZjp/dWgD6RpCQK+bv+GhtS/wCfMf8AfK0D9oXU+otV+hRaAML4cAj4yHI/5iD/APoTV9XV8j/DC8eb4kw6gIWcvcGZwB0yWNfUP9uEcNZS5HoRQBsUVj/26f8Anym/MUf24T/y5TdfUUAHhw506T/r4k/nWxXKaFrBisHH2WVszP0I45rT/t0/8+U35igDYqG7/wCPWT6Vm/26f+fKb8xUVzre+3dfscoyPUUAWtD/AOQef+ujfzrTrI8Ovv0vdgjMjcGtegAooooAKKKKACiiigAooooAKKKKACiiigApD1FLSHqKAMC5tY7nxEwlXI2LitH+yLT/AJ51Vb/kY2/3FrYFAFH+yLT/AJ50f2TaD/lnV+kNAHO22mWx8QXsZTgRpitQaRaD+Cq9r/yM19/1yStegCh/ZFp/zzpH0m1CMRHzg1oU1/uN9KAOe0DTLaXTAzJk+Yw/WtT+yLT/AJ51X8Of8gv/ALav/OtegCh/ZFp/zz/Wuc8W+A9F8Qacy3dudyD5WU4NdlVa/wD+POT6UAeM2HwE0O7tFlaaYZJx89Wf+GetB/57z/8Afw/4V6tov/IMj+prQoA8Z/4Z60H/AJ7z/wDfz/61VNQ+BGh6fbC5WaY7XXjzD6/SvcayfEP/ACCW/wB9P50ARaV4a0/TNNhtIIz5aKANxzVz+yLT/nnV2P8A1a/SnUAUDpFpj/V1lXem241+yQL8pRjXSVj3f/Ix2H/XN6ALP9kWn/POj+yLT/nnV+igCh/ZFp/zzrOt7aK28RKI1wNrd66CsX/mY1/3GoA2aD1FLSHqKAMdv+Rjb/cWtgVjt/yMbf7i1sCgBaRuh+lLSN0oAx4P+RqvP+vdP5mtkdKxoP8Akarz/r3T+ZrYFAC0UUZoAx/Dn/IOk/6+JP51sVj+GznTpMf8/En862KACoLv/j0k+lT1Dd/8esn0oAo6CP8AiXH/AK6NWpWZoX/IOP8A10b+dadABWZ4g/5AV5/uf1FadZmvn/iRXn+5/WgC5Z/8ecH/AFzX+VT1Baf8ecH/AFzX+VT0AB6Vjav/AMhLSf8Aruf5VsnpWNq//IR0n/ruf5UAbIopBS0AIax77/kNWf8Avj+VbBrGviP7bs/98fyoA2u9Ieoo70HqKAMSaJJfEbB1BGxeta32WD/nktZjf8jG3+4tbAoAi+yQf88lpptIAM+UtWKRuh+lAGFb28P/AAlF4vlrtECECtcWkH/PJazYP+RqvP8Ar3T+ZrZHSgCH7JB/zyWj7JB/zyWpqKAMLw7bQtpzlo1J89x+ta32SD/nktZ3hz/kHSf9fEn862KAIPskH/PFayPEXh/Tta0e4tLu2RkdMZx0zW9UF3/x6ycfw0AfJOtaBrPw61tNTsvM+y+YQjqfTPyn2r334feOdK8ZabGrLEl/GuJIz3x3GeT1rZOhWXiHw5NYX8KyQyOw5GSK+dPEvhnXPhd4lS/sXc22/dG69Meh9MUAfVQtrfP+qT8BXin7R8Mcfh/RCiBSbpxx/u13Hw++Idj4x01A0ix3yDEkZOM4xyM9c5riv2kSDoGhjPIunyP+AUAdZ8HbeF/h7bM0YJ81+T+Fd99kg/55LXDfBv8A5J3a/wDXV/6V39AEP2SD/nktY+r20I1HSgI1GZ/6VvHpWNq//IS0n/ruf5UAaX2WD/nktH2SD/nktTiigCA2kH/PJaybuGOPW7QogUlx0+lbhrHvv+Q1Z/74/lQBsd6U9KO9HagDF1L/AJDFp3Gw/wA62QB6CsfUv+Qxaf7h/nWz2oATA9BRge1LRQBj3AH/AAlFmMf8sH/nWvgegrIuP+Rosv8Ar3etigBMD0FBA9vypaQ0AY2jgfb9Wx088fyrZwPasbR/+P8A1b/ruP8A0EVtDpQAmB6CmyAeW3A6Gn01/wDVt9DQBk6IPmvM/wDPQfyrWAHoPyrK0T797/10H8q1hQAYHoKhuwPsc/T/AFbfyqeoLz/jzn/65t/KgCnoIB0O0/3P61pYHoKzdA/5Adn/ALn9a06AEwPQVj+JONNTgf6+P+dbNY3iT/kGJ/13j/nQBrgfTrS4HoKB0paAEwPb8qxtbA32/H8a/wAxW1WLrn37f/fX+dAFzVv+QVc/7lJpcafYI/lH5Uurf8gq5/3Kdpf/AB4R/SgC15af3F/Kjy0/uL+VOooAy9fRRod2Qg+56e4q3ZxoLKAbR/q17e1Vdf8A+QFef7n9auWn/HpB/wBc1/lQBL5af3F/KkMaYPyL+VPoPSgDmvEmlWGoXumR3VrFIGnOSUBPSnjwT4fyf+JbD/3wKs6v/wAhLSf+u5/lWyKAOf8A+EJ8P/8AQOh/74X/AApD4J8P/wDQOh/74H+FdDSGgDibzwboSavaoLCEKz8jYPT6VqjwT4fH/MNh/wC+BVm+/wCQ1Z/74/lWz3oA5/8A4Qnw/wD9A6H/AL4X/CkbwVoA5GnQ/wDfC/4V0NI3Q/SgDltI0HTNN8UXgtrOFMQIQQg45NdPsU/wj8qyYP8Akarz/r3T+ZrZHSgBvlp/cX8qPLT+4v5U6igDF8OIn9nSHaOZ37e9bHlp/cX8qyfDn/IOk/6+JP51sUAN8tP7i/lUN3Gn2WT5V6elWKhu/wDj1k+lAFHQeNOP/XRq1KzND/5B5/66N/OtOgAooooAKKKKACiiigAooooAKKKKACiiigApD1FLSHrQBjt/yMh/3FrYFc/e3SWevmSQfLtXmrf9vWg6n9aANakNZf8Ab9p6/rSHX7T1/WgBtr/yM19/1yStiuWttYt01+7lJ+R40A56kVpjX7T1/WgDWpshxG30rL/t+z9f1pH120ZGGex7+1AB4c/5BQ/66P8AzrXrmNE1i3t9OCPwd7Hr71pf2/Z+v60AatVr/wD485PpVP8At+09f1qvea7avauoPJHrQBd0X/kGR/jWhXOaTrVtDp6I5wQTxmr39v2fr+tAGrWR4h/5BLf76fzp39v2f979azda1e3uNNZI+W3KcbvegDpI/wDVr9KfWPHr9oEX5u3rT/7fs/X9aANWse8/5GOw/wCub0/+37P1/Wsy61i3fW7OUHKKjAnPQmgDqKKyjr1oD1/Wj+37P1/WgDVrF/5mRf8AcapP7ftCPvfrVO0u47zXlki+6Fb+VAHRUh6igdKDQBg3E8cHiEtI2F2rWl/alqDjzKfNYW1y+6aFXb1NM/siw/59k/KgA/tS1/56Uf2pa/8APSk/siw/59Uo/six/wCfVKAMuDULceJLyQyHaYUAPvWr/alr/wA9KaNG08MW+yR7j1OOtL/ZFh/z6pQAv9qWv/PSj+1LUkfvBSf2RYf8+qUf2RYf8+qUAZfh/ULeLT3DPgmdz+Ga1f7Vtf8AnpTV0bT1GFtIwM5pf7IsP+fVKAF/tS1/56VDdanatbSASZOKl/siw/59Uo/siw/59Y6AM/RdRto9Pwz4O9jWj/atr/z0po0fT1GBaRgUv9kWH/PqlAC/2pa/89Kz9b1G3k0W6RXyxTgfjV/+yLD/AJ9UpG0fT2UqbSMg8EUAMttStltIQZOiL/Kpf7Vtf+elNGj2Ax/oqcDFL/ZFh/z6pQAv9qWv/PSsrVdRt3v9LKvkLOSx9BitT+yLD/n1SkbRtPbG60jODkcdKAHf2paj/lpR/atr/wA9KT+yLDP/AB6JR/ZFh/z6pQAHVLU/8tKzJ7uK41q18s5wwJ49q0/7IsP+fVPyp0WmWcMgkigVXHQigC33oPUUfWg9RQBjtx4jP+4tbArn76WS11vzxC7oVUcKT0qx/bjf8+sv/fBoA2aRumKxv7cf/n1l/wC+DS/22x/5dZf++DQAQf8AI1Xn/Xun8zWwOlcvDqUqa7cXJtZdjxKo+Q9RWh/bbcf6LL/3waANmjNYv9uP/wA+sv8A3waX+22P/LtL/wB8GgBfDn/IOk/6+JP51sVyuj6lLaWjxvay7jKzY2Hua0f7cf8A59Zf++DQBs1Dd/8AHrJ9KzP7cf8A59Zf++DUU+svJA6fZZeRj7hoAtaH/wAg8/8AXRqTXdCsfEGmS2F9CskMi7eRkis7TNTltrQxtay53E/cNXP7bc/8usn/AHwaAPmfxL4Z1z4XeJUvrBnNvv3RuvT12n0xV34meP7Xxr4J0TBK3kVw/nJn0UDd+Oa951xbPX9LmsL6waSKTj5oycCvmDxn4Fv/AA5qTiO1me0kbMbCM8d8f0oA+jPg3/yTu1/66v8A0rv68w+Fd9Np3ga2t5bOUNvZvuHoeldt/bj/APPrL/3waANk9KxtX/5CWk/9dz/Kk/tx/wDn1l/74NZ+oalLPeWEgtZdsUu5vkPSgDqRS1i/22wP/HrJ9Nhpf7cf/n1l/wC+DQBsHpWPfc6zZn/bH8qQ64+P+PWX/vg1V+0y3ur27iB1RHySVI7UAdJ3opO9LQBjal/yGLT/AHD/ADrYBrH1ayu7i5gmtQu5Bg5bHejbrX92P/vugDZorF263/dj/wC+6Nut/wB2P/vugB1x/wAjTZ/9e7/zrYrm5LHWX1KK7xHlEZf9Z61a263/AHY/++6ANqkNY23W/wC7H/33Rt1v+7H/AN90ALo//IQ1Yf8ATcfyrYBrm7Wx1i3uLqUCP984f/We1W9utdlj/wC+6ANqmSf6tvoayNut/wB2P/vukZNaZSNsfI/v0AP0T795/wBdK1xXOWljrNqZSBGd7Z+/VrbrX92P/vugDaqC8/48p/8Arm38qzNut/3Y/wDvumSxazJC8ZWPDKR9/wBqALWgf8gOz/3P61p1ztlaa1aWUMAWP5Fx/rKsbdb/ALsf/fdAG1WN4k/5BsY7meP+dJt1v+7H/wB91V1Cx1m9t0jIj+V1b/WelAHRilrF260ABtj/AO+6Nut/3Y/++6ANqsXXPv2/++v86Nut/wB2P/vuoJrHVbqaIzCMIjAnD5oA09V/5BVyP9il0v8A48I/pS6hC81hPGgy7KQAKyrS41O2gWEWbnb34oA6GisX7fqf/PjJ+Qo+3an/AM+Un5CgCfXyP7CvP+udXLMg2cH/AFzX+VYWozapd6fNbizkG9cZwKmt7zU44I0+wyfKoHQUAb1B6Vi/b9T/AOfGT8hR9v1P/nxk/IUALrH/ACEtJ/67n+VbArmbx9VubqzkFlJiGTceB6Vd+3an/wA+Un5CgDapCaxvt2p/8+Un5Cj7dqf/AD5SfkKAC+I/tu0/3x/KtnvXMXDapNfwziykwjA9BV4X+qd7GT8hQBtU1jxWP9u1P/nyk/IUfbtTz/x5SfkKAFtznxTef9e6fzNbAPFcxG2qJq8939ikxJGq4wO1Xhfangf6FJ+QoA2qTIrG+36n/wA+Mn5Cj7dqeP8Ajyk49hQA7w4c6a//AF3k/nWxXMaW+qWVq0RspDmRm6Duau/b9T/58ZPyFAG1UN3/AMesn0rL+3an/wA+Un5CmT3eqSwsgspMnjoKALWh/wDIPP8A10b+dadZ2jwywWISZSr7icEVo0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFIaWigCJ4Y5Dl41Y46lQaT7PDn/Ux/wDfAqaigCL7PD/zxj/75FH2eH/njH/3yKlooAh+zw9RDHnv8opRbw/88U/75FS0UARfZ4f+eMf/AHyKPIi7RR/98ipaKAIRbwj/AJYxj/gIpfs8P/PGP/vkVLRQBF9nh/54x/8AfIo+zw/88Y/++RUtFAEQt4f+eMf/AHyKPs8P/PGP/vkVLRQBF9nh/wCeMf8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"path": null
} | "$\\boxed{C}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Which shape has the biggest area?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "counting" | MathVision |
479 | A page is folded along the thick line as shown. Which letter will not be covered by a grey square?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A page is folded along the thick line as shown. Which letter will not be covered by a grey square?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "transformation geometry" | MathVision |
480 | In each square of the maze there is a piece of cheese. Ronnie the mouse wants to enter and leave the maze as shown in the picture. He doesn't want to visit a square more than once, but would like to eat as much cheese as possible. What is the maximum number of pieces of cheese that he can eat?
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"path": null
} | "$\\boxed{37}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In each square of the maze there is a piece of cheese. Ronnie the mouse wants to enter and leave the maze as shown in the picture. He doesn't want to visit a square more than once, but would like to eat as much cheese as possible. What is the maximum number of pieces of cheese that he can eat?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "graph theory" | MathVision |
481 | How often in a day does a digital clock display four identical digits? The picture shows a digital clock that is displaying exactly two different digits.
<image1>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{C}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "How often in a day does a digital clock display four identical digits? The picture shows a digital clock that is displaying exactly two different digits.\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "counting" | MathVision |
482 | Four identical dice were put together to make a tower as shown. The sum of the numbers on opposite faces of each dice is always 7. What would the tower look like from behind?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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KsUY6sx4FYGr+LrSymNrZqby7Ix5cR5U+4rMttC1bX5IrrXZ9kI5EMR2H6H1oAlvPFl1qE8tnoNuZXU7ftB5jHvUMXg4ra3d9rM5urnymYAE7B8p7GtTXNY0nwNoLXk0QWNcKFTAZzWfoPjmx8YeG9QvbSCWFYlaMrIR1KnHSgDY8GLs8H6YoxxD2+prerC8Hf8ihph9YQf1rdoAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKQnFAC0hPPSoZrmGBd80iRr6uwX+dcxd+LJ7yY22hWn2iRSQzyqVQD1B70AdDealaWELSXM8car2LDJ+grHtfGekXUvlBpos9Gmi2L+Z4qrY+FJLxhda+5upSciF2yqfStibQNLu4PJubCAoOAD2FAHLxzRz/ElzC6SJtU5UgjofSuK+PxulXTsu3kFzgcYziur03S7fSPiK8FqpWPCcfga7LXPDml+IrX7PqdpHOg+7uH3aAPJfgT4gu7k3+kzzyTW8CoYhwQuTzXt45HPrXP+G/B2j+E45RpdokRlHzkDlvat/cB9fYUAQXN1bWq7rq4ihU/xSOFH61mz6JoOshp3trW63/8ALRSGH4EV5h8f1uHs9L2hxbbn84r06cZPaud+CHie+t9efQ1VrizmAIJ5EOBQB6TfeFbe11yxsIbiRLS73b4goAwK2dS1Xw74A0wSThbaI9BGuS3vjNS6tx4r0Uevmfyrxb463Go3viazs2tpGt0yItoPzflQB79o2r2mu6ZFqFizNby8qWGCa8++MPg3VfFVjaNpgRzDkMjPgHP4V0Pww0650rwBptpdoyTIpJDe5zXYEZoA8u8CeCrnwb4NvPt77rq5XMkYOVTAOMV2HgjnwlZHuQc/nV/Xv+QRcf7p/kao+Cf+RTs/of50AdDRRRQAUUUUAFFFFABRRRmgApM84oLYrN1TW7DSoGkup1GP4FILH6DvQBpE9+tY2p+JtM0vAmlMjf3IRvYfUCsKS/1/xETHYRCzsmPE+7EmP90itbTvC1hp373yEnuz96Zxhm9aAEHiTTNR0y78qbyyIW+WbCE/L2BrL+HpY6DNtI3Ejbz3wa0Nb8LaRd2NxM9jEswiYiQLg9D71Q+HChdBdFOQCMflQB8+eOLq+tPiHqc/2h4rmCYsr7sEHA6V9HfD3V59b8EaXfXTu9zLDukdh945POe9N134d+HfEN4Lu8sI2nLZZwOWrf03TrbStOgsbOJYbeFAiIowAKALeOO1ULq/01Cba5u7ZWfgxvKqk/mavn29RXyZ8Txcp8QtXnuGli2zZtmIxxgdM+9AH0jd+DtEvF3R2cUUnaQZJ/nWFofhq1vdU1GG/d7yCwnEcMcvReM/41H8IfEt/wCI/CK/2hG3m2u2MTN/y2yM7uldD4c/5DHiL/r7H/oNAG9DCkESxRrtjXhVHQCpMY+vtSjpS4oA+f8Ax38LfEWuePXu7RYmtbmXfuaTGxcjPH4V3Wt6Uug+FdF0pZGk+zTQp5jdT8//ANevRSK4zx7/AMe1jn/n5i/9DFAHZr05paB0ooAKKKKACiiigAooooAKKKQt+P0oAXNIWxVW8v7WyiL3EyRgDOGYAn6A9a5eXxHfa3OLXQ7Z1U8PcTKYyvuPWgDq5L22hbbLcQo3o0gBrnPHciv4Y3IysDPHyCPWq8fgi3lJfVLmW8unGfMkX7p+orD8WeHr7S9IjMerXM9mJ4/3EmAF56etAHUNfSWHgb7VCN0iWzFecYOD3rwrwr8WvEVp4hiOpXkl7aTyLEY5HyF3EDjHpX0FpcC3nheG3f7ssBQ98ZyK8uHwGgj1yKZNUn+xJKshj2r2OcfSgD2hCHUlSCM9RTZYkljMcihlbqPWlijWKMIihVHQDtVXVZmt9Lu50J3xwSMuPUKT/SgDG1HwVo+oAstukE+4HzkBJ/U1n3Oh67pMTS2GsTzwxAuIpSAFABOOleG6X8WPFVnrcV9fajNcWcjAPbs3CqSM8Y7V9Ix6lb6x4afULQk289u7RkjGRg9qAOZ0zRb3xTaQ6jrF45tpQGW0GCmP0966zTzplsPsVjJbKY+PJjcEr+HWuUl1pdB+FsN6d277MUUqpJVjuwf0ryD4J32oX3xKW5nmmmEtvK0zMON2BjNAH0hqDSLp10YuZRC5TA/ixx+tfKug6Dr+tfET95aTG488TTyyoyr8pBPOK+rhNEZfKEke/su75vfiiO3iR5HSNVd2yxA6mgDlXx/wsu0A5P2WXP14rsq4s/8AJTbXAwPssv17Z/XNdpQAUUUUAFFFFABRRRQAUUUUAFITg0E4rL1PXLHSoi9xLuI/gjG9vwUc0AaZbHJquL+zL7BdwF842iQZz9M1yQu9a8USMtm0mn2OeJRlZCPdTUy+A7AR4W4mF0Otzt+Yn1oAq+L3z4q0gA/wH+dQfFnxDqPh/wAKNLpsrQTM6r5q8Yye1Zuq6bfab4v0xLvUJr1Nh2NLjIG4eldr4s8M23izQn0y6kZEZlcOvUEd6APLfhH8RtV1bWRomsTG5eaNpUuJWG5QvavblGQR1FeV+CPhCPC/iEatPqMty0UbRxo6jBDY64r1QYUdB14oAhurG2vYzHcwLKnoa5q68CaY9wJ7Bm0+QHgwLyT+NU/irr194d8EzX+nOYrnzo4w4IBGSa8v+HXxU1a38RjTfEl9Ld21ySElf5irEgAY9KAPSdTTxJ4ei85dSe8gd1hBmYAjdwDwOtaen+DlkmS81udtQuByFlAOw+xFWPGnOiQ8Ef6ZD/6FXSigBixiNAifKoGABXHfFF7+PwNef2aJDMxAIj67TnNdoxwM46VAJYrgFVZHAOGA5xkd6APnn4G+H9TXxBNqstq8NpDDJETICrEsBjGRyK9e8GH/AImHiAA5AvABn/drphBHDaMkS7ECkAAe1cx4J/4//EH/AF9r/wCg0AdiKKKKACiiigAooooAKKKKACikzTS6qCx6AZJoAcTUU9zFaxGWeRY0HUsa57UvF8MTeTp0D3sx4/dDIQ+9U7fw7f63tutcuHUH5vIiYgfQigDorbWtNv5PLtbyKV/RTXK6K2fiFqoz0kbP5CtOfwZp06BofOtnA+UxNtNc/wCEbN7DxpqVtJK0pV2G9jkn5R3oA4z42a7q1lren29tczQRbCcROVJw1dd8HfFt74k0O5t9QlDz2Miwhu7DGcmtzxr8P9N8aLE920qTxDEbxtjjOead4G8C2fgqxuIrV3eW4YNI7nJyBigDrQD61XubK1uf9fbRy/765qyK8P8AjtrWpWGqaXZ2V5LbxS27SP5blSSG46UAekXPgjTppJJreSe3kY5Bhfbj2rBm0jVo9Zg0M6gxguYnlLhzvwuOM1zfwY8d3GqyvoGpu89zGN0MxOcqo7n15Nei3f8AyPulj0s5RQBe0nw7Y6Qv7mPfL3lk5c/jWxiiigDxb47aPrOpx2H9n201xbKB5kcYzltxxVz4d+Gr7w78O79tSTZNdgSiMjBUhcYPvXrEsYkGGUMOuD69qzfEg/4kd0f9g/yNAEHgvnwdpn/XH+prerB8Gf8AInaX/wBcf6mt6gAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigCOSQIpLEADqScYrnNV8W2tpM1pZxtdXeAQEBZPbLCqXxAlvfs+nWdncPCbuZo224ww2k4PFZelDVfCMGJdGtmiP3riFy7sPpigDSi0HVtffztdnMMHVbWNtyH866qw02002AQWkCRRjstY9j4y0m+mWL99C56meIoB+JrdiuYJv9VNHJ3+VwaAJTxkk9Oa8/8AFHxZ8P8AhXVJNMunuHvI8FlWLcMHpyK74kEgkcfSuQ1/4b+HPEd8b27sYjckANJjLGgDmvDHiqw8W+NhqFgZDEQo+dduCAexr1fOK810Pw1pnhfxXDZafCUGQS23GeDV34kePLvwTb2j2ljDdvOSCshYbcfSgDt7hylvI653BCRj6V8ww/FbxVYeIzdS6jLcWi3DJ9mdvk27sc4Fe0/Dz4g23jywmDxLDeRj99CuSoB46mud1r4GaXqWsfa7W9ltIJH3yQoikDnPf1oA9DWHTvFfh9BdW6zWtygLRuDjOKg0DwZofhpnk0zT4YJH+9IoIJrV06xg0uxis7dQI4xge/vVzNAHNavj/hLNFBPXf+YFat5oun6jPDNeWkc0kP3GcciszV1B8WaKSORvH6V0Wcde9AAo2jGAAOgFRT3MFpC01xKkUa9Xc4A/E1IrljjGBXjPx91i6t9KtNNgJEVzkyHJAGOlAHpd/qVnqehXMtncxTqFOTG4bHB9KZ4J/wCRTsvof515Z8GtJu7HwhqtzOh+z3G0w5zjGOcfjXq3hFBH4YtAPRj+poA3qKM0UAFFFFABRRRQAhOKrXV5b2kbPPKiYGcMQCfpmrJryvVNP1bxB4o1FIyt1FZT7Ut5nKr0B6igDoJvE+oa032fw/aMwPDTzho9vuOOatab4OhEi3erStfXXU+b/CfbFU7XxVLo4Ftq2ktboo+X7LG0gH6Vv6f4i0zUYy8Nyqj0lIQ/kaANVUVECqAoAwMVBe3Mdnay3EzMsUSF3IGeBzU6Osi7kYMp6EHINQ3dvBd28kM8avG6lWVh1HpQB5VefHXwrcLLBAbkrJGyBzAcgngfhXUfDaVZvD7SqTtZlIJ4zWZefB3woFluIrKOLaC4VU44HTrWz4Djhh025SBNkayKAMYwMUAdfnAoU5GcYrxjxN8aL7w74qudMGkQyWlvNsabcwbHHQdM9a9W0TWLXXtIt9Ssn3QXC70JGDigDRPNc/r/AIO0TxNJFJqthFcSRcK7g5AznHBroM0Z5x3oAoaZpVlothHZWFskEEYwkcYwBisnw2f+Jz4jH/T4P/Qa6TcCpKkGub8NqF1rxER3vAf/AB2gDpR0pc0wtx3oV8puIwKAH1xnj/8A497H/r5i/wDQxXYqwYZByPauT8bKrx2YIz+/j5/4GKAOtHSlpARiloAKKKKACiiigApCcdqWq93KYLaacAHy4y2COuATQA6WaOFN8rqi+rMAP1rl9S8X77g2WkWz3V1nbllIRf8AgQrjTrt1rtysutm7TS3+YQW8e9Wx0z6V3+h3ugpaKNOeC2TH3GYKfyPNAGdZeFLq+uVvNeuXuHHKwFtyL9DXWw28cEYSJAiDoBTkZWQMjAqehBzTs0AV7i6gtI/NuJ4oYh1eRwoz6ZPFcV4x8RaVqOhPb2t9BJKLhPlWRSTg/WtPx54QTxp4dfTHuXgyyuGVQeR0ryVfgtJ4euE1Ga/dkjYenJ7dKAPctA/5AVn/ANc60uKx9InS18MwTyE+XHCXYj0GSa57Q/it4V8QasNNtLiZZznb50WxTj0JoA7oVFLEk8bRyAMjqVZSOoPUVIDnPtSmgDxzUvgPpd5rxu4L6a3tGkD/AGdUUqoz055//XXpiafb6T4aewtU2QQWzIi46Daa1uKq6kM6Zd/9cX/9BNAGBo2mW+seA7OyukVopbcqcrnGc8iqWh+CtK8B6LfTadGrXCwO/msuDkKT/StnwgdnhHTB1/c/1Nad7Al3ZT2zsVWaNoywHQEEf1oA+avBPjPxFrvxLiuVuHk85WPklvlVeM4r6cV1DbM/N1wTXnvhX4aaR4Be81aCaW6uEiZg8igFF28r9OK8e/4WR4n1fx+sthqFwto9ygS3jO5VQkZAHp1oA9zY/wDFzrT/AK9Zf6V2lceYx/wsW2kyeLeUcjHpXXigBaKKKACiiigAooooAQnFVbq+trJC88yJgZ2kgE/SszxXrE2h6I95bxrJKXWNQxwMscZrg9PvbW7vFm8VfbJ5QT5cckJMajt8wx70AdHL4j1HX5ja6DAUj6NcyAoU+nY1oaT4ShtJjeX8rXt43Jkl6g+2K1bK+0028aWtxAEwAqhx+WM5rQBA4oAQLtGB0FUr3VbLTlzeXUMORkB5ApYewNXyfevNfiN8Lx45vra8F9LDLboUVAoxgnOeaAHa/q1lqvifSJbS5jlAjOQrg4+YGvSOO/FeFaB8N38E6zBLNdl2kb5FOOmRnpXrviLxFYeF9JfU9TeRLdWCkou45PTigDXOPSvGvFHxqufD/iu60qPTIZbe0m8uaQswYdOgHWu+8L+OtD8YCU6TO7NG2DHKuxzx1Az0968r+Ivwn1q+8SXmq6RsuYr6XfIksu3Yx44/KgD1bZo/xA8Io21Z7G8j3LuXlTzg47EVw/h34G6dpGupqFzfzXaRHMcbouM8EH8K7H4eeHLrwx4StLC+kBulRfMVWyqkdgfSutoA5vxoMaJCOP8Aj7h/9CrpBXNeNxu0SHB6XkP/AKFXS5xQBxHxT8Q3XhnwRc39pkSl0hyDjAbIyOK4H4E6vrWo3uordztc22/Lu/UNt4r1Lxl4XtvGWhPo91O8EbOkhdFBPB96Z4N8G2HgzSTY2OXL4aWUjBkYdz/ntQB0Uv8Ax7vn+7XJ+CP+P7X/APr7X/0GuskH7l+c5Brl/BsQS91wg8NdKf8Ax2gDraKQHiloAKKKKACiiigApCcGlrhvHWq6nDd2ml6dwbiJpGZfvDB7UAbmq+J7DTN8YYT3AOPJjPzZrDW01zxO2+6Y2dl2iB2uR71R0G90vS2VdSsJ47piC9xdKOvqDXc2mq2F++21uo5TjOFOaAItL0Sz0mER20QGP4yPmP1NaGCMgY6UoYY54ob5hQBzep+O/Duk3DWt1qduLhTteMPyp965/wALaja6n431G8s5kmgdmZXTkEYFZHiT4JadruuXOqR3MgkuH3uCeM9P6Vc8AeGYPCuuPpsL72RWDZOe1AHqA6UtcX4z+Imm+Cri2gvba4ma4UuPK7DOK1/DPijT/FelR3+nvlGHzoSN0Z9DQBu1zfi7wdpvjDTha36EMpBSVDhlIOeDXRjml70AcP4K+G+k+CzJPaB3uHHLyHJGRyBWndjHj7TP+vSX+ddJxXNXg/4uBpZz/wAucv8AOgDphRSZx1pqvuzjscUAPrI8R/8AICuv9w/yrWzWX4iwdFuAehU/yNAFbwZ/yJ+l/wDXAVvVieEVEfhPTV9IRW3QAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBx3jbIvtAOCcXbdP9010st1b2lostxMkUYUfNIwA/Wue8bSrBLpEjdBcN/6DXNfGTT9S1HwTFLp+9o4RvniXq6kDAxjmgDtDZeH/ABCGPl2l3gckEMR+VZc3g24skZ9E1S4s2/55IAFP1rxD4PavfWPjeCxs4nNtcFY7gBSQi89fTmvqBelAHFDVfE+ixql9Yw3UQ6zCQs5H0FX7DxnpFzKsZ8+CRuG86EooP1NbOo6nZ6Xbme9uEhjH95wufzNZ62+geJ7bzvKt7xWGM5B/kaAMma8t38bWvlyo4YjBQg9vaqfxO8GXni3TrZtOkAubYkqjNtVifU1japoDad4xtY9GnaB3b5VXgDiugfXfEehmNdU0+KWBjjzYpC7/AIjFAHN/Cn4da34W1G9vNZWGMyAbFhl3g164BxzXO2HjPSb59m6WB+/nxFMfnW7DPDOu6GVHHqhBoA4f4k+P5vA0Nmbe0iuZrkkKkjMBx9Ki+HXxJXxr9ohuYIbW8hAJiR8g59M81Y+I/gmXxdYwS2kmL20yYUY4Vs9QTmuP+Gnws1jQPET6rrAhgMWPKjhkDhvqRQB6Pq//ACNWi/8AA8flXn3xi+Id/oElvpmi3Dw3LZ86RDgp6dq9B1YY8V6Kf98fpXJeNvhNB4p8QRamLl4txzNgA5A7c0AdD8NdXvNb8Caff38rSXMinc7dTg461r614f0bW4caxZQXMS8/vuAPxzVFLnR/BmjwWEOAsa4SKIBmJ+g5/Ss4Q614sRGmkfTrFjyqE7nHowOMUAM1HVrGxtP7B0CyMjKdqrHGTGv/AAKo9K17UPDltDZavpxWNBy9srSH+VddpmjWWkW3k2cQiAGCw61cKBkKud/FAGVpvibS9SUmKfy8dphsP61rJKki5R1YeqnNYl/4S0W+Jd7GHzh0k25IrKk8J6rYRk6Vrl1tH3bdtqr/ACoA7PNGRXF/8JFr+lEDVdLjMQ4Mluxdj+AFamn+LtL1CURI8kLHr567APzoA6Gioo7iKUZjkRx/stmpAwNAA33T9K4vw4ceMtfBB5uT/wCg12bcqfpXH6LMo8a6tD3aYn/x2gDrpIllUq4BU9RWFe+DtGvCH+xxxzDkSqCSP1roRRQBxMnh/wARaZKn9matLcwL/wAsJyFQD0GBmnDxbe2M3l65pflJjBNuGl5/Kuybjn0HSsa+8RaPZXa2V3ewLK/BQyAfnzQAy18SaXqVlMYZ/LwhG2bCHp6GqHgqZJba/wBp3BJQCe3SrGo+FtF1C2e4W1iEoQlZk5PfvmuL8K2Ou27Xx0icSRwygGOV9oPy98UAYXj/AOE+v6x4hu77RxDPHdyeY4mlCbO3GfoK9M8AaBceG/CNjp12wNzFGFkVWDBT6AiqkXjO7sJ3g1rTZImQkFrZGkH51uWHiTS9SQNDdKue0hCn8jQBr9+ma8a8V/Gq88P+KbvSrbS4LiG0l2TSMzAj6Yr2MOJFyhDDHBB4NeK/EH4TatqutXeoaGIrg3zmSdLiXYFbpxj2oA9T8MeIbbxN4fttUtmQiaPcyK2dh9D6VS0F1h1XxJI/CLd7ifbbzWd8MvB8/g7w19mvJd11MQ8yBsrGRkYB9MYq/okIudQ8TwsTiS52MR7pigDxjxF8VdcufiJHbaVfSRabHeJCFVsLIrEcn86+jhggg9PSvJtG+DFhpniyXVLq4MtojlooXxtzxgn8a7PVvF0Fo4tdPQ3d4xA2oCUz7kdKAN6e4trCIvK6RqBk5Iya4PWNXvfE9xHFotl5kVu4dnnDIMg549a1YfDF3rF39s16ZpEBylruDRr/AFrqo7ZIIkihzHGnACnt6UActB43S2zHq1pPBPn/AJZRll/PpXQWetafewrJFdRDd/CzgN+WaszQRXUflzRrIh6qw61z954I0m4kMttELOcnJeIc5oA6YMCMg5B7ilznsa4x9H8T6VIH0/UpNRUf8srpwqj8hSx+MLqylMWt6a8PvbI0o/lQB2eaKx7DxHpmoIzRXSLg42ysEb8jWqkiyLuRgw9Qc0APqpqn/IKvP+uD/wDoJq0Dmq1+N2nXQI6wuP0NAHOeBVSXwpbo4VgUAwQOKsX/AIO0S9k3i2jhnzkSIPmqp4VlNv4Pka3GXihYqvqwXivAZPiT4ptvEE1xPqt1GI5wklrnhV4yCPTigD3l9B8QacVOmatLcxIeIJyFUD06ZpI/GN/ZXLxa3pTQqvBa3VpefyroPD2rxa/4fstUiXEdzH5igcVpOoKlWGVPXjrQBk2PiHS9RXzIrkR442zEIfyNQ+J2in0Bn3K8e9SCpz39qjvvCmg6hI3+jwLcj+NTll/X3rm/Efh3U9M0hza6vcTWoYZhfAVRzwKAOntIWuvBqQxAFpLVlUZIGSCBXy9J4e1m08SWludNuRcQ3CBpIomKbtwwd2MYr3vw54yfT9GtIdQsZViWP5XhjaTIyea6+x8QaXqUYeG4RQe0pCt+RoA0LJZUtI1nx5oHzYp1xNHbwSSyHCIpZvoOTTo5A67lYMD3BzVbU4GutMu7aPG+WB41ye5UgfzoA42y+L3hO/1cabDcTiYnAZ4sKfxrs9QOdLuiOnkvj/vk18kal4S1nSNTh00WVz9rhnRBJDGzJuz13Y47V9SabFqEHgxY9VfffLauJmznJwe/0xQBD4fu47DwPZ3czBY4rYu2T1AycCuN8EfFv/hMPGTaKljFHblGkinBO5goB5HQck1p6lo19r3wntrHT32zmIN1xkDdkVynwg+HGoaDqja5qqiCSNGiiQNnKkck+9AHsl5bLeWctu5wJFKNx2Iwa8+8P/CnRfCmuNrDahJKighIZ1VUXPTB/Cut1bxLZ6a4gGZrhlJRIxuye2ccisaHR9Y8SymfWZDBYt8y2qNuV/qDyKAKL+JLGPxql0EuXgijeNpEiLLk+/pXb2urWN1Ejx3UPzDO0uAw+ozUMGiWFva/Y4bKJbU4yorLvPA2kzS+dax/Y5epeEc59aAOnDA9CD9KXPtXFnS/FemODaXx1JF/huZAo/QU6HxlPYzNFremyW79jbRtIPzxQB2QNLWVZa/puoRCSK6jXP8ADIwVh+BrSV1ZdykMp6Fec0APopCcUCgDlfiB/wAi7EfS7h6/71bMNpb3elxRzxrKhQZDDg1meOER9ATeBtFzEf8Ax6svxrq+oaP8P2vdKDm4CgAoCSAc5P4UAXrjwPpbP5ljmycH70I5z+JqqbPxXo7GSC5/tSNRyLmXbx9BXjHgP4n6vY+I7RNV1Se9tbgeWyPg4YkAdP8APNfTIB6k/hQBx9p45SMeXq1lcW03byomZfzIrorTVLC5VZYryE7xkKZAD+Was3NvDcRmOeNXjxyG6Vzdx4K0W6k86xC2r93g5OfzoAj8WCM6pp7tg4IAOf8Aaqr8UtJvNY8FzwWMXmzCVXKEkZUE5xjvXPeLLHWNIubNpb6XUEV12+fgfxdOOa6q18c26vs1K0uLeTdgFYGK/wDfXSgDxH4U6ZqifEaOaKyubdPJkDNJE6ryACMkV9OAHHH4VTt9TsbtFaK5hbK4xvGfyq6rD1680AZeu65Y+G9LfUdRkZLZCASFzyaxvDHxG8PeLrprbTJpjMoJ2zR7CcelV/in4euvEngueysgpmSRZyCcblTJI9+teE+CdG18fEC0fS7a6tnQEvJJE0abMjcN2OcigD6I8aHOiQ/9fkP/AKFSeNPFlt4P8Py6lOA7AhI4+uWPTPfHvR4zP/Ejh/6/If8A0KuN+MvhPV/ElrayaaQ6R4R4WYAMd2c/hQBt/DPx1J47028uprOO2a2lEe2PJByM125Ql1beRgcgVwXwu8ISeCvDUovpNtxeOssykjCMBjAPTFbOqeLB5ktnpMJurwNsBwdmf94UAbWoaha2Ns7XEyKSpwuQGP0FcZ4X8T2FveX6zJcRi5nVoy8JAxjGc1p2PhWa9YXfiKQ3cw5WB2ykfsDW9caPYXduLe5s4nhUYVT2HagCxDe20x2xXMMh64VwTVndmuRl8DW8MjS6VeS6dJnI8hR/WoVXxhpRcqsN/EP4ribBH4CgDtM0tchaeOrUAR6jaXVvP0bEDFM/XFdDBqllcIrR3UJDDgbxn8s0AXs0U3PalBzQAtcX4gOPH2kcj/j2f+ddpXH+IiieMNKdgM+S4BP1oA6W8s7O6TF3BHIvT5xmsC48F2MjeZZzTWrHoYG2iuE+Oeqazp1tZCxmmgs2H72WM4w2Txms/wCC/ja7vdYn0G8nluSwMkcjkkqFHIoA71oPFGhxE20kV3DnpJlnNWrfxmiKkOo2VxbyHh5GGF+tdYuSOTz3qpfQWMkRN7HEyf8ATToaAIrLVtOvDstbyGY9gjZNYNlsXx3MOAxDH9BU8/g7TpyZrOWS1PVWtztri4xq+g+NGELG6dUcfMdzEcUAQ/GjwzqWqy2V/Y2zXUcMRR40GWyT2pnwM0LV9IttSa+tJrVHlB8uVcFvlAzXcW/je3EyRahaT2kn96RcA/St+11SxvcfZbuKU4zhGzmgC8vT8a5Dxp8QtL8Evbx38U0rzruRY/TOK68GvIvjJ4Qv9amstYs4jOtpC0LRIMsdzZyBQB3fhPxhp/jDT3vNPDBUIDq/VSRnFNvD/wAV9ph/6dJf515b8FPDWu6drN7eXUE9nZbiGgnGC7beDivUbw/8V9pnBwLSX+dAHJ/FD4nyeDJbez05Y5byUFm3jKqAec+9dp4Q1iTxB4S03V5VCSXUXmMq9AcmvKPHvwt1jXvG63kE0bW9w5LFyfkUkZ/QV6rpcFh4Q8NWunvOFhtItql25bGaANtYwsjMCcnnrXM+Ktes7azltVbzro/L5SHLDgj+tVLjV9V8S7INIjNvbuPmmk4OPVa19K8M2mnKJWQT3Z+9NKMtmgDI8M+J7O10y10++V7OWJNrGYgDNdZa39reqTbXEcoHUoc1Dc6PY36f6XaRSMRyStYFx4JSLL6de3Nu/wDdRsLQB12RQCDXFM3i3R48kW9zCvpy5FXLbxtbM6R3lpcWjHq0w2igDqqKpW2qWN4222uYpSecIc1cBoAWikBzS0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAcV8Q/uaT/ANfDf+g11UcCzWEccgDIYwCCPauc8eW/nW1i3/POUt+ldLat/okGQcmNT09qAM3S/C2i6LeTXWm6bBbTTj946dTW0BjNJuzSg5FAHkXx40m+1LQ9Pmto3eC2kZpwozwQMcYrlfgfqd1B4hu7G2gd7J0XJKn93jPOP89K+gp4IrqBoZkV4nGGUjgis/S/DukaJJLJpthDbPL/AKwoPvUAc5qWf+Fh6dnP3v6V1Gp6tZaPB599cJCn+0wGfzNcvqXPxC07gD5u30rlfj5Y3V1o1hJBA8qRMxfYCe1AHoYsvDviiL7V5NteBx9/IYis6TwZNZlpNI1S4tDnIiQKFryv4C315Hq19Zxo7WhRfv8A8FfQgHFAHFNq3iXRV/4mFhDcQDrIkpdz+AFX7DxrpN5L5LNNBIOD50ZQA/U1r6nq9lpFsZ765jhQdNzAZ/Ws1bXw54piNyIba8yOTkEj8jQBV1i+sx4j0ecXERjUOSwcY6fWq174lutXkWz8PQM7kkPPICgX6HGDWL4g8E2v9t6fZWs7wxzliFUfdxWnaR+IvC9r5Edjb3Von8ZlJfH0AoA1dJ8JW8Li71FjeXx5MkgHyn2xXShQBjA/CuWtPHOmyMsdzDdQTdDvgIUfia6GC/tbjAhuIXJGdqyAmgCwcDFeUePvjBJ4T1Y6fY6elxIhw7TllUn/AGcda9WYBhyMjHSsPVvBnh7X5Fk1TSbe6dfutIvIoA474e/FiLxlemwubE293jKiJWZcf7x6V6cOR6ViaP4Q8P6BK0mk6Vb2jN1MQIrczjigBCB0PP4Vlah4d0fUQzXdjA567mHSrl5e21lC0tzKkagc7iBn6ZrkZ9c1PxFcvZ6OktvbZw10fkIH+zng0AY2uRxeHHI0fV7wTMci2t1Vlx745FdP4I1m+1fT5xfYMsDBS2c5yM1Pp3hex0i2llCeddvG2+4cfMxx37Vm/D9939rA5/169fpQB2hOVP41w2in/i4eq/8AXRv5Cu4PTj3rjdMgMPj++fP+tLt+goA7QUtM3BevH1NO3CgBG69OlfK3xO0q8sPiBql7dxSGO4laS2ZAcAYA/n/KvqrrWbq2g6Xrkax6nZRXSKQVWUZwRyKAOQ+GGpXuo/DuD7bDsaKDCuc/OME7queAsldXJHP2gZA/3a6ZbK30/SWtLWJYoI4iqIvQDB4rm/AQOdXPrcj+VAGvf+JdGsr5dPuryFZpOChcD8+agufCGg6hGJY7SJXYZSaPJP16186fFWxubb4g6lcSwSpHJIWhkAO3t3r3b4U397e+AtOa8jKlYlCMRjcPWgCVvD2v6ZhtM1ea6UciCchV/lSf8JbqGmv5et6YYwOrWytJ/hXZE46isXUPE+j6depZXl7DHNIMbWkAx9TmgBdP8T6XqSAwXAXP/PYhD+RrE0/W7DS7/wAQ3FxLuU3i7VTDFvl7CtOfwnoGpRedHZwFn+ZZ0JJ+oOea4m08EyXesam9vdM0tlchED8buM5NAHQvPrXimcrZlrHSt3+t5V3X3U10ek6BYaQubeBRKfvyHqx9a58eIdb0jYuraXH5KjBe2LOxH0xitbT/ABfpOoyGNJJIj/08J5Y/WgDfAqC5mS2t5ZnUlUQsQBkkD+dPinimXdFIjj1U5olVZBscAgjBBFAHhGqfH+8s9VmhtNGt3tkchWmZ0fA9V6A16h4I8aW3jTRvt0EUkbJgSBlIG72z1HvS3Pw38HXlzJcXPh6ykmkOWdlOWP51uaZo2n6Lai2021jtoR/BGMCgC6MdKbJGkilGAIPUUoOxee1Zera7ZaTCzzybmHSOPDMT9OtAFLUvCehzoZpLaGCQciYnG38zXDX2q3ujXot9H1a8vIoz86ugEY9gw4roY49W8XsJJ3ksdNz91DzKPRgelXNe0my0nwtLDZWyxLuXdt7+9AG/od7JqOi2t5KoV5U3EA5qfUeNOuT/ANMn/wDQTWb4PYv4S0xj1MIrSvwWsLlR3iYfoaAOV+Hnz6HICc/MB+lZXiX4PaL4j1oam08lq7OHlSNBiUg9/wAOK1/h8hh0mZGByHX+VdgGoAq6fZW2l6fDZWsYit4VCog4Cj0pmqyyRaRezQZEqQOyEDnIU4xXmXxn8a6x4bitLLSWa3e4TeblWwVwcYqX4U/EV/E8cukaqc6hFnYx+bzVxksfzoA8k0fx74msdXiv7zVrlvMmVZYWOeCQDxjrX0V4gvY7/wAHtdw7vKmAI3DB/wA8Vgat8HtB1bXV1UO9uwkEjwog2uR65rpfE9vHa+F3gt0CRpgKoHAFAD/CirJ4R09WGVeAAg9xzVa78HaDebkht4oLkHPmxnLL+vvSaJK8Xw9gljJV0smYEDkEA8ivnHSfH3iKw8RJcvqk8kbzKksTY5yVzx60AfQj+H9f0whtM1aa5QdILghV/QUn/CW6hpr7Na0xowOC1srS/wCFdVZXEd7aJcRhtknI3DB/Gp2UE89Dx9aAMmx8RaXqMe+O4VOmBN8p/I1bvpFk0u6KMrAxPyDnsaxtQ8JaDqjuv2eKO63Z8xPvr+dZl74b1nTLGY2GtXE0QRt0Mu1VAwc44oA1fDl5bWfhDTnnmRAIMgMQCeT0zWY2tap4lnaDR42trTOGuW+RwPYEc/8A1647Sba8jhsr3W7c3mmrHmGNQZCo+gHrmvSNK8TaPdosNvI1uiDAWdPLA9uaADRPC1lo587/AI+Lo9bhx8zeua38UyOaOVd0Tq49UOaeGBJFAFPUdRtdKs5bu9mWKCMZZmIGK4iz+NPg68vUtUublJGbaDJAVXP1NdV4j8O2vifSZdNviRC5zx2YdDXl8f7O2lLIrPr166hsspiUbvbrQB7LDNHcQrLE6yRsMq6tkEfUU6SJJUKOu5T1GaqaPpcGi6TbadbjENumxB7VeJwaAOcvvBmjXZaRbVIZzz5yDn9TWdNoGv6YFOm6xLPCvSKdgqge5xXS6lqtnpduZrqVUA7A/MfoK5R7jWvFkmy1L2OmnrL0dx7g0AR2nj2eHVFsNUtYVfcIy9u+8ZPFd8OleY+IdDstBuNMS1RfMaRfMkI5c7upr05c4oA5fx/x4a4/57x/zrQ0q2jvPDVvBOu+OWHa6nuDmqXjuJpvDZVRkiaM/rWnoDf8SCyP/TIUAcLp/wAF9B0/xMNW815YVyUs2RdiHjGD16ivS1UKCAMUbgBzx9adQBwfxd1TU9I8CT3WkyyRXXnIm+MZIU5zXl3wv8d6jaeKINP1PUZ7u2uI264JDcAdK+gtQ0+31OzktbqJZInGCrCuF0H4RaLoHiI6tDK8nB2QOg2oTjofbFAFvx2QLzTcjOZU/wDQxXXXlnbXtuYLqJZIeCVbtiuS8dDF1po/6aoeB/tim/FrUr7S/AdxcWE8kE3mIu+Prg5zQBen8FaRcMJ9McWLj+O2wcn86hFh4p0iT/RLkalEO1zLt4+gryL4S+O9Ti8UwabqN9Lc2twjEA4JU9unavo1ckZzz3FAHIQeNUhcR6rZXEEgOMxQsVB/3q6C11WwvEDRXURyB8pcZ+mM1buYYbiJop0V4iPmVumK5e68FaRdzLPpriykXrJbck/0oAseMyW0WDbzm7hOR0+9Wjq2uWOk2rS3EoJBCCNPmYk9OOtcL4r0nXdN0tEGpy3luZ0CNMRlWz8uOKi0lhoupSXHiSymnvWOftMcbOR+IwKANtIta8XfPM7adp7dBGfmkHowNdPpOjWWj2whs4VjH8RA+971FYa/pt/CJIrqNc9FlcKw9iDzWqjBkDKwYHoRyKAHAYFYPiTxZpPhOxF3qk7IpICog3O2fRc1vHnpnNcX42+Hlh44ii+03UlvPD8qTxqCyjPI5oAboHxT8LeI7sWtldSq7cAzx7FJ9Mk12g+b6eleS6L8BtI0nVIL99VurpoSGWOWNcZGMe/avW14+p5oAhubO3vIjFcRLIh6qelc5c+BdLMnmWI+wSDnfCvOfXk11RPtWFrXiax0cBWbzJ24WOMbjn3x0oAxZoPE+hAypfpfxJ/z9zCPNWPDHjMa5fGynt1inwWHl5KkAepqpFo+reKH8/V5jb2ROUtlO5XGf4gencVBo9pb6f8AET7JaxLFCkcm1F6AYHFAHoK9K4bxeT/wlmkDsYz/AOhV3C5281xXjCJj4l0qUfdVCD/30KAOj1vQ7LX9NksL6JZIX9RnH0rA8JfDrRvB0801j5ks8pJ82Y5ZRjBA9uldjnn61V1C4a10+5uEALRRO6j1IBP9KALIbrx3rxD476hq1tqWlRWd1Nb2bQsZWRsDfuGM1xVp8VfEdp4sl1G4mZoGmVXtyflRSADgV9AzWGk+PvC9vNNFvtrlA6FhyBQBwXwW8WXGopeaTeTTXEkUgEMjHOFC811Fqc/E7gY/dSfj0rQ8I+BdL8GwTJYhnkmYM0kmN3SqNvj/AIWd6fupMD8BQB1Go2unSoragkLAcBpO30rFn8FWE0jzWNxNabuVFu2AK84+Pep6hZXelxWtzNDE8fzbGwC2/ir/AMEPFN5qdne6fezSTtDIFjcnOFA9aAOu+z+KdGUmGWK7gH985c1Pa+NI1cR6jZXFs3Qu64U11q9PT2qlqMFjJD/p0cTx5A/e9KAG2mr2F9gW13FK3orZNZN6QPHmmEk4FnKWPYCoJvBGnTytc2NxLaF+R5DYFcjrmh66uvWtnDel5Ggdo3Z+Sg6j8c0Adnq/iuOFlttKQ3ly+VBjG5UPvVWx8Lz6nIl7rkxkfqIAcoKzdC1O28PRCG70qaOdflNwIuD7k12Npr2mXgURXsJdv4N4zQBehgjt4ljhRURRgKop56ilzTH+tAHD+KvipoHhTURZXXmzzc7hCAfL+tXvCnxB0XxeHFhIUmUE+TJ94468Vk+J/hDofijU2v557iCds7zEQN5PrVrwf8L9G8GXz3ljJNLMwIDynJUEdqAO5HSq11p1pfLtureOUH+8M1ZHGaa8ixqWcgKOp9KAOYuPBVmXMlncT2knbyTtrE1C+1zwlHue8tp488LM2XNa+peK2nnaw0WP7Rck7d45RfxqK18IlkkvtYlN1dCNiEblVJHagDS8L+If+EgsJJjGY5Im2vkY5xmuhriPh6QYNURRhROAP++a7cUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAcj8QHaPRkdTghjj8qpePtY1DRvhzNeaczR3K2q4mXrHwOavfECN38OvIqkrHkt9KvRjSte0FLGd7e4glgVZIHYHPA6jNAHivwv8Aibrtz4tg0nVr6S/S9KojTMCYzjPavoZAfXOBivNPDnwc0nw74iTWIb+4meKQvFEyLtjz2GO2K9NHSgBCQtG7Prz7V5l8ZvEeseHdBtZNImmgeVyHliPK4HvXM/Cf4japf6x/ZGtXsl48yjyJXIJz15oA9M1uCNPFWiTKPneUg/lXRXNrDeQNDcRLJEwwVYZrn9ecDxLoAyOZmA/KumzigDL0vw/pWhlzptlFbeZyxQdatJqFo0/kC5hM3/PMSAt+VPuWIgkPI+Q8j6V8gXmsaxpviea/e9uIr6O4PUYIXceCPcYoA9j+O+l319p2n3VtCZYLYsZUGcnPTgda4/4F6te2niSbToLTdaXGPMkw37vFe5+Hb5fE3hi3urqD5ZkAdHHp1/OrWk+GtH0JpW0vT4bQzHL+UMbjQBnay4/4S/Qx6+ZiunxyTXJa7keOPDo7fvP5V11AFK80qy1Bdt1bRyj/AGhXOyeBYLeZ59JvJdOkPIECj+tdfRQBxXm+LNGRi8UWoQ95JZTuH4Cp7Xx1YMVivILqC46MDAwUf8CNdTLJHCheV1RAOWY4ArOkOi61mLzbO8I6osiuf0NAFuHULS4UNHcRMCM/fFY2ueKrfTcQWyC7vJOEjT5h/wACI6VjeIPClrpWnS32kSvYSL0EIxkHtzWj4J0m1g0eC/MQa8lBLysPmNAFOHw1qGvXMd9rsuEHItFOUH9a1fE2s2vg/wAMXF6ECxxLsjUDGWPQV0WK5fx94Zfxb4Vn0qKQxuzK6sDjlc4FAHmfwy+Ieu+I/Ed9Z37+bbzRyOCWz5eFyAK9G8CweVBfynkzSqx9uKw/AHw6XwToF7NcuJdRnjZnbgiL5TwtbvgF2k0iR3OWZgaAOsxx+NcXbyOPiO0YbCtHISPyrtewrhJJU0/4kRS3LhEkhk2liAO1AHB/GLxl4j0bxLZW2m6hLp8JhdiYjjzMEetdn8JPGN34v8NSm9/4+rNlhkkJO5yRncc1oeM/A+jfECyjWadEuI8BLmHDsozkjrirPgnwRZeCNMms7Sd5vPcPJJIoBZgMZoA6pAQoBOTTqap4PbmnUAMkUOpVhwRXM+FoUg1LxBFGMKt0AMf7orp2PB+lc14acNrXiUZ+7eAH/vmgDS1TQNL1uNU1GyiuQp48we9XLS0gsbSO2tolihjUKqL0UelThhSg5oARs18p/FnSL6w8candXUDNDdTeZA4yQF4H4V9W8mszWNC0vXoBBqllFdRA5CyZxkcjpQBxHwW1a/1HwRFDeW3lJa7Y4Xwf3innPP1ro/DLA654kx2vQD/3zW7ZWNtptlDaWkKw28K7UjToB6VznhPH/CQeKun/AB/j6/dFAGzqGuaZprpHd3kMTucKrSAHrjpmoLnQND1uIyyWtvcLJyJVIbP0NfP3xqsNQi8YfadQR3spAxgcjKoMjj2716F8BtQvbvwzfRXLMYLaVUtwegXbk49s5oA6c+Dr7TUJ0bV7iFe8CqoU/jSf274j0cImp6ZHLCvWWGQu7D1xiuzUHGD1FVrq9tLPb9quoYd3TzXC/wA6AMjT/GGlX8mxWmhJ6/aIzGAfxrZ+12+wuJ4tg6tvGB+NZk+kaFriNLJBaXWT/rFIbn6iuJ8S6CdJu7W1tLqUWs8i+ZAqgKecUAdBqHiq5vbw6foNv582drTOSqJ7hhwam0jwfHFdnUtSla8vWO4mTHyn2Ire07SrTS7YQWkKxx98d6ujjrQB5r8V/HUvhDTI7eyO2+uFzG+cbVBwTn+lZHg/xPqnij4d3L6mzNNFLHGJW+84bnNaXxS+HF143vdPu7OcJJbL5TAkDClvmP1xV6+8P2/g/wCH1vp1id3lSRK0pADSHPU+/NAHWeGYfs/huwi/uRAVo3H/AB7Tf7h/lVTRONHtf9yrNz/x7Sj/AGD/ACoA5XwXc7oNT3AgRSjp6ba4HV/jlcab4ru9PGl27afBcCJpy7B9pIycfnXc+BAP+JxG2CftC5Un/Zrzrx58GdX1PxPLqOhPFJDeP5kyyy+X5Z6YHrxzQB6H4h8O6V8SfC1vPFIUWUB4LhVG4KCazPAHwth8H6i+pTXctzdlSq7scKRgjiut8H6RJoHhLTNKnbMtrCI2Oc5OTWpeT/ZbOecruESFyMegzQBYXgY9KzNftftujXEe7ACFs/QZryC0+PU82uCCfSrZLEyiMThyX5OBkdq9juLiK60SeeFw8bwOVYHIPymgCj4UjWTwhpyOoZWg2sCOorldQ+DXh6+1xNTTdb4kDtDGgw5B4zmut8IsD4U03B/5Yj+Zrbz9fyoAjhhSCJY41CqvAAHFVtVlkg0m9lhz5qW7smOuQpxj8augg9DSMu4EHkEYIoA+RLXx74jsdbivbjV7oM8qm4i46ZGQR+FfUdvqkGt+FG1K23eRc2zOm4YOMGuP174N6HrmvJqvmPbNu3yRRqCshBGM/gMV2tzaQaf4dubW1iWKCK2cIi9FG08CgCt4OGfCOmc5Hk/1NSaj4W0fVCWurGKSQ/xkciq/gVi3gjSWPUwZ/U10VAHEzeD9Q0+MnRdXnhGQTCAqqfxpTrviHR1jTU9NjliXgywuZHYeuMV2tNYDNAGDpvi3Sr+Xy0eWBiM4nj8v+dbUc8Uo/dSJJj+4wP8AKs3UfDmk6oCbyxikc9yvIrEbwbc2CltH1a5tvWBAApoA69nVVLMQqjkk8Yrl9W8Wosz2OlRtc3p+UEAmMfVhXPi58Qarra+H7y6NsqK2+WFtxkA65BrrNOstE8NqltHNa28zjq8gVpD64J60AZemeFJ7uQXniKX7VcDlYidyp3wD6Vk+OPifZeCru2062gjmnJG9OQEQHB6fhXo/X86+b/GHgHxDrnxYuUigzbXNx5ySMxCLGMbvx46UAema7fx+IbTQ7+1U+Vc7JF3cEDfXoy964DUbOLRb/QtIh5iihIUnrw3+Jr0CgDC8VnboUjdcOpxVSy1ddP8AAsGouhbZbFwoHBIBIH6VZ8X5/wCEfmwMkEH+dVdDs4dS8CWtpKcpLbbDgZK5yMj35oA878J/HNtW1uG01bTrezhnXCSQMWYscYBB+te1DdnGOK+d7f4Ha/aeK4njkifSoJ1eOYzfvCoIPINfRS9KADOOKN3sfyrm/G3ib/hEvDc2reUJTGyqEOcEn6Vwvgb4yv4k1tdO1SxtrNpATG0bE5/E8UAdj44tN8Fnd7iPLuYlx65cVv6npdprFk9newLNA/BRhx9ayPGZH9iQ54/0yH/0Kuk3AdSBQB5/4d+E2i+G/EB1a3lkkbDBImUBVzj/AAr0AHjgUHmvnfx38SvE+n+Or20sJmitbCYp5QfCyDg80Aen/FnVdS0rwNPc6U8qXHnJGWiGSFOc1458NviJfaZ4tgttT1S5uLCXMflkBvnOAOle4eFdbs/H3g+Ke5hRjMn+kQ9kY54rC0b4NaDpHiQ6urvMgyUtnQbEPsfrQB0fjY/8SO3PTN5CPT+KukeJZUKOMqeo9a5bx+Wj8P2/r9vg/wDQxXWigDm7/wAF6NesZFtUhnPPmqCSP1rNk8P+ItMlRtM1ea5gTpBcMFX6cDNdtSYoA4seLb6wl2a5pZiQdTbK0v8ATFbmn+I9L1CLdFcqmP4ZiEP5GtV0Dgq3IPUGsG/8H6LfkyNaRpN2lAOR9OaAN1JUlUMjKynoVIINR3N3BawtLPKkaL3dgP51yU/h7WtKiaTTNXuJoo+RbyEKgA7fSs3R4L7xnPcyatctHbW8gVrZG3I2RnvQBfvfEN/rjmz8Owupzh7mQbMc87Tg5rT0nwvaaZ/pt6RcXuNzzvwR69OK0rCTSrUjT7GW2V0H+ojkUso+mc1NqkTz6VeQxAeZJA6Ln1KmgDzef4y2EXjZdESENa7vLadQdwc4xgdCOa3rSJm+JEkwXCojrkfhXkPw3+Gus3XjB7jVojDa2TDzHJ5aThlx6j3r2PSJvN8c6iuAPLdl+pwM0AdkOa43xrMYL7TnUZJkRfzauyHAriPHgIn05zwomjBP/A6AE+JfjS48F+HheWcKSXLyKFEn3QCfasP4b/E9/GV3PpWpwRx3uGKCMHaUxk11vjfwrB4x8OS6dI5RiQ6Op7g8Z9q8/wDhn8KtW8J+KP7W1OaFyiOgEbZzuGPzoAv678FdN1XX5NQjlkhimkEkkQxjORwK9L0rTodI0u30+24hgQImfSrijArzb4o/EW78EPaQWNtFNPcpvHm5wADjt+FAHpR5rkntFt/iNaSA5M1vKxrJ+HHxGPjGKaK8RIb2M48tehwMnFb14R/wn+ljoTaTfzoAteIvC+m+J7H7NqEKvjgPjlfpVLwj4I03wdbyxWAZvNbczvjPTFdQDzijI9aAADFeHfHnUdVtL3TIrW4nhsngZpWThd+7j8a9yrI1/wAO6f4k057K/iDowGGxytAHkfwN8aXF/Nc6Hf3FxPOxLwu/IRQOn869KvSD8QdKHc2U2B+VV/Bvw80nwWszWYaaeU582UDcOOn0qTUCR8TtHGePsMx/WgDp5raG5QpNGroezVg3ngvS7h98CG1fruh4Oa6MdOaMUAcUmjeJNImklsrwXidkunzx+FSReL57XMer6dOr5+9FH8g/GuxxUU0EU6NHLGroRyG70AULTxBpd5GjRXcWW/gLYI+orT3AjIxj1zXO3ngzSrlzJFCLaQ8l4hg1harY654btZLu0v3uYUGzE78gH0oA63V9dstHh33Eg3HpGD8zfQVy5XWvFlwjgvZacOwyrsPen+HtGgurG31zWJ/tDyJvxMflj69PyrqtO1LT9RhZrC6huI04JicMB7UAZdwuleDdEmvSqxrGvL8ZY1xngj4qHxhqV/p72/lny5HgIXHygd/frW58VtGv9d8DT2enrmcSpJgd1XOa5H4TeBLvQNIvNb1RNl1LE5hT+6pUg5/KgDtfAkDRR6k5AAknUjH+7j+ddnXJ+BJDNpEknA3MDiurHSgBaKKKACiiigAooooAKKKKACiiigAooooAgubaG8t3guI1kicYZG6EVzdx4HsRMZ9Nlk02Q9Tbjr+ddXRQBxDDxXoau4KalBHyXmkO4j6Crll42s5cRXtvcW0x67omCfgTXU4qre6ZZ6jEIru3SaMdFYdKAM3WtO0vxZo82mzTRvFOuMxsCV9xXMeEPhHpPhPWG1NbqW7nH+r81QPL+la0/geGKVptIvJNNbHCW6jGfxzVc3fivRIy1xbQ3tuvWQyFnI+gFAFjxISPFnhkH/nu/U/7Ncx8Z/Emr6BZ6aNJvpbOS4dlaSPHpx1FW7/xTaal4k8Pu0U1uYJmMvnRlF5HYmum8R+HdG8aaWbS6aGTHMcyEMUPqOaAPOvhF8QdQ1q5l0fWbh57gACKcnLP6546cV22tfDXw9r2orf3dnG1yDlnK8vz3qn4K+FemeDb6a8jvJr2R8bTKgGz6Yrvx0560AQ2ttDZWyW8KBI0GAoqbcK8p+M/inWPDtrp8Wk3L2z3JYNKhwRj9KzPhB8SLvWrmTRdZuZZ7sY8mRuS/rn0oA7zXj/xXPh3/tp/KuurktcC/wDCa+Hs8H95gfhXV5A470ALmozMisELAMei9z+FEjYRiOoBPTPSvmTxz4q8QWnj258jVLiDynyiHAAGPcUAez/Fm3ubrwBex2iO0pK58tcnbnmvnXwdr93oHii1OmxMzF9kiKOWyQOlfSfw+15vFHg60u7tS00iFZcjhu1XLPwH4XsdQGoW2iWsV0DkShfmoAk8Tvjw47v1JUmrvh8htDtiOPlrN8bO0PhqQqf+Wij9a0vD/wDyA7X/AHaANOkINLmigCrf/wDHhcj1iYfoa5vwDG8eincpAJBB9RXR6mdum3TdhC5P/fJrK8GP53g/TZP70Wf1NAG+OlZup6Fpusbft9pHOVBClx0zWkOBzS0AcY/g++sFLaRrFzCB92AbQn6ioz4g8QaI6R6rp8ckJ/5aQFpHP4AV29NK80AYeneK9K1A7VlaFu6zrsOfxraSVHXcjqQe4OaytQ8MaPqbvLdWMUkzf8tCOQfWsR/CuraXHnSNXnZRz9nfCoaAOyJzn2rkvCR/4qHxX/2EF/8AQagfxPq+kMset6Yoj7SW+6TP14xVfwbrFlPq/iOYTCFLi8Dx+bhCRtHrQB5X498feJ9O8c6lb2Gr3EVtaXG0QBgFcAA4r2TwJ4o/4S/wvb3xzHchR5yjkBvrWT4u+Fei+Mrz7clw1lO335rdVYyZ7nNdJ4T8L2fhPQ4dNsyWCAB5GABcjucUAbw4GMk+9BbHUcUnTge1fN/xC+IXiiw8b6jb2OpTW1tZT7FijbAk6HmgD6SPSuS8JjPiDxX/ANf4/wDQKT4feLovF3hmK8zi6QYuF7K55wD3pfCm0eIfFJU5/wBPXP8A3xQBuapoun63bfZtTtIrmDIOyQcZH40aZo2n6Ham3020jtojzsj6Z/GtAsAMmsbxPdT22gXctsXEojbBTkj5TyKANZJo3ZkSRWYHkA5xXhfx/t531LSp5EdrBLdvMwCVL7uAa4Tw18QPEGma3DO2qz3UUkyJLG7ddxAJ4619Q3mn6f4g03yL61W4tZCCY5V449qAPDPgX4hvzr8ujBGNi6M4xkrGQBgZr1bxQ4XXNN3A5xnHX+IVraN4V0Tw/v8A7J02C03nLeWOprD8Usw8WaTGT8pQn/x8UAdqDxXP+KfGWj+D7JbrVpmRGICrGu5jn2roK+ffj5YahqHibRY7a0mmUwMmURmAy+OcdKAPcNF1i017SbfU7F2a2nTem4YOPcdqyfHal/Dm0cn7RH/6FTvh/pU2jeBdIsLlAlzDbhZAPX/9WKb47m8jRLdyP+X2AD/vqgDa0ZWXSLZWBBCYINXiM8EZFIvAxTqAOOvfCV5De3N9pGq3FtJO+9ol27SePUUz+2/EWjgDU9OhkgB/1kDl3I9wBXaU0rQBhab4r0vUCYw7wuOCs6bOfxrWfyru3kjBWSN1Ktg5yDxWff8AhfR9SZ5LqxieVv4yORWJJ4V1TTUMmj6xPlTkW7BVQj8qAPLPEXwT1t/EMz6P5C6ZNMHIaYKUHsD1r2ay0z+wvBH9miQyfZ7R03nv8p5rLPiTWtJdU1fTF8vs9sWkJ/IYzV5vE2mapo975UzRMYJMrMNhztPHNAEfhO4Nt8OrG54by7NpMHpxuNec6T8d5bjXIrXUtLt4bGV1VZ4yzHJ6H0r0fwhbrefD3T7ZmKrLaeWxHUA5BrxzU/gf4gh1xF04wTaWsoKvJLtdVHtQB9DRymZFeIq0bDIOc/yqbpVDRrBdL0m3sVkMghXbuPfv/Wpr64FpZXFyRlYomc/gM0AWd31/KqWrEHR73n/lhJ/6Ca8b0z49Nda9HbXOmww2EzbI51LFiSQASO1ew37rPot20bqyPBJhgQQflPcUAZ3gT/kSNI/69x/M10Vc74HBTwTpK4ziADj6mugDev8AKgB1MJI/SnZFIwJBx1xQB83eO/Hniex8carbW+sXNrZWk5RYoyMNwK9a+GfjI+L/AA4JZcm6tiI5ye7dc/lVbxn8JtJ8YX63rXMtjcc73hRSXJ7nNbng7wdYeCtJNjYkvvIaWRgAXIGMnFAFGySJPG95My5kjDAEHJAxk14R4u1i78R/FdEiEsotb1RGgBJVAwJ4Fe6aUyzeO9TBUZV2UnHX5RWjZeCNC0/xBPrcFjEt9MxPmgcrkdqAOjHzDg0pXLZoBwOe/vVS61Sys5UiubqCF3GVWSQKW+gPWgDlPFQP/CW6QSP+Wbc/8CFduK5XUhHN490qCQBgbSVtp9QetdUowKAILu2S8tpLeQZR1Kn8RXHr4Y1vRUjGkapLcRqOLeYhUH6V3FIRmgDjF8W6hpshj1rTGjUdXtg0lbun+ItM1GFXhuUUN0WQhW/ImtR4w6sCByMGuev/AAXo92paO1S3nPPnRj5v50AWPEmiWnibQp9PuEWRHXKdDzg4NeK+H/gt4hs/EtvJezRx6fbncjrKGbgggbffpXqLaJ4k0iSM6bqcl/EBzHdOEUe3FLF40mspTFrOnSQuDg+RGzj86AJvH5ZfD9sec/b4P/QxU3jnxPJ4R8NyatHDHMyuqBJGIBJ+lZXjPWbHUvDds1vcIf8ATrc7SwDffHatnxn4ai8W+G5dMeVo9xEiMuPvL0oA4zwD8Xf+Eq1d9L1Gzhsro7mi8tiwZQPU98npTvHnwkt/FeoNqFrL9luHP7wIBiQnHJz3GK5Xwl8HvEVh4ugu9VkiSyhBIkjm3Oe4GOle+oDt560Acx4H8JQeD9AjsI23SkAyvgDcw78V04Nc3448Ujwf4cl1ZohLtdY1Vs4JOfSuN+H/AMXh4s1h9N1G0gsrghnjCOcFRjue/tQB1fxD/wCRetv+v+3/APQxXWDpXJ+P1Mnh63HAP2+3/wDQxXVg4yO4oAXNGeemaQ5P0+leR/FD4j6r4Y1S3stNto3V1JZmYjvjFAHqGqTtBpN5PHkPHA7KR2IUkV8w2PxR8VWl/Fd3esXU0bEFrUsCoH5fWvc/h/42i8daPcNNDHHPC3lTxDkHPp6jFc/q3wK0XUdZe/jv7i1ieQObaJBsPI4+lAHf6Xq0Wu+F49Vg4iubcyL1HY+tczpl7HpPhPVb1AQ+DynJ3bTzXVQafBovhs2NqgWC3t2VFAwMAGsDwdawal4cuIZ41eKbhlPTkYoA8c+Dd1dav8VX1SQSOJIZfNk2kjJAxnsDgV9KjJH5Vh+HPCOkeFrZ4dKtI4BIcyFRjccVvdO1ADCOCfr2ri9E48e6qTxmVv8A0EV1Q1Owku2s0vIGuQDmJZVLD8M5rD8OiKXxB4hcqGkiu9oPplelAHVCsrXNEt9csvs07FAGDB1HIxWoKXFAHFDRvEekyMdPvftkQ5C3UnT2FOh8Zy2mU1exmjcHG+OMlQfrXZYqGe2iuojFPGskZ7MOKAKlprWnXigw3cTE/wAO8Z/KuY+I/gZPGmkqkIVb6LHlSHjAznGa1L3wZp0zq9oXsHHVrfgms/7F4n0V3a1mS9gXoZ5PmI+lAHL/AAw+F+peFNYl1TV542nAKRrE+4EFcZPvXX6gSPido47fYZjj8aba+NI4yI9Rs7iBz/EIsJ+ZqvLqFpe/EjR5bedJF+wT52kHHI64oAy/id8RNQ8FXVnb2FrBPJcRmQiXPABx2/CtD4dfEFPG2lys6LFfQHZJH23e1QfEz4fP4zigurOYJqFshSIMcKQTnk1l/Cv4bal4Ru7m91aVPtBOESJsqQRyaAPVIySnzYz7U7IBxSL06Y5rzf4n/Ee68ET2drZWsc9xcxmQCTOAAcH+lAHpORXJaj/yU/R/+vCf+Yqh8OfiDF44sJTIscN5AQskQbrwSSB3HStC+Un4laO2cYsJxg/UUAdbRSZozQAtcF8XNVv9G8Cy3emyvHcefGgdDggEnNd4DmqOq6Va6zp8tleRiSGRcEHt70AfOngb4l6ppXiSC31PUbi+gnbyz5jA4YkAV714tK/2E277vmKP1rj9H+CGhaTrCaj9ruJzGdyxSAbQa6rxw/leHMkdZ4x+tAHFfErXH0X4X28VqWRpQi7x02kkEGqf7PlrPD4d1WWSJ0jnuUaMsOCu3BI/GvQm8P6d4i8MWdpqNsk0IVW2sM9DWxYabbaXZRWlnCsUEQwqqMCgC0oyuehNV9QGNNuu58l//QTU0kqQxtJKyqijLMeMCsttYsNS0q+ksbuGdY4nDGJw2DtJ7UAZPw9BGhEH1X+VdcOgrn/BiofCmnzIAPNiDMfXrXQDgCgBaKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigApCoNLRQBm3+iabqjKb6zinK9C46fSsGXwZJaM0mjapcWPHEEeNv612FGKAOJOq+JtFVTqFhHcW4/5aRyF3P4AVq6d4v0u+YIXlgfuJ0KYP41vlc1mX/h3StTcveWMMzn+J15oAz/FHhjSvGmlNZ3LIWx8k0eGZPcVgeDPhLpXg3Umv0vJr2f+Bp0A2fTFaMnhC/08GTR9VnjweIPlVD+lRnxHr2jsqarpytF3mgJcn8AKALOu/wDI7+Hv+2nb2rnvjH4u1XwzpMCaXujecHM6tgpVy78QWGqeMNBmid4lTfv84bMZHvXQeKfDNh4x0OWxncYYfLKnO36UAea/Cr4mX2s6hFomsSPPcSAmKZsEtgc/Sut8W/CjRvFt6t5LI1tcZy8kaAl/rmsfwT8IE8L+IU1WXUp5jBkQoVGOf/rV6uOBigDJ8PaDbeG9Gh020/1cQwDjGa1xRRQBzXjv/kWZP+uqfzrR0BsaFan/AGazvHQLeG3A6mVB+tcR8TvFU3hPwNbafa3MttqVwo8t0HRQecmgD1QMJwrxygoehU5B/GpweK8l+BeqaxqeiX76rc3E8ayL5DTL/DjJx+Jr1Ce8hs4DLcSqigZO447dqAG6m4bSr0A5/cP0/wB01keA8f8ACE6XjH+q7H3NY11quo+KnNroyvDaFsTTvlWIB5A7Hiut0XTU0fSLawjdnSBdoZupoA0KKKKACiiigApCMmlooAaVJ/LFYN74O0S9d5XsYluHOTMAd2fXrXQUUAcW3h3X9JC/2Zq810g6QXBCr9OBQvi2+02YRa3phj7brZTJ/SuzIzTXQOpU9CMEetAGXZ6/p+oJuhuFUkHCyMFP5GuQ8Y/CnRvGV+t8Lp7KY53yW6qxkJPU5ror3wXo10rNFax285ORNGvzD9azn0bxLpD506/a+hHSO5fYB7cUAaHhDwjYeDtFXT7Il+hkkZQDIR3NVvCZ/wCKh8VZ5/09f/QKgg8ay2soi1nTpbd+hMKF1H41F4M1G1n1nxJMsyBZr0NGHYKWG0dqAPMviX8SPEmneM2sNPnltILV9oERwJcY68dOa9M8AeLF8d+HZ/PTZPCRDcqOhJGTg+4qp4/+F9l40nivYrhra7iXho1U7+c85rS+HvgePwRpVxbrcvPNdOJJSwAwwGMcUAYZ+Cegf29/acc0saCUSrbhAVBBz/OvTVURqFVQPYcU4f1ryT4w+P8AVfCl5p+n6YiA3MRmaUvgja3QUAethhiuI8V/8jhpH/XJv/QhVL4ZfEF/GdlOl5FHDeQNsKqxO4dSa0fEVvJdeNdIjRckQsxz6BhQB2DyLGNzMqjOMscVEIA8vmP83PAI6f54rwH4zePL7/hJYdI0bULi3FtlLhFxgyBgR/SvY/Atxe3PgjSZ9ReV7x4AZWkGGJyetAHRZCj6VyfxBYN4et8YP+n2/f8A2xWxq2uWOj27S3L57BEwzMfp1Ncytjqni67iluy1rpUbiSOIdXIII3KelAHdr0paaoIGDTqACiiigApCKWigBhBP0/KsLU/CGjap5rT2MPnyZzNtywPrXQUUAcOvhbWdDt400bVZp0QALbzFVTH4CpF8Wajpsvl61phj7brVWk/lXZkZprIGBBAIPBHrQBlad4i03Uot0Fyqn+7KQrfkTV24hS+tZ7csNk0Zj3Kc8EYNY9/4N0i93SJbpBck589ASw/Ws19D8RaWV/s7VJL2Mf8ALK5YKo9ulAHkWrfA3xCNa2ab9nk05JBskklCuq/Q9e9e4WmlDRPBJ03zGk+z2jpvbGT8rVmR+NJrKXyda0+SBxwTbozjP16VrT61p+oaJetBcx5MEnyu4DfdPbNAFTwdOlr8P9Nnk/1cdrvYgcgDJ/pXn8Hx4gbxK1nJYRjTt+xbgZ3H3Ir0HwdGlx8P9MiYjZJa7CfrkV4h4q+EOu2fiO5k0q2glsp3PlbnwQCMDI/OgD6Lt7oX9rFc2jK0Eo3K4OcirgrA8F6Tc6F4N0vS7sqbi2hCOVbIznPX8a6CgApG6H6UtI33T9KAOH0M48e6ue3mt/IV2zMQM47d64nQwR431qU5EaStubsOP0rhNZ+Mt/a/EM6TZ2ltLZR3Attwlzv3EfNxxQB7cjs65IA5HFfLHjq71HV/jJPZu8s4tr5Y4UHJRcqT0r6oJOD1yAcVzV5onhjSdTm12XT7VNRc72m/5aN+f4UAVp4vI+I+iIzFiLCYZP1rsl5FcPpEl74g8Wwa39l8myt4HhQuSGcNg5wa7gUALRRRQAUUUUAIQCeaZJCs0bRyKGRhhge9SUUAclqvgDRb+MeRCLOYMGE0S5bOfeq507xRpEu6yu/7ShAPy3Uu3A+grtaTBznP4UAcfB42SFvK1Sxnt5R1aKJmX8yK6O01SyvIleG5ibd23DP5VPcW0N1EYZ41kjbqrDg1zl34G01pFk08tp8ndrccn8zQBN408NxeLfDsulySFMkSIwI+8ucV434Z+C/iW18VW91qckMNpE4cyxS72ODnGPfpXqZg8WaMzGGRdTgT+K4k2nH0FTWvji0LiG+tbmCY/wDTFtn/AH0RQAfED/kXrbti+t//AEIVo+KvEVt4W0GbU7oEomFUYzliDisXx1qFpd+G7VoJ43zfW5wHGR89bXirQIvEnh+506UcuuV/3gOKAOA8E/Ge38Sal9h1K2hs5HOIirEhvqT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"path": null
} | "$\\boxed{C}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Four identical dice were put together to make a tower as shown. The sum of the numbers on opposite faces of each dice is always 7. What would the tower look like from behind?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "descriptive geometry" | MathVision |
483 | You can place together the cards pictured, to make different three digit numbers, for instance 989 or 986. How many different three digit numbers can you make with these cards?
<image1> | {
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} | "$\\boxed{12}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "You can place together the cards pictured, to make different three digit numbers, for instance 989 or 986. How many different three digit numbers can you make with these cards?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorics" | MathVision |
484 | Andrea made the pattern in the picture out of several identical tiles. None of the tiles overlap each other. Which of the following tiles could she definitely not have used?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{D}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Andrea made the pattern in the picture out of several identical tiles. None of the tiles overlap each other. Which of the following tiles could she definitely not have used?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
485 | The picture shows a Fortress made from cubes. How many cubes were used to make it?
<image1> | {
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Jt/MsdHDYd2+V5B7GjwrodhY/EnVIYIlHkWULLxznPWgD0oUtFFABRRRQAUUUUAB4FV7q8gsoGnuJFjiTksxpL64+yWFxc7dwijZ8DvgZrxDSPGVp421Xd4jvhY2SnMURbYG74PrQB3V54t1HX7h7Dwzblk+69265Rfp71Zsfh7ZC0f8AtGaW5u5TueVmztP+znpXSaTDp8djG+mpGLeQbg0YADVfHPSgDgpPC2u6DL5ug6j5sa9Y7ti35VNZ+O5bMiHX7Ca0cfeuGXbGfpXbnqOf1rkfFHiTSLYmykt49QvTwluFDNn1IPagDoLPWdO1G3e4tLuKaJPvMp4FctqnjK4vbqTTvDsBuZh8rTgZRD715lqNjqWlaxDcai8sFheZke3tiUK4PQ9hXrPhTVPDctrFb6TNAJWGWjGN5/3uOTQBHp/gqGWCOXW2+2XRU795LLz6A1g6z8J7di8ukXDxTPztkOVH0Femj07/AF6Ud/60AfPOpaDrmiylL2ykljXrNGvyVDoV/bxa3BcSOFjjB3n0r2LxH4s07TWNgI/tt44x9lX5m/EdMV5tc6BeLrdrf6nbwxQXLZ8mKPb5Yz0PbNAHTzazq/ixxaaQjW9kcK9wwPzf7prcsPDNloel3LoDNP5TlppeWJwe5Fblnbw2tskdvEsSYGFUYA96bqChtMulP/PFwOfY0AYXgCdbjwfZyLjad2Mf7xrpgOf/AK1cl8PFjsvAdmGIWJA5LHoBuNVdT8WXWpzvp/hyIzEHa9yATGv4+tAGa/iK18OeMNa3uJZ7llKQofmOBVu30XWfFN3FeaxI1taKd0dtGSuR/tetZnhfRBF40uv7SCXF1Gwy5APOM8GvUAOwH0AoA8j+J1jFa6voK20CqgVwdgxn61yFxZ29wDviQse+Oa7X4sOV1zQgrEKVeuS46cg0AYzaRPatvsbhs55VzxVOfU7m31G2+2QDgn5gOK6WsnUY1fWNPV1DD5uCMg0AXba/tbkDyplJ9O9WazbnRreU7o90TD/nnxVZV1PTj1E0Q5wOWoAlvnU63YLkFgTxWt2+vXNc4Ly3fVYJ7hHgbPG+uhSRZE3KQVPSgBwBPBPFY2p20M2pWSuVBdjketbPHrWRqKBtZ01mH3WOPyoA0rS51jSXR9N1CbCHKxyudo/Cu00f4v3lmWj16weXoBJbrhR9a5D2OPxpGVXBDgN9eaAPbbHx94cv7bzU1OBGxkxs/wAwrn5dd1nxjcS2ekRG303O17phjd67TmvFdbtEQRR26CIyHBMYwa6TQPFfiPwrZpb2TQSWvBKMuW98UAe46D4asNAthHbxhpSPnlblmPuaq+Oo7f8A4RG/kuEUqkfVucVz2gfFvS9RmS21CGSxm6F5sAE+1aPjrU7LU/h1qk9lcxzxGP7yHI6igDxPScfYsDGN5IHoKuugkXa/zD3FV9Ox9hjwMcVaoApnToklEtu72sgOQ8B2YNdT4CsrjxFq9za6vfTXVvZoJESRywfJwd1YJ5GM4rt/hYoF3qDhRuKAH/vrpQB6VBBHbQrFCoRFGAAOK5vQ4k/4WZrkyupLWcKkD2NdOTgHtxXGeDJEn8ca3NG4f9yiEjsQ3IoA9DooooAKKKKACiiigCjrf/IB1D/r2k/9BNfMWk2cM2iWgljUnZ1wDX09rAzol+PW3k/9BNfNGiArpsaE5CjFAF3Tr3WvD86zaTfvhM4incsv4Cu70b4xeUixa7YSpJ0a4QBYx+FcRUN0ivbSbkD4UnBUelAHqV34k1fxU/2Xw8hgsjw104yHH+yf89K2NE8K2OkDzmUz3R5aaX5mz9T2qv8ADpQvgPSXVAjNDzgYOcmuo4Hr7c0AcF478r+3NIWUAoeDnkcsK6HU/A2k6iFlhVrOYL8r2x2fyFYvxBVWhscqNwnjIbHT5xXQa54tstGh8qM/aLvosEf3jQBy923irwXatM11Fe6crDgrukC9+Saij8Z6n42BtfD9u1rEPlnknGSCewI6etWYNB1jxVKt54gnaKDG6O2iypUf7Q6VP4NtLex1/wARW1shSNLhQB+FAGnoPhWz0dPMbNxcsctNN8zZ+prJ8d7vtGngMwG4ZAPuK7bqcAVxnjyNgbOf/lnG43MeAORQB2Mf+rU9OB1+lZPiDXLHSNPlN1OkbshCqxxniuc8RfEKy01VsbGRJLplx5mcqn1FUdC0/TdTiu9SvNSj1G+aN28tWyinaegOcUAQ+FrPWfEGmQx3UsUGkrnaIxtLjJ5Br0LTNLtdJtRBaRBARyccn61hfD2SN/CFmquGZNwYd85NdSe5z070AcZYKP8AhP78qwLEjIJ9q7GSVIk8x2AVecmvObjXLPQ/HGpSXDje7DZGDhn47VftNM1rxndLcap51hpg5jgB2SMPcjtQBy/xGW98TavbHR9Pnul0/IdosEHPpXIDUY4pfs94jWs64BjlGGr6TsdNttPg8q3jVRjBO3k/X1qhrHhTRtbtZIbuyi/efekRAH/PFAHhAIIBHNZ93MU1WyTAIbdziu/1f4P3NrI0vh+/2RDny7hi5PtXnmr2OtaTqlrLqumzQRR5HnFcK30oA1MD9KTHFRW91BdruhkDjvjNTEHpgg+4oAwr23juNZSNxkHvipH0aa3bzLG4YEc7XOR+VPlb/ieRAitagDEGqXVqSL23ZsfxrgCiS8tr7VLAwTK5DH5R16VssiuNrKGHoRmud1Cwil1SFEjKID87LwRn3FAHRk45xx6d81ZsdK1TV43l060kmjX+JRw3sK6Hwf8ADu81NY7vVw8FtxiBuHI7c+hr1+xsbawt1t7WNY417KMZoA+Zdbtry1ubdb61ltXVuVkHJ/Kr8bhowc549a+iL3SrG/B+020MhIxlkBNcJrPwqtJS9xpU8kFw+TiR8p+WKAPMZIIpceYiE/3sD5adp3hXVdcb7HpjXnkTnazb/wB0nuRVnxBol94WvLdNZUvYSNiSeJdoI+te3+FotOTQrc6YuLdlBDE5J+poA8Zu/BXiLQI442tzfIPvS264UfXNZAu497JIwSQHlG6ivpcoGBDDIPUGsHWPB2i6zEUntVQnq0QCn88UAeGEZHTJxnFd58Nfs1lpd5fzyCNSTvZugG7v6dayfF3gePw1bteWuqQxWwH+qnJZ29gexpngXw1da/p6zXN1t0wu2EjJUt659aAOhudX1Txlcy2ej5g00cPdkcN7Kw7074ZaTHpGqanBHOZvl5YsSc7uc+tdvb2cFlZiC2iSOIDhUGB9eO5xXO/DO3j/ALFursHMr3cyMfYOaAO5ooooAKKKKACiiigCnqoDaReKehgcf+OmvmLSXjhuLi0EgLK2FH4V9R3ESz28sTfddSp/EV8za54ctYfFWt2qynENxtUIcEcDrQBc/wAnHamSgmGQAc7Tj8qxgNV07Cj/AEmFRwqjkCrEWt2kqMsn7mTBOxuuaAPbvh5P5vg3T4tm1o48H35NdHd3ltY25uLqZIoB1dugrzjwv4qsdG8MJEGE984AitkPzt16fpWtbeHNX8WyR3fiJ2t7VeUtE+Rsf7XY0AY/iTUbzxjcC30OyluLWE/Ncxkbd3UY6VJ4dnsNDBl1+wubOdj+9ur5wy5HTHoK9QsrC3sIRDawpEijHyqAT9aW70+1vYWiuII5FbruUGgClaXttfQLNazLLGR8pU8EfjXK+FJjJ4x8WIVwEulwTwG+XtTrz4fSWUxu/Duoy20+dzLcSNIh9gvauTh8T3PhDWNVh1C2M2o3bb96ABcgdQD0FAHqGparZaRbG4vZ0iQDPzHGT6V5br91f/Ee4gsNIimitEP7yXJwpzxnkVyH/CU/2/r+7xF5psVf94yNtXHY/lmvevCl34fudP2+H54JoEwGaLqT7nAzQBR8M+AtM0SIyTILq7kA8x5cOM+2RRq3w/0u+cz2xltJ8HHkvsQ59QOtdfnmjNAHl9vZeKfBf7uG2Gp2I5CWyAMo+po1D4lIUisrO0kiv5DjD4PlnPcd673VtZ0/RrRp9QuEhjAz8/f2+teW65HqHiyKW9trOPT9OTJDGJQ8vuGFAHW6B4HRbxdX1ryrnUG+b5V+T8Qa7ZV2gAcAD0rnPAbySeEbIySM7AEbmJJPPvXTUAJiloooATFV7iztrpNlxBHMvTEihv51ZooA888Q/CbRdUaW5s99peP93Y2Ix/wGvP8AUvA3ivQJQEtv7TiA/wCXZMYH4mvoOm7eMdfrzQB8nNdL/bMTSq0LZIKt1B9DXQfQjpXueteDtE123MF1aKo7NCAjD8RzXmusfCLUdOaS40G/Dwjn7PKWkkb6EmgDlunOefasa2uNQtfE091ZNCzQ7SEnQOp/A1oXjaloriPWtNmswTgSyY2n8qoabNHcazeyxnKsq4I6GgD07Qfi75Ijt9d0+SIjg3KhVjUfQV6No/iPSNfjZ9LvorkIMtsJ+X8xXgEkaSjEiKw9CoNVW08xv5tpc3FvLx/qpSqn6gUAfTzHA/r6Vyvifxlb6NILG1jN1qT4CW6DLAnocV5no3jHxjLd2+jLfWh887I3aHJHHrmvR/D/AIWg0j/Sbj/SL9vmaaT5ipPoTyKAON8R+H76bw5f61rs3m3YQNFF0VMnoR0rT8OeLJvDOj2tnrOlXNvGfmFycCPBAxgVvePNv/CGX4LbVCg5Jzj5hXQW1tb3OkWqXEMcqeSmd6g54HrQA3S9e0zWQf7PvIrggAsE7Vm+JPF1roYFuiNc37/6q2j++x7V5x4z/sQXkg0Rbo3aE+dLazFI4vTcABXTfD/RYDpKarc5uL6RiPMkJbGPTPT86AJdL8PXupTtqfiGQTSMN0cHZPYjpVj4eiJfDbiFNiC7mwO33q3tTuvsOmzXAXPlrkD6muf8Astt4VeWZgi/aZXY/wB3JoA6xyNhznofp0rnPhrCkHhmZEbd/p05J/4HXO634lv/ABEJbLw+uLRPlnuwMqfUA5Bz0rovhknl+D1XOSLmXJPc7utAHZ0UUUAFFFFABRRRQAhr5z1sbfiB4oIPW9B/8dr6Nr5y8RosfxD17DD57nOM+woAgwPQfSq11Y29whLxruHIIGCSKtd6CMgj1FAGX4fv9a0XU5Luz8kqH5imjDn8CeleuaN8XtLnmFvrET6cwGDLMflY+2K8i0ri/wBRUHKrKBgnpxWhLbxTqFljVh/ujI/GgD6Osr621C0jurSZZYJBlHXoRT7m4itoWlmcRxryWJ6V812b6nodyLrSL+WN1B+WaQuhHoB0FTjx5f6/qsdv4n3tp9s22V4AYweQecZ96APUr3xXqniG/bT/AAxHmBTskvWXcnv6EVqaL4IsdLtZXmH2q+mU+ZNMd43EHkZ6dateGdV8O3tmBod1BLGoAYoME/XgZroc0AfNN5pi6b4p1iwk8uUQygAhenFVzYPBN9osbqe3lB3fLIQufcDFbXiXH/CwvEOCCfPXPt8oqnQB0Ok/FHxBpDKmr24v7dRgGBQhx9Sa7A/FCxvLG3Gl273Go3Cki2Qgsn1ry49Ocmuj+HDwr4lmhaJdxJ2nHI4oA63S/Ct3qV8NY8Ry+dcHmO3BO1B6MvTNbuvxpFoE8cahVCnAUY/StfP6VmeIJPL0W4YY+6etAEXgD/kT7L/gWfzrp65nwET/AMIhZ5xn5un1rpqACiiigAoozSZoAWisS98W6Fp199iu9Rhiuf8Anm2c/wAq1op4p0DxOrKwyCD1oAlpCue5/OjNGcdqAKd9ZW13A/2i3imAU43xhsfTNfNwt0g8QaisaBRu7fX0r6I1nWbXS7Y+awMrgiOPPLHFeCXWka3BdXWpz6PcR28rE7zjGM0AN/Cge/SoYrmGYfu2BOfQ1MevH4H1oA0PDOT420f3kbvjsa9zJ5rwjw3Cz+PdDdTgLIcj8DXsmt69Y6FZtcXcqq38CnjJoAzvHy7vBeoDBPyDPr17VjnVdS8WabbafpB+z2flok8xOScAdCK53xQPEPiizNzLE9ppwI2RMMNj1JBwc16npVrFaabbxwIiARLwoAB4HoKAOd1HSLTwx4PvPsUSGRUyzygOX59TWv4ZO7RIGCgE8nHAOcVR8eqR4L1IA87B9eopsuu6f4Z8P2aM26WSJfKiz8znA/Lv+VAF/wAT3lrY6DdSXYLx7D8itgtXnfhfTdW8WaaIJxJZaOkjMqMcNICfUH6H8Kva9ZalrHhe41bW3aFYAXgt+hA7bux6niu18LqE0G3AUKMA8DAGQKAItV0y1svCt1awFLaPy9pkwAT05JHen/D63W28LpGrbh50h3Y681X8eEjwRqvUEw9/qPyrb8O2UFhoVpFAGCGJXwxzyQDQBr0UUUAFFFFABRRRQAhOBnFfNnxA05j8Rr17eUxySOzZJ44Ar6TPSvEPidp8Vn45sZkfDXUEkjD1OaAOBXUb+yyLyBnTP+tUcVo2uoWt4gMMoPr7VZZVYYKqfYis660W2nYyJujk7bWwP0oAZpcbLqWpnHBlH8q1fxrlrae806+nUL9oUsd+PYfWty21S2nEal9rkcoQeP0oAu+vPasqxVJdR1FWRSBIOv0rVBH1HqKydLXGq6mc5zKP5UAWW08xyGa0uJLaXORscqv5Cus0b4leINFULqcX2+3QYxEoUgeuTWB06Gg8jGM+3agCjNrlvrPi3WNSUGIXcoZI25PTFXQc1hJplnd6jeK7/MGGFViMflT/ALNqWn8QSCaMdExlh+JNAG3ng10Hw/Ujxcpxxg5/KuKg1qLcEulNvKeNrc5rq/Bmo21j4iW6uJAkIVjk/T0oA9tZgoLMcY55+lcV4o8R/aom0nR4XvLt+HEf8H1qvNe6r45kFrpRa10w/wCsuj/y0Hfb0IrstB8NWGgWqRW0YL45duSfxoA4/Rda1fwhpMdpqejTi0i63AIwueTmuz0nxLpOtRb7C8jmx1AOMfnWnJDHLGUkRXQ9VYZB/OuW1fwDpmoStdW/mWt3/C0TbVB/3RQB1oOenNGcdq87kvfFXhQKbphqlpGOTGApA+prRsPiV4eurEzS3IgmUHdC2cg+lAHXzTxQRmSV1VVGSSa4XUPEmo+Ib1tM8OLiH7sl6Vyg9eODXM2niu1+IetG1k1JbWxVsG35DSc+teq6bYWem2yQ2iRqgGCR1P1PegDD07wLplvp8kFyrXEsw/eysxzn/ZPUVmyeB7/R5TN4d1J4gvIjuGaXP5mu9HX/ABoPT1oA4KLxrqWjBYfEGlyoAcNdrgIfwqzqfxE06NI4dI/068m4jiQ45/GupvjZrbO96sRjAyfMUHivDPGf2W8lfVvDto8S2jjddAjYecHAoA9K0Xwtd3N+NX8QT+fd5yka8Kg7AjpXYNDG8flsilO6lQR+Vcx4W8Xabq1hbQ/b45LvaFZcFecV1IdSMggjtg9aAOU1v4faHrT+c8JimXO0xHYufcCvPtX+HOuaWWawIvo85VI15A+pr2xnCgluAOcmuG1rxjcXl9JpHh6Lz7n7skw5WP36igDyexvbvTPFOnj7G7XkbnEIPJOK9R0jwvcanejWPED+bPndFDjCr9QcisGw8MRaX4106e5nWe8Z97nHAJBr1LOMgZxzmgDivH8iwWdpErbA7lQqnA+mK66z4sbcnAxGv8hXJeO4RJdaVK4/dRSEuScBeKTU9avtTjg03w8OZAEe6xkR8cmgCD4ieJ7a20e50y2kU3kigHK5Ce5H4VN4Y8IFGh1TWJku7xo12gAhFGOOPxrL1/w7aeH/AAfdoqme8uRhpWy2DkZIzyPzr0HT8jTLYdAIUyM99ooAxfHT28PgrUnuFzCsQ3Ad+RitS0uLe10S2mcrHCsCHnsNo4rD+I1xDD4G1ISMMtHgD15FYeiWWp+OLWzN7FJZ6LDGoWI5Bl4x1/X8KAH6nc3/AI+lfSNMHl6UcLcXRHEgzyB0ORxXpVnbi1soLcHIijWMH1wMU2ysbewhWG3jVEUADAGT9atYoAWiiigAooooAKKKKAENeL/F0BvHOhNkf8eco/8AHq9pNcD4/wDAU3i2e2vLW9Fvc2sZVMjIYE5xQB5UOecdh3o5yODUeo2Gt+HWVNXsJVQ52y8fMPoKSG5huFDRuP5UAZlurrrcwYDa5JwRVy60y2vFBdNrAcFSV5/CqY3L4hVWyN6sRnvitjsKAMQ22o6dhoJPOjH8Hf8AOq+naksWo3IukaCSZwdrV0fPqawFtYLrV7iKYAgt6c0Abquj/MrAj1FO+n59qxG0y6sstYTnZ18s85qWHV3iOy8hMTdMkdaAG2gA1y6IzywzWxgVi2c0UmrzMkgO85X3raNAEE9nBcKVkQc91GD+dYE1tdWmqW9vZyFYSd2DznFdMPWsy6ZhrlkAeNrZoA9K8PfFOysEgsdXshZIgw10MbT+AHWvStM1rT9WtknsblJY3+6QcZr57eJJFwyK2fYVBBb3Om3IutMu5beUc/fJX8s4oA+m935etZGveJLDQLUSXco3t9xByWryO1+LOs6Rp8kWqQefNwI5gAAPfH/163/Br6J4l1H+1b/VUvb3PyxNwE9sHg0AXhpGq+Ob1LrU2e00tCDHbA4Lj3Perfjnw3pkfg6fy7ZEMK/IUUA/icc13MYVUUIAFA429BXO+POfCF7/ALtAHztpOnwzaZG2GRwThkbaevqK6PSfE/ibw7hLW8NxaqcmJhliPqTWRoqlNMQHg5P860OfXigD0vQ/i5o96TFqqHTp8gBXOdx/KuuvvE+l2WnC8e4RkYZQA8tXgMtvDOmJEX3OOfzroPAGkW1zrXlTeZJHDjaruSPyNAHWfZtW8c3ZmvTJaaMpytvkqZfxHNXfGNhbad4HuoLWILGNg4AyfmHX1rrkVI0CooRR0CjpXP8Ajh408LXDSoWTcnAPPWgB914J0nVbW3naJoZxCoV4W24OOuBWBdxeKfBdsJIb1L/To2/1JHzAe7GuwvdesdF0eK4upVRfKUqoOSeOBXHf2fqfjZmudVL2ulqMxwA43D1z1NAEMPiPVfH3+hWMb2VmABLJ/e9cHIrstG0Oy0O0FvaxhccljhmY+pNc/wCAbSCyt7iO3cOgYjd3ODXZZzwMn2oA4S8lD/Em2jU5ZMZGenBrtL69t9PtZLm5lVI0GSxrz3WdQs9F8fT3903IVSBjODj0q1Z6fqXjO8+26oHt9NVsxWpOD7EmgDB8R6i/jTVNP06OKSLT5ZWSObJXzMda9O0fR7XRtOjs7aMbUHzFjlifrWDrmniLxH4ZW3hVYYZ3zjA7cn37V1xOeRk9aAOR8e3bW+mwxBlPmkg7h6elXdS8SWeg6TbPI26d418qIclzgVzPxHu/tlzp9lp58+8SQkxpyOemcf54rd8NeCTBJFqOtSC6vQAyg/dT2xQBBp/hu78TXY1PxArLbgBoLUn7vuexru4YI7eJYokCIowFA6VIBjiloAKKKKACiiigAooooAKKKKACkx70tFAEE9tBcKVmijkB4w6g/wA64DxF8JdL1OQ3Omv9hujzvBJX8q9GpCKAPmrW/BniPw/qP267tjPaW+U89B97PfHPpUUF9BcKSj455DDGK+l5IkkTa6qy+jDIrjfEfw00XXDJcJF9mvHOfNTgD8BQB5EDxkc/SsiMImvkAYZs966rWvAniPw4S8Cf2nbDkv0xXFx3QbxBFvDRZVshwVwfxoA6EGmSQxyoVdAQfanDGARzxS9qAOZmsXXVVis5PKIBIJ5q4uo3lmQl5bkr/wA9AKeVVdfTJ5YHA9a1WVWXDKG4xyKAILe+t7td0UgP6VTuz/xPrH/daluNEhlO+E+TJ2IOAPwrMnnv9O1O3Ez+aig4+XrQB0+c0e3aqdtqVvchQrgMRyG4q4MEjBBFAGVrOzZGHQMCR1+tTvp0TFZYy8UoHymNtoH4Cq2uHasW7jkfzrVTOxfTH50Aa+ieO/EuhSxx3D/2hZoPuAYIH15rq734g6P4q8N3NkJBbXsiEiJ+2PevP6qXdjBcRNuXa2DynynP1oAh0XA01RuyAzAH8a0cfl6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"path": null
} | "$\\boxed{56}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "The picture shows a Fortress made from cubes. How many cubes were used to make it?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "solid geometry" | MathVision |
486 | Johannes wrote the numbers 6,7 and 8 in the circles as shown. He wants to write the numbers 1, 2, 3, 4 and 5 in the remaining circles so that the sum of the numbers along each side of the square is 13. What will be the sum of the numbers in the grey circles?
<image1> | {
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"path": null
} | "$\\boxed{16}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Johannes wrote the numbers 6,7 and 8 in the circles as shown. He wants to write the numbers 1, 2, 3, 4 and 5 in the remaining circles so that the sum of the numbers along each side of the square is 13. What will be the sum of the numbers in the grey circles?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
487 | Sylvia draws patterns with hexagons as shown. If she carries on drawing in this way, how many hexagons will there be in the fifth pattern?
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} | "$\\boxed{61}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Sylvia draws patterns with hexagons as shown. If she carries on drawing in this way, how many hexagons will there be in the fifth pattern?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
488 | In which of the five pictures is the white area bigger than the grey area?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{D}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In which of the five pictures is the white area bigger than the grey area?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
489 | Father hangs towels on the washing as shown in the picture. For three towels he uses 4 clothes pegs. How many clothes pegs would he use for 5 towels?
<image1> | {
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"path": null
} | "$\\boxed{6}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Father hangs towels on the washing as shown in the picture. For three towels he uses 4 clothes pegs. How many clothes pegs would he use for 5 towels?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "arithmetic" | MathVision |
490 | Oli coloured in the following 8 fields in the grid: A2, B1, B2, B3, B4, C3, D3 and D4. Which is his grid?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{C}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Oli coloured in the following 8 fields in the grid: A2, B1, B2, B3, B4, C3, D3 and D4. Which is his grid?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "analytic geometry" | MathVision |
491 | Mike and Jake play darts. Each of them throws three darts. Who won, and by how many points?
Mike: <image1>
Jake: <image2>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Mike and Jake play darts. Each of them throws three darts. Who won, and by how many points?\nMike: <image1>\nJake: <image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "arithmetic" | MathVision |
492 | A Wall was tiled alternately with grey and striped tiles. Some tiles have fallen from the wall. How many grey tiles have fallen off?
<image1> | {
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} | "$\\boxed{7}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A Wall was tiled alternately with grey and striped tiles. Some tiles have fallen from the wall. How many grey tiles have fallen off?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "counting" | MathVision |
493 | Anna has made two $L$ shapes out of 8 squares. How many of the following 4 shapes can she make with both $L$ shapes?
<image1>
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"path": null
} | "$\\boxed{4}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Anna has made two $L$ shapes out of 8 squares. How many of the following 4 shapes can she make with both $L$ shapes?\n<image1>\n<image2>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "combinatorial geometry" | MathVision |
494 | You need 3 pieces to build this shape. Each piece is made out of 4 , equally sized cubes of the same colour. What is the shape of the white piece?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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} | "$\\boxed{D}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "You need 3 pieces to build this shape. Each piece is made out of 4 , equally sized cubes of the same colour. What is the shape of the white piece?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "descriptive geometry" | MathVision |
495 | A flee stands on the floor and wants to climb the 10 steps. He can either jump 3 steps upwards or jump 4 steps downwards. What is is the smallest number of jumps he must make?
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} | "$\\boxed{8}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "A flee stands on the floor and wants to climb the 10 steps. He can either jump 3 steps upwards or jump 4 steps downwards. What is is the smallest number of jumps he must make?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
496 | Frank laid out his dominoes as shown in the picture. (Dominoes which touch must always have the same number of points). Before his brother George removed two dominoes there were 33 points altogether. How many points is the questionmark worth?
<image1> | {
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} | "$\\boxed{4}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Frank laid out his dominoes as shown in the picture. (Dominoes which touch must always have the same number of points). Before his brother George removed two dominoes there were 33 points altogether. How many points is the questionmark worth?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
497 | Grandma's watch has an hour, minute and second hand. We don't know which hand does which job, but we know that the watch tells the correct time. At 12:55:30 hours the watch looked as pictured. How will the watch look at 8:11:00 hours?
<image1>
<image2>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{E}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Grandma's watch has an hour, minute and second hand. We don't know which hand does which job, but we know that the watch tells the correct time. At 12:55:30 hours the watch looked as pictured. How will the watch look at 8:11:00 hours?\n<image1>\n<image2>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "algebra" | MathVision |
498 | How many more bricks does the right hand pyramid have than the left hand pyramid?
<image1> | {
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"path": null
} | "$\\boxed{5}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "How many more bricks does the right hand pyramid have than the left hand pyramid?\n<image1>"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "counting" | MathVision |
499 | In which picture are there more black Kangaroos than white ones?
<image1>
A. A
B. B
C. C
D. D
E. E | {
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AMT/hEfDX/Qu6T/4BR/8AxNH/AAiPhr/oXtJ/8Ao//ia26KAPNfD/AIc0Ob4geMLWXR9PeC3+x+VG9shWPdESdoxgZPJxjmuv/wCER8Nf9C7pP/gFH/8AE1j+G/8Akpfjf/tw/wDRJrs6AMT/AIRHw1/0Luk/+AUf/wATR/wiPhr/AKF3Sf8AwCj/APia26KAMT/hEfDX/Qu6T/4BR/8AxNH/AAiPhr/oXdJ/8Ao//ia26KAMQ+EPDRBH/CPaTz/05Rf/ABNchr/hzRIfiB4Ptk0fT0gn+2+dGtsgWTbECNwxyB1Gc16VXF+JP+SleCf+3/8A9EigDZ/4Q/wz/wBC7pH/AIBRf/E0v/CI+Gv+he0n/wAAo/8A4mrd3qVpp8aS3t5DbRuwRXmcICSCQMnvgH8qniuI5okmikSSOQBkZSCGB6EHvQBm/wDCI+Gv+hd0n/wCj/8AiaT/AIRHw1/0Luk/+AUf/wATV6XUrSC6jtpbuCOeUZjheQK7fRTyfwqyHyRzQBkf8Ij4a/6F3Sf/AACj/wDiaP8AhEfDX/Qu6T/4BR//ABNbWRjNBIoA8i+MOhaRpnhC0l0/SrG1kN+ql4LdEOPLk4yB9K9dryn4yXtveeDIRb3EVwYdUWOXyXDbHEcmVbHQjI4PNer0AFFFFABRRRQAUUUUAFFFFAHF/FVR/wAK21bjp5P/AKOSl8L+FvD9z4R0Se40LTJZnsIGd3tI2LExjJJK+5o+Kv8AyTXV/wDtj/6OStTwpIqeCdDZmUKNPgySeBiMc5/CgCT/AIRHwz/0Lmkf+AMf/wATS/8ACI+Gv+hd0n/wCj/+Jq1a6nZ3pIs7uC4KhGYRSBtqsMqTjoCBx61LcXkNrCZrmeKCJfvSSMFUfieKAM//AIRHw1/0Luk/+AUf/wATR/wiPhr/AKF3Sf8AwCj/APia1IbiK4hWaGVJYm+68Z3A/QjrU2RQBi/8Ij4a/wChd0n/AMAo/wD4mj/hEfDX/QvaT+FlH/8AE1tZHrVc3Ua3Udu0iCWRS6JnllGMkfTI/OgDyn4PaDpOqeEbqXUNLsLuRb5kDz2yOQoSPA5B469+9eif8Id4Z/6F3SP/AABi/wDia434Hf8AIlXn/YQf/wBFx128Wu6ZLqLWKalavdBzH9nEo37gMkbepwOvpQBH/wAIj4a/6F7Sf/AKP/4mj/hEfDX/AELuk/8AgFH/APE1pSTLEhYsAi8uxIAUDqST9DVWx1nTtTZv7P1C0ugnDeRMsm364PFAFf8A4RHw1/0Luk/+AUf/AMTR/wAIj4a/6F3Sf/AKP/4mtYPnvT80AY3/AAiPhr/oXdJ/8Ao//ia860fQdIk+N2vWEmlWT2cVgrx27W6GNGKwZIUjA+835mvVZbmG3iR55lRWdVBcgAliAo/EkAe5FeeaJ/yX/wAR/wDYOT/0G3oA7P8A4RHw1/0Lmkf+AUf/AMTSf8Ij4a/6F3Sf/AKP/wCJrbooAxP+ER8Nf9C7pP8A4BR//E0f8Ij4a/6F3Sf/AACj/wDia26KAMT/AIRHw1/0Luk/+AUf/wATR/wiPhr/AKF3Sf8AwCj/APia26KAPIfiBoWkWfi7wTDbaVYwxXN+Umjit0VZB5kXDADB6n8zXon/AAiPhr/oXdJ/8Ao//ia434l/8jp4C/7CJ/8ARkNd/cX1raqjXNxFAjusaNI4UMzdFGe59KAKP/CI+Gv+hd0n/wAAo/8A4mj/AIRHw1/0Lukf+AUf/wATV60v7a/gW4tLmK4gckJLC4dSQcHBHHXii41KytpIori8t4ZJv9WkkiqX+gJ5oApf8Ij4a/6F7Sf/AACj/wDiaT/hEfDX/Qu6T/4BR/8AxNbG7pkjrTsj1oAxf+ER8Nf9C7pP/gFH/wDE1yXxL8OaHYeANTubTRtPgnTytssVqisuZk6EDjqa9IrhPihcxXHw51tYZUkMTwxyBTna3mxkg+hwR+dAHQeEQP8AhC9CP/UPt/8A0WtbdYvhD/kStB/7B9v/AOi1raoAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA8y+Jn/I5+Au3/ExP/oyGpPG7P4imm0q1SyeDS5I5bv7ROI13yI6hWyOFCtvZuvAC4bkM+Jf/ACOngL/sIn/0ZDXc3Gg6Rd3f2y60uymuQMCeW3RnA/3iM0AcdpUGtaTocdk1zp+k6XboWk1ZXEvnNI28tGuAka5Zsls44GCPmrY0vRdCmF15Vil3LG5t5bu8AuJJvlUn52ySMnBXIGVYYFYPihdX8GaX5ugSSPp7SfvLSSHzIrNchmcEKWEeFYEYIG4kEYANDwPq1/8A8IraaJAVstRF+bMNNHlokMTTB2Qn7xVHAB747UAb+qwaR4WuYpLDUP7Fefc3lCJ3tXVcBi6L8sYyy/MCnXvToPHaxqRdQWVww2jzNN1K3kRj7iR0ZTntg/WtrTNDS1vmv57y4vr108sXE+zIjyDtUIoUKTz0z05OK0bnTbK7bddWVtMfWSJWP5mgDi7v4gT3BSz0PSmub2T5QPPil2c4yVidscc/OUUf3qyPEuhT6J8JdbN7OZ9Qu50urqRscyNLGMLgcDAxgcZzjg4r1KOGOKNY441RF4CgAAfhXI/FZQfhtq/H/PH/ANHJQBzfiHxOmi/CvRdPSNJbjVNLS3UlioVPJUO5wD03Lx7+xrgfCHjK68J2F4LGxtpbm6ZGaeaUlVVd3y7V6n5mOQRj3Fe2aDo2m6p4L8Pf2jp1reeVp8Bj8+JZNh8tem4cdB+Vc34+8AW9/pU+qaPZvHqcESqsFttCTKuB93HJC5wFwTgA5wBQB5Hqus3+v3guNRunvJf4d33UGAAAowF6DIA5PPvUem311pV9HdaZPJb3O4BGhI5JPAK9GySOP4j+NQ3Fjf6cc31jdWxlQsFngKbiOoAOM9uB617r4b+GOlaJeWuoTXE97eQAMokKiEOBgMqgZ9xknB5FAHN6T8adirFrWnh2UfNNaMAzdMfu3xjqP4vpWrJ8ZtKl/dadpOo3V4x2xwsEXcT0GQzH9K9HeCORdjxqy+jcj/PFEdtFEpVIkQE5+Rdv8qAOJ8G6NrFxqE3inxGEXUbqFYYLZAVFtD1xgk4J64ySvPJLEDP+B/8AyJd5/wBhF/8A0XHXpW326nJrzX4Hf8iVef8AYQf/ANFx0Aem0UUUAFFFFABRRRQB5non/JwHiP8A7Byf+g29emV5non/ACcB4j/7Byf+g29emUAFFFFABRRRQAV5n8Sv+R08A/8AYSP/AKMhr0yvM/iV/wAjp4B/7CR/9GQ0AemUUUUAFFFFABRRRQAUUUUAFYvi7/kS9e/7B1x/6LatqsXxd/yJevf9g64/9FtQBjfCr/km2kf9tv8A0c9dnXGfCr/km2kf9tv/AEc9dnQAUUUUAFFFFABXmfw0/wCR18ff9hEf+jJq9MrzP4af8jr4+/7CI/8ARk1AHplFFFABRRRQAUUUUAcWf+S0/wDcu/8AtxXk3xD8Vw+KdbhNt/x52bNHDIGwZefnbrxyML1985xXrP8AzWr/ALl3/wBuK2J/CmhXAvPO0eyZrwEXDiEB5M4JJbrnIBznqAevNAHi+r/E3WL20FhYRQaLYAKkSWrHzFRQBtD8AL/uqDyBnGa4vbGw3sgyRn5h/nt39a6vxl4Dv9D1hbfSLXUNQspIVdZRbNIVYsV2FlGCePQH5gMdDVbwJ4dg8VayLG4uZYIUt2mYwquWwyrtycgHLdwelAEvhvx3rPhZTHDILjT0bD21wDtXPOEfqmQD6j2r0C1+NWitbBrzT72Kboywskij6MWB/Sux8NeGrHwvpX2GwExR5DI7ysGd2OMEkccAAcDtWxJaW8hJeCNiepKjNAHlt14017xtDJpnhPS5oYZh5c2o3DBfLBI3Y25UYDdmZsZwM81qeI9IttB0bwbploD5Fvr9qoLEksTvLMfqST6c16GExxgY9q474g9PCwH/AEMNp/7NQBmePZpdctL/AECxhE62SxTX7/aUiK5yY0BfjccB2LcBRxksMLo9trWjaMLcXGkWNhzPJq8R84TeY3ylEAVUAXauWyoAXGQDjsbnQdKvZ0ubzTLO4nVQFkmgR3UAkgAkdsmuS1yz1TwokNzoDytp0t6n2ix8jzkgQnc7x4G5V+Ugrggb2K4OMAGrpGlaHK11Ilst5cRuIpr66CyvcZRWJD8/L84yBhQQRjFU9UtdI8NXEM9jfHRbm4JIijieW2lClM74x8qjlfmGw89eorm/BWuXp8EXdvbiG2v1vbaMSeRwFnaNFm2EgMTliMnB4OAMCvQLLQza6g1/cX13qF20ZiWS5YbY1OCVVEVVGSq5OM8CgDDt/HexCLiOxvNoA83TNTt3Rj9JHRlPB4+bp1qC++IckqfZ9G0t7i+YlFR54pdrY4ysLuce52j/AGh1rtLnT7S8P+k2kE3HWWMN/P8Az1qWGCK3jWOGJI0UYCqoAA9BigDgk0K60r4d+IrjVJDLq19Z3E90xYNsPlMFQEADCrxgcdccYFdV4Q/5EvQf+wdb/wDotab4uUDwVroxgDTrjH/ftqd4Q/5EvQf+wdb/APotaANqiiigAooooAKKKKACiiigAryjwLqFvpfiP4iX9y+y3t7wyytjooeY16v2ry/4dQx3Hi7x/DKivG+obWRhkEeZNQBUfQtSu/FX9uT2mnNqLvFfJYG8UO4RMCNGxkFdsZYn5WYrgoFO7fuzLKkg8T38MjxKHOi6exVZNzFUDFiGlySq4O1M9Qa2ZvCWjtbKltZQafKjiWO4so1ieNxxuGB6E8HI55rzLxVrWv2WvWMWr201xBpsqyiWSzCiYx3G7zkdQAo8sxA8kbmxtHWgD1Kfwt4fuLdYZNHs1ReF8uBUK55+Urgr+GDXMw+JodLuHt7HXbK9t4nZFg1adreVSDtKxzMuJACCBkZ4+8RWuBe69qWpRx6vNZ6fbSJbxizSPMu6FJSxdlbj94AAuOlblhpdppmnQ6faW6RWkSbEiToB7+v1PXPNAHNv8QbKNA81o8Y7n7dZYHOOvn9M9/zArGmn1L4iXUdiLNrPw6koe6kb5jchWP7sMPlYHH8G4Y5LA/KfQI9J0+Kbzo7G2SX++kSg9c9cVa8scZFAHmut8fH7w7zgf2e/P/AbiuF+JfiaHxFriwWqKlvpsrwRScEyN0dvQYKBQBzjJJ5wO71v/kv3hz/sHP8A+g3FdjL4V0G4e5kn0eyaW5V1mm8kCRwwIb5vvDIJ6HuaAPFb/wCJWsSabFpumRw6PZRxJFGsLM8oRV27fMYjjqchQwwOTzXG/LKA5XczZJJG4n1Oepz/AJNdn408BXOjazHHpFnqF5ps6BiyW5nMbbsFfl69Fxu67hycZrM8B+HIPFetrYXNzLBAls8zmMAs4DKNoJGB94c4PTHU0ATeG/HGs+Fsi3l8+wRgsltcMWjUnJAVv4CcNjt7GvQLX416M8Cm90y9imP3lhZJVH/Aiyn9K7Dw34X07wtYGzsVlbfIZHlmbc7seBkjAAA4AAA69ySdqS1glyZII3J67lB/nQB5bdeOta8Yr/ZnhLSrqFJ38uXUZx8sYxlskZVD75JxwFJIIrfErRovD/wu0bS4GDJbXiAvjG9ykpdsdiSSeuOa9gC46AAV5p8cBjwVZY/6CKf+i5KAPTu9FFFABRRRQAUUUUAYvi7/AJEvXv8AsHXH/otqxvhV/wAk20j/ALbf+jnrZ8Xf8iXr3/YOuP8A0W1Y3wq/5JtpH/bb/wBHPQB2dFFFABRRRQAUUUUAcX8Puvir/sYrv/2Su0ri/h918Vf9jFd/+yV2lABRRRQAUUUUAFFFFABXGfFX/kmur/8AbH/0cldnXGfFX/km2r9P+WPX/rslAGR8TfFUOlaRNomPMur+FlckDEUJO0tjjJPQdsg9AOfN/DHje58KaJcW2nafbNdTziSS7nJf5du0JgYJxyQScckYr36/0TTtVaI3+nWl0YWJj+0Qq+3IwcZ+g/IegNed/EHwBaT6fda9o0FwNQPllra2i8xbjkAkKBndggkjj5ScZJNAHlOo6rea3evdalcveTt1aU8KOflA6KOvTjnpT9K1O+0e+judKuZba5Y7VMQzvB6fJgg/jkVSnt7vTpZI721mt5dhkVZozGSASO/uMfUGve/DXwz0vw7qcOpfa7m7vIFIDSMqorkEFgoHXBPUnrQBzelfGhMKmsaZhgDmWycEluuPLfGPrurRk+MVjdqsGjaNqN5fSA+XCQoBx3G0sxx7CvSXgSRdrojjqAwzz60qQRxAiKNUBOTtGP5UAcV4O0PVIry88R+IVxrF3mKOFX+S2gGCECjjJIBxk9ByCTVj4U/8k10j/tt/6Oeuw2AdBXH/AAq/5JtpH0m/9HPQB2dFFFABRRRQAUUUUAcZ4b/5KX43/wC3D/0Sa7OuM8N/8lL8b/8Abh/6JNdnQAUUUUAFFFFABXF+JP8AkpXgn/t//wDRIrtK4vxJ/wAlL8E/9v8A/wCiRQBz3jYf8JNj7KlqtlpF8IDcTzxxos/yFiyyDDRIOCvVieB8oJ1rWPWrPS7XTNQvbPQNNt0isY7hJhLLclVxlHIVYww4GV3ZBwBwT1E3h3R555LmXSLCS4k+/K1uu5uMHJxnpxXnnjb+2PC2krZWF1JPoU0M0T/aYg4tQY2RE8wAkAs4A3DgqAWIJFAHX6Rovh6802Ro9ItpIpZ5Eka4iWVp2Ryu9mOS+SpYEknBHasy+OneFbzyNM1SPTJSokazu1kezIYsFJPSHJVgCDj5T8rVX8Pa3qeo+GtEtoZls7qS9eyu2WHLweWsj7Aj9G2ooJbOM9M112maNHp0s9w0891d3BXzri4ILttztGFAUAZOAAOp9aAMGLx5EFImtYJGUkb7HU7aWNsdwXkQ9PVeKoXfjjUdWVrDwzppa7kTCzNLFL5R9WEZZFx/tsPYN0PcXGl2F0264sbaZs5zJErH9RVhIlQBVRVUcYAoA8b+I2i/2B8LtM09mM0q6grzzMxJeRkkZmyeTyT15xjOea9przL44ADwXZ44zqMf/ouSvTaACiiigAooooAKKKKACiiigDjPir/yTXV/+2P/AKOSs9LxpfAmgeH7eSJL3VtKWFDI20RoIAZHA6kgMMLxyewBI0Pir/yTXV/+2P8A6OSp9A0jTtT8D+H11GwtbpE0+Aqs8Suq5jXOAQf/ANVAHL+EdI1rR47mXTbPSB9skUSzLdealmIz8yOqKPMk+Zs7WALcYVQBW9pljot9qELT3C67ePA0/wBslVXihUMFAVAdqZIYDAz8jAnNTavpE2kQXGq+HoniuYkV5LC3jUxXQQfc24+Vtvy7lwenDcCuF8I+J9Qsr3X7vVIf9LlsDdbpLbyPMlgVlZMYBLDB3Y6EMORigDu9a0TQdNjbU036TMrKBc6dEQ25mAXdGqlZMk/xKapWvjcwHZNc6TqEZJHmWd6kMw/34ZmG0/8AAj9K1rfw7Lcz2V3rWpTX89s3nJCVRIEl/vKoXccHpuY47YrentYLlQs8McqjoHUH+dAHHXHxGtFj229hLLcNjZELq3Ytu6fLHI7n/gKk+1L4V03VLvWrjxProEN1cQLDa2wGBbwk7jkdixAPPPBzjO1etttPtLOPy7W1hgT+7EgUfpVnbx+tAHjnw01yHw78MNY1KcbzBfSbYgcF38uPC5wepIGcHGc1w2jeJpNL8YXHiGSyiubmSSeZYTMUWOSUnJHXgBmGOpHpXo/wdsbe/wDAV9bXVtFPbvqDB4pF3KcJGRweOoHpiuo1jwDoWraatmllFY7CXiks40jKEgAnGMHhV6g9B6CgDxPxF4z1jxO6DULhViBBFpb/ACxK3ckE5J9yePasWM+TIssTGN1wVkHysMdOf/r1Yv8AQ9Y0ou+pabfW/kOEZ3t2EY6jO7kdgBgndjgjFeh+Cfhxp2v6Fb6vqNxdMJpHItomCqVRyuGONxzgnjb160AVNC+LOqaTHHa6vAL5AFw7P5U+085yeH45HC5/vGuoPxs8PbSRYamSRwuyLB/HfXocFtHBFHHFGkUSKFWNBhVGAMADjAxxT0toY3LJDGreqoAfzoA820f+3PHfiGz1jUbR9P0KxdZ7W1bcGuJdoKyE4BYDOd33f4QGyxp+if8AJf8AxH/2Dk/9Bt69J8sA5wM9zXm2if8AJf8AxH/2Dk/9Bt6APTaKKKACiiigAooooA8y+Jf/ACOngL/sIn/0ZDUnjEt4lnazijs/7P0m7Rrma4nVVaYqeCCcbEV9zchjnapUgkM+JYz408BD/qIn/wBGQ121x4f0e4u3vbnSrGW5YfPPJAhc8AfeIz0GOtAHI6db6zo+jW2nz3On6NpltEsbX8UgmknZiCWTcoVFO5j8wODnjGCdjSdH8Pz210semRXAEzQTXF2izPcsvysxdsl/mDLz3UgDFc54jh1bwtp8celzzvoL290kyNbLMtmfKbyxgKzCPcRnIO3ZgnBpvhTVb248LadptnjTrltVms5c23zW6bZJyBGxODgBedw789gDU1FdK8KX0MenasmkzTI8n2OZWktZFHUlRxEP9pSo9m6VND48jXelzBZz7cfvdO1O3kQ9P77oy9R2PXrW3p2gwWF7NfSzT3d/Mqxtc3O0uEByEUKAqjPPAGTyckVeuNLsLuTfcWVvM/B3SRKx/Uew/IUAcTe+Pbq+U2nh3S5Lm/cAAmaKXyycDJETOF9fnKDjPNUPFOhNoPwc1aC4l8++nkjub2cj/WzNLGWb6cAD6CvTI7dEAVUVVXOAox1OT+tcl8VVH/CtdX4/54/+jkoA2vCH/IlaD/2Drf8A9FrW1WL4Q/5EvQf+wdb/APota2qACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAPM/iV/yOngH/ALCR/wDRkNemHpXmfxL/AOR08A/9hI/+jIa9LIBBHY0AcnrvjGDRtRi0m2sLm/1WVBItvbgDC7sZY54HU8ZwAScCuM0jTdd8Q+KZvElq8Fs7XEbiVZGe2XaDGVxj/SG2EruBQDc2GPQejar4Z0nWZllvrJZHC7C4dkZk67WKkFlz/CSR7VpQ28dvDHDDEscUQCoijAUDgAD6UAShcdeeafRRQAVxnxV/5Jrq/wD2x/8ARyV2dcZ8Vf8Akmur/wDbH/0clAGx4R58E6F/2Drf/wBFrVfxN4p0/wAKadHe3yTOssgiRIEBZ2IJ4yQOgJ5PQVY8IkHwToOD1063/wDRa1LrGh6dr9i1lqlolzblg21sgqw6FWBBB9wc9qAPGNTvtZ+LurWtvY6ZFaRWUTszyysypv7uwXodoAUDPBPTlfb7CK4isreO8nW4uUiVZJgm0O2OSB2yeai0rRtP0a1W206yitoV52RjGTgDJPUsQOSeTgZrSwKAFooooAK8z+B3/IlXn/YQf/0XHXpleZ/A7/kSrz/sIP8A+i46APTKKKKACiiigAooooA8z0T/AJOA8R/9g5P/AEG3r0yvM9E/5L/4j/7Byf8AoNvXplABRRRQAUUUUAFeZ/Er/kdPAP8A2Ej/AOjIa9MrzP4lf8jp4B/7CR/9GQ0AemUUUUAFFFFABRRRQAUUUUAFYvi7/kS9e/7B1x/6LatqsXxd/wAiXr3/AGDrj/0W1AGN8Kv+SbaR/wBtv/Rz12dcZ8Kv+SbaR/22/wDRz12dABRRRQAUUUUAFeZ/DT/kdfH3/YRH/oyavTK8z+Gn/I6+Pv8AsIj/ANGTUAemUUUUAFFFFABRRRQBxn/Nav8AuXf/AG4rsj0POPeuN/5rV/3Lv/txXZnpQB5h4j+LdjpF9c6fY6fJeXFtIYpWkbyo1YcEDIJODkdB04yOay/hZ4Z1iHVG8SzC3trG5jkQRFDvkVipBVeiLwCM5yOwBBr0T/hD/D51kar/AGRa/bAS3mbON27dvK/d35J+bG73ra8oZXI6UASdcUtFFABXF/EHr4V/7GK0/wDZ67SuL+IHXwr/ANjFaf8As9AHaHpXKa94vt9GvotPhsbu+1KdA6QW6dQSwGT/AMAfpnhSeldUcEfWsXVPDOk6zMk9/YrJOgwJUdo3wQQVLKQSuGYYJxyfU0Aed2um6/4j8SXmqRwQW0sjwZbzC0EPkzRuEJUf6RJ+6wSGCjpuBOB62EweQDj2qGC1htIUht4Y4oo1CpHGoVVHYADAFWqACiiigDE8X/8AIla9/wBg64/9FtS+EP8AkStB/wCwdb/+i1pPF/8AyJWvf9g64/8ARbUvhD/kStB/7B1v/wCi1oA2qKKKACiiigAooooAKKKKACvM/hp/yOvj7/sIj/0ZNXpleZ/DT/kdfH3/AGER/wCjJqAPRZpVggeaQ4SNSzHGcAV5lrvjSbX9Dmg0rTJE0+7jNsb66H3y+RsijUlpHIztHY8sMDNepFFIIxwaxdO8LaLpVytxZafHFKpbYdzMItxJYRgkiMEk8LgcmgDK8GaPqek20ovljijlS3Edur+Y6MkKxszttUZKonAyAQcE5rsaZsAwMcDpT6ACjtRRQB5lrf8AyX/w5/2D3/8AQbivTe1eZa3/AMl/8Of9g5//AEG4r03tQB5r4l+LOn6LfXGn2lhLe3UEhjmLN5UakA5+bknBGOgz2rH+G3h/W5fEEniy6Nva21/5zNCFO6bewkG1T91M8gk5wOmG3V38/grw7c6sNUm0a1e65JbbhXPPLIDtY8nkgn9Mb6xhccAAdgOlADwKWiigArzL44/8iVZ/9hFP/Rclem15l8cP+RKs/wDsIp/6LkoA9Noo70UAFFFFABRRRQBi+Lv+RL17/sHXH/otqxvhV/yTbSP+23/o562fF3/Il69/2Drj/wBFtWN8Kf8Akmukf9tv/Rz0AdnRRRQAUUUUAFFFFAHF/D7r4q/7GK7/APZK7SuL+H3XxV/2MV3/AOyV2lABRRRQAUUUUAFFFFABXGfFX/kmur/9sf8A0cldnXGfFX/kmur/APbH/wBHJQB2RrlfF3jPTvB9tbtexTTS3JYQxQoNzbQMkkkADLKPXngHBx1RrG1jw3pWv26wanYQ3KqcoWyHXkE7WGGUnAzg8980AeLXz6t8V/Ecf2DToLMW1vseSSQsEByfmcAE5PQBTnJzjBI92t0uEhj8+RJJVUB3VdoJxyQOwJ7frRZ6fZ6fbx29naxW8CZ2xxIFUE98Dj8f8aubR6UAHpS0lLQAVxnwp/5JtpH0m/8ARz12dcZ8Kf8Akm2kfSb/ANHPQB2dFFFABRRRQAUUUUAcZ4b/AOSl+N/+3D/0Sa7OuL8N/wDJS/G//bh/6JNdpQAUUUUAFFFFABXGeI/+Sl+CP+3/AP8ARIrs64vxH/yUvwR/2/8A/okUAdoelcXrXjKLT9Um0yw0q51K/gAaULiOKMYB+eRuBgMuSAQA3JHNdmRkEVhah4R0LVL9b290yGW5H3nOR5n3eHAIDj5F4YEcCgDg/B2ja1eawuseZElvJqDXssmW8iUMsi4hjxluJD+9ZgOnytjJ9ZAwKZ5QG0AYAOcVJQAUUUUAeZfHH/kSrP8A7CKf+i5K9NrzL44/8iVZ/wDYRT/0XJXptABRRRQAUUUUAFFFFABRRRQBxnxV/wCSa6v/ANsf/RyVs+Ef+RK0H/sHW/8A6LWsb4q/8k11f/tj/wCjkrZ8I/8AIk6F/wBg63/9FrQBBr3iKx8N2cNxeGSRppPKiSEAtKxBPGSB0HXIGcDuBXA6g2s+MvEFtE+kx2xtrW4j+ztNgxrPGULTOEITj7seC3HIxg16bqGkWOq2yW99bLMiOJEJYqyOOjKwOVbryDnk+po07SLLSLZbewtkhiDbjgklmI5ZiTksemTk0ASWEd1FYW6XsqTXaxqJpI1wrPjkgdsmr1JtBxx0paACiiigDzP4H/8AIlXn/YQf/wBFx13OrarZ6LpVxqN9J5dtAm5zjOeQAB7kkAD1NcL8D/8AkSbz/sIP/wCi469CurO3vrZ7e6t4riF8bopUDIeh6Hg9KAPFvE/j+48b2reHdD0eUreyoFldx5r4IbhR8qkFRlixG0E8dR6P4H8Pah4f8OxafqU8Ezxys8Sw52xqTnbkgFuSW5HU+wxf0Xwnonh13k0zTY7eRyd0mS8hBxkbmy23gfLnHGcZrdwM0ALRRRQAV5non/JwHiP/ALByf+g29emV5non/Jf/ABH/ANg5P/QbegD0yiiigAooooAKKKKAPM/iV/yOngH/ALCR/wDRkNelnocV5p8Sv+R08A/9hE/+jIa9MPIoA5DWfGKafqZ0vTtNu9T1IAEQQABF6H5nPTh1JIBxuXJAOa5fwzY6zq/iObXUjs40lv4ppZkc+SfLjkiZIlwd/wAshBkyo3cjcBiu41Dwnoup3xvLvToZLhhtkcEr5y5XiTaQJANq4DggYrYihSJESNVWNAAqqMBQBgADtxQBNiloooAK4z4q/wDJNdX/AO2P/o5K7OuM+Kv/ACTXV/8Atj/6OSgDZ8If8iVoP/YPt/8A0WtbVYvhD/kStB/7B9v/AOi1raoAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA8w+JZJ8Z+AyDknUTgf8AbSGvTuuK8r+K1pBf+JvBVncx77ee9eKVMkblZ4QRkcjIPaui/wCFU+Csf8gb/wAmpv8A4ugDs6K43/hVPgr/AKAv/k1N/wDF0f8ACqfBX/QF/wDJqb/4ugDsqK43/hVPgr/oC/8Ak1N/8XR/wqnwV/0Bf/Jqb/4ugDsq4r4qsf8AhW2rcdfJ9v8AlslP/wCFU+Cv+gN/5NTf/F1yvj34f+F9D8EajqOnaWLe6i8vZJ58jYzKqngtg8E/nQB33hAn/hDdC6/8eFuOf+uYzW9mvN/Dnw28Jah4Z0q9udID3NzZwyyuLmUZZkBJwH9Sa1f+FU+Cv+gL/wCTU3/xdAHZ0Vxv/CqfBX/QF/8AJqb/AOLo/wCFU+Cv+gL/AOTU3/xdAHZUVxv/AAqnwV/0Bf8Ayam/+Lo/4VT4K/6Av/k1N/8AF0AdlXmPwPP/ABRd5/2EH/8ARcdbn/CqfBX/AEBf/Jqb/wCLrhPhZ4L8PeI/DFxeatp/2m4S8eNX86RMKFQgYVgOrH86APbM0tcZ/wAKq8Ff9AX/AMmpv/i6X/hVPgr/AKA3/k1N/wDF0AdlRXG/8Kq8Ff8AQF/8mpv/AIuj/hVPgr/oDf8Ak1N/8XQB2VJXHf8ACqfBX/QF/wDJqb/4uk/4VV4L/wCgL/5NTf8AxdAGHorAfH/xD83J09ePwt69PzXiOk+CfD8/xd1rQZNP3aXbWSSQwedINrbYec7sn77dT39hju/+FU+Cv+gN/wCTU3/xdAHZ0Vxv/CqfBX/QF/8AJqb/AOLo/wCFU+Cv+gL/AOTU3/xdAHZUVxv/AAqnwV/0Bf8Ayam/+Lo/4VT4K/6Av/k1N/8AF0AdlXmPxKP/ABWvgI5H/IROP+/kNbZ+FPgrH/IF/wDJqb/4uuL8V+FdG8MeNfBZ0ez+y/aNRBl/fO+7EkQH3icfePT1oA9nooooAKKKKACiiigAooooAKxfF/8AyJWvf9g64/8ARbVtVieL+fBWvf8AYOuP/RbUAYvwpb/i2+kZ/wCm3/o167WvJPAHw/8ADGueC9O1LUdM8+6m80vJ58q5xIy/dDYHAA4rqP8AhVPgr/oC/wDk1N/8XQB2dFcb/wAKq8Ff9Ab/AMmpv/i6P+FU+Cv+gN/5NTf/ABdAHZUVxv8AwqnwV/0Bf/Jqb/4uj/hVPgr/AKAv/k1N/wDF0AdlXmHwzfPjXx576jn/AMiTVuf8Kp8Ff9AX/wAmpv8A4uuE8FeCvD+s+KfF1nqFh58Gn3ojtkM0i+WpeUEcMM8KvJ/qcgHtvNLXGf8ACqvBX/QF/wDJqb/4ul/4VT4K/wCgL/5NTf8AxdAHZUVxv/CqfBX/AEBf/Jqb/wCLo/4VT4K/6Av/AJNTf/F0AdlRXG/8Kp8Ff9AX/wAmpv8A4uj/AIVT4K/6Av8A5NTf/F0AMDZ+NGecf8I9/wC3FdrmvJP+EA8Mf8LOGj/2X/oH9kfa/K8+X/W+dtzndnp26V1H/CqfBXX+xf8Ayam/+LoA7OiuN/4VT4K/6Av/AJNTf/F0f8Kp8Ff9AX/yam/+LoA7KiuN/wCFU+Cv+gL/AOTU3/xdH/CqfBX/AEBf/Jqb/wCLoA7KuJ+ITY/4Rb/sYbQj/wAf/wDrVJ/wqnwV/wBAX/yam/8Ai65Xxh8P/DOlf2B9h0sQ/a9ZtrWf9/Kd8Tbty8txnA560Aet5pa4z/hVPgr/AKAv/k1N/wDF0v8AwqrwV/0Bv/Jqb/4ugDsqK43/AIVT4K/6Av8A5NTf/F0f8Kp8Ff8AQF/8mpv/AIugDsqK43/hVPgr/oC/+TU3/wAXR/wqnwV/0Bf/ACam/wDi6ANXxe3/ABRevf8AYPuB/wCQ2p/hH/kS9B/7B1v/AOi1rkPEfw18JWHhnVby20jZPbWU0sT/AGmU7WVCQcFsHBHeuv8ACH/Il6D/ANg63/8ARa0AbVFFFABRRRQAUUUUAFFFFABXmPw0bPjTx5gg/wDEx5/7+TV6celeMeFPCmi+JvGnjUaxZG6FtqJEWZnTbuklz91hn7o60AezA5pa4z/hVXgr/oC/+TU3/wAXS/8ACqfBX/QF/wDJqb/4ugDsqK43/hVPgr/oC/8Ak1N/8XR/wqnwV/0Bv/Jqb/4ugDsqTNcd/wAKp8Ff9AX/AMmpv/i6T/hVXgv/AKA3/k1N/wDF0AYetH/i/wB4eyeRpz8Ae1xXp1eJap4K8PQfF3RdCj0/bpl1ZNJLB5sh3MBMc7t2R9xeh7e9d4PhT4K/6Av/AJNTf/F0AdlRXG/8Kp8Ff9AX/wAmpv8A4uj/AIVT4K/6Av8A5NTf/F0AdlRXG/8ACqfBX/QF/wDJqb/4uj/hVPgr/oC/+TU3/wAXQB2VeY/G8/8AFFWZ7f2gh/Dy5K3P+FVeC/8AoC/+TU3/AMXXCfFTwV4f8N+GLa90nT/s9w96sTP50j/KUcnhmI/hFAHteRke9Orix8KvBmedF69f9Km/+Lp3/CqfBX/QF/8AJqb/AOLoA7KiuN/4VV4K/wCgN/5NTf8AxdH/AAqnwV/0Bf8Ayam/+LoA7KiuN/4VT4K/6Av/AJNTf/F0f8Kp8Ff9AX/yam/+LoA1vF5/4ovXuuP7PuBx/wBc2rF+FTZ+G+kexmz3x+9eszxH8NfCNj4Y1a8ttJ2XFvZTSRP9plOGVCQcFsHBFZ3gDwB4Y13wVp2o6jpfn3Uvmb3M8ig4kdR8obA4A6UAetUVxn/CqfBX/QF/8mpv/i6X/hVPgr/oC/8Ak1N/8XQB2VFcb/wqnwV/0Bf/ACam/wDi6P8AhVPgr/oC/wDk1N/8XQB2VHauN/4VT4K/6Av/AJNTf/F0n/CqvBX/AEBv/Jqb/wCLoAZ8PCT/AMJRnr/wkN2T/wCO4rtq4P4ZWkFhZ+IrO2QJDb67cxRrknaqhABk+wFd5QAUUUUAFFFFABRRRQAVxnxV/wCSa6v/ANsf/RyV2dcZ8Vf+Sa6v/wBsf/RyUAdlkZHvS1xY+FXgzJzo3X/p6m/+L+tO/wCFU+Cv+gL/AOTU3/xdAHZUVxv/AAqnwV/0Bf8Ayam/+Lo/4VT4K/6Av/k1N/8AF0AdlRXG/wDCqfBX/QF/8mpv/i6P+FU+Cv8AoC/+TU3/AMXQB2VcV8KW/wCLbaTkcDzs/wDf56cfhT4Kx/yBf/Jqb/4uuY8AfD/wxrngvT9R1HSxPdS+bvk8+VM4kZRwGwOAOlAHrVFcZ/wqnwV/0Bf/ACam/wDi6X/hVPgr/oC/+TU3/wAXQB2VFcb/AMKp8Ff9AX/yam/+Lo/4VT4K/wCgL/5NTf8AxdAHZUVxv/CqfBX/AEBf/Jqb/wCLpP8AhVXgr/oDf+TU3/xdADfDpx8SfGxHU/Yce/7o12leSaJ8P/DF3438U6dcaYHtLE2n2ePz5Bs3xktyGycn16dBxXVf8Kq8Ff8AQG/8mpv/AIugDsqK43/hVPgr/oC/+TU3/wAXR/wqrwV/0Bf/ACam/wDi6AOyorjf+FU+Cv8AoC/+TU3/AMXR/wAKp8Ff9AX/AMmpv/i6AOyPSuK8RHPxJ8E54I+3f+iRT/8AhVXgr/oC/wDk1N/8XXK6z8PvC9p438LadBpmy0vftfnx+fId+yMFeS2Rg+nXvQB65RXGf8Kp8FY/5Av/AJNTf/F0v/CqvBX/AEBv/Jqb/wCLoA7KiuN/4VT4K/6Av/k1N/8AF0f8Kp8Ff9AX/wAmpv8A4ugDsqK43/hVPgr/AKAv/k1N/wDF0n/CqvBf/QF/8mpv/i6AMT43nPgqz/7CCH/yHIK9OrxH4qeCvD3hvwxbXmk6f9nne8WJn86R8qUcnhmI/hFe3UAFFFFABRRRQAUUUUAFFFFAHGfFX/kmur/9sf8A0cla3hBs+DNC/wCwfAPoRGM1k/FYZ+Gmrj/rj/6OSsrw58NfCV/4Z0q9udJD3NzZwyzOLiVdzMgJPD+pNAHpGaK4z/hVPgr/AKAv/k1N/wDF0v8AwqrwV/0Bv/Jqb/4ugDsqK43/AIVT4K/6Av8A5NTf/F0f8Kp8Ff8AQF/8mpv/AIugDsqK43/hVPgr/oC/+TU3/wAXSH4VeCsf8gX/AMmpv/i6AMT4Hn/ii7z/ALCL/wDouOvTq8S+Fngvw94j8MXF5q1h9pnS8eNX86RMKFQgYVgOrH867v8A4VV4K/6Av/k1N/8AF0AdlRXG/wDCqfBX/QG/8mpv/i6P+FVeCv8AoDf+TU3/AMXQB2VFcb/wqnwV/wBAX/yam/8Ai6P+FU+Cv+gL/wCTU3/xdAHZV5horAfH7xDhuTp68fhb1uf8Kq8FD/mC/wDkzN/8XXCaT4J8PzfFzWdAk0/dpdtZLJDB50g2tth5zuyfvt1Pf2GAD23NLXGf8Kq8Ff8AQG/8mpv/AIul/wCFU+Cv+gL/AOTU3/xdAHZUVxv/AAqnwV/0Bf8Ayam/+Lo/4VT4K/6Av/k1N/8AF0AdlSZ4rjv+FU+Cv+gL/wCTU3/xdJ/wqrwV/wBAb/yam/8Ai6AMP4lMP+E18BDv/aP5/vIa9PzXiXjbwVoGj+J/CVnY6f5UGo3pjuk86RvMXfEvJLZHDHkY613X/CqfBX/QF/8AJqb/AOLoA7OiuN/4VV4K/wCgN/5NTf8AxdH/AAqrwV/0Bv8Ayam/+LoA7KiuN/4VT4K/6Av/AJNTf/F0f8Kp8Ff9AX/yam/+LoA7KuK+KrH/AIVtqwx18kc/9dkp/wDwqnwV/wBAb/yam/8Ai65bx98P/C+ieCNR1HTdKFvdQ+Xsk8+RsZkVTwWIPBP50Aeg+EP+RL0H/sHW/wD6LWtqsXwh/wAiVoP/AGD7f/0WtbVABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHmfxL/5HTwF/2ET/AOjIa9I3Eda82+Jn/I5+Aun/ACET1/66Q1e+IOrXEVtb2NhPdxXCTRzzvbxszLEd6oBgYLNIECr/ABEYOBkgA7rzBk/MCB17Yp3mDPJA5xXn/hrX7+DR7fS1sdRv9Xi8w3JudyLbkyblEkr4JJDqAFDFgMgYFa66Pd6iWa/8RXX2qH5ZIdNlEEUDlQcYwWPykEByeucAEAAHV5GM5oyK5kDX9JkaRZTrVqxwYnWOK5j/AN1hiN/odv17U+LxforBVvL0WEvXydRQ2zjPPAkAzjplSR70AdHkVxXxUcH4bauM9of/AEclXL/x3oFjZvcJqFveFVDFLSRZO4GWIO1RyOWIHPWuL8Rrqlx8LvEeqar5kdzf3EUsds7viCFZY1Rdp+6cAk8AnI3AHigD0Twh/wAiXoP/AGDrf/0WtbVYvhHnwXoP/YOt/wD0WtbVABRRRQAUUUUAFeZfA/8A5Eq8/wCwg/8A6Ljr009K8m+EWo22l/D/AFS9u51htoL6R5JDztAjjz+Pt1NAHqfmZkIUggdcVJu4Hv8ArXkNhda/beJxrd9FrYsJLu4la2SOV1KGMCGIxgHEnKE5+UFQAwYMK7SWfVNRw1zL/YWntIqDcY2uZ2YgBc/MiZJAAG5mzxt6UAdVuHrS5Fc7/YmpRAyW/iS+aUHIN1FDJG2OzKqKfyZT71EniGXTR5Wv2T2pQj/S4I2ktpOwIYDMfXo4GOxYc0AdRnimbvU4+tYZ8ZeG1iMn9v6YV/2btGJPoADyfYVzN9rN74t8QW2iaQLi306J457+7+aJ2QfMIxjDLuOOcgkcgFQSQCtohB+P3iMjn/iXJ0/3bevSfMyQAf0rzTRBt+PfiMdjp6dTngLb1ynjzxXJfeL4jpGuXdrYRx/ZJp7aU4DCQtI6qCCQAV5GN20gcc0Ae9duKbuNeS+IPjDEEki0G1dnyy/abpQqLg8FVzk55PzYxgZFcEPGvidb77adevDJu3FS48vOCP8AV42/higD6ZBFGRjNeReG/i5tQW3iKNt4xtvIEBBHTLoPoTleuRxXeQeNfDVzEskevacAwyBLcIjD6qSCPxoA6AGvMviQ2fGfgM+mo8+372Gp/EnxCSTbpHhOQalrN23lxyQDckXT5w2NrcZ5+6MEsQAAc3xpaSafr3w2s5ZmnkguliMrfxlWgBJz3OCaAPWqKKKACiiigAooooAKKKKACsXxd/yJevf9g64/9FtW1WJ4v/5ErXv+wdcf+i2oAx/hV/yTXSP+23/o566/eeg6k4FeeeA9YttG+FGmXVwXODKkcSIWeWQzPtRF6sxPAH19DWL4R1bUNEJvNYuda1LMBgt4YkknS4m81y4TjG9AmPmIP38EqFoA9e3e4J96N2cf4Vy7DVNUljTUb7+xYpiVgs7aZDcSkDJ3SEEdAflj6c/Mezzo+q2Gx9M12aZUz/oupBZUkBHC+aFEg57kv9D0oA6jNJmuZTxZDayeVrdvPpUgIVmnUtAT/szL8v8A31g1M3jLw6qM39u6cwAGFjuFdjnoAqkkn2HNAG6XznB6V5t8NefGvj7/ALCI/wDRk1XtM1i+8V+NFmtUubbRtI3hy2V+0zsNm1hkY2jJ2kZHG4AsAKPw0/5HXx9/2ER/6MmoA9NooooAKKKKACiiigDiyQPjTk8D/hHf/biuwEg3be47Yrjz/wAlp/7l3/24rm/HN1q2tapFH4dbUGgsI5o3NkJFEsxXBAZQVOzAznGclVO7OAD1fcM4zzTQ/ckYPSuaGs6jqjCDR7GaIbirX+oRFEGOpWPKu5ByOQo469MpbaLc3EEdwnivVZ45f3weP7OUkyvDL+6PykdBnH1oA6jcDS5rmjda1o7KuoRnVbMDm6tYts6e7xDh/qnOeiVJH4w0CRTnWrOCQHBiupBDIp/2kfDD8RQB0GR61xXxBYk+FivJ/wCEitAfbG/NN1vx3axWrx6GV1O8kykDQ/PF5hAI+YcOcEfKuTjltq5YZOtafc6Z4c8FWd7PJPdR67aGeSRi5ZiXY8nsCfwxQB6WWx147/WmmQBgNwOc15x8VvEi6d4fbSre5kj1G6ZJFWI4ZUVsliRyASuB3znPANYfhv4j2mg+Foo7241PVtXmkkkkSZyViOcIhdyOCFB43c7vagD2Xec+lKGyev6V83av478Saxdec2qz2iLnbFZuYkUEDOTjLcjvmtrQ/itrOnXW3V8alak8qUWOWMd8EcHvw3X1XmgD3nNISBXJ6b8RPDGpR5TVIrdwBujuyISM9stgH8CaTV/iL4a0q0Mx1W3u3J+WKzlWVm/I4H4kUAaPi58+C9dwf+Yfcf8Aotqf4Q/5EvQf+wdb/wDota46GHWZ/BXivWtaeWCfUrSZ4rJiSLaJYnCqAQMMQcn14J7iuw8I/wDIl6D1/wCQfb9f+ua0AbdFFFABRRRQAUUUUAFFFFABXmXw1IHjTx8T0/tH/wBqTV6bXl3w5lWPxd4/kdgqJqBZiTgACSfk/lQB6YXKrk4HrmpNwx1ryCfWL698VS6wmoarBoYnt7hgiSBUtkVv3joBuCOytjsVJZgAF3dl/a+qatC08UDaHpqFme8vlAm2gkErG3CcA/M/Qfwkc0AdWHB6EH6U7INc2vh28jRpLXxLqqTPyWmaOZG9MqyYH/AdtIutajpjLHrenyMoyBe2ETSxEDn5lGXQ+2CP9qgDpqZu5NYieMfDksasuv6aAwyN10in8ic1zPiDxM+vtF4e8NvK096f3t8g2rFDuw7qT97jIyBjnAO7igCtrR/4v/4c/wCwe/8A6DcV6bXmOsjHx98OD/qHv+e24r06gAooooAKKKKACvMvjh/yJVn/ANhFP/Rclem15n8cP+RLs/8AsIp/6LkoA9JLDB5A780gfnGfbpXD/EHUbhtHfRtNklbU7sK3+jxyO0MW7BkPlgsoz8uRk8nHQ4r+G9S1PT7SWwbTtc1DU5Z5ZGF6QEhTcFQNM2F2kDOIw/O/A5AoA9A3inBuetcvFYahfXEqXPiWaK+VQZbbTxEEgVs4G2RGY5wfmbrjjb0qQwa9pY8y2ujqtuDlra4CJMFxz5cgCqeegcc/3hQB0uRRkYz2rnYvGGjq3lXt1/ZdwoBaHUF8gjqMAthW6dVJFR3Xjfw/bRM6anBdOFLeXaSLKcDuSpwo92IA7kCgC14ubHgzXRnrp9xxj/pm1ZPwp/5JrpH/AG2/9HPWNBNquo+EPFuu6kssKajZSi0tCTiKFImAYA8/MW9OcA8A4DvBWv2Xh74Radf38pSNRMEVRl5GMr4VR3P8upwATQB6KXBPDDrjH+foacW6c45714F4C8arok97da/qep3QESxW9lvaQSbmy7AMdqlQF6kZ3NjNO8TfE7WNZmaGweTS7Q/dEbYmfBByX7fRemeSelAHvgbIz29xilyK+ddJ+InijS3jA1GS8iU/NDdYk3/8Dxu/XFemaH8U9B1QKl3J/ZtyQPknOUPuJAMbfdtvpigDv6i39cN09qw5/Gvhi1gaaTxBprIoziK4WRj9FUkn8BXNaFr95428YLf2LS2+g6VuUblObuVlKnI6DaGBxyRkZ+98oBpfD7r4q/7GK7/9krtK4v4fdfFX/YxXfT/gFdpQAUUUUAFFFFABRRRQAVxnxVyfhrq+Ov7n/wBHJXZ1xfxVGfhrq4/649Bn/lslAHYF/cDv+FG/Bx1rlvGerJp/h27gWdkvLyKSO38sncDt+aTgZVEByzdB9SAeU8H6/d6dZM17/bmq3155ItYCjyK0QjX98HfCqjM4ySQQuzd824kA9V3jGeo9uaN3WuW+xahqkwj1fV2s5pEaRNO06YLtQHBZpCN7kbgMjavI471I1hr2llZrDVX1OFFObO/Cqz/7sqKCD6bgwPHTrQB1FFc4PF2mwlY9TaTS7gEqUvk8tMjriQ/Iw46hjTpvGfh6JMrrFncNnAitpRNIx9AiZY/gKAN3eP7w61yHwq/5JtpH/bb/ANHPVfwlqN/4l1y91+XzbbTEj+yWNuZMiUZBeVhnGcgKCCR1GTjJg+H+pW+k/CjTry8mSKCJZmdm/wCuz8Adyew70Ad8HPHGR7Ub/evn3wj41ltvE1zqmv6vqAtUWadbaN3KSTN0TZ90cFu4AIHNaHij4q6jqhe20bfp1oQVMuVM75HTIyE6nocjGc9qAPc94yACMnoM04MM47+lfN2mePfFOmSZi1ie5TdvaO6PnBh6HI3AfQ16ZonxZ0W/VI9TLabdZwxYF4ifUMBwO5LBcDvQB6NUZb5sA+2KxH8Y+HI4zIdf0sqBn5bpD/I1y1trl1468RWSaK1xDoWmzrNc3ZzH9odcFYwpGSOQSDjg8gHbkA1PDf8AyUvxv/24f+iTXYF8Ecgc9643w8wX4j+OGZhgCxyTwAPJNcxqN3q9/wCLrfV7B9UOko8G1beOYK9uskbGVgFPmbj5qgfeI2tyuSQD1zcPUc9KZv461y76rq+pW5ltohpOnopeXUb5VDlOcmOPJ29M5kxgYyp5qb/hHr1MGLxTq+9A2zf5DgFuTkeVlvbJOO1AHS5GM5pa5kapqekyeVqtm1zAOEv7GJnH/bSIEup913g9yvSp08Y+HJIt417TRxkiS6RCPqpOR+IoA22fBGD1OB71xniJ8/EvwSM85vh/5BWqviDxO+rRNovhtmnu77MS3ZUqkaEkMyt/HgA/MOBxzuwGk1e2Fp498CWwdnEUd6gkckscQKMn1NAHdFiuOevSk3E4x39q8f8Ai54olivLHTNK1CaG4t2aW5+zOUZCVARdy4IJBbvxxkdKmHxVs9N8NWVpZxz3+qR2kSSzTDbEJdmCWJwzHI9OexoA9bD55zwODTtwzjNfNF7428S3199tfWruEgjbHC/lRgBhwFHBA9TnNdV4c+LWo2chi8Qo99ATuFxEipInYjaAFIz9CPVqAPbs0ma5ey8e+Gb+HzItZtIgDgpcuIGBxnlXwT9Rx71Q1z4j6RpkXl2M6anqEuFhtrQ+ZvY9AWHA+nU9hQBkfG458F2Wecagmf8Av3JXp9eHePdP1Sw+F1iNbmebU59UE9yS+8RsySfKOwAAGcDbnOPWvcaACiiigAooooAKKKKACiiigDjPir/yTXV/+2P/AKOStfwiceC9CHf+zrf/ANFrWR8VRn4a6uME/wCp4HX/AFyVXi1NtP8AhjpMVuzNqF1pkUFnHGu5nlMI2kD+6OpzwAKAO3EmRwaC/HUflXlfgzXrvTTKb1ta1NrxYhp0LRSMZUUYaVWfCBPnQbyy5GGIG6uqa11bV51j1PVP7NEwZ49PsZgJCikBi8pG4kbhnYFA3AZPGQDqwx7mnZFcxJpuu6cVl03V3vol5NpqQU7+eiyqu4HGeoanJ4usYWCatHPpE+Sv+mptjJwPuyjMZHPZs8cgUAdKTjqaYGJx+OaxJfF/h+Jf+QxZSybtgit5RLIzn+FUTLM3sBmsPw3q1/4o8TTavGJLfRreA29tG3HnSMyl3I9goGMnGR33AAGb8Dv+RKvP+wg//ouOvRxLlcggjPXnFeWfCDUbbTPh5qd5dTiG3t72R3kbooEcef8A9XWuX0HxuyePLnU9R1a/h0dpri4S3y7BgwIRSoJAO3aR1AwORQB79u7E8+lG/nHv1rxLxH8W72/zb6IjafAcZnl2tM3H93lVGcjqSeORXM6b438UaY5eLWrmTcAXW6ImUgdhu5Ud+MUAfSuQaWvNdB+LGkXkaRaysmnXICgsVLxMx9DjI9eQAMe1da/jHw0iFm8QaUAFyf8ATI8/lmgDaLH8PpXmuic/H7xHj/oHJ/6Db07/AISufxn4ss9M8PGQaXaTJc398EwGCncsYB5AYqB2JIJxhTlmi8fH3xH/ANg5P5QUAeklsHls/QVJuGM5/GvH/FVxrfiDV7i88Pzak1jDb/ZoZbMyKrSCUeZICoO5VJH3csSg2gruruP7Z1TVoh/Ztq9hatkm/vo9p2jvHCSGPrl9oHXDDigDpi4U9adkVzMWkz3CJPb+KNUkhkUSQvGbdlO4feB8o5B6jqOeAAKF1PVdHby9Ttmv7cAbb6whJYD/AKaQgk/imRz0WgDp6Zu5xnn6Vip4v8OyKp/tzT42IzsluFRx9VYgj8RXN+IfGzTWS6f4aU32pXrGCCWLmNT3ZWPD465GVHViBwQCl8STnxr4DHJxqJ6f9dYa9KLjdjeAfSvKPGlm+na98N7KSVrh7e6WIyNklyrQKSc+vJqX4seJfslva6Xpt9NFqUM6XMv2dypRAGADY6kkg49gTgYNAHqW87c9M+opVbOOc/SvHtL+J9rofhS1ss3mraqIi8ss4KoJGdiVZ2yzbQeCAQcAZGeON1Lxz4l1W5aZ9ZurcZIEdrJ5Kj04HJ+pOaAPpXcM4zS5rwzQPi1qthMU1tRqFq//AC0jVY5U+gACkexx9cV6VYePvDGoW5kj1e1hxwY7pxAwOMkYfH5jI96AOoz6VxXxTbd8NtXAOf8AU/8Ao5KTXfiV4d0e1eSK9i1C4Kkxw2sgfce2WGVUcc559jXNa/HrH/CntavNcLC+v5o7p4Cu37OpkiVUA5wAEBwcEZOeQSQD0Lwj/wAiXoP/AGDrf/0WtbVYvhD/AJErQR/1D7f/ANFrW1QAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB5l8S/wDkdPAX/YRP/oyGunn8LQvqd9qEOpaja/bShuY4JVVZdgwDnbuU44+VhnArmfiX/wAjp4B/7CJ/9GQ16XjA4oA8517WL7wvpcena1a3OqWs8ywWl3b3JW4Y7htVwoDbwAfmXO4gZxnNM8HeI9/gyC7ihkvdTuL1rcoWVWlmILklugAQAkj+FenFdP4kvPDdvYBfEctkYMl0hugJCxHGVTBJIz/CMivNtLvZ18bNdaBpMjaUbuK5SxWExsQYniMi4HlxqfMZhvI3bRg/ewAd6/hyXXdSW88Rw2pWGMxWtpA7MsW4gtIZCFO87VA2gYAPXPFxvC4Rw9lrGr2fyFWQXPnq3pxMJAMe2K31QDtjvTtvtQBz1p4U022nguphcX13CMx3F9cNMyNnJZQx2qeP4VH6msv4pxovw11XCABfJwAOn75MV2wA9K434q/8k11f/tj/AOjkoA2fCH/IlaD/ANg+3/8ARa1tVi+EP+RK0H/sH2//AKLWtqgAooooAKKKKACvIPhVpMWtfD68t5priHGqmZJIXAeN1SJlIyCOCAeQa9frzL4IDPgq8z/0EH/9FxUAdG+jalYSx3mnahPeXIJE0OpTkxzKSDxtBEbDnBVcckEcgjh9O8TQ6n4u8M32y5tLe8mlknhmu3mUzt5scahXPy7evygDEi8ABc+syyJDE0skipHGCWZzgAdyT7V5Z4z1nw3JY3Mmgw2cmsiWKY31rbArDtkDb3lUcjggAFssQOtAHXtqGt62l5FpVva2kKzvarfXE7NICjFHdIguCQwcDLjO30p9l4I0bT7WGK3juIWjQRtJb3ksDSccs3lsuWYgE+tP8Iy3Mmn3QnsprdBfXDwmVChljeRnDbWwQPnI5A6e9dMVB6igDnv+EQ04yM7T6oxYYbdqlz8w9P8AWdPbp7Vp2Gl2el2q21jbR28KnO2NQOe5PqT3J5NXto9KWgDy/SVEnx58SxnodNUdcdVt+9Pb4OaMmn3MUF5fG4dQsEs0gYREdDtULnjg5z6jBo0T/k4DxH/2Dk/9Bt69L2jGMUAfKniHSrnQtZutKvHgNxbgF3jlwh3KGyNwA5BA57ngEkVp+GfCup+K554tOaBFhUPJLPIyBSxO0cAkkgNzjHyn1GfW/FeveB7eST+2U0+/vVV4vLS3WeZSOCmQCU5P8RHf8OX+CkN9DJqDmxmFhdRIUuiCE3I7jYpx833zkgkDbigDotD+FeiW+kQwazbLfXuTJLMjvGFZsfKpUgkDAwTnoTxnFXz8LPCLSBjpsm0fw/apCD/49mu1K5HNGPagDJ0Xw3pPh+Jo9MsY4N5y78s7fVmJY/ia4r4lf8jp4B/7CJ/9GQ16ZXmfxK/5HTwD/wBhI/8AoyGgD0yiiigAooooAKKKKACiiigArE8X/wDIla9/2Drj/wBFtW3WL4v/AORK17/sHXH/AKLagDjfAGiDU/h54fma7ubae0kuJYZrdlyC0kinIZCpGGI5FbN3FqnhSG41OCe41SyjiMl3Dd3B81dvJeI42/dzlMKvyjGO6fCoA/DXSc/9Nv8A0c9dNd3dvaWzz3s8UEKj5pJXCooPAySQO9AHnvhXXIL7xwiKJ4Fl08zQ27zeaiGVYJGCH73B3gjG0bPlwSwGxOmp+NdBSEW8em6RfqrtKJy9zJCSGGFACKWHUlmxk8GuY1K/8MReItHuvDFrbxyWl+FubuztcIUbIMS7FzI7DhVUHjcemSO98ILcR+EdGhuraW3mhtY4mSQfN8o25PpkDODyM4ODxQBH/wAIjp8KFLJ76xIzs+y30qKh7ER7th9cFcZ9ac/hW3ulcalfahqJfAZZrjYhX+6UiCIw+qmuj2g9qAoHSgCtb2dvaW6QW1vFDCnCxxqFVfoBxXnnw0/5HXx9/wBhEf8AoyavTa8z+Gn/ACOvj7/sIj/0ZNQB6ZRRRQAUUUUAFFFFAHFn/ktP/cu/+3FOi8GizsmtdP1rVbWKLzGtIxKDHA7OXBwFDSDJPDs2Qcdeab/zWr/uXf8A24rsiq45FAHlHizxZeWUg07UrV7fVLe3WdLuwvWEWGkRdxRsAZ+ckPkAADLBiR0uk61L/Y/h+z0e0jupp9PWbM0/kpHGiop3MqN825sbQOx6YqXxHqvhNLlIdbWwvblCqi3NuLmRSeV+UAlM5GCeua5X4ei8j1e3I0+4Fqkd1ah9uFto/MEkaO2AGfd5ikLnHyAgHdgA6y38IwXdxcajrcayalPIreZazSRrCqgBY0YMGxyxJ43EkkDgC8/hTTnUKbjVdoPA/tW5P/tSt7aD2pcUAZFh4e0zTLl7q3tSbpxhrmaRppSPTzHJbHTjOOKwPiCP+RV4/wCZitDjP+/XbVxfxB6+Ff8AsYrT/wBnoAj134c6N4g1w6rdSXizMFEkccu1JNvTOQSMjjjHqOa8q8a+B7rwi4njmFzps85ihkB/eISC211xz904IzkjkDIFfRe3HQVzniXUfDdrp6v4jaya2J3JHdRiTeRgZVMEtjdzgcZ5xQB826fDNezw20CF7meRYo0LBdzMVAGT0yTXr/hT4VC0ubmTxGtpdxtH5cMMDuQuTlmJKqQwGAMY6t3rinls9T+JsF14T0uWa0iuLaYW9vEI1whQFlUYCIcdW4JPOK+itmTkj8zmgDjZPhZ4RkUbNMkjOckrdS/lyxq1pvgDw3pFylza6bG1wg+R5naTa2c7gGJAOQOcZ966vHGKTA9KAMLxegHgrXuAf+JdPnPX/VtUnhD/AJEvQf8AsHW//otaTxf/AMiVr3/YOuP/AEW1L4Q/5ErQf+wdb/8AotaANqiiigAooooAKKKKACiiigArybwTYw6p4i+IthcbxHPeFH2PtODJOOD2Nes15l8NRnxr49z/ANBEf+jJ6AOhl0DUbFY57DWrye7hb5EvZFELoBgo6xovBzndgkHB5GQeG8QeM4pNfsYZ7eaxdZ4hf+Xc+bENlyV8t04GCsZYMPmwRwVNevtgKTxgZJ549a828aaj4Ou7S/tobay1DXJ7d9ktrCkjowXh3lHChSATk5AHTFAHU3Gq6nc395YaPYQObQhJLq7mKRrIVVwoVQS3yupP3Rg4zVXSvBVhY2iec9y96dzT3UNzJbtO7MWYkRsOMsQoOcAAVW8BXN3c2t5LcxTFZfs0qXUisonY28SPjcBkboz8w4IYYJrt9i5zgZoA5uPw0eI5tZ1me3UnZE91tIzyP3iBZGxnHzOf61paZomnaOjpp9lHAJDmRl5eQ9i7Hlj7kk1p4FL2oA8y1r/kv/hz/sHv/wCg3Fem15lrf/Jf/Dn/AGD3/wDQbivTaACiiigAooooAK8y+OP/ACJdnwD/AMTFOv8A1zkr02vMvjj/AMiVZ/8AYRT/ANFyUAdTdeF4p9VuL+HUL+0e6Ea3C28oAk2Z28lSycEj5Cv61iazfXvhm3tbLVQL/Sbu9jtors3bxTxBnztkP8YAGN24FgMMOST3uAAeKw9f1HRLOyK63JaeRJnEdwobzMddqHO4gkcAE89KAOP8G+JNnhvVr4LJdXrX8ai3knVnLyLFHGjP2APyktlhtO7kFR0E+gXmv38cniG3s/skCN5dnbzPIGkbjezlUyQuQo28bic8CuEN5DP4iuX8M6U/2RlspooIbYp9oaKYMHHygJHsLLuYrlug4Jr2cAHBxjvQBhDwnpyoUjk1SNT/AApqtyFHPYeZgflSR+EtISWN5YZ7p4eYzeXUlwFPqFkZgCPXFdBSYHpQBh+LU/4orXegxp1x3/6ZtXCeFfB9h4t+FuhQX0tzGIHmkR7eTawJmfIwQQe3JBPX1Oe+8X/8iVr3/YOuP/RbVi/CrA+Gukn/AK7f+jnoA4jxf8L/AOzrF9R0WZfslpamS5inc7mKAsXUgbckdsAccYyMeXRHc+4YIYYADg4OBn36/wAjX1XeXVpaWslzeT28FsvDyTsFQZOOSTjqcfU4714j4/v/AAnqUlhZeFrKF72O42PJZWuxWByoT5QN5JxtwG4z65oAn8N/DDUNXXTtRv5bWPTLgrK8QkJleLG4LgDA3DB+9xnOBjbXo0nwy8IyMz/2QAzMWylxKoB69A3r2q74PFyvhHSY720e0uI7aOJ4nYE/KMAn0yAGx2zjOc10gUCgDjLb4YeE7eUSf2WZGVgw824kYEg5GRuwR9RXVw28drDHDBGsUMahERBtVVAwAAOABVnFFAHF/D773ir/ALGK7/8AZK7SuL+H3XxV/wBjFd/+yV2lABRRRQAUUUUAFFFFABXGfFX/AJJrq/8A2x/9HJXZ1xnxV/5Jrq//AGx/9HJQBp6n4eTUNTTUY9QvrK6S3e3L2zpgxsQSMOrAHKj5gAeBzwMYWsXupeCdKvLuRH1jRvvYnuCLiAvkbdxBDoWKjsV3HqBx3hArK1W60u1sZG1aa0js5Mo4uioR89vm4OcdO9AHD+GPENrb6h4pndrl101D8sr738mJ5ioQk5IwerHILY5GDXQTaZqXiSa0XWrKztdOhfz2tUnaaSR9rKodsKFxuDcbuVGDXn2q3OlXGsXB8L2BhtLvTLqwkMNmR9qcqSBGiruJVsZbG0YAyOAfYbSUzQQzSxNDLIgLxOQShIztJHBI5HHvQBkHwpa2+37De6nZFSSnlXjui5OeI5Cyeo+73oTwlYTbjqEt3qZL72F3OTG59TEmIz6fc7V0mAe1G0Z6UARRxLGioihVUYCgYAA4A/KvNPB/h218UfCHStOuzKI/OklDxvhlYTyc8jB7jnPXPJFeo1xnwqH/ABbbSMD/AJ7f+jnoA5PxF8ITHZQyeH7iR54VYSx3U2POHJBBAwG6DHAPXKnO7yGOUSTI3zgHoCenUnk47Y/+tX1lPPHbxSSSypFGil3dm2hQOpJPavEviHqXgmbTBaaBa2X9oJcgieytlRAACCGcL8w54Ck9ue1AGd4d+HWr+JtOgv45rW1sZZCgeVi0m0HazKgBHUEAEg5XPQ5r1iT4aeE5W3tpO0nHCXMqgY4GAGAB/CovhrFdWfgmztb6yuLWeOWXCTrh3DOzBtvVRzjkDpnoQa7agDiI/hX4RQktp0shzn5rqX+jD9a6u0srbTrdLaztoreBB8scShVXnJ4H1J/OrmKKAOC0i1jvfH3jy1nUtBMllHIAxBKmBgRkEEcHtzVweFb6ytIP7O17UGurPYlqt04aHYoA8uRFVQ4I6sfmHBByKZ4c/wCSl+N/+3D/ANEmuxKrgjHWgDxvxh4wJu5rG7tLyyvbaWOG6ktrwvC6kSMQFYbCCNh+Zd3zEYyoz6Dd6zf3GoTWGjWlpdNBCkks1zcNHGpfOwAKjljgZI4wCpzzWD4t1TwdNDeQz2lpqeqyRPEiW0Cyzb9pAXzArBGHqeRgnBxUXw1m1CSN3vbeWRJbWBvtZQrGWQFNqlsFvkEfzAYJLdsEgG/Z+EbADzbzzZdReR5ZbuGeWFmZzkgFWBwMhQMnCqB2qy3hLT5GQm41U7DxnVbkkfQmTIrf2jjinYoAytN0TT9I8z7DapE0pBlk5aSQ5/ic5Zup6njNc/4lH/FyfBOPS/8A/RK12tcX4j/5KX4J/wC3/wD9EigCnffCrQtR1W71CaS/V7p3kkiSYbQ7D7ykru6knr17Y4ryPxh4W1DwhdQwXrwzx3AdoJoSRv2nnKHkH5lJHTngnkD6aKjBrkfFereELTyl8RPp8siE7IZoRPKu4ZyEwSAdvUjBwB3FAHgeiaZc63f2mm2CIbq4bapbCqBgliSOw2+57YJ4r17wv8LLS0s7pfEcFrezzSKF8p2xGijjDYDAkk55/hX3rivBEU118Tl1TTNKuH0xb6faY4dqQI6uAG/hXAYcZzgYAJ6/QIUdR3oA4yT4WeEnHy6dLH67bqXk/ixrS0fwT4d0K4+06dpccU/GJXZpGXr0LkkdTnGM966LApaAPL/jaoHgqzwAP+JinTjP7uT/ABzXqFeZfHH/AJEqz/7CKf8AouSvTaACiiigAooooAKKKKACiiigDjPirz8NdXz0/c/+jkqLSPD8eq+GvC1/9svLS5s9PTypbZ1ziSJQwIZWBzgds9+tS/FX/kmur/8AbH/0clbHhED/AIQvQf8AsH2//otaAMS8k1DwhDc35ln1TSR+9uEubkGeDgB2TIww6/JlcHpwcDnfBHiy0uL/AFq5uIrmBLewjuIYJZjK0cCpvcKWwSCzZGeq46DAHomo3Njb2LnU5baKzfMb/aGVYyCOh3cc8jH4V5NrM+iX+q26+FrLyLaSyvrWea2smRLl5IjtVVVdz7W5bavGQTxQB3d3Y6r4mS2i1G0tbLTDIs88Bl86WYIQyxuNoVVyATyx4xV4+EbSONRZXuqWLKQytBfSsFwc42SMyEfVa1LCeS80+2uLq2a1mliV5IH5MZ6lT9DV7AOOKAObHhCzmLnULvUNTDEZS6nIix0x5UYSMjvyprdit4raKOKGJY441CoiABVUDAAHYAdhVgDFLQB458MtDt/EPwy1PS7iSWOGbUcs8RAZdqQtkfiuKs6x8Hrb+zVXRLyUXSSFibx8q6nA2/KBtIIyCAepHpi78DxnwTeZ/wCgg/8A6Ljr0SeWO3ieaVwkaKWZ2ICgDkk+1AHyUJfMlVySFLd24Lcjjnnt9MV2vhz4d6x4ksYdQhls4LOWUqHmYs7KrYZlQA55BGCR07da3fiJrXgm50u+ttLt7KbWJJEf7TawKcHcGLNKBhgy56Fsk846jtPhjHe2/g22s7+xntJIZpQizjDSqzb9+08ry5GPbPQigAj+GHhVIokbTC7oioZPPkQvhQNxCMoySBnAHPNOT4WeE0JP9myNnoDdSjH4hsn8a7XaPSlxQBRs9PttPtUtbO2ihgU8Ii4Gc5J+vfPc153pkKXHx48TQyglJNMVSASMgrb55HIr1KvMtE/5OA8R/wDYOT/0G3oA3l8IT2thFDYa5qSy2scaWYmlBijCdFKIF3qR8p3ZOPoK4rxn4lnkttWsbq1ms9UtBFbu9rqT+U6PG7swQhUPygLyCf3gAyQoPsW0DJxXE+I9X8IC58u/tbPU9RjDRxQQ24nnDf3AQDsJI7kcj2oA0ZdeuLm/htdHsra73WiXRlmuDFGschIQAqrFidjHGAMLnNVrPwbbsz3erO9zqk8pmmuIJpINhIUBIyrBtqhFAyc9T3IrB+GV1fymIT20ssJ06KFr0KRFuillCopIAYbJF5XgFSOa9M2j0oAwX8KWDupNxqxxggf2tckA/jJVvTdC07SpZpbS2CzSf6yZ3aSR/wDediWP4k+vetTAzS0AeY/EsY8Z+AuP+Yif/RkNauo/DLRNV1+fV7x7uR5mDPCJsISBjrjcPX73t0rM+JX/ACOngH/sJH/0ZDXpRXIoA+ZvGXhK68I3MENxMlzBcB/IkjBUgIF4ZcfLjcOASOeueKztH0q71fU7fSrNUe6nlZAC4C5AJJJ9AATxnIHGa+g/EureFrS3jTxHLp0ijEsdvcosrHOVDLHgnHUZA9a8o8NPHdfFldQ8NaRM2lJc4KrGUWFJI2Qu3HyD7zAd8BeDwADrPDHwpitVupPESWt88uI4o4ZHCovBLb+G3EgDpwBjJB433+FnhFwNumyIO4W6l5/Nq7PaMYwKdjigDmtH8D+HtDuPtNhpqLcdpZHaVlPOSu8naTk5xis34pLt+GmrjGMeTj/v8nX3rtsVxvxV/wCSa6v/ANsf/RyUAbPhD/kS9B/7B1v/AOi1rarF8If8iVoP/YPt/wD0WtbVABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHmfxK/5HTwD/wBhI/8AoyGvTD0rzP4l/wDI6eAf+wkf/RkNemUAcfrng0anrsWswXotrtYhC3mQiZdoYkMqscBxkgE5HQ44rZ0jR7TRrUw2isWd/MkmkbdJO55Lu38RP/6sDGNYqD1FG0elAC0UUUAFcZ8Vf+Sa6v8A9sf/AEcldnXGfFU5+G2rgZz+57f9NkoA2fCH/IlaD/2D7f8A9FrW1WJ4QP8AxRWg/wDYPt//AEWtbdABRRRQAUUUUAFeZ/A//kSrz/sIP/6Ljr0yvM/gfx4LvB3/ALQf/wBFx0Adprejw67pE2nzvKkchUu0eM/KwbGGBBB24IIIOeQaxtF8GR6eLU3t4b5rUhokESxRCQYHmlBktIccs7MeSRiuwwPSjAHQUANCYIIGO9PoooAKKKKAPM9E/wCTgPEf/YOT/wBBt69LPQ15non/ACX/AMR/9g5P/QbevTaAPLYPgzpMWovNNqF1PaEhltyoVuo3BnHJU88KFPJ5r0qCBIIY4oo1jijUKioMBQOAAOwx27VPtFLQAUUUUAFeZ/Er/kdPAP8A2Ej/AOjIa9MPArzP4lHPjXwF7aif/RkNAHplFFFABRRRQAUUUUAFFFFABWL4u/5EvXv+wdcf+i2rarF8Xf8AIl69/wBg64/9FtQBjfCr/kmukf8Abb/0c9aHibw7F4m0n7K9xNbFHMkUsSqSr7WUEgg5A3Z4wcgEEHms/wCFXHw30gHribj/ALbPXYhVHAFAHN6T4ah02VLi4lS5uY1KxEQiOK3U5ysMY4QHuclj0JPGOjCDIOB/OnFQaWgAooooAK8z+Gn/ACOvj7/sIj/0ZNXpleZfDQ/8Vr4999RB/wDIk1AHptFFFABRRRQAUUUUAcZ/zWr/ALl3/wBuK7M9K4v/AJrV/wBy7/7cV2lAHDR+AYodbvryLU7pba+ZnliCIJNzSM7hZcZVG3EFQAeB82K7C3tYbWGKGCJI4YlCoijAUDgYFWMDPSloAKKKKACuL+IPXwr/ANjFaf8As9dpXF/EE/N4V/7GK0/9noA7SuE8X/Du08WapbX8t/c200KrC4UKymMMx47q2W4bnGOld3TSgOcjrQBg+HfDOneGbU2+nQFN5DySO255GxjLH8+BwMkjqa6AdKTaM5xS0AFFFFAGJ4v/AORK17/sHXH/AKLal8If8iVoP/YOt/8A0WtJ4v8A+RK1/wD7B1x/6Lal8If8iVoP/YOt/wD0WtAG1RRRQAUUUUAFFFFABRRRQAV5n8NP+R18ff8AYR/9qTV6ZXmXw0P/ABWvj3/sIj/0ZNQB6NNCs8DxOPldSpGSOD7iuL0f4fWun28dncXj3VhHJuW3MSp521iU85hky7eMDIX5R8pru6bsHHHSgBoQ5Ht+lSUUUAFHaiigDzLW/wDkv/hz/sHv/wCg3Fem15lrX/JfvDp9NPfP/fNxXptABRRRQAUUUUAFeZfHH/kSrP8A7CKf+i5K9NrzL44c+C7MYP8AyEU/9FyUAelsMgj2rkNe8HJret2msR3pguokWJhJAksbRjeeFYfeDPkE5AKglSQK7DIPQ0mwccdOKAMrSdIt9IgaOESPJId808zbpZW6bmbucAcDgYwABitajaPSloAKKKKAMXxd/wAiXr3/AGDrj/0W1Y3wq/5JrpH0m/8ARz1seLiP+EL17/sHXH/otqx/hUcfDfSAeP8AXdf+uz0AWvFfha38XaKNPuJ5rfZJ5sckW04cKyjII+YANyOM+tU/C3w90nwvKl2u66vtpX7RKcbAQMhF/h6deW7ZxXZgKOBRtBNACBQGzgZx1p9FFABRRRQBxfw+6+Kv+xiu/wD2Su0ri/h918Vf9jFd/wDsldpQAUUUUAFFFFABRRRQAVxnxV/5Jrq//bH/ANHJXZ1xnxV/5Jrq/wD2x/8ARyUAdka5bxR4UXxE9pMbkRXFoS0e6ESRNkoWDoSCwIQDAYcEg5BNdTkE8GjaKAMHRdBh0oeYzGe8ZQj3TqqsVAwFULwqDHCjAGScZJNbpX8aNoznFOoAKKKKACuM+FX/ACTbSPpN/wCjnrs64z4V8fDfSQeCPOBB/wCuz0AbPiHQrfxDodxpV20qQTld7QlQwwQ3G4EckY6d65nwx8MNL8PSxXdw7X9/G25JHXZGjZOCqDPOD1YnkAjB5rvsDGKAoHagBNhBBH60+iigAooooA4zw3/yUvxv/wBuH/ok12LjKke1cb4b/wCSl+N/+3H/ANEmu0oA4HS/hrZ6c0sE19cXWmtIr/ZJEQeYAuNkrgAyICNwT5VznIfNdssSjbhQAPbp/n/61T7QeopaACiiigArjPEf/JS/BH/b/wD+iRXZ1xfiP/kpfgn2+3Z9v3IoA7Q9K898Q/C6w8Q+JW1eXULqHzv+PiFQp3YUKuwkfJ93nIbOT0r0KkwM5oAz9M0u00iwisrC3W3toh8iKT+JJPJPuTk960aKKACiiigDzL44/wDIlWf/AGEU/wDRclem15l8cP8AkS7Pr/yEU/8ARUlem0AFFFFABRRRQAUUUUAFFFFAHGfFX/kmur/9sf8A0clbPhH/AJErQf8AsHW//otaxvir/wAk11f/ALY/+jkrZ8I/8iVoP/YPt/8A0WtAFbxJ4bi8RWtvDJcNBLbzLPGwXcjOARh1z8ynPTIPvS6P4di0p/tU8wudQdBG1yyKmxB0jiQDEaD0HJ7knmug2j0o2DGBwPagBNg+mfTjNPoooAKKKKAPM/gf/wAiVef9hB//AEXHXaa/osOv6Hc6VczSxwXAVXaEgMACCQM5HOMcg9a4v4H8eC7wHr/aD/8AouOvStoI6UAee+HfhbpegagmoT3El7NFIzQCRAqR5wQxXJy4OeenP3RgEeghMHI4pxUEYNLQAUUUUAFeZ6J/ycB4j/7Byf8AoNvXpleZaJ/ycB4j/wCwcn/oNvQB6bXCaV8O7bTTPA2oTT2EmAYjEiSOu1Q0ckoALISu7aAuSx3bsmu7ppUHt0oAhit44I444YlSNFCKqgAKo6Ae3tViiigAooooA8z+JX/I6eAf+wkf/RkNemHpXmfxK/5HXwD/ANhE/wDoyGvTKAPO/EfwwsfEXiQ6tJqN1B5xH2iFArbgFCrsP8GMEnO7OTjFdXoeg2Xh/TotP0+Hy4U5LZyzt3Zj3J/zjArY2j0o2jjgcUAFLRRQAVxnxV/5Jrq//bH/ANHJXZ1xnxVOfhrq4/64/wDo5KANnwh/yJWg/wDYPt//AEWtbVYvhD/kStB/7B9v/wCi1raoAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAo7UUUAeVfFaOebxL4Ljt7j7PO966xzbA/lMXh2ttPXBwcV0Q8OeNcD/ivv8Ayjw/41i/EtR/wmngL31I/wDoyGvTcUAcb/wjfjX/AKH7/wAo8P8AjR/wjfjX/ofv/KPD/jXZUUAcb/wjfjX/AKH7/wAo8P8AjR/wjfjX/ofv/KPD/jXZUUAcZ/wjfjX/AKH7/wAo8P8AjXK/EDRvFFp4H1GfUvFw1C0Xy99t/ZkUW/MigfMCSOSD+Feu1xfxV/5Jrq//AGx/9HJQBleHNC8Wz+GdKltvGotreS0haKD+yoW8pCg2ruzzgYFa3/CN+Nf+h+/8o8P+NbHhAH/hC9B/7B9v3/6ZrW3QBxv/AAjfjX/ofv8Ayjw/40f8I341/wCh+/8AKPD/AI12VFAHG/8ACN+Nf+h+/wDKPD/jR/wjfjX/AKH7/wAo8P8AjXZUUAcZ/wAI341/6H7/AMo8P+NcJ8LNK8Q33hm5l0jxL/ZVuLxg0AsI5stsQ7ssRjggY9q9urzL4H/8iXef9hB//RcdAG1/wjnjX/ofv/KPD/jS/wDCN+Nf+h+/8o8P+NdjS0Acb/wjfjX/AKH7/wAo8P8AjR/wjfjX/ofv/KPD/jXZUUAcb/wjfjX/AKH7/wAo8P8AjSf8I540x/yP2f8AuDw/412dJQB4jpWk+Ij8XdZs4/Enl6ktmrTah9hjPmriH5fKzgdV5z/D7nPef8I341/6H7/yjw/41iaIP+L/AHiLPbTk/wDQbevTc0Acd/wjfjX/AKH7/wAo8P8AjR/wjfjX/ofv/KPD/jXY7hzyOKXNAHG/8I341/6H7/yjw/40f8I341/6H7/yjw/412WaKAOM/wCEb8a/9D9/5R4f8a4rxXputWHjTwWNY17+1t+ojyv9ESDysSRZ+7ndn5evp717RXmXxKH/ABWngLHP/EyOf+/kNAHptFFFABRRRQAUUUUAFFFFABWJ4v8A+RK17/sHXH/otq26xfF3/Il69/2Drj/0W1AHnvw/0TxPeeCdOn03xYNPtH83y7X+zYpfL/eNn5iQT8wJ/Gup/wCEb8a4/wCR+/8AKPD/AI0nwpH/ABbbSP8Att/6Oeu0oA43/hG/Gv8A0P3/AJR4f8aP+Eb8a/8AQ/f+UeH/ABrsqKAON/4Rvxr/AND9/wCUeH/Gj/hG/Gv/AEP3/lHh/wAa7KigDjP+Eb8a/wDQ/f8AlHh/xrg/BOk+IbvxR4sisPEn2GeG923UxsI5ftLb5fm2kjZyCeP73sMe315l8NcDxr499tRH/oyagDa/4Rzxr/0P3/lHh/xpf+Eb8a/9D9/5R4f8a7DIzjPNLketAHHf8I341/6H7/yjw/40f8I341/6H7/yjw/412OQKNwPegDjv+Eb8a/9D9/5R4f8aP8AhG/Gv/Q/f+UeH/GuypMg0AeSDRfFH/CzBbf8Jb/xMP7H8z7Z/ZkX+q87HlbM4687s11P/COeNf8Aofv/ACjw/wCNIMf8Lp4/6F7/ANuK7SgDjf8AhG/Gv/Q/f+UeH/Gj/hG/Gv8A0P3/AJR4f8a7KigDjf8AhG/Gv/Q/f+UeH/Gj/hG/Gv8A0P3/AJR4f8a7KigDjf8AhG/Gv/Q/f+UeH/GuU8Y6N4otf7AN74s+2GTWLeOHGmxR+TKd2JeCd2MH5e9eu1xfxB/5lX/sYrT/ANnoAUeHPGuP+R+/8o8P+NL/AMI341/6H7/yjw/412NG4etAHHf8I341/wCh+/8AKPD/AI0f8I341/6H7/yjw/412OR60ZFAHHf8I341/wCh+/8AKPD/AI0f8I341/6H7/yjw/412VFAHm3iTQfFsPhnVpbjxr9ot0s5jLB/ZUSeauw5XcDkZHGe1df4R/5EvQf+wdb/APotaTxdj/hCte/7B1x/6Lal8If8iXoP/YOt/wD0WtAG1RRRQAUUUUAFFFFABRRRQAV4v4T0zW7/AMZeMxo+v/2Tt1FvN/0RLjzcyS7fvY24wenr7V7RXmXw1/5HXx77aiP/AEZNQBtf8I541P8AzP3/AJR4f8aX/hG/Gv8A0P3/AJR4f8a7DIzS5HrQBx3/AAjfjX/ofv8Ayjw/40f8I341/wCh+/8AKPD/AI12WaTI9aAOO/4Rvxr/AND9/wCUeH/Gk/4Rzxr/AND9/wCUeH/Guzpu4CgDxLVNJ8RL8XdHtJPEvm6m9kzQ6gLCMeUuJsr5ecHo3Of4vau8/wCEc8a4/wCR+/8AKPD/AI1ia0B/wv8A8O4/6Bz/APoNxXp1AHG/8I341/6H7/yjw/40f8I341/6H7/yjw/412VFAHG/8I341/6H7/yjw/40f8I341/6H7/yjw/412VFAHG/8I341/6H7/yjw/41wfxT0rxBZeGLebVvEn9qQG8VVg+wRw7W2OQ25SegDfnXt1eZfHDjwXZ/9hFP/RclAGyPDfjXP/I+/wDlHh/xp3/CN+Nf+h+/8o8P+Ndj3paAON/4Rvxr/wBD9/5R4f8AGj/hG/Gv/Q/f+UeH/GuyooA43/hG/Gv/AEP3/lHh/wAaP+Eb8a/9D9/5R4f8a7KigDzbxJoPi6Hwzq0tz41+0W6Wcxlg/sqJPNXYcruB4yMjPaszwBo/ie88FadPpni77BaP5vl2w02KYJiRgfmJB5OTz616D4uH/FF69zj/AIl1x/6Lasb4VgH4baQT/wBNuv8A12egBf8AhG/GuP8Akfv/ACjw/wCNL/wjfjX/AKH7/wAo8P8AjXY7higMD0OfpQBx3/CN+Nf+h+/8o8P+NH/CN+Nf+h+/8o8P+NdlmigDjf8AhG/Gv/Q/f+UeH/Gk/wCEc8a/9D9/5R4f8a7OkLAdTj60AcH8MY54rPxDFczi4mTXbhZJ/LCeY4CBm2jpk5rva4r4ejnxT2x4iu8f+O12tABRRRQAUUUUAFFFFABXGfFX/kmur/8AbH/0cldnXGfFX/kmur/9sf8A0clACDw340B/5Hzr/wBQiH/H/OKd/wAI341/6H7/AMo8P+Ndl3ooA43/AIRvxr/0P3/lHh/xo/4Rvxr/AND9/wCUeH/GuyooA43/AIRvxr/0P3/lHh/xo/4Rvxr/AND9/wCUeH/GuyooA43/AIRvxr/0P3/lHh/xrlfAGi+J7vwTp0+meLRp9o3m+XajTIpdn7xgfmJyecn8cV65XGfCkf8AFttI/wC23/o56AD/AIRvxrj/AJH7/wAo8P8AjS/8I341/wCh+/8AKPD/AI12VFAHG/8ACN+Nf+h+/wDKPD/jR/wjfjX/AKH7/wAo8P8AjXZUUAcb/wAI341/6H7/AMo8P+NJ/wAI341/6H7/AMo8P+NdnRQB5Fomi+Jn8b+KYYPFvk3cJtPtNz/ZkTefmMlflzhdo4469+a6r/hHPGv/AEP3/lHh/wAaTw3z8SvG/wD24f8Aok12lAHG/wDCN+Nf+h+/8o8P+NH/AAjfjX/ofv8Ayjw/412VFAHG/wDCN+Nf+h+/8o8P+NH/AAjfjX/ofv8Ayjw/412VFAHG/wDCOeNf+h+/8o8P+NcrrOieKE8beFoZ/F3nXcv2v7Ndf2ZEv2fEY3fIDhtw456V65XF+I+PiX4I9P8AT/8A0SKAF/4Rvxr/AND9/wCUeH/Gl/4Rvxr/AND9/wCUeH/Gux3D1o3CgDjv+Eb8a/8AQ/f+UeH/ABo/4Rvxr/0P3/lHh/xrscilzQBxv/CN+Nf+h+/8o8P+NJ/wjnjX/ofv/KPD/jXZ0lAHifxU0rxDY+GbeXVvEo1S3N4qrB/Z8cO1tjkNuUk8AN+de215l8cMf8IVZ4/6CCH/AMhyV6bQAUUUUAFFFFABRRRQAUUUUAcZ8Vhn4aawP+uP/o5KyfDeg+LZ/DOlS23jT7LbSWkLQwf2VCxiQoCq7iecDArW+Kv/ACTXV/8Atj/6OStjwgP+KL0H/sH2/wD6LWgDH/4Rvxr/AND9/wCUeH/Gl/4Rvxr/AND9/wCUeH/GuyooA43/AIRvxr/0P3/lHh/xo/4Rvxr/AND9/wCUeH/GuyooA43/AIRvxr/0P3/lHh/xpP8AhHPGv/Q/f+UeH/GuzpKAPEvhZpXiG98M3MukeJf7KtxeMrQfYI5stsQ7ssRjggY9q7z/AIRzxr/0P3/lHh/xrE+B+P8AhC7w+moP/wCi469M3DOM80Acd/wjfjX/AKH7/wAo8P8AjR/wjfjX/ofv/KPD/jXY7h6ijIoA47/hG/Gv/Q/f+UeH/Gj/AIRvxr/0P3/lHh/xrscg0tAHGf8ACN+Ncc+Pc/8AcHh/xrg9K0nxEfi7rNnH4l8vUls1abUPsMZ81cQ/L5WcDqvOf4fc59uyK8y0RR/wv7xFn/oHJ/6Db0Abf/COeNf+h+/8o8P+NL/wjfjX/ofv/KPD/jXY0tAHG/8ACN+Nf+h+/wDKPD/jR/wjfjX/AKH7/wAo8P8AjXZUUAcb/wAI341/6H7/AMo8P+NJ/wAI541/6H7/AMo8P+NdnSUAeJeN9K8Q2vijwpFqHiT7bPNfbbWf7BHF9mbfEN20Eh+SDzj7td3/AMI341/6H7/yjw/41i/Eof8AFZ+Av+wif/RkNemZoA47/hG/Gv8A0P3/AJR4f8aP+Eb8a/8AQ/f+UeH/ABrsdw9aXNAHG/8ACN+Nf+h+/wDKPD/jR/wjfjX/AKH7/wAo8P8AjXZZooA4z/hG/Gv/AEP3/lHh/wAa5bx9ovii08E6hPqXi0ahaL5W+2/syKLf+8UD5lJIwSD+FeuVxfxV5+G2rjv+5/8ARyUAbXhD/kStB/7B9v8A+i1rarF8I/8AIl6D/wBg63/9FrW1QAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB5n8Sv+R08A/wDYSP8A6Mhr0yvM/iV/yOngH/sJH/0ZDXplABRRRQAUUUUAFcZ8Vf8Akmur/wDbH/0cldnXGfFX/kmur/8AbH/0clAGz4Q/5ErQf+wfb/8Aota2qxfCH/IlaD/2D7f/ANFrW1QAUUUUAFFFFABXmXwO/wCRKvP+wg//AKLjr02vM/gd/wAiVef9hB//AEXHQB6ZRRRQAUUUUAFFFFAHmWi/8l/8R/8AYOT/ANBt66XxR4n/AOEe/s8R2Ml7NdzCPyY3CFVJVS2TxwzIMEjlhyOtc1ooz8fvEYPfTk/9Bt6NQsNS1XVtSfVdE1Od0lkS2FvNEtu1ngKUyz/ekxkkANgAZSgDsLXXYJPD1rrV28dpBNbRznzJAVTeAcZwM9QB6kdBUEXiO5uEMlt4f1aeHPySEQxFx/eCySKwB6DIFc/aW2hpph1+xRtZWyPm7L+7LvZRooO1FcHa67ejYOckt0rpdE1CW50O31C9nC+fulJcBPLV2JRG7BlUqp6nI+tAEun+IrHULp7RDLBeqodra6haGTbnGQGHzDg8rke9bG7Arib2T/hJb6W1sdOsNRtbIruuZLmSArcEkkQyIh2lQASVOfnweQRUMcPjKwJW3W5dVwqrPNDdp1IzuPkyHAwfmJoA7OW5iigeaSZI4kUszu4CqAMkknoMc59Oa8j8S63/AMJD4j8FX8dqYrX+2Hjt2LZ82NZoAJMEArk5+X29a338KeJfEUaR69qBgtS26SFHRiRuBACIiqCOeWaTnkAGqPjyyt9P8T/Du0tIhFDDfeXGgPCqHhGP89fxoA9WooooAKKKKACiiigAooooAKxfF3/Il69/2Drj/wBFtW1WL4u/5EvXv+wdcf8AotqAMb4Vf8k20j/tt/6OeuzrjPhV/wAk20j/ALbf+jnrs6ACiiigAooooAK8w+GzY8a+Pc/9BAf+jJ/6V6cehrxzwxZ3+o6t8SLTTb0Wl3LebYpyMhT5k3HqMgY3dRnIzigDSfx7q8nxNPhyw/s2SxFykfmSK2QoXMgBBA3D5gBg8gDvWn4h+J+iaSgSwlj1W6IyFt5gY0/3pBnH0GT6gda891P4Ua9pulm5VYbyUSYa3tMuQm37wLYJPUbQCee9cLISkgj5XDAFdpUggjj8Pw/OgD06z+M+rxs7X2l2NxGR8ohdoCPbcd4b6jFej+HfGejeJIwLW7RbsDLWsxCyr74zyPccV882en6hqDSCwsLu7aPHmfZYXfZnpnA4zg9T3Poa9Jg+Db3Gn2bvq72ty0SNPE8AkCSEZZQQy8A/WgD2HJxyRXH+L/FjaUselaUEuvEF2wjtrbglMn778/KoGcE9SM9ATWGvwz8QRxCKPx5qKRAY2qsgGPYebxW54W8B6V4WxNGDdXxOXu5wCwJGDsH8AJLep5xn0AGjP/C6Rn/oXv8A24rtK4v/AJrWP+xe/wDbiu0oAKKKKACiiigAri/iD18K/wDYxWn/ALPXaVxfxB/5lb/sYbT/ANnoA6bUdQj0zS7y/mBeK2heZlUckKpYgfgK5/wn4sfxNJc5sHtPJhgkBeVX3b1bJG0fd+XKk43A5wM1H4tivrq7sbRtPvLzSZA/2lLNk3PJxsVg7KNn3ickjKgEYNY2kaNoVxcPpF2t/p96Dul02a+IS9+XAm+QgP8AKpDBMAEEEcCgDqP+Eot57p4dMtLzVHjJWZrRU2RkY+Uu7KhPzdFJPrS/8JTbQSbNTtb3SzuADXUWY+TgZljLIPoWFUPD+pz3evXulG0Wxg0q3jRrWLa8btISQUbaDhVUADj7xyMgYs6xrkJWPTbGC21K9ujtS3ZgyiPOGeTAOEGT2wegOaAOjEm5flOT7d6Vm/2vw61wZ0jxFpZ/4lNo1mnUw2eorPCDkniKaJQo7YjKDn8opbPx3qKzW8tylnEUKB1ZIRjpuwolY+uA6eg20AT+LvEcbx63oMEQmdNHuri6lD/LCNhCrjByxJBxxgY5PArpPCB/4orQT/1Drf8A9FrXOXHhi38N+APEMdvIZJ57Cdp5yu0sdjYHc4GSQO5LEklia6Pwh/yJeg/9g63/APRa0AbVFFFABRRRQAUUUUAFFFFABXmPw2P/ABWvjw+uojn1/eT16dXkPg+2vLzWfiTbafOILuW6ZYZT0RzJPQBcvPiBqw+JP/CPWKWE9m1zFB5jckYAMwBDAbgSRj1XHXitTxB8TtE0eILYzpqdyVyEtpQY1xwd8nIBHoMn1FcBffCbXLHR5rwPa3c8Zw9paqzF4wB90kDcR/dwc+pPB4OdnimMTgpIrBXRxtZWHBzn8sUAel23xn1iO5Z7vTLGW3IO2OJ2iYHtlyWB/BRXofhvxxpPiaNRbziG7x89rOwWQeuByGHuD9cV8+2en39+ZRp9hdXZjxvFvC0u0n1wMD8TXo1l8Gp7nTLSS61X7LelczReQJlQ54AIK4IGAevIOCBQB7JkkGuP8W+LxoaRafZslxrl2whtLbI4ZiFDv2UZPGcZ/liR/DLXooxFH481FIh0RFkUD6DzeK2/C/w+0nwxMt4C13qGDuupuoJABKL0XPzepwxGcHFAGJrIP/C/fDeev9nv/wCg3FenV5lrf/JwHhz/ALBz/wDoNxXptABRRRQAUUUUAFeZfHH/AJEqz/7CKf8AouSvTa8y+OP/ACJVn/2EU/8ARclAHptFFFABRRRQAUUUUAYvi7/kS9e/7B1x/wCi2rD+FbY+G2kjrjzvf/ls4rb8X/8AIla9/wBg64/9FtXGeEn1Jfgraf2REz3uJAqx43qpnYMVyQCwUsQM8kYoA17Px0134yOhppcixGZoFu3nA3FVk3EJjON0Lrxnpk7eAdq/8QW9hcx2ixzXl7INyWdqgeQrkDJzhUUZ+8xAPY1xMOl6RZX6yXdvrWgw3K+XbXk10kfltwXQlScGQDP70kk527WxnbLR6Dren6JpthHbR6jP5i3sb+cZUjXdJ5pYZ3HhASW4bqDQBrnxHLAwN5oWr20XeXy45gD7rC7t+OMVo2OoW+pWsd1ZTRzwSAskkbZB/wADngjqKh1PWdP0m3eW9vYocYGwnLsT0VV6sxxwACT6GuUOl63MF1ODRobG+uAHk+w6kYnbIJxJG0RjcjOCWzz0wKAO/wA8fhXP+I/EKaJDaoiJcXt5cJb21sZDGZWLAE5APAByT0HHcisE/wDCfSCOFG2pkEySCBHx3y6lh27RD73tVzQfB01nq7axq939r1Ns7CXLrHnOTkgZODgYVVHOFGTkAT4e5z4qz/0MV3/7JXa1xfw96+Ku/wDxUV3/AOyV2lABRRRQAUUUUAFFFFABXGfFX/kmur/9sf8A0cldnXGfFX/kmur/APbH/wBHJQB2feijvRQAUUUUAFFFFABXGfCn/km2kfSb/wBHPXZ1xnwp/wCSbaR9Jv8A0c9AHZ0UUUAFFFFABRRRQBxnhv8A5KX43/7cP/RJrs64zw3/AMlL8b/9uH/ok12dABRRRQAUUUUAFcX4k/5KX4J/7f8A/wBEiu0ri/Ef/JS/BP8A2/8A/okUAa3iXXP+Ed0C61VrczeRhVh3BN5LBVG7nAy3JqLQNfl1mwu725sX02OG5kiUTSAlkTGWbGApzuBGTjb1NYfiexvdU1nybnT9SmsFtw1obJ4QolJy7yeZgAgBQu4EDLEZP3aul6Lot5BLb21lJ9rs3wdBv751ggfcSzBAG3K33gSGU8YC5NAHTReKVvS7aVpeoalbLkC6txGsTnn7rSOu8cdVyKdD4ltHu47S8iudOu5G2xxXce0SHjhZBmNj8wwAx5NVfDesza22qXUiG2gt7gWqwvsITYis7bh94EucHOCADgc5i1fWotUu49D06xsdYMwZrtZZsQwxheN5Ctyx4UYJ74wM0AdaGPTHNM8w9cgj6Vw39m+J9Pby7CC4hjA4jW/S7hHtiZUfHPQMBx0qC50fxnr6SQ312tjbylVcCRVwn8XyIGY/Qygeu6gDnPiv4hg1nRLiytULw6fqUEZuAcrJIYpiyj/dAGT7n0zXtHevHvijodn4e+HVjZWUeFGpI7MersY5Mk/gAAPYelexd6ACiiigAooooAKKKKACiiigDjPir/yTXV/+2P8A6OStnwh/yJWg/wDYPt//AEWtY3xV/wCSa6v/ANsf/RyVs+EP+RK0H/sH2/8A6LWgDaooooAKKKKACg9KKKAPL/goxXwXeFeR/aMmcnH/ACzjqDQ/iPqOqfEC50l5NN/shJp2E+cN5KKcMrb9pBIDZw3BJ4A4zPh3pd7rXwp1mwsrlLWee+cCRs7ceXHuDY5AIyOPWsbW/hfrWkaVFeBYtQfeRPBaRtI0PPysOhYevy5B9RkgA73xJ8VtK0tvI0ox6ndH+JHIiXjruGd/Xov5iuasfjLqqTY1DS7SdGxtFszRso/End9OK8v83dKqg/ITu2gHjg9frWlp+j6pqxC6bp11dEuI90cRKBiMgM+MDgg5PQHPSgD6I8P+LNJ8SwCTTrtHl2hnt2YCWP6r1xnv0PYmt7cc9RjvXkY+C7lLeT+3TDMsaFwIPMCyAfNsO5SFz0yMj1rRPwy19oWhPjzUPKK7dm2Urj0x52KAN/WvFy23iLTPD+mFLnUrqdROoIxBCDlye27aDx16ccisHRP+S/eIs9f7OTn/AIDb10nhjwTpHhNHNhEzXEg2yXEpBdhnOOMADuQAM4Gegrm9E/5L/wCIv+wcn/oNvQB6bRRRQAUUUUAFFFFAHmfxL/5HTwF/2ET/AOjIa7TW9VOjaNcXzRGeSNQEhBwZXZgqoMA9WZRnHeuK+Jf/ACOngL/sIn/0ZDWn4ohv77XbezbTr660f7OWRrGRMm6DceYHIXCKAw3ZBJ6MQMAGr4T8RnxLpsl6bM2YjkVfLaUOfmijkySOP+Wn14GcHIAnipLyVhpOnX2qRIdr3Fr5YhLZIIV5HQORj+HIrnNL0XRb1pbWRbpb+3Ehk0S9vCsbzEhvNKrkEN6qCnzH5c8Vu+GNWk1OfUNsK2lrZyLYLaqVwjxbt7KQOVOQo6fcPAORQBZTxPapdR2t9bXemTysFiW8QBJG9BIu5C3HTdk1vB8ggHLdMDtXL6vrEV5cQaPYW9lqlzck+dBNJmOKELuLybVbGSFUA9S3sayl0nxLprCPTLea1iCgLHFqC3cMeBjgTorAdOFYDjpQB327p7ivL/iN4iTUfD3iLR7SJZYbKCB57lX4SUzqBHtxyQASSDwRg4NaD2HjfWWkiurpLKB9uVR1iwOpyI97njjAlXv83Iqh4v8ADVp4Y+Eeq2VqCxZoXllOAZH82Pnj0AAA4AA4FAHceEP+RL0H/sHW/wD6LWtqsXwh/wAiXoP/AGDrf/0WtbVABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHmfxK/5HTwD/ANhI/wDoyGvTK8z+JX/I6eAf+wkf/RkNemUAFFFFABRRRQAVxnxV/wCSa6v/ANsf/RyV2dcZ8Vf+Sa6v/wBsf/RyUAbPhD/kStB/7B9v/wCi1rarF8If8iVoP/YPt/8A0WtbVABRRRQAUUUUAFeZ/A7/AJEq8/7CD/8AouOvTK8z+B3/ACJV5/2EH/8ARcdAHplFFFABRRRQAUUUUAeZaJ/ycB4j/wCwcn/oNvXpWwenTpXmuif8nAeI/wDsHJ/6Db16aelAHn3jnwG3iaeK6tJbaC5RJEdZIzi4LLtUsy/NlRnGQw5x03ZxfDtvbTXOm+F9U8q6XSr66idJV3rMSpaIkHIAKmQgEnHlnHI41vE1z4oufEM2moL+20sruhk061Dvcfc+QyFsIcl+TtAC853DF3w/4EtrPyrnUy812twLpIzcO8ccgz85zjzJPmJLsOp4AHFAHW29nBa28dvbwJFBGoRI41CKijoAB6VZ2L6e1OooAaUB7dK81+JX/I6+Af8AsIn/ANGQ16ZXmfxK/wCR08A/9hI/+jIaAPTKKKKACiiigAooooAKKKKACsXxd/yJevf9g64/9FtW1WL4u/5EvXv+wdcf+i2oAxvhV/yTbSP+23/o567OuM+FX/JNtI/7bf8Ao567OgAooooAKKKKACvMfhsoPjPx6COmo/8AtSavTq8y+Gv/ACOnj7/sI/8AtSagD0oouORxXkfxA8B6FZ6fquvpfzWl3cM0oieZTHLKSHKgEZbdtJxk4PQAZFenamLybSruOwkSG8aF1gkccJJtO1iMHgHBrx/T/hN4g1jUpJvEeoFFWQq03nedLMBgAoxztUjcAzcj+53oA3PgzdRSaDqVor/6RFeCV4sYKq8aBTnHco/5Z4r1MLj/AOtxVDTdIsdGs1tNNsobW3Xny4kCgngZOOpwBycnitGgBMUmxSORTqKAOL/5rV/3L3/txXaVxn/Nav8AuXf/AG4rs6ACiiigAooooAK4v4g9fCv/AGMVp/7PXaVxfxB6+Ff+xitP/Z6AOw8vg+prH13SP7ZtFhEiRTpNHNBM0YcxyI4cHBPT5QDjBrcPSuT8XXuvWdhAdHiDB5hHcTLEZZIUJwJFjAO4A4zwSB2PWgDz+DQ77wGt5Yz3kdyNT0m9jiS3iwC8S+YGPdjhnA6kZxkgDHq+mabpthaRjTbe2jhYKQ1uiqHwuAcqOeBXC6P4OutX1M6rq91qLogaNHncxTT5znagP7iPlgFB3HnlQcH0SzsrfT7KC0tYhFbwoscaAkhVHAHP9aALWAR0pNi4xinUUAYni4AeCte/7B1x/wCi2pfCH/Il6D/2Drf/ANFrSeL/APkSte/7B1x/6Lal8If8iVoP/YOt/wD0WtAG1RRRQAUUUUAFFFFABRRRQAdq8y+Gg/4rTx7/ANhH/wBqTV6bXmfw0/5HXx9/2Ef/AGpNQB6VtHpXk3jb4eaBBY6z4g+3XNncukk4UyoI2lPzbcFcnJGAM9TjHQD03UBdSaZdJYyLHdvE6wSMMhXwdpI9AcV4zZ/CvxLrOriTxJfny0kKSTvcGaWRAeDHnO0HtuxjP3TjFAG/8GL2GXQNRsw3+kxXQlkj5yqtGoXn6o3HUY9xXqXlgkEgZ+lUNL0ix0exjs9Ns4rS3QY8qIYB4Aye5OAOTye9aVACYoKg9qWjtQB5lrf/ACX/AMOf9g9//QbivTa8y1v/AJL/AOHP+we//oNxXptABRRRQAUUUUAFeZfHH/kSrP8A7CKf+i5K9NrzL44/8iVZ/wDYRT/0XJQB6bRRRQAUUUUAFFFFAGL4v/5ErXv+wdcf+i2rE+FS/wDFtNJwOSJv/Rr1t+Lv+RL17/sHXH/otqxvhV/yTXSPpN/6OegDq5oIrmF4Z4kkiddrpIuVYHsQeteQal4Gv/C2p/8ACQxagl3DBe28ixrCPObMiRiEdgoVscEAjA2jAK+qarNfQ6VdSadFHNepExhjkO1GfB2gn647j615zFomu+LmRNWutQdGIeZLm3Nvb2+DnasZX98w7H7g7mTHIB0/ha303UPtOsLFbXN6dQuSt0YwzIu4qgV8ZCmLYc9w3vXYAfrWNpHh+x0UStapKZp9hmnmkMkkhUbRuZiT04wOB2ArboAbsUY46UbRinUUAcX8Puviv/sYrv8A9krtK4v4fdfFX/YxXf8A7JXaUAFFFFABRRRQAUUUUAFcZ8Vf+Sa6v/2x/wDRyV2dcZ8Vf+Sa6v8A9sf/AEclAHZ96KO9FABRRRQAUUUUAFcZ8Kf+SbaR9Jv/AEc9dnXGfCn/AJJtpH0m/wDRz0AdnRRRQAUUUUAFFFFAHGeG/wDkpfjf/tw/9EmuzrjPDf8AyUvxv/24f+iTXZ0AFFFFABRRRQAVxfiT/kpfgn/t/wD/AESK7SuM8R/8lL8Ef9v/AP6JFAHX+WODjocjFc34q8MjxCLCW3lht7+wukuYp5Id+7bk7DhlYKTtJwewrqD0riPF1/4ihv7e00wT22nyph763tftLo5DnbsByBhV524+f7y7eQDkNNsH8NR3vhXVp4J1nksbxlVPk8prlIpAx4BGAgOR3Y+tes2lhaWFutvZ20NtApyIoUCKM+wHrXB6F4FS++03WufbmF0Nv2e4u2Msig8NKVPoFxGPlAAyXONvo4B4yBQAuO+KNo9KWigDzL44ceC7P/sIp/6Lkr02vMvjh/yJVn/2EU/9FyV6bQAUUUUAFFFFABRRRQAUUUUAcZ8Vf+Sa6v8A9sf/AEclbPhD/kStB/7B9v8A+i1rG+Kv/JNdX/7Y/wDo5K2fCH/IlaD/ANg+3/8ARa0AbVFFFABRRRQAUUUUAeZfA8Z8FXn/AGEH/wDRcdeinHcjGeh/P8686+B//IlXn/YQf/0XHXYeJLLVNQ0C8ttGuFtL+RQsUzNtC8jPIBIO3IyBkdjQB5X478AeH/DWg3ep2d7cRXAmVoLSWZGQkvgqBgNgKSeSTxzmu0+FN1DceCLeKKTdJbzTJMOcqxkZx9flYc5Ppzg1x2hfCjV9R1n7X4ok3QI58wNcGSW5xjowJ2o3fJ3cY4zur2Ozsbawtkt7O1ht4UztjhQIq5OTgDjrQBa2jHSjFLRQAmK8z0T/AJL/AOI/+wcn/oNvXpteZaJ/ycB4j/7Byf8AoNvQB6bRRRQAUUUUAFFFFAHmXxL/AOR08BY/6CJ/9GQ16VsGMYrzb4lf8jp4B/7CR/8ARkNemHpQBy/jDw1H4r0d7HzY7acnKXDRB2jGRuHUEAgYODyDXncel3HhCLWNDvrqJob63tpHkhXEcSmVkdQDyT5SSMW44Vic4JPe+Lr3X7X7FHpBeG2l3C4uobY3MkBGCuIwCSCNw+6ecZKjmsDRvA0l9PNqGszag1vJGYQlzcMJ50ORiQqRsjwSRGp5z8xPSgDu7DTrHTYnjsLK2tUdtxWCJUDNgZJAHJ9+a0AgznHX3qC2tILSCOCCJYoolCRovAVQMAD2q1QA0Lg5xXG/FUf8W11f/tj/AOjkrtK4z4q/8k11f/tj/wCjkoA2fCH/ACJWg/8AYPt//Ra1tVi+EP8AkStB/wCwfb/+i1raoAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoooPSgDzP4l/wDI6eAf+wkf/RkNemV5T8VZbiLxT4Kltbf7TPHeu0cO8J5jB4cLuPAyeM9q6P8A4STxrj/kQf8AysQ/4UAdnRXG/wDCR+Nf+hB/8rEP+FH/AAkfjX/oQf8AysQ/4UAdlRXG/wDCR+Nf+hB/8rEP+FH/AAkfjX/oQf8AysQ/4UAdlXF/FUg/DXV8f9Mf/RyUv/CR+Nf+hB/8rEP+Fct4/wBa8UXngnUYNR8I/wBn2zeXvuBqUU2z94uPlABOSAOPWgD0Lwjx4K0H/sH2/wD6LWtqvNfDmv8Ai6Dw1pMNt4K+0wJZQrHP/akSeYoQANtIyMgZ5rY/4SPxp/0IX/lYh/woA7KiuN/4SPxr/wBCD/5WIf8ACj/hI/Gv/Qg/+ViH/CgDsqK43/hI/Gv/AEIP/lYh/wAKP+Ej8a/9CD/5WIf8KAOyrzL4Hf8AIlXn/YRcf+Q462v+Ej8a4/5EH/ysQ/4Vwnwt1bxDYeGriLSfDP8AacDXrF5/t8cG1tiDbtYEnoDn3oA9tzS1xn/CR+NP+hC/8rEP+FL/AMJH40/6EH/ysQ/4UAdlRXG/8JH41/6EH/ysQ/4Uf8JH41/6EH/ysQ/4UAdlSVx3/CR+Nf8AoQf/ACsQ/wCFJ/wkfjX/AKEL/wArEP8AhQBi6Jz8fvEZHT+z0H/jtvXpnavEtM1bX0+L2sXkPhnzdTkslEth9vjHlLiH5vNIwei8D+97Gu8/4SPxp/0IP/lYh/woA68oCCCOtAQADAH4CuQ/4SPxr/0IP/lYh/wo/wCEj8a/9CD/AOViH/CgDsqK43/hI/Gv/Qg/+ViH/Cj/AISPxr/0IP8A5WIf8KAOyrzP4lH/AIrTwD/2Ej/6MhrZPiPxrj/kQf8AysQ/4VxfivUda1Dxp4KGsaD/AGV5eojyv9MSfzP3kWfugYxhfzoA9nooooAKKKKACiiigAooooAKxfF3/Il69/2Drj/0W1bVYvi7/kS9e/7B1x/6LagDG+FP/JNdI/7bf+jnrs68l+H+teKLTwTp0GneEv7QtV83Zc/2lHFv/eNn5WGRyT+VdP8A8JJ41/6EH/ysQ/4UAdnRXG/8JH41/wChB/8AKxD/AIUf8JH41/6EH/ysQ/4UAdlRXG/8JH41/wChB/8AKxD/AIUf8JH41/6EH/ysQ/4UAdlXmXw0IPjXx7j/AKCP/tSatr/hI/G3/Qg/+ViH/CuE8E6r4htfFHiyWw8Nfbria8DXMBvo4vszb5fl3EYfqwyP7v0oA9sxnGRQFUHOK47/AISPxp/0IX/lYh/wpf8AhI/Gn/Qg/wDlYh/woA7KiuN/4SPxr/0IP/lYh/wo/wCEj8a/9CD/AOViH/CgDsqM1xv/AAkfjX/oQf8AysQ/4Un/AAkfjX/oQf8AysQ/4UAIP+S0g/8AUu/+3FdpXkY1nxSPiZ9qPhIHUP7H8v7H/aUf+q87Pmb8Y68bevvXVf8ACR+NP+hC/wDKxD/hQB2VFcb/AMJH41/6EH/ysQ/4Uf8ACR+Nf+hB/wDKxD/hQB2VFcb/AMJH41/6EH/ysQ/4Uf8ACR+Nf+hB/wDKxD/hQB2VcX8QCM+Ff+xitP8A2el/4STxrj/kQf8AysQ/4Vy/jDWfFNw+gC98J/Y/K1m3lh/4mUcnnSDdtj4A27s9TwMUAetnpTCmT+Ncf/wkfjX/AKEL/wArEP8AhS/8JH41/wChB/8AKxD/AIUAdfs5p9cb/wAJH41/6EH/AMrEP+FH/CR+Nf8AoQf/ACsQ/wCFAHZUVxv/AAkfjX/oQf8AysQ/4Uf8JH41/wChB/8AKxD/AIUAa/i//kSte/7B1x/6Lal8If8AIlaD/wBg63/9FrXIeI9f8Wz+GdXhufBX2e3eymWSf+1Yn8tShy20DJwOcd66/wAIf8iVoP8A2Drf/wBFrQBtUUUUAFFFFABRRRQAUUUUAFeZ/DXjxr49/wCwiP8A0ZNXpleMeE9R1nT/ABp40Oj6D/apk1FvN/0xIPLxJLt+91zlvyoA9l2j8qNo9K47/hI/Gn/Qhf8AlYh/wpf+Ej8af9CD/wCViH/CgDsqK43/AISPxr/0IP8A5WIf8KP+Ej8a/wDQg/8AlYh/woA7Kkrjv+Ej8a/9CD/5WIf8KT/hI/Gn/Qhf+ViH/CgDF1v/AJL94cOD/wAg9/8A0G4r02vEdT1XxA/xd0e7l8MiLU47NhFYfbo281cTfN5gGB1bgj+H3Fd3/wAJH414/wCKBH/g4h/woA7OiuN/4SPxr/0IP/lYh/wo/wCEj8a/9CD/AOViH/CgDsqK43/hI/Gv/Qg/+ViH/Cj/AISPxr/0IP8A5WIf8KAOyrzL44HPgqzx31FP/RclbX/CR+Nf+hB/8rEP+FcH8UtW8Q6h4agh1bwydMt1vVZZ/t8c4ZgjjbtUAjIJPPHFAHtueadXFL4i8a/9CF/5WIef04+lP/4SPxp/0IP/AJWIf8KAOyorjf8AhI/Gv/Qg/wDlYh/wo/4SPxr/ANCD/wCViH/CgDsqK43/AISPxr/0IP8A5WIf8KP+Ej8a/wDQg/8AlYh/woA2PF3/ACJevf8AYOuP/RbVjfCrn4a6Rj/pt/6OesnxFr/i2fwxqsVz4K+zwSWcyyT/ANqQv5alDltoHzYHOO9ZvgDWvFFp4J06DTvCR1C1XzdlydSii3/vGz8pGRyT+VAHrDIGGCM0FAetcf8A8JJ41/6EH/ysQ/4Uv/CR+Nf+hB/8rEP+FAHY4pa43/hI/Gv/AEIP/lYh/wAKP+Ej8a/9CD/5WIf8KAOyorjf+Ej8a/8AQg/+ViH/AApD4j8akf8AIg/+ViH/AAoAT4fdfFX/AGMV3/7JXaVwXwymmmtPED3MH2a4fXblpYPMD+W5CFl3Dg4JxxXe0AFFFFABRRRQAUUUUAFcZ8Vf+Sa6v/2x/wDRyV2dcZ8Vefhrq+en7n/0clAHZZGaWuKHiLxqOvgLn/sMQ8/pxT/+Ej8a/wDQg/8AlYh/woA7KiuN/wCEj8a/9CD/AOViH/Cj/hI/Gv8A0IP/AJWIf8KAOyorjf8AhI/Gv/Qg/wDlYh/wo/4SPxr/ANCD/wCViH/CgDsSQBk9K434Vf8AJN9JH/Xb/wBHPQfEfjUjH/CA/wDlYh/wrlvAGteKLTwTp0GneE/7QtV8zy7g6lFF5mZGJ+UjIwSR74oA9corjP8AhJPGv/Qg/wDlYh/wpf8AhI/Gv/Qg/wDlYh/woA7KiuN/4SPxr/0IP/lYh/wo/wCEj8a/9CD/AOViH/CgDsqK43/hI/Gv/Qg/+ViH/Ck/4SPxqf8AmQf/ACsQ/wCFACeGyP8AhZfjfn/nx/8ARJrtK8k0XWvE0fjbxNPB4SE13KbT7Tbf2nGvkYjO35iMPkc+1dR/wknjX/oQf/KxD/hQB2dFcb/wkfjX/oQf/KxD/hR/wkfjX/oQf/KxD/hQB2VFcb/wkfjX/oQf/KxD/hR/wkfjX/oQf/KxD/hQB2VcX4jI/wCFl+CP+37/ANEinf8ACR+NT/zIWP8AuMQ/4Vyus614ml8b+F7ifwiIbuH7Uba2/tONvPJjAf5gMLgc89aAPXKZtJHeuP8A+Ek8a/8AQg/+ViH/AApf+Ej8a/8AQg/+ViH/AAoA7ADpkU6uN/4SPxr/ANCD/wCViH/Cj/hI/Gv/AEIP/lYh/wAKAOypM1x3/CR+Nf8AoQf/ACsQ/wCFJ/wkfjX/AKEL/wArEP8AhQBi/HAj/hCrP/sIJ/6Lkr02vEPijq3iG/8ADUEWq+Gf7Mt1vVZJ/t8c+5gjjbtUAjgk/hXt9ABRRRQAUUUUAFFFFABRRRQBxnxV/wCSa6v/ANsf/RyVs+ED/wAUVoP/AGD7f/0WtY3xV/5Jrq//AGx/9HJWR4b1/wAXQeGtIhtvBf2i3jsoVjn/ALUiTzFCABtpGRkDPNAHpVFcZ/wkfjX/AKEL/wArEP8AhS/8JH41/wChB/8AKxD/AIUAdlRXG/8ACR+Nf+hB/wDKxD/hR/wkfjX/AKEH/wArEP8AhQB2VJmuO/4SPxr/ANCD/wCViH/Ck/4SPxpj/kQv/KvD/hQBi/A7/kSrz/sIuP8AyHHXpe0eleJ/C7VvENh4auItJ8M/2nAb1i8/2+ODa2xBtwwJPQHPvXef8JH40/6EL/ysQ/4UAdgFAHA75p1cb/wkfjX/AKEH/wArEP8AhR/wkfjX/oQf/KxD/hQB2VFcb/wkfjX/AKEH/wArEP8AhR/wkfjX/oQf/KxD/hQB2VeZaJz8f/EZHT+z0H/jtvW1/wAJH41/6EH/AMrEP+FcJpmra+nxe1i8h8M+bqclkomsPt8Y8pcQ/N5pGD0Xgf3vY0Ae25pa4z/hI/Gn/Qhf+ViH/Cl/4SPxp/0IP/lYh/woA7KiuN/4SPxr/wBCD/5WIf8ACj/hI/Gv/Qg/+ViH/CgDsqSuO/4SPxr/ANCD/wCViH/Ck/4SPxpj/kQv/KxD/hQBi/Eo58a+Av8AsJH/ANGQ16bXiXjfVvEF14n8JSX/AIa+w3EF9utoPt8cv2lt8Z25AwnIUZP972ru/wDhI/Gv/Qg/+ViH/CgDr9ueMY+hpdo9K4//AISPxr/0IP8A5WIf8KP+Ej8a/wDQg/8AlYh/woA7Glrjf+Ej8a/9CD/5WIf8KP8AhI/Gv/Qg/wDlYh/woA7KuM+KpH/CtdX/AO2P/o5KX/hI/Gv/AEIP/lYh/wAK5X4ga34nvPBOowal4R+wWreXvuBqcUuz94uPlAyckAcetAHoXhD/AJErQf8AsH2//ota2qxfCH/IlaD/ANg63/8ARa1tUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAeZfEof8Vr4C99ROf8Av5DXpuK8z+JX/I6eAf8AsJH/ANGQ16ZQAUUUUAFFFFABXGfFUD/hW+rnH/PH/wBHJXZ1xnxV/wCSa6v/ANsf/RyUAa/hBR/whegnHP8AZ1v/AOi1rcrF8If8iVoP/YPt/wD0WtbVABRRRQAUUUUAFeZfA4D/AIQq7741F/8A0XHXpteY/A//AJEm87j+0JPcH93HQB6aCD05pa4fT/iLYah4vm8NpaXIu0uJYVk+VkYRg5Y85HKsOAe3rxta94t0jw3Ar6jdqjuMxwoNzuPUKOce/T3oA3s0V59Z/F3w1Ozi5N5YhVzvuIMhvp5Zf9cV3MFzFcwpPDMksLjKvGwZWHqCOooAsU3K+vWlPQ1g65r9vorWUUrAz3t1HbQQ78M5Z1Ut06KDn0PAJGRQByGiAf8AC/8AxFwP+QcuP++bevTq8y0T/kv/AIj/AOwcn/oNvXptABRRRQAUUUUAFeZfEof8Vr4C4H/IRP8A6Mhr02vM/iV/yOngH/sJH/0ZDQB6ZRRRQAUUUUAFFFFABRRRQAVi+Lv+RL17/sHXH/otq2qxfF3/ACJevf8AYOuP/RbUAYvwqA/4VtpHH/Pb/wBHPXaVxnwq/wCSbaR/22/9HPXZ0AFFFFABRRRQAV5l8NR/xWvj7/sIj/0ZNXpteZ/DT/kdfH3/AGER/wCjJqAPTMUUUUAFFFFABRRRQBxf/NacY/5l7P8A5MV2eRnFcYf+S0nkD/inep/6+Kd4t8eWfhC4sVu7ae4ju1kIMJG5SmOMNgHqc85GOlAHY5HrS5rJ/ta3i0qPUrtjZW7RLK/2oCMxBgDhwTwecEdc1ybfF7w2LzyQl+0WcfaRAAm31wTux/wGgD0KisfRfEWl+IbVrnS72K4iUgNjIZD6MpAI/GtfI6Z5oAXNcV8QMf8AFKkH/mYbTn/vqupu72Gytpbi4kWOGFTJI7nAVR1JPpXAeINZGvaP4P1RbeWCGbxDblEkxv2h5FUsO2QAcdiQOetAHpdFA6UUAFFFFABRRRQBieL1H/CF68f+odcf+i2pfCH/ACJeg/8AYOt//Ra0ni//AJErXv8AsHXH/otqXwh/yJWg/wDYOt//AEWtAG1RRRQAUUUUAFFFFABRRRQAV5l8NQP+E18e8DjUf/ak1em15n8NP+R18ff9hEf+jJqAPTMUUUUAFFFFABSYpaO1AHmOtgf8L/8ADvHXTn/9BuK9OrzLW/8Akv8A4c/7B7/+g3Fem0AFFFFABRRRQAV5l8cAB4KtO2dRT/0XJXpteZfHHP8AwhdngZP9opx6/u5KAPTOKMisTxPryeG/Dt3rDxGZYAuIwQNxZgg59MsKg8M+JrXxNpb6lbW91bwLIYyLlAjEgAk8EggZAz7H0oA6PNJkHvXD6r8UvDul3LW6yXF7IjbXNmisFPpuZgD+BNaWh+ONB8RTi3sL3F2Rk28ymNxjqADwxHfaTjvQB09FM3EDk0Fs8Z5x0oAxvFwX/hC9eOP+Ydcf+i2rH+FIH/CttIOP+e3/AKOeotb8R22q6T4x063Acabp7rNKDkGRo5CVHuoUZ+pHbmb4U/8AJNdI/wC23/o56AOzooooAKKKKACiiigDi/h8Pm8VH08RXf8A7JXaVxfw+6+Kv+xiu/8A2Su0oAKKKKACiiigAooooAK4z4q/8k11f/tj/wCjkrs64z4q/wDJNdX/AO2P/o5KAOz70Ud6KACiiigAooooAK4v4VAf8K20g4/57f8Ao567TtXF/Cs4+G2k+v77g/8AXZ6AOzBB6Uua4Lw78StP8Q682lW1nemQPLidVBi8tScOSTuUEY4I4LKOprb8Q+MdH8NRj7fckzsMpbRDdI49dvYe5wPegDos0Vwem/FfwzfyCOaW5sXLAKLuIDdnvuQsoH1IrtIZ1mjWSORHRxlWQ5BHqD6UAWKTcMdaO1c/q/iKHSL3TLBo3mvNQuVhhhXrtyN8h77VXk8cn0GSADM8OcfErxv0wPsP/ok12lcV4c/5KV44wef9B/8ARJpNQ+IVjpfjKLw5JbTSTSeShljwQryNjBBwcAMh3DOc460AdtRmsrVdasNEsnutSu47aIHGX/iOM4A6scDoK5KD4v8AhuW7MUqahbxjOJ5IAUOPZWLf+O0AehUVnaXqtjrNjHe6fdR3MEgyrxnP4H0PseRWhkfjQAtcX4k/5KV4JHH/AC/f+iRW7ret2nh/SLjUr6QCGEfdHVieij3J4H1rlNQu3vvG3w/uZoZLeWaG8laCTIaMmBSVIIzkZ74xQB6FRRRQAUUUUAFJilooA8y+OAx4LtMd9RT/ANFyV6bXmXxx/wCRKs/+win/AKLkr02gAooooAKKKKACiiigAooooA4z4q/8k11f/tj/AOjkrY8IAf8ACF6Ccf8AMPt//Ra1j/FX/kmur/8AbH/0clbPhD/kStB/7B9v/wCi1oA2qKKKACiiigApMUtFAHmXwPH/ABRV33/4mL/+i469NrzP4Hf8iVef9hB//RcdemUAFFFFABRRRQAV5jogA+P/AIj46acn/oNvXp1eZaL/AMl/8R/9g5P/AEG3oA9M4oyM1w3if4iWPhLWYtOvLS5m8y3E5eALx8xXGCf9lvpwO/y9NqOq2WkWL3l/dxW1snV3OOcZAA6kkZ4HPoKANSivPR8XvDTXhhKX6x5x9oMAKY9cAlv/AB3PtXXaVrena3Zi70y8juoc4JQ8g+jA8qfY4oA1KTAoz+HFZuo6rbaRptzf30gitoFLuW7DsB6kkgAepAoA4X4lD/itfAOB/wAxE/8AoyGvTa8i8YX51TXPhtfmER/abpJ/LDbim5oOCe/Xr+leu0AFFFFABRRRQAVxfxVA/wCFbauf+uP/AKOSu0rjPir/AMk11f8A7Y/+jkoA2fCH/IlaD/2D7f8A9FrW1WL4Q/5ErQf+wfb/APota2qACiiigAooooAKKKKACiiigAooooAKKKKAEzS1z+veK9L8NzadDfySedqFwLe2jjTczOSB+XI5963geB/XrQA6iqzXUKSiJ5kEh5CE4Yj2HU1YzQAuaK5+LxXpr+LpfDW+RdTjgFxtdNqunHKnueTx7H0roKAPM/iV/wAjp4B/7CR/9GQ16ZXmfxK/5HTwD/2Ej/6Mhr0ygAooooAKKKKACuM+Kv8AyTXV/wDtj/6OSuzrjPir/wAk11f/ALY/+jkoA2fCH/IlaD/2D7f/ANFrW1WL4Q/5ErQf+wfb/wDota2qACiiigAooooAD0rxT4e3Wq2nwn1q40W3Mt+LxxEqpuK/JEGIXuVGcAE5OODXtdeZfBAZ8F3ZJyRqD/8AouOgDzCS38UeG3GtTLqNg92ZY/tMvDlznduHUMwOQWAJxuB4yMaa5muLotNLLLNI25pJHLMx9STyT7nmvqe8s7S+tmtry2huLdsAxSoGQ4PHB464/wAivAPEXwx1bwzp9zqst7Z3FjbSAAxs3mMhYAHaRgHJHAJx6mgDls7U3AkKT19fp7+nrXfaN4b+IehLFNo0ckaTxrI0fnRhAWG7a8chyHHAPX611/wz0DSJvCFhqcmm2c1880shuJIQ8m5ZWVSGOduFVQMV6ME5ycflQB5m2q/FgwbBoWnKxXHmB492fX/XY/StDw14Jv7bXU8R+JNUOoauimOJU4jhByPl6Z4PTAA3NwThq74qCMYpNoznFAHmmic/H7xEf+ocn/oNvXpteZaJ/wAnAeI/+wcn/oNvXptABRRRQAUUUUAFeZ/Er/kdPAP/AGEj/wCjIa9MrzP4lf8AI6eAf+wkf/RkNAHplFFHagApMiq13dxWVrNdTyBIYUaSRz0VVGSfyrO8N+IrHxRo0WraaZTZylhGZY9pO0kE49Mj9KANuiq/222zj7RFn03ipA+V3KQeMigCTNFc5r3izTPDdxpsWpyyRDULj7PDII8qG4++ei9f5+hroA3OPfHSgB9Yvi7/AJEvXv8AsHXH/otq2qxfF3/Il69/2Drj/wBFtQBjfCr/AJJtpH/bb/0c9dnXGfCr/km2kf8Abb/0c9dnQAUUUUAFFFFABXmfw0/5HXx9/wBhEf8AoyavTK8z+Gn/ACOvj7/sIj/0ZNQB6ZRRRQAUUUUAFFFFAHFn/ktPHX/hHf8A24ryjxXZ+K/EWrX+o6po17bR2iOxQriO3iTPAc8Scc5Xryfu9PV/+a0/9y7/AO3FdjtwPTHT2oA+WNV1zU9YlWTUNQubsgjaGb5UOAuVQcDoOg6jJBqkjfIGO0bsHg4HP0NeweOPhfca/rKX2i/2faRvFsnikVkDPuzv+UEHIIHTt71yPwt0u01PxfLb6rZR3H2e0lfyZlyBJvRCShyOjHrn196AKvhzwp4n1G0OtaEGRkcxrItx5Uj8AsVPAK/N64JB+ld5aah8WbWPy5NItLpgc77hoi2P+ASqP0r0u3tobSBILeCOGFBhIo1Cqo9ABwKnwM5xQB5ZH4Y8X+L7uP8A4S6eKy0qOQsdOt3H7w8YGVz8vXkkkYwAM5Gz46hjt4vCMMKLFEniCzRUUYCqA4AA7fh9K7oqM5rjPiD18K/9jFaf+z0AdpRRRQAUUUUAFFFFAGJ4v/5ErXv+wdcf+i2pfCH/ACJWg/8AYOt//Ra0ni//AJErXv8AsHXH/otqXwh/yJWg/wDYOt//AEWtAG1RRRQAZornrTxZpd74qvvDttJJJfWMayT4T5FBxwW9fmHH19DW6X5HOPbFAElJkVV/tCz+0fZ/tcHn9PKEi7vyzVLW9ctdA0S61a9Mn2a2XfIYo9xxnGQPx/r0oA18ilrO0rU7XV9NttRs5BJa3MYkjfGOD6+/P860aACvM/hp/wAjr4+/7CI/9GTV6ZXmfw0/5HXx9/2ER/6MmoA9MooooAKKKKACjtRR2oA8y1v/AJL/AOHP+we//oNxXpteZa3/AMl/8Of9g9//AEG4r02gAooooAKKKKACvMvjiM+CrMYJ/wCJinQf9M5K9NrzL44/8iVZ/wDYRT/0XJQBmfEweKNX1mPRbPSrt9LCqUkt0LJM7DALt91QpyAp+pJyAPPby/1zTLR/D891dW0No0iNYiTaoLEZBAxuXPIySOSQTnn6e2cY2jHoOlcV4+8GnxZpiCyW1h1OGRWSeVcF0G4bC6gsF+bdwDyB65AB4BFIHyQBgHIH/wBbtWroOhah4j1Eafpqq8yxtIWZ/LWNVwM7hnByQAAD1B4FWm8LXWieNdN0HWI4nW4uLYt5LsUlid1Q4zgjuM+x9q+hrDRtL0vf/Z+nWtn5m3f9nhWPdtzjO0DOMn8zQB5ppY+LOlIsYsxeRqOEu5oZAP8AgQkVj+JNW5oPib4gkWyufsmiWrgiaeBlywyASNrs2cEkAFemCa9Sxx0pNi+lAHFXXh208M/DPWdNsgxjSxuWLvgM7FGOTgYz0H0FSfCo/wDFttI/7bf+jnrY8XKP+EL17/sHXH/otqx/hTx8NdI/7bf+jnoA7OiiigAooooAKKKKAOL+H3XxV/2MV3/7JXaVxfw+6+Kv+xiu/wD2Su0PSgAzRXPTeK9Lg8XW/hlpHbUZoTOFVNyogz94/wAPTv7eorbeeOPG+RUz03HGaAJqQkAZJxUK3CPny3R+cZDDrUm44yTigB9Fc9J4s0y38X2/hmZ5I9SuIPPiVo/kdRnOG7n5W/KuhoAK4z4q/wDJNdX/AO2P/o5K7OuM+Kv/ACTXV/8Atj/6OSgDs+9FHeigAooooAKKKKAA8CvItCv9asfgnp76FZTXN0xkTMab3hUzSAuF5LntgA9cngEV64enFcV8LEU/DjSeM584nI6/vn5/GgDxNItd8JSrOEvtKlvoXRHdSjsm4blHGVIKjPRsbT3Gcue4kmuXeZ3klZtzvKxYt15JOTX1PeabZ6hbvbXttDcRORujlQMDjpwc9Oo9K+evEvw81fwnZrqE91a3FqsqxBoXcuAc4ZwVwo7Zz3HfmgDACO7iFEaR3baiKMliTgDHr6V6Hp3hj4j+GZBHpGZIW+ZkjuI2iyfVZCpDdiVAPvXW/DHRdJk8H6dftp1m98JJSbhoVMmRK4B3Yz0AxXoO32oA8xm1X4rvbvGNB0+MsuBKrx7l9+ZiD+VbHhXwbPpuoy65r1yuoa5NlRKDlIk7BOBz2zgYB2gYyT2+OKbsHpQBwukSTRePPH0lvB586x2Rjh37N7eQ2F3HgZPGe1eRajb+KPt7+KdSsb6C4injka5mt/LWOTsQG/hBUDvjIB5NezeHBu+JXjcHp/oH/ok11UttDNBJFNCkkci7XjdQysuMEEdCMetAHyzqWqX2oz/aL+8nupSCFkmk3bckkqOuBkngYA7VCSAMkgE5+bsO+a9G8a/C68N9qWsaQbGLTRH9oFsNysCqEsEAUg5IyOR16infB/StN1eTWG1CwtbsxLbhfPiWTbnzM4DA45A/KgDK0Lwr41t7K21vQxJEbn5hGs4jcgE7TIsm1WHoOeCOldnBqnxZggWN9CsJ2A/1kjRhj/3zMB+lelLEiIqIiqijAUDAAHQD06VLgDoKAPN9N8Ga5rurQ6n42uop4YAGg02I5jVsn74xg4GO5znBJA50/EQx8SfBAwME3xx/2xFdrtHpXGeJP+SmeCP+3/8A9EigDtKKKKACiiigAooooA8y+OP/ACJVn/2EU/8ARclem15l8cf+RKs/+win/ouSvTaACiiopHWOJ3dlVFBLFugHegCXNFc/4a8Vad4t0w6jpTTNbCZot0kZQsVx0z1HP8/Q1qveW6MQ1zChHUFwD70AW80Zqql3BJIES4iYn+FWBP6VkS+K9Nt/F8HhmV5E1G4g8+NSmEdec4buflbj2oA6GiiigDjPir/yTXV/+2P/AKOStnwh/wAiVoP/AGD7f/0WtY3xV/5Jrq//AGx/9HJWz4Q/5ErQf+wfb/8AotaANqiiigAooooAKKKKAPM/gd/yJV5/2EH/APRcdemV5n8Dv+RKvP8AsIP/AOi469MoAKKKKACiiigAry7SWZPj14lZELsNNUhc4ydtvxXqNeZaJ/yX7xED/wBA5eP+A29AHnmr2Pi+/vrvXdQ0y8imsZBI0wUqsIVvlEeTyilT9wEDO4k9awNV1jUNTmN1qF7cXcrbiskkmQuTnCjOAM9AvGBx1xX1WYwc5AIPXI61494s+E19qOvXF/oradDaSopW1wYfLITbhVVSOcZzkcn25APL8bhxyCeCRkfp711nhzwz4vlsIte0DzEEkpVSlyscjAH7zBsBlJ4wSenA5zWt8IdF03WZ9Wk1OxtrxoooVQTxiRRuL7yFYYPKLzj8eTn2q3t4reGOGGNI4UUKiKMBVHAAHagDze21H4sQQhJNGsrjHWSYxBj/AN8zKP0plv4M8S+LLiC68aXyx2kUnmLpluQAT8wwWTgDHfLnDHlTmvU9oxjFJtHpQB5n8SF2+NPAI/6iJ/8ARkNenV5n8Sv+R08A/wDYSP8A6Mhr0ygAooooAKKKKACuM+Kv/JNdX/7Y/wDo5K7OuM+Kv/JNdX/7Y/8Ao5KANnwh/wAiVoP/AGD7f/0WtbVYvhD/AJErQf8AsH2//ota2qACiiigAooooAKKKKACiiigAooooAKKKKAPH0b/AISn9ol0lw1p4dsvkUjI807efrmT/wAcFeuFgOScDrXjnwfJuviH8Q7yQ5kN8FHqAZZuP/HRXZ/E7xH/AMIz4B1S9RwtxJH9ng9fMf5QR9BuP/AaAPD/ABU2o+JdT8R/EDT5StvouoQQWuOQVU43j33bG+jmvo7QtXi13QbDVYDiK7gSUL125AJH4HivN/BQ8IWXwng8O3viHRonvraQ3X+mxbg8oPX5vvKCo/4AKj+AutNJoGo+HJ5labSrlvLKsGBjcnoR1AZXOenzCgBfi+//AAjfiPwn40jBBtLr7NcEdXjYbtv5eZ+deuqchSDlSM59fSvMfj3EsnwyldhzFdwuufXJXj8Ca7jwtK9x4T0WaQku9jAzE9yYwT/OgDjfiV/yOngH/sJH/wBGQ16ZXmfxL/5HXwD/ANhE/wDoyGvTKACiiigAooooAK4z4q/8k11f/tj/AOjkrs64z4q/8k11f/tj/wCjkoA2fCH/ACJWg/8AYPt//Ra1tVi+EP8AkStB/wCwfb/+i1raoAKKKKACiiigArzP4Hf8iVef9hB//RcdemV5l8D/APkSrz/sIP8A+i46AOv8SareaXoF5eabaPfXkSgQ26ozF2JA6LycZJI64HbrXkjQ+PPH9+thqa3djp7tvlBtmhgjUEE9eXJ4wpY9c8AEj3UJgY6fjS7BxwOKAMLw34ZsvC+nfYdP8142kaSSSV9zOxxzxwOABgAD25JroKTaPSloAKKKKAPM9E/5OA8R/wDYOT/0G3r0yvMtE/5OA8R/9g5P/QbevTaACiiigAooooAK8z+JX/I6eAf+wkf/AEZDXpleZ/Er/kdfAP8A2ET/AOjIaAPTKKKKAPL/AI5axLYeARYWuTcapcJajacHafmb88Af8CrudB0iLQfD+n6VDt2WlukWRwCQBk/icn8TXl3xhJn8ffDyxY/um1AFs9DmWFf8fzr2VgNvTt3oA+cPhD8OfD3jTwze3+sw3Ek8V4YldJiny7FPrzyxrb0a1uPh58adO8M6bqF1caLqdv5rW0j7/LLB+R2zujzkAfKawPhJp/jy68NXj+Fda0+xtBdlZYrqLcxfYvzD5D2wPwrT0+bVvAHxLttS8eQR6lc6ofIg1aKXcsHRTtXAA+8AeFwM4zyKAPQ/i9oi6z8NNUG0GW0QXkZx0KHLH8V3/nWv4A1w+IvA2j6nI26aSALM2esinax/FlNamvxJP4d1SF/uyWkqHPTBQ/4157+z9M03w2ZG6RX8qr9MI382NAHq9Yvi7/kS9e/7B1x/6LatqsXxd/yJevf9g64/9FtQBjfCr/km2kf9tv8A0c9dnXGfCrj4baR/22/9HPXZ0AFFFFABRRRQAV5n8NP+R18ff9hEf+jJq9MrzP4af8jr4+/7CI/9GTUAemUUUUAFFFFABRRRQBxn/Nav+5d/9uK7M9K4z/mtX/cu/wDtxXZ9qAPGPE/iPx9qetXelaVpd7Z2y3DwxSwWjhpV37Q3mMNqgkZ3Argc5rpPBPw4tPDc1vqNxLLPqioQcPiOMt1Cgcn3JJB64zXoATjpTtoznFAC0UUUAFcX8QevhX/sYrT/ANnrtK4v4g9fCv8A2MVp/wCz0AdpRRRQAUUUUAFFFFAGJ4v/AORK17/sHXH/AKLal8If8iVoP/YOt/8A0WtJ4v8A+RK17/sHXH/otqPCBH/CF6D/ANg63/8ARa0AbdUNU1CPStKvdRnz5NpA874/uopJ/lV+uK+LEzW/wu8QSRkgm3CHHozKp/QmgDnPgbZTTeG9R8R3h3Xus30krS46qpx/6Fvqh8QNb1nxH43tPh/4fvGsw6h9QuYzhkUjcV+gQg8HksBxzXX/AAliWH4XaAqjgwFz9Wdia4jwMwb9onxeZyDL9nkCEnsHi/pj8qANkfALwcLEQEX/AJ23m6Fx8+fpt2/pXUeGfC91pXhafQdY1B9Vt5PMjWSXO7yGXGw569Wx7V1mR+nSk+U4I/nQB5R8EL2a30zWvC9226fRL54lOeNhZh+jI/5161Xi/gAm3+PXjW2T/VvG0pA6bvMX/wCLNe0UAFeZ/DT/AJHXx9/2ER/6Mmr0yvM/hp/yOvj7/sIj/wBGTUAemUUUUAFFFFABR2oooA8y1v8A5L/4c/7B7/8AoNxXpteZa3/yX/w5/wBg5/8A0G4r02gAooooAKKKKACvMvjj/wAiVZ/9hFP/AEXJXpteZfHD/kSrP/sIp/6LkoA9MNeb/EDxD4n0y9g0/wAPaTNKkkJZ7yO0afa5J+VQBtBG05yG+/0HU+k1X8lcABRjOce/4f5FAHj3hz4c6l4ku21fxlLdusm0xwSSfvJV4Pzf3E5+6MN1PykDPs4Bz7UgXkcH86fQAUUUUAYvi7/kS9e/7B1x/wCi2rG+FX/JNtI/7bf+jnrZ8Xf8iVr3/YOuP/RbVjfCr/km2kf9tv8A0c9AHZ0UUUAFFFFABRRRQBxfw+6+Kv8AsYrv/wBkrsie/Qetcb8Puvir/sYrv/2St3xJM9t4X1a4jLB4rKZ1x6hCRQB5r8Jm/wCEk8X+LfGUg3faLkWdsf7sa4OP++RHVD40WNvqvj3wNp10GNvd3JhlVTglWkjU8/Qmtn4AQLH8OA4ABkvpXbHc4Vef++R+lZ3xZGPip8Ov+v5P/R0dAF67+AvhhozJpl1qOn3ajMc0c+4BvUgjOPoRUPw68Ua5Y+Lr3wJ4puXub22UtaXbHLSqOcE9WBB3AnnAIPpXr3AHGK8W8QHP7Tfh5bfbuWyHmn0+Sfr/AMBI/SgC98bI5NKt/D3i61UC50m/UNt6sjckZ9Mpj/gR9a9UtLiO7tYbmJt0UyCRD6hhkH8q4T41xK/wm1lmAJjMDL9fOjB/Qn863fh5O9x8O/Dsj5Lf2fCpJ74UDP6UAdPXGfFX/kmur/8AbH/0cldnXGfFX/kmur/9sf8A0clAHZ96KKKACiiigAooooAK4z4Vf8k10j6Tf+jnrs64z4Vf8k10j6Tf+jnoA0/Euqahpnh+8vNMsZLy8jCiKBQXLEsFyAvUDOfw5xXlNro/jL4japHHr7XVlpcD+ayvbmKNc/worAb2HI3HdgEnJztPuezPajYBjA9qAMfw94esfDOmJYaesvkhi5MshZmY8E+gzgcDA9q26TAHaloAKKKKAOM8N/8AJS/G/wD24f8Aok12Z6Vxnhv/AJKX43/7cP8A0Sa7PtQB4RqWp/ELxjePpn9nXmm207bHiW3eGMKc5MkrDONvBGfm7L2Povg/wJYeEQ00E0093KgWWVmwp9QqDgc85OTyea68oD1WnBQBgCgBaKKKACuM8R/8lL8Ef9v/AP6JFdnXF+I/+Sl+CP8At/8A/RIoA7SiiigAooooAKKKKAPMvjj/AMiVZ/8AYRT/ANFyV6bXmXxx/wCRKs/+win/AKLkr02gA7V558ZtefQfhxfGFik18y2cbD/byW/8dVvzr0M9K8X+PrGRfCtieYZtQYsD04Cgf+hmgD0bwboaeH/Buk6UqBGgtkWQD++Ruf8ANi3514n4D8EaJ428W+NTrMdwxtb/APdeXKUwHeXIP/fI/KvowABcdq+cvAmneL7/AMXeND4V1y10sJqB+0+dAsnm5kl24ypxjDfnQB6l4f8AhP4V8M61Bq+m29yt3Bu8tnnZwMgqeOnQmuf+Nkb6VB4f8XWq4utJv1VivBaNuSM+mUx/wI+tdV4Q0vxrYXVw/irxBaapAyAQpDbrGUbPJJCr2rO+NkayfCbWWYcoYGHsfOQfyJ/OgDu7S4ju7WG5ibdFMgkQ+oYZB/KrNcx8PJ3uPh34dkfJb+z4VJPfCgZ/SunoA4z4q/8AJNdX/wC2P/o5K2fCH/IlaD/2D7f/ANFrWN8Vf+Sa6v8A9sf/AEclbPhD/kStB/7B9v8A+i1oA2qKKKACiiigAooooA8z+B3/ACJV5/2EH/8ARcdemV5n8Dv+RKvP+wg//ouOvTKACiiigAooooAK8z0T/k4DxH/2Dk/9Bt69MrzLRP8Ak4DxH/2Dk/8AQbegD0xvun6V4Zq3iL4ieILz7Nb6VfadBI5jjjt7VkJBORulYccEZYYGR0Fe5npTQvOSOfWgDhvA/gG08IgXTyvcanNEEmdTiNRnJCL+XJyTjIxnFd3/ACpNg44FOoAKKKKAPM/iV/yOngH/ALCR/wDRkNemV5n8Sv8AkdfAP/YRP/oyGvTKACiiigAooooAK4z4q/8AJNdX/wC2P/o5K7OuM+Kv/JNdX/7Y/wDo5KANnwh/yJWg/wDYPt//AEWtbVYvhD/kStB/7B9v/wCi1raoAKKKKACiiigAooooAKKKKACiiigAooooA8Z+H6/2H8b/ABvpDjaLzN4g9fmD4H4TfpUXxLz4u+JfhnwVGd1sj/bLwAkZHOenQhEYfV63fGPhzVLb4j+HfF2i2clyyH7JfxRgf6o5G78Ax/Ja9L2DKnHTv3oA40/CfwLyf+EbtT+Ln/2avPJbC3+G/wActJfToDb6NrcC2wRc7AxwuAT1w4jY+zV7uRkYqMxqTnaM/wCTQB5P8f7pj4N0/TIBvub7UEVEHVgqt0/Er+den6bZjTdKsrFDkW0CRL9FULXAa34d1XxL8XtJubuzkTQtFgNxFM+Cs05IOBznj5e38B9a9L25znofWgDyz4qXkFn4l8F3txJst7e8aWR8E7VV4iTx14B6V0Q+KvgvH/Ia/wDJWb/4iuw2kHpTsUAcd/wtbwV/0Gv/ACVm/wDiKP8Aha3gr/oNf+Ss3/xFdlRQBxv/AAtbwV/0Gv8AyVm/+Io/4Wt4K/6DX/krN/8AEV2VFAHG/wDC1vBX/Qa/8lZv/iK5bx/8QPDOt+CdQ07T9U866m8vZH5Eq5xIjHkqB0Br1um7QKAPOfDvxK8J2HhjSbO51bZPb2cMUqC2lbayoARkKR1Fao+KvgvH/Ia/8lZv/iK7Hbz/AIU6gDjf+FreCv8AoNf+Ss3/AMRR/wALW8Ff9Br/AMlZv/iK7KigDjf+FreCv+g1/wCSs3/xFH/C1vBX/Qa/8lZv/iK7KigDjf8Aha3gr/oNf+Ss3/xFcJ8LPGvh/wAN+Gbmz1XUPs873jShPJkfKlEGcqpHUGvbaTaM570Acd/wtbwV/wBBr/yVm/8AiKP+FreCv+g1/wCSs3/xFdlRQBxv/C1vBX/Qa/8AJWb/AOIpv/C1vBfH/E6/8lZv/iK7Sqt7HcvCfsrqjjpkdaAOV/4Wv4K/6DX/AJKzf/EUv/C1fBf/AEGv/JWb/wCIrdh1C7j+S6sZie7xJuH6VO9+wTK2lyx9DGRQB5BpfjTw/b/F3Wdcm1Hbp1zZrFDN5Mh3MBDxjbkfcbqO1d2Pit4L/wCgz/5Kzf8AxFb7z6iwDRWe32ZhVq0nkni3SQvE4OCrDFAHL/8AC1fBX/Qa/wDJWb/4ij/ha3gr/oNf+Ss3/wARXZUUAcb/AMLW8Ff9Br/yVm/+Io/4Wt4K/wCg1/5Kzf8AxFdlRQBxv/C1vBX/AEGv/JWb/wCIrivFfizRfE3jXwUNIvftJt9SHm/uXTbukix95R/dNez1BKxiX5InbnPy0AT0VDDN5o/1boR2ZSKmPSgDxr47obFvCfiJQSum6jhse5Vx/wCiv1r2AOskQZTlWGRjuDXOeOvDQ8W+D9R0fA86SPfATwBKpyn4ZGD7GmfD7+1x4I0uDW7OS2v7eLyJEk6kISqtn3Xb+tAHinwl+JOheCPDt7p2ri8W5lvGlUQw7gF2KOeR3BrZ8RahdfGfW9G07RdMvIdGtZTLc306bBgkAlevYEDvk8gCveRGF+6MUoTBz+dAHPeN9STS/Auu3jMF2WUoUnuxUqo/76IFc38ELBrD4YWDOMNdSy3BGMcFiAfxCin/ABZ0rXPEWiWPh/SbZzFf3ai8uBjZDEpBye/Uhv8AgBruNOsIdL021sbVStvbRJDGvoqgAfoKALtYXi9v+KL13nrp9wP/ACG1btN2j0FAHk3gDx/4Z0TwRp+nahqnk3UPmb0+zytjMjMOQpHQiuo/4Wr4LwP+J1/5Kzf/ABFdjtHcU6gDjf8Aha3gr/oNf+Ss3/xFH/C1vBX/AEGv/JWb/wCIrsqKAON/4Wt4K/6DX/krN/8AEUf8LW8Ff9Br/wAlZv8A4iuyooA43/ha3gr/AKDX/krN/wDEVwfgjxt4f0fxP4svL7UPKg1C9822fyZG8xd8hzgKSOGXrjrXtuKAAKAONHxV8F451r/yVm/+Ipf+FreCv+g1/wCSs3/xFdliigDjf+FreCv+g1/5Kzf/ABFH/C1vBX/Qa/8AJWb/AOIrsqKAON/4Wt4K/wCg1/5Kzf8AxFH/AAtbwV/0Gv8AyVm/+IrsqKAPJP8AhP8Awz/ws46x/af+g/2P9l87yJP9Z527bjbnpznGK6j/AIWt4L/6DX/krN/8RXZY9qWgDjf+FreCv+g1/wCSs3/xFH/C1vBX/Qa/8lZv/iK7KigDjf8Aha3gr/oNf+Ss3/xFH/C1vBX/AEGv/JWb/wCIrsqKAON/4Wt4K/6DX/krN/8AEVyvjH4geGdV/wCEfFlqfm/ZdZtrqb9xIuyJd25uVGcZHA5r1ykwKAOO/wCFreCv+g1/5Kzf/EUf8LW8Ff8AQa/8lZv/AIiuyooA43/ha3gr/oNf+Ss3/wARR/wtbwV/0Gv/ACVm/wDiK7KigDjf+FreCv8AoNf+Ss3/AMRR/wALW8Ff9Br/AMlZv/iK7KigDzbxH8SvCWoeGNWs7XVt9xcWc0USG2mXczIQBkpxya6vwg3/ABReg84/0C3HJ/6Zitzb7dKTywMcflxQA/qK5nx7pr6v4D12yjDNLJZyGNQOrqNyj8SBXTUhANAHnXwT1FL74XaXGGy9q8sEnsQ5IH/fLrXM/EDRda8L+PYPiB4etGvlVAmoW8fzNwu0k452lAOccFc1u/D7w7qng7xX4k0n7FINAuZBeWVyMbVJIBjx1zggdP4K9NC47H86APJo/j94YktVLWOqfayMG1WBWO/0zux1/H2rs/B+tavr2jtqOq6PJpbvOwhtpCd/lYGGYHkEktxgdB2roRbxCTzBEgk/v7Rn86yfFU2o2nhfUZdItZLjURAVto0GTvPAP4E5/CgDzf4UR/2r8SPHPiBCDC10beJx0YeYx6/RUP417LXEfDDwo/hDwTZ2M4K3s3+k3QPaRsfL+AAX8DXb0AHavGPCfivRvDXjXxqNXvDbNcaiTH+5d9wWSXP3VOPvDr617MeQaZ5Y9O+fx9aAOR/4Wr4L/wCg1/5Kzf8AxFH/AAtbwV/0Gv8AyVm/+IrssUUAcb/wtbwV/wBBr/yVm/8AiKP+FreCv+g1/wCSs3/xFdlRQBxv/C1vBX/Qa/8AJWb/AOIo/wCFreCv+g1/5Kzf/EV2VGKAPEdU8aeH7j4u6LrsN/u061szFNN5Eg2sRMMbduT99eg713f/AAtXwX/0Gv8AyVm/+IrstopaAON/4Wt4K/6DX/krN/8AEUf8LW8Ff9Br/wAlZv8A4iuyooA43/ha3gr/AKDX/krN/wDEUf8AC1vBX/Qa/wDJWb/4iuyooA43/ha3gr/oNf8AkrN/8RXC/FPxr4f8SeGLaz0rUPtE6XiysnkyJhQjjOWUDqRXtlJtFAHHf8LV8Ff9Br/yVm/+Io/4Wt4K/wCg1/5Kzf8AxFdlRQBxv/C1vBX/AEGv/JWb/wCIo/4Wt4K/6DX/AJKzf/EV2VFAHG/8LW8Ff9Br/wAlZv8A4ij/AIWt4K/6DX/krN/8RXZUUAebeIviX4Sv/DGq2drq++e4s5ookNtKu5mQgDJTA5NZvw/+IPhnRPBOnadqOp+RdQ+b5kf2eVsZkZhyqkdCK9Z2j0/Wl2igDjf+Fq+C8D/idf8AkrN/8RS/8LW8Ff8AQa/8lZv/AIiuyooA43/ha3gr/oNf+Ss3/wARR/wtbwV/0Gv/ACVm/wDiK7KigDjf+FreCv8AoNf+Ss3/AMRR/wALV8Ff9Br/AMlZv/iK7KkIyCKAOC+Gd5DfWXiG9t38y3udduZYnwRuUhCDg8jj1rs7+0S+0+4tJCQk8TxN9GBH9asbPmJ7nrTto9KAPIP2f53i8L6ppFx8l1Y6gwkj7rlVGD+KN+VZvxqvodK8c+B9UuFf7NaXHnylBk7UkjY498Cuk0nw9qnhv4y6neWtnLLoeuQ+bNKgG2GcZPzfU7/+/gr0vb045HegDyiT48aHcKYtF0jV9SvGH7uJLcAE+5BJ/Sl+HfhTXJvFN/448UxeRqV2pS3tCeYYzjqO2AAAPrnnmvVtlKUB6jP40AeYfHi/Fr8M57XOWvrqKBR3OD5n/tOu48L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"path": null
} | "$\\boxed{D}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "In which picture are there more black Kangaroos than white ones?\n<image1>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "counting" | MathVision |
500 | Anna has <image1>.
Barbara gave Eva <image2>.
Josef has a <image3>.
Bob has <image4>.
Who is Barbara?
<image5>
A. A
B. B
C. C
D. D
E. E | {
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"path": null
} | "$\\boxed{D}$" | [{"role": "system", "content": "Solve the question. The user asks a question, and you solves it. You first thinks about the reasoning process in the mind and then provides the user with the answer. The answer is in latex format and wrapped in $...$. The final answer must be wrapped using the \\boxed{} command. The reasoning process and answer are enclosed within <think> </think> and <answer> </answer> tags, respectively, i.e., <think> Since $1+1=2$, so the answer is $2$. </think><answer> The answer is $\\boxed{2}$ </answer>, which means assistant's output should start with <think> and end with </answer>."}, {"role": "user", "content": [{"type": "text", "text": "Anna has <image1>.\nBarbara gave Eva <image2>.\nJosef has a <image3>.\nBob has <image4>.\nWho is Barbara?\n<image5>\n\nA. A\nB. B\nC. C\nD. D\nE. E"}, {"type": "image", "image": "file:///<PATH_TO_IMAGE>"}]}] | "logic" | MathVision |
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