images
listlengths 1
1
| problem
stringlengths 14
321
| answer
stringlengths 1
103
| id
int64 91
70k
| choices
null | ground_truth
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/150.jpg"
}
] |
<image>For the pair of similar figures, use the given areas to find the scale factor from the blue to the green figure.
|
B
| 64,598 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/151.jpg"
}
] |
<image>m \angle 2 = 2 x, m \angle 3 = x. Find m \angle 1.
|
A
| 64,599 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/152.jpg"
}
] |
<image>Find m \angle 3.
|
A
| 64,600 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/153.jpg"
}
] |
<image>Find x.
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GRIcR36Yxvp7GjoutUaDJKzKzPC2b5fuyWZ6SxYa0nMrfwlTFz5s7EmL0g1sEWH0gl5S91r2T4nu0IbpJgMEVici52u06woR/razz++YH+rCrazjbekRwONw513lamprNwZQj1b/Aw53Q8MYMaxvKoKgwhsWEERXi2J9plw00S/dl89bKPXyXko3l0LGrbpqaiIhIZeJyC/huU4Zdn7EzwJvftw9jbyNfuz7HEEF+9Gkbxti4cB4aEE0DL/u+wbns3YdEh9KxaRDjU7JYtu8Iy1Oy2X0gFwqdZ7dgERERV7IrwIsvmwby72aB4OsaY2uqxc0EzYO5OdL6pmZIdFO6tGjokJmctRpDU26xsCXzBEv3ZbEi5Qg/pGbDrycuOXbG+jQT/3v6JoZGa0aHCMDry/by1NwVALwzZSj3n9mRW0QMZ164h6y7/1Vn9/MMDaTByC74juuOe/fwOrtvXSsrL6fl8//h2IGcy5/s70v3tiEMbBvG4KhQBkWF0tDXy/5FVqLOZjkdLyxhaXIWH65L5b8bUqG48sFEpvDGlPztFqcbHS1ihGMFJTSe9jGYy+jZtRUbHh9hdEkiUqEuBgW7+/sQeE1H/Mb3xHuIcw8GPuPlxN384aMVVR5vFhnG7wa244aOzenQNMiBlV2aXdahOVFYwnur9/HCsr3kpV+c8J67PZ4/j+xc148VcUnxry1k7eb94OFG9sy7CPH3NrokEaH2gcbk6U5A/xga3NoT35tcZ7o2wJFTRTR78gs4XXT+gQbe3NYvmseHtqdnuHMuHGiXEToNfb34w/CO/GF4R1bvz2HG4t18vz4FiswA/OX7Ddwf35bwhq614JCIPUzq19YaaErL+WBdGk8NjzW6JBGpKZOJBt0i8B/bHd9burvcgnpnTPps3dkwY4KIqKY8PiSW+/tE4mfnQb1XymG7becVmZm1JpV/LttN9v5shvaJYvG0YY54tIhTKygppcG0eVBYTGRMM1KfGWV0SSJC9d7Q+LQNI3B0N3xv6+GyWx6csTg5i+F/mw8NvPlNfDSPD+lA15YNjS6r2hwWtwJ8PHliaHueGNqedem5vLZ0D7uOnHSq/jcRI/h5eTCiewT/W51M2r4jpOXmE9nE3+iyRKQKnqGBBN7YFb8JPfHs1tLocurMV1vSeXfKEO7u3cbwRfJqw2FvaESkat9vy2TMP38E4KlxfXhpVFdjCxKR897QuNJKv/WV60UwkavQjZ1aQJAfnCzgH+tSFGhEnIGXO4FDO7rcXkz1lZvRBYgIeLiZuKO3dQ0aS8ZRNmceN7giEfEaEkOTz+/H99ZuCjMuQIFGxElMjo+yfZ61ap+BlYiIuB4FGhEnMSgqFMKsg+Rn/5J62YW3RUTkLAUaESfyUN+KrQ9yTrFkX5axxYiIuBAFGhEnMrlftO3z7DXqdhIRqS4FGhEnEteiIcERIQB8uSENc7n6nUREqkOBRsTJPNivYnDwqUK+35ZhbDEiIi5CgUbEyUyOj7It2jVnTYrB1YiIuAYFGhEn0yrYj3YxzQFYtOUAp0tKDa5IRMT5KdCIOKEHznQ7FZn5ZOMBQ2sREXEFCjQiTui+vpHg6Q7AnLWa7SQicjkKNCJOqJGfF306twJg445D5OQXG1yRiIhzU6ARcVKT+lUssldaxgfr0owtRkTEySnQiDip27tHgK91Q7zZ6nYSEbkkBRoRJ+Xn5cH13doAkLbvCGm5+QZXJCLivBRoRJzY5ISK2U4WC7O1Jo2ISJUUaESc2E2dWkKQHwD/WKdAIyJSFQUaESfm4Wbi9l6RAFgyjrI587jBFYmIOCcFGhEnNznh7A7cs1ZpcLCISGUUaESc3OCoUAgLAmD2L6lYtAG3iMhFFGhEXMCDvSvWpMk5xdJ9WcYWIyLihBRoRFzAlHO6nTTbSUTkYgo0Ii4grkVDAiJCAPhiQyrmcvU7iYicS4FGxCBjx4whISGBhQsXVuv8h/tWdDudKmT+9kw7ViYi4noUaEQMcPjwYdatW8f+tDROnTpVrWsmJUSBmwmAOas120lE5FwKNCIGeOmll2p8TevgBkTHNANg4ZYDnC4preuyRERclgKNiAMUFRWRnp7OggULmDhxIl9/9VWt7jO5X8Xg4CIzn246UHcFioi4OAUaEQeY9tBD9Ovbl3vvuYfFiYm1vs89fduApzsAczTbSUTERoFGxIU08fOmT+dWAGzYkUlOfrHBFYmIOAcFGhEHeP2NN9ixc6ft680336z1vSb1q5jtVFrGh+vT6qhCERHXpkAj4gD+/v40atTI9hUcHFzre93ePQJ8PQGYvUaznUREQIFGxOX4eXkwaWhHAFKTf2VlWo7BFYmIGE+BRsQFTUmIsX2epTVpREQUaERcUY/wYGjZCIBP1qdSri24RaSeU6ARcVFPnlmT5mQBP+w4ZGwxIiIGU6ARcVGT46PAZN0KQTtwi0h9p0Aj4qLaNvGndVRTAH7adIBCs7ZCEJH6S4FGxIVNia9Yk6awmC82HzS2GBERAynQiLiw+/pEgYf1n/Gctep2EpH6S4FGxIWFBnjTo2NLANZsO8jxwhKDKxIRMYYCjYiLm3RmtpO5jLnrtBWCiNRPCjQiLq5iohMAs9XtJCL1lIfRBYhI7ZSUlfPAZ+v598JttrawAB8DKxIRMY4CjYgB3D3O/tPz8vKq8fXJOXkMfGsxWWlZ1gZPd56f0JdnrutUVyWKiLgUk8WiNdNFXMm/NxzgrveXwelia0NoIKumDSehTYihdYmIGElvaERcRLG5nPs+W8eniduh4teQgb3a8v2kgQT71vwtj4jI1USBRsQF7M0+RfzMRI4dyLE2eLrzwu39+L9rOhpbmIiIk1CgEXFyc9ence8HK6CgoospLIg104bTr3UTYwsTEXEiCjQiTqrYXM7dn6zliyU7bF1MQ/tE8e0DAwny8TS2OBERJ6NAI+KEdmedos/MRPLSz3YxvXxnAk8OizW2MBERJ6VAI+Jk3l+XygMfLIdCs7WhaUPWTxtO74jGxhYmIuLEFGhEnEShuZS7563lqyW7bG3X9Ivmm/sGEKAuJhGRS1KgEXECO46cpNvMRZQePGpt8PJgxm8SeHxIe2MLExFxEQo0IgabvSaFKR+ugKKKLqZmDdnw8HB6hquLSUSkuhRoRAxSUFLKbz5ew3fLd9varouP4at7+6uLSUSkhhRoRAyw/deTxL25EDKPWRu8PXj9N/15dHA7YwsTEXFRCjQiDvbuqn08+NHKs11MzYPZ9PA1dG8ZbGxhIiIuTIFGxEFOl5Ryx9zV/GflHlvbyP7t+OKeBPy91cUkInIlFGhEHCDp0Am6zlwEh852Mc28ewDTBsQYW1gFs9nMm2+8weLFiykxm4mOiuL+Bx6gZ8+eRpcmIlItJovFYjG6CJGr2cyVyTzy0UooLrU2tGjE1oevoUuLhobWda67Jk4kMTHxvDZfX1/mzZtHv/h4g6oSEak+N6MLELla5RebuWHWMh6ZvdQWZkYNaE/+82OcKsxsT0qyhZkpU6fy9jvv0KFjRwoLC3nr7bcNrk5EpHrU5SRiB5szj9Nj5iI4fNza4OPJu/cMYGpCtLGFVWJLUhIA4eHhPPfccwCEhIQwftw4tm7ZYmRpIiLVpkAjUsfeWLaXx+atOtvF1LIR2x65ls7Ngmp0n9zcXD7+6CO2b9/O/v37CQsLo0PHjjz26KMENWx40flz5syhrLS0WveOjo5m2PDhAISGhgJw+vRpzGYznp6epKenA+Dt7V2jmkVEjKIxNCJ1JK/IzLgPV7FgTbKtbcygWObdFY+fV81+d9i8eTP333cfWVlZFx1r0aIFH86dS6dOnc5rj2zThqKiomrd/4Ybb2TOnDkAFBQUENu+PWazmZYtWxIdHc3q1aspKSlhzJgxvP3OOzWqXUTECAo0InVgY8ZRes1MhF9PWBt8PJl170Amx0fV+F5lZWX07t2bXw8fBqxvU6JjYsjMyGDbtm3W2/v4sHjJEtq0aWO7rkNs7GUDzZnjo0aN4r1Zs2ztP/30E7+dOhWz2Wxri4qK4tvvvqNJkyY1/jOIiDiaAo3IFXpl6R6emLcaSqzdPR6tGrPl4Wvo1LRmXUxnfPnFFzz22GMAPPDAAzz/17/ajr36yivMmDEDgLvvuYcXX3yx2vfdtm0bN95wA+Xl5fznhx/o3r37ecczMzNZunQphw8fJjY2lhEjRuDpqfVxRMQ1KNCI1NLJIjO3vr+SxHX7bG3jhnbgo9/0w9ez9sPTHp8+nc8++wxPT0927tqFv7+/7VhpSQntO3Sg4PRpevTowQ///W+17mk2m7lm+HCSk5OZeNddvPzyy7WuT0TEGWlQsEgt/JJ+lD5vLYIjJ60Nvt78674B3N+37RXfOzsnB4CIiIjzwgyAh5cXIU2akH76NMeOH6/2PWfMmEFycjJhYWE888wzV1yjiIizUaARqaF/LN7NU5+sBnMZAMERIax+eDixYYF1cv9rr72WsNBQIlq3vuiYxWIhOzsbgNCQkGrdb+fOnbxbMbD37y+8cFFIEhG5GijQiFTTicISxv5rBUt/SbU2mOC2YZ2Ye0c/vD3rbo3KiRMnMnHixEqPbdu2jcLCQgBi2lVvZ+6//fWvlJaW0qVLF0aOHFlndYqIOBMFGpFqWHsgl/i3EiGroovJz5u59w/i7t5tLn1hHSkpKWHdunU89uijgHV9mDOfL2V7UhIrVqwAYOpvf2vXGkVEjKRAI3IZLy7aydOfrbV1MTVpE8qqacNoF1o3XUyXYjab6dihA4WFhZSVWZ/funVrZrzyCs2aN7/s9f+YMQOLxULLli0ZNWqUvcsVETGMAo1IFY4XljB6zgpWbDjbxXTnNZ15/7a+ddrFdDn5+fnnfV9QUMDu3buJv8ymkbt27WLJkiUA3H///ZhMJrvVKCJiNAUakUqs3p9D/7cSIfuUtaGBNx/fP5iJvVo7tA4PDw9+N306WUeOkJyczKZNm8jOzuaZP/2J4qIiHnzooSqvfffdd7GUl+Pr68tdd9/twKpFRBxP69CIXOCvC3bw7BfrbF1MYZFhrJo2jKiQAIMrg/Xr1zNu3DhKzWYCAgLYmpSEr6/vReeVlZXRqWNHTp48yeDBg/n0s88MqFZExHEc995cxMkdKyih/+uLeHZexZRsE9x9XRwHnx3lFGEGoE+fPtxxxx0A5OXl8csvv1R63pIlSzh50jqAefg11zisPhERo6jLSQRYmZbDwLcSIedMF5MPn04ezO3dIxxaR3l5OfPnz6fUbKZL167ExMRcdE6XLl1snzMyMiq9z/fffQeAyWRixIgR9ilWRMSJKNBIvffnn7bzl6/WQ6m1i6lF2zCWTxtO2yaOX4DuxIkTPPTggwBMnz6dJ37/+4vOOXdBvQYNGlx03Gw2k5iYCFg3tmzWrJmdqhURcR4KNFJv5RYUc+Os5azfvN/aYDJx73VxzLq9D55uxswICg4Oxt3Dg7LSUo4cOVLpOYcqduEG6xTuC+3cuZO8vDwAevXubZc6RUScjQKN1EvLUrIZ8nYi5Fr/x4+/L59PHsyEbq0MrctkMhEWGsrhw4dZuHAhBQUF+Pn5nXfOZ59+ClhnQEVGRl50j61bttg+R0dF2bdgEREnoUHBUq9YLPCnH7cx5O/zbWGmVVRT0v421vAwc8b4CRMAyM3NZfTNN7Nq1Sry8/PZu3cv9917L0lJSQDcPHo0QUFBF12/fft22+eY6GjHFC0iYjBN25Z6Iye/mBtmLWXD1nRrg8nEAyO68M6E3oZ1MVXm+PHjDBo4kNzc3CrPadiwIQsWLiQ8PPyiY9dfdx3btm0DYOOmTTSvxorCInKxsn05lO7Lweua9pgcuJim1I7+C0m9sCQ5i9A/fXM2zAT48tXjI5hj4HiZqgQHB7MoMZHuPXpUerxXr14sXrKk0jADkJ5u/TP6+voqzIhcgbK0XA7d8y8y457jxPRvMK87YHRJcgmGvaHJKzJTXF5OEz9vIx4v9YTFAn/8bxIvfvMLlJUDEBnTjMXThtE6+OIZQs4mNzeXrVu3kp6eTts2bYjr2pVGjRoZXZZIvVCyYDeZE+ec1+bdqgkBN3elwYSeuMeEGlSZfRw4ftolfi5WxeGBZvX+HGYs3s33uw6R/fxYQvwVaMQ+svOKGTFrCZuTDlobTCam3NCVt8b1wsPJ3sqIiPOpLNCcy69TOP5juuE3vjtuYfbfrNbebvlgBZsyj/PEkFju6xOJn5drzRtySKA5UVjCe6v38cKyveSl5wDw2v2DeWxwO3s/WuqphXuPcN07i+FYxcaOgb58O2UIY+Iq76YREbnQ5QLNGW4ebjToE4X/Ld3xubkLpgDX/EU9J7+Y0Ce/gLxCaODNbf2ieXxoe3qGNza6tGqxa6BZlpLNq0t28cMvqVBcamtvGdWUg8/ejDb/lbpmscAfftjKP77dYOtiimrXnCXThhHe0O8yV4uInFXdQHMud18vGgztQMCt3fG6toPLDSZ+fdlefvf+svPaWrQN44nBsTzQLxJ/b09jCquGOg80xwpKeGdVMs8s3Q2Zxy4+wc3E2ufH0jeiSV0+VoQjp4q4/t0lJO2o2A7AzcRDN3Xj9bE91cUkIjVWm0BzLs/GDfC/vgv+43vg2bc1rvBbvMUCrZ+fz8GUShb29PVmXL+2TB8a65T/D7/iQHO6pJSVqdks25fNstRs1u/MOO9tzIVuH96JT+9OuJJHilzk592HGfHuEjh+2toQ5Mf8qUMZ1amFsYWJiMu60kBzLu/wxhWDiXvh3s65BxNvOHiU3s9+a3vLXRm/Vo25JbYFg6JCGRodRpvGjt8q5kI1DjS7s06xOPkIK1Ky+Dk1h7zMo5f8Q5/Hx5Pf39gNX0/32tQqchGLBX7cfYjN2zKs3wCEBfFofBRBPl7GFiciLq1VUiZDXkus8/sej2jM/j6RpMZHUtDQt87vXxc+2XyA1L2/Vv+C4AYkRIYxsG0og2PC6N+micMHFV820CxPyWb+9kxWpGaxKS3HOlhIRETkKheXW8B3myrf0b4ulJlMLG7sx6uRjdkX7JzBptY83GjUsjHXtA1jaEwYd/ZsTQM7B5zL3j0hMgRfT3dCA7wJaeDDz2nZkHXy7G/DIiIiUiNHvdz5NiyAr5oHkuqkb2lqrYEPcW1CGBQVyuCoMAZHh9k9zEAtx9DkFhSzNDmL5SlZLE/JZsf+HCgovvyF7m589dj1dGx28f4zItVRZrHw0qKdfJK4A8qtf3Ujopoy985+hAX4GFydiFxNPJel4PbwvLq7obcHxEdTflMcpYNisHg57/CLEe8tJb2ygcEXcjNB82DGtA1jUFQYQ6LD6Ny8oSHjn+tklpPFAkmHTrB43xHmrk9lx65DVb7BiYxpRsqfRrnCYG9xModOFnLN24vZvfuQtcHNxO9G92TG6G646S+UiNSxOhkU7O6Gf+9IAsb2wGdMF0yBzv+L17/WpjLpnUuMHWocwIPx0VzfoTmDo0IJ8HGOqdx2WYdmb/YpXl2yh9mrk+HE6YuOvzl5CA8PiKnrx8pV7Icdhxj13hI4WWBtCG7AT78dyohY7VUkIvZxJYHGN7YFAWO64TehB24u1CtxsshMwye/ODtj9Ax3N/p0iWD64Pbc2jXcKX+JtOvCeuZyC59vSue1ZbvYsiPT1kVAoB9H/zmBRn6ahSKXVm6x8Og3m3jrh822vz+dO7Zk4YPDaOoCv+mIiOuqaaDxahFM4Khu+N3WE4/YpnaszH7u/WQdc39OOtsQEsj0ge15bHA7p1+c1GF7OaXm5vPast28vTIZjuUzbmgHvrx3gCMeLS4q40QBw95ezL49h60NbiZ+P7YXL4/qpi5LEbG76gQaj2A/Aq6Lw39CDzzjI11i8byqbMo4Ts9nvgYT9O/amulD2jO6c7jL/JEcvjllabmFr7ce5PXle/ng9j50aOo6r+LEcb7flsmYWUvh1NkupgUPDefadq75W4+IuJ6qAo27ryf+g2LxH9cDr+s7YLpK1la7/aPVRAQ34JHB7Wge6HozrxweaEQupbTcwsNfb+C9H7faupi6xYXzv6lDNYtJRBzqvEDjgoN76xvX2htcrmoHjxcw9K1EUpMrVqd0d+Opsb148aauLvPKU0SuIm4mlx3cWx/pDY04hW+TMrhl1tKzK1E38ifxoeEMiwkztjARqb/KLdZ1VsQl6A2NGKq03MKDX/7CnJ+SbGsX9ezaih8nDyU0wNvg6kSkXlOYcSkKNGKY/UfzGfL2YtL3VaxG6eHG07f05m83dFEXk4iI1IgCjRjiyy0HmTB7GeRXdDE1CWDJg8MZEh1qaF0iIuKaFGjEoczlFqZ+vp4Pft5m62Lq3S2CH6cOoYmfuphERKR2FGjEYdJy8xn09mIyz2x45uHOs+N68+cRcepiEhGRK6JAIw7x+eZ0bp+zDPKLrA1NAlj20HAGRamLSURErpwCjdhVSVk5Uz7/hbkLkqBigYD4Hm34YfJg7eUlIiJ1RoFG7CYlJ4+Bby3m17Qsa4OHO3+5rQ/PXtfZ2MJEROSqo0AjdjFvwwEmvr8cTld0MYUEsvKh4fRvG2JsYSIiclVSoJE6VVJWzv2frmPeou22LqYBvSKZP2kQwb7qYhIREftQoJE6k5yTx4CZiWTvz7Y2eLrz99v68vS1nYwtTERErnoKNFKl0nILx06XVGsLgo9/2c/d7y+HgmJrQ1gQq6cNJ751EztXKSIiokAjl/BS4k4CvT15ZFC7Ks8pNpdz76dr+WzxDlsX06Debfn+gYE0VBeTiIg4iAKNVOrwqUKe+WYj00d0qfKcPVmniJ+ZyPH0HGuDpzsv3ZHAU8NjHVSliIiIlQKNVOqBT9dBQTEHj+VXevzDdanc98FKKKzoYmoaxNppw+kboS4mERFxPAUauUji3iP8b00yAOnHT593rNBcyj2frOPLxTttbcP6RPHNAwMJ8vF0aJ0iIiJnKNDIeUrLLVz70SrbeJiU4wW2Y7uOnKTXzEUUHDxqbfDy4J93JvDE0PYGVCoiInKWAo2c5+8Ld2DJOGr7/vgJ6xuaOWtTmPzhCig0Ww80a8gv04bTq1VjI8oUERE5j8lisViMLkKcQ+aJQsKf/OLsuBgANxOjB7Tn++W7bU3X9ovm6/sGEKAuJhERcRIKNGJz3TtLWLh2X9UneHvw6p0J/G6IuphERMS5qMtJAPh592EWrrtEmPH15NXbE3hscNVr0oiIiBhFb2gEc7kFr6e/hkPHLn9ySCDTB7bnscHtCG/oZ//iREREqkGBRpj8+Xrm/Li1Zhe5u9GrczjPj4zj+tjmdqlLRESkutTlVM+9uXwvc37aWrOLAnwZ1qEFN3cJJ65FsF3qEhERqQkFmnrsf7sP8+jclbY1Z6rk7kZEZChjOocztks4CW2a4GYyOaRGERGR6lCgqad2HTnJyDcXQWlZ5Sc0DuDmji0YHRfOzXEtCdZGkyIi4sQUaOqhnPxiOr7yP8gvOv9AAx+mDo1lakIMXVo0NKQ2ERGR2lCgqWdKyspJeGMhHDl5trGRP89e15knhsZqsTwREXFJCjT1zC3/WsG+PYet37RoxMwbujAlIRpPN42JERER16VAU4/84T9b+e+qvUTGNOOFG7syvmsrNLZXRESuBgo09cS/NxxgVVoOS54dw5DoUKPLERERqVNaWK+e2H80nzaN/Y0uQ0RExC4UaERERMTluRldgIiIiMiVUqARERERl6dAIyIiIi5PgUZERERcngKNiIiIuDwFGhEREXF5CjQiIiLi8hRoRERExOUp0IiIiIjLU6ARERERl6dAIyIiIi5PgUZERERcngKNiIiIuDwFGhEREXF5CjQiIiLi8hRoRERExOUp0IiIiIjLU6ARERERl/f/vNDhSM5IGW0AAAAASUVORK5CYII=",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/154.jpg"
}
] |
<image>Find m \angle 1 in the figure.
|
B
| 64,602 | null |
B
|
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/155.jpg"
}
] |
<image>Find x. (Hint: Draw an auxiliary line).
|
A
| 64,603 | null |
A
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/156.jpg"
}
] |
<image>Find x. Round to the nearest tenth if necessary.
|
A
| 64,604 | null |
A
|
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/157.jpg"
}
] |
<image>Find the value of the variable y in the figure.
|
A
| 64,605 | null |
A
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/158.jpg"
}
] |
<image>Find x.
|
A
| 64,606 | null |
A
|
[
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}
] |
<image>Find x.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/160.jpg"
}
] |
<image>Find y. Round to the nearest tenth, if necessary.
|
A
| 64,608 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/161.jpg"
}
] |
<image>Find x.
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B
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B
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[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/162.jpg"
}
] |
<image>Use parallelogram P Q R S to find Q R.
|
A
| 64,610 | null |
A
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/163.jpg"
}
] |
<image>Find the measure of \angle 3.
|
B
| 64,611 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/164.jpg"
}
] |
<image>Find the area of the figure in feet. Round to the nearest tenth, if necessary.
|
C
| 64,612 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/165.jpg"
}
] |
<image>Find m \widehat G J F.
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C
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C
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/166.jpg"
}
] |
<image>Find z.
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[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/167.jpg"
}
] |
<image>In \odot Z, P Z = Z Q, X Y = 4 a - 5, and S T = - 5 a + 13. Find S Q.
|
A
| 64,615 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/168.jpg"
}
] |
<image>Find x. Round the angle measure to the nearest degree.
|
B
| 64,616 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/169.jpg"
}
] |
<image>In the figure, m \angle 12 = 64. Find the measure of \angle 8.
|
D
| 64,617 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/170.jpg"
}
] |
<image>Find x.
|
A
| 64,618 | null |
A
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/171.jpg"
}
] |
<image>Find x. Assume that any segment that appears to be tangent is tangent.
|
D
| 64,619 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/172.jpg"
}
] |
<image>Find the perimeter of trapezoid P Q R S.
|
D
| 64,620 | null |
D
|
[
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pqgLsbVQsmBDMc1/sgZp6Xt+ZSfTEYKVjtWpSslYoIyOj+es+/fopmOT3ahq1vL4ji6Vb09BU1hkn2juzYMwA5o8Nwt1ZylVJT4/oS+SGFBoqa1m2NZ35Y4Jwsm+ZKmiLWyhJyVoIWzvjr8LB4c9LqKCgAABnZ2e6drWMe6RWN2hZvj2DuK3pUF3fPG7j6sKicQN5dnSgnJZaCCd7OxaMG0j0V/vRVNbx1vfZPDemf4s8dlvcQkludSiuSWW9hpe+O8RL2zKgxliuDu4uLBofzNxRgbRzkOdyS1PTqMV1zmqoqaeDpytnXrsPB1vzX9EZGBDwlyX76/yUKVN4/4MPzJ7J3KRkxVUpq23kxW8P8dqOw1DX2Dzu6tGOhRND+L/b+uEs5WrRFsQn8dJ/DwLw1swRPD2ir8KJLt5CacPGja1ihw8pWXFFSqsbWfJtGv/emQn1xnL19HJl4YRgnh4RgKO9fMbFGlTUa/D8xyqob6RLJ3dOvHIvdjbK3WRIq9UyetQocnJyeHDGDF5++WXFspiSLDXEZSmuaiB2cxrvfp8JDcYdHTpd58bCyaE8cUufFjndFKbTwdmB/xsZyJubzn8wZMWBPGYOVe6SwNa6hZKsZMWfOnWuntjNqXy4KxMaje8Kd+nkzqIpoTx6cx/sFVz9iGtTUt2A99wvoVHH9d08yVt2N0rcMbM1b6EkK1lxSSfKa4nZlMJ/dh8BjbFcu3fpQOTkUB4Z6qfoqaUwjU6uTjw2IpAPv0vn2Kly1iQdZ9qgXi2eozVvoSQlKy6SX1ZDTEIKX+w9Atqm5vHru3kSFa5mxo2+2LSym4O3dZETB/JhYgZom4jbkNLiJdvat1CSkhUAHC2pIiohhTX7j4LOWK7+3b2IDldz/2BfRU4jhfn5eLTjwWF9+WJXJlnHS0hIP0n4wO4t9vitfQslKdk2LutMJVEJKaw7cBSa9M3jAb06EROu5m51TynXNiB6cghf7MkGnZ6YhJQWK9nWvoUSSMm2WYeLzrEoPpmEn3NBb3zvc4CvNzERau4I6aFgOtHSend05a4b/Vm39wipR0+zPauI0QHm/zRha9xC6X9JybYxKSfLiUxIZvPB/IvKNcS/C7ERaiYP8FEwnVDS4vBQ1u3POb99+IYUs5dsa9tC6Y9IybYRvxScJTI+he+Sj53fUOuCwQHdiAtXMzbQMu6BIJQT2NmdiYN82fxzHvszCtmbX8ow345me7zWsoXSX5GSbeX2Hytl0fokEtMK4DdXRA8J8iEuPIyR/TorF05YnNgpoWz+JR8MBqLik9g5d5zZHsvat1C6XFKyrdSPuSUsik9i96ETxnJVwfD+3YmbOohb/Topmk9YJnUPL24P7kFiagGJaSdIOlFGWA8vkz+ONW+hdKWkZFuZndlniExIYn9GoXFQBbcH9yQuIoyhZjz9E61DbEQYiakFYDj/2uymp01/u0Fr3ELpaknJthLfZRYRmZDML1mnjIMqFWPU17MkIpTBPa9TLpywKsN8OzIkyIf9GYVsPphP5plKAju7m/QxrGkLpWslJWvlNh0uJHJ9MqlHTxsHbVRMHORLXLia0O6eyoUTVmvxlFDGZBSev9IgIYW1j48w6fGtYQslU5GStVL/TT1BTHwyh/KLjYM2KsJv8GNJhJr+XT0Uyyas3+iAroT4dyH16GnW/XSUvDvC6N3R1WTHt+QtlExN7sJlRQwGWJtcQExCMlnHS4wTtjbcdZM/seGhBJj4tE60XQnpJ4l4dQsAD44IZMXM4SY7dkC/flRWVuLs7Exefr7JjmuJpGStgMEAq37JZ3FCMkdPlhkn7Gy5b8j5cvXv5KZcQNFqBUatP/+Ebm/Lydem4ePRTulIVkdK1oLpDQZW/JRPbEIyx06VGyfsbXlgWF8Wh4fi69VeuYCi1Vtz8DjT/v0dAI+NHcgH04conMj6SMlaIJ3ewGf7c4ndkMLJ0xXGCQc7HrmlLzGTQunhKSsKYX4GA/ReuPb8k7yjHcWvT6eTq5PSsayKlKwF0eoNfLQnhyUbzm8H0szRjkdvDSR6UgjdPFrn57uF5fp0Xy6z3t8JwOxJobx5T+u+rtXUpGQtgKZJz/u7c1i6MYWSs1XGCScHnrwtkKiJwXi7yepBKENvMODz3Ffnn/idHSn/1/10cHZQOpbVkJJVUKNWz9u7sli2JY3ysmrjhLMjs0cGsmh8MB1dHZULKMQFb+86wjOf7gLghTsG8WJEmLKBrIiUrALqNTre/D6bl7akUVlRY5xwcWTeqP4sGD8Ar3ZSrsJyaJr0dHl2zfnFQHtnqt+YRntHe6VjWQX5MEILqtXoeH1HJsu+TaehstY40c6JF8b25/mxA+Q0TFgkB1sbXhg/kOdX7oWael7fkUXUxIFKx7IKspJtAdUNWl7dnsmSrenoq+uME67ORI4byLOjg3BzklWBsGwNWh3uc1ejqazDyb0dFa/fh5O9rNP+ivwLmVFlvYaXv8vgxW2HoKa+edzB3YV/jgtm7qgAOeUSVsPJ3o6F4wYS89UBGipreXvXEZ4dHaR0LIsnK1kzKK/T8OK36by6PQPqGprHXT3a8cKEYObcHoCzgzy/CetT3aDFbe5qqKnH08uVM69Nw96m9W1+aEryf7oJna1tZOmWdP61IwPqG5vHO3i6snBiME+P6CunV8KquTrZM39UEC/HH6S8rJoPf8zhqVv7Kh3LoslK1gSKqxqI25LGO4mZ0KBpHu94nRsLJwXz5K39cLC1UTChEKZTXqfBa84qqG+kq7c7J1+5F5tWuJW3qciy6hoUVdYTuymND3ZlQKOuebxzJ3cWTQ7lseF95FRKtDqeLg48c3sgb21Ooai4ks/35/HI0NZ94+1rISvZq3CyopaYjWl8ujsLNMZy9ensQeRkNTOH+WEn5SpasZLqBrznfgmNOnx9PMldejeymL00WclegWNlNcRsTGHFj0dA29Q83qurJ1FTQnloSG85bRJtQidXJ/52awAfbztEfmE5XycXcG9YT6VjWSRZyV6G3NJqohJSWL0vB3TGcu3t40V0hJoHBvvKs7hoc05W1NLj2dWgbSKwVycyYqcqHckiyUr2T2QXVxGVkMzaA0dBp28e79ezI9Hhau4N6yXlKtqs7h3a8cCwvqzclUnm8RI2Hipk8gAfpWNZHFnJXkLG6Uoi45NZ/9NR0Bv/efr7ehMTrubO0B4KphPCcuSWVuP//Bpo0qP270JS5BSlI1kcWcn+RuqpciLXp7DpYN5F5Rri15nF4WqmBHdXMJ0Qlsevoyt33ujHN/tySD56mh3ZZxjVr7PSsSyKrGSBgwVlRCYkszXp2PlbwV8Q1qcrcVPVjA/qpmA6ISxbxulK+i/4CvQGhvb3Ye/zE5WOZFHa9Er2wLGzLIpPYmdqwUXlelOgD3ERYfKMLMRlCOrizoQwX7b8kse+jEL25Zcy1Lej0rEsRptcye7JK2HR+iR+OHQCfv3pVXBz/+7EhYcxoo+3ovmEsDZJJ8oYFLkODDAytBc75oxVOpLFaFMr2e9zilkUf5B9hwuNgyq4LbgncRFhDJNnXyGuSlgPL24L7sn3qQXsTC0g+UQZ6h5eSseyCG1iJbstq4jI+GR+zjplHFSpGB16vlxv7HWdcuGEaCX25JUwfPF6ACbd4MfGp0cqnMgytOqS3Xz4FFHxSSTnnDYO2qiYEOZLXHioPNMKYWJDXtrMgcxCsFGR8dK9BHZ2VzqS4lplycanniQ6IZn0vDPGQRsVUwb7sWSqmgFdPRTLJkRrti2riLEvbgTg7pv78vVjI5QNZAFaTckaDLAupYCY+GQyj5cYJ2xtuONGP+Ii1PKsKkQLCI1NIDX3DNjZkLd8Gr5e7ZWOpCirL1mDAdYkHScmPpmcE6XGCTsb7h3Sh8VTQunr7aZcQCHamPjUk0x9fQsAM24P5POHhyucSFlWW7J6g4Evfs4nNiGZ/MJy44S9LdOHni/X3h1dlQsoRBsWEPlfsgtKwd6Wwtem083DWelIirG6ktUbDPxnXx6xG5I5cbrCOGFvy8O39CN6cgi9PNv26YkQSlv1Sz7T39oOwONjg3l/+k0KJ1KO1ZSsTm/goz1HWbIxmaLiSuOEox1/uzWA6EnB+Hi0Uy6gEKKZwQC+C9ZyvKgcnBwoee1+Oro6Kh1LERZfslq9gfd3H2HpxhSKS6uME04OPHFbAJETguni3nZPRYSwVJ/szeVvH+wE4B+T1bxx92CFEynDYku2Uavnnd3ZvLgplbNl1cYJJweeGRnEogkD6eTqpFxAIcSf0ukNdH/+K86UVIKzI+X/up8Ozg5Kx2pxFleyDVodbyZm8+KWNCoraowTzo7MHd2fheMH4NWubZ52CGFt3tqVzexPfwBgwR03sCwiVOFELc9iSrZWo+ONHZks/Tadhspa40Q7J+aP7s/88QPa5LOgENZM06Sn87w1VJRXQ3tnqt+YRntHe6VjtSjFbxBT3aDltR2ZLN2ajq6qzjjR3pl/jhvA82P64+bUtn4pQrQWDrY2zB8/kBe+3As19byxM4vICQOVjtWiFFvJVjVoeWXbYZZuPQQ19c3jdm4uLBo/kHmjAtvcM54QrVG9RofHvNVoKutw8WhH2Wv34WSv+PquxbT4T1pRr+HFbw+xfNthqGtoHnfxaMfC8cHMHRmAs0Pb+QUI0do5O9ixYOxAFn99gLpztbyz6wjzRgcpHavFtNhK9mxtI8u2pPPGjgyob2we9+jQnoUTg3nmtn5t6tlNiLakukGL25xVUNvAdV6uFL02DXubtrHVs9lbraS6gbjNabydmAkNmubx67xcWTgphCdv6YejvY25YwghFOTqZM9zo/uzPP4gZ8uq+WhPDk/e0lfpWC3CbCvZosp64jan8f6urIvK1bujG4smq3n8lj5t5plMCAHldRq8/vElNGjo5u3BiVfuwUbV+jvA5CvZwnO1xGxM45PdWdCoax7v5u1B5JRQZg3zx07KVYg2x9PFgadvD+TtLamcKj7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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/173.jpg"
}
] |
<image>Find x.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/174.jpg"
}
] |
<image>Find y in \triangle P Q R.
|
A
| 64,622 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/175.jpg"
}
] |
<image>Quadrilateral R S T U is circumscribed about \odot J. If the preimeter is 18 units, find x.
|
B
| 64,623 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/176.jpg"
}
] |
<image>Find the measure of \angle 5 if m \angle 4 = m \angle 5.
|
A
| 64,624 | null |
A
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/177.jpg"
}
] |
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/178.jpg"
}
] |
<image>Triangle R S T is circumscribed about the circle below. What is the perimeter of the triangle?
|
B
| 64,626 | null |
B
|
[
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WbNnw8fXFwcF8xtv/8/Q1labvguhYAKa3q4xnWVdlQ4kvIuUqUpR9/v4MHzYMx3Tp8PHxwcXFRelIenvy6u0SLeG6JVoGNCrNoFqFFU4lvpSUq0gxLly4QI+ePbG0tGTpsmXkz59f6Uh6C4+Oo9b03Tx99hqAlpUL8kfLcgqnEl9DBhGIFOH+/fu0bdOGmOhoFixYQPny5ZWOpLc4jZb6s/dy/X4IAFWK5WR112oKpxJfS8pVmL2XL1/i6eFBaGgoE3/9lfoNGigdSW9aLXj9fZAjlwMBKOyamZ393LCSJVrMnpwWEGYtKiqK1p6ePHz4kD59+tCpUyelIyXJgHWnWH/0BgBZMjuyf0g97G2sFE4lDEHKVZithIQEOnfqxOXLl2nevDkjf/5Z6UhJMm3vVf7cfh4AtUMaAobWxyWdrcKphKHIaQFhtgYOHMjBgwepUqUKM2fN0vt9jx49YuKECQDkyZuX4cOHv/P8zh072Lp1KwDt2rc3yiQva07fZejqo7o7ttYcGVKXgi7pDL4foRwpV2GWJk+ezPp16yhatCjLli/HwsJC7/dmy5aN48eP8+zZMywsLenSpQsZM2YE4OHDhwwYMICIiAiyZ8/OlKlTDZ593z/BtJm/HzRasFSz+cfaVMiTyeD7EcqS0wLC7Cxftoy/Zs8mZ86crPH2xs7OLknvV6vVNG/RAoCE+HjWrV0L6OYi6NG9OxEREVhZWbHw779Jl86wR5MXg8KoPXPP2yVaYG7HajQpntOg+xCmQcpVmJVdu3YxavRonJyd8fH1TTziTKr27dujUuv++m/atAmA33/7jYsXdctUjxw5klKlShkm9FsPX76hxtSdEBkNwM/Nv6NX1QIG3YcwHVKuwmycPn2aPn36YGNtzapVq8iTJ88Xb8vV1ZVyZcsCcOXKFVavXs3cuXMBqFW7tsGnJgyNiqXGtJ2EvgwHoEOtIkxsbNjyFqZFylWYhTu3btGxQwfi4+KYN3++QY4q27Rpk3h76JAhJCQkkC1bNv7666+v3va/xcRpcJ+xh7uPXgLgXiYvS9qbz0oI4stIuQqTFxISgmfr1oSFhTFp8mTc3NwMst0mTZu+c07V8u15VkOuBqvRavlh/n7O3HgMQMn8WdnSuwZqM5r+UHwZKVdh0iIiImjt6UlQUBADBw6kbdu2Btu2tbU1efPlS7zv6elJ6dKlDbZ9gB6rj7Pz9B0Acmdzxn9QHWyt5CKd1EDKVZisuLg4OnbsyPXr1/Hy8mLI0KEG3f7KlSu5cP584v1Lb7/MMpRxOy6yyO8yAA5OaTkwtD4Z0toYdB/CdEm5CpOk1Wrp++OPHDt6lJq1ahn8etObN28yduzYdx67dOkSN27cMMj2Fx29xS9rT+ru2NkQMKQeeTLYG2TbwjxIuQqTNG7cOLZu3UrJkiVZvHgxarXh/qrGxMTQtUsXoqOicHBwYOi/johXLF/+1dvfcSWIbosP6mZlsbJgzwB3SufK8NXbFeZFylWYnIULF7JwwQLy5MnDGm9vbGwM+1F65E8/cfv2bQB+nTSJnr16kSZNGgA2b95CXFzcF2/79IPnNPzTD+ITQK1iefcauBfKZpDcwrxIuQqTsmXLFsaPG0emTJnw8fXFycnJoNvfvHkz3t7eANRv0IAWLVpgZ2eHu7s7AKGhL9m5c+cXbfv2s3AqT/v/JVomeVagffl8n3mXSKmkXIXJOHbsGAP69ydNmjSsXLWKnDkNOyz04cOHDBs2DIDMLi5Mnz498bnWXl6Jt1evWpXkbT8Lj6H6lJ3EvooEoHe9kvxUt9hXJhbmTMpVmIR//vmHzp06odFo+HvRIooXL27wfQzo35+I8HBUajUzZ85853rWKlWqkDWb7uP78ePHef36td7bfRMbT63puwh6GgZAk+/z85en+ayEIIxDLrgTinvy+DFerVsTHhHBrJkzqVbNOEucbHw7h8DHnD17NsnbjNdoafSXP5fvPgXg+8I5WNujOjJGQMiRq1DU69ev8fDwIDg4mOHDh9OiZUulIyVJ+yWHOXDhAQD5c2ZgzwB3rC3k10pIuQqFtWvbltu3b9OxY0f69eundJwkGbrhDN6HrgOQKWM6DgxtQDpbWaJF6MhpAaGoipUqkSlTJn6dNEnpKEny54F/mLb17WkEezsODK1PdqekzSsrUjYpV6Go/y6xYg7WnXtA/+WHQAvYWBIwqC5FshpusheRMshpASGS4PDtEFrN89ct0aJWsbZXbap9k1npWMIESbkKoadrwa+oOmM3xMSDCmZ1qErL0rmVjiVMlJSrEHoICoui+pSdEBEFwJDGZehX41uFUwlTJuUqxGe8jo6j5rRdPHuuG1jQumohpjYvq3AqYeqkXIX4hNgEDXVm+nHz4TMAapTMzYrOVRROJcyBlKsQH6HVgsfCAE5cewRAsbwubPuxNpZqGX4lPk/KVYiP+NHnJJuP3wIgu4sT+wbXI621XL0o9CPlKsQHTN59mbm7LgBg7ZiGgGH1yeQgS7QI/Um5CvEfK07eYaTPcd0dW2sODa7HN5kclA0lzI6UqxD/4nf9MR0WHtANErC0YFs/N8q7ZlQ6ljBDUq5CvHXu4QvqzPSDuARQqfi7SzUaFs2hdCxhpqRchQDuvYig+rRdEBUDwC+tytO1Un6FUwlzJl99ii9y4vhxvL29efjwIWXLlcPQFydldnGhU6dOWFhYGHjL73vxJoYaU3cSHvYGgK7uxRjboITR9ytSNilX8UWmTJnCiRMnADh58qRR9lGiRAnKlStnlG3/T3RcPLVn7OHB41AA6pfLx4I2FYy6T5E6SLmKJAsODubUqVMAODunx8nJ8NPtubi4GGUdrX/TaLU0mXuAC7eeAFC2YDY29qyJWtZoEQYg5SqSzMfHB41Gg0qtZq//XrK9XdjP3HRecRS/s3cByJM9PX6D6mBjJV9DCMOQv0kiyTa/XeivTOnSZluso7aeZ/m+qwA4p3cgYGh9nO2sFU4lUhIpV5Ek165d4+bNmwA0b95c4TRfZt6hm/y6QXdagzS2HBhan1zp0yobSqQ4Uq4iSXy8vQGwsbGh2Q8/KJwm6bZcCqT3soO6JVqsLPAfUIcS2Z2UjiVSIDnnamYC9u/Hx9eX+/fv8+bNG/LkyUOlSpXwatMGBwfjDtHUarVs27YNgGrVqpEuXbr3XvP8+XNWLF/O5cuXuXfvHi4uLhQuUoQB/fvj6ORk1Hyfc/zeM5r+5Q/xGlCrWN2zJrW+zaJoJpFySbmaCa1Wy5DBg/F+e+T4P3fu3MHf35/ly5ezfMUK8uc33oXvhw8f5unTpwC0atXqvefPnTtHl86dE18DcPPmTQ4fPsz2bdtYumwZRYsWNVq+T7nx9DWVp+2G6FgApraphFe5vIpkEamDnBYwEz4+PonFqlarKVq0KG5ubmTOrFsc7/79+/Ts0cOoGdb6+gLg5OSEm7v7O88lJCTQrVu3xGLNnz8/9Rs0oNjby6mCgoJo3KgR9+7dM2rGD3n6OprqU3eiCY8EoF/DUgxxK5LsOUTqIuVqJmZMnw6ASq1mydKl+O3dy/IVKzhy9Cily5QB4Pr16+zatcso+4+JicHPzw+AevXqYWVl9c7zG9av58njxwB07dqVg4cOsWjRIvbs2cOQIUMAiI6OZuHChUbJ9zERMbolWoJDXgHQvGIBZrb8LlkziNRJytUMPHnyhKCgIABq1qyJ+7+OGu3t7RkxYkTi/dOnTxslw/bt24mIiACglYfHe8//b5SWlZUVw4YPf+e5vn37kiat7tv4K5cvGyXfh8RptNT/cy/X7ocAULlYTry7V0fGCIjkIOVqBm7fvp14u8L337/3fMmSJRNvP7h/3ygZ1q9bB0COnDkpX778e8+HPNOtMZU7d27s7e3fec7K2ppMGXXT9r0MDTVKvg9ps+gghy8HAvBt7kzs7OuGlSzRIpKJfKFlBsJfv068ndnF5b3n//0RPTIy8rPbe/ToEcOHDSMkJIT1Gzbg6Pjp4auhoaEcPXoUgKZNmnzwNe7u7rhkzkxuV9f3ntNqtYSE6I4eM2fK9Nl8hjBw3WnWHbkBgEumdOwfUg8HW6vPvEsIw5FyNQNlypZlwMCBgG4yk/+6detW4u3s2bN/clurVq1i/LhxiR/x586Zw08jR37yPevWriU+Ph6VSoVn69YffE27du1o167dB5+7dOkSUVFRABQoWPCT+zKEGfuuMXPbOd0dBzsChjUgq6Od0fcrxL9JuZoBFxcXhg0b9tHnlyxenHi7VOnSH3xNdHQ0Xbt2Zf++fe88vmLFCgYMHIid3cfLZ8PGjQAULVqUvHn1v3wpNjaWEydOMKB/f0A38OB/t43F58x9Bq88ortja82RwfX41uX963GFMDY552rmVq9ejY+PDwDOzs4fHZIaFBTEgQMHKF2mDEuWLkWl1v3Rv3r1iqVLlnx0+/fu3Uv8Ekrf4a5xcXEUyJ+ffHnz4unhQXBwMK6urqxes4asRpyLYP+NYFrP36dbosVCzabetamUN3lOQwjxX1KuZuzQoUP8/PYjvVqtZvJvv2Fra/vB1+bLl4/r16+zfft26tatS+1atRKfW7RoEQkJCR98n4+3N1qtFktLS1q0bKl3toiIiHe2GRkZyfXr1/V+f1JdfhxGrZl7IDYeVDCnU1WalsxptP0J8TlSrmbK39+fDu3bExurG3E0fsIEGjdu/Mn3/Hu46qDBg1G9vSYpODg48ej3vzZv3gxAxYoVSZ8+vV7ZLC0tGThoEF5eXpQtWxaVSkVISAijR41i7pw5em0jKQJD31B96k54Ew3AyB++o3dV45/bFeJTpFzN0M4dO+jSuTMxMbr1ngYOGkTnzp2TtI0SJUpQsWLFxPvz58177zWnT58mMFB3KVPLDwx3/RiVSsXQoUOZNn06W7dtY+OmTVi+vaJh1qxZiV9uGUJoVCw1pu7i5YtwANrXLMyvTUoZbPtCfCkpVzOzceNGevbsSVxcHCq1mjFjxjB06NAv2tagQYMSb9+5c+e90V2+b49m7e3tadiw4RdnLl++PF5eXgCEh4cnrmLwtWLiNNSZ6cedRy8AcCvtytIOlQ2ybSG+lpSrGdm4cSP9+/UjPj4eS0tLZs2cSc9evb54exUqVnzn6oLZs2cn3k5ISEgsWzc3N2xsbD66HY1Gw6ZNm1i3dm3iXK//9e9LyP53NPw1tFposeAAp6/rRq6V/CYLW3rXkiVahMmQcjUTly5dYsCAASQkJGBnZ8fSpUuT9AXTxwwYMCDx9oXz5zn1dtHBPXv2EPp2NNWHhrv+W1hYGH1696Z///5s3bLlg6/59+CBtGm/fmLqHquPs/2UbuRarqzO7B1cFztrubJQmA4pVzMxccIE4uPiUKvVzJs/n1q1axtku25ubhQqVCjx/qw//wR0AwdAd41t1apVP7kNZ2dnLCx1xRYcHPzB1wS9ndQFwPUDo7iSYsLOS/ztdwmANE5pOTCsPhnTfvzIWgglSLmagZiYmMQJWZq3aPHOxC2G0Ldfv8TbAQcPcv78eQICAgBo1KhR4lUFH6NSqXB5O/Whn5/fB4fgeq9ZA+iuJEjKQIT/WnLsNmN8dUfX2NlwaEg98maw//SbhFCAfI4yAydOnEi8MiAsNJQVy5d/9LUuWbJQp06dJG2/SZMmTPn9d+7fv49Wo6FVy5aJ+/vYcNf/auXhwcw//uD58+c0bdKEMWPHUrJkSYKCgvj9t9+4ePGibl9Nm352LoOP2Xk1iC6LAnQnXK0s2N3fnTK5MnzRtoQwNilXM/Do0aPE23v37mXv3r0ffW3mzJmTXK4qlYpevXsz/O0Q2zdv3gBQoEABChcurNc2unXrxqqVK3n+/DlXrlyh1QfOBzs5OX1yGO+nnHnwggaz/CA+AVQqlnarQZ3C5rnyrEgd5LSAGYgIDzf6Pjw9PcmS5d31pJo2a6b3+52dndnr7584cfd/lStXjn3795MzZ9JHTd15Fk6VabsSl2iZ6FmBjt/nS/J2hEhOKq1Wq1U6hDAN8+fNY/z48YBuOO2Zs2ffK1x9PH/+nAsXLvDgwQPy5clD8ZIl9R7d9V/PwmMoPWEzj4LDAOhZtwTzvN6f01YY39Jjt+k8Xzfxz96RTagtizt+kpwWEIk6durE7NmzCQ0NpXz58l9UrAAZM2aktgGuZngTG0/tGbsTi7Vx+fzMbS3FKsyDlKtIZGtry6w//+TQwYO0/cjcrMklXqOl8V/+XLqju7SrfOHsrOspS7QI8yHlKt5Ru3Ztgxx1fq2OSw+z/8IDAL7JmYE9/d2xtpCvCIT5kL+twuSM2HiW1Qd10xNmzODAgaH1cLSzVjiVEEkj5SpMyuyAf/h9yxndHXs7DgytTw6nrx8uK0Ryk3IVJmPD+Yf0W34YtICNJQcG1KFoNielYwnxRaRchUk4cieEFnP3QoIG1Cp8e9ameoH3V7oVwlzIF1pCcdeDX1Fl+m6I0S3R8kf7yrQqk1vpWMKA+v74I3FxcZ98jVebNp+dJMicSLkKRT1+FUX1KTshQrc6waBGZRhQU78ht8I8BAYGsmHDhs++rmbNmsmQJvlIuQrFvI6Oo+a0XYQ8fw2AZ5Vvmd6irMKphKElJCRQuXJl/jsYNDo6mrNnzwK6EYFlyqasP3spV6GI2AQN9f7048aDZwBUK56LlV1SzkdC8f9cXV1Zu27dO49pNBravF36B+Dnn38mX76UNV+EfKElkp1WCx6z/Tl2RTfbV9G8LmzvWxtLtQy/Si1++uknDh48CICXlxe9evdWOJHhSbmKZNd31TE2n7sHQLaYBPa0Ko+9jZXCqURyWbhgAStXrACgUqVKTJk6VeFExiHlamY0Gg1rfX3fO39lLn7feYk5ey8DkCY6nlUnHpLQYgFxF4IUTiaSw549e5gwYQIA33zzDUuXLUOtTpk1lDJ/qhRsxIgRDBgw4J2VWs3FqpN3GOFzPPH+vt9a8d3oJiSERvC42Ryi991SMJ0wtkuXLtGnd28SEhLIkCEDa7y9sbdPuUv0SLmakT9mzGDVypUULFiQTp06KR0nSfZef0y7ufsS728ZUJfv82YibdcKuCzsiDZBQ3C7v4n0PadgSmEswcHBtG/fnsjISGxtbVm+YgU5cuRQOpZRSbmaCW9vb6ZNn07WbNnw9vHBwcFB6Uh6Ox/4EvepO3XfZAEL2lamcen/HyRg16go2Xx7ok5jzdN+qwmfGaBQUmEMUVFRtPHyIuTpU1RqNTNnzaJ06dJKxzI6KVcz4O/vz/Bhw3BMlw4fH58vnsRaCfdfRlBz4lbd2lfA6Lol6O5e5L3XWVdwJdu2vli6OPF80lbCRmxNLGNhvrRaLV27dOH6dd0sZ8OGDaNx48YKp0oeUq4m7vz58/Ts0QNLKyuWLltG/vz5lY6kt5eRsdT8ZQthUbqVZDuVycf4TyzRYlnIhey7+2H9TVZClwTwovNqtLEJyRVXGMHPI0dy4MABQLdCcP/+/RVOlHxkEIEJu3fvHm3btiUmNpYFCxZQvnx5pSPpLTouHrcJW7kXFgFA3TwuLOpX67PvU2dzJOuuvoR4LuH1jnPENY8g85pOqB1sjB1ZGNjSpUtZtmwZAPb29lSuXJlNmza997qCBQvqvcqwOZFyNVHPnz/H08ODsNBQfv31V+rXr690JL1ptFqaTd/DuaAXAJTO6MimUQ1R67lGi9rRFpfNPXjRdRXhey4S3OAvXNZ1x8LFfM4zC/Dx9k68HRERQb++fT/4uuEjRqTIcpXTAiYoMjKS1p6eBAYG8mPfvnQ0sysDuiw8yO5rutFXedLYsnfiD9haJe3fcZWNBRmXt8epXWVi/gniSd0/ib/1zBhxhZE8evRIr9elxGIFOXI1OQkJCXTs0IGrV6/SslUrfvrpJ6UjJcnoDWdYdvQGAM5WFgRMakH6NF+4RItahfP0H7DM4sjzaTt53GA2WVZ3xbpcLgMmFsZy9do1pSMoSo5cTUz/fv04cuQI1apVY8aMGUrHSZKFB28wcYtuliNUKvaP/4Fc6b9+iRaHobXIPM0TTUQUT5rPJXpX6v6lFeZBytWETJwwgY0bN1KseHGWLF2KhYWF0pH0tvViID0WByTe3zu8ASWzpzfY9tO2K0eWpZ1BpSK4y1Iil58y2LaFMAYpVxOxaNEi5s6dS+7cufH29sbOzk7pSHo7ce85Tf7YlXh/Zfea1C6c3eD7sa1TiKwbeqFN0PB0qA+vp/gbfB9CGIqUqwnYvnUr4375hQwZMuDj60v69IY74jO2E/efUWH8JtDoLvj/7YfvaFvZeNfiWhZ0QW1vC4BKz6sPhFCClKvCjh87Rt9+/bC1tWX16tXkzm0+a0eFhEdT5bcdukUFgfzpHRjcuKTR9qeNTSDEayma8Cic2lfBYejnr5sVQilSrgq6ceMGnTp1IkGj4e+FCyleooTSkfQWERNHzWm7iY+MSXzs1stw3MZt4U1svOF3qNXyovsaok7exKFOCZynNDX8PoQwIClXhTx58oTWnp6ER0QwbepUqpvR4mzxGi0NZ/tz9d5TAErkz0ImO90IqoB7T6kwYh3PwmM+tYkkCxuxlfCd57Er+w0ZFrUFWbVAmDgpVwW8fv0aj1atCA4OZtiwYbTy8FA6UpK0XXyIg5ceAlAwdyYOD63P+d89yO+km5vz8vPXlBrqw+1n4QbZX/gfAYQuPYhN/qxk9u6MysZ8rqIQqZeUazKLjY2lXdu23L59mw4dO5rdRBaD15/B9/A/AGTOmI79Q+rhYGtFdic7zkxpxfc5MgAQFBlNsRG+nH7w/Kv298b7LM9/24ZlFmeyrO+B2tH2q38GIZKDlGsy0mq19OzRg9OnT1OvXj0mTZqkdKQk+WPfNWZsfTtIwMGOgGH1yeb4/5eMpbO14uCEH2hcNCcA0XEJfDdmIzuu6DcM8r+i/W/ybLAvFunSkHVtd9RZ0331zyBEcpFyTUYjR45k9+7dlCtXjnnz55vVpUS+Zx8waOUR3R0bSw4PqkuhLI7vvc7aQs3mofXpXbWQ7gGtloZTdvD3wRtJ2l/c+SCedlsGlmqyrOiC5bcuX/kTCJG8pFyTyaxZs1j+dj7WlatWYW39hePtFRBw8yme8/x117JaqFnf243K+TJ/9PUqFczpWpVJzb9LfKz74gB+2XBGr/0l3HvBE6+FaKNjcZnbDusKrl/7IwiR7KRck8FaX1+mTJlClixZ8PH1JV068/l4e+VxGDX+2A2x8aCC2R2q0ryUfhOn/NSkFMu7//9VEOO2nKXrggA0n1hhIOHZG560WEDCywgy/toCu4bvr1oghDmQcjWygP37GTJ0KA729nj7+JA1a1alI+ntUdgbqk3dCW+iARjRrCw/Vi+YpG20r5yfPSMaJl46tfjoDRpO3kFMnOa912ojY3na8m/iAp+ToV8d7Dt/fNUCIUydlKsRXbp4ka7du2NpYcGyZcsoWDBpxaSkV1Gx1Ji6i5cvdJdTta1emMlNy3zRttwLZ+fs+OY4WlkBsOufICqN3kBoVGzia7RxGkLaLiPm2kMcPSqQ7mf3r/8hhFCQlKuRPHjwgDZt2hATHc2fs2bxfYUKSkfSW0ycBveZftwO1K0kUKuUK0s7Vv6qbZbOlYHzU1qR2153dcHZxy8pM2wtD1++Aa2Wl318iDzyD/Y1i5J+Vouv/hmEUJqUqxG8fPkSTw8PXr58yS/jxtHQjFa71Gqh5cIDnLoeBECJfFnY1qcWlgYYEZUngz1np3pQKrPuKoN7r95QcsRajv20hdebz2BbKi8Zl7WT0VciRZByNbCoqChat27NgwcP6NWrF126dFE6UpL0WnOCbSdvA5AjixP+Q+piZ224BSsypLXh2OQWuOfTnXsOjY6l0v3HnC6cHRefLqhsrQy2LyGUJOVqQAkJCXTu1InLly7RvHlzRo0erXSkJJm48xIL9lwEII1TWg4Ob0DGtIZfddXWypJdYxrRodw3ugesLfDI64jP7ScG35cQSpFyNaCBAwdy8OBBqlSpwsxZs5SOkyRLj91mtO8J3R07Gw4OrkfeDPZG259apWJZ31qMrF9S90B8Am3m+DPV74rR9ilEcpJyNZDJkyaxft06ihYtyrLly81qiZZdV4PovDhAd8LV0oId/dwomztDsuz7V8/yzO9WAyzVoNEybNVR+vme4hOXwgphFqRcDWDp0qX89ddf5MyZkzVmtkTL2YcvqP/nXohLAJWKJV2rU7+I4Zdo+ZQeVQqwpX9dsNWNWpu94zwtFxwgTiMNK8yXlOtX2rlzJ2NGj8bZ2RnftWvJmDGj0pH0dvdFBFWn7YIo3dyr4z2+p1PFbxTJ0rhETo791BDLdGkA2HDsJjWm7SI8Ok6RPEJ8LSnXr3Dy5El+7NMHGxsbVq1ejaurq9KR9Pb8TQzVp+wkMuwNAN3rFGd0/eKKZqqQJxNXRjch69tLtY5eCeS7X7fx5FWUormE+BJSrl/o1q1bdOrYkfj4eBYsWEDJkiWVjqS3qNh4ak/bTeCTUAAafvcN871MY5BDQZd0nB/TlMKuuolh/nnwjFLjN3M9+JXCyYRIGinXLxAcHIynpyevXr9mytSp1KpdW+lIetNotTSes4+Ld4IB+K5Qdtb3qIEpzX7oks6Wkz83pGpx3QQxT5+9pvCELRy9+0zhZELoT8o1icLDw/H08ODJ48cMGTwYT09PpSMlScelR/A/fx+AfDky4DfAHRsr0/trYG9jhf+gurSq/HY+hvAoKk/eysYLD5UNJoSeTO+3yoTFxcbSvl07bt68Sdt27Rg4aJDSkZJk5ObzrAy4BkD6DA4EDKuHo53pzitrpVbh2706AxuV1j0QE0/zWXv4KyBpE28np+HDh9OzRw9mz579wec3b95Mzx49+LFPH2JiDLuIozAtUq560mq19Ordm5MnT+Lu7s5vv/2mdKQkmXPwBpM3ndLdSWtLwND65HBKq2woPc1oWY4ZHaro5hxI0NB3aQA/bT6rdKwPOnH8OFu3bmX79u3vPafRaPh14kS2bt3KnTt3sLEx/Og3YTqkXPU0etQodu7YQZkyZVj499+o1ebzv27jhYf8uOwQaAFrS/YPrEuxbE5Kx0qSgbUK49O3DlhbghZ+23iGdksOE29i18Jmy5YNgBfP31+Ycfv27QQF6SbE6T9gQHLGEgown4ZQ0Jw5c1iyZAnffPMNq1avNqslWo7efUbzOXshQQNqFd49a1GjgHmuR+VRJjcHhjWEtLoVYFcFXKPuLD+iYuMVTvb/smfXDcAIDQ1977n58+cDUKBAAerWrZusuUTyk3L9jPXr1zNp0iRcXFzw9fXF0fH9RflM1fXgV1SevgtidOUzo11lPMu6KhvqK1Uv4MLl0U1In8EBgH3n71Nh8g6evzGN85c5cuQAdLOjRUZGJj5+7tw5Lpw/D8CPffsqkk0kLynXTzh48CCDBw3CPm1a1nh7k/XtRz5z8ORVFDWm7oRw3QX4AxuVZmCtwgqnMoyi2Zy4OLYJ3+TUzX9w8U4wpcZt5s6zcIWTQY6cORNvBwcHJ96eO2cOALly5aJ58+bJnkskPynXj7hy5QrdunZFrVazdNkyChUqpHQkvYVHx1Fz2i6ePnsNQKvKBZnRspzCqQwrh1NazoxqzHeFdB/DHwWHUXT8Fs48eKForty5cyfe/l+5Pn78mD1+fgD07t3brJZUF19OyvUDAgMDaePlRWRkJDNnzaJixYpKR9JbnEZLvT/38s8D3QX3VYvnYlXXagqnMg5HO2sOD6tPo/K6+RCiX72h3KRt7LwapFimXLn+f2Xcp0+fAjB/3jwS4uNxcXGhtZeXUtFEMpNy/Y+wsDA8PTx49uwZY8aOpUmTJkpH0ptWC60XBnD0SiAAhV0zs6NvbaxS8LIp1hZqtvSuRY86JXQPRMXQYPoulhy7rUgeFxeXxC88Q54+JTIyEh9fXwC6d++OlZWstJBaSLn+S3R0NK09Pbl37x49evake/fuSkdKkv5rT7Hh2E0AsmZ2ZP+QetjbpPxfZpUK5rf5nomtK+ruxCfQZcF+Juy8pEiezJl18yKEhISwcsUKIsLDcXZOT6fOnRXJI5Qh5fqWRqOhS5cuXLx4kaZNmzJ27FilIyXJVL8rzN6h+zbaMl0aDgytj0s6W4VTJa+f6xVjaa9aYGUBWi1jfI7TY/XxZJ94O2tW3fpgISEhLF6yBIBOnTpia5u6/jxSOynXtwYPGsSB/fupWKkSs/78U+k4SbLm9F2GrTmmu2NrzaHBdSnokk7ZUArp+H0+dg+uD3a60U8L91yi8Zx9xMRpki3D/wYSbN6yhUeBgdjb29O9R49k278wDVKuwO+//46vry+FChdmxYoVZnVebN8/wbSZvx80WrBUs6VPbSrkyaR0LEXVKZyNMz83Is3b4b3bT92myrSdhEbFJsv+/3eta0K87vriNm3bki5d6vzHLjVL9eW6Yvly/pw1ixw5cuDj40OaNGmUjqS3C0EvqT1zz9slWmB+p2o0LpHz829MBcrkysDlsU3JldUZgNPXgyg3YSuBoW+Mvu//lSuArZ0dfWXQQKqUqst19+7d/DxqFE5Ozvj4+pIpk/kc8T18+YYaU3ZBZDQAo5qXp0eVAgqnMi15M9hzdkwTSn6TBYA7j15QYtwWLj8OM+p+c//rcqyWLVuSPn16o+5PmKZUW65nzpyhd+/eWFtZsXLVSvLmzat0JL29jIyl+tSdhIVGANCxVhEmNC6pbCgTlTGtDcdGNMCttCsAoS/DKT5hC/tvBH/6jV/hwUPdnLPW1tYMHDjQaPsRpi1VluudW7fo0L498XFxzJs/n9KlSysdSW/RcfG4z9jDvaCXANQpk5fF7SspnMq02Vlbsru/O+1rvh3++yaaWlN34H3mvsH3lZCQwJy3Q11beXiQJUsWg+9DmIdUV64hISF4tm5NWFgYkyZPxt3dXelIetNotfwwL4CzNx8DUDp/Vjb3roFahlN+llqlYnnHKoxs/h2ogNh4vP7yY/reqwbdz+zZs3n06BF2dnYMHTrUoNsW5sVS6QDJKSIigtaengQFBTFo0CDatm2rdKQk6b7qOLvO3AEgdzZn/AbVwdYqVf0RfrVfm5Qiu3Ma+iw9BAkahqw8QmDoG2a2+u6LtxkeHk7dOnXIkiULJ0+eBKBPnz5mdQ5fGF6qOXKNi4ujQ4cOXL9+HS8vL4aY2VHFL9svsnjvZQAcne0JGFafDGllJvsv0btqQTb1rwu2umGqs7afp9XCAOK+cOLtq1eucO/ePY4fP45Go6FIkSIMkHOtqV6qKFetVsuPffpw/NgxatWuzZSpU5WOlCR/H7nFuHW6IyLsbDgwpB6u6e2VDWXmmpbMydERDVE76C69W3fkBrWm7yI8Oi7J24qLjydv3rwUKlwYLy8v1m/YYFYrVQjjSBWfKceOHcu2bdsoWaoUixYtMqu/+NuvPKL7kgDdrCxWFvgNcKdUTrm0xxAq5s3E1TFNqDF1J8Ehrzh8OZDyk7ZzYEi9JA0drlKlCkeOHjViUmGOzKdlvtD8efNY9Pff5MmbF+81a8xqUbiT95/T6M+9EK9bomV59xq4FTKfCbvNwbcu6Tg3ugmFXHWTrVy/H0LJ8Zv55+lrhZMJc5eiy3XTpk1MnDiRzJkz65ZocXJSOpLebj8Lp+r0XRCtG7I5uXVF2pfPp3CqlCmrox0nRzakSjHd6LbgkFcUGb+FY3efKZxMmLMUW65Hjhxh4IABpEmbltVr1rwzJNHUhYRHU23KDmJf6dZg6lO/JCPqFFU4VcrmYGvFvsH1aFGpIACa8Egq/badzRcCFU4mzFWKLNdr167R+e3cmYsXL6ZIkSIKJ9Lfm9h4ak3fzeOnrwBoWiE/sz3KK5wqdbBSq1jXozr9G5bSPRAdS7NZu5l76IaywYRZSnHl+ujRI7xatybyzRtm/PEHVapUUTqS3uI1WhrO3suVu7rlQSoUyYFv9+rIGIHkNbPVd0xrVxnUKkjQ0GdxAD9vOa90LGFmUlS5vnq7REtISAijRo3ihx9+UDpSkrRbfIiAi7px6QVyZWJ3f3esLVLUH5HZGOxWhDU/uoO1JWhh0oZTdFh2GE1yz7wtzFaK+c2NiYnBq00b7t69S9du3ejZq5fSkZJkyPoz+Bz+B4BMGdNxYGg90tmaz7yyKVHrsq7sG9oA0uguy1qx/xp1Z/kRFRuvcDJhDlJEuWo0Grp27cr5c+do1KgR48aNUzpSksw68A/Tt53V3bG3I2BYfbI52ikbSgBQs2AWLo1pgnN6BwD2nrtPxd928PxNjMLJhKlLEeU6fNgw9vn7U6FCBf6aM8es1oVfd+4BA5YfAi1gY8mhQXUpnMVR6VjiX4plc+Li2CbkzaEbvHHhdjBlxm/h7osIhZMJU2b25Tp92jRWr17Nt99+y3IzW6Ll4O0QWs3z1y3RYqFmXS83qnyTWelY4gNyOqflzOgmlCuUHYCHT0IpNm4zZx++UDiZMFVmXa6rVq1ixowZZMuWDW8fH+ztzWe8/dUnr6g+YzfExIMK/uxQhRalc33+jUIxznbWHB5Snwbf6QZzRIa9oeyv29hz7bHCyYQpMtty3bt3LyN/+gknJyd8fXxwcXFROpLegsKiqD5lB0REATC0SVn6Vv9W4VRCHzZWarb1qU039+K6B6JiqDt9J8tO3FE2mDA5Zlmu586do1fPnlhaWbF8xQry5c+vdCS9vYqKpcbUHTx/EQ6AV7VCTPmhjMKpRFKoVLCwbQXGe1bQ3YlLoNO8ffy667LS0YQJMbtyvXv3Lu3atiMmNpa5c+dStmxZpSPpLTZBQ91Ze7kVqDtPV7NkbpZ3Mp9BDuJdo+sXZ3GPmmBpAVoto7yP0WvNCeRSWAFmVq7Pnj3D09OTsLBQfp04kbp16yodSW9aLbRaEMCJa48AKJbXha0/1sZSbT5XNoj3da74DTsG1wM73Wxr83dfpOnc/cQmaBROJpRmNuUaGRlJ69ateRQYSL/+/WnfoYPSkZKkj88Jtpy4BUB2Fyf2Da5HWutUMZ1uile/SHZOj2yErWNaALaevEXVqTt5FRWrcDKhJLMo17i4ONq3b8+1q1fx8PBg+PDhSkdKkkm7LzNv10UAbB3TcnBYfTI5mM+8suLzyubOwJUxTciRxQmAk9eCKDtxK4/C3igbTCjGLMq1f79+HDt6lBo1ajB9xgyl4yTJ8pN3+Nn7uO6OrTWHhtQlXyYHZUMJo8iXyYHzY5tSPJ9uOe3bgS8oNW4LVx6HKRtMKMLky3X8+PFs3ryZEiVKsHjJErNaomXPtcd0XHhAd8LV0oLt/dwplzuj0rGEEWVMa8OJnxpQq5QrAM9fhFNswhYCbj5VNphIdibdVAsXLmT+vHm4urqyxtsbW1v91zVS2rmHL6g7yw/iEkClYlGX6jQoml3pWCIZ2Flbsru/O22rF9Y98CaaGlO243v2gbLBRLIy2XLdsmUL48eNI2PGjPj4+uLs7Kx0JL3dexFB9Wm7IEo3uce4Vt/TpdI3CqcSyclSrWJl5yqM+KEsqIDYeDxn7+GPfdeUjiaSiUmW67FjxxjQvz92dnasWr2aXLnMZ1joizcxVJ+yk/C3X2R0cy/OmAbFFU4llDK5aRlmd6oOFmrQaBm0/DCD1p1WOpZIBiZXrtevX6dTx45oNBoWLV5M8eLmU0xRsfHUnrGHh09CAWjwXT4WtKmgcCqhtB+rF2R9vzpgo7v07o9t5/D8+yDxGhltkJKZVLk+efwYr9atiXjzhunTp1OtWjWlI+lNo9XSZO4+Ltx6AkDZgtnY0KOmLNEiAGheKheHRzQCB908vb6H/6HWjN1ExMQpnEwYi8mU66tXr/Dw8ODp06eMHDmSFi1bKh0pSTotP8Lec/cByJsjPX6D6mBjZTL/e4UJqJwvM9dGN8ElUzoADl16yPeTdvD0dbTCyYQxmMRvf2xsLG3btOH27dt07tyZPn36KB0pSUZtPc+K/bovKpzTOxAwtD7OdtYKpxKmqFAWR86Pacq3uTMBcPXeU0qN38ytkNcKJxOGluzleufWLRISEhLvazQaunfrxtmzZ6nfoAETJk5M7khfZd6hm/y64ZTuThpbDgytT07ntMqGEiYtq6Mdp35uRKWiOQF4EvKKwuO3cPzeM4WTCUNK9nIdM3Ys7dq2JTpa91Hop59+ws/Pj/LlyzNv7lyzWqJl84VAei89qFuixdqSfQPrUCK7k9KxhBlwsLXiwJB6/FCxAADxryOpOHk7Wy8GKpxMGEqylmtYWBhHjhwhICCApk2aMHnSJFauWEGBAgVYsXIlVtbm81H62N1nNJvrDwkaUKtY07MWNQtmUTqWMCNWahXre9Sgb4NSugeiY2kyazcLDt9UNpgwiGSdlsnH25u4ON23o5cuXeLSpUtkdnHBx9cXBwfzGW//z9PXVJm+G6J1sx5Na1OJ1mVdlQ0lzJJKBX96fEdO5zQMW3MM4jX0XHSAR6GRTGhcUul44it80ZGrRvNlc1WuWbPmvcfiYuMIeWo+466fvo6mxtSdaMIjAejfsBSD3YoonEqYu6HuRVnVuzZYWYAWJq4/SaflR9DIzNtmK8nleubMGSpVrMi1a0kbxnf82DFu37793uOhoS9p3rw5AQEBSY2S7MKj46gxbRfBIa8AaFGpIDNbfadwKpFStPkuL/5DG0Ia3Rway/Zdpf6f/kTHxSucTHyJJJfr1StXCAwM5IdmzTh14oTe75s/f/5Hn4uNjWXXrl1oTfhf6TiNlgaz93L9fggAVYrlZE038xnkIMxDrW+zcH50I5ycdSsZ7zl7l0q/7eTFmxiFk4mkSnK5dujYkZkzZxIZFYWnlxd79+797Hvu37/P/v3733vc0sqKVh4eHD9xgt9//92krxTw+vsghy/rvskt5JqZHX3dsJIlWoQRlMyenotjm5Ine3oAzt16QpkJW7j/MkLhZCIpvuica4uWLVm8eDEAXbp0Yf369Z98/Z+zZr1zbatKpaJOnTocPHiQmTNnki1bti+JkWwGrD3F+qM3AMiS2ZEDQ+rhYGulcCqRkuVKn5Yzo5tQpoDud+PB41BKjtvC+cCXCicT+vriS7Hc3NzwWbMGO1tbBvTvz6JFiz74usePH7Nx48bE+4UKFWLDhg0sXbaMPHnyfOnuk830vVeZtf08AGqHNBwYWh+XdOYzr6wwX+nTWHN0eAPql8sHwKvQCEpP3Irf9ccKJxP6+KrrXL/7/ns2btpE+vTpGTtmDFOmTHnvNb/99huxsbGkSZOGUaNGsdffn+8rmMdMUd5n7jNk9VHdHVtrDg+uy7cu6ZQNJVIVGys1236sRRe3YroHomKoM20nK07eUTaY+KyvHkRQpEgRtm7bRvbs2Zn5xx+MGDEi8Yupa9eusWnjRsqWLcu+/fvp3aeP2SzTsv9GMF7z94FGCxZqNvWuTcW8mZSOJVIhtUrFonYV+cXje92FsXEJdJi3j8m7LysdTXyCQZrO1dWVbdu3kz9/flYsX06vnj2Ji4tj7JgxDBo0iC1bt5I7d25D7CpZXAwKo9YfeyA2HlQwt1M1mpbMqXQskcqNbVCCv7vXAEsL0GgZueYYfbxPYsIX2aRqBhuh5eLiwtZt22jdujVbt27l4cOHjBgxgqpmNCcrQGDoG2pM3QmRurkPfm7+Hb2qFlA4lRA6XSvlJ4ujHY3+3AvRsczddYGg0Des7VEdawvz+FSYWhj0T8PR0ZGNGzdSpUoVLly4wO9TpvD6tflMpRYaFUv1qTsJfRkOQPuahZnYuJTCqYR4V8OiOTgxshHWjmkA2HLiFtWm7uJ1tEy8bUoM/k+dra0tq1avpmGjRpw/d44mjRsTEhJi6N0YXEycBvcZe7j7SHepi1tpV5Z2qKxwKiE+rLxrRq6OaUp2FycATlx7RNkJWwgKi1I2mEhklM8RVlZWLFiwgLbt2nHjxg0aNmzIgwemu6ywVgvNF+znzA3dJS4l82dlS+9aqE14UIMQ32Ry4PyYphTL6wLArcAXlBq/matPXimcTIARpxxUqVRMmTKFfv37E/ToEY0bNUryfATJpfvqY+w4pbu0JVdWZ/wH1cHOOlknDBPii2RysOH4yIbUKKn7wvjZ89cUnbCFg7dN/9NiSqfSJsOA/oULFzJ+3Djs7e1ZvmIF5cuXN/Yu9TZ+xyXG+h4HwMEprW7YYQZ7hVMJkTTxGi0dlh5mzcHrugdsLFlVPA811p432D7WpbVkQGbdAJq9I5tQ+1uZv/hTkuXwrHv37jg7OTF48GC8WrdmwcKF1K5dOzl2/UmLj95m7Nq3k8/Y2RAwpJ4UqzBLlmoVq7tUJbtzWqZuOQMx8bQ9c5ux4eF0CotBZYBPYgnp7SCzjE7UV7J99m3ZqhWOTk707NmTzp0788cff9C8efPk2v17dlwJouviAN0JVysLdvd3p3SuDIrlEcIQpvxQhhzOaem//BBotIwrnpXwIjmZPrz+V2/b+dhtmL/PAClTh2S9MM7d3Z01q1djZ2tL/379Eid/SW6nHzyn4Z9+EJ8AKhXLutegTmHTnjxGCH31q/Et6/rVhbejIWdcDcRr0SHiNTLaIDkl+1XH31eowMZNm3B2dmbG9Bm8CgtL1v3feRZO1Wn/v0TLr60r0KF8vmTNIISxtSidiz3f5sIiRjcbnfeh67j9sZs3sTLxdnJRZEhHkSJF2LZ9O6vXrMbRySnZ9vssPIZqU3YS/eoNAL3qlWBk3WLJtn8hklNFezt2nXxI5rcrGwRcfMj3k7YTEh6tcLLUQbHxcq6urpQsWTLZ9vcmNp5a03cR9DQMgCbf52eO5/fJtn8hlPBNZCwnahWjQC7dpENX7j6l1PjN3H4WrnCylC9VDEaO12hp/Jc/l+/qFkL8vnAO1vaojowREKlBFltrTo9qRIUiOQB4/PQVRcZv5uT95wonS9lSRbl2WHqY/Rd0I8Ty58zAngHuMsmFSFXS2VoRMKQezSroJiGKfRXJ95O2sf3KI4WTpVwpvmGGbTybeGF1xgwOHBjagHSyRItIhawt1GzoWYM+9UvqHoiOpdGMXfx95JaiuVKqFF2uswP+0V1QDWBvR8CwBmR3slM2lBAKUqngL8/yTG5TCdQqiNfQ/e8DjN12UeloKU6KLdf15x7Sb/lh0AI2lgQMqkuRrI5KxxLCJIyoU5QVvWuDlQVotYxfd4IuK46hkZm3DSZFluvh2yG0nLcXEjSgVrG2V22qfZNZ6VhCmJR23+XFb0h9SGMDwBL/yzScvY/oOLkW1hBSXLleC35F1Rm7IUa3RMvMDlVpWdp8lpgRIjm5FcrGuZ8b4+ism1Nj15k7VPp9Jy8jYxVOZv5SVLk+fhVF9Sk7IUI3YfDgRmXoX+NbhVMJYdpK5UzPhbFNcM2WHoBzN59QZvwWHr58o3Ay85ZiyvV1dBw1pu7i2XPdsjKtqxZiWouyCqcSwjy4prfn7JgmlC6QFYD7j19SYtxmLgS9VDiZ+UoR5RqboKHuLD9uPnwGQPUSuVjRuYrCqYQwL+nTWHN0eH3qls0LQFhoBKUmbMX/n2CFk5knsy9XrRY8FgZw/KruYuiieV3Y3tcNS7UMvxIiqWytLNnRtzadahfRPRAZg9vU7aw+dVfZYGbI7Mu1r+9JNh/XXQSdzcWRfYPrklaWaBHii6lVKpa0r8zoluVBBcQl0HauP7suy2iupDDrcv1tzxXm7LwAgLVjGg4Oa0BmB5kpXQhDGN+oJAu61gRLNWi0rDt6Q+lIZiVZ1tAyht/9rjBi9VHdIAELNcVyZ8LeToa1CvE/2sBQEm6HYJE7A6T78oOO0Nh4boS90Z2De2v3iEYywfxnmO3n5xGbzuqKFSBBkzjjlRDiXzKnhaho3X8GtOtqkJTrZ5htuf7WtAwjNp0ljbUFjnKOVYj3xSagio4z2OZitFpexMaBlQVD3YsabLspldmeFhBCCFNm1l9oCSGEqZJyFUIII5ByFUIII5ByFUIII5ByFUIII5ByFUIII5ByFUIII5ByFUIII5ChTUIRJ44fx9vbm4cPH1K2XDkMPUFkZhcXOnXqhIWFhYG3LIR+ZISWUMQPzZpx4sQJo+5jy9atlCtXzqj7EOJj5MhVJLvg4GBOnToFgLNzepycDL/kuYuLC8WLFzf4doXQl5SrSHY+Pj5oNBpUajV7/feSLZvMriRSHvlCSyS7zZs2AVCmdGkpVpFiSbmKZHXt2jVu3rwJQPPmzRVOI4TxSLmKZOXj7Q2AjY0NzX74QeE0QhiPnHMVyUar1bJt2zYAqlWrRrp06d57zfPnz1mxfDmXL1/m3r17uLi4ULhIEQb074+jk1MyJxbiy0m5imRz+PBhnj7VLcfTqlWr954/d+4cXTp3TnwNwM2bNzl8+DDbt21j6bJlFC0qM+AL8yCnBUSyWevrC4CTkxNu7u7vPJeQkEC3bt0SizV//vzUb9CAYm8vpwoKCqJxo0bcu3cveUML8YWkXEWyiImJwc/PD4B69ephZfXuSr0b1q/nyePHAHTt2pWDhw6xaNEi9uzZw5AhQwCIjo5m4cKFyRtciC8k5SqSxfbt24mIiACglYfHe8+fPHkSACsrK4YNH/7Oc3379iVN2rQAXLl82chJhTAMKVeRLNavWwdAjpw5KV++/HvPhzx7BkDu3Lmxt7d/5zkra2syZcwIwMvQUCMnFcIw5AstkWSPHj1i+LBhhISEsH7DBhwdPz18NTQ0lKNHjwLQtEmTD77G3d0dl8yZye3q+t5zWq2WkJAQADJnyvR14YVIJlKuIklWrVrF+HHjEj/iz50zh59Gjvzke9atXUt8fDwqlQrP1q0/+Jp27drRrl27Dz536dIloqKiAChQsOBXpBci+cisWEIv0dHRdO3alf379r3zuKOjI+fOn8fOzu6j761Tpw6XL12iWLFi7Hn7pZY+YmNjOXHiBAP69yc4OBgbGxuOHTtGVhkyK8yAnHMVegkKCuLAgQOULlOGJUuXolLr/uq8evWKpUuWfPR99+7dS/wSSt/hrnFxcRTIn598efPi6eFBcHAwrq6urF6zRopVmA0pV6GXfPnycf36dbZv307dunWpXatW4nOLFi0iISHhg+/z8fZGq9ViaWlJi5Yt9d5fRETEO9uMjIzk+vXrX/4DCJHMpFyF3v49XHXQ4MGoVLr1A4KDg/Hx8fngezZv3gxAxYoVSZ8+vV77sbS0ZOCgQXh5eVG2bFlUKhUhISGMHjWKuXPmfN0PIUQykXOu4ou1bNEi8SqAfPnycfjIkXeeP336NE0aNwZg9l9/ffEsWCdPnqRly5bEx8Xh4ODAhYsXP3mOVwhTIEeu4osNGjQo8fadO3fYtWvXO8/7vj2atbe3p2HDhl+8n/Lly+Pl5QVAeHh44ioGQpgyKVfxxSpUrEip0qUT78+ePTvxdkJCQmLZurm5YWNj89HtaDQaNm3axLq1axPnev2vEiVKJN4ODAz82uhCGJ2Uq/gqAwYMSLx94fx5Tr1ddHDPnj2Evh1N9aHhrv8WFhZGn9696d+/P1u3bPnga/49eCDt26GwQpgyKVfxVdzc3ChUqFDi/Vl//gnoBg6AbqHAqlWrfnIbzs7OWFjqxrMEBwd/8DVBbyd1AXD9wCguIUyNlKv4an379Uu8HXDwIOfPnycgIACARo0aJV5V8DEqlQqXzJkB8PPzIzIy8r3XeK9ZA+iuJMibN6+BkgthPFKu4qs1adIk8WhSq9HQqmVLYmJiAD463PW//nfq4Pnz5zRt0oQjR44QERHBjRs36NypExcvXtTtq2nTz85lIIQpkEuxhEGsXLmS4cOGvfNYgQIFCDh4UK/3h4aGUq1qVZ4/f/7R1zg5ObHHz4+cOXN+VVYhkoMcuQqD8PT0JEuWLO881rRZM73f7+zszF5/f0qXKfPB58uVK8e+/fulWIXZkCNXYTDz581j/PjxAKjVas6cPfte4erj+fPnXLhwgQcPHpAvTx6Klyyp9+guIUyFlKswmOjoaMqULk1oaCgVKlRgw8aNSkcSQjFSrsKg/P39OXTwIG3btaNAgQJKxxFCMVKuQghhBPKFlhBCGIGUqxBCGIGUqxBCGIGUqxBCGIGUqxBCGIGUqxBCGIGUqxBCGIGUqxBCGIGUqxBCGIGUqxBCGIGUqxBCGIGUqxBCGIGUqxBCGIGUqxBCGMH/AWKuYR/cjKETAAAAAElFTkSuQmCC",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/179.jpg"
}
] |
<image>Find y.
|
A
| 64,627 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/180.jpg"
}
] |
<image>The diameters of \odot A, \odot B, and \odot C are 10, 30 and 10 units, respectively. Find B X if A Z \cong C W and C W = 2.
|
A
| 64,628 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/181.jpg"
}
] |
<image>According to the Perpendicular Bisector Theorem, what is the length of segment A B below?
|
A
| 64,629 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/182.jpg"
}
] |
<image>Find x. Assume that any segment that appears to be tangent is tangent.
|
A
| 64,630 | null |
A
|
[
{
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/183.jpg"
}
] |
<image>Find the area of the regular polygon. Round to the nearest tenth.
|
C
| 64,631 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/184.jpg"
}
] |
<image>Find x.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/185.jpg"
}
] |
<image>If D E = 60 and F C = 16, find A B.
|
D
| 64,633 | null |
D
|
[
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IgqEBQzq5MaxtU0RVoGDyi8ScCk8gMCRe7juS4eJoxww/b97v3VwvnebD151gz8X7YGqEZP0krd6rLFm7ekIPZvRtqfF73U3Kou2ifeRn5sq3dWjhyOXPhwh5thpA32Z2tcLYLT0SyifbL8jzWQ2sLfhsQGvcGmg/nORx5hMCb8dz+u5D1ZJFBiL82jgzO8CHQT6NtT6OytBh0T6u33+Ek4Mtcd+N1vr98ouKmfLHRf44qZC1w7s15/d3NC9rAQauPsbhq1Hy92Y2lkQuHin0xqgk+mbsaryMfWP9Kbafuyt3Sns0bcA0Px8sTLW3QiQBbsWlEnj7gXSGovw8sTDjg95Sqequ48oo5SUmTToTrapqymbGRvw+qSe+Xg68s/EM5Bey+8J9vEtlbTsnzclagEMz/Vl1/A4f/X4WxBLyM3NpPGcLJ/4zlL6CH6/GUGNndmIxtF+8h1sR0ppaiODVTu6M6NhMa4sQTwpLOBmewMGQePIyclX2uTaxZ4a/N+/1bI6lSfV5xhSLJRhP/hVKxIzr48GWyb2r9P53HmcxbM1R7seX5r6aGrFmfA+ma0HWXoxJoduSvYoZuEjEmnf6aOVetQFhZlcFpD8ppOUX/5KcUhrGYWzIFF8furhp5yn9KCOPw7fjOXs3QbHCC2Agon87F+YE+FTbhPS49Fx52lzTelW/aOLZqA7BC4fx3h8X+PPkHSgoZsbGUxy/k8Dvk3pq1MfZtWk9UlaMp/m8HaSn5YBEwoyNJwlLSGfduK4au4+Abqhxxi4iKZvmX+5ULERYmPHFq21x1bB/TgLciE0hMPgBEQ+S5UG3AFiZMa23Bx8HeNFMR410NEVkkiLur2ndqo0/lGFmbMQfk3rh6+HIpE1SWbvrgmK1VpOytq6VKSnLx9Hpv/u4fu8RAD8evkVkcjaBswI0dh+BqqdGrTldiEqh+Rd/yw2djZ0V347spFFDl1dYwoFbcUzfcp61B24QEa8wdO5OdVk9qQ95K8fxwxudq72hA9WwE1cNZE9Uhne6uxH29QjcnaQZFvGPMmj/9W7Wnrqr0fsYGMC1eUMY10cR2HzkWhTeX+5C/GyvcIEXoKvUsLKoMTO7fSEPGLr8sLwZs7ODHXNfbYulhkoxPUzP4/DtOM7fS1DteWpowMB2TZnT3xt/D913UNI00UrFB6pi9fpleDaqw+2Fw3j39wtsOSWVtdN/PcWJO4/Y9E4PjcraLZN70bKRDV/+fREkEBadhOMn24j6dgwWQsZFtaNGGLstl6OY8GOQ3Lfk3awhM/u3wsiwck8ViRiuxaYQeDuOqIepqlLV2pyZfTz42N8L5ypOL6tKYpJLZ3ZGBjjb6cf/08zYiD8n98LX04HJm85CfiE7zt/jSnQye2b6lauKcnlZMKg1TetZMfHHIBBLSEzOwm72Fh5/PwY7LVeaEdAs1d7YrT97nykbTshDSzp7NWFKb89KBQrnFhRz/E4C+0PiKc5Src3V0qU+MwO8mdTNFTPjav/neymxpWEn9W0tNVoMVBNM6u5OV9f6DF19lMgHacQ9Sqfdwt2sfbMnU3u30Nh93uriSmNbc/y/PQAlYgqz8rCfs43H342hYR3dNpERKD/VOvTkxzP3mLrhpDyOrU8bF97s0ULt0JL4tFwO347j4r1Hqg11jAwY3L4Zc/r70K+Fbko+6Yomn/zNw8QM2rdw4Nq8IboeTpk8KSzm3T/Os/VUuHzbqB4t+O1tzcraG/FptF+4S/HdMDflwXdjhCrIz6Gpiws+rVqxf/9+XQ8FqMYzu1/O3GPqhhNyaRnQwZU3urhV+DoSMVyJSSbwdhwxD1WbtxjVsWBGHw/mBHjSxFY/JFxV8zBDOrNz0ePFFnMTI7ZM7o2vhyPvbpbK2n/PlcraGf6VajSkTDsne8K/eR2PL/6VxuI9KaDJp3/x4H9vCAavGlAtvaxbLkfx/oaTckM3oKNbhQ1dTkExe67H8u6Wc/x8+KaKofNq2oCf3+tHzoqxLH+9Y601dIlZ+fIAWxcdr8SWh8k93An56jXcmkh9drEJ6bRduIsfT9/T2D1aNqhD9HejwazUX5dfSJNP/yIh88mLTxTQOdXO2O0LecCEtcfk0jWggyujK1BfLS41h59P3mHW5tPsvXgPskt9ckYGDOvanNMLhhP69XCm9GqOqbF+FB3UFREpipXYZtXA2AF4O9hwe+Fwxvb2kG4oKGbqhpOM/uUUucoB35Wgqb0VD/6navAa/992UnMLXnxiLUPfPGTVSsZejElh6LJDKj668szoxGIJl6OTCbwdT1yCqlQ1s7Fkel8PZvt74mhjoZVxV1cikxXGzrWa5PGCVNZufbc3vp6OvFcqa/85e5fLUUkak7XSUlGv4/x/2yG/GPIKqPfpdrKXj9XLyjUC1WhmF5OWQ7dFu+XhJZ29mvBWjxevuGXnF7PrWgzv/XmO9YG3VAxdK9eGbHjfl8yVb/D9yA6CoSsD1YDi6mPsZLxbKmtdn5K1P5+5r5HrO9lZEvnNaJDlOmc/weWzf4TAYz2lWhi7nIIimn2+Q74K5tWsIVN6P79sd0xKDj8eD+Oj30+x/9J9RYNrY0NGdG/BuYWvEbxwGJN7uGOiJ/Xx9ZFYWUCxSISrjlLFKou3gw0hC4fzRi+FrP1g/QnGaEjWuta14vbXI8BI+lNKS83Gc8G/lb6ugOapFjLWY95OyJOmgDVuZMuMAJ9n4uhKSqRS9fDtOB48SlfZZ21ryTRfTz7y9RLioipAbOnMzqSOebWOKTQ3MWLbe73x9XRgyu/nIL+Qv0tl7d6Z/rRyrJys9XG05cTnQ+m3eA+IJdyLS8V/RWClWk4KaB69n9n5K7c4tLbg01fbYWKkGHbWkyJ2XI1myp9n2XDkloqha+veiN+m+pG6chzfDG8vGLoKEpcqNXbN7avH4sTLeK9nc24vHE6z0gyLmIR0Wi/cwy8akLV93RuwZZo/siDPoBsxzNx+udLXFdAcev24/mr/LYJuxEjfGBmyaEg7rMykQ45KzubQrTiuRz1WbYRsbMjrXdz5uL83XZpqtjFMbSMiVVqTr6qKdlYFPo623P5qOJM3n2P7mbuQX8j7609wPDyBXyf2qFStwXGdmhExuitfbr8IwJoDN2jvYs/bXYV2jfqA3hq7c1FJLPznkvz9zFfa0NDanHP3EzkcHEeCckNrwNbOiml+Xszs50EDa2EGV1my8ovkroOaZOwALE2M+Ou9Pvh6OPL+H1JZu/3MXS5HJbN3hj8+jrZqX3vBoNbcfpDOv+eklVje+fkEHZ3rVeqaAppBL41dXpGYnt8ekIeY9Gvrwr3ELFYfD5P/AAEQQfvmDnzU35uxHZthZKBfuZvVGeWwE000xtZHpvRqTje3egxdfYyYhHSiH6bRauFufnmrB+/1bK72df95vw8e8WncjUuGEjGtvt5D/po3hd60OkYv//pdl+xV9FE1NeLE7XgOX4lQGDpTI97o5cHVRSO5Nm8Ib3Z2FQydholMrt5hJ+WllaMdIV+/xuiepaXX8wuZ8ssJxq4/zZNKrNbe+nIoWJYqjLx8Oi7Zq4HRClQGvTN2Sw7d5nZUomJDQbE8tq5eXWsWvN6F5BXj2fZebzo419XRKGs+0UrZE271a+bMToaliRHbp/Thp/f6QWn9w7/OhOOzcDchCRlqXdPU2JCQBcOg9CEcEpXIJzuuamrIAmqgV8YuKjWHedsvPLvD0oyf3uvLo2Vv8NWQNtSzMq36wdUyolOVGmNXo+yJyvB+r+YEf/UaTUtDUaIeSGXthnMRal3P28GGNW8rGhQt3XudK7EpGhlrdUGf9JZeGbuuS/bJ69KpkJvPJ/9c4dS9x1U/qFqKLMYOc1NsalGRSpmsfV1J1r7383HGbVBP1k7v25J+bV2kbyQSOn93QMiw0BF6Y+ymbbtIckqW9I1SAr6zg/Qpm52Ri/93B1iw7xZ6ll9cI4kvndlV18yJymBpYsTfU/qw7t2+clm77bRU1oY+yqzw9Y59NACsSv13OfkMWxekwdEKlBe9MHZ3Hmex7nCw/P1Ufx/5658mdmfO0PZS30eJmEX/XKLvskMkZwsVJrRJZBU3xtZHPuzdgpsLX8NFSdb6fLmLXysoaw0M4MKnr0Jppef9lyMIuiuolKpGL4xdn/8pwkx827lgZ6nwybWoX4dlozqyb+5ADKylyfqng+NpMW8HJ+8llnk9gcpRUFRCXqa09FV1qGOnTdo0tiPkq+GMkhWdyC/k3Z+PM/7Xisnark3r8VY/RT63/8pATQ9V4CXo3Nj9Z/cNhXw1M+HwLH9iZDFeBiJ5hdzBPk2IXfIaHVpIm01npOfQ79t9fHUgWJC1GiY6LVf+8Glat3YsTrwIK1Nj/nm/L2uVZO3WU+G0WribsMfll7Wb3+6JqE5pdZ3cfN7ZfFYLoxV4Hjo1dolZ+Xy7R7Ec//cHvhgbGMqbvNjZWqrEzzWxteTi54OYNbidVBIUi1m4/SJ+KwJJzRFkraZQDihuVsPDTirC1N4tuLFwuNyPHPkgDe8Fu9h4vvyy9tRH/eWvN50I42GGUOG4qtCpsfNfflgeQ9e+hQOvt3cGIC7l+X0PjAxErBzdid1zXgErad3/EzdjaTF/J2cikqpo5DWbKOU6dsLMToW2je0J/Xo4I7srZO3kn44z4dcz5Be9XNb2cm9An9bS7zliCQNW1Fw5q2+CS2fGbseNOEJkwcNGBhz7WFEOJy5dmoDu8oIf2rA2TsQuHkHb5o0AaR2x3v/dy5JDt7U36FpCTC0KKFYHK1Nj/v2gLz9M7iOXtVtO3aHVwj3lkrX7Z/jJ69+FRidyQlisqBJ0ZuxG/XJC/nrBiE7yhsPJ2QXyVDHnl4Q9ONtbcuWLIUx7ta1c1s7bdoGAFUdIyyvU2thrOvIYOxMjHOoIFZyfx7Q+Lbm+YDhODrYARMSn4r1gF7+dj3zheVamxnw0sI38/ZifT7zgaAFNoRNjN2P7JciV5rla21ry1WDFBx9ZwSYvRgYifnijM/8qxTIduxGDx7wdnI9K1vDIawexpTF2jnaW6FlfbL2jnZM9YV+/xgglWTvppyDe3PhiWbvi9U5gLo06SE7JYv1ZzZSKF3g+VW7scgqK+EEppm7vzACV/VFKxq4iCegj2zkTtWgErd2kTayTU7LpsXgP3waGVHLEtQ9Z0c7aHGNXEaxMjdnxQV/WTFLI2j9P3qH1wj3ceZz13PPWTegmfz3lz/NaH2dtp8qN3fB1x+WLEm2bN6KvewOV/VFK1TbcKpiT2ayuFVfnD+WDV1pLk/KKxfxny3leWXWM9CeCrC0PYomEpNLG2M41pEJxVTG9r6qsvR+fiteCnWy6WLas/bBXC+xkf+O8fBbsu1k1A62lVKmxi0nLIehmbOmdRRyY6f/sMbIEdBG4qRHQamwg4sdxXfl71itgIZW1gdei8Jy3k4vRtSsJWx0eZuTJKz/X9oBidWjnZE/oV6/xWrfSenj5hbyzLoi3Np4tU9Zum9JX/nrR3mtC3qwWqVJjN/yHIHmw6tDObmW2L4wtlbEGVhaYV6JE9uvtnYlcMgIfV6msTUzOotviPSw9Gqr2NWsDEUoz62Y1uI6dNrE2M2bnh/1YPamPvM3iHyfDaL1wD+GJqrJ2gJejPB2NgmI++kfoW6EtqszY3XqYxq2I0iV2IwO2vdenzOPiSvsetLCvfAK6a10rrs0fzHv9W0llbVEJn/xxjkFrgsgUZG2ZRCULYSeaYkbfllxbMJwmjWwBqaz1nL+TzZdUZe1fH/STv15z9LYwu9MSVWbs3vjppPz1O309sTAuu1/rPVkCej3NVNswMTTklwnd2DZjAFhIV78OXonEc/4ursSmauQeNQnlOnZuwsyu0rR3lq7WDuuqkLVvrw1i4iaFrO3atB7uTqWFaAuF2Z22qBJjd+thGuGxpWEgxob8PKFrmcflFBRBrjR95kUBxerwRkcX7i8agWdT6YLIo6RMOn+9mxVBYRq9T3VHOS9ZWI3VDNZmxuye2o9V7/SSy9rfj4fR5qt9clm7dYpC6aw5JgTGa4MqMXYT1p+Wv363rxfGBmXP6iJTcuQ5Jtpo8uJe35ob84cwyd9HLmvnbD7LsLXHyc4v0vj9qiNxpTNrWxtLjIW+HhplZj9Pri4YRuOGtgDci0vGc8Eufr8URSeXejR1lPazpaCYr/bf0t1ANYhIjwI1tW7sYtJyCIlWpIWtG9/5uceqNnmpo5XxmBob8utb3flzmr88qHPvpQg85+/iWpwga2Uxdk2FWZ1W6OBclzuLXmNol9Jesk8KmLjuGG9vPsu6txRxdwsP3NTNAGswWjd2Ezeekc/WxnRr/txZHUC0crUNDfnsnsf4zq6Ef/0aLV3qA/AwMYOOX+9hzcm7Wr2vvhObVvMaY+sb1mbG7Jnmy0qZrJXA5qAwZm+7jIVt6fc+N58tl6N0O9AahlaNXV6RmNMh8aV3ErHhre4vPD5GuclLFTjHWzasw60FQ3nL10u6obCYmRtPMeLHE1L/YS0jJUeRlyzE2GmfWU/J2ruxyeTlKUqVfSIsVGgUrRq76dvOyxvo9PRqgpWp8QuPl+VkYmZC3SrqIGZqbMjmt3uyaZofmEmLEey6cB+vBbu4+TCtSsagL0TUgsbY+kYH57qELXqNwZ1LZa1S9eNHiZlq9bwQKButGrvflJKbN7zd46XHy+rYNdVAjF1FmdjFjbCvR8hDAOIfZdBu4W7Wnb5X5WPRFdGpSnnJQh27KiElp4ClR8M4H1l2i4EP/jhXxSOquWjN2G25HCWXRI0b2tCywcsXHGLkMXa6mVV4NqrD7YXDGN+ntFdAQTHTNpzk9Z9PkluJ7vDVBZW85AbCzE6bXI1N5Y31p6j/0RYW/XOJNKUHDSBvuHr2zsPqG2SsZ/0StGbs5u+6Jn/95bAOLz2+SCwhM7O0aKe97mYVZsZG/Dm5F79+4CuXtf+eu4fPgl3cTkjX2biqAuW85IpUnBEoH8ViCb9fiqLD4n10mr+D7WfuymWrha0l7w9oLT+2rmxmXSIWVmY1hFaMXfqTQqITSv1dpka819P9pefEpOTI/Xv64Byf1N2dkK9ew7WJNPYpJiGd1gv38MuZmlt3TJaXjJU5lpXISxZQJSk7ny/23KT+7G1MXHuM6/ceyfe1cWvExg/8yFg5jlEdXOTb35F1MwPWBAn53JpAK9/oT/+9Jg83ebW1y4sPLiWqgkU7qwJvBxtCFg5n0ubz/HUmHPILeX/9CY6HJ/DbxB6VKlSgj8jyklsKpZ00wsXoFJYdCeHfy5FQVKLYYWzIqM5ufNzfh67N6sk3K7sRXvF2ZGlQGOQ8ISMth4ikbNwbCLPtyqCVX+vGi4puS6vGPD+IWJlI5SYveiShzE2M2PZeb/p5OPD+H+cgv5DtZ+5yJTqZvTMC8Haw0fUQNcZdeWPsql8gqikUiSX8eTGKVUdDuRWp2lvC1s6Kqb5ezPL1oIG12TPnqiwQ1bdmUld3Npamjs399wq7p/pqd/A1HI0bu7tJWYizpQ2WzWwsy/00Ug4odtdD5/iUXs3p5laPoauPEZOQLu8Ov2FiTyb3eLlM13dyC4shpzQvWY8eNtWFR5n5rAoKZc3JcPIyclX2tW/uwKz+3ozr1EylNejTyHt/GBngYm/J/0a0Z2PQbZDAnltx2hx+rUDjxu6LnYqFiTe7uJb7PHmMnbEhjW30c2bRytGOkK9f4+3fzvLvuXvy7vAnwh+x4a1umBlXX1kblZKtyEsWsifKzfmoZJYGhrDrapSqVDUxYkwXN+b296GjS91yXUvWL7mejSUGIhF1rUxpVK8Oj5Oz4EkBF6JS6OZa7yVXEXgeGl+g2BEcL3+9ZHj7cp8nM3aN7Kz0usmLpYnRM93hZW30XtRvQN+JTFJyIwh17F5IYUkJG85F0GrhHnos3MWuC/flhs6+rjXzX+9C8srx/PVen3IbOlDEmSqn6r3dS7FQ8eXea8+cI1B+NDoViU/PlUshC1tL6lcgC0KWgO5UTfxFU3u3oHuprI1/lEGErN/A5F5M7OKm6+FVmCglf1EzIaC4TB5m5LHiWBhrToVTmJmn2CGCji0cmd3fm9Edmr5Qqr6IB+nPNoefP6gN3+66BhIJR+88et6pAuVAo8Zu8UFF17ARbZzLfZ5EAo9lH3Q1Wgls21hamPGtjWelT/fSwozH7zzil/HdMH1OgVJ9JEZpgci9go2OajpnIpJYGhjC3mtR8v4cAJgaMa6rO3P7+9DOyb5S90jMyocCacyd8szOwtiQhvWsSSyVsiEJGfg42lbqXrUVjRq7vTdi5a8/H9TmBUeqkpCZJ5cBLtXMX2RlKu03sMbTkZl/noPCYn4/HsalyGT2TPejZUPtlKrSNHLnuJkJ9aooL1mfKSgqYVPpquqdmCSVffXrWTPNz5vpfVpqLIdbpV/yU26EkR2bse6QtL7d4gO3+Os5LQ0EXoxGjd3jlFKflZkJno3K/yNXDjtpVk1nFTP6tqSHa32GrjnGw8QM7sYm47FgF39O7sX4zuVfqNEVMjeCiw7ykvWJ+PRclh8LY/XJu/KoAgBE0MWzMbMDfHi9vTMGGnYsR76gX/IXr7aSG7vDIQ80et/ahMaM3Y4bcfIMiPZO5XfKAkQmqdcYW99o72zPnUWvMeHXM+y9FAFPCpiw9hhB4d78OLarXsvamFreGPvEvUSWHQnhwPVoValqZsKbXd35eIA3bRrbae3+0S/ol+xoYwGWZpCbT2ZGDgVFYkyNq7zls1roU6VijRm7jWcV1UFer+BMRrnJi6ueZE+oi7wwo6cDs7ech6ISfjsWysWIZPbO8NNLf1iRWEKGLC+5Fhm7/KJifj0fyeqjYdyLS1bZ16iBDdN8vZjWryV25iZaH0uMbIFIJMK1jEW6vu4NOHkrDiTw87n7zOzbUutjqmlozNhdUCpRM7VPixcc+SyxqYomL9quUFxVfOTrSQ+3Bgxbc4xHSZnciUmi+fydbHu3L290LF8KXVURm6qcl6x/xljTxKTlsPxoGGtO3ZVHDwAgEtHduzGz/X0Y0c5J41L1Rch8piZ1zMuM13ynZwupsQO2XhSMnTpozNily6LGzU2pY/biIp1PI/ugretYYGKov1KvonRykfYbGP/rGQ5cjoS8AsauCeR4QCt+GNtZb/6vKnnJNXhmdyz8EcuOhHL4RgyUqErVt3s0Z25/H52l/8l8pu52Zf/9J3RyZaJIBBIJl4QWoGqhEWMXdPexfGagjl9D9kHXxB+ajbkJ+6f7sfRoIz756yIUlbD+yG0uRCSxZ4Yfrnrwf1ZpdKSHMrsyPCksZv25+6w5FkZEvKqRcGxow3Q/b6b2aYFNFUjVFxEh6/3xHDeOgQGY1bEgPzMXcvOrld9OX9CIsdt8TlH26BWfJhU+P7oWNHmZG+BNT/eGDP/hGInJWYREJeL2xU62v9eH0R10K2ujlWZ27jUkeyIqNYdlR0JZd/ou5OYrdohE9PJpwpwAH4a1cdKLbJ3s/CL5GF/kM+3WrB4nbkp/K39ejqoROdlViUYeDeciFNUd3u3ZvELnpuUVwhNpk5Ga7i/q2qwedxaPYECH0gWcvHzGrA7kw60XKRLrrqqrcgJ6Y1sLnY1DEwSGJdB/5RHcPt4mDdeQGTpzUyYHtCLsuzGc/mQgw9vqh6GD8vf+GNZWEai/83qMNoekEfSrTrGGZnZRSj+WitbcilT+oKtJqlhlsDM34fAsf74NDOE/2y9CsZifDgdz/n4iu6f76UTKyxLQG9haValTXlPkFhbzy5l7rDkWRvRTTZKcHGyZ4efNB71bYF1BX3JVodov+fm/n7e6ufHRpjMAXI9Jfu5xAmVTaWNXUCSW95qwV6NaSZRyQHENn9kp89kAH3o3l8ra5JRsgiMTcZ2/k3/f68vIduVPtdME8dU0xi4iOZulR0L5+cw9yFOSqgYi+rV2ZnaAN4N9mujNDO55RKsEFD//M7AzN5H2mS0s5vFTZaQEXk6ljd0epSonrdRYnIhSmtnVtiYv3V3rE754JGN+PsmxGzGQk8+olYFMG9iGFaM7YaxmQnlFkEggIb36xNhJJHAw9CHLj4RwPFgRyA6AhSlTerVkboA3zatRVV/lfsluLxm3g50ljxIzoaiEnIKil7Yn1SUrV66kfv36uh6GnEobuwO3FUUF+3g4VPh8lQ+6FlbbsLcw4ejs/iw5dJt5/1yCYjFrD97k3P3H7Jnmh7OW07ceZeXJm77oQ++P55GdX8TPpVI17pFq46OmjnbMCPBmSs/mev3jfx7yWo7mpi8NYPZpbCc1dsCeW/F6nYo4cuRIXQ9BhUobuxsxiuX8EWrIL7lz3MpMb30qVcEXA1tJZe3aINJSs7l5/zEu83ay+/2+DGvjpLX7KvuL9NGNEJ6YxbKjoWw4c0++kAWAgQj/Ni7M7u/Nq96NdTdADSCrY1dW5sTTdHNvyNHSxYmg8AS9Nnb6RqWN3V15+z1RpWLsWuiwfaK+0Mu9AfcWjeD1X05y4mYs5Dxh+PLDzBrUlqWjOqpdJ+1FROphoyOJBPYGx7PiaCinbser9h+1NOPD3i352N/rmRzS6kpkWvl9pgN9GvP139LXt+JqdmtPTVNpY1eYW5puo6Z8uCsv2lm9Qx40RV0rU4JmD2DRwWC+3HEZisWs2n+Ds/cS2T29H01sNStrlevY6dp4ZOUXse7UXX44FsbDxAyVfa5N7JkZ4M27PZrXqDaPhSUl5GVJq6uUx43QtamiLHvc0421BV5Ipb41RWKxvEKEg415hc9/UliMOKf0g66F/rrnIRLBgkGt6d28Ia+tDSIjPYdr9xJw+WIXez7sy2A1ArefR4xSXrKrjvKSwx5nsvRICL+dvS9f2ZeNaUC7Zszp70V/T0edjE3bRKXkKvKSy6tujA2hqISU3IKXHysgp1LG7lxUivy1Oit5Uam5iiYveiKh9Im+LRpyb/FIRv18nNPB8Yiz8xiy9BBzBrfj+5EdNBITJ/OZWlRxXrJEAjtvxrHyWChnQx6oSlUrc6b3bsmcAK8amUKoTNQLinY+DzMLM2naWEGRtoZVI6mcsbuvqHTi4WBb4fNV69jV7C+1utS3NuXkxwP5cv8tFu28AiVilu+9zpn7j9n1oW+lMx5kPlO3KiqHn/6kkHUn77I2KIxHSZkq+5o71WVmgA/v9nCr1p3aKoJyY2y3ci4QudhYcDczFyQSErPyaVjn2R60As9SqW9U6EOFg7S1kxoxdipNgatH+XJdIBLB10Pa0Kd5A15bd5zsjFyu3EnAdf5Odn/gy0Bv9SVeVKo0xs5JyzOo2wnpLD0Syu/nI1SlqqEBr7ZvxpwAL/zUCF2q7igHFLuVc2bnUt+Su6X1905HJPF6+6oNQq+uVCo3VvmD6qzkOC3/+cpPNWFm9zL8PByIWDKSHqU+u8LMPF79/gCf7ryGWFLxTMT0J8p5yZr/+4slEv6+Fkv37w7S+j//8PvxMIWhszZn1uB2xC4by4EZfrXS0IFS6JWxIQ51yjdLd2+gKEN1K14o91ReKjWzS1RqJ9eugqXYQSGhMDWigbUwFS8PDazNOPPJq8zbe5P/7roCYgnf777GmXuP2fmhHw425f87KmevaNI3lpZXyA8nwlkbFEZSimovXQ+X+swM8GZSNze9LlNfVcgCih0q0C/ZU8llFJFUfXsVVzWVMnby1SCRCAs1vriyYEqnatQ+UR8QiWDJsLb0bdGQoeuOk5+Zy8Wwh7jO28Geqf3KvXKp6YDimw/TWHo4lC0X78vbAgJgZMCQDq7MCfCmb4uGlb5PTSJeFmNXgZm1TxOFy+hhuu5yZPfs2cP//vc/XJyd2bpt2wuPzcjIYP369Vy8eJGU5GTMzM3p1LEjgwcPpmu3blUy3koZu2zZF9pIPTUcU4FgSoFnCfB0IGrxSEb+dJwLoQ/Iz8xlwHcH+M/wDiwZ1v6lM4UoNfxFTyOWSNh+LYaVR8O4HP5Qpa6PUR0LZvb1YLa/p8bjA2sCYomERDX6JbdpbCt/nZyV//wDtcyRwECio6Jeety1a9d4d/JkEhMTVbbfDg7mt02bmDFjBp999pm2himncktexTJjV/HLFIslpGVUnwR0fcXBxoyznw7k813X+W7vdRBL+GbnVU7fe8zOD31f6B6oTEBxSk4Ba06Es+54GClPBbd6N2vArABvJnZz1ZvS8/rIw4w8eZxqRXymyvmzGU90E2sXHh7OkSNHXnpcSUkJ06ZOlRs6Ozt7OnRoT3p6Otdv3EAiFrN61SratGnDwIEDtTrmyhm70jr+JupI2PRc+flN6wkrsZXBQCTi2xEd6NPSgeE/HacwM49zIQ9w/2IHu6b6lun8f/z4MSEXz8DjWIzqNcG8nJPza3GpLA0M5a/LEc9I1eGd3Pi4vzc93Rpo6H9Ws4mojBvBQARiCenKn4EWkUgkpKam8vjxY44EBrJp0yZyc18uobdt20ZcnLRYSLv27dm7dy+GpQ/AA/v3M2XKFCQSCcuXLdNzY1e6AmirRvqOcoxdbSjaWRUM9HYkevEIXlt3gst3HpKdkYv/dweYP6ITXw1ug0gEgYGBrFq5ips3bwIgM4NduvzNx3M/Zty4cc/0+iwWS9h2NZpVR8K4dj9BRapa2Foyra8HH/l5SvubCpQblfJmFXUjGBiAuITCohINj6psoqKi6NWzZ4XPu3Txovz10qVL5YYOYNDgwbRv355r164RHh5OSUmJyn5NU0ljJ/3HQg1jpxx2IgQUaw5HGwsufPYqn+y4xvL9N6BEzKJ/LnHqbgJdUs/x56aNZZ73+PFjPpn7CTt37uTXX3/F1taWpOx8Vpeuqmak56gc39qtIbMCvJnQpZkgVdVEtV9yBWd2RiIoBsRVY+zUJSYmBgAbGxs8PT2f2e/p5cW1a9coKSkhNjYWV1ftVXFR29ilP1EEhpqrIWOjU5WLdgp5sZrEQCRi2aiO9PNoxLAfTyLOzuPMvr+4f+/oS8+9cP4CI0aPpd7I/+Ofy5GgPHMwNmRkJzc+HuBDt2YVj6sUUCU2RZGXXGG/tYEhUAwlVdPpoVmzZoSEhqpsG/Haa9y7d++F58mkrn3dskPTjJX8/Tk5OWUeoynUNnaZSsZOHZ9djMxfYWSAs50gY7XBYJ8mxC55jaHf7eJR0Ilynxd++xaPjPZDPWmzcxs7K6b282CWr5eQmqRBZDF2tjaWFa9KbVDqZFUjmFwdDAwMsLe3V9lmavby78Lbb7/N48REGjYo248rm/mJRCJcnLWbCaK2scstUDzx1amzJmvyUt/Wslo2eakuNLG1ZGKjNL4TV8yRbZNwk2bdevNRf2/GdXKtkhLxtQ1ZUH1TNaIRjAxEFIP+tfB6ircmTnzuvpiYGC5cuABA48aNsbG11epY1DZ2hcUKY2doWPE4O1lAsbNQtFPrBN+6VeFznEnlxvyhWhiNgIzYSvRLNhKVGjt9t3bPIS8vj7fefJP8fGmc4Ljx47V+T430jVVnYvYwQxZQLEhYbZOZlfnyg57iiZb9J7WdlJwCeZ6wOsauOi8JFRUWMumdd4iIiACgbdu2fPjhh1q/r9ozOwMlM1nRJPTErHx5jJY+N3mpKVjWsa3wObZalhS1nUg16tgpU1RNZ3QFBQW8OWECZ8+eBcDV1ZVt27Zhamqq9XurbeyU642VFFfsDx+hh30PaiJnI5NYGhjKgTgDKtrQrk3bNloZk4AU5VQ9VzWqdJcmXqgnq3TEkydPGDd2LJcuXQLA0dGRf/75R+u+OhlqGztbM0XKSkFxxWJ9IpOV69gJPjtNUlBUwuaLUaw6GkpYTJJ0YwMfJOGBiErKX9n27bff1s4ABYCninaq0S9ZLC61dtXE1mVnZzNmzBhu3rgBgLu7O3//8w+NGjWqsjGobezsrdQ3dqp17IRUMU3wICOX5UfvsOZUOMVZitJbiKBzKze8Hd/m8Jb15bpWduN2LL6Wz7YOhS/tYyqgHvJ+ySI1AopBnmpZHWZ2eXl5vD5qFMHBwYA0bWzr1q3Y2Ni85EzNoraxM1Zy2uUVViysIUY2hReJytUrU+D5nLyXyLIjIey/Hq2kbQAzEyZ0dWPuAB/aNLZDInmVVY3tWLZ8GSUveDgVNW5FjucQAq9F4Tkvhd3T/ekqBBBrHHlAsZW5et3SZDO7apC9Mm3qVLmh69evHxt/+61KfHRPU7nV2NKnSm5hxWZ2svgikzrmQgFHNcgvKmbd6Xt4zN9Fv8V72H85Um7oGtavw9dvdCV15Tj+mNRL3stXJBLx0eyPOHLkCK07d0dZ/xgYGNC7d29+/+N3Lh76Fx83acZsYnIW3RbvYenR0GfGIFA54krL4bdUt5aj3NhpJKBCa1y/fp3AwEAA2nfowKbNm3Vi6KCyubEGIiiRkFnBmZ3M2DUXinZWiLi0XJYdC2P1qXDIfqLYIYJuXk2YHeDDyHZOLwzS9vT0ZOQn3xC4LhByk/hhXGfeHNibOnUU7oRr8wczfdtl1h+9DUUlfPLHOU6EP2bru72wEWStRribVsnQq9I0MRs976F76OBBAEQGBmzYsAFjY/X6S2uCyv2ljAykvoPiihm7iFT1gylrI0Hhj1h2JJRDN2IUvhoAMxMm9nBnboAPPo625b5edEo2GJmATRMG+velTh3Vz8HE0JBfJnTD18ORsRtOQl4BB69E4hmbwp4Z/nRyqXgJfgEFuYXFkCN9WLmo4a8Ti5GnidUx053xKA/nSzMkDA0MOFI6w3sePbp3x615c62NpXLGzthYGi+n7Ct6CVn5RZAnjZoWYuyez5PCYjacj2T10RAinmqq4tDAhun+Xkzr01KtmZYsJxPDF+clv9HRhY4uIxi6Jog7MUk8Ssqk89e7WT6uG7P9vCp8XwEpUSnZin7JajzwY5Qq0Nhb6kYSlpek0qKdxcXFL61G/N///ld/jV0jc2Me5zxRnW28hAiVOnZC2MnTRKfmsOxoGGtPh0OOUsltkYiePlKp+lobp0otwsmMnb2t5Uvzmt3rW3Nj/hCmbrvExqAQKCphzuaznAh/zJ+Te+n9zEIfiUxSKu2kRkBxcLyihWlDHdYQNCxdpDR+QaXy8hT4lGFsol0XSaWMXX1rcx4nS7sbRaXm4FqOp1SkUtiJEFCs4MidBJYdCeHIjVgQKwVpm5syqUdz5vb3wbORZsJ05Ano5fSZmhob8utb3fH1aMSEX8/AkwL2XYrAKyaFPTP86OAsyNqKoNwvuZkaD/yQhAz5a2cd+r0PHjr00mPC7typgpGUj0oZuyb2VtyOkk5TL0cnl8vYxWigyUtNIbewmPVn77PmWChRD9JU9jVpZMt0P28+7NNC47MndTpaAYzv7EpHl3oM+yGIu7HJPEzMoOPXe1g1vhsz+z1bmFGgbJR7f7irEVR/51GG/LWnoxCnWl4qZexaNLJBZtuvxabxRsdmLz1HuTqrOh90TSAiOZtlR0P56fQ9uf8SAAMRfVs5MdvfhyGtm2glXjQpW5GXrM4CUcuGdbi1YCjvb73A5qAwKCxm1m9nOBn+mN8n9cTKVJC1L0PeGNvMhHpWFfe5RSUresV2cqloImDtpVLGrr3SqlyY0tT6Rcg/aAvTWhfGcDD0IcuPhBB0K+4ZqfperxZ8HOBNy4bafVJrwo1gamzIpok96efhwNu/noH8QnZduI9XTDJ7pvvTzsn+5RepxcjcCC726oWdPEhT+ME6uwgB3+WlUsbOr6Wia1VkYvk6k8s+aDc1P+jqRk5BET+fvs+aoFBiE9JV9rk42jHDz5v3ezevshmR8qxAnQR0ZSZ2caOzS32GrTnK/fhU4h9l0P7r3ax9sydTe7eo7FBrLLJUMXVDrx5klcZYGhpgaqzfQcX6RKWMXWNbc2kWhURCdGb5Vl0iZB+0BjrQ6zN3E7NYdjSU9WfugXJvTwMRfm2cmR3gwyCfxlU+rijlvGQN9P7wbFSH4IXDePf3C2w5dQcKipm24SQn7iSw6Z2e6qVC1WCKxBIyMivZL7m0Dh61TBlVlsp/E02NIb+QwryXN+stKCohvzRJvSYW7ZRIYF/wA1YcC+Hk7XhVqWphxge9pVJVl75KuXNchMbyks2Mjfhzci98PR2YvOks5Bfy77l7XIlOZt9Mf1o52mnkPjWB2NQc+fdCnYDixKx8+fmutkLryopQaWPX0NqMxPxCKCqhSFyCscHzc12j03Llkd81KcYuK7+IH0/d44egUB48zlDZ59rEnhn+3rzXs7lezHJiS8MeDKwsMNfweCZ1d6dLs/oMXXOUqAdpxCak0/rLXfz8Vi+m9NJesGh1QrmOXTM1ZnZ7gx/IX3s5Cr7RilDpb3vzhjYklvqBDoc9YohPk+ceq1zHTp3qrPrGncdZLD0SwsZz95+Rqv3buTAnwIcBXo66G2AZxKdKZ9YttZSq5+1gQ8jC4UzafJ6/zoRDQTHvrz/B8fAEfpvYQ+MGtroRqVTHTp1ajsfDE+Svu7uX3bFLoGwq/c3r5FqfsyHxABwKfvhCY6fiL6qmPjuJBHbdimfl0RDOhDxQbWVnZca03h58HOCl1lO7KriXJn3gaDMv2dzEiG3v9cbX04Epv5+D/EK2n7nLlehk9s4IwNuhauuY6RPRSjM7dzUe+DdiFKmDr7dvqokh1Roqbexea+vCir3XAbgUmfTCY6OVZnbVrWhn5pNC1p66yw/HwniUpNrAxt2pLjMDfHi3u5tez1yy84vkKWhVkZf8Xs/mdHWtx9DVx4hJSCfqQRo+X+5iw8SeTO7hrvX76yPy0CsjAxqr4XO7m1K6mm5ggLvQXL5CVPqX2cu9gXxF9vpT/qqnkSegmxjRqJo0Ww5JyGDp0RA2n4tQrIIBGBowsF1T5vT3xt/D4fkX0CMiU5Xzkqtm5tnK0Y6Qr1/jnU3n+OfsXcgv5N2fj3M8PIFf3+qu0sukNiDrl9zA1qrC/ZLFYuTuEhOr6vH70Sc0802zMIXcfNXE9TKQxdg52lnqdTVpsUTCjhvxrDwWwvnQh6pS1dqcmX08+NjfC+dqFiuonIDerArdCJYmRvw9pQ8/ejgw9Y+zUFDM1lPhXI6SylpN5fxWB+IrEWN3IOyBvFpK28b6v8K9YMECmjZtyqRJk3Q9FEBDfWPbykILJBKC7j567nFxlQym1DZpeYUsOhiM49ztjF55mPNKPrmWLvVZ+25fnqwcy6rRnaqdoQPVnExd5CV/2LsFNxYOx9lB+n2JiE/Fa8FONl2MrPKx6AKJBBJKZ3bqxNhtuxglfx3gVfUxmhXlt99+Y8/u3boehhyNzOz8vRy5eV9q5Dafi1DJrJAhlkhIylD/g9Ymtx6mszQwhD8vRqpKVSMDBrdvxpz+PvRr0VB3A9QQynnJbjqK9Wvb2J7Qr4fz1saz7LpwH/ILeWddECfCH/Hz+K41WtY+ysqDImkLA3V8pufuJ8pfvyuE8lQYjXyzPuzrwdI91wA4EV72zO5Bep68yGdV+YtehFgi4e9rcaw8FsKlOw9R7jlsVMeCGX08mBPgSRPb6jeDex7yJi/mpthb6C763srUmJ0f9mONpyMz/zwHhcX8fjyMixHJ7J3hp/X8YF2hHHaijhshTrY4YWxY7vJcAgo0Yuxc61qBiREUFvMgpewc2QjlD7q+7r7MqTkFrDkZztqgMFKUHPYAXk0bMCvAm4ldXWtkIyCZG6GZnkjwGX1b0sO1PkPXHONhYgb34pLxWLCL3yf34s3OrroensaJrERz+LtJWfJZYdP61SN0R9/c8hrTDC0a2XAvLhWKxZyLSqKHq2rAo0rkeL2q/7Fdj0tj6ZEQtl2KkJc4AsDIgGEd3Zg7wJuebjU7SDNaD32m7Z3tubPoNSb8eoa9lyLgSQFvrT3GiXBvfhzbtUY9dFR9phWb2a09cVf+up9X9Vj91zc0ZuyGtmvK0jhpwOPKo3fo8b6q4YhR9hdV0UpgsVjC9qvRrDwaxtV7CSpS1czGkul9PZjt74mjDktbVxWFJSVky/KS9UwCWZsZs2eaLys9HZi95TwUlfDbsVC5rK0pdQ9jZErCQIRrBR/4h4Lj5K8/7OOhyWHVGjRm7OYG+Mj9dkfDHj6zPyZZ8UFre4EiObuA1SfusPZ4GOlpOSr7Wrk2ZFaAN292bYZJNWgwrCliU/PkCeRN9dR4fOTrSU+3Bgxdc4xHSZnciUmi+fydbH23N2PLURhW35EFFFvUsajwdy9CFsNqZEgnoYadWmjM2DWsYwaWZpCbT2ZGDnlFJVgoSRBZMKVdOZq8qMuV2FSWBobw9+VIUO5la2zIiE5ufNzfm+6utbOya0Ry5RLQq4qOLnUJXzyCcRtOc+ByJOQVMG7NUY4HtGLt2M7V+gGlqOVYsb//uagkub/OrZGtpodVa9DoOn9/D0eOXIsCCXwfGMqXg1vL98WlaCfspEgsYeuVKFYeCeXm/ccq+6xtLZnm68lHvl5SY1yLUfaZaqKOnTapY2bM/ul+LDvqwNy/LkBRCRuO3ObC/UT2TPfTWdhMZYmS9Uuu4OLE/w6HyF+PqgEzXF2h0TKnn73SSv5687l7Kvvi0mUFCzXzRU3Myufz3depP3sbb68NUjF0bd0b8dtUP1JXjuOb4e1rvaGDp/OS9Xdmp8zHAV5cmDeMhqWr96HRSbjP38Xf12J1PLKKk/6kUJ7qVdEFor2hCrfQJwN8NDoubSNRzj7SMRqd2fVr2UgeghL9KF1e3y45u0AerFvZop0XolNYFhjCjiuR8qk9AMaGvN7FnY/7e9OlqeDTeBp5XrKxYbVakOnarB53Fo9g3PrTHL4aBXn5jFkdyIkBrVn9RheMteQS0TRRaroRHmbkQba0DLuZjSV19bwptj6j8XD1ru6NuBj2AMQSlh0N57MB3pWKLwKpVP3jYiSrjoYSHJmoss/Wzoppfl7M7OdBA2thBvc84kqbtDSys9LrvOSysDM34dBMf74NDOE/2y9CsZifDgdz/n4iu6f76bUPUoa6AcWf774ufz2irbNGx1Tb0LixWzCkLa+GSaup/ng8jM8GeKv4i1wr8EEnZOaxMugOa0+Gk5eh1ONCBO2bO/BRf2/GdmymtQWPmoS+5yWXh88G+NC7eUOG/3CM5JRsgiMTcZ2/k3/f68vIdvptCKLU7Je89WqM/PWS19prcki1Do0bu4HejcHUCAqKiXucQU5BEVHJFQumPBeVzNLAEHZfiZSnmAFgasQbnd2ZO8Bb6EJfASQSeJyun3nJFaW7a33CF4/kjV9OcvR6DOTkM2plINMGtmHF6E56K2vVCSi+m5RFcWlspEkdCyFFrJJoJet6gI8zgdeiQCLh0x3XKSwpNVii5zvHC0tK2HwhilVHQwmNVi0CWq+uNVN9vZjRz0OtpsK1nYeZuYoE9Gpu7ADsLUw48lF/lhy6zbx/LkGxmLUHb3Lu/mP2TPPTy4o0cp+phRl1zMrXNnPO9ivy1xO71s5ip5pEK8Zu2ejOUmMH/HzuPr6yWvlW5s9U8n2QkcuKY3f44VQ4hZl5ih0i6OThyOwAb8Z0aFrhQocCCiKU6tg1rSYrseXhi4Gt6NOiIcN+CCItNZub9x/jMm8nu9/vy7A2TroengqyOnbuFVigOxhcuuosgu9GdtDGsGoVWjF23g42WNhakpeRizg7j/BHGQB4KE3DT0cksTQwhH3Xop6RquO7NmfuK960bSx0T9IE0UoSqiI+0+pAT7cG3Fs0gtG/nOT4zVjIecLw5YeZOagty0Z11Bt/7v20ivlMN12MlOdwN3Wwx07oEVtptFY8bKavN9/uvAzAg9LuY03qWvDj6XusPhpKeGyyyvEN6tVhmp8X0/t56LT8UE1EuY5dTckzVaaulSnHZg9g0cFgvtxxGYrFrN5/g7P3HrNnuq/Oy3TlFxVTmCUNHylvHbsvdylWYRcMbaeVcdU2NBpUrMzXQ9uAYenlS312x0IeMnXDSYWhE0FXr8ZsnzWAR8vGsGBQa8HQaQHlvOSaJGOVEYlgwaDWnPhsCLZ20v/j9XuPcPliF/tDHrzkbO0SlVqxfskxaTnEPUqXvjEz4Z3ugr9OE2jN2BkbGNDT86nS0bJ8VTMT3vL1Ivib17nw2SBGd3ARfHJaJLa0faKNjaXerlZqir4tGnJv8Uj6tJaGooiz8xiy9BBz/rmKWEfR/BXtl/zu5vPy12M7u2llTLURrRk7gF/e6vnMNmcHW+4vHsnmt3vSylH/m4bUBOR5yXq4SqkN6lubcuLjV1jwehepuhBLWLHvOl2/PSDNSKhiKhJnWlBUQpCsnJNIxNrxXbU5NO2iZxMYrRo7z0Z1aNzQVmVb3KMMOi3Zx4l7iWWfJKBxYtJL69jVgLCT8iISwVdD2hD02RBsSmXtlTsJNJ23k4Ohz5Yg0ybKMXbuLzF2M7Zflrt9OjR3EBYmNIhWjR3A8jeUnkxG0vI8Gek5+H6zjy/33UKP8oRrJGl5igR0lxq2ElsefFs25N7iEfRsJQ1FKc7KY9D3B/l057Uqk7XyxtimRi8tSrH+1B35602TemlzWLUOrRu70R1cwNpc+qa4hGFd3aWP3RIxX/9ziX7LDksLBQhohchqUsdOmzSwNuP03IF8PrIzGIhALOH73dfo8d1BHmW+uNexJpAFFDexe/Hf/4s91+XhJs0a2+PjaKvtodUqtG7sAP43TBEQeTk6mb1zB8oN4KngOFrM2yHIWi2hkoBeA8NOyotIBEuGteXI/w3GojQU5WLYQ1zn7eDInQSt3luel/ySlfD/HgiWv944uY9Wx1QbqRJj90l/bzCT+h4eJWZiZWJM3OIRtG8hbRwik7UL9wuyVtNEKXV7c61fOxYoXkSApwMRi0bSzbsJAPmZuQz47gCf776ule+eWCIhJbO0aOcLZnbz9tyUl0Fr3NCWvu41u/mTLqgSYwfwxaC28tdv/XoKJztLLn0+mFmD28ll7Vd/C7JW08SWVsdF9HLneG3BwcaMs58O5P+Gd5DL2m92XqXX9wdJzNKsrI1Lz1X0S35O2IlYDEv2K4KIN78rzOq0QZUZu8XD2slndw8eZxAYloCRgYiVozuxZ86zsvakIGs1gtw5bmmGlWn5EtBrAwYiEd+O6MDBTwZhUlrM9FzIA5rP20HQcxq9q0NkkrLPtOyHzfS/Lsl9dc4Odvi1bKSx++safapUXGXGDlTTXt7ccFr+emibJs/I2n7f7OOrA8GCrK0kMn9RC3thVlcWA70diV48gs6lAfDZGbn4f3eA+XtvauS7F6Wcl1zGzC6vqIQfj92Wv9/+oW/lbypQJlVq7L4a3BbMpSWaklOy2HI5Sr5PJmtnKsnahdsv4rv8MCk5gqxVl7vyop2Cv+55ONpYcOGzV/l4aHuprC0Rs/jfy/RddqjSLpVolaKdzz5wXv/ppFzmtnJtSFehpYDWqFJjB7ByTGf56wmbzqnsMzIQseopWXvyliBr1eVJYTHinNoXUKwOBiIRS0d1ZP/cVzGwlsra08HxlY4UkAcUGxrgZKf6wIlKzeHg1dIHvkjE3pn+at9H4OVUubGb5euFpU3ph57zhC/333rmGLmsbS6VtelpOfT7VpC1FUWagC59XVMLAGiaQT6NiV3yGh1aOAKKSAF1v3uyfsn2ZfRLHrA8UF4gYHAnN6ESsZapcmMHsO39vvLXX+++hlj87DFOdpZc+kJJ1hYLsraiKDvHXQVjV26a2Fpy8fNBKpEC6n73ZEU7nzZkf12NJiI+VfrG2JB/3++nkbELPB+dGLshPk1oJivMWVjMm7+dKfM4mazdPecVQdaqQVSqkrEr7b0qUD7KihQ4eSuOlvN3ciYi6SVnK4hPezagWCyGsesVC3SLR3XB1FgnP8Vahc7+wrum+0HprH7rmXASMp9fjWJYG6cyZe3Xgqx9IdEVSEAXKJunXSppqdn0/u9eFh+8/dLvXlJ2vjykRLn3x7hfT8nzle3rWvPFwFZlni+gWXRm7No0tqd3q9L2d2IJAcuOvPB4maydMaitXNZ+uf0ifisCBVn7HOQxdmYm1LcWGhWpi+y7N/3VtvLv3vy/LhCwMlBaaOE5RJRRxy4kIYPtZ+9JN4rgyOwB2hy6gBI6nTvvm+4PRtIhhMUk8fulqBceb2QgYvWYzlJZayWVFiduxtJi3g5OV0Ba1BZiS2Wsk52FjkdS/TEyELHmjc7smP0KWEkrlwTdiKXlFzs4F5Vc5jkqzeFL4xz7fH9IvigxpLO70BK0CtGpsatjZsxXI7vI30/ccJKC0pZ/L2JYGydin5K1ff67V5C1TxGXVpqTKYSdaIwRbZ2IXjyCNm7SLIeU1Gx6Lt7DN4dDnjlWpVdsA2tm/3OFNJkf1cyE3R/6VcmYdYV+le7UsbEDad+ARjLneUExfisCy3Wes70ga19EsVhCWobU2NWEXrH6RFN7K67MH8KHA9tIf9HFYj7fep5XVh0j/YlC1sqNnQiQwMoDN+X7dk31w0Dnv77ahV78uc/832Bp5DrS/MSXyVkZMlm7a7aqrG05f2etl7Vx6bnyirdN6wkrsZrG2EDEurFd+HvWK2AplbWB16Lw+GInF6JTAIUbwcjagt7fHwSxVHb0auXE8LbOuhl4LUYvjJ17A2vmDmkvfz/xlxOkVmB2NrytVNa2bS6VFmmp2fT5714WHay9slYlAV2IsdMar7d3JnLxCHxcGwKQlJJF98V7+P5IqLz3B6AiX49+9Iouhlrr0QtjB/D9yI44O5Q24Ckqod2iPRU639nekitfDFFZMVvw10X8VwRWyHDWFJQT0JsJebFaxbWuFdfmD2bKgNZSyVpUwqd/nuN+grQdYnGWIqxq78wAIaZOR+jVX/3qgmHyPhXxjzKYuOlshc6XrZgpy9rjN2NpUcFA0JpAjFJAsVsDIcZO25gYGvLz+K5smzFAXspM5kaQMbRrc4b4NNHB6ARAz4xdfUtTtk1VJEP/fjyMv65GV/g6Zcna3rVM1sbIyrEbGeBsJ8zstE1BUQk/nr7HV3uuyysOK2NUx4I9U4XyTbpEr4wdwBsdmzKuj6f8/di1QUQo+Z/KS22XtbIE9Pq2lkIDci0Sl5bLR39fweKjbUzdcJLw2DJi7gxE3PxiaNUPTg/Qp7mF3hk7gC2TeytyZ0vENP9yV7ni756mrEDQ2iJrZc5xZ6Fop1Y4fjeRQWuCcPl4G6v230CcXeqXMzOhf/umKg2i/zeuB94ONroZqIAcvTR2AMELh8sLfZKbj8f8XWpfa0RbJ2IXj6Stu6qsLU9+Y3XlYYZQtFPT5BcV88PJu7Sctwu/JXs4eCVS7pdzaGDD4rHdCF80giMhD+RZEn3bOEsbTgnoHL01dlamxoQsfA0MpUOMSUjDd3n5Ao7LwtneksvzhjCtjPzGmiZrE7OUEtCFsJNKE52aw4y/LmM+axszNp7iXlypVBWJ6OHThH9nv8LD78fwnwGtaL9kHxRK//Z29lac+HigDkcuoIzeGjsAbwcb/p4xQJ53cuJmLJN/v6D29YwNRPxQRn5jTZO1ESlCjJ0mOHrnEa+sOobr3L/44eBNyHki3WFmwjv+3oR+N5qzn77KyHbOiETQ6qvd5JVmrWBixN0lo3Q2doFn0WtjB9KgzUVjusnfbzx2u8zqxhVBlt9YU2VtZLJyHTvBZ1cRnhQWs/rEHdw//5f+3+wj8FqUXKo2bmjLN+O7k7l6PBvf6oFXI4Uf7tXVQYRFlz4wDUSc/3wY9S2FSjP6hJGuB1Ae5r3amuiUHDaWdmH6+u9L1LUyY2bflmpfs6m9FZfnDWH231dYe+iWXNaevJvA9vf6Uteq+n5RlevYuQmpYuUiMjmbZcfC+PH0XchV6h0rEtG7VRPmBPgwtLUTZS1sT/nzAoeuRsrfb5ziSzdXoXGOvlEtjB3Ar29151FGnvxLNeu3U1ibGPJOd3e1rymTtb4eDoz85QTk5BN0IxaP+TvZNd2Pnm7Vsyt7jEzGikS4CgsUL+RQaALLj4Rw7FasPHcVAHNTJvdswdz+3ng0fP4D44s911l/RNEKcf7rXSr1nRTQHtXG2AEcnOlP12/zuRT2ECQw6ecTmBgZML6za6WuK5O1w9cc51bkY1JSs+m1ZC+LX+9SLavIynrFmtQxx9TYUMej0T9yCopYf/Y+q4+GElOa0iXDycGWmf7evN+rBdZmL24q/s3h2/x3x1X5+3f8vfl6SFttDFlAA1QrYwdw8bPBtF64m9tRiSCRMGFtEEClDZ6sbM9H2y+z7nAwFIuZt+0CJ8Mf8dd7faqVrJUZu+ZCtyoV7idls+xoKD+fuQt5SivwBiL6tXZmTn9vBnk3KVOqPs3yoDA+36pYLBvatTkb3+qphVELaIpqZ+xAGoPnNX8Xd2KT5AavsFhcaflgbCBi7dgu+Ho4MGr9ScjJ59iNGDzmp1YrWRuRKhTtlCGRwIHQByw/EsqJ4DhVqWphypReLZkb4E3zCuQPLz0Syid/Knoe+7ZzEVLBykCkZ5k7er8a+zzCFr2GV9NS4yORMOnn46w+eVcj1x7ZzvmZarS9luxlyaHbLzlT92TlF0Ge1MFem2PssvOLWHo0lKaf/cOQ/x3kxE2FT66pox3LJ/Yke9U4fh7ftUKGbvHB2yqGrlcrJ4JmCyWbqgPVcmYnI/Tr12jz1R6CIx+DBGZtPEV6TgFfDm5d6Wu/SNZuf78v9hYmGvgfaB7lPOLaWKE4PDGLZUdD2XDmnryDFwAGIvzbuDCnvw8DvR3Vuvbcf6+ybO91+fverZ05NVcIGq4uVGtjB3Dry2F0+/YAF8MeALDw74s8zsrjx3FdK31tFVn7y0nIlcrall/sYPcMf3q41q/0PTSNch0711rSPlEigb3B8aw4Gsqp2/GoBEtamvFh75Z87O+FWyViDt/ZfI5NQaHy9/07uBI4K6AywxaoYqqtjFXmwmeDGNjRTf7+p8PBDFoTpLHrj2znTNTiEbR2k1ajlTVZ+e9h/ZO10UrZE271a/bMLiu/iG8DQ3D69G+GLzvEqeA4uaFza2LPynd6kbNqHOvGdqmUoRuw6oiKoRvZvYVg6Koh1X5mJ+PgTH/e2Wwm/1IevBJJq4U53FowTCONTZrVteLq/KHM2n6ZH0tl7RdbS1drp+iPrI1OVWqMXUOzJ8IeZ7L0SAi/nb2vWjvOQMSAds34uL83AZ4Olb6PWAytFu4mLEaRSjhlQGt+Ht/tBWcJ6Cs1xtgB/DaxJ072Viz65xIAIVGJ1JuzlchvRmFnXnljJGuy4tvSgdfXn4TcfI5ej8Fj3g52TdcPWStvjG1hio0G/s/6gkQCu27Fs+JoCGeVqooAYGXO9N4tmRPgRTMN+SnTnxTi+p9/yUhTdAj7anQ3FgyqvD9YQDeIJJKakA2qym/nI5j0y3FFmIGZCTe/HEabxnYau0d0ag7DfwgiODJRusHIgCWju/D5K7oNQm61cA8hUYm4NbEn4r/VPxE980khP5y8y9qgMB4lZarsa+5Ul5kBPkzu7oa5ieae2yEJGbRauFsxazQQ8dsHvrzdVciMqAhNXVzw9vHhwIEDuh4KUEONHcCZiCR6f7MXZEU/DQ3480PfSgcfK1MklpTK2lvykqwB7ZvqVNZaztxCXkYufds4c+Lj6hsSEZKQwfdHQvj9fISqVDU0YGC7pnzc3xs/j8pL1afZeiWa8euCFP0jjA05/Z+h9HKvHjGW+oRg7KqQ+PRcnL/YoSjNA0wd2Ia1Y7to9D7/Xo+Ty1qA+vWsdSJrC4pKMHt3I0gkTPTzYtPE6hXRL5ZI2HFDKlUvhD1Qreltbc6sPh7M8ffC2V47+b7vb7nIL4HBig1W5sQtGYmT0MNDLfTN2NWI1djn4WRnSf6qCbRwrivftu7QLTos2keRuOJl3p/HqPaqq7XJKdLV2m8Oh2jsHuUhOi1X7stqWrf6LE6k5RWy6GAwjnO3M3rlYS6EKgydh0t91r3blycrx7JydCetGLqcgiI85u1SMXTuTnXJXzVBMHQ1iBpt7ABMjQ24u3gUr/dUlIO6fv8RJlO3cC0uTWP3ka3WfvBKae/QYjGfbz3PgFVHSMt7ttuUNlCuY9esGoSd3HyYxoRfz1B31p8s+OsiiclZ0h1GBgzu7MaJecO4s+g1PuzdAjNj7aylBYYlYD3jD+7GKRrlvN6zJfeXjBL6u9YwatRq7Iv4e0pfVrk34KPfz0oXLvLy6Th/B7OHtGP5qI4auYexgYgfx3XF18OR0aWy9si1GDxid7B7uj/dtSxro1Tq2OnnzE4skfD3tThWHA3hcvhDFalqVMeCGX08mBPgSRNb7c+o3lh/iu1nlFIMDQ3Y8G4/JvcQFiJqIjXaZ1cWIQkZtFq8V8WP16SRLRc/H0xjWwuN3Sc6NYdha4Kk1VkAjAz4ZkxXPhvgo7F7PM2cf66yYp80nenhmgk42mju/1NZUnMKWHMynLVBYaSkqrbG9G7WgFkB3rzVxbVKSlJdiU2h+/eHKc7Kk2+zs7fi+oJhNBUqxWgMffPZ1TpjB9Jg0YBVhzl+I1ax0UDE5691YMmw9hq7T5FYwoxtl/j5SLB8BtO/g3S1VhNxf08z6qeT7Dh/D0yMEK+fVK5SRdrmelwaS4+EsO1ShLwJEABGBgzr6MbcAd5VWk1m9C+n+OfcXcWMUgRje3my9d3eVTaG2oJg7PSILZejmPDLCXk3KID69epwfO4r+Djaauw+/1yPY/QvJ+XVSBrUq8Ou6X4al7Wdluzn6t0EHBva8PD7MRq9dkUoFkvYfjWaFUfCuHY/QUWqmtlYMr2vB7P9Pat05rkn+AHD1wWp1rGzNOPExwPpK4SVaAXB2OkZOQVF9P3+MNfuJSg2ikQM6+LGPx/0wdhAM7IqKjWH4VqWtQ3n/EVSShZdvRpz4bNBGrtueUnOLmD1iTusPR5GelqOyr7Wbg2ZFeDNhC7NMDGsuurJiVn59F8RqAj+BhDB8K7N2fG+r0ZSCQXKRjB2espfV2MY+8sJ1QBWUyNWju3GLF9PjdyjLFk7oIMr26b0rrSsFUskGE7+FYrFjOnVkr/e66OBEZePK7GpLA0M4e/LkSqzZIwNGdHJjbkDfOjWrOob0Ez6/Ry/HQ9TKdhpY2fF4dkD6NpUaIijaeLj40lNTZW/HzZ0KG5ubqxcuVK+zcnZGTs7zWUyVQTB2ClRJBbz+k8n2XMpQiX3sl5da3ZO89NYFP3f12IZs/6UiqzdPcO/UgYhLi0Xl4+2APDJ8A78b0QHjYz1eRSJJWy9EsXqI2Fcv/9IZZ+1rSXTfD35yNeLhnXMtDqOsvjh5F1mbL3wTObFZ8M68s3wdlU+ntrCP3//zaxZs567X2RgwOmTJ3Fr3rwKR6V0f8HYPUvoo0wGrgwk/pFqMxYf14bsm+mnkRW7qNLV2hCZrDU25NvRXfm/Ad5qXe/EvUR8F+8BYN27ffmwd4tKj7EsErPyWXU8jHUnwslMV5Wqbd0bMau/N+M7u2JsUPWrI4dCHzL2l1PPjKu7dxP2zwzQyqKQgIKiwkLatm1HenrZ8atdunRh1+7dVTsoJQRj9wJ+Ox/BpM1nVSveikT0be3Ev+/3q3QTnsKSEmb8dYVfNCBrfz0Xwbs/Hwcg8D+D6e+pXjXe53ExOoWlgSHsuBKpyDcGMDbk9S7ufNzfmy46koYXY1J446cTxD7VKaxRAxt2TfcXJGsV8vl//sOmTZvK3Ld6zRpGjdJdcQrB2JWDmdsvsyZQ2khbjoGI/u1c2Dq58p3HNCFr5+29yZJ/LwMQsWxspYpVyigSS/jzYhSrjoZyK/Kxyj5bOyum+Xkxs58HDayrXqoC3E3K4rU1QdyJTVbdYWnGbxN7CFVKdEBoaCgB/v7PbLe2tuZ2SAgmJrqbXQvGrpzkFYkZu/4key9HqHaoEono4unIn5N6416Bxi1PU1lZO+HXM2w5dQcMRBRufLdSMvJRZj4rgkJZezKcvIxcxQ4RtG/uwEf9vRnbsRlGOpCqIHUzjPvlJMFRiarFAkyNWDCsA18NbquTcQlI6d2rFxERESrbRo4axZo1a3Q0IimCsasgybkFjP7pOCeDn+p1ADg72PH96M6M7uCi1rXLkrWvdHRl63svl7W9vj/E2dvx2NpZkb5qnFr3PxeVzNLAEHZfjVKVqqZGjOnsxicDfOigVFShqvnnehwfb79I/KMM1R3Ghnzo58MPb3QVQkn0gO+//54Vy5erbPvzzz/x9fPT0YikCMZOTRKz8nnrtzMcuREjTclQxtyUt7u7s2pMZ+q8pKt8WWy/FssbSrK2Yf067Jr+Ylnb9LN/iE1Ip617I24sGFruexWWlPD7xWhWHQ1VzCpLsa9rzXRfL2b086CejpqEpz8pZNa2S/xxKUrVdwpgZMCEHh5sfKcHxoKV0xsi79+nV29FRoqNjQ0hoaEYVmF8ZVkIxq6S5BWJmbb1PJvO3lVNhwIQiXBtbMfng9pWOLk8Mjmb4WuPq8ja/43pyif9y5a1oimbIL+QoV3c2TPt5Q2bH2bkseJYGGtOhVOYqcgRRQSdPByZHeDN6+2b6kSqisXw3ZHbrDt+hweJGapSFcDUiHd7e/HDG12EyiR6So8ePYiOigJgyJAh/PzLLzoekWDsNMq6U3dZtPc6j2WlipQxNqRHSwcWj+hY7vSkwpISpm+7zPqjt18oa1NyCqg/dTMAMwa1ZfWYzs+95umIJJYGhrDvWpTqgoupEeO6ujO3vw/tnOzLNT5NIhbD8mOh/HwqnIiHaap+0VIa1q/D50PaM7NvyzKuIKBPzPviCzZu3AjofhVWhmDstEBEUjYz/7rEoeBY1YwCGWYmDPBuwqLhbenk8vIV17Jk7e7p/nQtlbUXo1Po9uVOAJZP7MlsPy+V8wuKSthUuqp6R6lTFkhXfqf6SaVqVZeST80pYMnh2/xzOYoHSZllGjjMTBja1oUVYzrjWgubfldXjgcFMWHCBAwNDbkdEoKtra2uhyQYO23z+6Uovtl/k/D4lLJ/zKZGtHGqx/iubkzr54HFc0ocRSZnM+yHIEKjS42VkqzdeiWa8WuOArBrzkCGt3UCpGXplx8LY/XJu4izVaVqV8/GzA7wYVR7ZwyqsDzKodCHrDp2h8C7j1TKbKlgbEiX5o34ckg7Bno3rrKxCWiO/Px8WrZogZubG8dPnND1cADB2FUZBUVi/hsYzPpT4dIuWc/7q1ua0aGxHYPaOvN+r+YqlUHKkrUDO7rSsWk9FpXG2AV/+zrJ2YUsPxrCgevRqlLVzIQ3u7rzySvetHKsmvzEO4+zWHEslEPB8TxIzlI0snkaMxN6uDfgk1faMKx1kyoZm4B2GTBgAK1bt+b777/X9VAAwdjphKz8Ir45HMK2i/eJfZxR9oxPhrEhDW0taetcjwGtHJnQ2Y2g8MeM3XBSUa7I3FS+UunuVJeI+FSVSzRqYMM0Xy+m9Wup1ZSpmLQc/rwYzbGwhwQ/SCM9K0/V2D6FmY0lg7wb838DW5VLzgtULz799FM6dOjAmDG6KzemjGDsdIxYDP/eiOW3c/c5HfGYvMy8Z+L3nsHIABNLcwoLilST3ZURiejhLZWqI9o6a6yQZ/qTQgJDH3LmfhK3H6QRlZTFw6x8KCh8sdEGMDHCp0ld3ujixixfD6xMKx6WI1B9+OOPP+jSpQstWmgnT7uiCMZOzxCLYW9wHNuvRnMhIpHYlOyyFzlehIEIjAzAyBgzY0PqGBtiaWqElakxdSyMqWNmip2lCfZWphQUlZCWU0BaXgGZeYVkPykkp7CYzIJi8opKoLhYKj3Fkpcbs6cxNcKtvg2+Xo2Z5eeFt4PNS08JDw8nOTn5pccJ6D8PHjygsaMjIi3FQFpaWtK+ffkriwvGrhqQ/qSQv67GcCTkATdjU4lJy3n+jE4XGBogsjTDp541bZ3r4uvlwLA2zmpJ5knvvMPhw4e1MEiBmoa7uzunz5wp9/GCsaumZOUXcf1BOnceZXA/MZO4lBweZeaRlPWE1NwC0vOLoKhY6jOrzEcsAgwNwNgYGzNj6lma0rS+Na2a2NPNtQF+Ho2oa6m57Io9e/Zw584djV1PoObSoEEDJk2aVO7jBWNXCygSi0nOLpAaw+x8knMKSM3NJz23ECMDA2zMjahjZoKdhQm2VmbUszDB3tKU+tamQhqWQI1BMHYCAgK1AuGxLSAgUCsQjJ2AgECtQDB2AgICtQLB2AkICNQKBGMnICBQKxCMnYCAQK1AMHYCAgK1AsHYCQgI1AoEYycgIFArEIydgIBArUAwdgICArUCwdgJCAjUCgRjJyAgUCsQjJ2AgECtQDB2AgICtQLB2AkICNQKBGMnICBQKxCMnYCAQK1AMHYCAgK1AsHYCQgI1AoEYycgIFArEIydgIBArUAwdgICArUCwdgJCAjUCv4fm4UKoWQNdd0AAAAASUVORK5CYII=",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/186.jpg"
}
] |
<image>Find the area of the shaded region. Assume the inscribed polygon is regular.
|
A
| 64,634 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/187.jpg"
}
] |
<image>Express the ratio of \sin Q as a decimal to the nearest hundredth.
|
A
| 64,635 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/188.jpg"
}
] |
<image>In \odot F, m \angle D F A = 50 and C F \perp F B. Find m \widehat C B E.
|
D
| 64,636 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/189.jpg"
}
] |
<image>Find x. Round to the nearest degree.
|
C
| 64,637 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/190.jpg"
}
] |
<image>Find x. Assume that segments that appear to be tangent are tangent.
|
C
| 64,638 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/191.jpg"
}
] |
<image>Find y.
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gxws9VMcRD9G7Tx+69+hBdnY2/v7+/HH4sOpIwkJIoYhHsmfPHj7++GO0Wm3hZRVhvPwD/GnVuhXpaWn4+Phw/vx51ZGEBZBCEf8pOzub8PHjyc/P55VevahStYrqSOI/aDQaRo4axTPPPENycjLeXl7cuHFDdSxh5qRQxH965+23OXHiBO7u7vTt11d1HPGIbGxsiIiKpFq1apw6dQo/X19u376tOpYwY1Io4l8dP36ct99+++7yKqHY2NiojiQeg4ODA7Hxcbi6ubF//35CgoPJyclRHUuYKSkU8VD5+flEhIeTk5ND5y6dqVff9JZJ9/DwwMPDw6I/8ylTpkzB3vROTmzevJlImaYXxUT2QxEPtWzZMmJjYihTpgxz5s2lZMmSqiOJJ3DixAmmTJrMnTt3GDFyJLGxsaojCTMjZyjigS5fvsz0adMA8A8MkDIxA7Vr12bs3Wn6+e+8wwdLlqiOJMyMFIp4oNjYWNLT03mu+XO0bNlSdRyhJ02aNCF0WBgajYaJEyeSlJSkOpIwI1Io4h+++eYbNqxfj4ODA4FBsryKuenYsSPePt7k5+czauRItm3bpjqSMBNSKOI+aWlpJMTHA+Dt44OLi4viRKI49Ordmxd6vkB2djYB/v4clml6oQdSKOI+r02ZQnJyMk8//TRdu3VVHeeJjRg+guFhw8jPz1cdxegMGTqU1m3akJ6eziAfH86dO6c6kjBxUiii0M6dO1mxYgU2NjaEhJnH8ipXk5O5evWq3Cb7ABqNhhEjR/BMgwaF0/TXr19XHUuYMCkUAUBWVlbhfEKv3r2pVKmS6kjCAAr2po+kWvVqnD59WqbpxRORQhEAzJ0zh1OnTlGpciV69+mtOo4wIHt7e2Lj4nBzc+PXX38lKDBQpulFkUihCI4cOcK7774ry6tYsHvT9E5OTvz444+Ejx8vlwnFY5NCsXB5eXlEhIeTm5vL81278vTTT6uOJBSp4O5OTGwsJUqUYPXq1UydOlV1JGFipFAs3LKlS9m/fz8uLi4M8h2kOo5QrFbtWowPH49Wq+W9d99lyeLFqiMJEyKFYsEuXrzIG2+8AUBAUCD29vaKEwlj0PjZZwkbNgyNRsOkSZNY+9VXqiMJEyGFYsFioqO5desWLVu2pHnz5qrjCCPSoWMHfAb5FEzTjxrFtq1bVUcSJkAKxUKt/eorvv/+e0qWLIl/YIDqOMIIvdKrFz1ffJGcnBwCAgI4dOiQ6kjCyEmhWKCbN28yYcIEAAb5DqJMmTKKExWfypUrU7lyZbMY0lRh8JDBtGn7/9P0Z8+eVR1JGDHZD8UCjR07llUrV1KvXj0mTZksP2zFv8rNzWXa61P5/fffqV6jBmvXrqVcuXKqYwkjJGcoFmbbtm18vmoVtra2ZrO8iihe1tbWRERFUr16df68O01/69Yt1bGEEZJCsSB37twhMjISnU5Hn1f74O7urjqSMBH29vbExsfx1FNPceDAAZmmFw8khWJB3nzzTc78+SdVqlThlV69VMcRJsbZ2Zm4hHhKly7NTz/9xLixY2WaXtxHCsVCHD58mIULFhQsrxIWirW1tepIwgRVqFCBmLiCafovvviC1197TXUkYUSkUCxAXl4e4ePHk5ubS/cePfDw8FAdyWAiwyOIGB8u+6HoUc2aNRkfEY5Wq+X9999n0aJFqiMJI2G2hbJnzx62bNmiOoZRWLJkCQcPHqRcuXJ4eXupjmNQZ86c4cyZM3JpRs8aN27MsBHD0Wg0TJk8ma++/FJ1JGEEzPK6h06nY8jgwWi1Wn77/ff7njty5Ajduv77ToTVqlXjZzOZDD537hyzZs4EIDAoSJZXEXrTvn17bqbc5OOPPmL06NG4uLjQvkMH1bGEQmZZKGvWrCElJeWB98rb2NhQoUKFB36dTqfjwoULZGdnF3dEg4mOiuL27du0btOGps2aqo4jzMzLr7xMSsoNvvn6GwIDA/kiMZEGDRqojiUUMZtCOXz4MHv27GH37t18u27dQ19Xq1Ytdv/yywOfW7p0KXGxsYQNG1ZcMQ3qiy++4KeffqJUqVL4+w9VHUeYKb/Bg7l5M5VtW7cyyMeHtUlJVKtWTXUsoYDZFMqXiYm89957Rf76c+fOMfX112n23HP4+fn962tv3bpFcnIyrq6u2NrasuWnn7hx4waenTvj5uYGwI0bN9i+fTvX/vqLFi1aUK9+/SJnK4obN24waeJEAHwH+1Ha2dmgxxeWQ6PRMHzEcNLS0vjt4EG8vb1JSkqSaXoLZDaF0q9/f5o99xwA165dIzIi4rG+fvy4ceTk5DBr1qz/nB5fuHAhs2fNYvTo0axYsYK//voLACsrKxYvWYJGoyE4KIjc3Fyg4C9cwoQJhIaGFuE7K5pJEydy/fp1nmnQgE6dOhnsuMIyWVtbEx4RzqSJEzl96jSDfHxY88UXlCpVSnU0YUBmc5dXnTp16N69O927d8fT0/OxvnbTxo1s376dfv37U6dOnf98/b07hubNm0fNmjV56623GDJkCDqdjrDQUEKCg+nYsSOLFi9mxMiR6HQ63pw9m8zMzCJ9b49ry5YtrFmzpmB5ldAQWV5FGIS9vT2xsbE8Vb48v/32m0zTWyCzKZQnMWfOnIKBv5CQx/q6pk2b8kViIgO9vJg2fTp16tQhOzubLl268NHHH/Piiy8SHR2Nk5MTt27d4srly8X0Hfy/27dvExUZCUC//v0oX758sR9TiHtKOzsTnxCPs7MzW7ZsYeyYMXLLtgWx+EL58ccfOXDgAJ6entSuXfuxvraTp+d9v/3Xv/s5SfcePQofs7KywuPuWc+drCw9JP53s2fN4ty5c1SrVo2XXn652I8nxN+VL1+emNhY7O3tSUxM5LUpU1RHEgZi8YXy/t0P8gMCAx/7a/9+fdjKquA/p5Oj4/2PG+iS02+//cbixYuxsrIiJCwUrVZrkOMas3LlylFWPhw2uBo1axAeEY61tTULFixgwYIFqiMJA7DoQrl69So7duzA0dGRNm3aqI7zRHJzcwkfP568vDxe6PkCtWrVUh3JKLy34H0WLFwg5apAw0aNGDa8YJr+tSlTSExMVB1JFDOLLpR169aRn59P+/btsbGxUR3niSxauJBDhw7h5ubGQC/LWl5FGK927dvhN9gPnU7H2DFjZDkkM2fRhfJ1UhIAXbp0UZzkyZw5c4Y333wTgKDgIOzs7BQnEuL/vfjSS7z08svk5OQQFBjIwYMHVUcSxcRiCyUrK4u9e/cC0LJVK8Vpik6n0xEZGUlmZibt2rej8bPPqo4kxD/4+vnSrn07MjIy8B00iDN//qk6kigGFlsoR44cITc3F1tbWypXrqw6TpF9/vnnbNu6FScnJ4YMleVVhHHSaDQMGz6cRo0ace3aNby9vQsHgoX5sNhCOXToEAA1atQovDvL1Fy7do0pkycDBespOTk5KU5kfCYmTGBCfILsh2IErK2tCY+MoGbNmpw5c4ZBPj5kZGSojiX0yDR/kv6HewWh/ZddCY8ePQoUbBZU5OM85Hbgvx/33u6I+t4lccKECaSkpNCwUSM6dJRlwx/kyJEjHDlyRIbrjESJEiWIiYulfPny/P777wQEBMg0vRnR6ORvmknavHkzvoMGYWdnx5tz3uKpp55SHcko9e/bD51Ox8rPVz3WrcNHjx4lKyuLRo0aFWM6y5V85QrxcfHcvHmTXr17M3/+fJO9UiD+n9ksDmlJbt26RUx0NAD9BwyQMtEznU7HzDdmYGVlxZIPP/jH81lZWQz2ffCK1FZWVixcvAjHvw23ivs9Vb48MXGxTJowka++/BI3V1cm3b18K0yX/EpggmbMmMGFCxeoUbMGPV/sqTqO2fl5y8+kp6c/9Pkb16+Tl5eHtbU1LmXL3vePc5kycnntEdWoUYPwyAisra1ZtGjRE20/IYyDnKGYmF9//ZWlH36IVqslNCxMJsD15MyfZzh27BhHjvzBrp27/vW1f127BkDbdm0JDQszRDyz1bBhQ4aPHMHbc+cx9fXXcXNzo2/fvqpjiSKSQjEhOTk5hIeHk5eXx8uvvEL16tVVRzIbW7duJWnt2kd67fVr1wFwd69YpGPduXOHlBs3cC5TBmtraw4eOEBaejpNmjTB+e5GaOlp6Rw6dIjU1Js8XbeuWe+A2LZtW26m3GT5smWMGzuWcuXK0bFjR9WxRBFIoZiQ9997jyN//EH58uXpP6C/6jhmpWOnjtR5umBV6LTUVBYuWPjQ116/XnCG4u5eoUjH+ubrr1m1chV9Xn2VzZs3k3rzJlAwqxEeEQ4aDW/NfpO8vLzCx339fM169egXX3qRlJQUktauJSgwkNVr1tC4cWPVscRjkkIxEadPny7ctyUoJFiWV9GzypUrFw64Xr97Sethrt19PjPzDu+/9z7JV65QtVpVmrdoUbiFwb+59xlL4hdfUK9ePbx9vDl96jQbN2xg7py55Ofn06hxYzp16sipU6f56ssv+XzV53Tt1s2s/78P8h3EzZs3+XnLFvx8fVm7di3Va9RQHUs8BikUE6DT6YiMiCArK4uOHTvSsGFD1ZEs2r1LXu+8/XZhORw+fJjvvv2OoOBgnu/6/CO9j4eHB5OmTEaj0eDp6cmRP/7g3LlzNG/RgojIgi2sW7RsycYNG7h9+zY3btygQoWinRWZgoJp+mGkpaZy4MABvL29WZuUhJubm+po4hHJXV4m4LMVK9ixYwelS5fGb8hg1XFMikNJBxwcHPT6nvc+lK9Xrx6Tp0xh6vRptGnbBp1Ox9IPPyQ97eF3iP2vZ5s8e98Gbfc+J2nevHnhYxqNpvDMKSfb/AcAtVot4yPCqVWrFmfPnmWQj8+/3nEnjIucoRi5q1ev8tprrwEwZOgQmW94TMuWL9f7e7Zr15asrGxeeeUVSpYqCUCtWrU4c+YsFy9cYOvWrbzQ84X/fJ8SJezv+3eNVUG5/L0A7z1uKe5N08fHxnHo0CECAgL49NNPTX6LCUsgZyhGLiE+ntTUVJ5t8ixt27VTHUcAr/bti7ePd2GZQMFAY9OmTQG4fPmyqmhmw8nJibi7e9Nv27qVUaNGyXpsJkAKxYht3LCBr7/+mhIlShAUHKw6jvgPpUsXLM6ZlpamOIl5eOqpp4iNj8PBwYG1X33FpEmTVEcS/0EKxUilp6cTExMDwECvgbi6uipOJAAyMjL45utv2LB+wz+eu3jxEoCs+qxH1atXL5ymX7J4Me/On686kvgXUihG6o3p07l8+TK1ateixwv/fT1eGEZGRgbLly1jyeLFpKSk3PfcyRMnAHB1Lacimtlq0KABI0eNRKPRMG3aNFavXq06kngIKRQjtHfPHpYvX47W2prQsDBZhfUJvDF9OtOnTtPb9fcyZcpga2sLwK/79xc+fvTIUc6fP49Go6FFy5Z6OZb4f63btGHI0CHodDrGjxvHDz/8oDqSeAC5y8vI5OTkEBERQX5+Pr179aJq1aqqI5m0/fv2o9Pp9LZgo52dHZ6dPVn/3XoWLVzE/v370Wis+HV/wXFat24tqz8Xkxd69iQlJYWvvvyK4KAgVq9Zw7Oy5bVRkV99jcw777zDsWPHqFChAv3691MdxyJp7p4RWj1k4c3BQ4bg6ekJwO5du9m1cyc5OTm0btOGkaNHPfJxrB5yO7BWe/9fS62V9oGPWyJvHx86dOzA7du38fP15fTp06ojif8hG2wZkRMnTvB8ly7k5OQwYdJEnnnmGdWRTF5RN9h6FKmpqZw9exaNRkPt2rUpUaKEXt9fPFheXh4z3niDX/f/SpUqVViblCRnhUZCfuUxEvn5+USEh5OdnU0nT08pExNQunRpGjZsSIMGDaRMDEir1TI+PJxatWtx7tw5maY3IlIoRuKTTz7hl19+wdnZGT+/B+8GKIQoYGdnR0xsLBXc3Tl8+DAB/v5kZ2erjmXxpFCMQPKVK0ybOhWAoQH+901gCyEezMnJifiEeMqUKcO2bdsYNXKkTNMrJoViBGJjY0lLS6NZs2a0bt1adRwhTIabmxuxcQXT9ElJSUyYMEF1JIsmhaLYt99+y3fffYe9vT2BQYGq4whhcqpVr0ZEVCQ2NjZ8+MEHzH/nHdWRLJYUikJpaWnExcUB4O3jTdlyMmEtRFE888wzjLg7TT99+nRWrVqlOpJFkkJRaOrrr5N85QoedTzo1r276jhmycrK6r49R4T5at26NUP9h6LT6YgID2fz5s2qI1kcmUNRZPfu3fTp3RutVsvM2bMKN1ESQjyZFZ+u4MvERBwcHPh89WqaNGmiOpLFkDMUBbKzs4kID0en09Grdy8pEyH0yMvbi46dOhVO0586dUp1JIshhaLAvLlzOXnyJBUrVqTPq6+qjiOEWdFoNISGhdKkSRNu3LiBt5cXyVeuqI5lEaRQDOzYsWPMnz8fjUZDSFiobGsqRDHQarWMCx9P7dq1OX/+PD6DBsnGZwYghWJA+fn5hIeHk5OTQ5fnu1C3bl3VkYQwW/em6d3d3fnj8GH8hw6VafpiJoViQMuXLWPf3r24uLgwyNdXdRyLMG/OXObOmSMT1BbK0cmR+IR4XFxc2LFjByNHjJA/C8VICsVALl26xPTp0wHwDwjAwcFBcSLLsH37drZv2663/VCE6XF1cyMmLhYHBwe+/vprEhISVEcyW1IoBhITE0NGRgbNW7SgRcsWquMIYVGqVatGZHQUNjY2LP3wQ96eN091JLMkhWIASUlJbNq4EQcHBwIDA1THEcIi1a9fn1GjR6HRaJgxYwarVq5UHcnsSKEUs9TUVCbcPcX2GTSIMi4uihMJYblatmqFf4B/wTR9RATff/+96khmRQqlmE2ZMoWrV6/ydN2neb7r86rjCGHxuvfoQZ9X+5Cbm0tIcDD79u1THclsSKEUo+3bt7Pys8+wsbEhNDRU1pQSwkgM9PLC09OTzMxM/Hx9OXnypOpIZkEKpZhkZWURGRmJTqejz6t9qFipkupIQoi7NBoNwaEhNG3WlJSUFJmm1xMplGLy1ltv8efp01SuXJlevXurjiOE+ButVsvYcePwqOPBhQsX8PbxkWn6JySFUgyO/PEH77/3XuHyKtbW1qojCSEewM7OjuiYGCpWrMiRP/5g6JAhZGVlqY5lsqRQ9CwvL4/w8HByc3Pp1r0bderUUR1JCPEvHB0dibs7Tb9z505GDB9OXl6e6lgmSfZD0bPFixczccIEypYty5x5c7G3t1cdyaLduXMHgBIlSihOIozdubPnmJCQwK1btxgyZAjT7q5sIR6dnKHo0YULF5g5YwYAgUGBUiZGoESJElIm4pFUqVqFyKgobGxtWLZsGXPnzlUdyeRIoehRdFQUt27dolXrVjR77jnVcYQQj6le/XqMGj0aKysrZs2cyWcrVqiOZFKkUPTky8REfvjhB0qVKoV/gCyvIoSpatmyJf4BAeh0OqKioti0caPqSCZDPkPRg5SUFDq0b8+1a9cIDQujc5fOqiMJIZ7Qys9W8sWaNdjb23Po8GG5hP0I5AxFDyZPmsS1a9eoX78+np09VccR/2PRwoUsXLBQlq8Xj23AwAF4du5MZmYmoaGh5Obmqo5k9KRQntDWn39m9erV2NraEhIaIsurGJnvN33P95s2yaZK4rFpNBqCQ4Jp1qwZmzZuJCoqSn4x+Q9SKE8gMzOz8A/Zq337UsHdXXUkIYQeabVaxowbi52dHZ+tWMGsmTNVRzJqUihP4M3Zszlz5gxVq1bllV6vqI4jhCgGdnZ2jBk3Fq1Wy9y5c1m2bJnqSEZLCqWIDh06xKJFi7CysiI0LAytVqs6khCimDRr1ozgkGA0Gg0J8fGsW7dOdSSjJIVSBLm5uYSPH09ubi7de/SgVu1aqiMJIYqZZ+fODBg4gLy8PEYMH87OnTtVRzI6UihFsHjxYn777TdcXV3x8vZSHUcIYSCv9u1Lt+7dycrKYuiQIRw5ckR1JKMihfKYzp49y+xZswAIDA6SZT2EsDD+Af60bNmStLQ0fLy9uXDhgupIRkMK5TFFR0WRmZlJ27ZtadKkieo4QggDs7KyYtSY0dSrX48rV67g7eVFSkqK6lhGQQrlMaxevZotW7bg6OjIEP+hquMIIRSxsbEhMiqKqlWrcvLkSfx8fcnMzFQdSzkplEd0/fp1Jk+aBIDfYD9Kly6tNpAQQqmSJUsSFx+Hq6sr+/btIzQkxOKn6WUtr0c0YvhwEhMTadCgAQkTJ8hEvIlIuXEDgDIuLoqTCHN18eJFEuLiSU9PZ6CXF2+++abF/nyQM5RH8OOPP5KYmIidnZ0sr2Jiyri4SJmIYlWxYkWiY2Ows7Nj5WefMePunkiWSArlP9y+fZvoqCgA+vXvx1PlyytOJIQwNh4eHowbPw6tVsvb8+ax9MMPVUdSQgrlP8ycMYPz589TvXp1XnzpJdVxhBBGqknTpoSEhhZM0yck8M0336iOZHBSKP/iwIEDfPDBB7K8ihDikXTy7MRALy/y8/MZMXw4O3bsUB3JoKRQHiInJ4fw8HDy8vLo+eKL1KhZQ3UkUQQff/QRHy3/SJYdFwbT59U+dO/Rg+zsbIYOHcofhw+rjmQwUigPsXDBAv44fBi3p9wYMHCA6jiiiL5O+pqvk5JkPxRhUP4B/rRq3Yr0tDR8Bg3i/PnzqiMZhBTKA5z580/eeustAIJDQrCzs1OcSAhhSjQaDSNHjaJ+/fok352mv3H3FnZzJoXyNzqdjsjISO7cuUP7Dh1o1KiR6khCCBNkY2NDZHQU1apV49SpU/j5+nL79m3VsYqVFMrfrFq5km3btuHk5MSQIUNUxxFCmDAHBwdi42JxdXNj//79hAQHm/U0vRTK//jrr7+YMmUKAIOHDsHRyVFxIiGEqSvj4kJ8QjyOTk5s3ryZiPBws71JRArlfyQkJHDz5k0aN25M+/btVccRQpgJd3d3YmJjKFGiBKtWrWL69OmqIxULKZS7Nm3aRNLatZQoUYKgkGDVcYQQZqZ27dqMvTtNP/+dd/jwgw9UR9I7KRQgIyOD2JgYAAYMHICbm5viREIIc9SkSRNCwwqm6SdMmEBSUpLqSHolhQK88cYbXLx4kZo1a/JCz56q4wghzFjHTp3w9vEmPz+fUSNHsn37dtWR9MbiC2Xfvn0sW7oUrVZLaFgYVlYW/59ECFHMevXuzQs9XyA7Oxv/oUM5bCbT9Ba9H0pOTg7dunbl6NGj9OrdC59Bg1RHEnp26dIlACpUqCDbDgi90+l0XLhwgYyMDDw8PB5rvT+dTsfct+awY8cOnnrqKdYmJVGlSpViTFv8rFUHUOndd9/l6NGjlK9Qnn79+6uOI4qBu7u76gjCTKXevMns2bM5euQoAKVKlcLL24uu3bo90tdrNBpGjBpJWno6h37/HW8vL9YmJVG2bNnijF2sLPb6zqlTp5g3dy4ajYbgkBBsbW1VRxJCGNCZM2fYu3cvqampD3w+MzOT48eOc/DgwQc+v2TxEo4eOUrbtm3x9fOlZMmSLFm8hOPHjz9yhoK96SOpVr0ap0+fNvlpeos8Q9HpdESEh5OVlUUnz040aNBAdSQhhAHdyrjFlEmTSU9PZ8zYsbRp26bwuaysLJYvW8b3m74vHEBs3bo13j7ehRvs5efn8+uvv1KrVi1Gjx0DgIdHHRLi49m/bz8eHh6PnMXe3p7YuDjiY+P49ddfCQ4KYumyZdjY2OjvGzYQizxD+fTTT9m1axfOzs74DR6sOo4QwsA+/3wV6enpD3xuxacr2LRxEzY2NrRp24YmTZqwY8cOXpvyGnl5eYWv02g0931mYmNbUAB5eY+/tEqZMmWIT4jHycmJH374gfDx401ymt7iCiU5OZnXX38dgCFDh1KqVCnFiURxWrN6DWtWrzbJv5yieFy8cIEN6zc88Ln8/Hw2bdwIQNiwMMaMHUtMXCwajYbk5OTCy1lWVlY0bNiQY8eOsWTxEn7YvJn33n0XgIZFXFC2grs7MbGxlChRgtWrVzNt2rQivY9KFlco8XFxpKWm0qRp0/tOc4V5+nzVKlatXCX7oYhCy5YuQ6vVPnDTvBs3bpCTkwNA42efLXy8cuXKAFxNvlr4WEhYKNWrV2fD+vW8/977nD93nn79+z/RJfRatWsxbvx4tFot786fz5LFi4v8XipY1GcoG9avZ926dQXLqwQHqY4jhDCwfXv3ceDAAV7t25cLF85z+tTp+54vU6YMdnZ2ZGVlkZGRUXgFIzs7GwDnMs6Fr3VycmLm7FlcuHCBC+fPU7NmTVz1sMrGs02eJWzYMN6dP59Jkybh6urKK716PfH7GoLFnKGkp6cTc3d5FS9vb8qVK6c4kRDCkPLy8li+fDllXFzo3af3A1+j1WqpU6cOAD/+8GPhme2VK1ewtramRo1/ntVUqlSJlq1a6aVM7unQsQM+g3wKpulHjWLb1q16e+/iZDFnKNOmTuXKlSvUrl2b7j26q44jhDCwb9et4/KlS4wcNfJfd2HtN6A/p06dIvGLL9iyZQtOjo5YWVkxeuwYHB0Nt6XFK716ceNGCt+uW0dAQABfJCbyzDPPGOz4RWERZyh79uzh448/xtraWpZXEcICpaamsmb1GmrVrkW7/9iaokaNGrRt1w6A69eu8eeff1KxYkVcXV0NEfU+Q4YOoU3bNqSnpzPIx4ezZ88aPMPjMPufrNnZ2USEh5Ofn8/Lr7xClaqmvbSBEOLxrfzsM27fvs3Qof7/ugSPTqdj2utT2bB+PQ0bNSI8IoLhI4Zz/vx5Jk2YSPKVKwZMfXeafuRIGjRowNWrV/H29ub69esGzfA4zL5Q3nn7bY4fP467uzt9+/VVHUcIYWBn/jzD5u8307ZdOzzq/PvA4Z49ezh8+DCOTo7ExsXSomULOnbqRKNGjbhz5w6//PKLgVL/P2trayKiIqlevTp/nj6N76BB3Lp1y+A5HoVZf4Zy/Phx3nnnHTQaDSGhoSY5eSr0Y9nSpWg0Rfv9yd29At179NBzImEoO3fuQKfTsW/fXkYOH1H4eEpKCgCLFy1i165djA8fz4njJwB45pln7htabNioEQcPHuTAgYO89PLLhv0GuDtNH18wTX/gwAGCAgNZ/tFHRvczzWwLJT8/n4jwcLKzs+nyfBfq1a+nOpJQ6MyfZ6AIiw0fPXKUZxo0kEIxA5m3M8m8nfmPx2/dusWNu5eR0u6u61W6tPN9r3F3rwBAxkOm6w3B2dmZuIR4EuLi+emnnxg/bhzz3n7bqFbRNttC+eijj9izZw9lypRhkK+v6jhCsUlTJj/W0uL3LFywkCsGvm4u9MvL2xsvb+9/PD571ix279p931pe9279PX361H2vvfdnQPW4QYUKFYiOjWHyxEmsWbMGNzc34hMSlGb6X2b5GcqVK1eYfnfZAv8Af0qWLKk4kVBl2hvTmT7jDbmzTzyS6tWrA3D61GkuXLhQ+PjGDQXLsdStp/5KR61atRgfEY5Wq+W9995j0aJFqiMVMsszlJiYGNLT03mu+XO0bNVKdRyhUK1atVRHECakSdMm1KxZk1OnThEXE0ujxo3Iy83j8uXLODo60rlLZ9URAWjcuDHDhg9j/jvzmTJ5Mm6urvTq/eBhTUMyu1/b1q1bx4b163FwcCAgMFB1HCGEkdJa/fMSqEajISo6isaNG3P79m127tjJL7/8gru7O69Pm4q9vb2CpA/WvkMHBvkOIj8/n9GjR7P1559VRzKvLYDT0tLo0L49ycnJBAYF0a37o+2cJsTD3PsMZeKkiaqjCAO7efMm58+fx9bWtnA5FmO0fNkyvvn6G0qVKsUXiYlK93cyqzOU16ZMITk5maeffpqu3bqqjiOEMGHOzs40aNDAqMsEwG/wYNq2bUtGRgaDfHw4c+aMsixmUyg7d+5kxYoVWFtbExIWalS30gl1vl23jnXffCP7oQizpdFoGD5yBA0bNuSvv/7C29uba9euKcliFoWSlZVFZEQEOp2O3n36UKlSJdWRhJFYtnQZy5Yuk/1QhFmztrYmPDKCGjVqcObPP5VN05tFocydM4dTp05RqVKlhy5LLYQQ5qxgb/pYnipfnoMHDxIYEFC4WZihmHyhHDlyhHffe0+WVxFCWLzSzs7EJ8RTunRptmzZwtgxYwx6udekCyU/P5/IiAhyc3J4vmtXnq77tOpIQgihVPny5YmJi8Xe3p7ExERemzLFYMc26UJZ+uGH7Nu3D5eyLvgM8lEdRwghjELNmjUZHxGOtbU1CxYsYOHChQY5rskWysWLF5kxYwYAAYGBODg4KE4khBDGo1GjRgwbPhyNRsOUyZNJTEws9mOabKHEREeTkZFBy5Ytad68ueo4QghhdNq1b4evny86nY6xY8awZcuWYj2eSU7KL168mIkTJmBlZYWrq6ss/Cce6vLly0DBKq1FkZqaSm5uLmXLltVnLCEMKi0tjVu3bqHValmblESTJk2K5TgmuTjkpUuXgIIP5ZOTkxWnEabgXrGo+nohjEFeXh6XLl0qtkIxyTMUKLhd2NbWVnUMIYQwCTqdDq1WW7hEf3Ew2UIRQghhXOTDByGEEHohhSKEEEIvpFCEEELohRSKEEIIvZBCEUIIoRdSKEIIIfRCCkUIIYReSKEIIYTQCykUIYQQeiGFIoQQQi+kUIQQQuiFFIoQQgi9kEIRQgihF/8HZH9JM3JunJ8AAAAASUVORK5CYII=",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/192.jpg"
}
] |
<image>What is the area of the triangle? Round your answer to the nearest tenth if necessary.
|
B
| 64,640 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/193.jpg"
}
] |
<image>Find A B.
|
D
| 64,641 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/194.jpg"
}
] |
<image>Find x.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/195.jpg"
}
] |
<image>Find m \angle A C B.
|
C
| 64,643 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/196.jpg"
}
] |
<image>In the figure, F J \cong F H and G F \cong G H. If m \angle G H J = 152 and m \angle G = 32, find m \angle J F H.
|
B
| 64,644 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/197.jpg"
}
] |
<image>Find x.
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",
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}
] |
<image>Given a \parallel b, find m \angle 1.
|
C
| 64,646 | null |
C
|
[
{
"bytes": 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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/199.jpg"
}
] |
<image>Find the measure of \angle R to the nearest tenth.
|
B
| 64,647 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/200.jpg"
}
] |
<image>Use parallelogram A B C D to find m \angle F B C.
|
A
| 64,648 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/201.jpg"
}
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<image>Find m \angle 1.
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C
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C
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/202.jpg"
}
] |
<image>Find x.
|
A
| 64,650 | null |
A
|
[
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GffpFVkqRhXjpl3RL7aRS4zKnQ+KkBmTe9Tdc9RNxT2UNhtw/Hau4PHpbK0+PvvcNbn1jEQDgr1cehR8P6WjlUX1MA09n/ppdmFy2Bq/NXY+dQnqmY8tCXDK8GOOGF6NXu6YGHpPysk2xaKZG30HnIEwNpb7HpWFZGKWaNqOeqUG34XDFTcknfJdGXVVfg19yDKnGn8KHvJOFq211jAUcnBOg59EXvnhe2qjzbwFnQn4dkyqPXsmwwsMUvkQqI69Y7i8zMAHdC5bp6Sfi2KfnCHn0fiSedlVUo+SWaThQVYuR3Vvjo1uPpfMoeX0spCpV1dbjXws2YVJZOd5fIqdnSru1wvgRJRg7pCOaF+Zr8STvYbO4+Sv03TlUTxRhsKkCehTissj52l/KB/YkfLq+ZbKo0mrF3x2lHs8UTjDfUqOsf8mH3p7QeOTxi6hE46rTcLrd4zEZHwCTmmlwaBjzhKpaUh7sZ7/ENXY6HGGJ0CdR4c10WUxUiGHULSEze67LyO6tMP2mY5CX60WNLfDzl77Ecx+tAgDMvfMEHFnSgsSj606EjXsO4uU5azGlbC2WbuTTM4X5uTh78OGYUNoZJ/QpQs4hOcox7qTla5PSZCSjLpUQeDDzpvplNupMidSvJPgKaMqen55HHQ6RJ/p4SluVJVw6qmw7M49Go46U7WG5djKYSl5djbp+3io2/DjxqNinrlY6e1qCra/BIV/Sr0QsBnHJcTbqtlCOatT5Cuy5Lq2bNMD8u09ExxaFTmmlpRv3YuA9H8D3gUuHF2PSZUOMPOr7YKbD8j939S5MLivHX+euw66KGq5Wp8MKcenw1O6ZHm2aaGiydKgG2C4LN4NlM+o6Gq5ADff1tDM16oBq8cnUodGXqiPAOLJU665m+muvBK3ceOTnq2R7DPNaiVFqp+JZ2jmu5FK+apOtbdFUtIiMutlAqBWN7lWF3xyNukg7sycLWTAbdQ/8is5SS+XRZ4R59LevCfLo0KzmCsVOIx39+0/xwdKtKMjLweqHT0XbZuwxvKbBdzU4/PWDNXV4e8FmTCpbgw+WbkUdk57xPGBEt9YYN6IYY4/siGZceobKh1jXpshJG3UTLaHUaET1xsN8I9kXahuMuo/wiGQTZBqlaveiK42dwCPUsgqqeuIksRgjlorpCidH384jDGVmHAb99Jl/6W5pn1jV9sTeN31q2W1RtRh1gThpEtFxmI262uhmlge14w9LPBlL0ILbjz66Fx4M8+g6HiOtELmaunAzznyyDABwz5l9cNcZfRQUXcBkdNVlG3ZX4qXZazGlrBzLNu/jajRqkItzBnfAhNISHNe7CPIuzTjerMvCoMeduD6yHNmMNVEf9WkDvU6YINknc21y1Dt1El8SWwocqjaWKy48xsdhAv04mZ7yjJNGzPwQuXRJyqjTPZz429wEBbF66Qqjq/SC7fTUoMYPyF4H+/PJGStxXTqPPiLIo+fwnXHx1P16H33ueh8rtu5H++YNseq3o9EgPFQ902hExGFXjDmrdmJyWTlen7cOu4X0TEmrRrh0eDHGlZagW1FjAo8unroOzLqZmD4KJPV6pvOu9LRTZxjpPX4WnxEkD5MCOk9Xpm09kdPgNFKMOkvPPOcl7lLfNJFGZjhsoB4nHQ71WNtxx3szmUaK8o3SzJHqIc5kZmKfDAbDit9a18f8NbtwzMMfCfvRCyMswmD/54OZeOTRJ9C5czGef+b3Wux/nL4CN7y2EADw4sShuOioTgKPKqDybWqjx19ZU4d/frkRk8rKMeNrOT0zqkdrjC8twblHdkTThob3lyunsGKiGLmhOh1xFw4KqL1shTVzBLXRU7Gf0f0k34Vd+9wI9V3LkgkHW5bEXFbhprTV6QvdyY01FonrKc9DDKOeiQIH4GqQ4oTrLh6sqV2qnnk/ulpxb73jXrz86hvo1bM7pr/3Dy2tvZU1KL5lGvYdrMWwLi0x+47j6Tz6QtinfahL3zcbrN9ViRdnl2NKWTm+2bKfK2tckIcfpdMzx/YqInobsrFRQbJPs+rATQ/sZZlCnMU6Lh4bPp1BduExaVklG5m61YsLLikiP6rh5LpHdXMMtTTgw01hfLi3ORRg4cvnv0yc9DlWbTsAALh5dM/oxqgGVq5ag3+98x6Jk2aF+RhfWgIgtTtlzqqdZB4ZFbCAq/wj2h1bFuL2Mb2x9P5T8Mltx2LiqM7h3vYDVbV4cXY5TnzsY/S4413c+/ZSrN5+gMa/M/iGD1uHiIZaX6LtAq7tPL6ZrtyFvPW6I28JRybZAZ/759Ik+6DXidApy0DEWU6/2EIvKu5seOo6evJTXU/OWIXrXl0AIDjXhc2jpzwX3/exe/cebNu+AzM//BTPv/ASNm3eAgBWTx0Avt26H33vfB/1vo/zh3bEKz8dRuKRtpi75B95vlS0AaCiug5vfbkRk2aVY+aybahnEtOeBxzbswjjS4vxoyM7oElBnhKHlqof4THzHw/UDy25hNwixJEjWy5fc+dRgSP9R/vyC+O9Axa3rg4lteGidxSg2o1IjhQZyrKyjZMr2GSVlH4r31GqJxJ3B4q6XXaMuv5pNR5dcNPHdNwokDrXRZdHD6p5ANauXY/SY8coyVGMOgCc8UQZpi7cjPzcHKx86BQc3rLQyiPFqAc8ymAIAyX8+nB67c4KvJjePbNiK5+eaVKQhx8P6YBxpSU4pkeQnrGMPTeH5Emq6oZdDOnFVyBPe7iHoe0hdSOdq242iLqXNsj8CbTSlz0CDToOQQYe29pmtOM7AWLtOE+v6l+ao6dLPWtKdOTipo/sN0pNi00cR1Th7SfzkgwduLQzCc/dqGtr+QpsofHg+d1TWYOhD8xQ5NFlrtbFMuo8lveXbMHox2cBAO4Y0xv3nd3XyiNfJnIF7Ny1G397459YtORrrFq1Bu3btUXfPr3w04nj0LRpUy0/cV6I4vvArJXbMXlWOf42fz32HazlanYtaoxxw0twaWkxOrdqpMRBNlSqWlq10OOQ22k8OdUsIeiz+1Y86huHzDhY2ra96TyGOPOObtR9rgbdsFvntUTb0ahrF9G4tkcvq3jP3dDto+GJUhPCuIyY2h0io85iVHi67IQ67xnxfHR+P3pQ1QNQX1+PvXvZPd4eLh53Jb5atIRs1H0fGPDr9/H1pn0oalqA1Q+PRsO8XPOkhGgsIpyLlyzDxJ9dj/XrN0pUu3Quxl+e/QN69uyu5YcHNyU/UFWDN7/YiMll5fho+XYuPZPjeTi2V2tMKC3BOYMPR+MCysNNvJwk7oyqqMDBfHEy0MqoQLMQ8CQtRl2gloRRT//RRcgmU6yGOEbdzicFv0+oRQeZN7qnruPCjUf9Fka7l6+jH5bUVW4j+vxxja4JfVwcLkbdLawJBvfJGStx/WtfAUht3/vgplGa89F1+D2ce954fDbvC4tR5yjjmQ9X4RcvLwAA/GXCkZgwokRJy/YgRV1dHY458QyUl68DAAzo3we9enZH+dr1mDf/SwBAo0aFmP7eW+jU8XAlL3I/VWWWie4Da3ZW4MWycrw4ey1WbjvA1WraMA9jh3TEuNISjOzeGp5H0wN1Lf1YGHEoJ7OiL1ow4KcYdR/RHnCmC+row3HOBDgpMgh51EFcoy7WM81JjSfNNNdGZYwc7WlJk6zYcor9knlUL/5qoOX96eCw+8UTPnHaHWrQhVzBNYEvP/X5vHxXeCxu6yYN8NIVw5CXoxKVCX88Xi8dXhy+1OKJ6SvVfBJg6rvvhwb9mqsmYurbr+H3jz6AN1+fjLvuuBEAUFFRiSkvvqbhJe54y6g6t2qEu87og+UPjsbMm4/FhBGdw5un+w7W4oVP1+C4Rz5C7zvfw4PvLMPanRV6ZOmPHN5SxyLqjwdEk9Bot2PIwrfh5KuKfGgNl4ODEiFSXVTIIAZ6d2Z4hnxfHXlJQKjDypHHSVyojVERgSmyHNVySAocjLovfJIA0owi4JD5inWMqJfKo1/43FxU1dYjx/Mw5fKh3I1RPe1koHFBHi4b2RlA6n2mH3+zXcsrwK7wPC/z5i8AABQUFODqqyaCVaTLJlyMpk1TB3YtWrJUgTwbY516feExPVvjLxOOxIbHTsP//mQIjmP2tq/Yuh93v7UU3W57Dyf/z6d45bN1qKiu0/Ak8pX8WLiDz/1jweQ5cgbcS9fV1s/UgVDMFUaXfHUVpi2FJ9ELTnhsNCJg5ahNW8VlQck+j5tN2yfjwsaTXQ7f2ITcdM3TfE8KdPhlvgI/Li7+KyZ/we1HP4Xbj07Fm5kMrjq+a/iGoiemr1DiNlPwsW1bajHo3q0LGjdulDqSM/3Jz89D+3apfm3fvtOEKMRHB5Uuydw2KcjFuNJiTL/pGHz7m9G4+4w+6NI6dfRAve9j+tdbcenz89Dhpndw5ZQvMGvFjpjejN5Ls6OLZ4iCVqzMjZA2Ap7VGLhGyPR2omHX91pXSo2UhLZJmgtGjjrKbiMa6Ymfxs8RU3wPx9ChX7KO6Lg0cR+V5ckxg54b80sJ4o0OaQuipQbpZQkE/E/OWBneGB3VozXuO7ufgq4HMSfpSeWZQZfWjXH6D9rjn19uxD8XbET5jgqUtJJfj6da3oJrPzzpWLRp0xqdSzpBBN/3sXHjZgBA27ZtxNJ0nTQ+p+7Yjblcz0eX1o3x6zP74u4z+uKj5dsweXY5/v75BhyoqsXeyho8/8lqPP/JavRs2wTjSktw6fDiVPQk+RXiaBjCbuvMps8Lfds4zk7CVi4WBMbMU5y+yNYxeegMHqUueWkKpvYmCOqaBlKok4mXDrbHKj55u0ADcx/YdBLv/Yuy53U1xhOltvyPLUxWs5IsuGOev2YXbvlb6vyVoqYF6Ty6zR+OS80O153YDUDqfaZ/mrnSuf2Pzj4d9959K34y/iKpbNnyb7H/QCoa6d1L3P3CQ+a5PjoCzwOO612E//3JEGx49DT8ZcKROKZn69AYfLNlP+78xxJ0ve1djH58Fl6buw6VNXURoxnwekjeDWLmAOa0xSFKKzkNeNJ8ueAzpYKM+avYSx1vVHURqYG2L30R2gl1Rb/CV1Xw+UsAcpJLnWRjgFm8evzqEFesr+/n7ooaXPjcZ2EeffJlQ9GxZcMM+c4Mju1VhIEdmwMAXvh0DZNbVlMyq3EKampq8Nm8L3D5T68DABQWNsSVE8cnwm/EhYpDanovGuemDXMxYURnzLz5WCx/cDTuPL13GK3U1ft4f8kWXPL8PHS6eSquevlLzFm9S6EEhjQBkxpJ2qB7nsfsi2Z5oegGLcTWl7P1YszJNO+pD4gmwUzDJGM1lxZnUGsctRxY+ZC5kprT6hqq2UfD476G/Fr49sH7NDkRskwNeiblulaqdjpDnS71Tc6Gup9XTI7Odbnl1J44pX+QkjB5AyZIxrBfk/bWdx6oxkuzyzncJArpga6prUO/I0aiR59hOPe8CVi7bgN69uyG1176M9q0KUqE1wgEf4as8/qx7lbUGPee1RcrHjoF7/9yJC4ZXoxGDXIBpBbk5z5ajREPfYh+d72Ph6ctx4bdlRIOmUddCJ0skHd3aNqxH1I765zR06MBM74cX4YFVHlNqO/az8CIxfYlbVF4JMl41jFqxbEYGnd6pOGJXwIcgbwEVLHSL1kNVX3unz5iibiBzrhTQMyj33tWX0sLlq5IlNjUBmk8FxzVCa2bNACQ4pPrUyCn8JosB5+pt2fPXtTWRd7+gf0V+OZb97SOE0g8qqtIY60EDzleDk7o0xaTLxuKDY+ehj+PPzK9tz1VY9nmfbjjzSXocuu7GPOHWXh93nocrJEjHBYnJVyngx5XElvWkpGjHq9Jl6LrrmCRsYJZsifuu/SVNtbaNSID9dDfWbJxr+aXndcqyJNL9cl7z8tUOfmbCcEv6f5JEiQIeMQ8+ss/HWrNo0eQOuOBO48iqcUujacwPxcTj+mC305djiUb92LGsq04sY+7Z52bk4M7br0BW7ZuxTffrMSnZZ9hw8ZNuPm2e1BVVY0J4y7MgFlW2D53VT0WvAKxLV3E16wwH5eN7IzLRnbGt1v3Y0pZOV6cXY51OytRV+/jvcVb8N7iLWjZKB/nD+uE8aUlGNblMAXvIuinYKybYZIMaO3tc81VjvqSgJa8A4PAo5WWeWRV/SSfEeWlMWur6GxbNkA1D+z07OfZxIgRXA700hOkrDgsqFIo/KSRanC6QVv7PEPd3RU1GPpAdD76v68tFbYv6tqqFEVtHNyeKJVp+ADW76xE99vfRW29n9oRc/XwVBlD0uUVZJ4HfLVwMc4ZOwHV1dVo2bIF5pV9gIYNC7j29DNLCHPKY8fCFHa6GFkZ6n0fM77ehklla/DWFxujm6hp6Ht4M4wbXoJLhhejffOGFnq6MreFwNRb/RXDGHrBP5YX8XuAI8YiZAQ1j/q6NlnRcYivwTQsExJu9bKikbe2Fm+bzPRV4Qd9JNRPl5rndVjTS6dfTLks3/fDQ3GipvpQipYHVOHwhLI4ILbT4xHz6Cf3axvjKTRP+J8w+EDHloU4Z3AHAKn3mYqnILpAoCw/GDgAl6V3xezatRtfLVwcizfmH389/WFHMnVJZ+TiydEXMOZ4Hk7q2wYvTRyKDY+NwbPjBqO0W6uw30s37sVtf1+EzrdMxel/nIU35m/AwZp6UvRp5l8HQn8Y2ahyoXy79DKoEYkfmhbdvKHK1J6SiNOOJivP8tG3Er/pwCfJm8Jj6nuAQoUq0BEdGqqE49yHYf2uWDl1E2b2jrk9985ouXA9eIDI6pxrWdE3iJ9HzwR8zUcFHvfv2pNSN0zrfR9PzVjFlalSG/X19Xj3PzPwztT/YPWatUK91Jf+/aMXXAd71p2AZ9FYzxSn8VfieZWqidS8MB8TR3XGJ7cdiyX3nYzbxvQKnwyurfcxbdFmnP/sZ+h081Rc++oCzF+zy0hD8uu44UvSG5aQE+raQOXsqAynyySz6XDCINmUTKMQvXvBTy22jwq7RMYMyT4awVBH6cgzkGMqDArk7VlmDjxQDbr4Wy1AF/CgOhckojF/zU5lHj3zrW2yl5STm9qh0aBBvqJ+xJP82w+xeB5Q2q0VhnRuCQCYVFaOfQdrjZLZu3cfJl55PX529U147/0ZwpOKKfxFrVuFVwob6Y5BoEEg8YBfpSxFu52xLVDJTQ292jXFg+f0x6rfjsa060fg/KEdUZifGpudB6rxp5mrcNSDM/GDez7AY+99g817DirxiIadp6gzEpFGsjJhPStTP5QptFDDWWFSDWwSUaU6vcBTiXVQhwIiI+qa88+cqopePLsk4mbnCbt1UU+fR8DOMbFtTkhEg05WZJN36b76B1uTsr/e++n96HO5/egdWohPasYJRdVt//bqC1i/eiGm/euvPCfa8EovhWtOSHnreytrMLmsPKQWtYxGpnnzZsjLSx2YtTn99iURNm+JrsunNMYBhcyCSwSD7pbYYHI/Ds1yczyc3K8tXr5iGNb9bgz+dMkROKprdPN08Ya9uOWNRSi5ZSrOfKIMb36xAdW19RxJT+CfH0cdM9F1D34qiLeomE5HbJppn5/Jget2y/iQLN9WIPVHYe8kfXRPK9mPipDbiJCjLTHE13G34sh4mC9KgWiZiwUTpf3owY1RGr9JAz3nCIwd2hHtmqceiHpqxsrU+eQaBfA8Dx07pAz11GkfoLKyCmLNV157EwCQn5+P4uKOZhasPIr8uskxMefdAVo0ysdPj+mCWbcdi8X3nYRbRvfE4S1S8q2t9/HOws0Y+/Rn6HjzVFz36lf4Yt1uPZMkw85AJj6DAUkkx0PhIlEgyfmU9Pyk5jdigFU4FmNPoq+fazlyRSpkns8KQ1BF+JE0PDljJf7xReplEak8uvzCCxWPWQGpr3aXsyAvBz89pguA1OPy7y3mPXAx3L3ogh8BADZt3oILL70C8+Z/iYqKSqxaXY5rbrgdn839HABwwXnnoGmTJgQe2YIMwZN/xgnXw9A1vEJz3fm8rIc+7ZvhoXP7Y83Dp+Kd60Zg7JCOaJhOz+zYX40nZ6zE0Ptn4Ih7p+N/PvgWW/dXGfRWuczyP33PyqaYvqJ4cPw0z4b+MvI9lCtwBvl7z8G+SJs8tCQPaefTQJ8dxJdkpKok8conukDExA8Vvwzz1+zCMQ9/iKraehQ1LcDnd5+gSLvoeKTyoSvT3xYUMcjA49i85yC63PYuqmvrcXK/tph2/Uim3OMw79mzFyeNPjd8+bUKWrc6DNP+/Xr6xEZ9hpgfayqYM87yQVGeopaJrsvEMo2Tuu6uimr8de56TC4rx9zV/EmW+bk5GN2/LSaMKMGYAe3QIC+XwEMwh1Id59aVmDzyeSAoRJWUlxTRob9OkGIbKPOap22/URoPv6+qDs3wSKWCfUTAp44XF52mjCHf7hAbdRPTmQ6+GvT70ak8ZmrUVRR8Qi116bi/zMPLc9bC84BF956MPu3F94xGuLfv2IlfXHsrZpV9JuE5ZuRw/OF/foOiotZK/nkVjGMcbIsENFfijDXVCMaDpRv3YnJZOV6esxabhJuoRU0LcOGwThg/ogRHdGph5NH9Pac2yG6/RVqm3Hm2jbr7u16pIOMXQe6bWJoUj4kZddqLp8WVLGLadbWk1su8zPeBsc/MwT/S2xdvG9MLD56jS7sIfQk9n+SNeqo25c3oMsxbswtHPzgTAPCz47riqYuPsPKxa9duLFm6HOvWr0fnkk7o07snWrRobmwXz6ibjYzSmUxT0ONIwlPPlFZqvGrrffxn8RZMLivHv7/ahKrgJmoajujUAuNHlODCYZ1Q1LRAwgAges8p4yDZaOvBV/90wukm7+/KU3d5GE6N0xxJ2272qkUq4Aj+cE5vjOiTmyiJGHWZWY7hoIaRFkXgIoJkUhts+RPTV2jfMyobGGbFZSrIqQdp5hDLVBDPCI767UcoW7kDjQvysPaRU9Ovv0tiEvmKb1QZUIxsUiEzlZ6JDx0ONT0xutp5oBqvpdMz4h73/NwcjBnYDhNKS3DqgHbIz80h8JuhUfeZX0q9JeAw8iIs+saog/1xaI26el6raAVlwpw3gPk9oi4vntbrNM32mK4DXm1FZNTlV0BFK4dS/MaQJGovH5JvVxoXo86mhQL4fM1ujHr4Q1RzefRCuS8W20yfHJmCedKw8Pq89bjoz3MBAL8bOwC/PLkHsjaJJBnQxiL5sdbzaKPFTlgxwqThkI06C4s37MPksjV4ec5abNlbxZW1aVqAi47uhPGlndNHKQdmxy2yU4PGqMPeH7Y9VQaqNlyL79qoa2UAHodwPfypsHNiRZM9yCStGn/eyWUGo64XVogyq0bdBGajvruiBsMemMHk0UdEx+mqBk7nsBoH0eThuIRcepw676Gmrh497ngP63dVokvrxlj+4MnIDV+MfWg9o++DUZd5tNVjajjwy6kZ5xKmvtTW+3h30WZMKivHOws3RXvc0zC4uAXGj+iMC4Z1DE/fZDhT0LXBd2HU5XZcC2s3suhkZGrUVXWV+MxGXVnK0dYZHLOuCtwo2wOsUffYarJR5/giD5zJUOs7ZgcZf/DN94HznpkTbl9M5dH7y/UlJRE48XWD6MKnimcbmPEHpQ+9sxx3vbUEAPDmVUfjrEEdNO2zYTBVs0PHt67fmhlmLXPlMaiXssKZ7Z7Qgczn9v1VqfTMrDX4Yu1urqxBXg5OG9geE0qLMXpAO+TlUE7r4FYRJX9yDbtBV4O7UReb6jG46mOqnn5O2mRgAp0OCNRjLnriT1/CoaYtn5gpglkPvNqKrT4/H0RhBRwxiBKbGHGNpWbyAnhi+krcwOXRjxGO0xUWK5PdMBiKeODqjenpbd9fjZJbpuFgTR2O612E6Tceo2mTLS+Ywm8c75MCbtGEz6zg5klFHGtJb8z9XLh+DyaXleOVOWuxdR+fnmnbrAAXH12M8aWd0b9DMwNBRx6NfGVi0BkcgrOnROWL0yieUQ//WYw6HUQ+DAbe6GWbGkCKHvhIQ704Bgd6h8cSSw63gR4oRt2XRkWB3HFwSDh8jWHV4fcxf80ujHr4IyGPrtqPblqIYk50EiRl5FJ8TJz8Bf730zUAgC9/fRKTs9XRzLZRP1RANOrhhPKZekEdR2/LWR9lqKmrx7R0embqws2oqePTM0M6t8T40hJcMKwTDmscpGdcdJXKSxKLryhjPSRm1JX1dGWukaOpDbW9ApejUfeY2uz+OJd0pldXsVXYW6fy1D2FsxDHYyCuuKInRPCMdldUYyiTR//XtaUYrdyPrqOj64851HEDm3doo8Pz+NW6PRh833QAwGUjO+PP4wdb29hp6wxmUD8p/nXgwGPwh5soMg5fSKbaQ1vXMXaXwbZ9VXjls3WYUlaOBcERBGkoyMvB6T9ojwmlJTi5f9tUpBnLS43jqevaKdrYDHowLqR5pqOrqpvJnGRlR5Sjs6cu49Sle9U3nH3A9zSk7Ppp2KcuGD/2im0Spf+ojAF1IjLVVGzz9Xxg7DOzozz6qb3wwDn9CHlWFR9UiPpDa2kaDLNx1a/SPk589BN8uHwbCvNzsfqRU1HUpEGGk8hk1KMa/CWiEbAunDb5KPSMq6Ge7GxO3Yhe/dMA9n6bZZWqu2DdHkyeVY5X567DNiE90755w3R6phh9Dm+mnzNpO8BTcI1GTO1kvTCBfuGMa9RtwM9t2omrqUSHjQP3nLqCL3YBNJgC6rphWuIsDx9RQghDPYAxrIJSGIy60hxoDRW/H31kj9b44MZR4XG6bjy6AW0LkyxPu5LoDKtM5a0vN+DcP80BADxwTj/cdmqvDMNdVUiIcAg5ZaLyb13A+et6+ZiMeuaGiEVh1gaCR2mVlexgVNfWY+qizZhcVo53F2+R0jNDu7TEhNISnD+sE1o2asDhoI+NzCt5a6izQVdZr2wZ9RQ++u4RgXpG+m7nK/hHipE86QpMYy22oxl1KMIEwVhzBNOXTZ66y4QF9EZ9XvpclyCPPv+u9H50kyFheBTDIRG/CaRV3rDwsDzQ8tU2Tz1VXlfvo+cd72HNjgp0bFmIFb8djXzuxnCGRt1TYMh4UdJ58ao95ep2ck90YyY/Da0Fo1GnTmRHRyioK0ylrfuq8PKctZgyey0Wrd/DUWiYn4szftAeE0aU4Id92yA3nZ4Jh0xpFPS8uuqjEbh+6saZx6kuiwO0OaP8pbRvVH1XIdHQVYw1R1dCL1fWHslMM+oRQ+LEcHuhhG0yQyr35UuCgfGU57qczLxn1OwduoDGc2F59LJj1NV88GWPvfctbnljEQDgtSuHYeyQjkJ9HU6KclIgCaPOlNiMurAoRzVMBkNBSyEOTzGJeB5E/JrrAY8SBrMMVBP2y7W7MbkslZ7Zsb+aKzu8RUNccnQxxo8oQe924jlAtkmaqT4yJZIToOqnqz66Gv04i4hg3zh90gFVz9zHmmTUgz+sY8ryTj37RWRCO/ZqNiVcLrQ4bMEK6nuKc136g0+J0Ce5dd+6Ap+00IV/uC8SJvrOEpWseByeB+yqqEHJLdNwoKoWI7q3wse3HkfAZ6Kroy2Wmfl2NuqCd0t+wtloSMyg5jETD5MaTRiMpGayV9XV452FmzBpVjneW7wFtfV8xaO7HobxpSU4b2hHtGgkPtykpCTRo+ujuji4v8fPGc7bMeCze9X2c4hs9sVQX8m/jj++LckZUVFXWV+GjIoPpXZm36hnGmLp83eBwJ6YvjLMox/TszXevzG1Hz16qou66tv7pjXqxgGxy1GOdigLoMBvWgmvemkBnv0o9f7SuXeegCNLWmrp6+klBWoes2bUw7o6/ASdtvLobtTFX2aj7qaPm/ccxCtz1mHK7HIs3rCXw1SYn4uzBh2O8aUlOLFPOj2jBJsMTGBxkkKUVMdBpBvXqMcB6php2lH1VoeFZHu01KWylFHnFlK30Cs+0LwBn/2SVrpUHp3dj35iKo9uwKOnr6gnORauMonp6RCBixDSMlm6cR8G3vM+fB+4ZHgxJl82RMOHzctOClwOJxJaEjweKUqSvAy7j6OSo914u3nx8rJsWzSo+hjVm79mFyaXleO1ueux8wCfnunYshCXDE893NSzLfsyFHVEQTPqFD1W9YfqaJnKk5h35vms5jjOnKZHjuEQW8Zaxq+IB/XHBKjIqhhW16FtK6JN8rDYS53rMuT+GVi9PZVHf+e6ETi5X1tNA/BHnWoNtYo228CmbDq8KnAz7MFLFSQSvhwZjH78U7y/ZAsK8nKw+uFT0bZZAYGfbEHkxZgdBk2bsLpaz+xGXY+fXWxUclS3C57zU0GSkQDVYMr1qmp9/GvBRkwqK8f7S/j0jOcBw7u2wvgRJRg7pAOaF0YvQ8+eUXdbAM2Gkyofqk0xjJmxVpyFIxNnzmbUA/yM9Taf0ugKYugYrhciAQUdu1Ci89FT+9FvH9MbD2jPR4+fHgmJcfxmoixq/nhaTFtfpV48btmGeZi6cDPOeGIWAODXZ/bB3Wf0ceAnabBNaGo7gsGEo1E3hLs6HObtq3F4zNSom3AAm/ZU4qXZqd0zSzfK6ZlzBqfSMyf0KWKesgVo6Y1keKQbdRf6LsZU7azFM+omSGIRpMvKwagrPEYlRMocnF0QPfrKtNeGyyoeUmW6PLoeh8lTdwEXT13XxtQ2zZwvXPHcPPV630ffO/+Db7fuR7vmDbH6t6OJr1rT8CN9d8UhNk/OUw+/+Ta9ldvRjLosA/qLTfgJqubR0agr5SjKWD0X5q5OpWf+Onc9dlXw6ZniwxrhkuHFuLS0GD3aNIFL3t+JRwmHrUxETAUDfskM6ee1XusPgaeunTOm8WA99SCnDoriiURETjQlGjS0cDQF89bstOTR3QTnZqriDhBBaZg0AFvDlLryuYq8HNkHsaZcPhQXH11M5FU31nGjkmzk1Hn8Zn4UjgTZqJvC3Uy8VFOZ2WD6khwZr5K4aBysqcPbCzZhUtkafLB0K+qE9Expt1aYMKIEPz6yI5oV5hn6pnGeIPLI1dBcE3GrgDrnLA4Aw4aaRwotFx7p0ZcvfjHKkcUvy9DJqEf0KIPDeyoSOBj1VB59uiWPzk9Y+QGMyGoazZQ0ZnSDHutJUYY9brgsK45uEu2trEHJrdOwt7IGQzu3xJxfnWBGJPAm/rIvfPqJkfzuF00jsrGwG3V9v+P0Mw6Pcpkav6uMefobdlfipdnlmFK2Fss27+PKGjXIxY+O7IDxw4txbK8i5Hjq0y1p89oEFKNOlbGdDsevx361jY0bj0Y7arE/LBlbP3Xnt3t1lVt9EjNgFZ4uBO0TaEQljPLoqf3o+jy6afB9sZreF4vlHdqehNTwGNRQGPWIfxGXTYGA61/7Ck9MXwEA+PS24zC822GGPvG8qX6Zp893adR1Jpg2TmHLTI16+o/5KcY4Xqpdp03PV1Dxz165E1PKyvH6/PXYXVHD1Shp1QiXHl2McSNK0K2osZq2QCabRj2T81e4sZeMumrhjcejUd+pRh0w3CdK8Wo06gp0EsPqMpGQcMXAPTXHyKYT1Hl0ngd5gum55cx9+kLUjGrUmZI4Rl2oIhwo6KC6Uc1vt+5H3zv/g3rfx/lDO+KVnw4z1hf547+5Ggs5Qou7b9d9gbWDOLHVxlu3KFDpm/pJ86Spcgz7Y9UXuzGqrKnD2ws2YlLZWsz4Wk7PjOrRGuNLS3DukR3QtGEez6VxzOIubFSPWb8Uq+RodjLiLL6pehnZHgWYDiSMeJEbEx8+Ylmxgf2sDY//w+Dna4nnuoTvGbUtLKYx1rPN1KcvXGGJ0lBTjTozOKpIIoYXdsYTszB14Wbk5+ZgxUOnoEPLQjfv0xbxKHEI5dI42IydavwIE1VrnGVaYgiu9iod+2mh63ajVFFmk2Pg/TEOp6dtIyNW6eP6XZV4cXY5ppSV45st+7lWjQvycO6RHTChtBjH9CyK+qacQw79dJaxIw6lTFzHOku2R0WJ03/LnGGv1lVui+fyKMEQljFsqBWNb7S7olbIo5cyeXRduOTSlWSikeAyZyuoRl3nMWhCNL3sZPhg6Vac8vtPAAC3j+mF+8/uR8RB5JHnSlMmQtyJLo61whiJaAihr1skwPJB0RdTVGbDEcOgKXQmibH2faBs5Y50emYD9lby6ZkurRvj0uHFGFdajC6tGyv4TMqoU+dkEvrIllOiCd3iYKPL0FaNn9Go6/uZFaMOqA27rF9qxnwf+PHTc/DWl8F+9F6G/eh6PJmBm2EPoxPOa9QYdakuwag7euu+Dwy8530s3bgXRU0LsPrh0SjMF7c3WrxgTQ01bYrck1oYeB5FDCagRVQUPkSe1O3VepEJ6B0ZMy2XsVaPU0V1Pd76cgMmzSrHzGXbUM8I0/OAY3sWYXxpMX50ZAc0KchX4jA7YjY9YMc+jpcdp56uXSZ2RmP3BLTms4j0ZUL6xaZ2LgNAaKbBIe9HH2XIoysRGxhgrvhQ5r9q6+rw/Asv4oPpH6O6uhq9enbHpRefj4ED+prxK8NPl7puRt22R/vZj1bhqpe+BAA8P34wfjKys4xU5CurQDHq0NQR69PDUalMuxKY5SEvcvb5olV9AbF8XDUFv8idCJT26napOTBFOwfW7qzAi7PXYkpZOVZs5dMzTQry8OMhHTG+tASjerTKoE8sf9TnBOIsnXzEAw/wfZ97KEvG72Zo1Th4HkSjHlQzWRL+VNG0i+iWU9fVSy6UlM91YfPoVFwqsIU5EVx1zS14+9/vcteaNG6MV158DoMHDTTjt/JDkBWBR8rTlAeqalFyyzTsqqjGDzo1xxd3n2inLZW5GntTuySNugmS00fVL30kpuKE8WYBSE8PQ45qM3+yO3O46pqbSXPA94FPV2zD5LK1eGP+euw7WMu16VYUpGdKUNKqEeL2ifZCGnupDjv7VVyK+eHKnlEHIN3z0bVQcBhCjoW6jnY88JmPAnZX1ODCZ+eiurYeOZ6HKZcPYR4wohDW1fG1xaKxXLb821CZb7j2Z3j+2ccxeNBA7D9wAM/+ebICL9MhF9lYbAurSKpJ7kllsnAbF+ThslGdAQBfrduDj77ZnhCDQjXfcIGEJo5S+bAqlAsaCx+e8N8RMYPIk7Bo1mQ9jqyCj2XLvyHPgWBXzPPjB2PD78Zg8mVDcHzv1N52AFi57QDueftrdL/9PZz02Cd4aXY5DlTVSlRtEBguN5Mt6ghNXwIP3YNquL6LMeHBRl332JgSDe/ky8GoGpiVy4tWIhGH7wOXT/ocq7cfAADcempPzUFdZh4jnJqUS0Rcyf2SpcsAAN27dcGNN1wFAGh12GE4Z+w4zJ33uQqbxi/Uy4ckR0832aO+6bdORRxddXxXPP7+t6ir9/HE9BU4tmdrTRtRZuax3bt3H15+9e+Y89l8bN22DQ0bNsTQIYMw+uQTMCjw5LixpgBlspiDUVp7eezklrIOJdsPHrHesIv4dD6bKdqhcp6qr54DLXHO2PHCHOBbNirIwyXDi3HJ8GKs2VGJF8vKMWV2OVZtO4B638fMZdswc9k2XP3KAowd0hHjR5RgRLdW2khTBP0LTPR9MZer5x0ATerl0INbnwHApxr1sH74z63LMmMijidmrAhvjB7TszXuOasv105/BrmKRSH3pkpnaNq3btUKALBv/37U1tUhLzcX6zek+CosbCjTExEbheNL/+hy9ITvgjyZ+cvW7NyqEc74QXu89eVGvL1gE9Zsr0Dn1o0MNFJc8efS8wvlosVf46c/vwHr1m/kWs+b/yWeeW4Sbvrl1bjmqokRb4R+0s9VCTDSdUIGuz5G9SDV5cvUvIXfXO1q0FYznjpacg9MZWZodRgzB2rrkJeXiw0bNgFQzQG1Tndu1Qh3ndEHd57eGx9/ux2TZ5Xj759vwP6qWuw7WIsXPl2DFz5dg+5tmmBcaTEuHV6M4sMaww7UVFq6BiE6p9O07UVPdiGIiy3KqUvjLgvP+QlBEw4gXKHV+9Ebhe2Wfr0c8z//ytiRI37QDwMH9FP6NDNmfoK3//0uVqxcjYYNG6Jb1864+MIfY+AAeUdNZWUl+g8ahaqqKnTtUoLevXtgxsxPcPBgFS664Md45KFfh3zZXuSh86rcT+6TcUhXWJxC04++2Y4TfvcxAODGk3vgkbEDFPhlIxfhi+rV1dXhpNE/wrcrUi/kKCpqjaOPGoJdO3ehbM481NenXpY8+YWncMJxo5g+svT0UZTesMq1k5Cj+0mPNoisGydDggw4LOJ4Ati7bx9efi0dHW3dhsKGDTEkHR2l8twmg5cqu2TCz7F58xbcfefNOGbkcCXvFRUHMWAwZQ5EbShjsa+qFm9+vgGTy9bi42+2cW1yPA/H9y7ChBElOHtQBzRqQD2ITjfWMl88f2oe+esyrWTeEpWETrNzhh937pgAtVfAeMsSWzQFVXncAdP6/egR7oce+QOeevovRgoXnHcOHn34XonH+x58FM89P0XmyPPw8G/uxkUXnCuVzfzwU0z82Q2oqqoKr/Xv1wevvvgsWrZsCXbFVvY2caPuGM7LHGHwfR/gq3V70LJRPsofORWNC/KM+HVj/dY/38HV198GACgdPgyvTHkOubmpWzMzPvwEEy6/Gr7vY9ARA/Cvf7ycYX/ME+bQGHWdl0tJe6iALgOf+bJo8de48io5OgKAnJwc3PzLq3HNLyZCFYUEdLds2Yojj07dLH/uT/+DMaf+UMv3jA8/xRXKOfAcWrZsIbWhjAXL1ertB/Bi2Vq8OHttmHINoHlhfpieGd5V3D2jwsb3U8dXxJu6rnzdhR61vtiGkY+SV0q0yEfSfPqF8S60B2IpGRNwpKtTDqW6fNJ8Sx7dw8ZNmwEAubk5KCgoUOJq0CBfuvblgkV4/oWXAAB5ebk44bhR2LNnLz6b9wV838c99z+CkaVHobi4I/dk4vHHjcSsD6eibM5cbNq0BT17dsPxx41EXm6uQg6HDuihpHzxmhO6YeLkL7CrogYvzVmHK4/tQiAoo5ozN8qpPnjvHaFBB4ATjx+FkaVH4ZNZc7Bo8dIwfaXjSQ/JhrHxIJPUhqMHqJkzwayrq6/Hdb+8PTToRUWtMfyoIdi5axfKZqeio4cf/SP69e2F448fpZXeH558TlMiUgROOG4kZn34DjMHuuP440Yx45kZdGndODzz/6Pl2zCprBxvfrERB6pqsaeyBs9/shrPf7IaPds2wbjSElw6vAQdW7psmlD0TpuJMEE25zvjLMcm4wv/IXjqAoiei/X9n75CjUMc8sr5xIwVuOG1hQBU+9EjGueePwGfzf0c55x9Gp74/UPQT7DoV21dHU474wIs/Xo5mjVrivenvYEOh7cHAEx56XXccdcDAIBRI47Gqy8953zeiNu5Nnz7uJ46dZxUcLCmDiW3TMX2/dXoe3gzLLznJOZmkMJT1/B4wSUT8emsz9DqsJZYMP8jiY8HfvM/eObPkwAAsz6cipKSTgpuKJGdCQ6Fp27CQQ3XTWCbMxH8459TcQ0THb364p/Ti6mPGTM/wXgmOno7HR15AKqqqrB9x06sWLkar/31H/jXO++FONWeuobHiDNtHVdPXYVt38E6/P3z9ZhcVo5Pvt3O4czN8XBCnzaYUFqCswa1VzxIJ2Ll+XJ/epjKtQ7o0RptXtN5zNEGFQre47/0lVmR0ijml+/CrW8sBgAUNS3AS1cM1T5gtCntqXftUqJF7/u8cBYuXIKlXy8HAFz988tDgw4Al148Ft27pTzVsjlzUVFxUMNz8HEAiojkdSs2UG/6NMzPxRXHpPq8dONeTP96K0x9k7dMAoCPfftSUVXr1q2EBql/ucxLOSoqK2nMSXAIoyFpLGKMuRZ8w8fCD7zwx2dsdHQfGx15OCEdHQEIo6MAxS2334ejRpyCi8f9jDPomYPcD4+g0x7Mqt+0YR4mjOiMmTcfi+UPjsadp/dJ720H6up9vL9kCy7+81x0vGkqfv7Sl5izaqeVU3l+iLx/F5G3RnYsZGAb+H3qXoqAyVDQX3eV+gTGls0PyvvRhypeHJ2C+vp6bNy0BQDQrWsXiCuUNEXSFxYv/jq8dPppp/B98DyMH3cBAKCurh5Lvl5G6BMNPMU3ValajJ7wEUo9+aMGtfH4+fFdkZ82CH9MH81LMexsvWuuuhx33Ho9fnbFBCWra9asC7+zC6mAGXatzfZk85i/CD1mTmpaFszjZAMJrQXVmvK1AFLbCnt07yo17te3NwCgtrYOG9dvcuYnCeC3KpuBYkO6FTXGvWf1xYqHRuP9X47ExUcXhzdPd1fU4LmPVmPEQx+i313v45F3v8GG3aIDwcxE4zyRuZN/xxlrN73wBBKZ+Ht58NMIjOFJJpDOOTIL48TJ7H70Xuk8unoGbd++A7W1qYcVtJ66AhYtSRn1Jo0bo1PHw6Xynt27RXUXLcWQwUek2PMBTxKKKm8qA01yUSqK3splTPTGsEOLQpwz+HC8Pm89pi3aghVb96N7myaa2uqwb/QpJ4aXRUobNm7Ghx9/CgDo0rkEzZo1tfBqC4Vpcs8UwhFhSGdO2Rxam/HzJdroKA1ydJTq0UMP3Il7774lLJs1ey6uvOpGBS+6tKoZ2B0WhAxgWDf6b1+4czzghD5tcHzvNnjioh/gjc83YMqscsxauQO+DyzbvA+3/30x7vzHEpzUtw0mlHbGmUe0R8P8XIg6TDsALknQpU7UdcPXfmbISh59MACrMSKMk3o/uh6Cm6QAUFhYiP95/E9YuGgp8vLzMPTII3DcsSPQs0d3qd23364EAHTo0F54kCDFZPvD24VXtm/fYWaaArEHIq75cF0YUnDtid3x+rz1qPd9PDljJR6/4AcWHJpB9XiVPVhZhcuuuBYHDlQAAMZdch6Zp0wh4+dEPMBTLFKHYD2R5Kh6YcM1V12OVavLUVSkfnBMFx01alSIRo2iCLhF8+ZGVlLPCrh3WpZ/dgTXrGE+LhvRGZeP7Ixvtx7AlLJyvDi7HOt2VqKu3sd7i7fgvcVb0LJRA5w/LHX2zLAuh0UIaOtIBhBvTirRWJsHleQO5cUz6CLlCLnnsSuiF10DMH/NLtz6d1oePYCNGyOjfu5547F9R5RHe/e96XjokT/g8UcfwFlnjuHaBcZF97BEy+bNwiuVB6uEOqoQTHGJEYEnFepApVWUMFBXL7hO8/iHdzsMQzu3xLw1uzC5bC3uO6svmhU2sLYzzYa62jpcc/2t4ZOIRw07EuMvvYBpY+pLHOVP8ZPVh/6sXpxtzPQ86kaLf3owwh9GRwrYsHGjJjqiWjDavFanA9W9oIMZP3cvToAebZrg/rP74d6z+mLG11sxqawcb32xEZU1ddhVUY1nPlyFZz5chb6HN8P40hJcfHQntGveMM23ipe4+pjpnEyyZQqIZ79E4Yt+14eo0JFBB4A9Qh59Mneuix5YT337jp04vH07nHD8KLRr1wYAUFtbi2tuuB2z58zl2lVWpm5+NsiXtzqm+Ir4ZffiOoFS8gSDTroHq5psQvNYXoeHa05MRTZ7K2swuWwtuZ3qU11dg5/+/Jd49z8zAAC9e/XApOefFLaY6vsS33UiLLyJgOviamubHKeVlZW47IrrDNGRLR/sK7+qcVAg7gIdl7fUQ0sn9W2LlyYOw4bHTsOz4wajtFuUplq6cS9ufWMROt8yDWf8sQx//3wDqmrrDbRd9DHGnAxMgFSPX8Boy7G6lvuBXkqG7PXjnuvCGvWbfvkLzC37D6a88CfMnz0d1/ziijR+H8/8eTK3AldVpwx1kC0UwfOirgc5ezVQJ6aL8jPgatOEBSGOYR87pGPotTw1YyV3LrYLHDxYhZ9ccS3+88FMAEBJSSe8PPkZNG2qytObaGRi2GPKnYA5HqgMu+qjo0ijXFtbi2uuv00RHcUAZ/FT+5QAOPDWvDAfE0d1wSe3HYel95+M28b0Cve219b7mLZoM85/9jN0vGkqrnllAeav2ZUcjw5z0jfVI1p1UzW3s1+IEKRgAiPL5tFH9WiNX59pzqOnIBWEjD7lRBQVtUaTxo1wyUVjuRq33nQtPpj+Eb5e9g1mfvgpdu7aHT7tlpuTunmUk6Net4LH2QH1g0sUiDIwch7UCYkWeE+ApuBi2M3ylfreIC8HVx7bFfe+vRTfbt2PdxdtxpiB7RR49HCgogITLr8as+fMAwD069sbL01+GkWtW4H1ITyyWBhPxU83IcpG5pmaemDqefxVNS2XlEYGOpFGIWVo06iqq6vxs1/cFC6mqejoCUV0RKQdi0VaVJIIDmWWxjwOvdo1wYPn9MN9Z/XD9K+3YtKsNfjngk04WFOHnQeq8aeZq/CnmavQv0MzjC/tjIuOihydWOAy3Om6yuMKtHj0uifOtVieuhotTzBgeN4afj/6y1cMQ34OdWOkj2FDBuHnP52ASy8+T5nDO+WHx6fq+j7WrVsfXi8oSOWJdUa9pqaGqat+SpUCch7UmlehgR+Fc74zStZzCg7n4nm88tguKMhLb2+csZIlm/742vCusvIgxk34eWjQhx89FG+89gJat2rF8+sTpKHpp7CcyY2Cb9a0gU3TmFShsjbLiaknujBeL0c18GE4e9WHPTpSjbV+BGizUMZhHhMaOOIwDCWrP2KKODfHw8n92uKVnw7DhkfH4E+XDMLRXaObp4s37MXNf1uIklum4cwnZuPNLzaiurZexA6zHBkebeClu2JYv/RdNQsh4C4ho64mLu5Hn3zZEHRo0ZDhSy8FKbzQyLNTp47h940bt4TfA0NdV1unbFfNGPWGsY26W8hsxsPgCAYo47UhOm1RRNW2WQHGDk3J7oOlW/D1pn3kxePm23+Nz+Z9AQA49ZST8NKkp9GkiW5rpBlnJv00hrHOYE4lmKNivR6wpj1TOHCgApf+5Cp89PEsAKno6K03pqBt2yLJlNPBdG/CjMl8j40GVhyeYXYZHB5fYThaNMrHlcd2wazbj8Pi+36IW0b3wuEtUt55bb2PdxZuwtin56Djze/gulcX4Iu1u2mdUPJosgmWtJXVnJgrpIw6cWD0L2aQQcyj3xbsR3eMCG32Pz8/yiDl5OYiiAHatCkCAOzavVvZbtu26IURTYQcMN3QxJtGIehkESgJQVbiin/wYBUefvSP4c1f08sFrjkhdcPU94EnwoeReBCN0eIlX+Otf04FAIwoHYann/odGjSw7J4x9IPaTyNeqb2Dd5UpKXK7zBb+ysqDGPeTq/jo6K8vpNNdmbkVkY5kKS8OKL0zl5Fxlb/qwTkW+rRviofO7Y81D4/BO9eNwNghHdN724Ed+6vx5IyVGHr/dAy6dzoef38Ftu6zb6bgx9rVNrhFc6axygnQmUUdIbBvI0tVEPPod5/Zx3Kgjmqt83DdL3+FK37+Szzx1PNKatu3R1sc26d3xHjw0K9PLwDAzp27lO1WrloTfu/Tq0f0hGaaDbrqxRg0YlYgDNMo9dPQsGEBli9fgdPOuhBfL/smjUrdeEjnlhjRPWUUXpqzDrsqaqx0PpiROsLX8zw8+YeHkZebq3qZj9gVY2HQTxseEaM80XVGXDTyuo+Za5rRk/U6CWN5y+33YG4QHY0+KZVyMUVHRp5UNdx5lJ9qVstfvuoTuCLIX/SQ0/pD3+rqIzcHGN2/LV67chjWPzoGT148iNvbvnD9Htz4+kIU3zwNZz85G299yaZndDxmy6Dz8VigWdz8AZDns/Rts0+Z6fOEOkEefREAoE3TArxyxTDk51LWWrns40/KsG37Dmzbtj19tCgPn82dH35v3y7aUdM3MOq7dmNN+Vp0Fg6WWrhoafi9f//oxq04JMn4Li65WGoNJvns8S+1OPmHx+OmW+/GaWddiNtuvg4TL7sEOZrnAa45sTtmrdiBA1W1+N9P1+DGU3oYOS6bndo6mpeXh48+LuM5Ehodd0xp6ElSwS2MVZdykZYpfI/BTXbbBW2jF4b4ABYvWYa33maioycfdTgxNBveN8udCXz+ny9HZjx3dkdPskMeUjcISeCH84VhK6TSslE+fn5cF/z8uK5YsnEvppSV4+U5a7Fpz0HU1NXjX19twr++2oSipgW4cFgnjB9RgiM6tbDzaOMpVj3Rnka9cdz9YmPWx+6KWlz47Gfce0YPb6l6AIimbG3aFGHb9h1Y8NVibN26LZ1WSfGwdu0GzPgw9eDF4EEDuSfujjiif4qS7+P5F17CA/feHpZt27Ydr73+JgDg8Pbt0LpVS21vrZCx5Q8QmCMkwOd++r6P5ctXYM7cz7Fx42Zs3LwFW7duR35+Pgobpu4RVFdX474Hf4cZH36M3z/6YBjJsHDO4MPRsWUh1u+qxJ9mrsT1P+yOXMMDYZvS5/DU1NTg+ht/ZezZY4/ch/N/fLaxjq2fzqDyO1RkYoPLhGWZsBHX45w+46MUZSY6Soqz7IC+vz5cjLCqtQ10Cw7zm92ap4F+hzfDwz8egAd/1A//WbwFk8rK8e+vNqGqth7b9lXhj9NX4I/TV+CITi0wfkQJLhzWCUVNqffmxOUkCYhw5YWaEAs/30g8H/22Mb3ww37twAtYDE08RVl07awzTsWSpctQW1uLCROvwW8fvAvdunXBV18txs233xvuYrnwfP5lF51LOmHUiKPxyaw5eO31NzFwQF+cesqJ+GLBQjzx1POoqEgdAHT1VbL3TwrfWEdZkp/K4zAvhnZI4ThQUYFXX3sTf/3bWygqao1jRw3H4EEDMaZdW7Rt2wbVVVW454HfcS0/nfUZThr9Izz0wJ048/TRHN28HA8/P64rfvWPJVizowL/+moTzh4knpUTdXDfvn0EXlUtKbXcZ7tK9OK0Dg+biqXnqkYsryaEKr2nSYOFsnQeXRUdiXCsFB1l4nXo+pnZ0qF3X3S8Guix89CEI6znRfcGCbzm5XgYM7Adxgxshx37q/Ha3NTRwJ+Xp9K6C9btxoLXduPWNxZhzIB2GF9aglMHtA0PzjOD610FUZ/UPfBqK7f6vLI7WDT2ip86+e+Xf02dj35szyL8hzsf3Y/+cgulbmVNXd+zZy9OP/tCrF6jf/LxhONH4flnHg9v2AWpiOXfrMCZ51wcGnARRgwfhldf+jO3VdJ8joXPffWZKp6yvghpGbDRozXlFcHsOfPwq18/iLPOOBXjLj4PLVq0EOSYevFH8GIQz/NwePt26NGjK3r26IYe3bvijNNHo0njxgil5AM7DlSj8y3TUFlTh+N6FWH6TaPIry6Ux5O/TsERXNGoqOIar0tUHunjpOLR1TBG7X2bvvsIX5KhgmNOON2o/yw89sh9OH/s2YoSD7PKPsP5F6ecGNp56joQ9DhIgUiOjazvOrC9gyDEw9LyBZFxeqCnLc4ZRQ0lfbZs8Ya9mFy2Bi/PWYste/mbqG2aFuCiozthfGlnDOzYjG/OjrWCXzMvLE+plKvqXkhevDVc7vS81btwW/pclzZNC/DSFcPU57qw+TUC8ebNm+HNv03GTbf+GjM//JR7aKigoACnnfpDPPbIfchPHwfA7tbo1aM7Jv/lKdx82z3h8aUBDBs6GI/97n7DW8PNzPnij7jOEKFtfX09Hv/jM/jokzK88Nwf0LmkmNvOF3Rh7vwvkZ+Xh//53f3o2aMbunfvkjbgLDAKlP7XqnEDXHhUJ7zw6Rp8uHwbvlq3BwM7NjfzJ0wocTw5NTX0keZ7aIAN+pSRkm+pl31QjRNfQVgAFbBv334Hih50RiKXSdvkx3zgTgmZOe40EmKAnyEuu2E3Q/8OzfC7sQPw0Ln98e6izZhUVo53Fm5GdW09tu6rwuPvr8Dj76/A4OJUeuaCYZ3QukkDfqxDfXSNVNmtyrJhD998ZH4zCMuJWM/H7ooaDLl/Rvie0anXlabTLur2Vs9F4iNVtmnzFny1YDF27tmD7l274Igf9Et75xEOSSw+UFtbgyVLl2PV6nLk5+eje7fO6NO7J/H9hZo+KFimtqd76qlzaa654Xa0bnUY7vv17chLH7NK9VJtEIzFwvV7MOje6QCAn4zsjD+PGyzwKCid6CVp+mIba7s/HMdTV9QlOhEUL422OhCjCYUctVwZ5yjjNlu9z0xBoccSCcZbZtnTgPvbwpgayojQl8uNtNhKFB1gytLe9/b91Xj1s3WYXFaOBcIe9wZ5OTh9YHuMH16MUwa2Q57n6fWRUy91JdbSSUa9tnKrbw9N9aGB7wM/fnp2uH3xjtN64/6z+xm4lXGoy0yCVeFgFEiBwUxLV08H+hdPmw27m1Gvra3FxCtvwOBBA3Ht1VdA5J+2ONLhxMc+wYfLtqEwPxerHz4VrZs00PNoMEb6PiVl1FMt5bE2L8TcVe0YuBpMk66YeHQz6kFTuZ8qfpI06qoZlaxR9/g/SvrGOcMOj4JPC2UBkYuceKPOklu0YQ8ml5XjlTnrpD3u7Zo3xEVHdcL40hL075BKz0hpIqOjQjXqoK+WbL0/fLACv/zrVwCAo7oclnrPqHCTgHYIv4tRJwy+cZFKAnzLuwVVdHUKqq53/wO/Q4MG+bjl5usd3yxOLePpvvXlBlz0XGrL4l2n98FtY3pFtRQsmqYM+V2vRo507YO2esXWtQAUEyhNhj6JkuAxCaPOt6Q5NC5gilTMRl2ys5p+UiOQzN5Hmy0wj6HnATV19Zi2aDMmzSrHu4u3SHUGdGiGcaUluOToYmn3jOndw1kz6nNX70LpQzMTekz7v8BCg91r0XTFB9hx5E/M7vx/4b/wX/g/D50OK8Tq354aXbA4GUDKsPMPO6W+5xgXSfCF7FNLuypqcNFzc/9r0LMETdZ8gr09T/mvQf8v/Bf+fwAXDOUfjqTMet6gI/yeJyPQoeMRzF+9C2OHdNTUVYEtz5dpnluFJ04bE12XFYyaapLxH9i9Ax9/4+PU844n4Nff74gHrviSpO+SC46brsv8fgqtjYtcXD0jW6rNNT2nqmeDbHhzLjpG7Y8rLRvtTOnyUF1Xj4+Xb8f5Qzsmljjy6iq3Ctxl0zMkTDZFfsq+MydTiGfUJdPM3WeJb9T+8ORzaNG8ufDSA/0NMfVNpMyMuj3vny2g5kiTuq+gq2eCGPd4YJKj2TjT88mmMvG6lPXW/LYBQ0faYqRbYHRwKI26iZ6JNtWZSmrRc+fR6ZRGHonq49BcQ9gHUv1I94VyYJCdLxOPvtw0Buibusvp3+/8B2eefoqSRz9c9JgbJR6fGtPTpfFBEwEFvzttRyaEeibcroObII9UihI+j/sHaXyVWACkT1U3dpmZZDTuGGTqccyG787hVxJIwtnIQE+1+DQkHJrIvNEgj8XnhUhsyXkbZwbPhbni2crYu+mcE6Di0efqcuDJtMT23FWzCIwQNeWR+NxPP01LJvLtilUoat0qfIOTikf4DL8WPn2uodiGZSqWFVXiF20RW48yhnZ9FPTFN8jBR7jdjHJ7gtdvlbZSeXQD1lzqfOeojmIOMv0U8dJ4pEUQ0pMgxkUjCeDlre4FMfoRGlv74iE6p4bYHX5smGiLyKkntrPOGRmivYckxySBtdgX/qvKQhAML4VHDV7qCyAy7qFGl6jIZ8z8BCedeAydXIhT9rzsLxBQIVS3UdXTylR0LpjvpBvrcdYX3bgzZTxteXKYVNNIOwmQiIsrMZ/MEMkrF1cleJoPnUX9BS97GyecBodp5kcfEn7hmr6ZLEOeRbVMI3yedFHrlzj2OTLqhHHN6iH6HB3XAqaKqo6nm8JyhBD+JgiSmgHU15OJlM2Zh5GlR9uJB7gNMslqKtwz4DddS4gfy/ofXvOUddRMmFnU60tmIMxoXYrF5/00pTef5elJQk9KEcWgrUzHuiDIRrPIe7E6vKQoUf4GuPc5PHqXDxn0IG+jiQ9SMEFGrbMa6TWSYGgC2jpyUbhkDnlYecghFrMue+IVkRPA932sWLkaPXp01dILCFAnGDvZw8UqqclPNezaehpmjHrgrnsBOkq3dfpt05d4wOhHYLQVjEqPuas40Y11wsDRVtCK+E+KuGVeRxxANcLSfVvuJzN31SLVoeUqq3saCCKF2KiDDG2xjv1pZxkUWxopwLbIbPCip01FPlifxJTHV7Ux8MSEVGwtQksDPdUvfQtfo4PrN2xCxw7tFYeMMTKQiNBHT6Hy5LbJgTh7RP9THGuFrmkHSTGKgYfnNLACjwqy7iMvgsIoizNaDP+5cvMS4zLWtCe+WRy8nEO9JDsMrrONrS8SMOkSnYbW2FpA93SyGZ1a331Bz+LuZHN8SYZ+RUwMQtS6ZdMJCQOawfWSIJnWaG0DmoKtWLEKPbt3I1OlLyMM7cSHTofQFgPFRMuWBV1yEYOVhwzybi44YuF1QSDqIyUp6Dq/4+iWSyc1iW5dVSlCYF1F3ZjIkUemYDUDTkjcmVLsfhHBQbBGYAxfegA89roTngzAMzgVQRmZnZhBuaYLa9dtQHGx6oEuJr3jw3I33OQJ25jy7XOADFS5mPjXl6mjFlfaRPC4f+pCQKKp1iMHvkJ9zKYzpYqCXWWXsLwdccnpKRaPg+7HAPrJnxadJtsee58Uu19EgxB989NEMxk+j/loIQhDVHsTCUDZpSOHz0xw5AEesZc+J2RP81FTFa9Fr+uz0JRichXOiCf6rqWkjQbff1l3dPRMGqIrU00W9TjIuyFkHsWdPWp90bhBEn4q6PRGohAHeRZwsGDS+3jA7lzRydQXzVVisrfx71pu0+n0N09Xk1VIcwcp71xiLLoCfxyQQgu+C6lJlfZOHUeIPTzezgRV+dS4InGQk4nGenv27kWLFs205QSWJFqRPOjtsuIP0vTRAZI1IBwoeUyAlrHv8fXw+wuqPlGdJc11m5UP67nRUwPFcNscuRi0SM31/UrdKM2QBxro0jgyolRo7cH3feGmoS0MFWnETI+k6QscWXBRQ2Qdj8DBg1Vo2FB8STfPksvyYe93vEjIDZ/MA98HUW5uPUwc2FSLNSISGgW/PI29id2tQI6a0D2EDPSdbeLpriWVJrXNIQtewf6ZX1lHxSvWFeR4KNWSoyXwAE0ZA4obpYeCc4uEgolFezUIc0346qyIFFBpvMgHddHhYeCAfmh1WEsNTZ+jDsUvKh09ZCIrPlXnkfCxbWxPch4a8FQ/fKi3vHGTi2jYEwGVwyHKzNeUiXU00vbBl7nbWxkCOYq0WBK66WMxF76BfojSaHbUzgf7JdJp7aqXAfBzIeyQpqrx+ZS6ym2G4YpGVvLBPJYoxeNjja7Ilcq74K+pXtChwm9+G4uNR5FX80C5vzhB4DFUQhc52sDX/rIrNtOOlSNprA3yV+kP09Q8NZI06jyP1Bd5qPgPW7roY8w5Qz1czf7SEHHw3caMCtp+6vQAalp6HbFFI8yCZbQHauoSZq2+JBnpBvzScJpsGy2n7syrGBLSPTbVteyf2e4LHw/2TkcvfI07lG7tRB6zQSNZBIHnxXHrgSbe7xFkon70JyHdx1ZsF+mjjpjGQCQ5FgZcvljG6IKqyKwjOiXSNJKqZ0MBMzdUVK7CqEZhFvLMfhKzIhoXR12hIqRJW2iP+CbgQ2PQddcsHhzEN4/YIFXXfRLReKytq8PzL0zBB9M/RnV1NXr17I5LLz4PAwf0C+sTHXVLhEOLZEIuA8NGoZsY0HlUg1n37WMYNaIdJMZyqhol3TX+t9tRHgYePYRPuYZVFRyEXPi6coYGoE+/pA07zSyQtViDy2DnyDjs7WJB+saZSQYBReW9BIB6njo1DIwmErf7xJe+sEjSLQIBpf77iup8E0K4q6rGl8rtJK9BDldlPNrgUQO6hZSY2tDweNU1N+Ptf7/LlTRp3BivvPgcBg8awOEgne4YYqdMIFn+LHsmmcZNv+ifhKTJkf7Enq/QfXpbdV11WoLnSQzJ5TfQu/fFxqOmiKoCRj50Y83MIQmHTvf5MVVh5cvpPrA+1aPDkWKa/mSunjaDzl5TOWw+Mf1ChlSMQ9sXbQmdsu6hayBOBOw8iEzcSWRGtR+XhWXLvw0N+g3X/gzPP/s4Bg8aiP0HDuDZP08Om+l5ORSgouVlMAkOHdA8Pl0duozNW/GyNSkMPHKXPc2HKSZQyqhCrLnpGr244uDLMj7NlipvDTgeE0CBYBcDs8IZV281k9IBWMbVy+frmlEbIZnUSJaNlAL9kqXLAADdu3XBjTdcBQBodVhLnDN2PObO+zxs5ivbx1FC3YDES3vEOSgu08Ug6gEtnHc/XImoG56qRPQQWR6jsmRfYesif1/+ZkwbRPXlKodyDpnG2raQZtv5oMyBKJUFT06CeJ6XlFHXMeI+UVUYzFdt+G08pMpdwv6ArPrlC6kfr7z2Bmpr6yy8paBb184YUXoUd233rj147oUXsWjxUmzfvgMdO3TA0KGDcOlF56FhYYHEY+tWhwEA9u3fj9q6OuTl5mLDhk0AgMLChiHPcnBKPSwtasF/N4ek32sfnGOfnqelI09/I+SJCUuK4rct9UAH3csddLXDv75cQjHaorPG084W+Mx/XZrG1v5QGHYTfXvtVE6dkAsDkOH2rEzAhD/KQ0m1yDxS+ecnqkwratuz3zBUVFRq8PAw9tyz8PtHHwjxr1u3EWPOugC7du2W6nbtUoJ3//06GjUq5PisrDyI/oNGoqqqCl27lKB37x6YMfMTHDxYhYsuOBePPPRrQ29YzuUyjyQrRf5XRBrLu42jS7SceljizCOdh0O5pTEu6LdC0uXI1TL2M7rM6ZjW/iRle0zRgCLq0GLTy96+pTQToNuvHKn8/ypkvQ9uEUejwkI0amT+BJCbm8Ph/9XdD4YGvVOnDjjrjFPDh5JWrS7HAw89JtErLGyI55/5PQoKCrBqdTmmTvsABw9WoX+/3rj9luuUPLLBvMoPjP6zHg4Ngqdfv7N7IzagpSeTocP+/65wJAKaezwMkNNBjn3J7CUZlGg++hZP3CKN707xE9r94uJdxc1R2XNhohFx49GWIxauKtDpQ0gZx/JvVmD06eejvr4O7/zzNfTv1xsA8M6093HlVTcCAH46cRx+ddsNyMnJxc5duzH2gp/gm29XwvM8/P31SRg2ZJDQHx+bN2/FrDlzsWnTFvTq2R3HHzcSebm5yj6w7eKD3iPT71gQ68eJmkw42HKXVJ2Nnoq2nT8+/eKij9FXHzpv1iQDCo90Tz2QpnwzV96VY/XUtSxS52AMOWpxqOrq5oXeBskjQR0nEw+q6+ayLNwoNUESxkNX5muHIXP8BOCUU7NApCdnbV0drr/xTtTU1ODKK8aHBh0AXnnt7wBSNzlvuO5nyMlJefGtDmuBa6/+Ka6+7lb4vo/pMz7mjHqgUm3btcGPzjo95CVSLpOCukwEHbhIPwkvJo6BTqKfYjt7nlW/2FPwp5qpX/Jh4t+NRypLqkSF+w1kxiCT2rIG3NURdAGVvlBwCMKRWDyU80L5RKnPfP5fAerAZDmESsd2Tz/7v1i0eCk6djgcN15/FVdl8eKvAQDHHzcSTRo35srOOO0UFLVuBQBYtGipA2Ff+dWlGQ0OVU7DFSw6/X1UdZFdoycrNvL5n1kBFR/ZNLiu+BkySlIOcvw/BpZ96oe6UyZBxhWyrY2IN/6A8q3UYdS3367E7//wNADgoQfu5HLrmzZvwY6duwAAfXr3lNrn5uaga9fOAICFi3mjHuz25jJODBc+VD1TLWJRysAuAYtnlVUb72m+B6AbR0WaKDmmtFzIlHT8+4p28Wiax1p3XVMvPZYe9/EMh+6xDSkQV1GSkmMmhjwpfU9GBvxLMtITOfuP5qtANKzUsoSo+yZD5iBsLXupEX/ksSdRU1ODo4YdieOPG8nV+ObbleH3jh07QKUl7du3BQDs3r0HtXX1yjrhlcBhE/XVEsqz488E2YqPC2TDuuv48KVfsk77XM3ktUrmQQa7HGX56yuG/STbJrcILv4IsrwHDyfaFuW4+NVglqNaX/zwR1ye4raLO79SbThPPewELIb9exdhJxhWS4Ooyzu7w7Ll3+K9/8wAAFx5xXiIRrLiQEVYt1B5rrqHls2bh78OHjwolUtfXWWgre+K6HugJD5j5AD105rZs+oa/CZCcplnKCM0p4FmwZNBtbC7GCH2pS2BYY+rJ26dJVMRnB86FdfUU6YKp28fGfV0SBVGEqSUWRLMZQIyfc9Vz4R21C1T2mqG9n944ln4vo+uXUrwwxOPhch/JWOkGzTIV48F86OqqhqSFoqsuKY+BRnwValuYKoOvxw6Ws8sqZWENrk125EL1YdhS6mLFtnH7EOo+xKtpIHViThGUBVy0myQU28YnfAkO6Knx5/aStF3ux6YQd1G2v2iNgQe2AGRoqfvGcjJCFvY4fPtMjXsUqmPb1eswjvT3gcATLz8UmUuMmWkgxa+cizYdrU1NVYGJRzKKIT9LshCO9YBIi1yRQvxVEt1GMyXZlfZ1LtKvhuQ3/SlrQlZMVzGmr3ma0vtPNjwq+u6G/T0N9/kdOl0yrGeSo5KG6LWS16/FcqVbmYeawuPPhRPs0f8uL/56HtszCMQmaQY9gCIs9xRDi9MegX19fVo0rgxxv7oLKWCprYvpiA3J0dJxK+vD7/nN8iPrmsnp9A3K9+eop7P6Ixbx8UsUGTYDZBNQyvOl++BPvtM3jM12QFp3HwQw0hG4qS+iSOUZijGWKvBxfgbsDAptFgPIEl20uYsUGyIDofe3qSGOhrrcInTOk56wx6gEuXhvk/d5qApQ0bFJY/9ohLAoXShYvJo7HcEdXX1mJr20keNHI6GDVNnt0QDkkJUUFAQtmENPEusmvHOCwoa6LiPAZZFL0OXNpAg7ShTHVAX5uiSx3g1corBRitzoxa81s7mlHnKd/KGWOA2ynHGiqER22p+D1ZIXd+V2Ycs0tNAyoB78huOlFNCwaNvp5gH0iRThMWCrVOHzEzoJH2xB2zq8riDoetnTB4F4XoGnS6bMy/cqnjiCaN4NOkJ7wNomDbSAITDwCJKrFFvWKB/SbUbUBST6iXqccknMWqEpkRj41GPy93pFMPnODrHpDYMzVkH3JR64eOb74Px1HmuQRkVMpGxHeIfmQxkxbFUjLX6HQeKKF2DMtL81Lc8HQJta8jTxzrdNI64z3ipYrQf/gu9K+pAuIRUGfCoRKKu9K9/v5dq73k48fhRUnlAu6ioKLy2a/duZb1t27YDSJ31kjozJjnwFfPLfarF8b7ZXIh4aiT/y/7meBuYNVedxorrhZoXOerWYZctxvo0XLJtwLWIa/wIC7wjH0wmK8aTriw3JplE42p+KYybfCIJiFQFz1nVMGyW+EsylH6vGhJZLD3Fh0A7C6CjWFtXh2nvfQAAGNC/D4qKWmtx9O7VI0y77Ny5O42VV56Vq9aEdQNwngpcSGKWVeaSFDEQuXXolJ1HUT8OJeh0lFL30EJkxlzo+4qv2Zt//Pk3VD6TlCUBl7X7ar4Z392JIxFy7BObT71IHHh2T4l/Ci39QfBR3DbzIrz83V0bsH3xDR81j066zPLH/Bfhm29WhCcuHjXsyJCW+IEHNG5ciJLijgCAz7/4SsK1c9fu8Iz0gQP6CuzYbj9Gi4NOCro+xAPVWGQO0pZVKcSz6bJFD7RyFFMymYN526JvqafBadUDFT3Tb10bxuGAywjr5KjjOu27WmXALElSXdu4qwwsTY60cfE03yMclO2rOrshztscExL1KqxmNsQbGA3SCOslop9YthgkMlx6YEvlPgSLjp49z/CLh8VLloXfu3Xtoq0X4Bh0xEAAwNv/fhebt2wLn3QFgKee/gvq07tfBvTvy3Js4EADabzSufBMOS9EFxr8WCQDnuJbPOAWNqNee9z3jF9TJuHXX1ONjb5tXLDNb0vrgEdGV2hLgphqce0TW9+8nKifFNcZ9njeP92wixU1Vo7RT9+idSoMKaNuGwnjourJ14IB9tk6JhdLp+TuBiuk6eQcKmh5Ksr8JKfwuHjJ1+H3bl07K9rxOC69eCwAoLa2Fjfc+CusXLUGW7Zsw1PP/AWTX3wNAFBc3BFnnj5a0w934MdJ4fzGxO9LepApRLLK+CUEVv3g9TN6EjIpiGNEbPU84T8RkgxCDDj42C0w7C59p8pAUUcab0pn6bTiv1aQ59fXjoXZbrCQJ66ZWtJe5NkIPgVHl91Cluz7E2kQbCGj67V5cNNdiW1EljBGvWuXEmv9oUMGYey5Z+Jvf38bn8yag+NOOpPnx/Pw2MP3cgeBZQyKrlm34lHQJoBDDz4zNo5AjMB4WinD/h2odNaBPk52Q2jCERRF88kXSpKASCOSW4CJEFshmcasWDigy4q2T511xvVuXFiJVA9SpQwhkoZZOd1pErNryqsrVq4GADRp3Bht27Yh4fjtg3ehUaNCvPjy38J0S4Dj5huvxvCjh6avqAaanzr8dfWZ8570iyJHHch5wGxCHPTqNqqrPvc9zsux45oWmZtsGEDbWLO6ZEbjwhV5aysRW4QD3HcJo5GEOiVL58HmZNBsICcZ5ZDb9cCrrdjq80aYrayb/jZFNeGg1qOWZQpivCPi/q58Mx+bNm/BkqXLsHPnbhzevh0G9O+L5s2bIb48XMaNiiPOOGUDB1s3CX3JFo+u9E36eKjmTDr15POGT2835LZqPpKe167ypuhLNvTRUk+6B8DUIthpr65iqxBTUg0yhUkFDk5XbbR0npFp8KkrriX5Fzb/7ow6DwpZcW6BTpbCdZLD5yI3Kn6FgpMcNMskCnG4TESKEL5joy4+NEByuoJy1zljZSbNkmDUtXZDbquulw1njTqv2S8EOSr1zEaXGtk5GHUTC2nIiT+5qcDj8MEybOtwpqGurr0ZrxuP+pb0+qpPXEo6GfgOHFKjK3mC6nsh/6L3Vs+lepxMPIphOiUszjQ14A4+vFRA74loMkkTZAoRvUwe7FG3S6ovZjzq0ba3iW8PbKBJtKXHnd3CS50zhIePIqLyNivqQHjS10wCUzUE3oTIo6GFZT678SgaC1NN20YlkRm9d6P6RZFBVKwbX5tht4x9WvNU27N8Fr1Qj2blTTKw80jXEUI/E8WhmOC+KBJVOsYLvye37VLHl9ifQykfV5w8bt84r2U5SrpqpeliM9TzWrVkK9d1ds4ILRJ4otRxQHzhf5ZAP2l9rlzczsdUyTqPdtClDUDikepvZx2octSEnTa8Ln357obUxqWmXKGWuorJb7v8fwxI8zqT6IoKBhoSjwTnSQCnUxoT3cmgDSn5q9kyPvI2rkM1IeJsi3PkSkrlMX6eRNxUdojBcxvvJLbgRfUc8+LB5WzLLM2aJ15QQLRLK2ktTuGT54yKj+zQlsFJUwD44bZsSoLGg3vUk5n8CTwqUvTyk7Nko65K+FOFqgoQ2AVJ9eKEbJhWGed3bsRCSKrPacUIfma8KmZuufh7S0w/g6+xUNvkpS/TnyCsYkbjbDCXo6BbNaFVqRIzf9IYfuc6KsxfIj+c5mjH2WRTFCk2X0ffJHM9BTMvSczKeIMnt3LTCQdPPSHtUmY5xBcn8KGkWTESYCTg5DuJW9nMmS0RHsiEIAhtFZNhSdbT4w06e1XMm+gnswV7TKZ0oDPOQhUy6JSWMNYZ6XpSTkJcRw7clMrUr2C5kB+SSkJf9P2MJ8m4PXad12pddX9JRiZgXFB5T116gu8QhLnxp0GMltJqpcKhjrU8llcnuXjCd6qHEyM9kXXIwOCoUFA9UOMs140hLQJQlmUzB2kE27jq5Z/csRCZQgI6QsYtQlxaKqU0OWAy5MgTPQ6YcHjcVx9RKKWWS+S/q5/kTFrDXXPpvvBRgT1rpwguNZyp0bP+PY22SZYUmYr9VvdfPEHOzktS4xnDknjGnuiaZMCyTmcMCK2uokkP47Sj4Ivb7lCCiUdH7z7WeMcdk0xxwPElGUYw4TBoZhCmeSIGF4NzqEDuA586srlVfJrH+CpItqokm/Q1k9Ung9rYU1+cEC7QoOdb9XSpkF6Inei6eMtiG3nhV+uqK9gzvOZFxBe+U/mI207AwjAZYvg+2XVoeHQE01j74kNicJ0HIaY0PhEdbR6y4LilMROvwBU1xSP+fkB29gZHwGf4PFVB1oCLrLSFLC8Cj4dg6OwkCIIyIvFkg26MRJwJOILDnNBVk+ZaBqSYafq9nak+omOCgwvcf6Gy2HHrWEd1aeknSyWyIH3pax5fQL2ZoKpvuqb4xUQ2NF8hvkeRTYh27rBKYuaT+lL4+L0VNUIVKRHHmokYPHGICdGpXho6nfMMZYqq2gIiDhKYZljmEYcSR0bqzkcWHodQVSbyw/+MWOGZCk9uhWDIPGFex7L0aQymtDJbL/xuhiS1AkD6heGUmrrFw8ANI+5w/nmKQgFTjtpY6xlSd8CMgztMH5GTo02whOmJ7+26bwEd37q8tu5ja0ujrY4kCC6ceo4bHBh1ukLFkZkPmxusk6MLjhggea00/PZITlOuoRU+ZWrzoglkI59UHmw9em3syDkjnlzdEagNHcfa1/SZLQuiDkKkQn0rE/uLbNoUQUNUpH7q1Sn9EuelB0r/UArVZX8hMOhxDbtLXiv+0qFdlixtdIbbVNcdxPiB/0JoTLps4FFv1ROAQxy1kfog85S0CPQvUUgAt1Nty5gnuKhmc6SNPqpvkkm8uckuxLQjOdTsmVq45dSVNsydIevKx/7lrLN92aQbc1a6jrikwVDh8YVPFoAgR3bIMuaE5JEEi7GpTjLghZriMrF4KQT90fdLHXmqcGUGvuKbPPE9ZkCt75Q1lFHacu/AVPJLkWNCht06Ti7IlF/li+n+U2yWxSpZCEYFyv4JY63jOWjr/kRpBgZdbOUJeSGZohc+bMDXVLWLeKQe+K8zPKan1tgmnohPwRWIpSIdBVfaWq5YI05oPEnyMMgHUMs1kF7Sb7zRG3SVhDTJBItBV7WSj5gQPR6mFXXoNfyJu3zshjOYPaY63KzWgpptVzlmMs62eS3yo6ellpsvXWKzCazbJs8ZF/tHkbaOTzsetsn/Bx3OLhIULFtEAAAAAElFTkSuQmCC",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/203.jpg"
}
] |
<image>Find the measure of \angle 3.
|
A
| 64,651 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/204.jpg"
}
] |
<image>Find the area of the trapezoid.
|
C
| 64,652 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/205.jpg"
}
] |
<image>Find x to the nearest hundredth.
|
B
| 64,653 | null |
B
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/206.jpg"
}
] |
<image>a = 8, b = 15, and c = 17, find \sin A.
|
B
| 64,654 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/207.jpg"
}
] |
<image>What is the total area of the figure?
|
D
| 64,655 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/208.jpg"
}
] |
<image>Refer to the figure at the right. Find z.
|
C
| 64,656 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/209.jpg"
}
] |
<image>Find m \angle 3.
|
C
| 64,657 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/210.jpg"
}
] |
<image>Find the variable of r to the nearest tenth. Assume that segments that appear to be tangent are tangent.
|
B
| 64,658 | null |
B
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/211.jpg"
}
] |
<image>Find the measure of \angle 8 if A B \perp B C.
|
A
| 64,659 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/212.jpg"
}
] |
<image>A square with 5 - centimeter sides is inscribed in a circle. What is the circumference of the circle? Round your answer to the nearest tenth of a centimeter.
|
B
| 64,660 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/213.jpg"
}
] |
<image>Find W Z.
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/214.jpg"
}
] |
<image>If X M = 4, X N = 6, and N Z = 9, find X Y.
|
B
| 64,662 | null |
B
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/215.jpg"
}
] |
<image>Find z.
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[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/216.jpg"
}
] |
<image>Find x. Round to the nearest tenth.
|
B
| 64,664 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/217.jpg"
}
] |
<image>Find the area of the quadrilateral.
|
C
| 64,665 | null |
C
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/218.jpg"
}
] |
<image>W X Y Z is a square. If W T = 3, find m \angle W T Z.
|
D
| 64,666 | null |
D
|
[
{
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/219.jpg"
}
] |
<image>Find x. Assume that segments that appear to be tangent are tangent.
|
C
| 64,667 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/220.jpg"
}
] |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
A
| 64,668 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/221.jpg"
}
] |
<image>Use parallelogram A B C D to find A F.
|
B
| 64,669 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/222.jpg"
}
] |
<image>Segments A D and C E are medians of \triangle A C B, A D \perp C E, A B = 10, and C E = 9. Find C A.
|
C
| 64,670 | null |
C
|
[
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/223.jpg"
}
] |
<image>Quadrilateral D E F G is a rectangle. If D E = 14 + 2 x and G F = 4(x - 3) + 6, find G F.
|
C
| 64,671 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/224.jpg"
}
] |
<image>Find m \angle U.
|
A
| 64,672 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/225.jpg"
}
] |
<image>Find the area of the shaded region. Assume that all polygons that appear to be regular are regular. Round to the nearest tenth.
|
A
| 64,673 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/226.jpg"
}
] |
<image>Find y and so that the quadrilateral is a parallelogram.
|
B
| 64,674 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/227.jpg"
}
] |
<image>In \odot P, m \widehat E N = 66 and m \angle G P M = 89. Find m \angle G M E.
|
A
| 64,675 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/228.jpg"
}
] |
<image>Find the area of the shaded region. Round to the nearest tenth.
|
C
| 64,676 | null |
C
|
[
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}
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/230.jpg"
}
] |
<image>Find x to the nearest tenth. Assume that segments that appear to be tangent are tangent.
|
C
| 64,678 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/231.jpg"
}
] |
<image>Find the area of the figure. Round to the nearest tenth if necessary.
|
C
| 64,679 | null |
C
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/232.jpg"
}
] |
<image>Find E D if A E = 3, A B = 2, B C = 6, and E D = 2 x - 3.
|
D
| 64,680 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/233.jpg"
}
] |
<image>Quadrilateral A B C D is a rectangle. m \angle 2 = 40. Find m \angle 5.
|
D
| 64,681 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/234.jpg"
}
] |
<image>In \odot F, find m \widehat A D B.
|
D
| 64,682 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/235.jpg"
}
] |
<image>Find x.
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/236.jpg"
}
] |
<image>Find x in the figure.
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",
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<image>Find m \angle Z X Y.
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B
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B
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/238.jpg"
}
] |
<image>Find y.
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/239.jpg"
}
] |
<image>Find m \angle L.
|
A
| 64,687 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/240.jpg"
}
] |
<image>In the figure, \triangle F G H is a right triangle with hypotenuse F H and G J = G H. What is the measure of \angle J G H?
|
B
| 64,688 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/241.jpg"
}
] |
<image>Find x. Round to the nearest tenth.
|
A
| 64,689 | null |
A
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/242.jpg"
}
] |
<image>Find the perimeter of the polygon for the given information.
|
D
| 64,690 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/243.jpg"
}
] |
<image>For trapezoid Q R S T, A and B are midpoints of the legs. Find m \angle Q.
|
B
| 64,691 | null |
B
|
[
{
"bytes": 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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/244.jpg"
}
] |
<image>a = 14, b = 48, and c = 50, find \tan A.
|
C
| 64,692 | null |
C
|
[
{
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"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/245.jpg"
}
] |
<image>Find x.
|
A
| 64,693 | null |
A
|
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/246.jpg"
}
] |
<image>In \odot Z, \angle W Z X \cong \angle X Z Y, m \angle V Z U = 4 x, m \angle U Z Y = 2 x + 24, and V Y and W U are diameters. Find m \widehat W X.
|
B
| 64,694 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/247.jpg"
}
] |
<image>\triangle D F G and \triangle F G H are isosceles, m \angle F D H = 28 and D G \cong F G \cong F H. Find the measure of \angle G F H.
|
D
| 64,695 | null |
D
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/248.jpg"
}
] |
<image>Find the measure of \angle 3.
|
B
| 64,696 | null |
B
|
[
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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/249.jpg"
}
] |
<image>Find the value of x.
|
C
| 64,697 | null |
C
|
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