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OpenCV, CUDA, python으로 windows10 위에서 optical flow 계산하는 방법입니다.
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# OpenCV 4.1 dev + python 3.7 + CUDA 10.1로 Optical Flow 계산"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import cv2\n",
"import timeit\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"cv2.cuda.setDevice(0)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cv2.cuda.getDevice()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"im1 = cv2.imread(\"f1.png\", cv2.IMREAD_GRAYSCALE)\n",
"im2 = cv2.imread(\"f2.png\", cv2.IMREAD_GRAYSCALE)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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/aZnLzxyzZrN5CuSbzWZbxIwEeD3mfgDP/16bddjGtNNFSN1EkwzlfGRgwL1X8PPjZL0eWq9ws7APql+b3YpNUwfxqFoGxbncTZ3agRnUrhewAw9B0c8xS7qEoK3/awpGKg6tBGyUydHR0SmHKgGdfXNdF0dHR6csZh0+qQHeNga2Lf7Y76BQyLOiETpRGo+CyrC1aQvVvGgyMODeT9HArn8D7DdUW3xe/GYv/TnPcylhwb7btjq12m396cdsSXLtui4blcKdg2KxmGmfoO0F6gCQSCRO1W/rO7l2WuwS5OUzxZW0OladaQtkhEssFjMhkzJGXvPtmsqxjYWkd/RCK13eRmHaJCyN8Kj56E7Fj3obVBlIcO/nFN5LA3fahtfnsOfL/oThzzsB2k5BsRdePwiow/a/0+Paordx7XI1p3bOahrBRrNoQPdztEoFwHvKz3zmWJa/HR0dmcyOpF7YZ7kwie1JCkfz8ZwBsF0qCFmfLnce4mcF81rYnyBFosdTlgnbtq1+fY6f8eZnwWtFdpa8fTf3byDB/VHKRZ6GPQnipWRtYagEPk33SGCXjlSeG4vFTjlZbd9J6UihYtEOR035EegPDw8Rj8eNlU1qhta57C8dkzZrvRM60UvOKvLFC6SHcrZyIcA9DOBeFI7sLHjzXumMMNZ2vyz2XvqhqRXdF3m+LCu5cW2BS2vdBt6sh1QM6+NxOUvQ/aY1fnR0BOAh/07gpgXL7/yNgM3fZRZJTe3o8ep1/OX5/XSSes22HrWEpZEuolwIcD8PGXSl0It0AtqPQjrpgwYIbaXr+HZbOVtUjKZpCOwE9Fgshmg0ing8bgA+kUi01S/BVjpJE4mEiX7hKtNGo9HWPx6Xq0+1AzWMpW4rK/voB9hyhuBVry7L/nYDkr36sh6lnNUMR3/uRcEOJLjrRSb94OD9HCLdcNC99CVMGa8FPX5WetjrsEXidFKfV/SJn3iBbpg6JfgG1a1pGFq+tjL6dw36tv7E43HE43EkEgkkk0lEo1Gk02kDpAR113VxcHCAo6MjNBoNQ6Mw/FECub4WWRf/S66awB3mPsryvD7Nwdvet27BS/og5DUAD59pGdGjnbj6XK9n18/B6/eue323XYdfe2HqCJJu8KWTcwYC3LXFdZ7tDnJ9j1K8QLaT8mElSFlIq1qW06AfFEYpgQWAiZLRNAwt9VgsZmLgs9ks5ubmMDU1hbm5OTQaDaTT6TZFQRCvVCrY3d3F9vY26vU6Go0GDg4OUKvVDNAeHh6eipxpNpvGsteAKzl8eW02Cz2s9Mty7rYOKrtO+/Sorf1H3X5YGQhwHwQ5a2D2qz+sVRq27qBrCTMr8gpXDNtOmFDBIGvddp6XE1Ue05y8BHH+SacpQZ+8Ov+Pjo5ienoaV69exY0bN5DJZAz/LZ2m2grOZDIYHR3FxMQEtra2UKlUsLW1hWaziUajAQCGqqEQtBn+qBco6cVP0nqXvL9UGDbgf5TA1G1U16Ps8yD0QcqFs9yHMhSbSDDwcqJK0Q++jmmXlru02PmXSCSQy+UwNjaGV155BQsLC8hms6YsretGo2GcpMBDRynbLxQKyGQyqFarSKfTyGaziMViSKVS2NnZweHhobHy5XWwzoODA0PvADAhjdK5yjHQSkYqBDkuXha+VkyyXhmZ06ucJTgOCvAOmgwkuJ81F3VebdjkPOgnzVXaojh66UeYcQgzG9EOSH1MUhB6H1LgdH4THe1Bq5Y0h3a6kn7JZDKYnJzESy+9hJs3b2J0dBSpVOpUn+kgJejJvOiSImK/M5kMEolEW3SNDHlkvTKkkiGSBFVb6l+dpyUM3y6pLM4QvKQf6YBtfQHsOWm081C3rR3BmrqxPROdip8zWbfRLQ5o34KfH8CrH51QcAMJ7oMi/aJqHpVPwUvOoi/dTrnDlLHx6ARZP1pJhygS1JrNJgqFAj7ykY/g2WefxXPPPYexsTGkUikTS07aRjs3ZTglLWrb9RD8m82mibDhLGB1dbXNmUgl5Lqu4fjJvetrYt3yvLC5Y2QZP64+7GKgfpYbdOkGC/yu+zzGZQjuZyi9Wrhn1aYs59W+rZ5elZ3NYpd12zh4yaPLGYlXvwm8Mq1AMplEKpXC2NgYbt68ifn5eSwsLCCfzxu6JJFImBWeMtKGIhN/ERylFa/7Q8ubABqPx7G7u4tLly6diqSxWdeJRAKHh4dW2kb6DiisQ9JFvUo34HMWoPU4KIdHIUNwf8zEFj52HhJE9YRVYl7AbuPbvRSQ67oGtK9du4bv/d7vxdNPP41CoYBCoYB4PN7mZGX8OtDObxPMdZZHGTIpLXlND8jsjoyOOTo6wujoKLa2tlCr1XB4eIhoNIqDgwPE43E0Gg3TJhWepqyA9j1J5QzDxrmHFT+6Q3+XdBTbe1TP3lDsEgjujuN8HsA/ArDquu5zJ7+VAPwugHkAtwH8pOu6W87xnf01AP8QQBXAT7uu+7dBbWj+6aI+ILrfncap99KWX/1nFREj67CBm41GkWIDAwKM5JalRSsXzegwyFgshmQyiampKbzyyiu4dOkSSqUSJiYmDI3C+iUwS3DU/ZMWuwR2ea4EeHluNBo1ljRnEul0GplMBoVCAa1WC/V6HQcHB6ciXej8jcVi5nzp2NV91mNki6OXVIx+3/y+a+rHJrJvfs+BrNM23l4i6S+pfG398OqfXzudxsF3K+c5Cwljuf8XAL8O4DfFb58D8Keu6/6K4zifO/n+SwD+AYAbJ3+fBPAbJ/99ZdA46YsonYC6l/RTqQbVpS1xCUQEdl3GFtcei8WQy+UwOjqKF198Ec899xxGR0dRKBSQSCRMVkbWy3Ns/bDlcaf1LZWDdqDarlcqJ+AhuMfjcWSzWeTzeRwdHZk4eJuyss0IgNMA0WmK6jARML3QK4POsz+q/p13m4Hg7rruXziOM69+/jSAHzj5/F8B/DmOwf3TAH7TPb6KrzuOU3QcZ9p13eV+dXgop+VRKEY/akSXCQM+trwj0uqTFE0sFsPExARu3LiB69evY2FhwdAwhULBxKwzZYDjOCYPjAZmphCQFIgEVKkMJDja6CN5XB6TionWezabxeHhIXZ2dk6FfNoiZKT1TKtdUjZD8ZcncZy65dwnCdiu6y47jjNx8vsMgHui3OLJb6fA3XGcVwG8evK5y24MZVCk23sYpJjIn5PmKJVKuHTpEq5cuYJnnnnGWOl0QjLKJRaLGctdA7qsT9NKXhShBgc/+srmKNYgzwgaXU72xVZ/v96VMFTLUC629NuhanvyrCrTdd3XALwGALFY7MlTqxdA+ql0GVUi65X8sG5PguHU1BRu3LiByclJXL58Gfl8HqVSCdls1uR3IW2STCbNClPSIF7ASTCXGRe5eIh0DDlzJgtjWgI/kdfJPzmLYD1UPqxfK7qwCqTTFASStx8C/OMr3YL7A9ItjuNMA1g9+X0RwJwoNwtgqdPKuwGVIF6yH22HdS72S85yRmPji8O05xeuqEWCuKZYbLxvNBpFMplEPp/H9PQ05ubm8NRTT6HRaGBkZASZTAbpdNok7RofHzdhjARH7ZTUDjgZK85FSARy7UClsmDfZJ1hrlv3g21LC57tyGgT6cCVykeKpI9kNI0e06CFMdLf4VeP1zXynKD3ze+4jkayfbbx5F7j/6gomF7GIKx4zSRt0i24/yGAnwLwKyf//0D8/vOO4/wOjh2plfPg28+D1nlcqaOzui5SDl6RCXL/0Gw2i6mpKWSzWTz11FN47rnnUCqVEIlEkEqlkE6nkUqlMDo6inQ6fYo/l1w0AU/mY5Ex57u7u8bKpYOU1rjN0aqtcK9rChKeH41G0Wg0jOLQUTb6HPm/27aHFvqTKWFCIX8bx87TsuM4iwD+FY5B/QuO4/wMgLsAfuKk+JdwHAb5Po5DIf/JGfSZ/erpeK/lH7X4zRLCzjDCWN9h2/ACEC+qpVwuY2xsDJcvX0a5XMbCwgKKxaJZXEROOhKJIJlMnoo/J4DLxT+Hh4cm9wsVCNukssnlcm2AGhROJy1THdvdzXh1Ms7SOu83OA96RMtZi6YIH0cJEy3zWY9Df89S1gXwc712ahDlPBZo9Gqh9aNdL9Fhelok+MhVmwRlpswdGxvDRz/6Udy8eROzs7MoFotteVzIkWs6hfXJ3YxarZZZHMSIGHLuWqnoKBj93XEcs6cpk3rJXZHk9TAaxy/9Ac/hf3k/uZiJCchsVISfQ/U8nsWh9F/OW6E+sStUO3k5vMr2m2O3RWl00qbtnCAnnZ90EjtPWoMOyPHxcZTLZXziE5/AD//wD+Pq1avIZrNtseSaN5YgqEHOcRxsb2+bc5LJpPmTOV4YT04OnYrGdV0TT872dGZHACbXerVabUvvm0qlkMvl2rbtowStzpW0UKPRQKPRwOHhIWq1mlEkku9mP3iu/rP9zn7YOHfbb52CjJ6Z2Zzj7INNbDSX/M7fvL77vRthrsU20/Sro5c2vKjITvoYVD7Me/zEgntYeZwtJL9r09ElfGmbzaaJ9JD1OI6DyclJPPXUU3jllVfwyiuvGN4c8I5jpwUuc5OzvLayC4WC+S5F1tFoNLC9vW1+dxwHh4eHANAG+nL5Ph206XTahClmMpk2npzcPKmiIEpLAu/R0REODw9xcHCAZrOJg4MDVCoVbG5uolarmaicbkAX6O9ep0M5G3kUNNgQ3AOklylwGMu31xseZJF4lQ0Cdp1RkalxC4UC0um0SYt748YNTE1N4ROf+ATm5+cN6MsFNppKcF3XgB1Bk+GLwMM8JTKypdFooFarYXd3FwcHB6hWq2Z3o/39/VOgDRzz69wWLxqNmmgbrhJNJBLmT4Yqynsix1PONPzGktYyFY7cau/w8BC7u7vY29vD7u7uqXLyGug78AtzfJJ586H4yxDcfeS8rPZ+tmPbLzRsO7Su8/k8UqkUstksCoWCiSmnNZtMJvGpT30KTz31FIrFYlvGRs2TA+3pctnHaDSKfD4PAMbirtfrqNVqqFQqWFlZwcbGBnZ2dtpAT1ra/Ey+PRqNGkBPpVKYnJxEs9lEPp9HMpk0e59q56bsq3aY6muQZbVjmsfIqcvZxMHBAQ4PD3F4eIjt7W0sLS3h8PDQxNRLjl9SKV5WuY2CGcrgy3la8AMD7v0CuDAOrn5a4p2W6zaUTYuNn/Nzwsm6CJIydJA5WnK5HMrlMlKpFEZGRpDP5w345PN53Lx5E9evX0e5XEYulzPtU6mQ52a78pjc3KLZbGJnZwf7+/u4ffs2Njc3sbW1hVarhc3NTdOno6MjA+Qy34qMmKE1XigUkEqlEI/HMT09jVQqZRYysT/aManHWXLycuwI2Oy7zDPDMZDALK1xfj86OsL+/j6q1WrbTIbH9bk2vpxt2ZSOFK/IJa/kYX5RQ50c8zunU9E8uxwvP+lnH7oRLwC3zWDPUgYG3M9DvED9ceTVNbDLBTSkV3K5HPL5PBKJBEZGRtpWScZiMRSLRVy5cgXPPfccFhYWTHy5XMpfrVYBwCTBSiQS2NjYwOHhIe7fv4/NzU1sbGwYcGcmRNIrtLglfcLQRYIoQTeRSKBYLGJkZATJZBJzc3MolUpGmcjFTIDdcahnFfp3nqdF5piRCgaAFcjJtdMypxN1c3PTbNYhszfyXNZpA3ftQD0vOUtr8yxnH4+C5w6STpymvcoTBe426SewP4oEXrp9UhRcuUk+OZVKoVgsmogPAMbRl0wmMTY2hhs3buDpp5/G/Py8WdZPa5wP4sbGBhYXF7G6utrmFKzVaiZ9LePN5Y5C0WgUqVSqLVoGgMmtzoRa8Xgc6XQa6XQa0WgUxWIR5XIZiUQCk5OTZoUqheAPwLTJFLq28QmKHvJ74bxCQMmps31a8QR3Rt8sLS1haWnJ5HEnBy/HS88ApAKRln03EsTf91MetfU8lCcM3HulZQZROF1lhEcul0OxWEQ2m0U2mwUAs9uPPHb58mVcvXoV5XLZcOyu66Jer2NtbQ2VSgUffvghbt26hbW1NdRqNezs7LQBhOTQaXXTKcndj+QiJMagM6wwl8shk8kYB2c6nUapVMLMzIxRLuwX26Ujlk5WuVtRq9Uy+Vr0kn/ZTyleU3+beIW4EZz5d5dtHfcAACAASURBVHh4aPpHp++DBw9w7949owAZOUNwpyKgktC8u7TaOQsKkn4B60UF6Iva737JQIN7P2LRg8r4AX6QJd6ppW7jwHVkhi06RzosCZaM9kin08jlcsaaJcBlMhnMzs7i0qVLuHr1KlKpFCYmJpBOp1GtVg1Irq6u4s/+7M/w/vvv4969e9je3sbe3l5bnwh6tHzlJhK0uhlC6DgO0um0mS1wVjAyMoJSqYREIoGFhQXzmbx4IpEw1AQjY+hkpRVMa7dYLBqaRoZMyu3q5KxDOj5lqgL+FiaW2ut+sq2jo6M2wCZNVa/XsbKygvv376Ner5vr4AIm/rfROuyrVG5ePLzeeNtPZBk5O5CzBD0eWryOhT0nDPB6OebDih8FEhRlpsexU6XfKyXUj5nPQIL742RZdyO8oQQ9UimpVMpQG9xImdxuOp3GxMQEyuUyvv/7v99EojQaDdy/fx/Ly8v48pe/jO3tbdy7dw9bW1vY399vUxo2y5UhgvK/zGiYSqXMzCGdThsuf2xsDFNTUxgdHcXMzIwpy1DASqXStiK0Xq9jf38fAJDJZBCLxVCtVttS+NJZSku5VqsZhQK0b7LBz3oVKakf6WSV/2W4Y9CLRUrm4ODA+BC4SInx9svLy9ja2jLAztnGwcGBuXYdJSMdqhwjDfRygZUGZb9nSvZdC69ZLli6CNbvIHLrgyADCe5h5KIqAAkmfCg1cNLylYtn+D+VSiGfz+PSpUsoFosolUooFApIJpPY29vD0dERvvSlL+HDDz/Ezs4Otra2jKXIOggKkveWwC6dpgRWzhL4mTsdcQZx6dIlE0FD8NrY2MCdO3fwta99zYAZKQm2TeqCQMz+SGck+0A6Rjo0JXjH43GUSiUAMApwdHS0zbJn+WaziXg8jqmpKWQyGaOs5B8jiPQCLAnEtVoN6+vrJhJmd3cXOzs72NzcxO7uLhzHMaAv0whLYJYcvc06l/SM3BlKOl+9JIwlbwPHQQLLTvwiQ3koFxbcL6KQSiCFoaNECOK0nMhTZzIZjI+PI5vNmsRXh4eHWF1dxeuvv45qtYoHDx5gb28PtVrNAJgEa4I5QQZ4uAq00WgAeJgl0dZvzWHv7++jUqng7t27aDab+MpXvtIW8kcAlaItQtlPySdr6kTH7cs+asBmGgFa/NKa51hLxSWjc2TMPMMv6TeQZQn8PMZ+cxxpnXNWJZ2nvDYZBy8VmcxnQ6DneGkePgi4BwkEB6kvT4oMDLhfBEu8E45dWovAQ26atIqmDFzXxdTUlInXLhaLAGAcmUtLS9jf38f9+/eNFcx2dPy2fOklWMpYdADGKmY/c7mcoU54Lh2C1Wq1LaxP0hesW8bxas6QswY5Pl7UgB5zrahsvgvpj9DldUy67K8E08PDQ7PN3dHREWKxmJnx0O/BnPNypiH7yrEkEEuLXLYlrXD5WUbN8B7pKBk5djb6xIs71xSPPCbPl/dS/hZWtO+Cz4RXiKlsQ3/3o1yCFEY3PoOw0sv5Xn6+sH6IsDIw4D7I4hU+p52ftPBo2dnyqnAKTqCfmppCqVRCOp1GrVYzeUfeeust7O/vY29vr82pxAde50u3vUASeBnfXiwW22gIWpRczr+3t4d6vQ7A20lneyj1GNkSM8lEXXr3IJmQi9eh6SPtcCbQS6oCwCklopWQvie8VpaRi3y4mpbtEoilg5nXr0MtJS8ugV7z5lSWmqrhveS40dr3Ehto9yJhuPyhDK4Mwb0DkREW/OM0X4oNeAuFAkZGRkyEB8vcv38f77zzDvb29gxwa5HWj6xXW7CkdvL5vEmlG4/HUa/XDR1TqVQMR0xF45e6Vudb8fLi26J89NjpPUN1G/rabEqj0xkelYqkleQ461WpBO5Go2GAmwpGzhpYN+uSAKjLSC6dQM3y8nfpRJXOVJbTM4+gMR/Kky1DcBfiRbtIIJBAxBdeRzMcHR0hlUohk8mYOG5O5RuNBnZ3d82iHyaP0vy01+yAVIoE9lQqhUKhgHw+j0wmg2w2i3q9jkqlglqthu3tbRweHsJxHMOHy/57USEEGGmhsk2/qbZN/Mp5AZS8H3IP1jBteSlJXY5UC0VSV373xQ9UpXLXlrtsF3gI7tJK5rhLysZ2jZKDpyI8r0VKQxl8eaLBXVMq8jOtOc3Xag6bZRgKyFWhdKStra21Tcdp5fnxbgRhTe1kMhlMTk6aSBWGBG5ubqJer+P+/fuGL5aWnVyOT06Z/Zf/KbZ85RrU5P+w1iNnCd2I9A9I8QJyPdPRfK4EUx19Ih26BF9GGUlqiOfp9m2LjyRQ6/BFOmJtmS3l7E/z7rYcMb1w1LLvQwfoxZcw2+x9HsA/ArDquu5zJ7/9awA/C2DtpNgvu677pZNj/xLAzwBoAvjnrut++Qz6ferhCwIYCXJSpFXKMhIEJe8pQxVlDhO+tOSr5QvIl1tSA7Iv0gpmnWNjY2bJfSqVQqPRMOF1XOnoNS1nf6X1beNMO3EO2/oqx9VPNPgR4AmYsg2tOLQC1FE0XiKViDxHOwhZD8vL37Q1fXR01OYo7URc18XBwUFb/zQto3l2ilaiNC68HKi2OtiOrV9B5wfx+FohBs3QbMeDHLxe7Wv6qxPRz5h8ruVz0Mm9DnKQdqMwvWjQMBLGcv8vAH4dwG+q3/+D67r/TnXkJoDPAHgWwCUAX3Ec5ynXdR/5XFFTEJLTlaAlAZggzvDFZrNpFqzI6bMX4OkHh865fD6PXC6Hqakps8DHcRysr69jc3MTa2tr+O53v2vC6Wy5RqSTUSa0ku2zbenI1H3Un21iK9sL10ugkeDOvtq+6/uir9M2A5M8unSUagqG58iXWdIyVLr8TgXsBwBSafC4DmGUYCgtcAn2NBok8EulIOvTFn4nokHXC4Q7oeGG8uglzB6qf+E4znzI+j4N4Hdc1z0A8F3Hcd4H8AkAfxV0Yq9aWNImNpH8uA6vY+QIKZZoNIqDg4O21YcaVOVUX4IPrf5MJoORkRGzYrNUKplFMbTCV1ZW8M4776BarbZN8W18O0GFL7UfT63BipSCDeRZt60+HV9u+6xBJYwD1CuE0E9xyLH2s+D1rEn31cv6s1n78jzpWJbnADg1rjLqh+drUJf9IcUiAV/21cavy3plfba+6+ifoTwZ0gvn/vOO4/xjAN8E8Iuu624BmAHwdVFm8eS3U+I4zqsAXgUeOipl5EGQJaHBhgAm65PHGaEiQR5AW14PPcWU7UhLHYChZ0qlEubm5vDMM8/g2rVrmJiYwN7eHt588028/vrruHfvHt577722KAn+eVn7eiour18qFz0OOgxPX0s3wvZt4MZ+hHHiacCTylC2o++7Fm0xh6WXvDh3eUxSRrJPcixlzhqKBHd5jJ81wNrOlRY5nzVplduAXz+vndxrG60zlMdLugX33wDwbwC4J///PYB/CsBmTlqfHNd1XwPwGgAkEglXbnKsnU76Jdf8OQGbnLhNksmkSUglp97SemK9UjFEIhHMzMxgfn4ezz//PD760Y8iEomgXq9jcXERb775Jt577z188YtfNBsxSPDxU0oe49IW9mb7rwHdxr3bZjI6tjxIpDNXW6uyv7bfw9A28hw9m9LSSbSMpmakBHHwtj4BOPWseIkEYW0YUKgwNCj7Abu03rUlT8ufItvyu99B46lnBXpWabtmr7q9uHQv/0GY/knplDLS/dFKtxujKKh9r+cmTL+7oUG7AnfXdR+IRv8TgP918nURwJwoOgtgKag+xzlels+L1BsXAO0LSxzHQSaTkf0xDzsjD/SAMTUswVvSCNwEIpVK4fLly3j22Wdx/fp1XLt2DXfv3sW7776LN954A1/5ylfw+c9/3mw+wUga21TY1gdeqy7nJ7ouTQGRdvE6D+jeepeUge1YP6f5nVjhvYhuQ8b5yz543VcbJeTXb60M2Ibm3XnMy2LXsxy2y3sjDQob0J0lHSNnwoMqvdC+F1W6AnfHcaZd110++fpjAN48+fyHAH7LcZxfxbFD9QaAbwTVF4lEkEqlDC8sE2XRqeQ4jtlk2HVdA+IUSXPYpt+xWAwTExMYHx/HzMwMrly5gueffx4f+chHUKlU8MYbb2B5eRnf/va38cUvfhGrq6smSyEzCPJFlZtFaOurV4AKcljql9yPd5bXD7QrSN2eTWT4oZzp2MTmzA2SsGMlZyd61hLUni6jy0vKRAK8BlzXfeiYlhSgVH56BsgycoUr8JCKkZSNdOLymHy2bOAUJkJFShh+Poz0GxwfJfDaZiKPi4QJhfxtAD8AoOw4ziKAfwXgBxzHeQHHlMttAP8MAFzXfctxnC8AeBvAEYCfc0NGypBSYXw4gLbdbU760sbN0lLn53g8jmKxiOvXr+PFF1/E2NgYXnjhBUSjUZPk6tatW1heXsZXvvIV/P7v/75Z3i83gZC5yk+uy7SvhWBgUyh+oBL0O8ULwOSUn2Pi5TCVfdVt0vqzWf9+gG3jecM4U4OOS2ViO6apAV2HLOM4TltKYKmc9PRf8u0STKVBISkor2vjTNALSG0cfBDHbpOzsMz5XnUKdINutT+p4gyCxkqlUu6VK1cMQPEh0/HAXOp/dHRkto/jVmyXLl3C888/j2vXrmFubg5jY2Oo1+u4desW3n77bXz1q1/F6uqqSX8rAY1tERy101Va//K7l3hZbIDdf2AT/u6XGoB98QM4WUYDsYzxj8Vip+gX7QSV59teaFusulddNkUgt+CjD4Z5emq12qmx8WpfArvk6nmfbZQV6Tpa4toBKgFXX4u+JioUtiOjcFqtljFeeI6mamzKQH7XffObqUmwtkXq6HHwK2/77KWEbO+ITXHY2vCiNYPeO7/jYesKo6g6VYBeZfWsoRssrtVqf+O67ou2YwOzQlW+ONVqFclkEpcvX0apVILjOFhYWMDLL7+M6elpTE1NoVwuY3NzE8vLy7h9+zbee+893L9/H3/xF3+Bzc1N7OzsmN1w+PLIiJhoNNr2kumHV1trwGnnlF/YpazTBsDAQ0CT5TX4yHMjkYe7HTFNrNeDZrP4JZAwdp8gKtMNc1wkfcD+6rHqp3A8COgUbhnIBGdezkNem3T+6ignL1Dj8yGtV5uzT/sgpPK1vazSUuc9k6K3/ZN90tcXFhzDSqdOyKFcLBkIcC+VSvjsZz+LiYkJLCws4PnnnzcpaF3XxebmJgDgj//4j/H666/j29/+NjY3N7G3t2deGlpEtMr5ovJl10vF/TR0N1NTm2hLmQAqdzbiC8bFUgQAKiVeA0E9lUoBwKk9N2U7NuUiAToWi6FQKCCdTgOA2RaOgEbAt4FRv51nMsqJ1vPY2JhJM8xr5daB0WjU5OWxKU3ZN+lc97JwpW9HhzRq8NMOVwCnnitZP9vkOLJ+afmTb7fx3zYLWpeRovtrU2LdyHkpgG6MBy/DaSgDAu4TExP4hV/4BWxvb+OrX/0qfvZnfxaVSgV7e3vY29szVma5XEYsFjNbmkmLSE+JdU5taYXZHh4/XpvSyUMXjUaRzWbRaDQQj8cxPj5utqRjtsbd3V1sbW1he3sbsVgMo6OjiEajZtZBoJUhicwvTqBJp9NmI2zgobXKfVLl9RPIZmdnUSqVkMlkDAVRr9ext7dnkprxHAKuniX08kLJ0NXR0VGMjIzg4OAA+/v7SKfTcBwH+/v7qNVqRoHF43GTjoEObQIrV/JKy1ry437hgFSyzGNPKmd/f9/MkOT5OqpHjoN0jLKsnAEQxNlPybPTguf5Ov49SOTspN8inx9pjDwqGc42wslAgPubb76J5557Dh//+McxPT2N8fFx3Lt3z2wbxwd8ZWUFAJBKpZDL5QAcP/zc0Jkgn0ql2ixbOg1tYWWUMGAVpkyr1TIW+djYGCYmJgyA0AF8eHhotmFLJBJm4+p0Oo2DgwMDVvF4HOVyGalUyiixer1uQI8gX6lUTPuu67Y5AYGHfHIul8PIyAgymQxc123biKNWq2F3d7eNuuKsgcCRTCbNHqadWILSQZ3P55FMJs2qYLntH4Gde45y39Fms2kSpXHrOpkATYMPRV6LzfdBxcnP3PGKkVvLy8tYX183bbAeSeXYrHvWb0sboceNNJQOwdRKQtavwyhtKTBYl56xSNGUkAxmoGLT/Q87+5XjIsdHW+e2hXe6rBQ/YLc5zr3Eqy0vp3JYX5mtr179OmslNRDgDhxv2/aXf/mXKJfLWFhYwA/+4A+iWq3igw8+wOLiogE213VRrVaxs7ODQqGAcrmMsbExHB4eYnt7GwAwMzODZ599Ftvb2/i7v/s7AxK0+G0hgf0QKhTONHZ2doyleXh4aF4cAtfIyAjK5bLZzJp51yORiAFSbpB9eHhogF0qAPny6uthtsqpqam2Nrg5NRUGN+og/8/MlnKrOb7osVgM9Xod29vbbQqTCkRvTMIHWwI7tw5MpVLY29trGxt5nQQtJu0iYEpwC1r8JOPYpZNangvAzIh2d3eNkuNer3omyOuy0Qj8zHUbkuqxhTbKc2W/2JambGR5WbfNgU2AlnVEIhGUSqW21drsU6PRaNs43aacWHdQGgx9zWHAUNKJUoGch8/nPOid855xDAS4ywd5fX0dOzs7ePvtt7GwsGAiX5aXl7G6umpCH4+Ojgzv7rouxsfHMTs7i0uXLpkH+saNG5iamsLdu3dRrVaxt7eHpaUlPHjwwIBbL/w6+W6+PNKCbLVa2N/fx87ODjKZDCYmJky/uY0egZ80ClfPJpNJA7yVSgU7Ozs4ODgwSkFaznpVpeM4BpzL5TLm5uZM/6gQ2DcJNpL/T6fTxppstVqGqpEgQ2uXfSDNQpBkPeT1uX+p67ptYM72OZPgZtKyHT4j0hKXIZN6cxRZr3Ys2yJdONvhvUwmk22bc7Pftp2QtGVMYJbXx77oa/I6rvsnj8tz6RuxRTk5jmMUaaVSMQqxWCwa349crwE8VEjctNxPeM+4OJB7FmiFFkZ0Oux0Oo3R0VHMzs62zWQ+/PBDrK0dJ6KVs5ogBa8lzPuu74d+jsLMXLnTmZev56xlIMAdAHK5nLFwXdfF3t4eXn/9ddy6dQulUgljY2O4cuUKGo0G1tfXjXUBHNM0tVoNy8vLODw8xI//+I/jx37sxxCLxbCxsYE/+qM/wocffohms4nR0VGMj4/j7t27hpawWVdBIm8aFQ7QPq27du0aLl++jGQyCQDY3t7G8vJyGzfLdAWNRgP1et3w3zJZGYFG74rEYxpcCoUC5ufnkUqlDKWjHzIqIw0iAMziLZ6jr00COzcKYfTR9vb2qTLJZBKtVstcH0VPVwnukj+X9WghbSS/y7GRCoAKTLar26cC1HmJpDNcj6MWPaPw6rc+R9JMsu9yIZlulzMaSjQaRTqdNonquG0id/nSzmDb7CMajaJQKLTtmaul0WiYWVg8Hsfq6ipGRkaQy+WwtbVl+haW6pT3KZvNYn5+HmNjY+aZqtfrSKVS+PjHP47d3V0cHh5ia2sLKysr5trkMxOmTbkZvLz//Oy6LpLJJMrlMkqlEt5999222QrpNDrMOb6lUgnj4+PGqNnd3cXm5qZJfcJN7uPxODY2Nsx4Scd+vyz8gYhzj0aj7uTkJLLZrJn27+/vGx6U1ECxWDRWYiqVwu3bt81+n9IKzWQyuHz5MkZGRvDyyy/jM5/5DPL5PL7xjW/gq1/9Kt566y08ePDAbHaxv7+PRqNhOHreXJ0iFmgPr9MLXAi+dHRevnzZ3GTg4crGTCaDjY0N7O7utvGltMjlhsrSGSetOEnF8HxaUB/96EeRz+cNTcTpea1Ww/r6uqGpWI9+ISTfa4vAINjJMZG5gWgVMrJHCttqNptt/K6+Ng3E0rGsrTQvB6f+rkEeOB3KyG0QKbKPVMLyNy/RIZlyH1RJh8j1Bnrc5TMtQ18lrXhwcIBUKoXR0VFMTU0ZaqzZbGJnZ8dQaDs7O3BdF6lUyqScJsDxWaBhwXdhb28PGxsbph/pdNrs/fvMM89gfHwciUQCa2tr2N3dRbVaxcbGhnHm852Qs614PN5G87mua9as8P2gD61Wq5k+z83NoVwum1ktZwp7e3uIRCLY39/HysrKKUzw4r1p+BwdHSGTyZj3xHGOU5tcuXIFxWKxzTB7/fXXzXqLubk5pNNp5PN5RKNRU46LIUl7kUJttVo4ODjA6OioWayZzWZNvxKJBA4ODrCysmIUV71eDzQo6vW6Z5z7wIB7sVhEoVAwESbT09P48MMPAQCXLl1CsVg008b9/X1DyQCnX7JUKoVsNot4PI69vT3kcjm8/PLL+PSnP42bN2/i1q1b+NrXvoalpSXs7u7izp072Nvbw8HBgbFYyNHLF53ALy1hOV2WvHMkEkEul0MqlTq1EInXcHBwcGqqJ6kiWm186KQ1p3l2WhPpdBrT09PIZrPmhZNx65LSkVamF3BK0OVnWZ6iz9fXbFsToC1V2yxCCmkErym4rQ1dVitrWz+lk1UubCNdxP9BYaEyDFcqUwnmLBc0XSfdweeDAF8sFjE7O3tqwVyz2UStVsP+/j62t7dNcEIymWwDd5YlLUVgpzFA30oqlcLY2JhR9tzWMZVKGeOIio8zYu0PopFGhzVnjvwsrX3OoniPstmsea7lPaRiYPv1eh337t0zVCzHKZlMGgNxbGzMGB+7u7vGscxIKfpcAGBkZMTcq7GxMTQaDaysrGB5edmMWSqVMrMYGWYsqU0qTl5LJBJpC+eNxWKGoq3X63jvvfewvLzcpnhtFPKFAXdGUDCyo9FooFqtolKpnJpuc0AmJiZw5coVfN/3fR9arRa+9a1vYW1tDdVq1TgPpVMpnU7j2WefxZUrVzA5OQkAWFxcxMbGhqFDGIa3v7/flhKYn23RD3KqRoCXXLAEDfkAy/QJkiaRD6UGLTldli8QHxAvblCOoV5Cb+sfr0uKbUov74lUAEE8aBgwliJnC7aVuzYqxNZHfVxnAWU5WySHVKyAPUeLbk8+P5qyYrkgOlAqz3q9jmQyicnJSRN5JKkbWvr1et1YjnTE0zItFApt10MQkQYMZ7YHBwfGUGEb3B+YvPvBwUGbwUNg1sDtl7lVjrWM0qKiaDabRqGQCkylUubaOcac5d29exfb29s4ODjACy+8AMc5zk8lo/Dk+gqKDKXlcfov2D6jzB48eIClpSUzhpwZMdyZYcqcxVAJ8HfusraxsYHZ2Vns7u6iUqng/v37hpJi3bZnzQ/cB4Zz503ijWXIG79rXpw0QKVSwTvvvGM2wmCYIW+01Jqc8r3xxhu4d+8eyuUyyuVym7OSC2Qk1yqnlV6RNhoQpeeffbYBlz5u086aG5X8rE05a6pFzwCkY1L2XVMWvUqQ5d6LnKVjis+c5Kll/zVNdRaiZzWyL8lkEqOjowZAJHVGsOZzSoODwG5zQGtenQpPhorK95MgTWDXCk/2lcrMthJX9kE+35qGIM3UbDaxvb1trGsqNu5dTFCmkTM+Pm7WjTCMmm14OYy18uG7wwWGjUbDRHrRgNvc3DR0TaPRwO7uLur1elvaDNJPY2Njhu6VKT9GRkaQTqcN5byxsdG2QE4+AzaMsMlAWO6O47jZbNZMgXRqgFgs1pYnnQ8ALXJpLVI7Sm3O6SYfej7cpE+YLRKAeVgbjUZbSBgVAx8y+RLJaBE+WFKkwwZ4GDnCaaQsp4WWOK+TdUnfgFQ+0lFE0eAu6QGgPflZJ5a7/M12bpBTsRPLXVt7NmoIOE27BPVHb4AuwYbPk61P0pkuZ0E2xaxTD+iQUT2WchquqTPe44mJCROqKsFZW+L8TGd1q9VCNptFOp02ZSVVx2dF1snV0zKRn3wOJH+uHamyHtbrp5D5vnGseN/1mMiZLoGSs2a+42xbjoe+h5rylPdBv1e0yrPZLJLJpOnb/fv3sbS0ZMaB9AzrpoIjXpFK4v28dOmSCXwgiN+/f9/w7nI8OKb8Xq1WB5uWiUQiLnmr2dlZbG9vm4vi4hneAPnQau6TLyJvBIC2JfZy+gi0LyrgFK9cLmN8fBz5fN5MZ/VSeD5YpG74sPLh4g2Vzlb9Ukg6R4zDKaDhQyezGwLtETpS5EPJ8tI56Td7kP2w1ev3XTsI9THdL68XXI+BDLeUCsnWB/mbFy1kA39aezZayaYsbUKDALCHZNLByD4EzWS0b8fmhJVO/Hw+b34jmLHv+/v7JsUEqY1MJmOeT3LTBE8dAy+VkXyWZKoMBgdwfQLHks8t3xltwUtHeRA1RZDUMw9Jk0rwlwrIz9q1+Z40zcXvh4eHxoAjzpBBIODKNSoAUK1W23wmrD8ej7cpv1gsZpSG4zjY29tDrVYzuMXrk9exvb092LRMNpvF9evXjac4nU5jf38f4+PjJtZbTpWB48FhrhH5YALHA0CLmDeDDpVEItGmDaXFQr59aWnJZJrkaljy/3yIj46OEI/HkclkjNKRwA+0bzpi48u8rFd5nNcUJkKD1+5XTj4c0jLpVaQzT1M+mu7xA/awx70UG8VGMUmeXvY3yJL0E1mndJ7J+y5FR2Dp47JfUuRzT2HqCW7kznKtVsuArGyPnw8PD01MuqRUCFTSQcg2HccxCwClkuL/fD6PRqNhHLtsm0JQ1u+ADOcMAl+2pcdQzuqkMSXbsIV0yvqpmKmUpALW766che3u7rYZAJIxkIEM8pnVMzI+q9IgicViKBaLpn/aOKDS5MJNmwwEuAMPAZ4PJbkp8t/RaNSspJQaTlriHEAdGyzBOJFIoFAotM0AqtVqm3ZuNpvY2NjA2toaIpHjuPGRkRE8/fTThr5hqJh09jA/Cz3hkh+T1oUWCTJBVrVNNDjLB1/zl2Hr6JeEBVGKXxk5zfXqr1YifvSHV9s2nl2KdkzrOnivvcbe755IHlyClPaz0HJmtAajXxjK6LquyVEUiRxHbtGJJ+kpggh3NpMgJKknqahomUt6gH3ijFlTCdLZgAT3xgAAIABJREFUqv0Jcuz8xlp+l/SPPI/jLn+jAvZzfLMfpG+JM/KYnOHxmkh38XdSrXz3eZ7EIyoo0mGc4UQiEcMESJ6fsylNvwXJQIC75OrkA0KvtuQ/GWvrOMdx4eTF+VDKBQVAOyBwIYEMT3Qcx8SYShDmf8c5znXCxQjj4+O4dOmSyVLIuhg6lsvlTLIz3ij2R94QL4CSv8vrkselaMCyUSIU/XB7URea/tDSK0izbW2NSquFwGazZHmdfvROJ321cfG8b16RHdoKk4DI79LK1ecGvZySL9fKms8S/TYMPqADjxy7jDHX7cv3otlsmmdVvke6L/r5lYaT5IuBhwnZZACCpJnkGMoxt/VTjwvQHtygV8RqIKT4vQtybOUzqBWSpH+Bh6tQbSKvU9YhfRQEd2nd0yjh6l9eE/AQ1MMYbAMD7nygyOG1Wi2z2EYKbyodn1KLSkDWD46MEJHL2+VgEjSkdgUeWlHMmnjnzh1Eo1FMT09jZGTEZDbkogoutKAlL69JLlACTlsdvJZOxk7PXLRojlfW7wV+2roKY/XKNiQ9ZKNbNCACDwGBfdYhivKzfuhtovspwYciY5Fl37SfQIq0YNmObUx5vqT+5H9Zl6xHgoBuhxYhfUjMkspFf/r6+b4wBt32jMnnh++CXkSmaTftpKQisflVpDLjuPLdlf1gvaxLAqoWiQv62ZbgyXq1Je01/vq7NLT0rEqWk9dpU0p6fHTfdX9JFdme4TCzeSDcNntzAH4TwBSAFoDXXNf9NcdxSgB+F8A8jrfa+0nXdbec4978GoB/CKAK4Kdd1/3boHZoBRDQyXFTs/G/HARJe3BQ9QBqQOF/bTnyAeAMgb/LvrEPtFYWFxextLSEZDKJkZERzMzMYHx83IQ4yURfVFZc4LG7u3tq2gvYOXF1P0Lx6ZSwzqpOJIjz9jruVR5ot969puraoSgtTduYyHtJ8fquZyqcHXpdp1ebss/aRyCfOa0gpCUqwVADnLyfjOLg8+tF69GY4LMoqR5ZXmYvlRFWrMdLeduuXf8mLU9pRElF7TXj1u+DfpaDKC5bGT+gJw2iqR0pEuC1MrE9H17GXNB74jXOYSSM5X4E4Bdd1/1bx3HyAP7GcZw/AfDTAP7Udd1fcRzncwA+B+CXAPwDHG+MfQPAJwH8xsl/3wug1S4XXUjHFND+YPOBkY4r22DJ8DOKjVOV00bWTW+3tlIAGH4tEokYRbS6uop8Pm+om5mZGWM1MfkWHS1cUbexsdEWKyxDLf3GyyZenKUfsPuBVNg2uimnlSunwp1EucjPWiFIBcA2ADs1xd+1dSqtKim2sDoNFnpKLy1NOSXXM1MvIJN9Y6QFp/M0HICH0SeM/67ValhZWWmzAlmey/05VrT85e5ldN7RyWpTtrKfchYgRSoUfb7NL8L3keMjefR+Gipe75KfgQW0P78Sh+Q5NkUrP3thlpRe1p10HArpOM4fAPj1k78fcF132XGcaQB/7rru047j/MeTz799Uv4dlvO5AJfJpaQVcnK+r5XoVUa/HEHTGT1FlFSGjJ+VdUrFIushuGSzWSwsLCCfz4O5c6i8mAWS1jw5e6YloKNWPtB+lryXxaStJD0mtnNtNIos52Ule9Wlf9dWMoHdK6acv3Nqa7Pgdb91Yij52esabKLvr4zMkiuftdi4Wlmfpl50W9rC1++EtHi5voJADMA8Y1wBKUGS48i8TaxfjjOfN+m4tM2o5IxBXi9FRsI4jnPqXdL3VFr4tIj1ojteh36u5TE9jvr+28pK0VSkLiMtd9s9lm1q0cfDYrCmugBgfX29P6GQjuPMA/gYgP8NYJKAfQLwEyfFZgDcE6ctnvzWBu6O47wK4FV+l04oeTHyQigSqPXN9bL4ghxYtpuurSa5TR7bklNpPZWs1+t49913kUwmsba2hsnJSZNsKZlMms/7+/vY2trC5uYmstksdnZ2kE6nTWxyq9Vqi3OV1yr/tAWhLR398EluWYsGWS8FYCtvO2YT2W8vJaWnx7JuLyvQ76XsBNTlOdKnI5Wj5oyB9o09gNNx2PJcm/PPj2bg8yWfewmgzFfC1Bksx7wl8pq44U2z2Wzb6pDCaA655kRfaxAw8do1RUWRBpMOcyQe6DG3/dciqTA5ptpolM+snuWGBV3eS238eBmcfkaSFq86wvQtNLg7jpMD8N8B/AvXdXd8OmY7cKonruu+BuA14HgRk62zXheiXwYZ+hg0zTKd7ICK0ApHvlR8KCTvJvvCSITbt29jcXER2WwWo6OjuHr1KsrlMhKJBPL5/Kk0CNvb29jc3DRZ9rRzjeIV6eF37UGiaQ5Zhxfgh1EQuixpALYny0oFKgHbBvZ+ysGrTg0WFG196qk0RTrObI4/aaHbLFpdj2zf1q4+n0nNpKOO4M5wPkZ86K0aU6lU2zJ7aZhIoUJotdq3bdTjFSTSP8DZDkUbJzSi9IzJC8T9+uJnGcuycnZpG3+b2AwYL4zhfdK8u+3Z8jNM5HMQBr9CgbvjOHEcA/t/c133f5z8/MBxnGlBy6ye/L4IYE6cPgtgKagNbSmp9n3L276fhWjnLq0NvizautNWNIGeueez2axJHTo3N2eSoJHrZ2TNxsYG7t69i9u3b+PBgwfGQUvHM3Da0eYVHSNF0xoUP0DWlICtTl4rP9teZvndb/ZgUzIajOik0wuKbDM63hc/Y0A6N3V/eF02a1KCvC0yRl6Dtu6lpSmtQF6rbRzkNXHVJFPPEkylYtGWvm0mIkWHUspZqxwrP+G10PekfQyybulzIcVkU2w2kcrAD/g4xjZfi43i8cIV/Rzb6DneUypRvTpXJmnz6veZWu7OcYv/GcB3XNf9VXHoDwH8FIBfOfn/B+L3n3cc53dw7EituD58+0US/QBJTa8pEn3zpUXAh7hWq+Gdd95BNBrF4uKi2Q6vXC7j0qVLmJ+fx9zcHPL5PFqtFjY2NvDuu++iUqng/fffx+rqKu7evQvHcdqm4xrAgoA4DLiHWWEqwUCGluppqC12XAKYtuTYVxsIUcHq69J/FL2xCutgmSD6Tl6jpAdJbWge1rZU3jbjkX3SQOEXs83zNKUi+XM9htK3Jblr2SaNB1rrNuCT7XuJtGhtwCSVNYFXXlOYNmwzJ69++j3rcgzCWMb63gUZnDbF0WmbUqkH9i/Ezfk+AH8J4A0ch0ICwC/jmHf/AoDLAO4C+AnXdTdPlMGvA/j7OA6F/Ceu634zoA3XK6ZZlOnIOvcaAC++yzZz8NPatt+i0WhbrLYETi504m8SWPVClUKhgOvXr2NiYgLFYhHlchm5XA6Oc7zp9vT0NGZmZoyC2N/fx1/91V/h61//Ou7cuYNKpWKy0eml8PL6bRa07Rpt12ubltrCCvWMgu3qcbIpDy86RisCnf9FUjUa8CRQEtQkrSEVuG3RjlTSNksdaI+msVE1+neeI0UChs0Zqzl0vQRfnyt/l8dkWZmlUJfTi2xkf/zeSx7j9Unl5eWADGOp29rw64euUwdYBHHt2oCwUSp+Y8Gxsx33m3Ho3/R11Gq1wU4cpsFdi572yt986vT9vd/gLo9JYJHUh7T2df91GSYlikajKJVKKJVKKBaLKBaLGB8fx/T0tNm8YGpqyqQ9ZYjb/v4+fu/3fg9vv/027t69i42NjVPbrelrlps3BF2vbfxlki++PBp0ZVtevLoGdIK1pHnkWOkZiPxd1qOpDtknct/sN6fLEvwl1Sbza9uAXzva+ZsNFDoFeg0GNnCTtJB+f2R5myUrQcirj7JvQeCqUxT4lfUDPy8Jg2G6jKa+wsxAdD22mR+/2+rTYxim30Gz6gsP7mE0WtjjZw3uug0JPDo5kLY6tbXM79w1JpfLmU0axsbGDNd//fp1fM/3fI9ZMUuAikajWF9fx/vvv4+NjQ3cv38f3/zmN1Gv182GJsxmJx9U20sfNMUkKEgg1fVo8PfafEN/lismCfT87DgPMw/KY7KPUtHys1RgsVisbXMJG0hrYOd3KgCgPUpGArEGd5vFaAN0GyB5ga7sq64jrEXsZYHK7/J+aoUX9F7ISBjbOd2AdBgQtZULsog7PV+X7VRJdYs1F2KzDj/pZGAHSeS0mBa7BD8vy1WeT9qmVquZrHsbGxvI5XIYGRlBJpPBzs4OlpeXkc/n8eKLLxorP5PJYGxsDGNjYwBg8lXcunULb7/9Nra3t80uVJVKxez8wo3GNS0hlZLfVJIip+CyDlpNtgVmwEP+2qt+SfHYlCfblMpUp2CQIBOJPEy/qikQv+tiOVkPP0vKQoKgTJmhKYswNIoWWb/td3kdYQDMVp8feOv6vcrwv3YkeykR+bu8b7J/thm937VJ6VSp2KLUvPqpZ1i9SC91XAjL3ee8tv+2Y0Hn9iLdtGFzGgIwu7DQmtecqnayEfyYmrVcLmN0dBSzs7MYHx83C6YymQyeffZZZLNZlMvltj0hmfPm1q1bxln74MGDtmRsAE7txdpsNrG6ugrXdU3CNVustuS+ARifhB4X7XzVyo75X7Rlz7GSW6VpC1+Cu4031QDLqA5Jt0h6Rn5utVptOdyl1c/zJPBppyVFbrWo+yf/a1pFtmu7pqD/uh09g/OjGsJY0Lb+yXsflqbws4LD4peNc5fHgq4naCZr65+fovM7r5N2m83mxaZlAs5t+2875ndeL9INuHOhEY/beONYLIZ0Om022U0mk207SpFH5R8TSDG3dzKZRDabNXw8uXvuAJVKpXDlyhXcvHkTk5OTbRua1Ot1s6vM8vIyPvjgA+zt7WFlZaVtMwLer3q9bjYa3tnZAQBsbm4iGo227UlrA2vteLUBuwRtaa3baBq9UtMvakbOKiRdwjQYmnqRHLY8R4K/tvzlyspOwF3zwfzNazZho2tsQBz0XyfikxIEfl7fg6zqMBSK3/GwtEyQhFVWfqLbDaJudJlu2nwiwF1Ltw7XfrTtd1z/ZotQkWBFrp3UCgCz2Ikip/tycUosFsPY2Bjm5+eRTCZRLpfx7LPPIpFIYHt7G/fv30cikcDIyAg+9rGPYWZmxqxabLVaJi6XO74vLS3h9u3buHv3Llz3ePcZ8t2pVKpNUUUiEZP4rdVqGQXSarVMtky5jF9uyiKzF8q9LuXyerljjRw/KjBuYMFIJM3xUynQSmff+J1jKkMBZd4f9puRJBJgbcvmJbjLKB1ZXvaD19MtuMvPnYC7HEu/CJJuwT0MiAaBZFAdgw7u/cRcP3C/EJz74yycvklNLq1Imfa4WCyiUCggnU6bHaHkDjI8T24WUKlUsL6+bqz3u3fvYnJyEpcvX8b8/DzeeecduK6Lb33rW7h79y6uXLmCy5cvt207RyduqVTC1NQUZmZmsLq6ig8++AC7u7tmBx+gPa6bOe81P350dIRSqdQGcgRS/mcdpITojCOQMomVBGxJc3Exj17tyIU9BHzuXcnEWhx3CldVAu2RJ+yPnH7L+yi/a3ptKMcyCIblect5XvPQcu9B+mG5y9+0FQq0pyMmWBJgGfoIAFtbWyaTpt5cWC4GyWQyyOVyKJfLmJubw8LCAq5du4Z0Oo07d+5gaWnJ5LYZHR3Fpz71KSSTSRSLRQPOrusaMOQmvkdHR7hz547JkROPx41FrikSWq+JRKItcRQdm9LKl3QNrW2CMcvLsdIUE8vTAt/e3jazA+5t2Wg0TCpcZkSUFjspMa4Mltw7x1tu5cZjelMGXpPjONaUsdpyp3hx7fL4WVvufu37fQ9juWuleFEt907P6Qf2Pta0jEd9Aw3ufgCvuTj5X36mE3F6ehpzc3OYnJxEs9k0fPf+/r7JCijbk9xzNBo1ETXj4+O4ceMGPvnJTyIej2N0dBTLy8twXRff+MY3UKvVsLW1hbGxMYyOjuKVV15BuVxGNptt42k5c6jVaqhUKlhbW8Pu7i4qlQr29/fNNUpevNVqmQ2HJbVCukcCfzR6nIqZ4Yx643AtTK8MoI2C4S5elUoFGxsbODg4MOPFjTAkFcPfmaqZAE9wl/SMDJ+U9IyOxGE5fZznSgpHPhv6cz85d/nMdcu7h+Xbg+oMy72HwbBOAb9TGqobGYJ7d/U9tuAu6RfgoWU/Pj6O+fl5XLlyBcViEbFYDHt7e9jf38fe3p5JKEUAouXLcY9Go8Zan5ycxNzcHCqVCn70R3/UhFy+//77qFareOONN0xys6tXryKfz2N6ehrXrl1DuVw2Y0+rmy8W+fNarYbFxUWsrKyYTUtoxcfjceM34B+pIQJ/IpEw1i+du9Lq5fi47nE0D8Fdh+Ex18/BwQE2Nzexublp0uPSUqdVLq17ZuuUVjvr085VgrgEcwK3ttx5TJaxgTsVgdcxSreWuw3cbTgRBO66DpsMwb03GYK7R5l+tNPp8V7A3XZchlY2m02Mjo6iXC5jamoKExMTJoWB6x5vmLy5uYnd3V2zWpWhjKyDFnKr1TIUTiQSwQsvvIAf+ZEfMVw5UxUzdPLDDz9ErVbD7du38cILL+Dpp59GoVBAPp9vs9IloJEGoQLiZsMyIogzFII4wyll2Kh8dqRDVAIvx0eOGQDTXrVaxf7+PhYXFw3AM0MnQZyWO/9L+kZGytAhLPsh6Zl+gjvLnie4dwp8fsA6BPfeZAjuHmX60U6nx/sJ7jpmnvwlAENfjI+P49q1axgbG0M+n0exWMTY2Bgcx8Hq6iqWl5exu7trNg2hhSmjXsjZM+vgwsICXnrpJXzsYx9DLpdr4/QJ1Ovr69je3sb6+jri8ThmZmbMfrOM46dTUicSc13XUCT8i0Qihg5xXbfNGUqgl7y4BHIZNqmjkwja3CBlZ2cHa2trePDggeHlpWNbgjvPJdjKKBmCPX8H2iNm/EIm5X/5eQju9nOH4H7BwL1T8NXlvc5/VKBO8VI6YfsvAZ3/JajrOhhBEovFMDExgatXrxqQHR0dNY5PAKhWq7h37x5qtZqxSuXSfkaZEJwB4MaNG0gmk5iensbCwgKeeuopFItF0wfSGNvb21hbW8POzg4WFxcBHL9wCwsLhsdnbnuZo5zAxZeTACQXVAHH1u/Ozg729vZMf2OxWBt/L8eKCoJAS559Z2cHGxsbWF5eNnQW+XhuA8ndtOS6AwnStOq9qBlNIfE3GV0jv8uyQH/AnfXrc6jYbWDo14atHMULWL2eW5uPwev8MOX8+uBVZzflesXSbs5/7ME9bFRKp/V20l7Y4/0Edy9rX9ehHbG5XA5TU1O4dOkSSqUSstmsyVeTz+eRTqfRarXwjW98A5ubm1hZWUEikTCAy9W0BEj2wXEcFItFPPPMMxgfH8eVK1cwOztrMlpSmH2wWq1ia2sL7777LiKRCHZ3dzE5OYlcLocrV64YYNZpdtkefyMXvrOzg0qlYtrQi5lsQnAlp056ZnV1FQ8ePDDUTL1eR7VaRb1eN1QMOXmCuV7lKgHfi3cH2mkZCe4sJ/sqy/TbcmffewV32++dWM5DcA8vFw7cNXVh66MEtvMCdw2WWrxAVsqjAHf9meXT6TRmZmaQzWZRKpVQLpdRLBaRTCZN2oJCoYBSqYT19XUsLi7i7bffRrPZxNbWFo6OjozDU9Ilrusim80ikUgYaqhQKODZZ59FuVxGoVBANpttSyQGwNAqOzs7aLVaBlS5YjWXyxkaiOBNZ6rrumZxl9wxiMDOOgiKknqQVEu1WjX723744YfGF0C6iRSOpGZIw2gqhlw9x1uGSw4iuOuslVo6AXfbsbDUxhDcw8tjvYipH5b4WdT1KNvUD4kX6B8cHOD27dvGmi8UCmbDkFQqhaWlJRNBUyqV8Mwzz+Cll14y6QbeeustrKysoFarIRaL4d69e6eiRw4PD7G2toaVlRV88MEHJhZ9bGwMV69eNRE26XTahD6mUqm2a3FdF7VaDbVaDdvb29ja2gIAE1nD9ugMJh1DBUAHrNwJh0qI4ZQcF7bnusdrAqgotJ9AJh5jLH2Qgj6Le91NTLefSCrorMVmmA2Csfm4yECCu77pYSzzMFZzp8d65f1tIqmMoHKsU0aZdGMpBTl2W60WdnZ2zC5Ok5OTKBQKhopJJpNoNBrY399HqVTClStXMD8/jx/6oR/C+vq6iWd3XRdLS0unrGTpqONfs9nE3bt3sbKygoWFBUxOTmJiYsKEOcoZSiQSMXlzXNdFuVw2i5T29/fNQi5Zv6Ry+J3/tRC8ub8nwTuTyWB3d/dUxk72SS5a0uMvQfesADPIwu1nm/22SoNi98O0FzSDlqLfOS+laPNDhJXzUFSdKPOBBPdu5FFY3d2KnFI/KqEClVN813WxsrKClZUVxGIxlEoljI6OYmFhweSgWV1dxbvvvot8Po/5+XkkEgkUCgVcu3YNL730ElqtFlZWVnD79m2srq5ibW0Ne3t7bZw5lQkt9N3dXcTjceTzeYyPj2N2dtbkhkmn08hms21RL1zFyhBPWu6SlqFDlZY7rXnJ2QPtCoF/dIYycZt0JOuNP4D2lAt0VMbjcRNf38k96bclfhFlaL33R8LsoToH4DcBTAFoAXjNdd1fcxznXwP4WQBrJ0V/2XXdL52c8y8B/AyAJoB/7rrul0O0Y/18keSsKJbznibTsl5bW8P6+jru3buHVCqFGzduYHx8HGNjY6jVavjud7/blpO9VCrh6tWruH79Ol555RVj3e7s7KBarWJ5eRn1eh137txpi98mGHNBU6VSQSqVMs7UZDKJQqGAeDxuLPhsNnvKyUpKR0bB8LgEYAnOzDHjum7bxiAyMyctex1G6eWD6cX6GwSRXD7lPOmTQaBqBqEPvUoYy/0IwC+6rvu3juPkAfyN4zh/cnLsP7iu++9kYcdxbgL4DIBnAVwC8BXHcZ5yXdd/5+GhdCxezuR+1EtxHMc4Nr/5zW8imUyiVCphbm4O169fN+0nEglsbGxgf38ft2/fxsjICCYmJjA9PY3JyUmMjo7i6tWrAB6C+c7OjnFOrqysYHV11XDXTGHgusd7e1arVQBoA32Z/CsajSKVSqFQKJjVrDJNsLwubR2TZpFl5e/k27l2gOGPPC6dtExuxvO7Fan8BlG8qCb5+3ny90M5LYHg7rruMoDlk8+7juN8B8CMzymfBvA7ruseAPiu4zjvA/gEgL8KaMf62Sbd8ONnGRrZieg49TDOzzDX63d9ksO2nWMDQK9+NBoNPHjwAOvr6/jggw8MeDNjJetg5AvDKJlfnlsGTkxMIJ/PY2xsDNFoFFeuXDHx5oxXZ4jj3t5e26IhcuOMtqnX63Acx6yazWQyZk/ZRCLR5kj1erbkjEWOAaNp5KYckr/X0Uv6fvUC0lJ5BJWz3TdbhJQU/Rsdw4A9p7ztHdVteL3Hso9BfPd5SBAtajMABkF0v/UmOVI64twdx5kH8DEA/xvAywB+3nGcfwzgmzi27rdwDPxfF6ctwl8ZBEoQAF40CdP/fiojvwfZL/6bL6R8MeX/7e1t7O3t4b333kMul8Ply5cxNzeHUqlkgCKbzQI45skZ795sNrG+vo6VlRVks1mzk5SMlhkfHzfcN0MMmQem2WyiUqkY8OWCJoZFcpUqAOvqV7+xlXlxeC5DG2XIIctLnl6Ojd9L14n0Yr13Y0XLPD1nId3UHTag4EmQTt7/0ODuOE4OwH8H8C9c191xHOc3APwbAO7J/38P4J8CsLV+6o44jvMqgFdDtt1e2RnREUNpF/lSaSFYkILY2dnBm2++iXfffRelUglPP/00ZmdnUSwWkc/nUavVsLm5iVwuh0wmg3w+b1bHxmIx1Go1s4MUnankuhlLzwyUvPfMTVOtVk36ABkDD7TnaLH1H2h3ZJKf17HxBH4b+MnzNacfRiSVE1ZsvLhNeJ2dgCIpqn4pKF23FFv/be+7VqpaOgX9i+4XCSOhwN1xnDiOgf2/ua77PwDAdd0H4vh/AvC/Tr4uApgTp88CWNJ1uq77GoDXTs5/fEfYIv1WThpMegkjCyu2a4hEjvdlXV1dxfb2Nt555x3kcjnMzc1hYmICs7OzbbnVM5mMiWLRfWZWy0ajYaiVWCxm9owllUT6hQArHam28bC91PJcKiyZdoCUEC1yDVAMb5UbXVP8wFdSLl7UGzcXkekInkQuuxMwfhKAO4yEiZZxAPxnAN9xXfdXxe/TJ3w8APwYgDdPPv8hgN9yHOdXcexQvQHgGyHaOfVbLyAV1toP4irDSCflvSwpL+982BdZXl/QtUj6wa+sV7sEVh09QqF1yxS6S0tLiMVihpdfWFjA/Py82T4wn8+3pdVttVom3j2bzSKZTBprUoYy0rFJPlyGPurrIDhKgCRoklOnc5f5Y9gXm9LQ/Lxets/fJY9t+866uGOU7K/tHnQK7Dbe288ZKs+Rz5Ntpaytf2GOd9JnrzqD3g/9W6f96IST95vd2sTLr9VvCWO5vwzg/wbwhuM43zr57ZcBfNZxnBdwTLncBvDPAMB13bccx/kCgLdxHGnzc8NImfMRmwLze6g74f5tVrrf75qzj0QiZmn/0tISvvWtb2F0dBSzs7O4efMmZmZmkE6nTSgj8HBZfavVMil/+WLTMUsAJijzHGnhAw+5d9lfmfhLphQgsK+vr5uUv3J3Jbl5Nv0C0voHTnPXYcGFY+blSO0USLzOtVFHYcGmGy6/F/ED6kGyzjsZv26k02sNEy3z/8HOo3/J55x/C+DfdtQTi3RqEYc97mXNDqI86n71QiFpB6MEvlqtZoD+O9/5DmZmZnD58mUsLCxgenoaxWLRAGQ2m0Wj0TDhj9KSZFhkNps9lSdGzgJ03ndyyjIKR+64RC7ftgGHBHR5jfLls1nn+nvYmSnPtVEztplAUH1hQUIqGM3Bnyc1dF6W7qBLp2P+2KxQHcrgiO0hZE4WHiN3zeyQd+7cQaVSwd7eHmq1Gubm5tpyzORyOUN90OEpLWVpOcsEXcBxYi4JiuwP+yHTB/BcKgiZtpf/NUeprOauAAAf0klEQVQvRdIxfpa710tqK+dHPXbj9OwWmB8F1z9IlrmXDKrSuZDgPqiDKcX2IvjFmvdTtKWjo0UITl7UiledspxMWaB/pwT5Q2QfGo0GKpUK3njjDdy6dQuTk5NIp9O4efMm5ufnzfdMJmPCJeWqUVrTkrvXioC+AslpS7qFdMzOzg7W19dNil/J7WtLXlrukrP24sxtdIbk7fW53TwfXrOJoPJe36VoSiaoziCaUL8nOjCgF1+YV5uyrjDj00m6EK9rCduvfpSlDAS4a/6vEy64k3O66ZdfW7ZIh6Dr6NUSCUMp2drQU2palhKgvZyyNqcc62Q5SXnYpvKkD+R/lj06OjK5WAiai4uLiEQiuH37tol7n5+fx7Vr11AoFDAxMYFyuWyiaAjg1WrVROPQEudxmUxMtk3grtfr2NjYwPr6Ovb29sxCKr05tt45iW3JGYAGaq1U5EyA4yF/4zvB8n4RQF6/28A9DPhI4Asqr5Uay3mBp5fT1u9awoR72vqknedhxEspB9FsPKcXH5ffudoQCCMDAe5aLoJl3qt4KYxBnYb63RPtRLUd18e8aBv5Esk872tra/9/e9cfa1l1lb913zDMiFjKdDADTKQTiNIYO0WikBp/YDXYGOsfJKUaRUNCNDWp8SfEpFWjf5AYqUaCErGlxkjrVCyZWGvDjzRNlDoDtIWOWEACE6g4U2AyOPPmzcz2j3vWY9311tp77XPPvffc1/MlL++ec/bZv87e3177W/vsg6NHj+Kpp57CRRddhN27d2Pnzp3Ys2cPzjvvPGzbtm1910gtt8i3LeVvll9Onz6NEydO4MiRI+vfl+W927XOrn9zevJPI0JkcsBgycojdDkYe7BItwt0Fde8JB5ttOi682Yi0YUJkX14FoVekvu8EHXCliwceVz7YL3VJrk0SnHo84tubHJayyQuz0nCte6T11dXV/Hyyy/j6NGjGI1GOHDgAC6++GLs2LFj/YPg/FYsr2pZXV1dj1MTO1vlvHsl72nDn9WTTlf+01a3XIfO6fL/NhZXCdGZrUVgufhKTuFFGR5dDlLWOwqyn5RmHF6e9MDQVV1N036+5cg9StTTxFV7v9XgoumVyJ+o/LFwmaZXpqj+64WT586cOTOxFl1v2MVyDw8E8u1NJntePcObj73wwgvYsmULzj///PVtEHhPGb13Dk/TT548iePHj+ONN97AsWPH1vV1/RFslm/4mGcFLCN5ckuuTnJvZsr94y2LcJYkK4lJz6Qs0vIsYg8RfT/XpqPplOL08qYt/VrIgWIWA/pSyjK1lSkJS3cmTRaAPRJHLfdomAiJ1hJ0zaxB50Pq2vK8fvlI+w64/mQD9Tq1rGudBys9mS/PUpLb88pVNZxXeR8TEN9/7NgxHDp0CM8999z6C1Dbt2+f+Bwgv00qv4XKzlj+Y3LntnXq1KkJ6cVabSMHIa1Vy6WgVj1a2raUZqxOXatF67zptK00pC8ltzJHk5kXpz7WK4py1rOXXsT/4PGB1Y/kYJ1Lfx7QCyGWkty7xjSj77IjWvbcwGFNM/m8N+Ng1H6I5OzZsxscrlLG4TxY+6/wMkcm/tFohK1bt65LJfwRbiZ3YHKZonR8yq0RmOylrq41eP3mqgwrnavauo86974VkLNwu7R+F1HnUd3eC29dn9mukH1FbmdD6zcwm5G3ZsnUtNBWieWwlMSYg9eJNJFrCz0yw9B5tuQZ/XUkwF5xw5asJnz9QlNKaf0LSkSTW/PK5Z86vZMnT06Q/tra2gSxS2eqJnn5UpP8rS1vPYvSpCOtdS3JRDX0PiHS9qw6ACZf2tqMKNVNRLLKoTfkPi8re5HW/CzT7kL/97R/SfLS+uUwVto5P4LU3DXZWZKBNVVmYpfOWflZOyaGLVu2rJ+XcpMG6+qWFS/PSXLX1r1cFmnp8NLKl/USJa8+El0XHxWJDHQW+lgfXWJaH0tvyF3vJ5KDtlQjMkTO6rSOvXM5WFp/KT+zhpVOpLFoK1GTYmRpmPaLaP3QI1nrgybaArb+s6NVwnveGtryZr3dInd5XpbHIiJ5ztLQOV1vALNgrS7K9QFr1mrFEbk/JzVM06bZF6KRI/ga6TU3c6/R2Oc9mEyTXm/InRHZR5o7YY0EEu3kNcilH+1oywppcctOppc4WnVkOdmkU9daOslOSdbkZWdj653lGCbmlZWVDWQvHYQcP+dV6+Pen95rhvOty6NJQw5EentgL6yuJzkoROrVO5Z79U9rAeecwl5evDissN4e8F0SrpV+pFyzRm09SvSO3IH6VSqzTqtPqKmbkuNzWnQRr7ViQ5+TRHbmzJn1j3zItzoZPDAQ0cTn9Vh3t0hRr1Vn653DSqte7ute0tmtdeKaOKxwFuR9NfvJWH4MhrfCxWtjemBk5Hw7Xfi6uibvUpylGU3NTDYXT/S+UhweekHuuqJqdTxLR62ttEgjnJeztK+omQbXxAm8Wd9axuA02VonovU17rqT6RmDvG4REJOb/OM8cT6YzKU1LslcyhvyPt1+pd6ud5TUaOtI9Cx1bxag02yLiAXthZm237aFJuYSUc8qX22cqlH0gtxTGn94wXN2WahtFKUpq5dGrhHoBiunulb8ubJFy+6FsfKlYa1KkecZXuPWaXjrti1LWm8fy/vJsHwiwffwNalJsxzHljNb55a1RUQTLwTloHV9rgNN7tpq1k5TPicHAplGidhlnHyP/O85ZK12Zw1WevDMzQIisk2pX0WsYH1c8jt4Mk0u3tw9Vt+L7CVTc93KU+31aBhGb8id/2RF5yyC0hQyl5YXp4R2OnG+2lqv01q8EfKehcQUrWe96kWG53rU1jmTL69rt6wnvfEYf7GIiLK7Pea2NvDakyRAy0L3iFrmU+vzOk2+T6dtzVxyhOr1DW/5pL4m82ylrdNrS+4WatppV/2tZFiVDBzvOMJRHmZdd70gd43INE934rZpWOl4DUNPl9kqnCfZepi1vg6UiT63Wsg6z4RJRBs+piHXtjN4KwL95q3cZZJfVpLWvzXgyNkAMPl2qYxXvozE4Xig0ZZ6zoLUFrtsc7VTcy98RBaZN/TAIGe3uXD6Wm2aGjVk3+a6N5Mt5WuWiHxDdRuALwA4twm/L6X0ESJ6O4D7AFwI4DEAv5BSOkVE5wL4BIDvB3AUwPtTSs8X0thgrQOTMkJOn5ynFm5ZTVKW0WEZi+pc80LNMlAN+Xy9JZRs8TLBy7TkWndrHxmZjjWoy/+5wZoHAGnxygHP8hUR0cTKGEuu4XAlRJbrdbHuvEvUyDbzJr8adDXznucAHLHcVwFcl1I6TkTnAPgiEX0WwG8AuCOldB8R/SWAmwHc1fx/NaV0ORHdCOB2AO8vJZL7cERkOd00yMUl5SIdXp+3Orb8D+S3x41aHJ7lY1kPmuwi0BIQ/1mk68lFNR83IHrTYSqhiV5uZMWzJuk4TSlNvLDEK2T0YKDzJ2cQUo6Rsouldev92zmcN0uRcpQezOSxJn+9Nl7mwTpmgtfplZ6J1da9tNoiJyN58PpVDXQd1uajTZqWL2meg1nkG6oJwPHm8JzmLwG4DsDPNefvBfD7GJP7+5rfALAPwF8QEaVCSSKa8iLhEW9Eu/d0zxJZcrpMfnpNOcefs05luFJ5dHjpZ9CDhNz8q4RIGG29AxsHCLnnDICJNe9Sd+dB7uzZs67DVUps/N/a+Etr5JxPqcFr6UaTrCyTrBNJuB6BRzR4GVbLTTK/GhbZSwmy76vDasixRjKxZnBe/dXMkiKO4Fy+ahHS3IloBcBBAJcDuBPAswBeSylxbzgM4JLm9yUAXmwydpqIXgewA8CRmozVjnDTjIhtG7GckkcIVcNycOm8SOu/zYPWDsfogORJZR6shlv7kpnclsC7V5OdlCL0c/BmfNI/IfOpiViSoiRLeS5qiFiv2FszKv28LcewN3OzfufgOcE9K98ra46kaoyKkh9NDjyluDQiYXUdWgOtfD65/e4jGnybPNYgRO4ppTMA9hLRBQDuB3ClFaz5b7WADbkmolsA3BLMZxUsApv1bKCmo7eJmyFJugZd6LCSTEt5kIQxi3qRyySt2ZDsXJ4TT66E0dtfeM7RSD1yeaWEJPPSJ03cQltDYpkRmRXVhJ8lH0RRtVompfQaET0C4BoAFxDRlsZ6vxTAS02wwwB2AzhMRFsAvAXAN4247gZwNwCMRqP1mtJWowgfzqd1/zTxzRLTzhqActksHV5f1/u+SDBR6nXyuQZcstwj5daWqidZyeu6rJJYrTxoK92anss8yGsANkg2Mi6G3i7BKlsENbMvDXY2MyIaczSNNmXR93Ie9blcnNOkO2t05beYZpCIrJbZCWCtIfbtAN6DsZP0YQA3YLxi5iYAn2lueaA5/rfm+kMRvV02PG2dRnTl2uMu9C6v0qcZsUv5ZkQI1oN2XmpLXDt9pY7NkLtCAhun1NbLQ6WpfkmSsVAqv546S1+BJPNTp06Z98s9bjRkfeSWQvJfrsNbsxBPYtJLcmUYvXbdkwdyg7nMs5VX71wXlmpO3izJhLn0I2XJXbcMG43SWvm2Ttu2g1fEct8F4N5Gdx8B+FRKaT8RfQ3AfUT0RwAeB3BPE/4eAH9LRM9gbLHfGMlIjtSshzqPqW2ttd9Gd4+SeddoY3VLLVa/eCQHgNrZiDXwRuLgNqAHmhxy+71Y+jsPUlYYGU5b/TmL3iqb5UsohbFg+Wiiz0P6LiIavjUAlNpvLalyvnQanoFXGkQ9dDGzL804upC7qmZ6fZjSrKyspO3bt7vX2yyFLD2sSLmnJXerkXkO01KaEX27lK/c4OMta9T7tchZlCYQba3LOD0r1JLQ5DLHXDgNb2MrCe8ZRqQreU0uWcwRu7zXioOhV+rIutWzI4t4o9a3B6ss3n99Tw2mIc3IwBCJvzQDAepX10Te89DtJIISB62urh5MKV1t3dubN1S9UW8W0gffX0qndK7WatH3eOSnw1ukm0NkkIlYWN6U3tJ9U0obVvtoqUdLNzKs1FvlunQ5YFgdSB7LN1WjhKAHMR2//vapdOTysf78nyZDy2KThB+dhXrWoHU9MhhayzOl9a7LpS1jLSN5eZwWpXXu1uAzbT/1nPA1cUwLq5w19dsbcs9N/aIPIxefVVERyURbrhLTSkN6mWI03/p8ybrX17VV7IWTxyUr2opTlkUTpL7X8gPweWCsx1urYnSea7bDlfHIcul8WwQWWY5XIj6LHDkf+p7SRla59iyfpzYurPzyAOnNhOTAJAe6CPlEZsOleitJVhH5o2QA1c78c1yS65/yWqT/1gwqvSR3bwrfJTQ55MLwbx22lLe+L3mLIDpr8Igi9+YxwyImOZhaViTwpgM2d67Uyds8o8jHZLzz1owikscu9dyI1AfEPnOnj60BvrbcpbK2kVi7hlV31hupXljAn3HkZmA17bU35C4hp/26YQP5EXCWKKXbZvrXB5Qsvoie2AZ6Hbq2UOTMBpjcfsCDHgRKA7COLzo7y73A4kF23JLlLyUQTbJeO8wNKvK3J3PU6s5WfkpSgqwDa0Bi/TqXh4j23kdYbUuXF+jG8Qr0hNythmnpuhJ9IE49qkYeyLJY87kBVfsJLPLX2rfVYSMOU/nmqSbUiDVfW986Dbm/jMyrBYu4I9q/Fb+0+vrSZtq8GQrk+6o1GGj5rdTHar5klYsnCouQgXo5yZvl5FCjZPSC3AG7w+cIPqeJlRyIUamhlGYkfEnKKcXpTaFz5fUaVXQ6npPFLGK30vF0fb4noh/OQpKb1iLyyNr7pqnVhnMOQr6nZrWGBy8Ozo+WBUr6t2eA1eSrRLJW261prxHUOCYj/c87V5oFtiH3GvSG3BmW0ywCyxkYfegWCXtOQytN/h3ZjyM3mvd1Ogn4jlw5KGvi17p5yXKpJQoLljUvEVkuqeE5JPmcXuqYs+Byz1ta/rWWps5bmwEil+/oLKSURheDa63BlNLk5m9WWywpBG3yXXKCR1YaTaNQ9IbcPfLQ5/h8Tje0HkjXo3/b+0tT1HnITbr+NOFZVqZ+UcgiBiv/etsCr4FbMzY9WPBXmKaB98aqh5KFFlnS6BGEtKAjK2tKecvJQta9EblHykPes88RYBf6eMnfUIoztyJJGiK1+aqFfh6RNKbJR2/IneFVQFS+ADauLmhLmG1kmJowbTrDolDSD9k68ix4YOPKGX0+om2XnE25ZzDLutVOT2+lSVsL2IpHH2tNPPemb+SFGk9jr7HGa8sYGQyiBF8ypGS704N8SceXxkdO1rLyJX/XyMm16B25AzHS0wRSmmblKt57OSZnMURkGwt60CnJQaXpItDOSSsbv3z5SOaJf8u6kB2CO4WMS6+Akc/Hk9ws652P5f1Scil9+Jo7q56Olyz1yDJHr7714CX3i7FIvYb4rAFBGzQlzVwv7fXepPXStvI87YBpxRcltFI9lpZx5vKem83q41JcOdQYrbXoHblbFRUh+1ynLRGkZ+HoRp07bgsvjhoZSQ9wuuGV1tuWIOPjl408spFWowynic/68hLfxzsY5hxQXv3zapnIoJgL1zVKdZ97ASxHYm1XsMwLs5I3+gZLtpqHxJpD78hdYtaVJOO3iMSaMs3ygcm49QZWOXgOJSZIS/aYphzelNQacLREoEnLsuytMufIXqbL1r1cEpl7GUfXg/USVM4ZJy15T16S6ZcsPjlbyp3TaXp1Nm94xOv1ZSu83tlSIyprdTHj8Gbn1v1t/AGla1Z9RX1zvSb3GpR02ByxeRZRzYZlUY0/d81KL9JBI5tc5dLWFnEJ/Np5DiWJgNPN6ezR1R7eDIDTkI7YNoOafnlKx+G9ZMQdMaU0sWdLCVIP9p6dJhmrndRuxbBs6MJ3EUVkcCjJM13lMxpP78jd6oSRFwasOPQ5T9v1HBm6w+pwmuDkPjFREqklm5LThYlE50tCO3KmyZNF2N79nvVp5VHKNnoGkrOU9bXRaDSh1Vt1Y21jwOA8yDCnT5+eePZ6wzRdJ6yHyxVHEalMPktt+euZZM5y57asfSiyDLkVJTI/JUL1DKc2g6olR5U29JoWOr/8rKKcYakApbTk/blBxPvtoXfkDnQvfWgnmH5YbfVZyzKSllpOprA6iTf4lFAKXzslbdMho42/DaZ5Q7P0zPQSxtFoNEF6Os9M7HIHSg1rANF+i9xsS/orcjMbGbeVF1lW7eC28pxzFkcxa2s6twKo63TawstfZCblSX7yXBS9JPcIZv2ApXUbJSpvZJWd1HN68jk98ltWd6TsMs42lntOr5Tx6zdU22qROUjdXiLSASMdih24HKe29KWVnFJavy63JpawltXJcHq9vv6ttxSW9+TkIYmcQzb37KMS3aKchZafZR6yTO6tYi9MCSXjUcpzHtbW1txrS0vu80TOGRSRYazprG6c3v2lV5Yt6BmDZSVGiYHj0IORV56o76FPkNa7tTeNJjxv3T6jS61bDjpENDFr8FYc8X2RtezLiGVpV7WIzNRqyh75huo2AF8AcG4Tfl9K6SNE9HEAPwLg9SboL6WUnqBx6n8G4L0A/q85/1ggnQ3notZ5yYqOxJWzBLRlLX9La0hr9NLq015uy7K3BoqogzPqQQdiMk7OAW3FFXFS19zPccy7I1u7Skp9XD7z06dPr1v9umPqbRlK7Utr62z9S72e2xgPQN4bu/JlMi/dnMbetwFBGw7zaBelfWFmVUeWIaWvRxGx3FcBXJdSOk5E5wD4IhF9trn22ymlfSr8TwG4ovn7QQB3Nf+ziOzLkruuw0asU9lIShZnZADxCBuI7QevBwwLluYoBxhLAtLkpNPXRFRK38o/l08uY6vdx8Wb1UR9Il4+rTQicVj36vu1jANMSjmnTp0yibYEaZXL/9bSR11WJn1vh0xP2uNn78lgnK8IvLJGSLHW+NBos3y4ZkWZl0Yt4bcZIDrV3NM4tuPN4TnNXy6F9wH4RHPfvxPRBUS0K6X0cjhXHSDSkbQllrvHsqotS8cifE9HjzwoyyJeW1szSVrHazk5I1ZP7nqOsIkou/KkhLbWfw6WJOZd5+Pc87RgGRa542ngLZe1NGG9ooefv7fiZGVlZULKkdo/4K8CyqGLZzpvfX2zINQTiWgFwEEAlwO4M6X0KBH9KoA/JqIPA3gQwK0ppVUAlwB4Udx+uDk3V3IvQZO0JkvLOvCse2uAsF5c0Za0JGOPUCOdw/pEnRWvtMhyFn7E4tb5kvKKJgTvJSLvvKfjt+3YpftyZB6xVEtvxUbzIeG1h9JOg9610lp9PieJXz8H6xu52qEXIfvaAaF0rU27KMksXcg+XVjy0wxmIXJPKZ0BsJeILgBwPxF9L4DbAHwDwFYAdwP4XQB/CMCqlQ05JKJbANzS/N5wA5NCtJLbPgxNftZUOBqP1tVzg4GG9xAjGjynzSQvX+GXebJI3cuXXiViQa+U0b8lWXgWvbU6w6sLr0NGyGCWFl/UMm+7B5AEl0fv0hmZjWlLnhGRHDgOa+CWx9bqDa8Ms9LOo+WZNo1p440MKDMnd5HQa0T0CIDrU0p/0pxeJaKPAfit5vgwgN3itksBvGTEdTfGgwJGo9FECXi6V2NJ1lZCZC8aHUZXfsmqjjTctg84NxgAk05Wr6yakKWeq/0FFnlH3lTVcdfCevOTEbGq2+6rU9NxvRmahWkHmWi+Ss/Fuq7lPEvqyRkpnuSjdXwZb0QCy9VZWw2/1qFc0vkj4Ut9fe6WOxHtBLDWEPt2AO8BcDvr6DTO4c8CeLK55QEAv0ZE92HsSH193nr7ojELa6QNahuj/K2tKknwbLXIT+lZDVcv42uD3Juf1myA8x3tjFaYWousNOOomT1En5m37lpKKLOGJ+14M3G+Lp+pzKc2TOS5WSNn6Mwr3a7LGrHcdwG4t9HdRwA+lVLaT0QPNcRPAJ4A8CtN+H/GeBnkMxgvhfzlNhmbB0GWdO6SpR69L4dZNF5tQUZnFJKk2ApjSKmHO6TsmDlLsUZey6E0k+J88jWWqiS0g1U7BSOdeVptvStHsYyHSbWNA7h0XiI32OZmaN6gqzV+7T8qlSla5lw5opADVxekrwfCrrmA+uB9Ho1Gadu2bevHuuKiskINSvuBW3F2HV5KT23jsMLozuORor5PyzJ6DTp3JLk6R9aj9dq+XslTg64dqFaH1MsYtRVes+TNs+C9pavTwJqZaH+Khxy55+6LyBse6Vn6vAaXSer21gDNedXGyCzg9U+r71qzX+86sNHoidyjsbq6ejCldLV1rRdvqKaUjp84ceLpReejY7wNwJFFZ6JDDOXpPzZbmYbylPFd3oVekDuAp73RZ1lBRAc2U5mG8vQfm61MQ3mmw/x38x8wYMCAATPHQO4DBgwYsAnRF3K/e9EZmAE2W5mG8vQfm61MQ3mmQC9WywwYMGDAgG7RF8t9wIABAwZ0iIWTOxFdT0RPE9EzRHTrovMTARH9DRG9QkRPinMXEtHniejrzf+3NueJiP68Kd9XiOiqxeXcBhHtJqKHiegQET1FRB9qzi9zmbYR0ZeI6MtNmf6gOf92Inq0KdMniWhrc/7c5viZ5vpli8y/ByJaIaLHiWh/c7y05SGi54noq0T0BBEdaM4tbZsDABrvgruPiP6z6U/XLqpMCyV3Gr/1eifGe8C/A8AHiOgdi8xTEB8HcL06dyuAB1NKV6DZJbM5L/e3vwXj/e37htMAfjOldCWAawB8sHkOy1wm/g7BOwHsBXA9EV0D4HYAdzRlehXAzU34mwG8mlK6HMAdTbg+4kMADonjZS/Pj6WU9oolgsvc5oDxh4r+JaX0PQDeifGzWkyZ+K2oRfwBuBbA58TxbQBuW2SeKvJ+GYAnxfHTAHY1v3dhvHYfAP4KwAescH39A/AZAD+xWcoE4NsAPIbxXkdHAGxpzq+3PwCfA3Bt83tLE44WnXdVjksxJofrAOzHeOuPZS7P8wDeps4tbZsD8B0A/lvX86LKtGhZxtv7fRnxnanZIK35f1FzfqnK2Ezf3wXgUSx5mRoJ4wkArwD4PIBnAbyWUuI9B2S+18vUXH8dwI755riIjwL4HQD83vsOLHd5EoB/JaKDNN4CHFjuNrcHwP8C+Fgjnf01EZ2HBZVp0eQe2vt9ybE0ZSSibwfwaQC/nlI6lgtqnOtdmVJKZ1JKezG2eH8AwJVWsOZ/r8tERD8N4JWU0kF52gi6FOVp8O6U0lUYyxMfJKIfzoRdhvJsAXAVgLtSSu8C8AbelGAszLRMiyb30N7vS4L/IaJdAND8f6U5vxRlpPH3cT8N4O9SSv/YnF7qMjFSSq8BeARjf8IFRMTbbsh8r5epuf4WAN+cb06zeDeAnyGi5wHch7E081Esb3mQUnqp+f8KgPsxHoCXuc0dBnA4pfRoc7wPY7JfSJkWTe7/AeCKxuO/FcCNGO8Hv4x4AMBNze+bMNat+fwvNp7xa9DD/e2JiADcA+BQSulPxaVlLtNOGn85DPTmdwgOAXgYwA1NMF0mLusNAB5KjRDaB6SUbkspXZpSugzjfvJQSunnsaTlIaLziOh8/g3gJzH+JsTStrmU0jcAvEhE392c+nEAX8OiytQDJ8R7AfwXxnro7y06P8E8/z3G34Rdw3j0vRljPfNBAF9v/l/YhCWMVwQ9C+CrAK5edP6N8vwQxtPBr2C8N/8TzXNZ5jJ9H4DHmzI9CeDDzfk9AL6E8fcG/gHAuc35bc3xM831PYsuQ6ZsPwpg/zKXp8n3l5u/p7jvL3Oba/K5F8CBpt39E4C3LqpMwxuqAwYMGLAJsWhZZsCAAQMGzAADuQ8YMGDAJsRA7gMGDBiwCTGQ+4ABAwZsQgzkPmDAgAGbEAO5DxgwYMAmxEDuAwYMGLAJMZD7gAEDBmxC/D80iQfucEjZ1AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(im1, cmap='gray')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(im2, cmap='gray')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"아래와 같이 ndarray로 불러온 사진을 cuda buffer에 넣을 수 있다."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"im1_g = cv2.cuda_GpuMat(im1)\n",
"im2_g = cv2.cuda_GpuMat(im2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"cuda buffer에서 host memory(RAM)으로 불러올 때는 download() function을 사용하면 된다."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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/aZnLzxyzZrN5CuSbzWZbxIwEeD3mfgDP/16bddjGtNNFSN1EkwzlfGRgwL1X8PPjZL0eWq9ws7APql+b3YpNUwfxqFoGxbncTZ3agRnUrhewAw9B0c8xS7qEoK3/awpGKg6tBGyUydHR0SmHKgGdfXNdF0dHR6csZh0+qQHeNga2Lf7Y76BQyLOiETpRGo+CyrC1aQvVvGgyMODeT9HArn8D7DdUW3xe/GYv/TnPcylhwb7btjq12m396cdsSXLtui4blcKdg2KxmGmfoO0F6gCQSCRO1W/rO7l2WuwS5OUzxZW0OladaQtkhEssFjMhkzJGXvPtmsqxjYWkd/RCK13eRmHaJCyN8Kj56E7Fj3obVBlIcO/nFN5LA3fahtfnsOfL/oThzzsB2k5BsRdePwiow/a/0+Paordx7XI1p3bOahrBRrNoQPdztEoFwHvKz3zmWJa/HR0dmcyOpF7YZ7kwie1JCkfz8ZwBsF0qCFmfLnce4mcF81rYnyBFosdTlgnbtq1+fY6f8eZnwWtFdpa8fTf3byDB/VHKRZ6GPQnipWRtYagEPk33SGCXjlSeG4vFTjlZbd9J6UihYtEOR035EegPDw8Rj8eNlU1qhta57C8dkzZrvRM60UvOKvLFC6SHcrZyIcA9DOBeFI7sLHjzXumMMNZ2vyz2XvqhqRXdF3m+LCu5cW2BS2vdBt6sh1QM6+NxOUvQ/aY1fnR0BOAh/07gpgXL7/yNgM3fZRZJTe3o8ep1/OX5/XSSes22HrWEpZEuolwIcD8PGXSl0It0AtqPQjrpgwYIbaXr+HZbOVtUjKZpCOwE9Fgshmg0ing8bgA+kUi01S/BVjpJE4mEiX7hKtNGo9HWPx6Xq0+1AzWMpW4rK/voB9hyhuBVry7L/nYDkr36sh6lnNUMR3/uRcEOJLjrRSb94OD9HCLdcNC99CVMGa8FPX5WetjrsEXidFKfV/SJn3iBbpg6JfgG1a1pGFq+tjL6dw36tv7E43HE43EkEgkkk0lEo1Gk02kDpAR113VxcHCAo6MjNBoNQ6Mw/FECub4WWRf/S66awB3mPsryvD7Nwdvet27BS/og5DUAD59pGdGjnbj6XK9n18/B6/eue323XYdfe2HqCJJu8KWTcwYC3LXFdZ7tDnJ9j1K8QLaT8mElSFlIq1qW06AfFEYpgQWAiZLRNAwt9VgsZmLgs9ks5ubmMDU1hbm5OTQaDaTT6TZFQRCvVCrY3d3F9vY26vU6Go0GDg4OUKvVDNAeHh6eipxpNpvGsteAKzl8eW02Cz2s9Mty7rYOKrtO+/Sorf1H3X5YGQhwHwQ5a2D2qz+sVRq27qBrCTMr8gpXDNtOmFDBIGvddp6XE1Ue05y8BHH+SacpQZ+8Ov+Pjo5ienoaV69exY0bN5DJZAz/LZ2m2grOZDIYHR3FxMQEtra2UKlUsLW1hWaziUajAQCGqqEQtBn+qBco6cVP0nqXvL9UGDbgf5TA1G1U16Ps8yD0QcqFs9yHMhSbSDDwcqJK0Q++jmmXlru02PmXSCSQy+UwNjaGV155BQsLC8hms6YsretGo2GcpMBDRynbLxQKyGQyqFarSKfTyGaziMViSKVS2NnZweHhobHy5XWwzoODA0PvADAhjdK5yjHQSkYqBDkuXha+VkyyXhmZ06ucJTgOCvAOmgwkuJ81F3VebdjkPOgnzVXaojh66UeYcQgzG9EOSH1MUhB6H1LgdH4THe1Bq5Y0h3a6kn7JZDKYnJzESy+9hJs3b2J0dBSpVOpUn+kgJejJvOiSImK/M5kMEolEW3SNDHlkvTKkkiGSBFVb6l+dpyUM3y6pLM4QvKQf6YBtfQHsOWm081C3rR3BmrqxPROdip8zWbfRLQ5o34KfH8CrH51QcAMJ7oMi/aJqHpVPwUvOoi/dTrnDlLHx6ARZP1pJhygS1JrNJgqFAj7ykY/g2WefxXPPPYexsTGkUikTS07aRjs3ZTglLWrb9RD8m82mibDhLGB1dbXNmUgl5Lqu4fjJvetrYt3yvLC5Y2QZP64+7GKgfpYbdOkGC/yu+zzGZQjuZyi9Wrhn1aYs59W+rZ5elZ3NYpd12zh4yaPLGYlXvwm8Mq1AMplEKpXC2NgYbt68ifn5eSwsLCCfzxu6JJFImBWeMtKGIhN/ERylFa/7Q8ubABqPx7G7u4tLly6diqSxWdeJRAKHh4dW2kb6DiisQ9JFvUo34HMWoPU4KIdHIUNwf8zEFj52HhJE9YRVYl7AbuPbvRSQ67oGtK9du4bv/d7vxdNPP41CoYBCoYB4PN7mZGX8OtDObxPMdZZHGTIpLXlND8jsjoyOOTo6wujoKLa2tlCr1XB4eIhoNIqDgwPE43E0Gg3TJhWepqyA9j1J5QzDxrmHFT+6Q3+XdBTbe1TP3lDsEgjujuN8HsA/ArDquu5zJ7+VAPwugHkAtwH8pOu6W87xnf01AP8QQBXAT7uu+7dBbWj+6aI+ILrfncap99KWX/1nFREj67CBm41GkWIDAwKM5JalRSsXzegwyFgshmQyiampKbzyyiu4dOkSSqUSJiYmDI3C+iUwS3DU/ZMWuwR2ea4EeHluNBo1ljRnEul0GplMBoVCAa1WC/V6HQcHB6ciXej8jcVi5nzp2NV91mNki6OXVIx+3/y+a+rHJrJvfs+BrNM23l4i6S+pfG398OqfXzudxsF3K+c5Cwljuf8XAL8O4DfFb58D8Keu6/6K4zifO/n+SwD+AYAbJ3+fBPAbJ/99ZdA46YsonYC6l/RTqQbVpS1xCUQEdl3GFtcei8WQy+UwOjqKF198Ec899xxGR0dRKBSQSCRMVkbWy3Ns/bDlcaf1LZWDdqDarlcqJ+AhuMfjcWSzWeTzeRwdHZk4eJuyss0IgNMA0WmK6jARML3QK4POsz+q/p13m4Hg7rruXziOM69+/jSAHzj5/F8B/DmOwf3TAH7TPb6KrzuOU3QcZ9p13eV+dXgop+VRKEY/akSXCQM+trwj0uqTFE0sFsPExARu3LiB69evY2FhwdAwhULBxKwzZYDjOCYPjAZmphCQFIgEVKkMJDja6CN5XB6TionWezabxeHhIXZ2dk6FfNoiZKT1TKtdUjZD8ZcncZy65dwnCdiu6y47jjNx8vsMgHui3OLJb6fA3XGcVwG8evK5y24MZVCk23sYpJjIn5PmKJVKuHTpEq5cuYJnnnnGWOl0QjLKJRaLGctdA7qsT9NKXhShBgc/+srmKNYgzwgaXU72xVZ/v96VMFTLUC629NuhanvyrCrTdd3XALwGALFY7MlTqxdA+ql0GVUi65X8sG5PguHU1BRu3LiByclJXL58Gfl8HqVSCdls1uR3IW2STCbNClPSIF7ASTCXGRe5eIh0DDlzJgtjWgI/kdfJPzmLYD1UPqxfK7qwCqTTFASStx8C/OMr3YL7A9ItjuNMA1g9+X0RwJwoNwtgqdPKuwGVIF6yH22HdS72S85yRmPji8O05xeuqEWCuKZYbLxvNBpFMplEPp/H9PQ05ubm8NRTT6HRaGBkZASZTAbpdNok7RofHzdhjARH7ZTUDjgZK85FSARy7UClsmDfZJ1hrlv3g21LC57tyGgT6cCVykeKpI9kNI0e06CFMdLf4VeP1zXynKD3ze+4jkayfbbx5F7j/6gomF7GIKx4zSRt0i24/yGAnwLwKyf//0D8/vOO4/wOjh2plfPg28+D1nlcqaOzui5SDl6RCXL/0Gw2i6mpKWSzWTz11FN47rnnUCqVEIlEkEqlkE6nkUqlMDo6inQ6fYo/l1w0AU/mY5Ex57u7u8bKpYOU1rjN0aqtcK9rChKeH41G0Wg0jOLQUTb6HPm/27aHFvqTKWFCIX8bx87TsuM4iwD+FY5B/QuO4/wMgLsAfuKk+JdwHAb5Po5DIf/JGfSZ/erpeK/lH7X4zRLCzjDCWN9h2/ACEC+qpVwuY2xsDJcvX0a5XMbCwgKKxaJZXEROOhKJIJlMnoo/J4DLxT+Hh4cm9wsVCNukssnlcm2AGhROJy1THdvdzXh1Ms7SOu83OA96RMtZi6YIH0cJEy3zWY9Df89S1gXwc712ahDlPBZo9Gqh9aNdL9Fhelok+MhVmwRlpswdGxvDRz/6Udy8eROzs7MoFotteVzIkWs6hfXJ3YxarZZZHMSIGHLuWqnoKBj93XEcs6cpk3rJXZHk9TAaxy/9Ac/hf3k/uZiJCchsVISfQ/U8nsWh9F/OW6E+sStUO3k5vMr2m2O3RWl00qbtnCAnnZ90EjtPWoMOyPHxcZTLZXziE5/AD//wD+Pq1avIZrNtseSaN5YgqEHOcRxsb2+bc5LJpPmTOV4YT04OnYrGdV0TT872dGZHACbXerVabUvvm0qlkMvl2rbtowStzpW0UKPRQKPRwOHhIWq1mlEkku9mP3iu/rP9zn7YOHfbb52CjJ6Z2Zzj7INNbDSX/M7fvL77vRthrsU20/Sro5c2vKjITvoYVD7Me/zEgntYeZwtJL9r09ElfGmbzaaJ9JD1OI6DyclJPPXUU3jllVfwyiuvGN4c8I5jpwUuc5OzvLayC4WC+S5F1tFoNLC9vW1+dxwHh4eHANAG+nL5Ph206XTahClmMpk2npzcPKmiIEpLAu/R0REODw9xcHCAZrOJg4MDVCoVbG5uolarmaicbkAX6O9ep0M5G3kUNNgQ3AOklylwGMu31xseZJF4lQ0Cdp1RkalxC4UC0um0SYt748YNTE1N4ROf+ATm5+cN6MsFNppKcF3XgB1Bk+GLwMM8JTKypdFooFarYXd3FwcHB6hWq2Z3o/39/VOgDRzz69wWLxqNmmgbrhJNJBLmT4Yqynsix1PONPzGktYyFY7cau/w8BC7u7vY29vD7u7uqXLyGug78AtzfJJ586H4yxDcfeS8rPZ+tmPbLzRsO7Su8/k8UqkUstksCoWCiSmnNZtMJvGpT30KTz31FIrFYlvGRs2TA+3pctnHaDSKfD4PAMbirtfrqNVqqFQqWFlZwcbGBnZ2dtpAT1ra/Ey+PRqNGkBPpVKYnJxEs9lEPp9HMpk0e59q56bsq3aY6muQZbVjmsfIqcvZxMHBAQ4PD3F4eIjt7W0sLS3h8PDQxNRLjl9SKV5WuY2CGcrgy3la8AMD7v0CuDAOrn5a4p2W6zaUTYuNn/Nzwsm6CJIydJA5WnK5HMrlMlKpFEZGRpDP5w345PN53Lx5E9evX0e5XEYulzPtU6mQ52a78pjc3KLZbGJnZwf7+/u4ffs2Njc3sbW1hVarhc3NTdOno6MjA+Qy34qMmKE1XigUkEqlEI/HMT09jVQqZRYysT/aManHWXLycuwI2Oy7zDPDMZDALK1xfj86OsL+/j6q1WrbTIbH9bk2vpxt2ZSOFK/IJa/kYX5RQ50c8zunU9E8uxwvP+lnH7oRLwC3zWDPUgYG3M9DvED9ceTVNbDLBTSkV3K5HPL5PBKJBEZGRtpWScZiMRSLRVy5cgXPPfccFhYWTHy5XMpfrVYBwCTBSiQS2NjYwOHhIe7fv4/NzU1sbGwYcGcmRNIrtLglfcLQRYIoQTeRSKBYLGJkZATJZBJzc3MolUpGmcjFTIDdcahnFfp3nqdF5piRCgaAFcjJtdMypxN1c3PTbNYhszfyXNZpA3ftQD0vOUtr8yxnH4+C5w6STpymvcoTBe426SewP4oEXrp9UhRcuUk+OZVKoVgsmogPAMbRl0wmMTY2hhs3buDpp5/G/Py8WdZPa5wP4sbGBhYXF7G6utrmFKzVaiZ9LePN5Y5C0WgUqVSqLVoGgMmtzoRa8Xgc6XQa6XQa0WgUxWIR5XIZiUQCk5OTZoUqheAPwLTJFLq28QmKHvJ74bxCQMmps31a8QR3Rt8sLS1haWnJ5HEnBy/HS88ApAKRln03EsTf91MetfU8lCcM3HulZQZROF1lhEcul0OxWEQ2m0U2mwUAs9uPPHb58mVcvXoV5XLZcOyu66Jer2NtbQ2VSgUffvghbt26hbW1NdRqNezs7LQBhOTQaXXTKcndj+QiJMagM6wwl8shk8kYB2c6nUapVMLMzIxRLuwX26Ujlk5WuVtRq9Uy+Vr0kn/ZTyleU3+beIW4EZz5d5dtHfcAACAASURBVHh4aPpHp++DBw9w7949owAZOUNwpyKgktC8u7TaOQsKkn4B60UF6Iva737JQIN7P2LRg8r4AX6QJd6ppW7jwHVkhi06RzosCZaM9kin08jlcsaaJcBlMhnMzs7i0qVLuHr1KlKpFCYmJpBOp1GtVg1Irq6u4s/+7M/w/vvv4969e9je3sbe3l5bnwh6tHzlJhK0uhlC6DgO0um0mS1wVjAyMoJSqYREIoGFhQXzmbx4IpEw1AQjY+hkpRVMa7dYLBqaRoZMyu3q5KxDOj5lqgL+FiaW2ut+sq2jo6M2wCZNVa/XsbKygvv376Ner5vr4AIm/rfROuyrVG5ePLzeeNtPZBk5O5CzBD0eWryOhT0nDPB6OebDih8FEhRlpsexU6XfKyXUj5nPQIL742RZdyO8oQQ9UimpVMpQG9xImdxuOp3GxMQEyuUyvv/7v99EojQaDdy/fx/Ly8v48pe/jO3tbdy7dw9bW1vY399vUxo2y5UhgvK/zGiYSqXMzCGdThsuf2xsDFNTUxgdHcXMzIwpy1DASqXStiK0Xq9jf38fAJDJZBCLxVCtVttS+NJZSku5VqsZhQK0b7LBz3oVKakf6WSV/2W4Y9CLRUrm4ODA+BC4SInx9svLy9ja2jLAztnGwcGBuXYdJSMdqhwjDfRygZUGZb9nSvZdC69ZLli6CNbvIHLrgyADCe5h5KIqAAkmfCg1cNLylYtn+D+VSiGfz+PSpUsoFosolUooFApIJpPY29vD0dERvvSlL+HDDz/Ezs4Otra2jKXIOggKkveWwC6dpgRWzhL4mTsdcQZx6dIlE0FD8NrY2MCdO3fwta99zYAZKQm2TeqCQMz+SGck+0A6Rjo0JXjH43GUSiUAMApwdHS0zbJn+WaziXg8jqmpKWQyGaOs5B8jiPQCLAnEtVoN6+vrJhJmd3cXOzs72NzcxO7uLhzHMaAv0whLYJYcvc06l/SM3BlKOl+9JIwlbwPHQQLLTvwiQ3koFxbcL6KQSiCFoaNECOK0nMhTZzIZjI+PI5vNmsRXh4eHWF1dxeuvv45qtYoHDx5gb28PtVrNAJgEa4I5QQZ4uAq00WgAeJgl0dZvzWHv7++jUqng7t27aDab+MpXvtIW8kcAlaItQtlPySdr6kTH7cs+asBmGgFa/NKa51hLxSWjc2TMPMMv6TeQZQn8PMZ+cxxpnXNWJZ2nvDYZBy8VmcxnQ6DneGkePgi4BwkEB6kvT4oMDLhfBEu8E45dWovAQ26atIqmDFzXxdTUlInXLhaLAGAcmUtLS9jf38f9+/eNFcx2dPy2fOklWMpYdADGKmY/c7mcoU54Lh2C1Wq1LaxP0hesW8bxas6QswY5Pl7UgB5zrahsvgvpj9DldUy67K8E08PDQ7PN3dHREWKxmJnx0O/BnPNypiH7yrEkEEuLXLYlrXD5WUbN8B7pKBk5djb6xIs71xSPPCbPl/dS/hZWtO+Cz4RXiKlsQ3/3o1yCFEY3PoOw0sv5Xn6+sH6IsDIw4D7I4hU+p52ftPBo2dnyqnAKTqCfmppCqVRCOp1GrVYzeUfeeust7O/vY29vr82pxAde50u3vUASeBnfXiwW22gIWpRczr+3t4d6vQ7A20lneyj1GNkSM8lEXXr3IJmQi9eh6SPtcCbQS6oCwCklopWQvie8VpaRi3y4mpbtEoilg5nXr0MtJS8ugV7z5lSWmqrhveS40dr3Ehto9yJhuPyhDK4Mwb0DkREW/OM0X4oNeAuFAkZGRkyEB8vcv38f77zzDvb29gxwa5HWj6xXW7CkdvL5vEmlG4/HUa/XDR1TqVQMR0xF45e6Vudb8fLi26J89NjpPUN1G/rabEqj0xkelYqkleQ461WpBO5Go2GAmwpGzhpYN+uSAKjLSC6dQM3y8nfpRJXOVJbTM4+gMR/Kky1DcBfiRbtIIJBAxBdeRzMcHR0hlUohk8mYOG5O5RuNBnZ3d82iHyaP0vy01+yAVIoE9lQqhUKhgHw+j0wmg2w2i3q9jkqlglqthu3tbRweHsJxHMOHy/57USEEGGmhsk2/qbZN/Mp5AZS8H3IP1jBteSlJXY5UC0VSV373xQ9UpXLXlrtsF3gI7tJK5rhLysZ2jZKDpyI8r0VKQxl8eaLBXVMq8jOtOc3Xag6bZRgKyFWhdKStra21Tcdp5fnxbgRhTe1kMhlMTk6aSBWGBG5ubqJer+P+/fuGL5aWnVyOT06Z/Zf/KbZ85RrU5P+w1iNnCd2I9A9I8QJyPdPRfK4EUx19Ih26BF9GGUlqiOfp9m2LjyRQ6/BFOmJtmS3l7E/z7rYcMb1w1LLvQwfoxZcw2+x9HsA/ArDquu5zJ7/9awA/C2DtpNgvu677pZNj/xLAzwBoAvjnrut++Qz6ferhCwIYCXJSpFXKMhIEJe8pQxVlDhO+tOSr5QvIl1tSA7Iv0gpmnWNjY2bJfSqVQqPRMOF1XOnoNS1nf6X1beNMO3EO2/oqx9VPNPgR4AmYsg2tOLQC1FE0XiKViDxHOwhZD8vL37Q1fXR01OYo7URc18XBwUFb/zQto3l2ilaiNC68HKi2OtiOrV9B5wfx+FohBs3QbMeDHLxe7Wv6qxPRz5h8ruVz0Mm9DnKQdqMwvWjQMBLGcv8vAH4dwG+q3/+D67r/TnXkJoDPAHgWwCUAX3Ec5ynXdR/5XFFTEJLTlaAlAZggzvDFZrNpFqzI6bMX4OkHh865fD6PXC6Hqakps8DHcRysr69jc3MTa2tr+O53v2vC6Wy5RqSTUSa0ku2zbenI1H3Un21iK9sL10ugkeDOvtq+6/uir9M2A5M8unSUagqG58iXWdIyVLr8TgXsBwBSafC4DmGUYCgtcAn2NBok8EulIOvTFn4nokHXC4Q7oeGG8uglzB6qf+E4znzI+j4N4Hdc1z0A8F3Hcd4H8AkAfxV0Yq9aWNImNpH8uA6vY+QIKZZoNIqDg4O21YcaVOVUX4IPrf5MJoORkRGzYrNUKplFMbTCV1ZW8M4776BarbZN8W18O0GFL7UfT63BipSCDeRZt60+HV9u+6xBJYwD1CuE0E9xyLH2s+D1rEn31cv6s1n78jzpWJbnADg1rjLqh+drUJf9IcUiAV/21cavy3plfba+6+ifoTwZ0gvn/vOO4/xjAN8E8Iuu624BmAHwdVFm8eS3U+I4zqsAXgUeOipl5EGQJaHBhgAm65PHGaEiQR5AW14PPcWU7UhLHYChZ0qlEubm5vDMM8/g2rVrmJiYwN7eHt588028/vrruHfvHt577722KAn+eVn7eiour18qFz0OOgxPX0s3wvZt4MZ+hHHiacCTylC2o++7Fm0xh6WXvDh3eUxSRrJPcixlzhqKBHd5jJ81wNrOlRY5nzVplduAXz+vndxrG60zlMdLugX33wDwbwC4J///PYB/CsBmTlqfHNd1XwPwGgAkEglXbnKsnU76Jdf8OQGbnLhNksmkSUglp97SemK9UjFEIhHMzMxgfn4ezz//PD760Y8iEomgXq9jcXERb775Jt577z188YtfNBsxSPDxU0oe49IW9mb7rwHdxr3bZjI6tjxIpDNXW6uyv7bfw9A28hw9m9LSSbSMpmakBHHwtj4BOPWseIkEYW0YUKgwNCj7Abu03rUlT8ufItvyu99B46lnBXpWabtmr7q9uHQv/0GY/knplDLS/dFKtxujKKh9r+cmTL+7oUG7AnfXdR+IRv8TgP918nURwJwoOgtgKag+xzlels+L1BsXAO0LSxzHQSaTkf0xDzsjD/SAMTUswVvSCNwEIpVK4fLly3j22Wdx/fp1XLt2DXfv3sW7776LN954A1/5ylfw+c9/3mw+wUga21TY1gdeqy7nJ7ouTQGRdvE6D+jeepeUge1YP6f5nVjhvYhuQ8b5yz543VcbJeTXb60M2Ibm3XnMy2LXsxy2y3sjDQob0J0lHSNnwoMqvdC+F1W6AnfHcaZd110++fpjAN48+fyHAH7LcZxfxbFD9QaAbwTVF4lEkEqlDC8sE2XRqeQ4jtlk2HVdA+IUSXPYpt+xWAwTExMYHx/HzMwMrly5gueffx4f+chHUKlU8MYbb2B5eRnf/va38cUvfhGrq6smSyEzCPJFlZtFaOurV4AKcljql9yPd5bXD7QrSN2eTWT4oZzp2MTmzA2SsGMlZyd61hLUni6jy0vKRAK8BlzXfeiYlhSgVH56BsgycoUr8JCKkZSNdOLymHy2bOAUJkJFShh+Poz0GxwfJfDaZiKPi4QJhfxtAD8AoOw4ziKAfwXgBxzHeQHHlMttAP8MAFzXfctxnC8AeBvAEYCfc0NGypBSYXw4gLbdbU760sbN0lLn53g8jmKxiOvXr+PFF1/E2NgYXnjhBUSjUZPk6tatW1heXsZXvvIV/P7v/75Z3i83gZC5yk+uy7SvhWBgUyh+oBL0O8ULwOSUn2Pi5TCVfdVt0vqzWf9+gG3jecM4U4OOS2ViO6apAV2HLOM4TltKYKmc9PRf8u0STKVBISkor2vjTNALSG0cfBDHbpOzsMz5XnUKdINutT+p4gyCxkqlUu6VK1cMQPEh0/HAXOp/dHRkto/jVmyXLl3C888/j2vXrmFubg5jY2Oo1+u4desW3n77bXz1q1/F6uqqSX8rAY1tERy101Va//K7l3hZbIDdf2AT/u6XGoB98QM4WUYDsYzxj8Vip+gX7QSV59teaFusulddNkUgt+CjD4Z5emq12qmx8WpfArvk6nmfbZQV6Tpa4toBKgFXX4u+JioUtiOjcFqtljFeeI6mamzKQH7XffObqUmwtkXq6HHwK2/77KWEbO+ITXHY2vCiNYPeO7/jYesKo6g6VYBeZfWsoRssrtVqf+O67ou2YwOzQlW+ONVqFclkEpcvX0apVILjOFhYWMDLL7+M6elpTE1NoVwuY3NzE8vLy7h9+zbee+893L9/H3/xF3+Bzc1N7OzsmN1w+PLIiJhoNNr2kumHV1trwGnnlF/YpazTBsDAQ0CT5TX4yHMjkYe7HTFNrNeDZrP4JZAwdp8gKtMNc1wkfcD+6rHqp3A8COgUbhnIBGdezkNem3T+6ignL1Dj8yGtV5uzT/sgpPK1vazSUuc9k6K3/ZN90tcXFhzDSqdOyKFcLBkIcC+VSvjsZz+LiYkJLCws4PnnnzcpaF3XxebmJgDgj//4j/H666/j29/+NjY3N7G3t2deGlpEtMr5ovJl10vF/TR0N1NTm2hLmQAqdzbiC8bFUgQAKiVeA0E9lUoBwKk9N2U7NuUiAToWi6FQKCCdTgOA2RaOgEbAt4FRv51nMsqJ1vPY2JhJM8xr5daB0WjU5OWxKU3ZN+lc97JwpW9HhzRq8NMOVwCnnitZP9vkOLJ+afmTb7fx3zYLWpeRovtrU2LdyHkpgG6MBy/DaSgDAu4TExP4hV/4BWxvb+OrX/0qfvZnfxaVSgV7e3vY29szVma5XEYsFjNbmkmLSE+JdU5taYXZHh4/XpvSyUMXjUaRzWbRaDQQj8cxPj5utqRjtsbd3V1sbW1he3sbsVgMo6OjiEajZtZBoJUhicwvTqBJp9NmI2zgobXKfVLl9RPIZmdnUSqVkMlkDAVRr9ext7dnkprxHAKuniX08kLJ0NXR0VGMjIzg4OAA+/v7SKfTcBwH+/v7qNVqRoHF43GTjoEObQIrV/JKy1ry437hgFSyzGNPKmd/f9/MkOT5OqpHjoN0jLKsnAEQxNlPybPTguf5Ov49SOTspN8inx9pjDwqGc42wslAgPubb76J5557Dh//+McxPT2N8fFx3Lt3z2wbxwd8ZWUFAJBKpZDL5QAcP/zc0Jkgn0ql2ixbOg1tYWWUMGAVpkyr1TIW+djYGCYmJgyA0AF8eHhotmFLJBJm4+p0Oo2DgwMDVvF4HOVyGalUyiixer1uQI8gX6lUTPuu67Y5AYGHfHIul8PIyAgymQxc123biKNWq2F3d7eNuuKsgcCRTCbNHqadWILSQZ3P55FMJs2qYLntH4Gde45y39Fms2kSpXHrOpkATYMPRV6LzfdBxcnP3PGKkVvLy8tYX183bbAeSeXYrHvWb0sboceNNJQOwdRKQtavwyhtKTBYl56xSNGUkAxmoGLT/Q87+5XjIsdHW+e2hXe6rBQ/YLc5zr3Eqy0vp3JYX5mtr179OmslNRDgDhxv2/aXf/mXKJfLWFhYwA/+4A+iWq3igw8+wOLiogE213VRrVaxs7ODQqGAcrmMsbExHB4eYnt7GwAwMzODZ599Ftvb2/i7v/s7AxK0+G0hgf0QKhTONHZ2doyleXh4aF4cAtfIyAjK5bLZzJp51yORiAFSbpB9eHhogF0qAPny6uthtsqpqam2Nrg5NRUGN+og/8/MlnKrOb7osVgM9Xod29vbbQqTCkRvTMIHWwI7tw5MpVLY29trGxt5nQQtJu0iYEpwC1r8JOPYpZNangvAzIh2d3eNkuNer3omyOuy0Qj8zHUbkuqxhTbKc2W/2JambGR5WbfNgU2AlnVEIhGUSqW21drsU6PRaNs43aacWHdQGgx9zWHAUNKJUoGch8/nPOid855xDAS4ywd5fX0dOzs7ePvtt7GwsGAiX5aXl7G6umpCH4+Ojgzv7rouxsfHMTs7i0uXLpkH+saNG5iamsLdu3dRrVaxt7eHpaUlPHjwwIBbL/w6+W6+PNKCbLVa2N/fx87ODjKZDCYmJky/uY0egZ80ClfPJpNJA7yVSgU7Ozs4ODgwSkFaznpVpeM4BpzL5TLm5uZM/6gQ2DcJNpL/T6fTxppstVqGqpEgQ2uXfSDNQpBkPeT1uX+p67ptYM72OZPgZtKyHT4j0hKXIZN6cxRZr3Ys2yJdONvhvUwmk22bc7Pftp2QtGVMYJbXx77oa/I6rvsnj8tz6RuxRTk5jmMUaaVSMQqxWCwa349crwE8VEjctNxPeM+4OJB7FmiFFkZ0Oux0Oo3R0VHMzs62zWQ+/PBDrK0dJ6KVs5ogBa8lzPuu74d+jsLMXLnTmZev56xlIMAdAHK5nLFwXdfF3t4eXn/9ddy6dQulUgljY2O4cuUKGo0G1tfXjXUBHNM0tVoNy8vLODw8xI//+I/jx37sxxCLxbCxsYE/+qM/wocffohms4nR0VGMj4/j7t27hpawWVdBIm8aFQ7QPq27du0aLl++jGQyCQDY3t7G8vJyGzfLdAWNRgP1et3w3zJZGYFG74rEYxpcCoUC5ufnkUqlDKWjHzIqIw0iAMziLZ6jr00COzcKYfTR9vb2qTLJZBKtVstcH0VPVwnukj+X9WghbSS/y7GRCoAKTLar26cC1HmJpDNcj6MWPaPw6rc+R9JMsu9yIZlulzMaSjQaRTqdNonquG0id/nSzmDb7CMajaJQKLTtmaul0WiYWVg8Hsfq6ipGRkaQy+WwtbVl+haW6pT3KZvNYn5+HmNjY+aZqtfrSKVS+PjHP47d3V0cHh5ia2sLKysr5trkMxOmTbkZvLz//Oy6LpLJJMrlMkqlEt5999222QrpNDrMOb6lUgnj4+PGqNnd3cXm5qZJfcJN7uPxODY2Nsx4Scd+vyz8gYhzj0aj7uTkJLLZrJn27+/vGx6U1ECxWDRWYiqVwu3bt81+n9IKzWQyuHz5MkZGRvDyyy/jM5/5DPL5PL7xjW/gq1/9Kt566y08ePDAbHaxv7+PRqNhOHreXJ0iFmgPr9MLXAi+dHRevnzZ3GTg4crGTCaDjY0N7O7utvGltMjlhsrSGSetOEnF8HxaUB/96EeRz+cNTcTpea1Ww/r6uqGpWI9+ISTfa4vAINjJMZG5gWgVMrJHCttqNptt/K6+Ng3E0rGsrTQvB6f+rkEeOB3KyG0QKbKPVMLyNy/RIZlyH1RJh8j1Bnrc5TMtQ18lrXhwcIBUKoXR0VFMTU0ZaqzZbGJnZ8dQaDs7O3BdF6lUyqScJsDxWaBhwXdhb28PGxsbph/pdNrs/fvMM89gfHwciUQCa2tr2N3dRbVaxcbGhnHm852Qs614PN5G87mua9as8P2gD61Wq5k+z83NoVwum1ktZwp7e3uIRCLY39/HysrKKUzw4r1p+BwdHSGTyZj3xHGOU5tcuXIFxWKxzTB7/fXXzXqLubk5pNNp5PN5RKNRU46LIUl7kUJttVo4ODjA6OioWayZzWZNvxKJBA4ODrCysmIUV71eDzQo6vW6Z5z7wIB7sVhEoVAwESbT09P48MMPAQCXLl1CsVg008b9/X1DyQCnX7JUKoVsNot4PI69vT3kcjm8/PLL+PSnP42bN2/i1q1b+NrXvoalpSXs7u7izp072Nvbw8HBgbFYyNHLF53ALy1hOV2WvHMkEkEul0MqlTq1EInXcHBwcGqqJ6kiWm186KQ1p3l2WhPpdBrT09PIZrPmhZNx65LSkVamF3BK0OVnWZ6iz9fXbFsToC1V2yxCCmkErym4rQ1dVitrWz+lk1UubCNdxP9BYaEyDFcqUwnmLBc0XSfdweeDAF8sFjE7O3tqwVyz2UStVsP+/j62t7dNcEIymWwDd5YlLUVgpzFA30oqlcLY2JhR9tzWMZVKGeOIio8zYu0PopFGhzVnjvwsrX3OoniPstmsea7lPaRiYPv1eh337t0zVCzHKZlMGgNxbGzMGB+7u7vGscxIKfpcAGBkZMTcq7GxMTQaDaysrGB5edmMWSqVMrMYGWYsqU0qTl5LJBJpC+eNxWKGoq3X63jvvfewvLzcpnhtFPKFAXdGUDCyo9FooFqtolKpnJpuc0AmJiZw5coVfN/3fR9arRa+9a1vYW1tDdVq1TgPpVMpnU7j2WefxZUrVzA5OQkAWFxcxMbGhqFDGIa3v7/flhKYn23RD3KqRoCXXLAEDfkAy/QJkiaRD6UGLTldli8QHxAvblCOoV5Cb+sfr0uKbUov74lUAEE8aBgwliJnC7aVuzYqxNZHfVxnAWU5WySHVKyAPUeLbk8+P5qyYrkgOlAqz3q9jmQyicnJSRN5JKkbWvr1et1YjnTE0zItFApt10MQkQYMZ7YHBwfGUGEb3B+YvPvBwUGbwUNg1sDtl7lVjrWM0qKiaDabRqGQCkylUubaOcac5d29exfb29s4ODjACy+8AMc5zk8lo/Dk+gqKDKXlcfov2D6jzB48eIClpSUzhpwZMdyZYcqcxVAJ8HfusraxsYHZ2Vns7u6iUqng/v37hpJi3bZnzQ/cB4Zz503ijWXIG79rXpw0QKVSwTvvvGM2wmCYIW+01Jqc8r3xxhu4d+8eyuUyyuVym7OSC2Qk1yqnlV6RNhoQpeeffbYBlz5u086aG5X8rE05a6pFzwCkY1L2XVMWvUqQ5d6LnKVjis+c5Kll/zVNdRaiZzWyL8lkEqOjowZAJHVGsOZzSoODwG5zQGtenQpPhorK95MgTWDXCk/2lcrMthJX9kE+35qGIM3UbDaxvb1trGsqNu5dTFCmkTM+Pm7WjTCMmm14OYy18uG7wwWGjUbDRHrRgNvc3DR0TaPRwO7uLur1elvaDNJPY2Njhu6VKT9GRkaQTqcN5byxsdG2QE4+AzaMsMlAWO6O47jZbNZMgXRqgFgs1pYnnQ8ALXJpLVI7Sm3O6SYfej7cpE+YLRKAeVgbjUZbSBgVAx8y+RLJaBE+WFKkwwZ4GDnCaaQsp4WWOK+TdUnfgFQ+0lFE0eAu6QGgPflZJ5a7/M12bpBTsRPLXVt7NmoIOE27BPVHb4AuwYbPk61P0pkuZ0E2xaxTD+iQUT2WchquqTPe44mJCROqKsFZW+L8TGd1q9VCNptFOp02ZSVVx2dF1snV0zKRn3wOJH+uHamyHtbrp5D5vnGseN/1mMiZLoGSs2a+42xbjoe+h5rylPdBv1e0yrPZLJLJpOnb/fv3sbS0ZMaB9AzrpoIjXpFK4v28dOmSCXwgiN+/f9/w7nI8OKb8Xq1WB5uWiUQiLnmr2dlZbG9vm4vi4hneAPnQau6TLyJvBIC2JfZy+gi0LyrgFK9cLmN8fBz5fN5MZ/VSeD5YpG74sPLh4g2Vzlb9Ukg6R4zDKaDhQyezGwLtETpS5EPJ8tI56Td7kP2w1ev3XTsI9THdL68XXI+BDLeUCsnWB/mbFy1kA39aezZayaYsbUKDALCHZNLByD4EzWS0b8fmhJVO/Hw+b34jmLHv+/v7JsUEqY1MJmOeT3LTBE8dAy+VkXyWZKoMBgdwfQLHks8t3xltwUtHeRA1RZDUMw9Jk0rwlwrIz9q1+Z40zcXvh4eHxoAjzpBBIODKNSoAUK1W23wmrD8ej7cpv1gsZpSG4zjY29tDrVYzuMXrk9exvb092LRMNpvF9evXjac4nU5jf38f4+PjJtZbTpWB48FhrhH5YALHA0CLmDeDDpVEItGmDaXFQr59aWnJZJrkaljy/3yIj46OEI/HkclkjNKRwA+0bzpi48u8rFd5nNcUJkKD1+5XTj4c0jLpVaQzT1M+mu7xA/awx70UG8VGMUmeXvY3yJL0E1mndJ7J+y5FR2Dp47JfUuRzT2HqCW7kznKtVsuArGyPnw8PD01MuqRUCFTSQcg2HccxCwClkuL/fD6PRqNhHLtsm0JQ1u+ADOcMAl+2pcdQzuqkMSXbsIV0yvqpmKmUpALW766che3u7rYZAJIxkIEM8pnVMzI+q9IgicViKBaLpn/aOKDS5MJNmwwEuAMPAZ4PJbkp8t/RaNSspJQaTlriHEAdGyzBOJFIoFAotM0AqtVqm3ZuNpvY2NjA2toaIpHjuPGRkRE8/fTThr5hqJh09jA/Cz3hkh+T1oUWCTJBVrVNNDjLB1/zl2Hr6JeEBVGKXxk5zfXqr1YifvSHV9s2nl2KdkzrOnivvcbe755IHlyClPaz0HJmtAajXxjK6LquyVEUiRxHbtGJJ+kpggh3NpMgJKknqahomUt6gH3ijFlTCdLZgAT3xgAAIABJREFUqv0Jcuz8xlp+l/SPPI/jLn+jAvZzfLMfpG+JM/KYnOHxmkh38XdSrXz3eZ7EIyoo0mGc4UQiEcMESJ6fsylNvwXJQIC75OrkA0KvtuQ/GWvrOMdx4eTF+VDKBQVAOyBwIYEMT3Qcx8SYShDmf8c5znXCxQjj4+O4dOmSyVLIuhg6lsvlTLIz3ij2R94QL4CSv8vrkselaMCyUSIU/XB7URea/tDSK0izbW2NSquFwGazZHmdfvROJ321cfG8b16RHdoKk4DI79LK1ecGvZySL9fKms8S/TYMPqADjxy7jDHX7cv3otlsmmdVvke6L/r5lYaT5IuBhwnZZACCpJnkGMoxt/VTjwvQHtygV8RqIKT4vQtybOUzqBWSpH+Bh6tQbSKvU9YhfRQEd2nd0yjh6l9eE/AQ1MMYbAMD7nygyOG1Wi2z2EYKbyodn1KLSkDWD46MEJHL2+VgEjSkdgUeWlHMmnjnzh1Eo1FMT09jZGTEZDbkogoutKAlL69JLlACTlsdvJZOxk7PXLRojlfW7wV+2roKY/XKNiQ9ZKNbNCACDwGBfdYhivKzfuhtovspwYciY5Fl37SfQIq0YNmObUx5vqT+5H9Zl6xHgoBuhxYhfUjMkspFf/r6+b4wBt32jMnnh++CXkSmaTftpKQisflVpDLjuPLdlf1gvaxLAqoWiQv62ZbgyXq1Je01/vq7NLT0rEqWk9dpU0p6fHTfdX9JFdme4TCzeSDcNntzAH4TwBSAFoDXXNf9NcdxSgB+F8A8jrfa+0nXdbec4978GoB/CKAK4Kdd1/3boHZoBRDQyXFTs/G/HARJe3BQ9QBqQOF/bTnyAeAMgb/LvrEPtFYWFxextLSEZDKJkZERzMzMYHx83IQ4yURfVFZc4LG7u3tq2gvYOXF1P0Lx6ZSwzqpOJIjz9jruVR5ot969puraoSgtTduYyHtJ8fquZyqcHXpdp1ebss/aRyCfOa0gpCUqwVADnLyfjOLg8+tF69GY4LMoqR5ZXmYvlRFWrMdLeduuXf8mLU9pRElF7TXj1u+DfpaDKC5bGT+gJw2iqR0pEuC1MrE9H17GXNB74jXOYSSM5X4E4Bdd1/1bx3HyAP7GcZw/AfDTAP7Udd1fcRzncwA+B+CXAPwDHG+MfQPAJwH8xsl/3wug1S4XXUjHFND+YPOBkY4r22DJ8DOKjVOV00bWTW+3tlIAGH4tEokYRbS6uop8Pm+om5mZGWM1MfkWHS1cUbexsdEWKyxDLf3GyyZenKUfsPuBVNg2uimnlSunwp1EucjPWiFIBcA2ADs1xd+1dSqtKim2sDoNFnpKLy1NOSXXM1MvIJN9Y6QFp/M0HICH0SeM/67ValhZWWmzAlmey/05VrT85e5ldN7RyWpTtrKfchYgRSoUfb7NL8L3keMjefR+Gipe75KfgQW0P78Sh+Q5NkUrP3thlpRe1p10HArpOM4fAPj1k78fcF132XGcaQB/7rru047j/MeTz799Uv4dlvO5AJfJpaQVcnK+r5XoVUa/HEHTGT1FlFSGjJ+VdUrFIushuGSzWSwsLCCfz4O5c6i8mAWS1jw5e6YloKNWPtB+lryXxaStJD0mtnNtNIos52Ule9Wlf9dWMoHdK6acv3Nqa7Pgdb91Yij52esabKLvr4zMkiuftdi4Wlmfpl50W9rC1++EtHi5voJADMA8Y1wBKUGS48i8TaxfjjOfN+m4tM2o5IxBXi9FRsI4jnPqXdL3VFr4tIj1ojteh36u5TE9jvr+28pK0VSkLiMtd9s9lm1q0cfDYrCmugBgfX29P6GQjuPMA/gYgP8NYJKAfQLwEyfFZgDcE6ctnvzWBu6O47wK4FV+l04oeTHyQigSqPXN9bL4ghxYtpuurSa5TR7bklNpPZWs1+t49913kUwmsba2hsnJSZNsKZlMms/7+/vY2trC5uYmstksdnZ2kE6nTWxyq9Vqi3OV1yr/tAWhLR398EluWYsGWS8FYCtvO2YT2W8vJaWnx7JuLyvQ76XsBNTlOdKnI5Wj5oyB9o09gNNx2PJcm/PPj2bg8yWfewmgzFfC1Bksx7wl8pq44U2z2Wzb6pDCaA655kRfaxAw8do1RUWRBpMOcyQe6DG3/dciqTA5ptpolM+snuWGBV3eS238eBmcfkaSFq86wvQtNLg7jpMD8N8B/AvXdXd8OmY7cKonruu+BuA14HgRk62zXheiXwYZ+hg0zTKd7ICK0ApHvlR8KCTvJvvCSITbt29jcXER2WwWo6OjuHr1KsrlMhKJBPL5/Kk0CNvb29jc3DRZ9rRzjeIV6eF37UGiaQ5Zhxfgh1EQuixpALYny0oFKgHbBvZ+ysGrTg0WFG196qk0RTrObI4/aaHbLFpdj2zf1q4+n0nNpKOO4M5wPkZ86K0aU6lU2zJ7aZhIoUJotdq3bdTjFSTSP8DZDkUbJzSi9IzJC8T9+uJnGcuycnZpG3+b2AwYL4zhfdK8u+3Z8jNM5HMQBr9CgbvjOHEcA/t/c133f5z8/MBxnGlBy6ye/L4IYE6cPgtgKagNbSmp9n3L276fhWjnLq0NvizautNWNIGeueez2axJHTo3N2eSoJHrZ2TNxsYG7t69i9u3b+PBgwfGQUvHM3Da0eYVHSNF0xoUP0DWlICtTl4rP9teZvndb/ZgUzIajOik0wuKbDM63hc/Y0A6N3V/eF02a1KCvC0yRl6Dtu6lpSmtQF6rbRzkNXHVJFPPEkylYtGWvm0mIkWHUspZqxwrP+G10PekfQyybulzIcVkU2w2kcrAD/g4xjZfi43i8cIV/Rzb6DneUypRvTpXJmnz6veZWu7OcYv/GcB3XNf9VXHoDwH8FIBfOfn/B+L3n3cc53dw7EituD58+0US/QBJTa8pEn3zpUXAh7hWq+Gdd95BNBrF4uKi2Q6vXC7j0qVLmJ+fx9zcHPL5PFqtFjY2NvDuu++iUqng/fffx+rqKu7evQvHcdqm4xrAgoA4DLiHWWEqwUCGluppqC12XAKYtuTYVxsIUcHq69J/FL2xCutgmSD6Tl6jpAdJbWge1rZU3jbjkX3SQOEXs83zNKUi+XM9htK3Jblr2SaNB1rrNuCT7XuJtGhtwCSVNYFXXlOYNmwzJ69++j3rcgzCWMb63gUZnDbF0WmbUqkH9i/Ezfk+AH8J4A0ch0ICwC/jmHf/AoDLAO4C+AnXdTdPlMGvA/j7OA6F/Ceu634zoA3XK6ZZlOnIOvcaAC++yzZz8NPatt+i0WhbrLYETi504m8SWPVClUKhgOvXr2NiYgLFYhHlchm5XA6Oc7zp9vT0NGZmZoyC2N/fx1/91V/h61//Ou7cuYNKpWKy0eml8PL6bRa07Rpt12ubltrCCvWMgu3qcbIpDy86RisCnf9FUjUa8CRQEtQkrSEVuG3RjlTSNksdaI+msVE1+neeI0UChs0Zqzl0vQRfnyt/l8dkWZmlUJfTi2xkf/zeSx7j9Unl5eWADGOp29rw64euUwdYBHHt2oCwUSp+Y8Gxsx33m3Ho3/R11Gq1wU4cpsFdi572yt986vT9vd/gLo9JYJHUh7T2df91GSYlikajKJVKKJVKKBaLKBaLGB8fx/T0tNm8YGpqyqQ9ZYjb/v4+fu/3fg9vv/027t69i42NjVPbrelrlps3BF2vbfxlki++PBp0ZVtevLoGdIK1pHnkWOkZiPxd1qOpDtknct/sN6fLEvwl1Sbza9uAXzva+ZsNFDoFeg0GNnCTtJB+f2R5myUrQcirj7JvQeCqUxT4lfUDPy8Jg2G6jKa+wsxAdD22mR+/2+rTYxim30Gz6gsP7mE0WtjjZw3uug0JPDo5kLY6tbXM79w1JpfLmU0axsbGDNd//fp1fM/3fI9ZMUuAikajWF9fx/vvv4+NjQ3cv38f3/zmN1Gv182GJsxmJx9U20sfNMUkKEgg1fVo8PfafEN/lismCfT87DgPMw/KY7KPUtHys1RgsVisbXMJG0hrYOd3KgCgPUpGArEGd5vFaAN0GyB5ga7sq64jrEXsZYHK7/J+aoUX9F7ISBjbOd2AdBgQtZULsog7PV+X7VRJdYs1F2KzDj/pZGAHSeS0mBa7BD8vy1WeT9qmVquZrHsbGxvI5XIYGRlBJpPBzs4OlpeXkc/n8eKLLxorP5PJYGxsDGNjYwBg8lXcunULb7/9Nra3t80uVJVKxez8wo3GNS0hlZLfVJIip+CyDlpNtgVmwEP+2qt+SfHYlCfblMpUp2CQIBOJPEy/qikQv+tiOVkPP0vKQoKgTJmhKYswNIoWWb/td3kdYQDMVp8feOv6vcrwv3YkeykR+bu8b7J/thm937VJ6VSp2KLUvPqpZ1i9SC91XAjL3ee8tv+2Y0Hn9iLdtGFzGgIwu7DQmtecqnayEfyYmrVcLmN0dBSzs7MYHx83C6YymQyeffZZZLNZlMvltj0hmfPm1q1bxln74MGDtmRsAE7txdpsNrG6ugrXdU3CNVustuS+ARifhB4X7XzVyo75X7Rlz7GSW6VpC1+Cu4031QDLqA5Jt0h6Rn5utVptOdyl1c/zJPBppyVFbrWo+yf/a1pFtmu7pqD/uh09g/OjGsJY0Lb+yXsflqbws4LD4peNc5fHgq4naCZr65+fovM7r5N2m83mxaZlAs5t+2875ndeL9INuHOhEY/beONYLIZ0Om022U0mk207SpFH5R8TSDG3dzKZRDabNXw8uXvuAJVKpXDlyhXcvHkTk5OTbRua1Ot1s6vM8vIyPvjgA+zt7WFlZaVtMwLer3q9bjYa3tnZAQBsbm4iGo227UlrA2vteLUBuwRtaa3baBq9UtMvakbOKiRdwjQYmnqRHLY8R4K/tvzlyspOwF3zwfzNazZho2tsQBz0XyfikxIEfl7fg6zqMBSK3/GwtEyQhFVWfqLbDaJudJlu2nwiwF1Ltw7XfrTtd1z/ZotQkWBFrp3UCgCz2Ikip/tycUosFsPY2Bjm5+eRTCZRLpfx7LPPIpFIYHt7G/fv30cikcDIyAg+9rGPYWZmxqxabLVaJi6XO74vLS3h9u3buHv3Llz3ePcZ8t2pVKpNUUUiEZP4rdVqGQXSarVMtky5jF9uyiKzF8q9LuXyerljjRw/KjBuYMFIJM3xUynQSmff+J1jKkMBZd4f9puRJBJgbcvmJbjLKB1ZXvaD19MtuMvPnYC7HEu/CJJuwT0MiAaBZFAdgw7u/cRcP3C/EJz74yycvklNLq1Imfa4WCyiUCggnU6bHaHkDjI8T24WUKlUsL6+bqz3u3fvYnJyEpcvX8b8/DzeeecduK6Lb33rW7h79y6uXLmCy5cvt207RyduqVTC1NQUZmZmsLq6ig8++AC7u7tmBx+gPa6bOe81P350dIRSqdQGcgRS/mcdpITojCOQMomVBGxJc3Exj17tyIU9BHzuXcnEWhx3CldVAu2RJ+yPnH7L+yi/a3ptKMcyCIblect5XvPQcu9B+mG5y9+0FQq0pyMmWBJgGfoIAFtbWyaTpt5cWC4GyWQyyOVyKJfLmJubw8LCAq5du4Z0Oo07d+5gaWnJ5LYZHR3Fpz71KSSTSRSLRQPOrusaMOQmvkdHR7hz547JkROPx41FrikSWq+JRKItcRQdm9LKl3QNrW2CMcvLsdIUE8vTAt/e3jazA+5t2Wg0TCpcZkSUFjspMa4Mltw7x1tu5cZjelMGXpPjONaUsdpyp3hx7fL4WVvufu37fQ9juWuleFEt907P6Qf2Pta0jEd9Aw3ufgCvuTj5X36mE3F6ehpzc3OYnJxEs9k0fPf+/r7JCijbk9xzNBo1ETXj4+O4ceMGPvnJTyIej2N0dBTLy8twXRff+MY3UKvVsLW1hbGxMYyOjuKVV15BuVxGNptt42k5c6jVaqhUKlhbW8Pu7i4qlQr29/fNNUpevNVqmQ2HJbVCukcCfzR6nIqZ4Yx643AtTK8MoI2C4S5elUoFGxsbODg4MOPFjTAkFcPfmaqZAE9wl/SMDJ+U9IyOxGE5fZznSgpHPhv6cz85d/nMdcu7h+Xbg+oMy72HwbBOAb9TGqobGYJ7d/U9tuAu6RfgoWU/Pj6O+fl5XLlyBcViEbFYDHt7e9jf38fe3p5JKEUAouXLcY9Go8Zan5ycxNzcHCqVCn70R3/UhFy+//77qFareOONN0xys6tXryKfz2N6ehrXrl1DuVw2Y0+rmy8W+fNarYbFxUWsrKyYTUtoxcfjceM34B+pIQJ/IpEw1i+du9Lq5fi47nE0D8Fdh+Ex18/BwQE2Nzexublp0uPSUqdVLq17ZuuUVjvr085VgrgEcwK3ttx5TJaxgTsVgdcxSreWuw3cbTgRBO66DpsMwb03GYK7R5l+tNPp8V7A3XZchlY2m02Mjo6iXC5jamoKExMTJoWB6x5vmLy5uYnd3V2zWpWhjKyDFnKr1TIUTiQSwQsvvIAf+ZEfMVw5UxUzdPLDDz9ErVbD7du38cILL+Dpp59GoVBAPp9vs9IloJEGoQLiZsMyIogzFII4wyll2Kh8dqRDVAIvx0eOGQDTXrVaxf7+PhYXFw3AM0MnQZyWO/9L+kZGytAhLPsh6Zl+gjvLnie4dwp8fsA6BPfeZAjuHmX60U6nx/sJ7jpmnvwlAENfjI+P49q1axgbG0M+n0exWMTY2Bgcx8Hq6iqWl5exu7trNg2hhSmjXsjZM+vgwsICXnrpJXzsYx9DLpdr4/QJ1Ovr69je3sb6+jri8ThmZmbMfrOM46dTUicSc13XUCT8i0Qihg5xXbfNGUqgl7y4BHIZNqmjkwja3CBlZ2cHa2trePDggeHlpWNbgjvPJdjKKBmCPX8H2iNm/EIm5X/5eQju9nOH4H7BwL1T8NXlvc5/VKBO8VI6YfsvAZ3/JajrOhhBEovFMDExgatXrxqQHR0dNY5PAKhWq7h37x5qtZqxSuXSfkaZEJwB4MaNG0gmk5iensbCwgKeeuopFItF0wfSGNvb21hbW8POzg4WFxcBHL9wCwsLhsdnbnuZo5zAxZeTACQXVAHH1u/Ozg729vZMf2OxWBt/L8eKCoJAS559Z2cHGxsbWF5eNnQW+XhuA8ndtOS6AwnStOq9qBlNIfE3GV0jv8uyQH/AnfXrc6jYbWDo14atHMULWL2eW5uPwev8MOX8+uBVZzflesXSbs5/7ME9bFRKp/V20l7Y4/0Edy9rX9ehHbG5XA5TU1O4dOkSSqUSstmsyVeTz+eRTqfRarXwjW98A5ubm1hZWUEikTCAy9W0BEj2wXEcFItFPPPMMxgfH8eVK1cwOztrMlpSmH2wWq1ia2sL7777LiKRCHZ3dzE5OYlcLocrV64YYNZpdtkefyMXvrOzg0qlYtrQi5lsQnAlp056ZnV1FQ8ePDDUTL1eR7VaRb1eN1QMOXmCuV7lKgHfi3cH2mkZCe4sJ/sqy/TbcmffewV32++dWM5DcA8vFw7cNXVh66MEtvMCdw2WWrxAVsqjAHf9meXT6TRmZmaQzWZRKpVQLpdRLBaRTCZN2oJCoYBSqYT19XUsLi7i7bffRrPZxNbWFo6OjozDU9Ilrusim80ikUgYaqhQKODZZ59FuVxGoVBANpttSyQGwNAqOzs7aLVaBlS5YjWXyxkaiOBNZ6rrumZxl9wxiMDOOgiKknqQVEu1WjX723744YfGF0C6iRSOpGZIw2gqhlw9x1uGSw4iuOuslVo6AXfbsbDUxhDcw8tjvYipH5b4WdT1KNvUD4kX6B8cHOD27dvGmi8UCmbDkFQqhaWlJRNBUyqV8Mwzz+Cll14y6QbeeustrKysoFarIRaL4d69e6eiRw4PD7G2toaVlRV88MEHJhZ9bGwMV69eNRE26XTahD6mUqm2a3FdF7VaDbVaDdvb29ja2gIAE1nD9ugMJh1DBUAHrNwJh0qI4ZQcF7bnusdrAqgotJ9AJh5jLH2Qgj6Le91NTLefSCrorMVmmA2Csfm4yECCu77pYSzzMFZzp8d65f1tIqmMoHKsU0aZdGMpBTl2W60WdnZ2zC5Ok5OTKBQKhopJJpNoNBrY399HqVTClStXMD8/jx/6oR/C+vq6iWd3XRdLS0unrGTpqONfs9nE3bt3sbKygoWFBUxOTmJiYsKEOcoZSiQSMXlzXNdFuVw2i5T29/fNQi5Zv6Ry+J3/tRC8ub8nwTuTyWB3d/dUxk72SS5a0uMvQfesADPIwu1nm/22SoNi98O0FzSDlqLfOS+laPNDhJXzUFSdKPOBBPdu5FFY3d2KnFI/KqEClVN813WxsrKClZUVxGIxlEoljI6OYmFhweSgWV1dxbvvvot8Po/5+XkkEgkUCgVcu3YNL730ElqtFlZWVnD79m2srq5ibW0Ne3t7bZw5lQkt9N3dXcTjceTzeYyPj2N2dtbkhkmn08hms21RL1zFyhBPWu6SlqFDlZY7rXnJ2QPtCoF/dIYycZt0JOuNP4D2lAt0VMbjcRNf38k96bclfhFlaL33R8LsoToH4DcBTAFoAXjNdd1fcxznXwP4WQBrJ0V/2XXdL52c8y8B/AyAJoB/7rrul0O0Y/18keSsKJbznibTsl5bW8P6+jru3buHVCqFGzduYHx8HGNjY6jVavjud7/blpO9VCrh6tWruH79Ol555RVj3e7s7KBarWJ5eRn1eh137txpi98mGHNBU6VSQSqVMs7UZDKJQqGAeDxuLPhsNnvKyUpKR0bB8LgEYAnOzDHjum7bxiAyMyctex1G6eWD6cX6GwSRXD7lPOmTQaBqBqEPvUoYy/0IwC+6rvu3juPkAfyN4zh/cnLsP7iu++9kYcdxbgL4DIBnAVwC8BXHcZ5yXdd/5+GhdCxezuR+1EtxHMc4Nr/5zW8imUyiVCphbm4O169fN+0nEglsbGxgf38ft2/fxsjICCYmJjA9PY3JyUmMjo7i6tWrAB6C+c7OjnFOrqysYHV11XDXTGHgusd7e1arVQBoA32Z/CsajSKVSqFQKJjVrDJNsLwubR2TZpFl5e/k27l2gOGPPC6dtExuxvO7Fan8BlG8qCb5+3ny90M5LYHg7rruMoDlk8+7juN8B8CMzymfBvA7ruseAPiu4zjvA/gEgL8KaMf62Sbd8ONnGRrZieg49TDOzzDX63d9ksO2nWMDQK9+NBoNPHjwAOvr6/jggw8MeDNjJetg5AvDKJlfnlsGTkxMIJ/PY2xsDNFoFFeuXDHx5oxXZ4jj3t5e26IhcuOMtqnX63Acx6yazWQyZk/ZRCLR5kj1erbkjEWOAaNp5KYckr/X0Uv6fvUC0lJ5BJWz3TdbhJQU/Rsdw4A9p7ztHdVteL3Hso9BfPd5SBAtajMABkF0v/UmOVI64twdx5kH8DEA/xvAywB+3nGcfwzgmzi27rdwDPxfF6ctwl8ZBEoQAF40CdP/fiojvwfZL/6bL6R8MeX/7e1t7O3t4b333kMul8Ply5cxNzeHUqlkgCKbzQI45skZ795sNrG+vo6VlRVks1mzk5SMlhkfHzfcN0MMmQem2WyiUqkY8OWCJoZFcpUqAOvqV7+xlXlxeC5DG2XIIctLnl6Ojd9L14n0Yr13Y0XLPD1nId3UHTag4EmQTt7/0ODuOE4OwH8H8C9c191xHOc3APwbAO7J/38P4J8CsLV+6o44jvMqgFdDtt1e2RnREUNpF/lSaSFYkILY2dnBm2++iXfffRelUglPP/00ZmdnUSwWkc/nUavVsLm5iVwuh0wmg3w+b1bHxmIx1Go1s4MUnankuhlLzwyUvPfMTVOtVk36ABkDD7TnaLH1H2h3ZJKf17HxBH4b+MnzNacfRiSVE1ZsvLhNeJ2dgCIpqn4pKF23FFv/be+7VqpaOgX9i+4XCSOhwN1xnDiOgf2/ua77PwDAdd0H4vh/AvC/Tr4uApgTp88CWNJ1uq77GoDXTs5/fEfYIv1WThpMegkjCyu2a4hEjvdlXV1dxfb2Nt555x3kcjnMzc1hYmICs7OzbbnVM5mMiWLRfWZWy0ajYaiVWCxm9owllUT6hQArHam28bC91PJcKiyZdoCUEC1yDVAMb5UbXVP8wFdSLl7UGzcXkekInkQuuxMwfhKAO4yEiZZxAPxnAN9xXfdXxe/TJ3w8APwYgDdPPv8hgN9yHOdXcexQvQHgGyHaOfVbLyAV1toP4irDSCflvSwpL+982BdZXl/QtUj6wa+sV7sEVh09QqF1yxS6S0tLiMVihpdfWFjA/Py82T4wn8+3pdVttVom3j2bzSKZTBprUoYy0rFJPlyGPurrIDhKgCRoklOnc5f5Y9gXm9LQ/Lxets/fJY9t+866uGOU7K/tHnQK7Dbe288ZKs+Rz5Ntpaytf2GOd9JnrzqD3g/9W6f96IST95vd2sTLr9VvCWO5vwzg/wbwhuM43zr57ZcBfNZxnBdwTLncBvDPAMB13bccx/kCgLdxHGnzc8NImfMRmwLze6g74f5tVrrf75qzj0QiZmn/0tISvvWtb2F0dBSzs7O4efMmZmZmkE6nTSgj8HBZfavVMil/+WLTMUsAJijzHGnhAw+5d9lfmfhLphQgsK+vr5uUv3J3Jbl5Nv0C0voHTnPXYcGFY+blSO0USLzOtVFHYcGmGy6/F/ED6kGyzjsZv26k02sNEy3z/8HOo3/J55x/C+DfdtQTi3RqEYc97mXNDqI86n71QiFpB6MEvlqtZoD+O9/5DmZmZnD58mUsLCxgenoaxWLRAGQ2m0Wj0TDhj9KSZFhkNps9lSdGzgJ03ndyyjIKR+64RC7ftgGHBHR5jfLls1nn+nvYmSnPtVEztplAUH1hQUIqGM3Bnyc1dF6W7qBLp2P+2KxQHcrgiO0hZE4WHiN3zeyQd+7cQaVSwd7eHmq1Gubm5tpyzORyOUN90OEpLWVpOcsEXcBxYi4JiuwP+yHTB/BcKgiZtpf/NUeprOauAAAf0klEQVQvRdIxfpa710tqK+dHPXbj9OwWmB8F1z9IlrmXDKrSuZDgPqiDKcX2IvjFmvdTtKWjo0UITl7UiledspxMWaB/pwT5Q2QfGo0GKpUK3njjDdy6dQuTk5NIp9O4efMm5ufnzfdMJmPCJeWqUVrTkrvXioC+AslpS7qFdMzOzg7W19dNil/J7WtLXlrukrP24sxtdIbk7fW53TwfXrOJoPJe36VoSiaoziCaUL8nOjCgF1+YV5uyrjDj00m6EK9rCduvfpSlDAS4a/6vEy64k3O66ZdfW7ZIh6Dr6NUSCUMp2drQU2palhKgvZyyNqcc62Q5SXnYpvKkD+R/lj06OjK5WAiai4uLiEQiuH37tol7n5+fx7Vr11AoFDAxMYFyuWyiaAjg1WrVROPQEudxmUxMtk3grtfr2NjYwPr6Ovb29sxCKr05tt45iW3JGYAGaq1U5EyA4yF/4zvB8n4RQF6/28A9DPhI4Asqr5Uay3mBp5fT1u9awoR72vqknedhxEspB9FsPKcXH5ffudoQCCMDAe5aLoJl3qt4KYxBnYb63RPtRLUd18e8aBv5Esk872tra/9/e9cfa1l1lb913zDMiFjKdDADTKQTiNIYO0WikBp/YDXYGOsfJKUaRUNCNDWp8SfEpFWjf5AYqUaCErGlxkjrVCyZWGvDjzRNlDoDtIWOWEACE6g4U2AyOPPmzcz2j3vWY9311tp77XPPvffc1/MlL++ec/bZv87e3177W/vsg6NHj+Kpp57CRRddhN27d2Pnzp3Ys2cPzjvvPGzbtm1910gtt8i3LeVvll9Onz6NEydO4MiRI+vfl+W927XOrn9zevJPI0JkcsBgycojdDkYe7BItwt0Fde8JB5ttOi682Yi0YUJkX14FoVekvu8EHXCliwceVz7YL3VJrk0SnHo84tubHJayyQuz0nCte6T11dXV/Hyyy/j6NGjGI1GOHDgAC6++GLs2LFj/YPg/FYsr2pZXV1dj1MTO1vlvHsl72nDn9WTTlf+01a3XIfO6fL/NhZXCdGZrUVgufhKTuFFGR5dDlLWOwqyn5RmHF6e9MDQVV1N036+5cg9StTTxFV7v9XgoumVyJ+o/LFwmaZXpqj+64WT586cOTOxFl1v2MVyDw8E8u1NJntePcObj73wwgvYsmULzj///PVtEHhPGb13Dk/TT548iePHj+ONN97AsWPH1vV1/RFslm/4mGcFLCN5ckuuTnJvZsr94y2LcJYkK4lJz6Qs0vIsYg8RfT/XpqPplOL08qYt/VrIgWIWA/pSyjK1lSkJS3cmTRaAPRJHLfdomAiJ1hJ0zaxB50Pq2vK8fvlI+w64/mQD9Tq1rGudBys9mS/PUpLb88pVNZxXeR8TEN9/7NgxHDp0CM8999z6C1Dbt2+f+Bwgv00qv4XKzlj+Y3LntnXq1KkJ6cVabSMHIa1Vy6WgVj1a2raUZqxOXatF67zptK00pC8ltzJHk5kXpz7WK4py1rOXXsT/4PGB1Y/kYJ1Lfx7QCyGWkty7xjSj77IjWvbcwGFNM/m8N+Ng1H6I5OzZsxscrlLG4TxY+6/wMkcm/tFohK1bt65LJfwRbiZ3YHKZonR8yq0RmOylrq41eP3mqgwrnavauo86974VkLNwu7R+F1HnUd3eC29dn9mukH1FbmdD6zcwm5G3ZsnUtNBWieWwlMSYg9eJNJFrCz0yw9B5tuQZ/XUkwF5xw5asJnz9QlNKaf0LSkSTW/PK5Z86vZMnT06Q/tra2gSxS2eqJnn5UpP8rS1vPYvSpCOtdS3JRDX0PiHS9qw6ACZf2tqMKNVNRLLKoTfkPi8re5HW/CzT7kL/97R/SfLS+uUwVto5P4LU3DXZWZKBNVVmYpfOWflZOyaGLVu2rJ+XcpMG6+qWFS/PSXLX1r1cFmnp8NLKl/USJa8+El0XHxWJDHQW+lgfXWJaH0tvyF3vJ5KDtlQjMkTO6rSOvXM5WFp/KT+zhpVOpLFoK1GTYmRpmPaLaP3QI1nrgybaArb+s6NVwnveGtryZr3dInd5XpbHIiJ5ztLQOV1vALNgrS7K9QFr1mrFEbk/JzVM06bZF6KRI/ga6TU3c6/R2Oc9mEyTXm/InRHZR5o7YY0EEu3kNcilH+1oywppcctOppc4WnVkOdmkU9daOslOSdbkZWdj653lGCbmlZWVDWQvHYQcP+dV6+Pen95rhvOty6NJQw5EentgL6yuJzkoROrVO5Z79U9rAeecwl5evDissN4e8F0SrpV+pFyzRm09SvSO3IH6VSqzTqtPqKmbkuNzWnQRr7ViQ5+TRHbmzJn1j3zItzoZPDAQ0cTn9Vh3t0hRr1Vn653DSqte7ute0tmtdeKaOKxwFuR9NfvJWH4MhrfCxWtjemBk5Hw7Xfi6uibvUpylGU3NTDYXT/S+UhweekHuuqJqdTxLR62ttEgjnJeztK+omQbXxAm8Wd9axuA02VonovU17rqT6RmDvG4REJOb/OM8cT6YzKU1LslcyhvyPt1+pd6ud5TUaOtI9Cx1bxag02yLiAXthZm237aFJuYSUc8qX22cqlH0gtxTGn94wXN2WahtFKUpq5dGrhHoBiunulb8ubJFy+6FsfKlYa1KkecZXuPWaXjrti1LWm8fy/vJsHwiwffwNalJsxzHljNb55a1RUQTLwTloHV9rgNN7tpq1k5TPicHAplGidhlnHyP/O85ZK12Zw1WevDMzQIisk2pX0WsYH1c8jt4Mk0u3tw9Vt+L7CVTc93KU+31aBhGb8id/2RF5yyC0hQyl5YXp4R2OnG+2lqv01q8EfKehcQUrWe96kWG53rU1jmTL69rt6wnvfEYf7GIiLK7Pea2NvDakyRAy0L3iFrmU+vzOk2+T6dtzVxyhOr1DW/5pL4m82ylrdNrS+4WatppV/2tZFiVDBzvOMJRHmZdd70gd43INE934rZpWOl4DUNPl9kqnCfZepi1vg6UiT63Wsg6z4RJRBs+piHXtjN4KwL95q3cZZJfVpLWvzXgyNkAMPl2qYxXvozE4Xig0ZZ6zoLUFrtsc7VTcy98RBaZN/TAIGe3uXD6Wm2aGjVk3+a6N5Mt5WuWiHxDdRuALwA4twm/L6X0ESJ6O4D7AFwI4DEAv5BSOkVE5wL4BIDvB3AUwPtTSs8X0thgrQOTMkJOn5ynFm5ZTVKW0WEZi+pc80LNMlAN+Xy9JZRs8TLBy7TkWndrHxmZjjWoy/+5wZoHAGnxygHP8hUR0cTKGEuu4XAlRJbrdbHuvEvUyDbzJr8adDXznucAHLHcVwFcl1I6TkTnAPgiEX0WwG8AuCOldB8R/SWAmwHc1fx/NaV0ORHdCOB2AO8vJZL7cERkOd00yMUl5SIdXp+3Orb8D+S3x41aHJ7lY1kPmuwi0BIQ/1mk68lFNR83IHrTYSqhiV5uZMWzJuk4TSlNvLDEK2T0YKDzJ2cQUo6Rsouldev92zmcN0uRcpQezOSxJn+9Nl7mwTpmgtfplZ6J1da9tNoiJyN58PpVDXQd1uajTZqWL2meg1nkG6oJwPHm8JzmLwG4DsDPNefvBfD7GJP7+5rfALAPwF8QEaVCSSKa8iLhEW9Eu/d0zxJZcrpMfnpNOcefs05luFJ5dHjpZ9CDhNz8q4RIGG29AxsHCLnnDICJNe9Sd+dB7uzZs67DVUps/N/a+Etr5JxPqcFr6UaTrCyTrBNJuB6BRzR4GVbLTTK/GhbZSwmy76vDasixRjKxZnBe/dXMkiKO4Fy+ahHS3IloBcBBAJcDuBPAswBeSylxbzgM4JLm9yUAXmwydpqIXgewA8CRmozVjnDTjIhtG7GckkcIVcNycOm8SOu/zYPWDsfogORJZR6shlv7kpnclsC7V5OdlCL0c/BmfNI/IfOpiViSoiRLeS5qiFiv2FszKv28LcewN3OzfufgOcE9K98ra46kaoyKkh9NDjyluDQiYXUdWgOtfD65/e4jGnybPNYgRO4ppTMA9hLRBQDuB3ClFaz5b7WADbkmolsA3BLMZxUsApv1bKCmo7eJmyFJugZd6LCSTEt5kIQxi3qRyySt2ZDsXJ4TT66E0dtfeM7RSD1yeaWEJPPSJ03cQltDYpkRmRXVhJ8lH0RRtVompfQaET0C4BoAFxDRlsZ6vxTAS02wwwB2AzhMRFsAvAXAN4247gZwNwCMRqP1mtJWowgfzqd1/zTxzRLTzhqActksHV5f1/u+SDBR6nXyuQZcstwj5daWqidZyeu6rJJYrTxoK92anss8yGsANkg2Mi6G3i7BKlsENbMvDXY2MyIaczSNNmXR93Ie9blcnNOkO2t05beYZpCIrJbZCWCtIfbtAN6DsZP0YQA3YLxi5iYAn2lueaA5/rfm+kMRvV02PG2dRnTl2uMu9C6v0qcZsUv5ZkQI1oN2XmpLXDt9pY7NkLtCAhun1NbLQ6WpfkmSsVAqv546S1+BJPNTp06Z98s9bjRkfeSWQvJfrsNbsxBPYtJLcmUYvXbdkwdyg7nMs5VX71wXlmpO3izJhLn0I2XJXbcMG43SWvm2Ttu2g1fEct8F4N5Gdx8B+FRKaT8RfQ3AfUT0RwAeB3BPE/4eAH9LRM9gbLHfGMlIjtSshzqPqW2ttd9Gd4+SeddoY3VLLVa/eCQHgNrZiDXwRuLgNqAHmhxy+71Y+jsPUlYYGU5b/TmL3iqb5UsohbFg+Wiiz0P6LiIavjUAlNpvLalyvnQanoFXGkQ9dDGzL804upC7qmZ6fZjSrKyspO3bt7vX2yyFLD2sSLmnJXerkXkO01KaEX27lK/c4OMta9T7tchZlCYQba3LOD0r1JLQ5DLHXDgNb2MrCe8ZRqQreU0uWcwRu7zXioOhV+rIutWzI4t4o9a3B6ss3n99Tw2mIc3IwBCJvzQDAepX10Te89DtJIISB62urh5MKV1t3dubN1S9UW8W0gffX0qndK7WatH3eOSnw1ukm0NkkIlYWN6U3tJ9U0obVvtoqUdLNzKs1FvlunQ5YFgdSB7LN1WjhKAHMR2//vapdOTysf78nyZDy2KThB+dhXrWoHU9MhhayzOl9a7LpS1jLSN5eZwWpXXu1uAzbT/1nPA1cUwLq5w19dsbcs9N/aIPIxefVVERyURbrhLTSkN6mWI03/p8ybrX17VV7IWTxyUr2opTlkUTpL7X8gPweWCsx1urYnSea7bDlfHIcul8WwQWWY5XIj6LHDkf+p7SRla59iyfpzYurPzyAOnNhOTAJAe6CPlEZsOleitJVhH5o2QA1c78c1yS65/yWqT/1gwqvSR3bwrfJTQ55MLwbx22lLe+L3mLIDpr8Igi9+YxwyImOZhaViTwpgM2d67Uyds8o8jHZLzz1owikscu9dyI1AfEPnOnj60BvrbcpbK2kVi7hlV31hupXljAn3HkZmA17bU35C4hp/26YQP5EXCWKKXbZvrXB5Qsvoie2AZ6Hbq2UOTMBpjcfsCDHgRKA7COLzo7y73A4kF23JLlLyUQTbJeO8wNKvK3J3PU6s5WfkpSgqwDa0Bi/TqXh4j23kdYbUuXF+jG8Qr0hNythmnpuhJ9IE49qkYeyLJY87kBVfsJLPLX2rfVYSMOU/nmqSbUiDVfW986Dbm/jMyrBYu4I9q/Fb+0+vrSZtq8GQrk+6o1GGj5rdTHar5klYsnCouQgXo5yZvl5FCjZPSC3AG7w+cIPqeJlRyIUamhlGYkfEnKKcXpTaFz5fUaVXQ6npPFLGK30vF0fb4noh/OQpKb1iLyyNr7pqnVhnMOQr6nZrWGBy8Ozo+WBUr6t2eA1eSrRLJW261prxHUOCYj/c87V5oFtiH3GvSG3BmW0ywCyxkYfegWCXtOQytN/h3ZjyM3mvd1Ogn4jlw5KGvi17p5yXKpJQoLljUvEVkuqeE5JPmcXuqYs+Byz1ta/rWWps5bmwEil+/oLKSURheDa63BlNLk5m9WWywpBG3yXXKCR1YaTaNQ9IbcPfLQ5/h8Tje0HkjXo3/b+0tT1HnITbr+NOFZVqZ+UcgiBiv/etsCr4FbMzY9WPBXmKaB98aqh5KFFlnS6BGEtKAjK2tKecvJQta9EblHykPes88RYBf6eMnfUIoztyJJGiK1+aqFfh6RNKbJR2/IneFVQFS+ADauLmhLmG1kmJowbTrDolDSD9k68ix4YOPKGX0+om2XnE25ZzDLutVOT2+lSVsL2IpHH2tNPPemb+SFGk9jr7HGa8sYGQyiBF8ypGS704N8SceXxkdO1rLyJX/XyMm16B25AzHS0wRSmmblKt57OSZnMURkGwt60CnJQaXpItDOSSsbv3z5SOaJf8u6kB2CO4WMS6+Akc/Hk9ws652P5f1Scil9+Jo7q56Olyz1yDJHr7714CX3i7FIvYb4rAFBGzQlzVwv7fXepPXStvI87YBpxRcltFI9lpZx5vKem83q41JcOdQYrbXoHblbFRUh+1ynLRGkZ+HoRp07bgsvjhoZSQ9wuuGV1tuWIOPjl408spFWowynic/68hLfxzsY5hxQXv3zapnIoJgL1zVKdZ97ASxHYm1XsMwLs5I3+gZLtpqHxJpD78hdYtaVJOO3iMSaMs3ygcm49QZWOXgOJSZIS/aYphzelNQacLREoEnLsuytMufIXqbL1r1cEpl7GUfXg/USVM4ZJy15T16S6ZcsPjlbyp3TaXp1Nm94xOv1ZSu83tlSIyprdTHj8Gbn1v1t/AGla1Z9RX1zvSb3GpR02ByxeRZRzYZlUY0/d81KL9JBI5tc5dLWFnEJ/Np5DiWJgNPN6ezR1R7eDIDTkI7YNoOafnlKx+G9ZMQdMaU0sWdLCVIP9p6dJhmrndRuxbBs6MJ3EUVkcCjJM13lMxpP78jd6oSRFwasOPQ5T9v1HBm6w+pwmuDkPjFREqklm5LThYlE50tCO3KmyZNF2N79nvVp5VHKNnoGkrOU9bXRaDSh1Vt1Y21jwOA8yDCnT5+eePZ6wzRdJ6yHyxVHEalMPktt+euZZM5y57asfSiyDLkVJTI/JUL1DKc2g6olR5U29JoWOr/8rKKcYakApbTk/blBxPvtoXfkDnQvfWgnmH5YbfVZyzKSllpOprA6iTf4lFAKXzslbdMho42/DaZ5Q7P0zPQSxtFoNEF6Os9M7HIHSg1rANF+i9xsS/orcjMbGbeVF1lW7eC28pxzFkcxa2s6twKo63TawstfZCblSX7yXBS9JPcIZv2ApXUbJSpvZJWd1HN68jk98ltWd6TsMs42lntOr5Tx6zdU22qROUjdXiLSASMdih24HKe29KWVnFJavy63JpawltXJcHq9vv6ttxSW9+TkIYmcQzb37KMS3aKchZafZR6yTO6tYi9MCSXjUcpzHtbW1txrS0vu80TOGRSRYazprG6c3v2lV5Yt6BmDZSVGiYHj0IORV56o76FPkNa7tTeNJjxv3T6jS61bDjpENDFr8FYc8X2RtezLiGVpV7WIzNRqyh75huo2AF8AcG4Tfl9K6SNE9HEAPwLg9SboL6WUnqBx6n8G4L0A/q85/1ggnQ3notZ5yYqOxJWzBLRlLX9La0hr9NLq015uy7K3BoqogzPqQQdiMk7OAW3FFXFS19zPccy7I1u7Skp9XD7z06dPr1v9umPqbRlK7Utr62z9S72e2xgPQN4bu/JlMi/dnMbetwFBGw7zaBelfWFmVUeWIaWvRxGx3FcBXJdSOk5E5wD4IhF9trn22ymlfSr8TwG4ovn7QQB3Nf+ziOzLkruuw0asU9lIShZnZADxCBuI7QevBwwLluYoBxhLAtLkpNPXRFRK38o/l08uY6vdx8Wb1UR9Il4+rTQicVj36vu1jANMSjmnTp0yibYEaZXL/9bSR11WJn1vh0xP2uNn78lgnK8IvLJGSLHW+NBos3y4ZkWZl0Yt4bcZIDrV3NM4tuPN4TnNXy6F9wH4RHPfvxPRBUS0K6X0cjhXHSDSkbQllrvHsqotS8cifE9HjzwoyyJeW1szSVrHazk5I1ZP7nqOsIkou/KkhLbWfw6WJOZd5+Pc87RgGRa542ngLZe1NGG9ooefv7fiZGVlZULKkdo/4K8CyqGLZzpvfX2zINQTiWgFwEEAlwO4M6X0KBH9KoA/JqIPA3gQwK0ppVUAlwB4Udx+uDk3V3IvQZO0JkvLOvCse2uAsF5c0Za0JGOPUCOdw/pEnRWvtMhyFn7E4tb5kvKKJgTvJSLvvKfjt+3YpftyZB6xVEtvxUbzIeG1h9JOg9610lp9PieJXz8H6xu52qEXIfvaAaF0rU27KMksXcg+XVjy0wxmIXJPKZ0BsJeILgBwPxF9L4DbAHwDwFYAdwP4XQB/CMCqlQ05JKJbANzS/N5wA5NCtJLbPgxNftZUOBqP1tVzg4GG9xAjGjynzSQvX+GXebJI3cuXXiViQa+U0b8lWXgWvbU6w6sLr0NGyGCWFl/UMm+7B5AEl0fv0hmZjWlLnhGRHDgOa+CWx9bqDa8Ms9LOo+WZNo1p440MKDMnd5HQa0T0CIDrU0p/0pxeJaKPAfit5vgwgN3itksBvGTEdTfGgwJGo9FECXi6V2NJ1lZCZC8aHUZXfsmqjjTctg84NxgAk05Wr6yakKWeq/0FFnlH3lTVcdfCevOTEbGq2+6rU9NxvRmahWkHmWi+Ss/Fuq7lPEvqyRkpnuSjdXwZb0QCy9VZWw2/1qFc0vkj4Ut9fe6WOxHtBLDWEPt2AO8BcDvr6DTO4c8CeLK55QEAv0ZE92HsSH193nr7ojELa6QNahuj/K2tKknwbLXIT+lZDVcv42uD3Juf1myA8x3tjFaYWousNOOomT1En5m37lpKKLOGJ+14M3G+Lp+pzKc2TOS5WSNn6Mwr3a7LGrHcdwG4t9HdRwA+lVLaT0QPNcRPAJ4A8CtN+H/GeBnkMxgvhfzlNhmbB0GWdO6SpR69L4dZNF5tQUZnFJKk2ApjSKmHO6TsmDlLsUZey6E0k+J88jWWqiS0g1U7BSOdeVptvStHsYyHSbWNA7h0XiI32OZmaN6gqzV+7T8qlSla5lw5opADVxekrwfCrrmA+uB9Ho1Gadu2bevHuuKiskINSvuBW3F2HV5KT23jsMLozuORor5PyzJ6DTp3JLk6R9aj9dq+XslTg64dqFaH1MsYtRVes+TNs+C9pavTwJqZaH+Khxy55+6LyBse6Vn6vAaXSer21gDNedXGyCzg9U+r71qzX+86sNHoidyjsbq6ejCldLV1rRdvqKaUjp84ceLpReejY7wNwJFFZ6JDDOXpPzZbmYbylPFd3oVekDuAp73RZ1lBRAc2U5mG8vQfm61MQ3mmw/x38x8wYMCAATPHQO4DBgwYsAnRF3K/e9EZmAE2W5mG8vQfm61MQ3mmQC9WywwYMGDAgG7RF8t9wIABAwZ0iIWTOxFdT0RPE9EzRHTrovMTARH9DRG9QkRPinMXEtHniejrzf+3NueJiP68Kd9XiOiqxeXcBhHtJqKHiegQET1FRB9qzi9zmbYR0ZeI6MtNmf6gOf92Inq0KdMniWhrc/7c5viZ5vpli8y/ByJaIaLHiWh/c7y05SGi54noq0T0BBEdaM4tbZsDABrvgruPiP6z6U/XLqpMCyV3Gr/1eifGe8C/A8AHiOgdi8xTEB8HcL06dyuAB1NKV6DZJbM5L/e3vwXj/e37htMAfjOldCWAawB8sHkOy1wm/g7BOwHsBXA9EV0D4HYAdzRlehXAzU34mwG8mlK6HMAdTbg+4kMADonjZS/Pj6WU9oolgsvc5oDxh4r+JaX0PQDeifGzWkyZ+K2oRfwBuBbA58TxbQBuW2SeKvJ+GYAnxfHTAHY1v3dhvHYfAP4KwAescH39A/AZAD+xWcoE4NsAPIbxXkdHAGxpzq+3PwCfA3Bt83tLE44WnXdVjksxJofrAOzHeOuPZS7P8wDeps4tbZsD8B0A/lvX86LKtGhZxtv7fRnxnanZIK35f1FzfqnK2Ezf3wXgUSx5mRoJ4wkArwD4PIBnAbyWUuI9B2S+18vUXH8dwI755riIjwL4HQD83vsOLHd5EoB/JaKDNN4CHFjuNrcHwP8C+Fgjnf01EZ2HBZVp0eQe2vt9ybE0ZSSibwfwaQC/nlI6lgtqnOtdmVJKZ1JKezG2eH8AwJVWsOZ/r8tERD8N4JWU0kF52gi6FOVp8O6U0lUYyxMfJKIfzoRdhvJsAXAVgLtSSu8C8AbelGAszLRMiyb30N7vS4L/IaJdAND8f6U5vxRlpPH3cT8N4O9SSv/YnF7qMjFSSq8BeARjf8IFRMTbbsh8r5epuf4WAN+cb06zeDeAnyGi5wHch7E081Esb3mQUnqp+f8KgPsxHoCXuc0dBnA4pfRoc7wPY7JfSJkWTe7/AeCKxuO/FcCNGO8Hv4x4AMBNze+bMNat+fwvNp7xa9DD/e2JiADcA+BQSulPxaVlLtNOGn85DPTmdwgOAXgYwA1NMF0mLusNAB5KjRDaB6SUbkspXZpSugzjfvJQSunnsaTlIaLziOh8/g3gJzH+JsTStrmU0jcAvEhE392c+nEAX8OiytQDJ8R7AfwXxnro7y06P8E8/z3G34Rdw3j0vRljPfNBAF9v/l/YhCWMVwQ9C+CrAK5edP6N8vwQxtPBr2C8N/8TzXNZ5jJ9H4DHmzI9CeDDzfk9AL6E8fcG/gHAuc35bc3xM831PYsuQ6ZsPwpg/zKXp8n3l5u/p7jvL3Oba/K5F8CBpt39E4C3LqpMwxuqAwYMGLAJsWhZZsCAAQMGzAADuQ8YMGDAJsRA7gMGDBiwCTGQ+4ABAwZsQgzkPmDAgAGbEAO5DxgwYMAmxEDuAwYMGLAJMZD7gAEDBmxC/D80iQfucEjZ1AAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(im1_g.download(), cmap='gray')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(im2_g.download(), cmap='gray')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Flow를 계산하기 위해서는 같은 dimension의 CV_32FC2 type이 필요하므로 아래와 같이 GpuMat을 잡는다."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"flow = cv2.cuda_GpuMat(im1.shape, cv2.CV_32FC2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"GPU용 OpticalFlow object를 생성한다."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"of = cv2.cuda_FarnebackOpticalFlow.create()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"newflow = of.calc(im1_g, im2_g, flow)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"이상한 점은 이렇게 했을 때 optical flow 결과는 flow가 아니라 newflow에 저장되어있다."
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sum(flow.download())"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-2242857.0"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.sum(newflow.download())"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"flowcoord = np.dsplit(newflow.download(), 2)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"def draw_flow(img, flow, step=8):\n",
" h, w = img.shape[:2]\n",
" y, x = np.mgrid[step/2:h:step, step/2:w:step].reshape(2,-1).astype(int)\n",
" fx, fy = flow[y,x].T\n",
" lines = np.vstack([x, y, x+fx, y+fy]).T.reshape(-1, 2, 2)\n",
" lines = np.int32(lines + 0.5)\n",
" vis = cv2.cvtColor(img, cv2.COLOR_GRAY2BGR)\n",
" cv2.polylines(vis, lines, 0, (0, 255, 0))\n",
" for (x1, y1), (x2, y2) in lines:\n",
" cv2.circle(vis, (x1, y1), 1, (0, 255, 0), -1)\n",
" return vis"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"flow_fig = draw_flow(im1, newflow.download())"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.imshow(flow_fig)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"cv2.cuda.resetDevice()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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