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@ljmartin
Created July 3, 2024 07:32
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import seaborn\n",
"import pymc as pm\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Create some features\n",
"The features are a sparse binary matrix, representing one-hot encoding of tokens. The occurrence of each token is not equally likely. To simulate this change in occurrence of tokens, we change some random 'weights' in numpy, and generate sets of 10 instances at a time by asking if some random numbers are bigger or smaller than the row of weights. Putting all the instances together, we'd expect to get reasonably even sampling across all 512 features. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"nfeats = 512\n",
"Xs = []\n",
"for i in range(100):\n",
" token_occurence = np.random.uniform(0,0.02, nfeats)\n",
" on_probability = np.random.uniform(0, 1, (10, nfeats))\n",
" Xs.append(on_probability<token_occurence)\n",
"X = np.vstack(Xs)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Count of observed instances')"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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L8M0/LMP29g+rMzN57kv4r3tew4r1u7j7iy2RHqnEsCptNdTzY5rrqsfexbf/9AY+2GCTmJoS5c37+xtrce59/8HJf3wltvp0RZ59fxPO/vMbOPL3iwGwi6EGj6e3WS/osBgLQLt370ZjY6P/e+3atbjtttvwwgsvxFoxixrvI1i2apvy2I01XWcx2LcEWiBVevl8YzVAZpBNxM6KN9dmBPyt9V3nPY+LKO/e/727EQDwxfZGxZEWGS9+vBkAUNvUBkCjr7L9RSwYC0AnnXQSHnzwQQAZh+NDDjkEN998M0466STcfffdsVfQokYUBlnMyyvksmaiDr3YBA7rA2SGS2jM2LXAvEHCOkebE8kEVgwfUieAbcWUK++ryL7MhsGHx1gAWr58OQ4//HAAwGOPPYb+/ftj7dq1ePDBB3HHHXfEXkGLGkfwBXTVBSNF5qRi0wCRRF4NvrhuJyfQUWD0DXu/i+25dgSitJhtbTlhX0cqYIPTykU8t+1QGAtAjY2N6NGjBwDghRdewKmnnopEIoFDDz0Ua9eujb2CFjWiCUAx+LmIyOU4JdQAUbk1cnd9XWgNUBFUqMiRLR7rCfvWOdScKE1m2zs3qHyAbLvHg7EAtPfee+PJJ5/E+vXr8fzzz2PGjBkAgC1btqBnz56xV9CigcgERnwkXUlNKuoaii8PkLWBmUBFgbEmMF8DlMcKdRKifAu2ueOBFWjoTNBWA5QrjAWgX/3qV7jyyisxfPhwHHzwwZg8eTKAjDbogAMOiL2CFjWOQAJqI74S0TGFI3dfsKg/L7Y8QMVskitGZFF8bdYEFppIJjDb3LHANiO1TqDCB8g+g/AYJ0I8/fTT8Y1vfAMbN26k1uY66qijcMopp8RaOUs0itkJOpeIzElFlwfIrgZvhCwPkNUARSCKCSy+WnRp2O9flQeISSOfkzp1BULlARowYAB69OiBBQsWYPfu3QCAgw46CGPHjo21chY9ROatYvYByiU6GqBiaBtX8He4sgp/P7mGygTNmgysD1BoImnNbHvnBNoJmrc/+7d9BOExFoC2b9+Oo446CmPGjMHxxx+PjRszeSC+973v4ac//WnsFbSoETpBKyIJCkkhPlpK4CiCXsO1nZgR5DNrYzIheuHv1gRmjo0CyyV6LRQIg1f4AFEmsFD1sgAhBKDLL78cpaWlWLduHSorK/3tZ555Jp577rlYK2fRQ5wHiP93Z0ck3BRbFBhQvAJqMSI1gdk8QKGJMhmw8mY8sM9AZa63GqB4MPYBeuGFF/D8889jyJAh1PbRo0fbMPgCIXaCzo4GxZYTqBBh8MXmdGw1QGaQbdTGSPRt7ZJPMTzXjkaUFrPtLUe3eWQaIJ6ASvsP2mcQFmMNUENDA6X58di2bRvKy8tjqZTFDC0NUBf6SPTC4PNSFSlFUIUOhSwRovfTDgbmWBeg4oNyguYKQMTf+ahQJ8VYAJo6daq/FAaQyUKcTqdx0003Yfr06bFWzqKHjg9QV4oI6zBh8IpZnoWGbKLWgA+QjQIrBLa5cwMtAAX3W+1xPBibwG666SZMmzYNb731FlpaWnDVVVfhww8/xI4dO/DKK3ZF4GKCdqQrYEU45NLnRRgGT/xdDBqxWKPACn87OUfmA+QJ+8XwXLsSVnCPCaYZSV82dR4g+wzCYqwBGjduHN577z0cfPDBOOaYY9DQ0IBTTz0V77zzDkaNGpWLOlpUCGxgxRb2nS90lsIoBmdZO4szg9SYtdk8QJYOgO7ryE7aVNpqygk6TMUsAEJogIBMHqBrr7027rpYQiIygZGhwsU2SyhEdVR29Xzj2iiw0LQxEqwnEBXbe97Zsc0dD9JEiEon6JxVq9NjrAG6//778c9//jOw/Z///Cf++te/xlIpixlCJ2hS45GDr8R1Xdz8wko88c6XsZcdBR0n6EIOlF/ubMTsx9/HZ1vqifoUrDodBjoKjO/fFtbX7akVG3Djc590OAHKdV3c8sJKPPZ2Yb5BleC+ta4ZP3/ifXywoSZPNSos2+oz9xsV1WKotAaoY72zxYSxBuiGG27APffcE9jer18/XHTRRTj//PNjqZhFH1EYfK59gN78Yif+8NJqAMApBwxRHE2T009WMIjRYfC5rICc/35oOd5nBgTbhakRRYGlKEE/XNmXzVsBADhs7z1x2N57hiukAKxYvwt3tH+Dp08y+wbjQCUv/mz+e3jxky14+I11+OKGWfmpVAH52fz3sfDjzcbnse2YovoqXiNbDVAcGGuA1q5dixEjRgS2Dxs2DOvWrYulUhYzhEth5DgKbEdDS+xlxoFYA1QcJjBW+AGid2JdoQ8UaYBUOVNM2FbfHOn8fLOrsbWg11e19ieb6vJSj2Jh5ebaWMpRmbhsGHw8GAtA/fr1w3vvvRfY/u6772KPPfaIpVIWM0Q+QGnBINHZEQk3xZIHqCTBe2Jd5/mEhWwh0gcoTt+uYvANM0E0+ckXqvbqaCbFQsGasVRCPZ0J2rZxWIwFoLPOOgs//vGPsWjRIqRSKaRSKbz00ku47LLLcNZZZ+WijpaQUH4SOfhIonS+hXaCLmSnkeQIQF1pqZKwUGuBCSLCogq2He05JAotASna2w7NegSdoPl/+8fbtcBiwdgH6LrrrsPatWtx1FFHoaQkc3o6ncZ5552H66+/PvYKWtSIM0EXh8kn3wjD4Im/C9keJQkHrKHFOjKqIQeClMgJuotpgEgBKJ12keBqF3OHqrU6WnvGTdiJlkqrSQnqXbuJI2EsAJWVleHRRx/Fb37zG7z77rvo1q0bJkyYgGHDhuWifhYNHIEERPkAFdlHEveAT9nMBcfQeZFivbwRvEGqi48TmvC1PrS5IOIVOthzIF+l1nQa5YlkXq+vGuA7WntGhb1f3dtnj1MFsNgUGvEQKg8QAIwZMwZjxoyJsy4WA3RmFqkc+wBFmmvGXB2d1ZGLJQye5wMUtTZdYaChnKBT/IV+ozr7dzSNBTn5ieMbd11XOKHiHq/YX2wTr45AOu0qzfU2iWo8GAtAqVQKDzzwAF588UVs2bIFacZo/tJLL8VWOYsYnY6l2BL/5RJaAyRygi6O9kgmgq53nfzxxALZRLQJLLs9sg9QB3sOpKzCZscOg+ua+fZZJ+h4oAM0XKVZ1wpA8WAsAF122WV44IEHMGvWLIwfP95otmCJD3IAEDlCkpmgc+MEbfbsc9kZUn2/lg9QzqqihK8Bsr2YClEYfFuarw0KQ0ebKJBvUipsEiQC0xJUzdWxWrOQENp611VqtK0TdDwYC0Dz5s3DP/7xDxx//PG5qI9FE7Kj1skEnevoFh3VeS7HFkplLDqmSJzCeVFgcfZipmaMjoIoEWKaWjiyawlAJK0hPnK2vTK/DUxgKgGoA7dnPmE1Oir/TRsGHw/GYfBlZWXYe++9c1EXiwHkOy/qrkhH31wshSGqjwgdISWeuvBL1/ETygc8ASjO6nTW/pAc31tFPkBRBaAOZgMTRcaFOZ/3OyodqzXjJ8zrmNLyAbIaoDgwFoB++tOf4vbbb7dSZ4HR6ehznQmaRKc+lJUq5veH7jDU1y90GDxL9PYoDu1WLhEuhRExD5CrmG0XM1RupBAmMFZoMjXFqt7bjiZQFgrKv03DB8hqgOLB2AS2bNkyLFq0CP/+97+x3377obS0lNr/+OOPx1Y5ixgtE1iO1wKj66M+JpffqU5q+OJxgs6xBijGsooJkQ9QVGd/Oulcx2o9ah20UBog1gRmdr7q8I7VmtGJ4/Vx0zrrFqonfBY1xgJQr169cMopp+SiLhYDyI9CtBgqlSslF07QVH10NEC5U9tqaYAoc0HMFTCAKwDF6gMUX1nFikgDFNbkEOX8QkL2A20hfICiCnxqH6BIxXcZyMlZynXpd5J7PKT7LXoYC0D3339/bBdfunQpbrrpJrz99tvYuHEjnnjiCZx88sn+/gsuuAB//etfqXMOOeQQvP7669Jy58+fj6uvvhqfffYZRo0ahd/+9redTmjTUXumqY49BwIQMY5rCUA5/FIplbCgSyiWpTBKkrnVAHU0LYYu5G1RPkCCrNC6dOR0EeT9hgmDZ7VGpvdvw+DjgdVCKjNBF4k/Y0fH2AcoThoaGjBx4kTceeedwmOOO+44bNy40f/37LPPSst87bXXcOaZZ+Lcc8/Fu+++i3PPPRdnnHEG3njjjbirX1DIjktnNfhcL4ZacFO/RodQLKaOJOeB2YFCjY4PUBhNJ52DJVzdCgX5HofxAWLv15rACgMdsWvqBG1bOSyhMkE/9thj+Mc//oF169ahpaWF2rd8+XLtcmbOnImZM2dKjykvL8eAAQO0y7zttttwzDHHYPbs2QCA2bNnY8mSJbjtttvwyCOPaJeTL8KGLOt01FGdQ2WwH6V4Bfbs/bFmqjD3LjrH1AQna4+4w8jZ8nR8gLxz2HNFdXMNhTteObkKn4+rXNrcwxd6dAfwdDrzNiQTTmQNUCHTDqQiaoBYjZlpCarmMm1P0XufL3Lx7evA9tWkiZ5n2cylBkjWBuS+zpBuw1gDdMcdd+DCCy9Ev3798M477+Dggw/GHnvsgc8//1wpzIRh8eLF6NevH8aMGYPvf//72LJli/T41157DTNmzKC2HXvssXj11VeF5zQ3N6O2tpb6lw/+9vpaHPTbF7FyU53xua5Gp8/OKuLi98+vxJQbXsK2+uySni7nI61rasURNy3GnKc/DNSzpS2NY29biiv+sUL7uje/kLnu1jp6KdEn39mASdctyNZFKIxl/xZ1zPXNbZj2+8X41VMfaNdLhlfnLXVN/rYSTiZocuRZ8NFmHHjdQpx61yvUuZ9ursPB17+Iv732hfSaqg7x3qWf4ZDrX8S67Y3+thXrd+Gg3y7E/Le/VN6TCava6/ygos46UH4SERZD/XJnIw6+/kWMvfrfeOztLyN9J7cs+DTzjGqb1AfnADoMProPkLkAqDKB6Zf0m399hMNvXISNNbsx/feL8csn3zesSzQaW9pw5M1L8Isn4ruu7u2zWkxVwEau/ClvX7gKk+e+hE01wff5zy9/joOvfxGfb63322r24/l9RnFjLADddddduPfee3HnnXeirKwMV111FRYsWIAf//jHqKmpibVyM2fOxN///ne89NJLuPnmm/Hmm2/iyCOPRHMzu5Z2lk2bNqF///7Utv79+2PTpk3Cc+bOnYvq6mr/39ChQ2O7BxlXP/kBttU3Y/bj7xmfq2POSRkODLrcuWg1NtY04e7Fn0nL/3RzPdbtaMSCjzYDoD/UxZ9uwaeb6/H48g3a1/3DS8HrAsBPHl3B+ADx0REan3hnA9Zub8SDr63VrpcMr87/u+RzfxtfA5St0PcffAvbG1qwfN0u6n5nP/4+ttY14+qnPpReU/Wkr3/2E2ypa8b1z37sb7v078uxrb4FP/3nuxp3pc8vnvgAW+ua8StFnXUg70scBq9+z1es34Vt9c1oTblY+ulWjYgbMXe8uAoba5pw56LVZifGRFQTGGsyNDaBKY43Ke++ZWvw5c7dOPN/X8cX2xvx0OvrzCoTkX+9uxFrtjXg72/k97pAcLKq1N5TGqD4+vZbF36KTbVNuP3FTwP7rnvmY2yta8Zvn/nYb6tH/pP/tooTYwFo3bp1mDJlCgCgW7duqKvLaC/OPffc2E1MZ555pr/kxgknnIB///vf+PTTT/HMM89IzzNV7c+ePRs1NTX+v/Xr18dSf13CZLDXSSoY1TdCRUtbdsbJX6/GpeqhI4DooJrpivydCukDRL59PCdo2S15VW3TDF3TvTfyuJYchcWFiUwSwd4W+34B5qZhndm2Drn2sdO5bpg6BG43dh8g8zqR/UpXgU3rQD/KYBvm+nVraRNfoC3t5jyxbr4wFoAGDBiA7du3AwCGDRvmR2StWbMm546cAwcOxLBhw7Bq1Spp/Vhtz5YtWwJaIZLy8nL07NmT+lfs6IR9R42OUdGSogcSFu+S3sdNHhHFdKy6FdEgRm4XDRY8B+U4ILU+vLXbZAOFd7juIwzzGXaM/oyvraB9gNQ3QmpKXJedbYdriEI1H1nf1hiiwGJPhBiiYQo1uBbSnSXNCLK0X1rweMoEloPmkk1c3BxdsxAYC0BHHnkk/u///g8A8N3vfheXX345jjnmGJx55pk5DzXfvn071q9fj4EDBwqPmTx5MhYsWEBte+GFF3ytVWdBx59FtZ5MVFraUtz6ZK/pzdDTgWNEuYt0UA1Som+XPE1UBG+ZrjhIEAVzNdoaz0d23+SecBOR4u/RAhqg9v9F64KJYLUmUZeT4NUtX9BCfRw+QKbny/eHeRcLlT1atKh0PmD7aqMw+Bx8uyqH+s4SeWYcBXbvvfci3f6hXXzxxejTpw+WLVuGE044ARdffLFRWfX19Vi9Oms7X7NmDVasWIE+ffqgT58+mDNnDk477TQMHDgQX3zxBX7+859jzz33pASt8847D4MHD8bcuXMBZFarnzp1Kn73u9/hpJNOwlNPPYWFCxdi2bJlprda1OjMVNlZRdy0Klab97b5M+6YqqC6d9EMUsfUkciRBEQuf8ENa5Wc6wmLus+ws2qAAtYa1wVgHsVFLhqadsXO1dFqlx9ImSdUGDwjM5kKLKrjw7RKoVJU8GITIqN5K1TUV0ArySk2JncCYX0k75KTo2sWAmMB6Msvv6SchM844wycccYZcF0X69evx1577aVd1ltvvYXp06f7v6+44goAwPnnn4+7774b77//Ph588EHs2rULAwcOxPTp0/Hoo4+iR48e/jnr1q1Dgnhzp0yZgnnz5uGXv/wlrr76aowaNQqPPvooDjnkENNbLWro7LUCDVCMq2TzIP1G+B9p5n9vNqGzfIcOqkFKGJKvcUyuTGDk7JJXf53Ho/sIdQcQ8lZz1Z/FWa4oZNt00V/WNCwKrzehUANC1FxfASdow/NVx4dpl7DPICqF1ACxkYzqPED8v+NCaQKL/5IFwVgAGjFiBDZu3Ih+/fpR23fs2IERI0YglUoJzgwybdo06cD8/PPPK8tYvHhxYNvpp5+O008/XbseHRGdPBCkSjwXdnWVj1HWBJb5P64aKH2AhE7QapMgL0IrDshy+QOVZMbl+wBpaoBMKtaBCGqAMv+T77lOE7WlxIONrqM5S6G0FmT/GcYHKHIYfEy3XQzLkcQhAIWdaJICRyrtUpq5fIbBe7SqtImdRAVkrPQTRVTV19ejoqIilkpZ1OisYJ1rHyC6PsFt3jVbfR8gtWlKB5WPgGg3LTSqTWBxas1IuYpXrOxS3qkyITaqSrwjZKIO+gB5AnZ2m84ATkeBMaHkHU0DRGq/wvgABVJBm50f122LljbJJyotbS5hJ7Sq5J6uRl8WBVX0ZvH3Fnpoa4A885TjOLj66qtRWVnp70ulUnjjjTfwta99LfYKWvjoOMHR2URz+8pyfYD88Pds5l0ermtmEgvvA0SWwT+XNIGlXYATsR6KJGGm5dVP5+nIbltHuJOWbXyGZrkxFsy+QbwoMJ3XvJXSGLlUHQs1+IYl9qUwDM+Pa/BtbsuttloHsg9qS6eRTCTzdm3WMV/lr6iT9ywKqnepUI7qcaMtAL3zzjsAMi/8+++/j7KyMn9fWVkZJk6ciCuvvDL+Glq46ITB53ORR5kTNJCZWQtNda6LhEFUWNjIEx0n6CShE42zEyTLleVM4uF1zLJjdPJCyegACiDhjZlmgiYdPNmQ49AaoFBnRUcntYOMQBh8EWiAChcFlv07LkFYtxQ2FYOZE3T87SW7fweMP2XazVnwSK7RFoAWLVoEALjwwgtx++23d4hcOZ0Z40SIOc4tppqlpNKuRFPlotRAzlBqgAQfr6txjJMjNTipXud18DpX0q1OGGG3I6yCztYw6wNkNhiwSeeo9bRCfiiFaj7yXSqED1Bc900KQMXgBB1XHXSFE3ayqtLo6viARkH2LrF7TCewxYSxD9D9999PCT+1tbV48skn8cknn8RaMYscHRtwrpbC4MH7XugkbWlh5IJp1dQCkOA8DUdL0gSmdAQ0gHSClkXM8fCEMplApqMRLARxVoV97lkfIOI9N8wDlE7TzyO8BqgwjU6+oqkQwluwTaOdH5ZiyP5MCUAhv/2AkK55XhszWVUHbETT+Crrw7xLMk1hRzMbkxgLQGeccQbuvPNOAMDu3btx4IEH4owzzsCECRMwf/782Cto4WOcCboAJjAqv0pKbgIzQfXBiQRC8jRxHiD966ggz1dFgcmu5J0pm01SAqVuBXUrUCQEnKA9DZChqbeViY6MIw9QMWiAQq0GH2hTQw2Q8RX5tOZaRW1IXEu46DanLAye37eaX8MEVgBkBdSoptdiwVgAWrp0KQ4//HAAwBNPPAHXdbFr1y7ccccduO6662KvoIUPpfYXmZby+JLy+gt2Zk2HboYXzlS3InSC1rgmmaE6aidInk+ZwAx9gLLnyfaRWg299iTvtSN0YaLZtamgnwqEwWf3hY8CK0wLFtoHKK4Xp7kINEC5GNR1NYMp5vtVpQXQCYKJAtv3ydYK7MjrghkLQDU1NejTpw8A4LnnnsNpp52GyspKzJo1S7pGlyVeaG2G4BiFI1289QlegO1QRLMWU6fHsOsP6USBkZ1JrjRAxto4jTxAUZ9vxwiDZwfrzG+d/E4klA8Q6wQd1gco1FnRIQefcBqgaAJQXINvnObmsFCCcEz10W1P1umZlD/4mePVFoAosH0fqaFjIyc7ckSYsQA0dOhQvPbaa2hoaMBzzz2HGTNmAAB27txp8wCFJcQbrJP3JdeLodL1kV+/NZUWdpWmVVNmghY5QWtETkRdWoCEHJCSMWSClt42JdyFeJ+Mz9AtOL6SY9MAsYNNDFFghYK83XBLYTACkPFiqMaX5FIMJrBcvAe6pVDLFgVMYJzjKQ1Q/LACKWkCa02lu64J7Cc/+QnOPvtsDBkyBIMGDcK0adMAZExjEyZMiLt+XZ7t9c348KuawHa9PEDhzEx1Ta1YsX6XkVaALf+rXbvx2ZZ6qi6iMHTTD0jVz5MZqN9euwNNran27eQx/HPJzW1pF40tbVi+bqeRAOldt6G5zd+WpBIsiussQ/Q8Pt9ajy93NlLl1zS24v0va7BueyPWbm/gnrextgmfba3HR1/VorElmMF9/Q7xubqI7urzrfXYsGt3pMLc9j5ZFTLMwmbdjcOh03WBVZvrsLm2CQDQ1JrC22t3KMvbUteElZvqQl0TYCM9zYWIwFIYmre/fkcjnn1/YyyCQlNrCq99tj1yOVGRLSy7fkcjvtim/hYC7afZPIHIRIkPUH1zG95Zt1Ny0ei0pdNYvaUOm2oy7zMpoLamXKV7xarN2XNZ1mxroPqrQmK8FMYll1yCgw8+GOvXr8cxxxzjr8M1cuRI6wMUFkkWwEnXLQQAPPvjwzFuUDb6jvooRBog8iU1+EhO+MMyfLG9EXed/XUcP2Gg1jnsRzrlhpeo321pV+gIHPcCjF7Z9yz5DDc9vxJHju2Hv1xwkFZeJLYTPPvPb+Cddbvwm5PH49xDh2nVz7vuxKG9/G3kI+YmQpTckuerw6vz7pYUvvmHZZQAk3Zd/PSfK7Dw4y3+tk9+cxwqmFwD767fhaNuXsK9ZmsqjcNvXCQ8Nwo1u1txZPt1v7hhlvZ5OlFgWmHwsqUwQg7oX+3ajWNuXQogc08/fuQdvPDRZvzk6NH4ydFjhOcd/NsXAQBL/t80DNujyvi6UevONpeuBu34219GHSHgR+Gn/3wXz7y3MZayoiDyBWsjvoWPfn0sKsv0h01djRrrwyebrJ1216tYuTkrNOdC/7K5thlH35J9n2kBKE3n0mLemS11TdS3QFLf3Ibpv18MAPj8+uMLnj8o1Pq3Bx54IE455RR0797d3zZr1iwcdthhsVXMQvPa5/QMSWcwD7u+zhfbM9L5v977Svscndw8Ih8cUyc61bW83fe/sgYA8NInGUGAPEtsJsv+3ZZ28c66XQCAR99cp12/e5d+DiAjYPDKVa3tI4JX5Z2NLQHtjQvgy520dqV2d6uyfJLdrdkydza2GJ2rYgNRNxPhN64oMFnSubA+QB9vrKV+v/DRZgDAfcvWaJ3/7pdBLa8OUaPAAk7QGue0ptJc4SesH1kxCD8AXX9SSCYdtHc2mn1Huo+E1WLKzPWk8JPZb1SlUJBt0NKWZsL26Qp8sY3URtP7SK1QMeQeM9YApVIpPPDAA3jxxRexZcsWpBlV4UsvvSQ40xKFoAMo/2+SqHZa3ppvIiiTHKdCrak0Kkr58raxCUxxvDcgBgdMHVMJvxN0DBJ9NbUGzUn0DI9zVZkGyHOC5lSa5zvhuvKoDR0SjjxvUVy4rv4yKCLrAuXsr3HbbcxgQwnjIW9W+K1oFhd2IhzVcTdMFJhYexrf0jHZ+vDXnswFIm1alIFaRyh0XTfwDprk9cpHAAPpE9SSSlNmZPabqyzLaoubWtPoVkZqj3X64PxhLABddtlleOCBBzBr1iyMHz8+by9npybEC0yHwauPCROqaPJkVRFnrAaIxLRqyjD49gNkES6yTtwjrDmEF9JLaZ+4GiA1vPN4CeRc1401sVwuHehNssiKosCoBUF1TGBU5037phUqDN5EwCahfTFC+AAF7tdMg0ad6bow6zXUmAjIUSGbL8X4iXmYVkXvu2Z/q1eDN71GVFpkGiCmfqS5vL65jRGAsnRIDdC8efPwj3/8A8cff3wu6mPRxNwEZv6yJUJqgHj1yeQB4mM661bdSzY8mt6uEy5NO8RmP/rInbBKyyDTALX/zzuNp+lxEdQMmT79OJID6mDSCYqG6hSzuKmKoA9Qdl/c96pbWngNUPYKYZbCYAcvnSJEx+TiNUkbCMhxXMuDfEfIwd60H9B5vdmcOzqJEE2vERWpD5BE8G5obkPfHuX+b51JaD4x9gEqKyvD3nvvnYu6dF1CjK46JjB2hWFTTKqlGjDZKDAS0w9B1wQWXOco+7dOXeLKBQLQPj58+Ud8Ld8ExjUtBrelXTewPUqyySiJzlSnmigt9HyA1OWwmlFKiChQHqCwAjYVPh1HGLyOACTSAOVAF5FPMwk9+eH3Z7mYDLDfgLEJLPYaBWlhosDYpTtENaqXOMoXQ/i8sQD005/+FLfffnuHSJzWmQgVrUFJ2+bXNDKBqTRA0jxAhgKQ7qAqGDBl1yS3xpkTRukErXEp3jF8E1hwu3FnQ9Y3QjuoBkUz4YoZrP0osOw2nXeJToQY3VcOoL8Ves05vfLCuhKQ9x7KCZo1K+qYwETfTg6GhHyusUbeF6lNY98XGbz6KqNWOaZ6UX/K9/nLfRsFTWB8E2GmPtm/eQEaHjGtNhIJYxPYsmXLsGjRIvz73//Gfvvth9LSUmr/448/HlvlLFnYD0tLm0F9uOYfiZkJTD4Lb5NqgMzqpc4EzdcA6ThBi/xBYrSAhVgLTBwGr+sEbWxmJDNi57CDNRF+Re4qppmg2SgwsgomQgT5rjiClcRlpZHnm3xrJLLcNTqw74VOEcLJQ8jXpCyZEDrt53OeLWpLMjIwzPI4Kudw9hkENEDEvsbmYIBFvk1gLam0NMcceTsNjAao2ExgxgJQr169cMopp+SiLl2KNC3BmJ+v0elHXQzVZFaqSowlc4I2HZxV95IVgOjt9OxD3YmHGVBUdWL/zl5X3Qa6TtBpjhO0eRuHP9foOkYCB/O7/X9TXzeyM0+l2TD48PXx0P3WyFsPK2BH9gFiZ+866RgEn0VYbU1FabEIQNm/RT5AobKsK5zD2W+AFcrJa9a3cNIP5EFLxmqAWikfIPE7xJrA8jWx0sVYALr//vtzUY8uh6m6Ouj/QM4Q+GXRvg5GlwNg5pipWmZC5gRt7J+ikEu8+w5qzdQdGXkO5UcT0Qua6tBMNUC+D1BwH2/g4GmFTNuY0pblUFVt8hmwz9P3ATIcoOJaCiNq/i3yuESojGyM1qIIwuDD0K0sidomvq9IPrUEIj9G+u8Q5Sr2s+9cwAmauCarUQFyLyS6rhvoU8hIV7b+ZH3Y+kadlMdNyM/OEhXq4YcYXHUUSCmFUKLCpFp0CClHAEqlxTNmjU5FtIwG/1jvOOY6Lv9vUV3i1HxQ2idOsbJbkj0GnrDDC8M37bjjcoLmly3XFooIaoDcQBnmeYDYpTD0G0pkhtZtL7IdQofBR/QBCjMIycPgzZFlGc/nIElOTCgfIIm2QwfVLfBMSGlB381zKs51C2VM6vRVdhOaKFm6kQbGB4gK7+8oPkBf//rX8eKLL6J379444IADpKaR5cuXx1a5zoy5T4b4fFFJUaMXYvcBEmmqNDo5epCSH59NhMh+mDoaoCxhfICEg4BigAzbifFMYLxtUXyAwmZHBvidP7nNKBO0oJyomaDj1gBRTtCSJ0vllwmpYKS1FmF8gOjfemvSCbYbXz1DRYlYAMqnjoA2+/L9fsKEpCsDAXg+QJRjf/bvQvgA8UzqpHNzwI+MqFBAA2T4reYaLQHopJNOQnl5Jpb/5JNPzmV9ugyms2r2cNEMQXRMPjNB815smQ+QVqdrcHw2ESJThobWLKpTaVOrwJeBqoepCkj8HPQ1QOHft7hXSA+7Rl1AoG3/P50261RZHyCR74e6PsG6AIwTtKQ48riwTtCU/1IoHyAmX5RGEcIosJBycoUgUV6UMsOgkwcojvXWWHgChMhcz9cA5VaQSLvBfoZcKkfmxxc0gYmjxwqBlgB0zTXXcP+2hMc0Kkvk/8D+TRJ2LTCPsHmARNFKOjNmESaRPt6hwQFTY6AkNvNy7KgQ5b1QabDi1AA1twVniVEE7rg7KtOoLQ+RH5zpavDsdxF2oiA6j9YASc6PQQMUVnjzCLMWmI7/nAmyCKl8hsGLhP6omnRjE5gkCiyXPkCiibSLoAZoN6kBkpjA2P6QlKOKQAFkfYAKBfUhiV48yRuikygr6lIYJk7QqqghuQZIp3z9Wb5IA6STXp6KUggxQPE6KIAVEHn7xWXKLs3a5gGgmaOFimQCiyAA8e4rbHoGoRN0BBMYm6DTJMw5JfgGdb818riwPkBRtbzs66MVjSi4TtjXRCa35VNJkHL57zybOdwUYxOYK/Yva+BEgcWFzHrPaoBkJjDyfmVO0MUQBWYFoAKh8yLIOjSVyYk9P1QYvKBT5glGoqgFD9kgqtNxuxr3q9qvo3mgZtQhel9RB+UVJR48wnUGuiawKJmgo/gA8Qg7ow5qgIJl6Nwm6wTNOsfrCmWkeUaVBoJHHGuspUMKb6I6aGnQQkzYTOpA1yd/gyQdUcf3AcqFBigYiecKJ0wNXB+geNpIlt+JjTYlTWBBE17274ATdESBPW6sAFQg6A6Tf4xMSSRSkYquES4RIn87rySVhka+GKrGrFMhYImOpa5DHiOMZMn+TXaCuvNzXgdFXjvuLLraJjBjH6B4NEA8dIR3HgEBiBcFplEeKdClXTfQNrr3KzaBUZUUEodDaGQfoMB1dTRAgu1hNUCSE/OpJBCZwOhM0GE0QHLYZ8D6pcmcioH42kg8KVSYwDgCnIdMA1QMq0kY5wGyxIPIZ8Bj9ZY6/O21tdxz121vxHX/+sj/7bqZTv22hatw2N57YvKoPQLlpl1gR0ML/nfJZ/ivA4dg7349lHV0HAcPvLIGvSrLcPIBg6nrsVz/7MdwHAfLVm3FjoaWwP7WVFqoCv7tsx/jxtP3x36DqoV1MRk0RR8y+cFtb2jBq59tw5RRe/rbnlqxAX95ZY3/O5QGSGIC+98ln2FAdQV/P4Cm1hRuf3FVYJ/M/KarAbrp+ZX46Ywx1P3KIJu4prEVc//9MU7YfxDGD+Y/o/U7GvHga1/gO98Ygfe/rMHqrfVIOg4+2lgbONbEnEnVSVBHWXmfba3Ho2+ux0VTR2LP7plADta/gz3nxuc+wZFj+2HK3vK2EtWd1BjIzB8q08rST7fi8eVfYsKQXvjuN0Yo6xCLD5CiiDc+3467l3zG3acy9bzx+XYsXbUVg3tVAgC+fche3DrQ9cns+8+aHVjy6RZcdtQYlJWYz9tf+HATVm2pR1kygcG9u+H4CQP9fS+v2oq3vthJOaJT7wjHIfrzrfWY9+Z6fP/wkfRin5xr/3HRavSpLAtc1y+fo0Ehn+uuxlb84831+GxbPZav3Rk4X9R6/3xrPZrb0jjn0GGCI2hkmvOgCSzbz/322Y8xbI8q7DOgR6A+X2xrwPXPfoxvHbwXRuxZRd3rpQ8vx8zxA3H5MWO06pcLrABUINIC9bnHzNtfppxwycH7239+nUoc5sLFw/9ZhzsXrcadi1bjixtmAUAgW+dVj72LhR9vwV9eWYNVvz1eWcd1OxrxwKtfAIAvAImk9s21zfjxI+8Iy5JpgD78qhaz7ljm15uHyerk4jwl9O/fPbcST12aHeQum7eC2h9GACJVwyTvrN+FZ97bKDzPdV3ctWg17l7MH1xE6IbBv712J779pzekbUzXJ/v38x9uwoufbMG67Y24+5xJ3OPPve8NfLG9Ea9+th1b65qxpa5ZWHZ4J2hmsG7/X5YH6LS7X8WuxlZ8vLEWf/vuIcHj3eB78edla/DnZWuUbSWbMWfrLDtfrsW9/tmP8cmmOjy54iucsP9A9OsZFJ6j5q2SmS94nHnv6+KdhuceN34A+lSVSX1BvD1n/O9rAIDelWX43uEj5RficNHf3qZ+k8/23Pv+AwDYu193f5tIs+bV9aQ7X0Fdcxv1Xokgv2neO8W+s2nXDUyKr5r/nrB8XvO1tKXx/x7LnHPc+AG+8B8GF0Brm/g9Wbu9EcfettS/N/I7/aqmCfcu/RzNrSlce9J4ql0/3VyPHhXbil8AuuKKK7QLvOWWW0JXpiuhMk/JIpC+3Lmb+u26wKrN9YHjGplkVe+s26Usm2Q7oclJpV0kE05oNbcsE7QOrJ+G/FjxTAYA+vUox5a6ZjS18IUVD9oJWs8IJhKatkoEAo/3NtRwtztwhIInLxM0zwRmCvm06tq1WuzChiRfbG8EkBFmy5LyGXpoHyD2d3ubyBZD3dXYCgB47bPt/jb2GYU18Ymeia7LlMocQLY360vhl0FODEKYFGTmC1NMm7G+qQ19qsr8/m/84J74YAOtMWSf5xfbG0LXT8VXu7L9Kh0GT5hM2+vqfRM8jYwp7HNLSyaLPHg9K9lujc0poHvgEOk5VPlp03QVwW317a4BbDnJiBn2o6IlAL3zDj2zf/vtt5FKpbDPPvsAAD799FMkk0lMmsSfHVqC0Im21C+X7P1zXZdbBumPknbNBRDSV6I1lUYykQzdQfJMDSaoltogUUWpTB3TF4+9/aWyPmFMCuJEiKrzaLs6ieMEBxfXdeE4Dt8EJshFZAJ5Pe8auk62onWdPEwc2unzRBogdaI6OqqHXSctXHuJPludJKWZ8+WaIrIc3nPOnBdOmOTVAQifjiFzrvhsxwneo/c+eYPiiRMHcQQgppwQ0XK6TvzkYCzKVxPVcdf7bknY9y/lupEFDmq/5lMVug4g6Ccnv14Q7/1l++awS8DEhZYAtGjRIv/vW265BT169MBf//pX9O7dGwCwc+dOXHjhhTj88MNzU8tOSMpQdS07wkXwI29pS1MDUZjIFFIAaG5Lo6I0GbqDlC2FoVUv4lxV5yB0NG7/v6Tdu1u1VAg54Ot2u0Lzm6LlXLhC8xkQHABTaRclSUfgBB1dAKKcoNvfgzACIQ/TpSuydeL/Jqul85qzk4Uw+Z4y15VrGgG5sE5rrnj7sxt5z5k9Jg4TWFzfKIuDYB/mPQevDjzNIdt+Jqk5PETaswBE2aKlMKJGpbWmXJSVsAIQfQybB0gF70jydN2iZGu8RYnWBLLvb0ADFOaBxoix/HXzzTdj7ty5vvADAL1798Z1112Hm2++OdbKdWZMI1fkvgTBF5R1xnVdPfU2OTi0Mhog3bqKy42iXtfv6FVO0N5HR2sigseHW1tJdG35ea4rNjE5EPtq8AbvOExgPA1QXGGrYaOfgkdmtlCJBzXK4y09EAaRppHKBC05X7XEAtlOIq0aNTGIIQosigmMPZdsH16ma0+w8OpdzlkTjK2OSXZ6D1FgAkuC0gARApCBtl7VfDxNHt8JWl4Ofc3gwaHyFQmj+8w0UqJEuEDwXsNmQI8LYwGotrYWmzdvDmzfsmUL6urqYqlUV8A0H4LUUZBjAgtk4NR8gSnbMTEgey9w2P5R5gStg2vQ0atC3H0NkEIIDZMIMWxuFxdiExjAXzEa4A+MIm2BeY1AXSOucPgwC4dmzuP/NskEzftWROYl0/p46Gtb5WVRi3MKnmnYiDoPdgX5KE+YvTy12Cvn+/HayReAONFdERUuAPQFIFIbIVoKI+okgPeusc8t5bpGgij33VE42HPLERzpumb9GlcDJBCASjqaBuiUU07BhRdeiMceewxffvklvvzySzz22GP47ne/i1NPPdWorKVLl+KEE07AoEGD4DgOnnzySX9fa2sr/ud//gcTJkxAVVUVBg0ahPPOOw9fffWVtMwHHngAjuME/jU1NZneak4x1QDJXkAXQf8MVpug6wNE1os0yXiDatgOKaoTtEleGpUTdEm7ql0lhIYx+ejkIOLud8UmMMcRmypyZQIjL+ebwGJavpky/Rj5FvAHa5lGiTWrcJ9zWA2QhglMhsoEq6cBijY4y5YxMIU9V5XpujVNa5V54e1sW4ZRGPBMYF57k+1OjsUiH6CoJjCdhYrZ5Jwq+E7QxlWTas7NfICCx/omMKacDmcCu+eeezBr1iycc845GDZsGIYNG4azzz4bM2fOxF133WVUVkNDAyZOnIg777wzsK+xsRHLly/H1VdfjeXLl+Pxxx/Hp59+ihNPPFFZbs+ePbFx40bqX0UFP/9KoTBdYE86U3aDphBWA5RO63Vu5HV28zRAIcWYOH2AVE6NaVeuFvZmHbTpJFhOmAE/bJZcmQbIcZzAPXv3opsHyBSyur4TdEQfIK8N4lsLLPO/LKdWRSndxfG+tbCZrnUysMseu8pZmtTOiLRUUX2Agpmgwz9jtm8gPx+e4MKawHg+QGx9wphMeBog75pkv0mWLfIBipoUnSfIBgQgUx8gzqEmQSP+dSWTt6g+QCIXikKbwIzzAFVWVuKuu+7CTTfdhM8++wyu62LvvfdGVVWV8cVnzpyJmTNncvdVV1djwYIF1LY//OEPOPjgg7Fu3TrstddewnIdx8GAAQO069Hc3Izm5myYcm1tMHlb3JjO3FTp4lU+QGlNtSp5HfJj9QbVsBrgNsOPOlAvZtBMp10kJLMHfqeQ+T/JcYLm1Y0cLHWjT4TmN9WJrjiHEFsXgDCBaWaCNoUczOLyAXJdL6It3KAtWtxWZgKrKi+hcmbFqwESbNc1gSneP0oDJDSB8Y/XJaABMi6BX5fMb+L74Xw+7HvF9QFifocZLnkLFKdcFyWg+zhSG5FShMGHRUcDlNKcrHrwDlX5N/KQaTSjRqVlTWD09g6nAfLwNCtjxoxBVVVVXtJa19TUwHEc9OrVS3pcfX09hg0bhiFDhuCb3/xmIIyfZe7cuaiurvb/DR06NMZa81FlgmaRddKuG5whegJQVVkycL0w1/FmSlHC4KNpgJhOQlEYbz/rA5SmOgnOABTKBMbfrrp31ZXETtA5CoMnihCpr43L5GiAjHwd2N8uXS77NwB0K6MHVb4GKNx9iequK1DR0UXB/VQUmKCOZN8RLgqM/h2nEzT5DfJm+qxfCN8HiC4zlAlMsnwE6VslygRtpq2X7+cFLQSXwjD7flU+QLpirejRp13DiQrnel4iRfbeZJPYfGAsAG3fvh1HHXUUxowZg+OPPx4bN2ay237ve9/DT3/609gr6NHU1ISf/exn+Pa3v42ePXsKjxs7diweeOABPP3003jkkUdQUVGBww47DKtWBZcY8Jg9ezZqamr8f+vXr8/FLVBQHZdGpyNNF8/J0+DZvXtUlGaupzsLEApAngksHBkfoCidK/1bHQnGEYDar59sTz7BLhXCQnV2mt9pWCFBNfCwHa93PG9gVOXh0aoPZzX41og+QN4tUCkgIswsuSYw5qCqMlrJzTN3hb0v0aMOE3CgiuQROUFHXe+PHZDi1ACRUUW8z6eVCY3m+QCxzRK/CYxYtoTSTBI+QKQJLOJEn+sEzTrlGz5HlQ9QVA2Q60Y3yYm0yB3OCfryyy9HaWkp1q1bh8rKSn/7mWeeieeeey7Wynm0trbirLPOQjqdVvoZHXrooTjnnHMwceJEHH744fjHP/6BMWPG4A9/+IPwnPLycvTs2ZP6l2vojkt9vOwFdN3gAOl99D0qSvzzdV5h0QfuO0GHHAPbUulIvStbLVXkDq9NvSYqSXoaIPkAFCYPUGgnaMX+YPK+dgGIZwKLQQPE8wEKoxGjyvTC1kP7ADFCoIYJjNQAtbSl/WMTDhENGDYPkKDyuoKIyleI1gDlyAQWowaIfYspJ2iJBsj7zHgaoEBTxuQE7b2DpL8cKXhQPkCG2noZPP889rkZ+6RxqkSvJh9NA+QaaoB412v2hV16e4fIBE3ywgsv4Pnnn8eQIUOo7aNHj8batfzFO6PQ2tqKM844A2vWrMFLL71kLJwkEgkcdNBBUg1QIaDVquoXXvYCpt3gR1PPCECptKslgIiu0+JrgMJ1ANGXwmDVxPLSeIMB6wStCp8Olwco3F3Kzkung6HbUhOYxAdId4CjBaDMj6hh8L7JKuSAwh7J0wCx99eN8CtpbGnz78GLBASnbXXRcYKWQUWBsRFuLh0JJBL46bbUuix9PitUxjhJUX0LvmDdfhxfAKLLCJMJmqcB8tqKbFfKoVzgA5SLMHi2TFOTLO9oSjAO4ZNGlW8oAPGOFGeC7mAaoIaGBkrz47Ft2zaUl4dfcI2HJ/ysWrUKCxcuxB577GFchuu6WLFiBQYODK7CW0hY84tyeQdif9BxLNiJex99z26eCUxPABF1oi0RnaDj9gEKEwrPOkHTjoLB4+P0AVLdvGy3C14YvEQDJIkCi6IOj8sHKHQiRJf/my6PPob8Vuqb2/x7KEk4fthz3HmAdO9JJrywbS12gjabSLHkMhO0KkFlS1uaCrEuS+okQjSvF88JmpdHi5xEivx+8hEGbyqQq8ynulWWvc9G3z7n0BZG2PUotAbIWACaOnUqHnzwQf+34zhIp9O46aabMH36dKOy6uvrsWLFCqxYsQIAsGbNGqxYsQLr1q1DW1sbTj/9dLz11lv4+9//jlQqhU2bNmHTpk1oacku0nneeedh9uzZ/u9rr70Wzz//PD7//HOsWLEC3/3ud7FixQpcfPHFpreaU0xXYSZnBawAlHGCFghAng+QthM0vxPNJkIMrwGKFgVG/w6TDNGrO28pDN7xcQwo/rUV5zVJIsB4Jk65Bkhcb20NEGdbWEHBw6tzmNlp5jxmsOZkgg5qNLK/G5pTfjsmE47f+YZ1gtZZd0yGLGM0O1CITGDBle3N7iXOKLBAGLxL7gvSkqK1XOWlOmHw5vXi+gC1l0uuck6/l3wfoHxkgjbtd3jXJDdF1gAhaLqS1ofrBM33ASq0BsjYBHbTTTdh2rRpeOutt9DS0oKrrroKH374IXbs2IFXXnnFqKy33nqLEpq8VefPP/98zJkzB08//TQA4Gtf+xp13qJFizBt2jQAwLp165AgVlTbtWsXLrroImzatAnV1dU44IADsHTpUhx88MGmt5pTeCadJMc04+8nNUCM1JyR0JkoMN8J2vMBAhIa3ZvoI4jsBJ1Kx5YIkayPCF4beluSnESIKhOY7kRFNACphL+6JnG2WheuUR4gWSZo3WfATcwXkwZIJrCYwNMAue1CgOdzQla5oaUNCSfzPZQkHHhjn2hQU6VaiGoCk7UDOwaSAzVJ0OwEJA3GlDjzAAW0WAotRCvhkwXwTWAsoUxgEh8gSgMkWPIi35mgYzGBhfjGRLeWdl2/vJKEo9a+c7qfVibnk0ehnaCNBaBx48bhvffew913341kMomGhgaceuqpuPTSS43NTNOmTZPOWHRmM4sXL6Z+33rrrbj11luN6lEIAgvgEfeqihQIaIAgc4LOaIBSbnAVYp16eWRNYOE1QFEcLE01QLyPNJgIMbhPdA3djlfUfqpJnVxrI84DxDtP5gMUpTOUdXwJzor1LJ4DfWyJEL0yAt9SVgggT2lobvN9gkqSCaTbKySacadcFwnJc5cNGDrIMkEHNUD8ZxoMoXaNcqsEowu1Tw0QTIToCvcBGeGDbKsSjUSIcYXBe4+cnCxQ63/lKA8Q1wma2WRuApNv0//mRUJ21gRWmkygLS3PM8bX9tHmTo8OmQdowIABuPbaa/Gvf/0Lzz77LK677rqi87EpdthO94Q/LPM/Rm62UBf4atduHHnz4oBN23WDswbWCdp19XxwxE7Q7dtDfv8vr9qGC+5/U3ncjc99gpm3vxxczJW5sKqT4GlBvCb3PrqWVBpH3LQIiz7Zwv34TWZiV/xjBb517+vCwTRaht3gc5l64yK8/2UNV1iWrW6uU427F3+G0+5+NbBdJnTqCNdTb1qE977cRZVzyd+X4y/L1kjPe+6DjTjipkV4b0MNtf2jr2pxxE2LsGHXbmr7KXe9gl888T4AWrC45O/LccY9rwGgfYBE75JKyBYJ9CIheHNtE468eTHua79fWRQY63/2x0Wf4fpnP/Z/37PkMxx9yxJsrWumjqOEy7SLc+97Az9+5B3hPbAD+kOvr8WRv1+ML3c2YndLCt/8w8vUdWV4l3bdzHV/+PBy4f0BQQ0Qzx/kxDtfwdPvZpc/8o74YlsDpv9+Meb9Zx0A4JYXVuK425airqk1UIbUBCbw+xFl2L55wae4fWH4gJrL5q3AI+11zpZPvzDGAhA3DD677bS7X8NtCz+VlrFs1TYcdfMSfvlutg1KNNSLou+iNRV0gyh0JmhjAWjEiBG4+uqrsXLlylzUp8vAvgirttTj5VVbAYgGbxc3PvcJPt/aENjnIhgF5s00vESIuh+VaKCO6gSty12LP8PHG2sDnUTAJKAwgfF8aryqk2rXtdsbceEDb3I76CZCk6L6Th9fvgGvfb4d731Zw90fSXXOmTmlXeDih942XvhURwD63XOfcLfLtHg6E7ma3a34wd/eDtTh1//6SHrexQ8tx9rtjfi/d+l1AH/+xPtYu70xcPx7X9bg729k3h/yfa5rakNd+2CYcBxfEBaFHatzTQm2C3a8vXYnPt/agGfe+ypQt4CGk9PO9y793P/7hn9/gtVb6lGzmx7wye/88231eHnVNjz97lfCe2Gvs2z1Nny+rQHXP/sxnn53Az7YUEtdl2TsgB7Ub6+otdsb8fKqbXiX+BZ4r01LKk0nS0wAEwZXo0dFCfbsng2oIQU4T9C++qkPsGZbA372eEbQveOl1fhkUx0efoPuNwCgiZMWwntG5PdD1pF2jqYrf6tCmFAxu73OHsEosOy1B/RUL+HEa1u2H79NIbSdc98bwn1pl8jVxNHS8Y7n0ZJKczRAyuJyivHlf/SjH+G5557Dvvvui0mTJuG2227zkyFa9OH1ud7MXeQox/uQgYzELUqUV1aSbP+tp4UQdZRR1wIzpZbp2Nm6i3wiPNhlJTIasMw5PLUrr20am82XlNAdaExwBefvbk0ZC6RRn5/o/nRncrtbU5GTyZkgulRJ0vEH07DPTHSeSqOU9Ycg6snm0AkpMNOai+x2nbXESFra0so15Yb0rsQnvzkOg6ozg7R3D9yEhiITGHH9kkQCT156GN765dGoLAtGhAHZiQgr+JH1ZpGZw0XtIgqPVxHmqbEKW6++jgMs/OkRIUqM5sweLCvrA8R7tgA7QRSMIW3pwDdVaCdoYwHoiiuuwJtvvolPPvkE3/zmN3H33Xdjr732wowZM6joMIscmS2ZN7irlsIQRQmRL6yOFki4FEaeNEAeQQGG3q/KdtzIOD5mImQyf5ckNBKugR8+y4POIMtvoCi+A55jL0uYRTyjPj/R+2Giyo4aSqyLLINt0slGgYlMhqpnJjSBKZyjs1lxCd8S5hThukxKB9TsfvKR6KwmT+MotYXJBFBRmgw4nPMmGHwTGD1xSziZc8tLkkKNoueLp7M2mgdvaQnvOFG7kAKQaWZmU9hnmk3W6aBUw+TET/kRX53T6ew7LTKBlRJ9qujSral0wLRbaCfo0AqoMWPG4Nprr8XKlSvx8ssvY+vWrbjwwgvjrFunhtdJ+tl9OQ6P0kzQkigh8gPSWnRVZAKLGAZvSlCAoa+rMv2wK6un0tnBkNdB89qmoSUrAMnGd7JqosGPFRx0Oja/fLhcJ+owCfyiPj+xBki/jKiOpLq0psR+b4kEYQITOUGHNIGlFNqW7Npq2X0BJ2hB4Y2SdAmAOMeS6HsR+bk5jjj3lIcn9Hpjn7ef14fwtrWkUv67kHBoPzKRQO29ZyYCHe87kWVSZ7ebrs1lCs+RHWhvE43gC74JLJaqtZdFO0HzIOeUoks3czRAhc4DZBwFRvKf//wHDz/8MB599FHU1NTg9NNPj6tenR7eR+kNuC0cDVAq7cJNimaF4rxCOjZb9jo8sgKQUXGhYQWYgAlMof1gNUhpQhvAm3XwBAOe8yQP1vGUB9uupckEWgWRPcG66XfsyrKMz2CuKRgwTTRAMSxVpkVrKi18X5OO4wu1Ig1QmPXmAIkJzPUmOMGkcAEnaEEZDc1t6F4u7rbJ9498VsJM0oJ7cDj72Cp55gtvkPb286rO29ball1lPDApEWmAFMkrdYMZvO9d9OzJ7WHzROkSXA0+89txHK2JhcoJOg58AYijPQdorboslUqHzwT96aef4pprrsHo0aNx2GGH4aOPPsINN9yAzZs349FHH81FHTslvIHSG3B1ckWQuHADalrvAxdJ7Cb1ArJmuXwJQKT2BQgO3EoBiCNAeWXw1LjcDpro+GQzMfJclfnDw0T16wrqF8ZPJOxabh4ibYlJTfJlAmtlwqxJKA2QSGOjqKdKWxo4ntE6yHK1iJ6tyixL1pn04RFpOmQ+XSqhzBN6s7Kv10foPd/WVJoy9/DKZvG0RDqZsUX1BvhRYCQtIX2AwiASgFitmAiuBijGSQalASrh14fsU8UmMLfja4DGjh2LAw88EJdeeinOOussDBgwIBf16vRwTS7tnRs3DD7tCgdh1w124r62I5mZ6eqOOcLFUNu1FflygmZNYGynqjKBsaYCtQ9Q+PvS0QCx5YucCXmIfIBCCUA5coI2yV6bLwGopU2cfDMTBq9wglb6APG3ixz02UFXGgYvKFzlmC/S+gidoAX34Dg8DRA7eGX+99rR2637eJtTaX+gZicEqmFR6LfF2cx7N3l5gEjI7SY+QGFMzFnzkpMREgihUEc84F0xzm+M1ECLJtTk8xNdObMYMb2t0BogIwEolUrhnnvuwemnn44+ffrkqk5dAt4LWt/eubVqRjJ48DQE3geecByUJBxpbhid63idei4nQ2TnwYaxs9dV+STtZjRImbXIBOp2qDuMqD5A7GBqYpp04cbW7rlygjYxE+RNAFJogLJrgQkGU4VMp8qa7uFlpg5GgYk1QCJBWqUBEiVU5ZnVZdfJlEUfF8jh4pvA6ON1n29rW9oXTtiBUOwD5Pjn8uusN1HgZYKm6kZpgHJrs82a5jNmca9NSDOtjFx/Tjo+QCWUE7RYM8q2ZYdKhJhMJvHjH/8YNTX8XCcWfWQaoGZBJmjR7F22GB6Z70QHUYeYDydosk0CTtBMvVR5iXgaJO9Yngksym2RQo9IEAiYwExMk260MHqSqMKHyJ/CxB8pXz5AmcU2+fuSDtQaIEVbqVJGsMcFnKBlPkCCazc0t0mFFrJOpBZDNNCLnhurAUq5wVxUrAks6wQtrB4FKaCyfZRo4Pe28/pIgN9/8QRcEydoE+E+zNdFLtALZNvP0TSB8a4a5yQj7dJaKh7k8xNdmqcB6nBRYBMmTMDnn/MTY1n0kTlB82Y3ss6Y3UWG/yYcvslHhMoJOpcaILJNgj489LFepyb60E2jwOIygYmKCTpBm4WNxyV4Ro3A4poTDIvMVyRhJgqMf60k4QPUKowCk0tqovtmB1zv281GeQaXBQhkOhcMug0tbcL6ZurE1wAJnYaZwdcjs8g1Ldiz95v0BSDWCVpTA5TKDoisL4ho4Pe2ip2gg9tkGiBROW3pbO4bowV7Q3xfbJZlViumkhFyHQUGqDVA9NHiiUGHzwT929/+FldeeSX+9a9/YePGjaitraX+WfSQO0FzPliZDxD7281+AImEo5W+3L+OSK3vC2W5G7zIawc0OMx1s6vT88sKRoFlj+WplqN0GKRjsdAExmw3cU4XRYGFIaomiTcYmK5enWunUo9Mh8vfl3A0EiEqbkuc8p/xx2v/ST5DcoDN7KPLED3vhuaU1JxNXrqF9AcSOUGLNDCgv/S2NC+Cp/1/TwNk6gTdRvi7BExg/HNYfyMW3na+0C4XgICsYGzkA6R9ZJasAJRpUC9XToIRMIXX5ApAMWuAFD5AOpNA0undo9AmMGMn6OOOOw4AcOKJJ1IPxrdza4b2dnV4A1FDuw8QLw+QbOAKhsCTGiDHSM0oXAw1D2HwtAksuN4ZVR/F4qy8PEJex+y0mz/INo0yKGs5QTPtaiQAcc4PS/TVrDkCkGGYcJ7kHzS3pYWz0ZKk46fh1zVbsog1QIwJzNcAZbe1MDlRAiYwQeENzW3SAABysCePU5mMSpMJKmqM9Fny6iOavXsTs1BO0L7/i5kJjIQUuPR9gDL/y9qypS2N8pKkkQ+Qzr2zq977woWfl8rru+H/LxtVee94nFpW1832PyLfxZREmPdg33mggzlBA8CiRYtyUY8uB2+g9BwcuZmgU2IfIPYjJrUdXnZVXUSz+dY8mMDIS/Py+JCoMkHzzvdKSLRnAU6BHIDkNyabhbEzex5suxolQoxRAxRVkOJrgEwFoNy8ROyK9K1ElFHw2GwUmGmOHNV+9t1M+U7PtElK6gQtKLu+uU2qtSDvlzKBKTRAPC0xtTq6TADyfYC8ugurR5Fxgqa1HWzZPESZkzPXpve5riv3AZII7955cTv4d2OW+fDNkJ4GKO1N1EgBU1xurk1gadclNED850JeT+oEzbRlhwuDP+KII3JRjy4HXwMkcYKWfFhsh5uJGsp+RCY+QKrFUHMZBk+2CdtpBaLAFBogmQ8QEJxJRukwyHOFS2Ewm800QOKMxqZENYHxBGRTrVKuTGAlyQTt+CsJg08SYfBhV4MXJkIU+gBlt7UwK6EHM0HzrynSAPkh1EQ5Ok7QrAOuR8JRr4flTay8gdrrG3QFXHJxTJ4JjkfadQMpLsh7UyVvZI+TaYC8+zcR8HVuvVspLQD5Qmh7G3i//SZR+QCFrIcuZBSYKHiDfH9Fl+ZpgDqcEzQAvPzyyzjnnHMwZcoUbNiwAQDwt7/9DcuWLYu1cp0ZrhN0s8QJWuID1NwWXDeLcoI20DaITWDtnVsOI3hkviSiTNCiD51nQstqxYKRcVG0Ei4luOk1UMF8gCI+QB0foCrBQpYeudIAlTLPtLXd2ZhHkngHZI6wMmS+DiR+FBgpnKTkJjDRt9DQ0sYVZkoZ7QFbD9ViqDwBpIU5n3323iQidBi8NApMnPOMzdBOaszZRyZqR2+z7HvNLlkSrwaIzQHGOkGzPkDhnKDj+8bI+9fxARJJQK0pl+NH1sEEoPnz5+PYY49Ft27dsHz5cjQ3NwMA6urqcP3118dewc4K1wm6XWvBzwQtLquZWSU+7WbXjoorDL41Dxogtq+iZhUCAUioAWoNDkJZx/Cgil2ZB0iyj2wy3dmi6Ycfl9Ikagi6jg9QdbdSaRkmnbNuVI3DMfWqMkF7h4u1duE0QEHtpTd5oDWcUifo9ufE+otknKDFAlCaEbL864mSM/oaIPo6juMENEDBRIjtAzSzFpju421tIzNB0/tEn4eLoABE3qfummo6TtAtvgZIfAwrqOncusjfy3sGWQ0Q7WMlLC/HYfBtlACkNoHJ8mMFMkGHXo00Howvf9111+Gee+7Bn/70J5SWZju6KVOmYPny5bFWrrNRs7sVSz7ditc/34531u0K7G9oboPrutx9slkIOyNMUxoguRP0ltomLPl0K2oaW/HBhhq8vma78BqfbKrN6bo4H2+kowhJPx6xE7SgrK/osj7ZVJt1gkZwjR2d/mJLXRO21DZlrpt28fbanVixfhfVQepqgAyUcpmQ6dg0QNHK4S4rwGzrqRKAOE30yaZarrCj8vXySHIE/WZJHiAyE7Tonf7oq1rsbknhldXb8NnWemys2Y1t9c1wXRefbKoV55DhaIA21uzGlromf1tDcxs+3ljn/2YHMVF01vqdjXjts+A36g1MojxApFl9d0sKq7fUA8j2E6yWeFdjC9Zub6TK+pD5pnwTGOMErTv4flXThLqmjDDDE8B4ZDRAEhMYGZGZdvH+l/ycdal05hmyvoJUuZ4GSNLnsQKXjvNxa3tfWt/chjXbGvxJSakfBt/edzNRduJK0GWv3FSn1NTvaGjBhl27AQCrt9RJjyW/D5kGyHuvRC2ws7EFn22tp7YVOgze2Ado5cqVmDp1amB7z549sWvXrjjq1GlZvaUe5//lP8L9bWkXCz/eguc+3BTYJxu4uBogIuJJ5APUlkrj6FuWoLZJvejn6i31OO62lzFizyrlsWG58IE3qd/1zW2oLMu8ogEfIO+jFDQLOwhd/FBWOOdpC9hOu0d5CeqImWZbOo2Df/siAODT62biiXe+xP/Mfx8AcNVx+/jH6QpAJh++i/iiOqIKQLzZMKv16l1ZJq8D516Ou+1lXDJtFK46biy1Xbs9CYEme25Qa8E7XjTDv+bpD3HN0x8Gtl974n7c7f51GcGoZncrZt7+MrXtB3972x+AAJ4GKLMhM+BkB+l31u3iTpCUJjCiTif/8RWs3FyHRy86VOgDtGjlVur3fcvWYN6b66ltDusE7YfBB6on5OKH3gagHwafdt1ANmzy3sjnPffZj/HnZWu45dz+4iqsWL9LWjev/UzC4HUO3VjThONuy74PYwf0ABB0gtYNgyfv+ZK/L8eCjzZj1v4DA8d5kdoA8PXfLAAA3H7W13DZvBXS8slllkQCkOsCp979Kj7eWIuTvjaIe8xtC1cFthU6DN5YAzRw4ECsXr06sH3ZsmUYOXJkLJXqrPCe9SXTRuGosf38359u5kvjsoGL3eemsx9iUpIHqKElpSX8kKzZ1mB0fBRIwS4QBaZwgpZBRgBly6ePYe30Oxpa/b93t6Swfkd28PJm04B+xIjJh58JQ41JAIooSPE1QNnndNTYfpg5Qb4+oOiZ3bX4s8A21ZpvHknHCQyiUidoQmNk2rR3vBjsyElYgWrdjsbAMaTwA4hNN8P3rMIFU4bjwsOG48ix/dC3Rzn3mpXtflc6maBXtvcxjy/foJ3gbiWnX/JO8RMhcvIdeYO7iKwPEr1dZvZhfR5pJ+jsdpHwA0Ap/AD8NdtUhJmofLIp07be+xgQgJjjrzt5PH1N4u8FH20GADzz3sbAdXj3cfWTHyjrR05wyoixZHS/7v7zTbuur8F/asVXyjI9OpwT9A9+8ANcdtlleOONN+A4Dr766iv8/e9/x5VXXolLLrkkF3XsNLCD7hkHDsFVx43Fn88/0N/mzW72HdiTOpY3cN1zziQAwQ43EzWU/Yh4g20mPDSHHs0x0Cqx7ftO0JLzvza0F/bsHhwwkongYMkKGGybUWuTOfTzqGsiNUV6HaBpFFh8PkDRCuL5AHnb9uxejvsuOAiDe3WTlmEizOmuYZdMOAInaPHxYbXvqvW42NBqnUEx6ASd1czMOXE/XHPCfvjLBQfhginDA+eWJRN+aLUokpIXWNHUlhI6QbPUNLYGtrEDtHc17/EO26MST/3wMG55vSppM2kwEzS/HrywdnKiFGf+Gy8vErvQtAzZq33wCPn6max/je9kTmz+8VGjMWlYb+o43Vvm1U1nAkyOL2S/Vd2tFH86LzN2he1XOpwJ7KqrrkJNTQ2mT5+OpqYmTJ06FeXl5bjyyivxwx/+MBd17DSIcl04juOHsTa2d67dSukBkrcWmPfBBNTnbnZbZimM4EuWdvXNC4WC7OjYe1Q5QQNAVXmS62SXcILaOLYcts3IsPp0ml7GoK4pODioMNYAxdSxRy1H5gPkvY+qezPpK7V9qhIOksmgACQ0gRkGB5A0K7RS7ICpc7+iPECsYNC9PNhlV5Un/eNI4ZKN4mJpbk0HQrBF1OwWC0B+JmjfCTo7+RJpcrqXl2AXIVTpLobK67dIjVBcvnIAf9FaGSrhS5X7i3VV4JnAHAS/L907Dvvtk/0wGQafIJaTCdvshTaBGQtAQGY5jF/84hf46KOPkE6nMW7cOHTv3j3uunU6WFcc8sUuS2ZWAvZWhK/g5IrQTSNO+wDx8wCl0q62eaFQtAhs++Q+qQBUVsLtSL1EiCRsH8cOpmRYfZp5FiqNAA8T1W/GB8is/IrSBJpag883qhO7zAfIex9leadc12yQUgkbHslE8D2XOUEnOZGAcSEKg5fBHpFdIoLeXsURgCrLSnwBQscJ2qOpLeWbrZQaIIkAFFwLDO3bxZqcHhWlALJmQH0NUNAs2tTKN4FFxdOayXyAZKkMWFRaX1ZAIjNBZ7fxAjj0bjqsAOT1GRnfyez2JOFKELbsDhcG71FZWYkDDzwQY8eOxcKFC/Hxxx/HWa9OCdvhki9TabvPSYOvAWIEoFRwxW3RQJMJg/dmYfw8QOkOYAKjw1sF+yTfXfdygQCUcAKOhUENEN22ZLQIK4zWGfpRAbnXALHvj0cuNECexsMT6lR5p8xMYPrvqEkYfDKRyKEAxNfmyBBqgJh74uVY6l5e4gsQYifoYB0oDZBicOaZdr1TslV0qbo7EKeP6FlBC3LsfYqejQs3EOBAaoDiDP9u0fABkmWhZlElpNXSADnBttG9Y6+upv6E3qSHjJwEMt+599hMs8F7FDoTtLEAdMYZZ+DOO+8EAOzevRsHHXQQzjjjDOy///6YP39+7BXsTMjSvXtrrHgrwkfRALmUCYyv6k+7rvbsulDoaYDE51eWJwMzaIAfMs3OooKDKT3TI+sTRgBSDTg05j5AIgEochQYLw9QQAMk7tQcx2yQ0tVSuq4buK7cByh3OUiCS9OY+wCxjrAePA1QVXkyqwEi8wBRTtDBcG/SB8hkaRYPeqmG7LfoEn2PKIKpojRJXTOYCJF/TZUGKA4fIDJBpsvpd0mobN6KclVtzGqdeYkQExwBSFcC0k1Uya731UYkZiSvLXu+unQ4J+ilS5fi8MMPBwA88cQTSKfT2LVrF+644w5cd911sVewMxFM9pXd4KlHPXNKQABKBzU2sk5ClQcoY0uPUV+cA1olGqCsE7RYcKkiZsYkfB8g+rfsw0zF4ANkZAJTaIB47wH7/nhEXwpD5gOUeYdV2i0TxaOuBshFUPPU0ibPBJ0rDRBrJtQR4kRRYOx7wheASrLLKBhogEi/tqTBcjnZczwv3cx/ri8AkQMm/9yEQ9+LfiboYD9IBijEkam+ol0b39wWzH7Nknaz96vUAKlMYKwWzD+c1ABxJm+aEpCn+VH1AWwErPc+JxP0tZMJ8fPVpcOZwGpqatCnT8ab/bnnnsNpp52GyspKzJo1C6tWycNDuzrsR03+9F66xnYfoG5ljBM0ZyYidhQkVoNP8FWvPIGq2CDrF1wKw+t06HPIAaM74RtBkuBEgelq17xj6YHGXKgwys7tBlPIk7DZggGxABQ1nJ63lIaJDxBgNkvXTYTousFBPJMHiH887x2IC/Z9kC246cHWUxSdxXWCLishQvoJDVCKLwx5NBB+bezgq0OS0VBk1wLL/M74APHLTTgOqspKqN/0fv41XfCcoMX9RBi8b6c1ldYy7bCaLxGqNmYFJHaxWX97QHutrCIAMiO5/DhWU+W9z0lGoOWlEzGl0E7QxgLQ0KFD8dprr6GhoQHPPfccZsyYAQDYuXMnKioqYq9gZ0KmASpjNUAlQQ0Q+zGK3r2MAJS9BqtaBTIDoc7MtJDvJ20Cy/zvfZy+CYxpE1J9WyXwAeLN/tlOVaahcd3opiTz1eDF+8tLgsIOu+K0R1hbvex81gdI1qmZOkGbmMDYAaa5LS2cHedSA8SGnOtpgOjf7HIIHpWc50q+5/SCq1nNCM8JmtYAhTGBtf/PmMDSgrrT5zqoKs/ei+5iqHwTGOkD5B0X/j33JhTkavUyvL5AdUmVb1wwDJ5nAguXxR7IvlOmmirfBMZMGuIIJCh0GLyxAPSTn/wEZ599NoYMGYJBgwZh2rRpADKmsQkTJsRdv06FbJZTWpL54c3K2AGMF/4p6yRINTTfBBZ0JuRh5qsSL7xVnr3BXqS9Ki0hBaCkwAQWjAJjO1WZdiDlRl+awsTk4ELeafE1QAIH+Tz4AKmEO7MweL2DXfD8ttLCayWTjtFyJCaw35WOpjXgBG2gAepensxqgASaSV4eoEZCADJZMNnDuya7FhiZhZ78n0RlApNpt1mNGk8DJFviQkV5uwaoJZWWLoPBXjOqCSzYBpn/HcoEFnQc1jeBZf5XmsBYAUjkBJ1IwIk4PBRaA2QcBn/JJZfg4IMPxvr163HMMccg0f72jxw50voAKZA5QXv+E42CMHggOEjraYD4L1nKdbmdIktpwkGL8qjcQN1v+/1UlCZQ35zt9NhOhxx8q8pL+J1vIijgmGiAVCYpHUx9gGQz2nKOsMNqED1y6QNUouED5Di5iQJz3eAgLnWCzqUGiBWAIvgAse8pNwye0ACRz0eUCdqDEoBC+ACxi3X6PkCB/UE/3YTjUMKcdhg85Bogr93CpKbw8DVAKVe6EKqH1+aqt1ppAhNEgbFO0IEFWA1NYK7iloI+QNl3kXxO7O8wFDoKLFQeoAMPPBAHHnggXNf11xeZNWtW3HXrdKjyAAHZjkpPABLNkshZmINSTufmunr+FaUlCaAl/GwqCnQiRL4GiP34SxkTGG8w5qmR2VmlbEBIp11E9R83CoNXRIHxTGA8oQiIYzFUsQ+QHwavGExzFQXGatWkTtA59AFim1jnO2Nr6b1frKDMDk5Apu/wnaCJ+6WcoBV1CKMB8trP64aya4F52me073cCH2oiQZvz9J2g9XyA2AVTTfA1QIYmsMhO0II8QHQiRJ4TtB5ePVWTILYenombXW4m6UQ3YRVaAxRKgXXfffdh/PjxqKioQEVFBcaPH48///nPcdet0yHLA8R2bLww5oAAJLhO2nWJUNRgeCWg7wQdZmYYF7QTdOb/7OyMrwEi1bfdBRogNpqBvRYgHxDSLl8QMMEo7Ng1N4HJVm2OgswHyGtT3vtGYiKE6TpBA8EZtioTdL76Xp17YOvpvV86M+SykgTXBEZlgm5zA/tJwszE2QHaXwssTW/ntXPGB4hwghaYf1hcBPstMg+QZ6JtiKAB8qLAWnSdoDV9gFSJEHWcoDN5gOjzdD9p7zhVH8DW03eCZqK+MvnU9K4totACkLEG6Oqrr8att96KH/3oR5g8eTIA4LXXXsPll1+OL774wprBJOiYwDx4Phxs3h7RLIkcYKQ+QDomsFw5SmjAywNEzs4y2+lzSMGlsizJ9VnhRaewbWESBRYGUx8g2axNpBXgETkTtMQHyHvPZKp+06SO2hogBJ9Zs2wxVI4QnCtCOUG3n6KjpSpLJrQzQfPeI15yPR08ock70ys5zWqAOEawZMAExtRJML1T5QHyTFZRBCCvj2lt0/MB8to06lIYgTB4rgDE01zqfU++E7Si72LHIq9NEwn6G4vDjFxAF1MAITRAd999N/70pz9h7ty5OPHEE3HiiSdi7ty5uPfee3HPPfcYlbV06VKccMIJGDRoEBzHwZNPPkntd10Xc+bMwaBBg9CtWzdMmzYNH374obLc+fPnY9y4cSgvL8e4cePwxBNPGNUrV7DvLc8E5sHTALECkKhvJAcpYSLEtF54rsminXFDZ4L2TGBZ+3z7HuqcUkYDxBNUkk7QAdbUByhqBgEzHyBXOsvjaoA424DcaIBMfIAyddC/nq4PUNp1uT5AQo1HInc+QCx6TtDs7/ZZt0YdSwmHbvL50nmAMn/zBNiShMNNGKpCtBYYGYEKgKuqDjpBM9oPQX1cTvBGM+ED5L2fZIi/KbQGSOPZpen7FqHSpovagHKCRlBY1f2e0q5ePUWJEJNM4kMyE3RYOlwUWCqVwoEHHhjYPmnSJLS1mb10DQ0NmDhxop9ZmuXGG2/ELbfcgjvvvBNvvvkmBgwYgGOOOQZ1dXXCMl977TWceeaZOPfcc/Huu+/i3HPPxRlnnIE33njDqG65gNU60FFg9KPg+XAETWAaGqAEX4hJazpBh/ENiAsqEWL7/+VE5+S6Qd8YUrCoKi/hznh5+SvYTlU2iJN5lsJi5gMkn7Xx/MWEGqA8+ACpnKBNtGcmTtC8PEAyDVDeBCBOEkIWXSdoHmUl2UzQ5PNt5eQB4g3omXaI4gOU+Z9NhCiRf4JO0Kx/pEQD5N2Xp1EhJ4ZZJ+jwPkCmeYB8J2ilD5C8jdn9IifoQBSYZl+kmwjRi0j2IKM8KSfoTpAHyNgEds455+Duu+/GLbfcQm2/9957cfbZZxuVNXPmTMycOZO7z3Vd3HbbbfjFL36BU089FQDw17/+Ff3798fDDz+MH/zgB9zzbrvtNhxzzDGYPXs2AGD27NlYsmQJbrvtNjzyyCPcc5qbm9Hc3Oz/rq2tNboPXXTyAHnwhBZ2kBa9e2QnJ9IAvb12J+54SZ24UjSQ5gNP4NtYsxu3LvgUQFY9DbQPcMy3THb6VWV8DRAvCV6+TWDx5gHimMBEGqAc5gHy2kw0eHnIOuyrn/wAe/frjvOnDEdjSxt+99xKrXq5CJoQWmSLoQq+i1zw6FvrlcfMe3M9SpIOjhjTDx99VYsvdzYC0NMUZjRAchOYbF2rZEhfDnYtMN8Jun2/v1SGwAdI7gTNv6aLbH6jqvYV5ckosPe+rMHT736F3/37E7ObIfAnWW2ulsk4lc4EA/3llTXS45QmMEEeIHotsKC2rjXl4o+LVmPq6L7S8v08TYo+gNVUkd83+ZjCvjckHUIAuuKKK/y/HcfBn//8Z7zwwgs49NBDAQCvv/461q9fj/POOy+2iq1ZswabNm3yEy0CQHl5OY444gi8+uqrQgHI80ciOfbYY3HbbbcJrzV37lxce+21sdRbhiwPUBkjdUcxPen4AP30n+9qlVXIF9SbtZ5733+wszGz3EQFMbA3t6UCmpg+VWX+3xWliUAH5ucuYW4rKABJosBctRajvCQhXWstzjxA+w/phec/3ExtEwmuuVgLjF22QRSB5h8vuZe/vb4WADB9n354e90O/fq6ZouhJjg+QCUJJ7KGLAoPvb4OD72+jtrG+/769ijH1rrshG3sgJ5Yvm4nAMYJmvQBavU0QHyTcJjPPNufZf4PJkL09gYLTzjAgJ7ZxLnV3cqY/fwKZRZxzpRfVZYRgNicPz9+5B2j+2Dx3t+WlHopDK9Or6zejj8u+kx6nPliqJn/yaZIcPy1lq3ehmWrt+Gm5+WTBd1oNXZC1eppIxn/I28tsIRjZtYmKbQApNULv/POO/6/999/H5MmTULfvn3x2Wef4bPPPkPfvn3x9a9/Xcs/R5dNmzYBAPr3709t79+/v79PdJ7pObNnz0ZNTY3/b/169YwtDKzWgZTsWYGHnMHv2b2cX56GE7TjmL1kJ31tEI4Zl20/kQaJ5L+njdIun+Xw0XtyNRhAtgNfvaXe39atLOl3DI0tQQFoz+5luP/Cg/DYxZPhOA5n+ZDM/8ooMKUPkPyLv+fcSfjdaRPw8+PHcveXJBy8fNV0/Pqk/fxtIqHFSzchYsqoPfDHb38dU8dkZ4CV5Un83w+/gXvOmYR7z53kbxdNaL+x956y2/GR+QB573dFaRKPfP9QDO3TjVuGTgBdfXMbttdnM1BNGFwtPd5F0AcoMzPnH590glmVeTl2PP7nOP5zlDG4F//+SXpVlkr3877x//vhN3Djaftj/n9Pxj3nfB0ThlRnM0G333BLW5rSGHs+MTwBNpFwhFq7vft1V9bND4P3BSB6P+9TSjgOjtq3P357ynj84vh9cdHUkdR+oQaIcILuXZVpuyg5f3h4ObRa29JobX9Zh/bphj+ddyB+cMTIwPGptIt1Oxq5ZZHflakGiMyj5OOEz73j9ZVk33XBlOHBepQkMO+iQ30/VFoDlL12djKpXx/HAWbtPzBbRkfIA7Ro0aJc10NIMOmTq1yB1vSc8vJylJfzhYw4MTGBkb8PH70nnnhnQ6A80S2xGiATbVLf7uWYsvceWPDRZr/OScdBShJpcNrXh+DuxfLZj4hTDhiMzbVN+HRzfWAfz0k72R4+W9fUhvrmtsAA5yKjPfBgB+xsp8wKQHxNEY9MHiC5ALRHVRmm79MPj/xnHXd/MuFgaJ9KnPb1IfjVU5mJQ2V5Ei2NQekgowESX6skkcCs/QfivQ27sPTTrQAyDuAThlRjwpCM4DC4Vzds2LVbqP4+fdIQfL61Hl/VNEnvi+cDFHB6BTB51B74xt574pH/0JOJdFrPfyqVdv1cLt86eC9srpXXy+VogFISX61kMhEQeHpUlKBmN39h20nDemNk3yp8vrVBWXePvfpUokdFCT7ZJPZZPPPAofjfpZ8L9/M+3QHVFTjjoKHMce1aGM8JmBEKGprb4Lr8xH4lAlPGxCHVmDi0FzUBIWEFHD/RHpGFHuBHqyYSmUne2YcMk5bNwxPseldmtEZ1TXwB6PDRe+LlVduE5YjwNECthAaoJJHAMeP6o7wkgf9dQj8v0TtWVpLA6ZOGYNnqTB3UmaBFGiDCBAZxv6+CdYLuVVmKnxw9Gg+8+gV1nAPg0JF7YOqYPfH8h5uzTtAJh3ofSygBSE8FdPDwPpgxrj+eeW9j5tyOoAES8eWXX2LDhuDAHAcDBgwAgIDmZsuWLQEND3ue6Tn5QpYHiHWCJjVADvhrAIl9gEgByEwDxM4GeTZnlihqzARHS+PBdYB14C+i2NicUubAYDsnkQDE+ldJV4PXyATNnb2R5SeD/hGVggVMVXmAeNEi5EKT5HVEJh5eagAevPPFEUvB8tKKe/FIuS4a27UWVWVJ5TvmImhCSKUlTtBMHhqAv8yEB8/5VIVOqL1qcqI7QLAaIDYKKu2KVzfPfPNBSpIJaf2TzHvnlRxYCoNzrnISK9ieMYFlvtVeCgHI22+KpwFqSaX9wd/rD3hawlRa3BfTiQPlPjN6TtCO1nfKgzWBsSYtD9+Hq/0pkE7QZL/JJsLUgX3fC60BMhaA0uk0fv3rX6O6uhrDhg3DXnvthV69euE3v/kN0hGTw5GMGDECAwYMwIIFC/xtLS0tWLJkCaZMmSI8b/LkydQ5APDCCy9Iz8kXJnmAyN8u+B+eaJbEOkGbhFxnBkLyGvyXlFTXRhHiHYn9mJc/JeFkF1Gsb24LrIPDjq1tgugutQ+Q+KZcVx1JIRK0PLzBmtwvWsA0kwlafD3ePZELTZLXkSUG1OmLeCaUNGMC8+CVp+tAnkq7vmmjqrxEaT5wXTfwnnvOqTySiYxgRdKjQiwAmZqSvXPU2X8VWgHNAcKrmx8G3q49I01s9c1tQh8g3qCaTKj6jvb3zrsFP89M+16JBKS6L1kmaN8E1n5vdU18rV1vhXlRhO8DRAiMSV8ACn6jbWmBs71Lf5OOQogWm8DICanWLXAJ+mjxzWm+Bq/9ubYRSTkpE5iij+PhOHQfrUqammuMo8B+8Ytf4L777sMNN9yAww47DK7r4pVXXsGcOXPQ1NSE3/72t9pl1dfXY/Xq1f7vNWvWYMWKFejTpw/22msv/OQnP8H111+P0aNHY/To0bj++utRWVmJb3/72/455513HgYPHoy5c+cCAC677DJMnToVv/vd73DSSSfhqaeewsKFC7Fs2TLTW40d9j0hP3LWD4b8GFzX5eYFEr065CBl2nGzMwyRD1BJIoHWVKq9HqrOTJytlOen48HTACWc7Ey9obktIDSwJbFli75V9lqygYkcxEuTDnfBTr/NBNfjtanIByWdlvvN+AnpKAFIoAESOAHphrTynlV25XJ6O6+0FCd1AY+06/pmnO7lJUqncRfBzjRjbuMfn+BogHpUyAZM86gxtQChERqteU3vOE8Y9YTHHhUlaGlLo7ElhYbmNu7zF0XzlCQcRbu3a3oYJ2jvCrJPQHVbov1kJmhPwyMKNugpfZ5iKojFUD0fIO85sZpVQO/bBIjlVwQvZcAJ2tOwMRPSsLA+QCLrgNdXe8/V69/YwAFvwmNaJ3LSWmgNkLEA9Ne//hV//vOfceKJJ/rbJk6ciMGDB+OSSy4xEoDeeustTJ8+3f/tRZudf/75eOCBB3DVVVdh9+7duOSSS7Bz504ccsgheOGFF9CjRw//nHXr1vkLsgLAlClTMG/ePPzyl7/E1VdfjVGjRuHRRx/FIYccYnqrsSNdDZ7pCNkwZl5maJUPUMLJCBgmK7pnogyI3wI1Ptkxq97hhOMINSYJRxyZJNYAtQtALW3o48rV3OyM17sX9oqsACQTBkgn6LJkVhCkz8/8LyrFaz/KBBZSA5TtiLKFsYO7WgOkN7vk+ZB4TawTymziA+TlcqkqL1EKAq4bFBZSEufxZILOQ5Nw+MlHyf2mApBOAIEqzYS2Caz9OO819oTHqrISNJVnBCCRs3AiwZ/EJBOOVrqGrBN00MSS2R8sQ+3Hyd/O0wCJkDm1y6gg1htM+f4vmefEM5PKtMHsZFL2OLXC4EPka/Jgl+wQmWh9AcifNGU1QORzCaMBYil0FJjxG7Jjxw6MHRuMiBg7dix27NhhVNa0adOk0S2O42DOnDmYM2eO8JjFixcHtp1++uk4/fTTjeqSD2RO0IEosMDSGLzOmf/ypJgOyMQExmoCRB0/OdtWddIJBxClJXMg1gDx1lDK5A/xNEBBHyBRQrlsXdoFIOY8VtiSrwVGaIAEi8WySeJYfB8g4hlWlpVwtWWqPEC+MEVsYztqrxoi4cNx9Doy3rPyTWDM+bzOOqURQeeV6Q/i5WofIIDnAyRut2SC1gBVCdaN83A0NWQkOuZnlQZI2wTGCLik9qy5LY2tdc1obElxIy5LEgnuwFyq8AHy8NcC8zRAjEZQFAUmQxwGn9VIkCkveHTnmKt08J2g21x/AuXlmOL7APFfMhduQGMie55BJ+ighiWKwiQV0AAJTGCgv2dRIkSeH6MpHS4TtChz85133omJEyfGUqnOijwPkNgJ2gU/2Z2ob0oxA5KJlO2AHkhFphFysFGrs8UHJBzxDEpsAst0bF5kiwy2bF8AYo4zS4SYHWhEM3ilE3R7+7EaIN7xLuTJA3kzbVabxHZmLI6jN7fkmfvYGX+2zOD5rquXi6gtTTpBq32AAI4GSGKbSCYcygeoqqxE+Z6K3gnRO5BMyH2AShJqocpcA+Q5QWeE8sryEv9dEPkAibR/KhNe1lTS/rv9f+8SPA0GeU0Z4mbJLoWhcnKu5JirdCgnnKBZHyBegtG06wZ8ET1oB2Z5Xxh0gs78T54S1gEayD4vf4Kc4L9f2eeX+b+NMIGxeYAAcy0O5QPU0TRAN954I2bNmoWFCxdi8uRMrpVXX30V69evx7PPPpuLOnYaTPIAUU7QbvajFJ1P4r2w3m6TrMOOtg9Q8EMQIdvvOOLMpC1t6eDyH052FpZxgqYJ/GY2iMYjNuReNw+QyFeI55dD1yMoIFWVlWTanql0RgOkdoImBQtWA+TdjqitdZ2go/oAAXwhilcm6QSt01GyPkCyLL5sFFhVeVKuAYJ49l6adHhKQKUGiM2sKzpGB69uWSdoTwOURFNr1meO58OS8QHif+MyAY719WFNYF6JvDtQCXYmTtAiwprASCfoNsYHiEdbir+skOsGo8Bk910q0ACxa4GFJeWbwFy/PkDm+ZPftdfVZCdN7W2QYPMA0cfpQnZlBZZ/zDVARxxxBD799FOccsop2LVrF3bs2IFTTz0VK1euxOGHH56LOnYq6BlB9ger4SE7ThcCHyDBNYIaIBMfIIeZcfA7YbJDUL3DspfckfgHtabcQD4Tcg2hhuY246UdsiYw+jxW26TMA+T5AAmSOHptKOobsupjQmsjVNnLHYe9ujYSo7DIB0ikAVLNTj24PkDMLNlDNIhpLQ5K5AHqXl6izKILBIVWWVbnBGMCKytJKgV10TshWnhW5D9H1VfR5tpO0O3vE+sEXVVWQn0vorXAeFfR1gAxZmU2LxTvFlWvmuiyZBh8dbdSaTmytAYysgsup4kcOLLM8K5QqCffKS9rsghWyPJOpX0yZTWXk3WCpusmWlvM2+prgJj6y3y8ZJAtFUWjFQeh3pBBgwYZOTtbsiQcJ5s3hcwDRPwoK0kEXoxyXhSY4N1p8wWgzG8zHyD6oxVpgMj6ql5i6cACsUmkNZUOOG4mSB+gljbjFOyiuphlgs5qPcTmD0d6PZ7fDm92Dqg1QN41GoncLyLNVNQweK4PEDMQegjfTw0BKBWDD5BsJe+k4wTC4OU+QHomsLKShK+hUGmASpJ83xsS3dl1IA8QoT1raq9PQ3NKshYY/xvX8wHK/O+bgZgwat4USXVf8sVQM/dTVpJAVVmJ0LmbF7KuAxkF5mt6pSbx4Ar1QHtkIqUxkQvErKbeP5cUoqI4QbNO6oJIDe8N8d4JLxIumaC/AVFKkY5E4Va67KKwMwIPSgBiBi/XdQU+QPw3z/N9CGOjTSRYKZ/viEk59ymKl/V1CceRmsAaGdtCxgTm+QClgrZ3hUAkmkGZrAWWSYSY+ZtdOTl7vmpmH/QB6ibxAZIJQN4gy7YViR8FJkmEqDPY8ma6WT8JpkxBZ61lAku7fjK/7uUlSmdhIDiDlmmAksmgeUc2uDgQmy/Ib7cnkUso6UT3AdI2gbVfhs0E3b28xBf0GgQ+QKJM0EoNkCAMPugDFDxXLfjxt5NO0KXJhFTIiRwF1pamHIBFpFyXG7EK0P1NMiGfLObaCdrrs9LMBJktknViJzNBk+8rnQlaH93V6/OBFYDyDPmuUEthlCS4f3vwfIBE+Bqg9hfUzAeIrqOfu4KBFIqiOHImEuKBqkWgASJV+sGlMOQfl1dv9jwTDZDLhMHzyE7e5AISuZ/VSJDXk+UaSegIQH5SM7ETtA48DQLrU6CCN1tmaWhJ+QNppUYYPBAcpGT9LK+uskskEhmBhgc5OaFD69U+QKq7Cp8J2nOCTmZ95lr4eYCEmaAVPkDZa2f+z5rAaBM87xbCJkIk3x1PAyQitABELIaq4wOUTrtcs67ruoEJr+y+2Xclm+E9SxSTUcrXALWXLygr4ARNuFTwMkHHJaAVAisA5Rk2xNyDFFJYgUXoAyR42VKMhG/iA+SAVoeLPlrWT0iG7KN34Ai1Gy1t6YAPkIPMgAiAvxaYSgMkqAubTE0eBZZdC0zpBC0og9ehVgpCsVUaIK+uu1vFi0Lq5AHS8wESO0HrmsB0qCXW5KosTWq9wyamXt7zlZrAJIkQyXeATKao4wOk1ABpNiLrCE9pgIgJAy8yTrREA2my4U2i2Hwx7FpTWQ0Dr61VAhB/ezOx8nsZZz03ku5ho8BKvTxAWd8eqUY4zdcAuWBMRgozM9uX8PMAhcfT/LBpUliyzu2Z/eRiqOz9sPXTWXeyePQ/mgLQ008/jdZWfrpxixkiJ2hSkxB4iVx+HiDxUhj0C27qA+Qwv7l5gAzKlHV2jiP3AQo4QSecbBh8S5tWUj32fCCoKQpogKR5gKB0gpY5gAL8ZyL3ARJWx++IPKdhHo7fmYl9gHTkZNliqOw7EcU3oLZ9eYOqsiQSClOMh46jtAfv2wnrBE2+A+RyGglH/u2VJBPKEc00E7T3XtJO0JnvpbE5xQ+DFwhipcmEX251t2DIue8rwtwE60TLN4EptMYaExW1CSxkHiDieTa1C1wqHyCRY7+ov+chCoM3KUMGuxRGVgtNH+c/P08DRJnAiLp4GiDis1Ml9sxcwLDiOUSrx/AivgAgmUxiy5YtuaxTp4ZWiWa3q01g5hogb9AzXQpDxwmailJTvNBy51JHOLi3ptyACcxx6MVQjQUgQV1M8gBRUWCiPEC+kzO/HN5gnckDxJlpQ5EHqL2oxhaZBijzvyjiznH0HCyla4Exp0dR19fuzjrxAuqEgbrHeATNZa60vqKJAEBrR0gBKJlwpHXKaR4gwgnaCxqob27jO0E74igw7557StZJ894/7x1lw6h5ZSv9BgXbve/Uq5ss0sskAz4JOdnc3W5KVPoAcb4L12U0/gl5X6kVBh9hUuGbwAI+QOy34F0rs72VXAuMowEitZSiCWGxolXbvn374vXXXweg7igscniJpACFEzRcfh4gQTeRDVv0yjbR1gSjwHidMLnNVAihyuFUzRP26pvb8LvnPmGOd+R5gDRNYOxx7Liguxq8SOXLm72R8BYBrCxLcnt+15UvH+EJUzIfIK9YWR4gnbHW0yC4rouLHnwLP3/i/WBUCXPNMHgaIG+AC+MDZHqsvFsTCytCE5jjSLVSenmA5Pv94wgT5z/fWo/l63YByGhBfJ+5ljauA3pJ0uHefGYpjEwFeCkaskK5d234dQD4JhwPZfZ4wf7XPt8OINunhfXzkUFONu9clFmrUibIikxgQLAvlcH2CTwtchStqve8fBcJkQYI9PghdIJur6/IkiGsRxGpgLQ+r4svvhgnnXQSkskkHMfBgAEDkEwmuf8scsgXmOyEB/fuhh7tH/PYAZm1zo6fMAAA8N1vjMSJXxtElfODI0aKNUCMjXevPlVSyZx8abl5gDjX6V1Z5nfg1d3ohGQTBlf7f/esKMGvvjlOeO2E42DuqROobf16lvt/b6tvYY7PztB2t6YCmpHvHT6C+v2zmfSyLf5aYIpvUJX3w/cBErSrSL3sQarU+7ff73ii3YLXzPw/aVjvwD6vqF/O2hcA8H2mDTLHtGsIBPftyCpL4HWen21twAsfbcbDb6zLLpbInP9fBw5VlifC02B4/hgqH6Bfn7SfkQnMez4XTBkOAPifmWPlTtASDRCZooJ898cO6CH3AUom1P5zmvfkfd/NbWk8vnyDv310vx7EhCHFNWEmHMfvc0gcAHv3645kwqHuy+OwvfdsPz/zO5gHSFxf1X2r3sRhfaoAZCO2WPYfkqnveZOHAQAuP3qMosQsJRzBlHy3bjxtf2pfW0psAmPDxkWD/6i+VUEnaK4ZPfPjgL16Se6Aj/ft+iZrkRN02rtSZn8bYVHgBb+QxZBRsQcNz/RVpx4wGKceMBgAcOn0vTF9n34AgDH9uxvfQ9xoic9z5szBWWedhdWrV+PEE0/E/fffj169euW4ap0TkRN0z4pSLPvZkdhc24S9+2ZejD9+++vY1diK3u1r3rz7qxmoKk+itqkNvStLsbW+mXsNz2nNK79vj3L85+dHYVt9M65+8kN/FnX7WV/D9LH9cPTNS7ClLlOW47AzDrEJ7IM5x2b+ZqT+Jy6ZgoaWVPtq0g4qSpM4eEQfHHL9i4FyHADfOngvuC7w8yfeB5Dp1P558WT81z2vcY7PLtCYSrt+pztxSDUeuPBgv608Lj5iFKq7lWL24+/79wOoZyHSPEA6JjC/EfnlkG265P9NR1vazaxHxTnWdYF0e33PPmQvXDljH3zrT6+3Xyc7wz5u/EAsv/oYboZcVRg8m/5AhBcVQ74jde3aGrZD3btfd6z41TGY9vvF2NUY9CFc+v+mY+pNi7jX8WbU3rMWPY/TJw3Bz4/fF32qyrDwo83qG2jHq+s1J4zDj48ajT5VZXjp46xpf/LIPfzvBJBH8FQSAtCBw3vjjZ8fhebWNPbaoxJzn/1YWAcdE5iWTwVArI/X5r8PN5w6AQOqK/D5tnp/H88HKJlwcPyEgXjlZ0eiobkNM25dmtnhAGP698Bbvzga1d1K8ch/1gMADtt7D9x9ziR/tfWgEzQtEIfxAVJZGeZddCgAWjOz78Ce+OfFk5FKu35E5bUn7ofLjx6Dr2p249aFn0rLBLyUAA7KShJoas0KNeT3esZBQ3H0uP646rF3sfDjLWhNBTPWZ+8j+3fCCU68Jo/cA9ecOA7D96jytZ7k8Zn/g2PGYxdPwdPvbsDlj76rvCcPVkMnMlGyGiCPTBg/+TuoASK1oVNG7Yl7zz0Qvdr7o6u/OS47ll0zQxj1mk+09Ydjx47F2LFjcc011+C//uu/UFlZmct6dVrYCCuS6m6llDbFcRxqQK9uf5G8RQBFJjDWBwjIrJvTq7KM6jB6VZahZ0VpQE1Lliua+TpOJm8Nj5JkAtXd6I57D8HChV4d9+ie3Z9wHGGa+7SbXWCwLZ3NkJxIOAHhh3dtXZ8KqQ8Q5QTNP07tBJ1tH/5Ct1lcuJRfxZ5EW7H1FC0Q6Ts0CuLpE45mFBhHheT56/BO71VZxn1LHQcYUF0hvE4z4esBiE0QCSd7zzyzogg/xNhx/PPJpiTfR2+f6J0gv4OE46B/z+x9yUwnOiY70fvFkk0NkfKXcvA0qVmfOUEYfPuDG9yrG+VH5vUD7HeVcBxf+CGP80r288hIlkpQ3bpqv3ePpGBcUZrgLAKc6Rc21zXJC2wnG/VGC0CsAN6nqswf7FtTaS0NUMJxAtOuspIExg7oCQDBlB8cLTLp18lq3lWk04yASnwDJKwPEFl/9n7Y+pECu+PQ7w41lhnWPVcYG1CvueYaAMDWrVuxcuVKOI6DMWPGoG/fvrFXrjMSl0c/IB5cZcm7yGt6EjhdJ9qrXxTKa1p30fHeZtY5vExgTk2lXb/jSaWzvjGy2vBmUCoTmNQHiAiDV2WCFpViMliTMotoQUIVvglMkIJHdzFU790iO3xv5ioa0HlKp8zio+Lr+BqgRHCgI+ElZtOBL9Q7wv2yMHhWAKKvE3w/SpMOWlOupgZIb5bsRTzVN7fBcUqoc0mfOb4GKPu3SENNwn47/nFMGLz39ofTAEl3++eT2mfpSuua34nXt5SXJFBHns/5Xj2zY0uKnwmava5K4GX3eqeK1gIzzQqdZn2ARBogXwCit7MCEM+dgHS1iJK1Ol8Yu2w3NjbiO9/5DgYNGoSpU6fi8MMPx6BBg/Dd734XjY2Nuahjp0KngwlTFgmbB4g+J/u31zGyWqmAEzTnOqaym0jzws926ggzLLemshqgjAlMntMCCObiANSRmHINUFYjo3KCFqnyRYM173AXLqG2pu9V1/HXG4dFK6SLnjOL926RKv+6pjZpXXgRbFXl8rW3mlO0BkjkC0MWYeIDxGt/Sr3P1M1xxO8waQIL+o4Ez/E0fiVJdZvrBjB433JjS5s/GHvnZp2gU9xlSMh2I+srqhrrkO+9457gk9VWtu/nlKG6b91gBt1FmXUDd0gNEAkboUUew1u0mXdd09B/rhM0WQ3DPtibtHltK/xewe9TWf9Qr+3J96GU8ic1q18hMBaALr/8cixZsgRPP/00du3ahV27duGpp57CkiVL8NOf/jQXdexUxKoBEmxvY5bCICFfeq9jTDAzQPIsoQksJuleZOcWCRapdJrq9DwHXFlTsj5NAJQSkEywICNpeE7QjpPt+ETFCAUgXhi8S4cWixzpZXjlipygEw60OlTv3SI1QJ4PkGwFb5YqQdJHDy/hXQnHB4hnEiCP1UGVBygQ0eaItQikBohtA97z6eYJQAm1E7TIyZ6lijCBec/GO9fTDmWWFwlGClKhzRrvE/s8s5+UyAeI19aKayjq4J2f1BDY2ONklAgEINl6iEYmMMmNBQWOzP90IkTybzM8AZXnIsE7jt2bYL4BP6cacU+kwB5xeMsLxiaw+fPn47HHHsO0adP8bccffzy6deuGM844A3fffXec9et00NqWqGXxt3vfIm8/tfSCJwAxwgc7a1Flgo6Cr+ZlhBRR1Fpr2qU6Fa/jka+xQ360evWSC0BEOn6OoCbK9aRTPl8DhMgaIO8U4Vpg0HSCTnkaoGw5tZ4GSCQAcbZVlZVIn1mLxAco4ThEpGP2nMhh8OT+gAZI1wRG7+NpcLzjdcLgdZ2gvazHLak0GtsTYnrnVhIJNskM2x5kFUWDLUlAA8SEwbNrSfFKUfnixa0B0n01RJmveRMWL1y+pS0tNIFRE17Vo2QuwdeOk3+bdcKsD5B/i0wxWR8uRiBjTLbeX+T7UFYingwUI6FMYP379w9s79evnzWBacBzIguL2AlaogGiBKBkezlEmU7wI1P5S0QhqymhhTBRx59KudTsrJWJeOPBy8WhjgITfxqtzHpELEmNQcSo/Vw6t4rMVCMi6wMkEIAcvfexrd3syOvwxT4jfBOYd10enhO0N/DQAx15zewPs4znHK0EJSgHZ+MiAYg2gdHH8Ex3Xuh2iYbaTTexHJn1eFe7kOOdm0w4vtaphiMAic3T/GuJfIDYMHj/HVdMxMLgnU76AMkEDN2+1utb2M+E5wPkCUmtqTRa2/jfFTVZcRzIdFtse/t5lDjb2O06pFgnaE75IGrIbheZgcm2KutgGiBjAWjy5Mm45ppr0NSU9arfvXs3rr32WkyePDnWynVGws5YeTiCp8cuhUFdv/2ckoTjCxm0xoL1ARI5U4etNY1XDK3KdoQmsNZ0mjrWy8AqM8mF0ZjIjmtRaICoZo+hnTI+QJm/A5m6dX2A2g8TZYJm7fsy0m5mpexAGUKfgiCe+VV0Sa+NPUGUFCREyeXC5AEioQRLpiiZEzSpYWGP4WoOvAimZHwaoJJkwtdI8FI0eNpengAkFKKFJhLWByjzvyfoBhdDNe8/ZBMU0sSsO6E0jf5kfXp4PkBZJ2ixCSzB9GsyzVbAfCqYHGaPF5fFI+sETdfNJAqMd31yUkVriIpfAjI2gd1+++047rjjMGTIEEycOBGO42DFihWoqKjA888/n4s6dip0zCO6iE5vk/jFeNfP+GA4gePYl1w0MMb1avMc/Rwnm+qe1Vi0pVyqw/YGYtnYx+sklVFgEn8ScrbHM3FQwpz8MgF4x7uuxAQWkwYokdCfJbel+Sp/0fm8LNak+ZW33/MB8mberAnMg7xklKUwALrD5jpBC+6vgvIBovfx6uQJJiWJhNoJ2mBpgaryEjS3ZROHllKr1CexrV4gAAn90fiwT8vrR7zt7GrivHKU75qmr0wJI2CI0P1OvPLY91vmA9TSlg4spsy7biYRohj2ElkfoOw22gfIrHdh8zQJTdYuf/wQTYZJDW+c41s+MBaAxo8fj1WrVuGhhx7CJ598Atd1cdZZZ+Hss89Gt27dclHHTgUrbEQri38+G+ZI4m0j82UEfICYPEA8otadLYc3qy9NBgWgVNr1k/alXcIHSKoBCv6tdrIUl0fm0uENUKxGLSq0D1BIJ2jObI3E5HmKMt+KlBXcMHg/ApF/jq4JjBJaIvoA0f4aQQFIdH/dJCYwngbIGziTCbXWzWQZm6ryJHY08M/1tFQmApAIlQaITaTHn4jJryH7PkWh5XIzuPx6bHk6iyPrOEHz+h4S8j4DTtD+CXyhwlQLH0iE6OcB4h8XFMhYHyCHOp4sk6518RJqIZVu3brh+9//ftx16RKI1PdhEJ3tDXKyVdxJnwG2TtRHJvrKYnq7vWvx1LxlTDIyINsxlSQTaGlLE2naxdcwjXJRlUd2djzVuKrTk1+XP8NKE2rrcPfjdVYiAchEA8Rf+0h4PjcPkOcD5HAPaAmEwfO/G/L2jfIAcepKmcBYDRAkmaBN8wCVZHMbqdq83GB5oaoyujsnz+0uM4EJfYD421mBNugETZ/Pm5yow+DlJjCPUs08QLomMM+niDXx8trIMzm2SvIAsTm7ZPfFku0bg9syP7SLAkD4AEkmyIA8DJ6n4SH7FJOw/2KgYy3d2gnIRx6grA+Q+BxyEUHW/KSjpYrLvsv/yDM/eA6g3kfsq6rbxA7fHjyNjKojkt2dFwFVkuAvFEubwOLWAIV7h3wfIIEGCJpRYF4ZJiYwnj9HlcIHyM+zlMiai/yaCgR0k9W/uQv8CjQLmX3iXESyKDCeUOabwJKOchAT5cPiwWZBJs/1JjxcJ2jRN656OP759Oa0PylxhOVEyQMkek5xmsDYRWN53w1pAuP5xLHXdRyO+ZD4WycPUBQTmL8YakBAZY8L1s07nicIUhqgDmYCswJQnqGFjYgaIMHpKX+9Jl4nn/mfnC3KEyHyrxGfE7T3kfM1QCxslutsGLz4GpTKXLPNZR20H3mWcLhmkSidAO9wWR4g3XdI6QPk6JfVluZ3+OJEiMFt3TkpGHhwfYAS/PYVmcm45XKdoPnX8PaJ5KtKSR4grg9Qu2CS1PAB0nWCBoBKRgDiOUHzNHemPkABDRCjCdBZDFXlr67rK6P7zHW1Eb4TNCPgN7cG2412go5uWub53LBlRHGC9m7JE4SyCzbTBYmdoFnzM10eQKdU6AhYASjPxKkBEiHTAPFNYKD+1tIAxVT37HpBRNntnxbPv8bzvylhBCBZR0NrDDL/qxTRsvvz6pB0+CYMaoBWXCd44eAmUgPkMIKKbvlqAUhfA5TxAQqWIzpf5gSteo94PkC8FakBeiBXaYO4JjDJ/oQjNqNUlEicoGUaoIR6Dm/in9O9nK4HL+mpB+kfZJKTChDnAWL388zbonNYwmiA5FFg0sv5iHyumlqDCSQ9DVCzLA8Qc132vqQ+QDwNUIhv34NdCkP1fAMCWcLhTpLI9yFu/8dcYwWgPBNnHiDR+TInaO+lrBI6QbN2Xv414rLveh0hHdqd+Z8XCu8NvL6t3g+DFxMmCkx2f54JLJlwuKHX1HgSRzO5rtAJWvcxeMfJwuB1K2tqApM6QSuuxfMBEg0CpNBCCh48IUS1vl1AAyTxASIXs2Wbl78WWNYJWvUdmQwipFa3NJmgzq1k/YMIoU0sAOk9T+907x1ll6cJ01WowuA9qKUXYsgDJGoLXpSXJyztbmkL7DO9buZY+nc2DxD57gf368Jq6JJ++TSsDxfv2uSJ5KSKp8kvZowFoJEjR2L79u2B7bt27cLIkSNjqVRnhnwpIucBEpwuywPk9Rd0FBhdP4f5bXJtU7zyeUIKT/3P+gB9sb2hvT6S2R9HY6DvihiETL7IUzToJEIUwTvaBWsCM59l+U7Q0kSIenU0doLm4GkrlGHgRMh49jr8a4rSA8iCAUjIqgSEHUf8vZYTmkp24OZqgNqPL9XIA2QCOakpZ15MUjsE0HXWNQt7BPzn2s9vS7vYsGt3NpFeFAFIpgESBAHIvgXdOohySfE0QF4b1jcH94muy7YdNVdiDvaUUaL+2LRd066LVNrFlzsb28viF8BG8WWvHZwUAPSz4pnIihnjKLAvvvgCqVTwgTc3N2PDhg2xVKozE+tSGILtMhWn94HTTtB0J0KHwZvNDk3hdZLeNp4JrFe3UgDZjm/xyq3t9RRfgxwLvPP2qCqT1kvHB6gkyffhiHsW5Lqgln6gQ1H18J2gRRogDW2ER0qQB0gkIPTrUY4tdc3UNl9bobikaCmM7N/EscQx5PElCQf01fnPhZ6cBPeJ7q9UsgI23wfIc4JOxDpKkJMa9tupYv2DSkjNCb8SPSr4w0Mf5tvxTn/4jXV4+I11GLZHJbU97oR4ojxAuoEQMrxnXF6SoLQ+pKO7hyecNzTraYBKEonAxKt3ZSn123GCPjh0X2v+7Xuk0sBFD76FFz/Zkqmb7wNEH+c9X54PEImX0LMjm8C0BaCnn37a//v5559HdXW1/zuVSuHFF1/E8OHDY61cZ0Q0ew2D6AVjHYVJvrn/QHz0VS1mTRgorBOrEeJe27y6/HKc7HXZa5Jp1a+cMQYvr9qGa0/aD0BwZi1rSp6W4Dcnj0fDoyvgAvjPmh3CevEg/Y54bVxRSkYs0fv3qCrDFTPGiAvnkCZNYAlH25+BxPcBEjhrOtAXyFtTLtcJWnT+AxcejDlPf4h9B/bAstXbMLh3JSYO7UXVSwTXB0gw6+9eXoLzJg9Da8rFO+t2YmdjJuIpYy7NTtq+f/gI7rdDbmNNV7K1wLqXl+D8ycPQknLRt0c5tY895+fHj8WBw/vgww21OH78QDRIzCemVBJaHtaXhRWAyN+sBuiaE8Zh8cqtOOPAodT2+84/EPcu/Ry/O21/ajtrql67ndYwhNMAiVVAIh8gmQNuRWkSF0wZjp2NLdjR0IIZ+w3A1U9+EDjOa7d5Fx2Kuc9+gjEDumPNtgZ87/CgdcMTIsnIuimj9sCrn2UtJN51m1pTGFBdQameJ4/cAz+ftS9VpoPsIZ6AIuqP2XY9fPSeaGpNoXdlGV74aHOgvmnX9YUfgBTyswUdMqIPbjxtIrd8r91/OH1vrN3RiAPav2FRHqCOYALTFoBOPvlkAJmO4Pzzz6f2lZaWYvjw4bj55ptjrVxnJM48QKIXTLYW2IHD++AfF9NLlrA+FdTgINQAmdVVhCwRIjlLPX7CQPzwyNH+b9bJVXf257XZ4F7d8OgPJuMvy9aEEIA8AZM/e+4uSDEAAA997xDsO7CnsGx+HiBk8wAFTGDietLlZv6X+QDpa4BEiRD5548b1DPwzrH1EsH3AcruZ+v865PGAwCOv/1lfxspPM2eORY/OGKUsi48DZCsfa5tvy4LaVL533Mn4dj9BgCA3x5vfB50JwgL+d6xKSSqGBNYT0K7w97rhYeNwIWHjQiUf9S+/XHUvsF1IEWOw1kNkDm6UWCUD5DiZZpz4n7Ub54A5L1nB+zVW/jOstf2BKDelaV4+PuHYvjPnpFe1+ORiw4NbEs42czoPB8dkTbIq/MVx4zBPUs+8wWga0/cD1/V7Mb/Lvk8YP7mCaiP/iB7z6zmzjv+ymP3obaTfYrO2FFMaAtA6fYeeMSIEXjzzTex55575qxSnZk4o8CEGiDJUhj8OhF/J/TqFZ8TdLAO3p9k58bOMk00QEmB9oC9Lr1dXKA3+Ccdh+vjQZkXDcoF+PeR8QES5QHSew7ZKDDRfk5lBbQZOkHLUJ3B9wFSf0MlGlFOLLJ2la0FJoPWUATP103QpwPrBC3aBwA9u2VNL6L8RrqI1u3jm3D0iDsPkC4m68kF2rhcPZyqfA8z90b7OeqGwXv72NQA3nvHTn5U32vQB4h/HL0UBlE/aenFgbEP0Jo1a3JRjy4Dz9clbmRRYDwCPkAaPiZRap5wyFwhwU7ST4RIdDDlzIyWHYx0HSADjoaiCBhhaVkBM5HgRwaJkkxmricpWHBd12UXQ5WXwcP3AUrzJSA2/5OMVDrtR8LR1zCvmDIPENcHKLtfdHoYIZE8ihcBY+osDKjDzXPlBM0GELBh8D0rSAEo2nVFK9Z7zRXKBKa5arpJ7icdTIRctk9i2zgU1GQ0qEJzJD5A3j5WKBRFvooSIbL7A/VhIMtlEz8WO6Ge2IsvvogXX3wRW7Zs8TVDHn/5y19iqVhnJe48QKQw4ZGS5AESlZH9W29V8CjCG6nmzfoABetDfsgBDZCBCYzWANH7RPchuz/fCTrBzwRdRTlM6gtqMoR5gLQHd08DJE6EqPu+tArXAguhAVKcwvMBos/nb9ddI4pEpFnIXCfc/cm0j+0lG5cpgjRzBU1grAaInwYjDCINkGqAlaG7anqJgQlMB5MFddn7ruQ4SrOoMtDzHPF1w+B9DRBRL8fJCi7st6+cjDnsb37bdKmlMK699lrMmDEDL774IrZt24adO3dS/+Jm+PDhvlaC/HfppZdyj1+8eDH3+E8++ST2uoVB3SGawXspsxFDeuWzQpnOeVHebZ4Piyo/EhvVEjCBaV6PLds0CRyQzRKbyQRtpgEK0ylkVoPnn69bmqfZF62EkYn+0yMlDIPXLIC5rgyeD1BKEHVCnRdGSKQGH7ad9SYGLKRJJZ8aoKB5hvUBIjVA0SohylbtKzDCvPOSfaSViuo3YshqZ7KenMrRnIcyASsnAlek8WRrmuBMFhJOVkvNJrBUOamrosA8hEth8A8vKow1QPfccw8eeOABnHvuubmoT4A333yTCrv/4IMPcMwxx+C//uu/pOetXLkSPXtmnU379u2bszqaQL5TcUjIvBKyPkDmHT8dBC/5OCK83gkiKIfrBM3pyNhOlu202wSmnUDZmh+17O5IHyDeM+wuSDIpu55/XU55LtxAcrns8fLy2HLlGiB5YaVJB60pF20CJ+gw/iyqM0o4PkDkoxb6cJGrUhu2EcD3FTNYx5JbjiplQlS6S0xgQQ1QjAKQwASWKw2QKAw+jrY08Ydi7zsOExitAQoKKCJtEPmb1X56PwMCkFe+4AkFBCyN9tUxTxcTxk+spaUFU6ZMyUVduLCCyw033IBRo0bhiCOOkJ7Xr18/9OrVK4c1C0eYCB4ZvDLa0tlEfaZ1YgdC0ccRpc/k2Yllql0gONtiZ2qNLeJkZHLHQdH9iW8wGwUWvxM0DzYPEIlucb4PkGBkcRxHOVKVJhNoTaXQluLnAcqFD5BvAiOev6uhARI5Tcvrwv8byLRPmOSZhfIBUuUBilMDpHaCDlOqeRh8HG1pogFSCZk8TDLQc52gE/xjyd+sUOgJOuwcUXWruk7Q1DExC6S5xlhp+L3vfQ8PP/xwLuqipKWlBQ899BC+853vKBv3gAMOwMCBA3HUUUdh0aJF0mObm5tRW1tL/csVrL9NVLgmMEkeIFUZGZMhuU90jn4dWRJUpxX8yL2/ZEIR6wPUKMnGKludPYwJTJUHSGYCU7Ubb7eLbAZn3hINOmSjwKJogDJtLsoEHcZJWHWKbwIjDiRvQXS+aMFUaV3I8zmmRpX/Bg+Z/xnvOlEgfc8CgzMTBdatLHwmaBZRGHz2Ow4n9IsgPwFS+Ip6H4CZD1DAz0rDB0gJZ3wQaYBEp7J+Uf63zzRqklM+CdvXmLpGFL/4E0ID1NTUhHvvvRcLFy7E/vvvj9JSOpPlLbfcElvlWJ588kns2rULF1xwgfCYgQMH4t5778WkSZPQ3NyMv/3tbzjqqKOwePFiTJ06lXvO3Llzce211+ao1jRx5gEC6JesJOGgLe1Kl8Lg14n+mz2N1xlFqTsvpwuvXWSdIDtT281JVe+XJxEEw2mA2k1gCb4JjOwIRbk0THBdV399HgHeYVEWQ/UGOlEeoDCvhOoUfxZMVE7kdEmSpN5pze9A4p/nOOGWTwmjiQoLFQVWIhf0aa1CtHqJTWCZ/+O+69yGweuXES4MXuUEHbw3UWZ5kTY7EAbv+//xTWAi2L16JrCOpQEyFoDee+89fO1rXwOQ8cchyfUN33fffZg5cyYGDRokPGafffbBPvtkEzVNnjwZ69evx+9//3uhADR79mxcccUV/u/a2loMHTqUe2xU4l4mgfIpag8JSxnnAaI7Qy1Htgh1562VJTM/cMsImMDCLUgYpvMnTWBxO0HzdrsAsRgqc7y6uu3lyo9MOKz3VxBKAxRbFJj8HN6q7rTTJf88UeJE3bpw0yxE9AFSLcAaldJkAmUlCbS0pYVmKW69ItZB6ATN8WHRJYwPUBxtaeIDFEoAUrxDgf4c9Dcu0wbxfIAcJ9suwkSIwrowQrNG01ACmvrwgmMsAKnMSbli7dq1WLhwIR5//HHjcw899FA89NBDwv3l5eUoLy8X7o8TWoKPQwNEdwYtCBMFRv/NnsUrJkpnwxMCTcMnTXyAZB282IlWfA5pYuT1/TJnSHUnwpeARFFguqOLjuClqptnHmhLpdEaUx4g1Sm8GbmOD1CYaBTyOJ5viWr2zoM0D/EETNn9hxEou5eXYEdbi1Ao8cuWCHumiPMAeQOsefm6q8EX0geINf3pOEHrJULMwDdRiQV7vgYoO6FlJy08DRN1JcPJG1lnQE9gKjQdoIoZ7r//fvTr1w+zZs0yPvedd97BwIED1QfmgVzkAfLwXug2wzxAzBxDz9arWzTvXI4QmKCroCTgAyQRgKSDjOjjV1cBScfhzhirpFFgYQYDBPImZcvTK0MdfQao7prUAPHzAOnVha6X/Jq8wZlefJF/nmjxVN268MLoo0aB8QZ1qXYyxEfmhbvzFhIW1StXTtDZyY15mboaIGopjBg6VBMfIMdxKEFTRwOkgryF0JmgqTxAWdN2Uyv9zaqeS9DcrjEucLT7xYzxE5s+fbq0IV566aVIFeKRTqdx//334/zzz0dJCV3l2bNnY8OGDXjwwQcBALfddhuGDx+O/fbbz3eanj9/PubPnx97vaISdx4grzMwzQQt8wESFRFFeUWe6l2b1xayawR8gGQaIEk7685+eCQSfAGKTIgWiwlM5gOkrmbmPMW7puMDVEa8X83cPED50QCRfkyi5xcm2pJnfsiUlfk/qg8Q35dOVh/z9vScnZUaoLwIQDwNhh6ifFUArVkIY+qUYaIBAjLaL0+zEosTNJkHiGsCEwsY/DxA2TZqYvwkVabPUFFgIb67QmIsAHn+Px6tra1YsWIFPvjgg8AiqXGxcOFCrFu3Dt/5zncC+zZu3Ih169b5v1taWnDllVdiw4YN6NatG/bbbz8888wzOP7443NStyjEYwLL4r3o3gChWz7rgMyeF7cTNC/MnrqmK76uB9tp83xSeNdTlaNzDnkuT80rWww1zFjjQmzWDJPriUfmucuP8U1gojxAYQQgxX6eDxD5Xoguqcq/w0MUoem9o6wTqQ6kRoF3vqxq4TRA7QKQQgPEi8QMC7skhIfj/x9G66kXBk8JLGEkVAbTddFIM5iWBkgZBk/WJdg3yjRA3k/23U8IBCDlZCxEAEccVo18YiwA3Xrrrdztc+bMQX19feQK8ZgxY4YwBPWBBx6gfl911VW46qqrclKPuInbCZqV6LXNI5LcEkINiV7R/HOpPsvUXJfBZKYmO1S0T6f0ZCKhdoKOYSmMtOsKnaB1UQ1CCUfdwfkmMEEeoDCaBN08QCRkTxBvJmjBwBrhZVfNsmV1CyOYeO+eKDSdV69i1ADJBAXKWV0hYJpiqgEqNTSBqfzIKC0kp/2ka4FxfIAcohzWBKZyUg8zeYtTsM4HsfkAnXPOOXYdMEPizgPEdmTh8gDx9svPMYU8U+jcK7iuh6mtXoTINKRzf0mHP8BF0QDxdq/fsTtrAmOjk5S11Lyuo/b9Km2XlJ//cBMamoNRd6FeCcU5vHdYtPo0SYIZBEyrwjWBhRhfyXJ4p8vqFiY6q3u7D1BZUm6OUeUnMkGYB8jx/o93ICQvV6owMZpi0q8AtKZNywnaIBGirwESrgXGP5f1AfLeo6Y2VgPEL4c8V1Q3ETruE8VEbALQa6+9hoqKiriK6xLEIQBRTnPMxxvWBMZywNDegW1hqu51lNPH9vO3eepz3nW/vlfwuh4ljKr6a0N7mVcIEidojfsThcFXlBIdELNP9cynjpEv2RLWqTqOd626MpPz6/XPd6A15cJxxBE5uqjO4M3IR/Xrnj1fQwNEviqj+3fnHN1+HDn4cExgI/tW+dsO2KsXAGDKqD2E5bH07R6MNCWvuf+Qamof+Z3osmf7Naq7BQfjA4dlvqfDR+/JCEDRhoEwS2HstUeltMyJku9ZlAdI5jfEY1h7HQ4d2cffZqoB6lWZzYPXuyrzt/duHDKiT+D4o/bNPNO9+/HfQ34m6Ox++nVn+wL6PG+bbwJj/CS9tjt8dN/AvbDXZetGctDwzHt18Ig+XNNxMWNsAjv11FOp367rYuPGjXjrrbdw9dVXx1axrkAcEjKVCTXB/yCU9ZDUyXGACw4bjrKSBEb17Y5z7nujvWzzyr94xTQs/HgzvnXwXpi+Tz+4yKqNecWdP2U4SpMJHLZ3cJAh7/X4CQMw58T9jOsDiO9D5/7KSmgT2LR9+uI7h41gNGp0OaoZ5pwT98O+A3tiv0E98eib6/HEOxuYejEnaD4G0bswYXA1/t+xmbxZKgHm0ul7Y98BPdDU7gA9YXA1fvOvj7Clrrn9GvF3eORs9qlLD8NHG2uxqaYJ731ZI71mkgk/986dvo9YqKDMD5RZOPP/lFF74nenTcDo/j2wV59KPPnOBpz69SHKe3jou4dgZ2MLhvYJDvpk/S87ajTW7WjEvgN74oMNNTjjIPNcZP89bRT26lOJUycF63XPuZP8On+2NeuuED0TtCgPUOZ/svg/fvvr2N2akk5uAODsQ/aC4wC/febjgMO9yAfI1AT26EWT8a/3vsLR+/bHtN8vbq+zWVtcf8oEPPP+Rowb2BP9emQUAH8+70A8IXg3bjxtIg4e8SVO2F8dlcw1gUm09d7xrA+QN/FsFPgA/eL4fTGqb3ccu19/7n7/t0BOvuecSXjinQ045YDBeHx5tr/qCP5AxgJQdTU9S0kkEthnn33w61//GjNmzIitYl2BOAYMsvNhZy9RnT/Ja5w/ZTi21zf728Kom/faoxLf+cYIAMDR48Qfm1e0d10e5L1efMQov/MxRfRR67RcaTJBdZgzxw8IaHDY5mQ1Vyzdy0vw3fY2qixLBgQgVqDSfYNEmpKZE7J15glAyYTjO9UPrK7AFTP2ofbPffZj/++cCEBEnSYO7YWJQ3vhtoWf+ttEV6Q0QE72XBkiTSjZdmcetJf/9/cOH6mqPgDgG6P3FO4jm6xbWRIXHpZ59oeO1NcskQys7ias157dy/19a7bxNWRhEEWc+QEOxLZDRvbxtVQySpIJnDd5OB57+0tf2PXLpQTV8ALQgOoKfO/wkdjZ0OJvMxUG9x/SC/sP6UVt24NoZ5bqylL/++bBi3AThsGzJ/M0QIns82HN1l65VUSfQxUXmAzz24a8345mAjMWgO6///5c1KNLEoeETKqfWVW2thO04AMDaDUmeS3Z6uthoII5NDoyUpOiiniRX5ffSDofb2kyQXWYvGqzxZg8c54KOfB8QjxjEVwByHGQgjizOM9XJk646RFAd/Cq88JEyrGOpLmCMiHmccSIMxO02I8u83+K+C5MTUw8oUb0Lod1go5zWZCokO+2L1c6/P0iHx3WB8ibJLem6PZR+X6F8QGijyl+CSh05qa3334bH3/8MRzHwbhx43DAAQfEWa8uQRx5gMokGqAw0S+yc0htU5upwV2BaVuQwp4q7X+Y6+q0HWsCU5VTkgimGJCfG9wWzANkPriL4A2EyYQDpMTXEvlj6KJ6i3gDJqUB0DBh6ja5IxgIcymXUO+HoQNuFOKMAhPBW4KBl9ZABm+eJRJ6Q3dJGu9TvuBp43U1QDwfIAfqTN0iwkzeZGH6xYixALRlyxacddZZWLx4MXr16gXXdVFTU4Pp06dj3rx56NtX7sRpyRJHdERpibgjC5sIkYQsghS22iR5d8Jg2hbkR65K+iZDGAavUZ2yJC0AqaJ84hjggmkKdM/jb6e1KQIBSFIG9e7kYCDla4CIv0U+QJLUDiKoHCx56r1V5udcEWciRBHe/ZCJK3OpAdLRHPOgnnuB10ag/ZsylaHuVvK+iH2A+DelToQYQgPU2cPgf/SjH6G2thYffvghduzYgZ07d+KDDz5AbW0tfvzjH+eijhYJMg2Q7scscrIDxKHBrDo135AfeS5MYNpO0MRxqkR3Kv8f2bl+vRLqY/hlCQYNQmzjdYgqYcN0DTdTeJ03rQHin0dqCHVrRZsf8iUA5f+a7LVyJwBl/k8R34XptYxMYCHnZKoo2LxCTSjaN1FaH7Fm0vvNLgMjjNJTdEe6UWB0HWjtU7FjrAF67rnnsHDhQuy7777+tnHjxuGPf/yjdYIuAPIoMN2Zr3yWzyNuHyBTROsBRSmHRKcZSpMOnedFkTHbtPNXmZxEx/DQ8wHi1EEhbOTah4W/RIp6wIqqAcrXQEhNMPKqAcr9db3nlI6kAQpuExURiw9QwU1gwf6C0tJKquf7ADGSjUhDrswEHRCApIcHjim0LKmD8ciRTqdRWloa2F5aWop0gQfFrggp3YfNAyQbUERF8FYDjwudksnOLooGSOwDFNzGdt6s4BXGn0WGlg9QjCYwXj4YOqGgXCDLRYenajPR3mSIesmSiuaKQlwTyI/mKesErV67TUSaIwGJnaCNivbR8SnLF+TVeavBy8Lgvd/sArykmwR9vEoAYibUGu9JMQmTOhiPHEceeSQuu+wyfPXVV/62DRs24PLLL8dRRx0Va+UsasooDRD9OFOaAmkYqT1uJ2hTSHu/Ku2/DBMTGCtgBgQvhQnMWAPEFYCMiiDOC6cBos5T1CcXA6lqkVzhYqghnJjpZ6W+RhxEeT+iUCgfIFP4ZmWRABSHBihUEbFBCWOcyiQk735WA5Tdnkq7Qg2QymeKvbpO2yQV/UWxYSwA3Xnnnairq8Pw4cMxatQo7L333hgxYgTq6urwhz/8IRd1tEiQmX92t4pXSCeRSe0iE0suTWA6/RjZp5ZGSGRicipr4mE7Fq4TdARTHa/tAz5a2lo+9TE8IUnmIA+w6vnoPR47GPOihnRMAskQM1HRdxDWudb8mjm7jOK6uRKAMv9HWaMrxfUB4h8b9joqoaNQcCMgJWuB+VFgzPpoon6nTeHHGdQ2q9umg8k/5j5AQ4cOxfLly7FgwQJ88skncF0X48aNw9FHH52L+lkUlBJaiGZG4Gls0RWAyL/1XlvVx5NryM4uSqcl8lvhCgMKExhPXU+ptGPQAAXqFMK8I0Llb8N3gjavCwXTZGTiRSB8GDyVCVq3jZh65AP6MvkbMshB0tQ0q0tWAxS+DG4YfMwmMNESKIWAvAevv6HkOom2PrsYarZfSqfFLgIqzRw7OTTNA5RLzWlchM4DdMwxx+CYY46Jsy6WEJBaiCYmZfxuTQFItRgqj9aYw+BN4QkbYRCuds/ZzA6KbMfC1wBl/zb2AYrpGEAv3F8Vcs4Pg4+3wytJOGghfivrJEqEGELDUQhfEF0H17jJRx4g7xJRvlWe9k2cByh6GHzUrNhRIe+BJ4zReYD4JjDymLQrNoGp3BiC5UsPzxzDWUKmmNF+3C+99BLGjRuH2trawL6amhrst99+ePnll2OtnEVNGeHgxmqAdE1gtE+FeB9JoX2A4rq8qPPn+gApNECqcsw1QDoqZ3PzDgk5ZiiTOnJNclqX1yZgAuP6QZBmAIEGiPIBMheA8uYEnSdfIxYqX0uONUBRzOW871yY0iG0CayItBac71HbCZpzTNp1KSsBicpHNBgFZqgB6gBGMG0B6LbbbsP3v/999OzZM7CvuroaP/jBD3DLLbfEWjmLGkoDxApA2iYw89lyLjVAOt2Yq3WUGnF0FO9YhQZIsRSGaRbcOPtiYwdGDnyn7Hg7OVbwUDtB88uhO+Lo9cgVKg1brkhGbB8dfA1QhE+V5wMkek/jcEssvAmMMO0rNUDMPk73knbFYfAqE1iYpTDCWBMKiXaP/O677+K4444T7p8xYwbefvvtWCpl0aeUEoAYE5iuBoj4W9fxrdA+QHHJXyZrgQVMYExUGLdFisQEJuqNVA6gKmEj7kHbdDkXcR6gaKalvJnA8uCMzIPKX5Wra8QRBcYNgxccG4OzeqFDt9MKjSylVQlo64PHp9KuMEpWpcUPJELUkBY6bR6gzZs3c/P/eJSUlGDr1q2xVMqiD6nebGoL5wRN0lESIcYVmSNeyFFuegE4eYB4IbsRsgvHawJTH6PUAGlEpZnCtphOG+klQoxm1shnSHohyMftec0edxh83Iuh0mVHLiIStAYouJ+OslJraNKui8yCqHzhSEaopTA6qwls8ODBeP/994X733vvPQwcODCWSln0icMERqI7WBR6KYw4OjvATOWtdILm+itk/86JBkizyLCrwdNlhL++LmQEi6hsHbNRVA1QvkwhbkzRjKbkY8kCfzHUCN+qiQ9QHH6BhQ6DJ5tKFXUZ9NEJlue1Pc8MpnaCVpfPkuvEqHGjLQAdf/zx+NWvfoWmpqbAvt27d+Oaa67BN7/5zVgrZ1FDDsIXHzGK2veTo0cbl+e9tIN7dQMAHDW2H7X/+AkDAAA/mDqS2v6zmWMz24+gt4dBR7tz8gGDAQDjBgZ90niMH5w57pT28zxItS4r0Pz3NLo92f2eBmhon0xbHT2uf+C61GAdMQy+V2VWA3v46D0BAOdNHqZVls6AbrKyvUfcJoPykgT69ywHIH62IqdQElI7F0YDlK9ooMqybCDunt3L8nNRAN1Kk/7fe8Rw3QumDAdAP7N8mcCOGJNZgPv89jqEwXv39x2g158UCkqjLNHQ9KnKPNNDR+4BAFxH6GP3GyC9Fttf6XxHMh+lYkQ7DP6Xv/wlHn/8cYwZMwY//OEPsc8++8BxHHz88cf44x//iFQqhV/84he5rKuFAynZHzd+AE6fNAQDelZgY00ThvapNC7P+4he/OkRqN3din49K6j9f/jW1/GLWU2+gOTxg6kjMWvCQAzpTW/PFfsNqsbrs4/yP3QVT1xyGLbXt2BANX0/ZKfRs6IECy4/wu8srjp2H5z29cE4+palAICqcvpz8QSihVccgZrGYFux5ZtqFcjOrl+Pciz+f9P83/dfcBC21DVjUC+99hblAiFrxBOASFmUHwavdXltHAd44fIjsHpLHfYVCUDM8TyqyrIDfJgq5ssElkw4eG/ODLhpoLwkqT6hSK97zQnj8N1vjMDrn2/H/3vsPQDxJELUMYH95YKDsLm2Sftb4PHeNTPQ1JpCdaXYzSMfqNqKyrzOLn1E/P3qz45EbVMr+vXI9EnkOHH1N8fhm/sPRH9Of0XCaqxNTWCF1qbpoC0A9e/fH6+++ir++7//G7Nnz/Zn6Y7j4Nhjj8Vdd92F/v2DM2BLbillVv4d0jsj9IQRfjJlZP6vKE2iojTYMSYTTkD4ATLvQdhrsuh2l6wwI6M0meAez+aL6U0IVA7RngDQgxWA2juV8pIk+vXkDyK0k7F2dQPn9utZTmkLSpIJow5fFLJPtrV6cUSFU2YMOI6D6m6lmDSsj1Y9RHUmhdUwWqp8OsP2rCjMoBvndb3vf/m6ncS2zP9RNEDcTNDMq5xMOJGEHyDzvrATnEKgEoDId18WMMD23+T337uyVCn8ALzFtZWnUM+m+MUfw0SIw4YNw7PPPoudO3di9erVcF0Xo0ePRu/evXNVP4sCUrUZh8Bd6CiIfGOSAqCiNImEk/U10MkDpFpsVJeoPik666WpQs55FOJ1oYRKkQaIGMzC1LGLfQaxwTM9RskZZuID1BlQNZVs7T1Z/09qgHUFPXZV+c4YBh9K5O3duzcOOuiguOtiCUFZRF8Hlo7w0sYJNWNROPk6DlBVVoK65jYAmqvQkx2WYduqQtRN0DOBmZcbt8Cs5fhN/i24fvcOpAHqTJD9kdeGUeIVeD5Ahc7Vk0tUbUWtLcgKKJI+gnwu3XUFIKbDMl0NviPogAqc+NsSlbKSYIcTha7W8as0QOw2cvako1UhT48SBh91vSZRMjSSMBqqqM7CrMO71utHPTP+IVXlhA9QiKbrat9BXPA00vGHwYcurgOg31aJhKO9Fl8psWKAvgYohAlMsz7FghWAOjj0jCt6eR3gnY0VOl9McD87n6kkBlYdDRB5vumgGuVcFp268mbWyhlpAd4YHQ1QFeEvFcYJt6t9B3HB+iQCfD8eXawJTA4tpOhpgMgAARlBE5uGGZ0ygRX/c7ICUAenlKNyjkJRzHzzmGKInkHxfGBoAYkMH9bRqlBaHEMbWBTtEYvWumUheoO4XxcdgcrUByhMQtBi+Aw6IuUcQTuuhYs9iqKPyhGmwrpuvivy+w/rA6TT7PnILxUnVgDq4JAq5zj6hWLoW+Ja50uHJCPgsNDzK4fqSPQWQyX/NtUAkQ7UuReAeBogVZULMRjRK6jzr09qvMIJQEXwIXRAeBOyuBdO7gimlbCYCoukH5Dut6gtALE+QIZ5gDqCoGoFoA4OqYWII3dJV+v46RmUXABwHHpg1TOBqQdr4bkxdiZCJ+iIWqZCDEbsM1ERJiO6JRyUT2KORpeOkF8mLKaiYpJjcuTRQiyeqGsCC5UHSOFSUGxYAaiDU1YSfoC1qMM2WYGQFDh1HJOjOUFn/86PE7T5NQohMJvOMhtb2nJYGwtJ3CZ5Hp26m4vgAyRrl1ZCACrRDPcMlQeogz0bKwB1cOi8G+HKKOyqXsWDTvORTp6mg7+xAERqj6KawErU56syQfOI2t+xxWv5GRhq1awGKH/EHZTBozOHwZv6AJVomsBa28x7+UAeIMOFijvCY7ICUAcn7jD4row6E7Jm7h/mHA/jpTAinMuiowEK8/4UxGRqaAJrsAJQ3iijfBJz82505n7O2ASmqQEiTWC6hPMB6lgWicLn/rZEQncGIKPYXtOYFno3RikAwdHK/cOe45cfYTX4yE7QOmHwITJBF8QHyPD6VgOUP0iNdK6+445mZjHBWAOk6wPUZi4ARTWBdQD5p7g1QHPmzIHjONS/AQPkK9guWbIEkyZNQkVFBUaOHIl77rknT7UtDHTejQJWpBOg/GAdPU0KCZ263rQ+8amTc+UDFHsmaON0++rjw8x+LeEgNUBREiDK6MyBGqZNphsG3xpGAxRxMdRC5Agzpeg1QPvttx8WLlzo/04mxR7sa9aswfHHH4/vf//7eOihh/DKK6/gkksuQd++fXHaaaflo7p5J2E4GHQECqUBUrWfgzAmsGyZ5qvBZ4kqaOiF7IcxgYWpTTTibBdLvJATsjCDrg6d+pkb9n1kGLys/wozCWAnRDrNTpvAjC+Zd4peACopKVFqfTzuuece7LXXXrjtttsAAPvuuy/eeust/P73v++0ApBpcj2LGJ0PVkeQIKEG6whRYFE7E5F2h5ylhYk0izoYhRF242wXS7yQA3KuNECd+ZnnKhFiawgTGCtQ6YXBk+cbXzLvFLUJDABWrVqFQYMGYcSIETjrrLPw+eefC4997bXXMGPGDGrbsccei7feegutra3C85qbm1FbW0v9yxW6Sah0KaNs7p0jnotcbiKf6HzgvSpLjcqM5AQdYxSYiPJSeR4pNhKEpUdFvO+zTnlUHiCJml0334mHqXBrCSJ7T+N6hW0eoCwlmlGp1d3M+i0epiaw4vMuDVLUX/whhxyCBx98EM8//zz+9Kc/YdOmTZgyZQq2b9/OPX7Tpk3o378/ta1///5oa2vDtm3bhNeZO3cuqqur/X9Dhw6N9T5I/ue4fTBxSDV+d9qEWMrbo3s5TjlgME7+2iD0qiyLpcxCceNp+2P/IdX42XFjC3J9Vb/qOA6+P3Ukvja0F345a1+tMikTmGnHTWk64u1MrpwxBgcN743/mpR919mB5bC998CRY/tJy/npjMz7PPfU6O/z+ME9ceNp+yuPI4UeWbM8/P1Dse/Anvj79w7Ruv6UUXti6pi+uGjqSK3jLXwumDIcR43thwmDqwEAj150KMYN7Il/XjzZuCzv3D+dd2Dc1SxKcqUB+t9zD8S4gT3x4HcODlu1TukEXdQmsJkzZ/p/T5gwAZMnT8aoUaPw17/+FVdccQX3HFYK9rQiMul49uzZVHm1tbU5E4L69azAUz/8Rqxl3nrm12Itr1CccdBQnHFQ7oRPJRo+QD0rSvHkpYeFKr6QJjCWHx45Gj88cjS1jdRQnX3IXvjtKRNw7f99KC2nb4/y2N7nf/3ocK3jqHaRNMzEob3w78v0ygQyg0mUAcKSYc6J+1G/Dxm5B541eA68c3c0tPjbOsLAGhZTJb7uUhgThlSHfgYepgEKHcFXq6gFIJaqqipMmDABq1at4u4fMGAANm3aRG3bsmULSkpKsMceewjLLS8vR3l5eax1tXQ81BqgaOUX0glaB9La5V2v2CM5OrE1xEJAG1bsQ/fQzQOUL+gosOKnqE1gLM3Nzfj4448xcOBA7v7JkydjwYIF1LYXXngBBx54IEpLo9tALZ0bdR6giOUba4DyG+Gn8vfJBWEWvu1os0xLdOho1wJWpMjQzQOULzqaCayoBaArr7wSS5YswZo1a/DGG2/g9NNPR21tLc4//3wAGdPVeeed5x9/8cUXY+3atbjiiivw8ccf4y9/+Qvuu+8+XHnllYW6BUsHItffaxQNUD78c8n6pX3Tce6vawqlDSjC+llygH3OXFSLOecbmwcoRr788kt861vfwrZt29C3b18ceuiheP311zFs2DAAwMaNG7Fu3Tr/+BEjRuDZZ5/F5Zdfjj/+8Y8YNGgQ7rjjjk4bAm+Jl1x3IOaJELN/59sElqMI5ljQjQKzdB7oZ27xKKHyAMVfvuOY+SV1tNXgi1oAmjdvnnT/Aw88ENh2xBFHYPny5TmqkaVToxEFFoWkoYnJdNHPqJCzyY6SUsH6AHUNrAmMj+5q8GFJOA5SBn2BNYFZLB0UpRN0xPKjaIDy0ZkkOCawYoSsWjGo/S25xzpB88m1Ccx0gtHRViawApDF0o6yA4n4PZt2UPk2gZVQGqD2OuT4mlHlLCsAdQ3yPRnoKCRyLACZCjEdLUu7FYAslnZ0VoPPZfmy6+WjMyFnk54PULEPNo7twboEVuvDJ5ljgSOSBqgDPDPbfVgs7eR6sDddty3fGiBythcmPD1fkDUr/i7WEge0Bsg+dQ/K6TgHX4Npv9PRNLJWALJY2lFqgPJtAqOund+OJV3EYWCkg3ZH63At4bCPmQ+lccnBaG6auoOXSqOYsQKQxdJOrjtZ07XA6IR/cddGThHLPxRWAOoaUOu/FbAexUYix1pi0yI7mkm6g1XXYskduc4EXexLYZB48k+uNU9hJonkOVb+6RpYJ2g+uouhhsU0e32CMqMXP1YAsljayfVaYJEWQ82zCsjPBJ3Xq+pB+idZDVDXoKOtMZUvcr0sTBSzfUfIJWYFIIvFJ7dRYOZ5gApnAusQ0zd0jFBbS3QK6Q9XzOQ68aDp99XRHo0VgCwdZazLObkeTKPM0PKt6ShmB0baBNbBelxLKKwJjE+S0owVPg8QSRF3IT5WALJgTP/uha5CUTBhcLV0f9SOd0jvytDnxiGcHbb3HgCAkX2rlMd6AtDe/Yrv3aAzQReuHpb84XQRE9h+g3oCACYOyfZFo/qKv8FErn2ADMsk1yarKi/qlbYAFPlaYJb8cPqkodjR0IpDRvYpdFUKwrM/PhyLVm7B9w4fkZPyH/zOwVi7vQGThvUOXUYcmo7bzzoAf399HU4/cIjyWC8K7NSvD8H2hhYcNLx43g0qD5BVB3Q9OvEz/8sFB2Hef9bjWwcP9bedOHEQNtc24cDhwf4jUWQ+QGUlCdx19tfR1JpCn6qy2OsTN1YAsiCZcPDf00YVuhoFY9ygnhjXPvOSEbZ/mTqmL4C+4U5uxzSEnsee3ctx2dGjtY71HBiTCQcXH1Fc70ZHcK60WMLQv2dF4BtNJBz8QPAN5t4HyLzQ4ycMjL8iOcKawCwWbQo388y3qaeYZYwirpolD3Re/Y85VCboXGiAOrmE0Mlvz2LpHFgnaIslQye2gBmT636hs6eZsAKQxaJJIfuCvC+FUczyTzHXzWLJI6bJVU2xApDFYgFQWNV7/pfCsFKGpTjp7IOyCbnuFzp7U1sByGLpANhOP0sxr1RvyT32S8iS6wzxnb3fsQKQxaJJIfuCzqoBChPRZZVTXZtOPiYbkXsfoJwWX3CsAGSxaJKLTKva1863D1A6r5ezWCwhKObs9R0BKwBZLB0AGwWWpXhrZskHhZyIFBu5NoF19kSjVgCyWDTpSiawIpZ/irpuljzQucdkI3IdBWa6gHNHo5PfnsUSHwWNAsuzBFTMjsbFXDeLJZ/YPEDRsAKQxaJJIdXB+TeB5ec6YS5jNUBdm849JJuR627BmsAsFkvB6axRYGEo3ppZ8kFn10qYYKPAomEFIIulA5DvTr+I5R9LF8fKP1niWCRZRmcXNq0AZLF0APLdDxX1iuvFXDeLJY/kPhFiTosvOFYAslg0KeRkKNczPZZiXgusiKtmyQOdXClhRO6XwujcjW0FIItFwdA+3QAAsyYMLFgdDtird16uc8SYvgCA8yYPy8v1fjB1JADg+AkDtM85bO89AQDlJbb76oocOKxPoatQNBw2KvMtlOXoWzj30Ew/cPCIztnmjlvUuu7CUFtbi+rqatTU1KBnz56Fro6lwDS2tGFjTRNG9e2e92vX7G5F7e5WDO1TmZfrtbSlsWZbA8b0756X2Z/ruli5uQ579+2OEoOkI2u3N6BPVRl6VJTmrG7Df/YMAKBnRQnem3Nszq5j0aNmdytqGlux1x75+RY6Cmu3N6B3VRl65uBbcF0Xq7bUY9gelSgvScZefi4wGb9L8lQni6XDUllWUhDhBwCqu5WiulvuBnmWspIE9hnQI2/XcxwHYweYTzKG7VGVg9pYipl8fwsdhVx+C47jYEz//PUH+cbqkC0Wi8VisXQ5rABksVgsFouly1HUAtDcuXNx0EEHoUePHujXrx9OPvlkrFy5UnrO4sWL4ThO4N8nn3ySp1pbLBaLxWIpdopaAFqyZAkuvfRSvP7661iwYAHa2towY8YMNDQ0KM9duXIlNm7c6P8bPXp0HmpssVgsFoulI1DUTtDPPfcc9fv+++9Hv3798Pbbb2Pq1KnSc/v164devXrlsHYWi8VisVg6KkWtAWKpqakBAPTpo85JcMABB2DgwIE46qijsGjRIumxzc3NqK2tpf5ZLBaLxWLpvHQYAch1XVxxxRX4xje+gfHjxwuPGzhwIO69917Mnz8fjz/+OPbZZx8cddRRWLp0qfCcuXPnorq62v83dOjQXNyCxWKxWCyWIqHDJEK89NJL8cwzz2DZsmUYMmSI0bknnHACHMfB008/zd3f3NyM5uZm/3dtbS2GDh1qEyFaLF0YmwjRYul4mCRC7BAaoB/96Ed4+umnsWjRImPhBwAOPfRQrFq1Sri/vLwcPXv2pP5ZLBaLxWLpvBS1E7TruvjRj36EJ554AosXL8aIESNClfPOO+9g4MDCreNksVgsFouluChqAejSSy/Fww8/jKeeego9evTApk2bAADV1dXo1i2zQOXs2bOxYcMGPPjggwCA2267DcOHD8d+++2HlpYWPPTQQ5g/fz7mz59fsPuwWCwWi8VSXBS1AHT33XcDAKZNm0Ztv//++3HBBRcAADZu3Ih169b5+1paWnDllVdiw4YN6NatG/bbbz8888wzOP744/NVbYvFYrFYLEVOh3GCzid2NXiLxWKdoC2Wjkenc4K2WCwWi8ViiRMrAFksFouEitJkoatgsVhygBWALBaLhcM950zCsD0q8efzDyx0VSwWSw4oaidoi8ViKRTHjR+A48YPKHQ1LBZLjrAaIIvFYrFYLF0OKwBZLBaLxWLpclgByGKxWCwWS5fDCkAWi8VisVi6HFYAslgsFovF0uWwApDFYrFYLJYuhxWALBaLxWKxdDmsAGSxWCwWi6XLYQUgi8VisVgsXQ4rAFksFovFYulyWAHIYrFYLBZLl8MKQBaLxWKxWLocVgCyWCwWi8XS5bACkMVisVgsli5HSaErUIy4rgsAqK2tLXBNLBaLxWKx6OKN2944LsMKQBzq6uoAAEOHDi1wTSwWi8VisZhSV1eH6upq6TGOqyMmdTHS6TS++uor9OjRA47jxFp2bW0thg4divXr16Nnz56xlm2x7ZtrbPvmHtvGucW2b24pdPu6rou6ujoMGjQIiYTcy8dqgDgkEgkMGTIkp9fo2bOn/fhyiG3f3GLbN/fYNs4ttn1zSyHbV6X58bBO0BaLxWKxWLocVgCyWCwWi8XS5bACUJ4pLy/HNddcg/Ly8kJXpVNi2ze32PbNPbaNc4tt39zSkdrXOkFbLBaLxWLpclgNkMVisVgsli6HFYAsFovFYrF0OawAZLFYLBaLpcthBSCLxWKxWCxdDisA5ZG77roLI0aMQEVFBSZNmoSXX3650FXqECxduhQnnHACBg0aBMdx8OSTT1L7XdfFnDlzMGjQIHTr1g3Tpk3Dhx9+SB3T3NyMH/3oR9hzzz1RVVWFE088EV9++WUe76J4mTt3Lg466CD06NED/fr1w8knn4yVK1dSx9g2Ds/dd9+N/fff308MN3nyZPz73//299u2jZe5c+fCcRz85Cc/8bfZNo7GnDlz4DgO9W/AgAH+/g7bvq4lL8ybN88tLS11//SnP7kfffSRe9lll7lVVVXu2rVrC121oufZZ591f/GLX7jz5893AbhPPPEEtf+GG25we/To4c6fP999//333TPPPNMdOHCgW1tb6x9z8cUXu4MHD3YXLFjgLl++3J0+fbo7ceJEt62tLc93U3wce+yx7v333+9+8MEH7ooVK9xZs2a5e+21l1tfX+8fY9s4PE8//bT7zDPPuCtXrnRXrlzp/vznP3dLS0vdDz74wHVd27Zx8p///McdPny4u//++7uXXXaZv922cTSuueYad7/99nM3btzo/9uyZYu/v6O2rxWA8sTBBx/sXnzxxdS2sWPHuj/72c8KVKOOCSsApdNpd8CAAe4NN9zgb2tqanKrq6vde+65x3Vd1921a5dbWlrqzps3zz9mw4YNbiKRcJ977rm81b2jsGXLFheAu2TJEtd1bRvngt69e7t//vOfbdvGSF1dnTt69Gh3wYIF7hFHHOELQLaNo3PNNde4EydO5O7ryO1rTWB5oKWlBW+//TZmzJhBbZ8xYwZeffXVAtWqc7BmzRps2rSJatvy8nIcccQRftu+/fbbaG1tpY4ZNGgQxo8fb9ufQ01NDQCgT58+AGwbx0kqlcK8efPQ0NCAyZMn27aNkUsvvRSzZs3C0UcfTW23bRwPq1atwqBBgzBixAicddZZ+PzzzwF07Pa1i6HmgW3btiGVSqF///7U9v79+2PTpk0FqlXnwGs/XtuuXbvWP6asrAy9e/cOHGPbn8Z1XVxxxRX4xje+gfHjxwOwbRwH77//PiZPnoympiZ0794dTzzxBMaNG+d3/rZtozFv3jwsX74cb775ZmCffX+jc8ghh+DBBx/EmDFjsHnzZlx33XWYMmUKPvzwww7dvlYAyiOO41C/XdcNbLOEI0zb2vYP8sMf/hDvvfceli1b9v/bu9eYps44DOBPC9Rq0RomWlQGqJm7iMrFKCQTp4lshn0xi4sXhoJL0DlxmdmieMEQYC7SoG5Dh0uL6JKRyJa5GAdTYHOLcWBRsJ06EeVDM2bYvICiLf99MJ55rBCBMmR9fslJ2nPe8/Y9/7TwcM55i8c21rj3Jk+ejLq6Ovz99984dOgQUlJSUF1drWxnbXuvubkZGRkZKC8vh16v77Ida9x7r732mvI4MjIScXFxmDhxIoqLizFr1iwAg7O+vAT2Hxg1ahT8/Pw8km5LS4tHaqaeeTATobvamkwm3L17F3/99VeXbQh499138e2336KyshLjx49X1rPGfafT6TBp0iTExsYiLy8P06ZNw86dO1lbL6itrUVLSwtiYmLg7+8Pf39/VFdXY9euXfD391dqxBp7j8FgQGRkJC5evDio38MMQP8BnU6HmJgYVFRUqNZXVFQgPj5+gEb1/xAREQGTyaSq7d27d1FdXa3UNiYmBgEBAao2TqcTDQ0NrD/u/xW2Zs0alJWV4fjx44iIiFBtZ429T0TQ0dHB2nrBvHnzUF9fj7q6OmWJjY3F0qVLUVdXhwkTJrDGXtbR0QGHw4GQkJDB/R4eiDuvfdGDafBffPGF2O12WbdunRgMBmlqahrooT31bt68KTabTWw2mwAQs9ksNptN+QqBjz76SIxGo5SVlUl9fb0sXrz4sVMwx48fLz/88IOcPn1a5s6dO+BTMJ8Wq1atEqPRKFVVVappru3t7Uob1rj3NmzYID/++KNcvnxZzp49Kxs3bhStVivl5eUiwtr2h4dngYmwxn31/vvvS1VVlTQ2NsrJkyclKSlJhg8frvz+Gqz1ZQD6D3366acSFhYmOp1OoqOjlWnG1L3KykoB4LGkpKSIyP1pmFu3bhWTySRDhgyR2bNnS319vaqP27dvy5o1ayQoKEiGDh0qSUlJcvXq1QE4mqfP42oLQCwWi9KGNe691NRU5XMfHBws8+bNU8KPCGvbHx4NQKxx3zz4Xp+AgAAZO3asLFy4UM6dO6dsH6z11YiIDMy5JyIiIqKBwXuAiIiIyOcwABEREZHPYQAiIiIin8MARERERD6HAYiIiIh8DgMQERER+RwGICIiIvI5DEBERETkcxiAiIi6MWfOHKxbt65PfTQ1NUGj0aCurs4rYyKivmMAIqJeW758OTQajcfy+++/e6V/q9WKkSNHeqWv3iorK0N2dvaAjoGIvM9/oAdARIPbq6++CovFoloXHBw8QKPp2r179xAQENDj/YKCgvphNEQ00HgGiIj6ZMiQITCZTKrFz88PAHD48GHExMRAr9djwoQJ2LZtG1wul7Kv2WxGZGQkDAYDQkNDsXr1aty6dQsAUFVVhRUrVuD69evKmaWsrCwAgEajwTfffKMax8iRI2G1WgH8e8mptLQUc+bMgV6vx4EDBwAAFosFL7zwAvR6PZ5//nl89tln3R7fo5fAwsPDkZubi9TUVAwfPhzPPvssPv/8c9U+p06dQlRUFPR6PWJjY2Gz2Tz6tdvtWLBgAQIDAzFmzBgkJyfj2rVryrHrdDr89NNPSvv8/HyMGjUKTqez2/ES0ZNhACKifvH9999j2bJlWLt2Lex2O/bu3Qur1YqcnByljVarxa5du9DQ0IDi4mIcP34cH3zwAQAgPj4eBQUFGDFiBJxOJ5xOJ9avX9+jMXz44YdYu3YtHA4HEhMTUVRUhMzMTOTk5MDhcCA3NxebN29GcXFxj/rNz89Xgs3q1auxatUq/PbbbwCAtrY2JCUlYfLkyaitrUVWVpbHuJ1OJxISEjB9+nTU1NTg6NGj+OOPP7Bo0SIA/4au5ORkXL9+HWfOnEFmZiaKiooQEhLSo7ESURcG9H/RE9GglpKSIn5+fmIwGJTljTfeEBGRl19+WXJzc1XtS0pKJCQkpMv+SktL5ZlnnlGeWywWMRqNHu0AyNdff61aZzQaxWKxiIjI5cuXBYAUFBSo2oSGhsqXX36pWpednS1xcXFdjikhIUEyMjKU52FhYbJs2TLleWdnp4wePVoKCwtFRGTv3r0SFBQkbW1tSpvCwkIBIDabTURENm/eLPPnz1e9TnNzswCQ8+fPi4hIR0eHREVFyaJFi+Sll16SlStXdjlGIuo53gNERH3yyiuvoLCwUHluMBgAALW1tfj1119VZ3zcbjfu3LmD9vZ2DBs2DJWVlcjNzYXdbseNGzfgcrlw584dtLW1Kf30RWxsrPL4zz//RHNzM9LS0vD2228r610uF4xGY4/6nTp1qvJYo9HAZDKhpaUFAOBwODBt2jQMGzZMaRMXF6fav7a2FpWVlQgMDPTo+9KlS3juueeg0+lw4MABTJ06FWFhYSgoKOjRGImoewxARNQnBoMBkyZN8ljf2dmJbdu2YeHChR7b9Ho9rly5ggULFiA9PR3Z2dkICgrCiRMnkJaWhnv37nX7mhqNBiKiWve4fR4OUZ2dnQCAoqIizJw5U9XuwT1LT+rRm6k1Go3S/6PjepzOzk68/vrr2L59u8e2hy9x/fLLLwCA1tZWtLa2eiUUEtF9DEBE1C+io6Nx/vz5x4YjAKipqYHL5UJ+fj602vu3I5aWlqra6HQ6uN1uj32Dg4NVNwNfvHgR7e3t3Y5nzJgxGDduHBobG7F06dKeHs4Te/HFF1FSUoLbt29j6NChAICTJ0+q2kRHR+PQoUMIDw+Hv//jfwxfunQJ7733HoqKilBaWoq33noLx44dU2pFRH3DTxIR9YstW7Zg//79yMrKwrlz5+BwOPDVV19h06ZNAICJEyfC5XJh9+7daGxsRElJCfbs2aPqIzw8HLdu3cKxY8dw7do1JeTMnTsXn3zyCU6fPo2amhqkp6c/0RT3rKws5OXlYefOnbhw4QLq6+thsVhgNpu9dtxLliyBVqtFWloa7HY7jhw5gh07dqjavPPOO2htbcXixYtx6tQpNDY2ory8HKmpqXC73XC73UhOTsb8+fOxYsUKWCwWNDQ0ID8/32vjJPJ1DEBE1C8SExPx3XffoaKiAjNmzMCsWbNgNpsRFhYGAJg+fTrMZjO2b9+OKVOm4ODBg8jLy1P1ER8fj/T0dLz55psIDg7Gxx9/DOD+LKzQ0FDMnj0bS5Yswfr161X33HRl5cqV2LdvH6xWKyIjI5GQkACr1YqIiAivHXdgYCAOHz4Mu92OqKgoZGZmelzqGjt2LH7++We43W4kJiZiypQpyMjIgNFohFarRU5ODpqampTp9SaTCfv27cOmTZv4bdJEXqKRJ7lgTURERPQ/wjNARERE5HMYgIiIiMjnMAARERGRz2EAIiIiIp/DAEREREQ+hwGIiIiIfA4DEBEREfkcBiAiIiLyOQxARERE5HMYgIiIiMjnMAARERGRz/kHC+GyPuK2M4wAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#show reasonably even sampling across features. \n",
"plt.plot(X.sum(0))\n",
"plt.xlabel('Feature index')\n",
"plt.ylabel('Count of observed instances')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Create some outputs\n",
"This is a linear model, so we can just create some coefficients for each of the features, take the dot product with the feature matrix, and add an intercept. "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"coeffs = np.random.normal(0,1, nfeats)\n",
"intercept = np.random.uniform(-10, 10)\n",
"\n",
"y = X.dot(coeffs)+intercept"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Sample at increasing minibatch size\n",
"We want to see what happens when minibatch sizes get larger, beyond simply getting a better model due to better stochastic sampling. If there is a fault in the minibatching, then we would expect that the model won't generalize beyond the minibatch size."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"5\n"
]
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/ljmartin/miniforge3/envs/compchem/lib/python3.11/site-packages/pymc/pytensorf.py:845: UserWarning: RNG Variable RandomGeneratorSharedVariable(<Generator(PCG64) at 0x31A16D9A0>) has multiple clients. This is likely an inconsistent random graph.\n",
" warnings.warn(\n"
]
},
{
"data": {
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"/Users/ljmartin/miniforge3/envs/compchem/lib/python3.11/site-packages/pymc/backends/arviz.py:61: UserWarning: Could not extract data from symbolic observation y\n",
" warnings.warn(f\"Could not extract data from symbolic observation {obs}\")\n"
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"/Users/ljmartin/miniforge3/envs/compchem/lib/python3.11/site-packages/pymc/pytensorf.py:845: UserWarning: RNG Variable RandomGeneratorSharedVariable(<Generator(PCG64) at 0x32334B300>) has multiple clients. This is likely an inconsistent random graph.\n",
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" warnings.warn(f\"Could not extract data from symbolic observation {obs}\")\n"
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"/Users/ljmartin/miniforge3/envs/compchem/lib/python3.11/site-packages/pymc/pytensorf.py:845: UserWarning: RNG Variable RandomGeneratorSharedVariable(<Generator(PCG64) at 0x329BD4E40>) has multiple clients. This is likely an inconsistent random graph.\n",
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" "
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"/Users/ljmartin/miniforge3/envs/compchem/lib/python3.11/site-packages/pymc/pytensorf.py:845: UserWarning: RNG Variable RandomGeneratorSharedVariable(<Generator(PCG64) at 0x322FEC3C0>) has multiple clients. This is likely an inconsistent random graph.\n",
" warnings.warn(\n"
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"/Users/ljmartin/miniforge3/envs/compchem/lib/python3.11/site-packages/pymc/backends/arviz.py:61: UserWarning: Could not extract data from symbolic observation y\n",
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"text": [
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},
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"/Users/ljmartin/miniforge3/envs/compchem/lib/python3.11/site-packages/pymc/pytensorf.py:845: UserWarning: RNG Variable RandomGeneratorSharedVariable(<Generator(PCG64) at 0x31CC82420>) has multiple clients. This is likely an inconsistent random graph.\n",
" warnings.warn(\n"
]
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"data": {
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" progress {\n",
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" background-size: auto;\n",
" }\n",
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"/Users/ljmartin/miniforge3/envs/compchem/lib/python3.11/site-packages/pymc/backends/arviz.py:61: UserWarning: Could not extract data from symbolic observation y\n",
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"name": "stdout",
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"text": [
"50\n"
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},
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"name": "stderr",
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"/Users/ljmartin/miniforge3/envs/compchem/lib/python3.11/site-packages/pymc/pytensorf.py:845: UserWarning: RNG Variable RandomGeneratorSharedVariable(<Generator(PCG64) at 0x32334B3E0>) has multiple clients. This is likely an inconsistent random graph.\n",
" warnings.warn(\n"
]
},
{
"data": {
"text/html": [
"\n",
"<style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" progress:not([value]), progress:not([value])::-webkit-progress-bar {\n",
" background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
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" warnings.warn(f\"Could not extract data from symbolic observation {obs}\")\n"
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],
"source": [
"errs = []\n",
"batch_sizes = [5, 10, 20, 30, 40, 50]\n",
"for bsize in batch_sizes:\n",
" print(bsize)\n",
" minibatch_x, minibatch_y = pm.Minibatch(X, y, batch_size=bsize, )\n",
"\n",
" with pm.Model() as model:\n",
" sigma = pm.HalfCauchy(\"sigma\", beta=3)\n",
" weights = pm.Normal(\"W\", 0, sigma=sigma, shape=512)\n",
" bias = pm.Normal(\"b\", 0, 1)\n",
" y_pred = (weights*minibatch_x).sum(1) + bias\n",
" likelihood = pm.Normal(\"y\", \n",
" mu=y_pred, \n",
" sigma=sigma, \n",
" observed=minibatch_y, \n",
" total_size=len(y)\n",
" )\n",
" \n",
" mean_field = pm.fit(100_000)\n",
"\n",
" #draw from posterior to get a range of values for the weights and \n",
" #bias, with which to make new predictions\n",
" mean_field_samples = mean_field.sample(draws=5000)\n",
" w_samples = mean_field_samples['posterior']['W'][0].values\n",
" b_samples = mean_field_samples['posterior']['b'][0].values\n",
"\n",
" ps = []\n",
" for i in range(1000):\n",
" idx = np.random.choice(w_samples.shape[0])\n",
" w_ = w_samples[idx]\n",
" b_ = b_samples[idx]\n",
" p = w_.dot(X.T) + b_\n",
" ps.append(p)\n",
" ps = np.array(ps)\n",
"\n",
" #take the mean prediction to calculate the error.\n",
" err = ps.mean(0)-y\n",
" errs.append(err)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# plot the absolute "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'Absolute error')"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"for err, batch_size in zip(errs, batch_sizes):\n",
" plt.plot(np.abs(err)[np.abs(err).argsort()], label=batch_size)\n",
"plt.ylim(0, 0.5)\n",
"plt.xlim(0,100)\n",
"for c, batch_size in enumerate(batch_sizes):\n",
" plt.axvline(batch_size, c=f'C{c}', linestyle='--')\n",
"plt.legend()\n",
"\n",
"plt.xlabel('Instances (ordered by error)')\n",
"plt.ylabel('Absolute error')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Finally, look at what happens to the learned coefficients\n",
"\n",
"When we have a small batch size, it's obvious that some of the coefficients aren't being touched. Their posteriors are pretty much equal to the priors. \n",
"\n",
"If we bump up the batch size a bit, it's clear that we've sampled more of the features - not due to minibatching, but just because we took a larger sample once and kept it forever more. The posteriors are now different from the priors. \n",
"\n",
"Note that, in the second case, we actually sample for a smaller number of steps (to try and keep the number of evaluations equal). So it's not true that just increasing the batch size gives us more evaluations. "
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/ljmartin/miniforge3/envs/compchem/lib/python3.11/site-packages/pymc/pytensorf.py:845: UserWarning: RNG Variable RandomGeneratorSharedVariable(<Generator(PCG64) at 0x32C23FA00>) has multiple clients. This is likely an inconsistent random graph.\n",
" warnings.warn(\n"
]
},
{
"data": {
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"\n",
"<style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" progress:not([value]), progress:not([value])::-webkit-progress-bar {\n",
" background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
" }\n",
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"metadata": {},
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{
"data": {
"text/html": [
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" 100.00% [200000/200000 00:39&lt;00:00 Average Loss = -2.0009]\n",
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" "
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{
"name": "stderr",
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"text": [
"Finished [100%]: Average Loss = -2.0009\n",
"/Users/ljmartin/miniforge3/envs/compchem/lib/python3.11/site-packages/pymc/backends/arviz.py:61: UserWarning: Could not extract data from symbolic observation y\n",
" warnings.warn(f\"Could not extract data from symbolic observation {obs}\")\n"
]
},
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",
"text/plain": [
"<Figure size 1000x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"minibatch_x, minibatch_y = pm.Minibatch(X, y, batch_size=20,)\n",
"\n",
"with pm.Model() as model:\n",
" sigma = pm.HalfCauchy(\"sigma\", beta=3)\n",
" weights = pm.Normal(\"W\", 0, sigma=sigma, shape=512)\n",
" bias = pm.Normal(\"b\", 0, 1)\n",
" y_pred = (weights*minibatch_x).sum(1) + bias\n",
" likelihood = pm.Normal(\"y\", \n",
" mu=y_pred, \n",
" sigma=sigma, \n",
" observed=minibatch_y, \n",
" total_size=len(y)\n",
" )\n",
" \n",
" mean_field = pm.fit(200_000)\n",
"mean_field_samples = mean_field.sample(draws=5000)\n",
"\n",
"\n",
"plt.figure(figsize=(10, 5))\n",
"seaborn.boxplot(\n",
" np.concatenate(mean_field_samples['posterior']['W'])[:, :30]\n",
")\n",
"plt.xlabel('Categorical variable index')\n",
"plt.ylabel('Posterior distribution of learned weights')\n",
"\n",
"#plot actual cooefficients:\n",
"plt.plot(coeffs[:30], '-o', label='Actual coefficients')\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/ljmartin/miniforge3/envs/compchem/lib/python3.11/site-packages/pymc/pytensorf.py:845: UserWarning: RNG Variable RandomGeneratorSharedVariable(<Generator(PCG64) at 0x32C2889E0>) has multiple clients. This is likely an inconsistent random graph.\n",
" warnings.warn(\n"
]
},
{
"data": {
"text/html": [
"\n",
"<style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" progress:not([value]), progress:not([value])::-webkit-progress-bar {\n",
" background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
"</style>\n"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <progress value='20000' class='' max='20000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [20000/20000 00:11&lt;00:00 Average Loss = 403.16]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Finished [100%]: Average Loss = 403.06\n",
"/Users/ljmartin/miniforge3/envs/compchem/lib/python3.11/site-packages/pymc/backends/arviz.py:61: UserWarning: Could not extract data from symbolic observation y\n",
" warnings.warn(f\"Could not extract data from symbolic observation {obs}\")\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x32c18ded0>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
"text/plain": [
"<Figure size 1000x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"minibatch_x, minibatch_y = pm.Minibatch(X, y, batch_size=200,)\n",
"\n",
"with pm.Model() as model:\n",
" sigma = pm.HalfCauchy(\"sigma\", beta=3)\n",
" weights = pm.Normal(\"W\", 0, sigma=sigma, shape=512)\n",
" bias = pm.Normal(\"b\", 0, 1)\n",
" y_pred = (weights*minibatch_x).sum(1) + bias\n",
" likelihood = pm.Normal(\"y\", \n",
" mu=y_pred, \n",
" sigma=sigma, \n",
" observed=minibatch_y, \n",
" total_size=len(y)\n",
" )\n",
" \n",
" mean_field = pm.fit(20_000)\n",
"mean_field_samples = mean_field.sample(draws=5000)\n",
"\n",
"\n",
"plt.figure(figsize=(10, 5))\n",
"seaborn.boxplot(\n",
" np.concatenate(mean_field_samples['posterior']['W'])[:, :30]\n",
")\n",
"plt.xlabel('Categorical variable index')\n",
"plt.ylabel('Posterior distribution of learned weights')\n",
"\n",
"#plot actual cooefficients:\n",
"plt.plot(coeffs[:30], '-o', label='Actual coefficients')\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "compchem",
"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": "3.11.8"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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