346 lines
334 KiB
Plaintext
346 lines
334 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 1,
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"id": "1b99095f",
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"id": "ecdb61f5",
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"metadata": {},
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"outputs": [],
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"source": [
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"def neuron(X, b=2, W=[-0.3,1]):\n",
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" N = X.shape[1]\n",
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" net = np.zeros(N)\n",
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" \n",
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" # b = 2 # Bias ... ergibt sich aus Aktivierungsschwelle\n",
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" for n in range(0,N):\n",
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" for j in range(0,X.shape[0]):\n",
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" # print(X.shape[0],\"N \", n, \"J \", j)\n",
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" net[n]+= X[j,n] * W[j]\n",
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" \n",
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" # b verwenden ...\n",
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" return net > b # threshold ...."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 23,
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"id": "2d574c72",
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"metadata": {},
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"outputs": [],
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"source": [
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"# 1a)\n",
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"iris = np.loadtxt(\"../supplement_files/iris.csv\",delimiter=',')\n",
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"\n",
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"X=iris[:,:2].T # nur die ersten 2 Merkmale anschauen und in Spaltenvektoren umwandeln\n",
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"T=iris[:,-1]"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"id": "d21f1852",
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"metadata": {},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 600x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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IIYSQhEAIIYQQSEIghBBCCCQhEEIIIQSSEAghhBACSQiEEEIIgSQEQgghhEASAiGEEEIgCYEQQgghkIRACCGEEEhCIIQQQggkIRBCCCEEkhAIIYQQAkkIhBBCCIEkBEIIIYRAEgIhhBBCIAmBEEIIIZCEQAghhBBIQiCEEEIIJCEQQgghBJIQCCGEEAJJCIQQQgiBJARCCCGEQBICIYQQQiAJgRBCCCGQhEAIIYQQHEZC8Nlnn5GWlsZNN90UsN1///tf0tLSqv316tXrULsVQgghRD1wHMqdNm3axH333UdiYiK5ubkB2xYWFtKiRQsmTZpUeZ2uy4EJIYQQoimpc0Lg9Xq59NJLefrpp/niiy9s3cflcpGWllbn4IQQQgjRMOr8U/2BBx6gY8eOXHHFFbbvs2bNGnr06MGxxx7LTTfdRHZ2dl27FUIIIUQ9qtMRgh9//JGJEyeybNky2/eJjo7moYce4pRTTiE/P5/HHnuMAQMGsHLlSpKSkmq8j9vtxu12V14uLCysS5hCCCGEqCPbCcHOnTu55ppr+Pzzz4mPj7fdwZ133ommaZWXv/32Wzp06MDrr7/OQw89VON9nnnmGR577DHbfQghhBDi8NhOCObPn09ubi6XX3555XW5ublomkZaWhrz58+vcZxA1WQA/EcMevfuzZo1a2rt68EHH+See+6pvFxYWEh6errdUIUQQghRR7YTglNOOYUtW7ZUu+7qq68mLCyMN998k1atWtnajmVZZGRk0Lt371rbhIWFERYWZjc0IYQQQhwm24MKw8PDD6onEB4eTkREBGlpaRiGAcCLL75Yrc7AnXfeyebNmwEoKyvjr3/9K9u3b+eqq64K8UMRQgghxKE6pDoEgRQWFpKVlVV5+YQTTuDMM88kKyuL8vJyevfuzdSpUxk4cGCouxaiSdGURafipXQqXobD8pDvSmFF3IkUulIaOzQhhDiIppRSh3rnijEEiYmJldcVFhZSXFxM69atq7UtKioiPDwcp9NZ534KCwuJi4vj4dlvEx4deajhCtFgWpVt4tzM/xDny8XEABQaoKFYFj+Cqa2uwdJCno8LIcRByotLefzEGygoKCA2NrbWdof1jVTTtMHY2NgaO4yJiTmcroRoNlLKtzE+40kM5QPAwKx2e5/83wgzS/k27Q44YNCtEEI0FqkhLESInbTrUwzlQ8eq8XYdRY+iP0kvXdvAkQkhRO0kIRAihOI8u+lYsqLWZKCCiU7/vF8bKCohhAhOEgIhQqiFext2TgIYWLQq21Tv8QghhF2SEAgRQspWOlBBxg8IIZoOSQiECKFd4e1tJQUmOtsjuzZAREIIYY8kBEKEUJEziQ3Rx2IF+WgZWCxOOLmBohJCiOAkIRAixGa0vAyPHoZZy8dLAUvjR5Id0blhAxNCiAAkIRAixPaGteLj9o+yN8xfnMvEwMTAQsPE4I/E0/mp1XVSg0AI0aRIqTQh6sGe8DTe6fgsaWXr6Vi8DKflocCZzKq44ylzSJEuIUTTIwmBEPVF09ge2Y3tkd0aOxIhhAhKThkIIYQQQhICIYQQQkhCIIQQQggkIRBCCCEEkhAIIYQQAkkIhBBCCIEkBEIIIYRA6hAIcZBEdzap5RkoNHZGdCDPldrYIQkhRL2ThECIfVLLtjB618e0LV1X7fqMyF78knoFe8LTGykyIYSof3LKQAggrXQdV2Q8SlrphoNua1u6hqu2PELLsi2NEJkQQjQMSQjEUU9TJudsfwVdmehYB92uY+FQXs7JehWUaoQIhRCi/klCII56nYuWEOPLQ6f2nb2ORaJnJ+1KVzdgZEII0XAkIRBHvQ4lKzAxgrYzMWhfvKIBIhJCiIYnCYE46jmUt17aCiFEcyIJgTjq5TtboAU4XVBBxyLf1bIBIhJCiIYnCYE46q2IPxFsJASmZrAq7rj6D0gIIRqBJATiqFfkTGJxwskotFrbKOCPpNMpN6IbLjAhhGhAUphINGkus4wkTzaaUuSGtcJtRNVLP7+mXoHLKqdPwWxMdIx90w8r/r04YQyzUi6ol76FEKIpkIRANElR3jxO2PMNx+TPwrlvIJ9Pc7Aq9jh+TzmPAldKSPtTmsH3bf7C4sQxHLt3Gq3LN6LQyIroyuLE0ewObx/S/oQQoqmRhEA0OXGeHK7IeJQoX2G1QkEO5eOYgjl0KV7MhPYPkxvWJuR974joxI42nUK+XSGEaOpkDIFocs7e/gqRByQDFXQswsxSzs98SaoGCiFECElCIJqU1LLNtCnfVHkOvyYGFkmeHVI1UAghQkgSAtGkdClajGnjbWli0LVoYQNEJIQQRwdJCEST4rLKIMD0v/0ULrO8vsMRQoijhgwqFE1KsSMBLcDpggoaUORMqP+AhBCimbp3xlcAFJZ7edxGe0kIRJOyKu44Ru7+PGg7HYuVcSc0QERCCNE8VCQAh0oSAtGkFDsTWR4/gj75v9W6HLGFzvqY/uwNa93A0QkhRNNxuAnAgSQhEE3Oz6lXEe3Lp3PxUiz0yumHFho6iszIrkxpc3MjRxlamrKIMItQ6JQZ0aDZGUchhDjahDoJqOqQE4Ly8nIWLlxIcnIy3bt3D9p+586dZGZm0rFjR5KSkg61W3EUMHUXE9PvpUvRIgbs/YVW5ZvQlGJXeDsWJY5lXewgLO3IyGUjfEUM3DuV/nm/EmkWAZDnbMGixLEsSRiNT3c1coRCiMZWn0lAVYf8rXrHHXfw7rvvcu655zJx4sRa21mWxc0338yHH35Ip06d2LRpE/feey9PPfXUoXYtjgJK01kfO4j1sYMaO5R6E+vJ4fKMJ4jx5VUrwhTv3c3oXZ/Qo2Aen7d7EI8R0YhRCiEaQ0MlAVUdUkLw5ZdfsnDhQkaPHh207euvv84XX3zB0qVL6d69O/PmzWPEiBEMGDCA884771C6F6L5U4oLM58n+oBkAComXSpalW/hlB3vMinttsaIUAjRwBojCaiqznUItmzZwp133sknn3yCyxX8cOZ7773HhRdeWHlaYdiwYYwePZr33nuv7tEKcYRoV7KKFu7tASsy6lj0KJxPtHdvA0YmhGhI9874qvKvsdXpCIHP5+PSSy/loYceokePHkHbm6bJihUruOGGG6pdP3jwYN55551a7+d2u3G73ZWXCwsL6xKmEE1ej8L51ZZZDqR74Z8sTDqlAaISQjSEprDzr0mdEoJ//OMfJCcnc8stt9hqX1RUhNfrPWgQYVJSEnv31v6r55lnnuGxxx6rS2hCNCsRZnGNizcdSKETYRY3QERCiPrUVJOAqmwnBAsXLuQ///kPn376KXPmzAEgLy8Pl8vFnDlzGDRoEGFhYdXu43Q6Af+MhKrKysoCnm548MEHueeeeyovFxYWkp6ebjdUIZq8MiMay8YRAg3LPw1RCNHsNIckoCrbCUFZWRkDBw7kxRdfrLxuzZo16LrOAw88wMSJE0lNTa12n6ioKJKSksjKyqp2fVZWFm3btq21r7CwsIOSCyGOJKvjhnFs/gxbbdfGDqnnaIQQh6u57fxrYjshOPHEEyuPDFQ444wzCA8PrzbtcNu2bWRnZzN06FAAxowZw+TJk3nggQcA/7iC77//nrPPPjsU8QvRLG2L7MmusLYkBxhYaKGxOu44imXNBiGapCMhCagq5NVd3nvvPV5++WXy8/MB+Oc//8ngwYO56aabOOOMM/j4448pKiri3nvvDXXXQjQfmsbEtvcyPuMJYr251co0V/wrO6IzP7W6tnHiE0LU6EhLAqo6rISgV69eB40FaNu2LcOGDau83LNnT+bNm8eLL77Iyy+/TJcuXZg/fz5t2rQ5nK6FqJNe+XM4IecrEry7Af96CFsje/JL6pXsDW+c92KhM5n3Oz7FgL0/03/vr0SbBQDkuVJZmDiWpfEnYUqlQiEa3ZGcBFSlKaVqXkGmCSksLCQuLo6HZ79NeHRkY4cjmpnzt71A1+LFKCqK/lBt2aRv29zK2rjjGiGyKpRFhFmCpem49UhZy0CIRnYkJQGF5V5S/j6ZgoICYmNja213ZBSEF6IWI3d9RtfixcD+ZKDqvxVwTtb/eD2iMwWuFg0dXpWAdMocMY3XvxDiiEoCDoUkBOKINnDv1GpHBg6k4U8KTt45ga/a3lNLKyHEkepoTwKqkoRAHLE6FS3Gqby22nYsXlbP0QghmgpJAmomCYE4YiW7s4I3wn+UwMBXv8EIIRqVJAHBSUIgjliljtoHzxxI1X2dLyFEEydJQN1IQiCOWKtih3Fa9ttoqFrHEIB/DMGu8HYNFZYQoh7Izv/wSUIgjliW7mJL1DF0LFlea5uK6YczWlzSMEEJIUJGkoDQkoRAHNEmpt/NrRvuImpf0Z+qRwoqkoEl8aPZGt27wWMTQtSdJAH1RxIC0eBal6zjjOy3SfDuRENhobM9shvftL6NMld8SPuydBf/6/Iy525/lc7FS9CqrBtQrkcxJ+VcFiadGtI+K8R4czk2bzqdixbjVG7ynKksTTiJDTH9UZpRL30K0ZTsLdnNnxnTWL97GV7TQ0p0awa3H0XXlv3QNfvjdu6d8RVFysun3kxGeLex23KToodxqTOd8c62xGrOenwURw+pVCga1Bnb/0fvwrmVlyvqAFT8f0rqjaxMHFE/nVs+uhQvIcIsYXdYGjsjO9dPP8Ax+b9xWvY7AOj7khALHR2LXWFt+aLd/ZQ44uutfyEa27zNPzNlxUegaSjl/wxomo5SFmkJnbh66H1Eumpf2rvqkYCF5l7OLJlLHh6AarVF4nAyKfJ4hjgS6+uhNHt2KxXK0GrRYI7b/VVlMqCx/wNd9TD+GTvfIrlsa/0EoDvYEDuI5Qkj6zUZ6Fy0mNOz30LDqkwGYH9ikOzezsVbn0NXMtVRHJmWbZ/H5BUfolCVyQBQ+e/s/C18OP/fWKr6Sp/3zviq8q/CVquUU0vmUIAHxf5TfRX/LsLL6aVz2GKV1O+DOgrIKQPRYI7fMwkIXjXw7Kz/8W7nfzVUWKGlFMN3f4lCq7aCYVUGFi3d2+hatIi1sUMaOEAh6pelLH5e80XQNpl5G9mYs5I3V20I2PYVz0ZKMDFrud0EyjD5r2cjL4X3PbSgBSBHCEQDaVOyFgNfwOl/FVI89goKNUUt3Ftp6d5WazJQwUKnX970BopKiIazNXcdeaU5Qds50ChY8HHANj5l8YEnAzPI58mH4kNPBt4DjjiIupGEQDSIdiWrbCUDzX2Nv3hP8C9C8J8+SPDsrOdohGh4e0t322rnQ7HBKg7YJl95KbJZRbQEk1zlsdVW1EwSAtEg3MbRMRjUV4fRzj7NVY+RCNE4nIb993UEgWfbhNdxNk54HWYuiIPJsycaxNL4kdUGBNVGUbedalOTFdkVr434LXQ2xhzbABEJ0bD+tXYzho1jfTpwqjM1YJtozcFAPSHojkoHjtXjiZck+7DIoELRIEwjgjxnCxK8gQ8nasDS+JMaJqh64DYiWRE/nH55M6rNMDiQhmJpwqgGjEyI+nFQoSA9nAscbZjoywp47l9H41pn+6Dbvz2sM1eVLQjYxgJuc3WyEa0IRBIC0WA+avcot2+8DR3roN8PFfOKi4x4fm11VSNEFzozW1xM25I1JHp2HpQUVDzOX1KvJM8V+NeREE1VsGqBz4f34Y+SvWSqsoOSgorP/hvh/WmlRwTt6yJHGj86dvCFb3uN6YUGnO9ow2XOtvaCF7WShEA0mDJXHK90foXrt/ydKLPgoKQgO6wDH7Z/rM7bbVW2iT75s4jx7sGrh7Mxpj9rYwZj6vsP3RuWl+5Ff9K5aDEuq5xCZxLL40ewIyL0vyrcRhQfdXiUUbs+pXfBHBxV6g3sdaUyq8VFMt1QNDt1KRncQg9nTtRJ3F++nC982/FV2ZX31GN5IqwXpztb2dqWrmm8FzGIXp44XvZsqDZwMBEnd4R14T5XN3StuQ9JbnxSqVA0qJZlW7gw8wVifHlY+M/9Vfx/e0RnJqbfS5nNZYvDzBLO3f5fOpSsxETHwMLaN/+/xIjh6/S72R7ZjTal6zg/8yWizKLK2yvab4nqxTdpd+I2ourl8YabJaSXrsFheSlwJpMd0Rnki0s0E6FYNyDHcjPX3IMHRUc9iv56PNohfgY8ymKWmUOu8pCouRhhpOCSgYRB2a1UKAmBaDAJ7p1cs+UhnJa7xvPrJjq5YW34sMPj+PTAg4N05WN8xpO0LttU47YsNEzNweTWN3Nm9usYyldjbQALneyITnzS/iEsTQ6YCSGLBx157CYE8g0oGszxe76pNRkAfwW/FHcmvQp+Z1lC4IGFXYsWkVZWe4UzHQXKZOzODzCUWWuhIB2LtLINUjVQHNUkCRAgCYFoIGFmCT0L5gUceQ+g0Biw9+egCUH/vb9UHv6vjY5FlFkYdAKUhUb/vT9LQiCOKpIEiANJQiAaRIJnN0at1cj301EkebKDtktxZwYtDwz2Kh/qKFq4t9toKUTzJkmACEQSAtEgrDoM/FE26mXZaVMXltToEkcoSQKEXZIQiAaR62pNuR5JuFUasJ2FTmZkt6Db2xrVg26FCzCCnoIIfpTARGdrVI+gfQrRXEgSIA6FJASiQZi6kyUJoxiS+0PAcQQ6FosSxwbd3uKEMfQs/CNgGwudXFcqiZ6dARMHA4vFCWOC9ilEUyQ7fxEqkhCIBjMv+Sy6FC0i0bOrxqRAAWtih7Ixul/QbWVGdmdx/CiOzZ9e4xEAC50iZwLfpN3JxZn/ItqbV2NSoPCXSs6M7F7nxyNEY5EkQNQHSQiaIU1ZdCpeStuSNehY5LpasTruuCaxomCkr4BeBXOJ8+bg05xsju7DtsieoGm4jSgmtH+EU3e8Q9eiRQD7ZgpYmJqThYljmdniYrAz3kDTmNrqGkqc8QzZ8z1O5cZCR0Oho9gS1ZvvW99IiTOBD9s/xunZb9GpZDkWGmpfn17NxR9JZzAn5VwpFiSaJK/pYUXWH+woyGDA9o0MNBI4x9Ea6rgKoBB2SGGiZqZtyWrOzHqNWF8e5r6lQ3VMfJqT2Snn80fSGY2yc9OUyUm7Pmfg3qloWJWD/gxMcl2t+CbtDnLC99caj/Xk0KV4CS6zjGJnPOtjBh1yQuO0yulWuIAY7168ehibYvrVuE5AgmcnnYqW4rTcFDkTWRc7CK8efmgPWIh6tnjbbH5e8g6F+HDuOw7mRZGAk1cjjuUCZ1ojRyiaC6lUeARKK13HZRlPoWHVOuVudsp5zEk5v2EDU4rTst+iT8GsWg/fe3UXH3R4gr1hrRs2NiGamXtnfMVHnq3cUL4oYLtPIgZLUiBskUqFRxqlGLfjvYDJAMAJOd+wPH4Ehc7kBgutddlG+hbMqvV2HQun5WHUrk+Y2PZvDRaXEM1F1TEBJcrH3eVLg97n9rIlnOVoLbX8RchIQtBMtC7baKt4jkKjX950ZrW4qAGi8uuf92vlYkG10bHoXLyMWO+eBk1WhGiqahsY+IU3k2IbRbz24uVbXxYXOdNDHZo4SklC0Ey0Kt+MQkMLUp1Px6J12aYGisqvTemGoPUAADQULcsyJCEQRy07swMWmnk40fAG+aw70Vho5klCIEJGEoJmQlPKVpGdxhAsSRHiaHYoUwTtfqLkkydCSRKCZmJnRAdbtfstdHaGd2iAiPbLjuhErHePraqBu8PbNUxQQjSCUNQH6GfE8543I2g7L4pj9fjD7k+ICpIQNBPbI7qS62pFgmdnwMRAw2JJwqgGjAwWJ5xMr8J5AdtY6GyJ6k2BK6WBohKiYYS6SNAlznTuK19BWZBxBPE4Oc/ZJqR9i6ObJATNxb5CPJdsfRYLak0K5iedSYGrRYOGtj2yG6tih9GzcH6Npw8sdHyagxktL23QuISoL/VZKTBWc/Kv8GO4PchMgxfD+xIuBYpECElC0IxsjerFl23/yplZrxNpFlUWJqooBDQv+SxmN3QNAgBNY0qbv+DWI+mXP63aTTpQ5Ew8qDBRSvlWBuf+SLhZSoEzmTkp51DuOGB+rFK0Kt+8b5CkYld4e7ZHdK3fwktKkVa2npblGYDGjvCOZEd0kkqGokHLBd/o6gjA/fuOFBhoaPhPE0Rj8HJ4P8a72gbeiBB1VOeEYO3atUyZMoU9e/bQtWtXLrroIqKjo2ttP3XqVCZPnlztusjISP71r3/VPVrB5ui+vNL1VboVLiC9dC26MskNa83KuBMpc8Q0WlyW0gk3i9HwD3ysOE6gAIflxto3HDLWk8P4jKeI8+VU3lcDBuZNZVtEdz5t9yDoDtqUrmfcjvdp6d6G2ndfDUWuqxVTU69ma3TvkD+GdsUrGbvzQ5I92dX63BXWlqmtriErsmvI+xRNW2OuGXCjqyOXOtP53JvJEjMfDY2BRgIXOdOI0uS3nAi9OlUq/Pe//80XX3zBmDFjiI2N5ZtvvmHnzp3MmzePNm1qPpf15JNP8u6773LvvfdWXhcWFsYNN9xgO0ipVNj0XbblCdqVra3xNoW/PsJn6fdx0fYXcShvjbMlFJDnbMkPra7n0m3P1liEydqXckxMv5dNMf1CFn/HoqVcmPkC7FsL4cA+FTqftXuQTFkm+YgnCweJI029lC7esGEDXbp0qbzsdrtp06YN9913H/fdd1+N93nyySeZMmUK8+fPr0P41UlC0LR1KVzIBdtfCthGASYODHxBp06W6xG4rPJax0lYaJQbUbzS9X9YIfilpCsft6+/lXCzJGCfRY5EXuvysr3Fl0SzIkmAOJLVS+niqskAQFlZGV6vl6SkpID327VrFw8++CDh4eEMHjyYU089tS7diiZueM7EoDUSNLCVDCgg3CoL2EZHEWkW073wT1bHHVe3YGvQrXABkWZx0D7jfLl0Kl4e0iMTovFIEiBEdXX+ebVjxw6eeuopSkpKmDt3LrfccgtXXXVVwPu0adOGyMhI8vPzueyyyxg+fDjffPMNul7zLy23243b7a68XFhYWNcwRQNKcmfbKphkt42dAkwmBumla0KSELQtXYOJgRFkmldFn5IQNF+SBAhRuzonBGFhYXTv3p38/HxWrFjB9OnTueOOO2jVqlWN7a+66ioeeuihysvXX389/fr148MPP+Saa66p8T7PPPMMjz32WF1DE42mceqlGSp4vXc7dGVi9zGEqk/RMCQBEMK+w1r+2Ov10q9fP0444QTefPNN2/c77rjj6NGjB++++26Nt9d0hCA9PV3GEDRRt6+7mSizMCRllSvejMG2ZaExs8Ul/JF8xmH3OXjP95y0+7OglSAV8FOr61jawIWfhH2SAAhxsAZZ/tjpdNKvXz/Wr19fp/u53W58Pl+tt4eFhREWFnY4oYkGtDhhDMP3BP4irrqrDT6OQEcLWgZZZ0X8ifYCDGJl/AmM3P0FBDll4NNcrI4dFpI+RehIEiBEaNRpuPTPP/9c7XJOTg4zZsxgwIABldf98MMP1WYcTJ06tdp9pk2bxpIlSxg3btyhxCuaoHnJZ1GuR9T6+7ri+qVxI6tdrqmdicHc5LMC9qeA+clnUOqIq3uwNSh1xDE/+YygJw1mp5yHx4gISZ/i8Nw746vKPyFEaNTpCMGECRO4//776dOnD2VlZfzyyy8MGTKEf/7zn5Vt/vzzT956663KwkOff/459913H/369WPPnj1MmzaNu+66i0svlTK2hyPcLKZ12SZ/YSJXa/LCUg95Ww6rnL55M4kyC8h3pLA8fjjo9t8alu7gnY7Pct3mvxNhlVQOCqy6g/09+Wxmt7iIHRGdOHWn/1RR1XYa4NOcfNz+EXaFt8fSDE7M+RrF/jLNFho6ij8TT2NWygV1fpzhvmL65M8k3CphjyvN/2t/38DWWSkXYCgfQ3K/R6Gj7ztCYaGjoZiTci5/JB3+6YmGUF7kJHNlEj63QVLbIlp0PPRBuZayyNy7gRJPEZGuGNomdkGvYdplqaeY7XmbMJVJSnRrkqMP/f1YG9n5C1G/6jyGYP369fz55584nU569epF797VK8b9+eefLFu2rFrhoYr7REZG0r9/f9q3b1+nIKUOwX6RvgJG7vqcXoVzcaj9p122RXZnZouL61RNT7d8XJD5Ah1KVlQ7f26hszp2KJNb31y5w7TjhJ3/x7C9k3FUOdyvgBxnGz5v/yAlzgR05WPErv9jYN7UavGX6tFMa3kpKxNGApDg2cnJOz6iU8myylMMCtga2YNfUq9mT3ia7bjCfcVctO1ftC7fVO10hQ8HCxPHMCP18srr4j276Jc3ndSyLaBBdkRnlsafRGEzWJSptMDFz6/2ZfHkDvjc+xO69GP2MObWZXQessv2tixlMW/zVGZt/J6i8rzK62PCEzix8+kc13EcuqZTVF7A1NWfs2z7XMwqr2f7pO6M63ER7ZK6HdZjkiRAiMNXL4WJGoskBH7R3jyu3PIIMb68yl+wFfw1/TQmpt/DZhvT4nTLx80b7yLGl3fQOf2KX+w7wtvzQcenbMV2Wtab9CmYBRw8RkDh//X/ZqfnOW3HO7QvWXnQAL6KPmelnM/a2MFcueUxnFb5QUsq+xdKcvJJ+4fYGdExaFzhvmJu2XAnLlVe6+NcFz2Ar9veY+txNlWl+S7euHosudujUWb1JE7TLUDj4md+p8/YbUG3pZTi66XvsGjbzFrb9G87nDHdL+TN2Y9SWJ6Hpaq/Tho6mgZXDLmXbi371fnxSCIgROjYTQik5FozcsqOd4muIRkA0LHQsDgn6xVcZuDCPgCn73irxmQA9u/QW5VncFzON0G31aZkXa3JQMV1DuXlqi0P06GGZKDq/YbnfMUF257HVUMyAP7H6VBeztv+MpoKPPAQ4ILMF2pMBqr22bV4EV0KFwTdVlM25fn+7K0hGQBQlo5S8OVDwyjeG3yw7orsPwImAwCLt83i4z9eqDEZAFBYWErx2YL/4vYGfz+CjAsQorFJQtBMxHl207l4SY07yQo6CpdVTq+C3wNvzLLoXvBH0D4VMDB3atB2o3Z9CgSvVBhtFhBsvr+FTqI3p8akp4KORZw3l47FywJuy+UrJa1sva3pkCNyJtpo1TQV7w1j+U/tsWpIBiopDcvUWfRtp6Dbm7vpJ7QgXw0aGtkFGTUmA1U6xWO6WbJ9Tq0tJAkQoumQhKCZ6FCywlY7hUan4iUB26SWb8Zho4ywBkRaRWDVPkXUv70M21UIg7XTsWyVCDIx6FS8NGCbHoXzbceV5M6y0bJp2rygZeBkYB9lwerfal6ErILbW8a2vA2ooNM+7Z9pXLdrabXLkgQI0TTJGprNhNPyoNDQgnwR+48SeAK2CbdxSqGCBrgsN54Asw6C1QyoHwqH8gZsEWaV2t5asOe1KfOW2/0Ya3jLArf1WoGf00Ph8bll5y9EMyBHCJqJAmdy0Ep6ACY6+UFGxOeEp9ne/SnA44gK2Majh4dsd2p3OxpQ6AyyqFZ4e9t9+jSnzZ6bnvjWgRdmqqAZFolpgdtGOCNxGq5QhAWAA43hhfYTMyFE45GEoJnYFN2PMiPwjhnAwGJZ/MiAbUqcCRQ4koPufBWwPaJLkFawMu4EW6sYWvjHCARup6FsHOjXsFgeNzxgm63RvXFr9pKVdTGDbLRqmjoM2E1cyxKCpVPK1Bl07qaAbQzdwYC2I2qsNVCVrukYevAkyofiamf7oO2EEI1PEoJmwtSdzEk+L2AbC52MyJ5k2diJT295GRC4aiDAL6lXBt3WzJYX48MRcHekAatij98XZ807fBOdUiOWJfGjAm7LQmN53HBbtQHmJp8NBH6cCp1pqeODbqup0nUYc8tyAo3Q0A2LNj1z6XLcjqDbO77TqTh0J1ot29PQMHQH9zkCT/s00BhhJDPMSAzapxCi8UlC0IwsTBzH3CR/WV+zyktX8as7K6IzX6ffBVrwX9jr4obwW8qFQMVOkYP+Pbn1zeyyMdffp4fzUYdHMPcNSam6863Y3uqYIUxJu4Vv0u7A0oxqRwqsfWfwyxwxfNbu7/zS6ipWxJ1w0OOs+PeGmAFMbXVt0LgA5qecxdL4UbXGZaHzWbsHKHXE29peU9X/rC2Mu8M/mFQ39o/p8NcggJad87nqlZnoRvDjJUlRLbl62P24HOEHJQU6EI3Bj2FDeSSsJ/e7/IWHHFXaGfv+PdhI4P8ih6LZeD/Wpy1WMd95s5jm243PaozxLkI0D1KYqBlqUZ5B/72/+uf0K5OcsDSWJI5mY/SxKM2o07aSyzMZvXMCbcvWoisTU3OwKbov01peXufqfGnFazl9x5skeHdX7h58moNlcSP4pdVV/tiUYtDenxi2ZxJRpr+krgL2uFozreV4tlQUVVKKtLL19N/7C2llG0ApdkR0ZHHCyWyN6mUr6akWW8laTtr9Oa3KNqNh4dXCWBs7mOktL6XcUXuhjuZm16ZY/viyC+t/b43PY5DcrpAhF26g58jtGM66fdRLPUUs2jaL7WumsEd5SNZcXOZsy1XOdiTp/noGe9w6Z23NZ1HSHHCW++9oaaTm9uPt2O6MTXEH6KF+fenJ5H73CrJUeeV1DjROM1L5OGIQ4XUozy1EcyaVCkWD6li8jPMzX0RTVrVaCRVvrk1Rffkq/W7G7vyQY/NnVK5LUKFizYDvW9/AivgRDRy9OJCdWQHZZQa9stdQmrQaNKv6GQvTAb5w3vWey+WtS+ov0Fo8617LI+7Vtd6ejIsN0acQKUmBOAo0yPLHQgBE+Ao5L/NldGUeNBOiYh/RqWQ5523/D1321Ug4sF1F/YHTst9mR3inOq1VIEKjrlMDT95cSGmbNaDXcBje8IFWxvW+nzjLO5zYOh6dOBxrzcKAyQDAHjycXvo7M6Il+RSigiQE4rD1zZ+JobwBp0VqKDoVL61cP6DmNv7xBAPyfmFqq2vqI1RxgEOtD7C60Mmm1tNAN2tvpJuoqBz+sSWCV7o23NTD+8qX22o318ol3/IQr4dumqUQzZkkBOKw9SyYZ6uwj506CgYWPQrmSUJQj0JRJOjlHQ5IDVzBEgBLZ5K5jVdIPuw+7Zpl7rHd9m3vFv4WdngrMgpxpJCEQBy2cKvUVolgu1yW/UqKwp5QVwrMNU1Qun/sQCC6RalRAg2YEHjqUCZrt2q8QY9CNDWSEIjDVuSIJ8aba+sIgB2lR9Co/8ZUn+WC0x2OmscOHMg0iPPF11scNYlAp5gApzKq6KAFL/YlxNFCEgJx2FbED6dN2caAbRRg4kDHF7D4hYXOcpllUGcNvVbAA23dvF4cCa4gYwMMk6vCWwMNN9PgTEdrPvNlBm1nANc7O9R/QEI0E1KYSBy2VXHHU2LEBSxLrAHLEk4Kkgxo+DQnSxJGhzzGI1FjrhqYGm4ybNcpoAKcLDIdhO3tyoPtGnba4b/Cj7H1xXaeIw2XLl+BQlSQT0NDUgqH5UFXNgZj2aArHw7LA4FKSVgW4b5CHFZ57W0Ok1cP5/N2D1BuRB1UlriiuuD8pNP5OfUqfml5RbXrK8NEx6c5+bLtXykKsmjR0eye6V/xl5+mcPe0rxs7FH7qBulZ/iqQWFUKYikNlIajuA2/xA3AUeUmy1LsceuU+gKPOrGUokT5sA6hTEoLPZzPI4YEHNfSX4/no/CB1a4z9/UZrDSLW5mUq8CnJJSCEncYphWar1i3MnEH6VOIwyWnDBpAuFlM/72/0j/vV2J8eQBkh3dkYdIprI4dhgqykExVmrLoWTiPgbk/0bp8MwBFjgQWJ5zM4sSTKTeiAX8FwnE7PiCtbF3luX23FsHShJFMb3EJhLggS054Wz5t+yBjd35Ietl6NBQKKNejWJg0jrnJ54CmsTDpFLIiuzBg71S6Fy7AqTyUGtEsix/J4oST61wd8Whw74yvWL0znVdmnU78ok8p94bh0H2c22c+tw3/nqHt1zdKXOEOWNstjke2XME71jryUxaDbuIoaMdpxUN5uYNFmwj/oL3VhU5uz/Txe+JsVFQOADG7+nMNPXmmY2ll0vCnby+veDbytS8LH4pwdC51pnO7qzO9jDjbsZ3tbMNS/WTuKl/Gb2ZOZamsloRxR1gX/hrWtbLtbN8eXvFsZIpvByaKSAyucLbjNlcnuhoxAJQrk4+8W3nNs4k1VhEAnbQobnZ14lpXe6I0/+cpY28Kr80+jff/GE1heRS6ZjGm2xJuG/4DY7svrdPzW6p8vOfJ4DXPJjYp/1GW7noMt7g6cZWzHeF1rEoqRDBSqbCexXl2c3nGE0T78qqt41dRqW99dH++Sb8TSwu+g9aVj3Mz/0PX4sXVKv356/JrFDkS+aT9QyS7t3NB5osHrRtYUQMgz5nCW52exwphUtCybAuXbn2aMKscvUqlQgsdHYtFCSfzc+rVB5ccVhbUISE6WlQ9DfDd8sFc9tG9gIavyi9xh+7DtAxePPddbjnxx0aIsjrLUlhKq3ZEAOD73RGcb/6MithbvW6BZYBu0i7zZFZ2j+M9cyN3lS/DQMNXZYBqxToJEyIGc66zzSHF5rP8J7T0A04RPO9exz/cq3DU0KeBxsTIYQwzEjmtdA4LTH8yX9Gq4p3cU4/l58gTWb+1D2e++U/KfC7MKq+ToZuYlsFfR33Dk6dPsFV1O9dyM650Niut/eW9q/Y5UE/gh6gTiG3Gy3aLhiOli5sATVncsOlvxHt2VyvnW5VC48/EU5luY7W9UTs/YfDeH2ud82+hk+9MId67C43aCwApYGtkTz5r/w97DyQIl1nKzRvvJtwsrZYMHOiXllewMOmUkPR5JKppLMCanWkMfP4FTEtHBTjD9+NfHmVU1xX1Gd4hKfRqtNw9DytyFxi1HPJWGn1zTmRZi1m1bkfDv2jSgqjR9DRCMwtlkjebC8vmB+wzDJ0RRgq/mrsxa/ncGWgMoSUrn9lEsScMS9X+y/3tS17lysEzgsZ2WskcZpo5Afs8w5HK/0UOC7otIewmBPLTrB51Kl5KkmdnrckA+Cv49c/7FZcZeLS2yyylf94vAQsA6VgkenehE2ghXP9t7UpX4/KFZrBX74LfiTCLAyYDChiaOwVNyWpzVQUbGPi/OacBBEwGDN3kxRln10t8h+ufW8KxYrJrTwYANMWypLkBv4wq3vX/82wKWWz/9qwL2qcXxVRzV607ZgATxVx2UpSwNmAyoGHxr2nnBhzyA7DCLGBagASkos9Jvh1ssooDb0yIOpCEoB71KpgbcOR9Bafy0KVoccA2XYoW41TeoNuqunxxIBowZO8PNloGd0z+bFv9xfjySCtdF5I+m6uqCUCw2QFKwScLRuCzAp/aMS2DX9f1I7ckOpShhsSX1hawM7DO8AVIJ/18KD7xbgs66M+OrVYpf5p5QfsMtFOuxjJQx3wasIlCZ0NOG5Zntw/Y7nNvZrXlpGujo/F/3u324hPCBhlUWI+ifPkBfzVXsNCI3LcUcG0izcKDVgisSV0qBsZ6c+vQunZRZoHtfoM9ziPRoU4L9JgOSr3httoqNPaUxJIU1bR+MZa48uwVMLKpDJMyTCIP86trT6grFCpg32DJYHYXBx4caTc2Ham0KEJLEoJ6VGZE29yJK8qNwBXTyo0oW+sFHDj4KJASh/1R24GU6VHEssdWn+X6kV8ZLlR1AVyGjzCHB7fP3uI78RENv8xwMOG+GMotDfTQDFVyoRPB4Y+ujw/5YDwNyhJttUyICJy0xdmMzQISkUGFInTklEE9Whs7xFY5XwuDjdH9A7bZGN0fy8YXod1f6gr4M+k0m60DWxV3vK2eS41oMqO6h6TPpqY+igRpGlzQdy4OPXDdCkMzOa7DalrGFISs71A53eoMmo1kwNKDvoMcaFzgaINmZ5h+EB21KHrrsUG/AA27nyjDh776/CCNLNLic+iftjlgqwscadVmPNTGRHG+U5YJF6EjCUE9Whc7iEJHQsBxBBYay+NPpMwRE3BbZY4YlsefeFDhn+rb0ilyxAOBxxEoYEd4R0pDdIRgRfxwPHpYwNgUsCDxFFvTK5uLhqgUeNvw7zFV4I+pqQzuGjm53mI4HM+296KVJ1YvXHQgS6dj7qCgu0ATxa1hnUISl6Zp3OPqauOEHgzVEwMmBg40eqkkHDsGoQXcosbdIyehBzlaMshIYKCeELBPA42RRkrIZlwIAZIQ1CtLc/B/be/DrUcclBRU1A7IjujMtNQrbG1vWuoVZEd0RtVw8sBCx61H8EXb+/mh1Q2VfRzcJ5Tp0XwSoimH4E9WJqbfg6k5aqhA6I91Xcwg5iWfFbI+G0tDlwvun76Z/13wJhoKh159pL6h+S//fcyXnH3Mnw0ST121CDd503s6eCPAPCAZtPwVDRN3DeaPtmk85PIfPTowdTDQ0IBXw49loGHvsLwdlznTucPpTzAO/CJ0oKED70cMZGLkMDrpUTV+WRpopGrhfBsziM+vegGHYR30Oun7XqfLB87klhOC14vQNI0vIofQRouoMSkw0OigRfFxxCA7D1MI26QOQQOI9e5hSO739Mn7Dde+QUAFzmQWJo5lUcIYTN3eOWIAw/Iwaten9MmfVbktC42MqN781OoaClwtAWhXvJIxOz8k2ZNd+ZViYrA+ZgBT2tyET/cPVovx5nJs3jR6Fswl3CylxBHLivjhLIsfSVnFqoOmyZjdH9E3/zcc+2Y6WOhsiu7Lt21uxTQiAEhyb2fInu/pVTgXx77yzDmuNixIOoXl8SPrVJGxKWmMtQIONHtTT16ccRY/rhmA2nfE4MSOq7hz5CTO7L2wkaML7sccFzcXr2ZHworK8QSaO4oRBcfzTfsYIh3+66Z4d/AfzwZmmXv8bYBTjFTuCevCcEfdqlhmFEZwxbJUFrSYjorLAF8E8Zkn8UBcC+7uuRUApRRf+7L4j2cjf5h7AX9ycLajNXe7ujLE4U9A9vrcjNu7muVhGftPgSjo5mnLlPhjaOsMA2BZVntenHE2E5ceVzk7pG+bzdwxfArjB/5mqyhRhVzLzX88G3nLs5k8/J+7FM3Fjc6O3BHWmXjN/veGOLpJYaImyLA8RPvysTSDIkdC3Sv0KcXJuyYwaO9PmGgY+44BVAxc3BHeni/aPlDt9EO4r5BkdxZePYxdYe2hSqW2LkULOWf7K+jKqpwNUXHkwquH80Xb+9gZ1p471t9MuCqvrHRY0U7b1/dbHZ8lL3z/uUynVU6UrxCv5qTEEX9wdcImrikkALXJL4sktySGuPBSkqOLGjscW3ZYZZxaOoc1VhE6VB5Ur6gO+KCrG4+E9aw2NiDXcpOPlyTNdUg7vokZqYznJ0jY7F9boeIwvekAw0e3pXewfHj1KXs5lptCvKRoYdUqABZ4Fe1y51AWmUNNHwJneRxrYk8iPXz/Z6vYHc7u4jiiXOWHPbbDqyyylX8tkjZaOI5mmliLxiMJwRFoyJ7JjNr9ea23W+hkRXRmQvuHg+6EW5Zt4aotj6Bj1nim0kLDq4fh0cKIDjCt0L+sscG/e35k+3E0RU05CWjOTKUYUjKN1VZRwDn9r4T340ZXx5D0mVPmJG3XQojbCkbtAzJHL/8bP5wQvNBRatYi8qK3Biz9GVHWkvzU4w8xYiHql1QqPMIYlofj9kwK2EbHIr1sPemla4Nub9ieSXDAWgfVt6VwWuUBkwHwf0c6MBmS813QPpuaxlw++Gjxo28nK6zCoAV+nnKvxReiKpaXL2oLiZsCJgMojWltvsE0A8f1W6EVOBkA/4zDyF18nBOaVUyFaCySEDQTnYuXEG4FLm8M/mWF++T/FrBNmFlKt6KFAUsqg/03hwKGhqjqYX2TJKBhfejNsDV1b6cqZ4Zpr7BPMLPj5gevjqgpSNrIYysDz1q4K3+rvU4VPFp+dFfhFM2fJATNRKx3b8BpfRUMLOKCVCCM8hXYqqAI9usaOK2mXzFNkoCGt9UqtV3+d7tVFpI+zdhM29URV5YE/grMMexX1sx3NI8xHULU5siZFH6E8+phtioVWmi49cDlbj16mO1+q46hCtxv08wtJQloXDF1qDsRpR1+BUIAzRNldwUCYoOEFxZkHYmqnJZUDRTNmyQEzcSm6L74d83ByyBvjAlc9bDYkcDusHSS3dsDVlK0sHcISQO2RfWw0bJ+yc6/6TnT0Zq5Zm7Q41FONEYbLULSZ9rOE8lMWQt6gBUWATxRPNo9K2CTK4yOPKPZOBWgwRmqcx2iFKLpaZo/68RBipxJrI8ZELTqoVuPYHVckDXSNY0/k04NWlZZZ39hodpUFDua1ObmwH3WExkT0LRd6WpHGIHLEhtoXOJIJ6kOR64C+U97QOmBc2fLIHndhbSPDXya4p8tw9C84cFLf5oOXkuVqoGieZOEoBn5qdW1FDhTakwKLHQszeDr9LvxBjllALAi7kRWxJ1Q43LJFZd/Tz6biWl3V7uupnZzE8/EYzTc0ruSBDQfiZqLCRFDMNBqXInDQKObHsPzEX1C1ufp6bs5efVdgFbz4ELLQN95LL8fE3w5ccPQedsa699WgA/B055xuBzNq96GEAeSOgSHKcqXT9+8GXQsXoFDedgT1ppl8SeRGdl9fy0ApWhdtpF+edNJcW/H0gwyonqzNOEkipxJdeovwlfEiTkTOSZ/Fi7l8W8e2BzVl1ktLmRnRAf7G1MWQ/dM4vg931VuC/yrF05veQnLE0YB0LZoORdsfxmXcleryWJiML3lpSxKOrVye+1LVtM3fwYJnl149TA2RvdjefzIoGs1BHO4O/+80ig+XjCSKasGUVgeSfvE3Vw5eDrjui/FqOPyvOUeB09MvZgJC0dSUB5JmMPLyd2W8a+zPqRN/N7KdnuKY/jgz1H8tHoAJZ4wOiXv5Jqh0zip84qg9ewPVOzVeGRLBF9YGRQ784jwxXCq6siz7b20CN9/aHynVc773gx+8e2iTJl002O4ztWBE4ykysI/lqX4ICuKFwr3kB2eha4c9HF34NnWYQxJqJ/BofN8uTzuXs30KjMJonFwras9/wzrUVkIKNMs4fKyBSy08jBRONE4yWjBB+GDSDT2FyjaktuCd+eNYdamXphKp2/rLdxw3M8cm7alss3NCzvxXtz30HL1/kC84aSsvYh5fXykx/iL/RQpL596M/nGm0W+8pKmR3CFsy2nO1pVFgH6Ls/kmvI/KYncUa0wUURZC15yDOGa5LqNH8hXHj72bGOyL5tC5aO9HsmVznaMc6RiVKkhstos5C3PZhaaeWgaDDGSuMHZgW7G4X2eDpdHWUzyZfOpdxvZVjmJmosLnG242JlOVJVxIzW9H691tedEIzkki1QJe+qlMFFxcTGvvPIK3333HXv27KFr167cddddjB07NuD9fvzxR5555hm2bt1Kly5dePzxxznuuOPsP5gmmhD0yZvJKTveRdu3uoCGf9qfgcXmqGP4Ju1OLM3grKz/0a1oYeVtUDEITzGt5eUsTDqlzn27zDJalmegK5O9Ya3qnFgAHJP/G6dnv1V5uWKEQsXj+DL9b2yJPobj9nzH8JwvUew/pGTirzm/Mu54vm99Iy6rnAu2vUB62frKx1lR9dDSDCa3vpm1cUPrFF+ojgD8uLo/l310L2Ue175XScPQTUzLoG+bzUy64SlSY/NtbWt+RhfG/O8JPKaT/c/W/o/Qc2d9wF0jp/DV0mFc8+kdeE0HlvL36dBNfJbB0PZr+ea6Z0iMCrwMboVf90RwVtkszLhM/yJBuulfB0BTaOWJvO49nWvSSvjQk8Et5UuwUAdVAxxttOCLyCF4PWH035zDjja/VVbtA/YtPqQ4O/si/q+np7ZQDluGVcJmqwQXOv2NeCKr7DweLV/FM57az9e/EXYsV7s68K9p5/HID5ehaxam8h93cOg+fJaDywb8xpsXv0ZmucaQHesparlk/3Om8J9KsBzctuciXuhayixfDheUzqMAX+UraaBhouiqRzMl8gTa6fu/cxYVWXxUWIKl4OLYSE6IrftAyJ+8O7m07A/Kqsy/qOizjx7H5MjjSdHCuLd8Ga97N1e+hlXb3ePqwtNhvRtlp7rBLOaM0jlkqFIM/N8FFc9dIi6+jTyOIY5EPvJs5ebyxTW+H0cZKXwRObRaRUhRf+olIbj33ntJTEzklFNOITY2ls8//5zHHnuMmTNncsIJJ9R4n99//52RI0fy1FNPceaZZ/L+++/z6quvsnjxYrp3t7cUblNMCLoWLuD87S/XOgrfQmdrVE/cegRdixYGPF8/pfVNrIgfXm+x1qRd8Uou3fYMUHP8FTvzeUlncnxu7QWRFBpL44bTwr2dVuVbapzOuK9yPZ+3fYCM6N4B4wr1aYA/Mrow6tUnMS0dVcOpFodu0rVFFvPuvo9wZ+BDyNkF8XR54k18lkHtz5p/saFnfr0AFDX2aegm/dM2MfP2f+AwAh+d2FDsoE/hb1gRe8CoYZCcZYAvnH9oA3jKOavW7RhojDCSWbu1F9mtZwWclnf1jvG82S00UwDt+sSzlWvLFwVtd/v6+3nl02drvV3XLC4d+CvfDrqPkqSVNT9nyv/a3VZwOm/H/4AXq8ZBjw400rQIFkSPDtmO6w/fXkaV/oaJqvEbwUCjqx7NGKMlr3g3Bhy68HBYD/4R1rCDeXMtNwNKprFbuWucTmoAERg8HXYMd7iX1rodA43hRjI/Rp4gRwoaQL0kBEqpg168tm3bct111/HII4/UeJ8zzjgD0zT58cf9q3z16dOHIUOG8Pbbb9vqt8klBEpx06a/kuDZaXuefq2bAood8fyvyysNuvjPDRv+SpJ3R8D4Ff7EJlgBIzssNHaGd+DDjk8cdFt9jgU47Y2Hmbmhd+Uvydq8d9l/GT8wcEGnSz+4l6+XDyPwREyF0/BhWgZWkGWLv7z2Wc7qvSBgm1NXGUxv81XgefWmA6flwucstT3drlYK9JKW5LU4nvAGnIPUonASBQSv9KfltUf9Z0vgRl0nw2VBVta0dAxvDFpYYeWv7xr7A14I78utrtAsu3x6yRxmmDlBazNUXfOhNmHobIs5rUEXOXrOvZZH3asDxmYAUTgoCvjM+k2NPJGRdVy0StRdvZQuPjAZmDp1Krt37+akk06q9T6zZ89mzJgx1a4bN24cs2bV/mumqUsrW0+ijWTAItgkQf8XTowvn47Fy0MTnA2RvoKgyUAFO8mAP3EIvDUdRevyzaSUbwMaZmDg1r0pTFvfN2gyoGsWb/4+Luj2pqyys9yshtd0Bk0GDM3knbmBT7UBzEyYDVqQ18Dw4bWTDCjNf6ohEA2s6F38a1tU0NhCJdMssZUMoEDFZwRvN/B1MIMcytctzLACG7sseNMTfL0DO7ZZpfxq7g6aDPgXDQvOg8Xn3syQxGbXG57NQWMzgcBplp8DjXc8QZI70aDq/Btg3bp1jBgxgpKSEnw+H++++y7Dh9d8uLuoqIjCwkJatmxZ7fqWLVuSnZ1dax9utxu3e//gpsJC+9XCGkKCZ6etdnazLQuNRM8ONtHvkGOqixZl22wlA3U5+hFsCmOFqxZ/i3K3qcOWD93m3JbBGwGW0lm/u3XQdh7TQd2eldqZymDtrrSAbYq9Gla0vfeaLZqyWWVKZ1l58BH4oTJz31LHQVXEHrkTSlNrb5e8tuZTBYdAAZuskpBsa7PN7dg9yuNAY4NlbxxKKFRddTEUfCjWWk3ru/1oV+dj1J06dWLp0qUsWLCABx98kOuvv56ZM2fW2LbibITDUT3vcDgcmGbtH9hnnnmGuLi4yr/09PS6hlmvrDpUX7Pz4dZQ+BpwcI3HqFulwpAK8ss5lFyBFrc5sK2j4RemCXME3umG66ryfHfI2HpDKsIb8LxuXF1+lyjAHRe4jRmaegYVXCGanR2q7VRQQFiNkznrh4EW8nnqDRm/CK7Or6/D4SA1NZXu3bvz8MMPM3LkSF566aUa20ZHRxMeHs6ePdV/AeTk5NCiRe1VyR588EEKCgoq/zIzG/awWDDbIrvbWlfAThvw//DZGtXzMKOyLzu8I6aN3/R2yxaDvceqlI7y1n02xKE6Nm0z0a7gg+Mcuo8x3ZYGbdcyJg97e9TgbRy6yZjugft0GBC3a8C+GQBBurMVls1XU1NcltRwidspRoBf+1Up/M+FGRG43cZx/hkUdrYXhAONk0J0jrufEUe0jeTH7jPvQzXo+Xdd0zjRSLa1WJUdBhonO0JTnVKExmF/6sPDwykvr/kwkq7rDBw4kDlz5lS7ftasWQwePLjWbYaFhREbG1vtrykpciaxIUjVwAqm5gj4vWOiszWyB3vDgh+yDhndwaboY4M204BiPSbg41T7vqSDpRdKaVjlaaAabgBUpMvDNUN/xdACHz72WQ5uPuHHgG0A7hwxmeApkqJFdD5GkLK5PsvghuOmBu3zOr1H8BK8SqdlWZugX9S6psB0Bd4RmgZxOwdyeouGm2XgMgx6aTY+4xrEbh8R8PXUsIhYem3w58w0iC/sFPQT7ENxS4gGFEZq/roLwV4nC0jAGTA2HWinRXJyiMo923Wrq5OtAZG9tdigj1OhuN5Vh7opot7VKSG49dZb2bhxIwCmafLZZ5/x/fffc9FFF1W2ef755+nWrVvl5dtuu41vvvmGn3/+GaUUn332GXPnzuXWW28N0UNoHL+kXkmJI7bGnWXFx+Xn1Kv5ofWN1a6rykLHbUTyY+vr6y/QWnyXdgtuPbLWj7YC8h0pfN72Pry6q+bHue/OvsJB+Ip6V7uuejsNzAjMomNCE3wd/HPc/9G1RVbAHfR9o79iYNvgA8fuHjmJXqmBlsNVRDrd/HrrP0mP31NLn/4n6KnTP6ZHy8B19AGe6lhM+8wxtf+6t3Tidvfn54Q+pGhhAb+EXw7vx1/2XIi/6l4N7UwDzRPLp4ndDr6tnv0aORxHkB1IJAY/J/ck0uWuMSnQsNA0+PC0Hzll+77vpJre4KYDo7g1P8YdS389IeBB6xudHUK2xgLAQ2E96KbHBHyd/ubqyueRQ2s9RG/gP/3wUcQg9AaesneWozXjHem1Rq8DxxvJTIwcSosg78eXwvuSrjeBWWOiUp2mHX711Vc8/vjjbNmyBY/HQ/v27fnrX//K9dfv36E9+uijvPzyy+Tn51de9+9//5unnnoKt9tNTEwMzz77LNdee63tIJvctMN9Yry5jN3xAV2Kl1Sr+J/vTGZmi0tYs29Ngc5Fizh55wQSvLsr2yggI7I3P7W+lnyXvcFvoebylTB+61O0dG+tVpRIAdsie/B52wewdAfJ5du5bs2/0cOqn/qxvLGYxX1QHv8Xph6egRG9Gs3Yf8RIKQ3L3RqzsC+o4CWV60NeaRR//fYaPl98Ij7LQcUjTYnO5x9jv+Qvx/+E3e9Vy4Jz3/07P63pDwc8a11TtvPLrY+QGlvA7qJY7vzqBr5dPgSryi6nRXQeT57xCVcNnmE7fo+pccZajd9Sfobwwv1desPps3MMv3QJI95lsd0q5fbS5fxo7kBp+9+PbVQ0z0X25EKnfxDjI5uieN7xO76Ezfs7URqJO4YyIakjo1P8RweUgnkZ3fi/JSewtySGxKgiLuz3O8d1WFvt+SpTJv/nzWSOuQcvim56DFc629FGr35of+veFD78cxSb9qQS5vByUpcVnNd3HmH7xm/sNMsYUDKNPRxcGKmdFsmyyDFEGAZrdqZx68Sb+H1z9dNsXVts56Vz3+Xkbv4ZOzeti+Cj6OlYMTv2N7IM2mQPZ1JaS3rHeihWPu4vX87H3m24q4yfT8TJvWHduNfVJeTz5POVh3vLlvO5L7PaWPwULYy/h3XnZmdHNE1jni+Xe8qXsdjKr3b/wUYCL4f3Y4CRUHndcjOfT7yZ7LDKiNYcnOVozVhHy3pJGEyleNazlv+4N1LA/nEw4ehc5+rAU2G9idAMtlul3FW+jCm+HdXysnZaJE+G9+IiZ9MaG3Ykq5c6BBVKS0txOp04nQcPhCsuLqa0tPSgMQKmaVbu2HW9bmcqmmpCUCHWu4e2JWswlJc8VyrbIrvDvpoCmrIYuftzBud+v6+1tu+/CrcewZTWf2FD7MBGitwv2pPLkNwfiDQLKXQm8UfSGZQ7og+eEmgUoTtzQVMobxzKl8DBh9AVmms3mlEKysDypIAV5JxvA8kpjuXXdX0p8YSTFr+H0V2X46zjaPT8skgu/+gefll37L6acdq+dECnY9IOvrruOXqmZjJ3Szcu+eBv7CpKQNcq2iksZXBp/9944+LXgxZCOtBet84LmRFs95qkOHTuTvPQJmL/YMhf1/Xhio/vYa8zD73DNJThQdvbCSvjJG4Y+isvnfcuuqZ46PvxvDjjTGg7B5LXoVkO1NbhxJa25p1LX+HsPn+SlZ/Ihe/fz6LMzjh0H5bS0DWFz3JwbNomJl77LGnxe/nOm831ZQspxIcDDVWl4M4d+6rpWZaDe7+5lrfmja08taTt21ZiZBEfXv4yY6uMp1hrFnJ/+Qr2KDdt9EheCutLG2P/e+izRSdy65d/ocQThqapyqMAuqZ4YMxX/HPcF5UJi8fU+G9mJCvLTaI0netTfRwbd3DCkac8/OLbRaHykaqFM8bRgrAQLcdcmxzLza/mLkqUSZoWwWhHC5w11CJZauazxMxHAwYaCfQ29g+qzFcerihdwM/mrn3Pv/8T6UPRUYviq8hh9DTq55RruTL52beLXaqcBM3FWEfLGgs4bbP8FSHdWHTSoxluJDf4kY2jXb0mBA2tqScEgZy84yMG5k0NUNdO4//S/8rmmH4NGldtZMGg2rl9Dka/+gSLt3fCrGGgn6GbxIaV8u5l/+XSD/+G1zSwaqiBoGsWp/dayJfXPGf7yEQwv2/uztjXHsNSeo01EDTNYvyAWSREFvHqrDP2lXA+oA0WaPDx5S/xzx/Gsy0vpdbHmRa/h6fvGs8V1rRaxzRqwC3OThR9+xYfLxhZY9VGXbPQNcVPNz/KiZ1WH7yRA3y1dBiXffRXAi3O/eCYL3n01M+Dbqu58yiLUSW/sdjKr6VqoEYsDuZFj6KD3nB1JUTTIwlBE5Dg3slfNt0bsI2FRr6zBW92foGQ7R3qQBIA+z5eMJLrP7s9YBtDN2kRnc/uovigBZF+uvkRTuqyMiSxDXvpOZZu7xi0IFIwGhbxESUUlEfWmMxUttN8JNyXRl7EruCD9V9ZB7lda71Z10z6tM7gj3vvC7gZn6nT8fG32FUUT6DBnbpmsenhG2kdlxcssmZtgmcr1wUp92ygcbmzLW9FDGigqERTVC+VCkXd9MufHnQmgo4i0buL9NK1DRSVLB98qF6fcyp6kKqBpmWwozApaDLg0H28PTd4dUQ7lmW1Z3Fm56DJgKZZBKuBp9DJK4sJui3V9nf22kgGNEtHG/hGwDaWMlia1Ykl2wOPOP9xTX92FdV0mupgH/wxOmib5u51z+agX+Amis+8mRSohis0JZqvBqxWfvRpWZZR42I/B7LQaFm+lcyo+luoRHb+h2/ljraH/Qu8gs9ysDizY0i2tTy7va12qk6xB9nppi4DSw+8xgKgdAtaLrPV44rs9tWWL67p9opVDQP2if3npDlbYRXYLnG80SquNghRiJpIQlCP7C5WpNWhbV1IEhBaWvCD43Xbnhaa7ekh2k6dKN1fCtlWW3uD84IdfdE1VePYhwNpNNJz0sD0OhQIkkPBwg5JCOpRVkQX2pesCnqUQEORFdH5sPuTBKB+DWm3gTmbewQ9HWCnxqND93F8xzUhiWtQ2/W22mmata9ORPDdg4ZV4yDAStsH20oINKXD9iG2UqlB7TYEvH1wu/U1DnI8kNrX9kg3xEhgtpkbtFBQNAbd9JgGiko0Z5I41qNlCSMJVh/VvyxwO3ZGHNrhYxkP0HBuOfGHoMmAoZt0TNppo1Khg5tsVCq0o2uLHYzsvCJoRUalgv+m1DWTVrG5Qc8YaDsG0rq0bdAvEA2FWnRTwDaGbnJix1V0a1H7gmcAJ3VZQcekHUGPJDh1kysH2a/z0FzdYqNqoIHGVa72RNZh/RVx9JKEoB4VOZP4rcXFtd5uoWFpBj+1uq5O25UkoHGc2XsBp/daUOsOyaGbtInL5aMrXiI2rBRHrUmB4sbjfmJQu40hi+3Fc98lwukJmBT8bdTXPHnGhFpv1zUTp2Hy8RUv0T9tU63bMjSTfm228FF8N5zoAb9EHg/vyf2D/6j1dkMzCXd4efm8dwJsxU/T4PWL3kDXVC2vgX/n+O9z3icxquFWAWwsZzhac7ojtdbn34FGay2cB13dGzQu0XzJtMP6phQD8n5mxO7/w2WV76tapzCw2OtsyZQ2N5MV2SXgJmTH33S4ff4iO++u6IvqOREtNgtVHotacx4jEjx8MP4/tI7LY93u1lz58d0szeqIf2S//ye3y/By76jveHjcF+i6/6PnURaTfdmsNAsxNI2hRiKjjBZ1Lt6yLKs9V024kzW72uLQTX/xH9Mgwunm72Mn8tdR36Bp8NrsU3loymWUeP3FfvzlhHTaJ+zgwyv+y9D26ykoi+QvX9zM1xlpaL0mokXloEqSUKsv5Jy2O3jrkv8RF1HKH769XF36J5sprdwxWUAUBk+E9+YWZ0dA44Xp5/DEnBGUD38cUtai+VyolZfQNWscEy7/L33bZFQ+js25Lfl2+RDyy6JJiS7ggn6/0yo2v/L2GRt6c8Nnt5GZn4JD9/mLNloO4iOKefbMj7hm6LQ6v67rdrdm8spBFJZHkRqTx4XH/k5KdNNfmtetTP5avpx3vRkoFIa/mgQmiuFGMh9GDKJ1lYqRS8w8pvp2UaZM2umRXOBMq7GYUKgopfjTzGO6uZtyZdJJj+Z8Zxui5IhFg7I77VBelfqmaSxKHMey+JF0L/yTJHc2lmawLbI7W6N61Vp7QJKApkkzPBhn3II+bgumYv/gupP/jsNIQY8YBISzdW8K63MqFqza/xp7TCdzNvXAsjR0XTHBs5X73CvIVR6c+4Yt+lC01yJ5K2IAI+qwml3fNhksue9u5m7pzvT1ffCYDjom7eKCfr8TE76/nPTcLd32JQP+GosVA/WyCpNZsyuNoe3Xo4cXYFx0MZp3u7+d0kGz0Mb+DYezDVp4f8CJroFD00FVHzlhoGEAmqZhWRZzht5H+aCdlWfQFEDHGWxFZ1PEQPqSxt6SaG784lamrByEpikM3cK0dO7/7iouG/gb/z3/bSJdHk7qspL1D93ML+v6Mj+jO6bS6ZW6jXP6zK8sg2zXzsJ4rvvsNn5ddyyGZqLrCtPS+dt3V3Pd0F94/pwPGmVpbLvCNINXIo7lobAefOndzg5VTqzm4ExH62oVCjeYxVxdtoCFVl7lGgk+FHeXL+NeV1ceCusR8uqBK80Cri5bwAqrsLJPL4q7ypfy97Ae9VIWWhweOULQhEgS0LRZSnFR2Xy+9+2ocZiogUa6FsELOTdxwasvVFaiPJjimFYZ3HLn+dxcvqTGvnT8o8h/iDyhTklBMOe+8wA/rB5Uy63+iF+/9EXe6/FUwAp4/fR4ng8/hlNL5+DBqnXY7NNhvfnBu4M5Vm7AuD4yTuS5/33M2t1pNQ4c1DWLEzut4vubnqhzuena5JZEc/zLz9VakVHXLE7ruZD/u+bfGEGmVzZlW6wSji+ZQYHyVls7oaqbnR15OaJfyPpcYxZyYslMSjFrHefwgKsbj4X3ClmfonZSmKiZkPEAzcdkXzaTa0kGwH+YNlOVceXWsgDJgP/6FXkJ3F66ota+/CWEFH8pW0yocvYl29vzw+pA62b4471jKyy08mr9IjdRLLbyuLzsT7wBkgGAf7hXBk0GAG5wL2LNrvRaZxFYSue3jb35dNHwoNuy61/Tzqs1Gajoc8qqwUxeWVsC1Tz8vXwF+QGSAYDXvZtZaO4NWZ/3lC8LmAwAPOtZx1qzKGR9isMnCUEjkCSgeXrNsynoGu8mipLen4CzLPDG+n6AL8isAAvYrEqYYebUMdKa3f/d1bbaeQe+XuMy1lUpIEuVE+y3ut1Uxu0oxer4S8A2umbxv9mn2dxiYOVeJ+/OGxN0GqOhmbwWoj4bww6rjO98O4LORnCg8aZ7c8A2dm20iplu5tiaAfG2NzR9itCQMQQNRHb+zd8fZu2/mqsJK4Kk9bCzX+1t0ueD0oLO5Xeg8Ye5l1GOFgHb2bFyZ9vgjcLzIXHTYfd1SHp8BZtqL+dsKYNlWR3xmsZhnzZYv7s1Re7gpx9NZTB/a+3rMDR1i82aT/scyIdijhn8SI4dC2weaTBR/O4LTZ8iNCQhqCeSABx5rLpUKgzy658gc+kPud9A21E6wQsMNOK5cpvn6S11+APR6lKCWoWgv8ZiK4E9hLYBt1OHU1yh6lOEhiQEISIJwJGvlx7LUis/eP14nwv2Bqk8uesY/y/iYJtC0VsPzXr2HZN2sqg0moBJQXkCFLeE6F0h6bNOtpwU8GYNi/aJu+s8k6AmHZN3Eubw4vYFnnKnayY9UzMPu7/G0tuIs9XOgUY/Iz4kfR5Tlz51e21Fw5AxBIdBxgIcXW52dQqaDDjQcK6+CNxBduJLrrO1lkGKFsbpjlb2gwzg8dM+JegRAqWhL/yLjQqEkICzDtX0AzNMF8aqS4J2esuJP4Skv9jwMi7t/1uA4lF+ltJD1mdj6KhHMcpICTr2xYfiJldoFtvqa8TTX48P+h7yobgpLDR9itCQhOAQSRJw9LnYmcYAPb7WL1cDjWgcPBXdft81te3wFS1UBPe7gp+bfjG8j3+efwic3G05x7TaEjAugLsi00nXImt9nA400rVI/hveDwg0lwL+4uxIey34ufqHjH4kRxXWuoM2dJOuKdlcM6TuRYdq8+DYicSEldZaZtrQTY5N28zFx84JWZ+N4enw3jj21QGoiQ6c5kjlJCN001v/Hd4HPUiflzrSGWgkhqxPcfgkIagDOSLQ8NbsasOEBSP46M+TWJHdrlFjCdMMvo86gRFGMgCG0tGUhrHvfHSaFsH0qOHc2W81L533TpUjAKrKH6Qn5LDs/jt5NLwnf3d1938IVfW/CAzeCR/ARc70OseZlZ/IZ4tO5IM/RjF7U89qMwbm3v0Ax6ZtPrjDimRgxCSeOfkHpkUN55h9pyoqdiaOfbv+nnos06OGc5Ernc8jhhC978xjxQiFiv/f5uzEi+F9WRJ1Mt216FrjfdjVg7/HpjHj9n/QOcW/noFD96FrFg7df3pgYPpGfrn14WoFlg5X+8Qcpt/+T9Lj99TY54kdV/HDTY8T7vSGrM/GcKyRwI+RJ5CkuYCDX88LHGl8GjEkpIWJTnAk823kccTiPyVTUZjIQEMDrnK2462IASHrT4SGFCYKQnb+jWNZVnvu/vo6ft/Ss9r1A9I38OK57zG0feOsZqcU/Oe3M3lmRQfyu30DMdngjsWx7kyuTnLwrzM/ISrMDUBxeRiP/HgZP6wegMd00jp2L/8Y9wWn9Fhaub3zVzmZkvotON3VOyqL4+/FZ/JIp1LbsWUXJHDX19czeeXgaoPmOibt4KkzJnBe3/mV1/2R0ZmHvr+cLbmpGLrF8R1X8+yZH9EiZn+5XqX8I8//z5tJrvKQqLm42JnOCUZSZYW5LVYJt5Uu4Vdrd7VYOmqRvBDel9Oc/tMd33izuLtsKTuo/jhP0VvyWmR/2uwrr2tZGjM2HsNXS4dVli6+bMBvDG63obainofNtHR+XtuP71YMobA8klaxexk/8Df6px9ZU+I8ymKSL5uffDv3lS6O4ipnO7oZ9bcSYrky+cqbxXRzN25l0UmP4ipXezrqUfXWpziY3cJEkhDUQJKAxrVwWydO/t8TeHyOg1YX1DUTQ1dMufEJRnZZ2aBxKQX3fnst/5t9eo23G5pJ//RN/HLLI0S4PEG3N3qVxpy0fe+1A3d2+z6V9+4ez9NdgtQ0wH9U4IT/PMvuonh8B8ytr1jK+H8XvsH1wwLP9a+LzVYJJ5bMIE95DxotXvFwPowYRLHycUv5kn2Fkqsz0GihhfF71EmVSYEQIrSkUmEdyemApsGyNK74+O4akwHwz0U3LY0rJ9yF1wxcVCbUZm7sXWsyAP4564syO/PCjLODbmt9oaP2ZKDKdS8kfG0rtnu/vZZdNSQDAAodUNwx8Qay8kN3zvaWssXk15AM+Pv0/11ftojb95VnrumXh4lit3JzV/nSkMUlhDg0R3VCIElA0zNj4zFszm1VYzJQwVIGu4oSGryk7GuzT7M1Kv2N308Nmqyck1ng/0egw+Aa4CrjxjXhAbeVlZ/IdyuGBKm651846d35YwJuy671ZhEzzJyA5XCBgOscVDBRTPHtYLtl//SIECL0jrqEQJKApm3G+mMqB3UF4tB9TN/QpwEi2m/a+r41/gI/UE5xHGt3pQVskxG72l6nCiZrgc9lz97U01ahHUsZ/Ly2n71+g5hh5tiecmjnnKQFzDb3HEZEQojDdcQXJpIdf/PiNp22B495fQ379q3LKQqPGTg2ZSPpqeAL0tZj2l/PPlghHrs8yqpxTMDhcKvmu6KgEEeCIy4hkASgeeuUvAOfaefXrk6n5B0NENF+HZJ2sX53633n5GunaxZtEwIvSBRR1oKSaBvxa9DG0zJgE7vPg0P30a1Flq22wXTSo4JXbGT/GRE7iUNnvfapiUKI+ndEnDKQ0wBHjkv6z8blCL5wjYbi8kEz6z+gKm48bmrQNoZucvYxf5ASXRiw3QNGn6BFAwFQ8FW7wDNrjuuwlk7JO9CC7KJ9loPrQjTLYKyjJS21sKDt9lc4qJ0GdNSiON5ICkVoQohD1GwTAkkCjkzxEaXcNzrwa6qhuOXEH2gdl9dAUfldOXgGbRNzah1Y6C9qY/HgmIlBt3VfhxIceR2C7i1bZp9Ip5jACZKmwdNnfFw5m6AmhmYysvMKRnYOzVRNh6bzZFjvgG104CyjFScFKZ2rgKfCe1fWNhBCNI5mVYcg5+kziQ0PzTlQ0XQpBQ9MvpKXZ56NoZuVo+cdus//K3foz7xywdsYNlfHq6s9xTGs2ZWOpil6pW4jIbKk8raMvSmc/sbDbNzTGkMzMZWx75e5RlRYOV9e8xyjuq6obO/2OViW1YEyr4u2CTl0SNpfwGdnqUbH3D8x4zL9e8Wqx9c1iN05kB0d03A47OXt780fze0Tb8JS/gGEsP85G9l5BV9e+xyx4ftrGmRbZWy0inGg08eII1qr+xnE/7g3cL97BTpa5fRDBxo+FKc5UvkkYjA+FBeXzme6mVN5G1RUNNT4b3g/rnd1qHPfonkoUybLzHzcWHTQo2irN2xxOXGEFiaShODosmZXG96eO475Gd2wlMbAthu5cdhU+rTZWi/9bc5tyWM/XsLEpcfhs/w7R5fh5ZL+s3j4lC9IT/Cv3e41DaasHMRHC0ayPT+ZuPBSzus7j/EDfyMuwj91rszj4rlp5/Hm76ewt3R/JbjhnVby0Lj/Y0TnVZWP8ew/09ja812IywR0yOnOoPXX8tWohbSMKajTY8guSOC9+Sfz89pjKfc56dYim+uG/sKIzisrB2suM/N51L2aH307K48nRGFwlas9/wzrQeK+Erd2bbVKedezhRnmbjzKopceyw2ujgw1Eit/9SulmGXu4V3PFtZaRYRrBmOMFlzn6kBrKUh0RCpWPp5yr+EdzxYK2T8wdrTRgofDejDUIaeIGookBELUwaod6Zz0ypMUeyIOms9v6CaJkcX8dseDdEoOvixwqcfFqW88wp9bux40HVDXTEDjw8tfpmPSTsa+9jjlPudBfTp0k5Yxecy680HS4vce9uOrMMuXwxmlv+NDHVRQyECjvRbJb1EjSdGDjw8QojaFysvoklmssgprfJ8B/F/EUM5whmYlTxGYVCoUwibL0rjo/ftqTAYATMsgrzSa8R/di530+bGfLuHPrV1qrA1gKQNLwdUT7uDcd/5OuffgZADAZxnsLErguk9vP6THVJNS5ePC0vl4sWqsLmiiyFCl3LavsqAQh+r+8hU1JgPgf59ZKMaX/UGu5a7h3qKxSEIgjnrTNxzDxj2tA1b681kGS7Z3YuG2zgG3VeIO4525YyvP4ddMRymN3cXxASsympbBzI19WLOrTbCHYMv/ebeTjzfgXAQTxXe+bKkaKA5ZnvIwwbutxmSggsJfxfJDb/2c/hOHRhICcdT7ftVA29URp6wKXC55bkZ3ij3Bz4lbGNiZna9rJj+sGhi0nR1TfDtsfeAV8JMv+KkRIWoyw5eDx0aVCgv4zpdd/wEJ2yQhEEe9Ek/gtQIqaJqi2B24bXF5aAfIGZqyHV8whSrw0YHKPtEoVvYrKQpRVZHy2m4r77OmRRICcdRrE7cXZaNKkGkZtInPDdgmLd5uPX57Y3l9lkGbuMB92tVOj8Rh53GiSJOR/+IQpdmcVmigyRTEJkYSAnHUGz9wZpCVAv00FJcOmBWwzcC2G+mcnB20aqC/6EDwnbPL4eX8fnODtrPjcme7oKsTAsTi4HSHjP4Wh2akkUIrLfhRLRPF1c52DRCRsEsSAnHU65yykwv7zdk3JbBmumZxzdBptIrND7gtTYN/jvsi4HoHDt2kXeIuTu66FCNAnxqK24d/T3xEaAb4DTeSGWIkBqwaCPC3sG5EaPYXchKiKkPT+HtY94BtHGj00GMk8WxiJCEQtllKkW2VkWmV4g3BynR7S6LJ2JsS9Lx8Q3jrkv8xqou/wmDVnbSxr0zxGb0W8NK571a7T7E7nIy9Kewtqb4ozyUD5vDU6R/vu78XonZD3FZwlKChaB2Xy083P8anV73AkPbrD+qzojTyZQN+4/HTPg3ZY9Q0ja8jhtFb989DrvrhrziV8BdnR/7m6lrnbVuWYlmhi/l54RR7m1YJ4jJlstUqZbdVTjMou3JEuMHZgQdd3QCqnaaqeM910KOYEnk8Dk12QU1JnQsTmabJhg0b8Hq9dO7cmYiIwOcat27dypYtW6pd53A4OOGEE2z3KYWJGlep8vGaZzOvezaxXflL38bh5HpXB+50daalbn+HrhR8t2IIL888k3kZPQD/zvDcvvO556TvGJC+qV4egx05RTHc9fUNfLdiMF7L/z5zGR4u6DeXl859l/hI/y/1RZmdeHHG2XyzbGjltMFh7ddw54gpnNNnPprmT56e3l3Cq94N5MX63/+a6WJIwSBeahlP/wh/4R+vaTBpxWBen3MKy3e0x9AUx3dczc0n/MSoLsttLwVdF25l8pU3ize8m1lrFuHQNE4yUrjZ1YnjjaQ6rSlQ6NW4foOT72Pm4YvbN4XME0W/naN5NS2KQfGNN898nVnES571fOrNxL3vFE5vPZbbXZ250tkOXdZOqHcLzL287t7Ez+YuPMqikx7Nja6OXOxMI/IQSmWLQ1MvlQpfffVVnnvuOaKiojAMg+zsbJ5//nmuu+66Wu/z5JNP8q9//Yv+/ftXXhcdHc2UKVPsdisJQSMqUF7GlcxmmZV/0FlxA40ULYzpUcPpZGPpWqXggUlX8vJvZ1euA1DBoftQSuOjK17mghCdM6+LrPxERr36JJl5yQfUBlDomqJLSjbTbvsnszb24oqP70bTVGV5Y/BPD7SUwZ0jJvH0mR9wVfmfTPRloUO1582BhhOd7yKPY4QjpaEeXr3Y49bpsXULhS0X+6/QqnyVmAaaJ5Yv1GmcnVpW8wbq0WzfHs4s/R0vVrVxExWvx3mONkyIGIwhSYE4CthNCOqUohUWFrJgwQJSU1MBeP/997n++usZOHAgffv2rfV+PXv2ZObMmXXpSjQRt5QtZrlVUOMQORPFHuXm3NK5LI0aE/QX1+eLT+Tl38723/eAgjz+navFVRPu4pjWGXRr0XDzk5WCiz/4G5n5ByYDABqW0ti4pxUXvncfC7Z1wVIa6oB2FYWI/vPbWWzv/RZfp2T5rz9gaz4UFibnlc5jffQ4kppxieDRG0opTFtSPRGoYJgoVyGXlM4gxzuMaGfDHarfqzycWzoXN+ZBz3/F5W98Wfzbs44HgpzrFuJoUqcTOH//+98rkwGAq6++GofDwR9//BHwfl6vl0WLFrFq1So8Hs+hRSoaXKZVyle+rIAVx3wo1lnFTDN319oG/Dvd56efg64FGnugo4A3fz/l0AI+RAu2dWHBtq4BZxqYlsG8jB7+ZCDAx0Yz3HwbPS/gWH4LKMXHR95thx50I9tQ7GBt618h0IqThokVk82jGQ07hfEjz1aK8QWc56GAVzwb8YRgLIwQR4rDGtGxdOlSPB4PXbp0Cdhu2bJlXHvttZx22mmkpqbywQcfBGzvdrspLCys9ica3rfebBsT4/yHwSd6twdss2lPKit3tK+xvn9VpmXw2aIT6xDl4Zu49DhblQpBBSlJDCp9LmZE8MWILODzZpwQvJDlBIeN5N7SmegL/N4ItS+8mbaqPOxRHuaYdutGCHHkO+SEoKSkhGuuuYbhw4czcuTIWtsNGTKEjIwMli1bxtatW3n88ce57rrrmDu39vPEzzzzDHFxcZV/6enphxqmOAx5yhN0ihr4Tx3kBalOll8WZbvfwnL7bUOhLrEFZSMZqJCrmu/RshzTBMvG14duUWIU1X9AVdTlec1rxq+BEKF2SAlBeXk555xzDh6Phy+//DLgqOQxY8aQlpZWefm2226jW7duTJw4sdb7PPjggxQUFFT+ZWZmHkqY4jAl62EBTxdUMNBI1lyBtxVt/yhPYmTD7kCSokLYX6m9gYIa0NJG8ZamqpXhCHy6oIJlEOuLq/+Aqmihhdk6sgWQrDXfMRxChFqdEwK3280555xDZmYm06dPp0WLFnXuNCUlhezs2geNhYWFERsbW+1PNLzzHG3QbHy1+lBc4gx8FKd9Yg4D224IWPwH/PP+Lx80sy5hHrZL+s+uNmOgdlrQ+LXMoThL7H0mxrva2mrXFN2f7gGvjYRGN7ksLDSrNdpl93lN1cI53kiq52iEaD7qlBBUJAMZGRnMmDGj2gDDChkZGcyZM6fyclFR9V9fu3fvZsmSJRxzzDGHGLJoKKl6OOOdbQO+SRxo9NPjONFIDrq9v436JuA5eA0Lh25y43FTDyHaQ9e3TQYjOq+oLEJUE0MzObnrUlyGGbAssbJcXFY+JGB/BpCAi/HO5psQpEf6OHbHuMCnDUwDR357/tGupOECA8Y725KouYKe7rrH1UUK4whRRZ0+DRdddBFz5szh0UcfZd26dcycOZOZM2eSkZFR2eaDDz7gjDPOqLw8evRoHn/8cSZPnsz777/PSSedRKtWrbjllltC9iBE/flPeF9O2LezP/DNogNttUi+ihxmq5jNOX3+4LFT/ZX3Dtz5OnQTl8Pk/675Fx2SAs9YqA+fXPki3VpkoWlWtR2+hoWGol/aZj696gW+uOZfuBxmZTXBChWP59FTP+XN9g5ucHbwX3/ATslAIwoHk6OOI05r3jU1fu3mIGXncf4LByYGlo5e2oJJEccT3sD1Z2I1J5MjjycaR43PP8B1zvbc4ercsIEJ0cTVqTDR2LFja5w2ePXVV3P11VcD/oRg4sSJlYWHCgoKeO211/jjjz+IjIxk8ODB/OUvfyE83P75UylM1LjKTPjrVo1PjeWUJmwAwFGcyqnFQ3mlnU6rOp6GnbGhN6/MOoMfVw/AUjrhTjdXDJrJbSd+T/eWWfXwCOzJLojjwvcfYNG2zpVTCzUshnVYw8RrnyMpyv9Ld+2uNrw6+3QmLBhJmTcMXbM4tecibh8+hZO6rARAKcUkXzb/82zit30j2WNxcJ2rA7e6OpF+hKzy5jE17toYzqeOpZSlrAJAK0lh+N4RvNrWoGuM/aVwQy3TKuU1zybe9WRQgD+O4UYyt7o6cbajdZ0qMgrRnNVLpcLGIglB4/H4HFz64b1MWTXYX13Q8IBugicCDZ1erbby082PkVKHQYMVvKZBqSeM6LByDDsD1OpRZl4SfZ/7DyWeikS1YmehAI34iGJWPXgrydHFlfcxLZ1idziRLjdOo/bTDW5l4sYiGscRXS4336NTamqkhvnQ9abzOC2lKMZHGDphsmiTOArZTQjkBJoI6L7vruKH1QOBfdUFfRHgiQYMFBprdqVz0fv3cShppdMwiYsobfRkAOC4l57blwwcuCyx/9/5ZVEc99K/qt3H0C3iIkoDJgMAYZpBrOY8opMBgHiXResIs0klAwC6phGrOSUZECIISQhErfYUx/DO/LEBiwmZlsHcLT34c2vg4lRN2ZSVA9hdnAABB6FpbM1rwfyM5vs4hRAiEEkIRK2+Xj4Mnxn8LeLQfUxYOLL+A6on/552HtiqbQdPTr24foMRQohGIgmBqNXOwgQcNg7nm5bOrqL4+g+onuwpsV/nYndRwxbZEUKIhiIJgahVbHgpZpC1B8B/Lj02vOGXuA2VKFe57bbRYfbbCiFEcyIJgajVmb3/RCkblQotB+f0md8AEdWPq4ZMJ/D4gQoaN5/wY32HI4QQjUISAlGrTsm7OLXnosAV/HSTdom7OLXH4gaMLLRuPv5HwhweAo8jUMSElXLhsbUvyiWEEM2ZJAQioLcveZVOyTswaqjh79BNYsNK+ea6Z5rE1MFDpevw3Q1PomuKmpMChaFbTL35kYYOTQghGkwDFxUVAWke9Iit6OGZaLobZYVhladjlbUDFXg1wfqSHF3E7Dsf5IXp5/D23LHklcUAEObwcPnAmdx38te0T8wB/EWMvl0xhHfmjWFzbksiHF5O77WQG4+fSsekXY0Sv10ndVnF73f9jfEf/ZXNualULUzUNSWL/7vmX/RIbbwqik3Zyuy2vDl3HNPX98FrOuiZuo0bjvuZU3osadaJohBHG6lU2ERozlwc8b+D5vNf1thf7Ec58OUfj/I27spsbp+DTXtaYVo67RN3ERO+f4BddkECp73xMGt2tUXXzMpFjAzdRCmN/5z/Njce93NjhR6Ux+fgmk/uYOKy49ExsfDHr+PDwsFVg6fx+kVvyA6uCqXgiakX89TPF2HoJqa1/zU3LYMTOq7m6+ueIS6itJEjFeLoJpUKmxOjGEf8HNB8aJo/GQD2/1vz+W83igNupr6FOXz0TM3kmNZbqyUDHp+D0954mA05/mVuq65oaFoGltK5feJNfLdicIPHbNcdX93A18uHAVQmA/5/+w+iffTnKP4++fJGia2pen3OqTz180UAlclA1X/P29KNSz746yFVsRRCNDxJCJoAI3IjaBa1Vbb1JwWWv10T9N2KwazZ1RafFWBpY83isR8vaZI7h617U/jgz1EBKzIqNF6dfTp7imMaMLKmy+Nz8OTUiwK2MZXB9A19mZ/RrYGiEkIcDkkIGp2FHrEVTQu8p9Q0hR6xFWh6h6zfnT8GvYZBh1UppbNqZzuWZnVooKjs+2ThCHQblQotpfPZ4uENEFHT9+Oa/uSWBi/o5NB9fPDH6AaISAhxuCQhaGyaBy3IzrSyqWaCfvDy041t857UaqcJAsnIbVnP0dTd1r0tgiZk4D83npHbogEiavq27k1B14Inpz7LweYm+JoLIQ4mCUGjq+MKbDZ3vA0pwuW23Tbc2fQSGrsxKaURWYfHeiSLcHqwbBSt0rDkOROimZCEoLEpJ5YnIei5daXA8iSAanqzLM7otbDGOgUHCne4Ob7jmgaIqG7Gdl+Czwo+A9dnORjXY0kDRNT0ndxtma3ajqBxSjMuWiXE0UQSgibAKutc64DCCprmb9cUXT/sZxQagSr9GbrJlYNnNMk1D07psYS0+JyASY2hm/RomcnxHZpeQtMYOiTt5pQegatYalhEuNyMH/hbA0YmhDhUkhA0AVZ5GmZZ2xqPEijl/zPL2mKVpzV8cDZ0SNrNqxe8CWhoNZxXrtiZPnXGhIYPzgZDt/ji6n8T5vDWuIMzdJMoVzmfXPlC0MTtaPK/C98kNSavxudM10x0XfHxFS81ySRQCHEwSQiaBA2zcABmcW+UGVb9JisMs7g3ZuEA7C3A0ziuG/YrE699hl6p26pdH+F0c8Own5lx+0NNescwsO0mZt/5ICd3XYZW5UiHplmc2mMRc+56gF6tMhsxQnu2ljq4eLWL9DW7SV2XxbGr3Hy5I/KQtuUzdSatHMQVH9/NuNce4fKP7ua7FYPxmf6vjTbxe/n97vu55NjZOA1ftfsOabeeqTc/yhm9Fh72YxJCNAypVNjkWGjOXP9sAsu1rzph88nblIJlWR3I2NuCcKeH4zqsbdKJQE0y9qawPLs9Gopj0zaTFr+3sUOy5W8bIvlv4kRw7BvEpykwHWD4aLV9JAs7JZMcZm/a6vrdrTj77X+wObcVhmZiKqPy/+0TdzHpxifp1iK7sv2e4hj+3NYFr+mga4sserSUMs9CNBV2KxVKQiDEEeDpzVE8lrTvlExNUygtnZY7jiejWzK6HvhI066iOAY9/wJ7SmKrVSCsYOgmSVGFLLj3r6TG5ocgeiFEfZLSxUIcJSxL8Yw+3z+ms7Z6CrrFrjazeTsrOuj2/jf7dPYU15wMgL80cW5xLP+bfdphRC2EaGokIRCimfswOxpP4gbQgxzsMx28VLgzcBNL5+25YzGD1LswleFvZ8lXiBBHCvk0C9HMzS+xWc7a8LEjYnvAJnmlUewttbdeQ15ZDLklwY84CCGaB0kIhGjmXHWYC6kHKcDkMOyV0a5sL8tBC3HEkIRAiGbu4mQLbJQRxjI4pjxwcau48FK6t8xEC7KIloZFtxbbSYhs3CW5hRChIwmBEM3cCYnlpOw4Dsxg61xYPNUqImALTYPbTvye4DUvNG498Qcp1CTEEUQSAiGOAJ+ktEdzxwVMCk7JuogTk8qDbuvqIdM5qcvyWlcz1DWLEZ1Xcs2QaYccrxCi6ZGEQIgjwIikMn50nEJczrH+K5QG+6YNaiUpjM++jO96eW1ty2mYfHP9M9wwbCouwwuofes8KFyGl+uH/cx3NzyFy+ELtikhRDMihYmEOMJ8vzuCCXss3Ch6hTl5sF0pkY5D+5jvLYlm8qpB5JbEkBRVxBm9FpAUJeMGhGhO7BYmCr7mqxCiWTm9RRmnt6i45DmsbSVGFXPV4BmHHZMQoumTUwZCCCGEkIRACCGEEJIQCCGEEAJJCIQQQgiBJARCCCGEQBICIYQQQiAJgRBCCCGQOgQixMq9TqasGkTG3hTCHV7GdF9KtxbZjR2WEEKIIOqcEMyYMYPffvsNr9fLoEGDOPvss9GCrHCSm5vLhx9+yNatW+nSpQtXX3010dGyjvqRRCn476wzeGrqRRSUR+HQTSylYX2rM6rLMt685DXaJuxp7DCFEELUok6nDE4++WSefPJJAMLDw7nttts47bTTMM3a11DfuXMnxx57LJMmTSI1NZUPPviAoUOHUlRUdHiRiyblkR8v477vrqGgPAoAn2VgKf/b67dNvTnx5WfZnp/YmCEKIYQIoE5rGaxatYpevXpVXl63bh3du3dnypQpnH766TXe59Zbb2XGjBksXboUl8tFYWEhnTt35o477uChhx6y1a+sZdC0rcxuy4DnXwrYxtBNzu87j4+vCNxOCCFEaNldy6BORwiqJgMAnTp1wuVysXPnzlrvM2nSJC644AJcLhcAsbGxnHXWWUyaNKkuXYsm7I25p+DQaz9KBGBaBl8tG8buotrfjEIIIRrPYc0y+Oijj/D5fJx44ok13l5eXs727dvp0KFDtes7dOjAxo0ba92u2+2msLCw2p9oumZu6I1v31K7gZiWwZ/bujZAREIIIerqkBOCxYsXVx7279q15i/5srIyAGJiYqpdHxsbS2lpaa3bfuaZZ4iLi6v8S09PP9QwRQPwmvbHpvrM4ImDEEKIhndICcGKFSsYN24cV155JY899lit7aKjo9F1nfz8/GrX5+XlBTyP8eCDD1JQUFD5l5mZeShhigbSu9XWoKcMKnRvub2eoxFCCHEo6pwQrFy5ktGjR3P++efzv//9L2Bbp9NJly5dWL16dbXrV69efdB4hKrCwsKIjY2t9iearhuPmxr0lIGumQxrv4buLbMaKCohhBB1UaeEYNWqVYwaNYrzzz+f119/vcb6A1OmTOGee+6pvHzJJZfwxRdfsGePfw76li1b+P7777nkkksOM3TRVIzptoyTuizH0Go+SqBrFrqmePrMjxs4MiGEEHbVKSE45ZRTKCsrw7Isbr75Zv7yl7/wl7/8hSlTplS2WbhwIe+9917l5fvuu49OnToxYMAALr74YoYNG8aoUaO47rrrQvcoRKPSdcXEa59jXI8lADh0HwAaFqCIcpXz1XXPclyHdY0YpRBCiEDqVKnwkUcewefzHXR9ampq5b/POOMM2rVrV3k5MjKSGTNmMHPmTLZt28btt9/OCSeccBghi6YoOqycb65/hsWZHXn/j9FsyW1JpMvNuO5LuKT/bKLC3I0dohBCiADqVJiosUhhIiGEEOLQ1EthIiGEEEIcmSQhEEIIIYQkBEIIIYSQhEAIIYQQSEIghBBCCCQhEEIIIQSSEAghhBACSQiEEEIIgSQEQgghhEASAiGEEEIgCYEQQgghkIRACCGEENRxtcPGUrH+UlG5t5EjEUIIIZqXin1nsLUMm8Vqh9u3byc9Pb2xwxBCCCGarczMTNLS0mq9vVkkBJZlkZ2dTUxMDJqmBW1fWFhIeno6mZmZAZd6FPVHXoPGJc9/45PXoHHJ87+fUoqioiJat26Nrtc+UqBZnDLQdT1gVlOb2NjYo/6N0NjkNWhc8vw3PnkNGpc8/35xcXFB28igQiGEEEJIQiCEEEKIIzQhCAsL45FHHiEsLKyxQzlqyWvQuOT5b3zyGjQuef7rrlkMKhRCCCFE/ToijxAIIYQQom4kIRBCCCGEJARCCCGEaCZ1CA7Fhg0bWLRoEf3796dr166NHc5RYffu3UyfPv2g60899VRbc2BF6GRlZbF48WJat27NgAEDGjuco8a8efPYunXrQddHRERw9tlnN0JER6ecnByWLl2Kx+OhR48edOzYsbFDahaOyISgqKiIM844g02bNvH8889LQtBAVq9ezaWXXspFF11UraLkCSecIAlBA7Esi7vvvpt33nmH4cOHU1JSQnR0NN999x1Op7OxwzviLViwgLlz51a77scff6Rbt26SEDSQ//73vzzwwAMMHjyYqKgoZs6cySWXXMI777xjq9LtUU0dgS699FL1j3/8Q8XFxamXXnqpscM5asyYMUMByuv1NnYoR63HHntMJSQkqDVr1lRe98svv6iSkpJGjOrotX37dmUYhnrjjTcaO5SjQmFhoTIMQ/33v/+tvG7evHkKUNOnT2/EyJqHI24MwXvvvceGDRt45JFHGjuUo9b06dP54Ycf2LJlS2OHclRxu928+OKL3H333XTv3r3y+pNPPpnIyMhGjOzo9cEHHxAeHs6ll17a2KEcFTweD0op2rdvX3ldxekCj8fTSFE1H0fUKYO1a9fy4IMPMmfOHDk82kicTidPPPEETqeTefPmcf755/Pee+/hcrkaO7Qj3rJlyygoKGDs2LEsX76cjIwMOnbsSO/evRs7tKOSUor333+fiy++WGrpN5CkpCSee+457rvvPrZs2UJERAQffPABV111FWPHjm3s8Jq8IyYhcLvdXHzxxTz55JN06dKlscM5KqWnp7Ny5crKMRtr165l6NChPPXUUzz22GONHN2Rb/fu3QC89NJLLF++nE6dOvH7778zePBgvv32W8LDwxs5wqPLzJkz2bRpExMmTGjsUI4qxxxzDLquM3HiRKKiosjKymL8+PEyfsCGIyYheOmllygsLCQmJobPP/8cAK/Xy5IlS5g0aRJnnXVWI0d45OvUqVO1y927d2f8+PFMnjxZEoIGULHD9/l8rFy5El3X2bFjB7179+aFF17gH//4RyNHeHR599136d27N0OHDm3sUI4aGRkZnHXWWbzxxhtcc801ACxfvpyBAwfSpk0bGdgZxBGTEKSnpzNkyBC+/fbbyuu8Xi8rVqwgOjpaEoJGEhsbS05OTmOHcVSoSMjOPffcyjXPW7VqxXHHHceiRYsaM7SjTn5+Pl9//TXPPvtsY4dyVJk3bx4ej4eLLrqo8ro+ffrQtWtXZsyYIQlBEEdMQjB+/HjGjx9f7br4+HiuvPJK7rrrrsYJ6iizY8cOWrVqVXnZ6/UyefJkBg0a1IhRHT06dOhA7969Wbt2beV1pmmyYcMGxo0b14iRHX0+/fRTlFJcfvnljR3KUSU9PR2ANWvWMHDgQMA/DX379u2kpaU1ZmjNwhGTEIjG9/TTT7Njxw5GjBgBwMcff8zevXt5+umnGzmyo8d//vMfzjnnHLxeL126dOGbb74hNzeXe++9t7FDO6q8++67nH/++SQmJjZ2KEeV4447jtH/394dmyoMhWEY/voEG3dI4RpWqeMAQkgpgguZKiuErGDtGOIAkuJ2dhe0CsTnmeAvX87h/Ge/T9M0OZ/PKYoi1+s1m83mfYXA/1b922HbtjkcDqnreulRfsY4jpmmKa/XK7vdLsfjMWVZLj3WT7nf7+n7Ps/nM1VVpeu6bLfbpcf6GY/HI6fTKZfLxenYAuZ5zjAMud1u702Fbdt66fGBVQcBAPCZ1S0mAgC+JwgAAEEAAAgCACCCAACIIAAAIggAgAgCACCCAACIIAAAIggAgAgCACDJH/EI1seLn+tNAAAAAElFTkSuQmCC",
|
|
"text/plain": [
|
|
"<Figure size 600x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# 1b) + c)\n",
|
|
"from nnwplot import plotTwoFeatures\n",
|
|
"\n",
|
|
"plt.figure(figsize=(6, 4), dpi=100)\n",
|
|
"plt.title(\"Aktivierungsschwelle = 2\")\n",
|
|
"plotTwoFeatures(X,T,lambda X: neuron(X))\n",
|
|
"\n",
|
|
"plt.figure(figsize=(6, 4), dpi=100)\n",
|
|
"plt.title(\"Aktivierungsschwelle = 1.5\")\n",
|
|
"plotTwoFeatures(X,T,lambda X: neuron(X,1.5))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"id": "7d7af336",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
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"text/plain": [
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"<Figure size 600x400 with 1 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
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"<Figure size 600x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
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"text/plain": [
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"<Figure size 600x400 with 1 Axes>"
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|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
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|
}
|
|
],
|
|
"source": [
|
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"# 1d)\n",
|
|
"W=[-0.2,1]\n",
|
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"W2=[-0.1,1]\n",
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|
"W3=[0,-1]\n",
|
|
"plt.figure(figsize=(6, 4), dpi=100)\n",
|
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"plt.title(\"Aktivierungsschwelle = 2\")\n",
|
|
"plotTwoFeatures(X,T,lambda X: neuron(X,2,W))\n",
|
|
"plt.figure(figsize=(6, 4), dpi=100)\n",
|
|
"plt.title(\"Aktivierungsschwelle = 1.5\")\n",
|
|
"plotTwoFeatures(X,T,lambda X: neuron(X,1.5,W2))\n",
|
|
"plt.figure(figsize=(6, 4), dpi=100)\n",
|
|
"plt.title(\"Aktivierungsschwelle = 3\")\n",
|
|
"plotTwoFeatures(X,T,lambda X: neuron(X,-3,W3))\n",
|
|
"\n",
|
|
"# Antwort: Der Winkel der Trennlinie ändert sich"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"id": "18f65fc0",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# import numpy as np\n",
|
|
"# x=np.array([1.,2,3]) # Der Punkt bewirkt Datentyp float.\n",
|
|
"# W=np.array([[1.,2,3],[4,3,2]]) # Der Punkt bewirkt Datentyp float.\n",
|
|
"# W # auf der Console werden Variablen ohne Zuweisung ausgegeben\n",
|
|
"# # in Skripten müssen Sie print(W) für Ausgaben schreiben\n",
|
|
"# x.shape\n",
|
|
"# W.shape\n",
|
|
"# W.T\n",
|
|
"# x.T # seltsam ...? Logik: 1D bleibt 1D. x ist *kein* Spalten-Vektor!\n",
|
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"# y=x[np.newaxis].T # erzeugt 2D Matrix 1x3 (=Zeilenvektor!) und transponiert sie.\n",
|
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"# y\n",
|
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"# y.shape\n",
|
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"# # numpy-Arrays können beliebig viele Dimensionen haben:\n",
|
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"# M=np.ones( (2,3,4,5) )\n",
|
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"# M.ndim\n",
|
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"# M.shape\n",
|
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"# M.T.shape # Transponieren bei >2 Dimensionen ... wie ändert sich der shape?\n",
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"\n",
|
|
"# class myclass:\n",
|
|
"# def __init__(self,W): # Konstruktor, self entspricht this in Java/C++\n",
|
|
"# self._W = W # Konvention: private Variablen beginnen mit _\n",
|
|
"# # self muss beim Zugriff angegeben werden, sonst\n",
|
|
"# # ist es eine lokale Variable\n",
|
|
"# def f(self): # self muss immer explizit übergeben werden, sonst \"static\"\n",
|
|
"# return self._W*2\n",
|
|
"# m=myclass(np.array([-1,1]))\n",
|
|
"# m._W # Zugriff ist auch auf private Variablen erlaubt\n",
|
|
"# m.f() # m wird automatisch als \"self\" übergeben"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"id": "369a2d08",
|
|
"metadata": {},
|
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"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"#0 err:0.25\n",
|
|
"[[ 0.28677805 -0.07982693]]\n",
|
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"[[0.]]\n"
|
|
]
|
|
},
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/home/niki/Documents/Masterstudium/1.Semester/NNW/Lösungen_N/nnwplot.py:47: UserWarning: No data for colormapping provided via 'c'. Parameters 'cmap' will be ignored\n",
|
|
" plt.scatter(X[0,:], X[1,:], c=T, s=50,\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"#6 err:0.0\n",
|
|
"[[0.16177805 0.17017307]]\n",
|
|
"[[0.25]]\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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hhBBCIAmBEEIIIZCEQAghhBBIQiCEEEIIJCEQQgghBJIQCCGEEAJJCIQQQojD2o1zp9tq56jnOIQQQgjRwG6f/VHw/4U2HyMJgRBCCHEYqJoEHAxJCIQQQohm6lCTgKokIRBCCCGakWgmAVVJQiCEEEI0cfWVBFR10KsM3nvvPTIzM/m///u/sO2effZZMjMzq33179//YLsVQgghWoTbZ38U/GoIB3WFYOPGjdxxxx2kpaWRm5sbtm1hYSFt2rRh+vT9yx50XVY7CiGEEAdqqJN/beqcEPh8Pi666CIeeeQRPvjgA1uPcblcZGZm1jk4IYQQ4nDXmElAVXVOCO688066devGpZdeajshWLNmDX379iUmJobhw4dz33330b59+zoHK4QQQjRnTeXkX5s6JQRfffUV06ZNY9myZbYfk5CQwD333MPJJ59Mfn4+DzzwAEOGDGHlypWkp6fX+hiPx4PH4wl+X1hot6yCEEII0bQ05SSgKtsJwc6dO7nyyit5//33SUlJsd3BzTffjKZpwe8//fRTunbtyksvvcQ999xT62MeffRRHnjgAdt9CCGEEE1Jc0kCqrKdEPz888/k5uZyySWXBG/Lzc1F0zQyMzP5+eefa50nUDUZgMAVgwEDBrBmzZqQfd11113cdtttwe8LCwvp2LGj3VCFEEKIBtcck4CqbCcEJ598Mps3b6522xVXXIHb7ebll1+mXbt2to5jWRZZWVkMGDAgZBu3243b7bYbmhBCCNEomnsSUJXthCAmJqbGFYCYmJgatz/11FNMmTKFVatWAYEhg5tvvplu3bpRVlbG3XffzbZt27j88suj9BSEEEKIhnM4JQFVRb1SYWFhIdu3bw9+f+yxx3L66aezfft2ysvLGTBgAN988w1Dhw6NdtdCNCmasuhevJTuxctwWF7yXa1ZkXwcha7WjR2aEOIgHK6JQCVNKaUO9sGVcwjS0tKCtxUWFlJcXFxjWWFRURExMTE4nc4691NYWEhycjJ/n/sKMQlxBxuuEA2mXdlGzs7+N8n+XEwMQKEBGoplKWP4pt2VWJpUDheiqTsckoDCch+t/zaDgoICkpKSQrY7pHek2pYNJiUl1dphYmLioXQlRLPRunwrk7IewlB+AAzMavcPzP8Bt1nKp5k3wQGTboUQje9wSAIOhnxEESLKTtj1Lobyo2PVer+Oom/RQn4tXUt2fN8Gjk4IUZuWmgRUJQmBEFGU7N1Nt5IVRPrcb6IzOO97SQiEaCSSANQkCYEQUdTGszViMgBgYNGubGO9xyOE2E+SgPAkIRAiipStdKCSzB8Qor5JEmCfJARCRNGumC4oNDTCL94x0dkW16uBohKi5ZAE4OBJQiBEFBU501mfcBQ9ipeGnFQIgSGD31JPasDIhDh8SRIQHZIQCBFls9teTKfSNTgtD0YtSYEClqUcT05sj4YPTojDhCQB0ScJgRBRts/djre73M9Z25+jtWdbRWEi0LBQ6CxKO5k5bS+UGgRC1JEkAfVLEgIh6sHemExe7fYYmWW/0614GU7LS4GzFauSj6HMIUW6hLBLkoCGIwmBEPVF09gW15ttcb0bOxIhmhVJAhqHJARCCCEanSQBjU8SAiGEEA1KTv5NkyQEQggh6p0kAU2fJARCCCHqhSQBzYskBEIIIaJGkoDmSxICIYQQh0SSgMODJARCCCHqTJKAw48kBEIcIM2TQ0Z5FgqNnbFdyXNlNHZIQjQJkgQc3iQhEKJCRtlmxu56m06l66rdnhXXn+8yLmVvTMdGikyIxiNJQMshCYEQQGbpOi7a8gi6qrkZUafSNVy++T6mdrmXXbFdGyE6IRqWJAEtkyQEosXTlMlZ255DVyY6qsb9OhYO5eOs7c/zcvcnZFMicViSJEBIQiBavB5FS0j054Vto2OR5t1J59LVbInv30CRCVE/5OQvaiMJgWjxupaswMTAwAzbzsSgS/EKSQhEsyRJgIhEEgLR4jmUr17aCtHYJAkQdSEJgWjx8p1t0GqZO3AgHYt8V9sGiEiIgydJgDhYkhCIFm9FynEct2daxHamZrAq+egGiEiIupEkQESDJASixStypvNb6kkMyfs+5JUCBfySfirlRkLDBidECJIEiGiThEA0aS6zjHRvDppS5Lrb4THi66Wf7zMuxWWVM7BgLiY6BoF6BJX//y11HD+2Pq9e+hbCLkkCRH2ShEA0SfG+PI7d+wlH5P+Is2Iin19zsCrpaH5qfQ4FrtZR7U9pBl90+BO/pY3jqH0zaV++AYXG9the/JY2lt0xXaLanxB2SRIgGookBKLJSfbu4dKs+4n3F6Kzv3KgQ/k5omAePYt/Y2qXv5Pr7hD1vnfEdmdHh+5RP64QdSFJgGgMkhCIJufMbc8Rd0AyUEnHwm2Wcm720/y3+7+kaqA4bEgSIBqbJASiScko20SH8o1h2xhYpHt3SNVAcViQREA0FZIQiCalZ9Fv1Sb1hWJi0KtosSQEotmRBEA0VZIQiCbFZZUBdoYBFC6zvL7DEeKQSQIgmgtJCESTUuxIRYtwdQACKUORM7X+AxLiIEgSIJojSQhEk7Iq+WiO3/1+xHY6FiuTj22AiISwR5IA0dxJQiCalGJnGstTxjAw/wf0EFUDLXR+TxzMPnf7Bo5OiOokCRCHE0kIRJPzbcblJPjz6VG8FAs9uPzQQkNHkR3Xi887XNvIUUaXpixizSIUOmVGgiynbMIkCRCHq4NOCMrLy1m8eDGtWrWiT58+Edvv3LmT7OxsunXrRnp6+sF2K1oAU3cxrePt9Cz6lSH7vqNd+UY0pdgV05lf08azLmkYlnZ45LKx/iKG7vuGwXnfE2cWAZDnbMOvaeNZkjoWv+5q5AgFSBIgWoaDfle96aabmDJlCmeffTbTpoXeKc6yLK699lrefPNNunfvzsaNG7n99tt5+OGHD7Zr0QIoTef3pGH8njSssUOpN0nePVyS9SCJ/rxqRZhSfLsZu+sd+hYs4P3Od+E1YhsxypZLkgDR0hxUQvDhhx+yePFixo4dG7HtSy+9xAcffMDSpUvp06cPCxYsYMyYMQwZMoRzzjnnYLoXovlTij9kP0HCAckAVC66VLQr38zJO6YwPfOGxoiwRZIkQLRkdU4INm/ezM0338zMmTP5y1/+ErH9a6+9xh/+8IfgsMKoUaMYO3Ysr732miQEosXqXLKKNp5tYdvoWPQt/JlZvospdqY1UGQth5z8haiuTgmB3+/noosu4p577qFv374R25umyYoVK7jmmmuq3T58+HBeffXVkI/zeDx4PJ7g94WFhXUJU4gmr2/hz7YqMgL0KVzI4vSTGyCqw58kAUKEVqeE4O6776ZVq1Zcd911ttoXFRXh8/lqTCJMT09n3759IR/36KOP8sADD9QlNCGalVizuNbNmw6k0Ik1ixsgosOXJAFC2GM7IVi8eDH//ve/effdd5k3bx4AeXl5uFwu5s2bx7Bhw3C73dUe43Q6gcCKhKrKyspwuULPnr7rrru47bbbgt8XFhbSsWNHu6EK0eSVGQlYNq4QaFiBZYiiTiQJEKLubCcEZWVlDB06lKeeeip425o1a9B1nTvvvJNp06aRkZFR7THx8fGkp6ezffv2ardv376dTp06hezL7XbXSC6EOJysTh7FUfmzbbVdmzSinqM5PEgSIMShsZ0QHHfcccErA5VOO+00YmJiqi073Lp1Kzk5OYwcORKAcePGMWPGDO68804gMK/giy++4Mwzz4xG/EI0S1vj+rHL3YlWnm0hrxJYaKxOPppi2bMhJEkChIieqFd3ee2113jmmWfIz88H4N5772X48OH83//9H6eddhpvv/02RUVF3H777dHuWojmQ9OY1ul2JmU9SJIvt1qZ5sr/5cT24Ot2VzVOfE2YJAFC1I9DSgj69+9fYy5Ap06dGDVqVPD7fv36sWDBAp566imeeeYZevbsyc8//0yHDh0OpWsh6qR//jyO3fMRqb7dQGA/hC1x/fgu4zL2xTTO72KhsxWvd3uYIfu+ZfC+70kwCwDIc2WwOG08S1NOwJRKhYAkAUI0BE0pVfsOMk1IYWEhycnJ/H3uK8QkxDV2OKKZOXfrk/Qq/g1FZdEfqm2b9GmH61mbfHQjRFaFsog1S7A0HY8eJ3sZIEmAENFSWO6j9d9mUFBQQFJSUsh2h0dBeCFCOH7Xe/Qq/g3YnwxU/b8Cztr+Ai/F9qDA1aahw6sSkE6ZI7Hx+m8iJAkQovFIQiAOa0P3fVPtysCBNAJJwUk7p/JRp9tCtBL1QU7+QjQtkhCIw1b3ot9wKp+ttt2Kl9VzNAIkCRCiKZOEQBy2Wnm2R25E4CqBgb9+g2nBJAkQonmQhEActkodoSfPHEih12MkLY8kAUI0P5IQiMPWqqRRnJLzChoq5BwCCMwh2BXTuaHCOmxJEiBE8yYJgThsWbqLzfFH0K1kecg2lcsPZ7e5sGGCOsxIEiDE4UMSAnFYm9bxVq5ffwvxFUV/ql4pqEwGlqSMZUvCgAaPrbmSJECIw5MkBKLBtS9Zx2k5r5Dq24mGwkJnW1xvPml/A2WulKj2ZekuXuj5DGdve54exUvQquwbUK7HM6/12SxOnxjVPisl+nI5Km8WPYp+w6k85DkzWJp6AusTB6M0o176rC+SBIiDsdkq4RXvZr7x76Qck156Ilc7u3KyIwOjjsW3ipSPd33ZvOvbym7LQ2vdzUXOjkxydiJJc9bTM2hZpFKhaFCnbXuBAYXzg99X1gGo/PfzjD+yMm1M/XRu+elZvIRYs4Td7kx2xvWon36AI/J/4JScVwHQK5IQCx0di13uTnzQ+a+UOFLqrf9okCRAHIoXvRu5rXwZOhpmxfU4o+L/w/RUpscfQ5pmrzT3YnMfp5fMJw8vQLXaIsk4mR53DCMcafXwLA4PUqlQNDlH7/4omAzUVjUQ4LSd/2VnbBf2xtbDJD/dwfqkYdE/7gF6FP3GqTn/Bao/t8rEoJVnGxdseZw3uj2IpTWtP0FJAkQ0/M+Xza3lgdoeZpVC4ZX//83K56zS+cyJG4Me4UrBFquUiSXzKMFfreR45f+L8HFq6TwWJYylqx4fzafR4jStdyNxWDtm73QgctXAM7e/wJQe/2yosKJLKUbv/hCFVm0Hw6oMLNp6ttKr6FfWJo1o4AD3k5O/qA+WUtxbvipsGxPFL+Y+vjd3M97RNmzb57wbKMHEDHksKMPkWe8Gno458uCCFoAkBKKBdChZi4E/7PK/Sq299goKNUVtPFto69kasZ2FzqC8WQ2eEEgSIOrbT2YuWao0YjsHGq95N4dNCPzK4g1vVrWrDLW2Q/GmN4t/uo/AqUlNkYMlCYFoEJ1LVtlKBiqvEjRXKd49ttrpWKR6d9ZzNAGSBIiGtNkqsdXOj2K9VRy2Tb7yUWSzimgJJrnKS4YWY6u9qEkSAtEgPEbLmAzqr8NsZ7/NCVUHQ5IA0Vhi67CCJpbwbWPquBonRq4OHBJJCESDWJpyPON2TQVCzyGAwNWBupxUm5rtcb3wac6ImypZ6GxIPCqqfUsSIJqC0Uar4GqCcHRgojMjbJsEzcFQPZXfrLwqC4ZrP9aRegop9ZhktwSSTokGYRqx5DnbRGynAUtTTqj/gOqJx4hjRcporAh/WhqKpaknRqXP22d/JMmAaDLa6jGc5+iAEWGQUEfjKmeXiMe70d0jbDIAYAE3uLrbjlHUTq4QiAbzVuf7uXHDDehYNd4qKtcVFxkpfN/u8kaILnrmtLmATiVrSPPuDC41rFT5PL/LuIw8V/hPR+FIAiCasidiBvJLyT6yVVmNKwWVf/v/iRlMOz024rHOd2TylWMHH/i31XrNQQPOdXTgYmenQ467pZOEQDSYMlcyz/V4jqs3/414s6BGUpDj7sqbXR6o83HblW1kYP6PJPr24tNj2JA4mLWJwzH1/UMPhuWjT9FCehT9hssqp9CZzvKUMeyIjf6nCo8Rz1td7+fEXe8yoGAeDrV/UtQ+VwY/tjn/oFYXSBIgmos2egzz4k/gr+XL+cC/rVoFgX56Eg+6+3Oqs52tY+maxmuxw+jvTeYZ73pylTd4XxpObnL35A5X74j1DERkUqlQNKi2ZZv5Q/aTJPoDY4I6BP/dFtuDaR1vp8zmtsVus4Sztz1L15KVmOgYWFgV6/9LjEQ+7ngr2+J606F0HedmP028WRS8v7L95vj+fJJ5Mx6jfgqaxJgldCxdg8PyUeBsRU5sD6jDG5ckAaK522N5mG/uxYuimx7PYD0F7SBP3l5l8aO5h1zlJU1zMcZojUsmEkZkt1KhJASiwaR6dnLl5ntwWp4al9IBTHRy3R14s+s/8OvhJwfpys+krIdoX7ax1mNZaJiagxntr+X0nJcwlL/WQkEWOjmx3Xmnyz1NpmqgJAFCiGiS0sWiyTlm7ychkwEIVPBr7cmmf8FPLEsNP7GwV9GvZJatD3m/jgJlMn7nGxjKDFk1UMcis2y9VA0UQrR4khCIBuE2S+hXsCBkMlBJoTFk37cRE4LB+74LXv4PRcci3iyMWBDJQmPwvm8bLCGQk78QoimShEA0iFTvboyQ1cj301Gke3MitmvtyQ6bDFSyM1Kpo2jj2Waj5cGTJEAI0dRJQiAahFWHiT/KRnkMO23qIlLdgIMhSYAQojmRhEA0iFxXe8r1OGKs8JueWOhkx/WOeLwt8X3pXbgII+IQROSrBCY6W+L7RuzTDkkChBDNlSQEokGYupMlqScyIvfLsPMIdCx+TRsf8Xi/pY6jX+EvYdtY6OS6Mkjz7gybOBhY/JY6LmKfoUgSIIQ4HEhCIBrMglZn0LPoV9K8u2pNChSwJmkkGxIGRTxWdlwffks5kaPyZ9V6BcBCp8iZyieZN3NB9j9J8OXVmhQoAqWSs+P61Om5SBIghDjcSELQDGnKonvxUjqVrEHHItfVjtXJRzeJHQXj/AX0L5hPsm8Pfs3JpoSBbI3rB5qGx4hnapf7mLjjVXoV/QpQsVLAwtScLE4bz5w2F4Cd+QaaxjftrqTEmcKIvV/gVB4sdDQUOorN8QP4ov0fKXGm8maXBzg15790L1mOhYaq6NOnufgl/TTmtT7bVrEgSQJEQytTJh/5trHUClT2HGqkcpajPe467gIohB1SmKiZ6VSymtO3v0iSPw+zYutQHRO/5mRu63P5Jf20OlXCixZNmZyw632G7vsGDSs46c/AJNfVjk8yb2JPzP5a40nePfQsXoLLLKPYmcLvicMOOqFxWuX0LlxEom8fPt3NxsRBte4TkOrdSfeipTgtD0XONNYlDcOnh987XZIA0Vimerdwa/kyCvHjrLgO5kORipPnY4/iPGdmI0comgupVHgYyixdx8VZD6NhhVxyN7f1OcxrfW7DBqYUp+T8l4EFP4a8fO/TXbzR9UH2uds3bGwHQZIA0dje8m7hmvJfw7Z5J3a4JAXCFqlUeLhRigk7XgubDAAcu+cTlqeModDZqsFCa1+2gSMLfgx5v46F0/Jy4q53mNbpLw0Wlx1y8hdNTYnyc2v50ojtbixbwhmO9lLLX0SNJATNRPuyDbaK5yg0BuXN4sc25zdAVAGD874PbhYUio5Fj+JlJPn2NmiyUhtJAkRT9oEvm2IbRbz24eNT/3bOd3ZsgKhESyAJQTPRrnwTCg0tQnU+HYv2ZRsbKKqADqXrI9YDANBQtC3LapSEQJIA0VwsNvNwouGL8LfuRGOxmScJgYgaSQiaCU0pW0V2GkOkJKWxSBIgmiu7f1FN8y9PNFeSEDQTO2O72qrdb6GzM6ZrA0S0X05sd5J8e21VDdwd07leY5EkQDR3g4wUXvNlRWznQ3GUnlLv8YiWQxKCZmJbbC9yXe1I9e4MmxhoWCxJPbEBI4PfUk+if+GCsG0sdDbHD6DA1Trq/UsSIA4nFzo7ckf5CsoizCNIwck5zg4NFJVoCSQhaC4qCvFcuOUxLAiZFPycfjoFrjYNGtq2uN6sShpFv8Kfax0+sNDxaw5mt70oan1KEiAOV0mak3/GHMGNEVYaPBVzJDFSoEhEkSQEzciW+P582OnPnL79JeLMomBhospCQAtancHchq5BAKBpfN7hT3j0OAblz6x2lw4UOdNqFCZqXb6F4blfEWOWUuBsxbzWZ1HuOGB9rFK0K99UMUlSccLqLJQvnfqdSaHQnLlojoLAd75UlD+1nvsUoro/uroB8NeKKwUGGhqBYYIEDJ6JGcQkV6fwBxGijuqcEKxdu5bPP/+cvXv30qtXL84//3wSEhJCtv/mm2+YMWNGtdvi4uL45z//WfdoBZsSjuS5Xs/Tu3ARHUvXoiuTXHd7ViYfR5kjsdHispROjFmMRuDUWXmdQAEOy4NVcUJN8u5hUtbDJPv3BB+rAUPzvmFrbB/e7XwX6A46lP7OhB2v09azlcrSWVoaWP4EzKJBKG/0r4Jort0YiUvRHcX7+9TA8iVhFh1VkYwI0TD+6OrGRc6OvO/LZomZj4bGUCOV852ZxGvyWU5EX50qFf7rX//igw8+YNy4cSQlJfHJJ5+wc+dOFixYQIcOtY9lPfTQQ0yZMoXbb789eJvb7eaaa66xHaRUKmz6Lt78IJ3L1tZ6nyJQH+G9jndw/rancChfrZ+3FZDnbEvirp44Un8KPOqAhoHfVg1//iiUt2Z54oOluXbiSFkQvs+841C+xq2hIIQQdVUvlQrPOuss/vKX/ZXmbrvtNjp06MA777zDHXfcEfJxbdu25YYbbqhLV6IZ6Vm4OGQyAJUX2xUXZD+JgT/kxXcNSPPtQqXkUtuJGQKf2JVSOJIX49tzChCNKm0WjuTFNvpchG/vycjwgRDicFSnhKBnz57Vvi8rK8Pn85GeHv5S6q5du7jrrruIiYlh+PDhTJw4se6RiiZr9J5pEWskaBA2GaikFGi6P2wbTQM0L3rMdqzyQy/Koru3o+neyH0aZWiuXVG9MiGEEE1FnQeiduzYwcMPP0xJSQnz58/nuuuu4/LLLw/7mA4dOhAXF0d+fj4XX3wxo0eP5pNPPkHXa/905/F48Hg8we8LCwvrGqZoQOmeHFufmW210SqSggiNldLQnHshCgmB5tobOJ4WfvRMKQ3dtRdTEgIhxGGoztdb3W43ffr0oXv37iQmJjJr1iz27NkTsv3ll1/OvHnzuPfee3nyySeZP38+X3/9NW+++WbIxzz66KMkJycHvzp2lNKcTVsj1UvTIpdLjv5xotSnEEI0MXVOCNLS0rjhhhu45557WLBgAcXFxdx///0h2x94Mu/bty9Dhgxh3rx5IR9z1113UVBQEPzKzs6ua5iiAZUZCVFLCexPcVUof3RWVQSOY6djhTIbbyWHEELUp0Nau+J0Ohk0aBC///57nR7n8Xjw+0OPE7vdbtxu96GEJhpQTH4HtMTwwzpVT/SRhgOqL1wM3cYqi846bKusE0bCKht9Gljlsv+8EOLwVKcrBN9++2217/fs2cPs2bMZMmRI8LYvv/yy2oqDb775ptpjZs6cyZIlS5gwYcLBxCuaiNtnfxT8skp7oyxHyE/3lbebZZ2rfV97Ow2zuFfYvpUCq6QXqJiDC77GAWOwSnpFvDphFvcF5YxOn0II0cTU6QrB1KlT+etf/8rAgQMpKyvju+++Y8SIEdx7773BNgsXLuS///1vsPDQ+++/zx133MGgQYPYu3cvM2fO5JZbbuGii6JXxrYlijGLaV+2MVCYyNWePPfBT3RzWOUcmTeHeLOAfEdrlqeMBr36r0b4UsE6vtyTcKbPBM0XnBRY9QRrlvTCKhkA/lSMxKUA1dppGqB0fHljwJ+CX9Mx4tcA+68oVLazSntilvQ7iGfqRY/LAs2L8iehPJlU5sRmST/QLPS49cD+CYZKBa5WmCV9sUp7hjpwk1JQFsfCrT0p9znp0XoHfdtuP+hjmUrxi7mPvcpDuuZipJGOUcslnn3KyyJzHz6l6K0n0tMIXaxMCNE01akwEcDvv//OwoULcTqd9O/fnwEDBlS7f+HChSxbtqxa4aHKx8TFxTF48GC6dOlSpyClMNF+cf4Cjt/1Pv0L5+NQ+4ddtsb1YU6bC9geF/7TdVW65ee87CfpWrKi2t4IFjqrk0bSa30b6nIRSY9biRH/O1qVhygVGKP35x8LVixgYcSvQo/fiFZlMp+ynJhFR2CVdwncYBTjSFyG5tpVLSFQ3laBSoVm6OIaNXlxpP6E5syrNlyhlI5Z2g2reOD+G41ijNgsNEdeoI0vDbOsK1hN//duX0kCf//qYt5eeDzl/v1DbsM7r+OBie9xYq8Vto9lKcXz3o085f2dHao8eHs7LYZbXT250dUDXdPYZZVzT/lK3vdvw1tlwuWxRisedPfnaIdUdxSisdktTFTnhKAxSEIQkODL47LN95Hoz0M/YLa7hY5CY1rH29iUOCjisXTLz7UbbiHRn1djOWBlTQHLl4J/n72dE43ExeixW4GacwSUIvDpP3ccjqQlaK7dtbbRNPAX98Uq74Az7QfQ/DWWAiqlgdLx542u2GMgEi/O1l9XHKv2Ps3ydpgFo2w9z6YqtySBMc8+wqbcDEyr+oY3umYCGm9f+jTnDZof8VhKKa4t/43XfVtCtrnc2Zn7XX0ZXfoDO1Q5/gPmX1TW3p8WO4qJTlmmKURjspsQRKPMm2ggJ++YQkItyQCAjoWGxVnbn8NllkU81qk7/ltrMgD76wXoznz0uDWRA3PkhkwGgrdpFo60ObUmA1Uf50hYgyNlfq3JQKCdChwr5WfsrAxwpM6vNRmo2qfu3oHmOvjL6k3BXz69stZkAMBSBkrBle/cxO6iyFdWPvJvD5sMALzp28I5ZQvIqSUZADBRmCgmlf1CkfLZfyJCiEYjCUEzkezdTY/iJRhh1sHrKFxWOf0Lfgp/MMuif/78iOdTpcCI2xgxNkficiD86gFNA033hG5QpU/dURq2SJCmKTSjDM21M8LRvGjOfTZWNYCRsDpyoyZqd1ESHyw5ttZkoJJCx28ZvLlwbMTjPefdgBGhjJQOLLEKMMP8EimgFJN3fFsj9imEaHySEDQTXUvsjf8qNLoXL6n1vuDKgJ+mBE6qEU6UmgboXiIV49GcBbZOupoWecnhgZMRQ1FKQ3fvCttGj91mPy5HUeSGTdQPGwbgtyLPD7aUxoyVw8K2KVI+fjb3hT3RQ93KM33li5S4CSGaAtlDs5lwWl4UGlqEN+rAVYL9dflrXR2g2b+EGzih+gFXmFaNVanQjHB/+D0RDhelPrs1OzRKveHblqvoVmKsvEoghGj6JCFoJgqcraqtBAjFRCczt4TbN4dZJmgm2dovACo/rYdLBgDlQOGzdTx7/dlsa4afYGr5Uuz3qZrvxbLOqaFLh1dl6Cbd0sN/Wk/RnMRhRO0k7kCjqx4flWMJIepX830XbGE2JgyizIj8xmpgYZV1Cd/IikWZcRFPvkoFlt1FYpV1tLEZUeVXtLYOVlgVhY5C8rUJWzCpKsvTPjphNYLR3VeRmbKXSBfyTcvgypEzw7ZxajqXOTvjiDCHwEDDbePtw4/iCmeXiO2EEI1PEoJmwtSdzGt1Ttg2SmlYnta2TuJm8YCKx4Q6VuBff9GRto6llBb2xBtY3pcZoU8NLDdWadewx1IKrPLOtmoDmCW9I/RZ0a5qLYJmRtcV9098j3B/zoZuMjhzA+P7LI14vJvcPXCjhzyaDrjRuc0VvlCTgcYYoxWjjMi/j0KIxicJQTOyOG0CZkmg8FDVT9qV/1e+NPwFI7Cz0bDyZGIW96t4/P4TY9X/+wuGgq21/g58+44P9lv15Ft5PLOsA1bhcPwFwwH9gPgrHmO58Ocdh1l8JFZ5p9DP09Mes3CQjbjAKu2NVdY1ZFyg4cs7FqwolUFuJJcOm8PDp74NBE7+lYyKeRYD2m3hs2sextAjzxHoricwI+4YEnDUeIPQgXgcTI87hvvc/firK5BwVb2iULlCYbiRyv/iRqJFYyzpEGy2ivnMt52Z/t34LdmtUohQpDBRM3DgxEDNkY8euwndtRs0hfInYZZ1RXkyqHOOZxRgJC5Hd+UCFigdy5uBWXQEWHUb+9UcezCSf0UzSqtUF9QxSztjFR9ZEZtCj92AEb8OzfBWtAlUMzSLBqB87SqOptCcuRXPMzdwiy8Vs6wbytsaO0lPNY69OBJXojnzAAXKwCrvgFk0AGjeyUBVa3Zm8vL8CXyzZjAev4OerXP449HfcsYRC3EadZsXkGt5eMu3lXd8W9irvLTSXFzs7MTlzs6k64HJiXs9OmdsyefX9HngrKhoaGlk5A7ilaQ+jG8dealpffnQm81fPSvYXqXSogONU4wM3o4dRowuU6hEyyCVCpu58HsHND2aa2ewWFDVGgLBKw/etvjzR2IkLsOIy6oxqTG4Z0Dh4P3li0WTllNm0D9nDaXpq0GzqudopgP8MUzxnc0l7UsaPLbHPGu5zxO6tkQrXKxPOJk4SQpEC2A3IZC/hiakuSUBQZoHR8ovgFVjcmHwe9cuHMm/oMfsrH57sJ0KFEJK+g3lS6vjXgWiMZy0qZDSDmugtmEIww9aGVf7v+YM32iSnA33uWOtWRg2GQDYi5dTS39idsKYBopKiKZPEoJG0mxP/rXQY7MAM2KlQtw7wy53DBQl0tDjNmIWHVUPkYpoWV3oZGP7maCHGYbQTVT8Hu7eHMtzvUobLLY7ypfbajffyiXf8pKiR1hWK0QLIQlBAzqckoCq9JhtttrZqxqo0GO2SULQxD2zwwEZNgo/WTrTza08R6v6D6rCj+Ze221f8W3mL+7e9RiNEM2HJAT17HBNAqrSdG9UihLtP2DLqDDYnOWaZqCYkxZh1r5uUWqUQAMmBN46VM7crRpv0qMQTY0kBPWgJSQBVSkzFvSy6CUFlt1SvKKxdHQ4ap87cCDTINmfUu/xVBWLTrHNSotdNamiKEQlSQiipKUlAVVZ5Z0wnPvCtqlc8x9YhRCunRa5AqFodHd28vBScRy4IswNMEwuj2kPNNxKg9Md7XnPnx2xnQFc7exa/wEJ0UxIQnAIWnISUJVV3gkjfg1K94bctljTwCzpihG/KeRxKvcUMMvkTbqpy4gxGbXxZBZkfgKhtqo2HbgLunFX54ZddvjPmCP4oDg74o6M5zgycelSm02ISpIQ1NGhJQGKQL15jegUibQqjqkTulCPBXgJvNT19HIrB/78Y3GkzkXhrVFfQNMUZknPQIljMwFH0vLg7VXbgY4//2hbJYlbKqWg1Osm1ulF1xu3hMjXvWHA7yeSnTkTLGP/ioOKipKO4g58lzwEh7F/nN6yFPt8BnGGIs4ROn5LKcowicVAr+NYVBs9hvdjR3BB2S8hZxMM1lN4K2ZotdtMpSjHJA4jbHVFjwpsDh2jGSHbVL5OMU6freqQkXhU4GfrDtOnEIdKEgIbDvlKgOZFj9uEEbsJzQhUTbN8qVil3bHKO1K3qnsKPSYbPW4jujMvcIsZg1nWDau0G6iKJVRGAY6kpWjO3P1VAy0HZlkXrOIBRLtqtfIn49t3LI6kZVDRZ6AcsRN/aQ+s0t6AhlXWA58vLRB/TA6aZqIsF1ZZF8zSbpIMhLB6Z0ee+/FU3v11NOU+Nw7dz9kDf+aG0V8wssvvjRJTjAPW9k7mvs2X8qq1jvzWv4Fu4ijozCnFI3mmq0WH2EAysLrQyY3Zfn5Km4uKD+zOmLhrMFfSj0e7leKoOM8t9O/jOe8GPvZvx48iBp2LnB250dWD/kay7djOdHZgqX4St5Qv4wdzT/BqQVvc3OTuyZ/dvYJt5/r38px3A5/7d2CiiMPgUmdnbnB1p5eRCEC5MnnLt4UXvRtZYxUB0F2L51pXd65ydSFeC7yVZu1rzYtzT+H1X8ZSWB6PrlmM672EG0Z/aWsfiapKlZ/XvFm86N3IRhW4ytJHT+Q6V3cud3YOm5AIcTCkUmEtojoUoJfgTPsR9DKAKiV9A/+3yttV7D9g5wRtVRT32VFtPX/wFbRi8e0bDY5CnCkLqvVXrU9/HP7c8Tb7tEdz5OFInQeav8Ynf01TmKVdMYsGUTP5UbXcJqr6bPlwLn7rdkDDb+0/CTh0P6Zl8NTZU7juuK8aL8AKlqWwlBY8uVf6Yncs55rfomL3Va9bUHFVoXP2Sazsk8xr5gZuKV+GgYa/ymf7yn0SpsYO52xnh4OKzW9Z6IB+wBDBE5513O1ZhaOWPg00psWNYpSRximl81hkViTgFW0qf2v76Ul8G3ccv28ZyOkv30uZ34VZ5XUydBPTMvjziZ/w0KlTbU2+zbU8TCidy0qrsNY+h+qpfBl/LEmas24/CNEiSeniOqqf+QAKR/p3aEZJyLF1pcAq7YlZfETEoxkJK9Dj1od8Q1FKQ5lxaEbg00TodmB5W2Hmj7b1LCLSfDhbfQOaL+TzBPAXDsQq6xGdPluINTszGfrEk5iWjgqTwH31p/s5sdeKBozMnkKfRtvdC7DidkGovRSUxpF7jmNZmx9DHkcjsGnSovix9DOiU8Vyui+HP5T9HLZPNzpjjNZ8b+7GDDEAYaAxgrasfHQjxV43lgr9yf2VC5/nsuGzI8Z2Ssk85ph7wvZ5miOD/8WNingsIaR0cQQNMSFQc+1EdxSHb6OBHrcJs6QPqDDZvuZDj9sYoRqgQnNEnsClaaC79mLiBQ69SpsesxW08LUIlAIj/nessu7IFQH7Xph3CkDYZMDQTZ6afWaTTAju3RyDlZETvpGmWJY+Hx1CTgSsPC2+4N3IC7HRKVr1L++6iH36UHxj7gp7HBPFfHaipa5F7Rwcsp2GxT9nns2lw2aH/VtZYRYw09wdsc/p/h1stIrprieEbSuEXS1qiu3tsz8KfjUEPTa72va9oWiaie7eEf5Y7h1okYrAUH374vB9gh6/PnJDG/SYrbb604xyNGduVPpsCZSCdxaNwW+Fz9tNy+D7dYPILWl6J4YPrc1g2XibMfwRVwX4Ubzj20o0LmpusUpZaOZF7DPUJ/QaLAN1xLthmyh01u/pwPKcLmHbve/LrraddCg6Gv/z2asSKoQdh/0VgsZcGqhp5WEvoVdSCtAjVEzTPWH3AdjfZx3iq5jXcKg0o9x+v5Gepwjymg5Kffa2ZlZo7C1JIj0+/BWphlbiyrNXwMimMkzKMIk7xLeuvdGuUKiAismSkewuDj850m5sOlJpUUTXYZkQNJn6AMpl6yQOgBXh0r1lb/JQ5YcnO30qFZ2KgMpy2a9UGG5YRFTjMvy4HV48fnvDOimxDb/NcCQx/kTKLQ2itETShU4shz67PiXqk/E0KEuz1TI1NnzSlmwzNgtIQ/6eRPQcNkMGDT0cYIdVnmnzk7OG5ckIfyxPO+yMvdv9pK4UWMU97TWOILB00kaflgvlbbia9s2dpsF5R87HoYff28HQTI7uupq2iQUNFJl9p1o9QhcuqsrSI/52O9A4z9EhbI0Au7pp8QzQkyK+ARp257sYfvTV50ZoZJGZsofBmaGLcwGc58istuIhFBPFuc5Me/EJYUOzTQiqJgBNKQmoyvK0R5kxYecRKEWgVG+kT+vKjVXWOez8gMAqA3fwuOH6VL4UwN7l6EgC8Tsi9mmW9qAZ/8o1ihtGf4Gpwv/MTGVwy/EzGiiiunmsiw+tPC2wxDAUS6db7rCIp0ATxfXu7lGJS9M0bnP1ijiHAGCknhY2MXCg0V+l49gxDC3sETVuPX56xIJSw4xUhuqpYfs00DjeaB21FRdCQDN7d75x7vQmnQDUpOPPP6biZFn9j7ty8p/ypWEWDbR1NLNoIMqXVuvEQaW0YMVAs3BwsI/a+kQ58edFackhgHLjzx8F6KGfp6c9Vkmv2h8vQhrccRMvnPcyGgqHXn3ZnqEFvv/buA8584iFjRFeRG1iTF72nQq+WDAPGKG0NFAaabuG80unTO5x9QGoMSBgoKEBz8ccxVDD3mV5Oy52duQmZyDBOPCN0IGGDrweO5RpcaPorsfX+mZpoJGhxfBp4jDev/xJHIZV43XSK16nS4bO4bpjI9eL0DSND+JG0EGLrTUpMNDoqsXzduwwO09TCNuaVR2CPY+cTlJMMxwz00sx4tejx2ShVbxZKDMOs7R7oLpgncZETYzEFegxW/YfS4HytsFfOAisipnmzt04EpehOYqqFDDSsMrbYxYOITh9RC/FiN2MHpMNug9lBa5EWGVdqly1MDESlqPHbqmy3a2G5WmLWTCU4NJFoxAj/nf0mG3BFRGWLxGrrEfgeLLc8KDN3diPp2afwVdrhqAqrhgc120VNx8/ndMHLG7k6CL7ao+La4tXsyN1RXA+geaJZ0zBMXzSJTFYxvhz3w7+7V3Pj+beQBvgZCOD29w9Ge1oXac+swpjuXRZBovazEIlZ4E/lpTsE7gzuQ239tsCgFKKj/3b+bd3A7+YgQ26dOBMR3tudfVihCOQgOzze5iwbzXL3Vn7h0AU9PZ24vOUI+jkDPytLNvehadmn8m0pUcHV4cc2WETN43+nElDf6jTpN9cy8O/vRv4r3cTefgAaK25+KOzGze5e5CiHfqSYdEyHJaFiZptQhBkgl4OaGDFUvcTpMJIWI4Rv7FGpUJNA8uXgj/vmAOGH8rBUQQ4wJ9M1c9CmjsHR/JCAjsQquCxAv9x4M8/BuVLwdn6czTdrLVPpcCXexKYVX/J/GB4QOlgxRzE8xSh5JfFkVuSSHJMKa0Siho7HFt2WGVMLJ3HGquo2rr/yuqAd7l6c5+7X7W5AbmWh3x8pGuugzrxTcvKYBJfQ+qmwN4KlZfpTQcYfnovvYnlo6sv2dtjeSjER2vNXa0CYIFP0Tl3HmVxe6oX1qz4v7M8mTVJJ9AxZv/fVrEnht3FycS7yg95bodPWeSoQMnzDloMDq1ZXdgVTYAkBIchPe53HIkrQ96vlIbypeLPG0Okk7DmyMORNodQ2xEHhhYcoAzQPWGrHoKGb/fZ9p6EaFFMpRhRMpPVVlHYNf3PxQzij65uUelzT5mTzF2LIXkLGKEnZI5d/he+PHZjxONlbP+VvIQtof+kFMSWtSU/45iDjFiI+mU3IZBUs9kwMeLXhW2haQrdtQ/NuTfi0fT43yseE+pYgOYPmwxUttM0hRYXPjbRMn3l38kKqzBigZ+HPWvxq+jUK7jk106QtjFsMoDSmNnhE0wzfFw/FFrhkwEIrDiM28Xbe8KvBhGiqZOEoJnQ3DvRdF/EdkppgbH+sAfzobtzIhZNqssSRkdcdKoeisPLm74sW0v3dqpyZpv2CvtEMjf558jVETUF6Rt4YGX4VQu35Ef4W6qk4P5ySYpF8yYJQTOhGaU2SxIrNL00fCPdXgXFwPFsNYMIa+VFy7TFKrVd/nebFZ3KmWZStu3qiCtLwr8F7jEKbfeb72geczqECEUSguZC2SsqGRz7j8Kxgsez1VAmDoqaEjX7v2vx2qFXIATQvPG22yZFCM8dYR+Jqpw2q4kK0VRJQtBMWJ629tt620VoEIPlS4p4srdbdlnTwPLWbUmYaBlOd7S39SbjRGOs0SYqfWbuPC58IaRK3nju77M9bJNLjW72FslocJqSrb1F8yYJQXNhxaE87SNWPUQ5sMoilRLWsEp72NooKdLuiZX3B+oRCFHdZa7OuAlflthA40JHR9L16Oyt8e8uBJa8hkt4LYNW6/5Al6TwwxT3tnWj+WLCH0sBpoMXM6RqoGjeJCFoRvyFg8CMqzUpCNym488fiZ09q6zyzphlHUNUPQz8axb3xpc/otpttbYr6UWwOJEQVaRpLqbGjsBAq7X8loFGbz2RJ2LtVeu049SOuzlp9S0E6n3U8hZnGeg7j+KnIyJP0jUMnVes8YFj1ZYUVNz2iHcCLocMm4nmTeoQHCq9HD02C921CzQT5U/EKuuK8qVTtYKJ5sxDj92E5igEpaO8bTDLuoAVV7f+NA9Gwhr02C1oWtVKhW0xi/uh/Kl1OJhCj12HkbAuWPUQQFlOzKL+WOUV68KdO3Gm/AKaWa0wEWj4CwegynsGj6e59qDHZqEZxYGrFZ4Me3s11LO80njeXnQ8n68aRmF5HF3SdnPZ8FlM6LMUo47b85Z7HTz4zQVMXXw8BeVxuB0+Tuq9jH+e8SYdUvYF2+0tTuSNhSfy9eohlHjddG+1kytHzuSEHisi1rM/ULFP477NsXxgZVHszCPWn8hE1Y3HuvhoE7P/tdtplfO6L4vv/LsoUya99UQmu7pyrJEeLPxjWYo3tsfzZOFecmK2oysHAz1deay9mxGp9bOd7gJ/Lv/wrGZWlZUECTi4ytWFe919g4WAss0SLilbxGIrDxOFE40TjDa8ETOMNGN/0rk5tw1TFozjx439MZXOke03c83R33JU5uZgm2sXd+e15C+g7er9gfhiaL32fBYM9NMxMVDsp0j5eNeXzSe+7eQrH5l6LJc6O3Gqo12wCNBneSZXli+kJG5HtcJEsWVteNoxgitb1e19KV95edu7lRn+HAqVny56HJc5OzPBkYFR5dLdarOQ/3o3sdjMQ9NghJHONc6u9DYS69RftHmVxXR/Du/6tpJjlZOmuTjP2YELnB2JrzJvpLbfx6tcXTjOaBWVTaqEPfVSmKi4uJjnnnuOzz77jL1799KrVy9uueUWxo8fH/ZxX331FY8++ihbtmyhZ8+e/OMf/+Doo4+2/2SaaEKgx2RhJC2h8mNC4BK7hqYpLE8b/AUjQOk4kheix+wI3geVn+gVZtFArLKDGHvUfGiOAtAslD+h7olFMP7f9h9Sq1qBUMOXNwp8bdHj12HErw62CcQf+L9Z1jFQClnz40iZj+7aF3ye+3+zdMyCoViextmZ7avVg7n4rdsp87pQaICGoZuYlsGRHTYx/ZqHyUjKt3Wsn7N6Mu6FB/GaTvaXrdv/J/T4GW9wy/Gf89HSUVz57k34TAeWCvTp0E38lsHILmv5ZPKjpMWH3wa30vd7Yzmj7EfM5OzA2LhuBvYB0BRaeRov+U7lyswS3vRmcV35EixUjWqAY402fBA3Ap/XzeBNe9jR4Ydg1T6gYsxdcWbO+fyvn9dWXAcjyyphk1WCC53BRgpxVU4e95ev4lFv6KV7/3EfxRWurvxz5jnc9+XF6JqFqQLXHRy6H7/l4OIhP/DyBS+SXa4xYsfvFLVdsv9npqionunghr3n82SvUn707+G80gUU4A++kgYaJopeegKfxx1LZ33/39avRRZvFZZgKbggKY5jk+o+EfJr304uKvuFsirrLyr7HKgnMyPuGFprbm4vX8ZLvk3B17Bqu9tcPXnEPaBRTqrrzWJOK51HlirFAEz2/xWk4eLTuKMZ4UjjLe8Wri3/rdbfxxON1nwQN7JaRUhRf+olIbj99ttJS0vj5JNPJikpiffff58HHniAOXPmcOyxx9b6mJ9++onjjz+ehx9+mNNPP53XX3+d559/nt9++40+ffrYezJNMCHQ3NtxpvwScuKdUhrK2xqlHBVr/kMfy18wBKu8c/0FWxvnbpyp84BQ8Qf+NUt64Uj4PeRhKndr1ByFaM78WpczVh7Ln38syhudiWN2/ZLVkxOffwjT0lG1jJA5dJNebbaz4NY7iHGGv4ScU5BCzwdfxm8Z1D7TLPBE/zbuQx79/jxQ1NqnoZsMztzInBvvxmGEvzqxvtjBwMIfsGL3gmHWbGAZ4I/hbm0IDzt/DHkcA40xRivWbulPTvsfwy7Lu2LHJF7uHZ0lgHa9493CVeW/Rmx34+9/5bl3Hwt5v65ZXDT0ez4ddgcl6Str/5lVDLndUHAqr6R8iQ+r1j0KHWhkarEsShgbtRPXL/59nFj6Ayaq1hEIA41eegLjjLY859sQdurC3919udvdNypx2ZVreRhSMpPdylPrclIDiMXgEfcR3ORZGvI4BhqjjVZ8FXesXCloAPWSECilarx4nTp1YvLkydx33321Pua0007DNE2++mr/Ll8DBw5kxIgRvPLKK7b6bXoJgcKZ/i0YJXXarKTWIynAisG3dyINWfPfkf4tmlEcNv7AJEUNrY6Xt0MdS/lT8O878ZCPVRen/OfvzFk/IPhJMpTXLn6WSUN/CNvmojdu5+Plowj/Oimchh/TMrAibFv84VWPccaARWHbTFxlMKvDR+HX1ZsOnJYLv7PU5or/MBToJW3Ja3MMMfZX3B2yNoXTKSByLQstrwvq35vDN+o1Ay4+I3wbS8fwJaK5C4OfvmvtD3gy5kiud0Vn2+VTS+Yx29wTsTZD1T0fQnGjszXxlAbd5Ohxz1ru96wOG5sBxOOgKOxPNuCbuOM4vo6bVom6q5fSxQcmA9988w27d+/mhBNOCPmYuXPnMm7cuGq3TZgwgR9/DP1ppqnTnLlojsjJQKQZ+lBR+tcoR3Ptil6AEZVHTAYq2UkG7D5P3ZkfGOZoIFv2tWbm70dGTAZ0zeLlnyZEPN7nq+xsN6vhM50RkwFDM3l1fvihNoA5qXOr7DAZ6mB+fHaSAaUFhhrC0cBK2MU/t9pfy3+oss0SW8kAClRKVuR2Q18CM8KlfN3CdBfYOGXBy97I+x3YsdUq5Xtzd8RkQCNyMgDgxeJ9X3ZUYrPrP95NEWMzgfBpVoADjVe9EZI70aDq/Blg3bp1jBkzhpKSEvx+P1OmTGH06NG1ti0qKqKwsJC2bauvoW/bti05OTkh+/B4PHg8+yc3FRbarxbWEDTD3thvXUr/ao5iVP0N3VbnLLBdX8Au222N4opdF+vfplx7tRsspfP77vYR23lNB9G6imMqg7W7ws+pKPZpWAk7o9IfECjXayd8S2dZeeQZ+NEyx4y89wawP/a4nVCaEbpdq7W1DxUcBAVstEqicqxNNo9j9yqPA431lr33omiouutiNPhRrLWa1nt7S1fnZYfdu3dn6dKlLFq0iLvuuourr76aOXPm1Nq2cjTC4aiedzgcDkwz9B/so48+SnJycvCrY8dI6+obmv0fm/1Kfw24ArQ+KhXaPmDDPU9XuM1tDmzraPjSy25H+JNujK6iXwHSzuupKWIacFw3uS6fSxTgiZBQmtFd0eKK0ursaB2nkgLctS7mrB8GWtTXqTdk/CKyOr++DoeDjIwM+vTpw9///neOP/54nn766VrbJiQkEBMTw9691T8B7NmzhzZtQk8uu+uuuygoKAh+ZWc37GWxSCxvK1snSrsn0wav9OdPDUx6jFKlwsq2kdvoFcsxG8ZRmZtIcEWeHOfQ/YzrvTRiu7aJedg7o0Zu49BNxvUJ36fDgORdQyJX3VN2w7L5YmqKi9MbLnE72Qjzab8qReBnYcaGb7dhQmAFhZ3jReBA44QojXEPMpJJsJH82P3J+1ENOv6uaxrHGa1sbVZlh4HGSY6GnWQswjvkv/qYmBjKy2u/jKTrOkOHDmXevHnVbv/xxx8ZPnx4yGO63W6SkpKqfTUpVhzK0y5s1cD99AiV/jQsTyswG3JdsY7lifwmrGlgmS4b1RENG/MpNKzyTFANNwEqzuXlypHfY2jhLx/7LQfXHvtV2DYAN4+ZQeRr7oo2CfkYeqQ+Da45+puIfU7W+waWzIXtUqdtWYeIb9S6psB0hT8RmgbJO4dyapuGW2XgMgz6azb+xjVI2jYm7OupYRG79KrIPzPTIKWwe8Q3QD+K66I0oTBOC9RdiPQ6WUAqzrCx6UBnLY6TolTu2a7rXd1tTYgcoCVFfJ4KxdWurlGMThyqOiUE119/PRs2bADANE3ee+89vvjiC84///xgmyeeeILevXsHv7/hhhv45JNP+Pbbb1FK8d577zF//nyuv/76KD2FxuEvOhIsd4iqgYF/zaJBmIWDq91WvZ0Gyom/aHB9hlors2AYKGfIZEUpsPxxmPnHgDLCPk9/4TD8RQOq3Va9nQZmLGbREdEK37Z7J/yPXm22hz1B3zH2I4Z2ijxx7Nbjp9M/I9x2uIo4p4fvr7+Xjil7Q/QZ+AE9fOrb9G0bvo4+wMPdiumSPS70p3tLJ3n3YL5NHUhrzR32TfiZmEH8ae8fCFTdq6WdaaB5k3g3rXfN++rZ93GjcUQ4gcRh8G2rfsS5PLUmBRoWmgZvnvIVJ2+reE+q7ffbdGAUt+er5KMYrKeGvWj9R2fXqO2xAHCPuy+99cSwr9NfXL14P25kyEv0BoHhh7dih6E38JK9MxztmeToGDJ6HTjGaMW0uJG0ifD7+HTMkXTU614/RdSfOi07/Oijj/jHP/7B5s2b8Xq9dOnShT//+c9cffXVwTb3338/zzzzDPn5+cHb/vWvf/Hwww/j8XhITEzkscce46qrrrIdZNNbdlhBL8WRuAzNvaPaJ2Tlj8MsHhAsxKO5czASlqM79m9LHKgu2Bp/0VFgJjR05BW8ONLmojkKDihKFBgWMfOPBXQ0oxAjcSm6u/rQj+VLwiweGKwtoMdkYSSsRjP2XzEKXAFpj1l4JKiYhnxyQXml8fz50yt5/7fj8FsOKgsKtU7I5+7xH/KnY762PTRiWXD2lL/x9ZrB7C/HEvi3V+ttfHf9fWQkFbC7KImbP7qGT5ePwKpyymmTkMdDp73D5cNn247fa2qctlbjh9bfQkzh/i59MQzcOY7verpJcVlss0q5sXQ5X5k7UFXqQXRQCTwe148/OAO/j/dtjOcJx0/4Uzft70RppO0YydT0boxtHbg6oBQsyOrN/5Ycy76SRNLii/jDoJ84uuvaaj+vMmXyP18288y9+FD01hO5zNmZDnr1S/tb9rXmzYUnsnFvBm6HjxN6ruCcIxfgrpi/sdMsY0jJTPZSc3ZtZy2OZXHjiDUM1uzM5Ppp/8dPm/pVa9OrzTaePnsKJ/VeDsD/rYvlrYRZWIk79jeyDDrkjGZ6ZlsGJHkpVn7+Wr6ct31b8VSZP5+Gk9vdvbnd1TPq6+TzlZfby5bzvj+72lz81pqbv7n7cK2zG5qmscCfy23ly/jNyq/2+OFGKs/EDGKIsb8q6XIzn3d82eywykjQHJzhaM94R9t6SRhMpXjMu5Z/ezZQwP55MDHoTHZ15WH3AGI1g21WKbeUL+Nz/45qeVlnLY6HYvpzvrOpzQ07fNVLHYJKpaWlOJ1OnM6aJ+fi4mJKS0trzBEwTTN4Ytf1uo1UNNmEoJJeiu7aE6waqHytqFrf1EhYiR63vubjlAN/4VCUJ/IM93qll2LErQfdg7LisIpD7E1gFKE7c0FTKF9yRZnkA99wFJprN5pRCsoIzI2wIoz5NpA9xUl8v+5ISrwxZKbsZWyv5TjrOBs9vyyOS966je/WHVVRM06rSAd0uqXv4KPJj9MvI5v5m3tz4Rt/YVdRKrpW2U5hKYOLBv/Afy54KWIhpAPt8+g8mR3LNp9Ja4fOrZleOsTunwz5/bqBXPr2bexz5qF3nYkyvGj7umNlncA1I7/n6XOmoGuKe76YxFOzT4dO86DVOjTLgdoymqTS9rx60XOcOXAh2/PT+MPrf+XX7B44dD+W0tA1hd9ycFTmRqZd9RiZKfv4zJfD1WWLKcSPAw1VpeDOTRXV9CzLwe2fXMV/F4xHD1b1DBwrLa6INy95hvFV5lOsNQv5a/kK9ioPHfQ4nnYfSQdj/+/Qe78ex/Uf/okSrztQCKuiQ11T3DnuI+6d8EEwYfGaGs9mx7Gy3CRe07k6w89RyTUTjjzl5Tv/LgqVnwwthnGONrijtB1zKHssD9+buyhRJplaLGMdbXBqNd8bl5r5LDHz0YChRioDjP2TKvOVl0tLF/Gtuavi5x/4i/Sj6KbF81HcKPoZ9TPkWq5MvvXvYpcqJ1VzMd7RttYCTlutQEVIDxbd9QRGG60a/MpGS1evCUFDa/IJQRhGwjL0uI1hqwH6849GeW1OrBKNxuN3MPb5B/ltW3fMWib6GbpJkruUKRc/y0Vv/gWfaWDVUgNB1yxO7b+YD698/JALW1X6aVMfxr/4AJbSa62BoGkWk4b8SGpcEc//eFpFCecD2mCBBm9f8jT3fjmJrXmtQz7PzJS9PHLLJC61Zoac06gB1zm7U/Tpf3l70fG1Vm3UNQtdU3x97f0c1311zYMc4KOlo7j4rT8TGGmv/YPFXeM+5P6J70c8VnPnVRYnlvzAb1Z+iKqBGkk4WJBwIl31hqsrIZqeeilMJOrIKMaIrz0ZgP0z+B2Jy7C/+lg0lv8tOZZFW3vVepIEMC2DQk8c13/4J/whkgEI1D2YsXI4czYMiFpsf/7sypDJAARWeExdfDzP/Xh6rckAVJRZVnDjtD+yZV/tyQAEnufWvHRuLFkZdoGDAl7wbeStTZm1JgNARczw50+vCP8EAb+pc+snkyuOHPqt6/HvzyWnoC6bfDVP//Nls6hiE6jamCgK8fOoZ20DRyaaK0kI6pERuzniSgRNI1D10GmzOItoNC/Nm4geoWqgaRnsKEyPWB3Roft5ZX7k6oh2LNvehd+ye0SsjqhpFpFq4Cl08soSIx5LdfqJfbG7IqaxmqWjDf1P2DaWMli6vTtLtoWfcf7VmsHsKqptmKqmN34ZG7FNc/eSd1PEN3ATxXu+bApUwxWaEs2XJAT1SHPUvtnPgQKVChuupK84OCt3dIp4orTLbzn4LbtbVI61PKeLrXZK6dj/k49w0s1YBlbkYyndQrVdZqvHFRGex4qcLjj0yAWkFPZ/Js3ZCqvAdonjDQ1Y0VA0X5IQ1Ku6DBDLJJumTovysI6dZNEOPUrHqROlB0oh22prb3JepKsvuqZCDndUpdFIP5MGptfhPUPe6IUd8ntSj5QvzVbxIk0LtBVN24jO6yMWOQqwU6nQzzHd1hx6UMCwTqG3p67KzpBBsG2kdtuG20oINKWjbRthq89hnWtZiVPF8M6/h5zXUJWqaHu4G2Gk2qoamIBBb70hC5+J5koSgnpklnUh0slBKbCCS/hEU3bdcV9GnBtg6Cbd0nfaqFTo4P9sVCq0o1ebHRzfY0XEZEWpyJ8pdc2kXVJuxAtW2o6htC/tFPENREOhfv2/sG0M3eS4bqvo3Sb0hmcAJ/RcQbf0HRGvJDh1k8uG2a/z0FxdZ6NqoIHG5a4uxGkNuJe1aLYkIahPVhxmcf+QdweWHeqYhUc1WEji4J0+YBGn9l8U8oTk0E06JOfy1qVPk+QuxREyKVD88eivGdZ5Q9Rie+rsKcQ6vWGTgr+c+DEPnTY15P26ZuI0TN6+9GkGZ24MeSxDMxnUYTNvpfTGiR72TeQfMf346/BfQt5vaCYxDh/PnPNqmKMEaBq8dP5/0DUV4jUInBz/ddbrpMUf/mPmpznac6ojI+TP34FGey2Gu1x9GjQu0XxJHYJ6p9BjN2EkrALNT+VHL01TKH98oDBRA274Iw6Nxx8osjNlxZGoftPQkrajypNQa85hTKqXNyb9m/bJeazb3Z7L3r6Vpdu7EbhMH3jdXYaP20/8jL9P+ABdD/zpeZXFDH8OK81CDE1jpJHGiUabOhdvWba9C5dPvZk1uzrh0M1A8R/TINbp4W/jp/HnEz9B0+DFuRO55/OLKfEFiv0EygnpdEndwZuXPsvILr9TUBbHnz64lo+zMtH6T0OL34MqSUet/gNnddrBfy98geTYUn7x7+OK0oVsojR4YrKAeAwejBnAdc5ugMaTs87iwXljKB/9D2i9Fs3vQq28kF7bJzD1kmc5skNW8Hlsym3Lp8tHkF+WQOuEAs4b9BPtkvKD989eP4Br3ruB7PzWOHR/oGij5SAltpjHTn+LK0fOrPPrum53e2asHEZheTwZiXn84aifaJ3Q9Lfm9SiTP5cvZ4ovC4XCqBjsMVGMNlrxZuww2lepGLnEzOMb/y7KlElnPY7znJm1FhOKFqUUC808Zpm7KVcm3fUEznV2IF6uWDQou3UI5FWpdxpWWXesss7oMdvRHEWgdCxfK5S3NTKZsHnRDC/GadehT9iMqdg/ue6kv+EwWqPHDgNi2LKvNb/vqaxAuf819ppO5m3si2Vp6LpiqncLd3hWkKu8OCumLfpRdNHi+G/sEMbUYTe7IztkseSOW5m/uQ+zfh+I13TQLX0X5w36icSY/eWk52/uXZEMBGosVk7U217YijW7MhnZ5Xf0mAKM8y9A820LtFM6aBba+L/gcHZAixkMONE1cGiB+gWVVfIgcKnaADRNw7Is5o28g/JhO4MjaAqg22y2oLMxdihHksm+kgT++MH1fL5yGJqmMHQL09L562eXc/HQH3j23FeIc3k5oedKfr/nWr5bdyQ/Z/XBVDr9M7Zy1sCfg2WQ7dpZmMLk927g+3VHYWgmuq4wLZ2/fHYFk0d+xxNnvdEoW2Pb5dYMnos9invcffnQt40dqpwkzcHpjvbVKhSuN4u5omwRi6284B4JfhS3li/jdlcv7nH3jXr1wJVmAVeULWKFVRjs04filvKl/M3dt17KQotDI1cIhLDJUorzy37mC/+OWqfcGWh01GJ5cs//cd7zT1YW6a2lpeKIdllcd/O5XFu+pNa+AgsENb6MO7ZOSUEkZ796J1+uHhbi3kDEL130FK/1fThsBbxBegpPxBzBxNJ5eLFCTkF8xD2AL307mGflho3rLeM4Hn/hbdbuzqx14qCuWRzXfRVf/N+DdS43HUpuSQLHPPN4yIqMumZxSr/F/O/Kf2Ho9iZjNkWbrRKOKZlNgfJV2zuhqmud3XgmdlDU+lxjFnJcyRxKMUPOc7jT1ZsHYkIPqYrokUqFQkTZDH8OM0IkAxC4TJutyrhsS1mYZCBw+4q8VG4sXRGyr8B6AMWfyn4jWjn7km1d+HL10DAtAvHetAUWR6iA95uVxyVlC/GFSQYA7vasjJgMAFzj+ZU1uzqGXEVgKZ0fNgzg3V9HRzyWXf+ceU7IZKCyz89XDWfGylAJVPPwt/IV5IdJBgBe8m1isbkvan3eVr4sbDIA8Jh3HWvNoqj1KQ6dJARC2PSid2PEZV4mipIB74CzLPzBjnwDf4RVARawSZUw29xTx0hr99fPrrDVzjf0pZDbYldSwHZVTqTP6nZTGY+jFKvbd2Hb6JrFC3NPsXnE8Mp9TqYsGBdxGaOhmbwYpT4bww6rjM/8OyKuRnCg8bJnU9g2dm2wipll7rG1AuIVX3T6FNEhCYEQNv1ihv7UXI27CNIjrIPv+DPYqFHhQOOXKH1yW7mzU+RGMfmQtrFxprb0/Sjs3ZYyWLa9Gz7z0Hch/H13e4o8cRHbmcrg5y29Drm/xvKbWfuwz4H8KOaZka/k2LHI5u+rieInf3T6FNEhCYEQNll1qVQYqYBRhLX0B91vuOMoncgFBhpxrNzmOL1lI5GKfAz7b312ios1VbYS2INoG/Y4dRjiilafIjokIRDCpv56kr0/GL8L9vUI32bXEbb69KMYoEdnP/tu6TuJeBG/PBWK20alvzrbfELYuzUsuqbtrPNKgtp0a7UTtyPyhj+6ZtIvI/uQ+2ssA4xkW+0caAwyUqLS5xF16VO311Y0DEkIhLDpWlf3iIV/HWg4V58Pnggn8SWTbe1l0Fpzc6qjnf0gw/jHKe8S8QqB0tAX/8lGBUJIxRm1kQXDdGGsujBip9cd92VU+kuKKeOiwT+EKR4VYCk9an02hm56PCcarSPOffGj+D9XdDbbOtJIYbCeEvF3yI/i/9zR6VNEhyQEQth0gTOTIXpKyDdXA40EHDyc0KXillAnfEUbFctfXZHHpp+KGRhY5x8FJ/VezhHtNoeNC+CWuI501OJCPk8HGh21OJ6NGQSEW0sBf3J2o4sWeaz+HmMQreILQ56gDd2kV+scrhxR96JDodw1fhqJ7tKQZaYN3eSozE1ccNS8qPXZGB6JGYCjog5AbXTgFEcGJxjRW976r5iB6BH6vMjRkaGG7OHSlEhCIJq0Nbs6MHXRGN5aeAIrcjo3aixuzeCL+GMZY7QCwFA6mtIwKsajM7VYZsWP5uZBq3n6nFerXAFQVb6gY+oelv31Zu6P6cffXH0Cf4Sq+lcsBq/GDOF8Z8c6x7k9P433fj2ON345kbkb+1VbMTD/1js5KnNTzQ4rk4Ex03n0pC+ZGT+aIyqGKipPJo6KU38/PYlZ8aM539WR92NHkFBR36xyhkLlvzc4u/NUzJEsiT+JPlpCyHj/7urL35IymX3j3fRoHdjPwKH70TUruN3x0I4b+O76v1crsHSouqTtYdaN99IxZW+tfR7XbRVf/t8/iHFGHlpoyo4yUvkq7ljSNRdQ8/U8z5HJu7EjolqY6FhHKz6NO5okAnVjKgsTGWhowOXOzvw3dkjU+hPRIYWJRJO0bHsXbv14Mj9t7lft9iEd1/PU2a8xskvj7GanFPz7h9N5dEVX8nt/Aok54EnCse50rkh38M/T3yHe7QGguNzNfV9dzJerh+A1nbRP2sfdEz7g5L5Lg8c7d5WTzzM+Baenekdlyfyt+HTu615qO7acglRu+fhqZqwcXm3SXLf0HTx82lTOOfLn4G2/ZPXgni8uYXNuBoZucUy31Tx2+lu0SdxfrlepwMzz//myyVVe0jQXFzg7cqyRHqwwt9kq4YbSJXxv7a4WSzctjidjjuQUZ2C44xPfdm4tW8oOqj/Pk/W2vBg3mA4V5XUtS2P2hiP4aOmoYOnii4f8wPDO66mvonampfPt2kF8tmIEheVxtEvax6ShPzC44+G1JM6rLKb7c/jav7OidHE8lzs709uov50Qy5XJR77tzDJ341EW3fV4Lnd1oZseX299iprsFiaShEA0OYu3duekFx7E63fU2F1Q10wMXfH5Hx/k+J4rGzQupeD2T6/ihbmn1nq/oZkM7riR7667j1iXN+Lxxq7SmJdZsdTuwJNdxV/l7bsn8UjPCDUNCFwVOPbfj7G7KAX/AWvrNSwUOi/84T9cPSr8Wv+62GSVcFzJbPKUr8Zs8cqn82bsMIqVn+vKl1QUSq7OQKON5uan+BOCSYEQIrqkUqFolixL49K3b601GYDAWnTT0rhs6i1RWY9eF3M2DAiZDEBgzfqv2T14cvaZEY/1e6EjdDJQ5bYnUz+2Fdvtn17FrlqSAQCFDihumnYN2/OjN2Z7Xdlv5NeSDAT6DHxdXfYrN1aUZ67tk4eJYrfycEv50qjFJYQ4OJIQiCZl9oYj2JTbrtZkoJKlDHYVpTZ4SdkX555ia1b6f36aGDFZOSu7IPCfcJfBNcBVxh/XxIQ91vb8ND5bMSJC1b3AxklTfh4X9lh2/W4WMdvcE7YcLhB2n4NKJorP/TvYZtkfHhFCRJ8kBKJJmf37EcFJXeE4dD+z1g9sgIj2m/n7kbV+Aj/QnuJk1u7KDNsmK2m1vU4VzNDCj2XP3djPVqEdSxl8u3aQvX4jmG3usb3k0M6YpAXMNfceQkRCiEMlCYFoUjym0/bkMZ+/YXfvrssQhdcMH5uykfRU8kdo6zXtz6vx+KMzB8errKhXN/ao5rujoBCHA0kIRJPSvdUO/KadT7s63VvtaICI9uuavgst4gXwwCY8nVLDb0gUW9bGXqcadPCGrxxo9+fg0P30brPdXr8RdNfjbfwkAqMedhOHHnropYlCiPonCYFoUi4cPBeXI/J+9xqKS4bNqf+Aqvjj0d9EbGPoJmce8QutEwrDtrvTGGjvTKngo87hC/sc3XUt3VvtiJis+C0Hk6O0ymC8oy1tNXfEdvsrHISmAd20eI4x0qMRmhDiIElCIJqUlNhS7hgbftc7DcV1x31J++S8Booq4LLhs+mUtifkxMJAURuLu8ZNi3isO7qW4MjrGvFs2TbnOLonhk+QNA0eOe3t4GqC2hiayfE9VnB8j+gs1XRoOg+5B4RtowNnGO04IULpXAU8HDMgWNtACNE4JCEQTc7d4z/kluM/A6hWVrZysuFVI7/j8TPeqrf+9xYnMndjP+Zt6kte6f4CKkkxZXx73X10SdsViK1iR0MNCw1FnMvDp1c/zJEdsoKP8fgdLNzSkx829GdzbvVhgo2tB2MUVlQirHoer/h/0s6hbOpp71PzWQN/4aXzX8ShW+hazZ/Zcd1X8+FVj1ebn5FjlfGjfw/z/bkUq7pvGHSZqzP/dB+BBtVO+JUV8E52ZPBm3DD+FzcyWN3RUaVdZeW6F2KO4hxnhzr3L5qHMmXysz+XH/x72CorSZo0KUwkmqw1uzrwyvwJ/JzVG0tpDO20gT+O+oaBHbbUS3+bctvywFcXMm3p0fitwKRAl+HjwsE/8veTP6BjamDvdp9p8PnKYby16Hi25bciOaaUc45cwKShP5AcG3jDK/O6eHzmObz808nsK91fCW5095XcM+F/jOmxKvgcz1yYyZZ+UyA5G9BhTx+G/X4VH524mLaJBXV6DjkFqbz280l8u/Yoyv1OerfJYfLI7xjTY2UwGVhm5nO/ZzVf+XcG85B4DC53deFed1/SKkrc2rXFKmWKdzOzzd14lUV/PYlrXN0YaaQFP/UrpfjR3MsU72bWWkXEaAbjjDZMdnWlvRQkOiwVKz8Pe9bwqnczhexPOMcabfi7uy8jHTJE1FCkUqEQdbBqR0dOeO4hir2xNdbzG7pJWlwxP9x0F91b7Yp4rFKvi4n/uY+FW3rVWA4Y+PSu8eYlz9AtfSfjX/wH5X5njT4duknbxDx+vPkuMlP2HfLzq/Sjfw+nlf6EH1WjoJCBRhctjh/ij6e1Hnl+gBChFCofY0t+ZJVVWOvvGcD/YkdymjM6O3mK8KRSoRA2WZbG+a/fUWsyAGBaBnmlCUx663bspM8PfH0hC7f0rLU2gKUMLAVXTL2Js1/9G+W+mskAgN8y2FmUyuR3bzyo51SbUuXnD6U/48OqtbqgiSJLlXJDRWVBIQ7WX8tX1JoMQOD3zEIxqewXci1PLY8WjUUSAtHizVp/BBv2tg9b6c9vGSzZ1p3FW3uEPVaJx82r88djham0CDpKaewuTglbkdG0DOZsGMiaXdEZX/+fbxv5+MKuRTBRfObPkaqB4qDlKS9TfVtrTQYqKQJVLN/01c/wnzg4khCIFu+LVUNtV0f8fFX4csnzs/pQ7I08Jm5hYKeGn66ZfLlqaMR2dnzu32HrD14BX/sjD40IUZvZ/j14bVSpsIDP/Dn1H5CwTRIC0eKVeMPvFVBJ0xTFnvBti8ujO0HO0JTt+CIpVOGvDgT7RDuoVQdCABQpn+228nvWtEhCIFq8Dsn7UDaqBJmWQYeU3LBtMlPs1uO3N5fXbxl0SA7fp12d9bhqy/5CMVFkysx/cZAy9fCFtCoZaHSy2VY0DEkIRIs3aeicCDsFBmgoLhryY9g2QzttoEerHBslju0V9XU5fJw7aH7EdnZc4uwccXdCgCQcnOqQ2d/i4BxvtKadFvmqloniCmfnBohI2CUJgWjxerTeyR8GzatW0OdAumZx5ciZtEvKD3ssTYN7J3xQUTWwdg7dpHPaLk7qtTRY3KjWY6G4cfQXpMRGZ4LfaKMVI4y0sFUDAf7i7k2sZn8jJyGqMjSNv7n7hG3jQKOvniiJZxMjCYGwzVKKHKuMbKsUXxR2pttXkkDWvtYRx+Ubwn8vfIETe64AqHaSrqyUeFr/RTx99pRqjyn2xJC1rzX7SqpvynPhkHk8fOrbFY/3QfxuSN4CjhI0FO2Tc/n62gd49/InGdHl9xp9VpZGvnjID/zjlHej9hw1TePj2FEM0APrkKv+8VcOJfzJ2Y2/uHrV+diWpVhW6OLnvBiKfU2rBHGZMtlilbLbKqcZlF05LFzj7Mpdrt5AzeqUAF31eD6POwaHJqegpqTOhYlM02T9+vX4fD569OhBbGz4scYtW7awefPmarc5HA6OPfZY231KYaLGVar8vOjdxEvejWxTZQAk4+RqV1dudvWgrW7/hK4UfLZiBM/MOZ0FWX2BwMnw7CN/5rYTPmNIx4318hzs2FOUyC0fX8NnK4bjswK/Zy7Dy3mD5vP02VNIiQt8Uv81uztPzT6TT5aNDC4bHNVlDTeP+ZyzBv6MpgWSp0d2l/C8bz15SYHff810MaJgGE+3TWFwbKDwj880mL5iOC/NO5nlO7pgaIpjuq3m2mO/5sSey21vBV0XHmXykW87//FtYq1ZhEPTOMFozbWu7hxjpNdpT4FCn8bV6518kbgAf3LFEjJvPIN2juX5zHiGpTTeOvN1ZhFPe3/nXV82noohnAF6Eje6enCZszO67J1Q7xaZ+3jJs5FvzV14lUV3PYE/urpxgTOTOK1hty9vyeqlUuHzzz/P448/Tnx8PIZhkJOTwxNPPMHkyZNDPuahhx7in//8J4MHDw7elpCQwOeff263W0kIGlGB8jGhZC7LrPwao+IGGq01N7PiR9Pdxta1SsGd0y/jmR/OxNDMamvwHbofpTTeuvQZzovSmHldbM9P48TnHyI7r9UBtQEUuqbo2TqHmTfcy48b+nPp27eiaSpY3hgCywMtZXDzmOk8cvobXF6+kGn+7ehQ7efmQMOJzmdxRzPG0bqhnl692OvR6btlM4VtfwvcoFV5KzENNG8SH6hTODOjrMFjm+vfy+mlP+HDqjZvovL1OMfRgamxwzEkKRAtgN2EoE4pWmFhIYsWLSIjIwOA119/nauvvpqhQ4dy5JFHhnxcv379mDNnTl26Ek3EdWW/sdwqqHWKnIlir/Jwdul8lsaPi/iJ6/3fjuOZH84MPPaAgjyBk6vF5VNv4Yj2WfRu03Drk5WCC974C9n5ByYDABqW0tiwtx1/eO0OFm3tiaU01AHtKgsR/fuHM9g24L983Hp74PYDjuZHYWFyTukCfk+YQHozLhE8dn0phZlLqicClQwT5SrkwtLZ7PGNIsHZcJfq9ykvZ5fOx4NZ4+df+f0n/u38y7uOOyOMdQvRktRpAOdvf/tbMBkAuOKKK3A4HPzyyy9hH+fz+fj1119ZtWoVXq/34CIVDS7bKuUj//awFcf8KNZZxcw0d4c9llLwxKyz0LVwcw90FPDyTycfXMAHadHWniza2ivsSgPTMliQ1TeQDIT5s9EMD58mLAg7l98CSvHzlm/rwQfdyNYXO1jb/nvQw7yehomVmMP9WQ27hPEt7xaK8Ydd56GA57wb8EZhLowQh4tDmtGxdOlSvF4vPXv2DNtu2bJlXHXVVZxyyilkZGTwxhtvhG3v8XgoLCys9iUa3qe+HBsL4wKXwaf5toVts3FvBit3dKm1vn9VpmXw3q/H1SHKQzdt6dG2KhWCilCSGFTH+ZixkTcjsoD3m3FC8OR2JzhsJPeWzjR/+N+NaPvAl22rysNe5WWeabduhBCHv4NOCEpKSrjyyisZPXo0xx9/fMh2I0aMICsri2XLlrFlyxb+8Y9/MHnyZObPDz1O/Oijj5KcnBz86tix48GGKQ5BnvJGXKIGgaGDvAjVyfLL4m33W1huv2001CW2iGwkA5VyVfO9WrbHNMGy8fahW5QYRfUfUBV1+bnmNePXQIhoO6iEoLy8nLPOOguv18uHH34YdlbyuHHjyMzMDH5/ww030Lt3b6ZNmxbyMXfddRcFBQXBr+zs7IMJUxyiVro77HBBJQONVpor/LES7F/lSYtr2BNIenwU+yu1N1FQA9raKN7SVLUzHOGHCypZBkn+5PoPqIo2mtvWlS2AVlrzncMhRLTVOSHweDycddZZZGdnM2vWLNq0aVPnTlu3bk1OTuhJY263m6SkpGpfouGd4+iAZuOt1Y/iQmf4qzhd0vYwtNP6sMV/ILDu/5Jhc+oS5iG7cPDcaisGQtMixq9lj8RZYu9vYpKrk612TdFfO3rBZyOh0U0udkdnt0a77P5cM7QYjjHS6zkaIZqPOiUElclAVlYWs2fPrjbBsFJWVhbz5s0Lfl9UVP3T1+7du1myZAlHHHHEQYYsGkqGHsMkZ6ewvyQONAbpyRxntIp4vL+c+EnYMXgNC4du8sejvzmIaA/ekR2yGNNjRbAIUW0MzeSkXktxGWbYssTKcnFx+Yiw/RlAKi4mOZtvQtAxzs9ROyaEHzYwDRz5Xbi7c0nDBQZMcnYiTXNFHO66zdVTCuMIUUWd/hrOP/985s2bx/3338+6deuYM2cOc+bMISsrK9jmjTfe4LTTTgt+P3bsWP7xj38wY8YMXn/9dU444QTatWvHddddF7UnIerPv2OO5NiKk/2Bvyw60EmL46O4UbaK2Zw18BcemBiovHfgydehm7gcJv+78p90TQ+/YqE+vHPZU/Rusx1Ns6qd8DUsNBSDMjfx7uVP8sGV/8TlMIPVBCtVPp/7J77Ly10cXOPsGrj9gJOSgUY8DmbEH02y1rxranzf20HrnUcHvjkwMbB09NI2TI89hpgGrj+TpDmZEXcMCThq/fkDTHZ24SZXj4YNTIgmrk6FicaPH1/rssErrriCK664AggkBNOmTQsWHiooKODFF1/kl19+IS4ujuHDh/OnP/2JmBj746dSmKhxlZnw5y0a7xrLKU1dD4CjOIOJxSN5rrNOuzoOw85eP4DnfjyNr1YPwVI6MU4Plw6bww3HfUGfttvr4RnYk1OQzB9ev5Nft/YILi3UsBjVdQ3Trnqc9PjAJ921uzrw/NxTmbroeMp8bnTNYmK/X7lx9Oec0HMlAEoppvtzeMG7kR8qZrIn4WCyqyvXu7rT8TDZ5c1ratyyIYZ3HUspa70KAK2kNaP3jeH5Tga9Eu1vhRtt2VYpL3o3MsWbRQGBOEYbrbje1Z0zHe3rVJFRiOasXioVNhZJCBqP1+/gojdv5/NVwwPVBQ0v6CZ4Y9HQ6d9uC19f+wCt6zBpsJLPNCj1uklwl2PYmaBWj7Lz0jny8X9T4q1MVCtPFgrQSIktZtVd19MqoTj4GNPSKfbEEOfy4DRCDzd4lIkHiwQch3W53HyvTqmpkeH2o+tN53laSlGMHzc6btm0SbRAdhMCGUATYd3x2eV8uXooUFFd0B8L3gTAQKGxZldHzn/9Dg4mrXQaJsmxpY2eDAAc/fTjFcnAgdsSB/6fXxbP0U//s9pjDN0iObY0bDIA4NYMkjTnYZ0MAKS4LNrHmk0qGQDQNY0kzSnJgBARSEIgQtpbnMirP48PW0zItAzmb+7Lwi3hi1M1ZZ+vHMLu4lQIOwlNY0teG37Oar7PUwghwpGEQIT08fJR+M3IvyIO3c/UxcfXf0D15F8zzwFbte3goW8uqN9ghBCikUhCIELaWZiKw8blfNPS2VWUUv8B1ZO9JfbrXOwuatgiO0II0VAkIRAhJcWUYkbYewACY+lJMQ2/xW20xLvKbbdNcNtvK4QQzYkkBCKk0wcsRCkblQotB2cN/LkBIqofl4+YRfj5A5U0rj32q/oORwghGoUkBCKk7q12MbHfr+Er+OkmndN2MbHvbw0YWXRde8xXuB1ews8jUCS6S/nDUaE35RJCiOZMEgIR1isXPk/3Vjswaqnh79BNktylfDL50SaxdPBg6Tp8ds1D6Jqi9qRAYegW31x7X0OHJoQQDaaBi4qKsDQveuwW9JhsNN2DstxY5R2xyjqDCr+bYH1plVDE3Jvv4slZZ/HK/PHklSUC4HZ4uWToHO446WO6pO0BAkWMPl0xglcXjGNTbltiHT5O7b+YPx7zDd3SdzVK/Had0HMVP93yFya99Wc25WZQtTBRr9bb+d+V/6RvRuNVUWzKVuZ04uX5E5j1+0B8poN+GVu55uhvObnvkmadKArR0kilwiZCc+biSPkJNH/ge439xX6UA3/+MShf4+7M5vE72Li3Haal0yVtF4kx+yfY5RSkcsp//s6aXZ3QNTO4iZGhmyil8e9zX+GPR3/bWKFH5PU7uPKdm5i27Bh0TCwC8ev4sXBw+fCZvHT+f+QEV4VS8OA3F/Dwt+dj6Camtf81Ny2DY7ut5uPJj5IcW9rIkQrRskmlwubEKMaRMg80P5oWSAaA/f/X/IH7jeKwh6lvboeffhnZHNF+S7VkwOt3cMp//s76PYFtbqvuaGhaBpbSuXHa//HZiuENHrNdN310DR8vHwUQTAYC/w9cRHtr4Yn8bcYljRJbU/XSvIk8/O35AMFkoOr/F2zuzYVv/PmgqlgKIRqeJARNgBG3ATSLUJVtA0mBFWjXBH22YjhrdnXCb4XZ2lizeOCrC5vkyWHLvta8sfDEsBUZFRrPzz2VvcWJDRhZ0+X1O3jom/PDtjGVwaz1R/JzVu8GikoIcSgkIWh0FnrsFjQt/JlS0xR67Bag6V2ynvLzOPRaJh1WpZTOqp2dWbq9awNFZd87i8eg26hUaCmd934b3QARNX1frRlMbmnkgk4O3c8bv4xtgIiEEIdKEoLGpnnRIpxMg001E/Sa2083tk17M6oNE4STldu2nqOpuy372kRMyCAwNp6V26YBImr6tuxrja5FTk79loNNTfA1F0LUJAlBo6vjDmw2T7wNKdblsd02xtn0Ehq7MSmlEVeH53o4i3V6sWwUrdKw5GcmRDMhCUFjU04sb2rEsXWlwPKmgmp6qyxO67+41joFB4pxeDim25oGiKhuxvdZgt+KvALXbzmY0HdJA0TU9J3Ue5mt2o6gcXIzLlolREsiCUETYJX1CDmhsJKmBdo1RVeP+haFRrhKf4Zuctnw2U1yz4OT+y4hM2VP2KTG0E36ts3mmK5NL6FpDF3Td3Ny3/BVLDUsYl0eJg39oQEjE0IcLEkImgCrPBOzrFOtVwmUCnyZZZ2wyjMbPjgbuqbv5vnzXgY0tFrGlStPpg+fNrXhg7PB0C0+uOJfuB2+Wk9whm4S7yrnncuejJi4tSQv/OFlMhLzav2Z6ZqJrivevvTpJpkECiFqkoSgSdAwC4dgFg9Ame7qd1luzOIBmIVDsLcBT+OYPOp7pl31KP0ztla7Pdbp4ZpR3zL7xnua9IlhaKeNzL35Lk7qtQytypUOTbOY2PdX5t1yJ/3bZTdihPZsKXVwwWoXHdfsJmPddo5a5eHDHXEHdSy/qTN95TAufftWJrx4H5e8dSufrRiO3wy8bXRI2cdPt/6VC4+ai9PwV3vsiM6/882193Na/8WH/JyEEA1DKhU2ORaaMzewmsByVVQnbD55m1KwbHtXsva1Icbp5eiua5t0IlCbrH2tWZ7TBQ3FUZmbyEzZ19gh2fKX9XE8mzYNHBWT+DQFpgMMP+22Hc/i7q1o5ba3bPX33e0485W72ZTbDkMzMZUR/LdL2i6m//EherfJCbbfW5zIwq098ZkOerXZTt+2UuZZiKbCbqVCSQiEOAw8simeB9IrhmRqW0Jp6bTdcQxZvVuh6+GvNO0qSmbYE0+ytySpWgXCSoZukh5fyKLb/0xGUn4UohdC1CcpXSxEC2FZikf1nwNzOkPVU9AtdnWYyyvbEyIe74W5p7K3uPZkAAKliXOLk3hh7imHELUQoqmRhECIZu7NnAS8aetBj3Cxz3TwdOHO8E0snVfmj8eMUO/CVEagnSVvIUIcLuSvWYhm7ucSm+WsDT87YreFbZJXGs++Unv7NeSVJZJbEvmKgxCieZCEQIhmzlWHtZB6hAJMDsNeGe1ge9kOWojDhiQEQjRzF7SywEYZYSyDI8rDF7dKjimlT9tstAibaGlY9G6zjdS4xt2SWwgRPZIQCNHMHZtWTusdR4MZaZ8Li4fbxYZtoWlww3FfELnmhcb1x30phZqEOIxIQiDEYeCd1l3QPMlhk4KTt5/PcenlEY91xYhZnNBzecjdDHXNYkyPlVw5YuZBxyuEaHokIRDiMDAmvYyvHCeTvOeowA1Kg4plg1pJayblXMxn/X22juU0TD65+lGuGfUNLsMHqIp9HhQuw8fVo77ls2sexuXwRzqUEKIZkcJEQhxmvtgdy9S9Fh4U/d1O7upcSpzj4P7M95UkMGPVMHJLEkmPL+K0/otIj5d5A0I0J3YLE0Xe81UI0ayc2qaMU9tUfuc9pGOlxRdz+fDZhxyTEKLpkyEDIYQQQkhCIIQQQghJCIQQQgiBJARCCCGEQBICIYQQQiAJgRBCCCGQhEAIIYQQSB0CEWXlPiefrxpG1r7WxDh8jOuzlN5tcho7LCGEEBHUOSGYPXs2P/zwAz6fj2HDhnHmmWeiRdjhJDc3lzfffJMtW7bQs2dPrrjiChISZB/1w4lS8OyPp/HwN+dTUB6PQzexlIb1qc6JPZfx8oUv0il1b2OHKYQQIoQ6DRmcdNJJPPTQQwDExMRwww03cMopp2CaofdQ37lzJ0cddRTTp08nIyODN954g5EjR1JUVHRokYsm5b6vLuaOz66koDweAL9lYKnAr9cPGwdw3DOPsS0/rTFDFEIIEUad9jJYtWoV/fv3D36/bt06+vTpw+eff86pp55a62Ouv/56Zs+ezdKlS3G5XBQWFtKjRw9uuukm7rnnHlv9yl4GTdvKnE4MeeLpsG0M3eTcIxfw9qXh2wkhhIguu3sZ1OkKQdVkAKB79+64XC527twZ8jHTp0/nvPPOw+VyAZCUlMQZZ5zB9OnT69K1aML+M/9kHHroq0QApmXw0bJR7C4K/csohBCi8RzSKoO33noLv9/PcccdV+v95eXlbNu2ja5du1a7vWvXrmzYsCHkcT0eD4WFhdW+RNM1Z/0A/BVb7YZjWgYLt/ZqgIiEEELU1UEnBL/99lvwsn+vXrW/yZeVlQGQmJhY7fakpCRKS0tDHvvRRx8lOTk5+NWxY8eDDVM0AJ9pf26q34ycOAghhGh4B5UQrFixggkTJnDZZZfxwAMPhGyXkJCAruvk5+dXuz0vLy/sOMZdd91FQUFB8Cs7O/tgwhQNZEC7LRGHDCr1abutnqMRQghxMOqcEKxcuZKxY8dy7rnn8sILL4Rt63Q66dmzJ6tXr652++rVq2vMR6jK7XaTlJRU7Us0XX88+puIQwa6ZjKqyxr6tN3eQFEJIYSoizolBKtWreLEE0/k3HPP5aWXXqq1/sDnn3/ObbfdFvz+wgsv5IMPPmDv3sAa9M2bN/PFF19w4YUXHmLooqkY13sZJ/RcjqHVfpVA1yx0TfHI6W83cGRCCCHsqlNCcPLJJ1NWVoZlWVx77bX86U9/4k9/+hOff/55sM3ixYt57bXXgt/fcccddO/enSFDhnDBBRcwatQoTjzxRCZPnhy9ZyEala4rpl31OBP6LgHAofsB0LAARbyrnI8mP8bRXdc1YpRCCCHCqVOlwvvuuw+/31/j9oyMjOD/TzvtNDp37hz8Pi4ujtmzZzNnzhy2bt3KjTfeyLHHHnsIIYumKMFdzidXP8pv2d14/ZexbM5tS5zLw4Q+S7hw8Fzi3Z7GDlEIIUQYdSpM1FikMJEQQghxcOqlMJEQQgghDk+SEAghhBBCEgIhhBBCSEIghBBCCCQhEEIIIQSSEAghhBACSQiEEEIIgSQEQgghhEASAiGEEEIgCYEQQgghkIRACCGEEEhCIIQQQgjquNthY6ncf6mo3NfIkQghhBDNS+W5M9Jehs1it8Nt27bRsWPHxg5DCCGEaLays7PJzMwMeX+zSAgsyyInJ4fExEQ0TYvYvrCwkI4dO5KdnR12q0dRf+Q1aFzy82988ho0Lvn576eUoqioiPbt26ProWcKNIshA13Xw2Y1oSQlJbX4X4TGJq9B45Kff+OT16Bxyc8/IDk5OWIbmVQohBBCCEkIhBBCCHGYJgRut5v77rsPt9vd2KG0WPIaNC75+Tc+eQ0al/z8665ZTCoUQgghRP06LK8QCCGEEKJuJCEQQgghhCQEQgghhGgmdQgOxvr16/n1118ZPHgwvXr1auxwWoTdu3cza9asGrdPnDjR1hpYET3bt2/nt99+o3379gwZMqSxw2kxFixYwJYtW2rcHhsby5lnntkIEbVMe/bsYenSpXi9Xvr27Uu3bt0aO6Rm4bBMCIqKijjttNPYuHEjTzzxhCQEDWT16tVcdNFFnH/++dUqSh577LGSEDQQy7K49dZbefXVVxk9ejQlJSUkJCTw2Wef4XQ6Gzu8w96iRYuYP39+tdu++uorevfuLQlBA3n22We58847GT58OPHx8cyZM4cLL7yQV1991Val2xZNHYYuuugidffdd6vk5GT19NNPN3Y4Lcbs2bMVoHw+X2OH0mI98MADKjU1Va1ZsyZ423fffadKSkoaMaqWa9u2bcowDPWf//ynsUNpEQoLC5VhGOrZZ58N3rZgwQIFqFmzZjViZM3DYTeH4LXXXmP9+vXcd999jR1KizVr1iy+/PJLNm/e3NihtCgej4ennnqKW2+9lT59+gRvP+mkk4iLi2vEyFquN954g5iYGC666KLGDqVF8Hq9KKXo0qVL8LbK4QKv19tIUTUfh9WQwdq1a7nrrruYN2+eXB5tJE6nkwcffBCn08mCBQs499xzee2113C5XI0d2mFv2bJlFBQUMH78eJYvX05WVhbdunVjwIABjR1ai6SU4vXXX+eCCy6QWvoNJD09nccff5w77riDzZs3ExsbyxtvvMHll1/O+PHjGzu8Ju+wSQg8Hg8XXHABDz30ED179mzscFqkjh07snLlyuCcjbVr1zJy5EgefvhhHnjggUaO7vC3e/duAJ5++mmWL19O9+7d+emnnxg+fDiffvopMTExjRxhyzJnzhw2btzI1KlTGzuUFuWII45A13WmTZtGfHw827dvZ9KkSTJ/wIbDJiF4+umnKSwsJDExkffffx8An8/HkiVLmD59OmeccUYjR3j46969e7Xv+/Tpw6RJk5gxY4YkBA2g8oTv9/tZuXIluq6zY8cOBgwYwJNPPsndd9/dyBG2LFOmTGHAgAGMHDmysUNpMbKysjjjjDP4z3/+w5VXXgnA8uXLGTp0KB06dJCJnREcNglBx44dGTFiBJ9++mnwNp/Px4oVK0hISJCEoJEkJSWxZ8+exg6jRahMyM4+++zgnuft2rXj6KOP5tdff23M0Fqc/Px8Pv74Yx577LHGDqVFWbBgAV6vl/PPPz9428CBA+nVqxezZ8+WhCCCwyYhmDRpEpMmTap2W0pKCpdddhm33HJL4wTVwuzYsYN27doFv/f5fMyYMYNhw4Y1YlQtR9euXRkwYABr164N3maaJuvXr2fChAmNGFnL8+6776KU4pJLLmnsUFqUjh07ArBmzRqGDh0KBJahb9u2jczMzMYMrVk4bBIC0fgeeeQRduzYwZgxYwB4++232bdvH4888kgjR9Zy/Pvf/+ass87C5/PRs2dPPvnkE3Jzc7n99tsbO7QWZcqUKZx77rmkpaU1digtytFHH83YsWM599xzufnmm4mPj+f1118nKSkpOIQgQjusdzucPHky5513HhMnTmzsUFqMr776im+++Qav10u/fv244oorSEhIaOywWpSVK1fyxhtvsG/fPnr16sU111xDenp6Y4fVYuzdu5cbb7yR2267Ta6ONQK/38+7777LwoULg5UKJ0+eLCs9bDisEwIhhBBC2HPYFSYSQgghRN1JQiCEEEIISQiEEEIIIQmBEEIIIZCEQAghhBBIQiCEEEIIJCEQQgghBJIQCCGEEAJJCIQQQgiBJARCCCGEQBICIYQQQiAJgRBCCCGA/wckNFWG/fanwAAAAABJRU5ErkJggg==",
|
|
"text/plain": [
|
|
"<Figure size 600x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# 3 a-c) \n",
|
|
"from SLN_Vorlage import SLN\n",
|
|
"\n",
|
|
"\n",
|
|
"sln = SLN(2, 1)\n",
|
|
"sln._W = np.array([[-0.3,1]])\n",
|
|
"sln._b = 2\n",
|
|
"sln.neuron(X)\n",
|
|
"\n",
|
|
"plt.figure(figsize=(6, 4), dpi=100)\n",
|
|
"plt.title(\"Aktivierungsschwelle = 2\")\n",
|
|
"plotTwoFeatures(X,T,lambda X: sln.neuron(X))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"id": "54363e85",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"# 3e)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"id": "53351dac",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"#0 err:0.25\n",
|
|
"[[ 0.28677805 -0.07982693]]\n",
|
|
"[[0.]]\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"#6 err:0.0\n",
|
|
"[[0.16177805 0.17017307]]\n",
|
|
"[[0.25]]\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# 3f)\n",
|
|
"X_AND = np.array([[0,0], [1,0], [0,1], [1,1]]).T\n",
|
|
"T_AND = np.array([[0],[0],[0],[1]]).T\n",
|
|
"\n",
|
|
"sln = SLN(2, 1)\n",
|
|
"sln.DeltaTrain(X_AND, T_AND,0.5,10,0)"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "nnw (3.14.x)",
|
|
"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": "3.14.-1"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|