{"cells":[{"metadata":{"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","trusted":true},"cell_type":"code","source":"# This Python 3 environment comes with many helpful analytics libraries installed\n# It is defined by the kaggle/python docker image: https://github.com/kaggle/docker-python\n# For example, here's several helpful packages to load in \n\nimport numpy as np # linear algebra\nimport pandas as pd # data processing, CSV file I/O (e.g. pd.read_csv)\n\n# Input data files are available in the \"../input/\" directory.\n# For example, running this (by clicking run or pressing Shift+Enter) will list the files in the input directory\nfrom sklearn.model_selection import train_test_split\nfrom keras.utils.np_utils import to_categorical\nfrom keras.models import Sequential\nfrom keras.layers import Dense, Dropout, Flatten, Conv2D, MaxPool2D, BatchNormalization\nfrom keras.preprocessing.image import ImageDataGenerator\nfrom keras.callbacks import LearningRateScheduler\nimport os\nprint(os.listdir(\"../input\"))\nimport matplotlib.pyplot as plt\n# Any results you write to the current directory are saved as output.","execution_count":11,"outputs":[{"output_type":"stream","text":"['test.csv', 'train.csv', 'sample_submission.csv']\n","name":"stdout"}]},{"metadata":{},"cell_type":"markdown","source":"**Data Preparation**"},{"metadata":{"trusted":true},"cell_type":"code","source":"train = pd.read_csv(\"../input/train.csv\")\ntest = pd.read_csv(\"../input/test.csv\")\n","execution_count":3,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"# Converting the Labels to 10 different classes\nY_train = train['label']\nY_train = to_categorical(Y_train, num_classes=10)","execution_count":4,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"# Preparing the data for X_train and reshaping it to (-1, 28, 28, 1) -> where -1 represents new shape should be compatible with original shape and\n# 1 represents the channel \n# 28 and 28 represents the height and width of the resized images\n# Dividing by 255 will normalize the values between 0 and 1\nX_train = train.iloc[:,1:]\nX_train = X_train/255\nX_train = X_train.values.reshape(-1, 28, 28, 1)","execution_count":8,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"# Preparing the data for X_test\n\nX_test = test/255\nX_test = X_test.values.reshape(-1,28,28,1)","execution_count":9,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"print(X_train.shape)\nprint(X_test.shape)","execution_count":10,"outputs":[{"output_type":"stream","text":"(42000, 28, 28, 1)\n(28000, 28, 28, 1)\n","name":"stdout"}]},{"metadata":{},"cell_type":"markdown","source":"**Plot Figures**"},{"metadata":{"trusted":true},"cell_type":"code","source":"plt.figure(figsize=(15,5))\nfor i in range(30):\n    plt.subplot(3,10, i+1)\n    plt.axis('off')\n    plt.imshow(X_train[i].reshape(28,28))","execution_count":16,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1080x360 with 30 Axes>","image/png":"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\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"**Generate more images using Data Augmentation**"},{"metadata":{"trusted":true},"cell_type":"code","source":"datagenerate = ImageDataGenerator(rotation_range=10, zoom_range=0.10, width_shift_range=0.1, height_shift_range=0.1)","execution_count":17,"outputs":[]},{"metadata":{},"cell_type":"markdown","source":"**Visualize Augmented Images**"},{"metadata":{"trusted":true},"cell_type":"code","source":"X_train3 = X_train[9,].reshape((-1,28,28,1))\nY_train3 = Y_train[9,].reshape((1,10))\nplt.figure(figsize=(15,4.5))\n\nfor i in range(30):\n    plt.subplot(3,10,i+1)\n    xt2, yt2 = datagenerate.flow(X_train3, Y_train3).next()\n    plt.imshow(xt2[0].reshape((28,28)))\n    plt.axis('off')\n    if i==9:\n        X_train3 = X_train[32,].reshape(-1, 28, 28, 1)\n    if i==19:\n        X_train3 = X_train[33,].reshape(-1, 28, 28, 1)\n","execution_count":44,"outputs":[{"output_type":"display_data","data":{"text/plain":"<Figure size 1080x324 with 30 Axes>","image/png":"iVBORw0KGgoAAAANSUhEUgAAA2cAAAEVCAYAAABkPp2GAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4zLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvnQurowAAIABJREFUeJzsnXdgVFX6/p+p6b2TkIQkkIQuRVBQkKKCIBZUXNsq6rrr6urqrlvcr7rr6s/Vta6997bYQVFQLCCKIL1DQgkkJCG9T/n98d573uNOgBAi3Enezz8c3tyZO3Pm3HPufd/nvK/N7/dDEARBEARBEARBOLbYj/UHEARBEARBEARBEOThTBAEQRAEQRAEwRLIw5kgCIIgCIIgCIIFkIczQRAEQRAEQRAECyAPZ4IgCIIgCIIgCBZAHs4EQRAEQRAEQRAsgDycCYIgCIIgCIIgWAB5OBMEQRAEQRAEQbAAzqN5ssn286Ti9QH4zPe2rTOvkz49MNKnXY/0adcjfdr1SJ92PZ3tU0D69WDIWO16pE+7HunTrudgfSqRM0EQBEEQBEEQBAsgD2eCIAiCIAiCIAgW4KjKGn9O7OHh9G90lLL5W1oBAN6qqmPymQRBEARBEARBEDqKRM4EQRAEQRAEQRAsQFBGzuxRFB3zDs5VtrLBYQCAuiw+zpPcBgBw7OevaW+l/Xe+rGZlc20OU+2U7+k14T8UK5u3vLyLPrnQ7bHx/k5HfBwAoHl4jrJV9XMDAJyN2h5Zo1mXza8NMYK9sVs9yhaxkcehb0cJvbSttWs+tyAIXY82HzgzMwAAVaPTla0xhfyj9laeD5pS6DWeCLZF7OL3SVxLa5d7zQ5l8+6vpobP21WfXBAEQThGSORMEARBEARBEATBAsjDmSAIgiAIgiAIggUISllj3Wn9AQB7prcp2/+NmgMAuCSqNOD4bZ4m1S73koRxTCg/l7aM5/d59Lx8AMBj809VtvxHIwAAvjJNVtbYSA2/lHAQOCFNy4mFyrZ5FkmRZhy3UtnS3DUAgIq2SGWLdLQAAG5LWq9sbX6SJz1S1VfZHvl6kmr3fSkaAODcuFPZumviG7NvAcCekgQA8IeHKpvPTdNYU0aEsrVG0fXtavQpW/huumZtm1gO5m/iucHvYQlpj8eQ4zl7pSmTp3diwGH2Zuozb4SbbS3cj45yGu++8kplU3NnN8YeQWOx/tSBylZ6Hl3nZ+Z/r2yRTrLVe0KUbXoszRfjw3jsfsUqfNy84TwAgO/dfsqW/GUZ2Yp4PpDxLAjWwRFH2xz8WTynesNdAIDWOJ4/y4eQzefi14bv5fvMpGW1AADbpiJl8zW3GA2RNXcXJHImCIIgCIIgCIJgAYIycha+h9yIjjL2qG9uSgUAfO2qULYGP3kjNjXnKZvLRp6Flc3slezr5mjb7Nh1AIDfX7hd2eZMpyjF3x+7WNnSHl8OAPC3tBzJVxG6CW3HFwAAii9lD9edo94DAJwdsVfZGv0UpV3byiUf7DYaiwubHMoWYYzTy2PWKtvvZ/CYrJlOEZ+Rr/xe2fr8xfDIB7P3zM594MyiBAr7xvdStspxlAAlMalW2aJC6gAA9+c+r2zDQ+jan9vIEba7tk6l9/ieoxmp33F0IXT+jwB6bsTBER2t2vWn0HjecxL77+IK9gMA3M7A/vl3v5dVe3Qo/4av1iUAAG5dfLay5b1I49O1isezt7aeGsE8djVaR1H/7T2P14f7R74FADgtvEbZdnhoPO/38jj1gqKWXzVz32c761V78dA3AAD2oZwkpPCrywEAff+kRTp37DrCbxG8mJFLW1qystnaaNz25H4RjhLGOubIyVSmkul0bTon8D1qbBhd1/nRrMpalPEtAKDKywqDN+tYQfP2nuEAgJ3Lhyhb3qukmvGt3tg1n1845kjkTBAEQRAEQRAEwQLIw5kgCIIgCIIgCIIFCEpZo23JKgBA320sWfiobCwA4NPqMcqWvJRkOPpm9foskkI2JrH0prYfSxxnjlsKALgzebmyDQvZAwCImcLytKrKYQCA2Je/PZKvInQT3GuKAQCZb3Dtvb/VzQQAPNOPZbPFOymhhXsv7/b1hpEU0s8qJfgiSd41Y/iPynZb8leq7bKRX2X65O+U7QPbKABAzi3BOyZ1GcjWy0mq/Odz5yjbRVF0DZZ5OZHHfh9NY9U+lobNqSeJXq6L5SKfD3oTAOAcxNf+ycfPVO3m2BEAgJjXl/EH6iYyu45QNa2/ajsu3QcA+KzwJWXLdNLcWew5eEKPIs6vhBkRJEGfddpTytZyKsnLhnx1tbLl3UPyP9+qDZ356JYjtJgSoER/xTLD2yOnAwBeiuPkKCuKaLz7NUmzcpnysoQhBZzo49/ZdD1kO1nW/5vBXwIAHvoTJ7Iq/AtJprproiATeyhd977BLP3aM4Zk43V52vUbZQzMWpZJu5MDx7JzOUvOe33VAABwrNqibD0hoY1wZJjr2Mbf8T3q29MeBAAMdfNt9zqjTmmjlv3jjTpKvFTt5XqIEyI2q/Y1/anG6au9E5Tt1vhzAAD5T7Jk3/8Db4kQDLS6k1ZP5ieRM0EQBEEQBEEQBAsQlJEzE2/ZPtVO+/e+wL+385pII2dCpGZLS4hX7c82ngAA2HsZb45/OnMhAODW3I+U7VfjLwMAxPI++O6B5llwppOHsW4Ee3AaE8nD62xmr0NzPD3jezlAiajd7PaN2Wgkb9jGG7F99cYGd4t7LzqKt5KitKELG5QtvyQHANCcmqRs/bfQZmBPEadzb68PTG/wmhN50+/J13Hq7JXHvwIAuDGJo2lFJ5AnjT9B8OFJiVHttkjqlwX7OaKzoYnG5LsbuV98e6g8hrOBx66rjtpNKTwOR5xA3seHMz9Utofz31Dth35LpQrKP+CIhK+urrNfJehwtPA4LCki7+3TKScqW7WH+uXTLQXKZrfRa3w+9vN5W7l9UgFFHO7oNU/ZzAjcn477RNnu/uMUAEDff3EpimCOonm2FwMAUl7lKFnDXvpupc5YZStcQvOAZ29gCRid1hT2wJ928x8AAPPPv1fZLo6mRFYtY9kDv8iT2pmPHnR4RlK/br2Iv/tt4/8LoP3SOnrkN0RzpGc46a5g8QieM64ZTUnAkh7nOSjk200AtDUMCLp1zBbCpRscqTS2fHEcMawupPufqkLuIL8R3I3iDO5I+Ww3vbaHlco4FPUDaM13JnINjI9qhwIAXvOwwuPdb0cCAFxVPGeGVhplTBp5TN2Xz+1LJtGaf0MCq7tCx5Eq5O7vLlK2hB+O8EtYALP8AAD4e6cAAJp78TjdM4YeYeKGs0Im1EhYtXMDz3+9F9A1HVLBCZqcm/l+1Lx/sxISORMEQRAEQRAEQbAA8nAmCIIgCIIgCIJgAYJa1thlpCSqZtNEkir8PvUzZQuxkQQg18Ubq236Bu5ugD2KQsW1UwYoW80sknSdl/uNsoU7KCxc42Hp16nRawAAJ3O0Hou1OnJ/3ExJF5re0+pLfUFhaN+2YmXrDvWl9Lp3fkOW5V7Ff+/oN7SFkVSvKp+1on8ofF+1HUZCkAgb+1dafcF/OdsWr1Tt/NU0JnefzDK64jD6vn2/ZUmCp2TPAd/PmZqi2t/dTvUOqzP47/rm7IuTKJHKgyEn8wE9R9WIiDmcXKb/Yuq3j88dq2xxW2jzet6Xa5TtUHUeK43+P+36PyjbS7P+AwC4MIqTXESNfAcA8FTcucrWHWZYXRYb9v73AX/v8HwQHqbaucNo7Kc4eOyG2WieGBjG18XndRGH81GDFtd+ktG5y3l7gil/XqrVMN3SSjKnai+vXW1+HmVmDdSpkeuUzZSPO0bxPFvw9G8AAFl38PUCf3AkDjLX+cpzeC2unEzSu+goTrJ0Rd7HAIDr4lh+v66V/v5u7XHKtvIymkzXLRyqbFn/ZD2d30h40dMwr/W8b3hMzp0+jv5WyWMlfyHNpe1JQW1Ovr6jJnOft0wge4yd54ShRtK6ljhNpxtsaDVObUNozd98kZacZ1AZAKBvzG5luyflCwDA8SEsaW700ZgLGcD95ziPrt+rdnHCwG/f5a0RvT8iWaNvrXXqxEnkTBAEQRAEQRAEwQIEv6u9s2hP6ZUjOCXpf4ZRyudBblfAS+q0dKdR27qDX5dpmECbqtsu4429/ymglM0nhLJ3fG0rbUwt8fCm9lIPJXF4qZb7Z3BIiWqbKcxDBmt/P/1CAED6rXnK5reQ1+JYY25+rT6B+/6CqL3aEdSXbeCNwntqaRN3EvTjghcz6hAyl1Pbm9vYOxpx8GZwMpaThtD46uVo/9p12Cjaa3MFXvs9DU8peSmTHy0L+NvhpD7wR1OShRHj+NrOd9GYDrFxqD3ZQb+1o1HLwy8oaofy5vYHcx4BwNEynV2tCQG27o53HSXoyH2Iv/u8Gkpks7DqBGVL/obUGq29ONlXfTr3YVMi+apfPGW0sr1/3DMAgBQHJ9AYPJHOt33X8cqW8Ix1y5c403jsrP8/SvG+ZvoDymaOo0ofR84qvRSBmdvIkR+HMfteE8eJKBIT6br+SyQnZHs9mfsv/0aSjRwqwt5d0RNNxL0QOEZ8ARYNTRVTm8236tckLDFanNbOPNLDwbSgwUx+1nD6YGXLvoXG1dzMRcpW66MI74pWjqatbM4CADxZlqNsPtDYnZHAZYiGGBH0v6XNV7Z3LuF71KecUwEAvS1UfUAiZ4IgCIIgCIIgCBZAHs4EQRAEQRAEQRAsQLeWNdpcFK639c9VtvIRJMfzhvLGyZpC3qCZYDc3ZgZKm2r9LG2I29y95Dfh8ygRQ/iefGW74pKrAAD+KBaRRa+iPtBrcHiNYjF+bTTV9uPXzB5j1OWI52QPfx9Atabu+Oc0ZUu7muqt6PXrui1aPTlHrCER1aS0LUm0mT8ymjcK1/h4c3Wyg45t1err1NTQRncW8vVgjP5tyOSkCLnhVGPOZTuEJNnZrafFo0rlaLqmn+39orJF28MDjms1EjM4alhaFRwpFn4+9IQAdRk8ZpMc5jzAf/cYvVXU0nOvfm8FS/J73bck8O/Gv45NbIvR/h5jbHWwLeaaZqffcg0AYM0JLynbzelUn++C0X2ULeGZzn7qn58957Dka/aYzwEAjVoCkzofrTG/3DJL2Yr2kUTUv5OvVbtxy+Mo4CQ39w99GwBwXQL3d+4pvH7PySR5qXfL9iP7Ej0RO98jNCVpNTzbOdRl/NkbHlz19gDAbtQZLjmX76nHhlYDAJ6u6a1sT2+jZB6+TziBX0wxvSZ8Kyfr8+8hKf4jx1+gbK6/kqzxk4K5yvaLaE7888Tgk47wW3Q9EjkTBEEQBEEQBEGwAN3aRWyPoN2RRWdxlfFfnT8PADAyjD05bVrIJ8pwDzlsHCXz+mnbZoSNo0HeEHquNTczAoCvmavBBxsq5e3y9cpWWJpGf9PSlJpeifZSv+pkpPdS7Wf/RqnJL53KKXbPiqCSBaED3lW2h+pHdOajByWOKN7UuvNXlIxl5FmconxI1EIAQG/XwSvXh2oRuPi4BgCAbeQgZfObv6ev+8YhzAh528n8vfeMNa7fgezl7RNCHt02zWvs1KJoqQ4ak7vOz1S2jKdrAQDe2tou/tTdA7PvHemcdMAfxnNnXSaNzz1eTryQ3E7g0mf4CW01Pah2gYYjlmM4O35N5UxaBnIUsXcyb16v8xkdqPWj14igt2jlNBx55HX2auVK4A8+z/rRwmEkrykdwYkWbh/8Gv1NS87Qy0FrX7CU00n7okK15++ldO4vnTdK2WI+o+hY/Atc6qGPj9OVm9gjSIVQdiknbigZQPdWp4dzwo9BoVzO4Y0USr5i39L5z98TsIXwnFl7NqXNLz2Jr9X+A4pUu85Pc2qa9vooI+qbN4pLHzSdPhIA4P50BR9owfsAsxRO3iVcEmdlX0oUN/cMLuWS9nUNAMC/QkusYsxn+rcyFQdeN1+zv89cGHDeSBvf1w5Lp/FeGXDUsUMiZ4IgCIIgCIIgCBZAHs4EQRAEQRAEQRAsQLeWNfrbSIbYGsPVJJKcJJuJtXMYvpeD5Yh2Q+a0ua1B2UJtFDqN0jZoVl9C7xO+px+f8Htjg6EFQ8cdRvvsnl2B0oaO0pbJG9N/M5ZCymmOwCIczX4OLfsaGgL+3m0JYzlsv6mk+Xiq9yJl06V3JjU+ljkUtZEEL0Ibkzf1/QwA8OerZipbTvRQAEDIMtaVdDeJnilf3j6TZUbPn/oEAKC3k7+ref1Wa/1Y5mepcoaTXn/zVW8p222FZwEA+j7Hm5VtS1Z12WcPSrQakWaypb3/4Dn2/wp507XXT/6/UJs+ngOXnd5O2gC+82JO3pTxJMnHzHp33ZpErif1u0vfAwCMD+drts3PftR4O/WlWfdHZ3w015P7+Jcka8p7nNc6zx6jBqLIGwPwZ5EUv2E8r0NnR5iych7zdT76LSJ2BIes0bt+s2pHbCP5XN9lvD5799GY8R/ivsXmJmlyYyqvORPCtxotloK6tepdzcl0vsAUQIKOPYr7L/pqkoW+kMvrULiNr1dTwrjNuAcAOCHIC3lvK9sz/xoGAHhlxERl6/N8MQCWEloVM4FM6oO8/aijM5bfQ2t6QxqvMyNDTMEiJwgLt7PU/qwkkn4+C07yc6yRyJkgCIIgCIIgCIIF6NaRMzNpRdY89nr/s4rSazbnsdcxN6NctbetI+9ZzEb2itX2I0/QBeM4XezHw58CAFz+zwuVzf+PIQAAxyJtA2ZPQvOoVw5iX9mVMZTowmVjmxkZWtuUcZQ+nLXw13BEZ80S2gB8uZM9XLkRNCbD7Zw+/4kfTlZt9x7y+nj7cNKAO4e/DwB4fdITynZx5GwAQE4zp1O2LeaSBt0BM0Luqubx92V9AQAgxVWjbF7DF3Xfl1OULXIbT4ENWTQm35v+kLLNm/QwAGB62LXKlrecvMH+Fo5I9CRsDu7npgzy+L4x5EFlS3Gwzy/UZvYv9/O6Nh7TJnlG1PL2q19RtpvzKLV3/pMcyfCvNBLcdLfIj9anW5pSAADpWjKgCBv32cZW6vPXy45XttxISvowO36xsr12EY3jmck8dgsfpNfq0ZSegpm8BkNY7dLQmz3pDSk0bvsk7VS2eh9d43EOXrsajQRiMUXBp5Ax56zOqGJsIdR/rXH8veMdgdHDEC1K3pRAfSqRs0PgYQXHrioqrfNZQ0G7h5a0UBKWec9xsgxHK82HbVOqlW35SJpLXbP4vd/dMhkAEPWmtSNnR4J9IPVbNVeFwtdNlD5lWgSn/AjREoIMD6GES396mMtJ5D9Hig1bCT8feCuM5DpHYf2RyJkgCIIgCIIgCIIFkIczQRAEQRAEQRAEC9CtZY1m6NG1YLky9V5w8JcURBsyKC3RQsQkCpMu6c/SsLtSVgMA/pQ9T9l+Nf0qAEDuok5/4qDBrHkCABXnU92TumzuM18+b1bd5SUfQJymgDBljXtaYvk9jRwZwVwvrqPo3zHvHzSW9qclK1t5PNUoao3j+icFJdyn9ira2F8+OUvZluXTZtZZaVXKdsVAqgnybv4EZdOUT90CU76c9xLX81n05RgAgJZHATYvzQf9N5cpm7+S+6rkioEAgDofbxQebXR/n1R+b7OOSk+VNfo9LBMP20HSj9M+vlHZ8vruVe2EUJIk7qnnOl7+J2ice908X+w9haTjm6c/rmyxk58FAFzdeBW/94/dTM5ooo3DhU+PBgC8lz1a2TzRWm2+GppIc97h+eD7eLr251w6VNk2jXsOAPC7MZ8p28vLSdKbyOUsewz2SFqzNl7CyReun/SJaue4qQ5igoP7NcQWeIvksvkCbGpO0ORp3QFnaopq14+gtcadyjVOK7w0LmO0eTbBwddo7QQ6NvHHgcrmX24kTutu0uQjwFvLY67XAyS3eyN5qrI5mnnMuepojPVatZbfIJUSvBRP5qRrLiO5XYyDtz54Q3jO7Q6Y96E7rx+ibBddSAnobovkSa6Xk/pgv6ZErvOzVDzFkOduOZfXn4cmUK21J989TdnynqX+9RSz9PnnQiJngiAIgiAIgiAIFqB7R846gZlm3JGfp2wlk8jDc0/2FwHHb2lJVe3QfT3nWdeWwfXpz7/pUwDA1Ej25Pw09TN5emp87MExOTl6k2p/eSMlV+l9P0c6e0J0QpUQ2FoU8De3fpzWtvemRCoVI9h6mpF4RafGS54ed3039lIaHljvBk497t5w4MN137ZjAO8aTp1O3rD+Lj1yS+Fcu5bI1+bq4dOm5vH2raU03P2uaf9QMx4U7mLPMPyUKtrRO12Z9p5CHno72LPb30jm4ujFnvruireCN6onPU7R7qQDHWxi475yjiHPcUZidcBhelIhf89ZogLx01yZWViqTFMj16l2lpNmW7vms97tob5z+LgPezmo3/edx+tZzPd0H3Ak5WeshCOWIt3r7+qtbI+f/CIAIFwrQxRuDMF9Xk7a49Xmh6eOfxkAcMfd05Wt9m2KCKe8w0lp9PHfI9HKGNi/oYRdh0qi4nPyOlR9PM0WLw9/WDuCxnOE9nt5QtGtUOUdsnhVnxRF96F6maZlzZTo79ZVM5QtYj5H0M1lZ8hsvod6NvMbAEDFNJYaffMDjd0wiZwJgiAIgiAIgiD0DOThTBAEQRAEQRAEwQL0cH3Ogdk9jZMzPDTxBQDAlPA67QjaQFjUwuKTyN2BG4W7HYaUxq9Ju4qaqA82unnzcJSdJR8rjbocr5dodXmiKcHC1YlfKttLV1OtpJm5v1G2wvtJZtoT6/IcjMpxJGu88ZSPlW1cmCn/4nB+naFjcNcGX02eo0HZ2HjV/kMGyXOj7YHaD4ddu7adMm0eLn6ttpkjjuaD0lN7KdsDE18OeE2dn+YaT7Mr4G8C4MxgWeims2nMvtn3Lf0IAEC9l8ezqwE9Fl89ffn98wco2wVNs1X7hF7FAIAoJ8ua3//gRABASyonwZl9wtcAgCVjOHnA5P/Q+6Te1p/PtzJ4s67YwkgOf+eYd5VtRAjV3avzsWxxfRvJH69fyfWhmho4idXphdQHr+W/qmw3XnYmAKB0V66yhXzcw2WNncCv/Q5lY2l9GupuL4ENS/66m6zZa9SLzXmL728uKb8eAOBo1pL67aG+ylrJ9WVtG35U7eZxlLDGh8CEKZkhPDbr0+i+PyzgqK6nm/1UgiAIgiAIgiAIwYk8nAmCIAiCIAiCIFgAy+tzHCkkL/TkcnZA5zaqo+PdV84HHqxmhp7Vyng/hHNg0hfF7R1nkuSm93jOxnJmhCkX40JdZubBbfWJyha1o/vX5zL72babaxmtvZPqnH2bMUzZWqP5JaaUJu3z/cq2IZ2yW82a3VfZNo4ladOdJ7GU4t7VFwAAUnqarNFOY83uZkmXGXoHgH2TSSY2Tcs2FmKj7EN6VswN1SQ1ddWwrKxHYedr1h5KcpvqswYrW9sUzm43KGSP0WJZztxG6tP6BzOULbx6xc/xSXsM/iyay+snsMZuSriZ15F/r0afUTuqWSuQKCgaB/CaWDB8BwBgoDtQllOnyxobe4D0/gCYNcjS/r2Ejf/mZnFiAgDAl82ZmnNLqV89GQnK9qxrLADg1tM3Kttt/T+if8dfqmypK7vogx8DfFU0L97x7vnK9uRxlOVyfwPnEWwop3bBI7zlwx/GEtDPbqQasY+lL1W2CfHUb88mcaZcnnGFdtHXsQjq892/HqRsE4ZSrVSHjeMtez2UIfdPS69QtoI5WwEA3WaTg5Hl0vk5Z/jO/vzAh+tPCfYk3pK0dwzdZ72Z/ol2BNVQy3ZzjdOmlKNXJ04iZ4IgCIIgCIIgCBbAUpEzWwj5T/zHsUdlw6Xk9UvP4afX6kXk2cp8lp+DveUURXMksocLCRQFa+oTp0zFJ9FXnjXtK2U7P+YH1S71kqc8ycFe3RY/eS1WacGHu3aeBQBovoEjZ471VFypG1eUUnira1Q77P3v6d9DvSicPW4tAyl6MSZzY8Bh1V4+ztlo4d7UvFmOaKNmhrZJ16yZ11Ecmien5CKKKNbm82befv32qPYf02gzay8n+xwrjFozt5dOUDbbvfSe9hVcv8PCPdpl2IykHZWXjlS2wqsoynh36kPKluHk/o0xEoF82Mhh33/97WL623x2g/s8eqU04X8x53EAsDnoGmk7vkDZNl9Av83sQp6DnUbErFKL+v59F82xWR/2hBHbDpriwx7Gs2vzSZR0ovgs/vsdqcsAcD8CQLGHFB8vrR6lbH23kTe9h/boQVG1trSaW/5omguq+2Yq2/j+a/G/7PPQcc6m7tGzvmZSAeXe/mOALb294/X/HM8RndP6BhacTHDQGGyNPnpRiGDEpiWeKv0NJ1ObeBlFIe9JuF/ZcoxDG30cb7lwI61dhX8pUzZPuaY26+HYNFUSCmhMJjsilKnFTxHgHxp57UpecfTWfomcCYIgCIIgCIIgWAB5OBMEQRAEQRAEQbAAlpI12iMppLj7xEhle/30RwAAo0NZrlE1gOQav5o2XdlW7DiO3sPBWx3tdpIYjMnk0Pp/Uj8DAAxw6yI8bg8wtkrWa3H6h6sorPnEZ5OVreD+3QAA/26tlsnBkpII8Of3Ue3955AE7770T7UjSM5Y42FZo7veen1qyg1sBbxxvGQi1ctqTuLPm/kJSbQcS9cGvrY313iq70/S2N2TWOZx08QPAQDXxu466Gep8XGY/ZriGQCAhuu4Rp9rNclS/L7g2AJs16SvrScUAgD2F7JMLvUb2qjuW71J2RzGvOEtyFK2ohk0h/z6LK4Dd3UMJZUJsel1s7htysDuvOe3ypb0HvWfKenpjtijogAA/n4s3bJ5aAK0FZUom5LptpNkxRbBcpDyaXxdjPoNJU/5Y8rDAeeN0jav7zTOd9nGS/iAx0iSG/EFXz9WTmehy5Ac6ZSswx/Ba4t/FyVR8tXV4WCY71N77ghla7mYkymdmUkJLYaEc9KqUSGUrKFYU93MXHklACDzFS2hyvqth/4igsIzKAcA0HYe9/+DGeaaxb9tcTPN4ZElwTHPdpTOzHv7RkSp9qupZnYGnh+UrDEK3R69FmHdCGpHbuCx5N1SBACwh2m1NXN7AwB2nMk1OK+cxYkqro2jtS/EFlhFJxkbAAAgAElEQVSPc049S/IjrqF/PbtLAo7raZhzqn5/sen3vN5dkv9VwGt+aKF5843XeJtI74W0veForEMSORMEQRAEQRAEQbAAloqc+ZvISxNSzdGH1/aPBgAMTP1a2eIc9PT7QjZ7xff2pmwd4doe0zQnR+CYwLQVt5UPUO0+IbRhckU9e+EXzqGkAvlPcfIKTyV7PwQDbQO7zckRCXsOeSh2nhqjbJcWLATAvyUANProNyxq4iQr7lrreSLtcZRgZuM1/H0WnfkvAECKg6M8j59NST2eXH+SsnnayBuTlsAJVQbGUxrcuxM4xfOYUPKb6GnxV7Xy2E03vI8P7JuobI2XkyvSt1WL5gYJNpcbAFA3lTeTT7+NvK5jIzhK9ulV9PcPivm4tGiK6Fze6yNlGxdGEcd47fdwGtPdbeVDlM3n5zH7+gradF341T5l83bTiJkZLQOAfRdSiYbGyfXK1tZKv0f01zw3JmygvvC62KfXkEbH7RvH6bPvOfk11T43wkyRz9e5SZU2ti9c90sAQMR9fE25l9B1YfWopYqYDeJEVttn0PdoTuFQVu/5sQCAyM+1JEhGwhRvfm9l2nEqrVsnTl2tbLemsec80xnYl7VGIoAZay5TtrhH6X3cX2rJgFpaOvKVrIsZtfVrvusjUazoUWAjQYB3OCcAKJ5Gc+5t+R8qW4w98B5idzP9tuG7OCpq5Shvl2Gs+c4sHr81x/MYSzQSLJjJFQDgveoTAABpS619XR8Jjli6/jf8mUuwTB5J1/OSElYQtWyiNactjueJ4f0pmvZg2hxlGxvKCepCbDTnXr6T7ytOiNkGAHjg9bOULXO7VjKiB2LeUwDAzltIhfDY5U8o2/iwwGiZfr91ycc3AAAKX9yubJ7GxoDX/FxI5EwQBEEQBEEQBMECyMOZIAiCIAiCIAiCBbCUrNHXRCHF6GIuKDb3q+EAgL6nsdTo0hiShejygkwbyRM2tHH4/P1q2oB5TtRmZYs0kgGE2znk+f6z41TbZqjoQqtYlJD9LW2o7HZSxnbq6Phbue/9Ha3nZEhDPOOHKlPJeO5ffz6F5Kfkfa9sZ0dTooUqTbX44H6Sj65+dLCyxS9aBcBaEhGzPobfwXKaOh/1QaYm57zSGKdTj1+nbF5DRpeq7dFnaWegr2R+Y6pq37J4pmpHxtK1EjKXZWAJW789rO9hJWwumopaorkPRoSTnGA0KxMxIoQ25P4+gWsTuozaTi6bJlFqR0Zn8saCMard7/kq1S4oIjmo9yhKF44V9vhY1XbMoBqSnw96XtmSjTE593iWhi+tp0QfuaE8F58WQQkm0hwH7m8AeKKGZeI7W6gW5aoq3izve5OSf7i+Xs62Nq2wpIUxN5kXn8HX4vuX3wsAyHXyGjV3EvXlQzsmKVuIg+bYkXFcT+rXESRrOjGU6xMl2Ll/5zbS+8Q6eJx+WE1jOvRprunp/oKuFX+Q9OOB0BOt2HOzAQD7xiYFHJeyYLdqe3ZS2+bmdch8H38r3yOU/pqTrjSPJUliejyv8xcl0fierCVf8frpNzV/BwBY/xzJfxM3rujQdwpq9PqeuXRdb/oVJ6H6xdDFqt3mpwX+uxZeFxe+TlK+jO+02pE/zyc9diTT1owHT31Zmc6MoOu1vtcXyrZqCI3PWDtLQfs4qX/1e1RAbxMr3mBpf9mnlIAoc333lTLq9TNNTJm2XUtIhT4ksS2eyQlVbr3wTQDA+DAeafu8LBWtM+rTPlR+Cr/NHJqbPWXHpjacRM4EQRAEQRAEQRAsgKUiZ+bG3pDd1crU7yV6Wn6s9gxle6SAIl3eUvYmhu6j50yHtsfUa2QaffnkUmVLi6DkARs+7qdsWa/yBm3Tq+ar583xnu6WIt/wfDkKcpWp5DTy9LTE8XfN/oA8if4VXIrAEU3eQl8f3ui692TyGMdP45Stb/V9U7UHuwNTvtYbG9iv2Xm6su24lzbUx3/MXmQrJgPwllHkIOsj9vxf3/cCAMCL/TgZQoaRkKaf5gIxN0Z/3Mge7lpjoJ4UVqxs2z3Up7cu5w2+hffxmMQ+8u56y4Mv+Ud7mFHzpG8rlO2qTygV+NtTH1G2oW6asiK1KFmLnzxcd5Rz5HZzPXlyZySxd/aOFdMAADlzeNOvdz1H1XtSKQx/M3tqKzfROF7Sl8s7TAmn3+GMcB5zZ4SbaYS5nyqMyHe9n98v3MZeXjsoUnzfYr7Os/9rzPMV/Dskbqc52BuMUR4j6uvXrvNSL3lyc53sqZ0URuvaMG2OMInXvOQhNnNZDkw8AQA3L6cIelsDvyZ6LbXTF29RtqDsy3awJ7AHfMttNKe+PPo/yrasidLdP3Acj7HEH2h9cjbzWPW6aSxWn8Ee878OeUu1z4mkaFukPXC9avFzXz9dQ575V/86TdmSFlC5B1+wJ1w5GMZ9w/7Ljlema2+hpBW/jN7X7ktqjCRfl31+nbIVvkAJnrqzQsHWQHPbDYsvVLa+42kdK3TzfesYY6i1aePr9boUAMCaRk6ycnoMJwf67YpfAACyF2gp+fV1rBvgMK75fWdxkqUa45Y9ehsf52qk67sqn1VgvUbvAQA8nsPJP8aEmtFyvm+4pYTni0XrjHvP7zjCm7KOTuQ9RmWIJHImCIIgCIIgCIJgAeThTBAEQRAEQRAEwQJYS9Zo4N28LcCWuTLwOEcKb0KFKUesqws4zvYIy0MavBSizAS/YXcOr7eHI4aqyG+5NEHZPr2Q6nT1cfEm55fOJ6njk8UnK1u4i/p5QCzXnvplJP1eE8J5Q3aygzdozm2k2H2Sg3+bubWU6GXXXSwvjZhPckarJwIwE6U4Gznc3fQUScImnH2tshX0og39G/ekKJuvhMZiRAn7RTyGtOG2PP7ezgoKr2fOZ5t3w1b+EMco1P6zYUoKK1jS3OtzkjbM3nSDsrlPo825Veu4Fp7ZR+6lmjzZQ3K8V8MGKltOE/096Gs9dQHe8krV7vU11d25Ofp8ZSs/kWpI9nbzceWeaONfrpH23IYTAQCD0vYo27TEVar9D0NKmvsaj1fnEkqQoycf8gaxpNRbRTULM75gmeYNI0jm/N7QZ5Ut3UiakubgZdeU5D5RzbW1+oeSPDzHxbKlt2qGq3bSHJpDYpeyjNy7l6T73o4mcQoibKGcCCAlnrYl5LlY7j46dAcAoP+UZ5RtxfhsAMCgUF6TJobROl/l49fq65TXkJa918Br4LAQ6ten9p+gbMuuJvl05Goe51aU37eHPZQWG99QXncdVdQv3i1Fymazk0zM3idT2fZOpuRUp17FSScuiaL+qffxtdzo52v9lRpKWpH/JM+53gqeU7ornr209qd+wv03vfwmAMCsyd8o26JSqoVauZQTf6Utob4M2cf3pWsc/VW7z256b+++Y5Oo4ufCHJsAUDaTZIav/+U+Zevnomt1Qyv3y7Jm6t9cN8tqh7ip/34qTyY5414Py/QXrSxU7f7/j8axr9Q6NU4lciYIgiAIgiAIgmABLBk56yhmYoZD4W8nmtajMbxiDi1AtamNomiZTvb+XhpNSQHOGcgb2Nv8tME90s7eTE5hrqUz1fjtF5cAAGzN7AuIW0PtlG84oUWwbWB3frNWtaON9PrR63kTb1McpbfNaeTv5Sgh7+RPvIc26gszRT/AiWmCPQ324eItZ29gxBxq/2RUPUz/xGEL/pf20jF7JUrWPlrkNXILRX4KHuQ/P7JtBh2mZS+O3UQ9HP8dJ1jK2knJguq0NMdvuAaodl4b/U56tLLDJTqCBaMvHc38vdxvUcKfyU2/UbYh6RTpWlXCiYS8uymaFrWd58b6TIoielO5z2KWsRc47QtSLXh6QAQCALwle1W78T0qt/JNLqsRpodTNG2ilj9lYhipOdq0KI65TunRMp2vm+l26MYFv1C26DS6d3B9yKUnElcsAwD4gmUcayVzmseRkqD0Sh5bzTX03WJWj1K2VgqSwzWCS41cn/8OAOCcyO3K5rDR+H24coiyfVHOUbndX9N62KdYS1TTya8RVBhzQuwPXA4j7htay7/+kqOwEfuM8lE7WBVjqhp8ujpG+w2DWWXQUUKq6Tt+1sCKgl7RNIb0hCqFbrpH9Wpd8nUz/f3u4qnKdmYaRbn/s268svX5L/evZ8cualiobyVyJgiCIAiCIAiCYAHk4UwQBEEQBEEQBMECBLWsUegc5gb29EUsmbu+H21gf2UUb2A/zk0hXn1jZY2PwvCzd3Il9anxawAAfd0cwv9bMdfnynuRJHquTdoG9gozHG2dMPLhoksOVXstJ6UwPR/6NzyYEKanSRgFa+DTxqxJxtp2DjRobwx3O6liJ7CtZ7lXfBHNmdFFLHMuTaS6klnlLClzbqPX6Jv7U02JqINr8vi0pFXBPGd2Br+X5UehVfTd//Lipcq2ZdZ8AIBPKzRnt5EE16HNvnNLSdL395z3lG1jC9f2u/Pr6QCAwgc5EQsqSdbnq2ZZXrCNdUciJ0+quZZkmkuHvaBsMXbSg75xUhz+l7Fhu1TbrNsJhAcc9+qWEaqd9X/cP9lFlHitpyVdM/FuLQqwhe4uCTzuUG/UA655PalOzEd0T/lM0nRle+9sGouzMzihyvwquqa/WsJS+uyP6H7TbSSeAoC5bkp6le3hZIM+i49JiZwJgiAIgiAIgiBYAImc9USMjabuigZlyn6EPL0X7rmOj0smD2/4Kt5pnbyCbO4yfu1jubRpsymBPb2x29gL4lhGST8kOYMgCN0VXwPPiTDaNi1pR9j/vgDte8yDJS37UUOLGsTOpwQ0sSu4DMwb5acGvCR+I/Wh60f2lIdk0Bp340gud+LVsm3n/0CJRX5SyqcbRCxsTl6Xq0piAACrBvJoPCGERuGsqCr8L1Ve9t/P3jkWAHBF8lfK9l41lXiIfC9a2bwbvuc36G4lX4SjgjmXJq7hBHXORZTI519jZylb9A6K0has4Qivp4TKuvj0azcI51SJnAmCIAiCIAiCIFgAeTgTBEEQBEEQBEGwACJr7MH4VnMiALOKRt7idg60OwJMeg2OsPX093A71+LQN00HvzBEEARBONZ4qymZFcx/ASRu2X6Ao/9HNrqBkmHEbylWJj3ZiL+bSvA8ZZxsJu81qr15ZexlynbbsI8AAC4br9mv7R0NAFizoo+yZSykJCs3Rw9UtshdtFUhfvkqZfN1034Ujj72L39UbbOOaVI7yaqCK0VPx5DImSAIgiAIgiAIggWQyJlwaA7lCTP+7vcd/DBBEARBOCYYCQJ6XMkSbf127aPoYcazMcp29yoqo6MnR0n5ntKR53+7Sdm8VZQwJMzlVjYz8ijRMkHoWiRyJgiCIAiCIAiCYAHk4UwQBEEQBEEQBMEC2PzdoI6HIAiCIAiCIAhCsCORM0EQBEEQBEEQBAsgD2eCIAiCIAiCIAgWQB7OBEEQBEEQBEEQLIA8nAmCIAiCIAiCIFgAeTgTBEEQBEEQBEGwAPJwJgiCIAiCIAiCYAHk4UwQBEEQBEEQBMECyMOZIAiCIAiCIAiCBZCHM0EQBEEQBEEQBAsgD2eCIAiCIAiCIAgWQB7OBEEQBEEQBEEQLIA8nAmCIAiCIAiCIFgAeTgTBEEQBEEQBEGwAPJwJgiCIAiCIAiCYAHk4UwQBEEQBEEQBMECOI/mySbbz/MfzfMFE5/53rZ15nXSpwdG+rTrkT7teqRPux7p066ns30KSL8eDBmrXY/0adcjfdr1HKxPJXImCIIgCIIgCIJgAY5q5EwIfmwhIQE2f0tL155j5CDV3jc8EgCQ+kW5snk3be3S8wnC4WBz0rRpDw9XNm9t7bH6OIIgCIIgdCMkciYIgiAIgiAIgmABJHImHBL/iUNUe+epEQCAhDVeZYv6ZC0AwNfQcGQnspH8tvSEKGUquGAjAGBPaZ6yhW06stMIgTiSkgAAtogwZfMU7zxWH+eQ2ENDVdsWQREsXz2Pv66O5rZMGanarptLAQBbVqcrW97vvzNOLPJ6QRAEoXM4c7IBAK3pccrmKq1RbV/xbgCAv631qH4u4QDYHQAAR98+bPP5AADeLds7/7ZH9KEEQRAEQRAEQRCELkEezgRBEARBEARBECyAyBqFQ+Lcx8kOYkfVAwBaR/JzvW1NKjU2bzvs9zaTKwCAbUBfAEBNf4+ylTWSxNFZ74XQtbRMZale6M17AACbdiQpW7/ZJdTwWafvHX1zAAC7ZqQqm4eUtsiaqyXl+GFt15zQkCz4HZzxNszZBgDwhfn4OJtxPfit01eCIAhCcNGWGgMA2PpLh7KFbef1rs9rtMZ4inZ06XlNOSUANOUkAABCi/d36TmOBs4M2m6wd1qmstmNZTllHveZp2RPl5zPkUR95X2sWdm2lSUCAHIv5t/wcO+jJHImCIIgCIIgCIJgASRyJhyS6hEpqn1O788AAI8vH6dsSS3lAa/pKPYoTv6xbWYsAGDZGfcp25glvwYA5O6oUrbuFpvwnXQcAKD8OE7GkbCOElqELNuibF2Wrt2IBkHLXeF2UK+GRFh8k/H+agCA38GexDsvegUAcHvDxcrW64fOn0JPkV97BpV1mHTrN8oW42gCAFTNz+IXWSi62KXYtBqZkuxEEOBMo7ln/Z0ZbGwhP3e/3y5nW3edE46QulmjAQBl0zhpU/rbLgBA2PvfH5PPZCWq+9H68+cT31e2h+NOUW3vJ1ReCEVddELjfqB0Upoy9bmE7jvWfNm3i05y9PA30frcmMZr17BJGwAAuyr7KVv4O10TOUMUSXdCnE3K5G0x77F87b2iQ0jkTBAEQRAEQRAEwQLIw5kgCIIgCIIgCIIFEFmjcGAMSVNrBIeHTUnX1P7rlG1zRiEdvmPXYZ9Cr00Vto/Os93jVrbWKqpnZWusOOz3DhoMF0nk1FJlKj6eNgXnNucom23xys6fQpPqNZ0yAAAQ/Uf+vWamkA7wkRfP4xdZUZaTTJtv4yfsVSYvaNyElXeN7M7fxglp3HUkSzg/hnWSy5t7AwBcDRbsny7GO+441d5zEl2LYWXcz6mfUtKYn7MmnrMPy0d9UST9te1hKbW3ovJnO/eRotfjs6eRPNxfV69sVv7swYKZAKBmNMsMnQ103YYv3aps3qoqdAV+o4ZRYQ7LonbXxHTJex8t9ERc9TOGAwBqcjl5Qe+5NC6967qmqKh+voYUWvCGZ/OcsT2J5GZhPVVGrX3vilNI7jkxfLOy3b1vmmo7yow59whO50hJVu2qiXSPUXdKo7LVt4UAACIP/5bumONPo++WOIrvpyKctF3DVXskvaadY8xQ1f7ry88BANr8PMZvu+9K48DOj2GJnAmCIAiCIAiCIFgAiZx1EjPtaFtarLIdSWTDitictEm3LYq9OrEOinTNXTtQ2fqXkBe7Mz4JRy9ONlI3iqJyXzYUKFvaIvIfdFXaUyvSkEpeqslp7KX8sJX612/jJCE2dA0+J73TPVnvsM1499BqbQOrmTjEShE0I6oV6ebN5CNDyJNYP71O2eJePIJz2Lmn63vRFBll5z6488czAAC5izcoW+e3/VobZz0niEk5mbzpvSM5ArGlrj8AIPrniJwZ42/7ZenKNGTyRgDA6nk8R/S+61tqWNDTbk/h0hRFF9H38Ln477kvGF7wLk6L3aNwGgkNRrGvOXGAEZG05SlbyLxlnT6FI6+PapfeT8qOt3OeVbZZd/yBGlaaKw+C38OrtbOJZq97r35B2a6PuwIA0OfPR3YeewQlS6ieMUjZhl24BgBQXBevbHFbjDTkFryGjwYOLTHa4GyaE0K0BT8imRVG8Bx59MfmZnWS67IyAMB3/V9VtmHzfgcAKFzU+WRvxwpfOE2whXEc9hsZTdlTVuQOVrbEBZ0/h3NziWqH2uj3qPRG8t+7QFUjkTNBEARBEARBEAQLIA9ngiAIgiAIgiAIFqDbyRr1xAd+L4UW/S0tBzq80+y6n+RmY9M3Ktu2URaUgR0BjnSq51I7oE3ZCtwUAneWc1jcryX16Ci2EJLy7ZvIm7ivO+5jAMCGBq63EV5m8bpbXUBtH/KRpLtZLjY6jWROy/pyQob4b9Bp9CQX9jaSjkTZWYz3+50zAACRm2uUzXcENTp+Lmw++uwj4lkGtsMTDQBIeyykS85hz8tW7foplLwh3cHzSshykur4Gg5/3AcbWy9kqcZDff4LALjxh/OVLXtHU8BrjgSzhhQA7DudpGThwzkZUFkjyX8i9gSH/KmtF0u3Ik8giVBmNF/n+xdnAwBcXSRr1BMvtHxMMsr9DTx2U88xkgx0kzUKAPxhdN1H9eN+HZFEkqZ13th2X3O42Jp5HTq99zYAQLgmO3M2B8d4bI+ScTRmJoZxQoiwsq4S0RNNiRwHuDWN1vlrGi5UNkct9W/w9mLnMGWfFWcPULa7M54CAGxti1a2tAf4fstTWnbE5/Wkxan20AS6h/2sie+7IreQNNBWU4egQEuo4omkvsoL36dsX1VRwpmYojZ0BZVTWC6d76L7pJmLeDwXLKUtD0dyByWRM0EQBEEQBEEQBAvQbSJnlbNPoH9Hskewzzv03Or69Id2X3O4OPpzdfHYMNrA+nkRV1Dv46aq6r7mIPZK2jmdbnMObWYfWbhd2fKc9Dw/aDSnKF57M/WLTXNK6JvefSHkDwsrY1+A03DSpczgRAJXx5BXd2/kWmWbfDZt4Oz3jRapawv+aJru4Tb2k8LnZ+9Pm49+B3dD1/gS7bGc6nnXJHrvUM3b9MMK8gQVVrIH32fBzdllp5B3b3bcK8pW7qWx4WgJvO4c2ve2xZEX3RvL0aCfuKeM/ig6gz2Wdwx5Ff9L6hTyyjtf5SiPZ29pwHHBjJkC3p/CqoNYO120M/M58dEX2ScCAKKXdM15/dH825x/06cAgKtjeT4Y9taNAID8xewV9VpwnJpjqWxUhDL9Me8jAMBda09Xtqwd1QCAI10xzHTy+0/urWzpoTRH7yyNb/c13QY7XcT5iTwmpsStAgAsGDNM2bLmd/4UbZmJfDobrVmXb71A2eKW0bmDZuXX1nlvKl3jZV6OgsefQQkPbI8e4bpr/DZeriiBXYbSYfsqTvTTbyuV5rHgldzl2Fzcp75BuQCAprNYsXJyKPXz63WcLK05iV8TlUT3Zd7yw0/W4cindX7jxRxNfyRpEQDg9C+vU7bCOUaioi6I0h0NdMXcvhEUSZ8UyeWe5uyk1PeJ27l0SWeuVftQSoDVdE61skXaaXDHLmPljq+xEUeKRM4EQRAEQRAEQRAsgDycCYIgCIIgCIIgWIBuI2uM30gh+W//zrVHBlT/FgDQ59Mje29HX6qgvv8+3t43f8BrAIATnryJD3QZWr7m5iM74THEHsHh4YpBFKb9Qypnogi3U3j93qx3lW1lai8AgFerxBWqaRwj7CSbKPewXMzkxDCuRRFuJ0lTohZwtsUZUgp7125QPtbYI1nu1GaUOMlxsyznlapRAICYdbzJ/UgkMzXjc1T7tJNIluaysW8mtBclt/D05rpMMCUNx1g25khgWVblaNKAhmuSzELjsgu9i6WFRftJfhARwlKcCDe1I1wsbSiu4o3RLS30RrMKvlS2qeHUBw4b63L+1udDAMA/e1/CH9IifXUk6FJb/0CSv8wc8KOymfVcPnp5rLJlLCTp3JHKucwEQU19+PcYFlYMAHiphmuaxW0wfveq2iM848+LPYwSRtXlcc+kO+lajgjV5GG+zm8Z1+VRleNIzvjfu+9Ttkcq6Xeqfi5TO1/QCO86jK2R1tus8P3KVtxK81ivr45MAu9ISab3m8jz9W8jKCHIq8tHKVv/1uCQf5nYw3g+CwmntbrMy+Np/zySHPZy8PfydzSXgjY3+/vR2HON5Tm31U+SyoTVfJyvLkgST3QBjtRk1S6aRPc8tw9g+bzLRv0zObxY2dbc+r1qf1eeDQCoaWKpbV0tzTe2/fwbxmyi/g3fx3NM6Wha8+867Q1ly3XSax17WZbnr+T7jmDAlsZ9ihNIcjjQzeNrUi+qIfvehbx2uas5AYrfWPp8rPaFu5bW8pAaXtPLRtO/jw/k5wwT+xROXGV7lvrySJIRSuRMEARBEARBEATBAnSbyNnWC+hJda+2qdXr7hovtn8PeY/KdvdXtgV5tFkzpFI70BvEXknD2+UvyFYm+wTyRJ4eHvj0n+uK1Nrkxd7cxqnFN7ZyBKbUQ4kYUp28iXJimNlX/D5FbZS2fOKi6/m9n6Hf8Ocoh3As8RRmq3bIEPJSnRjK3sMRSbTp/OuxI5XNPWS0ajfHkl+llfNdoDWG+spdyx4jh9FtEZPYA/qH5AUAgBg79/3Tw14CAPxu8LXKlriC3Eh+D6fhPxa0Ds5W7RnDKJITbuOMM2Y095mcOfwiI1AYY2dPot3wRdX7eCx5tS3oMcbGXtNzSZDtiWrevH7P11MBAIX72VNmyaQUHcVIDmDvwxGWDVdSBP3D5OXKttUox+Bs1L6rr/Pf2x4VpdrNJ+YDAPZdxRupzTniqo+mKFvhx3RdeDqxGf5o0nQKpcY+90T2eMfaaW1yP8eRYO+2ziersmvJU+oyaWzv8LDy4YOtgwAA2eXcp9YrjnHk1AyjxDy/jHtd2Va0UCTRXckqFnOkOuI4OotUjj544ik65tdUGpX5dP3nTeKkWCeF0nV/x5j3lO2RCecBAOJf3MPvbeEopec4TmQ22igNEGrjz+uqN3rLHui/169bewL1pd+tZQBz8W1l0XRaoB7q/7SyDTJKxpSfzKG4+Fdpnu4Oyb4OhDOb5tdd53L5oAkzaH49P7Im4Pg0J1/f96ayggFGu9HHfVVhtPd4wpRtaRMlG9ncyImrro/ZEHA+r/FT3zT9A2V7/+/ZHfhGFsC4b60bzJGza/Mp8VKIdo9wXQJlrMr9BauT9ns5Gu4yxr5LuwZKWmhs723hm6xrYqn/xoXpCT/oPNf1XaQsbzrp+pLImSAIgkS0uBkAACAASURBVCAIgiAIQpAjD2eCIAiCIAiCIAgWILhljVqtDnsLPWfqYV1HGslIHNGciMJbe/gbyb1DKUSZn8eShTnlwwEACetZNtEVtQ2OFTYH9eXeE1my8NqQfxst7lOvn4Qx6zT5wUOlkwAAn69k2Wfkdh5arjqKm9fmsQTqw3PvBwC0af6BWT9cAwDIf0BLqLKR5CTdRY5j1uOoS+cN2SNSSVZi1ssAgFuTKSnFU9ey1LG0lcdxgoskpIku/nuSk8Z2m5/7PsFBUtFhIbxZPtlBcol6H/fzymaWuVgFUway9UyWJt4TT/KEcE2uaJLsiAiwzW3kPl1cR/X4Nmr1Y0IdLNm8Po3knoVulkYvaKRj7//gTGUreIMkIb4dJR39KpbGkZQAANg3jvvllyfQ+NMlnoVuGrsXXLtA2RacR8k69jdyDch6rc/bmkjy4Szl3yvSKKXn1TZst46lcfzisBeUrcpLsid/GEtN/C3WlT05U7n/Nk+j7/ZWEidTajWkr3UZ3KeRwwoBAI69fH16SjRpXDuYsrzKqfnKNmQayW1eKD9J2ZJepXnbt3bNYXyL4ECX1u09ifo6ycHry4wIujaf/H+8Jtc0UV/HhWv1vEJZau+002+wr5Hf+7gYks/ekMJjPs5B18EELWHDXdn0GRI0SaTfgouWWb+w7DiWv86KofqsfZw8LvN+SQkUlp/C17U7hK7H6HBeN6LdJNvaUcnv19bC68/lQz4HAJwarmcTofXnd6O4T+e7STbe7WSNWnKUtjRDTnsSJ9u4PfVzo8Vrl3mPVeXjcVqnyccbjYQqnzdwoqRGH82vKS6WK06I2AgAuCGuOOBj1Wjv/XEDJXR7s2SEsoWiIuA1VsSZRfLl3VN5jbgmNnBdNiWis2M4aViFl7fhbG2j66LBz+vUyDC69+zv4vfmezSWTP6h9DgAwPuf8raTnJZlh/dF2kEiZ4IgCIIgCIIgCBYgqCNnDm1DtDc2MGlB6A/GBt9ObNZ3pvEmym2nklfo4UzOyb+qmbz6b/Rj70XiV4bnycIbgQ+EmTK4sRf31QB3WMBxK1upny9ZfqWyxbxDv0P/xeyx8JbsVW0zoUTdPSfw+Wx0ntt2naFs6Q+RN8K3aiWfMJgTLbSDPYaiX5X92Ut5d/p8o8Xes0QjCvSXxE3tvs9OD0XEdmkJAKp91I6wcTRtiJuOi2snqvSnveNUe8mzwwAAaXOLlM1zjBOBNObTmBwzer2yFboCjzMjgI9WDVK2J7+YAADI/ITd1+HLKWTjLdM2BU/hhCuP/R9dt+ckrlC2mxfOAgAUvMLeTt864zcJ4rGpz2/lp/YBAERdwBGb25LWB7zG5JaELe22TfSN6vVG/u1SL4/3La30uzb7+cccFEJzx2A3R91ajO793ZjPlO1Tf+4BP9expnJiH9V+/tSnAPw0mtvmp/F17TWcSOLbC+n7lDfzWlZrbOQvLeHEFdFr2aPrNboobTKXIflHBpV3uHbbBcoWtoe9490Nf36WahcOpes6VIvymh7u9/u/qtkoaZhP02GUe3nDfp3PbrwP/72PSnzFa+GiJjruio+5jE7BGxRh8x7jOfNQ2HvRdV8zkCNZ48OpHEa4liDq4UwaT8299YRJDuNf7gvzWm/x8/eO1hQgDlug//+OclLYvPIJrz+5XRBpsCJtE4epdvEl1Jf3D/hQ2cx13pwbAOCLJuq/f+9gtcbOLzlZU8aXdF27yjny4wun+WH/QI76+mdStroPBj+nbHuMcgn3lExTtk1zKAKfPpeThnkb+L2tTOUYI+o38RHNSuuKVwtd7/NSBP2d+kJle7mYS2Hs207qEUc9j1dPEl0jd47lslETwmiueb56uLItfJoiZn0/3Mmv7YJ5QCJngiAIgiAIgiAIFkAezgRBEARBEARBECxAUMsaW4eyxGVkIW3ey3exTME3hjZH7nSz3MkbRqHl1ngOedrjWIbjqyDpg6ZswOUTAze1DgtZDQB4ctzJypb0InWnvyX4ZI1FV2QDALZc8piymWHhbR6Wx1yz7nIAQO/7tOf6pUsBAAcK5JoSqpwRLMPJcFDoedlmlgL1+7rzNX+sjD2CpU21J5AcZ/jpLBtrL5GFSYufx9wPLSzb+b/tvwAAbN/GSQjc5TT+PJEsRZk5jn6bq+M5McFjFTRmv3mJQ/NpL5CUz9OsJWM5BuhJFUr7kwTjgphtymYmAtH75ZqdpwMA1r/MkoWCBSTR8O9iqZ63ne+2eyL36YOpJJ97qoLlNr0Nxalv7cbD/CYWxdig7unNdQgrJ1G/vJP/qnZgJP4XU8K0Q5NsNBrJZz5v4L6vagscz7mhLCU1ZVR6rUSzntzqVv6Nbt85nWzf5SlbXt0KWI2ai0jWMusvnyjb+LDAbBBmcpWrY3hMXhZNMpk6TQpq1vDzDeL3WDWBZY2VXuq3oSHcp5nGhvfbs7lW0S0pvwYAhGpJCYJZigsAjkSSH+2YzMmR7k5/B8BPEyqZmMk7dG7ay1LmT4p53DYaSS1iU1gWPu+4ZwAAWzw8Vi//8goAQP9/c3IBTzFLmqyGvv5Unkhr8YwRvNb+9Dok2luTljbTfc3HdQOUbUMdvZ9Tu2G6qdd81c4zkin8t47X+TkvjgcA9Htnt7Idawl9l2NccyWn8HX72BiSF+p1Y83aru/WDVa2x+edBgDo+yInCcpctyTgvX9yl2lc17ZC3joyJImk4itauZbfzT9SPb7E1/m6SPuAajFaXZJrot8jmPUdjw8J3O9gShkB4LodZwEANr/HCW7SP+P+jdu8CgDg0+4RzHl96wg+X7WX+u3V1ycqW9arawEAnk4kGzwYEjkTBEEQBEEQBEGwAEEZOTPTwe7vE6JsFydSumDdU/bOcNqUvWVwgrJF2enJON1IMQ4AKQ7uBrOquJ5C2kT31t9SQt6NqMW8OdbfGmRpYDWPqv24wAr19X7y8Fy2/lJli3jUqJa+tOMbeJsLKU3u0Fiucm9WtI//rp0MD90Mm5u9Z3XpNK7uyvhIOyLQc1lleH0u3362su16LUe1Uz6nyFB+8SplM9MQV1/C3rOGMXSNLG7KVrYPFtBG2H7vFCvbsY6YmVSfzB7WUy4mj56eGnevkQjlvnKOWK95mzaYp7+zVdn0pB//iyOfIzHeePYWhtjIF7mllqNK7prg8CZ2FN/JQwEA287nMXnT8HkAgAynlmCpnZIZ/9pDEcqlSzgJUsZC6rOI1fwbefbyxnJ7BM3HX045Udk+vJaSztydxRut5zfQb/jQN5OVrc8c8gb3W8WRU28Le52PJc6cbNWuzyAf57Wx27Qj6DrXN/qvM5IpvbB/jLKtqKBU0DVNHPVJjaLIzaSUDco2M4qv8zGhpk+Vf68nqmmOfXY7v3fSVkpi4w3yaJmOP8PwYo/g9WpcWKXR4rXYTBKkJz365mVSCqR/yGM1o1hLfGP007b7OCW2l7Jk4x9F05Wt4H6agzxFOzr5LY4u9sR41TYqAOGWpEXaETSO9LH6QQMlo/nDtzOVrdcHtFZHf8NJo8x5tmUqRyOfvYOVNidHU/Kke97ldazvm8UADl0yojvQmsTrR46LIjVtfr7Wr9h8EQCg+v10Zev3Ho0rz+4DlGpp53p25NG6uW8M/4bXpSwEADxXOVbZoj+k3zr8nW/57TrwPazEzktYMbfk2sByT/uMFPn/KJukbBV3U/+kzeMIZHuVLvQoc9kYOuLi2O+VbfamiwEA2W/y2O3qiJn6LD/LuwqCIAiCIAiCIAiHhTycCYIgCIIgCIIgWIDglDXGkrSuYgzLDH8ZHShj6ueKMP5lyda6Vgq5v69twCxpiVXtFh+F7m9MXqhs8XZ6hn20imtWbLx/IAAg7TOWngSzfKShhkLtem2Ita0kiQt7gOvtuD7tmJxRDw9XDKb36R/OoeBLN1J4OPUzrofWvQRkAIy6ML6cXspUM5RkYol2d8DhphQHAEYtvgYAkPkEX6LJS1kW2l5yC3s4Sciq89l2YQLJF5Y09lW2yJ1GUggryUoMiW1TAkttc0ON2kHamHy2egQAYP7bLD3Keo/kH56DSBl1PPFaPblkliSYtfeKVmoSkx/p+g6+FD8amnx510S6zm+f+LayXRpdAQDY7WGp97vGpv8HlrE0JOcF6p/cRUsDTnGga9dXRxK90uksR/xX748BAHNqeT597S2qS1f4llZrZwslebLSvGrWg1z/V95kXzTFTKLEUnhTAv//KoYo22sfkcQu5XseTZHraIyH79qubH5DuvnJhPF8jntYantt0hcAgHv2nqZsa1+k3yv1c74GvJt1mWXwYo/i2k37B9HaPzGLE1qYdbf0bQczN59LtnvSlC3lU5oLPQcYT44k6uMRJ2xWtiQHrV1bizgpQL+1wZG4yuaktaM5N1nZ4vuStC6tHQnz87W9le3BVymBQsHbPJ78OyiBR3trT8k4XqceNcYnAPyzZCoAIOtjfo2l1p2fCZuD5oL0zEplcxgCwuO+420iCc/RWpT6BcuWPZ2oMdZQQGN31CCW9ocaMv0P1vAc1G8drXfWmVEPA2MdaxzMslkHjOQo2j3CDTuphlvxI3wjFDUvcM1ql1y+BqJ60dqlR7B2bKdrqX/Tz58ASCJngiAIgiAIgiAIFkAezgRBEARBEARBECxAUMoaKyZT1ro3Jz6sWUmOqIc317SSzOHq9Rcrm+9dkqOkLNSyrWhZl5qnUQj4+Tu5RkKauxoAMOfJCcqW8v5yOp9Fsod1Chs/m8cnUgh3c5tWZ+iyawEAro7WH9PkU55hXE8idTqFgGMd3KctL1B9lNBd1qtb1NUUnc01eZZMvhcAEG5nWcmGVuqX67ddoGzJb5NUx7VsrbL5DpFR0dab5JNtcXwNRNlJRrm5IVXZYre1wXIYUqOQahZc7G0lCdPXzTxNPb9gPACg4K32r9+DYdZHKZrIssbrcxao9hmLabz3e1yT1lUHZjENZloTaGxkuyuUzczSdoNRCwYANr1P12/+J1wLpjO13tpOJRnq+L782r4ukqXcsqe/sqUso3FqdSmeN4vG0KSBGwL+ZkrmAWD2+ksAAL43WY6YO48kR97ycn6/ds5hypP3/47lTX9L4XH6qyLKoNdwB8tvk78iuXmw1Co6HGwpLCFtOpfW4od7sbzezM528+4pylb1QiYAIG4Rry/+Q8hjWwbRa1JDWWK220Pre4KWVdjmIkm6v83a2ZntkTTPbb+Q1/miYW8B+KkE9PU6Gkf/mnemsuW/TDVJPTu4Nml7mFkCPQn8fi6t5tmGCrpeUuq5r4JSUne4GLLGxvdZDjuj8VcAgKybWD7uMbKF+joh3bYP5flz70U0Ti+N5+yj5664is73hhaDWcuyx2DFV8/XYrOxdrX5+d5o9720hSPqvQ5KGQG1BaWhD9+rjUylvpzfwPLIXgsNGWXFfvzcSORMEARBEARBEATBAgRN5EzfFNyYSk+vA12B3oZiD0dnzpl3EwCg3zPsqbBtIq+Yp5GPM5+aAWDvWGpfFPudst24naqqp36peZGDOWJm4mO/bcL/I2/tOZNvVraspRQx66hPxxHDXoeiqVzL45UcqmdU52Obs4ne1e8N6lQLB8eI4nr7sFen0ehMPcL7150zAABVr2UoW/JXhpf9MDYH+yJp83pIMo/tOh95eRf8OEDZCr/bQu/d4Xc+CmhRV5NqD43J2d9epmwF/6YobEc3lZtebgCoH5kFABg1bY2ynRaxSbWfjDiJXtPAEZDugLk5HQBie1Pkwa39+gO+vhwAkDSHa8X0XmSMES3Kc/CT8O/niOcEQiXDqP+fSJuvbMUesjV8yNHctJXGeO/Y2Y4ZTWnUR/Fuvi5Xt9L1PfPba5StzwN0fdvXchTGq685BzvHOLpWZ+UsUrZkrX7nuh+zAQB5n7NnuDtHI2zNHHXJjA1UD3zSQNf12pd4jkv9kCK1h1K2mDVTAaByIM2f6SFVyjZ9Gf2m2Ut47fd6LKg8aAefMY9lZQVew2ZEEAD+8ck5AIB+L1Yr26EiZuocUTQu41M4sdIeD9+rtX5HNdZsm7V6nB165+DGTOqT+jpHsrw/0jg90vp4zjSaNzfezHV+Xx31DABgn5f7PuoNuh8L/ZrXu6C+bzWUXuHJPPfu9tAjzA3X/lbZwj+laPnhjDNHLv02u87iFeg3cesAAP948UJly1pgJAg7ClFziZwJgiAIgiAIgiBYAHk4EwRBEARBEARBsABBI2ssP3+gat/7q2cBAOFaraiVRrj2ohW/UraCh2jTu77JvL1QpzOTN1a3xdGGarPmEQBs3k2bOgvreRM9i9K6B/bvKfyeU8ybrz2HG7pNZ5kS+nDoOdZISnFfyenKFrGTpKZ+n9WFTEeOv4zlB7s8JDXY0sabWjfPow2sWfO41pGng3Iys+4SAOw6hRJo3DnkFWW7dxdtki94jGUn3iqW7VgGY0N07PurlWn7ljwAQEYq99Xh1sixx2g1kvJpuvtz4vfK1uhnyV91KR2bXMpSx+6A38dzWfSTNP5+cdpvlK3vKyS3s/2o1dHr6LVvyBmdmSzJ3TWTa8Xcc+VzAIBFWp295/9OiQfSFmzh81Xw3Gpl7B7qy2/KcpTtg/dOBADkPcrjxltJMriObvR3pnMtxG2TaExeE8fXwiPVhaqd/zRdv91/5iS8pZygp81D/aQnX7nrzfMBALnv8jrvOdgcp0lwvcfxZv+wKXSeIaFcw8i2wqglV7KOX2+hunsHw9wyUNnAkthGH13Xs9ZcoWz9nqekR77VHUv440iIV+2dp9Gac0c+rzlXLmUZev5rVButM7W7ugM/SSi1dPWBDzwU2tab/adkAwBuGf6Bso0MoTH9pzIez7FrjXmi6eCJxIIG414x4x6OKV14+o0AgGxdutnBpEhm4iUA2Hsa3bs+NPYFZevrojXJpk20/qMoC5XImSAIgiAIgiAIggWwfuTM8HI1JbO3y27ErcwU0ABw0QryBPV6gL3s3s2at+sgeBPYu56aSR7P16tHKlvSAop8eEtKD+ujBxNmWuDDjUwAgKNfLgBg6984QrRs7JOq/W49pdstfobT68evXt6pzxlUGBtYfaEcZ601kqL88XX2LuY8Qx53T0Vlx9/aSHTRMpCjFAPOJs/nhDAep2tjaWP397X821g56uvTkyb8QGUEQg9w7MEwEwhVTOMxN2ImedeynOxVv2Hb+aqd/wSd+1Apt4MOLTod+iltzC9cn6Zs3t17AXQuNbjpRS89jSNnv5r9oWqfEkoR25daE5Qtdh0lHvDp0Y0g6fOwhTSG3NUFyhZbYkQHDuP6NXHEUuRh62+ylO3Fsx8FAPx+92Rl23M1969vffeK7B4KPfK7YxVFzq5s4/I4Of+hCGxH1Qb2SC5jsmc0l9W4p+8bAIBQOyf8ML3mviBMEmSz0z1TYwPP/bftGwUASPojH+ddH1gWol2M6E3bQB6rU87/FsBP15yICI7U+IOw36yCWfoFALb8jiP1fz+HxunYME7acmfF8QCAhU+PVrakdd/+3B/xmGBbweM1p4SUQ576+gMdfkDsyawSq8mnCz3bxYl/FjSQWiG6mO+YfB1M6tQVSORMEARBEARBEATBAsjDmSAIgiAIgiAIggWwvqzRkLuEVbC0obgtCQAwuzxP2RJfIHmCY1nH6mnomwF3TI1R7afzXwYAXL9ulrKlfkHh48NOkNGNsTl56LT2ov7LSmJZSY0mpXp48ykA/n979x1YVX3+D/x9780iEzIJM2FkIAKCioO6UQFHkSpDrFJEa7VqraPtz9GqX1urRal1ghYQF8OBgDhAEQRkKAjIhgQCBAIJBAghueP3x3PO5zk2V0SEeG7yfv3j8cng5twz7vk8z+f5ABlrdFLwsZRQRRxrH+SP1r/74a+lnLHVBp1YGjiGcihvgqy3tK+dNsW5OUNKRWM9+t58bp0jMaW7fvS/Ecm8qU0BAGVn6+TgZ1vNAgB8Wq0T2ovma1lo7orF9fTqfj6mfPknrLUT1Vb3Wdn5Um5X21fXSDqtiTa2mVct1+XHv9RmQHkRXNIcrJaSLc8Xy0zs6KafK+e1c++lUjpz71XvmFjHaCkFW1amTUKa79IS0KNtMtJgOO4leX+TxlW1XbTMK7B7U50fORJPay3p3X+KluCl+qQ06uHiK0wsa4lcpyPxfhWyGiPk36kNThacK+VvSUUrwv7MkdjrJZYXaKH5hcnyfpQHtfTrQJF+ngqUHWXJJBn22nvVJ2kpc0InPf8vS5Ay9Lf26+ff16edCwBoN04//7p5+sJPEXI0/Pix03CiWmnzv9V/0Ovr6/2klHy7X4/dZyf3AwC0+0Qb5dRnEyZmzoiIiIiIiFzA/ZkzqyFIwg59Zn1q5YUAgLg5jkYeH8uq4Ee7ArqnrT5BD716ltnuGlN3hCxY7sLW4y5yuJk0Ybm11TwTe2h7H7PdbJRMwPYs1dG6RjX2u0In8GdukVbmIUd726Md4bJH1ADgYC9pmRs3QNtMnxG3DQDwdHkPE/OPkhax0YGG28zGcLTIDlmZxbx2O+p82+8/cLR6nuTISBxlC97Gyq42sLNlAJB3k4yMP9vmAxObdlC//sDMqwEAhX91tJk/oa/SvXzJcu6XjNBlYXpcLdfEbo727X8tlftbaLo2UfGXrquPl+h6gUppMOOdt+wHvrMu+/q55rfNTOybC0aZ7XnVVnOWObkmljNPsryRfL9yVmYkTJHtY8mqlA+R+8oNt88wsZ6xcv288tvrTCz/UccSGcfw7zR60fJ5qrzQ0cil01tme8w+aUb0yst9TazdR9bSHfXYsCKiWM1s/C20aiatvTb/aBctn8du3NTPxLIWy+eBwM/0+Z+ZMyIiIiIiIhfgwxkREREREZELuL+s0W4IMvMrE8pd28b6mq5tEKg+ulXQ7dKGrZdlmFj3+CKzbZc24H0tKQkeZEnJ/3JOymxSKvt+5SEtZ/qqVLdbrZPSu8baUMW5rwJ7yo/wnUfmSdIy3pILZFxleefXTWynVUMy5uuzTaxwlTQCaRT73tEowVMh5U+dm2ojlJKArF/Udrpj3ZKVWoJDR+ZNkbK8PV10P1+WJhPQ36jUyemPz9Nym9zpVmlIReMsDbfXIwSA2q6yHmTcBdo46YmWMwEAT+/R9Ynmj+8OAMgeq/e8hjq5vz55s+Se70vXqQ/RHp/ZvvubXwEAWn+ia3OFjnKaRENlr8MHAOVWNe7QZG3ysaJWSp33zNEmK012b66fF9dABffvBwBEVel1dnlVG7M9ccMpAIC20/XeFli7oZ5eXWQ7nKZTQ67NnWu2x1TINXfX6BwTS10gn/sDP1MDJmbOiIiIiIiIXMD9mTPLd7IP639c61yn3YNl1OGPwyebWPdYzWacu/C3AIDcid/qv3fM/1rjELVKRsrmPHyWiWWU15rtwK5jf78aPUeTC4/V5AIAvM0lW1kV0qPzxnXXAgCaz9DR+tDuY8/URTL/DmmAMuM9PSbfyTgNAFCwabeJBULMSRyt0EGZbO7L1sxC86h9AIA/z7raxApH6THX2Ed0PTHRZnt3Vzl/7+84xcQetJp/fPFadxNrOVOO3aOtBqEf55KOmvnZF9SKgowX5f3xzl1S76/JrTyJiWY7OV/Oa6/jnnTzuN8BAHJfYsOf4y1j8iqzvWCFNvlqbWVyQsUl9f6aIpZ1n4/do9fUfX5dTuvTnXkAgNSF2mDtp1Q5HQ/MnBEREREREbkAH86IiIiIiIhcIGLKGn8K56TW6jRJySd5Nb1511Zd26DZlAQAQPAQS0qOlr32TPzbX4b9eiSvEfOzc05GdZSTnNa2GABwMKhfL/tE1u5rM9uxzoz13jRWbR6eXyfGsptjYx9LqdO1vHbElpsBAK0X6F4Nbd8JEsGDB822xy/nanFNuol9OLcbAKDgLS39tkty6fjyF28FAMyc42i+kpdjtrO2SYMxFjqr4D69f1QekIYq86p1nbim64LW9+2v3xfWCHzn3r14RZ2v83PVj2B9jvKt11LQ958512zHVlqlojvq7uefCzNnRERERERELtAoMmehgI6FBaxB3ySvTmpf8GWB2c6ftVG+r5G30CX38RdtMdsLVkhziwc8l5lYwnZr9Keqqn5fGDUqKRMW6naYrzPzEF7mf6U1/scLNXOTf1DaYQfKdof9GTr+2t+9MGycx21ddlt3AMgZLWP5j717g4mlfiH3JL+/FkRu51zSJW3Mgjpfd9M1gJkzIiIiIiIiF+DDGRERERERkQs0irJGZ2q+5WdSznhLs+Em1nyBTq0MNvIGCuRijuYghfeuAQCUOY7XppA0vZtS80QkQlapfGjZtz/wnUTu4/tUynITHTF/+G8lop+ImTMiIiIiIiIXaBSZMyfv3K8BAB3mhv8625NSJGjsLfKJiIiIGiJmzoiIiIiIiFyAD2dEREREREQu4AmFWMhHRERERET0c2PmjIiIiIiIyAX4cEZEREREROQCfDgjIiIiIiJyAT6cERERERERuQAfzoiIiIiIiFyAD2dEREREREQuwIczIiIiIiIiF+DDGRERERERkQvw4YyIiIiIiMgF+HBGRERERETkAnw4IyIiIiIicgE+nBEREREREbkAH86IiIiIiIhcgA9nRERERERELsCHMyIiIiIiIheIqs9/rLf36lB9/nuR5OPgJM+x/Bz36ffjPj3+uE+PP+7T44/79Pg71n0KcL8eCY/V44/79PjjPj3+jrRPmTkjIiIiIiJyAT6cERERERERuQAfzoiIiIiIiFyAD2dEREREREQuUK8NQYiIiOh/eHReuDc2Vv7bPNPEals0M9u+qlr5eukeE/OX7jzRr5CIKLI5rrOemBiNB6VnSai2pr5f0fdi5oyIiIiIiMgF+HBGRERERETkAixrJCIi+jl4fQCAqMx0E9p/RlsAQOnAwyY2puc4s33/+v4AgIpP2ptYvazoTwAAIABJREFUi7lZsrFolf7uYOC4v1wiIlezShd9TZuakL+TXFP9CfrIE/RpiWPZKdEAgMGDZpvYf2efBwBoP/GQ/ur5y4//6/0ezJwRERERERG5ADNnREREJ5g3Ph4AUNnvZBOrHLIfAPBI56km1j12CgAg29fExIIImu3JnSbI7+ukv/uuq/oAAHbc28XEfIu+BQCEDmsGjr6fJ0o+DoX8/p/5lUQQK/PrS0s1IU9SgtkOxscBAPaerFmM7Fs2AgBK9msMEyVznD51jQkFKiqO/+uNIPb1AgA8bVua7dLzZF95HInxZuvkHI9ZttHEAnv3neBX6CLWcQgAvg45AICtV2aZWMs+xQCANztONLFMnx6nm2sPAACyfNokpHO/EgDAA22vMLHkN84AACROXqz/9gmqUGDmjIiIiIiIyAX4cEZEREREROQCLGskokbFGxen/2OVQADA3i5SZhN9UEvIEleVAQACGzbXy2ujhsVZmlQ6rBsAIH+Ilm491HIaAKBddLSJlVlVMiPLC0zshXnnm+3ETXLbnnjrkyY2vu3nAIChj+t4a/mw1gCAwDotdUIodGx/SKRyljtZpXf+ji1MLBCnH4E81lpH+3JjTSz52m0AgK27tQQv5UMph8r8dJuJ+Yu2HM9X7Wp2+ScABE87CQCwvr8e53deNs1sD0uWYy/eq+VitSE5wA8Etdx2fr68N7f3HmxiBffI++DfUXrcXrtrOdc5PCkfAFDWU9c23NNL19+af+ET8t9qPY6nlXcFAMzd2MHEsifLPk94f6mJNbSSXV+WrAV58PQcE9t6kVwDn+v3son1biJNPQ6F9HqwxX/AbE/eL/tv7NozTKxF00oAwMRTxpjYb+KuAwB4Nuq1ObTU0YTpOGLmjIiIiIiIyAUaR+bMOXqWnAgACLZvZWLbz00x29EHZPQsbUWV/vhXMtLJidXkNt+ZNNyyOQCgvGemiR3KkPGXZutqTSzhq60AGsmIpIMvORkAUHlxoYntvkbP8ymnPwUAeLZMsxQfrpXvTZl3pollviwjkaFaHc1srOxRdF8rHcWt7J5ttvcMOQgAqN2YZGKtZ8mxGDvvWxMLVun70BD48qTN/Y7eOim9/aB1AICnWmvzj3jr3jS8uLeJrXlFjrn0ZftNrNOOErMdsposLB7exsQ6RO8EAGyu1MYMKT5r7LWxZcsAeKIlaxA46yQTK+ot++2kczaY2LM575jt7Cj5bLA7cNDE4jzy/mwP6KT/0Xm9AABvn9zTxDq8aX2GWLxSX0QD2+9RreUz077TtTlFaIRUFszq9KyJZfk087jksFwfNtboUhH/t7wvACB2UaKJPXnLaADAR794xsQu+tsfAAD5v9ut/14DyPzYxyYABE+Tc734Dj1WZp35HAAg26f39oqgtnN/o1KO6deKTzOxAW2+BgDce/aHJjamQI7TmQWaDWr9xCIAkb0fo3Lbmu2tV8mxmN1XM9ev574HAOgco595VtRIZnLwkhEmljVWK2iiDsr53apa90txXznefR30vflzhw8AAPddfoOJtV1+YhoJMXNGRERERETkAnw4IyIiIiIicoEGV9boidWUujdHJkTv65JmYhUF1roc3fea2JenPW22P6iS9PukslP16ytksmDB81pmElyxzto4MWscRCTHpFZfupYx1HaS9HBRX00jBxKl6ULWPP2Z1M8lNe3ftv2EvsxI4px87emkk313niWThSs7asrd21JKw3538kwT+0W8HKcvlZ1rYh8tlXWWct7V0t6Yj6UsIqKPZ8fxF9VWzv01t2u53ZT+owAA3WI/N7GKgJbTzaiyGiiE9Pd8eo6U2bzR9RQTG9tcStDaPrrIxCK5TOSInOd0ZgYAYP1d7U1sWJ/ZAIAk33ITi/UuMdtDkjYBAJZ311KeZ3pdJLGPuplY7nPrAQCBsrLj9tLrm7PcZtMgKWc8//KvTOyezE8AAOVBLbMfvEYaIByaoKWgmVOl3NO5TpHf+T40leYUr954mYn9624puc/6p6Nkat2JmajuVp4eWsJYeraUGfp6a0nc651fBAB0i9Fr6g7H5W51jVwL1tZqKepDqy4HAFRu17Lcp3q/DgC49MpvTGxE1I0AgIK97UzsO41YIpSvU57ZXvdr+Rz1y4sXmtg9GfMAAHuDenzeV6ol4Ese6wEASJy2zMRyDst+c97b1v5GrtMXx2spWtMs6/OWp2HkEOxyxppzdZ3DHv+U68NHzb82scMh+Qz7wC69Pk5c3d1sJ30h5Y4ZX2v57XNDLwQAXNJXz/meSXL8vZ+s5beRzNdUzunigVpWO2DwHADAPWna9KTaajjzxJ7TTWzym/L5J/ftXSYWLFpntu0pS85jMq21HLt/LdHr7AG/vDfJG/VzVyh4YsqXG8ZRT0REREREFOEaTObMmyQjW5WXdjIx343ylPxOp5Em1swr2ZsdAZ1g+Zed55ntGevl5//Z420Te+DS6QCAOzteY2I1T8lTddx0x0rhDWwC8JF4E3R19Yr+MhJU9Ssd6T2n5Saz3TRaRtIfSdbRsySvNFN4sec5JjbtDNmneRM00xlaYk2wbkT7FtBRtuqLuppYyVDNzjx2mozeXhavmYYDIRl1fP+AZjb+sG4gAKBLqmYj3+vzbwDA7e0HmVhVvGSK49/VbFCk7XNfqrYeXvuYNEaYcuYoE+tmZdVX1ei5/7eSy8326qnSwjhtpY7ern9G9sdvm+ko+fiTdUSuQXG2c06UyfqhDtp0Im/MWgDA+ExtotDM2wQAcCikzVFW1mhb+L6rJDO0dXOGiX3SR67Ha66bb2L3+H8DAMh5RpsuBSorj/UvqVd2tca2y3VE95oBMqJ7X5qOiO+0sjR3btT7SPU4aeKTNl2bo9gZM+corjdfz+ktj0g8L11buRd/IVn16O2O9u4NNZsLfOdYPXSFNEbY/xs9XkZ0fB8AcGXiahOrtS5nL1fmmNjjSy4x23lPVgMAvOVaIdOyiRzXrWp3mtjys+Wc+GOaZkUH9JLrxLyFmqVI3lAkGxFYjWAvO7Dmd3pNfeFSaSl+fpNqE/vGOtev+eJmE+v4tLP5lNz7Q859YL133kT9DDF9qFx7X31Ur61Z1nEeyY2XopprFnbn5ZJV7XDDWhN7wsqY7XM0/Hh011kAgIWOfdHxY0fzpP1yfDqvD/k10tp98Na7TKyqrZz/hY87ri0Rdk2wK2AAYONvZPvX/WeZ2B/T5PPhksOOyowdUpmxYWy+ibWdKk2AAmV79Jc7jkk7K1feT5uFVadK7mrJHG2bn7lUKr6avaef+0Mn6Pxm5oyIiIiIiMgF+HBGRERERETkAhFd1min3gGg/FKZuDri/ndNbHiKrOO025F1PH3JtQCAqm80XZ/5ddBsd1hTAQB47Ik+Jvb2yf8FAHRrpmvNzE2REhZtcdE42GtFrXtQy0fv7islJFcl6QTLRI+WNpUEpMzhP2XnmdhHmyRVfOtJ2pzh1ctlfY+hTbREorBK3tfAKi0FaKiiWmlZ1O7zpXQm6lotp5ndabzZTrHWR7ppix6nSz6W96TpOj2eUzbKJPePfqkTim8Z9BkA4LrWOrF7VO5VAIB45+TrUGSU43i7SinChsFNTWzcGbLuTjdHg6Bl1qTfO2+93cRiZ2ppUouglNk516G5ZdJNAIArHZPgU1+zSv5O0ETg+maXx3jbaUOLzVZDi2t/NdvE7k+X9R5rQ3rVm3RASpBH/l1LZJOLtDQxfr9sF1ZVmNiqC2UdvisStBnLyPOta6suc+RqzmPEb62llTNAG0DYE9RX1+r5dMfaXwMADr+lpU4Z0+s2/7B5Hfe31Xckm+0Z3aVUt3WU/u7XM6Rk6rUvdPJ6k21y/4vksjAA3y23tc7nmrO1+cc5f1sAALgzTc/RFGv6wjc1jnP5W7n3h6Zos6r86fqeBXbKNAi9euq/bTfDAYC3Jp8HAIgfqMf5lAVSgpa3WksiQ6Hv/CbX83XINdur/yTn9bgLXjSxs2Pl77m3VNfXev9jKePMf1nvU4ENm/WX2qXxjvew5mKZvnDLM5NMbG9AGgI9/8wv9Ue/+vLY/hAX8GXI8bL9Ki1HvuX38tl0aFKRiQVCcu29Zu3VJlbzhDQHSvx8hYk514G0p5RU9tPGIgeGyPUjM0HLmisnS5OVwL7IKA8P50AXbZQ0tL/ci+5J0zLNEr+cg0M//oOJFY6Ue03aep2iEbDPRedUDcf6xzuGyPXk7GHaWOT2TPn3Ll94i4klT5CS3vooD2XmjIiIiIiIyAUiMnNmtyxeP0LbZN/xy2kANFsGAJ9b81aHL7zVxNr/y5qsutwxoc/xFByKkxG3po/qZMJzr74bAJC0WZ9ls6fIiHswwpom/CjWaJc90gUA226Q/ffi6aNN7Jw4GZndEdB90XOG7vOM+XKYJezU/ZxbKm1gxz6iE6gHdpMRkV+dqq24F7eVRhWx3+rIW6Q1qvgh9vG8eahmzvr1l9Hg36fPNbGygI4CX/bV9QCAlPE6op77sYy02ROGAc2K5AZ1ouvlTaxRJq/ux4KZ0nI6ECGT16Pa5Zjt1TfJPnjsojdN7NRYq51ueUcTm/z4xQCAZrM0W+aczOu1zv3KK7SFsa9ajru35+hxWrBoKwDAHyH7KizHqKGnQJpJrL5d24XPvfSfAIBWUYkmtsV/AADwy2XDTSztX9LWOe1LbXwRrNaGAeYIS9cmP/e/cAMA4KNBOkpZ+boc+6kHdOTXzTwn6bIWUQ9I1mBC+/fqfN/dG3REPGqU7IOEDxaYWLgjyNdMqjpK++uo+4SLnjXbedFynPocWW57NH5Mur6vTbyOa2YEi2qjS35sul6aAvx5yEQTG5i0AwBQG9K//foiaQqwaIHex9u9I8el72td9iHgyEjY7OYAALCvt1R4bO+r9y7PfnnXnv/0IhMreFgaYAV2a+v+SLtP7euuGd0nz5GGU+c4SoOmHpRrwdx/67Ww3WvyOer7Mgn2/cffq4uJDRslGaRrEp3ZYtleNkyvzUUTJEMUMY2BHNn0ms5ynA74rVYeDEuW+4bX8bH7xq3S4r36Kf0sG/+5NLlwZsu+k3k8Q47J6Bv1s+6swtcAAHEePQfW/kmuDw/MGmhigU2yXFGkNKmJ3q/HVauYcgCAF7ovRu0+DwCQ/5Luq8B6K3Mb5m90NlGpGKwZ4D4jZEmIv2Roti3RK8ff2l9oxdJ5OSMAALFrdD+fqH3JzBkREREREZEL8OGMiIiIiIjIBSKmrDGqpaZ9194qkwQ/u+YJE7PLbxYd1jU2bnj/9wCAghd0bYOglfJ0ljLakzcBYOOdUq5yXm9dk2tLkcTSpmvaOnhYJwM3KI70+YFfySTnM/6kJaBvZUqZXZq1vhEAjKqQ0rGXX7/UxArf0fW3wu3zkDWx2zdZG1XcmDwAAPDtIp2YnLdBJmkHIqxE5IfY6/IBwNarpKTr9sFaFjUspQgAsNIxoX3gfG2UkvuS/Ne3UI9T+5i0m7YAwK6BMtE1qr++H969kpLPnqzNMgJrdGK8m9lrShVfrdeDxy56AwAwIFFLiqZXSWnYuAm6jlGbmTLpPPA9527tmdJQpdMfdSL2Q9kfAgAeKe1tYutmyj6N2a5lJZFSJmLvP0+hlsytv06Oly/7/MvEEj1y3M06pOUbN395GwAg769aNhvYIOu/BR1/v7O8J3i67NNNd+jXgwEpaZ41Tcul274mJY4nas2Y421/Bz1/uyfLcZXo1RqwqQel3HP7Qj1O282RcrrvtImwykujWurE950XS0lUrxu1vPv0WL3++azSpd3WfgSAweukIUvSFm3+EaqNrDWNvs+hjplmO6mnXMeuTdplYjsCcj7/qUSboWx9UhpJtX9Hm4TYvq9Nh13ytG2YNhs5e4iU2b2V9YmJra2VsscR02/U32mX3kXwfSplZbnZLq6RpimB0F4Te3bLBQCA9KlrTMyUMzo+NzgbW5VdIMfyybfoNfXXyY7ST8tha43O7VUpjuihOt/nRvY1NXCGNkmLeVDuDXel6vqY0dY1tcOnw0ws7zEpx4tbpeV05vh07FNfoZbnr79KjtPPCiaYWLpPy89t7aLkd9dma6Msr13WGCFilunnkjFFvQAAV56kf/eqvXLdjCnVhlPhphv48uUz/KZr9bP+pf30c+1DmXL/ifXoNbzWaohWEdQy/fhiOc8D9dDsh5kzIiIiIiIiF3B95szOMOy+UNs8z7YyZs7J6s9UyNdHzehrYgVjZJTNTBAEdITbMSF+y290VOLeq94GAPw6WSemB1tKu/ceUTeYWJvF8roiZbLqD7FHuz2ddES911+kle1DjkmSsR7JmI2s0H321ihptJAzbZOJ+Uu1ta49mujL0hHQzbfISEZ1cx3d3fN1DgAg71UdBQms19/ZENhZ2pLrdP8Nul5WvB+eoqNaL+yV/fPsFD2eO07W/RJaLfvlO22yrWO6/Aodwbvwd9J84IEMHUHeHpBz4JJKbT9b8KGMGAUP6mi8Wzgn8dptyztdrksr9E+UUfRnKnTyv53FzXljq/7s7rojts7J/xtvlOP0FStbBug15j8t55nYqYWnAACyZ+s1JFIyPr4WzQEAa27Q7OqSASMBAPFezXg9UiYZ7Q//3cvE2r8ix1LYv9QxyhvqUWC2Y/5PrgOft59sYvutJQiujNVMsP0ehyKkIiHlS70/TFspzQ5uy/jMxIpr5H5kN5QBtDW+t7leB/2Z8j5sOUfvZXcOk3uQs7kV4JiAbrlps7YdrxwrTTPSvtHlTCKluc8PiVuu18XNu2SJkS1+bQDw1WHJTi5coMddx4+s5khhfp/HsbyG89pS9MeuAIBrBswxsbvSJHuZ4tX3J9snWZ5Tu28wsQPxkin9vqx8JHBWTzw/TSoOLhqkbcuHt5aqmfvvHWJi9vEd5UhyHWiv1Uv/uVCWIeoXr9kHW4nVYAgAhq0fLK/h73puRFcurfMzbuSJketmeYFmXd5rLw1r4r11P6NmveuoLFi3qs7vsxtTBbvlmdiaa7VSaeTF0vyjTVTdbNmqGn0jrh4tjexyNzg+l0XYNSF4SI+bmjelYc0Dt55vYm/kSROwm97Qa2HVYdnP23ZrxjCjmVR7vNBRl4Y4r4nz6iBLPzkzYlMOSPb4iZG6TEz6auuzcD1kyJk5IyIiIiIicgE+nBEREREREbmAK8savVaJAABU9pEypimP1m3+4UzhvjSuHwAg72XHZNU9OsHVZpcx7LvmVBPr2V8nbQ611qKI9kSbWJWVCvZ5NeUZCkRWeviH2BP3rxr9sYnZZXb2RFYA6PjZDQCAdk/r35+xWtbl8DvW13Ky9/n6u7Rk8omrZO2IXnFa/njblssBAPvGNj+2PyICBHOsv+0cLVG0V7xfVaMlnk99KmV5hS+XmJi/WEv0DEd57uE+UoqWOlzLgOyS1HhHs4Jcj7x30SmRUYLjc6xztH64lBO8mzPdxHYGZL89s+gCEyucKGsfhdtnzlIm5+T/B3tIKYqzXKQqKGWjfys73cQSt8t1IOTX8p1IEWoiJV2hVC2HjfXI/lhQreVeb35yNgCg41t6bQw7Bdo6/kJnnmxCO+/R42qWVc6Y7kswsTTrOnpJ29UmtjrGKi91YVltOIEdWnKYPUOOzxuzh5rYi/lSepQ/bLuJvftLaYCSF68/m+qT0q4rE/U4TXE0Wwrnoyq5N22eqKXR2R9ImW9g956wPxPJAmXazChtnpR7/+MkbdBzbbqU26YW6N9eer2UKCbs0vtU3B45Xw821/tZwR1aVvZo1tMAgPxoPdITrfdiX1A/a7y8V64Zy+Zp2Vn7w7p2WsRylLzljZKpICNWaen7wPuk3Hv8wP+YWJynbtOZwhgd8491fI6y2Y1shq7R8yXuz3J98C6NjFJGp+ABOYfTVuox8sweKQf/S4auafjNAblO1Cbo/vHkt5NYpl4f93aQ43P/BXotfLOn7vPTY+vuU9uA8XeZ7favSDmjf0fp93276znL3JuNl88y69Z2NrHHn5X72Mu52kyt2ipNrNbTEy2i5N4W7ngEtCHNW/u1MdOY+64CAGTOXmliwXosC2XmjIiIiIiIyAVcmTlzZqWqm8mE06qQTqy2J+39e5eOlDdfIKMWgQrnqvMiKlszMVuHyEhF7yHaIOHBrC/Mtt3woiKgE46vWScrrKf/WzN6bmyc8FOUF8jffW78ehOL9sjf+1CZZhfaPyXvTWipThQON5rgbKe97Q7JUv6jv7ZA7Re/z/o3dMRoXI6MzF2eMEJ/j8caPwg1jEylb4dkcw8UtzaxklPk2F1a3cHEEjdLRiJQugvh2M1Vtg3Sn7n4ehml+0uGHs/xXnkPncfz4PVXAwBajHdMTHbx8RxMcmQSwszD/bYmDQAQV6x/T6hkR53vs5uxbBmuGYfHho8121ckVP3vj+CdgzKSNm3SWSaWM9cakYzAttmhIsnEJi7rZmITT5cR3WiPnmO+Q3K99WakOX5Y/l5vsraRLxkk2fCLf60jxHekzzXbdotnOwMJAC/slcYNM6ecYWKtD2jb+EjgXBYkZZY04Qhu1hbiAy6Vyfi3DNIM7z+zPwPw3dHbaI+d+T5ytmyXo23+zZ/fAQAomOtonBSmSqQhynxbKmPW7NRM7X23SkOQ+zpqIx/cWfdn47xyDPaK0/2W6NFssc9RIfK/Bq77ldkufVcaDnSYodeYQFXda0cks7Mtae/p3/V6jDQJeaXfmSbWKVO+b1QbzVzEeuo2qnAu+/C74isAALWjs/RnvlpU52cihn1dXKKVADPHyf1i1yC9Vj7S4gMAwFf/72sTW10t14wOsVpB1DxKli84NVavx9+X8bGdt1IaYrSepQ00vtOUrSGwK9iW62fUhY9IRUv3y3RZlsJ2Uq3wstWUBQi//5z3pAn7cwAA/x6rjUVaf2ItffIzfTZi5oyIiIiIiMgF+HBGRERERETkAu4sa3RMAsx6V9beGNh3uIm92OVVAEDnBJ1s/fFAWWsmqq9O3K9tKmnQFrm6vtHD7aURxcVNtAwkPswE7Id2nuv4HyntiZoXeZNVj1bWh9JE4p07TjGxvDRJ039QoutmZWyVMruwq7CfpOtMrb5d11H627mSXr4iQctJ7HKeHY61Tq5adT0AIHWLvl+Rti7HD/FvlzKQNh+1MLHr8n8NAHiu4HUTs9c+m95bS0rTmmiJSX6SlCw81ux9E7MnYsd6tPzWNqLoCrMdeEhKImPnRUgp2VpdpzBzhpTjPd1Vy/LOT5QS24yztMxo44NyHNdma+lCflvZ9+NynzaxHrF1S5mcJTj/t0ImredM1N8dyROsg1b5VcvZe03skVYy8fmuS7UE7/FBco1deaU2Y0n0SclMuxgttT05ZgoAnXANhC9renyPXlemvijX1pypxSbmd67XF2FMSaGjpD53j5Qtj9uh6xSOPE3Wg/Q00Wva671GAwDOiKu7jplzzZ3brWZJAND6PWtMdb3uv/pYd8cNAhVyD2ny4TITq02QRkgPXK3XuMvbyyT+/il6z+5hHaLRniOXkDoN2SxrKh18Rs+DFp9KE5HA3rpTKBoa5zqumZPk7w4t0fLdtRfIPf/b23S9yOwoPb7tcvq7SvqY2Kb/SqeGzA+1GUugARy/zs+tLcfK37br3WYm1u/KewEAZw/9SmPN5DjeG9DpHR2jZZpDrGPKRzhPV+SY7X3vyueJ7OUNa5+GE3SUECfNks+oBRv189SmATny37b6OSjbetIJV8oIAE9MvRIAkPemY13Un3mqBzNnRERERERELsCHMyIiIiIiIhdwZVmjU2CnlNCkjtLudkMvuh0AcPYFuv7AyEtkXZmcKF3rJMUraxek+nyOmF3SEL4z08QDkp7/9M3TTKzF/C+P9eVHDH/JNgDAm2MvNLFet8naObO7vmpil40fBACI9WmZR0W17NMzsjaZ2L/S55jtwhg7vVy3dKfXnN+b7fbPB63XsqnO9zUYVplmk1krTMizVjoCDhqka5TcO1TWh/q485sm5vNox9Ioa1/6HN3GwhlZLt1JN0/QDoXpX1idsSKk7CFYrR2oms2WY2NSlnZqnX6JlH7e10G7tTXtIKUPLaJ07b1UayjKueaWk11GNqFSS0kTp0m3rcDGVWF/JlIFl2m31bx1cn6O2aSlcxcMk262Nzs6L7byScereK/z2lm3hNHphb1SAjVpopaJ50yU64q/oa3J5SjB9hdJeUzmO46ysPnpAIDaDD3+5neX87JHrLNLrpzbUw5qSVTJSD1/E2dIt7dgBJeC/lQhx9+eMkPOzfhduo8+ayUdBT8dpLE3Ov8XANA+Ovwxu8Uqsb97y5UmVvKM/HzKh7reX0PrzHi07BLHqD3agbCqeVMAQMdoZ4mn7t/3D7YBACybpGtTtRgv5fSBBnz8mpJXR+lrizFyvdu4QI/JB0+Rcu9gtN7ba2+Te//gpG0m5uw2uLBarjMvva4l0zlvrfnuv9tI2Mekr0q7Ch/OlE66Gb5Dju+Ua+68ar32/uttPc87Pin7z7+vEm7BzBkREREREZELuD5zZouarRN7230h2YKNX3Y1sbsulKYVMc11VKtbSxl5+HurqSaWEuZxdJljIud9n10DAOj0RpGJNbSmFEeSPXK+2f7HtAEAgNYTtPHKe53eAAAEHVmXgLX4VDNHYxVfmKYUzgnuAzbIBOG8x3V0I7hyzU967ZHEmQ3CBml4kfOiNkcZvbY/AOCx7nrAxhVqE4fJp4wBAORF180CTa+KM9vPT5O1aTq+vcHEAhF8PNuZ9Oajykws6h3J4t5923Umlttd1vOqqtURx5cKJLueXjeBCwDY4pdrx6jPLzaxwg+kIVFDnVwN6ATr7AmaHVy0TSoHPuqoa5Gl95br6bj810ysTVTdLMTUg3ruPzlDsnF5k7WJSKChZczCsc4x5/pj3oOynw910vtWn0Sp/ogOc718fO0DWW1+AAAMaElEQVQlZjt9q97XQg0443AsgvslO+77VBstpLfLAQAU99frY02o7s1/dY3u1yHLbwQANH1eM0MpX8g5EWyk2bJwDnfQ9clyTpXrrPM6sPSwHp8PLZDsRP4czeg01uPXrJe1SKtm0hdb60k6mqmV3JQKAAiESvSHNbGG/5RKdVPqWr2PN5Z1Dr9PZbdMs31Rd7mmOj8b2etEPrpxqIm1mKtrVdqNhtyEmTMiIiIiIiIX4MMZERERERGRC0RMWaOTvZ5E/MzlJlb4VYZ8LVFL61ZfUgAA+Op3up5TbrRM+NvlWMvoDxuG6O+5dx0AwN/IJlaGE9hQBADYfKdO5u1+jZTkhJrWmtjb5z4HAEiPDf+sfzgk3/vgLm2yUvZsLgAgcVXDb7ZytAJlWqqXOEm2k97RU7RsuO6/9Z1lAmxetJZHrqqREtHbPrnJxAoekYnsgZ95zY7jzlFm6C+W5gt5j2vpUXV3Ob7iD2vpx+zn5HpwUoxjfSiHlyukiUDhX7Q5gxvLHU4U52Ty+HfkvExqqusXrc6R0pvyDloq2sY6PO1J6gBw96TrzXb+aCmJDmzVye2NltWYquwUvU42D1Nia69fFJqhk9x9m9aZ7cgtSj7BvLozt/eVdY9GdhltYtqYSj1ZqiXMvvelAUvsJ4tNLOj31/mZxsqXIZ+xinprE6pXct8DAKyu0fvQNfNuNdsdXraO1m/0mkoO1n2s9JxUE8qLkzU1nY2XnKXiiz4vBAB0/NKxJtcJfZHu5cuScsbt52vs0fQFAL67XultxbIGYu1YLclNnK9Nsdx4TWXmjIiIiIiIyAUiMnNmc67I7t8qkyejctqY2MGWMirxy4S9jp+S59FNtdo0YdenuuJ9q73hR9UbJWtSu2ehLlmQv05a59Z0bmtiS3vKdrfYUhOzs2UA8O8KyVjMeVKbC6TOlFGLhtxo4Xjw5rc323t76ehkv3jZrg3pmM/Y8rMAAJlf6AhysKFlzI7A2Wgi+iPZDv7iFBNrEX3kLNhrCyVzVuBffQJeXWQ6+AudqH5VT6lA6BZbd/mGh4u1DX/Lz3Uc11+0RTYa63nuWP7CmyWZh/xemzVmff2Lam2W9Pzb0iyp/Sc7TSxQ7ryHkZMn2sowdNYW5dF9pPKgV5xe/2pDcl28f1cPE1v6Whez3fJjyUT4mS0Lq7qrfLZqf5Z+Rjo9Vs7r27bpEjwt3tGMj2+hNHILcZ+G5bMqE/Z21c9LbaKkucfqGv18e+f835jt/AlyH7OXP2rMDpyZAwC48RefmdiZcbLf/rWnu4ntfFw+RzWdFTlLYjBzRkRERERE5AJ8OCMiIiIiInKBiC5rDCeYomsbxLW3Vg/36DPoFr+sJTV0we9NLH9ckdn222UojbUMJxznulgBKb/ZeaqWhV6euNHa0n2/qVbT9M99LiUP+ZO/1l/jKEmlMKzjsKptsgn1bKdrldnljP+tbG1i09+WsrycGbpenBsnutan3V21QVCS91Cdr99TqmWPuZNlb4UO1f2+xsYbJ+d36elaIntBil2KrCV4D5VJg6CyV7XMOeNLx/HXyK+jnihtnrK3h0xG/3vrF00s0SMloqO29zaxlnNkHajg5i36iyJ4bcITzdtWpiVsvlKb18zo/E9rS0vsntgja6F++f+0sVKLxdqowt/I14r6IbVJ8nGxS7KuWWhPX5i1vsDE8tZqCW6A5YxHVNu1HQDg5AJt7tElRs71Z/eebGJJX+vnreC3ViO8Rn5tBYA9hXJMDk7RdZC9kHv+6AXnmFjhAmu9UpeXMjoxc0ZEREREROQCDSZz5k2QrE1FZx09e7370wCAqqA+gz6y4xIAQP79Okrm375DfxFHI44sQ1q+1px2wIQyfbLvS/wau3ntdWa7/SQZPQsxW3bUoprLKPvmXnqKTmj9vtn+ukZG3P8xWxsxFDwrjSwaU/v37+NrJm2x93bRDG7rKGkV/9mhRBP7eOyZZjt7/jIAbJ8NAIEeMhJ+WV9d6uL8OKlEGFupTZdm/+NsAED6dG0aFNi/vz5eYkQIBTTjVVEgWcjmPm1S4bcyO0s2auYxv0xGd3kcHp3qdrLkQOKpu00sN1rO8c8O6b1/3PsXAAByZi4ysQAzkkct6pBkzH3QzPnKGskMp83UzE5oIxsqHa2D2XIfz4jSz0bRHrlOFB9KN7H4XbrPG30W3dFkKWSd3vb5DgDrauX62nS5Vi04m4VFCmbOiIiIiIiIXIAPZ0RERERERC7QcMoak5MAALtO11iXGEm1O9eCmr1AJlnm712r38hSxiPyJiWZ7V3nyorso3q8ojFrJfbfbrpaf2aUpuSjF6wAAEcxBP2QQEvZf7GF+0ysVZSm7l/bJ2v6pC3V8RWWM6pAvjRKaddO14pqFy1lDv8sPdvEmm7QssdgBE0WPtF2nBkPAPh76kITi/XI7eKxpX1MrGCRrG3oZyljeI4SJJ/VZ6Y8oCVgPkgwdpPGvHvkmOX18ugEYuUamBav5aL7grJfXy3TRiupK637fGMvCztGMTMXAwA+zdVS8Kib5Ch1HNKAl2P+R6tJmdx/1uzJNLGKNrKG6ep9WSbW7CNtXNPYj16vY53NhB1yTjvLl9/YcxEAIGv0EhOLxE/4PIuIiIiIiIhcoMFkzkIHZdQ7qkonC9oZsy1+bY2dvN56Hg1xXPKoWa2KAaDiXBnVubCJZhmmHswGAGz6JNfE2szS1qZBNgL50Ty1cuwePqyTWu3RYACYu6cDAKDZamZ7wqlJkUYLSdE1db5WtD/VbEdVNfZxyO9hXUZTvbr/tgVkO26VLk8Qqiiqz1cV0VKK5FibVKGt3E9L3AwASCjRsd1gBE5e/zk12S4Zs6Ldel7PaS1NQuZ80dnEOkySkfRIHEV3k4wXtaHKyqktAACZ1VqJFOBSJEctbo00o/NO1YZAA5sMAQB0T9X2+t8UdDHb3vnWUgWNNAMcrK4225kfFgMARuTfbGI9f2E1pOmmywxh8Yp6eW3HEzNnRERERERELsCHMyIiIiIiIhdoMGWN9to6zb7V2H8rJa2Z4NWyupQimYAZPKSpUTqyYLyW1iUnSclC0DFdfda+TgCA1DWaZueaZj+Nd7c0AolenmNiL5ykpQ1F5VLC02bDdhNrnEUO4cXukfN74+40EyvPlWOyeIfGCr7aYLa5/1TKJtkbiw9rSXNtSG4XOeOLTMzPJjRHLWGyrBk3L14bKnx2tZQn16RpOb43XY7PYMm2enx1kSu0dBUAIGu8dgO7zzMAABB0fMLxts8BAATW6jlPx8BRTufftv0I30g/xN5/GW9pQ6WQdc9flnSKicUsX2e2g420nDEce/+1u0+PwwprjVjP/k0mFomlzMycERERERERuUCDyZzZ7fCbvrrAhMbWXAEA2HGRjjS0bCLPo94m2vs1wCzPEXlqNUtWXSNZtJ0B3WcfrDwJAFA4d7OJcWznp7FHhHJe1RH1iVaLWAAIWSPtnsQD+kNl9fPaIoG3WNqRx33YwcRuzegPAMjK0OUJQm1a6A+trKyfFxcBEt+Thj5/z7rWxE69fjkAoKqz7rOY7TKhncuRHL2m4/UehfH2ho6M++v11TQccdO0UUWbaXW/HvD66vHVEB29oHMpEqt5hfPDOdvXHT1/6c4f/qYIwMwZERERERGRC/DhjIiIiIiIyAUaTlljGElvLbT+W/drLLv7Eb7VCdSpk2SS6vDUwfr1kFViFxcLOr78jqYA6S/VbRDAEqjwAmVS45n1ppbflm/NBwBENdExKc+W1fX7wiJEyC9HVuZz801sy3Py3xgs+TleEtFPw0YKRBQhmDkjIiIiIiJygQadOaPjw9kWP/kDaVscWt/GxPK9Vnv98r31+8KIfkCgUpt8xH6wuO7X6/PFEBEREf0AZs6IiIiIiIhcgA9nRERERERELuAJcX0aIiIiIiKinx0zZ0RERERERC7AhzMiIiIiIiIX4MMZERERERGRC/DhjIiIiIiIyAX4cEZEREREROQCfDgjIiIiIiJyAT6cERERERERuQAfzoiIiIiIiFyAD2dEREREREQuwIczIiIiIiIiF+DDGRERERERkQvw4YyIiIiIiMgF+HBGRERERETkAnw4IyIiIiIicgE+nBEREREREbkAH86IiIiIiIhcgA9nRERERERELsCHMyIiIiIiIhfgwxkREREREZEL8OGMiIiIiIjIBfhwRkRERERE5AJ8OCMiIiIiInIBPpwRERERERG5wP8HHZQf/o8ME9IAAAAASUVORK5CYII=\n"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"** 1.\nLet's see whether one, two, or three pairs is best. We are not doing four pairs since the image will be reduced too small before then. The input image is 28x28. After one pair, it's 14x14. After two, it's 7x7. After three it's 4x4 (or 3x3 if we don't use padding='same'). It doesn't make sense to do a fourth convolution. **"},{"metadata":{"trusted":true},"cell_type":"code","source":"nets = 3\nmodel = [0] *nets\n\nfor j in range(3):\n    model[j] = Sequential()\n    model[j].add(Conv2D(24,kernel_size=5,padding='same',activation='relu',\n            input_shape=(28,28,1)))\n    model[j].add(MaxPool2D())\n    if j>0:\n        model[j].add(Conv2D(48,kernel_size=5,padding='same',activation='relu'))\n        model[j].add(MaxPool2D())\n    if j>1:\n        model[j].add(Conv2D(64,kernel_size=5,padding='same',activation='relu'))\n        model[j].add(MaxPool2D(padding='same'))\n    model[j].add(Flatten())\n    model[j].add(Dense(256, activation='relu'))\n    model[j].add(Dense(10, activation='softmax'))\n    model[j].compile(optimizer=\"adam\", loss=\"categorical_crossentropy\", metrics=[\"accuracy\"])","execution_count":45,"outputs":[{"output_type":"stream","text":"WARNING:tensorflow:From /opt/conda/lib/python3.6/site-packages/tensorflow/python/framework/op_def_library.py:263: colocate_with (from tensorflow.python.framework.ops) is deprecated and will be removed in a future version.\nInstructions for updating:\nColocations handled automatically by placer.\n","name":"stdout"}]},{"metadata":{"trusted":true},"cell_type":"code","source":"# Validation Set\nX_train2, X_val2, Y_train2, Y_val2 = train_test_split(X_train, Y_train, test_size = 0.333)\n","execution_count":47,"outputs":[]},{"metadata":{"trusted":true},"cell_type":"code","source":"# Train Networks\nhistory = [0] * nets\nnames = [\"(C-P)x1\",\"(C-P)x2\",\"(C-P)x3\"]\n","execution_count":null,"outputs":[]}],"metadata":{"kernelspec":{"display_name":"Python 3","language":"python","name":"python3"},"language_info":{"name":"python","version":"3.6.4","mimetype":"text/x-python","codemirror_mode":{"name":"ipython","version":3},"pygments_lexer":"ipython3","nbconvert_exporter":"python","file_extension":".py"}},"nbformat":4,"nbformat_minor":1}