{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "04_mode_collapse_expts_gan.ipynb", "version": "0.3.2", "provenance": [], "collapsed_sections": [] }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" }, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" } }, "cells": [ { "cell_type": "code", "metadata": { "id": "BErJOAZp_gnL", "colab_type": "code", "colab": {} }, "source": [ "# simple generative adversarial network\n", "# this version uses a very simple neural network\n", "# aim is to see the adversarial concept working" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "XOmxbLnV_gnR", "colab_type": "code", "colab": {} }, "source": [ "# conventional PyTorch imports\n", "import torch\n", "import torch.nn as nn\n", "#import torch.nn.functional as F" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "_nIZrnU5_gnV", "colab_type": "code", "colab": {} }, "source": [ "import random\n", "import pandas" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "PYEkM11E_gnY", "colab_type": "code", "colab": {} }, "source": [ "import numpy\n", "import matplotlib.pyplot as plt" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "SbtfGB_H_gna", "colab_type": "code", "colab": {} }, "source": [ "# function to generate real data\n", "# generates a 2d array with values for a gaussian lump\n", "\n", "def generate_real(x, y, s, h):\n", " # x, y is the location of a lump\n", " # s is the spread\n", " # h is the amplitude\n", " xvalues, yvalues = numpy.meshgrid(numpy.linspace(-10,10,100), numpy.linspace(-10,10,100))\n", " \n", " # lump\n", " d = numpy.sqrt(numpy.square(xvalues - x) + numpy.square(yvalues - y))\n", " g = h * numpy.exp(-( (d)**2 / ( 2.0 * s**2 ) ) )\n", " \n", " # return binomial sampling scaled also by the distribution\n", " return torch.FloatTensor(numpy.random.binomial(n=1, p=g) * g)\n" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "4VwzoshB51un", "colab_type": "code", "outputId": "273a1523-aa1b-4c9c-e8e0-ab23ca638170", "colab": { "base_uri": "https://localhost:8080/", "height": 503 } }, "source": [ "# demonstrate generation of real data distribution\n", "d = generate_real(-5, 0, 1, 1)\n", "#d = generate_real(5, 0, 1, 1)\n", "\n", "plt.figure(figsize = (16,8))\n", "plt.imshow(d, interpolation='none', cmap='Blues')\n" ], "execution_count": 5, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": { "tags": [] }, "execution_count": 5 }, { "output_type": "display_data", "data": { "image/png": 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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "Rf_NCO-A_gnc", "colab_type": "code", "colab": {} }, "source": [ "# function to generate uniform random data\n", "\n", "def generate_random(shape):\n", " t = torch.randn(shape)\n", " return t" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "CMB9CawB2OCX", "colab_type": "code", "colab": {} }, "source": [ "# from https://github.com/pytorch/vision/issues/720\n", "\n", "class View(nn.Module):\n", " def __init__(self, shape):\n", " super().__init__()\n", " self.shape = shape\n", "\n", " def forward(self, x):\n", " return x.view(*self.shape)" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "J9tbdRDC_gnk", "colab_type": "code", "colab": {} }, "source": [ "# discriminator class\n", "\n", "class Discriminator(nn.Module):\n", " \n", " def __init__(self):\n", " # initialise parent pytorch class\n", " super().__init__()\n", " \n", " # define neural network layers\n", " self.model = nn.Sequential(\n", " View((1, 10000)),\n", " \n", " nn.Linear(10000, 100),\n", " #nn.Sigmoid(),\n", " nn.LeakyReLU(),\n", " \n", " nn.LayerNorm(100),\n", " \n", " nn.Linear(100, 1),\n", " nn.Sigmoid()\n", " )\n", " \n", " # create error function\n", " self.error_function = torch.nn.BCELoss()\n", "\n", " # create optimiser, using simple stochastic gradient descent\n", " self.optimiser = torch.optim.Adam(self.parameters(), lr=0.0001)\n", " \n", " # counter and accumulator for progress\n", " self.counter = 0;\n", " self.progress = []\n", " pass\n", " \n", " \n", " def forward(self, inputs):\n", " # simply run model\n", " return self.model(inputs)\n", " \n", " \n", " def train(self, inputs, targets):\n", " # calculate the output of the network\n", " outputs = self.forward(inputs)\n", " \n", " # calculate error\n", " loss = self.error_function(outputs, targets)\n", " \n", " # increase counter and accumulate error every 10\n", " self.counter += 1;\n", " if (self.counter % 10 == 0):\n", " self.progress.append(loss.item())\n", " pass\n", " \n", "\n", " # zero gradients, perform a backward pass, and update the weights.\n", " self.optimiser.zero_grad()\n", " loss.backward()\n", " self.optimiser.step()\n", "\n", " pass\n", " \n", " def save(self, path):\n", " torch.save(self.state_dict(), path)\n", " pass\n", " \n", " \n", " def load(self, path):\n", " self.load_state_dict(torch.load(path))\n", " #self.eval()\n", " pass\n", " \n", " \n", " def plot_progress(self):\n", " df = pandas.DataFrame(self.progress, columns=['loss'])\n", " df.plot(ylim=(0, 1.0), figsize=(16,8), alpha=0.1, marker='.', grid=True, yticks=(0, 0.25, 0.5))\n", " pass\n", " \n", " pass" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "kOOCT6jR_gnm", "colab_type": "code", "outputId": "4a972fbc-cb95-4f93-d937-e90b0eebef08", "colab": { "base_uri": "https://localhost:8080/", "height": 51 } }, "source": [ "%%time \n", "\n", "# create Discriminator and test it\n", "\n", "D = Discriminator()\n", "\n", "# train Discriminator\n", "\n", "sign = 1\n", "\n", "for i in range(2000):\n", " \n", " # train discriminator on real data\n", " D.train(generate_real(5 * sign, 0, 1, 1),\n", " torch.FloatTensor([1.0]).view(1,1))\n", "\n", " # train discriminator on false (random) data\n", " D.train(generate_random((100,100)),\n", " torch.FloatTensor([0.0]).view(1,1))\n", " \n", " # flip sign\n", " sign *= -1\n", " pass\n" ], "execution_count": 97, "outputs": [ { "output_type": "stream", "text": [ "CPU times: user 37.9 s, sys: 1.17 s, total: 39.1 s\n", "Wall time: 39.3 s\n" ], "name": "stdout" } ] }, { "cell_type": "code", "metadata": { "id": "Jokrb9ju_gno", "colab_type": "code", "outputId": "33d33d05-232b-4bf3-eac9-3361c6f88b60", "colab": { "base_uri": "https://localhost:8080/", "height": 486 } }, "source": [ "# plot discriminator error\n", "\n", "D.plot_progress()" ], "execution_count": 98, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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5bhzVSQbl64ZwiWznSNEXdBYpYj5byRldOVrnGTIhcF9U6ZzeDFwWqnwQ4wKC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ug6NIe8FWRwfZBmyJz6Y2Hwc0iQt9WWz0/KGHdqzoRmKv8+FAghqJoW94d61GIZA+KcUvVc1bRo\nKMWWuyccOHrjeNJgszby5C7pejPnRF4mjafnfSz3ZCDOfTJlT9qQKM5l06tI1hafPyVihfAsaT4y\n8En3VEiOP/rGrXbzz/z5MDkDToUsr/fXiRjzY5mWVU1DRWbSblSG/bXA9cHiyh31QrLAZo3CP17p\n3B7pLgTx5YbvT+MxtqxYllrete7HAl4wlR2EbbFEoYKH713DPTzcBuVJyFTPdn9durWsW3z6ao9d\nniIlBNc7s22tblrcl90BN8R1QWP8lKcJQCkeqgbbvDDOaD8lFsHWS6BBAtneon5O+E5x8PNdh23f\nDypELnScfBB6XzS1IPqGs/BhFFE8BwehN+cyJ/t3SylSgwbbKVvGaPuKCTOeCO0lMhUWeVjVweTu\nzF4YtVyYjRS0hlrJJYNdjcJAjr6viyI7ADH9JfMW0zJ6jLCBGcU5Bq33f3Z8LzBcN5GqbkFbim2W\nBqYoDGLNk1NKefMxGVvjbIcgTMzqsQz3IqxQNS1AKXZ5gkPdompaOe9xfVrWLT55+YBD1YC2wIfP\nL5BEJrjIEnzwbIdX+wrvXW9nvU+XgVfePGZQmK1HS+mLpSrD2OErVDeFbKasrIV2o3KLtp2PS0n0\n6aJsXArtXxWszdNMxPoOqxbPxtx4ptrUXOsx1QLHRgit1+ne00CdbnoQ0NAe7s5Xlfvm8ffjRe+h\n2n5WW2A+9h1vZiXbZAnuywZX26x3MbLFUgUVG0wtPJ+7tC7/svc8TUAIwX3ZIEsSI4tl1bTIUoKL\nogA9ft5McHjMjveEZ+lpYPk4L3Hex4DReM4w5msXpmIheK+86eZ5oZnWoYZmamvjyQ3YMcDa9DfJ\no74tHVxbtfTNLgBiKglUyRVDrO2LPKyeLKPnOMU/mbjjmCG4e+eEGqPHNrdOVhkSbFxkfaTMkkrk\nh3xCgNYjIEObNEz3juTwMAazubEcrSbvwlQ3nVnxokj7Q0SRSRyLImtwl9M7E0NmFbW11CtCE3TJ\nN3z6u8gSvP9si5QQ7PIM+7oZfSdPE2yztBd2pnbJPVMKzMRwS9w+fGkSrTw2SfFiqngJ7IRhU1ps\nrFpGfLZEprCAq2fdnJhCUROzhpOSzeIdmUy0niF7AwOEnIOLPKzqYOXSacn5so5d6rr9VZrUzgdy\nOvhjBVX3LtQoMVrv3PzSu2SPdE6eJqCE4KFqcVmkKFJ7V+C52+qKfsOPyEHG7sXM0ufRl/LYPffy\ndCjSFEWWoEiTs8OqrM4iS/Dh8wtUTYs8TVBkCWqW8MjCFc9Ws2909dqMmNO6OVefBDLyLA4uV0gx\nEO6v6oDt0zezKWcWPqBWHhV8zOqYwiJyqDKzrIZYP2Zdg2ar+Q3GsMjDqmxe9Zl5DTZ7IvwVYard\ndNWyzrEQr0mLqIMuZi5WQqJBHcbPObqmGtThlmzhZLUKGgcUrqgeur4rsgTvP92iSBM8uyjwUDao\n2nZAB/+2KX2hZwfFsl2GxP4SaVXf13veJlvhIUb27jEoHCK0KLJkEDdqo9wcm/9KUo4/8O5yc3JR\nTHfjpUDFj4N7HOnpO9m8ZmE1uinvczg8K8vzd/277m/z/fQG4xDzg6gfdCt/KcOQJMwN2Oz5UPej\nUkr7up3LCEDHmhCTZ2L25fwZHiyxlJjVVWMFszPk0J1nRjVYKPX5WczqHXlDdzXS2LUBchd5qn2H\nf4bPiBtbk2l1rQalyNMEl5vMKgHNpMqaM6E3ULGcdrxX2sx0kBhT+LlAb/n3U7QcjxJaXo51LDur\n0aASMbYr9jgP4rIM5vsKtohFK4ukIAaHUJVWTlmkrfeYPx6DYly3ZsdmK10egDVxtMgHBHZXS46X\nPz3WtqTwKOsWd5rr28S2ra2ty7SsKlYSqvi3shyVG9rZoIXTiIZGrI0havIpl3ckBJ1Zgywrp8Jf\nMzpUxcaMZhqpc6Ta2GxrW/70PSWHl4V9iYtBROjcyHw3NdkVC6EhKn7mGD2bePKYljMbLGGeMgz2\nd018s2u5prw3hSvlWdHaw9OSRmmIkOP0BnZr7WTushahI8b5lah8jyWw24NU1X0VPEZ4lHWL7315\nh1f3FZ5e5PiRty4XkW0+JFbVGuu7AyW8WnF36/lgKdNA75ZkVsYsgp3KDbFXHMzbwyrBxkSxEVO2\n0Nbb179c4UYH5YbEXM8m4NQlWA1mdQs9/j1Z3t37Y1I3YCzr4DUG6rf9WGHutTQ2QrYudk/ZLs0m\n9PAJ6kafNThQmBkC3iAkXNeuGB4wqnrGvF8SMo/s4btn8wnY1pqRvGpa1G2LTZ6ibrvr2x4bFntY\nrZpzk7aoeVVBlRyE3a332esDPn5x731gfYN1YCr3B5c4WxkpMp2glSut429zYXjhuPBdgF14LbJ6\ntEOFgfuhDtbu7x6VucbMkpkEJVswEgcxqxOTPbyqQfxxUlImgZGCcYKGSz29otfqhn4t8lw7HjVM\nOsay89Z6WAIsLauW5Ro/a1Fu2JfnRZ4mICB4KGuAksmz2zOo8gOE2OMW6QZcHe9avMhT3B1qfPj8\nAoC8wTr+En/rLo8nuNjw12KoB9XmuhJ+Qk0hHJ/FCwQR6u0L8dVq6a6yYKoEl6QOA8FVxjfKeuWK\nDp4OX/B3Kq53a1ouZJaGgVZ4xZuSKVyTHImeDT48Kq4NJknxfKD03rToBKYkZZt9LAWCS5yreWFh\nMLWLZyhlw1i8v7TeANmvQ4Il5vFKhhSQHt9CZ9MjBao3+CFyoDAKV/bJC2l6JARoLK73k9FIiN2V\nhSH38y6WeJ0SWZeYcociS/D25Wb0XDMVQta1yMNq3bYglOJqm6FpaW/S5hcMI1cVoafyNAFJgLt9\nje1V0Qsk62TPDspFdAGbrgsJix0LFtM3cbVWMSyU+2vY+QSYtlGGLmjO2VYnQjTrPDrhZa44eqml\n37Kx4j2rgzUqmvHYX9Aoj0rSyyIFAcH1Lvz2yCgcS0Qylcy0VEuOzfVBo2VpfpNVMZAzLObhWE+6\nZKxW1uXIICFIIGQY476YA/7cBChwnoVa/azLfh/reXVB8q8JSNAES1NhfRTLUWQJLopMaVU9d6JZ\nV8sX6QZcZCnevtqgabusrX3ne8Z7FFmCD5/t8M6TAh8+v4gWgBw07i3CRrAGJh24hlrSKz5v9T4Z\n/JkXGiLGLB7Ku/GWP/TRYeRWqv1tEdzhBNt4NL97Vu3hzJ+c8OyKzvOG4rLIQEGjxv0Mr67hPQDc\nylsvR55gOnRjWS99MK4km34B1R62H8PArwRL7GtTz4cYe5ZYdd22uCsro3nZeW2ofzNFyPm4xPF1\nwbz31Mare5GWVdmF7TiIMavq9/twNwnzFVmCi9buWozHiKXOy2EyneEgGyWbkAitZzGrztSZwXTC\nqtzMdXeHafuAWValUa/ndUfDiPret+7h/Yhqy8daD+YuZI8mTRF+VycQwxnrhFPIq0vy5wn/Q1+R\nJgAhuCtrEOjjfk7rjLxOdbKwfpJKy5sasrVxyeEJZd3iD//iBmlKkKcERZZKn6uaFveHuhvTI0Lw\n2OQwqFOXydsWsd0gpwyRinrjQcCyQ3T5yfV9nplb1i2+/2qP+7IGbRHVGCQi2NVxWO66Z4MxT+y1\nJqpc5GEVkFzY7lCG/Oqazieej8cJ7Xox5aYWZqGb5h1bRM2qq/qeWVaFBjJhWK8kiRXfNt4RVPxA\n5GNU1l027IsixUYh6IWATU/wzyrvgaVh+pY/yC/SQhqBJJt2irzmcmWTLsY8luUwhDt7F/ezxSZL\nUKQp9nXjVI7ZFTbTx4SuCaqhZNn8n10WoBRS6zdz594dc168e70dr+8UfxAN3Uwacf+GXJkRjAaF\ngvTsuf7vMGnOudfSumBC7xQHPlUdS1SwmriPsnm4KzK0lI7mg+l2Ycn+IKkvNob71QIHwBCnMLD1\ntkGH9ZoXHQ+NzGAlTdYks84oy34jZESFxErh2uUxpu5Uw2+0ccpiAyUomwYfv7zH5zcHfPLy4dFm\nw5ZmZY5QT8wtwbRspSuVB3U2iZH05di/7+wFbJmYQ4U87eJ+YlkFeBotcpHMgjmzFKuQH63f92UD\nQiC1fldNl/Nilyeg6NY9YKHKKQ7iDQi+e0xcZe+y+3IpkK3DYs+5DpPMfyreTQf68c7TBISgy0YL\n+bw0Ra83MmGxCO1d+2Fv3dSrsVjLqg4+y+QpU6jps/ZDb0vfUi2brvDRUIXSavqWEttLlkFGp9Vi\nrXlfRNW0oKDYFVn/OZSQHwohafEpa7TvYwkFME//b1qeFUQJyIEHXcj3Vf71B2OfMiZeU/uL66lM\ngI03K7VX1wCL9ocrsgRff7pFlhA82xV4ta/OnuEPtFebLuFI1Sis5GTYVB/jism8VT1T1RSfvtrj\nepvi1X2F620ebBM6u0bCtzzP95cA3S0EweuyeHbp+URUbSmyBB882+HFfYn3n+xGlX1hs/guq5y5\nwHhnNAQlJg1n4UbhsErLaidgG7iyyCwsklijJcPlns7Tb+toY2yIY629o3esrJAB/Zrazq4mClAf\nfxcXgZ/2cxYsZDdZsqJICQu25dsnxoLa4KyfYlp6Rtb1pQwZnz1VZlldCp2zwJA/8jTBTmP9LrIE\n7z/b4t3rDT58fsFdQxSNpAFU9egUMiy510WRgeLkVqlSXjl7IHy1OezRQhzVOfaoTZZ22WgjeKXE\n9WIahh6t5GighjZUjXtsgv04JFYmrXYYFUxYvJtmYaaDf9PR522wBBfhsfTo0niyiPTYgGAoJJ8s\njW4USo0HI0WdpZsXCtLy1kxC6MjVssjT7i6ud45C3BzZsEdjtta+UXgiRtiMzbQJUTWlVB0THqB8\nbd1jDxgQEJsF0+OALOGaB+k1LQvYCdTZzCVulRJyizTVHmjdCQtUjFDOyRrcKRKz1HwMQo6WNORG\nEzK1FqX/0jD0bqDS78fLOH9Y+3ok3nUqQ0EMIfZhI6Hk7SWsez445e7Td+ACjidOWKUbcELMXOV0\nltUlCAoh8Fg2i36ogkjL7v3is/A5ae4tyTSlT1Uuu4tr8mzYOm0fn+iMKZp6hRPkwTkmVco288cx\nXYJD5fkrKmli0+B+fyTHQ671T7CLU1AkJAHfqVOzpKmlfNFTZYQ4mdJHN7rU4JkQEMlmPLfJu+Re\nuzzF9TbHfVmjaeP4RtnMkTMX4kUzxToQcp0xLWqSLMwDBcZ4hca0Y+Fr0cLwWOfo6iyrYmySLuNp\nJUkgk1hmAD5P7W/gfmxW9ONHoI6wEWDP3GHgNnnn1LKdru+BcpWWUadr5pJ4MhQtNi6fS9rUx8Bn\nnXaOW/aIW/EVpiiALhs1OX2ODCJsDFN6t0jbp2k024N4hWlselXkmCYanAKhj2au5ane8u2Wsffz\nNMHlJrIiMcDYhuDVqVgsVigUy0o9lqRQ5cWmfF7yXeh7hWPeUwwYrvcLOlCJmcAXRJoVqPB3TsSY\n3+uzrBK9pqWsW3zy8gF3h04z+SNvXY5egeN2mNF/9sWom6rl8/qyFiChH9G5dXAfjrClsH9VEnPX\n6f3kJY5p330PEYN3dWV4DsnYXasiCaprNEJcr2HztolL/oiHWhCMzYlYQtBU64j54T1cAq6QLlvq\nOvyppXxgaWhQgBy3IxazKrsT9LFqx31h2i+DNWJEgTH06FjOXtjDkRemuYJlOQjtZVbWLaqmPcvt\nwGTMjCTYV413SM0gJE1oQ1m3+MPPbpAnBFmajNY11gdl3eJPPr9FAhiVN0avD1Qzzdjzow9bCETP\nAqe+C5QhFBPTERqrOayKcaiqAamaFnlC8OyyQELI2X1PurtVz5jVkXmDHGQMSVg7A8aObSMwS8Y1\nRsCcQoxplsnBnFg7YwSAzvvCB2vb0zrlnrt3gi0odVeAubJtqOQYJz2Zu6usiaKRoLOsineC1hHu\ns9Epd4eC8un5OWCzfI3HZRmGCk3YWt0dp8p9MIQlVCj9sSde9O4z2h3q/vgHtzhULZ7sMhR5gm3e\n3UveJcMCdtukT4YVyxr+8r7E3aHG21ebs7p4pbtpm6umxe2+xpNdbkS7lVdbgDV4TsMJr7hf3y5/\nGitt96+vWT3W5wZM9BMzTxNkaYKUEGnGU1th5DFiCS23WZR86LVNWNMrRRwm9dkrJodMQ+J0h2VZ\nX3K5KscAACAASURBVI65/dkcvqc8pyvdVxfBtfFhKmRPheEGPlFlTq/GcTkOzfrMuszGeV81AKW4\n2qSgAFw882zbvCT+soUp6fyyf/LWcKjPoq9CJmoccx/l6dIp4EWY3i7At2Gta6/ci86sLVXTomxa\nZCnpD3UM7E7R+0PTy5i2rrUyJZH4/av7Ci8fStQtxd0hTAb/LpEXrMtz8Y7SP6Phb0N20w2lC8cu\n0qvCAWMsHrOVZ1fXWIZd6rAayyoD7yEq6/Qi61wbmPuGqDXSXRsQjMYVMP3yKRRgSTBvJRCHOsTE\nCdF/6rWacv82x1JECtuMfrwCSaYpDqnnXEofLRkhLBN9WegERJfDLnPDK+sWaaInajQ7qYXSagoe\nSQjnYk8IDnWLIk0wed4zaXbdoy1+pRYGBhueEzNYi+EPU23p9gn34tDRly98jrGXmoB3yY0Z08v6\ns7vmDXgoa1wU6eBQx+4UbSnFO1dbAMDHL+5RN62Ra63JUvRQNviDz26QHQl6fpHjPZP7S0fKLbLu\nRgCgo926LzmGOPcCDMuMpuWFngNrlRFE5dyciHEGWt9hlZAjE6sHpMjUCxo5Wlylm3QgGm3hM8m1\nm8VMPOvbjyGtJEzwklQyQsO86GTYcyrG6BrbCHVWhrJusa8718RYAoFP9mObOEuxLtvF0+TxGIIa\nG7/Q12k508O5dtl0oTJWduQ91qcPZYN/8skrPNlmuC8bfP3pVl/f8a+3EjJid/MxVoQQtBRIE+CD\np1s83eUoshR/NHIof8xQWZsGzzBXN6pf5/hl3ybPwCh/jhehKVsdkjKpgjuAq/yU5JZ1i3/2xS1a\nChSOcZY8TEhnB9LX+wofPrvAy4dS+D0FOT53d6ixrxs0LUAIlbjqmqNf/6oaoBRvP9ngs1d7ZJJD\num7/kXtbdS/kaYI8Jc59OHZl5Ni+GDrWNBSWRo8z5j+rRsH63ICPf70ERWI+nnNrKabcxKyEUctY\nCXtaODck6u42bOvGOJZ4yfqwZfe4PywrZN18qFr82Zd3+Pyhxccv7qNlCjSmK2LZa3aDtAU7GNlZ\nuv1633XN5OvdVw0opdjkKSgduuFJ3+0zD6vveI0FF35iltWqodgVGa62OYoscabdJeOoSrH1GIS2\n7mAYuMyZPKZCyiBrHNsu826LY6jo6FoQCllqds1bniYAJXgoa1BQa1fdwfhSrkxC8FA2QELUZR4H\n1G7+0+XugVayOXvFc78SlFmL7ZsRnO5ZfZxYoWUV/QR1HRQC93ta5/QHH9QjECdO2DVuSiHAC63d\n5+57e8uQ/OEQgkN/0O8KdCtDwZuuCaWqpsVD1aKhJ4HAy7qq6evJhL5Iq/bS4kqDg3f1cvRy8B1h\nJqzdlzUIGY+t6usLMC6uYzt0XT8vhBeKCCFoaAvaUlwUqVuFvhAGaW6WZq649rwm4TZyLrxpY+Qm\ndvMV+aNXhiq+NypbeNeFj2PFpvuUylxy7w8VdvnGO27TCZoGMCvsl/cJ3rs2c60d6+c87e7dvdpk\nuC4bZIZt1kVBxIZpHUviSx5zezGFhOwWB5/Eh8b1euQHGMP6DqsgXUwcF99mXYawIzpdXbMUvg7i\nKxugjIA461uPNurcYYzqVj4ncdENFUxOh0NiU9xYQimVS1yeJqCU4qGiVokXQsMmAVSXAXm8zNgL\ndMi1QJcxVPq8ZflTHEjEMaGS79Qvd3/yjOD9p1tssxQtpebCGvyWs6kEFj6ue665Nqa0nfvwKgMV\n/qrAZIQx9MpMsR5L5aYRLMpjfGwyBqOhIQ5KiYHiRRpFM1QKx0SRJXj/2Ra3hxofPB2P2wwNVcgY\n/22eESMrLKCXP/n+zNMEV5sMVRO+j31KHHvX+Hqphcqdc3tTOkPgqaX1ry9W5wYcQpYgGF7I3n8f\nJk/84lHWjdGF1r7wEfxE913noVEIIybXS8gwpUXN/iBCkfAxnhYldALBDs82ZJKYIBlM469lY2fK\nH7zgseTFfE7LLd8vo4mLlGUw/zR12bp6gU5Yu9xkRoe5JY2lcu3ofyeDeVrMdFgFIJU8Z+3LCAKj\nmDxJV7dP221iY7kq3epydbW3jt0XrTN+4+IqE+RHl9yxRGtBITTVpOZQ6/aZ0lZSLgV1U+xb0GgV\nPhJp4VA6RPjKhqyctR5ONdC1KGSGXlOE6OPVWFb5GMnefZK4LX4JCR/PMhdsmYBdaJ0QgrJu8eHz\ni0iUzQsXwUGHWAKc0d7CuXQo6WDtNaxPtrHkaYJNRpCn00qrOvdJF0pCuNTNBdGNOxTfTbnehahL\n5S6pwpigxPrVaL+IJMzxYDJ3mhAkEydVYoe3JR3wAbal68MYer4Y6fheRvCmKdzM0Vl7dfFytol0\nYmNOvtE5nch+cnI5NSzD5OAuc8dUgeB83Ys1T+2VjwbPsLJH5gyvtHOp5w3k4Pu9pRTpDGvD2dU1\nActenWU1ROM7FyzDyWq52IXaPAZxjQFRNS0oBS6O9/pNlazABufKQneBQbTQGr+n0uYJ5frA6q5T\nk4ccXD8GMYm9IGhXRgy82bP8wGvmbftS9rwtS7go/Lvn/Oe6D8zDAOzL5i0BdUNxX9bKcqeag4Nr\nsvosnfaNs71nMjYIp5CmgDdzzBXPFstaFSoGcDI+PdYj84ibA2eu1RrlmjS/hLTQ8/JiWOlD9eDc\nMZ6hOWHtCZZ4SNswpVdgBNZYjWWV4ZRAx6MMQXurCgpek8Bsyhx5moASYF+1uN4kyNMEddvEJc4A\nrm654+VK+CXypPXVxlNYHmR5t01NT3UxnhqrxYL9DaaibOoNX1r2DMMwvCLIb+UTrQmDK4Q0PSw9\nJNv0BcEp2G/BYN4tN/sK+7LFk2Mm4Kkx6oVh2Pdl3eKf/sUNCAF2eeocRtDHWVGNNcty5hlZv0wt\n7lyZ0Q6RXB1JYpfIzSx+36z+0XJmmmNTuqW67IfmORQkh1oIChaclI1SWhSuwd17JtTaQxfnbn11\nzZjMNxGP9YqBpW8cI1DFPvOY23Ltc1/y+g6rCCAoEncNneqtPkRrImY4WQzt3iuyBF9/skWRJnh2\nUaDIEjxU8x9WRYTScqn6STVMp1A7+RM64cd46C2tN1ZdYOGuI2KK1OdjZYd034516AuyBukKXxBc\n5+HYPIoB10zYIqjlidf0TlxGWdW0yBOCJ7scGSH+mbdNaOQGkA6+lzxsOWRV02JfNbjaZr23jmt7\nQimL+HJMsmCKAmuAbpG/rxT03UuPpehloIp/TwlWr69l1eVt1Tuh+kK255lftWdfDzDvHv8G8cBk\nkyVah8u6xZ9+cYsUXeiLrVJzfW7AxP2gxpAEkDZDalZNLWO2kDWxbbt7wK62p8x1cwiWDCbd2Gnc\nzeM+2Dum5ZuVOxRiQubicnHJkmc5VtNldQ+bbxINSV18ic5Wcsf3VHRo61rIoXEOMkIKt9bvCi9b\nGVYDzsmYyNMEyfHuxER3h2JMkHB7WHfNEHB/aEAQN7vxQODWKQ55JYuGicjg3wuZ9BPAOGOr9Lv5\n+imIG7Ah+TaxwiHOBgRDnmY1hLgq7ZRUJ94pxnQ90VHgcvheel6SqWAb7hDDk05XYtW0eH1fgSTE\nKQRxdZbVhBA0Ry71yYg3ql12xFL4ncVElfVQy836Lok4M32LDqoI6A+ZpppKcqQhGAnH8qbhDCM3\nL8VDc4U56Fz7x7rNJEao/7yUyamBLgmLT5k21+EM3rWcP+J7DCauXzLXYRvhKuTw+u4JukQ5mzzB\nh88vtO5QU7nku8w5EeyeybaleNfwnkk5LRSEJAqq1JBmB4+gXDSmx+M9Gb9L12VH9ginvJ0WrF/a\nZYREG8NO2Ub6w7jtwQPH541TsXgsL9qr/xD3QBwD/RrBPq+L/AHY+UivaIkPVQJPSgjuDjWuDLP8\n81jdYRUIcBg6/hVjT5aoWRkX1s/BYqLuyxqgGJjb2wkOqyYwrd513dDFbnQWSDUBVdMlC0kIORO8\nYi9kpyQnQp29m7nCPblvr924niwQtK87dBNdDupG96x6/u6LZcf4ymkziqkKvTQ4dJNL3xIW8OiB\nkFYMHYrMPmZHBhPBUNUt4tc+zc6SBGl2vl7awtgNeITYwbrm0bKgimxifgsBL0BrLVELlFlsYNu/\ncyRYUs0xmZVf9qjUC2rgkivf8/n35lIkx0CIDM3dd+qCXOqYyqAQC/wVXUuTTSg9Xo/4dIssIXjr\ncmO9V6zSDbiHp3bRhKFtq5iL4flamXl9V2RoWzowt7M2T3xbgjXEhdrbNdFwIKumxaev9vjsZo+P\nX9z32S1thtV2oQyx/55irsafM43fWiqkKe8n1PV3yowqSuZTAgSVQlS9Ypv11jrRS69cMX9PWpbf\n6z1c6Qi5nJvGtsYGWwNUWfFnE3giVmfa4/whV/Z9KJgn4rEoM8CzoVwrx7JD28pJjN4pD6vamnz6\nRxmqw/EFPY2BrirrfrSVTbR1y76cPtQm9Hq6tIOeDZgRSurZM0O7xDjsPE1wscmclJrrsaz2E9ef\nNXVJFHioXGmXjjxNkBCC20OFbV4MzO2hLKsmrzsLiG6vDeC66bYtRUoInu4K7KvmPFlIX67kwGR5\nABhPjHFywbS95sZlWVrCEs1rB5eIsm7x6auH49rQ4HKTzX74MIGVO9pM7fG1i568vZc/Ho8NFHrX\nM1OYe9yYVUYxLqB3h3dzUBpO0B7AQtAfvGa1N9gTPkjOJex/sr4t6xZ/9NktQCi2WZcdOg2kHXeM\nZrCGqyurTwZhPktwl6HapX7T5yxd7S2o8VkH5jD2yLzZ1ojOY/D0bxlit9FEfnPONeT22nwYnNQ9\nyxjEB2A4UZgr7ec3h4GFbbRsR5psodIAA525/cPnO7xzvcH7T3eDwxZb7Ke+iN4HPjEQtpvzJk/x\n/CLHvoqfLEQG16aeeNjwQU3d4kZm24dL4Sxp/Jdh/6razO4pvtxkoKBR7inmBewQm7f1+HGPuwlM\n9IwPbdn6FLNq/k6oBEt2Firzp0MnBOHhUiR/VYY3AhUUyutD9AhQzaMpw4B6izWfRCdinSHWEJX1\nTIeqaXFfdmE0FGHvctdevRbpICsrVswtEKRqrkw+qaTKA8IFQUrRFGKy19h6mKhvZjj+Hmjdfwxg\nxrxFxw07krYey+oRBAJzOnCZiWtb1bSgOLrSUtpb2BbNBBy2eYqLIkOWDjuoac8FySVCPIzb0iwe\n3sSELariuoO+OvmJlXBqQa8Im/aePToicU8x/rqrf5Rxt/S8d0NayUKUxbwW7g41rrb2SQLG4CpY\nxo+ljlu+umILt7IJRY5BmEKEQ2jU/laUHVJB4gKeLO+4Yc4rZW5Xcl+ElDmG+2qcBuVpAkKAu0OD\n5xdJkDXypEjV7yFn71nWw5fq0u/iK6oilIkBuXbqWiiTY6zWP0eWGrgqK36f00XLZ466hLwsCT3d\nhh4aU7fTt771HVZDJNHgNjIVOqEUuDvU2AmutFPuWa4CWKKYeJR2bq7DOpaFEAtO//n410Zk0SU/\nsXUZ08HUHV2u2hUe6Tcvx8MOhlrdmJBn71R9cCk/Hn8XWYIPnu9wd6jx1mWB+3LeO4rVB/+45WvB\nzZFutTYjhs9a7ET+0hYyBXRkTuqZMyJ4WsUpI5x1SV8PJ82HK1ZSjz1MD/uqfiU4JfcaKEC0lqyw\nsD3ay54vsgTvP9uhaSneO2aHbgL477KuaFp6poQfPBe4U5TzwFyLNvyo8DoRD8rM+83m/mit5dmo\nhPiI6WHigqX0SxCQ4ToifSSmN4fRM249vj434BBlKKxtPIoswYfPLvDO9QYfPDO/vNaFEaSeNobl\nqIadbZhiQoKWquNVQ9EeGp2W0a6mk0V2QmsLi+MJVp7i+7H3NE9oY2Ee1ao93hxXziiyBLsijRLH\n7qJc0ZYXiP196XF3bzd/MUQcfSiXuzVPpTlkSFcPGhX4PX4p3lDWbbP1JgppgR2pfIy0LElwUbgl\nUpGBz9tgeu6V0RhMiaco17d4KvwNhX5fEULfXKB710Y5qXp/indkhYSW36bG4AYMSSN41/KoUFTh\n26/rO6xG8k+XfbfJuwU312jxlgKRCVWW1ZbS2a+tmRKnRTpMedZuRY5ZD23Buz27Du8SFmldtmJZ\nX4aWQ/k4IeUzEeoVEbp819hPF1aiUPO9sRJOzMZq8M4SLJY6+LjZjmVXtaKDE2pCKEV013Y4l6mg\nyzzmXPhsarE1LC8aXN0zI1YzcM+WxKMr3xskZvJnDpakaaqMwFTx7+D1SBTr4j5o7l48HVRs4DpH\n38AfhPgrDGJgMJccSVulG7DvWSshdoueyVNsYVlKJkpCOkrOLKstBVngqKvvD3Vjbv7wxn8O4oLi\n66Z6/FvWXSKKQ5XhYpMJz3AblW9FHFTaNb6PF2KIGIWTABSgbbpMmKERSmvM4LqJTcUTYjV2h+ww\na69vU1Wem659X9Yt/uTzW2QJQULI4N5sHxpV9M2pyzStesztmJ+j45ag7m/sZo+Ffaj63V2BGcL1\nVu+HrI/JPG+QM29RtQLeFvZXAikUJ5IProdynv/6MgiGf2XvEfm/VbClzrY9U3qyxdiTOkX0SgQg\nBULcFR4KUlnTsazVWFarpsVDGUazbBpIveSAaxOBmRAycJlhCWzEmNXgtHlu+9L3HYsMtXjqsi+7\ngF2B8vnNAR+/HM82bZMl07fFvkKOV5cLVUvjWw2/E4cqmIthmGLkZQvKlWj1aFrB/2ad2ExI/ME2\nThOe8lXQnOp0eFlCQyyY1MC3/1A1eP1QIU3CZlclYkWOCLEkGsd72pbLDuCG42qy508hDoS8kzeG\nO2yMg9EYkoktqzrolOvDz+e0msw7Gwu2K2xkGVNa9KoNVq9/PcN3/DpK5821KtCT0mOuGaLPgeBH\n1QJtbOco6xafvnzAoWpAKfDu9darPNE3Xanp7DWhnDvLaOFepJ0X5yN4kSGD9NfWLMgNONYiIR7e\nlqYt67JNU+yKDKA4v8/VEjyP2iQhOx2OZu4fcm4N9ywuGqZQYvnyq+3bfH9JD/4+xAzqsbVqPB6Y\nDKlM8MrTBCAEd4cGF0XqlF1VVbXse/ckbcsZLb4F03kFeCr5IK7j4WkfdYcOVZ/csOoFJog3U7kB\nnyk73Ro07oIOdDGTXL10qHwzT7DkROIssOnPKdu1oi6UghAYJTSL1c5xw4pbzas4rFZNi22W4Mku\nR9OGudvw7ACjsdac9W1ESdjakqFhuURwB2AaybOMuQs6vIowtcrIMBBYwpAzWo7pwThPExAQPJQV\niou8F0CNEo0Qez5hUMkQU7kBz7ERuPC37o2kV3aFb01o5Q3xpNU65tqzS8RsqDbXVARLJuXYBtPq\nbenMswTvP92iSBM8uyi8XYBZKMBS3KZ5nFwhDeo1sNDw1zm4ltWXaWqdHaXJf+XwiX82gW+xFGH3\nEYoTz9LwV1uf12e4H7L1KWQm/eNZVTu2rtWI7QrNPoScMroraQi0Ypy8D7wLOmG5ovAo+jkCuQx6\nMgass5GrcAPO0wRZ2qU/J0CYDHNkPKucy5DOxQeyahMydJlh2papLKvOtUgOY9YkKxagk+ziaD0I\n5DLS3ee667JNP7WLQauaFvdcshVCTmZJFmAvg+kWMadmUZut2KGsmFjLod527siVGeYUVU0Xi20d\nsuE58EEO+pZu2DY84DOmeZrgYhMuuyoPMUGSq+u3Fw0wq9u0Lt57ytSlcglCnHNXEjv+srovnH+U\nuRrOlDk1TUhUN+ChgltdTwxO6T35xFCKjhjtOyJNsVjZpFjT0Zl/tp2wgKkfDCRR8270ZuoUO+OP\naLEKy2on2F+gatr+wmkcut9cmSwh46v7lIlUZKiaLgNkQoiTkNLFrHIuzMd/sqx6Pljq3JYJrGP3\nTrmW61zWka+KzD69fxfrukeRJngoG3z4/MKqbv7+tuH3VsU4wfcu2CA0BBCvxLjSkBudt5ImAmxI\nOBz587JIcbuvcbHJkKeJPX/R058QFssQ93Ob1jX+rq212te9VN724Kw18T4ZUxk13Z3TRPrvAS0W\nNJR128tJ0vpsR92BSUKH3PDlJRoXx0W4oRuSMDj/HxXgbPhZ81zWGF0fhB4XGb+OJeQaLTNgvhLX\n+tfkSs3AKzh0yo0pEEtmWcVhFegEeybU16HcgLkNSX7I6WB11583ZR2qo9B3tUnx+qFSZ4AccYUa\nxqwyy2ogIqcCte9XKr4UaPJ2lr8wHSiLiR5D1bS4yFM82eW9YNKVcSpTmoAI8i6QxmVHEo5NEHSj\nEMoKxfaiBjwG5twwfTL4lXUDUIrLIkNDKWpBcB6P35pfUjiP/3YoQ+aGZTGops+GSIitcgc0LTvE\niImKLFWZNnX17nCa/YO5LfZXVimeDKnsMCrlSDO1YL+qbvHZ6z1u9zWe7DI8v9g4UuiH3oU/8Fxm\nFl0by2qsNZp3M9fGFku+H08idq7U9W0FY1+r/CtOFY2vG64eHNHKWcCeExKdW/qyQCk9C/GxxSrc\ngEWEcNcxSe88VTZglXC4y1M82xWgkGeAHOuF5Mi0bMFuKR248CwVPHkhLWEAJxR5WUY8CRLKGcSR\njNSTpwl2eYqybkGOn8/K1XCGck9V0BCC9027aywOy6rbI7K4qAGPgtBl+5Rn0ZfZMRnQfVUr+VNZ\njWTe2/Afe99n6IMk99JZeE3eFz737lMBN6JuHwhWHIAwLGtD02h3WLrGLgE+9FZNi7JukaUJ6uaU\n28NFEWG+Zvv1sO3+3jQt7g6VNsRAq0y2qc5JEeTgwUBFGeX4HlvPZPJhADlm6Ziybb3LdVgHnMnA\n80xvZFuIifh8P3OjazWW1dAw4UmXuIxQB8E8TXBZpHioGmuhj4G/l6zTIC//oMrga708ywbsuQL1\n3Tbml6gQkEL1uugSX2RJ7xI/oFNLorvlzASnmMXc2MXZZbwHB3vrt/XQzZP+l2XsBVJQeor9HTgY\nGNAsa7npvpenXTKgXZ7iepvj7lBP1k1Lv34gZj/4LOu+dE2aqdNGeQF2bZKJNcuGBvkmYGyJVjxn\nIyfL9jMmIzyUdZ+0rxSU3CESJ/VljT0TypvpWE7VtPj+qz3uyhpNS/HDb11q95e1HzxsQQgZ1aAO\nEyyNCTP23WeSubj3AvNkRl0tj81aagPR6s/AJyvsvU4CI2a/r/KwGkIkGaR31vQvAaRxn7EhPZRI\noCOHJVJqKUWCzn1mdS7AMBM2ZFi68OpqKeRd4v0L7kAD8XhZt/jk5QOqpkXbUvuYWoQ7eMaaqr4Z\ndk1gW3ZIWs7iZi1GhIIiTxNcbbtY7LvDkLdMrAyA6EpoVn8wPVzUU6X9K3R8m3KC2uU1cEUGiNbl\nVofbkd8N+0X1nGu/miT6ISDI0gTvP93h5UOJd6+2IARnh1VbyA4fcym8q6YFCLArMlDqft2bfQIx\nSRmCuzrVPGuKUy4Eob/7ss0zo88FAnhNZpfmhbhndfB5hQfdXgEw4jo+BfuolVh+G9kq3YBDQHQD\nVg6ixAdfJ7yF5IUiS3BpmAFSGqcouCu2lEqTKy15+XNd/IfutOGC5kMuY7IEXv6JoPQLkkqZSpUf\n7FA1LTZ5gneuN1L39Tk8U0TLYlk7ZqsVyovRFtE1fAlXU9hYKHq6j71kVY+0QM/3LZ9x6W3TsVqI\nV9ZR6OV5TU6Y8d2OfBxcoEYqy5EdHDSHQ9vrLaYK/VHV3WdmFugxRZYS66R9oWHCAzbNYqUVaYru\nurcaIG7eZjaIpuxk5fdjPcyAb5JgSUVbZC/nIFiKeyoP3uK4doyt62vFKg+rIeS3umlxV+pjH4Cj\n0GXiOrdALmcCI7MMH+oWD1XjLKRbVOz9umt/jiUXCjF9fYdadM+UxrmQaSzDofk2TxMU3DVTtgJF\nzAWWEIKq6Sy/n98c8PHLe6e5IGYDnhMxOCRMTgC/9136dulWB8BwTgtbztSa/jk8UmQxV74gMDt0\nTuVOaJtQz4WfT/ucvI6gI6sQjULutTyG173toh7IXeef+KRNH5xfXTNU+C3t7CHjJdPkPiH4kA91\nCVtugEImhiyGeWnN8PUQWqUbsC/KusWnLx+wrxrQFrjaZuqkLgY++OLzk2HE4sEbUZl75iZLsD9e\neRJb+xpSeLQtiVkP5qh/6sXOZsFW3Tk4TLB05kpgDJn7+llyMLWfSPcz97uz0gJEOm+rpkVLKXZF\nBgJy5komKhKkZZOhUBESY9lQncr0zA7YLTOGVrbesir/3hYUYdzfXCw5weFZcKx1xbfYuYS78QSJ\nJ75XWl8NI0Wn2tZDjoVLWbE9OlzAC+Iu173FwNB6RU5WUglTmnhcEBLm6pq+zkh5KUJfAWaKqRR2\nS+J7V8yp3GC8HAMrtaz6dUYX+0CwLTK0tMuapyoxCehCOjX4mNV91YBSiuttJnXPdIW3EMkfTDxp\n0dUxlUuEzbUmMRaV4b19Fi8qDhkusHFfZ5jKWsnu/HwoaySJuyvZPFu2OVxp8x3/3u2SYz7RJV9Z\nN3e4cJmvvaLBY00yfXfsKRX1LqSFXrqULoQBhOTYy6yt0Gp6zcnULnPSQ43v7KOcaylXvOwuV5fm\nulynFKtfo43WEs4qKoXfyGsmpIcMOdLRoBt3yj+4AHTqhnVjsMcqPDhmk1ckHhgu68IqD6u+yNME\nCTqBlX1WYWqhNOSkSRJ2WD0KIITgoLvyZCEzdiDoelhkdJ99EEpzJMs2HeaqHvtgF/6QMbdyJqYb\nYp4m+PrTLd59ssEPPddnk9SCmAvCLpC5OFkjUDfa8IRoWQ0xlqa9vJT1SwXvuR1SqQUyqiybNMtv\nH1tKlO6lqndU4N2ATfjQ1wV59DAh9LdxXZKCz/JoRLKmEEn9PN2y+uZKUBOy7aYJB0WXZxsSznOh\ndGD7iu7uX1vFkus67Cx/BVXAK+oAgp8yl66ENoFuLej5wHCNjQUX/litGzBjKhdeZa6KX94f8PUn\nOxzq5pQZWKyHdJeG9xhzPZpJR6O7m7KlFCkheP/pFk+3OTZ5OrsbzRh6DV1/iHIvg3f1CmE9bzyq\nrQAAIABJREFUmAKufEQwPidkv/MC1FoWa0rt3dYogDQhuN6YX6sjA+Fcv0Ky0lzxsOQ0Wbww5nZp\nWw6DSXkh3Y98LEI619K5lh2b5tjS6Ot66lrXGGxDeIxpGK3XfZQpZx01WsuFB6ZVrJu304euoWfG\n8TtT5ZlHvbEgGzMifAbirxUx5oYJ61M6n5z8WBEj5t+JjohlL/vEEhGbvIt9yFO91aCLfRO+i6DN\niQVmFakbik2W4nrnJ6SvBYMxJf6aPlcBxOTgqBKMQ8RujuGkFIhbjym0c9GTNvZ609LeRd65rJk1\nky5wPYDZKDCoYBXov8dJANfVw5dxKtOw8pHyY71vmnHWtB3sflBVPb4QrY1LuKrBzS1V/zvfj6MZ\n0peAAGsvs8qp2iQqgUWE4IXYrqY+MM9wLf/36HuDtts1nq2ZosdOyOyuruNra8ENMexjB9pQvMXn\nN5kyZCwWfFz9g9Rv8IwLaes9tQQSqk9CuqJAy4PO3MK+iOQ4+aq2RZ4qrK8uVsuJGmrjxqVCaA37\nKCVjQhRfQOBDDyEjghnkY8dr82Mu1rpx6H/jD+mS3rZlPfH5lp5c5E3fOfvdjgRjnA5s4csc+677\n3q5lZd3i7nC6BsjV20WENuGXDoH3hdBwyvAagxgJGa5rZIw7fpWuycFqmqZcHlPsmKF4xcdFOTSG\nVqNxBcsUoonIp3qDhx6ih46RgkXS/qXJnkoEVEi/sdB24MMoCLqcNDf78dtOpoTv2rRaN2BfmLqT\nxHIlCgFVxlMeCSFoWoqmpdjm6USU+YGA0w45ltFlvZ1eF+ObQCWEsKFawEeTHkj+HQO2m7BzHTLr\nFKXK+4btyo/rMO3bD658JBubs1CII8q6xZ9+fouqobgoUnz4/AJUPK0G8GqwgYr3lyDILW0XUe2B\nfm6s/uoKUwF0tD9NihGeEa0Sk/Kup6xBj//r/x2YeFWcrJ6m+WCa6VkGmYXUzGJkXp/MvXlQ35l3\nyjl8Dmv+3mbq78bWgSWsxwxDJ7xxmXrpqJoWn77aY5enuDvU/c0fSzIYu+wTq7Ws+mpUxDtI1c9h\neVKGBQgB6qOgmXkK6DZ1Lgn8GA4SediWEQFzCNeyoueO5R2cbyLSwM5cvlMhGj8ETI8dW+tcNS32\nnEW1alqAyuu12SgpPSqb+i/M3/WN2YmdndzHzVjuGhypUtOyEd8LwOUZIKyVJsSaZBxXL/SnSfeK\nVjlVEifbmE/ZtVdjzQgtFPOHhxCJpOYWT8b2/FDeKTJMdWDRVRPsMEjDyQprt9Dy8lvdUoB2CuR+\nX2Yg5++EpcPAc84Rqz2s+oIXVnWLg+8dhXOD3yBdr+mYE7LLjs1e1H70QsjDlM5A5yKU8fe1iRjb\nQGK4oA7qWMBEYsqpEDGrURFlIxl/Ru4yLF8D8zQBKHBf1iDHz6p7fPuybH5z6OOqaXFf1t7uT768\nKj1YWp3Y/erXF623FHkutVFBu+wsp39DI/zz/55AFnW52kWHLqRD4SXjUW5s8EJpSOvuFAeKfg8c\n4WrRHbl/3qG5FJK2ydz0LZV2Pu8ry/UvImg5MbCUeeSKPE0AQnB3OO3LImLOJZH3ZDkYXLp4tW7A\nvl54pkHIJwGeHg+uI4vYDLNQVyU7lBPA2/XRFq61DVxiAtS/9Iue53Q7IYI6l0Smp2patC3FNlNk\npKbxNjKeDbzdgCNvtyG167HYv8gSvP9si9tDjQ+e7lBkCe4Ogeim6NdbU24s6xafvnwAAUFZt737\nE4+51wKzrMbDz9RADrb2FImkYXcO2+gtA9x6tFD4xCfq4OLFxfMz7yXmOw7Gz088UHPM3qlaOLgP\nl2up7uBpvJxNNK1MLN9jCU1NEYX3li0qjoIAyLMEHzzdIksInl9uFplQ1WXPWe1h1RfGGjRu8i38\nzCMFsyBlBlbVKV0hYiewGcYhHL+jdBKtmc0iGsq6MfYOIQBtT/+eEqy+su5iKYo0wUPZSA8TqndV\ncN2wxiyro4eaSH049xIjbTdRby5Z0mVVZ+sLFcpwicNjT9sqJKumxTZPcVlkaChF1bTWGzUxlOq0\nyk6NZ8OS3M3OYuIc18bQsZGjCeJgpsRQCf/nZVKAkuNz3HcWdJmALzvGNmTkLmyYC8JIqaKiI7Qb\n8AwhKtZtkCiUTOmW1eWU9NJybTFpYyxlhLXS0NP7TFu0oBlee8wq0FlTt8X0V1Rqvfc8u3V5R25D\n+DIpfwjVbbayVNzaQ8GChBGgu7LmvqyN2rhEeMWmKCwUst9sy1I+Z/QML8zrr06yKfdUpsXDRzAh\nUDwghFy4q6YFWopLSSwF6web2gaxTMJvQxfA8w7xT7Dk9XpwnPGQ47C5uoCy9YVSKi3DSJAW3rSl\nJU8T7PIUzZGGqcIeYgvTYh+HKlB1MBsmS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ghKMa+r0wDkSRcmFOR84EiFSc0/CeAPKaV/\nTCktAfx9AH+df4BS+huU0vvjx/8DwA85UWOBKd2OSGTXnbkhs6iMIYSMUzXmGcZCIJxVIjxCUOar\nHBhq8gMQJEDvmmZOe8xjadW0eKhMs94tVA1+hIw623HN0wQJCB7Kuv/cl3X822dVl7gJuoAvZ6l9\nbNtGm24nRBBMB/+2q9cEfQiCQ9xT977hCcAQKhpcrNNEUx77PSTGymOHVVlIru3aK2tXclzDQ7kA\nuiLkvBX7Y8oVQacUEemwHT9Kz3m6/xuxlXOuqKZZls0Kk4yBLT2q77kfDlUzqZzqAor4Se5c5Wfm\nmdq7oDsqM4hBRr1/F8DPUkr/1vHzfwjgpyilv6B4/r8D8H1K6X99/FwD+B0ANYD/hlL6DyTv/DyA\nnweAd9999yd++Zd/eZTwfU3xUFPsMoJt5jZMdUtxU3bt32YEO0U5dxVF3QJPNwSvS4oEwFURljVe\n7LuJ8HRDjNLPA8BtSVG1FCkheLKZdgmilOLlgSJPyKAvbm9vkW4vsa8pipTgMpfTta9bfO91i11O\nkCcE7+wI7qpOKXBdEGQJwasD7ZUEzzbEaJPlx5TnjZf7Fpvjv/c1NS6PB6NHx3O3JUVLgauie/4i\nI9hkpO8voOOd/BjYVzYUd9WpzQ81xb6meL7tDgWML3R13lUUZaPvb/YMcM5jL/ctKICLnOBwf4cm\nv+jpfrlvUaQEF4pyTXBoKO6rrt8eaoonBUEqBDby9LG+ADp+eHXst8ucoEgJmpbidUlxmRM0FIP+\nYmBzgxDg2cZMCVO3FN+7adG0HQ3v7E50yPD6QNFQajVnTXBTUtQtRZYQXBusMy/2bb9+3d7e4urq\nCjdlt3ldFQRVS3FbdjxWt8BDbUfzoW7xYk/xZENwkZ/68qGmONQU2+O4bjNyNrcONcV93bWFUmjX\nKTauRUpQNh29bE3Q8bYJ7iuKQ3O+XqloIACg4R02n3dZd1A/1BTPjjzI+uUZx5NsXWI8rMLt7S1Q\nXKIF8ORI5+uSomnlc5efC6py7yuKsqV4tknOnn+5b1G3wLMtwaHBaZ87UCTEbJ97eWhRJASHhmr3\nUR3YuvlkQ3BXUTTtOa/wtN/XXX9QCul60tO2b0EIwVMF3zE5AjjJAKw9FznR9p2Iu4ri9c0d3n/r\nStlOtt6nRwUPTxebp2weXRXdnLmrztdMXiZhn8uG4iInaFqgbDtel/UjvzbI2sCXy+h9UhC06MaJ\n7V983wz6/NAiT7o5zPYtxv/sXX7+jMlvIk0qGYztM2yOyOjj10oZXry+BYqLfg3KEoKWdmsQ2xP7\ndh5lijzp+pTxy0VOsEmJcs7z36cEA55i6xS/B7K6+H1YlBP474DzdYKtSWnSHYNbCqP5zY9/mpCe\nz3T7qk5GHht3Xk5idcrayvc/P5avbm7R5hej6ywDky/YmFUtxct9O6Dvezfd/cgX+bhMMBduSzrY\nM0TeF/tdtwbI8GLfjp4zVGPL6gLQK7XTBP1+/jM/8zP/mFL6jTEagiZYIoT8BwC+AeDf4L7+UUrp\nx4SQfw7ArxNC/h9K6R/x71FKfxHALwLAj//4j9Nvf/vbo3XdlzVu9l3Sj8uNWzPqpsUXdyUA4HKT\n4UpRzut9hX3V4L3rLb64PSBNCJ5dFE51qvAXr/cAgHevNp1bnQFe3JUomxZpQvDO1SYoPWOglOKz\nmwOKNMHzy1NffPTRR/jGN7+Fu0ONbZbi6UUuff/uUON7X97hrcsN7g41vvZki/uyQUsp3roskKcJ\nfnBz6A+r711vjA6XVdPiy+OY8rzx2c0e2zxFQkhfny0+vz2gaamW517dV6jaFm9dFPjB7QHX2wwX\nRfcsG+NnFzk2WXfH3qFu8PK+wvOLAkWW4GZf4aFs8N6Rvs9e70GFtpzV+dDxp66/X91X2NcNAOCd\nq81A8GF1PN3l+O53/nf8iz/xzZ7uz17vsStSXG/l5ZrgoWzwel/hapPh9lDj7ctikKhHpI/1BXDi\nMxzp2+ZpP2+f7nLULZWO58v7Eoe6BSHAe9dmY313qPGXXj5gW6Q41C2+9mSrXVu+uD2gbqnVnDXB\nl3dl75b/1uX4OvMXr/f9+vXRRx/h29/+Nr68K0EAPL8sUNYtXtyXeHaRo24obg+18XwCukPC57cH\nPNnm2BWnuyFfPVQ41A2uNzle7yts8xT7qhmMBVun8zQBpRRva9YpNq6bLMGhbvH2ZYGXDxWalmp5\n2wSvj/NKXK9UbWWHVRXvML682mRoKR3MWXEOAxiMAZv7Mnz00Uf4yz/5r6FpT33F1h3gfO7yc2Gb\ny8t9va+wP9LDP58Qgt/79BXqpltzr3c5KAXevd5Y7XNsjbgvG+0+KqKs257P78u6bzNbQ8U9ja3t\nT3cdvwGd4CNbT3rabvZIiHp/vDvUuD10XgNsjWV7xZNtPtj7x/r61X2F/+03vwOd/ML4gHkNvHt9\noovtBZebDHeHGs8vik6Yfqj6PbGv66FCWbf9+2z9fLrLO++QskGRJahbetb2F3clKCBdW8Ry91WD\nVw8V3j4m7OP3Kr5vBn3+eo9tkeKB4weR/9n8MeGXV/cVyuZEE7+28WD7DJsjIn38nFWt67/267+B\nf/kb38Q2S7GvG+RpgrptQSkGeznfzm2W4sV9xxevHqr+OdWc5/k4S8iAp272Fe7L5oyneZ4E0D/H\nr7W3hxp3R14W1wm2JqVJd4htKTWa3/z4Z2nS85luX/3i9oCEEOk627b0TC7iwe/3rA2sXeKeJZNN\n/tGv/wb+pW98U7se8hD3tpt9hf/v+zd4ss1QpAmeXRR4/oNbXG27ax3HZIK5IM7pMd5nMrKJfAF0\nMkZChuuVCNX8YvOVcs+5nKFMTA4fA/hh7vMPHb8bgBDybwH4zwH8HKX0wDXg4+PfPwbwEYC/YkVh\nRJgKawSI7oPvI+ouT88zjjxNsM1S3B3qyRI7hXKhC+lFNUxj712Y92O9Biyiu+GUbmg27lR5miBJ\nSHfIxThPxmoHEf7ODUbHWSjE0W2UdUPbql2RnF2InN7yhw21smfXEDRSNZ0QfrnJ+isJXODS1rJu\n8adf3OL3/3/23uVXdmTdE/pF+JGPtdZee1fVeezzuvciaAkQAyQEA4aAYMQd0mKK1CP+AJgwYARi\nzKB7gMSsEYx60BISYwTqHjaIhqum772nTtU595xT+7VWZtqOiB7YYYedEeGIcDjTuZZ/JVXulWlH\nhMPh8Pf4fd/3/Wf8+oenft/Ecf9xiYMOXEFzRf20+oOOBtzG/YZw5JoPov364ojdr0sCnLF3qE+Y\ngi7+/nxQ4+2YIEOgTgZqqcu7ZXgEsfwGDOJVJ8JKrb9Q/ggRoa8hDbtiNV9119Rkl789nc5Lui0Z\nYzqLz6zFCp/z7XcIFxPBPwLwrxBC/gy1kvq3AfynvQEQ8m8C+Luo6cK/U75/B+BZCHEihHwD4N9F\nnXxpMmJw+l2dIYTo05evCIdvYqeQTamf7ZksUoKcM0Z0aXDd9K6Vqdl7TV5oXCEQQkQTGqTXeHj3\nBERvD+XiPIgoKAayFSrjzfDs90rdazTj7oRft5Gocx1zb1CbyhLaMk02aY6M0vD6iE12bNdnvGQc\nFRO1948JFBXHTuNp6Y1dado12V3twfRDaKZkl/G0CZbgLn8YOtOiNh7Fl1eM7Wl+kEpF9i+yAAAg\nAElEQVSEbT1MrZsecn0h5/gotu3fIx3Vte2PuN8kSCjpeRgrJvBcVCiqPouFYFpFirPqAqEVLhzm\nw3Z/WgXQ0NBVEiUqyBIKEILnosImSXC3SfH+7Q4V4/jJm91yyjoOIGC/NVPWjjzX1Rg0htC1N6qs\nCiEqQsh/DuB/BZAA+B+EEP8XIeS/BvCPhRD/AMB/B+AewP/cLLa/EkL8xwD+VQB/lxDCUXtx/5tB\nFuHJmLK2e5nUbMc1nzEtDC8FU+bflLG29SyFvpU0CMlqOBdsAqtpdLZ5HiZnGO3fcFydYEmvmMSE\ntvvAdRT7fvpkUb7ye3UUcRkA557VXsIE1HFQxuQ4wGiMrG7tkZibAMbnZK5b6rNMiUbck98Mi9W7\nNGu6pjyl+NnbHZ6KCu8fdzgUDCVXShM5NB6aZVJ6KA5FhWykdt8Ql84aHTWrvcM+PuW6ehmVTQot\nqVkQWnitU83pM7xfdcljbP2M3S2XhFutwcxi5B4qkK77bcU4IAT2eYpjyVpWQVFxfPfhgKeiAucC\nv/zqLrpyJKDfX4zHz2A49MWl1hkAbLK6TMsuq+nFeUqRJTRapYxLQjdDk26jszJqOF0I0CZ3Rcjd\ncyJfCyH+IYB/OPjuv1L+/e8bzvvfAfwbAeMaRaxnx+WxfU3er1tHnwrTN0YIZaue2rYNfoLpyJdx\nZXXzIMTgz1mEDvfh+OB6VLd5eo4tF8TYv3TWUKk2qeU4YsTuatfeFW7yHPc35N622XZn2AeylGKP\nOhP8oWDt93MLp3Xtvh0+HAp8fbdBNVCeooRFoFYMKl57brWG0diXOWYMIeOqgm9ZGRWUTF+1ZmHT\no43hubENTq7NKcdNqXXsgi6kx45NmgANoyGlpK51T2q2AU2AN7sMhJBembDhNU+dzTnFCpsxJLZc\nMfVWDkdDUBvS1OoYtyD3D9+9MfdvMficitC1t7xI4UvDYebUTWhJ63bpnp1YiHWZ0WJWbSPyHGzr\nTYowtslCyoU0ghezbj092rcMQs4FDfmCbL0RMHtPBw5BKzqq2PUMEUuDpL1O3SbOyoCQaYpELw7Q\n7ITSIk8p9nmKtMmc2mPU6PpSqNSq8G4SzCTdEgIoKz5a0L7XzIwv+trw40dhdi9nM7/n2bbfTVkP\nY232vgtpJ+TYsWsQg2tGt0+anivpvcuTev0/KWXBNknSGgFH2QYhhq8LCbCuDqAV8yJmOFBoey0r\nSP5tY3ZY8OqVVZfYlyVRSHW4Ns/fiMBhyeuJeVWXniPflRLT8jwG01y0X0cSMoZwpRSNFTqPqeBP\nwdwW+jnaD50yqvGscgGksJeA6seN26H7/dJbm29/vvMZdDkeir7zODTtXXIPqvurESC3OKFkHPs8\nwT5PUTLe81TZYA6TiLPvUGKosyr/EdB+xTieiwol6zKjmgRL13hfFbprrpjAU1EZvdY6hBpE+yFb\nbr6ZM+/uQKl069fvN+0eNviWkNqbut+kyBICFPUxYzkTXOXUUczM1vKhGevPHz875F469a15xi+9\nL4ZgyBl0mRZXfWZY59tsTBxHyN4j8eqVVfnisC36oqpfBDLF+lIL1S8FS5mdoaDcWneWMkDoX6jX\nXl9TkzkYcck9/wJTWDX7QlFl2Dikyb8kYk+1ToCQ9FQ6eM7043HXuOYSRGLC1/jl+zzpPKCqFycW\nCHAWAuCDzgvur8hJIYgL4UQh910XWUKRJxQlc8vufSnQyHHYRcXxmw8HnEoGCOCru7q8RIiNo2Qc\nz2W9p+UpNc617PO5qACB1mutrofZ3iMIew58hOQpjgk3oV320Z/gsTweU9GyEwK9W+14bAMi5vuz\nNLUvVtbxpUIql2d058AtyFUhHfs9RGG9WWU1WszqyF2rqUQHfDqUKCuOh12GjC7jpfdqEOFed5tz\neGNyrYytPfVBHH1wW6998LCUtsavbeQdMztMfczmpZypXUkxfC4qCCHwi3fxk2FMRVe+R/Ob58RQ\nQnrJdwAAolZU+55w31Gew+f5ccWczAqvWD6XcQwOmcGxeta+bgj+XmNPBV5+DpbVUIHW9zUO3+ze\n1kG6HOp4rIkq3yUYG29IPaZkHJQQ3G8zCHQliGzUe91Yi4rj2w/PqJgAYwI/f7c39l8yDgFgl3dl\nj/KUzhIXenYZE9t2XadO3qneXuV4UnOcQPh7f8yoPeYRvjYraWlok1Q2f9+CN1XF8Fk3skMCHh51\nJnQGFud2hP7frliWdHUFjE27tMru8hRMiOBadCvGMbcn5RLbj5MsqqXgGY69gArZ0U4V+mnEyepi\nqNwavbRCG4KScRAC7DcphAivUalFwHXOHqKgEXAElDXTHhbOESKdpND8ffkbHtqn7rp79KmJD1Ss\nuRiOI3adwhAw4Tc7Pl3laT9Zynlb+tZC75fL2MiI1NVlonUbT5ZQ7PMEWVJfzahSbhika91d6aWm\nqLM5A8LstZ7LsxrQsF+d1eZYyzFGFonLXgfSM9KMjSm41MwQ7dpyK290vl+Mn2OLg/e5B7ZDhoyO\nWNA5D1pG3g0i9rgnt0cQbGy6Xc9qNIu7vb0soaCU4HAocb/xS7HvNxAAI3TkJWFOQbIVfKUnM8K9\nnhpHMRfO5nHCEKfOkqtwFIoJRrnFIUsodlkCzgVoE4P0kkHJMHalUVKav2XSGJMgXiu2bn31Vt4N\nrpc52AuxLf5Dr3uosUM9y9fIJbvk7Vpyn53YJY3U/oejiP2qGyvh1Ovb5j1rPoceZC4EDiXzot4D\nHU36uWDYNCU7TOstTyl+9m6HH54LvFfqT56thwg4z3RqOs6tvfBn0GDYUIxrrjV6qUWhC4XLWrkY\nplya4dG2xUuGwpcavtT8MGLA+IupxLt6RF0Nl6FJ/W5WWY2FsZuapxS/fLdHQgne7vKzFPvXhI3m\n91ph3Ewaz9CUmNC55pmgLyzqEzdEehFNtGheAsPrt4mlRo/0zBcRhWJowJgB7ez4aD1b+iB9S/zQ\nQi51h1hjufYajI1wul98WqW5rwt7sxVl1UeBu3UYmSPNZ8hSUWMdjyUbbUgnLOYpxfu3O1SM40cP\nW+QpxalixuM3aZ28KlP2viXHm/vUDHU1rJpiy8++w/C7QY3WkX7Omg3dT5S2JpfYCzhWzeg9BWPG\nNd/9dsgua0MUXjBfOuTKJmWOdwihs+FmldVoMasOMuYmS3CnpNhfcZtYbBwCieMjmPpMdIrHPIkx\n6hflDFLMlQQjUzKMJWCWRDyo474p7RTXocFsirKjz/wc3Fz4ODAfB8Pduzyg3zUzPPW+aoVrQ7su\ngtpZ2Q4fT0VzrBBDj5yeouijbMyJqe8RqZjPZvzseVjsvw+RUoJN2tGmXeIiTXFs9XM0/UkatkB0\nXzq143+SPdP5hL0O0/eYSY/BjI+Q6fmdp68LdYR5PLvRMDAUD5/N4V7uwzScHsLST+YV+vwuU9Ly\nwFThtxOyxg/knYS2YkacedYC57v30r7kPYu4U0cbt4O3Tn35XlqtD7nMxRofJiL2Uo1RckMK2EOL\ns1wy0T1jpPdx8/CZenUqxUzvnLHog5DbOWWIQvi55edeF7pnJdpWPNJQ92xN9D4FnjNFporlORvC\njyI+1tY4hEf4UXfN7go6IR393RUvwcsXcgk+j4HvI2N6zttauSoF1tJOUXE8neoyTkvG1Ne0lQY8\nevK0vm/Xs4o6AcDTqUJCSbCHw/WFQIlbIe8VHSZ7+uIMo2tLIIoWZs205zqW3t+dJ3OKAhZeww69\neVH/jLni65gPl/HYD4pFSXrxiHjx8pZwIZCAnNWJHGZTHH5f//aq7waAcAVkspBhancqHW+CcuIq\nCJ73NQ9UZkkIXPdKczZgcztnyc0snTndC8P5LhmEh/OjCw+Qx8UQmc7ZAO6eO1vowlRM8Y6Sxtvl\nyhYYvqN1coLrddWxtWKirDH+my3G0y5DjZc2iS2Jm4x3Lv0UFcdf/fEJRACUkraM0yVhGmeMeYqp\n9hCEe95v1rNaMoHvPh7xu89HfPvDc7BFw3XfouRcQFtxO1AfkBieWhPKtvam+3rUKYuXxpBCModh\nZn18PDHDQgi9r0O6qFqvD+gE5FgGqmEM0VQM23U62AFiyGG1HReAMcfq1MdUpYtdWrAZ8+a6ztkk\nNuSYl9NzVlzGMlJOtt+eTagPNXxYfvOJK7NRyKMzmSK0173/3ZV53251CrquDUIj0CsnnT0/bta3\nYzTW6C+oZByfDhU46mVzrYohlwiPiHlPfd+JN+tZZZyDCIH7bYqKibbOly9c7y8lWONVHTE9drLf\nQGhzl/bkyELpx5Kh4gLbLHE+91KUVuO9sdACY26CYy1pf59iwr5BzPXSmeKZks+SpK7J9wzttNX+\n368AQwPPEMMYp2lKVfjZ2lhg07HKv528nYq3yneMkmnhItyf9+XV1STE7mrsGYllgAiCpu+ScXw5\nVkgH9eXbOGqdl8/c3GS4eO4AjQdYCD9WjuPBIR5byfRy3ZNdvI29423zovQ/B5zYU/N0HYzeXq4y\n3Xrlx/SQWbO/HCu83c9YMcQAndJnMyRN6mtSgiXp1Q/DzSqreZrg6/sNKlZvQKELxFW4kqUZFoWW\ntnTdYcyFmNfVvTznu4cl4wAh2OYpIM4tbCady4VS40afdRzoWDszaYeioclcAi/0kQhCjLkw3TYy\n8nvoQEy04ksi5v7j8zSVFcfzqUKx42fzOtcr6MzLadkDioq3WbC748OQEIJKuAnsLwWmPTA2i8AG\n2zJSzy8Zx3cfj7jfJIAgeNh1IuOYQOzyFnFK4uXh7bW3E/fYYeIYwN2ueskkRFMQFGPaGjHmw5Ky\nTucpxfvHHYQQbRbta8B3KlzvrXvpmmYcIwNR9w2f+3fDyup8pSN0aOsMLuDheG3weYkbPQYRLU22\nmrwEwHNRYZNmyBI3z6pKHZrbHmL2qPRdQPNkA7YERDlAN+9Lsx/FQIwtJpaAJyGfwaFnVX7ffQ7O\nu8EN09eLcXa+I3tBh4oLfNewM4QAfvJm63Tq1NAG1+eoqDh+/cMTjiXHLqsNxm1b8FcIUuqeYf9S\nj/rYdcR5h1jajxibq1sXtvepGPxeMg4IgX2e4ulUjVIcL5GxOVTYrU8O68uG4XJwUcBls85kPeKu\nNGhPn3g7YhkPXdaHDIu6liKqhmWp02yb8zQhSGlyFUVVnySqz3o4OyRwbkO3vhh7980qq0Cc0hGE\ndImaKDEnaqKNJYzM9BBNFZCuhSULo1pqHsI3XJeavD97u8OHQ4EfP2zx5VQZxqVRukZ+t45r4oIk\n7f/mh9mYsABX2gojqCIgAucCdfc5VSpCLajIP18Ie8RVuKx4vRfs8hQCQNEoB13ynWnviKmKVsk4\nCsbBBXBirI3ND9mDZF3XoXI4pozU59z2gjAmngEm5y8IThCl8XDnCQUIwXNRv8ukQdY0tl5mXI3n\nMWxg05sA4FRjnRj+bWxTPZ6Qs/wTxn7aNS56f/tgSrK2Wt4Mx6iyCXlt8zynsWRl036oltVy6lP4\nx2DGxlzvSPW6Q65R3eEJumfQt6WbTbAUC6xJ1PT7LydroqZh6YYV82AuEaSrUzjvHdxktC6U7kFL\nv6TY5fKCI2QmuvRcMTKWGbx2TcYpWNLQz4uly+/rz4oJ78RiTv3euFKiwuVaUlq/a56LqhfeEr0U\niPSEKxZ4l2zdWUIBQXAoKkCQs33OZ3/tknT1vfNLxWgyJo9rZ9w/EV+vr6CzBm0Mxquj8W2yBO8f\nt/jR/RY/e7vrU7/lnuAwmKmlgPpKpF4WGx1GgKPB+m4x/DbcI3WQ8qSPLn9rzgzdaKewBvQhVOMt\nuZSVUfeeWGO7FLTz4smYmdJX95v51xjjuGnPagwIAG+3Kd7s85bmovOuLvw9+iIwnOI2I2iE9jrP\nxHTl0LYWQoRKmwWauJpqR8Y1eu7w33MpliNj1M2fiXXwEinAQPy9JtaLixCFBtx+R1BUHN99PODz\nsUTFOP4kvZ+8h8ZWXPz6Rvz179heSknLzvjZ485Ir74EdOtFskf+8ETxbp8jSwmOVedJ8503Qmqv\nvYvQ3kuQc6H5mGOPKSqO3346gvPayDMsdeHBDPX6fuz39plWjpAGk/2mDmk5KQI/ac9TPS/Nb8r7\ndimoa6fO0K6ySHSx3lbatWNN3ejvBKX/pRuJpkCWlTmVHPs8cSor0wvL0qztIcTgnXgtzGXYbZ9p\nuO2H2nAtZXZCPe+v3rOaJRRpQvF06luyh7hUlkuv+MyWOXmdzeYWtzhJPZsLIXQ9lZJzjQ2vZByH\nks1e0PqS1/aSX8A6XGJu1SyJXFEc6rwBBD9+s0VC6aTU/cO97BZuY8GYk5fM9Vps7IzYypPRkGEZ\na5b4s0e0aOjeS8wg3VNAIo+vZBx3eYqfPG4hMEjEd8Wp0FFSbYYu3W+qEUtreAy4PoGB52tAoT3v\nw+Dx9DakjA9WFeTlP5wE+okGxDnDmaZChtZ9OZ7viW7Kzjhck/mUjONUcgjUDoHhuymGt/pS+UZ8\nMJyWKGOLYMRV75dvU6/es+qaqOlCSUxfFIKmbOZ5npTkx+M032x16mYy5xQM2669YkdA1FlIKy5m\nzVQY40W5QNk2KqIIE8ZYnHC0SebQrNdmmFlCQQkB4+eZ2YMT/0wY5yVRNuWqKibAGi+ZDr7Gq/oc\nlSo7eai9ccjmwihvdRtcCMgIxi4OzocGXCsE8t3ajclC87zAwpjFs64gSygSSnAsmdVA3kv04jEe\nn3eOq/AoLAdYz2t+LJr64/ebCEaOCfDPB2H7ccI4mpO54411YTsFGQICqNFjkDLFm22K/JlqvZle\nTJcJE50lFEIIHEqGbZabn7XBv12o3BLX1lF94p77z7vbyOVRk4yKKw04DlwSNS3R+vtaECzwaqyx\nMR6a6CshUoMhm3rJOCghuN8mEKgTvKgUoegwDLEVVNfHrMXUqTCeP+F5apeE6PZEV4Pfrdxan3EW\njKOsOB73eesl01EgS8ZxLBmKKnOgoTXnn9EL5xWMXNvuvOvhz6t6bTRAd9F5/6biUnuPTyWDEK9u\nP/7O3bup956az9cmCtRQtWX98c/HEiXj+NOv9WEC+jGZYxzd12tngPWZTddjVSOKa76HmGFJZ207\n9O11bZ6omACEwC5PUDFhDK27BPKU4v3bHT4dS/xkYlmZcRrwtdXWDmPx5EEJvTA9LpWABLMKXj0N\n2BW9l+P1hvG6EPJAGZWh+YU9tX/bgzgc4mwJjXR9DzrPEoo327TNynmld0o4lvN+iAbvF4mrJ8V7\nJH3UsYXdi1ntNk8p7jZplOzsus9FggBMCAhCwARvvWRDBaGoOL794YC/+VxYk/gNITA/tWwo1Khj\nN+1JndfhnCrrTbVEZ/QYT2A0P4XRBTFuiel5ucT1SS+naR0O7wOBhXI7+E13VMk4BAR2hvrjl4JL\nAjEbdOdahXfLb12CJUfP6oDtdO3MszbkaZ1BWhdaJ9deyczjj1GqUJ37lDZhC5p3k4nerpvfsf3w\nWrLI3N1KA1TPWG2B/jmZjtWz6ghdiv0VekTPXBm9vcDzXGgWrVLsuVJaupfoFY33sgQHXNjQyv+X\nNNzy5YLxBEtuUMtNrbAjVsydSvMsqrqESVFdz2q+BKSU4hfvdnizzVov2aFgvWNKxsG4wP02bb2v\ndm9a/dkLDdB4W0MwVqph2J++DUkD1nvSfMYh6cO6vucsfTHsawjdNI09R5eUDcYS45hkFenlfDpV\nYFzgV1/dtWuxo4ifa6vGa9P9NvAySgPOoSix2WdeNGDXWFnD0PptIa4soZt+IjuyjEP9rjbAxOvf\neOzwGfM03p/V07Ycu0kp3j9uscsSPGw7Jolce89FBQg4JTuKgWFtcB2Gc+lFA76yUmDLtB3TCRKs\n/5xtJ2Ey8qqseqC2LKzq6pyI+jJR/x1R5omeqTRqa4Y+pACh6c1Eg1/KSpexW/IaZEzMPkvAuMA3\nD5vzcwafK6aDUIAzUXsKPxzaOGeb0BEsiMlYyNh30MXg5Bi0WDbK+ttdjruN+VWaJRQCdSbVPKGj\nwrruZU7chu6Mbj/whxwVn6BMyjZUWpjzScG9umGKWTr6e8Yib4T0Jb2aqpezVVYVA0KvHxCYbrWa\ndE22MXxm85Ti/eMOm4zip292QQpKjHn19Qp5xf56rshe215GnuVn7yWEtEnY1HtdMg4uBPa5m9HO\nhm6tjs9FF7ni6MU2PP+jNVmdWp8Pcy0LSXMnZHrd5F7MrGdTq7LqAdcU+yEISeoQYtG+JUR98cdr\nyt5PgFdyakKj2IrZnDVpY4yxql062GYUX44MFb8OrWzJmGObkl6DknEwJvC4z7yEDqcav5NHaWo3\nbsttYjIuwLmwUqATSvDTxy02KcXjLveIWY06ZO3zrPbl2p+aEVqN1wPcBcJezCohKBnH84khHQlg\nvbScfmkB1CQHeHtIDO3IZGhPpxJ5ovdyDqdYjqk1MJjcUMN/K39nKcE+T7GJ4EkLZi/VJ0eD1ovq\n+C73TvTkdIx7m5dgLwzvj1xrh6LCPk/GjXaRHnabZ1V7rxQbUa90jaH9vrFmGcaE4TvEyJrwaRNu\nCfTGegidnlVZ9QAN0ShXTEeEZ/9SG0hHv/CHEMsI0S9ZHVfyYPEWzQWX+5QlFIQSfDkxEGLOpnnr\nmLpmh+dPNT6oSUoEqddJSseFjml9zta0uU+HY0rGQQTw5i4HaZQtkxJa8Zpi76KoDvvv3TIN5TL6\njtHrvP4oKt5PBtSGLAxOVc49O8fUHQEqViv+95sEn48lvr4/Z0qcnxd/YZgEuWuKnrH7zlOKX361\nx+8+H/H13aZf39XirTJl0dflW9B57X2z43f9yramz4SAf8yq0/E6Jchhr5XSZMi1TTJu2x32k9HK\nQIM+ZLKjp1OF949mD3vsNe8SF7wEBTMUIYqoztBibF8yByKtm9CZXpVVD6zxcfMjLo0qbh9O1s02\n0Yj7U31myVa+8YpLcQuqtaLiope5cZ/H3SJMY/S5zjyl+PnbHYQQyJPkxTEL5thmYjQpQ6kFgPeP\nWzxsUuzy6UmVtJhAU408BC2yhOJxn7X0XJvCXjXJRFLH+me6ZEVThCmN/nkWgzbcreQ5RcXxz/7m\nCwQEtmmCn7/b970N/FxIKiqOf/6HL/j0XOLtXd6LixyOQ/77Lk/wbp/juWAtVVWnmF9qPVwr2icm\nO0ZAHxC5zRJtndxhWSOXMQ1/M92jmNNpYh6MvnM940NDPJVGQ5P2HPewMvWabSE9S4Btq8poeCI+\n1QtsWqv68/qfY1ANMEOvqa19+e8lqAmmfT0IiqHpmu6UVVn1AHmZDpxXgZj7R6CxtTuf6P9eQjh0\nxesNaZenEOLymRtd79MmTUDQUAhXGvAoSsYhTgLJBC+oFI5OTVKlx30+fo6y2N2NPdOydl4CeUrx\nq6/unLyHde1i9BKn2dCxMwYeK5izMU4VXE2CWM2yYLjbJC3lWwXrlddBRxPnAts8BeP60hWqpy1L\nKHZZgueiqzta8X6Sqoti4WvPBTYSmFyGQ4+TMWbVkgV09DfNdz7wqSE52lZA/zbYKL+65Gjn5+Pq\nRL1ZwkUsitIlDU5Af1/TKVpGY4HofVij2F2ownMilLXggzoRHqwX6G4MODfGumBVVj3Qpdh/AW+z\nC8C/AHff0kja76f3ealbFtKNmpmvbOo27vKkJ+DFGv9YOymtY+y+HEukTYbTSyv6LudQAjAujGyH\nW35E54qv3KR1op9vHGiW2nE1wyoZxzZN4g3Q2uflb6Rrl6bEZMN4MMYFMo9ionovynwY8yADAl+O\nFb66y5EltFfyhGvKgWQJBUSd/TXb6eMiVQFvmJGcC4FDea6s1vNBRsfsgyAKpoOHZSrOPJZDL+KU\ntkl91WyorFrGImCIeR6cp96jXtsinpLi4+md3td4i71EaD6ySsA5sidbluSxIbvGHtb96I8bGzMx\nnGtaH9a2NIe7Pmtqjhmzoc/+t/lLv7FcAzHyjvgq48P7a0patmYDnhGOhvGL45YF8zlxTUE3ZI84\nlQy/+XBASiiOJcPP3+2dzmtrl1UZknyaEpFSgl+9u8N3yQFvdzmKyJ7V0Zec4y0jhDQJXuwTvT4b\njTdMCGzzBM8nFuwtV+fyNZer8UXFOLYBz6Vo/zf8Mhxa4YU0yojGoy3jzIqKt3FmX06dksJ5v9SW\naM/Z4odnehYXed41afuRxx0bRXWJQuDc28kwE7Vt/7IpUmPjpJRAGLYBnbBZZwE977H7rYYa2doy\nBDSJuFwRawm0HlqfkwIUz7Y/l3M8XKvae+1lxNf/7ZQh2b2b3kl6z+p4e37OCfvvrnVs+20SxSjQ\n1Bi1sFr6xhqXK5wHNqV7qveVQPWITksiFXrmKnF4YGkxq1f38M7Qva7JGN306YhhLXZxXg796DY2\nGx0IQME4BBe43+opdzoUFcd3Hw74/ecTvv3wbCz0PjKEHrZ5grs8RZIsa72roCSO1XDJCJ39oWCW\nJRSUEjwdq0kJqdT9L5tpbQwFXUdnwXi7V1rKjNeCumu8KtAXCrrvIrIrHI+TvaeU9pgeai3onnLS\nWx9UGxfZtm0RnkzXaRIDo9UR1lj9X+oeQxtjnwqT97P2xJnhMkOm8i4hs+tLI1QzXcdMsNQp4+p3\nHs/54PMW4DpWk3InNEyMOdGLJ9X97tiOza7QpxovCzHG0z47o305Gl4CHTqrZ9UDcz9kt7RptfAQ\nNq4NdzumHmXjwSyqDJvM7ikJDUQXhKBoaJZZQtvkLMYxMY4sIfjKISupDyglk2tq6WDOuDm+aNQj\naGP9rIWgl4XYz4/MAHosWRuLHDQudPGIrktDvZSl7gtDxKRhy7JKYyVZzsdwOcFHJ1jaypMIAAkh\nYDLJieXGjjIffAbaG1/giQFt38q6VTEW+01JUwJMgc37aY+VVoR1IfSx2eK689jFHsYfhMC5Idsl\ns7+P82MYWjAF9dKQxqYZdxmdsoo496C9nyNzqBpkjIan4fOuHK8+E6a5GtLgL1KA2UYAACAASURB\nVA1jFu8Rp4rPUAkhPSXTxYij/y383q/KqgfmzL52g+/D2RGdajBBAiwqjt98OOC5qCCEwC/enWe4\n7HUT2M/7xy0et7UynKcUh8KeaCRLKNKEtl6HWGVEElLH2l0ars+YfNGH0HxeGtqENpY40jytvfXD\nmEMfVEzgu49H5JSCc4Gfv9vPRgd2YTHcAnwzAbcYEDRknOEcwuUYG3FIthfCnixKFdSN1LmAy1hK\nDcM5Qc7+MbEdAygl4APmjsn7ORYkavJeqcJtaGIdnUe0VSY8QkBCEjW5Hju2Lo2/TbjHumtf0pNB\niH6Ml2bJjnlWXc+1DXnJIkiMsclbpuZWmYLQTMWrsuoBSprsiKcK+UgGyBVh0G3sSxBQSsZBKXC/\nzQCMeDCJ/UE0BaAXFccuS/Cwy5zHNUxOMrYmXeeSUoIyUKmx9x9yzrk0LdvhYrmx5KHwuRyZPCmj\nFMeCnXlLJBLaeM8mvGmYEEgJwbv7DBXTZ3mNjdjP/qW3Et9MwBKttzPyeK2xg6a10XwvhXIBAUI7\n25+OziiVgzFjkna/b4UijUAeeT5itlcyjmMlUFTxn4vY8jAlGpqmwWMiFQ9tZItGKdHSfYWf52cp\nsOrplh9d7lebPM1jEeqMAb64BGvDZLB3qXVLIrqF1BI3elqypn/S/52AwJb1us86ubzmai45Nc+7\nc4p3f8p+u2pbHpCehd99PuHbH8bjAy+FG9jzF4H24Q2YsCyh2KYJNikd9WD6bhKqxSoLEHLyNLx2\nmQmtcnNpOE6d9KwasxW+kqeiZBzgwL4pLWLakkzlKnyQJRRv97WiGtOLr4JoHlFpILzYfhtx6RxL\nhqLi3mOX9hk1jtAqME2A6rEdXrrWS9pQ7+303/7n+e/6/mzoCeozPN9TWiwqjt98PODjSUySDc4p\nyPpRja2DMaGw3Q96yZFMMatQebTm3+S42me4e6+FLttunegVYPd2/OG6HkJF92u+oaYkggTGnz/j\n3hApbMc1u7Rc3pSaPQjDa+l5EB08s71suUvzsg7DO0KaGMQZG+fB49oJLLRsA1bPqgeYENiktcBW\nVPwinoXXhJLVc3rfKF6hmxpp/zf4foJJ0deDGZqYIx8qALE9CY7HJRFdDnN4s6SwtbR3Qwz4UGDr\n5EnA07HC4y5DSvUvDancD8tV+MD3GQCG9D3/hVBUHN83ZXeeCzYr9Tg2ThXHX//wjDyhKCvuNfZO\ngbyMSHsWs6r5XlVACSGgpBYGOw9Rd448b4wG7J3w5gLzMVTAhtD9VDbJ8XZZ/ftFZIMpXgoljEK+\naU1lRcbi23oUccuRse6cLQGXCVOzodrQU9A9lECfMkxTlctQhHZnErXk3nEpyNJaqkHOF935y4Rp\nbc/FQvE1lPkSeUxYlVUPZAnFwyZFUfHZPAs+eEm+I5nVVgi0gp3EUq7TVFdxCGI24hmPb/swrKlL\newo988E4wxi+43l5rskpbtXDWjKOp1OFlNrXnKpA/vhhi79U6KbqFKnC6ZQ5cX0GpkKOXQr9j/vL\nUY9joahqBeZhn3orMNKLaqXtBkBPexv3kNbnit751JoisztnrN0QXErePRunoV9KCEAISoaFyAb2\nCVKNV1IINN0TneGi/U2r3PY/63VjSLw0Aptg7LOGbB5aG6yxqD26ev84F8Vo0hLWeCg75dfB6zmz\n1ksIzhI0BpUPUs83/Ft7rNx/+AiN10IDrlklTekazfWofV1gSo0oLIk/x9ahSx6AenUT2MIzXEHO\n/uGOVVn1QIhnYYUbSsaxzxPsG2NAaC1IGzo6XfSmz/rxyU1EUF8/FwIVF8gXEIQZ07PqA9duQwSf\nW4GMQ73LE3w5VqMeuU1KkVJiPSaRpUbEfIaIGBgKWtJAOCf1+GwMkZZWQmsF5lixNru38xhwLkdN\nte53JQiGtDcbtav7hQuAtm10Cs+wvZr2KXp9mmBTdobnXjo5iw8SSvD+cYvvt2SS91/OZSwjm6kV\nqpljIYTdCKgT7JVzSWOl1bUgBd5Q9BgaAQ9oiCLh008XvtCdM0ZVDSmFeI2YyJDbVpc7GiqrzW9j\n7bn253CcgAAd8Yw6J9KyfE8JARsY8y4BNfEnBHp7j+2yQp7EmN59W91aE1Zl1ROX8iy8BPg8EFlC\n20ylUiidorDqXow+RbinoLbi6ceum5OyiYXepBSMzZ1l1e24uWoKhwgspjOkNdMm8N4iGOcgArjf\npk7eRELOayYOsQTd3isTZ3PXr2kgnEpXkwrMPk9wv8m8xi4t+ULY043EFI50FL0hxVOK34QARF6O\nRlDXnd/73jHmbAlw2bO4EHVt2dRuNAqFd1jJyJBN2dRNCZYAvaKkCrCENLXCTwKbQWbyWZKFaV29\n9nNivhfatjTDcKMBD9qxHRtx8ohrp7pzPRTJM2NT+9Plnvw6ASOxekZNEOjki2GJpt5xV9zLpJNj\nn+vZO1GyATfP7tg1unQ15Z26KqsrFgGdUCprFMZ6wVxqQyGAl07MOAcF8G6ft3G7rXXsStdOqW17\nng8+45TWzJeGPE3w9X3u7E2kZFyYlXXSbnG6btVAKBWYN9sMqadHWOeZCBG4zmCgvQ3b1VnR+6Uc\niNUAIo81GVFC6M26TKJTt0f1/C5W3K8GIYC2zNccRqEpXhATJDOF9RIsGYy8kv4ndF55SQ3sGCG7\nLMFzwfD1/ab9zSULrA3DU0Ob8nXqufSjztvV6Omh7cz0Pqid7AYacIQ56qivdkMuF6ItG6ZnAdsN\nMN2Xlvh7SCaaKWf2fJCywaGosM/77B1VMey82tMnP4Qtc34MvBfxqqwuBFO8ftcq7SLrO+6amqBT\ncatC6VTkaYKv7mpF1UU5mQIfqyal8WutThJYBidTQsAWm/YgHCHliGorcEO9NBx3DeXee2/y8DbM\nhVhdN7a2MJaCFI6Eo+fFcoxL4g0zxc0scLaO1cE9m1pn9VY8riqYTOQydeE6UxKnP8eUkF64isn7\n2XlWLb8JgaJigBC4y5PWy6MMOPp9dZ0B6SEDPKm93iPyO0dHHR47tmcwWjp9yOBZnQpJfS1KDsHt\n1NeWeSXMBl3bLKqPhOmZq0NrOoPOJZGnFO/f7vB0qvD+cTcPqwP9ve0qVHSsyuqKQMgsnWlT33FW\n6moIddTy0p17i/dNsLTUWOhk4crgwl/Vk+BjuNHFnwHnz83S7+dLA2voYSHx1TrPBDAP06GOHzIL\nYuq/1aNsSnhnODGP2HtfX8jS1U0V5+LiGdStBgqHPoaMjDHv5xh7I6EUIASHkrUG7Kpg7bqZEms6\ntUZrSKmkul/PE9Alxxv34sZ9gzkzdBW/SLDiMdKZzvXiGrNaMbvXtM68DdxtxxPX1XHYAIf+WkvG\ncSwZHqpMUXg7pUzGYttDuWewxHggo/rShbGZcaM0YAdNnSifvmtvVVZvGNc0rJWMY5MmeNimYHxh\nWToN83KpWImQfi6dZdUFlBKARe5/7HePATp5rF6yRtvAFH9mOm7FZcB4WAZUoAslUGtfzkbMd6Dz\n1sOpY2gB9CjlutPHPKuuHuMh2rlY2FJmXLRJzKbgktc19KyaZG6bZ1U5FVlSx2jvsgQP2wwCAs8F\nm80TM0pHVK5mdo9X05XMP3GXJ2Bc4Kv73HiKz3JZ2HIfhe497pKRWXpNT2Vt5FCrQkhkCQWIwPOp\nwjbNjUw0yfCoY07F2QIuKo5vfziAcYHKkiuEkG4/1nd03VJ6pvrITue67MPNvuCSYEm/f+g78H0m\nF6JdrABwUztSltB2Q56LunqrZUdiDvuawlkM4SsGTNdO1t2rhzHG9pKzAEvMtc69kjtNHIRKjQw1\nEITETbrASGUzeJ6GBe9VgdN0bSrtsj5P5yFefoKlYakewPxOYoGlWZzgydQBujVsW8uUkPOYVV2y\nOiVm9bwftL9xUcsB99tUm+QlZHZM6zVUNvDbB/zbrxgHhMBeR4U+az+M6jW1BEzdt2xrrK/A9tvz\n+/uH2rcOJeNIE4I3+8w4f3lK8f5xh588bq2MPtmfzAas64uLOpGh2pc6NzUNWHpa9egUYjfvYmzY\nkkwaqc8ei0e20NGAp6PiovWeu2L1rK4IwiWpq1Ms8ONfXhhLGIMjklbgidfmmCLg09XqKaxB25fI\nGE3vOvMV4g98CbdWILwEVCfs9YXaOGUDBn9rbpBOQeGi71klqAW8Q4Hz7K8DJXc4DVbrPDnvGwin\nktqgtkcGn2c/GCCV2muV+9LBZSSUAqJq6NoOClBdBqR/RJ8y2bQr3xvDZEwTpkd7qsezMBS4nfu1\nHK/7KU9rKvTTiY0a8edaLbYQqPrfZtq/tr0JYVi6Z9/WWpZQbNOkjRXNEqplDCWU4C45p76qkOdR\nQsA1Bp8soRAQOJYceVONwjQ+s3dwuuFAB1m+0UW2VuNqzcdMG2dXw3eaQk5Ik4jtwwFcoFFW3R7K\nVVldEYxbS4jUJQKZV6hYkMwyCZR28TcpjXOvY07NQhy/V4cpZvX8uO6Fcw0s4bm49BBCvdlyrrgY\nL9o+FTZjgjD8mwCoGsrjLkvwdKq67K+KJ01Y2p5yXUti3UjvZBQa8OQW3EGVxGx240HzD41UrE38\nMziftwJ9vKvTJgmzXMPc5UXkeDZZgvePW2SUIE2oNaEdIU38pRhPUmky4OjGsATovJEuSa50TpBj\nyXrny3bHjNVcsyaFsp9mCcFP3myRJxRv97l2/odlW8RgP+55iwMYEDoUFcc//8MXcCGwSZLRfDDC\nwOrQZZT3xZliarlG156kB1uyD1xfBLejaawwYkF7VFRMssRq6UyXwUu5H6wRRv/m8wnf/vDsRdm4\nBK6tfC0Fcq1LodBUIuAWPNGdd+t6Y41rUJnWWk9BJBMSosj2PE8f0vhUgZMJgW1K8bah7MlSY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Lk/Jvw6qsroiOa9NsTQJvqdDzPh/d4iJDEFOgklb+osqwu/HsqGPz8hIUlWvBlABixeURy/Ay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\nSpPV7UBb2pltONnGBF0l12RNSLp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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "Wy4-4lYr_gns", "colab_type": "code", "outputId": "b1a27798-938e-4f0d-dc45-adcd190f9b8b", "colab": { "base_uri": "https://localhost:8080/", "height": 255 } }, "source": [ "# manually check D can indeed discriminate between real and fake data\n", "\n", "print(D.forward(generate_random((100,100))).item())\n", "print(D.forward(generate_random((100,100))).item())\n", "print(D.forward(generate_random((100,100))).item())\n", "print(D.forward(generate_random((100,100))).item())\n", "print(\"\")\n", "print(D.forward(generate_real(-5, 0, 1, 1)).item())\n", "print(D.forward(generate_real(-5, 0, 1, 1)).item())\n", "print(D.forward(generate_real(-5, 0, 1, 1)).item())\n", "print(D.forward(generate_real(-5, 0, 1, 1)).item())\n", "print(\"\")\n", "print(D.forward(generate_real(5, 0, 1, 1)).item())\n", "print(D.forward(generate_real(5, 0, 1, 1)).item())\n", "print(D.forward(generate_real(5, 0, 1, 1)).item())\n", "print(D.forward(generate_real(5, 0, 1, 1)).item())\n" ], "execution_count": 116, "outputs": [ { "output_type": "stream", "text": [ "0.9238060712814331\n", "0.8475555181503296\n", "0.321616530418396\n", "0.6430159211158752\n", "\n", "0.9998844861984253\n", "0.9998902082443237\n", "0.9998961687088013\n", "0.9998949766159058\n", "\n", "0.9999014139175415\n", "0.9998959302902222\n", "0.9998929500579834\n", "0.9998993873596191\n" ], "name": "stdout" } ] }, { "cell_type": "code", "metadata": { "id": "KhGsInVD_gnu", "colab_type": "code", "colab": {} }, "source": [ "# generator class\n", "\n", "class Generator(nn.Module):\n", " \n", " def __init__(self):\n", " # initialise parent pytorch class\n", " super().__init__()\n", " \n", " # define neural network layers\n", " self.model = nn.Sequential(\n", " View((1,100)),\n", " \n", " nn.Linear(100, 500),\n", " #nn.Sigmoid(),\n", " nn.LeakyReLU(0.2),\n", " \n", " nn.LayerNorm(500),\n", " \n", " nn.Linear(500, 10000),\n", " nn.Sigmoid(),\n", " \n", " View((100,100))\n", " )\n", " \n", " # create error function\n", " self.error_function = torch.nn.BCELoss()\n", "\n", " # create optimiser, using simple stochastic gradient descent\n", " self.optimiser = torch.optim.Adam(self.parameters(), lr=0.0001)\n", " \n", " # counter and accumulator for progress\n", " self.counter = 0;\n", " self.progress = []\n", " pass\n", " \n", " \n", " def forward(self, inputs):\n", " # simply run model\n", " return self.model(inputs)\n", " \n", " \n", " def train(self, D, inputs, targets):\n", " # calculate the output of the network\n", " g_output = self.forward(inputs)\n", " \n", " # pass onto Discriminator\n", " d_output = D.forward(g_output)\n", " \n", " # calculate error\n", " loss = D.error_function(d_output, targets)\n", " \n", " # increase counter and accumulate error every 10\n", " self.counter += 1;\n", " if (self.counter % 10 == 0):\n", " self.progress.append(loss.item())\n", " pass\n", " if (self.counter % 100 == 0):\n", " print(\"counter = \", self.counter)\n", " pass\n", "\n", " # zero gradients, perform a backward pass, and update the weights.\n", " self.optimiser.zero_grad()\n", " loss.backward()\n", " self.optimiser.step()\n", " pass\n", " \n", " \n", " def save(self, path):\n", " torch.save(self.state_dict(), path)\n", " pass\n", " \n", " \n", " def load(self, path):\n", " self.load_state_dict(torch.load(path))\n", " #self.eval()\n", " pass\n", " \n", " \n", " def plot_images(self):\n", " # plot a 3 column, 2 row array of sample images\n", " f, axarr = plt.subplots(2,3, figsize=(16,8))\n", " for i in range(2):\n", " for j in range(3):\n", " axarr[i,j].imshow(G.forward(generate_random((10,10))).detach().cpu().numpy(), interpolation='none', cmap='Blues')\n", " pass\n", " pass\n", " pass\n", " \n", " def plot_progress(self):\n", " df = pandas.DataFrame(self.progress, columns=['loss'])\n", " df.plot(ylim=(0, 2.0), figsize=(16,8), alpha=0.1, marker='.', grid=True, yticks=(0, 0.25, 0.5))\n", " pass\n", " \n", " pass" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "qdSEqjS50zhK", "colab_type": "code", "outputId": "d0a6cb6a-6142-4d84-ad90-5dc9f7732e48", "colab": { "base_uri": "https://localhost:8080/", "height": 520 } }, "source": [ "# scratch\n", "\n", "G = Generator()\n", "\n", "print(G(generate_random(100).view(10, 10)).shape)\n", "\n", "plt.figure(figsize = (16,8))\n", " \n", "plt.imshow(G.forward(generate_random((10,10))).detach().cpu().numpy(), \n", " interpolation='none',\n", " cmap='Blues')" ], "execution_count": 102, "outputs": [ { "output_type": "stream", "text": [ "torch.Size([100, 100])\n" ], "name": "stdout" }, { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": { "tags": [] }, "execution_count": 102 }, { "output_type": "display_data", "data": { "image/png": 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yxX11KN7jkDix4iAnEchi8Mv5eg7uqV+G4g3H9eveXZ0TGDIv81pxSmi4LpLV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\nj+/Hus66PVKLW7qNNb8qVVkT6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" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "Cc1l6k4B02Of", "colab_type": "code", "colab": {} }, "source": [ "# create Discriminator and Generator\n", "\n", "D = Discriminator()\n", "G = Generator()" ], "execution_count": 0, "outputs": [] }, { "cell_type": "code", "metadata": { "id": "liK6rX7n_gnv", "colab_type": "code", "outputId": "b240f18b-edff-427a-cde9-e11d0444aaca", "colab": { "base_uri": "https://localhost:8080/", "height": 1411 } }, "source": [ "%%time \n", "\n", "# train Discriminator and Generator\n", "\n", "sign = 1\n", "\n", "for i in range(8000):\n", " \n", " # train discriminator on real data\n", " D.train(generate_real(5 * sign, 0, 1, 1),\n", " torch.FloatTensor([1.0]).view(1,1))\n", " \n", " # train discriminator on false\n", " # use detach() so only D is updated, not G\n", " # label softening doesn't apply to 0 labels\n", " D.train(G.forward(generate_random((10,10))).detach(),\n", " torch.FloatTensor([0.0]).view(1,1))\n", "\n", " # train generator\n", " G.train(D, generate_random((10,10)),\n", " torch.FloatTensor([1.0]).view(1,1))\n", " \n", " # flip sign\n", " sign *= -1\n", "\n", " pass\n" ], "execution_count": 117, "outputs": [ { "output_type": "stream", "text": [ "counter = 2100\n", "counter = 2200\n", "counter = 2300\n", "counter = 2400\n", "counter = 2500\n", "counter = 2600\n", "counter = 2700\n", "counter = 2800\n", "counter = 2900\n", "counter = 3000\n", "counter = 3100\n", "counter = 3200\n", "counter = 3300\n", "counter = 3400\n", "counter = 3500\n", "counter = 3600\n", "counter = 3700\n", "counter = 3800\n", "counter = 3900\n", "counter = 4000\n", "counter = 4100\n", "counter = 4200\n", "counter = 4300\n", "counter = 4400\n", "counter = 4500\n", "counter = 4600\n", "counter = 4700\n", "counter = 4800\n", "counter = 4900\n", "counter = 5000\n", "counter = 5100\n", "counter = 5200\n", "counter = 5300\n", "counter = 5400\n", "counter = 5500\n", "counter = 5600\n", "counter = 5700\n", "counter = 5800\n", "counter = 5900\n", "counter = 6000\n", "counter = 6100\n", "counter = 6200\n", "counter = 6300\n", "counter = 6400\n", "counter = 6500\n", "counter = 6600\n", "counter = 6700\n", "counter = 6800\n", "counter = 6900\n", "counter = 7000\n", "counter = 7100\n", "counter = 7200\n", "counter = 7300\n", "counter = 7400\n", "counter = 7500\n", "counter = 7600\n", "counter = 7700\n", "counter = 7800\n", "counter = 7900\n", "counter = 8000\n", "counter = 8100\n", "counter = 8200\n", "counter = 8300\n", "counter = 8400\n", "counter = 8500\n", "counter = 8600\n", "counter = 8700\n", "counter = 8800\n", "counter = 8900\n", "counter = 9000\n", "counter = 9100\n", "counter = 9200\n", "counter = 9300\n", "counter = 9400\n", "counter = 9500\n", "counter = 9600\n", "counter = 9700\n", "counter = 9800\n", "counter = 9900\n", "counter = 10000\n", "CPU times: user 10min 43s, sys: 9.16 s, total: 10min 52s\n", "Wall time: 10min 53s\n" ], "name": "stdout" } ] }, { "cell_type": "code", "metadata": { "id": "qMrud1CH_gnw", "colab_type": "code", "outputId": "ed570e3a-c5d7-420c-9e31-bff313f3f75b", "colab": { "base_uri": "https://localhost:8080/", "height": 503 } }, "source": [ "# plot discriminator error\n", "\n", "#D.plot_progress()\n", "\n", "df = pandas.DataFrame(D.progress, columns=['loss'])\n", "df.plot(figsize=(16,8), alpha=0.1, marker='.', grid=True)" ], "execution_count": 122, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": { "tags": [] }, "execution_count": 122 }, { "output_type": "display_data", "data": { "image/png": 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zP25fqZfeddqo1FmbO2lm7zVJJvO2cb0/K0czr5PV8axtLZnVx9ok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\nJA3P4lWSJEmSNDyLV0mSJEnS8P4G3PI89sKLaz8AAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "-DK5R2M6_gnz", "colab_type": "code", "outputId": "bc4f95b1-3d80-4c2f-8638-b7b541607199", "colab": { "base_uri": "https://localhost:8080/", "height": 503 } }, "source": [ "# plot generator error\n", "\n", "#G.plot_progress()\n", "\n", "df = pandas.DataFrame(G.progress, columns=['loss'])\n", "df.plot(figsize=(16,8), alpha=0.1, marker='.', grid=True)" ], "execution_count": 123, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": { "tags": [] }, "execution_count": 123 }, { "output_type": "display_data", "data": { "image/png": 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R0Sun0AbPhgX2u0kjYHPIC4PuTOaymTE8TXAaK4leGm0lsJ01m5l0LoxbmXa7dUvSl6Xx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QuKoHXjf9jtBdkk8hSCymmlW6XM7efiLZxe7GWotbmWyFHk8+cmwnhVU17a3Udbh1/OZng/rnA2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\nBFEAO6UMk9PD41470te9sD8ycM76GMvE8i0AAGCbEEQBYIx1BM5xiKEAA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"text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "3BNW-iRe_gn1", "colab_type": "code", "outputId": "a67296e5-a506-48cd-b1b8-af52cb21f69a", "colab": { "base_uri": "https://localhost:8080/", "height": 486 } }, "source": [ "# show generator output\n", "\n", "G.plot_images()" ], "execution_count": 124, "outputs": [ { "output_type": "display_data", "data": { "image/png": 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UK4ZVse5Jb/qP4rlnHTXVze8K8599HPD4PYqaWRF2tP0SpW608LWnA/CnC04AYFZv8b3g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\nwFgn1UMzKf5iYAA4LSKuiohTImITYJu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"text/plain": [ "
" ] }, "metadata": { "tags": [] } } ] }, { "cell_type": "code", "metadata": { "id": "Bw_UbWvP_gn3", "colab_type": "code", "outputId": "0503c5b7-4401-4af1-e333-3f46b505d349", "colab": { "base_uri": "https://localhost:8080/", "height": 503 } }, "source": [ "## expts\n", "\n", "seed = torch.zeros(100)\n", "seed[random.randint(0,99)] = 1\n", "\n", "plt.figure(figsize = (16,8))\n", "plt.imshow(G.forward(seed.view(10,10)).detach().cpu().numpy(), \n", " interpolation='none',\n", " cmap='Blues')" ], "execution_count": 125, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": { "tags": [] }, "execution_count": 125 }, { "output_type": "display_data", "data": { "image/png": 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