diff --git a/HW01/task_1.ipynb b/HW01/task_1.ipynb new file mode 100644 index 0000000..35a9ba9 --- /dev/null +++ b/HW01/task_1.ipynb @@ -0,0 +1,453 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Assignment: Optimization methods" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Soft deadline: 16.09.18 at 23.59\n", + "\n", + "Hard deadline: 18.09.18 at 23.59" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Task\n", + "\n", + "Implement different optimization methods wihout using `autograd` or `torch.optim`. You are only allowed to use pytorch as yur numeric computation framework. The only exception is `visualize` function" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "\n", + "import torch\n", + "import random\n", + "from IPython import display\n", + "from sklearn import datasets, preprocessing" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1024, 2) (1024,)\n", + "(830, 2) (830,)\n" + ] + }, + { + "data": { + "image/png": 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9He7sn42weSrww0hITKSkgXxlQo0iWmgUKUJKSopce3Z2Nr6+vjRqbIddEwfW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\ndsjgwfy6fh0kXeP8Hxv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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "(X, y) = datasets.make_circles(n_samples=1024, shuffle=True, noise=0.2, factor=0.4)\n", + "print(X.shape, y.shape)\n", + "ind = (y==1) | (X[:,1] > X[:,0] - 0.5)\n", + "\n", + "X = X[ind,:]\n", + "X = preprocessing.scale(X)\n", + "y = y[ind]\n", + "print(X.shape, y.shape)\n", + "y = 2*y - 1\n", + "plt.scatter(X[:, 0], X[:, 1], c=y, cmap=plt.cm.Paired, edgecolors='black')\n", + "plt.show()\n", + "\n", + "X, y = torch.FloatTensor(X), torch.FloatTensor(y)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "\n", + "h = 0.01\n", + "x_min, x_max = X[:, 0].min() - 1, X[:, 0].max() + 1\n", + "y_min, y_max = X[:, 1].min() - 1, X[:, 1].max() + 1\n", + "xx, yy = np.meshgrid(np.arange(x_min, x_max, h), np.arange(y_min, y_max, h))\n", + "def visualize(X, y, w, loss, n_iter): \n", + " plt.clf()\n", + " xy = torch.Tensor(np.c_[xx.ravel(), yy.ravel()])\n", + " Z = classify(xy, w)\n", + " \n", + " Z = Z.numpy()\n", + " Z = Z.reshape(xx.shape)\n", + " plt.subplot(1,2,1)\n", + " plt.contourf(xx, yy, Z, cmap=plt.cm.Paired, alpha=0.8)\n", + " plt.scatter(X[:, 0], X[:, 1], c=y, cmap=plt.cm.Paired, edgecolors='black')\n", + " plt.xlim(xx.min(), xx.max())\n", + " plt.ylim(yy.min(), yy.max())\n", + " plt.subplot(1,2,2)\n", + " plt.plot(loss)\n", + " plt.grid()\n", + " ymin, ymax = plt.ylim()\n", + " plt.ylim(0, ymax)\n", + " display.clear_output(wait=True)\n", + " display.display(plt.gcf())" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Your task starts here**\n", + "\n", + "First, let's write a function that predicts class for given X.\n", + "\n", + "Since the problem above isn't linearly separable, we add quadratic features to the classifier. This transformation is implemented in the __expand__ function.\n", + "\n", + "__Don't forget to expand X inside classify and other functions__\n", + "\n", + "Sample classification should not be much harder than computation of sign of dot product." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "def expand(X):\n", + " prod = X[:,0] * X[:,1]\n", + " prod = prod.unsqueeze(1)\n", + " oness = torch.ones_like(X[:, 0])\n", + " oness = oness.unsqueeze(1)\n", + " res = torch.cat([X, X ** 2, prod, oness], dim=1)\n", + " return torch.FloatTensor(res)\n", + "\n", + "def classify(X, w):\n", + " \"\"\"\n", + " Given feature matrix X [n_samples,2] and weight vector w [6],\n", + " return an array of +1 or -1 predictions\n", + " \"\"\"\n", + " # Your code here\n", + " return torch.where(expand(X).mm(w.unsqueeze(1)) > 0,\n", + " torch.ones(X.shape[0]).unsqueeze(1),\n", + " -torch.ones(X.shape[0]).unsqueeze(1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The loss you should try to minimize is the Hinge Loss:\n", + "\n", + "$$ L = {1 \\over N} \\sum_{i=1}^N max(0,1-y_i \\cdot w^T x_i) $$\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "def compute_loss(X, y, w):\n", + " \"\"\"\n", + " Given feature matrix X [n_samples,2], target vector [n_samples] of +1/-1,\n", + " and weight vector w [6], compute scalar loss function using formula above.\n", + " \"\"\"\n", + "\n", + " return torch.sum(\n", + " torch.max(input=1 - y * w.unsqueeze(0).mm(expand(X).t()), other=torch.zeros_like(y))\n", + " ) / y.shape[0]\n", + "\n", + "\n", + "def compute_grad(X, y, w):\n", + " \"\"\"\n", + " Given feature matrix X [n_samples,2], target vector [n_samples] of +1/-1,\n", + " and weight vector w [6], compute vector [6] of derivatives of L over each weights.\n", + " \"\"\"\n", + "\n", + " mask = 1 - y * w.unsqueeze(0).mm(expand(X).t()) > 0\n", + " mask = mask.type(torch.FloatTensor)\n", + " return -torch.sum(mask*y*expand(X).t(), dim=1) / y.shape[0]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Training\n", + "Find an optimal learning rate for gradient descent for given batch size. \n", + "\n", + "You can see the example of correct output below this cell before you run it.\n", + "\n", + "**Don't change the batch size!**" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Zk2jafSCKohAVEc4y39GoGg3PnwYnuSfsRSjGr7aX8yhSEo8iJRO9r9FouHn5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PGoFVtjft1IMLJ4/+qTH3b93A0E5NeL1/d55rF8NHE8dg0Ov+htXC9fgLRDVtjeye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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w = torch.Tensor([1, 0, 0, 0, 0, 0])\n", + "\n", + "alpha = 0.2\n", + "\n", + "n_iter = 50\n", + "batch_size = 4\n", + "loss = np.zeros(n_iter)\n", + "plt.figure(figsize=(12,5))\n", + "for i in range(n_iter):\n", + " ind = random.sample(range(X.shape[0]), batch_size)\n", + " loss[i] = compute_loss(X, y, w)\n", + " visualize(X[ind,:], y[ind], w, loss, n_iter)\n", + " \n", + " w = w - alpha * compute_grad(X[ind,:], y[ind], w)\n", + "\n", + "visualize(X, y, w, loss, n_iter)\n", + "plt.clf()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Implement gradient descent with momentum and test it's performance for different learning rate and momentum values." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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UhDW/ziMpMQE9fQMgJYg98+deGrXt+LbH/Wshjx4QGRZK0QrVUl2v1LAl0/t3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NS2f5evI7BIbXxGQyVUi0efkFolSpad7tBeaMGoSTuyeakhKK8nOJbN4WG2cPlsyeSt3GLZjY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\nJ6LE9Xf+nduv6M+KLz7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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w = torch.Tensor([1, 0, 0, 0, 0, 0])\n", + "\n", + "alpha = 0.2\n", + "mu = 0.001\n", + "\n", + "v = torch.zeros_like(w)\n", + "\n", + "n_iter = 50\n", + "batch_size = 4\n", + "loss = np.zeros(n_iter)\n", + "plt.figure(figsize=(12,5))\n", + "for i in range(n_iter):\n", + " ind = random.sample(range(X.shape[0]), batch_size)\n", + " loss[i] = compute_loss(X, y, w)\n", + " visualize(X[ind,:], y[ind], w, loss, n_iter)\n", + " \n", + " v = mu * v - alpha * compute_grad(X[ind,:], y[ind], w)\n", + " w += v\n", + "\n", + "visualize(X, y, w, loss, n_iter)\n", + "plt.clf()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Same task but for Nesterov's accelerated gradient:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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RkxjVvS2XTh7BKY8HZ/7aS/ijB3Rdsv5ThC/E/50A3BRFcSE1GW4OtPxnI0VRPABL4Oin\nDe/tKYpC+7IuTNh+hQV/BckDd0KIj06SYvFJKYqCZ7GSeBZLd5tjpvGtWZ8ti+eQv3hpdPX0Adi3\nfhnZnXNTtmZDBndoyoJth974cFu+wsWYvX4vu9atIPTWVXxr1MG3Vv037kMW4mNQVTVJUZQewE5A\nG/hNVdWLiqKMBk6qqrrpRdPmwAr1M1+C/a58bs4HRzB++2Xc7U3/9XhoIYT4UJIUCwHUataWwFPH\n6FuvHIXK+PIo5B4P7wYxcNYfOLjk4fyRAA7v3kae/AXZtmopj+6H4OFVFL/GrTR1hK1t7WnRJXP3\nRguhquo2YNs/ro34x8ejPmVM70tRFCY39uLW42h6Lj/Dph4+5LI2zuywhBBZlOwpFgLQ0dVl6LT5\nlChfiSf3g6ncqBVTNhzA4cXhFU5u+Th95CA/tGmAlr4xxavU5vqVy/RsUoOwx48yOXohsi5jfR3m\ntykOQOclp4iOT8rkiIQQWZWsFIssJ/p5JLvWr+DWlUtkd8pJ9UatsLZNPSY5ISGedb/P5cD2jSQl\nJVGmcg1qt2jHxqUL+GvnFhIT4kHRwrNkWc02ipSUFM4fCSDqWRjdxk6nUOkKAJSqVoclk0exasEv\ndBk8JrOmK0SWl9PaiFkti9L2t2P0W3WOOa2LasofCiFERpGkWHx2kpOT0dLSSveb3tNHDzl1aB+6\nevp4+1bF2MQ0zeuPQ+/zQ5v65M7vhWfJcgRdPk+3BpUZMHEmphYWLJ4xiRQUvhk0Dh1dXXYs+41u\nDatQqFQF+vn/BorChgUzGNi4Ch1HTCLi8UNOHdyDoaEhEU+TcS/szakDu0lJTqKAd1nK123CnGG9\nPtVbI8RXq6ybDUNq5mPs1svM3HeDnpXdMjskIUQWI0mx+GzcunKRXyf/yLljhzEwNKJKvaa07zsE\nA6PUPYQb/1jIkhmT8CpTgYS4WGaPHcKASbMoUb6ypo+lM3+mZNU6NO85CEg9otklXyHG9e2MmaU1\ncTExzNh6FB1dXQC6jvFnaKuaFKtQFUdXdwC6j/uFgU2qMK1fJ+yccvE09D6+Netz6+pFetUuhZOr\nBzq6uswf3Z9KDVthYmr2id8pIb5OHcq6cPF+JFN2X6O0qzXFna0yOyQhRBYiSbH4LDwOvc/gDs1o\n3LUf309ZyPOIcJZPH8eE/t0YNWsxQdcus3yuPz8t30G2HI4AXD9/mknff8OiPSc0K8YnDu5l5G/r\n0vRdrnZjFk8aQcX6LXjyIFiTEEPqgzwlq9Ti1qXzlKpWR3OtmG81FEWhafcBPI8I5+fvvwGgz+T5\neBRNrZxx9/plRrarT8t3eLgu6Nplnj58QJ78BbGwfr8n6a+cO82+LWtJjI+nVMVqlKhQJU19ZSGy\nKkVRGNfAkx2BoWw8e1+SYiFEhpLvpOKzsHXFEryr1KJyo9bo6RtgbZedLj9O49qFs9y9eY2Aresp\nX7epJiEGcCtUlDwFi9K3ZR3aVS3JgG8akRAXy5iOTZjYow0Xjx8GIC42GkVRsMnuQPCta6+NfevS\neaztHdJcC7p8gRzOqQ/ZmVpY4lmqPPmKltIkxAA53fJRtmZDUt6iqlXE08f80KY+w7u0ZuXCOXTw\nK8si//HvfCjB6gWzGPN9BwzMrbHJlYff/MczeVBPOdxAfDWM9HTwyWPDviuP5N+9ECJDSVIsPgun\njx7EvUiJNNd0dHVxdHUnOOgmifHx6db81dLWIbdnEfrPXEqxSjVBUWjZZyg+fg2YNawXJ/btYM2c\nKZSo5EeJSjUIe/iAzYtnk5gQT0pyMgc2reL80QM8j3hKQlwsCXGxbPxtJg/u3MS7sp9mHD19A0wt\nX1+VMreyIS4m+j/nN3VoX3Ll88J/02EGz1nGlA0HOLp/FwFbXx7u8fhBCNcCzxIXG5NuH08ePmDl\nr78weskm6nfoiV/LDvy4eBM3LgVy+siB/4xBiKyicj5bQiJiufYwKrNDEUJkIR+8fUJRFCdgCWAH\nqMB8VVWnf2i/4uvyKOQul08epUz1epprCfFxXA88Q07X8ZiYmTN1WF9qtOyg2WP85EEIl08dZfLa\nfVhmsyd7Thf0DAw4sHEVg2b9gamlFb8M6o6tgxND5i5HR1ePbuNmMHNwT9bO80dPTx8H59wMmTqP\nzcsX0blSIRQUjExMqdehJ3qvHNQRHxfH6QO7iQwPw+xFchwXG8PhHevpP37Gv84t7PEjLp05wcwJ\ns9HS1gbAzNKahp37sH31EoqXq8TkQb24cu4kVrbZeRoaQuse/anXukOafk4fDqBQmQpYZrPXXNPT\nN6BsrUYcC9hNMR/fD/ocCPGlqOhuC8DeKw9xtzf9j9ZCCPF2MmJPcRLQT1XV04qimAKnFEXZrarq\npQzoW3wlYqOjORWwGzsnZyrUbUZk2BOWz/iJlKQk7B1z4uCcm6JlyjO0pR/l6jQhPjaGXasW07hL\nvzRJYuGylfhzWmp5tEKlKxAXE0XE08fsWrWEUwE7Cb0bBCjYOTjRecAoSpSvBEBJ36rERqeu+F6/\neI6xvTsSFxONa4HCXDxxmP3rl1Herx4jv6lLlSZt0NHVY9/aP/Hy9qFAUe9056SqKqcOB7B7wyp0\n9fVfOybawsaOqMgIpg7tjXk2e2ZsO4aevgEP7gYxqUcbsjvlwrtCFU17A0MjYp5HvjZO9PNnGMrJ\neeIrYm9uQIEcZuy/8ohuvnkyOxwhRBbxwUmxqqoPgAcv/v5cUZTLgAMgSbF4a+6FilKgVAVuXDjD\nuvn+GBqb4FHEmxy5XDQPxvUcOZHzJ47w976d6Orooq2lReGyldL0c+/6FWyyp+47Drl1DXPrbAyc\nOJOxfTpRt113arTsgJa2Nn/v3szPg3sxb3MAFlY2ABgap65AF/Iuw8RFa9n4xwI2Hj1Abvf8TFu2\nhRy5XDh3/DAHtm0kOTmJjj8Mw7tClTSl40KD77B99Z88uh/Cg3t3iHwWQYX6zTh95CBXTh9Lsyf5\n0Na15C9cnIBtG5i5/bgmac6e04UGnXuzZcWSNEmxd4UqzBwzmIvHD1PA2yd1vLtBHNi4komL1mT0\np0SIz1plD1tm7r9BeHQClsZ6mR2OECILyNDqE4qiOANFgGPpvNYZ6Axg+8rDUuLLpKoqNy8HEhsd\nRd6ChdF/ZavB+2jbawCje7anYefeNO7Sl+sXzrB61iT6jpumaaMoCl7ePni9SAgNjYz49cd+dBv7\nCzbZHQi5dZ1FE4dRt30PHoXcZf7o/jRo24nYmGgcc7tT+5sumr7KVK/H+SMB7Nu0hobtuvwzHFzy\n5qP36CmvXX91/H86f/wIY3t3pFztxuQtXobw8HAiwsOoUKcJ9o7OTO3XkerN2+OUx50Te7dz69I5\neo/+mTPHDqfZqgFg55iLiKeP01wzMDJmqP+v/NSnM46u7hgYGnH5zHE69R+Bs5vHW7/XQmQFlfLZ\nMWPfDQ5ef0y9wg7/fYMQQvyHDEuKFUUxAdYCvVVVfe13vKqqzgfmA+T19JJHhr9gwUE3Gdu7E3Gx\nMZhaWBJ67zZdBo+hct3G792nZ7GSjJn3B6sXzmbPqsU4urgyzP9XPIuXeuM9tZq3IzjoJgObVsXQ\nyIj4+DhUVWXlLxNISkygXuuONG7fja0rFuOQ+/VC/w4ueXkS+uC9Y36VqqrMHDOYTiMmU6xCNQAq\n1G3K7+OHsun3WUQ9C8fYzIJLJ49yMmAnT0Pv49ekNfmKFCcqIpx7N67glOdlYnts91Y8i5V8bRwv\nbx+W7D3J6SMHSYyPY+CEGZo9zkJ8TQo5mGNjosfey48kKRZCZIgMSYoVRdElNSH+U1XVdf/VXnyZ\nnkeEs3fzWpbNmUYx32q0GzgWXT097l6/zIRurXB288A1n+d79+9esAjD/H/91zbRUc85uH0TB7Zv\n5Or50zi7F8DY1AxrWzuG+f+KhXU2IsKeYG5ljd6LY5rdCxVh9cLZJCUmoKOb+mtWVVU589ceGrbp\n8G/DvbUnofd5FvaUouWrprlesUELpvbtiK6BARNX7tKsCD8Le8KAxpWo1aw13/YZwuRe31CvQy/s\nc7pwYt92zhzcjf+KbemOpW9gSOlK1TMkbiG+VFpaCr7utuy6GEpScgo62lJMSQjxYT74q4iSuqFy\nIXBZVdWpHx6S+FyoqsrB7RsZ1L4JHfx8+KZqSc6dPEaNlh0IvnmNsZ2bEhsdRU63fFRp0pad65Z/\n1HhuX7tMp1rl2Lb6T0LuBDF57T6GL1iD/+bDeBQvw9RhfdDV0yObfQ5NQgyQ17Mwbp5eTO7Vjosn\njnD9/GlmDe1JSlIipV8pu/Yh9A0MSUyIJyEuLs3158/CSU5JpmzNBmm2SJhb2VC0XBVOHT5AjcYt\n6T9hBldPHmb9vCmYm5owfeV2rG3tMiQ2IbKqyh62RMYlcfpuRGaHIoTIAjJipdgHaANcUBTl7Itr\nQ1RVTX+ZS3wxls+dxr4tG2jUpS9r5k7lmwGjKVe7EQD12vfgl8Hd2bp0Po279MXKLjvXgoM+ajzT\nRvxAo+/6cjJgF1WbtcPKNjsAWtraNPquDz1qePMw5B52Dk6v3Tv45zls+nMhq34ZT1JiAmUq+/HD\n2Cno6mXMAzpB1y9jZmnFmrlTaNl7KIqiEBcTzXL/n1BTUnj29Mlr90RFRmD4orycV8myeJUsm+b1\nlJQUbl6+gKqq5MrjwfrF89i1fiUxUc8pUqY8tZq14cieHQRdu0yOXC7Ub90Bp3S2iaiqStDVS8RE\nR5HX0+u1KhhCfKnKutmgq62w98pDvF1kG5EQ4sNkRPWJQ4Dynw3FF+X5swjW/j6PSWv2kJKiEhn2\nBJ+aDTSvK4qCX8uO/PbTYBp914ejOzdSuVaDf+nxwzx9FErI7ZtUqNuUA5tWYWVrn+Z1HV09zCyt\niYp8lm5SrKOrS8N2XdJ9qO5DbV6+iJXzZ1CpUWsObVvHsb1byZErD7cunSNHTmdMzS04vH09Ftls\nqduuO1paWlw6eZRr504ydMqcdPu8dOYkEwd0JzExAVSV+Lg4nN3z023cDMytsrFp8WyGdGxBtaZt\nqdqiAzcDz9KvdT1G/PJ7mr3IwUE3GdenEzHR0ZiYWfAkNJiuQ8fhW7N+hr8PQnxqpga6eLtYsf/K\nIwb75cvscIQQX7gMrT4hso6gq5dwdM2LZTZ7Ip48IiUlmZTkZLS0Xu64SUqMJyE+nil92pMYF0ul\nOg3fe7zHD0I4uGMTcbGxeFeogluBQmleVxQtUFNXT/OXKMOhbevIX7z0y3gvXyA6MoKcrnnfO4b3\nERMdxWL/CYxesgn7nC7Ua9+D6+dPsXTKaMwsLNE3NqFex+9JTIhnzdyp7F3zJ9myO/Dgzk2GTvsV\nI2OT1/qMfh7J8C4t0dLSwdE1L8am5pw/egDPkuXInd8LgIhHD2narT81W3cCoLBPRXI4u7Jg8mj8\nV2wFIDk5mZHd2lCtRQeqNG6DoijcvhLIxB5tcM7jjnNeSSLEl6+iuy1jt17mXlgMTlZSr1sI8f7k\nyQSRLqtsdjwKuUtSYiIWNrbkdMvH7lWLNa8nJSaydr4/2tpalCxXkQm/rXrvX8sHbNtA1waVuXXj\nBuHPnjHsu1a0r1GGKUN6c+Xc6Rfx2JIzT172rfsTv5YduXrmOLOG9uLE/h1sXjyHyd+3o9OAkRm2\nHeJtXb94DgeXPNjndAFSV9DzehXH09sHRVubgb8spUi5ynhXrsmYJZtJTIjj9pVA5mzYT+FSZdPt\nM2DrBlJSVDqP/Jnhv66m79QFTN14kD1rlnLl9HGSEhO4dOpompV7AO/KNblx8TwJ8an7mgNPHkXP\nwIiqTdpqaik7e3hSqVErdq1b8RHfFSE+ncr5Uvfe77/6KJMjEUJ86WSlWKTL0cUVFzcP/vQfS/Me\ng+g0fBJjv2vG4e0bcPX04vzRAzjn8WDighVpEtG4mGgO7thEyO1b5PYoQJkqNf81UY2KfMYvowYy\nfMFqcrqlrlzW79CLQc2ro+ro8mPPb2nfdwhV6zejz9ipDOnQjLN/7aVgyfIc37uVa2dP4FXShx9n\nLcK9UNGP/r78k5mFFWGPQ0lJSSH45lXCHoXi7F6AmxfPUbZmQ82xzgD6hoaUqOjHzcAzHNu/C7+m\nrdPt8+qF09g5OlOswstKFla22anSuA0Te7YhOSkJQ2MTLp08SulqdTRtIp4+Rs/QUFNhIzIiHGv7\nHK/1b5PdkVtnj2fUWyBEpnJLBd6XAAAgAElEQVSxMSa3jTF7Lz+ibWnnzA5HCPEFk6RYvNGgn+cw\nbXhfetQogbGZOagqhUuUwjaHIzUbNMPDq2ia09we3LvDwHaNcHLLR+4CXmxasYTlc6czcfEazC2t\n0x3j9OEA3IuU0CTEAEamZlRt0panD+8zcOZSxndtQQW/eji55GHBtkMc2bOdxw9CqDxlDoW8fVAU\nheSkJHasWcZfOzejqio+VWtSo1FLtHVS/4lfOXeaQ7u2oGhpUa56bfJ6Fs6Q98jZzQMzCyv6N6pI\nQnw8OZxduRl4huTkJKyyvV494lHIHazsshMR9vqDd//n4OzKnaBbr103MbOgaPkqfDdqCvvXL2f+\njz+QO19B7JyciY+NZenPo6jWsLlmi0v+IiXwH/4Dz8KeYP7i1D5VVTmyYwPGRkb0bl4LUwsrajZt\nLSXexBetooctS/++Q0xCEkZ68m1NCPF+5KuHeCMzSytGzlxE+JPHRD1/Rg4nZ02SmZ4544ZRqXEb\n6rbrBqSu+C6aOJwlMybRc+TE9G9SFNSUlNcup6QkoygKOd3yYZnNnqCrl3AvVBR9A0Mq1k67d1lV\nVSYO6M7DB/fxa9URRVHYsWwhpw4FMHzGQhZPn8CeTWsoX6cpqprCqO7tqNWsDa269Xv/N0cTvoKl\ntQ25CxTmmwGj0dLW5nlEOKM7NuTE/h2UPlIPrzK+qKrKX1vXEnzzOvoG+rTs3PONffo1ac2y2VMJ\nvRuk2ZaRlJjI/o0rqN22C3r6BlRv/i03LpxmULNq5M5fiOBb1yjm40v7PkM0/Vjb2lO/TUfGdGxM\n7bZdMDa3IGDDCm5fCaS4bw2qt+pE2KNQ5k/6kbs3r9Gs05tjEuJzVtnDloWHgjh84ylV80spQyHE\n+5GkWPwnS5tsWNpk+9c2CQnxnDl6kK4/zdJcUxSFmq07Mbp9wzRJ8fOIcJKTk7CwzkaxshWZPrI/\nQZcv4JKvoOb1feuW0XWMP8lJSTx7+vhfj5G+fPYU1wLPMXH1HnRf1CcuUq4yg5tXZ9e6Fexct4IJ\nK3djamEJQLVm7RjYpAoV/Orj6OL6Xu9JSkoKG/9YwJYVS3h8P5h5+85rtkqYWljS8vthzBjUDf8B\n32FiZoGqqujo6GJubY2FpTVbVy7hj5k/k79ICeq2bo/Fi5VcADMLSzoNHMXIdvWp3KgVZlY27F37\nB9lz5ca70su6yu5FvNHT0aZG45Zkd8yV7vHpbXr2J2/Bwuxav5K4mGh0tbXx8qnId6N+1rTxKFqK\nQU2rUqtZW0zMzN/r/RAiMxV3tsJUX4d9Vx5KUiyEeG/yoJ3IEApK6jaG5KQ011MrVqQmiw9D7jGk\nY3O+qepNB7+yfN+8FueOHaZAkRKM+rY+P3Vpwa9jBtK/cSXK1KhHXq/irJ0/jdiYGHo19WNElzaE\nBt95bezzJ45QzLe6JiGG1BJtxXyrs2/LWkpXr6tJiCH14IySVWpxLGDXv84pKTGREwf3sn/LOp4+\nCiUhPo7HofdJSkxk3oQRBGzfTOOuP2BkaoaeQdqHDC1sbLG2z8H8vecpVbUOyUmJ6BsY4FGwMHeu\nX8HJoxBFK/lx+thhutSt+Npx07Wbf8PE31ejlZzIzbPHeR4eRs+fZqXZo3zpxBHcCxbBy9sn3YT4\n/0r6VmX49AWM+3U5ySkpafYhA1jbZSenmwc3L1/41/dDiM+Vno4W5fLasO/KI1RVzexwhBBfKEmK\nRYbQ1dOjRIUqbF40W3MtJSWFjb/9Qnm/OiQnJTGkYzPcipRk9u7TzN17FntnNyb174a1Yy7qtOtG\n6L0gLp08QnxsLFfPnqRbtaIc2b6Bccu2MW/feVwKFmXgt02Ij4tNM7aFlQ2P7997LaYnD4IxNjEj\n4R/tAWKin3N0704O7dpCclLSa6/funqJ9jVK88fsaezfsYWONcvSzMeTnk1q0LpiUXauWU4//98o\nUckPfUMjLh4/nOb+g5tX41W6Arr6+rTqM4xh81fzPCKcY/t302fqQm5dOs+6+f5ky+GEiYUlPZtU\n59H94DR95PYoQOeBoxg+YyEehYoya1gvgm9d4+nDB6yaPZlbl85RtX7TdD8fqqpy6cxJls/1Z8vy\nRUSGhwFgZWPLw3tpf7BITkriYfAdLKz//bcB4sugKEoNRVGuKopyQ1GUQW9o01RRlEuKolxUFGXZ\np47xYyjtasPDyHhCIl7//y6EEG9DkmKRYboNHcvpA7sY3aERS6f8yNCWfjy+d4fWPfpz4q99mFhY\nU699D/T0DYiJes6JfdsZt2w7bfqNonGXfkxavRdF0eK7kZMxMTPHzMqGaZsOYeeYi/DHoVSo25Ts\nuVw5tGtrmnHL1ajD1TPHOb53O6qqoqoqpw7s5uLxQ7Tu3o+/d28hJOiGpv29G1c4FbCLvMVKs2LB\nLIZ0akFCQrzm9ZSUFMb06kDjrv0Z+ft6ek+ex9QNBzG1sKJe+x607D0UY3MLzh7aj5aWFj5+9Zna\nryOr507h6M5NjPuuOXvXLSN/iTKaPu0cc/Es7AkGRsbcDDzL09AQ/DcdouvoaUxavZfKTdowbXjf\nN763Q/3n45LblUk92jCkRXWinoQyZekGjE3NXmubkpLC5EE9mTigO0/DIzhz4m861PTh3LFD1GrW\nlq1L53H7SiAASYkJrJo9mRy5XMiVx/29P/fi86AoijYwC/AD8gMtFEXJ/482bsBgwEdV1QJA708e\n6EdQ0CF1609gyLNMjkQI8aWSPcUiw1jb2jN3wz6OH9hDyJ1blBswksKly6GlpcWFk0exz+kMQEzU\nc7YsmYtHkRJkz5Vbc7+BkTEVGzRnzsg+WFjZUKpaXS78fZDfJwwjKTGBuJhozK2zcfNyIJXrNtbc\nZ2xiyo+zlzBpYA9W/jIeRUuLlORkRs5cRG6PAnw36EdGtatPwVLliImO4vq5U3QcPpEy1evRsNP3\nTOrVlp1rllGn5bdAaqUKHT29NHWAza2zUatNZ9b9Oh0rW3sS4mJZM/dnfPzqc2z3Vlr3HcHF44fY\nufw3rO2y45q/EL8M7kG7AaPxrd+ck/t3kKeAFw/u3ebQ1jU06zEIvVf2Sdf5pivdqy0k/MnjdPdv\n6xsY8m3foXzbd+h/fh4ObN/I7RvXmbhqt2aMC8f+YsIP3eg7zp9W3foyudc3GJtZEBn+lDz5CzJ0\n6vx3+2SLz5U3cENV1VsAiqKsAOoBl15p0wmYpapqOICqqlmiwK+HvSnaWgqBIZHU8Mye2eEIIb5A\nkhR/5RITEli3aC57Nq0hPi71NLmWXfpglc32tbbxcbHcvn4Fc0sr7B1zpdufto4OpSvXSHMtLjaG\nnWuWY2Bswu7VS1k1ayKWNnYYm1m8dn9SYgK1mrWlaJkK/Dp5LAEbV9Ljp1/wLFmOpMQE1s3359i+\n7XQaMFJTDu7+nSAMDA2Zt/kAd29cRVVVcnsU0JQmq1q/GSXKV2bj0gXsWr8K/82HNXuMtbS1qdyo\nNQc3LNckxXGxMRibmqcpNweppeLyehWnz8/zuXbuJD91bcnlU3/zJDSEcrUbsX7BdDoOnUCpF3t2\n79++yegOjQi+dY1DW9cxfPoC1vw+l+sXz2NgbJymbx1dPXT09DQHb3yIv3Zspnrzb9Mk3QVLlkPf\n0IiF037iccg9/Jq0wrdWA8wsLP91P7L44jgAr+4lCgZK/qNNXgBFUQ4D2sAoVVV3/LMjRVE6A50B\n7OzsCAgIeOdgoqKi3uu+95XdCA5eCKK4/oP/bpwBPvX8MkNWn2NWnx9k/Tlm5PwkKf7KTR7Ui4iI\nMDoOn4yRqRn71v7BD23qM3PtrjRHEO9Y8ye/TR2nOfY5t0d+GrXryo3LFzA1M6dc9TqYWVoR/uQx\n8fGx2OVw0iSVR/ftxNWzMHGx0ayePYnRizdhmc2OXrVKc+3cSfJ6FQcg4skj9q39k+HTF+Lm6cWM\nHwdSvm4TCpYqD4Cunj5Nuw/gxL7tXDl3GlNzCyYN7MGT0PvoGRqipqTQe/QUipQul2aOEWFP2L5y\nCdfPHCMxLpr42Jg0D97FxcSgp//yIb38RYpz78ZV7l6/rKmfnJKczP71KzSrx3m9ilOuVkMm9mgD\nqBzduRlrewdNQgyQw9mVSo1acfbgbsYvXIlrPk9y5XGnd/NabP9zAT1+mql5j07s24GpmQUHtm/k\n+sXz2OVwpGbTNuTI5fLOn9N/JvP/Z2BkTNv+P5LD2ZWJ3VuTy82dqvWbvXP/H8vdm9cIDrqJk6sb\nTi55MjucrEwHcAN8AUfgoKIoBVVVjXi1kaqq84H5AMWLF1d9fX3feaCAgADe5773VerxOQKuPqJC\nhQpv/H+QkT71/DJDVp9jVp8fZP05ZuT8JCn+it2+foXAk0eZtvmwpnJDmx9G8TT0Pns3rtasnF44\ncZSlM39m2K+rccydl4T4eEZ9W5/Jg3tRtmYDrl2+yO/+47F3zMmDu3fQ1dfH1NyCXiMnUrBEaZ5H\nhGNtlwMU8PKpqNky0X3sdH7u/S258xXC2NyCc4f3U691Rzy8Uk+my+dVDCfXtPtcFUUhh7Mrjx8E\nM3FAd2q07ECVxm1QtLQIPPYX4/t9x8w1uzSrnw/u3eGH5n4UsdGhnLU2NrZaDG7iS7fxc0lOTsLU\n3JJtf8yjVdc+mjH09A3QNzBgbOemVG7UBitbO/ZvWImphQXlar2skWzrkAu/Jq1BgR3LFmCT/fUV\nV0sbW/IWLIJrPk8gtfbzjNU76NuyLuO7tqSYbzVCgq5zbPcW9PQNuHrpIoXLVeHu9Sv0blGLYf4L\nKORd5rV+/0256nVY9dscSlap+XL7xN8HiYwIw61gUbR1dGjUpR/blsz5LJLiuNgYJg7ozpVzp8md\nryA3L52nQFFvBk6a+d5Hh3/FQgCnVz52fHHtVcHAMVVVE4EgRVGukZokn/g0IX48njnMWHMqmEfP\n47Ezk387Qoh3I0nxV+zGpQvkK146TSkzgIKlK3D90nnNx1tXLqFOu2445s4LwJm/9oAK0zYdwsDQ\nCICLxw/jP+A7Zmz/GwNDY04f3M3oXu1p23MAUc+fcTJgJ/mKlcKtUDFNv14+FZm8dj8DGlcmNjoK\ni2y2rF8yn9CQu3w/+mcKFPXm9IHdlK/TRHNPzPNIrpw5Trmqfphb2VCtWbuXcZcqT6lqddm9YaXm\nYI7FP/9IDUcdmhawAqBcTjPuxzxkxqCuuHoWIfjGVYyMTfAq6aPp5/rFc2jr6qKdksLhbetQtLSI\nePqIX7Yd0xyhnJyUxF9b19Dom864enjyLOwpR/fuIPxxKJbZ7DVtDm1dR9MOXdO8vyZm5sxcu5OA\nbRu4ev4MDjkcKOlbDX1Tc1r1GQ6Ajx+4FSrK7HHDmLNh7zutepX3q8uJv/YyoEkVSlTyI/Teba6e\nOU7vyfOIDH9K0OULxMZEERkR/lb9nT5ykDW/zeb+nSBc3PPRrFMvzQ8uGWHx9ImkKNpM33IEHV09\nkhITmDm4B0tn/kyHfsMybJyvxAnATVEUF1KT4eZAy3+02QC0AH5XFMWG1O0Urx+h+AXyfOVhO0mK\nhRDvSqpPfMXsHXNy5+ql1+p63rkaiL3Dy8WmiKdPsH1lD/GxPVup1rydJiEGKODtg51jLm5fvoCi\nKBgam5KYkMiBnVu5cfUKCfFxXDxxmAObVpHyygl2a+dOIWfefMzde5YZW47iv/kwt65doUXZghib\nmvPgzk1+HTOA6+dPc/rgHsZ3a0mlOo1QU1TsnJxfm5OdkzNhTx5rPj595ACVXUw1H2+/8Yx4cydm\n7TzFsHkrmb3rFIV8KjJrzMuT4KKjnhP1LIK633ajQNHiGGiDubklI9rW5cCmVfy9ewvju7UkMSGB\neRNG8HP31AfpXNzyMuKbemxdOp+AjSsZ911TzC0sKFPZj3/S0zegWoPm9Bw5kRZdenPx9HEq1E1b\nXq1o+ao8eXif8Ffm8za0tLT4YfwMBv88BxsrS66fO0GnEZM5d3g//RtXZveqxSz3/4n4uNj/7PvQ\n7q38PKgnpfwa0n/mUvKXrMCIrm0IPHXsnWL6N7vXr6Tl90M1P3Do6OrRvNdgdq1bkWFjfC1UVU0C\negA7gcvAKlVVLyqKMlpRlLovmu0EniqKcgnYD/RXVfVp5kScsfJlN0NR4IJUoBBCvAdZKf6KFSjq\njaGREcv8x9Kwcx/09A04unMTJ/btYPb6vZp2nsVLcWz3Fgr7VEy9oKrpr1wqCqoKCXGxzBjYlX5T\nF1DAO3UFNuzRA4a1rs39oOuM7dSEKk3aEPH0MQc2rebndQEYmaQmrmaW1nQYMp6ZQ3rw66RRjJq1\niGP7d7FowhCMTEyp2+IbqjZoTsjtmyzyH09cTDQGRsYvwlI5uX8LtVoXJV5nM+GPn2FgqE1kfDLW\nRroA7A1JoMWPwzTjaWlr07T7AHr6eRMd9RxjE1OSExMxNrdk47wp1MltRP0CRtwJT2T+mfvsW/sn\nJhZWlKlRn7K1GjKgng+9ChuS3TQbU0+EkL1wGZ7cu0lwTCx1mn9DBb96/3o09v/pGxhoagn/X3xs\nDMlJSegbvvk0P1VVOfv3IQJP/Y2ldTYq+NXD1MISRVHIV7gY+QoXI7d7fib074a1vQPTNv6FqYUl\nKSkprPxlAlOG9mbsvD/f2Pfi6RP5bvQ0CpZM3aedPacLegaG/DFrChN+W/Wf8/ovqqoSGxOFmaV1\nmutmVjbERD3/4P6/RqqqbgO2/ePaiFf+rgJ9X/zJUoz1dchtY0xgSGRmhyKE+AJJUvwVUxSFMXOX\n8svowXSvVgxFS4ucedwZM+8PrG1fHpVat+W39G5Rm19H96d09XoYm1mwedFsSlWto0nYLp08StjD\nB+TxLMKRnRtxcvPQJMQAVrbZqdq0LXERT7FzcGLRxBG4FSxCSkoK1nZpyyfZOuYkKvIZVZu04cie\n7XTsPyJNKbLsly/iABSzNmJc+wbU7dwHAyNj9ixfSHLIHZJXx9Jl+BKiE5OIT0rm9zNJDKvgiJ62\nFtHxSZhb26QZz8DIGG0dHeJjY1OT4uRkSIilvqsRjfKlbrvIbWmAo7k+40/eZuRv6zQny+Vyc+dR\n9E3crA3pUtiCPnv3svLYdbRfOXnubSTGx7N8xniGzFmGobEJKcnJLJ/xE7nc3DE2MU3/noQExnzf\nkQf37lDMtxpBx4+ydOZkRs5cTP4ixTXtSlashpNrXup82/1l1Q0tLRp16UuP6iUIe/wo3WojCfFx\nPLh7G0/vsmmuFy5bicWTR7zW/n0oikKRMhU4sGllmq0wBzaupFhZ3wwZQ3xdPB3MOR4U9t8NhRDi\nHyQpziKio56zftE8/g7YjZ6+PpVqN8SvaZv/TM4srLMxfPoCYqOjSUpMSFOV4f/MLK2YtnwzG5cu\nZOPC6ZiZW5LdMScDm1bBu3JNIp484mTAToxMzehd14e4mGhy5y/0Wj8GhsaE3rrGXzu34ODixsPg\nO+RwduXUgV2UqPRyi8HRnZswNDYhOSmJmOcRzLzYkparX265CANQFIY2KsbOC3fYNW8sCUkp+Dhb\nUqBKPkauPUq/UvYUtDPiWXwyQ/bcpd2GG3jamRAdn8j+dcto88MoTX+nD+7GSk8bdWZPwhQFh4RE\nop+FUbJk2rJzbtaGpCQ+IfzxQ6ztc6SevHf+DB0qpCaUNkY6JCQkkBAXh+E/Sq79m8eh94l8Fo57\n8dJ8X7s0boWKE3zrGobGJhj/Sz871vxJTEwM45ZtR0c3dSX8xP4dTBnSi1+3HtKUpIPUUnfmVmnr\nH+vq6WNgbExsdBSkkxTr6OphZGJKSNANHHO7aa7fu3EF23QeKnxfHfsNY1D7ptwPukHewsW5cuY4\np/bvZOKiNRk2hvh6eOYwZ+PZ+zyJisfGRP+/bxBCiBckKc4CEhLiGdSuMdmcnGnZdwRxMdFsXPgL\nVy+cpd9P/q+1j4p8hq6eHrevXSb86RPcCxZ5cWDEmxMwc0tr2vYaoPlYVVWunj/D6SMHyJkzJ6V9\nK7Ng8mj6TVuIrUMuetf1IfRuEPY5U0uKJcTFcmDTSrQUhUZd+lGpYUt2rVzEuvnTmD28N/Xv3CJv\noaIEHjvEnjV/UK1ZO7b9MZ9qOa1otjq1WkUOV+vX4vIr5IxfIWfNx+M3HaeBuwWF7FPnYmGgw7Qa\nzny78SY+BVxpYmnC5B1riQp7hFeF6ty9coED6/5kVN2iOORKXUG+f/MpNkb63HuWgKPZy2+qz+KS\niImLJzIijCehIaz0H0txe0Oym6buhT19PxpHR6d3SoghtfqCgZExHYaMp963Pbh9NZBs2R2Ji41h\n2dTRb7zv0O6tVG/RXpMQAxT3rc5y/7HcuXEVl7z5NNeLlqnAwS2ryVOwiOba5VN/o62tTfaczvzT\njjV/snzedKIiIxjVrj5123enbrtuhATdYPHE4TT+tss7zfHfOOfNx6x1u9m6YgnnDu4mZ243Zq7d\nnea3FUK8rQIOqac8XrwfSYW8cnS5EOLtSVKcBRzcvgl9Y1O6j/tFs9c3X9FS9KlXljs3rmqO7w08\n+TdzJ4zk3s2rKFramJhb4OCShxsXzlK3dWqliLetcqAoCh5eRTVVCAZ3aErrviNwLVAYgFa9hzHq\n2waUr9MEE3NLDm1dS558BTi0ayvelWpwMmAntg45mb7lb84e3s/8H/uRPVdu8ngWYdSiDWTP6YJN\ndgdO/umfbjL8Jg+fRVPGNW1Sqq+jhaO5AS7ZzCjoZMOv35Rjy7nbnF82DXsTPWa18sHR6mVN5hyu\n1nSq7MXs3adxNNPDyVyfyPhkZp4Owz6nM/4/dCYlJYXIJ6EUyW/N1SexXA+LZ/XV5/ww9de3jvX/\nHHLlRltbh8Bjf1GwVHmy5XBEVVXmjuhDyQpV3nifoiioaspr11NSVP75WWzcviv9WtXll8HdKeZb\njftBN9mzegn9fvJPs6IMsGv9SlYumEX3cTPJU7AINwLPML1/FzYvmo2Oji7NOvWgWsPm7zTH04cP\nsG/LOhLi4ylVsepre62tbe3T/NAlxPsqkONlBQpJioUQ70KS4izg8tmTFPOtliah1Tc0pFCp8lw5\nd4pcedwJDrrJ6F7taT9kPDuW/46ntw8NOn2Poig8C3vCuM7NcPUoQNlqtd8rhochwZqDLgAqNWxJ\nXq9ijGrfCFVNocug0VSs3ZDDu7bSt34FchfwIjkpkXmj+lH32+4kJycx7s80zwbh7FGApSFP6Lfm\nJLYmetT3csI9++vbO17lnsOKkw/CKJz9ZWIcHptE8LM4nG1SV5DMDPVoWSrvv/ZT3sOBp1GxDNl3\nCS1UEhQdSlerQ8OWnbh69gQXjx+C68n8bQWnbuuRwyU/Py7siXuhdy9VpqWlRa+RE5nQvyvlajch\nh7MrJ/fvIOJxKN+P+OmN95WrXoftf/yKVxlfTVm9v3dtRl9fn1xuHmnaWljZMGPVDrav/pMz+3dg\nY2fP5CXrND8wvWr1gpl0Gj5Js6qcx7MIPcbPZP6ovszffJBn4U+5FngWp9xuaQ54eZMlMyaxb8s6\nqrfogL6hIRv++I2/dm5m+IzfXkvIhfhQ5oa65LI2IlAqUAgh3pEkxVmAta0994NuvHb9/u0bVKvX\nCIAtKxZRqVFrcrkX4MGdmwydu1yTRJtb2VC/Y092rlvx3kmxvWMuzhzah8Mre09TUlLQ09fHzNIa\n57wehD0ORUdPj+ELVmsS6MunjjKpVzu0FSXNdounDx8woXsbvKvWpUTlmgTfuMLAxbPpVzU/5fLm\neGMcjUq48d1ve3gYlYC1oQ5m+tocvx9NoxJ5MDXU+9c5PIqMISw6nlzWphjq6dCgeB5qFXahx7Ij\nOJeujraePj91bYlXGV8iw54S8jSS9o7O3NWP5fmdSzwMuYdrvoJptjO8raI+FZi+cjs71vxJ0IVT\nlKvqR6U6jdKUvfunGo1acuboXwxoUhn3wt48uHOTh/fuMO7XZemu+BubmtG4fdd0ekor5M6tNNss\nAFwLFCY0+C6TBvbgzNGDZMvuyKOQezTt1IOmHXu88TcMoSF32bz8dyavDcDMMvWhxbI1GzKibR1O\nHNxLSd+q/xmPEO/KM4c550Mi/ruhEEK8QpLiLKBqg2Z0b1iFQmV8KVq+CslJSexYvpDY6OcUKZ16\nRPKDe3cpU6sRsdFRmJhZvFYmzMzShujnb1fG6NCuLWz4YyFPH4biUagITTp25/a1i1w9fxptHR2K\nlqvM3RtXWDRhGB5FvLl86m9c3POz9rc5lK/dOM2Kcr5ipfEoXByTpzeZO6Q7XX6ahX1OF/6Y+iM+\nNerTul9qlYMiZSuRp2BRZg3ujI9bdrTekITFJiSh6BoQn7MIhgWLcXTfNpJ1VJqWTF0ZTkpO4WLI\nU1QVPB2t0dHW4nlcAj9tP09g8FNsstny5GEo7cq606hYbvR0tJnUyJuBa3fwJFGXn9f9j72zjo/i\nWv/wM2txd0+IQRKCBpegJbgVp7hD8eLaliKlLVCgSClFi7UFgkNxh2DBgsTdPbub3fn9sdylaaC9\nvbe3t7/eff4iM+ecOSMf9jtn3vf7nsXc0hqAqAunWTNzLC269sbF3Zv9m9bw46fzWHr0xr9Uic3F\nw4shk2f/dsNXSGUyJi5awbzRA7h76SdcvH3RlKs5d+RH/IJC/6lQGI1GQ/Tta2QkJ2FmYUmVqkF4\n+1fl0a2rhDZsrm/3+PZVrGztyc3Npc+EWbqiL3IFyye8h7ObB83bd33j+PeuXaJG4xZ6QQwgk8tp\nFNGV25fOGUSxgf8IwW6WHHmQSn6JGivT3/+SasCAgf9NDKL4b4CDsyvzVn3NqgXT2bp0DmqVEk/f\nAD7euEvvPuFbNZgH1y/y3rRFFBfm8zz6Dn4hutVAURS5GLmfOo2b/9phADi0cws/bNtEn/dn4VYl\ngNvnTzF9YDfsnN2Y/uEXHPx6Dcd3fY2dkwu1m7fl+qnDjJ3zMQqFEaXFRZhZVQ5/sLN3INg8nyK1\nlnn92qHWaJDKFczfXH+500UAACAASURBVNF9oGrt+qi0Aun5JbhYvzmZ7bPTj+g0ahrv9BkKQI9R\nk1k/Zxw7rz2nnrc9Hx25i7WjzgIuL/IOczrU5Pt7iZhVa8SaLYtRGBmTlhDL8jG9cbUyoaGfC9Zm\nRpgZK2jy3ni9IAao3aw19i5uhLVqT7U6DXmnzxBWjOnDgaFteMffjQ4dvbhad9k/cQf/db5cPAt3\nv6rM3rAXmVxOYV4uyycM5Ni+HbTvNbBCW5WyjJzMdGzsHTEyNiE25jELxw5CrVZTXJiHs2cVslKT\n8fYLYNPiaQyZ9QmBtcKIuXuLTYs/oLSkiOKCfB7dvsretcsJaxXBu2OncXj3N28VxWYWlhRkZ1Xa\nnp+dhaVFRau5SyeP8MP2TWSmJhNYvRZ9R0+iSmDQH3exDPzPEPIqrvhhSj6N/Ox/o7UBAwYM6DCI\n4r8J1cMasunIRVIT4pAbGeHgXDHEoGPfwUzo+Q7W9o50G/4+K94fTJteg3Dx8uHGmaNkJsb/avwq\n6Fwudq5bydxN+3Hz8QPA1duX1LjnvHx0n5yMNKQyOT5BodRu1hq0ItnJ8bTspAvhCGvWimWzx9Fh\n4Chi7t7g2YM7mJpbcOvcSYb2b0RybhFGxsaMXfAZh7auIzstBa+A16KorKSYstJSzI3evPJTWKoi\nJjWbqT0G6LcJgkD7QeNYPaEvR+4nMH7FZkLq63x3H964zIKpQxERWLNxkX5119nTh+5jZ3Jw5+c0\n9NMJ6KScYuoZVbZ3kkhllJYU6/4tkdCq7zC+/3Q2Qf6OHD4chyRSl5Bmu/Cfq86WkZKESqnEzbvK\nb670FhcWcOP8KdYcu6EP2bCwtuHdsdP5YcNnelEsiiK7v/qcH77diJGpGcqSYjr3H8bpg/vwrV6b\nnPQUpn5xCjMLK1TKMr5aMBkzC0sOfb2axJfP8Kjij7mlJREDhtNp0Bj9vfh4dB9s7J3ISkth1YLp\n3Dh/GmNTU1p16sm7w8YhVygIa9aKtR/O5ta5E9QNfweAhJjHXIzcx+e7IvXncuS7b9m7ZR39Js3F\nwzeQOxfPMHNIT5ZtPVDBRcOAgX+GYFdd/kC0QRQbMGDgd2AQxX8jBEHA1cvnjftsHRxZ9u0Bdq5b\nyZn9OzCzsODZnaukxz2jRp36FAcEMnVAF7QaDY1ataPXyPcrFY3ISE7C2NRcL4j/QYvu/bly/CBf\nLZiCs7sXVnYOHN+1hazUJBq2aEvUlQvUbNCEBl9OpaqRhEkdG2Jl50DdFu2Ivn4RjUZDqbqc76IS\n6Dd9MbWatqIoP4+9a5dTJSgUa3tHytUqdn+2iPp+Lm+PDRZAFKlUtlqr0VCmVFG9YXO9IAZdaerq\nDcN5eOtKpapxju5eZJco9X+XlRZzetcmGrXroi9H/PLRPdISXnL30k/8uGk1ZlbWOHv4oFJYsCEq\nE3lZPp/2rEdhSiE5C/sQ3HseqdWC3zj1lIQ4Pp05gaS4lyiMjTEyNmbSok+pHtbwzecKlJYUozAy\nxuQXyW62js4U5r+Op/xx+yYunT7BRzuP4uDqQWZKEqumj0JTXk7ck2hGL/oMMwvdyprCyJj3pi1i\narfm7Lv6GJlcTlpyAhN7d6B9/xH6MY1NzegydDy7Vn1McVEBEiMT5mzYQ0lRIQe+WsnLp+OY+8Um\njIxNWLh2Kx9OHM6BDZ9jYmJKcuwzxs77BDdvndVeuVrNjrUrmbF2hz60JqL/cLSilu82rGbWyvVv\nvQYGDLwJO3MjXK2MDZXtDBgw8LswiOL/AVQqJd+uWsbxfTtRlpXiHVCN4dPmUbNBE0RRZO7IfiCV\nMXTOMqQyGcd3fc2sob34bOehCkljNvYOFObnUpiXW6HIx62zx0EQqNO8DcFhjXj+4A7RNy4hUyhQ\naUU2rViMNC2Bqc1DqGZWQLFTFaau2qavCnfh8D6WbVpGYakKn2q6oh9NOnQnPTGOaT1aYu/sSn5G\nClWdrZnbQbf/eXoeW85Hcz8xG1szI7rU8aNbXV+CPRw4sXsLHV+taGq1WiK3rMbb1gxrp8oJerYu\n7ihLS0iIeYzHq1jaB1fO8uTuDQLsXie5hbrZkpabwpx3W9CwU2/y0lO4fERX2U6r0dBv0hxyM9PZ\nveYTAkLrMO7jNWz5cDqbLt5hStvqADzc8yHpRaUkFxRTbfZGvSjUlJczZ0RfWvUcyKw+Q5BIpURd\nOM2Cse8xfv5Swjt0e6NLg52jM+ZWVjy4dqFC/O/FyAP4B4civirH/eP2zUxYug4HVw8AHFzdGT5v\nGR+N6o1KrcLWybnCuJY2dmg05ahVKmRyOcrSUoxNTPX36x+YmltSmJNDUFhD+k+ep98+eeUmJnVs\nRGzMY3wCqiFXGOHg7MbLpw8RRZFaDZsSGtZI3z4rIxWJVFoh1hygZqMWnD3w5hLUBgz8FiFuVgYH\nCgMGDPwuDH5I/wN8uXgWsc9j+OS7E2y9EkOnIeNYMmUULx5H8/D2dVKTEpi0YiP+obWpEhTKmA+/\nQJDKuHb2RIVxzCwsCW/flU2Lp5Gfo4sTffHwLmf2b6fL0PGMnL+CxhHdGPTBYgZOmY+nXzVGLVzJ\nRzuPUq1jH3a/SOX8i2w6DhlfQWA16dCDrKIyPGzNiL52AdCtevccM5Xpq7aQkxzHmt71WNajLhbG\nChKzC5m66wIhVrC2vTfj69hz8s4zNp99wNTWQfy0Yx2fDO/OzpULmd0znOyYO5grpFw59iPK0lL9\ncZWlpdw8eZB361Zh+dg+LBzQji0zh2F6ez8eBS84/yieyzEpAAxoGkxGfhE1jAvJO/k1qluRoFVT\ns3FLhs9dRtXa9Wn4TmcWffMDdy+fpbggjy4jJnPuSRIAqnINXz9OZOHFx5wqNWNK7wiWD+uNsqyU\n25fPYWFtS/sBI5DKZAivXjDqt+7A5k8/ZNqALpQUF1W6r4IgMGb2R6ydPYH9X33GzbPHWTd3Iqf2\nfcuD29cZ3aUFL588JCstBXffitZr7r4BlBYV4htSk8tHf6yw7+bZ43j5VdUXIfGo4o8APHh1b0C3\nGn/iu29wdHUntGF4hf4yuYJqdRvy8slD8nKymD28D00792LTuWi+On0HJ29/5o7si1ar81i2trGj\ntKSY/OzMCuMkPHuMk9sfVznPwP8WIW5WvMwqprBM/d+eigEDBv6fYFgp/puTm5XJ5ZNHWHXkKqav\nwiHCWkaQlhjPj9s34xNQjeoNmlVwoxAEgRqNwnn64G4li7bRsz9k47KFTO3WHIWRMTKZDI1GQ8tu\nfSu0a9qpJ1uWzqFcrUImV9Bl5CTGtv4Gbyd7tNqK4Q2IIqII3Wp6sHzdMmRyBTWbtCDh2RO2L53N\n0KZV8XzlMQyw93oM7f2s6BCgW622NpYxu4kr447F0rdRVbYNC+dSTArpKddRmqq4H59LfVsrMmQq\n5vRrR6ch4xAEgZM7NlDDxZzwqm5ExaZTmPKC1e94oZDq3hWfZpXyUeQt9r3fgaouNizr24xtFx/x\nNDUXJysTPJwdaRRRMcHMxsEZr4AgYp9E417FH82rc9125Rm55m6sOn4MhbEJapWSdTPH8lW/FoSW\nFeNSPbzSvXP3DUQmV1BaXMSudZ8xfPr8Sm2sbe3RilqeRF3n5N6t1GgYzueHLmNpY8elI98zd1R/\n/IJCuXPxDPVbd9D3u3PxDC6ePryMvkvM3ZvkZKQS2rA5z6PvcGbfduat/lrfViKR8P6iFSydNppG\n7brh7OnNrbMnUJYU0aBFG+KeRP/idorEPX1I9wFDOf3jPmo0bkF4V11stUwup/f4GTy4ep571y9T\nq2FTjE3NaNutNxsWTmXE/OXYODjz8tE9dq9ewvsL/rOJigb+voS8qmz3OLWQej62v9HagAEDBgyi\n+G9PRkoiTh5eekH8D/xCanDv4inqh7fh0pnjgK4Uc9TFM5QUFhBz/xZNWr5TaTyFwojx8z5h+NS5\nFBbkY+vgxKDW9SjIzcbK7nX1qKL8POQKIyRS3SMmVygAgSZV7DiyZTVVa9XTC/HzB7/D2cqExv6u\nfGJqzLd717Lvi8U42lgwpI47bYI9K8zhZXoe/YMsK2yzNpHhZK4gObeYqi42tAzyID6rgD3XnrIm\nwhtLIyk9gkTOxuazdeUC/J1tGBjsSrFSxbRdF7A2ltClqo1eEAME2ptgZyzhxos0mga6Uc3Vlk96\nv45JXn78PmnxLyvMQ6vRkJGcgI29I8e2b6BpoBsAx6ITmbl5DQpjk1fXw4j+0xcztVsz7piZUHzu\nJMrSUn1ssyiK3Dp3gpbd++EVGMyn7w96oyjev2Ud3UdMQhRFHFzdGbVwpX5f0449uHr8R6pWr8nW\npXMpLsgnsGYYMfdusXftcmYsX4upuQUHd37Nk9tXeXH/NgHVa/Hpjh/x9K1Y3KR2o2as2XeCk99/\nR/rLp7zT7V2aR3ShMD+fsd1a4Ve9Fk3ad0dZWsKBDZ9hbmFJUK0wzh75Aa/AinHUgiDgFRhEWlKC\nftvwafP5euVHfNCzNTK5HLlCwaCJM6j3KxX9DBj4NUJ+VtnunxXFMemFvMwspl2I8283NmDAwN+O\nP0QUC4KwBegIZIiiGPJHjGngj8HV04f0xHgKcrOxtHldLvnhjSv4BAZRP7wNmz/9kE0fzeT2uRN4\nBQRhYW3Dk6gb+Pj66+NSAQrzcklPScLFwwszC0uMTXWf19t2683uVUuY9OlGFEbGaMrL2b5yMU06\ndNfHwp778TuCPBzpU9+P6B+jmNWjOTWbtyXl+WPinzzg03frAxDkZsuyHr/+A+Zma87znDKCHV/H\n/BapNKQXKnG2fL3t+os0GrmbY2mkC9WQCAKtqliTVKDG0s6culUc6bv2GMtbe7InOovyX65gAxpR\n5KdHiXpx+3M61/Bg1rb1BIU1wje4JmqVkj1rlyNXGLF96SzyEl/wRR9dolxRSRlW9hVLzlra2qEp\n1zBi2SbWzX2fD4d1p8eYaRibmnFq77eolUrqt+5ARnKiPtTgl8Q/f0qbfiO4dioSR3fPSvsd3Dyx\ntrVjwZdb2ff1lxzdsQHPKv7MX7OF4Nr1APSlun8LJzcPBk6YXmGbnaMxH23cxfolc/l2mS6uuF54\nWxav34YgCPhVq875k0do13eovk+5Ws3Dm1foMXCYfptMLmfUzEUMnjSTooICrO3s9XaCBgz8Kzha\nGuNgYUR0yj8XV/wkrYDeG65RWKbm9tw22Jj9erEfAwYM/P34o1aKtwJfAtv+oPEM/EFYWNsQ0WsA\nn00eRv8p83F09+T6qUjOHNjOZzsPk5IQi429PRcO7UEikWJibsGAKfMZPOND5g/qQlCtMBq1imDD\nsgWcPrgPBxc3slJTaN97IEMmz0YikdBn9ERWzprExA4NqRIUSuyTaFTqUvz8gzm2czOx0bd5dO08\nM9uF8sXxKJLSM1HIpBTdOsY7fi40Gx6OVgSNVkQq0QnwglIVp6ITSCssw8vGDC97C6QSCaefpJJa\nrOHys2yczeWEuZmTXVLOV7czCK/mjrXZa9s0I7mMYrXI3bRizsfloywXqetqTpFag6NCyr2ELALs\nTHCzVNDEy4JtdzNp6mmJmUInxqJSiihQaniSnP3Ga1vVxYYJ4YF8Mb4/xuYWFBTk42RpSkMXS4Jc\noVmrZhjJpIiiiK2lGRcO7qX9wJH6/hcP7yc4rBG+ITX5ZM8pJrSry+YFk1FYWNKs07uMmL8CqUzO\nke0baNK2wxvn4O7jx82zx4l9dJ+Xj+9z99JZ2vQaROOIrqiVZdy5dIbOvQfgHxzKgi+3vvU5SYp9\nQVpyAj4B1bBz/H2rZP7BoXy28xDFhQVIpFLinz0lcve3mJqZU79FWw58s55vls6lba9BlJUW88Om\nVfhWDcY/uEalsYyMTTAyNnnDUQwY+P2EuFry8J9woEjILmHg1zfQaEW0Ilx4lkmXmpVfhA0YMPD3\n5g8RxaIoXhAEwfuPGMvAH8/QKXM4uGMzmxZNJS87i5C69flkyz4sbWwZ2ak5XYZOYOb67yhXqzm4\n5UuWjR/Ix7uOEdF/OJ/PncqRPdvQaOHzg5ewsLYhPzuTz6eN5PutG+g5dAwKhRGzVq4nKfYF8c+f\n4ublg9G2+VxLziLz4nfUsDRm6Lv1mLb7Im18LJnV2JmMIjXbH+iS9bZdf0lWQRFGcjnd61ShURUH\nZhy4SXCDZrjXC2X/ycNkXbiJsrQEexd3mnQdgPzebVZdv4CqPAUjuZSONX0YFl7xI0XzQDe+OnOP\nJ5nFdKlqi6lcwonnecTlKbG2LUOjFSlUaQAIczXnfnoJ4468pK6rOdml5bzIKWNgDQd+iHn7j2rL\nIHeaBbqSkF2IubEcR8vKZZmjk7IpLy3i8KaVZCS+oFq9ZsTcvsqZg3sQtSLDm4dQJSgUL18/Onkp\n2H79Jc+jrnJUoyX6+lnKVeUs3bLvjccPb9+FZR+Mp+vw9xkyewlpCbHsWLmIB9fOk54YT2hYQ/yD\nQ986/5LiIpZOG0tM9F08fAOJffyA5h26MnbOx797pdbU3ILVCz/QVapr05HEhHh2rv+MMbM/4un9\nO6yYOAiFwogWHbvx7vDxv2tsAwb+FULcrDgfk0mpSoOJ4s3Pc3pBGf2/voZao2X/mIb03XiN808N\notiAgf9FDDHF/wNIJBK6vTeSbu+NrLD9x+2bCarbkLa9BwG6ONfe42fw4NoFoq9fxMjElIBaYTy6\neYVPdh/X27BZ2Tnw3vRFfDlzLD2HjtGP5+7ji7uPLzkL+4BMSt+WrwtvrD99j6Ye5vSrrjPS97Qy\nwsfGiNGRL5n0+VZqNG5BemIcG+dN4PjDu7w7eT7hXXTJWZ0GjeGrOeOxir/C04wsTm1dg6OXL20G\njKbg5hHmdKilX2H+OSqNBkEQWN7WC2tj3aPezMuSScdjiU9OIy5PSW5ZOdeTCqnvbsHw2k7UczXn\nk0vJdPC3ZlojV9bfyqBFkAfKcg0JWYVYmxnhYFFxJVMmlVDF0eqt1z8qLpNmnhZ0CLDh+NPTXL9z\nBjcTkaauRpiHD6Tn6KlcO3WYzR/OwD64FtuGhXP2cRIxlw4QYW1ObX87LKys3zj27cvn6TBwJF2G\njOPFw7toNRrGfriKj0b1YsT0+UT0eu+t8wL46pP5GFtYsvrIVWRyBSWFBXw6aQgHd2ym+6BRv9r3\nl1w/d4roqBss3XtKH1rTsnt/VkwcxI6zUYyd+/HvGs+AgX+XYFcrtCI8Tiugtmflapp5JSre+/oG\nOUUqdo5oQFVnS5oFOHA+JhOtVkTyhv9XDBgw8PflTxPFgiCMBEYCOLoabJb+CqQmxuFdrXqFbYIg\n4FMtlLSEWK4cP0jL7v25d/ksjm4V41WdPbzJzcp469iuvnYV/n6cnM27ARWLTNiZynGztcDM0hpB\nEHD29GHAjCUsHt6Dph16VphTu4GjWTfxPJPrOPHplRSqaNJJj4vhSXxWJUFcpi7nxIMETj5Jx9bc\nhJyScr0olkoE2vpak1igwqqsnNa+Vqy/lc6hp7lYGkm5k1qMVAIqLcz+KQkrcxNszYzptfoI1iYy\nckrUmClkFKnUSAUBtUaLiZECC3NTHExkNPBzoV2oF2avqu49SMziwpNEnIx159s/5HW89LLr2fi4\neiCVyWgc0Y34pw+JijlPQ38XIkK9aVHNnRfp+WRmlSBb2OeNVfGePbxPx8HjmNO/A8rSYhzdPF9V\nCrSkWs2wCqu9Bbk5nD60j7TEBHyrBdOoVQQXjh3ki8NX9AVJTC0s6T1hJt8smfW7RfGlk5G07jlQ\nL4gB/KrXwtOvKveuXzYkzRn406nu/qrcc3J+JVFcrCxn8Dc3ic0uZuvgMGp66F48wwMdOHg3heiU\nfELd3/wyasCAgb8nf5ooFkVxI7ARICCkRuWMJgN/Or7VQvgp8kc6DHi9gqzVaLh/9RyPbl7GzTeA\nxhFdObZrM7fOnahg6XXjzFGq1Qrj9uVzxMU8xtWrCvWatSL/owFvOhRO1mbE5ysJdX4tmJTlWjKL\nVNg6uei3Obh6IIoiWq0G6c8eT7VKhVQiwcVCQV6Zhn5B1gw7dAa5XE5sZgE+Djo3ihJVOZP3XMPU\nzZ9mQz8gMyWBhbs2MTTYgnBvXZu8Mg0mMoEXOWUsbe1Ft6q2RKUWU6rW0jfEjskn4nFwcmF8LRu0\nosiKyJt83NIdDysjVBotm2+nk1EsoXeIPetuppGrBqlGjZ+ZhCvRz9l5+TEr+zcnNa+IFZG36Bpo\nw75HWdxLK6bGq/OPSiniQUYpQ9q8vqb+Nepy9eZJACLvxrLxp/s4mSvIKVHjaGbC+NJu2JgYVRDH\njq7u7Fm7jCYR3egybAKCIJCfncm89zrx8ulDfKvpQkriYh4za3gfgsMa4+rtx86vvmDD0vmo1SoU\nxsYV7pWtozNFBb+/6IEgSCpVEwTQitrfLFltwMB/AlcrY2xM5Sw99oTt1+KxMzPCzlyBvbkR0cn5\nPEjOZ33/2hVKQTfzd0AQ4OyTTIMoNmDgfwxD+MT/CGqVivNHf+T2lfOYW1jRtntvmkd0Yd/mtXy7\nfD5t+wxBXVbGni+XAQIDpi2kZuMWSCQS3Hz82bR4OllpyfhXr8OTqGtEbtuAmYUFq+ZPJ6RBUy6c\nOMI3ny9hZpAtQSGVK8d1D/Nn9t5L+NgYE+xgQrFay1e30nH29MHuZ6I4NzMNhVzBse0b6TxsAqBz\nKzi44VOausi5lFCAiUxg0flENFoNLVzNmLLjHBE1fRjZojqH78Ri6RPCpM+/0QuxuuHtWDKsC408\nzEktVHPqRR4ftvTg+PM8skrUOJkrqO+us6x7ll2KsUyCp50FdX2cmLfvMn2CbPGw0iXwKaQShtdx\nYuiPL3Awk1PT2YysknI+aOyqP96xZ7msPHqLojIVE+s7U8vFjCq2RnxxNRVTuQS1ViS3TMPEz7fq\nyysDPLx6Hj87E+4nZLH1fDRLWnrgYWWERiuy52E26289YXbTGuT8bNW4adsO3Ll6gU6Dx+qPb2Xn\nQK9xM7h4IpI2XXsDsO7juTrrNkR2ffEx7r6BNO3QkwfXLjK5cxM+2nFEfx8uHjlArYZNK93DcrWa\nA1u/4vSPeykpLqJu0xYMGDcNB2fd/W7WrhNfLVtIkw499BaAT+/eJCX2OTXqN/5XHlsDBv4tBEHg\nk+6hXHyWSXaRiuxiJY9SCsgqUqLWiCzvEUrb4IqJpXbmRoS6WXEuJoOJrf3/SzM3YMDAf4M/ypJt\nNxAO2AuCkAQsEEXx61/vZeDPQqVSMm9kf9Tl5TTu0IP87Ezmj3mPgeOnsWLb92xfu5Ilo3ojlyvw\nDQpBrVKSkRTPo5tXiLpwmqdR15m5Yj3njv3IzVOROLq4IZFIECRSXLx8uHYykk6Dx1BSkMu2S0dZ\n+gZRXM3VlsntavPlmfuUqcpRarTU8LAnIyWRcwf3ULNxC+JjHrF96Wx61fbk5N7NRJ09iqt/MNFX\nz+EgU6G0Etj6MI8htRxxtZCz92E22aUaVrfzYtqpOLztLTn/IpuIiZMqrEx6BlTD3N6FCUdjyS/T\nMDrMCS9rY9wtFXx1K53pjV0xlUspVGrYcicDFws5+aVKAHKKynD2rOiJrJBKsDOVkVemISq1mMkN\nXSscr42vNdvvP0et0WIqt2P7vUzkUoEF4e7sup+FSqMl2MWKo1tWY2Vrj7W9Ixcj93Hz5EE2DWrK\nhp/u062qtV6ISyUCvYPtGBUZi9JSjlGBmpyFfejQ0Ytn3v2xtrWvUHwFwMrWjuIiXYJgSXERT+7f\npv+0hSwa2oPwrn14b9pCAHqMmsyeNctYMXEQPUZO5sH1i0SdP8XKHQcr3cPP500hIy2NEQtWYm5l\nzbmDe5javzNrvz+NhZU1dZu2pM7Fn/igZ0vqtepAYV42966cY+aKdSiMjCuNZ8DAn0G7EOc3+g7/\n3G7yl4QHOrL6p2fkFKuw/QtZs91JyMXP0RwLY/l/eyoGDPwt+aPcJ/r+disDbyM25jG5WZn4B4e+\nNaHq3+Hs4QNoRJHZG/bofYPrt+nI/IGdaN6+KxPmL2XC/KX69k/uRXFo1xbunDtB1Rq1Wb3vGHaO\nztQLb40oiozr3pouw8bTru8wBEEgNzONxcN60mfibE7s/oZyrRaZpHIF8WZV3WkS6EZWYSlmRnLM\njOREJ2Xz7e7VfLdyAU42Fgyp40GbYE/6Nwzg2os0HibdocBEw5PkPFKyJSxv44WntU4sBjmYMvFY\nLHH5Slr7WLLqeBRyEzMKcitaqGm1WooK8ikpKcdYJuH0ywKSClQUKLVklZQx4tALXC0UJBeoaOZl\nyZWkImp46jyFA1xsuBifS8jPPJGTCpRkl5TjYalAFEVK1JoKxxNfVeiTCLD8cgotfawoUWmY+1Mi\noqilnZ8tz4oFCpJfsGR4NzRaEUEiY3nPMETgYVI2sVItcXlK2vvbUMXGGKlEwN5MTl6Jklq+urkd\niYzHSvMRpcVFvHx0jypBNfTHv3B4P3UaNQd0iZYCAhci96PRlNNp0OgK8+00eAyHt63ncuR+/KqF\n8OX+k9g6OFZokxz3klsXz7Iq8oq+AEmfCTPJTkvhxIHd9Bw6BkEQGDvnY9r16MftS2cxDQjg/Xkf\nY2VTMb7cgIG/Ar8W0hMe6MCqM8+4+BeyZkvOK6X7+iu839KfyW0CfruDAQMGfjeG8Ik/AE15OdfO\nnuTOtYtYWFnTuvO7uHlX+c1+2RnpfDxpOJnpqTi4uBMf85heI8bTe8SEP3R+Ny+epVmnXnpBDODi\n6YN31WAeRd0grFmrCu2r1qj91oIO18+eJDc7Sy+IQVfauNPgsVw7cQitKMKvRIxLBAEjmc4j2MpE\nQbCbLSt6VhZNMqmE2l4OeNiaM7BJNVaduIOFpkgviEG3glrX1ZyYrDJyS9W4WyrwtZVycONKajZu\ngY2DE6IocmzHRuzlGpb18OdMbD47H2RTopViYqRAUGuwk0M9N3PMfaScfFlAy2APPO10n/9T84t5\nmFiIVIDGnpakWfUykQAAIABJREFUFqnY/SCLrtVsWHE5mfRiNYvOJVHV3oSRdZzwsjYiMiYPTztz\nMgtKWBXhjfkrK6h2/tZMPpNGtNyLd8aPprxcxcFNq5AUpJFTUMz+GzHcT8yikbs5dV3NiM1VsvBs\nIpMauOBmqSAxX4mPgyW7rj7l9IN4yrVaajja8G4VG1a8P5A2vYfi5O7F9dNHSI19zntjJwFgbGJK\n3WateHzrGhKJBK2mYiEQrVaDRCJl4dqtFZ6RfyCKIhdPROITFKoXxKB77o1MTDmydxtPH9yheUQX\nGrdpT5WqwVSpGlxpHAN/DoIgtANWAVJgsyiKS3+xfzCwAkh+telLURQ3/6mT/IsT6m6Njamcc38h\na7bD91IQRbiflPffnooBA39bDKL430StUrFo/GByc7Jp+E4XcjPTmNyvIxMWLKPpO51+te/yGeMJ\nqN2A2aOnIpFKyU5PZcmo3nj5BdKgRdvfPPazh/f4buMaYp8+wsXDix5DxlC7UbNK7UzNLSjMy6mw\nTRRFCvNy0Gq15OVkYW1rX6nfL1GWlfLF/GlY2TtWWmWxsLElJe459fzdkUkrC6t/sPvqE3ZcfkKA\nvSnZJWokUhkf92qMm81rZwqNVmTzuQccvhOLlbGM/LJyQtztyFeVVxovMb+M0nKRxAIVzb0syVdq\nKMzJZkrnxlQJCiUrLQUTdRFzGtqhkEmI8LfhVkoRMomW+u6WnHqRR0K+klOxxbjZmmJtbsaxe/Ec\nuRuHj4MlLzPy6RNiT16Zhm/vZiCTCGi1Inujs3nHz5opjVyRSyScepnHzNPxuFkYUVgOdbwdqeUg\n1wtigNRCNbYOTszedEAf7lC7WRumdWzA3GYerLyajLGRCQ/yIKdcSTdfU3ysjVh3Mw1BImFw0yBW\nHrlFcXERI2vaYiSVEPksj5MxuUyrG8jFs/u5J7ch8flTHNy8mDawKyF16jN1ySrGzV3C5L4dkBsZ\nc3DLlwyZ9TGCICCKIt9v/IJ6zVu/URBrtVpWLZjGjXNnQCKg1WqRSHQJdWtmjSMzJZFuIyZTrlax\nfe2n3L1+ifHzPvnNZ8nAfwZBEKTAWqANkATcFAThkCiKj37RdI8oigaz6LcglQg0/4tZsx26mwJA\ndMpvFyMxYMDAv4ZBFP+b/HR4PyUlJSz85ke90Gn4TheWTxhI/fA2b42lTEuKJ/7ZE6au+hbJK9ss\nOycXugx/n2P7dv6mKH5yL4r5YwbQfeRkuo6aSuyj+3w6631Gz/qQZu0qivE2Xd5l2Yzx1GvVHrtX\nSVFHtm8gNzODZdPHgiDgWcUfRzd37l27hFarpXGb9gyeNKuCWL508gie/tWIfRJN4vMnePhVBXQC\n+/S+7eSlJLB8cPO3zvlWbDoHbz1ndYQ39qZyRFEkMiaX+fuvsHl4G73Q3n31CfdfprAmwhtbExnZ\nJWqWXEohvUjN6Rd5tPDRJaedfpnHg4xSbE1kbOrsi7FMJ+rupxWz9FISBbEP8bOQMqN5xZjfavam\nxGSXsvVOBh0DbGjnZ81Psfk8TcmlmoMpdV3NuJ9eginl9K3uwMPMElIKVHzcyhM7UzmTj8ViqhAZ\nWuv1y0F7fxsepJeQVKxly4hWzD9wFWPTiiuyDzLLaNxxcIX4X2MTU2o1b8PFR6coxogew6ZStU4D\nnt27xcdrlzKljjVFKi0fdKqNi7U5+649YW17H0DkVkoxfjYKEguUlJpKCXWw4F5MGkt2n8DZ0wdV\nWSnbVy7m87lTmLf6azYfu8LUfp24diqS59F3CKrbkIc3LlOYl8PaA6cqzDUp9gXXz53kxeOH3L1+\niX5T5nF637d8u2wevcZ/wIsHd0l8/oRle0/p7dzqt+7AtO7hdOwzCG//qr/6/Br4j1EPeC6K4ksA\nQRC+A7oAvxTFBn6D8EBHfrybwv3kfL1d23+L5xlFPEotoIq9GS+ziskoKMPR0hCnb8DAH41BFP+b\nXD17kpY9+lcQOlWCQnHy8Obx3VvUqN/kjf0K8/OwtLVDJq+YMGHn6EJhfu5vHnf72k/pPWEWLbrq\nCly4+fhh4+jM1qWzafpOxwoisHpYQ7oNHM7M3m0JrFmX3Iw0UhNj6T5iMu36DUUQJJz9cTffrVnK\ngq+/x9TcgiPbNzJjcE++3H8SuUInetKTE/GuVp0mHXqwZEw/2vYehJ2TKxcO7SMlJpptI1piY/b2\n/6iP3o2lW1Vr7E115ywIAh0CbIh8ls/zjHz8nXQ/PD/cesHC5q7YmuiuqZ2pnDF1nVh4Polv7mbw\nzd0MeBWlYSST0MjDQi+IAUKdzbA1kRPoZseTpEy0IkhfXQ5RFLmRUkhivpLFLTzxt9OFA8gEiM1V\nkldWjghE+FnTL1QXu9sDXbLctnuZjKjjREK+knAfq0qr5UEOJtxJzWLJwRsUFBZxOlVFB38b7F6d\nb7lGS2b8y0rXJTs5nqwsNYNnf0LjiG4AeAcGY23vyLZPZyAIAg39XDjxIIEazmakFqlYfC4RZ3MF\nzhZyMopUfHflMfZ2tvR8fzbOnj4AKIxNGDBlPhMi6pGblYmNvQOf7TrMT5Hfc3zfTp7evkbTNu3p\nM2oi548d5MiebRTk5mBuZUVS7Au8A6vz7P4tfIJC+enADpJePENZWsq4d8LQajR0GTpeL4gBTMzM\nqdO8DXevXTKI4v8ebkDiz/5OAuq/oV0PQRCaATHAZFEUE9/Q5n+aZgE6a7ZzTzP+66L40L0UJAJM\naRvA+F13eJCcTyuDKDZg4A/HIIr/TYyMTCgrKamwTRRFykqKURiZvKUXePlXJT87i7inD/EOfB1/\neenIAWo1eG2HlZGSxPYvPyXq8nlMzc1p0603PQaP5ln0XYbNW1FhzKC6DclKTaG0pBhTs4qFMnoM\nGUPrrr24d/0y21Ytw71KIB1/lnDVuudAHly/SMy9W7Tq0Z+B0xbw8ajeXD1zjGYRXQDwC6rO1tXL\n6TXuA9x9Azh3cA9JL2JIjn2GjamcElU5Nma8leIyFVZ2FTO5JYKAlbGM4jK1/trlFCtxs6jYzt1S\ngbpcQ0sfKy4lFPJeTQeqOZjwOLOUb+9m4G6ps1UzexWuIAgCbUI8yC0qZdnlFHoH2yGXChx8kkNa\noQoJcCQmF0fzIoIdTNkdnY2jmZylrT3pvf8ZH7bwqHD8ToE2jDj0ggKVFolE4EF6CRqtWKFwyPWk\nItRakZi0HNa19+FITA4Tj8US5mZOoVJDdEYpksTjRF+/REj9JoiiyLWTh4l/8oDCEiV1mlf8OlC7\nWRs+nzaSiBAPjOUynCxNOJKn5POrKfQKsaetr+6HWlmuZdaZBOIy8ung5lVhDCMTEyxt7cjPycLG\n3gGZXE7bbr1p201n1ZaSEMfkfp1IiY/F1smFxu27U1SQT0pCHHFPH/Dhjkjcq+iSep7evcknY/sj\nlUqRyxXkZqRWuse5GWlYhDV4+0Ng4K/AYWC3KIpKQRBGAd8CLX/Z6OcFl5ycnDh37tzvPlBRUdG/\n1O+vgo+lhEM3X1BTlvLG/X/G+YmiyJ6rpQTaSJBmPEUAIi/fQ5r+57hi/H+/h7/F3/384O9/jn/k\n+RlE8b9Jy07d2bh8EfVaRWBupauYdO3kYdRKJYGhtd7aT6EwYuSMhax4fxDtB4zA0c2T66ePkPD0\nIeNnLwZ0FcimDuhC4w49mLt5H4V5Oez9cjmJL5/j4OJG4ounWNu/dgnISIrHyMQEI+OKYlyr1ZLw\nIgZjExNKiopQqdWEhFZOpPPyDyIrNQnQicqqtRsQ++wJdZq04Myh/SS+eIaytJj18ybScdAYWnTr\nS+S3X+Ho7kXd8HeYunMd24aFo5BJK40NUNfXhZ+exNLA3Vy/ypqQryS1UElVV5vXx3Wx4npyISGO\npjzNKsPKWEpygRJLYwX30ooZE+ZEIw+dTZq7pRHmCilrbqSyKSqDBu4WNPOyoFAtUtvbiWB3O3qt\nPsqjjGIUUgl1Xc1QSCV42xkR4mTK2dh8Dj3JxcFMRqdAG6QSAakAam3FbEG1RkQiCDQL8SW77DkK\nNCy/nEzvEHuMZRIin+YQl6fE2kROHRdT5FKBrtXsCHU2Y9/DbFIKVYR62tM9zJ9PZ49GYW5FSZkS\nTWkR9R3lXE4TSIl7rneQAEiNf4GpqSkT2unuVd0qTqw6IVKqLKd1ldf+xkYyCb2C7dj2IJfrJw/i\n/7N7mxDzmJLCAty8fSvdj/TkRKb060TLHgMYufAzMpIT+G7NJzR8pwuObp74VAvVC2KAwJph1GgU\nTmCtMI7t+pprp4/QtNO7BNYMA+D2+VM8j77L3M82vPH+G/hTSAZ+/kbnzuuEOgBEUfy5PctmYPmb\nBvp5waW6deuK4eHhv3sy586d41/p91fhbnkMq848o3rdhtiZG1Xa/2ec34OkfNJPXGJyuxAi6nni\nc+8cRQpzwsPr/keP+w/+v9/D3+Lvfn7w9z/HP/L8DKL436Re89Y8irrB1G7NqdEonJyMNNIT41i0\nbtsbE5d+TqvOPXH3rsKRvTuIibpG9boNmLJoOeaWOsFzbN8Oguo2otfY6QA4uXsx5fOvmdSxIe8O\nH8f2FQuZuGIDbj5+ZKensmnxdDr1HVKhtG/UlQusXjAdEVCWliBIJNRr1Z4HVy+g1Wj08cyiKBJ1\n8TRdhowDoKSokKdR12jQog2jOofjF1ob/+p1cPLw4c6ln7h/9TymFlbUb92BobOXYGJmzoOLJ7jy\nLJXwau6vx4zL5HlGHq7WZrSr7sWZ6Hg+vJBCM09zskrLOfIsjzGtamAsf/0ojmgRytx9V9CKWgLs\nTEgvUlOg1NC5ji97rz8jzLXiKniYmzmlai3buvnx1a10VlxOYWGPRuSVKJm68zzWxhKq2ptwP72E\nh5klNHA3Z3gdZ9KLVGy9k8Ga9j5su5dJWbnOt7SJpyV7orMYWcdJn4z2XXQ21qYKDkW9wNPekqi4\nDEDkw/NJlJVrEQBBItA21IdHcToN8jynjMXnEqnlYkbLKtZcSypk64WHbBnclKTcYm68TOdIVB7n\n4kowM1Hw9eLpTPliK3bOruRmpvH1oqn0r++HqUJ3bWQSCVMi6vDJwWv8Mu1HIRWwMpFz89gBtOXl\nhLXpSErcS35Yv5zefo76EJif8/23G2jSoTs9R08BwK2KP57+1ZjZpy1BYY30z+HPMbO0QiaTM/iD\nxexbu5xV00dh5+xKuVpNaVEBC77cionZr3wuMPCf5ibgLwiCDzox3Afo9/MGgiC4iKL4j2X+zsDj\nP3eK/38ID3Tki9PPuPgsi661/jsuFIfuJSOXCkSE6IrrhLhacSsu5zd6GTBg4F/BIIr/TQRBYMiU\nOUT0GsD9G1ewsLKhTtMWKBSVVxXeRGBobQLfsGoL8OLJQ6o3qWiXZmxiSkBoHVw9fOjQewAfjXgX\nmVxOWUkJ7XsPpN/YKfq2ackJLJ02mnEfryGkflO0Gg3Hdm3m+O4tuHr78sUHo+g8eBxSmYyD33xJ\nXmY67n5VWfXBaO5c+gmJREriixhqN2/DyPm6UI2I/sPZ8+Uy7l89z8c7j1aYm3tACBlZUYCu3PLM\nAzfJ0yoIbhjOuYd32HDhMp90r8/e6zHsep4PSGgQ6EEj/9cV7TILSzl6NxZTuYQVbX2wNZEhiiIH\nHudwMz4DCyMZcXlKfSwwQHyeEntTORZGMsbXc2H4oRdUcbRiReRNGrqa0DfEHUEQUGtEFp5LQPJq\nlfpmShH13S1wMJPT3NuSLVEZNPSwYHAtRxadS2TisTgC7Y15/MrybUgtR7ysjDjxIg9BEPB0sqc8\nIx8jtYZAFxv6NAzEx9GKgdHxHI3J4dTLfIbWdiTcWycue1SzZeXVNPbfeE6gqw2Hbj9jVG1Hgh1N\neZJZwhe3XjKjRzhW1tYU5OfRuZYPfepXjM2t4+OIsUJOVGoxdV69HGhFkWPP82lezZtWwR7suXmd\nLbMOo1ErcTXTeSlnzu+Fw+K9uuciKZ7H96K4f/MqA6YuqDC+nbMrtk6uFGRnc/7BHToNGYexic6j\nuSA3m9vnTtJlyDjKSksQRZHtP93m8d1byORyAkNrV3ghM/DnI4piuSAI44ET6CzZtoii+FAQhMXA\nLVEUDwHvC4LQGSgHcoDB/7UJ/8UJdbPCzkzBuacZ/xVRrNWKRN5PpXmAA1avchNC3Cw5dC+F7CLl\nG1evDRgw8K9jEMV/EM7uXji7e/12w9+Bi7sncU+i9clXAFqNhrgYnQVb4zbt6dhnMLlZGVja2OrF\nyz84eeA7Gkd0o3oDnU2bVCaj43ujOX9wDy17DCAl9hkbF0+jrKQEZWkx1es2Yk6/CBq06ci6k7cx\nMTPn3pVzrJ8/iaSXI/Sf0tv1HcrRHZsqVITSlJdz//IZ2ofrPtNvvxKDuV8tPvhknX7F/PuvVjLv\n0E5UUiN6TFqIjYMzVyL3MW7XT6wf0JjknCJm7LmEhVygX3U7faKdIAh0q2rLwSfPiajhw7pbScxo\n7IqzuYL0IhXrbqbRKUAXfmEil+BgriAxp5D7idlM6eqrn6NcKjAg1IHV11MZWtsJiSCgeRUmUcfF\njMceFoyNfEl1J1NkEoGMEg0WNvZkJsTyxTteWBrJ+PxqCs9yynA2k3P5WSo9wvwYHh5SIeluRd+m\nfPjjdVIL1TTzel0NTxAEOgZYs+FOMteepzKmjhNhbjphW9fNghkyCRvuZPNx5+rYW5joV4h/jkQQ\nmN4xjIUHrlLfvRgXMxnXkosxNjGmax1fFDIJOflFWAhKOoVYIwCHnyVxPy2bcfN7sU/hz9kj3xMc\n1pjcrEziYx5TrU5D/fgHv1lLWvxLXLx9UZaV8kHPlkT0G45apeT0/h206TUIJw9vdq9aQmi9RsgV\nCkLrNfo9j7WB/zCiKB4Fjv5i2/yf/XsWMOvPntf/RyQSgWYBDpx7mlEph+DP4GZcDqn5ZcyMeP1y\nHOKqe8mOTimgeYDDnzofAwb+7hhE8V+YiN4Def/dCHyqVadBm06UFBWwZ80y3L199cUR5AoFjq7u\nb+yfm5WBs29lFwBXbz+2fDSDRu264ujmycuH9/ho4y5MTM14cv82w+Ys1btp1Gzcgja9BnFm/w4G\nfaCLdS4rLUEilbJu7vu06zcMTXk5Bzd9gaqkiJWnHxHobMXdhCymrF9VIYSk/aAx/LBlLfWbt+Kb\nj2agLldTu1FznPxrcPhuHBceJTC0pj1nXuZjbVzx0ZRKBCwUUorK1LQIqcL0UzEgiqg0WnpUs6NT\noE4UpxepyCpW42RpgkQA2S9+xExkEgqUGpTlWhq4W7DjXiaJ+Uo8rIwYWMOB2i6mLDibxKiW1elc\nuwovM/K5G5uKi4URK6+kYGMiY3NnP+RSgbyychZfSMTN1pz2NXwo12i5+DSFqLh0Qj3tScktQvuq\nst0/UGu0yKQCsVmFVG/mBMCBR9kciSulWKVF1KhZEXmTNtW9aVvds0JYyT+o5eXAlpFtOPEggZyi\nUvo386VRgAsyiYSHSdk8SspidYQXild+0fXczHn/eDz7omOJLs/g80OXMTW3IObeLT6dPBTvwGAC\na9XjxukjnPxuKyt/OI+9ixsajYavFkzm0Na1qFUqGrfvhn9obb75ZA53Lp7m812H3/7wGjDwNyE8\n0IEf7iRzPymPWp42f+qxD91LwUQupU2Qk35bsNsrUZycbxDFBgz8wRhE8V8YZzdPFq79lg1L57P5\nwxkANHmnI3O/2PRP9Q+qHcaJH/bR+t339CuZpcVFPL17k6lLVpGWlECNOmHM+2wDJmZm3Lr4E24+\n/hXs5QA8/apxIXIfoEva+37jF7Tu2gsz22w2TBmMBigoKaPv5Pn4htTk3qWfKNjyJVJpxXF05YbB\nKP4m69q5YywTiHwWTWRsKRoHK+Kzi2ja3JnsknLOxOZT28VMP+/Y3DIKlOU8TslmVKtQTj2IQ6sp\nJ7NYg0ojEp+vJK1Izfb72fRvVBUXa3Pcbc25GF9A+CtfY1EUiXyWh525CSMjY6lirUAuEZh6Io4G\n7hbIJAI3kgsxkgk0q+qGQibF1tyYzGIVuaVqbiYX8XUXX+Sv/N2sjWUMCLFjX9RLWgd7MvO7S5SU\nltLEw4zsYg2iCOtupPJ+A503tFojcuBxLn7OdmQWlvH9o2zK1FpOJClp0r4H14/up42/FW5mMs7c\njeFw1Au+GBiOmVFF2z4AO3MT+jUMrLT9bkIm9d3N9IIYQC6V0NDNjMtp+fSfvxBTc121voAadRky\n82OWvz8II2MT1CoV/SfPxd5F95lYKpUyZtHnTOzYkHFzl3Dj/BlO7NhIYGgtVu89XqkUtAEDf0ea\n+eus2X64k/ynimK1RsvRB6m0DnKq8NXIykSOp60pD1Py/7S5GDDwv4JBFP/FCapVl1V7jlJcWIAg\nCCiMjCt5G7+N5hFdOLTzG9bMHEurngMpLS7k0JYvafpORxq2alepvU9gMC8f3aeoIA9zy9e+nLfO\nHufZ/SjWz5vEy0f3sLV3ZPLCbchtztM5s4BpZ+4z/csdBNTQZUN7BQRx7+oFIr9dz8iFK/XC9vTe\nbRgbKZhY116/rVeQLc9z00jMzUcURZQaLRH+1sw+ncCSi8k09bQkrUjF0We5uiIbcUXsuPyIUqUK\nLbqV4GtJhZx4kUe5VqS2jxPdwvwAmBxRhxnfXSQ6sxQvKwVRaaUkF6pxtTajSKkmNk9FiJMpw2o5\ncj1Zt6ob7m3JZ9fTsX3lt+xoaUqohz1b7mZhJBMwlVdMnrQzlVNQquLYvTi06jKWtHTXf2Jt7GHO\nnDMJpJUk4mWpICqtBJVGS6Eqg3BPc6JSi0lWShk+Zxm7Vy5gTiMHqjnoQmBaVbFi6aVkNp+LZuI7\nb3cx+SVWJkY8KtFU2p5ZqkELmFm8Tp4rKSzAOzAYc0trpi9bzY61K7FxdK7QTyKVYm3niL2TC9M+\nWfVPz8OAgb8LNmYK+oR5sO1qPI4WRoxv6f+nHPfS8yxyS9R0ruFaaV+ImyXRyYbKdgYM/NEYRPH/\nA9KS4lm/ZD63L51FIpFQv0VbRs/6EDtHp7f2KSrI58iebVhYWZOdksiuzxZhYW1L576DaN219xv7\n2Dk68X/snWdgVNXWhp8zvWRKMum9kkAChN57R0RRUMCGBRQUEBuKDZRyRcGCCnbABipK7x1C750E\nEkJ6b5PJ9PP9GAzG6FW/i1fvvfP8y8k+++ydOZN5Z5213tXvtjuZ/fBIRj3+PL7+gexZ9z3njx1k\n0KgHWbt0ETK5DIOvHycP7CVxz+fU2BzU2h31gvhH7n7iRWaNu4PiK+kkd+1L9uljXDx5iCQDjZpe\nNPdXcK6ojA5xQSw/U8aY1AD+0S+KTZcq+PxUMSa1nGndwvnqdAlyici6E1cI1sqwuUTeGRRT30r5\nWL6ZuWn5PPLJVt6+txeJIb58Nq4/609eYX9GPulFtcgk0DXESJZaw74cM4fzzOTX2JnSMZRKm5OP\njpUwulNig1bVz97cnukr0rA63ZwqstAy+Lq7wu7salpFB7I/I5/+sfoGOYf+GjlahZQrFVZyqmz4\naZQkmqRM6RhS/zcYtjydgLAIVBJ3vSAGz99ocIIvr+/L5pHeLVDKf18BW4+mYXy08zSH8mpoF+qx\nvjuSb+ZkoYVBqbHs+G4psckt+XzeDPZvXI3aR4e5spwrGRdo07kHe9etILVLr/r5cjPTKSnIIa5p\nyu+6vhcv/43MvLU5VoebNzanI4owsc+fL4zXnMhHr5LRvYl/o98lhxpYf7qQKoujvgDPixcv/zpe\nUfw3x1pn4Zkxw+k1bDQPz3wHt9PJmiULefaBESxaub1RqgNATWUFU0bfTFRSCj1uu4vivKus//xD\nht8/npYdu/L+rOc5vn83PnojA28fxcDhd9WLtHHPTGf8rb1ZMvdlXE4HzTt2496nZ/DJzKnc9cSL\ntOjYnawLp3l/9ovcHuHDsB6JuDe7qCgpwjfgukivKCkiyl/HnfEqMk6uo4dRwx2DW/GPNQdwi2K9\nAwTAqSILNTYXkwa05vlv03hsQzZRBgXHC8xo5BKijQrm7c8nyqBkQrtg5qbloVNK6ReuqxfEAK1D\nfQjVydHL3Uz5YiczR3QhxKgFUcRmtRGul3Nnij/bMz2PHV/qEY5aLmHtxQqe3nKFYL2GUV2SGdii\nYcGkVimjwmKnd7SBN/blc2uSL1EGFWsulpNRbgWhEpVcikmmoW2oD2lXa8goryPtag0dwn0YkeyP\n3eXmy1OlFNTYOVFYi90lkhyowd+gpbKsBIvN0aiQp8buQimVkJaej06tILfcTPMIE6FGLQjCLxbi\n6VQKZo3owsyVB1l6qgwBsLvh1RGdiQ0wMGnZfp4d0YeQmATeXL0XndGX3Mx05k95kHsee4qd61by\n9jOP0GnAUEoKctnw+Yc89NRLjbyvvXj5X0IqEXhjREsEYN6WdODPFcZWh4tNZwsZ0iIU5S/4vje/\nlld8Nr+KzvGNRbMXL17+f3hF8d+c3RtXEx6XyC0PPFZ/7M7HpnLx+CEO7dr6i2kQKz//mLjmrXl4\n+rz6YyntuzL7kVGo1Bra9x3MxDkLqSgt4tv33yA36zJjn/FYc0kkErr1H0J+fj4PvfgaAK9NvJeR\nk56j5y2eCLMpOBSjKZAFk+/hjt5N6Z4UxsIXJ/PYnPfR+/pRkJ3J0tdeYFz7cHo2DW/gW+xww4KD\nBYxuHoBSJmF9ejmXyq0E61WYfFQsHNObs3nlpBdWcLzgNPe3CqTc4qRnjJFEk4pL5VYEwOUWkf9C\nJbhCKqFDuI5lZ0p5bMkO3h/Tm28PZTCrdziTN2RhVEnJrLCy6Oa4+iK8h9oEUVLnoklkKEezClm8\n5ywmrYph7RLomxxBcXUdRdUWWvob6BjuQ3pZHbuuVFNhdTG5YwhNAzRcKLXwzoFCDuSYiTQ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h1crbIRaVCyJ7uafnHGekEM0DRAQ3KghiMFtXSP0qNXyhiZ4s/Wy1XMGhrDo+syuSUhHJXg5sOj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\nXK06nbv34fHR17Jt43q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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w = torch.Tensor([1, 0, 0, 0, 0, 0])\n", + "\n", + "alpha = 0.2 # learning rate\n", + "mu = 0.02 # momentum\n", + "\n", + "v = torch.zeros_like(w)\n", + "\n", + "n_iter = 50\n", + "batch_size = 4\n", + "loss = np.zeros(n_iter)\n", + "plt.figure(figsize=(12,5))\n", + "for i in range(n_iter):\n", + " ind = random.sample(range(X.shape[0]), batch_size)\n", + " loss[i] = compute_loss(X, y, w)\n", + "# visualize(X[ind,:], y[ind], w, loss, n_iter)\n", + " v = mu * v - alpha * compute_grad(X[ind,:], y[ind], w + mu * v)\n", + " w += v\n", + "\n", + "visualize(X, y, w, loss, n_iter)\n", + "plt.clf()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally, try Adam algorithm. You can start with beta = 0.9 and mu = 0.999" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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U5GRehoW+dU3kqwgM/2wvV7hkWQqXLJvq9eTkZAKvX0ZVVXLkdmXj0gXs2bia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2/4knoFJQ/ABp3a0nx/ftYMqQHsR260VRbg4ndm/mxRnv/+IUhf9PSEQU0xZ9ysRhj9B/7ATr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\ns6eitbVj6ic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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "w = torch.Tensor([1, 0, 0, 0, 0, 0])\n", + "\n", + "alpha = 0.02# learning rate\n", + "beta = 0.9# (beta1 coefficient in original paper) exponential decay rate for the 1st moment estimates\n", + "mu = 0.999 # (beta2 coefficient in original paper) exponential decay rate for the 2nd moment estimates\n", + "eps = 1e-6 # A small constant for numerical stability\n", + "\n", + "v = torch.zeros_like(w)\n", + "g = torch.zeros_like(w)\n", + "\n", + "\n", + "n_iter = 50\n", + "batch_size = 4\n", + "loss = np.zeros(n_iter)\n", + "plt.figure(figsize=(12,5))\n", + "for i in range(n_iter):\n", + " ind = random.sample(range(X.shape[0]), batch_size)\n", + " loss[i] = compute_loss(X, y, w)\n", + " visualize(X[ind,:], y[ind], w, loss, n_iter)\n", + " \n", + " dedw = compute_grad(X[ind,:], y[ind], w)\n", + " v = beta * v + (1 - beta) * dedw\n", + " g = mu * g + (1 - mu) * dedw * dedw\n", + " w = w - alpha * v / (torch.sqrt(g) + eps)# Your code here\n", + "\n", + "visualize(X, y, w, loss, n_iter)\n", + "plt.clf()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.2" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/HW01/task_2.ipynb b/HW01/task_2.ipynb new file mode 100644 index 0000000..d2feb71 --- /dev/null +++ b/HW01/task_2.ipynb @@ -0,0 +1,501 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Assigment: Neural network basics" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Soft deadline: 16.09.18 at 23.59\n", + "\n", + "Hard deadline: 18.09.18 at 23.59" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For this task I intentionally provide no boilerplate code, because very puprpose of this task is getting you comforatable with basic code template for desiging NNs in pytorch. I higly recommend you to revisit all the last seminar materials." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Task\n", + "\n", + "* Implement simple **fully-convolutional** neural architecture for classification. Make sure it is small enought to run on your home machine.\n", + "* Provide dataset visulization.\n", + "* Provide train/test split and validation\n", + "\n", + "#### Requirements\n", + "\n", + "* Architecture should derive from `torch.nn.Module`\n", + "* Use `torch.utils.data.Dataset` and `torch.utils.data.DataLoader`. But if you manage co simplify this step using dataset `torchivision`, I will only encourage you.\n", + "* Implement at least one data transformer, but make sure it is useful for classification task.\n", + "* Use FashionMNIST dataset https://github.com/zalandoresearch/fashion-mnist\n", + "* Make sure you can fix random seed for all components of your code to make experiments reproducible\n", + "* Since you architecure should be fully-convolutional, make sure it does not depend on input size." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Многие куски кода взяты из pytorch tutorial." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import torch\n", + "import torchvision\n", + "import torchvision.transforms as transforms\n", + "\n", + "import warnings\n", + "warnings.filterwarnings('ignore')\n", + "\n", + "torch.manual_seed(10)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "transform = transforms.Compose(\n", + " [transforms.ToTensor(),\n", + " transforms.Normalize((0.5, 0.5, 0.5), (0.5, 0.5, 0.5))])\n", + "\n", + "trainset = torchvision.datasets.FashionMNIST(root='./data', train=True,\n", + " download=True, transform=transform)\n", + "trainloader = torch.utils.data.DataLoader(trainset, batch_size=4,\n", + " shuffle=True, num_workers=2)\n", + "\n", + "testset = torchvision.datasets.FashionMNIST(root='./data', train=False,\n", + " download=True, transform=transform)\n", + "testloader = torch.utils.data.DataLoader(testset, batch_size=4,\n", + " shuffle=False, num_workers=2)\n", + "\n", + "classes = ('T-shirt/top', 'Trouser', 'Pullover', 'Dress',\n", + " 'Coat', 'Sandal', 'Shirt', 'Sneaker', 'Bag', 'Ankle boot')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%%capture --no-display\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "def imshow(img, title):\n", + " img = img / 2 + 0.5\n", + " npimg = img.numpy()[0]\n", + " plt.figure(figsize=(3,3))\n", + " plt.title(title + ', ' + str(npimg.shape))\n", + " plt.imshow(np.transpose(npimg, (0, 1)))\n", + "\n", + "\n", + "for i in range(len(classes)):\n", + " dataiter = iter(trainloader)\n", + " while True:\n", + " image, label = dataiter.next()\n", + " if label[0] == i:\n", + " break\n", + " imshow(image[0], classes[label[0]])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "import torch.nn as nn\n", + "import torch.nn.functional as F\n", + "\n", + "\n", + "class Net(nn.Module):\n", + " def __init__(self):\n", + " super(Net, self).__init__()\n", + " self.conv1 = nn.Conv2d(1, 6, 5)\n", + " self.pool = nn.MaxPool2d(2, 2)\n", + " self.conv2 = nn.Conv2d(6, 16, 5)\n", + " self.fc1 = nn.Linear(16 * 4 * 4, 120)\n", + " self.fc2 = nn.Linear(120, 84)\n", + " self.fc3 = nn.Linear(84, 10)\n", + "\n", + " def forward(self, x):\n", + " x = self.pool(F.relu(self.conv1(x)))\n", + " x = self.pool(F.relu(self.conv2(x)))\n", + " x = x.view(-1, 16 * 4 * 4)\n", + " x = F.relu(self.fc1(x))\n", + " x = F.relu(self.fc2(x))\n", + " x = self.fc3(x)\n", + " return x\n", + "\n", + "\n", + "net = Net()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "import torch.optim as optim\n", + "\n", + "criterion = nn.CrossEntropyLoss()\n", + "optimizer = optim.SGD(net.parameters(), lr=0.001, momentum=0.9)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "def compute_loss_accuracy(dataloader, net, criterion):\n", + " count = 0\n", + " full_loss = 0\n", + " \n", + " correct_predictions = 0\n", + " all_predictions = 0\n", + " with torch.no_grad():\n", + " for data in dataloader:\n", + " if (count >= len(dataloader) // 10):\n", + " break\n", + " count += 1\n", + " inputs, labels = data\n", + "\n", + " outputs = net(inputs)\n", + "\n", + " loss = criterion(outputs, labels)\n", + " full_loss += loss.item()\n", + " \n", + " _, predicted = torch.max(outputs, 1)\n", + " # print(predicted, labels, predicted == labels, torch.sum(predicted == labels))\n", + " \n", + " all_predictions += labels.shape[0]\n", + " correct_predictions += torch.sum(predicted == labels).item()\n", + " \n", + " full_loss /= count\n", + " \n", + " return (full_loss, correct_predictions / all_predictions)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1, 2000] test loss: 0.775, test accuracy: 0.705\n", + "[1, 4000] test loss: 0.620, test accuracy: 0.773\n", + "[1, 6000] test loss: 0.580, test accuracy: 0.774\n", + "[1, 8000] test loss: 0.586, test accuracy: 0.784\n", + "[1, 10000] test loss: 0.537, test accuracy: 0.810\n", + "[1, 12000] test loss: 0.511, test accuracy: 0.804\n", + "[1, 14000] test loss: 0.443, test accuracy: 0.824\n", + "[2, 2000] test loss: 0.418, test accuracy: 0.845\n", + "[2, 4000] test loss: 0.423, test accuracy: 0.841\n", + "[2, 6000] test loss: 0.399, test accuracy: 0.849\n", + "[2, 8000] test loss: 0.417, test accuracy: 0.839\n", + "[2, 10000] test loss: 0.395, test accuracy: 0.860\n", + "[2, 12000] test loss: 0.365, test accuracy: 0.870\n", + "[2, 14000] test loss: 0.365, test accuracy: 0.873\n", + "Finished Training\n" + ] + } + ], + "source": [ + "%%capture --no-stdout\n", + "trainloss = []\n", + "trainacc = []\n", + "testloss = []\n", + "testacc = []\n", + "for epoch in range(2): # loop over the dataset multiple times\n", + "\n", + " #running_loss = 0.0\n", + " for i, data in enumerate(trainloader, 0):\n", + " # get the inputs\n", + " inputs, labels = data\n", + "\n", + " # zero the parameter gradients\n", + " optimizer.zero_grad()\n", + "\n", + " # forward + backward + optimize\n", + " outputs = net(inputs)\n", + " loss = criterion(outputs, labels)\n", + " loss.backward()\n", + " optimizer.step()\n", + "\n", + " # print statistics\n", + " #running_loss += loss.item()\n", + " if i % 2000 == 1999: # print every 2000 mini-batches\n", + " #print('[%d, %5d] loss: %.3f' %\n", + " # (epoch + 1, i + 1, running_loss / 2000))\n", + " #running_loss = 0.0\n", + " \n", + " loss, acc = compute_loss_accuracy(trainloader, net, criterion)\n", + " trainloss.append(loss)\n", + " trainacc.append(acc)\n", + " \n", + " loss, acc = compute_loss_accuracy(testloader, net, criterion)\n", + " testloss.append(loss)\n", + " testacc.append(acc)\n", + " \n", + " print('[%d, %5d] test loss: %.3f, test accuracy: %.3f' %\n", + " (epoch + 1, i + 1, loss, acc))\n", + "print('Finished Training')" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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F52uyyS8qdd6BfUKM4NzxDexf67zjCmEHDu2nqbWer7Vuq7VO0Fo/X7nsaa31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\nzdi0GL59uB/92jbnoWQvBrR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1HYhIMDAdGANkAqtFZJ4xZqtLsUeBT40xb4hIH2A+0A04BIw3xmSLSD9gIdDR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\nSUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "xs = np.arange(len(trainloss))\n", + "plt.figure(figsize=(5,5))\n", + "plt.plot(xs, np.array(trainloss), label='train')\n", + "plt.plot(xs, np.array(testloss), label='test')\n", + "plt.legend()\n", + "plt.grid()\n", + "plt.ylabel('loss')\n", + "plt.show()\n", + "\n", + "plt.figure(figsize=(5,5))\n", + "plt.plot(xs, np.array(trainacc), label='train')\n", + "plt.plot(xs, np.array(testacc), label='test')\n", + "plt.legend()\n", + "plt.grid()\n", + "plt.ylabel('accuracy')\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Accuracy of T-shirt/top : 80 %\n", + "Accuracy of Trouser : 94 %\n", + "Accuracy of Pullover : 71 %\n", + "Accuracy of Dress : 90 %\n", + "Accuracy of Coat : 65 %\n", + "Accuracy of Sandal : 97 %\n", + "Accuracy of Shirt : 72 %\n", + "Accuracy of Sneaker : 92 %\n", + "Accuracy of Bag : 96 %\n", + "Accuracy of Ankle boot : 92 %\n" + ] + } + ], + "source": [ + "class_correct = list(0. for i in range(10))\n", + "class_total = list(0. for i in range(10))\n", + "with torch.no_grad():\n", + " for data in testloader:\n", + " images, labels = data\n", + " outputs = net(images)\n", + " #print(outputs)\n", + " _, predicted = torch.max(outputs, 1)\n", + " c = (predicted == labels).squeeze()\n", + " for i in range(4):\n", + " label = labels[i]\n", + " class_correct[label] += c[i].item()\n", + " class_total[label] += 1\n", + "\n", + "\n", + "for i in range(10):\n", + " print('Accuracy of %5s : %2d %%' % (\n", + " classes[i], 100 * class_correct[i] / class_total[i]))" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/README.md b/README.md index c4004ea..0b6db0c 100644 --- a/README.md +++ b/README.md @@ -1 +1 @@ -##Deep learning homeworks +## Deep learning homeworks