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Neural nets high confidence predictions far away from the training data
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline\n", | |
"\n", | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np\n", | |
"import sklearn.datasets" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"X, y = sklearn.datasets.load_iris(return_X_y=True)\n", | |
"\n", | |
"X = X[:,[0,2]]\n", | |
"y = np.where(y == 1, 0, 1)\n", | |
"\n", | |
"X = (X - X.mean(axis=0)) / X.std(axis=0)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.scatter(X[:,0], X[:,1], c=np.where(y==0, \"blue\", \"green\"))\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# Sigmoid vs ReLU" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Iteration 1 # loss: 0.845688\n", | |
"Iteration 10001 # loss: 0.622163\n", | |
"Iteration 20001 # loss: 0.588905\n", | |
"Iteration 30001 # loss: 0.492348\n", | |
"Iteration 40001 # loss: 0.275041\n", | |
"Iteration 50001 # loss: 0.117160\n", | |
"Iteration 60001 # loss: 0.089113\n", | |
"Iteration 70001 # loss: 0.081293\n", | |
"Iteration 73138 # loss: 0.080000\n", | |
"Iteration 1 # loss: 0.697407\n", | |
"Iteration 7818 # loss: 0.079998\n" | |
] | |
} | |
], | |
"source": [ | |
"import torch\n", | |
"import torch.nn\n", | |
"import torch.optim\n", | |
"\n", | |
"class Model(torch.nn.Module):\n", | |
" def __init__(self, activation):\n", | |
" super(Model, self).__init__()\n", | |
" self.fc1 = torch.nn.Linear(2, 32)\n", | |
" self.fc2 = torch.nn.Linear(32, 32)\n", | |
" self.fc3 = torch.nn.Linear(32, 1)\n", | |
" \n", | |
" self.activation = activation\n", | |
" self.sigmoid = torch.nn.Sigmoid()\n", | |
" \n", | |
" def forward(self, x):\n", | |
" x = self.fc1(x)\n", | |
" x = self.activation(x)\n", | |
"\n", | |
" x = self.fc2(x)\n", | |
" x = self.activation(x)\n", | |
" \n", | |
" x = self.fc3(x)\n", | |
" x = self.sigmoid(x)\n", | |
"\n", | |
" return x\n", | |
" \n", | |
" def forward_numpy(self, x):\n", | |
" x = torch.from_numpy(x).float()\n", | |
" x = self.forward(x)\n", | |
" x = x.detach().numpy()\n", | |
" return x\n", | |
"\n", | |
"def train(X, y, activation):\n", | |
" X = torch.from_numpy(X).float()\n", | |
" y = torch.from_numpy(y).float().view(-1, 1)\n", | |
"\n", | |
" model = Model(activation)\n", | |
" criterion = torch.nn.BCELoss(reduction='elementwise_mean')\n", | |
" optimizer = torch.optim.SGD(model.parameters(), lr=0.01)\n", | |
"\n", | |
" iteration = 1\n", | |
" \n", | |
" while True:\n", | |
" preds = model(X)\n", | |
" loss = criterion(preds, y)\n", | |
"\n", | |
" optimizer.zero_grad()\n", | |
" loss.backward()\n", | |
" optimizer.step()\n", | |
"\n", | |
" if (iteration-1) % 10000 == 0:\n", | |
" print(\"Iteration %d # loss: %f\" % (iteration, loss))\n", | |
" \n", | |
" if loss < 0.08:\n", | |
" print(\"Iteration %d # loss: %f\" % (iteration, loss))\n", | |
" break\n", | |
" \n", | |
" iteration += 1\n", | |
" \n", | |
" return model.eval()\n", | |
"\n", | |
"model_sigmoid = train(X, y, torch.nn.Sigmoid())\n", | |
"model_relu = train(X, y, torch.nn.ReLU())" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 720x576 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"xs = np.linspace(-5, 15, 1000)\n", | |
"ys = np.linspace(-5, 5, 1000)\n", | |
"\n", | |
"xx, yy = np.meshgrid(xs, ys)\n", | |
"\n", | |
"zz = model_sigmoid.forward_numpy(np.array([xx.ravel(), yy.ravel()]).T).reshape(xx.shape)\n", | |
"\n", | |
"plt.figure(figsize=(10, 8), facecolor=\"white\")\n", | |
"plt.title(\"Sigmoid\")\n", | |
"img = plt.imshow(zz, cmap=plt.cm.hot, aspect=\"auto\", origin=\"lower\", extent=(xs.min(), xs.max(), ys.min(), ys.max()))\n", | |
"plt.contour(xx, yy, zz, levels=[0.5])\n", | |
"plt.scatter(X[:,0], X[:,1], c=np.where(y==0, \"blue\", \"green\"))\n", | |
"plt.colorbar(img)\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 720x576 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"xs = np.linspace(-5, 15, 1000)\n", | |
"ys = np.linspace(-5, 5, 1000)\n", | |
"\n", | |
"xx, yy = np.meshgrid(xs, ys)\n", | |
"\n", | |
"zz = model_relu.forward_numpy(np.array([xx.ravel(), yy.ravel()]).T).reshape(xx.shape)\n", | |
"\n", | |
"plt.figure(figsize=(10, 8), facecolor=\"white\")\n", | |
"plt.title(\"ReLU\")\n", | |
"img = plt.imshow(zz, cmap=plt.cm.hot, aspect=\"auto\", origin=\"lower\", extent=(xs.min(), xs.max(), ys.min(), ys.max()))\n", | |
"plt.contour(xx, yy, zz, levels=[0.5])\n", | |
"plt.scatter(X[:,0], X[:,1], c=np.where(y==0, \"blue\", \"green\"))\n", | |
"plt.colorbar(img)\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"# RBF NN" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 90, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Iteration 1 # loss: 0.971248\n", | |
"Iteration 101 # loss: 0.457881\n", | |
"Iteration 201 # loss: 0.287409\n", | |
"Iteration 301 # loss: 0.229854\n", | |
"Iteration 401 # loss: 0.197645\n", | |
"Iteration 501 # loss: 0.176110\n", | |
"Iteration 601 # loss: 0.160359\n", | |
"Iteration 701 # loss: 0.148405\n", | |
"Iteration 801 # loss: 0.138630\n", | |
"Iteration 901 # loss: 0.130714\n", | |
"Iteration 1001 # loss: 0.124393\n", | |
"Iteration 1101 # loss: 0.119144\n", | |
"Iteration 1201 # loss: 0.114752\n", | |
"Iteration 1301 # loss: 0.110990\n", | |
"Iteration 1401 # loss: 0.107738\n", | |
"Iteration 1501 # loss: 0.104913\n", | |
"Iteration 1601 # loss: 0.102448\n", | |
"Iteration 1701 # loss: 0.100280\n", | |
"Iteration 1801 # loss: 0.098345\n", | |
"Iteration 1901 # loss: 0.096599\n", | |
"Iteration 2001 # loss: 0.095013\n", | |
"Iteration 2101 # loss: 0.093565\n", | |
"Iteration 2201 # loss: 0.092238\n", | |
"Iteration 2301 # loss: 0.091015\n", | |
"Iteration 2401 # loss: 0.089882\n", | |
"Iteration 2501 # loss: 0.088828\n", | |
"Iteration 2601 # loss: 0.087845\n", | |
"Iteration 2701 # loss: 0.086925\n", | |
"Iteration 2801 # loss: 0.086062\n", | |
"Iteration 2901 # loss: 0.085249\n", | |
"Iteration 3001 # loss: 0.084483\n", | |
"Iteration 3101 # loss: 0.083758\n", | |
"Iteration 3201 # loss: 0.083073\n", | |
"Iteration 3301 # loss: 0.082422\n", | |
"Iteration 3401 # loss: 0.081804\n", | |
"Iteration 3501 # loss: 0.081216\n", | |
"Iteration 3601 # loss: 0.080658\n", | |
"Iteration 3701 # loss: 0.080127\n", | |
"Iteration 3726 # loss: 0.079998\n" | |
] | |
} | |
], | |
"source": [ | |
"import torch\n", | |
"import torch.nn\n", | |
"import torch.optim\n", | |
"\n", | |
"class RBFNN(torch.nn.Module):\n", | |
" def __init__(self, input_size, hidden_size):\n", | |
" super(RBFNN, self).__init__()\n", | |
" self.c = torch.nn.Parameter(torch.randn(hidden_size, input_size))\n", | |
" self.beta = torch.nn.Parameter(torch.randn(1))\n", | |
"\n", | |
" self.fc = torch.nn.Linear(hidden_size, 1)\n", | |
" \n", | |
" self.sigmoid = torch.nn.Sigmoid()\n", | |
" \n", | |
" def forward(self, x):\n", | |
" x = torch.stack([torch.exp(-self.beta * torch.norm(x[i] - self.c, dim=1))\n", | |
" for i in range(x.shape[0])])\n", | |
" \n", | |
" x = self.fc(x)\n", | |
" x = self.sigmoid(x)\n", | |
" \n", | |
" return x.view(-1, 1)\n", | |
" \n", | |
" def forward_numpy(self, x):\n", | |
" x = torch.from_numpy(x).float()\n", | |
" x = self.forward(x)\n", | |
" x = x.detach().numpy()\n", | |
" return x\n", | |
"\n", | |
"def train_rbf(X, y):\n", | |
" X = torch.from_numpy(X).float()\n", | |
" y = torch.from_numpy(y).float().view(-1, 1)\n", | |
"\n", | |
" model = RBFNN(input_size=2, hidden_size=32)\n", | |
" criterion = torch.nn.BCELoss(reduction='elementwise_mean')\n", | |
" optimizer = torch.optim.SGD(model.parameters(), lr=0.3)\n", | |
"\n", | |
" iteration = 1\n", | |
" \n", | |
" while True:\n", | |
" preds = model(X)\n", | |
" loss = criterion(preds, y)\n", | |
"\n", | |
" optimizer.zero_grad()\n", | |
" loss.backward()\n", | |
" optimizer.step()\n", | |
"\n", | |
" if (iteration-1) % 100 == 0:\n", | |
" print(\"Iteration %d # loss: %f\" % (iteration, loss))\n", | |
" \n", | |
" if loss < 0.08:\n", | |
" print(\"Iteration %d # loss: %f\" % (iteration, loss))\n", | |
" break\n", | |
" \n", | |
" iteration += 1\n", | |
" \n", | |
" return model.eval()\n", | |
"\n", | |
"model_rbf = train_rbf(X, y)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 92, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
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NwBGJiPQhDQonYunvsqee7+/qE79GyB9KmWdgMLd8FoeOrujtgYmI5A41A0n+GRpNQUXBok7NQCYmscTQ+PwiIoOVegMNSukurv35T5qN+wX1T6DQ0NrA+X+8yHXZm3veZnPNFg4eNb1fjkVEpF9oBFvpXzHHlOm6uSKAd2AT6GK513sy9/TGZ5hwWwWbDmz2XOeJDX/r1jZFRKT/KLOS83oTdOTCCLXdDUKyG2QdaDnAv/3pCzRHm9Oud/i42Vndr4jIgDLRCLbSX7Jx4R7ILMtAB0rw6AdP4nPpAWRXVjiCj08/rZ+OSEREumvgrybioi+Ci66yLLmQhYFsZ1eaoy3ETe//XowrHstrl6/I2v5ERHKGalak7/RlFqQ/Myy9CXyyFzR9quIMTDrfaLPAX8Cf/u1+9lzzAQeVTaW+tZ7frl3GPavuZcP+TVnbv4jIgLCagfJknJVc+K+0tOuPYCJXMii9lVkGZvrIafzHKVdzy8qfEY61kjATFAeLuGDOuZw/exEAL21dydkPfhaAWCKOsQK+XHkpt535IwwjfROSiIj0vXy4auWJXOi9k61AJlvbyM538l8f+x6fqjiDB9b+gdZYhMVz/5WPTz8NwzCIxCOcs+xCGiNNKe9Z+sZv+FTFGZxx8OlZOQYRkX6XR81AClYG3EAEKYMlu5JZwLK7YTdX/e1aHv/gKQI+P5+dez63nvEjRhSOaF/nuEmVHDepstP2Xtz6smszUVO0mV+t+Z2CFRGRHDAYrljSJ/oqYOnfU6ol2sJx953Knoa9xMxkIPLA2gd5feebrPnSyi6bcaLxqOey1njEc5mISE6zhtvPEyqwHVC50PTj5HZMuXicSQ+t/zO14dr2QAUgEo+w+cAWXtj6d8fanT/H/GmnEE90/osuDhZx0REXZPtwRUT6Tx4V2CpYGTDZHEMl3dTXxzCw1uxZ26neBJIZk3f2rrfNcf+sxaFifn3OPQwLFBLyBTEwKA4WseDgj3PuYZ/uo6MWEZHuUDPQgOhtkNCd91vrev1TuzUHDZaaFphTPouiQBHNsdQRaoO+QNo7KccSMfyGH8Mw+Mycc5k36Rh+9/ZD1IXrWHjImcyfdop6AonI4JVnzUCD44qUV/ozUHG+rzsBS0/0VQ1M58/cGmvlu8/+B/e+8UuaYy2dljdGm/jcny/l6hO/zg9OuxqfkUwivrrjdb765DW8tecdhgULufyYi7nlkz9kWtlUfnDaNX1w/CIi0lsKVgaNbDUbQc/+2XMr23LRXy7myY1P0RILe65T11rPj1f+jIZIHT8540Y27N/EJx84l6a2+wQ1R1u4943fsKt+N3+64Df9degiIv0jjzIrqlnpV73JimRT39eqmKbJK9tf4bsrvsv1L17Phv0bsrbtHfU7eGLjk2kDFUtztJl7Vv2S5mgzP3nlLsKx1pTlLbEwT2z8Gzvqd2bt+EREBpxGsJWeyZVAxb7dQDdeZ840TZY8voQ/rPsDLdEW/D4/t6y8hdvPup0lxy7p+SG32VzzIT7Dn/H6fp+P3Q17eXvveuJm5/9qFPgL2FSzhcnDJ/X62EREJPuUWclpmQYqPe0V5JyfncDopY9e4sF1D9IcbcbEJJaI0RJr4ZvLv0lVU1WX748lYtS01JDwuAHhQSOm0hxtdl3mxjRNJg2fQOWEowj4OgdgrfFWZqYpxhURGZTifTANEAUr/aInQUAm78mke7Jz3e4EKD0LXh5a/5BrMBHwBVi+abnn+xJmguteuI5RPx7FhNsmMO7Wcdz35n0p69yz6ucc8YtjPLfhc/TgKQoWce1JX6cwUMg1J32dYYFCx/JhfHbOeUwoHZ/JRxMRkQGgYKXP9UWg0p0gJZPtx9IsS/c+dyF/yLXbr4FB0B/0fN8NL93Abf+8jYZIA5F4hOrmar65/Js8/O6fAbj/rQf4zrPfoyHS4LmNo8YfSeWEown5Q0wqncDNn/wvrvvYdwGYPvIgXr7saU6fdioF/hBjikbz3ZO/yX2L7szoc4mIDBqqWZGBla0alky7Mne/duWiIy7i3jfv7ZRdiZtx5o6dyw+e/wHb6rbxyRmf5II5F+AzfCx7Zxk/+sePiCVSP19ztJnrX7yBf5t9Pje8dGPa5p+iwDC+c9LX+ezc8zzXOWLcXJ7/98e69XlERAalPOoNpGClT3U3sOjpiLPd2Y9XEW2mQUnX76mcWMn3TvkeP/rHjzAw8Bk+EmaC75/yfU647wSiiSiReIS/vPcXbnr5JoK+IJtrNncKVCzb67cDsKthV9ojKwoVsWjmpzyOuSv6UxARyVX6he4z/dXduKcBkVvA4RWwdD+Q+cFpP+CiIy7i6Y1PUxgoZNHMRcz937k0RTuGxm+KNrFx/0YMw/AMVAAOHXUopmly2JjDWLv3bc/1mqPN/GrN77nyuMttx5Op3oxBIyKSY/JsBFvVrOSM7taKdFW30lVvoK7qVHpfuzKtbBpfmfcVLj36UvY17aOhtXOtSdyMpw1UAN7e9w4H33kolxx1McMCwzzXa4628OC6h7t1jJ0N/vsliYjkGwUrfSKbzT+ZBhKZBCfO5c7nzm1nUnib2WcdFhzm2RW5K5F4hC21W/nB8//Fr89ZyuFj53iuWxIqyviYvClgEZE8oAJb8TZQgUom87qqV3E+eq2X+nxXwy5+/vovWLN7DcdMqOSr877K6GGjuXbFtfzp3T/hM3yUhEqIxCOunzJT0USUdfvWs/bLrzP9jpl8VLc9ZXlxsIgvV17Sq310yK3bC4iIDGX6Nc5ZmQQgvWm+cQYlPbNu33pO/tXHaY210hpv5bktL3Dna3fi8/moDdd6vi/kD+E3/LTGWklkGK5H4hE2HdiMYcR58sI/8/HfLCQcbyWRSBBLxLj8mIs4p73A1vk9DP77IYmIZEw1KzIwugpUvAZ882oe8mr+6U5zUIwrn7yK+tZ6WuPJe+60xlupj9SnDVQgOUrtPy/7J6OLRqddz644WMTHDjoZgDljD2HH1e/y4Pn/xz2f/jHvfe0Vbj/rRxhGHO8grifj06hJSEQGIStYGYARbJcvX87MmTOpqKjg5ptvdl3noYceYvbs2cyZM4cLL7ywy23qv41Zla0LYSaBSVfP3eYFPNbBZZ2umoPANP28vP2VLrbnLmEmOOlXJ1EULMpo/ZA/RHlxOV84YnH7/oN+g4WHnIF7gJVOd3v+KMMiIpKJeDzOlVdeyYoVK5g8eTLz5s1j0aJFzJ49u32djRs3ctNNN7Fy5UpGjhzJvn37utyuMisDJhu9VdI97yrTgsuj2zy37SYZhkGhY/j67miONVMTrkm7joHByMKRfKXyclZf8RLFoQJSP4ezWDhdNslJWRMRyWMDUGC7atUqKioqmDFjBqFQiMWLF/Poo4+mrHPvvfdy5ZVXMnLkSADGjh3b5XYVrGRNti58PcmiePXu6cnkdQzu+7vkyAs7BSwGnYfa95IwE/gM79PQxKQl2szM0YdQEip0OcZMmnbSraOARUQkW3bu3MmUKVPaX0+ePJmdO3emrLNhwwY2bNjAySefzAknnMDy5d73jLMot50V/dH8053sRybH5NbU4yW1+cfenPSTM3/IxprNvLztVRJmgtZ4KyZmF9tLNaJgOM3Rlva6F6dwvJVrVnyf+9c+wMuXPkrQbwVDmXzvzh5QznnW/K6+AzUFicgg0kcFtlVVVVRWVra/XrJkCUuWLOnYrdn59995r7hYLMbGjRt58cUX2bFjB6eeeirr1q2jrKzMc7/KrOSs7gYqXs07Pc2ueG079XVRMMQzX/gLz138iOs4Kl1lWYK+IIvnfpYPv7GB8qIxnus1R1tYv+8DHn73r237DnfzM2SDsjAiMoj0QTNQeXk5q1evbp/sgQokMynbt3cMK7Fjxw4mTpzYaZ1zzjmHYDDI9OnTmTlzJhs3bkz7URSs9LveNEekC1SsR6+p1Tb1tEnIe93acB3Dgp1Hl02XZQn4ApQWlPD9U/+DicPH8utz/pcil21YmqLNPLHhGToClTDuQQtpnjs/U7p5IiLSHfPmzWPjxo1s2bKFSCTCsmXLWLRoUco65557Li+88AIA1dXVbNiwgRkzZqTdroKVXsvGRS6T5p/uBiitJHOAVoAStk1NpAYv6bIU6fbR8b7RRSUkzMxzjgFfgCXHXM7aL69i8vAxQJhPHzqf5y7+PcdPOhKfS0YmYPgZVzIcaGybwo4pk2DL7Xm6eT1ZR0RkgA1Q1+VAIMDdd9/NggULmDVrFhdccAFz5szhuuuu47HHkne8X7BgAaNHj2b27Nmcfvrp/OQnP2H06PTDWKgRvl9l60KXLusByTPK64JtXz9AxykQbntuFcum6+bsrN+IMW/iXMYVl9McbcloWP1YIkbMjOMzTPY27uInr/yMv216nomlo/mvj13GJY9ez76mAynvCfoDXHHMJ0kGKtYxWo/O+pvujsgrIiLZsHDhQhYuXJgy74Ybbmh/bhgGP/3pT/npT3+a8Tb1Sz3gepJVcc6zprjLvHQBS8A2WUFKuO25/ULvdnzWY/L9hgHPfOF3fOr3F7OrYS8+w08sEaM52uyy36Rfrfk1D69/GMOAhtZGIoko66rg5e1v8q3jF/Hbd16gpqURn2GQME3u+5evMKt8NFDnOHZn4OX2OTMNTBTAiEieyKMRbPWr3CvdyZR0N6uSLkjwClTs88Mu6zhZ//yFjtf29ZPzfvrPX7Jq59t8bu5ZjCgsojUWYe7wY1m7ehwjR8IJJ4SZMXIS71/5Imv3fkBtuInZYw5nzs+Po7plv/snTCRrXcAkYattaY62csdrj7Lr6ut4cP0b1IYjXHrUCZQXjwSqSQ2w7IGW2+eLOZ6ny7RkSgGNiOQ4kwG98WC26Rc3p3g113RV7Bp3vE6tJ/Hehj1YsSZ7hqaQN3a9zXH3XUSirTvaH9c/A0ABJbRGTAr/di+BDz7DmDExnnnmQw45JMFR46fx+3ee4NN/+FyXn9jrvkAmcabdcT3RBBgG/PDF5dyz8GQuOfp4oBgoaTvekrbJCiAKSA1eMrlZo5OCERGRXKJf5H6RrvYj3fyumn3cApUw3sGKW4Yl0LZuiWO5H4CTfnVJe6Bi10ojhCB81hfhw+No+mg6Z501nU2b1rJh/yaueOx7tMTCnd6XqaZonKZo6rwrn36ZyknFzB07jWRhcDGp34szQ+T8nF4UnIhIHsqjZiD1BuqxbPcK6U5PlK4CFftra2ok2QvImupszxuBWjp62TSyuWYL//L7bxOJOyIGp0ALXHYy5uF/YO++AG+8YfLrtx4iEo9k+sE78WO0hUqpWmMJ7n3zTWArsAPYbztu+2d3ds+2pKsPEhGRXKX/Tva53mZV3JpxnIGKM5tiBSfWhTtd116r/qOEZABTzIcHYhyz9MfUt7Z0/fEMoHQvnP1lom+/QV3dfPY2bieeQY+gdk1jMHxhxr43kXEbyinZPYpA3CQ8vIWaafvYeewWWkY3Ejdhf8Ne4A1gGslAZbzjeylx2YGzbsV67lzHOdqtsjEiMkipZkWyL9OAxqu41hmoWJNzfBVn0GKxgpUS6sJ1XPbokzRmEqjYhZqIHH0PLeOrGBHpIhtj40v4Kf/bZ6h4x2QY1YSNMmr9M4gd/leG1RYy9bVDmPrqIWw7cSN7P76Oc0aY0LgPSuxBRxmdezbFSDZlOXs09WSofRERGUj6le6Rvm4+8CqktWdV7Mu8AhX7wGlWE48922IJAHU8uK6OLz66jnAs3s27+7TxR/m3vz5IWWHQdbGBQdAP8YRJ3IQRzYXM+PNJjP6wigZzGmu4gv3mUZDwEShtIHbWHYRa4xz8whymvTKTsdvH8anDX4DtcZhSAyU72o59DKm9g6zvJV0hbSZBigIZERnE8qhmRb/EfSqTjEkmz+2s5h+3AMU+Qm0tqUFKHakjv1qBS9K2uhBffLSRli7isHFFBoZhsqfJfXlrPEFVU2syBekYhNY0TX50YoD3d8f46OmDCDxyJLGWYWwwP882FoKtUiX20o/gozOIVP4f7x1WT23Vkcze/jbfv+ZMbr/paXytwIxdMDwGjGh7l1tXbD/u32VPA5jerC8i0k/66EaGA0W/tDnNqydPuoyKVTBrn+pIjk8wQFH1AAAgAElEQVTS9joWSa4apf1kfnBNhHia9s3CACys8HH42h/wv4+dBOeeA0H3uyR7bsY02PDAiQx/1Qcbyzm0rJqPNdfzeT4OKSW1CcCAracnJ2A3EOBJjO338/BvD+WCr22AUqBoHwT209GFucDxffU2uyIiIgNNv9R9pjeFtW7ruPX+cQYs9hoVK0ixestUQ6wZmtsWNwARkgFLApr2Q9QjyvAbcM502HfXI9yy+hO0BBogEcKIRwg1FhJqLsAfCbRnUxL+BKY/ASb4owEKGgop3T2SMRsmsqW6lJGFYa6a/Aaf2r2FvwOfZQl/5C4iFJGgAK9OattZyBHB5fzm2TinnbKD8WXNyYBlbC0wuu1zlpA6Cm+MjgAGug5aFMCISJ5Qga30vXTNQ24Bi1WjYnVDtgKVWqAaGtsClSaSgUoDHXFNAj4dh9sMaHYUqxT44KUTwdhUycLXD2NUZCUjRi1j+H0nUlRTgi+RWe/3hC9B3eQazjtoN5c2rKdle5x/AquBEv7ACazj77yM92i0EKSV6fHxfMhOHnhoNt85bDWMAsZWk6xbKWv7/KNdviOvweG6ouBFRGSg6Ve42zIprs20ANetm7Jzub2o1q3Zxxo/xcqgWIHKjuRzsyY5q4pkgFLb9lgFLQf8vPn2ON7bOoo9NcV8PBpgl88kUhAjVhDF7zOZE/Xz8P3FvLtjHEdHvw8GtNbGqZ/aSNVhu2gpayJa3Eo8FMM0TIyEgZHw4YsbmAYkAnFaS8I0lyY4euUCPrHyRV4hOVLKdmA9Bi/xAFWch8mwNN+VSYwAv4p/nenGMp595xkueXM9Y8taYFoNDNtDx8i2jXQU2wZIvRVBNobbd/4b6c9IRHKMalak77llVdzqVewBi72Yti2jEqvpCFBqSI6hVgfVWwt58JHDeGbtNMLRAEFfnLHDmpkaiDLcMNifCGJGA4TiPny+GOHCFmaWtvJozRXsMY+h+RPXwdGPgd/xl+BSVItpQNUs+P2veXfnbF7hb9TRyC5gD/A2F1PFuZgUpfk+khs2CdDMcDab5zDeeJanXjiYS45al/yMw2rpqNexvh+rKcj53ap+RUTynIIV6bnuZGXstSvphtS36lTsxbRtGRV7oFIF5j544qkZ3Pvk4URjfj4x6SPOGLWN2b5qgk1mRw2LXQKIQDzi4xHzp7RSDq9+G454EPy2OyrHCiBWmBzRNmAbvTY6DP74V9h/KCb13M6dbOKTtDCaALVEGEvXg6/5sEdBYcbRwEyeejvGv1evw2igrW7FCtqcI9jax1xxbluBi4hIrtMv8oDpqgnImucMUtx6/rTVpVBHMl+xJ9nss5/2QCWyycdt91fy/LtTOWbMXr45+k0mNjbBBog3wz5SSljsHYWIAhES3Myp/A8PsK76NMwHH8ZYdDnx0v2ACe8vgmduhbOuhkMfT76xfjI89kvYfygAEQp5m89httWlRLrMptTjZzNxjum0tMY8luHN77Pj3RKmHNsI5QkYbtXouI3Y67yJIWR++it4EZFBSAW20je8egR5FdUmpx31VfzlvQ+JJxo557BmZhQmUjIqLTv8XHfPybz10VguPWQdi4vex/zQx2P1Z/EaRzKWTRzJY0SJspXpvMI5mMQZwU72UMEIdnE0f8ZkN5dzBrWUEt4SYP0dC3ik6HaIlkK0LfB46GEINiWn5nLsGRGTIJ3bibxUUcwkDM6hifsxHcPo7+dIpvF73lw/jinNjcmvYngjHZkmZ3dv+3ep015EZDDRr3a/STfgW7qeP17dlZMX5fvefIuvP/0GYGKaJt9/Hn54DHxnNFALkb0+/uv2k3h7WznfnbuKT5rbqNs2nJPq/8FWptHKMEK0MIxajud+VnAtAHFCmPjanrXwW27nc3yMUaynlSZ+wwYamJHsYeQMQKLFHcELJu7FLF6SeZwCFmMSw89fCXERET6BSTE+YgSIcQPfY2WgmfXbRnNO0+a2AXntNzS0F9XaH/vilFcAJCI5RjUrkl6mPYG62oYzy9K5m/Kuhn18/ek3CMdSc33Xr4Z/OQQOOwA/+8WxrPlwHNce/DqfrN8Gu+Cq6P+wkUOJtjXHtBAkTBFP8/+g0/2OA0QoBRL8iT9xBrNZyy3JQCVtAGIti5P8q8nkVIvg46+EuBofu9q2kqCU8wjwSUzOZjIHOIff8jE2U22cyKZ9ZcnWrwYgEoGQfZReZ4bF7V7OXr2EREQGOTUDSXa4NfXYuRXWdkyPvL/JNVyIJOBPu2H2M4fw7DsH8e+HrOfM6EewC/ZF4S98rj1QsZgEIO0dgXw0cxC7OIhtfIHMMyVuAYIbEwiSYAExvkyQH2K0/bfAwKSAFYxiBUcAw0l+A9Pi9fyzaQLRRoNguK1AOOS8UaNXd3Cd+iIig0VmI3pJH0o3tkq67EoY04ziFWDUfTCK+1YczskTd/L5Ee/BXtgfhb1A3DPQSB+AmEADRlvzkNcambKah+z7NoAyYlxNhJ8Dqf8xaOuYRJTkNzAh3kjC9LF3V3FyZhTc63us+facqFtwKCKSJ6xmoGxPA0TBSr9IV6+S6Xuti2tHV+VFM0tcw4PCiJ+dDx3HmGEtXHPQaox9UN/c3k+IY3kYH+739fGWIMBOYmyllGV0LzBxitN+/x9XxcT5Aiaj2te2/kasgCUMjEoWzLB//zBbt2u34loFJSIig5mClQHj1QRkH7HWq8tysi5jyohGfnLGMAr9EDSSDRvDDDjvucOpqS3mu9Nfp2RnFPMj+IjktBU4me9Swlb8eNw6GejIfJgYNGJQz0guoBko4lttNSVmyhRgBZ0zJm7bzaQJqZUE0/HR0ZBkBS1WEmVYW8BVW1OQjOE6ZVbcimwzpQBHRAa5PMqsqOE+p3TVXdl+o8LkGCtfOy7Mp4rg4bchVgdHfTCK21dVcO6UjRweqYaq5JAr9mFXWjjAJ5nLe1zEeywFgo7jiOPnLQq4mzizCbCFIn6PQT3Jhicfo6iglX+nmcX4qaaI/6aWl+g6EDHILCtTgI8PPZfGgYK2EeyamoO2PySv7spuz0VEZDBQsJLz3OpVGjumlgQHG/Dd8uTgbl/94zGUFzdz6ej1sB2amlMDFevWQC3EKON+RnEyB/gcJsW2ffqIcxTN/BIw2kKkSxnO+TRxFxE+BfgIsIoSvoif94nyiW58Jh/JgCUChFyWN+HnAQIcaJ/jx62fUjLMj0R9LsGK2zgrXj2CMqGiXBEZREzyqjeQmoEGnFsWwKsXkH1I/erUmxRWwVNPzODDvWV86eC1FO2K0VKdvFngrrZpT9uq9qBlJF+mlFtIhjPW2W2QvKhbw9wbxKnkABvbApUQECDGCdTxCjHKSHQ7YxHBzyNAC8mgZX/bZ60mwM2E+BrYjsL+2DElMzTxmM/2R5nJcbito/oWEckzagaS7HDr7eN8bW8CcgQuTSQHZWuA5j0BHlgxm8PHVHFaYCfUdNy7sCa5SvvU1LaFKBAjTgk3EGcbTdwJlHocq0EySLE38/iAEGEuJsTPcT+TIySDoIKUz+1jFUV8Fjze5Xc8twKVYNtzX/sxgc/X1qzUHrDYa1VERGSwU2ZlQGR6IfUaYr8tw9IWqNAAf37qEGpbClky7W2MGqiPJoOUOqC+bbVm22TVo3ZMh+AdqFjc6lGKMZmNQYxhnNtxQISBZvz8DoM32+a1AvUY7GUYX2jfgrNhxnptL671u0zxtqWhkFe47wz+RESGiDzruqzMSp/rSS8Ur8LaRpJ5kVpobLv/z35o3BLkzy8fwsnjdnJY4wHY1dHsYzX97E++i6a2KUJHb9/kGLPWSLOZDvZmacTgbUxCmHxIIdNJ8C+YlOFnBT7WtzXWzCfB0Rh8RIDHMRy3d3YGLD7bY5COrEqhbYq3nb5FhVF7usVBQYqIyGCnYKVfdXXhdOu14tZ9ubEjRdIAjz5/ME2REBeNfRf2QlNrMjCx6lKsrIr1bntGJcFYDrAKk6k9+DwmUEyEO4hwB8nwJ0aAWwjyo/awJ1kB8yLwYkZbtWIOexYlaJsK2x6b2pqWRpRGel43KyKSr/KowFbBSs6wghPn2CAuPYEikfbey5H9Ph55tYJ55bupiNZBbUegYgUrzkAlQUc2r4a3MRlL9zMq9ixMIOUxxvcwqCXIPd3cZudAxUqY2LMq1vMafyEkYGRZ2NZdKEBH5BJAp7iIDEl5diND1azkLGfBbbjj0RpmpQFeeGkKtS2FfGbsBqjryKpY9/ZrALYyj9f5P97mj+zjAlrxkwBaqexhoNKVYqL8v7Rr+Dwm6FyzEiI1q1Lc9rjPn7yz89gxzbYCl9TAyZuah0REBgv9t3PAuBV/uj3am3/a6lUaSEYjNfDECwcztbieo1qqMHcla1T20tFF+WW+wWv8D3EKAT81LCTElxjBmUQ4Cu86Fed9e5y6CnDK25/ZW2i6io7tGRUrOCkgGaAUkywBtqadgRLKjDDFI2IdKRfXbIrbaa5TX0TyXB41AymzknPcAhZH0NIWt2zdOJz3d47i02M/xKhLbf6pB6oZxavcTJxirJDBpIQIx9HCeQRZjnfQYaRZ1vVoQwbvuQ7k5sbZy8c+noq9RqXIMX1kDmfK8IaOFXzQEaxkErBkkzI1IiJ9RcFKTrMugLYmILPZ6hXMc/+Yis9IcHpoO9Qlky1W808zsJn5+Ih02qpJCa18BtiBj9fo/k0JrSHzox7LmynkW53m2k82e3Bin2cfAM5q+gnRUa9iZViGAVsjI5g+ui65gtVelBKUKHsiIkNUnnVdzkqwsnz5cmbOnElFRQU333xzNjY5RHjds8at23JbE1BbrYp5AP6+ZjJHl+9j5IFWDkRT7wFUC8Ro8NhvHNqGsjdppidnoME2AvwOg93ARxhsAPbi4wWGcSYBnktZ31k4i+O1lRix16ZYwUkpUNY2jWqb9haV0pwIcuiUAx2pliBt77JnVhSwiMgQlUfBSq9/yePxOFdeeSUrVqxg8uTJzJs3j0WLFjF79uxsHF8OCtA/KX+3EW3DyWRGE2zbXMquAyX822Eb4MNkRsVq/rEyKyN4odN4JklhCrmXBFMxOYH0p0GcZJOP/R4+TQS5nQLuzOiTuEXEfscy++BvVjbFHrQUkQxarODljcBoAGZNqUmuYL0hpRlI/ZlFRPJBrzMrq1atoqKighkzZhAKhVi8eDGPPvpoNo5tCLLfE8hir1mJtZetrF47HoDjh+0m0po6norVVTlOjMNZQIAqfNRhUAe0UML3CbCaBBPwbgKKAQ2EuBCD99q2Xg+0EOARQtzd5adxjtPmbPqx16Y4m32cgYrV/DOCZLCy1iynrCDMlCm2mpWAj871KgNRvyIiMsCs0sJsTwOk17/aO3fuZMqUKe2vJ0+ezGuvvdZpvaVLl7J06VIAqqqqe7vbIcJlnJVo8uGtD8qZVNrA2HgL++nIqNjv/RMGCniTuUykmtOJUIqfF0lQQxTwsYlkKOBkAlsp5HB8hPHzJxIch8lBBHkDHx+6Hq1X5Os1Oq2fzs1DXoFKKR2BSkEA3gyP4+jJ+zCK6YhyCJDaDNRV0CIiIoNBr3+9TbPz/8wNo3MvkiVLlrBkyRIAKiuP7u1uhwCXJqBIIlljWw/vbhvNSaN2wf6OmxXaB4JLvVlhjEJW4Ce1JDbBwSRrYgod+zaA6bSygQLOxceb+FkFrOoUkGQSoLg1+VjPQ6RmWAroCFSsWpVRJDtCW9OGspEc2F/IcTP3JFew2ocosb17oHoFiYjkCA0K12Hy5Mls3769/fWOHTuYOHFibzcrQKeAJQKEYe+uIupbCji06AA0d9zP0LoJc5jUGxV6Ze8MDuB9NvsxmUKY5zCTkYBnhqTjHanNPM4mH2uefbA3+92UnYW1znFVrOBlpTkJn5HguLm7O0aI61Rc29+9ghQEiYj0lV4HK/PmzWPjxo1s2bKFSCTCsmXLWLRoUTaObZDK9kUrRnstSwKIwtZtIwCY4a+Dpo5ApZpRrORGlvMGa3mCaj6RUsDtDEv8bMTHB3h3QQYoJcxLxDkpZa5bLYrba6tuxd7rx16n4hyd1j5ZRbVltonh8GLTZI6esI/hY6LJlVKClQJSA5ZM/z0UbIhIHsmzrsu9/oUOBALcfffdLFiwgHg8zmWXXcacOXOycWxDmFtvo3D7bZJ37U5mOiaajcTbimv3MIqlrKWF0SQYBkAd8ynnuwznHs9zrJhFNPE3EhxC8orvbMLzY3I0rTwDLKGQP9iW4Prca9h86Bys2Atqg6T2+Cmjo+lnHDARWDdiDHt2lHDxke8m24dKSQYsgSI6moGsnkD27suZ9g5S0CIieSKPRrDNyi/zwoULWbhwYTY2lYey0dW57f0JIAL764YR9MUpS7S2N/u8wDcI2wIVAJNiqvgxRfyaZANRh47L9k6KmEuUL9HKT3EvuPUBxbRyFwU8hEEspanHWsO5bXuQYm/+Cdpe23sdB0kGKtawKfamH2u6t2UaRYEopxy7s6OtqBBSczI9yayIiEiu0gi2PdLXF8D0229sDlISjGJE28tYeI+zidsClQ5RWjgybfYuGUAsxc8rJBuUvARJcHCnAMTrTsn2ph/7SLTOZh+rqNYKVEqB4aQW2JYB9aUhXjwwhU/M3MawsnhHViUEyayKW5DiVWCrIEZE8lieNQMpWBlQ3bxgtkUAkZifAn8coh3j2xaxC/ecXwg/+1LmOO+/k5xnMoxPUcDV4DnybZAA+1NGnLUHI1YAYh8e3z7ZgxL7NJxkt+QRwOi2aRwwnmTTz3hgdAE8UTiDaMLPotM2J9uGrL7MIasJqJjO2RXwDmAUsIiIDAb6te5XXTUJudVUOC60fjAME6vHeJgAf+OrVONWJxQlyFp8bG6f4yM1pLH2GAf8xPCzFD9VNPMAyQDA0kqQ5wlSnXL/HmsbXq+dzT/2Jh9nUa29oNYaV8XKrIRH+HnkQAXzpu5m2sH1HQOwdGoCKqSjXkXNQCIyRHV9v9lBRb/kA8YZuLgFMtY/j7/jwQehQIJIwo9pwqU8xiucRqSte3HyDLWKZH0UOO7Rk5zbIUFqiBQHgvyVAv6HVn6AQQSTEEFeYTgXdgpAvEajdatRcY5Qa9WoOAd/c94LKFQEfzZmUBsr5HOnfdDRTmS9KaWwNlsZFI3PIiKDXB6Ns6Jf4D7Rm6LaNBfctmiguChKYzTIP1tPYBWn2gIVSO3N46eBqynlxwRpbJ8bx739L5ldSSrmJoq4C5M5+NhNkG1pA5OughTr0V6zEiIZd9iDlTKSGRXrhoVlQEuZn2XVMzlq7D4On1PdUatiJVJSGpm8vj+/4zUer0VEJNfol7rHsnVDQ6/t2C+6bVfltit9WVmYaMLPP+LHE0sOMOLJIEKUwwnyz5TCWCswsTcLdQ5gGoHXPIMSe/dj59gp9vnO+/3YH62uylYTUDmpXZaNifAwh1IbLeTS+a8kZ46mI/USCpHMrHiNXpvJHZj1ZyAiecYqsM0T+pXuF101+VivAyRLZu3zrcfC9ghg7JgWAEoDuwnRSoQCzz0nm3B2p9SUQGqQ4gxacKxnreM2RopzsDd74W0hqc0/bgO/ldoei0jt/TM8CNVFhTy0ZSanTtvB7Fk1HStamZUuAxXnd+l8TgbzRURkIOnXOee4ZQPapoAPChNMmpxs0jmk6HVCREiGGW4NO62EeI0gW1PGPLHYgxQr2+Jkb/pxGx7f2T3ZHrgUkL6g1gpSvGpVGAH31h1BHIMr5r+TOu5+e3FtCamj1tqfgwITERmyVGArSemagjJpJrKv43xuNf9YtRhtGYTieqYcUo/PSLDdLOIfgdNYEHuYPUwjjg+TIAZhTHwU8HfKWdzeDOMWsFgBSoLOwYqzRsUtGHHr5eNVn1JAaudie0bFikHGk8yoMAreLB7L81um8vl57zJhZlNHG5HVXciwcjD27IpbZsVer6JTXkSGADUDSd9xax6yBy0lEKynYHiC6ePqeL95FJcN/we/qpnDsxzEZgJU8RF7qaCZGmLMopXzCfAORazqdKPBZM+f1IDFztkV2SsYSffaOQicFaxYIVgZjsHgfMAICA/3c8eOY5g4vIHPzX8/NavSXljrbP7pbr2KTn8RkcFAv9b9xl6X4nwE9yDF/rztotx2ZT/ikGqefGUGrRN8lNYkOIiPaCJZ8dJIFVt5kQgHAQb7gSLeZDZnESJZ72IPWOyPzmLbdPfxcb4udMxzC1bsnXis5h/7qLVW5uTXDXPZFS7hJwtfomBMIrUStwgw7Fuyvh/7+CrO715EZIhRZkWyz220VetibDVzlCV7v4yOMO/4Pfz1H4fwZvE4JrGbPUANyTsAvc7/EeEQzLbCWxNoZh57uYHZXOtaUOtVr2Lv+eNs9imic3DirE1x9gCyZ1asYKUY8FtBSDm86R/LXzYfwqJZmzjqmKpk7x+rL3MpUOIDxtDR0dmeYcnk3kDKsoiIDCb6he5T2RpvxQpc2gKW0n0cdcI+Soe18nz9FK5mN+Ukr+X7CbCPf8FM3jCnXYJh7OISjm8LVpwyqVdxZlGcNSnO4MW6bY9VaGvPrFiPw6wV2yKXfcOGcdP645g6op4rTncU1aYMAucMUOyFtV69gTLNuujPQkQGOY1gK6m6E5A4m4Ds87EtcwtUrLxECRTtIzjK5BPztvHkyzP4SmkB5Q2tjAcOpNxaMJVJiFJS61YsXsGKsytyJsGJs9ePc1yVQiBk3XLZNsBbTWEB/2/jKUQSfq771D8pLI+n9v5J6QFkz9Oky6T4XebhMc9LV+vqz0hEpC/pV3ZAOetVrCDGeW8bqxy1rSS1rY/vuYs28dg/KvhTcCYX8TY1QBMRpvAa2zgRe9BiEGUGT1BGavOOxS1YcY5G61WPUugyzxpK37k8FHR8nFIwC2BVZDy3v3cMjbEQN561koMOaugoZimyTcZw3DMrbkGeTm8RGcJUsyKpetPc47atAMmzzN78Y91fuRFKimBcM5Mqm/jk8R/x6KqD+fTkDzl8RyNB4Bou57u8QowQUYoJ0UgB9SzmGspJHRbf4tYTyDkqrXPcFK/gxJ55MZzVt7a62HiBwWst43l426G8c6CcKcPrufFfV1Ixo67jFsxltslegWtlmVL6FnkNt6/ARUSGGDUDSfd4BTLOcVWcrOyKdQG2j7cyBsq2wWi47LJ1vLJmIj+un8dto19ixv4Eft7nPg7maS5hG3OYxio+xu8ppqnT/Xu8uA0Gl0lvnyBtAYp1uI7qW3MYbI6W8cKBKTy/dwrV4SLKi5q58oQ1fPrIDwmONjvf1dBqAmofWt85tJxbcGL/FPbv3O21/gxERHKZfqX7nVu9itvdlu31K/ZeQWXAGBhWDaOaGT0rzLfOf4Mb/3AiPxlVyX+MfJ1DDpgEOcAMfkaUjkygfUA396qWDvb7CFl1K87h861MSqfsif11CJp8AdY2l/PGgXGs+nACe1qK8RkJ5k3Yy1dnv8VJM3fjLzBTx9+3mn2s7sopQ+vbh5bralwVtwAl3WmvPwkRyRNqBpLO0jUFdTe7YgUolpK29axpEhCGCe9DIsFpn93JF2vf4ZdPHU7TmBDXHvY6c3a0YjYmG46iti1lklVxrmu4jbHvDE7aKnAjfh/boqVsah7JB00jeXfXaLbUj8DEoNAf46hJ+7hwxnucdOguRgyPpLYdOYe2tTcBhaw7B1nNP84mIOegcPbC2t6c5voTEREZaPolzqpMa1e6yq7YMyv22hWrB0xbdoXJUL4NJsLiSz+gtCjCPX85iktqz2LRmM18fMw2DorWMyxGx22WIbNIxWJvN2prD0oE4UCikD0UsytSzI7mUra3lPJRy3B2NJWQMJN5m6JglMPKa7jokPc4cnIVsybvJ1SS8B6cxdltyNZTqPOw+l7NQOB+WvfVqa4/IRHJQRpuX3omk0DG2YXZel5oe7QGqW8EwhBqhIk1EIdPf3YLRxxaxa8enstDG2eyzDyMIn+U8YVNFPuiBH0JDExMwwDAwMRvmASNBEEjTtBIEPIl8BsJDJK1WbGEj3BrgKZ4kPp4iAORQmpaC4maHRGPz0gwoaSJqaMaOLliJzNG11ExoZaJ5Y34/HQEJva7G1pD4trrWpzBilWr4tkDyNlrqqvC2q4CGhGRPNIXBbZGH2wzA/rF7lfOZh+v4fft/yyFJMPjGMkgBZKNO3SsO2EdFNdDGUwZ38h/Vb7K/vcKef3NcWz6aCT7aotobAnSEg9gkjzXDAMSJsQTBtG4n2jMRyTuJxb3EUsYgIFhmAR8CQoDcYpCUYaXRJhUVM3okjBjRzQzflQTE0c3Mn5UE8GQmdrGZK/Mdbs9s63pKGW+FYdYrT6hIjqPVuvWbdnZBOT83t2ed7VMRERygX6ds643g8TZH+2sqzp0FNlaAUwMaIThWyFY396LZnRxmLMO/QhaP0rGNhE631rZirrtNwhyznMeBqT2a7a/dvZ3dt5YyF7h6xa4OIOVYuho/nHer9leq+KWTfEquO0O/XmIyCDVV81AA/SzqF/jPtHbYlvrNXQOXmJ0FNxawsl1hu2Aifs66jya6QhUWkmeuM47Flrz7K/TBSwWZ6DifO4VvNgzLl5Fu1ZpTqiI7g0Al+nprNNeRGQw0a/2gEsXpFivC0lGHXFSuzFbwh3rGWUwshqKa6CJju5A1tudQYkzq+IWvFjs7Z/Ovs9+x3y3zAuk9p22Z1qczUABqx3Iyqp49QByBirpqofVZVlEhghlViQzzqAj3TKv5h9rWZiOi7N1MXYWmpYB44Ha5BTanyy+tQpxCdPebGQm3IMT53O3YMbJ/sfgjBN8Lsu8sizWY8BKC1mBymhSewI5uyp3NWptuoxLb09//fmISA7TCLaSfZk2A1kFt871rGyL9VhCMkBpor2uxQpWjBgE7OO2uExeAQ2O3WcSufsdz92ahwzrvsz2z1DmeO1VUGvPqmTrlNafhohIrtAvcpM9bkcAACAASURBVJ/rTv1KV4W2lgJSu+1a77WaSKyLvD2jYsusECNZxILttWN5lwENyYAGOgcsbtG8vXkI2kaaswcbVvBRQueRaktIDU7SDbHv9hrHutB5fRGRPKJxVqT7stEkZM13BjP2ewbZg5PRpAYhrXgHHm6T9b64Yx6kBDTE2g41ZluGy3Pn57VnhOxBiFVd65ZdKaZzRsXePJZJ0JIt+tMREekv+sXtV5lmWbyagJysweKs91iFuPaB5JwZFfsUT7PM7X32AAY6BS+dApZ0n9V6dAYe9uDL2VXZrU4l3Xbd5ouIDBGqWZGe6ypggdQAxK1ZyJ5liTleF5DMohTiHYi4BRfOTEq6YMWaih3biDtee31O++e1JmssGftkBSz2ZW7Fs929D5BOexGRwUS/2gPC/rV31TTkDFCcj9Z69sl540O3IMLrvV6BSdxlXiZBUHcCFqtmxR6wOAeDc6tbcesNZH90PnfuP5N5IiKDiGpWJLvSBS5umZZ023ELEryexx2vnU06boFJAe7ZF2yvcXmfnbNpy1m7km6UWregJN3Q+m6vRUSGCAUr0je8CnGdAY1X8a1X1sXr0R5MOJuNnE1NbvMKSA16vJqe3D6T/diddSv2GhW3OpXu9P5x25+IiAwmznFIJSd4XZTdlnld7DOZnKPCFpA6WmwmU7Ft8lqnsItlzsmrmDZdrYr9u7G/hu4FLqp5EZE8YJIssM32lIHly5czc+ZMKioquPnmmz3Xe/jhhzEMg9WrV3e5Tf3qDgrpLrZuTUTO7ItbdiNdM5Fbk49X01C6ydnUlEl2xR6oOGtT7MGLn87Bi317XvsREZG+Eo/HufLKK1mxYgWTJ09m3rx5LFq0iNmzZ6es19DQwJ133snxxx+f0XaVWclZXnUaHXY17OaNXetoirS6rl/VVMvqXeuoDTfhfuF3BgBeWQ57d+KusiJe7003OTMlXqPUdhVsZBKwZLpcRGSQi/fB1IVVq1ZRUVHBjBkzCIVCLF68mEcffbTTev/5n//Jd77zHQoLCzP6KPrFHjA9+eqT76lvrWfxw5fwwta/E/KHiCXiXP+x73HtyVcBMSLxBJc/9g3+tP4RQoECIvEIX628lJ+ceT0+wz42i3276WpVrMnvWE6add3qVgroOruSLlBxBjWZZFW68z3rz0FE8sQA9QbauXMnU6ZMaX89efJkXnvttZR11qxZw/bt2zn77LO59dZbM9qufp37RXa/5i/89Us8v+XvtMZbCceSw+Zf/9JNVIyawb/OWsR3Vnyfh999jHC8lXA8ufwXb/yGySMm860TvkpqIS6kBinWa7dgw2oGsgcL3e3KjMtz8A5WnEGLM1Cxv9/teabLM6U/GREZuqqqqqisrGx/vWTJEpYsWdL+2jTNTu8xDKP9eSKR4Fvf+hb3339/t/arX94+lY2vN3Ub+5v387dNK2iNt6bMb442c8srd7Bo5jnc++ZvaIm1dFr+01fu4VsnfKMH+/fq7ePMtHQ1OYMjHK/dAhS34/EqqlVWRUSkXR+MYFteXp62IHby5Mls3769/fWOHTuYOHFi++uGhgbWrVvH/PnzAdizZw+LFi3iscceSwmCnPQL3SeyH6RY9rfUEPAFOgUrAHsa9hKJR2iNdV4GUBM+4LJ9t67Q9nW8mm26EqBj3BVn1sa+b2u5M7Pi1fyD4z321+mORURE+tq8efPYuHEjW7ZsYdKkSSxbtow//OEP7ctHjBhBdXV1++v58+dz6623pg1UQL/iWZStrzL9dqaXTSPoD0I0db7f8POJGZ9gWLCUGSOns7FmU6f3Hj/puJTtv7V7Lc9teY7jJ1dyytSTOh1HTUsVa/e8w8TSccwccxDpsyb2LAt0rn/B5dH+3CtAsYqvvOpUvLIp6QKwTOZl+l4RkRw0QDUrgUCAu+++mwULFhCPx7nsssuYM2cO1113HZWVlSxatKhH2zVMtwamPlZZeTSrV7/Q37vtQ32XSXFb/sBbv+UrT32N5mgzAEFfkNKCEtZ8aTVTR0zlyQ1PsWjZv5IwO3KAAV+AV7+4kmMnHkMk1szc/z02JaAZW1TO+itXMaaoDNM0+c8XbuS2V35OQSBENBHliHGzeeJz9zG6qJT0NS3Q+QaJpHl0fr5C2+t0dSpuAYtboJJJ05CCFRHpW5WVp7N69Zr+21/AYHVpH2z34GMzGhcl29R1udf6N1ABuPioL/DUhY/zqYqzmFM+my9VLmHtl99k6oipADy24XECvtT3BHwB/rb5GQDOWXZBp8zLvuYqTvnVGUCAh9Y/xu2v/h/heCt1rQ00R8O8sesdFj/8dbwzIPYmHL/LPK91u5rs20r3ffV1IKFARURkoOgXuFf6N1DZcmAL//33/2Hl9lcA2N2wm3CslYSZ4MK5i9m0fzOfeXgx1c3VnbYSjoW5e9XP+f6p/8EzH65w3dMH+zcRjoW57Z930dSWtbFEE1H+sW01exurGFdS3r2P2P45vLpMe2VL0o1Q21Vzj9syne4iMkToRobSP/Upqcs27t9I5b0n0BRpIm6mnoHvVb/PSb86tcu9HWgrsLU3Dzk1RsLsb6lxPyKfn9pwM+NK3IKAmMtrez1L3GU9Z6BiPfptz3vb7NPT+SIikivUDNRt/VNIa9cYaeSLjy2hMdLYKVDprrf3vsvw0HDXZSF/iDFFY1hYsYCgL9hpeWGggINHHdz2yquGxO21FYC4Fcm6rYfLtnA876opSEGIiAxxAzCCbV9RsNIt/XUB7NjPg+v+yLhbJ/HytpVpMyKZCMfCHPmLI2mKNrku/89Tvw8E+P6p3+lU82JgcNMnfkDAZ9Wa2I/VK0DxCkbcAhe3ebg8ej3vblFtuvk9XU9ERPqCgpUBkVnzz6aaTXzx0StojjZjkr1OW17ZmV+uuR+AZzZ37qnlw8cDb//JdozZmApIBigF3XyfJZO6FS8KQEQkjw3gXZf7gn6xM9b3zT+v7niN6174b9bvW8+s8llMHj6ZSCySpf12bWvdVi7688W8tWdtpxFw48RZvXMNuxuqmVA6ho7P4TUybbrB5nBZJ10Q0lWTT7r5vf1305+IiAxSKrAdavr+a3px699Z+Ptz24OEXY278Rt+4v18ti1b/5BnFsfv89MQaWQCY2xz7UWz1nNnwOIWuLjNy7R5R7UpIiJDiX7pu9Q/X9G3ll/bOZvRy2LanoibcXyGDx8+Eo6cX3GomIpRM0i2HroFIumCk0x1JzjpKovS21oVEZFBKs+6LqtmpV95XyTX7n2nH48jvYSZwGf4GBYYBkDACFAULOLX5/wvPiPUtpZbU41X841XAOJVj+K2rXTPM3ndEwpqRERygX6N0+q/r8dn+AYkk+LlyPFHcNERF7Liw+eYUXYQVx73ZQ4bc3DXb0zJrKTLvljPne/1et2T3j5exyciMgQMYEFstimzkiNyKVCBZHblqhO+yZP/v727D46qvvc4/llYgqQ8KCIIRB7yoDwlRAiFuWO9EgkIWpCCisXRjo6xPuBt7UDn3jtVxlsKWqdjRxnatNIbRy/MHedqMiKBhipYRxsD+FwUKXhJBAkPEaUYCPndP2j2JtlNdjd79jz88n7NZCa7e/ac3y9nc37f/f6+55zvV+qqUf+kRf99qy5cM1LF5fP0dv27/1gqXiYlkUxJZ2f5JBqoxEJWBQAsuswKwYp7uhr80j8whhRSv3A/jR40OjK905XeofMXZ3uqZq3urPyhPmr4q75sOqlXD7yua8rnaufnrdNW3QlUkjk1OV6gQlYFAGxHsNIp9wa2j49+rP4Z/btcppd6KaRQ1PMjB4zU3//t7yocVtjpez+5/xMdWX5Eex7Yo/3/sl8LrlgQCUZi6Rfup1vzl6i5pVkP/+mRyN2dW/397Gn9+58e7aK1idSqdCXWMokGKhTVAkBrfS2ZFaTMGKNlmx/Slb8tUlNzU6fL9c/or6kjpmrUwFH6Vp9vSZL69u6r/hn99cLNL6hfn35RZ+60ygxnquF0g4ZkDtGoQaMUCoX0xOwnNCRziDL7ZEZvq09/jRsyTvcW3aPDXx/WmXOxr/Oy+/C7bR515zTjRDIrsd6X7HPdQWADAH7CUTkmp/8ssde3+dMt+sPuZ3W6+Zt2z4cU0ndGXaW8iy/X2Zazuj7vei0ct1Bnzp3R8+8/rx2f7VDe4DzdPfVujRgwQpI0YcgEvf/F+1HXSGlRi0YNGtXuuZEDR+qTZZ+o/J1y/aX+Lxref7iazjWp8ZtGXZd7nRZPWHz+PkGhUKfXzR1z4Wj9f/Gs2vze9rmO/e94SnPH5WK9J9Xn470GAHayqL6Wo7iXntn9nzHv0zMgo79WXvOwZo6dpfqT9frRlh/pBy/9QOFeYS3NX6p116/TgL4D2r3np1f9VJWfVLabsrkgfIGuy7lOWQOzorYxsO9ALZu+TMu0rNP2XRC+QD8sKtVvd/6u3Xoz+/TTyn/+1y561lngEutxMtyY4uFfAkDwWXaZFaaBvNTppfRDIZ1tOatTZ05p2u+m6cW/vqjTzaf11Zmv9Id3/qDi8mIZ0z7nUXhpoV685UWNuXCMMnpl6ILeF2jJxCV6ftHzKbXx8ZI1un/avcrsk6mM3hka9q2h+u0NazU3b/Y/lkik/qSrx4nqbqBC8AEAQceRPIp7f5KlBUv06oEdUdmVFtOi74y6Ss+991862XSy3WnNTeeatOfYHv35f/+s74z+Trv3zc6Zrb89+Dc1ftOozD6Z6hvum3Ibw73CerxkjVYV/4dONh3XRf0uUq9Qa4zb1RRQx987Lq8Oz8XcerzWpfh6qssDgH/ZNA1EZiXtOh8Ab5qwSMVjZ6p/xvmi2YzeGeoX7qfyG9erX59+2nVoV8xponMt5/TBkQ9irjMUCumifhc5Eqi01ad3H12ceXGbQKUzyV68LZlC23jrSub1VJcHALiFI7SHevfqrYol/6M/7X9Vr3y6WYMvGKzbCr6v0ReOliTlD8tXZp/MqFOHe/fqrcsvvtyLJndDvLqV7qzPiWUAwF621axwVG/H/T9HKBTStdnFuja7OOq12wpu0yOvPaJvmr9Rizmf0OvTq49GDRqlmWNnut1UdR1odDYFlMjjZLafDvwbAICfMQ3kYwP7DtRbd72lmWNmqneot/r06qOF4xdqxw92JDAd44ZkTheO9TiZC8QlGlAQeACAbReF48juczmDc1R9e7XOtZxTKBTySZDSmXgZk85e9/JibvwLALCTTQW2HKkDonevzi+P71+p1qcksx0AgK04yvtaxyu++lGy9SkdT2N2YvtevBcA/Mu2Als/zynAU10V0jrBifUQqABAT8ARG2mQ6Nk/Xp0VxMcegP1syqxw1I7gT9F9iQQdiRbXpjujAwD2M6LAFq4KQt1KLJ3dfTmRoCadgvi3BICejSO354IajHTk1pk/qbDh7wwAibFpGogCW7iMgAEAkBxGDsTg5GnFThbWptIOAOg5qFmBB2yZKmorCNNGABBcTAPBYk4HEMncPygdbAvyAKDnSSlYWb58ucaNG6eCggItXLhQjY2NTrWrh0kkQHAjC5HoNjoLAPx0b55kbn4IAHax7UaGKQUrJSUl+uCDD/Tee+/p8ssv1+rVq51qF2IK6rRJIndWdnN7AIAgSSlYmT17tsLh8wPDjBkzVFdX50ij7OJ0gJGugMXrQMipTAiBCgBI5wtsnf7ximNH9vXr1+uWW27p9PWysjKVlZVJkhoajjq1WfhOqmcApVJ4S6ACAJJ9NzKMe3SfNWuWDh8+HPX8qlWrtGDBgsjv4XBYS5cu7XQ9paWlKi0tlSQVFV3Z3fZaLJkzfpw+O8jrrEpHbfvm9RVvAQBei3ukr66u7vL18vJyvfzyy9q2bZtCoZBjDUM8TgUsbl/vJNntEYwAQLJ6XGalK1VVVXrssce0fft2ZWZmOtWmHizZACSVgMVv2RQAAGJLKVh54IEH1NTUpJKSEknni2x/85vfONIwu6Tzom6tQUcyU0hO6CpLwgXfAMBrXMH2Hz799FOn2oGI7gY2bYODWO8neAAABBMFAVbyc2BC1gUA0o2aFUASAQcA+JtN00DcG8g1yQzufg8EUm0fMTIAIHGMGgAAWMa2aSAyK77l1+yKX9sFALAVmRVXuXkdlXRwMlCh0BYA0smmzIqfRkLE5JeAhcACAILCiAJb9DgEKgAA7/jhKzvi8jK7ks5AhakgAEgXm6aByKxEuDVodnc7XgzqBBIAAO+RWQkUNzMsqQQqBDkA4CXbTl0mWPFEqndLTuduI9AAABtQYAuPpSugIFABAPgPmZXAag0snNiFXgYpFNkCgNNsmwYis+IZpwboVGtLnA4UCDwAAM4is+Ipp+pPYgUIsdZLIAEAPYVNNSsEK9YiMAEA2IFgBQ7qboBE3QoAOMm2mhWClXa8uFKsX+79AwCwiU3BCgW2vkBWAQCAzvCVHg4h4AIAv+Cuy0iTIA/2QW47AMDvyKxE8foOxz11l1BkCwBOsqlmpaeOjD4WtICFAAMA/Ma2s4GYBkIKCFQAAOkXpK/wPUgQsisEKgDgZxTYWs8PA7Ef2tAZP7cNAGAbv3997+H8mGEhUAEAv7OtZsVvIyGi+ClgIVABgCDgOivwQLO8DxS83j4AoKfyy1d2H/JTRqOVV/cuAgAEDdNA8FBr8JDuXUeQAgDwB4KVwEpX0EKQAgBBZ1uBLTUrgedUcOGHuhgAAKIRrHQpKIN3c4ef7rwPAGCTljT8JKKqqkpXXHGFcnNztWbNmqjXf/WrX2nChAkqKCjQtddeq88++yzuOglWrNQxeOnsBwBgo9ZpIKd/4jl37pzuv/9+bd68WR999JE2bNigjz76qN0yV155pWpra/Xee+9p8eLFWrFiRdz1EqwAAABH1NTUKDc3V9nZ2crIyNCSJUtUUVHRbpmZM2cqMzNTkjRjxgzV1dXFXS/BSlxkIAAAweNFZqW+vl6XXXZZ5HFWVpbq6+s7Xf6ZZ57R3Llz466Xs4EAAEBCGhoaVFRUFHlcWlqq0tLSyGNjTNR7QqFQzHU999xzqq2t1fbt2+Nul2AlIX68QBwAALGl63L7l1xyiWprazt9PSsrSwcPHow8rqur04gRI6KWq66u1qpVq7R9+3b17ds37naZBgIAwEJeTANNmzZNe/fu1f79+3XmzBlt3LhR8+fPb7fM7t27dc8996iyslJDhw5NqC8EKwAAwBHhcFhPP/205syZo/Hjx+vmm2/WxIkT9fDDD6uyslKStHz5cn399de66aabVFhYGBXMxFxvuhtuD6aCAADB4OVdl+fNm6d58+a1e+7RRx+N/F5dXZ30OsmsAAAAXyNVAACAhWy6NxDBSlKYCkofrmcDAE7hRoYAAAAuIk2QNLIrAAD/86rANh3IrAAAAF8jRdAtZFecRb0KADiJmhUAAAAXkR7oNrIrAAB/si2zwmibEgKW1DEFBADpQIEtAACAS0gLAABgGdumgcispIxpDAAA0onMiiOoXekeAj0ASBebalYYYQEAsAzTQOgEWYLk8PcCACSGzIqjmA4CAPgDmRUAAACXkAZwHNmV+JgCAoB0MqLAFnERsHSOQAUA3MA0EAAAgEv4+p82ZFcAAN7g1GUkgSmP9vh7AACSx1d/uIRABQDcZFOBLZmVtGOQBgAgFWRWXNHT61cI2ADATbbVrPTkEdRlPTVgIVABAC8wDYRu6mkDd0/rLwAgHXriV32P9ZQMC4EKAHjFtmkgMiuesH0gt71/AAA39YSv+D7VUzIsAAAv2JRZYbT0lI0BC1kVAPAaNzKEw1oH96DvCoIUAEB6BH2EtEiQsywEKgDgNzZNA1Fg6ytBHPSD2GYAQJA4Eqw88cQTCoVCOnr0qBOr6+GaFZwAICjtBICepfXUZad/vJLyvMPBgwf1xz/+UaNGjXKiPYjwcy0LQQoA+JltBbYpZ1Z+/OMf6/HHH1coFHKiPYjip8AgSFkfAIAtUvraXllZqZEjR2ry5Mlxly0rK1NZWZkkqaGB6aLk+CHLQpACAEFiU4Ft3NFv1qxZOnz4cNTzq1at0i9+8Qtt3bo1oQ2VlpaqtLRUklRUdGWSzcR5bQMGNwIXAhQAgPfijnjV1dUxn3///fe1f//+SFalrq5OU6ZMUU1NjS699FJnW4kY0hW4EKAAQNDZVrPS7VEuPz9fR44ciTweM2aMamtrNWTIEEcahmSkGrgQoAAA/MuPp5ogJQQeAIAeVrOSqAMHDji1KgAAkILW66zYgivYAgAAX2MaCAAAC9lUYEtmBQAA+BqZFQAALGNbzQrBCgAAFrIpWGEaCAAA+BqZFQAALGPbFWzJrAAAAF8jswIAgIVsqlkhWAEAwDJMAwEAALiIzAoAABZKxzRQKA3rTASZFQAA4GtkVgAAsEy6rmDrVdBAZgUAAPgamRUAACxk09lABCsAAFjGthsZMg0EAAB8jcwKAACWIbMCAADgIjIrAABYiAJbAADgW0wDAQAAuIjMCgAAFrJpGojMCgAA8DUyKwAAWMa2mhWCFQAALGRTsMI0EAAA8DUyKwAAWMaIAlsAAADXkFkBAMBC1KwAAAC4hMwKAACW4dRlAADgexTYAgAAuITMCgAAlrFtGojMCgAA8DUyKwAAWMimmhVPgpU9e/aqqGiWF5t2RUNDgy655BKvm5E2NvfP5r5J9C/o6F9w7dmz19XtlcyZo6NHjzq+3iFDhji+zkSEjDHG7Y0WFRWptrbW7c26hv4Fl819k+hf0NG/4LK5b26gZgUAAPgawQoAAPC13itXrlzpxYanTp3qxWZdQ/+Cy+a+SfQv6OhfcNnct3TzpGYFAAAgUUwDAQAAX3MlWFm5cqVGjhypwsJCFRYW6pVXXom5XFVVla644grl5uZqzZo1bjTNEcuXL9e4ceNUUFCghQsXqrGxMeZyY8aMUX5+vgoLC1VUVORyK5MTb180NTXplltuUW5urqZPn64DBw6438huOnjwoGbOnKnx48dr4sSJ+vWvfx21zGuvvaZBgwZFPrOPPvqoBy3tvnifNWOMHnzwQeXm5qqgoEC7du3yoJXd8/HHH0f2S2FhoQYOHKgnn3yy3TJB23933nmnhg4dqkmTJkWeO378uEpKSpSXl6eSkhKdOHEi5nvLy8uVl5envLw8lZeXu9XkhMXqm03HzFj9s33M84RxwSOPPGJ++ctfdrlMc3Ozyc7ONvv27TNNTU2moKDAfPjhh240L2VbtmwxZ8+eNcYYs2LFCrNixYqYy40ePdo0NDS42bRuSWRfrF271txzzz3GGGM2bNhgbr75Zi+a2i2ff/652blzpzHGmJMnT5q8vLyo/r366qvm+uuv96J5joj3Wdu0aZO57rrrTEtLi3nzzTfNt7/9bRdb55zm5mYzbNgwc+DAgXbPB23/bd++3ezcudNMnDgx8tzy5cvN6tWrjTHGrF69OuZx5dixY2bs2LHm2LFj5vjx42bs2LHm+PHjrrU7EbH6ZtMxM1b/bB/zvOCbaaCamhrl5uYqOztbGRkZWrJkiSoqKrxuVkJmz56tcPj89fVmzJihuro6j1uUmkT2RUVFhe644w5J0uLFi7Vt2zaZgJQ/DR8+XFOmTJEkDRgwQOPHj1d9fb3HrXJXRUWFbr/9doVCIc2YMUONjY06dOiQ181K2rZt25STk6PRo0d73ZSUXH311Ro8eHC759r+j91xxx166aWXot63ZcsWlZSUaPDgwbroootUUlKiqqoqV9qcqFh9s+mYGat/iQjymOcF14KVp59+WgUFBbrzzjtjpjPr6+t12WWXRR5nZWUFcgBZv3695s6dG/O1UCik2bNna+rUqSorK3O5ZYlLZF+0XSYcDmvQoEE6duyYq+10woEDB7R7925Nnz496rU333xTkydP1ty5c/Xhhx960Lrui/dZs+X/bePGjbr11ltjvhbk/SdJX3zxhYYPHy7pfIB95MiRqGVs2I82HDNj6SljnlscC1ZmzZqlSZMmRf1UVFTo3nvv1b59+/TOO+9o+PDh+slPfhL1/ljfykOhkFPNS1lX/Wu1atUqhcNhLV26NOY63njjDe3atUubN2/W2rVrtWPHDrean5RE9oXf91civv76ay1atEhPPvmkBg4c2O61KVOm6LPPPtO7776rZcuW6cYbb/Sold0T77Nmw/47c+aMKisrddNNN0W9FvT9l6ig70dbjpkd2TDm+Y1j9waqrq5OaLm7775bN9xwQ9TzWVlZOnjwYORxXV2dRowY4VTzUhavf+Xl5Xr55Ze1bdu2Tj9wrf0ZOnSoFi5cqJqaGl199dWOtzVVieyL1mWysrLU3NysL7/8slupUK+cPXtWixYt0tKlS/W9730v6vW2wcu8efN033336ejRo57dFyNZ8T5rfv9/S8TmzZs1ZcoUDRs2LOq1oO8/SRo2bJgOHTqk4cOH69ChQxo6dGjUMllZWXrttdcij+vq6nTNNde418gU2HTM7KjtZzKoY57fuDIN1HYu/MUXX2xXNd1q2rRp2rt3r/bv368zZ85o48aNmj9/vhvNS1lVVZUee+wxVVZWKjMzM+Yyp06d0ldffRX5fevWrTH/Dn6QyL6YP39+5MyDF154QcXFxYH5VmCM0V133aXx48froYceirnM4cOHI998ampq1NLSoosvvtjNZnZbIp+1+fPn69lnn5UxRm+99ZYGDRoUmXIIig0bNnQ6BRTk/deq7f9YeXm5FixYELXMnDlztHXrVp04cUInTpzQ1q1bNWfOHLebmjTbjpkd2T7mecKNKt7bbrvNTJo0yeTn55vvfve75vPPPzfGGFNfX2/mzp0bWW7Tpk0mLy/PZGdnm5///OduNM0ROTk5Jisry0yePNlMnjw5cpZM2/7t27fPFBQUmIKCAjNhwgTf9y/WvvjZz35mKioqjDHGnD592ixevNjk5OSYadOmmX379nnZ3KS8/vrrRpLJ9zUPvgAAAOtJREFUz8+P7LNNmzaZdevWmXXr1hljjHnqqafMhAkTTEFBgZk+fbp54403PG514jr7rLXtX0tLi7nvvvtMdna2mTRpknn77be9bHLSTp06ZQYPHmwaGxsjzwV5/y1ZssRceumlJhwOm5EjR5rf//735ujRo6a4uNjk5uaa4uJic+zYMWOMMW+//ba56667Iu995plnTE5OjsnJyTHr16/3qguditU3m46Zsfpn+5jnBa5gCwAAfM03py4DAADEQrACAAB8jWAFAAD4GsEKAADwNYIVAADgawQrAADA1whWAACArxGsAAAAX/s/b3IJW6OoD50AAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<Figure size 720x576 with 2 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"xs = np.linspace(-5, 15, 1000)\n", | |
"ys = np.linspace(-5, 5, 1000)\n", | |
"\n", | |
"xx, yy = np.meshgrid(xs, ys)\n", | |
"\n", | |
"zz = model_rbf.forward_numpy(np.array([xx.ravel(), yy.ravel()]).T).reshape(xx.shape)\n", | |
"\n", | |
"plt.figure(figsize=(10, 8), facecolor=\"white\")\n", | |
"plt.title(\"RBF NN\")\n", | |
"img = plt.imshow(zz, cmap=plt.cm.hot, aspect=\"auto\", origin=\"lower\", extent=(xs.min(), xs.max(), ys.min(), ys.max()))\n", | |
"plt.contour(xx, yy, zz, levels=[0.5])\n", | |
"plt.scatter(X[:,0], X[:,1], c=np.where(y==0, \"blue\", \"green\"))\n", | |
"plt.colorbar(img)\n", | |
"plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 95, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"text/plain": [ | |
"array([[0.98364174]], dtype=float32)" | |
] | |
}, | |
"execution_count": 95, | |
"metadata": {}, | |
"output_type": "execute_result" | |
} | |
], | |
"source": [ | |
"model_rbf.forward_numpy(np.array([[123.0, 456.0]]))" | |
] | |
} | |
], | |
"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": "3.6.7" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} |
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