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"output_type": "execute_result" + } + ], + "source": [ + "updated_embedding_1.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "id": "d82992c5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "torch.Size([1, 8])" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "vs[0].shape" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f73b719a", + "metadata": {}, "outputs": [], "source": [] } diff --git a/posts/2024-forecast.ipynb b/posts/2024-forecast.ipynb new file mode 100644 index 0000000..3faee0c --- /dev/null +++ b/posts/2024-forecast.ipynb @@ -0,0 +1,570 @@ +{ + "cells": [ + { + "cell_type": "raw", + "id": "12a1fd37", + "metadata": { + "vscode": { + "languageId": "raw" + } + }, + "source": [ + "---\n", + "author: Nipun Batra\n", + "badges: true\n", + "categories:\n", + "- ML\n", + "date: '2024-5-30'\n", + "title: Forecasting\n", + "toc: true\n", + "\n", + "---\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "id": "c1e75d2d", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline\n", + "%config InlineBackend.figure_format = 'retina'\n", + "import torch\n", + "import torch.nn as nn\n", + "import torch.nn.functional as F\n", + "from einops import rearrange, reduce, repeat\n", + "import time" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "be63f053", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 351, + "width": 537 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# sine dataset\n", + "X_whole = torch.linspace(0, 100, 10000)\n", + "y_whole = torch.sin(X_whole)\n", + "\n", + "# split into train and test\n", + "X_train = X_whole[:8000]\n", + "y_train = y_whole[:8000]\n", + "\n", + "X_test = X_whole[8000:]\n", + "y_test = y_whole[8000:]\n", + "\n", + "# plot\n", + "plt.figure(figsize=(6, 4))\n", + "plt.plot(X_train, y_train, label='train')\n", + "plt.plot(X_test, y_test, label='test')\n" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "dd0f948a", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "torch.Size([8000])" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_train.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "74b9f4bd", + "metadata": {}, + "outputs": [], + "source": [ + "context_length = 100 # history\n", + "prediction_length = 10 # future to predict" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "08983ddd", + "metadata": {}, + "outputs": [], + "source": [ + "class MLP(nn.Module):\n", + " def __init__(self, input_dim, prediction_length):\n", + " super(MLP, self).__init__()\n", + " self.fc1 = nn.Linear(input_dim, 128)\n", + " self.fc2 = nn.Linear(128, 128)\n", + " self.fc3 = nn.Linear(128, 128)\n", + " self.fc4 = nn.Linear(128, prediction_length)\n", + "\n", + " def forward(self, x):\n", + " x = F.relu(self.fc1(x))\n", + " x = F.relu(self.fc2(x))\n", + " x = F.relu(self.fc3(x))\n", + " x = self.fc4(x)\n", + " return x\n", + " \n" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "69b3927d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(torch.Size([100]), torch.Size([10]))" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "i = 0\n", + "y_train[i:i+context_length].shape, y_train[i+context_length:i+context_length+prediction_length].shape" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "id": "2bc5aa36", + "metadata": {}, + "outputs": [], + "source": [ + "# create training data\n", + "def create_train_data(X, y, context_length, prediction_length):\n", + " Xs, ys = [], []\n", + " for i in range(len(X) - context_length - prediction_length):\n", + " Xs.append(y[i:i+context_length])\n", + " ys.append(y[i+context_length:i+context_length+prediction_length])\n", + " return torch.stack(Xs), torch.stack(ys)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "id": "4961f24c", + "metadata": {}, + "outputs": [], + "source": [ + "Xs, ys = create_train_data(X_train, y_train, context_length, prediction_length)" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "id": "8294294b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 74, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 351, + "width": 516 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the first training data example\n", + "plt.figure(figsize=(6, 4))\n", + "plt.plot(Xs[0], label='context (history)')\n", + "plt.plot(range(context_length, context_length+prediction_length), ys[0], label='prediction (future)')" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "id": "f73b719a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of parameters: 47242\n", + "Epoch 0 - Loss 0.4968 Time (s) 0.02\n", + "Epoch 10 - Loss 0.1697 Time (s) 0.15\n", + "Epoch 20 - Loss 0.0666 Time (s) 0.28\n", + "Epoch 30 - Loss 0.0046 Time (s) 0.41\n", + "Epoch 40 - Loss 0.0038 Time (s) 0.54\n", + "Epoch 50 - Loss 0.0019 Time (s) 0.64\n", + "Epoch 60 - Loss 0.0004 Time (s) 0.74\n", + "Epoch 70 - Loss 0.0002 Time (s) 0.84\n", + "Epoch 80 - Loss 0.0001 Time (s) 0.97\n", + "Epoch 90 - Loss 0.0001 Time (s) 1.12\n" + ] + } + ], + "source": [ + "mlp = MLP(context_length, prediction_length)\n", + "print(\"Number of parameters:\", sum(p.numel() for p in mlp.parameters()))\n", + "\n", + "optimizer = torch.optim.Adam(mlp.parameters(), lr=1e-3)\n", + "criterion = nn.MSELoss()\n", + "\n", + "# training loop\n", + "n_epochs = 100\n", + "start_time = time.time()\n", + "for epoch in range(n_epochs):\n", + " optimizer.zero_grad()\n", + " y_pred = mlp(Xs)\n", + " loss = criterion(y_pred, ys)\n", + " loss.backward()\n", + " optimizer.step()\n", + " if epoch % 10 == 0:\n", + " print(f'Epoch {epoch} - Loss {loss.item():.4f} Time (s) {time.time() - start_time: .2f}')" + ] + }, + { + "cell_type": "code", + "execution_count": 93, + "id": "50bce6d0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(torch.Size([2000]), torch.Size([2000]))" + ] + }, + "execution_count": 93, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_test.shape, y_test.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 94, + "id": "bc7c12af", + "metadata": {}, + "outputs": [], + "source": [ + "# Test data\n", + "Xs_test, ys_test = create_train_data(X_test, y_test, context_length, prediction_length)" + ] + }, + { + "cell_type": "code", + "execution_count": 95, + "id": "70511ce6", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(torch.Size([1890, 100]), torch.Size([1890, 10]))" + ] + }, + "execution_count": 95, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Xs_test.shape, ys_test.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 96, + "id": "dafa69f3", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Test Loss: 5.9333124227123335e-05\n" + ] + } + ], + "source": [ + "y_hat = mlp(Xs_test)\n", + "\n", + "# compute the loss\n", + "with torch.no_grad():\n", + " loss = criterion(y_hat, ys_test)\n", + "print(f'Test Loss: {loss.item():0.4f}')" + ] + }, + { + "cell_type": "code", + "execution_count": 97, + "id": "09d227a8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(torch.Size([1890, 100]), torch.Size([1890, 10]))" + ] + }, + "execution_count": 97, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Xs_test.shape, y_hat.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 98, + "id": "058f5211", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 351, + "width": 528 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the first test data example\n", + "def plot_prediction(i):\n", + " plt.figure(figsize=(6, 4))\n", + " plt.plot(Xs_test[i], label='context (history)')\n", + " plt.plot(range(context_length, context_length+prediction_length), ys_test[i], label='ground truth (future)')\n", + " plt.plot(range(context_length, context_length+prediction_length), y_hat[i].detach().numpy(), label='prediction (future)')\n", + " plt.legend()\n", + "\n", + "plot_prediction(0)" + ] + }, + { + "cell_type": "code", + "execution_count": 108, + "id": "a576600e", + "metadata": {}, + "outputs": [], + "source": [ + "# Simple Transformer\n", + "\n", + "class Transformer(nn.Module):\n", + " def __init__(self, input_dim, prediction_length, num_heads=8, num_layers=3):\n", + " super(Transformer, self).__init__()\n", + " self.prediction_length = prediction_length\n", + " self.num_heads = num_heads\n", + " self.num_layers = num_layers\n", + " self.emb = nn.Linear(input_dim, 32)\n", + " encoder_layer = nn.TransformerEncoderLayer(d_model=32, nhead=num_heads)\n", + " self.transformer_encoder = nn.TransformerEncoder(encoder_layer, num_layers=num_layers)\n", + " self.fc = nn.Linear(32, prediction_length)\n", + " \n", + " def forward(self, x):\n", + " x = self.emb(x)\n", + " x = self.transformer_encoder(x)\n", + " x = self.fc(x)\n", + " return x" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "id": "ff443732", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Number of parameters: 416074\n", + "Epoch 0 - Loss 1.0997 Time 22.90\n", + "Epoch 10 - Loss 0.0648 Time 181.78\n", + "Epoch 20 - Loss 0.0348 Time 292.99\n", + "Epoch 30 - Loss 0.0191 Time 410.26\n" + ] + }, + { + "ename": "KeyboardInterrupt", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[110], line 14\u001b[0m\n\u001b[1;32m 12\u001b[0m y_pred \u001b[38;5;241m=\u001b[39m transormer(Xs)\n\u001b[1;32m 13\u001b[0m loss \u001b[38;5;241m=\u001b[39m criterion(y_pred, ys)\n\u001b[0;32m---> 14\u001b[0m \u001b[43mloss\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mbackward\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 15\u001b[0m optimizer\u001b[38;5;241m.\u001b[39mstep()\n\u001b[1;32m 16\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m epoch \u001b[38;5;241m%\u001b[39m \u001b[38;5;241m10\u001b[39m \u001b[38;5;241m==\u001b[39m \u001b[38;5;241m0\u001b[39m:\n", + "File \u001b[0;32m~/miniconda3/lib/python3.9/site-packages/torch/_tensor.py:487\u001b[0m, in \u001b[0;36mTensor.backward\u001b[0;34m(self, gradient, retain_graph, create_graph, inputs)\u001b[0m\n\u001b[1;32m 477\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m has_torch_function_unary(\u001b[38;5;28mself\u001b[39m):\n\u001b[1;32m 478\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m handle_torch_function(\n\u001b[1;32m 479\u001b[0m Tensor\u001b[38;5;241m.\u001b[39mbackward,\n\u001b[1;32m 480\u001b[0m (\u001b[38;5;28mself\u001b[39m,),\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 485\u001b[0m inputs\u001b[38;5;241m=\u001b[39minputs,\n\u001b[1;32m 486\u001b[0m )\n\u001b[0;32m--> 487\u001b[0m \u001b[43mtorch\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mautograd\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mbackward\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 488\u001b[0m \u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mgradient\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mretain_graph\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcreate_graph\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43minputs\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43minputs\u001b[49m\n\u001b[1;32m 489\u001b[0m \u001b[43m\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[0;32m~/miniconda3/lib/python3.9/site-packages/torch/autograd/__init__.py:200\u001b[0m, in \u001b[0;36mbackward\u001b[0;34m(tensors, grad_tensors, retain_graph, create_graph, grad_variables, inputs)\u001b[0m\n\u001b[1;32m 195\u001b[0m retain_graph \u001b[38;5;241m=\u001b[39m create_graph\n\u001b[1;32m 197\u001b[0m \u001b[38;5;66;03m# The reason we repeat same the comment below is that\u001b[39;00m\n\u001b[1;32m 198\u001b[0m \u001b[38;5;66;03m# some Python versions print out the first line of a multi-line function\u001b[39;00m\n\u001b[1;32m 199\u001b[0m \u001b[38;5;66;03m# calls in the traceback and some print out the last line\u001b[39;00m\n\u001b[0;32m--> 200\u001b[0m \u001b[43mVariable\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_execution_engine\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mrun_backward\u001b[49m\u001b[43m(\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;66;43;03m# Calls into the C++ engine to run the backward pass\u001b[39;49;00m\n\u001b[1;32m 201\u001b[0m \u001b[43m \u001b[49m\u001b[43mtensors\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mgrad_tensors_\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mretain_graph\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mcreate_graph\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43minputs\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 202\u001b[0m \u001b[43m \u001b[49m\u001b[43mallow_unreachable\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43;01mTrue\u001b[39;49;00m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43maccumulate_grad\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43;01mTrue\u001b[39;49;00m\u001b[43m)\u001b[49m\n", + "\u001b[0;31mKeyboardInterrupt\u001b[0m: " + ] + } + ], + "source": [ + "transormer = Transformer(context_length, prediction_length, num_heads=4, num_layers=3)\n", + "print(\"Number of parameters:\", sum(p.numel() for p in transormer.parameters()))\n", + "optimizer = torch.optim.Adam(transormer.parameters(), lr=1e-3)\n", + "criterion = nn.MSELoss()\n", + "\n", + "# training loop\n", + "n_epochs = 100\n", + "\n", + "start_time = time.time()\n", + "for epoch in range(n_epochs):\n", + " optimizer.zero_grad()\n", + " y_pred = transormer(Xs)\n", + " loss = criterion(y_pred, ys)\n", + " loss.backward()\n", + " optimizer.step()\n", + " if epoch % 10 == 0:\n", + " print(f'Epoch {epoch} - Loss {loss.item():.4f} Time {time.time() - start_time: .2f}')\n", + " \n" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "id": "0fdc92aa", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Test Loss: 0.017046289518475533\n" + ] + } + ], + "source": [ + "# Prediction \n", + "\n", + "with torch.no_grad():\n", + " y_hat = transormer(Xs_test)\n", + " loss = criterion(y_hat, ys_test)\n", + " print(f'Test Loss: {loss.item()}') " + ] + }, + { + "cell_type": "code", + "execution_count": 112, + "id": "1e301ad7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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s2TJUqFABJpMJGzZsAAC0bdsW77//fqHnWFB551aQIIS73u+YmBgAwKFDh1C9enW8+eab2LJli1WwpKjMv0dqtRqNGjVyuK/59+/SpUvQ6XQ293E2s8Yc8Pjzzz8tHU7Mtm3bhpSUFADAK6+8ku+5zJ9VVhbbcxEREZVUh2/ZrgcBMBPClzAIQeQi9+/ftzy2t0TCnrw3vvktAahQoYLN48QcLV2Qyx//0TcabUeTnXH37t1CHWfvG/3IyEhL8UIgd2nKDz/8AIVCUajrFIZGo7E8fvTokdPHuev9nj59Ol555RXIZDLcvXsXixYtQt++fVGuXDnUq1cPM2bMsLQsLSzz71FERASUSser9My/f4Ig4OHDhzb3cTZ4ExMTA5VKBUEQLG1hzVasWAEAqFy5Mrp06ZLvucyflUqlcuraRERE5HuO3DpidyxLzy8ifAVrQhDCA9SIm9bJ09MoVuEB0noL3iJvlwNvZ76hbtiwoaWDhTPE9TDMDAYDvvnmG8tzvV6PvXv3YsSIEUWaZ0FERkZaHjsK8hQXlUqF5cuXY+LEiVi/fj3+/PNPHD9+HDqdDn///Tf+/vtvfPHFF1izZo2lq0lhuep3z9mgUfny5dGjRw9s2bIFq1atwvTp0y0dYH7//XcAwPDhw506n/mzclSHgoiIiHzX7azbSEqzv6yVmRC+g0EIglwuc3mRxtIo75r1W7duOUzPF8ubrp/ft9p517wXpRihK5QpUwYAkJmZiXr16hX5fP/3f/+HY8eOAQBCQkKQnp6O8ePHo3379pYWke6WNwhh75t+T3jqqacwa9YszJo1C1qtFgcOHMC6devw/fffIzMzEy+//DIuX75c4Cwc4PHvUUpKCgwGg8NsCPPvn0wmK9ByFXteffVVbNmyBUlJSdi3bx86dOiA77//3hLgGjlypFPnMX9WVapUKfKciIiIyPvYa81pxkwI3+HzyzGys7Mxd+5cNG/eHBEREQgMDESdOnUwceJEyRpjVxs4cKDVmvcrV6649Xrk3Zo0aWJ5/NdffxXo2Bo1aljS+Y8ePepwX/NNOgCX3Pjb4uw34o0bNwaQW9OiqAUBDx8+jNmzZwPILc75559/QqVSISMjA8OGDXO4jMGV2SN5P4uLFy+67LyupNFo0KlTJ6xYscLSkeXRo0fYsWOH1X7Ovi/m3yOdTodTp0453Nf8+1erVi2bHVwKqmvXroiKigLwuECl+b/t2rVDrVq18j3HnTt3kJ6eDgB4+umnizwnIiIi8j7iehC1wq3/H8FgMkBv1BfnlKiQfDoIkZiYiEaNGuG9997D8ePH8fDhQ2RnZ+PChQv44osv0KBBA8n/lLvKjh07sHHjRrecm3xTw4YNLV0tli1bhszMTKePVSqVaN++PQDgf//7n1WbSLFly5ZZjrHVEtIVzHURcnJyHO5n7mYhCAIWLlxY6OtlZmZi6NChMBqNKFOmDFauXImmTZti1qxZAICDBw/i008/LfJ8naFSqdCyZUsAsLSt9GYdO3a0PM5blwSwrm/h6L3p1OnxcixzLQZbDh8+jISEBMkxRSGXyy3ZDj/99BN+++03S/DHmYKUgPXnlF9hVyIiIvI9JsGEo7esv6jrWKWjZD9mQ/gGnw1CZGRkoHv37rh06RKA3LaFu3fvxqFDh/DJJ58gKCgI6enpGDhwYL7f7BVUZmYmxo0bByD/IoJUesjlckyePBkAcP36dQwfPtxu9wCTyYSbN29abTP/Tul0OowaNQp6vTSSu2LFCsta+b59+xYq9d4Z5vPevXvXYTeHzp07o0WLFgCAefPm5RuYi4+Px/bt2yXbx48fb2kVumTJElSqVAkAMHnyZEtw5qOPPkJcXJzD+V6+fNnh9Z1l7m5y5swZlwQ2CuvBgwfYvn07BEGwu4/59wGAZMlK3t8PR+9NixYtLC1Qly5dit27d0v2SUtLw2uvvQYg93d97Nixzr0IJ5gLb2ZnZ1sCEsHBwRgwYIBTx5uzMzQajaUVLBEREZUclx5ewgOtda2uTlWkX4iwLoRv8NkgxLx58yzfls2dOxdLlizB888/j1atWmHq1KnYtWsXlEolsrOzMWHCBJdee9q0abh27Ro6duyIf/3rXy49N/m2cePG4YUXXgAAbNmyBfXr18fChQtx8OBBnDx5Er/++itmzJiBOnXqYMmSJVbHdu/e3XLT9fvvv6Nly5ZYu3Yt4uLi8Mcff+DVV1/Fq6++CiB3Df8XX3zhttfRunVrALnBktdffx1HjhxBYmKi5SevdevWISIiAkajEQMHDkSvXr2wdu1aHDt2DHFxcfj1118xe/ZstGrVCg0aNMC+ffusjt+yZYsl/X7kyJHo27evZUwul+P7779HaGgo9Ho9hgwZYrNjhXm+sbGx+PTTT3H69GnLXG/cuFHg128u8KjT6bB///4CH+8q6enp6NWrF2rUqIGJEydi48aNOHr0KOLi4rBjxw689tpreO+99wDkFvvs0aOH1fHm9wUA3nnnHfz111+4dOmS5b0xGAyW8aVLl0KtVsNgMKBbt26YNGkS9u3bh+PHj2Pp0qVo0qQJ4uPjAQCTJk1y6VKgatWqWTIrzMt6XnrpJQQGBjp1vDlo0qVLF/j7+7tsXkREROQdxPUgooKiUDOspmQ/ZkL4CMEH6XQ6ITQ0VAAg1K1bVzAajTb3e+211wQAAgDh2LFjLrl2bGysIJfLBT8/P+HChQtCTEyM5RpJSUkuuYZYcnKy5RrJyckFOvbixYtCQkKCcPHiRbfMjaSysrKE/v37Wz4zez8zZsyQHPvo0SOhT58+Do+rVKmScPLkSZvXXrlypVO/j0lJSZb9Vq5cKRk3Go1Cy5Yt7c5B7MKFC0K9evXyfc0AhI8++shy3M2bN4UyZcoIAIQaNWoIGRkZNue7Zs0ay/Fjx46VjF+/fl2IiIiweb327dvbfR8cadq0qQBAGDlypN19ZsyYYfc9yWvPnj2W/fbs2SMZb9++vc255v2cHP1UrFhROH78uM1rv/TSS3aPE/+O7Nq1SwgJCXF4rXHjxtn9O7dq1aoCACEmJsbh+2HLhg0brK5z8OBBp45LSkoSZDKZAEDYtGlTga9bGvHfBSIi8jVjfh8j1FtVz/Iz89BMQRAEofma5lbbT9095eGZlixFuQ91xCczIfbs2YO0tDQAuX3m5XLbLyNvW78tW7YU+boGgwGjR4+GyWTC+++/j9q1axf5nFTyBAQEYNOmTfjzzz8xbNgwVK9eHf7+/lCr1YiOjkbPnj3x3XffYeLEiZJjNRoNfv75Z2zbtg19+/ZFpUqVoFarER4ejmeeeQZz5szBhQsX0KhRI7e+Brlcjt9//x3Tpk1Dw4YNERQU5LDIYe3atXHq1CmsW7cO/fr1Q5UqVSyvuWLFiujQoQOmTZuGuLg4fPjhhwBy60iMHDkSKSkpUCgUWLNmDYKCgmyef8iQIXj55ZcBAN988w3++9//Wo1XrlwZx44dw6hRo1CzZk2rWgiFNWbMGADAzz//7LElGVWrVsWxY8cwc+ZMdO7cGU8++STCwsKgVCpRtmxZPPvss5g3bx7Onz+Ppk2b2jzHmjVrMHfuXLRo0QKhoaF2/74EcpfXJCYmYurUqWjUqBFCQkLg5+eHKlWqYMiQIdi/fz++/vprh+corBdffNHy+depU8cqi8OR9evXQxAEVKpUqcgtSomIiMj75BhzcOLOCattrSq2AgAEKAOstjMTwjfIBMHBYmMv9eGHH1oK1h0+fNhSRE7MYDAgNDQU2dnZePbZZyVp4AU1d+5cvPfee6hVqxbi4+Ph5+eHESNGYPXq1QCApKQkVKtWrUjXsOX69euWgofJycmWSvLOuHTpkqXlnjNV5okoV2ZmJmrUqIF79+5hzZo1GDJkiKenVKJdunTJEtj97LPPMGXKlHyPMZlMqFu3Li5evIg5c+bg/fffd/c0SwT+u0BERL7k6K2jePX3Vy3PZZBh/6D9CPULRbefuyE5I9kytqDDAnSsKi1YSYVTlPtQR3wyE8JcnR3I/cbMHqVSiZo1c9cKnTt3rkjXTEpKwkcffQQAWLx4Mfz8/Ip0vryuX7/u8OfWrVsuuxYROScoKAjTp08HAMyePRsmk8nDMyrZzF05lEolhg8f7tQxGzZswMWLF1G2bFm8+eab7pweEREReYi4HsRTZZ5CqF8oACBQZV0/KsvATAhfoPT0BArD3L4wMDAQYWFhDveNjo7GmTNncO/ePeTk5BQ6ePD6668jOzsbL7/8ssta0+WdIxF5n9dffx0LFixAQkICfvrpJ7z00kuenlKJlJqaainU+uKLL6JChQr5HiMIAj755BMAuZ1T7C3lISIiIt925NYRq+etKrWyPBYvx8jWszuGL/DJIIS5ZaAz/9OZt7p6ZmZmoYIQa9aswe+//47Q0FDMnz+/wMcTkW9SqVRYtWoVdu/ebdVJgoru7t27SE9Px82bNzFz5kw8ePAAMpkMH3zwgVPH37p1C/3798fgwYMtrUOJiIioZEnVpiIhJcFqm7keBAAEqERBCLbo9Ak+GYTQarUAALVane++eYMOtlr75SclJQXvvvsugNyU7PLlyxf4HPlJTk52OH7r1i20aNHC5dclovy1a9cO7dq18/Q0SpwpU6ZY6umYvfHGG2jSpIlTx1eqVAkzZ850w8yIiIjIWxy9fRQCHpcw1Cg0aFSukeU5C1P6JrcGIRxV03fWypUrrbpcALBUvtfpdPken7eqfWH6x0+cOBH37t1DixYt8Prrrxf4eGe4qsAHEZGvUavVeOKJJzB69Gi89dZbnp4OEREReRFxPYim5ZtCrXj8RbS4JgSXY/gGn8yECA4OBpC7vCI/WVmPo2EFXTP8559/YvXq1VAoFPj222/d0paOiKg0WrVqFVatWuXpaRAREZEXc1QPAuByDF/l1iBEUTtSAEDFihUl26KionD06FFkZWUhNTXVYXFK81KHyMjIAteD+OyzzwAAzZo1w4ULF3DhwgXJPklJSZbH27dvR2RkJABg0KBBBboWERERERER5UpOT8aNzBtW21pWbGn1nIUpfZNbgxCO2mcWxVNPPYXNmzcDAM6fP4+WLVva3M9gMODy5csAgLp16xb4OualHEePHsXLL7+c7/7jx4+3PGYQgoiIiIiIqHAO37JeihGhiUCt8FpW28SZEKwJ4Rt8cn1B27ZtLY/37dtnd7/jx49blmO0adPG7fMiIiIiIiKiojv/4LzV82cqPgO5zPr2VVITgssxfIJPBiE6dOiA0NBQAMDq1ashCILN/fKuN+7Tp0+Br7N3714IguDwJyYmxrJ/UlKSZTsREREREREVzgPtA6vnVUOqSvbhcgzf5JNBCLVabVn6cO7cOXz++eeSfQ4fPozly5cDANq3b4/mzZvbPJdMJoNMJkO1atXcNl8iIiIiIiJy3kPtQ6vnYX5hkn2YCeGbfLI7BgBMnjwZGzZswMWLFzFlyhQkJiZi0KBB8Pf3x549ezB79mwYDAb4+/tjwYIFnp4uEREREREROelhjnUQIkITIdlHnAnBmhC+wWeDEMHBwdi5cye6deuGS5cuYcmSJViyZInVPiEhIVi7di0aNWrkmUkSERERERFRgYkzIcI14ZJ9JC06uRzDJ/jkcgyzmjVr4uTJk/jss8/QrFkzhIWFISAgAE8++STeeecdnDlzBj169PD0NImIiIiIiMhJRpMRaTlpVtvC/ZwIQhiyYRJMbp0bFZ3PZkKYBQYGYsqUKZgyZUqhji9qEclVq1ZZFcAkIiIiIiKiwkvNSYUA6/s0W8sxxDUhAEBr0EqCE+RdfDoTgoiIiIiIiEoW8VIMAAjThEm2iWtCAKwL4QsYhCAiIiIiIiKvIS5KGawOhkqukuxnKxOCHTK8H4MQRERERERE5DUeaB9YPbe1FAMAVHIVlDLrCgPMhPB+DEIQERERERGR15B0xrBRlBIAZDIZO2T4IAYhiMgndejQATKZDB06dPD0VDxu5syZkMlkkMlkxXrdFStWQCaToX79+naL/D569AgfffQRGjZsiMDAQMs8J0yYUKxz9XXjxo2DTCZDTEyMp6dCRETkds605zSz1SGDvBuDEEREVGCZmZmYOnUqAODDDz+0GQDR6/Xo1KkTZs6ciTNnziA7m/9TUFjvvfce1Go1fvjhB8TFxXl6OkRERG7l7HIMAAhUWteFYCaE92MQgohKpb1791q+ld+7d6+npyPh7fP78ssvcefOHTz11FPo37+/zX02bdqEQ4cOAQBGjBiBPXv2ID4+HvHx8Xj//fddOp+SnhlTpUoVxMTEQBAETJ8+3dPTISIicitxYcowvzC7+4ozIVgTwvsp89+FiIjosUePHuGLL74AALzzzjt2l4H88ccfAIAKFSpg2bJlUCgUxTbHkmjixIlYunQpfv31V8TFxaFp06aenhIREZFbpGpTrZ5zOUbJwkwIIiIqkDVr1iAlJQV+fn52syAA4MaNGwCAGjVqMADhAk8++SSaNGkCAPjqq688PBsiIiL3eZDj/HKMACUzIXwNgxBERFQgy5cvBwB0794dYWFhdvfLyckBAKhU0r7eVDhDhgwBkLvUJSMjw8OzISIico+CFKYMVIlqQjATwusxCEHkBikpKZgyZQqefPJJ+Pv7o3z58njhhRewZcsWAMCqVass6/2vXLkiOb5atWqQyWQYMWIEACAuLg4jRoxA9erV4efnZzP9PT4+HmPGjEGtWrUQEBCA4OBgPP3003jnnXdsXsOsILUHzPvNnDlTMibu0KDVajFv3jw0adIEwcHBCA4ORosWLfD111/DYDA4vA4AHDlyBAMGDECFChWg0WhQvXp1jBkzBhcuXMj3WEeuXLkCmUyG5557zrLtueees8zd/LNq1Sq7ry0tLQ2zZs1C48aNERYWZrW/+fzic9gi/pwLOz+xor73jly9ehVHjx4FAPTr108ynvf179u3DwCwb98+q7lXq1bNsv+IESMk22yx92fGfLy9a4nPXdTPx958cnJysGDBArRs2RJly5a1++dkz549iImJQY0aNRAQEICQkBDUr18fkydPxs2bNx3OB3j8nmdnZ2Pr1q357k9ERORrBEEo2HIMJVt0+hrWhCBysfj4eLzwwgu4c+eOZZtWq8Uff/yBP/74A2PGjEGrVq2cPt+3336Lt956y+HN45w5czBt2jSYTCar7QkJCUhISMA333yDJUuWYPjw4QV/QYVw584ddO3aFadOnbLaHhsbi9jYWPz+++/45ZdfIJfbjoPOnz8fkyZNsno9V65cwdKlS7Fu3Tps3LjRndN36NKlS+jcubPDwI4nFfW9z0/eQFXLli2LMNOS4/79++jTp4/kPc9Lq9Vi5MiR+PHHHyVjZ8+exdmzZ/HNN99g/fr16Nmzp93zVK1aFRUqVMDt27fx66+/YujQoa54CURERF4jXZcOg2D9/70Rfg6WY4hrQjAI4fUYhCByodTUVHTt2tUSgBg2bBgGDx6MyMhIJCYmYuHChViyZAlOnz7t1PliY2OxZs0aREdHY9KkSWjWrBkMBgP2799v2Wfx4sWWVomRkZF477330KZNGxiNRvzxxx+YN28esrKyMGLECJQtWxbdunVz/QsX6du3LxISEjB+/Hj07NkTERERuHDhAmbNmoVz585h+/btWLp0KV577TXJsVu2bMG7774LAAgNDcV7771n6Xjw559/Yu7cuRgyZAgiIyMLNbfKlSsjPj4esbGxeOWVVwAAK1asQPPmza32i4qKsnl8//79cePGDbz11lvo1asXwsPDcenSJVStWrVQ83H1/Iry3jvD/LtXpkwZ1KhRw+78AWDkyJE4fvw4mjVrhpUrV1r2UavVhbq2LZ988gkmTZpk91quvp4to0aNQnx8PIYPH46BAweiQoUKuHbtGvz8/ADkfqPTv39/7Ny5EwDQs2dPvPTSS6hRowbkcjmOHTuG//znP7h27Rr69++PgwcPolmzZnav16JFC2zbts2S/UFERFSSiJdiAAUrTMmaEN6PQQgCTCbg0YP89ytJ/COAQn4T7MhHH31kSalesGAB3n77bctY06ZN0b9/f/Tr18/pNOqEhATUr18ff/31l9Xa+zZt2gAA7t27h8mTJwMAKlWqhCNHjiA6Otpqv169eqFdu3bIysrCmDFjkJSU5PY1+uZv3PO2S2zSpAm6dOmCp556Cnfu3MHixYslN8I6nQ5vvvkmgNwAxOHDh1G3bl3LeKtWrdC7d2+0adMGly5dKtTcVCoV6tWrh/v371u2Va9eHfXq1XPq+LNnz+LXX39F586dLdtc2aWgqPMr7HvvLHPLzUaNGjmcPwAEBgZa/uvs/AuqcuXKqFy5crFcy54zZ85g2bJlGDVqlGWbuYAkACxbtgw7d+6ESqXCtm3b0LVrV6vjW7ZsiWHDhqFdu3b4+++/MWHCBBw4cMDu9Zo2bYpt27bhxo0buHPnDsqXL+/6F0VEROQh4vac/kp/aJQau/tLlmOwJoTXYxCCcgMQ857w9CyK1+TLQGBZl54yJyfHssa8efPmVgEIM4VCge+++w67du2CVqt16ryLFi2yW/xv5cqVyM7O/Yv2iy++sApAmDVu3BgffPABpk2bhhs3buCXX37BgAEDnHtRhfTWW29Z3QSbRUREYOTIkfj0008RHx+PtLQ0hIaGWsa3bt1qCeJMnz7dKgBhVq9ePfz73//Ge++957b5OzJixAirAIS3Kex776zr168DAMqVK1fUqZYYzz//vFUAIi9BEPDZZ58BAMaPHy8JQJiFh4dj3rx56NatGw4ePIhLly6hVq1aNvfN+97/888/DEIQEVGJ8kDrfGcMwEZhSi7H8HosTEnkIsePH0dqaioAOFynXb58eXTp0sWpc0ZHR6Ndu3Z2x//44w8AQFhYGPr27Wt3v1dffVVyjDuZK/jbYs4aEAQBSUlJVmPmuclkMsTExNg9x8iRI20W5ywOjl6bNyjse++MnJwcS0eG8HD7aZGljaP3PCEhAZcvXwYAh+1MAeDZZ5+1PD58+LDd/SIiHv/P2O3bt52dJhERkU+QdMbwc/z/HMyE8D0MQhC5yNmzZy2P80vPd7TeO68GDRo4dc0mTZo4XGJRvnx5S4eAvPN0lzp16tgdy3sDJW4xaK4lUL16dZQtaz9TJTIyMt9uCu6S32fiaYV9753x4MHjbyYYhHjM0e/E8ePHLY9btWol6dyR9ycoKMiyr6PgQt73PiuL616JiKhkKUh7TkCaCcGaEN6PQQgiF3n48PFfmPkVTXS2qGJ+N3rmm0JnUuMrVKhgdYw7BQQE2B3L25XBaDRajRXk9XgqBd3bb74L+947Q6N5vB7z0aNHBT6+pHL0O3H37t1CndO8zMqWvO+9u+u7EBERFTfxcoz8ghCS7hjMhPB6rAlBuUUaJ1/29CyKl7/jtWXeQqFQOLWfp5YmuIs3vx5nP5OSKCwsDEqlEgaDoViCWb7C0e9E3mDP9u3bnc7gcRSIy/ve26sXQ0RE5KtSc1Ktnue7HIPdMXwOgxCU2yXCxUUaS6O834beu3cPtWvXtrvvvXv3XHLNiIgI3Lp1y9IS1BFzenfelHzA+ttxk8lk9/jiSPs2v4fOvB5n9vEEZ99PwPdS6WUyGcqWLYvbt29bZf4Uhfn9Kq73qrg/nzJlylgeh4WFuaRzR973vkqVKkU+HxERkTcp6HIMcU0Ig8kAvVEPlYLZgt6KyzGIXOTpp5+2PI6Li3O4b9514kVhvqE5ceIEDAaD3f3u3r2Lq1evWh1jFhwcbHns6Mby4sWLRZmqU+rXrw8ASEpKQkpKit397t27hytXrhTpWu7KtnD2/Xzw4IHD1+it2SDmz8hVvw/m98tc1NWe/K7n7Pvlqs/HWY0bN7Y8PnjwYJHPBzx+L/z8/FCzZk2XnJOIiMhbFLU7BsAlGd6OQQgiF2nWrJml5eGaNWvs7nfnzh3s2rXLJdfs1KkTgNwbuJ9//tnufsuXL4cgCFbHmOVND3cUHFm/fn0RZuoc89wEQcD3339vd79Vq1ZZXk9h5a1vkJOTU6Rz5RUeHm5JkXf0fv74448OX4O75ldU5m4tFy5cKFRxS7Hq1asDyC2UeeHCBZv76HQ6bN682eF5zO9Xfu+Vqz4fZzVp0gRRUVEAgCVLljjdmteR2NhYALkBDtaEICKikuZhTtEyIQAuyfB2DEIQuYhGo8Hw4cMB5N4kLFy4ULKPyWTCa6+95pIbESC3VaW5EOHEiRNx48YNyT6nT5/G7NmzAQCVK1fGiy++aDUeHh5uqe6/cuVKm2v9Dxw4YPP1uNqLL76IihUrAgBmzZpl86Y0ISEBn3zySZGvZb4OAEsLRVcxt1rcunWrzXNfuHAB06dP99j8isIchDCZTC7J6Gnfvr3l8X/+8x+b+7z77rs2f7fzMr9f//zzT77BA1d8Ps6Sy+WYOnWqZW7Dhw93GChJT0/H119/bXc8JycHZ86cAQB07tzZJXMkIiLyFoIgFHg5hr/SX7ItW89MCG/GIASRC82cOdPShWLChAkYPnw4du3ahRMnTmDjxo1o164dtm7dihYtWliOKUrafWRkJObNmwcAuH79Opo2bYoFCxbg2LFjOHToEP7v//4Pbdu2RWZmJmQyGZYsWWLzm9Nx48YByM3SaNeuHX788UecPHkSu3fvxrvvvotOnTo53Va0KNRqNb766isAuanyLVu2xKeffoojR47g8OHDmDNnDlq3bg0ARU5Dr1KliuUb6s8//xzbtm3DhQsXkJiYiMTExCJ9y//GG28AyO1i0KFDByxfvhwnTpzAX3/9hRkzZuCZZ55BRESEwy4p7pxfUbRu3doy7927dxf5fI0bN0arVq0AAEuXLsWIESOwZ88enDhxAhs2bEDHjh2xaNEiy+fuaF5A7tKjd999F3FxcZb3yrwUycwVn09BvP766+jTpw8AYNOmTXj66acxb9487Nu3D6dOncJff/2FJUuWYPDgwahUqRJmzpxp91x//fUX9Ho9AFjOSUREVFI8MjxCjtE6WB/h53g5hkKukAQisgzMhPBqAnm95ORkAYAAQEhOTi7QsRcvXhQSEhKEixcvuml2JHbq1CkhMjLS8pmJf0aMGCEsX77c8vz27duSc1StWlUAIMTExDh1zU8++USQy+V2r+nn5yesXr3a7vFGo1F48cUX7R5fv3594datW5bnM2bMkJxjxowZlnFH9uzZY9lvz549NveZN2+eIJPJbM4lICBA2LFjh9C+fXsBgNC+fXun3iNbFi9ebPc1r1y5ssCvLa/x48fbPXeVKlWEhISEfD9nV8/PmffeGRMnThQACDVq1HC4n7Of0blz54Ry5crZfa2TJk0SVq5caXmelJQkOUdGRoZQo0YNm8dXrVpVsn9RP5/85iOm0+mEsWPH2v29zvtTvXp1u+cZMWKEAEB4+umn872mPfx3gYiIvFVyerJQb1U9q5+MnIx8j2v/Y3urYw7dOFQMsy35inIf6ggzIYhcrGHDhkhISMDEiRNRq1Yt+Pn5oWzZsnjuueewbt06rFy5Eunp6Zb9zXUkimLq1Kk4efIkRo8ejSeeeAL+/v4IDAxE3bp18fbbb+P8+fOWpSK2yOVy/PTTT1i0aBGaN2+OwMBABAYGokGDBvjkk09w9OhRS4ZHcZg0aRIOHDiAvn37oly5cvDz80PVqlXxyiuv4Pjx4+jevbtLrjN27Fhs3rwZnTt3Rrly5aBUuq5h0MKFC7Fu3To8++yzCAkJgb+/P5588km8//77OHHiBOrWrevR+RXF6NGjAeQuLzhy5EiRz1enTh2cOHECY8eORdWqVaFWqxEZGYmuXbti586dlmwfR4KCgnDo0CG8/fbbqFu3rmWZkj2u+HwKQqVSYfHixTh9+jTeeust1K9fH6GhoVAoFAgNDUWjRo0watQo/PTTTzh37pzNc2i1WkvtF3M2BxERUUkiXoqhkqtsFp4UE7fp5HIM7yYTBBdU3iK3un79OqKjowEAycnJlhRtZ1y6dAkGgwFKpRK1atVy1xSpgF599VUsX74cUVFRSE5O9vR0iAqsW7du+PXXX/Hqq69i6dKlnp5OqbBmzRoMGzYMZcqUwZUrVxAUFFSo8/DfBSIi8lZ/Xf8L43aPszwvF1AOuwfkv/xzwPYBOP/gvOX57Laz0fOJnm6ZY2lSlPtQR5gJQVTMHj16hK1btwIAWrZs6eHZEBXOnDlzIJfL8f333zOQVgxMJpOlwOzkyZMLHYAgIiLyZgVtz2km7pDB7hjejUEIIhe7fPmy3er8RqMRY8eOxf379wEAMTExxTk1Ipdp2LAhBg8eDJ1Ohzlz5nh6OiXepk2bcO7cOVSpUgXjx4/39HSIiIjcQtIZw89xZwwzyXIMA5djeDPvWGBMVILMmjULx44dw6BBg/DMM8+gXLlyePToEc6cOYOlS5fixIkTAIBOnTq5rLYBkSfMnj0bTzzxBDQaDQRBKFKnF3LMaDRixowZeP755+HvL21FRkREVBKIgxBhmjCnjmMmhG9hEILIDc6dO4cZM2bYHW/Tpg1+/PFH3rSRT4uOjnbYTpJcZ/DgwZ6eAhERkds9zLEOQji7HENcvJKFKb0bgxBELvbBBx+gdu3a+OOPP3DlyhXcu3cPer0eZcqUQbNmzTBw4EAMGjQIcjlXQxERERERmXE5RunAIASRiz355JOYOnUqpk6d6umpEBERERH5DEkQQuNkEELJFp2+hF/FEhERERERkccVujuGijUhfAmDEERERERERORx4poQzmZCSGpCcDmGV2MQgoiIiIiIiDxKZ9RJMhi4HKNkYhCCiIiIiIiIPEq8FAMAIvwK2R2DmRBejUEIIiIiIiIi8ihxUUqFTIEQvxCnjhVnQrAmhHdjEIKIiIiIiIg8ShyECPULhVzm3O2qpEUnl2N4NQYhiIiIiIiIyKMe5BSuMwZgIwhhyIZJMLlkXuR6DEIQERERERGRR4kzIcL8wpw+VlwTAgC0Bm1Rp0RuwiAEEREREREReZQ4COFsZwxAWhMCYF0Ib8YgBBEREREREXnUwxzrIERBlmPYyoRghwzvxSAEEREREREReVRRMiFUchWUMqXVNmZCeC8GIYiIiIiIiMijJEEIP+eDEDKZjB0yfAiDEERERERERORRD7SF744B2O6QQd6JQQgiclq1atUgk8kwYsQIydjevXshk8kgk8mwd+/eYp+b2apVqyzzuHLlisfm4Q7t27eHTCbD559/bnefs2fPYujQoYiOjoZarba8F6dOnSq+ifq47OxslCtXzuO/y0RERKWJuCZEQZZjAECg0rouBDMhvBeDEEREPmDTpk3466+/EBkZibFjx9rcJy4uDi1atMDatWtx/fp16PX6Yp5lyRAQEIB3330XADBhwgQIguDhGREREZVsBpMBaTlpVtsKGoQQZ0KwJoT3YhCCiLyet2RZeIrJZMKHH34IAJg4cSICA6UVoAHggw8+wKNHjxASEoLFixfj2LFjiI+PR3x8POrUqeOy+Vy5csXyeaxatcpl5/Um48aNQ0REBE6fPo1NmzZ5ejpEREQlWmpOqmQbl2OUXAxCEJFLdOjQAYIgQBAEdOjQwWPzGDFihGUe1apV89g8XOmnn37C+fPn4e/vjzfeeMPmPnq9Hvv27QMAjBkzBmPHjkXz5s1Rr1491KtXDxqNpjin7POCg4MxZswYAMDHH3/s4dkQERGVbOKilAAQ6hdaoHMEKJkJ4SsYhCAi8nILFy4EAPTq1QvBwcE297l//z50Oh0AoHbt2sU2t5Js8ODBAID4+PhSmYFDRERUXMRBiBB1CFRyVYHOEagS1YRgJoTXYhCCiMiLnT9/HocOHQIADBkyxO5+OTk5lscqVcH+0Sbb6tevj/r16wMAli9f7uHZEBERlVwPcqw7YxS0HgQgzYRgYUrvxSAEkQvNnDnTslYeAFJTUzFjxgw8/fTTCAoKQkREBJ577jmsX7/e4XnEXSji4uIwYsQIVK9eHX5+fpbz55WWloY5c+agTZs2iIyMhFqtRsWKFdGzZ0/89NNPThXX+/XXX9GtWzdERkYiICAAtWvXxrvvvosbN27ke2xB6jb897//xdChQ1GjRg0EBgZCo9GgevXq6NevH1atWoXs7Nx/NMy1B5577jnLsc8995zlOrbqEjjbHePevXuYNm0aGjdujLCwMGg0GlSrVg3Dhg3DgQMHHM5f/PlcuHABo0ePRrVq1eDn54fy5cujT58+OHLkiMPzOGPjxo0AgMDAQHTt2lUybv6dq169umXbyJEjrd6fmTNnWsZsbbOlQ4cOkMlkkqU1+V1LfG7xnwl78vv9Ec/n0qVLePPNN1GrVi0EBATY/Ly1Wi2+/vprdOzYERUqVIBarUa5cuXQqVMnLF++HAaDweGcAKBfv34AgF9++QVarTbf/YmIiKjgxJkQ4X6FCEKIa0IwCOG1lJ6eAFFJlZSUhBdeeAGXL1+2bMvKysLevXuxd+9e/PLLL1i7di2USsd/DL/99lu89dZbDm+Ydu/ejYEDByIlJcVq++3bt7Fjxw7s2LED3bp1w4YNGxAUFGTzHO+++y7mz59vte3SpUuYP38+1qxZg//+97/5veR8paSkYODAgdi9e7dk7MqVK7hy5Qp+/vlnALDZBtRVfv/9dwwYMADp6elW269evYqrV69izZo1GDduHL788kvI5Y5jtVu2bMHQoUMtgRMAuHv3Ln755Rds374da9euxcCBAws91z179gAAmjRpwgyH/2/r1q0YMmQIsrLsr/U8ffo0evfujatXr1ptv3fvHnbv3o3du3fju+++w/bt21G+fHm752nZsiUAIDMzE/v378cLL7zgmhdBREREFqnaVKvnhcqEYGFKn8EgBJGbDBw4EElJSXj99dfRv39/hIaG4syZM/jss89w8eJFbNy4EZUqVZLc+OcVGxuLNWvWIDo6GpMmTUKzZs1gMBiwf/9+yz4HDx7Ev/71L+j1epQvXx5vvfUWGjZsiEqVKuHmzZvYsGGDJYgQExODzZs3S66zYMECyzwqVaqEDz74AC1atIBWq8XOnTuxYMECDBgwwOpGu6Cys7Px3HPPIT4+HgDQtGlTjBkzBvXq1YOfnx+Sk5Px119/YcOGDZZjKleujPj4eMTGxuKVV14BAKxYsQLNmze3OndUVJTT8zh16hR69uwJnU4HlUqFN998E7169UJgYCBOnjyJTz/9FElJSVi0aBECAwPx2Wef2T1XfHw8NmzYgIoVK2LixIlo1qwZBEHArl278Omnn0Kr1WLMmDF4/vnnERkZWZC3C0BuscmjR48CgOQ1m73xxhvo378/bt68iS5dugDILaTYu3dvyz7lypUr8LXtiY+Pd3gtV19P7Nq1axg6dCgCAgIwffp0tGvXDgqFArGxsZYAW2JiItq3b4+0tDSEhIRg3LhxaNGiBaKjo5GSkoJt27bhu+++Q2xsLHr37o39+/fbDfC0aNHC8njfvn0MQhAREbnBA631coyCdsYAWJjSlzAIQTAJJpttcUqyML8wyGXuXY0UGxuLdevW4eWXX7Zsa9asGQYMGIB27drh9OnT+PLLLzFq1CjUq1fP5jkSEhJQv359/PXXXwgLC7Nsb9OmDYDcm9ShQ4dCr9eja9eu2Lx5MwICHv8F3KRJE/To0QPPPvssxowZg59//hn/+9//rG6k7t69i3//+98AgKpVq+LIkSOoUKGCZfzZZ59Fly5d0KVLF6fS1+2ZNm2aJQAxbtw4fPXVV1Yp+k2bNsWLL76ITz/9FA8f5qbkqVQq1KtXD/fv37fsV716dbvvlzPGjBkDnU4HhUKBHTt2oHPnzpax5s2bY8CAAWjbti0SEhLw+eefY/jw4Xj66adtnuvEiRNo2rQp/vzzT4SEhFi2t2zZEjVr1sTQoUORnp6ONWvW4J133inwXE+ePIlHjx4BABo3bmxzn3LlyqFcuXJWGS6VK1cu0nvkSL169YrtWrYkJSWhUqVKOHz4MKpUqWLZ/swzz1gex8TEIC0tDY0bN8bvv/+OsmXLWp2jc+fO6NGjB7p3746jR49i1apVGD16tM3rhYeHo3r16khKSkJcXJx7XhQREVEp9zBHtByjEJkQLEzpOxiEIKTmpKL9hvaenkax2jdwX6EirAXRo0cPqwCEWXBwMJYsWYJnnnkGJpMJ3377Lb7++mu751m0aJFVACKvH3/8EVeuXIFGo8H3339vFYDIa/To0Vi2bBmOHTuGVatWWQUhVq9ebclw+M9//mMVgDB7/vnnMXr0aHzzzTeOXrJdqamp+O677wDkBhsWLlxot0aAWq12mB5fFMeOHUNsbCyA3PckbwDCLDw8HEuWLEHbtm1hMpmwePFiLFq0yO45V6xYYRWAMBs8eDCmTJmCmzdvYv/+/YUKQly/ft3y2J3ZBb7m008/tQpA5LV//35LIc/Vq1dLAhBmXbt2Rf/+/bFx40aHQQgg971PSkrCP//8U/TJExERkYRLakKwMKXPYGFKIjcZOXKk3bEWLVpYvl3/448/7O4XHR2Ndu3a2R3ftm0bAKB9+/b5pvs/++yzAIDDhw9bbTdfPzw8XJJWn5d5OURh/Pnnn5ZAx/jx46FQKAp9rqLI+16PGjXK7n5t2rRB3bp1JceI1a9fHw0aNLA5JpPJLNkLhb15vXfvnuVxeHjB/zEuidRqNQYMGGB33Pxn4sknn7R0trDH/GciNjbWYZZPRERuwPL27dsFnS4RERE5QbwcwyWZEAxCeC1mQhC5ib01/GYtWrTA33//jYsXL0Kn00GtVkv2sXeDa3b8+HEAwK5du/LtPmAmvpEyL5Fo3LixwyKZjRo1glqthk6nc+o6eZ08edLy2FFQxd3Onj0LIPdGtlGjRg73feaZZ3Du3DlcunTJ7udTp04dh+cw37xmZGQUar4PHjz+B5lBiFy1atWCRqOxO27+M3HhwgWn/0zo9Xo8ePDAbraJ+b13VAiTiIiICk+cCVGomhCiwpRZBv677a2YCUHkJvmlz5uXHAiCYKmBIJbfjefdu3cLPC9zjQEz841ufvNVKpWWm+qCylvToWLFioU6hyuYX2tERES+XUnMy1IcfT72lr+YmTtrGI3Ggk4VAKxutsWfW2nljj8TABwWXTW/9+xOQkRE5Hq26tO5pDsGMyG8FjMhCGF+Ydg3cJ+np1GswvzC3H4NZ7+FdSS/ZQvmm9t//etfmDt3bpGu5Yr5+gpfea15l9jkzYoozZz9M9GwYUOsWbPG6fNWrlzZ7pj5vbdXm4WIiIgKL0OXAaNg/YWNK7pj6E166I16qBT8EsHbMAhBkMvkbi/SWBrduXMH0dHRDseB3BviwqbalylTBjdv3oROpyt0h4Lw8HDcvn3bMh97DAZDoW+E8xYHvHXrFqpXr16o8xSVOZMjJSUFBoPBYTaEedlKUT6fosobhLCXjVFQMpkMgiDAZDI53M9VSw/M2SAAYDKZrJ6743plypQBAGRmZrqsa4f5vbdXDJOIiIgKT1wPAijcF4bimhBAboeMUEVoYaZFbsTlGERuYu7CkN94rVq1bNYbcIa58OHx48cLVasBgKV436lTpxwW5zt9+nShr9GkSRPL47/++qvAx7sqc8F8U6rT6XDq1CmH+x47dgxA0T6fospbWPHixYsuOWdwcDAAx0ENQRCQmJhod7wgn4f5evld01WvL28xUFcUkjSZTJbCovZatRIREVHhietB+Cv9oVHar/9kjzgTAgCy9KwL4Y0YhCByk9WrV9sdi42NtRRJ7NSpU6Gv0atXLwBAWloaVq5cWahzmK//4MEDbN++3e5+K1asKNT5AeC5555DYGBudPqrr74qcI2EvLURcnJyCj2PvO+1o9dz+PBhJCQkSI4pbpUqVUKNGjUA5B/UcpY5C8VcwNGWX3/9FampqXbHC/J55M16cXTNH3/80eF5nGX+MyEIAhYuXFjk8yUkJCAzMxNAbrFSIiIici1XFKUEcoMXYqwL4Z0YhCByk23btmHjxo2S7ZmZmXjttdcA5Kaqmx8XRkxMjGXJx6RJk/LNMjhw4AD27bOu/xETEwN//9y/tN99912byzL27duHJUuWFHqeYWFhltcZFxeHCRMmQBAEm/vq9XpJccG8xSwvX75c6Hm0aNECzZo1AwAsXboUu3fvluyTlpZm9fmMHTu20NdzBXM3EXNmRlG1b98eAHD06FEcPHhQMn779m289dZbDs9RpkwZS3ZIfp9H69atLcte5s+fb/NznzdvnsteX+fOndGiRQvLeW39GcwrPj7eYfAt77w6d+7skjkSERHRYw9yRO05/Qq3DFYhV0gCEeyQ4Z0YhCByk2bNmmHw4MEYN24c9uzZg7i4OKxcuRLNmjWztKwcN25cvm04HfHz88PGjRvh5+eHzMxMPP/88xg6dCh++uknxMXFITY2Ftu2bcOMGTPQoEEDtGvXztKS06x8+fKYNWsWAODKlSto2rQpFi1ahNjYWOzfvx8ffPABunTpgsqVK1vVKCioWbNmWZYXfP3112jevDmWLl2KI0eO4MSJE9i2bRsmT56M6tWr47///a/VsVWqVEFUVBQA4PPPP8e2bdtw4cIFJCYmIjExsUAtMJcuXQq1Wg2DwYBu3bph0qRJ2LdvH44fP46lS5eiSZMmlvdo0qRJLqsrUFi9e/cGAFy7ds3hEglnjRkzBkqlEoIgoGfPnliwYAGOHz+OQ4cOYd68eWjcuDHS0tJQq1Ytu+dQKpWWFrQrVqzA+vXrce7cOcvnkbd2SLly5TBgwAAAua1ke/Xqhd9++w0nT57E1q1b0b9/f0yZMgWtW7cu8mszW7duHSIiImA0GjFw4ED06tULa9euxbFjxxAXF4dff/0Vs2fPRqtWrdCgQQNJYC4vc6CqYcOGHqtlQkREVJKlalOtnhemM4aZeEkGMyG8EwtTErnJxo0b0bFjRyxevBiLFy+WjPfr1w9ffPFFka/TsmVL7N27Fy+99BKSk5Oxdu1arF271u7+ISEhkm0TJ07EtWvX8OWXX+LGjRt48803rcbLli2LTZs2WW4mCyMgIAB//vkn+vXrh7/++gtxcXEYM2aM08dPnToVb7zxBpKSkiw35mYrV67EiBEjnDpPo0aNsH37dgwYMADp6en4z3/+g//85z+S/caNG4c5c+Y4PT936dmzJypUqIDbt29j3bp1+PDDD4t0vqeffhpz587Fu+++i4cPH+Kdd96xGo+IiMAvv/yC6dOn49KlS3bP88EHH6Bnz55ISUnB4MGDrcZmzJiBmTNnWp7Pnz8fx48fx6VLl7Bjxw7s2LHDav9Bgwbh1VdfddnSlyeeeAKHDx9Gv379cPbsWWzfvt1htoOtPxNAbtvOrVu3AgCGDh3qkrkRERGRNXFhyiIFIVQBSNGmWJ57YxDiesZ1bLq4CRqFBmqFGsHqYLz05Euenlax8vlMiOzsbMydOxfNmzdHREQEAgMDUadOHUycOBFXr14t8vmvXLkCmUzm1I+zN0FUOlSvXh1xcXGYOnUq6tati4CAAISGhuLZZ5/FmjVr8NNPPznszlAQLVu2xKVLl/Dtt9+ie/fuqFSpEtRqNTQaDaKjo9G5c2d88sknOH/+PIYPH27zHAsXLsTOnTvRpUsXREREQKPRoGbNmhg/fjxOnjxp+ea7KMqWLYt9+/bh559/Rv/+/REVFQU/Pz9oNBrUqFEDAwYMwNq1a/Hyyy9Ljh07diw2b96Mzp07o1y5ckV67zp37ozExERMnToVjRo1QkhICPz8/FClShUMGTIE+/fvx9dff223k0NxUiqVGDlyJIDcb/hd4Z133sFvv/2GLl26IDw8HH5+fqhevTrGjRuHkydPWpaAONK9e3fs3r0bvXv3RqVKlaBS2W9/Vb58eRw9ehTvvfceatWqBT8/P0RERFj+LKxfvz7f1psFVbt2bZw6dQrr1q1Dv379UKVKFfj7+0OtVqNixYro0KEDpk2bhri4OLuBna1btyIrKwsajcbyGRAREZFrPcxxTU0IQNohI9vgfUGIG5k3sOLsCiw+vRgLTizAolOLPD2lYicT7C3M9gGJiYno1q2b3W/rQkJCsHbtWvTo0aPQ17hy5YrTKbgxMTFYtWpVoa9lz/Xr1y3r/pOTky1p6c64dOmSpRWho/Rqco2ZM2fio48+AgC7NQ+ICuratWuoXbs2cnJycODAAbRp08bTUyoVOnXqhN27d+O1117Dt99+6+npuAz/XSAiIm/y2v9ew6GbhyzP32n6Dl6p90qhzhXzawxO3D1hef7vZ/6NQXUGFXmOrvTX9b8wbvc4y/MKgRXwv/7/8+CM7CvKfagjPrscIyMjA927d7cEIEaPHo1BgwbB398fe/bswZw5c5Ceno6BAwfi4MGDaNSoUZGv+fHHH0vSwPMKDy986hARkT1VqlTBuHHj8MUXX2DWrFn47bffPD2lEu/IkSPYvXs31Go1pk6d6unpEBERlVji7hiFLUwJ5C7HyMsbMyF0RuuW9xpFwduR+jqfDULMmzfP0ld+7ty5mDx5smWsVatW6NChA9q3b4/s7GxMmDABe/fuLfI1K1eu7PEidURUOv373//G8uXLsWvXLhw7dszSAYLcw5zR9Pbbb6NKlSoeng0REVHJJa4JUZTlGOLClFl67+uOoTVqrZ6rFWoPzcRzfDIIodfr8eWXXwIA6tati4kTJ0r2ad26NUaNGoXvvvsO+/btQ2xsrEvWtBMReUJERAR++OEHxMXF4f79+56eTomWnZ2Nli1bomXLlpLCnUREROQ6giBIMyGKUJhSUhPCCwtTMhPCR4MQe/bsQVpaGoDcOgz2iseNGDEC3333HQBgy5YtDEIQkU/r2bMnevbs6elplHgBAQGYMWOGp6dBRERU4mUbsqEzWd+UF7U7hvj83ibHmGP1vDRmQni+9HshHDhwwPK4ffv2dvdr1qwZAgJyfxEPHjzo9nkRERERERGRc8RLMYAi1oQQLcfwxkyIHIN1EMJP4eehmXiOTwYhEhISLI/r1Kljdz+lUomaNWsCAM6dO1fk63711VeoWbMmNBoNQkND8fTTT+P111/HiRMn8j+YSoWZM2dCEAR2xiAiIiIiyod4KYZKrpIsqSgIcSaEN9aEEGdClMYghE8ux7h+/ToAIDAwEGFhYQ73jY6OxpkzZ3Dv3j3k5OTAz6/wH3LeYENOTg4SEhKQkJCA7777Dq+99hoWLlxYqPObX489t27dKvA5iYiIiIiIvJmtehAymazQ55PUhPCB5RgMQviIjIwMAEBQUFC++wYGPv5FzMzMLFSQICwsDH369EGHDh1Qq1YtaDQa3Lp1C7///juWL1+OzMxMfPfdd8jIyMDatWsLfH5z71UiIiIiIqLSwpWdMQAfWY7BmhC+GYTQanPbmqjV+X9geYMOjx49KvC1KlWqhBs3blhqS5g1btwY3bp1w7hx49CpUydcu3YN69atw8CBA9GrV68CX4eIiIiIiKg0Sc1JtXpelHoQgG9mQmiUpa87hltrQshksiL/rFq1SnJejSb3g9LpdJIxsZycxx+yv79/gV+DWq2WBCDyqlWrFtasWWN5/tVXXxX4GsnJyQ5/jh07VuBzEhEREREReTNXtucEpJkQvlATgpkQPiI4OBhA7vKK/GRlPf7Fc2b5RmG0a9cOTz31FBISEnDgwAGYTCa7bUNtiYqKcsu8iIiIxFg4l4iIvIXLl2OIW3T6wHIMjaL0ZUK4NQjhio4UFStWlGyLiorC0aNHkZWVhdTUVIfFKZOTkwEAkZGRRSpKmR9zEEKr1SIlJQWRkZFuu1ZBKBQKGAwGGAwGGI1GKBQKT0+JiIg8xGg0wmg0AgD/PSAiIo97mOPiTAhxEMKQDZNgglzmPU0hxS06mQnhYo7aZxbFU089hc2bNwMAzp8/j5YtW9rcz2Aw4PLlywCAunXrumUuZkWp4upOAQEBliUpqampKFOmjIdnREREnpKammp57GipIRERUXFw9XIMW+09tQatJDjhSTkmdsfwnpBQAbRt29byeN++fXb3O378uGU5Rps2bdw6p4SEBAC5hTC96UY/b5bI3bt3cffuXWi1WqbjEhGVEoIgQKvVWv4NMAsPL9r/6BERERWVZDmGn2u7YwDeVxdCZ7Sua1gagxA+WROiQ4cOCA0NRVpaGlavXo0pU6bYzETIW9SyT58+bpvPwYMH8ffffwPIDZAUpB6Eu2k0Gst7BQApKSlISUmBTCZjKi4RUSlgNBolgefQ0FC3LlEkIiJyRnFkQnhbhwzxcgwGIXyEWq3G+PHjMWvWLJw7dw6ff/45Jk+ebLXP4cOHsXz5cgBA+/bt0bx5c5vnMgcvqlatiitXrkjGf/nlF/Tu3dvucovExEQMHjzY8vyNN94ozEtyq4oVK0KtVuPevXuWbYIgwGAweHBWRETkCZGRkV6VsUdERKVTjjFHEiAI04QV6ZwquQpKmRIG4fF9jrdlQogLU/opGYTwGZMnT8aGDRtw8eJFTJkyBYmJiRg0aBD8/f2xZ88ezJ49GwaDAf7+/liwYEGhr9OnTx/UrFkTffv2RYsWLRAVFQU/Pz/cunULu3btwvLlyy1dOl566SX07dvXRa/QdWQyGcqWLYuQkBBkZmYiKysLOp0OJpPJ01MjIiI3k8vlUKvVCAwMRFBQENTq0lcAi4iIvI84CwIo+nIMmUyGAFUA0nXplm3e1iFDEoRgJoTvCA4Oxs6dO9GtWzdcunQJS5YswZIlS6z2CQkJwdq1a9GoUaMiXSsxMRFz5851uM/YsWMxf/78Il3H3dRqNSIiIhARUbQ/3EREREREREUhrgehkCkQ4hdS5PNKghDethyDQQjfDUIAQM2aNXHy5EksWrQImzZtQmJiInQ6HaKjo9GtWze8/fbbqFq1apGusW3bNhw+fBhHjx7F1atXcf/+fWRlZSEkJAQ1atRAu3bt8Morr6BevXouelVEREREREQlmzgTItQv1CWtNAOV1nUhmAnhfXw6CAEAgYGBmDJlCqZMmVKo4/PrEtGzZ0/07NmzUOcmIiIiIiIiKUlnDI1rsrXF7TiZCeF9vKeNAxEREREREZUK4iBEGY1riiaLgxBeX5iSQQgiIiIiIiIi97r/6L7V8zL+LgpCKEWZEF60HMNoMsJgsu5QyCAEERERERERkZulPEqxeu6qIESgyromRJbBezIhxFkQAKBWlL6uVQxCEBERERERUbESZ0KU9S/rkvN6cyaEzqiTbNMoNR6YiWcxCEFERERERETFKkUryoRwU00IbwpCaI1ayTZmQhARERERERG5mdtqQnhxdwxbmRCsCUFERERERETkRkaTEak5qVbb3LUcw5u6Y9isCSFnJgQRERERERGR2zzMeQiTYLLa5qrlGOLClN6UCWGrPadMJvPQbDyHQQgiIiIiIiIqNuLOGDLIEK4Jd8m5vbkwpa0gRGnEIAQREREREREVG3EQIlwTDqVc6ZJzSzIhvCkIYWAQAmAQgoiIiIiIiIrRfa17ilIC0sKUWQbvrQlRGjtjAAxCEBERERERUTESZ0K4qh4E4N0tOnNM1kEIjULjoZl4FoMQREREREREVGwkQQhXZkKIakLoTXrojXqXnb8oxMsxmAlBRERERERE5Gbi5RhlNa5pzwlIa0IA3tMhQ7wcQ6NkJgQRERERERGRWxVnJgQAZOm9oy4Ea0LkYhCCiIiIiIiIis39R6JMCH/XZUL4K/0l27ylLgRbdOZiEIKIiIiIiIiKzQPtA6vnrixMqZArJIEIb+mQoTPqrJ4zCEFERERERETkRgaTAQ+1D622uXI5BiBdkuEtmRBao9bqOYMQRERERERERG70UPsQAgSrbS4PQnhpm05mQuRiEIKIiIiIiIiKRYrWuiilXCZHuF+4S68h7pDhrd0xGIQgIiIiIiIiciNxUcpwv3Ao5AqXXkO8HMNrumMYGIQAGIQgIiIiIiKiYuLO9pxmkuUY3poJoWQQgoiIiIiIiMhtxJkQruyMYeZMJsSOf3bgpe0v4e0/38adrDsun4MtXI6RS+npCRAREREREVHpIK4JUda/rMuvIakJISpM+fuV3/HB/g8AAOcenEOAKgBz2s1x+TzExEEItVzt9mt6I2ZCEBERERERUbHw9HKM5IxkzDg0w2r8xJ0TLp+DLeLuGBqlpliu620YhCAiIiIiIqJiIQ5CuCMTQrwcw5wJoTPqMHnfZGTqM63GM/QZLp+DLVqj1uq5WsFMCCIiIiIiIiK3ES/HiNBEuPwa4kwIc02I+XHz8XfK35L9s/RZEATB5fMQk2RCKJgJQUREREREROQ2ksKUbliOIakJYcjG7qu7sebcGpv7mwRTsXTQ0BqYCQEwCEFERERERETFQG/SIzUn1WpbcSzHuJ5xHdMPTXd4TKYu0+G4K4gzIUprdwwGIYiIiIiIiMjtHmofSra5o0WnOBPiTvYdZOgc130Q14lwhxwTW3QCDEIQERERERFRMRAvxVDIFAjzC3P5dcSZEGL/qvYv+Cv9rbblF6RwhRyDKAihf+T2a3ojBiGIiIiIiIjI7cSdMcI14VDIFS6/jrgwZV5Vgqvgw1YfIkgVZLXd3ZkQgiAgxygKQvx3CvBImh1S0jEIQURERERERG4nKUrphqUYgP0ghEquwuftP0eQOghB6uINQuhNegiw7sDhd+8isKY/kFM8LUK9BYMQRERERERE5Hbi9pzuKEoJSGtCmE1pPgV1y9QFAASrgq3G3F2YUpwFAQB+ggDcOA4c+cat1/Y2DEIQERERERGR24mXY7ijPScABKuDJdteqPoCBj450PJcHKhwexDi1DrJNj9BABoMAtq+69ZrexsGIYiIiIiIiMjtiisIEaIOQbPyzSzPq4ZUxUetP4JMJrNsK9blGMeWIuf3DySb/RoNBl78BlAo3XdtL1S6Xi0RERERERF5hHg5hrtqQgDAwucX4vu/v4dJMCHm6RhJdoT4uduCEIe+An6fhhyV9NZb3X0BIC99eQEMQhAREREREZHbiQtTuqsmBJCbDfFm4zftjou7Y7i8RacgAH/NA/Z8AgDQ5cnCAAClTAmlQuXaa/oIBiGIiIiIiIjI7SSZEG5ajuEMSYtOV9aEEARg90fAgfmWTVpREEKtULvuej6GQQgiIiIiIiJyK71Rj7ScNKtt7lyOkR9xTYgsfZZrTmwyAbs+AI5+a7VZnAmhUWpccz0fVPoWoBAREREREVGxEmdBAO5djpEfyXIMvQuWY5iMwPbxkgAEAGhbjLZ6XpozIRiEICIiIiIiIrcSByEUMgVC/UI9NBsbhSmLuhzDqAd+Hg2c/MF6u0wO9F4M3RPPWW32U/gV7Xo+jEEIIiIiIiIicitJe05NGchlnrsdDVQFWj0vUncMvRbYOBw4u9l6u1wJ9F0KNB6CHGOO1VBpDkKwJgQRERERERG5lSQI4cGilIALMyF0WcCPQ4B/9lhvV6iBAauBOt0AgEGIPBiEICIiIiIiIrcSt+eM8I/w0ExyiWtC6Ew66Iy6gtVq0KYB6wYC1w5bb1cFAIPWAk88b9nEIMRjXI5BREREREREbiWuCVFW47milIC0OwYAZOgKUJwy+wHwfW9pAEIdDAz92SoAAQA5BgYhzBiEICIiIiIiIrcSZ0J4ejmGOBMCKEBdiIw7wKruwM2T1tv9w4GYbUDVVpJDxJkQpbk7BpdjEBERERERkVuJa0J4sj0nkJuJoJQrYTAZLNucCkKkJudmQDy4bL09sBwwfCtQ/imbh4mDEBqFpsBzLimYCUFERERERERuJV6OUUbj2UwImUyGYFUBi1OmXAZWdJUGIEKigFd+sxuAAJgJkReDEERERERERORW3rYcA5DWhXAYhLjzd24AIv269fbw6sArvwJlnnB4LUkmhLL0ZkJwOQYRERERERG5jc6okxR99PRyDEBaFyJDb6cw5fU4YE1fQJtqvT2yLjD8FyC4Qr7XYibEYwxCEBERERERkduI60EAnl+OAUgzIbL0WdKdrhzIbcMpzpKo2Ci3C0agc6+DLTofYxCCiIiIiIiI3EZcD0IpVyLEL8RDs3lMkgkhbtF56Q9gwxDAoLXeXqU1MHgDoHH+NeiMOqvnDEIQERERERERuYE4EyJCEwG5zPPlCYPVDgpTJmwFfhoFmPTWBz3xPDBwLaAOKNC1tEbrQEZpDkJ4/pMnIiIiIiKiEktSlNILlmIAQKAq0Oq5pUXnqXXAphHSAESdHsDLPxY4AAFIMyFKc00IBiGIiIiIiIjIbcTLMbyhKCUgXY6Rqc8EjnwL/DIWEEzWOzcYBAxYDSgLl8Eg6Y6hYHcMIiIiIiIiIpfzxvacgI3lGLfjgXNLpTs2GwV0+xyQF/47/BwDu2OYMROCiIiIiIiI3EZcE8JbMiHEyzEyUpOkO7WZAHT/T5ECEICNTAglMyGIiIiIiIiIXM5ba0KIMyGy5DLrHTrOANq965JrsUXnYwxCEBERERERkds80D6weu4tmRBBCn+r5xl5sx26fQ60GO2ya4mDEKV5OQaDEEREREREROQ24uUYXlETQv8IwX99brUpUy4HZArgxW+AhgNdejlxd4zSXJiSNSGIiIiIiIjILXKMOcjQZ1ht8/hyDG06sKY/Aq8esdqcLZfD+NJqlwcgAEBr1Fo9L82ZEAxCEBERERERkVuIsyAAD2dCZKUAq3sCVw8g2GSSDj/R3uWXNJqMMJgMVtuYCUFERERERETkYuKilCq5CiHqEM9MJu0GsLIrcOsUACDIRhAiU5fp8suK60EApTsTgjUhiIiIiIiIyC1s1YOQyWR29nbnRC4D378IpF2zbAoQBMgEAUKe+WToMmwcXDTiehBA6e6OwUwIIiIiIiIicosUrSgI4Yl6ELfjgRVdrQIQACAPjUagKtBqW6a+eDIh/JQMQhARERERERG5lHg5RrHXg7h2FFjVHci6a729bG3glV0I8rNeGpKlz3L5FGwGIUpxJgSXYxAREREREZFbiJdjlPUvW3wXT/wD2DAM0Gdbb6/YCBi6GQgsiyBVkNWQO5Zj2KwJIS+9NSF8PhMiOzsbc+fORfPmzREREYHAwEDUqVMHEydOxNWrV11+vXPnzmHy5Mlo0KABwsPD4e/vj2rVqqFTp06YPXs2rly54vJrEhERERER+SKPLcf4+xdg3SBpAKJqGyBmOxCYGwwJVgdbDRdHYUo/hZ9n6mJ4CZ/OhEhMTES3bt1w6dIlq+0XLlzAhQsXsGzZMqxduxY9evQo8rUEQcC0adMwd+5cGAzW7VWuXr2Kq1evYvfu3QgICMCECROKfD0iIiIiIiJfZ6swpdvFrQJ2vAMIou4XtboAL60GVP6WTZ6oCVGaO2MAPhyEyMjIQPfu3S0BiNGjR2PQoEHw9/fHnj17MGfOHKSnp2PgwIE4ePAgGjVqVKTrjRkzBsuWLQMANG3aFK+88grq16+PoKAg3L17F8eOHcPmzZtLdUSLiIiIiIgoL0kmhLuDEAfmA3/MlG6vPwB48RtAobLaHKwSZUIUQxBCo9C4/Bq+xGeDEPPmzcPFixcBAHPnzsXkyZMtY61atUKHDh3Qvn17ZGdnY8KECdi7d2+hr7VixQpLAGLq1Kn4+OOPJcGGLl26YPr06dDppO1XiIiIiIiISiNJYUp3LccQBOCPGcDBhdKxZq8A3f4DyKXVCILUxVATwsBMiLx8siaEXq/Hl19+CQCoW7cuJk6cKNmndevWGDVqFABg3759iI2NLdS1MjIyMGnSJABA9+7d8cknnzjMdlCrS/cvFBEREREREQA8MjySdJtwS2FKkxHYPt52AKLdJKD7FzYDEIA0COGWTAiTtCZEaeaTQYg9e/YgLS0NABATEwO5nV+oESNGWB5v2bKlUNdau3YtHj58CAD497//XahzEBERERERlTbiehCAG5ZjGHKAn0YCJ76XjnX+BOg4HXDwJbK4O0aWzvUtOnVG62z50h6E8MnlGAcOHLA8bt++vd39mjVrhoCAAGRnZ+PgwYOFutamTZsAAGXLlkWrVq0s2+/evYv09HSUK1cOISEh9g4nIiIiIiIqlcT1INRytaQGQ5HkZAIbhgL/7LHeLpMDvb4CGg/N9xSSFp161y/H0Bq0Vs8ZhPBBCQkJlsd16tSxu59SqUTNmjVx5swZnDt3rsDXMZlMlmUc9evXhyAI+PrrrzF//nwkJSVZ9mvYsCHeeustjBw50m5WhiPXr193OH7r1q0Cn5OIiIiIiMiTJPUg/Mu4rpB/9gNg7QDgxnHr7Qo10H8FULenU6cpjhadkkwIJYMQPsd80x4YGIiwsDCH+0ZHR+PMmTO4d+8ecnJy4Ofn/AeenJyMjIzcSFhERAT69etnc1nH6dOn8eqrr2L79u3YuHFjgetCREdHF2h/IiIiIiIibydpz+mqopTpN4Ef+gL3RF80q4OAQWuBGh2cPpU4E8IdNSG0RmZC5OWTNSHMgYGgoKB89swNVJhlZhbsF+rBgweWxzt37sSWLVtQu3ZtbNu2Denp6cjIyMCOHTss2Rhbt27F+++/X6BrEBERERERlUTi5RguKUp5PxFY3kUagPCPAGK2FSgAARRPYUrWhLDmk5kQWm1uJMmZjIO8mQ+PHj0q0HWysh4XJdFqtahQoQIOHDiAyMhIy/bu3bvjmWeeQcOGDXHz5k18/fXXePfddxEVFeX0dZKTkx2O37p1Cy1atCjQ3ImIiIiIiDxJkglR1KKUN08Ba/oB2dbLPBBcCRi2BShnf6m+PZJMCF0mBEFw3bIRADlGdsfIy62ZEDKZrMg/q1atkpxXo9EAAHQ6nWRMLCfn8Qfu7+9foPmbr2M2ZcoUqwCEWdmyZTF16lQAue1Df/755wJdJyoqyuFPxYoVC3Q+IiIiIiIiT3NpECJpP7CqhzQAUaYmMGpXoQIQgDQTwigY8chQsC+v88MghDWfXI4RHJxbPMSZ5RV5sxmcWb5h6zpmnTt3trtvly5dLI/NxSyJiIiIiIhKK0lhysLWhDi3IzcDQifqXFGxEfDKLiCsSuHOC9js1uHqJRkMQlhz63KMwnSkELOVBRAVFYWjR48iKysLqampDotTmpc6REZGFqgopfk6MpkMgiAAcFxAMu/YvXv3CnQdIiIiIiKiksYlNSFO/ABsHw8IJuvt1Z8FBq0D/IrW8jNQHSjZlqnPRDmUK9J588oxMAiRl1uDEI7aZxbFU089hc2bNwMAzp8/j5YtW9rcz2Aw4PLlywCAunXrFvg6gYGBqFq1Kq5cuQIAMBqNdvfNO6ZU+mSpDSIiIiIiIpcp8nKMgwuB/30o3V63J9B3GaDSSMcKSCVXQaPQWHWwcHWbTnEmhFpRsG6KJY1PLsdo27at5fG+ffvs7nf8+HHLcow2bdoU6lrPPvus5fE///xjdz9zsAMAKleuXKhrERERERERlQTZ+mxkG7Kttjm9HMNkAn6fZjsA0SQGGLDaJQEIM0mHDBcHIcTdMTRK183dF/lkEKJDhw4IDQ0FAKxevdqyXEIsb1HLPn36FOpa/fr1szzesmWL3f3yFqNs165doa5FRERERERUEoiXYgBOLscw6oGt44BDX0nH2r4L9FwIyBUumOFj4g4ZGfoMO3sWTt4sCwBQy5kJ4XPUajXGjx8PILfuxOeffy7Z5/Dhw1i+fDkAoH379mjevLnNc5m7cFSrVs3meI8ePVCvXj0AwIIFC/D3339L9sk7h8jISPTt27fAr4mIiIiIiKikEC/F8FP4IVAlrb9gRZcN/DgEOL1OOtb5E6DTDMCFrTPNxEGILH2WnT0LR5wJwZoQPmry5MnYsGEDLl68iClTpiAxMRGDBg2Cv78/9uzZg9mzZ8NgMMDf3x8LFiwo9HXkcjm++eYbdOzYEVlZWWjbti2mTJmC5557DgDw119/4dNPP7V06vjqq68QEBDgipdIRERERETkk+qWqYufe/2M+4/uI0WbgkeGR5A5CiA8egisGwgkH7XeLlMAvRcBjV5221zFyzEyxF04ikicCeGnZBDCJwUHB2Pnzp3o1q0bLl26hCVLlmDJkiVW+4SEhGDt2rVo1KhRka7Vtm1brFu3DiNHjkRqaiqmTp0q2UelUuHLL7/EwIEDi3QtIiIiIiIiX+en8EOt8FqoFV4r/53TbwI/9AXuiborKv2Bl1YDtbu4Z5L/X7DausOGq1t0MhPCms8GIQCgZs2aOHnyJBYtWoRNmzYhMTEROp0O0dHR6NatG95++21UrVrVJdfq168fmjdvjq+++go7d+5EcnIyTCYToqOj0alTJ0yYMAE1a9Z0ybWIiIiIiIhKhfuXgB/6AGnJ1ts1ocDgTUCVZ9w+BfFyDHd3x2AQwscFBgZiypQpmDJlSqGOt1fU0pYqVapg3rx5mDdvXqGuRURERERERP/fjRPA2v5AtqiIZXBFYOjPQPmnimUa4loVrs6EyDEwCJGXzwchiIiIiIiIyMdc/hP4cSggLgJZpiYwbAsQVqXYpiJZjuHqTAiTdRBCrSjd3TEYhCAiIiIiIqLiE/8TsOV1wKS33l6pMTDkJyDQiVaeLuTuFp3imhAahcal5/c1DEIQERERERFR8TjyDfDb+9LtNToAA9cAfsHSMTcTZ0Jk6VzXolMQBGgN1t0xmAlBRERERERE5E6CAOz+CDgwXzr2dB+gz3eAh1pXurMmhMFkgADrOoQaJTMhiIiIiIiIiNzDaAC2jwdOrZWOtXgN6PopIJcX/7z+vyC1aDmGznXLMbRGrWQbC1MSERERERERuYMuG/hpJHDxN+lYxw+Btu8CMlnxzyuPYJWoMKULMyHE7TkBLsdgEIKIiIiIiIhcL/sBsG4gcP2Y9XaZHOi5EGgy3DPzEhFnQuQYc6A36qFSqIp8bnFRSoCFKRmEICIiIiIiItdKuw780Be4f8F6u1ID9F8J1OnmmXnZIO6OAeRmQ4Qrwot8blvLMUp7JoTnFt4QERERERFRybTjHWkAQhMKDN/qVQEIQJoJAQCZOtcsyRBnQihlSijlpTsXgEEIIiIiIiIicq2eXwKhVR4/D64EvLILqNLSc3OyQ6PQQCmzDgxk6F1TnJLtOaUYhCAiIiIiIiLXCqkIDPsZ8I8AytYGRv0OlKvr6VnZJJPJJNkQWfosl5xbnAlR2jtjAKwJQURERERERO5Qtlbu8ovQKCAgwtOzcShQFYjUnFTLc1e16RR3x/BTMgjBTAgiIiIiIiIqFEEQcPGOgxv2ig28PgABAMFq97TplAQhmAnBIAQREREREREVnMFowgc/x6PHVwdw9J8UT0+nSMQdMtyVCcGaEAxCEBERERERUQFl6wx47Yc4/BibDJ3BhNHfH3ecEeHlxEEIV9WEEAchNAqNS87ryxiEICIiIiIiIqelZOZg8NKj2H3+rmVbutaAkStjodUbPTizwhMXpnRVi05mQkixMCURERERERE55VpKNmJWHkPSfetMAT+lHB/2fAoalcJDMysayXIMF7XoFHfHYCYEgxBERERERETkhPjraRi56hjuZ1rfWIf6q7A8phmaVfP+ApT2iAtTZulcsxxDa9BaPWcmBIMQRERERERElI99F+9h7Jo4ZOusl1tUDvPH6leao2a5YDtH+oZAVaDVc1dlQrA7hhSDEERERERERGTX5rjreG/zGRhMgtX2uhVDsGpkc5QP8f0lBpIWnS6qCSFejsEgBIMQREREREREZIMgCFi89zLm7bogGWv9RBl8O6wpQjQqD8zM9cQ1ITL1rglCaI3WyzEYhGAQgoiIiIiIiESMJgEztp3FmiPXJGO9GlbC5wMaQq0sOc0WJd0xXBSEkGRCKBmEYBCCiIiIiIiILB7pjHhr/Un8ce6OZGzMszXwftc6kMtlHpiZ+0gyIVy0HIOZEFIMQhAREREREREAICUzB6NWH8ep5FSr7TIZMK37UxjVtrpnJuZm4kyILH0WTIIJclnRsj3EmRDsjsEgBBEREREREQG4mpKFmBXHcCUl22q7WiHHFwMbokeDSh6amfsFq6wLUwoQkKXPkhSsLChxdwyNwveLeBYVgxBERERERESl3OnkVLyyKhYpWdbf3IdolFgW0xwtqkd4aGbFQ5wJAcAtQQhmQgAlp5IIERERERERFdjuc3cwaMkRSQCicpg/No9tXeIDEAAQoAyQbMvQZRT5vMyEkGImBBERERERUSm17ug1TPslHibBenvdiiFYNbI5yoeUjptmhVyBQFUgsvRZlm2u6JCRY2AmhBiDEERERERERKWMIAj4/PcLWLTnsmSsXa2yWDykCYI1Kg/MzHOCVEFWQQh3ZEKwOwaDEERERERERKWKzmDClJ9O45dTNyVjfZtUxqd9G0CtLH0r94PVwbiT/bgtad6ARGGJu2NolKUjs8QRBiGIiIiIiIhKibRHerz+QxwO/5MiGRv33BOY1PlJyGQyD8zM8wJVgVbPXZEJoTVqrZ5zOQaDEERERERERKXCjdRHGLnyGC7esa51oJDLMKt3PQx+poqHZuYdxB0yXFETQpwJweUYDEIQERERERGVeH/fTMPIlbG4m2FdoyBArcCiwU3wXJ1yHpqZ9whWWbfjzNQVPQghzoRgEIJBCCIiIiIiohJt38V7eGNNHLJ0RqvtZYP8sHJEc9SPCvXQzLyLqzMhjCYjDCaD1TYGIRiEICIiIiIiKrE2xibjgy3xMIp6cNYsF4SVI5ojOiLAQzPzPkEqURCiiJkQOpNOso1BCAYhiIiIiIiIShxBEPCf3y/i6z2JkrFnqkdgybBmCA0oXS048yMOQmToi1aYMseQI9nGIASDEERERERERCVKjsGIKT+dwVYbLTh7NqyEzwc0gJ9S4YGZeTfxcoyitujMMUqDEOyOwSAEERERERFRiZGarcOYH+JwLOmBZOz19k9gSpcnIZeXzhac+QlWu7YwpbgzBgBolJoinbMkYBCCiIiIiIioBLiWko0Rq47hn3vW3+Ar5DL8X++nMeSZqh6amW8IVAVaPc/QFW05hrgzBgCo5cyEYBCCiIiIiIjIx51KTsWrq2NxP9P62/cAtQKLhjTBc0+yBWd+JC06i9gdQ5wJ4afwg0zGLBQGIYiIiIiIiHzYb2dvY8KGk9DqTVbby4f4YXlMc9SrzBaczrDVolMQhEIHDsSZEKwHkYtBCCIiIiIiIh8kCAJWHLyCj3cmQLDuwIk6FYKxYkRzVArz98zkfJA4E8JgMiDHmFPoOg7iwpTsjJGLQQgiIiIiIiIfYzCaMGtHAlYfvioZa1erLBYNaYIQDVtwFkSgOlCyLVOfWegghK3lGMQgBBERERERkU/JyjHgrfUn8ef5u5Kxl5pF4ZM+9aFSyD0wM98mzoQAcotTlvUvW6jziZdjMAiRi0EIIiIiIiIiH3E7TYtXVsUi4Va6ZGziC7Xx5vM1WfywkFQKFfwUflbLKLL0WQ6OcIyZELYxCEFEREREROQDEm6m45VVsbidLi54KMe8AQ3Qu1FlD82s5AhSBVkFIYrSplNrYCaELQxCEBERERERebk9F+7izbUnkKUzWm0PD1BhyfBmaF4twkMzK1mC1EFI0aZYnhelTSczIWxjEIKIiIiIiMiLrTlyFTO2/Q2jyboFRvWygVgxojmql5UWVKTCCVKJ2nTqCh+EkHTHUDIIATAIQURERERE5JWMJgFz/nsOyw4kScaaVwvHkmHNEB6o9sDMSq4gtSgIUYRMCLbotI1BCCIiIiIiIi+TrTPg7R9P4X8JdyRjvRtVwtz+DeCnVHhgZiWbuEOGKzMh1AoGjAAGIYiIiIiIiLzKnXQtXl19HPE30iRj45+viXdeqM0OGG4SqLJe2pKhL3xhSnEQQqPQFPpcJQmDEERERERERF4i4WY6Rq2Oxa00684KKoUMc/o2QP+mUR6aWekQrLbOhChKi05mQtjGIAQREREREZEX+PP8Hby17qSkA0aovwrfDm2KVk+U8dDMSg9xTYiitOgUd8dgJkQuBiGIiIiIiIg8bNXBJPzfjgSIGmCgWpkArBjRHDUig2wfSC7lyu4YWoN1NgszIXIxCEFEREREROQhBqMJH+88h1WHrkjGWlSLwLfDmiKCHTCKjSQIUYTuGOJMCHbHyMUgBBERERERkQdkaPV4a/1J7L1wTzLWp3FlfNqvPjtgFDNXtujUGq0zIRiEyMUgBBERERERUTFLfpCNV1cfx4U70poD73SqjfEda7IDhge4skUnMyFsYxCCiIiIiIioGMVdfYjXfjiO+5nWN6lqhRzzBjRA70aVPTQzcmUmhLg7hp+SQQiAQQgiIiIiIqJis+30TUzadBo6g8lqe5lANZYMb4qmVSM8NDMCpDUhHhkeQW/SQyVXFfhckiAEMyEAMAhBRERERETkdoIgYOHuS1jwxyXJWK1yQVgxojmiIwI8MDPKS5wJAQDZ+myE+oUW+FziIAS7Y+RiEIKIiIiIiMiNtHojpvx0BttO35SMtatVFouGNEGIpuDftJPriTMhACBDl+GSIIRGoSn0vEoSBiGIiIiIiIjc5F5GDl774ThOXEuVjA1rWRUzej4FpUJe/BMjm/yV/lDIFDAKRsu2wtaFYCaEbQxCEBERERERucG5W+l4dfVx3Eh9ZLVdLgM+7PEURrSp7qGZkT0ymQyBqkCk69It2zJ00g4mzmB3DNsYhCAiIiIiInKxPxLu4O0fTyJLZ7TaHuSnxFcvN8Zzdcp5aGaUn2B1sFUQIkufVeBzCIIArUFrtY1BiFwMQhAREREREbmIIAhYtj8Js389B0GwHqsc5o/lI5qhToUQz0yOnCKuC1GYTAiDyQAB1r8ADELkYhCCiIiIiIjIBXQGE6b9Eo+Nx69LxppWDcd3w5qibBBvRL1doCrQ6nlhakKI60EAgEbJwpQAgxBERERERERF9jBLh9fXxOFo0gPJWJ/GlTGnb31oVAoPzIwKKlgdbPU8U1fwIITWqJVsY2HKXD5fhjU7Oxtz585F8+bNERERgcDAQNSpUwcTJ07E1atXi3z+atWqQSaTFejnypUrRX9hRERERETkExLvZuDFxQdtBiAmd3kSX7zUkAEIHxKktl6OUZhMCHFRSoDLMcx8OhMiMTER3bp1w6VLl6y2X7hwARcuXMCyZcuwdu1a9OjRo9jmFBoaigoVKhTb9YiIiIiIyHP2XriLt9adREaOwWq7v0qB+QMbomu9ih6aGRWWuCaEqzIhGITI5bNBiIyMDHTv3t0SgBg9ejQGDRoEf39/7NmzB3PmzEF6ejoGDhyIgwcPolGjRoW6zu+//w6dThrFyuuPP/7AO++8AwB46aWXoNFwrQ8RERERUUkmCAJWHLyCT3YmwCQqQFkhRINlMc1Qr3KoZyZHRSJejpGhL3hhSnEmhEKmgFLus7ffLuWz78K8efNw8eJFAMDcuXMxefJky1irVq3QoUMHtG/fHtnZ2ZgwYQL27t1bqOvUrl07331mzZpleTx8+PBCXYeIiIiIiHyDzmDC9F/OYsPxZMlYg6hQLB3eDOVD+MWkr3JFJoS4MCWzIB7zyZoQer0eX375JQCgbt26mDhxomSf1q1bY9SoUQCAffv2ITY21i1zSUtLw7Zt2wAANWrUQNu2bd1yHSIiIiIi8ryUzBwMXXbUZgCiR4OK2DCmFQMQPk6SCVGIFp05BgYh7PHJIMSePXuQlpYGAIiJiYFcbvtljBgxwvJ4y5YtbpnLxo0bodXmrvdhFgQRERERUcl14XYGei86iGNXpAUo332hNr56uTH81SxA6eskmRAuaNHJzhiP+eRyjAMHDlget2/f3u5+zZo1Q0BAALKzs3Hw4EG3zOX7778HAMhkMgwbNswt1yAiIiIiIs/6I+EO3v7xJLJ0Rqvt/ioFvnipIf5VnwUoSwqXZEKIghAaJbNjzHwyEyIhIcHyuE6dOnb3UyqVqFmzJgDg3LlzLp9HUlKSJbjRtm1b1KhRw+XXICIiIiIizxEEAd/svYzRPxyXBCAqhmqw6fVWDECUMOIgBDMhXMsnMyGuX78OAAgMDERYWJjDfaOjo3HmzBncu3cPOTk58PNz3Vqc77//HoKQWwq3KEsxzK/Hnlu3bhX63EREREREVDhavRHvbT6DraduSsYaRYdhyfCmKBfMb7hLGvFyjCx9FowmIxRy55faiLtjaBT8PTHzySBERkZuOkxQUFA+e+YGKswyMzNdGoT44YcfAAD+/v546aWXCn2e6OhoV02JiIiIiIhc4HaaFq/9cBynr6dJxvo0row5fetDo2L9h5IoSC29z8zUZyLUz/mWq1qj1uo5MyEe88kghLkQpFqd/weZN+jw6NEjl83h0KFDuHz5MgCgd+/eCAkJcdm5iYiIiIjIc04lp2LM98dxN8M6pV4mAyZ3eRJj2z8BmUzmodmRu4Wopfd2BQ1CiDMh2B3jMbcGIVzxB3PlypVWXS4AQKPJTWXR6XQ2jrCWk/P4Lw5/f/8iz8fMXJASyO3QURTJydL2PnndunULLVq0KNI1iIiIiIgof1tOXsd7m+OhM5istgf5KbFwUCN0rFveQzOj4uKv9IdCpoBReFwDpKDFKcU1IRiEeMwnMyGCg3MLhWRm5l8gJCsry/LYmeUbzsjJycHGjRsBABUrVsQLL7xQpPNFRUW5YlpERERERFRIRpOAubvO47t9/0jGqkQEYFlMM9QuH2zjSCppZDIZAlWBSNelW7YVNAihNVgvx2AQ4jG3BiFc0ZGiYkVppdmoqCgcPXoUWVlZSE1NdVic0pxlEBkZ6bJ6ENu3b8fDhw8BAIMHD4ZCwbVgRERERES+Kl2rx4QfT+HP83clY62fKINFg5sgPJBr+kuTYHWwVRAiU1ewDhni5RisCfGYW4MQjtpnFsVTTz2FzZs3AwDOnz+Pli1b2tzPYDBY6jbUrVvXZdd35VIMIiIiIiLynH/uZWL098dx+V6WZCymVVVM6/EUVAq5B2ZGnlTUNp3iwpTsjvGYT/5patu2reXxvn377O53/Phxy3KMNm3auOTa9+7dw2+//QYAaNSoEerXr++S8xIRERERUfHae+Euei86KAlAKOUyzO5THx/1rscARCklbtOZNyvCGcyEsM8n/0R16NABoaG5lUlXr14NQRBs7rdq1SrL4z59+rjk2uvXr4derwfALAgiIiIiIl8kCAK+23cZr6yKRYbWYDUWEajG2lefweBnqnhoduQNxG06C7ocQ1yYUqNkJoSZTwYh1Go1xo8fDyC37sTnn38u2efw4cNYvnw5AKB9+/Zo3ry5zXPJZDLIZDJUq1bNqWubl2IolUoMHjy4ELMnIiIiIiJP0eqNmLDhFOb8eh4m0XeZdSuGYNubbfBMjTKemRx5DXGbzoIuxxAHIZgJ8ZhPdscAgMmTJ2PDhg24ePEipkyZgsTERAwaNAj+/v7Ys2cPZs+eDYPBAH9/fyxYsMAl10xISEBcXBwAoGvXrihXrpxLzktERERERO53K+0Rxnwfh/gbaZKx7g0qYl7/BghQ++wtErmQeDkGW3S6js/+CQsODsbOnTvRrVs3XLp0CUuWLMGSJUus9gkJCcHatWvRqFEjl1wzb0HK4cOHu+ScRERERETkfsevPMDra07gfqb1zaFMBkzq/CTe6PAEZDKZh2ZH3ka8HINBCNfx2SAEANSsWRMnT57EokWLsGnTJiQmJkKn0yE6OhrdunXD22+/japVq7rkWiaTCWvXrgUAhIWFoVevXi45LxERERERude6o9cwY9tZ6I3W6y+C/JRYMLAROj1V3kMzI28VrCpadwwGIezz6SAEAAQGBmLKlCmYMmVKoY63V9RSTC6XIzk5uVDXICIiIiKi4qczmDBz+99Yd/SaZKxamQAsi2mGmuWCbRxJpZ2kRWcBC1OKu2MwCPGYzwchiIiIiIiIxO5maPHGmhM4fvWhZKxdrbL4+uUmCA1QeWBm5AskyzH0BVuOoTVorZ4zCPEYgxBERERERFSinE5OxWs/xOF2ulYy9lr7GpjSpQ4UctZ/IPvEyzEKWhOCmRD2MQhBREREREQlxk9x1zF1Szx0BpPVdo1Kjrn9G6JXw0oemhn5EnEmREGXY2iNokwIJYMQZgxCEBERERGRz9MbTfhk5zmsOnRFMlY5zB/fDWuKepVDi39i5JPENSG0Ri30Rj1UCueW8DATwj4GIYiIiIiIyKfdz8zBm+tO4Mg/DyRjLWtEYNHgJigTxJtAcp44CAHk1oWIUEQ4dTy7Y9jHIAQREREREfmsM9dT8foPcbiZJq3/MLJNNUztVhcqhdwDMyNfFqQKkmzL1GUiQpN/EMJoMkJv0lttYxDiMQYhiIiIiIjIJ9mr/6BWyvHJi/UwoFm0h2ZGvs5P4QelXAmDyWDZ5myHDJ1JJ9mmVqhdNjdfxyAEERERERH5FL3RhI93JGD14auSsQohGnw7rCkaRYcV/8SoxJDJZAhRh+CB9vESH2eLU4rrQQCARqFx2dx8HYMQRERERETkM+5l5GDc2hM4dkVa/6FF9dz6D5HBTH2nogtSBVkFIZxt06k1SJcGMRPiMQYhiIiIiIjIJ5xKzq3/cDtdepM3onU1/Ls76z+Q64jbdDobhLCVCcGaEI8xCEFERERERF5vQ+w1TP/lb+iM0voPs/vUR/+mUR6aGZVUwSrrDhmZeueWY2iN0iAZgxCPMQhBREREREReK8dgxMxtCVh/7JpkrFKoBt8Na4b6UaEemBmVdOI2nYWtCaGWqyGTyVw2L1/HIAQREREREXmlW2mP8PqaEzidnCoZa1kjt/5DmSB+w0zuIV6Oka5Ld+q4HGOO1XM/JX9H82IQgoiIiIiIvM7hyyl4c90JpGRJ19e/0qY6pnarAyXrP5AbBamsgxCFXY7BpRjWGIQgIiIiIiKvIQgClh9Iwpxfz8NoEqzG/FUKfNqvPno3quyh2VFp4qrlGAxCWGMQgoiIiIiIvEK2zoD3Nsdj++mbkrGqZQLw7dCmqFsxxAMzo9JIHITI0DvZopOZEA4xCEFERERERB6XdD8Lr/8Qhwt3pDd6zz0ZiQUDGyM0QOWBmVFpJV6OUdgWnQxCWGMQgoiIiIiIPOr3v29j4sbTyMgxSMbe7lgLb3esBbmc3QWoeBV2OYakMCWDEFYYhCAiIiIiIo8wmgR88b8LWLTnsmQsWKPEgoGN0LFueQ/MjEjaHcPZwpQ5BgYhHGEQgoiIiIiIit2DLB3Grz+JA4n3JWNPlg/Gt8OaonrZQA/MjCiXOBMiXZcOQRAgkznOyhFnQqgVapfPzZcxCEFERERERMXqVHIq3lgTh5tpWslY70aVMKdvfQSoeatCnhWssg5CGEwG5BhzoFFqHB4nDkLkt39pwz/ZRERERERULARBwPpjyZi57W/ojCarMaVchmnd6yKmdbV8v2kmKg7i5RhA7pKMggYhmAlhjUEIIiIiIiJyO63eiOm/nMWmuOuSsXLBflg8pAmaVYvwwMyIbBNnQgC5HTLK+pd1eJy4O4ZGwUyIvBiEICIiIiIit7pyPwtj157AuVvpkrEW1SPw9eDGKBfMGzXyLiqFChqFBlrj42VDzrTpzLs/wEwIMQYhiIiIiIjIbX7/+zYmbjqNDK20/ebodtUxpWsdqBRyD8yMKH9B6iBoHz0OKjjTplOcCcHuGNYYhCAiIiIiIpczGE2Y9/sFfLfvH8lYoFqBz/o3QI8GlTwwMyLnBamCcP/R4w4uGfr8MyHENSEYhLDGIAQREREREbnU3Qwtxq8/iSP/PJCM1SoXhG+GNkXNctKif0TeRtym05lMiBwDgxCOMAhBREREREQuE3vlAcatPYG7GTmSsV4Nc9tvBvrxNoR8gzgI4UxNCHbHcIx/+omIiIiIqMgEQcCy/Un49LfzMJoEqzGVQobpPZ7CsJZV2X6TfEqQyjpjpzDLMdgdwxqDEEREREREVCRpj/SY8tNp7Pr7jmSsYqgGi4c0QeMq4R6YGVHRFGo5BjMhHGIQgoiIiIiICu3sjTS8sfYErj3Iloy1q1UWCwY2Qpkgrokn3yQJQugLHoTQKJkJkReDEEREREREVGCCIODH2GTM2PY3dAaT1ZhMBrz1XE283ak2FHIuvyDfJV6Oka5Lz/cYZkI4xiAEEREREREVSLbOgGlbzuLnkzckY+EBKswf2AgdnizngZkRuVaQ2joIUZjlGOyOYY1BCCIiIiIiclri3Uy8sTYOF+9Ib8YaVwnDosFNUCnM3wMzI3I9VyzHYBDCGoMQRERERETklK2nbmDqz/HI0hklY6+0qY73/1UHaqXcAzMjco9gVcFbdOqMOqvnDEJYYxCCiIiIiIgc0uqN+L8dCVh39JpkLMhPibn9G6Bb/YoemBmRe4mXY+QXhBAEgZkQ+WAQgoiIiIiI7LpyPwtvrD2BhFvSgnx1KgRj8ZAmqBEZZONIIt8nXo6Rpc+CIAiQyWwXXDWYDDAJ1oVaGYSwxiAEERERERHZtPPMLby3+QwycwySsZeaReH/eteDRqXwwMyIioe4O4ZRMOKR4RECVAE297fVPcNfyRopeTEIQUREREREVnIMRszeeQ6rD1+VjGlUcnz8Yn30bxrlgZkRFS9xJgSQG2iwF4S4m33X6rlcJkcZ/zJumZuvYhCCiIiIiIgskh9kY9y6EzhzPU0yVrNcEBYPaYLa5aU3ZkQlkTgTAvj/bToDbe9/J/uO1fOymrJQynnbnRffDSIiIiIiAgD8dvYWJv90Bhla6fKLvo0r4+M+9RCg5i0ElR4KuQIBygBkG7It2xy16RRnQpQLKOe2ufkq/g1CRERERFTKOVp+4aeU4/96P42XmkXbLcZHVJIFqYOsghCOOmSIMyHKB5Z327x8FYMQRERERESl2JX7WXhz/QmcvSEtqFcjMhCLhzRBnQohHpgZkXcIUYdYZTg4DEJkWQchmAkhxSAEEREREVEptePMTby/Od5m94vejSrhkz71EeTHWwYq3cR1Ibgco2j4NwoRERERUSmj1RvxfzsSsO7oNcmYn1KOj3o9jYHNufyCCMhdjpGXo0wIcRCifACXY4gxCEFEREREVIpcvpeJcWtP4Pxt6Y3UE5GBWMTlF0RWglXW3WAKkgnBIIQUgxBERERERKXEzyeuY9ovZ5GtM0rG+jWJwqwXn2b3CyKRYLV1EMJeJkS2PhsZeusxLseQ4t8wREREREQlXFaOAR9u/RubT1yXjPmrFPi/3k9jQLNoD8yMyPs5uxxD3BkDYBDCFgYhiIiIiIhKsISb6Xhz/Qn8cy9LMla7fBAWDW6CWuWDbRxJRIA0E8LecgzxUoxgdTACVAFum5evYhCCiIiIiKgEEgQBa45cxayd56AzmCTjg5pHY0bPp+GvVnhgdkS+Q9wdw9lMCNaDsI1BCCIiIiKiEiYtW4/3Np/Bb3/flowF+Skxu2999GpYyQMzI/I9ztaEYHtO5zAIQURERERUgsRdfYjx60/iRuojyViDqFB89XJjVC0T6IGZEfkmZ5dj3MliJoQzGIQgIiIiIioBjCYB3+xNxPw/LsFoEiTjr7atjild60CtlHtgdkS+S7wcI1PnXE0IZkLYxiAEEREREZGPu52mxTsbTuHwPymSsfAAFf7zUkM8X4ffyhIVhrg7RqY+E0aTEQq5dT0VcU0IBiFsYxCCiIiIiMiH7T53B5M2ncbDbL1k7JnqEVg4qDEqhGo8MDOikiFEHSLZlmXIkmwXZ0JwOYZtDEIQEREREfmgHIMRc/57HqsOXZGMyWXAhE61Me65mlDIZcU/OaISRLwcA8hdkpE3CKE36XH/0X2rfcoHMghhC4MQREREREQ+5vK9TLy17iQSbqVLxiqFarDw5cZoXi3CAzMjKnkCVAGQQQYBj2utiDtkpDxKsRoHuBzDHgYhiIiIiIh8hCAI2Hg8GTO3JeCR3igZ7/p0BXzarz7CAtQemB1RySSXyRGkCkKG/nHgQRyEENeDUMlVCPcLL5b5+RoGIYiIiIiIfEBath4fbDmD/8bfloz5KeX4sOdTGNyiCmQyLr8gcrVgdbBVEELcptNWZwz+WbSNQQgiIiIiIi939J8UvLPhFG6maSVjtcsH4auXm+DJCsEemBlR6RCkDgKyHj+XZEJkWWdCsCilfQxCEBERERF5Kb3RhC93X8KiPYkwCdLxIc9UwfQeT0GjUkgHichlxMUpncmEINsYhCAiIiIi8kLXUrLx9oaTOHktVTIWFqDCZ/0aoMvTFYp/YkSlULDaOtMov5oQzISwj0EIIiIiIiIvs/XUDfx7y1lk5hgkY61qlMH8gY1QIVTjgZkRlU7iIESmjpkQhcUgBBERERGRl0jX6jH9l7PYeuqmZEwpl2Fi5ycx5tkaUMhZ8I6oOImXY+QtUglIMyHKBTIIYQ+DEEREREREXuBY0gO8s+EUbqQ+koxVKxOAhYMao2F0WPFPjIgcLscQBEGSCcHlGPYxCEFERERE5EH5FZ/s3zQKM3s9jSA//q87kacEqUWFKfMsx0jXpSPHmGM1ziCEffybjIiIiIjIQ5LuZ2HChlM4nZwqGQvWKPFJn/ro1bBS8U+MiKxIMiHyLMe4nXVbsn+kf6Tb5+SrGIQgIiIiIipmgiBg4/FkfLQ9Adk6o2T8meoR+GJgI1QO8/fA7IhILFhlvzCleClGhCYCKoWqWObli+SenkBRZWdnY+7cuWjevDkiIiIQGBiIOnXqYOLEibh69arLrpORkYH58+fjueeeQ2RkJNRqNUJCQlC/fn2MGzcOZ8+eddm1iIiIiKjkepClw9g1J/De5nhJAEIpl2FK1yexbnRLBiCIvIh4OUbemhCsB1EwPp0JkZiYiG7duuHSpUtW2y9cuIALFy5g2bJlWLt2LXr06FGk65w8eRK9e/dGcnKy1Xa9Xo+zZ8/i7Nmz+O677/DJJ5/gvffeK9K1iIiIiKjk2nfxHiZtOo17GTmSsRplA7FwUGPUjwr1wMyIyBFJi069/UwIBiEc89lMiIyMDHTv3t0SgBg9ejR2796NQ4cO4ZNPPkFQUBDS09MxcOBAnDp1qtDXSU1Nxb/+9S9LAOLZZ5/F+vXrcfToUezcuRMTJkyASqWC0WjE+++/jx9//NEVL4+IiIiIShCt3ogZW88iZsUxmwGIwc9UwY7xbRmAIPJS4uUYjwyPoDfpAdhozxnA9pyO+GwmxLx583Dx4kUAwNy5czF58mTLWKtWrdChQwe0b98e2dnZmDBhAvbu3Vuo6yxbtgx37uT+Ug0YMAAbN260Gu/WrRuee+459O7dGwDw8ccfY9CgQYW6FhERERGVPGdvpGHChlNIvJspGYsIVOPTvvXR+ekKHpgZETlLvBwDALJ0WQjThEmCEOUDmQnhiE9mQuj1enz55ZcAgLp162LixImSfVq3bo1Ro0YBAPbt24fY2NhCXevQoUOWx9OnT7e5T69evdC4cWMAwN9//42MjAyb+xERERFR6WE0CVi8NxF9Fh+0GYDo8GQkfpvQjgEIIh8QpJIGIcx1IcTLMZgJ4ZhPBiH27NmDtLQ0AEBMTAzkctsvY8SIEZbHW7ZsKdS1dDqd5XGNGjXs7vfEE0/YPIaI6P+1d+fxUVUH/8e/k2UyWQnZIJBAgBACiLgAooAsohZwQ3ysWCvuWrXl8fGnYu0jWh5F3KvVWuuCWve1KqIIBmTfZZEtAQIJJJAQsk6Syczc3x8hIzGTlckkk3zer6a5k3PuvWfwvDIz35wFAND5ZBVYNf3VNXry292qchi1yiyBfppz+WC9ecNwxYVb2qiFAJojOCBYAabaEwlqtulkOkbz+GQIsWLFCtfx2LFj6603bNgwhYSESJJWrlzZonsNGDDAdbxv37566+3du1eSFB0drejo6BbdCwAAAL6tZuvNSX9brnWZBXXKh/Tsoq//OEa/PzdJJpOpDVoIoCVMJlOdKRmltlJV2CtUVFlU6+csTNkwnwwhduzY4TpOTU2tt15AQICSk5MlSTt37mzRvW655Rb5+/tLkh577DG3dRYsWKDNmzdLku64444W3QcAAAC+Lb+0Ure9s1H3f7JVpZX2WmV+Junu8cn69A/nKTmu7rBuAO3fr6dklFSVKM+aV6ceIUTDfHJhyuzsbElSaGioIiMjG6ybmJiorVu3Ki8vT5WVlQoKCmrWvQYOHKiXXnpJd911lz788EMdPXpUt99+u/r27av8/HwtXrxYf//73yVJF198sR588MEWP5/65OTkNPuaAAAA8J5FP+fqwc+26VhZ3Wm5iVHBeu7qMzQsKaoNWgbAU369TWeJrUS51txaPwsJCHG7iCV+4ZMhRM3Cj2Fhjf/HDQ0NdR2XlpY2O4SQpNtvv11nnXWWnnjiCX322WdKS0urVd6vXz/9+c9/1vXXX6+AgOb/kyYmJjb7HAAAALS9kooqzfl6hz7a4P6PSlcPS9D/XjJI4ZZAL7cMgKf9OoQotZWyKGUL+GQIUVFRIUkym82N1j05dCgvL2/R/YqLi/XGG29o8eLFbsv37dund955RwMGDNCoUaNadA8AAAD4lrX7junej7co+3jd95jRoWbNZetNoENxNx2jyllV62dsz9m4Vl0TwmQynfLX/Pnz61zXYqleRbgpu1BUVla6joODg5v9HHJzc3XeeefplVdekd1u19y5c7V3717ZbDYdO3ZMn3/+uQYPHqylS5dqwoQJ+vDDD5t9j6ysrAa/1q1b1+xrAgAAoHVUVDn02IIduuZfa9wGEBcO6qbv7jmfAALoYH49zaLEVlJnJATrQTTOJ0dChIdXD4MpLa273/KvlZWVuY6bMn3j1/74xz/q559/lslk0oIFCzRu3DhXWVRUlK644gpNnDhRI0aM0M6dO3XTTTdp3Lhx6tat6Z0vISGh2e0CAACA923NLtT/fLRFGUfrvg8NNftr9mWD9V9nJ7DzBdABuZuOUVpV+3cB0zEa16ohREt3pDhZfHx8nZ8lJCRo7dq1KisrU2FhYYOLU2ZlZUmSYmNjm70exPHjx/XZZ59JkiZOnFgrgDhZWFiYHnroIV133XWyWq364IMPNHPmzGbdCwAAAO1XlcOpF3/I0EtpGXI4jTrlI5Ki9MzVQ5UYFdIGrQPgDXVCiKpSHbEeqfUzQojGtWoI0dD2madi0KBB+vTTTyVJu3bt0siRI93Ws9vt2rt3r6TqXS6aa/fu3XI6nZKks846q8G6Z599tut4165dzb4XAAAA2qc9R0r0Px/9pO2HiuuUmf39dO9FKbplTF/5+zH6AejI6qwJwXSMFvHJ6RijR492HS9btqzeEGLDhg2u6RgtWTDy5J0u7HZ7AzWlqqpfFiRpyQ4ZAAAAaF8cTkOvr9inpxftkc3urFN+Ws8IPXv1GUrpFu7mbAAdza9HQhRVFinPmlfrZ4QQjWvVhSlby7hx49SlSxdJ0ltvvSXDqDskTlKtRS2nTp3a7PskJSW55vMtX768wbrLli1zHffp06fZ9wIAAED7kZlfpmteXa3Hv9lVJ4Dw9zNp5gX99fmdowgggE7k1yMhDpYclMNw1PoZ0zEa55MhhNls1p/+9CdJ1etOPP3003XqrF69Wq+//rokaezYsRo+fLjba9XswpGUlFSnLCYmxjXKYt26dXrrrbfcXuPAgQN67LHHXNebMmVKs58TAAAA2p7TaWj+yv36zd9+1PrM43XKk+PC9Pmd5+meC1MU6O+Tb6UBtNCvR0KUVZXVehxgClCUJcqbTfJJPjtv4L777tOHH36oPXv26P7771dGRoauueYaBQcHKy0tTY8//rjsdruCg4P1/PPPt/g+jz/+uCZOnCiHw6Ebb7xRS5Ys0dVXX62EhASVlJRo2bJlev7553Xs2DFJ0k033aQBAwZ46FkCAADAW7IKrLrvky1as6+gTpnJJN0yuo/uvWiALIH+bdA6AG3t1yHEr8WExMjfj98PjfHZECI8PFwLFizQ5MmTlZ6erldffVWvvvpqrToRERF69913dcYZZ7T4PuPGjdPbb7+t2267TWVlZXrnnXf0zjvvuK17zTXX6OWXX27xvQAAAOB9hmHovXUH9fiCnSqzOeqUJ0YF6+mrhuqcvtFt0DoA7cWvp2P8GlMxmsZnQwhJSk5O1ubNm/XSSy/p448/VkZGhmw2mxITEzV58mTNnDlTvXv3PuX7XHvttTr//PP16quvavHixdq9e7eKi4sVFBSkhIQEjRw5UjNmzND48eM98KwAAADgLYcKy/XAJ1u1IiPfbfnvR/bWrEmpCg3y6bfNADwgzNxwCMGilE1jMupb1RHtRnZ2thITEyVJWVlZSkhIaOMWAQAA+DbDMPTRhiz939c7VVJZdxe0npHBevKq0zUqOaYNWgegPap0VGrYv4fVW37dwOv0wIgHvNii1tVan0OJdAEAANCpHCos16xPt2p5uvvRD9NHJOrPkwcq3BLo5ZYBaM+C/INk9jPL5rS5LWc6RtMQQgAAAKBTMAxDH6zP0mMLdqrUzeiH7hEWzbvqdI1NiW2D1gHwBWHmMBVU1F28ViKEaCpCCAAAAHR42cetevCzbfWOfrjq7AT97yWD1CWY0Q8A6hduDq83hGBNiKYhhAAAAECH1djOF90igjT3yiGakMqHBwCNCw+sf5tOQoimIYQAAABAh5RVYNWsz7ZqZcYxt+X/dXaC/sLoBwDN0NAOGbEhTOVqCkIIAAAAdChOp6G3V2fqye92y+pm9EP3CIvmThui8QOYvw2gecLN7kdCRAZFyhJg8XJrfBMhBAAAADqMfXmleuDTrVqfedxt+W+HJeqhSwYqgp0vALRAWKD7kRAsStl0hBAAAADweXaHU6+t2K9nv98jm91Zpzy+i0VPTGPnCwCnpr6REIQQTUcIAQAAAJ+2K7dY9328VdsOFbktnz6ilx6cnMroBwCnrL41IViUsukIIQAAAOCTbHanXkrL0MtLM1TlMOqU94oK0RPThui8fjFt0DoAHVF9u2MQQjQdIQQAAAB8zqaDxzXr063ac6S0TpnJJN14Xh/9v4tTFGLm7S4Az6lvJATTMZqO38oAAADwGWWVdj313W69tTpTRt3BD+oXG6onrxqqs3t39X7jAHR4rAlx6gghAAAA4BOW7cnTnz/bpkOF5XXK/P1MumNsX/1xQn9ZAv3boHUAOoN6p2OEMh2jqQghAAAA0K4dL7Npztc79NnmQ27LB/eI0Lxpp+u0nl283DIAnQ0LU546QggAAAC0S4Zh6KutOXr0y591rMxWpzwowE//PTFFt4zpo0B/vzZoIYDOxt1IiCD/IEWYI9qgNb6JEAIAAADtTvZxq/73i+1K253ntvycPlF6Ytrp6hMT6uWWAejM3K0J0S2km0wmUxu0xjcRQgAAAKDdcDgNzV+VqWcW7ZbV5qhTHh4UoD9PGajfDkuUnx9v+gF4V6i5bvDJopTNQwgBAACAdmHH4WI9+NlWbckuclt+0aBumnPFaeoWYfFyywCgWqBfoIIDglVu/2WBXEKI5iGEAAAAQJuqqHLob0vS9eqP++Rw1t13MzY8SI9eNliTTuvOkGcAbS48MLxWCMGilM1DCAEAAIA2szIjX3/+fJsOHLO6LZ8+opdmTUpVl+BAL7cMANwLM4fpaPlR12O252weQggAAAB43bHSSj22YGe92272iw3V3CtP14g+UV5uGQA0bEDXAdpXtM/1eHD04DZsje8hhAAAAIDXOJ2GPt6YpbkLd6nQWlWnPNDfpDvHJevO8f0UFODfBi0EgIbdccYdSi9MV2ZRpq5JvUZDY4e2dZN8CiEEAAAAvCL9SIke+ny71mUWuC0f1rur5l45RP271d0CDwDai75d+urzyz9v62b4LEIIAAAAtKqKKodeSsvQK8v2qspRd+HJcEuAHvhNqq4d0YttNwGggyOEAAAAQKtZkZ6vv3yxTZn1LDx56dAe+t9LBiounG03AaAzIIQAAACAxx0tqdD/fb1TX2457LY8MSpYcy4/TeMGxHm5ZQCAtkQIAQAAAI9xOA29u/aAnvp2t0oq7XXKA/xMuvX8vvrThP4KNrPwJAB0NoQQAAAA8Iht2UV66Itt2ppd5Lb8rF6RevzKIUrtHuHllgEA2gtCCAAAAJyS4ooqPfPdbr2z5oCcddedVIQlQLMmDdQ1wxNZeBIAOjlCCAAAALSIYRj6csthPbZgp46WVLqtc+VZPfXnyQMVExbk5dYBANojQggAAAA0W8bREv3vFz9r9b5jbsv7xYZqzhWn6bx+MV5uGQCgPSOEAAAAQJNZbXa9sCRDry3fJ7ubuRdBAX760wX9deuYvjIH+LVBCwEA7RkhBAAAABplGIa++zlXf/1qhw4XVbitM25ArP562WnqFR3i5dYBAHwFIQQAAAAalJlfptlf/qxle/LclvfoYtHDlw7WxYO7yWRi4UkAQP0IIQAAAOBWuc2hl5dm6J/L9snmcNYpD/Az6ZYxffWnC5IVYuZtJQCgcbxaAAAAoJaaqRdzvt6pQ4Xlbuuc2zdac64YrOS4cC+3DgDgywghAAAA4LI3r1SPfPmzlqfnuy2PCw/SQ1MG6rKhPZh6AQBoNkIIAAAAqKzSrhd/yNDrK/apylF31wt/P5NmnJukey7sr3BLYBu0EADQERBCAAAAdGKGYejrrTl6/Judyqln14tz+kTpr5efpgHdmXoBADg1hBAAAACd1I7DxXrkq5+1bn+B2/JuEUF6aMogXXp6PFMvAAAeQQgBAADQyRwvs+nZ7/fo3bUH5Kw780IBfibdPKaP/jihv8KCeLsIAPAcXlUAAAA6CYfT0HvrDuqZRbtVaK1yW2d0coweuWywkuPCvNw6AEBnQAgBAADQCazdd0yPfLVDO3OK3Zb3jAzWX6YM1G9O687UCwBAqyGEAAAA6MAOFZZr7jc79fXWHLflQQF+unNcsm4f21eWQH8vtw4A0NkQQgAAAHRAVptdryzdq3/+uE+VdqfbOlOGxOvByalK6Bri5dYBADorQggAAIAOxDAM/eenw3pi4S7lFrvfcnNAt3DNvmyQzusX4+XWAQA6O0IIAACADmJLVqEe/epnbTpY6LY8whKg/7kwRdeN7K0Afz/vNg4AABFCAAAA+LwjxRV68tvd+nRTtttyP5N03cjeumdiirqGmr3cOgAAfkEIAQAA4KPKbQ69+uM+vbJsr8qrHG7rjEqO1sOXDNaA7uFebh0AAHURQgAAAPgYp9PQf7Yc0pPf7lZOkft1H3pHh+ihyQN14aBubLkJAGg3CCEAAAB8yMYDBfrrVzu0JbvIbXlYUID+OCFZN4xKUlAAW24CANoXQggAAAAfkFVg1RPf7tKCrTluy/1M0m+HJ+qeC1MUF27xcusAAGgaQggAAIB2rKi8Si8vzdCbKzNlszvd1hmVHK2/TBmkgfERXm4dAADNQwgBAADQDlU5nHp3zQH9bUm6jlur3NbpGxOqP08eqAsGxrHuAwDAJxBCAAAAtCOGYWjRjiN6YuEu7c8vc1unS3Cg/ntif103srcC/f283EIAAFqOEAIAAKCd2JJVqMcW7NS6zAK35QF+Jl03srf+e2J/RYaYvdw6AABOHSEEAABAG8sqsOqp73bryy2H663zm8Hd9cCkVPWJCfViywAA8CxCCAAAgDZyvMymF3/I0DtrMlXlMNzWGZoYqb9MGajhSVFebh0AAJ5HCAEAAOBlFVUOvbkyUy8vzVBJhd1tnZ6RwXpgUqouPT2eRScBAB0GIQQAAICXOJyGPtuUrWe/36Ocogq3dcItAbp7fLJmnJckS6C/l1sIAEDrIoQAAABoZYZhaOnuPM37dpd25Za4rWP299Pvz+2tu8cnq2soi04CADomQggAAIBWtOngcT2xcJfW7Xe/44UkXX5GD/2/iwYoMSrEiy0DAMD7CCEAAABaQcbRUj313S599/OReuuc1y9aD04aqCEJXbzYMgAA2g4hBAAAgAflFJXr+e/T9fHGLDndb3ih1O7hmjUpVWNTYll0EgDQqRBCAAAAeECh1aZ/LNur+SszVWl3uq3TMzJY91yYoqln9pS/H+EDAKDzIYQAAAA4BWWVdr2xYr9e/XGfSirdb7fZNSRQd41P1nUje7PjBQCgUyOEAAAAaIGKKofeW3tQL6Vl6FiZzW2d4EB/3TKmj249v68iLIFebiEAAO2PX1s34FRZrVY9+eSTGj58uKKiohQaGqrU1FTde++9OnDggMfuU1xcrHnz5mnUqFGKiopSUFCQEhMTddVVV2nhwoUeuw8AAGjf7A6nPlqfpQlPL9Vfv97hNoAI8DPp9yN7a9n943TvRQMIIAAAOMFkGEY9Sya1fxkZGZo8ebLS09PdlkdEROjdd9/VJZdcckr3Wb16taZNm6acnJx661x//fV644035O/v+SGW2dnZSkxMlCRlZWUpISHB4/cAAAANczoNLdyeq2e+3619eWVu65hM0mVDe+ieiSlKign1cgsBAPCc1voc6rPTMUpKSjRlyhRXAHHrrbfqmmuuUXBwsNLS0jR37lwVFxfrt7/9rVauXKkzzjijRffZvXu3Jk2apKKiIvn5+emWW27RVVddpejoaO3fv1//+Mc/tGTJEr399tsKCwvTSy+95MFnCQAA2pphGFqy86ie+X6PduYU11vvgtQ4/b+LB2hgfIQXWwcAgG/x2ZEQDz/8sObMmSNJevLJJ3XffffVKl+1apXGjh0ru92usWPHaunSpS26zyWXXKIFCxZIkt58803dcMMNtcoNw9BNN92k+fPny2Qyae3atRo+fHiL7lUfRkIAAOB9hmFoeXq+nvl+j7ZkFdZb75w+Ubr/NwN0du8o7zUOAIBW1lqfQ30yhKiqqlJsbKyKioo0cOBAbd++XX5+dZe3uOOOO/TPf/5TkrRu3bpmhwN5eXnq1q2bDMPQqFGjtGLFCrf1CgsLlZCQoLKyMk2bNk2ffPJJ859UAwghAADwrrX7jumZRXu0LrOg3jpDenbRfRcP0Jj+MTKZ2G4TANCxtNbnUJ9cmDItLU1FRUWSpBkzZrgNICTVGrXw+eefN/s+GzduVE1GM2nSpHrrRUZGauTIkZKkhQsXymq1NvteAACg7W06eFy/f32tfvvqmnoDiP5xYfrH787Sl3eP0vkpsQQQAAA0g0+uCXHyiISxY8fWW2/YsGEKCQmR1WrVypUrm32fY8eOuY67devWYN2acqvVqg0bNuj8889v9v0AAEDb+CmrUM99v0fL9uTVWycpOkT/PTFFlw7tIX8/ggcAAFrCJ0OIHTt2uI5TU1PrrRcQEKDk5GRt3bpVO3fubPZ9wsLCXMc1Iy/qc3L5jh07CCEAAPABW7ML9fzidP2w62i9dXpGBmvmBf115Vk9FeDvk4NIAQBoN3wyhMjOzpYkhYaGKjIyssG6iYmJ2rp1q/Ly8lRZWamgoKAm32fgwIGu42XLlunee+91W89ms2nt2rWuxwcPHmzyPaRfnk99GtoaFAAANN/2Q0V6fvEeLd5Zf/gQFx6kP05I1tXDExUU4PktuAEA6Ix8MoQoKSmRVHukQn1CQ3/Zo7u0tLRZIURKSooGDBig3bt3a8GCBVqxYoVGjx5dp94zzzyj/Pz8Ou1rqprFPgAAQOvafqhILyxJ16IdR+qtExNm1h1j++m6kb1lCSR8AADAk3wyhKioqJAkmc3mRuueHDqUl5c3+17/93//p//6r/+S0+nUlClT9Pjjj2vatGmKjo5WZmamXn75Zf3tb3+T2WyWzWZr8X0AAEDr2ZZdpL8tSdfinfWHD9GhZt0+tq+uG9lbIWaffIsEAEC716qvsJ5YLfrNN9+stcuFJFksFklyfehvSGVlpes4ODi42fe/6qqr9Oijj2r27NkqLi7W3XffrbvvvrtWnaioKM2aNUv333+/JCk8PLxZ98jKymqwPCcnRyNGjGhewwEAgH7KKtQLSxpe86FrSKBuH9tPvx/ZW6FBhA8AALQmn3ylrfmQX1pa2mjdsrIy13FTpm+48/DDD2v06NF64okn9OOPP7qCjeDgYE2bNk1PPPFErR07unbt2qzre2q/VQAAUG3jgeN6YUl6g7tdRIYE6rbz+2rGuUmEDwAAeEmrvuK2ZEeKX4uPj6/zs4SEBK1du1ZlZWUqLCxscHHKmlEGsbGxzVoP4tcmTJigCRMmqLKyUjk5OTIMQz179nRNCUlPT3fVHTx4cIvvAwAAWm7tvmP6e1qGlqfn11una0igbhnTV9ef21vhlkAvtg4AALRqCNHQ9pmnYtCgQfr0008lSbt27dLIkSPd1rPb7dq7d6+k2jtdnIqgoCAlJSXV+fnGjRtdx0ydAADAewzD0PL0fP39hwytyyyot15UqFm3nV+95kMYIx8AAGgTPvkKfPIOFcuWLas3hNiwYYNrOsaoUaNarT0lJSX67rvvJEnnnnsuu10AAOAFhmFo8c6j+vsP6dqSXVRvvZgws24/v59+N7IXC04CANDGfPKVeNy4cerSpYuKior01ltv6f7773e7COb8+fNdx1OnTm219sydO9e1I8Zdd93VavcBAACSw2lo4fYc/f2HDO3KrX9b7NjwIN0xtp+uHdFLwWa22gQAoD3wa+sGtITZbNaf/vQnSdXrTjz99NN16qxevVqvv/66JGns2LEaPny422uZTCaZTCa3UywkqaqqSvn59c8rfffddzVv3jzXfa699trmPBUAANBENrtTH23I0oXPLtPd722uN4Do0cWiRy8brOX3j9fNo/sQQAAA0I745EgISbrvvvv04Ycfas+ePbr//vuVkZGha665RsHBwUpLS9Pjjz8uu92u4OBgPf/88y2+T1FRkXr16qWpU6fq4osv1oABA+Tn56e9e/fq/fff15dffilJSkpK0jvvvOORbUkBAMAvrDa7PliXpX8t36ecoop66/WODtGd4/pp6pkJMgf45N9ZAADo8EyGYRht3YiWysjI0OTJk2vtTHGyiIgIvfvuu7rkkkvqvUZNaNC7d29lZmbWKc/Pz1dsbGyD7Rg1apTeffdd9e7du+mNb4bs7GzXOhNZWVls6QkA6BSKrFV6a3Wm3ly5X8etVfXWS44L093jk3XJ6fEK8Cd8AADAE1rrc6jPjoSQpOTkZG3evFkvvfSSPv74Y2VkZMhmsykxMVGTJ0/WzJkzTzkYiIyM1GuvvaYlS5Zo06ZNys3NVUVFhbp166bhw4frmmuu0bRp0xgBAQCAhxwtrtDrK/br32sOqMzmqLfeoPgI/XFCsi4e3F1+frwOAwDgC3x6JERnwUgIAEBnsDevVP/6cZ8+23RINoez3nojkqL0h/H9NC4llj8CAADQShgJAQAAOqRNB4/rn8v2atGOI2roTyPjB8TqzvHJGp4U5b3GAQAAjyKEAAAAXud0Glq656heWbpP6zIL6q3nZ5KmnN5DfxjbT4N6RHixhQAAoDUQQgAAAK+ptDv05U+H9dry/dp9xP0Wm5JkDvDTtLMSdPv5fZUUE+rFFgIAgNZECAEAAFpdkbVK7647oPkrM3W0pLLeeuGWAP1+ZG/dMCpJceEWL7YQAAB4AyEEAABoNVkFVr2xcr8+XJ8lawM7XXSPsOjm0X10zYhEhVsCvdhCAADgTYQQAADA47ZkFerV5fu0cFuOnA0sNtk/Lky3nd9Xl5/RU+YAP+81EAAAtAlCCAAA4BEOp6FFP+fq9RX7teHA8QbrntMnSreO6asJqXHy82ObTQAAOgtCCAAAcEpKKqr04foszV+Vqezj5fXW8/czafKQeN06po9OT4j0XgMBAEC7QQgBAABaJKvAqjdXZuqjDVkqrbTXWy/U7K9rRvTSjaOSlNA1xIstBAAA7Q0hBAAAaDLDMLR2f4Hmr8zUoh25Da730D3CohtGJWn6iF7qEsxikwAAgBACAAA0QUWVQ//56ZDeXJmpXbklDdYdmtBFN43uo8lD4hXoz2KTAADgF4QQAACgXocLy/XvNQf0/rqDOm6tqreen0m6eHB33Ty6j87u3VUmE4tNAgCAugghAABALYZhaH3mcb21KlPf/pwrRwNzLsKCAnT1sETdOCpJiVGs9wAAABpGCAEAACRJVptdX2w+rLdXNz7lIik6RDPOS9JVZyco3MJ6DwAAoGkIIQAA6OQy88v0zpoD+mhDlkoq6t/lQpLG9I/RjaOSNC4lTn5+TLkAAADNQwgBAEAn5HAaWrbnqN5adUDL9uQ1WDc40F/Tzu6pG85LUnJcuJdaCAAAOiJCCAAAOpH80kp9uD5L7687qOzj5Q3W7RUVot+P7K2rhyeyxSYAAPAIQggAADo4wzC0dn+B3l17UN9uz1GVo/6FJk0maVxKrK4/L0lj+8cy5QIAAHgUIQQAAB1UUXmVPtuUrXfXHlTG0dIG63YJDtTVwxJ03cje6h0d6qUWAgCAzoYQAgCADsQwDG3OKtT7aw/qq62HVVHlbLD+oPgIzTivty4b2lPBZn8vtRIAAHRWhBAAAHQAReVV+mLzIb2/7mCj22sGBfjp0qE99LtzeumMxEiZTEy5AAAA3kEIAQCAjzIMQ5sOHtd7a7O0YFvjox76xoTq2nN66aqzExQZYvZSKwEAAH5BCAEAgI8pKLPps03Z+mhDlvYcaXithwA/ky4a3E3XndNb5/aLZtQDAABoU4QQAAD4AIfT0IqMfH20PkuLduQ2uMOFVL295jUjEnXV2QmKC7d4qZUAAAANI4QAAKAdyz5u1ccbsvXxhiwdLqposG7NqIfpI3ppVL8YttcEAADtDiEEAADtTLnNoe9+ztUnG7O1cm++jIYHPahXVIimj6he6yE2PMg7jQQAAGgBQggAANqB6kUmC/XJxix9vSVHJZX2BuubA/w06bTu+u2wRI3sG82oBwAA4BMIIQAAaEO5RRX6bHO2PtmYrX15ZY3WH9wjQr8dnqjLh/ZUl5BAL7QQAADAcwghAADwMqvNru9+ztVnmw5pZUa+nI1Mtwi3BOiKM3rqt8MTdVrPLt5pJAAAQCsghAAAwAscTkNr9h3TZ5sOaeH2HFltjgbrm0zS6OQYXXV2gi4e3F2WQH8vtRQAAKD1EEIAANCK0o+U6LPNh/TF5kPKaWR3C0nqExOqq85O0JVn9VR8l2AvtBAAAMB7CCEAAPCw3KIKfbnlkL7YfFg7coobrR8WFKBLTo/XVWcn6OzeXWUyscgkAADomAghAADwgKLyKi3clqMvfjqktfsLGt1W088kjekfqyvP6qmLBnVXsJnpFgAAoOMjhAAAoIUqqhz6YddR/eenQ0rblSebw9noOYPiI3TlWT112dAeiouweKGVAAAA7QchBAAAzWCzO7U8PU9fbTms73ccUVkjC0xKUlx4kK44s6emntlTA+MjvNBKAACA9okQAgCARtgdTq3ZV6Cvtx7Wwu25KiqvavSc8KAATRrSXZef0VMj+0bL3491HgAAAAghAABww+E0tG5/gb7ZlqOF23OUX2pr9Byzv5/Gp8bqijN6anxqHNtqAgAA/AohBAAAJ9QEDwu2Hda3248ov7Sy0XP8TNK5/aJ12dAe+s1p8eoSHOiFlgIAAPgmQggAQKdmdzi1LrN6xENTgwdJGta7qy4d2kOThnRXXDgLTAIAADQFIQQAoNOx2Z1auTdf323P1aIdR1RQ1vhUC0ka0rOLLh0arymn91DPyOBWbiUAAEDHQwgBAOgUym0OLdtzVN9uz9WSnUdVUmlv0nkD4yN0yenxmjwkXn1iQlu5lQAAAB0bIQQAoMM6XmbTD7uO6vsdR7R0z1FVVDmbdN6g+AhNIXgAAADwOEIIAECHklVg1fc7jmjRjlytzzwuh9No0nkEDwAAAK2PEAIA4NMMw9DPh4u1aMcRfb/jiHbmFDf53LN6RWrSafG6eHB39YoOacVWAgAAQCKEAAD4oIoqh1Zm5GvJrqP6YedR5RZXNOk8fz+TRvaN0m8Gd9dFg7urWwS7WgAAAHgTIQQAwCccLa7Qkl1HtWTnEa3IyG/y+g6WQD+N6R+rCwd108SB3RQVam7llgIAAKA+hBAAgHbJ4TT0U1ahlu4+qrTdR7X9UNOnWXQNCdQFA7vpokHdNKZ/rILN/q3YUgAAADQVIQQAoN04VlqpH9PztHR3npbtyVOhtarJ5/aKCtGFg6qDh7N7d1WAv18rthQAAAAtQQgBAGgzdodTW7ILtWxPvn7ck6ct2YUymraZhfxM0rDeUbpgYJwuGBinfrFhMplMrdtgAAAAnBJCCACAV2Uft2p5enXosDIjX8UV9iafG24J0NiUWF0wME7jUuLUlfUdAAAAfAohBACgVZVW2rV237Hq4CE9T/vyypp1/oBu4RqXGqtxKXEaltRVgUyzAAAA8FmEEAAAj6pyOPVTVqFWpOdrZUa+fsoqlN3ZxDkWkkLM/jqvX4zGp8Zq3IA49YwMbsXWAgAAwJsIIQAAp8TpNLQrt0Sr9uZr1d5jWrvvmMpsjmZdY0C3cJ2fEqPzU2I1ok+UggLYzQIAAKAjIoQAADSLYRhKP1qq1XuPafXeY1q7/5iON2MXC6l6C83R/WN1fv/q4KFbhKWVWgsAAID2hBACANAgwzCUcbRUa/YXaO2+Y1qz75jyS23Nukagv0ln9+6qUf2qQ4fTenaRvx87WQAAAHQ2hBAAgFocTkM7c4q1bn+B1u4/pvWZx1VQ1rzQQZIGxkdodHK0RveP1fCkrgox85IDAADQ2fGOEAA6uYoqh7ZmF2l9ZoE2Hjiu9ZkFKmnGtpk1ekWF6Ny+0RrVP0bn9YtWTFhQK7QWAAAAvowQAgA6mWOlldpw4LgrcNh+qEhVjqbvXlGjZ2SwRvaN1rn9qr/YxQIAAACNIYQAgA7M7nBq95ESbT5YqE0Hj2vzwULtzy9r0bV6dLHonL7ROqdPlM7rF6PEqGCZTKzrAAAAgKYjhACADiSvpFI/ZdUEDse1NbtI1mZul1mjT0yoRiRF6Zy+URrRJ0oJXUM83FoAAAB0NoQQAOCjSivt2pZdpC3ZhdqaXagtWUU6VFjeomv5maoXkhzWu6uGJUXpnD5RimPbTAAAAHgYIQQA+IBym0M7c4u1/VCRtmYXaUtWoTLySmU0fykHSVKI2V9n9orU2b2jNDypq85IjFS4JdCzjQYAAAB+hRACANoZq82uHYeLte1QkbYfqg4eMvJK5XC2MHFQ9c4VZ/WK1Jm9uuqsXl01MD5cAf5+Hmw1AAAA0DhCCABoI4ZhKK+kUj/nFGvH4WLtzCnWjpxi7c8va/EIB6l6lMPpCV10Vq+uOrNXV53ZK5LtMgEAANAuEEIAgBdUVDmUcbRUu3NLtPtIiXbmVIcO+aW2U7pugJ9JqfHhGpoQqaGJkRqaEKnkuDD5+7FrBQAAANofQggA8CCH09DBAqt255Zoz5ES7c4t0a7cYmUes57SdAqpevHIfrFhGtKzi05P6KLTEyM1KD5ClkB/D7UeAAAAaF2EEADQAlUOpw4csyrjaInSj5Qq/Wj11968UtnszlO+vr+fSf3jwnRazy46rUeEhiR00cD4CIWY+bUNAAAA38W7WQBoQEGZTfvySrUvr0x786u/78sr1cECq6ocpzayoUao2V+p8REaFB+hQT2qvw/oHs4IBwAAAHQ4PhtClJaWatOmTVq3bp3WrVun9evXKzMzU5LUu3dv17EnrVq1Si+//LKWL1+uI0eOKDIyUkOHDtUNN9yg6dOne/x+ALyjyFqlzGNlyjxWpgPHrK7v+/JKddxa5dF7JUYFa0C3CKV2D3cFDr2iQuTHGg4AAADoBHw2hLj00ku1dOlSr93vkUce0Zw5c+R0/jLM+siRI1q0aJEWLVqkd999V5988oksFovX2gSgaewOp3KKKpRVYNXBAquyjluVVVCuAwVWHThWpkIPBw2SFBVqVkq3MKV2rx7VMKB7uFK6hSssyGd/7QIAAACnzGffDRsn7V8XFRWlYcOGadWqVSotLfX4vf75z3/q0UcflST169dPf/7znzVkyBAdPnxYf/vb35SWlqYFCxbopptu0nvvvefx+/uKjQcKdKiwQj26WNS9i0XdIiwK9Pdr62ahE6iocii3qEKHCst1qLBch098ZR8v18ECq3KKKk55Ucj6xIUHqX+3MPWPC1dyXJiS48LUPy5M0WyJCQAAANRhMoxT2Y2+7bz66qsKDw/X8OHDlZycLElKSkrSgQMHPDodo6CgQH379lVRUZF69eqljRs3KiYmxlXucDg0depUffXVV5KktLQ0jRs3ziP3rpGdna3ExERJUlZWlhISEjx6fU+Z9elWfbA+y/XYzyTFhgcpvkuwekRaFN8lWPFdqr93iwhSXLhFcRFBzHtHg6w2u3KLKpRbXKEjxRXKKarQkROPq4OHCuWXVrZqGwL9TeodHaq+MaHqGxumvrGh6hcbquTYcHUJCWzVewMAAABtobU+h/rsSIjbbrvNK/d57bXXVFRUJEmaN29erQBCkvz9/fXyyy/rm2++kcPh0FNPPeXxEMJXHC6qqPXYaUhHiit1pLhSP2XVc5KkLsGBtUKJ2PAgxYYFKabmK9ysmLAgRYWYmTffQdgdThVYbSoosym/xKajJRXKK6nU0ZLKE99/eVxSYfdKm/z9TEroGqze0aFKig5R7+hQ9YkJUd+YMCV0DVYAo3oAAACAU+azIYS3fPHFF5KkiIgIXXnllW7rJCQkaOLEifruu++0ZMkSlZSUKDw83IutbB9yCstbdF5ReZWKyqu050jDU2n8TFJUaJBiwszqGmJWVKhZkSGBigr95XHXULO6BAe6viIsAXx4bGV2h1OF5VUqtFapqNym42VVJx7bVGitqg4bSk8EDmWVKiiztcoaDE0RavZXYlRI9VfXECVGBSspJlRJ0aHqGRkscwB9BQAAAGhNhBANsNlsWrdunSTp3HPPldlsrrfu2LFj9d1336myslIbNmzQ+PHjvdXMdiMpJlR2p6HDheWqtDsbP6GZnIaUX1rZ7KH3YUEB1YFEcKC6BAcoLChQ4ZYAhQUFKOzE95rHIeYAhZj9FWL2V7DZv9bjEHOA/DvASAzDMGRzOFVR5VRFlUMVVQ6VVTpUZrOrrNJe69hqc6i00q6SiioVl5/4XlH7cZnN0dZPySXcEqCekcHqERns+p4YFXwicAhR15BAmUy+/98QAAAA8FWEEA3Ys2ePHI7qD1ipqakN1j25fOfOnZ0yhPjX9cMkVX/ILbRW6XBRuXIKK5RTVK6couq5/IcLy3WkuEJHiitVXuWdD6+llXaVVtp1qIUjNU4W6G9SUIC/ggL8qr8C/X/57u+nwACTAvz8FOhvUqC/nwL8/RToV33s72+Sn0nyN5lkMpnkZ6p+7OdnkskkmWSSIUMn/iep+t/SOPHY4TTkNAzZnYYcDkMOw5DDeeKx0ymbvTpcqLI7ZXM4ZbM7VXXie6W9OnAoPxE6tNIaja0qPChA3U9a9LR7hEXduljUM9KinpEhio+0KMLC+gwAAABAe0YI0YDs7GzXcWOLcNQs2CFVL9rR0vu4k5OT06zrtTWTyaSuJ6ZGDO7RxW0dwzBUWmnXkeJKHS2u0JGSihPrR1Qov9Sm/JJK16iH4200dN+dKoehKoddrbwOYqfSNSTwl/VAwk6sCRL+y9og3bpUBw6hbG0JAAAA+Dze1TegpKTEdRwWFtZg3dDQUNdxc7cJPTnA6CxMJpPCLYEKtwQqOa7hf9sqh1MFZTblldSEEjYVlFXpeJlNx622E4+r1yIosNpUVF4lWytMB0HjQsz+6hpSvS5H19BARQZXr9sRHWpWdFiQokLNtY67hgSyZgcAAADQiRBCNKCi4pfdHhpaD0KSgoKCXMfl5ac+7B+/CPT3U7eI6iH4TVVR5XAteFlUXqUia/X3koqq6jUOKu0qraieplFaYVdJRfXPrLbqdRDKbQ5ZbXafnLbQEiaTFGYOUEiQv0KDatbH8HetkxFuCVC4JVARwSe+WwIUcdLjyOBAdQkJVFAA260CAAAAqF+rhhCeWADuzTff1A033HDqjWkBi+WXD702m63BupWVv4zPDw4ObtZ9Gpu+kZOToxEjRjTrmp2dJdBflkD/ZgUXv2YYhirtzupAosqhcptdFVVOVdodqqyqXmeh0u5wrbdQaXeqymHI7nDK7jRU5XDK7qj+XuW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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "image/png": { + "height": 351, + "width": 528 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the first test data example\n", + "plot_prediction(0)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a06840b9", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.15" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}