{ "cells": [ { "cell_type": "markdown", "id": "bba16250", "metadata": {}, "source": [ "## ML3 - Machine Learning in Practice; Generalization" ] }, { "cell_type": "markdown", "id": "782cd91b-defb-4a7c-a492-05751b4de84d", "metadata": {}, "source": [ "#### Goals\n", "* Be able to build and train a simple multi-layer perceptron neural network in `pytorch`\n", "* Understand what it means for a model to **generalize**\n", "* Know how and why to prevent **overfitting** by splitting the dataset into training and validation sets\n", "* Know how and why to hold out a test set\n", "* Have a basic understanding of bias and variance as they relate to underfitting and overfitting" ] }, { "cell_type": "code", "execution_count": 1, "id": "8da81eea", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using device: mps\n" ] } ], "source": [ "import torch\n", "import torch.nn as nn\n", "import torch.optim as optim\n", "from torch.utils.data import DataLoader\n", "import torchvision\n", "import torchvision.transforms as transforms\n", "import numpy as np\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "\n", "# Check if GPU is available\n", "if torch.cuda.is_available():\n", " device = torch.device('cuda') # nvidia/cuda\n", "elif torch.mps.is_available():\n", " device = torch.device('mps') # apple\n", "else:\n", " device = torch.device('cpu') # no acceleration\n", "\n", "print(f'Using device: {device}')" ] }, { "cell_type": "markdown", "id": "894db6b9-d59a-4d6c-938e-3db9219b1812", "metadata": {}, "source": [ "### Autograd in pytorch:" ] }, { "cell_type": "markdown", "id": "c79f5b1f-db12-41ba-a341-94a4b95522d1", "metadata": {}, "source": [ "Generate some data:" ] }, { "cell_type": "code", "execution_count": 2, "id": "61a60d6b-3b56-4d09-9a12-7e566ac2a4ee", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set random seed for reproducibility\n", "torch.manual_seed(41)\n", "np.random.seed(41)\n", "\n", "x_np = np.array([1.0, 2.0, 3.0, 4.0, 5.0])\n", "y_true_np = 3.0 * x_np + 2.0\n", "noise = np.random.randn(5) * 1.0\n", "y_np = y_true_np + noise\n", "\n", "# Visualize the data\n", "plt.figure(figsize=(8, 5))\n", "sns.scatterplot(x=x_np, y=y_np)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 9, "id": "7f5083ba-6108-43a5-8454-7f20eca296cb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Data points (x, y):\n", " (1.0, 4.73)\n", " (2.0, 8.10)\n", " (3.0, 11.25)\n", " (4.0, 13.07)\n", " (5.0, 17.57)\n", "None\n", "None\n", "Loss: 138.83682250976562\n", "Gradient w.r.t. w: -77.9301986694336\n", "Gradient w.r.t. b: -21.890644073486328\n" ] } ], "source": [ "print(f\"Data points (x, y):\")\n", "for i in range(5):\n", " print(f\" ({x_np[i]:.1f}, {y_np[i]:.2f})\")\n", "\n", "# Convert to PyTorch tensors\n", "x = torch.from_numpy(x_np).float()\n", "y = torch.from_numpy(y_np).float()\n", "\n", "# Parameters (requires_grad=True enables autograd)\n", "w = torch.tensor(0.0, requires_grad=True)\n", "b = torch.tensor(0.0, requires_grad=True)\n", "\n", "# Forward pass: compute prediction\n", "y_pred = w * x + b\n", "\n", "# Compute loss (MSE)\n", "loss = ((y_pred - y) ** 2).mean()\n", "\n", "print(w.grad)\n", "print(b.grad)\n", "\n", "# Backward pass: compute gradients\n", "loss.backward()\n", "\n", "# print(f\"Prediction: {y_pred.item()}\")\n", "print(f\"Loss: {loss.item()}\")\n", "print(f\"Gradient w.r.t. w: {w.grad.item()}\")\n", "print(f\"Gradient w.r.t. b: {b.grad.item()}\")" ] }, { "cell_type": "markdown", "id": "24ad0cd6-d712-404c-afe0-2f592ca565da", "metadata": {}, "source": [ "Let's check if we agree with pytorch - these are the analytical gradients we computed in ML1:" ] }, { "cell_type": "code", "execution_count": 10, "id": "fd023c56-1228-41bc-aaf1-600c4b5d8a67", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Analytical gradient wrt w: -77.9301986694336\n", "Analytical gradient wrt b: -21.890644073486328\n" ] } ], "source": [ "def grad_wrt_w(yhat, x, y):\n", " return (2/len(y)) * np.sum((yhat - y) * x)\n", " \n", "def grad_wrt_b(yhat, x, y):\n", " return (2/len(y)) * np.sum(yhat - y)\n", "\n", "dw = grad_wrt_w(y_pred.detach().numpy(), x.detach().numpy(), y.detach().numpy())\n", "print(f\"Analytical gradient wrt w: {dw}\")\n", "\n", "db = grad_wrt_b(y_pred.detach().numpy(), x.detach().numpy(), y.detach().numpy())\n", "print(f\"Analytical gradient wrt b: {db}\")" ] }, { "cell_type": "markdown", "id": "070999ec-dfb8-4ba4-9417-77392e0da8b3", "metadata": {}, "source": [ "### Gradient Descent in Pytorch\n", "\n", "Now let's see what a gradient descent loop looks like:\n", "\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "026bb3cf-ab4c-46a7-9191-c644a4b8664f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initial: w=0.0000, b=0.0000\n", "Epoch 1: Loss=138.8368, w=0.7793, b=0.2189\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 2: Loss=81.0656, w=1.3740, b=0.3867\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 3: Loss=47.3990, w=1.8278, b=0.5154\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 4: Loss=27.7794, w=2.1741, b=0.6143\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 5: Loss=16.3458, w=2.4382, b=0.6905\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 6: Loss=9.6824, w=2.6397, b=0.7493\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 7: Loss=5.7990, w=2.7933, b=0.7949\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 8: Loss=3.5356, w=2.9104, b=0.8303\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 9: Loss=2.2163, w=2.9996, b=0.8579\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Epoch 10: Loss=1.4471, w=3.0675, b=0.8797\n" ] }, { "data": { "image/png": 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2/4ytoHzDDTck+pj+/furX79+adpOAEDitm7d6l7HcZoFScWKFaNLACCAr00BHygtXbrUjSqVKFHCFX/o3r27iwAbNGiQ4GP69Onjcpu8IiMjVbx4cdcZuXLlSsPWA0D6duDAARcM2KgJ4vL2SShcm2x0bM+ePSpQoAAjh/QPzx3+rgL+NSc516ZMgbx42dNPP+3ylho3buyOlS9fXqtXr9aAAQMSDZSsLKVt8dmFKNgvRgCQVo4elTJmlDJlkk6elE6dkmKtJ5ksTHtOvE9C4dpkb1qOHTvm/h9MsaR/eO7wdxUsrzlJuTYF7KTxEydOuC1+B2TMmNF1EAAgdQKkffukt96SqleXSpb0fLV9O273AwCQHvh1RMnWSdqwYYNvf+PGjW7EKF++fG663I033qjevXsrW7Zsburd/PnzNWbMGA0cONCfzQaAkGR1cGy1hqeftg+r4t63erX04ovSq69KPXrY6L2/WgkAQDoIlCIiIlSvXj3fvje3qGPHjho9erTGjx/vco7atWvnKtdZsPTKK6+w4CwApDAbKbIgqXfvxM+x4Mnut9kK3bqd/1Q8AACCgV8Dpbp167oSfYkpXLiwPvroozRtEwCkR8eOeUaSkqJPH6lTJwIlAEBoC9gcJQBA2o4mxZ9ulxg77733yFcCAIQ2AiUASOesut3Eicl7jJ3PGrIAgFBGoAQA6ZyVAN+/P3mPsfMzZ06tFgEA4H8ESgCQztk6SXnyJO8xdn5Sp+oFElu4vGnTpm7hcltDY8qUKYme++CDD7pzBg0aFOe4FReyIkO2hkeePHnUuXNnV8UVABBaCJQAIJ2zxWRbtUreY+z8YFzS7vDhw6pQoYKGWlLWWdhi50uXLnUBVXwWJK1Zs0YzZ87UtGnTXPDVtWvXVGw1ACDdVb0DAPiflfnu3t2zTlJSRolsyl2wlgdv1KiR285m+/bt6tGjh2bMmKHGjRvHuW/t2rWaPn26VqxYoSpVqrhjgwcP1m233aYBAwYkGFgBAIITgRIAQFmzehaTPds6Sl6vveY5PxRFR0frnnvucYudly1b9oz7lyxZ4qbbeYMk06BBA2XIkEHLli1TixYtEvy+UVFRbvM6cOCA7+fZFsys/bbUR7D/P1IL/UPf8LwJrL+p5DyOQAkA4EaHevTwLCZr6yQlNLJkI0n9+3tGn8LDQ7PTXn/9dWXKlEk9e/ZM8P6dO3eqYMGCcY7Z+fny5XP3JaZ///7q16/fGcf37NmjY7aIVRCzNx2RkZHujYsFjKB/eO7wdxXIrzkHDx5M8rkESgAAx4Ifm1Jni8naOklWAtyq21nhBstJsvtsJClUg6SVK1fqnXfe0apVq1wRh5TUp08f9erVK86IUrFixVSgQAFXFCI5bJ32DRukNWuk5s0VEG9arL/s/0KgRP/w3OHvKtBfc7ImY0oEgRIAIM7Ikm32nv6JJzyjSDa6ZDMVgjEnKTkWLlyo3bt3q3jx4r5jp06d0uOPP+4q323atEmFCxd258R28uRJVwnP7ktMeHi42+Kzi3xyL/Q33mjV+06Xdc+RQ35nb1rO5/+SXtA/9A3Pm8D5m0rOY3hFAwCcwYIie19v1xP7GupBkrHcpJ9//lmrV6/2bVacwfKVrLCDqVmzpvbv3+9Gn7zmzJnjPuGsXr16mrSzdOnTZd2XLk2THwkA6RIjSgCAdMPWO9pg89b+s3HjRhcQWY6RjSTlz58/zvmZM2d2I0VXX3212y9TpoxuvfVWdenSRcOHD9eJEyf08MMPq02bNmlW8e6GG6QRIzy3bWSpfv00+bEAkO4wogQASDciIiJUqVIltxnLG7Lbzz33XJK/x9ixY1W6dGnVr1/flQWvU6eORngjlzQKlLwsUAIApA5GlAAA6UbdunVdpaSksryk+Gz0ady4cfKXYsWkyy6ztnmm3lnV8VAtsAEA/sSIEgAAQcY7qmSVxSMi/N0aAAhNBEoAAASZ668/fZvpdwCQOgiUAAAIMuQpAUDqI1ACACDIlColFSrkuf3DD55S4QCAlEWgBABAkAkLOz2qdPCg9NNP/m4RAIQeAiUAAIJ8+t3Chf5sCQCEJgIlAACCEHlKAJC6CJQAAAhC5cpJefKcrnyXjOWhAABJQKAEAEAQypDhdJnwvXultWv93SIACC0ESgAABCmm3wFA6iFQAgAgSBEoAUDqIVACACBIVaokZc/uuU2eEgCkLAIlAACCVObMUq1antvbt0sbN/q7RQAQOgiUAAAIYky/A4DUQaAEAEAQI1ACgNRBoAQAQBCrVk3KksVze+FCf7cGAEIHgRIAAEEsWzZPsGQ2bJB27PB3iwAgNBAoAQAQQtPvGFUCgBAIlBYsWKCmTZuqaNGiCgsL05QpU844Z+3atbr99tuVO3du5ciRQ1WrVtWWLVv80l4AAAIReUoAEGKB0uHDh1WhQgUNHTo0wfv//PNP1alTR6VLl9a8efP0888/q2/fvsqaNWuatxUAgEBlJcIzZDi9nhIA4MJlkh81atTIbYl55plndNttt+mNN97wHStZsmQatQ4AgOCQM6dn8dmVK6Vff5X27pXy5/d3qwAguAVsjlJ0dLS++eYbXXXVVWrYsKEKFiyo6tWrJzg9L7aoqCgdOHAgzgYAQHqafrdokT9bAgChIWADpd27d+vQoUN67bXXdOutt+r7779XixYt1LJlS82fPz/Rx/Xv39/lM3m3YsWKpWm7ASCUrN+73t9NQBKRpwQA6WhEyTRr1kyPPfaYKlasqKeeekpNmjTR8OHDE31cnz59FBkZ6du2bt2ahq0GgNBw4tQJ9fyup8q+V1Y/bPnB381BEtSpc/o2eUoAEMKB0sUXX6xMmTLpmmuuiXO8TJkyZ616Fx4erly5csXZAABJt/vwbt38yc0avHywTkSf0B1f3KH9x/bThQHu4oulsmU9t3/8UTp40N8tAoDgFrCBUpYsWVwp8HXr1sU5/scff6hEiRJ+axcAhLKVO1aqyogqmr/ZM8U5S8YseqneS8qTNY+/m4ZkTL87dUpasoQuA4CgrXpnOUgbbBnx/2zcuFGrV69Wvnz5VLx4cfXu3VutW7fWDTfcoHr16mn69On6+uuvXalwAEDKGvPTGHX9uquiTkW5/SIXFdGk1pNU49IadHUQBUrDhp2efnfLLf5uEQAEL78GShERES4A8urVq5f72rFjR40ePdoVb7B8JCvQ0LNnT1199dWaOHGiW1sJAJBy+Ui9Z/bWO8ve8R2rVayWvrzzSxXJWYRuDiLXX3/6NnlKABDEgVLdunUVExNz1nM6derkNgBAyttzeI/u+vIuzdt0eqT+gcoP6N1G77ppdwgul1xi6w3agu3SsmXSsWMSa7QDQIjlKAEAUteqv1epysgqviApc4bMer/J+xreZDhBUgjkKR0/Li1f7u/WAEDwIlACgHTo058/Ve0Pa2tLpKeKaOGLCmvevfPUtXJXfzcNF4jpdwAQAlPvAABp62T0SfX+vrcGLRvkO2bFGibeNVFFcxbl1xECWHgWAFIGgRIApBP/HPlHrb9srTkb5/iOdbmuiwY3GqzwTOF+bRtSzhVXSEWLSjt2SIsXSydOSJkz08MAkFxMvQOAdODHv3906yN5gyTLRxreeLhGNB1BkBRiwsJOjyodPuxZfBYAkHwESgAQ4sb9Ms7lI22O3OzLR5rbca4eqPKAv5uGNJh+t3Ah3QwA54NACQBCOB/p8RmPq92kdjp68qg7Vv2S6oroEqHaxWv7u3lIReQpAcCFI0cJAEI0H6nNl200e+Ns37HOlTpr6G1DmWqXDpQpI+XPL+3d6xlRio6WMvDRKAAkCy+bABBiVu9craojq/qCpEwZMum9297TyKYjCZLSCQuKvGXC9+2T1qzxd4sAIPgQKAFACPnsl89Ua1Qtbdq/ye0XylHI5SM9VPUhhVmWP9INpt8BwIUhUAKAEFof6e5Jd/vykapdUk0RXSNUp3gdfzcPfsDCswBwYQiUACDI7T2yV43GNtKAJQN8x+6reJ/m3ztfl+a61K9tCzQLFixQ06ZNVbRoUTfCNmXKFN99J06c0P/+9z9de+21ypEjhzunQ4cO2mELEsXy77//ql27dsqVK5fy5Mmjzp0769ChQwo0FStKF13kub1ggRQT4+8WAUBwIVACgCD2086fXD7SrL9m+fKRhjQaolG3j1LWTFn93byAc/jwYVWoUEFDhw49474jR45o1apV6tu3r/s6adIkrVu3Trfffnuc8yxIWrNmjWbOnKlp06a54Ktr164KNJkySbX/K264c6e0YYO/WwQAwYWqdwAQpD7/9XN1mtpJR04ccfsFcxTUF3d+oRtKxFpEB3E0atTIbQnJnTu3C35iGzJkiKpVq6YtW7aoePHiWrt2raZPn64VK1aoSpUq7pzBgwfrtttu04ABA9woVKDlKc2YcXpUqVQpf7cIAIIHgRIABJlT0af09Oyn9cbiN3zHqhStokl3TVKx3MX82rZQExkZ6abo2RQ7s2TJEnfbGySZBg0aKEOGDFq2bJlatGiR4PeJiopym9eBAwfc1+joaLelljp1Tk8eWbAgRvfdl/Lz76z9MTExqfr/CGb0D33D8yaw/qaS8zgCJQAIIv8e/VdtJ7bV939+7zt2b8V7NazxMKbapbBjx465nKW2bdu6fCSzc+dOFSxYMM55mTJlUr58+dx9ienfv7/69et3xvE9e/a4n5NaSpSQwsMLKSoqTPPmndLu3f+k+M+wNx0WUNobFwsYQf/w3OHvKjVd6GvOwYMHk3wugRIABIlfdv2i5p8311/7/nL7GcMyatCtg9S9andKf6cwK+xw1113uQvxsGHDLvj79enTR7169YozolSsWDEVKFDAF4Sllho1pPnzpS1bMikqqqCKFUv5Ny026mb/FwIl+ofnDn9Xqe1CX3OyZk16/i6BEgAEgQlrJui+r+7z5SMVyF7A5SPdeNmN/m5ayAZJmzdv1pw5c+IEMoULF9bu3bvjnH/y5ElXCc/uS0x4eLjb4rOLfGoHF5anZIGS+eGHDLr77pT/GfamJS3+L8GK/qFveN4Ezt9Uch7DKxoABHg+0lOznlLrL1v7gqTKRSprZdeVBEmpGCStX79es2bNUv78+ePcX7NmTe3fv18rV670HbNgyj7hrF69ugIRC88CwPlhRAkAAjgf6e6Jd2vGn/+VLZPUoUIHDW88XNkyZ/Nr24KVrXe0IVad7I0bN2r16tUux6hIkSK64447XGlwK/t96tQpX96R3Z8lSxaVKVNGt956q7p06aLhw4e7wOrhhx9WmzZtAq7inVfNmp5S4SdPeirfAQCShhElAAjQfCRbH8kbJFk+0ju3vqPRzUYTJF2AiIgIVapUyW3G8obs9nPPPaft27dr6tSp2rZtmypWrOgCJ++2ePFi3/cYO3asSpcurfr167uy4HXq1NGIESMUqHLkkK67znN77Vop3sxBAEAiGFECgADz5W9f6t4p9+rwicNu/+LsF7t8pLqX1fV304Je3bp1XYGGxJztPi8bXRo3bpyCiU2/W77cc3vRIqllS3+3CAACHyNKABBg6yPd+cWdviDpuiLXuXwkgiRcCPKUACD5GFECgACw7+g+tZvUTt9t+M53rH359hrRZART7ZAiC8+GhdmIGXlKAJBUjCgBgJ+t2b1G1T6o5guS3PpIDQdpTPMxBElIEXnzStde67n9009SZCQdCwDnQqAEAH40ae0kVf+gujb8u8GXjzTznpl6pMYjLCKLVJl+Fx0txapNAQBIBIESAPgpH+nZOc+q1YRWvnykSoUrKaJLhOpdXo/fCVIceUoAkDzkKAFAGtt/bL/LR/p2/be+Y+2ubacRTUcoe+bs/D6QKq6//vRt1lMCgHNjRAkA0tBve35TtZHVfEGS5SMNvGWgPmnxCUESUlXhwtJVV3lur1ghHTlChwPA2RAoAUAamfL7FJePtP7f9W4/f7b8mtF+hh6r+Rj5SEjT6XcnTkjLltHpAHA2BEoAkMqiY6L13Nzn1OLzFjp0/JA7VrFwRUV0jVD9K+rT/0gzTL8DgCAJlBYsWKCmTZuqaNGi7tPUKVOmJHrugw8+6M4ZNGhQmrYRAC5E5LFINRvfTC8teMl3rG25tvqh0w+6LM9ldC7SFAUdACBIAqXDhw+rQoUKGjp06FnPmzx5spYuXeoCKgAIFmv3rHXrI037Y5rbzxCWQQNuHqCxLceSjwS/KFFCKlbMc3vJEun4cX4RABCQVe8aNWrktrPZvn27evTooRkzZqhx48Zp1jYAuBBf/f6V7pl8jw4eP+j282XLp8/v+FwNrmhAx8JvwsI8o0pjx0pHj0qrVkk1avALAYCgy1GKjo7WPffco969e6ts2bJJekxUVJQOHDgQZwOAtMxHemHeC2r+eXNfkFS+UHm3PhJBEgIB0+8AIAQCpddff12ZMmVSz549k/yY/v37K3fu3L6tmHeOAQCkQT6SFWzoN7+f71jrsq21uNNiXZ73cvofAYFACQCCPFBauXKl3nnnHY0ePTpZZXP79OmjyMhI37Z169ZUbScAmN//+d2V/p66bqovH+mNBm/os1afKUeWHHQSAsbVV0sFCnhuL1oknTrl7xYBQGAK2EBp4cKF2r17t4oXL+5GlWzbvHmzHn/8cV12WeKVosLDw5UrV644GwCkpq/Xfe0WkV23d53bz5s1r6a3m67etXuzPhICNk/JREZKv/zi7xYBQGAK2EDJcpN+/vlnrV692rdZ1TvLV7LCDgAQCPlIL85/UbePv92Xj3RtwWvd+kg3l7zZ380DEsX0OwAI8Kp3hw4d0oYNG3z7GzdudAFRvnz53EhS/vz545yfOXNmFS5cWFfbvAEA8KMDUQfUYXIHfbXuK9+xu8repQ9v/5Cpdgi6hWeTkQoMAOmGXwOliIgI1atXz7ffq1cv97Vjx44uNwkAAtG6f9a5qnaWl+TNR+pfv79612KqHYJD+fKSzUy3wrAWKMXEeKbkAQACJFCqW7euYuzVOYk2bdqUqu0BgHOxxWPbTWrnRpRMnqx5NL7VeDW8siGdh6CRMaNUp4707bfSnj3SunVS6dL+bhUABJaAzVECgEDLR3pp/ku6/bPbfUFSuYLl3PpIBEkIRuQpAcDZESgBwDkcjDqoVhNa6bl5zylGnlHwO665Q0s6L1HJfCXpPwR9oLRwoT9bAgCBya9T7wAg0P2x9w81H99ca/9Z6/bDFKZX67+q/9X+H6W/EdQqV5ayZZOOHvXkKQEA4mJECQAS8c0f37j1kbxBkuUjfdvuWz1V5ymCJAS9LFmkmjU9t7dskTZv9neLACCwECgBQDxWZOaVBa+o6WdNFRkV6Y6VLVBWK7qs0K1X3kp/IWSQpwQAiSNQAoB4+Uh3fHGHnp37rC8fqVWZVlp6/1Jdme9K+gohhUAJABJHjhKAkGR5F1YCOVMm6eRJ6dQpTz7G2Wz4d4OajW+m3/b85stHevmml9WnTh+m2iEkVa9ui7lLJ06QpwQA8TGiBCDkAqR9+6S33vK8CSxZ0vPV9u243Z+Q79Z/p6ojq/qCpNzhuTXt7ml6+vqnCZIQsrJnl6pU8dz+4w9p505/twgAAgeBEoCQERUlDR0qFSok9e0rrV5tC1V7vtq+Hbf77bzY+Uj9F/ZX43GNtf/YfnfsmgLXuHyk20rd5r//DJBGKBMOAAkjUAIQEmykaPBgqXdvzzSihNhxu3/IEM/5h44f0l1f3qWn5zzty0dqUbqFlnZeqlL5S6XtfwDwE/KUACBhBEoAQsKxY9LTTyft3D59pLU7/1TNUTX15W9fns5HqveyvrzrS+UMz5m6jQUCSO3aUliY5zYLzwLAaRRzABD0bHTIptQlNpIU34kS01V7TFsdk2eqXa7wXBrXcpwaX9U4dRsKBKDcuaWKFaUff5R+/tmTy5c3r79bBQD+x4gSgKBn1e0mTkzKmTFSndekdrf5gqQyF5dx+UgESUjPvNPvYmKkH37wd2sAIDAQKAEIelYCfL8n7klc5sPSHW2kBn2kME8+UrOrm7v1ka7Kf1WatBMIVOQpAcCZCJQABD1bJylPnrOckPcv6f6aUrkJvkNF1r6oz5pPdNPugPTu+utP316wwJ8tAYDAQaAEIOjZYrKtWiVyZ8nvpa5VpEK/ePaP5ZLGfa3u1/aVYngJBEyBAlKZMp6+WLlSOnSIfgEA3iUACHrZskndu0uZM8c+GiPVfkNq10jKts9zaE9paeRyZd7YRN26eR4HIO6oko3QLl1KrwAAgRKAkJA1q/Tqq7HzkdpKN/9PyhDtOfb77dIHy6S9V+u11zznAziNPCUAiIvy4ABCgo0O9egh/RuzUf03NpcK/Xz6zrkvSAv6KnOmDOo/wDP6FB7uz9YCgYdACQDiIlACEDIWbp+l96NbS4X+dfsZTuTUxQs/1SUHb1erl+Sm29lIEkEScKZixaTLLpM2bfJMvYuK4m8FQPrG1DsAQS8mJkYDFg9Qw08b6t9jniDpqnxX68duy/X33Nu1ZInUq5dnEU3yktK3BQsWqGnTpipatKjCwsI0ZcqUM55Lzz33nIoUKaJs2bKpQYMGWr9+fZxz/v33X7Vr1065cuVSnjx51LlzZx0KkeoH3lElC5IiIvzdGgDwLwIlAEHtyIkjajepnXrP7K3oGE8+UpOrmmh5l2UqX7S0MmTwfCpOgARz+PBhVahQQUOHDk2wQ9544w29++67Gj58uJYtW6YcOXKoYcOGOnbsmO8cC5LWrFmjmTNnatq0aS746tq1a0h0MNPvAOA0pt4BCFqb9m9Si89baPXO1b5jz93wnJ6v+7wyhPE5EM7UqFEjtyXERpMGDRqkZ599Vs2aNXPHxowZo0KFCrmRpzZt2mjt2rWaPn26VqxYoSpVqrhzBg8erNtuu00DBgxwI1WhFCj16ePP1gCAfxEoAQhKs/+ardZfttbeo3vd/kVZLtInLT5R89LN/d00BKmNGzdq586dbrqdV+7cuVW9enUtWbLEBUr21abbeYMkY+dnyJDBjUC1aNEiwe8dFRXlNq8DBw64r9HR0W4LFFdcIRUuHKadO8P0ww8xOn48RpnO8U7B2m9BZiD9PwIJ/UPf8LwJrL+p5DyOQAlAULEXx7eXvh1nqt1V+a/SlNZTVKbAfytmAufBgiRjI0ix2b73PvtasGDBOPdnypRJ+fLl852TkP79+6tfv35nHN+zZ0+caX2BoFq13Jo6NZsOHgzT3Ll7VaHCyXO+6YiMjHR/mxYwgv5JKp479I0/njcHDx5M8rkESgCCKh+p69ddNfaXsb5jjUs11tiWY5U7a26/tg04mz59+qiXVRSJNaJUrFgxFShQwBWFCCQ33yxNneq5vWZNPrd/rjctVhjD/i8ESvRPcvDcoW/88bzJmoyFFAmUAASFzfs3q/nnzePkI/W9oa9eqPsC+UhIEYULF3Zfd+3a5areedl+xYoVfefs3r07zuNOnjzpKuF5H5+Q8PBwt8VnF/lACy5i5yktXJjBVYw8F3vTEoj/l0BB/9A3PG8C528qOY/hFQ1AwJuzcY4qj6jsC5IsH2nSXZP0Yr0XCZKQYi6//HIX7MyePTvOyI/lHtWsWdPt29f9+/dr5cqVp5+fc+a4TzgtlykUlCsn5cnjub1woX166+8WAYB/MKIEIGDZ/ON3lr2jJ75/QqdiTrljpfKV0pQ2U3RNgWv83TwEIVvvaMOGDXEKOKxevdrlGBUvXlyPPvqoXn75ZZUqVcoFTn379nWV7Jo39xQJKVOmjG699VZ16dLFlRA/ceKEHn74YVfoIdgr3nnZh63XXy99/bW0d6+0dq1Utqy/WwUAaY9ACUBAOnriqLpO66pPf/7Ud+y2Ure5fKQ8Wf/7uBtIpoiICNWrV8+3780b6tixo0aPHq0nn3zSrbVk6yLZyFGdOnVcOfDYc9rHjh3rgqP69eu7KRytWrVyay+FEpt+Z4GSd1SJQAlAekSgBCDgbInc4tZHWvX3Kt+xZ65/Rv3q9lPGDBn92jYEt7p167qRyrPNe3/xxRfdlhgbfRo3bpxCWfz1lB580J+tAQD/IFACEFDmbZqnO7+4U/8c+cft58icQx83/1itrmnl76YB6UalSlKOHNLhw55AyWLLsDB/twoA0pZfizksWLBATZs2dfO67VM8W/ncy+Z9/+9//9O1116rHDlyuHM6dOigHTt2+LPJAFIzH2npO2owpoEvSCqZt6SW3r+UIAlIY5kzS7VqeW5v3265XPwKAKQ/fg2UbB54hQoVNHTo0DPuO3LkiFatWuUSae3rpEmTtG7dOt1+++1+aSuA1M1Huvere/XojEd9RRtuvfJWreiyQuUKlqPrgQCYfgcA6Y1fp941atTIbQnJnTu3Zs6cGefYkCFDVK1aNW3ZssVVJwIQGvlILT9vqZV/ny633KdOH71U7yXykYAACpTuvdefrQGAtBdUOUqRkZFuil4e7wIPCYiKinJb7DUwAASm+Zvmu3ykPUf2+PKRRjcfrTuuucPfTQPSvWrVpCxZpOPHGVECkD4FzYKzx44dczlLbdu2Va5cuRI9r3///m40yrsVK1YsTdsJIGn5SIOXDVb9MfV9QdIVea9w+UgESUBgsIroFiyZP//05CoBQHoSFIGSFXa466673JurYcOGnfXcPn36uJEn77Z169Y0ayeAczt28pju++o+9Zze05eP1LBkQ/KRgACffmfrKQFAepIhWIKkzZs3u5yls40mmfDwcHdO7A1AYNgauVXXf3S9Pv7pY9+xp2o/pW/u/kb5suXza9sAnImCDgDSs0zBECStX79ec+fOVf78+f3dJADnacHmBS4faffh3W4/e+bs+qjZR7qr7F30KRCgrER4hgxSdDQjSgDSH78GSocOHdKGDRt8+xs3btTq1avdqudFihTRHXfc4UqDT5s2TadOndLOnTvdeXZ/FsswBRDwbMrseyvec6W/T0afdMcuz3O5prSZovKFyvu7eQDOImdO6brrpIgI6ddfpb17JT6zBJBe+HXqXUREhCpVquQ206tXL3f7ueee0/bt2zV16lRt27ZNFStWdIGTd1u8eLE/mw0gGflInad21sPfPewLkm6+4mZFdI0gSAKCcPrdokX+bAkApKMRpbp167pPmxNztvsABLZtB7ap1YRWWr59ue9Y71q99Wr9V5UpQ0DP+gUQL1AaOPD0ekrNmtE9ANIH3q0ASHGLtixyQZI3Hylbpmz6sNmHalOuDb0NBJk6dU7ftkAJANKLgK96ByD48pHqfVzPFyRdlucyLem8hCAJCFKWk1SunOf2qlXSwYP+bhEApA0CJSBAHT0qHT/uqTZlX20/kEWdjFKXr7uo+7fdfflIDa5ooIguEapQuIK/mwfgAlx/veervR6RJgwgvSBQAgKMBUT79klvvSVVry6VLOn5avt2PBADpu0HtuvG0Tdq1I+jfMeeqPmEvmv3nfJnp6w/EOxYTwlAekSOEhBAoqKkoUOlp5+2dcTi3rd6tfTii9Krr0o9etjiygoIP2z5weUj7Tq8y5ePNOr2UWp7bVt/Nw1ACo8oGfKUAKQXjCgBAcJGigYPlnr3PjNI8rLjdv+QIf4fWbJ8pOERw10+kjdIKpG7hBZ3XkyQBISYSy7xjG6b5culY8f83SIASH0ESkCAsDceNpKUFH36+PeNiuUjdf26qx765iGdiPZEdTddfpNbH6li4Yr+axiAVJ9+ZzmTFiwBQKgjUAICgI0O2ZS7xEaS4rPz3nvPP6NKOw7uUN2P6+qDHz/wHetVo5dmtJ+hi7NfnPYNApAmyFMCkN4QKAEBIGNGaeLE5D3Gzs+Qxn/Bi7cuVuURlbV021K3nzVTVn3a4lO91fAtFpEFQhyBEoD0hkAJCACZMkn79yfvMXZ+5sxKMyNWjlDd0XW189BOt188d3H90OkHtSvfLu0aAcBvLr/ck6tkrER4UkfAASBYESgBAeDkSSlPnuQ9xs5Pizcqlo/0wNcP6IFpD/jykepdVs+tj3RdketSvwEAAkJY2OlRpcOHpR9/9HeLACB1ESgBAeDUKalVq+Q9xs63xR9T098H/3ZV7UasGuE79mj1R/X9Pd+rQI4CqfvDAQQcpt8BSE8IlIAAkC2b1L170qfS2Xndunkel1qWbF3i8pGWbFviy0ca03yM3r71bfKRgHSK9ZQApCcESkCAyJrVs5hsUrz2muf81DJy5UjdOPpG/X3ob7dfLFcxl490T4V7Uu+HAgh4ZcpI+fN7bi9cmPqj2gDgTwRKQICw0aEePaQBAxIfWbLjdr+NPqXGaNLxU8f14LQH1XVaV18+0o0lbnTrI5GPBMAqbXpHlaygzK+/0icAQheBEhBAwsM9U+p27ZJeflmqVMlTacq+2r4dt/vtvNTKR3p/5fu+Yz2r9dTMe2aqYI6CKf8DAQR9npKNKgFAqMrk7wYAiMtGimzr1Ut64gnPKJJVt7MpLqmVk2TrIrWa0MotJmvCM4ZrRNMR6lChA78eAGct6PDQQ3QQgNBEoAQEqNhBUWqMIHmNWjVK3b7t5qbdmUtzXarJrSerStEqqfdDAQStChWknDmlgwc9gVJMjL9bBACpg6l3QDplgVG3b7rp/q/v9wVJN5S4QSu7riRIAnDWBbJr1/bc3rlT2rCBzgIQmgiUgHRo56Gdqj+mvoZFDPMd61Gth2bdM4t8JADnxHpKANIDAiUgnVm+fbmqjKiiRVsW+fKRPmr2kd5t9K4yZ0ziQk4A0rW4BR3C/NkUAEg15CgB6chHP36kB7950DfV7pKcl7h8pKqXVPV30wAEkSpVPLmTUVFUvgMQuhhRAtKBE6dO6OFvH1anqZ18QdL1xa93+UgESQCSy4KkGjU8tzdtCtO2bbydABB6eGUDQtyuQ7tcPtLQFUN9x7pX7a5ZHWap0EWF/No2AKEx/W7Zsiz+bAoApAoCJSCErdi+QlVGVtHCLZ5VIbNkzKJRt4/SkNuGuNsAcL4IlACEOnKUgBA1evVoPTjtQUWdinL7RXMW1aS7Jqn6pdX93TQAIaBmTU+p8JMnpaVL+eAFQOhhRAkIwXyknt/11H1f3ecLkmoXq+3ykQiSAKSUHDmkypU9t9evz6Tdu+lbAKGFQAkIIbsP71aDTxpo8PLBvmMPVXlIczrOUeGLCvu1bQBCe/rdIs+KAwAQMgiUgBARsSPCrY+0YPMCt285SB80/UDvNX6PfCQgiU6dOqW+ffvq8ssvV7Zs2VSyZEm99NJLiomJ8Z1jt5977jkVKVLEndOgQQOtX78+XfZx3IVnWU8JQGghUAJCwJifxqjOh3W09cBWXz7S/Hvnq/N1nf3dNCCovP766xo2bJiGDBmitWvXuv033nhDgwefHqW1/XfffVfDhw/XsmXLlCNHDjVs2FDHjh1TelO7tpQhgyeInDzZk68EAKGCQAkI8nykR757RB2ndPTlI9UqVksRXSJU49L/FjkBkGSLFy9Ws2bN1LhxY1122WW64447dMstt2j58uW+0aRBgwbp2WefdeeVL19eY8aM0Y4dOzRlypR019N580qNGnlub9sWpmnT/N0iAEg5VL0DgtSew3t05xd3av7m+b5jD1Z+UO80eoepdsB5qlWrlkaMGKE//vhDV111lX766SctWrRIAwcOdPdv3LhRO3fudNPtvHLnzq3q1atryZIlatOmTYLfNyoqym1eBw4ccF+jo6PdFsweeihG33yT0d0eOjRGt99+epoiPL9jC7CD/fecGugb+sYfz5vkPM6vgdKCBQv05ptvauXKlfr77781efJkNW/e3He/dcLzzz+vkSNHav/+/apdu7abElGqVCl/Nhvwu5U7VqrF5y18U+0yZ8isobcNVZfKXfzdNCCoPfXUUy6IKV26tDJmzOhyll555RW1a9fO3W9BkilUKO5izbbvvS8h/fv3V79+/c44vmfPnqCfslehQrSKFbtYW7dm0axZYVqy5B+VLHnK380KGPamLDIy0r2nyZCBiTz0Dc8bf/9NHTx4MDgCpcOHD6tChQrq1KmTWrZsecb93nngH3/8sUustQRbmwf+22+/KWvWrH5pM+Bvn/z0ibpO66pjJz1vropcVEQT75qomsVq+rtpQNCbMGGCxo4dq3Hjxqls2bJavXq1Hn30URUtWlQdO3Y87+/bp08f9erVy7dvwVixYsVUoEAB5cqVS8H+puXee4/opZc8ayl98cXFGjiQUaXY/RMWFuZ+1wRKZz536JvE/67om9Tpm+TEEH4NlBo1auS2hMSfB25sHrh9amfzwBOb3gCEqpPRJ9X7+94atGyQ75jlIVmQZMUbAFy43r17u1El7zXm2muv1ebNm92IkAVKhQt7yuzv2rXLVb3zsv2KFSsm+n3Dw8PdFp9d5EPhzXObNkf1xhs5FRUVptGjw/TKK2FunSV42Ju6UPldpzT6hr5J6+dNch4TsH+x55oHnhibA26f1MXegFDIR7rlk1viBEldruuieR3nESQBKejIkSNnXERtCp53TrvNbrBgafbs2b777Tpj1e9q1ky/o7r58sWodWvP7chIafx4f7cIAC5cwAZKFzIP3AIq72ZTG4BgturvVaoysormbprry0ca3ni4RjQdofBMZ35CDeD8NW3a1OUkffPNN9q0aZPLnbVCDi1atPB9imlT8V5++WVNnTpVv/zyizp06OCm5sXOsU2PunU7Pd1u6FCbGeLX5gDABQu5qneJzQMHgtHYn8fq/q/v9+UjFb6osL6880vVLl7b300DQpKtl2T5sN26ddPu3btdAPTAAw+4BWa9nnzySZdj27VrV1doqE6dOpo+fXq6z52tWlWqUkWKiJB+/FGyiurVq/v11wkAoRkopfQ8cCDY8pGenPmk3l76tu9Y9Uuqa1LrSUy1A1JRzpw5XX6sbYmxUaUXX3zRbYirWzepU6fTo0oESgCCWcBOvWMeONKrf478o4afNowTJN1f6X7Nv3c+QRKAgGZ5SrYIrfn8c+mff/zdIgAI0kDp0KFDrvSqbd4CDnZ7y5YtzANHurR652pVGVFFczbOcfuZMmTSsMbDyEcCEBSyZz89onT8uPThh/5uEQAEaaAUERGhSpUquc1YbpHd9s4Ft3ngPXr0cPPAq1at6gIr5oEjVH32y2eqNaqWNkdudvuFchTS3I5z9WCVB90HBwAQDB588PTt4cOlU6w9CyBI+TVHqW7dum69pMQwDxzpJR/pqVlP6a0lb/mOVbukmibdNUmX5LrEr20DgOS68kqpYUNpxgybKSJNny41bkw/Agg+AZujBKQHe4/sVaOxjeIESZ0qdnL5SARJAIK5qIPXe+/5syUAcP4IlAA/+WnnT259pFl/zfLlIw29bag+uP0DZc2Uld8LgKBlI0jFi3tuf/ed9Ndf/m4RACQfgRLgB+N/Ha+ao2pq0/5Nbr9gjoKa02GOulXtRj4SgKCXMePpXCWbYf/++/5uEQAkH4ESkIZORZ9y6yO1ndhWR08edceqFq2qiC4Rur7E9fwugERs3bpV27Zt8+0vX75cjz76qEaMGEGfBajOnaXMmT23R42SjnnWzQaAoEGgBKSRf4/+6/KR3lz8pu/YvRXv1YL7FqhY7mL8HoCzuPvuuzV37lx3e+fOnbr55ptdsPTMM8+w8GuAKlhQuvNOz+29e6UJE/zdIgBIHgIlIA38vOtntz7SzL9m+vKRBjcarA9v/5B8JCAJfv31V1WrVs3dnjBhgsqVK6fFixdr7NixGj16NH0YoCjqACCYESgBqWzCmgkuH2nj/o1uv0D2AprdYbYervYw+UhAEp04cULh4eHu9qxZs3T77be726VLl9bff/9NPwaoWrWkChU8t5ctk1au9HeLACDpCJSAVMxHsvWRWn/ZWkdOHHHHqhStopVdV+qGEjfQ70AylC1bVsOHD9fChQs1c+ZM3Xrrre74jh07lD9/fvoyQNla2bFHlYYN82drACB5CJSAVMpHajyusV7/4XXfsY4VOmrBveQjAefj9ddf1/vvv+8WKm/btq0q/DdMMXXqVN+UPASmu++WcuXy3B43Ttq3z98tAoCkyZTE8wAk0S+7flHzz5vrr32ehUMyhmXUwIYD1aNaD6baAefJAqR//vlHBw4cUN68eX3Hu3btquzZs9OvAeyii6SOHaXBg6WjRyVLKXvsMX+3CgDOjRElIAV9+duXLh/JGyRdnP1izeowSz2r9yRIAi7A0aNHFRUV5QuSNm/erEGDBmndunUqaOXVENAeeiju9LvoaH+2BgCShkAJSKF8pKdnP607v7hTh08cdseuK3Kdy0eqe1ld+hi4QM2aNdOYMWPc7f3796t69ep666231Lx5cw0j8SXglSkj3XST5/b69dLs2f5uEQCkQqDUsWNHLViwILkPA0LWvqP71OSzJuq/qL/v2D3l79Gi+xapeO7ifm0bECpWrVql66/3LMr85ZdfqlChQm5UyYKnd99919/NQxJQKhxAyAdKkZGRatCggUqVKqVXX31V27dvT52WAUHg192/qurIqpq+YbovH2lQw0H6uPnHypY5m7+bB4SMI0eOKGfOnO72999/r5YtWypDhgyqUaOGC5gQ+Kyie9GinttTp0pbt/q7RQCQwoHSlClTXHD00EMP6fPPP9dll12mRo0auU/4bJ0LIL2Y+NtE1fighv7c96cvH2nmPTP1SI1HyEcCUtiVV17prj9bt27VjBkzdMstt7jju3fvVi5vSTUEtMyZrfiG57blKL3/vr9bBACpkKNUoEAB9erVSz/99JOWLVvmLmD33HOPihYtqscee0zrbQIyEML5SM/MfkZ3fHGHLx+pUuFKiugSoXqX1/N384CQ9Nxzz+mJJ55wH85ZOfCaNWv6RpcqVark7+Yhibp0kTL9V2935Ejp+HG6DkCIFnOw1dBt4T/bMmbMqNtuu02//PKLrrnmGr399tsp10ogQOw/tl9NP2uqVxe96jvWvnx7/dDpB5XIU8KvbQNC2R133KEtW7YoIiLCjSh51a9fn+tNELGpdy1aeG7v3i1NmuTvFgFACgZKNr1u4sSJatKkiUqUKKEvvvhCjz76qFsd/eOPP9asWbM0YcIEvfjii8n91kBAW7N7jctH+m7Dd6fXR7ploMY0H0M+EpAGChcu7EaP7Hqzbds2d8xGl0qXLk3/BxGKOgAI2UCpSJEi6tKliwuSli9f7j7de/DBB+PMEa9Xr57y5MmT0m0F/GbS2kmqMaqGNvy7we3nz5Zf39/zvR6r+Rj5SEAaiI6Odh/A5c6d211/bLPrzEsvveTuQ/C48UZPuXCzcKH0yy/+bhEAJOy/mcJJZ1Pq7rzzTmXNmjXRc+zitXHjxuR+ayDgRMdE6/m5z+vlhS/7jlUsXFGTW0/WZXku82vbgPTkmWee0ahRo/Taa6+pdu3a7tiiRYv0wgsv6NixY3rllVf83UQkUViYZ1SpRw/P/nvveRahBYBAExYTExOjEHbgwAH3CaSVNacyEpKbj9R+Unt9s/4b37G25drqg9s/UPbM2elMIA1ff61Y0PDhw3W71ZiO5auvvlK3bt2CbqmKULo22YieVR8sWLCgK9meFAcOePKVDh+WcuSQduyQgrwbUrR/0gv6hr7xx/MmOa+//MUCCVi7Z62qjazmC5IyhGXQgJsHaGzLsQRJgB/8+++/CeYi2TG7D8HF3pvcc4/ntgVLn3zi7xYBwJkIlIB4pvw+RdU/qK71/3rK3OfLlk8z2s/Q47UeJx8J8JMKFSpoyJAhZxy3Y+XLl/dLm3BhHnro9G2bfhfa81sApIscJSCU85H6zeunFxecrthYoVAFl490ed7L/do2IL1744031LhxY1dZ1buG0pIlS9wCtN9++62/m4fzYPFtnTqWayb99pu0YIGn0AMABApGlABJkcci1Xx88zhBUptybdz6SARJgP/deOON+uOPP9SiRQvt37/fbS1bttSaNWv0CfO2glb37qdvDx3qz5YAwJkYUUK69/s/v7sgad3edb58pNcbvK7HazLVDggkVtAhfnW7n376yVXDGzFihN/ahfPXsqVUsKBn8dnJkz1FHazIAwAEAkaUkGqOHpWOH7fqJJ6vth9opq6b6oo2eIOkvFnzanq76Xqi1hPkIwFAKsuSRerSxXP75Enpgw/ocgCBg0AJKc4Con37pLfekqpXl0qW9Hy1fTseCAGT5SO9MO8FNRvfTAePH3THri14rSK6Rujmkjf7u3kAkG507Sp5K/y+/7504oS/WwQAHgRKSFFRUZ555oUKSX37SqtXS5s2eb7avh23++08fzkQdUAtPm+hfvP7+Y7dVfYuLem8RFfkvcJ/DQOAdKh4calpU89tm3r39df+bhEAeJCjhBRjI0UWBPXunfg59kmh3e9dmT1btrT9Baz7Z52af97c5SV585H61++v3rV6M9UOCEBWsOFsrKgDQqOow1dfeW7bdeQcv3YASBMESkgxx45JTz+dtHP79JE6dUrbQOnrdV+r/eT2bkTJm480/o7xuqXkLWnXCADJYqunn+v+Dh060KtBrn59qVQpaf16ac4cae1aqUwZf7cKQHpHoIQUHU1K6txyO88WGOzVK/WDJctHennBy3p+3vO+Y5aPZOsjlcxXMnV/OIAL8tFHH9GD6YDlKNkCtHZNMMOHS++84+9WAUjvAjpH6dSpU+rbt68uv/xyZcuWTSVLltRLL72kGJbvDjgZM0oTJybvMXa+N4E3tdjoUasJreIESXdcc4cWd15MkAQAAeTee09/cDZ6tHT4sL9bBCC9C+hA6fXXX9ewYcM0ZMgQrV271u3b6uyDBw/2d9MQT6ZMliuQvG6x8zNnTr2u/GPvH6rxQQ1N+X2K2w9TmMtHmnDHBF2U5aLU+8EAgGTLm1dq29Zz+8ABadw4OhGAfwV0oLR48WI1a9ZMjRs31mWXXaY77rhDt9xyi5YvX+7vpiEeW/8iT57kdYudn1plYL/54xtVHVlVa/9Z6/lZWfPo23bf6qk6T1G0AQACuKiDl03nZgIJAH8K6ECpVq1amj17tv744w/fCuyLFi1So0aNEn1MVFSUDhw4EGdD6jt1SmrVKnmPsfNtMdrUyEdq+llTX9GGsgXKakWXFbr1yltT9ocBAFLUddd51t0zP/0kLVlCBwPwn4AOlJ566im1adNGpUuXVubMmVWpUiU9+uijateuXaKP6d+/v6uC5N2KFSuWpm1Or2xeuX0SmNSpdHZeSpcHPxh1UHdMuEN95/ZVjGLcsVZlWmnp/Ut1Zb4rU+4HAQhp27dvV/v27ZU/f36XH3vttdcqIiLCd7/lyT733HMqUqSIu79BgwZab+XakCLs2uBlRX8AwF8COlCaMGGCxo4dq3HjxmnVqlX6+OOPNWDAAPc1MX369FFkZKRv27p1a5q2OT3LmlV69dWknfvaa57zU8r6vetVY1QNTf59si8f6ZWbXtEXd35BPhKAJNu3b59q167tPpz77rvv9Ntvv+mtt95SXkug+Y/lyr777rsaPny4li1bphw5cqhhw4Y6Zmsk4ILddZeUP7/n9hdfSLt306kA/COgy4P37t3bN6pk7FO9zZs3u1Gjjh07JviY8PBwtyHt2ehQjx6exWRtnaSE8o9sJKl/f8/oU0r9mr5d/63unni3IqMi3X7u8Nz6rNVnalQq8SmaAJAQKxpkMxFilyW3yquxR5MGDRqkZ5991uXQmjFjxqhQoUKaMmWK73qF82cfonXubAGpdPy4NGqU55oCAGktoAOlI0eOKEO8+tEZM2ZUdEontiDFWPBj0yZsMVmbMmElwK26nRVusJwku88ugikRJNkblv6L+uvZOc/6ptpdU+AaTWk9RaXyl7rwHwAg3Zk6daobHbrzzjs1f/58XXLJJerWrZu6dOni7t+4caN27tzpptt52TTv6tWra8mSJYkGSpY/a5uXN3/WrmfBfk2z9tvrcUr+P6y733wzTDExYRo+PEZPPBHjlqEIRqnRP6GCvqFv/PG8Sc7jAjpQatq0qV555RUVL15cZcuW1Y8//qiBAweqk70LR0CPLNlmCwc+8YRnFMlGl+x5mVI5SYeOH9K9U+7VxLWnF29qWaalRjcbrZzhOVPmhwBId/766y+3LEWvXr309NNPa8WKFerZs6eyZMniZjJYkGRsBCk22/felxCbCdGvX78zju/Zsyfop+zZmw6b6m5vXOJ/uHm+LrpIuummPJo9O6u2bAnTZ5/t1y23nA4003v/hAr6hr7xx/Pm4MGDoREo2XpJtuCsfZq3e/duFS1aVA888IBLokXgix0UpeRsyA3/blDz8c21Zs8aXz7SS/VeUp/r+yhDGBchABd2Aa5SpYpe/S/h0ooI/frrry4fKbEp30lh+bMWfMUeUbIpfgUKFFCuXLmCvs/CwsLc/yUlA4FHHpFmz/bcHjcuj9q398wcCDap1T+hgL6hb/zxvMmajCT5gA6UcubM6eaC2waY6Rumq+3Ettp/bL8vH2lsy7FqfFVjOgjABbNKdtdcc02cY2XKlNFEm0csqXDhwu7rrl273Lletl+xYsVEv29i+bN2kQ+FN8/2piWl/y+33SZddpm0aZM0Y0aYNm4MU8mSCkqp0T+hgr6hb9L6eZOcx/AXi6Bgw6uvLXpNt429zRcklbm4jJZ3WU6QBCDFWMW7devWxTlma/mVKFHCV9jBgiVb4y/26JBVv6tZsya/iRRkOUkPPXR6f9gwuhdA2iJQQsCzfKTWX7ZWn9l9fEUbmpdurmX3L9NV+a/yd/MAhJDHHntMS5cudVPvNmzY4JanGDFihLpbqc7/PsW09fxefvllV/jhl19+UYcOHdzU8ObNm/u7+SHHUpK9A3EffigdPervFgFITwiUEND+/PdP1RxVU1/89oUvH+nFui9q4l0TKdoAIMVVrVpVkydP1meffaZy5crppZdectO/Yy90/uSTT6pHjx7q2rWrO//QoUOaPn16sua9I2kuvtizrpLZt0/6/HN6DkDaCYuxOU0hzKZEWOlWq44R7Amz6c2MDTNcPtK+Y/vcfq7wXC4fqclVTfzdNABJwOtv+ugbS6y2gksFCxZMlRycpUsl76zGqlWl5csVVFK7f4IZfUPf+ON5k5zXX/5iEXAsdn990eu6bdxtviCp9MWltfz+5QRJAJDOVK8uXXed5/aKFZ4NANICgRICyuHjh9VmYhs9NfspRcd4FgS7/erbXT7S1Rdf7e/mAQDSWFiYZ7FyL1vMHADSAoESAsZf+/5y+UgT1kzwHXvhxhc0ufVkN+0OAJA+tW0r5c7tuT1+vLR3r79bBCA9IFBCQJj550xVGVFFv+z+xe3nzJJTX7X5Ss/XfZ5FZAEgncueXbrvPs/tY8ek0aP93SIA6QGBEvyej/TmD2/q1rG3+vKRrs5/tVsfyabcAQBg4q+pFO2ZnQ0AqYZACX7NR7p70t16ctaTvnykplc1dflIVrwBAACvq66Sbr7Zc/vPP6WZM+kbAKmLQAl+sXHfRtX6sJbG/zred+z5G5/XlDZTlDvrfxPRAQCIJXZRh6FD6RoAqStTKn9/4Ayz/pql1l+21r9H//XlI41pMUbNS7OqPQAgcU2aSJdeKm3bJk2bJm3aJF12GT0GIHUwooQ0zUd6a/FbavhpQ1+QdFX+q9xUO4IkAMC5ZMokPfCA95oijRhBnwFIPQRKSBNHThxRu0nt9MTMJ3z5SE2uauIWkS1ToAy/BQBAktx/v5Q5s+f2Bx9IUVF0HIDUQaCEVLdp/ybV/rC2Pvv1M9+xvjf0deW/yUcCACRH4cJSq1ae23v2SBMn0n8AUgeBElLVnI1z3PpIq3eudvsXZblIk+6apBfrvcj6SACA80JRBwBpgUAJqZaPNHDJQN38yc3ae9SzhHqpfKVcPlKLMi3odQDAeatTRypXznN78WJpteezOABIUQRKSJV8pHsm36PHv3/cl490W6nb3CKy1xS4hh4HAFyQsLC4o0q2AC0ApDQCJaSozfs3q86HdTT2l7G+Y89c/4ymtpmqPFnz0NsAgBTRvr2UM6fn9qefSpGRdCyAlEWghBQzd+NcVRlZRT/u/NHt58icQxPvmqiXb3pZGTNkpKcBACnGgqQOHTy3jxyRxoyhcwGkLAIlpEg+0qClg1w+0j9H/nHHrsx3pctHalmmJT0MAEgVDz10+vZ773nWVgKAlEKghAty9MRRdZjSQY/NeEynYk65Y42ubOTWRypbsCy9CwBINWXLSjfe6Ln9++/S3Ll0NoCUQ6CE87YlcovqfFRHn/78qe9Ynzp99HXbr5U3W156FgCQ6rp3jzuqBAApJVOKfSekK/M2zdNdX9ylPUf2+PKRRjcfrTuuucPfTQMApCPNm3sWod25U5oyRdq+XbrkEn+3CkAoYEQJyc5HenfZu2owpoEvSCqZt6SW3r+UIAkAkOYyZ5a6dvXcPnVKGjmSXwKAlEGghGTlI9371b16ZPojvnykhiUbakWXFSpX8L+V/wAASGNdukgZ/yuuOmKEdOIEvwIAF45ACUmyNXKrrv/oeo356XT91adqP6Vv7v6GfCQAgF9deqnUrJnn9t9/e6bgAcCFIlDCOc3fNF+VR1TWyr9Xuv3smbNrwh0T1L9Bf9ZHAgAEBIo6AEhpBEo4az7SkOVD1OCT0/lIV+S9Qks6L9GdZe+k5wAAAaNePenqqz23582TVqzwd4sABDsCJSTo2Mlj6jS1k3p810Mno0+6Y7eUvMXlI5UvVJ5eAwAElLAw6eGHT+936CAdOeLPFgEIdgRKOMO2A9t0w0c3aPTq0b5jT9Z6Ut/e/a3yZctHjwEAApJVv7vuutML0D7+uL9bBCCYBXygtH37drVv31758+dXtmzZdO211yoiIsLfzQpZCzcvdPlIK3as8OUjjW81Xq/f/Dr5SACAgJYlizRunJQtm2d/+HBp6lR/twpAsAroQGnfvn2qXbu2MmfOrO+++06//fab3nrrLeXNm9ffTQvJfKShy4fqpjE3affh3e7YZXku0+JOi9W6XGt/Nw8AgCSxPKVBg07vd+7sqYQHAMmVSQHs9ddfV7FixfTRRx/5jl1++eV+bVOo5iN1+6abPlp9up8bXNHAjSTlz57fr20DAOB81lX67jtPmfB//pHuvdeznyGgPx4GEGgC+iVj6tSpqlKliu68804VLFhQlSpV0shzLLkdFRWlAwcOxNlw9nykG0ffGCdIeqLmE/qu3XcESQCAoC3sYG8XihTx7H//vfTuu/5uFYBgE9CB0l9//aVhw4apVKlSmjFjhh566CH17NlTH3/8caKP6d+/v3Lnzu3bbEQKCVu0ZZGqjKii5duXu/1smbJpXMtxevOWN5UpQ0APNgIAcFYXXyzFfrvwv/9JP/9MpwEIkUApOjpa1113nV599VU3mtS1a1d16dJFwy07MxF9+vRRZGSkb9u6dWuatjlY8pGGrRimeh/X067Du07nI3VerLbXtvV38wAASBE333y68t3x41LbttLRo3QugBAIlIoUKaJrrrkmzrEyZcpoy5YtiT4mPDxcuXLlirPhtKiTUerydRd1+7abb32k+pfXd+sjVSxcka4CAISUV16RKlTw3P7tN+nJJ/3dIgDBIqADJat4t27dujjH/vjjD5UoUcJvbQpm2w9sd/lIo34c5Tv2eM3HNb39dF2c/WK/tg0AgNQQHu4pGZ41q2d/yBDp22/pawBBHig99thjWrp0qZt6t2HDBo0bN04jRoxQ9+7d/d20oPPDlh9UZWQVLdu+zO1nzZRVY1uO1YBbBpCPBAAIaTY55a23Tu/fd5+0yzPzHACCM1CqWrWqJk+erM8++0zlypXTSy+9pEGDBqldu3b+blpQeT/ifZePtPPQTrdfIncJtz7S3dfe7e+mAQCQJh56SGrSxHN7926pUyfL2aXzASQu4EubNWnSxG04v3ykHt/10MhVp0uq17usnibcOYGpdgCAdFcyfNQoqXx5z2iSTb8bOlR6+GF/twxAoAroESWcvx0Hd7hRpNhB0mM1HtP393xPkAQASJcKFpRGjz69/8QT0po1/mwRgEBGoBSClmxdosojKmvJtiW+fKRPWnyigQ0Hko8EAEjXbr1V6tnTczsqSrr7bunYMX+3CkAgIlAKMSNWjnCV7bz5SMVzF9cPnX5Q+/Lt/d00AAg6r732msLCwvToo4/6jh07dswVFcqfP78uuugitWrVSruoDBBUXn9dKlfOc9sWoe3Tx98tAhCICJRCxPFTx/XgtAf1wLQHdCL6hDtW97K6iugSoeuKXOfv5gFA0FmxYoXef/99lbeklngVWb/++mt98cUXmj9/vnbs2KGWLVv6rZ1IPisVbiXDrXS4GTRImjGDngQQF4FSCPj74N8uH+n9le/7jj1S/RF93/57FchRwK9tA4BgdOjQIVdhdeTIkcqbN6/veGRkpEaNGqWBAwfqpptuUuXKlfXRRx9p8eLFbjkLBI9rr5XeeOP0/r33Snv2+LNFAAJNwFe9w9kt3bZULT9vqb8P/e32wzOGa2TTkbqnwj10HQCcJ5ta17hxYzVo0EAvv/yy7/jKlSt14sQJd9yrdOnSKl68uJYsWaIaNWok+P2ioqLc5nXgwAH3NTo62m3BzNofExMTlP8PW5bx22/DNGNGmHbulDp3jtHkyTGuQl5KCeb+SW30DX3jj+dNch5HoBTEPlj1gbp/291NuzPFchXT5NaTVbloZX83DQCC1vjx47Vq1So39S6+nTt3KkuWLMqTJ0+c44UKFXL3JaZ///7q16/fGcf37Nnjcp6Cmb3psJE2e+OSIUPwTVR5440MiojIr717M+rrr8M0YMABdex4NMW+f7D3T2qib+gbfzxvDh48mORzCZSCkAVGj3z3iIavHO47dmOJG936SAVzFPRr2wAgmG3dulWPPPKIZs6cqayWyJJC+vTpo169esUZUSpWrJgKFCigXLlyKdjftFjBC/u/BGMgYCXDP/xQatbMs9+vXy41aZJTZcqkzPcP9v5JTfQNfeOP501yXtsJlIKMVbO7Y8Id+mHrD75jPar10Fu3vKXMGTP7tW0AEOxsat3u3bt13XWni+CcOnVKCxYs0JAhQzRjxgwdP35c+/fvjzOqZFXvChcunOj3DQ8Pd1t8dpEPhTfP9qYlmP8vt98udesmvfeedPRomNq3D5OlnCXwK0uX/ZOa6Bv6Jq2fN8l5DH+xQWTZtmVufSRvkGT5SB81+0jvNnqXIAkAUkD9+vX1yy+/aPXq1b6tSpUqrrCD93bmzJk1e/Zs32PWrVunLVu2qGbNmvwOgtiAAfKNIq1eLfXt6+8WAfA3RpSCxIc/fqiHvnnIl490aa5LNemuSap6SVV/Nw0AQkbOnDlVzrvAzn9y5Mjh1kzyHu/cubObRpcvXz43ba5Hjx4uSEqskAOCQ7ZsnpLh1atLx49Lb74pNWxowbO/WwbAXxhRCnAWGHX/prs6T+3sC5KuL369Wx+JIAkA0t7bb7+tJk2auIVmb7jhBjflbtKkSfwqQkDFilZ44/R+hw7S3r3+bBEAf2JEKYDtOrRLd3xxhxZtWeQ79nDVhzWw4UCm2gFAGpk3b94ZicBDhw51G0LPo49K06dLM2dKO3ZIXbpIEydaToS/WwYgrTGiFKCWb1/u8pG8QVKWjFn04e0favBtgwmSAABIJZbnPXq0lD+/Z3/yZE9VPADpD4HSWRw96pmnbOtS2VfbTwsf/fiRbvjoBm0/uN3tX5LzEi28b6Huq3Rf2jQAAIB0rGhR6YMPTu/37Cn98Yc/WwTAHwiUEmAB0b590ltveZI6S5b0fLV9O55aAdOJUyfU49se6jS1k6JOeVZwr1O8jiK6RqjaJdVS54cCAIAzNG8ude3quX3kiHT33Z4PTQGkHwRK8URFSTbtvFAhT2lQKxG6adPpUqF23O6381LS7sO71eCTBhqyYojvWLcq3TS7w2wVvijxtTkAAEDqGDhQuvpqz+2VK6UXXqCngfSEQCkWGykaPFjq3Vs6cSLhDrPjdv+QISk3shSxI8LlIy3YvMCXj/RB0w80tPFQdxsAAKS9HDk8JcMz/7ee+2uvSfPn85sA0gsCpViOHZOefjppHdenj+f8C/Xx6o9V58M62nZgm9svmrOo5t87X52v63zh3xwAAFyQ666TXn7ZczsmRmrf3jMNH0DoI1D6j40O2ZS6xEaS4rPz3nvv/EeVLB+p53c9de9X9/rykWoVq6WVXVeqxqUsWggAQKB44gmpXj3P7W3bpAce8ARNAEIbgdJ/Mmb0rJOQHHa+lRE9n3ykmz+5WYOXD/Yde7Dyg5rbcS75SAAABBi71o8ZI+XN69n/4gvPPoDQRqD0n0yZpP37k9d5dr533nJSrdyxUlVGVNH8zZ5JzpkzZNaIJiM0rMkw8pEAAAhQl14qjRx5ev/hh6U///RniwCkNgKl/5w8KeXJk7zOs/OTOlXPjPlpjGp/WFtbD2x1+0UuKuLykbpU7pK8HwwAANJcq1ZSp06e24cOSe3aJe99AIDgQqD0n1OnPC+AyWHn22K0SclHenT6o+o4paMvH6nmpTVdPlLNYjWT/1sDAAB+8c470pVXem4vWya99BK/CCBUESj9J1s2qXv3pE+ls/O6dfM87mz2HN6jWz69Re8se8d3rOt1XV0+UpGcRc7/NwcAANLcRRd5SobblH3zyivSokX8IoBQRKAUS9as0quvJq3jbC0FO/9sVv29SlVGVtG8TfN8+UjvN3lf7zd9X+GZws//twYAAPymalWpXz/PbZtZYiXDIyP5hQChhkApFhsd6tFDGjAg8ZElO2732+jT2UaTxv481uUjbYnc4vYLX1RY8+6dp66Vu6bsbxAAAKS5//1Puv56z+3Nmz2zTACEFgKleMLDPS92u3Z5FpirVEm6/HLPV9u343a/nZeQk9En1WtGL7Wf3F7HTnpWpLV1kSwfydZJAgAAobGsyKefSrlze/ZtOt7Ysf5uFYCU9N8MW8RmI0W29erlWWTORpGsqo0Nr59tFOmfI/+o9ZetNWfjHN+x+yvdryG3DWGqHQAAIaZ4cen996U2bTz79kFqrVqeD1gBBD9GlM7CgiIbObKF5uzr2YKkH//+0a2P5A2SLB9pWONhGtF0BEESAAAhqnVrqUMHz+0DBzz5SrbkCIDgR6CUAsb9Ms7lI22O3Oz2C+Uo5KraPVjlQYWFhaXEjwAAAAFq8GDpiis8txcvTnphKACBjUDpAlg+0hPfP6F2k9rp6Mmj7lj1S6q7fKTaxWun1O8IAAAEsFy5PPlKlrdkXnxRWrLE360CkK4Cpddee82N0Dz66KP+bor2HtmrWz+9VW8tect3rFPFTpp/73xdkusSv7YNAACkrZo1peeeO72Ifbt2nql4AIJX0ARKK1as0Pvvv6/y5cv7uyn6aedPbn2k2Rtnu/1MGTJp6G1D9cHtH5CPBABAOvX0055iDmbjRs+SIwCCV1AESocOHVK7du00cuRI5c2b169tGf/reNUcVVOb9m9y+wVzFNScDnPUrWo38pEAAEjHMmXyTMGzqXhmzBhp/Hh/twpASAdK3bt3V+PGjdWgQYNznhsVFaUDBw7E2VIqH6n3973VdmJbXz5S1aJVXT7S9SX+W3EOAACka1Ya/L33Tu936xambduC4u0WgHgC/i93/PjxWrVqlfr375+k8+283Llz+7ZixYqlSD5So7GNNGDJAN+x+yrepwX3LdCluS694O8PAABCh+Un3X2353ZkZJg6dMirzZ7CuACCSEAHSlu3btUjjzyisWPHKmvWrEl6TJ8+fRQZGenb7HtcaD5S1ZFVNeuvWb58pCGNhmjU7aOUNVPS2gQAANIXG1UqUcJze+3azKpePUwLF/q7VQBCJlBauXKldu/ereuuu06ZMmVy2/z58/Xuu++626esrEw84eHhypUrV5ztfE1YM0G1Pqyljfs3uv0C2QtodofZ6l6tO/lIAAAgUblzS9OnS1deGeP29+wJU/360siRdBoQLAI6UKpfv75++eUXrV692rdVqVLFFXaw2xm9Cxakkp93/awjJ46421WKVnH5SDeUuCFVfyYAAAgNpUvbekoxuuGGKLd/4oTUtaunGp7dBhDYMimA5cyZU+XKlYtzLEeOHMqfP/8Zx1NDv7r99OPOH91I0rDGw5Qtc7ZU/5kAACB05MsnjR27TwMGFNI774S5Y0OGSGvWSF98IeXP7+8WAgjKQMnfMmbIqIl3TVR4xnCm2gEAgPMuGz5wYIzKlw/Tgw96RpPmzpWqVpWmTpXS4LNfAOkhUJo3b16a/jwKNgAAgJTQqZNnOl7LltKuXZ5FaWvW9Ky91KwZfQwEmoDOUQIAAAgltWpJK1ZIlSt79g8dkpo3l155RYrx1H0AECAIlAAAANKQLfG4YIHUps3pY88+69k/fJhfBRAoCJQAAADSWPbs0rhx0quvSmGeGg+aMEGqU0fasoVfBxAICJQAAAD8wAKkPn2kr76ySr+eY6tXS1WqSIsW8SsB/I1ACQAAwI+aNpWWLpVKlvTs79kj3XST9MEH/FoAfyJQAgAA8LNrrpGWL5fq1/fsWwnxLl2knj1ZnBbwFwIlAACAAFmcdvp0T3DkNXiwdOut0t69/mwZkD4RKAEAAATQ4rTvvCONGiVlzuw5NmeOVK2atGaNv1sHpC8ESgAAAAG4OO3cuVLBgp79v/6SatSQpk71d8uA9INACQAAIADVru1ZnLZSJc8+i9MCaYtACQCAWPr376+qVasqZ86cKliwoJo3b65169bF6aNjx46pe/fuyp8/vy666CK1atVKu3btoh+R4ooX95QKb93asx8T41mctm1b6cgROhxITQRKAADEMn/+fBcELV26VDNnztSJEyd0yy236PDhw75zHnvsMX399df64osv3Pk7duxQy5Yt6Uek2uK0n30mvfLK6WOffy5df720dSudDqSWTKn2nQEACELTrexYLKNHj3YjSytXrtQNN9ygyMhIjRo1SuPGjdNNttiNpI8++khlypRxwVUNSyQBUmFx2qeflsqVk9q180zDW7XKszjtpEmeaXoAUhaBEgAAZ2GBkclntZslFzDZKFODBg1855QuXVrFixfXkiVLEgyUoqKi3OZ14MAB9zU6OtptwczaHxMTE/T/j2DpnyZNpMWLpebNw/TXX2HavVuqVy9GQ4fGqHNnBRWeO/SNP543yXkcgRIAAGe5oD766KOqXbu2ytlH+ZJ27typLFmyKE+ePHHOLVSokLsvsbynfv36nXF8z549Lt8p2PvIgkl745IhAzP606J/ChSQvv46TA88kEeLFoXrxIkwde0apmXLDuuFFw66EuPBgOcOfeOP583BgweTfG6Q/CkBAJD2LFfp119/1SLLpr8Affr0Ua9eveKMKBUrVkwFChRQrly5FOxvWsLCwtz/hUAp7frHyobPmiU98USMhgwJc8dGjcqhTZuya/z4GLd4baDjuUPf+ON5kzVr1iSfS6AEAEACHn74YU2bNk0LFizQpZde6jteuHBhHT9+XPv3748zqmRV7+y+hISHh7stPrvIh0JwYW9aQuX/Ekz9Y0+pwYOlChWkbt2kEyek2bPDVKNGmL76SipbVgGP5w59k9bPm+Q8hlc0AABisekcFiRNnjxZc+bM0eWXXx6nfypXrqzMmTNr9uzZvmNWPnzLli2qWbMmfYk0d//90pw5pxen/fNPz+K0X3/NLwO4EARKAADEm2736aefuqp2tpaS5R3ZdvToUXd/7ty51blzZzeVbu7cua64w3333eeCJCrewV/q1PEsTluxomffquI1a2b5cZ61lwAkH4ESAACxDBs2zCUK161bV0WKFPFtn9vCNf95++231aRJE7fQrJUMtyl3k6xGMxAAi9Peeadn3wIkKyl+990sTgucD3KUAACIN/UuKcnAQ4cOdRsQSHLk8CxGa3lLzz7rOTZ+vPTHH9KUKVKxYv5uIRA8GFECAAAIscVpn3nGExhddJHnmC1OW7WqZw0mAElDoAQAABCCLEdpyRLJW49k1y7pxhulLl2kDRv83Tog8BEoAQAAhChbJ9mKPNSr59k/eVL64APp6qs9uUs//+zvFgKBi0AJAAAghOXPL82YIT3/vORd3zg6WvrsM08u0+23S0uX+ruVQOAhUAIAAAhxmTNLL7wgbd4svfKKdPHFp++z9ZZsCbCbbpJmzaKcOOBFoAQAAJBO5MnjKRluAdM770iXXnr6vrlzpZtvlqpX9xSCsFEnID0jUAIAAEhnsmeXevaU/vxTGjVKKlXq9H2W09SihVS+vDR2rCevCUiPCJQAAADSqSxZpE6dpLVrPestWXDktWaN1L69dNVV0vvvS8eO+bOlQNojUAIAAEjnMmaUWreWVq+Wpk3z5Cx5bdwoPfigdMUV0ltvSYcO+bOlQNohUAIAAIBvsdrGjaUffpDmzZNuueV0x/z9t/TEE1KJEtKLL0r//kunIbQRKAEAAOCMgMkWp7Wy4paz1LLl6fssQLJS4xYwPfmkJ4ACQlHAB0r9+/dX1apVlTNnThUsWFDNmzfXunXr/N0sAACAdKFKFWniRE/O0j33eKbpGZuC9+ab0uWXS926eaboAaEk4AOl+fPnq3v37lq6dKlmzpypEydO6JZbbtHhw4f93TQAAIB045prpDFjpPXrpYceksLDPcejoqRhwzyV8zp0kH77zd8tBdJJoDR9+nTde++9Klu2rCpUqKDRo0dry5YtWrlypb+bBgAAkO7YCNJ773lGkHr3li66yHP81Cnpk0+ksmU9U/UiIvzdUiDEA6X4IiMj3dd8+fIleH9UVJQOHDgQZwMAAEDKKlJEeuMNz+K1/frZe7PT902eLFWtKjVsaLODpJgYeh/BJ6gCpejoaD366KOqXbu2ypUrl2hOU+7cuX1bsWLF0rydAAAA6YUFSM895wmYrHy4BVBe338v1a0r1akjffMNAROCS1AFSpar9Ouvv2q8rYiWiD59+rhRJ++2devWNG0jAABAemRT8Hr1kv76y7NAra275LV4sdSkiVSpkvT5555pekCgC5pA6eGHH9a0adM0d+5cXXrppYmeFx4erly5csXZAAAAkDayZpW6dpWsSPGnn3pylrx++klq00YqU0b68ENPIQggUAV8oBQTE+OCpMmTJ2vOnDm63DIIAQAAENAyZZLatZN+/lmaMsWTs+RllfO6dMmgsmULqlmzMA0dKm3Y4M/WAkEYKNl0u08//VTjxo1zaynt3LnTbUePHvV30wAAAHAOGTJIzZpJy5ZJs2ZJN910+r7DhzNo2rQwPfywp7x4yZKeNZmmTpUOHqRr4V8BHygNGzbM5RrVrVtXRYoU8W2f2wRXAAAABIWwMKl+fWn2bGnJElu8NkYXXxw3Wcnym2xNJgusrEiEFYLo319atcqKevmt6UinMikIpt4BAAAgdNSoIVWrFqOdO/fo778LaubMDJoxQ/rhB+nECc85J096Sovb9vTTUsGC0i23eEqO21fbB9J1oAQAAIDQnZZnlfAqV5aeesoz3W7ePGn6dLnA6c8/T5+7e7enOIRtxh5nQdOtt0o1a0pZsvjtv4EQRaAEAACAgJAzp9S0qWczFihZwGTbnDnSoUOnz/3xR8/22mue0uSW+2SBk22W6wRcKAIlAAAABCRvcQfbjh/3rMfkDZwsSPKyAMoKQNjmfZyNNFnQVK+eJ5ACQq6YAwAAAGBT62IXd9i5U/rkE6l9e6lAgbj9YyNRVnL89ts9RSEsWLKRp9WrKQqBpCNQAgAAQNApVMgTJFmwZEHTypXSq69KN97oWcPJy4pDWN5Tnz6evKaiRaUOHaSxYz15T0BimHoHAACAoC8Kcd11ns0CIisKMXeuZ4qeFYawsuNeu3Z5givbjD3GpujdfLNUvryUP7/f/hsIMARKAAAACLmiEDbtzjazYUPcohCHD58+16bx2WZT+oyVHS9TRrrmmrhfixTxrAWF9INACQAAACHtyis9W/fup4tCeEuQW95SbDYdzzZbvym23LkTDqBKlPCMaCH0ECgBAAAg3RWFsM0KPFh+08yZ0tKl0tq10m+/eabnxRcZ6TnHttiyZZNKlz4ziLLKe5kzp9l/C6mAQAkAAADpVuHC0j33eDavf//1BE3ewMn7dcuWMx9/9OjpNZ1isyCpVKkzA6irrvIEVwh8BEoAAABALFZSvHZtzxabrdf0++9nBlBWjjw6Ou65Vm3P7rNt4sTTxy3P6YorzgygbFQqVy5+DYGEQAkAAABIAlu4tkoVzxZbVJS0fn3c4Mm+rlvnyYmKLSbGE1jZNm1a3PsuvdQTOJUuHaYCBbK7vCorZ26jXlZMwopUUFAi7RAoAQAAABcgPFwqV86zxXbypLRx45kBlG2xK+95bdvm2WbOtPJ6Zw4v2ZQ9C5q8mwVPsfe9x6xyn+Vi4cIQKAEAAACpwBa+tTwl25o1O33cpulZQBQ/gLKv+/Yl/v0sH8oCL9vOxdaDSkpQlTcvo1SJIVACAAAA0pCVEy9e3LPdemvcaXlWmnzNmmj99tsBHT2aS7t2ZXCV+Wz7+2/PVys2cS5793q2NWvOfp4VnThXQFWokJQnj2fqX3qq5EegBAAAAAQAyz+yoKRAASvwcEwFC+ZKcI0my4mygCp+ABV/s+PHjp39Z1rRia1bPVtSZMvmKTrh3Wx9qdj7Sd1sumKgI1ACAAAAgogFGcWKebazsRGqAwcSDqDiH7PAy84/l6NHPVtCa00l9/+Q3ODKgjIrqHHiREYXsNl+aiJQAgAAAEJ0hMqCCduuvvrs51rhiT17Eg6qdu/2BFzxN1uEN35Z9KSyUTH7ebYljw2xFdCAAdF6/HGlKgIlAADOw9ChQ/Xmm29q586dqlChggYPHqxq1arRlwCCtvCE5SfZllQxMdKRIwkHUYltFlwldMwCteSwfKnURqAEAEAyff755+rVq5eGDx+u6tWra9CgQWrYsKHWrVunglaXFwDSyYhVjhyeLTkBVkIBl40wJSWwioyM0e7dx1S6dOonOREoAQCQTAMHDlSXLl103333uX0LmL755ht9+OGHeuqpp+hPAEhmwJU1q2c712dN0dEWKEWmyYdSBEoAACTD8ePHtXLlSvXp08d3LEOGDGrQoIGWLFmS4GOioqLc5nXAPhZ1F/xotwUza39MTEzQ/z9SC/1D3/C8Cay/qeQ8jkAJAIBk+Oeff3Tq1CkVshq+sdj+77//nuBj+vfvr379+p1xfM+ePTp2rtq9Ac7edERGRro3LhYwgv7hucPfVSC/5hw8eDDJ5xIoAQCQymz0yXKaYo8oFStWTAUKFFAuq3kb5G9awsLC3P+FQIn+4bnD31Wgv+Zktfl9SUSgBABAMlx88cXKmDGjdsVbRMT2C9sS9gkIDw93W3x2kQ+F4MLetITK/yU10D/0Dc+bwPmbSs5jeEUDACAZsmTJosqVK2v27NlxPuG0/Zo1a9KXABAiGFECACCZbBpdx44dVaVKFbd2kpUHP3z4sK8KHgAg+BEoAQCQTK1bt3aFGJ577jm34GzFihU1ffr0Mwo8AACCF4ESAADn4eGHH3YbACA0kaMEAAAAAPEQKAEAAABAPARKAAAAABCMgdLQoUN12WWXuQWiqlevruXLl/u7SQAAAABCWMAHSp9//rkrw/r8889r1apVqlChgho2bKjdu3f7u2kAAAAAQlTAB0oDBw5Uly5d3NoU11xzjYYPH67s2bPrww8/9HfTAAAAAISogC4Pfvz4ca1cuVJ9+vTxHcuQIYMaNGigJUuWJPiYqKgot3lFRka6rwcOHEiDFgMAvLyvuzExMXRKPN4+CYVrU3R0tA4ePOimx9s1GvQPzx3+rgL5NSc516aADpT++ecfnTp16owF/Gz/999/T/Ax/fv3V79+/c44XqxYsVRrJwAgcXZBy507N10Ur08M1yYACNxrU0AHSufDRp8spyl21Pnvv/8qf/78CgsLO6+o0y5kW7duVa5cuVK4taGP/qP/eP6l379f+7TOLkRFixZNlfYFM+sT69ecOXOe17UpkPA6T//w3OHvKlSvTQEdKF188cXKmDGjdu3aFee47RcuXDjBx4SHh7sttjx58lxwW+wXQaBE//kLzz/6L1iff4wkJcymi1x66aUKJbxO0T88d/i7CrVrU0BPJs6SJYsqV66s2bNnxxkhsv2aNWv6tW0AAAAAQldAjygZm0bXsWNHValSRdWqVdOgQYN0+PBhVwUPAAAAANJloNS6dWvt2bNHzz33nHbu3KmKFStq+vTpZxR4SC02jc/WcIo/nQ/0H8+/wMffL/0H/s78jdch+obnTfD+TYXFULcVAAAAAIInRwkAAAAA/IFACQAAAADiIVACAAAAgHgIlAAAAAAgHgKlRCxYsEBNmzZ1q/baqulTpkxJ7FQkoH///qpatapbdb5gwYJq3ry51q1bR18l0bBhw1S+fHnfYmq2bth3331H/52n1157zf0dP/roo/RhErzwwguuv2JvpUuXpu8QB6/zvAadr+3bt6t9+/bKnz+/smXLpmuvvVYRERHp/i/s1KlT6tu3ry6//HLXLyVLltRLL72k9Fp3bcE53otbv1hV7CJFirj+atCggdavX5+ibSBQSoSt1VShQgUNHTo0RTs8vZg/f766d++upUuXaubMmTpx4oRuueUW1684t0svvdS9uV+5cqW7eNx0001q1qyZ1qxZQ/cl04oVK/T++++7wBNJV7ZsWf3999++bdGiRXQf4uB1nteg87Fv3z7Vrl1bmTNndh8A/vbbb3rrrbeUN2/edP8X9vrrr7sPSocMGaK1a9e6/TfeeEODBw9Ol31z+Bzvxa1v3n33XQ0fPlzLli1Tjhw51LBhQx07dizlGmHlwXF21k2TJ0+mmy7A7t27XT/Onz+ffjxPefPmjfnggw/ov2Q4ePBgTKlSpWJmzpwZc+ONN8Y88sgj9F8SPP/88zEVKlSgr5AsvM7zGpQU//vf/2Lq1KnDX1cCGjduHNOpU6c4x1q2bBnTrl27dN9fivdePDo6OqZw4cIxb775pu/Y/v37Y8LDw2M+++yzFOsvRpSQJiIjI93XfPny0ePnMRQ/fvx498mKTcFD0tmoZuPGjd1wPJLHpi/YdIcrrrhC7dq105YtW+hCnBWv87wGJcXUqVNVpUoV3XnnnW5qfqVKlTRy5Ej+uiTVqlVLs2fP1h9//OH646effnKj+Y0aNaJ/4tm4caN27twZ5/qeO3duVa9eXUuWLFFKyZRi3wlIRHR0tMsNsaH2cuXK0U9J9Msvv7jAyIaQL7roIk2ePFnXXHMN/ZdEFlyuWrXKTb1D8tiFZvTo0br66qvdtLt+/frp+uuv16+//uryDoH4eJ3nNSip/vrrLze9rFevXnr66afda3TPnj2VJUsWdezYMV3/cT311FM6cOCAywnNmDGj+6D0lVdecR9WIS4LkkyhQoXiHLd9730pgUAJafKpvr3BIscheexN6urVq92ntF9++aW7gFhOAMHSuW3dulWPPPKIy4/LmjXreT5z06/Yn15abpcFTiVKlNCECRPUuXNnv7YNgYnX+bh4DTp7UG0jSq+++qrbtxEle49geSbpPVCy19ixY8dq3LhxLk/U3gPYB802up/e+8ZfCJSQqh5++GFNmzbNVS6xAgVIOvt07corr3S3K1eu7D51e+edd1xhApydFcHYvXu3rrvuOt8x+2TOnoeWJBsVFeU+rUPS5MmTR1dddZU2bNhAl+EMvM7zGpQcVqEs/gd+ZcqU0cSJE9P9X1fv3r3dqFKbNm1cX1g1wM2bN7sKkwRKcRUuXNh93bVrl3tOedl+xYoVlVLIUUKqsBoYdvG06WJz5sxxpS5x4Z/C2Rt8nFv9+vXd1EX7NM672SeYNn3BbhMkJc+hQ4f0559/xrkYAbzO8xp0PmwafvzlQiwnx0at07sjR44oQ4a4b83temXXf8Rl7ystWLKcLi+btmjV71Iyn5sRpbO8MYj96akljdkbLCtGULx48RT7BYTyNAwbOv7qq69cToN3vqgl2lmte5xdnz593PQne64dPHjQ9eW8efM0Y8YMui4J7DkXPx/Oyobamh3kyZ3bE0884dausDcuO3bs0PPPP+8u1m3btuX5B17neQ26II899pgrWmBT7+666y4tX75cI0aMcFt6Z6+7lpNk136bevfjjz9q4MCB6tSpk9KjQ+d4L27TEl9++WWVKlXKBU62BpVNU7S1O1NMuq83mIi5c+e6UoTxt44dO9JlSZBQ39n20Ucf0X9JYOVBS5QoEZMlS5aYAgUKxNSvXz/m+++/p+8uAOXBk65169YxRYoUcc+/Sy65xO1v2LCB5x/i4HWe16Dz9fXXX8eUK1fOlXIuXbp0zIgRI/jriomJOXDggFvGonjx4jFZs2aNueKKK2KeeeaZmKioqHTZP3PP8V7cSoT37ds3plChQu65ZO+V1q1bl6JtCLN/Ui7sAgAAAIDgR44SAAAAAMRDoAQAAAAA8RAoAQAAAEA8BEoAAAAAEA+BEgAAAADEQ6AEAAAAAPEQKAEAAABAPARKAAAAABAPgRIAAABSXVhYmKZMmUJPI2gQKAEAAIS4e++91wUq8bdbb73V300DAlYmfzcAAAAAqc+Coo8++ijOsfDwcLoeSAQjSkCA2bNnjwoXLqxXX33Vd2zx4sXKkiWLZs+e7de2AQCClwVFdn2JveXNm9fdZ6NLw4YNU6NGjZQtWzZdccUV+vLLL+M8/pdfftFNN93k7s+fP7+6du2qQ4cOxTnnww8/VNmyZd3PKlKkiB5++OE49//zzz9q0aKFsmfPrlKlSmnq1Klp8D8Hzg+BEhBgChQo4C40L7zwgiIiInTw4EHdc8897mJTv359fzcPABCi+vbtq1atWumnn35Su3bt1KZNG61du9bdd/jwYTVs2NAFVitWrNAXX3yhWbNmxQmELNDq3r27C6AsqLIg6Morr4zzM/r166e77rpLP//8s2677Tb3c/799980/78CSREWExMTk6QzAaQpu9jYRahKlSrugmMXJqZIAADON0fp008/VdasWeMcf/rpp91mI0oPPvigC3a8atSooeuuu07vvfeeRo4cqf/973/aunWrcuTI4e7/9ttv1bRpU+3YsUOFChXSJZdcovvuu08vv/xygm2wn/Hss8/qpZde8gVfF110kb777jtypRCQyFECAtSAAQNUrlw596ndypUrCZIAABekXr16cQIhky9fPt/tmjVrxrnP9levXu1u28hShQoVfEGSqV27tqKjo7Vu3ToXBFnAdK6ZD+XLl/fdtu+VK1cu7d69m98sAhKBEhCg/vzzT3fRsYvQpk2bdO211/q7SQCAIGaBSfypcCnF8paSInPmzHH2LcCy6xwQiMhRAgLQ8ePH1b59e7Vu3dpNUbj//vv5xA0AkKqWLl16xn6ZMmXcbftquUs2Xc7rhx9+UIYMGXT11VcrZ86cuuyyyyg6hJDCiBIQgJ555hlFRkbq3XffdfO3bR54p06dNG3aNH83DQAQpKKiorRz5844xzJlyqSLL77Y3bap3pYXW6dOHY0dO1bLly/XqFGj3H1WdOH5559Xx44dXbEhq9Dao0cPV2zI8pOMHbc8p4IFC7rqeVaMyIIpOw8IRowoAQFm3rx5GjRokD755BM3d9s+rbPbCxcuPGNuOQAASTV9+nRXsjv2ZkFR7Ip048ePd3lEY8aM0WeffaZrrrnG3WflvGfMmOEq1FWtWlV33HGHy0caMmSI7/EWRNn1y4o/WInwJk2aaP369fyCELSoegcAAJDOWa7Q5MmT1bx5c383BQgYjCgBAAAAQDwESgAAAAAQD8UcAAAA0rmYmBh/NwEIOIwoAQAAAEA8BEoAAAAAEA+BEgAAAADEQ6AEAAAAAPEQKAEAAABAPARKAAAAABAPgRIAAAAAxEOgBAAAAACK6/9Y7tBiVL6i1AAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.ion()\n", "\n", "# Hyperparameters\n", "learning_rate = 0.01\n", "num_epochs = 10\n", "\n", "# Parameters (requires_grad=True enables autograd)\n", "w = torch.tensor(0.0, requires_grad=True)\n", "b = torch.tensor(0.0, requires_grad=True)\n", "\n", "print(f\"Initial: w={w.item():.4f}, b={b.item():.4f}\")\n", "\n", "# Training loop\n", "for epoch in range(num_epochs):\n", " # \"Forward pass\": compute predictions\n", " y_pred = w * x + b\n", " \n", " # Compute loss (MSE)\n", " loss = ((y_pred - y) ** 2).mean()\n", " \n", " # Backward pass: compute gradients with autograd\n", " loss.backward()\n", " \n", " # Manual gradient descent update\n", " with torch.no_grad(): # Don't track these operations in autograd\n", " w -= learning_rate * w.grad\n", " b -= learning_rate * b.grad\n", " \n", " # zero out the gradients for next iteration\n", " w.grad.zero_()\n", " b.grad.zero_()\n", " \n", " # Show progress\n", " print(f\"Epoch {epoch+1:3d}: Loss={loss.item():.4f}, w={w.item():.4f}, b={b.item():.4f}\")\n", "\n", " plt.figure(figsize=(10, 5))\n", " \n", " # Left plot: Current fit\n", " plt.subplot(1, 2, 1)\n", " sns.scatterplot(x=x_np, y=y_np, s=100, color='blue')\n", " # plt.plot(x_np, y_np, 'r--', alpha=0.5, label='True line (y=3x+2)')\n", " plt.plot(x_np, y_pred.detach().numpy(), 'g-', linewidth=2, label=f'Current fit (y={w.item():.2f}x+{b.item():.2f})')\n", " plt.xlabel('x')\n", " plt.ylabel('y')\n", " plt.title(f'Epoch {epoch+1}/{num_epochs}')\n", " plt.ylim(0, 18)\n", " \n", " # Right plot: Loss over time\n", " if epoch == 0:\n", " loss_history = [loss.item()]\n", " else:\n", " loss_history.append(loss.item())\n", " \n", " plt.subplot(1, 2, 2)\n", " plt.plot(range(1, len(loss_history)+1), loss_history, 'b-', linewidth=2)\n", " plt.xlabel('Epoch')\n", " plt.ylabel('Loss')\n", " plt.title('Training Loss')\n", " plt.grid(True, alpha=0.3)\n", " plt.show()\n", " import time\n", " time.sleep(1)\n", " " ] }, { "cell_type": "markdown", "id": "8df6391b", "metadata": {}, "source": [ "## Part 1: Load CIFAR-10 and Display Sample Images" ] }, { "cell_type": "code", "execution_count": 13, "id": "cf68ead8", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Define CIFAR-10 class names\n", "classes = ('plane', 'car', 'bird', 'cat', 'deer', 'dog', 'frog', 'horse', 'ship', 'truck')\n", "\n", "# Normalize the data to (-1, 1)\n", "transform = transforms.Compose([\n", " transforms.ToTensor(),\n", " transforms.Normalize(mean=(0.5, 0.5, 0.5), std=(0.5, 0.5, 0.5))\n", "])\n", "\n", "# Load CIFAR-10\n", "cifar10_train = torchvision.datasets.CIFAR10(\n", " root='./data', train=True, download=True, transform=transform\n", ")\n", "\n", "# Use a small subset for faster training\n", "subset_size = 2000 # Small subset for demonstration\n", "indices = torch.randperm(len(cifar10_train))[:subset_size]\n", "data_subset = torch.utils.data.Subset(cifar10_train, indices)\n", "\n", "# Display one image from each class\n", "fig, axes = plt.subplots(2, 5, figsize=(14, 6))\n", "axes = axes.flatten()\n", "\n", "# Create a dictionary to track which classes we've seen\n", "class_indices = {i: None for i in range(len(classes))}\n", "\n", "# Find one image from each class\n", "for idx, (image, label) in enumerate(data_subset):\n", " if class_indices[label] is None:\n", " class_indices[label] = idx\n", " if all(v is not None for v in class_indices.values()):\n", " break\n", "\n", "# Plot one image from each class\n", "for class_idx in range(len(classes)):\n", " image, label = data_subset[class_indices[class_idx]]\n", " # Denormalize for display: multiply by std and add mean\n", " image = image * 0.5 + 0.5 # undo normalization\n", " image = image.permute(1, 2, 0).numpy() # Convert to HWC format\n", " axes[class_idx].imshow(image)\n", " axes[class_idx].set_title(f'{classes[label]}')\n", " axes[class_idx].axis('off')\n", "\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "4a4ffec0-5f9c-41ba-875f-53fdf3896d10", "metadata": {}, "source": [ "**Question**: Suppose we're trying to learn a linear classifier for 10 classes that takes raw RGB pixels as input.\n", "* What is the size of the weight matrix $W$?\n", "* What is the size of the bias vector $b$?\n", "* How many **parameters** does the model have?" ] }, { "cell_type": "code", "execution_count": 14, "id": "1c1b7ae2-b3c2-400c-b4e0-111327393722", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "torch.Size([3, 32, 32])" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data_subset[0][0].shape # an input datapoint (image)" ] }, { "cell_type": "code", "execution_count": 17, "id": "a7e59e57-1453-4a11-90e6-3df867b33d2d", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3072" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "3 * 32 * 32" ] }, { "cell_type": "markdown", "id": "c00e2b65", "metadata": {}, "source": [ "## Part 2: Linear Classifier (Single-layer Neural Network)" ] }, { "cell_type": "code", "execution_count": 20, "id": "e05b9f12", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Linear model created:\n", "LinearClassifier(\n", " (fc): Linear(in_features=3072, out_features=10, bias=True)\n", ")\n", "Number of parameters: 30,730\n" ] } ], "source": [ "# Define a simple linear classifier\n", "class LinearClassifier(nn.Module):\n", "\n", " # the constructor initializes the \"layers\" - in this case, \n", " # just one \"fully connected\" or linear layer\n", " def __init__(self, input_size=3*32*32, num_classes=10):\n", " super(LinearClassifier, self).__init__()\n", " self.fc = nn.Linear(input_size, num_classes) # our only layer\n", " \n", " def forward(self, x):\n", " x = x.view(x.size(0), -1) # unroll the pixels into a vector\n", " \n", " # Apply linear layer to get y (raw un-normalized scores)\n", " x = self.fc(x)\n", " return x\n", "\n", "# Create model and move to device\n", "linear_model = LinearClassifier().to(device)\n", "print(f'Linear model created:')\n", "print(linear_model)\n", "print(f'Number of parameters: {sum(p.numel() for p in linear_model.parameters()):,}')" ] }, { "cell_type": "code", "execution_count": 21, "id": "67dfbbe8-b20d-47bc-b6a6-81123f841be5", "metadata": {}, "outputs": [], "source": [ "def train_model(model, dataset, num_epochs=10, batch_size=128, learning_rate=0.01):\n", "\n", " # takes care of loading data and creating batches for us\n", " loader = DataLoader(dataset, batch_size=batch_size, shuffle=True) \n", "\n", " # calculates softmax + cross-entropy loss for us:\n", " loss_fn = nn.CrossEntropyLoss()\n", "\n", " # takes care of the gradient updates for us:\n", " optimizer = optim.SGD(model.parameters(), lr=learning_rate)\n", "\n", " # we'll track some history:\n", " train_losses = []\n", " train_accuracy = []\n", "\n", " for epoch in range(num_epochs):\n", " model.train() # set model to \"Train\" mode\n", " total_loss = 0.0\n", " num_batches = 0\n", " num_correct = 0\n", " \n", " for batch_idx, (images, labels) in enumerate(loader):\n", " # Move data to device\n", " images = images.to(device)\n", " labels = labels.to(device)\n", " \n", " # Forward pass\n", " outputs = model(images) # compute the model outputs\n", " loss = loss_fn(outputs, labels) # calculate the loss\n", " \n", " # Backward pass and optimization\n", " optimizer.zero_grad() # Clear old gradients\n", " loss.backward() # Compute gradients\n", " optimizer.step() # Update parameters\n", " \n", " total_loss += loss.item()\n", " num_batches += 1\n", "\n", " # calculate accuracy\n", " _, predicted = torch.max(outputs.data, 1)\n", " num_correct += (predicted == labels).sum().item()\n", " \n", " avg_loss = total_loss / num_batches\n", " train_losses.append(avg_loss)\n", "\n", " avg_acc = num_correct / len(dataset)\n", " train_accuracy.append(avg_acc)\n", " if epoch % 5 == 0:\n", " print(f'Epoch {epoch+1:2d}: Loss = {avg_loss:.4f}, Accuracy = {avg_acc:.4f}')\n", "\n", " return train_losses, train_accuracy" ] }, { "cell_type": "code", "execution_count": 22, "id": "94bef473", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Linear model created:\n", "LinearClassifier(\n", " (fc): Linear(in_features=3072, out_features=10, bias=True)\n", ")\n", "Number of parameters: 30,730\n", "Epoch 1: Loss = 2.1366, Accuracy = 0.2370\n", "Epoch 6: Loss = 1.8165, Accuracy = 0.4045\n", "Epoch 11: Loss = 1.7216, Accuracy = 0.4425\n", "Epoch 16: Loss = 1.6588, Accuracy = 0.4780\n", "Epoch 21: Loss = 1.6092, Accuracy = 0.4965\n", "Epoch 26: Loss = 1.5720, Accuracy = 0.5065\n", "Epoch 31: Loss = 1.5368, Accuracy = 0.5215\n", "Epoch 36: Loss = 1.5011, Accuracy = 0.5435\n", "Epoch 41: Loss = 1.4748, Accuracy = 0.5490\n", "Epoch 46: Loss = 1.4525, Accuracy = 0.5610\n", "Linear Classifier - Final Accuracy: 0.56%\n" ] } ], "source": [ "# Train the linear classifier\n", "\n", "# Create model and move to device\n", "linear_model = LinearClassifier().to(device)\n", "print(f'Linear model created:')\n", "print(linear_model)\n", "print(f'Number of parameters: {sum(p.numel() for p in linear_model.parameters()):,}')\n", "\n", "linear_train_losses, linear_train_accs = train_model(\n", " linear_model, data_subset, \n", " num_epochs=50, \n", " batch_size=128, \n", " learning_rate=0.01\n", ")\n", "\n", "print(f'Linear Classifier - Final Accuracy: {linear_train_accs[-1]:.2f}%')" ] }, { "cell_type": "code", "execution_count": 23, "id": "a359acd5", "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize linear classifier training\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", "\n", "# Plot 1: Training loss\n", "ax = axes[0]\n", "ax.plot(linear_train_losses, marker='o', linewidth=2, markersize=4)\n", "ax.set_xlabel('Epoch', fontsize=12)\n", "ax.set_ylabel('Training Loss', fontsize=12)\n", "ax.set_title('Linear Classifier: Training Loss', fontsize=13, fontweight='bold')\n", "ax.grid(True, alpha=0.3)\n", "\n", "# Plot 2: Accuracy\n", "ax = axes[1]\n", "ax.plot(linear_train_accs, marker='o', linewidth=2, markersize=4, color='tab:orange')\n", "ax.set_xlabel('Epoch', fontsize=12)\n", "ax.set_ylabel('Training Accuracy', fontsize=12)\n", "ax.set_title('Linear Classifier: Training Accuracy', fontsize=13, fontweight='bold')\n", "ax.grid(True, alpha=0.3)\n", "ax.set_ylim([0, 1])\n", "\n", "plt.tight_layout()\n", "plt.savefig('linear_classifier_training.png', dpi=100, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8ad5d769", "metadata": {}, "source": [ "## Part 3: Multi-Layer Perceptron (MLP) Classifier" ] }, { "cell_type": "code", "execution_count": 24, "id": "f5a3e43d", "metadata": {}, "outputs": [], "source": [ "# Define a multi-layer perceptron\n", "class MLPClassifier(nn.Module):\n", " def __init__(self, input_size=3*32*32, hidden_sizes=[512, 256], num_classes=10):\n", " super(MLPClassifier, self).__init__()\n", " \n", " layers = []\n", " prev_size = input_size\n", " \n", " # Hidden layers with ReLU activation\n", " for hidden_size in hidden_sizes:\n", " layers.append(nn.Linear(prev_size, hidden_size))\n", " layers.append(nn.ReLU())\n", " prev_size = hidden_size\n", " \n", " # Output layer\n", " layers.append(nn.Linear(prev_size, num_classes))\n", " \n", " self.network = nn.Sequential(*layers)\n", " \n", " def forward(self, x):\n", " # Flatten the input\n", " x = x.view(x.size(0), -1)\n", " # Pass through network\n", " x = self.network(x)\n", " return x\n", "\n" ] }, { "cell_type": "code", "execution_count": 25, "id": "9eefe697", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MLP model created:\n", "MLPClassifier(\n", " (network): Sequential(\n", " (0): Linear(in_features=3072, out_features=512, bias=True)\n", " (1): ReLU()\n", " (2): Linear(in_features=512, out_features=256, bias=True)\n", " (3): ReLU()\n", " (4): Linear(in_features=256, out_features=10, bias=True)\n", " )\n", ")\n", "Number of parameters: 1,707,274\n", "Training MLP Classifier...\n", "==================================================\n", "Epoch 1: Loss = 2.2412, Accuracy = 0.1920\n", "Epoch 6: Loss = 1.7231, Accuracy = 0.4160\n", "Epoch 11: Loss = 1.4202, Accuracy = 0.5205\n", "Epoch 16: Loss = 1.0770, Accuracy = 0.6710\n", "Epoch 21: Loss = 0.8201, Accuracy = 0.7630\n", "Epoch 26: Loss = 0.6024, Accuracy = 0.8270\n", "Epoch 31: Loss = 0.4648, Accuracy = 0.8900\n", "Epoch 36: Loss = 0.1478, Accuracy = 0.9795\n", "Epoch 41: Loss = 0.3919, Accuracy = 0.9270\n", "Epoch 46: Loss = 0.0446, Accuracy = 0.9990\n", "==================================================\n", "MLP Classifier - Final Train Accuracy: 1.00%\n" ] } ], "source": [ "# Create MLP model and move to device\n", "mlp_model = MLPClassifier(input_size=3*32*32, hidden_sizes=[512, 256], num_classes=10).to(device)\n", "print(f'MLP model created:')\n", "print(mlp_model)\n", "print(f'Number of parameters: {sum(p.numel() for p in mlp_model.parameters()):,}')\n", "print('Training MLP Classifier...')\n", "print('='*50)\n", "\n", "# Train the MLP classifier\n", "mlp_train_losses, mlp_train_accs = train_model(\n", " mlp_model, data_subset,\n", " num_epochs=50, \n", " batch_size=128, \n", " learning_rate=0.1\n", ")\n", "\n", "print('='*50)\n", "print(f'MLP Classifier - Final Train Accuracy: {mlp_train_accs[-1]:.2f}%')" ] }, { "cell_type": "code", "execution_count": 26, "id": "9aad8c7f", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Visualize MLP classifier training\n", "fig, axes = plt.subplots(1, 2, figsize=(12, 4))\n", "\n", "# Plot 1: Training loss\n", "ax = axes[0]\n", "ax.plot(mlp_train_losses, marker='o', linewidth=2, markersize=4)\n", "ax.set_xlabel('Epoch', fontsize=12)\n", "ax.set_ylabel('Training Loss', fontsize=12)\n", "ax.set_title('MLP Classifier: Training Loss', fontsize=13, fontweight='bold')\n", "ax.grid(True, alpha=0.3)\n", "\n", "# Plot 2: Train accuracy\n", "ax = axes[1]\n", "ax.plot(mlp_train_accs, marker='o', linewidth=2, markersize=4, color='tab:orange')\n", "ax.set_xlabel('Epoch', fontsize=12)\n", "ax.set_ylabel('Train Accuracy (%)', fontsize=12)\n", "ax.set_title('MLP Classifier: Train Accuracy', fontsize=13, fontweight='bold')\n", "ax.grid(True, alpha=0.3)\n", "ax.set_ylim([0, 1])\n", "\n", "plt.tight_layout()\n", "plt.savefig('mlp_classifier_training.png', dpi=100, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a4effddd-2a31-4168-b3ab-99c0f68cfdc1", "metadata": {}, "source": [ "## Wow, we crushed it!!" ] }, { "cell_type": "markdown", "id": "0fb92587-45e5-454f-958b-8e88618e82d8", "metadata": {}, "source": [ "Let's see how this model does on some more CIFAR10 images!" ] }, { "cell_type": "code", "execution_count": 27, "id": "bf42ea94-5379-4e7b-9bdd-a4af84a5baee", "metadata": {}, "outputs": [], "source": [ "# Load CIFAR-10 test data\n", "cifar10_test = torchvision.datasets.CIFAR10(\n", " root='./data', train=False, download=True, transform=transform\n", ")\n", "\n", "# Use a small subset for faster training\n", "subset_size = 2000 # Small subset for demonstration\n", "indices = torch.randperm(len(cifar10_test))[:subset_size]\n", "test_subset = torch.utils.data.Subset(cifar10_test, indices)\n" ] }, { "cell_type": "code", "execution_count": 28, "id": "0b5d692c-57fb-4e6f-9f80-b52df7fbfeb2", "metadata": {}, "outputs": [], "source": [ "\n", "def evaluate_model(model, dataset, batch_size=128):\n", " loader = DataLoader(dataset, batch_size=batch_size, shuffle=False)\n", " model.eval()\n", " \n", " num_correct = 0\n", " num_samples = 0\n", " with torch.no_grad():\n", " for images, labels in loader:\n", " images = images.to(device)\n", " labels = labels.to(device)\n", " \n", " outputs = model(images)\n", " _, predicted = torch.max(outputs, 1)\n", " \n", " num_correct += (predicted == labels).sum().item()\n", " num_samples += labels.size(0)\n", " \n", " accuracy = num_correct / num_samples\n", " return accuracy\n" ] }, { "cell_type": "code", "execution_count": 29, "id": "1f989ff4-9b3e-4153-b125-3ebedb7bbdce", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Linear model evaluation accuracy: 0.348\n" ] } ], "source": [ "print(\"Linear model evaluation accuracy:\", evaluate_model(linear_model, test_subset))" ] }, { "cell_type": "markdown", "id": "325b22a5-8275-4515-9b09-910bcfb76b6c", "metadata": {}, "source": [ "Hmm... I thought we we had over 50% accuracy!\n", "\n", "What about the MLP?" ] }, { "cell_type": "code", "execution_count": 30, "id": "6703a3e2-70d9-4e41-9ba0-3937209ce931", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MLP evaluation accuracy: 0.396\n" ] } ], "source": [ "print(\"MLP evaluation accuracy:\", evaluate_model(mlp_model, test_subset))" ] }, { "cell_type": "markdown", "id": "c8fe2128-f394-4331-b33f-ec3a674eeefe", "metadata": {}, "source": [ "uh oh..." ] }, { "cell_type": "markdown", "id": "ed2ff965-4909-4db4-90ec-2245a78e8ae8", "metadata": {}, "source": [ "What we're seeing here is that our models are failing to **generalize**." ] } ], "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": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 5 }