catsanddogs.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## This notebook is for doing [dogs and cats challenge](https://www.kaggle.com/c/dogs-vs-cats-redux-kernels-edition)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.4.1\n"
     ]
    }
   ],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.optim as optim\n",
    "from torch.optim import lr_scheduler\n",
    "import numpy as np\n",
    "import torchvision\n",
    "from torchvision import datasets, models, transforms\n",
    "import matplotlib.pyplot as plt\n",
    "import time\n",
    "import os\n",
    "import copy\n",
    "import math\n",
    "\n",
    "print(torch.__version__)\n",
    "plt.ion()   # interactive mode"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['cats', 'dogs']\n",
      "Train image size: 950\n",
      "Validation image size: 71\n"
     ]
    }
   ],
   "source": [
    "# Data augmentation and normalization for training\n",
    "# Just normalization for validation\n",
    "data_transforms = {\n",
    "    'train': transforms.Compose([\n",
    "        transforms.RandomRotation(5),\n",
    "        transforms.RandomHorizontalFlip(),\n",
    "        transforms.RandomResizedCrop(224, scale=(0.96, 1.0), ratio=(0.95, 1.05)),\n",
    "        transforms.ToTensor(),\n",
    "        transforms.Normalize([0.485, 0.456, 0.406], [0.229, 0.224, 0.225])\n",
    "    ]),\n",
    "    'val': transforms.Compose([\n",
    "        transforms.Resize([224,224]),\n",
    "        transforms.ToTensor(),\n",
    "        transforms.Normalize([0.485, 0.456, 0.406], [0.229, 0.224, 0.225])\n",
    "    ]),\n",
    "}\n",
    "\n",
    "data_dir = 'data'\n",
    "CHECK_POINT_PATH = 'checkpoint.tar'\n",
    "SUBMISSION_FILE = 'submission.csv'\n",
    "image_datasets = {x: datasets.ImageFolder(os.path.join(data_dir, x),\n",
    "                                          data_transforms[x])\n",
    "                  for x in ['train', 'val']}\n",
    "dataloaders = {x: torch.utils.data.DataLoader(image_datasets[x], batch_size=4,\n",
    "                                              shuffle=True, num_workers=4)\n",
    "              for x in ['train', 'val']}\n",
    "dataset_sizes = {x: len(image_datasets[x]) for x in ['train', 'val']}\n",
    "class_names = image_datasets['train'].classes\n",
    "\n",
    "device = torch.device(\"cuda:0\" if torch.cuda.is_available() else \"cpu\")\n",
    "\n",
    "print(class_names)\n",
    "print(f'Train image size: {dataset_sizes[\"train\"]}')\n",
    "print(f'Validation image size: {dataset_sizes[\"val\"]}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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tDp1ui7weYyvF9n33Eochh0d7HAxuUFWO6WSM1hFSdsimE8Kgw8Z6j7Iy7N24zEP3PUg73aKd9MGVlOWcVrtDEKUMhldpJ2vESYpUEIYpa+01JlmfLJtQ144wWKXKCqa1wVRHZFmGV1DNZ0ymJf/v7/8aK2ur7G6f5eF7H0EIwdaZC2y/6SGmkzGVrTk+fDlWfR6fcaL33pvFFPL30Zjvn7xjpt/Lwjn3AgISsvEAVKBOXU5rbfOQLx7gF33/Cx9upU63OSRCNfKMVB6PWUQLIJVCa42SAqcNzlh2W2vMZjPyfE6QxuTWg4HSOzY2N+mvrPLkRx5jbTPl1rM3+Zq3PcTe7TFCJlRVidEeUzloB1SlJm6Fz3dUQpQm7N26StjdAprPrjx7hensGJXGrK5uIFDM5wVVVSEQaGvwTjEaeo6PJvRXEqbTMbPZnLJows0/DSQQKMm9F+9lMBySzWYYa1FKkcQR0kGoFOLk+i9uhrcQKoHFIwBjDV419wbXhMhRHOKrCm01Ugqck4BDCoGxhhs3rqOUIghDvHMYv4gCtCZQ4cIbbySe4+NjLpw/B/VCBhFQVhVKScIwxHj3/DhaENpJdHjixUoBekFks9mMbqdFp5vy3NVr9PorzIs5RV1Rj08spEcqhbdgpTuVS8Qi5AZPEsfgPNI1UWWSJBRFwXA45PDwkK2treZaJklDxtaiwui0rwhBFEa00pRsPqcsS9I0xflGsuv1+gwGx00EujgvrS3j8ZRWu70I558P6bXWOO8xxrDQdEhbafN9/o6IWUqqWhOGYWOIq7q5LwuDolQjnxhjUEqhlGqOCY23W5bESeORnkRQ8LxMqmvNbD7He8/6+gacSnkheVmxtzckbid0+6tUPoO6ka7Wz27RarXAO65c/TArvTXO7l5kPDwiCrv0VneYjgfcPLrCxtoua+ffxvTak4QqIuxt0W33mBxdo5oO2Nl+mEo6hK2o5jNmg9v0zz3MRnwfN2/f5Oq151AI6qLAOUs5yXAeVEuy0usiS0kchCStM4xHNf2NHfo7O6T9HoV14ELiqM90nLG60iGNdxiOjgBDb2WXo4Or1OWMKEyp6wyjFeWsQLqadqeHVjF1LZtnPJL4SLE/mvOxJ2/RbT1N+Bdi3vGl78QYwdFgQp7PFob0lT3fn3EslqZ90Ht/n/f+rv4vp6gtQlvCF8mCsrbIutnuFw/tibd24pWcePgnOHm4T34+pdYoHAiHx54eF0D6RpBXQjBzlioOGOOpAoVDEoQRBkEURexsrrPaSZlf32N+POBLv/RLmU9Loiglz3PCMKauLbZ2hNEn29TB0XGj5d1xFwbDAVqXpEmbdruDc1CVmrIsqeoKozW6rsiyOdoYkILpdEZd11gzI5sd383l/pSwdc1sPMbrmkAKAiBSilaU0IpiummLJAhpRRGBhUQGxEqhpER5MKaR1wQS75pAYl7nDGczalNTG4NzHikFkQoRgEIhWURUDqIwWhBNo6d6no8ejNUMBgPCMCQMglPiCcOANE1PCUhK+XzOZPH6xKM9GS93yhuTyQThDFI44jik1+0SBAF51ayAIE6dBoHHIZQgDNUiCmoeOCkkSIG7Yzx2ez36/T6tVovxeExd11R1fdovj0cqSRTHSNFo+lI0MuKJUbLGNpEn/gWOzQlJz2azxmi86Jnw3sMi4rXONXKNc2jvqK1BW9PIaN4TeknoBcqD9QbjNTJQBEHjfNzpVJ04Tifvq6o61bhP9m30fXPaLljcpxc6ZQ5J4yhMakOQhnTiAFPMwCnGkwmz+YxOdx1dZXjrmM1KXO25cf0yz15+EmRMUVQcDw+ZzQoqGzA7uMXe3g2cCpDJOkm7ze2D51BWUruQOFnDY7l89fd4+soHKMpjuv1NjId5PkcGAZ3+Op3uGttnziKTgN2LZ3FI9g8PGUwmhFFMp9+n0jV5PsCYkqqscdYyGN7CuYqynDPPJhwd7qF1jbE1gRK0WwlJHJKGEUpI8CC9x9WaUErSJKbKM7qtlO21Dm9+/ev5krd+IVVtsV5SGYuxAqNfGdG/GtLNnwpGeJSUWMHzGVnAe4UPIAoVX3T/64jTkJs3rnE4PKZCUSGwi4sVAFiHCxWnCQzZeDRKiFNClc6hnSdQAc6DDxyBc1gPBTXUJT70VKUhCtpsdCKqOmdlZZW1jRadYc0D57c5e3aLg/0bXBkUWBEyn47Jqoz1KGSlv8E0yyFOSco5Whq6yWJFWWeRRtG2jueufRy70kO6TRyeYqBBFKSpIgojKhdQ5hWlrgB/6mlluSDLMqKk8bDKsqKqK3Rd40RDNI1PJTlZUssJsFIhcI1H7ixykeMIlCQkInDgRYBSHoIIJRXKeXxt6Pf7eO8Zj0f0Wm2EgP7KKkVVMc8yQm+otMZgcTSJ2FIpkI7QSQgU0oNEEgYhYpEc814uEmyQBiGmrIjaMWCpS0Oe5yRpTFXmaK0Zjcc453EIklabsqwIgkZKsTTkcychnZCgsZxGbd57ojjm7Nlz3Lj+HKkSnFnpc/W559g5d4EAT6fVYjJoHAwhJWBRAmQocc40UaH3SBEivcXZxijVdY31ntB74rRFEEVorSnKkuF4TL/fbwgwCAiCiFY7PO2jjS1hGHJ0dIQKApSUp0lbpZoczIkRCxaa/XQ6pdfrnRq6ZjyUp8ZAL7T0uq4JwhBt9KlnHgqFdiVSBti6gsA3xkoKjGwMW200Kojxuj7NkZmFxKe1XiSjnzcwjXGBNAzZ3FzHuaZP3nuCUGF0I1k5J/A+4spT13l0t0/SWmdzc5Pc5pQmpxzXoDr04i2m4wmbZ3dIVERZj4hbsJnGdFXKPJsyuPr7kK7jfUDXOMb7Ba3WGvHqvVT2KYrsFqVxFL6DT1ucTS7S7XUJ0zbHRwdIBUU+Jor7dDYiqrJgcHyLKpfUuqS9skN7xXM8nHBmvU+qHNPxAElAb30D30so8jmBcuTZhI2tDerSEiUhgexRlyWHt65hjSWJO+RZga4rdJHjjKWVOKzTFHNPkQ3Z2Aj5pnd+E5/36NvQpcf4mNwInHK0On1MebJK9d3hc4boX4AF0TcDXWNFzNd8zVfzyBse4vBgn0uf/yBnOjHzG1f4f971KwxsjyiNsN7hBZwIwEJKhJCng+9OTySSIboukNLSJ6GaTNHWMK4zfKmZzwuitEenm3D+4g61rrkxrLFWs76+TdLrcvPmLVIcnoovfOvruHn7gO5GDxFLNs/vECcbREmbtN0j6jTekXMObxTHewccPPM40lb8u/f8HI9873/D3CiquiKKmqRxkChmeY32FXrxkGmt0cYghSAMQ4oio65rtNaUZUFZVo1EtbiUwjcm7yRo8NgmmMEhvSek0au91tQKtG+8D6MLLp07T57lOGvwLUXaDoiiiFk2YHd3AyEEYRQT65Tj0TFpq0VVlig8wjV6tjAWJRV5tEhI1pZAKCIVgPSUZYGUko3NrYbQowQbNgYgiiKkiJpKBiGI4gjnHFVVkaQpksZTL2tDt9NpCMY0nuQJsZwm6L3H2MX1d540jmm1WlhrmqSi0bzhvnv50GMfpJiXnL14D0cHxygaORDXeMJBFCLwCClQi6tsncNog1CSMAiwC7mkkU6acwmjiDCKSJOUeZ5hF9FEFEWEYSNb4Zrcwq1bt9jZ2eH46Ijt7e3F8+CJoxhtDGVRLCpWFEEQMJlM6HSapfyNMYRheJqEbsaSoCgK4jgmWERCJ/uJQJAkISrwVGWGiOPnydpaaqNJ45C61qeyzMm1DcPwNDLSWp8WSRRliRCCehG9GN1cizRJePjhR7h8+TJl0ej4zlesrCgGg2O0jEjX2pzbvcjxeES7vYrRGochaQmGR/us7Zxjbf1RBkcHHLlj7nn4zWx6w+1nniBUASLeoJu2cUrglUa1I87EDzEdjZBkrG5tUpcpxwdXGd58jjAJ6HW2iUKLCjzFdI/jvQzrHJ3+JoEyCGlxNmcyyBgdD4m8JY5T1jfPMZpNuXV8SCtJwRnGswl4RavdQYSQFRPy2RhTV5RVCV5RlhOCSGJcSOglIoiZz3Oq0jHPa3Qtecujb+dNb3grmRXQ64KLEEaQKEGHAJ+E7O/dPaV+Tq5eKaRceFDQZD8hSSLKucG7EGEjPnHlFkEk+Qf/3Xfx1tfvYMpyUQ7iUB6UkAR3lNmdeDuner1xRGFAUUy5tX+VyfyI8fwYnc+JlAQvCIIUKUJGZU6pLFEY451ACkXoPJPJmL3RABXBO7/qz+GQtKMQX1dce+ZpxrMBvbUOwR0L5HrnwThW+itsXHqY3s4jXP/Y07zvXT/Hc089SV3VtNotwjjCYCkqQ17NkVKeErrR+rRKoqwyyiqjKOeUVY51NSe+PIjG8NEoo8JD4ByBtyjviYFEKdpxRBqFpFFErAJCqWiFMZFUdNspvXab9bU1ojBsfoIQvKfdbpMkMQLP7pkdqjwjUJJAQq/Tpt1K2d7eYWNzg1ZtiSvDWrtNOwpwVUFLWLqRJIpA64w0EoSmIsLidIXwhihwpDFIrwmERxclSki8cQRh1FxPIAwbQ6q1ZjqdUpYlxphTEqrr+jQaOiGsJElQSpGmKatpiq5Kttc20EWOsJ7BUSODncghKgwwtUZrg3eNF2udaxKYUhCqgDRJT4k0ieNT+aPIc+qqIohCut0urVbrtF+j0YhANaWPejFOkyTBmMYInSa+pUAtDNcJyZ+gKAqquj7tqxUwLwvyumoMjrM4GnJ23jWJWinx3iKVoChyfv3/+/XTZCssyvmsxS3yHkoppFKn1+QkV3BK6Iu+n8ilZVUtIimLMYbpbMatWzfxi+P1VrpcvHiBwBnaicDomuFozDzLUULgTM76ao9YCKQxtJRgenxMkZV0uhtk1jPKS6alJu2vk9claRKikWiTc3jwJOPjI+raIII2o+ObXPnEH+GExNpVnO0QuJjnnv04h7f3yUYlk0kGIkTJiK2tXTY3d2i3u5TZnGw6xumKTieizGfcPjqkqCuEcUwnU/Isa26GGlHqA+blTbRuylq7nS7dfh8Vh7S6XVppSJKmVJVlOMmYTGoGg5qD0ZSqsHze695CZqF2EmskVWmxhSNxMXEYEUrFK8HnjEdvjcdiF55bcOqN4SNCZfjI4x/j3gceJGyFHB8dYQk4tBHjg5zPf9PDfPWXv50f+5l3cTyaQdrCipTtdg+ZGso6Ip8X2KDgYnuFjTMbaGu4dX2Pg3zCzGhmxwUPX7zEplIkvQQnFc4HBKpFVoGZ56y1OwSdDtOs4vrt28zLCi1qHr7/Am++/xz7125xdDzmgYfOELU69JUlP94j6a7iOj2EA+8kMhAgLVEUcPP2Tc6vdXn3u99L/w8/SJBskXY36XbXQUeMbucEtcV5jbQaV5UYnYFXWCUpdEFd19R1TVk1df/NEFjU6PrmnXQgcYRyUQLpII4USRjQ7/WQCAptaLUSZLfLfD4jjSKisM08n2OdbUpEjSYKA5QAJQRpkhAGkmNbsPHQvRwfH6OtwRpDq5USRQGhClFyg6qu6HU7C0/akcoIFYfcONhnNp/R66+w0u4RHB4x1M08hna7w3w6QSqBEJI8y5gMR6xvblLrGhnGIBwyTiitpjA1TkLaSvDeU2tNmqToqgIpGwMfKySWdqygnJId7XEcnmG3u8b2+jrD46d46mMfpNs/AxiUCprSXtd48tYawCGkWORGLEouyoikoNVqo4KAPM8JggC30Lbrusbeoad3Oh2cc5Rlyf7+Pqsrqxzs77O+vk4YNkQwnU5ZX18/Tdj6RYI1CAKCMDxN8M5mMzqdzqmObhfkWlVVU422IGbtFjXjxuKMwQnHM089w6+895d44J57TklaCEEYBjhncM5gHSw4/tTwnBiEsizRdSPhuG73tJxZa81Ea3TtCFTA/sE+o+Ho9JmfjmdkWc7FzfvJtaO33qayMJxmJIGjmB8TypC11TMMRrdYaa1w6exF8tqQ6WNipbh59UmiUNJurZC0Oxzu38AnfbpJzEZ7l9CMGd46gLDH6vYu9fSI288+zkgPcWXJfOLAt3HaY12PP7lyjdXVNZyzzIunEMIihGYwHBCoNgJBkVesrzsunr/EZDrGuZoo2mB9ZYOr15/FuA69dpdBecyaA6t5AAAgAElEQVTw+BBMjqDGFoJxNmeeH1BW+2SFRcqEqvTkNUwOZozNlG/6qq8C1UPIDqlKsbZCe0kaxkSBIRWSrHpl/Po5Q/TalIvEmaQomjpna0xDKAEcHg+5dfsWvW6P3d2zrKysU2UFdVVy89Z1ZtWc7/6ub2a1H/KTP/4LPHNrzrG7zutFC+dSbHeFjdUu57YiHrgnZlDGvOncQ3z4qTN84Omn6GxJnAiZ1pZi1lQ8tDotBscTZLBK2lqldhUmr5BGsrO7zf4hHA4HfM/f+24e+/CHEE5w7uxFTGmZToak7ZTu+joyElhXY+uAqsyJMYz29hnv77GzErNz4QIfvfwkh1evcPaSottfQwpDkkTs7R1RVRVmITGUZUlZ5Wxu7JBlOYUt75BuSrzz+Dqn1+k0E3Cspp22m6SPc3STmDQKabVT2q0UKRovb31tncuXrxAGAa12i42VHrWpOH9+F2Mtzzx3jU67ha5r4jBAScXFC+c5PDig147otXaZzeecO/Mwe7dvE8Uxk/EUFSuUFMRpl1Z7Z5EwtFRVDZXH1jWXLpynrirqqgJr6fU6tOOVhVGJiJRclPspptMJeZ7T1zUECqM1FkESh2jraLfbp4nMk4oRaPRsL5vJLFJIlIBeu4vXFZ1OB+Wh1+rytre8lcHhEbmuOZ7cJt1aBZpITCqJNU3VjbMOJRVxHGOExuiaaT5DBYo0SYijmECpJo8SBJRa02m1MEZTFHOECIjCBCklURRRVhXHg2PG4xErKytoXRGogLIqKatmPKo7SieVUqcTtE62jcfjRe2+otVqUVXNudUL+ahp4xBWUxYVo8GA97z3lxgMbrG+scE7vuIrgOcTqmVdLiJgUHIxCdF7xuMxRVkiF4SeFwVFWZAmTULc1I5er0ccx0ymU6ydc/PWNe6//17unIGhgoBAWdK2YmV9lzRMaaUJShhkENNpnWE+H4Is2Ny8yHQy4+howCOvfwN7h/sMZxPObl9kc3ubKhtxeHiFfpqi+gFrm2c5vvYsc29IezHtVp+gu84s6hAMb7GRXkKFLfLC8eu//BMMJwNam4+ws/NgE42lIUKFzMa3KYoZa+tbzGbN/8BptTpYnXCwPyROYrIs5+rVjxCFHW7cuMl8cpv5XLN3e8RwNsf5migUzMY5RV1hjKEVr+OVobOakvg2tQC84fMefTNSRhgh6bZbeBvgdU07TUhkQ/Q6q0jil/o/Op+Mzxmi9zQhopLq1AttING1xRqPqTVFWZBnGbu7Z+m0O8zmGT4IqCaHPHN9jJSWv/Ff/U1++qd/lo88c8ieL9iJLfms4Lg6Jok2OTdtg7NcPHee3/7ws1w8t8NonDOZjbE6ZLXTZnulw2g0R8momdPiK6IkpJMGHN0e0k63qKoapWIC5ShqS6BCRoPbrG5s8dCDDxH2UmbzKVGnixIKtMTPcyo754k//jCRr5jPJuycO0en06fO9jHzY6reNv31Lax1TchvDM6aU2/rJDyv65rKVKdenq8bb+3imW2M1kihqLWh3WrRSVJ0XRFJQb/XodvtYkxNv99Fm5r1tT7TjQ1qXbO+vk5RZ2z3tnjooQd49rlrdNttAinJqmoh4SguP/MUO2d2mM/G7OzssHvmTEP2589z5fKzbO9sM57NkAvJIVSNl1hXjqiVUuiaymqmk1Fj2LXFlCWhiojDAK8ktTZ0WylCtun3+0wmXfCW+XxONwgQYQTWkkQRoffMypIwDE8ThicavZQSEURYKRGiiXbCKMT4prQQ5/HO0mt3uP/iJZ65+hxyMQOxIXjTTHQTEqH8qfzgfVN6qZxCBQprmuTxSWlkFEUURdHU7y8cmTAMqWvbVALhsM6e7re6utKQt/dYXaECSWWbCTi1s2jvUHGEVxIjPFaCppnBJpWkKAu63R5RFJHnOUVRECXx6XgRQlAVGX/42Af54w9/mGxaEyaCv/zNfwEDhItKGWstalGSmqYnlTRuUTI6IowaAyqlJM9yAKyz1FpT1hVBUZBlzaSk6XRKEATs7b3w/6dIqfBYjgdjiiJDSNB6hhCSe+9/GO8crd4azuZMJwekaY9bt6/jgN7KOiv9TQ6ObpHlc+I4IEk2sHWOLkvGR7dYPXMeU1UcHF2l0kPasoNUirjTZv/waSDmeH/Kk088wXQ+582rb6SyFq0Nea7RYUQSrpL2VyiznNFgjgo8o+EEQUKe1YDn1u3rTKaHTEc1164fMM0OqCpPPq9wtpGTrZKUeQQ2RPgQ27K0+i3mmUCbiqibsrOzzbmdc4xHQ1bPrlPrCiVU86zWllAIAinQEpR6ZdT9OUP0mGbSjjUWGXkQEusdEIKAvYN9fu/3PsRf+uavZnB0TBDFXLh4gSzL2T+4zYEsEf2EQAqe2dd82Vd/Ld/1t/46/+dP/QLPfeJxNtoxeT6kyj03D3vsXDjL4Y1rJInCihZRW/DWe3Z58sYNup0WkZCEsSL2Al0ZWmmLbk9hpjn9jYTx9ABbVHzVFzzCBx77KHUV4FxJO1CEcUCRT9CUhFGP6088TX/nLGm3TXurxWC/Yntzg+Orz7C9sU3uNedWuxwGlvG8YN1mdNptrG20V12XGDzGWrKqwNUluTaUdYG2UFQlpi6RtpEGzm2t0et28c4zOBoQhxFnzpyhqmryPKPVSmm1UuLWKmka0e+vMBlNOH/+HKPxkG6/QzUuGE7HHI4GzQQpU1PoiiiQrGxvoq0lCAKy2YwLFy4RxzE3bt7kkYce5vb+HmcvXGQ4GLC2skYQhGhdLZKtEb1uhzzPyedTpnmGxdHudOi02uR1Sb/fprKa2mpsVTQeUNpifNRMgjk+3McYjQoEaXcFaw3TyYjuwos80bYbiaiRIaqqaqqvlGqmzGtNq9Wis7bC4PCQ3kLeieKERx58iA9+4AP0Oy0AAqmQQSPT+IUk5nEYa5qE82KpgySOKWmWHijLErXQ0E+m0DdkzyIhGqFr+3xN+h3VNFrrU/mlrjROCYqqoMyq0/Jit6h0QTRLashIYb0jLwuSTkrciggKhcUQiQ5JFFEUM4wrePfP/yzZdE5ZzGiF8K3f/p1IERO1WhhjCYKTZQf8ooKnIFAR2tQMBgOyPEMUgna7jTX2BbOti7ygLArSOMV7T57nTKdTWu2Exx577AWPvPdw37338UVf/IV4n4PSpJ02cdAim8/p9teoshnnd++nrofMZ7fZPbOJZcLh4ZQ06qJkzfHwJkFrk0v3vYHKWpQQ3LryDJ0daMdtNjfPMpqMGNz8OE5JJnVOpM4w3Nvj8h99lN/897/Jo298M3WhEWEIToFzuMBQaY8WHmsk99/7RkbDIX/4ocfZ3blAu9Oc4+Mf/xi3b9+mKDTWSGwgUbWkNoaVtR55UYCSmLBGBpJYBXT6MU6FJNKRmZyWSnnLW96MihW16+KdIWmvEEqJsJ5AGoQyGC8hiJHpCydGvhw+d4hePF8DjT9Z8qApaYMmQXvj1nU+8NjjvOHR11HWM27vX+PMubOcT3ZRyvOJP/kokVKkccztm/uMRiO+7ivfTuvrv5z3/dv3cfnJp7l5K0dynWmWsba+SVWXbO+ewTpHlmdcWu03NdlaczTV5HlJr7tBFAasdlvcOjgi7kUc7V+n1+lx7z3nuHZ1SiAFUszomTbFcICJIqRao3Y5cZSSZiOObzxLpWuKecFKKJh1BGcfvMBjf/ARWq0WUZWT1QX5eMRqHJPnOVrX1HWFkY3mOS9ytlc6zPOcsizJ60YvtrZG6xyjDRd3tsiyjP5qH2kbSQdboXVBkoTIQBDEAevra3S6PYoiZ2trC4li8+wW586f5V2/+AusbqwxKTKGx4OmmmQRTWit6ff71HWNDCMuX7mGUo1c8OQzz9LpdNja3sUZgXOePCux1qJrz+HBsNGojcU5S6gUvXa3qbmfzYiDAFdrrNHMp1OiKEKpEG8MwjnqrKB0msO9iqLIufjAg+RFyXQyakpG0w7GGNrt9ievLbNYi0RaEITMZjP67W3WNzZoSU+SxigEayt97r10gaPxkKaodVGmGTaPi9GakwUfrHUoAlQQYLQmCkK8FChAmyZX4UyF8BZvPE4JykoThQlxnOCEw1iLXejpJzX4h4eHrK+vN2vQzOdNZU+5qJQRAhUGp3r8Sb36SRK4qmvCKDytxxc9GA8HPP30E+zt3WQ8PEYXJcILvuFb/hLaKyIRM5yMObN9ljAMybISQYgQCqUEWT4hq2qu3bhBoBQhUEynTYJYNd79SVJ2PB4Tx8kp0ZdlCThu3bxJEoJBIixsdwN2W4piusfqxUscHx6BsbQ3Vzk6uE5ZTEnThGevfYIL5y6ytfswh4d7nDlzhnS7x83rTxNHLVY3dtAu5nD/KkhNmy79zUsUsz1EHWL1Bhvb5zm6fRWM4Z71HUpnOHP29Xzwd38VqSJWt87ihacVxRjTjHEhJCLwzdRvC6PRDGMMb7j3DTx9+4CPPnODJEk4OC4RURdlc6IkxgY1IneEuo3UAVTNzFHpJP12j1aSoBQMJxNIYGW1zz3nz7Ha6+PLjKkDn4YIZxBeossaPFRZSRAkhAGE8j9Vj96bxYumS9Y5FOBE87AGUqKd4drNQ+578CG0thweDCjymvsffIhWt8+jb34Lw6MjXF3QW92knE24PcnwxxP+y+/4Tn71Xe/myrNPM5lr6nKMj/tkZUY/n3J2e4P9/QN0bQgDhxWK7kpAZ2UVa6CVBtiqYjoa0A97rK12mI8qLp0/w+VnB2Tzmjw7hn5Fq92i1p7bf/w4j77xTTz86OuJiOn1e0RRjNY1T3zw/Vw/PCDZ2OXqlSunuqqaZ4CnKGbkRVMuaYyhXtSHn9ZKa01RlBRlgfeWus5xtqLWNcF8ThzHjEYjwjBAiIRZNmN1bYUiL9nZWqfUlq2tMyRJi3mcMc+GSAznd88zHBzRj1u0XUBfxMxVRLi6ynNXrnD/Aw9w+ZlnuHDhAoPhkHGWIYTg3Lmz7O3tk6YpZV2TVyVKBvS6bSaTSUO61jfVMNZAVTcTSbzDScBYgkChvCDXJUkcs7a2wmw6bYaFUNR1RWbqps5bSEQYcfPmTZJWC2s9lQiI7lgL6WTC3AkZnmxTNOWDs/kMrdd48IEHuPrUx7HSoo3FApub62RVSYVDqQCPJ1IR3jqsNo0XuyihdF4Tqsarl0qijUEFAVEYUhiDkIJgQczWGZxvFsgSWIyKQFpsXRFGIdYatAMfxujaEKgAoyuUkIjFAl9KqcbwLQheSnm6oF0YhlRVuThWEzGMJkMee+x36cQR1XyG8p5SV6ytrLO1u0ttmjkGCrVYLmRRQSMU1kGtHR5JXcyZjo+Jg4gnrz/L1avXKIuS3kqfMEnY3NxgbW0DawXGFOR5weHhEZfOneX9738/YjG7WnrAeta6bZR3tOKEJIzopi3y8YCsu0nYWiFNU1ZW+lR5ztHBHnG7h7aSa7duECYp/d4m0+GY2eyQjZ17uHDPBW7tXcajOX/xAQaHiun0kOnsgKTTAxWhq4rZeMiwHNBuraPrijiOqaqqyasEAXgBLsaYgjRtIYSnDDSurgnjlDIveODSBYyHyXSGQJAXFWurGxRZBTJgbTOkmJfsH00xzlLXBVGUYLUm7nSRkSKKNEpZ1vpd4kAgfbM8RRxGZMcj5maG14az22coy4xAxdTlnH4vQOtXtuDc5w7RO4mVjf8emGpRXuUJI4NzEMoOpipYaXWQcobTXWLZop5ZPvaRD/G6N7+N6egIgSRUljgKOD4MqYylLMb80ceeZPfBi3z9f/G1/Og/+d/wouDeZEy30+La1WvErSE7F87y9CduMi4V/Z0OEbuYas7TN2e8/fVbPHf5cUoiqKdsxiGXLq5TZlOEzwiVot3pQmsdnyi622e5J1ljPi9RKkKmHTr9Ptl0yvHRBJFu4ym4ef0A7RUPv+486bNHzMeaqzevsZUN6M+m1HXJbD4hqy2z+ZQwDJjMFJOsZjY6Js8qyjJjnk2wrgAPF8Om3LDdbnN0dMR8Pj+dAYoXFGUFUjEcDoAxcZo0Sbuyoq5r+v0+Dz3wIE888UQztR9OF8S6ceMGaZpyPByytrZGXBXcvr3H8GifrfU+Z3Z2uHHjJptra0hCnrt6lV6vx2Qyod1psXv2DIPBAOk00UxRa00riTh37hw3btxgb2+P1Y1NrDf8/9S9yY9l+Xmm95x5PudOcePeiMiIjBwrq7IGVhVHiTJFyupWtyR0t91u2PDC8ML+N7gwYMDDzgu7YcCLXhkwILdEqdVqiZJIdolTFVVTZmVWDpEx33k48+zFuRkSARsyDS+ou0kgkQnEjYj7nd/v/d73ecu6YmdvyMXFJYv1HNd28IMQwzTJk4TIF8ipWQcBo8mE22+8zf7+PpZlXXnpr4h/tYiqyMgipEGMVBVEwZrhoE8ar7n3+n2W4wnkBUJZ43U7jD/8GcqgBzRcIEEUmtN31chWL3cmZVFQy42ursgyCEJz0pc2Q1hUEGj0+3pj/c2LgrzICZOYkxdHuFazXBMEkRIJ03YJw4Buu7OBwIlk8t+iYBaN7VLTNFRFIS0bZ0tVwnw+QxYklqMR55cXXJ6fUCYxl9Mx/nKGZuj0u13+43/6zzidzhn294j9BFM3r0JYSZKwmJzz4KOf8uDBQ+Ik4fTFkwYeWEEpFhR5Tl3DbHqGIss8fVg3YSxRQpRFTMMkLyt+XClkeQaCgFwVSIJArokERczYzwnXQ4LVGkoJt7/PenFOr31AkSmIgsv1m7dZLieUSUDPcZj7l9RZjCwN2Dm4TZ7EJNWK8/EpN269yfj8KaPzE7a2h7S9bY4vP+X5i485PHiNYLkkJ0XNYX75gsVozmLp8+knn/L2F38Lx7YJ/AJD08hLhTSKybMMWZVQNA1VERBUnWA25ZWdIc5rr/Lhpx/y+YtjqqImy0okTcJUDIyezirKibOcIEqp8wyxzJB7Do5lsQgCTFunqHNUS+dkOsYxTEpqxErCUjQ010LScy4fPkJ1uvRth8QvqXX7FxqvvzSDviyKjX+rgg2YShSETWRebhChQsHDR5/w9Piv2Rvc4s033+La3jVamsWT93/KjTfv0t5ySf2C1SKkv2uS+kvETpsySzh5EfBHf/xv+S//6/8CMPhf/uf/CVSNNFshihXjF9DvtnhyuuBXv/UV/uA779P3VOK84O79+3iaxA/e+wlDCTRdQ5FForRgPo/w7C6ttoNjqHitFqvVlDffuo+3vYeke0QI6I6JqRvs2iZn5894PnlBq/Rwuz1W6wWqrtHv2USCRh2GjMcXTGeXBNGKIMqo64xVECGJbZbTVWNPi1KKMiWOA1SlJvAj7BsuitJE+XVNYzqb4fs+3W6XKIwZj8fkZUVeVnz5i1/BMA2W6wlUNev1Gse26XQ7uK6LLMtYlkVRFFy/fp2HDx9i2Dbj0YjLy0tee/0+dVkShRH7e9eghtfv32cymfDk82eYpkmSxNx75RXWvt88bIDpdIqqqhiGQVmWV+nO+XxOUeR0uh3W6zXPjp5hGAa6oSMpErbRWDM1WaFIM0S1YK/d4+T4jNOLEa+88grf+Oavo+sakqCCIJAkKZ4ukBcRYSmRKwpVJfPi6ITzP/h9/tPf/hZ+sGZ4fRfykvnliDdef5XvvfcDKiDN0ibGj4wgNhA1qFA1hSxr4mhlVVHVTfBM2CwzgQ2mViBPEmpBRJFVsiyBOuWTBx+TxSGz0SW6KrFcLCnrmlZ3izt3X0U3Xdb+EsuyANBFkUKoqIE0SZswVplTyM2NZeWvSJKETz76kJOjI9LYp+W55HGTKA7DEEOyoCz41W/9Oi+mM7p7t4iiFE2VcT2b2XzBRx/9jL/47r9jNT67eh+WZWHpKnmW4Vo2WSWyTOdomkZd1bRNjzRLEHURSYIgDFBrgTxJkY0m2Z5mOUgCdSWi5nA5CghNCMIQQVQpqwxLFbHMHTpbPZJMYLI4I8rnDK/dIE9Mkqpka/AGRZEh4KMrFl6rTZnI+Msls5MXaLpNUeWMR6eQ52x37uK1U+pCoKokOoNd1pHPtnPAvS894Q//9K84OzsljcfIrW0cSyWKEixNx1RV4jQlTQoMy6GqM+oqIC0y6nCCouV8+Z0vI0oq/mrBQpY5GY2ou11cx0TzQsYvzhCSGsnRycqYMAyRFZ3pdE4RN5mQ5xzR7SwxBBnL7WC5fUqxxF9GOGWL/tYQ2/CYjI5RthTc9t9JJv651y/NoC/SDEGWQJZAalJ/kihuLFwvwU+NNS1OM4Ryyj/4h33iJEKsa3b3BqyWPnbLQ7d0uv0eq+Ucf56hCBVUNe2tDhDz7OgZve09vvXbv8uf//EfocoiPc/GNS1OFxNs26ZMM5bLBcPODoIAhqayu7tNLgi0HY9aFTk9P+fh4yfEWUZLEUnyFE0uKTIH29OBijgMqUUF02s3zPCqIFjF1KXB2WmIoppYToXXbmNvdTk+O0GqSsooZb1esPaXJFlAkRXIskiZp0T+ijKIiIsKhJIiz6gpEauGkJhlGTeuH5KkCVEc47pu46euG+mk02mjGRYnp+c8fPiQ/YMDTFulzAuyzb+r6xpd16+033arhSzLzLe3SZKkoUgqCh/85Kdcv3EDXdc4OzsjSzOGwyHb/X6TovV9dF1nOpswHo83hMWcfKPnKhsv+Eso1mAwoKBhodcb73eWZaiKgizLqBLIqoTvh1RFTrhaUxYF/XaXpKiYPj/hox/8iFs3btDrdTFME7WuwE9p2Q5iXpAhkeUpHVnh4ukzxPwbWJpOGscsxzN0RcFf+ez3ehwVG9mExj//khRZvGSb141N8GXQqKxrZFFGFBuWfl5USKKILEpNqrcuKCgpsoj55JzYDzF1DU2RMDQZBJH5dMJfBz/mzXe/SlEUhKF/dZKPohg/8LEsmwcPPkVWFGzHpaxKfvazv8bQdaIwIPBXVGlCnacNbG5zu8mLgr29AX6Q0B/uY+oaZ8cn1GXFw4ef8p3f/z2yJG5kqQ0avNH6M2S5CUwtQr9BVghNmlTTNMI8IC8yUr8hRMqySlqU6KrB2l8hyRKCALIgNee4DfKirqGoSwzbRpYTwmjBcPsWAjrdjsV4siSvBcaTEYPBPovlCFffx7PaxNkJfrLCbDs49jZ1KWBrKpUC7dY2lydjLL1CVVxyAlzPJcsTlv6cxXpGXnjcunWbXsdlvppT5SllnmBZLVRZpowEdM/CFqCsRIJoiiJKCFKF0O2wXlyQRjFSr8QzFepEQm7ZnFxccDadIop9Bt02o4sRCBqVKEMlUwoSoqiiyBqSCDIqQlWzXEwQTJdWq4OuSGSigNPv4mc1cssjjyuiIsZNdeqs+n+YpP/3r1+aQZ+mESRN+rDUDSSxAkFBlbLmFCUVVKJEXaUgQLCc83v/x7/mq1/9Kjd+/euIuo4hiChI/Pgn/567Nw/YvbbF4c6A6eUJ/nLGIhyRZjUffPgxr7wW8Gvf+E3e/8G/Ybk2CHyft+/tsUpX/Obv/hMWixV2q0IzEq4NB5wfP+be7Wv82j/4D/ngu3/IvZsO1/b2ePbiFMPymK9HeC2LbmeXJI7YGlyjTmpW4RliFTF5/jn9vT2WkymfP/uEL335HRznH/LeT3+KLMHl5QjPqtnfOySIFgSTCMQZWR4ThWuoGl2rzBP8uYIYppRKSJlXVBRASZVDmTZR9NFkzHB7cOU68X0f3/ev3ByGrrO93ScIQz5/8jnXD3fodbpXiVJFUTANg7Pzc+688iqCKNBqtVgslwBcXjZ6/MHBAd12m+l0Sr/fxzJNPv7kEx4+eMD2YIBlGSRJwnI5R1EkoihktVyh6waS3PjcNU2j0+kQx3HzUFgumM/nxHGDR9A1Ddfz8DyP+fkMSZKwDZvRdIqoaKRxCqLK0O4iCpBeTHi+XvM4jxGpQKwQK5AVFdH0EBUdwzSo8xRdFnj/L7/HjVs32dvdRQIuxyN83+f+O1/g6Ec/RBAbamiWppRlSZqkCGIz4MuyRFUUJFGk3gzSJEmaB1pRNpbLskRWFLI0paobwN3p83PKNMX1PGzbRlFkdKdFnmfo/pIyT/nwve/RvXnIv/rf/hVyRbNDyIuNc0jCdmziOGYwHFLVNY5jE6yXDUMljQiXS9JohWbYDTRNEjE0nW986zc4n/nUgsl/99/+N4TLxgIrSAW2aVOLDaUVXUPXdXTdYDabNO9DkhgMBgR+wLVrHQBeHL2gt9VlvV7TGrZYrXxqAZIkpdftYkvN75/jOJThclP68zflQm67TZqnqKoOodFw3IuYODNQVZ22MaDV6hFMx2RBzln4AbKi0Nt6Bbtl8fnTY27cfIPewT0ujo9RElB0kV73BlEaM119ArlCLIXUdYVu2pjrCPJTqjSnt2URREss20OVJOqiucEgwypYgWZg2A6m5iGRsJ6ELFcrFElDFiSml6e0XJvMX1JXGd1ui8v5kjRKuXHYp7/VZrGMMVWLxWyFrskUUoHr2mzrGrKuUNYCeVzi1yGMLsiykk53l1opkRyLwi+ZJ0sUx8BwXIQq+4Xm6y/NoM/z5gvPi5w6TxEFmbqW0FX+Ju2HuGnNEUiFiNl8QhgFiDK88YU3yG2LOqrY29lFUxVkRUQQc9yWQhzl1HmFIKTIjsrFxRoxz/nil77C48dPqOuKvEiZz5Y8fPIQrYD5ZE292+aV3SEffPgJiiTw2sEuvz/LqOrneEYX3bGoa5Hd3R2GwyGrcES/6/Hi0TOGO0M0Xef46TPWUcLO4SHvf/wx1DV/9Cd/xmKeoMg6ZTij1WkzXV6w5W0T5RAvjzFsizSOUPKCenM6BhBJCKSSIqxI04gqzyjSGFHUmmXhxhr38NFnVwwUy7KQUpEwiJAkmdV6zb17r3F5Oabb67Fez9BUjZ3BgDRNUUSJ2XzOYHubtb9mMBhcOULyPEfTtOZaXzftRvt7e02oR5L40rvvcnF5ydnlGe12m8PDfUqPPI4AACAASURBVLJN3L8sc3b2Bpw+P8E1Gsib4zgAXNvbayBZksjF+Tl1XbO1tYUsy5imiWmaFG6OYRikRUFZ1sxXazzHYT5fIQgytm1jWyYoIIkiuqYSRitabhvLcdA1C0W3sE2bMFwiU/HO/Teoqppnnz3GbjUe9PZWj8WySXE2AanyKiSkaiplmV95zcuqugKfiYIAG4eUsLFZ1hu3D4CpqqRRwNNHn2HoBpbXRpIkvHaLIAjRqxLLMDg7PUbSZCYnxxxc2+Pp0+cIooCqGk3ZSC2g6yaaarBartjZ2SEM1s3XVRRUZY2kGyBLRGmC67lIkkxvuMXx2QS73eUvvv/vCJZLBEBVNCRDp0JC1my8XhfdEJjNpg1PX9hCliXm8zlpmrB/sE8URfj+mhs3byDLMq7rMZ1OAEjTZtfT7BF08rxAVVT8vARZoSRHBeocnh+fcnOng207qFWBqaiUFGR5jGe4hPG6QRf3dhgOTfxoga5JmJaAPx/T0yXWF89YXIBhWVALnJ8/xZBMVN3Bdq6zvDxjufwMw2ox3LmJ9+ouwWpGlIBu6ORlydn5C4a9O5SlTFHKVMoaxBVxsuLpZz/C6u7hmQZxlmGIGoKQkZYVwXxEFMWUVUmSpWh1hWPqBGFMFCTs9AcEwQs0TUIUJfxVzFarQ+455HWKZ1ssF3NsTSGrSsI0RQx8Uk5w6i5dV0V2FMSiRshb1KaB0f17Kt2If0vXpCyohQbklMXN3+XU1FJzBUYUiGrY3d9H01UswySNItyehWboZKuQxeiyOc1VOfPZhPVqfsU5EQSRyWzK97//Pe7fvUmWRBhyRRCtuLyYYI8n3L12DamWSOKYycVDvO0uWVEh0IS6Ts4CQlunJcBg5yZpnvP0+XNKQtqtNtf2D3j29Bk7u7vIksR6GfDxX38ElcjNW4ccHT3CNre4HE+RtArXNUFWyOKMMq8pCVHTkKps6sde1qH97SVgVVXItUCU5dRFSVzGzXDsdFgHQeP62ACw6ropZXFdlyDwcVsd0jTBNEx6vS4VCVEY4gcBkijy6MFDtvt9kiRpjISiyHRTLPEyiCMIAi3bQRJEVFnBMkx0XW9sdlVNt9tt9Hffp91qkec5URwhZRLdbvfnUqwtz+Ps/Jztfp8sy2i12ywXC6qqot1uY5omdV03WQTLIl+skA0NMWzQApIiM4t9lnlEq7CxTaVBPGg6rt7DsAxUXW9IpzJUmoAummiygKrrTEejxt64XqPqOpPZ5Aop3OADGmBZE3iSybIKYeNjl0QRNuC0vP4b3EBVlZRlQVFWVz+DLM1IkxRdUaGoKOOMShARbSgqKLKiYQ3ZDnG4JltFfPmL7/Ds+RGyrG1smVpDBxUliipHkhSCMECSBJbLNZZpU1MhyxJVVaJqDT0zSzPefvddJNllOp1wdvKcuirpbw82399G9mseqjqXF5dUZcl0Msa0TCzLRdd1Tk5OmEwmzUO5amimWZYhS8pGsxdI0pQ0TRAQm32JKLF+eaPcVB3mG/PFOq+bE30KgpihWNsYShdJbLoDqjrHD5eAxFtf+BXKi5okW6CSMdg5IA4CBLFGc1wm84BSsrCUGpkcr+dQiSZ5laPrCpouo5kqwub3VVNV+v1t1CfPuRhdkmUhiqpTFAFxLEIoNotVqWbYaqPUAposMw184ixDkiWKLKFMUnJZIKtLdntbVKsFIgJCLeHaDoYqI8kSkqiQZ3UjV1k6ddxA4VpeC6kuEBUBwzYJkhipzljkDdDQsToU8RJL7aDJOq7l/kLzVfr2t7/9/9Oo/v/++h//h//+2z3Tpa5pFlo0/Yl1VcFGq62KYqONlk2XZl2zCpaMxpcswzWtloctVUyPnnH++FPWl2PS2RrT6/L8+TndrT3OT59TlhlzP6QsaoQyx1/OubbTw1Fznp2ccXzqs0gKvvLuW9S4hP6I5XJNIYroqsx8dMavf+t3+O5fvofv10hGTlUJXI5H3Ll7B3szkJ9dnNC2XAQEwigmTnNkVWe58nn02QPaLYckLlj7EYZeoCgqquagyQafP32BajQNPVnV8NrTPCMIgqaPMm+CMXGSkIURZZY36OWikWn2uhqWYeC5Lo5lMZmMKYsC3TDIi3yDO2u4N1GwJIsDHM9jvVpdQbTa3Q6iImM6Nroo49gWVVGwXi5puQ7dTo/5ckGRZbiuQ5I08I1ur0tRFNiWTZzGvHLnNo7jcDkacePwOrdv3+LoxRGr+eoK7nXj8HCDthgyGo/pb28zGo/RdJ3hcHhF83QdB1FRKeoK23MZjcf4QUhSFORliZ+FpEVCWVcINVRZiSjIaLKJYahNHZ9hUAlSIxFWOa1uiyJJyPKc4e4OtQDtdofRaMR0NmU0X3DrtXevYGKiIG6Y8+WVnVGUpCscgCC87CuuN/uIAkWRGytpkZPnJUcnnxOFS1qm1+j3momk25iWieu1ODo9obvVo8wS6qwgjGNu33mV09MLNFVvynhkBUXTCMKGXtqUlQTs7A5ZLZrvbbUpI2miBDWmZWG0Hba6A2aTKeOLc+I4xnW9zQO3oNPpXKE2DMNAURv3VhD4gIC9oYTmWcH2YIhtO2RZkwGwbAdBEHFaHoqqkmYpmqGh6TqaoeOvfYQyo0bEFStsW8Zr67yy12On02N77y5lIZOUKzqdXZIow3ZM2q0ekqgQxWsWywmaZeC1tkgrkPUOTquPqsgE64zu4JD28DaWLlALQhMwFAw8z0DCYL0OWMxOoCiJgyXBcsb52ZiPP/4Yw2vT7/XQdAmpDglWE06evo8uZVShSsvrEaYJjiATCwl2p0WVl0zGFxRpii5pGLpJTolcZRyfnqLJmzR4USKLAoqsUJYCBzfu8t4HPyHPclq6jddyCNMU05bRJANL8UjLAq1uHoy6pqKpNiIq/eEASTF49NkHfP+99y++/e1v/8u/a8b+0pzoE6GirstGeth8UP52B54oiyiCSElNUddISoUiiyCWPHnwkN/+zX/EcvYckw5oSlNKIIqEWURvyyVYXNDtbtNut1ks/opSXXLncBuxyDl5fkxe+qRhQSWmmNWSdbTim996lT/8jo/Xv2TQ6dDrdFBVAUlOePftX+Phg4dML0OS8Ihv/gdfIw5mXF5c8rWvvo26FFAthXW0wvM8qnVAx92h6+5yeq6TJ0vevn+fR4+OydOAdrdLkFWMV2t6/RaKUjGfJwiCgmyZJIsAP0loSwJBVlBkEUW4oswaNIKq68hls7RzHacZtrZNlmX0ej1Wq9UVSGs6nTYR/arCcRx0XUdTVQaDAavVijxvsACu6+L7PuuoofI9fvI5O8MheZ7T7Xm8/cbrHJ0ek5Y5iiZTCCXLYIWmaSRRyl5vm2jpI0gSu9tD4jglLQp+9Rvf4E++88fEecatu3dYRyGSlGCUBnsH+xyfnNHvb29i+wn9ftNMtPZX5KWCoiosVyviNKUQIMpisrykKhu5QMgKaqFAM03UUmPH24V6Rcd0kU0X2/V4cXzMVrtDHWakRc46DMioOLh1i88+e8hsNL5CuwqC0CCIUSjEErGqUVWZLE2v9gi23cTrkzimqmtEoCzKK2rmyz/rKufy+VM6rkVWVXhOG8f10HQTr9NBkSVEoYa6oExS0qigni/ROhama1LlIpKoUmYheVnimiaz2RhVlfHaLc4vzlEVjwqJ7Z0dosBnsZiRFwV3776CZhr88Mc/pm05XN+9Rp7lBEGA53kURcbzZ8/Y3du7QkhkWUa/37+ClNUbaqm/Djg+PsbzPLrdLq7rcnJ8Qn+7v7FnxnQ6XcIwIAwCrh8eNuTM9VP6PY83Xr+HKaSkRU0cl+gth6xIMQ0dGYvx6Qva3T2CVYoqZYiSjGd7lJKEpAj480v85ZpInyFKKt2dIU7PYz57gZHMqIuUMq0gD6lCn1UpEkQrdF1hOQmJo4cYugmaiCJFDHsOwTwgC2KEFlR5hhLN6feHxIXM7a9+mdPTp4hVAa1dslnIah7gB2uKsiIUapbxGqXWEMsaTVPptNo8Or+kNG3stsfl2SW+H6JpKnkSYRsaQl2iGzJpmuE4bZAK0hIkuaIqBTTLpBSaW6vqOlheFz/Pic5/Hifxd71+aU70t1QHXRCQRRFJkBDLGgWRWhQa3ZOaumxKlQVRRFEVVFVDliU0Vca2+lzfcwiXC/LpCkOQSbKM/u4W3Y5Ly7NwXYvzs2PeeOM1hj2XyI/obe0QFgKfPnrIKi5YrzQQbEbjgBu39/nk4+c4LY33P3hAq9PjT//8L/jK197h3qu7fPlrr7O3b/PG/Tco84Kz0wvuv/YaTz47wrY1krgJjFzbv45jyGRpTlmUtLothoN9XNvg4NY+WVKQJQFp6iNUKuPRCaZVE0YVGTKlUDObLZhPJ6i2ThkXhP6aMkkoq7+RBUQhR1Vl9rZcXNelrmv6/T51VTEcDAni6MpBo6oqvV6P+Xze6PeKgrJxtqxXTX/q1ub/uo7D5XiEoii8ODnh5q2bHB8fs/bXrMOm1NsyTTzPu6IYZlmGIskoikpFjSBJmLaFqqmslysUuWG7ZHnO9lafvMiRZZkkSeh1+0BjTTy4tofjWpimjqGr+GHK6ekp49GYOIqJghAJEUXYlHQAnuNQUdDa8tBtjd5OG822KBDQTB1JEtA0hUqAKE0RaxHdMLk4u+DZ4yc4tossq/zsZ+9TKgq7+/coygyEpm6xqkpUWUHVNNQNciFOEuIwwrLsK90+SRLW6/XP8dvrMiW4OEORoLtzm97WAFkUkOqcyWTOYj4jCnxmszGh75NEcdM1K8HXv/5rPP78KXESNQgLfbMnQWBrqw9CjapqCIKCpqnYToOAECWZd9/9Eo7jIqQlXdfBMFSOT48Jo0YezNIUSVK4dm0fUZSI4wTbcfADn6Ior5LRk2lTXr72fdrtzhW2IQiCzQ5B5frhdc7OTjep5qbD4OTkGMdx+a/++Rd599V9tjoqipRSStCyW7hOi6L0UQQRQ3cxLYNaKJEljTiNEXUZ1+2ShBGWruO2O5ubU4lhm9itLlmSkK2nrFcX7O3fxHBc4jBAlCQMR6Pt9ZFEFUUCqczp9Aa4/T1Oz8745NNPeXx6zu3b9xjs3kSWNEYXM0RZotPaYjofYw+66KJKUudkZcR8fIa/WjZuGlVBVhWUkqteBNNpUdQGy/GMO/vXkXIo4whVKOl0OiyWU27fOCSJlnS7fTx3C1FtFtB1VdJr97ENG0FRkWUBQdWQHYe8FsizjPH50//XJ/pfGh69sYyQ/YQqihGjBDWvULICqaiQiqr5Bm4+yC954rCx5xk13//Re3z08HMG128R1QWlJnP3S19ge7uPYWis/RWz0yfEiwvkMkRWLZJS5unplKyo2B5e48bN27z1hX2+8c03+Me/+ytUZUUUhbiOw3B3j8vxDN10ESWTMjMIlhXzScpkMsL3A3qdLbIsxzCb081sukBTDR5++hmFpGM4Hc7GMypKnj19wdr3EZXGnmZoGjeu77C/v41Yi6wXCft7O6iqTBgFTfVbmpOWOWmSUmXFzzVxNY1FIoau0t/awvO8q7/XVI04ifFcF1lqiIu6rjfx9DSlyIurE5xt2+wf7KMbBkEQEIYhURJzOZmwvTPknXffYbleY1kWruuyu7NzVewxn8+5HI84Oz9v2DKiAFKzvASgbsB0uqbx/NkzbNtGVVXmywWSJBHHMcvViqMXz5taPRH80N/sb2qCIEIUG378er1ivV4hihJhGFCWTRq13vShtlot+ltbG33fYGdvQKvjUuQpeZ4CFbqm4Dg2CDV1VeA4FrIsbgaWzDe/+ZsADUgvikjimDRJm+J06qvdiaY2S/AkTQijsPlQlSX1hgf00kJqmibPT16QpCmWZlLmySZcVRCFAaqsYOoGvW4XURCQZaWhFNY1me9TZQmua+N4zlU/q2EYGLpFGEYs5itEUebdd97Btm2SJKUGut0u/X6fR48eUSEwWSw4Ojnh5Oz0ahFu2Rbr9QrLskjTlCgOOT09pSjLhorptXC8Fl6rQ1FVXL9xg1poOEuGZVILIMoSRVkwmUwwDIPJZNxkIHSdwWBIFIV0vBaq4SAIKoLqojt9VssZZVbgeAaVArkokBQ5CI3cZLsOWRpzOR3h2A7z8YjT0TmKY5FRM5pNWAchjtvBdTqICATrCESN3u4hoi7jdLex3B3stsfw4AYFIpezc8qsYLhzQLvdxZAhySPSKqOUKiTHpUSlBFRFJItjUrGkzFOqvEKWdERZRlBoaKaCSJinZEVKWBWgwWBLx9AVSqHAj9fImoakmJRSQVXlXLu+j21ZVzkGTVcR6xLP0JuEvpgh1imC2DR2yWlOPF8RJvEvNF9/aaQbqhi5AiOHsoRCgkIEO1MbxpAoEAoSuQSVJKEhY2p6c9VNaiQ95c/+4q/5yz/9Mf/iX/wmotph8vhzQhvKPEBXBJSOiSzvcnp8DJrEq6++yvHx50RRzM5wiChKuKqBn+b0ezfptTrY1vd48eSEopjxO7/1n5GlFePLpxiqx+3bt/jXv/cdTidHuJ7G1+7dYP/te3waPWF7cIgiQ/tam+XFkuV0hbGjcffOdWaXM7a6BnHsE/sW/Z0+zx4t8echkqby1a+/zYMHR+SE9LsWk1lKlMfUZUW+SImjFWWeI1T1BnEAslSiqzpV3SBrHdel1+sRxzGGaaDoKtPZ7OdwAHVdY26cMuv1Gtu20TbL1Lqq2N7Z4fLiAt00idOEp8+ecffuXe7cvcPjx485H49ot1ps9/tNyXSacvv27Wb4mA2YajQaEYURcRLz7Og516/tk2YpO7u7OI5Dp92mKApW6zWz2WwTotJxHIu27KLpDc6g1bIadPSqSe++dv8+nz18jKJobG8P8P0APw7odXuYuo6h66iqyvbWFrpuUJY5vV67eTBs3CLLlY/ntdANGVGuif0AQSyZL0b0e1u8lA5VTaMsMvKNlCGkIpZpbWyWTVF4u9shCiOSJOZytUJVVSzXoaLht79sdvr8448Z2AZpWaIlc86ejnn3nS+xt/sWqyRhulrw5NEjAj+gKHIqoUBUKsyi4PTpZ3z57Tf4s+/9gLKs6A922Lu2z+nZJWkS4Qcms9kE3TC4f/8+p6cvCAOfJEn44Q9/iOs4KJrF4daQn/7kpyiqztHREXt7e1dtVEdHR5imiWFYWHbTUqXrOnHUoAJanspiMWcwtJBlmV6vx/GLF/S3t5v3bFksl0t2dnabJi+jKSSfz+eEYYQsNrsTuUgwBCizNS1ToCxWZJG2SRNDkudomokgq7itPm7LIPLnkOWYusB6OeI8WHL3zpvUlcz5xRPC+Tndndt4rYZVFQRrDN3AFHocP3mKKClIsoiMBZJIEC4pzk6QZZXrB4c8/OwZ0/kUQRYQJIHtXpc8TkjCiOPRcwbX9ynEmunlCUWaUuagaCoiJbKskxc5rumiy00vrCCBONSxjQ5hGIFcYxsmq/Ua12vxyiuvsre3z3I0RrdauN4W2XrFaHKEYpSojoSg0AxEocE0LP0xoqIRBv4vNF5/aaSb2wUggFDVyMgINYiiQEGGINQUZY6qSNSyjCg3ZRdQN099TUfRbagrbNNAsuAv33uf0eSEOs/I0wQRkYODPeoKer0tRKkii1dc2z/A1FXeevNNPn/0kKTI+ejxKbdefQN6Ika/w3s//BH9dg/TMAlCn8ODQ3743nv8ytd/ld/5j36Hhz9+j9du7CGIBufnF9y+scvhzdt8+vAR/nzOfLEm8ud0Oi1kVcG2Dc7Pjtna7mDYDobZYbVeU1NBUSIJCv46IctqdvduMp6s8FczijihlOrmKp8XUINUZxi6iC5DERfEfsQbr95AFARM07wawKPx+IoBA02D0cvloSIrSKrS6PlbjW1rtVoxnTbWOkVRGA4GyJKMYRp8+uAB0GARTs/OiJOEMIrodjoblnpjpZwt5sRRjGVbjMZjZEHk8WePqIqSWhDZGQ6bh4um4bkueVHguS6KKuI4FmVVslgsEEWRYB0zmUz54MOPeXF0xMX5BYIgNoXkNO+j3Wlx/437vPv2O/S3erxy5y79QR/PcdB1iaLIsW2LosgaZLOq0O/30FQBWRYJA592t814dEEUB9x95RV+9uARt199B9Mym1YnUULTVMIooq4rsjxH2bRINQiXirTIKeqK6XxOlRe4rtu0gcUhjz/4EY4iolgmebji9uE+RZIyOj8lKyvmixlnL46RyhrygnixpIgi1klCUQv4Uci1/WYw7+zsQN10Obzx5uucnZ0TBiEvjj/n2fNnrFYrFFVBN3Ta7TaDnR0U3WJrMODa/gF1mROGAVmWbuoDG9ZNHIV0e11UTePg4KDh62s2lmk3sgJNu1qr1WJ/f7/JCGSNWWCwvY3runQ7HcIN0Mx1XaqqQtM0vv6qRZUHxFGDJi6KhFSRsW0PSVQo05Ruz8U0WghCTRBHzc2kzlE1Cct0COKQa9fvcm3vLicnj8nzAlPTqaqcJMmoyDDNHuHaZ7mcUkYLsiLHX6/IwgpBjBiPzhFlyDOJ2WqNZRp88OGnzH2fwd4hd27dwmi3yKqCVRRQxz7ITYF7VRcUaUYtSsi6hqWqmKoDFViGRa3b7F4/II4DtneGvHL3Pg8efkp/uMXJ2TFJnnDj4A4gc+/efVYrH033uH7rVbrtAeFqgSIVGF4PTbcBBVVVkCSVEonFes5qPqfKw79/0o1IhUKNJNZICMiISDUUQlMBW6siuVKjiBJq2UgFdVWRJil+EJCkTdBHEkWml2PajsvB3jU+/fQB08mMPC94cXREHMccHx8T+2sg4uLkhL1r1/js008I1msUIeH6cBu5inn473/A9VaH//yf/ycM+jv87MOf8fT558zGMwLf5/HnD8nKiHdev8G9W9tYrs7Z+ZjbNw6YLefs9jvIUcj+9hZxVHP8Ysx6HhOFBf3+HoGfkRc1l9NpcyUua3RZRRQEbF3H92e0XIV2S0MqCwQqyrqpxmtCJwK1pJBXEoJqUCAi6QamZbG1OWWHYYhlWbRbbeq6ZjQeN3LORlvOsox080F/yW0RBaGp2duUYiAI9AcDjs9OieKYO3fuMJlOefL06cZhY7G91afVajGfzzFNE8e2Gx91VbFYLptU7Xx+1YUqiiKO47A9GDTL6qrC2Ug5W1s9VFXBNA22trYwDRtBEJnOloxGo4bkuLGXvqyqWy6XTGczPvrwQ07PzhgOh43/WxRpdzq4XgtdbxbQl5eXzKYz0s0yVdN0JElBUVUuzy9oee3GeTNuSjllUaTMCxRJRpSa0nbLbAa/qjQcl5ce+pcM9yzLMDbJ4tVqRRTHrHwfpJpWy0UtSgxJ52D3Ovdu3aPf6XN2dsyLo2ekSURFjR8ELP0VlQCG4xEnCcFiQZyEaJpCXRcsl3PKquD87BRJAkGsrhaovr9mNLokiiLCKGK9WmHbFpcX57x48ZzlYk5ZlEynMzRNw7YbW+Xe3h7z+Rzbtjk+Pm64N4sZZZlh2ybddueqovHs7OwqI1BVFadnZ8znc1brNb7vU25+NmVZ0m630TUJSKmKtFmeOzam3aaqFQzVQRRgOrmgyDLyKsHQJMrcJ40WLJdLkrrC2RpwMpoR5wJb2/us/RW1qtDfuc5220VWc2RNYGf3Gi3HQ1FXHB4ccvvOaxxc36fKfWRRxDX72F4Xz+5gmC6OqzEbj/mTf/t7PHzyBMW0sB0LTRMx3R66aTfdEEWB17Hob7Vp2waKKlMToyqQFaBWCVudLsPtXVxNwjFNhltD8iyi193CNlokWYkg5Ugy7O5cwzVEnI6NYGWYHZsb997BMVqogoy2yfgUpUCchKRxSMIvhin+pTnR36xExBq0GuqXOFhBQK0rKgRKSaNWdPJKQFRVNElBlVREZCpZoyxEWp7H7l6fxWxN1zM5PBzStk3KUsJyHJbriCAKsVybMs5xbBPXsRmdXeJ4AxbBiiyK2dvaIpHh6NEjJkfHCJ5HsqrJqzVda5t//Ftf5+nJcx5+/0cM9ga8fucOriTz5OgxX3vnbY5fnOE5Dq++dpunnzxktIgY7O9wcHhId3vAwa1bRGmIqctIZBw/XdDqyOiKRZ7Bw4dPuQxnJIGP41p89vyIKGoGslSzOc3XIICkNLeaLMsR5BqrZfPu/TsoqkpRlaiaxtr3GY9GFFnOerUm2xAwvXabVRgQpymWY6ObRlP+IkvUApydnVHWJRo1wWrFcrHE9312d6/RantkeY5tWVimeYUF3tnZodvroWoaTrvF2ekpz549o8pyXNshWK2xLRvVNFFkmTzL2NnZYbVaIUsyiqzgtozGQlhDljWWRMu2mUznjCZjFFnm8MYN1msfXdORJZm8KEjzDFmRGktrGOA6DqoqoyoqdVUSxQmj0ZjVco1p2XS6PcIgIokTzs/OCYKIuhaQJBlF0ZhNp1wufQ7vvEm1aUSqqgpZaW6cgtB4xJtsRgNRm83nXIxH5GnW7FGEDT++LHjy9AlPPvuEQb9Dy7EwDYXzizPSouD5ySmm6TAZTzg7PiEVBERNwbBN8roiCJKm+q8smKwWXI4umsCWLFPWJU+fPeHu3TvIShMuc91mIc+G1NlutVBUFVkSyJKIk5MXzGczfH/N1lbzUNjf36euaxaLBVXV4JGVzWm93e40TWZFjmYYmJZNGMXkRYlmGER+hCIrJElDX5UkhbIAQ29uP7bnocgyX7xhkGYhwXqFIIkUmchyfIEuC0hSRW9nmzzPybMSWVEhz3AtA1HW8CwHx9QpwogyC8nSNVGQUWY5aR1j2TvIloWExnI+w9ANposFRSVQ1BVRHF5ZY/0gIisqirwkLDPqosQRJY6PjoiDiDIr2Tu4jm1ZGIbJLI2wOy61IlFGCYoqIEtNwU0SxZRFydoPKCuR4Y3XObjxCholp8+f0d8ZYns27//kJ03LWJbgOhb9LY/DgzvomoEk1LS3d4hXx78gjwAAIABJREFUIZ474Pj0KYbpkGUxYbTg0WdHjC6nTOaXJFFCtJqjq/LfP3slNFINgFQXyKKAWkOqSJiGSVkLpHkOkroJDKWbkgSZMq+wWy62rSHLIr2eTRDOGY8mHF4bMJ+tOD49xtUVJFng3pffZr2cEoURk1mO66rIOpyeLbg9VLi54+G9+Qa3b9/k3/zvf8Bbt+9wZ1fgu9+bMT5dkhYp/+Qf/Qb/57/8X+kPOqTjMwxTYtfQsdWMRbbg8MZX6Fw75NU3XyVIUzLF4uad29iuh79esjMYUi5nfPDTv+Li8xFudQ1v6yZpUbM13Ob8kwuSIGc59VEElaLw0fSaNMsQxBKBGklqLmRXcoymNMvbDTpY03WyNMXzPOIwYrVcXqVX67pG1VR2hkPm8zmj0Yg7t2832QUgCgI0TeXk5ISWYbC9PcQyTaI0ZTQasb9/HUN3WCwnpEFIleRs94eE6wAEgazImVyOePutt5BFkQ8/+gin5TFw91it1+iGimUblFXO02efN1KSWKOp2qZB66UfXWC19vnRT97n/PSM7a0eeZry/Nkz0jSnyEuKsim7rsR6426R6XW7dLtdBKEmz5tKQsfyGF1M2D+4gbSRtFbLgHVRMF/MOTg44PrhIcvlEmqRXncAR2fEaVNInqYpoiAQRzGapjYdtlGEputUZUmapqyjENuyEeoasYKijIniFVmWEScRQRCxXofkaYXT6jYkUXPNMomYRks81+WrX/sNFlkOVLiuwbPnTzHWCwxNZjWfoPkJmqjiByGyYhLFAbdv3eLPv/tdvvWtb3F0dMxsuqDTbmHbFvP5AlVVqMqCLAkRBZF33nqDTx98xmw2JQh8FEXh9PS0wWMYBqouY1sOqqZiWxYXF2Ns26bTbjPY3eHBw4fs7OxwenrKYrlsMA6SxGgSkiQJcXSJ53WZTi6a1K/vsy5LsqCkiAMEMUM3OtTU6OsKzTBQLJsirzC0DqZt0O32OX3+GbFcYSoak8kERJnd3QPcPGM5n7Kzs0tW1vjhhP+LuvcOsiw9z/t+J6ebQ9/OYXp6ws7sbPIugEUOBAlYEGmRhEmaNCm5SJmkZJVJiaItWbJsl0os2aqSS5QsSIywxWSaACgSgUgEsGkWG2d30s5MT8fbN4dzT07+49xtwS6wALD8B/1VdfXMmVtdt2d63u/73vd5fg94iGoVyZPQ5AGBO0JKAmKlwGg0wFCg1jqDqhnEqIS+jzMcsVqukJZLKIrK129c4+h4Rnt0wMnJIWFtAccNqDRqKCSohoVWbRDFDkmcQpahGzrlcplKtUFv6DDo3gXxLErZJIsl4sihsdTk0vnLqEpKsFglEVKajQqarCEbEoqQe09emQ75nY/9Hg+uT/ncuM173/VdhI7EOIqQVIneqE06TJASm/Kl8992bf0LVejfXCIpoiAiZKAXSgTkJ9YsYy61hCyVSVOZJJHQCgZJFqMbGhkJzYUay606WSSRSSIb22dIsoA0hkqlyHDq4zsZiqqh6glf/9orbJ/fJLTHWNvLBHYPQRKotxaQEMnimO6wzxNPvIVP3P8CcRziTgesNksEkUu5uUhZEzFfus50MGBpYZnRcIZRnOKHIlp5haWlGoquI6sK1UYdp9vmtZdeYdYf0NJEguEhe2MPbfECt964gzOZIhCSxR6TcZ/AiwnjhDjOgBRZFsmyFFGUT6V7iioTBLlrFTiNtNM0jUqljOs4ZFmu8rEsKz+dynKOM8hS+r0+lWqFUrmM7/scHR/nDlxNmw/oDErlCnEUn7Z6Ot0uVStXbvR7PSRNyfua9pTrr71+GqDRarUwDYPavI/vzWFrkiQxGo149do1DMNgc2ODar2K6/rEUYzvh9y4dZPxYJzfUoIARZYpF4uYiwVOOj0SISUTUgqqSL1aYX1pgXJBJ818JFGiUqngOB6CKGBaFoHvn0b3pUnOhtd0Ez+IQBDQVBVN1xHFnM2exDHiPHvW930kKd9MVVU9ldJBrgorlUs4joOYgiYriJKVJ2BNbaqV/DTc6Q/YWF3n+LiLYeqIkoAbTIiihGkcsrCwjdrQqVSKdLptZq5HqVhiNOjRai3jhkfUZAXHj/L+ua6wuLQ0V6WJ+H5w6l6u1Yv0+1061Xxo3htMuHDhAvfu36e5sEClWsvjB8tldFXDMAwm0yl+EOKKLpIs0e31TmW5umHQHwxYXl7m6OgIVVXRTYOiZuC6LvVaPQ/X8UIMw2BxcZGDwwPKtRrb585hj6+TpDGSLBD4PrIm4vohdcXECSGeTKmWiyBAlCYUKhUUVUIQMrI0ZDwZY1oNKtUaWiGlPRigGhaLrXVsf4IkZpiNBeiPUERoLlRArUFSYjw4oNc/wSzWWFvZJkbgfvoKk34PUVYQsgBNVxCTAHfQw5700Y0Cvj3G9xUMRYA0JSNEFFMkKSOJUop6kVKpmqu+hBPGXoQfOjQqFarVGkkgYFgKZ7fPM7UPmYxTslRkdXmHBDBqC5xbe4w//urLfPzjX2YUv5XyyVMYpkTZWqS4bmInLr3ukCJ1bG1A4H9nULO/MK2bzVQgzSDNQEhUUkQEXSUht/gLBQtBstAsHauoUyo3KJYqVOoNNEVB1FQqBY2FaoF6wSCbDqiVVVZXF9k/PmQwmtColJBEkdu3bqNFEqqYgaFx5twah3fvsF4tQhzR2t6k1FxBFFSObr3KMy/e5f3vexe793YpmAJPvvUd3N27y+bqGtfuvcYjj78XUVRRYw9vOmJqD9BaC1RWt1jfOMvCxg7LqzsMjg5J3IRY1TF1kZWVJucuX6HRWuP23X1CIeLa6/eoVqsIsY+EgKpFVBstBh2b6cQljgUyQSJNUlRVQUwFFFVGUcT8FqSoqLzpfhWoVPO+uWWaaPPUKmNecCHP+czSjPFkwvLSEp7rEkcRpWKRYT9X6ZQKFrKioBsGo8mYcqV6mllZq5YpF0skcczt27dRVQ3dMoiSGNKMa6+9xmA45PKlS6iqSqlUolarnQZ3m6Z5Srhkrr+vVCuoikoy7/nu7e0znkypVCpoikIURdiOg+M4pBm4noPrBZQL+Wbkei6GobO0tJirePQcGxCGAZIkMJ1Nse0JkLK03CLKJOyZgzSXsjaadQqWhm4oXL97n9WtS0BGGARoup4XqLmuPEdRZASBT5okyJmKJukYmkmaQJomkOVSSWR449ZN3NkMw7TwhwOG/RMunFsnTAUq9UU0w5z3pg163WMmoz6e53Dc6Z7ygkRBoFAsgSAymkyoVvJUtM3NTQ4Pj9ja3GJtbY3pdMrm1hbdTg/TsigWyxwdHWFZFq7jUCwVmdpTms0m0+kUPwhwvTy6sdVaZHVlBcuy0DWNSrXC0vIisiyxe/cOWZqgSCKmYVAtVTBMk5NOh2qlxPr6BkmcUq838f1cwitKEqIocLbYIcgSVMFA1BQyIdfqS2aBhWozD1CRZRIxJsl01tZ28N0ZC60W1VoNSHDsKbY9RdWLeKHNdDLALNRpLizTPjgkTBMsq0YcpXT7PZIgQRBVnFhgOBgwPt6nN+4xHA/ptPfZP9yjO+hyeLjP5GTK8XAKpsbZrfMUijV0KSePqrJIlsTESYI4PxCIioxmWMSCgWiUqS+vU7BMqrVVJNlANXVETaPWWkBRZNJMRJQVVEWn3mhRKNWpra4ws0P+8S/9Wx67/A4OZgG9bsCZ5oBaY4nH3v5B3rh1nSAIUaSMFBdDjSkWa///a90IIszzlokUn0QyQC3St/uY5QqOH4OU/+cKwgyyPkmm4foZxClenFHREhpGxuKagRMFNMs1JjMHS9PYObuNLqXcfuM2qpKRTnZRypss7TwBro23dMCq6ZImBnKlSCpZBEHM6tYZJgUol5s4M4dLD20hagFPfuAjfObf/S4PPfp2ZpMRkefTWlnn+OZz6LLFw4++k1iq8vRTz/Ppz/4RH/yubc43Yz776Q4//PO/SCKvIZES+UPavZdobT+AKkT4DBl7MbYfUaup1Kp1pscJkZyiVUwiP0AMYlIRsiwh0jNEIWa12SLizVDsiPbJCbIsE8URtXqd0XCcc1fmMjpZUfJrs6LkfHo/wHdcREGgUa3RbrcpWQVG43GO6E1zPsnUtjGMArpukgK9Xodeu0MchLTqDerNBv6cyWOZ1qmefzAYANDpdCgVS+iGThAEOI5zatzKsgxDNxgMBlhmgSRJadYbrK6uUqvm5qNut5ujgVUNSVZQERFkidnMxXVzQ5iqKbRPTmge1SmXy8hSzjcC0ObSy9FgiB/4/w+E82DQZzhIuPH6a3z0B/4TkjhHEb8Z+p1vFiFZmhHFMcq8Zx9G4SneOQwj0jQ7RUKbpn4a5t496bC5vcOdmzc46Q0omAaCJHH169cwjCLH3RtcevQhQlL2vv4MoiwxcWfIqkJrsUGtWuX666/x8JUrHB0dc3h0xMWLD7C6vsbzV5+ntdji7p27OI7LlStXUBSF+7uHPPrIEzzzzDOc2dphY32dV155hXPnznHjxg0eeughXnrppXl8oIMsy6cZAQeHh6yvrwNgGMbpgLbVatHr91lstTg+biPLeaiNaZpMpi6mFVKvN5jZE6xCCXM6ywUAso5MjspQdBNF0kmSHKFhFmr4yZA0MVAVlTB0MK2YTucYkZij9iHLq9usrJ2nd3xAud6iVGqgTDMCJaPfvUMQ+JSrJSJ/iDcZkyU6RX2BTu8u9azKbOpyfNhmb3efYfeA5tIWWZSx2z7EtqeEYcTACaiWWghSxp3bdynX1hGTENKETFQQkgzVrBK6M7I4ISPE9x2KpsLB/bt8+WtfZejB7rjFY+eX+YWf/RCLWxu4joNacGktbWEV60ThGFlUIBVRE5Vx74SNqsuzz36SkXeRmnhAaM/IEp8kEZEkDVXVESQQlBaJp39H9fUvTKH/xpUKOmgqs2iKWigSZuTSL1lGliUyUiyrlA9B0pjQc0GSEUmplousLDW5Ne6RoCLIKlZBwB72UMtVhETMueNxghlBOUoxalXWts8gd68jqjKCaYIsIcomtcYCQbvDs89+HUUuQFKgu9ejeb7O29/xPr7wlT/gve95H5VKFed4htC6gK5ZuLHBv/zY7/OFr17Fm3VIjft84Be+j3elTyCIECMhhg5Hr73Ea89+jfWywebWOpFa4blrbyCbVVBsDF2hWSvwlscf40tfezpPSEpCJClD1XT0kkHiujiuR7VZyREGwYhms8mZza08wi5NqTfq+SmuUMjhW2GIVSjkQd4rK3QQmE6npxz6QqFAu91mOp0ii1BrNEgzKBYKdPs9QGQ6symVDBRFJg5CZo6DIstUqnWSLGXUH+S4hHqOP/aDAEPPf0B9L4+7C/xc+RKGIaVSCU3XqDVqOc/cD1hoLWIViuzvH/H155/HMAy2trY4d+Ei9szh81/4EpPpON985P+QWypJEr25uqfRbCCLOUJ4NpsxGo3wfA9VVfPNo9dDFnN0hKZJREWTz37u05w/fw4A+U2WDQKSmCLpub78TdVPkiSnMtYoCnFdF8hnDOOxjyjmvfzrr7yMpikkcczQd4nTlDSO0HWVte1lOuMJ4/GY3mhA96BNKgqc2TnLaDxCVmSODvZRNY2Xr13D8zyWlhc4OTkiDH1EMnRV4X0feA9PPfU07fYh1WqZfn8AQsbZnW1cZ0YQBVy+dIl7u7vEcchoNOLM1hY3bt4ky/LBcS6HzGcbzmxGa3Fxjmf2T1HXYRhyfHyMouZmuCAIWGg2uf3GG6cRi5VqlfF4zEKzydHxcf7vkuRxjZQFyAKicIpVWKBYrqFpNsFMRpRENEFHkmOq1QqBG+EHCfu7e2RIpMh4nk+SjKlWavSGHqYhUi4aFCyTkT8msPsoSpUUnSgM2D+8R5pK2M6E/eM2u3fvou2dICAxmeSZxqPZlDAVUUWFomLSGw3pHO/lMwtRQJErKLJJ5EV0egNE3yfKEnRTJwoNbly/xtktg889s0a58HaOT7r8bx/7t/y3f//vU7EqeHqP2BcomEUCJUUvGGSJR5h6jJwBdcNnoz4g6455cFVESYpcevwdDLs3EaQY3w8w1AwEn6L1nQkmv2WhFwThV4G/BHSzLLs8f1YDfgfYBO4DH82ybCTkfuh/DnwYcIGfyLLsxW/njSSpClJCnIUkikIWxFDQMctl/CTFDSJUzcAsqWRizGQ6Ioly63lCgikotNZX2FpbJwVCRIauw7nz2xzv7yKKIq2zDyJbdQ7u3aXZWqBZKRKnLs5sRpqZyIrJZDhA0qaYlkOY2Bw7Pu94++NYlszBPiDG1Jt1nKMTqq1lClqZqi4xS0UqF/8jnrz8Dib9+3zoh34SX2ySxTJqbDEadsk0g6/96dP8wBOPocUhey9f5eZrbzANYwqtDV58/QhPMxBkHasikYY+RkEj7A55/pnXcYYj4iRDFQUEWcqVIB7IiolRbiJLEvVaiWQSIgkSB0eHVCuV3Nzj+oRhkA8mDR1Zlpk5MzY3N3FdlzRN6RwfY5omuqYhSxJPPP44X/zSl+YpUT6u65OmKe12m8nEZmrblMsWipBLCtViiW6vS4UUUZY4d+4c3V6P4XBIv9/n/LlzeftF007xAG/2+ifzbNhSqZQX60ygWCyQpSmmaeZpVpcvMx0O6Ha7nHR7aIYJgKbpVMplpDTMDU2CcIpnDoKAzskJlWptzuBvYc1JmIuLi4xGIy6c30HTNJ588gmm4yGz6ZCVlSWuvfoKkDs+JUXLJZaKmHNv0gxhLh5Qk4QojFBjnRLkLl1RBEHEm7lMJhPu7e6y2FjgpNemVCnhei5jP0ARBQ77fdTj+yiawI3XX8k3Z1I2N7cIQp/93V2ajSYzx0GWJBBzLPabtyRD1ylvbfLyyy+zvrHJuZ0dprZNo16nWqvQXKhz3D5EkmU0BG7efIONrTMcHB5jmWU2Vlc4OjzCnTloioo7c6hUKtiTkDSO6LTbhHGM53oUS0UMXUeWlZyCKkmEQUDBsvB8n2KxyHgyQZ47gRVZZjQao6oqrueRihKSppLFMqkESaIhoNKsL6N6EwbaDDua0LDWcCY9qCxBplOollFVi/FsTJb4WBUVUXKwnRhVKZBmEr3RiBQVP1TojQNOTl7DKtfZu3eT+9dfZ78zYDp2iAKRUJQZTzziKEUSM1IBBFkj8yLIMiIvJBVjbt6+ydLSCq1GlU6/h+METGMPL3BJZjMCTWI1q3Jmc4WKeY/e5DpZ+t38nf/hEr/+P0e0ahqf/Piv8eG/8uNUK9u4k1vEUogmGmTkm2k88xgObH7jE59h/UyLBUMklB7iZ/7u30c3S7z+wnO4U4csChiM20iyjSRG6KUL305pBb69E/2vA/8C+M1vePaLwBeyLPsngiD84vz3fxf4ELAz/3gL8K/mn7/lEggJRY3EqpB4QzzZpLy6g2RJNAoFio0F4plPHDr0OodEWYLjzYijiFQSQVK4decOO+USmmAxHvrsPLDMdP8+ybBPrV5jNh0xGo/pjWxIIA1cRK3I0s7jRA+eQ7juYNodZk4fQhvPjVlcWKRYLnH1xedZaDYIXYfD4xPOXLhIIqY88rYnuXHrNVo7j4OocedrH+fMownnH1R46XpIlsUgjfnwQ4tc/dI16o0NJD+kt3uT16++yNntDS5dOcvNG/coL6xwsHsH34fhoEvmhoz7u/RnKjMvJEf9iKSKgJhmiCGMgh7NVh1JFAkjkR/6kf+Uq5/+FHv7+6yurBB5IWMvzCPcyKjUa5imiWPPMEyDZrXG1+/eY+w4hGmKGMeMZzOK1Spv7O7iRRGZpCDIClOnz3gyIY4CqtU12u02o3GPKxcfwFBzkmLS6SJqKkEUoogSb3vb23jmmWeoVio0m03qjQbDwYD9gwNMw6BULCFK4mnotSiKc21+kTAMuXnzNi+9/Crnz1/EmTmkacrS0hKbW9s5Trg/5PCkzde//iKWKrIwT7YKw5AzZzbypLL5iRxgZttYlsXS8jKWac5NRRLndra5e+8OznSEoeen1Mcee4wvv3QLyHX06fzEG6UJiqIgnHJABYzCfzCjQc7sT9IUS9FymeS+ymudNqau4Iw80jhC0xV0XcfUdXoTh8CdkSKgyTpmXWFvbxdBkbhw7jzdbpelVouTkxNMw2DcH9DrdBjPZiRJyuLiIuPxiJ3zF1hvtXj66adpXrzInTt3eO655zhz5gw3b9zke7/3+7h56xbFcgnLthlNJ8xuTVhdW+P2rVt5eIxlMZ1jLk46HYqlMmd3dnDnpMxWa4Xp1GVzY5uZY2M7U1ZXVxmPRhg6VMolwigj8EJESaJUyof1URKTRR6pAGmmYuhLROGE/uAA2xlTEEU0rUSxoSHFYCgV7t67zsLSTg6KSwKKusBglDKzPSoVC8sy0Q2dTueEUeeEF57+Mr4XkmJyf/cWznTKzI9xJw4D3yFOREgl0iwhyTKiJCGN07zokqEjYmk6SZRn4vZ7PeIoIRMSslQkiVMmtodZ1FhurRKTsXPuLI88+VYwBZ75/H2k9Hf573/mNhWri3nF5V/99mcpr5zlIx/+y4CArAr4Hvieh6KY9I7vY3cPePdDD/PY5Ud4z4/+GI+c2ebWvX3u3brBXq9N5EdEfoCuiZhqESNz+U6iR77l+T/Lsq8Aw//X4+8FfmP+698Avu8bnv9mlq9ngYogCEvfzhuJZA1UlTSNcJHIChYpKYqiUa00MI0C1VaThcUFTN0gjSNUScRQFbT59TG3W2f4noumKezv38eTBTavXEIsWfROjihXarztne/l0gd+gNYT72PlwXcjKRpyYjCVGsT1B4isVUTVwnNcDF3n6aee4uK5BxAEGcMs4Lk+kixDCo7rEMYp1cYCgqzgjw4Qwzb/yz/6IVrGCVZ4wqJm86EPvosvfvEWj7/zrfiTEbdfv8qTb38rcRxx/fotarUagpCzwJM0IYojVMOjUBO4c3Dv9MqcpikpWc6skWWsUoVMkNk+e4GtjU1+5WO/wmA4pFwuM7Vt6rU6C80F6o06lXIFx3Fot9vESc61mdo2axsbVCsVjDna+E01zJvmJ9d1mdk54bDZaJBleexZrVpEkxUkRaHeamJHPutnNhmPRtTKeRvJmc04t7ODrulIkkR7foWvVavIskwYhciyTK1Wo2AVTgec/X6fu3fv8sadO2RZxt07dxmPx3iedyoNPTw6YjyZcPPmTZrNJqqSt0UMIw/ncF2XIAiQFQXDMCgWi2xvn2VpeZlzO+colkqc2d6ec32mHOzvo5sG9nSCWinxhS/8CUCOxoZTgmOSJHnhTxLiKCKOUjwnIIpSwiDEcV08P1cNBUGAN7+9eP6cbCkIiKJIrVoFwLSsfMgbpuhGAUUz0C2D8XjMtD885QJpmpabsaKY3mBAEIaIopRD1VwXWVLodjvU63U+8IEP4DgOo9GI9hxH7Pu5ycY0TVzP44m3vQXV1JFkBVEA08qd1NPpFFmW8TwvzwtOYm7cuMFxu81oPKY/6PLIo1dASEmSGNM0c/mkbTOZzOj2+kiiwHA0pFgsns6DFlot0iSGLCETPchiZCmjICaEkc0omuaxjJ6DoSukGZTLVYaDLnE8YzA+ptfvUzCKeF6EbXuMxw6DgU0Ye4zaJ8x6PWbDAS889zVu33qd+7u7HOyfMBi7xL6MECtESUqSZcRpQiLEOKFDKiQUNRWtVCBWJVAkhEQhFUR812MytnODZuBhWDIrC1WW1losLi5AFuM7My5eeARf1nnHIy0un7nOEw+HvHqzRxY6vPL8U8RJDJIAiUrkBrjjCcFsTL/fpj884JHHHub9H/1BLp+/yJ3jNqEzgiQkcx1cd4hpqpTLZSyjSq1sfDtl9XT9eXv0rSzL2gBZlrUFQViYP18BDr7hdYfzZ+1v9QUzWUbKRCauR1CwUESBLJ7hu2UMtUEaO8iGgedGiKpMMMfDioKAqcqoskq/02G3WuFk0KVeXiZwusQnOrJisGBKKM0KmCWmQ5ejW8/y8itfZTD2uX5zj53lxxGL8N3/8Q+wtNpg3N5n4jgkdsLo8C4nS4u5Fd+esrXWwh6MMAomJ/t7XLr0MIJskCYJ/+bXP8tHxku896/U+NTv/DBeW0fTS/zTf/qv+bn/5pcJpjb7917miXe+A2/msXzxCne/+jXu3LiDJoFVb6LNIlzXQxBFjIIOUgPTcgn8MLfhRymSobBy8Rx/9cd/hk988vd54+4JetClpIJmGnkxVFViUhYWl9jdvcvh0RGFQmHei9aQZZnxaMRxp8NgOGQ6nbK+ukalmufD2rMZG+vr3NvdxZ9fz13Pw55OeeDiRQB251jk43Z7rlsXKBaL3Lp9m1olDwyJ4jjHIHQ6LCwsoGkam5ubOK6LaRiMRiNmsxmaqhGFMaVSOe+dd/qsLC2TtlI6nQ6GaWAuLHDr9m1euPZaXsRlOf/IYhYXlxFFgdDxqCwvUTSsXKFiGKiqgiAKJGmMIipIosD2mS1eevFF4jDAcR3OnNkmCBxGoym3XnqVlFwdkGQpSZwSxTG6pufZsUlClMSIKAiIIAoEfkSa5sPGMAqJkxR7MuXkJIe8bW1tcrS/hyRLVColZFWlWSjkWbn1OtPJhNbaChlw7+4d4kygYBVP/RBpmlKv1yGKKdYadOIOmqVw5swZxqMRURwym45J4piNzW2e+toz7Jw9z3Qyo98b8sQTj6GqChcuXObM1lnsyZTAmxF6CS9cfYb1jXUm02kODZzz6IuFAkGcZ0I0Go35jKNP4DukaUKzUSPNyIe4pknBLLG7e5dO55iV1TVc1yVLU5aXl9nd3yM9L0AmYUhLCLKJZOkUyyuMOh0aZZOQkNSL8cwVEHVKhRIrqxVsu4dpFpEkmTCKcB2bXrdNFAYYRhOrVGPvaMbLr17Hj1xmTszEFpm6EMcuMiJKpuQsKDJiOd+4gyBAUhWCIKaoS8RpjrCwRBkJASQJ13VpH7dJWymKorBGnPfDAAAgAElEQVS+coaFWpnRoMvMmRDGGk9f/TQ7lx/mJ3/qn/G5P/xVVnZk7u4foZoWH3znCpHT56kvfSJ3YZOr4zRZZdofEiYxS8ur+HFGGMQc3r/HdDJhao/ZPdjnqNNBEAUMRaUogGVO0TOYz7W/rfX/9TBW+CbPsm/yDEEQfgr4KYBSsQBmkVkSQaNGKRHJEoimHom/h90toDcqjO0BvjvGc1wySSSMY3RNA1FA1ERs2+G5125x7mwZXbcohhnt219FmyzSWF2mvvgBMBuUTIPB80/xvR9Z4Np0xC9/fsQf3rlOltj86u89y+qmzw9/+P18/4/9NcYjHyGa4UoJznjCdDRibElsnNsmzkKeePxh+ocTCmsKAiFq4SG+8icTXn/hi0yFAgIpS+tn+bmf+Xu8cvVLnN++wPaDlzg56KFmNkcHDqZhMUj2ySSVyPUoFS1WFlfo9doQF+gNbhLEHkmi8OST38VHvv8H+eQffZpXrz/HP/tffwlDNugdvUG9qJGlCY89fJmTkxPceQrUm5K6t77lLZycnFAqlYiiCEmWcV2XQqFABiwtLlIsFbEsi8lkQmthAUmSqNdqebB1mPfAdcPg/t4ea6urrK+tkWUZq8sr3N/fYzwa0x8OsG0bQ9dzkws5GGx7ext/PtBTlFwhFAT5T2u1Wp1r1HPomqZprC6vcPP2rdOc25k9Yzp1UGWFLEkxdYNKuUwSJwS+l2u9qxXG41E+d0gSFhYXMQwz7/sLAtPRAFnKWzEL1QKXL2zz8qvXcKcjZraNoRexSov8wb//Cj//i3+bV//lv0CW8xMpgkSehZMhqQpEMVEaEobz4O0wwgvzk58fBIwGI2ZTm9euvYo7HRNFPufPn+Paq69QnCdW1Wo1inMp66XLlynVqzx79SqKaqCZBTJJPlUFyXFMpVLBdRxmrodRsLAqVTzXpVQuUyqVEQRhDhcr8Pjjj3NycsLOzg6aqlIslVA1BXs65Oh4l8k4l24+8uiTjEf9U7aRIIpomowoqvghyLJGpVaZZxssMRp00DUNUcyIwnzTs2oWURjy0ksv02xW8IN4fosJ2draOoXmQQ55C8MZSFOcIGLoBJjVFhkqqq6jSiXs6RDTMOlPB4SEbKys4zgOU3vGxuY2+/fvELgTju7fozN4gbv3BvRdn8zLneMuMWEqASKyrBH4AQEhXhySCqCho6oKqioSxhGqrOD7MamUIYgifhBiaTp+EJB4PnGWYts2q6urGKbMzBnS63cQKNA+HhLMBPCvUVq4z4/+yN9AKMnIqYqmqDz99Od57aUXefbr13j43AokKWc2dxAUDaUi0ul3MQsFNjbPo8oCqipStnR290Z0B31mvoupSSBOUeUBuiyhfPOy+meuP2+h7wiCsDQ/zS8B3fnzQ2DtG163Chx/sy+QZdnHgI8BLC02sxABFBVJ1jBUlTBNQJJQiwXcIGQ6jzUbDU6wJ30kWcK0TBRZwYsjZn6EKIDtR9zdH7FSkbhx8ybrS2W2a2s0H3wnYmOdRC1CqlJdeJh2e5+VjTUeWixy/Z6Bm0pESo/HnmgymtzAn/ro1UViWSMJfQxdRauXcewJvaMDyrUSqetSLRXJSBGThMaChJ5W+OgPf4ja2mUyKUAUfUZHfXbO7VCsVCDTiaMIbzrh5Rdfp75Yp9lsYOgqM18m9hy21xaZzU6YRjNSfDZWzvPf/Y//mJ/9r/8Bz/zCz9OsiJRTm/riMu2DPRabTWajNtVKhXSORyhYFggCpmngOjPG4zGiKOY/sGtreY+8VGJs26Rpiq7pp+CzN3NhoyhC13Vs256DrwQMw2BhYYHVtTX6vR77BwcsLeaa9TAKqVYqpyoaZ+bkN6F5tGGj0TiNRQzDkH6/TxzHrK2tsby8zMHBEUEQcXLSnQ9yx5BlWIUC3W6Paq2OO7MpWmbuwI3yzadgmkxGY1zXoV6v5Wz8KCIIAtRIwyoUEAUR3dBJw5AoTThuH5OmGZZV4GD/gGqtSRB4HB4e8tCVK3zi//w9IB/GJvPA9GCuY/dcL088i2PCMCIIQnzfw3EmRHHMSafD1eeuMuoPiaOABy9eYPd+h5njohkWiAqSqGAaBTw3IIpTfDegWhJ4+OKDXL95g3K5zO0bN6mVcwmoWamg6jpuHFEu5lp4BIFypUKlUiGOIu7cvT1vEaU06g2WFhd56qmnkGSZarXGdDohyQKu33qF/+q//Ek++ft/gKapLC0t0e/38f1cgdJsbmDb3lxh45PEIbY9YTQasNhq4ro2SRpRLtZxPI/JKJ9/lasFoiQhSQUUTcX1PTrdNqqizFlGMrGYkWQ2JFOUMCLzXSxji1jUSEQDRVYR3SmhrGIYGqHvsru/iygpeK7P3ds3iKOYiR1y/6hDd2wzdB3siUfo56gKRIHED0CCWBJySKIgY6omQRgQ+AmkEUnmI0kaJvIcWqeSxi6uGBIHCbqi5uRRXUKUc9GBZ9ssFMoUazUCzyHKqhyMRoRJwrq2znMvfZH6wgZWscDq4iqqbGIUShjGCM/NaNXKubkrMsgSgdl4wnjY48pjj1GyGjj+gDgJKJhFvCCkUK5QM1SyYIQkWQTpjEySvqOC/ect9J8Cfhz4J/PPn/yG539DEITfJh/CTt5s8XzLVVERIg1N1AgFkAwVQSnSOnuJOIwQvDGO5xAJEVbFJIzkfE9TRIpmgTDOQBBptZaIIptXb99gwZxgZWUEv8vR/WssFyqIVRUhlSg9UOGl/6PI+88v8ws/fZF/+Eu32esJfPdHzvBzf/MKey/f56u//9u878f/Fpcefx9f+KP/C8M0GHW7PHTlAo1alSgNgZRUAwgReiPkTCXR2tQvPoJUWGR40iU4GSIIOpWFFYJEYHTnNoutOi8enfDEO99L+/AuulzLuTTeAbE7ZTSdsb78EG/77u/j+df/HmEi8Nd/4j+jYmkomozj9alVGihKkaW1Aocnd6mpMqQx65sb+EFARobtOaimfpo2ZVkWkA+Cjg4Pc3esprG+vs5sNqPb7Z5y6XPioo8syfMZgsBoNKJULFKpVPLbFJy6aK88+CB7+/vYds6Qf+POHS5euJD3kGceo9EoN02Vy8xsm+EgH/1U573qo6Mjkjhl0O/y1NPPIssSllUgSWJs22EymRLHuWlodXWVwPcRxLx1c2Zzi277hNnMxrZtDo+OePihB0mSBM91qdZqhPOEpEqtiixJ9LsnBEG+gZ/Z2qTd6VEoVnjfe97DH3/mc2h6/v3lYdv5KT3wfSaTSf49eR69QRfP87h69Sr379/Ht3PNeJqmlCt1NFWm1mzS7XZpNpunm16jVqW5sJDn5VYqp6fp16+/zvu/6wNcv3mDqW2jqCp+FLK03KBarVGtLhB2Ujonx8ShnNvy1YjGksX58zscHR8jitk8vD0mI0NWZCaTCaPRhDB0eee73sbI6bG9tcTg+AjjXXlAies6CIJIrVZlNpth6AUKhQJRBLYzxjRVwgj6/T6Oa9Ns1kizDFlR8HwfyzQZTSdI88St2WxGFEaESi45lVUds5A7k5NQIlQTEkmhUlrBHY2wChL4IeMwBVHFUvVcASaDJlh0u8fcuXOLkePghRlTO+ToYIDjx4RISJmGLEckQooQpyiqiiALJFmCLMiEYUKU5Nm5QgphCJIkkhops8hHJqFS1kEwSVEJAx/NsFBFic7YIY1sHDuXA/eKRfzAJ80ikCx0S6Yz6KPoOpkgoAoQTnXcwTFJkrK2tkq7c8zdvfuMOwpb2+uomkEUgTMb09rcyBOmBIHOcIiqFCkXWiy11vFTGzMdIqgycgBZIJGqCd/J+nbklb8FvAdoCIJwCPxD8gL/u4Ig/BfAPvCD85f/Mbm08g65vPKvfrtvRCub2L0EXRHxYzB0i0ZrjWwevxYkMYgCqmUQBwmSn19dhCwhiEJiMs6fu8TewQGi5+DXDBRX43Z/QqlVhcltKsU66mCItv4Qsqjx7u/7AX77l/8nLr1lnf/9n19iRodyrcJrf3rMb/7alxCkIo88+W5K5x/AcWaoqowf+Jy0u6wuLCGst9AzBYiIiYikIU+uJWxsP4EUONjt1zCSGF3XMBsVUgTuvnaLB7d3uP76M6iYvPryn6LpJYpnzjMYjSmuLvOeD3+E4/0uv/ZvPs6tg1+mf3wLScoQMxU3OqFaXqLR3CIjnp8wAvyBi7JSRkhcrl27dho4omkaqqqyMA/q3r+/hyDkmvlyuZzjZT2Pe/fuceHCBXTDoNftEgYhyyvLaJrGdDpl0B/kyoQ5SvhNbbyqqKe6at/z2T5zhulkyu07bxBFEaPRCFmWcVyX1dVVrj7/PFEUUSgU0LXcch/4ef9ZURSyDEbjSZ5eBEiyzHAwY2rbWKaBBFSKRbrtNsVikXI5L0aH+3v4XkCSxAiCgm3btNttClaBRqvBaDymWMjVH57roaoKzblCxzRNkiimVD5kd++Qr3z5i2xtrCNICp1bIz7x7/+Agm5xcP8+9mTC3t4BgiAwmU4Jw5AwCSgUSjRqNTxFZzwcImQwcxyajTWq1QpSlhKEHlEUnUpMx+Mx1Wo1RwfU6ziOw9bWFsedEx5++BGiIGDv3i6yLJCkPs3mAs89/zTvfv87eOd73sZb3/ZhPvi+9/E9F9Zx/AkvvHiND33Pd1OpLeD7HqqW/71bBZMg9PFCj4VakQtn1ph24Kd+4qf5W3/nH/Hx3/139LtdisU8NHxvb4qqqFRrNRqBh66r+VBVzr0sakFF02SSOA8ZWVtbI5y34IyCxWAwyEmykoQk536GjY0NgighTSWkLE/3EsW8/YookWQu3iyjXADTMFENC2dmk4YzpvaYIE5xnYTb97oMxw5OmGHPQgLfh2wudU1lZEmnYOrEnkN35pBkEZaqEfghwdzIBpAUBGRJxQsytCgms3TSJGbm2MipCoaOXlDpDsc5MVczEcWAjADDWkMqW6wIFSIiZKVEb3xCTMZ++4juYIC3HlKpVCgWTUrlMotLi/ylj/xlvvLpTzE82OP4YJ8MAUnSGIy79EKP974/Dz5ZXF4h9CUcMaXZquL2BogyKKlKmIiIkk72Tbvkf/b6loU+y7If/jP+6P3f5LUZ8LPf0TuYr1iUEBVIIhe92ALRwigWCEWR6XScx9ylVj4xDwJEKUCWZJIkRZJVVlYWuXv3JoIM5YqFr6qoxTp2lvDazV0uX97hma99EUtUWNi5SWPzLOryKj/0N/823mDG7/z6v+bufYel5hEPXHoHP/HXlviNX/kUf/xbv8V//g9+kVq5iGEoVEsWwXSKMh/UJHGKFAQ5WtkKefR73oagSLSjEbWFMpJUQSlVEPyUP/3Mn3D+4gPcfGMPN0zpHB2ysbnO5vYDZGgkbszeiy/w7K07hE5IxXS5vruPomVIiYJqSCyvnsPzAibDEaWSiaqKoGpYms5gbGPJKYtLS6fmloWFBRzHodvpgCBgFSxEUaRpNKlUKqRpynA4zJktQYAmikhAs1YlcBxUUWTU69Hv96lVKqwtLuJ4HrPZjF6vR/vkJC/yvk8YhUzGeTbthXPn0XQNSZKYTCZMp1NefuUVGvU6YRjm6qE0Rdd1ZrMZQRigazppKrC8uMTxUa4UkaScYmkZJmQxqiIhkvHoIw/nJpfRiPFowGRiQ5p/fzmqQGEwHOZIZykjTGKCig/1KomqIADlYgFVkTg8uI+IxNb6KsPRhMvf80Fu3HyDe3u5ruBzn/k8Rcsi9gPGozG+71EsFllstbAdF9u28WY+zvSImPyEm6YplWqDse0SRTGXHrjAnTs3CXs9ZFlmYXmN/duvs1ArE2c5g0dR1XxDIsNxHeIg5PXr17FMjXPntzh/bocXXniBK1cuEwGf/cqniEwJsSTxlrc8ypc/81n2DvbYOfcoKEEuk7RtyDJEUWA6GXH16a/wx3/4h2wsn+ev//Qv8Pkv/QlJ5JNlGdVqFUVRGI1G+L53ap7LlUbzoPEUUAT8IMKyLKJoSBQF+IGH43qsbmzBaEKURAgCGJoJJZHbt+8gyQrSGYkgSMk0CSXRCAmI8DGsFiVVZjbrEQNlo0Cl1qDbPebGrTvc3e/gOSqjqU8URyRkJGT4cU6elAQRWTExFY00iSkYGrKgEkQxYRojWiK+PSVJk5wpn8ikWURR0wiTiCyMMKwmiD6yIRKHDq4XkiUxoiQSJwEgISkmnd4x53SLsGDkQhBDo1TdQU4zwihkOBig6QqCmDKdTnHsGdqmSnOxxZXHHuOLnTbPP/8K53fOMRwfMZnN+MD3v5tyrUY8GZMkKYEz5o1XrjLav4MiH1IUdTIpxY+nhL5PlqVA6duur39hnLGpICPKkCT5YGTn/EUm3ohYlFhaXgIhJnQCIjshDlyCxJv3qUQqpRqdky6SLBGlEfbYwSk4JLMp5zfW0c0imqEwmWXYJZkrhs709vPIB3sM189RKi7yoz/9YwRSFV0rk4kpYjhg6U/e4OatW/iDNqQRIhrVconE9bAHYyorC+CnIPgkozDPbJUW6R/tsvxQDd+XEbKMLHHpDWaUJJPu/iF2KKCrMhcvXqC4WMF2Y64/+6fYwwGK4uHFIgEZ4+4UWSygGQlly8S0ZA7bbQwkqo0ypBleGpEJIpKh4c5mVAql0yJfKpVwXTcv4nP3piCKp3r18Xh8itcNguD0dCnPZZzVWg3Xcbi/t0elXEZRlNNNoVQosLK8xOHRIVmWUi6XyLIUw7RwXZcogSgRWGgtUESk5vqUS+W8LWDP0FQFwzQIoxiBvNUhSRKDwYQgiBkNh8RxfMp5T5KERr2Kpko0Gg0q5TK3bt8mTVNmsxlkGbKSzxcKxQKKouQQLl0nCiOm0ymCIGAZGqR5klGcxKiKzPrmFicHR/h+QK1c5vmrV1F1ax5uA9PpjPFgjC6pucPYneVAt06HiZO372RJRtY1lhbqp4aw0cgmCj1iy2BjfQPfs+l0uzk9lLwodLtd3jg4YWtjnePj45w54/mkWUwQeDz+xGM8dPkhFhYWGI1GnH/gHP3ehEwR0c2MtbVlZE1GlEUG/SEvvfwib33ie6i0FIrFIp6XzxzsmY1u6iRxxkc/+iPUm4u8eusVPH+aW/HJefKCIKAoMmGYB7WMx+PT/v9gMMilsNUqVqFAuVRCEsCec3LE+aZeKZdptVrce+MO1aUqaZahyPnwPU3zEh3HuWxVEAS8cYfMsIg1C1OvEvgZztjF1wSiWcS0PWA6CplGCXYWIkUZqSAQptH/Td2bxWia3fd5z3nPu7/fvtRe1dXV2/T0LD3D4T4mZdGkaEq2bMd2gkSIHRi2YsQGAiOJ7QsBAgzkToEBB1AWRRdyEssWLQVazJCiRA5nuJMznK337tq61m9f3n05uXi/Kdk3gQkYBlVXfdFVqCoUzvI/v9/zoGs6mqGXh74FQkVoGoUmkEaORGAUJR+pVF4WWJZNpAmyNCUtMqQJoAijMbVqjSJXSHR0lZJRwtWKJKPSapWjqFhjOBqy0aqjYRLHCSLP8awaluuwZLpkFKysr7O5uUno+9iOg2lZPPvcbZIk44snZ0z6A9Cg3lnm+q0X6PcHaIZOEuXMZn2ycUTTrRInbZL5ORkJpmuAKjcd5v/+6+tPzEJv5BJNSwkzxdbqJqejM5a21mmvrpPnKVHsk7gBUZZTxDF5VkoNLMti0DuBQiGkhkSSSoWZSQrT4NHRUwyxgjyccGN1CWZjTsdPaa0tk2iSg7vvEM+/xcbOM0yTA0bTAc++cBPHqbPqpfSrFe698UdoKsfRLKRrs7S5hrlZJ9cLcldiZQ4iOEf4I6g18KyrJJmPUVnHqFZIsoKOZ1NtG4z6U9p5lcnpE2TV5unuHpOzY5abkmQWEUQRmAbN1TUu5RIvsjj/9reY+RGj0ZxaRcep1gh8n82lJQzH4nB2TjibYxkNlHQXGOGti0y64zhoC/xwtVplNBqVjbwsKwFqQpTsciGYz+fU6nVMsxSg9Ht9PM8rRc9aOaLRdR0hBI1mk5s3nqE/HGCZJvoCdOa6Ln4QUxQ5pyfHZFlOGMaE4TlFrkjTBL1RR5cGw8GIx0+eXJzuwzDh6OkRWZ7iVjyGw2EZ86tVyPKMq1tXANg/PMK0nJKdU6uT5ilexbswGWmaxuODQ6SUbK6vYRrGQm2ouLS1icqLBZAsR9egu9ShyAWddpuf/cLPXcDYALbXNhlNpgzOe8THp2haXiIQ8oLuxg61agkHGw4H9Ho98jzn8uXLaJrBdDxiqdvBNP9EzhEEAb3RkM7yEp1Oh+c/9iq9szM6y8vlYn7tJnEcMvXH7D55xP7BAQeHhxRFwe1bt/njL3+dz33+z3L58hr/+L/5W8RC55/89/8jK9UV8omi3z+ku/YcuZpRqVbxHJNOs053aYk0DOkst3nr7e9x69YNdF0QRYckSUyWZRfdiXrdQAhRjvfi5CKd9cHf09mCOaQtOP024Lgu8yCg0+2W+GbT5PzsnO5SF9M0OT09JYznpSDFMBZeXJ0o8yHK0JUDpkPVlgzODtg9OefgxOesXzAPTaI8J8xCrMIGXSNXGnmUowG5UAhdEsUxpjLJM0WaBRQFxGH5t/+BIEUphdQsDMukSDKSoDSU2Y7AD9ISkpgrLE2SoUoIWyGYDEfl5qbZ9HrnzAufTq3L2sZV6o0uXkWgFAR+QBYLNFnHDwSaqDL3UwplUPVcnv/QK+Sy4P/6p/8bhanzhc/+DJmIOT66j3RNDnbPeO+tr9J0++gqR9MrFPUmMs8gixBCgfoPPKP/j/Uh8oJUSDaeew6v1Wa52aC21MIwLEajAUEYMRuNmM9nJVgqzVF5xiwsWeES8SdBTgF5lpPmOXrF4XAwZ5ac8uDdu3z05gZzfw7vPeLFV16iiqS+vMbg/IRas01nyaY4u4u5cYtL12+QVpokwZgoUgS64MpOk6WuhRbMyHOwOmtkuoXu1Mj23kVud/G2t1GjAcqBPAnL664psKurFH04eLJLZ61KnKZEhQaNZXxpoq85rGbjsthiWpxPfV57/TUMVSANKNIIS2/TqXlYy6tEqaA/nuG2t9jYepF3fvgjzgY+P/2pNYqiYDqZYtklsbJdryOlZDabkabltXt7e5tggTROkoRKpUK73SYIQ5rNJoPBgNl8djHXNEyDer1Ob5GUOT87Q+qS5597jl6vh+u6F2MZKQR+MKPT6fL+3TsEQUCj0eD9u+9R5AUry8tEUcTZ2RmGYSxmwDpKhZydnWJZFrPppGypqgIopSaTccmp0XUdFqmX0WhEbZFMSZIE27bxPI9Ou13iG8LgQsJR9TzGowFJ6iFNQa2xBbaG5VbxRzOka+CnIWuXtmgur/Dki/+KvSePSdOEQhUYhsOlSzvEcczp6SmnZ3uc9wQrK6tcvbbF4eEhQtN4enSAiiXNVo16rcpkNi1bwaMhrVab6WzGeqeGMHQcz+PSzvbFxpylGtVmgzVrE6REpgn7+/vYtk0/mHDr2Zf53//X30AVMzTNZDyd0KlWWVnbwrIcfviD7/L8C7dY6XYZDs5wDEl1YYvq9Xo82d1FoPHa177J2vo6u3t7CKERhiEf+chH6J2ds/vkSVmqcyu0O12yLAOlUXMtBBpetYnj2Az7J6RhjOU5ZEFEmuUcHBzgui5hFLG1tUUUhmXvIE0RlIW/nJxMi8k0F9daYrnVIsoK/JNDwOTg+Jz94wH7w5A8MogpgXx6oRP4EXFexiQlJfvK0CUaFjVdR0UBsSGReYGeZCQGSGVgmwZ5ZpBEBVnuUyiBQsM2NKRmIJVOmAU4Tq18F8EmD8bY0mYaTahWHZSeM50NiOOcZatKjzn5yTFhkqLONGquh2VkuJUG3//Bt/nExz+B7XqoQhFlEcPjczJ/Qj4L+fCnPs5wNCIcT3nw9n2SQjDxpzzeu8uK45NNhmiGiWZkKM0nLwpyIZBaDan9eJjin5iFXisMlNIxvA7tpWVqnRYRObPBOXkUMB2cEgYJsHCcui6B75e728XX+OAf5ZpfANk8ZuKn6IWJ01ji/tMzpMhor6xTH5+zvLJDpdFlfOgz9Yd41VXSKKQ3z0gWD8CIjGDq06h4NBsVCnKE1EEmxGKMiQe6TX84o+o9xVm9RCIdLF1D5AJLN1BFzoN37rDSbXHj+mXqG1327j2FPGZ08hAVzdClICpyojBE01yOdw8xbItLWyu0OitsLq9SJBm1tosOjHs93nzvLvuPn/Buf0K7qiG0cqF99Pgxl7e3abfbpGnK2uoqg8HgQiFYr9dJFyTLJEmwNe2CKdNdWsJdZOl3dnY4ODig3W7jOE7ZZk0SsiwjShNWVleZz+flA6NtM16Un+I4Zjaf4jgWK0tLPH78mCgIabda1CpVHMdhMBxy9erVspQTxyRpyuH+AbZhIBeqQU3TFo+0itFwiGWW13DbsgiThHargVKKWr1ekjPjksWuaSUOIUszVJFz78FDVpe6KFXQWnxOoQRhFCFkgWk42JUqRqZA0/HSspUNIDSBbTu0O22UUuzt7lGoHF03yoy6ZXHnzvucL4otmpAIrewCCA1Oz8+5Eu9guTZpHDMbjQjilLXOErVqlyJKkKZe6u0qLn4QkWWKMIy4unONH377dSzLKhfqsMf17dv8l3/zF5kO+/zgR9/jpudx+7nnCeKY177+GtP5nPGwh+2YTMcjXMciWqj/VldX8TyP89MeluWSxBn1Wp3ReFQuzouNXzeM0h8bhkwmk4sb13jUQzcGLK2s43oe/Z4gS3PGvT6VaomsTtO0bKl32hydnrCzs4M/D7DdCpbtEUURWSwxbAfLqmNXHIbjKXaRE/lz5pHi6HTIcJCRZJQR1rx0IKBKtHZ5KFCkaYnOEJqGLgRRGBIXMabtYmkK07ZwBBjSoShybFfHNnOSTCNKUmKlSIu8LIXlGXpFEMc+OQIhy4Z1nilqXgUpIA5CNNPAth2SOGIejghmAbZpEqQB/dlwgb0AACAASURBVFPJ+lqbySyk0+nwwzd/yDPP3kSXOlk0IfJ9osGIPM5Zu3SF5Y2ceqOD0nXuP3nEk92HaFqKRoCpgSU1VJ4uGAYFeZojNYdc/sfJ0f8H/5gguPXJj1Nb30T3LIajHv3hOfEsRKkcXZc4jo0uClLpMBce5DlKjxFxSg7kKGQBeaHQZKkmFLJsu439GcIwUQ2P7dUNCl3xW7/zXf7sZyT16gR0jbWNDahWqNdbiHaNB8ch11Y0DGMVP7qLSYqankFjBSwTiY0aTUj1EF2lzEbnVJsNCMbotWXAKLPe4Zhf/59+nV/8B7+AsGvceesxp/0JeeYTpxMG4wmVqs2NF56n7lUYDweMe2csbd3kaPQD9g6nnBz1eT/7DnWviWbn+PMJjmsRRTmZP0XkEyyngePUmEwmVCsVJpMJURjxwosvMFtAw7R/awEFSOKYPM8x9FKm0e12WVpaIo7Lxzxd11ldXaXdbl9k6ZVSFHmBIUu0QFEU+L6PlJJWq1WiB8KIna0t0iTFqhh87MMforqQRMdJCmiLR9iER48fX/hboSj7CraNZeqMRkMcx6Ver+PYFrZpouslB8fSJSovrfKT8QikdpEmcmy7XOizjHDBp5/MZriVCrppgpBkacZ05uN6HklWoMjo9UdUKjWCOGE2mwFQr9cZDAb0+32azSZXrl5hd3eXLEt5+PBhydbXTdIsQSs0lCxxy51ui3q1wWAw4Efv3+Gl2y+wtrVNxXGZz+cc7O8TBAHNZpXLlzfRDYGUkr3792h3lvHcKudnp9QbLfI0w5Im49mMk71dTvf3WFtb4/rlbapehaXlLmkaMpn5TCYhr3/1D7h260WGgz6OqdNqNrCefZaT42NmsxmraxvousGXv/xlvIqLpkm6nQ5RGHJ8fIxt2/i+j+/PsWzn4lFdqIw8h9OzM9KioNpo4tkeHcfCNi0e3L+PvUBBF8Wf3LjW1zeZzwOE4aArC1Fo5HmBZzrI9TbzeYRKYXQyYvcsYBhqpKlNmCcIFEqVnmjdMNDMAqFUuUFKidBASK086ClFYZuYlollaCQip6W7oNvkUYpuaBRGhFbU8c2UcZIwnU8AWd7YcMkziWM5GI6FQiMMMgJNkWUhUmismB6G1BGaoG67NJoN4miGZijqzRbn530KYDqb4rgOX33tj8jzDNu26TSbNBptGqurmI5XFvkKONh9SJRPWe40CYIM4oBQFiR5hOvZyMV7RI4gCPvYTv3HWl9/Yhb6z/+V/xxlGAjHwtELNJXiWjqGVgMNNC1DKYPIn6HVapgznYkmSLOYIB6CUKi8lGgoTVAohdQ08qLAXJwI0yzjdJiDnrNcs7h87Srv3HnIbDjmE69+ko98fIfecIBtgswUmx2D9fU2b357j9OzE7rVnGkHWo5NnhronoE0BEUwofCnjI/HOPURlh9AMaMwm/zKL/0Ttrot/vY/+K/xc594OOTw8ISTpwOiZELdE6TzMfNUMhuc8/D738SQOYZlcn66T5BO6NZWCCKf8bRPu9miUJJms8t0OmQynBDOQ6QSFIVgNp2TZxmtZpO579Ppduidn3Npc5Pz83M0y6LZal24QB3Hod3pXJzEW61WeeLKMirVKlmWsba2RrVaxTBL7nir1SJNU27cepajoyPiOKZSqdDv97Esi7v37rHSbmNbJVEzSUquO0pRr9U4PR8QLzDBj5+UdW9EaRyyNA3HNhGawNAll7cvYVk2aZoggSgMyttEFKEAY5Fw6Sx1kUaZ8gmCgOFoxJMnT6jX67TabTrdLuPxiGqtguV4SF2SFAXD8ZT5zGd1cxPPq9JoNomTjMlsgmmXPJFY5ezcvM7h06eczyec9M/R8qL8ezNAKImuaSyvbrC0uszx8THj8ZjT/glhnFCvt1heXSHJCpZXN7jz7rtsbqwxHJXC66s72zx+8BCpCyoVh6dP93jnnXeo1xo0O12u37zO3pNdqo0GTqWC67pMp1PSNGU8GvLI3+WdO3epN+q0OssEwT6mZdIb9CiyhDzNWV3doN3MMC3F0dGIdtvg/oPHZDlUmg3ihSUrmPlUFpL2+WwGUnJydMTlKzsYuo7rmAxHE5IkpVqvo5Ti4HiXq7ee4fz46OLmd97roZQiyzJmsxnz2Zy1tTU0Yw/bkARRgNAdToYnCGGiixZPozN605jxRDE0FbkKMfUafjBeOIQFeVwgVRkqSLXS/FUmuED3SsOWoJwQmEIiiREIijQnyGMc3cB1a6yvLOFWq5z2JzzcP2Q6nQIKTQqEUGRFQhor0miKa1TQE1BSp2V7xFFKtVHDlhqFgHkyhyJFWDaXbm7guTeZz3scHx1xZec6w/EZ40GPmuORzCb0ojnHR3u4Xp1qpUm1WmF5dRVvXsUPfPxeRD6TkPooBXEQoZsShInh1smKCbNgCPz7L/Y/MQv9KEixPY2KaeBKE1s6NGtNZmmE0OC8d8TJ8RDH1AmjGMOwME0HRMmNmMchhpToWnm1+4BWmOc5YZphOTZGHpAXOoGfkHg1isJnHqegBMfHp4RBRK1WZ/fuA6IjjRef2aG95HCwP+KwJ9l78pTnN9ukUYzR0MvYFgrGQ2QeI50KSxvXkV6DJBFkakye+3zqZ/8yQsJ3//g7tNst1teWuHnjWebBAFOHQa9HVsSMJyP8cEKjInl6PsSSDlmqyP2cMIJ2cx2hXJQKysx4AUkQUnFc8iRA5WVtfW1phdFkTKfVZml5mSSOMWybzvLSRQ0dIfCUIs8LXLMcg5mmiSYlKIXrOCRJgus4mKaFZVv0+306nQ6eV3Jrjo+Py/iiUmiaVmrlbJulbpeT4yMajfJR16s4pEmCbRmMRwOKouDo5PhikxCaRr/fZ319HQvwPA/DMPC88sRjGAZClbA6pRSe5y2ifSlnZ2d4noc0LK7s7PD4yROiKLpIWTi2Q3dpmel0wtbWNvsHu8RJTL1eJZ/mNOsNdM/GcquMp1OWd67h+XManTbzSXmiF8Cjhw8pClX+bSEQKEzTpuI5NBt1pBCcn/Xpnw4wGh6V7hK65pCkCaf9Eb3BOde2Nrh18yYf+diHefN730dqGr7v8+TxHsvdNq5rYRiSa88/gxQmjVoDP4wZTae0uh0e3r3H+ekZn/vsZ9nb2ysF7LUaUZLiui6F0lhaW6bRqiCkzmAwpNtuIBHkcURGRs3z2I1PODs746233uLatZvouo5t2zQaDU6PTjCtMjefLS0xm80I/Dlnp8dUqzWm83JsopMiVU61VuPMNjg9PODyzhVOjo+J0wi36mJKkyiKaDabTMYTRqMxn1m2KPIFhRUWGzOoYspgOGQeaBSmhy4yNF2QxOWITAlQCpIoRtoGSZoiFqGA8tASEYbgug5CgDJ1NFuiFiMrITRcs0CiMIWFZbkIoWPZOhXXIkstshTSNENYFhkKmYfYtkOaGQhZ0K55CE2hhzlZlmLUKxgWDCYjMqWzunWNJIlZWV2hWjMAhW2Z5GlMHAfEQqfdatLsdlC6ROgWS901iixjOpuQpimRH6FJQVJESBEhNBOBDkqSFQrSAoRGms1/rNX7J2aht12JbkmYh0yMsn2oaRpBkmAYOo3qGmsvb+F6FnEcsv/4MXGaIhCk9RpyqhBpSk6OIKdAI1cKKQXoOVVb49Of/jj3Hh8ymfk82O3Tbq9g2ho4giAuCIKQZmRz+eomQgdHStIoYHOlxuBxi6Oj90nSAgsTYUvQy4fCaJox7Pdobq9x9/5dXrh1G0Nz+cYXf4f/9pf/Pu+8/g5339/lk5/8CHuHx/QGPf71b//fbCx3yOMIQ0Cn2SL0fRzLoNnaYmmlQ684Z5aE9KcBNiBkjGnnWJpHlsVMJiNUAnESYJiCJC0Jk4ZhcPnyZeIkJgpDbjzzDOPxiFarjW3btFotkjRhMBhgGAaT/ghdt7DtEqpUcT1AgBIIDZI0QqkMr+KyvrFGGIaEoU+a5jRrdY6PjrB0Ax1Bq1bnY698mHt3a+Vss91kMh3TaXeYjMvoIJbJ1qUN3n33bVSW0aw3+amPf5z5dIZuLRy2eQ5CUaicNFPESYTrWAtWfc58PifLMqpVj2qlQrVSwXYclpeWmEwmXN7evmicvvveeywtdHkg8OelSemll18mzxWObTHqj6jUq8TTEVLqTCZjzKI80U+GQ4TQUFmKjobjuexcvcLp2RnzWcgwCMk0kPUaeZqQaxphEGLkSWnz0nXCOGbmJyAkbq3Kz//8z/P1116jqWk8ePyQ8/5ZWQBr1Flb22Rjc5NqtUqv1yOcn1BoGZqhsbq+wR997WssLy1TqdUYTWc0Oks4joPnVDgbnlCrt3jw1nv0Rn1eeO4mVdeiYtsIWRBFMcOzU5pLyziuw7Vr15hHM7I0JYpjmvUG9XaT4+NjBoM+RV4ghFZq7IwI23Uu4Gb379/D80qRTRzlDIdjkizDrbjouk48i1leWcewTM4mT3E8k0KFZIsNM81LlPNgcEKaWEynHuNEMct1tCwjLnKKzCCMUzS9QCtKB4PvzxBaqWd0F95etQDPFbnAMg2KMGYep2iywJY2UiqCVEdoBVk8xO651FpVVlY6IBRnpxZPD4fIonz0NVyHJW+VUXhKrkcYpo2lBIUh8XWNJAlpFA00XFoNB5KCyXjG7t4urmviz+dlhDdN2FxfpVmxUcrErtUwa3Wq1SZRUJDFOrlKMRbuZs21EHMTPU9QIicvcgzLwDQsilQjCgImM5/ZPMBb+v9bUf/dj58YZ+wnPvFZ4iQhT1Jm/ogkjZnOJmh6SRycB3Pms5jhaESvN8RtVtAtG6depeq5JPGcOPcpZAEIlJQIXSKkjuNV6Lbb1Cpdrj5zHa9m0WrWmIwnJJHE8zzmfozQC6pLDqP3H3DeDzga9inIadc1VhpNdh89ItMllWYXr9JCKwSEPgNfcHAesH/Wp721Q+fSTRA2Vy5f4Su/930On97nc5/4KL/zB7/P9jO3aXQ3+cSrn+Kjn/wUH/rEqzzz/Iewqy3QHQwSpBbw+GiXP/jyt5j2j8mUwq1USdKYzY0d/PmUfr9HEMxJVUGlUcGqmDSXu8RZyvXNTeIkwTQtLl/ZIYpCBFy0ZHVdv0AGC0TJprdt4jhCahqO61zk65XKsUwT23HwPI/xeIyh69x45hn6vT66LDG5zVaLeHF684MAQy+z2SsrK0hNEscxxcJNO/anfOMbr5FEETXP45UXbzPpD3AXJ9TJZFKifIUo+TSWTcX1mIQBaa7IEURpQbXeIcslMz9hZW2ZQb+PUoqXX3qJOIrZ3dsrBeAZqFxhuw5hFPGxj3+M0XjEtWvXeeP1b3F8dIRXqeBVq+SqgDzHqjgMTia8+d5bfPfdPUSR8cLzL2JKnclsgp9EZEKRmiZFobCkRa4EQtMQRRkMsG0Hxyl/l2vrK9zYucLp+QlBHKMrqNfq3Llzh41LlxhOpyAEOYL9R3scH5+A0Oi0l5G6TpEXVCpVpKZxaXsboWn4ScSNmzfodDu0O21sr0xNdZst0jShf37GZDJGNzXyICAl5WDvKSqTjH2fq9duEIQha+vr6Lrkwb37OI5zEbMcjYZsb18uNYq2XcZ0F+YupRSd7jLdbheUotFo4Jg2w+GQNAoZj4cUeUGSJYRJSBqX8/Rblaf4QUyaKpKo4PTpgPOjCTMMzmblm1OepySFopA6GjmOrgMCTZMUKgGlIwoDKRNmQUSSpiAKCpUipCg9yBQkBShhMAsSev4MJTPSMCJHoExBVuTohSBJUoIwZupHkKekusCUknk8Qgi7TOGICKGXZUIyAeTEeUwUhTjSotppUa/ZBMGcg4MD+qMRluWg4pjm0ipCt6k0mkRhjGGYzKYBYRxx1j9ENxSmYZDEOVJpZElQcm2yEXmWoZsGjl2n0F36/RFPDmc8fTpldWvnT58ztlqpIpMYfzgmyqKSwmcZ6IYkz3KyLEHoCk0oDFMxGU4RKiePMopEx3GaRCpGFQl5kCJNF900yTNBGM0JwpQwCUHTkUYVXZMsL+f0e3OGk5BGvcml7W3qjSXG7inVWoU3Xn+dVz/9cQq3wtrzl3hmOObuu+/RPBmSmgdUqw2I5xwNLb5554R+b5fP/sLfQmgeaDp7jw5wnYiXfubDfOfNH5FmKW//8Ps8+/wr/L+/+xXqFYdOq4MpLSb9EZ7rsH75Jnajwdg54fkXdB7dfYvj4RgzGbHcqeCf7WK5DUzDoMhzBAVJHCClSZ5mSE1ydHTE5qUthKZdyKQt2yZJYgyjlF2MJ2MMw6TXO6fdaDKbzpCyzAELTcMyJHme4bjl5iCFhjR0KpVKOSpZlKqCIKDbLWfxHyR4KpUKWZIxHo05PDy8mKMXRcHc95mnIeSKRr3BszdukKYJzWaDWqXKyJ+h6zoVzysz0YuvGUURUpdYpn3x8Ot5HsPhmKtXrjAYDul2OqyurvLo0SM6nQ7/1d/4mzx49JDvff8tPvThVxCAnySQSrJI8N6P7uFU6nzmC1/gm3/8Vdav3WBweky9VuXo8WOeu34bALtSZfvSMm+/9z28+jbtrStM5jPSLMVYGJ+yvEAZGo5hY+sWcRSR5jnT6bQUlOuKZD7B1QXhpI+xusbl7W02NzfYPz3DqdTIspRqtYq9arK3t8u9O/c4PR5w+fIlXKdOpVLH0g3u3S8X5NXlFRrVGgJBtVZFUcqrp6Me9YpLEoWkCYyHY4yVOuk85fjgmGqjy+rKGrVGF7tiEc4CDp4csLGxhQbM/dJ98KEPvUIcx3QXZa3xeITrlcgJ3/cp8pyHDx/S7XaxrFLA3qhUqdYcJpMRs3lAs9FCaYKqVd6O5vOAeZyT2S4qzkiCHF8ZxCFkKidHkRUFmvlBCSojTGJSCgSQFHk5mpE5Wc6i5ZoTJjmGhERLSNFINQ3TshaoYY2lepswj4iyGCkkyTxhGk2JgxQhEqSmY9kGSEoQWpZhmzpplqACDV1XZEXZklWFQNMWrwECHMfGNC26nSaaGHKwv0cuCnRDI2+0qU6a+IGP51U5eHrC5tYm4+EUyzQZDM9J4zntzhKgk2sSoRJyaWCaDqqANIcwSokxmMxyznoxUWr8WOvrT8yJ/tOf+nMM+mfkhOSZhmt7CCTSMFBKIKWB1A2SJCfLBJ1GjdL/JZG2hRIFeRpR5AWXLl/jz3/+r/Di8x8hmGdMBxN03WRr1UOKCq5noNKQzY0Njp4eEo6mjKcD9ESx2mpjuBUiVfCpVz/ByWmPWQitK89y+dpNvvgv/4D3D0LOz2aEM8X3frDP1A8QyuCzP/MFNp69iaJs7NZqKfNpjyw02D8/55WP/DmajTpf+q3f5MbOdQos1roVpIwZnd5B83cppn2Oj854/+33+aPXv4XSDW7dfoVqZ5VZIqh0N4nDKXmmUatVsTVwHAvHM2g5dTzTotOsU2/UFyTLAttxKPKCvMipVWsgYDKZYNs2URhAkaEvsMFpWo4bhCaIohBdStIkodPtogq1cNCqhQc1RDeMEnucJBeL2nw+J/CDUjqepsznc8IwxDAM1tbWUORoAm5cu4qh62XxRmqcD3oUCtqtFgCVSoUgKB9fdV0nSmKkJknTlHq9wdHTYxqNEsB17dpVsoWwBATz+Yz53KezvMzt2y+xu7vLcDjk6PCQu/fuMRqPefbZW/T7PWI/4PYrH+b9t98iDnyeHh7y3K1bCKXx+ne+xTd/8A79SYRRWcLQNPIipwA0KVGL2KHrefjxwniWpxRFjh8HyLxgo7PEc9evsrW5jqZyjvYPKeKYIAmpLdWoujbvv/c+rdYSYVCKxhuNJprUSZOCwWBULsy1Onv7jy649KZu8M033uD87IzxcMTdO+/SrFVwLAORxgSzKaPhmPk0JEtTtCBChAGaYXLn0S5RnNJZanO4t8/6+jobGxu89/57TMZjVlZWaLdajEajizhunhVMJlNWltfQTANyhW1a5FmGUAohyjLceDxlPJ7hOh55mhPNA6rVOpbjsJTeIY5yskRnGhRMUzjPdOZJhUyXZZnJLum1Zq6R5hkpBTJT6JqGREMZZbQ5yy0MXUPTytO+pklAUChBkmWkeUFWgKaBrkBPQTdMbN2iiGbEaYBVsWi16uUtVpPMRjMybVGqkmAYFkLTMFyXOM0wLYcizUjTGMsykKbJbDRlGoYkcYZpWGysb1KvWIynYyzL5snuLqdnp5ydnfHDt9+hUIqjk2OiwGd5qYPUNAohkIaJtHSycEQ8e4ouJYZZIcNkHKSc9MccnQzozVKQBpe3t/70negHwwFxEpNmEZ5TI84iiiInD8uTY2VBXfygzj/1o/LK7FTY2dnAMl7g7rv3OH56zMneMb/56J8TJwGWoaNrApUpilzj6OiQ5bWNkjvuVnn25nW+/+03mM6mnE4HLG2uct4b8u3Xvs//M/pDXn7xFje3liBN0CsN/t4/+iV+5Vf+GVUJ+vSUHTdBGAYPkoDbP/VxKCQCQZ7B0UlKlFcIE6hXLcL5FKEsXvz057hxbZtvfu3LPHh4ymw84MVnNxicHRCZkmiecXZ0iFHMiacB3/v6v6HebtNut5mPznB0i73TE2bzITvbLZRQIBW9LMS0rDKGppfEwmXPZTqZkGUpURRh2zZ5kSO1soZfq9XxZyMMWerVDF0v42qCUvqdZ+iy/JkKVbZOg6D0oGZ5KaQofbIBzWaT0WhEpVJhVsx55pln+Pprr7G6kEsLIRiPxpyfHrO5tlpuFrN5+XnDIc1WHU2YGIZRjg9GI5IkuXhYtSwLQzfQNI0HDx6wurLO8kJkct7vs7qyQqfTJQxDXnjxRV57/XV++OZbbG1fBqDdbuNVKnzoIx+m2+3y+uuv85f++n/Kv/znv8HKyjKz8YhP/plXefedtzk8OKDqlakGq9FBQ0cKjdCfY1ddWq0WoJjP5ovNKEUrMgxNkkZ+2Sq1bKTQqFYd4iTg/v1TgtmYleUGg8kR55Mxd+495sUXX+Kzn/kMX/rS7yMAx6zTWV2h2mpwdnjE/fv3+drXv0Kr1SJOM55/5jKupdPPAl75xIe4fOkK+3tH1Npt/vBrX+fDL73EzuYaN6Y3GI2m+H6M659xub3NeVLhwWTCjRs3aLVX2d/bKzWBQYDv+yilWF5eJgxDDp8+5cmTxxdt6CiMabXb9Ad9dq5fRRaUZqwownXLRnatXmd7e5soinjy5Am6rrO8vEx/MCzbwkhICo57AaNQME8NlGiBMEiyiFxqaKnCk3aJIilASwXFImSRpDGOZpEUOpKMQuSYVolWqJr1Bes+IRNQZBlK17FNG8vUMDUHzPK9oV5rl2Ifs4ItHYIoZjzoE2QFUmooWaDLCqpI0c2CIs3J44Q4F7iuhSstojhEGi6mY5NnCYPeKed9uLSzzcbyBm6lTavd4smThyhVPiyvt6v4g3NMw2Zjc42NrSukScpgeIZVqZNmKeQRWhET+jMKIUGvc3bU58nTM3pxecrPfjym2U/OQi+EVl7ZKw3CsCThpWmC7TX+rf9TllCkJvFqHjs7Vzg+PmJv/ylkMYPBgKKIkMaUJDpFNwt0rUP/pEe70aLW0HHR2Dt8wKuv/DSXL2/w9OluyeJOM6rdVX73K7/H7Rdv85nPfZQggmg+5f7DR7jdTVaqS2xcf45/+qu/yjf/zb/mnde/RjidsnblKr/w9/4+hW4gC40oSpiMZty/e5fRcJ/BeY8PvfQs9+99H8dq0159hm+99kNe/eQXePL+D4iYEJ3eZ325Q+Es8aM7b3Jp5yonQcrRwT4ryy2m8xmaqjIajJjkCtfUMRoulqWjWyajyYy6bqLSAs/z8H0fx3GwbJvDgwM8zyXLSu1bnue4rlsKQCwD6UvyLCEvCiy7LHc5nos/myGkRLdtgAv/KoW6GAm5i7KTruvlCXch+y6KUtRwZWenlJAsTFKD4RBUgW1Z5GmK49pkeYphGRimgYbBfD5nvvCTfpDFdl2XQoqLr7u8vEy73WY8mTAcDsmE4vj4FM/z+Ov/xS+w9+A+3VaHbqvDG9/9Dnmec2Vnh9svvsg7b7/NyckJ/90/+sf8xq/9Gv/JX/2r3L3zHs/ffpmv/eFXaTYaTEdjak5t8XPrGEKjyDIczyHJsgux+QfprjRLEUKhS42l5WVEAYN+D8NxuPfgHp32bVZWljiIZtTrdcIoIEkKwvmcw4N9iizkU69+jMlkysnTIdPxiHTYZ7nTYX39pzg7O8P3/TLV1Klz7+573H75WfIw5NG9u9y//5CXXrrNh19+mVbdo96oc+vFF2h2l/jSl75CMpqzd3KIamxyuHfG5efqjMc9tre2ODk9Rmql3GV1ZZXDw/2yCQsYhkmz2SKKQtqtDnv7B3iVCttXr9CsNzg8PKRarXLe6/Hi7dscHh4u2r0pUpMXD/4FsizrTcAPFFEkCSNJlElqNQstM0njCEMJNMsiLArMLEMU4No2s3h+8T1FRYaiTEOpDAryxWmeiwOFUsUioqvjCBNTCZJsRpwrVGGSqwxHN/F0yWw2ZTieLlj8KY5ZI1MFfhxiWhJdNyiyHLm4VdZqHmgFIhPkcUKYZKAKwiwjocCuVfCnIdVqjXkQsba6im27+POIPG+TxBm27dFqdbEtF1SMbtmITECmEU4L8tBBMEChczqYsH84YjwrSDUDXZeoP60LvT8e49g2aZDieDaapqHHOpouybKcNM1wHJudnR0mkwnz+ZzH9x+SZRlZJtA1idQzbE9nOrORmQeJYJZHaNIkTGJyVeP61RdYbhfc37/L/tEdNpY3yTOPv/O5/4xf/z9/E81P+e3fe5s//+rLNOqKbneZ7Ru3sSsuWZogDA90wSf/wl/j1b/419g/PMIwHfR6GxKNwWDCqNdn//4D9g/uEPjnVF2TUf+ITqtOFEScP/0WSRjzxnfOGZyecnlrE6+xhbA1olnMlVvPcP+wx1mQ0dncIZj0qdc8UAlSy4mCEZNJxOpaG00rm7RS44zxKQAAIABJREFUk0xIiOOY8XQCps75cMDS1ga6Y3F8fHwB2/rgoVQVBVLqoJv44wFS15nP52ysrRMnMbqpE0UJFa8coQRhidMtUMznc1yvZMtMp1Ns2y49tpZFXhQcHR1x5cqVcszQal/4Q33fp1mzkALCNC43D0PHwARNkASlc/UDWbiU8oKxMplNGA1G2IsHwzvvv8/m1jZbW1ukKNIk5fOf/zy/8Wv/B3/h536O87Me8/mcF154gZ0rO+zsXOFX/5df5eMf+xg/+5d+nr/7d3+RX/6lX+a3v/hF/sbf+du8/tUv49g2p6cnXNq+RJ6WBw4BKE3g1Mrv35AlNweV49gWnmeXv7PJmFkw52w4IM0KdN0sx1u6zmtvfJ+f+elPUqlUOD45ZTbz0YWi6toM+4/RCNl9ktHtLHFtZ5vRfEamCh49eMjx8XH5+Nlu8/abjxiOhzQ7LRqNNt1Og/FkxMZal8mwz1K7WZb3ggjLdrl89Qav/lTGa1/5Q9rXd/jtL32N7voaw+GwRGJMpxi6pN5oXPQnrl67QZ5lSF3Hc22ePHnC3t4u08mUS5c2WV5bZWV1iWgWoxQolTMPxnz3e9/hpdsv8cbrbzAYDJBSMvfnnJ2fs7yyzp077/OLH4LZVDKYBGA10K0KfhITpYpMKJCg5TmW0NHRECj8mU8uS/FLEhekhsBAYqJR5AVS+xOpvGGUNz5iQeD7BGHIUGnUHIN5GJKQU28qqHgkUuCnASovb8CGYaDpMUKAUAYN1ypxzHlKYmkUeYpTLd8nEDlSF+RJSpJnZFlOJgssTeKf9Kiugcx1FJK5rxPFCf3BmK2rN2i5NQolqFTqpGmObhp0Oiv485Bp/5TR6C7h5D1yBXFu8WBvznmgIWWNpnTITJ0o/XHU4D9BC71j28RJglKKJCpPEl61RpELNC3j+vXrHB4ecu/efUyzrGdDCSrSNI0kStB1q5xFCsq0Tgqma7B95RYvvfACllFw9+7bZdyv0SAIBVef+zTT+Hu8+73vslkpCPQKL3zyVQzTQFhjjsYBVjPj3T/8JtVqG6G73HrhRTRNMhhPyAvFcHTIkeNQr1Yoooyj/YccHdxB0zIqrs6tZ68xGk85Ojjn9OSUnWuXefDuO6y3PC6tdUmnRwRFhe7mJnJlHX/wA8LBiE+89Bx3H91BuAaz8QzNMklURiENCjKCWYTt1YjTclbuCI2N1RWiOCZcCKrnsxmTSTk7X1ldJfB9Op0umlg0YxeKPSVNpGlh6RYYNqBhuQbSysiglFqbFjkauu0gDJNmt8Pe7i7C0AnSBBVHGI7NZDLh0tXLWJ7D0upyeaL3XKIkxq14LC21yLIMa8Gj16RkPi8tV+GsjLd90NwFLpAKSuNiNAWwvLKySIeMaHa71Go1vvGNb9Bqtfjd3/s9PvqRj5Tz83YdPwg4Pjnm5s2bvPzRj/Kv/sW/4H/4h/+QL//u75JnOb/+z/5nrt24gmUauJbNdDQmmvsAxHH871i2bNvGMAzqlsdsNkOXBvsH+6SLh0IhDYyFwL3IS3mK4XlMJiFLrQqzqU+lWmN9ff2CIlrxXNZXylnxdD6n3SzHEOYzV7l8aYM4jnn3vfcwLJNP/plPUW+1ee/d+/z+V77GjRtXsY/OWF5aZhomOKYk3D1AFZBnijff/BFBGPFbX/46hcq5emWHVrvN+aKD8IE79eT4mHZ7qfT8pilSSo4O9zk/P6dSqdJuttk72CeKI3TLpFtf4rnnnue993/EzvY2k+mUN996kwKBdFzOTk/QNIkhBEfH+1i6Sf88ZxTniFwnygSZrSOMCkLLcHEpNB3HccqWtCbINAXSpFY4GLbFWMywySjICZIQiYEockSukeQQk2PrJphiwcxP8bOYbJ5huy5LQsfTHcJ5gmNrdC5voeUFRaFA7zFJE8JwgoHDrCiIUmOx3WToUqPRqJJFEcPRiJbXJJhNQZcUpsCVJo1qDVOTjGZzXLfC0uoq48EE0zKwLUky6eNo0GwvlSauhRQFNKLgHF0NiPwjpuOAcz8njuf0R4ogkmg6aG0DTUjS7E/pQv8BstS2LP4/6t4kVtPsPu/7nfPOwzfeeaqpu6onkt3sJkVRoGUqDBVbEmwgNpJsYnjhpRMgyCLKJkB2AbIyECBA4CBBYi8sOIplxIpkihJlkmqS3exmi93VNfetunXrTt/8zsM5J4v39l0lsbgIwLxAoXZVXw3f/z3n+T/P7xH9CEtKhGWxudZ5v588eYLv+wwG/StqpX15Aq2bGltKwjCgKTN8zyN1HLRRbG3tcfuNL/EXf/Ee3/jqG2xurNG2CW3bcOPGl/gn//Sfsr+3zm9866/zve+s+Jt/+x/wJ9/7Pt/5i+/SFDX/yT/8hyRJw5/8H99hPIqQnsvdn71LGPdY39rl2o2XiW2DS8Hs9JS2qFHtit7AI4z66LbBtIrVKmcwGHB8/Ix7z+7jjGxSEs5Xgldeuk002MTrrfHpg+fc3Nzli3rIH37ve7SqIa8LMJIiL7Gsy/SfsFklGdFaS91qhC2IggDHsjk5OaHRilWScH52RpZm9OMIdal79weDK2RxdQmcct1OGw+cLuhRX/aUOo7boYK1pmoaxqMRZ+fnBL7ParkkCENapbAu0Qifh5w836ff6yO3JIeffYbl2Bw+fYrl2lfsGm305Uu6IvA6eagqp7hWxz4XWKRpRtXUCMtCl4KmMAzHw86KqFsQAtux6fV6nJycIKVke3ubXq/Hvfv3uXP7Np/evcvBwT6Hh4f8x3/v7/G///7v8zu/8zu8/957/Pbf+Tv8y3/2exhj2NnZIcszmqa7VWRqCXSHiTzPCYIOBdA0Dbu7u+TJAif0WWUp2DaW44Ax+K6PHzokqxWe7ZAslgghOJ9MuXV9D6UNeVHQtJo4DrFtl/29fYIgoKxaJpPnV7uQ9977ScfwbxraVvPVX/1VPvjgQ6LzCYdP7tOPY2bTOS+On3P71k3S+S4bGxtcnJ+hdMPxixPOzy5QbXcQ2t7aYHtnm4uLCfsHBywWCwaDAVmaEvd6jMYjirzj3ZyennL84gWTyQTf9xj0h/R6MdP5jI3VisCO8Hzv0ldfEEd9ykawKhui/oCbcY/JdHJprRRI6XCxumBZS4pgiOsN8WVIZVzEpbRj7A6v4bouYKHKBm0alKopVjlaCFAKYdtIYQgd78qZpYTCi2JiN8D3bJbTOa2pMNpQNAVCQuFDW2QMRhG9XoQxCifwsC2XQVJgG4kx4No2wpGAotUaNwzwXRehNb1ej7woKMqSQa+PxiBch7rKEBJ2drfJi7IjYxYFYejiuQGO4+LbEueyUwE0WkuUFijT0lZTquSE0JZc1LBYChZZTaW7xqsgCLEdCwubMAh/ofn6SzPoe3EfIQS241BZnaMhDEImk3OklFiX0eQw9Kmq6qow2XEcmrYiCGPSZdkFNcoCYUl+/Zvf4Ac/+IQ//rPv8q2vfoXAM2ytb+C7FsO963zvj77PO6/f4vqtV7n36Al/9x/8Z+SLmkDAv/srb5BUKd/543/C/t4a23GNb3JiL2B5eoy3tsPJ4jHJ+QN6QUQcu2yu9di8eZ35zOKZbuj3Qkzd0FRgjIPWhvX1NczkEVEQMBjuIXo9lLAJh9t870d/yUvXr/Pg8CkfPC94frHEMoaeiSCW5EXaseSFi21B6Hk4piSMHK5d32MQOjR1g1F9yrLkpZs3KdOc3e0twjDkxYsX7O7u4jouH374QZeGvKzx6/W7F6ht2ZRlRRz3Lpe3HmmSXhEhy7rq6JGXCAWtugVt4Ptkec7Z2RnjyzLx8dqYBw8eoC5Z8zdv3GC1WmHZXZpRqQ61GoQB5JCkCZbsXmRVVaNVc/k5ZtR1hev06Pf7XQbg9BRpSV7/0hcZj0b8+fe/z40bN+j3+4wGQ778zpevMLhYnbb727/5bX7059/n29/8Nv/nv/ojNja2+OmPvs+1W/tUdclkPmGxmLG+sc50cUGZdQNP2Ba+FeC0hsBxkH7I8+NjpAO+62FjsIykqRt6QYzJGqbVonPgXCJVlWXxyb37rI+HHFzbR7geQdzDjyJe2d7jwYMHWJaF5zi8OD5muVyyWCy6ZLDrsre/jyUtjg4fg6rYGO+QbG+itOb5syNsKTh58YLJxQXzxQJjNGHYDYOmrpESPN/hjS+/zaef3qMoCu7du8doNOLBp592RFhjmM9n7O/vk6UJF5MTbNvmxo0bLBcLfN9DWkOiwaA7LAjI8y5RPeyPSLMcy/NZ3z9A1y0nL17QH60j0AgMlhGcpSdUysK4XQerdBSobpjXjcJ1QqQUFGWFpiXyQnxlkdsVQgksDKqUKG2wLAehNGVVgm0xsEMabdBFibAjhnGPbCVIqxLhdKf7tDKEtotlAULhuJJoMCD0QqancywpiYIegRWRiwptDJ7voByLVinIOrLr538nOiupdQuNotcPO5vwoM+Na9cxChZ5juN3+YqtzetoCxSC1vJA1YReTFFUZPkFplqgihW27IH0OF9OyQvFcG2HL3z5TWwJ6eyCZZFjub/Y6P6lGfRl0/llpRAMN9ZIk5SqKAn8zrP9+dCp6xro7H22bXe2PdfBYKGNBNvmra/8Kj/+4Q/54N0P2BiF9PsjDBnzVUje2DhhzNH9+2xsDvno/me8OFvy1a//NT780XsM4z5lecw3/51vMxyPef+DD9DFlLde/iZVsoImIVMF6+MvIP0WK95nGDi0qsVzPSQDPvn059i+RzsvePnmHo8eHJKUOc8PP8bUFesji2u3Doi8gKbVbG8f8PHHn7K3tcXJi0PG+9d5/oM/wrIk+/vXmJ6f4xoIHI+iKMjqilaUBKN1/MEQaUt0pVGuph/3Odi/ycZ4Da0189mcLMsoyvKKY3NyeoLv+wghSJKEMAg633fbEgRBx1JZLhkMh7iOS900rJJOh/c8D6MNh4eHXL9+HeW2WNoiTVOSNGV7eweAuu76VS3LIr7U8suyZBi59HvdS6Su6q69p21pVUdRBMBIfFezSlLm8yVV2bk+qksAW1YW9AZ97rxyh4ePH/Pw4UNeffVV7ty+je/73Llzh/fff/+qh3Vvf4e33nwLsPiT7/4pjuMznc0YDAZ8/PEzoijg9u2Xmc1m9Ad9kiQhy3Imp2cgHTzboR9Gl41WC2RtEYUhjaqQCHp+SFVWKAmz1bSjfIY+sdPDkfDOW2+xvTlGSAvX8QhcQavaSxiazdHhEarVtK1m1B9xcO1at8S0bfb29sjSlImUHBzsMRz0Wc6nJKsZ40GfuqmJX3mZN998i8dPPuPo6IjZfIYlLYIgYDQa47gOnx0+Zmd3lyLJMFpz584dwjDsKhHnS6bTGbP5jMcPD5nPlsymM6Ql8S5lUs/3sVwbo1rCsI/rRhxcv0XRNBy+OMKuFEprTicT5vM5qIbAD9gcjjlNpqCgrRqMY9Fg4xmLxgioFGndMPIitGsRGEWlG2xLIawApCTTFVnZILWioiH0RmhdY0SLQuBIiyLLKGyF0RYNEmklCCHQliYIQrRSVEjaWiNMTb1h40dDrm3fwA97pGlJKxv21mOmy4zcKpFuRL/X60rYdYVtJNgW89WSXhRjIRF+SGhBnRakScnuTozrR/TXd3DdgHUtqFWO7QiM0BRlJ4nppkY4NlmRoRtFvbqgrSpa7XD/6QtenGvKWqOx8IOATNW0RUWjaqqmMyn8Is8vzaAfro8ZS4klJRfzGdoYyrJivljgex79fp/JZIIQgjiO0boLoziOg9GaZbpCq5atzW3uffxzXOmgdEM2AxqNLlNefW2E7UTYboClz/nVr36FP/run/Pxg0/Y2L7Gr3z9Ld79s+/Sqobp+RmbmyN2ttdYnC3ZP9hA1uvoOiEYhghxAD4Y1oh7ksl0yumLE5ylRrWwnCyYX5yztj4gHKwxffQJ435AvsrZ2domDCIaJbn+0su8OJ8SxRH3799lb2+Hn9/9lFt3bnLykxOen55gC0no+tBILKvFsT1ynZMmHYpgvDGmEJKNtT6LZcLtV15nGPeQQqJaxfHZC6I45ujoCN/3mc/nbG1vc7C/z+nZGdCFpD4nWQoEvV6ffq9PmqVUZUmv1+sWq6Mxq+UKS8qr3tjpdEqe5/R7PcbjEUmSoLViuVoxHo+ZzWb4ntdV0skuSZsmKUEYXAWpRqMutNWFUUTXAnQxQ4pu0TYajagrKIqCyHUYjkfUTWcZ3dvb42B/n/F4TBTHfPzxx1e3hfF4zM2bL/OP/8f/ibqu+dt/629x+NlTvv2b3+JnH3zYxferhp/+9AO++KU3umDW5RJ4d++A1ckpgetRlxWzIsUPfXTbUpcV0u56FPKsoKirq32RbdtYno9qCvpxwIuzp9g6YW19A2G1JKm5QgA7jkOe56ANTx4/JluusGybfm+IVt2uqqoaBoMRk8kM1bZ85Z2v8PDRQxrd4Do2fj9me3sLg2Bra+uq5/c3f/M38TwPjcYOXA4fPeL6/gE3bt7k6dOnhGHIa6+9jh/2EY6HF0bkecVymeB63UGgKFLCsENWr7KCja0NRmvr3L33gEePPkNjsF2HsuhueU3TEPkBLT7CwMVsjmVBq2p8y2Jg2xgEjoJCKSogcH1cW2Jsm0IqTK0IjUVVtVSiJWlKHNvFNhLp2Ii6xHe6TE0jNAqB73WVh1LYNE1Lq51uX2K7lEWFEB0ZVLWdK41WYQkBlkApiWU5OK6FG/iQFViO04XhlAKtCV2bWrUIrcmTlLassF2XqOdD0XQyoiM5OTkBQEuP8doIoxVZkmM7hn5/A1wPy/NQxqDrGqlatG5p2pL5dMF8OuPoJGPZSJRxabQhKXKYTKnqAtu0qFZdHnj/6s8vzaCXjn2Fxe2POrpilmdIqwAEp6dn1E2Lc+kPr2uF4zhUVQV0+nAvipjNJthSIa2CNJ1S+z2CENZubNKmU3743e/wtV95h2/+e/8+f/av/wXl9BH/5X/1X7M4a/if//F/14HP3JDp+RlPHmmMlOxsjqkKxc5oC0uOkVaN9gfgST55/5hgLFglS7Q2pIuEptG8eHHGxekR//IPE4Q1oF3OeO3WDpsHBwShw3S+4MadN7l3+Jyd7X2yszM2NzeotSGI+pxm59zcv4ZSLVmWo41ES4MSFlnWVYn5XogXCuq6JtoMSZOMum3Is4z5xYTQD/DsLgkrL9uC1tbWABgNO3zuYj6nLEt6cYztdG6cxWLO5tYW02mXbQjDCKVatDYsL3HHjtMVcJdFQVkUHUIgDDl8+pTBYICUFp5jkxfFFQ3x5OQEIQVVXeMH3RdTa311M/MDn6pqGQyGPPnsKZ2HTDAarZEkOW1jiOOYtMjxPY9FsuLLb71FFEZXLVh/+dFHuK57+dlrBoMBv/d7/5ztrS3W19f5yXvvYYzhs3/1GVordre3WVtbQ0poasVqOWF3b5f9g+sIA/dOTlkul6A0lVR40scAge9RFhlZlXdtVegulHZZsDEIB7x0a5df+7U3OXp2yLXdfZaLGY8fH4Hw6F3eagaDbun64vgYz3UpypI3v/QmZVV2+ZFeyObmJmmacu3g4ArkVtcNd155hZ/85Cf02h7Pjo556dZLGGNYLpe8//57zGczXn3tNQaDMVpb9IIhP3r/I379G19nZ2ePT+/e5f69h3z7b/wWo9GI7Z0dru3v89lnT3Edh6IsODt9jmVZXLt2DRlElFXNJ/cfgrBpTIlQBrdpicKwA5XVLeliRRcalXi2hYMitDsPTSgVuC6Z7ErlfSOQQoGq0XVL27QMhwMWSUKqNbppGbkh0g/RdUXa5iin64moLvc8CHm1vG+bFtt2yGtFfGn9xe4OF0Ir2qalrCosFbKcLTibTFgb1bSNJF3VTJerDuxnSXphTKsUnu1QJAWVa+EZycagT1qVTFYLytZlKH2CwEW5zmVfwWeczye4nsR2BaNog/39Gwh8jDCYS/79fDnjxbMntG2FSWecHT7iYrrgdKGopMaSAbasKZIVvWCIqSuKNkPYFq1qfqH5+ksz6KPLQFS/3+f50SlFUbC3t4dqXao6x/f8rmeybZECosi/jPIvGUQRdVWySueUTYPlOGR5RUtAvczwxte5/7O7/I3f+OsYa0Y0GvNvfvA91sY9/tPf/W959y9+AM2CX3vrGkfHp9y4+QUePnkG9ZJbr7xK6IYk02Ny13Sn5umK1jki0zFluaCdW0znM558ds5oOGKRJLw4P+fi7AU3dEN/VLC7brM2tqhrBSbi1ddeRTgeg8GAn9/9hKDXxwlCirTmyeERWdmwmk4oys5y17YtWguyckEUS1x3QBD69CMHWwriXojvdovReNBja2+HxWxGUdd4vs2dV+8Agtm0QwnXquKTT/+S0A4pkk77712WOcRxzNPDQzY3t0izlFSkJKsVVVVxfn7G2to6URzz5MkTtra2kNIiDgKkkPR7/avAk+d5eJ5HludcXFyQZRmxJzFa0zQNWZZ1Do+6oaw6a9/W5j6PHz+hyEtAEIYBWVaQJClx1L+Sb+4/eMD+tQPmiwWj0QitNf/iD/6A1199jfsPHuC6Ll955x0ePHjAF954kw9/9lPyPO/wEAf7gGZvbxtHepfefxDC6nRfYXW1iKYbHpbrUDU1YWsx9mOW1ZLlfInRHf0z7sW0eQpK4aBwheTmtS2+8ModslmCKTVFo9C2z/b1mxx/9ozZbMbrr72O6zqcnU3Y2NzsbitRxNHzI9bX16/MBkEQdJWZ0ylpmrK2tsadO3f42c8+4u233+bdd9/FD56xcQlu29vb48aNG/zwhz/kgw8/5EtvfpkvvfkWL926xUsvvcSffPc7/M5v/xZf/8ZfYzFf8P6P3yWKIrQxpMsZju9TK4GqW3a39gl6Me/97ENa0YXmHNcBIwi8mDJNkRim8zmB6+I5Do7vYOkK09S4xqFEUrctltP1uyrLo5IWZVlhLimdrut2vHWvJVkWNKW+JFxKcBx000kXddOAa2NMS6sbfOlggNaxcAloLDCVom5LVkZjKY0nLEpj0LrqePRCcpbmrFrFaLlAapumbSjLBMvYVEWNh0A6gqosyMsChIOPQEhD2lQEvodn2eRVjho6xIQ00nTBszzvTApGM+5vcOvGHeLBGIXGUoYsW1E3iuOz59z9+cdkeYJnG6gMiZI4UYBvWbRGU5QlSmuKKkWplrpRyNpCa+sXmq+/NIO+bVuUUszmc1zXpd/vU1ZV5yyJfV7/4tsYZTBKk+UZy9WC4rLHsi5zgsBiOPKZzee8KJaEUUSbZGxsjpnOnjEcbvHi4oS3v/x13v3JD1hfX2P/xhf55Od3uXZji3t/+YzeKGR3fZ84kPRjm8n5BW4U0w8tNp0SWS5ITme0WYWJLE6nCT/6yUds7A/52cd3KQqXKH7K5vo6A99j484Ndgd91rfWsGyb/Zs7nJ9N+dIXv8rZdMbkbEqaZPTiAWnRkrUZRVkzWU2YzOc0aYbnxazSBS2SOqtQeUFFga98WlURRltsbmxhhMPFcsVqteLtd75AmeediyYM6Q+iK1/057a5k6OjTqNtOmudbWByckqv30dqQz+ISJIlWZaC6OQU25bUdclnh48Johgv8In6PYqqJIxjJtNJV0idLRACkjSnVQbVKIo8wXU7Gcayu6Wx47hUZdX9+sJid2eL8/MZWZ7j+z6+F/D8+ORSy+6asVarFV96602ePj9iuVzyxutvMJ/PWaUpvV6Ph48f8crtO4zGI7IsQynFn/7pn6FUy+npKf1+xJ07L3UFLP2Y6dkKpRriOKIoCpqmYbVcsbGxwXzVuW6yLEMaGAyGnJ2dURTF1QtKWl2xea/fo8pzVKW4fec23/jG13l07y5xFLC7t4fn+QzCqMuDvPwSWZZxdn5CHPcYrY/wo851tFh0JeaLZEU86HcZhSDCYLrP2Yu7xqW6qzZUbcsbb7zBZNrtYvr9Pr7v86Mf/Yivfe1rbG9v8+jJIT99/32atqXf7/Mb3/o2H/38Lr1eD8/3+OKX3+Hw8JAiyxBWQBwOeXE+ZVHkzOtn2LaNsm0cbSibhvH6BrP5nKwscFyLvMhBS0CjywJHGBzpYCybtm0QHQqMtmpIfYcKB9VKwGA7YFkS23EJXI/p7AVl2VBbEmG6AFSWZV2pkDFIz0HVDQKIvQBMlwexG01SJBjh4Eq7S4+qBmkkrSuRrYFLl5cxhiDo0BPpqiAKGvI8o6grLKEwtkIHgn7cw7FsemFEumpQpqGqcrAEwrcpVYEUgjRJEdLFuBabm5tsb28zGA0ZDcYEfg+/NyCrGpAObZ6TFwlPPntEmqzIkwWohkLZ5HlG4AYIoaizEikhdFxUqyirFcZIHDvCk4qm+f+pRp9d8tDbpqGuu3+Q+XyOG7k0quGDDz9hc7xJL45pGtjb3SXLMtI0RTWKulQEYQgmQdBJE1FvwGx+hpCara0tLNviZx99jBA1edpg+RG3ro05PHzC13/1mxw++IQoULRNiaTh1sEmUWjjWS1lNqdxQnrDEMfzeHwy5cV5wq3be8yzFRtbA+49eMqGu0abTtjq2Wwe3IQ8YzjsEfW22VjfwLaGPPzsKcvlini4xs7umKOjY9pWd7p13CfuRyyzJbNkge24WMYGy8K1bXpBRC0Ma2tr7B8cIG2ftq1Z5TmuGzAYOcRRhO8HKNWyXK3Y2NimLEuqqmZre5ezszMsy8G2XYqyS9AuFgvyouiAZpcUyaOzEyzrcytkx1+Xl7VtbdN0FsvFAt/3ybOMMs/J05Q4cmiVuvSed9JQWWUIaVAtBFFAqjO0MihlEAKGwyFKaVZpgbBctJAssxQtdOfG8iUWmv44plUlTVuzd7DP0fFzJpMpnucyGAwIx2NuvnSLe3c/pdeLaeoaS0pevvUyaZHh+13y1nEsPN+9ZLk0PH7yhFu3bnDrpZc4evaM8/NP8C4tbGujMely1UlVZYnRBq275KVWmjwzxHYzAAAgAElEQVTLkSXYUnQs9zgizVZo03J2fsJw0Of05IS43/XiNm1LVVVcnJ+z/eVdtDaXNY5n7OzsXL1wfM/HHne+8igMOX5eY1k2w8GIrCwpmpInR0e8/voXkK3k9OSMl19+mel8QRBEPHjwkNlszmh9i/F4DSkl9+7d46NP7nLt4ICLyYzFcsH+/j7zZfdn01IyfXFKawTaclDa4FkuviUYjboOgPlk2vGJZEcY9R0Ly5GUZY42YHs+ed3RKv0oAi2wrO52UhpojAXaQqsGieqKa4KIZLWiMAqkwG2h1J0M1tQNbhx2ZTGmw0x0DiWXum0wjaYtGoLYp2kMou0AaBjTFZRgEFp3LVSy43vkeYHQmrXRoGPbS0nY65FNp9iujRsGDHsDQs8nTVOaqoO0YSo8u8tPVLqFpkMuW7ZHYEVIYXHzxkv0+hGOE9AKq/McCUGarEimM5JsysnJU7Kk602wpUBVLY50EQik7WJs8Gio6hRbWjStwZWGa32f1nXJs/wXmq+/NIP+rbdewShBkhYsl1OqKiWKoKmqrg7N93l+dB8BFGVFb22NanJOGThcH66zvj3g8ePHJEnCcr6i5wuqKsVKEhhGPL5/jxt37uDUc9Y29nnz7TehzPnpjx/S6wc8eHDOjWt7lGWN51j0ewOkSgnDAUEQkjwtaYVNhsR2Lc4XZ2xvbqJlgOs07K/f5pW9HVxb0R+M0a3g+sEmR89eMBquIaKA04sJruPSC3ssFzmu5XNycoplSWbnR4RRxA9//FOySrOYpPTiAZZrwBbU5QKloLg8sRRZTr6YM+gP0UrRtC11Xl9+ATzSJKGqKtbW1sjSznXzeWF4nuUMhyPyPEe5DYPhkLZpcJqGQb+TR84uzonCkMl0ShSGWFJecug7y+F0PsO2bV6+fZuz09MOT+H7rI3GZNkcy7KYXEyxbUnTNMRx3PW5TlPapkVIC2MEQkgsy6IqGy4mx2R5y/ol2qCua8Iw7E7UUnY+dW2oW8Urr7zCbLEkimKCsGBnvMb29jYXFxc8/PguthBUac5yOuet12937hNLXjVhzS6mPPjoHtGws41GgWDQ83j22UOGwyF5tmIx74pHUB2GAa1xLRssUG0Xw9e60+axBG0DvUHIO1/5CuvrA6Znz1lf2+PeJx/jOh1JMep1i9PlatXhHZoWDfTDHvt7e7iud5VQtR27k0mA1SqhN1qjyHOOTk7Z27/Bb23u8ge//weET19wbXeHVbKiMQbLD8iM4WyVcpFmcHwOl0vvqqqwHIfTSzTBqml5ePgMW1oYpVBOl19pipLY9emPhpyfniG0YdGWtK3CtW2oalwpoW7wHEnRloQOWHZIWSuqRtELQioDsq0Qsqtq9LWiEDWJHWAZB6+xcS3JqshRWYHnR1SiolQlvuUhA4HoWchGo6TB0xY1Jbo1KC3wLLD9GBUU6NrgCIMbuZhaUDc1Rmgs3bllOjSCoTEaipSeb7NKl8RxD8/zcewQ7BTHCEI7JK+rrsMh7hG4NsefL98VtFjEYUSZJ6zFQ4Zxj7X1dTa39xmvb2FJQdMo8FyqquZiMuFicsbi7JwkmXL84hmB00MIq/v/ZHW7NuHZBK6LaiVt2aKlRV21FE2LblqKOmd/d4u1zeH/7Rz9f3p+aQb95uZLuJ6LQWPo/Nmz2ZQwiro6rarCahqSNKFtW44Xzwm8MQspcLGpM8Wot45tHI7aBjccYGUrPM8Qr+/z0s4t7j/4kBu7+7z19pd59913uXXzGqNe1Hm76RZiGzsHWI7DYOwBPQJ/QJKsGL32RVCK4TAGy+NldqmagqxMGcVdmtBoQ2NpHNujyBvi3oD9AxfHDZglCbYdUFY1pu0asJI0wXW7Fp6iKLhx/QbrowvKsymzyTGR76EJcT0LGgujMuLIYFkD1kZ9bM+jLg1aQ9MY/KBDBWdJgmq7k4/UkOXlFU7XDywuJjOWyxN2drbJFh2SdrlY0DQNR0dHADRNQ3+8xnDUIZFn0xl1UyNEd+KPoxitFJOzc7Ik7fztQpKlKWXV4ZCjMCLJUjw/RArBapXi+B6+7zOZTDo/vm0ziGMuLi7I64bhYIhSXbGI67qdm+fS42/ZFo7js1glKCw8P+B8csE777zD4cMHPH3+FEtKVtmKOIoYDUe89vor7O1eI006N0vZNPhxzABYZBlbWxsYYHNri9ls1vnKHzwgjmLiuMdsllxxgVptEJa8ciYZ012fpSUBgXRsxsMxeTIld0EpTX8w4vptl/Ozc8LhENfzSLOCn/zkPYSQzOYrfM/llVdfRbctRdGVmx/s75MXBfN5V9o9m80o286iqtqW7/3gLzA4jNZ3eXZ8zmy5pD8csHpyyHQxIylrjOchhEDojgtvjOH6rZtMz84pi4JluqQ2CmMJtLnE/zYVw/6QtV7EIks5PzuhF4boqkHpGqFaPM/FiXzKLMeyLbSwUXWDH4cIz0HUK6LAw5GiC/nRgOi4QJPGpZYuljQIIai1phEa09QM/JDahtjp0rrLLEcZjW17HeSw7aB7UThEa4WhxZUujeokHtUatO52Q9ubW6SXN7C0KLuWMtUhP9qywuuFVHRhqbxIQCjiXoBqQrBdxutDwtAjilyiyKWpa64Jj6KpeD49x5VOV0g/7NGPepi2pdYtizRB2S6x6xJHfSzf52KRURQZ9x/8nHKZURQFth1dtbNVjaLRAtu2KJMMGRsEEuH4CFqELYmUhwgMra54cTHjxcWMV2+//Feer780g36xMoSRwXEkjuMjLMP2zk0MmrZVRJGgqXL669u4rssrvER2+IA8tKlTyaPHT0gWE148e0rQC6nKAoxikTisjzd59/13uXmwi/D7/OD9j/itb32TF8fPqOqavf19qnQJquZiMmN7cx3LtXCdPo22sPwQ6ftYtcayhkwWE1o0ZamI/BGe07klXNel33NYrbrlZmMEeaOokhl+FPHi+Jj+YEBdV+wdHHA2nSO15uLigrW1Nd5/70OK2sG3fYbxkCCAuN+jrjXCUrR1g6otWrslzUu0UsR2SxxH+EHnM3/3g49465WORS9EF6IRjkMYRZ2f3cCwPyAMQx4+fEg6n6OV4vj4mDt37tC2LXme88qrr1IrSJOEk9Xqim5oSYswCrAkOLbNar7A9TzaqkZJi9DzyRWkZY5WXHJEHJRqaeqWKOhRVjWtMkhpIy0HpUFaDkHQ6adZ3l1Li6LoUMpl108Q9wcEYcjWzg5r65tkRU4c95lczLAvkRif5wCEEEhLdnuKKKYoSwLfx/U87Mte2TTLaU1nt6vbhtH6GnlRsLW7gyUtirIb5J+HwCazKUp3Eai2ba74KFprkCC0wXMtjIGT025pvbmxydrYdICrNGU6nbJcLBiNxqxWK27duoltWfiuTWkEddNiuT4ffHKXxXzJ0bNjbKurabSsAEVDWhakaYYlLGzp4Acxli05vZiAFNheh7Ko25qqrBgGIeN+HyktTp4/x/UDLNel53q4ZdE5U4Rg0OvjeLBarqg0XQrTtWnzDFcLtN1hiZu6IatKMBrP6voiRntbFElKkxXY0qKuK9rLhHRR1mBDbzRCm44jY7XQaoXj+7SYLkBoh8yavFs+FgV102B5DkVdEcQhqqqxL5HlQhgQElvaIC2q0mACB9UKSmEYaIPQ5krP11rjWTbadOE9pRRSSBbJCjcWOP0+ruvgbm5QNi1h4GMJQZqlrJKEtNQMPR+Nouf4RL2Ov2T5NnmVUeY15Am27bMxWMN2faQbMl8kzC9mFPmKMs1Zpsvuu9kYmqpBa3BcC6UadN252ag1A9+nbC1aKYl8RVnml3kiENK+woD8VZ9fmkF//9M/xGYdO/K4sXObXq9HrRusyOlSlG2L5YVUTU2VV4TSp3I3sfUId0Px2nCb4eATnj66y3q/R1ml1MoQHKxz/OGH9HY3WOUlb779Gp7v8vTZCX1fEtkt0+kFvcAjyxuiOOLp40fc/sJtlknN5HzK9YMt6qyzM2XTCdliRl1VSAyW1LSNxnUColigjI1rxSR5gdNTeI7AGElVVqyv7XTFwqMek4sL1kcDJssVOD7buzcpRcCn/+b7vDg8pRdGjAYWDkNsL2WRVjTSIu45xP6QvufiApYjr6iGtgTV1hRleSW1GGPY3NsnCDp6ZZp25c9+4AOCsiw7VsyllBPH8RXiGMvn0aMnnJyedgPzMjBVViW6ra785qPRCAn4vk+WptRV0wVsbJe416euK9Kk4eDgGrPpAs8P8P0a27FZLBZoDUXVlYu0VXuFUxZCdANbSnzfB2kRhDFKGw6fHuF6Ho3SDIdDsnTFeDhie2cLDKRZRq8Xdw1VYR+WKdFgreuodTx645jhRkLdzNFGMhyN2NreJktTTk5POZ+csbt7DabdkJjNZoRxhO04TCaTK9YSgOu6XZOVMSAEe7vXeO+993nt1VfA2HheVwDz4MED7ty5w/7ePlVd0bYtgecynS+5WKS8+95H1FpQtQ1Igc4zBr0e8WDIxfk5tV1iqgaJYLM/xg08TicXLPI5pB02QClFlnRViTs7O8iBZDFPeHF0iu/7NFqR10tc26EXxWz2ekReyPOjI9osR0oHy5hOpspanMBD2nZ3g7ncT7jSwokHFEUO0qZRLefn5/TCCCkkRmhct0OUeJ6HtiQIOJ9PuNaDVgvyWuD5Fq1pCLWk1TWLViOrhmmWUktBbUFYtniujWxBYONaFmWdYts2ruNTN5pa5WjbYJqGyOk+/zSZY4TBdW08XFLVoCQ0dYsnbEK748hr3UMFA7Ks5Pq16zgYZnmCa4DacPjskFmywHN8ssvawq3NTao6p8xWoCKkrLBNgGU0TVOzKlOMG5CWc84XJ9z9y5+R5lNm5zNao2i1wpc2RmvqWuMoFym7Ll5tDBpYpQmuZyGFwHVjxuMxRVEQhA2O1X0Xf5Hnl2bQb69fQ6iYQuQcHx9eOjEEGocgCFGqRdGwtrbehU3IKRbnDIcRrYKybnjw8C5RFBBHEVm+xLZsXD/kbHnCoil55+2v8+6Pf8zO9hrX9/fZXtthMAhYJcdIJON+Hy0Na6MRbamRUjAajbv+RzSbW1ucnZ1iWxZn8zl7e3ss5hOCyCNwA8oSJB62NMSh5PTsgu3da7w4PaPMFav0DD+0sVWf0XjI5Cwl0w3Scjg6OWOVtBzs3aZOc4xSaN1iuwLdGigqLCUIZNBxw8uSa1ubuIF7NehV04V2JrMl6xvrBHGfzc0tLN+lKkvquqaoKqbzOefn551O3FSUbcuN/f2unenhI7TpJIKkaEnT9Ao9bFlW54H3PNaHA6q6C6JopRCOw3w26yyCg34n5dg2TV1T1y1BGNE2XUdoWmTYXqc9121DqxVVU5OXBYHtMxqNLvMR3al+bW0Nx7bJW8Ny1YV51jY30dogpM3BwQH/0d/9D+n3BxijsS0HpOTTux9TFCVaWLz9lV9hc2uLoN/D2Daqqnnrna/wvT/9Y+7cvsP9h/f59O6jy0Bej9FYUFXdy/1zj3a+ShFCsDlaYzadIaS46kcQVoNt2VwkK/7Xf/6/8e1vfQs38PG8jnVTlxVf+5WvMR4PSZO0C6JVFUdPn/Dhxw+ocCirlmG/j9Et/d4AfzBgMpmQHJ90aNq27m5vtstqvqBNDPMyxw19fOQVmnrzsjf3/Py8Iz4KSbQ2oqpK6krTi0I2RmsYrTmZzAisBH8QgHZIl0t8LCgVtdMxjIqyJo4iPN+6hNr1OD09Z9gLyZIVqJbhcEijWvAd1sIRGMPZ2Rlaa1TToFSLa9koVYOwEbJGyhCMINOGMkmIpIOlW2qjaaoWaUy3eLVtbEfguG4nu1xKUm3bMhz1UW3IYrpgWqaosgVt0I5Nf9AncG1M22IqQVIU6EvEdkYnueV5TgoMopgo7KErUG3KKl/RljVZtqRuS0IvvKpQvEhyIilw0YSxyzJZkKcZylGsS0GjYL4suZjPSMpzHn32CVq3KOWiFYjaUMcSm85o0C22uxt4qxRpVRDYDpoGx/Vpa8NstkRKC6NBNjWLNAdu/JXn67910AshDoD/BdgGNPA/GGP+kRBiDPyzy9/tEPgPjDFzIYQA/hHwW0AO/H1jzAf/tt+nKVdYOES9mNp0rUS2Y2NJQZHNu0HjWjw9fEgc90jylNgxTLIXxD0PP5JM5s/xfJss76iDvucxmc8pkhTXH7C9c50oSnFkQ7KYMu15wBBPjrBRWKLG82KqqsAoum1BXRH5kkEUUuUZRZZiTHfKLMuSujEMXZ80SQjDdSxLcDE5Z3trnaryWCxWJElGWqT4QYAtJa4TgZHUTc5kuSDqr5HPcx48OCRPUpRyyFYZ65sOrapxfZed/T2miwQ3DBhHI6g73k+tavI8x/O8K4/5+sZG17cqre5knnbBIyklvbhH23S4gaaqceOIxXLB6eSCw+PnZFnG2niMZVnYbUudJAzGI/rDAa7v4/hulwQtS3px77LIpKGuK4LAZ29/l62NbYqqYr5cgAApBOZzrnwQI7Co65qnz54RhSFn5xMs6TDsDanLiizLaJpuyA4GA1zHIclLgrjPzs4uo7U13njjTTZ3dzm/uMC3PJoanjx+Rtt2aIHr166zvXXAYjYnbWpmixWLVYd7QEq0UliWze7OdbKsYXNjn5dvvcFiOacqSz699wladS+bzy15AHVVM5/P2d7Z5vz8HK002qjLBK9F0yhK0fDxJ3f59m/8Oq1RHD5/3oHQgoBsteA73/kTzld511rlBETRCKttUG3NapUQ9kLaumJVlAR+yCpZ4bgeL+/vcT6fcTw7w3U9tILA87GkjdAax3FYW1vj9PT0KiJfliWttPDGLtoY1kZjdrY2SOYLsiRlPBySLc6xbYllWkQQYF92Luu2xLJsjKlYJilr62OEgDRZEntQ5Bmua+P7MdOswPM8rm8f8ODJp4ycgDUnZFkk2LaF57pXWYkGibAuX6DGwsGmamsa05LrArRAKY1yJK2UaAmR42Au06xadgv8IAiwbYEqWzxc5KWt0pIC6hargbouKewWP/AYej5gKPICpVqMkbQNZHWFAupaURWKJMnxLUlWZNRNh3JIs5SqriirisgNMJ6DajRJVbDIKpQ2OEZSVg2x7maH1g3pMiMtSnRd40iDRiMtEDRoQEhDaxqMosNiOF33gSUFRQNNVeN5AtU0VHVJrRVtUf5/It20wH9ujPlACNEDfiqE+A7w94HvGmP+GyHE7wK/C/wXwN8Ebl/++Brw31/+/P/6HN+/z9adrzE9WRDqDGs4pp2cYi61Tdd10YAtDPnqHKldzmcpcayYnqxImxpRGRZpjrYsclXToqmTktL3GUQ7/Nmffp/+0OH2Swd4wTbL2ZTZ6QvGo22GawFxz8ItWnSjmJ6fUguD60jKvMJ21qmqlmXWMBwHjKIRbWOoa422bGohqS5WKE/TD0Ly0mGRneI6BUlywfrONcKgT57lFJnNMlsy3t3FXd/k+HjCk0fHBLHLxWxKVk8QTkueS0SvYjpJENLC8kKE8NGtx/bWOqv5GbawiEKb5SKlH7m4jsvhZ0+xbcnu7m5XAiLoko6XpMrlcsmtW7e4eeMGH/3sA+bzBa7rMegP2NvdIwi6fs/VxQLpdOzrpv2/2nvTGNuy8zzvWcOez3xquHXnnsjuZrMpkRSHSIqU2IaCwLAcxAZkOM4ABfrjIE7+BFHyKz8CJIgRKwGSwEKCwAmCKI5NxAYhyEg0BSItmoOoZrPnO/ateTrjntda+bHOLTUpiryNmLzN2+cFCnXO3rsKu1at8+21vu/93rdFtA3d0Cv3jfobF5MtDCOk9EG51+uwmM2YrR62xjqcAKEUxjqKReGtBvOcK1uXMdaQhIm/T9MwaXygfrhSXq4MSPrdMU3VMDk65fTohN17u2xfu0avP2DU3eTpp54mTbvoIODSpUvcvnWLpm0x0qHjECklVVnSIknihKqsmM8WJJ0Rk/Nzss6QRVGhgox+OuDnf26Hpin5+7/5G5gVVbSqKoT0Qml7e3tIIck6GVVVEUaatm05P5+SZT1eff0Wt96+Tb6YUTnLjavX+KM//jankzlRkpKXgjDuEqy0fpTSfPpTn+LB7q7XM5ouScIIKy1PX7vB/v4+t3a9XIVWCWVRIIQXh4t0QJR58bnDk2NqLIGSSOfNYtIgpl2W7GxsUNUFD+7eQyOoq5p0ccZWr0NTVt5wRkcUZcHGeEx1bpjPvXXg+fmU09NzFIZIOvppRNk6jNDMa8PVnW1m0xlvvfYqURRQNQ2mtQyGIybzyUUzGHaJE4pWKJrGoTHM6wapFC2Oxmhs0xIIjXaSNIsIAkEr1cokOyNqG0IkZdtSNQKhNUEvpi8b2sZ3OBNoalOiAkFvlZuvMGilGA47pCLEOsuiKpnv3+d2PmfYG4I1WNfyYP8QbI0OOzRtQZkXzOcFYZKhqpxcRdiios09u63b6RLVknqeI4eWJIrY2driwb3bOAMQeJkELUE6Ei2R2ktGWGMInEApiXQC0VoWVAQyoK5qn85xLXVTe8aQc//8JRCcc/vA/ur1XAjxOnAF+EXg51eX/T3g9/CB/heB/8X5KPCHQoiBEGJn9Xv+THTEjDd/5+9x6573AX3qEz/NsN9HuITRuO9XpkuNVTW1KZAixFGSFw0yKvnml3+HqxsjYqe5/eYdrl+/zunihI3NEZVt2dgccrB/QBxvc+v2PW5efRbpGm90rR1vvHYL2wo2r27Si1O2b1xlefQux4enbA77lBWUlaE/Gq1WsVDlOUVlQCYYV7K3e5eXX3wKhOV4ecpofAWHY1vGTIuKyeIULNTVGUYkfPsrbzLYGPH2228Thw337t3BNjWmatBSUhcW6+aYxuGoaKzj9OyUS5fGhHqLQXcIrVfx1IEi6EY4JQmCiE6Wsr9/yGc+8xlOT085OTmhqiqvxSID3njtTSbTKb1uxic+/hNIKUiSxNvV1RX7e/vkZY1zkn53wIODfS+jW1RsXdoijjKCQKO1Is0iWtPStg1379xHKemLppe2aaylaVqquqQ1kk4voz/qUxYFy+WSthVIJTifLFjOC6xxVCvhJ4FvsBr0huRlRZamPPf8R+kPhiRph/HmJmmaoYQCKrq9mCgKebB7m7pdIhAEKiRJM5bLOZGSNGVOtVzgcMgwwClLb6NHEifErS+qF3lOmbd00z+xryxLz9wAzwCTQiKkTx9cuXKFZqWhf3525gNg0dAGgsFgi2e6A24f7tKGCpEmTJsKIUFrR7VKRYzHY95+550Ldy6tNVmacnx+xv3jA3Qa0RTFxY7locBcEPi+gLL0yq0CSRLF2Kahk6R+JyUtJq/ZvX+POM2IlSCxJVtZiJMD2qrAmhYpNY0xOB1gwozhwBHoiKOjQwJTE6NwQUDlNJNFwzPXr3BytE8qDafHh4RhSLeTIq1jUReIOKVqGy7v7FCUJdPpFIUh1hrZOGSiqDEIoS7GWDiIVYA0lloVlC0sSkc/1rggYFrnhEpSNRXRoIuyFikkUagZdzKOpjOK2vv2hkognaWTRtimJXJgnTcxqmKfcuymMVESUBmDthBnXaZnp1gnkAjKomCWT5HSEQYOWRU4ETFZLtjo9ulECQsn2B6N6Pa2aKnpDBN2NraYzs4pFznKQIPX9VFCIR2I2vgeGalpjMMKz8e3bYPTikzE1E1FIBXLxQKL126qbEsShN/h1/DPJdC/F0KIm8BPAl8Bth8Gb+fcvhBia3XZFeDd9/zYg9Wx7xvoZ/mS609f5+mP/yTmfBfRCYn7K/eZMvft4Cd3MGFIbzSmLiSbm5dZLhdUjWKzmzGfnhMPuvSvjphTYiOFbQuef/4jvPHmHdIsoSwLRqMxdWu4evmyFysq9kmylqat2d9vKNIOsyonDQTOClrjyLob9PqCeT5lWRSEYUx30Gc2nYAIUDIl63cQcZe2KRDKMFsUvPPOO9y4eZM2n5LEHd8C7jrkyxoRCspiyuawx1tvv0MYaA52j4kCTaAs3V5JZQr62RWEClFRwtACol1Z6s2Itb1YcXY7nYuVcBBGPLW1zd2797lz584FjVMpRRIn1E3DYr6kLAsOj4556WMveo2QvGA2m7G9fQnMEff3djmenDMejbCr/HegAqq6ZTqZI5Wj08nIiyVNXdEf9OiPBvR6PZBe/TAIA6ywpEpS2Jqm9quUOEnI85zTszP2Dw8JVUwYhsRptnIO87olZdMyGg557iMfZXtnBxX4IuzRwRFhHOOsI00z0jT1uX3n0EFImqSoIMJYA1YipUIpQWfQ8RzyYsF0OqNtGxaLnCiMSNOUbqdPtVxcaORbay/G9SHT5qFmu9aao+NjPv+zP83du3epTz0FUAKBdKSR4MHpMTKKWJQLMhWglcJpg3M1ceybsk5PT0nTlOl0SpZlPHXzJm/cuYVOIgDqPCdOEk8zVort7Q329vZ8jWSlDPpwJybqligML9I4xhjmqqLjHFnlqG1LKVuEjAhFjJAK4yRV3RBEycrgPcfVOQrH1nhAUy2ZLpY4FN1hB2Yz9vf3CJUipEEI6VUYm9YzsqKYxllGWYej4+ML8xaDpcHSSIgEBE56sTDlBeFaZ8nbmjgIkSqiNYogSHFtS+UsLRaERTnn03vC0TpHt9ulg2KqFS0WLTSmKohCTdiLCaykni8wjaMUjnmxAKVRStPNEqpljq1KGhEiZUwYZEgZcD49JdKaONMMOimhCDAtqCZk0O+jo4DeeMTlqzcYdEdUtiHpZ4RxyPwg5+RsQosDpUEbQiWIlMYZS+1aWmGxAQgHznnNL2kFxbIkjDR12yCUQOF9ELQTtFbhxA9JAkEI0QH+IfAfOOdmQvyZpoXf68SfSigJIX4F+BWAXreDHn2EKi6olwva7pi2rVHnhk40Y3paknY09+98icsv/izTg3Nef+NbvPRTP8vGeMTsfk7TQv9SF1OXXOsmVLWg6ittYbgAACAASURBVCqk3qCoS6IIH4BNSrVccng2IZ/PeeHZHRbLgCQes5EFnJ7NKPOCrusRRjF7+wcMx1tMSkMUK2oHUbKBpUAHA7obcw5Opsznc7au3OCdkxNso5ieN1y7tsmLH/80Bwf7mOwyJ2XNyekp08MCa2vSTkIcJbz+ytc4OZyzd3IHrQOca+hkXSLZJQkjWkKOT06RUU6a9RAuodaO3igCW4O1OBzLFV3zzTff5t13d+n1up6rXFS+ALVcEEXxynatIQhDkp5/OCwWOc6JVYeq4/DgmCs3bhAkCbdv3+bO3XtgfNPN7Xdu0+8MUUoxGPT541depapKlBKMRiOC1AvUdbodLu1cojcYUNZe28bWgqIoOTk55uT01JtOlxVSa5oWqkWBlHIV8GN63S6drMOlnR0++rGPMxqNOD48YXzp0srpKVxRJxP29vZojFlZwmkq02Caxjf5xOGF4FhRFggt6fZ6dHs9wsCbrpQriqyUkjbrEAeh/5BojRCCpmk8UyZJGAwHFzzotJPy5S9/mSiKfCH07JyPPf8Sb77+GncfHBFlPmhsDTagrJnNPM9/a3uL8+kps9mSwCU4Y/gXf+7n+Oo3v8HXXv8W/azrmRnLAqkU87n3mw2CgHcf7GKN4fz8nCjymkn1qhv1xmibWbHk8OiI1nnv1StaImyBtQ1ZHLEoWpqZIRQlSX+MTvtc2txk9917yKZBK4utGy8I5ixRZ8DNjW2miyVnZ+cga5QQfO6zn+X3/t8/JApTpG1J0pigk13ITxycnmKNIopSjLUIbWjtHFRGS4OTEicU1lU4QDuBcQZjGlyjCRRIGgolSJQmqBqsqmjDADnPMVGAFLAsFhRLR6/bgcWcpmlIOhlJHCAbgQwUaZD4ore1yHKJs4a6zZmceL2iew9uE4YJYRyDbDE1DAc9dKIYb2whre9JiDqaQZChdESQZQRJho48L74fxyRZyuT4mNdee5W6qUlUhDENgyQDCUpImrZG1Q1C+pqCcKC0p+pKJEbjKdsr3aggCC4UOEXgLhziHhWPFOiFEAE+yP9vzrkvrA4fPkzJCCF2gKPV8QfAtff8+FVg77t/p3Pu14FfB9i5tOm++pu/QSGXvPTyv0Rv1CMKJX/09S8w3XtAoDogGhpbcfPlkHTo+PwnrkLScHL2gG98/Q/ZGXWxTUBZOHS1JOmFxFojZMT53ik60pwfVQwyzbC3xZ1b97i+vcO3X3+HqzeuIwJNUdRkWYZzkuPjU8q2w+alHc6mMxb1EXESEqcRwrZkXcXB8TlIx3JRAQGliQmCS0zKM5Kh4u7hzBcwoz7v3r6HkJKjw2Mae04Wj0D0eHfvmCTtEIQVcRJSlxahJWGmqV2JMo4wCrh65TJnecMib+nEhnxpWUYx3V6KFg1lsUQqsM7yS7/0S3zpS1/iwQPvVHR6cEiaZReGIJ1OZ6X3kfDgcI9ut8ve/qHnhN+5x4svvMBsdsSbb79NFEbkeUlTNfS7PY6Pjoh0SFUZnGuQUtPvjfDzznpmgFPUteTwcMb5JKdqG+I4IkoSYuVTDsPhNkk6QErJyfExZV3RTQYIHFmaMRwNvf3hpUs452itYTqdcXJ2Tqfb4967D3DGEcbeHUhIwc2bN2gbgw48O0FIaA2EgaZu2tUHxq/iHiIMQ6z1OkCBjnDOYK03wqnyEuA7tsla6wtHo6qq2NraYrb0zKS2bZlMJnz205/kjTffgTAlDCK/BW9btINawFPPPsPJyQl379+n0+nQ7/U9pXWx4J/+sz/07fhh7CmbxjAcDMirko3RFru7u16GQkiC0Ju3NFVDguKp7U1mywl7h/vU2qKbms0kA+coFzmD0YCqsuRNjQ4ywiAg0gqChLPZEiPO6PYHtGWOKQtiHdIoGG6MOT6dkpczQi3pZyGLpUPQ8NUvfwXpQGrv8ZqGkkVRYeqWpqkJlUSFkqI21FFKp/LGMgqLtA1SBwirsFhoHW1rkXpV/G6Mlw+IY5Q0NG1JIAWtTcA5QgXWBiAs5bwkjlLmsxmxCsiGEWGwciErGobjAbVYgJNcCmLODgwy9A101klMK6ibgrKq2YxTer0BQkqM8zvmfLng/OSEfrfHTjxiOO4Tj0Z0u2NUEFO0ltPZGXESo43jD/7g93jzrddomwIVdwl1QCgVykFjDSrQ1FUFUhElMapoiMMI58DWhiWGQIQ46+VgOp2OFwhcLqmsfwC8HzwK60YA/xPwunPuv37PqX8M/FvAf7H6/o/ec/zfE0L8Br4IO/1B+XkAZ2dEquCrX/8SN579JJ0kZnJ2ByUPkKpLGAleePmzRJ3LRDrl3B0SpttU5QnFcoLtae/gNBxiFoK8WpClPaTWxGmKXDQMBsmqkFFwfrzL5a0NJsuK5t4DdjbH/mkdaqRS9HoJjTF0un3yPGdydkba7TItG6ZnS65eH3B20iJ1zmTi6Y2tW1AsK6JY0ulFnJzveYcjITg5PWHQH3jXn0AQhV2qomG2yHEW8rL2kQm/Os+6XaSxCLzrexAGyHlLJ+2CbajrhuPjY6zroZUgEBIBtK2lv32NT7z8MlcvX2GxXNAUflu/vbXF3v7+RQ74s5/5DH/9hY/w+htv8Pu///sYY7i0vX2h/kgQsFguuXr1Ct0k5Y3XX/dyvUWJaQM63Q5CKDbGY7a2NnjhY8/z1FNPEaRd4iRBJDHf+NpX2Xv3HmHi0zKu8pLSDwNjURRcv/Y0TdsyO5/y6rdfpahqLL75abHM+fRP/RTdTofWWa5eu0HbGs+cQaCVpqlbnHVIofES4u7CAD2MJVGUEuPFs6xxVFWFtRalvG0caKwB0xqs8w/LAO9yBl5wL8oyAuULrk5pECVXru5Q5CVSaUzTsrUxIElTXvnWt4jTDnHWZback6QpTVFyfnLK1tXLnE0n3mw861AWDUKWRFFA4yymsZTLnCRJCWP/QZ/P52xf3uHo5Hi1A/I7DxUEWGPIopAbNy5zd3cP21pEpIiMI7ACV9ZYDDLQzOYLcJY07VBah0HgRIyZTkjrElsvUaOhZ4N0MpTShFpxcHCIkpq2aZHWEShBN+2zmJ7jlGBr1EHqiP2jY6Zz6KQR0jk6Scp5XdGJYrJUeznhtkabkFY4nFaoOKJZNgRK0bQVQRjhsBjTIh04aWmcQTY1gVJey75R2AhK0aCNoywLolixLHJS5R/CYRxgpN8dKA1ZoEE4TOgfkP1el3plSTovSqIw9EyXqiXPS7QKcLFgMZlCY4CKQX/AsN8nSTo0zhEK3/TVtC3GaYyVnE+mLKen3L5/i7IuUEFEQE0gI3CaRTVHaYWSGqm8o55c1Yta6wutoRSkSCwRTtXISNEZD6BsCGVMkma+IfR94FFW9D8N/A3gW0KIb66O/Sf4AP/3hRC/DNwH/urq3G/iqZXv4OmV/84j3YhYkouCEQHVg6+zNHPGccDLP/OXmLmCy5eeYtFeRQlJaXJ00qEtFyz332E41LRtTpiUxHGH+bxAiZCAFKMgSrdJs5B5+S5BYMgyxfVrG5ye7ZJ1E7rdEYenJ2xvDRgOx2RpTV5WlEXJ8dn0obsjp5MTZkXLYl5xb/c2kR5SNpMVjXHOeDCkk0RUVQtO0OnA4eSEzfEO43GPJIk5Pj9kMbcIueSlj7/MW7fv48qCyXKObVqUEIRhTKAjgqALTkHrmBwvENIQRgqtJaY2CNtS1w3DrTHFfIZzGodn23S7XRbLBQf7+3zqcz9LXdecnZ1x7aMfQyvvz6m7Pcbjq/z056/ycz/zC75QqxQnp6fcuXObt956jTfffIu7b91jZ2eHS5evEycxn3jxBeJshFKa8eYGl6/s0Ol2ybKM3rAHOkYicQZ+4hM/xU984lMI6Zk3tnCgJEpILCCBpqmRWkPttcNNU2MdyFWXrHMOKyxNWTOdTlgWFSqMyJIOrcZ/KDU0DoIoJYtClgtvmGERoCRt3WKMRSrlDcat330IJTFN400rlMK2vuhljCXQ4eq1Ic+LiwYgYwxJ2uF84vVqiqohCjS9LOXde3ewYZf52ZStrS06/R5t21It5/SSgLOjY0oBUWdIUllefPo6b9y7zbIoUTqgsi3dbhfTNOAczz77LPdv3WFvb28lB6BJ4hhpwTWGcX9IKBVv7+5j64qOEdgQRFGinUUosUrV+ZRT7RrysmDY32Y+m7NYHnnXMCUpTItdzCjKko+//DJHR0cc7B0ShCG2NURa4xzkZcu162PSrreQPDs7YXK8j1YKYVtMbTGtRUYpG5eGzM8nmHyGUNCRngFjTEEcZURoog7Mly0yTBBSY42XazDS+FrN1NtyYgW1lQi3wOQWIwQiaIgkVJWhP+owz3OMsHRrjSMkjDI6nYDzeYOKYrSQBCpGZwqMw9Q1zuYYU9OUMaYqKfIJVodcH91ko9fDmYZISi8XHYScLmbMT07YFJDnBXE6YJ63HJ0dMp9OeP2VV5ienRPIkCBKaE2B0RKURWqFXJnOdOOIEEksQ0giyrqmsYZGCHQj0JFGBwkbO9uAIRkmFP2Go+ODC/rxo+JRWDd/wPfOuwP8ue9xvQP+5vu6C2CUxozGI+rjGWWwYDzc5CMvfhr6n2AclEwmC8abfd81qANCJXntj7/O+d4dTk4PEcNtep0OxbGX/k2yDaplgY4SRuMbOGXJF3s4VzFZLLl+7Rq9bpc7d+5y784uo/EGcaBJI8tsWTLPl0xPfeNRiyONN5lOjqibJWV+RlGUtO0+i3lOvzfi+OgM0TjmQcN41EVHltm8QaoKqQ2nR8fcXeRcv/kM1XyXXr/Lwe4paSfBuQQRtASNBmFJgwxXh1TOMzKWxjGpK3YubzKfV95GLu5Q1C1CFOw+2EU6w3g4QgpIsw4g2djc8l6eswnn5+d88lOfRitFvz8gy1ImkylRmJIXOUmaYYz1sgrdPs88+1FefOklWtMyHAyZzWf0e32OT475R//wC9ig4bmPPMXm1jadbpfx5sgbNkcxdeUIwgChFMJopFAI6bn8tucnqAWwDmccgdK+TV35FapOfRFUColKulhWgWMgPD2u9iYVtRI0xpuXxKvC6XK5pC5L8jz3OWrrg7tEeI5ysLLGCyMG/T4S0GGEjmPaoiSMJAJBMZuRV37VFEURtXUXTJfpdIrSHeKON9XeHqcUZcmde+8yGm0zy0uyLOPs7IwgkGxubvKRlz7GN77xDZowIkBg50vCfpd758c0oQJin4sPFFYJnr7+LG+//Tb3b93x46UEgdI4aemEAZd7Y6rzBXfLCXVtSIFhoNFV7nVTjEP1Yuq6Rjt9sXvqbz3F7Hyfydl9AuUtDfPKgNTE/Q6j/pDzk1O+9corCLyXsBTCPwRXPgLdbpdlU3O+nDPJF2yHGY2ucTjaMGBJy3hnk9l8CbMTRJ4TSUVet8jYsRL/x5iKqrZIZZHKEUiHaWo0hjBU1K2lqhtUKJjNpsRRhrUC4yzCQRJ65l0baEIki8Ucg8NJwXS5ILEG3dbUdQA1RLEXxpstj7FGUFaGom2wUlBbqE1LayyT8wm97oDb3/xj2oHGWsNm7D2tnbUs89yTIc4vcfnKNv2hxZqA+WSPW2/d4fz4zDNrVvWVTrcDGJwpvca+XblcRQrb+DG1rSXsZ+AsQWNpAwgDyWiwzc7OdWjmVMB04bvyHzYUPio+MJ2xV649S3x5SNk7JB69gNMdnO6S773JqB+TRF2qusKpgDiMmE0OmB+8RSINH3/qOsbW6LagWs7RFvK85GxywqXoCjoTgKKbhQzSLleu3yTrdsFWXBoPmGenBHLOm2/dJQg+zcHREY1wzE8WOAJ6owEnR6eUdYlxLSBX+bJTHC27e7uYxnLn7l1eeP46SRohtWciFEVDa2qG4w5RmjGbzAHPg+0PI5q2IJQREhAaojhFhwFpr0tb+yYYWxSEQULbQFm11DREoSJUEWfLnNGwT6QD8qr0BhlJRlVWCPzWcDQcIqXk6OCQ3qBPFMW0xjv5aDSRjWgab6CNEGRZSn84oKhrENA6UGHK/skZQmh+4S//Za7uXPXmyM4xGA/ROsAKseL3entHoeQqH75aJ0gQUvEw4y1We6WL01pDUyMAIXxaRSiJM5ZA+6mqlMIpjY4VtixIVEgjYLn0HqFhGHiZ5U5KXhSECKSQ3o4NqOoampaqrLh/fkprWkzrm4uMMejAsz+evnqD0vhA3zQNveGYIPDBDiEo64ZFXhCGAdd2trm3u0/dlOwfe8/Yh8VdYRq2N8bcuXefOOtilznKGobjIfcP9lZ6LyE6DEmTBCUVUise7O8RxCHzfEHbGqwSZEFK4Cyb6YCT6YxCNqRGosySLEoIZIiNHaoqyYZ95os5DoFME9pW09vYpDzfR7YFSeS7lsu6Iepm9EZjqqZg/+CAZlkQKOUNZKras2WMudARatuWapHTVr6mhdSoMMJIr/nej/ucT3zHbBTC9saI8/OF/x8rvCCZUOhAEmjtxckE5PVKGdNBnASwrKlNhTCOFkMta6QIKJoKjSJWITEhLgwJnddVAoc1DpV6uYeqbHw/gdNEQlIVFTpSYBqwNc62JHFKk9foWLIoCuI48ZReoXh3ekTbNtigQLjAu0OZmqZqwDhq03JNdVDSgA3Z299jtjwDp8liSaBBCoNUgjw3uFARqAAhG7SM0ImiaXzXcKIiItHiPSq9quzW5iZJGFHiKKfnnJzt0+S+dvN+8IEJ9OHoMnnrGF27yTyv6fRD2nDB8vgMVw7oDJ5HS0drWhbLJdIs2Uhq4lDx9KUNsGfsv3vIaBiyezZj93hCEPcplgU3royZTN4l1V1ms5q9b77D8x/5KM/sjCnaJVuDm76oNXKc7t0hXy7Z2NwkGPXYP3zAop4ThRFRkNJNNtH6CtPZKXUNe3u3QTTUpkYKxclJhkBhjWNzq0tVhZRFy3jU5969XZyIkFIyGo25t7tLUczIZ75jLtASI6Ez7OOkQEcprbGknZh5fsJ0ntPJhozEDghFHTkyISmrElM7eqPRShcmZTiEpjUEQYSpCrJODykkD3YfcHh0zPbWNvP5kn63T9btM5/N6A0H2Lb1FX0hSPsbOCwoRVTXGBkQhgH37t3n1tvv0JqWa9dv4IxjWS7Juh1EoBHGp0Cccz7QC0AKeNi1eIEVGUv+yXu5kiJ2WGzjC2YR2m8BHCBA4Q1o0rSDkP5XyxUzRisFwufZwzDE1Q3WWbpJimlbOnF8EdwTmYL04mcCsQrkvkPx4Gj/wndWakXrYJyEGOeYLUviNMaUJSGG+3vHVDqkjQWiaDDA6dkJm6Mh3azHrXu7NNZQFDUvP/0cRb7gwdkeURqTIJhPpyQyACF4/vpTfOvN11m2PoiGSUKilO/ZyHOefe457t1/wMK0BN2AnSgkL0E6Q1lVGCcZZz1woGUIgWJ7a4v5rdsszo+JXIuxltIIWhXR2xgwHG2xu7cHdUGcJdTS+hy0DikWC2zTcOPZp5jN5tR1ydlsSpJk9EKfQppUS2wcMtzc4PDkhNP9Q9I4hLqgIuHuySlEHSZG8VwcUhoojMCY2tcabETTVjhrcar29MOqoqlm6FBRuhoFOOMfEIE16CwC5cjrCmEa0uGQyWKOXnXMRkHE6WxCmmV048Sr3q6aq4SzdLMeoaqRVYP1eULKfIEUlqgTUrmc3qjH5nLBWTPnYHbq1XFxNK3lLF8wF4ZRXZB1h2gdMz07oS4KXxyPQuqqZGs8xISRF2hLIr8zRRIqRRqnCMAFIdJBpEN0oHEyQOsuN59+hsFgjDGCdj7DzufEKqays4uejkfFBybQyyRGVw3LssZUOYszR9rtcO1aj7w0NJNDyjggS3tMJqeUZ28gabiyfYkwjaFKuXTzBta1DDcHRIMZZwUk1nJ0coxsLCenZwSx45nr25TlEQfHNXVRsyxqdABBKNEq4FInAxcwK3OuXrnB5PyYQSciufYsSbOk1QkuizhZTtFCUxaWauFXwmfTM6bLBRtJSBJvs1zkNG3N8WlNqOFkdp9Rf8w0F7g2JzKGc9Uia4uRAuEMUobUlaTXSwiQTPIpcdrBlAWbgz4PDg8JpWGjt4PIBHnuDTzmZ0vqquUv/tV/jd/6whdpTUNV5Fih0EpR1hWb422msykHB0eMhmMEIWHoc86eqaJBSlB+y+qc32p7Joqn+z1z4zq0NXXTMJlOyPdzkILBeEQSpyRBBkKgpIQIb6agJA6BkIaLyL5SgoSV3MRy6XVMpAApUZEC3OrnAOtW13p7P4zDVBVF0+BwBIHCWK+JopXEtgYRBmDBmZYgSWiqgijwgm5F02CxiNWWwhpP1REINje3MK1PMx297UtT720O+d6TWBFlXdzqAZGqjzA5PSPpdREq4ic/9iJvvPVtgihEJQnGOkzbknVTmjqnqg2vP7iLjTWJjKmrGtOUDPt9Bv0ueet49c7bECX04i6d8xlN4rAuQllJQoWQjomJyZKUF176GCcHBxzs7xMJg7a+j6IUmgbFjes3eff+fY7v36ejFDkgWkuAJFIabWF4/SpGwO07d2jbluFwSKxCpJMsbUOaxnT7mxzt73G8t4+yho2NLm1rOSsF+axByRBTFiRKkSYZ06KhrVuoa8LQEkQSypJxktK0XppiWuaoQCNQ5MsCq/z/XjiLCkJCC3lbEWlvPnI2z0EL4jBCG8f5dIJ2+KJmW9JLQlQSkltLKH2dJkhS6umcom1o2waMoK29TEdRVLjCsLm5Sdrr0q02mM+OAE2SZSR1hXKStixYTE5RKuL06AGhVCQqQyHQUiGNY5B0MKFlvpj7XL0BTM305Mz3XEhJFscU8yVhDGFHMBrusLF5mU6vR1M7zouSxoBrBWmaUrr2fcXXD0ygX05zLx0qa8AhgholvQZGFKeUxZS21EyLnCh2uFBw7eZVXGtwwP55zsbGgKbI6XX7hElBYGFxtKC76aiKOciaNO3S63SIEsXrr7zFxmCLYllwaaeHUA3d3oiyaPw/e++AvcU5SahQ4YjGOLIwQkq/pe0PRhyIFlROlDqcXKLDhLqY0QCLY8n5osapnLTrqBYPeOb558jnLUI+1M+2mMabHVtrMMYSxwlCKKb5gliHuCanFylcMOL8dAGuIQxCEBaBV5DsdmNm0wVg+X9+97fRw+R9jf9//1/92iqPDiAQUuJWgktuxURx1rtB/bv/xr+NcS2ylfR7fTq9rjd8mU6ZTxd0Uu8b28mylRMTKKl9fDcWoZT/XYHXhxFSUi4WREmElF43/2FQ5yIMO8+0aWrPhrHOF1TThKgWOAvWtis2T400EtOupACExElvXReEIdZanIMoCle+pD514yy0jW8tn04mfJ9eke8Na6jmk4u39179+necfuef/tbFax2v/j/OMti5xng4ZHJyQp3PiEabCOEQ+PqAwIGA+TIn0hGyapHtErIQZQyBNgghyHpjptMpQRhyvpjz1W/+ESGCLNBIowiUpKha4rRDb3OL/Xt72KohDKGslygReD63kBhg0O8xnUxojaEsSsIoZDqd+nvQAToJ6PWGTOcLkjiizmfQliTZgLN5QRt0ka6iaVu/aJCCJE2JliV2OUOGCmsNrfHGNKnUzFuvAiqURApH23hDb6WgrUu0iol1SF2UEAdUTUvbmpX6oyDQCmqLs5ZumpHoAOMqlNR+MVFWRKGmalpEAEoIJCCFQmswsgajWOmtMC9zWmvIiwKEQAcxDk2gFd0gQ2vFop4S2h5lXuOEJOx2CZxFK4txFbPFjCgIcXWNW5ES8tYSI6iaEicFTVMTJSmF0gzLltFom+FggzAKOV4cY5qCKBKEHcWsdbj6/WndiPcrjvPDwM6lTffLf+Nff9y3scYaa6zxY4X//G//3a875z79g677QAR6IcQcePNx38ePATaAk8d9Ez8GWI/To2E9To+GD/I43XDObf6giz4oqZs3H+Wp9GGHEOJr63H6wViP06NhPU6PhidhnN6fYMIaa6yxxho/dlgH+jXWWGONJxwflED/64/7Bn5MsB6nR8N6nB4N63F6NPzYj9MHohi7xhprrLHGDw8flBX9GmusscYaPyQ89kAvhPhXhBBvCiHeWXnPfighhLgmhPhdIcTrQohvCyH+1ur4SAjxfwsh3l59H66OCyHEf7sat1eEEJ98vH/BjxZCCCWE+CMhxBdX758SQnxlNU7/hxAiXB2PVu/fWZ2/+Tjv+0eJlY3nPxBCvLGaV59fz6c/DSHEf7j6zL0qhPjfhRDxkzafHmugF0Io4L/DG4q/CPw1IcSLj/OeHiMemrC/AHwO+JursfiP8SbszwG/vXoP32nC/it4E/YPE/4W8Pp73v+XwN9ZjdM58Mur478MnDvnngX+zuq6Dwv+G+C3nHPPA5/Aj9d6Pr0HQogrwL8PfNo59xKggF/iSZtPD00gHscX8Hngn7zn/a8Cv/o47+mD8oU3cvkL+EayndWxHXzPAcDfBf7ae66/uO5J/8K7lv028C8DX8TLpp0AenX+Yl4B/wT4/Oq1Xl0nHvff8CMYox5w57v/1vV8+lPj9NDjerSaH18EfuFJm0+PO3XzZxmJf6jx/UzYgR9kwv5hwK8B/xErWXtgDEycu1B6eu9YXIzT6vx0df2TjqeBY+B/XqW4/kchRMZ6Pn0HnHO7wN/Gmyft4+fH13nC5tPjDvSPZCT+YcJ3m7B/v0u/x7EnfuyEEH8ROHLOvVcx7PuNxYdynPCrzU8C/4Nz7ieBJX+Spvle+FCO06pG8YvAU8BlIMOnsb4bP9bz6XEH+kcyEv+w4PuZsK/Ov28T9icQPw38JSHEXeA38OmbXwMGQoiHkh7vHYuLcVqd7wNnP8obfkx4ADxwzn1l9f4f4AP/ej59J/48cMc5d+yca4AvAP8CT9h8etyB/qvAc6sKd4gvgvzjx3xPjwWPYMIOf9qE/d9csSU+xyOasP+4wzn3q865q865m/j58jvOub8O/C7wV1aXffc4LICj+QAAAQJJREFUPRy/v7K6/gO/Avv/C+fcAfCuEOKjq0N/DniN9Xz6btwHPieESFefwYfj9GTNp8ddJMAbib8F3AL+08d9P49xHH4GvwV8Bfjm6utfxef/fht4e/V9tLpe4BlLt4Bv4VkDj/3v+BGP2c8DX1y9fhr4Z3hT+v8TiFbH49X7d1bnn37c9/0jHJ+fAL62mlP/FzBcz6fvOU7/GfAG8CrwvwLRkzaf1p2xa6yxxhpPOB536maNNdZYY40fMtaBfo011ljjCcc60K+xxhprPOFYB/o11lhjjScc60C/xhprrPGEYx3o11hjjTWecKwD/RprrLHGE451oF9jjTXWeMLx/wHltdzIHOID3gAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def imshow(inp, title=None):\n",
    "    \"\"\"Imshow for Tensor.\"\"\"\n",
    "    inp = inp.numpy().transpose((1, 2, 0))\n",
    "    mean = np.array([0.485, 0.456, 0.406])\n",
    "    std = np.array([0.229, 0.224, 0.225])\n",
    "    inp = std * inp + mean\n",
    "    inp = np.clip(inp, 0, 1)\n",
    "    plt.imshow(inp)\n",
    "    if title is not None:\n",
    "        plt.title(title)\n",
    "    plt.pause(0.001)  # pause a bit so that plots are updated\n",
    "\n",
    "\n",
    "# Get a batch of training data\n",
    "inputs, classes = next(iter(dataloaders['train']))\n",
    "\n",
    "# Make a grid from batch\n",
    "sample_train_images = torchvision.utils.make_grid(inputs)\n",
    "\n",
    "imshow(sample_train_images, title=classes)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def train_model(model, criterion, optimizer, scheduler, num_epochs=2, checkpoint = None):\n",
    "    since = time.time()\n",
    "\n",
    "    if checkpoint is None:\n",
    "        best_model_wts = copy.deepcopy(model.state_dict())\n",
    "        best_loss = math.inf\n",
    "        best_acc = 0.\n",
    "    else:\n",
    "        print(f'Val loss: {checkpoint[\"best_val_loss\"]}, Val accuracy: {checkpoint[\"best_val_accuracy\"]}')\n",
    "        model.load_state_dict(checkpoint['model_state_dict'])\n",
    "        best_model_wts = copy.deepcopy(model.state_dict())\n",
    "        optimizer.load_state_dict(checkpoint['optimizer_state_dict'])\n",
    "        scheduler.load_state_dict(checkpoint['scheduler_state_dict'])\n",
    "        best_loss = checkpoint['best_val_loss']\n",
    "        best_acc = checkpoint['best_val_accuracy']\n",
    "\n",
    "    for epoch in range(num_epochs):\n",
    "        print('Epoch {}/{}'.format(epoch, num_epochs - 1))\n",
    "        print('-' * 10)\n",
    "\n",
    "        # Each epoch has a training and validation phase\n",
    "        for phase in ['train', 'val']:\n",
    "            if phase == 'train':\n",
    "                scheduler.step()\n",
    "                model.train()  # Set model to training mode\n",
    "            else:\n",
    "                model.eval()   # Set model to evaluate mode\n",
    "\n",
    "            running_loss = 0.0\n",
    "            running_corrects = 0\n",
    "\n",
    "            # Iterate over data.\n",
    "            for i, (inputs, labels) in enumerate(dataloaders[phase]):\n",
    "                inputs = inputs.to(device)\n",
    "                labels = labels.to(device)\n",
    "\n",
    "                # zero the parameter gradients\n",
    "                optimizer.zero_grad()\n",
    "                \n",
    "                if i % 200 == 199:\n",
    "                    print('[%d, %d] loss: %.3f' % \n",
    "                          (epoch + 1, i, running_loss / (i * inputs.size(0))))\n",
    "\n",
    "                # forward\n",
    "                # track history if only in train\n",
    "                with torch.set_grad_enabled(phase == 'train'):\n",
    "                    outputs = model(inputs)\n",
    "                    _, preds = torch.max(outputs, 1)\n",
    "                    loss = criterion(outputs, labels)\n",
    "\n",
    "                    # backward + optimize only if in training phase\n",
    "                    if phase == 'train':\n",
    "                        loss.backward()\n",
    "                        optimizer.step()\n",
    "\n",
    "                # statistics\n",
    "                running_loss += loss.item() * inputs.size(0)\n",
    "                running_corrects += torch.sum(preds == labels.data)\n",
    "\n",
    "            epoch_loss = running_loss / dataset_sizes[phase]\n",
    "            epoch_acc = running_corrects.double() / dataset_sizes[phase]\n",
    "\n",
    "            print('{} Loss: {:.4f} Acc: {:.4f}'.format(\n",
    "                phase, epoch_loss, epoch_acc))\n",
    "\n",
    "            # deep copy the model\n",
    "            if phase == 'val' and epoch_loss < best_loss:\n",
    "                print(f'New best model found!')\n",
    "                print(f'New record loss: {epoch_loss}, previous record loss: {best_loss}')\n",
    "                best_loss = epoch_loss\n",
    "                best_acc = epoch_acc\n",
    "                best_model_wts = copy.deepcopy(model.state_dict())\n",
    "\n",
    "        print()\n",
    "\n",
    "    time_elapsed = time.time() - since\n",
    "    print('Training complete in {:.0f}m {:.0f}s'.format(\n",
    "        time_elapsed // 60, time_elapsed % 60))\n",
    "    print('Best val Acc: {:.4f} Best val loss: {:.4f}'.format(best_acc, best_loss))\n",
    "\n",
    "    # load best model weights\n",
    "    model.load_state_dict(best_model_wts)\n",
    "    return model, best_loss, best_acc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_conv = torchvision.models.resnet50(pretrained=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "for param in model_conv.parameters():\n",
    "    param.requires_grad = False\n",
    "\n",
    "# Parameters of newly constructed modules have requires_grad=True by default\n",
    "num_ftrs = model_conv.fc.in_features\n",
    "model_conv.fc = nn.Linear(num_ftrs, 2)\n",
    "\n",
    "model_conv = model_conv.to(device)\n",
    "\n",
    "criterion = nn.CrossEntropyLoss()\n",
    "\n",
    "# Observe that only parameters of final layer are being optimized\n",
    "optimizer_conv = optim.SGD(model_conv.fc.parameters(), lr=0.001, momentum=0.9)\n",
    "\n",
    "# Decay LR by a factor of 0.1 every 7 epochs\n",
    "exp_lr_scheduler = lr_scheduler.StepLR(optimizer_conv, step_size=7, gamma=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint loaded\n",
      "Val loss: 0.036122415254128654, Val accuracy: 1.0\n",
      "Epoch 0/2\n",
      "----------\n",
      "[1, 199] loss: 0.207\n",
      "train Loss: 0.2218 Acc: 0.9063\n",
      "val Loss: 0.0452 Acc: 0.9859\n",
      "\n",
      "Epoch 1/2\n",
      "----------\n",
      "[2, 199] loss: 0.217\n",
      "train Loss: 0.2185 Acc: 0.9147\n",
      "val Loss: 0.0334 Acc: 1.0000\n",
      "New best model found!\n",
      "New record loss: 0.03336585155675109, previous record loss: 0.036122415254128654\n",
      "\n",
      "Epoch 2/2\n",
      "----------\n",
      "[3, 199] loss: 0.206\n",
      "train Loss: 0.1978 Acc: 0.9221\n",
      "val Loss: 0.0468 Acc: 0.9859\n",
      "\n",
      "Training complete in 9m 41s\n",
      "Best val Acc: 1.0000 Best val loss: 0.0334\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    checkpoint = torch.load(CHECK_POINT_PATH)\n",
    "    print(\"checkpoint loaded\")\n",
    "except:\n",
    "    checkpoint = None\n",
    "    print(\"checkpoint not found\")\n",
    "model_conv, best_val_loss, best_val_acc = train_model(model_conv,\n",
    "                                                      criterion,\n",
    "                                                      optimizer_conv,\n",
    "                                                      exp_lr_scheduler,\n",
    "                                                      num_epochs = 3,\n",
    "                                                      checkpoint = checkpoint)\n",
    "torch.save({'model_state_dict': model_conv.state_dict(),\n",
    "            'optimizer_state_dict': optimizer_conv.state_dict(),\n",
    "            'best_val_loss': best_val_loss,\n",
    "            'best_val_accuracy': best_val_acc,\n",
    "            'scheduler_state_dict' : exp_lr_scheduler.state_dict(),\n",
    "            }, CHECK_POINT_PATH)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def visualize_model(model, num_images=6):\n",
    "    was_training = model.training\n",
    "    model.eval()\n",
    "    images_so_far = 0\n",
    "    fig = plt.figure()\n",
    "\n",
    "    with torch.no_grad():\n",
    "        for i, (inputs, labels) in enumerate(dataloaders['val']):\n",
    "            inputs = inputs.to(device)\n",
    "            labels = labels.to(device)\n",
    "\n",
    "            outputs = model(inputs)\n",
    "            _, preds = torch.max(outputs, 1)\n",
    "\n",
    "            for j in range(inputs.size()[0]):\n",
    "                images_so_far += 1\n",
    "                ax = plt.subplot(num_images//2, 2, images_so_far)\n",
    "                ax.axis('off')\n",
    "                ax.set_title('predicted: {}'.format(class_names[preds[j]]))\n",
    "                imshow(inputs.cpu().data[j])\n",
    "\n",
    "                if images_so_far == num_images:\n",
    "                    model.train(mode=was_training)\n",
    "                    return\n",
    "        model.train(mode=was_training)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ldRZVOz76md/iXe/4UZaX7qJrwZQNP/uLP0XjHuPE8FWsrp7ixtY6zls2NjYYDoeM2wYX1tFaU1UVISRWl5eJiwuUVQV2HTsNqLTMaHiGbtrRdR3OtVAUdNYyGFSAR1SJ0ZogEaynNGX2aJkyhwxDQplZbBe64DC22ff5PBCgQnYY+NBmh723ECOt67LiERzBWlJMvXvQgmTuXV9fY+nYvVgn4Ka8/7d/jTe+8U9x4dwD/Pov/RyihWNLb+fEyUUqM8SuPYP3HZIKxuMxNuU47UxZ895TD2qmk46u8xxfOUNx8l5WF47jukAka7ohzPzJEe89orKfua6GiO4zMowheaEoB6SUdYeid2OGECiLEvUyOPQPBKjOeWLqgOxyk5TFcLAd3jl86mhdRzt1GKWJsaJzDpt2UVoYVTUPPvgu1Kjj4Y98kK8+9Qif/Oz/S9tNuefe7+TM2Vdx4ZUPMlm7ylNrX2RjZ8L6xtOklJhMN9neuUapFzh+4jiveuDbca5j+/o2gzJx4cxbKMwyXddSlEJR9CaYRERp6nJAspYrN9apBzVlVbI4WkFXQ4xWSAmiNMHZ7MAXg9EFrUSc73KMdZ/pQIAaQkAUKBUJITsKbGfJJTQB23QooDA5XGbjLlEpqmTwheL8/Q/xl/7a/8SnPvkprnztEjfHUySV2Z9MhZYhW2tXePyLH+bCqbfw5S/9IY8//Xm2dp7JkR8sJI1Smo99/CSLg7t44P77OLF4N95pvNtGkqdtYXF5iaoqISa0HqCNYefmDrvbN9ERdjfXqXXBcDDCB4/vHG23mx0rxtCGDhfaedTI+EOazhJCQFIgxN4vS6TpphQqYl2H7utolYrEFPnIx3+TKPCnf/QHuPi5zxJ2tilXFW9921v4xb/zV/rYZ6AwC6weG7C1dZWN6xPszph/+9SvEsJNYlrIAXbV5Bgo2fk+bW8waddY+/znKVOJHnS8/nXfjRENJHzw6CjowRCkwNqOsqo4c+IkIQQmN7dw05bh4jGKokTFbHerGBEimzefRSQwHI4Yb29TqP03QA4EqCiHSQrvExKE4AMShKltCTFSimQnu04437F+4wpGlRxbGaHffD8nw/egAzBK0DY0RCR4TKn4zMO/z9mTp7CdYzy52ofXBijlQEAo+ovIgYOgLCKCJEWXOj7wb36Zz37hC/zQu/48g1KIvqAe1AyTJsWAMQNCERjWSxRF0afdJIL3FKbA+UBMlp3dbSKOuDtBKcvC8WOMJ2OeW5G6D9O5/0P+8Ulpne3GmUnTKx8mCSZmLjW9b7ZppoiCED2f/sNPc/mRbd70fW9BMeBD/+q9LJ8+zX/8Ez/K/a95LS61xDThxsYlmnaTtk0YXVGowW3nT0REZdfkLAMl9oGEEMdcvvKHvPe3fgld1pgip4+GkCNHKnqCbUnJY23DZGeNrtnEuh12dq8z2b3B+OZ1pjs3mOyskQoYLK0wOnYPC8fO4vUhdeg757DW4rzL65D32RkRYp/qm3rTxtE0LcSKheEpLj/WslicI4hnZ8fxmx/4IG/5nrfy4Yd/i9PnLmDUKoUZkmKJdROs38T6XdDt81yDJ8RA6p3yMeSQmNEDYrJcufFVfumf/u25p6vrOrq2ZTregeAYT3bYHd9kvLNFM91lMr1J0+5i2zExNCjl0UTKQUE5XECViyydPE2UQxp6k6gxg4IwdYR2jJbMkUbrLC5DzhhQMbHbbHP8rvP85H//v7F6bEg7ucnqcBEKjZ82fOlzX+S/+c/+S/7B33s33u/iQ4fzU8qywgZQYlGiidGjlCYm1+cT9ddCwvucEZGCuhVvDR1r20/wT973s/z4n/2vmLQ7DIuSloTRBqJCJNC5FlGAyaaLFk8IWVsuBzVFUTIoFih0YFAuUi8s7/t8HghOLYoic6ZWYDIn5KiMm7sNU0p03lIMl1lcuIvRoiGYkl/+h3+Hf/t7H6bylr/wE/8t17Yafuan/y7N1i7SB6CV0jRNg/RRmxBDHySPxD67EHL+k/Mup5ruoXnMU3U89uRn+PUP/iMgMJns0EWPjQGRiPVTjBGczdEb0y/XWmsGS8uoskZLQS4Kz3nARXn7UrAfdCBA9SHbqEQIXcS5gEh+0tu2zQliRIq65uSp0/zgj/wwPiTEJ66Pr/PFT30c11re8Y5/n7/9i7/CifveCHpIUgMgYfQQ8KQQgJxmMguaA8QY5sDO0kNDn32Y90W8t3hnic7yxScf5uZ4BxFhOBqhS0NDg+0cO7s3sUTq0QAxmmpphF4YIGaAKkZQ1ChjUEkQo6hHS/s+nwcCVGDOnTPPzuz3rKYlpYQuNGfPn2NlZRnfdWxvbnLPudfwA3/hL6KPLaG1cObMaR64/3WU1YiYxihlMLom7OG+GViz73u37d2Xt8c+BJhzdn2whGh5/wd/hXI07IP3ka5N3Jy2aKWJKUeclM5lHCnm4H9d17nUA4CcfWiqet/n8sCACrkGZS+gMMv+Uyit6GJg+cQxTAIdEu30Cm/7rrdiUofbDUx2HV0Db3v793Py9L2sLpxGKClMPVdr99bj5qjQ819LWZbZtNmT2J2D4Jaum3Bt/BT/+L3vxjtPZzumzRYf+v334b3PCeneM51M2N3dnZ9TRKirHD+NsR9QF89/Ad8EHQhQjTF45zFR6LxHSTlP8BYFXZGoTcHxkyfRIgQXEdGMilOcvvBKprZh+8pVYjD4LnL3Aw/w2u/8LmwxQpTBdh1EA+SkauTWR9Te72n+vbNTQswhszR/IPoLloDrLM+sXWRiN9FS8Qu/9m4uX/8aG+NNKjXANg2+7SA6ko99pqoi9dVwCYtScZ6Mvq/zue8jfgPkfTYnmskkZw9YP99ujEGHXLa4evoEFAZBCAp0bTB6yNLiMZIu2N6+gWiNc5aCAcPiOGa5Y3PzEuBB90VYL0B7yyRmv2/1q4pzrgVIOGIy/L2f/2vcd+6V7E6fpijgQx/9V/yH3/cjrCwvszBaoKwrks6O/6JQFEU9z44E5mUa+0kHglOdyxxRllkUhRB7t2B+qsUH0ApdFqjCIIVBjCYpiBg6By56tAaC5Tc+8D4kdSyMNJNJS6mXQAW+XvuhPw7F5InJE/A88cxXMVoTg+b6+AqXLj86F8OqLDB1Pa/eI+Usj1y3+vJM/4EANbiO4Dp89Pm76ohaSNA7IToWV1YzqAgaTalLBsWIstLE1CAkXPS0TeA7Xv8Q61vXOHZ6lcXFAS55imIBwgsLphTT/DMjY8weUR3z356UaEQCKTlc7IjJYQoIrePSla9R6VyJV5ohwXl8b2vPFEHpa1Or4pDmKOWQlMyrq5PLNSYGCKWiFThz7Jbqn2tCBUEQpRktLIIZkhS0qmV96yof/4PfIboGRaQoNdPpc6MhuSA55UpwJaSY5lXhMQSc87yItM5r48wWnovmgFIRpXKectM0faJ6LnSepdEMR4u5pudlyNA/EJyaEFyXA+LBe0QLSqDUCirN+VffjxiduVTtSb7WiqIqsT5S1BWmHmK95YknLjHUsDgaceH8eba3N/rC3ztu9w7VV5TkYPbMft273iV5zrEAgibEmf2bHRs7412cbYEIEinLkqocoJWhrgcMBiNi8L35tP9uwgMBagggfUK3QlBACoEd13DXveep64oYPJISCdBaEYIjpJSjZwqEiBahrmuatiWFKYLiycu5+WfbNiizR9F5nrlMMd22Q6k7jk96bubMP0rPyxVBEAXWdxRVkTMQlaYsKgozoCjrvhIv9HnF9kUlwTdKBwJUbfS8ki1n6ydcqTn3ulchZc40nLkKY4r40JHwPZhCVZbznN2qLHnr297Kffd/Fw7BhzELo0Xglo06E7twi+Oej/bum2nNt8aIfQWBRqlZ0bPK5lg0JFMxWFphODjOaHgi1/mEgA8dTTfpC7sOsfYrIWGUplZCuVBAYTj32gegKvEhsOtbuuBoooMYCMmitUJ0AUrjUWhVQIj44HFBszkZszxcgmgJocscIbecvLPs/7nf9zaP0631d1Y4PCOlNEVhUKpARBGi7avQQSipixH3X3iIcjCiqheoh4sEEsELKeZkszJGJEVCdDh/SNsDKEkoDVImaD3nXvUAUplsu7Ytu7tjNjc22Xj6SjZ/0qzXct/sQ6u+LFFTliX33v1KhsMVmmkOsU0m4/5Mz1WWjPn6xv9eZSb1Jklm3Fw/k7k2c+ygHPHAva+irhdYGC0jAt5aYnSk5FB48B3tzhbiO4iHFFRUJEZH4yYs3ncPsjjApRyznEym+NYSOsvu5nZ2xPtEikLsO6uE4PEh4pzHOU9rG9Y3n2Fr+5kcAN+zcIU+0ytn5wve+ducCnMunYvbuGcN5bbjZkpOijOnhqKsalaWT7CychytCpSPGIQQcgYk0dNNJ4TplNhM0emw5iht77DVbXLh1Q9QnjhNkzq6mx1t24J17G6N2X76GisLFRtrpxguLrJ6ehUVwHUB8Nn0aT2b157id/7Nv8aPNzBK432BKJ8LgNPtyk8WyXJL271N7O7tCzH7Lage4Dsp4VGSm3ycO3sXgzqbYB4LKhfFTbopZReY1oYiBaxt8S+DonQgQN3qtjj9+lexsHQWJ9k92Iw7XNey/ZUnCClwemGBFBS/+RvvpapO8R/9uR9maWkZURVRNJObN3jm6Sd4/3v+EZOdTSbt9nMKemd9Hma0V2HaC+he0lrPOXIvmLlbWjZJBChMhSiTG5GYGvraWIi9PesxKqftpEJIwwGhaUlNt69zCQcE1Pve/laGwxOYcsBk/Vl2r24yvXyDVQO+qEk64HHEacOjX/ldUqpZv/Es973idVy475Vs31zna498ivFkg+s3niDh6boxVbHYgzULlr+4nTqj7PFRvfkiaC2o/n0J81ymnoNnRcxaV3gnGF0xGi1DSmitc50NtwLwebuBaQBVkBb3n1UPBKiVWaAaVdgm0d28wealS6wsVjS7Y5IxSKHYXX+ay1cvElOBp+XZK3/ElWtfZviZ44godBmwtkGIOGcJPtClXWKypD6COfMa3Ul7uVTdGTVJOVi/V/u4JZIVIpoYIQYh0XL/fQ8iVQ7Ex+gRBc66bH51jjYF6lQQCsEgKPY/9HYgQDWDmtC07GxfZ+OxS5w9cQo3vcn2tGXabjC5ucnv/NGH6FyDLgZoKSnKwLS9jgmBQg9pdxoSga6b4GMLknIiWZo1w7p1vluZg+l2QFVWhvaaMPO4bsyuTBXV/P9DCBijKYzB2gllOeD48gpmj/dpFg/uuia3OjCKSddiTElZFrc18tq3+dz3Eb8B8imwu3aDz33y93j13ffipp7dnTFtu8WTT3+Bzz7xCI1vc/1MM6Eqaprg5ykv3jUYndid7BBSRIkiJEfi9vUzWyG3fLx30i3R+uIhuhnFGAjeEWPu+GJUwekTJym0mY8DWUfIzUL6dlBKSEoIJExRftPzdycdCFCvfv6LbF16lAfPPsD05oRuvMtjT3yaJ649wRNrF/t2OImUNMpINlPIXJU6WF4+z73nX8HlK1/hxubj+NAgusD2NmDWXE0fznsud84iJ7dRyuX+t3of3hLhQF+spfvviiSaxcEyRVkTUnbc53MLRVGQUqCzubmIQrDW5nOHQ7qmbl56jBOrx3GNZXPzGa5cvcTHv/hRxneU+Rmtc0s6EkZAqwVeef47eMODbyIGxfHFVbZ2zvHs2hNsT29y4+ZVgtzqJwEzu/O51xBjRJFt1/wQ3K5HzcybFFNed1VujYdkx4cxJVU1zEGJEKgrQ9M0aJPzq6y1cxtZZE9zknRIyy6qxWVC6vjqo5/h45//MGu71/r2qjkEp1L2FkVVUWtweFaG9/Ddr/l+zt11noWFBbquY3HxbpYXFjhz8n6a0PC1J7/GV578BCl2SDC4FCEZYgRt+hLCHmG9x7OUw4AepYTgmYfRbvl4c4PJee9BEWopObl8mhAjxoBNAV2XqJCwviW4BgVEpfExN7q01vZ9LvaXDgSoJ8qSK67jatzm+uQKUOT2qsWAEBxJdWg9oKJgubqLb3vgTTz4iu9kONT42KF1YjSqsc5SFKtMpgWLxV0U9QmC91y9/lXG3Q6SPCoKSjwJea6mewfFmFAqN2HWe46dpZbeaglUYArDsK7/7YzfAAAHvElEQVRZWBj1VXxh3pjEmIJWAK1Is9hxjFRVNRfT+0kHAtQbZso9D72eS5NrVKHGFyWV1sQASlecW/k23vDt38fiaEitNJVKDBdDnxgWcSFQmoLBoCJGTcSxtHqC0eIqQ3kHKb6di5c+w9rmZTYnYybtOhPf3GZr3p4WuicPmHCb0pS4FRCPIeRYarJQjCirqm+8FRkUM1NF6LqWpPvUnHgrovNCDo9vlg4EqBde9waUUvyZd/4nfPS3/zkmRcSVHFtd5E+94V0sLR7PBn60uVFjOUAJmCJ3U0khEI2G5FEIw2oR7zpGtaE6dYbOWkbDt7G+/iAb249z6clHeGZ3DZs6DFVuqiyKoCoMIM5iJfRra7ptDc7NKiElwRRl7rUUGkblKYblIil2xBRy5zMRXGhRKhGmNje15FZC3Sy9Zb/pQICqtcYYQ1WP+Ps//2FCu8tjf/Apms5S69y6vDSGGAoalVvFzhK/Z2kwIUZ8jJQqx19NUWCd68VgYjAYcP78BU6eOsXi6C4WnvoqjZ/yzNpF6lLjVcvysft56IHXc/Hy57j89ONZjOpb2lIOsd1yRMxsUK0G6GoFnRTttKWo3NwbFWOkbbt53/5ZF5rsbfIvyXT649KBAFUkr29OdcRr22xcukKtA2oUGMoQHzrarqUwJQuj3P9o9rGzTMSiyO3ak8x7MimtSN5ijFCVA9quoywK7r33lawsnmD95g2U5PLE7WaTB1/zvZxIivruN3Pl2lOkZBF5/iD2zCcco0OrCl0tUOjsTNhbbRB6GzZGP++8NivVnCV97zcdCFA7QJxGWcvao4+DSUhpWEhFBgfN4nAR1Wuos4lIKVJXBbEwpBj715BkG5CWnA2fMifrMgNfGIMPgZOnz7By7CTHV0/m7qKAdY7x2mV8u8ZD51/D1ck11tfWgAA6p8wAEA0uWZSULC2d564LDzKKmnKg0DFQABL8vLHzLLrj+7Z2xuR0nBgDL0eW6IEA1UxhOlnn6qOPc2xQ0nUeSNgQGQwGvZlg8muIewe6Uoq2bTDG9E0bs7hr2pa6qnC+b0uX8qRqr+b7i6Ig5dWN4XBI13UYH0h+QmM3sHab8/fcx5mlh7j45ce4dPmR3H8/RQpds3L6LF035eyZu/meP/MjLAyW+confp+qqui6ltifc7Y8tK3FFILWml6woJSimTa3mVL7Np/7PuI3QE997mGGdcnCqMRrwdjcdCrFCGkWKdHEXqzNOqSNRqNe0cgTaExBNcwdXcpY5gS0JPO26s47QDD0bdBTwDtHtA0+jFnffoqls3ehV17Hq1//WhRD3vS2H6Rppjz8iY+xdm2dU6fP833v/H5OnThLyH4tWtsx/vKXGAwHKKNzryTn+s7hCR8sWg8IyeFdhzIlznoKU+IPq+9XBFrrUCZSSQkhv/BnBp5Ruu/bW/ROdIMS1XuJblXK+eipqpqyKAnO9Vwccldt73P1t7VopXpRreZl/a1rOX7f/Zy5/xUMVk6xtHgMYyoKM2Q8Xef1b/x2trfGnDy5ytLyEsVwhIkR3zpkd5eFeoAuC4ajhblDAmZ9FmH24GmV32SlVIFv2xcM/30zdCBAnTnQTQBxuanUTMzOVP7Z75myMZs059y8b77q9/sYqMoquwdJcy1zYWGBeo/GmQ3/DiNDVs9e4Ox996KHIxZHJ6irGmunPHHxC1SV5tRdZzlzrmI4XMLUIwqvSRPHFz72Mdz2M6wcP4GqSup6EZXfkD1vPG2tRSjnkR5rLUVRU5Rl30t/f+lAgKpjzvOVUj+vyRB791wXcscT3aeS7u1SZoyBEHLKaP86MVMYui6bEzZGRNUUuldcDOiy4ub2NUQ5Tp053ievCaUp2bhxHds8y8qJRUy9wIIUpHqVslpGtZ6NzTV2Lj2GG69RjxaQEnRZEHUuyXTkbuJFOaBsx5AagrOUdU1sO9SgJEjEMX6RmfnG6GCAqvIL7WL/4oNb6ZuJqqpuC4VZZ1Epv/stpdRHQPbUnJLQSuN8bg5itEFphRHFYDDA2ja7/PrmySdOn+f6tUCSmpgKhlGzfe0KtttieO6VFKFFVwsMqlV0MEy3trDXtog7N2mbMVVVUdd1fkuHGMpigDbV3LEwu7au6/ruM2nOwSmBehl8vwcim3CW0Dzr2XfLt6qYTqdzu27mWiv7HhGQuXm21s5Mh9lDMH/xOoIpZqG3zNmzfvr1cIW7ztyDvdHQrk1Ye+QiH3nP+6gHNYUYimIRpQeYIKx96UvYG+vEItKmjpAcw8EgvxxJGbSuSElBvNVZXClFiLkXcIhh/qas0P8Vvf8QHAhQoxZUSnjncKTeDMjdz2beI4DkPDqBsz6/gK9/yvMrQ3xugZdyp05dVeiqgkJDYVBFicfjosWoXNGWOo+d7hI81EEox1Om4ymLizVt69l49ilsDKjW89gffpKBURTFAN9YWrtDbTSqMCQliA6YsudAPPiIiuA6S3IhvybF2/kDm0KHipFSD/d9Po9eX30I6UBw6hHtLx2BegjpCNRDSEegHkI6AvUQ0hGoh5COQD2EdATqIaQjUA8hHYF6COkI1ENIR6AeQjoC9RDSEaiHkI5APYR0BOohpCNQDyEdgXoI6QjUQ0hHoB5COgL1ENIRqIeQjkA9hPT/Az/O/rHgWgmqAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_model(model_conv)\n",
    "\n",
    "plt.ioff()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "for param in model_conv.parameters():\n",
    "    param.requires_grad = True\n",
    "\n",
    "model_conv = model_conv.to(device)\n",
    "\n",
    "# Observe that all parameters are being optimized\n",
    "optimizer_ft = optim.SGD(model_conv.parameters(), lr=0.001, momentum=0.9)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "try:\n",
    "    checkpoint = torch.load(CHECK_POINT_PATH)\n",
    "    print(\"checkpoint loaded\")\n",
    "except:\n",
    "    checkpoint = None\n",
    "    print(\"checkpoint not found\")\n",
    "model_conv, best_val_loss, best_val_acc = train_model(model_conv,\n",
    "                                                      criterion,\n",
    "                                                      optimizer_conv,\n",
    "                                                      exp_lr_scheduler,\n",
    "                                                      num_epochs = 3,\n",
    "                                                      checkpoint = checkpoint)\n",
    "torch.save({'model_state_dict': model_conv.state_dict(),\n",
    "            'optimizer_state_dict': optimizer_conv.state_dict(),\n",
    "            'best_val_loss': best_val_loss,\n",
    "            'best_val_accuracy': best_val_acc,\n",
    "            'scheduler_state_dict' : exp_lr_scheduler.state_dict(),\n",
    "            }, CHECK_POINT_PATH)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "visualize_model(model_conv)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def apply_test_transforms(inp):\n",
    "    out = transforms.functional.resize(inp, [224,224])\n",
    "    out = transforms.functional.to_tensor(out)\n",
    "    out = transforms.functional.normalize(out, [0.485, 0.456, 0.406], [0.229, 0.224, 0.225])\n",
    "    return out"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x124b9c0f0>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from PIL import Image\n",
    "\n",
    "test_data_dir = f'{data_dir}/test'\n",
    "test_data_files = os.listdir(test_data_dir)\n",
    "im = Image.open(f'{test_data_dir}/{test_data_files[0]}')\n",
    "plt.imshow(im)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([3, 224, 224])\n",
      "torch.Size([1, 3, 224, 224])\n"
     ]
    }
   ],
   "source": [
    "im_as_tensor = apply_test_transforms(im)\n",
    "print(im_as_tensor.size())\n",
    "minibatch = torch.stack([im_as_tensor])\n",
    "print(minibatch.size())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[ 2.0083, -1.8386]], grad_fn=<ThAddmmBackward>)"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_conv(minibatch)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[0.9791, 0.0209]], grad_fn=<SoftmaxBackward>)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "softMax = nn.Softmax(dim = 1)\n",
    "preds = softMax(model_conv(minibatch))\n",
    "preds"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "def predict_dog_prob_of_single_instance(model, tensor):\n",
    "    batch = torch.stack([tensor])\n",
    "    softMax = nn.Softmax(dim = 1)\n",
    "    preds = softMax(model(batch))\n",
    "    return preds[0,1].item()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "def test_data_from_fname(fname):\n",
    "    im = Image.open(f'{test_data_dir}/{fname}')\n",
    "    return apply_test_transforms(im)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Extracting id from cat34432.jpg\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "34432"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import re\n",
    "\n",
    "def extract_file_id(fname):\n",
    "    print(\"Extracting id from \" + fname)\n",
    "    return int(re.search('\\d+', fname).group())\n",
    "\n",
    "extract_file_id(\"cat34432.jpg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Extracting id from 9733.jpg\n",
      "Extracting id from 63.jpg\n",
      "Extracting id from 6400.jpg\n",
      "Extracting id from 823.jpg\n",
      "Extracting id from 4217.jpg\n",
      "Extracting id from 3578.jpg\n",
      "Extracting id from 10321.jpg\n",
      "Extracting id from 2666.jpg\n",
      "Extracting id from 5109.jpg\n",
      "Extracting id from 11981.jpg\n",
      "Extracting id from 10447.jpg\n",
      "Extracting id from 2100.jpg\n",
      "Extracting id from 11759.jpg\n",
      "Extracting id from 4571.jpg\n",
      "Extracting id from 7078.jpg\n",
      "Extracting id from 12250.jpg\n",
      "Extracting id from 1409.jpg\n",
      "Extracting id from 9055.jpg\n",
      "Extracting id from 6366.jpg\n",
      "Extracting id from 12244.jpg\n",
      "Extracting id from 189.jpg\n",
      "Extracting id from 9041.jpg\n",
      "Extracting id from 6372.jpg\n",
      "Extracting id from 11995.jpg\n",
      "Extracting id from 10453.jpg\n",
      "Extracting id from 2114.jpg\n",
      "Extracting id from 4565.jpg\n",
      "Extracting id from 4203.jpg\n",
      "Extracting id from 10335.jpg\n",
      "Extracting id from 2672.jpg\n",
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      "Extracting id from 7707.jpg\n",
      "Extracting id from 6419.jpg\n",
      "Extracting id from 1376.jpg\n"
     ]
    }
   ],
   "source": [
    "model_conv.eval()\n",
    "id_to_dog_prob = {extract_file_id(fname): \n",
    "                  predict_dog_prob_of_single_instance(model_conv,\n",
    "                                                      test_data_from_fname(fname))\n",
    "                  for fname in test_data_files}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "9733    0.020900\n",
       "63      0.000267\n",
       "6400    0.996489\n",
       "823     0.999567\n",
       "4217    0.030918\n",
       "dtype: float64"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "ds = pd.Series({id : label for (id, label) in zip(id_to_dog_prob.keys(), id_to_dog_prob.values())})\n",
    "ds.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>id</th>\n",
       "      <th>label</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>0.996203</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2</td>\n",
       "      <td>0.999412</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3</td>\n",
       "      <td>0.999129</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>4</td>\n",
       "      <td>0.999782</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>5</td>\n",
       "      <td>0.000930</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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      ],
      "text/plain": [
       "   id     label\n",
       "1   1  0.996203\n",
       "2   2  0.999412\n",
       "3   3  0.999129\n",
       "4   4  0.999782\n",
       "5   5  0.000930"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame(ds, columns = ['label']).sort_index()\n",
    "df['id'] = df.index\n",
    "df = df[['id', 'label']]\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "df.to_csv(SUBMISSION_FILE, index = False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100%|████████████████████████████████████████| 309k/309k [00:00<00:00, 85.8kB/s]\n",
      "Successfully submitted to Dogs vs. Cats Redux: Kernels Edition"
     ]
    }
   ],
   "source": [
    "!kaggle competitions submit -c dogs-vs-cats-redux-kernels-edition -f submission.csv -m \"Using PyTorch\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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