MNIST example.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Notebook to exemplify usage of InnvestigateModel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "\n",
    "import torch.nn as nn\n",
    "import torch.optim as optim\n",
    "\n",
    "\n",
    "from torch.utils.data import DataLoader\n",
    "from torchvision import datasets, transforms\n",
    "\n",
    "from mnist_test import Net, train, test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Network parameters\n",
    "class Params(object):\n",
    "    batch_size = 64\n",
    "    test_batch_size = 20\n",
    "    epochs = 5\n",
    "    lr = 0.01\n",
    "    momentum = 0.5\n",
    "    no_cuda = True\n",
    "    seed = 1\n",
    "    log_interval = 10\n",
    "    \n",
    "    def __init__(self):\n",
    "        pass\n",
    "\n",
    "args = Params()\n",
    "torch.manual_seed(args.seed)\n",
    "device = torch.device(\"cpu\")\n",
    "kwargs = {}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###  Load data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "train_loader = DataLoader(\n",
    "    datasets.MNIST('../data', train=True, download=True,\n",
    "                   transform=transforms.Compose([\n",
    "                       transforms.ToTensor(),\n",
    "                       transforms.Normalize((0.1307,), (0.3081,))\n",
    "                   ])),\n",
    "    batch_size=args.batch_size, shuffle=True, **kwargs)\n",
    "test_loader = DataLoader(\n",
    "    datasets.MNIST('../data', train=False, transform=transforms.Compose([\n",
    "                       transforms.ToTensor(),\n",
    "                       transforms.Normalize((0.1307,), (0.3081,))\n",
    "                   ])),\n",
    "    batch_size=args.test_batch_size, shuffle=True, **kwargs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Train model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train Epoch: 1 [0/60000 (0%)]\tLoss: 2.332586\n",
      "Train Epoch: 1 [640/60000 (1%)]\tLoss: 2.323807\n",
      "Train Epoch: 1 [1280/60000 (2%)]\tLoss: 2.262323\n",
      "Train Epoch: 1 [1920/60000 (3%)]\tLoss: 2.307054\n",
      "Train Epoch: 1 [2560/60000 (4%)]\tLoss: 2.248528\n",
      "Train Epoch: 1 [3200/60000 (5%)]\tLoss: 2.214086\n",
      "Train Epoch: 1 [3840/60000 (6%)]\tLoss: 2.219406\n",
      "Train Epoch: 1 [4480/60000 (7%)]\tLoss: 2.205292\n",
      "Train Epoch: 1 [5120/60000 (9%)]\tLoss: 2.088662\n",
      "Train Epoch: 1 [5760/60000 (10%)]\tLoss: 1.981406\n",
      "Train Epoch: 1 [6400/60000 (11%)]\tLoss: 1.929761\n",
      "Train Epoch: 1 [7040/60000 (12%)]\tLoss: 1.844703\n",
      "Train Epoch: 1 [7680/60000 (13%)]\tLoss: 1.841034\n",
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      "Train Epoch: 1 [8960/60000 (15%)]\tLoss: 1.767565\n",
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      "Train Epoch: 1 [12160/60000 (20%)]\tLoss: 1.218236\n",
      "Train Epoch: 1 [12800/60000 (21%)]\tLoss: 1.336145\n",
      "Train Epoch: 1 [13440/60000 (22%)]\tLoss: 1.201790\n",
      "Train Epoch: 1 [14080/60000 (23%)]\tLoss: 1.168254\n",
      "Train Epoch: 1 [14720/60000 (25%)]\tLoss: 1.000875\n",
      "Train Epoch: 1 [15360/60000 (26%)]\tLoss: 1.047581\n",
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      "\n",
      "Test set: Average loss: 0.2062, Accuracy: 9393/10000 (94%)\n",
      "\n",
      "Train Epoch: 2 [0/60000 (0%)]\tLoss: 0.479306\n",
      "Train Epoch: 2 [640/60000 (1%)]\tLoss: 0.403811\n",
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      "\n",
      "Test set: Average loss: 0.1336, Accuracy: 9588/10000 (96%)\n",
      "\n",
      "Train Epoch: 3 [0/60000 (0%)]\tLoss: 0.364641\n",
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      "\n",
      "Test set: Average loss: 0.1046, Accuracy: 9679/10000 (97%)\n",
      "\n",
      "Train Epoch: 4 [0/60000 (0%)]\tLoss: 0.279634\n",
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      "\n",
      "Test set: Average loss: 0.0905, Accuracy: 9709/10000 (97%)\n",
      "\n",
      "Train Epoch: 5 [0/60000 (0%)]\tLoss: 0.107032\n",
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      "Train Epoch: 5 [55680/60000 (93%)]\tLoss: 0.118962\n",
      "Train Epoch: 5 [56320/60000 (94%)]\tLoss: 0.330683\n",
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      "Train Epoch: 5 [58880/60000 (98%)]\tLoss: 0.163322\n",
      "Train Epoch: 5 [59520/60000 (99%)]\tLoss: 0.357964\n",
      "\n",
      "Test set: Average loss: 0.0765, Accuracy: 9756/10000 (98%)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "model = Net().to(device)\n",
    "dropper = nn.Dropout2d()\n",
    "dropper.train(True)\n",
    "\n",
    "optimizer = optim.SGD(model.parameters(), lr=args.lr, momentum=args.momentum)\n",
    "\n",
    "for epoch in range(1, args.epochs + 1):\n",
    "    train(args, model, device, train_loader, optimizer, epoch)\n",
    "    test(args, model, device, test_loader)\n",
    "torch.save(model.state_dict(), \"./mymodel\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Innvestigate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.colors as mcolors\n",
    "%matplotlib inline\n",
    "\n",
    "from innvestigator import InnvestigateModel\n",
    "from utils import Flatten"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "model = Net()\n",
    "model.load_state_dict(torch.load(\"./mymodel\"))\n",
    "# Convert to innvestigate model\n",
    "inn_model = InnvestigateModel(model, lrp_exponent=2,\n",
    "                              method=\"e-rule\",\n",
    "                              beta=.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING: LogSoftmax layer was turned into probabilities.\n",
      " \n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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uAp4B3ixQsxumzDTwTAhwM/uUsLR0RCr6eOAFM3tf0jDg+8AhhJVNTTGBDAZm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\nKC7AHcdxMooLcMdxnIzy/yrM7F3iT8vDAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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qbfaW9Oe8zdeUR7SWtJmkX0h6JD9u2l3+HNjNrD1UmmLqmbogqQO4hDSY9zjg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\nNPcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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PkpqKA3wtpkH4UP3GzF4zszXAFc1obwvCMtc0K4Atm9/1vCi1fKWk1WST1B0Y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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SF3gJpZpxrpVvUEpbzzBR95BGYr9jxYsiTiYd2iJpMqlT8r7Sa8ojsfeknIc5wMt0HWTn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\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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AbmZWUkHqDdo5HMCtz94x4tDSnvn+1bqfqdb6zaTSlm1VRM2ymWvgZmYl5QBuZlZiDuBm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\nGtYknLkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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CC4FRHYz+KIy83k/SDnHUyOaEwL4/M7MlqWO6FM08jmC5H7hI0mBJvRSivCfnvwX4pqSR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\nf19TdavGMUy+AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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e00gaBmwOPN1v8SLm5sfFwOWkrpp+OYAPYkPztDJP+wJpSIct0o+zwo+4lYX0\nZtaLShdKPVP/7gMmSNpR0gjgGGB6VZrpwIl5/kjg1v66QyQNk7R1nh8OvBP4Y62CuAvFzLpHAy6Y\nyH3apwMzSG2m70bEg5LOA2ZGxHTgEuAyST3AM6QgD4CkWcBoYISkw4GDgMeAGTl4DwVuAS6qVRYH\n8EGsuiGw61sBfpIW7l5721AadFjbrFM18F4oEXEjcGPVurML888DR/Xx3HF97HavgZbDAdzMuoMv\npbdWqvRnr240nAarTz+5p2qbmdXWYR8YB/AyOebiNfN5ZIfhPelxFb0EfDNbwwM6mJmVVAfeD9yn\nEZbJ9e9fM/+hNNV57x0zg0adRjhouAVuZt3BBzGtldZpCDxWmL9z7TQlaziYtUeHfUgcwMvkMEj3\nwwF+3c6CmJWQW+BmZiUVwPJ2F6KxHMBL5IGdYI8jngFg4fy0rsMaFGbN1WEfGAdwM+sOHXgaoQN4\niXwU2OfaNH9BXtdh70ez5nEAt3a6N09mtp7chWJmVkK+lN7MrKTchWJmVmIO4GZmJeQLeczMSswt\ncDOzEnIfeOMsjVC78m62Tq4bdHb9Orlu0Pn165fPQjEzKzH3gZuZlZC7UMzMSswB3MyshHwaoZlZ\nSfl+4GZmJeYWuJlZOXVYF7gDuJl1hw48CYUh7S6AmVmrrKpzqkXSZEkPS+qRdEYv20dKuipvv1fS\nuLx+K0m3SVoi6VtVz9lL0h/yc74hqeZFVw7gZtYVKi3weqb+SBoKfBs4GJgIHCtpYlWyU4CFETEe\n+Bpwfl7/PHAW8PFedv1fwKnAhDxNrlUnB3Az6wqVK+nrmWp4A9ATEY9GxHLgSmBKVZopwKV5/hrg\nAEmKiKURcScpkK8m6eXA6Ii4JyIC+D5weK2COICbWVcYYAt8a0kzC9NphV2NAWYXlufkdfSWJiJW\nAM8CW/VTvDF5P/3tcx0+iGlmXWMAZxEuiIhJzStJY7gFbmZdoVF94MBcYPvC8ti8rtc0koYBmwNP\n19jn2Br7XEfHBnBJIWl8u8vRLJ1cv06uG3R2/QZ73RoUwO8DJkjaUdII4BhgelWa6cCJef5I4Nbc\nt92riJgH/F3SG/PZJycAP6lVkEEVwCXNkrQsn2JTmb5V+5kNz/fmFuXTkvrlvD8i6a+Slkr6k6Rd\nGrz/ltdN0iuq8luSA8jHmpBXu96be0j6laRnJc2RdFYT8mhX3d4s6TeSFkv6vaR/aGZ+lVuhbOhp\nhLlP+3RgBvAn4OqIeFDSeZIOy8kuAbaS1AN8FFh9qqGkWcB/ACfl17RyBss/AxcDPcAjwE216jQY\n+8APjYhbOjjfltdP0vtJpzU3S6M5AAAIbElEQVS9g/SG2wlY2ISsWlq3iPgbsGllWdKOpDf/tU3K\nsh3vzcuB64D9gHHAnZJ+FxHVLb4N1dK6SdoS+CnwQeDHwLHATyXtFBHNeG82dDyHiLgRuLFq3dmF\n+eeBo/p47rg+1s8Edh9IOQZVC7wv+aT4RZJ2L6zbJrcats3Ln5A0T9Ljkk5uX2kHrpn1kzQEOAf4\n94h4KJJHIuKZxtek1/xb+dqdAPwyImZtYLHr1oL6jQN+GBErI+IR4E5gt4ZVoB9NrtubgSci4ke5\nbj8AngL+qbG1WFuDulAGjVIE8Ih4gTXf0hXvBu6IiCclTSadGH8g6QT4t61HNj+U9JSkmyW9doML\nPQBNrt/YPO0uaXbuRvlMDuxN16LXDml1v+GltdI2Ugvq93XgBEnDJb0SeBPQkpZyC+pWfaWhGGAL\ndCAaeBBz8IiIQTMBs4AlwKLCdGre9jbgkULau4AT8vx3gS8Wtu1Cer3G15nvW4CNgI2BTwFPAFt0\nQv1ILZ0AfgZsQWrR/aWSb5nrVpX/Pjn/TTvsvflmUrfQivy8z3RC3UjnRC8ifTkMJx3wWwVc0IzX\nLyLYDeLBOidgZrPK0chpMPaBHx6998XdBmwsaW9gPrAHqW8QYDvg/kLaxwaSYUTcVVj8gqQTSQHh\npwPZT51aXb9l+fFLEbEIWCTpAuAQ4KIBlby2lr92BScC10bEkvV8fj1aWr/cT/xz0gGzy4GXAddI\nmh8R31mP8venpXWLiKclTQG+QrosfQbpl8Wcfp+4ATrxZlaDMYD3KiJWSrqa9I09H7ghIhbnzfNY\n+7zMV2xodqz7866pmli/h0m3sS+ewtTn6UzN0OzXTtJGpANG79rQsq6PJtZvJ2BlRHw/L8+RdCXp\ny7fRAbxXzXztIuIO4PWw+lzpR4GvbnCh+8qPjhuUvhx94AWXA0cDx+X5iqtJp+RMlLQx6aBdXfKp\naG+RNELSKEmfALYm/VRstYbXLyKeA64CPilpM0ljgdOAGxpX7Lo0vG4F7yKdVXPbBpdy/TWjfn8h\nde+/R9IQSS/Lefy+UYWuU1NeO0l75r790aSW+OyImNGoQldzH3iTJ1Jf3DJSf1xluq4qTQ/wDDCi\nav0ZpL7rx4GTKfTFAZ8Gbuojz91IH4ilpCul/geY1Cn1y9tHk264s5h0f4azAXVC3XKaGcBnO+29\nmbfvT7pw5Nm8j4uAjTukblfkej1LamRs28zXcFeIe+qcKEkfuPI/0syso+0qxXfrTPsWuD9KcC+U\n0vSBm5ltqFJ1j9TBAdzMukLlUvpO4gBuZl0hSKdjdRIHcDPrGm6Bm5mVkC/kaaBNpNKe/rI0ot+L\nfDq5btDZ9evkukHn168Wt8DNzErILXAzsxJzADczK6FOvBeKA7iZdQV3oZiZlZgPYpqZlZBb4GZm\nJeVL6c3MSsqX0puZlZhb4GZmJeQ+cDOzEnMANzMrIR/ENDMrMbfAzcxKqBMvpR/S7gKYmbVC5SBm\nPVMtkiZLelhSj6Qzetk+UtJVefu9ksYVtn0qr39Y0tsL62dJ+oOkByTNrKdOboGbWddoRB+4pKHA\nt4EDgTnAfZKmR8RDhWSnAAsjYrykY4DzgaMlTQSOAXYDtgNukbRLRFS+N94aEQvqLYtb4GbWFRrY\nAn8D0BMRj0bEcuBKYEpVminApXn+GuAAScrrr4yIFyLir0BP3t96cQA3s64wwAC+taSZhem0wq7G\nALMLy3PyOnpLExErgGeBrWo8N4CbJd1flV+f3IViZl1jAF0oCyJiUvNK0qt/iIi5krYFfiHpzxHx\ny/6e4Ba4mXWFylko9Uw1zAW2LyyPzet6TSNpGLA58HR/z42IyuOTwHXU0bXiAG5mXaGBfeD3ARMk\n7ShpBOmg5PSqNNOBE/P8kcCtERF5/TH5LJUdgQnAbyRtImkzAEmbAAcBf6xVEHehmFnXaMSFPBGx\nQtLpwAxgKPDdiHhQ0nnAzIiYDlwCXCapB3iGFOTJ6a4GHgJWAP8SESslvRS4Lh3nZBhweUT8vFZZ\nlL4UWm8TqT0ZN8DSCPW3vZPrBp1dv06uG3R+/fqzrRRH15n2W3B/G/rAB8wtcDPrGr6U3syshDrx\nUnoHcDPrCr4fuJlZifl2smZmJeQWuJlZiTmAm5mVkEfkMTMrqQCWt7sQDeYAbmZdwS1wM7MScx+4\nmVkJuQVuZlZiboGbmZWQL6U3MyspX8hjZlZiDuBmZiXkg5hmZiXmFriZWQm5BW5mVlK+lN7MrMTc\nAjczKyGfRmhmVlIO4A20NELtyrvZOrlu0Nn16+S6QefXrxZ3oZiZlZBb4GZmJeV7oZiZlZhb4GZm\nJdSJF/IMaXcBzMxaZWWdUy2SJkt6WFKPpDN62T5S0lV5+72SxhW2fSqvf1jS2+vdZ28cwM2sK1QO\nYm5oAJc0FPg2cDAwEThW0sSqZKcACyNiPPA14Pz83InAMcBuwGTgO5KG1rnPdTiAm1lXqBzErGeq\n4Q1AT0Q8GhHLgSuBKVVppgCX5vlrgAMkKa+/MiJeiIi/Aj15f/Xscx0O4GbWNVbVOdUwBphdWJ6T\n1/WaJiJWAM8CW/Xz3Hr2uQ4fxDSzrrAKZiyFretMPkrSzMLyhRFxYTPKtSEcwM2sK0TE5Abtai6w\nfWF5bF7XW5o5koYBmwNP13hurX2uw10oZmYDcx8wQdKOkkaQDkpOr0ozHTgxzx8J3BoRkdcfk89S\n2RGYAPymzn2uwy1wM7MBiIgVkk4HZgBDge9GxIOSzgNmRsR04BLgMkk9wDOkgExOdzXwELAC+JeI\nWAnQ2z5rlUXpS8HMzMrGXShmZiXlAG5mVlIO4GZmJeUAbmZWUg7gZmYl5QBuZlZSDuBmZiXlAG5m\nVlIO4GZmJeUAbmZWUv8fhfF4WAgQ1hAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ONZQ0D/gtcJSkBZKGSxoI/B9hVMvTkp6R9J3CbTLrMBswD1gOvJfajotxewMv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\nZBQX4I7jOBnFBbjjOE5GcQHuOI6TUf4fkgOYKoJvJ6wAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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jWqHcDEyXtEO+2TgTmF2zz2zgqLx8GHBNRERePzO3UtkBmA7cFBH3AwskPT8f\nsw8wl0G4CsXMRoYGtULJddonAFeSblucHxG3SzoDmBMRs0k3Iy+UNA9YRgry5P0uJQXnNcDxuQUK\nwInA9/KXwnzgPYOlxQHc2mIcnV2aHo7i5+xz6L1BWa+Vg+9iG6uBD/JExOXA5TXrPlFafhx4Wz/H\nfgb4TB/r/wwMqd7dAdzMRg4/Sm/WGOPzvFtKn6NL853z8m1tSov1oQsfpXcAt5YqF4CG2uqiaCPd\nqU9kFp1UPUXvk5X1qn1yc35DUmQbcAA3M6sgD+hgtnGKAtBD9Hb0UM/Thz30ltg7tRBVtGn/C6kt\nOPQ+bTpQe/eJ9DYMdlvwJnIViplZhfkmptnGW07vTcyivngFGxaQauu9ofN/Bd8G7J2X35zn17Dh\nQA5F6byo9wY/zNNULoGbmVWUR6U3a5yiO7eiJD6O3jrgos64XGCqSr8pTwHfystFF3U7k56Zht7n\no/9Z2r/4v+iWJpUdyyVws8bqK2gVgbyq3asWXzbX5XkPUPRS9Jw8n5TnD1Nfl7q2kdwKxcysolwH\nbtYaRUFpTJ5X/e+unP5leV6UwLusUNjZqv5BquEAbmYjg29imrVWN3ZYX9TrF/X8LoG3kEvgZq3X\nTUGuth34Q+1KyEjjEriZWUUF8GS7E9FYDuDWkYpqhm4qeReKknfx1GWX/arvbC6Bm5lVkJsRmrVG\nl/2dracYbq0qT5Z2DQdwM9tYRbVQ8Wu+h66LK53LVShmZhXkR+nNWqubS6bdnLeO5CoUM7MKcwA3\nM6sgP8hjZlZhLoGbmVWQ68AbZ1WE2nXtZuvmvEF356+b8wbdn78BuRWKmVmFuQ7czKyCXIViZlZh\nXRbAu7G/fDOzDRXNCOuZBiFpf0l3SZon6SN9bB8r6ZK8/UZJU0rbPprX3yVpv5rjeiT9SdJl9WTJ\nAdzMRoaiP/B6pgFI6gHOBg4AZgBHSppRs9sxwCMRMQ34MnBmPnYGMBN4IbA/cE4+X+Ek4I56s+QA\nbmYjR2NK4HsC8yJifkQ8CVwMHFyzz8HAt/PyLGAfScrrL46IJyLiHmBePh+StgXeBHyr3uw4gJvZ\niLG2zgnYWtKc0vS+0mkmAQtKrxfmdfS1T0SsAVYAWw1y7FeAUxhCWxnfxDSzEWGIjVCWRsQeTUtM\nDUlvBh6MiFskva7e41wCN7MRo0H3MBcBk0uvt83r+txH0ibAlsDDAxz7SuAtku4lVcm8QdJ3B0uI\nA7iZjQhFCbzOKpSB3AxMl7SDpDGkm5Kza/aZDRyVlw8DromIyOtn5lYqOwDTgZsi4qMRsW1ETMnn\nuyYi3jlYQlyFYmYjQqOepI/V19BBAAAL1klEQVSINZJOAK4kDah0fkTcLukMYE5EzAbOAy6UNA9Y\nRgrK5P0uBeYCa4DjI2LYrdOVvhTMzLrbblL8qs59t4ZbWlkHPlwugZvZiNFlXaE4gJvZyNCFXaF0\n701MSSFpWrvT0SzdnL9uzht0d/46PW8NuonZMToqgEu6V9JqSY+Wpq+24bpXteg6LclfvvZJku6R\ntErSHZJ2avD5W543SdvVXO/RHEA+1IRrteuzuZuk30paIWmhpFObcI125W1vSTdJWinpVkmvaub1\nGtgVSsfoxCqUgyLi6i6+bsvzJ+lYUt8MbyL1szAVeKQJl2pp3iLiH8AWxevcLGse8MMmXbIdn82L\ngB8DrwOmANdL+ktu6dBILc2bpGcCPwPeD/wIOBL4maSpEdGMz2Y3jufQWSXw/uQ2k8sl7VJa96xc\nanh2fv1hSUskLZb03valduiamT9Jo4DTgP+MiLmR3B0Ryxqfkz6v38r37t3AbyLi3o1Mdt1akL8p\nwPciYm1E3A1cT+oIqemanLe9gfsj4gc5b98FHgL+tbG5WJ+rUNogIp6g91u6cDhwXUQ8KGl/4GTg\njaSG8fsO4zLfk/SQpKskvXijEz0ETc7ftnnaRdKCXI3yyRzYm65F7x2SRArg3x5s30ZqQf6+Arxb\n0mhJzwdeAbSkpNyCvNUO7yZgl752bIQGPsjTOSKiYybgXuBRYHlpOi5v2xe4u7Tv74B35+Xzgc+X\ntu1Eer+m1XndVwKbApsBHwXuByZ2Q/5IJZ0Afg5MJJXo/lZct8p5q7n+q/P1t+iyz+bepGqhNfm4\nT3ZD3kgdOy0nfTmMJj21uA74RjPev4jghRC31zmRHshpSjoaOXViHfgh0Xdd3K+BzSTtBTwA7Eaq\nGwTYBriltO99Q7lgRPyu9PJzko4iBYSfDeU8dWp1/lbn+RciYjmwXNI3gAOBbw4p5YNr+XtXchTw\nw4h4dJjH16Ol+cv1xL8ATiDVhT8XmCXpgYg4ZxjpH0hL8xYRD0s6GPgiqW/tK0m/LBYOI+31XZOK\nla7r0IkBvE8RsVbpEdQjSR+kyyJiZd68hPU7iNluYy/Hhj/vmqqJ+buL1EV9+ZHblj5+2+z3TtKm\nwNuAQzc2rcPRxPxNBdZGxHfy64WSLiZ9+TY6gPepme9dRFwHvAye7vBpPvCljU50f9fDNzHb7SLg\nCOAdeblwKXC0pBmSNiPdtKtLbor2SkljJI2T9GFga9JPxVZreP4i4jHgEuAUSeOVOo1/H1DXkE0N\n1PC8lRxKalXz641O5fA1I39/I1Xvv13SKEnPzde4tVGJrlNT3jtJu+e6/QmkkviCiLiyUYmu5Trw\nJk+kurjVpPq4YvpxzT5F5zBjatZ/hFR3vRh4L6W6OOBjwBX9XPOFpD+IVaTuHn8F7NEt+cvbJ5C6\nqFxJ6kz+E+R+cKqet7zPlcCnuu2zmbe/gdT73Yp8jm8Cm3VJ3r6f87WCVMh4djPfw50hbqhzoiJ1\n4O7MysxGhJ2lOL/OfV/pzqzMzDpLpapH6uAAbmYjQvEofTdxADezESFIzbG6iQO4mY0YLoGbmVWQ\nH+RpoM2lyjZ/WRUx4EM+3Zw36O78dXPeoPvzNxiXwM3MKsglcDOzCnMANzOroG7sC8UB3MxGBFeh\nmJlVmG9implVkEvgZmYV5Ufpzcwqyo/SmzXZ6DwvSkrd9JO3W/LWw4Zpn0waJQR6Rwopxle7vxWJ\nqpNL4GZmFeQ6cLMmKEqmmwOP5+VxeV60211Ltdrw9uR5MWbheOCxvDwmz8s/56uQt+J9egrYLy8f\nnOdHPQEPjk3L/7VZmp+QM7yYNGRSJ3AAN2uQIkjnv3dW0hvIikDeU9qnCHyrmp+0jdJDb562yvNF\n9B+kx9Gbz8f72aedirQV1Q/7ARfm5c1jFgC/1GGcmNc9ngP3+Pz6ZOCAvPzBJqZzMI28iSlpf+As\n0n/PtyLi8zXbxwLfAV5KGqrxiIi4N2/7KHAM6fvkAxFxpaTJef/n5KSeGxFnDZaOqg1qbGY2bI0Y\n1FhSD3A26XtpBnCkpBk1ux0DPBIR04AvA2fmY2cAM0lj8e4PnJPPtwb4UETMAF4OHN/HOTfgEri1\nxeb0llKX5XlffzjFupX5mCoYD2yTl+/K84GCwuP0/hrpZEUefvR9YGbq1PDjSh0EfpUNS7cP5fmJ\nwFfycpHPdvzSaOCj9HsC8yJiPoCki0m1SXNL+xwMnJ6XZwFflaS8/uKIeAK4R9I8YM+I+AOwBCAi\nVkq6A5hUc84NuARuZiNCcROzzhL41pLmlKb3lU41CVhQer0wr6OvfSJiDbCCVKM26LGSpgC7AzcO\nlieXwK2livrUZzJwybsvnV7aKG7y7UJ9Je+qOblYmBlwZip5fzev6qH/5pH1VEu0yhDqwJe2Y1R6\nSVsAPwQ+GBH/HGx/B3BrqSIIj2bof9SPDb5LWxXVA88C/jrEYzvx5iWkwFy8Z58cXdrwP2lWvIfj\n6f1C7svZrL9/OzSwGeEiUtP3wrZ5XV/7LJS0CbAl6WZmv8dKGk0K3t+LiB/Vk5BOL9SYmTXEEKtQ\nBnIzMF3SDpLGkG5Kzq7ZZzZwVF4+DLgmIiKvnylprKQdgOnATbl+/Dzgjoj473rz5BK4tcVohl7q\n7JSf4f0pfp5PZ8O/5m6wKN8BnAQctDgtFzcFB6ua+HuT0jRUjWhGGBFrJJ1Aat7eA5wfEbdLOgOY\nExGzScH4wnyTchkpyJP3u5R0c3INcHxErJX0KuBdwG2S/pwv9bGIuHygtDiAm9mI0MgBHXJgvbxm\n3SdKy48Db+vn2M8An6lZdz0w5DE/HcCtLZ6i90GPle1MSAPlBxFZDmyfl+e3KS3NMGmb3uWfxaEA\nPFc/fnpdUR/bqb+U/Ci92UYq/4Qd3e9efSs/cg8pUHaS4ibrEwy/zXrRSqcTA83Hc7XJpwFI1bSP\nkwJ4T2m/8iP3hSl5vkueX0Z7dOL/68ZwADezEcH9gZttpKIEtIzeJzHrKXWOI7Udh879Iyxuyt5A\nbzuxO/N8sLrX2q5m2638nhRVI1/O80/zForbtEWnVlezYTvw4hzPBw7NywM1NWwFl8DNzCrIo9Kb\nNchK0gMv0NtvyENs+AdWlEwn0luie4jONp/eEvjOpXVFCb22hAqdN8hDOR3Fe1K8F2/Tz/hB6gqF\nS+LrAPxS7+cLefvDeT4hzw8tne+KJqS1Xr6JaWZWYZ1SRdUoDuDWFmvpbWJX1G2Pp7f1xqrSfoWi\n5N3pP4OfAq7Ly8/N87H05rNoNlkukXdqnvoaPu0a4O25F8KLcsuUN+4Lb/xOWl6df1IV/aQ8RKoj\nB7i3WQmtg0vgZg1U/DGVq0SK5aKN+MQ8f4rO7S+kL0VALnc7V9zAK/pMKaokOjmolNO2rjQvnmDZ\nPAfrqcDjebkY7OHYPL+S3qdW2t1MspP/r4fDAdzMRgQ3IzRrkeKhmKIE/mR/O1ZQUTqvwiAOZeWb\nr+tKy7D+L41T8/yXO6T54nvWv2HbLkF3fY7AAdzMRgiXwM1apNxvOHTfH17VFe/Pupo59PYDw45p\n9sx7Nty/XVwHbtYCtT/Ru6XDq750aguU/gzWZ/a8YuG1afbhq9sfuMElcDOzSnMJ3KwFiqqTollh\nt/3hQW9b925Qvkn5/Dy/N9/NXEFnvH9+lN7MrKL8II9Zi3RbSalsbc28G5Tz8vs8/3gf29qtk9LS\nCA7g1pGKP7Si9UJfj3RbZyqeOC1uZk4HbmtTWsp8E9PMrMK6rRDgAG4drZurUrpV0eRzUZ6vaFdC\nargEbmZWUX6U3sxsEOVh8zqNS+BmZhXkZoRmZhXlAN5AqyLUrms3WzfnDbo7f92cN+j+/A3GVShm\nZhXkEriZWUW5LxQzswpzCdzMrIL8II+ZWYW5BG5mVkG+iWlmVlG+iWlmVmGuAzczq6B1cOUq2LrO\n3Zc2NTENoohodxrMzGwYRg2+i5mZdSIHcDOzinIANzOrKAdwM7OKcgA3M6soB3Azs4pyADczqygH\ncDOzinIANzOrKAdwM7OKcgA3M6soB3Azs4pyADczq6j/D1UF8cfPXPtBAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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xRkCtpF3MrOQjbYCKnMjTHk0oDTEOOA44kfUF7F3AKZIGS9oAuLjYDM3sLeDf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\nmA70BtX0+igAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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0Yi/K2OaC1A/dyFQNHtTYWkLSdODSiPhRC9M4HXgiIs5uYN+zgIci4vutyo8NblOn7h4z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\nRf1/JdweuPJHIEkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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CFPKEREktkfR8M23fDBwmqUdsc4mZLUo2oAFYamYrodno663hJKAbMJPgvplE8PkDXA9M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\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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CJ7N+4L2f0F41WFI34LJiT2hmrwMvAZdJ6irpGOCTwLjSZbtoJS8fhJ4HkroS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\nc85ljAd255zLmP8PszSWY/5V7uoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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7jtN5cBu44zhOBnETiuM4ToZxAe44jpNBGtAjjwtwx3E6B96J6dSSnkD+EoIf\nx7ARnsvWlkfM6pdvrxieB6wZ40k7/xPD36SOZbWdmaHBfmAX4I7jdA68E9OpBd3yQsiZ8nrGMMsa\neFrzbmmB+qz97xLN+1sx3JdcO9+I4UEx/E3qPNfEK4zbwB3HcTKIa+D1R77dtJHuT6JdJ20spDx0\nK3AsKyTtSrTulTRvY9K+LH1h9Ca4aoecm/ZZ5JysJt6yBwwPYbdxDacY1icuwOuLQiaFQmTxs7Qn\nzYXX0lR6b7JNE6sLblj9/mTxniV8C9g9xh+K4Whgaoz/Jck4PgS9gCXxkAvyCuKjUBzHcTJMg70h\nMynAE+2sOzmttJCmlv+JngVtLtG6e5Jr29IW8ib5skRyT7qRU4Zauy9J/iwoTl+J4beAy2P8hhg2\nkWvnvOSE2Iu5dEzDyZX6pIwmFEkjgasJt/YmM/tZXnoP4Dbgs4RbfoSZTY9pFwCnxNp8x8zGRqfj\nTwM9CHL5XjNr00l01rzSO47jtJ8yeKWX1ARcC+wPDAOOkjQsL9spwAdmNgS4ErginjsMOBLYGhgJ\nXBevtwzY28y2A7YHRkr6fFvNyZQGnmibadt3a791kj95S9WzFtczL+xCYc070Uh7FUirZ/K/hqD1\ne5eVr6ZuwFdjfEQMZxFs3rB6J/u2MTz0y6snLqX038dpB+WbSj8cmGJmUwEk3QUcAkxK5TkEuDjG\n7wWukaR4/C4zWwZMkzQFGG5m/wAWx/zd4tbm2u2ZEeDpTr3kYV9UIF8TsHaM98rLlzZL1BO9yP1x\nk7CltiWdl8lvkXR+9W7hnHog3WGZ0NJ9aGnETdoEUQ8kL9pjgXzX5f8FzM87ti05oc6xMfxhCMYB\nX4uHZsSwiWx35NYtxf+Y/SSNT+3fYGaJRWwAuVsFMBPYOe/8VXnMbLmkBcB68fhzeecOgFWa/QRg\nCHCtmT3fViUzI8Adx3E6RGmjUOaaWf67uaKY2Qpge0l9gfskbWNmr7Z2Tt0L8HSnV6J1Fhp2lrBJ\nKr1HXlp/clrqnHJVsAMU+mz+JC9Mkx46mLQj+U26k/vieC+G9ai5lfoF26VAvB5MYZvF8IvkTCMv\nxfB5mmvPz52fynh4VL0PD7m25mu8PiokHnBKSHqK3L2tx/uYScrXifk2MCi1PzAeK5RnpqSuBMPA\nvGLONbP5kp4g2MhbFeDeiek4TudhZZFb67wADJW0qaTuhE7JMXl5xgAnxPhhwONmZvH4kZJ6SNoU\nGAqMk9Q/at5IWgPYD3i9rYrUvQaevDA/pLiX54fktNPk7ZTYW9Or+SXaamJDrgWltm1pgXzpNVHy\n10ypF82tiI791fIW2k93BtaZ4+GSAAAT00lEQVSDbTjprboWeDHGW+1fuQ0emBWi2x7zEwB+EZPO\n42I2jn//hzYKYa9ZuXtbD+1tCMqkgUeb9lnAWMLtGWVmEyVdAow3szHAzcDtsZPyfYKQJ+YbTXiE\nlgNnmtkKSZ8Cbo128C7AaDN7sK26KLwUqk+tvWOvG8MFlH5P692zeWJqKfbFkCYLns07Mr2+3Peu\n0BK4K2gudNPj3vNNgV0I5j2A/9hRAPxUd3JZXv622puFe9cROuqVfqd+svEHFpdXtzGh2jbw9lD3\nGrjjOE5Z8Kn0jcOHMexG432aJs9oT2prIqoUieaa1mprRaH1W9Jaef7Q10LndiGMHQdgzzsBuPA9\nuKz/6vnTa6Y47cAXs3Icx8kwDbZmQacV4OmOzUYjaVtvGrMDLK251iuF6taay7hEU1/v6RDO63cL\nN3IiAKcXyFfrL49M4hq44zhORnGv9I1Hg72Qm5GVNUXaSz19YaRHnAyI8WSGRrEa86p8C0/k6IEh\n+t2ZIfy40AlOadTDg1JGMi/AkylNyczKRvq0TMaqt7Zkbmv0JNdZW490VPimlxOuJ1YCEy28Oo9V\nUPnSszzyHVmkj636LfoYf5sZRs2lx/U30vNddXwUiuM4TkZxG3j9kdyP5JN1eonnZ+GFvGYMS11t\nsNDMzXqkvZp4KTM8q879Qb/+vV0DQB+d1Wqna3PT7BmcHWPpr4y6bW9WaLAfMPMC3HEcpyi8E7P+\nSFbe658K32shb9ZIr/UNpa9n3pP6XSMcmq9zUuqa360Ny6s1J0f/aqMsuDBe+BT02bPl/M07mw9h\nCr9ZLa3BZE9tcA28vkhMIImg6kVO4NWz8CqFRGg3Udw44J5F5KknCi1Y1Rr1NPKkJe6O4agdHw6R\nW2Dh8BA9fFwIx6byJ22an6y+sXBkJsa7ZwrXwB3HcTKK0XBjMRtGgKcdHCQv2ULD8LKgveWTaNJp\nDbVQ2/L9ZGZFA0+T7+Qi7byjW17eer2H6eeszz9DuPA+Vj2k9/x3CH8Vlxu8F3h2/3hC8vm0W+56\nWbyPdYtr4I7jOBmkAYcRNuR64IXWW07vQ8fuYy3XA8/XUFtzdNCeSS71sqZ0IXt4Ia28VKp17/Lv\nxWbA92I88X679VEx8iyrHtp5U0K4Mc1/g7baWy/3rlJ0eD3wNWTjhxSXV6/6euA1I/+Ts5Feuivy\nwoSV5NrdCO3N79is6zHfBciv/1SCt3rIzR4+NawcyyfAo/HYMwWu4ZQRN6E4juNkEJ9K79QbDfY8\nNiPrWmi6/sm9mhrDC6tcl05PA9rAXYA7jtN5cAHuOI6TQXwij+M4ToZxDdxxHCeDuA28fHR0TGc9\n08htg8ZuXyO3DRq/fa3io1Acx3EyjNvAHcdxMoibUBzHcTKMC3DHcZwM4sMIHcdxMkoDrgfuzj4c\nx+k8rCxyawNJIyVNljRF0vkF0ntIujumPy9pcCrtgnh8sqQR8dggSU9ImiRpoqSz869ZCBfgjuN0\nGlYUubWGpCbgWmB/YBhwlKRhedlOAT4wsyHAlcAV8dxhwJHA1sBI4Lp4veXAOWY2DPg8cGaBazbD\nBbjjOJ2CZBBKRwU4MByYYmZTzexj4C7gkLw8hwC3xvi9wD6SFI/fZWbLzGwaMAUYbmazzexFADNb\nBLwGDGirIi7AHcfpNJTJgjIAmJHan0lzYbsqj5ktBxYA6xVzbjS37AA831ZFvBPTcZxOQYnDwPtJ\nGp/av8HMbih3nfKRtBbwR+C7ZrawrfwuwB3H6RSUOJN+bisu1d4m51gJYGA8VijPTEldgbWBea2d\nK6kbQXj/wcz+VEwl3YTiOE6noIw28BeAoZI2ldSd0Ck5Ji/PGOCEGD8MeNyCA+IxwJFxlMqmwFBg\nXLSP3wy8Zma/KrZNroE7jtNpKMc8HjNbLuksYCzB7ekoM5so6RJgvJmNIQjj2yVNAd4nCHlivtHA\nJMLIkzPNbIWk3YHjgFck/SsWdaGZPdRaXWrmld5xHKeabCfZ2CLzfopseKVvWBOKJJM0pNb1qBSN\n3L5Gbhs0dvvqvW1lMqHUDXUlwCVNl/SRpMWp7ZoalPtIlcqpSvti2WdLmiZpiaTXJG1R5utXvW2S\nNs4rb3EUIOdUoKxaPZvbS/qbpAWSZkr6YQXKqFXbdpU0TtIiSS9HM0LFSJZCKcMwwrqhHm3gB5vZ\nYw1cbtXbJ+lUwsywAwkTBDYDPqhAUVVtm5m9BayV7MdOoSmEnvxKUItn8w7gPmAvYDDwjKSXop21\nnFS1bZLWBR4ATgf+BBwFPCBpMzOrxLPZiP4c6ksDb4nYYztf0japY/2j1rB+3P++pNmSZkk6uXa1\nLZ1Ktk9SF+Ai4HtmNskCb5jZ++VvScHyq3nvjgeeNrPpHax20VShfYMJw8pWmNkbwDOEadgVp8Jt\n2xWYY2b3xLb9HngP+Gp5W7E6bkKpAWa2jNxbOuHrwFNm9q6kkcC5wH6EYTn7tqOYP0h6T9Ijkrbr\ncKVLoMLtGxi3bSTNiGaUH0fBXnGqdO+QJIIAv7WtvOWkCu27CjheUjdJnwZ2AaqiKVehbfnu3QRs\nUyhjOSjjMML6wczqZgOmA4uB+antGzFtX+CNVN6/A8fH+CjgZ6m0LQj3a0iR5e4GrAGsCVwAzAH6\nNkL7CJqOAX8B+hI0un8n5Wa5bXnl7xHLX6vBns1dCWah5fG8HzdC2wjTyucTXg7dCGOmVwLXV+L+\nmRlbg00sciMMB6xIPcq51aMN/FArbIt7AlhT0s7AO8D2BNsgwEbAhFTeN0sp0Mz+ntq9XNIJBIHw\nQCnXKZJqt++jGP7czOYD8yVdDxwA3FhSzdum6vcuxQnAH81scTvPL4aqti/aif8KnEWwhW8I3Cvp\nHTO7rh31b42qts3M5kk6BPgFYWW/sYQvi5ntqHtxZZIx7boI6lGAF8TCYPfRhDf2O8CDFlbtApjN\n6tNTN+5ocTT/vKsoFWzfZMIy9ukB/1Ud/F/peydpDeBw4CsdrWt7qGD7NgNWmNltcX+mpLsIL99y\nC/CCVPLemdlTwOcAFKabTwV+2eFKt1Qe3olZa+4AjgCOifGE0cCJkoZJWpPQaVcUcSjabpK6S+op\n6ftAP8KnYrUpe/vM7EPgbuA8Sb0lDQROAx4sX7WLouxtS/EVwqiaJzpcy/ZTifb9m2DeP1pSF0kb\nxjJeLleli6Qi907SDtG234egic8wK3quTcm4DbzCG8EW9xHBHpds9+XlSaamds87fj7Bdj0LOJmU\nLQ64EHi4hTK3JvwhlhAWm/k/YKdGaV9M70NYs3gRYSnLHxFn4Wa9bTHPWOAnjfZsxvS9CWtvLIjX\nuBFYs0Hadmds1wKCkrF+Je/hlmDPFbmRERu4T6V3HKdTsKVko4rMu1tGptJnxgbuOI7TUTJlHikC\nF+CO43QKkqn0jYQLcMdxOgVGGI7VSLgAdxyn0+AauOM4TgbxiTxlpJeU2eEvS8xaneTTyG2Dxm5f\nI7cNGr99beEauOM4TgZxDdxxHCfDuAB3HMfJII24FooLcMdxOgVuQnEcx8kw3onpOI6TQVwDzwAb\nAU0xviSGyVt3fvWr43RyesbwIGBpjPeK4bwY1sKDd7lI/mubENzqQO7/lvz/ZlW1Ri3jU+kdx3Ey\nik+lr2MSraYnOa1nzbw8roE71aJ3DE+K4XqptOkxHBbDLGrgiea9UQz7k/sPJv+zdWNYLxo4uAbu\nOI6TSdwGXockmk5if1sEDE3F02lTaLwb6NSWJnJ+CRPtbiPg9W3iTlRDr38a/hMPJc/jzqlrJGTh\n+ewJjIjxDWL4aio9ad+GVatR8WTh9y2FTAvwXuTMJckA/QUE/1oAu6fyQXiwGu0GOrUnEdyJIH/9\nO8DVcW+zkHolwZcdwHkxTDox1wQ+jPFEmNfzc3o88PkYT/5rL5HrtNwzhn1j2JNcB24tacROzKw5\nNXYcx2k35XJqLGmkpMmSpkg6v0B6D0l3x/TnJQ1OpV0Qj0+WNCJ1fJSkdyW9mn+9lsikBp5o3b3J\ndZgUesMnHUfbxbBi7q6dkmmivrXMlmjK2++SOjbv+Bi52mDbsHBer2nNz0u+CA8dHsJTxpW9mhXh\niBj+CDgnxu8ukC/pvEw08TsK5KkF5ZpKL6kJuBbYD5gJvCBpjJlNSmU7BfjAzIZIOhK4AjhC0jDg\nSIIz9Y2AxyRtYWYrgFuAa4Dbiq2La+CO43QKkk7MMmjgw4EpZjbVzD4G7gIOyctzCHBrjN8L7CNJ\n8fhdZrbMzKYRuuaGA5jZ08D7pbQpUxp4/xgmGkwPYE6BfIntbVAMB8cwixpfo5LVe5HUO9GoBwAT\nr407Z+SW2t47fgSnJ7dsG+PnJuNbPxeCpeOaa/b18oXSEzg1xo+N4TLgoQJ5B8fw3BhuEsNPaN4+\nqE37ymQDH0CuSwOCFr5zS3nMbLmkBQSjwADgubxzB7S3IpkR4IPIjetObsKbBfL1JvfplgjwF2I4\nAngmxpeQbbLQ2dWIJL/7ZjH81zKg++o+Et6VeCnGk0/27wCXfyHuPLVrvMizAEwERsakRCoUEnjV\nJDFTngMcEOPJ/+9ociO8EgYBiSF4+zg05a13Qvgjgl0ASlQvy0yJwwj7SRqf2r/BzG4od506SmYE\nuOM4TkcoUYDPNbOdWkh7m5x+CDAwHiuUZ6akrsDahIFHxZxbNHUvwJNx3kPJTYNdEMNCHZcHkTOx\nJFp20qnSG9gxxn8TwyzNziykldXLp2k5SJsN8r8w6sWkkHBQEuk+nNA/BfB/AGxB8/tyua0JZ8fB\ngnsHzTuZijn4Hnh9aohv+fUQzqC2JLNEvwesMSTE35oSwudpfn9eP43cH+4nIdh4cgh/MLIPPxix\nEIA9HgnHXixwjWpQJhPKC8BQSZsShO+RhA+TNGOAE4B/AIcBj5uZSRoD3CHpV4ROzKFAu7ux616A\nO47jlINyjUKJNu2zCAPbmoBRZjZR0iXAeDMbA9wM3C5pCsFydGQ8d6Kk0cAkYDlwZhyBgqQ7gb0I\n5puZwEVmdnNrdZFZbXyclupctT/wXhH5dqe5nS05bxA5DTzp/HywlEpE6tUxbjk0ms7uGLettuVr\n1j+i+ddc+vdPBMaSTeH+OKQwMawmdvKryK0pkoxELNRJ2BaVuHf7ElRIKPzFm7R1ybpwafzjJZNQ\n74zhCcABX4z5ngjh+jT/Ldt6bjvq1HgDyY4pMu+VMKEVE0rdkBkNvBjhDblOypau8UqMJ2N+NqTw\nSJYs0pL5wakclxY4tpLm43P7TssJ83zBtQM5U+H/i+Ekcote1ZInUvH085Tfhr7vt9y+h4F144Wm\nPx/Ck3aG37WQv5I02n8iMwLccRynIzTiVPpOJ8ATLSH2r7ANjaOBJzSallFP5H/ltCQQkuM9W0lL\nk5hfknFq/amtBl7oKy6tKReaAZjv0CH9WyVf0BPjaOlrhsPv8rruulF5p8ON9t/odALccZzOiXul\nbyASW/gmNB926DhtUWh4YyENtZDAaE0LTCadHUBuRnEth7q2ZJ9uygvTbSqknSf5donhwj1hRNTA\nkzWK0uvKVEJT9vXAHcdxMozbwOuMxO7W3k+j9whrqoBr4E7prCgQb6K59ryS0rS/JRS2n1eLQnVN\ntOMu5IY9pt2l5QvHQvbz5NiK/wfJGL3EpVylzRuugdchyRKXybjZ9qy1UK92sUYfDtjR9tXb7MyE\nFcD0qBUcviyE6aWMi2n3jsDUstesPKwEXonzR65QGJp9OS0vbVrwZXAKTIpTVLq0kbec1OPz0hEy\nL8Adx3GKwYcR1iGJ9nxCDK8s8fxZNF9ZrV7oLBNzGrJ90bZ3T1y2sNdruaRi2jmV+vLm3pzrAfhB\n1MQvV+uTJPPb/MbNOdNJtYSqkVtPqVHIvAB3HMcphkbUwDPvkWcsq9sXDyvx/HpwttpZyfd+Uus1\nsMvJHovDNv21sI0q8fzeFO+fsRZcrdO5Wqev2p9v97OSwgKyKbUlTCJ8+S6iNF+UHaVcPjHrhcxr\n4EkvfzJ+dkMgLpfPizEsJKSTtSeycLPqdUnVclFoHHWWaSL37F0dw23JPZfJHIRCprtPx3BygbR6\noQvwwxg/e1w0nQw3Fu4fons8HMIX808EjorhKwXSKk0jauCZF+CO4zjF0mgKUMMI8GQVwkPI3aRk\nUfpEm1lKzi1UwrIK16ucNNrDl0+p7avX3yNdr2Rtkx+njo+IYfLMziM4S4TcV8jCitWu46RXW+wT\n1zZZaH9Z5cvwb9F55slx7dangKicrxp0kPZVVi18Kr3jOE5G8Yk8GWAsOft28rZNa92JDezjvDyO\nU0l+QU7LTiabrR3DLuRmXSZ9OvU9hDBHIhD31kGrvNEn9u3TYrgBOTeIiau4p6pQt0K4AK9zlpLr\ntOxWIN0FtlMLkhEXkFs8LVnCYSU5AVfPyzmkO5tXpuIQTCLHxfjQGD6VypN0aNZyYS7vxHQcx8kw\nroFnCNe2nXpkSV6YNVoSgsnxWgwRLAbXwB3HcTKKT6V3HMfJMK6BO47jZBAfRug4jpNRXICXkSVm\nra8/mWEauW3Q2O1r5LZB47evLdyE4jiOk0FcA3ccx8kovhaK4zhOhnEN3HEcJ4P4RB7HcZwM4xq4\n4zhOBvFOTMdxnIzinZiO4zgZxm3gjuM4GWQljF0C/YrMPreilSkTMrNa18FxHMdpB13azuI4juPU\nIy7AHcdxMooLcMdxnIziAtxxHCejuAB3HMfJKC7AHcdxMooLcMdxnIziAtxxHCejuAB3HMfJKC7A\nHcdxMooLcMdxnIziAtxxHCejuAB3HMfJKP8foARsE6slALoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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S08yswtyEYmZWQT6JadZcxU3KO+x7Zu3CbeBmZhXkGrhZ45WHBuqw75e1Ewdw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\nlAO4mVlFOYCbmVXU/wcoHeJaCbpUhQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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J0yR9HuMBJstVxc9c6Xp7xjiEn0l6U9IeFaqnueT7vaRXJS2RdG6F6mhy2SSt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\n3XEcJ2O4Ynccx8kY/w/XsTaf1OUoVAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FQO+WN70oKt2/StJufZPUBxgP/MzMcr/PUtEu/TOzAwm/xwOAR8ysHIaA9ujb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\nCwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Ys6fzYLYyB3Azs5IK0rXt5uEAbl22d5+DS3vl+4/LrlFH69eWSlu2xREdls1cAzczKykH\ncDOzEnMANzMrIdfAzcxKahlleky+Fg7gZtYimq8G7r5QzKyF1KcvFEnjJD0laaqkVTovkzRQ0lV5\n/QOSRufle0t6WNJf8utehW0m5X0+mqeNOsuHa+Bm1iLqUwPP3R+fB+xN6oTtIUkTI2JKIdmxwLyI\nGCPpMNKg2oeSulPeLyJmSdqB1AnaiMJ2RxTGbO2Ua+Bm1iLq1hvhrsDUiJgWEW8CVwLjq9KMJ41S\nBannyg9JUkT8OSJm5eVPAGtJGshqcg3crBdpa7y5jmpZy4ClDcpL8+lSDXy4pGJN+JcR8cs8P4KV\nR0KaSRoftmh5mohYImkBMIxUA6/4JGmEpeLjob+StBS4DjgjOuku1gHczFpEZUCHmsxtZHeykrYn\nNavsU1h8REQ8l8c+vY40sPalHe3HAdyajt79TgD6TE1jRCydN68ns9OpYq27f2FZdc16KWlMuva2\ntc7U7S6U51h5CL2ReVlbaWZK6gesC7wEkEdPugE4KiKeXp67iOfy60JJl5OaahzArbn0HT4MgBj5\nNqZ+al0APj3uDgCG91/IweucD8C9b2wAwFUv7sqc97zSAzldWXWwrTSNLGNF4C7WDyvjtd18TJ45\nE3j7VwAInQPAMaQGVqtF3QL4Q8BWkjYnBerDSOOVFk0EjgbuAw4ijaYUktYDfg+cHBH3VBLnIL9e\nRMzNwwx+HGhvwO3lHMDNrEUE9bhikNu0TyDdQdIXuDginpB0OjA5IiYCFwGXSZoKvEwK8gAnAGOA\nUyWdmpftQxpW8NYcvPuSgvcFneXFAdx6NfUfAMCi/XfmhbGpznrGJ9PA7Iess2CV9I++8QZffe4j\nAEx6bBsAtj31WaBna+CV/0pYEUIq7wcA++f5C6Ny6++cNvYyCT7xQQCOyEturGsum139HuTJQ/Pd\nXLXs1ML868DBbWx3BnBGO7vdpav5cAA3sxbSXE9iOoBbr9Jn0CAAXjxiZwA++MX7AfjhxucvT/NG\npEt5c5e+yR4PHg/AkBuGALDBxCksfSXVtrfmIaBnb7Or1LKX5QlgcH6dlF+3iSeBbVbdeHzq3nur\nientHGBQXtVcPXp0F/eFYlZ3//jv3QHYbLvZfH3zWwH42OD7V0rz4Btv8cXTvwTA0GffBKDfHQ8z\nkidWStcb7oku3kFSuVXhcODblXaPX1ff2juZLZWC9Yt5yWBWBPyKPsCbeb43lLN8mq8vFAdwM2sR\nDuBmdfP3n+8KwDPjf7HKumP/+X4A/vLzdE/3Bpc/zAZv3dd9mVtDG+bXylWtQ6cBm5+U3uyVatsj\n7kxvX2fFbYSVWwvfYtWLnbBqrdy6ygHczKyEXAM3q4u//2JX/rbfeQC8Faneufsjh7P+T9YBoP+D\nTwGw/uJU6y7DSMOVmvI7gIc2y292TC8/2QJO4YcrpavUuotPVw7Ir0tZUduufvrSVpcvYprVxTf3\nuImBSiFszKRjANjyU48uX1/mpoILANJDoJyY7yC5hBV3kFQCcqWJpH9hvvJa5vL3Xq6Bm5mVmAO4\nWV0pv/YbNZIlM2b2aF7WRKX2/CIs71y0/5/Ta7EZpHihsnqdNZJr4GZmJeUAblYXC5autXz+H3tO\nAOC7N23HvTvn5cvK+6jKLID0YCg/Sg+U0vfPcG5e37fqtbwlLRsHcDOzkgrgjU5TlYkDuPWIi6/5\nCNfvnnrcu2/H6wDYefB07n/XAQAse3RKu9v2VpUa9RnAjHTHIMfnZWdvBuc+m+ar28Ctu7gGbtZl\n/bYYzQt7vh2A4df8FYBNv3svy96/EwAPXpZC2f5rv8rX/zPdWrj54T2Q0dVU3RQyBzgrz397hzwz\nFvaYkGbvbWc7azQHcDOzknIAN+uymT9Zi8d2/TkA8777KgA/nLs7196SLlgeese/A/DMvhdy7rvT\nYA3n7HgQAMsee7K7s9slGwPH5vlKjfpl4Po8f2j6wcFV58GBE9L8XVXprbs4gJuZlZgDuFmXLHlg\nfX44ZksATtogDcJ95tse58xjHl8l7T6DU3v4Ke9aD4D1HuumTK6m+cC0PP+J/LodcPbY/GZ8ft0d\njvtymj3pp+nVj8t3N/eFYtZlI8+6lzvO3QSAO7ZMjyhO+2Y//t+OaUjBo4bOXZ525pJFALw5VJTB\n68AVeb7yOgr4yuQ0/7l/5IU3A4+k2eIoPdad3IRiZlZSzRfAFVGGjjqtN9m7z8F1+dBo4EAAlrxn\n++XL+s97DWjcxcs/Lrumw6r92lLD/yEadfvg4ohy/GzpIWPHrh2TJ7cx9mgbpEcejoixnafsWa6B\nm1mLaL4auAO49Zh4Iz3W3HfSI8uXNUO7cFu3By5tZ966ky9imlkn2grQfdtZbt3JNXAzsxJrrq9R\nB3CzbtBcYaOsXAM3MyspB3Azs5JyADczK6nAd6GYmZWSa+BmnT7NWGZ+mrGZ1S+ASxoH/DfpDtEL\nI+L7VesHApcCuwAvAYdGxHRJewPfBwYAbwInRcQdeZtdgAnAWqTec06MTh6V79PRSjOzphJLa5s6\nIKkvcB6wL6nzycMlbVeV7FhgXkSMAc4Bzs7L5wL7RcQ7gaOBywrb/Bw4DtgqT+M6K44DuJm1jmU1\nTh3bFZgaEdMi4k3gSlZ0HFwxHrgkz18LfEiSIuLPETErL38CWEvSQElvB4ZGxP251n0pcEBnGXEA\nN7PWEKQb8muZYLikyYXp+MKeRgAzCu9n5mW0lSYilgALgGFVaT4JPBIRb+T0MzvZ5yrcBm5mrSGA\nt2pOPbeRvRFK2p7UrLLPmuzHNXAzaw1dq4F35DnSuB0VI/OyNtNI6gesS7qYiaSRwA3AURHxdCH9\nyE72uQoHcDNrHfVpA38I2ErS5pIGAIcBE6vSTCRdpAQ4CLgjIkLSesDvgZMj4p5K4oiYDbwiaXdJ\nAo4CbuwsIw7gZtYa6lQDz23aJwC3Ak8CV0fEE5JOl7R/TnYRMEzSVOCrwMl5+QnAGOBUSY/maaO8\n7gvAhcBU4Gngls6K5BF5zKwljN1JMfm22tLqbXhEHjOzXqNrFzFLwQHczFpDpQmliTiAm1nraIYx\n+wocwM2sNbgGbmZWYq6Bm5mVkGvgZmYl1YR3oTTtgzySQtKYns5HozRz+Zq5bNDc5evVZavfo/S9\nRq8K4JKmS3pN0qLCdG43HHe0pDslvSrpb5I+3KDj9FT5/kvSXyQtkXRag47R7WWTtJGkKyTNkrRA\n0j2SdmvQsXrq3N0p6UVJr0h6TFJ1t6X1OEaPlK1w/D1y4D+j4QdrsgDeG5tQ9ouI27v5mFcA9wEf\nzdO1kraKiBcbcKyeKN9U4BvA5xt8nO4u2zqkfim+CrxA6kT/95JGR8SiBhyvJ87dicCUiFiSv5xu\nl7R17jujnnqibEjqTxrZ5oGGHyxououYvaoG3p7c4fl8STsUlm2Yaw0b5fcnSZqda2Of6cK+twb+\nBfhORLwWEdcBfyH11dstGlk+gIi4JCJuARbWOeudamTZcof6P4mI2RGxNCJ+SRqq6h31L0nbuuHc\nPZ773oAUgvqzck94DdPosmVfA24D/lanbHesyWrgpQjgucPz64HDC4sPAe6KiBeUxqf7OrA3aSii\nrjSBbA9Mi4hicHssL+8WDS5fj+rOsknaiRTAp65+jrumO8on6SZJr5NqqZOAyWua71o0umySNgM+\nA5xenxx3onIRs5apJHpjAP9t/tavTMfl5ZeTum2s+FReBulD9auI+GtELAZO68Lx1iGNllG0ABjS\n9azXpLvL1516rGyShpLGF/xuRFSfz3rpkfJFxMdJn8ePArdFRCMaAnqibP8DnNKg5q5VNeFFzN7Y\nBn5AO21xdwKDczvgHGAnUqfoAJsADxfSPtuF4y0ChlYtG0rjmhu6u3zdqUfKJmkt4HfA/RFxVle3\n74IeO3cR8RZwi6QTJU2NiOr+p9dUt5ZN0n7AkIi4ajXzu3qarA28NwbwNkXEUklXk37OzQFuKjR7\nzGbldsFNu7DrJ4AtJA0p7G9HVtQyukUDy9fjGlk2SQOB35LGEPxcHbLbZd187voBW67hPmrWwLJ9\nCBgr6fn8fl1gqaR3RkTd77QBmvJBnt7YhNKRy4FDgSNYOcBeDRwjaTtJg4Hv1LrDiPg78CjwHUmD\nJB0IvAu4rn7ZrlndywfpSr+kQaTz3S+Xs2+9Ml2jupct38FwLfAacHSDmhZq1YjybSNpX0lr5XP4\nb8C/AnfVM+M1aMTn8hRga1KNfifSCDYXAJ+uS47b02RNKEREr5mA6aR/xkWF6YaqNFOBl4EBVctP\nBp4HZpEujAQwJq/7FnBLB8cdTbo49BrwFPDhJivfhJy+OB1T9rIBe+S0r1Yd9wPNcO6AbUkXLhcC\n80m3TB7YDGVr5zN6Rr3LVpx2GUPE72ubgMmNzEu9Jo/IY2YtYewYxeQf15ZWB3hEHjOz3qVMzSM1\ncAA3s9bQhBcxHcDNrHX4NkIzsxJyDbx+1pZKe/V0cYQ6Wt/MZYPmLl8zlw2av3wdcgA3MyupJhzQ\nwQHczFqH28DNzErITShmZiXmAG5mVkJNOCKPA7iZtQZfxDQzKzE3oZiZlVATXsQsW3/gZmarb1mN\nUyckjZP0lKSpkk5uY/1ASVfl9Q9IGp2XD5N0p6RFks6t2mZS3uejedqos3y4Bm5mraFONfA8GMp5\npMGcZwIPSZoYEVMKyY4F5kXEGEmHAWeTBsV4nTSYxQ55qnZERNQ8aLVr4GbWGuo3qPGuwNSImBYR\nbwJXAtXDwI0HLsnz1wIfkqSIWBwRd5MC+RpzADez1lC5C6WWCYZLmlyYji/saQQwo/B+Zl5GW2ki\nYgmwABhWQy5/lZtPTpHUad8vbkIxs9ZR+33gc3tgRJ4jIuI5SUNIY/IeCVza0QYtWwPvW5j656ny\n3syaUP2aUJ4DRhXej8zL2kwjqR+wLvBSh9mLeC6/LiQNHr1rZxlp2QBuZi2oPgH8IWArSZtLGgAc\nBkysSjMRODrPHwTcER0MQCypn6Theb4/8HHgr51lpKWaUNqrXTfZw1lm1pY6PUofEUsknQDcSgor\nF0fEE5JOJ41mPxG4CLhM0lTgZVKQB0DSdGAoMEDSAcA+wLPArTl49wVuBy7oLC9NHcD759fiOWuy\n+/jNrCvqFAAi4mbg5qplpxbmXwcObmfb0e3sdpeu5qOpA7iZ2XLuC6X3KzaTNNm5MrM10YSP0jdd\nADcza5e7k+3dmuwL1szqxTVwM7MScwA3MyshX8Q0MyspN6GYmZWYL2KamZWQa+BmZiXlUenNzErM\nNXAzsxLyXShmZiXlNvDery9Nd47MrF6aLDg0XQA3M2uTL2KamZWYa+C9W5OdHzOrF9fAzcxKKoA3\nezoT9eUAbmatwzVwM7MS8m2EZmYl5QBuZlZibkIxMyshP0pvZlZSbkIxMysxB3AzsxLygzxmZiXm\nGriZWQm5Dbx+Fkeop47daM1cNmju8jVz2aD5y9ch34ViZlZibgM3MyuhJmxC6dPTGTAz6zZLa5w6\nIWmcpKckTZV0chvrB0q6Kq9/QNLovHyYpDslLZJ0btU2u0j6S97mfyR12tzlAG5mraFyG2EtUwck\n9QXOA/YFtgMOl7RdVbJjgXkRMQY4Bzg7L38dOAX4ehu7/jlwHLBVnsZ1ViQHcDNrDZX+wGuZOrYr\nMDUipkXEm8CVwPiqNOOBS/L8tcCHJCkiFkfE3aRAvpyktwNDI+L+iAjgUuCAzjLiAG5mraP2Gvhw\nSZML0/GFvYwAZhTez8zLaCtNRCwBFgDDOsjZiLyfjva5Cl/ENLOW0YVrmHMjYmzjclIfroGbWUuo\n3IRSh2uYzwGjCu9H5mVtppHUD1gXeKmTfY7sZJ+rcAA3s5ZRh2uYAA8BW0naXNIA4DBgYlWaicDR\nef4g4I7ctt2miJgNvCJp93z3yVHAjZ1lxE0oZtYS6nUbeEQskXQCcCvQF7g4Ip6QdDowOSImAhcB\nl0maCrxMCvIASJoODAUGSDoA2CcipgBfACYAawG35KlD6uBLwcysaewsxZ01pl0fHi5DG7hr4GbW\nEprwQUwHcDNrHU3WFYoDuJm1hmasgTftXSiSQtKYns5HozRz+Zq5bNDc5evtZavTbYS9Rq8K4JKm\nS3otd/RSmc7tfMu6H/e2bjpOt5QvH/tESc9IWizpSUlb13n/3V42SZtWHW9RDiBfa8CxeuqzuZOk\n/5W0QNJMSac04Bg9Vbb3SnrSNPOfAAAJr0lEQVRQ0kJJj0t6fyOPV6euUHqV3tiEsl9E3N7Ex+32\n8kn6LKlznY8BTwJbAPMacKhuLVtE/BNYp/Je0ubAVOC6Bh2yJz6blwM3AHsCo4G7JT2Wb1Wrp24t\nm6QNgN8BnweuBw4Hfidpi4hoxGezGcdz6F018PbkrhnnS9qhsGzDXGvYKL8/SdJsSbMkfabnctt1\njSyfpD7Ad4CvRMSUSJ6OiJfrX5I2j9+d5+4o4E8RMX0Ns12zbijfaOA3EbE0Ip4G7ga2r1sBOtDg\nsr0XeD4irsll+zXwIvCJ+pZiZW5C6QER8QYrvqUrDgHuiogXJI0jdc+4N6kbxg+vxmF+I+lFSbdJ\n2nGNM90FDS7fyDztIGlGbkb5bg7sDddN5w5p+dNrl3SWtp66oXw/BY6S1F/SO4D3AN1SU+6GslX3\ndy1gh7YS1kMdH6XvPSKi10zAdGARML8wHZfXfRh4upD2HuCoPH8x8P3Cuq1J52tMjcd9H+npp8HA\nN4HngfWaoXykmk4AvwfWI9Xo/l45bpnLVnX8D+Tjr9Nkn833kpqFluTtvtsMZSP1zDef9OXQn/TY\n+TLg/Eacv4hge4gnapxIT1Q2JB/1nHpjG/gB0XZb3J3AYEm7AXOAnUhtgwCbAA8X0j7blQNGxD2F\nt2dJOpoUEH7Xlf3UqLvL91p+/UFEzAfmSzof+ChwQZdy3rluP3cFRwPXRcSi1dy+Ft1avtxO/Afg\nBFJb+MbAtZLmRMTPViP/HenWskXES5LGAz8iDY5wK+mXxcwON1wDzXgbYW8M4G2KiKWSriZ9Y88B\nboqIhXn1bFbuHWzTNT0cq/68a6gGlu8pUhf1xT4TurX/hEafO0lrAQcDB65pXldHA8u3BbA0Ii7N\n72dKupL05VvvAN6mRp67iLgLeDcs77FvGvDjNc50e8fDFzF72uXAocAReb7iauAYSdtJGky6aFeT\nfCva+yQNkDRI0knAcNJPxe5W9/JFxKvAVcA3JA2RNBI4HripftmuSd3LVnAg6a6aWru6aIRGlO/v\npOb9T0nqI2njfIzH65XpGjXk3EnaObftDyXVxGdExK31ynQ1t4E3eCK1xb1Gao+rTDdUpan07jWg\navnJpLbrWcBnKLTFAd8CbmnnmNuT/iEWk/rr/f/A2GYpX14/lDTs00LSKCGnkjsyK3vZcppbgf9q\nts9mXr8XqfvSBXkfFwCDm6RsV+RyLSBVMjZq5DncBuL+GidK0gbu3gjNrCVsI8XFNaZ9n3sjNDPr\nXUrVPFIDB3AzawmVR+mbiQO4mbWEIN2O1UwcwM2sZbgGbmZWQn6Qp47Wlkp7+8viiA4f8mnmskFz\nl6+ZywbNX77OuAZuZlZCroGbmZWYA7iZWQk1Y18oDuBm1hLchGJmVmK+iGlmVkKugZuZlZQfpTcz\nKyk/St9E+raxrKPRLZbRfD+/zFqNa+BmZiXkNvCSK9a6+xeWVZ/Upax6v2hbNXYzK5dmC+BlGxOz\nJn2rpv6sCNiV+dfztBjYLU8vHZOm+bNgcXyFxfGV5eNL9chouXXU3t/DrFVULmLWMnVG0jhJT0ma\nKunkNtYPlHRVXv+ApNGFdd/My5+S9JHC8umS/iLpUUmTaylTS9XAzay11aMGLqkvcB6wNzATeEjS\nxIiYUkh2LDAvIsZIOgw4GzhU0nbAYaSxeDcBbpe0dURUsvbBiJhba16aLoD3Z0VzR+UvUnk/ANg/\nz18YG+W5OW3sZRJ84oNAGoYb4Ma65rKxBlW9woomoTdpvgs5ZrWo46P0uwJTI2IagKQrgfFAMYCP\nB07L89cC50pSXn5lRLwBPCNpat7ffauTkaZsQjEzq1a5iFnLBAyXNLkwHV/Y1QhgRuH9zLyMttJE\nxBJgATCsk20DuE3Sw1XHa1fT1MArtexiG9bg/Dopv24TTwLbrLrx+NTN8FYT09s5rKi9vl7fbDbM\nIFZu5wd4gxX5b7aLN2arowu/Puf2wKj074+I5yRtBPxR0t8i4k8dbVDqAF68g2RUfj0c+Hal3ePX\n1X3XT2ZLpWD9Yl4ymFVPah9W3PDfWwNf5Qur+BNqYU9kxKwk6ngb4XOsCDkAI/OyttLMlNQPWBd4\nqaNtI6Ly+oKkG0hNKx0GcDehmFlL6GITSkceAraStLmkAaSLkhOr0kwEjs7zBwF3RETk5Yflu1Q2\nB7YCHpS0tqQhAJLWBvYB/tpZRkpdAwfYML+eml8PnQZsflJ6s1eqbY+4M719nRXNC5VvrrdY9WIn\n9M4LfW3di/5W1auZta8e/9cRsUTSCcCtpH/LiyPiCUmnA5MjYiJwEXBZvkj5MinIk9NdTbrguQT4\nYkQslfQ24IZ0nZN+wOUR8YfO8lL6AG5mVot6DugQETcDN1ctO7Uw/zpwcDvbfg/4XtWyacCOXc1H\nKQN4pSb6DuChzfKbXPSfbAGn8MOV0lVq3cWTNyC/LmXFt3JvrcVW3xZpZl3nR+l7mQsANkjzJ+YW\nqEtYcQdJJSBXTlr/wnzltTc2lVQ4cJvVV7P9L5U6gJuZ1cr9gfcSlW/RFyF1YgL0/3N6LTaDFC9U\nVq8zs9bjGriZWQl5VPpeZhbAkDT/o53Ta98/w7l5fd+q17J++7Z1EdbMusYXMc3MSsxt4L1ApUZ9\nBjAj3TFIpeeXszeDc59N89Vt4GVTXVtoa/AJM6uNa+A9rLopZA5wVp7/9g55ZizsMSHN3tvOdmVT\n7O+grGUw6w2a7f+nVAHczGx1+TbCHrQxaYgLWFGjfhm4Ps8fmrt9ueo8OHBCmr+rKn0ZtPVrodIE\nNIgVH8Bmq0mYNVqwopfRZlGaAG5mtiZcA+9B84Fpef4T+XU74OxKl+vj8+vucNyX0+xJP02vZTxp\nfWm7r9/KMtfAzbqu2f5vShPAXweuyPOV11HAV/LYzZ/7R154M/BImi2O0lMWS9uYL2M5zHob18DN\nzErMNfBeZAbw1Tz/1QV5pjC2c9lvH6woe/7NegM/Sm9mVlJ+kKeXaev2wLbakM3MoPliQqkDeFsn\nw4+bm1lbfBHTzKzEmq1y13QBvNlOkJnVh2vgZmYl5UfpzcxKzDVwM7MS8m2EZmYl5QBeR4sj1FPH\nbrRmLhs0d/mauWzQ/OXrjJtQzMxKyDVwM7OScl8oZmYl5hq4mVkJ+UEeM7MScw3czKyEfBHTzKyk\nfBHTzKzE3AZuZlZCy+DWxTC8xuRzG5qZOlFE9HQezMxsNfTp6QyYmdnqcQA3MyspB3Azs5JyADcz\nKykHcDOzknIANzMrKQdwM7OScgA3MyspB3Azs5JyADczKykHcDOzknIANzMrKQdwM7OS+j+8eOkg\nTzwmvAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Rctqgon2TdBiwnpnd0cH2dozSPPomA0MlbU0QsmMID7Y0E4HjCWNrRwKPm5m1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\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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M7B0ze5nQObxvTNcd2EJSd6A3oWO4oJq1gfeRMtt7utJMhdY3ctmgscvXyGWD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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for data, target in test_loader:\n",
    "\n",
    "    data, target = data.to(device), target.to(device)\n",
    "    batch_size = int(data.size()[0])\n",
    "\n",
    "    evidence_for_class = []\n",
    "    # Overlay with noise \n",
    "    # data[0] += 0.25 * data[0].max() * torch.Tensor(np.random.randn(28*28).reshape(1, 28, 28))\n",
    "    model_prediction, true_relevance = inn_model.innvestigate(in_tensor=data)\n",
    "\n",
    "    for i in range(10):\n",
    "        # Unfortunately, we had some issue with freeing pytorch memory, therefore \n",
    "        # we need to reevaluate the model separately for every class.\n",
    "        model_prediction, input_relevance_values = inn_model.innvestigate(in_tensor=data, rel_for_class=i)\n",
    "        evidence_for_class.append(input_relevance_values)\n",
    "    \n",
    "    \n",
    "    evidence_for_class = np.array([elt.numpy() for elt in evidence_for_class])\n",
    "    for idx, example in enumerate(data):\n",
    "\n",
    "        prediction = np.argmax(model_prediction.detach(), axis=1)\n",
    "        \n",
    "\n",
    "        fig, axes = plt.subplots(3, 5)\n",
    "        fig.suptitle(\"Prediction of model: \" + str(prediction[idx]) + \"({0:.2f})\".format(\n",
    "            100*float(model_prediction[idx][model_prediction[idx].argmax()].exp()/model_prediction[idx].exp().sum())))\n",
    "        \n",
    "        vmin = np.percentile(evidence_for_class[:, idx], 50)\n",
    "        vmax = np.percentile(evidence_for_class[:, idx], 99.9)\n",
    "        \n",
    "        axes[0, 2].imshow(example[0])\n",
    "        axes[0, 2].set_title(\"Input (\" + str(int(target[idx]))+ \")\")\n",
    "        axes[0, 3].imshow(evidence_for_class[prediction[idx]][idx][0], vmin=vmin,\n",
    "                          vmax=vmax, cmap=\"hot\")\n",
    "        axes[0, 3].set_title(\"Pred. Evd.\")\n",
    "        for ax in axes[0]:\n",
    "            ax.set_axis_off()\n",
    "        for j, ax in enumerate(axes[1:].flatten()):\n",
    "            im = ax.imshow(evidence_for_class[j][idx][0], cmap=\"hot\", vmin=vmin,\n",
    "                          vmax=vmax)\n",
    "            ax.set_axis_off()\n",
    "            ax.set_title(\"Evd. \" + str(j))\n",
    "        fig.colorbar(im, ax=axes.ravel().tolist())\n",
    "        plt.show()\n",
    "    break\n",
    "        # fig.savefig(\"./mnist_example{0}.png\".format(idx))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}