Figure 1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-13T10:02:18.195415Z",
     "start_time": "2019-09-13T10:02:16.944972Z"
    }
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "%config InlineBackend.figure_format='retina'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-13T10:02:18.204977Z",
     "start_time": "2019-09-13T10:02:18.196879Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = torch.FloatTensor(1, 14).normal_(0, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-13T10:02:18.211362Z",
     "start_time": "2019-09-13T10:02:18.207724Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "matplotlib.style.use('seaborn-pastel')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-09-13T10:02:18.218192Z",
     "start_time": "2019-09-13T10:02:18.214127Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a.requires_grad = True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-13T11:36:49.333529Z",
     "start_time": "2019-08-13T11:36:49.320911Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_1d_row(tensor, background='w', name='test.pdf'):\n",
    "    fig, ax = plt.subplots(figsize=(5, 1), dpi=144)\n",
    "\n",
    "    # Hide axes\n",
    "    ax.set_axis_off()\n",
    "    \n",
    "    rows = [[f'{x:.2f}' for x in row] for row in tensor]\n",
    "    n_cols = len(tensor[0])\n",
    "    n_rows = len(tensor)\n",
    "    colors = [[row] * n_cols for row in background]\n",
    "    table = matplotlib.table.table(ax, cellColours=colors, cellText=rows, colLabels=None, loc='center', colWidths=[0.15]*n_cols)\n",
    "    for cell in table.get_children():\n",
    "        cell.set_height(0.75)\n",
    "        cell._loc = 'center'\n",
    "    plt.show()\n",
    "    fig.savefig(name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-13T11:36:49.351144Z",
     "start_time": "2019-08-13T11:36:49.337205Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "layer = torch.nn.Conv1d(1,1,3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-13T11:36:49.361943Z",
     "start_time": "2019-08-13T11:36:49.354328Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Parameter containing:\n",
       "tensor([[[ 0.2198, -0.0508, -0.3705]]], requires_grad=True)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "layer.weight"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-13T11:36:49.745435Z",
     "start_time": "2019-08-13T11:36:49.368609Z"
    }
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 179,
       "width": 1200
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_1d_row(a, name='original_tensor.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-13T11:36:49.893514Z",
     "start_time": "2019-08-13T11:36:49.749858Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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V3aBBgxp0fPXbNN9+++0m99RY//Zv/xZZlhXH48aNy72koBSWLFkSL7/8cnFcKBRi4sSJJZ2D+mnK2u3cuXP07t27ON62bVts2bKlxfuKaNrP1AMPPBC/+c1vYvPmzXHgwIHYvHlzLFu2LB599NG4/vrro7y8PO65556oqqpqUE80TGtdm/Vx6NCh2LJlS7zyyivxta99LUaMGBG///3vi78+efLkuPLKK0s2X/Vbmb1QBYBSEyICQIlUv8qpT58+DTq++v4t9SbRZcuWxQMPPJDbdtttt5V0jizL4sYbb8wFlZdffnnuuZAcO6117bbWviIitmzZEtOmTYvx48fH1q1bS3Ze8lrzGqjuueeei0KhUKwOHTpE7969Y9y4cfEv//IvxatXC4VC3HzzzTVCv6ZYv359vPjii8Vxx44dY/LkySU7PwBERHSoexcAoD6q397YuXPnBh3fpUuX5PmOhX379sXkyZNj3759xW0XXHBBXHrppSWd595774358+cXx507d4577rmnpHNQf6117bZEX8OGDYuJEyfGqFGj4pRTTokePXrErl27Ys2aNfHSSy/FjBkzcqHhCy+8EFdeeWU8//zzNV4URNO11rXZGO3bt4+pU6fGrbfeGiNGjCjpuR999NHcVbETJkzIXYUJAKXgSkQAKJFdu3blxg39slt9/+rnOxa+8pWv5J6F2L179/jBD35Q0jlefPHF+PrXv57b9k//9E9x6qmnlnQe6q+1rt1j2ddFF10UFRUVsXTp0rjnnnvi6quvjrPOOitOOeWUGDlyZFxyySVx3333xerVq+OLX/xi7tiXXnop7rzzzgb1Rv201rXZGIcOHYrHHnsspk+fnrutuRQeeeSR3NitzAA0ByEiADSTI98M25j9j7zV91i49957Y8aMGbl+fvCDH9R44UtTLF++PK666qo4dOhQcdvEiRPjb/7mb0o2B03XWtduc/b1hS98IUaNGlXnObt37x4PP/xwfPnLX85tv++++47p8/Y+qlrr2oyIOO+886KysrJYK1asiFdffTUefPDBuPDCCyPigyshf/jDH8aZZ54ZP/rRj0oy78KFC2PZsmXFce/evWPChAklOTcAHMk9FwBQIt26dcuN9+zZ06Djq+//sY99rMk91dfMmTNj2rRpuW2Hr8YqlQ0bNsRFF12UuxX0nHPOidmzZzc4GKCmVatW1Wu/4447rsZLclrr2m2tfUVE3H///fHcc8/F6tWrI+KDcGj27Nlx4403lmyOD4sP49o8mi5dutR4I3RExNixY+Ov//qv4xe/+EVMmjQp3nnnndi1a1dMmTIlunbtGpdddlmT5q3+bMXJkydHx44dm3ROADgaVyICQIlU/7K7d+/eBh1fff9jFSLOmTMnrrvuutwVOrfffnv8/d//fcnm2Lp1a4wfP74YuER88Oy5OXPm1Ph9o3GGDBlSr5o+fXqNY1vr2m2tfUVEdOrUKW6++ebcthdeeKFk5/8w+TCuzcY477zzYt68ecXnNFZVVcWXvvSl2LlzZ6PPuX///pg9e3Zum1uZAWguQkQAKJGePXvmxps3b27Q8Zs2bUqerzm88sor8bnPfS4OHjxY3PZXf/VXcffdd5dsjl27dsWECRNiyZIlxW3l5eXx/PPPxwknnFCyeWi81rp2W2tfhx2+RfWwI9c4pdHa10BDnXHGGXHLLbcUx5s3b45HH3200ef76U9/mruNfvjw4XHWWWc1qUcAqI0QEQBK5JRTTsmN165d26Djq+//iU98osk9pbzxxhsxceLE3O1+V199dXz/+98v2Rz79++PK664Il577bXitn79+sW8efNiwIABJZuHpqm+1hqydvfu3ZsLanr27FmycLgpfR1t/1L/TFW/dbV6YEXTtda12RRXXXVVbjxv3rxGn6v6rcyuQgSgOXkmIgCUSK9evaJPnz7FL63vvvtu7N69O7p27Vqv4ysrK3Pj008/veQ9HrZixYoYP358bN++vbjtoosuipkzZ0a7dqX5f4yHDh2KSZMm5b4g9+rVK55//vkagStN15QXRlRfaw15c2z1592Vct02pa/du3fHH/7wh+K4b9++NZ6311SHb0s9rKHP6/uo+DCuzaao/ib6xr6pefPmzTF37tziuH379jFlypQm9QYAKa5EBIASOuOMM4r/XFVVFRUVFfU+9te//nVuPGzYsJL1daQ1a9bEn/7pn+au0Bk3blw8+eSTJXsYf5Zl8aUvfSmefPLJ4rZu3brFnDlzYsSIESWZg9I5ct1G1FyLKc25bpvS18KFC3PhVXP8PFW/tbY1XOX2YdNa12ZTVP/37L59+xp1nlmzZsWBAweK4/Hjx0e/fv2a1BsApAgRAaCEqj8j7X/+53/qddy6detyV82cdtpp8fGPf7yUrUVExMaNG+PCCy/M3RI4atSo+OlPf1rjqqqm+OpXvxozZswojsvKyuKZZ56JMWPGlGwOSmfMmDG5F04sWLCg3sFG9TX+Z3/2ZyXra/DgwbmrtiorK2P9+vUt3tdhCxcuzI379+9f8jk+6lrr2myK6mv4xBNPbNR53MoMwLEmRASAErr00ktz4//6r/+q13EzZ85MnqcUtm/fHuPHj4+33nqruG3o0KHx3HPPRY8ePUo2z7e+9a347ne/Wxx36NAhHnvssfjsZz9bsjkorbKyslzAsmvXrnj66afrPG7v3r3x4x//uDju2LFjXHzxxSXt7ZJLLsmNq/+s1Kb6z15z/Ew99thjufGf/MmflHyOj7rWvDYb68UXX8yNG/OsziVLlsTrr79eHB933HFx2WWXNbk3AEgRIgJACY0YMSKGDx9eHC9btiz3zKqj2bNnT42XmUyaNKmkfe3ZsycmTpwYixYtKm4bMmRIzJs3L3r37l2yee6///644447iuNCoRAzZszw5bYNmDx5cm48ffr0Op9l98Mf/jC2bdtWHE+YMKHkb7+t3tf3v//9Op89OGfOnFi+fHlxPHLkyJLfyrpgwYIaIeKECRNKOgcfaK1rszH2798f//qv/5rb1ph1U/0qxC984QtRVlbWpN4AoE5ZlimllFKtsiIiO7LaiieeeCLX98knn5y99957te5/66235va//PLLk+d/6KGHcvufd955yf3379+fXXzxxblj+vfvn61cubIxH69WjzzySFYoFHLz/Pu//3tJ52hN2ur6rE1VVVV25pln5j7T9OnTa92/srIy69mzZ3HfQqGQvfHGG3XOM3jw4NwcL730Up3HTJw4MXfMbbfdVuu+7733XjZkyJDc/k8//XTy/P/xH/+R7dixo84+Dlu6dGnWv3//3Bxjxoyp9/HNzdps/rW5cOHC7Cc/+UmDPsfevXuzK6+8MjfHwIEDs127djXoPAcPHsxOOumk3Hlee+21Bp2jJR1lfbb43zeUUkrVr1q8AaWUUqq2aqtfhKuqqrKxY8fmeh8xYkT229/+Nrfftm3bsptuuim3X+fOnbMlS5Ykz9/QEHHy5Mm5/bt06ZI9++yzWWVlZYNq69attc7x7LPPZh06dMjNc+ONNzZ4jrVr19b797mltdX1mTJ37txcEFwoFLK77ror27NnT26/X/ziF9nAgQNzn3/KlCn1mqMxIeLixYuzsrKy3HG33HJLtn379tx+ixYtyoYPH57bb9y4cfXq6fjjj89uvvnm7Je//GV24MCBo+733nvvZd/+9rezj33sY7k5ysrKsl//+tf1+vzHgrXZ/GvzqaeeyiIiGz16dPbd7343W716da377t27N5s9e3Y2dOjQGn82jz/+eL16O9LcuXNz5zjttNMafI6WJERUSqm2W4UsS98KAAAt5f99YSxqS//N2rBhQ5x99tmxYcOG4rZCoRCjRo2Kk08+ObZs2RILFiyInTt35o6bOXNmXHPNNclzz5gxI6677rri+LzzzouXX3651v0LhULjPkQ1//iP/xjf+ta3jvprU6dOrXF7XWMMHjw494KZ1qz672tbWp8pd9xxR40/5z59+sTo0aOja9eusXz58li6dGnu1z/5yU/GK6+8Et26davz/OXl5bF69eri+KWXXorPfOYzdR738MMPx9SpU3PbevToEeecc04cf/zxsXLlyvjNb36T+/WBAwfGwoUL63xjbfWeOnfuHMOHD49+/fpFz549Y/fu3bF69epYvHhxHDp0KHds+/btY9asWXH11VfX+RmOFWvz/2uutfn000/HFVdckdt24oknxrBhw6JXr17RrVu3eP/992PdunXx5ptvHvVlMHfffXfcfvvtdfZV3aRJk2L27NnF8be//e34h3/4hwafp6UcZX2W5j9SADS7Di3dAAB8GPXv3z9+9rOfxec+97lYsWJFRHzwRb6ioiIqKipq7N+5c+e477776gwQobl985vfjP3798fdd98dVVVVERGxadOmWp/t+elPfzoef/zxeoU0TXHttdfGzp074+/+7u+KgcyOHTvihRdeOOr+Q4cOjSeeeKLOAPFo9u7de9Sf0+oGDRoUs2bNij/+4z9u8Bw0XGtdm4dt3LgxNm7cWOd+J554Ytx///3x+c9/vsFzbN++PZ555pniuF27djFlypQGnwcAGsOLVQCgmQwfPjxef/31uP322+PEE0886j4dO3aMSy65JBYsWBA33HDDMe4QaioUCnHXXXfFz3/+8zj//PNrvZK1vLw87r777pg/f34MGDDgmPR20003xYIFC+KSSy6JDh2O/v/C+/btG9OmTYuKiop6v0zlG9/4Rlx22WX1eslQoVCIkSNHxve+971Yvny5APEYak1r8/zzz4///M//jCuvvLLWf78f6fC6+c53vhPLly9vVIAYEfH444/nXix0wQUXxKBBgxp1LgBoKLczA9BqteXbmas7ePBg/PKXv4zKysp49913o0ePHjFw4MAYO3Zs9OnTp6XboxE+rLeMVrdmzZqoqKiI9evXx549e6J///5xyimnxKc+9amS3SrfGBs3boxf/epXsW7dutixY0f069cvhgwZEueee26tAWN9rFu3LpYvXx5r166NLVu2xN69e6Nz587Rq1evGDBgQHzqU5+KXr16lfCTlJ61eezX5qpVq2LFihWxZs2a2LZtW+zbty+6desWPXv2jMGDB8eoUaPiuOOOO6Y9tVZuZwZou4SIALRaH6YQkQ+fj0pQQ9tjbdKaCREB2i63MwMAAAAASUJEAAAAACBJiAgAAAAAJAkRAQAAAIAkISIAAAAAkCREBAAAAACShIgAAAAAQJIQEQAAAABIEiICAAAAAElCRAAAAAAgSYgIAAAAACQJEQEAAACAJCEiAAAAAJAkRAQAAAAAkoSIAAAAAECSEBEAAAAASBIiAgAAAABJQkQAAAAAIEmICAAAAAAkCREBAAAAgCQhIgAAAACQJEQEAAAAAJKEiAAAAABAkhARAAAAAEgSIgIAAAAASUJEAAAAACBJiAgAAAAAJAkRAQAAAIAkISIAAAAAkCREBAAAAACShIgAAAAAQJIQEQAAAABIEiICAAAAAElCRAAAAAAgSYgIAAAAACQJEQEAAACAJCEiAAAAAJAkRAQAAAAAkoSIAAAAAECSEBEAAAAASBIiAgAAAABJQkQAAAAAIEmICAAAAAAkCREBAAAAgCQhIgAAAACQJEQEAAAAAJKEiAAAAABAkhARAAAAAEgSIgIAAAAASUJEAAAAACBJiAgAAAAAJAkRAQAAAIAkISIAAAAAkCREBAAAAACShIgAAAAAQJIQEQAAAABIEiICAAAAAElCRAAAAAAgSYgIAAAAACQJEQEAAACAJCEiAAAAAJAkRAQAAAAAkoSIAAAAAECSEBEAAAAASBIiAgAAAABJQkQAAAAAIKlDSzcAAPVVKBRaugWolfVJa2VtAgCl4EpEAAAAACBJiAgAAAAAJAkRAQAAAICkQpZlLd0DAAAAANCKuRIRAAAAAEgSIgIAAAAASUJEAAAAACBJiAgAAAAAJAkRAQAAAIAkISIAAAAAkCREBAAAAACShIgAAAAAQJIQEQAAAABIEiICAAAAAElCRAAAAAAgSYgIAAAAACQJEQEAAACAJCEiAAAAAJAkRAQAAAAAkoSIAAAAAECSEBEAAAAASBIiAgAAAABJQkSM7LXXAAADFUlEQVQAAAAAIEmICAAAAAAkCREBAAAAgCQhIgAAAACQJEQEAAAAAJKEiAAAAABAkhARAAAAAEgSIgIAAAAASUJEAAAAACBJiAgAAAAAJAkRAQAAAIAkISIAAAAAkCREBAAAAACShIgAAAAAQJIQEQAAAABIEiICAAAAAElCRAAAAAAgSYgIAAAAACQJEQEAAACAJCEiAAAAAJAkRAQAAAAAkoSIAAAAAECSEBEAAAAASBIiAgAAAABJQkQAAAAAIEmICAAAAAAkCREBAAAAgCQhIgAAAACQJEQEAAAAAJKEiAAAAABAkhARAAAAAEgSIgIAAAAASUJEAAAAACBJiAgAAAAAJAkRAQAAAIAkISIAAAAAkCREBAAAAACShIgAAAAAQJIQEQAAAABIEiICAAAAAElCRAAAAAAgSYgIAAAAACQJEQEAAACAJCEiAAAAAJAkRAQAAAAAkoSIAAAAAECSEBEAAAAASBIiAgAAAABJQkQAAAAAIEmICAAAAAAkCREBAAAAgCQhIgAAAACQJEQEAAAAAJKEiAAAAABAkhARAAAAAEgSIgIAAAAASUJEAAAAACBJiAgAAAAAJAkRAQAAAIAkISIAAAAAkCREBAAAAACShIgAAAAAQJIQEQAAAABIEiICAAAAAElCRAAAAAAgSYgIAAAAACQJEQEAAACAJCEiAAAAAJAkRAQAAAAAkoSIAAAAAECSEBEAAAAASBIiAgAAAABJQkQAAAAAIEmICAAAAAAkCREBAAAAgCQhIgAAAACQJEQEAAAAAJKEiAAAAABAkhARAAAAAEgSIgIAAAAASUJEAAAAACBJiAgAAAAAJAkRAQAAAIAkISIAAAAAkCREBAAAAACShIgAAAAAQJIQEQAAAABIEiICAAAAAElCRAAAAAAgSYgIAAAAACQJEQEAAACAJCEiAAAAAJAkRAQAAAAAkoSIAAAAAECSEBEAAAAASBIiAgAAAABJQkQAAAAAIEmICAAAAAAkCREBAAAAgCQhIgAAAACQJEQEAAAAAJKEiAAAAABAkhARAAAAAEj6P5jqDPSUXrkgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 179,
       "width": 648
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_1d_row(layer.weight[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-13T11:36:49.939231Z",
     "start_time": "2019-08-13T11:36:49.895182Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "b = layer(a[None])[0]\n",
    "b_grad = torch.FloatTensor(1, b.shape[1]).normal_(0, 1)\n",
    "b.backward(gradient=b_grad)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-13T11:36:50.530734Z",
     "start_time": "2019-08-13T11:36:49.942278Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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98MMPMmDAAMnKyjK8X7t2bWnevLlERETIuXPnZNOmTZKUlGT/+7Zt26Rr166yceNGU+0zCqdbbBZm4cKFlsQu9KBTfB48eNDpPZvNJk2aNJEaNWpI+fLlJTk5WTZv3ixnzpwxHEPv3r0lISFB+vTp49U6QU8vvfSSvPLKK4b3KlasKK1atZKIiAjZu3ev/Pnnn/a/bdiwQfr06SPr16+XiIgIn9cvJCREatWqJXXr1pWoqCgJCQmR8+fPy86dO+XkyZP29S5fviwjR46UtLQ0GTNmTKH7TU1NlVtvvVW2bt1qeL98+fLStm1biY6OllOnTsnGjRslIyNDREQuXLgggwYNkuXLl0u3bt28e6AllE7tZq4rV65Ir169ZOfOnYb3mzZtKo0aNZLLly/Lli1b5Pz58yJyrR9rypQpEhYWJs8995zb5eh+7qFkx6eISEJCggwZMsTeBuaqWbOmNGjQQGJjYyUlJUWOHj0qu3btcrqGgn/o3LZs2LBBevXqJRcvXjS8X6VKFWnSpIlUrlxZMjIy5Pjx47Jz505JS0vzaP9Wnh8oGp3j05WsrCwZNWqUvQ+0qNavXy9r1671Uq1QFDp+BocOHZJvv/3W5+WsWbNGevbsKenp6Yb3mzZtKg0bNhSbzSZ79+41jFX+/PPP0rNnT/nll18kMjLS53VEwXRsOwOlD93sWCqc6Zr/4Yqv+pMYS/USKzO+pBhlQs6ZM8d+HDVr1lRTpkxRu3fvdrnu/v371Z133umUbff66697vV5Lly61779SpUpqwoQJasuWLS6n1zxx4oR64IEHnOo1btw40/U4cOCACgsLUyLXHnnoOC2ebgI1NnNyclT79u0NdY+Pj3ea8i8pKUk99thjhvXCwsLUrl27vFqfs2fPqsTERI9fLVq0MNTN7J2VDz74oH1fjnd/MBOWNXSLTaWUev311w3l2Gw29cwzz6ikpCSndffu3au6du1qWD8kJET9+eefhZaTd5uBAwd6dC5cvHjR68ftS4EYm0rpGZ/53cUQERHh9GjhorZjV65cUdWqVTPsq169emrNmjVO62ZmZqq5c+c63fUxbNgwk0dqDWLTGufPn1eVKlXK9zu3qDNhjR8/3qO2MyUlxbcH6mXEp3e0atXK/n3etWtX9dlnn6lz5865rPeSJUuc2r/w8HC3puMuSfEZqLFZkOXLlxvu7LfZbOqVV15RaWlphvXWrFnjFCP33XefT+o0e/ZsFR8fr1544QW1atUqlZqamu+6GzZsUDfddJOhXqVLl1Z79+4ttBzHO2vDw8PV3Llzne7KTE5Odjpno6Ki1JEjR0wfqzcFYnzq1m7muueeewxlVa9e3emRVampqWrKlClO58/KlSvdKkPHc89XAjE2lSrZ8amUUj///LPT45n69u2rtm3b5nL91NRU9c0336jBgwerxx57zNQxWiVQY7MgOrct+/btc5rZumPHjurnn39WOTk5TutnZWWplStXqgcffFD179/frTKsOj+sQHzq8d03ZcqUfK/nPZmZaPz48U6fae5vSsdjZSYs39DxM0hISHBZp9DQUFW3bt0ix1tep06dcpppq2XLli4fC7Z582anmQrdbX91EajxWRAd204r+tB1GUv1luIUm7rmfyhlXX+SVWOpVnARm9blRVlaWDE7CRs0aKC++OILt58fPHr0aKcfQMnJyV6t19KlS1VcXJx655133H727Kuvvup0chw4cMBUPfKecOPGjXMaQNZNoMbm4sWLDfWuXbu2unDhQr7rjxs3TrsfmQcPHnT6EV7QMRRm7dq19h9tERERavLkyYb9k4RlDd1iMycnx+mH8+TJkwvcJisrS916662GbR544IFCy/LGBWSgCMTYVEq/+FTqWhJWqVKl1A033KBGjx6t3n//fbVjxw519epVNX/+fK+0Y++8845hP3FxcYVOV7xixQqnC2HdBmVdITatkTeZ/84771SdOnUy1KeoSViB+F3tCeLTO9q0aaMGDRrkVueBUkqdPHnS6ZpkxIgRhW5XkuIzUGMzPzk5Oap58+aGY5o9e3a+6//1118qKirK8J2X32C8GZ5OTZ+Zmen0SMHCfpNu2rTJsH5QUJD68ccfC9zmxRdf9Pj8sFIgxqdu7aZS1waf8pYRHR1d4Pe1Y+frDTfc4DKZIC9dzz1fCcTYVKrkxqdS15JUHAd/3377bbfr6ctHjHhToMZmfnRuW3JycpwGuSZOnOj29u7ElFXnh1WIT/9/9+3fv99+E31QUJCaOXOmof6eJmGVKVNGtW/fXo0bN0598sknau/evSonJ0dNmjTJsF+SsHxDx88gISFBBQUFqaZNm6qRI0eqt99+W23atEllZGSo1atXFzne8ho7dqxhP/Hx8QWOuSYnJ6v4+HjDNq4Sa3QVqPGZH13bTl370L09lupNxSk2dc3/UMqa/iQrx1Kt4CI2ScLS3YkTJzwO9oyMDFW7dm3D/8Gnn37q1XqdOXOmwMzH/DheKL766qtFrsNHH31k30/VqlXVxYsXScLyEccfjMuWLStw/ZSUFKfPwt+dm46d/YMHDy7yvjIyMlSjRo3s+5o5c6bXkhf8KRDjU7fY3L59u2HfVatWVRkZGR5vV6VKlUK38cYFZKAIxNhUSr/4VEqpCxcuqPT0dJd/81Y71q9fP8N+5syZU6Tt5s2bV6TyrURs+l7epOfw8HB1+PBhkrDcRHx6R1E6s1auXGmoT2RkZKG/B0pSfAZqbObHMcGgXbt2hQ4+vvXWW4Zt+vXrZ1FtC5aYmGjo0K1YsWKB6999992G43BntuurV68a7gwPDg5W+/bt89YhmBaI8albu6mUUn369DHsv7DEk5ycHNW2bVvDNl9//XWB2xSnc88dgRibSpXc+FRKqYkTJxq2eeGFF7x1CFoJ1NjMj85ty7x58wzl+GJmDqvOD6sQn/7/7uvSpYu97LFjx5pKijlz5ky+Y2UkYVlDx8/g0qVL6sqVKy7/5o0krAsXLjg9gWfLli2FbueY1HrzzTd7XLa/BGp85kfXtlPXPnRvjqV6W3GKTV3zP4rK0/4kK8dSreAiNi3LiwoSFElcXJyEhIR4tE3p0qVlxIgRhvfWrVvnxVqJxMbGSpkyZTzebtSoUYblotbr/Pnz8vTTT9uXZ82aJeXKlSvSvlCwnTt3ys6dO+3LjRo1kp49exa4TXh4uDzyyCOG9z799FOf1M8dSin55JNPDO8NHz68yPubOnWq7N27V0REmjVrJk888YSp+qFodIzNw4cPG5Zvu+02KV26dKHbtWjRQmrUqGFfPn36tMvnQSNw6BifIiIxMTESGhrq1X06cjwPevfu7dZ2ffr0MSwfOnTIW1VCHrrGpiuZmZkyevTo3Jss5MUXX5SaNWv6vFz4j47xed1113m8Tbdu3aR27dr25cuXL8u2bdu8VifoxTHennjiCbHZbAVu88ADD0h0dLR9+bvvvpOLFy/6pH6eqFWrljRs2NC+fO7cObl8+bLLdXNycuSHH34wvDd+/PhCywgODpbHH3/cvpydne3Xa8VAp2O7mZSUJN9//719OTo6WkaOHFngNjabzem6euHChQVuU5zOveKqJMdnUlKSzJ49275ct25def7554tQY1hN17YlOztbJk+ebF+OiYmR119/3atlWHV+oOh0jc/8fPTRR7Jq1SoREalcubK88sorpvYXGxvr8VgZvEvHzyAyMlIiIiJ8tv/Vq1dLWlqaffmWW26RG264odDtWrVqJR07drQvr1+/XhITE31SRxRM17ZTxz50b4+lIn+65n8UlSf9SSKMpXoTSVgWa9GihWH55MmTfqqJkbfq9fTTT8u5c+dE5NqJeffdd5uuG1xbunSpYfnee+91a7thw4YZlv/zn/94rU6eWrduneEHbpUqVaR79+5F2te+fftk6tSpInKto2HevHnaXXiUFDrGZkpKimG5evXqbm/ruG5ycrJX6gT/0DE+rVLU8yDvj2cRzgFfCaTYfPXVV+1Jz02aNJGnnnrK52XCvwIpPguj6/UYvCszM1NWrFhhX46IiJB+/foVul1YWJgMGDDAvpyVlSXLly/3SR09FRMTY1i+cuWKy/V27dpl+K6uW7eu1KlTx60yunXrZlhOSEjwsJbIpWO7uXz5crl69ap9+a677pKwsLBCt+vXr5+Eh4fbl3/44QfJzMx0uW5xPPeKo5IanyIiCxYskPT0dPvyuHHjfH4zDMzTuW1ZtmyZ4ffkiBEjpGLFil4tw6rzA0Wjc3y6cu7cOXnmmWfsy6+//rpERUX5vFzA29avX29Yvu2229ze1vG65+uvv/ZKneA+ndtOHfvQvTmWCt/Qub/R3f4kEcZSvYkkLIs5JoVkZWX5qSZG3qjX6tWr5aOPPhIRkdDQUHnrrbe8Uje4tnLlSsNy3uz9gtSoUcMwW8W+ffvk6NGjXq2bu3LjJdewYcMkODi4SPsaPXq0ZGRkiIjIyJEj5aabbjJdPxSNjrFZuXJlw3Leu2QK47hu3jstEHh0jE+rFPU8cFzP8Uc7vCNQYnPfvn0ybdo0+/LcuXOlVKlSPisPegiU+HSHrtdj8K6NGzcaOpVuvPFGtwfZHePbMf795dixY/Z/lypVSipUqOByPceOvsaNG7tdxnXXXWe4W33Hjh1y6tQpD2sKET3bzaLWKSwsTNq0aWNfvnTpkvz2228u1y2O515xVFLjU0Tkww8/tP87ODhYhgwZ4llF4Rc6ty15Y0pE5L777vPq/kWsOz9QNDrHpyt5b6Lv0qWLDB061OdlAr5g5rqnSZMmhuW8sw3CGjq3nTr2oXtzLBW+oXN/o7v9SSKMpXoTSVgWc5x+0DGY/cVsvTIyMgzTkk+cOFHq16/vlbrBtd27d9v/HRQUJK1bt3Z723bt2hmW//zzT6/Vy12pqamyePFiw3uO0zW664MPPpC1a9eKiEiFChVk+vTpZqsHE3SMzdatWxumzNy+fbtb26WlpdlnexG59piGvHcRIvDoGJ9WcUxOdfc82Lp1q2HZnam94blAiE2llCHpefjw4XLLLbf4pCzoJRDi0126Xo/Bu/LGrMi1Dl13Ocas4778Yd26dXL8+HH7crt27fKdDv7ChQuGZU9nNnBcX4fjD0Q6tptWnBfF7dwrrkpqfF6+fNlwDRQfHy+xsbEe1BL+onPb8vPPP9v/HRMTIy1btvTq/kX0Pn4E1uezatUq+fjjj0Xk2qOT3n77bZ+WB/iSmesernn8T+e2U7c+dG+OpcJ3dO1v9KQ/SYSxVG8iCctijtNaetLR4Utm6/Xyyy/L/v37RUSkXr16MnHiRK/VDc6SkpLk7Nmz9uXKlSt71JjVrl3bsLxv3z6v1c1dCQkJhufO3nDDDdKsWTOP93P27Fn529/+Zl+ePn2616f9hvt0jc2oqCjD41HXrl3r1o/z9957z/CoAsfHLxTmjz/+kHvuuUfq1asnkZGREh4eLjVq1JD27dvLhAkTZM2aNR7tD+boGp9WeeCBBwx3yLjT2ZaWliYffPCBfblcuXLSu3dvn9SvJAuU2Myb9BwTEyMzZ870STmrV6+Wfv36Sa1atSQ8PFzKli0rNWvWlE6dOsmLL74omzdv9km5cC1Q4tMdR44cMXQehISEOE0XXhjiMzA4xpm7j+MTEalVq1aB+7La4cOHZeTIkYb3xo8fn+/6jncP5ybOuivvb18RkT179ni0PfRtN/Pux2azOZXjjToVp3OvuCrJ8bllyxbJycmxL7dt29b+740bN8ojjzwizZo1k6ioKClbtqzUrl1b+vTpI3PmzJGkpCS36wPv07VtOXz4sOF8uvHGG8Vms4nItccDP/PMM9KyZUupUKGClClTRq677jrp2rWrzJgxQ06cOOF2OVacHyg6XePTUXp6uuEm+gkTJkjDhg19Vh7ga2auexyveU6cOCGXLl3ySr3gHp3bTt360L01lgrf0jH/w9P+JBH/jaUWRyRhWWjXrl2GAXebzSZ9+vTxX4X+vzNnzsiXX35peO+OO+5we/s///xTZsyYYV9+88033XouPYrOMaPW8VnDhXF8LuvBgwdN18lTjtNnDh8+vEj7efLJJ+13PXTo0EEeeOAB03VD0ekcm9OnT7dnn+e0qlztAAAgAElEQVTk5MigQYMK7PT66aef5Nlnn7Uv16hRo9AfKI62b98uixYtkkOHDsmVK1ckLS1Njh8/Lr/++qvMnDlTOnfuLDfeeKPhzkn4js7xaYUGDRrI888/b19etGiRvP766/mun5qaKkOGDDHcKTFlyhQpW7asT+tZEgVCbJ45c0YmTJhgX542bZrPZg5Yt26dfPPNN3LkyBFJS0uTlJQUOXr0qKxbt06mTJkibdq0kdtuu0127drlk/JhFAjx6a4333xTlFL25Y4dO3o8NTbxGRjMxG1YWJjhpo7k5GQ5f/681+pWmOzsbDl//rysX79eJkyYIPHx8fLXX3/Z/z506FAZOHBgvts7PvLg9OnTbpednp4uFy9eNLx34MABt7fHNTq2m+fOnTMMLMXGxrr9uA9P6hTI515JUZLjc9u2bYblBg0aSHJysgwbNkw6dOgg77zzjuzevVsuXbokKSkpcvjwYfnuu+9k3LhxUqdOHZk1a5YHRwVv0rVtcRVT6enp8tRTT0nz5s3ltddekz/++EMuXLgg6enpcuzYMVm1apU8++yzUq9ePXnuuefk6tWrBZZh1fmBotM1Ph29/PLL9t91derUkeeee84n5QBWMXPd42pd2kdr6dx26taH7q2xVPiOLvkfZvuTcvljLLU4IgnLIkopGTt2rKHTv1+/flKzZk0/1uqaZ555xvDs3RtuuMHtR8vkPpYmMzNTREQGDx4s3bt390k98T+OHeOeDoI6ru+4P187ceKE/PTTT/blUqVKFen58ytXrpSFCxeKyLWZDObOnWu/4wz+oXNsVq1aVX788Uf7XRV79uyR+Ph4ee6552TNmjWyf/9+2b17t3z99ddy7733Svfu3e3PMK5UqZJ89913EhkZ6bX65Nq0aZN06dKFDl0L6ByfVnnppZdkwoQJ9rby6aefli5dusgnn3wif/zxhxw8eFB+/fVXee211yQ+Pl6++eYb+7ZjxoyRcePG+avqxVogxGbepOd27drJww8/7PUyPPHjjz9K27ZtZdGiRX6tR0kQCPHpjj179sicOXMM7z3xxBM+KYv49L9Aitvvv/9ebDab/RUSEiIVK1aUjh07ysyZM+3X6jabTR5//HGnDlhHjRo1Mixv27ZNsrKy3KrL1q1bJTs72/BeIP7e8Tcd48+qOul47DDS8TOyqk6OA65ly5aVW2+9VT799NNCy0hOTpannnpKRowYYZhNC9bQMW5FnGMqNjZW+vbtK7NmzTKMAbiSnp4uU6dOlTvuuENSU1PzXU/XY8f/BMJn5Oom+jJlyni9HMBKjtc9v//+u9vbbtq0yek92kdr6d526tKH7q2xVPiOP/M/vN2flEvXsdRAE+LvCpQUM2bMkHXr1tmXw8LCZPr06X6s0TWLFi2STz75xL5ss9k8SgT497//LevXrxcRkcjISJIILJI3aU5EPJ55zPEiy3F/vvbJJ58YOq169+7t8SME09LSZMyYMfbl8ePHS/Pmzb1WRxSN7rHZrFkz+eOPP2TOnDkyf/58OXDggEydOlWmTp3qcv3g4GAZPHiw/POf/5S4uDi3ywkNDZXOnTtLt27dpHnz5lKlShUJCwuTpKQk2bFjhyxdulSWLl1q/2F29epVeeqpp6RcuXLy4IMPeuVY4Uz3+LTK9OnTpX///jJ9+nT5/vvvZfXq1bJ69ep8169Zs6ZMmTJF7rvvPgtrWbLoHpsrVqywD04FBwf7LOk5IiJCbr/9dunSpYs0a9ZMYmNjpVSpUnLu3DnZunWrLFmyxBCrqampMmzYMImJiZHbb7/d6/XBNbrHpzsyMjJk6NChhscTdOnSRe68806390F8BpbiELe5goODZcSIETJ+/HiJj48vdP24uDipU6eO/W7HlJQUWbp0qQwYMKDQbT/77DOn9wL1944/6Rh/VtVJx2OHkY6fkVV1Sk5ONixPnjzZfkd3aGiojBo1Su644w657rrr5MqVK7Jp0yZ5++23ZefOnfZtPvroI6ldu7ZMmjTJozrCHB3jVsQ5pt555x17TAUFBcl9990ngwYNkjp16khGRobs2LFD3n33Xfnll1/s23z//fcyduxYmT9/vssydD12/I/un5FSSkaNGmVPyh84cKD07NnTq2UA/tCxY0fD8pIlS2TOnDlSunTpArfLyMiQJUuWOL1P+2gt3dtOET360L0xlgrf0jX/Q8Tz/qS8rBpLLc5IwrLATz/9ZJi6UOTa9K/169f3U42u2b17tzz00EOG98aOHev2LFj//e9/DdPLTZkyhRPLIikpKYZlT3+gOK7vuD9f+/jjjw3LRZk+c/LkyfYpS6tXry7/+Mc/vFE1mBQIsZl7d39h07cHBQXJY489Jk8++aRHbdvUqVNl1KhRUr58eZd/v/HGG+Whhx6SrVu3yuDBgw1T7z766KNy8803S8OGDd0uD+4LhPi0SmZmppQqVUpCQgr+KdiwYUOZOnWq9O3b16KalUw6x6Zj0vPjjz8uLVu29Nr+Ra4lt7z55psyYsQIiYiIcPp7gwYNpEOHDvLYY4/Jjz/+KMOGDZMzZ86IyLU2/Z577pGDBw/m2+7CHJ3j012PPPKIbN++3b4cGRkp7733nlvbEp+BqTjEba7s7GxZtGiRKKXk+eeft9+JWJAhQ4bIK6+8Yl9+4YUXpHfv3gX+/t2/f7/L84LBCM/pGH9W1UnHY4eRjp+RVXVynCEhN1mmatWqsnLlSmnatKnh761atZKHHnpIxo4dK++++679/cmTJ8vAgQOlWbNmHtUTRadj3IrkH1ORkZGydOlS6dSpk+HvLVu2lPvvv19efvlleeGFF+zvf/jhhzJ48GCXiTG6Hjv+R/fPKG/iX9myZWX27Nle3T/gL+3bt5eaNWvKkSNHROTa41unT59uaF9dmT59ustH13HdYy3d285c/u5D98ZYKnxH1/yPXEXpT3LcXsR3Y6nFHY8j9LG9e/fKoEGDDFP69+nTR5566ik/1upaAlWfPn2cHkM4c+ZMt/cxfvx4+x0/LVu2lMcee8zr9YR7PJ2NwnH9wqbI9qZNmzbJnj177MsVK1aU3r17e7SPnTt3ymuvvWZffuONN7z2fGV4l26xuWzZMqlfv74899xzsmvXrgLXzcnJkTfeeEPq1asnjz/+uH06zcJMnDjRrYHWG264QTZs2CDXXXed/b3MzEwSCi2kW3xa4fLlyzJkyBDp1KmTfPnll4V2MOzbt08GDBggjRs3NtzRAd/SKTZfeukl+2wqcXFxMnnyZK/tO1dsbKyMHTvWZYKLo27dusnatWslKirK/l5SUpJHv2Fhjk7x6Y4ZM2bIhx9+aKjPe++9J7Vr13Zre+KzeNA5bjt16iSJiYn21759+2TDhg3y1ltvSbdu3UTk2oDABx98IM2bN3c5W5Wjxx57zHBn8J9//ilDhgyR9PR0l+sfPXpU+vTp4/LvPO7dPB3jz6o66XjsMNLxM/JVnVw9RjAoKEiWLFnilICVKyQkRObNm2dIpsnJyeG73c90idv8Hk35/vvvOyVg5fX3v/9d7r//fsN706ZNc6tMXY4d+dPpMzp9+rRMnDjRvvzSSy9J9erVvbZ/wJ9CQkKcxllfeuklWbhwYb7bLFiwIN9+La57/EuntlNEjz50b4ylwnd0yP/wRX9SLivGUou7Ej0T1uHDh91aLzo6WqKjoz3e/8mTJ6VHjx6SlJRkf+/GG2+Uzz//3K9f6JcvX5ZevXoZjr9OnTry3XffuZ1tvHz5clm0aJGIXPuymzdvngQHB/uiunDBcRDI0wbNcX0rE5gcnzk7dOhQKVWqlNvbK6Vk9OjR9imUe/Xq5dajNWANnWMzISHB6UdRmzZt5PHHH5eOHTtK1apVJSsrSxITE+X777+X2bNny8mTJ+Xq1avy5ptvyubNm2XFihVefZZxpUqV5N///rd0797d/t6XX34p8+bNMwzgwjt0jk8rpKenS8+ePQ2PPggPD5dHHnlEBgwYIE2bNpWIiAg5f/68bNmyRT744AP79Nz79++XLl26yIIFC+See+7x1yEUW7rGpmPS8+zZs7V4nnujRo1kxowZMnr0aPt777//vrz66qt0mvmArvHpjgULFhgGHUSu3fU6ePBgn5VJfHqPmev1QIrbMmXKSK1atZzeb9++vTz66KOydu1aGTJkiJw6dUpSUlLk3nvvlfDw8ALvsK1SpYrMnj3bEIcJCQnStGlTefzxx+Xmm2+WqKgoOXXqlCxfvlzeeustuXz5sohcS7g9efKkfbui9IWUdDrGn1V10vHYYaTjZ+Sv+BS59liudu3aFbh/m80mM2fOlBtvvNH+3uLFi+W9997zqD+rpCuO3+uuYqpNmzYyaNCgQredNm2afPrpp3L16lUREVm3bp2cPHnSafYAXY+9uCmO8SlivIm+efPmMm7cOK/tG9DB2LFjZfHixfLzzz+LyLVZW+6991754osv5P7775dGjRqJyLVkiY8//lj+85//2Lfluse84tp26tKHbnYstSQrKfkfvuhPEtFzLDUQlegkLHfvfp40aZLHM5MkJSVJ9+7d7VNhiog0adJEli1b5tZd1L6SkZEhffv2la1bt9rfy512u0qVKm7tIzU1VR599FH78qhRo6Rt27Zeryvy5xhD+d3RnB/H9a26AM/MzJTPP//c8J6n02fOnTtXNm7cKCLXvmDefPNNr9UP5ukamydOnJCRI0cafjRMmDBBpk6dKkFB/5sUMjQ0VOLj4yU+Pl4efvhh6d+/v6xZs0ZERH799VcZPXq0fPrpp16pU67bb79dmjVrZs8mz87OljVr1vD4Nx/QNT6t8sILLxguHmvUqCErVqywd0jkqlKlivTu3Vt69+4tixcvliFDhsjVq1clOztbRowYIU2bNvX4GeIomI6xmZOTI6NGjbIPCnTv3t2twQSrjBw5UiZOnGi/2D179qzs2LFDWrRo4eeaFT86xqc7li1bJiNHjjTcDfnss8/K3/72N5+XTXx6h5nr9UCNW1c6deokK1eulDZt2khaWprk5OTIQw89JF26dCmwQ2vUqFFy8OBBw2wtf/31lzz55JP5blOrVi2ZMmWK3Hffffb3GIzwnI7xZ1WddDx2GOn4GVlVJ1fvDxkyxK0y2rRpI/Xr15cDBw6IyLW+0S1bthSawIX/KY7f62ZiqmrVqtK5c2dZuXKl/b1169Y5DdjqeuzFTXGMz2XLlskXX3whIteSSefOnVvo47SAQBMcHCyLFi2SHj16yI4dO+zv/+c//zEkXDl69NFH5cKFC4axKq57PFcc204RPfrQvTGWWpKVxPwPV4rSn6TzWGqg4XGEPpCSkiK9e/c2TM9Wq1YtWbFihVSoUMFv9crOzpYhQ4bI6tWr7e/FxMTIDz/84NFzQCdNmmTPIo2NjZWpU6d6u6oohOMMOefOnfNo+7Nnzxa4P1/59ttvDc/bbtasmdxwww1ub3/q1Cl57rnn7MvPP/+821+msIausTlr1iy5ePGifblXr14yffp0w48GR9HR0ZKQkCCVK1e2v/fZZ5/Jpk2bvFKnvHKnBs1V2PSeKBpd49MKZ8+eNSSt2mw2+fLLL50uHh3dddddhmm6MzIynGaVgXk6xubcuXPl119/FRGRsLAw7ZKeS5Uq5fSID9pO39AxPguzfv16ueuuu+xJhCIiDz/8sNuPeTGL+PS/QIzbgjRt2tQwc8G5c+fkk08+KXS7GTNmyPz586VSpUqFrturVy/ZuHGjfcbhXHl/C8M9OsafVXXS8dhhpONn5K/4FBHD7FaFcVx37969bm8Lc3SM2/z24+2Y0vXY8T86fkYpKSmGm+gffPBB6dChg+n9AjqqWrWqrF+/XkaMGFFgX7/ItaSBmTNnypw5cwyzYIlw3WM1HdvO3P3q0IdudiwVvqFr/kdBPO1P0n0sNZCQ+u5lmZmZ0r9/f/tMPSLXsmFXrlwp1apV81u9lFLy0EMPSUJCgv29iIgIWbZsmUeZuCkpKTJ79mz78vjx4+XixYuGE9KVvAMgIs5TAcbFxUnp0qXdrkdJV69ePcPysWPHPNrecf26deuarpM7HKfP9DRz+1//+pc91uLi4mTQoEGFTivp+OMtOTnZsE14eLhbgxJwj66x+dVXXxmW/+///s+t7aKjo2Xs2LHy4osv2t9bsGCBtGnTxiv1yuU4ZajjRQS8Q9f4tMKyZcsMdwh16dLF7Vksn3jiCXnllVckJSVFRK49kvj8+fPaXlgEIh1j8+WXX7b/e8SIERISElLod67jXWjHjx83LFeqVEnCw8NN1y0Xbac1dIzPgmzbtk369OljmJp+8ODBMm/ePJ+W64j49C/HOPMkbtPT0w2fV1RUlBbfeYMGDZLp06fbl1euXGkYXMvPiBEjZNCgQbJw4UJZvny5bN++3X581atXl7Zt28r9998vXbt2FZFrj0/I6/rrr/fiUZQMOrabsbGxUq5cObl06ZKIiJw5c0YyMjIkNDTUq3UqjudecVOS47N+/fpO77n7VABX6164cMHtbWGOrm2LFTFl1fmBotMxPhcsWGCfoSMiIkIeeeSRQq/nT58+bVi+cuWKYZvSpUs7PS4T0EVkZKTMnz9fJkyYIJ999pn8+OOPkpiYKBcuXJCoqCipWbOm9OnTR0aMGCE1a9YUEeN1T3R0NDf7W0zHtlNEnz50s2Op8D5d8z/c4Ul/ku5jqYGkRCdh5X00hTfkzjSVdxrhmJgYWbFihVMnh9WefPJJ+fDDD+3LoaGh8vXXX3s8bXZWVpYhoervf/+7/P3vf/e4Po4/aLZt2yYtW7b0eD8lVUxMjMTGxtp/aJw+fVpSU1PdHthMTEw0LBeWxe0N586dk+XLl9uXg4OD5d577/VoH3kH006ePCkNGzb0uB5vvPGGvPHGG/blvn37ytdff+3xfuCajrHp2GkQGhoq7du3d3v7W2+91bDsi+ztMmXKGJY9fQY63KNjfFpl586dhuXOnTu7vW2ZMmWkbdu2smrVKhG59vtpy5Ytcvvtt3u1jiWZjrGZtx2aN29ekRJYOnbsaFhOSEiQfv36ma5bLtpOa+gYn/nZt2+fdO/e3XCDSI8ePWTBggWF3hHrbcSneWau1x3j7K+//nJ7W8cBKl2+7x0Hej05poiICBk1apSMGjWq0HV/++03w3Lr1q3dLgfX6NpuNmzY0H4to5SSw4cPu31N7W6diuO5V9yU5Phs3LixYTk4OFiCg4PdrqNj0ktGRobb26J4fq87xpSIc5wUxN2YsuL8KOmKW3zmvfZISUkp0u+5r776yjAQ26JFC9m+fbtX6gf4SuPGjWXy5MmGGYlcOXr0qCHxsFWrVr6uWrFU3NpOET360L0xllrSlaT8D3e4258UCGOpgYTHEXpJ7kxTS5Yssb9XlJmmfOHFF180JJ0EBwfL559/7vT4KwSWpk2b2v+dk5Mjmzdvdntbx471Jk2aeK1e+fn0008Nj7bo3r27R3eHIXDoFpuOM/VVqFDBo45Wx6mIPZ0a1x2O++SOb9/RLT6t4ngeeDoDoBXnQUlXUmPTDNpO6wRCfB49elRuu+02w92QHTt2lCVLlkipUqV8UmZBiE//yhuzIs5xWBBd21THOPbF4H9qaqr8/vvv9uXatWtL9erVvV5OSaBju2nFeVEcz73iqKTGZ5MmTQxJ2dnZ2faZCtyRnJxsWC5fvrzb28IcXduWSpUqOV1bF/a0iLzcjSldjx/X8PkAgWf16tWG5VtuucVPNSm5dG07dehDZyxVLzrnf7jL3f6kQBhLDSQkYXmJq5mmvvnmG49nmvK2WbNmyZQpU+zLNptN5s+f79VZCOAfjkl0P//8s1vbHT9+3JDJ2rBhQ7nuuuu8WTWXmD6z5NAtNsuVK2dY9qST1dX6ZcuWNV0nR44Z4Uzv7Tu6xadVAuE8KOlKamyaQdtpHd3j88yZM9KtWzfD9PWtWrWSb7/91mlGKqsQn/7Vrl07w3fV77//7nbSkmN86zLz44kTJwzLvnik+uLFiw3f+SNGjPB6GSWFju1mUeuUnp5uaNMiIyPz7esqjudecVRS47Ns2bLSoUMHw3t//vmn23V0XFf3x44UJzq3LY7780VMWXF+oOh0jk8AruUdq7LZbHL//ff7sTYlk65tpw596Iyl6kXX/A9PuNufpEP8FyckYXnBP/7xD8NMUyEhIbJo0SLp2rWrH2slMn/+fHn66acN782ZM0fuu+++Iu8zOjpalFIev3Kfs5zL8e88itBzd955p2F54cKFbm23YMGCAvfjC7t27ZKtW7fal6Ojo6Vv374e72f27Nkex978+fMN+5g0aZLh7zyK0Pt0i83IyEjDl/3Fixfl6NGjbm/vONW2Yza3WRcuXJAff/zR8B533/iObvFpFcfB/x07dni0va/PA+gXm8nJyR5/53bq1Mmwj8TERMPfvXkTwN69e+WPP/6wLwcHB8tNN93ktf3DSLf4zOvixYvSvXt3OXDggP29xo0by/fff+/UeWAV4tP/QkNDDR2xKSkpbv3uT09PNzx2pVSpUtKzZ0+f1NFTP/30k2G5bt26Xt1/dna2zJo1y74cFBREEpYJOrabvXr1kpCQEPvyV199Jenp6YVu9/XXXxs6U3v06CGlS5d2uW5xPPeKo5IanyIi/fv3Nyw7Xovn59KlS4aZAm02m1NCF3xH57alqDGVk5Njf1xRrvx+L1p1fqBodIzPJ554wuPreceZgYYPH274O48iRHGxefNmWbNmjX25a9euUqtWLb/Vp6TSse0U8X8furfGUuEduuZ/eMrd/iTdx1IDDUlYJv3rX/+Sl156yb5ss9nkww8/9HujmJCQIA8//LDhuaevvvqqjB071o+1gjfFx8dLs2bN7Mt79uwxPCfYlbS0NJk3b57hvSFDhvikfnk5Zm7fc889Ehoa6vNy4R86xmbHjh0Ny47JeQVxXNfbg6iTJk2SK1eu2Jdr1KghzZs392oZ+B8d49MKjudAQkKC249JWLVqleHHdnh4OMnTPlBSY7MolFIyYcIEw+/c9u3bS0xMjB9rVbzpGp9paWnSp08fw0V+7dq1ZeXKlVKxYkWvluUu4lMfQ4cONSzn3tBRkA8++MDwaKDevXtLVFSUT+rniczMTPnnP/9peK93795eLWPOnDmGc+nBBx8sMTMr+oKO7WZMTIz06NHDvpyUlFTodZFSSmbPnm14b9iwYQVuU5zOveKqJMfn4MGDDUko7777rlvJLP/+978lNTXVvty2bVseR2gxXduWHj16GH53fvbZZ3LmzJlCt0tISDBcZ8fFxUmLFi1crmvV+YGi0zU+ARhlZWXJo48+aj8/bTabTJo0yc+1Krl0bDv93YfOWKo+dM3/8JSn/Uk6j6UGnKLMalTUl4iovK9A9/HHHyubzWY4prffftvr5dSsWdNQxurVqwtc/6efflKhoaGGbZ599lmv18sTjsegm0CNzcWLFxvqXadOHXXhwoV81x8/frxh/X79+hW4//nz5xvW79Spk8d1vHr1qqpataphPxs3bvR4P0XleAyTJk2yrGxvCcT41C0233vvPcP6ZcqUUb///nuhxzF79mzDdjabTe3YscPluvv27VPffvttofssaP8ioubOnevRPvwpEGNTKf3iszDeaMeys7OdvosHDx6ssrOzC9zu7Nmzql69eobtBg4cWMQjsQ6x6Zq3Y9NRp06dDPtPTEwsdJtff/1VrV+/3u0ysrOz1VNPPeX0GS9fvtxEza1FfLrmaXxmZmaqnj17GraJi4tThw4dKsrhuVTS4jNQYzM/OTk5qnnz5oZjmj17dr7rJyYmqqioKMPvvm3bthVajifX65s2bVJLly716DjS09PVwIEDDWVUr15dpaSkFLhdVlaW22UsWrRIBQcH2/dfqVKlAs9vfwjE+NSt3VTqWgzm3SY6OlodPnw43/VnzZplWP/6669XOTk5BZZh1bmni0CMTaVKbnwqpdS4ceMM2z366KMFrr9jxw4VERFh2Oarr74qtBx/C9TYzI+O3+u5Xn/9dcM2d9xxh7p69Wq+6x87dkzFxcUZtnnttdcKLMOq88MqxKd18emu1atXG/Y9fPhwr+x30qRJhv3Onz/fK/v1leIWm0p55zNwjI+aNWuaqpM3483d657MzEw1YMAAQ7kPPfRQkcv1h+IWnzq2nf7sQ/f3WKoZxS02dcz/sKo/yYqxVCu5iE3r8qIsLawYnYTfffedCgkJMRzP2LFjVWJiokevY8eOFVqWJyfhli1bVNmyZQ3r9+3b1+N6uTNo5gmSsHwjJydHtW/f3lD3+Ph4p4YtOTlZPfbYY4b1wsLC1K5duwrcvzcGa5cvX27YR8OGDT3ehxkkYfmHbrGZmZmp6tata9gmIiJCvfnmmyotLc1p/VOnTqlHH33U6f9+8ODB+ZaRe/HYsmVLNWvWrAI7w7Zt26b69+/vtP8bb7xRZWZmFngsOgnE2FRKv/jMdezYMZffxzNnzjTsb/z48UX6TfHBBx84fWbdunVz+WM4JydHLV26VNWqVcuwflBQkNq5c6dbx+NPxKZrOiZh5dapY8eO6t1331WnT592uV5OTo5au3atUxkiovr37+/V4/A14tM1T+Nz6NChTp0C3333ncfXPElJSYXWqaTEZ6DGZkGWL19u6Diz2WzqlVdecfr9t3btWlW9enXD8d97771uleHJ9XpCQoISEdW6dWv1xhtvqCNHjuS7bnp6uvr8889V48aNnT6bL774otB6vfrqq6p3797qiy++UJcvX3a5zt69e9Xw4cOdvuu/+eabQvdvtUCMT93azVz33HOPYbvq1aurdevWGdZJS0tTL7/8stP5s3LlSrfKsOLc00UgxqZSJTs+z5w5oypVqmQo57777lP//e9/Devl5OSoRYsWqQoVKhjW7dKli1bJLPkJ1NgsiG7f67nS09NVo0aNDNv16JicMvQAACAASURBVNFD/fXXX07rrly50uk6u0mTJoUmVytlzflhFeLTuvh0l9mkmPyutxyTeGfOnOlyvVOnTnntWMwI5Nj05WdQ1CSsU6dOuSzrs88+M+xv4MCBRR6nbNOmjXrqqafUr7/+6vL7OTMzU3377bdO11X16tXT7saTwgRyfOZHx7bTX33o/h5LNaM4xaau+R9W9SdZMZZqJRexSRKW7hw7Kov6cufHiicnoWNWu5mXN5GE5TsnTpxwunvKZrOp1q1bq8GDB6uuXbuqyMhIp2NcsGBBofv2xmCtYwfBq6++WoSjLDqSsPxHt9jcsmWL092ruT8gOnfurIYMGaLuuusu1apVK8NMALmv+vXrqzNnzuS7f8eLURFRlStXVp07d1YDBgxQw4YNU7169XK6WMh91a1b16nTV3eBGptK6RefSjl/V3r7N0VOTo5T0kLuq0GDBqpfv35q2LBhqmfPnk6DErmvWbNmuXUs/kZsuqZzElbeV40aNVS3bt3UXXfdpYYMGaJuv/12FRsb6zIm27Zt69aAhU6IT9c8jU8z7aW7vw1LWnwGcmwW5B//+IfTscXGxqqePXuqgQMHqqZNmzr9vWXLlurKlStu7b8onWZ5X5UqVVK33nqr6t+/v7r33ntVv379VOvWrZ1mt859TZs2za16TZkyxb5NSEiIatasmerbt6/9u75+/fpO+w4KClLvvvuuW/u3WqDGp07tZq7Lly+r+Ph4pzKbNWum7rrrLtWjRw9VsWJFp7+//PLLHh27r889XQRqbCpVsuNz48aNKiwszLCPkJAQdfPNN6t77rlH3XHHHU7/NyLXrrkC5bo9kGOzIDp9r+d18OBBp9i02WyqTZs26u6771b9+vVTderUcapbTEyM2rNnj1tlWHV+WIH4tDY+3WE2CcvV71ZPXt7unyiqQI5NX34GRU3CcnWjkqevwuRNFoiKilIdO3ZUgwYNUnfffbe69dZbVXR0tMvv84MHD7r5P6uPQI7PgujWdvqrD93fY6lmFKfY1DX/w8r+JF+PpVrJRWyShKU7XU9CkrCKJtBjc+fOnaphw4Zufa5hYWFuT5todrA2OTlZlSlTxr59UFCQOnr0aBGOsOhIwvIv3WJzw4YNTncluPO6+eabC8wsV8p1Epa7rwEDBgTcnTdKBXZsKqVffPo6CUsppTIyMpzuZHfnVaZMGfXmm2+6dRw6IDZdC5QkLHdfY8aMcXkHju6IT9cCJQmrOMdnoMdmfnJyctRzzz2ngoKC3PrsOnTooI4fP+72/s12mrn7qlSpkvr888/drlfeJCx3979s2TK392+1QI5PXdrNvI4eParatWvnVp2CgoLU3//+d4+P29fnni4COTaVKrnxqdS1GYmqVKnidjvZpk0bdfLkySKV5Q+BHpv50el73dHWrVtVgwYN3I6punXrqr1793p0/FadH75GfFofn4UhCeuaQI5NX34GgZKE5c7rtttu02bmNU8FcnwWRMe20+o+dB3GUs0oTrGpa/6Hlf1JSvl2LNVKLmLTsryoIAEQ8Jo1ayZbt26VZ599VipVquRynVKlSskdd9whv//+u4wZM8aSen3xxReSlpZmX+7SpYvUqFHDkrKhB91is3379rJjxw6ZMWOG1K1bt9D127ZtKx999JGsXbtWrrvuugLXbdy4sfzf//2ftG3bVkJDQwvdd3h4uAwYMEDWrl0rX331lcTExLh9HPAO3eLTCqVLl5Y5c+bI+vXr5a677pLSpUsXuH5UVJSMHTtWduzYIWPHjrWolihJsXnzzTfLk08+KS1btpSQkJBC1y9XrpwMHz5ctm/fLm+//baEhYVZUEvkRXzmj/jUk81mk1deeUVWrVolnTt3FpvN5nK9WrVqybRp02TdunVSrVo1n9Slc+fO8v7778vAgQPzPX/ystls0qJFC5k1a5bs3btX7r77brfL6tq1q9x5550SERFR4HpxcXEyadIk2b9/v/Ts2dPt/cN9OrabNWrUkJ9//lmmTZsmNWvWdLmOzWaTLl26yOrVq2XKlCkel6HTuYf8ldT4FBHp1q2b7Nq1S8aOHSsVKlTId7169erJO++8Ixs2bJCqVasWqSx4j85ty/XXXy/btm2T5557TuLi4vJdLy4uTqZPny47d+6Uhg0belSGVecHikbn+ASKqzFjxsj111+f7/kmcu3cvOmmm2TJkiWyYsUKqVKlioU1RGF0bDut7kNnLBWFsbI/ScS3Y6klhe1aEphFhV17rqudlWUDBXH8Ug/k2Lx69ar88ssvkpiYKKdPn5Zy5cpJ9erVpX379hIbG+vv6qEIikt86hibR48elc2bN8vp06fl4sWLEhQUJNHR0VKzZk1p06ZNgR2xBcnKypI9e/ZIYmKinDhxQi5fvixZWVlSrlw5iYmJkUaNGsn111/v1oCuzopLbIroGZ9WSE9Pl61bt8q+ffskKSlJUlNTJTIyUipUqCDNmzeXpk2bSnBwsL+r6TFiMzClp6fL7t275fDhw3Lq1Cm5cuWKZGdnS1RUlJQvX16aNWsmzZo1k6CgwL6PhPgMTCUhPotTbBYk9/ffiRMnJC0tTeLi4qRevXrStm3bAjvufeHw4cOyb98+OXr0qCQnJ0tGRoZERERIVFSU1KxZU1q1aiXR0dGmysjOzpadO3fK3r175eTJk5KSkiKlS5eWuLg4adGihcTHx1t+3EVRXOJTx3ZTKSW//fabHDx4UE6ePCllypSRatWqSZs2bbza8a/TuedNxSU2RUp2fGZlZckvv/wiR44ckVOnTklYWJhUqlRJWrduLQ0aNPBaOVYqTrFZEF3blpycHPntt9/k0KFDcurUKQkKCpLY2Fhp0aKFtGjRwitlWHV++ALxGdjffcVZSYnN4ujixYuydetWOXTokJw/f16ysrKkbNmyUqdOHWnbtq1UrlzZ31U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ffVfDhw/3+LgCBQpo7Nix6tq1q8fH+lOgx2dmXn31VU2ePDnDiz5HjRo10ocffpjlwa43/P7772rfvn26Gwa+TsIKDw9368IxuxGbV/k6NrO7Pz58+LB69eqlDRs2uNw3NDRUgwYN0tChQ92uiy8Qm1f5IjYHDx6stWvXateuXS7rlJXPoXfv3vr22289Pq5EiRKaOnWqWrRo4fGx2S3Q4zOYxp3efHDxyCOPaMKECV55rewS6LGZGbu1ndd89NFHGjFiRKY31a6pUqWKPv74Y1WtWtUr57506ZJatGihP//8M93f7PjZB3J82qXd9EefatfvnjcFcmy6YpfPb8OGDerSpYsSExM9PjY2NlavvfaaChQo4PGxFy5c0KhRo/TBBx+kuweQme3bt6tEiRIen8/bAj02g63tDLYkrECPz8zYpe2007VMII07ic2rfDEu80USlj+eo2anQI5Pu/Tr15w5c0Z9+vTRsmXL3Nq/SJEievPNN9W2bVuPzrNo0SI99thjOnv2rFv7t2vXTlOmTFHBggU9Oo+/BXJsSvaJT1+NO5OTk/X0009r48aN+ueffzLdN9CTsBxjMzU11WfTPTITlpuOHj2qBx54QEeOHDFtr1u3rsqXL6///vtPcXFxRhZrcnKyBg8erAIFCvhkJqgiRYqoYsWKKl68uPLnz6/z58/r4MGD2rFjh+lXWitWrFDHjh01f/58FS1a1O3XX7dunWJjY9MNWIoXL66qVasqOjpaFy9e1OHDh7Vz506XMxPBe+wWm9u2bdPPP//s9dfNTFhYmMqUKaMKFSooMjJSYWFhOnXqlHbs2KGjR48a+yUlJempp57S+fPn1atXL5/WEemNHz9ekyZNMm27No1mRESEdu/erb/++sv427p169StWzctXLgwW5YWcOXSpUt65plnPLr5ml3uuusuf1chR7NzbGZ3f5yUlKTY2Fjt2LHDtL1atWqqXLmyMdvRf//9J0m6cuWKJk6cqPDwcA0aNMjam4NLdozNuXPnZumGlrsyuhAMCQlR1apVVbp0aRUuXFiJiYnavHmzjh8/buxz7Ngxde3aVTNmzFCbNm2yrX7BhnFn1nl6ow7eY8e2U5JmzZql559/3rQtMjJS9evXV5EiRfTPP/9oy5Ytxt927dqlzp07a+nSpV5Z8mrKlCkZPgiDd9mp3fR1n2rX7x7cY6fP7+TJkxkmYBUqVEjVq1dXdHS0QkND9e+//2rr1q26fPmysc9XX32lAwcOaNasWR4tJXP27Fl1795dq1atMm3PkyeP6tSpoxIlSihPnjz677//tHPnzgx/LY+sC+a2E4HNTm2nN1m9lmHc6X85NTY9ld3PUZExO/Xr0tUZj+655x7T9bZ0NT4aNmyoggUL6tixY9qwYYPxg6lTp06pV69emjVrlpo1a+bWeebMmaPHH3/clPgYEhKiOnXqqHz58rp48aJ27typffv2GX///vvvlZSUpFmzZiksjBQOX7BTfPpq3HnhwgXNnTvXq3VHenyD3ZCamqqePXuavoA1atTQtGnTVLNmTWNbYmKixo4dqw8++MDYNmjQINWuXVvVqlXzap0iIyPVokULtW7dWjfffLPKly+f4X6JiYmaMWOGJkyYoHPnzkm6mtE5YsQIvf32226da8+ePerWrZvpAdvNN9+s4cOH66abbkq3RnRKSopWr16tb775xuUv0mGNHWPTmfz586to0aKZThnvrpCQENWoUUN33XWXmjRpohtuuMHpVO/r16/XqFGj9Pvvvxvbhg8frqZNm6py5cqW64KsWb58uV5//XWjHBISomHDhumxxx4z3RhdvXq1+vfvb8T41q1bNXjwYL3zzjs+r/Nbb71lXIzmz5/f7V8vpPX++++7NdNBWqmpqWrTpo3p1wOxsbEenxvusXNs+qI/HjRokCkBq1SpUnr33XdNSw6eP39e77zzjl577TUjKfHVV19VgwYN3L4IhefsHJsZKV++vI4ePark5GSvvF5ISIiaNm2qBx98UM2bN093Eyw1NVWLFi3SkCFDjPeekpKiPn366LfffmM5Yi8IxnFnqVKltHHjRo+PW716tZ566imjHBMTQ/voJ3ZtO7dv365nnnnGtK1Pnz4aOnSo6Rev27ZtU//+/Y2HVocOHVKvXr20cOFCS+ffu3ev8RAmV65cypMnDz+kygZ2bTd90afa9bsH99j584uOjlZsbKzuvfde1a5dW6Ghoaa/HzlyRK+99pq++OILUz1Hjx6tV1991a1zpKamqk+fPqYErGLFimnYsGHq1KmTIiMj0x3z999/a+HChfrss8+y+M5wTTC3nWn169dP/fr1c3t/KzPKwDvs1nba5VqGcaf/2S02M3L33Xfrf//7n9v7FylSxK39fPkcFRmzY7/+/PPPmxKwIiIi9L///U89evQwJT6dPn1ar776qlGnlJQU9ezZUytWrNB1112X6Tn++usvPfPMM6YErKZNm2rChAmqWLGiad9ff/1VgwYN0v79+43yqFGjNGbMGMvvFZmzY3xK/rsPHhISokqVKrk1IxhcYzlCNyxYsMA0rVy5cuW0fPlyp+trDhs2TO+9955RbteunWbMmOHVOqWkpHiUBbt69Wp16tTJ9GuwTZs2uewoUlNT1b59e1MCy9NPP60RI0ZkSz39JVCnSrRjbL777rv63//+p+rVq6t+/fpq0KCB6tevr6pVq2r27Nmmi7isLkfoaVxdunRJPXr0ME0t2r17d7355psen9sfAjU+nUlNTVXz5s21fft2Y9srr7zi9ObSv//+qxYtWhiJJyEhIfrpp59Uu3Ztn9RXunpDtVmzZkpOTlZoaKhGjhypUaNGGX93dznCrFixYoU6depklGNiYrR582blypUrW87nCWLTd7Hpi/5406ZNatWqlVEuVKiQfv75Z5UtWzbD/adNm2Y6f506dbR8+fJ0yWD+QGz6Ljavv/56hYeHq379+qb/ihYtqvr165uSYLLyObRuxnbKsgAAIABJREFU3Vply5bVkCFD3EqePnr0qO666y7Tebt27aopU6Z4fO7sEqjxGazjzqx4/PHHTUvAPvXUU3rppZd8cm4rAjU2nbFz29mtWzf9+OOPRrlfv3565ZVXMtz31KlTatmypXFDVpI+++wzSzOjdurUSStWrJAk9e3bV4sXL7bcXme3QIxPu7WbvupT7fzdyw6BGJuZsePnt2TJEj377LMaPHiwunXrpty5c7s8ZvLkyaYHV2FhYVqzZo2uv/56l8fOmDFDzz77rFGuXr265s2b51aSy7UHbY7JYf4QqLEZrG2n49Jxvhy7+kOgxqczdmw7s8rb1zKBNu4kNn0Xm2n/rbPr3rqvnqP6SiDGp9369bi4OLVu3dooh4aGas6cObrtttucHvPaa6+ZlmR1p1/v2rWrli5dapSbNWummTNnKk+ePBnuf/jwYd1xxx3Gyj6ejF3tIBBjU7JffPpq3JmYmKiKFSvquuuuM93Pr1evniIjI02fJ8sRZp3/rwgDQNoscUkaN26c0y+gdHWWnTJlyhjl77//Xlu3bvVqnTxNbLr11lvVpUsX07YlS5a4PG7GjBmmB76dO3d2+4Gv5Hk94Rk7xmZsbKz27dunn376SRMnTlT37t1Vo0YNryaMeBpXuXPn1vjx402JAT/88IPX6gPPLFy40HThd8MNN6hv375O9y9XrpyGDx9ulFNTU9PFfnZ77rnnjNlcevbsqXr16vns3LNmzTKVH3jgAVskYOVEdo5NX/TH48ePN5VffPFFpwlYktS/f381bNjQKG/ZskWLFy92u05wn51jc82aNdqxY4e++OILPffcc2rZsqVXp2r/+OOP9eGHH7o9e2VMTIwmT55s2rZgwQLTtPLImmAdd3oqKSlJ33//vWkbM1j6h13bzk2bNpkSsMqUKWM6r6MiRYpo3Lhxpm2OfbYnZs2aZTwIK1GihIYOHZrl10Lm7NZu+qpPtet3D+6x4+fXsGFDrV+/Xg8//LBbCViSNHDgQN10001GOSUlRfPnz3d5XHx8vEaPHm2UixUrprlz57o9y1BoaKgtErACWbC2nQhsdmw7s8Lb1zKMO/0vp8RmVvnqOSqcs1u/7jizWe/evTNNwJKuJkanTUScPXu29uzZ43T/3bt3mxKw8uXLp6lTpzpNwJKuzl44duxYo5ySkhLQ371AYbf49NW4s0CBAtq5c6c2bdqkjz/+WAMGDFDTpk0znPEXWcdVoQs7duwwLctTuXJl0ywRGYmIiNAjjzxi2maHtTVbtGhhKqddZzYjly9fNmX3Fi5cWC+//HJ2VA1ZYNfYLFy4sPLmzevV1/SGsmXLqlKlSkb55MmTOnPmjB9rFLwcY65fv34uZ87p1q2bChUqZJSXLl1qWpItO3311VdauXKlJKl48eJ68cUXfXJeSTp79my65WZ4kJt97BqbvuiPExIS9NNPPxnlQoUKqVu3bpkeExISku6Xc3YY7+REdo1N6erFXnbKyq8NmzVrpnLlyhnlpKQkryf/BBvGne5bsGCBacniazNzwffs2nY61qtnz55Ol1a/pnXr1qZrma1btxrLZHviv//+08iRI43ymDFjuMmWTezYbvqqT7Xrdw/usePnFxUV5bKdzMhDDz1kKq9du9blMdOmTVNiYqJRHjFihIoXL+7xuZE1wdx2IrDZse3MCm9eyzDutIecEpu+5OlzVDhnt379ypUr+vnnn03bMktKvCZXrlzq3bu3Ub58+XKmdUqbgCVJHTp0UMmSJV2ep127dqYEn4ULFxrLY8L77Bafku/Gnbly5VJ0dLTH54JnSMJywTHL+YEHHnDruPvvv99UtsOsO47Zm2kH1BlZunSpMfWhdPXBf7FixbKlbvBcTopNX/H0OwDvu3jxommgmz9/frVt29blceHh4Wrfvr1RvnTpkml5yexy8uRJ05Tbo0ePVsGCBbP9vNc43vyoV68eD3KziZ1j0xf98bJly5SSkmKU7777boWHh7s8rm3btoqIiDDKP/30E7/w9TI7x6ad1axZ01RO+x2C5xh3uu+rr74ylUme9g87t52O3yfH74kz3vg+jRw5UidPnpQkNW/eXB07dvT4NeCenNRuetKn2vm7B9dy2ufn6XgwJSXFNBN1dHQ0/biPBWvbicCWk9pOb17LMO70v5wUm77EMyTvsVu/vnPnTlOyfYUKFVS+fHm3jm3WrJmpvGjRIqf7pl3NIqNjnQkNDVXTpk2N8vnz59MljcF77BafVjDutCeSsFz45ZdfTOWbb77ZreNKly5tyljds2ePDh486M2qeezQoUOmcokSJTLd33HQ3blzZ6/XCVmXk2LTV9J+B3Lnzu3V5ZLgnvXr16f7RZW7M1g4xvivv/7q1bplJO0Ng6ZNm7r9kMxbeJDrO3aOTV/0x451vuWWW9w6Ljw83LQ855kzZ/THH394tW7Bzs6xaWeOU85funTJTzXJGRh3uufAgQNas2aNUc6TJ486derkxxoFL7u2nQcOHNDevXuNcrly5VSqVKks1cvxe+nKypUrjTFF3rx50y1xCO/KSe2mJ32qXb97cE9O+/w8HQ8uW7ZM8fHxRrljx44eL2MEa4K17URgyyltpzevZRh32kNOiU1f8/Q5KpyzW7/umJji7pJv0tUZivLnz2+Ut2/f7jTRxXF7lSpV3D6P477Lly93+1h4xm7xaQXjTnsiCcuFtFP8h4aGmh40utKwYUOnr+UPjlPiuXrA+ttvvxn/X7hwYdOat/C/nBSbvrBmzRodPnzYKDds2DDTNZiRPRxjrUGDBm4fe8MNN5jKf/75p1fq5MyKFSuMX8HmyZNH48ePz9bzOTp48KBWr15tlHmQm73sHJu+6I8d62yn9x/s7BybdvbPP/+YykyxbA3jTvfMmjVLqampRrlNmzYqUqSIH2sUvOzadjq+Vv369d0+tkGDBqalQzz5Ll24cEHPPfecUR4wYIAqVqzo9vHwXE5qNz3pU+363YN7ctrn5+l40HG5wiZNmni9TshcsLadCGw5pe301rUM4077yCmx6WuePkeFc3br10+dOmUqe7riieOSqs7qZOU8jvv6ezyTk9ktPq1g3GlP/JwnEwkJCTpx4oRRjo6ONi2540raNTilq9mQLVu29Fr9PDFhwgStXLnSKNeoUcM0raGj/fv3m9572hu+O3fu1MyZM7VixQodOnRI58+fV7FixXT99derRYsWeuCBB9xa3xZZl5Ni0xf279+vAQMGmLb169fPT7UJbnv27DGVHWMxM2mzyzN6LW9KTk423TB46qmnPPplhDfMnj3bdPPjjjvuYPa2bGTX2PRVf5y2ziEhISpbtqzbdXTcNzu/m8HIrrFpZwcOHNC2bduMclhYmGrVquXHGgU2xp3umz17tqncpUsXP9UEdm07HV/L3aUPJCkiIkLR0dHGLC3x8fE6ffq0Wzd0J02apL///lvS1SUXnn76afcrDY/lpHbT0z7Vrt89uCenfX6LFy82lV09WImLizOVrz1cSUxM1Ny5czV//nzt3btXJ06cUMGCBRUTE6PGjRurXbt2uvXWW71b+SAUzG1nRlatWqVt27Zp27ZtOnHihEJDQ1WkSBGVKVNGjRs31p133ulRMjeyT05pO711LcO40z4CKTa3b9+u3r17a/PmzYqPj9eVK1dUpEgRlSpVSjfffLNatWrlk+RoT5+jwjk79uuOM8FdvHjRo+MvXLhgKu/atSvDpQatnCejc8D77BifWcV9cPsiCSsTjpmDpUuX9uh4x2UFHF8vO507d05Hjx7V+vXrNWPGDK1bt874W/78+TV16lTTr2gdbd261VSuWLGikpOTNWbMGE2fPt2UGCBdnaLz0KFDWrlypcaPH6/+/ftryJAhTNudTQI5Nn3h8uXLSkxM1K5du/TDDz/o448/Nk29e9999+nuu+/2Yw2Dl5XYDQ8PV7FixYzlARMTE/Xff/9lS2LSpEmTjKViypcvr4EDB3r9HK5cm4XrGh7kZi+7xqYv+uOTJ0/qzJkzRjkqKsrt6cmlnN+n+JtdY9POPvjgA9N34+abb1ahQoX8WKPAxrjTPevWrTMtMxcdHa1WrVr5sUbBza5t5759+0xld5ciTLt/2qWy9u7d6zKp4K+//tKUKVOM8rhx4xQeHu7ReeGZnNRuetqn2vW7B/fkpM/v+PHj+u6770zb2rRpk+kxaa+9ChQooBIlSmjJkiUaOHCgjh8/btr3xIkTOnHihLZt26b33ntPTZs21aRJk1ShQgXvvYkgE8xtZ0YcZ2aTpLNnz+rgwYNau3atJk6cqGbNmmnMmDGqXr265Toj63JC2+mtaxnGnfYSSLG5devWdPdAz58/r8OHD2vDhg2aOnWq6tevr9GjR3t1Ziqrz1HhnB37dce+OO21tSvJyck6ffq0aVvadtPVeapVq+bWeRzrdOrUKZ06dYpZ1r3MjvGZVdwHty+WI8xE2geSklSsWDGPjnfc37GB9qY2bdooKirK+K9s2bJq1KiRnnjiCdPAoVy5cvrmm29Up06dTF/v2LFjpnKxYsXUo0cPvfvuu+ke+DpKTk7W5MmT1b17d507dy7rbwpOBVJs+sLy5ctN8V+iRAlVqVJF7du319SpU40ErJCQEPXp00dvv/22n2scvAIhdh1vGLz22mvKly+f18+TmfXr1xu/GpOuJsXwIDd72TU2fdEfO9bV0/ceFRWV6evBGrvGpl3t2rVLH3zwgWkbs19aQwy656uvvjKVO3XqxA9S/Miucev4Oo59qCue9rmpqal69tlnjV/e3nPPPbr99ts9Oic8Z9f481RW+tSc8t6DVU76/F566SXTj/Hq1Kmjxo0bO93//PnzpvdfokQJzZo1S927d0+XgJWRlStX6s4779TGjRutVTyI5ZT48+X1yK+//qo2bdpo3rx52fL6cE9OiF1vXMsw7rSfnBCbacXFxaljx46aNm1all/D289R4Zwd489xpZOtW7fq0qVLbh27ZcsWXb582a06OZ7Hk/Gh48ysmZ0HWWfH+MwK7oPbG3eFM5GUlGQqe5q177h/2ot/X6tUqZIee+wxxcbGujW7hWODMWPGDB05ckTS1bVRO3furA4dOqh8+fK6cOGCduzYoU8//VS///67cczy5cv1wgsvmJIZ4B05KTZ9IVeuXIqNjVW/fv1Uo0YNf1cnqDnGmt1iNzU1Vc8884wx+L777rv9kvzkePPjvvvuU+7cuX1ej2Bi19j0RX/sWFdPZsGSgq9P8TW7xqYdXbhwQf369TNN3d20aVPdddddfqxV4GPc6VpycnK62Ta6du3qp9pAsm/b6es+99NPP9Vvv/0m6eqsLmPGjPHofMianNBuZrVPtet3D+7JKZ/fvHnzTMtqhYSEuGz/EhMT05UHDRpklGvXrq2ePXuqbt26ioiI0MGDB7Vo0SJ9/vnnxv2DkydP6sEHH9Qvv/yi4sWLe/EdBYdgbjvTyp8/v5o3b66mTZuqWrVqioqKUlhYmP777z9t2bJFCxcu1KpVq4z9z507p/79+6tw4cJq0aKFV98P3BPobae3rmUYd9pPIMRm3rx51aRJE912222qWbOmihcvrrx58yoxMVHbt2/XkiVLtGTJEuOHqCkpKRoxYoQiIyP14IMPer0+nj5HhXN27NdLliyp8uXLGzNUnz17VkuWLFH79u1dHvvNN9+k2+asTrfccos+++wz07HurLRy7NgxUx/v6jzIOjvGp6e4D25/JGFlwnHWCKs3SP05K9SePXv08ccfK0+ePOrSpYtCQzOfBM3xoe+1B74FChTQF198oVtvvdX099q1a6tLly6aOHGixo4da2yfOXOm7rnnHmZw8bKcFJu+cPnyZX377beSpEGDBql8+fL+rVAQ8/aDJ2/H7owZM4zklfz58+uVV17x6uu748KFC0a8XhMbG+vzegQbu8amL/pjx7p6etHh+G+V0/sUX7NrbNrRc889l24ZmcmTJ/uxRjkD407XFi9ebHp4W6tWLdWqVcuPNYJd205f9rnx8fEaPXq0UR46dKhKlizp0fmQNTmh3cxqn2rX7x7ckxM+vz///DPdQ65HH30001mwpPS/hj9x4oTx//3799fo0aNN91IrV66sFi1a6MEHH1Tnzp2N5Zri4+M1dOhQffjhh1bfStAJ5rZTkiIiIjRu3DjFxsYqf/78Ge7TqFEj9e7dW7/++qv69+9vzNJ2+fJl9enTR+vXr2e5Ij8I9LbTG9cyjDvtye6xOWLECD300ENO260GDRqoR48e2rx5s3r37m1a7uv555/XTTfdlG7GIas8fY4K5+zar3fq1EmTJk0yymPHjlXr1q0zrd+ePXv0+eefp9vuLPHmjjvuUP78+Y2/79ixQ7Nnz1bnzp0zrdsrr7yilJQUt8+DrLNrfHqC++D2Rw/iAU/X/nXc39WyQVbMmDFDGzdu1MaNG/XHH3/ol19+0eeff64nnnjCWLJg27Zteuqpp3Tfffel+4WXoytXrmS4/c0330z3wDetZ599Vl26dEl3DLKXnWPTFxo3bmzE/8aNG/Xbb79p8eLFGj9+vJo1aybp6kDliy++ULNmzTR37lw/1xjX2Cl2jx07ppdfftkov/DCC+nWdvaFH374wdRG16xZU7Vr1/Z5PYKdXWLTH/2xXd47Msbnk7G33npLM2fONMohISGaPHmyypUr58da5UzEYHqzZs0ylR3bX/ifXeM2O+s1bNgwY0xZu3Zt9e7d2/MKwivsGn/OeLNPDbT3DrNA+/zi4+PVrVu3dMsQjho1yuWxzq67WrVqpTFjxjh9CFu3bl29//77pm0LFizQ3r173a84MhRo8We17YyKitKjjz7qNAErrWbNmmn+/PkqWLCgsS0hIUFTp071vOLwukCLXW9cyzDuDAx2i82nn37arcTRunXratGiRbruuuuMbRcvXtT48eM9Pqe3n6PCfXaJv0cffVT58uUzyn/99Zf69u2r5OTkDPc/ePCgunXrluHfnb2nwoULq0ePHqZtgwcP1ooVK5zW66233tKXX36Z4d88/beD5+wSn+7iPnhgYCasTERERJjKzhphZ86fP28qu3MRlVUxMTHpttWqVUt33nmnXnjhBQ0bNszI1F25cqW6dOmiBQsWOF3eyvG9S1L9+vV1zz33uKzLiBEjNHfuXCNjd+3atTpy5Ai/fvCiQIpNX8iXL5/Kli2bbvuNN96oXr16afXq1erbt6+OHTums2fP6rHHHlO+fPnUtm1bP9Q28O3fv9+t/QoVKqRChQqZtjnGmp1iN+0Ng5o1a6pv375ee21POC5FyCxY7suJsemL/tjxHI7vxRXHf6tA71OyQ06MTTuZPXu2KYlWkkaOHKl7773XTzXKWRh3Zu7YsWP6+eefjXJYWJjuv/9+P9Yo58iJbaev+txly5YZM6uGhIRowoQJypUrl0fnQtYFcrtptU+163cvmOTEttMdZ86cUWxsrOn9ly9fXjNnznRr1sGMrrskuZXAddttt6lVq1ZatmyZpKsJXd99951pOUO4FsxtZ1ZUrlxZL730kp599llj2xdffKHhw4fzsDYLgrXt9Ma1DOPO7BWssekoOjpab7zxhh544AFj2/z58zVx4kRTQqor3n6OCufs2q+XKFFCY8aMMfWf33//vZo0aaLevXvrpptuUsGCBXXs2DEtX75cH374obF0XUxMjI4ePWocl1nsDRkyREuXLtXff/8t6eokEffff7/uv/9+3XvvvapQoYIuXryo7du367PPPtPatWslSaGhoYqKilJ8fLzxWo7fbVhn1/h0B/fBAwdJWJmwOkhJuw5nRq/nKxEREZo8ebJSUlKMh/sbNmzQO++8o6effjrDYzKqa6dOndw6X0xMjJo0aaJffvnF2LZ27Vq3j4drOSU2feXWW2/V3Llz1bp1a50/f15XrlzRoEGD1LRpU0VGRvq7egGnQYMGbu03ePBgvfDCC6ZtVgc32RW7S5cu1XfffSfp6g2D119/XWFhvu8i4+Pj0938uO+++3xej0CVE2PTF/2x43t3fC+ukITlWk6MTbtYunSpBgwYYPrF0YABA/TUU0/5sVY5C+POzM2ZM0eXL182yi1btlR0dLQfa5Rz5MS20xd97rlz5/T8888b5YceekgNGzb06DywJlDbTW/0qXb97gWTnNh2unPeHj16aMuWLca2EiVKaM6cOSpRooRbr5FRXWvWrKlq1aq5dfz9999vJGFJV6+7SMLyTDC3nVnVrVs3vfzyy0pISJB0dRnN7du3syx2FgRj2ylZv5Zh3Jn9gjU2M9KiRQtVr15dO3fulHR1KdZVq1Z57Yf2WXmOCufs3K8//PDD+ueff0wzSO7bt0/Dhw93ekzZsmU1ZMgQPf7448a2zJKjChQooM8++0ydO3fWwYMHJV1N1J89e7Zmz57t9LiRI0dq4cKFpiQsTxIN4R47x2dmuA8eWFiOMBOOyRn//fefR8efPHnSVPZ3Qzl69GjTwGv69OlOp9vOqK7uDvgy2nf37t1uHwvXclps+kK1atXUp08fo3zy5El9/fXXfqxRcLJj7J49e9Z0w6B79+5q1KiR5dfNijlz5pjW/b799ttVvHhxv9Ql2NgxNp29jrf7Y8dz2OW94yq7xqYd/Pbbb+rVq5ep3ezRo4dGjhzpx1rlPMRg5hxvnjGDpT3YNW4dX8fxPK64U69x48YZv5iPiorSiBEjPKwlrLJr/GXGW31qIL53/L9A/PwuX76svn37atWqVca2woUL6+uvv1b58uXdfp3IyMh0swfVr1/f7eO5D2pdIMafv69HcufOrcaNG5u2XUtOgO8EYuxeY/VahnGnvQVybDpz2223mcp//vmn18/hyXNUOGf3+Bs1apSmTJniVuJpq1attHjxYlN/L8nlsVWqVNEPP/ygO++80+U5ChYsqLfffltPPvmkabatsLAwt5bthGfsHp8Z8fe4E55jJqxMXH/99abyoUOHPDrecX9PLv6zQ9GiRdWkSRP9+OOPkq7OuLJjx44Mfx3j+N4leZQI4LjvtV/kwDtyWmz6SocOHfTWW28Z5V9++UW9evXyY42CT4UKFUxlT2I3OTlZJ06cMMoFCxZU0aJFLdfp66+/1oEDByRdzVh/5JFHXE71nPaXCNLVRK60x+TOnTtLS7DOmjXLVOZBru/YMTYl3/THUVFRioyM1JkzZyRJx48f14ULF5Q3b163zuH4b+X4bwlr7Bqb/rZlyxZ169bNNP3zPffco4kTJ/qxVjkT407ntmzZou3btxvlIkWKqE2bNn6sEa6xa9vpGP+HDx/26HhXfe7Zs2c1ffp0o9y3b1+dPn1ap0+fzvR1HW8mO46FY2JilCdPHo/qGswCrd30Zp9q1+8e3BNon19qaqoGDhyo77//3tiWP39+ffXVV6pRo4ZHr5U7d26VKVPG1P65O4uWlP6669SpUx6dH8HddlpRpkwZU9nTBG9YF2ht5zVWr2UYd9pfoMZmZsqWLWsqZ0eb58lzVDgXCP16165d1aFDB82ZM0fLly/Xtm3bjJgqWbKkGjZsqC5duhjJf9eWFrymTp06Ls8RExOjzz//XBs3btR3332nlStX6siRI0pISFDRokVVrlw5tWvXTp07d1Z0dLTOnj2rI0eOGMdXq1aNNjEbBEJ8pmWXcSc8QxJWJgoXLqyoqChjsBEfH69z586lm8bTmX///ddUrly5stfr6CnHhuXff//NcPBQpUqVdNvcfRgrKV2n4OkyC8hcToxNX6hYsaKp7PjvAPekvQDzlGOsefIZXEuUcvZaWZV2qtGzZ8+qVatWHr/GggULtGDBAqNcq1Yt0xJw7ti2bVu6mx/u/EoC/y+nxabku/64UqVKiouLk3T1Ycb+/fvdfh+ON8wqVarkdv2CRU6MTX/avXu3OnfubLq527JlS7377rsKDWWiX29j3OmcY/J0p06duDnmRTmx7XR8rX379rl97Llz53T8+HGjXLx48XTLH6SkpJgebL366qt69dVXPa6n44wuP//8s2rXru3x6wSrQGo3vd2n2vW7F0xyYtvpzPDhwzVz5kyjnDdvXn366ae64YYbsvR6VapUMV3beNKnO16jXbx4MUt1CGbB3HZakS9fPlPZ0+V0cFUwtZ3XWL2WYdzpG8EYm5kJDw83ldMmJHiTu89R4Vyg9Ov58+fXww8/rIcfftjlvn/88YepXK9ePbfP06BBA7dWt9i8ebNpmdi6deu6fQ64L1DiU7LXuBOe4dNxoWrVqsb/X7lyRZs2bXL72I0bNzp9LX/JnTu3qezsYWx0dHS6qRRd/YohrcTERFOZ6RK9L6fFpi+EhZnzTkkO9D3HWHMcuGbGcd+cFrfX1pq/pmPHjjzI9SG7xqav+uNq1aqZyo79RGZy+nfT3+wam/5y8OBB3X///aYbkTfffLM++eSTdONceA/jzvRSUlL0zTffmLZ16dLFT7WBI7u2nVb627i4OKWmphrljBK1YR+B0G5mR59q1+8e3BNIn9/YsWNNM7DkypVL77//vpo1a5bl13Rso61cdxUuXDjL9Qhmwdp2WuE4Cwz34H0vkNrOa7iWCQ6BGJuuOC4Zll2zc7n7HBWZC4R+3V3nzp0zfsAsSeXKlVOpUqW8fp60S2xLSrfsMLwnEOLTbuNOeIYkLBccL95/++03t447fPiw6ddTlSpV0nXXXefVumVF2mkMpatLEDnTvHlzU/mvv/5y+zy7du0ylbOyLBcyl9Ni0xc8iX9kjxtuuEH58+c3ynFxcW5fxKxdu9ZUdmyjAllGNz9YitC37BybvuiPr02rfI3je3ImOTnZdIFSoECBLP/yHBmzc2z62vHjx9WpUyfTlM9169bVzJkz0/0CHN7FuDO9ZcuWmWYlqlq1qlu/aoRv2LXtLFOmjOlX1f/++2+6axRnHL93LVq08Fq94H12bzezq0+163dxoZn7AAAW8UlEQVQP7gmUz2/atGmmpTdCQkI0ZcoUtW3b1tLr3n777aayJ9ddjvtyHzRrgrXttMLxgWFMTIxf6hHMAqXtTItrmeAQiLHpStokGCn72jyeI3mH3ft1TyxYsEBnz541ytn17Obrr782/r9AgQJq3759tpwH9o9PO4474RmSsFxwXApqzpw5bh2XtqHM6HX84cqVK+myaB3XhU6rXbt2pvKvv/7q9nlWrlxp2taoUSM3awl35aTY9JUVK1aYypnFP7JH3rx5TQ+Mzp49q0WLFrk8Ljk5WQsXLjTKuXPnztKygRnp37+/Tpw44dF/3377rek1YmNjTX/3dCnC5cuXKz4+3ihXqVKFmx8+ZsfYvMYX/XHr1q1NswUuXLjQrWUMFi1aZLoAbdmyJTO4eZmdY9OXTp8+rc6dO2vv3r3GtipVqmj27NmKjIz0Y82CA+PO9ByX7+CX4/Zi57azTZs2prLj98QZx+9dRt+nQoUKeTyuPXHihMqUKWN6Hce/sySM5+zcbmZnn2rn7x5cC4TP78svv9TIkSNN21577TV17tzZ8ms3btzYNIvQunXr3F7myPF+00033WS5PsEoWNvOrNq9e7e2bdtmlHPlykXs+UEgtJ2OvHEtw7jT/gIxNjNz6tSpdPdEb7nlFq+fx9PnqHDOzv26Jy5fvqx3333XKIeGhqpr165eP8/ChQv1zz//GOV7773XlEgJ77JzfNpx3AnPkYTlQo0aNVS9enWjvGvXLi1btizTY86fP69PPvnEtK1Tp07ZUT2PzJw5U0ePHjXK1apVSzfoTev2229XsWLFjPI333xj+oWEM99//70OHjxolGNiYlgvORvkpNj0hYsXL+rtt982bWvdurWfahPc7rvvPlN5+vTppqVVMvLll1+apvdv3bq1ChYsmC318wfHmx/MguUfdo1NX/THhQsXNv3yOyEhQV9++WWmr5+ammpaAkRK/28I77BrbPrK+fPn1a1bN23dutXYVq5cOc2dO9f03UD2YdxplpCQoB9//NEoh4aG6oEHHvBjjZARu7adjvX65JNPXD7kX7p0qXbv3m2Ua9Wq5fflGJA5u7abvuhT7frdg3vs/Pl9//33GjRokKk+w4cP16OPPuqV1w8LC1PHjh2N8unTp/XVV1+5PC4pKUmff/65aZsdHlYHomBuOz2VmpqqUaNGmb4PN954I0th+omd205HXMsEl0CKTVfGjRtn+iFo6dKlVbNmTa+fx9PnqHDOrv26p95//33TGKB79+5en/nozJkzGj58uFEODw/X008/7dVzwMyu8WnHcSeyhiQsNzz//POm8pAhQ5SQkOB0/zFjxujAgQNGuW3btqpTp47T/WfOnKmoqCjjvw4dOmRanw8//NC0/qc71qxZo2HDhpm2Pfzww5keExERoYEDBxrlpKQkDRw4UJcvX3Z6zOHDhzV06FDTtscff1yhoYRadrBbbPpCXFyclixZ4tExFy5cUL9+/UxZ5KVKleKmmJ+0b9/edIG0YcMGvffee073379/v8aMGWOUQ0JCNHjwYJfnqV+/vil+HX/BYhcJCQmmmObmh//YNTZ91R871v2VV14x9RmOpk+frj/++MMo165dW3fddZfT/ZF1do1NX7h06ZJ69uxpmhI6JiZGc+fOZZkXHwvGcacz33zzjWkZh+bNmxOPNmTXtrNevXq64447nJ7XUUJCgoYMGWLa5vh9hD3Zrd30VZ/qq+8esodd284VK1aob9++pmugAQMGmK6TvGHQoEGm5T3GjBmjPXv2ON0/NTVVQ4YM0bFjx4xtNWvWZMlYC4Kx7fzjjz/0+++/u73/lStXNHLkyHT3RwcNGuSV+sBzdm07M8K1THCxY2zu2bPHlAjojunTp+uDDz4wbXM1BvDVc1Rkzm79uiSlpKS4UfOrvv32W7300ktGOTo62lT2xnnOnDmjLl26mH5M/cwzzzADmw/YLT65D56zkBnjhvbt2+vGG280yvv27VOHDh20Y8cO036nT5/WkCFDTLNChIeHp+u0rfrss8/UsGFDDRw4UCtWrMh0Hefdu3dr2LBh6tixoylLvFatWurZs6fLc/Xq1UuVK1c2ykuWLFG3bt3077//ptv3119/Vfv27U1Z4lWrVtUjjzzi5juDp+wWm9dcWxPX8b+TJ0+mq1dG+x0+fNjpax85ckTdu3dXq1at9N5775kGJo4uXLigefPmqUWLFlqwYIHpby+//LIiIiKsvVFkSUhIiEaOHKmQkBBj2/Dhw/XGG2+kW/5szZo1at++vU6fPm1su//++3PU1NTz5s0ztePNmjVjQOUndo5NX/TH9evXN/3yOzExUe3atdPatWtN+yUnJ2vSpEkaMWKEsS0kJESjRo0y/dvBe+wcm0lJSRn25fv37093s8HZfklJSU5f/8knnzT9Cilfvnx64403FBoa6vT1Mvov7a84kTXBOO50hqUIA4Od284XX3xRefPmNcrTp0/XsGHDdObMGdN+27Zt0913323q72+++Wa1bds2W+oF77Jbu+mrPtXO3z24ZsfPb/PmzerRo4fpuvmuu+7SI4884lHs7t+/3+W5SpYsqaeeesooJyYmqkOHDlq0aFG6mUOOHj2q3r17m2bLCg0N1csvv8x1kQXB2Hbu2rVL7dq1U/v27fXpp58qPj4+w/1SU1O1Zs0a3XvvvZo2bZrpb+3atVPLli2986bhMTu2nc5wLRNc7BibR48eVbdu3dSiRQu9++67mf4AdOvWrXr44Yf14osvmrY3aNBADz74YKbn8eVzVDhnt35dkqZOnaquXbvqu+++c3pPcvfu3XryySfVu3dv40cAoaGhmjRpktuzTt5www167bXX0r3Xa86fP685c+bo1ltv1bp164ztN954o2k8iuxjt/j05X3wxMREt66ZUlJSnO7n2I/ALMTV1JNePVlIiOlknmYh+9ORI0fUunVr0wPNkJAQ1a1bV+XKldOpU6e0cePGdA32tGnTXM5oMnPmTFOD2rhxY82fP9/p/s2bNzet9x4WFqaqVauqZMmSKliwoK5cuaLExET9+eefOnLkSLrjK1SooPnz57v9kP+ff/7RnXfeaXqQERISonr16qlcuXK6ePGiduzYoX379pmOK1y4sBYvXmx6aGxXUVFRpjKxeZWnsXlN/fr1Mx08u1KmTBnFxcVl+LdFixbpoYceMm2Ljo5WlSpVVLhwYUVEROjs2bM6fPiwdu7cmeHgeuTIkRowYECW6+drgRyfmRk/frzGjx9v2hYVFaV69eopX7582r17t/7880/T32vXrq2FCxe6tRa2Yxx+++23atKkiVfqvmrVKt17771GOTY2VlOnTs3Sa915553asGGDUZ4+fXrALOlGbP4/X8SmL/rjpKQktW3bNt2FRvXq1VW5cmWdPXtWmzZtSpfcMGzYMD3zzDMuX99XiM3/l92x6ThWyIopU6aoa9euGf7N8bPMqsGDB+uFF17wymtZFcjxGWzjzozs3r1bt9xyi1EuWLCgtm/fbpo1I1AFcmxmxo5tpyR99dVXevLJJ03bIiMj1aBBAxUuXFj79u3T5s2bTX8vVaqUli5dqhIlSrh8fU84vgc7fvaBGp92ajd93adm93fPLgI1Nl2xU9s5btw4vf7661l4F+m58/mkpqaqZ8+eWrhwoWl7qVKlVKdOHeXLl0+HDh3SH3/8kW52Yjvdbwrk2Ay2tjOja6rSpUurUqVKKlSokMLCwnTq1Clt3bo1w8+xYcOGmjdvXkD92DSQ4zMzdmo7M2KHaxm7jzuJzf+XXbHpeF9dkooXL2483wkPD1dCQoJ27NiR4Y+mKlSooEWLFik6OjrTOvn6OaovBGp82qlfl6SJEydq7Nixkq7GReXKlVW+fHnlz59fCQkJ2rt3r/bu3Ws6JjQ0VBMmTEj3bDIzJUqUMMaKxYoVU/Xq1RUVFaUrV64oPj5eW7Zs0blz50zH1K5dW3PmzAm4ZecCNTYle8WnL6/ZvXGN5c1nrtnF8d80NTXVZ7+WCfPViQJdyZIl9fXXX6tnz57GNNSpqanatGmTNm3alG7/8PBwjR492idLSqWkpGj79u3avn27y307dOigcePGuRygpFWhQgV9/fXX6tOnj/7++29JV997XFyc0wcWFSpU0JdffhkQCViBzs6x6SvHjx/X8ePHXe4XHR2tV1991TTTC/xn8ODBunTpkt58801duXJF0tXBmbN1lxs1aqQPP/wwoG7Iu7Jnzx5TAlZkZCQzG9iAXWPTF/1xgQIFNHPmTD366KOm2Ny5c6d27tyZbv/Q0FANGjTIVglYOZldYxPBg3Fn+l+O33PPPTkiASsns2vbGRsbq6SkJL300kvGD0fOnDmjX3/9NcP9q1Spoo8//tjrCVjIXsHcbtr1uwf3BPPnFxISomnTpikiIkKzZ882th8+fNjpDJphYWEaO3Yss2V4STC3ndccOnRIhw4dcrlfz5499fLLLys8PNwHtYIrdm87uZYJXnaPzfj4eKezAKbVvn17TZ482e2ZiNLK7ueocM7O/XpKSorT+97XREdHa8qUKWrVqlWWz3Py5EmXS8jed999mjBhgiIjI7N8HnjOzvGJwMZyhB6oXr26fvrpJw0YMMBp55s7d261adNGP/74o3r16pUt9Zg0aZIGDBigOnXqKCzMdR5dgQIF1KVLFy1cuFAfffRRlgYOderU0c8//6xBgwYpJibG6X4xMTEaOXKkVqxYQQKWD9klNn2hSZMmevPNN3X33Xe7FcshISGqVauWxowZo7Vr15KAZSMhISF68cUXNW/ePDVp0sTpdP1ly5bVyJEjtWDBAlv98sQbuPlhT3aOTV/0x6VLl9bChQs1cuRIlSlTJsN9QkJC1LRpU3377bcaOnSoR6+PrLNzbCJ4BNO409GVK1f09ddfm7bFxsb6qTZwl53bzt69e+vHH39UmzZtnF7bFy9eXE8//bSWLVumqlWr+qRe8K5gbTft/N2Da8H++eXLl0/vvPOOPv30UzVq1MjpfuHh4erYsaNWrVpFApaXBVPbedNNN6l///6qXbu2W/f6IyMjFRsbq19++UWvv/46CVg2Yue2k2uZ4Gan2KxSpYoGDhyohg0bmpZodyYiIkLt27fX/Pnz9cknn7idgOWP56hwzk79+m233aY777zTZZJhTEyMBg8erN9//z1LCVhPPPGEy/vyuXLlUsuWLTVv3jxNnz6dBCw/sVN8IudgOcIsSklJ0e+//679+/crPj5ekZGRKlmy5P+1d0cvTTVwGMd/7kJIcCpEGKFQeGMLIkTs/79OiBAZKcVM2MwrKVdouvf+hddXeNZ2PH4+/8AZ+Owc3fnuWLu7u1N7XNx9jMfj6vf7NRgM6vv37zUej6vT6dTy8nKtra1Vr9erra2t6nSm19vd3t7W/v5+ff36tc7OzqrT6dTTp0+r1+vVmzdvpnacWXrIj0r8t6Zsc1ZOTk7q+Pi4Tk9P6+Lioq6urmppaam63W5tbGzU27dva2VlZd4vM9Kmfd7l9PS0Pn78WMPhsH79+lXr6+v16tWr2tnZ+c8/DJkv25zvNmdxPZ5MJrW/v19fvnyp0WhUT548qefPn9e7d+/qxYsXUznG32CbzptN1qZ9PrbfO9uuTdu8S1PPnefn5/Xhw4caDof148ePevbsWW1ubtbe3t69bhq0XVv2+ZjPm01976Xass3/09af332dnJzUp0+fajgc1uXlZa2trdXm5ma9f/++sV+katM2H9O58/fv39Xv9+vbt291dnZWl5eXdXNzU91ut1ZXV2t7e7u2t7en+ln/PLRpn3d57OfOh8g2Z7vN6+vr+vz5cw0GgxqNRvXz58+6vr6u5eXlWl1dra2trXtHVHeZx33Uv6Et+2zKdf3m5qYODw/r6OioRqNRjcfjWlxcrPX19er1evX69eupvB/Oz8/r4OCgBoNBXVxc1J8/f6rb7dbLly9rd3f3wd+/rGrPNquas0+mY57/jlCEBdWuCwTtY580lW3SVLZJk9knTWWbNJl90lS2SVPZJk1mnzSVbdJk9klT2SZNNc8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      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 198,
       "width": 1200
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
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      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 198,
       "width": 648
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
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\n",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 198,
       "width": 1033
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_1d_row(torch.cat((a, a.grad)), background=['w', '20'], name='full_tensor.pdf')\n",
    "plot_1d_row(torch.cat((layer.weight[0], layer.weight.grad[0])), background=['C5', '20'], name='weights.pdf')\n",
    "plot_1d_row(torch.cat((b, b_grad)), background=['w', '20'], name='full_results.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-13T11:36:50.536089Z",
     "start_time": "2019-08-13T11:36:50.532147Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor([[[0., 0., 0.]]])"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "layer.weight.grad.fill_(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-13T11:36:50.547999Z",
     "start_time": "2019-08-13T11:36:50.538689Z"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_tile(tile, grad, start=0, end=6, tile_name='a'):\n",
    "    tile1 = tile.clone().detach().requires_grad_(True)\n",
    "    tile1_b = layer(tile1[None])[0]\n",
    "    tile1_b.backward(gradient=grad)\n",
    "\n",
    "    plot_1d_row(torch.cat((tile1, tile1.grad)), background=['w', '20'], name=tile_name + '_tensor.pdf')\n",
    "    plot_1d_row(torch.cat((layer.weight[0], layer.weight.grad[0])), background=['C5', '20'], name=tile_name + '_weights.pdf')\n",
    "    plot_1d_row(torch.cat((tile1_b, grad)), background=['w', '20'], name=tile_name + '_results.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-13T11:36:50.993890Z",
     "start_time": "2019-08-13T11:36:50.552994Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 198,
       "width": 648
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 198,
       "width": 648
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 198,
       "width": 648
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_tile(a[:, 0:6], b_grad[:,0:4], tile_name='a')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-13T11:36:51.441600Z",
     "start_time": "2019-08-13T11:36:50.995608Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 198,
       "width": 648
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 198,
       "width": 648
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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5T24tLS2t0fK5B6WFehJsfc9rt912i2nTpsXVV18dd955Z3zyySdx7rnnVjl+rbXWiuOPPz4uu+wyTzmtI8VamzV13333xR133JHtl5SUxO9///s62dbgwYPj9NNPj0MOOcQBcB0q9trMZDLx85//PPvwnoMOOij22Wefgm6D4lWs9el7HaBxECICUKVFixYl+jX9pT53fO76aqsh5rV8+fKIWHEgUd26R48eHaNGjXKgUYeKtTZrYtq0aXH88ccnXjvxxBNrdRZiPiZNmpQ94+yAAw6ok21Q/LX5xz/+MV5++eWIiGjXrl3iMk2avmKtT9/rAI2DeyICkLdVn35Ym/GZTKaQ06lyOzUdX928brvttujdu3dcfvnlMXPmzNSxS5YsiQsuuCB69uwZF110UXz33Xc1mhu1U6y1WZW5c+fG8OHDK13GfOWVV9Z6na+//nrMmjUrZs2aFe+//35Mnjw5HnjggTjhhBOiffv2kclk4uWXX44DDzwwfvzjH8fSpUsL8VaoRjHV5pw5c2L06NHZ/oUXXljpXnI0L8VUn2nbqel43+sAdcOZiABN3AcffJDXuE6dOkWnTp0Sr6288fhK5eXlNdp27vh27drVaPmq1Oe8xowZE6ecckritWHDhsXIkSNj6NCh0bVr11i8eHHMmDEjxo8fH2PGjIl58+bF4sWL4/zzz88GOa1bt67RHJuDplib+fjmm29i3333Tbz/zTbbLCZMmFDjs29WtboHEQwYMCAOPvjguPjii+PYY4+N8ePHR0TEvffeG8uWLYuxY8fWentNWVOtzVNPPTX7AIntt9++0r6NxqEp1qfvdYDGQYgI0MT16tUrr3Hnn39+XHDBBYnXcn+pX7JkSY22nTu+rg426mpeU6dOjdNPPz3x2pgxY+Kkk05KvNaxY8cYNGhQDBo0KH72s5/FPvvsE2+99VZERDzyyCNx/vnnx2WXXVajOTYHTbE2q/Ptt9/GAQccEJMnT86+1r1793jqqadigw02qLPtrr/++vHQQw/Ff/7nf8bTTz8dEREPPvhg3HvvvXH44YfX2XYbq6ZYmxMnToz7778/IlactXXTTTdFq1YOBRqjplifvtcBGgeXMwNQpdx7/6z6RMZ8fP7556nrq636mtcll1ySvWdSRMSoUaMqHWjk2njjjePRRx9NnFF21VVXxWeffVajOZKuWGszzXfffRc//vGP49lnn82+tu6668YTTzwRm222WZ1vv1WrVjFmzJjEa9dcc02db7e5KcbaXLRoUYwaNSrb/+lPfxo77bTTGq+XxqcY63N16/G9DlCchIgAVGnzzTdP9D/++OO8l12yZEnil/qOHTvG+uuv3+DzWt343PVFrDhjbMKECYnXVr2XWJpevXrFEUccke0vW7Ys7rvvvhrNkXTFWptVyWQycfzxx8fDDz+cfa1t27YxceLE2G677ep026vq06dPbLvtttn+pEmTYt68efW2/eagGGvzzjvvjA8//DAiVtTdyJEj44MPPkhtc+bMSaxj4cKFiZ8LUBqnYqzPNZ3X6sb7XgeoG65hAGji1uSm51tvvXWiX93Nx1eVe8+m3HWtiTWZ1+LFi2Pu3LnZfrdu3SrdMyoiYsaMGYnLo3r37r3ae85VZffdd4+//OUv2f7rr7+e97LNRVOszar88pe/jNtuuy3bb9OmTYwbNy6GDh1a59vOtcUWW2Qvy8tkMvHBBx/EuuuuW+/zKGZNrTZXvV/cokWLYtCgQTVex4MPPhgPPvhgtt+vX7+YOnVqQeZHzTS1+lzdunyvAxQnZyICUKW+ffsm+q+++mrey+aO3WabbQoyp4g1m9frr7+eOACral4LFixI9Lt27VqDGa44iFlVTS/NIl2x1ubqnHfeeXHddddl+y1btox77703hg0bVqfbrUruwwC+/fbbBplHU9WYapPmp1jr0/c6QOMgRASgSkOHDk3cnPy1117LO3B48cUXE/299tqrYPPq0aNHbLHFFtn+rFmz4tNPPy3ovDp06JDoL1q0qEZzzB1fn0//bQ6KtTZz/f73v4+LL7442y8pKYlbb701DjzwwDrbZnVyPys1PZAmXWOpTZqnYq1P3+sAjYMQEYAqtWnTJvHL+KJFi2LcuHHVLrdkyZLEZW+tW7eOffbZp6BzGzFiRKJ/55135rXcXXfdlejvv//+qx3XvXv3RP/dd9+t0dMicy/zyz2DgTVTzLW50q233hpnnHFG4rUxY8bET37ykzrZXj6++eabxCV4paWlsdFGGzXYfJqiYqzN0047LTKZTI3aqg8Aiog4+uijEz93KXPjVIz1uZLvdYDiJ0QEINWqNxKPiLj22murvR/TX/7yl5g/f362v99++xX86be587r55psT9/1anYkTJ8bbb7+d7ffr16/Ky546d+4cffr0yfbLy8vzvon6smXLKh387LzzznktS/6KtTYjIh5++OH42c9+lpjPZZddFieeeGLBt1UTV155ZSxdujTb33PPPaNNmzYNOKOmqZhrE4q1Pn2vAzQCNf1fSU3TNC29RURm1dbYVVRUZLbffvvEe7r22murHD9r1qxMx44ds2NLSkoyU6ZMqXY7PXr0SGzj2WefrXaZ4cOHJ5Y57bTTqhz71VdfZXr16pUYP27cuNT1n3vuuYnxXbt2zcycObPaeZ122mmJ5UpLSzNlZWXVLlfX1Gb91ObTTz+dadOmTWKZX//61zV9e6muuuqqzDfffFOjZe67775My5YtE/N69NFHCzqv2lKb9bffzNezzz6bWPfRRx9dkPWef/75ifXeeuutBVlvXVKfvtcb0fd6g/8erGla024NPgFN07Sm1prawUYmk8k8/vjjmZKSksQBxKWXXpopLy9PjHv++eczG2+8ceL9H3XUUXltozYHG2+88UalsOaUU07JLFiwIDFu6tSpmW233TYxbtddd612/V999VXiwCkiMl26dMncddddmeXLl1ca/95772UOOeSQSr/Un3XWWXn9HdQ1tVn3tfnPf/4z065du8T4Aw44IDNr1qwatzQdO3bMdO7cOXPqqadmXnnllcyyZctS53TUUUdV+vffb7/98nr/9UFt1t9+M19rGiJWVdennnpqYr1XXnnlasfNnj27YO9lTalP3+uN6Hu9wX8P1jStabcGn4CmaVpTa03xYCOTyWQuuOCCSr+sdunSJbPPPvtkDjrooEzfvn0r/bx///6ZhQsX5rX+2h4M33bbbZW226FDh8ywYcMyhx56aGaHHXao9PONN9447wPUCRMmVDp7KyIy6667bmavvfbKHHHEEZkf/ehHmW233TZxQLay7bjjjpnFixfnta26pjbrvjZzz7Jak5Ym9yC4tLQ0s8MOO2T222+/zJFHHpk55JBDMnvuuWemS5cuq133kCFDKh2UNyS1Wb/7zXysaYi4pvW/2267Fey9rCn16Xu9EX2vN/jvwZqmNe3W4BPQNE1raq2pHmxUVFRkzj777EyLFi3yOgDcaaedMp988kne61+Tg+ExY8ZUOnOhqtanT5/MtGnTavTeH3300Uznzp1rfBB8wAEHZL766qsabasuqc26r82GChHzbSUlJZkTTjihxpdC1zW1Wf/7zeoIEf+P+vS93oi+1xv892BN05p282AVAPJSUlISl156aTzzzDOxxx57RElJyWrH9ezZMy6//PJ44YUX6u2pryeddFK89tprMWLEiGjVqtVqx3Tr1i1Gjx4dkyZNqvKm61UZMWJETJs2Lc4999xKT3fM1aJFixg2bFiMGzcuxo0bF+uuu26NtkXNFXNt1pUHH3wwTjnllOjbt2+0aFH9r3OdO3eOUaNGxZQpU+LGG2+Mdu3a1cMsaY61SeNRzPXpex2gOJVkMpmGngNAk/L/L33Jaqr72Y8++igmTZoUn376aZSXl8eGG24YvXv3ju9973tVHojUh7KysvjHP/4Rn3zySXz99dexwQYbRK9evWLnnXeu8kCkpmbMmBGTJ0+Ozz//PBYsWBBrrbVWdOrUKTbffPMYPHhwtG/fviDbKbTcfxe12TR8/fXX8dZbb8WsWbOirKwsFi9eHK1atYqOHTtGly5don///rH55ps39DRTqc2mWZtNhfr0vd6IvtftSIA6JUQEKLDmEiLS+DSXA2EaH7VJMVOfFCshIlDfXM4MAAAAAKQSIgIAAAAAqYSIAAAAAEAqISIAAAAAkEqICAAAAACkEiICAAAAAKmEiAAAAABAKiEiAAAAAJBKiAgAAAAApBIiAgAAAACphIgAAAAAQCohIgAAAACQSogIAAAAAKQSIgIAAAAAqYSIAAAAAEAqISIAAAAAkEqICAAAAACkEiICAAAAAKmEiAAAAABAKiEiAAAAAJBKiAgAAAAApBIiAgAAAACphIgAAAAAQCohIgAAAACQSogIAAAAAKQSIgIAAAAAqYSIAAAAAEAqISIAAAAAkEqICAAAAACkEiICAAAAAKmEiAAAAABAKiEiAAAAAJBKiAgAAAAApBIiAgAAAACphIgAAAAAQCohIgAAAACQSogIAAAAAKQSIgIAAAAAqYSIAAAAAEAqISIAAAAAkEqICAAAAACkEiICAAAAAKmEiAAAAABAKiEiAAAAAJBKiAgAAAAApBIiAgAAAACphIgAAAAAQCohIgAAAACQSogIAAAAAKQSIgIAAAAAqYSIAAAAAEAqISIAAAAAkEqICAAAAACkEiICAAAAAKmEiAAAAABAKiEiAAAAAJBKiAgAAAAApBIiAgAAAACphIgAAAAAQCohIgAAAACQSogIAAAAAKQSIgIAAAAAqYSIAAAAAEAqISIAAAAAkEqICAAAAACkEiICAAAAAKlKMplMQ88BoEkpKSmxYwUAoF5lMpmShp4D0LQ5ExEAAAAASCVEBAAAAABSCREBAAAAgFStGnoCAE3dF1980dBTgIiI6Ny5c6KvNikWapNipj4pVrm1CVDXnIkIAAAAAKQSIgIAAAAAqYSIAAAAAEAqISIAAAAAkEqICAAAAACkEiICAAAAAKmEiAAAAABAKiEiAAAAAJBKiAgAAAAApBIiAgAAAACphIgAAAAAQCohIgAAAACQSogIAAAAAKQSIgIAAAAAqYSIAAAAAEAqISIAAAAAkEqICAAAAACkEiICAAAAAKmEiAAAAABAKiEiAAAAAJBKiAgAAAAApBIiAgAAAACphIgAAAAAQCohIgAAAACQSogIAAAAAKQSIgIAAAAAqYSIAAAAAEAqISIAAAAAkEqICAAAAACkEiICAAAAAKmEiAAAAABAKiEiAAAAAJBKiAgAAAAApBIiAgAAAACphIgAAAAAQCohIgAAAACQSogIAAAAAKQSIgIAAAAAqYSIAAAAAEAqISIAAAAAkEqICAAAAACkEiICAAAAAKmEiAAAAABAKiEiAAAAAJBKiAgAAAAApBIiAgAAAACphIgAAAAAQCohIgAAAACQSogIAAAAAKQSIgIAAAAAqYSIAAAAAEAqISIAAAAAkEqICAAAAACkEiICAAAAAKmEiAAAAABAKiEiAAAAAJBKiAgAAAAApBIiAgAAAACphIgAAAAAQKpWDT0BAIrT8uXL47XXXouPP/445s6dG+3atYsNN9wwBg8eHOuvv36Dzm3p0qUxefLkePfdd2PevHlRUVERHTp0iE022SS22Wab2HjjjWu97mXLlsXrr78es2bNii+//DJKS0uje/fu0adPn+jdu3cB3wV15dNPP42pU6fG7NmzY/HixdG9e/fYfPPNY8CAAVFSUtLQ06sXdfkZIV0x7ju//PLLmDx5cnzyySexYMGCaNmyZXTq1Cl69+4d/fv3j7XXXrtB5kX9K8b6BKDxECICkLB48eK4+uqr45577omysrJKP2/dunUMGzYsfvOb38Q222xTr3N7//334w9/+EOMGzcuFi1aVOW47t27Z+fYtWvXvNY9e/bsuPrqq2Ps2LGxcOHC1Y7p169f/OIXv4hDDz20VvOnbr388stx1VVXxcsvvxwVFRWVft6jR484+uij48QTT4yWLVvW6Vw6d+5c62UvuOCCOOmkk2q1bF1+RkhXjPvOiRMnxk033RSvvPJKlWPWWmutGDFiRJxyyinRt2/fgm7/9NNPj9tTrE7yAAAenklEQVRvvz3x2uGHHx7XX399QbdD9YqxPmfOnBmTJ0+OKVOmxJQpU+LNN9+M8vLy7M/PPPPM+PWvf12rdTfUPhigqXM5MwBZb7/9duy5555x3XXXrfYgI2LFmXqPP/547LXXXnHrrbfWy7wqKirimmuuiV122SXuuuuu1HAkYkUgeMcdd8RHH32U1/onTpwYQ4cOjdtuu63KADEi4o033ohRo0bF0UcfHV9//XWN3gN167LLLosf/vCH8eKLL642QIyI+PDDD+Oiiy6KESNGxOzZs+t5hnWrrj8jpCu2feeiRYvimGOOif/6r/9KDRAjVpy1+uCDD8awYcNizJgxBZvDq6++GnfccUfB1kftFVN9vvTSS3HIIYdE7969Y8iQITFy5Mi45ZZb4rXXXksEiAAUJ2ciAhAREXPmzIlDDjmkUrjSr1+/6NmzZ3z11VcxZcqUbMi2ZMmSOPPMM6Ndu3ZxyCGH1Nm8vvvuuxg5cmQ8/PDDiddbtmwZ2267bXTv3j3WWWedWLBgQbzzzjvxySef1Gj9Y8eOjVGjRiWCp5KSkth+++2jZ8+esXTp0vj3v/8dH3zwQfbnEyZMiIULF8Z9990XrVr5Km1oV1xxRVxzzTWJ19Zff/3o169frLPOOjFjxox45513sj977bXX4ogjjojHHnss2rZtW9/TLbi6/oyQrtj2ncuXL4+jjjoqXnzxxcTrpaWl0b9//+jevXssX748Zs6cGdOnT49MJhMRK0KkCy+8MCIiTj755DWaw7Jly+L000/PrpuGU2z1+dZbb8Wzzz5b8PUCUD8c+QAQmUwmjj322MRBxjbbbBM33XRT4vK2BQsWxH//93/Hn/70p+xrv/zlL2O77baLrbfeuk7m9pvf/CYRjrRt2zbOOOOMOPLII1d7/6bPPvssJkyYEHfeeWe1637nnXfi9NNPTwSIu+66a1x11VWx+eabJ8Y+//zz8ctf/jJ75tbzzz8fF1xwQVxyySW1fWsUwNNPPx1XXnlltl9SUhJnn312nHDCCVFaWpp9/eWXX46RI0dma/zNN9+MM888M2688cY6n+OIESOy4Uw+1l133Rqtvy4/I6Qrxn3n//zP/yQCxJKSkhg1alScfvrp0bFjx8TYGTNmxK9//et44YUXsq9deumlsffee8eWW25Z6zn84Q9/yAb3bdu2rfbMWOpGMdZnVdq2bRvrrbdefPzxxwVfd13vgwGakxL/QwhQWCUlJYkd6xdffNFQU8nb+PHj49hjj832e/ToEU8//XR06tRptePPPvvs+OMf/5jt77fffvHXv/614PN69tlnE2dCdO/ePR555JHYbLPN8lp++fLlqWcK/vjHP46nnnoq299tt93innvuibXWWmu14z/77LPYa6+9Ys6cORER0apVq/j73/+e93waWu49ohpDbabJZDKx++67x7Rp07KvXXrppfGLX/xiteM//PDD2GOPPbKXopeUlMQzzzwT2223XcHnturfdV3eA66uPyP1pbHWZrHtOzOZTGy//faJ0Gj06NHxq1/9qsplli9fHgcddFC8/PLL2deOPPLIuO6662o1h/fffz922223WLJkSbRo0SLOO++8uOCCC7I/b4z3RFSfhXPzzTfHhRdeGH369IkBAwbEwIEDY8CAAbHVVlvF/fffnzgLtlD3RGyMNZev3NrMZDLN4+lhQINxT0QAEmdyRUT87ne/q/IgIyLi3HPPjU022STbnzBhQrz55psFnVN5eXmceeaZ2X6bNm1i7NixNQrs0sKRGTNmJALEtddeO66//voqA8SIiA033DD++7//O9tfvnx5pb876s9jjz2WCBAHDRoUP//5z6sc36NHjzj33HOz/Uwm06j//er6M0L1im3fOW3atESA2K1btzjllFNSl2nVqlVceumliddW3TfW1K9+9atYsmRJREQce+yx0b9//1qvizVTbPUZsSLQ++CDD+KZZ56Jq6++Oo488sjYZptt6vxhVwAUhhARoJmbPn16TJ8+PdvfYostYtiwYanLrLPOOnHMMcckXnvwwQcLOq977rkncR/Ck046KbbaaquCrT/3IHn//feP7t27V7vcfvvtlzjIeuyxx2Lx4sUFmxf5y625X/ziF1FSkn4SxhFHHJG4pPOpp55qtA/JqevPCOmKcd+Z+6Cc3XffPfU/RlbadtttY6ONNsr2y8rKarVfu/fee7OXUnft2jXOOeecGq+DwijG+oyI6NSpU7Rp06ag6wSg/ggRAZq5J554ItHP90bqBx98cKL/t7/9rWBziojE/dpat26deoZZbbz66quJ/m677ZbXci1atIhdd9012y8vL3eT+AawdOnSxN9727ZtY9999612udLS0hg+fHi2v2zZsvjf//3fOpljXavrzwjpinHfmRv8bbjhhnkvmzt2wYIFNdr2l19+Geeff362f9FFF0WHDh1qtA4KpxjrE4DGT4gI0Mw999xzif7QoUPzWm6jjTZKnJH33nvvFeypr//+97/jX//6V7a/5557rvYBEWti5X0NV6rJQwRyxz799NMFmRP5e/311xMPaxgwYEDeZ7fk1vjzzz9f0LnVh/r4jJCuGPedXbt2TfTLy8vzXnblJcgr5T6EpTrnnXdefPnllxGx4gFVuWEU9asY6xOAxk+ICNDMrXyCZsSKs+xqcv+qHXbYocp1rYm///3vif6qZ/4Vyrx58xL9mpwxkzu2UO+b/OX+nQ8cODDvZQcNGpTov/322wWZU32qj88I6Ypx39m/f//E5ctvvfVWXsuVl5fHjBkzsv0tttgi1llnnby3+8ILL8R9990XERFrrbVWXHHFFXkvS90oxvoEoPFzN22AZmz+/PmJp0x26dKlRgeOPXr0SPTfe++92HPPPdd4XlOmTEn0Vx7QlJeXx/jx4+Ohhx6Kd999N+bOnRtt27aNLl26xJAhQ2LvvfeOvffeu9r74kVEpbPWli5dmvf8vv3220T/3XffzXtZCuO9995L9HNrMc2qZ9msbl2FNm3atDj++OPjjTfeiLKysqioqIh11103Ntxwwxg6dGgMGzYsdtlllxqtsz4+I1StWPedHTp0iAMPPDDuv//+iFgRNr/99tux9dZbpy535513Js5ErMlZhEuWLEk8/fnkk0+OLbbYooYzp5CKtT4bSl3sgwGaKyEiQDM2a9asRH/VG+vnI/ceWrnrq63cp0Fuvvnm8frrr8eoUaMqbePbb7+Nr776Kt5555244447Yvvtt4+rr746BgwYkLqN3Ev1ysrKqj3QXnXsqubNmxfz5s2LddddN6/lWXNrUrulpaWx/vrrZy+9XLBgQXz11Vex3nrrFXSOK7355puVarq8vDw+++yzmDRpUlx//fUxYMCAuOiii2LHHXfMe52rqovPCFUr1n1nxIrLip977rlsWHLcccfFgw8+WOWDo1544YW46KKLsv2NNtqoRvfXvOaaa2LmzJkREdGzZ8847bTT1uwNsMaKuT4bQl3sgwGaK5czAzRj33zzTaJf03uq5Y4v1FNuVw3p2rRpE2+++Wbsv//+eR3I/Otf/4oDDjig0k3lc+WeKTN58uS855d7FlhE4d47+SnW2q2tKVOmxA9/+MO46aab8hpfH58RqlbM9bfBBhvEgw8+GD179oyIFWdK77rrrnHJJZfESy+9FO+99168/fbbMXHixBg5cmQccsgh2XsndunSJe65555o3759Xtt65513YsyYMdn+5ZdfHmuvvXbB3gu1U8z1Waxqug8GaK6ciQjQjC1cuDDRLy0trdHyueNXfdDFmlj1gKVVq1Zx7LHHxrJlyyIiolevXvHTn/40hgwZEh06dIg5c+bE008/HX/5y1+y21+8eHH87Gc/i6eeeiq22mqr1W5jxx13jDvuuCPbf+ihh/I6g2bu3Lnx0ksvVXq9UO+d/OT+fRdL7a6qTZs2scsuu8T3v//96Nu3b3Tt2jXatGkTCxYsiGnTpsUTTzwRTzzxRGQymYiIWL58efz2t7+N9u3bx1FHHZW67vr4jFC1Yt13rtSnT5947rnn4k9/+lPcfffdMXPmzLj22mvj2muvXe34li1bxgEHHBAXXnhhlWcs5spkMnH66adn627EiBExbNiwgr0Haq/Y67O+1OU+GKC5EiICNGOLFy9O9PN9uu1KuQcaueurjSVLliTuObjqwcsBBxwQN954Y2KevXv3jl122SWOPfbYOOigg7JnYi1evDhOPvnkePLJJ1e7nb322ivatm2bXf/06dPj/vvvj0MPPTR1fpdeemksX7680uuN9SCrscr9+y6G2l3Vb3/72/iv//qvKi9xHzhwYPzkJz+JN954I44//vjEGYRnnXVWfO9736vyvnL19RmhasW478xVUVEREdXPrUWLFnH88cfHyJEj8w4QIyL++te/xquvvhoREW3bto1LL7209pOloBpDfda1utwHAzRnLmcGIKumD1vIHb/yf/PXxMoD31zbbrtt3HzzzVUeDG266aZx1113JX4+efLkePHFF1c7vlOnTvGTn/wk8dqZZ54ZL7zwQpVz+8Mf/hB33333an/mQRUNqxhqd1WnnnpqXvfI7NevX0ycODE23njj7GtLly5NfbptfX1GyF+x1d9TTz0VQ4YMiUsuuST+/e9/p46tqKiIW265JQYPHhyjR4/OXtqcZu7cuXHxxRdn+7/+9a8r3UeP4lFs9Vkf6nIfDNCcCREBmrHcpzWu+nTOfOQebLZt27Ygc2rRovLX0znnnBOtW7dOXXbLLbeMI488MvHaQw89VOX40aNHx+abb57tL1q0KA4++OAYNWpUPPnkkzFjxoyYNm1a3H///TFixIjswwdatGgRXbt2Tawr90EtVO+jjz7Kqy1YsKDSsrm1Vgy1W1tdunSJ3//+94nXHn300SrvQ1afnxFWrxj3nStNmDAhjjrqqMTTeQcMGBA33nhjTJ48OT799NP44IMP4oUXXojzzz8/Nthgg4hYcSnnn/70p/jhD39Y6Z56uc4+++zs57Jv3741ehALda+Y67MY1XQfDNCcCREBmrE1DWJWvaRydeurrdwb83fq1Cn23HPPvJY9+OCDE/1XXnmlyrHt2rWLO+64I3EGQkVFRdx///1xxBFHxI477hi77bZbjBo1KrGe8847LzbddNPEujp06JDX/Pg/AwcOzKvdfPPNlZZd04Pkuqrd2tpjjz2iT58+2f5333232ntvrlRfnxFWr1j3nbNnz46TTz45vvvuu+xrJ598cjzxxBNx6KGHxqabbhpt2rSJdu3axTbbbBMnn3xyvPzyy7Hzzjtnx0+aNCnOOOOMKrfx1FNPxSOPPBIRK85Yu/LKK6NVK3dIKibFWp/FrKb7YIDmSogI0IzlPoHzq6++qtHyX375ZaJfqCAtdz39+vVb7ZlXq7P99ttHy5Yts/2ZM2dWeflnxIozs/72t7/Ff/7nf+Y1rxtuuCFOOumkmDNnTvb1Vq1a5XXZFIVTrLW7Jr7//e8n+m+//XaVY+vzM0JlxVp/N910U+LsqWHDhsX555+fWhsdO3aM22+/PXF29UMPPbTaJ9YvWrQozjrrrGz/yCOPjCFDhhRk7hROsdZnsavJPhigufLfhgDN2GabbZbof/rppzVaPnd8z54913RKEbFiXrNnz872cy8dTlNaWhodO3bMHjRVVFTEggULUkO+DTbYIO68886YPHlyPPLII/Hiiy/G7NmzY/78+bHeeutFjx49Yr/99otDDz00unTpEosWLUrMb+utt4611lqrFu+U2urVq1eiX5PaXbJkSeJSzw4dOsR6661XsLnVVu7ZrbkH8quq788IScW673zssccS/XyeOB+xIkg87rjj4vLLL8++Nnbs2Bg4cGBi3AMPPBAff/xxRKw4O+2YY46Jjz76KHXdZWVlif6iRYsSy7Ru3bpGD3ShesVan8WuJvtggOZKiAjQjHXq1Ck6d+6cDVTKyspi8eLFlS4VrcqHH36Y6BfqSYZbbrllvPzyy9l+TQO63PG5l2ZVZeXls9V54403EpcL9uvXr0bzY4VVg7yayq213FpMszIEqWpdDSX3iahpD7hoqM8IKxTjvnPhwoWJcK5NmzYxePDgvJdf9ZLmiIgpU6ZUGrPqZbGLFi2KYcOG1Xie48ePj/Hjx2f72267bTz33HM1Xg9VK8b6bAxqsg8GaK5czgzQzG211VbZP1dUVMTUqVPzXjb3crdV17UmVr0vUURUe5P/XLk3Qy/0GVa590naaaedCrp+qpdba//85z/zXjZ3bKHqdk3lXnKYdnZksX9GmoNi23fm1sC6666buGy9Ol26dEn0nYXVuBVbfTYGNdkHAzRXQkSAZm633XZL9P/xj3/ktdxnn32WOOuld+/eiQeUrIkf/OAHif4777yT97Iff/xxLF68ONtfb731ok2bNgWZ10oPPPBA9s/t2rWL4cOHF3T9VG/QoEGJm/1PmTIl77Ppch8ksvvuuxdyarWWe+bXyqfmrk6xf0aag2Lbd7Zr1y7RX/XfOB+545vDwzSasmKrz8agJvtggOZKiAjQzOU+UGTs2LF5LbdqkLa69ayJnj17xjbbbJPtz5gxIz777LO8ln3++ecT/ULf9P+xxx6LWbNmZfsHHnigg+0G0KZNm9hjjz2y/UWLFsXEiROrXW7JkiWJ+8a1bt26VpdkFtq8efMq1e6OO+5Y5fhi/ow0F8W272zfvn1iX/T111/HJ598kvfyb731VqK/uvtsjhw5Mr744osatXHjxiXWcfjhhyd+7lLmulFs9VnsaroPBmiuhIgAzdw222yTuDTy3Xffjf/93/9NXaa8vDxuu+22xGs/+tGPCjqvQw45JPvnioqK+NOf/lTtMt99912lcYUMiL755ps499xzs/3S0tI49dRTC7Z+auaggw5K9G+55ZbIZDKpy9x9992xYMGCbP8//uM/iuLJo7/73e9i0aJF2f5GG20Uffv2TV2mGD8jzUkx7jtzQ4+7774772VzxwqXG7dirM9iVpt9MEBzJEQEIM4666xEf/To0TF//vwqx19yySWJh1Psu+++sf3221c5/p577onOnTtn2/7771/tnH76059Gt27dsv2bbropXn311dRlrrjiisTZNF26dInDDjssdZnly5dXO5eIFQHiYYcdljiz5/TTT6/0lGDqz/DhwxMHeZMmTYo//vGPVY7/6KOP4pJLLsn2S0pK4swzz6x2OwMGDEjUb+49MVf13nvvxZNPPpnnO1jhlltuqRTs5fNU3fr6jFC1Ytt35t5aYcyYMZXub7c6t9xyS+Jy15KSkthnn32qXY7iVmz1WR/qcx8M0BwJEQGI4cOHJ57i+cEHH8T+++8f06dPT4z7+uuvY/To0XHLLbdkXystLY2zzz674HNaZ5114re//W22v2zZsjjssMPizjvvTDwZOSJiwYIFMXr06Lj66qsTr5933nmx9tprp25n0KBBcfnll1d6ryuVl5fH2LFjY+edd47XXnst+/rgwYPj5JNPrunbooBKSkrivPPOi5KSkuxr5557bvz+979PPEU2IuLvf/97DB8+PPFAkYMPPji22267gs5pzpw5ccQRR8Qee+wRN998c6UnQa/qzTffjKOPPjrOOeecxOsDBw6Mo446qtpt1ddnhKoV277zsMMOS/zHRnl5efzwhz+MP//5z5U+ExERc+fOjbPOOqtSDe6///6Jy+VpnIqtPldaed/F3Jb7MJ+vv/56tePSbt1Qn/tggOaopLrLfgComZKSksSO9YsvvmioqdTI7Nmz4z/+4z9izpw52ddKSkqiX79+0aNHj5g3b15Mnjw5Fi5cmFjupptuSlxWuTr33HNPInDbaaed4tFHH81rXuecc07iwCYiYv3114+BAwdG+/btY+7cuTFp0qRKD9U45phj4qqrrqp2/d26dcsGLuuvv3706dMnOnfuHBUVFVFWVhb/+te/Kj1wYLvttouxY8fG+uuvn9d7KBadO3dO9BtLbVbniiuuiCuuuCLxWufOnaN///6x9tprx4wZM+Ltt99O/Hy77baLxx57LK/7WQ4YMCBxIDpu3LjYZZddVjv2pZdeigMPPDDxWteuXWPLLbeMTp06RWlpacyfPz+mT5++2gPhXr16xcSJEys9KTdNXX9G6kNjrs1i23e+8cYbsf/++ycuzYxY8aCUAQMGRNeuXWP58uXx4YcfxltvvVUpcN5ss81i4sSJlf5Naiv3M3H44YfH9ddfX5B11xf1uXq1/W7P3afW1CabbFLpISgrNcQ+uCHl1mYmkympYihAQbRq6AkAUBy6d+8eDzzwQBx77LHx3nvvRUREJpOJqVOnxtSpUyuNLy0tjYsuuqjag4w1dfHFF0fr1q3jxhtvjIqKioiI+PLLL+Opp56qcpkzzjgjRo8eXeNtffnll6mXqkasuA/fVVddFe3bt6/x+qkbZ555Zixbtiyuu+66bI188cUXVd7/a8iQIfHnP/+53h6IU1ZWFmVlZdWOGz58eFx77bXRqVOnGq2/Pj8jVFZs+85+/frF2LFj4xe/+EXiKbuLFi2qdv82dOjQuPnmmwsWINLwiq0+G0Jd74MBmhOXMwOQ1adPn3jmmWfilFNOqfJ/4Vu3bh177713PPnkk3HcccfV+ZxatGgRF1xwQYwbNy523333aNmy5WrHtWrVKoYNGxZPPfVU/OY3v0lc4prmxBNPjC222CJ1TMuWLWPPPfeMhx9+OG655RYBYpEpKSmJc845Jx5++OHYZZddqvy333TTTeO8886L8ePHR/fu3etkLltuuWWcdtppscMOO0SbNm2qHb/OOuvE8OHD49FHH43bbrutVgevdf0ZoXrFtu8cPHhwPP/883H++efndd/WHXbYIW644YZ49NFHY+ONN67TuVH/iq0+61JD7IMBmhOXMwMUWGO9nDnX8uXL49VXX42PPvooysrKon379tG9e/cYPHhwg56lMnfu3PjnP/8Zc+bMiQULFkSnTp1iww03jB133HGNnrL7+eefx1tvvRUffvhhLFiwIJYvXx4dOnSIXr16xeDBg6Njx44FfBcNozFfklcTn3zySUydOjVmz54d5eXlscEGG8Rmm20WO+ywQ70GZ8uWLYt33303Pvzww5gzZ04sXLgwli1bFu3bt49OnTpF7969Y/vtt49WrQp7YUhdfUbqUlOqzWLcd678TJSVlcXXX38dLVq0iA4dOsQmm2wSAwYMiPXWW69B5tVYqM/GqaH2wfXJ5cxAfRMiAhRYUwkRaXqa0oEwTYvapJipT4qVEBGoby5nBgAAAABSCREBAAAAgFRCRAAAAAAglRARAAAAAEglRAQAAAAAUgkRAQAAAIBUQkQAAAAAIJUQEQAAAABIJUQEAAAAAFIJEQEAAACAVEJEAAAAACCVEBEAAAAASCVEBAAAAABSCREBAAAAgFRCRAAAAAAglRARAAAAAEglRAQAAAAAUgkRAQAAAIBUQkQAAAAAIJUQEQAAAABIJUQEAAAAAFIJEQEAAACAVEJEAAAAACCVEBEAAAAASCVEBAAAAABSCREBAAAAgFRCRAAAAAAglRARAAAAAEglRAQAAAAAUgkRAQAAAIBUQkQAAAAAIJUQEQAAAABIJUQEAAAAAFIJEQEAAACAVEJEAAAAACCVEBEAAAAASCVEBAAAAABSCREBAAAAgFRCRAAAAAAglRARAAAAAEglRAQAAAAAUgkRAQAAAIBUQkQAAAAAIJUQEQAAAABIJUQEAAAAAFIJEQEAAACAVEJEAAAAACCVEBEAAAAASCVEBAAAAABSCREBAAAAgFRCRAAAAAAglRARAAAAAEglRAQAAAAAUgkRAQAAAIBUQkQAAAAAIJUQEQAAAABIJUQEAAAAAFIJEQEAAACAVEJEAAAAACCVEBEAAAAASCVEBAAAAABSCREBAAAAgFRCRAAAAAAglRARAAAAAEglRAQAAAAAUgkRAQAAAIBUQkQAAAAAIFVJJpNp6DkANCklJSV2rAAA1KtMJlPS0HMAmjZnIgIAAAAAqYSIAAAAAEAqISIAAAAA/L927oAGAAAAQVj/1jQgwR+DOVk+EQEAAACAZYkIAAAAACwREQAAAABYIiIAAAAAsEREAAAAAGCJiAAAAADAEhEBAAAAgCUiAgAAAABLRAQAAAAAlogIAAAAACwREQAAAABYIiIAAAAAsEREAAAAAGCJiAAAAADAEhEBAAAAgCUiAgAAAABLRAQAAAAAlogIAAAAACwREQAAAABYIiIAAAAAsEREAAAAAGCJiAAAAADAEhEBAAAAgCUiAgAAAABLRAQAAAAAlogIAAAAACwREQAAAABYIiIAAAAAsEREAAAAAGCJiAAAAADAEhEBAAAAgCUiAgAAAABLRAQAAAAAlogIAAAAACwREQAAAABYIiIAAAAAsEREAAAAAGCJiAAAAADAEhEBAAAAgCUiAgAAAAArYviXxOmyIN8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 198,
       "width": 648
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_tile(a[:, 4:10], b_grad[:,4:8], tile_name='b')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-08-13T11:36:51.882398Z",
     "start_time": "2019-08-13T11:36:51.443348Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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7zmI7kydPVm3jjvPFOUpJjU9zDJPfrVq1spgU+9e//qXapm/fvsXSt48//ljVTnGMjnDWa8QZiE3nxaY5HTt21Lc9bty4IiV1bty4YfaLDUlE53DH5+Du3btKWlqayccckUS8ffu20Y0FDh8+bHE7wx9knnzySZvbdpWSGp/muOu5s2/fvqo2Fi9ebNd2H3/8sUP79Y9//EO1/4EDBzp0/0VRmmLz6tWrNifrsrOzjeZZ//LLL4uph7a5ePGiKsFdoUIFzfrHjh1THUflypWV7Oxsi+0YblepUiVHHUKRkUQsnYtj7jsOwKKTJ0+q5lOrV6+edO/eXXMbPz8/GT16tGrdl19+6bA+paSkyI8//qgvBwUFyfDhwzW30el08vrrr6vW/fe//7XYzqJFi/TlWrVqyd///nc7egxXMIy5119/3eJ8My+++KIEBQXpy5s2bTKar7Co8vPzZfr06fpycHCwLFiwwKFtOOs1Avu4a2yas3LlSv08R2FhYUZzkdkqNDRUvLyY3tqV3PE5CAgIKNa5Pnfu3KmaV7Zt27bSrFkzi9s1b95c2rRpoy/v27dPLl68WCx9hDZ3PXdeunRJVe7Zs6dV2/Xq1UtV/v333x3VJVEURb744gvVuqFDhzps//g/4eHhNp9Py5YtK8OGDVOt27NnjwN7Zb/q1atLZGSkvnzz5k39nPemGMZ/ly5dpGzZshbbiY6OlmrVqunL169fNzm3JOAoJBEBJ9mwYYOqPGTIEKu2M7yZyg8//OCwPm3ZskXy8vL05WeeeUZ8fHwsbte3b1/x8/PTl//3v/9JTk6O2fqrVq1STbw+fvx48fb2trPXcKacnBzZunWrvuzv7y99+/a1uJ2Pj4/0799fX87NzZUtW7Y4tG+bN29WTV49bNgwqVChgkPbcNZrBLZz59g05ebNmzJx4kR9ecGCBRIYGFjs7QKOtm/fPlW5S5cuVm/buXNnVfm7775zSJ9gPXc+d6anp6vKVatWtWq7wgkUEZHU1FSH9WnPnj2qZHelSpWka9euDts/ii46OlpVLvzZ0NWCg4NV5bS0NLN17Y1/U3Ud+RoADJFEBJxk27ZtqnLhX+O1VKtWTSIiIvTls2fPSmJiokv79OAOYQ/cvXtXfv31V7P1V6xYof/b09NTYmNjbesoXObnn39WfeB57LHHrE4AG8aTYbwVVeG4EhF5/vnnHbp/Eee9RmA7d45NUyZMmCA3b94UEZGOHTvK4MGDi71NoDgYfkGvX7++1ds2aNBAVS480hvO4c7nTsO7HRce8arFsJ5h4qYoVq5cqSo/99xz4unp6bD9o+gMRy8a3tnblZKSkvR/lylTRkJCQszWtTf+TdUtPGoYcDSSiICTnDp1Sv+3h4eHxMTEWL1tq1atVOXTp087vE8i9z9I2tsnw309cO/ePTl27Ji+HBUVJaGhoTb0Eq7kjBix1969e/V/BwcHS5MmTRy6fxH3Pv6HXUl6bnbs2CH/+c9/ROT+pVdLly4t1vaA4nT79m1V2ZYRtYZ1OS86nzufO5944glVufDnRy1HjhxRla25vN4aGRkZsm7dOtU6w0tn4XqGl68bJuNcZc+ePXLlyhV9uVWrVpqXJ8fExKgetzb+MzMzJSEhQV+uV6+e6moYwNFIIgJOkJKSIn/++ae+HBYWZtPJvUaNGqry2bNnHdKvwvvR6XRG7TiiT4cPH5aCggJ9uWXLlvq/f/75Zxk9erQ0atRIAgMDpVy5clKjRg3p1auXLF68WFJSUqzuD4qH4fNas2ZNq7etXr265r6K4tKlS6rX1GOPPaafzyk+Pl4mTpwoTZo0kZCQEPH19ZVHH31UOnXqJHPmzJGrV69a3Y4zXiOwj7vGpqGsrCzV3LaTJk1SzZEElDSGo9ays7Ot3rbw1CYiIlevXpW7d+86pF+wjjufO1988UXVKD9rfnDJzMyUZcuW6cvly5e3ei5FS9avX6+aw65Zs2bSqFEjh+wbjmM4LYItAzWKy6VLl4zm0H7ttdc0twkMDJRnn31WX969e7dVifrPPvtMdW41nAoLcDSSiIATGP5CZjh3iyWG81ycP3++yH26efOm6oN7aGioTfMUWtuno0ePqsp169aV1NRUee655+Txxx+XTz75RE6dOiV3796V9PR0uXTpkmzatEnGjx8vNWvWlIULF9pwVHC0osSuj4+Pao7C1NRUuXXrlkP6ZSqusrKy5M0335TGjRvL/Pnz5fjx43L79m3JysqSpKQk2bFjh/ztb3+T2rVry5QpU1RzHZrirNcI7OOusWnovffek99++01E7n9ZnzJlSrG0AziL4aWi169ft3pbU3U5NzqXO58769atq7rx3po1azRvmJaRkSGxsbGq0V4zZsyQcuXKOaQ/hpcyc0MV9xMfHy+7du3Sl3U6ndGNdpwhPz9fbt26Jfv27ZNJkyZJVFSUXLhwQf/44MGD5emnn7a4n9mzZ+tHUhYUFMiAAQM0f/zevn27/O1vf9OXq1WrZjFZCRQVSUTACQzvXmfr5byG9R1xNzxn9cnwC0O5cuWkffv2Vt1lOjU1Vd58800ZNmyYajQjnMcdY1fEOK5CQ0OlT58+snDhQlEURXPbrKwsmTlzpvTu3Vvz7nXueuy4ryQ8P6dPn5Y5c+boy0uWLBFfX1+HtwM4U7169VTlgwcPWr1tXFyc0TrOjc7l7ufOadOmyaRJk/RXF0yYMEE6duwoX3zxhRw/flzOnz8vv/zyi8yfP1+ioqLk+++/1287ZswYGT9+vEP6cfXqVdm+fbu+XKZMGeaydTOKosi4ceNUn/v69u2rmku+uPz444+i0+n0i5eXl1SoUEHatGkjc+fO1c87qtPp5NVXXzVKSJtTuXJl+emnn/QjhM+cOSNRUVEyZcoU2bVrl5w7d05OnTol3333nQwZMkS6du2qnw+xYsWKsmnTJgkICCiegwb+P9vuoQ7ALoZ34rLm7q6FGX7p1Lqzl7v1yfDuYNOnT9f/oubt7S0jR46U3r17y6OPPippaWkSFxcnS5culZMnT+q3WblypdSoUUPeeecdm/qIonPH2BUxjqtPPvlEH1ceHh7y/PPPy4ABA6RmzZqSnZ0tJ06ckE8//VT279+v3+bHH3+UcePGyfLly0224a7Hjvvc/flRFEVGjhypn+D96aeflu7duzu0DcAVDG+u8e2338rixYs15/oSuX/Z87fffmu0nnOjc7n7uVPk/misfv36yezZs+XHH3+UnTt3ys6dO83Wj4iIkBkzZjj0BmtffPGF6gfsnj17qkZhwvXmzJkje/bs0Zd9fHxk9uzZLuzR//H09JRhw4bJa6+9JlFRUTZt26hRIzl+/LgsXrxYli9fLr/99pvMnDlTZs6cabatgQMHyrx58yQ8PNwR3Qc0MRIRcIL09HRV2dYPbIb1Dffnzn0y/IX6QaKncuXKcvjwYfnnP/8pXbp0kcjISGnevLmMHj1ajhw5IiNHjlRtN336dImPj7epjyg6d4xdEfNxFRAQIDt27JAVK1ZIz549pX79+tKkSRN54YUXZN++fTJjxgzVditWrJAtW7aYbMNdjx33ufvzUzhpXa5cOVm0aJFD9w+4SuvWrVUjfW7evGnVF/fZs2ebvPSVJKJzufu584GcnBwpU6aM0Z13DUVGRsrChQsdPg/cg5thPcClzO5l+/btqkvfRe5PH1KnTh0X9UgtPz9f1qxZI4sWLVJd1mzL9iLGc9Aa8vDwkFdeeUVmzpxJAhFOQxIRcIEHl2jYW9/S5Zr2KK4+mboM2cPDQ7799ltp2LChyW28vLzk448/lnbt2qn2M3fuXJv6CMdzl9g1d3n7559/roobQ2+//ba88MILqnWzZs2yqk13OXaY5k7Pz/Xr12Xy5Mn68rRp04zmyARKKi8vL3nzzTdV66ZNmyb//e9/zW6zatUqmT59usnHbH3twrHc6dwpInLv3j2JjY2Vdu3ayddff20xyXz27Fnp37+/1K9fXzUqrSji4uLkzJkz+nKFChUcdrMWFF1CQoIMGDBAn2gTEenVq5fReak4tWvXTi5evKhfzp49KwcOHJB//etf0rlzZxG5/wPJsmXLpHHjxrJ69Wqr971582apU6eOTJkyxeIAioKCAvnwww+ldu3a8uqrr+ovbQaKE5czA07g7++vKtt6gjes74gJo53VJ8N2RO5f1teqVSvN/et0Opk7d6489thj+nXr1q2Tzz77TMqUKWNTXx92ly5dsqpeUFCQBAUFqda5Y+yKmI6rFi1ayIABAyxuO2vWLPnyyy/1N1bZs2ePJCcnG/2C667HXpqUxtgUuX8HxgeX3Ddu3Nhhc3QB7mLcuHGybt062bt3r4jcHzUzZMgQWbt2rbzwwgv6eRMTEhLkP//5j/zwww/6bcPDwyU5OVlfNnxtw7LSeu7MysqS7t27q6Ye8fPzk9GjR0v//v2lYcOG4u/vL7du3ZLDhw/LsmXL9JfInzt3Tjp27CirVq2SQYMGFakfhvPXDR48mM+eVipKbFojOTlZunXrJikpKfp1jz32mHz11VdO/UHC19fX6G7lIvdHao8dO1Z2794tsbGxcu3aNUlPT5chQ4aIn5+f9OnTR3O/69evN0qQtmjRQl599VVp06aNVK5cWXJzc+XixYvy448/yqJFiyQ5OVny8vJkyZIlcujQIdm6dSvzIqJYkUQEnMDwA1tWVpZN2xvWL44kYnH1ydT62NhYq9po0aKF1KlTR39n04yMDDl8+LDFBCTUatSoYVW9d955R959913VOneMXXP7sTauKleuLB06dJBt27bp1+3Zs8foS4e7HntpUhpjc/PmzbJ27VoRuf9jyEcffWTxcjygpPH09JQ1a9ZIt27d5MSJE/r1P/zwgyphaGjs2LFy+/Zt+eqrr/TrSCLarjSeO0VEpk6dqkogVqtWTbZu3Wp0M59KlSpJz549pWfPnrJu3TqJjY2VvLw8yc/Pl2HDhknDhg1tnofugZycHFV8inApsy2KEpuWpKSkSNeuXeXy5cv6dQ0aNJDNmzeb/HHZldq1ayfbtm2TFi1aSGZmphQUFMiIESOkY8eOZhN8V69eleHDh6sSiJMmTZKZM2eKh8f/XUDq7e0tUVFREhUVJS+//LL069dPf4fqX375RUaNGmXVDSwBe3E5M+AEgYGBqvLNmzdt2v7PP//U3J8798nU+sKjCy0xrJuQkGD1tig6d4xdc/txdFy567HjPnd8ftLT02Xs2LH68ksvvSSPP/54kfcLuKPKlSvLvn37ZNiwYaovuKZ4e3vL3LlzZfHixapRiCIiYWFhxdlNGHDHc+eD/S5ZskRf1ul08vXXXxslEA0988wzqkvls7OzVdNJ2Grjxo2quTsbNWokzZo1s3t/cIz09HTp2bOn6vLe6tWry9atWyUkJMSFPTOvYcOGqisRbt68KV988YXZ+gsXLlTN+d2jRw+ZPXu25vk1KChI1q9frzqPrl69WuLi4orYe8A8koiAE9SuXVtVTkpKsml7w/q1atUqcp9CQ0OlfPny+vKNGzckOzvb4X0yNcFxpUqVrG7HsO7t27et3hZFZ/i82hK7WVlZqi8bgYGBDvug54y4ctZrBPZxx9hctWqVfoSEv7+/jB49Wi5duqS5XL9+XbWPtLQ01eOGCRfAnQQEBMjy5cslPj5epk6dKq1bt5ZKlSpJ2bJlJTQ0VGJiYuTdd9+Vs2fPysSJE8XDw0POnTun3z4oKMjqkUtwDHc8d4rcH8VdeJRjx44dpWXLllZt+/rrr6tGom3ZssXkTXysYXgpM6MQXS8nJ0f69esnP//8s35dpUqVZNu2bVKlShUX9swyw2l2Cl8FY+ibb75Rld966y2r2ggKCpJx48ap1q1atcrKHgK24/oawAmCg4MlNDRU/8Hr+vXrkpGRIX5+flZtf/HiRVXZ0q+y1oqMjNT/UqUoily6dEkiIyMd2qf69euryp6enuLp6Wl1Hw3vSmZLEgf3FWXSc8Pn1ZY7zBnOi+OouBUxjisRy3ew06prLq6c8Rp5mJW22Cw8V1h6errExMTYvI9vvvlG9UUiOjpajh075pD+AcWlfv36Mn36dLM3T3kgMTFRlThv3rx5cXetVCpt5060MhFAAAAgAElEQVQRkZMnT6rKHTp0sHpbX19fadmypezYsUNE7v9/Dh8+LH/5y19s6sPNmzdly5Yt+rKnp6cMGTLEpn087Bx9o538/HyJjY1VJd+Cg4Nl69atRoM03JHhj97mXm8PfkB8wNvbW1q3bm11O+3bt1eVGYmI4sRIRMBJCt+JuKCgQA4dOmT1tr/++quq3KBBA4f3yVQ7juhTgwYNVMPw8/PzJT093ep2Htyc4IFHHnnE6m1RdM6IEXtUrFhRKlasqFpX+BIQS6yNK3c9fvDcACXRzp07VeW2bdu6qCcPL3c9dxq+hxu+x1tieFm8rZdpi4h8+eWXkpubqy937drVpqsc4FiKosiIESP0N88RuT/Kf/PmzXbPeelshjfkMfejtWH8h4SE2DTowhHxD1iLJCLgJJ07d1aVH9zR0JIrV66ofpmKjIyURx991KV9ysrKUv3CFRAQYPZmJ+XKlTOaE+z06dNW99GwrrtftlDatGrVSjVp+sGDB60eDWoYT7aOCLDEcH/FEVfOeI3APu4cmwBMK3ypqE6nkxdeeMGFvXk4ueu5s/D0ISJi0w/Opurbc8MXLmV2L2+88YasWLFCX/b29pbvv/++RH2eunr1qqpsLjnuDvEPWIskIuAkTz31lKr83//+16rtDOe0MNxPUfTo0UN119BvvvnGqrv0fffdd6o3q27duknZsmXN1u/Xr5+q/NNPP1nVv7t378rBgwf1ZZ1Ox00KnMzb21v1JSE9PV2+++47i9tlZWWpLsksU6aMdO/e3aF9szeuCgoK9Jc8PfDEE0+YrOus1whs546x+frrr4uiKDYthiOzhg4dqnqcS5lRWhw6dEh/B1ERkU6dOkn16tVd1p+HlTueO0VEwsPDVeXCd/22huG50tYb9sTHx8uRI0f05aCgIOnTp49N+4DjvPvuu/Lhhx/qy15eXrJmzRrp1KmTC3tlu+3bt6vK5ubHDggIUCX+7ty5I4mJiVa3U9T4B2xBEhFwkqioKGnUqJG+fObMGdW8K6ZkZmbKxx9/rFoXGxvrsD4FBwdLt27d9OWUlBRZvny55jaKosiiRYtU65577jnNbQYOHKhKoHz66adWJWL+/e9/S0ZGhr7csmVLLmd2gcGDB6vKixYtsjjnzbJly1SXDPfs2dPhdyfu1q2bVKhQQV9evXq13Lhxw+J269evV30wCw8Pl+joaJN1nfUagX3cNTYBqOXm5srYsWP1r0+dTifvvPOOi3v18HLHc2ebNm1U5fXr11s9TcmOHTtU7+t+fn7SpEkTm9o3HIU4aNAgm+ZahuP885//lGnTpunLOp1OVqxYUeKSujk5OTJv3jzVup49e5qtb/gasPR5U6uuuR/HAYew9RdzFhZ3WEREKbyUFOvWrVP1u2bNmsrt27fN1n/ttddU9fv27au5/+XLl6vqt2vXzmKf4uLiVNsEBQUply5dMlt/4cKFqvpNmzZVCgoKLLYzfvx41XZjx47VrH/ixAnF399ftc0333xjsR13UFLj05yCggKlcePGqmNatGiR2foXL15UAgMD9XV1Op1y9OhRi+1ERESo2ti5c6fFbRYsWKDapnfv3kpeXp7Z+klJSUp4eLhqm/nz52u24azXiDMQm86LTWvt3LlTte+hQ4c6ZL/vvPOOar/Lly93yH6LS2mLTUVxzHNgGB8RERFF6pMj4y03N9eqejk5OUr//v1V7Y4YMcLudl2htMWnO5478/PzjeoPHDhQyc/P12zjzz//VGrXrq3a7umnn7bYt8Ly8vKUypUrq/bx888/27QPVyltsfmf//xH0el0qmNaunSpw9uxJTbj4uKUDRs22LT/rKws5emnn1a1UbVqVSU9Pd3sNp999pmqvq+vr3Lw4EGLbS1atEi1nU6nU06cOGFTf4uLifh0eR6BxQG5GFd3gIXFnqWkvmEWFBQorVu3VvU9KirK6ESfmpqqvPLKK6p6Pj4+Snx8vOb+7UkiKoqiDBo0yOhNbs+ePao6mZmZynvvvad6Y9fpdMq2bdusauPGjRtKxYoVVe08//zzyh9//KGqV1BQoKxZs0YJCQlR1e3YsaPbJGIsKanxqWXLli1Gz/3777+vZGZmqurt3r1bqVq1qur4hwwZYlUb9iRqsrKylHr16qm269atm3LhwgWjutu2bVOqV6+uqtugQQPND3QPOOM14gzEpvNi01pFTepcvHjR5GL4I9TcuXNN1rt27ZrDjqUoSnJsFudzYG8S8dq1aybbWr16tVGyxVz/LWnRooXy5ptvKr/88ovJ9+ecnBxl48aNSv369VVt1q5dW/MHVHdUkuPTHHc8dy5btszof925c2eTCZGCggJlw4YNRu/rHh4eysmTJ63+PyjK/f9F4X1ERkbatL0rlabY3LRpk+Ll5aU6nnHjxpk9R5lbkpKSLLZlS2yuX79eERElJiZG+fDDD5XLly+brZuVlaV89dVXRuc9EVHWrl2r2aecnBylVq1aqm38/f2VJUuWGL0uFeX+eX7s2LFG7QwcONDi8TuLifh0eR6BxQG5GFd3gIXFnqUkv2FevXrVaCSUTqdTYmJilIEDByqdOnVSAgICjE66q1atsrhve5OI9+7dU6KioozabNSokfLMM88o3bp1UypUqGD0+HvvvWfTsf/888+Kj4+Pah9eXl7Kk08+qQwaNEjp3bu30f/mwZcmw2SjOyvJ8anl3XffNTq20NBQpXv37srTTz+tNGzY0OjxJk2aKGlpaVbt395Ezfnz543iU6fTKS1atFCeffZZpW/fvkrNmjWN+hYcHKycOXPGqjac9RopbsSmc2PTGkVNIhoel62Lte8Txa0kx2ZxPgf2JhHbtWtX5H5ZUvjLbmBgoNKmTRtlwIAByrPPPqu0b99eCQoKMvl+fv78eSv/s+6jJMenFnc7dxYUFCiDBw82GY9169ZV+vbtqzz33HNK9+7djX6YfrAsXLjQ5v+D4Q+FH3zwgc37cJXSFJtDhw4t8nnL2vOkPUnEwkvFihWV9u3bK/369VOGDBmi9O3bV4mJiVG8vb1N9mnWrFlW/Q8OHz5sdCWWyP1kYocOHZTY2FjlmWeeUZo3b654enoa1atTp45y48YNK//jxc9EfLo8j8DigFyMqzvAwmLPUtLfME+ePKlERkZa9Ubo4+Nj9TB+e5OIiqIoiYmJSqtWrazqk4eHh/L222/bdezbtm1TKlWqZPUHgRYtWijJycl2teUqJT0+zSkoKFCmTJmieHh4WPXcPf7448qVK1es3n9REjVHjhxR6tata3Vc1apVS0lISLDp+J31GilOxKbzY9MSkoj3leTYLM7noKQkEa1ZunTp4jYjX21VkuNTizueO7Ozs42uxrFm8fX1VZYsWWLz/yA1NVXx9fVVvX8nJibavB9XKU2xWZKSiNYuFStWVL766iub/g8HDhwwGmFrzfLkk09qjpJ0BRPx6fI8AkvRF26sArhAo0aN5MiRI/K3v/1NKlasaLJOmTJlpHfv3nLw4EEZM2ZMsfepWrVqsnfvXpk1a5ZERESYrKPT6aRjx46yc+dOmTFjhl3tdO7cWeLj42XcuHESEhJitl7t2rXlk08+kQMHDkjlypXtaguOpdPp5P3335cdO3ZIhw4dRKfTmaxXvXp1mTVrluzZs0eqVKnilL41bdpUjh49KlOmTDG6w2Nh4eHhMnv2bDl58qRERkba1IazXiOwnTvHJlBajRkzRpo2bWr29SZy/7X5xBNPyLfffitbt26VSpUqObGHsMQdz51ly5aVxYsXy759++SZZ55R3ZjPlMDAQBk3bpycOHFCxo0bZ3N7a9eulczMTH25Y8eOUq1aNZv3g9KrQ4cO8vnnn8vTTz9t9ntbYTqdTqKjo2X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      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 198,
       "width": 648
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 198,
       "width": 648
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 198,
       "width": 648
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_tile(a[:, 8:], b_grad[:,8:], tile_name='c')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "----"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.9"
  },
  "toc": {
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": true
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}