From a04ae10a1ca2fbbdd30270e3f166767a9e9c982f Mon Sep 17 00:00:00 2001
From: Tarun Chadha <tarunchadha23@gmail.com>
Date: Fri, 3 May 2019 00:38:29 +0200
Subject: [PATCH] Added maxpooling function and examples

---
 neural_nets_intro.ipynb | 188 ++++++++++++++++++++++++----------------
 1 file changed, 115 insertions(+), 73 deletions(-)

diff --git a/neural_nets_intro.ipynb b/neural_nets_intro.ipynb
index 601d64f..7aa0405 100644
--- a/neural_nets_intro.ipynb
+++ b/neural_nets_intro.ipynb
@@ -1300,13 +1300,7 @@
       "350/350 [==============================] - 0s 86us/step - loss: 0.4165 - acc: 0.7371 - val_loss: 0.4231 - val_acc: 0.6800\n",
       "Epoch 120/300\n",
       "350/350 [==============================] - 0s 96us/step - loss: 0.4158 - acc: 0.7343 - val_loss: 0.4222 - val_acc: 0.6800\n",
-      "Epoch 121/300\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
+      "Epoch 121/300\n",
       "350/350 [==============================] - 0s 96us/step - loss: 0.4148 - acc: 0.7343 - val_loss: 0.4213 - val_acc: 0.6800\n",
       "Epoch 122/300\n",
       "350/350 [==============================] - 0s 52us/step - loss: 0.4140 - acc: 0.7371 - val_loss: 0.4204 - val_acc: 0.6800\n",
@@ -1552,13 +1546,7 @@
       "350/350 [==============================] - 0s 76us/step - loss: 0.3772 - acc: 0.7457 - val_loss: 0.3838 - val_acc: 0.6867\n",
       "Epoch 240/300\n",
       "350/350 [==============================] - 0s 91us/step - loss: 0.3770 - acc: 0.7457 - val_loss: 0.3837 - val_acc: 0.6867\n",
-      "Epoch 241/300\n"
-     ]
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
+      "Epoch 241/300\n",
       "350/350 [==============================] - 0s 88us/step - loss: 0.3769 - acc: 0.7457 - val_loss: 0.3837 - val_acc: 0.6867\n",
       "Epoch 242/300\n",
       "350/350 [==============================] - 0s 67us/step - loss: 0.3768 - acc: 0.7457 - val_loss: 0.3838 - val_acc: 0.6867\n",
@@ -2781,38 +2769,48 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 122,
+   "execution_count": 7,
    "metadata": {},
    "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/Users/tarunchadha/anaconda3/envs/mlw-2/lib/python3.6/importlib/_bootstrap.py:205: RuntimeWarning: numpy.ufunc size changed, may indicate binary incompatibility. Expected 192 from C header, got 216 from PyObject\n",
+      "  return f(*args, **kwds)\n",
+      "/Users/tarunchadha/anaconda3/envs/mlw-2/lib/python3.6/importlib/_bootstrap.py:205: RuntimeWarning: numpy.ufunc size changed, may indicate binary incompatibility. Expected 192 from C header, got 216 from PyObject\n",
+      "  return f(*args, **kwds)\n",
+      "/Users/tarunchadha/anaconda3/envs/mlw-2/lib/python3.6/importlib/_bootstrap.py:205: RuntimeWarning: numpy.ufunc size changed, may indicate binary incompatibility. Expected 216, got 192\n",
+      "  return f(*args, **kwds)\n",
+      "/Users/tarunchadha/anaconda3/envs/mlw-2/lib/python3.6/importlib/_bootstrap.py:205: RuntimeWarning: numpy.ufunc size changed, may indicate binary incompatibility. Expected 192 from C header, got 216 from PyObject\n",
+      "  return f(*args, **kwds)\n"
+     ]
+    },
     {
      "data": {
       "text/plain": [
-       "<matplotlib.image.AxesImage at 0x7fb4ebbdfbe0>"
+       "<matplotlib.image.AxesImage at 0x1a1eec9e10>"
       ]
      },
-     "execution_count": 122,
+     "execution_count": 7,
      "metadata": {},
      "output_type": "execute_result"
     },
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": "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\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fb4ebc0be10>"
+       "<Figure size 432x288 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "image/png": {
-       "height": 254,
-       "width": 258
-      }
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
    "source": [
     "import numpy as np\n",
     "import matplotlib.pyplot as plt\n",
+    "import seaborn as sns\n",
     "sns.set_style(\"white\")\n",
     "# Loading the train and test data\n",
     "digit = np.genfromtxt(\"digit_4_14x14.csv\", delimiter=\",\").astype(np.int16) ;\n",
@@ -2828,7 +2826,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 193,
+   "execution_count": 8,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -2844,22 +2842,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 194,
+   "execution_count": 9,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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q7969kqTp06frsssuq7bmrrvu0qWXXipJysrK0tmzZ/3dLsT3EItoYgs97KGJLfSwhyaB4fbnWsdx9Nhjj8lxHCUlJemZZ56p87cra7uvpKREzzzzjCRpxIgRevDBB+t813Jdf0dLV9t1eSrr16+fhg0bJknavn17tdOZfPLJJ77bP/nJT2p9Du87oU+ePKndu3f7u2WIY5ZFbo9/LVFIDZpXrFjhu13X+YhuuukmSecHdMF2bmDg6/bu3es7d9O1115b5w8V3h8CvvzyS23cuLFJ9gf/LF++3Hfbe8z6ulatWunGG2+UdP4Huw0bNjTJ3loqvofYQxNb6GEPTWyhhz00sWHt2rXas2ePJGnGjBl+nzrxrbfe0okTJyRJd999d8D2F8oqn3qvvLy8yn2Vz39d1/VgLrnkkhofg4bjmIVgEFKD5k2bNkk6f/5Y7zs3a+L9V7vKjwGClfeHLUnq0qVLnWsr3//xxx832p7g3ubNmyVJl156aZ3n3eJ4Fjh8D7GHJrbQwx6a2EIPe2hiwzvvvCPp/EXjbrjhBt/Hi4uLtXfvXhUVFTXoeTp16qSBAwf6Pn78+HHt27ev1gunoWbHjx/XP/7xD0lSTEyMYmJiqtzfq1cv3+0DBw7U+jze+8LCwny/bQn/cMxCMAipiwHu2rVLktSzZ886LyAQFxenDh06qKSkxPcYNJ5ly5Zp2bJlKigoUFhYmLp06aL+/ftrwoQJuv7665t7e0Gv8r9Cnz59us61p06d8t2u67/9v/71r5o/f74OHz6siIgIdevWTQMHDtTEiRM1ePBg95tGnUpKSnT48GFJUu/evetcW/mUGhzP3OF7iD00sYUe9tDEFnrYQxMbtmzZIklKSEhQVFSU3n77bb3wwgvKz8/3rUlISFB6erruvPPOGi9wfe7cOeXl5UmS+vTpI8dx9PLLL+ull17Svn37fOt69+6tyZMn64c//GFInzqjNmVlZfriiy/00UcfacGCBTp58qQk6bbbbqu29gc/+IGysrLk8Xg0b948zZ49u9qabdu2ac2aNZLOn9IhKiqqUfff0nHMQjAImUFzeXm5719Cu3fvfsH1PXr00K5du3TkyJHG3lrI+/qBr7S0VAcOHNBbb72lYcOG6X/+53/UtWvXZtpd8LvkkksUERGhioqKC546ofK7mL2DzJr885//9N0uLy/Xnj17tGfPHuXk5Gj8+PH65S9/yQ8RjaiwsFCO40i68PGsU6dOioyM1JkzZzieucD3EHtoYgs97KGJLfSwhyY2nDt3Tp9//rmk8++afeqpp5SVlVVtXUFBgebOnatly5bpj3/8Y7Vmhw8f9p1DuFOnTrrvvvuqnGrOa/fu3Xr66ae1YsUKzZ8/Xx07dmyEzyq4rF69WnfddVet90+cOFFTp06t9vHevXvr0Ucf1ZNPPqlly5ZpypQpuuWWW3TJJZeouLhYGzdu1EsvvaSKigr17dtXDz30UGN+Gi0exywEi5AZNFd+J2f79u0vuN675usnvEfgREZG6oYbblBKSoouu+wydejQQSdOnNAnn3yihQsXqrCwUOvXr9cdd9yhV155hcGln9q3b6+UlBTl5uZq586dWrJkidLS0qqtW7dunT788EPfn2v6b/+iiy7SmDFjNHToUPXs2VORkZH68ssvtWHDBv3tb3/TiRMn9O677+rkyZN68cUX6/xXVvivcpv6Hs/OnDmj0tLSxtxWi8b3EHtoYgs97KGJLfSwhyY2nDp1yncR8p07dyovL0+dO3fWz372M40aNUrt27fXZ599ptmzZ+vDDz/Url27dP/99+vll1+ucu0Z7ztvJWnNmjUqKytTYmKiHnzwQd91aj799FP99re/VV5enjZu3Kif//zn+v3vf9/kn3Ow6Nmzp5544gmlpKTUuuaWW25RcnKyFixYoHfffbfa6RdjY2P1wAMPaPLkyWrXrl1jb7lF45iFYBEyU6CysjLf7fpcXMD7azSVH4fAys3N1UUXXVTt4ykpKbr11lt1zz33aN26ddq5c6eee+45/gXUhXvvvVcfffSRzp49q//6r//S/v37lZ6eru7du+vYsWN69913NXv2bLVu3dp3gYavvvqqynN069ZNubm5ioyMrPb8I0aMUGZmpqZNm6bPPvtMH330kV599VX96Ec/apLPL9T4ezz7elPUH99D7KGJLfSwhya20MMemthw5swZ3+2ysjK1bdtWL730kpKSknwf79evn1544QXNmDFDH374oT799FMtX75c48eP962p/IaKsrIyde7cWa+88oq6devm+3hKSoqys7M1efJk7dy5U++99562bt2qfv36NfJnaduQIUP05ptvSjr/rtlDhw5p1apVWrp0qR588EE98MADmjhxYo2PPX36tHJycqq8Yamyo0ePaunSpUpMTNSoUaMa7XMIBRyzECxC5mKAbdu29d2uz5VOvVdUrfw4BFZNQ2avqKgozZ49W506dZIkLVy4sNpVblF//fr101NPPaWIiAidPXtWc+fO1ejRo3XVVVdp5MiRevrpp1VWVqbHHnvM95ivn/usTZs2NQ6Zvbp166Y5c+b4vunV9CtvCAx/j2e8i8B/fA+xhya20MMemthCD3toYsPXz5M8adKkKkNmr/DwcD344IO+P3sv/Of19S7Tpk2rMmT2ioyM1AMPPFDr84SiqKgoJSUlKSkpScnJyRo7dqyeeeYZ/fGPf9SJEyc0a9YszZ07t9rjjh49qoyMDL388suqqKjQ/fffr+XLl2vbtm3auHGjXnzxRQ0YMEB5eXm6++679Ze//KXpP7kWhGMWgkXIDJorn3ahPr8+7l1T04UG0DSio6N9/0pdWlpa5bzAaLgbb7xRr7/+ur797W9X+e+6VatWuuaaa/TKK69UucpzXf8QUJuePXv6frVq7969+uKLL9xvHNVU7teQ41l9fsUKNeN7iD00sYUe9tDEFnrYQxMbvn56xJEjR9a6tk+fPr7hsffCf15f71LX81xzzTW+U/x9/Xnwb97fNJak5557Trt3765y/y9+8Qvt3LlTYWFhmj9/vu6++2717NlTERER6tixo0aOHKns7GwNGTJEjuPoV7/6VZULPKJhOGYhWITMoLlNmzaKiYmRpHqdDN27pj4nWUfj+cY3vuG7zUns3bviiis0e/Zsffzxx/rggw+0fPlybd68WX/+85/Vv39/7d2717e28te+IS6//HLfbZo1jri4OIWFhUm68Nf4xIkTvl9J5HjmP76H2EMTW+hhD01soYc9NLGhTZs26tKli+/PF/r6xsfHS5KOHz9e5ePdu3f3/Xwsnb8QWm3atWvna//150FVo0ePlnT+oo0rVqzwffzkyZO+P6ekpNR6HueIiAj99Kc/9T3HG2+80cg7brk4ZiFYhMygWfr3AGzfvn06e/ZsresKCwt9J1qvPDQDWorw8HB1797dd0E/r23btvlu+3uusso/4KFxdOjQwffD89ffWfB13qt4SxzP3OJ7iD00sYUe9tDEFnrYQxMbKn9NvRcGrI3H45GkKhcClM7/5l5CQkK1dQ19HlTVuXNn3+1Dhw75bu/Zs8fX6qqrrqrzOZKTk323K/+/CRqOYxaCQUgNmgcNGiTp/AUH6voVmQ0bNlR7DJrHrl27fLdrOscWAmvZsmWSzp+7zN+LNVRuFhcXF5B9obqBAwdKOn+KksLCwlrXcTwLHL6H2EMTW+hhD01soYc9NLFhyJAhvtv79++vc+2BAwck1fz/hvV9nlOnTqmoqEgS/79yIZX/P6PyafgqD+gvNNSvPBD1nrIE/uGYhWAQUoPm1NRU3+3XX3+91nU5OTmSzh88uTJq8ykuLvZdnCEyMlJ9+/Zt5h21bB988IE++eQTSdL3v/99dezYscHPsX//fn300UeSpEsuuYQf3BrR2LFjfbe9x6yvO3funBYtWiTp/DnPhw4d2iR7a6n4HmIPTWyhhz00sYUe9tDEhnHjxvluL1++vNZ169ev14kTJyRVHSp7ffvb367X86xYsUKO40iSBg8e3OD9hhLvG5EkVblIY0JCgu83WTdu3Fjnc1QeeiYmJgZ4h6GFYxaCQUgNmpOTk32DlkWLFtV4QFy6dKnWrVsnSUpLS6tyvigEzqpVq+r8VY/Tp0/r/vvv9/0gMWnSpGpXJEbD1PWu1+3bt/uu4ty5c+cqV2L2qvwDWU2++OIL3Xvvvb4r4P7oRz9yuWPUZfTo0br00kslSS+++GKNv4b2/PPP+867feutt/IOApf4HmIPTWyhhz00sYUe9tDEhqSkJN9Fyd955x198MEH1dacPn1aTz31lO/Pt9xyS7U1I0eO1BVXXCFJysrK0vbt26utKSws1O9+9ztJ5895O3HixIB8DsFm8eLFKikpqXPNO++8o1dffVWS1LFjxyoDy86dO+vqq6+WJG3dulWvvfZajc9RVFSk3/zmN74/M/R0h2MWgkGYU9fkqBbecx8VFBQEfEONLT8/XxkZGSotLVVkZKSmT5+ulJQUeTwerVy5UllZWfJ4PIqNjVVOTk7QvCMz2JqMGjVK5eXlGjt2rK6++molJiYqMjJSJ0+e1KZNm/Tqq6/6BqOXXXaZFi5cqOjo6Gbedf1Z7DFkyBANGjRI119/vb7xjW+oXbt2Kiws1Jo1a/TGG2+ooqJCkZGRmj9/voYPH17t8X369NHFF1+s1NRU9evXTz169FDbtm117NgxrV+/Xn/729+qvMPgT3/6k6l/HLDWZMeOHdqxY0eVj82aNUuS1KtXL82YMaPKfSNGjFBsbGyVj3344YeaMWOGPB6PYmJidNddd2nAgAEqLS3V0qVLfRfb6N27t1577TVTVxy21qO+Wur3EIkm1tDDlmDtIdHEGnrYQxP3AvFz7b59+zR58mSdOHFCERERyszM1A033KD27dsrPz9fL774ou8NFFOmTNH/+3//r8a9fPLJJ7r11ltVXl6uDh066M4779Q111yj1q1ba8uWLXrhhRf0xRd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IJ6IBAFtbW0gkkhqtozbhPYSIaqOUlBRhWKvly5czqaJBvI/UHPlQYvr6+mjXrh0uX76MyZMn47333oOTkxP69++PgQMHYv369UhJSVG6j0aNGgnLmZmZpb6f4nrGrOImTJgAPT09AFA5oWJkZKTwncTFxUVpj+VJkyYBAGQyGXbt2qV0P0FBQYiKigJQNLY0qcZrlvgwJuLCeCinNYnmN2/eCI/+v/POO2WWl48v9fz582qtF1XcyZMnhUecXFxcNFybuq+8xzsxMRHZ2dkAinoH/OMf/8C6devw6NGjYuViYmLwzTffYNq0aWU22rWdiYkJNm/eDAMDA9y6dQuurq7w8/PDrVu3cOXKFezbtw9ubm7IyMjAu+++i/Xr12u6ynUW7yFEVFtt2LABqampsLOzg6urq6aro7V4H6lZ8i/yTZo0wS+//ILp06fjr7/+KlYmOTkZ3t7eGDduHO7fv19iH+3btxeWr127Vur7Xb9+XVhOTExUp+paqX379vjyyy+hp6eHwMBATJkyBQEBAQgPD8elS5ewdetWuLu7Iy8vD927d8fy5cuV7mfAgAGYO3cuAOCnn37CvHnzcObMGYSHhyMkJARff/01PDw8ABQNhzJz5swa+4y1Da9Z4sOYiAvjoZrWzAKi+OiM4q/TqsjLyBNnJB7yYRx0dHQ4bEYNKO/xTk9PF5ZDQkKQm5sLKysrLFu2DAMGDICenh5u376N7777DhEREbhx4wZWrlxZYlZpKm748OHw8/PDgQMH8Ntvv2HFihXF1hsaGmLRokX46KOP0KxZMw3Vsu7jPYSIaqOLFy/ixIkT0NfXx9q1azVdHa3G+0jNkrdLMzMzsXHjRhgYGMDDwwOjR4+GkZER4uLisG/fPpw4cQJJSUmYP38+/P39i/WSbdu2Ldq3b4+YmBhcuHAB169fVzrRk5+fH2JjY4W/GbPKmTRpErp164Yff/wRp0+fLpa8BwAzMzMsXrwYEydOLHV+nkWLFqFv377Yt28fgoKCEBQUVGx9mzZtMHv2bLi4uAi9qKkkXrPEhzERF8ZDNa3p0Zybmyss6+vrl1lePvOw4nakeTExMcLwDLa2trCystJwjeq2ihxvqVQqLOfm5sLExASHDh2Ck5MTDA0NYWBgAHt7e/j4+AjDO8h7GJBqeXl5+OOPPxAUFCRMSKMoKysLJ06cwLlz5zRQO+3BewgR1TZSqRSrV68GAMyaNQvt2rXTcI20G+8jNSsnJwfA/yZ627lzJ6ZOnYoWLVqgfv36sLa2xrfffitM3pSQkIDDhw+X2M/ixYsBFA0RN2vWLHh5eSEpKQn5+flISEjAtm3b8O9//7tYTF+/fl3dH69OysrKgq+vLy5duqR0fXJyMo4fP47//ve/pe4nOTkZfn5+KsdBffToEfz9/YXhVUg5XrPEhzERF8ZDNa1JNDdo0EBYLs/MsvLxYxW3I807duyYsMzHP6tfRY732+fKjBkz0KJFixLlDAwMhEY78L8JBKkkqVSKadOmYc+ePUhNTcW0adMQEBCAiIgI/PXXX/jll18wdOhQxMTE4F//+heHzqhGvIcQUW2zfft2PH36FG3atMGcOXM0XR2tx/tIzVI8bkOGDMGAAQOUllu6dKmQIFDWJh0xYgSWLFkCHR0dSKVSbNiwAYMHD0bXrl3h6OgIT09P1KtXr9gTZ/JxOKn8kpOTMXnyZBw8eBB5eXnw8PDAn3/+icjISNy4cQP79u1D7969ERERgXnz5uHAgQNK9xMTE4Px48fj+PHjaNCgAf79738jODgYkZGRuHLlCrZv34527drh6tWr+OSTT/g9pBS8ZokPYyIujIdqWpNoVnwMSrHnpSryMmwoiEdhYSGOHz8OoOixAycnJw3XqG6r6PF++1wZPHiwyrL9+/cXBsuX95imknbs2CE8Nrhu3Tp88cUX6NixI+rXr4/GjRvD1tYWP/zwA95//30AgLe3N86fP6/JKtdZvIcQUW0SEREBb29vAMDq1auFXjSkObyP1CzF41Zam9TExATdunUDAERHRytNFsyePRs+Pj4YPHhwsQSBvr4+RowYgWPHjgn7AICmTZtWxUfQKl999RUePHgAHR0d7NmzB/PmzUPr1q2hr6+PJk2aYPDgwfDx8YGtrS1kMhk2bdqE6OjoEvtZtmwZnj9/joYNG+LXX3/FlClTYGFhAX19fZiYmMDJyQm//fYb2rVrh7y8PPzrX//Cy5cvNfCJxY/XLPFhTMSF8VBNaxLN9evXF2bZLs/g2/Iy5RnUm2rGlStXkJSUBAAYOXKkVpygmlTR4/3OO+9AR0dH+Fs+2L0yDRs2FM5HVTN9azuZTAY/Pz8ARbPYyh/tVObzzz8Xln19fau9btqI9xAiqk3279+PgoICtG/fHqmpqTh58mSJf3///bdQPiwsTHg9IyNDgzWvu3gfqVmK7dCyjqGFhQUAoKCgoNicI4psbW2xb98+3LhxA+fPn8e5c+fw119/YefOnWjXrh3i4+OFsh07dlT/A2iR9PR0nD17FgBgb28Pe3t7peX09fWxaNEiAEUdYuTtZLno6GhERkYCAMaOHasyDoaGhsJTHjk5OTh58mSVfI66htcs8WFMxIXxUE1rJgMEgA4dOuD69et49OgR8vPzhR6Vb0tKShIG9u7QoUNNVpFKoTiMAycBrH4VPd6NGjWCpaUlnjx5AqCosV4a+XpOwqHcy5cvkZaWBgDo2rVrqWVbtmwJU1NTvHr1qthkNFS1eA8hotpC/nhmTEwMlixZUmZ5T09PYdnf3589MqsJ7yM1p0OHDsI8IIWFhaWWVWyz6uqW3g+rfv36sLS0LPG6PMEJAD169KhIVbVeXFycEKOy2ryKPcffbvPGxMQIy+rsh/6H1yzxYUzEhfFQTmt6NAPAe++9B6Dol8vSHte/du1aiW1Is7KysoTJziwsLNCvXz8N16huq+zxVpyJ+/HjxyrLZWZmIjU1FQBgbm6uRk3rLsUEfFlJewDIz88HAJU3N1If7yFERKQO3kdqTnnbpEDRRIBA0RN3RkZGFX6vgoICoUeuhYUF+vTpU+F9aLOKtHnl7V2gZJu3IvtRHCKFbWfVeM0SH8ZEXBgP5bQq0TxixAhh+ffff1dZTv7ouZ6eHoYNG1bt9aKyBQYGCrNH/9///V+xIRqo6lX2eI8aNUpY/vPPP1WWO3v2LGQyGQDAxsZGjZrWXcbGxmjSpAkA4NatW8Ua1m+7f/++8KinlZVVjdRPG/EeQkS1haenJ+7fv1/qvwULFgjlvb29hdc7d+6swZrXbbyP1Jzhw4cLk/yV1iZNSEjAvXv3AAB9+vQps0ezMkeOHEFiYiIAYNKkSZXahzaztLQUvmvcuHGj1LKKyZq327ytWrUSluVznKiiuF5xOyqO1yzxYUzEhfFQTqvugt26dYOdnR2AomEBlN3Ijh8/jitXrgAAXFxcYGpqWqN1JOX++OMPYdnV1VWDNdEOlT3egwcPRqdOnQAUfWmNiooqUSYpKQnff/89gKLHD93c3NSsbd2ko6ODIUOGAABevHiBnTt3Ki33+vVrfP3118Lf2nDj0hTeQ4iISB28j9ScZs2aYdKkSQCA27dv49ChQyXK5OXlYfXq1cKwDfLyb5cpbT6RS5cuYePGjQCA9u3bY9q0aVVRfa1iYmKCXr16AQDCw8Nx9OhRpeVSU1OxZcsW4e+327ydO3cWxj49e/YsLl26pHQ/CQkJ2LNnD4CioVLk7W0qidcs8WFMxIXxUE7rnhNZuXIlJk+eDKlUihkzZmDmzJmwt7dHQUEBgoKChBm6zczMhMkGqOLu3bsn9A54W3JyconJGwYNGgQzMzOl5Z88eSL86ty7d2+0adOmSutaF4jleOvq6mLNmjX45JNP8Pr1a0yZMgWfffYZ+vfvj3r16uHOnTvYu3cvXrx4AQBYvHgxh84oxYIFC3D+/HlIpVLs3r0bd+/ehaurK1q3bo38/HzcvXsX3t7eiIuLA1A0+QzHL69evIeIS1Ve+0h9jAdR2XgfqTnz589HcHAwnjx5grVr1yIyMhJjxoxBs2bNEB8fj59//ll41NnBwQEjR44ssY/MzEwMHToUjo6OGDhwINq1awc9PT08e/YMZ86cwalTpyCTyWBiYoKtW7eifv36Nf0xRUHd6//SpUvx6aefoqCgAKtWrUJYWBicnZ1hYWGB169f49atW/Dy8hImKh8wYAD69+9fbJ+6urpYunQp/vnPf6KgoACzZ8/GhAkT4ODggBYtWiAzMxPXrl2Dt7e38CTg+PHj0bZt26o8FHUOr1niw5iIC+NRko5M/vx6BcgnQHj69GmVV6gmhIaGYunSpSpn1TY3N4enp2exSQLETmwx2bFjh8oemMp4e3ujb9++Stft3LkTO3bsAACsW7cOH374YZXUsTrVdDzEdryDgoKwfPlyZGZmKl2vo6ODBQsWFHtst7qJ7Rwpr7CwMCxZsgSvXr0qtVzXrl2xa9euYrOsi1ltjQdQN+8hQO2MSVVe+8SG8RCX2hiPsijGqzbFQq42x6Qu3kfEGo+4uDjMnTtX+FFemWHDhuHbb79F48aNS6xLSUmBvb19qe/RuXNnbNmyBR07dlS7vlWpJmNSFdf/kydPYtWqVZBKpaVuO2DAAGzbtk0YYu5tBw4cwLfffltsHGZlxo4diw0bNtTYjwNiPUfKoy5eswDGRGwYD/GpbEy0rkczUPR4/4kTJ+Dt7Y2QkBAkJiZCV1cXVlZWGDFiBNzd3dGsWTNNV5P+P/kwDg0aNICzs7OGa1P3VcXxHj58OE6ePAkfHx+EhITg2bNnKCgoQIsWLdC3b19MmTJFGGKDStevXz+cPn0avr6+uHDhAv7++29kZGRAV1cXpqam6NKlC0aNGgVnZ2dOZlJDeA8hIiJ18D5Sc9q2bQt/f38cPnwYgYGBiIuLQ3Z2NoyNjdGzZ0+4ubmVOuxY06ZN8fXXXyMsLAxRUVF4+fIlXr9+DVNTU3Tq1AnOzs54//33i01ER5UzZswY2NjY4OjRo7h8+TJiY2ORlZUFfX19mJmZoXv37hg7diyGDh1a6vwxU6dOhYODA44cOYKrV68iISEBWVlZaNCgAVq2bCnEXXHCSCodr1niw5iIC+NRnFb2aK6LGBNxYTzEhzERF8ZDfBgTcWE8xIXxEB/GRFwYD/FhTMSF8RAfxkRcGA/xqWxMtGoyQCIiIiIiIiIiIiKqekw0ExEREREREREREZFamGgmIiIiIiIiIiIiIrUw0UxEREREREREREREamGimYiIiIiIiIiIiIjUwkQzEREREREREREREamFiWYiIiIiIiIiIiIiUgsTzURERERERERERESkFiaaiYiIiIiIiIiIiEgtTDQTERERERERERERkVqYaCYiIiIiIiIiIiIitTDRTERERERERERERERqYaKZiIiIiIiIiIiIiNTCRDMRERERERERERERqYWJZiIiIiIiIiIiIiJSCxPNRERERERERERERKQWJpqJiIiIiIiIiIiISC1MNBMRERERERERERGRWphoJiIiIiIiIiIiIiK1MNFMRERERERERERERGphopmIiIiIiIiIiIiI1MJEMxERERERERERERGphYlmIiIiIiIiIiIiIlKLjkwmk1V0I0tLy+qoCxERERERERERERGJwNOnTytUnj2aiYiIiIiIiIiIiEgt9dTZuKJZbao+8l7mjIk4MB7iw5iIC+MhPoyJuDAe4sJ4iA9jIi6Mh/gwJuLCeIgPYyIujIf4VHY0C/ZoJiIiIiIiIiIiIiK1MNFMRERERERERERERGphopmIiIiIiIiIiIiI1MJEMxERERERERERERGphYlmIiIiIiIiIiIiIlILE81EREREREREREREpBYmmomIiIiIiIiIiIhILUw0ExEREREREREREZFamGgmIiIiIiIiIiIiIrUw0UxEREREREREREREamGimYiIiIiIiIiIiIjUwkQzEREREREREREREamFiWYiIiIiIiIiIiIiUgsTzURERERERERERESkFiaaiYiIiIiIiIiIiEgtTDQTERERERERERERkVqYaCYiIiIiIiIiIiIitdTTdAU05fnz5/Dx8UFwcDASExOhp6cHKysrODo6wt3dHc2aNdN0FWs1a2vrcpWztLTE+fPnVa7Pzs6Gr68vgoKC8ODBA2RkZKB+/fp455130KdPH0ycOBE9e/asqmrXWhkZGYiIiEB4eDjCw8MRERGB5ORkAICdnR18fHzKtZ+srCwcOXIEQUFBiImJQXZ2NkxMTNClSxe4urrCycmpQvWKj4+Hr68vQkND8fz5c0ilUpiamsLS0hJ2dnZwdnaGRCKp8OfVBu7u7rh27VqFtvnmm2/g5uZWTTWiyMhIhIaG4ubNm3j48CFevXqFevXqoXnz5ujZsydcXFwwePBgTVdTqzAm4sV2lvgwJuLCeKhH3bZvWloaQkNDERERgbt37+LFixdITU1Fbm4umjZtivbt22PIkCEYP348jIyMyqxPSkoKfv31V1y4cAGPHj3C69ev0bx5c/Tq1QsTJkxA//79q+Rzi1VVfReRS0pKgq+vL4KDg/HkyRNkZmbC2NgYLVu2hI2NDUaOHIlevXqV2K6830EVBQUFwcrKqsLbaRtes8Rt8+bN2L9/v/C3t7c3+vbtq8EaaR+eI/+jlYnm0NBQLF26FBkZGcVev3fvHu7du4fffvsNnp6e6Natm4ZqSAAQHR2NefPm4enTp8Vez8/PR2xsLGJjY+Hr64tPPvkEK1asgI6OjoZqqnnjxo0rcZwq6s6dO1i4cCGSkpKKvZ6UlISkpCQEBwfDwcEBW7duRcOGDUvdl0wmw65du7Bnzx7k5eUVW5eYmIjExETcuHEDWVlZWLlypVr1pv9p166dpqtQZ02ZMgXXr18v8XpeXh4SEhKQkJCAgIAADB06FN9++y2aNGmigVpqF8ZEvNjOEh/GRFwYD/Wp2/YNCwvDP//5T6XrXr16hVevXuHatWv48ccfsWXLFgwaNEjlvkJCQvD5558jMzOz2OvPnj3Ds2fPcOrUKUyYMAHr1q2Drm7dfKC4Kr6LyB0+fBibN29GdnZ2sddfvHiBFy9e4M6dO4iPj4enp6fa79WkSROYmZmpvZ+6jtcscYuKioKXl5emq6HVeI4Up3WJ5ujoaHh4eEAqlcLAwAAzZsyAvb09CgoKEBQUBB8fHyQlJWHOnDnw9fWFubm5pqtcq02ePBkfffSRyvX6+vpKX8/IyMCMGTOEX8J79+6Njz76CK1bt0Z6ejpu3rwJLy8v5OTkwMvLC2ZmZpg5c2a1fIbapnnz5ujevTuCg4PLvU1cXBxmzJiBjIwM6OjowM3NDc7OzjA1NcWzZ8/g5+eHoKAgBAcHY8mSJWU27NauXYtDhw4BADp16gQ3Nzd06dIFhoaGSE1NRVRUFM6dO1dnG9tVYcOGDcjJySm1zKtXrzB16lQAQJs2bZT27KCqIf8Bpnnz5nBycoKNjQ0sLS2ho6ODiIgIeHt7Iz4+HiEhIZg7dy68vb35/7uaMSbixHaW+DAm4sJ4VL3KtH0BwMrKCnZ2dujSpQtatmwJMzMz5OfnIykpCWfOnMHZs2eRmpqKuXPn4vfff0enTp1K7OPGjRtYsGAB8vLyoK+vj48//hhDhw5F06ZN8ejRI/z666+4ceMGjh49CgMDA63oYFHZeADA3r178d133wEAWrVqhYkTJ6JHjx5o1qwZMjIy8ODBAwQFBaFePeVpjBMnTpT5HiEhIcJ7jB49Gg0aNKhwPbUJr1niVlBQgFWrViE/Px+mpqZ49eqVpqukdXiOKCGrBAsLC5mFhUVlNtU4d3d3mUQikXXu3Fl27dq1Euv9/f1lEolEJpFIZF988YUGalg5YouJ/Bhu3769Dl4u4wAAIABJREFUUtv/+OOPwj4WLlyotMydO3dkXbt2lUkkEpmtra0sLy9PnSpXqZqOx48//igLDAyUPXv2THhNfvymTJlS5vazZ88Wyv/2229Ky2zZskUo8+eff6rcl5+fn1Bu06ZNsoKCApVlc3Nzy6xbVRHbOVIVfvrpJ+FY7969W9PVqZDaFo9Zs2bJAgICVF5nsrOzZR9++KEQD39//xquofoYE3GpbfGQYztLfBgTcWE8qoa6bd/yfG84e/assM/58+eXWF9YWCgbO3asTCKRyDp16iS7ePFiiTIFBQWyJUuWyCQSicza2loWGRlZ5vtWlZqMibrxkMlksrCwMJm1tbVMIpHIlixZUur3BHW+Qyh+77l582al91NRvGaJT22NiaL9+/fLJBKJbPTo0bL//Oc/QizCwsI0XbUKq63x4DlSklZ17YmMjMTVq1cBAK6urrC1tS1RxsXFBf369QMA/PHHH/xFSENu3bolLM+fP19pmR49emDIkCEAgPT0dMTExNRI3cRo+vTpcHJyQsuWLSu8bUpKCkJCQgAU9RyfMGGC0nIeHh5o0aIFAGDPnj1Ky2RnZ2Pjxo0AgEGDBmHZsmWl9iCsX79+hetL/3Ps2DEAgK6uLlxcXDRcm7rthx9+wJgxY1T2oGnUqBHWrl0r/B0YGFhTVdNajIn4sJ0lPoyJuDAeVUedti8AlfcORY6Ojmjbti2Aop7Lb7t79y7u378PoKhn7MCBA0uU0dXVxapVq9CgQQPIZDL88MMPlaqv2KkbD5lMhtWrV0Mmk0EikWDjxo2lfk+o7HeIlJQUXLx4EUDR04B9+vSp1H60Ba9Z4paQkIDt27dDR0cHa9euLdd1jaoWzxHltCrRfPbsWWF5/PjxKst98MEHAIoeQyhtojqqPorj+rZq1UpluXfffVfpNlR+kZGRkMlkACAk7pXR19fHgAEDhG2ePHlSokxAQADS0tIAAPPmzauG2pJcdHS08OWmX79+lW7YU9WxtrYWJgx6/PixhmtDAGNS09jOEh/GRFwYj9qncePGAIDc3NwS6yIiIoTl0trQxsbGwuTloaGhZQ6Npo0uX76MuLg4AMCsWbNUDq+orhMnTiA/Px9A0bjSVDpes8RtzZo1yMnJgZubG2xsbDRdHa3Ec0Q5rUo037x5EwBgYGCA7t27qyynODunfBuqWfLeA0DRL3WqyNfp6OigTZs21V2tOkmeGAaKxlQrjampqbCsrGfHqVOnAABGRkbFegikpKTg0aNHJQbHp8qT92YG2FAWE/mXF44FLB6MSc1hO0t8GBNxYTxql9jYWERHRwNQPuFyZdrQOTk5uHv3bhXWsm6Qf4fQ0dGBg4OD8HpGRgbi4+ORmppaJe/j7+8vvA+fBiwbr1ni5e/vj0uXLsHY2FjlxKZU/XiOKKdV37oePnwIAGjdunWpjxWYm5sLv17Lt6HKCQwMxJgxY9CrVy/07t0bjo6OWLp0qTBUgyoTJkyAnp4eAKiceC4yMlLYj4uLCwwNDauy6lqjUaNGwvLbs2W/TXH92+dGYWGh0LPD2toaMpkMv/76K0aOHAl7e3uMHDkStra2GD16NA4cOIA3b95U4afQLvn5+cJkJ40bN8bIkSM1XCMCimZ8zsrKAgC0b99ew7UhgDGpaWxniQ9jIi6Mh/hJpVLExcXhp59+gru7u/Bj5aefflqibGXb0H///XcV1bbuuHPnDgDA0tIShoaGOHnyJFxcXGBrawsnJyf069cPw4YNw44dO5CdnV2p97h//z6ioqIAFCV9LCwsqqz+dRWvWeKUkpIiDFe5fPlyGBsba7hG2ovniHJak2h+8+aN8EvoO++8U2Z5+WPoz58/r9Z61XUPHz7Ew4cPkZOTA6lUioSEBAQEBGD27Nn45JNP8PLlS6XbtW/fHl9++SX09PQQGBiIKVOmICAgAOHh4bh06RK2bt0Kd3d35OXloXv37li+fHkNf7K6QzH5cu3atVLLXr9+XVhOTEwsti4xMVFo+BkZGeEf//gH1q1bh0ePHhUrFxMTg2+++QbTpk0rs1FOyl28eFEY28nJyQkGBgYarhEBwO7du4Xl0aNHa7AmJMeY1By2s8SHMREXxkO8fvnlF1hbW8Pa2hq9e/fGqFGjsGnTJuF7ypw5czB27NgS2ym2oRXbyG/Lzc1FeHi48PfbbWhtV1hYiNjYWABFw4ysX78eS5YsEXqTyz19+hQ7d+7ExIkTK3VeyHszA0VjqVLpeM0Srw0bNiA1NRV2dnb8v6xBPEdU05rRwuU9moDivz6rIi9T2V9MtZ2BgQEcHBxgb2+Pdu3aoXHjxkhLS8OtW7dw+PBhJCUl4erVq5g2bRoOHTqktDfypEmT0K1bN/z44484ffp0iQacmZkZFi9ejIkTJ6Jhw4Y19dHqnLZt26J9+/aIiYnBhQsXcP36daWD2Pv5+QmNQKDkuZGeni4sh4SEIDc3F1ZWVli2bBkGDBgAPT093L59G9999x0iIiJw48YNrFy5Etu3b6++D1dHKTaU3dzcNFgTkjt58iT+/PNPAEC3bt0wYsQIDdeIGJOaxXaW+DAm4sJ41D7dunXD2rVr0a1bN6XrbWxsYGRkhLS0NPj6+uKjjz5SOsTG3r17iw0fx5gWl5mZicLCQgDAgwcPEBERARMTE3z++ecYNmwYGjVqhPv372Pbtm24dOkSHj58CA8PDxw8eFB4ArYsBQUFwtOAjRo14tOA5cBrljhdvHgRJ06cgL6+frFJr6nm8RxRTWt6NCtO4FCeyQXkM9kqm/iByhYaGorvv/8eEydOhI2NDTp37gx7e3vMmzcPp06dgr29PYCixsSuXbuU7iMrKwu+vr64dOmS0vXJyck4fvw4/vvf/1bb59AWixcvBlDUo2DWrFnw8vJCUlIS8vPzkZCQgG3btuHf//53sXPn9evXxfYhlUqF5dzcXJiYmODQoUNwcnKCoaEhDAwMYG9vDx8fH0gkEgDAmTNnivXwoLKlp6cLEwhYWVlx4gcRiI6OxqpVqwAU/ci2efNm6OjoaLhW2o0xqXlsZ4kPYyIujId4vf/++zhx4gROnDiBo0eP4j//+Q+GDx+OyMhILFmyBBcuXFC6XcOGDTF37lwARe1gd3d3+Pn5ISUlBXl5eYiJicHatWuxc+fOUtvQ2k5xcsTc3Fw0aNAAXl5e+OCDD2BsbIwGDRqgR48e2Lt3LwYOHAgAuH37tvBjcnlcunQJycnJAIBRo0aVKymk7XjNEh+pVIrVq1cDKJo0U9kPW1RzeI6opjWJ5gYNGgjLeXl5ZZaXjx+ruB2VX9OmTVWuMzQ0xLZt22BkZAQAOHz4cInxepOTkzF58mQcPHgQeXl58PDwwJ9//onIyEjcuHED+/btQ+/evREREYF58+bhwIED1flx6rwRI0ZgyZIl0NHRgVQqxYYNGzB48GB07doVjo6O8PT0RL169bBixQphG/kYQ3JvnyszZsxAixYtSryXgYGBkNgG/jf5B5XPqVOnhPNl3LhxTJ5p2JMnTzBr1ixIpVLo6upi48aNHAtYwxgTzWA7S3wYE3FhPMTLyMgIEokEEokEPXr0wJgxY+Dp6YlNmzbh8ePHmDNnDvz8/JRuO3XqVEyaNAkA8PLlS6xYsQL29vbo1q0bRo8ejYMHD8LIyKhY2/ftNrS2kydf5MaPHy90SlGkp6eHZcuWCX9X5DuE4tOAnES7fHjNEp/t27fj6dOnaNOmDebMmaPp6mg9niOqaU2iWXFoBsWel6rIy7AhUD2aNWsGZ2dnAEXH+u3Zl7/66is8ePAAOjo62LNnD+bNm4fWrVtDX18fTZo0weDBg+Hj4wNbW1vIZDJs2rSpxDheVDGzZ8+Gj48PBg8eXOzip6+vjxEjRuDYsWPFHh18+8eEt8+VwYMHq3yv/v37C4PlyycQpPJRnC2bDWXNevHiBT777DMkJSUBANatW4dRo0ZpuFbajTHRHLazxIcxERfGo/YZN24cRo0ahcLCQnz11VdIS0tTWm7t2rXYtWsXbG1ti00GZWBggHHjxuH48ePC2JxA6R1ytNHbQyiW9h3C2tpa6MhS3u8QmZmZCAoKAlA02aCdnV0la6pdeM0Sl4iICHh7ewMAVq9eXeIHGqp5PEdU05oxmuvXrw9jY2OkpqaWa/BteZnyDOpNldOxY0dhWTEm6enpOHv2LADA3t5eGGbjbfr6+li0aBE+/vhjFBYWws/PD//617+qt9J1nK2tLWxtbfHmzRskJyejsLAQ5ubmwo3sjz/+EMoqxg8oOld0dHQgk8kAoFiD+m0NGzaEsbExkpOTkZKSUg2fpG6Ki4vD7du3ARSNC9iqVSsN10h7paSk4LPPPhMmu1yxYgUmTJig4VppN8ZEs9jOEh/GRFwYj9pp+PDhOH36NKRSKS5evKh0UkAAcHR0hKOjI3Jzc/HixQvo6uqiRYsWwuPU8fHxQtm329Darn79+jA1NRUmui7r/7yFhQVevHhR7u8Qp0+fFh5V59OA5cdrlrjs378fBQUFaN++PVJTU3Hy5MkSZf7++29hOSwsTJjQdNCgQfyBqxrwHFFNaxLNANChQwdcv34djx49Qn5+frFfnBUlJSUJA3t36NChJqtIKEqmySeE6Nq1a6llFXvYKk5UR+qpX78+LC0tS7weGRkpLPfo0aPYukaNGsHS0hJPnjwBUDTpRmnk68s7iQfxsT+xyMzMxPTp04XGnIeHB6ZOnarZSmk5xkQc2M4SH8ZEXBiP2sfExERYfvbsWZnlGzRooLQjgGIbumfPnlVTuTqkQ4cOQqJZ/j1QlYp+hzh27JiwzPZzxfCaJR7yYRdiYmKwZMmSMst7enoKy/7+/kw0VxOeI8ppzdAZAPDee+8BKJpwoLRHba5du1ZiG6p6Dx8+FJYVx/JVbDSUlazMz88XllWd1FQ1CgoKhJ7mFhYW6NOnT4kytra2wvLjx49V7iszMxOpqakAAHNz8yquad0kk8lw/PhxAEWPYnI4AM3Izs7GjBkzEBUVBQCYOXMm5s2bp+FaaTfGRDzYzhIfxkRcGI/aRz4UE4BKTyCXlZWFy5cvAwD69OmjFb3ZKqq83yEAICEhAQCUzgXztkePHuGvv/4CUHQuvfvuu2rUUvvwmkVUOp4jymlVonnEiBHC8u+//66ynK+vL4CihOewYcOqvV7aKCMjQ5jAwcDAAN27dxfWWVpaCo803bhxo9T9KJ6wVlZW1VBTkjty5AgSExMBAJMmTYKubsnLh2Lys7SZoM+ePSsMsWFjY1PFNa2bwsLChJ40jo6OJcazo+r3+vVrzJkzRxi+xN3dHZ9//rmGa6XdGBNxYTtLfBgTcWE8ap/AwEBhWdkEdeWxe/duvH79GgDw8ccfV0m96honJydhubTvEFevXhXGylZMTqui+DSgq6urGjXUTrxmiYenpyfu379f6r8FCxYI5b29vYXXO3furMGa1208R5TTqkRzt27dhMH/jx07pjSJefz4cVy5cgUA4OLiAlNT0xqtY11w/vz5Yj2N35aVlQUPDw+hkTB+/Phig9mbmJigV69eAIDw8HAcPXpU6X5SU1OxZcsW4W9tOGGrS15eXqnjnF26dAkbN24EALRv3x7Tpk1TWm7w4MHo1KkTgKKbm7yHoaKkpCR8//33AIqG6HBzc1O3+lpBcXxsHrOa9+bNGyxcuFD4cWv8+PFYuXKlhmul3RgT8WE7S3wYE3FhPMTj6NGjwqPoqhw4cAAXLlwAUNShRVnniKysLOFxaGX8/Pzw008/AQD69euH999/X41a110SiQQODg4AgFOnTgnHXVFWVhbWr18v/D1p0qRS9ymTyYT2c8OGDYWJ6Kn8eM0iKh3PEeW0bqyBlStXYvLkyZBKpZgxYwZmzpwJe3t7FBQUICgoSJjJ08zMDIsWLdJwbWunr7/+Gm/evMHIkSPRq1cvWFlZwcDAAOnp6bh58yaOHDkiPIbWrl07LFy4sMQ+li5dik8//RQFBQVYtWoVwsLC4OzsDAsLC7x+/Rq3bt2Cl5eXsJ8BAwagf//+Nfo5xeTevXu4d++e0nXJycnw8/Mr9tqgQYNgZmYm/J2ZmYmhQ4fC0dERAwcORLt27aCnp4dnz57hzJkzOHXqFGQyGUxMTLB161aVs9zq6upizZo1+OSTT/D69WtMmTIFn332Gfr374969erhzp072Lt3L168eAEAWLx4MYfOKAepVIozZ84AKJo8oF+/fhqukfb5/PPPERoaCgDo3bs33N3di024oUxlez5R+TAm4sR2lvgwJuLCeFQNddu+mzZtwn/+8x84OTmhd+/esLKyQuPGjZGVlYX79+/jxIkTuHXrFoCiCci/+uorpWMCx8XFYdq0aRg5ciT69+8vDM0QHx+PgIAAIWHaunVrbN68uUo+uxipGw+gaBLfW7duIS0tDfPnz4e7uzscHBzQqFEjREdHY9++fcKkilOmTCk2V48y169fx9OnTwHwaUB18JpFVDqeIyXpyOTPr1eAfJIw+YW7tgkNDcXSpUuRkZGhdL25uTk8PT3LvHmJiZhiMmzYsHLVo1+/fti8ebPKROPJkyexatUqSKXSUvczYMAAbNu2DU2aNKlUfatDTcdjx44d2LlzZ7nLe3t7o2/fvsLfKSkpsLe3L3Wbzp07Y8uWLeWaKTsoKAjLly9HZmam0vU6OjpYsGBBscd7qpuYzpGK8vf3x/LlywEAs2fPLtcEEGJX2+JhbW1d4W3u379fDTWpPoyJuNS2eChiO0t8GBNxYTzUp27b18bGRmU7VVHLli2xfv16DBgwQOn6iIgIjB8/vtR92NnZYcuWLTU+NnNNxkTdeMjdunULCxcuRHJyssptP/zwQ3z55Zdlzs+zYsUKIcG9f/9+DBw4sNz1qw68ZolPbY6JMornoapzTMxqczx4jhSndT2agaLH+0+cOAFvb2+EhIQgMTERurq6sLKywogRI+Du7o5mzZppupq11saNG3Ht2jWEh4fj8ePHSE1NRVZWFgwMDGBubo6ePXti7NixZSY2x4wZAxsbGxw9ehSXL19GbGwssrKyoK+vDzMzM3Tv3h1jx47F0KFDhTGdqXKaNm2Kr7/+GmFhYYiKisLLly/x+vVrmJqaolOnTnB2dsb7779f7tmdhw8fjpMnT8LHxwchISF49uwZCgoK0KJFC/Tt2xdTpkwRhtigsnG2bCKqTdjOEh/GRFwYD807cuQIwsLCcPXqVcTFxeHVq1dIT09HgwYN0Lx5c3Tq1AkODg4YNWoUDAwMVO6nbdu2+PLLL3HlyhU8ePAAL1++RH5+Ppo3b46ePXtizJgxcHR0rMFPVrv17t0bJ0+exK+//opz584hISEBr1+/RvPmzdGnTx9Mnjy5XPO75OTkCE8Dmpuba/WTr1WB1yyi0vEcKU4rezTXRYyJuDAe4sOYiAvjIT6MibgwHuLCeIgPYyIujIf4MCbiwniID2MiLoyH+FQ2Jlo1GSARERERERERERERVT0mmomIiIiIiIiIiIhILUw0ExEREREREREREZFamGgmIiIiIiIiIiIiIrUw0UxEREREREREREREamGimYiIiIiIiIiIiIjUwkQzEREREREREREREamFiWYiIiIiIiIiIiIiUgsTzURERERERERERESkFiaaiYiIiIiIiIiIiEgtTDQTERERERERERERkVqYaCYiIiIiIiIiIiIitTDRTERERERERERERERqYaKZiIiIiIiIiIiIiNTCRDMRERERERERERERqYWJZiIiIiIiIiIiIiJSCxPNRERERERERERERKQWJpqJiIiIiIiIiIiISC1MNBMRERERERERERGRWphoJiIiIiIiIiIiIiK1MNFMRERERERERERERGphopmIiIiIiIiIiIiI1MJEMxERERERERERERGpRUcmk8kqupGlpWV11IWIiIiIiIiIiIiIRODp06cVKs8ezURERERERERERESklnrqbFzRrDZVH3kvc8ZEHBgP8WFMxIXxEB/GRFwYD3FhPMSHMREXxkN8GBNxYTzEhzERF8ZDfCo7mgV7NBMRERERERERERGRWphoJiIiIiIiIiIiIiK1MNFMRERERERERERERGphopmIiIiIiIiIiIiI1MJEMxERERERERERERGphYlmIiIiIiIiIiIiIlILE81EREREREREREREpBYmmomIiIiIiIiIiIhILUw0ExEREREREREREZFamGgmIiIiIiIiIiIiIrUw0UxEREREREREREREamGimYiIiIiIiIiIiIjUwkQzEREREREREREREamFiWYiIiIiIiIiIiIiUgsTzURERERERERERESkFiaaiYiIiIiIiIiIiEgtTDQTERERERERERERkVrqaboCmvL8+XP4+PggODgYiYmJ0NPTg5WVFRwdHeHu7o5mzZppuoqilZGRgYiICISHhyM8PBwRERFITk4GANjZ2cHHx6fc+4qJicEvv/yCy5cvIykpCQ0bNkTr1q0xevRoTJ48GQ0aNFC5bV5eHsLCwvDf//4Xt2/fRlxcHDIzM9GwYUNYWFjAzs4OH374ISQSidqfWezUjcmwYcPw9OnTCr2nt7c3+vbtW+w1xqT68JolLoyH+DAmmufu7o5r165VaJtvvvkGbm5u1VSjui0yMhKhoaG4efMmHj58iFevXqFevXpo3rw5evbsCRcXFwwePLhC+0xKSoKvry+Cg4Px5MkTZGZmwtjYGC1btoSNjQ1GjhyJXr16VdMnqhvy8vJw/PhxBAYG4t69e0hLS4Oenh7MzMzQs2dPuLm5YcCAARXer4eHBwIDA4W/g4KCYGVlVZVVr1Wq4v9/WloaQkNDERERgbt37+LFixdITU1Fbm4umjZtivbt22PIkCEYP348jIyMylWv8PBwHDx4ENeuXUNycjIMDQ3RoUMH/N///R/c3Nygp6dXFR+/Vnvz5g2OHTuGM2fO4N69e8jMzESzZs3QsWNHvP/++3B1dS31OL169arYd56IiAikpaUBAFxdXbFx48aa+ihahe0szcvJycGFCxcQHh6OyMhIPH/+HKmpqZBKpTA0NETbtm0xYMAATJw4Eebm5pqurtbhOfI/OjKZTFbRjSwtLQGgwokpsQgNDcXSpUuRkZGhdL25uTk8PT3RrVu3Gq5Z5dVkTEpLSlYk0ezn54c1a9YgNzdX6fr27dvjhx9+QKtWrUqsS0lJgbOzs9CoUEVXVxezZs3C4sWLy1WnqlLT54i6MaloollXVxchISHFbmCMSfXhNUtc6mI8AMZEbGpjPCqTaD5y5EitSFyKLR5TpkzB9evXyyw3dOhQfPvtt2jSpEmZZQ8fPozNmzcjOztbZZnhw4fD09OzQnWtLmKLCQAkJiZi1qxZePDgQanlnJ2dsXnzZtSvX79c+z1//jzmzp1b7DWxJZprMh5V9f8/MDAQHh4eZe7H2NgYW7ZswaBBg0ott2fPHmzbtg2FhYVK1/fu3Rs//PBDjSUbxHiOxMfHY/78+Xj48KHKMj179sSePXtgYmKidL21tbXKbcWcaBZjPMqrLrazgNoXk4iICIwfP77Mco0aNcKXX34JV1fXGqhV1alt8VDEc6Q4revRHB0dDQ8PD0ilUhgYGGDGjBmwt7dHQUEBgoKC4OPjg6SkJMyZMwe+vr78JagMzZs3R/fu3REcHFyh7S5duoRVq1ahoKAAxsbGmDNnDnr16gWpVIrjx4/j2LFjiImJwezZs3H06FE0bty42PZv3rwREpoSiQTDhg1D79690bx5c+Tk5CAsLAxeXl7IzMzEnj17oKOjg0WLFlXZ5xazysRk//79yMvLK7VMVFQUli9fDgDo379/iXODMakevGaJC+MhPoyJeGzYsAE5OTmllnn16hWmTp0KAGjTpk2tSDKLUVJSEoCie76TkxNsbGxgaWkJHR0dREREwNvbG/Hx8QgJCcHcuXPh7e0NXV3VI+bt3bsX3333HQCgVatWmDhxInr06IFmzZohIyMDDx48QFBQEOrV07qvDuWWn59fLMncsWNHTJ06Fe3atUNubi4iIiKwf/9+pKWl4fTp0zAyMsKaNWvK3G9WVhbWrl0LADA1NcWrV6+q82PUClX5/9/Kygp2dnbo0qULWrZsCTMzM+Tn5yMpKQlnzpzB2bNnkZqairlz5+L3339Hp06dlO7n999/x/fffw+g6Iv57Nmz0blzZ6SkpODw4cMIDg7GrVu3sGDBAnh5eZV6PtZVKSkpmDZtGp49ewYAGDFiBFxdXdGyZUu8fPkSp0+fxrFjx3Dnzh3MmjULBw8eLPPHGAsLC7Rr1w6XLl2qiY+gldjOEhczMzP07dsX3bp1g4WFBczMzKCnp4ekpCSEhIQgICAAUqkUK1asgImJCYYMGaLpKtd5PEeUkFWChYWFzMLCojKbapy7u7tMIpHIOnfuLLt27VqJ9f7+/jKJRCKTSCSyL774QgM1rJyajMmPP/4oCwwMlD179kx4TX7MpkyZUub2eXl5spEjR8okEomsV69espiYmBJldu3aJexzx44dJdY/f/5cNnXqVNnNmzdVvk9cXJysb9++MolEIuvSpYvs8ePH5fyE6qvpc0TdmJTHV199Jezz+PHjJdYzJtWD1yxxqavxkMkYE7GprfEoy08//STEY/fu3ZquTrmJLR6zZs2SBQQEyPLy8pSuz87Oln344YfCsfb391e5r7CwMJm1tbVMIpHIlixZIsvNzVVZtrR1NU1sMTl9+rRwvCdMmKA0NgkJCbL33ntPJpFIZJ06dZK9fPmyzP2uW7dOJpFIZFOnTpUtX75ceI+EhITq+BiVVpPxqKr//6q2V3T27FlhP/Pnz1daJj09XWZrayuTSCSyQYMGyZKTk0uUWblypbCfY8eOlfm+VUFs54j8/7JEIpF9//33SsscPHhQKPPzzz8rLbNt2zbZ+fPnheOckJAgbLMB1/G2AAAgAElEQVR8+fLqqr7axBaP8qqr7SyZrPbFJD8/v8wyd+7ckXXt2lUmkUhk48aNq4FaVZ3aFg85niMladVPqZGRkbh69SqAosdqbG1tS5RxcXFBv379AAB//PEHew0oMX36dDg5OaFly5aV2j4oKAjx8fEAgJkzZ6Jdu3YlysyZMwdt2rQBUDQWcH5+frH15ubm+Pnnn9GnTx+V79OmTRvMnz8fQFEvk6CgoErVtzZQNyZlycvLQ0BAAADA0NAQI0aMKFGGMal6vGaJC+MhPoxJ7XPs2DEARcMoubi4aLg2tdcPP/yAMWPGqOxh3KhRI6EXLIBiY/sqkslkWL16NWQyGSQSCTZu3FhqD8LyDvWgjW7duiUsz5kzR2lsrKyshDHJCwsLcefOnVL3efv2bRw8eBANGjQoV+9nbVFV///L00Pf0dERbdu2BQDcuHFDaZnff/8d6enpAIClS5eiefPmJcqsWLFCGMJj//79Zb5vXVNQUIDjx48DKOqFvHDhQqXlJk+ejO7duwMA9u3bp3QYkn/84x9wcHBQepyparGdJS7lGeO9R48ewjxKUVFRpQ6HRerjOaKcViWaz549KyyXNrbNBx98AKDohnj+/Plqr5e2+fPPP4Vl+bF+m66uLsaNGwcASE9Pr/CYj3KKk9U9evSoUvsg4MKFC0hNTQVQNK5gw4YNK70vxqT8eM0SF8ZDfBiT2iU6Ohr3798HAPTr16/afhylItbW1sIEZo8fP1Za5vLly4iLiwMAzJo1C/r6+jVWv7pGcQgyZfOLyLVu3VrpNsr2t2rVKhQWFmL27NnFtqOylef/f3nJh/BTNa+M/LtN48aN4ezsrHIfo0aNAgA8ePBA69rA8fHxwtilAwYMKDVhJn/U/+XLlyqT+1Qz2M6qnRSHHX3z5o0Ga1L38RxRTqsSzTdv3gQAGBgYCL+UKqOYCJNvQ1Xnr7/+AlDUu7W08WmqIg6KDXjO8lx5/v7+wrL8B4DKYkzKj9cscWE8xIcxqV3kvZkB9e8lVD7yJ8JUjQd76tQpAICOjg4cHByE1zMyMhAfHy/8yExlk/d6BYCEhASV5RSTnorbvG3v3r34+++/0bZtW8ycObNqKqllyvr/Xx6xsbGIjo4GAKVPYebl5SEiIgIA0KtXr1J7/WvzvUhxsnBTU9NSyyquL8+kj1R92M6qfVJSUhAWFgagaCJTY2NjDdeobuM5opxWJZrls9u2bt261EelzM3NhV+BSpsRlyouOzsbiYmJAID27duXWlaxMVfZOCg2TpQ1DqlsqampCAkJAQC8++67sLGxUWt/jEn58ZolLoyH+DAmtUd+fj5OnDgBoKinzciRIzVco7ovKioKWVlZAFS3ueRDN1haWsLQ0BAnT56Ei4sLbG1t4eTkhH79+mHYsGHYsWMHH78tw5gxY2BoaAigKElcUFBQosyzZ8/g5+cHALC1tYVEIlG6r9jYWOzZswcAsG7dOg5ZUgnl+f+vilQqRVxcHH766Se4u7sLCetPP/20RNn4+HhhfU18t6mtFHtYyuOiSmZmprCsbcdJbNjOqh1yc3ORkJCAI0eO4MMPPxSG8lF2zaKqxXNEOa2ZOvrNmzdCr4x33nmnzPItW7bEw4cP8fz58+qumlZJSkqCTCYDUHYcjIyMYGBggJycnErFQSqVwsvLC0DRmILDhw+veIUJJ0+eFHohqzueJmNSfrxmiQvjIT6MSe1y8eJFYUw6JycnGBgYaLhGdd/u3buF5dGjR5dYX1hYiNjYWABFvZ7Wr18Pb2/vEuWePn2KnTt3IjAwEPv37y/X+aaNTExMsHnzZixduhS3bt2Cq6srpk6dirZt2+L169eIjIzE/v37kZGRgXfffRfr169Xuh+ZTIb/x959h0Vx7X0A/4LSLBEsEBDFWFaTYBeNem1BwZar8JpEE/FaEXNt0cSeRGNM1OQWa0TjfQxqEk0g9o4YxFhjwwJGBERFOggsIGXeP/bZySK7sGWAgf1+nsfnWXdnzp7dH6fM2TPnfPLJJ3j+/Dl8fX3Rs2fPKv4ktUNFf/8v2rVrF1auXKnz9YCAALz11ltlntdsUyoqG5rLBZlbW9SyZUtYWVmhsLCwwiURNSelqCcoUdVjP0vewsLCEBAQoPN1X19fTJkypQpzZH5YRnQzm4FmzV9O69WrV+Hx6mM4e0Namt+nvnHIy8uDUqk0+L3WrFmDJ0+eAADGjx9f7jIdpJt62QwLCwuTb3VmTPTHOkteGA/5YUxqFs0lmNSboVHlOXz4sLhurLu7u9ZNfLOzs8WNtu7du4fIyEg0btwYH330Ed58803Uq1cP0dHRWLduHSIiInD//n3MmTMHP/zwA5e+0sHT0xMhISHYsWMH9u7di8WLF5d6vUGDBpg7dy7ee+89NGrUSGsae/bswZUrV2Bvb4+PP/64KrJd6+jz968vd3d3rFixAu7u7lpfN+TaRvN1Y65tarJ69eqhd+/eCA8Px71797B//36tE1jOnz+PiIgI8f9ss6sP+1k1k5ubG1asWIHevXtXd1ZqPZYR3cxmoFlz8wZ9NjpR36Kma9MHMo6xccjPzzfofX755Rf89NNPAIB27dphzpw5Bp1PKjExMeK6cx4eHnB1dTU6LcbEMKyz5IXxkB/GpObIysoSNz5xdXU1eQkmKl9UVBSWLVsGQLVm4Nq1a2FhYVHmuLy8PPFxQUEBbGxs8P3335dazqFTp07YunUr/P39ERERgevXr+PEiRM6Nzwzd4WFhdi/fz9CQ0PFO/g05eTk4ODBg3B0dNS6IXZycjK++eYbAMCCBQvQuHHjSs9zbaPv3/+LRo4cKc4ez8/PR0JCAg4fPozQ0FDMmzcPS5cuFTep06R5jVJRW6S5BIqh1za1waxZs/D777+jqKgIS5YswcOHD+Hj44OXX34ZaWlpOHr0KNatW4e6deuKd1Oa4/ckF+xnyZuHh4e4JNnz58/x5MkTnD59GgcOHMCCBQvw4Ycf8of9SsYyopvZrNFsY2MjPi5vh2c19e6cmueR6YyNg62trd7v8dtvv2H58uUAVLeCbtiwwaDz6S+aGzf5+PgYnQ5jYjjWWfLCeMgPY1JzHDlyRPz+R48erdegDxnn0aNH8Pf3h1KphKWlJVavXq1z3dgX1/0dM2aM1jWD69SpgwULFoj/V28gSKUplUpMmjQJW7ZsQUZGBiZNmoRDhw4hMjISV69exa5duzBw4EDExMRgyZIlWpfOWLlyJbKzs+Hh4cEBAiMY8vf/Int7eygUCigUCnTq1AkjRozA5s2bsWbNGjx8+BABAQHi+tqaNPuzFbVF6nrwxfPMRadOnbBq1SpYWVmhqKgIGzduhKenJ15//XX0798fX331FQoKCvDZZ5+J52iu7UxVi/0seWvQoIFYZ7m7u8PLywurV6/G9u3bkZmZicWLF2Pjxo3Vnc1ajWVEN7MZaFZvzgHod6uS+hg2btLS/D4NiYM+tyIAqjW9Zs+ejcLCQjRs2BDbt28vd0dv0q2kpAQHDhwAoPr+vb29jUqHMTEO6yx5YTzkhzGpOaRcgol0S05OxuTJk5GUlARAtYnc0KFDdR6vWYYAoH///jqPbd++PRwdHQFAvNOJStuwYYO4tuznn3+ORYsWoV27drC2tkb9+vXh4eGBwMBAjBw5EgAQFBQkzvQHgFOnTuHEiROwsrLCihUr+IOMgQz9+9fX6NGjMXToUJSUlGDlypXIzMws9boh1zaar+t7bVPbjB49Gr/88guGDh1a6ruztLREnz598OOPP2LQoEHi8y+99FJ1ZJPAflZN1bt3b0yYMAEAsGnTJsTExFRzjmovlhHdzGbpDGtrazg4OCAjI0OvxbfVx3DDE2k5OTnBwsICgiBUGIfMzEzxtk594nDz5k1Mnz4d+fn5qFevHgIDA/H6669Lkm9zdP78ebGz7uXlZVSFyJgYj3WWvDAe8sOY1AyxsbG4fv06AKBHjx5o0aJFNeeodkpPT8fkyZMRHx8PAFi8eDHefvvtcs+xtrZGkyZNxE0aKyobLi4uSE5ORnp6ujSZrkUEQRBnu7q5uWHMmDE6j/3oo49w6NAhAEBwcDDefPNNAEBgYCAAoEuXLoiKikJUVFSZcx89eiQ+DgsLE5fW8PLy0uu23drKmL9/Q3h6euLo0aNQKpU4e/ZsqU0BNctNRW2R5sZ25twWdejQAevWrUNxcTFSUlJQUFAAR0dHcZPYK1euiMe2a9euurJp9tjPqrk8PT3x3XffoaSkBCdPntT7zg4yDMuIbmYz0AwAbdu2xeXLlxEfH4+ioiLUrav94yclJYkLe7dt27Yqs1jr1a9fH87Oznjy5EmFv66pd0IHKo5DVFQUpk6ditzcXFhbW2PTpk3o3r27JHk2V5rLZhgzA40xMR3rLHlhPOSHMZE/zU0AOZu5cmRnZ2PKlCn4888/AQBz5szBxIkT9Tq3bdu24kCzemNAXYqLiwGAGwFqkZqaKs50regHdWdnZ3GAX7Ovq76l9vLly+LM6PJ88cUX4uPLly+b7UCzKX//+tJcK1u9qbVaq1atULduXRQVFUl6bWMO6tSpo3XA5datW+LjTp06VWWW6AXsZ9VM5dVZJC2WEe3MZukMAOIgV15eXrm3/V26dKnMOSSdbt26AQDi4uLEGbPa6BuHmJgYTJo0CVlZWbCyssK6devQp08f6TJshnJycnDq1CkAqhlMb7zxhkHnMybSYJ0lL4yH/DAm8iYIgrgEk52dnSS3sVNpubm5mDp1Ku7cuQMAmDZtGj744AO9z/fw8BAfP3z4sNxjExISAEBcQoP+ojn4rh6QL09RUREA6LwgJf2Y+vevL83rlReXvLCyskLHjh0BANevXy+1DvOL2Bbp59ixYwBU7YZ6xj9VD/azaqby6iySFsuIdmY10DxkyBDx8S+//KLzuODgYACqTiMbN+l5eXmJj9Xf9YtKSkrEGbWNGjUSd4F+0cOHDzFx4kSkp6ejTp06WLt2LWMmgWPHjonLlvz97383aJ1AxkQ6rLPkhfGQH8ZE3i5cuCDOpBk8eHCZNYHJNPn5+QgICBCXJvHz88NHH31kUBqa+y+cOHFC53EXL14UZ+xqDk6TioODAxo2bAgAuHbtmjiQrE10dDSysrIAAK6uruLz+/fvR3R0dLn/NDdmDg0NFZ83x3Vspfj715d64BOA1g0z1dc2ubm5OHr0qNY0NF9TKBRwc3OrhJzWfL/99huuXbsGQHUNoi5XVD3Yz6qZKqqzSDosI9qZ1UCzu7u7OGD566+/llr/Se3AgQM4f/48AGDUqFFo0qRJlebRHHh6eqJVq1YAgG3btpW6jUwtMDAQcXFxAIAJEyZonfGRmJiIiRMnIjk5GRYWFli1ahWGDx9emVk3G/v37xcfa17UVIQxkRbrLHlhPOSHMZE3zbbE19e3GnNS+zx//hyzZs0SZ8iMGTMGS5cuNTgdhUIhbrx15MgR/Pbbb2WOycnJwapVq8T/jx071shc114WFhYYMGAAANWmdBs3btR6XH5+fqklL8zhYrMySPX3//PPP5c7AxkAduzYIZYLV1dX9OjRo8wxY8aMQaNGjQAA//73v8XlaDStXr0a2dnZAIApU6YYnNfaory7We/cuYMFCxYAUN36/+GHH1ZVtkgH9rPkZd++fcjNzS33mCNHjmDPnj0AgIYNG7KdqWQsI9pZCIIgGHpS8+bNAQCPHz+WPEOVLSoqCuPGjYNSqYSdnR2mTZuG3r17o7i4GKGhoQgKCkJxcTGaNWuG4OBgODk5VXeW9VKVMbl79y7u3r1b6rnFixcDAF555RX4+/uXeq1fv35o1qxZqeciIiLg7++P4uJiODg4ICAgAF27doVSqcSBAwfEDVXatGmDn3/+ucxGdBkZGRg7dqw4GD1+/Hi8++675ebbzs6uyjYhquoyIkVM1B49eoTBgwdDEAR07doVP/30k155YEwqB+sseamt8QAYE7mpqfFQUyqV6Nu3L5RKJV5++WWEhYXB0rLmzm+QWzxmz56N48ePAwC6du2K5cuXV/j96prVFB8fj3feeQeZmZmwsrKCn58fBg0ahHr16iEqKgrbtm0r1bZ/8sknkn4WY8ktJrGxsfD19RV3le/fvz98fHzg5uaGoqIi3L59G0FBQYiNjQWg2uTs119/NWht5UWLFol3/IWGhpaaEV3dqjIeUv399+jRA1ZWVvD29kbXrl3h6uqK+vXrIycnB9HR0Th48KA4u9bKygpbt27VuRTczz//jGXLlgFQfRcBAQHo0KEDMjIy8NNPP+H06dMAgJ49e+L777+vkvpQbmUEUN0R0b17dwwcOBDt2rWDra0tkpKScObMGYSEhKCwsBB2dnbYsmWLzqX7rly5Umqpn4yMDKxduxaAaonGFzeC9Pb2NmpTc6nJMR76qK39LKDmxWTUqFF49OgRhgwZgh49eqBVq1Zo0KABlEolHjx4gOPHjyM8PByA6gfQr776yqBJY9WtpsVDjWWkLLMbaAaA8PBwzJ8/H8+ePdP6upOTEzZv3gx3d/cqzpnxqjImGzZs0DlTQ5ugoCD06tWrzPMhISFYvnw5CgoKtJ7Xpk0bBAYGah2IvHjxIiZMmKB/pqHq2O3cudOgc4xV1WVEqpgAwMaNG7FhwwYAwOeff17hYLEaY1J5WGfJS22MB8CYyE1NjgegmnWzcOFCAMD06dMxb968as6RaeQWj/bt2xt8TnR0tM7Xrl27hlmzZiElJUXnMe+++y4+/fRT2awrLLeYAKrlYubNm6d1Rqum119/HZs2bYKzs7NB6XOgWUWqv/8ePXqIs4zL4+zsjFWrVqFv377lHvftt99i/fr1OjfW7Nq1K7Zs2QJ7e3v9Mm0iOZYR9cQiXVxdXbFmzRqtM8fVNMuBPuRSVuQYD33Vxn4WUPNiMmrUKERFRVV4nL29PZYtW4a33nqrCnIlnZoWD00sI6XJo6dYxfr374+DBw8iKCgIZ86cQWJiIiwtLeHq6oohQ4bAz89PvP2JKo+vry86d+6MnTt34ty5c0hKSoKtrS1atWqFYcOGYdy4cbC1ta3ubJod9a3ONjY2GDZsWDXnhgDWWXLDeMgPYyI/moMAo0ePrsackD66du2Kw4cPY/fu3Th16hQSEhKQn5+Ppk2bolu3bhg3bly5Az+k8sYbb+Do0aMIDg7Gb7/9hj///BPPnj2DpaUlmjRpgtdeew1Dhw7FsGHDZDNgb8727NmDCxcu4OLFi4iNjUVaWhqysrJgY2ODpk2bokOHDhg0aBCGDh0KOzu7CtObMWMG+vbti927d+Py5ctISUlB/fr10a5dO/z973+Hr69vqY0jzdGqVasQERGByMhIJCcnIzc3Fw4ODmjbti28vLzg4+PD6z8ZYj9LHjZv3ozz58/j4sWL+PPPP5GamirejeTg4ACFQoF+/frhrbfeMsu1+6sTy0hpZjmjuTZiTOSF8ZAfxkReGA/5YUzkhfGQF8ZDfhgTeWE85IcxkRfGQ34YE3lhPOTH2JjU3MXyiIiIiIiIiIiIiEgWONBMRERERERERERERCbhQDMRERERERERERERmYQDzURERERERERERERkEg40ExEREREREREREZFJONBMRERERERERERERCbhQDMRERERERERERERmYQDzURERERERERERERkEg40ExEREREREREREZFJONBMRERERERERERERCbhQDMRERERERERERERmYQDzURERERERERERERkEg40ExEREREREREREZFJONBMRERERERERERERCbhQDMRERERERERERERmYQDzURERERERERERERkEg40ExEREREREREREZFJONBMRERERERERERERCbhQDMRERERERERERERmYQDzURERERERERERERkEg40ExEREREREREREZFJONBMRERERERERERERCbhQDMRERERERERERERmcRCEATB0JOaN29eGXkhIiIiIiIiIiIiIhl4/PixQcdzRjMRERERERERERERmaSuKScbOqpNlUc9y5wxkQfGQ34YE3lhPOSHMZEXxkNeGA/5YUzkhfGQH8ZEXhgP+WFM5IXxkB9jV7PgjGYiIiIiIiIiIiIiMgkHmomIiIiIiIiIiIjIJBxoJiIiIiIiIiIiIiKTcKCZiIiIiIiIiIiIiEzCgWYiIiIiIiIiIiIiMgkHmomIiIiIiIiIiIjIJBxoJiIiIiIiIiIiIiKTcKCZiIiIiIiIiIiIiEzCgWYiIiIiIiIiIiIiMgkHmomIiIiIiIiIiIjIJBxoJiIiIiIiIiIiIiKTcKCZiIiIiIiIiIiIiEzCgWYiIiIiIiIiIiIiMgkHmomIiIiIiIiIiIjIJBxoJiIiIiIiIiIiIiKTcKCZiIiIiIiIiIiIiEzCgWYiIiIiIiIiIiIiMgkHmomIiIiIiIiIiIjIJHWrOwPV5enTp9i5cyfCwsKQmJiIOnXqwNXVFYMHD4afnx8aNWpU3VmsFQoLC3HgwAEcO3YMd+/eRWZmJurUqYNmzZqhc+fO8PX1Rd++fbWe++jRI3h6eur1Pj179sTOnTulzHqNcuvWLYSHh+OPP/7A/fv3kZaWhrp166Jp06bo3LkzRo0ahf79+1eYTlpaGm7evImbN28iMjISkZGRyMzMBAD4+Phg9erVBuctLi4OwcHBCA8Px9OnT6FUKtGkSRM0b94cPXv2xLBhw6BQKAxOV86ePXuGyMjIUt9lSkoKAMP/VmNiYrBr1y6cO3cOSUlJsLW1hZubG4YPH45x48bBxsamwjTS09OxZ88ehIeH48GDB8jJyYGNjQ1cXV3Rs2dPjB07Fm3btjX689YEpsYkMzMT4eHhiIyMxO3bt5GcnIyMjAwUFBTgpZdeQps2bTBgwACMGTMG9vb2OtO5ePEiJkyYoFeejS1zNYGUZQQAkpKSEBwcjLCwMDx69AjZ2dlwcHCAs7MzevToAS8vL3Tp0kXv9EpKSjBu3Dhcv35dfC46OtqgPNU0colJ+/btDc57aGgoXF1dDT5PzkyNR2X1ocyxTQdMj0dJSQmuXr2Ks2fP4urVq4iNjUVmZiasrKzg5OSEbt264e2330bXrl3LTYfl4y9S9H2latsBIDExUfzbuHnzJm7fvo2cnBwAwMyZMzFr1izJPntNJUXMpCpLZDiOn8iD1P01kg7LyF/McqA5PDwc8+fPx7Nnz0o9f/fuXdy9exd79+7F5s2b4e7uXk05rB0SExPh7++Pe/fulXq+sLAQCQkJSEhIwKFDhzBs2DCsXbsW1tbW1ZTTmm38+PG4fPlymedf/J4HDhyIb775Bg0bNtSZVp8+fSTLlyAI2LRpE7Zs2YLCwsJSryUmJiIxMRFXrlxBTk4Oli5dKtn7ysHo0aPx+PFjk9MJCQnB8uXLUVBQID6Xn5+PzMxM3LhxA3v37kVgYCBatGihM43z589j7ty54g8GakVFRYiOjkZ0dDR+/PFHzJs3D1OmTDE5z3JlakwuXLiAjz/+WOtraWlpSEtLw6VLl/Ddd9/h66+/Rr9+/Yx+L3MgVRkBgJ9++glr165Fbm5uqeeTk5ORnJyMGzduIC4uDps3b9Y7zd27d5caZDYHco+JLg0bNkSzZs1MTkdupIyHFMy5TQdMj4enpyeePHlS5vnCwkLExsYiNjYWwcHB8PX1xYoVKyTrE9fW8iFV31eqtv3x48d48803jf9AZkCqmFVXWTJ3HD+RD7n1D0iFZaQ0sxtojoqKwpw5c6BUKmFnZ4epU6eid+/eKC4uRmhoKHbu3ImkpCQEBAQgODgYTk5O1Z3lGqmoqKjUIHO7du0wceJEtG7dGgUFBYiMjMT27duRmZmJo0ePwt7eHsuXL9eZ3ty5c8udmWNnZyf1R6gxkpKSAABNmzaFt7c3evTogebNm8PCwgKRkZEICgpCXFwczpw5gxkzZiAoKAiWlhWvmuPi4oLWrVsjIiLCqHytWLECP/74IwCgQ4cO8PX1xWuvvYYGDRogIyMDd+7cwalTp/TKS03WtGlTdOzYEWFhYQadFxERgWXLlqG4uBgODg4ICAhAly5doFQqceDAAfz666+IiYnB9OnT8fPPP6N+/fpl0khISMCMGTOQl5cHABg4cCB8fHzg4uKCtLQ0nD17Fnv27EFRURHWrl0LZ2dnDB8+XJLPLWfGxkQ9A/y1116Ds7MzmjVrhqKiIiQlJeH48eM4efIkMjIyMGPGDPzyyy/o0KFDuel9+eWX6Nixo87XzeVXb2PjAQBbt27Fv/71LwBAixYt8M4776BTp05o1KgRnj17hnv37iE0NBR16+rf3UlMTMR//vMfWFhYwMHBAenp6Qbnq6arzpgcPHiwwvc4c+aM+B7Dhw/X686OmsyUeADS9KHYpv/FmHio+2qurq7w8vJC9+7d4eTkhMLCQly9ehU7duxASkoKQkJCUFRUhK+//lprOiwfKlL2faVo2wVBEB9bWFigZcuWcHR01Dqwaq6kiplUZYn0x/ET+TK1f0DSYBnRQjCCi4uL4OLiYsyp1c7Pz09QKBTCq6++Kly6dKnM6/v27RMUCoWgUCiERYsWVUMOjSO3mBw9elT8Ht9++22hsLCwzDEJCQlC9+7dBYVCIXTo0EFITU0t87o6jeDg4KrKuiSqMh7+/v7CoUOHtH7HgiAIubm5wrvvvit+l/v27dOZ1rp164TTp08LKSkpgiCUjsHChQv1zlNISIh43po1a4Ti4mKdxxYUFOidrimqMibfffedcOzYMeHJkyfic+rvY/z48RWeX1hYKHh5eQkKhULo0qWLEBMTU+aYTZs2iWlu2LBBazorVqwQj/nqq6+0HnPixAnxmJEjR+r5CU1X1XWWFDGpyMmTJ8U0//nPf2o95sKFC+IxFy5c0P8DVIGaVEYEQfVdtm/fXlAoFMK8efPKrUsMqWemT58uKBQKYenSpYLvWSoAACAASURBVML48ePFfFW1mlZGBKHyYvIidYwUCoXwxx9/GJ2OIWpaPKTsQ8mxTReEmlVnvfPOO8KZM2eEkpISra+npqaK7b5CoRAuX75sdF6ro3wIQs3s+0rVtqenpwubN28WIiIihMzMTEEQSrf369ev1/OTSUtO14dSxawqy5LU5BQPQ9TW8RNBqJkxkaK/Jlc1MR6CwDKiTe2fdqDh1q1buHjxIgDV2pceHh5ljhk1ahTeeOMNAMD+/fuRlpZWpXmsLa5duyY+DggI0DpzydXVFb6+vgBU623duHGjyvJXmwQGBmLEiBE6Z4fVq1cPK1asEP9/7NgxnWnNnj0bgwYNQtOmTY3OT25urriubL9+/bBgwYJyZzjVxlvapkyZAm9vbzg7Oxt1fmhoKOLi4gAA06ZNQ+vWrcscExAQgFatWgEAgoKCUFRUVOYYdTm0sLDAzJkztb7XkCFD8OqrrwIA7t27J64nWNuYGhN9ZsQOHjwYr7zyCgDgypUrRr2PuTA1HoIg4LPPPoMgCFAoFFi9enW5dYm+9cyRI0cQFhaGxo0b46OPPjIqbzWVXGPyovT0dJw9exYA0KpVK3Tr1s2odOTO1HhIhW26iqnx2LNnDwYMGAALCwutrzdp0gQLFy4U/19eX6085lI+pOr7StW2Ozg4YMaMGejbt6/Z3I1kKKliVlVliVQ4fiI/cukfkArLiHZmNdB88uRJ8fGYMWN0Hvd///d/AIDi4mKcPn260vNVG2mu31fe+rFubm5azyFptW/fXtzE5OHDh5X6XocOHRLXA/7ggw8q9b1qqxMnToiP1fXRiywtLTF69GgAQFZWFi5dulTmGHWZsre3R4MGDXS+X8uWLcucQ8ZRL2Giua42Se/cuXOIjY0FAPj7+8PKysrkNLOysrBq1SoAwMKFCyvc+IlKq4yYaHPw4EHxhzV1HUiVh2161enVq5f42Ni+GsvHX6Ts+7JtrxpSxUyKskQqHD8hKh/LiHZmNdD8xx9/AFCtRVfeupiajZP6HDKM+pd/QLVOrC6ajb/mOSQ99YVHZa+feOTIEQCqwU3NmTTp6emIj48vs0A+lXX16lUAqtlI5a3hVFFdpS5TmZmZ5c5UVpdRe3t7ODg4GJVnAh48eICoqCgA0DoLnaSjrmcsLCwwaNAg8flnz54hLi4OGRkZBqe5Zs0apKamolevXmY/QGOMyoiJNvv27RPfZ9SoUZKkSbqxTa86mj/0GttXY/koTYq+L9v2qiVFzKQoS6TC8ROi8rGMaGdWmwHev38fgGoWbXm3Sjk5OaF+/frIzc0VzyHDjBgxAv/973+Rk5ODrVu3YsCAAahTp06pY548eYKQkBAAgIeHBxQKhc70du3ahS1btiAxMRFWVlZwdHREt27d4Ovrix49elTqZ6kN7ty5Iw40tmnTptLep6SkBJGRkQBUsxIEQcAPP/yA77//HvHx8eJxbdq0wTvvvIP33nuv1t5ma6zc3FwkJiYCqDhWmhc82uqqsWPH4sSJExAEAZs2bSp1K6FaaGgo7ty5AwB4//33Tcm6WVIqlUhKSkJYWBi2b98uXiD94x//qPDc//znP0hOTkZycjLs7Ozw8ssvw8PDA++++y7at29f2Vmv0dRLLTVv3hwNGjTA4cOHsXXrVnEwQP2aj48PJk+erHWzTE0XLlxAcHAwrK2tS926S/qTOibaREdHi/VVr1694OLiIk3mazlj+1Bs06uW5sZxxvTVWD5KM6Xva0rbTsaT6nrF1LJEf+H4CVH5WEa0M5uB5ufPn4uzaV5++eUKj3d2dsb9+/fx9OnTys5ardS4cWOsXbsW8+fPx7Vr1+Dj44OJEyfilVdeQX5+Pm7duoXt27fj2bNnaNmypXi7si63b98WHz9//hyxsbGIjY1FcHAwhg0bhi+++KLcpQHM3bfffis+Hj58eKW9T2JiInJzcwGoZj/Nnj271DIQajExMfjqq69w8uRJbNmyBQ0bNqy0PNU0SUlJ4u7lFdVV9vb2sLOzQ15enta6qm/fvpgxYwa+/fZb/O9//0N8fDxGjRoFZ2dnpKenIyIiAj/99BMAYMCAAZg2bZr0H6gW2rVrF1auXKnz9YCAALz11lsVpqO5ln1hYSGePXuGe/fuYffu3fDz88PChQsrbfmBmqykpAQPHjwAoFoXc9WqVQgKCipz3OPHj7Fx40YcO3YM27dv11meCgoK8OmnnwIApk+fzrtrjCB1THRRz9YEVOvgkX6M7UOxTa86JSUlCAwMFP8/bNgwg9Ng+SjN0L6vVG07GU+K6xUpyhKpcPyEqHwsI7qZzUCz5m3j9erVq/B49THqDjYZztPTEyEhIdixYwf27t2LxYsXl3q9QYMGmDt3Lt577z2dG2e89NJLGDx4MHr27Ak3NzfY2dkhNTUVly5dwt69e5GZmYmjR48iKysL27Zt02tTD3Nz+PBh8cLQ3d0dQ4YMqbT3ysrKEh+fOXMGBQUFcHV1xYIFC9C3b1/UqVMH169fx7/+9S9ERkbiypUrWLp0KdavX19peappNOscfeuqvLw8KJVKra/PnTsXvXr1wrZt2xAaGorQ0NBSr7dq1QrTp0/HqFGjytx1QIZxd3fHihUr4O7uXu5xzZo1w5AhQ9C9e3e0aNECdevWRXJyMiIiIhAcHIy8vDzs3LkTOTk54iZc9Jfs7GyUlJQAUG1gGRkZKW7e9+abb6JevXqIjo7GunXrEBERgfv372POnDn44YcftP6Nb9y4EfHx8WjVqhX8/f2r+uPUClLHRJvi4mIcPHgQgKre8/LyqrTPU1uY2odim151vvvuO3H2uLe3d4XtyItYPkqTsu+rb9tOppEqZqaWJfoLx0+IyscyopvZjMppbt6gzwwx9a1/3PTBeIWFhdi/fz9CQ0PFGZqacnJycPDgQTg6Omrd8MzR0RHh4eGws7Mr81q/fv3g5+eHqVOnIjo6Gr///jv27NnDW/9fEBUVhWXLlgFQrRu0du1anbs0S0FzsLOgoACNGzfGjz/+CEdHR/H53r17Y+fOnXjnnXdw7949HD9+HDdv3kSnTp0qLV81ibF1VX5+vtbXU1JSEBISonMtqPj4eOzbt69W704vtZEjR6Jnz54AVN97QkICDh8+jNDQUMybNw9Lly7FgAEDtJ7bsWNHhIWFlYnt66+/jkGDBuH999/HpEmT8PTpU/z6668YOnQoBg4cWNkfqUbJy8sTHxcUFMDGxgbff/99qeWXOnXqhK1bt8Lf3x8RERG4fv06Tpw4UWZmU1RUFP73v/8BAJYvX87b/o0kZUx0iYiIQEpKCgBg6NChenXozZkUfSi26VXj3Llz+O9//wtA9UPk8uXLDU6D5eMvxvZ9TWnbyTRSXa9IUZboLxw/ISofy4huZrM6vo2NjfhYc4MAXZ4/f17mPNKfUqnEpEmTsGXLFmRkZGDSpEk4dOgQIiMjcfXqVezatQsDBw5ETEwMlixZonXpDGtra60XSGqOjo7YsGGDWKi13aZrzh49egR/f38olUpYWlpi9erVlb5O2YvlZerUqaUuSNXs7Ozw4Ycfiv9XbzZExtdVtra2ZV6LiYnBmDFjcODAAdjY2OCTTz5BWFgYbt26hfPnz2P9+vVo3bo1Ll68iAkTJjAOerK3t4dCoYBCoUCnTp0wYsQIbN68GWvWrMHDhw8REBAgrj//onr16pXbEWndujW+/vpr8f87d+6UPP813YuDwWPGjNG6xn+dOnWwYMEC8f8v/n2XlJRg2bJlKCoqwqhRo9C7d+/KybAZkCom5dFcFoCbNVZMij4U2/TKd/v2bcyePRvFxcWwtbXFunXr0LhxY4PTYflQMaXva0rbTsaT6npFqrJEf+H4CVH5WEZ0M5uBZs2153TdYq5JfYwxm9UQsGHDBnEjhs8//xyLFi1Cu3btYG1tjfr168PDwwOBgYEYOXIkANUFzunTpw1+Hzc3N3FwIC4uDsnJydJ9iBosOTkZkydPRlJSEgBVDIYOHVrp7/tieenfv7/OY/v06SPepqu+xY1Kf4eG1FXaZi8tWLAAT58+ha2tLXbv3o3x48fDxcUFVlZWaNy4Mby9vbF37160bt0ahYWFWLJkCVJTU6X7MGZm9OjRGDp0KEpKSrBy5UpkZmYalU7Pnj3Fi6zLly+LSxKQyotryZZXz7Rv314cGHuxngkKCkJkZCTs7e2xaNEi6TNqRqSKiS7Z2dnisj/NmzcXZx2SaSrqQ7FNr1wxMTGYMmUKcnJyYGVlhfXr16N79+4Gp8PyoVJZfV+p2nYqS6qYSVWWqDSOnxCVj2VEN7MZaLa2toaDgwMA6LX4tvoYQzeqIUAQBPEXfzc3N4wZM0bnsR999JH4ODg42Kj3a9u2rfjYHBZWr0h6ejomT54s7gi/ePFivP3221Xy3i+//HKpW92cnZ11HmtrayuWyfT09ErPW03h5OQkfocV/T1nZmaKt6y/WFdFRUXh1q1bAIC33noL7dq105pGgwYNEBAQAEB1+/vhw4dNyr+58/T0BKDqSJw9e9bodNT1WkFBAS9qX2BtbY0mTZqI/6+onXZxcQFQtp7ZunUrAKBXr144f/48Dh8+XOZfWlqaeLz6OW2boZk7qWKiy9GjR8XbDEePHl2pS0CZm/L6UGzTK8/Dhw8xceJEZGRkoE6dOvjmm2+MXpaB5aPy+75Ste30F6liJmVZotI4fkJUPpYR3cxmjWZA1Zm+fPky4uPjUVRUpHPjuKSkJHFhb80OOOknNTVVHBh5/fXXyz3W2dkZTZo0QVpamrhjvaHMsUOtS3Z2NqZMmYI///wTADBnzhxMnDixyt6/Xr16aN68OR49egRAtTlNedSvcxO6v9SvXx/Ozs548uQJYmJiyj1Ws8y8WFdpnltROdTcKMXYckgqmrdpPnnyxOh0WK+Vr23btuIgcEUzvnXVM+rb144fP47jx49X+J7z5s0DADRs2NDsN9rSRoqY6PLrr7+Kj815WYDKUF5dwza9ciQmJmLixIlITk6GhYUFvvzyS5Nm3pp7+aiKvq9UbTupSBUzqcsSlcXxE6LysYxoZzYzmgGIt9Dk5eWVe1vfpUuXypxD+tO8wKjoogQAioqKAEBnoazI/fv3xcdOTk5GpVEb5ObmYurUqbhz5w4AYNq0afjggw+qPB8eHh7i44cPH+o8Ljs7GxkZGQDMO27aqDfli4uLE28n1Ka8usqQcqi5ppSx5ZBUNONlymZM6nrN2toa9vb2JuerttG3ngGAhIQEANC6tixJp7JiEh8fj6tXrwJQ1XMtW7Y0IZf0oor6UGzTpZWSkoKJEyfi8ePHAIDPPvvMpMFhcy8fVdX3laptJ+liJnVZIu04fkJUPpYR7cxqoHnIkCHi419++UXnceolHOrUqYM333yz0vNV2zg4OKBhw4YAgGvXrokDydpER0cjKysLAODq6mrwez18+BC///47AKBly5Zme3GTn5+PgIAAXL9+HQDg5+dXalmSqqQ5k6C8W8xPnjwJQRAAAD169Kj0fNUkmrMldS0pU1JSIs5iatSoUZk1GVu0aCE+Vq+Xrovm65rnkeGOHTsmPta2GZo+rly5Ig7+dO/eHZaWZtVU68Xb21t8XF49c/HiRfEOG80BM0D1PUdHR5f7T7NcqZ+7cuWKxJ+mdpAiJtpobnLm4+NjQg7pRfr0odimSyc9PR2TJk1CXFwcAGDRokUYN26cSWmac/moyr6vFG07SRezyihLpB3HT4jKxzKinVldvbq7u4sXjb/++qvWi8UDBw7g/PnzAIBRo0aVWnOQ9GNhYSGujZWcnIyNGzdqPS4/Px9ffPGF+P8XC5zmRYs2ycnJmDVrljgb8/333zc16zXS8+fPMWvWLPFXsjFjxmDp0qXVlp/+/fujQ4cOAFSbbalnLGhKSkrCf/7zHwCqGZu+vr5Vmke58/T0RKtWrQAA27Zt07qcRWBgoNjBnjBhQpmZyK+++qq4/tPJkycRERGh9b0SEhKwZcsWAIClpSXXtdPh559/Fpda0GXHjh347bffAKh+OHtxsCUrKwsXLlwoN40HDx6Uuugy13qtIgqFAoMGDQIAHDlyRPzeNeXk5GDVqlXi/8eOHVtl+TNHlRETQRCwf/9+AKo1gIcNGyZhjms3qfpQbNOlkZ2djalTp4pLBcyePRuTJk0yKU1zLh9S9X2laNtJP1LFrDLKEunG8ROi8rGMaGd290gvXboU48aNg1KpxNSpUzFt2jT07t0bxcXFCA0NRVBQEACgWbNmmDt3bjXntuaaOXMmTp8+DaVSiW+//Ra3b9+Gj48P3NzcUFRUhNu3byMoKAixsbEAgHbt2pW53WnmzJlo0aIFhgwZgk6dOsHZ2Rk2NjZIS0vDxYsXsXfv3lKzot57770q/5xy8NFHHyE8PBwA0LVrV/j5+YmdL110zca4cuVKqVtj1bfBAqrbM9WbPKp5e3uX2TXV0tISy5cvx4QJE5Cfn4/x48dj8uTJ4o70N27cwNatW8Xd7T/88MNaNxP97t27uHv3rtbXUlJSynyP/fr1Q7NmzcT/161bF5988gn8/f2hVCrx3nvvISAgAF27doVSqcSBAwfENNq0aaO1g21paYn58+fj448/RnFxMaZPn463334bgwYNgqOjI7Kzs3Hp0iUEBQWJdxWMGTMGr7zyilRfg6yYGpM1a9bg3//+N7y9vdG1a1e4urqifv36yMnJQXR0NA4ePIhr164BAKysrLBy5coy65RmZ2fjH//4BxQKBTw9PeHu7g5HR0fUrVsXSUlJiIiIQHBwsLjB44gRI0r9Sl6bmBoPQLVx0LVr15CZmYl//vOf8PPzw6BBg1CvXj1ERUVh27Zt4o8x48ePL7UWOZUlx5hcvnxZvC168ODBpXb3ru1MjYdUfSi26SqmxOP58+fw9/fH7du3AahmPw0ZMgT37t3T+X5WVlYVtsfmXD6k6vtK0barhYeHIzU1Vfy/5iSBu3fvlvkbMbcfZKSIWWWVJSofx0/kRYr+GkmLZaQsC6G86Q46NG/eHADEzk1NEx4ejvnz5+PZs2daX3dycsLmzZtr1EWpHGNy4cIFzJs3T9wcSJfXX38dmzZtKrObefv27fV6n+HDh2PlypWy6mBXZTz0/Z40RUdHa31+0aJFpTaVqUhoaKjOJU9CQ0OxcOFCZGdna33dwsICM2fOxMyZM/V+P1NUZUw2bNigcya/NkFBQejVq1eZ50NCQrB8+XJxN/kXtWnTBoGBgeUud7Fjxw588803pdZh1uatt97Cl19+CWtra73zbYqqrrNMjUmPHj10/i1rcnZ2xqpVq9C3b98yrz169Ejcub48FhYWGD9+PBYsWFBl8QBqZhm5du0aZs2ahZSUFJ3nvvvuu/j000+NWn/cz89PnH2lq96sLDWtjKhJGZPFixeLF0zbt2/H3/72N73zJ7WaFg+p+1Bya9OBmlNn6Vv3a2revDlOnz5d7jFyKh9Azez7StG2q2m2F8bmR2pyuj6UImaVVZaqipziYajaOH4C1MyYSNVfk6OaGA81lpHSzG5GM6C6DfDgwYMICgrCmTNnkJiYCEtLS7i6umLIkCHw8/NDo0aNqjubNd4bb7yBo0ePIjg4GL/99hv+/PNPPHv2DJaWlmjSpAlee+01DB06FMOGDdN6sbllyxZcv34dN27cwJMnT5CRkQGlUon69evDxcUFXbt2hY+PDzp16lQNn44q4unpicOHD2Pnzp04c+YMnjx5guLiYjg6OqJXr14YP368eDsuaefr64vOnTtj586dOHfuHJKSkmBra4tWrVph2LBhGDduHGxtbctNY+LEiRg0aBD27NmDixcvIiEhATk5ObCxsYGzszM6d+4MX19fvdZKNWd79uzBhQsXcPHiRcTGxiItLQ1ZWVmwsbFB06ZN0aFDBwwaNAhDhw6FnZ2d1jQcHR2xbt063LhxA5GRkXj69CkyMjJQUFCA+vXrw83NDd27d8eYMWPQpk2bKv6ENVPXrl1x+PBh7N69G6dOnUJCQgLy8/PRtGlTdOvWDePGjeNtzlVMqpjk5eXh+PHjAFSd8z59+lR21msVqftQbNPlheVDGlK07UTmgOMnROVjGSnNLGc010aMibwwHvLDmMgL4yE/jIm8MB7ywnjID2MiL4yH/DAm8sJ4yA9jIi+Mh/wYGxOz2gyQiIiIiIiIiIiIiKTHgWYiIiIiIiIiIiIiMgkHmomIiIiIiIiIiIjIJBxoJiIiIiIiIiIiIiKTcKCZiIiIiIiIiIiIiEzCgWYiIiIiIiIiIiIiMgkHmomIiIiIiIiIiIjIJBxoJiIiIiIiIiIiIiKTcKCZiIiIiIiIiIiIiEzCgWYiIiIiIiIiIiIiMgkHmomIiIiIiIiIiIjIJBxoJiIiIiIiIiIiIiKTcKCZiIiIiIiIiIiIiEzCgWYiIiIiIiIiIiIiMgkHmomIiIiIiIiIiIjIJBxoJiIiIiIiIiIiIiKTcKCZiIiIiIiIiIiIiEzCgWYiIiIiIiIiIiIiMgkHmomIiIiIiIiIiIjIJBxoJiIiIiIiIiIiIiKTcKCZiIiIiIiIiIiIiEzCgWYiIiIiIiIiIiIiMomFIAiCoSc1b968MvJCRERERERERERERDLw+PFjg47njGYiIiIiIiIiIiIiMkldU042dFSbKo96ljljIg+Mh/wwJvLCeMgPYyIvjIe8MB7yw5jIC+MhP4yJvDAe8sOYyAvjIT/GrmbBGc1EREREREREREREZBIONBMRERERERERERGRSTjQTEREREREREREREQm4UAzEREREREREREREZmEA81EREREREREREREZBIONBMRERERERERERGRSTjQTEREREREREREREQm4UAzEREREREREREREZmEA81EREREREREREREZBIONBMRERERERERERGRSTjQTEREREREREREREQm4UAzEREREREREREREZmEA81EREREREREREREZBIONBMRERERERERERGRSTjQTEREREREREREREQm4UAzEREREREREREREZmEA81EREREREREREREZBIONBMRERERERERERGRSepWdwaqy9OnT7Fz506EhYUhMTERderUgaurKwYPHgw/Pz80atSourNottauXYvt27eL/w8KCkKvXr2qMUe1S2FhIQ4cOIBjx47h7t27yMzMRJ06ddCsWTN07twZvr6+6Nu3r8HpzpkzB8eOHRP/HxoaCldXVymzXmM8e/YMkZGRuHnzJm7evInIyEikpKQAAHr27ImdO3dWmEZaWlqp8yMjI5GZmQkA8PHxwerVq/XKS2JiopjGzZs3cfv2beTk5AAAZs6ciVmzZhn5KWsWKWKiFhMTg127duHcuXNISkqCra0t3NzcMHz4cIwbNw42NjYVppGeno49e/YgPDwcDx48QE5ODmxsbODq6oqePXti7NixaNu2rdGft7Z59uwZgoODcerUKcTHxyMzMxONGjWCo6MjunXrhkGDBuFvf/ubQWmyzjLMrVu3EB4ejj/++AP3799HWloa6tati6ZNm6Jz584YNWoU+vfvX24aJSUluHr1Ks6ePYurV68iNjYWmZmZsLKygpOTE7p164a3334bXbt2raJPZV7Y9606xtZZjx49gqenp17vYWjbVdtIUSdpkqJtV4uLi0NwcDDCw8Px9OlTKJVKNGnSBM2bN0fPnj0xbNgwKBQKYz52rSd1XEk6bEPkhzGRF8bjL2Y50BweHo758+fj2bNnpZ6/e/cu7t69i71792Lz5s1wd3evphyarzt37uD777+v7mzUWomJifD398e9e/dKPV9YWIiEhAQkJCTg0KFDGDZsGNauXQtra2u90j19+nSpARtzN3r0aDx+/NikNPr06WNyPh4/fow333zT5HRqAyliAgAhISFYvnw5CgoKxOfy8/ORmZmJGzduYO/evQgMDESLFi10pnH+/HnMnTtX/OFAraioCNHR0YiOjsaPP/6IefPmYcqUKSbnuaY7deoUPv30U6SlpZV6PjU1Fampqbhz5w6uXLli0EAz6yzDjB8/HpcvXy7z/Ittx8CBA/HNN9+gYcOGWtPx9PTEkydPtKYTGxuL2NhYBAcHw9fXFytWrNC7DaKKse9bdSqjzqLSpKqT1KRo2wFAEARs2rQJW7ZsQWFhYanXEhMTkZiYiCtXriAnJwdLly414BObB6njStJhGyI/jIm8MB6lmd1Ac1RUFObMmQOlUgk7OztMnToVvXv3RnFxMUJDQ7Fz504kJSUhICAAwcHBcHJyqu4sm43i4mIsW7YMRUVFaNKkSZkOOpmmqKio1CBzu3btMHHiRLRu3RoFBQWIjIzE9u3bkZmZiaNHj8Le3h7Lly+vMN2cnBysWLECABg3LZo2bYqOHTsiLCzM6DRcXFzQunVrREREGHSeIAjiYwsLC7Rs2RKOjo5aO/HmxNiYREREYNmyZSguLoaDgwMCAgLQpUsXKJVKHDhwAL/++itiYmIwffp0/Pzzz6hfv36ZNBISEjBjxgzk5eUBAAYOHAgfHx+4uLggLS0NZ8+exZ49e1BUVIS1a9fC2dkZw4cPl+Rz10QHDx7EwoULUVxcjCZNmmDs2LHo3r07HBwcoFQq8eDBA4SFhRlU77DOMlxSUhIAVdnx9vZGjx490Lx5c1hYWCAyMhJBQUGIi4vDmTNnMGPGDAQFBcHSsuzqbOp0XF1d4eXlhe7du8PJyQmFhYW4evUqduzYgZSUFISEhKCoqAhff/11lX7O2op936ojZZ01d+7ccmc329nZSZn1GkWqOgmQpm1XW7FiBX788UcAQIcOHeDr64vXXnsNDRo0QEZGBu7cuYNTp07pzIu5kzKuJB22IfLDmMgL46GFYAQXFxfBxcXFmFOrnZ+fn6BQKIRXX31VuHTpUpnX9+3bJygUCkGhUAiLFi2qhhwapybHRG37P/Tp8wAAIABJREFU9u2CQqEQhg8fLvz73/8W43DhwoXqzprB5BiPo0ePit/p22+/LRQWFpY5JiEhQejevbugUCiEDh06CKmpqRWm+/nnnwsKhUKYOHGisHDhQvE9EhISKuNjGK0qY/Ldd98Jx44dE548eSI+p/5exo8fr1ca69atE06fPi2kpKQIgqCKjTqNhQsX6pVGenq6sHnzZiEiIkLIzMwUBEEQLly4IKazfv16Az+ZdKq6jJgak8LCQsHLy0tQKBRCly5dhJiYmDLHbNq0SUxzw4YNWtNZsWKFeMxXX32l9ZgTJ06Ix4wcOVLPT2g6udVbMTExQseOHQWFQiH4+fkJ2dnZOo8tKCjQO13WWYbz9/cXDh06pLXdEARByM3NFd59913xu9y3b5/W49555x3hzJkzQklJidbXU1NTxXKmUCiEy5cvS/YZTCWneBiKfd+qIUWdpdnWBwcHV1ZWK0VVxkOqOkmqtl0QBCEkJEQ8bs2aNUJxcbHOYw1ps0whtzJSEaniKlc1LR5qtbUNEQTGRG4YD/kxNiZm9RPgrVu3cPHiRQCqNU49PDzKHDNq1Ci88cYbAID9+/dzplMVSUhIwPr162FhYYEVK1agbl2zm2xf6a5duyY+DggI0Podu7q6wtfXF4BqLc0bN26Um+b169fxww8/wMbGRq/Zz+ZiypQp8Pb2hrOzs9FpzJ49G4MGDULTpk2NTsPBwQEzZsxA3759zWpNKG1MjUloaCji4uIAANOmTUPr1q3LHBMQEIBWrVoBUK0tX1RUVOYYdTm0sLDAzJkztb7XkCFD8OqrrwIA7t27J66pbW6++OILFBQUoFmzZti4cSMaNGig81h9l1hgnWWcwMBAjBgxQmfbXK9ePXGWOACdy5Ls2bMHAwYMgIWFhdbXmzRpgoULF1aYDumPfd+qUxl1FmknVZ0kVduem5sr7p3Rr18/LFiwoNyZtoy/dlLFlaTDNkR+GBN5YTy0M6uB5pMnT4qPx4wZo/O4//u//wOgWsrh9OnTlZ4vApYvX468vDz4+vqiR48e1Z2dWklzrbjy1phzc3PTeo629JYtW4aSkhJMnz691HlEtc2JEyfEx+o24kWWlpYYPXo0ACArKwuXLl0qc4y6TNnb25c7CNGyZcsy55iTBw8e4Ny5cwBUaza+9NJLJqfJOqtytW/fHvb29gCAhw8fGp2O5ua/pqRDKuz7Vo3KqLPINPrUSVK17YcOHRL3Xfjggw9MyjeVT6q2hvTDNkR+GBN5YTy0M6uB5j/++AOAak2zjh076jxO8yJHfQ5Vnn379iEiIgIODg74+OOPqzs7tdYrr7wiPk5ISNB5nGanTfOcF23duhV//vknXnnlFUybNk2aTBLJ1NWrVwEArVq1KnddrYraD3WZyszMLHemsrqM2tvbw8HBwag812RHjx4VH2tuaJmTk4O4uDijZgKwzqp86pl+pqyZqfnDCtfeNB37vlWjMuosMl1FdZJUbfuRI0cAqNrsbt26ic+np6cjPj6+zOZQZBop2hrSD9sQ+WFM5IXx0M6sauf79+8DUM3YLG9pBicnJ3GjB/U5VDnS09PFW80WLlxolgMqVWXEiBHiDMqtW7eiuLi4zDFPnjxBSEgIAMDDwwMKhUJrWg8ePMCWLVsAAJ9//jlvAaRaLTc3F4mJiQCANm3alHus5m232tqPsWPHAvhrZ3ptQkNDcefOHQDA+++/b1Seazr1sj1WVlZo3bo1zp07h3HjxqF79+7w9vZGnz598Le//Q2rVq1Cenp6hemxzqp8d+7cEX88qaiclEdzs1JT0iEV9n2rhtR1FgDs2rULXl5e6NixI7p164ahQ4diyZIluHLlSmV+lFqjojpJqra9pKQEkZGRAFSzbQVBwO7du+Hl5YXevXvDy8sLHh4eGD58OHbs2IHnz5+b9LnMnVRtDemHbYj8MCbywnhoZzYDzc+fP0dGRgYA4OWXX67wePU6nk+fPq3UfJm7L7/8EhkZGejZsyd8fHyqOzu1WuPGjbF27VrY2dnh2rVr8PHxQUhICK5du4bz589j27Zt8PX1xbNnz9CyZUusWrVKazqCIOCTTz7B8+fP4evri549e1bxJyGqWklJSRAEAUDF7Ye9vT3s7OwAaG8/+vbtixkzZgAA/ve//+GDDz7A8ePHcfPmTZw5cwZffPEF5syZAwAYMGCA2c68VXfAGjZsiF27dmHKlCnizDO1lJQUBAUFYfTo0YiOjtaZFuusqvHtt9+Kj4cPH25UGiUlJQgMDBT/P2zYMJPzZc7Y9606UtZZardv30Z8fDyeP3+O3NxcxMbGIjg4GO+//z7mzp1rtuv366uiOkmqtj0xMRG5ubnicbNnz8bnn3+O+Pj4UsfFxMTgq6++wqRJk5CdnW34ByIA0rQ1pB+2IfLDmMgL46Gb2ey4ptkZq1evXoXHq49RdxxIemfPnsXBgwdhZWVVamMHqjyenp4ICQnBjh07sHfvXixevLjU6w0aNMDcuXPx3nvv6dw8bs+ePbhy5Qrs7e251AmZBc12QN/2Iy8vD0qlUuvrc+fORa9evbBt2zaEhoYiNDS01OutWrXC9OnTMWrUKNSpU8e0zNdQWVlZAIDs7GysXr0adnZ2mDNnDoYPHw57e3vExsZi27ZtOHjwIJKSkvDPf/4T+/bt07ruNeusynf48GFxrVN3d3cMGTLEqHS+++47cWagt7c33N3dJcujOWLft+pIWWe99NJLGDx4MHr27Ak3NzfY2dkhNTUVly5dwt69e5GZmYmjR48iKysL27Zt4wbaWuhTJ0nVtqtjDwBnzpxBQUEBXF1dsWDBAvTt2xd16tTB9evX8a9//QuRkZG4cuUKli5divXr1xv78cyWVG0N6YdtiPwwJvLCeOhmNjOaCwoKxMdWVlYVHq++rVbzPJKOUqnEZ599BgDw9/fXusszSa+wsBD79+9HaGioOItDU05ODg4ePIhTp05pPT85ORnffPMNAGDBggVo3LhxpeaXSA6MbT/y8/O1vp6SkoKQkBCd63PFx8dj37594q3Y5igvLw/AX+v1bty4ERMnToSjoyOsra3Rvn17fPPNN+KmGwkJCfjpp5/KpMM6q/JFRUVh2bJlAFTr061duxYWFhYGp3Pu3Dn897//BQA0a9YMy5cvlzKbZol936ojVZ3l6OiI8PBwfPXVV/Dx8UG3bt3w6quvol+/fpg/fz4OHjyI9u3bAwB+//137Nmzp4o+Yc2hb50kVduuOfBcUFCAxo0b48cff4S3tzcaNGgAOzs79O7dGzt37hSXpFPfyUT6k6qtIf2xDZEfxkReGA/dzGag2cbGRnysudGMLur1szTPI+msX78ejx8/RqtWrRAQEFDd2TELSqUSkyZNwpYtW5CRkYFJkybh0KFDiIyMxNWrV7Fr1y4MHDgQMTExWLJkidalM1auXIns7Gx4eHjA19e3Gj4FUdUztv2wtbUt81pMTAzGjBmDAwcOwMbGBp988gnCwsJw69YtnD9/HuvXr0fr1q1x8eJFTJgwQdxgyNxofucDBgxA3759tR43f/58sWOn7btinVW5Hj16BH9/fyiVSlhaWmL16tVGrZl5+/ZtzJ49G8XFxbC1tcW6dev4o4AE2PetOlLVWdbW1uISDdo4Ojpiw4YNYhpBQUGmZLvWMaROkqptf7G8TJ06FY6OjmXOt7Ozw4cffij+31zbd2NI1daQYdiGyA9jIi+Mh25mM9CseWuartuZNamPUS/YTdKJjIwUO8afffYZN2WqIhs2bBA3Wfr888+xaNEitGvXDtbW1qhfvz48PDwQGBiIkSNHAlBdvJw+fVo8/9SpUzhx4oS41AlnEZC50GwHDGk/tN1CtWDBAjx9+hS2trbYvXs3xo8fDxcXF1hZWaFx48bw9vbG3r170bp1axQWFmLJkiVITU2V7sPUEJrfef/+/XUe17hxY3F5haioqFKdPNZZlSs5ORmTJ09GUlISAFW7MnToUIPTiYmJwZQpU5CTkwMrKyusX78e3bt3lzq7Zol936ojRZ2lLzc3N/Tu3RsAEBcXh+TkZIPTqI0MrZOkattfLC/lxb9Pnz7iUifqZYKofFK1NWQ4tiHyw5jIC+Ohm9ks6mVtbQ0HBwdkZGTotfi2+hh9FvUmw2zfvh3FxcVo06YNMjIycPjw4TLH/Pnnn+LjCxcuiAMt/fr1w0svvVRlea0tBEFASEgIANUFivrWTW0++ugjHDp0CAAQHByMN998EwDEDZq6dOmCqKgoREVFlTn30aN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\n",
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\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fb4f4d0db00>"
+       "<Figure size 432x288 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "image/png": {
-       "height": 471,
-       "width": 717
-      }
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -2869,22 +2862,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 196,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": "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\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fb4ead7b940>"
+       "<Figure size 432x288 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "image/png": {
-       "height": 255,
-       "width": 384
-      }
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -2896,22 +2884,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 213,
+   "execution_count": 25,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": "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\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fb4ea765ac8>"
+       "<Figure size 432x288 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "image/png": {
-       "height": 254,
-       "width": 258
-      }
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -2931,28 +2914,23 @@
     "    return convolution\n",
     "\n",
     "\n",
-    "vert_detect = convolution(digit, vertical_edge_kernel)\n",
-    "plt.imshow(vert_detect, cmap=\"gray_r\") ;"
+    "vertical_detect = convolution(digit, vertical_edge_kernel)\n",
+    "plt.imshow(vertical_detect, cmap=\"gray_r\") ;"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 203,
+   "execution_count": 12,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": "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\n",
+      "image/png": "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\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fb4eb78c198>"
+       "<Figure size 432x288 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "image/png": {
-       "height": 255,
-       "width": 384
-      }
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -2964,22 +2942,17 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 215,
+   "execution_count": 13,
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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\n",
+      "image/png": "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\n",
       "text/plain": [
-       "<matplotlib.figure.Figure at 0x7fb4ea4fd6d8>"
+       "<Figure size 432x288 with 1 Axes>"
       ]
      },
-     "metadata": {
-      "image/png": {
-       "height": 254,
-       "width": 258
-      }
-     },
+     "metadata": {},
      "output_type": "display_data"
     }
    ],
@@ -2988,6 +2961,75 @@
     "plt.imshow(horizontal_detect, cmap=\"gray_r\") ;"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "### Maxpooling\n",
+    "Taking maximum in n x n sized sliding windows"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "def maxpool_2x2(matrix):\n",
+    "    out_dim = np.array([matrix.shape[0]/2, matrix.shape[1]/2]).astype(int)\n",
+    "    subsample = np.zeros((out_dim))\n",
+    "    for i in range(out_dim[0]):\n",
+    "        for j in range(out_dim[1]):\n",
+    "            subsample[i,j] = np.max(matrix[i*2:i*2+2, j*2:j*2+2])\n",
+    "    return subsample"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import matplotlib.pyplot as plt\n",
+    "subsampled_image = maxpool_2x2(vertical_detect)\n",
+    "plt.imshow(subsampled_image, cmap=\"gray_r\")\n",
+    "plt.title(\"Max Pooled vertical edge detection filter\") ;"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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1TUNYWBjOnTuHRo0aYfHixWjfvn1dzEZEVmBxT37gwAEUFxdjx44dePfdd81vVUxEvw4WI//222/h4eEBoPT9ux/lI2GJqO5ZjDwvL6/Cp03e69MliKj+shi5o6Mj8vPzzac1Tavx88CIqH6xGHmvXr1w5MgRAEBKSkqFj6ohovrP4i552LBhOHr0KHx8fCAiWLp0aV3MRURWYjHyBg0aIDw8vC5mIaJawBfDECmOkRMpjpETKY6REymOkRMpjpETKY6REymOkRMpjpETKY6REymOkRMpjpETKc7qfxiuaRoKCgqsvexDu3v3rq1HqOLxxx+39Qj1WmZmpq1HqOLGjRu2HsGsqKjogb6ee3IixTFyIsUxciLFMXIixTFyIsUxciLFMXIixTFyIsUxciLFMXIixTFyIsUxciLFMXIixTFyIsUxciLF3VfkqampMBgMtT0LEdUCi28a8dFHHyEhIQEODg51MQ8RWZnFPXm7du0QHR1dF7MQUS2wGLmnpyfs7Kz+LlFEVEf4xBuR4hg5keIYOZHi7ivyp556Cp999lltz0JEtYB7ciLFMXIixTFyIsUxciLFMXIixTFyIsUxciLFMXIixTFyIsUxciLFMXIixTFyIsUxciLFWf0tX0QERqPR2ss+NJ1OZ+sRqtDr9bYeoYKioiJbj1BBdna2rUeoonnz5rYewexB36mJe3IixTFyIsUxciLFMXIixTFyIsUxciLFMXIixTFyIsUxciLFMXIixTFyIsUxciLFMXIixTFyIsXV+DdrJSUlCA4ORkZGBoqLizFr1iwMGTKkrmYjIiuoMfKEhAQ0bdoUK1euxK1btzBmzBhGTvQrU2PkI0aMgKenp/l0fXuzAyKyrMbImzRpAgDIy8vDnDlzMHfu3DoZioisx+ITb5mZmZgyZQq8vb3h5eVVFzMRkRXVuCe/ceMG/Pz8sGDBAri7u9fVTERkRTXuyTds2ICcnBysX78eBoMBBoOh3r3pHxHVrMY9eUhICEJCQupqFiKqBXwxDJHiGDmR4hg5keIYOZHiGDmR4hg5keIYOZHiGDmR4hg5keIYOZHiGDmR4hg5keIYOZHiavwrtIdx69Yt7Nixw9rLPrQTJ07YeoQqtmzZYusRKnj22WdtPUIFCQkJth6hCmdnZ1uPYGZn92DZck9OpDhGTqQ4Rk6kOEZOpDhGTqQ4Rk6kOEZOpDhGTqQ4Rk6kOEZOpDhGTqQ4Rk6kOEZOpDhGTqQ4Rk6kOIt/mGoymRASEoIff/wRer0ey5YtQ7t27epiNiKyAot78oMHDwIAYmJiMGfOHCxbtqzWhyIi67G4Jx86dCgGDRoEALh69SqaN29e2zMRkRXd1/vI2NnZISAgAPv370dUVFRtz0REVnTfT7xFRkZi7969CA0NRUFBQW3ORERWZDHynTt3YuPGjQAABwcH6HQ66PX6Wh+MiKzD4uH68OHDERQUBF9fXxiNRgQHB6Nx48Z1MRsRWYHFyB977DGsWbOmLmYholrAF8MQKY6REymOkRMpjpETKY6REymOkRMpjpETKY6REymOkRMpjpETKY6REymOkRMp7r7eNOJBNGvWDNOmTbP2sg9t6tSpth6hinXr1tl6hAqMRqOtR6jAwcHB1iNUoWmarUd4aNyTEymOkRMpjpETKY6REymOkRMpjpETKY6REymOkRMpjpETKY6REymOkRMpjpETKY6REymOkRMpjpETKe6+Is/OzsbAgQPxww8/1PY8RGRlFiMvKSnBggULYG9vXxfzEJGVWYw8MjISPj4+aNmyZV3MQ0RWVmPk8fHxcHZ2hoeHR13NQ0RWVmPkcXFxSEpKgsFgwPfff4+AgABcv369rmYjIiuo8Y0ct2/fbv5/g8GAsLAwtGjRotaHIiLr4a/QiBR332/JvHXr1tqcg4hqCffkRIpj5ESKY+REimPkRIpj5ESKY+REimPkRIpj5ESKY+REimPkRIpj5ESKY+REimPkRIq7779Cu186nQ52dlZflmrRoUOHbD1CvTd06FBbj/DQuCcnUhwjJ1IcIydSHCMnUhwjJ1IcIydSHCMnUhwjJ1IcIydSHCMnUhwjJ1IcIydSHCMnUhwjJ1Lcff1N6OjRo+Hk5AQAeOqpp7Bs2bJaHYqIrMdi5Hfv3gXATzUl+rWyeLh+9uxZFBYWws/PD1OmTEFKSkpdzEVEVmJxT25vb4/XXnsN48ePx08//YQZM2Zgz549fPcXol8Ji6V26NAB7du3h06nQ4cOHdC0aVNcv34drVu3rov5iOgRWTxcj42NxfLlywEAWVlZyMvLQ4sWLWp9MCKyDot78nHjxiEoKAgTJ06ETqfD0qVLeahO9CtisdZGjRrh/fffr4tZiKgW8MUwRIpj5ESKY+REimPkRIpj5ESKY+REimPkRIpj5ESKY+REimPkRIpj5ESKY+REimPkRIrTiYhYc8EXXngBbdu2teaSRFRORkYGkpOT7/vrrR45EdUvPFwnUhwjJ1IcIydSHCMnUhwjJ1IcIydSXL2LXNM0LFiwABMmTIDBYMClS5dsPRJSU1NhMBhsPQYAoKSkBPPnz8ekSZMwbtw4JCYm2nQek8mEoKAg+Pj4wNfXF5cvX7bpPGWys7MxcOBA/PDDD7YeBUDph4YaDAYYDAYEBQXV6bbr3RuoHzhwAMXFxdixYwdSUlKwfPlyfPjhhzab56OPPkJCQgIcHBxsNkN5CQkJaNq0KVauXIlbt25hzJgxGDJkiM3mOXjwIAAgJiYGycnJWLZsmU2vL6D0jnDBggWwt7e36RxlbP2hofVuT/7tt9/Cw8MDAODm5oYzZ87YdJ527dohOjrapjOUN2LECLz11lvm03q93obTAEOHDkVERAQA4OrVq2jevLlN5wGAyMhI+Pj4oGXLlrYeBYDtPzS03kWel5cHR0dH82m9Xg+j0WizeTw9PevVJ8Y0adIEjo6OyMvLw5w5czB37lxbjwQ7OzsEBAQgIiICnp6eNp0lPj4ezs7O5h1FfVD2oaGbN2/GokWLMG/evDq9Tde7yB0dHZGfn28+rWlavYqsPsjMzMSUKVPg7e0NLy8vW48DoHTvuXfvXoSGhqKgoMBmc8TFxSEpKQkGgwHff/89AgICcP36dZvNA5R+aOioUaOqfGhoXal3kffq1QtHjhwBAKSkpKBz5842nqh+uXHjBvz8/DB//nyMGzfO1uNg586d2LhxIwDAwcEBOp3Opg8htm/fjm3btmHr1q1wdXVFZGSkzT+g09YfGlrvdpHDhg3D0aNH4ePjAxHB0qVLbT1SvbJhwwbk5ORg/fr1WL9+PYDSJwdt9STT8OHDERQUBF9fXxiNRgQHB6Nx48Y2maW+svWHhvKv0IgUV+8O14nIuhg5keIYOZHiGDmR4hg5keIYOZHiGDmR4v4HWIwzdNV+cwIAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "subsampled_image = maxpool_2x2(horizontal_detect)\n",
+    "plt.imshow(subsampled_image, cmap=\"gray_r\") ;\n",
+    "plt.title(\"Max Pooled horizontal edge detection filter\") ;"
+   ]
+  },
   {
    "cell_type": "markdown",
    "metadata": {},
-- 
GitLab