{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Initializer Comparison with Sigmoid Activation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# coding: utf-8\n",
    "import sys, os\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "from collections import OrderedDict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class Affine:\n",
    "    def __init__(self, W, b):\n",
    "        self.W = W\n",
    "        self.b = b\n",
    "        self.x = None\n",
    "        self.dW = None\n",
    "        self.db = None\n",
    "\n",
    "    def forward(self, x):\n",
    "        self.x = x\n",
    "        out = np.dot(self.x, self.W) + self.b\n",
    "        return out\n",
    "\n",
    "    def backward(self, din):\n",
    "        dx = np.dot(din, self.W.T)\n",
    "        self.dW = np.dot(self.x.T, din)\n",
    "        self.db = np.sum(din, axis=0)\n",
    "        return dx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class Sigmoid:\n",
    "    def __init__(self):\n",
    "        self.out = None\n",
    "\n",
    "    def forward(self, x):\n",
    "        out = 1 / (1 + np.exp(-x))\n",
    "        self.out = out\n",
    "        return out\n",
    "\n",
    "    def backward(self, din):\n",
    "        dx = din * self.out * (1.0 - self.out)\n",
    "        return dx\n",
    "    \n",
    "class Relu:\n",
    "    def __init__(self):\n",
    "        self.mask = None\n",
    "\n",
    "    def forward(self, x):\n",
    "        self.mask = (x <= 0)\n",
    "        out = x.copy()\n",
    "        out[self.mask] = 0\n",
    "        return out\n",
    "\n",
    "    def backward(self, din):\n",
    "        din[self.mask] = 0\n",
    "        dx = din\n",
    "        return dx"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Five layers and Activation Values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def activation_value_histogram(layers, num_epoch):\n",
    "    x = np.random.randn(1000, 100) # 1000 x 100\n",
    "    y = np.ones((1000, 100))\n",
    "\n",
    "    num_layers = len(layers)\n",
    "    activations = OrderedDict()\n",
    "    backward_activations = OrderedDict()\n",
    "    \n",
    "    avg_forward_std = []\n",
    "    avg_backward_std = []\n",
    "\n",
    "    for epoch in range(num_epoch):\n",
    "        print(\"Epoch:\", epoch)\n",
    "        # Forward\n",
    "        for i in range(num_layers):\n",
    "            if i != 0:\n",
    "                x = activations[i-1]\n",
    "            activations[i] = layers[i].forward(x)\n",
    "\n",
    "        # Backward    \n",
    "        for i in reversed(range(num_layers)):\n",
    "            if i != num_layers - 1:\n",
    "                y = backward_activations[i+1]\n",
    "            backward_activations[i] = layers[i].backward(y)\n",
    "\n",
    "        # Parameter Update\n",
    "        for i in range(num_layers):\n",
    "            if i % 2 == 0:\n",
    "                layers[i].W = layers[i].W - 0.01 * layers[i].dW\n",
    "                layers[i].b = layers[i].b - 0.01 * layers[i].db\n",
    "\n",
    "        # Histograms of Forward Activation Values\n",
    "        print(\"Forward Activations\")\n",
    "        forward_std_sum = 0.0\n",
    "        f, axarr = plt.subplots(1, num_layers, figsize=(25, 5))\n",
    "        for i, a in activations.items():\n",
    "            values = a.flatten()\n",
    "            std = \"{:5.4f}\".format(np.std(values))\n",
    "            forward_std_sum += float(std)\n",
    "            axarr[i].hist(values, 20)\n",
    "            if i % 2 == 0:\n",
    "                axarr[i].set_title(str(i+1) + \"-Layer ($\\sigma=$\" + std + \")\")\n",
    "            else:\n",
    "                axarr[i].set_title(\"Sigmoid Layer ($\\sigma=$\" + std + \")\")\n",
    "        avg_forward_std.append(forward_std_sum / num_layers)       \n",
    "        f.subplots_adjust(wspace=0.5)\n",
    "        plt.show()\n",
    "\n",
    "        # Histograms of Backward Activation Values    \n",
    "        print(\"Backward Activations\")\n",
    "        backward_std_sum = 0.0\n",
    "        f, axarr = plt.subplots(1, num_layers, figsize=(25, 5))\n",
    "        for i, b in backward_activations.items():\n",
    "            values2 = b.flatten()\n",
    "            std = \"{:5.4f}\".format(np.std(values2))\n",
    "            backward_std_sum += float(std)\n",
    "            axarr[i].hist(values2, 20)\n",
    "            if i % 2 == 0:\n",
    "                axarr[i].set_title(str(i+1) + \"-Layer ($\\sigma=$\" + std + \")\")\n",
    "            else:\n",
    "                axarr[i].set_title(\"Sigmoid Layer ($\\sigma=$\" + std + \")\")\n",
    "        avg_backward_std.append(backward_std_sum / num_layers)        \n",
    "        f.subplots_adjust(wspace=0.5)\n",
    "        plt.show()\n",
    "    return avg_forward_std, avg_backward_std"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Weight and Bias Variation with Sigmoid Activation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "markers = {\"Zero\": \"o\", \"N(0.0, 1.0)\": \"x\", \"N(0.0, 0.0001)\": \"s\", \"Xavier\": \"o\", \"He\": \"x\"}\n",
    "\n",
    "avg_forward_std_dic = OrderedDict()\n",
    "avg_backward_std_dic = OrderedDict()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1) Only Zero Values\n",
    "- Weight Distribution: $W = 0$\n",
    "- Bias Distribution: $B = 0$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 0\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<matplotlib.figure.Figure at 0x118942d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x117c6d6d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 1\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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in6ep/Z+Q1b84aluPp70+xXi9Vh3dnf82UdeePwfutanH49WxOt+6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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117adcf28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x118a7c128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 2\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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in6ep/Z+Q1b84aluPp70+xXi9Vh3dnf82UdeePwfutanH49WxOt+6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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11949aa58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x118c336a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 3\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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in6ep/Z+Q1b84aluPp70+xXi9Vh3dnf82UdeePwfutanH49WxOt+6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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119332b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11296b630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 4\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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in6ep/Z+Q1b84aluPp70+xXi9Vh3dnf82UdeePwfutanH49WxOt+6\nhvWM2XtoSvIvk/zGcPsRmXz8u5Lsz/BFepl8QdfBJEetsP2K42GSU3LoF/N9Phv/AsNZazozyaeS\n7F82f0PbL7CuFV97LOK5WrbOS7PGl+INz9cH5vVczVrTIo6pvT6tduwtW8drca9tZq1prq9tdjw4\ni5iSPCjJlUmuz+RbcY8a5j8kyXuG2w8bnqSPZ/KFAr+23vbbUNMTMvn4wyeSfGyYnjose1OSa4Zl\nl02Hcwu1PDWTb3X93NLPncmg8i+H25Xk94bl1yQ5ba1t5/Q7W6+m1yX58tTzcvV6v8dtquvFw+N+\nPJML6T9+rW1NjtdFHa89Hqvr1TTcf16WvbhY8PP01kw+Evk3mVyD69ydPp728hTj9Xq1dHf+22Bd\nzoF7cOrxeHWszq+u4f7zYszeM1MmTYU3J/lkJh8L/0fD/H82/K4/Nsz/ialtXrf0e8ga42Emlw/4\nXJLrMvmLwe2q6UAmzdOlzL92ve23qa5VX8/M+7lats5LM9U0nq5puH/h9Dlg1udq1poWcUzt9Wm1\nYy9eiy/V4rXNfGqa62ubpY44AAAAAAB06Xt2ugAAAAAAAFiLRjYAAAAAAF3TyAYAAAAAoGsa2QAA\nAAAAdE0jGwAAAACArmlkAwAAAADQNY1sAAAAAAC6ppENAAAAAEDX/n9s2ctu0Sz7tQAAAABJRU5E\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119715668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x119268d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.0, 0.0, 0.0, 0.0, 0.0]\n",
      "[0.0, 0.0, 0.0, 0.0, 0.0]\n"
     ]
    }
   ],
   "source": [
    "node_num = 100 #각 은닉층의 노드 수\n",
    "num_layers = 6 # 3개의 은닉층 + 3개의 활성화층\n",
    "num_epochs = 5\n",
    "\n",
    "layers = OrderedDict()\n",
    "\n",
    "for i in range(num_layers):\n",
    "    if i % 2 == 0:\n",
    "        w = np.zeros((node_num, node_num))\n",
    "        b = np.zeros(node_num)\n",
    "        layers[i] = Affine(w, b)\n",
    "    else:    \n",
    "        layers[i] = Sigmoid()\n",
    "\n",
    "avg_forward_std, avg_backward_std = activation_value_histogram(layers, num_epochs)\n",
    "avg_forward_std_dic['Zero'] = avg_forward_std\n",
    "avg_backward_std_dic['Zero'] = avg_backward_std\n",
    "print(avg_forward_std)\n",
    "print(avg_backward_std)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2) Standard Normal Distribution\n",
    "- Weight Distribution: $W \\sim N(0, 1)$\n",
    "- Bias Distribution: $B \\sim N(0, 1)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 0\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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6jPf9/wBbqqp/TKJZKclq4Myquneyz0Xjp/0//2VV/dVkn8tYsZ6YONYTGoplceJYFmcH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\nlr8IuGiR9G3ACxdJ/x7whuXEKE2TZXUJUlW72s8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gS8BTgFOArwHHjGj/Pw2saNMXAxdP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\nTrDAWpIkSZIkSZLUCf8fvcwC2Q03yc0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1139f7eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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DknvbzwN6dc9JsiHJPUlO7JUfm+T2tu6Dg4mP25fRV7TytUmWTff1SdNh0Uyf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\nGuSE5juBx6vq5cBHgIuHdiWSllRVD1XVHW35h8B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IkiRJkiRJkro2c8OASJIkSZIkSZLG\nj43VkiRJkiRJkqTO2VgtSZIkSZIkSeqcjdWSJEmSJEmSpM7ZWC1JkiRJkiRJ6pyN1ZIkSZIkSZKk\nztlYLUmSJEmSJEnqnI3VkiRJkiRJkqTO/X8MJ9BtMS52NAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11979f9b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 1\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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7DcCJI6Q/BZw73nFIkqSxVdVnkywZlvbJnrd30I1mgp6GLWBTe3B8Shs5dVBV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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117fc8198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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3xu2JdDOQX5zkArofrO8dmIH8ZcDnk7y8/QDuzUC+Ffgs3Qzk19E3A3mS9XQz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\n59YkyWuSfKa1P5xk27T7KUmSJEmaXxa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      "text/plain": [
       "<matplotlib.figure.Figure at 0x119ca9a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 2\n",
      "Forward Activations\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/yhhan/anaconda/lib/python3.6/site-packages/ipykernel/__main__.py:6: RuntimeWarning: overflow encountered in exp\n"
     ]
    },
    {
     "data": {
      "image/png": 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DtSRJkiRJkiRpINhgLUmSJEmSJEkaCDZYS5I0SyT5WJInktzdE/afk3w1yZ1J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\nOhM4F7iiJVnbRC8B2xnAve0xMxKwrQO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XG9MC4nob8O+THAD+H7Cheq3EKF8r\ngJ8D/qKq/qFv8yV7rZJ8lF4n12uT7AZ+j94vuyM5p7R4Q/6//iF6X1Tvaefn9qr6tWHGMOJz8Tzg\nHcBDSR5sZe8BNjNLmztkXYhh2bLNHmhMttfYXi8HHf5eNvK2fr7G4Hzv8ueGZcn2eqAxDbW9XkBc\nMOFt9vSvBJIkSZIkSZIkjdTLRh2AJEmSJEmSJElgh7UkSZIkSZIkqSPssJYkSZIkSZIkdYId1pIk\nSZIkSZKkTrDDWpIkSZIkSZLUCXZYS5IkSZIkSZI6wQ5rSZIkSZIkSVIn2GEtSZIkSZIkSeqE/w82\nGDqGFxdjIQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119025198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x119992ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 3\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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tbsvDw/dIU1W7gCeBw6fkYCQBXmNLkjSefR3DelFVPdyWHwEWtWV/JEuSJEl9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\neu5ClDjqYQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11898add8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x118ef99e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 4\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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+Qxersp/2qara1t6uAw5pyyuBq6rqmaq6H9gIHJ/kIGCvqlrXJmi6Aji5V2Zt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\nCZx3QloSK6wlSZp8jokpSdLK8F7gY0m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JkqTBSHIKcBuwGihga1X9YZKTgE8C64BdwCVV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\nW/7P9MayAjiTwydi+AbzT7r49nEfxxGO79gW+2m8PPD5meO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      "text/plain": [
       "<matplotlib.figure.Figure at 0x119cd80f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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4muoxmZyY/gPDVynurKrHD+fwec6SdfZt6xnDPrbkE2OwE4lrGB9xDeMktmF8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\nAOiaQjYAAAAAAF1TyAYAAAAAoGv/P6NJPeMMlbwVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117a27c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[4.139066666666667, 15.408683333333334, 48.39193333333332, 48.426566666666666, 48.89881666666667]\n",
      "[0.5041666666666667, 0.00935, 5e-05, 0.0, 0.0]\n"
     ]
    }
   ],
   "source": [
    "node_num = 100 #각 은닉층의 노드 수\n",
    "num_layers = 6 # 3개의 은닉층 + 3개의 활성화층\n",
    "num_epochs = 5\n",
    "\n",
    "layers = OrderedDict()\n",
    "\n",
    "for i in range(num_layers):\n",
    "    if i % 2 == 0:\n",
    "        w = np.random.randn(node_num, node_num)\n",
    "        b = np.random.randn(node_num)\n",
    "        layers[i] = Affine(w, b)\n",
    "    else:    \n",
    "        layers[i] = Sigmoid()\n",
    "\n",
    "avg_forward_std, avg_backward_std = activation_value_histogram(layers, num_epochs)\n",
    "avg_forward_std_dic['N(0.0, 1.0)'] = avg_forward_std\n",
    "avg_backward_std_dic['N(0.0, 1.0)'] = avg_backward_std\n",
    "print(avg_forward_std)\n",
    "print(avg_backward_std)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3) Standard Normal Distribution where Standard Deviation is 0.01 \n",
    "- Weight Distribution: $W \\sim N(0, 0.0001)$\n",
    "- Bias Distribution: $B \\sim N(0, 0.0001)$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 0\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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+urdO61FZA1rfhiTbk2zfu3fvIBYpqc+w47qt09iWBqCqPgU82Vf28ap6tr3d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\nrJYkSZIkSZIkdc7BakmSJEmSJElS5/4fx2zP5DC18VsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11975de10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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N2WP12mxx70pSSY7uCbPXpjQEqupzwON9wb8GXFZVz7Q0j7bwlcD1VfVMVT0IbAXOSHIs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\nGrIBMvMa4Joxq+nKrY7GMV8X4uhCDMtSQ7m9GF3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      "text/plain": [
       "<matplotlib.figure.Figure at 0x118fedf60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 1\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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dVfX3w5KWAo/2vN7VYkvb8vD4IWWq6gDwFHDCNOy2JEmSJEksmu0dkCRJ0yPJ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\neeW1JEmSJEmSJKl3ZvbKa0mSJEmSJEma1l25u3p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54v3avF8Afn+Batuq6mSAqroX+Ikk\nzwT+MskHqurBUcdp57UkSZIkSZIkrSxPAL5VVc+ZP6OqPgR8aJiVtDzXtwM/BXxgtCGaNkSSJEmS\nJEmSVpSqehi4J8kvAqTz7GHqJlmVZP82fSDwQuCuccRp57UkSZIkSZIkzbAk7wP+BvixJPclORv4\nJeDsJF8ENgPrhlzdjwM3tnqfAf6wqm5r7/PGJPcBq4AvJblkSXFX1VLqS5IkSZIkSZI0cl55LUmS\nJEmSJEnqHTuvJUmSJEmSJEm9Y+e1JEmSJEmSJKl37LyWJEmSJEmSJPWOndeSJEmSJEmSpN6x81qS\nJEmSJEmS1Dt2XkuSJEmSJEmSesfOa0mSJEmSJElS7/x/AKy74ixhpkMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118d48630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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pWy5pCKzbkiRJkqS5wDQgksZaAByT5Hngh4G/AdbQ5csE2AjcDVwFXAjcWFXP\nAY+2fJdnJ9kOHFtVmwGSXA9cxP78mBqiJas/O+Gy7esuGOCRaMCs2/OY9VqSJEnSfOCT1ZJeUFU7\ngd8B/hrYBTxTVV8ATqqqXa3YE8BJbX4R8HjPJna02KI2Pzb+IklWJdmaZOuePXv6di6S9htG3ZYk\nSZIk6XDZWS3pBS1f7YXA6cApwEuTvK23TFUVUP3aZ1Wtr6qRqhpZuHBhvzYrqceg67Y3oSRJkiRJ\nUzGtNCBJfhX4Rbo/bu8DfoHu1eKbgCXAduDiqnq6lV8DrAT2Ae+qqs+3+DJgA3AMcBvw7vZHs6TB\nej3waFXtAUjyaeCfAU8mObmqdiU5Gdjdyu8ETutZ/9QW29nmx8Znpclenwdfode8MNC6XVXrgfUA\nIyMjtueSJEmSpEMy5c7qnsGazqiq7ybZRDcY0xl0gzWtS7KabrCmq8YM1nQK8MUkr66qfewfrGkL\nXWf1csx/KQ3DXwPnJPlh4LvAecBW4NvAZcC69nlLK38r8EdJPkBXr5cC91TVviTPJjmHrl5fCnxo\noGciqdcRV7e9CSVJkiRJc89004CMDta0gP2DNV1IN0gT7fOiNv/CYE1V9SgwOljTybTBmtrT1Nf3\nrCNpgKpqC3Az8Bd0b0v8AN3TkeuANyR5mO4JzXWt/APAJuBB4HPAle0GFMAVwEfp6vojeANKGhrr\ntiRJkjRzknwsye4k9/fEfjvJ15N8NclnkryixZck+W6Se9v0kZ51liW5L8m2JFcnSYsfneSmFt+S\nZMmgz1EalCk/WV1VO5OMDtb0XeALVfWFJJMN1rS5ZxOjgzI9j4M1SbNGVb0XeO+Y8HN0T2KOV34t\nsHac+FbgrL4foKQpsW5LkiRJM2YD8GG6BzBH3QGsqaq9Sd4PrAGuasseqarXjbOdiTIPrASerqpX\nJVkBvB/4uZk4EWnYppMGpHewpr8F/ni8wZqS9C1XZZJVwCqAxYsX92uz897BXoWejK9JS5IkSZIk\nTayqvjT2aeeq+kLP183AWybbRm/mgfZ9NPPA7XT9b+9rRW8GPpwkjvem+Wg6AywOfCA2B2ySJEmS\nJEnSHPMO4Kae76cnuRd4Bvjfquq/0GUZmCjzwCLgcYD2pPYzwInAN2f6wDW56TwgqvFNJ2f1C4M1\ntRw65wFfoxuU6bJWZuxgTStanp3T2T9Y0y7g2STntO1c2rOOJEmSJEmSNCcl+XVgL/DJFtoFLG5p\nQN5DN7DwQVgjAAAgAElEQVT5sX3c36okW5Ns3bNnT782Kw3MdHJWb0kyOljTXuArdE89vwzYlGQl\n8BhwcSv/QJLRwZr28uLBmjYAx9C93uBgTZIkSZIkSZqzkrwdeBNw3mjKjqp6jm7sGKrqy0keAV7N\n5JkHRrMV7EiyADgO+NZ4+zQrgea66aQBcbAmSZIkSZIkaYwky4FfA/5FVX2nJ74QeKqq9iX5EbrM\nA9+oqqeSPJvkHLoBFi8FPtRWG81i8Od0ua/vMl+15qtpdVZLkiRJkiTp4A6W23b7ugsGdCTqtyQ3\nAOcCr0yyg+7BzjXA0cAdXdZbNlfVLwE/DfxGkueB7wO/VFVPtU1NlHngOuDjSbYBTwErBnBa0lDY\nWS1JkiRJkiRNUVVdMk74ugnKfgr41ATLxs08UFXfA946nWOU5orpDLAoSZIkSZIkSVJf2FktSZIk\nSZIkSRo604BI0kFMllvOvHLS3GS9liRJkqTZxyerJUmSJEmSJElDZ2e1JEmSJEmSJGno7KyWJEmS\nJEmSJA2dndWSJEmSJEmSpKGzs1qSJEmSJEmSNHQLhn0Amr4lqz877EOQJEmSJGmg/FtYkuYfn6yW\nJEmSJEmSJA2dndWSJEmSJEmSpKGzs1qSJEmSpFkgya8meSDJ/UluSPKSJCckuSPJw+3z+J7ya5Js\nS/JQkvN74suS3NeWXZ0kwzkjSZIOj53VkiRJkiQNWZJFwLuAkao6CzgKWAGsBu6sqqXAne07Sc5o\ny88ElgPXJDmqbe5a4HJgaZuWD/BUJEmaMjurJUmSJEmaHRYAxyRZAPww8DfAhcDGtnwjcFGbvxC4\nsaqeq6pHgW3A2UlOBo6tqs1VVcD1PetIkjSr2VktSZIkSdKQVdVO4HeAvwZ2Ac9U1ReAk6pqVyv2\nBHBSm18EPN6ziR0ttqjNj41LkjTr2VktSZIkSdKQtVzUFwKnA6cAL03ytt4y7Unp6uM+VyXZmmTr\nnj17+rVZSZKmbMGwD0CSJEnS4Uvyq8Av0nVc3Qf8Al3agJuAJcB24OKqerqVXwOsBPYB76qqz7f4\nMmADcAxwG/Du1iE2JUtWf3aqq0pHutcDj1bVHoAknwb+GfBkkpOraldL8bG7ld8JnNaz/qkttrPN\nj42/SFWtB9YDjIyM9K0TXJKkqbKzWpKmwT/IpfnHeq25oGcgtjOq6rtJNtENtHYG3UBs65KsphuI\n7aoxA7GdAnwxyaurah/7B2LbQtdZvRy4feAnJemvgXOS/DDwXeA8YCvwbeAyYF37vKWVvxX4oyQf\noKvXS4F7qmpfkmeTnENXry8FPjTQM5EkaYrsrNaUHeyP+e3rLhjQkUiSJB2RRgdie579A7GtAc5t\nyzcCdwNX0TMQG/BoktGB2LbTBmIDSDI6EJud1dKAVdWWJDcDfwHsBb5C99Tzy4BNSVYCjwEXt/IP\ntBtVD7byV7YbUABXsP+NiduxTkuS5gg7qyVJkqQ5pqp2JhkdiO27wBeq6gtJJhuIbXPPJkYHXHue\nQxyILckqYBXA4sWL+3UqknpU1XuB944JP0f3lPV45dcCa8eJbwXO6vsBSpI0wxxgUZIkSZpjhjEQ\nW1Wtr6qRqhpZuHBhvzYrSZIkvcDOakmSJGnueWEgtqp6HjhgIDaAfg/EJkmSJM0004BIkiRJc88R\nNxCb46VIkiTNf3ZWS5IkSXOMA7FJkiRpPrKzWpIkSZqDHIhNkiRJ8405qyVJkiRJkiRJQ+eT1ZIk\nSZLmNfNdS5IkzQ0+WS1JkiRJkiRJGjo7qyVJkiRJkqQpSvKxJLuT3N8TOyHJHUkebp/H9yxbk2Rb\nkoeSnN8TX5bkvrbs6iRp8aOT3NTiW5IsGeT5SYNkZ7UkSZIkSZI0dRuA5WNiq4E7q2opcGf7TpIz\ngBXAmW2da5Ic1da5FrgcWNqm0W2uBJ6uqlcBHwTeP2NnIg2ZndWSJEmSJEnSFFXVl4CnxoQvBDa2\n+Y3ART3xG6vquap6FNgGnJ3kZODYqtpcVQVcP2ad0W3dDJw3+tS1NN/YWS1JkiRJkiT110lVtavN\nPwGc1OYXAY/3lNvRYova/Nj4AetU1V7gGeDEmTlsabgWDPsAJM0+SV4BfBQ4CyjgHcBDwE3AEmA7\ncHFVPd3Kr6F7LWkf8K6q+nyLL6N7HeoY4Dbg3e0OsaQBs15LkiRJw1FVlWQgvzMnWQWsAli8ePEg\ndjnvLVn92WEfwhHFJ6sljef3gM9V1Y8CrwW+Rn/zbUkaPOu1JEmSNDhPttQetM/dLb4TOK2n3Kkt\ntrPNj40fsE6SBcBxwLfG22lVra+qkaoaWbhwYZ9ORRocO6slHSDJccBPA9cBVNXfV9Xf0t98W5IG\nyHotSZIkDdytwGVt/jLglp74iiRHJzmd7gGQe1rKkGeTnNPyUV86Zp3Rbb0FuMu3GzVfmQZE0lin\nA3uAP0zyWuDLwLuZPN/W5p71R/NqPc/E+bYkDZb1WpIkaZabLNXA9nUXDPBIdLiS3ACcC7wyyQ7g\nvcA6YFOSlcBjwMUAVfVAkk3Ag8Be4Mqq2tc2dQX7U+7d3iboHjr5eJJtdAM5rhjAaUlDMa3OavNf\nSvPSAuDHgXdW1ZYkv0dLDTCqn/m2zKclDYT1WpIkSZohVXXJBIvOm6D8WmDtOPGtdH1sY+PfA946\nnWOU5orppgEx/6U0/+wAdlTVlvb9ZrpOrn7m23qB+bSkgbBeS5IkSZJmvSk/Wd2T//Lt0OW/BP4+\nyYV0rz5Al//ybuAqevJfAo+2VxfOTrKdlv+ybXc0/+Xoqw5956s10sSq6okkjyd5TVU9RHcn+ME2\nXUb3KtPYfFt/lOQDwCnsz7e1L8mzSc4BttDl2/rQgE9nVnNEYQ2K9VqSJEmSNBdMJw2I+S+l+eud\nwCeT/BDwDeAX6N7E6Fe+LUmDZ70eAG9CSZIkSdLUTaezeqD5L8EcmNKgVNW9wMg4i/qSb0vS4Fmv\nJUmSJEmz3XRyVg80/yWYA1OSJEmSJEmS5qspd1ZX1RPA40le00Kj+S9vpct7CS/Of7kiydFJTmd/\n/stdwLNJzkkSuvyXo+tIkiRJkiRJko4A00kDAua/lCRJkiRJkiT1wbQ6q81/KUmSJEmSZoIDF0vS\nkWc6OaslSZIkSZIkSeoLO6slSZIkSZIkSUM33ZzVkiRJkiRJkjRnmXZo9vDJakmSJEmSJEnS0NlZ\nLUmSJEmSJEkaOjurJUmSJEmSJElDZ85qSZIkSUe0yfJUbl93wQCPRJIk6cjmk9WSJEmSJM0CSV6R\n5OYkX0/ytST/fZITktyR5OH2eXxP+TVJtiV5KMn5PfFlSe5ry65OkuGckSRJh8fOakmSJEmSZoff\nAz5XVT8KvBb4GrAauLOqlgJ3tu8kOQNYAZwJLAeuSXJU2861wOXA0jYtH+RJSJI0VXZWS5IkSZI0\nZEmOA34auA6gqv6+qv4WuBDY2IptBC5q8xcCN1bVc1X1KLANODvJycCxVbW5qgq4vmcdSZJmNTur\nJUmSJEkavtOBPcAfJvlKko8meSlwUlXtamWeAE5q84uAx3vW39Fii9r82LgkSbOendWSJEnSHGRu\nW2neWQD8OHBtVf0Y8G1ayo9R7Unp6tcOk6xKsjXJ1j179vRrs5IkTZmd1ZIkSdLcZG5baX7ZAeyo\nqi3t+810nddPttQetM/dbflO4LSe9U9tsZ1tfmz8RapqfVWNVNXIwoUL+3YikiRNlZ3VkiRJ0hxj\nbltp/qmqJ4DHk7ymhc4DHgRuBS5rscuAW9r8rcCKJEcnOZ3uZtM9LWXIs0nOaW9KXNqzjiRJs9qC\nYR+AJEmSpMPWm9v2tcCXgXczeW7bzT3rj+awfR5z20qzyTuBTyb5IeAbwC/QPWS2KclK4DHgYoCq\neiDJJroO7b3AlVW1r23nCmADcAxwe5skSZr17KyWJEmS5p7R3LbvrKotSX6PcXLbJulrbltgFcDi\nxYv7tVnNMktWf3bCZdvXXTDAIzkyVdW9wMg4i86boPxaYO048a3AWf09OkmSZp5pQCRJkqS5x9y2\nkiRJmnfsrJYkSZLmGHPbSpIkaT4yDYhmjK8QSpIkzShz20qSJGlesbNakiRJmoPMbStJkqT5xs5q\nSZIkSZIkSZpFjtSMBeasliRJkiRJkvosyWuS3NszPZvkV5K8L8nOnvgbe9ZZk2RbkoeSnN8TX5bk\nvrbs6jbWhDTv2FktSZIkSZIk9VlVPVRVr6uq1wHLgO8An2mLPzi6rKpuA0hyBrACOBNYDlyT5KhW\n/lrgcrpBkpe25dK8Y2e1JEmSJEmSNLPOAx6pqscmKXMhcGNVPVdVjwLbgLOTnAwcW1Wbq6qA64GL\nZv6QpcGzs1qSJEmSJEmaWSuAG3q+vzPJV5N8LMnxLbYIeLynzI4WW9Tmx8ZfJMmqJFuTbN2zZ0//\njl4aEAdYnCMmS6ouSZIkSZKk2SnJDwFvBta00LXA/wFU+/xPwDv6sa+qWg+sBxgZGal+bFMaJJ+s\nliRJkiRJkmbOzwB/UVVPAlTVk1W1r6q+D/wBcHYrtxM4rWe9U1tsZ5sfG5fmHTurJUmSJEmSpJlz\nCT0pQFoO6lE/C9zf5m8FViQ5OsnpdAMp3lNVu4Bnk5yTJMClwC2DOXRpsEwDIkmSJEmSJM2AJC8F\n3gD8257w/5XkdXRpQLaPLquqB5JsAh4E9gJXVtW+ts4VwAbgGOD2Nknzjp3VkiRJkjQDDjbuzPZ1\nFwzoSCRJw1JV3wZOHBP7N5OUXwusHSe+FTir7wcozTKmAZEkSZIkSZIkDZ2d1ZIkSZIkSZKkoTMN\niCRJkiRJkqR562CpuTR72FktSZIkac7zj1BJkqS5z85qzSsOYiPNrMnqmPVLmpus15IkSZJmCzur\nJb1IkqOArcDOqnpTkhOAm4AlwHbg4qp6upVdA6wE9gHvqqrPt/gyYANwDHAb8O6qqsGeiaRR1mtJ\n0kzz5pc0c3wwS9KRwgEWJY3n3cDXer6vBu6sqqXAne07Sc4AVgBnAsuBa1qHGMC1wOXA0jYtH8yh\nS5qA9VqSJEmSNKvZWS3pAElOBS4APtoTvhDY2OY3Ahf1xG+squeq6lFgG3B2kpOBY6tqc3vq8vqe\ndSQNmPVakiRJkjQXTLuzOslRSb6S5E/b9xOS3JHk4fZ5fE/ZNUm2JXkoyfk98WVJ7mvLrk6S6R6X\npCn7XeDXgO/3xE6qql1t/gngpDa/CHi8p9yOFlvU5sfGJQ2H9VqSJEmSNOv148lqXyuW5okkbwJ2\nV9WXJyrTnqjsW47aJKuSbE2ydc+ePf3arKTGei1JkiRJmium1Vnta8XSvPPPgTcn2Q7cCPzLJJ8A\nnmx1lfa5u5XfCZzWs/6pLbazzY+Nv0hVra+qkaoaWbhwYT/PRVLHei1JkiRJmhOm+2S1rxVL80hV\nramqU6tqCd2bEHdV1duAW4HLWrHLgFva/K3AiiRHJzmd7s2Ie9o14Nkk57S0Ppf2rCNpgKzXkiRJ\nkqS5YsFUV+x9rTjJueOVqapK0tfXioFVAIsXL+7XZjWJJas/O+xD0OywDtiUZCXwGHAxQFU9kGQT\n8CCwF7iyqva1da4ANgDHALe3SdLsYb2WJEmSJM0qU+6sZv9rxW8EXgIc2/tacVXtmonXioH1ACMj\nI33rBO81nc7Z7esu6OORSMNVVXcDd7f5bwHnTVBuLbB2nPhW4KyZO0JJh8t6LUmSJEmazaacBsTX\niiVJkiRJkiRJ/TKdJ6sn4mvFkiRJkiRJkqTD0pfOal8rljQIk6XpMQ2PNDdZryVJkiRJo6acBkSS\nJEmSJEmSpH6ZiTQgR6zpDM4oSZIkSZIkSUcyO6slSZIkaYp8YEX9luQoYCuws6relOQE4CZgCbAd\nuLiqnm5l1wArgX3Au6rq8y2+jP3jQt0GvLuqarBnIknS4bOzWpIkSZImYGe0huDdwNeAY9v31cCd\nVbUuyer2/aokZwArgDOBU4AvJnl1Ve0DrgUuB7bQdVYvB24f7GlIknT4zFktSZIkzVFJjkrylSR/\n2r6fkOSOJA+3z+N7yq5Jsi3JQ0nO74kvS3JfW3Z1kgzjXCRBklOBC4CP9oQvBDa2+Y3ART3xG6vq\nuap6FNgGnJ3kZODYqtrcnqa+vmcdSZJmNTurJUmSpLlr9AnMUaNPYC4F7mzfGfME5nLgmpZqAPY/\ngbm0TcsHc+iSxvG7wK8B3++JnVRVu9r8E8BJbX4R8HhPuR0ttqjNj41LkjTr2VktSZIkzUE+gSnN\nL0neBOyuqi9PVKbV077lnk6yKsnWJFv37NnTr81KkjRldlZLkiRJc5NPYErzyz8H3pxkO3Aj8C+T\nfAJ4st1Yon3ubuV3Aqf1rH9qi+1s82PjL1JV66tqpKpGFi5c2M9zkSRpShxgUdIRwcGRJEnzSe8T\nmEnOHa9MVVWSvj6BCawCWLx4cb82qxlwsN97tq+7YEBHosNRVWuANQCtXv+vVfW2JL8NXAasa5+3\ntFVuBf4oyQfoBlhcCtxTVfuSPJvkHLoBFi8FPjTQk5EkaYrsrJYkSXOSN6F0hBt9AvONwEuAY3uf\nwKyqXTPxBCawHmBkZKRvneCSDmodsCnJSuAx4GKAqnogySbgQWAvcGVV7WvrXAFsAI4Bbm+TJEmz\nnp3Vs4R/cEuSJOlQ+QSmNL9V1d3A3W3+W8B5E5RbC6wdJ74VOGvmjlCSpJlhzmpJkiRp/lgHvCHJ\nw8Dr23eq6gFg9AnMz/HiJzA/Sjfo4iP4BKYkSX2TZHuS+5Lcm2Rri52Q5I4kD7fP43vKr0myLclD\nSc7viS9r29mW5OokGcb5SDPNJ6slSZKkOcwnMCVJmvX+h6r6Zs/31cCdVbUuyer2/aokZwArgDPp\n3oT6YpJXtxvM1wKX070JdRuwHG8wz2lmWRifT1ZLkiRJkiRJg3MhsLHNbwQu6onfWFXPVdWjdG89\nnd3GoTi2qjZXVQHX96wjzSs+WS1JkiRJkobCJwt1BCi6J6T3Ab/fBiw+qap2teVPACe1+UXA5p51\nd7TY821+bPxFkqwCVgEsXry4X+cwJ3g9mR/srJYkSZIkSZJmxk9W1c4k/wC4I8nXexdWVSWpfu2s\ndYavBxgZGenbdg/HZJ3G29ddMMAj0VxkZ7UkaSD8hUWaf6zXkiRJk6uqne1zd5LPAGcDTyY5uap2\ntRQfu1vxncBpPauf2mI72/zYuDTvmLNakiRJkiRJ6rMkL03y8tF54H+E/7+9u4+2pa7vO/7+BITg\nU9SCiDx4TUJs0DY+3EWp2pQU2xDIEm2XFlcSsCWhVnxqzQoXXW1tLCuXJtHGrGgWUUQT1BKCShFU\nsLFp1irqlfKM6FWuhZvLQx4MutKi4Ld/zBzZXs7DPmfP3jNnzvu11qwzZ2bP7O+ePd89v99v//Zv\nuAW4AjizfdiZwMfb+SuA05McnOSZwLHA59shQx5IckKSAGdMbCONij2rJUmSJEmSpO4dDny0aV/m\nQOBDVfXJJF8ALk1yFvB14JUAVXVrkkuB24CHgHOq6uF2X68FLgYOAa5uJ2l0bKxWLxz0XpIkSZIk\njVlVfQ34iWWW/wVw0grbnA+cv8zyXcBzuo5RGhqHAZEkSZIkSZIk9c7GakmSJEmSJElS7xwGRJLU\nCYf3kSRJkiRJs7CxWpIkScvySyhJkiRJi+QwIJIkSZIkSZKk3tlYLUmSJEmSJEnqncOAaEtZ7efM\ne3aeusBI1DV/qi6Nj3ktSZIkSVuLPaslSZIkSZIkSb2zsVqSJEmSJEmS1DuHAZEkSZIkSZIk9T6E\nrj2rJUmSJEmSJEm9s2e1JEmSJG0y3oRWkiSNkT2rJUmSJEmSJEm9s7FakiRJkiRJktQ7G6slSZIk\nSZIkSb2zsVqSJEmSJEmS1DsbqyVJkiRJkiRJvbOxWtL3SXJ0kj9OcluSW5O8sV3+lCTXJPlK+/fJ\nE9ucl2R3kjuS/PTE8hckubld964k6eM1SVudeS1JkiRJ2gw23FhtxVcarYeAN1fVccAJwDlJjgN2\nAJ+pqmOBz7T/0647HXg2cDLw7iQHtPt6D/BLwLHtdPIiX4ik7zGvJUmSJEmDd+AM2y5VfK9P8gTg\ni0muAV5NU/HdmWQHTcX33P0qvk8Hrk3yY1X1MI9UfD8HXEVT8b16htgkbVBV7QP2tfPfTHI7cCRw\nGnBi+7APAJ8Fzm2Xf6SqHgTuTLIbOD7JHuCJVXUdQJIPAi/D3JYWzryWpGHatuMTK67bs/PUBUYi\nSZI0DBvuWV1V+6rq+nb+m8BkxfcD7cM+QFOJhYmKb1XdCSxVfI+grfhWVQEfnNhGUo+SbAOeR/NF\n0uFtgxfAPcDh7fyRwF0Tm93dLjuynd9/+f7PcXaSXUl23X///Z3GL+nRFpHXkiRJkiRtxCw9q79n\nHRXf6yY2W6rgfoc5VHxX66UgaW1JHg/8EfCmqnpgcnSeqqok1cXzVNWFwIUA27dv72Sfkpa3qLxO\ncjZwNsAxxxzTxS4lSZIkSVvAzDdY3L/iO7mu7SndWeOTPTClxUjyGJq8vqSqLm8X39v+EoL2733t\n8r3A0RObH9Uu29vO779cUg8WmddVdWFVba+q7Ycddli3L0SSJEmSNFoz9axereJbVfu6btCyB6bA\nXvPz1t7g9H3A7VX1jolVVwBnAjvbvx+fWP6hJO+gGY/+WODzVfVwkgeSnEDzq4szgN9e0MuQNMG8\nliRp+JIcTTMs5uE0nb4urKrfSvIU4L8C24A9wCur6q/abc4DzgIeBt5QVZ9ql78AuBg4hOa+UG9s\nO5NJkjRoG26stuIrjdaLgF8Abk5yQ7vsLTQ5fWmSs4CvA68EqKpbk1wK3EZz49Vz2hunAryWRwrJ\nV+NN2KS+mNeSJA3fQ8Cbq+r6JE8AvpjkGuDVwGeqameSHcAO4NwkxwGnA8+mqWNfm+TH2mv2e4Bf\noqljXwWcjNdsSZucnRcfMcuxGPpNnGfpWW3FVxqhqvpTICusPmmFbc4Hzl9m+S7gOd1FJ2kjzGtp\nfOyBKY1Pe++nfe38N5PcTnM/p9OAE9uHfQD4LHBuu/wjVfUgcGeS3cDxSfYAT6yq6wCSfBB4Gdaz\nJUmbwIYbq634SpIkSb2xB+bI2Xtsa0uyDXgeTV4e3jZkA9xD8yUVNA3Z101sdne77Dvt/P7LJUka\nvJnGrJYkSZK0ePbAlMYryeNp7g31pqp6oBmBs1FVlaSzXz4kORs4G+CYY47parfqwWpfcA39J/+S\nNMnGakmSJGkTW1QPTBu1NE82tDWSPIamofqSqrq8XXxvkiOqal+SI4D72uV7gaMnNj+qXba3nd9/\n+aNU1YXAhQDbt293+B+pY6sM2/U2ml813d8+9C1VdVW7jcN2aUv7gb4DkCRJkrQx+/fAnFzXVmA7\nq8RW1YVVtb2qth922GFd7VZSK00X6vcBt1fVOyZWXQGc2c6fCXx8YvnpSQ5O8kzgWODz7RdWDyQ5\nod3nGRPbSFqspWG7jgNOAM5ph+YCeGdVPbedlhqqJ4ftOhl4d5ID2scvDdt1bDudvMDXIS2MjdWS\nJEnSJrRaD8x2fac9MCXN3YuAXwD+UZIb2ukUYCfwj5N8BXhJ+z9VdStwKXAb8EngnHYceoDXAu8F\ndgNfxaF9pF5U1b6qur6d/yawNGzXSr43bFdV3UmTw8e31/QnVtV17ZfRS8N2SaPjMCCSJEnSJjNF\nD8ydPLoH5oeSvIPmBotLPTAfTvJAkhNohhE5A/jtBb0MSROq6k+BrLD6pBW2OR84f5nlu4DndBfd\nxnmzUKmx37BdLwJen+QMYBdN7+u/whunSvasliRJkjYhe2BKkrRJLDNs13uAHwaeS3PD5N/s8LnO\nTrIrya77779/7Q2kgbFntSRJkrTJjLUHpiRJY7PcsF1Vde/E+t8Drmz/9cap2vLsWS1JkiRJkiR1\nbKVhu5buL9F6OXBLO++NU7Xl2bNakiRJkiRJ6t7SsF03J7mhXfYW4FVJngsUsAf4V9AM25Vkadiu\nh3j0sF0XA4fQDNnlsF0aJRurJUmSJEmSpI6tMmzXVats47Bd2tIcBkSSJEmSJEmS1DsbqyVJkiRJ\nkiRJvXMYEEnS92zb8Ym+Q5DUMfNakiRJm4Vl1/mb5Rivte2enadueN9L7FktSZIkSZIkSeqdjdWS\nJEmSJEmSpN7ZWC1JkiRJkiRJ6p2N1ZIkSZIkSZKk3nmDRam1iEHiJUmSJEmSJC3PxmpJUu9muRvx\nal8k+SWU1J955fVa+zavJUmSpM3LxmpJkiRJkiQ9ip0/JC2aY1ZLkiRJkiRJknpnz2pJkiRJ2kJm\nGaZHkiRpnmysliRJkiTNlQ3kkiRpGg4DIkmSJEmSJEnqnY3VkiRJkiRJkqTe2VgtSZIkSZIkSeqd\njdWSJEmSJEmSpN55g0VJkiRJkiRpC1nrxrd7dp664W2lWdizWpIkSZIkSZLUOxurJUmSJEmSJEm9\ns7FakiRJkiRJktQ7x6yWJEmSJEkaqVnGJpakRbOxWpIkSZIkbZg3W9vcfP8kDYmN1ZIkSZIkSVq3\n1Rq67bEtaSMcs1qSJEmSJEmS1DsbqyVJkiRJkiRJvbOxWpIkSZIkSZLUOxurJUmSJEmSJEm9G0xj\ndZKTk9yRZHeSHX3HI6kb5rY0Pua1ND7mtTQ+5rU0Pua1toJBNFYnOQD4HeBngOOAVyU5rt+oJM3K\n3JbGx7yWxse8lsbHvJbGx7zWVjGIxmrgeGB3VX2tqr4NfAQ4reeYJM3O3JbGx7yWxse8lsbHvJbG\nx7zWlnBg3wG0jgTumvj/buDv9RSLpO6Y29L4mNfS+JjX0vh0mtfbdnxi5oC09ax23uzZeeoCIxmN\nUVyv/TzRWobSWD2VJGcDZ7f/fivJHRvc1aHAn3cT1UyGEIcxTBlDLlh1+2d0GcxW0mFeLxnC+QTD\niGMIMcCc41gjN1eNw7yejznk9VqGcq5PY7PE2mucc8xrMLc3rOPcHmIuDC2mwcWTC/qJZ4W8njw+\n5j0+ekMAAA2WSURBVPUG9XDN3oih5cL+hhzfYGNr83q1+MzrDeoqr9dRHpvFYM/RdfJ1tLqoYw+l\nsXovcPTE/0e1y75PVV0IXDjrkyXZVVXbZ93PGOIwhuHEMFJr5nZXeb1kKO/lEOIYQgzGMUoLz+u1\nbKb3drPEapxbzkLL4jDM925oMRnP6oYWzwAtPK/nZejv9ZDjG3JsMPz4Bmg0eb1kLOeAr6NbQxmz\n+gvAsUmemeQg4HTgip5jkjQ7c1saH/NaGh/zWhof81oaH/NaW8IgelZX1UNJXgd8CjgAuKiqbu05\nLEkzMrel8TGvpfExr6XxMa+l8TGvtVUMorEaoKquAq5a0NMN5ecQQ4jDGBpDiGGUFpzbMJz3cghx\nDCEGMI7R6SGv17KZ3tvNEqtxbjFb+Ho9aWgxGc/qhhbP4Azwer1RQ3+vhxzfkGOD4cc3OCPK6yVj\nOQd8HR1KVfUdgyRJkiRJkiRpixvKmNWSJEmSJEmSpC1sSzRWJ3lFkluTfDfJine1THJykjuS7E6y\nYw5xPCXJNUm+0v598gqP25Pk5iQ3JNnV0XOv+trSeFe7/qYkz+/iedcZw4lJ/rp93Tck+fdziOGi\nJPcluWWF9XM/DurWOvLq37SfA7ck+XCSH+whhicluSzJl5LcnuTvdxXDeuJoH3tAkv+d5MouY5g2\njiRHJ/njJLe178sbO3z+3j/vtHhJ3t6+nzck+XSSp/cd03KS/Hr7GXBTko8meVLfMa1k2vJTX+Zd\nbtPsZi2Dr+e6NmU801yfnjVRFr0hyQNJ3tSue1uSvRPrTpklnmljah+3bP2gp2O04jW8i2M0y3Xc\nz4XxSPLmJJXk0GXWza0c2UV87fpezsVpy0OZY92oo/jmWm/SsAy9zLmasVx3skZb2cJV1egn4MeB\nZwGfBbav8JgDgK8CPwwcBNwIHNdxHP8Z2NHO7wAuWOFxe4BDO3zeNV8bcApwNRDgBOBzHb/2aWI4\nEbhyzufCTwLPB25ZYf1cj4PTXN7TNfMKOBK4Ezik/f9S4NWLjKFd9wHgF9v5g4AnLfpYTDz23wIf\nmkfOTfmeHAE8v51/AvDlLj5zh/B559TPBDxxYv4NwO/2HdMKcf4T4MB2/oLV8rTviSnKTz3GNvdy\nm1Mn79NMZfD1XNemjGdd+2tjuwd4Rvv/24Bf7vgYzVQ/6OMYrXYNn/UYzXId93NhPBNwNM0N5L6+\nwnk/l3Jkh/H1di4yRXmIOdeNZo2vXTfXepPTsCYGXOZcI+7RXHdYo61s0dOW6FldVbdX1R1rPOx4\nYHdVfa2qvg18BDit41BOo/nQpf37so73v5JpXttpwAercR3wpCRHLDiGuauqPwH+cpWHzPs4qHvT\n5tWBwCFJDgQeC/zZImNI8kM0F4D3AVTVt6vqGx3GMFUcbSxHAacC7+34+aeOo6r2VdX17fw3gdtp\nCs6zGsLnnXpQVQ9M/Ps4YJA35aiqT1fVQ+2/1wFH9RnPaqYsP/VlEOUKra6DMnjXZef17u8k4KtV\n9fUZn7fLmLreft37m+M1HGa7jvu5MB7vBH6FFa7lcz4Hp7FqfPR4Lq6jPDTPutGKpolvQfUmDcjA\ny5yrGc11Z4q2soXaEo3VUzoSuGvi/7vp/oJ3eFXta+fvAQ5f4XEFXJvki0nO7uB5p3lt83790+7/\nhe3Pgq5O8uwOn39aizgP1K0186qq9gK/AfwfYB/w11X16UXGADwTuB94f5rhN96b5HEdxjBtHAD/\nhaaA/d2On3+9cQCQZBvwPOBzHTz3ED7v1JMk5ye5C/g5oPOhpObgX9L0DtT6mcfjsdp7ua7ryRTW\nu7/TgQ/vt+z1bVn1olmH3FhnTCvVD3o9Ritcw2c5RrNcx/1cGIEkpwF7q+rGKR+/je7KkdM83zTx\n9XourlUeWkDdaKb4WEy9SeqC1505ObDvALqS5FrgacusemtVfXwIcUz+U1WVZKVvOV9cVXuTPBW4\nJsmX2m85xu564Jiq+lY7vt3HgGN7jkkDMGtetRWl02gKPt8A/jDJz1fVHywqBprP2+cDr6+qzyX5\nLZqf1/67aWPoIo4kPwvcV1VfTHLiep67yzgm9vN44I+AN+3X00J6lLWu9VX1VuCtSc4DXgf8h4UG\n2JqmTJLkrcBDwCWLjG1/Qyk/afNa1Dm01vVkmnjWs78kBwEvBc6bWPwe4O00DcdvB36T5kunRcS0\nZv2gh2O03DV8Q8dIW8sa5+BbaIbMmmY/cylHdhXfvMxaHuqibjTP+Oio3qRhscyp9RhNY3VVvWTG\nXeylGXtqyVHtss7iSHJvkiOqal/7U7X7VtjH3vbvfUk+SvPTglkaq6d5bZ28/llimCxgVNVVSd6d\n5NCq+vMO41jLvI+DNqCDvHoJcGdV3d9ucznwQmD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      "text/plain": [
       "<matplotlib.figure.Figure at 0x118e8ad30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 2\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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HG+LnOuD8njzb2vJNwOqhb4olSdLUJfmldlfXPUmuT/KCJCckuT3Jg+3nS3rS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\nHyFudh+nn/91AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113aea3c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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kSZIkSdJMdzQxqzcBy8ekrQXur6pzgfvbe5KcR/cowvmtzE1JjmtlbgaupovF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\nyRktxzTnEuCutoPosxHz98XAhubvIuD9HYwR4C+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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1180c8ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 3\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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U32HpR6qj1sM58sL2ekG31+Oln8C2Jr2+H+eJtA1pFiRZBnwB+K7qBsvv57b/b+Cxqho+\nZtGClGQnsKGq7prtsmj6tL/zf6uq35/tsvSL54mZ43lCY7Euzhzr4sJgm33Y2/Y80cPzhEZjPZw5\n1sOFwfb6sLfteaJHP84TdlzPknRj/LyX7huun5/t8khzUZJ/AdxH903qG+geYfvu6mYLnvM8T0iD\nwbooTZ1ttqTpZj2Ups72WoNmrLGbNU2SvIhu1tUHgTWzXBxpLnsF3SNPLwK+BJw/jxpUzxPSALAu\nSn1jmy1p2lgPpb6xvdZA8Y5rSZIkSZIkSdJA+Y7ZLoAkSZIkSZIkSb3suJYkSZIkSZIkDZQ5O8b1\nS17yklq+fPlsF0MC4NOf/vRXqmrxbJdjrrNea5BYr/vDeq1BY93uD+u2Bon1uj+s1xok1uv+sF5r\nkEymXs/Zjuvly5eza9eu2S6GBECSB2e7DPOB9VqDxHrdH9ZrDRrrdn9YtzVIrNf9Yb3WILFe94f1\nWoNkMvXaoUIkSZIkSZIkSQPFjmtJkiRJkiRJ0kCx41qSJEmSJEmSNFDsuJYkSZIkSZIkDRQ7riVJ\nkiRJkiRJA8WOa0mSJEmSJEnSQLHjWpIkSZIkSZI0UMbtuE7ygSSPJbmrJ/ZbSb6Q5PNJ/jjJsT3r\nLk2yO8l9Sc7piZ+R5M627vIkafEjk1zf4juTLO/vIUqStDCM1Ga3+Jtbu313kv+nJ26bLQ24UT6L\nH5/k1iT3t5/H9ayzXkuSJGlemMgd11uBNcNitwIrq+r7gL8BLgVIciqwDjit5bkiyREtz5XARcCK\n9hra5gbgiap6GXAZ8O7JHowkSQvcVoa12Ul+DFgLvLKqTgPe0+K22dLcsJXnfhbfBNxWVSuA29p7\n67UkSZLmlXE7rqvqk8BXh8U+XlUH2tsdwElteS1wXVU9U1UPALuBM5OcCBxdVTuqqoBrgPN68mxr\nyzcAq4fuAJEkSRM3UpsN/AdgS1U909I81uK22dIcMEq97q2L2zi0jlqvJUmSNC/0Y4zrnwduactL\ngYd61u1tsaVteXj8kDytM/xJ4IQ+lEuSJMHLgR9pQwD8ZZIfaHHbbGnuWlJVD7flR4Albdl6LUmS\npHlj0VQyJ/lPwAHgQ/0pzrj72whsBFi2bNlM7HLBW77po6Ou27Pl3BksieT/ow7fWP8zsGD+bxYB\nxwNnAT8AbE/y3dO5Q9vr/vN/WaOpqkpSM7Ev6/bhs+5K49eDsVhHpMFk+6aZMuk7rpP8LPBa4A3t\nkUOAfcDJPclOarF9PDucSG/8kDxJFgHHAI+PtM+quqqqVlXVqsWLF0+26JIkLSR7gY9U5w7gW8BL\nmMY22/ZamnaPtuE/aD+HhgDys7gkSZLmjUl1XCdZA/wq8JNV9fc9q24C1rXZyU+hm/jljvYo41NJ\nzmpj5l0I3NiTZ31bPh+4vacjXJIkTc2fAD8GkOTlwPOBr2CbLc1lvXVxPYfWUeu1JEmS5oVxhwpJ\nci1wNvCSJHuBdwKXAkcCt7a5W3ZU1b+vqruTbAfuoRtC5JKqOtg2dTHdrOhH0Y2JPTQu9tXAB5Ps\nppt4Zl1/Dk2SpIVllDb7A8AHktwF/COwvnVK2WZLc8Ao9XoL3bA/G4AHgdcB+FlckiRJ88m4HddV\n9foRwlePkX4zsHmE+C5g5Qjxp4ELxiuHpP5J8gLgk3RfQC0CbqiqdyY5HrgeWA7sAV5XVU+0PJcC\nG4CDwFuq6s9a/AyevRC+GXhrG2/zSOAa4Ay6R45/pqr2zNAhSgvSKG02wBtHSW+bLQ24Mer16lHS\nW68lSZphXmNL02PSY1xLmtOeAf5lVb0SOB1Yk+QsYBNwW1WtAG5r70lyKt0dWKcBa4ArkhzRtnUl\ncBHd48gr2nroGuAnquplwGXAu2fiwCRJkiRJmmFeY0vTwI5raQFqk7T9XXv7vPYqYC2wrcW3Aee1\n5bXAdVX1TFU9AOwGzmwTQh1dVTva0APXDMsztK0bgNVtXE1JkiRJkuYNr7Gl6WHHtbRAJTkiyeeA\nx4Bbq2onsKRN4ATwCLCkLS8FHurJvrfFlrbl4fFD8lTVAeBJ4IRpOBRJkiRJkmaV19hS/9lxLS1Q\nVXWwqk4HTqL7ZnflsPVF9w3xtEqyMcmuJLv2798/3buTJEmSJKnvvMaW+s+Oa2mBq6qvAX9BN27W\no+3RJNrPx1qyfcDJPdlOarF9bXl4/JA8SRYBx9BNIDF8/1dV1aqqWrV48eJ+HZYkSZIkSTPOa2yp\nf+y4lhagJIuTHNuWjwJeA3wBuAlY35KtB25syzcB65IcmeQUugki7miPPD2V5Kw2ttaFw/IMbet8\n4Pb2DbMkSZIkSfOG19jS9Fg02wWQNCtOBLa1WYu/A9heVX+a5FPA9iQbgAeB1wFU1d1JtgP3AAeA\nS6rqYNvWxcBW4CjglvYCuBr4YJLdwFfpZkyWJEmSJGm+8RpbmgZ2XEsLUFV9HnjVCPHHgdWj5NkM\nbB4hvgtYOUL8aeCCKRdWkiRJkqQB5jW2ND0cKkSSJEmSJEmSNFDsuJYkSZIkSZIkDRQ7riVJkiRJ\nkiRJA8WOa0mSJEmSJEnSQLHjWpIkSZIkSZI0UOy4liRJkiRJkiQNFDuuJUmSJEmSJEkDxY5rSZIk\nSZJmSJKTk/xFknuS3J3krS1+fJJbk9zffh7Xk+fSJLuT3JfknJ74GUnubOsuT5IWPzLJ9S2+M8ny\nmT5OSZKmyo5rSZIkSZJmzgHgbVV1KnAWcEmSU4FNwG1VtQK4rb2nrVsHnAasAa5IckTb1pXARcCK\n9lrT4huAJ6rqZcBlwLtn4sAkSeqnRbNdAM2u5Zs+OttFkCRJkqQFo6oeBh5uy19Pci+wFFgLnN2S\nbQM+Aby9xa+rqmeAB5LsBs5Msgc4uqp2ACS5BjgPuKXleVfb1g3A7yZJVdV0H58kSf3iHdeSJEmS\nJM2CNoTHq4CdwJLWqQ3wCLCkLS8FHurJtrfFlrbl4fFD8lTVAeBJ4IQR9r8xya4ku/bv39+HI5Ik\nqX/suJYkSZIkaYYleTHwR8AvVtVTvevandHTfnd0VV1VVauqatXixYune3eSJB0WO64lSZIkSZpB\nSZ5H12n9oar6SAs/muTEtv5E4LEW3wec3JP9pBbb15aHxw/Jk2QRcAzweP+PRJKk6eMY15IkSZIk\nYOw5cPZsOXcGSzJ/JQlwNXBvVb23Z9VNwHpgS/t5Y0/8D5O8F3gp3SSMd1TVwSRPJTmLbqiRC4H3\nDdvWp4Dzgdsd31qSNNfYcS1JkiRJ0sz5IeBNwJ1JPtdi76DrsN6eZAPwIPA6gKq6O8l24B7gAHBJ\nVR1s+S4GtgJH0U3KeEuLXw18sE3k+FVg3XQflCRJ/WbHtSRJ80SSDwCvBR6rqpXD1r0NeA+wuKq+\n0mKXAhuAg8BbqurPWvwMnr0Ivhl4a1VVkiOBa4Az6B43/pmq2jMDhyZJ0rxRVX8FZJTVq0fJsxnY\nPEJ8F7ByhPjTwAVTKKYkSbPOMa4lSZo/tgJrhgeTnAz8K+DLPbFT6e6+Oq3luSLJEW31lcBFdI8i\nr+jZ5gbgiap6GXAZ8O5pOQpJkiRJ0oJnx7UkSfNEVX2S7nHg4S4DfhXoHdtyLXBdVT1TVQ8Au4Ez\n22RQR1fVjjYW5jXAeT15trXlG4DVbZxOSZIkSZL6yo5rSZLmsSRrgX1V9dfDVi0FHup5v7fFlrbl\n4fFD8lTVAeBJ4IRpKLYkSZIkaYFzjGtJkuapJC+km+zpX83wfjcCGwGWLVs2k7vWCJZv+uiY6/ds\nOXeGSiJJkiRJE+cd15IkzV/fA5wC/HWSPcBJwGeSfBewDzi5J+1JLbavLQ+P05snySLgGLpJGg9R\nVVdV1aqqWrV48eK+HpAkSZIkaWGw41qSpHmqqu6sqn9SVcurajndsB/fX1WPADcB65IcmeQUukkY\n76iqh4GnkpzVxq++ELixbfImYH1bPh+4vY2DLUmSJElSX9lxLUnSPJHkWuBTwCuS7E2yYbS0VXU3\nsB24B/gYcElVHWyrLwbeTzdh4xeBW1r8auCEJLuBXwY2TcuBSJIkSZIWPMe4liRpnqiq14+zfvmw\n95uBzSOk2wWsHCH+NHDB1EopSZIkSdL4vONakiRJkiRJkjRQ7LiWJEmSJEmSJA2UcTuuk3wgyWNJ\n7uqJHZ/k1iT3t5/H9ay7NMnuJPclOacnfkaSO9u6y9uET7RJoa5v8Z1Jlvf3ECVJkiRJkiRJc8lE\n7rjeCqwZFtsE3FZVK4Db2nuSnAqsA05rea5IckTLcyVwEbCivYa2uQF4oqpeBlwGvHuyByNJkiRJ\nkiRJmvvG7biuqk8CXx0WXgtsa8vbgPN64tdV1TNV9QCwGzgzyYnA0VW1o6oKuGZYnqFt3QCsHrob\nW5IkSZIkSZK08Ex2jOslVfVwW34EWNKWlwIP9aTb22JL2/Lw+CF5quoA8CRwwiTLJUmSJEmSJEma\n4xZNdQNVVUmqH4UZT5KNwEaAZcuWzcQuNYblmz465vo9W86doZJIkiRJkiRJmk8me8f1o234D9rP\nx1p8H3ByT7qTWmxfWx4ePyRPkkXAMcDjI+20qq6qqlVVtWrx4sWTLLokSZIkSZIkaZBNtuP6JmB9\nW14P3NgTX5fkyCSn0E3CeEcbVuSpJGe18asvHJZnaFvnA7e3cbAlSZIkSZIkSQvQuB3XSa4FPgW8\nIsneJBuALcBrktwPvLq9p6ruBrYD9wAfAy6pqoNtUxcD76ebsPGLwC0tfjVwQpLdwC8Dm/p0bJJG\nkeTkJH+R5J4kdyd5a4u/K8m+JJ9rr5/oyXNpkt1J7ktyTk/8jCR3tnWXD02u2r7Aur7FdyZZPtPH\nKUmSJEnSdPMaW5oe445xXVWvH2XV6lHSbwY2jxDfBawcIf40cMF45ZDUVweAt1XVZ5J8J/DpJLe2\ndZdV1Xt6Eyc5FVgHnAa8FPjzJC9vX0xdCVwE7ARuBtbQfTG1AXiiql6WZB3wbuBnZuDYJEmSJEma\nSV5jS9NgskOFSJrDqurhqvpMW/46cC+wdIwsa4HrquqZqnqA7smJM9sY90dX1Y42xM81wHk9eba1\n5RuA1UPfFEuSpKlL8kvtrq67klyb5AVJjk9ya5L728/jetIf1p1dkiRpYrzGlqaHHdfSAtceL3oV\n3be5AG9O8vkkH+i52F0KPNSTbW+LLW3Lw+OH5KmqA8CTwAnTcAiSJC04SZYCbwFWVdVK4Ai6O7c2\nAbdV1QrgtvZ++J1da4ArkhzRNjd0Z9eK9lozg4ciSdK84jW21D92XEsLWJIXA38E/GJVPUV34frd\nwOnAw8Bvz0AZNibZlWTX/v37p3t3kiTNJ4uAo5IsAl4I/C2H3o21jUPv0jrcO7skSdJh8Bpb6i87\nrqUFKsnz6BrUD1XVRwCq6tGqOlhV3wJ+DzizJd8HnNyT/aQW29eWh8cPydMuqI8BHh9ejqq6qqpW\nVdWqxYsX9+vwJEma16pqH/Ae4Mt0F8JPVtXHgSVV9XBL9giwpC1P5s4uSZI0QV5jS/037uSMkuaf\nNg7W1cC9VfXenviJPRe7PwXc1ZZvAv4wyXvpJo5YAdxRVQeTPJXkLLrHoC4E3teTZz3wKeB84PZ2\nJ5ckSZqi9qjxWuAU4GvAh5O8sTdNVVWSvrW9STYCGwGWLVvWr81qGizf9NEx1+/Zcu4MlUSSFgav\nsaXpYce1tDD9EPAm4M4kn2uxdwCvT3I6UMAe4N8BVNXdSbYD99DNlnxJm+0Y4GJgK3AU3UzHt7T4\n1cAHk+wGvko3rqYkSeqPVwMPVNV+gCQfAX4QeHToIrkNA/JYSz+ZO7sOUVVXAVcBrFq1ygtlSZKe\n5TW2NA3suJYWoKr6K2Ck2YdvHiPPZmDzCPFdwMoR4k8DF0yhmJIkaXRfBs5K8kLgH4DVwC7gG3R3\nY21pP29s6SdzZ5ckSZoAr7Gl6WHHtSRJkjTHVNXOJDcAn6G7U+uzdHdDvxjYnmQD8CDwupZ+Mnd2\nSZIkSbPGjmtJkiRpDqqqdwLvHBZ+hu7u65HSH9adXZIkSdJs+o7ZLoAkSZIkSZIkSb3suJYkSZIk\nSZIkDRQ7riVJkiRJkiRJA8WOa0mSJEmSJEnSQLHjWpKkeSLJB5I8luSunthvJflCks8n+eMkx/as\nuzTJ7iTLRF/cAAAgAElEQVT3JTmnJ35GkjvbusuTpMWPTHJ9i+9Msnwmj0+SJEmStHDYcS1J0vyx\nFVgzLHYrsLKqvg/4G+BSgCSnAuuA01qeK5Ic0fJcCVwErGivoW1uAJ6oqpcBlwHvnrYjkSRJkiQt\naHZcS5I0T1TVJ4GvDot9vKoOtLc7gJPa8lrguqp6pqoeAHYDZyY5ETi6qnZUVQHXAOf15NnWlm8A\nVg/djS1JkiRJUj/ZcS1J0sLx88AtbXkp8FDPur0ttrQtD48fkqd1hj8JnDCN5ZUkSZIkLVB2XEuS\ntAAk+U/AAeBDM7CvjUl2Jdm1f//+6d6dJEmSJGkesuNakqR5LsnPAq8F3tCG/wDYB5zck+ykFtvH\ns8OJ9MYPyZNkEXAM8Pjw/VXVVVW1qqpWLV68uI9HIkmSJElaKOy4liRpHkuyBvhV4Cer6u97Vt0E\nrEtyZJJT6CZhvKOqHgaeSnJWG7/6QuDGnjzr2/L5wO09HeGSJEmSJPXNotkugCRJ6o8k1wJnAy9J\nshd4J3ApcCRwa5tHcUdV/fuqujvJduAeuiFELqmqg21TFwNbgaPoxsQeGhf7auCDSXbTTQK5biaO\nS5IkSZK08NhxLUnSPFFVrx8hfPUY6TcDm0eI7wJWjhB/GrhgKmWUJEmSJGkiHCpEkiRJkiRJkjRQ\n7LiWJEmSJEmSJA0UO64lSZIkSZIkSQPFjmtJkiRJkiRJ0kCx41qSJEmSJEmSNFDsuJYkSZIkSZIk\nDRQ7riVJkiRJkiRJA8WOa0mSJEmSJEnSQLHjWpIkSZIkSZI0UOy4liRJkiRphiT5QJLHktzVE3tX\nkn1JPtdeP9Gz7tIku5Pcl+ScnvgZSe5s6y5PkhY/Msn1Lb4zyfKZPD5JkvrFjmtJkiRJkmbOVmDN\nCPHLqur09roZIMmpwDrgtJbniiRHtPRXAhcBK9praJsbgCeq6mXAZcC7p+tAJEmaTnZcS5IkSZI0\nQ6rqk8BXJ5h8LXBdVT1TVQ8Au4Ezk5wIHF1VO6qqgGuA83rybGvLNwCrh+7GliRpLplSx3WSX0py\nd5K7klyb5AVJjk9ya5L728/jetIf1iNOkiRJkiQtEG9O8vk2lMjQdfRS4KGeNHtbbGlbHh4/JE9V\nHQCeBE4YaYdJNibZlWTX/v37+3ckkiT1waQ7rpMsBd4CrKqqlcARdI8wbQJuq6oVwG3t/WQfcZIk\nSZIkab67Evhu4HTgYeC3Z2KnVXVVVa2qqlWLFy+eiV1KkjRhUx0qZBFwVJJFwAuBv+XQx5K2cejj\nSof7iJMkSZIkSfNaVT1aVQer6lvA7wFntlX7gJN7kp7UYvva8vD4IXnatfoxwOPTV3pJkqbHpDuu\nq2of8B7gy3TfCD9ZVR8HllTVwy3ZI8CStjyZR5wkSZIkSZrX2g1dQ34KuKst3wSsS3JkklPonlC+\no11zP5XkrDbU5oXAjT151rfl84Hb201ikiTNKYsmm7GNubUWOAX4GvDhJG/sTVNVlaRvDWSSjcBG\ngGXLlvVrs/Pe8k0fHbj97tly7gyWRJIkSZIGQ5JrgbOBlyTZC7wTODvJ6UABe4B/B1BVdyfZDtwD\nHAAuqaqDbVMXA1uBo4Bb2gvgauCDSXbTTQK5bvqPSpKk/pt0xzXwauCBqtoPkOQjwA8CjyY5saoe\nbt8aP9bST+YRp0NU1VXAVQCrVq3yG2NJkiRJ0pxSVa8fIXz1GOk3A5tHiO8CVo4Qfxq4YCpllCRp\nEExljOsvA2cleWF7NGk1cC+HPpa0nkMfVzrcR5wkTYMkJyf5iyT3JLk7yVtb/Pgktya5v/08rifP\npUl2J7kvyTk98TOS3NnWXd7qMa2uX9/iO5Msn+njlCRJkiRpunmNLU2PqYxxvRO4AfgMcGfb1lXA\nFuA1Se6nuyt7S0t/NzD0iNPHeO4jTu+nm7Dxizz7iJOk6XEAeFtVnQqcBVyS5FRgE3BbVa0Abmvv\naevWAacBa4ArkhzRtnUlcBHdl1Er2nqADcATVfUy4DLg3TNxYJIkSZIkzTCvsaVpMJU7rqmqd1bV\n91bVyqp6U1U9U1WPV9XqqlpRVa+uqq/2pN9cVd9TVa+oqlt64rvaNr6nqn7BiSOk6VVVD1fVZ9ry\n1+mellhKN279tpZsG3BeW14LXNfq+AN0XzKd2YYDOrqqdrR6e82wPEPbugFYPfRNsSRJkiRJ84XX\n2NL0mFLHtaS5rz1e9CpgJ7CkDd8D8AiwpC0vBR7qyba3xZa25eHxQ/JU1QHgSeCEvh+AJEmSJEkD\nwmtsqX+mMjmjpDkuyYuBPwJ+saqe6v2ytqoqybQ//ZBkI7ARYNmyZdO9O0mSJEmSpsV8usZevumj\n/SqSNGnecS0tUEmeR9egfqiqPtLCj7ZHk2g/H2vxfcDJPdlParF9bXl4/JA8SRYBxwCPDy9HVV1V\nVauqatXixYv7cWjSgpXkA0keS3JXT8wJYSRJkqRp5jW21H92XEsLUOuEuhq4t6re27PqJmB9W14P\n3NgTX9c6rU6hmyDijvbI01NJzmrbvHBYnqFtnQ/c7vj10rTbyrOTtwxxQhhJkiRpGnmNLU0PhwqR\nFqYfAt4E3Jnkcy32DmALsD3JBuBB4HUAVXV3ku3APXSzJV9SVQdbvovpOsuOAm5pL+ga7Q8m2Q18\nla6DTNI0qqpPjnAX9Frg7La8DfgE8HZ6JoQBHmh19cwke2gTwgAkGZoQ5paW511tWzcAv5skfmCW\nJEnSAuc1tjQN7LiWFqCq+itgtNmHV4+SZzOweYT4LmDlCPGngQumUExJ/THWhDA7etINTfzyTSY4\nIUySoQlhvjI9RZckSZIGn9fY0vSw41qSpAVirk0Io4lz8hxJkiRJ841jXEuSNL85IYwkSZIkac6x\n41qSpPnNCWEkSZIkSXOOHdeSJM0TSa4FPgW8IsneNgnMFuA1Se4HXt3eU1V3A0MTwnyM504I835g\nN/BFDp0Q5oQ2IcwvA5tm5MAkjSjJsUluSPKFJPcm+edJjk9ya5L728/jetJfmmR3kvuSnNMTPyPJ\nnW3d5e1LK0mSJGlWOca1JEnzRFW9fpRVTggjzU+/A3ysqs5P8nzghcA7gNuqakuSTXRfML09yanA\nOuA04KXAnyd5efvC6krgImAncDOwhme/sJIkSZJmhXdcS5IkSXNMkmOAH6V7EoKq+seq+hqwFtjW\nkm0DzmvLa4HrquqZqnqA7omKM9vY90dX1Y429M81PXkkSZKkWeMd15IkSdLccwqwH/j9JK8EPg28\nFVjSxqoHeARY0paXAjt68u9tsW+25eHx50iyEdgIsGzZskkXfPmmj466bs+WcyeVb7y8GnyT/b+Q\nJEnzl3dcS5IkSXPPIuD7gSur6lXANxg27ny7g7pvE6hW1VVVtaqqVi1evLhfm5UkSZJGZMe1JEmS\nNPfsBfZW1c72/ga6juxH2/AftJ+PtfX7gJN78p/UYvva8vC4JEmSNKscKkSSJEmaY6rqkSQPJXlF\nVd1HNwnrPe21HtjSft7YstwE/GGS99JNzrgCuKOqDiZ5KslZdJMzXgi8b4YPR9IcN95QPpIkTYYd\n15IkSdLc9GbgQ0meD3wJ+Dm6Jyq3J9kAPAi8DqCq7k6yna5j+wBwSVUdbNu5GNgKHAXc0l6SJEnS\nrLLjWgNnKt/WO3GLJElaKKrqc8CqEVatHiX9ZmDzCPFdwMr+lk6SJEmaGse4liRJkiRJkiQNFDuu\nJUmSJEmSJEkDxY5rSZIkSZIkSdJAseNakiRJkiRJkjRQnJxRkiRphow1AfFsTTA8iGWSJEmSJO+4\nliRJkiRJkiQNFDuuJUmSJEmSJEkDxY5rSZIkSZIkSdJAseNakiRJkiRJkjRQ7LiWJEmSJEmSJA0U\nO64lSZIkSZIkSQPFjmtJkiRJkiRJ0kCx41qSJEmSJEmSNFDsuJYkSZIkSZIkDRQ7riVJkiRJkiRJ\nA8WOa0mSJEmSJEnSQLHjWpIkSZIkSZI0UKbUcZ3k2CQ3JPlCknuT/PMkxye5Ncn97edxPekvTbI7\nyX1JzumJn5Hkzrbu8iSZSrkkSdKhkvxSkruT3JXk2iQvsM2WJEmSJA2qqd5x/TvAx6rqe4FXAvcC\nm4DbqmoFcFt7T5JTgXXAacAa4IokR7TtXAlcBKxorzVTLJckSWqSLAXeAqyqqpXAEXRtsm22JEmS\nJGkgTbrjOskxwI8CVwNU1T9W1deAtcC2lmwbcF5bXgtcV1XPVNUDwG7gzCQnAkdX1Y6qKuCanjyS\nJKk/FgFHJVkEvBD4W2yzJUmSJEkDatEU8p4C7Ad+P8krgU8DbwWWVNXDLc0jwJK2vBTY0ZN/b4t9\nsy0Pjz9Hko3ARoBly5ZNoeizY/mmj046754t5/axJLNvKr8LSdLhqap9Sd4DfBn4B+DjVfXxJNPS\nZs/19lrSwjPWZ9Pp/Bw+W9cHk92vn+ElSdJMmspQIYuA7weurKpXAd+gPWI8pN2NVVPYxyGq6qqq\nWlVVqxYvXtyvzUoLUpIPJHksyV09sXcl2Zfkc+31Ez3rDmu82yRHJrm+xXcmWT6TxyfpWW3s6rV0\nXzq/FHhRkjf2pulnm217LUmSpIXE62tpekyl43ovsLeqdrb3N9B1ZD/aHiWm/Xysrd8HnNyT/6QW\n29eWh8clTa+tjDw27WVVdXp73QyTHu92A/BEVb0MuAx493QdiKRxvRp4oKr2V9U3gY8AP4httiRJ\nktQPW/H6Wuq7SXdcV9UjwENJXtFCq4F7gJuA9S22HrixLd8ErGvfEp1CVwHvaI8oP5XkrPZN0oU9\neSRNk6r6JPDVCSafzHi3vWPn3gCsHvq2WNKM+zJwVpIXtnq4mm5CZdtsSZIkaYq8vpamx1TGuAZ4\nM/ChJM8HvgT8HF1n+PYkG4AHgdcBVNXdSbbTdW4fAC6pqoNtOxfTfTt1FHBLe0maHW9OciGwC3hb\nVT3B5Ma7XQo8BFBVB5I8CZwAfGV6iy9puKrameQG4DN0bfBngauAF2ObLUmSJE0Xr6+lKZhSx3VV\nfQ5YNcKq1aOk3wxsHiG+C1g5lbJI6osrgd+gG+f2N4DfBn5+OnfoJG7SzKiqdwLvHBZ+BttsSZIk\naTrM+PU1eI2t+WUqY1xLmmeq6tGqOlhV3wJ+DzizrZrMeLffzpNkEXAM8PgI+3QSN0mSJEnSvDIb\n19dtv15ja96w41rStw1N0tb8FDA0I/JkxrvtHTv3fOD2Nk6XJEmSJEnzmtfX0tRNdYxrSXNUkmuB\ns4GXJNlLN4TA2UlOp3uUaQ/w72DS491eDXwwyW66SSrWTf9RSZIkSYMtyQeA1wKPVdXKFjseuB5Y\nTvc5/HVtLFySXApsAA4Cb6mqP2vxM3j2c/jNwFurqpIcSTep2xl0d2T+TFXtmaHDkxYkr6+l6WHH\ntbRAVdXrRwhfPUb6wxrvtqqeBi6YShklSZKkeWgr8Lt0nctDNgG3VdWWJJva+7cnOZWug+o04KXA\nnyd5eevkuhK4CNhJ13G9hq6TawPwRFW9LMk64N3Az8zIkUkLlNfX0vRwqBBJkiRJkmZIVX2S7o7J\nXmuBbW15G3BeT/y6qnqmqh4AdgNntiEIjq6qHW24gGuG5Rna1g3A6jbsgCRJc4od15IkSZIkza4l\nbXxbgEeAJW15KfBQT7q9Lba0LQ+PH5Knqg4ATwInTE+xJUmaPg4VIkmSJEnSgGjjVM/IpGtJNgIb\nAZYtWzYTuzwsyzd9dNJ592w5t48lkSTNBjuuJUmSJEmaXY8mObGqHm7DgDzW4vuAk3vSndRi+9ry\n8Hhvnr1JFgHH0E3S+BxVdRVwFcCqVatmpLNc0vw31pdOfqmkw+FQIZIkSZIkza6bgPVteT1wY098\nXZIjk5wCrADuaMOKPJXkrDZ+9YXD8gxt63zg9jYOtiRJc4p3XEuSJEmSNEOSXAucDbwkyV7gncAW\nYHuSDcCDwOsAquruJNuBe4ADwCVVdbBt6mJgK3AUcEt7AVwNfDDJbrpJINfNwGFJktR3dlxLkiRJ\nkjRDqur1o6xaPUr6zcDmEeK7gJUjxJ8GLphKGSVJGgR2XEuSJPXJVCaRGkTjHY9jFEqSJEmaLo5x\nLUmSJEmSJEkaKHZcS5IkSZIkSZIGih3XkiRJkiRJkqSBYse1JEmSJEmSJGmgODnjHDHW5EhOjCRJ\nkrQwJTkC2AXsq6rXJjkeuB5YDuwBXldVT7S0lwIbgIPAW6rqz1r8DGArcBRwM/DWqqqZPRJJkiTp\nUN5xLUmSJM1dbwXu7Xm/CbitqlYAt7X3JDkVWAecBqwBrmid3gBXAhcBK9przcwUXZIkSRqdHdeS\nJEnSHJTkJOBc4P094bXAtra8DTivJ35dVT1TVQ8Au4Ezk5wIHF1VO9pd1tf05JEkSZJmjR3XkiRJ\n0tz0X4FfBb7VE1tSVQ+35UeAJW15KfBQT7q9Lba0LQ+PS5IkSbPKMa4lSZKkOSbJa4HHqurTSc4e\nKU1VVZK+jVWdZCOwEWDZsmX92mzfLLQ5YcY6XkmSpPnAO64lSZKkueeHgJ9Msge4DviXSf4AeLQN\n/0H7+VhLvw84uSf/SS22ry0Pjz9HVV1VVauqatXixYv7eSySJEnSc9hxLUmSJM0xVXVpVZ1UVcvp\nJl28vareCNwErG/J1gM3tuWbgHVJjkxyCt0kjHe0YUWeSnJWkgAX9uSRJEmSZo0d15IkLQBJjk1y\nQ5IvJLk3yT9PcnySW5Pc334e15P+0iS7k9yX5Jye+BlJ7mzrLm8dXZIGxxbgNUnuB17d3lNVdwPb\ngXuAjwGXVNXBludiugkedwNfBG6Z6UJLkiRJwznGtSRJC8PvAB+rqvOTPB94IfAO4Laq2pJkE7AJ\neHuSU+nu4DwNeCnw50le3jq5rgQuAnYCNwNrsJNLmlVV9QngE235cWD1KOk2A5tHiO8CVk5fCSVJ\nkqTD5x3XkiTNc0mOAX4UuBqgqv6xqr4GrAW2tWTbgPPa8lrguqp6pqoeoLsL88w2Xu7RVbWjqgq4\npiePJEmSJEl9Y8e1JEnz3ynAfuD3k3w2yfuTvAhY0sa3BXgEWNKWlwIP9eTf22JL2/LwuCRJkiRJ\nfWXHtSRJ898i4PuBK6vqVcA36IYF+bZ2B3X1Y2dJNibZlWTX/v37+7FJSZIkSdICY8e1JEnz315g\nb1XtbO9voOvIfrQN/0H7+Vhbvw84uSf/SS22ry0Pjx+iqq6qqlVVtWrx4sV9PRBJkiRJ0sJgx7Uk\nSfNcVT0CPJTkFS20GrgHuAlY32LrgRvb8k3AuiRHJjkFWAHc0YYVeSrJWUkCXNiTR5IkSZKkvlk0\n2wWQJEkz4s3Ah5I8H/gS8HN0X2BvT7IBeBB4HUBV3Z1kO13n9gHgkqo62LZzMbAVOAq4pb0kSZIk\nSeorO64lSVoAqupzwKoRVq0eJf1mYPMI8V3Ayv6WTpIkSZKkQ9lxLUmSJEmSJGnaLd/00THX79ly\n7gyVRHOBY1xLkiRJkiRJkgbKlDuukxyR5LNJ/rS9Pz7JrUnubz+P60l7aZLdSe5Lck5P/Iwkd7Z1\nl7cJnyRJkiRJkiRJC1A/7rh+K3Bvz/tNwG1VtQK4rb0nyanAOuA0YA1wRZIjWp4rgYuAFe21pg/l\nkiRJkiRJkiTNQVPquE5yEnAu8P6e8FpgW1veBpzXE7+u6v9v7/6DLSnvOo+/PzIEYxIUZDLi/HDQ\nJa7AmkTGKSpEi0giJEQnWkphaTLuUplKQtzEza4ZYpXuWkXVRN2YjW7iUgkG1iSIBoQKP3RCgjGb\nBRwQhIGwTMJkYQQmP1SS3ZU45Lt/nGfi4XLv3HPv+dX33Per6tTp8/R5ur/dp5/zdD/d/XQ9WVUP\nAfuArUlOBI6tqlurqoAr+vJIGpMklyU5mOTevrSR3TGR5Jgkf9TSb0uyeZLLJ0mSJEnSJHh8LY3H\nsFdcvxv4FeAbfWnrqurRNvwYsK4Nrwce7vveIy1tfRuemy5pvD7IM+9uGOUdExcCf1dV/wL4HeCd\nY1sSSZIkSZKm54N4fC2N3JrlZkzyauBgVd2R5Kz5vlNVlaSWO4955rkD2AGwadOmUU12xVvsiazS\nfKrqU/Ocpd0GnNWGLwduAd5O3x0TwENJDt8xsZ92xwRAksN3TNzY8vzHNq0/AX4vSdqdFZIkSZIk\nzQSPr6XxGOaK6zOBn2wF60rgx5L8IfB46/6D9n6wff8AsLEv/4aWdqANz01/hqq6tKq2VNWWtWvX\nDhG6pAWM8o6Jb+apqkPAPwDfOZ6wJUmSJEnqFI+vpSEtu+G6qi6uqg1VtZneLQ6fqKpfAK4Dtrev\nbQeubcPXARe0fnlOonfLw+2tED+R5IzWd8/r+vJImpJ25nbsZ2+T7EiyJ8meL37xi+OenSRJkiRJ\nEzWp42vwGFuzZdg+ruezC3hFkgeBl7fPVNVe4CrgPuAm4KKqeqrleRO9BzzuAz5H7zYISZM3yjsm\nvpknyRrg24Evz52hd1JIkiRJkmbQxI+vwWNszZaRNFxX1S1V9eo2/OWqOruqTq6ql1fVV/q+d0lV\nfV9VfX9V3diXvqeqTmvj3mwfPdLUjPKOif5p/Qy9uzIs25IkSZKk1cDja2lIy344o6SVLclH6D0o\n4oQkjwC/Tu8OiauSXAh8ATgfendMJDl8x8QhnnnHxAeBZ9O7W+LwSakPAP+9PWjiK/S6FJIkLcCH\nLUuSJK1MHl9L42HDtbRKVdXPLTDq7AW+fwlwyTzpe4DT5kn/R+Bnh4lRkiRJkqSu8/haGo9x9HEt\nSZIkSZIkSdKyecW1JEmSpE4YV5c5dsUjSZK08njFtSRJkiRJkiSpU2y4liRJkiRJkiR1ig3XkiRJ\nkiRJkqROseFakiRJkiRJktQpNlxLkiRJkiRJkjrFhmtJkiRJkiRJUqesmXYAkiRJkiSpuzbvvH7a\nISzZkWLev+u8CUYiSVour7iWJEmSJEmSJHWKDdeSJK0CSY5K8tdJPtY+H59kd5IH2/txfd+9OMm+\nJA8kOacv/fQk97Rx70mSaSyLJEmSJGn22XAtSdLq8Bbg/r7PO4Gbq+pk4Ob2mSSnABcApwLnAu9N\nclTL8z7g9cDJ7XXuZEKXJEmSJK02NlxLkjTjkmwAzgPe35e8Dbi8DV8OvKYv/cqqerKqHgL2AVuT\nnAgcW1W3VlUBV/TlkSRJkiRppGy4liRp9r0b+BXgG31p66rq0Tb8GLCuDa8HHu773iMtbX0bnpsu\nSZIkSdLIrZl2AJIkaXySvBo4WFV3JDlrvu9UVSWpEc5zB7ADYNOmTaOa7Eht3nn9guP27zpvgpGs\nbMOsR38DSZIkSUfiFdeSJM22M4GfTLIfuBL4sSR/CDzeuv+gvR9s3z8AbOzLv6GlHWjDc9Ofoaou\nraotVbVl7dq1o1wWSZIkSdIqYcO1JEkzrKourqoNVbWZ3kMXP1FVvwBcB2xvX9sOXNuGrwMuSHJM\nkpPoPYTx9tatyBNJzkgS4HV9eSRJ0ggk2Z/kniR3JdnT0o5PsjvJg+39uL7vX5xkX5IHkpzTl356\nm86+JO9pdbckSSuKDdeSJK1Ou4BXJHkQeHn7TFXtBa4C7gNuAi6qqqdanjfRe8DjPuBzwI2TDlqS\npFXgZVX1oqra0j7vBG6uqpOBm9tnkpxC76T0qcC5wHuTHNXyvA94Pb0T0Ce38ZIkrSj2cS1J0ipR\nVbcAt7ThLwNnL/C9S4BL5knfA5w2vgglSdI8tgFnteHL6dXlb2/pV1bVk8BDSfYBW1v3YMdW1a0A\nSa4AXoMnnCVJK4xXXEuSJEmS1A0FfDzJHe1hxwDrWpddAI8B69rweuDhvryPtLT1bXhuuiRJK4pX\nXEuSJEmS1A0vraoDSZ4P7E7y2f6RVVVJalQza43jOwA2bdo0qslKWgE277x+2iFIi/KKa0mSJEmS\nOqCqDrT3g8A1wFbg8SQnArT3g+3rB4CNfdk3tLQDbXhu+nzzu7SqtlTVlrVr145yUSRJGpoN15Ik\nSZIkTVmS5yR53uFh4MeBe4HrgO3ta9uBa9vwdcAFSY5JchK9hzDe3roVeSLJGUkCvK4vjyRJK4YN\n15IkSdIKk2Rjkk8muS/J3iRvaenHJ9md5MH2flxfnouT7EvyQJJz+tJPT3JPG/ee1tAlafLWAZ9O\ncjdwO3B9Vd0E7AJekeRB4OXtM1W1F7gKuA+4Cbioqp5q03oT8H5gH/A5fDCjJGkFso9rSZIkaeU5\nBLytqu5sV2jekWQ38IvAzVW1K8lOYCfw9iSnABcApwLfTe/hby9ojVzvA14P3AbcAJyLjVzSxFXV\n54EXzpP+ZeDsBfJcAlwyT/oe4LRRxyhJ0iR5xbUkSZK0wlTVo1V1Zxv+KnA/sB7YBlzevnY58Jo2\nvA24sqqerKqH6F2FubX1l3tsVd1aVQVc0ZdHkiRJmhobriVJkqQVLMlm4MX0rphe1/q3BXiMXtcD\n0GvUfrgv2yMtbX0bnpsuSZIkTZVdhUiSJEkrVJLnAh8F3lpVT/R3T11VlaRGOK8dwA6ATZs2Lfi9\nzTuvH9UsO2HWlkeSJGml8IprSZIkaQVKcjS9RusPVdXVLfnx1v0H7f1gSz8AbOzLvqGlHWjDc9Of\noaouraotVbVl7dq1o1sQSZIkaR5ecS1JmrrFrmbbv+u8CUUiSStDepdWfwC4v6re1TfqOmA7sKu9\nX9uX/uEk76L3cMaTgdur6qkkTyQ5g15XI68DfndCiyFJkvQ0Rzo29Lhw9bHhWpIkqY8nUrRCnAm8\nFrgnyV0t7R30GqyvSnIh8AXgfICq2pvkKuA+4BBwUVU91fK9Cfgg8GzgxvaSJEmSpsqGa0mSJGmF\nqapPA1lg9NkL5LkEuGSe9D3AaaOLTpIkSRresvu4TrIxySeT3Jdkb5K3tPTjk+xO8mB7P64vz8VJ\n9iV5IMk5femnJ7mnjXtP+p8qI0mSJEmSJElaVYZ5OOMh4G1VdQpwBnBRklOAncDNVXUycHP7TBt3\nAdEiJYoAABPzSURBVHAqcC7w3iRHtWm9D3g9vb72Tm7jJU1Jkv3tZNJdSfa0NE9KSZIkSZK0BB5f\nS8u37Ibrqnq0qu5sw18F7gfWA9uAy9vXLgde04a3AVdW1ZNV9RCwD9jannZ+bFXdWlUFXNGXR9L0\nvKyqXlRVW9pnT0pJkiRJkrR0Hl9LyzDMFdfflGQz8GJ6TyJfV1WPtlGPAeva8Hrg4b5sj7S09W14\nbrqkbvGklCRJkiRJw/P4WhrA0A9nTPJc4KPAW6vqif47FaqqktSw8+ib1w5gB8CmTZuWPZ3NO69f\ncNz+XectO69WtsV+28W2jRlTwMeTPAX8t6q6lCOflLq1L+/hk0//hCelJEmSJEmrm8fX0jIN1XCd\n5Gh6jdYfqqqrW/LjSU6sqkfbGaGDLf0AsLEv+4aWdqANz01/hla4LwXYsmXLyBrEJT3DS6vqQJLn\nA7uTfLZ/5ChPSo3qhJS6zxN/kiRJklahiR1fg8fYmi3L7iqkdQL/AeD+qnpX36jrgO1teDtwbV/6\nBUmOSXISvf54bm9nmJ5Ickab5uv68kiagqo60N4PAtcAW2knpQBGeVKqqi6tqi1VtWXt2rWjXhRJ\nkiRJkqZmksfXbT4eY2tmDNPH9ZnAa4Efa09GvSvJq4BdwCuSPAi8vH2mqvYCVwH3ATcBF1XVU21a\nbwLeT6/vns8BNw4Rl6QhJHlOkucdHgZ+HLgXT0pJkiRJkjQwj6+l4Sy7q5Cq+jSQBUafvUCeS4BL\n5knfA5y23FgkjdQ64JrWX/0a4MNVdVOSvwKuSnIh8AXgfOidlEpy+KTUIZ55UuqDwLPpnZDypJQk\nSZIkabXw+FoawtAPZ5Q0W6rq88AL50n/Mp6UkiRJkiRpIB5fS8MZpqsQSZIkSZIkSZJGzoZrSZJm\nXJKNST6Z5L4ke5O8paUfn2R3kgfb+3F9eS5Osi/JA0nO6Us/Pck9bdx7Wh97kiRJkiSNlF2FSJI0\n+w4Bb6uqO9vDYe5Ishv4ReDmqtqVZCewE3h7klOAC4BTge8GPp7kBa1/vfcBrwduA24AzsX+9SRJ\n0gzZvPP6Bcft33XeBCORpNXNhmtJM+FIO5fgDqZWt/YU8kfb8FeT3A+sB7YBZ7WvXQ7cAry9pV9Z\nVU8CDyXZB2xNsh84tqpuBUhyBfAabLiWJEmSJI2YDdeSJK0iSTYDL6Z3xfS61qgN8Bi9p55Dr1H7\n1r5sj7S0f2rDc9PnzmMHsANg06ZNowu+IxY7UaYe15MkSZKkYdjHtSRJq0SS5wIfBd5aVU/0j6uq\nAmoU86mqS6tqS1VtWbt27SgmKUmSJElaZWy4liRpFUhyNL1G6w9V1dUt+fEkJ7bxJwIHW/oBYGNf\n9g0t7UAbnpsuSZIkSdJI2XAtSdKMSxLgA8D9VfWuvlHXAdvb8Hbg2r70C5Ick+Qk4GTg9tatyBNJ\nzmjTfF1fHkmSJEmSRsY+riVJmn1nAq8F7klyV0t7B7ALuCrJhcAXgPMBqmpvkquA+4BDwEVV9VTL\n9ybgg8Cz6T2U0QczSpIkSZJGzoZrSZJmXFV9GsgCo89eIM8lwCXzpO8BThtddJIkSZIkPZNdhUiS\nJEmSJEmSOsWGa0mSJEmSJElSp9hViCRNyead1y84bv+u8yYYSfe5riRJkiRJR+Jx4+yx4VqSJEmS\nJK0aR2rcGjbvuBrHpjVfSZomuwqRJEmSJEmSJHXKzF5xPcwZVK1cnoWWJEmSJEmSVj6vuJYkSZIk\nSZIkdYoN15IkSZIkSZKkTrHhWpIkSZIkSZLUKTZcS5IkSZIkSZI6ZWYfzihJgxrmYa5HeuDntB4S\nO8xDSse1LiRJkiRJGsYwx6vDHCcP40jz9Rh6cTZcS5KkqRnXjty0ThxpNDyJJkmSJMmuQiRJkiRJ\nkiRJnWLDtSRJkiRJkiSpU2y4liRJkiRJkiR1in1cS5IkSZIkjdm0Hg43LT6UTtKwvOJakiRJkiRJ\nktQpNlxLkiRJkiRJkjrFrkIkrQqL3Za3WqY7i1xXkiRJkqRxsdubfzbpLo+84lqSJEmSJEmS1Ck2\nXEuSJEmSJEmSOsWGa0mSJEmSJElSp9hwLUmSJEmSJEnqlM40XCc5N8kDSfYl2TnteCSNhmVbmj2W\na2n2WK6l2WO5lmaP5VqrTScarpMcBfxX4JXAKcDPJTllulFJGpZlW5o9lmtp9liupdljuZZmj+Va\nq1EnGq6BrcC+qvp8VX0duBLYNuWYJA3Psi3NHsu1NHss19LssVxLs8dyrVWnKw3X64GH+z4/0tIk\nrWyWbWn2WK6l2WO5lmaP5VqaPZZrrTprph3AUiTZAexoH7+W5IGRz+OdI53cCcCXRjrF6ZiF5TgB\n+NIwv+8ieb9n+VNe3ZZYrru4La64mEb8P7eU6XZuXeWdR4zJcr1Mo6qvj7BNdWFbMoaOxjDAf5Fl\ne5kGLNtd2CbmY1xL06m4+sr1QnFZrpdpEsfY8+jU9jVqi9RDY9tPH9c+/ghZX0/IEcp1l8ve1GNb\nbtntSLmd+vo7bIFlOhzfkst1VxquDwAb+z5vaGlPU1WXApdOKqhhJdlTVVumHcewZmE5ZmEZVqhF\ny/ZSynUXf0djGlwX4+piTCvASMv1cnThdzMGY5gxI9sX7+rvYVxLY1wzobPH2Kv5d3TZV+eyj9BQ\n5brLv0GXYwPjG9Yw8XWlq5C/Ak5OclKSZwEXANdNOSZJw7NsS7PHci3NHsu1NHss19LssVxr1enE\nFddVdSjJm4E/A44CLquqvVMOS9KQLNvS7LFcS7PHci3NHsu1NHss11qNOtFwDVBVNwA3TDuOEVsx\n3ZosYhaWYxaWYUUacdnu4u9oTIPrYlxdjKnzOlBnd+F3M4YeY5gRIyzXXf09jGtpjGsGdKC+Xshq\n/h1ddg1lyHLd5d+gy7GB8Q1r2fGlqkYZiCRJkiRJkiRJQ+lKH9eSJEmSJEmSJAE2XI9Fkp9NsjfJ\nN5JsmTPu4iT7kjyQ5JxpxTiIJOe2OPcl2TnteAaV5LIkB5Pc25d2fJLdSR5s78dNM0Y93WLbWnre\n08b/TZIfGjTvGGP6+RbLPUk+k+SFfeP2t/S7kuwZVUwDxnVWkn9o874rya8NmneMMf2HvnjuTfJU\nkuPbuLGsq/n+B+aMn/g2pfFI8rYkleSEKcz7t5J8tm1D1yT5jgnNd6rbaJKNST6Z5L62v/OWScfQ\nF8tRSf46ycemFcNq0cW6esC4plJfDxjbxOvsAeOy3tbQkvxR33a0P8ldfeMWPSaeVh07CiNY9hV7\n7Jrkl9rvtjfJb7a0ZyX5g/bfcXeSsxbI+6Iktx7+f0mydaLBz4Ak35rk9rae9yb5T/N8Z8H/047E\nt2DdOME4F9y/nOb6GzC+qa6/xfYTlrX+qsrXiF/ADwDfD9wCbOlLPwW4GzgGOAn4HHDUtONdYBmO\navF9L/CsFvcp045rwNh/FPgh4N6+tN8EdrbhncA7px2nr2/+Notua8CrgBuBAGcAtw2ad4wxvQQ4\nrg2/8nBM7fN+4IQprauzgI8tJ++4Yprz/Z8APjGBdfWM/4FpblO+xvMCNtJ7OM0XxrEdDTD/HwfW\ntOF3TqJu6cI2CpwI/FAbfh7wv6ZVToB/B3x4vv89XyNdz52rq5cQ18Tr6yXENtE6eznTtt72NaLf\n9z8Dv9aGBzomnkYd26FlX5HHrsDLgI8Dx7TPz2/vFwF/cDgNuAP4lnny/znwyjb8KuCWaS/TSnu1\n/8jntuGjgduAM+Z8Z97/0w7FN2/dOOH1uOD+5TTX34DxTXX9LbafsJz15xXXY1BV91fVA/OM2gZc\nWVVPVtVDwD6gq2cRtwL7qurzVfV14Ep68XdeVX0K+Mqc5G3A5W34cuA1Ew1KRzLItrYNuKJ6bgW+\nI8mJA+YdS0xV9Zmq+rv28VZgwwjmO3RcY8o7yun+HPCREcz3iBb4H+g36W1K4/E7wK8AU3lgR1X9\neVUdah9Xwv/ASFTVo1V1Zxv+KnA/sH6SMQAk2QCcB7x/0vNehbpYVw8U15Tq64FiG1PeUU/beltD\nSRLgfP55OxromHhKdexILXfZWbnHrm8EdlXVkwBVdbClnwJ8oi/t74Et8+Qv4Ng2/O3A34412hnU\n/iO/1j4e3V5z95MX+j/tSnxTNcD+5dTW34Dxdd2S158N15O1Hni47/MjTOFAb0ArKdZBrKuqR9vw\nY8C6aQajpxlkW1voO+PaTpc63QvpnTU8rICPJ7kjyY4RxLPUuF7Sbru5McmpS8w7rphI8m3AucBH\n+5LHta4WM+ltSiOWZBtwoKrunnYszb/h6f8D49KpbTTJZuDF9K6YmbR30ztx8Y0pzHu16WJdPWhc\n/SZVXy8ltknW2UuatvW2RuRHgMer6sH2eTm/2aTq2FFb7rKv1GPXFwA/kuS2JH+R5Idb+t3ATyZZ\nk+Qk4HR6d83N9Vbgt5I8DPw2cPFEop4xrRuJu4CDwO6qmruPNtX/zQHig/nrxklZbP9y2vXOIPu/\n01x/i+0nLHn9rRlhcKtKko8D3zXPqF+tqmsnHY8GV1WVpFNn9bRyJXkZvQPhl/Ylv7SqDiR5PrA7\nyWfblUSTcCewqaq+luRVwJ8CJ09o3ov5CeB/VFX/FVXTXFfquCPVtcA76N1GPLUYDtf3SX4VOAR8\naNzxdEmS59Jr0HprVT0x4Xm/GjhYVXcs1Fem1K+D9TV0u84G620tYsBj4qGu2u9qHTuJZYfuHbsu\nsm+2Bjie3u3/PwxcleR7gcvodae6h173bp8BnppnGm8EfrmqPprkfOADwMtHvhAzrqqeAl6UXr/w\n1yQ5rarmfX7ANAwQ39Tqxq7vXw4Y37T3LUa+n2DD9TJV1XL+QA/w9DOLG1paF62kWAfxeJITq+rR\ndhvCwUVzaFIG2dYW+s7RA+QdV0wk+UF6t+i8sqq+fDi9qg6094NJrqF3C+AoDuoWjau/8aiqbkjy\n3vQeWjeuMr2U6V7AnJ33Ma6rxUx6m9IyLFTXJvlX9PqGvLt3Fy4bgDuTbK2qxyYRQ18svwi8Gji7\nqiZxYNmJ+jnJ0fQarT9UVVdPev7AmfSu3noV8K3AsUn+sKp+YQqxrAZdrKsHjWsa9fVAsU2hzh4o\nrj7W2zqiAerINcBP07vC9rCBt8Ep1LEDG/Oyd/bY9UjLneSNwNXtt7o9yTfo9XX7ReCX+773GXrP\nx5hrO3D4gc9/zMrtCqETqurvk3yS3p0z/Q3DndiXXCi+herGqvrSBMIaZP9ymutv0fimvP4G2U9Y\n+vqrKXZ4PusvnvlwxlN5+sMYPk93H864psV3Ev/8oJNTpx3XEuLfzNMfzvhbPP0BF7857Rh9ffO3\nWXRbo9eHU38H/rcPmneMMW2i1y/dS+akPwd4Xt/wZ4BzJ7iuvgtIG94K/O+23qa2rtr3vp1e35XP\nmcS6atN82v/ANLcpX+N9McYHrC0y33OB+4C1E5zn1LfRVm6uAN497d++xXMWPpxx3Ou4c3X1EuKa\neH29hNgmWmcv5few3vY1ot/0XOAv5qQNdEw8jTq2Q8u+Io9dgTcAv9GGX0CvO4AA33b4vwR4BfCp\nBfLfD5zVhs8G7pj2Mq20F7AW+I42/GzgL4FXz/nOvP+nHYpv3rpxCuvyLOZ/+OHU1t+A8U1t/Q2y\nn7Cc9ecV12OQ5KeA36VXKK9PcldVnVNVe5NcRa8CPgRcVL3bJDqnqg4leTPwZ/Se1n1ZVe2dclgD\nSfIReoX4hCSPAL8O7KJ3q9KF9G5POn96EarfQttakje08b8P3EDv6bP7gP8L/Osj5Z1QTL8GfCfw\n3nbF56Gq2kKvD7prWtoa4MNVddOwMS0hrp8B3pjkEPD/gAuqV0NMc10B/BTw51X1f/qyj21dLfA/\ncHRfTBPdpjSzfo/ewefuth3fWlVvGOcMO7KNngm8Frin9VEI8I6qumHCcWhCulhXLyGuidfXS4ht\nonX2EuIC622NxnxX7S94TJzk/cDvV9UeplDHjtgwy75Sj10vAy5Lci/wdWB7VVXrMuDP2hXYB+jt\nQwDPWO7XA/+lXa3+j8Ak+9GfFScClyc5it4z7a6qqo8NUl93KL6F6sap6dD6m1eH1t+8+wnDrr9M\n+feXJEmSJEmSJOlpvmXaAUiSJEmSJEmS1M+Ga0mSJEmSJElSp9hwLUmSJEmSJEnqFBuuJUmSJEmS\nJEmdYsO1JEmSJEmSJM2wJJclOZjk3hFM63uS3JnkriR7k7yhb9ybk+xLUklOGGo+VTVsrJIkSZIk\nSZKkjkryo8DXgCuq6rQhp/Useu3KTyZ5LnAv8JKq+tskLwb+DrgF2FJVX1rufLziWpIkSZIkSZJm\nWFV9CvhKf1qS70tyU5I7kvxlkn854LS+XlVPto/H0NfGXFV/XVX7RxGzDdeSJEmSJEmStPpcCvxS\nVZ0O/HvgvYNmTLIxyd8ADwPvrKq/HXVwa0Y9QUmSJEmSJElSd7UuPl4C/HGSw8nHtHE/DfzGPNkO\nVNU5AFX1MPCDSb4b+NMkf1JVj48yRhuuJUmSJEmSJGl1+Rbg76vqRXNHVNXVwNWDTKT1a30v8CPA\nn4w6QEmSJEmSJEnSKlFVTwAPJflZgPS8cJC8STYkeXYbPg54KfDAqGO04VqSJEmSJEmSZliSjwD/\nE/j+JI8kuRD4eeDCJHcDe4FtA07uB4DbWr6/AH67qu5p8/m3SR4BNgB/k+T9y465qpabV5IkSZIk\nSZKkkfOKa0mSJEmSJElSp9hwLUmSJEmSJEnqFBuuJUmSJEmSJEmdYsO1JEmSJEmSJKlTbLiWJEmS\nJEmSJHWKDdeSJEmSJEmSpE6x4VqSJEmSJEmS1Ck2XEuSJEmSJEmSOuX/A+wvl/AgIVVsAAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113b0a828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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kVXR/n0O3UPndwFX0LHYOPNT+vj4jyQ7aYucASYYXO7+9lXlHO9bNwPuSxMEj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\nJGm5JHkQ8B7gVVV11/rupquqkrRy7E1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      "text/plain": [
       "<matplotlib.figure.Figure at 0x112ca0940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 4\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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U32HpR6qj1sM58sL2ekG31+Oln8C2Jr2+H+eJtA1pFiRZBnwB+K7qBsvv57b/b+Cxqho+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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11887bda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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SpNnGyc4lSZI0J9mzWpIkSZqhnOxckiRJ84nBakmSJGmGcrJzSZIkzScOAyJJ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\nSZIkqbn/AxiLojHA3wRqAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117aa55f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.04065, 0.32061666666666666, 1.4111833333333335, 1.4125499999999998, 1.4125499999999998]\n",
      "[0.005216666666666667, 0.0, 0.0, 0.0, 0.0]\n"
     ]
    }
   ],
   "source": [
    "node_num = 100 #각 은닉층의 노드 수\n",
    "num_layers = 6 # 3개의 은닉층 + 3개의 활성화층\n",
    "num_epochs = 5\n",
    "\n",
    "layers = OrderedDict()\n",
    "\n",
    "for i in range(num_layers):\n",
    "    if i % 2 == 0:\n",
    "        w = np.random.randn(node_num, node_num) * 0.01\n",
    "        b = np.random.randn(node_num) * 0.01\n",
    "        layers[i] = Affine(w, b)\n",
    "    else:    \n",
    "        layers[i] = Sigmoid()\n",
    "\n",
    "avg_forward_std, avg_backward_std = activation_value_histogram(layers, num_epochs)\n",
    "avg_forward_std_dic['N(0.0, 0.0001)'] = avg_forward_std\n",
    "avg_backward_std_dic['N(0.0, 0.0001)'] = avg_backward_std\n",
    "print(avg_forward_std)\n",
    "print(avg_backward_std)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 4) Xavier Initializer where Standard Deviation is $1 \\over \\sqrt{n}$ ($n$ is the number of neurons in the previous layer)\n",
    "- Weight Distribution: $W \\sim N(0, {1 \\over n})$\n",
    "- Bias Distribution: $B \\sim N(0, {1 \\over n})$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 0\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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tfSnPDrR+I/A22840V4ynB/ZI3pLkjhZi5LCWthB4sCfPlpa2sE0PTd9tnara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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117ec1198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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ts75tXwGc3BtUIkmSJA3ahI3Voz0gs+tD7Xp2fdj1AVmSpDkiyWnA7wG/VlXf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\nSZKkkbOxWpIkSZIkSZI0cv8ftuIRC3uL8OcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119756080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 1\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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M8nlXJlmXZN3mzZtn89SSJEnSrBtnhONoHOEozR0LgF2SLABeBPwTW+fH1Wyd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\nUlVfADLP7OPnWec84Lw5yrcBz5uj/J+A1/URpjQ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      "text/plain": [
       "<matplotlib.figure.Figure at 0x117a110f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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kaZ4xWC1JkiTNTNuB7VW1uX2+gS54/URL7UH7+WTbvgM4pq/90a1sR1sfWb5X\nmyQLgMOAp0Y7maq6uqqWV9XyhQsXTvLSJEmSpBczWC1JkiTNQFX1OPBokte3ohXAfcBNwKpWtgq4\nsa3fBKxMcnCSY4HjgTtbypBdSU5t+ajPH9Gmt6+zgNvbaG1JkiRp4BYM+wQkSZIkjekdwMeTvBT4\nJvCLdANONiZZDTwCnANQVfcm2UgX0N4NXFRVe9p+LgTWA4cAt7QFuskbP5ZkK/A0sHIQFyVJkiSN\nxmC1JEmSNENV1V3A8lE2rRij/jpg3SjlW4CTRil/Djh7kqcpSZIkTQnTgEiSJEmSJEmShs5gtSRJ\nkiRJkiRp6AxWS5IkSZIkSZKGzmC1JEmSJEmSJGnoDFZLkiRJkiRJkobOYLUkSZIkSZIkaegMVkuS\nJEmSJEmShs5gtSRJkiRJkiRp6AxWS5IkSZIkSZKGzmC1JEmSJEmSJGnoDFZLkiRJkiRJkobOYLUk\nSXNAkmOS/GmS+5Lcm+TiVn5EkluTPNh+Ht7X5pIkW5M8kOS0vvJlSe5p265MklZ+cJLrW/nmJEsH\nfZ2SJEmSpLnLYLUkSXPDbuA9VXUCcCpwUZITgLXAbVV1PHBb+0zbthI4ETgd+FCSg9q+rgIuAI5v\ny+mtfDXwTFUdB1wBXD6IC5MkSZIkzQ8Gq6V5yBGY0txTVY9V1Vfb+neA+4HFwBnAhlZtA3BmWz8D\nuK6qnq+qh4GtwClJjgIOrapNVVXAtSPa9PZ1A7Cid89LkiRJkjRZBqul+ckRmNIc1l4OvQHYDCyq\nqsfapseBRW19MfBoX7PtrWxxWx9ZvlebqtoNPAscOeUXIEmSJEmalwxWS/OQIzCluSvJK4BPAe+q\nql3929p9WgM4hzVJtiTZsnPnzuk+nCRJkiRpjjBYLc1zjsCU5o4kL6ELVH+8qj7dip9oL5ZoP59s\n5TuAY/qaH93KdrT1keV7tUmyADgMeGrkeVTV1VW1vKqWL1y4cCouTZIkSZI0DxisluYxR2BKc0f7\n5sI1wP1V9YG+TTcBq9r6KuDGvvKVLb/8sXRpfO5sL6x2JTm17fP8EW16+zoLuL09KyRJkiRJmjSD\n1dI85QhMac75MeDngZ9Kcldbfga4DHhzkgeBN7XPVNW9wEbgPuDzwEVVtaft60LgI3Qpfx4Cbmnl\n1wBHJtkKvJuW116SJEmSpKmwYNgnIGnwJjAC8zJePALzj5J8AHgNL4zA3JNkV5JT6dKInA/83oh9\nfRlHYEqVeR1GAAAgAElEQVTTrqr+HBgrL/yKMdqsA9aNUr4FOGmU8ueAsydxmpIkzXtJPgq8FXiy\nqk5qZf8P8C+Bv6N7UfyLVfXtlrLvfuCB1nxTVf1Ka7MMWA8cAtwMXFxVleRgurlkltENFjm3qrYN\n5OIkSZqkcUdWJzkmyZ8muS/JvUkubuVHJLk1yYPt5+F9bS5JsjXJA0lO6ytfluSetu3K3mRr7SvI\n17fyza1DljR9HIEpSZIkDcd64PQRZbcCJ1XVPwb+Erikb9tDVXVyW36lr/wq4AK6gSTH9+1zNfBM\nVR0HXAFcPvWXIEnS9JjIyOrdwHuq6qtJXgl8JcmtwC8At1XVZUnW0gWi3pvkBGAlcCLdCMwvJnld\nC2z1OtPNdG9+T6cLbP2gM02ykq4zPXcqL1TSCxyBKUmSJA1HVX1p5ACtqvqTvo+b6L6ZOKaWsu/Q\nqtrUPl8LnEn3/+szgEtb1RuADyaJ33KUJM0G446srqrHquqrbf07dF9BWkzXAW5o1TbQdYy08uuq\n6vmqephutOUp/Z1p6ySvHdGmt68bgBW9UdeSJEmSJM0jv8QL31YEOLZ9E/LPkvx4K1sMbO+rs72V\n9bY9ClBVu4FngSOn95QlSZoa+5Wzur39fQPdyOhFVfVY2/Q4sKitL6Z7E9zT6zS/xwQ70yS9zvRb\n+3N+kiRJkiTNVkn+I923mz/eih4DllTVUy1H9R8nOXEKj7cGWAOwZMmSqdqtJEkHbNyR1T1JXgF8\nCnhXVe3q39ZGSk/7V4qSrEmyJcmWnTt3TvfhJEmSJEkaiCS/QDfx4s/2Una0byw/1da/QjdHzOuA\nHcDRfc2PbmW0n8e0fS4ADqObaPFFqurqqlpeVcsXLlw45dckSdL+mlCwOslL6ALVH6+qT7fiJ1pq\nj16+rCdb+Q86xqbXaU66M7UjlSRJkiTNNUlOB/4D8Laq+pu+8oVJDmrrr6WbSPGb7VvOu5Kc2lJo\nng/c2JrdBKxq62cBt5uvWpI0W4ybBqR1fNcA91fVB/o29TrAy9rP/o7xj5J8gG6CxeOBO6tqT5Jd\nSU6lSyNyPvB7I/b1ZexMB2rp2s/tc/u2y94yoDORJEnSaJJsA74D7AF2V9XyJEcA1wNLgW3AOVX1\nTKt/Cd0E5nuAd1bVF1r5MmA9cAjdZOcXV1UlOZhuPplldANGzq2qbQO6PGneSfIJ4I3Aq5NsB94P\nXAIcDNzapm/aVFW/AvwE8OtJvgd8H/iVqnq67epCXrinb+GFPNfXAB9LshV4Glg5gMuSJGlKTCRn\n9Y8BPw/ck+SuVvY+uiD1xiSrgUeAcwCq6t4kG4H76HJtXVRVe1o7O1NJkiRp//1kVfXP57IWuK2q\nLkuytn1+b5IT6P4tfSLdwJEvJnld+/f4VcAFdANHbgZOp/v3+Grgmao6LslK4HLg3EFdmDTfVNV5\noxRfM0bdT9F9y3m0bVuAk0Ypfw44ezLnKEnSsIwbrK6qPwcyxuYVY7RZB6wbpdzOVJIkSZq8M+hG\nZgJsAO4A3tvKr6uq54GH22CQU9ro7EOrahNAkmuBM+mC1WcAl7Z93QB8MEn8pqMkSZIGbSIjqyVJ\nkiQNT9GNkN4D/NequhpY1HLWAjwOLGrri4FNfW23t7LvtfWR5b02jwJU1e4kzwJHAv0juUmyBlgD\nsGTJkqm5MkmaR0zDKUnjM1gtSZIkzWz/rKp2JPl7dPlsv9G/seWdnvZR0C1IfjXA8uXLHXUtSZKk\nKfdDwz4BSZIkSWOrqh3t55PAZ4BTgCeSHAXQfj7Zqu8AjulrfnQr29HWR5bv1SbJAuAwuokWJUmS\npIEyWC1JkiTNUElenuSVvXXgXwBfB24CVrVqq4Ab2/pNwMokByc5FjgeuLOlDNmV5NQkAc4f0aa3\nr7OA281XLUmSpGEwDYgkSZI0cy0CPtPFl1kA/FFVfT7J/wA2JlkNPAKcA1BV9ybZCNwH7AYuqqo9\nbV8XAuuBQ+gmVryllV8DfKxNxvg0sHIQFyZJkiSNZLBakiRJmqGq6pvAj45S/hSwYow264B1o5Rv\nAU4apfw54OxJn6wkSfNYklcBH6Hrawv4JeAB4HpgKbANOKeqnmn1LwFWA3uAd1bVF1r5Ml54uXwz\ncHGbn+Jg4FpgGV26rnOrattgrk4aHNOASJIkSZIkSZPzu8Dnq+pH6F403w+sBW6rquOB29pnkpxA\n902mE4HTgQ8lOajt5yrgArpUXse37dAFtp+pquOAK4DLB3FR0qAZrJYkSZIkSZIOUJLDgJ+gS61F\nVf1dVX0bOAPY0KptAM5s62cA11XV81X1MLAVOKVNmnxoVW1q80dcO6JNb183ACvaPBTSnGKwWpIk\nSZIkSTpwxwI7gT9I8rUkH2kTIy9qkxwDPE43FwXAYuDRvvbbW9nitj6yfK82VbUbeBY4chquRRoq\ng9WSJEmSJEnSgVsA/BPgqqp6A/BdWsqPnjZSuqb7RJKsSbIlyZadO3dO9+GkKWewWpIkSZIkSTpw\n24HtVbW5fb6BLnj9REvtQfv5ZNu+Azimr/3RrWxHWx9ZvlebJAuAw+gmWtxLVV1dVcuravnChQun\n4NKkwTJYLUmSJEmSJB2gqnoceDTJ61vRCuA+4CZgVStbBdzY1m8CViY5OMmxdBMp3tlShuxKcmrL\nR33+iDa9fZ0F3N5Ga0tzyoJhn4AkSZIkSdKgLF37uWGfguamdwAfT/JS4JvAL9INEt2YZDXwCHAO\nQFXdm2QjXUB7N3BRVe1p+7kQWA8cAtzSFugmb/xYkq3A08DKQVyUNGgGqyVpmviPYEmSJEmaH6rq\nLmD5KJtWjFF/HbBulPItwEmjlD8HnD3J05RmPNOASJIkSZIkSZKGzpHVkiRJ+8FvTUiSJEnS9HBk\ntSRJkiRJkiRp6AxWS5IkSZIkSZKGzmC1JEmSJEmSJGnoDFZLkiRJkiRJkobOYLUkSZIkSZIkaegM\nVkuSJEmSJEmShs5gtSRJkiRJkiRp6AxWS5IkSZIkSZKGzmC1JEmSJEmSJGnoDFZLkiRJkiRJkobO\nYLUkSZIkSQOS5KNJnkzy9b6yI5LcmuTB9vPwvm2XJNma5IEkp/WVL0tyT9t2ZZK08oOTXN/KNydZ\nOsjrkyRpMgxWS5IkSZI0OOuB00eUrQVuq6rjgdvaZ5KcAKwETmxtPpTkoNbmKuAC4Pi29Pa5Gnim\nqo4DrgAun7YrkSRpihmsliRpjhhjpNalSXYkuastP9O3zZFakiQNWFV9CXh6RPEZwIa2vgE4s6/8\nuqp6vqoeBrYCpyQ5Cji0qjZVVQHXjmjT29cNwIpeXy5J0kxnsFqSpLljPS8eqQVwRVWd3JabwZFa\nkiTNMIuq6rG2/jiwqK0vBh7tq7e9lS1u6yPL92pTVbuBZ4EjRztokjVJtiTZsnPnzqm4DkmSJsVg\ntTRPOQJTmnvGGKk1FkdqSZI0A7X+twZ0rKuranlVLV+4cOEgDilJ0j4ZrJbmr/U4AlOaL96R5O72\nkqo3YdO0jtSSNHWSHJTka0k+2z47EZs09zzRXhjTfj7ZyncAx/TVO7qV7WjrI8v3apNkAXAY8NS0\nnbkkSVPIYLU0TzkCU5o3rgJeC5wMPAb89nQf0K8US1PuYuD+vs9OxCbNPTcBq9r6KuDGvvKV7cXS\nsXT3750tZciuJKe2f2OfP6JNb19nAbe3f6tLkjTjLRj2CWjylq793LBPQXPLO5KcD2wB3lNVz9CN\nptzUV6c30vJ7THAEZpLeCMxvTe/pS+pXVU/01pN8GPhs+ziZkVrb9zVSq6quBq4GWL58uf85liYh\nydHAW4B1wLtb8RnAG9v6BuAO4L30vVwGHk7Se7m8jfZyue2z93L5ltbm0ravG4APJomBLWn6JPkE\n3T386iTbgfcDlwEbk6wGHgHOAaiqe5NsBO4DdgMXVdWetqsL6b4teQjd/XxLK78G+Fh7BjxN9xJL\nkqRZwWC1pH5XAb9BlyPvN+hGYP7SdB4wyRpgDcCSJUum81DSvJTkqL4Jm94O9PLU3wT8UZIPAK/h\nhZFae5LsSnIqsJlupNbv9bVZBXwZR2pJg/I7wH8AXtlXtq+J2Kbt5bJ9tjQ1quq8MTatGKP+OroX\nViPLtwAnjVL+HHD2ZM5RkqRhGTcNiJOwSfNHVT1RVXuq6vvAh4FT2qZpy5XnpC7S1Gkjtb4MvD7J\n9jY667da/3s38JPAr0I3UgvojdT6PC8eqfURupQ/D7H3SK0j20itd9NSD0iaHkneCjxZVV8Zq44T\nsUmSJGkumcjI6vXAB+ly0fa7oqr+c3/BiDx5rwG+mOR17T+/vTx5m4Gb6fLk3UJfnrwkK+ny5J17\nwFck6YA5AlOa3cYYqXXNPuo7Ukua2X4MeFsbGPIy4NAkf0ibiK2qHpvCidj2md5HkiRJGoRxR1Y7\nCZs0NzkCU5Kkma2qLqmqo6tqKd2AkNur6udwIjZJkiTNUZPJWe0kbNIs5ghMSZJmLSdikyRJ0px0\noMHqgU/CBk7qIkmSpPmpqu4A7mjrT+FEbJIkSZqDxk0DMpphTMLWjuukLpIkSZIkSZI0Bx1QsLrl\noO4ZOQmbefIkSZIkSZIkSftl3DQgbRK2NwKvTrIdeD/wxiQn06UB2Qb8MpgnT5IkSZIkSZJ0YMYN\nVjsJmyRJkiRJkiRpuh1QGhBJkiRJkiRJkqaSwWpJkiRJkiRJ0tAZrJYkSZIkSZIkDZ3BakmSJEmS\nJEnS0BmsliRJkiRJkiQNncFqSZIkSZIkSdLQGayWJEmSJEmSJA2dwWpJkiRJkiRJ0tAZrJYkSZIk\nSZIkDZ3BakmSJEmSJEnS0BmsliRJkiRJkiQNncFqSZIkSZIkSdLQGayWJEmSJEmSJA2dwWpJkiRJ\nkiRJ0tAZrJYkSZIkSZIkDZ3BakmSJEmSJGmSkhyU5GtJPts+H5Hk1iQPtp+H99W9JMnWJA8kOa2v\nfFmSe9q2K5OklR+c5PpWvjnJ0kFfnzQIBqslSZIkSZKkybsYuL/v81rgtqo6HritfSbJCcBK4ETg\ndOBDSQ5qba4CLgCOb8vprXw18ExVHQdcAVw+vZciDYfBakmSJEmShizJ65Pc1bfsSvKuJJcm2dFX\n/jN9bfZrZKak6ZPkaOAtwEf6is8ANrT1DcCZfeXXVdXzVfUwsBU4JclRwKFVtamqCrh2RJvevm4A\nVnhvay4yWC1JkiRJ0pBV1QNVdXJVnQwsA/4G+EzbfEVvW1XdDAc8MlPS9Pkd4D8A3+8rW1RVj7X1\nx4FFbX0x8Ghfve2tbHFbH1m+V5uq2g08Cxw5hecvzQgGqyVJkiRJmllWAA9V1SP7qHMgIzMlTYMk\nbwWerKqvjFWn3Y81gHNZk2RLki07d+6c7sNJU85gtSRJkiRJM8tK4BN9n9+R5O4kH+2boO1ARmZK\nmh4/BrwtyTbgOuCnkvwh8ER7gUT7+WSrvwM4pq/90a1sR1sfWb5XmyQLgMOAp0aeSFVdXVXLq2r5\nwoULp+bqpAEyWC1JkiTNQEleluTOJH+R5N4kv9bKj0hya5IH28/D+9rsV/7aJAcnub6Vb06ydNDX\nKWlvSV4KvA34ZCu6CngtcDLwGPDbU3gsR2BKU6CqLqmqo6tqKd3Lptur6ueAm4BVrdoq4Ma2fhOw\nsvXDx9Kl67mzpQzZleTU1lefP6JNb19ntWNM+0htadAMVkuSJEkz0/PAT1XVj9IFqU5PciqwFrit\nqo4HbmufDzR/7Wrgmao6DrgCuHwQFyZpn34a+GpVPQFQVU9U1Z6q+j7wYeCUVu9ARmbuxRGY0rS7\nDHhzkgeBN7XPVNW9wEbgPuDzwEVVtae1uZBuksatwEPALa38GuDIJFuBd9P6f2muWTDsE5AkSZL0\nYm201F+3jy9pS9HlqX1jK98A3AG8l778tcDD7T+zp7SvJB9aVZsAkvTy197S2lza9nUD8MEkcaSW\nNFTn0ZcCJMlRfRO0vR34elu/CfijJB8AXsMLIzP3JNnVXm5tphuZ+XsDO3tpnquqO+j6ZqrqKboc\n9KPVWwesG6V8C3DSKOXPAWdP4alKM5LBakmSJGmGaiOjvwIcB/yXqtqcZFFf4OpxYFFbXwxs6mve\ny1P7PcbOX/uDnLdVtTvJs8CRwLem4XIkjSPJy4E3A7/cV/xbSU6me1m1rbetqu5N0huZuZsXj8xc\nDxxC92LqFiRJmgUMVmuflq793Jjbtl32lgGeiSRJ0vzTAk8nJ3kV8JkkJ43YXkkGMgo6yRpgDcCS\nJUsGcUhp3qmq79K9MOov+/l91N+vkZmSJM10BqslSZKkGa6qvp3kT+lyTT/RSwuQ5CjgyVbtQPLX\n9tpsT7IAOAx4aoxzuBq4GmD58uWmCZGkKeZgMUlygkVJkiRpRkqysI2oJskhdKkBvkGXp3ZVq7YK\nuLGt3wSsTHJwkmN5IX/tY8CuJKcmCV3+2v42vX2dBdxuvmpJkiQNiyOrJUmSpJnpKGBDy1v9Q8DG\nqvpski8DG5OsBh4BzoEDzl97DfCxNhnj08DKgVyZJEmSNAqD1ZIkSdIMVFV3A28YpfwpYMUYbfYr\nf21VPQecPemTlSRJkqaAaUAkSZIkSZIkSUNnsFqSpDkiyUeTPJnk631lRyS5NcmD7efhfdsuSbI1\nyQNJTusrX5bknrbtypbjlpYH9/pWvjnJ0kFenyRJkiRpbjNYLc1TBrWkOWk9cPqIsrXAbVV1PHBb\n+0ySE+hy057Y2nyo5cUFuAq4gG5ytuP79rkaeKaqjgOuAC6ftiuRJEmSJM07Bqul+Ws9BrWkOaWq\nvkQ3QVq/M4ANbX0DcGZf+XVV9XxVPQxsBU5JchRwaFVtqqoCrh3RprevG4AVvRdUkiRJkiRNlhMs\nSvNUVX1plNHOZwBvbOsbgDuA99IX1AIeTtILam2jBbUAkvSCWre0Npe2fd0AfDBJWvBL0uAsqqrH\n2vrjwKK2vhjY1Fdveyv7XlsfWd5r8yhAVe1O8ixwJPCt/gMmWQOsAViyZMmUXcigLF37uWGfgiRJ\nkiTNS+OOrDZVgDSv7Cuo9WhfvV7wajETDGoBvaDWXpKsSbIlyZadO3dO1XVIGkV7WTTtL4yq6uqq\nWl5VyxcuXDjdh5MkSZIkzRETGVm9Hvgg3deAe3qpAi5LsrZ9fu+IVAGvAb6Y5HVVtYcXUgVsBm6m\nSxVwC32pApKspEsVcO5UXJykA1dVlWQgQS3gaoDly5c76lqaek8kOaqqHmspPp5s5TuAY/rqHd3K\ndrT1keX9bbYnWQAcBjw1nScvSZJ0IPymlCTNTuOOrDb/pTSvPNHuV6YwqIVBLWmobgJWtfVVwI19\n5SvbN5yOpcs5f2f7dsWuJKe2/vj8EW16+zoLuN3UPpIkSZKkqXKgEywOPFWApIEwqCXNYkk+AXwZ\neH2S7UlWA5cBb07yIPCm9pmquhfYCNwHfB64qH0TCuBC4CN0L50fovsmFMA1wJEtb/27aZOwSpIk\nSZI0FSY9weKgUgXA7J+wSZpJWlDrjcCrk2wH3k8XxNrYAlyPAOdAF9RK0gtq7ebFQa31wCF0Aa3+\noNbHWlDraboUQZKmUVWdN8amFWPUXwesG6V8C3DSKOXPAWdP5hwlSZIkSRrLgQarh5L/0ty20tQx\nqDU1zIUnSZIkSZI0NQ40DYipAiRJkiRJkiRJU2bckdWmCpAkSZIk6f9v7/6D7a7r/I4/XxBlHBUV\niSyG0DCVbQdoxeVOyqzWUdlK1J0Gt4rZ6QjbzZhuxV+tbQ0603V0mIm7XdhVV3aywiQ4KrIKJV1Q\nF9EdtSNopAgERLMSStJAIrLCjtXd4Lt/nG/gcLm/cu/3/Pre52Pmzv2ez/fHeX/OPe/v99z3+ZzP\nkSRJgzZvsdqpAiRJkiRJkiRJg7bYaUAkSZIkSZIkSWqNxWpJkiRJkiRJ0shZrJYkSZIkSZIkjZzF\nakmSJEmSJEnSyM37BYuSpPGzZvMNs67bs+UNQ4xEUlvMa0mSJEnLnSOrJUmSJEmSJEkjZ7FakiRJ\nkiRJkjRyFqslSZIkSZIkSSNnsVqSJEmSpDGQZE+SO5PcnmRn03ZckpuS/LD5/YK+7S9OsjvJvUnO\n7Ws/qznO7iQfTZJR9EeSpCNlsVqSJEmSpPHx6qo6s6qmmtubgZur6lTg5uY2SU4DNgCnA+uATyQ5\nutnncuBtwKnNz7ohxi9J0qJZrJYkSZIkaXytB7Y3y9uB8/rar66qX1TVfcBuYG2SE4Fjq+qWqirg\nqr59JEkaaxarJUmSpDGUZHWSryW5O8muJO9u2lubEiDJMUk+17TfmmTNsPsp6SkK+EqS7ybZ1LSd\nUFX7m+UHgROa5VXAA3377m3aVjXL09slSRp7FqslSZKk8XQIeG9VnQacDVzUfOy/zSkBNgKPVNVL\ngMuAjwyjY5Jm9YqqOhN4Hb2cf2X/ymakdLV1Z0k2JdmZZOfBgwfbOqwkSYtmsVqSJEkaQ1W1v6pu\na5YfA+6hNzqyzSkB+o/1eeAcv4hNGp2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      "text/plain": [
       "<matplotlib.figure.Figure at 0x119882ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 2\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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usCZJs2yoMav5JeCONu15uDQ/fBU4OslzW5k8lq7u9hpbmqRFg86ApDnlHGBD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\nsKreMTbLa2xpQjZWSztUkuuBTwHPS3I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KC5JkD6O+Ev9FVf3l2Kxlff8exDnZ3pfeCzxY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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1196f6f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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+JOcD2+l+YP7NnjprgM/iD8yaxeysliRJkgZUVX0RWDbCKtN2SZI0IKpqe5Kh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\nnrf9Zl7Pl4dSrD4sSc4Dzmtv/z7JnX3GM+aZwN/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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d7ebda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 3\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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7WBNwDt1gTZJm2VBjVvMLwB1t2vNwaX74CnBskue2PHk8Xd3tNbY0SYsGnQBJ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\nJGke8c5qSZIkSZIkSdLA2Vg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2NstrbGlCNlZL21SS64BPAM9Osj/JxcDlwEuTPAS8pD2n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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118e7c080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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cfpnu3HolsDHJSuAxumF+qKr7k2wEHmj5r6yqfW11V9CNbX8UcHt7AVwPfCzJ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\nSZIkSZIkqXMmqyVJkiRJkiRJnfv/QCj1HVokr+gAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1171f8b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 4\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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mNb8I3N6mPQ+X5oevAsckeW4rk8fR1d1eY0uTtGjQGZA0p5wFXJ7kNOA+4BSA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\nF/BAVb11bJbX2NKEbKyWtqkk1wEfB56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tSJJdjPpK/LGq+ruxWcv6/j2Ic7K9L70LeKCq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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1180e6438>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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Nsh64r6W/tKr2tM1dQje2/WHAre0FcC3wkSRb6IYSWj4FpybNakleRNdQ/dGq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\nliRJkiRJkiR17v8Dn1XV7MIoDuQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d4865f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.42616666666666664, 2.6696833333333334, 10.6837, 10.699766666666667, 10.700316666666666]\n",
      "[0.05201666666666666, 0.0, 0.0, 0.0, 0.0]\n"
     ]
    }
   ],
   "source": [
    "node_num = 100 #각 은닉층의 노드 수\n",
    "num_layers = 6 # 3개의 은닉층 + 3개의 활성화층\n",
    "num_epochs = 5\n",
    "\n",
    "layers = OrderedDict()\n",
    "\n",
    "for i in range(num_layers):\n",
    "    if i % 2 == 0:\n",
    "        w = np.random.randn(node_num, node_num) / np.sqrt(node_num)\n",
    "        b = np.random.randn(node_num) / np.sqrt(node_num)\n",
    "        layers[i] = Affine(w, b)\n",
    "    else:    \n",
    "        layers[i] = Sigmoid()\n",
    "\n",
    "\n",
    "avg_forward_std, avg_backward_std = activation_value_histogram(layers, num_epochs)\n",
    "avg_forward_std_dic['Xavier'] = avg_forward_std\n",
    "avg_backward_std_dic['Xavier'] = avg_backward_std\n",
    "print(avg_forward_std)\n",
    "print(avg_backward_std)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 5) He Initializer where Standard Deviation is $\\sqrt{2 \\over n}$ ($n$ is the number of neurons in the previous layer)\n",
    "- Weight Distribution: $W \\sim N(0, {2 \\over n})$\n",
    "- Bias Distribution: $B \\sim N(0, {2 \\over n})$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 0\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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6ju8X92yzoS1fC5zZYtJLkiRJkrTf7KyWJGnheA1Pxo5fCtzXs257S1valsem\n77FN6wB/BHjGATxfSZIkSdICYme1JEkLQJI/oJsE9f0zcKzzk2xJsmXXrl0H+nCSJEmSpHnCzmpJ\nkua5JK+im3jxFS20B8AO4LiebMe2tB08GSqkN32PbZIsAo6gm2hxD1W1rqpGqmpk8eLFA7wSSZIk\nSdJ8Zme1JEnzWJKVwBuBF1XV93pWXQ+sTnJwkuOBFcAtVbUTeDTJ6S0e9TnAdT3bnNuWXwJ8uqfz\nW5IkSZKk/bJo2CegA2/5JR8b9ilIkmZAkg8CZwDPTLIdeBOwBjgY+GSbC3FTVb2uqu5IshG4ky48\nyIVVtbvt6gJgPXAIXYzr0TjXVwLvTXIP3USOq2fiuiRJkiRJC4Od1ZIkzRNV9fI+yVdOkH8tsLZP\n+hbg5D7pPwBeuj/nKEmStFA5kEySJjdpGJAk707yYJIv9aRdmmRHktva61d71q1Jck+Su5O8oCf9\n1CS3t3Vvb48W0x4/vqalb06yfLCXKEmSJEmSJEma7aYysno98E7gqjHpb62qP+1NSHIi3SPBJwHH\nAJ9KckJ7rPgK4LXAZuAGYCXdY8XnAQ9X1bOSrAbeDLxs2lckSZIkSQvYZKM3t1121gydifpJ8m66\niY8frKqTW9pRwDXAcmAbcHZVPdzWraH73rwbuKiqPt7ST+XJsF03AG+oqkpyMN3391PpJkJ+WVVt\nm6HLkyRpv0w6srqqPksXl3IqVgFXV9VjVbUVuAc4LcnRwOFVtalNxHQV8OKebTa05WuBM0dHXUuS\nJEmSNM+spxu81esS4OaqWgHc3N6PHRC2Erg8yUFtm9EBYSvaa3SfTwwIA95KNyBMkqQ5YX9iVr8+\nyTnAFuD32l3fpcCmnjzbW9qP2vLYdNrP+wCq6vEkjwDPAL65H+cmSZIkHGEpSbNNVX22T/jLVXST\nJEM3mOszwMX0DAgDtrZJjk9Lso02IAwgyeiAsBvbNpe2fV0LvDNJ2sAxSZJmtUlHVo/jCuCngFOA\nncB/GdgZTSDJ+Um2JNmya9eumTikJEmSJEkH2pKq2tmW7weWtOUnBnc1owO/ljLFAWHA6IAwSZJm\nvWl1VlfVA1W1u6r+HvgL4LS2agdwXE/WY1vajrY8Nn2PbZIsAo6gi6vV77jrqmqkqkYWL148nVOX\nJEmSJGnWaiOgZ2QUtAPCJEmzzbQ6q1sM6lG/DnypLV8PrE5ycJLj6eJm3dLuED+a5PQWj/oc4Lqe\nbc5tyy95v/iHAAAgAElEQVQBPu3jSZIkSZKkBeSB0e/Z7eeDLd0BYZKkBWXSzuokHwQ+Bzw7yfYk\n5wH/OcntSb4I/DPgdwCq6g5gI3AncBNwYVXtbru6AHgX3aSLX6WLpQVwJfCMFnvrd2kTSUiSJEmS\ntED0DuI6lz0HdzkgTJK0YEw6wWJVvbxP8pUT5F8LrO2TvgU4uU/6D4CXTnYekiRJknQgTDYRqTRI\nbUDYGcAzk2wH3gRcBmxsg8PuBc6GbkBYktEBYY+z94Cw9cAhdIPBegeEvbcNCPsWsHoGLkuSpIGY\ntLNakiRJkiQNxjgDwgDOHCe/A8IkSQvGtGJWS5IkSZIkSZI0SHZWS5IkSZIkSZKGzjAgkiRJkiRJ\nktSHc1vMLEdWS5IkSZIkSZKGzs5qSZIkSZIkSdLQ2VktSZIkSZIkSRo6O6slSZIkSZIkSUPnBIuS\nJEkzxMlZJEnSdEz2GWLbZWfN0JlIGhS/G/TnyGpJkiRJkiRJ0tDZWS1JkiRJkiRJGjo7qyVJkiRJ\nkiRJQ2dntSRJkiRJkiRp6OysliRJkiRJkiQN3aJhn4AkSftjohmUnRVdkiRJkqS5w5HVkiRJkiRJ\nkqShc2S1pm2i0YzgiEbNrMn+HyVJkiRJ0vxlv8D84MhqSZIkSZIkSdLQ2VktSdI8keTdSR5M8qWe\ntKOSfDLJV9rPp/esW5PkniR3J3lBT/qpSW5v696eJC394CTXtPTNSZbP5PVJkiRJkuY3w4BI2kuS\ng4AtwI6qemGSo4BrgOXANuDsqnq45V0DnAfsBi6qqo+39FOB9cAhwA3AG6qqZvZKpAVnPfBO4Kqe\ntEuAm6vqsiSXtPcXJzkRWA2cBBwDfCrJCVW1G7gCeC2wma78rgRupCvrD1fVs5KsBt4MvGxGrkyS\nJEnjctJxSfOFI6sl9fMG4K6e96OdXSuAm9t7xnR2rQQubx3d8GRn14r2Wjkzpy4tXFX1WeBbY5JX\nARva8gbgxT3pV1fVY1W1FbgHOC3J0cDhVbWp3WC6asw2o/u6FjhzdNS1JEmSJEn7y85qSXtIcixw\nFvCunuRBdnZJmllLqmpnW74fWNKWlwL39eTb3tKWtuWx6XtsU1WPA48Azzgwpy1JkiRJWmjsrJY0\n1p8BbwT+vidtkJ1dkoak3Tw64OF4kpyfZEuSLbt27TrQh5MkSZIkzRPGrJb0hCQvBB6sqluTnNEv\nT1VVkoF1diU5HzgfYNmyZYParaQnPZDk6Kra2Z56eLCl7wCO68l3bEvb0ZbHpvdusz3JIuAI4KGx\nB6yqdcA6gJGREWPVS9IsY2xbSZI0W9lZLanXPwVelORXgacAhyd5H4Pt7NqDnVrSAXc9cC5wWft5\nXU/6B5K8hW6CxRXALVW1O8mjSU6nm2DxHOAdY/b1OeAlwKedOFUaniRH0oXtOpnuqYnXAHfjpMh7\nmahzVpIkSbOHndWSnlBVa4A1AG1k9e9X1SuT/AmD6+ySdIAk+SBwBvDMJNuBN9GV241JzgPuBc4G\nqKo7kmwE7gQeBy6sqt1tVxfwZMfVje0FcCXw3iT30E3kuHoGLkvS+N4G3FRVL0nyE8ChwL+lmxT5\nsiSX0E2KfPGYSZGPAT6V5IRW7kcnRd5M11m9kifLvSRJ0j7xCR7tj0k7q5O8GxgNDXByS/sT4NeA\nHwJfBV5dVd9Oshy4i25EB8Cmqnpd26bviI0kB9NNvnYq3aPEL6uqbQO6PkmDMcjOLkkHSFW9fJxV\nZ46Tfy2wtk/6FrqRmmPTfwC8dH/OUdJgJDkCeC7wKoCq+iHwwySr6G5aQTcp8meAi+mZFBnY2m46\nnZZkG21S5Lbf0UmRbbclSZI046YyweJ6utEVvT4JnFxVPwv8LW0kZvPVqjqlvV7Xkz46YmNFe43u\n8zzg4ap6FvBW4M37fBWSBq6qPlNVL2zLD1XVmVW1oqqeV1Xf6sm3tqp+uqqeXVU39qRvqaqT27rf\nnm+PE0uSNGTHA7uA9yT5QpJ3JTkMJ0WWJEnSHDZpZ3VVfZbuUd/etE9U1ePt7Sb2jE27lxbj9vCq\n2tQ6rEZHbEA3ymNDW74WODNJpn4JkiRJ0oKzCPh54Iqq+jngu3QhP57QPncPdFLkJFuSbNm1a9eg\nditJkiQ9YSojqyfzGvZ8TPD4JLcl+eskv9TSJhqx8cQoj9YB/gjwjAGclyRJkjRfbQe2V9Xm9v5a\nus7rB9pAkdEBIwOdFLmqRqpqZPHixQO7EEmSJGnUfnVWJ/kDuji1729JO4FlVXUK8Lt0E68dvn+n\nuMfxHM0hSZKkBa+q7gfuS/LslnQm3RwS19NNhgx7T4q8OsnBSY7nyUmRdwKPJjm9Pd14Ts82kiRp\nPyU5Msm1Sb6c5K4k/yTJUUk+meQr7efTe/KvSXJPkruTvKAn/dQkt7d1bzcqgearaXdWJ3kV3cSL\nrxiNRVtVj1XVQ235VrrJF09g4hEbT4zySLIIOIJuosW9OJpDkiRJesLrgfcn+SJwCvAf6SZFfn6S\nrwDPa++pqjuA0UmRb2LvSZHfBdxD9/ndyRUlSRqctwE3VdXPAM8B7qIL3XVzVa0Abm7vSXIisBo4\niW6ut8uTHNT2M95ccNK8smg6GyVZCbwR+OWq+l5P+mLgW1W1O8lP0RWer1XVt5I8muR0YDPdiI13\ntM1GR398DngJ8GknYpMkSZImVlW3ASN9Vp05Tv61wNo+6VuAkwd7dpIkKckRwHOBVwFU1Q+BHyZZ\nBZzRsm0APgNcTDev29VV9RiwNck9wGlJttHmgmv7HZ0LzhvMmncmHVmd5IN0HcnPTrI9yXnAO4Gn\nAZ9s8an/vGV/LvDFJLfRxc17XVWNTs443oiNK4FntAL4u4yZGEaSJEmSpIUgye8kuSPJl5J8MMlT\nDBcgzWnHA7uA9yT5QpJ3JTkMWNJCcQHcDyxpy0/M69aMzvk20VxwezCErua6SUdWV9XL+yRfOU7e\nDwMfHmdd3xEbVfUD4KWTnYckSZIkSfNVkqXARcCJVfX9JBvpwgGcSBcu4LIkl9AN8Lp4TLiAY4BP\nJTmhhfgZDRewGbiBLlyAIzClmbeIbgLk11fV5iRvY8wgzaqqJAOLMFBV64B1ACMjI0Yu0JyzXxMs\nSpIkSZKkgVkEHNLmczoU+AZdWIANbf0Gukf/oSdcQFVtpXuK+bQkR9PCBbQQm1f1bCNpZm0HtlfV\n5vb+WrrO6wdaWaX9fLCtf2Jet2Z0zreJ5oKT5hU7qyVJkiRJGrKq2gH8KfB1YCfwSFV9ggMYLkDS\ngVVV9wP3JXl2SzqTbrLj0fnbaD+va8vXA6uTHJzkeLq54G5pdcCjSU5vYX3O6dlGmlemNcGiJEmS\nJEkanBaLehVdjNtvAx9K8srePIMOF5DkfOB8gGXLlg1qt5L29Hrg/Ul+Avga8Gq6waMb27xw9wJn\nA1TVHS0E0J3A48CFLbQPdHPBrQcOoQvrY2gfzUt2VkuSJEmSNHzPA7ZW1S6AJB8BfoEWLqCqdg46\nXICxbaUDr6puA0b6rDpznPxrgbV90vvOBSfNN4YBkSRJkiRp+L4OnJ7k0PaY/5nAXRguQJK0gDiy\nWpIkSZKkIauqzUmuBT5P9/j/F+hGPT8VwwVIkhYIO6slSZIkSZoFqupNwJvGJD+G4QIkSQuEYUAk\nSZIkSZIkSUNnZ7UkSZIkSZIkaejsrJYkSZIkSZIkDZ2d1ZIkSZIkSZKkobOzWpIkSZIkSZI0dHZW\nS5IkSZIkSZKGzs5qSZIkSZIkSdLQLRr2CUiSJEmSJEmSpmb5JR+bcP22y86aoTMZPDurJUmSFrCJ\nPujO5Q+5kiRJkuYeO6slSZIkSZKayUYsSpIOHDurJUmSJM15di5JkjS/2dYvDE6wKEmSJEmSJEka\nOjurJUmSJEmSJElDZ2e1JEkLQJLfSXJHki8l+WCSpyQ5Ksknk3yl/Xx6T/41Se5JcneSF/Skn5rk\n9rbu7UkynCuSJEmSJM03dlZLkjTPJVkKXASMVNXJwEHAauAS4OaqWgHc3N6T5MS2/iRgJXB5koPa\n7q4AXgusaK+VM3gpkiRJkqR5zM5qSZIWhkXAIUkWAYcC3wBWARva+g3Ai9vyKuDqqnqsqrYC9wCn\nJTkaOLyqNlVVAVf1bCNJkiRJ0n6xs1qSpHmuqnYAfwp8HdgJPFJVnwCWVNXOlu1+YElbXgrc17OL\n7S1taVsem76HJOcn2ZJky65duwZ6LZIkSZKk+WvRsE9AkiQdWC0W9SrgeODbwIeSvLI3T1VVkhrE\n8apqHbAOYGRkZCD7nCuWX/KxYZ+CJEmSJM1ZjqyWJGn+ex6wtap2VdWPgI8AvwA80EJ70H4+2PLv\nAI7r2f7YlrajLY9NlyRJkiRpv006sjrJu4EXAg+2SZlIchRwDbAc2AacXVUPt3VrgPOA3cBFVfXx\nln4qsB44BLgBeEMbxXUwXczLU4GHgJdV1baBXeEC4CguSdIkvg6cnuRQ4PvAmcAW4LvAucBl7ed1\nLf/1wAeSvAU4hm4ixVuqaneSR5OcDmwGzgHeMaNXIkmSJEmat6YSBmQ98E66DuVRlwA3V9VlSS5p\n7y9OciKwGjiJ7svtp5KcUFW7gSuA19J9ub0BWAncSNex/XBVPSvJauDNwMsGcXGSJAmqanOSa4HP\nA48DX6AL0/FUYGOS84B7gbNb/juSbATubPkvbG05wAU8efP5xvaSJM0TEw2E2XbZWTN4JpIkaSGa\ntLO6qj6bZPmY5FXAGW15A/AZ4OKWfnVVPQZsTXIPcFqSbcDhVbUJIMlVwIvpvuCuAi5t+7oWeGeS\nVNWCinEpSdKBVFVvAt40JvkxulHW/fKvBdb2Sd8CnDzwE5QkSZIkLXjTjVm9pKp2tuX7gSVteSlw\nX0++7S1taVsem77HNlX1OPAI8Ix+B01yfpItSbbs2rVrmqcuSZIkSZIkSZpt9nuCxTYCekZGQVfV\nuqoaqaqRxYsXz8QhpQUlyVOS3JLkb5LckeQPW/pRST6Z5Cvt59N7tlmT5J4kdyd5QU/6qUlub+ve\nniTDuCZJkiRJkiTNDdPtrH4gydEA7eeDLX0HcFxPvmNb2o62PDZ9j22SLAKOoJtoUdLMewz451X1\nHOAUYGWbSG00Tv0K4Ob2njFx6lcClyc5qO1rNE79ivZaOZMXIkmSJEmSpLllup3V1wPntuVzget6\n0lcnOTjJ8XQdVLe0kCGPJjm9ja48Z8w2o/t6CfBp41VLw1Gdv2tvf7y9ii62/IaWvoEu5jz0xKmv\nqq3AaJz6o2lx6lt5vqpnG0mSJEmSJGkvk06wmOSDdJMpPjPJdrrJmS4DNiY5D7gXOBugqu5IshG4\nE3gcuLCqdrddXQCsBw6hm1jxxpZ+JfDeNhnjt+hGaUoakjYy+lbgWcB/rarNSSaKU7+pZ/PRePQ/\nYvw49WOPdz5wPsCyZcsGdRmSJEmSJEmaYybtrK6ql4+z6sxx8q8F1vZJ3wKc3Cf9B8BLJzsPSTOj\n3WA6JcmRwEeTnDxmfSUZ2NMPVbUOWAcwMjLiUxWSJEmSJEkL1H5PsChpfqqqbwP/H12s6UHGqZck\nSZIkSZL2Yme1pCckWdxGVJPkEOD5wJcZbJx6SZIkSZIkaS+ThgGRtKAcDWxocat/DNhYVX+V5HMM\nLk69JEmSJEmStBc7qyU9oaq+CPxcn/SHGFCcekmSJEmSJKkfw4BIkiRJkiRJkobOzmpJkiRJkmaB\nJEcmuTbJl5PcleSfJDkqySeTfKX9fHpP/jVJ7klyd5IX9KSfmuT2tu7tbR4ZSZJmPTurJUmSJEma\nHd4G3FRVPwM8B7gLuAS4uapWADe39yQ5EVgNnASsBC5vc88AXAG8lm4C9BVtvSRJs56d1ZIkSZIk\nDVmSI4DnAlcCVNUPq+rbwCpgQ8u2AXhxW14FXF1Vj1XVVuAe4LQkRwOHV9Wmqirgqp5tJEma1eys\nliRJkiRp+I4HdgHvSfKFJO9KchiwpKp2tjz3A0va8lLgvp7tt7e0pW15bLokSbOendWSJEmSJA3f\nIuDngSuq6ueA79JCfoxqI6VrUAdMcn6SLUm27Nq1a1C7lSRp2hYN+wQkSZIkSRLbge1Vtbm9v5au\ns/qBJEdX1c4W4uPBtn4HcFzP9se2tB1teWz6XqpqHbAOYGRkZGCd4DNl+SUfG3fdtsvOmsEzkSQN\niiOrJUmSJEkasqq6H7gvybNb0pnAncD1wLkt7VzgurZ8PbA6ycFJjqebSPGWFjLk0SSnJwlwTs82\nkiTNao6sliRJkiRpdng98P4kPwF8DXg13SCzjUnOA+4FzgaoqjuSbKTr0H4cuLCqdrf9XACsBw4B\nbmwvSZJmPTurJUmSpDkqyUHAFmBHVb0wyVHANcByYBtwdlU93PKuAc4DdgMXVdXHW/qpPNmpdQPw\nhhYXV9IMq6rbgJE+q84cJ/9aYG2f9C3AyYM9O0mSDjzDgEiSJElz1xuAu3reXwLcXFUrgJvbe5Kc\nCKwGTgJWApe3jm6AK4DX0oUQWNHWS5IkSTPOzmpJkiRpDkpyLHAW8K6e5FXAhra8AXhxT/rVVfVY\nVW0F7gFOa5O1HV5Vm9po6qt6tpEkSZJmlGFAdMA4M7MkSdIB9WfAG4Gn9aQtaZOrAdwPLGnLS4FN\nPfm2t7QfteWx6XtJcj5wPsCyZcv299wlSVowDNslTZ0jqyVJkqQ5JskLgQer6tbx8rQvsAP7EltV\n66pqpKpGFi9ePKjdSpK0EBi2S5oiO6slSZKkueefAi9Ksg24GvjnSd4HPNBCe9B+Ptjy7wCO69n+\n2Ja2oy2PTZckSQNg2C5p3xgGRJIkSZpjqmoNsAYgyRnA71fVK5P8CXAucFn7eV3b5HrgA0neAhxD\nNyLrlqraneTRJKcDm4FzgHfM6MVM0UQh5iRJmsVmNGyXNNc5slqSJEmaPy4Dnp/kK8Dz2nuq6g5g\nI3AncBNwYVXtbttcQDfa6x7gq8CNM33SkiTNR8MI25Xk/CRbkmzZtWvXoHYrzRhHVkuStAAkOZKu\nM+pkug/DrwHuxoldpDmvqj4DfKYtPwScOU6+tcDaPulb6OoGSZI0WKNhu34VeApweG/YrqraOeiw\nXVW1DlgHMDIy4ud0zTmOrJYkaWF4G3BTVf0M8By6CV6c2EWSJEk6QKpqTVUdW1XL6T5ff7qqXkkX\nnuvclm1s2K7VSQ5OcjxPhu3aCTya5PQkoQvbdR3SPGRntSRJ81ySI4DnAlcCVNUPq+rbOLGLJEmS\nNAyG7ZLGYRgQSZLmv+OBXcB7kjwHuBV4A07sIkmSJM0Iw3ZJUzPtkdVJnp3ktp7Xo0n+dZJLk+zo\nSf/Vnm3WJLknyd1JXtCTfmqS29u6t7dHGiRJ0mAsAn4euKKqfg74Li3kx6hBTuzipC6SJEmSpOmY\ndmd1Vd1dVadU1SnAqcD3gI+21W8dXVdVN4DxLyVJGqLtwPaq2tzeX0vXef1AC+3BICd2qap1VTVS\nVSOLFy8e6IVIkiRJkuavQcWsPhP4alXdO0Ee419KkjQEVXU/cF+SZ7ekM+ni4DmxiyRJkiRp1hhU\nzOrVwAd73r8+yTnAFuD3quphjH8pSdIwvR54f5KfAL4GvJrupvXGJOcB9wJnQzexS5LRiV0eZ++J\nXdYDh9BN6uLELpIkSdICsvySjw37FDSP7XdndfvS+yJgTUu6AvgPdHEv/wPwX4DX7O9x2rHOB84H\nWLZs2SB2KUnSglBVtwEjfVY5sYskSZKkWcGOcA0iDMivAJ+vqgcAquqBqtpdVX8P/AVwWsu3X/Ev\n276NgSlJkiRJkiRJ89AgOqtfTk8IkNGJmppfB77Ulo1/KUmSJEmSJEnqa7/CgCQ5DHg+8H/3JP/n\nJKfQhQHZNrrO+JeSJEmSJEmSpPHsV2d1VX0XeMaYtN+cIL/xLyVJkiRJkiRJexlEGBBJkiRJkiRJ\nkvbLfo2sliRJWmicoVySJEmSDgw7qyVJkiRJk5rsZt22y86aoTORJM1VDvzQZAwDIkmSJEmSJEka\nOjur9X/au/9Yu+v7vuPPV4FQVqCB4bjEP2Y2OdsALT/wqFWijZakuJAGImXI2Qq0RbgdNCFStmBS\nqY0UITnbmiVpB5MLCFBJCFpI8RoIBRKWZZ0hBtGA7VCc4BR7BtM0KrSdWG3e++N8nBxf+9r3x7nn\ne+65z4d0dL/n8/1x3ufe7+e+z/dzPp/PV5IkSZIkSZI65zQgkqSx5XBlSZIkTeQ0BJI0umyslnSQ\nJMuAO4HFQAEbq+ozSU4FvgCsAHYCl1XVD9o+NwBXAfuBD1XVg638HOB24ATgfuC6qqphvh9J0sz5\nhY8kSZKkYXIaEEkT7QM+UlVnAquBa5OcCawHHqmqlcAj7Tlt3VrgLGANcFOSY9qxbgauBla2x5ph\nvhFJkiRJkiTNHzZWSzpIVe2pqifb8qvAdmAJcAlwR9vsDuDStnwJcHdVvVZVzwM7gHOTnA6cXFWb\nW2/qO/v2kSRJkiRJkg5iY7WkSSVZAbwdeAxYXFV72qoX6U0TAr2G7Bf6dtvVypa05YnlkiRJkiRJ\n0iGcs1rSYSU5Efgi8OGqeiXJD9dVVSUZyNzTSdYB6wCWL19+xG29EYokSZIkSdL4sme1pEMkOY5e\nQ/VdVXVvK36pTe1B+7m3le8GlvXtvrSV7W7LE8sPUlUbq2pVVa1atGjRYN+IJEmSJEmS5g0bqyUd\nJL0u1LcC26vqU32rNgFXtuUrgfv6ytcmOT7JGfRupPh4mzLklSSr2zGv6NtHkiRJkiRJOojTgEia\n6DzgcuDpJE+1so8BG4B7klwFfA+4DKCqtia5B9gG7AOurar9bb9rgNuBE4AH2kOSJEnSJJIcA2wB\ndlfVe5KcCnwBWAHsBC6rqh+0bW8ArgL2Ax+qqgdb+Tn86HP4/cB17abnkqQF4EjTqO7ccPEQI5k+\nG6slHaSqvgFkktUXTLLPjcCNhynfApw9uOgkSZKksXcdsB04uT1fDzxSVRuSrG/Pr09yJrAWOAt4\nM/Bwkre0jiM3A1fTu1H6/cAa7DgiSZoHnAZEkiRJkqQRkGQpcDFwS1/xJcAdbfkO4NK+8rur6rWq\neh7YAZzb7i9zclVtbr2p7+zbR5KkkWbPakmSJEmSRsOngY8CJ/WVLW73gwF4EVjclpcAm/u229XK\n/q4tTyw/RJJ1wDqA5cuXzzZ2jagjTQcAoz8lgKTBGvX/CfasliRJkiSpY0neA+ytqicm26b1lB7Y\n3NNVtbGqVlXVqkWLFg3qsJIkzZg9qyVJkiRJ6t55wHuTXAT8OHBykj8AXkpyelXtaVN87G3b7waW\n9e2/tJXtbssTyyVJGnn2rJYkSZIkqWNVdUNVLa2qFfRunPjVqvolYBNwZdvsSuC+trwJWJvk+CRn\nACuBx9uUIa8kWZ0kwBV9+0iSNNLsWS1JkiRJ0ujaANyT5Crge8BlAFW1Nck9wDZgH3BtVe1v+1wD\n3A6cADzQHpIkjTwbqyVJkiRJGiFV9SjwaFv+PnDBJNvdCNx4mPItwNlzF6EkSXPDxup54mh36pQk\nSZIkSZKk+czGakmSFoAkxwBbgN1V9Z4kpwJfAFYAO4HLquoHbdsbgKuA/cCHqurBVn4OPxpSfD9w\nXVXVcN+JJEnS0dnhS5LmJ2+wKEnSwnAdsL3v+XrgkapaCTzSnpPkTHo3dToLWAPc1Bq6AW4GrqZ3\nA6eVbb0kSZIkSQNhY7UkSWMuyVLgYuCWvuJLgDva8h3ApX3ld1fVa1X1PLADODfJ6cDJVbW59aa+\ns28fSZIkSZJmbVaN1Ul2Jnk6yVNJtrSyU5M8lOS59vOUvu1vSLIjybNJLuwrP6cdZ0eSzybJbOKS\nJEkH+TTwUeD1vrLFVbWnLb8ILG7LS4AX+rbb1cqWtOWJ5ZIkSZIkDcQgelb/bFW9rapWtecOK5Yk\naUQkeQ+wt6qemGyb1lN6YHNPJ1mXZEuSLS+//PKgDitJkiRJGnNzcYPFS4Dz2/IdwKPA9fQNKwae\nT3JgWPFO2rBigCQHhhU/MAexSZK00JwHvDfJRcCPAycn+QPgpSSnV9WeNsXH3rb9bmBZ3/5LW9nu\ntjyx/BBVtRHYCLBq1SpvwChJkmbEmyRK0sIz257VBTyc5Ikk61qZw4olSRoRVXVDVS2tqhX0Rjh9\ntap+CdgEXNk2uxK4ry1vAtYmOT7JGfRGPD3ecvsrSVa36bqu6NtHkiRJkqRZm23P6ndW1e4kbwIe\nSvLt/pVVVUkGOqwYWAewfPnyQR1WkqSFaANwT5KrgO8BlwFU1dYk9wDbgH3AtVW1v+1zDXA7cAK9\nEVCOgpIkSZIkDcysGquranf7uTfJl4BzcVixJEkjqaoepTc9F1X1feCCSba7EbjxMOVbgLPnLkJJ\nkiRJ0kI242lAkvxEkpMOLAM/DzyDw4olSZIkSZIkSdM0m57Vi4Ev9dqXORb4XFV9Jck3cVixJEmS\nJEmSJGkaZtxYXVXfBd56mHKHFUuSJEmSJEmSpmW2N1iUJEmSpIFYsf7LXYcgSZKkDs14zmpJkiRJ\nkiRJkgbFxmpJkiRpnkmyLMnXkmxLsjXJda381CQPJXmu/Tylb58bkuxI8mySC/vKz0nydFv32XbT\nc0mSJGnobKyWJEmS5p99wEeq6kxgNXBtkjOB9cAjVbUSeKQ9p61bC5wFrAFuSnJMO9bNwNXAyvZY\nM8w3IkmSJB3gnNWSJEnSPFNVe4A9bfnVJNuBJcAlwPltszuAR4HrW/ndVfUa8HySHcC5SXYCJ1fV\nZoAkdwKXAg8M7c1obBxpzvGdGy4eYiSSNBqSLAPuBBYDBWysqs8kORX4ArAC2AlcVlU/aPvcAFwF\n7Ac+VFUPtvJzgNuBE4D7geuqqob5fqRhsLFakiRJmseSrADeDjwGLG4N2QAv0rs4hl5D9ua+3Xa1\nsr9ryxPLJUkLhF80zakDI6GeTHIS8ESSh4BfpjcSakOS9fRGQl0/YSTUm4GHk7ylqvbzo5FQj9Fr\nrDd6go0AABLJSURBVF6DXy5rDNlYrU6YDCVJkmYvyYnAF4EPV9Ur/dNNV1UlGViPqyTrgHUAy5cv\nH9RhJUkaW46EkqbPxmpJkiRpHkpyHL2G6ruq6t5W/FKS06tqT5LTgb2tfDewrG/3pa1sd1ueWH6I\nqtoIbARYtWqVw44lSZoGR0Jpvui6g6k3WJQkSZLmmfS6UN8KbK+qT/Wt2gRc2ZavBO7rK1+b5Pgk\nZ9C7keLj7UL5lSSr2zGv6NtHkiQNwMSRUP3r2rzTAx0JlWRLki0vv/zyoA4rDY09qyVJkvocqSeB\nNELOAy4Hnk7yVCv7GLABuCfJVcD3gMsAqmprknuAbfTmz7y2zX8JcA0/umHTAzikWJKkgXEklDQ9\nNlZLkiRJ80xVfQPIJKsvmGSfG4EbD1O+BTh7cNFJkiSY0kioDRw6EupzST5F7waLB0ZC7U/ySpLV\n9KYRuQL43SG9DWmobKyWJEmSJEmSBs+RUNI02VgtSZIkSZIkDZgjoaTps7FakiRJkiRJhzjavTx2\nbrh4SJFIWihsrJYkSdKMHOkC1otXSZIkSdP1Y10HIEmSJEmSJEmSjdWSDpLktiR7kzzTV3ZqkoeS\nPNd+ntK37oYkO5I8m+TCvvJzkjzd1n223QVZkiRJkiRJOiwbqyVNdDuwZkLZeuCRqloJPNKek+RM\nYC1wVtvnpiTHtH1uBq4GVrbHxGNKkiRJkiRJP2RjtaSDVNXXgb+cUHwJcEdbvgO4tK/87qp6raqe\nB3YA5yY5HTi5qjZXVQF39u0jSZIkSZIkHcLGaklTsbiq9rTlF4HFbXkJ8ELfdrta2ZK2PLFckiRJ\n0mEkWZbka0m2Jdma5LpW7pR8kqQFw8ZqSdPSekrXoI6XZF2SLUm2vPzyy4M6rCRJkjTf7AM+UlVn\nAquBa9u0e07JJ0laMGysljQVL7WpPWg/97by3cCyvu2WtrLdbXli+SGqamNVraqqVYsWLRp44JIk\nSdJ8UFV7qurJtvwqsJ3e6ESn5JMkLRg2Vkuaik3AlW35SuC+vvK1SY5Pcga9XhuPtylDXkmyug05\nvKJvH0mSJElHkGQF8HbgMZyST5K0gBzbdQCSRkuSzwPnA6cl2QX8NrABuCfJVcD3gMsAqmprknuA\nbfSGLV5bVfvboa4BbgdOAB5oD0mSJElHkORE4IvAh6vqlf7ppquqkgx0Sj5gHcDy5csHdVhJkmbM\nxmpJB6mqD0yy6oJJtr8RuPEw5VuAswcYmiRJkjTWkhxHr6H6rqq6txW/lOT0qtozF1PyARsBVq1a\nNbBGcEmSZsppQCRJGnNJliX5WpJtSbYmua6Vn5rkoSTPtZ+n9O1zQ5IdSZ5NcmFf+TlJnm7rPpv+\n7l6SJGnGWk69FdheVZ/qW+WUfJKkBWPGjdVHuPD9eJLdSZ5qj4v69vHCV5Kk4dsHfKSqzgRWA9cm\nORNYDzxSVSuBR9pz2rq1wFnAGuCmJMe0Y90MXE3vgnhlWy9JkmbvPOBy4OcmXE9vAN6d5DngXe05\nVbUVODAl31c4dEq+W+jddPE7OCWfJGmemM00IAcufJ9MchLwRJKH2rr/XFX/qX/jCRe+bwYeTvKW\nlkwPXPg+BtxP78LXZCpJ0gC0HlZ72vKrSbbTu9HSJfTmqAe4A3gUuL6V311VrwHPJ9kBnJtkJ3By\nVW0GSHIncCnmbEmSZq2qvgFM1nHLKfkkSQvCjHtWV9WeqnqyLb8KHLjwncwPL3yr6nl63/Ce2+bc\nOrmqNldVAQcufCVJ0oAlWQG8nd4XxItbQzbAi8DitrwEeKFvt12tbElbnlg+8TXWJdmSZMvLL788\n0PglSZIkSeNrIHNWT7jwBfhgkm8lua1v/stZXfhKkqTZSXIivZs2fbiqXulf174wHsiNlapqY1Wt\nqqpVixYtGsQhJUmSJEkLwGymAQEOvfBNcjPwCXoXvJ8Afgf41dm+TnutdcA6gOXLlw/ikCNjxfov\ndx2CJGmMJTmOXr6+q6rubcUvJTm9qva0kU57W/luYFnf7ktb2e62PLFckiRJkqRZm1XP6sNd+FbV\nS1W1v6peB34fOLdtPusLX3tqSZI0fe3GxbcC26vqU32rNgFXtuUrgfv6ytcmOT7JGfRupPh4mzLk\nlSSr2zGv6NtHkiRJkqRZmXFj9WQXvq1n1gHvA55py174SpLUjfOAy4GfS/JUe1wEbADeneQ54F3t\nOVW1FbgH2AZ8Bbi23RAZ4BrgFnr3nvgO3lxRkiRJkjQgs5kG5MCF79NJnmplHwM+kORt9KYB2Qn8\nGvQufJMcuPDdx6EXvrcDJ9C76PXCV5KkAamqbwCZZPUFk+xzI3DjYcq3AGcPLjpJkiRJknpm3Fh9\nhAvf+4+wjxe+kiRJkiRJkqRDzGrOakmSJEmSJEmSBsHGakmSJEmSJElS52ysliRJkiRJkiR1zsZq\nSZIkSZIkSVLnZnyDRUmSJEmSJEnzz4r1Xz7i+p0bLh5SJNLBbKyWJEkLztE+nEuSJEmShs/Gao0c\nv92TJEkaX35ZtDD5GV+SJE2FjdWSJEkaOBumJEmSJE2XN1iUJEmSJEmSJHXOxmpJkiRJkiRJUuds\nrJYkSZIkSZIkdc7GakmSJEmSJElS52ysliRJkiRJkiR1zsZqSZIkSZIkSVLnju06AEmSJEmStDCt\nWP/lrkOQJI0QG6slSZIkSZI0bUf6smHnhouHGImkcWFjtSRJkiRJmjEbLCVJg2Jj9RA5vEmSJEmS\nJEmjzjYsdcUbLEqSJEmSJEmSOmdjtSRJkiRJkiSpczZWS5IkSZIkSZI655zVkiRp7DjHniRJkiTN\nPzZWa97xTtOSJM1/5nNJkiRJE9lYLUmSJEmSJEk6oqONYB1EpxPnrJYkSZIkSZIkdc7GakmSJEmS\nJElS50ZmGpAka4DPAMcAt1TVho5DmjZv5iQdahzqtqSDWa+l8TPIeu1nYs2E89gP3qjUa/8nSIPj\n53AtBCPRWJ3kGOC/AO8GdgHfTLKpqrZ1G5nmm2HMnaOps25L42eU6rUXv9JgjFK9ljQY1mtp/Fiv\ntVCMRGM1cC6wo6q+C5DkbuASwAonzW/WbWn8WK815/zyeeis19L4sV5L48d6rQVhVBqrlwAv9D3f\nBfx0R7Eckb245jeHFw7dvKnbkqZsaPXanKvJmM8HznwtjR/rtTpnvh4467UWhFFprJ6SJOuAde3p\nXyd5tsNwTgP+osPXn2sL7v3lk7M63j+Y1d4L2DTr9Siel8Y0dSMXVz55xJis1zM0Yvn6cEbuXJyF\ncXkvA3sfU8jn1u0ZmlC3X0vyTJfxMDrn/yjEMdYxWK/nTkc5u+vztevXNwZ+WK/9LD4HRuiz+Cic\n5xMZ09TMOKaj5Owp1etRaazeDSzre760lR2kqjYCG4cV1JEk2VJVq7qOY674/jQgR63b06nXo/h3\nM6apG8W4RjGmeWCg9boL4/R3H5f3Mi7vYx6b9mfxUfibjUIMoxKHMegwRvYau+tzpevXN4bRimGe\nGdl6fTij+Pc1pqnpOqYf6+qFJ/gmsDLJGUneAKwFNnUck6TZs25L48d6LY0f67U0fqzX0vixXmtB\nGIme1VW1L8lvAA8CxwC3VdXWjsOSNEvWbWn8WK+l8WO9lsaP9VoaP9ZrLRQj0VgNUFX3A/d3Hcc0\ndD6kYo75/jQQA67bo/h3M6apG8W4RjGmkTcPc/ZE4/R3H5f3Mi7vY96aQb0ehb/ZKMQAoxGHMegQ\nI5yvuz5Xun59MIYDRiGGeWWE6/XhjOLf15imptOYUlVdvr4kSZIkSZIkSSMzZ7UkSZIkSZIkaQGz\nsXoWknw8ye4kT7XHRV3HNAhJ1iR5NsmOJOu7jmfQkuxM8nT7m23pOh4d/ZxLz2fb+m8lecdU953D\nmP5Ni+XpJH+S5K196+bsHJtCXOcn+au+/0u/NdV95zCmf98XzzNJ9ic5ta2bk99VktuS7E3yzCTr\nh35OabQk+Y9Jvt3+/l9K8sauY5qOcTlPkyxL8rUk25JsTXJd1zHpYLPJ0UOMYdKcPKwY+rb750n2\nJXl/FzG0zwFPtfr0PwYdw1TiSPKTSf57kj9tcfzKXMSh+WsUcnCSf9XOz9eTrBrya3eaw4/2OXlI\nMZj/x8go5OnpxtS33Zzl7ZnENIw8Pp2YOsvpVeVjhg/g48C/6zqOAb+nY4DvAP8QeAPwp8CZXcc1\n4Pe4Ezit6zh8/PDvcdRzDrgIeAAIsBp4bKr7zmFMPwOc0pZ/4UBMc3mOTTGu84E/msm+cxXThO1/\nEfjqEH5X/wJ4B/DMJOuHek75GL0H8PPAsW35k8Anu45pGrGPzXkKnA68oy2fBPzZfH0v4/iYTY4e\ncgyT5uRhxdC33VfpzSX6/g5+D28EtgHL2/M3dXROfOzA/1RgEfCXwBu6Pp99jM5jFHIw8E+Bfww8\nCqwa4ut2nsOP9jl5SDGY/8fkMQp5eiYx9W03J3l7hr+nOc/jM4ipk5xuz2pNdC6wo6q+W1X/D7gb\nuKTjmDTepnLOXQLcWT2bgTcmOX2K+85JTFX1J1X1g/Z0M7B0AK8767jmaN9BHvcDwOcH8LpHVFVf\np5dIJzPsc0ojpqr+uKr2tafDqsODMjbnaVXtqaon2/KrwHZgSbdRqc9scvTQYhhCTp5qnfsg8EVg\n74Bff6ox/Gvg3qr6c4Cq6iqOAk5KEuBEevl4H1IzCjm4qrZX1bPDfl1GIIdP4XPyMGIw/4+PUcjT\n046pmcu8PZOYhpHHpxtTJzndxurZ+2AbznBbklO6DmYAlgAv9D3fxfgljQIeTvJEknVdB6MpnXOT\nbTNX5+t0j3sVvV5lB8zVOTbVuH6m/V96IMlZ09x3rmIiyd8D1tD7QHBAV/Vx2OeURtuvcnAdHnVj\neZ4mWQG8HXis20jUZzY5epgx9JuYk4cSQ5IlwPuAmwf82lOOAXgLcEqSR1tevaKjOH6PXq/V/wM8\nDVxXVa/PQSwaD/MtB8/WWObw2TD/z3ujkKcnGoW8Pe2YGE4en25MneT0Y+f6Bea7JA8DP3WYVb9J\n76T+BL3Glk8Av0Mv2Wq0vbOqdid5E/BQkm+3b5elaUvys/QS7jv7irs8x56kN2zor9ObR/8PgZVD\neu2j+UXgf1VVf08O66PmzJFyeFXd17b5TXq9A+4aZmw6WJIT6X2R9eGqeqXreDQ/TZKTh+XTwPVV\n9Xqv81EnjgXOAS4ATgD+d5LNVfVnQ47jQuAp4OeAf0Qvv/9P6/bCMgo5eCoxqFvm/4Wl4zw90Sjk\n7YlGJY/36ySn21h9FFX1rqlsl+T3gT+a43CGYTewrO/50lY2Nqpqd/u5N8mX6A19sHGsO1M55ybb\n5rgp7DtXMZHknwG3AL9QVd8/UD6H59hR4+pPGlV1f5Kbkpw2lX3nKqY+a5kwBUiH9XHY55Q6cLQc\nnuSXgfcAF1T1JmKbJ8YqVyc5jt6F6l1VdW/X8eggs8nRw4xh0pw8xBhWAXe3C97TgIuS7KuqPxxi\nDLuA71fV3wB/k+TrwFvpzQU7KFOJ41eADe3/6o4kzwP/BHh8gHFoxI1CDp7qtfyQjVUOnw3z/9gY\nhTw9k5jmOm/PJKZh5PHpxtRJTncakFmYMB/f+4DO7qY7QN8EViY5I8kb6DUubeo4poFJ8hNJTjqw\nTO/mHuPwd5vPpnLObQKuSM9q4K+qas8U952TmJIsB+4FLu//pnOOz7GpxPVTbT4pkpxL7//896ey\n71zF1GL5SeBfAvf1lXVZH4d9TmnEJFkDfBR4b1X9bdfxTNPYnKft/9WtwPaq+lTX8egQs8nRQ4th\nspw8zBiq6oyqWlFVK4D/Blwz4Aveqfwt7gPemeTY9Kbe+ml688AO0lTi+HN6vcJIspjeTey+O+A4\nNI/N8xw8W2OTw2fD/D9WRiFPTzumIeTtacfEcPL4dGPqJKfbs3p2/kOSt9GbBmQn8GvdhjN7VbUv\nyW8AD9K7M+htVbW147AGaTHwpdaWdyzwuar6SrchLWyTnXNJfr2t/6/07s57EbAD+Ft63+7N2fk6\nxZh+C/j7wE3tfNpXVauYw3NsinG9H/i3SfYB/xdY274F7fJ3Bb0v9P64fUt8wJz9rpJ8HjgfOC3J\nLuC36fWa7uSc0kj6PeB4ekPZADZX1a93G9LUjNl5eh5wOfB0kqda2ceq6v4OY1Izmxw95Bgmy8nD\njGFOTSWGqtqe5CvAt4DXgVuqaqBfAk/xd/EJ4PYkTwOhN8z6LwYZh+a9znNwkvcBvwssAr6c5Kmq\nunCuX3cUcvjhPidX1a3DjAHz/9gYhTw9w5iGalTy+HRjoqOcnvk16lWSJEmSJEmSNI6cBkSSJEmS\nJEmS1DkbqyVJkiRJkiRJnbOxWpIkSZIkSZLUORurJUmSJEmSJEmds7FakiRJkiRJktQ5G6slSZIk\nSZIkSZ2zsVqSJEmSJEmS1DkbqyVJkiRJkiRJnfv/i1JhaNjFiNAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117f14780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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2Au8F1k7UwUmSJEmSNMNsAFb1la0FbqmqZcAt7T1JjgXWAMe1ZS5Nsl9b5jLg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\n6pr63/IffQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119cba828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 1\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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k+hlK4CkLOVzAstXXDvsSNM+ME7oL4JRxtjd0lyRJkiRpzrBntaTdVNUDwP1J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\nYcMoX4skSZIkaYqZrJYkaYpV1aVVtbG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SJGntmNpktSRJkqT+WelFJePsQbeaC10Wimuc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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118ccd128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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VzgenOcee1ZIkSZIkSdLe+1NgZZIfb3GkVwEPArcAa1qeNcDn2/otwOok+yU5\nhm4ixbtbyJAdSVa2/Zw9okxvX2cCd7be2tK8Ys9qSZIkSZIkaS9V1YYkNwLfBHYC36Lr3XwAsD7J\nOcDjwDtb/k1J1gMPtPznV9WutrvzgGuA/YHb2gJwNfCZJJuBZ4HVA7g0aeBsrJYkSZIkSZKmoKo+\nBnxsRPKLdL2sR8u/Flg7SvpG4MRR0l8Azpr6mUqzm2FAJEmSJEmSJElDZ2O1JEmSJEkDkuTTSZ5O\ncn9f2sVJtia5py1v7tt2UZLNSR5Kclpf+slJ7mvbLm/xbWkxcG9o6RuSLB3k9UmSNBU2VkuSJEmS\nNDjXAKePkn5ZVS1vy60ASY6ni0t7QitzRZJ9Wv4rgffRTcy2rG+f5wDPVdWxwGXAx2fqQiRJmm42\nVkuSJEmSNCBV9VW6ydEm4wzg+qp6saoeBTYDpyQ5Ajiwqu6qqgKuBd7eV2ZdW78RWNXrdS1J0mxn\nY7UkSZIkScP3/iT3tjAhh7S0JcATfXm2tLQlbX1k+m5lqmon8Dxw2EyeuCRJ08XGakmSJEmShutK\n4LXAcmAb8IlBHDTJuUk2Jtm4ffv2QRxSkqRx2VgtLUBJXpnk7iR/nGRTkl9t6YcmuT3Jw+3zkL4y\nTuwiSZIkzYCqeqqqdlXVD4FPAqe0TVuBo/qyHtnStrb1kem7lUmyCDgIeGaM415VVSuqasXixYun\n63IkSdprNlZLC9OLwBur6qfoem+cnmQlcCFwR1UtA+5o353YRZIkSZpBLQZ1zzuA+9v6LcDq1hHk\nGLrf23dX1TZgR5KVrbPI2cDn+8qsaetnAne2uNaSJM16i4Z9ApIGr/1Y/fP2dd+2FN1kLG9o6euA\nrwAfoW9iF+DRJL2JXR6jTewCkKQ3scttrczFbV83Ar+dJP5QliRJ0kKW5HN0v7lfnWQL8DHgDUmW\n0/0mfwz4BYCq2pRkPfAAsBM4v6p2tV2dB1wD7E/3+/u2ln418Jn2m/1Zuk4nkiTNCTZWSwtU6xn9\nDeBY4D9W1YYkh7deGgBPAoe39SXAXX3FexO4/IBJTuySpDexy3dn4HIkSZKkOaGq3j1K8tXj5F8L\nrB0lfSNw4ijpLwBnTeUcJUkaFsOASAtUi4m3nC6+3SlJThyxveh6dswoJ3WRJEmSJEkS2FgtLXhV\n9T3gy3Sxpp/qxctrn0+3bDM2sYuTukiSJEmSJAlsrJYWpCSLkxzc1vcH3gR8m90nY1nD7pO0OLGL\nJEmSJEnt20w+AAAgAElEQVSSZowxq6WF6QhgXYtb/WPA+qr6QpKvA+uTnAM8DrwTnNhFkiRJkiRJ\nM8/GamkBqqp7gZNGSX8GWDVGGSd2kSRJkiRJ0owxDIgkSfNAkqOSfDnJA0k2JbmgpV+cZGuSe9ry\n5r4yFyXZnOShJKf1pZ+c5L627fIW5ocWCuiGlr4hydJBX6ckSZIkaf6ysVqSpPlhJ/DhqjoeWAmc\nn+T4tu2yqlrellsB2rbVwAl0E6xe0UIDAVwJvI8uPv2yth3gHOC5qjoWuAz4+ACuS5IkSZK0QNhY\nLUnSPFBV26rqm239+8CDwJJxipwBXF9VL1bVo8Bm4JQkRwAHVtVdbVLUa4G395VZ19ZvBFb1el1L\nkiRJkjRVNlZLkjTPtPAcJwEbWtL7k9yb5NNJDmlpS4An+optaWlL2vrI9N3KVNVO4HngsFGOf26S\njUk2bt++fVquSZIkSZI0/9lYLUnSPJLkAOAm4INVtYMupMdrgeXANuATM30OVXVVVa2oqhWLFy+e\n6cNJkiRJkuYJG6slSZonkuxL11B9XVXdDFBVT1XVrqr6IfBJ4JSWfStwVF/xI1va1rY+Mn23MkkW\nAQcBz8zM1UiSJEmSFhobqyVJmgda7OirgQer6tK+9CP6sr0DuL+t3wKsTrJfkmPoJlK8u6q2ATuS\nrGz7PBv4fF+ZNW39TODOFtdakiRJkqQpWzTsE5AkSdPi9cB7gfuS3NPSPgq8O8lyoIDHgF8AqKpN\nSdYDDwA7gfOralcrdx5wDbA/cFtboGsM/0ySzcCzwOoZviZJkiRJ0gJiY7UkSfNAVX0NyCibbh2n\nzFpg7SjpG4ETR0l/AThrCqcpSZIkSdKYDAMiSZIkSZIkSRo6G6slSZIkSZIkSUNnY7UkSZIkSZIk\naehsrJYkSZIkSZIkDZ2N1ZIkSZIkSZKkoZuwsTrJUUm+nOSBJJuSXNDSD01ye5KH2+chfWUuSrI5\nyUNJTutLPznJfW3b5UnS0vdLckNL35Bk6fRfqiRJkiRJkiRptppMz+qdwIer6nhgJXB+kuOBC4E7\nqmoZcEf7Ttu2GjgBOB24Isk+bV9XAu8DlrXl9JZ+DvBcVR0LXAZ8fBquTZIkSZIkSZI0R0zYWF1V\n26rqm239+8CDwBLgDGBdy7YOeHtbPwO4vqperKpHgc3AKUmOAA6sqruqqoBrR5Tp7etGYFWv17Uk\nSZK0UCU5OMmNSb6d5MEkf98RjpIkSZqvFu1J5vbj9SRgA3B4VW1rm54EDm/rS4C7+optaWk/aOsj\n03tlngCoqp1JngcOA7474vjnAucCHH300Xty6pIkSdJc9JvAl6rqzCSvAH4c+CjdCMdLklxIN8Lx\nIyNGOL4G+KMkr6uqXbw0wnEDcCvdCMfb6BvhmGQ13QjHdw32EiVp7yy98ItjbnvskrcM8EwkSdNl\n0hMsJjkAuAn4YFXt6N/WekrXNJ/by1TVVVW1oqpWLF68eKYPJ0mSJA1NkoOAnwGuBqiqv66q7+EI\nR0mSJM1Tk2qsTrIvXUP1dVV1c0t+qv3wpX0+3dK3Akf1FT+ypW1t6yPTdyuTZBFwEPDMnl6MJEmS\nNI8cA2wH/nOSbyX5VJJXMf4Ixyf6yvdGMi5hkiMcgd4IR0kzJMmnkzyd5P6+tP/Qwv3cm+T3kxzc\n0pcm+ask97Tld/rKGN5HkjTvTNhY3Sq8q4EHq+rSvk23AGva+hrg833pq1sFeQzdRIp3tx/UO5Ks\nbPs8e0SZ3r7OBO5svT4kSZKkhWoR8HeBK6vqJOAvaJOa9wxqhCN0IfmSbEyycfv27YM4pDRfXUMX\niqff7cCJVfV3gD8BLurb9khVLW/LL/al98L7LGtLb58/Cu8DXEYX3keSpDlhMj2rXw+8F3hj39vc\nNwOXAG9K8jBwavtOVW0C1gMPAF8Czm9x8gDOAz5FNyTxEbo4edA1hh+WZDPwIUb8CJckSZIWoC3A\nlqra0L7fSNd4PZQRjobkk6ZHVX0VeHZE2h+20Q3QzQF15MsK9jG8jyRpvppwgsWq+howVsW2aowy\na4G1o6RvBE4cJf0F4KyJzkWSJElaKKrqySRPJDmuqh6i++39QFvW0HUWGTnC8XeTXEo3wWJvhOOu\nJDuSrKSbYPFs4Lf6yqwBvo4jHKXZ4p8BN/R9PybJPXRhev6fqvrv7EF4nyS98D7fnekTlyRpqiZs\nrJYkSZI0NO8HrkvyCuA7wM/TjY5cn+Qc4HHgndCNcEzSG+G4k5ePcLwG2J9udGP/CMfPtBGOzwKr\nB3FRkkaX5P+mu3+va0nbgKOr6pkkJwP/JckJ03i8c4FzAY4++ujp2q0kSXvNxmppAUpyFN1QwcPp\n4lxeVVW/meRiurh3vUCUH62qW1uZi+ji3+0CPlBVf9DST+alf/zeClxQVZVkv3aMk+mGE7+rqh4b\nyAVKkjRPVNU9wIpRNjnCUZpnkvwc8FZgVW+EQ1W9CLzY1r+R5BHgdUwuvM+WyYT3Aa4CWLFihaMq\nJElDN5mY1ZLmn53Ah6vqeGAlcH6S49u2y/omcOk1VB9P19PqBLqJW65Isk/L78QukiRJ0hQkOR34\nFeBtVfWXfemLe7+7k7yW7vf2d6pqG7AjycoWj/psdg8JtKatG95HkjSn2FgtLUBVta2qvtnWvw88\nyEsx7kZzBnB9Vb1YVY/STZJ6ihO7SJIkSXsmyefo4sQfl2RLC+nz28BPALcnuSfJ77TsPwPc22JW\n3wj8YlX1Jmc8D/gU3W/zR9g9vM9hLbzPh4ALB3FdkiRNB8OASAtckqXASXQTLr0eeH+Ss4GNdL2v\nn6NryL6rr1hvApcfMMWJXYyTJ0mSpIWkqt49SvLVY+S9CbhpjG2G95EkzTv2rJYWsCQH0P34/WBV\n7aAL6fFaYDndZC6fmOlzqKqrqmpFVa1YvHjxTB9OkiRJkqRpl+TgJDcm+XaSB5P8/SSHJrk9ycPt\n85C+/Bcl2ZzkoSSn9aWfnOS+tu3y3gjlJPsluaGlb2gdz6R5x57V0gKVZF+6hurrqupmgKp6qm/7\nJ4EvtK+9SVp6ehO4TMvELppeSy/84rBPQZIkSZIWmt8EvlRVZyZ5BfDjwEeBO6rqkiQX0oXl+ciI\neaFeA/xRktdV1S5emhdqA3Ar3bxQt9E3L1SS1XTzQr1rsJcozTx7VksLUHszezXwYFVd2pd+RF+2\ndwD3t/VbgNXtTe4xdBO73O3ELpIkSZKkhS7JQXQx5q8GqKq/rqrvsftcTuvYfY4n54WSRmHPamlh\nej3wXuC+NlkLdG98351kOVDAY8AvAFTVpiTrgQeAncD57Y0vdBO7XAPsT/e2t39il8+0iV2epXtr\nLEmSJEnSfHMMsB34z0l+CvgGcAFweOvkBfAkcHhbn7F5oaS5zsZqaQGqqq8Bo72BvXWcMmuBtaOk\nO7GLJEmSJGkhWwT8XeD9VbUhyW/Shfz4kaqqJDM+2jjJucC5AEcfffRMH06adoYBkSRJkiRJkvbe\nFmBLVW1o32+ka7x+qhdus30+3bZPZV4oxpsXqqquqqoVVbVi8eLF03Bp0mDZWC1JkiRJkiTtpap6\nEngiyXEtaRVdGM3+uZzWsPscT84LJY3CMCCSJEmSJEnS1LwfuC7JK4DvAD9P10l0fZJzgMeBd4Lz\nQknjsbFakiRJkiRJmoKqugdYMcqmVWPkd14oaRSGAZEkaR5IclSSLyd5IMmmJBe09EOT3J7k4fZ5\nSF+Zi5JsTvJQktP60k9Ocl/bdnkbgkgbpnhDS9+QZOmgr1OSJEmSNH/ZWC1J0vywE/hwVR0PrATO\nT3I83Szkd1TVMuCO9p22bTVwAnA6cEWSfdq+rgTeRxc7b1nbDnAO8FxVHQtcBnx8EBcmSZIkSVoY\nbKyWJGkeqKptVfXNtv594EFgCXAGsK5lWwe8va2fAVxfVS9W1aPAZuCUNkv5gVV1V5uw5doRZXr7\nuhFY1et1LUmSJEnSVNlYLUnSPNPCc5wEbAAOb7OKAzwJHN7WlwBP9BXb0tKWtPWR6buVqaqdwPPA\nYaMc/9wkG5Ns3L59+zRckSRJkiRpIbCxWpKkeSTJAcBNwAerakf/ttZTumb6HKrqqqpaUVUrFi9e\nPNOHkyRJkiTNEzZWS5I0TyTZl66h+rqqurklP9VCe9A+n27pW4Gj+oof2dK2tvWR6buVSbIIOAh4\nZvqvRJIkSZK0ENlYLUnSPNBiR18NPFhVl/ZtugVY09bXAJ/vS1+dZL8kx9BNpHh3CxmyI8nKts+z\nR5Tp7etM4M7WW1uSJEmSpClbNOwTkCRJ0+L1wHuB+5Lc09I+ClwCrE9yDvA48E6AqtqUZD3wALAT\nOL+qdrVy5wHXAPsDt7UFusbwzyTZDDwLrJ7pi5IkSZIkLRw2VkuSNA9U1deAjLF51Rhl1gJrR0nf\nCJw4SvoLwFlTOE1JkiRJksZkGBBJkiRJkiRJ0tDZWC1JkiRJkiRJGjobqyVJkiRJkiRJQ2djtSRJ\nkiRJkiRp6GysliRJkiRJkiQN3aJhn4AkSZIkSdJ0WnrhF8fc9tglbxngmUiS9oQ9qyVJkiRJGpAk\nn07ydJL7+9IOTXJ7kofb5yF92y5KsjnJQ0lO60s/Ocl9bdvlSdLS90tyQ0vfkGTpIK9PkqSpsLFa\nkiRJkqTBuQY4fUTahcAdVbUMuKN9J8nxwGrghFbmiiT7tDJXAu8DlrWlt89zgOeq6ljgMuDjM3Yl\nkiRNMxurJUmSJEkakKr6KvDsiOQzgHVtfR3w9r7066vqxap6FNgMnJLkCODAqrqrqgq4dkSZ3r5u\nBFb1el1LkjTb2VgtSZIkSdJwHV5V29r6k8DhbX0J8ERfvi0tbUlbH5m+W5mq2gk8Dxw2M6ctSdL0\nmrCxeox4Whcn2Zrknra8uW+b8bSkWS7JUUm+nOSBJJuSXNDSjZUnSZIkDVHrKV2DOFaSc5NsTLJx\n+/btgzikJEnjmkzP6mt4eTwtgMuqanlbbgXjaUlzyE7gw1V1PLASOL/dv8bKkyRJkgbvqRbag/b5\ndEvfChzVl+/Ilra1rY9M361MkkXAQcAzox20qq6qqhVVtWLx4sXTdCmSJO29CRurx4inNRbjaUlz\nQFVtq6pvtvXvAw/SDRc0Vp4kSZI0eLcAa9r6GuDzfemr26jFY+g6h9zdQobsSLKy/cY+e0SZ3r7O\nBO5sv9UlSZr1phKz+v1J7m1hQnqhAoynJc0xLTzHScAGjJUnSZIkzagknwO+DhyXZEuSc4BLgDcl\neRg4tX2nqjYB64EHgC8B51fVrrar84BP0XUkeQS4raVfDRyWZDPwIdpoSUmS5oJFe1nuSuDf0MXR\n+jfAJ4B/Nl0nNZYk5wLnAhx99NEzfThp3ktyAHAT8MGq2tHf8bmqKsmM98DwvpYkSdJCUlXvHmPT\nqjHyrwXWjpK+EThxlPQXgLOmco6SJA3LXvWsrqqnqmpXVf0Q+CRwSttkPC1pjkiyL11D9XVVdXNL\nHnisPO9rSZIkSZIkwV42Vvcas5p3APe3deNpSXNAuw+vBh6sqkv7NhkrT5IkSZIkSUMxYRiQFk/r\nDcCrk2wBPga8IclyujAgjwG/AF08rSS9eFo7eXk8rWuA/eliafXH0/pMi6f1LLB6Oi5M0rheD7wX\nuC/JPS3to3Sx8da3uHmPA+8E721JkiRJkiTNvAkbq8eIp3X1OPmNpyXNclX1NSBjbDZWniRJkiRJ\nkgZur8KASJIkSZIkSZI0nWysliRJkiRJkiQNnY3VkiRJkiRJkqShs7FakiRJkiRJkjR0NlZLkiRJ\nkiRJkobOxmpJkiRJkiRJ0tDZWC1JkiRJkiRJGjobqyVJkqRZLMk+Sb6V5Avt+6FJbk/ycPs8pC/v\nRUk2J3koyWl96Scnua9tuzxJWvp+SW5o6RuSLB309UmSJEk9NlZLkiRJs9sFwIN93y8E7qiqZcAd\n7TtJjgdWAycApwNXJNmnlbkSeB+wrC2nt/RzgOeq6ljgMuDjM3spkiRJ0thsrJYkaZ5I8ukkTye5\nvy/t4iRbk9zTljf3bbMHpjTLJTkSeAvwqb7kM4B1bX0d8Pa+9Our6sWqehTYDJyS5AjgwKq6q6oK\nuHZEmd6+bgRW9e55SZIkadBsrJYkaf64hpd6S/a7rKqWt+VWsAemNIf8BvArwA/70g6vqm1t/Ung\n8La+BHiiL9+WlrakrY9M361MVe0EngcOm8bzlyRJkibNxmpJkuaJqvoq8Owks9sDU5rlkrwVeLqq\nvjFWnnaf1oDO59wkG5Ns3L59+yAOKUmSpAXGxmpJkua/9ye5t4UJ6U3EZg9MafZ7PfC2JI8B1wNv\nTPJZ4Kn2Yon2+XTLvxU4qq/8kS1ta1sfmb5bmSSLgIOAZ0Y7maq6qqpWVNWKxYsXT/3qJEmSpBFs\nrJYkaX67EngtsBzYBnxipg9o70tpelTVRVV1ZFUtpQvbc2dVvQe4BVjTsq0BPt/WbwFWt/jyx9CF\n8bm7hQzZkWRlGw1x9ogyvX2d2Y4xkJ7akiRJ0kg2VkuSNI9V1VNVtauqfgh8EjilbZqxHpj2vpRm\n3CXAm5I8DJzavlNVm4D1wAPAl4Dzq2pXK3Me3SSNm4FHgNta+tXAYUk2Ax8CLhzURUiSJEkj2Vgt\nSdI81gsV0LwDuL+t2wNTmkOq6itV9da2/kxVraqqZVV1alU925dvbVX9ZFUdV1W39aVvrKoT27Zf\n6t27VfVCVZ1VVcdW1SlV9Z3BX50kSfNDkn2SfCvJF9r3Q5PcnuTh9nlIX96LkmxO8lCS0/rST05y\nX9t2eW+OmPa7/YaWviHJ0kFfnzQINlZLkjRPJPkc8HXguCRbkpwD/Pv2Y/de4B8Bvwz2wJQkSZJm\nwAXAg33fLwTuqKplwB3tO0mOpwvxdQJwOnBFkn1amSuB99F1JlnWtgOcAzxXVccClwEfn9lLkYZj\n0bBPQJIkTY+qevcoyVePk38tsHaU9I3AiaOkvwCcNZVzlCRJkuajJEcCb6H7ff2hlnwG8Ia2vg74\nCvCRln59Vb0IPNo6g5zSJlU+sKruavu8Fng7XeeRM4CL275uBH47SRzpqPnGntWSJEmSJEnS1PwG\n8CvAD/vSDm9h9gCeBA5v60uAJ/rybWlpS9r6yPTdylTVTuB54LBpPH9pVrCxWpIkSZIkSdpLSd4K\nPF1V3xgrT+sBPeO9oJOcm2Rjko3bt2+f6cNJ087GakmSJEmShizJcUnu6Vt2JPlgkouTbO1Lf3Nf\nmT2aoE3SjHk98LYWxuN64I1JPgs81ZvwvH0+3fJvBY7qK39kS9va1kem71YmySLgIOCZkSdSVVdV\n1YqqWrF48eLpuTppgIxZLUmSJEnSkFXVQ8BygDbR2lbg94GfBy6rql/vzz9igrbXAH+U5HVtwuTe\nBG0bgFvpJmi7DQGw9MIvjrv9sUveMqAz0XxRVRcBFwEkeQPwL6vqPUn+A7AGuKR9fr4VuQX43SSX\n0t2/y4C7q2pXe1G1ku7+PRv4rb4ya+gmVD8TuNN41ZqPbKyWJEmSJGl2WQU8UlWPj9Mpem8maJM0\nWJcA65OcAzwOvBOgqjYlWQ88AOwEzm8vmgDOA64B9qe7b3v37tXAZ9q9/izdyypp3jEMiLRAJfl0\nkqeT3N+XNm1DDJPsl+SGlr4hydJBXp8kSZI0h60GPtf3/f1J7m2/4Q9paXszQZukGVZVX6mqt7b1\nZ6pqVVUtq6pTq+rZvnxrq+onq+q4qrqtL31jVZ3Ytv1Sr/d0Vb1QVWdV1bFVdUpVfWfwVyfNPBur\npYXrGrrhgCNdVlXL23IrvGyI4enAFW1oIrw0xHBZW3r7PAd4rqqOBS4DPj5TFyJJkiTNF0leAbwN\n+L2WdCXwWroQIduAT0zjsZyITZI0q9hYLS1QVfVVuqFDk/GjIYZV9SjQG2J4BG2IYXvb2xti2Cuz\nrq3fCKxyYhdJkiRpQj8LfLOqnvr/27v3YMvKs87j35+giLkJodNCA9PUpNUCZkKki0GTsojkgsGy\n0QrYqTFg2ZUeC4zRyow0WjOxdJjp6JgoKsx0AjbEBIIYhq5wiaSjFVMlkCZDwi0MbegM3dPQHZJA\nHCto4zN/7PfA5nBOX87Zl3X2/n6qTu213nXZz9rnPGut8+53vS9AVT1ZVc9V1T8DHwbOaOstZIC2\nF3EgNklS11hZLWm2QT1i+Pw2VbUPeBp49TADlyRJkibAO+nrAqQ1EJnxM8BMN35bgLWt+72TeGGA\ntt3AM0nObI1FLuSFQd0kSeo0B1iU1O8q4HeAaq+/D/ziMN8wyXpgPcCJJ544zLeSpLFbueHWcYcg\nSeqwJC8D3gL8u77i301yGr179B0zyxY4QJskSZ1mZbWk5808agiQ5MPAp9rsQh4xnNlmZ5LDgVcB\nT83xnpuATQCrV6+ugRyIJEmStARV1f9j1tOIVfWu/ax/OXD5HOXbgFMHHqAkSUNmNyCSnjfgRwy3\nABe16XcAn50ZxViSJEmSJEmazZbV0pRKcj1wFnBMkp3A+4GzBviI4dXAR5NspzeQ49rhH5UkSZIk\nSZKWKiurpSlVVe+co/jq/ax/SI8YVtV3gPMXE6MkSZIkSZKmh92ASJIkSZIkSZLGzspqSZIkSZIk\nSdLYHbAbkCTXAD8F7KmqU1vZ0cAngJX0+rW9oKq+2ZZdBqwDngN+pao+3cpP54V+bW8D3ltVleQI\n4DrgdOAp4OeqasfAjlCs3HDruEOQJEmSJEmSpP06mJbVm4FzZpVtALZW1Spga5snycn0BlE7pW1z\nZZLD2jZXAe8GVrWfmX2uA75ZVa8FPgR8YKEHI0mSJEmSJElamg7YsrqqPpdk5aziNcBZbfpa4K+B\nS1v5DVX1LPBYku3AGUl2AK+sqrsAklwHnAfc3rb5rbavm4A/TpKqqoUelEbjQC22d2w8d0SRSJIk\nSZIkSVrqFtpn9fKq2t2mnwCWt+kVwON96+1sZSva9OzyF21TVfuAp4FXLzAuSZIkSZIkSdIStOgB\nFlsL6JG0gk6yPsm2JNv27t07ireUJEmSJEmSJI3AQiurn0xyLEB73dPKdwEn9K13fCvb1aZnl79o\nmySHA6+iN9DiS1TVpqpaXVWrly1btsDQJUmSJEmSJElds9DK6i3ARW36IuCWvvK1SY5IchK9gRTv\naV2GPJPkzCQBLpy1zcy+3gF81v6qJUmSJEmSJGm6HHCAxSTX0xtM8ZgkO4H3AxuBG5OsA74GXABQ\nVQ8muRF4CNgHXFJVz7VdXQxsBo6kN7Di7a38auCjbTDGbwBrB3JkkiRJkiRJkqQl44CV1VX1znkW\nnT3P+pcDl89Rvg04dY7y7wDnHygOSZIkSZIkSdLkWvQAi5IkSZIkSZIkLZaV1ZIkSZIkSZKksTtg\nNyCSpOmxcsOt+12+Y+O5I4pEkiRJkiRNG1tWS5I0IZJck2RPkgf6yo5OcmeSR9vrUX3LLkuyPckj\nSd7WV356kvvbsiuSpJUfkeQTrfzuJCtHeXySJEmSpMlmZbUkSZNjM3DOrLINwNaqWgVsbfMkORlY\nC5zStrkyyWFtm6uAdwOr2s/MPtcB36yq1wIfAj4wtCORJEmSJE0dK6slSZoQVfU54BuzitcA17bp\na4Hz+spvqKpnq+oxYDtwRpJjgVdW1V1VVcB1s7aZ2ddNwNkzra4lSZIkSVosK6slSZpsy6tqd5t+\nAljeplcAj/ett7OVrWjTs8tftE1V7QOeBl49nLAlSZIkSdPGympJkqZEayldw36fJOuTbEuybe/e\nvcN+O0mSJEnShLCyWpKkyfZk69qD9rqnle8CTuhb7/hWtqtNzy5/0TZJDgdeBTw1+w2ralNVra6q\n1cuWLRvgoUiSJEmSJtnh4w5AkiQN1RbgImBje72lr/zjST4IHEdvIMV7quq5JM8kORO4G7gQ+KNZ\n+/pb4B3AZ1trbUmSpImxcsOt8y7bsfHcEUYiSdPHympJkiZEkuuBs4BjkuwE3k+vkvrGJOuArwEX\nAFTVg0luBB4C9gGXVNVzbVcXA5uBI4Hb2w/A1cBHk2ynN5Dj2hEcliRJkiRpSlhZLUnShKiqd86z\n6Ox51r8cuHyO8m3AqXOUfwc4fzExSpKk+SXZAXwbeA7YV1WrkxwNfAJYCewALqiqb7b1LwPWtfV/\npao+3cpP54Uvnm8D3uvTUJKkpcA+q6UpleSaJHuSPNBXdnSSO5M82l6P6lt2WZLtSR5J8ra+8tOT\n3N+WXZEkrfyIJJ9o5XcnWTnK45MkSZKWqDdV1WlVtbrNbwC2VtUqYGubJ8nJ9J5yOgU4B7gyyWFt\nm6uAd9Pr5mtVWy5JUufZslqaXpuBPwau6yubuRHemGRDm7901o3wccBnkvxg6zJg5kb4bnqtNs6h\n12XAOuCbVfXaJGuBDwA/N5Ijk6QpY9+akjTR1tDr5gvgWuCvgUtb+Q1V9SzwWOum64zWOvuVVXUX\nQJLrgPN4oVsvSZI6y5bV0pSqqs/R63O23xp6N8C01/P6ym+oqmer6jFg5kb4WNqNcHus8LpZ28zs\n6ybg7JlW15IkSZLmVPQahtybZH0rW15Vu9v0E8DyNr0CeLxv252tbEWbnl3+EknWJ9mWZNvevXsH\ndQySJC2YLasl9dvfjfBdfevN3PD+E/PfCD9/81xV+5I8Dbwa+PpwQpckSZKWvDdW1a4krwHuTPKV\n/oVVVUkG1vd0VW0CNgGsXr3aPq0lSWNny2pJc2otpYd+w2prDkmSJKmnqna11z3AzcAZwJPtiUba\n6562+i7ghL7Nj29lu9r07HJJkjrPympJ/QZ5I/z8NkkOB14FPDX7DatqU1WtrqrVy5YtG+ChSJIk\nSUtHkpclecXMNPBW4AFgC3BRW+0i4JY2vQVY2wY2P4neQIr3tCcln0lyZuuG78K+bSRJ6jQrqyX1\nG+SNcP++3gF8trXWliRJkvRSy4HPJ/kScA9wa1XdAWwE3pLkUeDNbZ6qehC4EXgIuAO4pA2ADnAx\n8MgFpkoAABYRSURBVBF6Y838HQ6uKElaIuyzWppSSa6nN6r4MUl2Au+nd+N7Y5J1wNeAC6B3I5xk\n5kZ4Hy+9Ed4MHEnvJnjmRvhq4KNtVPJvAGtHcFiSJEnSklRVXwVeN0f5U8DZ82xzOXD5HOXbgFMH\nHaMkScNmZbU0parqnfMsGsiNcFV9Bzh/MTFKkiRJkiRpetgNiCRJktRBSU5I8ldJHkryYJL3tvKj\nk9yZ5NH2elTfNpcl2Z7kkSRv6ys/Pcn9bdkVrfsuWhdfn2jldydZOerjlCRJkmbYslqSlqCVG24d\ndwiSpOHbB7yvqr7YBl27N8mdwC8AW6tqY5INwAbg0iQn0+t26xTgOOAzSX6wdd11FfBu4G7gNuAc\nel13rQO+WVWvTbIW+ADwcyM9SkmSJKmxZbUkSZLUQVW1u6q+2Ka/DTwMrADWANe21a4FzmvTa4Ab\nqurZqnqM3sBqZyQ5FnhlVd3VBju+btY2M/u6CTh7ptW1JEmSNGpWVkuSJEkd17rneD29ltHLq2p3\nW/QEsLxNrwAe79tsZytb0aZnl79om6raBzwNvHqeGNYn2ZZk2969exd5RJIkSdJLWVktSZIkdViS\nlwN/AfxqVT3Tv6y1lK5RxFFVm6pqdVWtXrZs2SjeUpKkJcFxJqTBsc/qCWDftZIkSZMpyXfTq6j+\nWFV9shU/meTYqtrduvjY08p3ASf0bX58K9vVpmeX92+zM8nhwKuAp4ZyMJIkTS7HmZAGxJbVkiRJ\nUge1llRXAw9X1Qf7Fm0BLmrTFwG39JWvbS2vTgJWAfe0LkOeSXJm2+eFs7aZ2dc7gM+21tqSJOkg\nOc6ENDi2rJYkSZK66Q3Au4D7k9zXyn4D2AjcmGQd8DXgAoCqejDJjcBD9Fp4XdJaaAFcDGwGjqTX\nOuv2Vn418NEk24Fv0GvlJUmSFugQxpm4q2+zmfEk/omDHGciycw4E18f+EFIY2RltSRJktRBVfV5\nYL4WU2fPs83lwOVzlG8DTp2j/DvA+YsIU5IkNbPHmehv+FxVlWToTy8lWQ+sBzjxxBOH/XbSwNkN\niCRJkiRJkrQI+xtnoi0f1DgT7G+cCQdE1lJnZbUkSZIkSZK0QI4zIQ2O3YBIkiRJkiQdhJUbbt3v\n8h0bzx1RJOoYx5mQBsTKakmSJEmSJGmBHGdCGpxFdQOSZEeS+5Pcl2RbKzs6yZ1JHm2vR/Wtf1mS\n7UkeSfK2vvLT2362J7ki/T3QS5IkSZIkSZIm3iD6rH5TVZ1WVavb/AZga1WtAra2eZKcTO8RhVOA\nc4ArkxzWtrkKeDe9PnpWteWSJEmSJEmSpCkxjAEW1wDXtulrgfP6ym+oqmer6jFgO3BGGw31lVV1\nV+sY/rq+bSRJkiRJkiRJU2CxldUFfCbJvUnWt7LlbfRSgCeA5W16BfB437Y7W9mKNj27XJIkSZIk\nSZI0JRY7wOIbq2pXktcAdyb5Sv/Cqqoktcj3eF6rEF8PcOKJJw5qt5IkSZIkSZKkMVtUy+qq2tVe\n9wA3A2cAT7auPWive9rqu4AT+jY/vpXtatOzy+d6v01VtbqqVi9btmwxoUuSJEmSJEmSOmTBldVJ\nXpbkFTPTwFuBB4AtwEVttYuAW9r0FmBtkiOSnERvIMV7WpchzyQ5M0mAC/u2kSRJA5BkR5L7k9yX\nZFsrOzrJnUkeba9H9a1/WZLtSR5J8ra+8tPbfrYnuaJduyVJkiRJWrTFdAOyHLi5/Y96OPDxqroj\nyReAG5OsA74GXABQVQ8muRF4CNgHXFJVz7V9XQxsBo4Ebm8/WuJWbrh13mU7Np47wkgkSc2bqurr\nffMbgK1VtTHJhjZ/aZKTgbXAKcBx9Man+MF23b4KeDdwN3AbcA5etyVJkiRJA7Dgyuqq+irwujnK\nnwLOnmeby4HL5yjfBpy60FgkSdKCrAHOatPXAn8NXNrKb6iqZ4HHkmwHzkiyA3hlVd0FkOQ64Dys\nrH7e/r6olSRJkiTt36L6rJYkSUtG0WshfW8bsBhgeeuOC+AJek9NAawAHu/bdmcrW9GmZ5dLkiRJ\nkrRoVlZLkjQd3lhVpwE/CVyS5Mf7F1ZV0avQXrQk65NsS7Jt7969g9ilJEkTL8kJSf4qyUNJHkzy\n3lb+W0l2tXEn7kvy9r5tHGNCkjRRrKyW9BIOxCZNnqra1V73ADcDZwBPJjkWoL3uaavvAk7o2/z4\nVrarTc8un/1em6pqdVWtXrZs2aAPRZKkSbUPeF9VnQycSe/L5ZPbsg9V1Wnt5zaAWWNMnANcmeSw\ntv7MGBOr2s85IzwOSZIWzMpqSfN5U7sZXt3mZwZiWwVsbfPeJEtLQJKXJXnFzDTwVuABYAtwUVvt\nIuCWNr0FWJvkiCQn0cvfe1qXIc8kObN9+XRh3zaSJGkRqmp3VX2xTX8beJj9d7f1/BgTVfUYMDPG\nxLG0MSbak1MzY0xIktR5VlZLOlhr6A3ARns9r6/cm2Sp25YDn0/yJeAe4NaqugPYCLwlyaPAm9s8\nVfUgcCPwEHAHcElVPdf2dTHwEXq5/nc4uKIkSQOXZCXweuDuVvSeJF9Ock3fE46OMSFJmjiHjzsA\nSZ00MxDbc8D/qKpN7H8gtrv6tp25Gf4nvEmWOqGqvgq8bo7yp4Cz59nmcuDyOcq3AacOOkZJktST\n5OXAXwC/WlXPJLkK+B169+i/A/w+8IsDeq/1wHqAE088cRC7lCRpUaysljSXN1bVriSvAe5M8pX+\nhVVVSQY2EBveIEuSJEkk+W56FdUfq6pPAlTVk33LPwx8qs0uaoyJtu9NwCaA1atXD+T+ftqt3HDr\nvMt2bDx3hJFI0tJkZfUSsb8LnjRo/QOxJXnRQGxVtXvQA7HhDbIkSZKmXBsP4mrg4ar6YF/5sX1P\nOP4MvXEnoDfGxMeTfBA4jhfGmHguyTNJzqTXjciFwB+N6jgkSVoM+6yW9CIOxCZJkiSNxRuAdwE/\nkeS+9vN24HeT3J/ky8CbgF8Dx5iQJE0mW1ZLmm05cHOvfpnDgY9X1R1JvgDcmGQd8DXgAujdJCeZ\nuUnex0tvkjcDR9K7QfYmeYnzsUZJkqThqKrPA5lj0W372cYxJiRJE8XKakkv4kBskiRJkiRJGgcr\nqyVJkibYgca98KkISZIkSV1hn9WSJEmSJEmSpLGzslqSJEmSJEmSNHZ2AyJJHXSgx/YlSZIkSZIm\njS2rJUmSJEmSJEljZ2W1JEmSJEmSJGns7AZEkiRJkiQtmF3YSZIGxZbVkiRJkiRJkqSxs2W1JEmS\nJEnSkB2oBfqOjeeOKBJJ6i5bVkuSJEmSJEmSxs6W1RqL/X2j7LfJkiRJkiRJ0vSxsrojHJBCkiRJ\nkiRJ0jSzGxBJkiRJkiRJ0tjZslqSJOkQ+DSUJEmSJA2HLaslSZIkSZIkSWNny2pJ0kAcqLWpg6dK\n3eSgx5IkdYPXZEmyZbUkSZIkSZIkqQOsrJYkSZIkSZIkjZ3dgEjSmDhImyRJkiRJ0gtsWS1JkiRJ\nkiRJGjtbVo+QrSgPjoO0SZLGyeu1JEnqGv9PljQtrKyWJEnSnPzHWJIkSdIoWVktSRqJ/VV6WeEl\nSToQvzyRJEmafJ2prE5yDvCHwGHAR6pq45hDkjQA05zbdiWgSTXNeS1NqknIa78UlV5sEvJaB89z\n4HQwrzUNOlFZneQw4E+AtwA7gS8k2VJVD403skNjxdRoeBFeOiYltyW9YFLy2mu29IJJyev9WUzO\ne3+ppWga8lqaNua1pkUnKquBM4DtVfVVgCQ3AGuAziWc/9x2m4+Hds6Sye2F8pwwGObukjLxea2D\n5xfIE8O83o9hXuvNEw3RQPPae96lzXvtieH1WlOhK5XVK4DH++Z3Av9mHIF4EZ5s/lM9cua2BsLc\n7RTzWgfFlqxLykjz2tx9wbA+C3NIdOh6re7zmr1kmNeaCl2prD4oSdYD69vs3yd5ZAxhHAN8fQzv\nOw7TdKzkA4s63n8xyFimyZjyeqr+tucxMZ9BPrDgTQ/0GZjXCzTgvJ6Yv9VFmLrPYFZeD/r4ze0F\nGtE1u0t/70s2lkVcGw9W1z4b83qBpjCvh21ajvX54xzi+ca8XqCO1J3NNqm5MZHHtcj6sf05qLzu\nSmX1LuCEvvnjW9mLVNUmYNOogppLkm1VtXqcMYzKNB0rTN/xjsgBc3scee3v2s8A/AwWYaR57e/J\nz2Daj39EOnMv3qXft7HMr0vxtFhWjjuODjKvx2BajnVajrODOpPXh2pS/2Y8ruH4rnG98SxfAFYl\nOSnJ9wBrgS1jjknS4pnb0uQxr6XJY15Lk8e8liaPea2p0ImW1VW1L8kvA58GDgOuqaoHxxyWpEUy\nt6XJY15Lk8e8liaPeS1NHvNa06ITldUAVXUbcNu44zgInXqUYsim6Vhh+o53JDqa2/6u/QzAz2DB\nRpzX/p78DKb9+EeiQ9frLv2+jWV+XYqnS7F0ink9FtNyrNNynJ3Tobw+VJP6N+NxDUGqapzvL0mS\nJEmSJElSZ/qsliRJkiRJkiRNMSurD1GS85M8mOSfk0zciJ8zkpyT5JEk25NsGHc8w5TkmiR7kjww\n7lg0GtOSx3OZptyejznfbUmOTnJnkkfb61HzrLcjyf1J7kuybdRxDtqBcjM9V7TlX07yI+OIc5gO\n4jM4K8nT7Xd+X5L/NI44NRxduj4lOSHJXyV5qN0vvHec8bSYDkvyv5J8asxxfH+Sm5J8JcnDSX50\njLH8Wvv9PJDk+iTfO65YNL8u5fawdPGcMUxdOR9p6UryviSV5JhxxzIISX6vXRe/nOTmJN8/7pgW\nqivnbCurD90DwM8Cnxt3IMOS5DDgT4CfBE4G3pnk5PFGNVSbgXPGHYRGauLzeC5TmNvz2Yw532Ub\ngK1VtQrY2ubn86aqOq2qlvSXTgeZmz8JrGo/64GrRhrkkB3C+elv2u/8tKr67ZEGqaHp4PVpH/C+\nqjoZOBO4pAPXy/cCD485BoA/BO6oqh8GXseYYkqyAvgVYHVVnUpvoLG144hF8+tgbg9LF88Zw9SV\n85GWoCQnAG8F/s+4YxmgO4FTq+pfA/8buGzM8SxIl87ZVlYfoqp6uKoeGXccQ3YGsL2qvlpV/wjc\nAKwZc0xDU1WfA74x7jg0OlOSx3OZqtyejznfeWuAa9v0tcB5Y4xlVA4mN9cA11XPXcD3Jzl21IEO\nkeen6dap339V7a6qL7bpb9OrlFkxrniSHA+cC3xkXDG0OF4F/DhwNUBV/WNVfWuMIR0OHJnkcOD7\ngP87xlg0t07l9rB07ZwxTF05H2lJ+xDw68DEDKBXVX9ZVfva7F3A8eOMZxE6c862slpzWQE83je/\nkwm92EpTxtzWUrC8qna36SeA5fOsV8BnktybZP1oQhuag8nNSc/fgz2+H2uPWN6e5JTRhKYR6Ozf\nd5KVwOuBu8cYxh/Q+8f+n8cYA8BJwF7gT1sXAB9J8rJxBFJVu4D/Rq9l3m7g6ar6y3HEov3qbG4P\nS0fOGcPUlfORlqAka4BdVfWlcccyRL8I3D7uIBaoM+fsw8fxpl2X5DPAD8yx6Der6pZRxyPp0JnH\nUnftLz/7Z6qqkszX6uKNVbUryWuAO5N8pbWa1+T6InBiVf19krcD/5NetyjSUCR5OfAXwK9W1TNj\niuGngD1VdW+Ss8YRQ5/DgR8B3lNVdyf5Q3pdNf3HUQfSxjNYQ68C/VvAnyf5+ar6s1HHIs3owjlj\nmDp2PlJHHeA+/zfodQGy5BxM/UKS36TXLdDHRhnbJLKyeg5V9eZxxzBmu4AT+uaPb2XSkmEez8nc\nVifsLz+TPJnk2Kra3bq52DPPPna11z1Jbqb32NpSraw+mNyc9Pw94PH1/+NfVbcluTLJMVX19RHF\nqOHp3N93ku+mV+n0sar65BhDeQPw0+0Lmu8FXpnkz6rq58cQy05gZ1XNtBi9if2PKzBMbwYeq6q9\nAEk+CfwYYGV1t3Qut4elQ+eMYerS+UgdNd99fpJ/Re8Lxi8lgd754ItJzqiqJ0YY4oIcqH4hyS8A\nPwWcXVVLtYuTzpyz7QZEc/kCsCrJSUm+h95gJVvGHJOkxTO3tRRsAS5q0xcBL3kSIsnLkrxiZppe\nC40HRhbh4B1Mbm4BLkzPmfQeed89e0dL2AE/gyQ/kPbfTZIz6N3HPjXySDUMnbo+tb+zq4GHq+qD\n44oDoKouq6rjq2olvc/ls+OqGGqVCY8n+aFWdDbw0Dhiodf9x5lJvq/9vs7GAd+6qFO5PSxdOmcM\nU5fOR1p6qur+qnpNVa1sf0M7gR9ZChXVB5LkHHrd4/x0Vf3DuONZhM6cs62sPkRJfibJTuBHgVuT\nfHrcMQ1a6xj+l4FP07vpu7GqHhxvVMOT5Hrgb4EfSrIzybpxx6ThmoY8nsu05fZ8zPnO2wi8Jcmj\n9FrObQRIclyS29o6y4HPJ/kScA9wa1XdMZZoB2C+3EzyS0l+qa12G/BVYDvwYeDisQQ7JAf5GbwD\neKD93q8A1i7hlivq08Hr0xuAdwE/keS+9vP2McbTJe8BPpbky8BpwH8ZRxCtdfdN9LoHup/e/7Wb\nxhGL5tfB3B4WzxnSdPtj4BX0uia8L8l/H3dAC9Glc3a8x5ckSZIkSZIkjZstqyVJkiRJkiRJY2dl\ntSRJkiRJkiRp7KysliRJkiRJkiSNnZXVkiRJkiRJkqSxs7JaEyHJNUn2JHlgQPu7I8m3knxqVvnm\nJI/1jfJ82iDeT9JLmdfS5BlVXvctvyLJ3w/ivSTNzeu1NHm8XkuTaanktpXVmhSbgXMGuL/fA941\nz7L/UFWntZ/7Bviekl5sM+a1NGk2M6K8TrIaOGqA7yVpbpvxei1Nms14vZYm0WaWQG5bWa2JUFWf\nA77RX5bkX7Zvee5N8jdJfvgQ9rcV+Pag45R08MxrafKMKq+THEbv5vnXFxuzpP3zei1NHq/X0mRa\nKrltZbUm2SbgPVV1OvDvgSsHtN//muTLST6U5IgB7VPSwTGvpckzjLz+ZWBLVe0ewL4kHTqv19Lk\n8XotTabO5fbhAwhA6pwkLwd+DPjzJDPFR7RlPwv89hyb7aqqtx1g15cBTwDfQy+hL51nX5IGzLyW\nJs8w8jrJccD5wFkDDVbSQfF6LU0er9fSZOpqbltZrUn1XcC3quolA69U1SeBTy5kp33fCj2b5E/p\nfeskaTTMa2nyDCOvXw+8Ftjebrq/L8n2qnrtoiKVdLC8XkuTx+u1NJk6mdt2A6KJVFXPAI8lOR8g\nPa9b7H6THDuzP+A8YCAjqEo6MPNamjzDyOuqurWqfqCqVlbVSuAf/MdXGh2v19Lk8XotTaau5raV\n1ZoISa4H/hb4oSQ7k6wD/i2wLsmXgAeBNYewv78B/hw4u+1v5hGHjyW5H7gfOAb4z4M8DkkvMK+l\nyTPCvJY0Il6vpcnj9VqaTEslt1NVg9iPJEmSJEmSJEkLZstqSZIkSZIkSdLYWVktSZIkSZIkSRo7\nK6slSZIkSZIkSWNnZbUkSZIkSZIkaeysrJYkSZIkSZIkjZ2V1ZIkSZIkSZKksbOyWpIkSZIkSZI0\ndlZWS5IkSZIkSZLG7v8D8tbzb5ocRI8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1139b1588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 2\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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Ad7fwq6vqGeD+dhfEyUl2AAdW1RaAJFcBZ9INVq8G3tvOdS3wwSRxiR9JkiRJ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\npar2Ds5rHVAj74RKsiXJ3Unu/vrXvz7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SJKl3XmBRkiRJ0sRb6IJny7lY13IupjaJFwkb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\nSZLUu/8P1d1xCo3XCLQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117fedcf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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WtpGLh/D0FLrrgM1JFrXjnDQkz+CxnEJX09aIPaslSdLU0N4g/g3gUOCvq2ql\n8+RJkiRJ46v97r4K+CawBfgWXe/mFwBXJjkZeAh4c0t/V5LBKXS38MwpdC8B9qAb3dg7he4n2xS6\nm+hGSUrTjpXVkiRNE+0H7oIkewNfSDJ/yP5KMiHz5AGnABx88MHj/XWSJElS31XVGcAZQ8JP0vWy\nHi69U+hKw3AaEEmSppmq+iHwFbq5pte3qT0Yw3nyGGmevKpaWFULBwYGxuqyJEmSJEnTnJXVkiRN\nA0kGWo9qkuwBHAN8B+fJkyRJkiRNEU4DIknS9LA/sKLNW/0s4MqqujbJ13GePEmSJEnSFGBltSRJ\n00BV3Q4cMUz8UZwnT5IkSZI0BTgNiCRJkiRJkiSp76ysliRJkiRJkiT1nZXVkiRJkiRJkqS+s7Ja\nkiRJkiRJktR3VlZLkiRJkiRJkvrOympJkiRJkiRJUt9ZWS1JkiRJkiRJ6jsrqyVJkiRJkiRJfWdl\ntSRJkiRJkiSp72b1+wQkSZIkSZI0Puae9sV+n4IkjZo9qyVJkqRJKsneSa5K8p0k9yT5D0n2TXJD\nkvva5z496U9PsjrJvUmO7YkfmeSOtu+8JGnx5yS5osVXJpk78VcpSZIkdaysliRJkiavvwS+VFW/\nDLwMuAc4DbixquYBN7ZtkhwGLAUOB5YA5yfZrR3nAuBtwLy2LGnxk4HHqupQ4Fzg7Im4KGkmS3Jx\nkg1J7uyJnZlkbZLb2vLann02QkmSZgwrqyVJkqRJKMlewCuBiwCq6l+r6ofAccCKlmwFcHxbPw64\nvKqerKoHgNXAUUn2B/asqluqqoBLh+QZPNZVwOLBCi9J4+YSnm4w6nVuVS1oy3VgI5QkaeaxslqS\nJEmanA4BNgJ/k+RbST6R5PnA7Kpa19I8Asxu63OAh3vyr2mxOW19aHyrPFW1BXgc2G8crkVSU1Vf\nBTaNMrmNUJKkGWXEyuokz01ya5JvJ7kryQdb3LnyJEmSpPEzC/hV4IKqOgL4CW3Kj0Gtkqom4mSS\nnJJkVZJVGzdunIivlGaadya5vU0TMvjvaxuhJEkzymh6Vj8JvLqqXgYsAJYkWYRz5UmSJEnjaQ2w\npqpWtu2r6Cqv17delbTPDW3/WuCgnvwHttjatj40vlWeJLOAvYBHhzuZqrqwqhZW1cKBgYFdvDRJ\nQ1wAvJju39zrgI9MxJfaCCVJmmxmjZSg9db4cdvcvS1FN7ToVS2+ArgZeD89w5SAB5IMDlN6kDZM\nCSDJ4DAbai2iAAAgAElEQVSl61ueM9uxrgL+Kknad0uSJM1oc0/74nb3P3jW6yboTDSRquqRJA8n\neWlV3QssBu5uyzLgrPZ5dctyDfCZJOcAB9B1Drm1qp5Ksrl1OFkJnAR8tCfPMuDrwJuAm/wNLk28\nqlo/uJ7k48C1bXNXGqHWjKYRCrgQYOHChd77kqS+G9Wc1Ul2S3IbXa+NG1rvDufKkyRJksbXO4FP\nJ7mdrsfln9JVUh+T5D7g6LZNVd0FXElXmf0l4NSqeqod5+3AJ+jmu72frsMIdC9v3K91MHkvQ6YZ\nkTQxBkdLNG8E7mzr1wBL29SZh/B0I9Q6YHOSRW16zZPYuuFqWVu3EUqSNKWM2LMaoP3IXZBkb+AL\nSeYP2V9Jxr3wS3IKcArAwQcfPN5fJ0mSJPVVVd0GLBxm1+JtpF8OLB8mvgqYP0z8CeCEXTxNSTsg\nyWV0o5RflGQNcAbwqiQL6EYxPwj8AXSNUEkGG6G28MxGqEuAPegaoHoboT7ZGqE20U3TKUnSlDCq\nyupBVfXDJF+hm2t6fZL9q2rdGM6Vt91hSg5RkiRJkiRNZVV14jDhi7aT3kYoSdKMMeI0IEkGWo9q\nkuwBHAN8h62HFg2dK89hSpIkSZIkSZKkURtNz+r9gRVJdqOr3L6yqq5N8nXgyiQnAw8BbwaHKUmS\nJEmSJEmSdtyIldVVdTtwxDDxR3GuPEmSJEmSJEnSGBhxGhBJkiRJkiRJksabldWSJEmSJEmSpL6z\nslqSpGkgyUFJvpLk7iR3JXl3i5+ZZG2S29ry2p48pydZneTeJMf2xI9Mckfbd157MTLt5clXtPjK\nJHMn+jolSZIkSdOXldWSJE0PW4D3VdVhwCLg1CSHtX3nVtWCtlwH0PYtBQ4HlgDnt5cpA1wAvA2Y\n15YlLX4y8FhVHQqcC5w9AdclSZIkSZohrKyWJGkaqKp1VfXNtv4j4B5gznayHAdcXlVPVtUDwGrg\nqCT7A3tW1S1VVcClwPE9eVa09auAxYO9riVJkiRJ2lVWVkuSNM206TmOAFa20DuT3J7k4iT7tNgc\n4OGebGtabE5bHxrfKk9VbQEeB/Ybh0uQJEmSJM1AVlZLkjSNJHkB8DngPVW1mW5KjxcDC4B1wEcm\n4BxOSbIqyaqNGzeO99dJkiRJkqYJK6slSZomkuxOV1H96ar6PEBVra+qp6rq58DHgaNa8rXAQT3Z\nD2yxtW19aHyrPElmAXsBjw49j6q6sKoWVtXCgYGBsbo8SZIkSdI0Z2W1JEnTQJs7+iLgnqo6pye+\nf0+yNwJ3tvVrgKVJnpPkELoXKd5aVeuAzUkWtWOeBFzdk2dZW38TcFOb11qSJEmSpF02q98nIEmS\nxsTLgbcCdyS5rcU+AJyYZAFQwIPAHwBU1V1JrgTuBrYAp1bVUy3f24FLgD2A69sCXWX4J5OsBjYB\nS8f5miRJkiRJM4iV1ZIkTQNV9TUgw+y6bjt5lgPLh4mvAuYPE38COGEXTlOSJEmSpG1yGhBJkiRJ\nkiRJUt9ZWS1JkiRJkiRJ6jsrq6UZKsneSa5K8p0k9yT5D0n2TXJDkvva5z496U9PsjrJvUmO7Ykf\nmeSOtu+89kI22kvbrmjxlUnmTvxVSpIkSZIkaaqwslqauf4S+FJV/TLwMuAe4DTgxqqaB9zYtkly\nGN2L1A4HlgDnJ9mtHecC4G3AvLYsafGTgceq6lDgXODsibgoSZIkSZIkTU1WVkszUJK9gFcCFwFU\n1b9W1Q+B44AVLdkK4Pi2fhxweVU9WVUPAKuBo5LsD+xZVbdUVQGXDskzeKyrgMWDva4lSZIkSZKk\noayslmamQ4CNwN8k+VaSTyR5PjC7qta1NI8As9v6HODhnvxrWmxOWx8a3ypPVW0BHgf2G4drkSRJ\nkiSpr5xqUxobVlZLM9Ms4FeBC6rqCOAntCk/BrWe0jXeJ5LklCSrkqzauHHjeH+dJEmSJEnjwak2\npTFgZbU0M60B1lTVyrZ9FV3l9fo2tQftc0PbvxY4qCf/gS22tq0PjW+VJ8ksYC/g0aEnUlUXVtXC\nqlo4MDAwBpcmSdL0kuTB1sPqtiSrWsyeWpIkTRJOtSmNHSurpRmoqh4BHk7y0hZaDNwNXAMsa7Fl\nwNVt/RpgafvH7CF0rbu3tilDNidZ1ArJk4bkGTzWm4CbWmErSZJ23H+uqgVVtbBt21NLmqKSXJxk\nQ5I7e2L/T5s64PYkX0iyd4vPTfIvrbHqtiQf68ljA5Q0eTjVpjRGrKyWZq53Ap9OcjuwAPhT4Czg\nmCT3AUe3barqLuBKugrtLwGnVtVT7ThvBz5B1xJ8P3B9i18E7JdkNfBehkwzIkmSdok9taSp6xKe\nbiwadAMwv6p+Bfhn4PSeffe3xqoFVfWHPXEboKTJw6k2pTEyYmV1koOSfCXJ3UnuSvLuFj8zydqe\nFt7X9uRx6KE0yVXVbW36jV+pquOr6rGqerSqFlfVvKo6uqo29aRfXlW/VFUvrarre+Krqmp+2/eO\nwd7TVfVEVZ1QVYdW1VFV9d1+XKckSdNAAf+Q5BtJTmkxe2pJU1RVfRXYNCT25Xb/AdzC1lPtPYMN\nUNKk41Sb0hgZTc/qLcD7quowYBFwahteCHBuTwvvdeDQQ0mSJGmM/ceqWgC8hu63+Ct7d9pTS5p2\nfo+nRysCHNI6iP1jkle0mA1Q0iTiVJvS2Jk1UoJ2o6xr6z9Kcg9PF4LD+cXQQ+CBNgXAUUkepLX8\nAiQZbPm9vuU5s+W/CvirJPGmkyRJ0kxXVWvb54YkXwCOovXUqqp1Y9hTa81IPbWACwEWLlzo73Rp\nHCT573Qdxj7dQuuAg6vq0SRHAn+b5PAx/L5TgFMADj744LE6rDRTDU61+Wzgu8Dv0nUSvTLJycBD\nwJuhm2ozyeBUm1t45lSblwB70NWZ9U61+clWz7aJrqOoNO3s0JzVbXqOI4DBYQ3vbC+AuDhPv4Hc\noYeSJEnSGEjy/CQvHFwHfgO4E3tqSdNOkt8BXg/8ds/Uek9W1aNt/Rt074h5CWMwVUA7ptMFSGPE\nqTalsTFiz+pBSV4AfA54T1VtTnIB8CG6IYcfAj5CN1xp3NjqK0mSpBlmNvCFNt3sLOAzVfWlJP+E\nPbWkaSPJEuCPgf9UVT/tiQ8Am6rqqSQvpmuA+m5VbUqyOckius5kJwEfbdkGG6C+jg1QM8bc077Y\n71OQpDExqsrqJLvTVVR/uqo+D1BV63v2fxy4tm069FCSJEkaA63X1MuGiT9KNx/mcHmWA8uHia8C\n5g8TfwI4YZdPVtKoJLkMeBXwoiRrgDOA04HnADe0xqlbquoPgVcCf5LkZ8DPgT/s6ZlpA5QkadoZ\nsbK6DRO8CLinqs7pie/f8wbyN9INR4SuFfczSc4BDuDpoYdP2fIrSZIkSZrJqurEYcIXbSPt5+g6\njg23zwYoSdK0M5qe1S8H3grckeS2FvsAcGKSBXTTgDwI/AE49FCSJEmSJEmStONGrKyuqq8BGWbX\nddvJ49BDSZIkSZIkSdKoPavfJyBJkiRJkiRJkpXVkiRJkiRJkqS+s7JakiRJkiRJktR3VlZLkiRJ\nkiRJkvrOympJkiRJkiRJUt9ZWS1JkiRJkiRJ6jsrqyVJkiRJkiRJfWdltSRJ00CSg5J8JcndSe5K\n8u4W3zfJDUnua5/79OQ5PcnqJPcmObYnfmSSO9q+85KkxZ+T5IoWX5lk7kRfpyRJkiRp+rKyWpKk\n6WEL8L6qOgxYBJya5DDgNODGqpoH3Ni2afuWAocDS4Dzk+zWjnUB8DZgXluWtPjJwGNVdShwLnD2\nRFyYJEmSJGlmsLJakqRpoKrWVdU32/qPgHuAOcBxwIqWbAVwfFs/Dri8qp6sqgeA1cBRSfYH9qyq\nW6qqgEuH5Bk81lXA4sFe15IkSZIk7SorqyVJmmba9BxHACuB2VW1ru16BJjd1ucAD/dkW9Nic9r6\n0PhWeapqC/A4sN8w339KklVJVm3cuHEMrkiSJEmSNBNYWS1J0jSS5AXA54D3VNXm3n2tp3SN9zlU\n1YVVtbCqFg4MDIz310mSJEmSpgkrqyVJmiaS7E5XUf3pqvp8C69vU3vQPje0+FrgoJ7sB7bY2rY+\nNL5VniSzgL2AR8f+SiRJkiRJM5GV1ZIkTQNt7uiLgHuq6pyeXdcAy9r6MuDqnvjSJM9JcgjdixRv\nbVOGbE6yqB3zpCF5Bo/1JuCm1ltbkiRJkqRdNqvfJ6D+mnvaF7e7/8GzXjdBZyJJ2kUvB94K3JHk\nthb7AHAWcGWSk4GHgDcDVNVdSa4E7ga2AKdW1VMt39uBS4A9gOvbAl1l+CeTrAY2AUvH+6IkSZIk\nSTOHldWSJE0DVfU1INvYvXgbeZYDy4eJrwLmDxN/AjhhF05TkiRJkqRtchoQSZIkSZIkSVLfWVkt\nSZIkSZIkSeo7K6slSZIkSZIkSX1nZbUkSZI0iSXZLcm3klzbtvdNckOS+9rnPj1pT0+yOsm9SY7t\niR+Z5I6277wkafHnJLmixVcmmTvR1ydJkiQNsrJakiRJmtzeDdzTs30acGNVzQNubNskOQxYChwO\nLAHOT7Jby3MB8DZgXluWtPjJwGNVdShwLnD2+F6KpCQXJ9mQ5M6emI1QkiRhZbUkSZI0aSU5EHgd\n8Ime8HHAira+Aji+J355VT1ZVQ8Aq4GjkuwP7FlVt1RVAZcOyTN4rKuAxYMVXpLGzSU83WA0yEYo\nSZIYRWV1koOSfCXJ3UnuSvLuFrflV5IkSRpffwH8MfDzntjsqlrX1h8BZrf1OcDDPenWtNictj40\nvlWeqtoCPA7sN4bnL2mIqvoqsGlI2EYoSZIYXc/qLcD7quowYBFwamvdteVXkiRJGidJXg9sqKpv\nbCtNq6SqCTqfU5KsSrJq48aNE/GV0kxiI5QkSYyisrqq1lXVN9v6j+jmy5uDLb+SJEnSeHo58IYk\nDwKXA69O8ilgffttTfvc0NKvBQ7qyX9gi61t60PjW+VJMgvYC3h0uJOpqguramFVLRwYGNj1q5M0\nLBuhJEkz2Q7NWd2m5zgCWIktv5IkSdK4qarTq+rAqppLN3Lxpqp6C3ANsKwlWwZc3davAZa2KfYO\noRvJeGv7zb45yaLWIeSkIXkGj/Wm9h0TUkkmaSs2QkmSxA5UVid5AfA54D1Vtbl330S1/NrqK0mS\nJHEWcEyS+4Cj2zZVdRdwJXA38CXg1Kp6quV5O91LGlcD9wPXt/hFwH5JVgPvpU3tJ2nC2QglSRIw\nazSJkuxOV1H96ar6fAuvT7J/Va0bw5bfNdtr+a2qC4ELARYuXGhhK0mSpBmhqm4Gbm7rjwKLt5Fu\nObB8mPgqYP4w8SeAE8bwVCWNIMllwKuAFyVZA5xB1+h0ZZKTgYeAN0PXCJVksBFqC89shLoE2IOu\nAaq3EeqTrRFqE93IDEmSpoQRK6tbK+1FwD1VdU7PrsHW2rN4ZsvvZ5KcAxzA0y2/TyXZnGQR3TQi\nJwEfHXKsr2PLryRJkiRpmqqqE7exy0YoSdKMN5qe1S8H3grckeS2FvsAtvxKkiRJkiRJksbIiJXV\nVfU1INvYbcuvJEmSJEmSJGmXjfoFi5IkSZIkSZIkjRcrqyVJkiRJkiRJfTeaOaslSZIkSZLUJ3NP\n+2K/T0GSJoQ9qyVJkiRJkiRJfWdltSRJkiRJkiSp76yslmawJLsl+VaSa9v2vkluSHJf+9ynJ+3p\nSVYnuTfJsT3xI5Pc0fadlyQt/pwkV7T4yiRzJ/r6JEmSJEmSNHVYWS3NbO8G7unZPg24sarmATe2\nbZIcBiwFDgeWAOcn2a3luQB4GzCvLUta/GTgsao6FDgXOHt8L0WSJEmSJElTmZXV0gyV5EDgdcAn\nesLHASva+grg+J745VX1ZFU9AKwGjkqyP7BnVd1SVQVcOiTP4LGuAhYP9rqWJEmSJGm6cfSytOus\nrJZmrr8A/hj4eU9sdlWta+uPALPb+hzg4Z50a1psTlsfGt8qT1VtAR4H9hvD85ckSZIkaTJx9LK0\ni6yslmagJK8HNlTVN7aVpvWUrgk4l1OSrEqyauPGjeP9dZIkSZIkjTlHL0tjw8pqaWZ6OfCGJA8C\nlwOvTvIpYH0rHGmfG1r6tcBBPfkPbLG1bX1ofKs8SWYBewGPDj2RqrqwqhZW1cKBgYGxuTpphkpy\ncZINSe7siZ2ZZG2S29ry2p59Dj2UJEmSxoajl6UxYGW1NANV1elVdWBVzaUbenRTVb0FuAZY1pIt\nA65u69cAS1tF1SF0Q5FubYXu5iSLWmXWSUPyDB7rTe07xr2ntjTDXcLTwwR7nVtVC9pyHTj0UJIk\nSRorjl6Wxo6V1ZJ6nQUck+Q+4Oi2TVXdBVwJ3A18CTi1qp5qed5ON8xpNXA/cH2LXwTsl2Q18F7a\n3FySxk9VfRXYNMrkDj2UJEmSxoajl6UxYmW1NMNV1c1V9fq2/mhVLa6qeVV1dFVt6km3vKp+qape\nWlXX98RXVdX8tu8dg72nq+qJqjqhqg6tqqOq6rsTf3WSmncmub1NEzL4BvJxG3pobw5JkiTNJI5e\nlsaOldWSJE1vFwAvBhYA64CPjPcX2ptDkiRJAhy9LO2wWf0+AUmSNH6qav3gepKPA9e2zV0Zerhm\ne0MPJUmSpJmqqm4Gbm7rjwKLt5FuObB8mPgqYP4w8SeAE8bwVKVJyZ7VkiRNY4Nz5DVvBO5s6w49\nlCRJkiRNKvasliRpmkhyGfAq4EVJ1gBnAK9KsoDuzeMPAn8A3dDDJINDD7fwzKGHlwB70A077B16\n+Mk29HAT3Xx8kiRJkiSNCSurJUmaJqrqxGHCF20nvUMPJUmSJEmThtOASJIkSZNQkucmuTXJt5Pc\nleSDLb5vkhuS3Nc+9+nJc3qS1UnuTXJsT/zIJHe0fee1aX5oUwFd0eIrk8yd6OuUJEmSBllZLUmS\nJE1OTwKvrqqXAQuAJUkWAacBN1bVPODGtk2Sw+im5zkcWAKcn2S3dqwLgLfRzU8/r+0HOBl4rKoO\nBc4Fzp6IC5P0TElemuS2nmVzkvckOTPJ2p74a3vy7FADlSRJk92IldVJLk6yIcmdPbExKyztzSFJ\nkiQ9U3V+3DZ3b0sBxwErWnwFcHxbPw64vKqerKoHgNXAUe1Fq3tW1S3tpaiXDskzeKyrgMVWakn9\nUVX3VtWCqloAHAn8FPhC233u4L6qug52uoFKkqRJbTQ9qy9h+IJtrApLe3NIkiRJw0iyW5LbgA3A\nDVW1EphdVetakkeA2W19DvBwT/Y1LTanrQ+Nb5WnqrYAjwP7jcOlSNoxi4H7q+qh7aTZmQYqSZIm\ntRErq6vqq8CmUR7P3hySJEnSGKmqp1ovywPpflfPH7K/6Hpbj7skpyRZlWTVxo0bJ+IrpZlsKXBZ\nz/Y7k9zeRj4PzlO/Mw1UW/G+liRNNrsyZ/VYFZb25pAkSZK2o6p+CHyFbnTi+tYZhPa5oSVbCxzU\nk+3AFlvb1ofGt8qTZBawF/DoNs7hwqpaWFULBwYGxuKyJA0jybOBNwCfbaELgBfTzV2/DvjIWH2X\n97UkabLZ2crqcSsst8dWX0mSJM0USQaS7N3W9wCOAb4DXAMsa8mWAVe39WuApe2dMIfQTb13a5sy\nZHOSRW0E40lD8gwe603ATa23tqT+eQ3wzapaD1D1/7d3/8GWlPWdx9+fMMJaGowCsgiTDFnBDbIR\nlwlho0mpiBJNZUxWdKysYi0rm0gSjZbLEKs2qWxRNSZZWBOjWQIU4KrIIkZWfhhEE9cqfji6yE+R\nUXCZCTqjEDG7K8ngd//o58rhcmfmzr3nnu57zvtVNXW7nz7d/e0559v9nOc8/XR9q91l8QPgL4AT\n2uuW8gOVJEmDtqTG6jFfLO3NIUmSJD3ZYcBnk9wGfIFuzOpPApuBk5PcC7y8zVNVdwKXA3cB1wFn\nVtVjbVtvBS6gG6bva8C1rfxC4KAkW4F3AJsmcWCS9ugNjAwBMncnRfMrwB1teik/UEmSNGhrlrJS\nksNGHuoy/2L54STnAs/h8YvlY0keSXIicDPdxfJPR9Y5DbgRe3NIkiRJAFTVbcALFyj/Dt3D1xZa\n5xzgnAXKtwDHLlD+feDUZQcraSySPI3uLop/P1L8h0mOoxuf/v65ZVV1Z5K5H6h28eQfqC4Gnkr3\n49S1SJK0Cuy1sTrJR4CXAAcn2Qb8HvCSMV4sLwQ+2HpzPET3IAlJkqSps27T1X2HIEkasKr6P8x7\nhlNVvXEPr9+nH6gkSRq6vTZWV9UbFii+cA+vtzeHJEmSJEmSJGmfLPUBi5IkSZIkSZIkjY2N1ZIk\nSZIkSZKk3tlYLUmSJEmSJEnqnY3VkiRJkiRJkqTe2VgtSZIkSZIkSerdmr4D0PKt23R13yFIkiRJ\nkiRJ0rLYs1qSJEmSJEmS1DsbqyVJkiRJkiRJvXMYEEmSJEmSpJ45xKck2bNakiRJkiRJkjQANlZL\nkiRJkiRJknpnY7UkSZIkSZIkqXc2VkuSJEmSJEmSemdjtSRJkiRJkiSpdzZWS5I0JZJclGRHkjtG\nyp6V5Pok97a/zxxZdnaSrUnuSfLKkfLjk9zelv1JkrTyA5J8tJXfnGTdJI9PkiRJkjTdbKyWJGl6\nXAycMq9sE3BDVR0F3NDmSXIMsBF4flvn/Un2a+t8AHgLcFT7N7fN04GHq+q5wHnAe1bsSCRJkiRJ\nM8fGakmSpkRVfQ54aF7xBuCSNn0J8JqR8suq6tGqug/YCpyQ5DDgwKq6qaoKuHTeOnPbugI4aa7X\ntSRJkiRJy2VjtSRJ0+3QqnqwTX8TOLRNHw48MPK6ba3s8DY9v/wJ61TVLuC7wEErE7YkSZIkadbY\nWC1J0oxoPaVrpfeT5IwkW5Js2blz50rvTpIkSZI0JWysliRpun2rDe1B+7ujlW8H1o687ohWtr1N\nzy9/wjpJ1gDPAL4zf4dVdX5Vra+q9YcccsgYD0WSJEmSNM1srJYkabpdBZzWpk8DPjFSvjHJAUmO\npHuQ4i1tyJBHkpzYxqN+07x15rb1WuAzrbe2pBWQZG2Szya5K8mdSd7Wyp+V5Pok97a/zxxZ5+wk\nW5Pck+SVI+XHJ7m9LfuTufHm2zngo6385iTrJn2ckh6X5P6Wq7cm2dLKxpbzkiQN3V4bq5NclGRH\nkjtGyqwgS5I0MEk+AtwIPC/JtiSnA5uBk5PcC7y8zVNVdwKXA3cB1wFnVtVjbVNvBS6ge+ji14Br\nW/mFwEFJtgLvADZN5MCk2bULeGdVHQOcCJyZ5Bi63Luhqo4CbmjztGUbgecDpwDvT7Jf29YHgLfQ\n/TB1VFsOcDrwcFU9FzgPeM8kDkzSHr20qo6rqvVtfpw5L0nSoK1ZxGsuBt4HXDpSNnex3JxkU5s/\na97F8jnAp5Mc3b78zl0sbwauobtYXstIBTnJRroK8uvHcXCSJM2SqnrDbhadtJvXnwOcs0D5FuDY\nBcq/D5y6nBglLV670+HBNv29JHfTPeh0A/CS9rJLgL8Gzmrll1XVo8B97YelE5LcDxxYVTcBJLkU\neA1dXXwD8PttW1cA70sS75qQBmWcOS+N1bpNV+922f2bXz3BSCRNi732rK6qzwEPzSveQHeRpP19\nzUj5ZVX1aFXdR9cj64Q2RuaBVXVTq/heOm+duW1dAZzkLUqSJEnS49rdhy+k6/hxaGvIBvgmcGib\nPhx4YGS1ba3s8DY9v/wJ61TVLuC7wEFjPwBJi1V0nb6+mOSMVjbOnJckadAW07N6IXu6WN408rq5\ni+I/ssgKcpK5CvK3lxibJEmSNDWSPB34GPD2qnpktF9HVVWSifSCbg1nZwD8+I//+CR2Kc2iF1fV\n9iTPBq5P8pXRhePOefNakjQ0y37AYuspPbEKcpItSbbs3LlzEruUJEmSepPkKXQN1R+qqitb8bfa\nnYu0vzta+XZg7cjqR7Sy7W16fvkT1kmyBngG8J2FYqmq86tqfVWtP+SQQ5Z7aJIWUFXb298dwMeB\nExhvzs/fn3ktSRqUpTZWW0GWJEmSVlAbGu9C4O6qOndk0VXAaW36NOATI+Ub2wPMj6R7qNot7Y7I\nR5Kc2Lb5pnnrzG3rtcBnHK9a6keSpyX50blp4BXAHYw35yVJGrSlNlZbQZYkSZJW1ouANwIvS3Jr\n+/cqYDNwcpJ7gZe3earqTuBy4C7gOuDM9qBzgLcCF9A9U+ZrPP6gtQuBg9qD2d5B9+B0Sf04FPh8\nki8DtwBXV9V1jDfnJUkatL2OWZ3kI3RPHj44yTbg9+gujpcnOR34BvA66C6WSeYulrt48sXyYuCp\ndBfK0QryB1sF+SFg41iOTJIkSVrFqurzwO4ePH7SbtY5BzhngfItwLELlH8fOHUZYUoak6r6OvCC\nBcq/w5hyXpKkodtrY3VVvWE3i6wgS6tUkrXApXS9Nwo4v6rem+RZwEeBdcD9wOuq6uG2ztnA6cBj\nwG9X1ada+fE8/kPUNcDb2oNfDmj7OJ5uaJ/XV9X9EzpESZIkSZIkrTJ7bayWNJV2Ae+sqi+1cfG+\nmOR64M3ADVW1OckmuluBz0pyDN1dD88HngN8OsnR7c6JDwBvAW6ma6w+he7OidOBh6vquUk2Au8B\nXj/Ro5SkGbFu09W7XXb/5ldPMBJJkqTZY4cwaXyWOma1pFWsqh6sqi+16e8BdwOHAxuAS9rLLgFe\n06Y3AJdV1aNVdR/d2HcntAesHlhVN7Wx5i+dt87ctq4ATmpj1kuSJEmSNE3mOoQdA5wInNk6fW2i\n6xB2FHBDm2deh7BTgPcn2a9ta65D2FHt3ymt/IcdwoDz6DqESVPHxmppxiVZB7yQrmf0oe2BqADf\npPtVGLqG7AdGVtvWyg5v0/PLn7BOVe0CvgsctMD+z0iyJcmWnTt3juGIJEmSJEmaHDuESePjMCDS\nDEvydOBjwNur6pHR61y7zahWOoaqOh84H2D9+vUrvj9JkiRJ6sOehu3S9NiHDmE3jaw21/HrH1lk\nh4u7Pn0AABOhSURBVLAkcx3Cvj32g5B6ZM9qaUYleQpdQ/WHqurKVvyt9ksu7e+OVr4dWDuy+hGt\nbHubnl/+hHWSrAGeQTeuliRJkiRJU2d+h7DRZa2n9Ip30PLuZa129qzWHvnApunUbhW6ELi7qs4d\nWXQVcBqwuf39xEj5h5OcS/eAxaOAW6rqsSSPJDmR7lfjNwF/Om9bNwKvBT7TLs6SJEmSJE2VPXUI\nq6oHx9ghbNueOoR597JWO3tWS7PpRcAbgZclubX9exVdI/XJSe4FXt7mqao7gcuBu4DrgDOr6rG2\nrbcCF9CNsfU14NpWfiFwUJKtwDtoD5KQJEmSJGmaLKJDGDy5Q9jGJAckOZLHO4Q9CDyS5MS2zTfN\nW2duW3YI09SyZ7U0g6rq88DuHsRw0m7WOQc4Z4HyLcCxC5R/Hzh1GWFKkiRJkrQazHUIuz3Jra3s\nd+k6gF2e5HTgG8DroOsQlmSuQ9guntwh7GLgqXSdwUY7hH2wdQh7CNi40gcl9cHGakmSJEmSJGmJ\n7BAmjY/DgEiSJEmSJEmSemdjtSRJkiRJkiSpdzZWS5IkSZIkSZJ6Z2O1JEmSJEmSJKl3NlZLkiRJ\nkiRJknpnY7UkSZIkSZIkqXc2VkuSJEmSJEmSemdjtSRJkiRJkiSpdzZWS5IkSZIkSZJ6Z2O1JEkz\nIMn9SW5PcmuSLa3sWUmuT3Jv+/vMkdefnWRrknuSvHKk/Pi2na1J/iRJ+jgeSZIkSdL0sbFakqTZ\n8dKqOq6q1rf5TcANVXUUcEObJ8kxwEbg+cApwPuT7NfW+QDwFuCo9u+UCcYvSZIkSZpiNlZLkjS7\nNgCXtOlLgNeMlF9WVY9W1X3AVuCEJIcBB1bVTVVVwKUj60iSJEmStCxr+g5AkiRNRAGfTvIY8F+r\n6nzg0Kp6sC3/JnBomz4cuGlk3W2t7B/b9PxyNes2Xd13CJoySS4CfgnYUVXHtrJnAR8F1gH3A6+r\nqofbsrOB04HHgN+uqk+18uOBi4GnAtcAb6uqSnIA3Q9PxwPfAV5fVfdP6PAkjUiyli4fD6W7bp9f\nVe9N8vt0dzXtbC/93aq6pq2zTzk/uaORJGlpltWz2vEvJUlaNV5cVccBvwicmeQXRhe2L7Bj+RKb\n5IwkW5Js2blz595XkLQnF/Pk4XbGOYTP6cDDVfVc4DzgPSt2JJL2Zhfwzqo6BjiR7np9TFt2XhvK\n67iRhmqH7ZIkTZ1x9Kx+aVV9e2R+rvK8OcmmNn/WvAvpc+h6dx1dVY/x+IX0ZrpffU8Brh1DbJIk\nCaiq7e3vjiQfB04AvpXksKp6sA3xsaO9fDuwdmT1I1rZ9jY9v3z+vs4HzgdYv369vbikZaiqzyVZ\nN694A/CSNn0J8NfAWYwM4QPcl2RuCJ/7aUP4ACSZG8Ln2rbO77dtXQG8L0nsgSlNXrvb6cE2/b0k\nd7PnO5iWkvNaYd5lJUnLsxJjVjv+pSRJA5LkaUl+dG4aeAVwB3AVcFp72WnAJ9r0VcDGJAckOZKu\nR9Yt7Uv0I0lObHdBvWlkHUmTs6chfB4Yed3cUD2Hs/shfH64TlXtAr4LHLQyYUtarPYj1QvpOnQB\n/FaS25JcNHL38lJyXpKkQVtuY/Xc+JdfTHJGKxtn5fkJvK1YkqQlORT4fJIvA7cAV1fVdcBm4OQk\n9wIvb/NU1Z3A5cBdwHXAme1OKIC3AhfQ/ej8NeylJfVqnEP47I11cWkykjwd+Bjw9qp6hO5O5J8E\njqPref2fx7gv81qSNCjLHQbkxVW1PcmzgeuTfGV0YXtoy9gqz7N8W7G3EkmSlqqqvg68YIHy7wAn\n7Wadc4BzFijfAhw77hgl7ZNxDuEzt862JGuAZ9A9aPFJZrkuLk1KkqfQNVR/qKquBKiqb40s/wvg\nk212WcN2tW2b15KkQVlWY/Ukx7+UJEmSBDw+hM9mnjyEz4eTnEv3jJi5IXweS/JIkhPphhR4E/Cn\n87Z1I/Ba4DOOV62lsoPN8rQhti4E7q6qc0fKDxu5e/lX6IbygqXlvCRJg7bkYUAc/1KSJElaWUk+\nQteQ/Lwk25KczniH8LkQOKg9mO0ddA9Hl9SPFwFvBF6W5Nb271XAHya5PcltwEuB3wGH7ZIkTafl\n9Kw+FPh4177MGuDDVXVdki8Al7eK9DeA10F3IU0ydyHdxZMvpBcDT6W7iHohlSRJ0syrqjfsZtFY\nhvCpqu8Dpy4nRknjUVWfB7LAomv2sI7DdkmSpsqSG6sd/1KSJEmSJEmSNC5LHgZEkiRJkiRJkqRx\nsbFakiRJkiRJktS75YxZrRm3t6d937/51ROKRJIkSZIkSdJqZ89qSZIkSZIkSVLv7FktSZI0xbwT\nSpKk8dnbdVWStDz2rJYkSZIkSZIk9c7GakmSJEmSJElS72ysliRJkiRJkiT1zjGrJUmS9oFjVUqS\nJEnSyrBntSRJkiRJkiSpdzZWS5IkSZIkSZJ6Z2O1JEmSJEmSJKl3NlZLkiRJkiRJknrnAxYHwoc1\nSZIkSZLUP7+fS1J/7FktSZIkSZIkSeqdjdWSJEmSJEmSpN45DIhWzJ5unbp/86snGIkkSYvnrb+S\nJEmS1A97VkuSJEmSJEmSemfPakmSpBnmnVCSFss7TzQt/CxL0nDZs1qSJEmSJEmS1DsbqyVJkiRJ\nkiRJvRvMMCBJTgHeC+wHXFBVm3sOaey81UizaBZyW5o105DXXpOlJ5qGvNZ4eH6cHrOe136WNY1m\nPa81GwbRWJ1kP+DPgJOBbcAXklxVVXf1G5lWiuNjzgZzW5o+5rU0fczr2WMj3vQzrzUEfu8fL/Na\ns2IQjdXACcDWqvo6QJLLgA2ACSetbua2FsUvzavKqshrP1Pjsbf/R79oTo1Vkdd6Is9z2ouZyGvz\nQDNmJvJaGkpj9eHAAyPz24Cf7SmWPfJiuPKW83/sl+bBWTW5PUs8j2mZBpPXfpb75zV7agwmr4fI\nc41WqVWT1+aYtGirJq+l5RhKY/WiJDkDOKPN/n2Se3oI42Dg2z3sdyVMy7H88Djynt5i+Ine9rzK\n9ZDXQ//cDzm+IccGC8S3zHOCeb1EY8jroXzWhhIHDCeWscWxzPxcThzm9hItMbeH8tndF6st5qmI\n12t2P/Yxr4fyWRtCHEOIAVZxHIvIefN6iSbwHfvgvGcQn7tJG0q+9WFcx76ovB5KY/V2YO3I/BGt\n7Amq6nzg/EkFtZAkW6pqfZ8xjMu0HMu0HMeU2mtuTzqvh/55GXJ8Q44Nhh/fFFnxvB7KezmUOGA4\nsRjH1FqxuvhqfK9WW8zGq90Ye14P5b0bQhxDiME4ZtIg2s5m9f2e1eOGyR/7j0xqR3vxBeCoJEcm\n2R/YCFzVc0ySls/clqaPeS1NH/Namj7mtTR9zGvNhEH0rK6qXUl+E/gUsB9wUVXd2XNYkpbJ3Jam\nj3ktTR/zWpo+5rU0fcxrzYpBNFYDVNU1wDV9x7EIvQ5DMmbTcizTchxTaYC5PfTPy5DjG3JsMPz4\npsYE8noo7+VQ4oDhxGIcU2oF83o1vlerLWbj1YJWIK+H8t4NIY4hxADGMXMG8v16Vt/vWT1umPCx\np6omuT9JkiRJkiRJkp5kKGNWS5IkSZIkSZJmmI3VS5Dk1CR3JvlBklX3JNAkpyS5J8nWJJv6jmep\nklyUZEeSO/qORatLkv+U5LYktyb5qyTP6TumOUn+KMlXWnwfT/Jjfcc0aojnv2k5p2lhSd6ZpJIc\n3NP+e83JoXy+k6xN8tkkd7VzwNv6iqXFs1+S/5Xkk33GocVL8lstl+5M8od9x7MYfZ9/9kXf56rF\nGso5TcvTd24MpS4/lLzru35uXs+OWX2vh1YPnrQ+6t02Vi/NHcCvAp/rO5B9lWQ/4M+AXwSOAd6Q\n5Jh+o1qyi4FT+g5Cq9IfVdVPV9VxwCeB/9h3QCOuB46tqp8Gvgqc3XM88w3q/Ddl5zTNk2Qt8Arg\nf/cYRm85ObDP9y7gnVV1DHAicGbPufY24O4e9699kOSlwAbgBVX1fOCPew5prwZy/tkXQ68/DO2c\npiUaSG4MpS4/lLzrrX5uXs+OGX+vh1YPnrSJ17ttrF6Cqrq7qu7pO44lOgHYWlVfr6p/AC6j+/Kw\n6lTV54CH+o5Dq09VPTIy+zRgMIP3V9VfVdWuNnsTcESf8cw3wPPf1JzTtKDzgP9Ajznac04O5vNd\nVQ9W1Zfa9PfoKqyH9xFLkiOAVwMX9LF/LclvAJur6lGAqtrRczyL0fv5Z18Mvf7QDOacpmXpPTeG\nUpcfSt71XD83r2fHzL7XQ6oHT1pf9W4bq2fP4cADI/PbmJEkk0YlOSfJA8CvMaye1aP+LXBt30EM\nnOe0KZVkA7C9qr7cdywjJp2Tg/x8J1kHvBC4uacQ/gtdQ8kPetq/9t3RwM8nuTnJ3yT5mb4D2pOB\nnn/2xVDrD4M8p2nxhpQbA6zLDzXvVpp5PTt8rxlEPXjSeql3r5nkzlaTJJ8G/ukCi95dVZ+YdDyS\n9s3ecriq3g28O8nZwG8CvzeU2Npr3k13u9GHJhXXHM9/mpQ9fdaA36W7zbjXOIaQk0OS5OnAx4C3\nz+vZNqn9/xKwo6q+mOQlk96/dm8v+bwGeBbdrbM/A1ye5CerqreemUM5/+wLz1WahKHkxlDq8kPJ\nO+vnUv/6rgdPWp/1bhurd6OqXt53DCtkO7B2ZP6IViZNlX3I4Q8B1zDBxuq9xZbkzcAvASf18UV+\nlZ3/PKetYrv7rCX5F8CRwJeTQPe+finJCVX1zUnFMRLPm+knJwf1+U7yFLoK+oeq6sqewngR8MtJ\nXgX8E+DAJP+tqv5NT/Go2VMeJfkN4MqWP7ck+QFwMLBzUvHNN5Tzz74Y8LlqsQZ1TtPChpIbQ6nL\nDyXvBlw/N69nx0y/1wOpB09ab/VuhwGZPV8AjkpyZJL9gY3AVT3HJE1UkqNGZjcAX+krlvmSnEJ3\nm80vV9X/7TueVcBz2hSqqtur6tlVta6q1tHdZvgv+2go6jknB/P5TtcycSFwd1Wd20cMAFV1dlUd\n0T4XG4HP2FC9Kvwl8FKAJEcD+wPf7jWi3RjS+WdfrJL6w2DOadp3Q8qNodTlV0nerTTzenbM7Hs9\nlHrwpPVZ77axegmS/EqSbcC/Aq5O8qm+Y1qs9gCI3wQ+RTco/OVVdWe/US1Nko8ANwLPS7Ityel9\nx6RVY3OSO5LcRncr49v6DmjE+4AfBa5PcmuSP+87oFFDO/9N0zlNg9VbTg7s8/0i4I3Ay9r/w62t\nl4W0GBcBP5nkDroHMp020J6/q9mg6w8wuHOaVreh1OUHkXd91s/N69kx4++19eAJi/VESZIkSZIk\nSVLf7FktSZIkSZIkSeqdjdWSJEmSJEmSpN7ZWC1JkiRJkiRJ6p2N1ZIkSZIkSZKk3tlYramQ5KIk\nO9pT5pe7rZ9I8qX2hNc7k/z6yLIjk9ycZGuSjybZf7n7k7Qw81qaPmPO6+OS3Nhy+rYkrx9Z9rKW\n83ckuSTJmuXuT9LCzGtp+kwwr08aqaN/Pslzl7s/Sbu3WnI7VbXc+KTeJfkF4O+BS6vq2GVua3+6\n3Hg0ydOBO4Cfq6q/TXI5cGVVXZbkz4EvV9UHln0Akp7EvJamz5jz+migqureJM8Bvgj8FPAI8A3g\npKr6apI/AL5RVRcuM3xJCzCvpekzibyuqr9L8lVgQ1XdneStwAlV9eblxi9pYaslt+1ZralQVZ8D\nHhotS/LPklyX5ItJ/meSf77Ibf1DVT3aZg+g5UmSAC8DrmjLLgFeM5YDkPQk5rU0fcac11+tqnvb\n9N8CO4BDgIOAf6iqr7aXXg/867EdhKQnMK+l6TOhvAYo4MA2/Qzgb8dyAJIWtFpy21unNM3OB369\n/crzs8D76Rql9irJWuBq4LnAu1rvy4OBv6uqXe1l24DDVyBuSbtnXkvTZ8l5PSfJCcD+wNfoKsdr\nkqyvqi3Aa4G1Y45Z0p6Z19L0GXdeA/w74Jok/4/uDooTxxivpMUZXG7bWK2p1G7z/zngv3cdJ4Gu\nNyVJfhX4gwVW215VrwSoqgeAn263MvxlkiuAx1Y8cEm7ZV5L02e5ed1edxjwQeC0qvpBK9sInJfk\nAOCvMNeliTGvpemzUnkN/A7wqqq6Ocm7gHPpGrkkTcBQc9vGak2rH6HrLXnc/AVVdSVw5WI20npe\n3gH8PPAx4MeSrGm9MI8Ato8xZkl7Zl5L02dZeZ3kQLo7Jt5dVTeNrHsjXY6T5BXA0eMMWtIemdfS\n9Bl7Xic5BHhBVd3cXvZR4LqxRi1pbwaZ245ZralUVY8A9yU5FbpxaZO8YDHrJjkiyVPb9DOBFwP3\nVPc00s/S3XYIcBrwibEHL2lB5rU0fZaZ1/sDH6d7QMwV85Y9u/09ADgL+POxBi5pt8xrafqsUF4/\nDDwj3UPaAE4G7h5j2JL2Yqi5bWO1pkKSjwA3As9Lsi3J6cCvAacn+TJwJ7BhkZv7KeDmtt7fAH9c\nVbe3ZWcB70iyle5BLz6BXFoh5rU0fcac168DfgF4c5Jb27+5XiHvSnI3cBvwP6rqM+M9EklzzGtp\n+kwir9tdjW8BPta2+UbgXWM/GEk/tFpyO12nMkmSJEmSJEmS+mPPakmSJEmSJElS72ysliRJkiRJ\nkiT1zsZqSZIkSZIkSVLvbKyWJEmSJEmSJPXOxmpJkiRJkiRJUu9srJYkSZIkSZIk9c7GakmSJEmS\nJElS72ysliRJkiRJkiT17v8DoChKzhEDe4EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119765c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 3\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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uSPKFJB9M8uwkhye5Ock97fmwnvwXJtmW5O4kp/akn5jk823fxWMLmrdBJle1\n9C1JVg7/LKW5N+Wc1VX18xPsWjNB/o3AxnHStwLHj5P+JHDWVMchSZImZ58tSZIkDV+S5cAbgGOr\n6l+SXA2sA44FbqmqTUk20A32eEuSY9v+44AXAh9N8qI2eOQS4FxgC3ADsJZu8Mg5wGNVdUySdcBF\nwGuHeqLSEMx0GhBJkiRJkiRJnSXAQW1tl+cA/wicDmxu+zcDZ7Tt04Erq+qpqrqX7o7Gk9oaMwdX\n1W1tur0r+sqM1XUNsGZs1LW0PzFYLUmSJEmSJM1QVe0E/gD4CvAA8HhV/Q2wrK0JA/AgsKxtLwfu\n76liR0tb3rb70/cqU1W7gceBIwZ+MtKIGayWJEmSJEmSZqjNRX06cDTdtB7PTfK63jxtpPScL06e\n5LwkW5Ns3bVr11y/nTRwBqslSZIkSZKkmTsFuLeqdlXVN4EPAz8KPNSm9qA9P9zy7wSO7Cm/oqXt\nbNv96XuVaVONHAI80n8gVXVpVa2uqtVLly4d0OlJw2OwWpIkSZIkSZq5rwAnJ3lOm0d6DXAXcB2w\nvuVZD1zbtq8D1iU5MMnRwCrg9jZlyBNJTm71nN1XZqyuM4Fb22htab+yZNQHIEmSJEmSJC1UVbUl\nyTXAp4HdwGeAS4HnAVcnOQe4D3hNy39HkquBO1v+C6pqT6vufOBy4CDgxvYAuAx4X5JtwKPAuiGc\nmjR0BqslSZIkSZKkWaiqtwJv7Ut+im6U9Xj5NwIbx0nfChw/TvqTwFmzP1JpfnMaEEmSJEmSJEnS\nyBmsliRJkiRJkiSNnMFqSZIkSZIkSdLIGayWJEmSJEmSJI2cwWpJkiRJkiRJ0sgZrJYkSZIkSZIk\njZzBakmSJEmSJEnSyBmsliRJkiRJkiSNnMFqSZIkSZIkSdLIGayWJEmSJEmSJI3cklEfgKZn5Ybr\nJ9y3fdNpQzyS6VuIxyxJ0mxM1vdJkiRJkibnyGpJkiRJkiRJ0sgZrJYkSZIkSZIkjZzBakmSJEmS\nJEnSyBmsliRJkiRJkiSNnMFqSZIkSZIkSdLIGayWJEmSJEmSJI2cwWpJkiRJkiRJ0sgZrJYkSZIk\nSZIkjZzBakmSJEmSJEnSyBmsliRJkiRJkiSNnMFqaRFLckCSzyT5SHt9eJKbk9zTng/ryXthkm1J\n7k5yak/6iUk+3/ZdnCQt/cAkV7X0LUlWDvv8JEmSJEmStHAYrJYWtzcCd/W83gDcUlWrgFvaa5Ic\nC6wDjgP5DPviAAAgAElEQVTWAu9OckArcwlwLrCqPda29HOAx6rqGOCdwEVzeyqSJEmSJElayAxW\nS4tUkhXAacB7epJPBza37c3AGT3pV1bVU1V1L7ANOCnJC4CDq+q2qirgir4yY3VdA6wZG3UtSZIk\nSZIk9TNYLS1efwj8JvCtnrRlVfVA234QWNa2lwP39+Tb0dKWt+3+9L3KVNVu4HHgiAEevyRJkiRJ\nkvYjBqulRSjJq4CHq+pTE+VpI6VrCMdyXpKtSbbu2rVrrt9OkiRJkiRJ85TBamlxehnw6iTbgSuB\nVyR5P/BQm9qD9vxwy78TOLKn/IqWtrNt96fvVSbJEuAQ4JH+A6mqS6tqdVWtXrp06WDOTpIkSZIk\nSQvOrILVSX4jyR1JvpDkg0meneTwJDcnuac9H9aT/8Ik25LcneTUnvQTk3y+7bvYeW2luVVVF1bV\niqpaSbdw4q1V9TrgOmB9y7YeuLZtXwesS3JgkqPpFlK8vU0Z8kSSk1u7PbuvzFhdZ7b3mPOR2pLG\nZ58tLTytnd6e5O9b+/2dlj6wttv69qta+pYkK4d9npIkSdKYGQerkywH3gCsrqrjgQPogl4bgFuq\nahVwS3tNkmPb/uOAtcC7kxzQqrsEOJcuALaq7Zc0fJuAVya5Bzilvaaq7gCuBu4EbgIuqKo9rcz5\ndIs0bgO+BNzY0i8DjkiyDXgT7Vogafjss6UF6yngFVX1EuAEYG2Skxls2z0HeKyqjgHeCVw0jBOT\nJEmSxjPbaUCWAAe1W/yfA/wjcDqwue3fDJzRtk8Hrqyqp6rqXrrA1kltqoGDq+q2Nuryip4ykuZY\nVX28ql7Vth+pqjVVtaqqTqmqR3vybayq76+qF1fVjT3pW6vq+Lbv18ZGT1fVk1V1VlUdU1UnVdWX\nh392knrYZ0sLTHX+qb18VnsUg227vXVdA6zxjglJkiSNyoyD1VW1E/gD4CvAA8DjVfU3wLI2NQDA\ng8Cytr0cuL+nih0tbXnb7k+XJEkDYJ8tLVxJDkjyWbp1JG6uqi0Mtu1+u0xV7QYeB46Yg1ORJEmS\nprRkpgXb3HinA0cDXwM+lOR1vXmqqpIMbI7aJOcB5wEcddRRg6pWM7Ryw/WjPgRJ0jQMu8+2vx6+\n2fTJk5Xdvum0GderwWjTbp2Q5FDgL5Mc37d/oH9vT8a2LQ1GkvcCrwIebtNzkeS36abq2dWy/VZV\n3dD2XUg3Zc8e4A1V9dct/UTgcuAg4Abgje2acCDdHRQn0i1w/tqq2j6Uk5MkaZZmMw3IKcC9VbWr\nqr4JfBj4UeChdqsh7fnhln8ncGRP+RUtbWfb7k9/hqq6tKpWV9XqpUuXzuLQJUlaVIbaZ9tfS4NX\nVV8DPkY31/Qg2+63y7Rpgg6hC26Ndwy2bWkwLmf8NR/eWVUntMdYoNq56CVJi8psgtVfAU5O8pw2\nr90a4C7gOmB9y7MeuLZtXwesayuOH03Xmd7ebmF8IsnJrZ6ze8pIkqTZs8+WFqAkS9uIapIcBLwS\n+CKDbbu9dZ0J3Dq2/oSkuVFVnwAenTJjx7noJUmLyoynAamqLUmuAT4N7AY+A1wKPA+4Osk5wH3A\na1r+O5JcDdzZ8l/QbmsEOJ+nb1+6sT0kSZqVqaZGWCxTHNhnSwvWC4DNbRTldwBXV9VHkvwtg2u7\nlwHvS7KNLni2bihnJmk8r09yNrAVeHNVPUY3r/xtPXnG5pz/JtOciz7J2Fz0X53bw5ckafZmHKwG\nqKq3Am/tS36KbsTWePk3AhvHSd8KHP/MEpIkaRDss6WFp6o+B7x0nPRHGFDbraongbNmfbCSZusS\n4HeBas//L/Arc/2mzkUvSZpvZjMNiCRJkiRJmqWqeqiq9lTVt4A/BU5qu5yLXpK0qBisliRJkiRp\nhMYWTW1+FvhC23YueknSojKraUAkSZIkSdL0Jfkg8HLg+Ul20E3T9fIkJ9BNA7Id+L/AueglSYuP\nwWpJkiRJkoakqn5+nOTLJsnvXPSSpEXDaUAkSZIkSZIkSSNnsFqSJEmSJEmSNHIGqyVJkiRJkiRJ\nI2ewWpIkSZIkSZqFJIcmuSbJF5PcleTfJDk8yc1J7mnPh/XkvzDJtiR3Jzm1J/3EJJ9v+y5OkpZ+\nYJKrWvqWJCuHf5bS3DNYLUmSJEmSJM3OHwE3VdUPAC8B7gI2ALdU1SrglvaaJMcC64DjgLXAu5Mc\n0Oq5BDgXWNUea1v6OcBjVXUM8E7gomGclDRsBqslSZIkSZKkGUpyCPATwGUAVfWvVfU14HRgc8u2\nGTijbZ8OXFlVT1XVvcA24KQkLwAOrqrbqqqAK/rKjNV1DbBmbNS1tD8xWC1JkiRJkiTN3NHALuDP\nknwmyXuSPBdYVlUPtDwPAsva9nLg/p7yO1ra8rbdn75XmaraDTwOHDEH5yKNlMFqSZIkSZIkaeaW\nAD8MXFJVLwW+QZvyY0wbKV1zfSBJzkuyNcnWXbt2zfXbSQNnsFqSJEmSJEmauR3Ajqra0l5fQxe8\nfqhN7UF7frjt3wkc2VN+RUvb2bb70/cqk2QJcAjwSP+BVNWlVbW6qlYvXbp0AKcmDZfBakmSJEmS\nJGmGqupB4P4kL25Ja4A7geuA9S1tPXBt274OWJfkwCRH0y2keHubMuSJJCe3+ajP7iszVteZwK1t\ntLa0X1ky6gOQJEmSJEmSFrjXAx9I8p3Al4FfphskenWSc4D7gNcAVNUdSa6mC2jvBi6oqj2tnvOB\ny4GDgBvbA7rFG9+XZBvwKLBuGCclDZvBakmSJEmSJGkWquqzwOpxdq2ZIP9GYOM46VuB48dJfxI4\na5aHKc17TgMiSZIkSZIkSRo5R1bvB1ZuuH7S/ds3nTakI5Ekaf83Vb873+qVJEmSpIXCkdWSJEmS\nJEmSpJEzWC1JkiRJkiRJGjmD1ZIkSZIkSZKkkTNYLUmSJEmSJEkaOYPVkiRJkiRJkqSRM1gtSZIk\nSZIkSRo5g9WSJEmSJEmSpJEzWC1JkiRJkiRJGjmD1ZIkSZIkSZKkkTNYLUmSJEmSJEkaOYPVkiRJ\nkiRJkqSRM1gtSZIkSZIkSRo5g9XSIpTk2UluT/L3Se5I8jst/fAkNye5pz0f1lPmwiTbktyd5NSe\n9BOTfL7tuzhJWvqBSa5q6VuSrBz2eUqSJEmSJGnhMFgtLU5PAa+oqpcAJwBrk5wMbABuqapVwC3t\nNUmOBdYBxwFrgXcnOaDVdQlwLrCqPda29HOAx6rqGOCdwEXDODFJkiRJkiQtTAarpUWoOv/UXj6r\nPQo4Hdjc0jcDZ7Tt04Erq+qpqroX2AaclOQFwMFVdVtVFXBFX5mxuq4B1oyNupYkSZIkSZL6GayW\nFqkkByT5LPAwcHNVbQGWVdUDLcuDwLK2vRy4v6f4jpa2vG33p+9Vpqp2A48DR8zBqUiSJEmSJGk/\nYLBaWqSqak9VnQCsoBslfXzf/qIbbT2nkpyXZGuSrbt27Zrrt5MkSZIkSdI8NatgdZJDk1yT5ItJ\n7krybwa5QJukuVdVXwM+RjfX9ENtag/a88Mt207gyJ5iK1razrbdn75XmSRLgEOAR8Z5/0uranVV\nrV66dOmgTktSH/tsSZIkSdJ8N9uR1X8E3FRVPwC8BLiLwS7QJmkOJFma5NC2fRDwSuCLwHXA+pZt\nPXBt274OWJfkwCRH07XT29uUIU8kObkFrM7uKzNW15nArW20tqTRsM+WJEmSJM1rMw5WJzkE+Ang\nMoCq+tc2QnOQC7RJmhsvAD6W5HPA39HNWf0RYBPwyiT3AKe011TVHcDVwJ3ATcAFVbWn1XU+8B66\nNv0l4MaWfhlwRJJtwJtoQTBJw2efLUmSJElaCJbMouzRwC7gz5K8BPgU8EYmX6Dttp7yYwuxfZOJ\nF2jbS5LzgPMAjjrqqFkc+uKycsP1oz4EzTNV9TngpeOkPwKsmaDMRmDjOOlbgePHSX8SOGvWBytp\nEIbaZ9tfazom+/tk+6bThngkkiRJkuaL2UwDsgT4YeCSqnop8A36Rk4OeoE257aVJGlGhtpn219L\nkiRJkmZiNsHqHcCOqtrSXl9D94/wIBdokyRJs2efLUmSJEma92YcrK6qB4H7k7y4Ja2hm892kAu0\nSZKkWbLPliRJkiQtBLOZsxrg9cAHknwn8GXgl+kC4FcnOQe4D3gNdAu0JRlboG03z1yg7XLgILrF\n2W5EkiQNkn22JEmSJGlem1Wwuqo+C6weZ9dAFmiTJEmDYZ8tSZIkSZrvZjNntSRJkiRJkiRJA2Gw\nWpIkSZIkSZI0cgarJUmSJEmSJEkjZ7BakiRJkiRJkjRyBqslSZIkSZIkSSNnsFqSJEmah5IcmeRj\nSe5MckeSN7b0w5PcnOSe9nxYT5kLk2xLcneSU3vST0zy+bbv4iRp6Qcmuaqlb0myctjnKUmSJI0x\nWC1JkiTNT7uBN1fVscDJwAVJjgU2ALdU1Srglvaatm8dcBywFnh3kgNaXZcA5wKr2mNtSz8HeKyq\njgHeCVw0jBOTJEmSxmOwWpIkSZqHquqBqvp02/46cBewHDgd2NyybQbOaNunA1dW1VNVdS+wDTgp\nyQuAg6vqtqoq4Iq+MmN1XQOsGRt1LWluJHlvkoeTfKEnzTsmJEnCYLUkSZI077Vg00uBLcCyqnqg\n7XoQWNa2lwP39xTb0dKWt+3+9L3KVNVu4HHgiIGfgKRel/P03Q1jvGNCkiQMVkuSJEnzWpLnAX8B\n/HpVPdG7r42UriEdx3lJtibZumvXrmG8pbRfqqpPAI/2JXvHhCRJGKyWJEmS5q0kz6ILVH+gqj7c\nkh9qgSra88MtfSdwZE/xFS1tZ9vuT9+rTJIlwCHAI+MdS1VdWlWrq2r10qVLZ3tqkvbmHROSJAFL\nRn0AkiRJkp6pjYS8DLirqt7Rs+s6YD2wqT1f25P+50neAbyQblqA26tqT5InkpxMN43I2cC7+ur6\nW+BM4NY2SlPSiFRVJRnaHRPAeQBHHXXUMN5yn6zccP2k+7dvOm1IRyJJGhZHVkuSJEnz08uAXwRe\nkeSz7fEzdEHqVya5Bzilvaaq7gCuBu4EbgIuqKo9ra7zgffQTSHwJeDGln4ZcESSbcCbaPPkSho6\n75iQJAlHVkuSJEnzUlV9Ephontk1E5TZCGwcJ30rcPw46U8CZ83iMCUNhndMSJKEwWpJkiRJkoYm\nyQeBlwPPT7IDeCtdkPrqJOcA9wGvge6OiSRjd0zs5pl3TFwOHER3t0TvHRPva3dMPAqsG8JpSZI0\nEAarJUmSJEkakqr6+Ql2eceEtMAlOQDYCuysqlclORy4ClgJbAdeU1WPtbwXAucAe4A3VNVft/QT\nefqLqBuAN7a57A8ErgBOpJva57VVtX1oJycNicHqIZpqcYjFZLKfhYtkSJIkSZKkBeiNwF3Awe31\nBuCWqtqUZEN7/ZYkx9Ld9XAc3RQ/H03yonbnxCXAuXRT/NwArKW7c+Ic4LGqOibJOuAi4LXDOzVp\nOFxgUZIkSZIkSZqFJCuA0+gWNB5zOrC5bW8GzuhJv7Kqnqqqe+kWQD6pLbB6cFXd1uaav6KvzFhd\n1wBrkky0toW0YBmsliRJkiRJkmbnD4HfBL7Vk7asqh5o2w8Cy9r2cuD+nnw7Wtrytt2fvleZqtoN\nPA4cMcDjl+YFg9WSJEmSJEnSDCV5FfBwVX1qojxtpHQN4VjOS7I1ydZdu3bN9dtJA2ewWpIkSZIk\nSZq5lwGvTrIduBJ4RZL3Aw+1qT1ozw+3/DuBI3vKr2hpO9t2f/peZZIsAQ6hW2hxL1V1aVWtrqrV\nS5cuHczZSUNksFqSJEmSJEmaoaq6sKpWVNVKuoUTb62q1wHXAetbtvXAtW37OmBdkgOTHA2sAm5v\nU4Y8keTkNh/12X1lxuo6s73HnI/UloZtyagPQJIkSZIkSdoPbQKuTnIOcB/wGoCquiPJ1cCdwG7g\ngqra08qcD1wOHATc2B4AlwHvS7INeJQuKC7tdwxWS5IkSZKkkVi54fpRH4I0UFX1ceDjbfsRYM0E\n+TYCG8dJ3wocP076k8BZAzxUaV5yGhBJkiRJkiRJ0sgZrJYkSZIkSZIkjZzBakmSJEmSJEnSyBms\nliRJkiRJkiSNnMFqSZIkSZIkSdLIGayWJEmSJEmSJI2cwWpJkiRJkiRJ0sgZrJYWoSRHJvlYkjuT\n3JHkjS398CQ3J7mnPR/WU+bCJNuS3J3k1J70E5N8vu27OEla+oFJrmrpW5KsHPZ5SpIkSZIkaeEw\nWC0tTruBN1fVscDJwAVJjgU2ALdU1Srglvaatm8dcBywFnh3kgNaXZcA5wKr2mNtSz8HeKyqjgHe\nCVw0jBOTJEmSJEnSwmSwWlqEquqBqvp02/46cBewHDgd2NyybQbOaNunA1dW1VNVdS+wDTgpyQuA\ng6vqtqoq4Iq+MmN1XQOsGRt1LUmSJEmSJPVbMtsK2ujKrcDOqnpVksOBq4CVwHbgNVX1WMt7Id1o\nyz3AG6rqr1v6icDlwEHADcAbW+BL0hxr03O8FNgCLKuqB9quB4FlbXs5cFtPsR0t7Zttuz99rMz9\nAFW1O8njwBHAVwd+EpKmZH8tSZJGYeWG60d9CJKkBWQQI6vfSDcqc8wgpxGQNIeSPA/4C+DXq+qJ\n3n0tADXnQagk5yXZmmTrrl275vrtpMXM/lqSJEmSNK/NKlidZAVwGvCenuRBTiMgaY4keRZdoPoD\nVfXhlvxQa5O054db+k7gyJ7iK1razrbdn75XmSRLgEOAR/qPo6ourarVVbV66dKlgzg1SX3sryVJ\nkiRJC8FsR1b/IfCbwLd60iabRuD+nnxj0wUsZ+JpBCTNgTZ39GXAXVX1jp5d1wHr2/Z64Nqe9HVJ\nDkxyNN2IyttbW38iycmtzrP7yozVdSZwq9MFSCNjfy1JkiRJmvdmPGd1klcBD1fVp5K8fLw8VVVJ\nBhacSnIecB7AUUcdNahq94nzbc29qX7G2zedNid1z6beBehlwC8Cn0/y2Zb2W8Am4Ook5wD3Aa8B\nqKo7klwN3AnsBi6oqj2t3Pk8PYftje0BXTD8fUm2AY/STSsgacgWa3+twZjN3z2LrF+VJEmSNACz\nWWDxZcCrk/wM8Gzg4CTvp00jUFUPDGAagb1U1aXApQCrV692hKY0Q1X1SSAT7F4zQZmNwMZx0rcC\nx4+T/iRw1iwOU9Jg2F9LkiRJkhaEGU8DUlUXVtWKqlpJN2Ly1qp6HYOdRkCSJM2C/bUkSZIkaaGY\nzcjqiQxyGgFJkjQ37K8lSZIkSfPKQILVVfVx4ONt+xEGNI2AJEkaHPtrSZIkSdJ8NuNpQCRJkiRJ\nkiRJGhSD1ZIkSZIkSZKkkTNYLUmSJEmSJEkaOYPVkiRJkiRJkqSRM1gtSZIkSZIkSRo5g9WSJEmS\nJEmSpJEzWC1JkiRJkiRJGjmD1ZIkSZIkSZKkkTNYLUmSJEmSJEkaOYPVkiRJkiRJkqSRM1gtSZIk\nSZIkSRo5g9WSJEmSJEmSpJEzWC1JkiRJkiRJGrkloz4ASZIkSZKk/cHKDddPuG/7ptOGeCSStDA5\nslqSJEmSJEmSNHIGqyVJkiRJkiTp/2/v/oNtK+v7jr8/AlIr0QgiIfzoJRW1aOoPCMOobbFKINIU\n01GDkwHakpAoGh1N6zXORBuHGTATnarFDBUGmEGRKkRGfiiKFtMEEB0svyRc5TpyB0VRAZuqvfjt\nH+s53s3hnHt+7b3X2vu8XzN7ztrPOmvt7157Pfu79rOe9Sz1zmFAtFu7u4Rp3qz0Xr1kS5Jmx2bK\nX5IkSZI0L+xZLUmSJEmSJEnqnY3VkiRJkiRJkqTe2VgtSZIkDVSSC5I8kOT2kbJ9k1yX5J7292kj\n896RZFuSu5McP1J+ZJLb2rwPJEkr3zvJx1v5TUm2TPP9SZIkSaNsrJYkSZKG60LghEVlW4HPV9Xh\nwOfbc5IcAZwMPLctc26SPdoyHwb+ADi8PRbWeTrww6p6JvB+4JyJvRNJkiRpBTZWS5IkSQNVVTcA\nP1hUfBJwUZu+CHjVSPmlVfXTqroX2AYcneRA4ClVdWNVFXDxomUW1vUJ4OULva4lTV+S7e0qiFuT\n3NLKxnY1hSRJQ2djtSRJkjRbDqiq+9v0d4AD2vRBwLdH/u++VnZQm15c/phlqmon8BCw32TClrRK\nL6uqF1TVUe35OK+mkCRp0GysliRJkmZU6yld03itJGckuSXJLd/73vem8ZKSOuO8mkKSpEGzsVqS\nJEmaLd9tjVG0vw+08h3AISP/d3Ar29GmF5c/ZpkkewJPBR5c6kWr6ryqOqqqjtp///3H9FYkLVLA\n55J8JckZrWycV1NIkjRoe/YdgCRJkqQ1uRI4DTi7/f3USPlHk7wP+FW6S/9vrqpHkzyc5BjgJuBU\n4IOL1vV3wKuB61tPTEn9eGlV7UjyDOC6JF8fnVlVlWRsdbQ1iJ8BcOihh45rtYOwZetVy87bfvaJ\nU4xEm0GSQ+iuYjiA7qTTeVX1X5PsC3w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SPAO4LsnX2xnhafgqcGhV/biNrffXwOFTeu2V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\nOxurJUmSJEmSJEm9+//IGueKFPqbdAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1197059b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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NiKpam+TP6Hox/xPw+ar6fJJZrScEwGPArLY+G7itZxdDk6T+mFFOnppkaPLU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\ntflVI4pEkjSfPaslSZIkSZIkSZ2zWC1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kSZIkSZKkzlmsliRJkiRJkiR1zjGrx8TRxq6S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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1188eb1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 4\n",
      "Forward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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9tiRJkjQaSX4jye1Jvpjkg0meneTQJDclubs9H9KT/4Ik25LcleSUnvTjk3yh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\nYcvWq5adt/3sE6cYiTaDJIfQXcVwAN1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dD9+XjhS/tKp2JHkGcF2Sr7czwtPwVeDQqvpx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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117f47eb8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Backward Activations\n"
     ]
    },
    {
     "data": {
      "image/png": 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6Xsz/BHy+qj6fZFbrCQHwGDCrrc8GbuvZxdAkqT9mlJOnJhmaPPW743BKUt/4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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118ef3a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.6011000000000001, 4.75395, 15.961833333333333, 16.05816666666667, 16.058583333333335]\n",
      "[0.09206666666666667, 0.0, 0.0, 0.0, 0.0]\n"
     ]
    }
   ],
   "source": [
    "node_num = 100 #각 은닉층의 노드 수\n",
    "num_layers = 6 # 3개의 은닉층 + 3개의 활성화층\n",
    "num_epochs = 5\n",
    "\n",
    "layers = OrderedDict()\n",
    "\n",
    "for i in range(num_layers):\n",
    "    if i % 2 == 0:\n",
    "        w = np.random.randn(node_num, node_num) * np.sqrt(2) / np.sqrt(node_num)\n",
    "        b = np.random.randn(node_num) * np.sqrt(2)  / np.sqrt(node_num)\n",
    "        layers[i] = Affine(w, b)\n",
    "    else:    \n",
    "        layers[i] = Sigmoid()\n",
    "\n",
    "avg_forward_std, avg_backward_std = activation_value_histogram(layers, num_epochs)\n",
    "avg_forward_std_dic['He'] = avg_forward_std\n",
    "avg_backward_std_dic['He'] = avg_backward_std\n",
    "print(avg_forward_std)\n",
    "print(avg_backward_std)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Standard Deviation of Forward Activation Values per Epoch (0, 1, 2, 3, 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Zero</th>\n",
       "      <th>N(0.0, 1.0)</th>\n",
       "      <th>N(0.0, 0.0001)</th>\n",
       "      <th>Xavier</th>\n",
       "      <th>He</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0</td>\n",
       "      <td>4.139067</td>\n",
       "      <td>0.040650</td>\n",
       "      <td>0.426167</td>\n",
       "      <td>0.601100</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.0</td>\n",
       "      <td>15.408683</td>\n",
       "      <td>0.320617</td>\n",
       "      <td>2.669683</td>\n",
       "      <td>4.753950</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0</td>\n",
       "      <td>48.391933</td>\n",
       "      <td>1.411183</td>\n",
       "      <td>10.683700</td>\n",
       "      <td>15.961833</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.0</td>\n",
       "      <td>48.426567</td>\n",
       "      <td>1.412550</td>\n",
       "      <td>10.699767</td>\n",
       "      <td>16.058167</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0</td>\n",
       "      <td>48.898817</td>\n",
       "      <td>1.412550</td>\n",
       "      <td>10.700317</td>\n",
       "      <td>16.058583</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Zero  N(0.0, 1.0)  N(0.0, 0.0001)     Xavier         He\n",
       "0   0.0     4.139067        0.040650   0.426167   0.601100\n",
       "1   0.0    15.408683        0.320617   2.669683   4.753950\n",
       "2   0.0    48.391933        1.411183  10.683700  15.961833\n",
       "3   0.0    48.426567        1.412550  10.699767  16.058167\n",
       "4   0.0    48.898817        1.412550  10.700317  16.058583"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "df = pd.DataFrame(avg_forward_std_dic)\n",
    "df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Standard Deviation of Backward Activation Values per Epoch (0, 1, 2, 3, 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Zero</th>\n",
       "      <th>N(0.0, 1.0)</th>\n",
       "      <th>N(0.0, 0.0001)</th>\n",
       "      <th>Xavier</th>\n",
       "      <th>He</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.504167</td>\n",
       "      <td>0.005217</td>\n",
       "      <td>0.052017</td>\n",
       "      <td>0.092067</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.009350</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000050</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   Zero  N(0.0, 1.0)  N(0.0, 0.0001)    Xavier        He\n",
       "0   0.0     0.504167        0.005217  0.052017  0.092067\n",
       "1   0.0     0.009350        0.000000  0.000000  0.000000\n",
       "2   0.0     0.000050        0.000000  0.000000  0.000000\n",
       "3   0.0     0.000000        0.000000  0.000000  0.000000\n",
       "4   0.0     0.000000        0.000000  0.000000  0.000000"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame(avg_backward_std_dic)\n",
    "df"
   ]
  }
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