{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 406 GAN\n",
    "\n",
    "View more, visit my tutorial page: https://morvanzhou.github.io/tutorials/\n",
    "My Youtube Channel: https://www.youtube.com/user/MorvanZhou\n",
    "\n",
    "Dependencies:\n",
    "* torch: 0.1.11\n",
    "* numpy\n",
    "* matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "from torch.autograd import Variable\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "torch.manual_seed(1)    # reproducible\n",
    "np.random.seed(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Hyper Parameters\n",
    "BATCH_SIZE = 64\n",
    "LR_G = 0.0001           # learning rate for generator\n",
    "LR_D = 0.0001           # learning rate for discriminator\n",
    "N_IDEAS = 5             # think of this as number of ideas for generating an art work (Generator)\n",
    "ART_COMPONENTS = 15     # it could be total point G can draw in the canvas\n",
    "PAINT_POINTS = np.vstack([np.linspace(-1, 1, ART_COMPONENTS) for _ in range(BATCH_SIZE)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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AkrsxxsQgS+7GGBODLLkbY0wMsuRujDExyJK7McbEIEvu\nxhgTgyy5G2NMDPp/MA9tfAK2AEYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f383fd3e278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# show our beautiful painting range\n",
    "plt.plot(PAINT_POINTS[0], 2 * np.power(PAINT_POINTS[0], 2) + 1, c='#74BCFF', lw=3, label='upper bound')\n",
    "plt.plot(PAINT_POINTS[0], 1 * np.power(PAINT_POINTS[0], 2) + 0, c='#FF9359', lw=3, label='lower bound')\n",
    "plt.legend(loc='upper right')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def artist_works():     # painting from the famous artist (real target)\n",
    "    a = np.random.uniform(1, 2, size=BATCH_SIZE)[:, np.newaxis]\n",
    "    paintings = a * np.power(PAINT_POINTS, 2) + (a-1)\n",
    "    paintings = torch.from_numpy(paintings).float()\n",
    "    return Variable(paintings)\n",
    "\n",
    "G = nn.Sequential(                      # Generator\n",
    "    nn.Linear(N_IDEAS, 128),            # random ideas (could from normal distribution)\n",
    "    nn.ReLU(),\n",
    "    nn.Linear(128, ART_COMPONENTS),     # making a painting from these random ideas\n",
    ")\n",
    "\n",
    "D = nn.Sequential(                      # Discriminator\n",
    "    nn.Linear(ART_COMPONENTS, 128),     # receive art work either from the famous artist or a newbie like G\n",
    "    nn.ReLU(),\n",
    "    nn.Linear(128, 1),\n",
    "    nn.Sigmoid(),                       # tell the probability that the art work is made by artist\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "opt_D = torch.optim.Adam(D.parameters(), lr=LR_D)\n",
    "opt_G = torch.optim.Adam(G.parameters(), lr=LR_G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ampp6lZmfnx8eHh7odDoMBoO632QykZubS3R0NDExMQAEBQVRU1NDdna2S2Vm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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3825b915c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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wWVlZTJgwwaP+mjVrEELw66+/AnDw4EGEECxcuJCbb76ZiIgIxo5V8s29++67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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3825b08b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MfHx8cHNzQ6fTYTAY1P0mk4m8vDwiIyOJiooCICAggNraWnJyclwqM5PJRG5u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\nRFS1VvB9zWKWVn/O+vrVXmXPnFiwMjz+aI5PnMyxSScHf588KVUd1mV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HnG4zz9mHkdus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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f38432e2a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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+uLm5odPpMBgM6n6TyURubi6RkZFERUUBEBAQQE1NDdnZ2S6VmclkIicnh/Dw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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f38380db128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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gq6knHf1ri7jVMC5z46ubFSV2oFAJddW34aU15zR+fn6Eh4eTk5NTZ50uXbrw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\nEEIeETNBEAQh5Pl/WXhCtKyEW6cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f383fc88da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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XS+inQBSQ7HXOGGCzlHIfgBDiUeBtlGVWQ52fnxFCTPQ6Lx6YDbwAXA8cFEK0\nBFYAx1H8KeYBCwGPH74Q4ibgf8BG4AZgJnCvsy13NgBG4KoarlWlWSX8vjnibtYVrSTXls1JeyEf\nHJ/LxJipjWrDZW6cm6YosQOFSqirvvUvrTmv8fPzIyIigpycnFrrdO7cmZdfrgru3KdPH0wmE3fd\ndRf/+c9/8PHx4ZtvvmHNmjV8+eWX3HBDVdixO+64A1CcH55//nkmTZrEq69WOceOHDmSU6FXr168\n+eabHvumTasKDepwOBg4cCAbN27k448/Vo9NmTKFyy67jNWrV6sP8Ouuu0497+9//zsWiwWLxYKv\nr+KXnZ+fT0BAAAEBAYAyctm9e3e9Mnbu3BlfX1/VhKvXe64vcpXrGpkZjUZiY2NVV/uCggIOHz6M\nw+EgKiqqXhnqo7S0lJCQEI99drsdvV5fbbSn1+txOBw4HI5azYYBAQGYTCb8/f2xWq3k5OSwZ88e\nOnbs6LH+zR0/Pz/1XptMJvW+HD9+HIvFot5H1/Ht27eTm5urKkBQ7lO7du0ade3e3otBAT4UAVar\nVe3PHX9/f3Q6HQaDAbPZrO632Wzk5OQQHhWGNbwcA3oMZj0+dj+ysrIJD4+o1pbrvOzsbKKiojzW\nyYWHh6tLFqZNm0ZKSgoffPABH3744Ukp5Wzn9/KCEOJZKaX7pMhrUsr/A2V+DchBUUjvSCnThRDb\nUJTXWmcdX2A48IyzHARMB56VUs50trlGCBEAPCWEeFtK6ZqPCAcGSCm3ujoXQvwbKAOGSSnLnftO\noihSVx0B/Bv4UEr5D7f9FuBNIcQLUsp8AClloRDiCNAD+LLGm0gzGpmBMsF6X3TVSHhV4f/YVb69\njjNqpnWQp3fjigvE3FifM5CUktdff52LL74Yf39/jEYjY8eOxWKxqGt6vv/+e8LCwjwUmTsbNmyg\nvLy8Tk+zxjBkyJBq+9LT0xkxYgRRUVHo9XqMRiO7d+9mz549gPLg/u233xg3blytZrn+/ftjMBjU\nEaXdbufEiRMec0oBAQFcdNFF9W51OUo0lODgYGJjYwkODiY4OJiEhARCQ0PJyspqkqC1VqvVYzHy\n6RIVFUVkZCSBgYGEhYXRoUMHjEZjg+cG3SkrK8NkMnkoFh8fH8xmc7XRc11ONDXhMi+6ey/6neJt\nKC8vx+FwYA2sGtEF6UOICIugoqKiVi/Q0tJSHA6HOuL3xm63s2XLFo+lFU4+RXmG9/ba/43rg1Mh\nHAdaeZ0l1zj1AAAgAElEQVQ3ys1EeT0QCLhCxPQGTMASIYTBtQHfo4zq3NvKcFdkTq4A1rgUmZOv\nvOp0ANoAi2voww/o5FU/D4j2vgHuNCtlBtDLnEwPszIalUjeynoBu2y8U8PAhKqs1BeCubGiooL8\n/Pw63/Jff/11Jk+ezIgRI/jyyy/ZuHGjOipymZ3y8/M93pS9yc9X3JTrqtMYvOUtLi7m2muv5ejR\no7z66qv8+OOPbNq0icsuu0yV8cSJE0gp65RBCIHJZCI/Px8pJQUFBUgpCQurMtvrdDp1pFbX5hq9\nuEYa3k42rnJjlUloaCg2m63W+IiNQUpZbZSl1+ux2+3VlKXdbken0zXKyUSv1xMcHOyxILqhVFZW\n1nhvDAZDtdFsY++hu3lRJyDUD/V+NvYlxKWspN45Ahd6IoyRaju1OVe5rqG2/vLy8rBarTX9N11m\nFO+5pEKvciWKgnDxKRABXOMsjwE2SCldq8xdb2w7AKvb5ooq7W6nqsmUEw142MCllBWA+5uHq48V\nXn0crKEPAIvXNVSjWZkZQXkI3Rf1GFtLN1IpLey37GLFiSUMC7u5Ue24zI3/uUDMjWvXrsVms9G7\nt/dLXhVLlixh9OjRPPfcc+q+nTs9402Hh4fX+fbtevvMysryGOW44+fnV+0BXduaHu+R1YYNGzh2\n7Bhr1qzxWFflPpEeGhqKTqerd5RgNpuxWCwUFxeTn59PSEiIx8OysWZGX19fhBBUVFR4OFq4lGxN\nJq2/CoPBUO1h65ors1gsHvNmFRUVp+RleKrOKT4+PjV6qtpstmrKqzF92KWSdNOFy3vx5MmTGI3G\nRn8fUq9oRYdNotcLWhii0QuDquS8zcsuXNdgtVprVGgREREYjcaaPEhd2q3+hYruckq5XwiRBowR\nQvwEDAOedKviam8oNSsr9x99Ta/42UAL9x1CCD/A7LbL1ce9wO81tHHQqxxCPdfZ7EZmANE+LRkT\n8Xe1/GHuWxTYGp+Bs1UQXH0BmBsLCwt5/PHHSUxMrHORanl5ebU/uHtqEVDMcwUFBSxbVrM3ae/e\nvfH3968zOkOrVq3YtWuXx75vvvmmltrVZQRPxfDLL79w6NAhtWwymejZsycffvhhnSY6g8FAUFAQ\nmZmZlJSUVFO+jTUzurwFvRdJFxQUYDabGz2qOHHiBAaDoUHR5uvD19e3mgOK2WxGr9d7yGu32yks\nLGy8Oc/hoLCwUJ1vbAwmk4nS0lIP+SorKykpKfGYs2osFW6DOtfi6JMnT3LixAlatGhR+4koStPd\n9d8hHRQbCkEH1pN2AnRmzPogQPme/Pz8ah15mUwmdDqdarXwRq/X061bN49gz05uAhwoDhKNJRXF\nQWQEimOGe+MbgHIgVkqZVsNWtycPbAIGCiHcHT685x12AxlAfC19qDfD6XnZBthTV6fNbmTmYlTY\nHXxftJyMysOUOUp4P+c1Hm35XP0nejEgAXbkQnapYm5cnA73n8eLqW02m+qxWFxczObNm3n77bcp\nKytj1apVtb49AgwcOJA5c+bQs2dP2rVrx8KFC6t5zQ0cOJBBgwZx6623Mm3aNC6//HKysrJYv349\n8+bNIyQkhKeffpqpU6dSWVnJ4MGDsVgsLF++nOnTp9OyZUtGjBjB+++/z0MPPcSQIUNYu3atutC7\nPnr16oXZbOaee+7hscce49ixY8yYMUOdSHfx4osvMmDAAK6//nruvfdeTCYTGzZsoHv37gwdOlSt\nFxERwYEDB/Dx8SEoKMijDb1eX6szQ23ExMSwe/dujhw5QmhoKEVFRRQVFdG+fXu1jsViYfv27cTH\nx6sKdN++fZhMJgICApBS0qlTJ6ZMmcLo0aM9RiOuh75rNFBcXKw6MtQlq9lsruZur9PpiI6OJisr\nS1287HIQci02BsUM9ssvvzB8+HC133379hEeHo6vr6/qGGG1Wk/JvBweHk52djZ79+4lNjYWIQSZ\nmZkYDIYalU5KSgq33XYbd999d61tOiTYrFas5SUIAUJv5fDxIvLz8wkKCiI6us7pGfz9/dXvzmAw\nUKYvwaqrxDfciCXXijToOGk6SWFhIUVFRR4L0b0xGAzExMSQkZGBlJLg4GCklOTn55ORkUHLli2Z\nOXMmgwYNcs01BwkhJqM4bPzXy/mjoSxGccD4N7DemeoLUB0uZgBvCCHigPUoA58OwNVSyhH1tP06\nMAH4WgjxGorZ8QkUpxCHsw+HEOIR4COnw8lKFHNoW+BGYLSU0jV0SEIZ1f1cV6fNVpkZdT48EP0E\nTx1R8pytO7mSa0Nu5DLTFY1qx9vceLAQfj4KVzXc6/ecoqioiN69eyOEICgoiMTERG677Tb++c9/\n1vsHnjZtGrm5uWqyxJEjRzJnzhx1fRcob6yff/45Tz/9NK+//jq5ubnExsZy6623qnWmTJlCWFgY\nb7zxBvPmzSM0NJR+/fqpprchQ4bw/PPP89Zbb/Hee+8xfPhw3njjDYYPH17v9UVFRbFkyRImT57M\n8OHDad++Pe+88w6zZ8/2qNevXz/WrFnD008/zW233YaPjw9du3ZVw0K5CAkJQQhBeHh4kyx4DQwM\npF27dmRmZpKbm4uvry9t27atd6Tj5+dHfn6+6vDhmvPznkc5fvy4xxu+K1J+eHh4ndEqQkNDyc7O\n9vDeBNTfRFZWFjabDZPJpDpz1IbL0y8rKwur1YpOp8NkMpGUlNRo5e9qr0OHDhw9elQdYbvu46k4\nrVTYFNtYRXEBFcUFCCE4aTDg7+9PfHw8YWFh9X7XMTExWCwWDhw4gN1uJ6ClL8YQPX6RRgJ0Jgry\nCsjJylHXWbrPtdbWnsFgICcnh9zcXAwGAw6HQ/1PXHvttaSmprqWVCQCk4BXULwOG42U8qgQ4heU\ncIUzazg+WwiRCTwEPIKyhmwPbh6JdbSdIYQYAryB4nqfDtwFrAHcg9J/6vRyfNJ53A4cAJahKDYX\n1zn312SOVGkW4azq4qWMKaw/uRqAVj7xzG37KcZqa/LqZ9V++O6Q8tmog4d6QovGW0w0ziPS09OJ\njY1l7969dOrU6YyEVTpV4uPjee+99xoVu7A+duzYQXh4eL0vNTXNVR06dIiEhIQm94o8FeoamTmk\nErLO5fThb4Bw/1PPHi2lJKPyMOXOSB++Oj9a+yQ0yYtPcwpnJYToC/wIXCOlrDk9ee3nbgCWSymf\nrates5wzc+fuyIfx1ylvg8cqD/F5/sen1M6ABIh2muetDliys3l7N17oZGZmUlFRwbFjxwgODj6n\nFJk3FouFSZMmERsbS2xsLJMmTVLnl5KTk/nss88A+PnnnxFCsHz5cgC+++47unTporbz/fffc+WV\nVxIaGsqgQYM4fPiwekwIwZtvvkn79u09TKLe/N///R+xsbHExMR4rEmsS8YFCxbQt29fj3aEEKoJ\n+84772TChAkMGTKEwMBAevbsyf79+9W6Lmef4OBgJk6cWOc8aJGX92KI36krMoCT9kJVkQHNPmRV\nQxFCvCSEuNkZCeQ+lDm6bUDD0iBUtdMT6EjNi8M9aLZmRhfhxhbc3uIB3s1R/lipef8lJXgQkcbY\nRrVj0MGYi9zMjUXnt7lRo27effddevXqRVxcnBJJYu6t9Z/UVExc1Kjqzz33HL/++itbt25FCMHw\n4cN59tlneeaZZ0hOTmbdunWMGjWKH374gbZt27J+/XqGDBnCDz/8QHKyEgjiyy+/5I033mDBggV0\n69aN1157jVtuucUjA/QXX3zBb7/9Vi2CiTtr165l7969HDhwgGuuuYYuXbowYMCAOmVsCKmpqaxc\nuZLLL7+ccePGMXXqVFJTU8nLy2PkyJHMnz+f4cOHM3fuXN555x1uv/32am1UeC2OPt3YizZpI89W\n5WEYagjHT1f7vbnA8EWZj4sCilHWvj0sZSOD5irLDsZJKb2XG1Sj2Y/MAIaG3kSCrxJF3yIrmJf9\ncj1n1EyrILgmvqq8cj/kNkPvRg0lw0BcXBwXXXTRWXWZbwgLFy5k2rRpREZG0qJFC6ZPn85HH30E\nKCMzV06w9evXM2XKFLXsrszeeecdpkyZQr9+/TCZTDz55JNs3brVY3TmmuusS5lNnz4dk8lE586d\nGT9+PJ988km9MjaEESNG0KNHDwwGA2PHjmXrVmWd7ooVK7jkkksYPXo0RqORSZMm1WgmdUg44RaB\ny7+W1C6NIc+ajcO5htUojIQZ6vaAvJCQUk6SUraWUvpIKcOllLe4O5k0op2VUkrvBdc1ckEoM70w\nMCG6KtDtryXr2Fi8/pTa6h8PMW7mxsWauVHjLJOZmUlcXNUakri4ONXxo3fv3uzZs4ecnBy2bt3K\nHXfcwdGjR8nLy2Pjxo3069cPUNK/PPjgg4SEhBASEkJYWJgyH5SRobbrHmqpNtzruMtRl4wNwV1B\nBQQEqJE/XOlpXAghapSzqc2LpfYSiu2qLwMtjDHoxAXxOD1nafZmRhcXBVzGoJARrC78HIB3cmZz\nqemKRpsFXN6NczYpSuxQEfx0FPpp5sbmTSNNf38lsbGxHD58mEsuuQSAI0eOEBurmNEDAgLo1q0b\nb7zxBp06dcLHx4crr7ySV199lXbt2qmu/61bt2bq1KmMHTu21n4aMhd09OhRdbG6uxx1yWgymTwi\ngzQmUWxMTIxHFgMpZbWsBk1tXnRIO8etVYOMQH0wJv2pr3fTaBouqFeJcS0mEqhXXKBzrJksyZt/\nSu20DFRGaC40c6PG2eSWW27h2WefJTc3l7y8PGbNmsVtt92mHk9OTmbu3LmqSTElJcWjDHD//ffz\nwgsvqGlTioqKalqkWy/PPPMMZWVl7Nixg/nz5zNmzJh6ZbzsssvYsWMHW7dupaKighkzZjS4vyFD\nhrBjxw7+97//YbPZmDNnjocyPBPmxXxbLjbpjOoh9EQYTz/Qs8bpc0Eps2BDKONb/EstLy34gGOW\nQ6fU1jXxVeZGmwM+1cyNGmeJp556iu7du3PppZfSuXNnLr/8cnUtICjKrLi4WDUpepdBmZN6/PHH\nufnmmwkKCqJTp06sXLmy0bIkJyeTmJhI//79mTx5Mtdee229Mnbo0IFp06YxYMAA2rdvX82zsS4i\nIiJYsmQJTzzxBOHh4ezdu5c+ffqox4sqqsdePB3zYoWjnEJbVUSUCEMUBnHBGLjOaZr9OjNvHNLB\no4fHq9H0u5h68mzrt07JnTajuMrcCDC0PSRr5sZmQ23rfDTODypsnhaTMD8wnUbkLyklRysPYnEo\nQ70AnYlYnzZnzBW/Oa0z+yu4oEZmADqh4x/RT6JzXvrW0t/4sbhhcf+88TY3rtoPx0ubQEgNDY3T\n4kyYFwvt+aoiEwhaaGvKzikuyPFxO78khoWO4csTitvwf3NeobupDwGnMInbP16J3ZhZopgzFqfD\nP7qdm7EbZ8yYwcyZSuQaIQTBwcEkJiZy7bXXNiic1YVORUUFOTk5lJSUUF5eTmBgIElJSfWeV15e\nztGjRykvL8dms2E0GgkKCiI2NtYjSHBtlgohBN26dauzDyklO3fuJCoqqtZsBKAE/M3IyKC0tJTS\n0lKklHTvXv9LvsPh4ODBg5SVlVFZWYlerycgIICWLVtWC1FVUFBAdnY2FRUV6PV6goKCaNmyZb0B\nkQsLCzl27BgWiwWj0cill15ar1y1UZd50RX3MC8vT81BZjQaCQwMpEWLFjUGL650VJJvzcVe7sBa\nbKdlbEt8dKcf4FmjZpzZqncDl0opD9RXHy7AkZmL21o8QJhB+dMX2PL4OO+dU2pH7/RudCmvw0Xw\n45G6zzmbBAcHs2HDBn755RdSU1MZOXIkH330EZ07d2bz5s1nW7xzmoqKCoqKivDz82tURBC73Y6v\nry+tWrWiQ4cOxMbGcvLkSfbt2+cRraJjx47VNoPB0KAI9SdOnMBut9cbA9DhcJCXl4dOpzuliPPR\n0dG0b9+euLg4HA4He/bs8YhmX1hYyIEDBzCbzSQmJtKqVSuKi4urXas3UkoOHjyIv78/HTp0IDEx\nsdGyuaiwQYlbHswQP+V/6urnwIEDHD58mICAABISEujQoYMaa3HXrl3V5JRSkmvNQiKxlTuw5FoJ\nNdR9nzVODyllBkocyGn11XVxQY7MAAL0Zu6OfITZmcr6s68LUukfPIx2fvW/aXsTGwgD4uEbZwae\nVQfgogiIbHxM1TOOwWCgV69eannQoEE88MAD9OvXj5tvvpldu3bVGTn/bFBeXl7nQt2/iuDgYHW0\nsH///mqJIWvDbDZ7KI7AwEB8fHzYs2ePmkXZVc+d0tJSbDZbvQoKlADD4eHh9SbMNBgMdOnSBSEE\nx48fp7i4vmweCjqdjnbt2nnsCwoKYuvWrZw4cUId1efn5xMQEKBETXGi1+vZt28fFRUVtX6PVqsV\nu91OeHi4R663xuKQUFDuAClACMW86PaUO378OCdOnKBDhw4eWRBco7Lc3NxqbRbbiyhzKPMHLoOL\n0NaUeSCE8PfKLN0UzAe+E0I84p4SpjYu6G+kX9C1XBbQAwAHDt7KfgFHo6OtKFwTr8yhQZW58Xzx\nbgwJCWH27Nns27ePNWvW1FqvsLCQu+++m9jYWPz8/GjTpg333HOPR51t27YxbNgwQkJCMJvN9OjR\nw6PNgwcPcuONNxIUFERgYCDDhg2rlkZGCMGrr77KpEmTaNGiBZ07d1aPffnll3Tv3h0/Pz+io6N5\n7LHHak1H3xS4v6U35fyI64WhrtFKQUEBOp2u3pFZRUUFJSUlhIaGNqjvproOV7Zp92uQUlZ7Garv\n5SgvL49t27YBSuqYtLQ0dUG13W7nyJEj/PHHH2zevJmdO3dWS1Wze/du9u/fT25uLtu3bydz9xYc\nNmuN3os5OTmEhoZWS+fjokWLFh73RwlZpaS9qSy0UZ6lLFhLS0sjLS3NIznryZMnSU9PZ/PmzWr0\nlNqyS7tTVlbG3r17+f3339myZQvp6eke1+j9nwEShRAeQ1chhBRCPCiEeF4IkSuEOC6EeFMI4es8\nnuCsM8TrPL0QIlsI8azbvk5CiOVCiGLntkQIEe12PMXZ1iAhxFdCiBKcsROFEKFCiFQhRKkQIlMI\n8bgQ4mUhxCGvfts46xUIIcqEEKuFEN4jiZ9REnI2KLPyBa3MhBD8I/oJDM4B6q7ybeqi6sai18FN\nF4Hezdy4/hw2N3qTkpKCwWBQc53VxMMPP8xPP/3Ea6+9xurVq3n++ec9/vi7du2iT58+ZGVl8c47\n7/D5558zYsQIdRGrxWKhf//+pKen89///pcFCxZw8OBBkpOTqyWs/Pe//01WVhYfffQRc+bMAWDx\n4sWMHDmSHj168NVXXzF9+nTeffddpkypiu4ipcRms9W7NQRX2pWm8viVUuJwOKioqCAjIwOTyVRr\nShQpJQUFBYSEhNSrDIqLi9HpdH/J6NWVfsZqtXLsmJJGy33kGBERQUlJCXl5edjtdvVaAwMDa5Uv\nODhYHfW1atWKjh07qvN+hw8fJi8vj+joaBITE/Hx8WHfvn3VRpQlJSXkHM8lILwlIS3bI/R6Qt3M\ni6Ak9KysrKxVkdVEnjUHuzNklV+gL5FRSh43lxnYNQItLy9n7969GAwG2rVrR2xsLAUFBR4BkWui\nvLycXbt2YbVaiYuLIzExkeDgYPLz8/Hz86vxP4MS9/AHIYT3kP0RIBa4DSUu4n3AgwBSyoPARpSE\nnu4ko8RPTAVwKsmfAT9nO3cCl6DkJvN+C3of+AMl8eb7zn0LgIHOfu8FrgXGuJ/klPsnlDxl9ztl\nMgHfuif0lMof71egQakhLlgzo4tWvvGMCh/Hp/nKd/H+8dfoYupJjE+rRrcVGwj9E+Ab53Tl6gNw\n8TlqbvTGz8+PiIgINfliTWzcuJEJEyaoC2EBj8W5M2fOJDg4mB9//FF9cA0cOFA9Pn/+fI4cOcKe\nPXvUZIU9e/akbdu2zJs3z0MpxcTE8OmnVamTpJQ8+uij3HHHHbz11lvqfl9fXyZMmMCUKVMIDw/n\nhx9+4Oqrr673eg8ePEh8fHyddVq1asWxY8dqND3l5uZit9s9sg3XR05ODhUVijecj48PkZGR1TJq\nu3A5m9hsNtLT0+tsNz8/n8rKylrbqo3i4mIKCgrqbd+doqIiCguVmK86nY7IyEgOHPCcn5dSsnnz\nZvUlwNfXl8jIyDr7sdls6lye67djtVrJzMwkPDxcfdmRUlJYWMjmzZvVXG7Z2dlUVlYSGNESjiu/\nX6MOSr38MywWi9pHXl5V5nnvlxXXM7vSYaHQXvWSFawPpbK0iIKCgmpRRnJzc6msrMTf35+sLCU6\niN1u58CBA5SVldUa3zM3NxeLxULLli09/nt+fn60atWK999/v9p/BiWv2EUoyuoFt+YOSSnvdH5e\nLYToA4wEXMn8UoHpQghfKaVronMMsENK+aezPB3IBq6XUlY678c2YBcwGFju1t8SKeXTbvetE4pi\nu0lKucS57zvgKFDidt5DKMqri5SywFnvZ+AQSl6zN93q/gF4mn9qw/Wm9Vdv3bp1k+cK5fYyee++\nEXLwzq5y8M6ucvLB8dLmsJ1SWza7lK/9JuXkb5VtzkYp7Y4mFvgUmT59ugwPD6/1eFRUlLz//vtr\nPT527FjZunVr+eabb8rdu3dXOx4ZGSkffvjhWs8fP368vOKKK6rtT0lJkYMHD1bLgJw6dapHnV27\ndklArlixQlqtVnU7ePCgBOS6deuklFKePHlSbtq0qd7NYrHUKqfNZvPow+Go/gWOGjVKJicn19pG\nTezZs0f++uuv8qOPPpJJSUny8ssvl+Xl5TXWvf/++2VoaGidcroYNmyYvO666zz22e12j2uw2+3V\nzvvPf/4jlUdAw8nKypKbNm2SX331lbzuuutkeHi43LFjh3r8+++/l2azWT722GNy7dq1MjU1VXbs\n2FGmpKRIm632/5Tre/z666/VfR988IEEZGlpqUfdGTNmyICAALWcnJwsO17eR/3PTVsnZVFF9T5+\n/fVXCcjVq1d77J8wYYJEydepylBuL5N37R2mPhNePPZ4nfcsISFBPvroox77bDabNBgMcvbs2bVe\n96n8Z4A0YC1Kji+XMpbAU9LtGQs8DxxzK7dEyfQ83Fk2ALnA0251soAXncfct/3AdGedFGd/A7z6\nu9O5389rfyqKonWVNzj3effxPTDf69yJgBXnmui6tgvazOjCT+fP5Nhn0TsHqjvLt/JZ/gen1JbL\nu9Flbjxy8vwwN1ZUVJCfn18tc7E7c+fO5cYbb2TWrFkkJSXRvn17UlNT1eP5+fnExMTUen5WVlaN\n7UdFRVUzM3rXc71JDx48GKPRqG6u7MmuN2Wz2UyXLl3q3epyE+/fv79HH64o86dL+/bt6dmzJ7fd\ndhurV6/m999/Z9Gi6jEfbTYbn332GaNGjarXnR2U7877zX/WrFke1zBr1qwmuYbo6Gi6d+/OsGHD\n+PrrrwkPD+fFF19Ujz/yyCPccMMNvPTSS6SkpDBmzBi++OIL1q1bx5dfftmovrKysjCbzQQEeGbB\njYqKoqysTPWiLLeBPaDq93JjEgTVMBByxYJ0mUddPPbYY2zatImvvlKCs9uljZcyppBtVeqZdIHc\nEzW5Xlm9f7N6vd5jVFkTp/qfAXJQ0qO4450mpRLFXAioHoI/UWX26w9E4DQxOokAHkdRIO5bW8A7\ngrO3GScaKJZSVnjt9zZtRDhl8O7j6hr6sFCl7Oqk3gpCiNbAhyh2VQm8K6V8w6uOQEmRPRgoA+6U\nUm6pr+1zifb+F3NLxD18nPc2AB/nvkM385W08+vY6LZizEoyz9Vu5sYOYYoZ8lxl7dq12Gw2evfu\nXWudkJAQ5syZw5w5c9i2bRuzZ89m7NixXHrppVx88cWEh4erJpaaiImJUWP/uZOTk1PNY8/bPO86\n/u6779K1a9dqbbiUWlOYGefNm+cxJ9OQtWSNJS4ujrCwsGomOlCSZubm5nLLLbc0qK2wsLBqwXnv\nvfdehg4dqpZdD/KmxGAw0LlzZ49r2LVrVzW5k5KS8Pf3r3f+yJuYmBhKSkooKyvzUGg5OTkEBATg\n6+tLqVUJVGAMVH4vnVpAl1rex1q3bk18fDzffPMNd911l7q/TZs2tGnThkOHDgHwRcEijpdUOSXd\nE/WwuoynLlmPHz/usc9ut5Ofn1+nN+qp/mdQnse1a8na+RR40Tk3NQb4XUq51+14AfA58F4N5+Z5\nlb0nk7OBQCGEn5dC886NUwB8BdSUzM7bvTYEKJFS1uvl1ZCRmQ14REp5MdALmCCEuNirzvVAe+d2\nL/B2A9o957gpYjwd/RXPOTs2Xs54Sl3x31iujvP0blywDUor6z7nbFFYWMjjjz9OYmIiAwY0aK6V\nSy+9lH//+984HA51rqZ///4sXrxYnRfypmfPnmzevJmDBw+q+zIyMvjll1/qjceXlJREy5YtOXTo\nEN27d6+2hYeHA9CtWzc2bdpU71bXwz0pKcmj7dNxFa+N3bt3k5+fryphdz755BNiYmJISUlpUFtJ\nSUke9xQU5eV+DWdCmVVUVLBlyxaPa4iLi2PLFs/32PT0dMrLy+udo/TmiiuuQAjB0qVL1X1SSpYu\nXUrfvn2xO+Dj7VWLowOMMDKp7tiLkyZNYunSpaxbt67aMadZi+1lVest/xY+noEhw9Wya6Ts/Rvv\n2bMnn3/+uYf3oiv4cV2/7VP5zwBG4EqUUVZjWQL4AyOcW6rX8e9QHD42SynTvLZD9bTtWvV/g2uH\nU2kO9Krn6mNHDX3s9qobjzJHWD/12SG9N+BLYKDXvnnALW7l3UBMXe2cS3Nm7mRYDssR6b1VW/m8\n7H+fclvZJVJOXVs1f/Z2mjKndraYPn26DA4Olhs2bJAbNmyQ33zzjXzhhRdkmzZtZEREhExLS6vz\n/D59+siXX35Zrlq1Sq5evVqOHj1amkwmefToUSmlMq8VGBgor7jiCpmamirXrFkjZ8+eLd9//30p\npb9fmM4AACAASURBVJQVFRUyISFBJiUlyU8//VQuXbpUdu7cWcbGxsr8/Hy1H0D+5z//qdZ/amqq\nNBqNcuLEiXL58uVyzZo1ct68efL666+vNq9yJigtLZVLliyRS5Yskb169ZIXX3yxWnbvv127dvKu\nu+5Sy4888oh8/PHH5f/+9z/5/fffyzfffFPGxcXJdu3ayZKSEo8+KioqZHBwsHzwwQcbLNfq1asl\nII8fP96g+itWrJBLliyRf//73yWgXsOhQ4fUOnfddZds166dWl60aJG8/fbb5cKFC+XatWvlokWL\nZN++faWfn5/csmWLWu/111+XQgj58MMPyzVr1siPP/5YdujQQcbHx1e7VndqmjOTUspbb71VBgYG\nyrlz58qVK1fKkSNHSoPBIH/88Uf5+S7lf9Xq0mTZ/qpRcnsDLt9ut8uRI0dKPz8/+eCDD8ply5bJ\nH374QS5ZskT2GH65BGTPBYly8M6ucm7mc9XmS3/44QcJyBdffFFu3LhR7tq1S0op5Z9//imNRqMc\nOnSoXL58uZw3b54MCQmRgwYNqlOeU/nPoFi/MoAw6TlnNlF6PpdnAHmy+jP8WyDTeU6817EOKObK\nFcBolPmxsSheiinSc86sUw1tfwXkA38HhjgV11HggFudCOAIytzZrSgelTehOH7c4tXeb8Ac735q\n2hqryOKdQgR57V8G9HUrfwd0r+H8e1G0d1qbNm3q/+WdJVYULFWV2eCdXeWWkl9Pua0dx6V89Nsq\nhfZZehMK2kimT5+uTnILIWRwcLDs1q2bfPLJJ2VWVla950+ePFl26tRJms1mGRwcLFNSUuT69es9\n6vzxxx/y+uuvl2azWZrNZtmjRw/57bffqsf3798vhw8fLs1mszSZTHLIkCFyz549Hm3UpsykVB7E\nffv2lQEBATIwMFBedtllcurUqdJqtZ7CHWkcrgduTdvBgwfVenFxcXLcuHFq+ZNPPpFXXnmlDA0N\nlf7+/jIpKUk+/PDDMjc3t1ofn3/+uQTkhg0bGiyXxWKRYWFh8sMPP2xQ/bi4uBqvYf78+WqdcePG\nybi4OLW8ZcsWOXjwYBkVFSV9fHxkXFycvOmmm+Sff/7p0bbD4ZBvvfWW7Ny5swwICJCxsbHypptu\nkvv3769TptqUWWlpqZw4caKMjIyUPj4+slu3bnLVqlXyt4yq/1SrS5Nl3+tGNejapVQU2vvvvy/7\n9OkjAwMDpdFolC1ah8vYYaGy96IOcvDOrnL2sSel3VH9zdPhcMhHH31UxsTESCGEhxPQt99+K3v0\n6CF9fX1lixYt5AMPPCCLi4vrlaex/xmnsmkvPZ+tjVFmdzvrb/A+5jze8f/bO+/wtqrzj3+OvEcc\nx0k8YidOnL0nkJAwyoaW0TaF9FfKKGWvskMIlBUgjDIKlEILFGhZAcoMlD0TyN7L2bYT23Ec7ymd\n3x/nypIcOR6SLcl6P8+jJ7rn3nv05lq633ve8573BRZg3IE1QK41YMnSrYtZCsaVWYWZU7sDeA5Y\n2ey4fphF0YWYebEdwCvAaLdj+mI8g8d4s7P5q81Z85VSicDXwDyt9dvN9n0APKC1/s7a/hy4RWvd\nYlr8QGXNbwtaa+7Ku5YllWYU3zsylady3qBHRNvXp7jz+Q6ThNjJr0fA1Ew/GCoIFtdeey25ubl8\n+OGHrR8c4mw/AH9fDnbr1jW2L5w7tuP5UBeWLuDJvfc1bR+eeBS3ZT1MpPIxM3EnEUpZ85VSkcBa\n4Eet9fntPPdS4EZgmG6DULUpmlEpFQW8Bfy7uZBZ5OMZhZJltYUkSimuybiDpIhkAEoai/jb3gda\nOatljsuG8amu7Xc2wbZSX60UBBc33XQTX375JZs3t216IVQ5UAsvrXYJWUaiZ27U9vJ12Sc8tde1\nVGts/BRmZ84PWiELdpRSv7EykRynlDoLMy01FM+1Y23pR2EWXs9ri5BBG8TM6vSfwAat9V9aOOw9\n4DxlmAqUaa1bDtEJAVIi+3BNRtN6QL4u/5ivyj7uUF9KwdmjXAEhDg0vrYFSf2cyE8KWrKwsnn/+\n+UNGxoU69XYTSOVMIpwQBReMg5gOpn74qeJbHim4HW0F5Q2LHc0dWY8SY2t7EmnhIKqACzGa8CrG\nVXi61vqndvaTDvwbeLmtJ7TqZlRKzQC+BdZgFtwBzAEGAGitn7EE70ngFMzk5IWHcjFCcLsZ3Xms\n4C4+LTPrYxJsPXg6540Ol0kvrYUnfnL9GPslwpVTIDq48voKQtChNfxnHay0VjbZFFwyEQa3LR3l\nQaypWsYdu6+i3kqEMSA6h/nZ/yApMtlPFnceoeRm7ErCrtJ0e6m2V3HV9lkUNhiv6fj4w7l3wNPY\nOpg1u7m/f1wqnDvGt1LugtDd+WIHLHSbd/7lcDiy/RnnANhSs55bd11KjZUJPy0qk4eyn6d3VPPl\nUMGJiJl3JANIK8RHJHBDv7tRVvGHVdU/8X5p86UZbWdQsvkhOlldZH6ogiB4Z/0+zwCqqZkdF7Jd\nddu4Y/dVTUKWEtmHeQP+FjJCJrSMiFkbGB0/kZm9L2jafqHoCXbVtan4qVeOaPZj/HibqVYtCIIn\nhVXwn7WuVBODkuHMYR3ra299PnN3XU653WR96hHRk3sH/K1DScWF4EPErI38ru9l5MSYIVWDrufh\n/Lk0tJ5hpUXOGOrp7391HeytbPl4QQg3qhvgxVVQZyXV6BUL542FyA7ctfY3FHPbrsspaTRPjXG2\neO7q/1eyYwa3cqYQKoiYtZEoFcWNmfcSpUw6m611G/lP8TMd7i/CBr8fY36gYH6wL642P2BBCHfs\nDvj3WthnRfxG2UzkYmLreZcPorzxAHN3X9GUODhKRXN71qMMjxvjR4uFQCNi1g6yYwZzQerVTdsL\nSv7FuuoVHe4vIRouHO+KZiypgVfWmh+yIIQzH22FzW5pdGeN6lii7mp7FX/efQ0768ykm40Ibs2c\nz/iEw/xkqRAsiJi1kzN6/Zbx8eaH4MDBIwV3UG2v6nB/GYnmh+pky374ILfl4wWhu7N0j2fZpBMG\nwrgOrIapd9RxT951bK41dScVihv63c0RPY7xj6FCUCFi1k5sysZ1/e4iwWYeEwsb8nmu8BGf+hyb\nCie6JU//bjcsKfCpS0EISXaVwVtuBbNH94UTc1o+viUadQMP5M9mdbVr+c/l6bM5tuepfrBSCEZE\nzDpA36h0rki/tWn7f2X/ZVHFlz71ecIgk2POyVsbYUeZT10KQkhRVgf/Wu0q6ZKWYLwW7U1V5dAO\nHi24kx8rXUVVz+97NT/v9Rs/WisEGyJmHeTYnqdwdNLJTdtP7LmH0saSDvdnUybHXEai2bZr88M+\n0LFyaoIQUjTYzfe93Kr5Fx9p5pNj25mqSmvNM4Xz+ap8YVPbzN4XcHafC/1orRCMiJj5wBXps+kd\naTIIl9sP8MSeu/Elo0pMpInYirdynFbWmx94g/3Q5wlCKKM1LNgIu8vNtk3B78dC77j29/Vy8dN8\nWPpm0/apyb/mgr5XH+IMobsgYuYDPSJ6cl2/u5q2f6r8lk8OvONTnylxZi2N07WSVwFvbjA/eEHo\njnyzC5bvdW2fPhSGpLS/n7dK/sXrJf9s2j4m6RQuT5+NklxxYYGImY9MTDiCM3v9tmn7ucJHKKjf\ndYgzWmdwL88sBysK4audPnUpCEHJxhL40C169/B+ML0DCTk+Ln2b54seb9o+LHEG1/e7iwglWbzD\nBREzP3B+6tX0jzbhiLW6hkcKbseuG33qc1omHNHPtb1wK2zY51OXghBUFFWZhdFOp0N2T5O3tL0D\nqW/KP+HJvfOatsfGT+bWzAelJlmYIWLmB2JssdzY714iMLPVG2vW8GbJiz71qRScNdzkogPzg//P\nWpOrThBCnZpGk/Gm1nrm6xkD53cgVdX66pU8ku+qSTY0dpTUJAtTRMz8xJC4kfyu76VN2/8pfpYt\nNet96jPSZubPkq3fZa3d5KqTlFdCKOPQ5sGsuNpsR1qpqnrEtK+ffQ2FzMu7iUaMIg6IzuGu/n8l\nPiLRzxYLoYCImR+Z2ft8RsaNB8BOIw8XzKXW4Vs56cRo80OPsv5S+2qMa8YhASFCiLJwq5krc3L2\nSMhKal8f9Y465uXdyAG76SgpIpm7BjxBz8gOVusUQh4RMz8SoSK5od89xNniAcir38ELRU/43G9m\nD7MGzcnm/Z6T5oIQKizf6xnM9LNsmJjevj601jy59z42164DnPkWHyQ1ql8rZwrdGREzP5MRncXF\naTc2bX9Q+jrLKn/wud/xaXD8QNf2N7tMDjtBCBV2l5tlJk5G9oZTOlCB5f3S1/m87P2m7YvTbmBc\nghReDndEzDqBk3qeyRGJrmSmj+25k/2NvocinpQDo/q4thdsgNWFPncrCJ1OXjn8c6UrVVVqPPx2\nTPtTVa2uWuqRC/WEnqdzeq9z/GipEKqImHUCSimuybidnhHGf7+/cR+37ryEkgbfyknbFPx2tMlZ\nBybl1StrZYQmBDc7yuDvK6DKClyKi4QLxpt/20NRQwH359+MA5MSZ1jsaK5MnyOLogVAxKzTSI5M\n4fp+d2PDLNrMq9/B7J1/pLhhbytnHprYSLh4gnmyBROy//p6+CHPR4MFoRPI3Q/PrXCF4MdFwh8n\nQN/49vVT66jh3t03Um4/AEByRG9uy3qYaFs7QyCFbouIWScyJXE6szMfaFp/VtCwm1t2XkxRg2/1\nXXrGwuWTXUmJAd7ZJFlChOBiwz745yqot3KLJkTBZZNgQM/29aO15q977mVrnakNE0kkt2U9RJ+o\nDhQ5E7otImadzPSk47k160EiLUErbMjnlp0Xs6fet6FUYrR1Y3ALaf4wFz7ZJnkchcCzqtAsinbO\nkfWMgSsmd6xa9Dv7X/HIgn9Z+s2Mip/gJ0uF7oKIWRcwrcex3Jb1cFN6naKGPczeebHPORzjo+Di\niZCT7Gr7bLupVC2CJgSKpXs810KmxBohS01of18rKhfzglvOxVOSf8WpvWb6yVKhOyFi1kUc3uNo\nbs/6C1EqGoB9jYXM3nkxeXU7fOo3NhIumgDDe7vavtkFb2+ShdVC1/NDnpnDdX71UuONkKV0oJzL\nnvo8HsifjQMzvBsZN57L0m72n7FCt0LErAuZkjidP/d/nBhl8lOVNBYze+cl7Krb5lO/0REmS8gY\nt0rVi/PNTcXu8KlrQWgzX+40c7dO+iWaud2eHUiTWOOo5t6866l0mCJnvSP7MifzQaJs0X6yVuhu\niJh1MRMTjuDO/k80CVqpfR+zd17MjlrfUnpE2uDcMTDJLZvC8r0mdL9RBE3oRLSGT7bCR25f4QFJ\ncOkkM7fb/v40jxbcyY4602GkimJO1sOkRPVt5UwhnGlVzJRSzyulipRSa1vYf6xSqkwptdJ63eF/\nM7sX4xKmcPeAJ5vSXpXZS7l11yVsq93sU78RNpP2amqmq21tsZmIr5dq1UInoDW8vwU+2+FqG5xs\n5nLjO1iB5c2SF/i+4rOm7avS5zAibqxvhgrdnraMzF4ETmnlmG+11hOs192+m9X9GRM/ibv7P0Wc\nzcyKl9sPMGfXpeTWbGjlzENjU/Cr4XD0AFfbphKTfaHWtxJrguCBQ8NbG+Hb3a62Eb3NHG5sOxdE\nO1lS+R0vFT/VtP2LXudwYvKZPloqhAOtipnW+htgfxfYEnaMih/PvAF/I8FmFoxV2MuYs+syNtes\n86lfpeAXQ+DEQa62bQfg2RVSPkbwD3YHvLYefnRbMjm2L5w/DqI6WNw5v24nD+XPaapNNjZ+Mhen\nXe8Ha4VwwF9zZtOUUquUUguVUqNbOkgpdYlSaqlSamlxsW+pnboLw+PGMG/AMyTazIKxKkcFt+26\nnA3Vq3zqVymTy/HnQ1xtu8vhmeVQUedT10KY0+iAl9fCCrdkNpPS4Xdj2l9c00m1vZJ78q6nylEJ\nQN/IdKkWLbQLf4jZciBbaz0e+Cvw35YO1Fo/q7WeorWe0revTOY6GRo3ivuy/05ShFkwVu2o5Pbd\nV7KueoXPfR+bbUrRO9lTCX9bDgdqfe5aCEPq7fDCKljn9iw6NdPM1UZ08G7i0A4eKbiD3fXbAYhW\nMczNekRqkwntwmcx01qXa60rrfcfAVFKqT6tnCY0Y3DscO4f8Pem5MQ1jmru2HUVa6qW+dz3kVnm\nZuNMx1pcDU8vgxLf6oYKYUZto5l73ew26XDMADNH297s9+68uu9ZFld+1bR9TcbtDIkb2fEOhbDE\nZzFTSqUrK221Uupwq8+SQ58leGNg7FAeyH6O5AizArpW1/Dn3VezsupHn/uekgHnjoUI66ZTWmsE\nrbDK566FMKC6wcy5bjvgajtxkHFj+5K0flHFl/xn37NN279M+T0/63maD5YK4UpbQvNfBRYBw5VS\neUqpi5RSlymlLrMOmQmsVUqtAp4AZmktyZQ6yoCYHB7IfpaUSDO4rdO13LX7T34p8Dku1UzQO+c1\nyuvgb8sgv8LnroVuTEWdcU3vLne1/WKImZP1Rch21W3jkYLbm7YnJBzBhalX+2CpEM6oQOnOlClT\n9NKlSwPy2aFAfv0u5uy8lH2NpvpmpIpibtYjHJY4w+e+c/fDC25rz+KslFjZ7cxmLnR/DtSaEVlx\ntdlWmDnYaVm+9Vtpr+C67edS0GDi+tOiMnls4MskRSa3cqaglFqmtZbS2s2QDCBBSmb0AB7Ifo6+\nkSalR6Nu4N7d17O44muf+x6SApdMdK0Fqmk0N6ytpT53LXQj9llzq+5Cds4o34XMru08lD+nSchi\nVCy3Zz0iQib4hIhZEJMRncX87H+QFmVSejTSyH15N/F9+ec+953d05SQSbAin+vt8I+VpgaVIBRW\nGddiqRX1GqHMnOvkDN/7fqX4aZZWfd+0fV2/uxgUO8z3joWwRsQsyEmL7sf87OfIiDKPw3YaeSB/\nNt+W/8/nvjN7mESwSVax3kYH/Gs1LCmQEjLhzLZSM5dabq1HjLSZRNbjUn3v+9vy//FGyQtN22f3\nvpCjkk70vWMh7BExCwH6RqXzQPY/yIzOBsCBnQfz5/Bl2Uc+952WYEp09LIym9s1vLEBXloDlfU+\ndy+EEA12k2fxmeVQZWWKiYmAP06AEX5YbLO9djOPFtzZtD0lYTrn9r3C944FARGzkKFPVCoPDHiW\n/tEmR5UDBw8XzOWFoiewa9+SLvaOs4onxrva1hbDw4thTZFPXQshwu5yeOwnUwvPOSiPizQJgwf7\nYe3ymqplzNl1GXXa+C37RQ/gpsz7iFAdzH0lCM2QaMYQo7SxhNt2Xc7OOle9jfHxh3FL5gM+Z0yo\nazRVqhfne7ZPSoczh3U8C7oQvDQ64PMd8MUOz2Kuw1LgNyMhuQO1yNzRWvNh6Zs8W/gwdsxDV5wt\nnr8MfIkBMTm+dR6mSDSjd0TMQpAKexkP58/1mETvE5nGnKyHGB43xuf+N5XAmxugzC2HY1KMubmN\n6N3yeUJosbfSJAt2X2cYHWHWkE3N9G0NGUCDbuCZvfP5+MDbTW3JEb2Zm/UwI+PH+9Z5GCNi5h0R\nsxDFoR28uu9ZXt33XFOW8UgVxWVpN3NK8q9QPt6Jahrgv5tNgU93pmaarA8dLfEhBB6Hhq93mYKa\ndref/6BkE3rfO873zzjQuJ/78m5kXc3KprYhsSOZm/UIfaPSD3Gm0BoiZt4RMQtxllR+x0P5t1Hl\ncD1en9jzDC5Pn02MzUcfEWbO7K2NroAAgJRYc9PLkTywIUdxNby+HnaWudoibXDKYDiqv285Fp3k\n1mzg3rwbKG50PQkdm3Qq12Tc7pfvZLgjYuYdEbNuwJ76PObl3cj2Olel6sExI5iT9RDp0ZmHOLNt\nVNYbQVvrlildATP6w6mDO16/Sug6HBoW5cGHudDgcLVn9YBZo01Uqz/4uuwTHt9zV1Ogh0JxYeo1\n/CrlPJ+9BYJBxMw7ImbdhFpHDU/tvY8vyj5saku0JXFT5jymJE73uX+tYWUhvLPJZAxx0jceZo2C\nAZIKK2gprTHLLXLdMrzYFJwwCI7L7njpFnfs2s7LxU/zptsasgRbIjdn3u+X75/gQsTMOyJm3Qit\nNR8dWMCzex+i0YocUyh+1+cyzulzETbl+12rrBbe3GiCRJzYFPws29wcO1qcUfA/WsPSPfDuZqiz\nu9rTE8xoLLOHfz6nyl7BQwW3saTyu6a2zOhs7sh6lKyYgf75EKEJETPviJh1QzZUr+L+/JspaXT5\nBQ9PPIob+t1LYoTvdzCt4acCs8DW/SaZkWhGaf38dJMUOk55HSzY6JmeTGGKtZ6U47+Hjvy6ndyd\ndx159Tua2qYkzOCmzHl++a4JByNi5h0Rs25KaWMJ8/NvZU216xpnRGUxJ+thcvyUB29/jQkmcK9x\nFaHMzfKYAf5xXwntZ2UhvLMRqt3cwX3i4JzRMNCP7uClld/zYP6tVDkqm9pm9r6A8/peKYuhOxER\nM++ImHVj7LqRfxU9yVv7X2pqi1GxXJVxG8f1/LlfPsOh4fvd8NFWswDXyYAkE/GY6qfAAqF1qurN\nnOaqZllbpmfBaUPMGjJ/oLXm7f0v82LREzgwf/RoFcO1GXdwbM9T/fMhQouImHlHxCwM+K78Mx7b\ncyc1juqmtl/0Ops/pt1AlPJPWo+iKrMA172AY5TN3ESPzPJPyLfQMuuLzVymez7N5Fg4Z6Qp+eMv\n6hy1/HXPvXxZ7soL2icyjblZjzA0bpT/PkhoEREz74iYhQm76rYxL+9Gj7mNEXHjuDXzQfpE+SEd\nOmB3wFe74NNtnotxByfD2aMgxQ+LcQVPahrh/c2wZI9n++H94PSh/l3cvq+hiHvzrmdL7fqmtpFx\n45mT9VBTZXSh8xEx846IWRhRba/isT138n2Fqx5ackQKszPnMzZhst8+p6DCjNL2uKZSiI6AwzJM\nBpH0RL99VNhSVgc/5Zs8muVuo7Ee0TBzJIzys7ZsqF7FvLybKLW7IkpO6nkWV6TPJsoW7d8PEw6J\niJl3RMzCDG/zHTYiuDD1Gn6Zcq7fFrY2OuCz7SaBbfNvWE6yEbWxqRLK3x4cGnL3w6J8WL/PMzEw\nwIQ0OGu4q+Cqv/j0wLs8ufc+GrVJA2MjgkvTbuTnvc6WhdABQMTMOyJmYcqqqiXMz59Nmd21knZG\njxO5NuMO4iP8F7Wxq8wkLd5bdfC+hCjjDpuaKS7IQ1HVAEsLzChsX83B+xOj4axhMD7Nv59r1438\no/BR3it9taktKSKZ2ZnzGZ9wmH8/TGgzImbeETELY/Y1FHJ//s1srFnT1NY/ehC3ZT1M/5hBfvsc\nh4atpSad0jovIwoFDOsN0zJNVn4J6Tdr+XaWmVHY6iLPSFEnOcnmmo3phBFueeMBHsi/hVXVS5ra\nBsYM4fasR/2SIk3oOCJm3hExC3MaHPU8V/QIH5a+2dQWb0vkpn73cniPo/3+eWV1ZsH1j/meJWac\n9IyBIzLNiK1njN8/PuipbTSVChbne845OomNhCnpZjSb1klzj5tq1vJg/hz2NuQ1tR3Z4ziu73c3\ncbb4Q5wpdAUiZt4RMRMA+PzABzy5dx712iiMQnFu38s5p/dFnTIvYnfAxhJz095UcvC8mk3B6D4w\nNQuG9Or+of0FFWYUtmKvZ1YVJ1k9YFqWmRfz13qx5lTbK3mp+Gk+KH29qawQwO/6XMasPn/0Szo0\nwXdEzLwjYiY0sbV2I/fsvt6jdMf0HsdzXb+7OvWJvKTGjNR+KvAsNeOkT5wZiUzp5//ghkDSYDcL\nnBflwa7yg/dH2WCiNQrrn9S5tiyq+JK/7Z1PSaNrxXWsiuOGfvdwZNJxnfvhQrsQMfOOiJngQVlj\nKffn38ya6mVNbQNjhjA36y9kRGd16mc3OmBtkRmhuKfIchJpg3GpZoSSneR7JeRAUVxtRqRLCzxT\nTjlJSzBzYZPSIa6TxXtfQxHPFM5nUcWXHu2TEqZxZfocmR8LQkTMvCNiJhxEo27gH4WP8n7pa01t\nibYkZmfNZ2LCEV1iQ2GlEbVle808UnMyEs0Nf1xaaIzW6u3Grbooz7MUi5MIZZYqTMs0FZ87W6jt\n2s7C0gW8WPwkNQ5XqGnPiF5cknYTxySdLGH3QYqImXdEzIQWOXh9kY0/pP6Js1J+12U3unq7SZy7\nKA/yKrwfExcJvePcXvHm35Q4E0TSFfNtWptUUiW1UFJtXKfO1/4aqKj3fl5KrHEjHtbPhNh3BTtq\nt/DXvfd6RLGCWQT9h7Rr6REhxemCGREz77QqZkqp54FfAEVa6zFe9ivgceA0oBq4QGu9vLUPFjEL\nDTbWrGZe3o3sb3RlfvhZ0mlcnTGXGFtsl9qyu9y451bs9ayWfCgilBG13l5eKXHtq5Jtd0BpradI\nub/3FrjhDQWM7GPcpcNSui64pc5Ry2v7nuOtkpex4xruZkUP5Kr02/yaBUboPETMvNMWMTsaqARe\nakHMTgOuxojZEcDjWutWfVEdFrPKUlj9CRwxEyL8mHhOaJH9DcXMy7/R40l+cOwI5mY9QmpURpfb\nU9Ng3I/L9kBhVduFzRs9Yw4Wu+RYa5RV4/k6UHvwGrm2EqFM3+NSzdKD5K59DmBF1Y88tWcee9zC\n7SOJ5Ow+f+Ds3n+QlFRdyaqPIW0IpA/p0OkiZt5pk5tRKTUQ+KAFMfs78JXW+lVrexNwrNZ6T/Nj\n3emQmNVXw9v3wL6dkD0eTr4Worv4rhCmNDjqeXrvA/yv7L9NbT0jejEn6yHGxE8KmF1aGxdek+hU\ne7r6vEVHdhaxES4Xp3Pk5y6QgVheUNZYyj+K/sIXZR96tI+Om8BVGXMZEJPT9UaFK9oB3/0bVi2E\n2B4w805Ibv/DoIiZd/wxtMkEdrtt51ltB4mZUuoS4BKAAQMGtP+T1n9lhAxg5yp45x44/WaIFx9/\nZxNli+aajNsZHDuCZwsfxk4jZfZS5uy8jEvTb+K05JkBCRhQCpJizGtQ8sH7axsPdgk6Re9AAYqm\nsgAAG8pJREFUXftHWkkx3l2WveMgPip4Iiy11nxe9gH/LHqUcrsrNDTBlsgfUv/ESclnybqxrqSx\nHj77G+T+aLZrK+Cnt+GkKwNrVzeiS/10WutngWfBjMza3cH4U6G2EpZao4Pi7bDgDjj9FujVz5+m\nCl5QSvGLlLPJjhnM/fk3U2YvxU4jT++9n621G7k87Zagc1fFRkJmD/NqTvM5MOerrNYEY/g6xxYo\n8ut38dSeeR6pqACOTjqJi9NulHItXU1tJXz0FyjY6GrLOQyOuzhwNnVD/CFm+UB/t+0sq83/KAVT\nz4bE3vD188bHVF4Mb90JP78RMoZ1yscKnoxNmMxjg17h3rwb2FprfqCfHHiHXXXbmJP5IClRfQNs\nYduIsEGfePPqDjToBt4ueYlX9z1Hg3aFT6ZGZXBF+q0cljgjgNaFKeXF8P6DUOp2Sxx3Msz4Pdhk\nZOxP/HE13wPOU4apQFlr82U+M+Z4OO0GiLSS99VWwn/nwdYlhz5P8BupURk8mP1Pjk06taltQ80q\n/rTjXDbVrA2gZeHJhupVXLv9/3ip+KkmIbNh45cp5/J0zpsiZIGgeAcs+LOnkB35f3DUeSJknUBb\nohlfBY4F+gCFwJ+BKACt9TNWaP6TwCmY0PwLtdatRnb4JTS/MBc+eBhqnLmAFBx9Pow7ybd+hTaj\ntead/a/wQtHjTfXRolQ0V6bP4cTkMwJsXfenyl7Bi0VPsvDAAo98ioNjR3B1+lyGxo0KoHVhzK41\nsPAxaLBq9tgi4YTLYNiRPnctASDeCf1F02WF8N4D5l8nk06HaeeATHB3GcsrFzE//1YqHa4kg2f0\n+i0Xpf2JSBUCKTpCiKKGApZXLmZ51WJWVi2myuFKrx+jYvl93ys4I2UWEUqWrgSEjd/CF8+Cw1p4\nGB0Pp10PWf55sBAx807oixmYkdkHD5uRmpNhR8Lxl0KE3Ei7ij31u7kn7wZ21rn+DuPipzA7cz49\nI3sF0LLQptpexerqpayoWsyKqsXk1+/0etxhiTO4In02qVESDBUQtIZl78LiN1xtiSkmQK13/5bP\nayciZt7pHmIG0FAHn/wVdrglH8kcBaddBzH+q5wsHJoaRzV/KbiDHyq+aGpLjcpgbtZfGBw7PICW\nhQ52bSe3dgMrqhazvHIRG2vWeGTsaE5aVD8uTL2GGT1OlHyKgcJhh29ehLWfu9p69zdLhxJ7+/Wj\nRMy8033EDLx/oVL6wxn+/0IJLePQDt4oeZ6Xi59uaotS0UxOOJLDEmcwJXE6faLSAmhh8FHUUMCK\nyh8t1+GPHu7a5sSoWMbET2JiwlQmJU5jQHSOiFggaaiFT570fJDOGg2nXgcx/g+VFTHzTvcSMzBD\n/eXvwyJXxvfOGOoLrfNjxdc8VDDXIyu7k0ExQ5mSOIPDEmcwIm5s2M3vVNurWFO9lOWtuA6dDI4Z\nwcTEqUxKmMrIuPFE28KwDHcwUlMOHzwEhVtdbcOmW1McnfOdFjHzTvcTMydeJ2GvM09MQpexu247\nDxXc1rQezRsJth5MTpzGlIQZTE48kuTIlC60sGuwaztbazeyvGoRK6oWs6F69SFdhymRfZiYMI1J\nCVOZkHBEt7wmIc+BvfD+/GbBZ2fAtLM7NfhMxMw73VfMAHavgY/cw2Mj4ITL/RIeK7QdrTUF9btY\nUvUdSyu/Z031sqayMs1RKIbGjuawxOlMSZzBkNiRIZd2SWvN3oY8NtesZ0vtOjbXrCW3diN1urbF\nc2JULKPjJzIpYRoTE6aSHTNYXIfBTACXBYmYead7ixmYXI7vPwhVbhURj/wtTPxF8CTSCzNqHNWs\nrPqJpZVG3PY1FrZ4bHJECpMTp3NY4nQmJkwjMcJLXqoAs7+hmM2169lSs47NtWvZUruBCntZq+fl\nxAxvch2OipsgrsNQYfsyE2zWaGVZiYiCk68yKaq6ABEz73R/MQOo2GfcAfvdVuKPPUlW4gcBWmt2\n1G1hSeX3LK38jg01q3HgvTCYjQhGxY9nSsIMDkucTnbMkC4fvVTaK9jSJFzr2FyzjpLGojad2zsy\nlQkJhzPRch32ipSgpJBj7eeuVHoAsYldnkpPxMw74SFm0HKyz5OuhMjgSo4bzlTYy1lRtYilld+z\ntPJ7yuylLR7bJzKNwbEjiLclEGdLIC4innhbgrUdT7wtkThbvHkf4XyfQLwtvk0BJ3WOWrbVbmoS\nrS2161sN1HCSaEtiWNwohsaOZljcGIbFjgqZnJWCF7SGH990JTkHSOoLp8+GXl1b00/EzDvhI2YA\n9gb49G+Qu9jVlj4Mfn4DxAWf+yrccWgHubUbWFL5LUsrv2dz7Tq/9R2jYi3B8xTCOFsCkSqS7bVb\n2Fm39ZBBGu59DYkdwdC40QyNHc3wuNGkR2XJnFd3wd4IXzwHm751taXmwC9uCkj5KREz74SXmIEp\nkPf9f2DlR6625Aw44xZISu16e4Q2U9pYwvLKRSyp/JblVYs80jh1FRFEMjB2CMNiRzM0bjTDYkcx\nICYn7JYWhA311bDwcRNM5iR7Apx8TcAKA4uYeSf8xMzJyoXw3SvgTM4a39M8aaVK5d1QwK4b2VK7\nnv0N+6h2VFHjqKLGUX3Q+2q7eV/jqLL2mffuSXkPRVb0QIZZI65hcaPIiRkugRrhQmUpfPCgqyAw\nwKifwbF/MJHRAULEzDvh+zg54VSzmPrTp437sbrMVK4+4XIYfHigrRNaIUJFMiJuHMS1/1ytNbW6\nhhq7m+i5CV2do5aM6CyGxI4kIQijJ4UuoGibyXpfsc/VdvhMOOyXEgUdpISvmAEMOcKMyD58BOqq\nTH7HhY+Z4nnT/0+SFHdTlFLEKRMYIggeaA1r/gff/Rsc1nypssHP/gijjg2oacKhkbj0fiPg13ea\nyCQnqz+BBXd6ruwXBKF7U1dlHma/+ZdLyKLizPSDCFnQI2IGkJIJ59znueixeDu8PgdyfwycXYIg\ndA2FW83vfZtbtfq+A+GceZA9PmBmCW1HxMxJTAKc+idrIbU1uVtfAx8/Dl+/4FrtLwhC90FrWLUQ\n3roTyotd7WNPgpl3QXJ6wEwT2kd4z5k1RykYfwqkD4VPnnB9udd8Cnu3mHBc+XILQvegttIkI9/m\nFlUdHQfHXWLm04WQQkZm3kgb7MXtuANevw22LG7xNEEQQoTCXPN7dheyvoPM716ELCSRkVlLON2O\n7pFNDTVmxJa/HmacK2mwBCHU0BpWfQw//MdVHgokgrkbIGJ2KJQyX/L0ofDxE1BuJZRd+5lxO55y\njckeIghC8FNbCZ//3WS9dxIdD8dfImtLuwHiZmwLqTkHux/27YTX58KWRYGzSxCEtrE310QrugtZ\nag7Muk+ErJsgI7O2EhNvAkAyP4NvX3ZzO/7Vcjv+XtyOghBsaG3ysC56zdOtOP5UU9cwQm6B3QX5\nS7YHpWDsiZA2xMydORdVr/3cPPmdfE2Xl4MQBKEFvLkVY+Lh+Eu7rJCm0HWIm7EjpA4yiymHTHW1\n7dsJb9wGm38InF2CIBj2bjnYrZg2GM65X4SsmyIjs44SHQ8nXw1Zo4zb0d4ADbXwvyeN2/Go88Tt\nKAhdjXbAio9g8eviVgwz5C/rC0rBmBOM2/Hjx11ux3VfGLfjKddAr36BtVEQwoWaCvj8GdixwtUW\nEw/HXwY5UjGlu9MmN6NS6hSl1CalVK5SaraX/RcopYqVUiut1x/9b2oQ48zhNtTN7Viyy7gdN30X\nMLMEIWzYs9m4Fd2FLG2I5VYUIQsHWh2ZKaUigKeAE4E8YIlS6j2t9fpmh76utb6qE2wMDaLj4aSr\nIXM0fPuS5XasM/XS8tfD9HPNU6IgCP7D3ggrPoQf3zQuRicTfg7TzhG3YhjRlr/04UCu1nobgFLq\nNeBMoLmYCUrBmOMhfYhZZH1gj2lf/xXsWGmyhgydJsX9BMEf7NkEXz4P+3e72mIS4ITLYNDkwNkl\nBIS2uBkzAbdvC3lWW3N+rZRarZRaoJTq7xfrQpU+2XD2vTD0SFdb9QETHPLufVBaEDjbBCHUqSk3\nIfdv3eUpZGlDYNb9ImRhir9C898HBmqtxwGfAv/ydpBS6hKl1FKl1NLi4mJvh3QfouPgpCvN2rP4\nZFd73jp4dTYsfkPKyghCe9AOWPclvHIjbPja1R4ZYyIVf3UH9OgTOPuEgKK01oc+QKlpwJ1a65Ot\n7VsBtNb3t3B8BLBfa93zUP1OmTJFL1269FCHdB/qq+HHBaaCtfv1TkqFYy6A7AkBM00QQoJ9O+Gr\n5836MXdypphlMGEkYkqpZVpriWppRlvmzJYAQ5VSg4B8YBbwf+4HKKUytNbWBBFnABv8amWoEx1v\nfnAjjjY/yMJc015eBO8/aHLDHfV7SOwdWDsFIdior3F7EHQL8OjRF44+HwZNCpxtQlDRqphprRuV\nUlcBnwARwPNa63VKqbuBpVrr94BrlFJnAI3AfuCCTrQ5dOk7EGbeaVwli16DuirTvvUn2LUKDp9p\nsvRLBJYQ7mhtfhffvgxV+13ttgiY+AuYchZExQTOPiHoaNXN2FmElZvRG9Vl8MOrsPEbz/be/eHY\nP0DG8MDYJQiBpqwQvn7RPOC5kzkKjrkQUrzFn4UP4mb0johZoMnfAF8/D/vzPdtHHgtHzoK4pICY\nJQhdjr0Blr0Py941753EJZllLcOmy7IWRMxaQsQsGLA3wqqF8NPb0Fjnao9JhOm/hZHHgJKc0EI3\nZtca+PoFKNvr1qhg7Akw9WyzfkwARMxaQiZngoGISJh0usnC/+1LrkzfdZXwxXOw/mvjeuwzILB2\nCoK/qSyF71+GLYs92/sOMt/5tMGBsUsIOWRkFoxsXwbf/Asq9rnalA3GnwKH/9qsYROEUMZhhzX/\ng8ULTJFbJ9FxMPUck8DbJt4Ib8jIzDsyMgtGBk2GrDGw9B2Td85hN2HJKz8yT7BH/d6E88v8gRCK\n7M0188TFOzzbhx1pcpgmJHs9TRAOhYhZsBIVA9NmwfCjzFxCvpUKs2q/KTczYDwcfR4kS2VrIUSo\nqTCZb9Z9Abh5hJIzjEsxa3TATBNCH3EzhgJaw+bv4btXTF46J0qZxMWTzpD5NCF4qdxvvArrPjeV\nJJxERMFhv4SJPzfvhTYhbkbvyMgsFFAKhs8waa8WvwFrPwe0JXI/mNegyTD5TJOxXxCCgbJCWP4+\nbPgGHI2e+7InmAwePdMCY5vQ7RAxCyViE407ZuQxRtR2r3Ht277MvLJGG1HLGi1zakJg2LcLlr8H\nWxZ55iIFkxTg8Jkmp6J8PwU/ImIWiqQNhjNvhcKtsOw92LbEtS9vnXmlDYbJZ5gRm6xRE7qCvVtg\n6buwY/nB+9KGmBRUAyeKiAmdgsyZdQdK8syT8OYfPJOxgkn9M/lMM7dmiwiMfUL3RWvIW2tELN9L\nvd7+Y833L3OkiJifkDkz74iYdSfKi2D5B6bWk3s6IICkvmZh9oijITI6MPYJ3QftMG7tpe9C0baD\n9+ccZjwDsujZ74iYeUfErDtSVQorF8Laz6Ch1nNffDJMOA3GHC+Lr4X247CbubBl7x6cT1TZzFqx\nyWdASlZg7AsDRMy8I2LWnamthNX/g1Ufm9RY7sQkmHIz406GuB6BsU8IHRrrTYWH5e9DebMq8RFR\nMOpYE2KflBoQ88IJETPviJiFA/W1sP4Lk02kqtRzX1QMjD7BjNYSewXGPiF4qa8xI/yVC6H6gOe+\nqFgYeyKMP1WydnQhImbeETELJ+wNsPFb83RdVui5zxYJI48282qy9keoqTDVnVd/4ioi6yQ20eQJ\nHXuSeS90KSJm3hExC0ccdsj90Uze79/tuU8pkxdy6DSzFkhuVuFDY70piLllMWxf7lmOCCChl3El\njj7OjMqEgCBi5h0Rs3BGO2DHCiNqhbkH77dFwIBxRtgGTYLo+K63Uehc7I1m8f2WRSY6sb7m4GN6\nppmUaSNmSNqpIEDEzDuyaDqcUTazqHrgJFPxetm7nllFHHYjdjtWmJtY9gQYOtUsfJUn89DFYTcL\n67csNgvum7sRnfTJtursHSFrFIWgR8RMsFyLo8yrYp+5yeUu9lw/ZG8wN75tSyAyBgZNhCHTIHu8\nrFsLBRwOKNgIuYsg9yeorfB+XM80UyR26DSTekoWOgshgrgZhZYpK3QJ276d3o+JioOcyeYGOGCc\nqZotBAfaYVJMbVls5kibRyM66dHHErCppsKzCFhQI25G74iYCW2jNN/cFLcsNu+9ERNvMj8MnWYS\nHYtrquvR2oyonQ8hlSXej0voZdyHQ6eZvIkiYCGDiJl3RMyE9qE1lOw2N8otiw4O8XcS28NUwx46\nFfqNBJskO+40tDYjZ6eAlRd5Py4uyQjYkKnQb7gkoA5RRMy8I2ImdBytoXiHS9gq9nk/Lj7ZuCLT\nh0JqDiT3E3HzBa3NtS7aZionbF8GB/Z4PzYmEQZbo+XMkTJa7gaImHlHxEzwD1qbG+uWRWZ+pmp/\ny8dGxULfgUbYnK+eaeLqaonKUii2hKtouxGxlgI4wCyhyJnicvfKPGa3QsTMO/ItF/yDUqbKdfoQ\nmPE72LPZJWw15Z7HNtSayLqCja62mHgTfJCaA6mDIXWQCUwIN4GrKTdiVbQNCq1/WwrccCcq1qwF\nHDrNCsSR9WBCeCEjM6FzcTigYAPs2WRGFYVb23ZzBjPvlpoDadborW9O98ofWVsJxdtd16V4e8uu\n2uZExxvBTx1sHiAGjJMlEmGCjMy8IyMzoXOx2YyrK2u0q83pNnMffXhzm9VWmPRKu1a52uKTTY2s\nVGsU1zPdVACISQjOeTjtMIme6yqhosQ16ira1nLwTHOiYtxGreKWFQRvtEnMlFKnAI8DEcA/tNYP\nNNsfA7wETAZKgHO01jv8a6rQbUjsBYmTTfYR8AxoaHpth/rqg8+tPmACHrYvO3hfdLwRtVhL3GIT\nLaFLdLV5vLeOjYo7tDBobfIW1lVCbZXJmOHx3nrVVjb7twrqq8z5bSUiym0+0Rp5JWcEp1ALQhDR\nqpgppSKAp4ATgTxgiVLqPa21e430i4BSrfUQpdQsYD5wTmcYLHRDlDKVsJP6mtBxMCOaskJXwEPR\nNuOGa6hruZ/6avOqKG75GK+fb/MUv+g4k2S31k2kHI0d//+1hC0Ceg9wuVFTc6BXpgRsCEIHaMuv\n5nAgV2u9DUAp9RpwJuAuZmcCd1rvFwBPKqWUDtSEnBD6KJsZkSRnmOrFYObfDhS4Rm5F26G61BoZ\neRnFtRXtMC7NQ0UI+kJUrBHK2B4m32GaNf/Xp78EagiCn2iLmGUC7nVC8oAjWjpGa92olCoDegMe\ns9lKqUuAS6zNSqXUpo4YDfRp3neQEKx2QfDaJna1D7GrfXRHu7L9aUh3oUv9GVrrZ4Fnfe1HKbU0\nGKN5gtUuCF7bxK72IXa1D7ErfGjLrHI+0N9tO8tq83qMUioS6IkJBBEEQRCETqctYrYEGKqUGqSU\nigZmAe81O+Y94Hzr/UzgC5kvEwRBELqKVt2M1hzYVcAnmND857XW65RSdwNLtdbvAf8EXlZK5QL7\nMYLXmfjsquwkgtUuCF7bxK72IXa1D7ErTAhYBhBBEARB8BeyElMQBEEIeUTMBEEQhJAnaMVMKfUb\npdQ6pZRDKdViCKtS6hSl1CalVK5SarZb+yCl1I9W++tW8Io/7EpRSn2qlNpi/XtQ5lul1M+UUivd\nXrVKqbOsfS8qpba77ZvQVXZZx9ndPvs9t/ZAXq8JSqlF1t97tVLqHLd9fr1eLX1f3PbHWP//XOt6\nDHTbd6vVvkkpdbIvdnTAruuVUuut6/O5UirbbZ/Xv2kX2XWBUqrY7fP/6LbvfOvvvkUpdX7zczvZ\nrkfdbNqslDrgtq8zr9fzSqkipdTaFvYrpdQTlt2rlVKT3PZ12vUKC7TWQfkCRgLDga+AKS0cEwFs\nBXKAaGAVMMra9wYwy3r/DHC5n+x6EJhtvZ8NzG/l+BRMUEy8tf0iMLMTrleb7AIqW2gP2PUChgFD\nrff9gD1Asr+v16G+L27HXAE8Y72fBbxuvR9lHR8DDLL6iehCu37m9h263GnXof6mXWTXBcCTXs5N\nAbZZ//ay3vfqKruaHX81JnCtU6+X1ffRwCRgbQv7TwMWAgqYCvzY2dcrXF5BOzLTWm/QWreWIaQp\n1ZbWuh54DThTKaWA4zCptQD+BZzlJ9POtPpra78zgYVaax/yLbWJ9trVRKCvl9Z6s9Z6i/W+ACgC\n+vrp893x+n05hL0LgOOt63Mm8JrWuk5rvR3ItfrrEru01l+6fYcWY9Z7djZtuV4tcTLwqdZ6v9a6\nFPgUOCVAdv0WeNVPn31ItNbfYB5eW+JM4CVtWAwkK6Uy6NzrFRYErZi1EW+ptjIxqbQOaK0bm7X7\ngzSttbNG/V4grZXjZ3HwD2me5WJ4VJmKA11pV6xSaqlSarHT9UkQXS+l1OGYp+2tbs3+ul4tfV+8\nHmNdD2dqtrac25l2uXMR5uneibe/aVfa9Wvr77NAKeVMsBAU18tyxw4CvnBr7qzr1RZasr0zr1dY\nEND03Eqpz4B0L7tu01q/29X2ODmUXe4bWmutlGpxbYP1xDUWs0bPya2Ym3o0Zq3JLcDdXWhXttY6\nXymVA3yhlFqDuWF3GD9fr5eB87XWDqu5w9erO6KUOheYAhzj1nzQ31RrvdV7D37nfeBVrXWdUupS\nzKj2uC767LYwC1igtba7tQXyegmdREDFTGt9go9dtJRqqwQzfI+0nq69peDqkF1KqUKlVIbWeo91\n8y06RFdnA+9orRvc+naOUuqUUi8AN3alXVrrfOvfbUqpr4CJwFsE+HoppZKADzEPMovd+u7w9fJC\ne1Kz5SnP1GxtObcz7UIpdQLmAeEYrXVTLZwW/qb+uDm3apfW2j1t3T8wc6TOc49tdu5XfrCpTXa5\nMQu40r2hE69XW2jJ9s68XmFBqLsZvaba0lpr4EvMfBWYVFv+Gum5p+5qrd+DfPXWDd05T3UW4DXq\nqTPsUkr1crrplFJ9gOnA+kBfL+tv9w5mLmFBs33+vF6+pGZ7D5ilTLTjIGAo8JMPtrTLLqXURODv\nwBla6yK3dq9/0y60K8Nt8wxgg/X+E+Aky75ewEl4eig61S7LthGYYIpFbm2deb3awnvAeVZU41Sg\nzHpg68zrFR4EOgKlpRfwS4zfuA4oBD6x2vsBH7kddxqwGfNkdZtbew7mZpMLvAnE+Mmu3sDnwBbg\nMyDFap+CqcLtPG4g5mnL1uz8L4A1mJvyK0BiV9kFHGl99irr34uC4XoB5wINwEq314TOuF7evi8Y\nt+UZ1vtY6/+fa12PHLdzb7PO2wSc6ufve2t2fWb9DpzX573W/qZdZNf9wDrr878ERrid+wfrOuYC\nF3alXdb2ncADzc7r7Ov1KiYatwFz/7oIuAy4zNqvMMWOt1qfP8Xt3E67XuHwknRWgiAIQsgT6m5G\nQRAEQRAxEwRBEEIfETNBEAQh5BExEwRBEEIeETNBEAQh5BExEwRBEEIeETNBEAQh5Pl/EIt5bAK2\n2p0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f38380689b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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GcnJyiIyMJCoqCgB/f3+qq6vJyspyqsyMRiPZ2dmEh4fbrZMLDg5WTbnz5s0j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\nPFrMNBqNRhPy/D9TK2HEl34cegAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f38380b3dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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NDZ1Oh8FgUPebTCZycnKIiooiOjoagICAAKqrq8nKynKpzEwmE9nZ2URERDis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\n9qiiu5MaAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f383801a978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Z+fj44Obmhk6nw2AwqPtNJhP5+flERkYSFRUFQEBAAHV1deTm5rpUZiaTiby8\nPMLDwx3WyYWEhKhLFubOncvQoUN5//33+eCDD05JKRdZv5d/CSGesioqGy9JKf8DyvwakA+MBd6U\nUqYJIfaiKK/N1jpewHgU5YgQwh9F4T0lpVxgbXOTEMIXeFwI8YaU0jYfEQIMk1LusXUuhHgOqALG\nSSmrrftOoShSWx2Bomw/kFL+1W6/EXhNCPEvKWURgJSyVAhxDOhPE8pMMzM2Qmd/R+/G9ReIubG5\nkYaUksWLF9OzZ098fHzw8PDg9ttvx2g0qmt6vvvuO4KDgx0UmT3bt2+nurq6SU+z1jBmzJgG+9LS\n0pgwYQLh4eG4u7vj4eFBeno6GRkZgPLH/fPPPzN16lSXa6auvfZadDqdaj4ym82UlJQ4zCn5+vpy\n8cUXN7s15SjRUgICAoiKiiIgIICAgADi4+MJCgoiNze3xSPEpqirq2t2VNgawsPDCQsLw8/Pj+Dg\nYBISEvDw8Gjx3KA9VVVV6PV6B8Xi6emJwWBoMHpu7cjeZl609170Ps3bUF1djcViadSMXFNT49IL\ntLKyEovF4lLZmc1mdu/e7bC0wsonKP/hVzrt/8b2waoQTgIxTufdaGeiHAX4AbYQMVcCemC1EEJn\n24DvgHCntrLtFZmVK4BNNkVm5UunOglAF2BVI314A0lO9QtRRngu0ZSZC4bH12eltpkbLe1msUHr\nqampoaioSH3Lb4zFixcza9YsJkyYwBdffMEvv/yijopsJqmioiKHN2VnbPMHTdVpDc7ylpeXc911\n13H8+HFefPFFfvjhB3bu3Mmll16qylhSUoKUskkZhBDo9XqKioqQUlJcXIyUkuDgerO9m5ubOlJr\narONXmwjDWcnG1u5tcokKCgIk8mkzlm6u7tjNpsbKDez2Yybm1uTzhdSygbHz6Q9Z9zd3QkICHBY\nEN1SamtrG703Op2uwWi2tffQ3rzoJiDIG/V+tvYlxKasnM+zlV05V9muwVV/hYWF1NXVNfZs2swo\nznNJpU7lWhQFYeMTIBS4xlq+GdgupbStMre9saUCdXabzSxpb6dqzJQTATiEeJJS1gD2bx62PtY7\n9XG4kT4AjE7X0ADNzOgCm7nxlQvE3Lh582ZMJhNXXun8klfP6tWrmTRpEk8//bS6b/9+x3jTISEh\nTb59294+c3NzHUY59nh7ezdwKnG1psd5ZLV9+3ZOnDjBpk2bHNZV2U+kBwUF4ebm1uwowWAwYDQa\nKS8vp6jV7mGHAAAgAElEQVSoiMDAQIc/y9aaGb28vBBCUFNT4zB3ZFOyjZm0WoNtbstoNDrMc9XU\n1DTrFajT6Rr82Z5Je43RksghjeHp6dmop6rJZGqgvFrTh1kqSTdt2LwXT506hYeHR6u/D5sych7l\n2pScs3nZhq1uXV1dowotNDQUDw+PxjxIbdqt+QlMO6SUWUKIFOBmIcSPwDiUOSsbtvbG0riysv/R\nN/aKnwd0st8hhPAGDHa7bH3cDfzaSBuHncqBNHOd2sisCWL84eoLwNxYWlrKY489Rvfu3ZtcpFpd\nXd3gAbdPLQKKea64uJi1a9c22saVV16Jj49Pk9EZYmJiOHDggMO+b775xkXthjKCo2LYtm0bR44c\nUct6vZ4BAwbwwQcfNGmi0+l0+Pv7k5OTQ0VFRQPl21ozo81b0Nl5ori4GIPB0OpRRUlJCTqdTl1w\nbDAYcHd3d2jfbDZTWlrarPnNy8sLo9HosO9M2nPGYrFQWlqqzje2Br1eT2VlpYN8tbW1VFRUOMxZ\ntZYau0GdbXH0qVOnKCkpcXCsaQwhRAPXf9tcmvOLV0lJCd7e3i5HXnq9Hjc3N5dej+7u7vTt29ch\n2LOVmwALioNEa1kJTLBuPoB949uBaiBKSpnSyFbeTNs7geFCCHuHD+d5h3QgG4hz0Yd6M6yel12A\njKY61UZmzTAsHlILIM/q3bgqDe5tx96NJpOJHTt2AIpJbteuXbzxxhtUVVWxceNGl2+PAMOHD2fJ\nkiUMGDCAbt26sWLFCofcU7Y6I0aM4LbbbmPu3Llcfvnl5ObmsnXrVt566y0CAwN54oknmDNnDrW1\ntYwePRqj0ci6deuYN28e0dHRTJgwgffee48HH3yQMWPGsHnzZnWhd3MMHDgQg8HAXXfdxaOPPsqJ\nEyeYP3++OpFu49///jfDhg1j1KhR3H333ej1erZv306/fv0YO3asWi80NJRDhw7h6emJv7+/Qxvu\n7u4unRlcERkZSXp6OseOHSMoKIiysjLKysro0aOHWsdoNLJv3z7i4uJUBZqZmYler8fX1xcpJUlJ\nScyePZtJkyapoxE3NzciIiLIzc1VFxvbHHpsi4NdYTAYGrjbt7S9wsJCtm3bxvjx49VRSGZmJiEh\nIXh5eamOEXV1dadlXg4JCSEvL4+DBw8SFRWlejPqdLpGlc7QoUOZPHkyf/nLX1y2aZFgqqujrroC\nIUC413H0ZBlFRUX4+/sTEdHk9Aw+Pj7qd6fT6fDy8kKn0xEeHk5ubi5CCHx9fSktLaWsrMxhIboz\nOp2OyMhIsrOzkVISEBCgRnLJzs4mOjqaBQsWMGLECNtcs78QYhaKw8Y7Ts4fLWUVigPGc8BWa6ov\nQHW4mA+8LISIBbaiDHwSgKullBOaaXsxMAP4SgjxEorZ8R8oTiEWax8WIcTDwHKrw8kGFHNoV+AG\nYJKU0jZ0SEQZ1f3UVKeaMmsGZ3Pj4VL46Tj8qUvz556PlJWVceWVVyKEwN/fn+7duzN58mT+9re/\nNfsAz507l4KCAjVZ4sSJE1myZIm6vguUN9bPPvuMJ554gsWLF1NQUEBUVBS33XabWmf27NkEBwfz\n8ssv89ZbbxEUFMSQIUNU09uYMWN45plneP3113n33XcZP348L7/8MuPHj2/2+sLDw1m9ejWzZs1i\n/Pjx9OjRgzfffJNFixY51BsyZAibNm3iiSeeYPLkyXh6etKnTx81LJSNwMBAhBCEhISctpnMHj8/\nP7p160ZOTg4FBQV4eXnRtWvXZkc63t7eFBUVqQ4ftjk/53kU23eYm5uLyWRCr9erzhdNERQURF5e\nnoP35um2Z/P0y83Npa6uDjc3N/R6PYmJia1W/rb2EhISOH78uDrCtt3H03FaqTEptrGa8mJqyosR\nQnBKp8PHx4e4uDiCg4Ob/a4jIyMxGo0cOnQIs9msvnjYvBgLCgpUb8j4+HiHuVZX7el0OvLz8yko\nKECn02GxWNRn4rrrrmPlypW2qC3dgZnACyheh61GSnlcCLENJVzhgkaOLxJC5AAPAg+jrCHLwM4j\nsYm2s4UQY4CXgf8CacCdwCbAPij9J1Yvx39aj5uBQ8BaFMVmY6R1f2PmSBUtnFUL2ZgF3x5RPnu4\nwYMDoFPrLSYa7Yi0tDSioqI4ePAgSUlJ5ySs0ukSFxfHu+++26rYhc2RmppKSEhIsy81jc1VHTly\nhPj4+LPuFXk6NDUys0hlDanN6cNHByE+52f26I4UzkoIMRj4AbhGStl4enLX524H1kkpn2qqnjZn\n1kKGxUOE1TxfZ4HV+zu2d+OFTk5ODjU1NZw4cYKAgIDzSpE5YzQamTlzJlFRUURFRTFz5kx1fik5\nOZlPP/0UgJ9++gkhBOvWrQPg22+/5bLLLlPb+e6777jqqqsICgpixIgRHD16VD0mhOC1116jR48e\nDiZRZ/7zn/8QFRVFZGSkw5rEpmRctmwZgwcPdmhHCKGasKdNm8aMGTMYM2YMfn5+DBgwgKysLLWu\nzdknICCA+++/v8l50DIn78VA7/NTkbV3hBDPCiFusUYCuQdljm4v0LI0CPXtDAAuAl5trq5mZmwh\nOje4+WI7c2NZ+zY3ajTN22+/zcCBA4mNjaVLly7w6m3Nn3S2uP+jVlV/+umn2bFjB3v27EEIwfjx\n43nqqad48sknSU5OZsuWLdx44418//33dO3ala1btzJmzBi+//57kpOTAfjiiy94+eWXWbZsGX37\n9uWll17i1ltvdcgA/fnnn/Pzzz83iGBiz+bNmzl48CCHDh3immuu4bLLLmPYsGFNytgSVq5cyYYN\nG7j88suZOnUqc+bMYeXKlRQWFjJx4kSWLl3K+PHjefXVV3nzzTe54447GrRR47Q4Wou9eE7xQpmP\nCwfKUda+PSSlbDpgZkOCgalSSuflBg3QvspWEOMP18TVlzdkQUEH9G7UUDIMxMbGcvHFF5+xy/y5\nZsWKFcydO5ewsDA6derEvHnzWL58OaCMzGw5wbZu3crs2bPVsr0ye/PNN5k9ezZDhgxBr9fzz3/+\nkz179jiMzmxznU0ps3nz5qHX6+nduzfTp0/n448/blbGljBhwgT69++PTqfj9ttvZ88eZZ3u+vXr\n6dWrF5MmTcLDw4OZM2c2aia1SCixC+Xo4yK1i8bZQUo5U0rZWUrpKaUMkVLeau9k0op2NkgpnRdc\nN4qmzFrJtXEQaWduXKWZGzXamJycHGJj69eQxMbGkpOTAyhLITIyMsjPz2fPnj1MmTKF48ePU1hY\nyC+//MKQIUMAJf3LAw88QGBgIIGBgQQHByOlJDs7W23XPtSSK+zr2MvRlIwtwV5B+fr6qpE/bOlp\nbAghGpVTMy92fDQzYyuxeTcu2akosSNl8ONxGKKZGzs2rTT9/ZFERUVx9OhRevXqBcCxY8dUrzpf\nX1/69u3Lyy+/TFJSEp6enlx11VW8+OKLdOvWTXX979y5M3PmzOH222932U9LvDmPHz+uLla3l6Mp\nGfV6vUNkkNYkio2MjHTIYiClbJDVQDMvXhhoX+lpEO2njNBsaOZGjbbk1ltv5amnnqKgoIDCwkIW\nLlzI5MmT1ePJycm8+uqrqklx6NChDmWAe++9l3/9619q2pSysrLGFuk2y5NPPklVVRWpqaksXbqU\nm2++uVkZL730UlJTU9mzZw81NTXMnz+/xf2NGTOG1NRU/vvf/2IymViyZImDMtTMixcOmjI7Ta6J\nqzc3mizwiWZu1GgjHn/8cfr168cll1xC7969ufzyy9W1gKAos/LyctWk6FwGZU7qscce45ZbbsHf\n35+kpCQ2bNjQalmSk5Pp3r071157LbNmzeK6665rVsaEhATmzp3LsGHD6NGjRwPPxqYIDQ1l9erV\n/OMf/yAkJISDBw8yaNAg9XhZTcPYi5p5sWOirTM7A7LL682NAGN7QLJmbuwwuFrno9E+qDE5WkyC\nvUF/VvMgn1s60jqzPwJtZHYGOJsbN2bByco2E0dDQ8OKZl688NAcQM6Qa+OU2I05FYo5Y1Ua/LXv\n+Rm7cf78+SxYoESuEUIQEBBA9+7due6661oUzupCp6amhvz8fCoqKqiursbPz4/ExMRmz6uurub4\n8eNUV1djMpnw8PDA39+fqKgoNUgwKM4LeXl5aigkHx8foqOjWxTUV0rJ/v37CQ8Pd5mNAJSAv9nZ\n2VRWVlJZWYmUkn79mn/Jt1gsHD58mKqqKmpra3F3d8fX15fo6OgGIaqKi4vJy8ujpqYGd3d3/P39\niY6OdrjWxigtLeXEiRMYjUY8PDy45JJLmpXLFU2ZF21xDwsLC9UcZB4eHvj5+dGpU6cmgxdXVlZS\nVlamOq9onBus2arTgUuklIdaco42MjtD3K3ejTbldbQMfjjW9DltSUBAANu3b2fbtm2sXLmSiRMn\nsnz5cnr37s2uXbvaWrzzmpqaGsrKyvD29m5VRBCz2YyXlxcxMTEkJCQQFRXFqVOnyMzMdIhWkZeX\nR05ODp06daJ79+54e3uTmZlJZWXzw/2SkhLMZnOzMQAtFguFhYW4ubmdVsT5iIgIevToQWxsLBaL\nhYyMDIdo9qWlpRw6dAiDwUD37t2JiYmhvLy8wbU6I6Xk8OHD+Pj4kJCQQPfu3Vstm40aE1TY5cEM\n9FaeU1s/hw4d4ujRo/j6+hIfH09CQoIaa/HAgQNNyllZWdmqJQUap4eUMhslDuTc5ura0EZmZ4Eo\nPxgWB99YM/BsPAQXh0JY62OqnnN0Oh0DBw5UyyNGjOC+++5jyJAh3HLLLRw4cKDJyPltQXV1dZML\ndf8oAgIC1NFCVlZWg8SQrjAYDA6Kw8/PD09PTzIyMtQsyhaLhdzcXCIiItTI8gEBAezfv5+cnJwm\nQ0gBnDx5kpCQkGYTZup0Oi677DKEEJw8eZLy8uayeSi4ubnRrVs3h33+/v7s2bOHkpISdVRfVFSE\nr6+vEjXFiru7O5mZmdTU1Lj8Huvq6jCbzYSEhDjkemstFgnF1RaQAoRQzIt2/3InT56kpKSEhIQE\nhywItlFZQUFBI61qNIcQwscps/TZYCnwrRDiYfuUMK7QRmZniWvilDk0qDc3thfvxsDAQBYtWkRm\nZiabNm1yWa+0tJS//OUvREVF4e3tTZcuXbjrrrsc6uzdu5dx48YRGBiIwWCgf//+Dm0ePnyYG264\nAX9/f/z8/Bg3blyDNDJCCF588UVmzpxJp06d6N27t3rsiy++oF+/fnh7exMREcGjjz7qMh392cD+\nLf1sRM23YXthsLVvNBqxWCwN0sz4+/tz6tSpBrmz7KmpqaGiooKgoKAW9X22rsOWbdr+HkkpG7wM\nNfdyVFhYyN69ewEldUxKSoo6+jGbzRw7dozffvuNXbt2sX///gapatLT08nKyqKgoIB9+/aRk74b\ni6muUe/F/Px8goKCGtxnG506dXJ5fwoLCzl2TDG7pKSkkJKS4pCc9dSpU6SlpbFr1y41eoqr7NL2\nVFVVcfDgQX799Vd2795NWlqawzU6PzNAdyGEw9BVCCGFEA8IIZ4RQhQIIU4KIV4TQnhZj8db64xx\nOs9dCJEnhHjKbl+SEGKdEKLcuq0WQkTYHR9qbWuEEOJLIUQF1tiJQoggIcRKIUSlECJHCPGYEOJ5\nIcQRp367WOsVCyGqhBBfCyGcbfY/oSTkvKXZm4g2MjtruLvBTRcr3o1mqZgbtx6DobHNn3s+MHTo\nUHQ6HTt27GDkyJGN1nnooYfYtm0bL730EhERERw/fpytW7eqxw8cOMCgQYNITEzkzTffJCQkhJSU\nFHURq9Fo5Nprr8XDw4N33nkHnU7HvHnzSE5OZt++fQ4msueee44hQ4awfPly9Y981apV3Hrrrdxz\nzz0888wzZGVlMXv2bCwWixrUVkrZoj+QlkR2t6VdOVvpX2ypW2pra8nOzkav16vzTTaF4NyPEAIp\nJUaj0eWopry8HDc3tz9k9GqT02Qyqeu57L+30NBQsrKyKCwsJCgoiLq6OrKzs/Hz83MpX0BAAN26\ndSMrK4uYmBgMBoM6v3b06FFKS0uJjo7G29ubgoICMjMzSUhIcBjBVVRUUF1jxDckGuHmjnB3J8jO\nvAhKQs/a2trTyqlmkzM8PJz8/Hx1YbhNUVdXV3Pw4EH8/f3p1q2b+h0bjUYSEhJctlldXc2BAwfw\n9vYmNjYWnU5HRUUFRUVFeHt7N/rMTJo0yQv4XgjRW0ppn+n1YeA7YDJwCfAv4CiwSEp5WAjxC0pC\nz3V25ySjxE9cCWBVkj8BKdZ2dCh5074SQvSXjjbY91BGT4tRUsQALAMGAw+gZJx+ECUPmvpQCiGC\ngR+BIuBelDxn/wD+J4RIsI3wpJRSCLEDGAa85vImWtGU2Vkkyg+ujYdvrNOVXx+CnuepudEZb29v\nQkND1eSLjfHLL78wY8YMdSEs4LA4d8GCBQQEBPDDDz+of1zDhw9Xjy9dupRjx46RkZGhJiscMGAA\nXbt25a233mL27Nlq3cjISD75pD51kpSSRx55hClTpvD666+r+728vJgxYwazZ88mJCSE77//nquv\nvrrZ6z18+DBxcXFN1omJieHEiRONmp4KCgowm81Njpicyc/Pp6ZGeeY9PT0JCwtTM2rb5rJSU1Md\nRg0nT56kurqa9PR0lzEii4qKqK2tbZCduznKy8spLi4mLS2txeeUlZVRWqrEfHVzcyMsLIxDhxzn\n56WU7Nq1S1V8Xl5ehIWFNdmPyWRS5/Jsv526ujpycnIICQlRs11LKSktLWXXrl1qLre8vDxqa2vx\nC42Gk8rv18MNKp38TYxGo9pHYWGhg7z2NPXiYrtnzlFGCgoKqK2txcfHh9xcJQSh2Wzm0KFDVFVV\nufzuCgoKMBqNREdHOzx73t7exMTE8N577zV4ZlDyil0M3IOisGwckVJOs37+WggxCJgI2JL5rQTm\nCSG8pJS2ic6bgVQp5e/W8jwUJTRKSllrvR97gQPAaBwV4Wop5RN29y0JJaP0TVLK1dZ93wLHgQq7\n8x4E9MBlNmUshPgJOIKS18xecf0GOJp/XGF7W/yjt759+8qOiMks5Us/Sznrf8q25BcpzZa2lkph\n3rx5MiQkxOXx8PBwee+997o8fvvtt8vOnTvL1157Taanpzc4HhYWJh966CGX50+fPl1eccUVDfYP\nHTpUjh49Wi0Dcs6cOQ51Dhw4IAG5fv16WVdXp26HDx+WgNyyZYuUUspTp07JnTt3NrsZjUaXcppM\nJoc+LJaGX+CNN94ok5OTXbbRGBkZGXLHjh1y+fLlMjExUV5++eWyurpaPX7bbbfJ8PBw+d1338mi\noiK5ZMkSqdPpJCC3b9/ust1x48bJkSNHOuwzm80O12A2mxuc98orr0jlL6Dl5Obmyp07d8ovv/xS\njhw5UoaEhMjU1FT1+HfffScNBoN89NFH5ebNm+XKlSvlRRddJIcOHSpNJpPLdm3f41dffaXue//9\n9yUgKysrHerOnz9f+vr6quXk5GR50eWD1Gdu7hYpy2oa9rFjxw4JyK+//tph/4wZMyRKvs4GMjjj\n6p7Fx8fLRx55xGGfyWSSOp1OLlq0yGV7p/PMoIyaNqPk+LIpYwk8Lu3+Y4FngBN25WiUTM/jrWUd\nUAA8YVcnF/i39Zj9lgXMs9YZau1vmFN/06z7vZ32r0RRtLbydus+5z6+A5Y6nXs/UId1TXRTmzZn\ndpaxeTe6W1/ujp1SzI3nOzU1NRQVFTXIXGzPq6++yg033MDChQtJTEykR48erFy5Uj1eVFTUpAkn\nNze30fbDw8PVN2/7ffbY3qRHjx6Nh4eHusXHxwOob8oGg4HLLrus2a0pN3GbWce22aLMnyk9evRg\nwIABTJ48ma+//ppff/2Vjz6qj/m4ePFievbsyTXXXENISAjPPfecGiWjqWUTNTU1Dd78Fy5c6HAN\nCxcuPCvXEBERQb9+/Rg3bhxfffUVISEh/Pvf/1aPP/zww1x//fU8++yzDB06lJtvvpnPP/+cLVu2\n8MUXX7Sqr9zcXAwGA76+jllww8PDqaqqUr0oq01g9q3/vdyQCP6NDIRs7vQnTpxw2P/oo4+yc+dO\nvvyyRcHZXcrq/Jt1d3d3GFU2xuk+M0A+SnoUe5zTpNQCqtutVDwEf0QZjQFcC4RiNTFaCQUeQ1Eg\n9ltXwDmCs7MZJwIol1LWOO13Nm2EWmVw7uPqRvowUq/smqTZCkKIzsAHKHZVCbwtpXzZqY5ASZE9\nGsX+OU1Kubu5tjsqkQYlmefXdubGhGDFDHm+snnzZkwmE1deeaXLOoGBgSxZsoQlS5awd+9eFi1a\nxO23384ll1xCz549CQkJUU0sjREZGanG/rMnPz+/gUu5s6nHdvztt9+mT58+DdqwKbWzYWZ86623\nHLz8WrKWrLXExsYSHBzsYKLr1KkT3333HSdOnKCsrIzExEQWL15MREREkybR4ODgBsF57777bsaO\nHauWz8W6KJ1OR+/evR2u4cCBA9x6660O9RITE/Hx8XFIqNkSIiMjqaiooKqqykGh5efn4+vri5eX\nF5V1SqACDz/l95LUCS5z8T7WuXNn4uLi+Oabb7jzzjvV/V26dKFLly4cOXKkVfI5y3ry5EmHfWaz\nmaKioiaXS5zuM4Pyf+xaS7rmE+DfQggfFIXyq5TyoN3xYuAz4N1Gzi10Kju7uOUBfkIIbyeF1smp\nXjHwJcpcnDPO7rWBQIWUslkvr5aMzEzAw1LKnsBAYIYQoqdTnVFAD+t2N/BGC9rt0Fwd6+jduGwv\nVNY2fU5bUVpaymOPPUb37t0ZNmxYi8655JJLeO6557BYLOpczbXXXsuqVavUeSFnBgwYwK5duzh8\n+LC6Lzs7m23btjUbjy8xMZHo6GiOHDlCv379GmwhISEA9O3bl507dza7NfXnnpiY6ND2mbiKuyI9\nPZ2ioiJVCdsTExNDr169MJlM/Oc//3H443Ulr/09BUV52V/DuVBmNTU17N692+EaYmNj2b3b8T02\nLS2N6urqZuconbniiisQQrBmzRp1n5SSNWvWMHjwYMwW+HBf/eJoXw+YmNh07MWZM2eyZs0atmzZ\n0ipZbNhG9M6/8QEDBvDZZ585OB/Zgh839ds+nWcG8ACuQhlltZbVgA8wwbqtdDr+LdAL2CWlTHHa\njjTTti0+4fW2HValOdypnq2P1Eb6SHeqG4cyR9gszY7MpJJQLdf6uVwIkYZie91vV2088IHVnrtD\nCBEohIiUp5GMraPg7ga39oJXdoLRrITWWb4P7urj6GH1R2MymdixYwegTGbv2rWLN954g6qqKjZu\n3NikG/XgwYOZMGECSUlJCCF455130Ov19O/fH1ASM15xxRUMGTKEhx9+mJCQEH799VdCQkK48847\nmTZtGs8++yyjRo1i4cKFuLu7s2DBAkJDQ7nnnnualNvNzY0XXniBO+64g1OnTjFq1Cg8PT05dOgQ\nn3/+OWvWrMHX1xc/P78WRbQ4Haqqqli/fj2gKOFTp06pf7SjR49WRw/du3cnOTmZ9957D4BZs2ah\n0+kYMGAAgYGBpKWlsWjRIrp168Ytt9R7HS9fvpy6ujq6du3KsWPHeOmll3B3d3dwjGmMQYMGsXDh\nQgoKCujUyfkluCEbNmygsrJSTXBpu4YrrrhCzTn2f//3f3z//ffqsomPP/6YDRs2MHLkSKKiosjN\nzeX1118nNzeXhx56SG373nvv5cEHHyQqKopRo0aRn5/PwoULiYuLY/To0c3fZDsuvvhibr31Vu6/\n/37Ky8vp1q0b77zzDgcOHOCNN97gq4OQWVJf/88Xg18zeVT/9re/sXXrVkaNGsU999zD8OHD8fPz\n4+TJk+p9aGoxuc2L8eWXX+aaa67B39+fxMREHn/8cfr06cMNN9zAfffdx4kTJ3jssccYMWJEk9aO\n03lmUAYNhcBbLbuT9UgpTwohtgDPo4x6VjlVmQ/8AqwTQvzH2k80ikJaJqXc0kTbvwshvgLeEEL4\noYzUHkKx1tl7Sr2I4in5nRDiFSAbZaSZDPwopfzYrm4/FO/KFl1cizcULXkM8HfavxYYbFf+FujX\nyPl3o2jvlC5duric9OxIpJ6U8pH/1TuEfJrWdrLMmzdPneQWQsiAgADZt29f+c9//lPm5uY2e/6s\nWbNkUlKSNBgMMiAgQA4dOlRu3brVoc5vv/0mR40aJQ0GgzQYDLJ///7yf//7n3o8KytLjh8/XhoM\nBqnX6+WYMWNkRkaGQxuAfOWVVxqVYf369XLw4MHS19dX+vn5yUsvvVTOmTNH1tXVncYdaR02J4XG\ntsOHD6v1YmNj5dSpU9Xyxx9/LK+66ioZFBQkfXx8ZGJionzooYdkQUGBQ/vLli2TCQkJ0svLS4aF\nhcm7775bFhYWNiuX0WiUwcHB8oMPPmjRdcTGxjZ6DUuXLlXrTJ06VcbGxqrl3bt3y9GjR8vw8HDp\n6ekpY2Nj5U033SR///13h7YtFot8/fXXZe/evaWvr6+MioqSN910k8zKympSpsYcQKSUsrKyUt5/\n//0yLCxMenp6yr59+8qNGzfKn7Prn6mYS5Ll4JE3tujapVScY9577z05aNAg6efnJz08PGRsbKyc\nPHmy3LZtW5PnWiwW+cgjj8jIyEgphHBwAvrf//4n+/fvL728vGSnTp3kfffdJ8vLy5uVp7XPDMrc\nWA/p+N8qgfud9s0HCmXD/+G/WOtvdz5mPX4RsAbFHFgNZKIozhjp6ACS1Mi5wSimzEqUObW5wDvA\nHqd6UShu/fko82JHgA+BXnZ1OqFYBpMbk9N5a3HUfCGEAfgeeFpK+V+nY2uBf0spf7SWvwUek1K6\nDIvfEaLmt5RvjyhBiG3ceBEMjG4zcTQ6IA888ACZmZmsW7eu+crtnMOl8NZuZT0nQO9OMLn3+RkP\n9VzQnqLmCyF0wO/Az1LKqa089x5gFpAgW6CoWrTOTAjhAXwKrHBWZFaycfRCibHu0wCuiYXccvjN\nOnmcbkAAACAASURBVD/8WTqE+ULXlgVs0NBolkceeYSEhAQyMjKaXKTb3imtgQ/21iuySINjbFSN\ntkUI8WeUUdc+wB9ljVgPYEor2xEoC6+fbokigxY4gFgbfQ9Ik1K+6KLal8AUoTAQKJMX8HyZM0LA\nTT3rHUIsEj7YByVnO5KZxgVLTEwM//nPf5r0jGvv1JoVRypbEGG9B0y7BLy00A/nE5XAdBSd8DGK\nqXCclPKXVrYTAawAlrf0hGbNjEKIwcAPKJrWNon3T6ALgJTyTavCexUYiTLZN70pEyNcWGZGGyU1\nsOSX+ocxygAz+oHn+RXXV0PjvENK+CgV9lhXNrkJuLsPdLsArRvtycz4R9ISb8YfgSYH8dZh4Iyz\nJVRHJcgbplxSb+/PqYBP9sPkJC2Vu4ZGU2w+Wq/IAMYnXJiKTMM1WgSQP5j4QJhgtwZ370n47kib\niaOhcd6zv9DRgWpgNFwV03byaJyfaMqsDRjg9DBuPKRkq9bQ0HAkvxI++r0+1ER8oDIq09BwRlNm\nbcT1PRzNJB+nQl6F6/oaGhcaVXWw7Dcl6ABYzfS9Qaf9a2k0gvazaCPc3eCOJOUBBeWBXbZXeYA1\nNC50zBZY8TsUWj1+PdwUz0WD6/jQGhc4mjJrQ/SeMP3Sem/Gomr48HflQdbQuJBZnwUZdmF0b+l5\nfgfq1mh7NGXWxkQalAfVxsFiWJvZdvJoaLQ1KbmOaZOGxcElrjMTaWgAmjI7L+gdBsPtgqf/eBx2\n5rSdPBoabcWxMvjULmF2r04wvKvr+hoaNjRldp4wLF6JMWfj0wNwpKzt5NHQ+KMpM8L7e+tTuoTr\nFauFFqpKoyVoyuw8wU0oMeYirdknzFJ5sEsbT3OkodGhqDMrv/dT1px/vjplPtlbC1Wl0UI0ZXYe\n4aVTPLZ8PZRyRa3ygNeZmz5PQ6M9IyWsOQDHTyllNwF39IYQn7aVS6N9oSmz84xgH2Utjc20cqIc\nVqcpD7yGRkdk6zHYnVdfHtcDuge3nTwa7RNNmZ2HdAtyjHLwaz5sOdp28mhonCsOFME6O+/d/lEw\nSAtVpXEaaMrsPOXKaBgQVV/ekAVphW0nj4bG2eZkpbIw2mZ0iA1Q4pZqQbc1TgdNmZ2nCAE3JCqx\n6EB54D/6XYlVp6HR3qk2KRFvakxKOcALpmqhqjTOAO2ncx6jc1PmzwKtIa9qzEqsOi3klUZ7xiKV\nF7OCKqWss4aq8vNqW7k02jeaMjvPMXgqD7qH9ZsqrFZMMxbNIUSjnbIhS5krs3HTxRDj33byaHQM\nNGXWDoj2U9ag2cgodpw019BoL+zOc3RmujoW+kS0nTwaHQdNmbUTLg2Ha+Pqy1uPKTHsNDTaC8dP\nKctMbFwcAiO7tZ08Gh0LTZm1I67rCj1D68tr0mBvvuv6GhrnCydOwXt76kNVhfnCrUlaqCqNs4em\nzNoRbgJu7aXErAMl5NWHv2sjNI3zmyNl/H975x3eVnn98c/rve0sZ9jZkyRkk0EYgTCSQBklLWlL\nCxQI0FL4USgQaCFAWYWySlllFii7QGhJwl4lAZJAQnacYccj3ntben9/vNeWZMuxZEuWZJ/P8+ix\ndO7V1fG1fL/3Pe95z+GJ76DaSlyKjYALppqfguArRMxCjJgIuGSaubMFk7L/6nb4KjugbgmCWzJK\n4B/fOVLwYyPg4mkwIC6wfgk9DxGzECQ5Bi6f6ShKDPDWLqkSIgQXO4rg6c3QYNUWjY+Ey2bAsOTA\n+iX0TETMQpSEKOvC4JTS/N8MWLtP6jgKgWdzvlkU3TxHlhwNv5kp3aIF/yFiFsLERcIl02FUisP2\n4X7TqVoETQgUG/Jc10L2jTFClhofWL+Eno2IWYgTEwEXTYPx/Ry2z7Pg37tkYbXQ/XyVbeZwm796\nqXFGyPpKOxfBz4iY9QCiwk2VkMlOnarX55iLis0eOL+E3sUnmWbutpkhCWZuNzkmcD4JvQcRsx5C\nRBicNxlmOFVT2HTIpO43iaAJfkRrWLsX3nOqSjMsCS6dYeZ2BaE76FDMlFLPKKUKlFJb29m+QClV\nrpT63nrc7Hs3BU8IDzNlr+amOWxbC81EfIN0qxb8gNbw7h748IDDNjrFzOU2d0wXhO7Ak5HZc8Ci\nDvb5Qms9zXrc1nW3hM4SpuDH4+G4YQ7brmJTfaF5rY8g+AK7hjd3whcHHbYJ/cwcbowsiBa6mQ7F\nTGv9OVDSDb4IPkIpOH0MnDzSYdtXBk9+J+1jBN9gs8Mr2+HrXIftyAFw/hSIDA+cX0LvxVdzZvOU\nUpuVUquVUpPa20kptVwptUEptaGwsNBHHy24QylTy/G0MQ7bwQp4fBNU1gfOLyH0abLDC1vhu0MO\n24xB8IvJ0lxTCBy++OptAoZrracCfwPebm9HrfWTWutZWutZAwYMaG83wYcsGG5a0TeTVwWPbYKy\nusD5JIQuDTZ4djNsc7oXnZtm5mrDRciEANLlr5/WukJrXWU9fw+IVEr17+BtQjdydLq52DQXKC+s\ngUc3QnFtQN0SQoy6JjP3uttp0uH4YWaOVqrfC4Gmy2KmlBqklFLW89nWMYsP/y6hu5k1GM47EsKt\ni05pnRG0/OrA+iWEBjWNZs51X5nDdvJIE8ZWImRCEOBJav7LwDpgvFIqWyl1kVLqMqXUZdYuS4Gt\nSqnNwMPAMq2lmFIwMiXVTNA3z2tU1MNjGyGnMrB+CcFNZb0JTR+scNhOH2PmZEXIhGBBBUp3Zs2a\npTds2BCQz+7tZJTAs05rz2KtkljDpZq50IqyOjMiK6wxrxVmDnZeekDd6tUopTZqrWcF2o9gQ6Zs\neyFj+sLy6Y61QLVN5oK1tzSwfgnBRZE1t+osZOdOFCETghMRs17K8GTTQibeqtLQYIOnvjc9qAQh\nv9qEFkutrNdwZeZcZw4OrF+C0B4iZr2YtERTCDYp2rxussPzW+DbXGkh05vZV2rmUius9YgRYaaQ\n9ZTUwPolCIdDxKyXMzDetOjoY1U2t2l4bQf88weoagisb0L30mgzdRYf3wTVVqWY6HC4eBpMkMU2\nQpAjYibQL9ZqnhjnsG0thPvWww8FgfNL6D4OVsCD35heeM2D8tgIUzB4dJ+AuiYIHiFiJgCQEgNX\nHuVacb+60YzQXt4mNR17Kk12WLsPHtkABTUO+7i+8Ps5kuEqhA5S21poIToCzplgmny+vgPKrTmT\nTYcgoxR+coSpii70DA5VmWLBzusMo8LNGrK5abKGTAgtRMyENozvB9fMgbd3GyEDkwzw9PfmInfa\nGGnxEcrYNXyWZRpq2pwSfUammNT7frGB800QOotckgS3xEbCzyaZUdqbOx0JAetzYHexueiNkrmU\nkKOwBl7dDpnlDltEGCwaDccOlRqLQugSkmKmtUZJDKRbODLV3LG/udMkhQCU1JmMt2OGwuLR0r8q\nFLBrWJcN/82ARrvDnp4IyyaZrFZBCGVCLgFke81mrjlwPsWN0g+tu0iIgl8dCT+fZDLcwGS8fXEQ\nHvgGssoP+3YhwJTWwj++M2HjZiELs/rdXTFLhKw7sekmHsq9jS3VUsrP14SUmGXW7+XWg1exq24r\n12ZeQE59ZqBd6jUoBdMHmbm08U5JIIU18PeNsGavyYwTggetzQL4v35tEniaGRRvMldPHik9yLoT\nm7Zxf+4tvF/+NisPXsnm6m8C7VKPIqS+ygfr91NrN/nDBY15XJt5IXtqtwfYq95FcgxcNBWWTjAL\nasGEsD46AA9/C7lSgT8oqKg3xaRf2wH1VkFpBZwwHK6abaq/CN2HTdt4MG8ln1asBqBe1/FN1RcB\n9qpnEVJidkzSSdw89AGilSlXUWErY0XWcr6r/jrAnvUulII5aWYd0qgUhz2vygjaxwfAJqO0gPF9\nPvx1vWudzf6x8JtZsGSMowWQ0D3YtZ2H827j4/L/ttiWpCzlotSrA+hVzyPkvtazEuZz5/DHSQw3\nqzlr7TWszPodX1S8H2DPeh99Y+HSGXDGWMcF0qZh9V5Tbb1AGn92K9UN8OIP8NJWqGly2Oenw9Vz\nYIQsgO52jJDdzofl77bYTk05m8sH3UCYCrnLb1ATkmdzQuwU/jL8afpHDASgiSbuyVnBf0peC7Bn\nvY8wBccOg6tnw9Akhz3LKo/05UEThhT8y/ZCuO9r2OxUfiwlBi6dDmeNN4uhhe7Fru08cugOPih/\np8V2SvJZXDHoJhEyPxDSzTkLGw/xx6zfkN1woMX28/7L+Xn/SyV1PwDY7PBpFnywz3Ux7ugU+OlE\nM5ITfEttE7y7G77Nc7XPHgI/GiuL2wOFXdt59NBdrC57s8V2UvKPuGrwLV0WMmnO6Z6QFjOAiqYy\nVh68kl11W1tsS1J+wmWDriNcye1oIMitNGWS8qoctqhwOGqwqSAyKCFwvvUUyuvhmxyziL3CqbtB\nYhQsPQImSpX7gKG15tFDd/Ne2esttoXJp3PV4Ft8ck0SMXNPyIsZQJ29ljuyr2VT9boW2/zEk/jD\nkD8TGRblk88QvKPJDh/uN8kgrb9ho1KMqB2ZKskI3mDXkFEC63Jge1Hb8O20gSak2NxwVeh+tNY8\nnv8X/lP6aovthKQlXD3kVp/dXIuYuadHiBlAo27kwVxH6ivA1Lij+GP6/cSFy6rQQJFVbooWH3KT\nDBIfacJhc9MkBHk4qhthQ64ZhRXVtt2eEAVnjYOpA7vfN8GB1pon8+9jVenLLbYFSYv5/ZDbfBol\nEjFzT48RMzBx6qfy/8o7Tl+m0TETuG3oI6RE9PXpZwmeY9ewt9SUU9rmZkShgHH9YF6aqcovC3nN\ngufMcjMK21LgfkH6qBRzzibLCDfgaK15quB+3i55qcV2XNKpXDvkdsKVbycuRczc06PEDMyX6vXi\nZ3m+8JEW25DIodw+7FEGRaUd5p1Cd1BeD9/kwtc5jhYzziRHmzVss4eY572NuibTqWB9juucYzMx\nETBrkBnNDpS5x6BAa83TBQ/yVskLLbZjEk/murQ7fC5kIGLWHj1OzJpZW/oWjxy6AzvmlrZvRH9u\nG/oII2PG+e0zBc+x2WFnsblo7ypuO68WpmBSf5ibDmP69Pxq7rmVZhT23SFHxQ5n0hNhXrqZF5M0\n++BBa82zhQ/zZvHzLbb5iQu5Lu1OIpR/Ji9FzNzTY8UMYF3lJ9yTs4JGbdK94sMSuHnog0yOm+HX\nzxW8o7jWjNS+yXW0mnGmf6wZicwa0rOSGxptZl3YumyzLq81kWGmHubcNNc1fEJwoLXm+cJHeL34\n2RbbvMQTuCHtbr8JGYiYtUePFjOAH6o3clv21dTYTcwmSkVzfdrdzE083u+fLXhHkx22FpgRyr6y\nttsjwmBKqhmhDE8K3U7IhTVmRLoh17VSRzMD481c2IxBpq+cEHxorXmh8FFeLX66xTY3YQE3pN9D\npB+FDETM2qPHixnA3rpd3Jx1BWW2YgDCCOfKwX/k5JQzu+XzBe/JrzKitvGQmUdqzeAEc8GfMjA0\nRmsNNhNWXZftWsG+mXBllirMSzP940JVqHsLLxY+xstF/2h5PTvhOG5Mv9fvQgYiZu3RK8QMIK/h\nIH/K+i15jdkttgtTr+ScvudLtZAgpsFmCueuy4bsdiryx0ZAv1inR5z52TfWJJF0x3yb1lDVAMV1\nUFxjQqfNj5JaqGxw/76+MSaMeNQQk2IvBD//KnyCl4qeaHl9VMIx3JR2X7etaRUxc0+HYqaUegY4\nHSjQWk92s10BDwFLgBrgAq31po4+uLvFDKCkqYhbsn7HvvpdLbaz+/6SX6deJbXSQoCDFSY8990h\n127JhyNcGVHr5+bRN9a7Ltk2O5TWuYqU83N3iRvuUMAR/U24dFzfnp/c0pN4pegpXih8tOX1rPj5\n3JR+H1Fh3Zd6K2LmHk/E7DigCvhnO2K2BPgdRszmAA9pred09MGdFrOqUtiyFuYshXDv016rbZXc\nnn0NP9Q4PvvE5NO4avDNfp20FXxHbaMJP27Mg/xqz4XNHcnRbcUuJcYaZdW6PsrqOl80OVyZY09J\nNUsPUmI677MQGF4resZlyc+M+Hn8Kf1+74Vs8xoYOAYGjemUHyJm7vEozKiUGgH8px0xewL4VGv9\nsvV6F7BAa53Xel9nOiVmDTXw79uhKBOGT4VTr4Io768KDfZ6/pJ7I+sqP3H4E38MK9LvISZMSlGE\nElqbEF6L6NS4hvrcZUf6i5hwR4izeeTnLJAyAgtdXi96jucKH255PT1+Ln9Kv5/oMC+uP9oOX74E\nm1dDTCIsXQkpg732RcTMPb4Qs/8Ad2utv7RefwRcr7Vuo1RKqeXAcoBhw4bNzMzM9M7b79+DL190\nvB4wEn50HcR536jJpm38/dCdrC17q8U2IXYKK4c+1NIrTQh96prahgSbRa+s3vuRVlK0+5Blv1iI\ni5TEjZ7Im8X/5JmCB1teT42bzc1DH/DuxrepAT58DDKcGgmPmw+n/NZrf0TM3NOtDSK01k8CT4IZ\nmXl9gKmLoa4KNrxtXhfuhzduhh9dD32GeHWocBXO7wb9kT7h/Xil+CkAdtZu4cbMy7hj2GMkRaR0\ncAQhFIiJgLRE82hN6zmw5kd5nUnG6OocmxD6vFX8oouQTYmb5b2Q1VXBe/dD7k6HbdRRcOIlPvRU\n8IWY5QBDnV6nWzbfoxTM/Skk9IPPnjExpopCeHMlnHYtDPauuodSil+m/obkiL48mX8vGs2++l3c\nmGUELTmij19+DSE4CA+D/nHmIQiteafkXzxVcH/L6yPjZnLL0Ie8E7KKQnj3L1DqdEmccioc80sI\nk6QzX+KLs7kK+JUyzAXKO5ov6zKTF8KSayDCmnitq4K374C933bqcGf0XcZVg29GYWJE++t3c2PW\npZQ3uVkQJAhCj0ZrzUuFj/Nk/n0ttkmx070XssID8MYtrkJ29M/h2F+JkPmBDs+oUuplYB0wXimV\nrZS6SCl1mVLqMmuX94B9QAbwD+A3fvPWmZEz4OybINaq82NrhNUPwpb3O3W4k1PO5P8Gr2wRtAP1\nGazIWk5pU7GvPBYEIchptDfw19w/8a+iJ1tsE2OnceuwvxEb5sUQPusHk6xWY5WyCYuAU66AGafL\nxKqfCP1F0+X5sOpu87OZGT+CeedCJ9aOfVz+Xx7IvaWlQPHQqJHcOfwJ+kZI615B6MlUNJXx5+xr\n2Fb7XYttRvxcVqTd611PxJ1fwMdPgt1aeBgVB0t+D+kTfeKnJIC4J/THuskDYemtZt1GM5vehQ8e\nNaM1Lzkx+TSuGXI7YdapOdiwnxWZyylpLPSVx4IgBBm5DVlck3mBi5AtSvkxtwx9yHMh09okp334\nmEPIEvrCObf4TMiE9gl9MQMTajzrJhjhVA1/91ew6h6od9PiuAMWJC/mD2l3EIZJXctuOMANWcsp\naizwlceCIAQJ22u+55oDF5DbkNVi+3XqVVwx6CbPCynYbSYpbf1rDlu/oeZGu9/Q9t8n+IyeIWYA\nkdGw5GqTHNJMznZ48zao8n7e67ikU7ku7c4WQctpyGRF5iUUNeZ38E5BEEKFT8vXsCLrUipsZm4r\nSkWzIu0vnNPPi5qtjXXw3gOw9SOHLX0S/PgWk3ktdAs9R8wAwsLh+F/DvGUOW8lBk1FUfNDrwx2b\ndDI3pN1NuLWCIbfxIDdkXkJh4yFfeSwIQgDQWvNK0VPcm3sjTdpMR6SE9+Wu4U9yTNJJnh+otsJk\nUh9wKkc7br5Z+xotaz66k54lZmAyhWaeASddbsQNoKoE3rwVsrd5fbj5SQtZkX4PEZag5TVmc33m\nJRQ05vrSa0EQuolG3ciDeStdCgYPjRrJX0c8z4TYIz0/UNkhc6Ocv9dhm3EGnHx5p+rGCl2j54lZ\nMxOONaWuIq11IQ01Jutx91deH2pe4gncmH5vi6DlN+ZwQ+Zy8htE0AQhlKi0VXBz1m/5sPzdFtvU\nuKO4b8RzDIpK8/xA+RmmWENLFrWC4y6Ao5d1Kota6Do9+6wPPRLOuRnirUoedhu8/4jJdvRyScKc\nxOO5Kf2vLRPC+Y25XJ95MXkN2R28UxCEYCCvIZtrD1zAFqeOGScnn8mtwx4hIdxNvbP22L8R3vqz\nCTEChEfCkv+DKaf42GPBG3q2mAH0H24yivo63XV99TJ8/jzYvesdMjvxWP6Ufj+RyjThK2w6xIrM\n5eQ1eD8fJwhC97GzdgvXHDif7IYDLbbzB1zBVYNv9q479NaPTJ3FJqvbakyCyaQedZRvHRa8pueL\nGUBif5NZNGSCw/bD+7DmIceX0kNmJcw3PYyUKaVV2HSI6zMvIccprVcQhODhi4oPWJF5KeU2U54u\nUkVxfdpd/LT/rz3PWNTapN1/+rQjqpM0AM651euasIJ/6B1iBuYO6swVMGauw7bvW3j7Tqit9OpQ\nMxOO5uahD7YIWnFTASsyLyG7/oAPHRYEoStorXm96DnuzrmeBl0PQFJ4CncOe4Ljkk71/EC2Jvjw\ncUe3DoDUUbD0NujjfT8ywT/0HjEDE9s+9QqYtsRhO7TbTORWeLcgenr8HFYOfYhoZZrzFTcVckPm\ncg7W7/ehw4IgdIYm3cjfDv3ZpaFmetQI7h/xPBPjpnp+oIYa+M+9sOsLh234NDjrj53qoyj4j94l\nZmAyjY45z7RgsIoKU5ZnUmwL9nl1qKnxs1k59OEWQSu1FXFD5nKy6r07jiAIvqPaVsktB690abx7\nZNxM7hvxLIOjvKjGUVVqigUf/MFhm3gCnHZNpzrcC/6l94lZM9MWw6IrzWgNoKYc3rod9n7j1WGm\nxM/itmF/I0aZJQBltmJWZC7nQF2Grz0WBKED8htyufbAhXxf7ejovDD5dG4f9qh3HeQL9sGbt0BR\npsM2eymccLFj/aoQVPReMQMYM8fMo0VbhUQb600bmc+f96pI8eS4mdw27JGWFhFlthJWZC3nQN0e\nf3gtCIIbdtVu5fcHzierwREZOa//5Vw9+FbPMxa1hi1r4Y2VUFlkbCoMTlwOs38s7VuCmN4tZmAy\nHM9ZaTKTmmn+Mpd7XodxUtx0bhv6d2LDjDBW2MpYkXUp++p2+9ZfQRDa8L+Kj1iRuZwym6nDGqEi\nuXbIn/nZgEs8z1isr3bczNqbjC0yFk7/A0xc4B/HBZ8hYgZmDdq5d7quFSncD6/eCBlft/++VkyM\nm8qfh/2duLAEwAjajVmXsrdup689FgQBsOkmXit6hrtyrqNe1wGQGJ7MHcMe44TkJR2824n8veb/\nfZ9Tt/oBI+DcO2C4FwkjQsAI/eacvqQ5xPC/lxz9iACOPBnm/wIiojw6zK7arfwp6zdU26sASAhL\n4rq0O5mZcLQ/vBaEXsm2mu947NDd7K93hPOHRA5l5bC/kRY1zLODaA1b1sD//tXqf/4UOOYXjjn1\nIEKac7pHxMwd+Xth7cNQ4dSQc8AIOPVKSBnk0SH21G7npqzLqbabNWwKxc/6X8Ky/pcQrmQCWRA6\nS2lTMc8WPMRH5f9xsU+KncZN6X8lOaKPZweqqzIdofc5XYeiYs382Jg5PvTYt4iYuUfErD3qq+Gj\nJ13DDpGxcOIlMHZu++9zIqN2B7dmX0VJU1GLbVr8HK4bcqfn/3CCIAAmpPjf0td5ofAxaqyoB0C0\nimFZ/4s5u98vPU/0yM+ANX+DSucb1pEmwzl5oI899y0iZu4RMTscWpuyV1++5JgQBph8klmr5kHY\nsbSpmHtzbmRzjUMU+0WkckPaPd4t3hSEXoy7kCLA/MSFXDzw96RGeliJQ2vYvAa+ahVWnHIqzP95\nUIYVWyNi5h4RM08o2AdrHnatEtJ/uLmLS+n4n8imbfyr8AleKX6qxRZOBBemXslZfX/hebaVIPQy\n2gsppkUN57KB1zEjYZ7nB6urgo+eMFXvm4mKg4XLYfRsH3nsf0TM3CNi5in1NfDJP1yzGyNj4cSL\nYaxn/1Abqv7Hfbl/pNJW3mI7OvFE/m/wLcR704JCEHo4JqT4Bi8UPuo+pNj3PCLDPEvIAuBQhpkH\nr3SE/EkdZW5Ik1J96Ln/ETFzj4iZN2gNWz+EL15oFXZcaMpjeRB2LGjM467s69ldt7XFNiRyKCvS\n72VUjFTfFgSfhRTB/M9+/x6se8U1rDh1MRz9s5DsCC1i5h4Rs85QsN/c5Tkvqu4/3GQ7elBFu1E3\n8nT+A7xb+kqLLUpFc/mg6zkl5Sx/eCwIQY8JKT7MR05doKGTIUVwH1aMjoOFl4Z0/zERM/eImHWW\nhhr4+CnIWO+wRcaY2m3jPFtP9nnFWh7Ou51ae02L7eTkM7hs0PXEhMX62mNBCEqaQ4ovFj7asjYT\nuhBSBDi0B9b+zTWsOHC0ueF0rvYTgoiYuUfErCtoDds+MmFH51qOk06EY3/lUdjxYP1+7sq5jsz6\nvS22kdFjWZF+r+cLPwUhRNle8z2PHrqb/fWuZd86FVIE0Hb47j1Y/2qPCSu2RsTMPSJmvqDwgOla\n7Rx27DfMTC73GdLh2+vstfz90J18XP7fFltsWDxXD17J/KSFfnBYEAKLz0OKYJrsfvQ4HPjOYYuO\ng4WXwaiec+0XMXOPR2KmlFoEPASEA09pre9utf0C4F4gxzI9orV+isPQo8QMTNjxk6dgj3PYMRoW\nXATjj+nw7Vpr1pa9xeP5f6FRN7TYz+z7cy5MvcrzxaCCEMT4JaQIkLfbhBWrih22gWPg1N+FfFix\nNSJm7ulQzJRS4cBu4GQgG/gW+JnWervTPhcAs7TWV3j6wT1OzMAKO34MX/zTNew4cQHMP8/cJXZA\nRu0O7sy5jvzGnBbbhNgp3JB2NwMiPSulJQjByNaajTx+6F7fhRQBbE3w3X/h69dNiLGZaafBvHN7\nRFixNSJm7vFEzOYBK7XWp1qvVwBore9y2ucCRMwcFGWaRdZleQ5bXIqpGjJ2Xoc9kSptFTyQewtf\nV33WYksKT+EPQ+7oXPhFEAJIVv0+ni14mG+qPnexdymkCJC3Cz55BkoOOmzR8XDSZTByZhc80lbJ\nMwAAFhFJREFUDm5EzNzjiZgtBRZprS+2Xv8SmOMsXJaY3QUUYkZxV2utD7o5XAs9WswAGmrhk6dh\nz1eu9vRJcPyFHc6laa35d8k/ea7gEeyYiWwpViyEEsWNhbxU9DgflL2DHceoqcshxdoK+Opl2PGZ\nq33gGDNPndi/i54HNyJm7vGVmPUDqrTW9UqpS4FztdYnujnWcmA5wLBhw2ZmZma23qVnobWpGPLF\nP6GmzGEPi4AZp8OsszrMeNxas4l7cm5wKVY8PX4ufxhyhxQrFoKSGlsVbxQ/z9slL7X0GANzM3Zi\n8mmcN+DyzoUUtR22f2aErN4x30ZEtOkCPXVxjwwrtkbEzD0+CTO22j8cKNFaJx/uuD1+ZOZMQw18\n/YbpleZ8vpNS4fgLYPi0w769tKmYv+SsYEuN43z1i0jl/wbfwvT4uVLbUQgKGnUjq0vf5OWiJ6mw\nlblsmxE/jwtTr+p8lZuiTPj0GbN+zJlRs8wymB4+GnNGxMw9nohZBCZ0uBCTrfgt8HOt9TanfQZr\nrfOs52cD12utD9snpVeJWTOFB8w/ZH6Gq330bDj2l5DQr9232rSNlwof59Xip13s6VEjWJTyY05M\nPk1GakJA0FrzZeUHPF/wCHmN2S7bRkdP4MKBVzE9vpP9wRpqnW4EnRI8EgfAcefDyBld8Dw0ETFz\nj6ep+UuABzGp+c9ore9QSt0GbNBar1JK3QWcATQBJcDlWuudhztmrxQzMP+Q2z4xteLqqx32yGiY\nvdS0ojhMqOTbqi+5L+ePVNkrXOwRKpJjEk9iUcqPmRw3Q0ZrQrfwQ/VGnil4yKXWKEBq5GB+NeC3\nHJ+0iDAV5v2BtYa935iCBNUlDntYOEy3QvSR0V30PjQRMXOPLJoOFDXlJva/0zXDi35DYcGvYfD4\ndt9a2HiI14qe4ZOK1dTaq9tsl9Ga4G8y6/fyXMHDfFP1hYs9ISyJZf0v5vQ+P+1ccgeY4gOfPQdZ\nm13taRNN8lTftM4dt4cgYuYeEbNAk7MDPnsGSnJc7UcsgKOXQWxSu2+ttdfwecX7rCl9k91129ps\nl9Ga4GuKGgt4qfBxPixf5ZKhGKmiOKPvz/hJvwtJDG//O3tYbI2w8V3Y+I7rOs3YJLOsZdz8Dpe1\n9AZEzNwjYhYM2Jpg82r45t/QVO+wRyfA/J/BEcdDB6GavXU7WVP6bxm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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f383db88f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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z8/PDw8MDnU6HwWBQ99fU1JCbm0t0dDQxMTEABAUFYTKZyM7OdqvMampqyMnJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f3825bf7da0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for step in range(10000):\n",
    "    artist_paintings = artist_works()           # real painting from artist\n",
    "    G_ideas = Variable(torch.randn(BATCH_SIZE, N_IDEAS))    # random ideas\n",
    "    G_paintings = G(G_ideas)                    # fake painting from G (random ideas)\n",
    "\n",
    "    prob_artist0 = D(artist_paintings)          # D try to increase this prob\n",
    "    prob_artist1 = D(G_paintings)               # D try to reduce this prob\n",
    "\n",
    "    D_loss = - torch.mean(torch.log(prob_artist0) + torch.log(1. - prob_artist1))\n",
    "    G_loss = torch.mean(torch.log(1. - prob_artist1))\n",
    "\n",
    "    opt_D.zero_grad()\n",
    "    D_loss.backward(retain_variables=True)      # retain_variables for reusing computational graph\n",
    "    opt_D.step()\n",
    "\n",
    "    opt_G.zero_grad()\n",
    "    G_loss.backward()\n",
    "    opt_G.step()\n",
    "\n",
    "    if step % 1000 == 0:  # plotting\n",
    "        plt.cla()\n",
    "        plt.plot(PAINT_POINTS[0], G_paintings.data.numpy()[0], c='#4AD631', lw=3, label='Generated painting',)\n",
    "        plt.plot(PAINT_POINTS[0], 2 * np.power(PAINT_POINTS[0], 2) + 1, c='#74BCFF', lw=3, label='upper bound')\n",
    "        plt.plot(PAINT_POINTS[0], 1 * np.power(PAINT_POINTS[0], 2) + 0, c='#FF9359', lw=3, label='lower bound')\n",
    "        plt.text(-.5, 2.3, 'D accuracy=%.2f (0.5 for D to converge)' % prob_artist0.data.numpy().mean(), fontdict={'size': 15})\n",
    "        plt.text(-.5, 2, 'D score= %.2f (-1.38 for G to converge)' % -D_loss.data.numpy(), fontdict={'size': 15})\n",
    "        plt.ylim((0, 3));plt.legend(loc='upper right', fontsize=12);plt.draw();plt.pause(0.01)\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
