Statistiekjes over de JNM afdelingen

statistiekjes.ipynb

{
 "metadata": {
  "name": "statistiekjes"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%pylab\n",
      "import numpy as np\n",
      "import matplotlib.pyplot as plt\n",
      "from pandas import read_csv"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "Welcome to pylab, a matplotlib-based Python environment [backend: TkAgg].\n",
        "For more information, type 'help(pylab)'.\n"
       ]
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# lidsoorten die in rekening worden gebracht\n",
      "leden = ['gewoon bijlid', 'gewoon lid', 'inibijlid', 'inilid', 'piepbijlid', 'pieplid']"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "data = read_csv(\"ledenlijst_nationaal.csv\", delimiter=\";\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def plot_leden_histogram(data, afdeling):\n",
      "    #data['geboortejaar'] = [x.year for x in data['geboortedatum']]\n",
      "    data = data[[x in leden for x in data['lidsoort']]]\n",
      "    if afdeling is not None:\n",
      "        data = data[data['afdeling'] == afdeling]\n",
      "    \n",
      "    fig, ax = plt.subplots()\n",
      "    ax.hist(data['geboortejaar'], bins=range(1987,2007))\n",
      "    ax.set_xlim(1987,2006)\n",
      "    if afdeling is not None:\n",
      "        ax.set_ylim(0,70)\n",
      "    ax.set_title(afdeling)\n",
      "    return fig\n",
      "\n",
      "def plot_leden_histogram2(data, afdeling):\n",
      "    #data['geboortejaar'] = [x.year for x in data['geboortedatum']]\n",
      "    data = data[[x in leden for x in data['lidsoort']]]\n",
      "    if afdeling is not None:\n",
      "        data = data[data['afdeling'] == afdeling]\n",
      "    data1 = data[[x in ['gewoon bijlid', 'gewoon lid'] for x in data['lidsoort']]]\n",
      "    data2 = data[[x in ['inibijlid', 'inilid'] for x in data['lidsoort']]]\n",
      "    data3 = data[[x in ['piepbijlid', 'pieplid'] for x in data['lidsoort']]]\n",
      "    fig, ax = plt.subplots()\n",
      "    ax.hist([data1['geboortejaar'], data2['geboortejaar'], data3['geboortejaar']], bins=range(1987,2007), histtype='barstacked')\n",
      "    ax.set_xlim(1987,2006)\n",
      "    if afdeling is not None:\n",
      "        ax.set_ylim(0,70)\n",
      "    ax.set_title(afdeling)\n",
      "    return fig"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Nationaal\n",
      "fig = plot_leden_histogram(data, afdeling=None)\n",
      "display(fig)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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fqbGYk5OjlJSUTtseAAAALl9LFxZLSkqUmprq1/dbHax9+/ZV3759JUlpaWmSpNWrV+u2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\nwQoAAACjEawAAAAwGsEKAAAAo/0/cSyOYCLACLUAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1069dbac>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# Nationaal\n",
      "fig = plot_leden_histogram2(data, afdeling=None)\n",
      "display(fig)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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FAACA0QisAAAAMBqBFQAAAEYjsAIAAMBoBFYAAAAYjcAKAAAAoxFYAQAAYDQC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\nXQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xa9b7c4c>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "for afd in np.unique(data['afdeling']):\n",
      "    fig = plot_leden_histogram(data, afd)\n",
      "    display(fig)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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HH9Wjjz7qszw2NlZz585t7uYBAADQTjX5Kz4BAACA5iBEAQAAYAQhCgAAACMI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\nMIIQBQAAgBGEKAAAAIz4f4yAU5Xzu7uqAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x9d6050c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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Jys/P1/z58ztp6gAAAOjJ2nyN6KZNm9TY2KiEhIQfHeNyuVRUVKT4+Hh3hEpScHCwoqKi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\njPh/+jd7BWcwJOYAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x9d604ec>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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SAAAA3HwO0enTp2v69Ok+LRsTE6OcnJzTHhQAAAD6vk5fIwoAAACcDkIUAAAA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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x9d2df0c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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w4Qe6mS4WLFiQxsbGPtkWAAAHz74uFq5duzajRo3q8TYO6Ffzixcvzp133plr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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x9dba0cc>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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ACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADA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\nBCEKAAAAIwhRAAAAGEGIAgAAwIj/H10JXFKmZPfxAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x9d9d0cc>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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nzpTVapXdbldiYqICAwNrukkAAAA0AjUO0ccff1yPP/641/TIyEjNmTOnpqsH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\nUQAAABhBiAIAAMAIQhQAAABG/H8ds0SyVaiBiQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x9de902c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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AwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAA\nGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAA\nwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAA\nAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAA\nADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGDGkuwuWl5dr69at2r9/v06cOKERI0Zo\n4sSJWrhwoWJiYlyWraqqUl5eniorK2W1WhUXFyebzabw8HCvvwEAAAD0T90+I/rKK6/o+PHjmj9/\nvtasWaP77rtPjY2Nuvfee/Xuu+86lzty5IgyMzPV0dGh1atX68EHH9TRo0eVkZGhpqamPnkTAAAA\n6H+6fUY0IyNDI0eOdJk2bdo0paam6tlnn1VcXJwkqaCgQP7+/srKylJAQIAkKSYmRmlpaSouLtbS\npUu9OHwAAAD0V90+I/r1CJWkgIAAjR07VvX19ZKkjo4OlZWVKSkpyRmhkhQWFqbY2FiVlpZ6YcgA\nAAAYCHr1ZaWWlhZVVVVp3LhxkqTa2lo5HA5FRUW5LRsVFaXa2lq1t7f35iUBAAAwQHT7o3lPHnvs\nMTkcDqWmpkqSmpubJUmBgYFuywYGBqqzs1N2u12hoaEet7ds2TKFhIS4TEtOTlZycnJvhgkAAAAv\nKyoqUlFRkcu0xsbGHm3jrEP0qaee0rZt25SRkaHo6Oiz3YyL3NxcxcfHe2VbAAAA6DueThaWl5cr\nISGh29s4q4/mCwsL9cwzz2jx4sWaN2+ec3pQUJAkyW63u61jt9tlsVg8ni0FAADA4NPjEC0sLFRh\nYaHS09OVkpLiMi8iIkL+/v6qqalxW6+mpkYREREaOnTo2Y8WAAAAA0aPQnT9+vUqLCxUWlqaFi5c\n6DbfarUqMTFRJSUlam1tdU6vq6tTRUWFkpKSej9iAAAADAjdvkb0hRde0NNPP63p06fr6quv1v79\n+13mX3755ZKk9PR02Ww2rVixQikpKWpra1NBQYFCQkK0YMEC744eAAAA/Va3Q7SsrEwWi0V79+7V\n3r17XeZZLBZt27ZNkhQZGamcnBytW7dOq1atktVqVXx8vGw2m4KDg707egAAAPRb3Q7RnJycbm80\nJiZG2dnmFMDYAAASuUlEQVTZZzUgAAAADA69uqE9AAAAcLYIUQAAABhBiAIAAMAIQhQAAABGEKIA\nAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAF\nAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQo\nAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBE\nAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQh\nCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMI\nUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEUNMDwAAAPRv1dXVstvtRscQGBio6Ohoo2NA\nzxGiAADgrFVXVysmJsb0MCRJVVVVxGg/Q4gCAICz9uWZ0GckTTI0ikpJqcbPyqLnehSira2tWr9+\nvQ4ePKjq6mo1Nzdr0aJFWrRokduyVVVVysvLU2VlpaxWq+Li4mSz2RQeHu61wQMAAF8xSVK86UGg\nn+nRl5Wampq0adMmnT59WjNnzvzG5Y4cOaLMzEx1dHRo9erVevDBB3X06FFlZGSoqamp14MGAABA\n/9ejM6JjxozRK6+8IumLKH311Vc9LldQUCB/f39lZWUpICBAkhQTE6O0tDQVFxdr6dKlvRw2AAAA\n+juv376po6NDZWVlSkpKckaoJIWFhSk2NlalpaXefkkAAAD0Q14P0draWjkcDkVFRbnNi4qKUm1t\nrdrb2739sgAAAOhnvP6t+ebmZklf3M/r6wIDA9XZ2Sm73a7Q0FC3+cuWLVNISIjLtOTkZCUnJ3t7\nmAAAAOiFoqIiFRUVuUxrbGzs0TZ86vZNubm5io/nG3cAAAC+ztPJwvLyciUkJHR7G17/aD4oKEiS\nPN7Ly263y2KxeDxbCgAAgMHF6yEaEREhf39/1dTUuM2rqalRRESEhg4d6u2XBQAAQD/j9RC1Wq1K\nTExUSUmJWltbndPr6upUUVGhpKQkb78kAAAA+qEeXyO6Z88enTp1Sp9//rkk6fDhw9q1a5ckacaM\nGfL391d6erpsNptWrFihlJQUtbW1qaCgQCEhIVqwYIF33wEAAAD6pR6HaG5ururq6iRJFotFu3bt\n0q5du2SxWPTcc88pLCxMkZGRysnJ0bp167Rq1SpZrVbFx8fLZrMpODjY628CAAATqqurjT/fPDAw\nUNHR0UbHAJytHofo17+m/01iYmKUnZ3d4wEBANAfVFdXKyYmxvQwJElVVVXEKPoln7p9EwAA/cWX\nZ0KfkTTJ0CgqJaUaPysLnC1CFACAXpkkiXtgA2fD69+aBwAAALqDEAUAAIARhCgAAACMIEQBAABg\nBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARPOITAADAC6qrq2W3242OITAw\nUNHR0UbH0BOEKAAAQC9VV1crJibG9DAkSVVVVf0mRglRAACAXvryTOgzkiYZGkWlpFTjZ2V7ghAF\nAADwmkmS4k0Pot/gy0oAAAAwghAFAACAEYQoAAAAjOAaUcDHcTsQAMBARYgCPozbgQAABjJCFPBh\n3A4EADCQEaJAv8DtQAAAAw9fVgIAAIARhCgAAACMIEQBAABgBNeIwif5wi2LJKmhoUGjRo0y9vqV\nlZXGXhu+yRd+NridF3yVyWMmx+uzQ4jC5/jSLYsAX+JLPxvczgu+5YgkKTU11fA40FOEKHyOb9yy\nSJI2S/qZ4XF0jQHwlZ8NbucFX3Ty7//meN3fEKLwYaZvWdT1MYvJcfBRDzwx/bMB+CqO1/0NX1YC\nAACAEYQoAAAAjCBEAQAAYATXiAIA0M9x2yL0V4QoAAD9FrctQv9GiAIA0G9x2yL0b4QoAAD9Hrct\nQv/El5UAAABgBCEKAAAAIwhRAAAAGME1ol9RXV1t/PnJgYGBio6ONjoGAACAc4EQ/bvq6mrFxMSY\nHoYkqaqqihgFAAADHiH6d1+eCTV5C4xKSanGz8oCAACcC4SoG5O3wAAAABg8+LISAAAAjCBEAQAA\nYAQhCgAAACO4RtQHVVaafVwat5ACPDN9izfTx4av8oWxNDQ0aNSoUcZe3xd+DwBPTO6bPX1tQtSn\nHJEkpaamGh4Ht5ACvs6XbvFmlu8cpwB8Xf/7+SREfcrJv/+bW0gBvsY3bvG2WdLPDL12F184Tklf\n/l4M9v8fwFf5ws9nz34uCFGfxC2kAN9l8ufTlz4KNn2c6vq94P8H4K7//FzwZSUAAAAYQYgCAADA\nCEIUAAAARnCNKDzqT7d+AAAA/ZNPhejbb7+t5uZmI69dVVVl5HV9T/+79QMAAOiffCpE77nnHtND\nQD+89QMGh6KiIiUnJ5seBgDAi/okRFtbW/WHP/xBu3btUnNzsyIjI5WSkqLrrrvuO9b8kaRf98WQ\nuuFvkuYZem1f1H9u/YDBgRAFgIGnT0L05z//uT744AMtXbpUF198sbZt26Zf/epXOnPmjL7//e9/\ny5rBkib0xZC6wcwlAQAAAIOV10N09+7deuedd/Szn/3MeQY0NjZWx44d03/913/puuuuk58fX9YH\nAAAY7LxehKWlpTrvvPM0a9Ysl+k33HCDGhoa+EY0AAAAJPXBGdFDhw4pMjLS7azn+PHjJUmHDx/W\n5MmTXeY5HI6//9cJSeXeHlI3dQXyZpm7RvEvjMFnxuAr4/CFMXxxR4nNmzcb+4tkW1ubqqqqVFBQ\noGHDhhkZw6FDh/7+X4N9f/CFMfjKOBgDY2AM3zSGL9vu21l27NjR6c2XT0tLU0REhNasWeMyvaGh\nQQsWLNCSJUvcvnDwxhtv6OGHH/bmMAAAAGDIypUrNXv27O9czidu3zR16lStXLlSY8aMMXa2AwAA\nAL3jcDh07NgxTZ06tVvLez1Eg4KCPN6UvmtaUFCQ27yQkJBuVTMAAAB82xVXXNHtZb3+ZaWoqCh9\n9NFHOnPmjMv0ruuruq4VBQAAwODm9RCdOXOmWltbtWvXLpfpW7Zs0ejRozVpkqmn9QAAAMCXeP2j\n+enTpyshIUG5ubn6/PPPddFFF2n79u16++23tXLlSlksFm+/JAAAAPohr39rXvryEZ87d+5Uc3Oz\nxo4d281HfAIAAGCw6JMQxbnX2tqq9evX6+DBg6qurlZzc7MWLVqkRYsWuS27YcMGvfzyyzp27JiC\ngoJ07bXXavHixRoxYoTLcg0NDXryySe1d+9enTx5Updccol++MMf6sYbb3Tb5meffaa8vDzt3r1b\nbW1tuvTSS3XXXXcpPt7U8+rhC0zul1u2bNEjjzzicVwbNmzQyJEjvfdG0W+Ul5dr69at2r9/v06c\nOKERI0Zo4sSJWrhwoWJiYlyWraqqUl5eniorK2W1WhUXFyebzabw8HC37b744ot66aWXdOzYMY0e\nPVrXX3+9UlNTZbVaXZbjWAlPTO6Xpo+VPnH7JvReU1OTNm3apAkTJmjmzJl69dVXPS73xBNPaMOG\nDbrjjjuUkJCgQ4cOqaCgQAcOHNDatWudO2dLS4syMjLU0dGhe+65R6NGjdK2bduUnZ2tkydPasGC\nBc5tOhwOPfDAA/r888913333aeTIkdq4caOWL1+u7OxsTZky5Zz8HsD3mNwvuyxfvlyRkZEu0zzd\nvQODwyuvvKLGxkbNnz9f48aNU1NTk1544QXde++9euSRRxQXFydJOnLkiDIzMxUdHa3Vq1erra1N\nBQUFysjIUH5+voKDg53bfOaZZ1RQUKCUlBRNnTpVBw4c0B/+8AedOHFCDzzwgHM5jpX4Jib3yy6m\njpWE6AAxZswYvfLKK5K++MPf0x/49fX12rBhg2699VYtWbJEkhQfH6+RI0fq17/+tbZs2aKbbrpJ\nkvS///u/+uSTT5SXl6fo6GhJX9zvtaGhQQUFBbrhhhucZ6o2b96sw4cP6/HHH9fll18uSZoyZYoW\nL16svLw8PfHEE33+/uGbTO6XXcaPH+92RgGDV0ZGhtsZnmnTpik1NVXPPvus8w/8goIC+fv7Kysr\nSwEBAZKkmJgYpaWlqbi4WEuXLpX0xX79xz/+UTfffLPuvvtuSV8c/06fPq2nnnpK8+fP19ixYyVx\nrMQ3M7lfdjF1rPT6t+bhuyorK9XZ2amrr77aZfqMGTMkSSUlJc5p77//vkJDQ51/2H912VOnTumt\nt95yTistLVVkZKTzwCpJVqtV//RP/6QDBw6ooaGhL94OBoi+2i+7dHZy9RG+5OljxoCAAI0dO1b1\n9fWSpI6ODpWVlSkpKcn5h70khYWFKTY2VqWlpc5pb731ltrb2zVnzhyXbd5www3q7Ox0WZZjJb6J\nyf2yi6ljJSE6iLS3t0uShg4d6jJ9yJAvTozX1NS4LPv15b667leXPXTokKKiotyW7Zp2+PDh3g0c\nA1pf7ZddHnroIX3/+9/XLbfcop///OdfeWY88IWWlhZVVVVp3LhxkqTa2lo5HI5vPK7V1tY699uu\n/enry4aGhio4ONjl+MexEj1xrvbLLqaOlYToINK1M7///vsu07t+/dUnYo0fP17Hjx/X8ePHv3NZ\nu93u8TqSwMBAt2WBr+ur/XLUqFFKS0vTT3/6U+Xm5urOO+/UBx98oHvvvddjsGLweuyxx+RwOJSa\nmirpy/2o6xj2VYGBgers7JTdbncuO3ToUPn7+3tclmMlzta52i9NHysJ0UHk0ksv1VVXXaXnn39e\nu3btUktLi95//33l5OTIz89Pfn5f7g4333yzhgwZoocffliHDx9WU1OTNm7cqB07dkgS94OF1/TV\nfjlt2jTdeeedmjFjhq688krNmzdPjz32mCwWiwoKCs75+4Rveuqpp7Rt2zb9+Mc/drvkAzDlXO6X\npo+VhOggs3r1al1xxRX6xS9+oblz5+r+++/XrFmzNGHCBI0ePdq5XGRkpH71q1+prq5Od911l269\n9VYVFxfrxz/+sSS5LBsUFOTxb/JdfzPjG8r4Ln2xX3oyZswYXXHFFdq/f3+fvh/0D4WFhXrmmWe0\nePFizZs3zzm965jVdQz7KrvdLovF4jwrFRQUpPb2djkcDrdlm5ubXY5/HCvRHed6v/TkXB4r+db8\nIBMSEqI1a9aoqalJn376qcLCwjRs2DBt3LhR//iP/+iy7PTp0/X888+rtrZWHR0duuSSS7R9+3ZJ\ncrnNyPjx4z2evu+aNn78+L57QxgQ+mK//Dac0UdhYaEKCwuVnp6ulJQUl3kRERHy9/f/xuNaRESE\n87rkrmvwPvzwQ5dHWH/66adqbm52Of5xrMR3MbFffptzcazkjOggFRwcrPHjx+u8887Tyy+/rFOn\nTunWW2/1uGxERIQiIyN1+vRpbdiwQdHR0bryyiud82fOnKkjR46osrLSOa2jo0Ovv/66Lr/8coWG\nhvb5+8HA4M390pOPP/5Y+/btc/nWMgaf9evXq7CwUGlpaVq4cKHbfKvVqsTERJWUlKi1tdU5va6u\nThUVFUpKSnJOmz59uoYNG6atW7e6bGPLli2yWCy69tprndM4VuLbmNovPTmXx0prenr66j5/FZwT\ne/bs0Ycffqiamhq9+eabCgkJkcVi0UcffaTw8HANGTJEmzZtUlVVlVpaWlRdXa3//u//1nPPPacl\nS5Zo1qxZLtvrulD6s88+U3l5ubKzs1VfX6+HH35YISEhzuWioqJUWlqqN954QyNHjnQ+OaSyslIr\nVqxQWFjYuf6tgA8xtV/+67/+q+rr62W323XixAm9+eabys7OVkdHh1auXOmyLAaPF154Qfn5+Zo+\nfbpuuukm1dfXu/xzwQUXSPri7OTLL7+sd999V6GhoaqpqVF2drb8/Pz0b//2bxo+fLgkOb8MUlxc\nrNOnT8vPz0+7du3S008/rRtuuMHl9jkcK/FNTO6Xpo+VPOJzAElOTlZdXZ2kL06nd90TzGKx6Lnn\nnlNYWJg2bdqkDRs26NixY/Lz81N0dLRuv/12/cM//IPb9n72s5/pwIEDampqUlBQkKZPn6709HRd\neOGFbst2HVDLysrU1tam6Oho3XnnnTy2Dsb2yyeeeEJvvfWW6uvr1dbWppCQEMXHx2vhwoWKiIjo\n+zcOn5SZmal9+/Z5vGeixWLRtm3bnL+uqqrSunXr9Le//U1Wq1Xx8fHdepTiqFGjNGfOnG99xCfH\nSnyVyf3S9LGSEAUAAIARXCMKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgA\nAACMIEQBAABgBCEKAAAAI/4f3f5rg0XgqPYAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xaf9c72c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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1alSnsc3NzVmwYEGamppSWVmZMWPGpKGhIcOGDev1FwAAwP6px2dE77rrrvzm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\naNCgJMmoUaMyderULFmyJNO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       "text": [
        "<matplotlib.figure.Figure at 0xaf9cd6c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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+Y2JilJeXp5UrV2rp0qWyWq1KTk6Ww+HgqUoAAADwCjhEp0+frunTpwe0bHx8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\nAAAAI/4fVRWwNY4cGu8AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xb3e84ac>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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e7XHbt29PXV1dhg8ffvSzBQDguNGnEL3jjjuyatWqzJ49O1dddVW39ZWVlZky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\nNmxYhg377e7wrne9KyeddFI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       "text": [
        "<matplotlib.figure.Figure at 0xb1f37ac>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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4uGJjY1VUVNS+2QIAAKDH8PuM6M6dOxUSEqIvvvhC8+bN0/79+xUSEqKJEyfqnnvu0bnn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\nAABgBCEKAAAAI/4/v/aLo3a9uYsAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xb89b68c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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iiity44035pOf/GS2bduWT3ziE/n5z3/eudzGjRsze/bs7N27N/PmzctnPvOZ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\nAACKEKIAABQhRAEAKEKIAgBQxP8PiLKNjCBesAgAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xb65536c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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AgBEEUQAAABhBEAUAAIARBFEAAAAYQRAFAACAEQRRAAAAGEEQBQAAgBEEUQAA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\n",
       "text": [
        "<matplotlib.figure.Figure at 0xbcff2ac>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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FAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIA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\n",
       "text": [
        "<matplotlib.figure.Figure at 0xbf3b70c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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uyxYXFyszM1NFRUWyWq2KiYmR3W5X3759vf4EAAAA0Dl5HKI1NTUKDQ3VmDFj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\nrkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xbf3bb2c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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FF7aPGTp0aObPn59FixZlzpw5qaysTENDQxobGz1VCQCAdvsUov3798/FF1+ciy+++I+O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\nUQAAivj/wI7RT9S5FXkAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xbaee8cc>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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ms6miosJjXEVFhcLCwuTr69velwQAAEA30O4QLS0tlY+PjwYMGCCr1arx48dr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\n",
       "text": [
        "<matplotlib.figure.Figure at 0xc3d32cc>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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EIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGCE\nX2MfsHPnTr300kvatWuXnE6nLr74Yt1www1KTk52jykuLlZ2draKiopktVo1ePBg2e12RURENOvk\nAQAA0HY1KkTXrVunuXPn6rrrrtP06dPVqVMnHTp0SMePH3ePOXDggKZMmaLo6GjNmjVLNTU1ysnJ\nUWpqqpYsWaKQkJBmfxIAAABoe3wO0aNHj2rBggW67bbb9NBDD7mXx8bGeozLyclRQECA5s6dq8DA\nQElSTEyMkpOTlZeXp8mTJzfT1AEAANCW+XyN6Jo1a1RTU6PExMQzjqmrq1NBQYESEhLcESpJ4eHh\nio2NVX5+ftNmCwAAgHbD5zOiH330kYKDg/XFF19o+vTp2r9/v4KDgzVy5Ejde++96ty5s0pLS+V0\nOhUVFeX1+KioKH3wwQeqra2Vv79/sz4JAAAAtD0+h+ixY8d08uRJPf744/rd736nyy+/XLt379bS\npUu1b98+/dd//ZcqKyslSUFBQV6PDwoKksvlksPhUFhYWIP7SEtLU2hoqMeyxMTEs56FBQAAwPmX\nm5ur3Nxcj2Xl5eWN2obPIepyueR0OjVhwgR3GA4aNEh+fn569tlnVVhYqI4dOzZq5z+WlZWluLi4\nJm0DAAAALa+hk4WFhYUaMmSIz9vw+RrR4OBgSdLQoUM9lsfHx0uS9u7d6/5EvMPh8Hq8w+GQxWJp\n8GwpAAAALjw+h2jfvn1/ckzPnj0VEBCgkpISr3UlJSWy2WxcHwoAAABJjQjRhIQESdLWrVs9lr/3\n3nuSpP79+8tqtWr48OHatGmTqqur3WPKysq0Y8cO9zYAAAAAn68RHTJkiIYPH67ly5fL5XKpf//+\n+uyzz7R8+XINHz5cAwcOlCSlpKTIbrcrPT1d48aNc9/QPjQ0VGPHjm2xJwIAAIC2pVHfrDRz5kwt\nW7ZMq1ev1rJly9S9e3eNHTtWEyZMcI+JjIxUZmamFi9erJkzZ8pqtSouLk52u51vVQIAAIBbo0K0\nY8eOmjRpkiZNmnTWcTExMcrIyGjSxAAAANC++XyNKAAAANCcCFEAAAAYQYgCAADACEIUAAAARhCi\nAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQ\nBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGE\nKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwg\nRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAE\nIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAj\nCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAj/HwduGPH\nDk2dOrXBdc8++6z69+/v/nNxcbGys7NVVFQkq9WqwYMHy263KyIioukzBgAAQLvgc4jWmzRpkmJj\nYz2W9e7d2/3fBw4c0JQpUxQdHa1Zs2appqZGOTk5Sk1N1ZIlSxQSEtLkSQMAAKDta3SI2mw2j7Of\nP5aTk6OAgADNnTtXgYGBkqSYmBglJycrLy9PkydPPvfZAgAAoN1o1mtE6+rqVFBQoISEBHeESlJ4\neLhiY2OVn5/fnLsDAABAG9boEM3KytKoUaN06623atq0adq5c6d7XWlpqZxOp6KiorweFxUVpdLS\nUtXW1jZtxgAAAGgXfH5rvkuXLhozZowGDRqk4OBglZaWKi8vT1OmTNHcuXM1dOhQVVZWSpKCgoK8\nHh8UFCSXyyWHw6GwsLAG95GWlqbQ0FCPZYmJiUpMTGzMcwIAAEALy83NVW5ursey8vLyRm3D5xDt\n27ev+vbt6/7zwIEDNWLECN1zzz1avHixhg4d2qgdNyQrK0txcXFN3g4AAABaVkMnCwsLCzVkyBCf\nt9Gka0S7dOmiYcOG6fPPP5fT6VRwcLAkyeFweI11OByyWCwNni0FAADAhafZPqxksVhks9kUEBCg\nkpISr/UlJSWy2Wzy9/dvrl0CAACgDWtSiDocDm3ZskXR0dHy9/eX1WrV8OHDtWnTJlVXV7vHlZWV\naceOHUpISGjyhAEAANA++HyN6BNPPKGIiAhFR0crODhYBw8e1KuvvqqKigqlp6e7x6WkpMhutys9\nPV3jxo1z39A+NDRUY8eObZEnAQAAgLbH5xC97LLLtGHDBr3++uuqrq5WcHCwBg4cqBkzZqhfv37u\ncZGRkcrMzNTixYs1c+ZMWa1WxcXFyW63861KAAAAcPM5RBtzG6WYmBhlZGSc86QAAADQ/jXrNysB\nAAAAviJEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBE\nAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQh\nCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMI\nUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhB\niAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAI\nQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABG\nEKIAAAAwghAFAACAEYQoAAAAjPBryoPfeustLViwQJ06ddKaNWs81hUXFys7O1tFRUWyWq0aPHiw\n7Ha7IiIimjRhAAAAtA/nfEb06NGj+utf/6pu3brJYrF4rDtw4ICmTJmiuro6zZo1S9OmTdPBgweV\nmpqqioqKJk8aAAAAbd85h2hmZqYGDx6sK6+8Ui6Xy2NdTk6OAgICNHfuXMXHx2vkyJGaO3euKioq\nlJeX1+RJAwAAoO07pxD9xz/+oY8//lgPPfSQV4TW1dWpoKBACQkJCgwMdC8PDw9XbGys8vPzmzZj\nAAAAtAuNDtETJ07omWee0eTJk9W9e3ev9aWlpXI6nYqKivJaFxUVpdLSUtXW1p7bbAEAANBuNPrD\nSgsXLlTv3r112223Nbi+srJSkhQUFOS1LigoSC6XSw6HQ2FhYV7r09LSFBoa6rEsMTFRiYmJjZ0m\nAAAAWlBubq5yc3M9lpWXlzdqG40K0Y0bN6qgoEBLlixp1E58lZWVpbi4uBbZNgAAAJpPQycLCwsL\nNWTIEJ+34XOIVldXa+HChfrtb3+rsLAwVVVVSZJOnTolSaqqqpLValVwcLAkyeFweG3D4XDIYrE0\neLYUAAAAFxafQ7SiokLl5eXKy8tr8JPvt912m0aMGKGZM2cqICBAJSUlXmNKSkpks9nk7+/ftFkD\nAACgzfM5RMPCwvTnP//Z456hLpdLubm5+uijj/TUU08pJCREVqtVw4cP16ZNm3Tvvfe6PzlfVlam\nHTt26I477mj+ZwEAAIA2x+cQ7dixo2JjY72Wr127Vh06dNCgQYPcy1JSUmS325Wenq5x48appqZG\nOTk5Cg0N1dixY5tn5gAAAGjTmvQVn5JksVi8vlkpMjJSmZmZWrx4sWbOnCmr1aq4uDjZ7XaFhIQ0\ndZcAAABoB5ocoo8++qgeffRRr+UxMTHKyMho6uYBAADQTp3zV3wCAAAATUGIAgAAwAhCFAAAAEYQ\nogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCC\nEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIAR\nhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACM\nIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABg\nBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAA\nIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAA\nGOHn68C9e/dqyZIl2r9/v8rLyxUQEKBLL71Uo0eP1qhRozzGFhcXKzs7W0VFRbJarRo8eLDsdrsi\nIiKa/QkAAACgbfI5RKuqqhQeHq5Ro0ape/fuOnnypNatW6cnn3xSR44cUVJSkiTpwIEDmjJliqKj\nozVr1izV1NQoJydHqampWrJkiUJCQlrsyQAAAKDt8DlEY2NjFRsb67Fs2LBhOnz4sFavXu0O0Zyc\nHAUEBGju3LkKDAyUJMXExCg5OVl5eXmaPHlyM04fAAAAbVWTrxENDg6W1WqVJNXV1amgoEAJCQnu\nCJWk8PBwxcbGKj8/v6m7AwAAQDvR6BB1uVyqq6tTeXm5Xn/9dW3fvl133HGHJKm0tFROp1NRUVFe\nj4uKilJpaalqa2ubPmsAAAC0eT6/NV8vMzNTq1evliR16NBBdrtdv/71ryVJlZWVkqSgoCCvxwUF\nBcnlcsnhcCgsLKzBbaelpSk0NNRjWWJiohITExs7TQAAALSg3Nxc5ebmeiwrLy9v1DYaHaJJSUm6\n9dZbVV5eri1btmjRokVyOp3NEotZWVmKi4tr8nYAAADQsho6WVhYWKghQ4b4vI1Gh+gll1yiSy65\nRJIUHx8vSXrhhRd08803Kzg4WJLkcDi8HudwOGSxWBo8WwoAAIALT5M/rNSvXz/V1dXp0KFDstls\nCggIUElJide4kpIS2Ww2+fv7N3WXAAAAaAeaHKI7duxQhw4d1LNnT1mtVg0fPlybNm1SdXW1e0xZ\nWZl27NihhISEpu4OAAAA7YTPb80vWLBAF110kfr166euXbuqsrJS7777rt59913deeed7hvVp6Sk\nyG63Kz09XePGjXPf0D40NFRjx45tsScCAACAtsXnEL3iiiu0du1avf3226qqqlJgYKD69u2r6dOn\ne3zFZ2RkpDIzM7V48WLNnDlTVqtVcXFxstvtfKsSAAAA3HwO0RtvvFE33nijT2NjYmKUkZFxzpMC\nAABA+9fka0QBAACAc0GIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAA\nIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAA\nGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAA\nwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAA\nAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAA\nADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUA\nAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGOHn68DCwkK9/fbb2rVrl44dO6YuXbqoX79+Gj9+\nvGJiYjzGFhcXKzs7W0VFRbJarRo8eLDsdrsiIiKa/QkAAACgbfL5jOiqVav01VdfacyYMZo3b54e\nfPBBlZeX6/7779eHH37oHnfgwAFNmTJFdXV1mjVrlqZNm6aDBw8qNTVVFRUVLfIkAAAA0Pb4fEY0\nNTVVXbt29Vg2dOhQJSUl6aWXXtLgwYMlSTk5OQoICNDcuXMVGBgoSYqJiVFycrLy8vI0efLkZpw+\nAAAA2ioOiNkBAAAUOUlEQVSfz4j+OEIlKTAwUL169dLRo0clSXV1dSooKFBCQoI7QiUpPDxcsbGx\nys/Pb4YpAwAAoD1o0oeVqqqqVFxcrN69e0uSSktL5XQ6FRUV5TU2KipKpaWlqq2tbcouAQAA0E74\n/NZ8QxYuXCin06mkpCRJUmVlpSQpKCjIa2xQUJBcLpccDofCwsIa3F5aWppCQ0M9liUmJioxMbEp\n0wQAAEAzy83NVW5ursey8vLyRm3jnEP0hRde0Pr165Wamqro6Ohz3YyHrKwsxcXFNcu2AAAA0HIa\nOllYWFioIUOG+LyNc3prftmyZXrxxRc1ceJEjR492r08ODhYkuRwOLwe43A4ZLFYGjxbCgAAgAtP\no0N02bJlWrZsmVJSUjRu3DiPdTabTQEBASopKfF6XElJiWw2m/z9/c99tgAAAGg3GhWiy5cv17Jl\ny5ScnKzx48d7rbdarRo+fLg2bdqk6upq9/KysjLt2LFDCQkJTZ8xAAAA2gWfrxF99dVXtXTpUsXH\nx+uqq67Srl27PNZffvnlkqSUlBTZ7Xalp6dr3LhxqqmpUU5OjkJDQzV27NjmnT0AAADaLJ9DtKCg\nQBaLRdu2bdO2bds81lksFq1fv16SFBkZqczMTC1evFgzZ86U1WpVXFyc7Ha7QkJCmnf2AAAAaLN8\nDtHMzEyfNxoTE6OMjIxzmhAAAAAuDE26oT0AAABwrghRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCC\nEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIAR\nhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACM\nIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABg\nBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAA\nIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAA\nGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAI/waM7i6ulrLly/X\n3r17tWfPHlVWVmrChAmaMGGC19ji4mJlZ2erqKhIVqtVgwcPlt1uV0RERLNNHgAAAG1Xo86IVlRU\naPXq1Tp16pRGjhx5xnEHDhzQlClTVFdXp1mzZmnatGk6ePCgUlNTVVFR0eRJAwAAoO1r1BnRHj16\naNWqVZJOR+lbb73V4LicnBwFBARo7ty5CgwMlCTFxMQoOTlZeXl5mjx5chOnDQAAgLau2a8Rraur\nU0FBgRISEtwRKknh4eGKjY1Vfn5+c+8SAAAAbVCjzoj6orS0VE6nU1FRUV7roqKi9MEHH6i2tlb+\n/v7NvWsAAHCB2rNnjxwOh9E5BAUFKTo62ugc2ppmD9HKykpJp38ZPxYUFCSXyyWHw6GwsDCv9Wlp\naQoNDfVYlpiYqMTExOaeJgAAaCf27NmjmJgY09OQdPrD2hdKjObm5io3N9djWXl5eaO20ewh2hRZ\nWVmKi4szPQ0AANCGfH8m9EVJ/Q3NokhSkvGzsudTQycLCwsLNWTIEJ+30ewhGhwcLEkN/iIcDocs\nFkuDZ0sBAACapr8kTmi1Jc3+YSWbzaaAgACVlJR4rSspKZHNZuP6UAAAADR/iFqtVg0fPlybNm1S\ndXW1e3lZWZl27NihhISE5t4lAAAA2qBGvzW/detWnTx5Ut9++60kaf/+/dq4caMkadiwYQoICFBK\nSorsdrvS09M1btw41dTUKCcnR6GhoRo7dmzzPgMAAAC0SY0O0aysLJWVlUmSLBaLNm7cqI0bN8pi\nsejll19WeHi4IiMjlZmZqcWLF2vmzJmyWq2Ki4uT3W5XSEhIsz8JAABgjulbJxUVFRnbN5qm0SH6\n44/pn0lMTIwyMjIaPSEAANB2tKZbJ6HtaVW3bwIAAG1L67h10hpJfzS0bzQFIQoAAJqByVsn8dZ8\nW9Xsn5oHAAAAfEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhR\nAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGOFn\negIAALRVe/bskcPhMDqHoKAgRUdHG50DvldUVGR0/23teCBEAQA4B3v27FFMTIzpaUiSiouL21R8\ntE8HJElJSUmG59G2jgdCFACAc/D9mdAXJfU3NIsiSUnGz8pCkr751/9zPDQGIQoAQJP0lxRnehJo\nNTgeGoMPKwEAAMAIQhQAAABGEKIAAAAwgmtEAQBo40zeMsj07YrgrS0dD4QoAABtVuu5ZRBag7Z3\nPBCiAAC0Wa3hlkFrJP3R0L7hqe0dD4QoAABtnslbBvHWfOvTdo4HPqwEAAAAIwhRAAAAGEGIAgAA\nwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAA\nAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAI/xMTwCtz549e+RwOIzOISgoSNHR0Ubn\nIPGzaE34XQBA+0OIwsOePXsUExNjehqSpOLiYqN/6fOzaD34XQBA+0SIwsP3Z5xelNTf0CyKJCUZ\nP/vFz6L14HcBAO0TIYoz6C8pzvQkWgl+Fq0HvwsAaE/4sBIAAACMIEQBAABgBCEKAAAAI7hGFGgD\nioqKjO6f2xZ9j98FADSfVhWi77//viorK43OITY2VqGhoUbnAHzvgCQpKSnJ8Dy4bRG/CwBofq0q\nRO+9917TU9CkSZO0ePFi09MA/uWbf/0/ty0yj98FADS3FgnR6upqPf/889q4caMqKysVGRmpcePG\n6brrrvuJR/4/SU+0xJR80qHD7/Ttt98a2z9wZty2qPXgdwEAzaVFQvSxxx7TZ599psmTJ+tnP/uZ\n1q9fr9mzZ+u7777TL37xi7M8MkRS35aYkk8sls7G9g0AAHChafYQfe+99/TBBx/oj3/8o/sMaGxs\nrI4cOaK//e1vuu6669ShAx/WBwAAuNA1exHm5+erc+fOuuaaazyW33TTTTp+/LjxT5wCAACgdWj2\nM6L79u1TZGSk11nPPn36SJL279+vK664wmOd0+n8138dk1TY3FPy0Ul9912Z9u1z6qWXXjIyg5qa\nGh06dEg2m00dO3Y0Mod9+/b967/W6PQHI0woPj2DNWuM/sOldfwsNreCOZj/ffC7qGf+d9EaXqda\nyzw4LpkDczjzHL5vu7OzbNiwwdWcu09OTpbNZtO8efM8lh8/flxjx47VpEmTlJiY6LFu3bp1mjNn\nTnNOAwAAAIbMmDFDo0aN+slxreL2TVdeeaVmzJihHj16GP0XNgAAAM6d0+nUkSNHdOWVV/o0vtlD\nNDg4uMGb0tcvCw4O9loXGhrqUzUDAACgdRswYIDPY5v9w0pRUVH64osv9N1333ksr7+Wpv5aUQAA\nAFzYmj1ER44cqerqam3cuNFj+dq1a9W9e3f172/qG0kAAADQmjT7W/Px8fEaMmSIsrKy9O2336pn\nz55655139P7772vGjBmyWCzNvUsAAAC0Qc3+qXnp+6/4fPfdd1VZWalevXr5+BWfAAAAuFC0SIji\n/Kuurtby5cu1d+9e7dmzR5WVlZowYYImTJjgNXbFihV64403dOTIEQUHB2vEiBGaOHGiunTp4jHu\n+PHjeu6557Rt2zZ98803uvTSS/Wb3/xGN998s9c2v/76a2VnZ+u9995TTU2NLrvsMt19992Ki+M7\nuS9kJo/LtWvXav78+Q3Oa8WKFeratWvzPVG0GYWFhXr77be1a9cuHTt2TF26dFG/fv00fvx4xcTE\neIwtLi5Wdna2ioqKZLVaNXjwYNntdkVERHht93/+53/0+uuv68iRI+revbt++ctfKikpSVar1WMc\nr5VoiMnj0vRrZau4fROarqKiQqtXr1bfvn01cuRIvfXWWw2OW7RokVasWKE777xTQ4YM0b59+5ST\nk6Pdu3fr2WefdR+cVVVVSk1NVV1dne69915169ZN69evV0ZGhr755huNHTvWvU2n06mHH35Y3377\nrR588EF17dpVK1eu1KOPPqqMjAwNGjTovPwM0PqYPC7rPfroo4qMjPRY1tDdO3BhWLVqlcrLyzVm\nzBj17t1bFRUVevXVV3X//fdr/vz5Gjx4sCTpwIEDmjJliqKjozVr1izV1NQoJydHqampWrJkiUJC\nQtzbfPHFF5WTk6Nx48bpyiuv1O7du/X888/r2LFjevjhh93jeK3EmZg8LuuZeq0kRNuJHj16aNWq\nVZJO/+Xf0F/4R48e1YoVK3T77bdr0qRJkqS4uDh17dpVTzzxhNauXatbbrlFkvTmm2/q8OHDys7O\nVnR0tKTT93s9fvy4cnJydNNNN7nPVK1Zs0b79+/XM888o8svv1ySNGjQIE2cOFHZ2dlatGhRiz9/\ntE4mj8t6ffr08TqjgAtXamqq1xmeoUOHKikpSS+99JL7L/ycnBwFBARo7ty5CgwMlCTFxMQoOTlZ\neXl5mjx5sqTTx/Xf//533XrrrbrnnnsknX79O3XqlF544QWNGTNGvXr1ksRrJc7M5HFZz9RrZbN/\nah6tV1FRkVwul6666iqP5cOGDZMkbdq0yb3sk08+UVhYmPsv+x+OPXnypLZv3+5elp+fr8jISPcL\nqyRZrVb9+7//u3bv3q3jx4+3xNNBO9FSx2U9l4urj/C9ht5mDAwMVK9evXT06FFJUl1dnQoKCpSQ\nkOD+y16SwsPDFRsbq/z8fPey7du3q7a2VjfeeKPHNm+66Sa5XC6PsbxW4kxMHpf1TL1WEqIXkNra\nWkmSv7+/x3I/v9MnxktKSjzG/njcDx/7w7H79u1TVFSU19j6Zfv372/axNGutdRxWW/69On6xS9+\noV//+td67LHHfvD94MBpVVVVKi4uVu/evSVJpaWlcjqdZ3xdKy0tdR+39cfTj8eGhYUpJCTE4/WP\n10o0xvk6LuuZeq0kRC8g9QfzJ5984rG8/s8//EasPn366KuvvtJXX331k2MdDkeD15EEBQV5jQV+\nrKWOy27duik5OVmPPPKIsrKydNddd+mzzz7T/fff32Cw4sK1cOFCOZ1OJSUlSfr+OKp/DfuhoKAg\nuVwuORwO91h/f38FBAQ0OJbXSpyr83Vcmn6tJEQvIJdddpn+7d/+Ta+88oo2btyoqqoqffLJJ8rM\nzFSHDh3UocP3h8Ott94qPz8/zZkzR/v371dFRYVWrlypDRs2SBL3g0WzaanjcujQobrrrrs0bNgw\nDRw4UKNHj9bChQtlsViUk5Nz3p8nWqcXXnhB69ev13333ed1yQdgyvk8Lk2/VhKiF5hZs2ZpwIAB\nevzxx3Xbbbdp6tSpuuaaa9S3b191797dPS4yMlKzZ89WWVmZ7r77bt1+++3Ky8vTfffdJ0keY4OD\ngxv8l3z9v8z4hDJ+Sksclw3p0aOHBgwYoF27drXo80HbsGzZMr344ouaOHGiRo8e7V5e/5pV/xr2\nQw6HQxaLxX1WKjg4WLW1tXI6nV5jKysrPV7/eK2EL873cdmQ8/layafmLzChoaGaN2+eKioqdOLE\nCYWHh6tjx45auXKlrr32Wo+x8fHxeuWVV1RaWqq6ujpdeumleueddyTJ4zYjffr0afD0ff2yPn36\ntNwTQrvQEsfl2XBGH8uWLdOyZcuUkpKicePGeayz2WwKCAg44+uazWZzX5dcfw3e559/7vEV1idO\nnFBlZaXH6x+vlfgpJo7Lszkfr5WcEb1AhYSEqE+fPurcubPeeOMNnTx5UrfffnuDY202myIjI3Xq\n1CmtWLFC0dHRGjhwoHv9yJEjdeDAARUVFbmX1dXV6R//+Icuv/xyhYWFtfjzQfvQnMdlQw4dOqSP\nP/7Y41PLuPAsX75cy5YtU3JyssaPH++13mq1avjw4dq0aZOqq6vdy8vKyrRjxw4lJCS4l8XHx6tj\nx456++23Pbaxdu1aWSwWjRgxwr2M10qcjanjsiHn87XSmpKSMqvF94LzYuvWrfr8889VUlKiLVu2\nKDQ0VBaLRV988YUiIiLk5+en1atXq7i4WFVVVdqzZ4/++7//Wy+//LImTZqka665xmN79RdKf/31\n1yosLFRGRoaOHj2qOXPmKDQ01D0uKipK+fn5Wrdunbp27er+5pCioiKlp6crPDz8fP8o0IqYOi7/\n8z//U0ePHpXD4dCxY8e0ZcsWZWRkqK6uTjNmzPAYiwvHq6++qiVLlig+Pl633HKLjh496vG/iy++\nWNLps5NvvPGGPvzwQ4WFhamkpEQZGRnq0KGDfv/736tTp06S5P4wSF5enk6dOqUOHTpo48aNWrp0\nqW666SaP2+fwWokzMXlcmn6t5Cs+25HExESVlZVJOn06vf6eYBaLRS+//LLCw8O1evVqrVixQkeO\nHFGHDh0UHR2tO+64Q1dffbXX9v74xz9q9+7dqqioUHBwsOLj45WSkqJLLrnEa2z9C2pBQYFqamoU\nHR2tu+66i6+tg7HjctGiRdq+fbuOHj2qmpoahYaGKi4uTuPHj5fNZmv5J45WacqUKfr4448bvGei\nxWLR+vXr3X8uLi7W4sWL9emnn8pqtSouLs6nr1Ls1q2bbrzxxrN+xSevlfghk8el6ddKQhQAAABG\ncI0oAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAA\njPj/1Xj1VhCzGOoAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xc61b2cc>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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iAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIU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\nAMAIQhQAAABGEKIAAAAwghAFAACAEf8fYNLMkJuQhtsAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xc61bb0c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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AAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIA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\nIQoAAAAjCFEAAAAYQYgCAADAiP8HDKcN9RTVX8cAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xc62036c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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cHLdplZWVLVqH1yHa2Ngop9OpWbNmucJwxIgR6t69u5577jnl5+erR48eLdr4j2VkZCgu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\nAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xc865f0c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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oKQAAx55DDtEVK1ZkxYoVmTlzZqZNm9bptbq6ulRVVWXLli1d3rdly5bU1dVl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\nRK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xc89232c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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TRkaGCgsLNWfOHB9NHQAAAP7M63NEi4qK1NzcrNTU1JOOaW1tVUlJiZKTk10RKkkRERGK\nj49XcXFx92YLAACAPsPrI6KffvqpQkNDtW/fPj366KPau3evQkNDNXHiRN17770666yzVFNTI6fT\nqZiYGI/Hx8TEaMeOHWppaVFgYKBPXwQAAAD8j9chevDgQR07dkyPPfaY7rzzTl1yySXatWuXXnzx\nRe3Zs0f//u//rsbGRklSSEiIx+NDQkLU1tYmh8Oh8PDwDp9j3rx5stlsbstSU1NPeRQWAAAAp19B\nQYEKCgrcltXX13dqG16HaFtbm5xOp2bOnOkKw9GjRysgIEDLli1TaWmp+vfv36kn/7mcnBwlJiZ2\naxsAAADoeR0dLCwtLdWYMWO83obX54iGhoZKksaNG+e2fPz48ZKk3bt3u74R73A4PB7vcDhksVg6\nPFoKAACAM4/XITpixIhfHHPeeecpKChIVVVVHuuqqqoUFRXF+aEAAACQ1IkQTU5OliR9+OGHbss/\n+OADSdLIkSNltVqVlJSkbdu2qampyTWmtrZWZWVlrm0AAAAAXp8jOmbMGCUlJWnlypVqa2vTyJEj\n9eWXX2rlypVKSkrSqFGjJEmzZs2S3W5XZmam0tLSXBe0t9lsSklJ6bEXAgAAAP/SqTsrLVq0SPn5\n+Vq3bp3y8/M1ZMgQpaSkaObMma4x0dHRWrp0qZYvX65FixbJarUqMTFRdruduyoBAADApVMh2r9/\nf82ePVuzZ88+5bi4uDhlZ2d3a2IAAADo27w+RxQAAADwJUIUAAAARhCiAAAAMIIQBQAAgBGEKAAA\nAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEA\nAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoA\nAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEA\nAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgC\nAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIU\nAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADAiABvB5aVlemh\nhx7qcN2yZcs0cuRI158rKiqUm5ur8vJyWa1WJSQkyG63KzIysvszBgAAQJ/gdYi2mz17tuLj492W\nDRs2zPW/q6urNX/+fMXGxmrx4sVqbm5WXl6e5s6dqxUrVigsLKzbkwYAAID/63SIRkVFuR39/Lm8\nvDwFBQUpKytLwcHBkqS4uDhlZGSosLBQc+bM6fpsAQAA0Gf49BzR1tZWlZSUKDk52RWhkhQREaH4\n+HgVFxf78ukAAADgxzodojk5OZo8ebJuvPFGLViwQJ9//rlrXU1NjZxOp2JiYjweFxMTo5qaGrW0\ntHRvxgAAAOgTvP5ofuDAgZo+fbpGjx6t0NBQ1dTUqLCwUPPnz1dWVpbGjRunxsZGSVJISIjH40NC\nQtTW1iaHw6Hw8PAOn2PevHmy2Wxuy1JTU5WamtqZ1wQAAIAeVlBQoIKCArdl9fX1ndqG1yE6YsQI\njRgxwvXnUaNG6aqrrtLvfvc7LV++XOPGjevUE3ckJydHiYmJ3d4OAAAAelZHBwtLS0s1ZswYr7fR\nrXNEBw4cqAkTJuirr76S0+lUaGioJMnhcHiMdTgcslgsHR4tBQAAwJnHZ19WslgsioqKUlBQkKqq\nqjzWV1VVKSoqSoGBgb56SgAAAPixboWow+HQ+++/r9jYWAUGBspqtSopKUnbtm1TU1OTa1xtba3K\nysqUnJzc7QkDAACgb/D6HNE//elPioyMVGxsrEJDQ/X1119r9erVamhoUGZmpmvcrFmzZLfblZmZ\nqbS0NNcF7W02m1JSUnrkRQAAAMD/eB2iF110kbZs2aLXXntNTU1NCg0N1ahRo7Rw4UJdfPHFrnHR\n0dFaunSpli9frkWLFslqtSoxMVF2u527KgEAAMDF6xDtzGWU4uLilJ2d3eVJAQAAoO/z6Z2VAAAA\nAG8RogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAA\nADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUA\nAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgA\nAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQB\nAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEK\nAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhR\nAAAAGEGIAgAAwAhCFAAAAEYEdOfBb775ppYsWaIBAwaoqKjIbV1FRYVyc3NVXl4uq9WqhIQE2e12\nRUZGdmvCAAAA6Bu6fES0rq5O//Ef/6HBgwfLYrG4rauurtb8+fPV2tqqxYsXa8GCBfr66681d+5c\nNTQ0dHvSAAAA8H9dDtGlS5cqISFBY8eOVVtbm9u6vLw8BQUFKSsrS+PHj9fEiROVlZWlhoYGFRYW\ndnvSAAAA8H9dCtF33nlHn332mR588EGPCG1tbVVJSYmSk5MVHBzsWh4REaH4+HgVFxd3b8YAAADo\nEzodoocPH9azzz6rOXPmaMiQIR7ra2pq5HQ6FRMT47EuJiZGNTU1amlp6dpsAQAA0Gd0+stKzzzz\njIYNG6abbrqpw/WNjY2SpJCQEI91ISEhamtrk8PhUHh4uMf6efPmyWazuS1LTU1VampqZ6cJAACA\nHlRQUKCCggK3ZfX19Z3aRqdCdOvWrSopKdGKFSs69STeysnJUWJiYo9sGwAAAL7T0cHC0tJSjRkz\nxutteB2iTU1NeuaZZ3TbbbcpPDxcR44ckSQdP35cknTkyBFZrVaFhoZKkhwOh8c2HA6HLBZLh0dL\nAQAAcGbxOkQbGhpUX1+vwsLCDr/5ftNNN+mqq67SokWLFBQUpKqqKo8xVVVVioqKUmBgYPdmDQAA\nAL/ndYiGh4fr6aefdrtmaFtbmwoKCvTpp5/qqaeeUlhYmKxWq5KSkrRt2zbde++9rm/O19bWqqys\nTLfffrvvXwUAAAD8jtch2r9/f8XHx3ssX79+vfr166fRo0e7ls2aNUt2u12ZmZlKS0tTc3Oz8vLy\nZLPZlJKS4puZAwAAwK916xafkmSxWDzurBQdHa2lS5dq+fLlWrRokaxWqxITE2W32xUWFtbdpwQA\nAEAf0O0QfeSRR/TII494LI+Li1N2dnZ3Nw8AAIA+qsu3+AQAAAC6gxAFAACAEYQoAAAAjCBEAQAA\nYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAA\nACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAA\nABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIA\nAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQA\nAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIA\nAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwIsDb\ngbt379aKFSu0d+9e1dfXKygoSBdccIFuueUWTZ482W1sRUWFcnNzVV5eLqvVqoSEBNntdkVGRvr8\nBQAAAMA/eR2iR44cUUREhCZPnqwhQ4bo2LFj2rhxo/71X/9VBw4cUHp6uiSpurpa8+fPV2xsrBYv\nXqzm5mbl5eVp7ty5WrFihcLCwnrsxQAAAMB/eB2i8fHxio+Pd1s2YcIEffPNN1q3bp0rRPPy8hQU\nFKSsrCwFBwdLkuLi4pSRkaHCwkLNmTPHh9MHAACAv+r2OaKhoaGyWq2SpNbWVpWUlCg5OdkVoZIU\nERGh+Ph4FRcXd/fpAAAA0Ed0OkTb2trU2tqq+vp6vfbaa9q+fbtuv/12SVJNTY2cTqdiYmI8HhcT\nE6Oamhq1tLR0f9YAAADwe15/NN9u6dKlWrdunSSpX79+stvtuvnmmyVJjY2NkqSQkBCPx4WEhKit\nrU0Oh0Ph4eEdbnvevHmy2Wxuy1JTU5WamtrZaQIAAKAHFRQUqKCgwG1ZfX19p7bR6RBNT0/XjTfe\nqPr6er3//vt67rnn5HQ6fRKLOTk5SkxM7PZ2AAAA0LM6OlhYWlqqMWPGeL2NTofoueeeq3PPPVeS\nNH78eEnSCy+8oKlTpyo0NFSS5HA4PB7ncDhksVg6PFoKAACAM0+3v6x08cUXq7W1Vfv371dUVJSC\ngoJUVVXlMa6qqkpRUVEKDAzs7lMCAACgD+h2iJaVlalfv34677zzZLValZSUpG3btqmpqck1pra2\nVmVlZUpOTu7u0wEAAKCP8Pqj+SVLlujss8/WxRdfrEGDBqmxsVHvvvuu3n33Xd1xxx2uC9XPmjVL\ndrtdmZmZSktLc13Q3mazKSUlpcdeCAAAAPyL1yF66aWXav369dqwYYOOHDmi4OBgjRgxQo8++qjb\nLT6jo6O1dOlSLV++XIsWLZLValViYqLsdjt3VQIAAICL1yE6ZcoUTZkyxauxcXFxys7O7vKkAAAA\n0Pd1+xxRAAAAoCsIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQh\nCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMI\nUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhB\niAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAI\nQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABG\nEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAw\nghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMCvB1YWlqqDRs2aOfOnTp48KAGDhyoiy++WDNmzFBc\nXJzb2IqKCuXm5qq8vFxWq1UJCQmy2+2KjIz0+QsAAACAf/L6iOgbb7yhb7/9VtOnT9eTTz6pBx54\nQPX19br//vv1ySefuMZVV1dr/vz5am1t1eLFi7VgwQJ9/fXXmjt3rhoaGnrkRQAAAMD/eH1EdO7c\nuRo0aJDbsnHjxik9PV0vvfSSEhISJEl5eXkKCgpSVlaWgoODJUlxcXHKyMhQYWGh5syZ48PpAwAA\nwF95fUT05xEqScHBwbrwwgtVV1cnSWptbVVJSYmSk5NdESpJERERio+PV3FxsQ+mDAAAgL6gW19W\nOnLkiCoqKjRs2DBJUk1NjZxOp2JiYjzGxsTEqKamRi0tLd15SgAAAPQRXn8035FnnnlGTqdT6enp\nkqTGxkZJUkhIiMfYkJAQtbW1yeFwKDw8vMPtzZs3TzabzW1ZamqqUlNTuzNNAAAA+FhBQYEKCgrc\nltXX13dqG10O0RdeeEGbNm3S3LlzFRsb29XNuMnJyVFiYqJPtgUAAICe09HBwtLSUo0ZM8brbXTp\no/n8/HxG/Ys9AAATZUlEQVStWrVK99xzj2655RbX8tDQUEmSw+HweIzD4ZDFYunwaCkAAADOPJ0O\n0fz8fOXn52vWrFlKS0tzWxcVFaWgoCBVVVV5PK6qqkpRUVEKDAzs+mwBAADQZ3QqRFeuXKn8/Hxl\nZGRoxowZHuutVquSkpK0bds2NTU1uZbX1taqrKxMycnJ3Z8xAAAA+gSvzxFdvXq1XnzxRY0fP16X\nX365du7c6bb+kksukSTNmjVLdrtdmZmZSktLU3Nzs/Ly8mSz2ZSSkuLb2QMAAMBveR2iJSUlslgs\n+uijj/TRRx+5rbNYLNq0aZMkKTo6WkuXLtXy5cu1aNEiWa1WJSYmym63KywszLezBwAAgN/yOkSX\nLl3q9Ubj4uKUnZ3dpQkBAADgzNCtC9oDAAAAXUWIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgA\nAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQB\nAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEK\nAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhR\nAAAAGBFgegIAAMC/VVZWyuFwGJ1DSEiIYmNjjc4BnUeIAgCALqusrFRcXJzpaUiSKioqiFE/Q4gC\nAIAu+/FI6CpJIw3NolxSuvGjsug8QhQAAPjASEmJpicBP8OXlQAAAGAEIQoAAAAjCFEAAAAYQYgC\nAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIU\nAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADAiIDODG5qatLK\nlSu1e/duVVZWqrGxUTNnztTMmTM9xlZUVCg3N1fl5eWyWq1KSEiQ3W5XZGSkzyYPAAAA/9WpI6IN\nDQ1at26djh8/rokTJ550XHV1tebPn6/W1lYtXrxYCxYs0Ndff625c+eqoaGh25MGAACA/+vUEdGh\nQ4fqjTfekHQiSt98880Ox+Xl5SkoKEhZWVkKDg6WJMXFxSkjI0OFhYWaM2dON6cNAAAAf+fzc0Rb\nW1tVUlKi5ORkV4RKUkREhOLj41VcXOzrpwQAAIAf8nmI1tTUyOl0KiYmxmNdTEyMampq1NLS4uun\nBQAAgJ/p1Efz3mhsbJQkhYSEeKwLCQlRW1ubHA6HwsPDPdbPmzdPNpvNbVlqaqpSU1N9PU0AAAB0\nQ0FBgQoKCtyW1dfXd2obPg/R7sjJyVFiYqLpaQAAAOAXdHSwsLS0VGPGjPF6Gz7/aD40NFSS5HA4\nPNY5HA5ZLJYOj5YCAADgzOLzEI2KilJQUJCqqqo81lVVVSkqKkqBgYG+floAAAD4GZ+HqNVqVVJS\nkrZt26ampibX8traWpWVlSk5OdnXTwkAAAA/1OlzRD/88EMdO3ZM33//vSRp79692rp1qyRpwoQJ\nCgoK0qxZs2S325WZmam0tDQ1NzcrLy9PNptNKSkpvn0FAAAA8EudDtGcnBzV1tZKkiwWi7Zu3aqt\nW7fKYrHo5ZdfVkREhKKjo7V06VItX75cixYtktVqVWJioux2u8LCwnz+IgAAAOB/Oh2iP/+a/snE\nxcUpOzu70xMCAADAmcHn54gCAAAA3iBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMCIXnWveQAA/Ell\nZWWHt7Q+nUJCQhQbG2t0Dr1FeXm50efnd9F5hCgAAF1QWVmpuLg409OQJFVUVJzhAVQtSUpPTzc8\nD34XnUWIAgDQBT8eCV0laaShWZRLSjd+VNa8o///v/ld+BtCFACAbhkpKdH0JCCJ34X/4ctKAAAA\nMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAA\ngBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMCLA9AQAAADgG5WV\nlXI4HMaev7y8vFPjCVEAAIA+oLKyUnFxcaan0SmEKAAAQB/w45HQVZJGGppFkaQ/eD2aEAUAAOhT\nRkpKNPTcnftoni8rAQAAwAhCFAAAAEYQogAAADCCc0QBAAB8pLOXL+orz91VhCgAAEC3VUuS0tPT\nDc/DvxCiAAAA3Xb0//+3/1w6qTcgRAEAAHzGfy6d1BvwZSUAAAAYQYgCAADACEIUAAAARnCOKHql\nysrKn9wz15yQkBDFxsYanUNv+FkcOnRIgwcPNjqH3vC7wAm9YZ+U2Cd+iksGwV8Rouh1KisrFRcX\nZ3oaLhUVFcb+settPwvTTP4ucEJv2yfZJ7hkEPwbIYpe58cjLSYvgSGd+PZhutEjP73jZ9F+ORCT\nczD/u8AJvWOflNgn2nHJIPg3QhS9mMlLYPQ2veFyIPw+8FPsD71Lb3iPADqPLysBAADACEIUAAAA\nRhCiAAAAMIJzRAEAfovLFgH+jRAFAPghLlsE9AWEKADAD3HZIqAvIEQBAH6MyxYB/owvKwEAAMAI\nQhQAAABGEKIAAAAwgnNE4aGystLo/Zu5JAp6K9N/NyTp0KFDGjx4sLHn5+8nAF8iROGmsrJScXFx\npqcB9Dr83QAA3yNE4ebHoz1cEgX4qd71d6M3zAEAuq9HQrSpqUnPP/+8tm7dqsbGRkVHRystLU1X\nX311TzwdegSXRAE61hv+bvSGOQBA9/VIiP7xj3/Ul19+qTlz5uj888/Xpk2b9Pjjj+uHH37Qtdde\n2xNPCQAAAD/j8xD94IMPtGPHDv3hD39wHQGNj4/XgQMH9J//+Z+6+uqr1a8fX9YHAAA40/m8CIuL\ni3XWWWdp0qRJbstvuOEGHTp0iG9cAgAAQFIPHBHds2ePoqOjPY56Dh8+XJK0d+9eXXrppW7rnE6n\nJLOXBTl27Jj27Nlj7Pklqbm5Wfv371dUVJT69+9vZA4//gyKZO5csPd6wRwkqeLELIqKjO2b/D7a\n8bs4oTf8LnrDHHrLPJgDc2AOJ5tDe9v9EsuWLVvafPn0GRkZioqK0pNPPum2/NChQ0pJSdHs2bOV\nmprqtm7jxo164oknfDkNAAAAGLJw4UJNnjz5F8f1iss3jR07VgsXLtTQoUONHQkEAABA9zidTh04\ncEBjx471arzPQzQ0NFSNjY0ey9uXhYaGeqyz2WxeVTMAAAB6t8suu8zrsT7/slJMTIz27dunH374\nwW15+/lV7eeKAgAA4Mzm8xCdOHGimpqatHXrVrfl69ev15AhQzRypKm7gQAAAKA38flH8+PHj9eY\nMWOUk5Oj77//Xuedd542b96sjz/+WAsXLpTFYvH1UwIAAMAP+fxb89KPt/h899131djYqAsvvJBb\nfAIAAMBNj4QoTr+mpiatXLlSu3fvVmVlpRobGzVz5kzNnDnTY+yaNWv0+uuv68CBAwoNDdVVV12l\ne+65RwMHDnQbd+jQIf3Xf/2XPvroIx09elQXXHCBfvvb32rq1Kke2/zuu++Um5urDz74QM3Nzbro\noot09913KzHR1P2w0RuY3C/Xr1+vP//5zx3Oa82aNRo0aJDvXij8RmlpqTZs2KCdO3fq4MGDGjhw\noC6++GLNmDFDcXFxbmMrKiqUm5ur8vJyWa1WJSQkyG63KzIy0mO7r776ql577TUdOHBAQ4YM0fXX\nX6/09HRZrVa3cbxXoiMm90vT75W94vJN6L6GhgatW7dOI0aM0MSJE/Xmm292OO65557TmjVrdMcd\nd2jMmDHas2eP8vLytGvXLi1btsy1cx45ckRz585Va2ur7r33Xg0ePFibNm1Sdna2jh49qpSUFNc2\nnU6nHn74YX3//fd64IEHNGjQIK1du1aPPPKIsrOzNXr06NPyM0DvY3K/bPfII48oOjrabVlHV+/A\nmeGNN95QfX29pk+frmHDhqmhoUGrV6/W/fffrz//+c9KSEiQJFVXV2v+/PmKjY3V4sWL1dzcrLy8\nPM2dO1crVqxQWFiYa5urVq1SXl6e0tLSNHbsWO3atUvPP/+8Dh48qIcfftg1jvdKnIzJ/bKdqfdK\nQrSPGDp0qN544w1JJ/7x7+gf/Lq6Oq1Zs0a33nqrZs+eLUlKTEzUoEGD9Kc//Unr16/XtGnTJEn/\n93//p2+++Ua5ubmKjY2VdOJ6r4cOHVJeXp5uuOEG15GqoqIi7d27V88++6wuueQSSdLo0aN1zz33\nKDc3V88991yPv370Tib3y3bDhw/3OKKAM9fcuXM9jvCMGzdO6enpeumll1z/4Ofl5SkoKEhZWVkK\nDg6WJMXFxSkjI0OFhYWaM2eOpBP79X//93/rxhtv1O9+9ztJJ97/jh8/rhdeeEHTp0/XhRdeKIn3\nSpycyf2ynan3Sp9/ax69V3l5udra2nT55Ze7LZ8wYYIkadu2ba5lX3zxhcLDw13/2P907LFjx7R9\n+3bXsuLiYkVHR7veWCXJarXqH/7hH7Rr1y4dOnSoJ14O+oie2i/btbVx9hF+1NHHjMHBwbrwwgtV\nV1cnSWptbVVJSYmSk5Nd/9hLUkREhOLj41VcXOxatn37drW0tGjKlClu27zhhhvU1tbmNpb3SpyM\nyf2ynan3SkL0DNLS0iJJCgwMdFseEHDiwHhVVZXb2J+P++ljfzp2z549iomJ8Rjbvmzv3r3dmzj6\ntJ7aL9s9+uijuvbaa3XzzTfrj3/840/uGQ+ccOTIEVVUVGjYsGGSpJqaGjmdzpO+r9XU1Lj22/b9\n6edjw8PDFRYW5vb+x3slOuN07ZftTL1XEqJnkPad+YsvvnBb3v7nn94Ra/jw4fr222/17bff/uJY\nh8PR4XkkISEhHmOBn+up/XLw4MHKyMjQ73//e+Xk5Oiuu+7Sl19+qfvvv7/DYMWZ65lnnpHT6VR6\nerqkH/ej9vewnwoJCVFbW5scDodrbGBgoIKCgjocy3sluup07Zem3ysJ0TPIRRddpF/96ld65ZVX\ntHXrVh05ckRffPGFli5dqn79+qlfvx93hxtvvFEBAQF64okntHfvXjU0NGjt2rXasmWLJHE9WPhM\nT+2X48aN01133aUJEyZo1KhRuuWWW/TMM8/IYrEoLy/vtL9O9E4vvPCCNm3apPvuu8/jlA/AlNO5\nX5p+ryREzzCLFy/WZZddpscee0w33XSTHnroIU2aNEkjRozQkCFDXOOio6P1+OOPq7a2Vnfffbdu\nvfVWFRYW6r777pMkt7GhoaEd/j/59v9nxjeU8Ut6Yr/syNChQ3XZZZdp586dPfp64B/y8/O1atUq\n3XPPPbrllltcy9vfs9rfw37K4XDIYrG4jkqFhoaqpaVFTqfTY2xjY6Pb+x/vlfDG6d4vO3I63yv5\n1vwZxmaz6cknn1RDQ4MOHz6siIgI9e/fX2vXrtWvf/1rt7Hjx4/XK6+8opqaGrW2tuqCCy7Q5s2b\nJcntMiPDhw/v8PB9+7Lhw4f33AtCn9AT++WpcEQf+fn5ys/P16xZs5SWlua2LioqSkFBQSd9X4uK\ninKdl9x+Dt5XX33ldgvrw4cPq7Gx0e39j/dK/BIT++WpnI73So6InqHCwsI0fPhwnXXWWXr99dd1\n7Ngx3XrrrR2OjYqKUnR0tI4fP641a9YoNjZWo0aNcq2fOHGiqqurVV5e7lrW2tqqd955R5dcconC\nw8N7/PWgb/DlftmR/fv367PPPnP71jLOPCtXrlR+fr4yMjI0Y8YMj/VWq1VJSUnatm2bmpqaXMtr\na2tVVlam5ORk17Lx48erf//+2rBhg9s21q9fL4vFoquuusq1jPdKnIqp/bIjp/O90jpr1qzFPf4s\nOC0+/PBDffXVV6qqqtL7778vm80mi8Wiffv2KTIyUgEBAVq3bp0qKip05MgRVVZW6n/+53/08ssv\na/bs2Zo0aZLb9tpPlP7uu+9UWlqq7Oxs1dXV6YknnpDNZnONi4mJUXFxsTZu3KhBgwa57hxSXl6u\nzMxMRUREnO4fBXoRU/vlP//zP6uurk4Oh0MHDx7U+++/r+zsbLW2tmrhwoVuY3HmWL16tVasWKHx\n48dr2rRpqqurc/vPOeecI+nE0cnXX39dn3zyicLDw1VVVaXs7Gz169dP//Iv/6IBAwZIkuvLIIWF\nhTp+/Lj69eunrVu36sUXX9QNN9zgdvkc3itxMib3S9Pvldzisw9JTU1VbW2tpBOH09uvCWaxWPTy\nyy8rIiJC69at05o1a3TgwAH169dPsbGxuv3223XFFVd4bO8Pf/iDdu3apYaGBoWGhmr8+PGaNWuW\nzj33XI+x7W+oJSUlam5uVmxsrO666y5uWwdj++Vzzz2n7du3q66uTs3NzbLZbEpMTNSMGTMUFRXV\n8y8cvdL8+fP12WefdXjNRIvFok2bNrn+XFFRoeXLl+tvf/ubrFarEhMTvbqV4uDBgzVlypRT3uKT\n90r8lMn90vR7JSEKAAAAIzhHFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhR\nAAAAGEGIAgAAwAhCFAAAAEb8PylDrM3hT+2CAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0xd16866c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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FAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIA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\n",
       "text": [
        "<matplotlib.figure.Figure at 0xd36bf4c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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AwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAA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\nRAEAAGAEIQoAAAAj/j8jUvhl7StrXQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xd171ecc>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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gRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwg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\nAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0xd80cb2c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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AgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAA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\nAgAAwIj/B9846IyIMrJqAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0xd80cc2c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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AAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUA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\nXwRBMsAAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xdc6824c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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7IVSSWrZsqfbt2+vMmTOSpMrKSm3fvl3R0dGOECpJAQEBCg8PV0ZG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\nIiJSxX/aiJRvuWEdcAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xde2a4cc>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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AAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgC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\nMIIgCgAAACMIogAAADDi/wBUY+LYpWinrwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xd84020c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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AADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAA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\n",
       "text": [
        "<matplotlib.figure.Figure at 0xe2fc92c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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AAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEA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\nIwhRAAAAGEGIAgAAwIj/D/20eh9qy3+eAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0xe31696c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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EAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAET1a+oQPPvhA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\nAACAEYQoAAAAjCBEAQAAYMT/BwRXQw9o6C39AAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0xe76294c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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SAAAA0FSEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQ\nBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGE\nKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwg\nRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAE\nIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAj\nCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAY\nQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBEdG/uEPXv2aOXKldq3b58cDocuv/xy3XjjjUpISHCO\nKSgoUFpamvLz82W1WhUZGSmbzaaePXu26OQBAADguRoVops2bVJKSorGjh2r2bNn65JLLtGxY8d0\n+vRp55ijR49q5syZCgsL07x581RVVaWMjAwlJSVp2bJl8vf3b/GNAAAAgOdpcIiePHlSzz//vG67\n7TY9/PDDzuUREREu4zIyMuTt7a2UlBT5+PhIksLDw5WQkKDs7GxNmzathaYOAAAAT9bgc0TXrVun\nqqoqxcbGXnBMTU2Ntm/frujoaGeESlJQUJAiIiKUk5PTvNkCAACg3WjwEdHPPvtMfn5++uKLLzR7\n9mwdOXJEfn5+Gj16tKZPn65LL71UxcXFcjgcCg0NdXt+aGiodu7cqerqanl5ebXoRgAAAMDzNDhE\nT506pbNnz+rpp5/WvffeqyuuuEL79+/X8uXLdfjwYb3wwgsqLy+XJPn6+ro939fXV7W1tbLb7QoM\nDKz3NWbMmKGAgACXZbGxsT95FBYAAAC/vKysLGVlZbksKy0tbdQ6GhyitbW1cjgcmjJlijMMhw4d\nqo4dO+qll15Sbm6uOnXq1KgX/7HFixcrKiqqWesAAABA66vvYGFubq6GDRvW4HU0+BxRPz8/SdLw\n4cNdlo8YMUKSdPDgQec34u12u9vz7Xa7LBZLvUdLAQAAcPFpcIgOGDDgZ8f06tVL3t7eKioqcnus\nqKhIwcHBnB8KAAAASY0I0ejoaEnSxx9/7LL8o48+kiQNGjRIVqtVo0aN0rZt21RZWekcU1JSory8\nPOc6AAAAgAafIzps2DCNGjVKK1asUG1trQYNGqQDBw5oxYoVGjVqlIYMGSJJSkxMlM1mU3JysuLi\n4pwXtA8ICFBMTEyrbQgAAAA8S6PurDR37lxlZmZq7dq1yszMVLdu3RQTE6MpU6Y4x4SEhCg1NVXp\n6emaO3eurFaroqKiZLPZuKsSAAAAnBoVop06ddLUqVM1derUnxwXHh6uRYsWNWtiAAAAaN8afI4o\nAAAA0JIIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMI\nUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhB\niAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAI\nQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABG\nEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAw\nghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACA\nEYQoAAAAjCBEAQAAYAQhCgAAACM6NnRgXl6eHnnkkXofe+mllzRo0CDnrwsKCpSWlqb8/HxZrVZF\nRkbKZrOpZ8+ezZ8xAAAA2oUGh2idqVOnKiIiwmVZ3759nf999OhRzZw5U2FhYZo3b56qqqqUkZGh\npKQkLVu2TP7+/s2eNAAAADxfo0M0ODjY5ejnj2VkZMjb21spKSny8fGRJIWHhyshIUHZ2dmaNm1a\n02cLAACAdqNFzxGtqanR9u3bFR0d7YxQSQoKClJERIRycnJa8uUAAADgwRodoosXL9a4ceM0YcIE\nzZo1S3v27HE+VlxcLIfDodDQULfnhYaGqri4WNXV1c2bMQAAANqFBn8037lzZ02aNElDhw6Vn5+f\niouLlZ2drZkzZyolJUXDhw9XeXm5JMnX19ft+b6+vqqtrZXdbldgYGC9rzFjxgwFBAS4LIuNjVVs\nbGxjtgkAAACtLCsrS1lZWS7LSktLG7WOBofogAEDNGDAAOevhwwZomuvvVa///3vlZ6eruHDhzfq\nheuzePFiRUVFNXs9AAAAaF31HSzMzc3VsGHDGryOZp0j2rlzZ40cOVKHDh2Sw+GQn5+fJMlut7uN\ntdvtslgs9R4tBQAAwMWnxb6sZLFYFBwcLG9vbxUVFbk9XlRUpODgYHl5ebXUSwIAAMCDNStE7Xa7\nPvzwQ4WFhcnLy0tWq1WjRo3Stm3bVFlZ6RxXUlKivLw8RUdHN3vCAAAAaB8afI7os88+q549eyos\nLEx+fn768ssvtXr1apWVlSk5Odk5LjExUTabTcnJyYqLi3Ne0D4gIEAxMTGtshEAAADwPA0O0f79\n+2vLli164403VFlZKT8/Pw0ZMkRz5szRwIEDneNCQkKUmpqq9PR0zZ07V1arVVFRUbLZbNxVCQAA\nAE4NDtHGXEYpPDxcixYtavKkAAAA0P616J2VAAAAgIYiRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADA\nCEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAA\nRhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAA\nMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAA\ngBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAA\nAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEA\nAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIzo2Jwnv/POO3r+\n+ed1ySWXaN26dS6PFRQUKC0tTfn5+bJarYqMjJTNZlPPnj2bNWEAAAC0D00+Inry5En913/9l7p2\n7SqLxeLy2NGjRzVz5kzV1NRo3rx5mjVrlr788kslJSWprKys2ZMGAACA52tyiKampioyMlJXX321\namtrXR7LyMiQt7e3UlJSNGLECI0ePVopKSkqKytTdnZ2sycNAAAAz9ekEN24caN2796thx9+2C1C\na2pqtH37dkVHR8vHx8e5PCgoSBEREcrJyWnejAEAANAuNDpEv/76a7344ouaNm2aunXr5vZ4cXGx\nHA6HQkND3R4LDQ1VcXGxqqurmzZbAAAAtBuN/rLSkiVL1LdvX9122231Pl5eXi5J8vX1dXvM19dX\ntbW1stvtCgwMdHt8xowZCggIcFkWGxur2NjYxk4TAAAArSgrK0tZWVkuy0pLSxu1jkaF6NatW7V9\n+3YtW7asUS/SUIsXL1ZUVFSrrBsAAAAtp76Dhbm5uRo2bFiD19HgEK2srNSSJUt05513KjAwUBUV\nFZKkc+fOSZIqKipktVrl5+cnSbLb7W7rsNvtslgs9R4tBQAAwMWlwSFaVlam0tJSZWdn1/vN99tu\nu03XXnut5s6dK29vbxUVFbmNKSoqUnBwsLy8vJo3awAAAHi8BodoYGCg/vKXv7hcM7S2tlZZWVn6\n7LPP9Nxzz8nf319Wq1WjRo3Stm3bNH36dOc350tKSpSXl6e77rqr5bcCAAAAHqfBIdqpUydFRES4\nLV+/fr06dOigoUOHOpclJibKZrMpOTlZcXFxqqqqUkZGhgICAhQTE9MyMwcAAIBHa9YtPiXJYrG4\n3VkpJCREqampSk9P19y5c2W1WhUVFSWbzSZ/f//mviQAAADagWaH6OOPP67HH3/cbXl4eLgWLVrU\n3NUDAACgnWryLT4BAACA5iBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAF\nAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQo\nAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBE\nAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQh\nCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMI\nUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhB\niAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjOjY0IEHDx7UsmXLdOTIEZWWlsrb21u9e/fW\nxIkTNW7cOJexBQUFSktLU35+vqxWqyIjI2Wz2dSzZ88W3wAAAAB4pgaHaEVFhYKCgjRu3Dh169ZN\nZ8+e1aZNm/Sf//mfOnHihOLj4yVJR48e1cyZMxUWFqZ58+apqqpKGRkZSkpK0rJly+Tv799qGwMA\nAADP0eAQjYiIUEREhMuykSNH6vjx41q7dq0zRDMyMuTt7a2UlBT5+PhIksLDw5WQkKDs7GxNmzat\nBacPAAAAT9Xsc0T9/PxktVolSTU1Ndq+fbuio6OdESpJQUFBioiIUE5OTnNfDgAAAO1Eo0O0trZW\nNTU1Ki0t1RtvvKEdO3borrvukiQVFxfL4XAoNDTU7XmhoaEqLi5WdXV182cNAAAAj9fgj+brpKam\nau3atZKkDh06yGaz6Xe/+50kqby8XJLk6+vr9jxfX1/V1tbKbrcrMDCw3nXPmDFDAQEBLstiY2MV\nGxvb2GkCAACgFWVlZSkrK8tlWWlpaaPW0egQjY+P14QJE1RaWqoPP/xQS5culcPhaJFYXLx4saKi\nopq9HgAAALSu+g4W5ubmatiwYQ1eR6NDtHv37urevbskacSIEZKkV155RePHj5efn58kyW63uz3P\nbrfLYrHUe7QUAAAAF59mf1lp4MCBqqmp0bFjxxQcHCxvb28VFRW5jSsqKlJwcLC8vLya+5IAAABo\nB5odonl5eerQoYN69eolq9WqUaNGadu2baqsrHSOKSkpUV5enqKjo5v7cgAAAGgnGvzR/PPPP6/L\nLrtMAwcOVJcuXVReXq733ntP7733nu655x7nheoTExNls9mUnJysuLg45wXtAwICFBMT02obAgAA\nAM/S4BC98sortX79em3YsEEVFRXy8fHRgAEDNHv2bJdbfIaEhCg1NVXp6emaO3eurFaroqKiZLPZ\nuKsSAAAAnBocojfffLNuvvnmBo0NDw/XokWLmjwpAAAAtH/NPkcUAAAAaApCFAAAAEYQogAAADCC\nEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIAR\nhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACM\nIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABg\nBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAA\nIwhRAACQWbL7AAAVwElEQVQAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABg\nBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAA\nIwhRAAAAGEGIAgAAwIiODR2Ym5urDRs2aN++fTp16pQ6d+6sgQMHavLkyQoPD3cZW1BQoLS0NOXn\n58tqtSoyMlI2m009e/Zs8Q0AAACAZ2rwEdG3335bX331lSZNmqQFCxbooYceUmlpqR588EHt2rXL\nOe7o0aOaOXOmampqNG/ePM2aNUtffvmlkpKSVFZW1iobAQAAAM/T4COiSUlJ6tKli8uy4cOHKz4+\nXitXrlRkZKQkKSMjQ97e3kpJSZGPj48kKTw8XAkJCcrOzta0adNacPoAAADwVA0+IvrjCJUkHx8f\n9enTRydPnpQk1dTUaPv27YqOjnZGqCQFBQUpIiJCOTk5LTBlAAAAtAfN+rJSRUWFCgoK1LdvX0lS\ncXGxHA6HQkND3caGhoaquLhY1dXVzXlJAAAAtBMN/mi+PkuWLJHD4VB8fLwkqby8XJLk6+vrNtbX\n11e1tbWy2+0KDAysd30zZsxQQECAy7LY2FjFxsY2Z5oAAABoYVlZWcrKynJZVlpa2qh1NDlEX3nl\nFW3evFlJSUkKCwtr6mpcLF68WFFRUS2yLgAAALSe+g4W5ubmatiwYQ1eR5M+ms/MzNSrr76qBx54\nQBMnTnQu9/PzkyTZ7Xa359jtdlkslnqPlgIAAODi0+gQzczMVGZmphITExUXF+fyWHBwsLy9vVVU\nVOT2vKKiIgUHB8vLy6vpswUAAEC70agQXbFihTIzM5WQkKDJkye7PW61WjVq1Cht27ZNlZWVzuUl\nJSXKy8tTdHR082cMAACAdqHB54iuXr1ay5cv14gRI3TNNddo3759Lo9fccUVkqTExETZbDYlJycr\nLi5OVVVVysjIUEBAgGJiYlp29gAAAPBYDQ7R7du3y2Kx6JNPPtEnn3zi8pjFYtHmzZslSSEhIUpN\nTVV6errmzp0rq9WqqKgo2Ww2+fv7t+zsAQAA4LEaHKKpqakNXml4eLgWLVrUpAkBAADg4tCsC9oD\nAAAATUWIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGI\nAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhC\nFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQ\nogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCC\nEAUAAIARhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIAR\nhCgAAACMIEQBAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACM\nIEQBAABgBCEKAAAAIwhRAAAAGNGxMYMrKyu1YsUKHTx4UIWFhSovL9eUKVM0ZcoUt7EFBQVKS0tT\nfn6+rFarIiMjZbPZ1LNnzxabPAAAADxXo46IlpWVae3atTp37pxGjx59wXFHjx7VzJkzVVNTo3nz\n5mnWrFn68ssvlZSUpLKysmZPGgAAAJ6vUUdEe/ToobffflvS+Sh955136h2XkZEhb29vpaSkyMfH\nR5IUHh6uhIQEZWdna9q0ac2cNgAAADxdi58jWlNTo+3btys6OtoZoZIUFBSkiIgI5eTktPRLAgAA\nwAM16ohoQxQXF8vhcCg0NNTtsdDQUO3cuVPV1dXy8vJq6ZcGAAAGFBYWym63G53D6dOn1bVrV6Nz\n8PX1VVhYmNE5eJoWD9Hy8nJJ538zfszX11e1tbWy2+0KDAx0e3zGjBkKCAhwWRYbG6vY2NiWniYA\nAGgBhYWFCg8PNz2NNqOgoOCiidGsrCxlZWW5LCstLW3UOlo8RJtj8eLFioqKMj0NAADQQN8fCX1V\n0iBDs1gn6UnDc8iXFG/8yPAvqb6Dhbm5uRo2bFiD19HiIern5ydJ9f5G2O12WSyWeo+WAgAATzZI\nkqmDSfltYA5oihb/slJwcLC8vb1VVFTk9lhRUZGCg4M5PxQAAAAtH6JWq1WjRo3Stm3bVFlZ6Vxe\nUlKivLw8RUdHt/RLAgAAwAM1+qP5jz/+WGfPntW3334rSTpy5Ii2bt0qSRo5cqS8vb2VmJgom82m\n5ORkxcXFqaqqShkZGQoICFBMTEzLbgEAAAA8UqNDdPHixSopKZEkWSwWbd26VVu3bpXFYtGqVasU\nFBSkkJAQpaamKj09XXPnzpXValVUVJRsNpv8/f1bfCMAAADagvz8/J8f1Io87RJSjQ7RH39N/0LC\nw8O1aNGiRk8IAADA8xyVJMXHxxueh2ddQqpNXb4JAADAM33zr39zCanGIEQBAABaDJeQaowW/9Y8\nAAAA0BCEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGE\nKAAAAIzgFp8AgEYpLCxsE/ey9vX1VVhYmOlpAGgGQhQA0GCFhYUKDw83PQ2ngoICYhTwYIQoAKDB\nvj8S+qqkQQZnki8pvk0cmQXQdIQoAKAJBkmKMj0JAB6OLysBAADACEIUAAAARhCiAAAAMIJzRAEA\naKK2cCkrLmMFT0aIAgDQBG3pUlZcxgqeihAFAKAJ2salrLiMFTwbIQoAQLNwKSugqfiyEgAAAIwg\nRAEAAGAEIQoAAAAjOEcUAAAPl5+ff1G+NjwfIQoAgMc6KkmKj483PA+gaQhRAAA81jf/+rfJS0it\nk/SkodeGpyNEAQDweCYvIcVH82g6vqwEAAAAIwhRAAAAGEGIAgAAwAjOEQUAeCwuWwS486Q/F4Qo\nAMADcdkiwJ3n/bkgRAEAHojLFgHuPO/PBSEKAPBgXLYIcOc5fy74shIAAACMIEQBAABgBCEKAAAA\nIzhHFAA8SGFhoex2u7HX55JFAFoSIQoAHqKwsFDh4eGmpwEALYYQBQAP8f2RUM+5NAsA/BRCFAA8\njudcmgUAfgpfVgIAAIARhCgAAACMIEQBAABgBOeIwo3py8NIkq+vr8LCwozOAfgx0382uHQSgPaG\nEIWLtnR5mIKCAmIUbUZb+rMBAO0FIQoXbePyMPmS4o0flQV+qG382eDSSQDaF0IUF2Dy8jBAW8al\nkwCgpfBlJQAAABhBiAIAAMAIQhQAAABGcI4o2qy2cKmatnAZKdOXDJL4OUhtY38EgPamTYXop59+\nqvLycqNziIiIUEBAgNE54KgkKT4+3vA8zjN5Gam2dMkgfg4AgJbWpkJ0+vTppqegqVOnKj093fQ0\nLnLf/OvfJi+TI7WFy0i1jUsG8XM4j0snAUBLa5UQrays1Msvv6ytW7eqvLxcISEhiouL09ixY3/m\nmXdLerY1ptQgHTrcq2+//dbY6+PHuITU9/hZnMelkwCgPWmVEH3qqad04MABTZs2Tf/v//0/bd68\nWc8884y+++473XDDDT/xTH9JA1pjSg1isVxq7LUBAAAuNi0eoh999JF27typJ5980nkENCIiQidO\nnNB///d/a+zYserQgS/rAwAAXOxavAhzcnJ06aWXasyYMS7Lb7nlFp0+fZpvngIAAEBSKxwRPXz4\nsEJCQtyOevbr10+SdOTIEV155ZUujzkcjn/91ylJuS09pQY6q+++K9Hhww6tXLnSyAyqqqp07Ngx\nBQcHq1OnTkbmcPjw4X/91zqZOyfugzYwB0kqOD+LdeuM/Q9U2/j94OdwXlvYL5lD25oHc2AOzOFC\nc/i+7X6aZcuWLbUt+fIJCQkKDg7WggULXJafPn1aMTExmjp1qmJjY10e27Rpk+bPn9+S0wAAAIAh\nc+bM0bhx4352XJu4fNPVV1+tOXPmqEePHsaOBAIAAKB5HA6HTpw4oauvvrpB41s8RP38/Oq9KH3d\nMj8/P7fHAgICGlTNAAAAaNsGDx7c4LEt/mWl0NBQffHFF/ruu+9clted41V3rigAAAAubi0eoqNH\nj1ZlZaW2bt3qsnz9+vXq1q2bBg0yeaccAAAAtBUt/tH8iBEjNGzYMC1evFjffvutevXqpXfffVef\nfvqp5syZI4vF0tIvCQAAAA/U4t+al76/xed7772n8vJy9enTp4G3+AQAAMDFolVCFL+8yspKrVix\nQgcPHlRhYaHKy8s1ZcoUTZkyxW3smjVr9Oabb+rEiRPy8/PTtddeqwceeECdO3d2GXf69Gn99a9/\n1SeffKJvvvlGvXv31h133KHx48e7rfPMmTNKS0vTRx99pKqqKvXv31/333+/oqK4P/rFzOR+uX79\nei1cuLDeea1Zs0ZdunRpuQ2Fx8jNzdWGDRu0b98+nTp1Sp07d9bAgQM1efJkhYeHu4wtKChQWlqa\n8vPzZbVaFRkZKZvNpp49e7qt97XXXtMbb7yhEydOqFu3brrpppsUHx8vq9XqMo73StTH5H5p+r2y\nTVy+Cc1XVlamtWvXasCAARo9erTeeeedesctXbpUa9as0T333KNhw4bp8OHDysjI0P79+/XSSy85\nd86KigolJSWppqZG06dPV9euXbV582YtWrRI33zzjWJiYpzrdDgcevTRR/Xtt9/qoYceUpcuXfT6\n66/r8ccf16JFizR06NBf5GeAtsfkflnn8ccfV0hIiMuy+q7egYvD22+/rdLSUk2aNEl9+/ZVWVmZ\nVq9erQcffFALFy5UZGSkJOno0aOaOXOmwsLCNG/ePFVVVSkjI0NJSUlatmyZ/P39net89dVXlZGR\nobi4OF199dXav3+/Xn75ZZ06dUqPPvqocxzvlbgQk/tlHVPvlYRoO9GjRw+9/fbbks7/5V/fX/gn\nT57UmjVrdPvtt2vq1KmSpKioKHXp0kXPPvus1q9fr1tvvVWS9NZbb+n48eNKS0tTWFiYpPPXez19\n+rQyMjJ0yy23OI9UrVu3TkeOHNGLL76oK664QpI0dOhQPfDAA0pLS9PSpUtbffvRNpncL+v069fP\n7YgCLl5JSUluR3iGDx+u+Ph4rVy50vkXfkZGhry9vZWSkiIfHx9JUnh4uBISEpSdna1p06ZJOr9f\n/+1vf9OECRP0+9//XtL5979z587plVde0aRJk9SnTx9JvFfiwkzul3VMvVe2+Lfm0Xbl5+ertrZW\n11xzjcvykSNHSpK2bdvmXPb5558rMDDQ+Zf9D8eePXtWO3bscC7LyclRSEiI841VkqxWq377299q\n//79On36dGtsDtqJ1tov69TWcvYRvlffx4w+Pj7q06ePTp48KUmqqanR9u3bFR0d7fzLXpKCgoIU\nERGhnJwc57IdO3aourpaN998s8s6b7nlFtXW1rqM5b0SF2Jyv6xj6r2SEL2IVFdXS5K8vLxclnfs\neP7AeFFRkcvYH4/74XN/OPbw4cMKDQ11G1u37MiRI82bONq11tov68yePVs33HCDfve73+mpp576\nwX3rgfMqKipUUFCgvn37SpKKi4vlcDgu+L5WXFzs3G/r9qcfjw0MDJS/v7/L+x/vlWiMX2q/rGPq\nvZIQvYjU7cyff/65y/K6X//wjlj9+vXTV199pa+++upnx9rt9nrPI/H19XUbC/xYa+2XXbt2VUJC\ngh577DEtXrxY9913nw4cOKAHH3yw3mDFxWvJkiVyOByKj4+X9P1+VPce9kO+vr6qra2V3W53jvXy\n8pK3t3e9Y3mvRFP9Uvul6fdKQvQi0r9/f1111VX6+9//rq1bt6qiokKff/65UlNT1aFDB3Xo8P3u\nMGHCBHXs2FHz58/XkSNHVFZWptdff11btmyRJK4HixbTWvvl8OHDdd9992nkyJEaMmSIJk6cqCVL\nlshisSgjI+MX3060Ta+88oo2b96sP/zhD26nfACm/JL7pen3SkL0IjNv3jwNHjxYTz/9tG677TY9\n8sgjGjNmjAYMGKBu3bo5x4WEhOiZZ55RSUmJ7r//ft1+++3Kzs7WH/7wB0lyGevn51fv/8nX/Z8Z\n31DGz2mN/bI+PXr00ODBg7Vv375W3R54hszMTL366qt64IEHNHHiROfyuvesuvewH7Lb7bJYLM6j\nUn5+fqqurpbD4XAbW15e7vL+x3slGuKX3i/r80u+V/Kt+YtMQECAFixYoLKyMn399dcKCgpSp06d\n9Prrr+u6665zGTtixAj9/e9/V3FxsWpqatS7d2+9++67kuRymZF+/frVe/i+blm/fv1ab4PQLrTG\nfvlTOKKPzMxMZWZmKjExUXFxcS6PBQcHy9vb+4Lva8HBwc7zkuvOwTt06JDLLay//vprlZeXu7z/\n8V6Jn2Niv/wpv8R7JUdEL1L+/v7q16+fLr30Ur355ps6e/asbr/99nrHBgcHKyQkROfOndOaNWsU\nFhamIUOGOB8fPXq0jh49qvz8fOeympoabdy4UVdccYUCAwNbfXvQPrTkflmfY8eOaffu3S7fWsbF\nZ8WKFcrMzFRCQoImT57s9rjVatWoUaO0bds2VVZWOpeXlJQoLy9P0dHRzmUjRoxQp06dtGHDBpd1\nrF+/XhaLRddee61zGe+V+Cmm9sv6/JLvldbExMR5rf4q+EV8/PHHOnTokIqKivThhx8qICBAFotF\nX3zxhXr27KmOHTtq7dq1KigoUEVFhQoLC/WPf/xDq1at0tSpUzVmzBiX9dWdKH3mzBnl5uZq0aJF\nOnnypObPn6+AgADnuNDQUOXk5GjTpk3q0qWL884h+fn5Sk5OVlBQ0C/9o0AbYmq//OMf/6iTJ0/K\nbrfr1KlT+vDDD7Vo0SLV1NRozpw5LmNx8Vi9erWWLVumESNG6NZbb9XJkydd/rn88sslnT86+eab\nb2rXrl0KDAxUUVGRFi1apA4dOuiJJ57QJZdcIknOL4NkZ2fr3Llz6tChg7Zu3arly5frlltucbl8\nDu+VuBCT+6Xp90pu8dmOxMbGqqSkRNL5w+l11wSzWCxatWqVgoKCtHbtWq1Zs0YnTpxQhw4dFBYW\nprvuuku//vWv3db35JNPav/+/SorK5Ofn59GjBihxMREde/e3W1s3Rvq9u3bVVVVpbCwMN13333c\ntg7G9sulS5dqx44dOnnypKqqqhQQEKCoqChNnjxZwcHBrb/haJNmzpyp3bt313vNRIvFos2bNzt/\nXVBQoPT0dO3du1dWq1VRUVENupVi165ddfPNN//kLT55r8QPmdwvTb9XEqIAAAAwgnNEAQAAYAQh\nCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYMT/By1rv8jS\n5Lu+AAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0xe762b6c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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e0e7du3XTTTdJksrLy+V0OhUREeH1uIiICJWXl6uxsbHjowYAAEC31+q35ptl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\nhCgAAACM+P/CZE5elxFyvgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xec108cc>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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AEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACA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\nGwDURKxeuKUAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xee50c8c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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HFwtLS0sVHx/v9T68vkc0KChIkjRlyhS35QkJCZKkjz/+2PWNeIfD4fF4h8Mhi8XS4dVS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\nIEQBAABgxP8DhaLWNc460csAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xe9c37ac>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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qLAAAb7ylS5dm6dKlHbZt2bJlj47R7RBta2tLS0tLpk2b1h6Go0aNyiGHHJLrrrsuq1ev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\nFACAIoQoAABF/H/62j/aWlsZOwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xf2b6d8c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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WpuLiYtXV1Z1abwEAAHDGaPLDSs8995z69Omjm266yWN9ZWWlJMnf39+tzt/f\nXw6HQ3a7XUFBQW7106dPl81mcymLi4tTXFxcU7sJAACAVpSZmanMzEyXsvLy8iato0lBdO3atcrJ\nyVFaWlqTNtJYCxYsUHR0dKusGwAAAC3H02Bhbm6uhgwZ0uh1NDqIVldX67nnntNtt92moKAgVVVV\nSZKOHTsmSaqqqpLValVAQIAkyW63u63DbrfLYrF4HC0FAABA+9LoIFpRUaHy8nJlZWV5fPL9pptu\n0mWXXabZs2fL19dXRUVFbm2KiooUEhKijh07Nq/XAAAAaPMaHUSDgoL017/+1WXOUIfDoczMTH3x\nxRf6y1/+osDAQFmtVo0YMULr1q3T1KlTnU/Ol5aWKi8vT7fffnvL7wUAAADanEYH0U6dOikyMtKt\nfMWKFfLx8dHgwYOdZYmJiUpKStLMmTM1YcIE1dTUKD09XTabTePHj2+ZngMAAKBNa9YrPiXJYrG4\nvVkpNDRU8+fP16JFizR79mxZrVZFR0crKSlJgYGBzd0kAAAAzgDNDqKPP/64Hn/8cbfyiIgIpaSk\nNHf1AAAAOEOd8is+AQAAgOYgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwg\niAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADA\nCIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAA\nAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgC\nAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiC\nKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACM\nIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACM6NDYhrt371ZaWpr27t2r8vJy\n+fr66rzzztMtt9yiMWPGuLQtKChQamqq8vPzZbVaFRUVpaSkJPXs2bPFdwAAAABtU6ODaFVVlYKD\ngzVmzBh169ZNR48e1ccff6z//u//VklJieLj4yVJ+/bt04wZMxQeHq45c+aopqZG6enpmjZtmtLS\n0hQYGNhzPr1YAAAZHElEQVRqOwMAAIC2o9FBNDIyUpGRkS5lw4cP1w8//KBly5Y5g2h6erp8fX2V\nnJwsPz8/SVJERIQSEhKUlZWlKVOmtGD3AQAA0FY1+x7RgIAAWa1WSVJ9fb1ycnIUGxvrDKGSFBwc\nrMjISK1fv765mwMAAMAZoslB1OFwqL6+XuXl5Xr33Xe1ZcsW3X777ZKk4uJi1dbWKiwszG25sLAw\nFRcXq66urvm9BgAAQJvX6K/mG8yfP1/Lli2TJPn4+CgpKUk333yzJKmyslKS5O/v77acv7+/HA6H\n7Ha7goKCPK57+vTpstlsLmVxcXGKi4trajcBAADQijIzM5WZmelSVl5e3qR1NDmIxsfH64YbblB5\nebk2btyoF198UbW1tS0SFhcsWKDo6OhmrwcAAACty9NgYW5uroYMGdLodTQ5iJ577rk699xzJUkx\nMTGSpFdffVXXXXedAgICJEl2u91tObvdLovF4nG0FAAAAO1Psx9WOv/881VfX6/9+/crJCREvr6+\nKioqcmtXVFSkkJAQdezYsbmbBAAAwBmg2UE0Ly9PPj4+6tWrl6xWq0aMGKF169apurra2aa0tFR5\neXmKjY1t7uYAAABwhmj0V/Pz5s3TOeeco/PPP19dunRRZWWl1qxZozVr1uiOO+5wTlSfmJiopKQk\nzZw5UxMmTHBOaG+z2TR+/PhW2xEAAAC0LY0OohdeeKFWrFihlStXqqqqSn5+furfv7+eeOIJl1d8\nhoaGav78+Vq0aJFmz54tq9Wq6OhoJSUl8VYlAAAAODU6iI4dO1Zjx45tVNuIiAilpKSccqcAAABw\n5mv2PaIAAADAqSCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiC\nKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACM\nIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAA\nwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigA\nAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCI\nAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAI\ngigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIzo0NiGubm5WrlypXbu3KkDBw6oc+fOOv/8\n83XXXXcpIiLCpW1BQYFSU1OVn58vq9WqqKgoJSUlqWfPni2+AwAAAGibGj0i+v777+vHH3/UuHHj\nNHfuXD344IMqLy/X/fffr23btjnb7du3TzNmzFB9fb3mzJmjxx57TN9//72mTZumioqKVtkJAAAA\ntD2NHhGdNm2aunTp4lI2bNgwxcfH6/XXX1dUVJQkKT09Xb6+vkpOTpafn58kKSIiQgkJCcrKytKU\nKVNasPsAAABoqxo9IvrLECpJfn5+6t27t8rKyiRJ9fX1ysnJUWxsrDOESlJwcLAiIyO1fv36Fugy\nAAAAzgTNelipqqpKBQUF6tOnjySpuLhYtbW1CgsLc2sbFham4uJi1dXVNWeTAAAAOEM0+qt5T557\n7jnV1tYqPj5eklRZWSlJ8vf3d2vr7+8vh8Mhu92uoKAgj+ubPn26bDabS1lcXJzi4uKa000AAAC0\nsMzMTGVmZrqUlZeXN2kdpxxEX331Va1atUrTpk1TeHj4qa7GxYIFCxQdHd0i6wIAAEDr8TRYmJub\nqyFDhjR6Haf01XxGRoaWLFmiSZMm6ZZbbnGWBwQESJLsdrvbMna7XRaLxeNoKQAAANqfJgfRjIwM\nZWRkKDExURMmTHCpCwkJka+vr4qKityWKyoqUkhIiDp27HjqvQUAAMAZo0lB9LXXXlNGRoYSEhJ0\n1113udVbrVaNGDFC69atU3V1tbO8tLRUeXl5io2NbX6PAQAAcEZo9D2ib731lhYvXqyYmBhdfPHF\n2rlzp0v9BRdcIElKTExUUlKSZs6cqQkTJqimpkbp6emy2WwaP358y/YeAAAAbVajg2hOTo4sFos2\nb96szZs3u9RZLBatWrVKkhQaGqr58+dr0aJFmj17tqxWq6Kjo5WUlKTAwMCW7T0AAADarEYH0fnz\n5zd6pREREUpJSTmlDgEAAKB9aNaE9gAAAMCpIogCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIA\nAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIo\nAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwg\niAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADA\nCIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAA\nAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgC\nAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjOjQlMbV1dV6\n7bXXtHv3bhUWFqqyslITJ07UxIkT3doWFBQoNTVV+fn5slqtioqKUlJSknr27NlinQcAAEDb1aQR\n0YqKCi1btkzHjh3TyJEjT9pu3759mjFjhurr6zVnzhw99thj+v777zVt2jRVVFQ0u9MAAABo+5o0\nItqjRw+9//77ko6H0uXLl3tsl56eLl9fXyUnJ8vPz0+SFBERoYSEBGVlZWnKlCnN7DYAAADauha/\nR7S+vl45OTmKjY11hlBJCg4OVmRkpNavX9/SmwQAAEAb1OJBtLi4WLW1tQoLC3OrCwsLU3Fxserq\n6lp6swAAAGhjmvTVfGNUVlZKkvz9/d3q/P395XA4ZLfbFRQU5FY/ffp02Ww2l7K4uDjFxcW1dDcB\nAADQDJmZmcrMzHQpKy8vb9I6WjyINseCBQsUHR1tuhsAAAD4DZ4GC3NzczVkyJBGr6PFv5oPCAiQ\nJNntdrc6u90ui8XicbQUAAAA7UuLB9GQkBD5+vqqqKjIra6oqEghISHq2LFjS28WAAAAbUyLB1Gr\n1aoRI0Zo3bp1qq6udpaXlpYqLy9PsbGxLb1JAAAAtEFNvkf0s88+09GjR3XkyBFJ0t69e7V27VpJ\n0vDhw+Xr66vExEQlJSVp5syZmjBhgmpqapSeni6bzabx48e37B4AAACgTWpyEF2wYIFKS0slSRaL\nRWvXrtXatWtlsVj0xhtvKDg4WKGhoZo/f74WLVqk2bNny2q1Kjo6WklJSQoMDGzxnQAAAEDb0+Qg\n+svH9E8mIiJCKSkpTe4QAAAA2ocWv0cUAAAAaAyCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIo\nAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjOhgugMAAODUFRYWym63\nG+2Dv7+/wsPDjfYBbRNBFACANqqwsFARERGmuyFJKigoIIyiyQiiAAC0Uf8eCV0iaYChXuRLijc+\nKou2iSAKAECbN0BStOlOAE3Gw0oAAAAwgiAKAAAAIwiiAAAAMIJ7RAEAQLPl5+cb3T5TSLVNBFEA\nANAM+yRJ8fHxhvvBFFJtEUEUAAA0w0//91+mkELTEUQBAEALYAopNB0PKwEAAMAIgigAAACMIIgC\nAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjOAVnwCANqmw\nsND4u8X9/f0VHh5utA9AW0YQBQC0OYWFhYqIiDDdDUlSQUEBYRQ4RQRRAECb8++R0CWSBhjqRb6k\neOOjskBbRhAFALRhAyRFm+4EgFPEw0oAAAAwgiAKAAAAIwiiAAAAMIJ7RAEATeIN0ybl5+cb3f6J\nTPbFm46DNzB9PLxhOi/T/z6b+hkQRAEAjeZN0yaZt0+SFB8fb7gf8KbPwuR0Xm3x3ydBFADQaN4x\nbZIkZUv6k8HtS9JP//dfk8fCG46DN/CGz8L8dF7e8e+zaeckQRQAcApMT5vkTV9JmzwW3nQcvIHp\n89JbtJ1zkoeVAAAAYARBFAAAAEYQRAEAAGAE94gCv8L0NBiSdPDgQXXt2tVoH7xhShJv4A3nA58F\n4N2YzqtpvCqIfv7556qsrDTah8jISNlsNqN9gHdoi9NgtCaTU5J4A286H9r7ZwF4J++ZQqot8aog\nOnXqVNNd0OTJk7Vo0SLT3YAX8K5pMNr3lCTewDvOBz4LwHt5wxRSbW86L68KotJ/SHra2NZ9fO7U\nkSNHjG0f3sobpsFgShLvwWcB4Nd4w8+MtsPLgmigpP7Gtm6xnG1s2wAAAO0NT80DAADACIIoAAAA\njPCyr+bNcjiO6NChQ8rNzTXWB6bqATwzPXWSN02LwvQwAM4UBFGnQv3882Z98IH0wQcfmO6McUwP\nA2/iTVMnmcX0MADOLARRJ2+YmoWpegBPvGPqJG+YFoXpYQCcWVoliFZXV+uVV17R2rVrVVlZqdDQ\nUE2YMEGjRo1qjc21MG+YdoHpYQDPvOHfpzfgOAA4M7RKEP3zn/+sr7/+WlOmTNHvfvc7rVq1Sk89\n9ZR+/vlnXXnlla2xSQAAALQxLR5EN23apK1bt+pPf/qTcwQ0MjJSJSUleumllzRq1Cj5+PCwPgAA\nQHvX4olw/fr1Ovvss3X55Ze7lF977bU6ePAgT1wCAABAUiuMiH7zzTcKDQ11G/Xs27evJGnv3r26\n8MILXepqa2v/7/8OSDI1dVJDQM6WuXugNnhBHwqO9yA729gvDTU1Ndq/f79CQkLUqVMnI32Qjp/L\nx3FOSGbPCT4L+uCd/aAP9IE+nKwP/852v86yevVqR0tuPiEhQSEhIZo7d65L+cGDBzV+/HhNnjxZ\ncXFxLnUff/yxnnnmmZbsBgAAAAyZNWuWxowZ85vtvGL6pqFDh2rWrFnq0aOH0REwAAAAnLra2lqV\nlJRo6NChjWrf4kE0ICBAlZWVbuUNZQEBAW51NputUakZAAAA3m3gwIGNbtviDyuFhYXp22+/1c8/\n/+xS3nCPV8O9ogAAAGjfWjyIjhw5UtXV1Vq7dq1L+YoVK9StWzcNGGDqbSAAAADwJi3+1XxMTIyG\nDBmiBQsW6MiRI+rVq5c++eQTff7555o1a5YsFktLbxIAAABtUIs/NS/9+xWfa9asUWVlpXr37t2G\nXvEJAACA06FVgihOv+rqar322mvavXu3CgsLVVlZqYkTJ2rixIlubZcuXar33ntPJSUlCggI0GWX\nXaZJkyapc+fOLu0OHjyol19+WZs3b9ZPP/2k8847T7///e913XXXua3z8OHDSk1N1aZNm1RTU6N+\n/frpnnvuUXS0qfdhwxuYPC9XrFihZ5991mO/li5dqi5durTcjqLNyM3N1cqVK7Vz504dOHBAnTt3\n1vnnn6+77rpLERERLm0LCgqUmpqq/Px8Wa1WRUVFKSkpST179nRb79tvv613331XJSUl6tatm665\n5hrFx8fLarW6tONaCU9Mnpemr5VeMX0Tmq+iokLLli1T//79NXLkSC1fvtxjuxdffFFLly7VHXfc\noSFDhuibb75Renq6du3apYULFzpPzqqqKk2bNk319fWaOnWqunbtqlWrViklJUU//fSTxo8f71xn\nbW2tHnnkER05ckQPPvigunTponfeeUePP/64UlJSNHjw4NNyDOB9TJ6XDR5//HGFhoa6lHmavQPt\nw/vvv6/y8nKNGzdOffr0UUVFhd566y3df//9evbZZxUVFSVJ2rdvn2bMmKHw8HDNmTNHNTU1Sk9P\n17Rp05SWlqbAwEDnOpcsWaL09HRNmDBBQ4cO1a5du/TKK6/owIEDeuSRR5ztuFbiZEyelw1MXSsJ\nomeIHj166P3335d0/Ie/px/4ZWVlWrp0qW699VZNnjxZkhQdHa0uXbro6aef1ooVK3T99ddLkv71\nr3/phx9+UGpqqsLDwyUdn+/14MGDSk9P17XXXuscqcrOztbevXv1wgsv6IILLpAkDR48WJMmTVJq\naqpefPHFVt9/eCeT52WDvn37uo0ooP2aNm2a2wjPsGHDFB8fr9dff935Az89PV2+vr5KTk6Wn5+f\nJCkiIkIJCQnKysrSlClTJB0/r//xj3/ohhtu0L333ivp+PXv2LFjevXVVzVu3Dj17t1bEtdKnJzJ\n87KBqWtliz81D++Vn58vh8Ohiy++2KV8+PDhkqR169Y5y7788ksFBQU5f9if2Pbo0aPasmWLs2z9\n+vUKDQ11XlglyWq16qqrrtKuXbt08ODB1tgdnCFa67xs4HBw9xH+zdPXjH5+furdu7fKysokSfX1\n9crJyVFsbKzzh70kBQcHKzIyUuvXr3eWbdmyRXV1dRo7dqzLOq+99lo5HA6XtlwrcTImz8sGpq6V\nBNF2pK6uTpLUsWNHl/IOHY4PjBcVFbm0/WW7E5c9se0333yjsLAwt7YNZXv37m1ex3FGa63zssET\nTzyhK6+8UjfffLP+/Oc/n/DeeuC4qqoqFRQUqE+fPpKk4uJi1dbWnvS6Vlxc7DxvG86nX7YNCgpS\nYGCgy/WPayWa4nSdlw1MXSsJou1Iw8n85ZdfupQ3/P3EN2L17dtXP/74o3788cffbGu32z3eR+Lv\n7+/WFvil1jovu3btqoSEBD366KNasGCB7r77bn399de6//77PQZWtF/PPfecamtrFR8fL+nf51HD\nNexE/v7+cjgcstvtzrYdO3aUr6+vx7ZcK3GqTtd5afpaSRBtR/r166eLLrpIb775ptauXauqqip9\n+eWXmj9/vnx8fOTj8+/T4YYbblCHDh30zDPPaO/evaqoqNA777yj1atXSxLzwaLFtNZ5OWzYMN19\n990aPny4Bg0apFtuuUXPPfecLBaL0tPTT/t+wju9+uqrWrVqle677z63Wz4AU07neWn6WkkQbWfm\nzJmjgQMH6sknn9RNN92khx9+WJdffrn69++vbt26OduFhobqqaeeUmlpqe655x7deuutysrK0n33\n3SdJLm0DAgI8/ibf8JsZTyjjt7TGeelJjx49NHDgQO3cubNV9wdtQ0ZGhpYsWaJJkybplltucZY3\nXLMarmEnstvtslgszlGpgIAA1dXVqba21q1tZWWly/WPayUa43Sfl56czmslT823MzabTXPnzlVF\nRYUOHTqk4OBgderUSe+8846uuOIKl7YxMTF68803VVxcrPr6ep133nn65JNPJMllmpG+fft6HL5v\nKOvbt2/r7RDOCK1xXv4aRvSRkZGhjIwMJSYmasKECS51ISEh8vX1Pel1LSQkxHlfcsM9eHv27HF5\nhfWhQ4dUWVnpcv3jWonfYuK8/DWn41rJiGg7FRgYqL59++rss8/We++9p6NHj+rWW2/12DYkJESh\noaE6duyYli5dqvDwcA0aNMhZP3LkSO3bt0/5+fnOsvr6en300Ue64IILFBQU1Or7gzNDS56Xnuzf\nv1/bt293eWoZ7c9rr72mjIwMJSQk6K677nKrt1qtGjFihNatW6fq6mpneWlpqfLy8hQbG+ssi4mJ\nUadOnbRy5UqXdaxYsUIWi0WXXXaZs4xrJX6NqfPSk9N5rbQmJibOafWt4LT47LPPtGfPHhUVFWnj\nxo2y2WyyWCz69ttv1bNnT3Xo0EHLli1TQUGBqqqqVFhYqP/93//VG2+8ocmTJ+vyyy93WV/DjdKH\nDx9Wbm6uUlJSVFZWpmeeeUY2m83ZLiwsTOvXr9fHH3+sLl26ON8ckp+fr5kzZyo4OPh0Hwp4EVPn\n5X/+53+qrKxMdrtdBw4c0MaNG5WSkqL6+nrNmjXLpS3aj7feektpaWmKiYnR9ddfr7KyMpc/3bt3\nl3R8dPK9997Ttm3bFBQUpKKiIqWkpMjHx0d//OMfddZZZ0mS82GQrKwsHTt2TD4+Plq7dq0WL16s\na6+91mX6HK6VOBmT56XpayWv+DyDxMXFqbS0VNLx4fSGOcEsFoveeOMNBQcHa9myZVq6dKlKSkrk\n4+Oj8PBw3X777brkkkvc1venP/1Ju3btUkVFhQICAhQTE6PExESde+65bm0bLqg5OTmqqalReHi4\n7r77bl5bB2Pn5YsvvqgtW7aorKxMNTU1stlsio6O1l133aWQkJDW33F4pRkzZmj79u0e50y0WCxa\ntWqV8+8FBQVatGiRvvrqK1mtVkVHRzfqVYpdu3bV2LFjf/UVn1wrcSKT56XpayVBFAAAAEZwjygA\nAACMIIgCAADACIIoAAAAjCCIAgAAwAiCKAAAAIwgiAIAAMAIgigAAACMIIgCAADACIIoAAAAjPj/\n35dZoKQEaWgAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xf50906c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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ARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADA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\nBQAAgBGEKAAAAIwgRAEAAGDE/wOM4pwvKCpnKQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0xf71118c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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5vc5ms8nj8cjlcikiIqLFdS9YsEB2u91nWkpKilJSUto6TAAAAHSivLw85eXl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\nTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0xf509dac>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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AABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAA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\n4v8DsYVNUUP0zssAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xf70a8cc>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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HB3d6fXBwsDwej1wul8LCwrp8jyVLlshut/ssS0lJ+darsAAAADj7CgsLVVhY6LOssbGx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\nAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0xfbd52cc>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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xsZKSklq9jjaH6DnnnKNzzjlHkjR+/HhJ0urVqzVlyhSFhYVJktxud8Dn3G63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\nRhCiAAAAMOL/AdC3qM5LIM2ZAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0xfbb622c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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3N1cFBQVaunSprFarEhISZLfb+VYlAAAAuPkcoldffbWuvvpqn8bGxsYqJyfn\nlCcFAACAvq/L14gCAAAAp4IQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIU\nAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCi\nAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQ\nBQAAgBGEKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGE\nKAAAAIwgRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwg\nRAEAAGAEIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMIIQBQAAgBGEKAAAAIwgRAEAAGAE\nIQoAAAAjCFEAAAAYQYgCAADACEIUAAAARhCiAAAAMKK/rwPLy8u1adMmffLJJzp8+LCGDBmicePG\nadasWYqNjfUYW1VVpfz8fFVWVspqtSo+Pl52u10RERHd/gEAAADgn3w+I/raa6/pq6++0m233abl\ny5frvvvuU319ve699169//777nEHDhzQggUL1NbWpqysLD3wwAP64osvlJmZqYaGhh75EAAAAPA/\nPp8RzczM1NChQz2WTZo0STNnztRzzz2n+Ph4SVJhYaFsNpuys7MVGBgoSYqNjVVaWpqKi4uVkZHR\njdMHAACAv/L5jOiPI1SSAgMDdc4556iurk6S1NbWprKyMiUlJbkjVJLCw8MVFxen0tLSbpgyAAAA\n+oIu3azU1NSkqqoqjR49WpJUU1Mjp9Op6Ohor7HR0dGqqalRa2trV94SAAAAfYTPv5rvyBNPPCGn\n06mZM2dKkhobGyVJQUFBXmODgoLkcrnkcDgUFhbW4fbmz5+v0NBQj2UpKSlKSUnpyjQBAADQzYqK\nilRUVOSxrL6+vlPbOOUQffbZZ7VlyxZlZmYqJibmVDfjIS8vTwkJCd2yLQAAAPScjk4WlpeXKzEx\n0edtnNKv5letWqU1a9Zozpw5uummm9zLg4ODJUkOh8PrNQ6HQxaLpcOzpQAAADjzdDpEV61apVWr\nVik9PV2pqake6yIjI2Wz2VRdXe31uurqakVGRiogIODUZwsAAIA+o1Mhunr1aq1atUppaWmaNWuW\n13qr1ap82BOlAAASfUlEQVQpU6aopKREzc3N7uW1tbWqqKhQUlJS12cMAACAPsHna0TXrl2rlStX\navLkybrooov0ySefeKw/77zzJEnp6emy2+1atGiRUlNT1dLSosLCQoWGhio5Obl7Zw8AAAC/5XOI\nlpWVyWKxaOfOndq5c6fHOovFoi1btkiSoqKilJubq4KCAi1dulRWq1UJCQmy2+0KCQnp3tkDAADA\nb/kcorm5uT5vNDY2Vjk5Oac0IQAAAJwZuvRAewAAAOBUEaIAAAAwghAFAACAEYQoAAAAjCBEAQAA\nYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAA\nACMIUQAAABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAA\nABhBiAIAAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIA\nAMAIQhQAAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQA\nAABGEKIAAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABGEKIA\nAAAwghAFAACAEYQoAAAAjCBEAQAAYAQhCgAAACMIUQAAABhBiAIAAMAIQhQAAABG9O/M4ObmZq1e\nvVqffvqp9u7dq8bGRs2ePVuzZ8/2GltVVaX8/HxVVlbKarUqPj5edrtdERER3TZ5AAAA+K9OnRFt\naGjQ+vXrdeLECU2bNu2k4w4cOKAFCxaora1NWVlZeuCBB/TFF18oMzNTDQ0NXZ40AAAA/F+nzoiO\nHDlSr732mqTvovT111/vcFxhYaFsNpuys7MVGBgoSYqNjVVaWpqKi4uVkZHRxWkDAADA33X7NaJt\nbW0qKytTUlKSO0IlKTw8XHFxcSotLe3utwQAAIAf6vYQrampkdPpVHR0tNe66Oho1dTUqLW1tbvf\nFgAAAH6mU7+a90VjY6MkKSgoyGtdUFCQXC6XHA6HwsLCvNbPnz9foaGhHstSUlKUkpLS3dMEAABA\nFxQVFamoqMhjWX19fae20e0h2hV5eXlKSEgwPQ0AAAD8jI5OFpaXlysxMdHnbXT7r+aDg4MlSQ6H\nw2udw+GQxWLp8GwpAAAAzizdHqKRkZGy2Wyqrq72WlddXa3IyEgFBAR099sCAADAz3R7iFqtVk2Z\nMkUlJSVqbm52L6+trVVFRYWSkpK6+y0BAADghzp9jeg777yj48eP69ixY5Kk/fv3a9u2bZKkiy++\nWDabTenp6bLb7Vq0aJFSU1PV0tKiwsJChYaGKjk5uXs/AQAAAPxSp0M0Ly9PtbW1kiSLxaJt27Zp\n27Ztslgsev755xUeHq6oqCjl5uaqoKBAS5culdVqVUJCgux2u0JCQrr9QwAAAMD/dDpEf3yb/snE\nxsYqJyen0xMCAADAmaHbrxEFAAAAfEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQB\nAABgBCEKAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABgBCEK\nAAAAIwhRAAAAGEGIAgAAwAhCFAAAAEb0Nz0BAABw6vbu3SuHw2F0DkFBQYqJiTE6B/gnQhQAAD+1\nd+9excbGmp6GJKmqqooYRacRogAA+Knvz4SukTTe0CwqJc00flYW/okQBQDA742XlGB6EkCncbMS\nAAAAjCBEAQAAYAQhCgAAACO4RhQAAPi93vAYqyNHjmjYsGFG5+Bvj9IiRAEAgF/rTY+x6g386VFa\nhCgAAPBrveMxVhskLTE8B/97lBYhCgAA+giTj7Gq7AVz8D/crAQAAAAjCFEAAAAYQYgCAADACK4R\nBQA/0hseUeNvj4cB0HsRogDgJ3rTI2r86fEwAHovQhQA/ETveESN/z0eBkDvRYgCgN/h8TAA+gZu\nVgIAAIARhCgAAACMIEQBAABgBNeIAgBwikw/TquysvLnB+GMY3K/6Ox7E6IAAJyC3vQ4LeA7ByRJ\nM2fONDwP3xGiAACcgt7xOK0NkpYYem/0Pt/847/9Z58kRAEA6BKTj9PiV/PoiP/sk9ysBAAAACMI\nUQAAABhBiAIAAMAIrhH9AdOP4ZCkoKAgxcTEGJ0DPwf8GPsEgJ/jT48MQu9BiP5Db3oMR1VVlbG/\ncPk54MfYJwD8NP97ZBB6D0L0H3rHYzgqJc00euaJnwN+jH0CwE/zv0cGofcgRL2YfORBb8LPAT/G\nPgHgp/jPI4PQe3CzEgAAAIwgRAEAAGAEIQoAAAAjuEYU+Ak8tgjoWG94XM6RI0c0bNgwY+/fG34G\ngL8jRIGT4LFFQEd4VA+A7kOIAifBY4uAjvSGR/VI3z+uh0cGAf6sR0K0ublZzzzzjLZt26bGxkZF\nRUUpNTVVl19+eU+8HdDDeGwR4M30/y/afy3OI4MAf9YjIfr73/9ee/bsUUZGhv7pn/5JW7Zs0cMP\nP6xvv/1WV155ZU+8JQAAAPxMt4fojh079N5772nJkiXuM6BxcXE6dOiQ/vSnP+nyyy9Xv37crA8A\nAHCm6/YiLC0t1aBBg3TppZd6LL/mmmt05MgR7jIEAACApB44I7pv3z5FRUV5nfUcM2aMJGn//v06\n//zzPdY5nU5JZh+F8f17b5C5636qvpvBhg3Gfhb79u37xz+d2T8HiZ9FO34O32lpadHBgwcVGRmp\nAQMGGJlD7/jf4u1eMIfeMg/mwByYw8nm0N52P8eydetWV3e+fVpamiIjI7V8+XKP5UeOHFFycrLm\nzp2rlJQUj3WbN2/WsmXLunMaAAAAMGTx4sWaPn36z47rFY9vmjhxohYvXqyRI0caO9MAAACArnE6\nnTp06JAmTpzo0/huD9Hg4GA1NjZ6LW9fFhwc7LUuNDTUp2oGAABA73bBBRf4PLbbb1aKjo7W559/\nrm+//dZjefu1Te3XigIAAODM1u0hOm3aNDU3N2vbtm0eyzdu3Kjhw4dr/HiT38QBAACA3qLbfzU/\nefJkJSYmKi8vT8eOHdOoUaP05ptv6t1339XixYtlsVi6+y0BAADgh7r9rnnp+6/4fOutt9TY2Khz\nzjmHr/gEAACAhx4JUZx+zc3NWr16tT799FPt3btXjY2Nmj17tmbPnu01dt26dXr11Vd16NAhBQcH\na+rUqZozZ46GDBniMe7IkSP685//rJ07d+qbb77R2WefrVtuuUXXXnut1za//vpr5efna8eOHWpp\nadG5556ru+66SwkJfEf7mczkfrlx40Y99thjHc5r3bp1Gjp0aPd9UPiN8vJybdq0SZ988okOHz6s\nIUOGaNy4cZo1a5ZiY2M9xlZVVSk/P1+VlZWyWq2Kj4+X3W5XRESE13ZfeuklvfLKKzp06JCGDx+u\nGTNmaObMmbJarR7jOFaiIyb3S9PHyl7x+CZ0XUNDg9avX6+xY8dq2rRpev311zsc99RTT2ndunW6\n4447lJiYqH379qmwsFC7d+/Wk08+6d45m5qalJmZqba2Ns2bN0/Dhg3Tli1blJOTo2+++UbJycnu\nbTqdTt1///06duyY7rvvPg0dOlQvv/yyFi5cqJycHE2YMOG0/AzQ+5jcL9stXLhQUVFRHss6enoH\nzgyvvfaa6uvrddttt2n06NFqaGjQ2rVrde+99+qxxx5TfHy8JOnAgQNasGCBYmJilJWVpZaWFhUW\nFiozM1MrVqxQSEiIe5tr1qxRYWGhUlNTNXHiRO3evVvPPPOMDh8+rPvvv989jmMlTsbkftnO1LGS\nEO0jRo4cqddee03Sd3/5d/QXfl1dndatW6ebb75Zc+fOlSQlJCRo6NCheuSRR7Rx40Zdd911kqS/\n/vWv+vLLL5Wfn6+YmBhJ3z3v9ciRIyosLNQ111zjPlO1YcMG7d+/X3/84x913nnnSZImTJigOXPm\nKD8/X0899VSPf370Tib3y3ZjxozxOqOAM1dmZqbXGZ5JkyZp5syZeu6559x/4RcWFspmsyk7O1uB\ngYGSpNjYWKWlpam4uFgZGRmSvtuv//KXv+j666/X3XffLem749+JEyf07LPP6rbbbtM555wjiWMl\nTs7kftnO1LGy2++aR+9VWVkpl8uliy66yGP5xRdfLEkqKSlxL/v4448VFhbm/sv+h2OPHz+uXbt2\nuZeVlpYqKirKfWCVJKvVqn/+53/W7t27deTIkZ74OOgjemq/bOdycfURvtfRrxkDAwN1zjnnqK6u\nTpLU1tamsrIyJSUluf+yl6Tw8HDFxcWptLTUvWzXrl1qbW3V1Vdf7bHNa665Ri6Xy2Msx0qcjMn9\nsp2pYyUhegZpbW2VJAUEBHgs79//uxPj1dXVHmN/PO6Hr/3h2H379ik6OtprbPuy/fv3d23i6NN6\nar9s9+CDD+rKK6/UjTfeqN///vc/+L524DtNTU2qqqrS6NGjJUk1NTVyOp0nPa7V1NS499v2/enH\nY8PCwhQSEuJx/ONYic44XftlO1PHSkL0DNK+M3/88ccey9v//MNvxBozZoy++uorffXVVz871uFw\ndHgdSVBQkNdY4Md6ar8cNmyY0tLS9G//9m/Ky8vTnXfeqT179ujee+/tMFhx5nriiSfkdDo1c+ZM\nSd/vR+3HsB8KCgqSy+WSw+Fwjw0ICJDNZutwLMdKnKrTtV+aPlYSomeQc889V7/85S/1wgsvaNu2\nbWpqatLHH3+s3Nxc9evXT/36fb87XH/99erfv7+WLVum/fv3q6GhQS+//LK2bt0qSTwPFt2mp/bL\nSZMm6c4779TFF1+sCy+8UDfddJOeeOIJWSwWFRYWnvbPid7p2Wef1ZYtW3TPPfd4XfIBmHI690vT\nx0pC9AyTlZWlCy64QA899JBuuOEG/eY3v9Gll16qsWPHavjw4e5xUVFRevjhh1VbW6u77rpLN998\ns4qLi3XPPfdIksfY4ODgDv9Nvv3fzLhDGT+nJ/bLjowcOVIXXHCBPvnkkx79PPAPq1at0po1azRn\nzhzddNNN7uXtx6z2Y9gPORwOWSwW91mp4OBgtba2yul0eo1tbGz0OP5xrIQvTvd+2ZHTeazkrvkz\nTGhoqJYvX66GhgYdPXpU4eHhGjBggF5++WVddtllHmMnT56sF154QTU1NWpra9PZZ5+tN998U5I8\nHjMyZsyYDk/fty8bM2ZMz30g9Ak9sV/+FM7oY9WqVVq1apXS09OVmprqsS4yMlI2m+2kx7XIyEj3\ndcnt1+B99tlnHl9hffToUTU2Nnoc/zhW4ueY2C9/yuk4VnJG9AwVEhKiMWPGaNCgQXr11Vd1/Phx\n3XzzzR2OjYyMVFRUlE6cOKF169YpJiZGF154oXv9tGnTdODAAVVWVrqXtbW16Y033tB5552nsLCw\nHv886Bu6c7/syMGDB/Xhhx963LWMM8/q1au1atUqpaWladasWV7rrVarpkyZopKSEjU3N7uX19bW\nqqKiQklJSe5lkydP1oABA7Rp0yaPbWzcuFEWi0VTp051L+NYiZ9iar/syOk8VlrT09OzevxdcFq8\n8847+uyzz1RdXa3t27crNDRUFotFn3/+uSIiItS/f3+tX79eVVVVampq0t69e/Xiiy/q+eef19y5\nc3XppZd6bK/9Qumvv/5a5eXlysnJUV1dnZYtW6bQ0FD3uOjoaJWWlmrz5s0aOnSo+5tDKisrtWjR\nIoWHh5/uHwV6EVP75W9/+1vV1dXJ4XDo8OHD2r59u3JyctTW1qbFixd7jMWZY+3atVqxYoUmT56s\n6667TnV1dR7/OeussyR9d3by1Vdf1fvvv6+wsDBVV1crJydH/fr10+9+9zsNHDhQktw3gxQXF+vE\niRPq16+ftm3bppUrV+qaa67xeHwOx0qcjMn90vSxkq/47ENSUlJUW1sr6bvT6e3PBLNYLHr++ecV\nHh6u9evXa926dTp06JD69eunmJgY3X777brkkku8trdkyRLt3r1bDQ0NCg4O1uTJk5Wenq4RI0Z4\njW0/oJaVlamlpUUxMTG68847+do6GNsvn3rqKe3atUt1dXVqaWlRaGioEhISNGvWLEVGRvb8B0ev\ntGDBAn344YcdPjPRYrFoy5Yt7j9XVVWpoKBA//d//yer1aqEhASfvkpx2LBhuvrqq3/yKz45VuKH\nTO6Xpo+VhCgAAACM4BpRAAAAGEGIAgAAwAhCFAAAAEYQogAAADCCEAUAAIARhCgAAACMIEQBAABg\nBCEKAAAAIwhRAAAAGPH/OCyV8xwWOAgAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1000804c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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4FBoa2uy6p0+frpCQELdpKSkpSklJae0wAQAA0IHy8vKUl5fnNq2ysrJV62h1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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10251dac>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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VV18pIiJC/v7+qqio8BpXUVGhiIgI+fn5dXSXAAAA6AU6HKKlpaXq16+fLrzw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\nAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x106a904c>"
       ]
      },
      {
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAqIAAAIlCAYAAAAOtJqTAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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