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    {
     "cells": [
      {
       "cell_type": "code",
       "execution_count": 1,
       "metadata": {},
       "outputs": [
        {
         "name": "stdout",
         "output_type": "stream",
         "text": [
          "/usr/bin/python3\n"
         ]
        }
       ],
       "source": [
        "import sys\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
    
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        "import matplotlib as mpl\n",
    
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        "import uproot\n",
        "print(sys.executable)"
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 2,
       "metadata": {},
       "outputs": [],
       "source": [
    
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        "# Validation files can be taken from:\n",
        "# https://dtn01.sdcc.bnl.gov:9000/minio/eictest/ATHENA/WG/BeamEffects/\n",
        "\n",
        "# Config 1:  275x18 old (no initial state radiation)\n",
        "# no_effects_source = \"/home/romanov/eic/data/ab_test/old_no_radiation/test_headon_25mRad_18x275.hepmc\"\n",
        "# full_py8_source = \"/home/romanov/eic/data/ab_test/old_no_radiation/pythia8NCDIS_18x275_minQ2=10_beamEffects_xAngle=-0.025_hiDiv_1.hepmc\"\n",
        "# out_prefix = 'noisr_275x18'\n",
        "\n",
        "# Config 2:  275x18 current\n",
    
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        "\n",
    
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        "no_effects_source = \"/home/romanov/eic/data/ab_test/test_headon_18x275.hepmc\"\n",
    
        "full_py8_source = \"/home/romanov/eic/data/ab_test/pythia8NCDIS_18x275_minQ2=10_beamEffects_xAngle=-0.025_hiDiv_1.hepmc\"\n",
    
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        "out_prefix = '275x18'\n",
        "\n",
        "\n",
    
        "no_effects_source = \"/home/romanov/eic/data/ab_test/test_headon_10x100.hepmc\"\n",
        "full_py8_source = \"/home/romanov/eic/data/ab_test/pythia8NCDIS_10x100_minQ2=10_beamEffects_xAngle=-0.025_hiDiv_1.hepmc\"\n",
        "out_prefix = '100x10'\n",
    
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        "\n",
    
        "no_effects_source = \"/home/romanov/eic/data/ab_test/test_headon_5x41.hepmc\"\n",
        "full_py8_source = \"/home/romanov/eic/data/ab_test/pythia8NCDIS_5x41_minQ2=10_beamEffects_xAngle=-0.025_hiDiv_1.hepmc\"\n",
        "out_prefix = '41x5'\n",
    
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        "\n",
        "\n",
        "\n",
        "#/home/romanov/eic/data/ab_test/pythia8NCDIS_5x41_minQ2=10_beamEffects_xAngle=-0.025_hiDiv_1.hepmc\n",
        "#/home/romanov/eic/data/ab_test/pythia8NCDIS_10x100_minQ2=10_beamEffects_xAngle=-0.025_hiDiv_1.hepmc\n",
        "\n",
        "# Executable path\n",
    
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        "executable = \"/home/romanov/eic/afterburner/cpp/cmake-build-debug/abconv/abconv\"\n",
    
        "process_limit = 500000\n",
    
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        "\n",
        "# We compare setups here: \n",
    
        "# 1. No beam effects + afterburner\n",
        "# 2. Full beam effects (No afterburner obviously)\n",
    
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        "\n",
        "# Each setup will produce hepmc and .root file + command to run converter/afterburner\n",
        "\n",
    
        "# 1. No beam effects run through afterburner\n",
    
        "afterburner_out = f\"{out_prefix}_afterburner\"\n",
        "afterburner_root = f\"{afterburner_out}.hist.root\"\n",
    
        "afterburner_cmd = f\"{executable} {no_effects_source}  --limit={process_limit} -o {afterburner_out}\"\n",
    
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        "\n",
    
        "# 2. Full beam effects (No afterburner obviously)\n",
    
        "full_py8_out = f\"{out_prefix}_pythia8_alleff\"\n",
    
        "full_py8_root = full_py8_out + \".hist.root\"\n",
    
        "full_py8_cmd = f\"{executable} {full_py8_source}   --ab-off --limit={process_limit} -o {full_py8_out}\"\n"
    
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       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "The next one will trigger simulations for 1. no effects "
       ]
      },
      {
       "cell_type": "code",
    
       "execution_count": 3,
    
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       "metadata": {
        "scrolled": true
       },
    
       "outputs": [
        {
         "name": "stdout",
         "output_type": "stream",
         "text": [
          "\n",
          "\n",
    
          " /home/romanov/eic/afterburner/cpp/cmake-build-debug/abconv/abconv /home/romanov/eic/data/ab_test/test_headon_5x41.hepmc  --limit=500000 -o 41x5_afterburner\n",
          "Info in deduce_reader: Attempt ReaderRootTree for:  /home/romanov/eic/data/ab_test/test_headon_5x41.hepmc\n",
          "Info in deduce_reader: Attempt ReaderAscii for:  /home/romanov/eic/data/ab_test/test_headon_5x41.hepmc\n",
    
          "Afterburner is ENABLED\n",
    
          "Initial beam particles (before afterburner):\n",
    
          "   pdg: 2212   p: 0.0, -0.0, 41.0   e:41.0\n",
          "   pdg: 11   p: -0.0, 0.0, -5.0   e:5.0\n",
    
          "   crossing angle: 0 [mrad]\n",
          "=========================\n",
          "AFTERBURNER CONFIGURATION\n",
          "=========================\n",
    
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          "Crossing angle: 0.025\n",
    
          "Vertex distribution width  x: 0, y: 0, z: 0, t: 0\n",
          "Vertex distribution function: Gauss\n",
          "Vertex simulation is: on\n",
          "Hadron beam:\n",
    
          "   rms emittance   : hor = 4.4e-05, ver = 1e-05\n",
          "   beta star       : hor = 900, ver = 71\n",
          "   beta crab       : hor = 200000\n",
          "   rms bunch length: 75\n",
    
          "Lepton beam:\n",
    
          "   rms emittance   : hor = 2e-05, ver = 1e-05\n",
          "   beta star       : hor = 1960, ver = 71\n",
    
          "   beta crab       : hor = 150000\n",
    
          "   rms bunch length: 7\n",
    
          "=========================\n",
          "Events parsed: 1000\n",
          "Events parsed: 2000\n",
          "Events parsed: 3000\n",
          "Events parsed: 4000\n",
          "Events parsed: 5000\n",
    
          "Events parsed: 10000\n",
          "Events parsed: 15000\n",
          "Events parsed: 20000\n",
          "Events parsed: 30000\n",
          "Events parsed: 40000\n",
          "Events parsed: 50000\n",
          "Events parsed: 60000\n",
          "Events parsed: 70000\n",
          "Events parsed: 80000\n",
          "Events parsed: 90000\n",
          "Events parsed: 100000\n",
          "Events parsed: 110000\n",
          "Events parsed: 120000\n",
          "Events parsed: 130000\n",
          "Events parsed: 140000\n",
          "Events parsed: 150000\n",
          "Events parsed: 160000\n",
          "Events parsed: 170000\n",
          "Events parsed: 180000\n",
          "Events parsed: 190000\n",
          "Events parsed: 200000\n",
          "Events parsed: 210000\n",
          "Events parsed: 220000\n",
          "Events parsed: 230000\n",
          "Events parsed: 240000\n",
          "Events parsed: 250000\n",
          "Events parsed: 260000\n",
          "Events parsed: 270000\n",
          "Events parsed: 280000\n",
          "Events parsed: 290000\n",
          "Events parsed: 300000\n",
          "Events parsed: 310000\n",
          "Events parsed: 320000\n",
          "Events parsed: 330000\n",
          "Events parsed: 340000\n",
          "Events parsed: 350000\n",
          "Events parsed: 360000\n",
          "Events parsed: 370000\n",
          "Events parsed: 380000\n",
          "Events parsed: 390000\n",
          "Events parsed: 400000\n",
          "Events parsed: 410000\n",
          "Events parsed: 420000\n",
          "Events parsed: 430000\n",
          "Events parsed: 440000\n",
          "Events parsed: 450000\n",
          "Events parsed: 460000\n",
          "Events parsed: 470000\n",
          "Events parsed: 480000\n",
          "Events parsed: 490000\n",
          "Events parsed: 500000\n",
          "Event limit reached:-> Events processed: 500000 >= Events_limit: 500000\n",
    
          " /home/romanov/eic/afterburner/cpp/cmake-build-debug/abconv/abconv /home/romanov/eic/data/ab_test/pythia8NCDIS_5x41_minQ2=10_beamEffects_xAngle=-0.025_hiDiv_1.hepmc   --ab-off --limit=500000 -o 41x5_pythia8_alleff\n",
          "Info in deduce_reader: Attempt ReaderRootTree for:  /home/romanov/eic/data/ab_test/pythia8NCDIS_5x41_minQ2=10_beamEffects_xAngle=-0.025_hiDiv_1.hepmc\n",
          "Info in deduce_reader: Attempt ReaderAscii for:  /home/romanov/eic/data/ab_test/pythia8NCDIS_5x41_minQ2=10_beamEffects_xAngle=-0.025_hiDiv_1.hepmc\n",
    
          "Afterburner is DISABLED\n",
          "Initial beam particles (before afterburner):\n",
    
          "   pdg: 2212   p: -1.0, 0.0, 41.0   e:41.1\n",
          "   pdg: 11   p: -0.0, -0.0, -5.0   e:5.0\n",
    
          "   crossing angle: -25 [mrad]\n",
          "=========================\n",
          "Events parsed: 1000\n",
          "Events parsed: 2000\n",
          "Events parsed: 3000\n",
          "Events parsed: 4000\n",
          "Events parsed: 5000\n",
    
          "Events parsed: 10000\n",
          "Events parsed: 15000\n",
          "Events parsed: 20000\n",
          "Events parsed: 30000\n",
          "Events parsed: 40000\n",
          "Events parsed: 50000\n",
          "Events parsed: 60000\n",
          "Events parsed: 70000\n",
          "Events parsed: 80000\n",
          "Events parsed: 90000\n",
          "Events parsed: 100000\n",
          "Events parsed: 110000\n",
          "Events parsed: 120000\n",
          "Events parsed: 130000\n",
          "Events parsed: 140000\n",
          "Events parsed: 150000\n",
          "Events parsed: 160000\n",
          "Events parsed: 170000\n",
          "Events parsed: 180000\n",
          "Events parsed: 190000\n",
          "Events parsed: 200000\n",
          "Events parsed: 210000\n",
          "Events parsed: 220000\n",
          "Events parsed: 230000\n",
          "Events parsed: 240000\n",
          "Events parsed: 250000\n",
          "Events parsed: 260000\n",
          "Events parsed: 270000\n",
          "Events parsed: 280000\n",
          "Events parsed: 290000\n",
          "Events parsed: 300000\n",
          "Events parsed: 310000\n",
          "Events parsed: 320000\n",
          "Events parsed: 330000\n",
          "Events parsed: 340000\n",
          "Events parsed: 350000\n",
          "Events parsed: 360000\n",
          "Events parsed: 370000\n",
          "Events parsed: 380000\n",
          "Events parsed: 390000\n",
          "Events parsed: 400000\n",
          "Events parsed: 410000\n",
          "Events parsed: 420000\n",
          "Events parsed: 430000\n",
          "Events parsed: 440000\n",
          "Events parsed: 450000\n",
          "Events parsed: 460000\n",
          "Events parsed: 470000\n",
          "Events parsed: 480000\n",
          "Events parsed: 490000\n",
          "Events parsed: 500000\n",
          "Event limit reached:-> Events processed: 500000 >= Events_limit: 500000\n"
    
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       "source": [
    
        "# print(\"\\n\\n\", no_effects_cmd)\n",
        "# !{no_effects_cmd}\n",
    
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        "print(\"\\n\\n\", afterburner_cmd)\n",
        "!{afterburner_cmd}\n",
        "print(\"\\n\\n\", full_py8_cmd)\n",
        "!{full_py8_cmd}"
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 4,
       "metadata": {},
    
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       "outputs": [],
    
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       "source": [
    
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        "# !ls -latrh\n",
    
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        "# !rm *.root *.hepmc"
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 5,
       "metadata": {},
    
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       "outputs": [
        {
         "name": "stdout",
         "output_type": "stream",
         "text": [
    
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          "['partPt;1', 'partEta;1', 'partPhi;1', 'partPtVsEta;1', 'partPhiVsEta;1', 'vtxX;1', 'vtxY;1', 'vtxZ;1', 'vtxT;1', 'vtx2X;1', 'vtx2Y;1', 'vtx2Z;1', 'vtx2T;1', 'vtxYvsX;1', 'vtxXvsT;1', 'vtxXvsZ;1', 'vtxYvsZ;1', 'vtxTvsZ;1', 'vtxXvsTZSum;1', 'vtxXvsTZDiff;1', 'atan2PxPz1;1', 'atan2PyPz1;1', 'atan2PyPtot1;1', 'atan2PxPz2;1', 'atan2PyPz2;1']\n"
    
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       "source": [
    
        "#no_effects_file = uproot.open(no_effects_root)[\"after\"]\n",
        "#ab_file = uproot.open(afterburner_root)\n",
        "\n",
        "no_effects_file = uproot.open(afterburner_root)[\"before\"]\n",
        "afterburner_file = uproot.open(afterburner_root)[\"after\"]\n",
        "full_py8_file = uproot.open(full_py8_root)[\"after\"]\n",
    
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        "print(no_effects_file.keys())\n",
    
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        "\n",
        "files = [no_effects_file, afterburner_file, full_py8_file]\n",
        "file_titles = [\"Nominal (no effects)\", \"Afterburner\", \"Pythia8 with beam effects\"]"
    
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       ]
      },
      {
       "cell_type": "code",
       "execution_count": 6,
       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": 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\n",
 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          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
    
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        "def compare_before_after_pythia_1d(histo_name, title, x_label, y_label, figsize=(15, 5)):\n",
        "    \"\"\"Copmpares 3 plots before AB, after AB, pythia8 \"\"\"\n",
    
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        "\n",
    
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        "    fig, axes = plt.subplots(1, 3, figsize=figsize)\n",
        "    fig.suptitle(title)\n",
        "    \n",
        "    for i, ax in enumerate(axes):\n",
        "        ax.set_title(file_titles[i])\n",
        "        ax.set_xlabel(x_label)\n",
        "        ax.set_ylabel(y_label)\n",
        "        files[i][histo_name].to_hist().plot(ax=ax)\n",
        "    \n",
    
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        "\n",
    
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        "compare_before_after_pythia_1d(\"partPhi\", \"Phi comparison\", \"phi\", \"\")"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 7,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
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          "text/plain": [
           "<AxesSubplot:title={'center':'Final state particles Phi comparison'}, xlabel='xaxis', ylabel='Counts'>"
          ]
         },
         "execution_count": 7,
         "metadata": {},
         "output_type": "execute_result"
        },
        {
         "data": {
    
          "image/png": 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Z3/YEs3hdR9nsEdvy0sbbN7BW5WCAG4Sql+Jq71q9PM+kZdFjq7bKgS1zkqR1081i9BOXPsnMEduy45emN65uJWWAG4RqdavedN4PmLlsKKtsaf8HJ0nS2upmMfqZw7dh1rBtV/3bo9UywAmAq8YcD8APp3YZ9XPF+xpQG0lSadVqbSNqLkY/7ZI7AZweZC0Y4CRJUt+p0do2c/g2tM7blKtcCqvPGODUoXXuQg7v8o/r9PkL2GDEMCY2tmqSpDLp0tp2avG3pWVM590G81JY68oAJ4Bu/wEtblvuSg6SpF6rtfA8VMKak/P2HQOcgNoDGwBuOu8NtC6GaS8fCcBX5/7AlRwkSd1a1LaMxW3LO5XZ0tb3DHDqUfuUIzOL/0VNG/s1V3KQJFW0D1hYZWqQbWxtqzMDnHrU3UoOkiR1DFio4tQg/cMAJ0mS1l6XAQtODdI/DHBaK66lKklS4xjgtMaq11I9bdEXAbj26bMd2CBJUj8xwGmNVa+lOrOtWFM1JziwQZIGshoDFpbMeYAnhk7iiDNvBpyctz/VNcBFxOeBTwEJPARMBTYHrgXGAvcBR2ZmW0SsB3wP2BWYDxyemTOL43wROAZYDnw2M28uyvcHLgSGAv+Vmfbf9YPaAxu+XLtbFexalaSBoMaAhSeGTuL+tvGdypwypH/ULcBFxJbAZ4GWzHwlIn4EHEHlusYLMvPaiPgOlWB2cfHz75n5+og4Avh34PCIaCmeNxnYArg1It5QvMxFwHuAOcC9EXFDZrbW6z2pe7OGbQtUPqSO4Aar/GOXJJVYNwMWHnLKkH5X7y7UYcD6EbEUGAXMBd4FfLTYfhVwJpUAd1BxH+B64FsREUX5tZn5KvBURDwO7F7s93hmPgkQEdcW+xrgGuCqMccD8MOpXf4RX/G+BtRGkrTWqhejr9ZlfVM1Vt0CXGY+ExHnA08DrwC/otJl+mJmtl8sNQfYsri/JTC7eO6yiFhApZt1S+CuqkNXP2d2l/K31uGtaF09+5BLcUlSWVQvRl91SUz7gvSner1bU6hnF+prqLSITQJeBK4D9q/X662mLscBxwFsvfXWjajCoNA6dyGHV61917L5aI5asCktw7dh4tInVu5ot6okNbcuXaWwckH6al7v1jj17EJ9N/BUZs4DiIifAHsCG0fEsKIVbivgmWL/Z4DxwJyIGAaMoTKYob28XfVzuivvJDMvBS4FmDJlSq77W1NX3f0DPnXxR1ddwNhuVUlqWrUWo69ubXOJrOZQzwD3NLBHRIyi0oW6DzADuB04lMpI1KOA/yn2v6F4fGex/bbMzIi4AfhBRPwnlUEM2wH3AAFsFxGTqAS3I1h5bZ36Wa2RqUBHi9yOVU3up89fwAYjhjGxH+snSaqh+nq3ort0XNty5uWEVXa1ta251PMauLsj4nrgfmAZ8AcqrWC/AK6NiLOLssuKp1wGfL8YpPAClUBGZj5SjGBtLY7zj5m5HCAiTgRupjKNyOWZ+Ui93o/WTvs/9upm98VtyxtVHUlSterr3Qozh2/DvGHb2tLW5Oo6CjUzzwDO6FL8JCtHkVbvuwQ4rJvjnAOcU6P8JuCmda+p6qX2nHFDG1ATSVJNrmVaSkMaXQFJkiStGZfSUkOMb3uCR87dixVLXgZgyMgNeWnj7dnjM99tcM0kaYDqYSmsaV1GmDo1SPMzwKnfvbTx9sx+sXPZ+LYnVimTJPWhjuvdVq6W41JY5WWAU7+r1cr2yLl7uZaqJNVbN9e7OWChfAxwagqd1lKt5qS/kiStwgCnpnDVmOMrk0S2jab11WLiyLbRnJ4ns8H8Rc4ZJ0lSFQOcmkJ311s4Z5wkraEak/NWD1g4wrVMBwQDnJpCdys5PHLu0Mq1cV8pLrL1ujhJ6lmNyXnBAQsDjQFOTW3ltXGzVhZ6XZwk9azGYvTtAxYecsDCgGCAU1O7aszxQJcRUle8rxLiuo5YtVVOkla7GL0GBgOcml7r3IUcXvzPEeCoBZvSMnybzgMbbJWTNBhVX+9WGLfoMRejHwQMcGpq7V821f+LPHXxR2nZfDQ/nNqlVU6SBpvq692KHgkXox8cDHBqarUGN1S3xknSoOdi9IOSAU6l1N6t2t4yd+2IBWwwYpjzxUmSBgUDnEqn1jUci9uWuxSXpIHNxehVxQCn0qnVrXrTeT9g5rKhLsUlaeBqv96tinO7DV4GOA0ILsUlaaCbOX8Ri3Jrjmj7v0DlO661rTI1iAMWBh8DnAYEl+KSNNAtalu2ynearW2DlwFOA0JPS3FJUql0s5bpxKVPMnPENjz0pf0aVzc1DQOcBrzxbU/w0Om7ADBk5IYAvLTx9uzxme82sFaSVNvMR+5i3KLHmDl8G1YsGQvAkLkLWJwTmDds21Wv9dWgZIDTgPbSxtsz+0X40qKPAvBVfsD4tieY/WJDqyVJFTVa28a1Lac1J3D+2K+tnMR8bKWbtGWL0c7vJsAApwGuvZXtxo6Sz/DIuXs1qjqS1Fn1SgoFV1JQbxjgNChNXPokfKUYeu98cZIapH1k6bS2f4NNKmWtcxfSMtaWNvXMAKdBZ9awbQGYzKyVhc4XJ6kBqkeWVq/57MhSrY4BToPOVWOOB+jcPXHF+yohrutKDrbKSaqzUSOG2l2qNWaA06DUOnchO555M1D53+5RCzZlQm4Ncxdw2qIvAnDt02czb/4iJh7QyJpKGjBqLIU1cemTzBy+TWPrpVIywGnQae+aqF43sL1VDmBmW6W8NScwqm1Z/1ZOUvl1M48bs6YD8MiIYsCCU4NoHRjgNOh0N+lvV4+c++U610TSgFRjZClUgtv9beM5r+1oYOWC804NorVhgJN6MHHpk6teFwdeGyepZ5vtCFN/0alo2iV3AvCQ17upDxjgpG6sHK3ahSNWJUkNZoCTutExWnVql/8tt49YdR45SdXXuxWWzHmAJ4ZOYtold3aaGqR17sKOblNpXRngpB60zl3I4V2+hI9asCktw7dh4tInVu5oq5w0OFVf71ZcavHE0Enc3zZ+lV2d3019yQAndaP6i7b6f82nLv4oLZuPXnUeOUmDTvVKCq2vrhzZvsp3hNTHDHBSN7obrdreIlc9j9zp8xew7fKnGOlEwNKgUr2SQjtb2tQfDHDSGqo1j9z9beNhRJcBD3arSoOCKymoEQxw0hqq1TJ3+CXwc7oMeLBbVRpQ7vr2sWz04qOsWPIyAENGbsj4tieYPWLbBtdMg5EBTuojXQc8XDuiqlu1K7tWpebVzUoKezxfWUnhwOVfAeCr/IDZI7blpY23b0QtNcgZ4KQ+UGvAw/1zq7pVq6+Ls2tVam49rKQwa9i23HjKZ4qSz6z6XKmfGOCkPtBdt+p5cxfS0ja6Y3RaS9toTs+T2XbOA4x0HjmpKdUaWdrSNprWtoW0jHXZKzUHA5xUJ92NQusY8LDZmJWFtspJjVGju3Rc23Lm5YRVdnV0qZqJAU6qk+6nIXHAg9QQ7WGt+pKGWZXr2piwV8duM4dvw7xh2zqyVE3NACc1QK155DYYMYyJja2WNLC1X9tWZeaGb6Z1xQSuaju+80S8dpWqyRngpH5Wax65l5YsY/yrT/DIuXt12veljbdnj898t1/rJw1om+0IU3/R8fDUYuR4S9UVDXaVqgwMcFI/q9W1ete3d2T2i5V/ju1zTE0Y8hyzX+zPmkmDk8teqYwMcFITqNXK1rU1TtIaqHG925I5D/DE0EkcUXX5QuvchZ3WOpbKwgAnNbGJS5+sDHCovuganHJEWo2Zj9zFuEWPcUTbvwHw1bk/4KWl42l9dctOf/nsLlVZGeCkJjVr2LYsblvOqLkLWLFkLABD5i5gcttDlZFzD1xT2bE91LWrDnsGPQ103ayaMG7RY7TmBGYOryxzNW3s14DKNagPdTNCXCoTA5zUpO7d/hRa/7pwlfL9Zn+dliGz2OCVJUAl1AGVUaxjN1i5o3PLaaCpDmvtakwDAiunAnnolP36qXJS/zLASU2qu3nkzrpxNDd3CXatcyszxDu3nAa06iWu2lvbJuxVs6V52iV3AjgViAYsA5xUMrWX7bqzATWR6qiHQQjT2v4NNin2awOeBrr8G3BwggY6A5w0QLTOXcjhxZxWANeOWMC2y59ipIMgVEY1Jt19YuikylJ0rJxHsTqkVZc5OEEDnQFOGgBq/aHqWHO164ZZ02sPgjDUqdl0mXS3vVvUOdskA5w0INTuVh3NeXMX0tI2umOJoJa20Rw16ju0DJnFxKVPrNzZAQ9qlG5GkXZc6yapJgOcNEB113106uKPrjrzvAMe1CjVAxOqzBy+Da3zNuVUJ92VajLASQNUd6NY26+T27HqD+Pp87u5Xs5uVa2tGoMQOinKlyxb0TEwobql+O6/vQDARiNXPsXr2qSVDHDSINP+B7D9gm/ocr1c+x/a9mvlav0RNthpdWoMQqilemBCdevaWydtQssWo7v9j4g02BngpEGm9vVyrLxergh2/z5q08q1cl13dhCEqtWaXBdWrjva9n+BSqtatfbWNnAxeWltGOAk1eyW+swLHwbgrRttsvpBEIa6Qat9zdGZw7dhxZKXARgycsOa647WYreotHbqGuAiYmPgv4AdgAQ+CfwZ+CEwEZgJfDgz/x4RAVxIZeLsxcDRmXl/cZyjgH8rDnt2Zl5VlO8KXAmsD9wEfC4zs57vSRqIarXKnXXjIzWX8qo5CKLr9U7gyNaBqMaI0XFty2nNCZw/9msr52EbWwlkrjsq1U+9W+AuBP5fZh4aESOAUcCXgF9n5lcj4jTgNOBU4ABgu+L2VuBi4K0RsQlwBjCFSgi8LyJuyMy/F/scC9xNJcDtD/yyzu9JGhTWZBAEHETLFkdyxtSq59Qa2dpNdxtga10Z1Bgx2r7mqF2gUv+qW4CLiDHA24GjATKzDWiLiIOAvYvdrgLuoBLgDgK+V7Sg3RURG0fE5sW+t2TmC8VxbwH2j4g7gNGZeVdR/j3gYAxwUl3VGgRx91MvcPdTL3Rqsas5srXoin1kxI5MXPokUAkAE5c+ybz5i5h4QD+9Ca3U3Txs7bpZyqrTNWxjR7vmqNTP6tkCNwmYB1wRETsD9wGfA16XmXOLfZ4FXlfc3xKYXfX8OUVZT+VzapSvIiKOA44D2Hrrrdf+HUnqsbu1eimjuxdvyUtDlrHR3AWsWDIWgEVsSeuKCdy8+Umdutu+MPefaVn0GHylMhrRa+jqpFZYqwrVMKFSNncBABuMGNZpEEv1iNF2XsMmNUY9A9ww4C3AP2Xm3RFxIZXu0g6ZmRFR92vWMvNS4FKAKVOmeI2c1Mdqh7rR3Fy0yHVao3KL0fywy/43nfcGZi4bymRmrSzsbhqTWqGuuznHBnMArHVOZk2v3J+wV8duj4zYkfvbxvPzsZ/tHMCfap+HrfJnoqVtNK1tCx0xKjWJega4OcCczLy7eHw9lQD3XERsnplziy7S54vtzwDV/7Xbqih7hpVdru3ldxTlW9XYX1ITWJP5u64ac3ynLtlOo12rd+wu1LUHk/WqWoLKPoiilxPhdtfdWfOcTNhrlVDb3fqiXVtVwdY2qZnULcBl5rMRMTsi3piZfwb2AVqL21HAV4uf/1M85QbgxIi4lsoghgVFyLsZODciXlPsty/wxcx8ISIWRsQeVAYxfAL4Zr3ej6T6qXVdXcdo16k1Rrt2VSOYcMX7Kvt2XV2iXW/K+roFb00GcfRyItzuzNzwzbSumMBVY46vFLQVG54GioEo7WotT+UEulJzq/co1H8CrilGoD4JTAWGAD+KiGOAWcCHi31vojKFyONUphGZClAEtS8D9xb7TWsf0AB8hpXTiPwSBzBIpVR7cuFKyDi8Kmy0bH4QlfFOdJqbDqBl2WjOqD5A9dqaXVuveqO6ta+W7lrGVndMqATOrq1lXefRax/tOfUXa1534NT287Z4ZbdoLbaqSeVU1wCXmQ9Qmf6jq31q7JvAP3ZznMuBy2uUz6Ayx5ykAaY6VKxuAfP2UbDX3zenav+qsNflGrxetS6tbnRmLVX7zZy/iEVtywCqJrjdkVnDtuWqtuNhk+I5bXDUqO8wYdkTrHil2G/uAmBrZnVZzL1a9XuqVda+8LvXq0kDkysxSGpKa9KFV+t6rVq6215rFG2nANiltQ/oFMA6jl9jMfa3TtqEWqpfq72bs+tEuEBHC9qasmVNGtgMcJJKr7dhr3a37MoRl92FrVpqtYBVczF2SfVkgJM0aHTXImXYklQ2BjhJg4YBTdJAMaTRFZAkSdKaMcBJkiSVjAFOkiSpZAxwkiRJJWOAkyRJKhkDnCRJUskY4CRJkkrGACdJklQyBjhJkqSSMcBJkiSVjAFOkiSpZNY4wEXEayJip3pURpIkSavXqwAXEXdExOiI2AS4H/huRPxnfasmSZKkWnrbAjcmMxcCHwK+l5lvBd5dv2pJkiSpO70NcMMiYnPgw8DP61gfSZIkrUZvA9xZwM3A45l5b0RsA/ylftWSJElSd4b1cr+5mdkxcCEzn/QaOEmSpMbobQvcN3tZJkmSpDrrsQUuIt4G/B9gXET8c9Wm0cDQelZMkiRJta2uC3UEsGGx30ZV5QuBQ+tVKUmSJHWvxwCXmb8BfhMRV2bmrH6qkyRJknrQ20EM60XEpcDE6udk5rvqUSlJkiR1r7cB7jrgO8B/AcvrVx1JkiStTm8D3LLMvLiuNZEkSVKv9HYakRsj4jMRsXlEbNJ+q2vNJEmSVFNvW+COKn6eXFWWwDZ9Wx1JkiStTq8CXGZOqndFJEmS1Du9CnAR8Yla5Zn5vb6tjiRJklant12ou1XdHwnsA9wPGOAkSZL6WW+7UP+p+nFEbAxcW48KSZIkqWe9HYXa1SLA6+IkSZIaoLfXwN1IZdQpVBax3x74Ub0qJUmSpO719hq486vuLwNmZeacOtRHkiRJq9GrLtRiUfs/ARsBrwHa6lkpSZIkda9XAS4iPgzcAxwGfBi4OyIOrWfFJEmSVFtvu1D/FdgtM58HiIhxwK3A9fWqmCRJkmrr7SjUIe3hrTB/DZ4rSZKkPtTbFrj/FxE3A/9dPD4cuKk+VZIkSVJPegxwEfF64HWZeXJEfAjYq9h0J3BNvSsnSZKkVa2uBe7rwBcBMvMnwE8AImLHYtuBdaybJEmSaljddWyvy8yHuhYWZRPrUiNJkiT1aHUBbuMetq3fh/WQJElSL60uwM2IiGO7FkbEp4D76lMlSZIk9WR118CdBPw0Ij7GysA2BRgBfLCO9ZIkSVI3egxwmfkc8H8i4p3ADkXxLzLztrrXTJIkSTX1ah64zLwduL3OdZEkSVIvuJqCJElSyRjgJEmSSsYAJ0mSVDIGOEmSpJIxwEmSJJWMAU6SJKlkDHCSJEklU/cAFxFDI+IPEfHz4vGkiLg7Ih6PiB9GxIiifL3i8ePF9olVx/hiUf7niNivqnz/ouzxiDit3u9FkiSpGfRHC9zngEerHv87cEFmvh74O3BMUX4M8Pei/IJiPyKiBTgCmAzsD3y7CIVDgYuAA4AW4CPFvpIkSQNaXQNcRGwFvA/4r+JxAO8Cri92uQo4uLh/UPGYYvs+xf4HAddm5quZ+RTwOLB7cXs8M5/MzDbg2mJfSZKkAa3eLXBfB04BVhSPxwIvZuay4vEcYMvi/pbAbIBi+4Ji/47yLs/prlySJGlAq1uAi4j3A89n5n31eo01qMtxETEjImbMmzev0dWRJElaJ/VsgdsT+EBEzKTSvfku4EJg44gYVuyzFfBMcf8ZYDxAsX0MML+6vMtzuitfRWZemplTMnPKuHHj1v2dSZIkNVDdAlxmfjEzt8rMiVQGIdyWmR8DbgcOLXY7Cvif4v4NxWOK7bdlZhblRxSjVCcB2wH3APcC2xWjWkcUr3FDvd6PJElSsxi2+l363KnAtRFxNvAH4LKi/DLg+xHxOPAClUBGZj4SET8CWoFlwD9m5nKAiDgRuBkYClyemY/06zuRJElqgH4JcJl5B3BHcf9JKiNIu+6zBDism+efA5xTo/wm4KY+rKokSVLTcyUGSZKkkjHASZIklYwBTpIkqWQMcJIkSSVjgJMkSSoZA5wkSVLJGOAkSZJKxgAnSZJUMgY4SZKkkjHASZIklYwBTpIkqWQMcJIkSSVjgJMkSSoZA5wkSVLJGOAkSZJKxgAnSZJUMgY4SZKkkjHASZIklYwBTpIkqWQMcJIkSSVjgJMkSSoZA5wkSVLJGOAkSZJKxgAnSZJUMgY4SZKkkjHASZIklYwBTpIkqWQMcJIkSSVjgJMkSSoZA5wkSVLJGOAkSZJKxgAnSZJUMgY4SZKkkjHASZIklYwBTpIkqWQMcJIkSSVjgJMkSSoZA5wkSVLJGOAkSZJKxgAnSZJUMgY4SZKkkjHASZIklYwBTpIkqWQMcJIkSSVjgJMkSSoZA5wkSVLJGOAkSZJKxgAnSZJUMgY4SZKkkjHASZIklYwBTpIkqWQMcJIkSSVjgJMkSSoZA5wkSVLJGOAkSZJKxgAnSZJUMgY4SZKkkqlbgIuI8RFxe0S0RsQjEfG5onyTiLglIv5S/HxNUR4R8Y2IeDwiHoyIt1Qd66hi/79ExFFV5btGxEPFc74REVGv9yNJktQs6tkCtwz4l8xsAfYA/jEiWoDTgF9n5nbAr4vHAAcA2xW344CLoRL4gDOAtwK7A2e0h75in2Ornrd/Hd+PJElSU6hbgMvMuZl5f3H/JeBRYEvgIOCqYrergIOL+wcB38uKu4CNI2JzYD/glsx8ITP/DtwC7F9sG52Zd2VmAt+rOpYkSdKA1S/XwEXERODNwN3A6zJzbrHpWeB1xf0tgdlVT5tTlPVUPqdGuSRJ0oBW9wAXERsCPwZOysyF1duKlrPshzocFxEzImLGvHnz6v1ykiRJdVXXABcRw6mEt2sy8ydF8XNF9yfFz+eL8meA8VVP36oo66l8qxrlq8jMSzNzSmZOGTdu3Lq9KUmSpAar5yjUAC4DHs3M/6zadAPQPpL0KOB/qso/UYxG3QNYUHS13gzsGxGvKQYv7AvcXGxbGBF7FK/1iapjSZIkDVjD6njsPYEjgYci4oGi7EvAV4EfRcQxwCzgw8W2m4D3Ao8Di4GpAJn5QkR8Gbi32G9aZr5Q3P8McCWwPvDL4iZJkjSg1S3AZeZ0oLt52fapsX8C/9jNsS4HLq9RPgPYYR2qKUmSVDquxCBJklQyBjhJkqSSMcBJkiSVjAFOkiSpZAxwkiRJJWOAkyRJKhkDnCRJUskY4CRJkkrGACdJklQyBjhJkqSSMcBJkiSVjAFOkiSpZAxwkiRJJWOAkyRJKhkDnCRJUskY4CRJkkrGACdJklQyBjhJkqSSMcBJkiSVjAFOkiSpZAxwkiRJJWOAkyRJKhkDnCRJUskMa3QFmsHSpUuZM2cOS5YsWWXb8nd9GYBHH320v6ulJjZy5Ei22morhg8f3uiqSJIGIQMcMGfOHDbaaCMmTpxIRHTa9srcyuP1N39TI6qmJpSZzJ8/nzlz5jBp0qRGV0eSNAjZhQosWbKEsWPHrhLepFoigrFjx9ZssZUkqT8Y4AqGN60Jf18kSY1kgFtLh19yJ4dfcmddX+O6665j++23553vfCd33HEHv//979f4GFdeeSUnnnhiHWonSZIaxQDXxC677DK++93vcvvtt69VgFu2bNk612Fdj9EXdZAkSZ0Z4JrEwQcfzK677srkyZO59NJLmTZtGtOnT+eYY47hsMMO4zvf+Q4XXHABu+yyC7/73e+YN28ehxxyCLvtthu77bYb//u//wvAmWeeyZFHHsmee+7JkUceCcDs2bPZe++92W677TjrrLMAmDlzJjvssEPH659//vmceeaZAOy9996cdNJJTJkyhQsvvJC9996bU089ld133503vOEN/O53vwNg+fLlnHzyyey2227stNNOXHLJJQDccccd/MM//AMf+MAHaGlp6a9TKEnSoOEo1CZx+eWXs8kmm/DKK6+w22678Zvf/IbbbruN888/nylTpnDmmWey4YYb8oUvfAGAj370o3z+859nr7324umnn2a//fbrmOqktbWV6dOns/7663PllVdyzz338PDDDzNq1Ch222033ve+97Hpppv2WJ+2tjZmzJgBwI033siyZcu45557uOmmmzjrrLO49dZbueyyyxgzZgz33nsvr776KnvuuSf77rsvAPfffz8PP/ywozQlSaoDA1wXZ934CK1/XdjxeEXbYgD+NH9Wp/0Wv1rpGtzxzJs7lbdsPnqVY7ZsMZozDpzc4+t+4xvf4Kc//SlQaTH7y1/+0uP+t956K62trR2PFy5cyMsvvwzABz7wAdZff/2Obe95z3sYO3YsAB/60IeYPn06Bx98cI/HP/zwwzs9/tCHPgTArrvuysyZMwH41a9+xYMPPsj1118PwIIFC/jLX/7CiBEj2H333Q1vkiTViQGuCdxxxx3ceuut3HnnnYwaNYq99957tVNUrFixgrvuuouRI0eusm2DDTbo9LjriMmIYNiwYaxYsaKjrOvrdT3GeuutB8DQoUM7rmvLTL75zW+y3377rfJ+uj5fkiT1HQNcF11byl6Z+ydg1Yl820eg/vDTb1vn11ywYAGvec1rGDVqFH/605+46667Vtlno402YuHClS2D++67L9/85jc5+eSTAXjggQfYZZddah7/lltu4YUXXmD99dfnZz/7GZdffjmve93reP7555k/fz4bbrghP//5z9l///3XqN777bcfF198Me9617sYPnw4jz32GFtuueUaHUOSJK05BzE0gf33359ly5ax/fbbc9ppp7HHHnusss+BBx7IT3/6045BDN/4xjeYMWMGO+20Ey0tLXznO9/p9vi77747hxxyCDvttBOHHHIIU6ZMYfjw4Zx++unsvvvuvOc97+FNb1rzlSY+9alP0dLSwlve8hZ22GEHPv3pTzvqVJKkfhCZ2eg69KspU6Zk+8X57R599FG23377mvv3Rwucyqmn3xtJkto9cu5eAEz+0vQ1fm5E3JeZU7qW2wInSZJUMl4Dt5ZseZMkSY1iC5wkSVLJGOAkSZJKxgAnSZJUMgY4SZKkkjHAra0r3le5Nci5557bcb/rwvTVTj/9dG699dYej/XAAw+wxx57sMsuuzBlyhTuueeeVfa58sorOfHEE9et0nVw3XXXsf322/POd74TgI985CPstNNOXHDBBWt0nBdffJFvf/vb9aiiJEl9zgBXUtUBrifTpk3j3e9+d4/7nHLKKZxxxhk88MADTJs2jVNOOaUvqtgvLrvsMr773e9y++238+yzz3Lvvffy4IMP8vnPf36NjmOAkySViQGuCcycOZM3velNfOxjH2P77bfn0EMPZfHixdx2222dFp2/5ZZb+OAHP8hpp53GK6+8wi677MLHPvYxAJYvX86xxx7L5MmT2XfffXnllVcAOProozsWm582bRq77bYbO+ywA8cddxztkzhHRMcyXQsWLGCLLbaoWc/Zs2ez9957s91223HWWWd1lF999dXsvvvu7LLLLnz6059m+fLlAJxwwglMmTKFyZMnc8YZZ3TsP3HiRL74xS92tPjdf//97Lfffmy77bbdrihR6zWmTZvG9OnTOeaYYzj55JPZd999eeaZZzpWq3jiiSfYf//92XXXXfmHf/gH/vSnyqTMzz33HB/84AfZeeed2Xnnnfn973/PaaedxhNPPMEuu+zCySefzNy5c3n729/OLrvswg477MDvfve7Nf5cJUmqm8wcVLddd901u2ptbV2lrN3ivz6ai//66KobLn9v5dYHnnrqqQRy+vTpmZk5derU/NrXvpYrVqzIN77xjfn8889nZuZHPvKRvOGGGzIzc4MNNuj0/KFDh+Yf/vCHzMw87LDD8vvf/35mZh511FF53XXXZWbm/PnzO57z8Y9/vONYra2tOX78+Nxqq61yiy22yJkzZ65SxyuuuCI322yz/Nvf/paLFy/OyZMn57333putra35/ve/P9va2jIz84QTTsirrrqq0+stW7Ys3/GOd+Qf//jHzMycMGFCfvvb387MzJNOOil33HHHXLhwYT7//PP52te+dpXX7uk13vGOd+S9997bcR4mT57c8bx3vetd+dhjj2Vm5l133ZXvfOc7MzPzwx/+cF5wwQUddXvxxRdXee7555+fZ599dsc+CxcurFkvSZJW5+Fz9syHz9lzrZ4LzMgaecaJfLv65Wnw7EMdD0e0La7ceeHxzvu1Lar8/Mr4zuWb7bTqMTfbEQ74ao8vO378ePbcc08APv7xj/ONb3yDL3zhCxx55JFcffXVTJ06lTvvvJPvfe97NZ8/adKkjsXsd911V2bOnLnKPrfffjvnnXceixcv5oUXXmDy5MkceOCBXHzxxVxwwQUccsgh/OhHP+KYY46ped3ce97zHsaOHQvAhz70IaZPn86wYcO477772G233QB45ZVXeO1rXwvAj370Iy699FKWLVvG3LlzaW1tZaedKufnAx/4AAA77rgjL7/8MhtttBEbbbQR6623Hi+++CIbb7xxx+v++te/7vY1uvPyyy/z+9//nsMOO6yj7NVXXwXgtttu6ziPQ4cOZcyYMfz973/v9PzddtuNT37ykyxdupSDDz6449xKktQMDHBNIiJqPp46dSoHHnggI0eO5LDDDmPYsNof2Xrrrddxf+jQoR1dqO2WLFnCZz7zGWbMmMH48eM588wzWbJkCQBXXXUVF154IQCHHXYYn/rUp3pdx8zkqKOO4itf+UqnbU899RTnn38+9957L695zWs4+uijO16vur5DhgzpVPchQ4awbNmyTsfq7jV6smLFCjbeeGMeeOCBXj+n2tvf/nZ++9vf8otf/IKjjz6af/7nf+YTn/jEWh1LkqS+ZoDrqktLWVs3i9l3jECd+os+edmnn36aO++8k7e97W384Ac/YK+9KgvfbrHFFmyxxRacffbZnVrFhg8fztKlSxk+fHivjt8enjbddFNefvllrr/+eg499NCO1/jNb37D3nvvzW233cZ2221X8xi33HILL7zwAuuvvz4/+9nPuPzyyxk1ahQHHXQQn//853nta1/LCy+8wEsvvcTChQvZYIMNGDNmDM899xy//OUv2Xvvvdfq3Oyzzz41X2PChAndPmf06NFMmjSJ6667jsMOO4zM5MEHH2TnnXdmn3324eKLL+akk05i+fLlHS2AL730UsfzZ82axVZbbcWxxx7Lq6++yv3332+AkyQ1DQNck3jjG9/IRRddxCc/+UlaWlo44YQTOrZ97GMfY968eWy//fYdZccddxw77bQTb3nLWzjnnHNWe/yNN96YY489lh122IHNNtusozsS4Lvf/S6f+9znWLZsGSNHjuTSSy+teYzdd9+dQw45hDlz5vDxj3+cKVOmAHD22Wez7777smLFCoYPH85FF13EHnvswZvf/Gbe9KY3deoeXhstLS01X6OnAAdwzTXXcMIJJ3D22WezdOlSjjjiCHbeeWcuvPBCjjvuOC677DKGDh3KxRdfzNve9jb23HNPdthhBw444AB22GEHvva1rzF8+HA23HDDbruuJUlqhMhiJOJgMWXKlJwxY0anskcffbRTOKr2Sj+0wM2cOZP3v//9PPzwwzW3n3jiibz5zW/mmGOOWefXUt/p6fdGkqR2j5xb6VWb/KXpa/zciLgvM6d0LbcFrsntuuuubLDBBvzHf/xHo6siSZKahAFubfXRtW9QmRetu9a3++67r89eR5IkDQxO5CtJklQyBrjCYLsWUOvG3xdJUiMZ4ICRI0cyf/58/yirVzKT+fPnM3LkyEZXRZI0SHkNHLDVVlsxZ84c5s2bt8q2pQueBWD4i4Y7rTRy5Ei22mqrRldDkjRINWWAi4jxwPeA1wEJXJqZF3bZJ4ALgUOBTYB5wEWZ2fOaVTUMHz6cSZMm1dz2yLnHArD9Wgz9lSRJqodm7UJdBvxLZrYAewD/GBEtXfY5ANgOeAX4KDAX+EiN/SRJkgaUpgxwmTk3M+8v7r8EPAps2WW3g4A7gccz8yfAGOAXRbkkSdKA1ZQBrlpETATeDNzdZdOWwApgdvF4DrCEVYOeJEnSgNKU18C1i4gNgR8DJ2XmwnU4zveBDwFssMEGHWt4rpGfrMVzJEmS2q1dlnhLrcKmDXARMZxKeLum6CLt6hkqLYjji8dbASOL8k4y80jgSKi9FqokSVIzioj7a5U3ZRdqMcL0MuDRzPzPbna7Afg/wHYR8UFgIfC+olySJGnAatYWuD2ptJg9FBEPFGVfArYGyMzvADcB7wV2Bq6lMo3IxZn5SL/XVpIkqR81ZYDLzOlArGafBP6xuEmSJA0aTdmFKkmSpO4Z4CRJkkrGACdJklQyBjhJkqSSMcBJkiSVjAFOkiSpZAxwkiRJJWOAkyRJKhkDnCRJUskY4CRJkkrGACdJklQyBjhJkqSSMcBJkiSVjAFOkiSpZAxwkiRJJWOAkyRJKhkDnCRJUskY4CRJkkrGACdJklQyTRvgIuLyiHg+Ih7uZvveEbEgIh4obqf3dx0lSZIaYVijK9CDK4FvAd/rYZ/fZeb7+6c6kiRJzaFpW+Ay87fAC42uhyRJUrNp2gDXS2+LiD9GxC8jYnJ3O0XEcRExIyJmzJs3rz/rJ0mS1OfKHODuByZk5s7AN4GfdbdjZl6amVMyc8q4ceP6q36SJEl1UdoAl5kLM/Pl4v5NwPCI2LTB1ZIkSaq70ga4iNgsIqK4vzuV9zK/sbWSJEmqv6YdhRoR/w3sDWwaEXOAM4DhAJn5HeBQ4ISIWAa8AhyRmdmg6kqSJPWbpg1wmfmR1Wz/FpVpRiRJkgaV0nahSpIkDVYGOEmSpJIxwEmSJJWMAU6SJKlkDHCSJEklY4CTJEkqGQOcJElSyRjgJEmSSsYAJ0mSVDIGOEmSpJIxwEmSJJVMvwS4iNgqIn4aEfMi4vmI+HFEbNUfry1JkjTQ9FcL3BXADcDmwBbAjUWZJEmS1lB/BbhxmXlFZi4rblcC4/rptSVJkgaU/gpw8yPi4xExtLh9HJjfT68tSZI0oPRXgPsk8GHgWWAucCgwtZ9eW5IkaUAZ1h8vkpmzgA/0x2tJkiQNdHUNcBFxSmaeFxHfBLLr9sz8bD1fX5IkaSCqdxfqo8XPGcB9NW7diojLiylHHu5me0TENyLi8Yh4MCLe0pcVV/1dc801TJw4kSFDhjBx4kSuueaaRlep4TwnkgabZv3ea9Z6dcjMut+Aw3pT1mX724G3AA93s/29wC+BAPYA7u5NXXbddddcG1dffXVOmDAhIyInTJiQV199da/L1vX59Thmo59/9dVX56hRo5JKy2wCOWrUqDzhhBMG7Tnti3OyLr+7ZT+na/L+12S/Rv9ONFudmvUzLct7avTz63FO1+WYJ5xwQs3vvUZ/pn3xfbwm56onwIyslYNqFfb1Dbi/N2U19pnYQ4C7BPhI1eM/A5uv7phrE+BqfZDDhw/PESNGrLas/QNf2+fX45jN8PyxY8d2Kmu/RcSgPafrek56++U4EM9pT1+svfkS7u6PSCN/Jxp9Thv9/DX5TD2njTun63rMrt9v7bexY8eW+vu4p2C6pmhEgAMOAL4JPAd8o+p2JXBPL54/ke4D3M+Bvaoe/xqY0s2+x1Hpxp0xZsyYTid0xowZOWPGjE5lZ5xxRmZmbr755jU/QG/emvXW9YvEm7eBduvuD763tb8NHz58wH1Ozfr6EyZMyGOPPbZT2TPPPJM33HBDp7JLLrmkPbwl3QS4KAJOXUTEzsAuwDTg9KpNLwG3Z+bfV/P8icDPM3OHGtt+Dnw1M6cXj38NnJqZM3o65pQpU3LGjB53WcWQIUOo53mSJEkDX0SwYsWKNX3OfZk5pWt5XQcxZOYfM/Mq4PWZeVXV7SerC2+98AwwvurxVkVZn9t6663X6flDhw7to5r03TEb/fyxY8cyatSoTmUR0W+vX49jNvqcrKuBeE7XVTPWv9F1avTz66HR76nRz2+0rt9zo0aNYuzYset0zEZ/H3f3+uuaJ6r110S+EyPi+ohojYgn22/reMwbgE8Uo1H3ABZk5tw+qOsqzjnnnFU+yOHDhzNixIjVlo0aNYrjjjturZ9fj2M2w/MvvPBCLr30UiZMmEBEMGHCBI4//vheHXOgntN1PSfdfeF1/dIZiOe0uy/WNfkSrvVHpJG/E40+p41+/pp8pp7Txp3TdT3mqFGjOP744zt971166aVceOGFpf4+rvX6o0aN4pxzzqHP1PMauKpr0KYD+wAPAhOAM4Fpq3nOf1NZtWEpMAc4BjgeOL7YHsBFwBPAQ3Rz/VvXm6NQm+f563KeB+o5XdffvXqMmmr0OenrkWw9DVhott+JZv09bbbP1HPauHPaF8fsi+++epzTevyNWhs0eBTqfcXPh7qW9fdtbQOcVAZ99YVRRuv6Jazm4+fU9+pxTv2c6qu7AFfXQQztIuL3wF7A9cBtVK5V+2pmvrHuL97F2gxikCRJaoSGDGKo8jlgFPBZYFfgSOAT/fTakiRJA0p/LWZ/b3H3ZWBqRAwFjgDu7o/XlyRJGkjq2gIXEaMj4osR8a2I2LcYMXoi8Djw4Xq+tiRJ0kBV7xa47wN/B+4EPgV8icro0Q9m5gN1fm1JkqQBqd4BbpvM3BEgIv6LyrQgW2fmkjq/riRJ0oBV70EMS9vvZOZyYI7hTZIkad3UuwVu54hYWNwPYP3icQCZmaPr/PqSJEkDTl0DXGaWe4E2SZKkJtRf88BJkiSpjxjgJEmSSsYAJ0mSVDIGOEmSpJIxwEmSJJWMAU6SJKlkDHCSJEklY4CTJEkqGQOcJElSyTRtgIuI/SPizxHxeEScVmP70RExLyIeKG6fakQ9JUmS+lu910JdKxExFLgIeA8wB7g3Im7IzNYuu/4wM0/s9wpKkiQ1ULO2wO0OPJ6ZT2ZmG3AtcFCD6yRJktQUmjXAbQnMrno8pyjr6pCIeDAiro+I8f1TNUmSpMZq1gDXGzcCEzNzJ+AW4KrudoyI4yJiRkTMmDdvXr9VUJIkqR6aNcA9A1S3qG1VlHXIzPmZ+Wrx8L+AXbs7WGZemplTMnPKuHHj+ryykiRJ/alZA9y9wHYRMSkiRgBHADdU7xARm1c9/ADwaD/WT5IkqWGachRqZi6LiBOBm4GhwOWZ+UhETANmZOYNwGcj4gPAMuAF4OiGVViSJKkfRWY2ug79asqUKTljxoxGV0OSJGm1IuK+zJzStbxZu1AlSZLUDQOcJElSyRjgJEmSSsYAJ0mSVDIGOEmSpJIxwEmSJJWMAU6SJKlkDHCSJEklY4CTJEkqGQOcJElSyRjgJEmSSsYAJ0mSVDIGOEmSpJIxwEmSJJWMAU6SJKlkDHCSJEklY4CTJEkqGQOcJElSyTRtgIuI/SPizxHxeEScVmP7ehHxw2L73RExsQHVlCRJ6ndNGeAiYihwEXAA0AJ8JCJauux2DPD3zHw9cAHw7/1bS0mSpMZoygAH7A48nplPZmYbcC1wUJd9DgKuKu5fD+wTEdGPdZQkSWqIZg1wWwKzqx7PKcpq7pOZy4AFwNh+qZ0kSVIDDWt0BfpDRBwHHFc8fDki/lznl9wU+FudX2Mw8Xz2Pc9p3/Oc9i3PZ9/znPat/jqfE2oVNmuAewYYX/V4q6Ks1j5zImIYMAaYX+tgmXkpcGkd6llTRMzIzCn99XoDneez73lO+57ntG95Pvue57RvNfp8NmsX6r3AdhExKSJGAEcAN3TZ5wbgqOL+ocBtmZn9WEdJkqSGaMoWuMxcFhEnAjcDQ4HLM/ORiJgGzMjMG4DLgO9HxOPAC1RCniRJ0oDXlAEOIDNvAm7qUnZ61f0lwGH9Xa9e6rfu2kHC89n3PKd9z3Patzyffc9z2rcaej7DXkdJkqRyadZr4CRJktQNA1ydRMSXI+LBiHggIn4VEVs0uk5lFhFfi4g/Fef0pxGxcaPrVHYRcVhEPBIRKyLCkWlraXXL/mnNRMTlEfF8RDzc6LoMBBExPiJuj4jW4t/75xpdp7KLiJERcU9E/LE4p2c1pB52odZHRIzOzIXF/c8CLZl5fIOrVVoRsS+VkcbLIuLfATLz1AZXq9QiYntgBXAJ8IXMnNHgKpVOsezfY8B7qEw4fi/wkcxsbWjFSiwi3g68DHwvM3dodH3KLiI2BzbPzPsjYiPgPuBgf0fXXrHq0waZ+XJEDAemA5/LzLv6sx62wNVJe3grbACYlNdBZv6qWHED4C4qcwNqHWTmo5lZ70mtB7reLPunNZCZv6Uys4D6QGbOzcz7i/svAY+y6spGWgNZ8XLxcHhx6/e/8Qa4OoqIcyJiNvAx4PTV7a9e+yTwy0ZXQqJ3y/5JTSEiJgJvBu5ucFVKLyKGRsQDwPPALZnZ7+fUALcOIuLWiHi4xu0ggMz818wcD1wDnNjY2ja/1Z3PYp9/BZZROadajd6cU0kDX0RsCPwYOKlLD5HWQmYuz8xdqPQG7R4R/d7d37TzwJVBZr67l7teQ2VOuzPqWJ3SW935jIijgfcD+7jqRu+swe+o1k5vlv2TGqq4TuvHwDWZ+ZNG12cgycwXI+J2YH+gXwfe2AJXJxGxXdXDg4A/NaouA0FE7A+cAnwgMxc3uj5SoTfL/kkNU1xwfxnwaGb+Z6PrMxBExLj2mRAiYn0qg5j6/W+8o1DrJCJ+DLyRyii/WcDxmen/zNdSsWTaesD8ouguR/Wum4j4IPBNYBzwIvBAZu7X0EqVUES8F/g6K5f9O6exNSq3iPhvYG9gU+A54IzMvKyhlSqxiNgL+B3wEJW/RwBfKlY70lqIiJ2Aq6j8mx8C/Cgzp/V7PQxwkiRJ5WIXqiRJUskY4CRJkkrGACdJklQyBjhJkqSSMcBJkiSVjAFOknopIpZHxAPFahbXRcSoiJgYETUn8IyIaRHhZMqS+pzTiEhSL0XEy5m5YXH/GuA+4CfAzzOz35fSkTR42QInSWvnd8Dri/tDI+K7EfFIRPyqmJ2diLgyIg5tXBUlDVQGOElaQxExDDiAyuz2ANsBF2XmZCqrWhzSoKpJGiQMcJLUe+tHxAPADOBpKmtMAjyVmQ8U9+8DJvZ7zSQNKsMaXQFJKpFXMnOX6oLKWuG8WlW0HFi/H+skaRCyBU6SJKlkDHCSJEkl4zQikiRJJWMLnCRJUskY4CRJkkrGACdJklQyBjhJkqSSMcBJkiSVjAFOkiSpZAxwkiRJJWOAkyRJKpn/D/yzqSQxUlefAAAAAElFTkSuQmCC\n",
    
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          "text/plain": [
    
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           "<Figure size 720x576 with 2 Axes>"
    
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          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
    
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        "def compare_divide(hist_name, num_label, denom_label, title, xlabel, file_name, xlim=None, ylim=None, fig=None):\n",
        "    if not fig:\n",
        "        fig = plt.figure(figsize=(10, 8))\n",
        "\n",
        "    ab_phi_hist = afterburner_file[hist_name].to_hist()\n",
        "    py8_phi_hist = full_py8_file[hist_name].to_hist()\n",
    
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        "\n",
    
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        "    # Comparison plot\n",
        "    top_art, bottom_art = ab_phi_hist.plot_ratio(\n",
        "        py8_phi_hist,\n",
        "        rp_num_label=num_label,\n",
        "        rp_denom_label=denom_label)\n",
    
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        "\n",
    
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        "    ax = fig.axes[0];\n",
        "    ax.set_title(title)\n",
        "    if ylim:\n",
        "        bottom_art.line.axes.set_ylim(ylim[0], ylim[1])\n",
        "    if xlim:\n",
        "        bottom_art.line.axes.set_xlim(xlim[0], xlim[1])\n",
        "    bottom_art.line.axes.set_xlabel(xlabel)\n",
        "    fig.savefig(f'pics/{out_prefix}_{file_name}.png', dpi=224)\n",
        "    return ax\n",
    
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        "\n",
    
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        "compare_divide(hist_name='partPhi', num_label=\"afterburner\", denom_label=\"pythia8 beam effects\", \n",
        "               title=\"Final state particles Phi comparison\", xlabel=\"Phi\", file_name=\"phi_comparison\", \n",
        "               ylim=(0, 2), xlim=(-3.3, 3.3))\n"
    
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       ]
      },
      {
       "cell_type": "code",
       "execution_count": 8,
       "metadata": {},
       "outputs": [
        {
    
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         "data": {
    
          "image/png": 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\n",
 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          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
    
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        "compare_before_after_pythia_1d('partEta', 'Eta comparison', 'eta', '')"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 9,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
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          "text/plain": [
           "<AxesSubplot:title={'center':'Final state particles Eta comparison'}, xlabel='xaxis', ylabel='Counts'>"
          ]
         },
         "execution_count": 9,
         "metadata": {},
         "output_type": "execute_result"
        },
        {
         "data": {
    
          "image/png": 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nfxvyIkcoVrO2cSxZHKIkazMA/81/MfqtXay98QhqjphC6ZwlqXkB0iYlbtJeye4DlwP0NbMcoB+wHfgY8Hjw/FLgguD++cFjgufPsFAvyfOBn7t7nbtvAjYCJwW3je7+prvXE6rVOz/Jr0dEpFvNf6q8KXmbXDSUk8YeHkrQIpO3uqA5NWsTJX3fg5NnU/aBz9FINgBZNDLwvfUpiF5EkiVpNXDuvs3M7gQ2AweA3xNqMn3P3cPTKG8FjgzuHwlsCfZtMLM9hJpZjwQie19G7rMlqvzkJLwUEZGUKL31D+RVV7I890dYHzh65y7wA1B4Glzx2/c3fHourFkOuQPgO6FELdzjqfzW02is3acRayI9TDKbUA8jVCM2FngPeAw4O1nnayOWWcAsgDFjxqQiBBGRhJUtnEn/Hav4ve1gS25kjVsW0B+OmNB8h3NuD91iKLn+BcpvPa3ZcQE1qYpkuGSOQv04sMnddwGY2S+BU4EhZpYT1MKNArYF228DRgNbgybXwYQGM4TLwyL3iVfejLsvBhZDaBBD51+aiEjyhJo7G8nCOSpnN0yZHTdBS1htNQN3hBoz9pPP/C0TKX2qXKNURTJUMhO4zUCpmfUj1IR6BrAaeA64kFCftRnAE8H2TwaPXwye/5O7u5k9CTxiZv9FaBDD0cDLgAFHm9lYQonbF4BLkvh6RESSKjzSdHTdJdwx8BEGXP+PLjnu3iHFzWrebnvrRKAx5hJPkiI/PS/0M7JpXKQVSesW4e4vERqM8CqhKUSyCNWCfQ/4tpltJNTH7f5gl/uBgqD828Dc4DjlwKPAOuB3wFfd/VBQg3c18AywHng02FZEJCNNWf8Dljd+jzv63Ev/3K77/7p0zhIm3LyGCTevoXTOEp7ofytP513PAzs+C7eNDvWhk17t1ltvbbofvSh9pBtvvJE//OEPrR5rzZo1lJaWMnHiRCZPnszLL7/cYpsHH3yQq6++unNBJ8Fjjz1GcXExH/3oRwG4+OKLOf7447nrrrvadZz33nuPhQsXJiPEJkmdyNfd5wHzoorfJDSCNHrbWuCiOMdZACyIUb4CWNH5SEVEUuf9mreTeSrvSbLzBkDJuck7Ye4AauoP8cahD5B9oJH+5WUUnZO800n6u/XWW7n++uvb3O7mm29uc5trr72WefPmcc4557BixQquvfZaVq5c2QVRJt/999/PkiVLOO2009ixYwerVq1i48aN7T5OOIGbM2dOEqIM0cAkEZEUW/dWaJqQ7CzYMuAEuG5L5/u8teY767nzxGepy+rLIbKoqW9oex/JGBUVFYwbN47p06dTXFzMhRdeyP79+/nTn/7UbMH5Z599lk9/+tPMnTuXAwcOMHHiRKZPnw7AoUOHmDlzJiUlJZx55pkcOHAAgC9+8YtNC83ffPPNTJkyheOOO45Zs2YRXhjAzKiuDjXP79mzh5EjR8aMc8uWLUydOpWjjz6a+fPnN5UvW7aMk046iYkTJ/KVr3yFQ4cOATB79mwmT55MSUkJ8+a9XzdUVFTEdddd11Tj9+qrr3LWWWdx1FFHxV1JItY5br75Zl544QWuvPJKrrnmGs4880y2bdvGxIkT+fOf/8wbb7zB2WefzaRJk/i3f/s3XnvtNQB27tzJpz/9aU444QROOOEE/vrXvzJ37lzeeOMNJk6cyDXXXMP27dv5yEc+wsSJEznuuOP485//3O7fawvu3qtukyZNchGRdPLb/7zc9900wv2mw9wfOLdbz/3PBad6w7wh7reOcl/xvW49d0+1bt269x+s+F7odxp9u3VU89tNh4Vu0eWx9m3j97Rp0yYH/IUXXnB39yuuuMLvuOMOb2xs9GOPPdbffvttd3e/+OKL/cknn3R39/79+zfbPzs72//2t7+5u/tFF13kDz/8sLu7z5gxwx977DF3d6+qqmra59JLL2061rp163z06NE+atQoHzlypFdUVLSI8ac//akfccQR/s477/j+/fu9pKTEV61a5evWrfNPfvKTXl9f7+7us2fP9qVLlzY7X0NDg59++un+97//3d3dCwsLfeHChe7u/s1vftMnTJjg1dXV/vbbb/sHPvCBmL+feOc4/fTTfdWqVU3vQ0lJSdN+H/vYx3zDhg3u7l5WVuYf/ehH3d39c5/7nN91111Nsb333nst9r3zzjv9lltuadqmurq6RVzh2KIBqz1GPqO1UEVEUmzRnpMpzP4bJX3fbTlFSJJV5hzFodp91B3ow80vjGFyg0am9gSjR4/m1FNPBeDSSy/lnnvu4bvf/S6XXXYZy5Yt44orruDFF1/koYceirn/2LFjmThxIgCTJk2ioqKixTbPPfccP/jBD9i/fz+7d++mpKSEadOmsWjRIu666y4++9nP8uijj3LllVfG7Df3iU98goKCAgA+85nP8MILL5CTk8Mrr7zClClTADhw4AAf+MAHAHj00UdZvHgxDQ0NbN++nXXr1nH88ccD8KlPfQqACRMmsG/fPgYOHMjAgQPJy8vjvffeY8iQIU3n/eMf/xj3HPHs27ePv/71r1x00fs9verq6gD405/+1PQ+ZmdnM3jwYN59991m+0+ZMoUvfelLHDx4kAsuuKDpve0MJXAiIilUtnAmt2eXhVZNuG5L2zt0sVXF1/K9YI3V27MXUbn+JZi2tO0dJTGJNoV38SjU0EJGLR9fccUVTJs2jfz8fC666CJycmKnAXl5eU33s7Ozm5pQw2pra5kzZw6rV69m9OjR3HTTTdTW1gKwdOlS7r77bgAuuugivvzlLycco7szY8YMbrvttmbPbdq0iTvvvJNVq1Zx2GGH8cUvfrHpfJHxZmVlNYs9KyuLhobmXQTinaM1jY2NDBkyhDVr1iS8T6SPfOQj/N///R+//e1v+eIXv8i3v/1tLr/88g4dK0x94EREUuHpuXDbaErffhQAt+yUhDFvWglrbzqLkwbvpSRrM4UNb6QkDulamzdv5sUXXwTgkUce4bTTQpM5jxw5kpEjR3LLLbdwxRVXNG3fp08fDh48mPDxw8nTsGHD2LdvX1O/uPA5nn/+eSBUO3X00UfHPMazzz7L7t27OXDgAL/+9a859dRTOeOMM3j88cd5++23Adi9ezeVlZVUV1fTv39/Bg8ezM6dO3n66afb8W40F+8crRk0aBBjx47lscceA0JJ4N///vem4y1atAgI9R3cs2cPAwcOZO/evU37V1ZWMnz4cGbOnMmXv/xlXn311Q7HH6YETkQkBSrKyyg/cBj/aBxL5YATOX7+K6kN6DvrKc+dALXVrL1xImULZ6Y2HumUY489lh//+McUFxfz7rvvMnv27Kbnpk+fzujRoykuLm4qmzVrFscff3zTIIa2DBkyhJkzZ3Lcccdx1llnNTVHAixZsoTvfOc7nHDCCVx//fUsXrw45jFOOukkPvvZz3L88cfz2c9+lsmTJzN+/HhuueUWzjzzTI4//ng+8YlPsH37dk444QQ+/OEPM27cOC655JKm5uGOiHeOtixfvpz777+fE044gZKSEp54IjSN7d13381zzz3HhAkTmDRpEuvWraOgoIBTTz2V4447jmuuuYaVK1c2vYZf/OIXfOMb3+hw/GHm3rsWJpg8ebKvXr061WGISC9XfutpXLP3ErbkHcWFk0alRb+z8FJbWTRC/iBKrn8h1SFlpPXr1zdLjhLShU2oFRUVfPKTn+Sf//xnzOevvvpqPvzhD3PllVd2+lzStWJ9dszsFXefHL2t+sCJiKTIHQMfSaskKbw2aji5PPj9n/JU7vfJ7z8IvrM+xdH1cN20AsOkSZPo378/P/zhD7vlfJI8SuBERKSZ/rk53NHnXsB5o2EojdXZdO/YWOmMoqKiuLVvr7yS4qZ66TLqAyci0o3KFs5k7Y0ToTZ91yEtKimlpO+7HJWzm5sPXk6t91G/OJE0owRORKS7PD2X0rcf5YP2Fo1ksXdIO/tJdZdzbofrtpB/4za+NXoD+Rwki0YGvqdm1ET1tv7l0nnt/cyoCVVEpLvsWAtAbfYAJty4JrWxJCiyX5wkJj8/n6qqKgoKClrMdSYSi7tTVVVFfn5+wvsogRMR6SYVVTVUN46ljr4UpDqYjgimGDk6Z5cGNrRi1KhRbN26lV27dqU6FMkg+fn5jBo1KuHtlcCJiHSTmvoGvndwJu8OPJayVAfTTnuHFNN/xyocyG/cB/XqgRNPnz59GDt2bKrDkB5Of4EiIt3ozoE/o+z6j6c6jHYrnbOErPwB1GX1DU34e8TxqQ5JpFdTDZyIiCSk5PoX+Px9L1Jd8Sq5+7N4ItUBifRiqoETEUm2YN3TcfXlqY6k08aPHATA97Me0NQiIimkBE5EJMnC656WNxZSmXNUqsPplHnTSpg3ek3T1CLzt0xkwk3PMP+pzE9ORTKJ1kIVEUmWp+fCmuUcqtvHtLoFabXuaVeouHMqNdW7OUQWX6v/GrvzR/Wo1yeSDrQWqohId9uxFuprqLW+XH3YS5x77ZxUR9SlikpKKX/pGbIbG1iY+9+M9l1UrDqCsi1TmuaPE5HkUBOqiEiSVFTVMK3+Fo6vXcLSwVelOpyud87tlNz0N0pOOY+Svu+RhZPNIQbuKFP/OJEkUwInIpIkNfUNHGqEfnk5TZ3/e6Rg6a0B83ey94hSGsluvvRWMIiD20aH7otIp6kJVUQkie4Y+Agl17+Q6jC6TbOlt4KVGyZkbQLLDm0QLCcmIp2jBE5ERLpceOWGD9pboYIxp4R+bn4xVBMHkDtAy3GJdJASOBGRJPjHvElkez3kD051KCkRron7+7wTscZGvvPGhQD8V9Y2OECoVq6uOpTMTZweaoYVkYQpgRMRSQLzQ0CoJqo3+0reD6ipP9TU4/oS/pO9tQ0UsoM7cu+j/4Fa+peXUXROauMUyTRK4EREkiArfwBAr59OI9a6r/OfKufxV3K4uG4ex1LJU/tuUE2cSDtpFKqISBea/1Q5E256hmv2XpLqUNLWvGklrL3pLN647TyuPuwlaq1vqDn1pUXww95dYymSKNXAiYh0oSnrf8CnG/9Odp9G+ucOTXU4aW/p4Kv42ruf44PZb/Nszjehfl+qQxLJCKqBExHpQoUNb1CSVUlJ33cpKilNdThpb/zIQfTLy+H1hg9wTt2tlB84TPPFiSQgaQmcmR1rZmsibtVm9k0zG2pmz5rZ68HPw4LtzczuMbONZvYPMzsx4lgzgu1fN7MZEeWTzGxtsM89ZmbJej0iIol6LbcErtui/lwJCDenXnFqEfs9n0ayoL5G88WJtCFpCZy7/8vdJ7r7RGASsB/4FTAX+KO7Hw38MXgMcA5wdHCbBSwCMLOhwDzgZOAkYF446Qu2mRmx39nJej0iIpI886aVcMTY8VxwcAHT6m+hoqom1SGJpLXuakI9A3jD3SuB84GlQflS4ILg/vnAQx5SBgwxsxHAWcCz7r7b3d8FngXODp4b5O5l7u7AQxHHEhHpVmULZ7L2xolQW53qUDJWuDn1UCOM3vd3NaWKtKK7ErgvAD8L7g939+3B/R3A8OD+kcCWiH22BmWtlW+NUd6Cmc0ys9VmtnrXrl2deR0iIjENfG89WTTSSFavn/uto8LNqVcf9hLljYWUHziMivKyVIclkpaSPgrVzHKBTwHXRT/n7m5mnuwY3H0xsBhg8uTJST+fiPRS+YOY0IvWPU2WVcXX8r1XtjK67g3uqH8k1eGIpKXuqIE7B3jV3XcGj3cGzZ8EP98OyrcBoyP2GxWUtVY+Kka5iIhksHBN3B0DH2FcfbmaUkVi6I4E7mLebz4FeBIIjySdATwRUX55MBq1FNgTNLU+A5xpZocFgxfOBJ4Jnqs2s9Jg9OnlEccSEek2/5g3CWr3pDqMHqcy56jQJL8alSrSQlITODPrD3wC+GVE8e3AJ8zsdeDjwWOAFcCbwEZgCTAHwN13A/8BrApuNwdlBNv8JNjnDeDpZL4eEZFYtO5pciwdfBXH1y7RqFSRGJLaB87da4CCqLIqQqNSo7d14KtxjvMA8ECM8tXAcV0SrIhIB2nd0+QYP3IQ67ZXs6BxMUX7NoWaUTW3ngiglRhERCRNhfvCHZkTTM2iZlSRJkrgREQkrU1tXMQ5dbeqGVUkghI4EZEOmv9UORNueoZr9l6S6lB6tP652YAm9xWJlPR54EREeqop63/Apxv/TnafRvrnDk11OD1W2fUfZ8UPHqb2QF/6a0SqCKAaOBGRDitseIOSrEpK+r5LUUlpqsPp0TQiVaQ51cCJiHTCa7kllFyn1ReSLTwi9VAd1NQ3pDockZRTDZyIiKS9yNUZREQJnIiIiEjGUQInItJOGn0qIqmmPnAiIu2k0acikmpK4ERE2qmw4Q3GZVWSnTcASs5NdTgi0gspgRMR6QCNPk2h2mrW3jiRmiOmaP1Z6bXUB05EpB1Kb/0D3917carD6LX2DimmkSyyaGTge+tTHY5IyqgGTkSkHe6ru5acPgfpn1uQ6lB6pXCNW/mtp6U4EpHUUgInItIOH8raQX+vgZLzUh2KiPRiSuBERNqhos8HASg55/YURyIivZn6wImISMYpOvgmJfVr4em5qQ5FJCWUwImISMbZ2HgE5Y1jqCgvS3UoIimhBE5ERDLOV/J+wHcPXqWF7aXXUh84EZEElC2cSf8dq8iiEfIHpTqcXq/s+o9TfutNqQ5DJGWUwImIJCA051gjjWRRM6Q41eGISC+nBE5EJFH5g5hwvVZfEJHUUx84EZHWPD0XbhvNuPryVEciItJECZyISGt2rIX6GmqtL5U5R6U6GhERQE2oIiJtG3MKX6r/PgDnpjgUiaKF7aWXUg2ciEgrKqpqmLbxPFZX7E51KBJFC9tLb6YaOBGRVtTUN3CoEfrl5TB+pKYPSSda2F56MyVwIiJtuGPgI5Ro9KmIpBE1oYqIxKLRpyKSxpKawJnZEDN73MxeM7P1ZnaKmQ01s2fN7PXg52HBtmZm95jZRjP7h5mdGHGcGcH2r5vZjIjySWa2NtjnHjOzZL4eEek9KsrLOFS3jxryNfpURNJOsmvg7gZ+5+7jgBOA9cBc4I/ufjTwx+AxwDnA0cFtFrAIwMyGAvOAk4GTgHnhpC/YZmbEfmcn+fWISC9RU9/AtLoFnMqDrCq+NtXhiIg0k7Q+cGY2GPgI8EUAd68H6s3sfGBqsNlSYCXwPeB84CF3d6AsqL0bEWz7rLvvDo77LHC2ma0EBrl7WVD+EHAB8HSyXpOI9C7q+5ZBNJ2I9DLJrIEbC+wCfmpmfzOzn5hZf2C4u28PttkBDA/uHwlsidh/a1DWWvnWGOUtmNksM1ttZqt37drVyZclIiLpRNOJSG+UzAQuBzgRWOTuHwZqeL+5FICgts2TGEP4PIvdfbK7Tz788MOTfToREelGpXOWMOHmNZCvaV6k90hmArcV2OruLwWPHyeU0O0MmkYJfr4dPL8NGB2x/6igrLXyUTHKRUQ65+m5lNSvpejgm6mOREQkpqQlcO6+A9hiZscGRWcA64AngfBI0hnAE8H9J4HLg9GopcCeoKn1GeBMMzssGLxwJvBM8Fy1mZUGo08vjziWiEjH7VgLQK3lpzgQEZHYkj2R79eA5WaWC7wJXEEoaXzUzK4EKoHPBduuILTM4EZgf7At7r7bzP4DWBVsd3N4QAMwB3gQ6Eto8IIGMIhIp1VU1TC77la25n2ItakORkQkhqQmcO6+Bpgc46kzYmzrwFfjHOcB4IEY5auB4zoXpYhIczX1DQD0z81OcSQiIrFpKS0RkRjuHPgzTSEiImlLS2mJiIRp+SwRyRBK4EREwnashfoaaq2vls8SkbSmBE5EJFBRVcO0+ls4vnYJSwdflepwpJ0aa/dB7R7KFs5MdSgiSacETkQkUFPfwKFG6JeXw/iRmhQ207iFBp1oNQbpDTSIQUQkgtY/zVzHz3+F8ltPS3UYIt1CNXAiIiIiGUYJnIiIRp+KSIZRE6qI9HoV5WXUHDiMQxSwNecoSlIdkIhIG5TAiUivV1PfwDUHr2JL3lFcWDyKc1MdkIhIG5TAiYigwQsiklnUB05Eeren51JSv5aig2+mOhLpIsfWl1Mzf6Tmg5MeTTVwItKrVZSXUdM4hgbrwwmpDkY6be+QYtbv2EcWjZoPTno0JXAi0qvV1Dfw3YNX8e7AYylLdTDSaaVzlgBoPjjp8ZTAiUivd+fAn6n/m4hkFPWBExEREckwSuBEREREMowSOBEREZEMoz5wIpI8T8+FNctD9ydOh3NuT208EcoWzqT/jlVk0Qj5g1IdjohIuyiBE5GuF07c6qpDjy0bdqxNbUxhQWylddWQBTXWn7VDTk51VCIi7aIETkS63o61UF8DeYNCNW/pkrxBU2w11p/n+36Cc69dSmmqYxIRaSf1gRORLldRVUN5n/F8fuijzG+4LNXhtDTmFL50xP+ydPBVqY5Ekmje3s8w7YaFWpFBeiTVwIlIl6upb+CavZewrno3L23azers8/jRYY9SlOrApNfYO6SYebUPhfo4vqc+jtLzqAZORJLijoGPcMWpRZw8dig39nmYmvqGVIcEBLWD2/ewbnt1qkORJCqds4QJN6/RABXpsVQDJyJJM29aCQDlt2anOJL3hWsHyYPxI3VxF5HMpARORLrW03MpqV9LjfVvVlxSvxZ+WAzfSf0C43cMfERLZ4lIRlMTqoh0rWDEaa3lNxVV5hwVujP0g6mI6H0/LA4lkiIiGU4JnIh0ufLcCcwZvrzp8dLBV1HWWExFVU0Ko6IpgWxKKEVEMpSaUEUk6caPHMT8isvIedd4KsWxlOdOYOngqzg3xXGIiHRGUmvgzKzCzNaa2RozWx2UDTWzZ83s9eDnYUG5mdk9ZrbRzP5hZidGHGdGsP3rZjYjonxScPyNwb6WzNcjIh0zb1oJdw78Gb/ucwPcNjq0GkJ3enpu6LybX+ze84qIJEl3NKF+1N0nuvvk4PFc4I/ufjTwx+AxwDnA0cFtFrAIQgkfMA84GTgJmBdO+oJtZkbsd3byX46ItKaiqoa9tS2nDKnMOYpa6xtaoaG7V2YIVl9Y2ziGOdVXdO+5RUSSIBV94M4Hlgb3lwIXRJQ/5CFlwBAzGwGcBTzr7rvd/V3gWeDs4LlB7l7m7g48FHEsEUmRmvoG5h+8jMqo/m5LB1/F8bVLmFZ/S2r6wo05hVtGLqKSIzR9SC/TNAJapAdJdgLnwO/N7BUzmxWUDXf37cH9HcDw4P6RwJaIfbcGZa2Vb41R3oKZzTKz1Wa2eteuXZ15PSKSgDsH/oyy6z/erGz8yEH0y8vhUCPdPqlvRVUN0zaex+qK3Zw8dmjT/HTS81XmHEV54xjWVuelOhSRLpXsQQynufs2M/sA8KyZvRb5pLu7mXmSY8DdFwOLASZPnpz084lIS/OmlTBvWgnlt57W7eeuqW/gxj4Pc+eI/1LtWy+zqvhafvTXleRkpX4AjUhXSmoC5+7bgp9vm9mvCPVh22lmI9x9e9AM+naw+TZgdMTuo4KybcDUqPKVQfmoGNuLSJobV18eGlQwcTqcc3vyTvT0XFiznHH1+3gtt4RffOWU5J1L0tK8aSWUr/1K8GhOSmMR6UpJa0I1s/5mNjB8HzgT+CfwJBAeSToDeCK4/yRweTAatRTYEzS1PgOcaWaHBYMXzgSeCZ6rNrPSYPTp5RHHEpE01a2DGYLBC7XWV3O/iUiPkswauOHAr4KZPXKAR9z9d2a2CnjUzK4EKoHPBduvAM4FNgL7gSsA3H23mf0HsCrY7mZ33x3cnwM8CPQFng5uIpLGlg6+iqWDr+IXubd0zwnHnMKX6r8PoLnfRKTHSFoC5+5vAifEKK8CzohR7sBX4xzrAeCBGOWrgeM6HayI9Dw/LIa9b0Fh9/e5ExFJNi2lJSLdbt32asq370nudCL1+0I/j5iQvHOIiKSIEjgR6VbhUaDX7L0kudOJHHE8FQM+zISXPsrqit1tby8ikkGUwIlIt5o3rYS1N53FHQMfeX80apKW1goniJOLhmr6EBHpUbSYvYikRGXOURQdfJP+SR6NOn7EIE0fIt03dY1IN1ENnIikxNLBV/GlI/4XxnRxchUsXF++aQvf3Xtx1x5bMlJK1+EVSRIlcCKSMqsrdjNt43lQ+ULXNaMGc781ksV+z1fTqaR+HV6RJFATqoikxPiRg1i3vZr/aPxJqKCzNSPBqgvU14QWrq//PkeA1j2Vps/aobruX4dXJFnaXQMXrIhwfDKCEZHeIzyY4bYjf0x5bhdM9RHUvJHbX1OHSDORA2dEeoqEEjgzW2lmg8xsKPAqsMTM/iu5oYlIb7BuezXf3Xtx1zRtjTmF+cf9TlOHiEiPl2gN3GB3rwY+Azzk7icDH09eWCLSW/TPzQZg9L6/d8mUIuveqgY0dYiI9GyJ9oHLMbMRhNYtvSGJ8YhIpnp6LuxYS9HBN6no88GEdyu7/uOs+MHD1B7o2/4pRcL93gCwpqZTTR0iIj1dojVw84FngI3uvsrMPgi8nrywRCTj7FgLm18EQtM2tEeHpxTZsRbqqkN933D1fRORXiPRGrjt7t40cMHd31QfOBFpYcwpfKn++wCc213nLDwNrvjt+4/ve7G7ziwikjKJ1sD9KMEyEZEOCc8J11j51w71hZv/VDkTbnpGgxekVclevk2ku7RaA2dmpwD/DzjczL4d8dQgIDuZgYlI7xGep2tvXT4HrC/966rhpUWhJ2MtexQ15xto8IK0rTLnKEbXv0H/un1sKS+j6JxURyTScW3VwOUCAwglegMjbtXAhckNTUQySUVVDdM2ntehGrDwPF3Di4o5vnYJf/egD91Li2LXlkTM+VZ2YGRTzVt48IIm75VYVhVfy6k8yLS6BZrQVzJeqzVw7v488LyZPejuld0Uk4hkoJr6Bg41Qr+8nA7XgIVr4j5T9x/86LBHOffwd0LLbL206P3RpvXBfHFjToErfstd973I/rrdnTqv9A7zppUwb1oJ5beelupQRDot0UEMeWa2GCiK3MfdP5aMoEQkM90x8BFKrn+hw/uHL7Cfv+9FlnIV515xStRUIYGo1RYmFw3VtCEi0qskmsA9BtwL/AQ4lLxwRESinHN77H5whAYuvLRpNwPztayziPQuiX7rNbj7oqRGIiKSoPlPlfP4K1vZWxvqxxRezUFEpLdIdBqRp8xsjpmNMLOh4VtSIxORXmvd9mpe2rSb+U+Vx34+GHF68tihXHFqEWXXa2U/EeldEq2BmxH8vCaizIHE18sREUnQhZNG8dO/VDQlarFouSwR6c0SSuDcfWyyAxERCZs3rYR1b1WzumI3E256hgsnjWLetJKmptP9dQ1MLlIjgIj0XgklcGZ2eaxyd3+oa8MREQkJTwny0qbd/PQvFc36vJ08VpP1ikjvlmgT6pSI+/nAGcCrgBI4EUmK8GS84Vo3gIH5OfTPzVbTqXRaSf1a+GExfGd9qkMR6ZBEm1C/FvnYzIYAP09GQCIikcJzw4l0lcqco7h57/nUNgzgiVQHI9JBHZ08qQZQvzgREck4q4qv5VurrgzmD5yd6nBEOiTRPnBPERp1CqFF7IuBR5MVlIiISLLMm1ZC+VpN/iyZLdFP8J0R9xuASnffmoR4RERERKQNCU3kGyxq/xowEDgMqE/0BGaWbWZ/M7PfBI/HmtlLZrbRzH5hZrlBeV7weGPwfFHEMa4Lyv9lZmdFlJ8dlG00s7mJxiQiIiKSyRJK4Mzsc8DLwEXA54CXzOzCBM/xDSBymM9/Ane5+4eAd4Erg/IrgXeD8ruC7TCz8cAXgBLgbGBhkBRmAz8GzgHGAxcH24qIiIj0aIkupXUDMMXdZ7j75cBJwL+3tZOZjQLOA34SPDbgY8DjwSZLgQuC++cHjwmePyPY/nzg5+5e5+6bgI3B+U8CNrr7m+5eT2hU7PkJvh4RERGRjJVoApfl7m9HPK5KcN//Bq4FGoPHBcB77t4QPN4KHBncPxLYAhA8vyfYvqk8ap945SIiIiI9WqIJ3O/M7Bkz+6KZfRH4LbCitR3M7JPA2+7+Sidj7DQzm2Vmq81s9a5du1IdjoiIpIFx9eVw22h4Wl2oJfO0OgrVzD4EDHf3a8zsM8BpwVMvAsvbOPapwKfM7FxCqzcMAu4GhphZTlDLNgrYFmy/DRgNbDWzHGAwoZq+cHlY5D7xyptx98XAYoDJkyd7rG1ERKT3qMw5CoASNsOOtSmORqT92qqB+2+gGsDdf+nu33b3bwO/Cp6Ly92vc/dR7l5EaBDCn9x9OvAcEB4AMQOaJsJ+MnhM8Pyf3N2D8i8Eo1THAkcTGlCxCjg6GNWaG5zjyYRetYiI9GpLB1/FzQV3wBETUh2KSIe0lcANd/cW/5oEZUUdPOf3gG+b2UZCfdzuD8rvBwqC8m8Dc4NzlROaNHgd8Dvgq+5+KKjBuxp4htAo10eDbUVERNq0umI30zaeR0VVTapDEWm3tibyHdLKc30TPYm7rwRWBvffJDSCNHqbWkLTlMTafwGwIEb5CtroiyciIhJt/MhBrNtezaE6qKlvaHsHkTTTVg3cajObGV1oZl8GUj44QUREpCPmTSth7U1nccfAR1IdikiHtFUD903gV2Y2nfcTtslALvDpJMYlIiIiInG0msC5+07g/5nZR4HjguLfuvufkh6ZiIiIiMSU0GL27v4codGjIiIiIpJiiU7kKyIiIiJpQgmciIiISIZRAiciIiKSYZTAiYhIr1Z08E346XlaE1UySkKDGERERHqiypyjOFS7j+xNW+hfVUPROamOSCQxqoETEZFea1XxtUzP+k+uOXiVVmSQjKIETkREei2tyCCZSgmciIiISIZRAiciIiKSYZTAiYiIiGQYJXAiIiIiGUYJnIiICDCuvhxuG6354CQjaB44ERHp9SpzjgKghM2wY22KoxFpmxI4ERHp9ZYOvorVFbsZn1XJj6oepSjVAYm0QU2oIiLS640fOYh+eTkcakQT+kpGUAInIiK9nib0lUyjBE5EREQkwyiBExEREckwSuBEREREMowSOBEREZEMowROREQkUHTwTUrq12oyX0l7SuBEREQCGxuPoLxxDBXlZakORaRVSuBEREQCv578MHvpr7ngJO0pgRMREQnMm1bCwHwtUiTpTwmciIiISIZJWgJnZvlm9rKZ/d3Mys1sflA+1sxeMrONZvYLM8sNyvOCxxuD54sijnVdUP4vMzsrovzsoGyjmanHqYiIiPQKyayBqwM+5u4nABOBs82sFPhP4C53/xDwLnBlsP2VwLtB+V3BdpjZeOALQAlwNrDQzLLNLBv4MXAOMB64ONhWREREpEdLWgLnIfuCh32CmwMfAx4PypcCFwT3zw8eEzx/hplZUP5zd69z903ARuCk4LbR3d9093rg58G2IiIiIj1aUvvABTVla4C3gWeBN4D33D08vGcrcGRw/0hgC0Dw/B6gILI8ap945SIiIiI9WlITOHc/5O4TgVGEaszGJfN88ZjZLDNbbWard+3alYoQRERERLpMt4xCdff3gOeAU4AhZhYeoz0K2Bbc3waMBgieHwxURZZH7ROvPNb5F7v7ZHeffPjhh3fFSxIRkR5sXH053DZaKzJI2krmKNTDzWxIcL8v8AlgPaFE7sJgsxnAE8H9J4PHBM//yd09KP9CMEp1LHA08DKwCjg6GNWaS2igw5PJej0iItI7VOYcRXljIeUHDtOKDJK2kjlb4QhgaTBaNAt41N1/Y2brgJ+b2S3A34D7g+3vBx42s43AbkIJGe5ebmaPAuuABuCr7n4IwMyuBp4BsoEH3L08ia9HRER6gVXF17L0rWq+u/3boBUZJE0lLYFz938AH45R/iah/nDR5bXARXGOtQBYEKN8BbCi08GKiIgE5k0rAaD81uwURyISn1ZiEBEREckwSuBEREREMowSOBEREZEMowROREREJMMogRMRERHJMErgRERE4ji2vpya+SMpWzgz1aGINJPMeeBEREQy1t4hxazfsY8sGhn43vpUhyPSjBI4ERGRGErnLAGg/NbTUhyJSEtqQhURERHJMErgRERERDKMEjgRERGRDKMETkRERCTDKIETkc55ei7cNppx9eWpjkQkaUrq14Y+6yJpQgmciHTOjrVQX0Ot9aUy56hURyPS5Rrq9lPeOIaK8rJUhyLSRAmciHTemFP40hH/y9LBV6U6EpEu9+vJD7OX/tTUN6Q6FJEmSuBERERaMW9aCQPzNW2qpBclcCIiIiIZRgmciHRKRVUN0zaex+qK3akORUSk11ACJyKdUlPfwI19HmZy0VDGjxyU6nBERHoFNeqLSKf1y83mF185JdVhiCRV0cE34afnwRET4JzbUx2O9HKqgRMREWlD0xQ5m18MTZ0jkmJK4ERERNqwdPBVlPpPKe8znoqqmlSHI6IETkREpC3h/p3X7L1E88FJWlACJyIi0oZ500pYe9NZ3DHwkVSHIgIogRMRERHJOErgRERERDKMEjgRERGRDKMETkREpB2a5oN7em6qQ5FeTAmciIhIgjQfnKSLpCVwZjbazJ4zs3VmVm5m3wjKh5rZs2b2evDzsKDczOweM9toZv8wsxMjjjUj2P51M5sRUT7JzNYG+9xjZpas1yMiIqL54CRdJLMGrgH4jruPB0qBr5rZeGAu8Ed3Pxr4Y/AY4Bzg6OA2C1gEoYQPmAecDJwEzAsnfcE2MyP2OzuJr0dERHo5zQcn6SJpCZy7b3f3V4P7e4H1wJHA+cDSYLOlwAXB/fOBhzykDBhiZiOAs4Bn3X23u78LPAucHTw3yN3L3N2BhyKOJSIi0uU0H5yki27pA2dmRcCHgZeA4e6+PXhqBzA8uH8ksCVit61BWWvlW2OUi4iIiPRoSU/gzGwA8L/AN929OvK5oObMuyGGWWa22sxW79q1K9mnExGRXqCkfi38sDjVYUgvldQEzsz6EErelrv7L4PinUHzJ8HPt4PybcDoiN1HBWWtlY+KUd6Cuy9298nuPvnwww/v3IsSEZFerzLnKD5f933Of/frqQ5FeqlkjkI14H5gvbv/V8RTTwLhkaQzgCciyi8PRqOWAnuCptZngDPN7LBg8MKZwDPBc9VmVhqc6/KIY4mIiCTNquJr+Vaf/+XWfstTHYr0UjlJPPapwGXAWjNbE5RdD9wOPGpmVwKVwOeC51YA5wIbgf3AFQDuvtvM/gNYFWx3s7vvDu7PAR4E+gJPBzcREZGkmjethPK1ybyEirQuaZ8+d38BiDcv2xkxtnfgq3GO9QDwQIzy1cBxnQhTREREJONoJQYRERGRDKMETkREpIO0LqqkihI4ERGRDtC6qJJKSuBEREQ6YOngqzi+dgnT6m/RuqjS7TSERkREpAPC66J+d/st1NRnpzga6W2UwImIiHTAvGklAJTfquRNup+aUEVEREQyjBI4ERGRThpXXw63jdZoVOk2akIVERHphPBo1BI2azSqdBslcCIiIp2wdPBVrK7YzfisSn5U9ShFqQ5IegUlcCIiIp2g0aiSCkrgREREOkGjUSUVNIhBREREJMMogRMREekiJfVr4YfFqQ5DegE1oYqIiHSBypyjuHnv+dQ2DOCJVAcjPZ4SOBERkS6wqvhavrXqSgbm5wCzUx2O9HBqQhUREekC86aVBMmbSPIpgRMRERHJMErgREREutDo+jcov/U0yhbOTHUo0oMpgRMREekie4cUU9k4HGqrGfje+lSHIz2YGutFRES6SOmcJQCU33paiiORnk41cCIiIiIZRgmciIhIEoyrL4fbRsPTc1MdivRAakIVERHpYpU5RwFQwmbYsTbF0UhPpBo4Eem4p+eGlg4SkWaWDr6KT+29jmn75lJRVZPqcKQHUg2ciHRcULNQmXMUJSkORSSdjB85CIDvbr+FmvrsFEcjPZFq4ESkU8pzJ7B08FWpDkMkrcybVsIvvnIK/XKzKTr4Jvz0PPWFky6lBE5ERCRJwn3h2Pyi+sJJl1ICJyLt9/Tc0Oi6zS+mOhKRtLZ08FUcX7uEafW3qC+cdKmkJXBm9oCZvW1m/4woG2pmz5rZ68HPw4JyM7N7zGyjmf3DzE6M2GdGsP3rZjYjonySma0N9rnHzCxZr0VEouxYCxiMOeX9GgYRaWH8yEFMLhrKjX0epqa+IdXhSA+SzBq4B4Gzo8rmAn9096OBPwaPAc4Bjg5us4BFEEr4gHnAycBJwLxw0hdsMzNiv+hziUhXe3puqC/PjrVwxATmD/sBc3Z/LtVRiaStyL5wIl0paQmcu/8fsDuq+HxgaXB/KXBBRPlDHlIGDDGzEcBZwLPuvtvd3wWeBc4Onhvk7mXu7sBDEccSkWTZsTZoNnU4YgKPv7IVeH/EnYjENrfmEm7ee74WuJcu093TiAx39+3B/R3A8OD+kcCWiO22BmWtlW+NUS4iyTbmFLjitwCMD/rAzZumSUREWrO8338x6OAuyt+bkOpQpIdI2SCGoObMu+NcZjbLzFab2epdu3Z1xylFRESaDLphI+W5St6k63R3ArczaP4k+Pl2UL4NGB2x3aigrLXyUTHKY3L3xe4+2d0nH3744Z1+ESK90g+LofIFAOY/Vc6Em55hdUV0LwkRac3o+jcov/U0NaVKp3V3AvckEB5JOgN4IqL88mA0aimwJ2hqfQY408wOCwYvnAk8EzxXbWalwejTyyOOJSLJMPSDoZ9HTGDdW9UATC4aqv5vIgnaO6SY6Qf/nXl7P8PA99anOhzJcEnrA2dmPwOmAsPMbCuh0aS3A4+a2ZVAJRAevrYCOBfYCOwHrgBw991m9h/AqmC7m909/C//HEIjXfsCTwc3EelqT88NDV7YsRYKT4Nzbof7XmT8iEH84iunpDo6kYxROmcJTwHlt56W6lCkB0haAufuF8d56owY2zrw1TjHeQB4IEb5auC4zsQoIgkIjzzN7U/ZgZHMvOkZ9tc1MLloaKojE8lY4abUvUOKKZ2zJNXhSAbSSgwi0rYxp8B1W7gr+0uAmk5FOkNNqdIVunsaERHJFJFNp0e8P3pOTacinaOmVOkKqoETkdiiJu2d/1Q5L23SqFORrlJ08E1K6teG/lkSaSclcCLSXORyWUHTKefc3jTyVE2nIl3j+b6fAKCivCzFkUgmUhOqiDQX2Wwa1Lyte6uaddurOXnsUK26INJFVhVfy9BV/2KgFrmXDlANnIi0dMSE0HJZQc3buu3VjB8xSLVvIl1o3rQSBubnaHJf6RDVwInI+56eG1ptIa95oqaBCyLJsXdIMZU79pFVW60RqdIuSuBE5H071oZ+TpzerOl0/AjVvIkkQ3gOuPJbT6Po4Juh/qdHTAhNmC3SCiVwIhJztYV1972oplORblKZcxSHaveRvWkL/atqKDon1RFJulMfOBFpNmVI2YGRTQvVh5tONXBBJLlWFV/LgiMXsT+rP0X7/qapRaRNSuBEerOn58Jto0PJ25hTmH/c7/jC5gvYW9ug1RZEutG8aSX84iunsKvfMQDUrno4xRFJulMTqkhvtmMtYKH53o6YwLrNobnejhiUp0ELIikQnlpkgm1WfzhplWrgRHq7iClDAE4eO5Sy6z+e4qBEeqd500rYPeBY1nkhNZv/pkl+JS7VwIn0VhFThsx/qpzHX9nK/rpQ06mIpM6q4mtZ91Y1393+bcbXbFBNnMSkBE6kt3l6LqxZDnWh5tIV2R/jp3+pAEK1b+r3JpJa4UFDK35wDIf2V3Co8q9s0chUiaIETqS3CE8VUvlC6HHhaazYNYyvvfs5BubncOGkURptKpJGVhVfy9K3ruJb275F6b6/UbZwZtO8cSJK4ER6i/BUIXmDQhP1NlzGT/9Vwcljh2rAgkgaCv9DVbZwAry9ngm7fpviiCSdaBCDSG/ww+JQzVswVcjnN5/f1GyqJlOR9FY6ZwnluRM45K41U6WJauBEerJws+net0KPg6lCVlfsVrOpSAbZO6SY6dsuoV9dDb+ov4XyW9ezd0ixmlR7MSVwIj1RjP5uZQdGctfm81m3vZrJRWo2FckkpXOW8BRQtnAma3eMJau2moHvrU91WJJCSuBEepqn58JLi0L3C0+DIyaE+rv9pQLYrZGmIhksXONWfutpUFvN2hsnUnPEFNXE9UJK4ER6iuhat5NnM7/hMtZtrualTRUAXHFqkZpMRXqAvUOKGfjeeibUr4W3N1G2ECVxvYy5e6pj6FaTJ0/21atXpzoMka4Tr7k0+0u8tGk38P78bkreRHqWsoUzKX37UQDKcyeoX1wPZGavuPvk6HLVwIlksgSbS5W4ifRMpXOWULYQBr63npL6tfD2Wg1w6CVUAyeSiaJq3Vb0u4Clg68CaKp1U3OpSO9StnBmaGBD7R4A9h5RqiSuB4hXA6cETiQThBM2gB3/aFoGK7yawvf2X8L4Ee8PTFCtm0jvFd2sGqZaucykJlSRTBOZtEX0b+OI46moqmFdYyFL66/ipd27OXnsIE0LIiJA82bVsMjmVVAy1xMogRNJJzGSttqsAbyRO4HKnKNYWh80k74TDE4YrAXoRaSl6OQs3Lw6t+YS+jW+Pxlw/9wcikpK4ZzbUxSpdJSaUEVSJTJZCwvXtOUNoqLPUaxrLGTO7s8BMDA/R82kItJp4WRub20DA6kJFeYPbnpetXPpJaP6wJnZaOAhYDjgwGJ3vztqGwPuBi4EhgK7gB+7e6v/RiiBk5RoLVkrPI2Kqhpq6htCxTlH8b39l7C3NvRYI0lFJBnmP1XOlPU/oLDhjaaykvrQ91SN9aeizwebypXUpU6mJXAjgBHu/qqZDQReAS5w93UR25wLfA04BrgGmAvkARdHbhdNCZx0uVjJWSCcmIW/FCM7FEPsZC2SEjcR6U5NI1kjlNSvpbxxDI1kk5U/IOZ+/XNzKCroD0dMUHNsF8uoBC6amT0B/I+7PxtRdh+wDTjV3c8ys38B/wvsdffb4h1LCZzEFJGERdaGJSLef6xzay6hodGZ1+dhBubnhPqwBVN9xKJkTUTSUaykLiz8PfeL3FsYZPuBlv+oJqoy5ygAxmdVKhmMkLEJnJkVAf8HHOfu1RHlvwHKgCJ3/7KZ/RF4HviAu18d73glRw7wR786MblBS0YpOvgm/T3UD6Q8d0JTbdjA/Bzm1lwCwO39H2n1GK0lZ0rMRKQnm/9UOeveqmbGnnubNccmoujgmwD09xo+X/d9AH6Rd0vT8x1NBnuS4274S+YlcGY2gFBStsDdfxn1XMIJnJk9DHwGoH///v3GjRvXZTH+61//AuDYY4/tsmMmWyIxR26Tia9RRESku8W6XrZ1DX3llVfiHm/SpEm88sor7u5Z0c+l7TQiZtaHUJPo8ujkLbANyAJGB49HAflBeTPufhlwGXR9E+rUqVMBWLlyZZcdM9kSiTlym0x8jSIiIt0t1vWyrWtoUVERlZWVLcoLCwtZvXo1ZvZqrP1aZHTpIBhhej+w3t3/K85mTwL/DzjazD4NVAPnBeU93tSpU5s+FCIiIpKZFixYQFZW83SsX79+LFiwoNX90jKBA04lVGP2MTNbE9zONbOrzCzc0WgF8AbQF/g5MAJ41N3LUxOyiIiI9GTJqDyZPn06xxxzDKG6q1DN2+LFi5k+fXqr+6VlE6q7vwBYG9s48NXgJimi5lUREZHOGT58ONu3b2fixIkJX0/TtQZOREREROJQAiciIiKSYZTAiYiIiGQYJXAiIiIiGUYJnIiIiEiGUQInIiIikmGUwEmrpk6dypo1a1IdhoiIiERQAiciIiKSYZTAiYiIiGQYJXAiIiIiGUYJnIiIiEiGUQInIiIikmGUwImIiIhkGCVwIiIiIkk2depUpk6d2mXHUwLXg3X1h0VERETSgxI4ERERkQyjBE5EREQkw+SkOgBJL2pyFRGR3iJ8zVu5cmVK4+gI1cCJiIiIZJi0TeDM7AEze9vM/hnn+almtsfM1gS3G7s7RhEREekdli9fTllZGc8//zxFRUUsX748pfGkcxPqg8D/AA+1ss2f3f2T3ROORFJTq4iI9ESxmlWXL1/OrFmzqKurA6CyspJZs2YBMH369O4OEUjjGjh3/z9gd6rjEBERkczXmam1brjhBvbv39+sbP/+/dxwww1dEFnHpG0Cl6BTzOzvZva0mZXE28jMZpnZajNbvWvXru6MT0RERDLc5s2b21XeHdK5CbUtrwKF7r7PzM4Ffg0cHWtDd18MLAaYPHmyd1uEIiIikvHGjBlDZWVlzPJkaau2MGNr4Ny92t33BfdXAH3MbFiKwxIREZE0tWbNmg41oy5YsIB+/fo1K+vXrx8LFizoosjaL2Nr4MzsCGCnu7uZnUQoGa1KcVgiIiLSw4QHKlx55ZXU1dVRWFjIggULmg1gCI9Srauro6ioqCm5C5fl5eUxduzYLospbRM4M/sZMBUYZmZbgXlAHwB3vxe4EJhtZg3AAeAL7q7m0SSKHpmzc+dONm3a1OzDmqrROCIiIsk0ffp0lixZArSc+DfWKNUrrrgCM6O+vh6Auro6NmzYwPLly7vkWpm2CZy7X9zG8/9DaJoRSYGdO3eyYcMGGhsbgfQYUi0iIr1POqymEGuU6sGDB1ts19jYyA033NAl18mM7QMnybNz586myQrLysqa/nuItGnTpqbkLSzVQ6pFRERSoT2jUaO3DTe97tmzh7KysoQnCE7bGjhJjeiatXB18M6dOxk+fHjTduHyaKkcUi0iIpkrHWrSOireKNV424ZFN73W1dU1tWa1RTVw0kysmrVweaS8vLyY+ydzSLWIiEhXmDp1KsXFxV22NFasUap9+vQhNze3WVlWVlazkaudmSBYNXDSTLyatejysWPHNqupg9QPqRYREYklcoRoWVkZQ4cOZefOnTH7cXdEvFGqkWXhUaiR/d9amyC4qKio1XMqgZNm8vLyYiZx0TVu4ebU8CjUWEOqRUREEhFrCo6uup7Eaqbcvn17i+3CNV9tJU7xxBulGi6LpTMTBKsJVZoZO3YsWVktPxbh/1p27tzZVDZ8+HBKS0s5/fTTqaioUPImIiLtFm+h+ESaNMOJX2vNoLGaKePpqn7cia672pkJgpXASTPDhw/nmGOOidnHLXIOGxERka7Q0X5giSZ+7UnKhg4d2mX94hIxffp0Fi9e3HTNzcvLY/HixQlViCiBkxbCNWuxkrjwHDaJSvS/EBER6Z06ulB8oolfooPr+vTpw969eztUE9gZ06dPp7S0lMGDB1NaWppwa5YSOIlLU4WIiEiyxUuw2kq8Ek38FixYQJ8+fWJum5MTGgpQWFjIoEGDWsx7ms7zmyqBk7jSdaoQ1eqJiPQcHe0HlmjiN336dAYNGhRz2+zs7KZ+3Lt37465TbpWWiiBk7hiDWiInsNGRESkM6L7gRUWFibUD6w9iV+85CyypamjNYFdZeLEie2axLhbEjgzG2VmvzKzXWb2tpn9r5mN6o5zS8eFBzSYGRCqkTvmmGNYsmQJa9asSW1wIiKS8cItKuF+YG3NahDZAtOexC9eEhbZ0tSZEaHt0Z5WpNautd1VA/dT4ElgBDASeCookzQ3fPhwBg0axOmnn05paWmz5bRERESSqa1kJ9HEb8GCBTGnyDp06FDT9FixEsIxY8a0Oo9bKnVXAne4u//U3RuC24PA4d10bhEREUkz0XO4zZw5M2nroE6fPp1jjjmmRXlDQ0Oz6bGiE8LoSouVK1emzVqt3ZXAVZnZpWaWHdwuBaq66dySwTRgQUSk5+nM5L0dNXz48KYuQZHaOz1WuuiuBO5LwOeAHcB24ELgim46t6QpJWciIulh+fLlFBUVkZWV1S0T2CYyh1t0Dd2cOXOaPS4uLm71GhK+xkRea9w95raVlZUJX4/S5drVLQmcu1e6+6fc/XB3/4C7X+Du6Tkut4dKlw9cZ/SE1yAikm7CtWGVlZW4O5WVlVx22WWYWYeSueXLl5Ofn9+0f6xEq6053GLV0C1atKjZ4w0bNrBz5852NWvGqoGD+NNmJSJV16akLmZvZte6+w/M7EdAi7TX3b+ezPNLz7Nz5042bdqUlAWPRUR6quXLl3PDDTewefNmhg4dCoSm1hgzZgz79u1rURsWrqkKN20CCX3Xxkq8AF577TXy8/MZO3Ys69evb3MR90TWL21sbGTTpk0ATQlUa4ncypUrKS4uZsOGDTQ2NjaVZ2VlMXbs2DZfW7pJdg3c+uDnauCVGLe4zOyBYMqRf8Z53szsHjPbaGb/MLMTuzLwRCSyiG66nbe1fSOfKysrY8OGDZSVlbFnz55mC9nv3LmT6urqpu0iF7jviET/e9m5cycbNmzo9mVOpGdqb5PR8uXLGTZsGGaGmZGdnY2ZkZWV1VQ2bNgw5syZ02y7YcOGtfg7KyoqwszIyclpcYzwcYcNG9Z0nNa2a+25RMtinSv8M9ZzicaWjO/FyN9bZBytvTfd/f0c/bnqbPNkIq853mcvXHbppZc21bBVVVVRVVXVVNtWVdV6l/T9+/dz6aWXxv1MR2ot8aqrq+O1115j2LBhnHvuua1O2REruYt3zKKiooSvQ9HrfRcWFvLQQw8lfYaFnTt3Nru+dva6CYSy7GTfgIsSKYt6/iPAicA/4zx/LvA0YEAp8FIisUyaNMm7wrJly7xfv35OqGbRAe/Xr58vW7asS47fFec9/fTT/fTTT2+6P27cuLj7xjpu9C0rK8tHjBjhWVlZLcrjve7IGOI9l8g27u55eXkx4yosLGznuyjJtmzZMi8sLHTAs7OzHXAza/qdFRQU+OzZs72goKBFWWFhoZuZFxYWdtnfUzie8HFnz54d9/Me/nxHxtsVt+i/m952C7/+WJ+HWO95sn8P4TgKCgqaPodtnb+goKDpMxn9mVq2bJnPnj27Rbx9+vTx3NzcuHFEnj8cU+RnP5Hv5lTdIt+PsER/X/369fPZs2c3fa9H/73H+75v7fc6bty4ZrHEusbEu+7E2ib6fqxt420fWTZu3Lg2r5vxzjN48GAHVnusPChWYVffgFcTKYuxTRHxE7j7gIsjHv8LGNHWMbsqgQtfnKJvyU4m2nPe6A9VawlQvOMmeov3ursygYt3bjNr9RjSPSKTtq66mZnPnj075jliXYBjJQe66Zapt/79+6d94h9dgdCe74CCgoK43yXhv+X23PLy8podI3zNy8vLa0ruujuBO/300+N+H0VeN9MugQPOAX4E7ATuibg9CLycwP5FxE/gfgOcFvH4j8DkONvOItSMuzp4M5puq1ev9tWrVzcrmzdvnru7jxgxoqnsxBNPdHf3mTNntvkhuu+++9y9ecLxyU9+0t3dP/nJTzYrd3e/7777mpU9+eSTvm3btmZlM2fObHHMeLdYr6mrL6yt3RJ9TSNGjPDTTz/dBwwY0KzM3X3evHktXlOfPn1ini/yCy7e72nbtm3+5JNPdtvv6cQTT0zoNXXms5eOrylZt3S/iOmmW2++DRgwoMV3RHtusb73OnuLlwAuW7Ys5vdeaWlps7Lwd1ys61P09fTEE09s8doLCwv99NNPj1n7Gn3btm2bl5SUNCu77777/PTTTw8/TkkCdwIwA6gMfoZvnwEO664ELvKmGrjY+6ZjDVzkf1CFhYUxm2/D//2pBi410rl5RzfddGv/LdwsGm4eTqQmzMxafC+Erylt1YaHE53w93dXVDa0ds5414y2auBaq5VLVQ1cUgcxuPvf3X0p8CF3Xxpx+6W7v9vJw28DRkc8HhWUdYvuWjOtK887duzYFvuGF6ePddxoWVlZjBgxosVyJPHO39nBFtEjmbZv395s5FCiCx5L8iQyUkxEMkdVVRXf+MY32Lx5M2PGjGHWrFn06dOn1X3cvdl3/PTp06moqMDdefjhhykoKIi7b2VlZbPrRKKDF9qKJ57oueYirVmzhqlTp3b5agv5+fktrpvha29ndNdEvkVm9riZrTOzN8O3Th7zSeDyYDRqKbDH3bd3QawJac8iuuly3uHDhzfbN7w4/fTp01scNy8vjxEjRrTYNnwLz6UT7/ydnWW7rcQg/OFX8pZa8eZy6g3CX8jx5pVqj0SPEbld+PzZ2dlxn2urrCti6uj2ydSVv5veKHKE6r333svBgwfbfC8rKyu59NJLW4xQnT59Ou+8807cJM7Mml0nuuN3luzvregRp0Czka+R197O6M7F7BcBDcBHgYeAZa3tYGY/A14EjjWzrWZ2pZldZWZXBZusAN4ENgJLgDnJCj6eRBfRTafzRu4bvTh99HPHHHMMpaWlDB48uNm2kQvch88fPRVIIrNst6atP7DIpU+SMZ2LJg1OTHjOpkSk68W0T58+9O/fv+lxa8lPYWEhy5Ytw905dOgQ7k5jYyPuzrJlyygsLMTMmrYLl8H7iVb4Z+SxwscI32IdK3q78PkbGhriPtdWWVvnau01tRZb+LiRF+2uSDjDZQUFBRQUFLSIIdZrjRdHW5KVBHbmeJH/OEe+5kR+T63VgrUmXJvl7vTr14/Zs2e3eqyqqqqY/6zffffdMVt5omvL3D3p3xXR31vha0h4yqzOXEOip7uqq6vjwIEDAHGvvR0Wq121q2/AK8HPtdFl3X3rqj5wYanqe5XIedvTph+9T+Rt8ODBccvixROvzT+yr0RrcSTSD8LMkjKdS3Tfu2RPDZOJli1b1mwKkOhbuK9irPcv1vQLkWUFBQXev3//LusDk+h0DdK7xPocJrJ95Oentc9UrO0jn4v3vRVrKpLwuTr7vdYV/VUT7TNdUFDQ4nu0re+NyFt434KCgjYHAkS/X+Epr2JtG319aO13kehI1shrWLy+5nl5eQlde6PL0mEakb8Squ37JXA18GngX91x7uibErjuSeDaGmwR7w8jLJEvm9a+SDo6mCRV8/ulQnsvYOF9WvsC7uxFJlZ8kRfAeBfJrp43TiTZWvvsJutz3Z75EFtLljoyTU/4ezSR5C96YEPk9aKthC8vL89HjBjR9Dg7O9tzcnKafW9EihdPQUFBi/cmKyur2dx14WtXZKytxZipCdwUYAChgQY/DRK5k7vj3NE3JXDdk8AtW7Ys7ojRWElSrMmAI/9oY/2HtWzZsoRq+tqjPQlhJtfUxfodhN/LtiY4beuLV0QyR3Ttd1u1XZ2ZtSB8nkQSvWinn976TArha1C8SXOjKwnC2puMxto+MkGM9w9uZIxdlcB112L2q9x9n7tvdfcrgIuAD3XHuaVrRHfKrK+vb3X76dOnxx3sEKt/XGNjIzNmzGjR+TXcB+/YY49tsfTJ9OnT4/bBys3N7dDrbGuB5bDODtJItVi/Aw/9s8WhQ4cAmpbbiXyuLb15UINIJgqPGG1sbOSdd97hgQceaOq3Gd0XLTzjQCKzFsQSHtkaT2uD8lauXMn999/f6iwMO3fu5LXXXms2WwE0XzM1Wnv68ULs78KGhgYgdB2orq5ucf3pihGnsSQ1gTOzQWZ2nZn9j5mdGYwYvZrQwIPPJfPckri2OuzX19fH7JTZ1lpusQY7QPyL/KFDh+ImQcOHD282cGPJkiVMnTo15hdJeGHi1l5XvOfi/TFHl3d2kEZXam2dxej1O8NrI3bFUP1Y2vtlKCLpJXoKkMiBEOHkKjxrQfi5goKCZgOB4hkzZkzcqbCWLVvW5qC81mZhmDlzZqv/QIavX9HixdPRQR8HDx5k4MCBXT7iNJZk18A9DBwLrAW+DDxHqPbt0+5+fpLPLV2ktra2xX80QNz/aNrS2kW+vUlQrD/oY445psMjfBKdZ689NXWxFqHuqkW2wzWB4UWqKysrueyyy5qStRkzZjRbqLqqqopFixZ1+Hytyc3NTfo8iCLSfSJr56KTq+iau2HDhrV6rPD3aGen4Io3C0NbU0+FaxVjHS96Cq3Fixdz9913JzxiOdru3bu7fsRpDMlO4D7o7l909/uAi4HxwFnuvibJ55UuFK/5LN5/NG1pq/q9vc1wkX/QCxYsYNOmTU1NvbFqCVubdiTRL5dEauqik6vIJslwM2UiTa+t1bC11hRaVVXVdJ5kKygo4IEHHtC8fCK9VGvf29Hfo9OnT6e2thZ379AUXLEm2m3t/G1Ndj99+nTGjh3bNCdduBIhshtQWCJTnHRFS0Tk1CbAhFjbJDuBOxi+4+6HgK3uXpvkc0oXi/eBDSc50dpqkg0nSfF09MP/8ssvc/nllzdr6n3ttdeaTSwZq+/a5ZdfTnFxcbP4wl8uRUVFLFmypMW5EqmpS3SVgv379/ONb3yDoqKiZrVzw4YNY8CAAVx66aUtatjmzAlNe5jKPmcFBQVNc1G98847St5EerF439uFhYXdMk9qvPNnZ2e3WcO3fPlyNmzY0PTPb/gfa2i5ikJkhUZ2dnbcfoKdEX2dAmJ26k52AneCmVUHt73A8eH7Zlad5HNLF4m1DAiEapEia4PCy5DEEp3UTZ8+nXHjxrW5LNfKlSuZOHFi0/2VK1fGrUGL19RbVVXVlKTFG0Dx2muvxew/1lZNXeQkreHm3/B27UmuqqqqmvqlRQ4iqKmpabGtu7No0SKys7MTHlzQlcKJm5I2EQnryuUlOzKRerz+0EuXLm3ze+qGG25oce3Yv38/mzZtintdycvL47TTTmsxwC4yWYwc/FdUVNRmv/HIeBL55z8noaN1kLtnJ/P40j1yc3MpLCzk9ddfb9Yk19DQ0PRfSnuE/zDD/QI2bdpEXV0dhYWFLZbHCidRdXV1FBUVce6557J06dIWoz8XL17M888/H/ec4VFIrTX7Rv7XBbSoqbvsssv4y1/+wsKFCwGa4pw1a1bTH1t4u0svvbS9b0u7xfpS6ax+/foxY8YMVqxY0TRiTEuWiUhbIvuidea7I/o7P9FjhLe58sorqaurIy8vj7Fjxya0b7x/tlu7XoSfGz58eNO1LLJZN7wiQ/h7urKysqnCoq0+cYn+85/UBE56juHDh7Np06YWfarCtU5FRUUdPm6sDz/Ebu689957W9Q6hWPIy8tL6A+uNZGDKGL1LVu0aBFLliyhoaGBwsJC9u3bF7cPWibo378/+fn57N69W8maiHRKeIRqR8Wbnil87ETOH+7y0p7F6MeMGRNzZH5eXh719fUxv9PjdSEK27RpU9zpTNpK4OLFE6271kKVDDZx4kRWrlwZNwFKVj+s1jroR6usrGyai6ezKisrW/3jiZzzJ3KEZ3tErq3Z0eHq7RFewzB6vcR9+/bxzjvvxBxlJiLSnVI1PdOCBQtadOfp06dP05q60bKyshg6dGizuVGjm0fjXS8TqUhIdJ491cBJTOH/XiL7IcSr4UrW3F/tSQzNrNtGXHaFww47jAEDBlBZWZm0hZvNDHeP2TQtIpJuEp2eqTXtqXkLi25+LSgoYO/evRw8eLDFtoWFhdTX17Nz586mGra6ujo2bNjA8uXLm44V73oZr+YuMu7p06fzl7/8pc0pn1QDJwkbO3Zsm4MOulK8xDBWwpNJzZbQfNBCIrH3798/oYkyw6OiCgsLefjhhzs8TF9EpLslOpF6MkRORzVgwICYqw3l5eVRUVHB7t27YzaPRtYUxrpehieZT8SKFSva3EYJXC8zdepU1qxZ06F9hw8fzjHHHNNiwsPWkoNw82tHzh9vVNNVV13VZv+DsES3SycFBQUxmzr37dvHsmXL4k5I2a9fP5YuXarmUBHJSF05krUz2hrUkEh3oujrZXiSeaDZyNTi4uIWI26nTp2qPnDS9SKXtKqtrY2bJCQyfDrWZIxhU6dOZcmSJTEn1V24cGHM/26iFRYWcv/993d4Nu2w7OzODaZubxPp7t2725z93N2bkrnoZW5ERDJRZ1dp6Crxavwi40pkv+glIIFmy1JWVlayYcOGmNfHRCoflMD1UtGL0yc6P02ix070Q9qWeMumHDhwoNVpNCKXbQn/1xMtnFi1NoigsLCQpUuXdmjh5vA5otcTbGvQQqLNBa0tcyMikok6u0pDV2htje3Wnm+rprC1kanREqmkUALXC8VanD7cAbO1WrF4Ipf8KCsrY+PGjTE/pK+99hovvPAC1dXVzSbHDZ+zPZM3Jrpsy/Lly5v+OLKzs8nJyWnaJtxH7J133mH27NlxZ9SOXri5sLCwxYjOeEnZmDFjWiRad999d9yEMBXNBSIi8r621tiO9fxDDz3ULNmMdS1tz8jUcBNsay04SuB6oVgzS0d3wExU9Lw9dXV1rU7nETksO5F1QONprYo7/F9bdGyHDh0iNzeXZcuWtfjPbuHChS1qyqLX7otMwhYuXNhmUhYvGYu1igOkrrlARESai279iZ67LV7rUGviNYvGKx8+fDiDBg0CeCXW82mbwJnZ2Wb2LzPbaGZzYzz/RTPbZWZrgtuXUxFnJoo36rEj87kluuRHPInM8RPrP5l4nV3vv//+VmNr7XydaZKMVUvXWjIW2ZetoaFBo0VFRFKstRaojrRORbv//vtbbZptr7ScB87MsoEfA58AtgKrzOxJd18Xtekv3P3qbg8wA0QvR9K3b9+m/yDC84NF68hQ7a6YxDf6GIkspRI9b0+suc66Yk6h9ujsLOQiItJzxbpuRV6b2ystEzjgJGCju78JYGY/B84HohM4iSHWciSRa7Dl5+dTV1fXrBk1XgfMtv7jiLfkR7i/WSKzTkcmji+//DJ//vOfm60fF28plbaWTYkXW3fMKSQiIhIt+rqVaL/vWNK1CfVIYEvE461BWbTPmtk/zOxxMxvdPaGlv1hNh5EjXXJzc1vM55aXl9f0oWqPeEt+fOADH6C0tJRx48a1OoIz3E8sXOsWa3Rpa82erVVrp8ucQiIiIl0tXWvgEvEU8DN3rzOzrwBLgY/F2tDMZgGzoHfUvrQ1CSE0X0Qe6PDkvvGW/Ni+fTu7du3iQx/6EIsXL2bGjBktlroyM2bMmAHQrMYwlo40eybSzCoiIhJLZ/u8ddUx4knXBG4bEFmjNiooa+LukauI/wT4QbyDuftiYDHA5MmTM2vNpQ6I13QYa6TLzp072bRpE3V1dZSVlTVbyy1R8Zb8aGhoYMOGDQDk5OS0SODcnRUrVrBixYo2B0J0NPFWvzQREUmGZCZniUjXJtRVwNFmNtbMcoEvAE9GbmBmIyIefgpY343xpVx7mw5jjXSJnnC3rq6uQ9N6tFY7Fp6epLWlR9qqXVOzp4iISHNpmcC5ewNwNfAMocTsUXcvN7ObzexTwWZfN7NyM/s78HXgi6mJNv20NQlhWKxZoROZ1iNaW7VjmzdvjjvPzZgxY1rdv6CgQHOjiYiIREnLBA7A3Ve4+zHufpS7LwjKbnT3J4P717l7ibuf4O4fdffXUhtxemlrEkJIbEHeSPFq/RYsWNDqkh9jxoyJuSxIuGZtwYIFcWebHjBggJI3ERGRKGmbwEnytVYr1proRK619UbD05OElwWJHPkarlmbPn16l04uLCIi0tOl6yAG6UKRE+Pm5eU11YSNHTuWDRs2NGtG7Wh/s+HDh7N9+3ZGjBjRNCgiLy+PsWPHNhtIEJ7zJromr7CwUHO2iYiIJEgJXA+3c+fOFmuVhsvDzaqRCVdn+5tFTk/SnhE6CxYs4PLLL++SZFJERKSnUxNqD7dp06aYU3QcOHAACCVcpaWlDB48mNLS0pT1N5s+fToPPfRQs4EXGrwgIiK91cqVK3nvvffiPq8auB6utYEKRUVF3RtMG9paGktERERClMD1cHl5eTGTuK7uW5bomm5KzERERDpPCVwPN3bsWDZv3tysGTU8MjR6YEE6UIInIiLSNvWB6+GGDx/ebFLfvLw8jjnmmGZ9y3bu3El1dTXPP/88RUVF7V6JQURERBLT2kpK7aEauF4g3LcsvO7pa6+9RlFRUdMIzw0bNjTNw1ZZWcmsWbOa9muP8AcynWr0RERE0lHkFF+R1+RYZbFYvAlUe6rJkyf76tWru+x48eY1SweRsRUXF8ec861v375UVVW12LewsJCKiopuilRERKT3WL58ObNmzWrWvalPnz6YGfX19U1l/fr1Y//+/Zvc/YPRx1ANXC8Rb93TWFOMgFZAEBERSZYbbrihxfX34MGDLbYLtjky1jHUB66XiDedSDxaAUFERCQ52llJkhurUDVwnZSOTaexxJtOpKCggAMHDjT7T0ArIIiIiCTPmDFjYi4fGUd9rELVwPUSY8eObVoDNaxfv37cfffdzUapagUEERGR5FqwYAH9+vVrVtanTx9yc5tXtgXbbIt1DNXA9RLR654WFhY2mwtOKyCIiIh0j/C198orr2x2TY5Vdumll+6OdQwlcL1IRxeaFxERka4Vb/nI6LJLL7005v5qQhURERHJMKqB68FUyyYiItIzpW0NnJmdbWb/MrONZjY3xvN5ZvaL4PmXzKwoBWH2GF21tIeIiIgkX1omcGaWDfwYOAcYD1xsZuOjNrsSeNfdPwTcBfxn90aZWZSgiYiI9BxpuZSWmZ0C3OTuZwWPrwNw99sitnkm2OZFM8sBdgCHexsvqKuX0hIRERFJFjN7xd0nR5enZQ0coWUjtkQ83krLpSSatnH3BmAPUNAt0YmIiIikUK8YxGBms4BZwcN9ZvavVMbTRYYB76Q6iDSi96M5vR/v03vRnN6P9+m9aE7vR3Pp8n4UxipM1wRuGzA64vEoWs5EHN5ma9CEOhioinUwd18MLE5CnCljZqtjVan2Vno/mtP78T69F83p/Xif3ovm9H40l+7vR7o2oa4CjjazsWaWC3wBeDJqmyeBGcH9C4E/tdX/TURERKQnSMsaOHdvMLOrgWeAbOABdy83s5uB1e7+JHA/8LCZbQR2E0ryRERERHq8tEzgANx9BbAiquzGiPu1wEXdHVca6VFNwl1A70dzej/ep/eiOb0f79N70Zzej+bS+v1Iy2lERERERCS+dO0DJyIiIiJxKIHLcGb2NTN7zczKzewHqY4nHZjZd8zMzWxYqmNJFTO7I/hc/MPMfmVmQ1IdUyq0tSRfb2Fmo83sOTNbF3xXfCPVMaUDM8s2s7+Z2W9SHUuqmdkQM3s8+N5YH0yo3yuZ2beCv5N/mtnPzCw/1THFogQug5nZR4HzgRPcvQS4M8UhpZyZjQbOBDanOpYUexY4zt2PBzYA16U4nm6X4JJ8vUUD8B13Hw+UAl/txe9FpG8A61MdRJq4G/idu48DTqCXvi9mdiTwdWCyux9HaCBlWg6SVAKX2WYDt7t7HYC7v53ieNLBXcC1QK/u3Onuvw9WKAEoIzSXYm9zErDR3d9093rg54T+4el13H27u78a3N9L6OIcvbpNr2Jmo4DzgJ+kOpZUM7PBwEcIze6Au9e7+3spDSq1coC+wRyz/YC3UhxPTErgMtsxwL+Z2Utm9ryZTUl1QKlkZucD29z976mOJc18CXg61UGkQCJL8vU6ZlYEfBh4KcWhpNp/E/pnrzHFcaSDscAu4KdBk/JPzKx/qoNKBXffRqg1azOwHdjj7r9PbVSxpe00IhJiZn8Ajojx1A2Efn9DCTWJTAEeNbMP9uQJjdt4P64n1HzaK7T2Xrj7E8E2NxBqPlvenbFJejKzAcD/At909+pUx5MqZvZJ4G13f8XMpqY4nHSQA5wIfM3dXzKzu4G5wL+nNqzuZ2aHEaqpHwu8BzxmZpe6+7KUBhaDErg05+4fj/ecmc0GfhkkbC+bWSOhtdt2dVd83S3e+2FmEwj9wf3dzCDUZPiqmZ3k7ju6McRu09pnA8DMvgh8EjijJyf1rUhkSb5ew8z6EErelrv7L1MdT4qdCnzKzM4F8oFBZrbM3S9NcVypshXY6u7hWtnHCSVwvdHHgU3uvgvAzH4J/D8g7RI4NaFmtl8DHwUws2OAXNJj4d1u5+5r3f0D7l7k7kWEvpBO7KnJW1vM7GxCzUOfcvf9qY4nRRJZkq9XsNB/NfcD6939v1IdT6q5+3XuPir4rvgCoaUYe2vyRvA9ucXMjg2KzgDWpTCkVNoMlJpZv+Dv5gzSdECHauAy2wPAA2b2T6AemNFLa1qkpf8B8oBngxrJMne/KrUhda94S/KlOKxUORW4DFhrZmuCsuuDFW9EAL4GLA/+2XkTuCLF8aRE0IT8OPAqoe4nfyNNV2TQSgwiIiIiGUZNqCIiIiIZRgmciIiISIZRAiciIiKSYZTAiYiIiGQYJXAiIiIiGUYJnIhIAszskJmtibjNDcq/aWb9Uh2fiPQumkZERCQBZrbP3QfEKK8AJrt7r5xEW0RSQzVwIiIdZGZfB0YCz5nZc0HZIjNbbWblZjY/tRGKSE+lGjgRkQSY2SFgbUTRbe7+i+gaODMb6u67zSwb+CPwdXf/R/dHLCI9mZbSEhFJzAF3n5jAdp8zs1mEvl9HAOMBJXAi0qWUwImIdBEzGwt8F5ji7u+a2YNAfmqjEpGeSH3gREQ6Zy8wMLg/CKgB9pjZcOCclEUlIj2aauBERBLT18zWRDz+nbvPBRYDvzOzt9z9o2b2N+A1YAvwlxTEKSK9gAYxiIiIiGQYNaGKiIiIZBglcCIiIiIZRgmciIiISIZRAiciIiKSYZTAiYiIiGQYJXAiIiIiGUYJnIiIiEiGUQInIiIikmH+P+imCJrWkT8gAAAAAElFTkSuQmCC\n",
    
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          "text/plain": [
           "<Figure size 720x576 with 2 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
    
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        "compare_divide(hist_name='partEta', num_label=\"afterburner\", denom_label=\"pythia8 beam effects\", \n",
        "               title=\"Final state particles Eta comparison\", xlabel=\"Eta\", file_name=\"eta_comparison\", \n",
        "               ylim=(0, 2), xlim=(-7.5, 9))"
    
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       ]
      },
      {
       "cell_type": "code",
       "execution_count": 10,
       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": 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\n",
 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          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "compare_before_after_pythia_1d('atan2PxPz1', 'atan2(PxPz) hadron', 'atan2(PxPz)', '')"
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 11,
       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": 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\n",
 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          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "compare_before_after_pythia_1d('atan2PyPz1', 'atan2(PyPz) hadron', 'atan2(PxPz)', '')"
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 12,
       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": 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\n",
 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          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "compare_before_after_pythia_1d('atan2PxPz2', 'atan2(PxPz) lepton', 'atan2(PxPz)', '')"
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 13,
       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": 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\n",
 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          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "compare_before_after_pythia_1d('atan2PyPz2', 'atan2(PyPz) lepton', 'atan2(PyPz)', '')"
       ]
      },
      {
       "cell_type": "code",
       "execution_count": 14,
       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": 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\n",
 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          "text/plain": [
           "<Figure size 1080x360 with 6 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "my_cmap = mpl.cm.get_cmap(\"jet\").copy()\n",
        "my_cmap.set_under('w',1)\n",
        "\n",
        "def compare_2d_plots(histo_name, title, x_label, y_label, figsize=(15, 5)):\n",
        "    fig, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=figsize)\n",
        "    fig.suptitle(title)\n",
        "    \n",
        "    ax1.set_title(\"Nominal (no effects)\")\n",
        "    ax1.set_xlabel(x_label)\n",
        "    ax1.set_ylabel(y_label)\n",
        "    no_effects_file[histo_name].to_hist().plot(ax=ax1, vmin=1, cmap=my_cmap)\n",
        "\n",
        "    ax2.set_title(\"Afterburner\")\n",
        "    ax2.set_xlabel(x_label)\n",
        "    ax2.set_ylabel(y_label)\n",
        "    afterburner_file[histo_name].to_hist().plot(ax=ax2, vmin=1, cmap=my_cmap)\n",
        "\n",
        "    ax3.set_title(\"Pythia8 with beam effects\")\n",
        "    ax3.set_xlabel(x_label)\n",
        "    ax3.set_ylabel(y_label)\n",
        "    full_py8_file[histo_name].to_hist().plot(ax=ax3, vmin=1, cmap=my_cmap)\n",
    
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        "    file_name = (f'pics/{out_prefix}_{title}.png').replace(' ', '_').lower()\n",
    
        "    fig.savefig(file_name, dpi=224)\n",
    
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        "\n",
    
        "compare_2d_plots('partPtVsEta', 'Pt vs Eta comparison', 'Eta', 'pt[GeV]')"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 15,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": 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r/9SUpwJ8CPiA1lq3OU4Z+DLweqQj7KtI59RjyDV9WW/M2+EjWutL5rh/tFL5PfxfWuuK1vrzwP8CvlsppZA48y+01tNa6yLw7zHtItOO+1Otdcms+zByc9pajltpR/5D4JNa60+auv00cBa52VwPq8XH1yAdAv9aaz2/QjvLyyJwVCnVp7We0Vp/ZZ1lcGwR7uZyi9FaP4cE0VYTmCTwUsuyl5DeIkvO87rc5v1qk+Wve16XvNsamdfzRm5SQHq0VpVsGGaQ3rH1ftZ6vqPlfiBp5BMFU66fQeZWrof7gdMt+78H2IN8t11Iw3Y9/ASggC8pcYX7xy3rI0BhncdyOO5l3gd8Sms9Zd7/vlm2Hu4Hfrzlmk4hccWSabOfd9lLLduvRbvjrRTfbrV8Dken8h1a66jW+n6t9Q97OlV+C/g+c7P0XqSzaaXOXcuKbRgvSql/5JFeFoBjNNszP4ComV6FKKL+IfCXSqmVYsLnkZHE15vXn0Nu1t5g3m+EdZXfMKOXz1W0ces+ZFTyac/3+2uzHKVUWCn135RM95lFpvlE1fI5pbfajrwf6Zz3xrfXAuvNFLBafEwBL5kb3PXwD5Cb2peUTFn6hnXu59gi3JyP7eFDwFeA/+RZlkUuPi/7kcBxx1Ayv/IngMcRieuSUmoGuZlai2eBEaWUf51BYSPfMQOMa60PruO47cgAn9daf1PrCjNyuYBIQ77asrpdD+Z14P8w+74W+IxS6gta6zGzyRGW/5YOh6MFMy/ouwGfUso2tIJI4+fr1nGIDPBhrfWHV9nmpusXabhY9iNxCERqFvaUb886j7fZ5XM47im01k8ppaqIsdf3sVy9cMvXiFLqfkTh9Djw91rrulLqHM32zAngL7XWl8z7v1ZKTSDTYv6kzSE/j/y3X0WMgGbM8SvI1Jp2bMY1vlsp1eO5wdyPyPunkBvAV2mZx9rKjyOqs9Na6+tKqRMY2e8mlCkD/I7W+v+4jf3bxkdzc7h/hbZkuzbZl4FvV5Il4J8iI8Gp1u0c24cbudwGzE3JHwI/5ln8SeCQUur7lFJ+JQYWR1lbKnK7RBB9/yuAXyn1b5F5CWuixcxmjKbkZC028h2/BBSVGGCElFI+pdQxpdTXr/Oz/tJ81nuVUt3m8fVKqSNa6yUkhcgvKTEN8ikx7gki9bCEzPEEQIkBgZ0UP4MEuyWzbi8y9+GpdZbL4bhX+Q6gjlzzJ8zjCPBFxOSnlRye6xBp1P2QUuq0EnqUUt+ilGqnnvDyI0qpfUqpAWTutDXk+irwKqXUCSXmID97S9/q9svncNyL/Dbwa8BiiwSy9brfCD3I//MrAEqp70dGLi1fBr5FKfWAuUa/CZkH+dwKx3sSuVl7DfAlrfXXMKoomuZ/reSAYdOJfTv8nFIqYAYAvhX4Y9N2+e/ALyul4iBtEKXUW80+EeTms2Di3Yduswxefhd4h1LqrabNtEuJmdK+NfcUVouPX0LmUf6iWb5LKfWY2S8H7FNKBQBMnbxHKdWvtV4EZjHtMcfOwd1cbh8/jwRCQLTySAD5cWSS9E8A3+qRj90p/gYZObyESC8W2Jh0678hspY12ch31FrXzbYngHGkx+5/IJLd9XxWEXgLMhchi0hS/gMyUgLwr4DzyJ/NtFnXpbUuIfMUnjDSjUeQ+Z9nlFJzyET6f6abOUS/D/itdUh6HI57nfch832uaq2v2wfSwHwPNytpfhb4LXMdfrfW+iyiIPg1pJNnDDF7WIvfBz6FGIJdAX4BwIxe/DzwGWRe1m3lUruN8jkc9yK/g9z4teaE/A1kPl1BKfXnGzmg1voCMtL498hNyXFknqTlt4E/QOSts8CvAv9Ea/3CCsebR1RmX9NaV83iv0cknJMrFOOPzXNeKXWrcwGvIzEki/hW/JCnjD+JxJanjPT1MzQ9Mn4FMQyaQjq8N035prXOAN+OTE96BWkn/mvWeR+xWnw07b13AKPIKPE1xIwJ4H8jZlDXlVK2rfheIG2+/w8h/x+OHYRqM4/Z4Vg3ZrTvGeBxrfXEdpdnKzHf/avA61f5o3E4HA6Hw+HByOQnEafPy9tdHofDsXm4m0uHw+FwOBwOx5ahlPqXiHLpG7e7LA6HY3Nxhj4Oh8PhcDgcji1BKZVGTGa+Y3tL4nA47gRu5NLhcDgcDofD4XA4HLeNM/RxOBwOh8PhcDgcDsdt424uHQ6Hw+FwOBwOh8Nx29xVcy4HBwf18PDwdhdjS3j66SwnTybbLnv66WzbfVZe14WkflLmoc2yLiQ9kN8st30N9nXAbBvkvpM5Bpimhh+Fpo6PKgHm6cFPDY1CoQlTYpFuQpTxUcdHnQBVFBp/ZUkSnYSAl83hi/Jxi3OSbDPYBRWTsciPJMXrQhI39fcAVSgtQtgHdJuidiPH3W3eL5lnv/kMgArUhySPcJEIXSyh0FQIMksfGkWhMiCpkRfNBy6aAswjhQNz8Kp5tq99pp4WzTbas22r7HxtGbr3d2w9B7y0O0dWW77ycZ6e0lrft+4dPIwqpUu3sqOHCfgbrfU33+ZhtpVOi00bOYdat/WeuyvFquUoz7ONTRaNXOB2fZfn2fx99YTofrCCQuOjTg0/tZofXfPJplXZXO2q4/fVqNX9dPsW8VOjm0W6WUSh0Sh2sUCQCt3I+gpBdrFAoFKTY9VpZrmtm2IFkEvfhgRFMxTY7Gtl80DWlWsSanqQ0LUIhIFdISTLcA8Ud/fQxRJTDFIkwuJSN0s5v2xcQmJSIwFS1SxYavnw1kLbOvbGoeUxaa3ffaPx5Xa51fi0GbEJXHzabtZ7vq1nO28bqvX5ZtrFI9uGgma7ysYi72uFtAu64SFNd7dck/UlH11dS9RrPlSXRi8pdNVH164aSmmU0nSziEbRxRK7WGCJLnqZw0edLpbQKLpZZBcLdNdrLPr8BKq15TGpiLSzykAvEhp85nnRvF5A4kgvzTg1DQtViSZ18/AB/aYKupLma/bDXCjMLH2UCVHUEeqz3bLjDXPsRmyqmzcaT0PKFMQbn1pjkvIsW1+7ydLuP+lOxCzXdlqZu2rO5alTp/TZs2e3uxhbglI/h9YfartMqZ9ru8/K60LIhdyNBL6aWWajz4BZ3me27zbr9pr9DvLD+pf4Hv6QKWIEqVIkQoYUZzhNlAJ1fPioc4qz5EhwlAtEmSHCHMOM46fO4NgcPI9krvxJYATJYBSE3OclKdXBHrg8L6VIIAkoQ0hCync8AlyFr2Th1TEgboqdRLLUvVOOxbxZHgNS5iuNw+zPyJ3mZ3yPE6GInzpjjPIZHqeOnz998ftgTEmGqfPIDfAcktWqkYmzDKRpthbTpt4WkW8AzQBq71C91FgL7+/Yeg54aXeOrLZ85eOop7XWp9a9g4e9SukfvpUdPfwbuOXP3yl0WmzayDnUuq333F0pVi3H9nF2I9dLyLOuhlzodn3IPEeQuAV8w0Pse3IMHzV2U2CKQSan41Sn+sCvIa2gB0JHZoj15cnPxoj35RgkT5IsQ2TxU6dCkKNcYJhxkkwwyBRjjHKUC+wfn5RiTpsiLSBZ8mrAfuTSn0faUH7zvm62A0nRft4sy8Gzk5Lk7TQSul4GXg0cOY5k530EPvtd30CIMh/h/XyON5EtJZn7j4MSn84hmebGbD2lTeHKSIo4zOtuT0HLNOO/Ny4tj0lr/e4bjS+3y63Gp82ITeDi03az3vNtPdt521CtzzfjbSt5l9nOLtuuCiGNjUWkLeBtT+2l63qVZGKCOj6KpQjhcInCdJTArirVhQDVdB+9D07h89cIBqokyVIhSJgSR7lAkQiv44tEKBKmRA0fSbIc5hLJ2UmyfXH2ZyYl/twwRfvfSDvrHPAYklW8HwkROaRX6wUkJj2CxKk68Mfw/IsSj/LIPWoE+DaTkT3080iMewc8cewkn+HNnOc4n6k+zo3P7JHQ85dIOy9tqo9ZJFAtmgJYXjb1VDTrWm887f8BrLfdZGn3n3QnYpZrO63Mto1cKqV2AV9Abgf8wJ/orfzHcjgct40dOO40XHxyOO5uXGxyOBw7lU6NT5btnHNZAb5Ra/11SB/LNyulHtnG8uwo7H+FUj9300iA1h9a1gvj3VbwtzxD8zT2jqrZcUHba2R7uCNmX9sTBzV8ABzmEgEqZEhRIkyEIlUCDJNmkCmyJIkyQ5QZglRJkKNMmEC9Kr1qcaQ3bR44AzwI9EDi7VKqJ+alpGOmdEfi0r/1DjM6mcvC8X5znAoyavl24F2m6FmkB65fjssZs91B6DtbxVer8Z3P/RWneJooBaoESDJBgShDD6RhEHkA7KGlwyyHdM3NcpPOjVlTl7WWdbbu7WP1/pzW33W1kZ+V1m/pqALyjW7nsUO5p+PTRkYtW1+3xqPlx1rpF/eOptVoXngRpGfbvrdxrIjkXy/DHghSYYQ0JcKUl0LUFn2iOnhF0fvIFKEjMwBcuzBKpK/IIHlyJJghym4K1IyIP0OKCEXKhPBRJ0WGAlH5qAoSw86br9GDjFpepilHWwCuInFp3rPPMeA4oqToheFdEt8+gTy/GjjyADLoMS/HHiJLhCKTJACYGxuUz91lHiGMQm/WFMjGcltP3SyPQ+1GLZu/Set/TuvDrvNus5PZjNi0Q+PTPRWbNjpq2Xpetjt3vfusPmrpPQNsO8k7b6bbs86OtHmVAjWCoSqjRmIwlx4kRIlQb4m5qSjVhSBde+cpFUMUZyIUZyNkSVLHxxQxnuEESbIUiBKmRIQiuykQpcAVDuCvwP7nRFVRSyJnRgWRRJxD4k4PEoP6EbVYBolXNeAUEq+mgRdlu0Uk6iaAtwHDQG4evjIPfJyGbL9AlDO8hjwxqYJdSCyMIqHoPlsvfTRHf2tIO8q2l2x88tajxRu7lmN/a9sWtr9ju/+clc6H7aaD207ANpZPix53zry1/4R3j0bX4XB0bO+bi08Ox92Ni00Oh2On0qnxybKtbrFKKZ9S6hzSL/xprfWZ7SzPdtPas2ZZT8+dbGP7Clr16Ystr719H3ZezqJnfRHpbYph5zWd5ksEqFIgSpUgFQIUiFLHxzBpPsPjDROfCHNk2E8dH2McYOTpCTK+lIwq2l60EfPxFWAcpj8FDz0Ab+gXqf5j5pM/PAmv6Ye02TdxAroPmuOkkF63v0U6w24AR5C+3H5kBOAxZEb6CVlfCO5m/NgQX+R1nOUUAarkiVEgSrEUkb/sAtKptmAeBcQsiAFTV7YnzrpvlGn2wtnl3hEEW6+towj+m0ahbe+bt0d1pVGClea6bSWd3Pt2L8andiORq+E9f1caBVi+zMYmf8syP8vjlr/ltX0/61lmr0coESZDigoBAl1VgqGqbFaHuc8NUr6+m3rNR+/wFDHyFIkwyBSHucRFDhOkSoYUw4yTZoQKQTJmwvbh0iWun+5vxgM7QnAZGcWcM0V/AOnu7wc+b4pnPSTOAQelPPRAX5+MDjyERJAx4NkXkZEEP/AgDJLnPMeJkW9+5SjLxScamoqJxZaVi551q11pss9GVBLt/ADasdJ/2lbQwSOX92RsWg3vqGXrCHw7D4OVRjmbWJWRbRu1zgUPtdnHjl72IVd3BChTngtTIkwdH6F9M8wtRSjPhQlFizAXxN9dZ2k+TCqRYbgvTZwcw6Q5zRlGSAOQJ0bAxKgKQfIMkiJDpQdmjoUYHxqiEuwSoXS/Kfo7kUv7KhKXziNtsLebbY4g8cm2yZ4AgrKpndl+xjw/ATwWN8fpgYqIKXg9XyRGnkhgTkRdgzSFJ68Ays759sahg9w8v5KW+sazz820to3WmlPZ7vzYbjq57QTbfHOpta5rrU8A+4DXKKWOtW6jlPqAUuqsUursK6+8suVldDgcK2N7327nsVNZKz652ORw7Fw2Izbt1Pjk2k4Ox91NJ7edYIfkudRaF4DPAjdZ6mqtf11rfUprfeq++27J8dfhcNwhOr33DVaOTy42ORw7l04eubS4tpPDcXfS6W2nbbu5VErdp5SKmtch4JsQc+R7lnbD9SvZKbebwK71Bz17WpmZ9xS0sg072RxEejCL6B36aEo6FhEzarG3P89xjtYvEKDCBY4yyhWqBDjKBcKU+BY+SZkQUWZIM0yZEAGqhCnzwsn7iVIQAQ+IFOMIcBKRY3wbDLwdCMLLN8TA5zPAHwFvBP7a2GvPTkL6nOfrjCPytDii33gBmaw+j8jXhhBJyHEaV+Pev8pTIcBJnuZ1fIEikUYqlbnrMZF19NKUx/aass5463Ca5TIZr6TPSmgSbeq99TdpL/lolfF4J6y3brfa+62gU3vfOjE+rSVNbJUMbfR8ajXKWB2vPNbKoexzOyMHe6aEPM/mOlqAAJWGfDSXi1MpB4ideFmu32M16K0QH5AAlCml8FGnlyJ5YlQIcJzzvI4vEqVAjCmKRACIUORi+BDhepnKA4isNYmYX+QREwsrQ8uarzWA2PtfpWnxfxCRxgbhM+chPSkRImcOMwAc6QfOIiYcdbjAURLkiDJDmJIcex+SFqmIxLeUrUsrZLOxZcAsn6Y5/cFritTNzRLllZsrrfGoXSxazVzsbo1NOzE+dWJsWov1yqpb49dKMti1U33Z68U+27hkY5R3O2jKYaGZEqgPyNMbLZJmmBAlArsqRLsKVOfClK/tBr+m+lQf+OsUqjLNCCBDikscJs4kU8RIkSFPjGHSJMhRx0eUAsEbUMfHyNgEPZkliUVxKfL8SJfMbMoi8WoeaTPlzfugKe4NRBp7AngMEsdNaqQeiVGzwJtBYl0SmIBgXgx9LnK4YerIYWTH6zQV+o2ZwN5pQtdYHuPtNKIi7adw3dxOWul/qt3vvNZ/2nYZ/HRq28mynTe/Q8BvKaV8yE3uH2mt/3Iby+NwOBwWF58cDsdOxMUmh8Oxo9m2m0ut9bPAw9v1+Q6H4/ax0o5Ow8Unh+PuxsUmh8OxU+nU+GTZEXMuHctZywF0pWXLJQBWfmkHz72usFamad+HaEo57HbTiChiAAgRoUjWN0SZMMc5T4kwU8TIkmScYcYYJc4k53iYCEWGyOKjzlEukKxPkJzOS07L5xDrsafMR5wDPglMQvlqU9j1nuPwo0l4LCalSxiHxeG3Qvl5RHL2jYjr7DnEFfZBRAJyHpHHVhBZyB8jCeXiwDF4MPMSRXo5x8MkyZIjTi9FunpKsEuL7GwQkcbOYeQjts72mfq0dVaiKduwNmleaZ9X5tG6nR+lPtw2P6BX0rO2hGf76HRpRyex1vmz0dyWK8kgN3aeet1Nob0UysqmvHnlQK4/2dxKs/zUCUfKhCNl8l/eK9fynB/mglx7cpRSMUQinAMgzQgFooyQbuSRq+OnSrCRuzdLkodeuUTf81WCTyEy10lEKv9eZAzJ5rLMe4o9jzi/JhFJ7CQSSgfgzW+H4Ti8eheMmlWP7YfuGCI9m4ZaXORuM0Qb7rWUEVtZv6mSNPL9GrJXr1TfuupGzLOtN1uPdr92v4WwkpxsJZfqnRafOlUWey+xHifQtfa1rCaTbY+V7Nv4483X2HrteHNfDyASz2mgxlwhQoAqdfwMBvJMVWOw4KcrNg9zShJJ1nzUa37q+PBTp0SIFJlGTJoiRokwFzlMkQhHuUCRCFeH4hIbfMhjnkbeyp7MkrR59iOy1yOI5L6fptu1bSb6zXZZYMF8m4p8sz5EKssxJMaNwFSqF4ASIdIMU5yNSAycQhythzxV1YhF3valrVPvlRZh+VXnzXe8Mu3+jzZyvmxX3Or0tlMn3zg7HI47TKfnanI4HHcnLjY5HI6dSqfHJ3dz6XA4bgsXRBwOx07ExSaHw7FT6eT45GSxm8xmOE+1Du+v5BK6umTWnrZeV1hoDqhbt8UaInzw05RVWSnVLFaWEKHIkzwmrq/ABY5wnPNkSBGkSpUAeWJEKJqEwX4ucogxDuCr1fjiwGt46rETIjGdRBwUxxGHsgEgD6ETsHc/vBr4vfPwbBbohzc/AOl5eGISnv0bCCVgehr4C0SqMW8eMfNV9rM8eXkSSRxsPnM2GWgkXM+SpI6fIFWW8j3wlBJp2hwi79gFfA04YvuY8ojWxNZrmKZE1ta7lah5Zcn2vfe3EdnHagmg15IEbZfTWePz6Wxpx73ORhxAW8/d1bZZjtdB2XtWWHl50bwPsTx5uRHR90KQKiXCBKgSCReZSw/KpqM1kbL2VmCPZulGD1PVGAWiRCgSosQZTjPGAcY4QIIcYUoc4Ap1fEQoMnVfL88eO0TtFBKv+mm6LiZN8a1z9X4kFAQRKdo0Ei7egMSnSbP/a+UbPPQA/OgD8PJVJA6OyMN/GeJMkmaEKAVxi+0GJliuGi7b+htoqZcaN8uLbR16ZWe02Ubw/vbeOLTS80bYirjlZLF3PxuX2d/MWi7rK2NlmVa+aaWv0LzGItzsfI1ZPg3shYUACXIkyFFYilJdCEJvBX93HQYrhPbNgL9OveYjV0owxSC7KZAlSZYkEYokmaBEiCgFMqRMu8VHlQCJ2Tz0QiUBYyf3SXwJIjLZPCJ1TQB2OlHWFPM4Mn0ImpLXfqAHvucgDByDvcCw36zrMcftp1E2gBJhyundMuVpDxJvCzTNdRv1uJdm29LW6SLN9hKedZb2t18rxQ+vRPZW5dRbRae3nTr5xtnhcNxhOn1SusPhuDtxscnhcOxUOj0+uZHLTeZ2ekra9fa36zHeWB45+9r2BnlH0OyIwDTNnrhF4CWkh/tlpLdukYscZpApcsTJEyNoJqiHKVEkwjBpyQnHYdIMUyVAkiwPzz7HF4Ov5/WvfIlHXjknvV8+ZATg7UjvGYj5xSSkr8Lngffsl862J16E//qiDEimgeFdsvnAu4B3IyMGp2ma97wWmVieQkYBjpnnp5Beux6o+gKAjHZc4QAxpohS4MjRZwh964yMWvaacl1DjILStu68vf5xmhP+7aOb5aMDra9bf5vlv/tqvayrjSK5XE2OO8FGTH5a45c9n1c/h715LluXWSVFiGbvd57l+WK74RW4MHuUCgGKRMjl4tBbE9XBhB+imv7BGXhBARAOlAlTIkqBIhEOc5EEkw3jjBlj7nOWU5QI4aPOQ5lL1P1IT/8AjXjFZSSn5euRmHbOfIXjwNPmdRaJPTXgXUiAm4duHywag4yBHiRuzcsulSOQZhiAPDEulg5LdQzRDNM2T12jPlrr0Dvq4m9ZZrdZP6sZOa22fbtlWzGi4EYudz4b+d9a6fxrHWG/lWPASuekjU3W0MfmvizTjEs2L7g9W6w54gBQpqunRIUAPurUaj4q5QC90SKh3hJcD1JO76YrWCHelyMRzjHIFDNECVDFR40kWaoEqBLkHCeIkW+0u1Kla0z19aN9ELwKoy9ckyIfRDKfWuXEKcTQ5zgSr4LISOY7kDZZxWxzA8jAs5dh+jno80MoaI4XM/sO0Pj8KkGSZIkde1k+d8E8bLXUbR2GTJ3YHOFWlWLrth3tcrW3x5sP3LsMtl/dtRKd3nbq5Btnh8Nxh+n03jeHw3F34mKTw+HYqXR6fHIjlw6H45bp9N43h8Nxd7JVI5dKqd9USk0qpZ7zLPu/lVIvKKWeVUr9mVIq6ln300qpMaXURaXUWz3Lv9ksG1NK/dRtfXmHw7Gj2Yq203bGJndzuYNoJ8tYySRjY0P9XmOHbs9ra+oDIk3Y63kdQoSpIVDdjDLG45XPMEKa45wnTo4UGeJMkiBHiRBZkhznWd7IZ4lSIMIcn+h7GzGmuH5fP1fvizcnkVeAv0XkGRVkIrkx4XmPH6azIpp4LAZvRmRj73kr9B2U4s/+GXAWMdA4B7xoHh9HpGVG3kEQUae81XztG1AhyChXCFDhdXyRMmEucJQiEcpju6UQvWbfKHDdVEljMr+tu5cQ2fCspy7LLDdL8hoqNWa4m991eb+V9/dtJ+lod360y5G5ldjet9t5OO5uWmVpVgq7Phml1zTD+7yS2YyVfy7SyCUXAp+/TooMVQI8lDgPU54z6xXFjef20HVyntCeGSauphgiS5kQVYIUiXCOE/iokTdmGnliDDOOnzpZkryQup9gDpHbA+QQmViMhpSVTyLS2CSSa/cYEnv2IxLd/YiU9v1AD4TeC909sHgWQg8gktkkcAR8NclzOUmcCgHmrsfkc6zZWB2Mt5qpjxLL5XrQlBTbWOSN9966Xx2v5KzdlAzvf9Na8Wor49RmxKZ1xqePAt/csuzTwDGt9UPAJeCnAZRSR4HvBV5l9vl/lVI+pZQP+C/A24CjwLvNth3NreQjXM0krPX1av+ZTfwrLIdmrLH/39C8jrxTjLpp5nMMebYPEQxViRqDnkhgjsFEnrnrMW48twcGa+CHRGISgMJSlCkGSZGhTIg6fnIkOMNpDjBGigxphsmRIEKRXDhOgSjqBsyPdDUNfMaRSzsJxKBmZbALZr3NefkpJC5VzPpHgBF46P0wkISBOIQeN18ziUhsp2GKQRLkmCLGBY5SmgtLCvAe5NlKY7WVvuZotpOsJNbmurS0vl85727rMq8BopdbkV1vFVvUdvoo2xSbXNvO4XDcMp2eq8nhcNydbFVs0lp/QSk13LLsU563TwHfZV5/O/AHWusKMK6UGgNeY9aNaa1fBFBK/YHZ9sKdLLvD4dgetiI+bWdscjeXDofjlun0eQMOh+PuZAfFpn8M/KF5vRdp0Fmu0ZQMZVqWn77zRXM4HNvBDolPdyw2OVnsXcJKTlir45WWWamUn+WyKesk2Ic4edm8l300pB0aCkTJBFMUiXCWU4xyhQzyfpxhohSo46OOn/McNzLTXt45/VfspkCBKPtfmRTZxo8gEowTNKWxJk9cNzBbE4ey58E4k8HsPOLMmJJHyDolfsI8H0ektRXEHTYp+/IE8AVEjmbyXyZm81zgKHX8koeTOkEqFKu94rDWi8jaLiKy2GFblX00c11Z6UvYU99WQmNzN3klx2XP7+E38rIPLvu1WuWwXimal9WkZ1ud18nNuew8NiolanXq856z68tT55Vtes8Ir7MpNGVoXmfGEMxBNCwxJkaeIhGIavBr2N38iKWXeyg/vxv8dZ5fOoqPuuSPBE5wjjQjFIgCUCTCBEnJm0mRKAVeGLlf4ssuRKK6AORh9lhA5LGPIa6wPrONdX+1sWoEcV3M0pSvPQLd+2nmz1wABqAS7GKGKCHKnOch4g9k4BVznJj5jEZVXfO8mabpVunNCeqn6Q7uXbZy82a1KRmty1ZzBF6/M+fmsolzLgeVUmc9jw+suwxKfRA5kX9vU76Uoy3rdYxtL638YMsS7zVhY413KpGV7ntdrO21ZqXp3dgcmOHeEkmy4rBa7WUqF4Oa5NPuClagt0ZhNsrcUoRAV5X8bAyAGj5SZDjMRZJkSTNCHR+nONsoXZ4YYcp8eeQYPdNLcAiJMeeQNtATUjz/DUTyehlpWN1A8lI+jsSdFJKLN47EoozZ3+b0HUDi1QOgT8MVDjBDlDp+6viI9hUk5kXMcRuh29bXgHnYNpI3jttHkeXx3+twvX73ae+0jPVLo+/attOOjU074MbZ4XDcrWyV9Ewp9S+AHwQ0cuv//Uhihj9AmttPA+/VWleVUkHgt4GTSDP+e7TW6S0opsPh2CFsYmya0lqf2vDnK/V+4FuBx7XW2ix+mebMXZAZai+b1ystdzgcHcYmxacdG5vcyOVdhtc4Yf09Lbb3yGtIY0fgbB6nHMtH23J4Rw181CkSoUCUN/FZznKKKDNEKJJgkghFxhgFYJA8MfIMkic/0Cv5mCoZOeRlpNesH5n8PUszP9I87H0APgOEdsGrgZcvS4rJxAko54A4TJ+BcgXpcwkCDyBmPn7gLUiPWwUx2DhuPgcaKZMyfUPEyDPMOBGKhCkRI4/fX5dcT73IpZQwj2umCimbBZM0ry3vKKUdnbSmI948c9DshWvfE6fUh9sub2Wre9jW4k5PSldK7QV+DDiltT6GjNt8L/AfgF/WWo8CM8APmF1+AJgxy3/ZbOdYJxvJbekdybL7btx4zOYys/HJPkdommJZUw3bZ2sVGItQgCgzVAkSpMKVF48y9ECaQLQIvRX6H74Oz0FgeBZSFXqjRU50nSNFhho+fNQ5z3FOcwaAEmEqBDnJ0+SRUYRwvcwgebn055HujF1AAvqeqEpc66eZD24OUUr4kXjnQ+LQOPAwMjrwvNn+JE3zjePAc/B08BRlwhSIcpozFKaj8nWvI6GnYD4jBPJfb0crrerEGowUacYl70imje0rG/qsNiqwkqqi3UjBdsarLTL0uQml1DcDPwF8m9a65Fn1CeB7lVJBpZQdy/4S8GXgoFJqRCkVQOLbJ1qPey+ynhjSqupq105aabT95uN7cyva68OrSLIUacYt+z+/F7nOZvGa/HyR1xMjT73mJ5mYILRnBnprLN3oIdBbojwXprerSH46RqSvyCUOM0KaCxzlE7yDAFUAQpSoEKRKgBo+IhTZPyHtr9l4oKmK+EbJlcs3IvHnKhJvjHqLINJWyiJx6QYS2+qIUeIJs81BRHHxuNk3D1cG9jFMmgwpyoQoEWbiyRGJTVOI2qvRzPHmULfKCW8bqZ0ypfWWa31X4WoqmZVMx9bDnTT66eTY5EYuHQ7HLaOA7tuNImsbVoK5m1BKLSJa5Ankr/P7zPrfAn4W+K/IZPOfNcv/BPg1pZTy9NA5HI4OZ1NiE6wZn5RSHwPeiEjUrgEfQhwYg8CnlVIAT2mtf0hr/TWl1B8hZhg14Ee01nVznH8K/A3SFfGbWuuvbULpHQ7HDmQr2k7bGZvczaXD4djRaK1fVkr9R6T/tYwYqD8NFLTWNrx6J5/vxUxA11rXlFI3kPGkqS0tuMPh6Hi01u9us/g3Vtn+w8CH2yz/JKK3cTgcjttmO2OTk8XeRXglHqtLzvyeZ68Uyr5eRKRTVtLhzd9kTWvsBGshQpE8g+RIEKBKkApJJigQpY6PSxzmFGdJkmWYNFUCfJY3EZ2d4+FXnqccDMMZRHqRRaQW80iuJYAb8PHzsvw4cDkvctiQX0r18jmRwqY/CgOnoe8kkqupH5Hb7kcmo1tPq/PIBPUk0gfzjHl9A6Imj12VIFWClIz8LNaVF6nZnyOys/uAr5nq6QH8tv72IpI9i1cCO8DyPhsr4bPbrNafU2trnLGWrGyr8zMt/2zw+2/vwRqT0pVSu5HRSGvV1MPNuZscW0TrOdoqO2s1pVr9/PTGKGvy0C43o5XDlhHdlzWsqUEUybZbjTNeHaZ3T546PqrX+qDm48YLe+AUVOfCUPMxd22QNMOSd44iBxjjzXyGJFlSZIhQJEiFCxxhmDRhSvSdrVLDx+xjAahB7SCwAJWDSB+wHzkrrYGPTT9tpa4nEOnsaUTCXwfea7bdhcSyc8AIVN4A4wxTx0eJEBk73WUX0oViq6gXj0ov4qkrPBtFaMrzrDzW1uXN8WitWLPTJPmrsRmxye+637edtXKjriV3XOt/tLncKzaseZbBcqlmq+mY3SZCs81kpxpB/oW9VJcCAMwVIhRKUWJ9eaj56Oqfp7boI7CrQpUgkWgRH3UiFBvyVyvXH2SKIhFyxBkiS55Bkcv6oWpcw3QKqMDU6V6Cz8hr/KCPIPHpCNJW6jfFjCP/qv1m+QJNk583mO2/zXzFEdlmnGHOcrLxmdWlgIxnXUO6bxc8VRkaQKSxFit9jdAMXlZyDE2Jsbd+1ydtapXxtzNHtMs3kiv+TsW8TWo77Vh2ePEcDsdORino9t32YdaalP5mYFxr/Yp8pvo44s0ZVUr5zeild5K5nZh+TSnlR/4q87ddSofDcdewSbHJ4XA4Np1Oj0/u5tLhcNwytvftDnMVeEQpFUa6Nh9HbAc+iyQA/gPgfcD/NNt/wrz/e7P+f7v5lg7HvcUWxSaHw+HYMJ0en5ws9i6hnTNjO2QI35vf0kpfvcugmavJvu4zz9OItNMikrUiEVJk8FHnc7yRGHnSDBNBZBwneRofder4OM9xAEYZ45m+Y8zcF2LwhTl4uynOLkSu8QlElpGHy+fgHf0w+wScPgEHk3B6P5RrIo+9DAwkYfgUzD5t9n8CkZv5EbntWUSJEkNyOt1AJGiPI75Xz4Eegd2vlBkmDUCYEiVChIxjLH7EoLnXlHMRkbDlgZqtHysfHqApL/bKOmC53K/Gcpe5zYko7dwcV9rmTmEnpd/OYy201mcQY56vIILnLuDXgZ8E/qVSagz51e1cgt8AYmb5vwR+arO/993GZp4H68m32ypJWnkbKyf3yjVbpZ1WhmbdULuRa28aiEMvBKgyGMgTDpSp13zUl3zijvicOVYNAr1ijLfv0BghSqQZNjl4d/Mkj3KBo2RIcZZTDJOmSIQ8MWr4ePb0ISKVIuH5KjMPhvCflY8OfgKJM1bmb2X/L8p6gsi4+Swika0jjtTHEJlajWaOy3cCB6EY7qWOn5rJG5wjTvXv+qRaes3Xv2aradEc3FuPsyzPwWfrzSubheVTJmj8Xq2/Ybt1G3cE3no2IzZtiiGQY1NYKZdqqwxyJVbKHd183SrB9MYh6wbrvYbss73WpmlKPj05xHtrPNr1JFFmuD85js9fk5zaCwqApUqQwK4qE5dG6O0qkiBHjDyTxE2cGuE45ykRZjcFwpRNDt4KFznE+H1DHJ++RF+2SnUXXD/Zz+BX5yTeAAyAytDMsbuA/Fv2gz6BtHPipuiP0Zx4Yl39U4js9Q1yuCBVyoQJUCFAlWhXQdpHo+ZYBUQe2w2UF5FE4bYeQfz4vM7grXnXaVPX7Wk3BaNVJr3WebNdbEXbaTvZ4cVzOBw7GoX88dxhtPwTtP4bvAi8ps22C8C77nypHA7HjmWLYpPD4XBsmA6PT+7m0uFw3DoKF0UcDsfOw8Umh8OxU+nw+ORksTuQdjKj9br4Nfe1Z61N9OuVQLUmqbVugjGaLo1eSdoiRSL4qHGYi0QpEKbEUS403BazDJEgR5ZkQ8IRokSKDCXCIq+YpOkO+3Hgteb1LAz3Q/oGFBdoqEv+6qqov7qBNx6H9FWgArkFRG4WpJm8/NsQt7MjwN8iycorNBxi6ZftVR1YgBIhcsSZIUqYMmXCTBKX8lj1RgYYQpKc77F1ZWUcs4hvzGxLPdr6s3VsJbN+z7r2tCYBXsslb6313m3uGDZA3s7DccfZDMfhtc6z1sTkrZ+5sszSXhNlmjJ+kOus3LKuhEg8p5Frb7qRYGaILBGKhHtLFAsRkYGdqEhy72hF3GKn/Fx7dpQiEQ5xkRBlyoSIM8kwaer4eJQnyBEnwSQ107X80MQl/PUl/POIVPYUEmNSSNi8iih14zQkZ+QReZldZ2VqPUgcPIWUcRJ40KyvwEUOUyDKOR6mbOP2CTM/IIg4WsfMa2XjjDdpu032buMOnnr1OjTaur9ZHmt/n3bOi62/7a3GmDsup92M2OTi045kve2hVpdQL+3PP+8P7pVoeqX5Zc92VhLrvZ4maTqkhhnan+FZjnOJwwCMBNLUa36RjyJy/VIxxNChcfzUmWIQH3WOcx6/cY6dJE4FcZzNkCJAlQmSJJgkVs+THYgBEJyHPeM3lo+ITUBtBGnPJJEY1QOMg6ogcSSJ7FOhaXj/bUhcegFxvM7C2Og+MqSIUuAKo9TxceXMq2T7DNLc7EHksWVbd5dpxqRumhJjP80pWK3Ttezz6u2lVnnzWu2n7ZbCLqPD2047vHgOh2PH46KIw+HYibjY5HA4diodHJ/cyOUWsZFe2na9K6v1vrTmmxNae3wWWx4Wb065WWRUAGQSdgjIQ6ibKAWqBCkSIUKRGj4uclh6rhjlCqM8y3FOcpY8MaIUSJHhaU7hoyZmFzeQXG5BxNwHpJNvQCYnH0xKCWYngR54bJeUwg/kzot/Dzk4+AjSm3aQZg/OU0jv2zhirhGUY3AGMfr5PNAPz953iOupfiZJsNt8pxxxAlQpLEWlx+2G2Sdijp0GJuzIwF6zoI/lE/ftSIF3VNj2cnqXLR+9bM1b2q73bUfnnrPzBm7n4bgj3G7MWWubdqYYrZ/p7V1eOy+vHQWwORjtNTXr2cb2fFsFwQD0wLVsigJRctU4+bG9VAsRiGpYkN5+poJ0BSvQC72jU/ipM0mCKxxo5O0tESJCkXM8bPLfhvBT53O8iSeGThKch7GhfQxVsvjnYfYNAYk5/chI4rR53Q/zB7tgGmr74erJeNMgw2ZqnTTbJoC3yPPs/gBjo/soECVJljEOkCPB3FIEXvBL2HkZMfWpmNcabh6NDJkC2XrE8+wdpWw1IbsZr0HGSqOYa5nMrcSWqCpuNza5+HRH2OxR640cb/Vtve0m70ibV31ksaNviyyPSyAjciEgxMSlEeaWIpQIM7cU4dzVU7LJICzNh6kWIiQSk+SnxTysvBSibPLbhiiRI844wxzmEkUiRCk0HjHyFH0RErN5xlL7RC0xiVz+IO0uY8RDCmo9iKlPDWqP0RwcrCCjkz2IAuwtNGPWG8CKusYZpkiE8xwnRYbz08fpGp6XlffRHOTdBc3cuhYbe2xdeY0OvYqv1tHg9qxmFtcubnnX7Qg6vO3UwffNDofjjtPh8wYcDsddiotNDodjp9Lh8amDv5rD4bjjdHiAdDgcdykuNjkcjp1Kh8cnJ4vdIm5FAtROTraaZHbl4X4r9bCaBauFCLW8tjI0K0WbBmJQhhhTjHGAAlFClBgkz9/wVsZNDqMEOQCe5FF81MkyRJUgAHsyZoL5VSSnWwWRXeQQ6cW7zOMEHNkPX1mA8lWo1SCRhLcdkefXALlJZH54CrkwvaY+L5rPeM583R7z8APfKa8fGr9EuF4mTq4hMXkzf8sI4+SvJcCvRXY2LF+dBVNlkT5TPzmahiJWEjtNM/deq/TYSmatNNb+FsujSvu8W3cJHSztuJtZTTJ0Jz6r1QBmNWlSk1aTK3vteK8Ze51ZOZVdRmPfE8lnKBMmGZhg6NA4+OtwXcGYouvr5mEXLL3cA36Nz1+jRJgiEZJkyZIkziQTJIlSoEIAH3XKZptTnGWYNFP39TI8ew1/fQmAvrNVdD9wA7528oBIx/qhkoSeySU4CP4bsP+VyUZKTmpAEubf3tU0+dkP9ICvViNHggJRLnKYOSLkiOPrqsMgYuQDEpMmvHVopWVFmjl4vUZj1szHa9bWrLvVWjjevIDeXHJ2nffZsqPil5PF7kg2WxK9Vrvo1s3vvFNdasg1Zv/T/eY9NOOR37PfNFAmNvoyx7vOU6qGiHXlObT/AtFwga7+eXr35AlEi+RycaoLQV7KjnCk6wJFIhSIUiRCHT+HuUSaYWr4ZJoRMEWMCxyhbk7SGHmuPhhn5nRT+l4xClz/UyLV9+dh/lQX3AC/ldAas8P5lLkd2I+00fqR+DQA8/Eurp/sJ88gJcJkSXKWkxwYuMJSrgeeAV5BHBgXMbHK5tY9wnKJsc3La+vKymGt7NhKkNsbjbUzPvTGqXby/db9N8IdjWcdHJs6+L7Z4XDccTq8983hcNyluNjkcDh2Kh0enzr4qzkcjjtOhwdIh8Nxl+Jik8Ph2Kl0eHxystgt5FaH11tlACu78/kb2y9fFmp5bR9WfuB17Cqa9zXEjlD2vcBRTvE0YUpMkGSMA3wXf8IoVygQpUSYFBkOc4kAVQbJkyHFYS5yPdXP9ZH+phLieeA/I6qR54E/A87B4hPwlasiosjNw+UaPJGF/+d5KN+Agz8IiUeAOLx8zhT5FBhFblPGccMcexqRxaYQ6WwF2AVXfAcaZa7j4yKHuMBR4vuzUFNyrFcQ57VdQBSRyi5z0/UjmhIQfVvE1J03b5x14rV17ZV+1NbMFbea3LmjpGeOLWUzJGmtEsnWda1S/tXlsfaasNIp6xjY6r5s5VR2uwFs7Lo4KznkSoSIMUWgt0TgwVl6XzvFUlrksF1752FXlcFAnjAlTnGWHAmAhsN1iXBDgjZElgBV4nW5zisE8WfhYvgQM0MhKsdBnQX64fDsFWaTASr9EMxBJQbzI13U+qXk11/fz/Vj/RJP/FD3+/la6oDkn6vBs6OHSAdHCFDBR506PoZJM7GUZPJqUnJ1Jkw1TCExacFbf95nbz5L+751G+++N7tXe2mVFba+Xs0heNtxsti7npXOpdXOsXbxZ6UYtFw+6b1O/CzPywjNmBNCGhjevIxhmm2rSUQHP0uxEKGGj2RgghJhcbSejbFU9zM3FaWa7mMp10NszxSh3hIAKTIMkSXPIEmyXOQQAAkm2U2BLEOMcgU/dfaPT3Kh7xA54ux/ZZLd42VYAN0PwRswft8QHIGe8SVph5mvNzXSy9TJXioxuH6sX6T8MUQi+2AXX3vwAByHZ1OHuBQ8TJqRhlNskiyD5Hk+e1TydaaAMdmXPBKfjCxY2pGWGk25rK1Hmzfcm9fSKz2++Q7M2zbyPlqnZbT7vTcam+6oq3UHx6YOvm92OBx3nA7vfXM4HHcpLjY5HI6dSofHJzdyuYVstAektcdtpW2ax5Ven2YPnO2VLnvW29FKizWBsLnR/EgX+TTwIDJDG3ZT4Iu8jgBVKgSJMMcZThOgSooMUQpcYZQMKSaJM0yaEmEucphwvUy4XpZRxR7k2fbCP2DevwjdByWLZGI/DJ+AV/fDY0l4NRB6AMlViWy/93EkF+UnkNHLLDIqYPIxEUd6dk4h+TDjiNmPXya+y0R5H0e5QB0/MfL4qEvv2z6zTw04j+Tm3IOn0N6RE2s+Ynvp7HrvCDAs7wFt/k72t/L2srWOUrfreVvvubRjRhAcHUW782+tEaub19v45DV0aDXGsNhrro/lhlkRCEG0T/K+RShSYDfVuTCRaJG5sUHjWyaKhHhSjLwqBLnIYbIkCVOiSISQec4yRJQCfupUCXDBd5Q8MQpEmXqwlygFdo+VCWbh5bfEIAj+cei7XCWYlxGB4DwUgxGm+vq5fl8/fuokpm9wfaif60P91H0+RktXGOu7n7HUPsKUuMghLnG4YZx2nuMEuqow5ZdRSmuAZqupkeMybOrCxpZFmiO/sNwQyWuetPKIgPd9+zzKy9evtM9qx3Y41sNKcWU9+cBXU/20N3yptbz2GtFYrMoiQVNlATfl3zWjdNVrfaQZoUSIIBXqNT+BXRVie6Yk9649JFApB8iQYpxhMqRIkTH5xP1kSeKjTo4EdfwUiHKc84yPDJEiw4OvvMTMfSHGR4aYT5qmfR5p10zC2IP7iFSKTAYT0A8Fogy+MEcpHGLP+A2upuKMfd0+vpw6Rs/lJQ7PXuHZoUMcqIyRJckkcer4CFMiQ4qzpVNwPSjmPVNAneYg5RygvAaHXqVciWZbyKosvOY9dnlrrnapqLXiyFoj2q3tq/Xs59g4HXzf7HA47jgd3vvmcDjuUlxscjgcO5UOj08d/NUcDscdp8MDpMPhuEtxscnhcOxUOjw+bZssVimVUkp9Vil1QSn1NaXUP9uusuxkVpIcteYfE7xnqndytJVFQVNyYCUcEZqSj1maEs8I3lxzKTKc5CwBKlzkEGFKHOdZ6viIkSdnpLDDjFMizDlOEKFIjDwFX5S+q1Wm3tIrpjuPmaLFgRsw/QngYSl+4hFEUTIJ5YoY+jx2AvDB5cuI/HXcPOJITqYTyETyS+b9d5qvkwD+B/CC2X4A+BiEKeGnznHOkyVJghxRCuRycZHE2jyZvYg89kEkj1Oj/vymrqzBj5XB2PoPtTygKfPwGm1YA6YPtv09vRLZdjm7LBvP3bXJdOCkdBef1kfr+emNTfb9ysZU3lxnVjplY5ONXxHPdouIpMorpyrCHNTxUSHAJAl81Ijty5FPJ5sfU4Ol+TBTuRiF6SjZ3BBJsoQpkSJDliRf4jQRihILiJMlSZEIZUKkyFBFJGs+6lSSUIvD3lfyaCP1nz0YoBKDwRfmuHpfnDJhrjDKHBEC9SoXBg5Qx8+XOE2FAGPhAwSpMsWgyW+5myliTJAUSSxVAlTEzGfBPC4i10wBaZxQRuKQje82lpc99WTr1cYer0nSzTLZ1WT4K5mhtDMna5UlbkksaqUDDX3uxdi03nNnpXPOG5fWk/NS8OZdbJXG1pDrzrYFoNkWsMvl2utKzOOjhp86FYLUaz7qNT/5v97L0o0e2AXxo1ep1XwcTVygUI1ymEs8zDkATnGWCEXClKgSIECFMCVClLjIYSoEOM9xXr4vRpphhqcnKAYjqE8C8ybP7gAcmL5GeH6JkVcmuD7aT4gyTz14grOc5OpInP0Tk5QIs5sC8we7+Gzfa8kRpxDc3Zg6kCFFiBIzRKnXzMURBTKmCnYh7aYaRrbvrS/73DpVy1vf0JTPeqdNLD/Oar9r6zmwmjy/NW5tuTS2w2KTl+28b64BP661/opSKgI8rZT6tNb6wjaWyeFwbITO7X1z8cnhuJtxscnhcOxUOjc+Adv41bTWE8CEeV1USj2P+Lm4AOlw3C10aIB08cnhuMtxscnhcOxUOjQ+WXaEW6xSahgRRp5ps+4DSqmzSqmzr7zyypaXbSewmvNec1h/eb6y5jJY7q64yM0yA68crRvRm3Z71onjWJ5BMqRIMkGGFBMkKRGiQJQgVRLkyDNIjClSZKjjI0+MLEmujsQZ/JM5yUH5nxDXwx5gEgaOIZIvH+LoOg2L85BbgFf3wPRz8JVzsK8HynnEiawPmEeO9wRidNuLyGD/F5JrKQ+8Gzhpvso08E75Lj7qpBkmQKVRzkRiUmQdC4h8t4CY5RYwEjQQWZ7N1WSlMSGa8g37O1jZsZV/RLg5Z9PNbmgrSXZWknx411m2VNqh6GhpB6wcn1xsWs5qeVlbaXW4br5uzW05TVNa3o04o3olanGo0cgJGaBKlSD5awkoqMYl2T96Hfx1/N11aos+IruLFIgSocgXeR0JcpzgHAWiVAnyEOfxUSeKuNBWCBBnkgBVErN5SuEQlWAXz953CDUP2pzHY+EDjD24j1hliigFAlSIUuC87zg+ao3pAvazi0S4wNGG5O1JHqVAlApBikR46cXDEtvmzFdOIK6xQVs/NnZbmb6dAmFleU15XjPvrpeb49FquUtXk+e3Y1uksJbNiE07PD51ettpPbGkXdxpN53ES6us8mZa5ZheaWw3Tbm+bSN5pfp9NNtTiwRDVXZTIEaeQaYI7KowV4gQeGQWeivgh+JshOpCkOeyDxEMVMkyRJYkaYapm5MwRYYMKYJUqePjEocJUMFPnWHSFOklQJVif4DB2RvMvjsgbvxIzsv0wBD5gV6m7uulagLIYS5ynPPU8fHykLTVAC4Ej5JgkjQjPM1JphgkS5IMKS5wlDp+In1FaR8tIG2xGnK9TCFm+UBTMmynXHndY71ThGzMb41Hq999tea7tLT7Xb1TylY6r7Y0XnV422nbby6VUr3AnwL/XGs927pea/3rWutTWutT991339YX0OFwrIztfbudxw5mtfjkYpPDsYPZjNi0g+OTazs5HHcxHd522tbiKaW6keD4e1rrj29nWRwOxy2yw4PcreLik8Nxl+Nik8Ph2Kl0aHyC7XWLVcBvAM9rrX9pu8qx01hJktSayPpm+WStjRTA69DldYv1szzhdqv842VExhCRZwVjHOAAYwySJ0IRH3VSZCgSaTiJ/RnvpI6PMmEqBKkQ4Djn8VGjREjUIpcREU8QkaDG4eVziKziBcT5dURK0geEekQ2e6QHQgkIxYCkSGWJA6fMPnHzNY6Y42aBCvAU8LvAI4hM9oYkD67jI0SJOn6mGMRHnYlsUsow6KmOUUQW24tR58VoSszupymNtVIPaDrDet/f7BLrjSyt8p3VHO22xdVsJTpU2uHi08qStHZSpPU7xLYe2/vvaiVnrS6N3vWziDQ9ZtaJ/ipHnFRXpuGqOLQ/09ylADc+swcKfqov9JFMTFBdCIqEjAjDpAlRAiQ2XOEAFzhKhhRZkmRJ8jxHmSROlQB1P1QIMBFMcqAyxny8i+ou6BuvkiRLgCrByhI54oQpM0WMMcQpNkKRGj4ucJQznOYspyjSy5M8yhgHiDCHjzqTxClWe+nqKcEVJJzk5bswiMRLbesvQjOZu1cybOO8rYjW+oT1SM+8rOe33TF0qCz2XopNa8kU27WJvP+dK7WXVoph7emmed20tpXsetsGGECk/H2I9XyN8nO7GzL3zFKK6kKQ/sEZqnNhqPnoH75OveYj1ZdhKJk1svndpMgQJ8ezHCdMiQoBANIM46NOnBxBquRIEKBChDnClAhWqvhqkPUNSfHmmiXOkeACR4lQJEiFLEkucZgiEQpESZCjQpA5IiZm+RpS2CxJ4uS4wihphpnKxeSg183Bp4C6p1oaLtZlUy+2HWqnFHnd9FvbodB+qpew9v9Kk9Ucrbc1hnVo28mynffNjwHvBc4rpc6ZZT+jtf7k9hXJ4XBsiM6dlO7ik8NxN+Nik8Ph2Kl0bnwCtnHkUmv9d1prpbV+SGt9wjzu+eDYrvfMO2q5cv4ev2dZuzPWm/+s5tnHTk6HZp4mzDZFxEECkkxwnuMMk2aUsUYOyyBVMqTIkOJhniFOjhAlsgyRZIL9r0xSIMqDmZcgiYxKxoHjyOhiHPa+17w+AYzDxz8P52+Y0s7D7AswOw+5F+GvrgJ1GPgR4HnZnmngbxGDoBTyOUkkR2XFfN7vIIMd/TLqMEQWgDwx6vgoESa2Z0q+bi8whuRvSpvnIFDOIUOvCZr5QP00R1FsHbcaZ3hHELysbaDhfe9lrZHNLWML5g0opQ4rpc55HrNKqX+ulBpQSn1aKXXZPO822yul1K8qpcaUUs8qpV690a/l4tPK55E3HrWLSe1GM1emdeTMm+PSxiI7ncy+D9M0hHgZgrCbAiHKFIiSnU0ycTUlPendyLX7oKYrMQ9AkArDfWnq+IhSMGY6QUqEGgY+NXxUCTDIFMOkeeP03xOlQJxJgvPgp87o+DXKwTCF4G4x+EnSyI/52b7XkqxPkGaYKkH2kyFPjAoBznCaMGWKRIhQpEqQGj7yDOKjxmd5EzV8lOfCLM2HxTCjgCgycsA5lqfca9SR1xDJjhJ4RwTsKAKebVan9Tdcj7JiJZONlba/Y3TonMt7NTZt9NxZqb20kVEvweZd9L638clPMz7Z62uvWZeWbXtlbR0fqa4M5Wu7uXEtQe9gAfx1ijPS/spV44QpkStJm2uMA1QJMsoVpoiZHL51DnGRMQ4wSUIUG2RIM0KQioxI3oALAwfwU2f8viGmRnr53MA3UCBKmBKvf+FL+Op1nuRRfNSIk+M8x8kyRI4EaYa5yGHClAlQZcbsl2WICZINo7KlfI80hRYQY59dyGjavK0n70ilNRcL0TQ79Nand592uS/b4/2NW/+P1pvrctvo8DmX227o43A47nLucIDUWl+0jSjE+7cE/BnwU8Dfaq0PIt0LP2V2eRvStXAQ+ADwX2//SzocjruODry5dDgcHUIHx6YdXjyHw7GjsfMGto7HgSta65eUUt8OvNEs/y3gc8BPAt8O/LbWWgNPKaWiSqkhkx/O4XDcC2x9bHI4HI710eHxyY1cbjOrDc+vJnm8Oc9YbZm5z3JaJ0Z7zR0WaSYlsuY0dpu9wHnYBWFKDTkEQIlQYxJ4iTBHucAYo4QpU8dPlSBZhnjivpM8WnmSZ1JHJHdkhaZ0og+Rr541yweAGzCMCEpmgWfnYXpBSpZIwtuSUH4R+BQsVoAHzfESiJlPDyKXTSJmPscQ9eoReT2TCvHgmZcoEOUwl8iSbOSYm3kl2lSz3IfIYfeY6pjCfIhNNGflxX3mPTQnrUPTmMRb57aOay35SYV2BgSWdjK0lXLN3XXSMxi0+djM4wOrfOL3Ah8zrxOeG8brWA23nLgZzz7XzDLHBlhNStTOHMH7ulWu1J61+jbtNTRg3nulVOXmunl4NnecCEUiFKmUA+zbn5Z44wdSFXhOSR7bQdnbR62R3/YZHqaOjwK7sTlwk0xQIkyvMb44M3DC5POtcPW+OFPEmBkJMTgxh48agUqF8fD9HJ5+iSAVRkhT9/mIkW8YnllpW4QiOeIU6eUih0ypI43cdYNMSQyd6oNrSgw55sx36TWPmq0DO32hz2xgY7qf5TJ9r/x4keVSv5VNfVYzPFlL8rzSFI8to0Nlsfcq6z2fVopT3vdrS/a9P36N9jkZvbnA+2jmmbVTZvYC3QT2zRKhSH4pRo4E/aPX6eopMVeIwFSQpYs9AFQXgly59Coi4SJJsgSpNmJFhKLJ4RtggiSD5MmSJMIcRTOtKUeCAlFm4wEiFInXZUpSqFLidbN/D4g094UH76fgixKgSp5BLnGYQ1zkaU5RIkSWJCXCnOUkZUKUCZvpQ34umtyaL714WNpETwPPIcaHUghpgwEiMPJKYGvIX3GNZkz3yvjtezv9Ac/y5Rfiegx5VvqP8r5f7Ry44+2oDpfF7vDiORyOHc3mTEqf0lqfWvOjlAoA3wb8dOs6rbVWSunbLonD4egMOtwww+Fw3MV0eHzq4K/mcDi2hK2TdrwN+IrW2g4V56zcVSk1BEya5S8j1k6WfWaZw+G4l+hg2ZnD4bjL6eD45GSxW8h6nT3byZBWym1o5R0ryzysJMorNfA6l7ZKaO22A4hl6l4oS/43gD3jN8iQokqQAlGiFIykLMow4yTIEabEMGkiFDnAGJlgiodfeR6eQFxhY8B5REVyDtiPODqega9k5ZO/8wE4uF9KOgZEdsHiPKSzEDoi23efQmxdTiEy2wUkz9LbzVc5Yh4nEdVKFnb/RZmXT4vE4ywnOc0ZSoQ5wBjBUBV6tahZ9iE5L0dp5nFi2hR6L01ZxzSixpym6R7rldN467z53rr6av1BoL1Mx7vMytNWk3qstbwDeDdNSSzAJ4D3mdfvA/6nZ/k/Mq6xjwA33HzLjWNjzmry1nauxq3uomvLi6yroDefnBev/DOEyK3yiIA+BH54U+Jz+KhJnstImUIpKibYu4CxIJyqUKqGwK+5cvUweQaZIcohLjLKGAGqJp7NECdHlBke5Un81JkhyiRxfNQZY5QsSer4CZfKTA314qdOORhmpPQSVwb2McYoFYImN9wQGVJEKVAmjI86ZcIA5BkUuRwxnucoFQLidkuSa1eHJe5MIVLeBUSm/4p5ViBxJofEJDv1Ic/NcWfRs96bm88rh13u0NhOPtjOKbadk6yXDo5FDZRSv6mUmlRKPedZtmEna6XU+8z2l5VS72v3WY7V8brqex/AOuOSd7zFTntplZPb7ez7EHINDtCUxE43llWn+sgTY6gri486kcCcHGIuKM/7NNXLfQR2yZSjMCUCVMiQakzfKRMmyxA+6gBc4CgneAYfNaoEGGVMnsevUfBFSZQmmfTFiTNJOjhCsS/Eienn8VHHT91IaosEqBCgyiQJUmRM2y5AjCnKhKnhI0eCDClKhIiR5/mlo5BWMIGoXN+IxKo00hSasnUFzdhk66yvTZ2XPdu0So7bxaf1yWFvV9baCbFrO2OTu7l0OBy3zhbNG1BK9QDfBHzcs/gXgW9SSl0G3mzeA3wSeBHpl/jvwA/f4rdzOBx3K1s35/KjwDe3LNuQk7VSagD4EHAaeA3wIdvoczgcHcjWtJ0+yjbFJieLdTgct84WzRvQWs8jY97eZXnEPbZ1Ww38yJ0vlcPh2LFsXWz6glJquGXxhpyszbaf1lpPAyilPo00Cj+Gw+HoPLYgPm1nbHI3l1vIWsPsK8nPWhOWb2zYfxHRh3kTbNtEtnZ9qOW5iOgbBrAGnOMMUybMl0eOcYArTDFImmFSZCgQNa6IZT7DmzlspGZnOE2KDEUiXL+vnz3Hboha5CmaTo6fRySxR4BJePURGsqu3FUp+fF+eOIGnPaJyKL8PIQep+kyexnRrn8eOT7ACURy+3nk9uMccBw4RkPO66PG0xwmTIk8MeJ9OV56brdIbAumGj6HqO+exxS4jOg/iqZeF02BrSSmbOqxSFM60ypNszQdftslAm6Vn3m33TGSjQ6flH6v0yolW80xdK0k5TfT6mDdKoktg3FCbD5PIxekHxmYHoAo5IgTpkyWJNFwgWxuSC7TBeCEhqkgN+b2ENozw4G+McqEiTPJFUYJUTIxbIpJEkwYyViB3Q2X7GHSRCmQIsMYB0iSZTx8P2HKROsF0r5hhoNpikSM26uPDCnypj/kCqPGiVa+83mOM0ieSxxmjFES5HiW45QJE6IEc+aiKiBxbhG4goSWCp66sFMYrAzPJi3P0XS59NOMQbaO28Wj5u+yWqxZyz3WxSZg407WzuF6Ddb632uNO7d2HtZanu1UF6/7u/2Pt+0lK+uvtawLyf67+qiZyXWFUpR6zcdgIs9kvqf5MfNQr/lhAXzUyZAiZU6HSeLEyFMhSI4EIUoc4iJlwtTxE2OKKWJkSVIb8VEliC8s8tlLHKKGDx81LgwMUsdHigxBI7ut4WvEnBh5pogRI89ZThKlwBVjA1vDR5oRikSIdhXI79srUw6+BvwFItW/jkj4IzQTEIB5U/TU0SJij9DqYm3xSo/tc7s4Jaw0faO1HbXj2L74tCWxyTULHQ7H7dHBk9IdDsddzObEpkGl1FnP+1/XWv/6end2TtYOh6Mttx+fdmxscnMudxArmfKsljNufb3FZZo9bPa97YnzTljPmeUlzBgh0kkBKTIEqDJBkiqBxqTzHHEAohQAiFDkAkeZIiYmOVRJMMme8RvS4x5H+kCmkRHCpHm+LPkry1eRHrEF+fQ+IH1DBjYBDvZAKAHTnwQeMcc7C4tPsNzTIm/WvVOORVKe55NdvGriCmFKBKlygnNMEeMih3np2Qel560HmEH8RnvN/gpTNwdNSfbSnLhve9/8NPNc2dFiW981bu59W963s5aB044bGYCOz9V0L7HWiON68hquZEy1Mt4TwMap1pOidUTTT1M54Icy+KlzZemAKClKUSK7i4ReOyODnC8oiNagBuVruymwm8x0igwpAlQZIQ1AkColwgyR5TwPkWaYNMOAqB0CVCgSwU+dc5ww24ca6zO+FDkS1PBxnuMN840iEYZJkyLDBEkypKjj5wynAYmZU8RkVMAY/1BD4s4e4H7EqKyILJ8ANMiIpdeozZpl2FFLaMajRW6mNRdve1YymNvxbN6cyymt9SnPYz2Nt5yRlLFOJ2vncH2beGNPq9Kn1dzHbrMxbL5Ge815VUnWaMzmvATbGInvz5q9wyTCOQK7KkxmE9x/9AVYhNhwFkZrlIohuhLzXLr0EHX8XOIwNXzEmTSxYYYkWcKUyTNIgCpBKuQZpEyYE5yjjp8kWc5znIsc5gTnSDBJmhEOc5EUGbIkyRkDnwmSVAiSIUWOOHkGGeMAZcJc4jBZklzgKAV2i8nPUohcKQG9FVGGXENygl9HmkQFzKilVVD00RzFhab6q7UOW/Nc1loeTdajpFjNSG5L84Cvxua0nXZsbHI3lw6H49ZxN5cOh2MnsnWGPu3YqJP13wBvUUrtNmYZbzHLHA5HJ7J9bactiU2uaedwOG4PJ4t1OBw7kS2ITUqpjyGmF4NKqWuIs+IvAn+klPoB4CXgu83mn0SSZY0hQ13fD6C1nlZK/Tvgy2a7n7cGGg6Ho0O5w/FpO2OTG7ncBjYyLL+WHNa73c2StNaJ0N4J0rOIfsGa0EBzgvo+ZI5vDWvQGaZMkixxJglQJUuSOSIU2E2FAEmyIg0jxXHOM0ieOn6yJEnOTkIv1A4CV81hTwA3PEVbgNAuuDYPX7kKixUYjsum+3pkk9l5uDwPnISBb0NyZp4ADkL3YxjTHURWO2++5iQQh/l3dcFx6MkuQQ3yxAhQ5QJHOc55UmToSszLZVU3jylElhbDyNBsPqtuRBXQDUY211QWWAmI14zE33i9/PdZOXeTdyL6jpaguZHLjmCzjA9aZWft8iV61y83dPAj11TR8x6aMaobkYLafJdGbm4MbqJdhYZMtTwXplyIwBxyDU/54RoE9sxSXgoRiRZJkWnk6M2SpEiEOj7yDDZy9R7gClEKjSkBdXxEKPKaypmGMRhAnBx5YowyRoJJQpSoEiBAFRBTjjwxhpBcd3lihCnxLMcJU6KOnwhFsiSZfDHVzK37FBKHepEQch2JTSzSNBebpmnc45W/LiLxysrMvMu7m/W3xsW4XjnsjpGbWbZo5FJr/W6t9ZDWultrvU9r/Rta67zW+nGt9UGt9ZttY0wLP6K1PqC1Pq61Pus5zm9qrUfN4yObVg93GSsZg62WE7x1Wev/Z+t/6eqxzivhxPO6XQ5ezPJZRAJapHnNycSeyUv7SZER+Xs1xo30HigEeenFwwDkn9tLKFpkKddDOFLmxKGnGhJYgBIh6sZ4x0e9YTJWJMJVUvioMUSWLEMN2espzvLGymdNfsowYUpUCJJmmCIRDnORcWPIeIlDJJjkS5zmKBd4nqMUiHKRw2RIEaZEiRBVgpTmwsz9+SC8EBTZvo+mB2QOkcU2qq1s6uJllue99K63z3an1vyWN7NaPt3WKWQrTTPbyLHvGFvQdtrO2OSadg6H49ZxbrEOh2Mn4mKTw+HYqXR4fOrgr+ZwOO44CieLdTgcOw8XmxwOx06lw+OTk8VuA7crP2uVT3qP2VxnJbF+mjIP62yGWWZlmwM0czUNeLZJILarIuu6wFHClJgkTt24mNXxMUKaCxwlQIW6uVqmiJEgR5IsU339jN83hL+CqCLeici9RpAclf0wPQ3P5yGxC16dhM/fgGcnpSSX5+GvgMRxcYvlOVPcbwTGgVPm+bVITkur5k3SyIPZc3lJZLi74JnUEWr4mCTOJHHSjEhZExNwrCbSswUk/+YCkiOzgZWT2brLmTobMO9nPfVn5X02/xUo9WHPsZb37bTma7KsJP1Zad2W4mSxHcGtxiTv+douH2vr+tZ9BSvZ9Dov2vfWWdC6Wi96HsaJsAZTDBIjT4Q56jUf1YUgXUGjl10ABmvgh2q6j/z1QeJdk5ybPYGPOlMMNvK+HeUCYUokyeKjJjJV4lQJUCRChhRFIuSDgwDsLt0g40sZ18UAFzhKhhRlwhSIGqmtnwrBxv51T4siSZYcCQpEKbDblFeJFPYakj9u3rwuIJL/qN3bxus+ljsu2nrr9ry29WxfW1de+z+x3JXR6/zbTq7f7nf1/gdte1yC7Tb0cdwiG5kO0i7nt1cO2XourvR6+Wd5ZZr22balbJ5GP83/fNvGsteW95qbJn7oqrSDGOTG1G66+udll11V2a1XUy5E6ErMM1eIMMUgdfz0UmQ3BTP9KEqFID5qDfm+lehbSescEZ7kUcKUJNYEU+Z1LykynOMEJcJEKPIkj+KnzhijDJHlIofxUecihxkiy1VSJMkSpUCJMHNEODd9gkhfUWZNLdCU6FfMo9dTVQ3ZfjfSVrLSYYuN89axutVBdnVpbOtvtpoT8EZi0ZZOQerwttMOL57D4djxuCjicDh2Ii42ORyOnUoHxyc3crkDadcD0250oLV3WbZp7WmDpnGDpZvlk9aL5tn2MFmjiMvY0bchsoQpESPPBY4SJ0cdH0mylAjjM8cPUKVCgDp+AlSJUqBKUIwt8sCDwKeQXJK7gP1AEgaOiZdObgGezzbHUvf2S2neH4PFq8bQB6Q3fxxJO3nWPD+FfMYIjdyZgAzA3mg+DtSvkCLDDNGGqcezHGdyOg4L/ps9MYbMMSmbD4h46qyMjF7ankuP0UijR9P2eEKriY83urRORF8pf5N32a30tG3qqEKH9745ltPOZGO183Ol/W4eGYCm0Yw9MbwXou31bmMCcR3KSyGTI9LEtYUA/u467NPSyz7hl3jTC7E9U6Rnh3m070mCVIgywxBZDjBGkQglwlzkMFWCBKkQI4+PeiMfpTXeiTNJLizqhxJhqgRJkWn09qfIEKRiRiWj1PExQRIQZcczPEyaESIUqeMjmxuiWIrIiEANGa3cZaphzHztBfO4SYWSo2k6YuvP1lFrDjnvKGfrb2B/rw+3HfVpjUsrjUbvCBMyN3LZkaxm6NKOdv+VK6sovHljW6+Tmmd9DTHx85pl2esxQjO/o5/CdJRJEgSp0Bs1aqYZoCYKht49eaj5WJoP0+WrUShFKRHiCqMUiVDDR5QCw4xTJUiYUiOmFIlwnuNGgzVJhCLjDDcMgHIkSDJBkYjJVV7hImIkdIbTFIhygaNkGWrEqEkSRCiadpzPFDdKaiDD5IX9oqooICOVdrTSm0o9BGIyBk1zI2t4ZOvUxi8b873xrNXkrT2rtWM2kudy21QWHd522uHFczgcO5oOnzfgcDjuUlxscjgcO5UOj0/u5tLhcNw6He545nA47lJcbHI4HDuVDo9PTha7xWzGEHyrVGn5Ma1Eo91Za2VRVr/glcvWkHxElxGJQh9wBNgLLFJgt5FMxBs5m8Y4QIQiUQqkGSFDCp8kYSNMiTIhKgSIUGTvRF5yXI6bw04i8q4cYrxTh9cAB0/AkeNSoiM9kL4hAl2S0H3MiOKs0c5VRP6aNMV/vxyHc+Z9D5IL04eoMuIwezBA32SVIhEiFMmQIsYUSSaID0w2J6mPItKPkHmdhqakzMrNbE5LW5c2R5/Nh2Xr1ytV8/4uNbT+4E2/UmueLi/tpD3rPafumGStg6UdjuWsdO6sdr6238cbd9qdBN7cu/bamqZ5zYVoSK98EOvKkyHFFIOS3xKoXu8TcxwQSXwv9O6bIn8tQbhXTC/GGGU3BS5wlEHyjHGAOj7SRlqWItMw0EiR4SgX6KXYkLue5zgHuEKYEnFyVAgyxgGSZDnLKYpECFLhAkcZZ5gYeQpECVJtGG/Y3HNLdT9z12NSHVFTNc8gZhkJIIPIZMvQjOXT5mEnEtjYbuvOK8/3StG88j9vrsvlv09rjst2ktjWbXaEJNbiZLEdx1rnV6uRmHf52udmueV16wnQaohlDfzsf76dMmNzzyaoFiTOhCgRCRdZyvdAqtKQ6s9NRaGmCESLLN3oIRIuUiZMjCkjw5+jgEhrAS5ymCxJfNQbOXWtRHaYcY5ygSkGmSJGiRBBKuSJUSJMnkEGmWKMUWLkqZopTIe5RJwcZzlJiTB+6lwyn3Np6RB1/IznhkWe34s8Z2imII4i7aab4pONQd42ko1HsNwIaTXWvhBXyqncOrVsrZzxW0oHxyZ3c+lwOBwOh8PhcDgcjttmh9/7OhyOHU2HzxtwOBx3KS42ORyOnUqHxyc3crnFrDd303pyha0uc/TmLrNSBOvK5ZXEWldGO86+zzxHzPpZ2N1NmmGGSROgygGukGeQAlE+w5u5wFHexGcJUuUUZ6njJ0MKgOc5Ko5jWbj6lrjIWE8Db0EksjFE3pqHxEFELuszoooHIOaH70lC+UV4+QlT8stAL1x+AlHxnjNF/jNEHTYCHEPks3lEVoZ8Xl+2CvNwicMMkmeYNFWCFIhyLZuSfQYRB9oTiDNa2pSz4XzWh8iFMXVnc4PaevRKQuwyW+/L3WLXcr5bTQK9UcfYOyL/6HDHM0d7Vspx6F2/3ji2PE5BUz7VKvHvM89et+sQhCBXjRNjijAlAPr35eTarQGvmOddMJceJNBbIn8tQR0fw4wzxWDDHTFMGR91hklTIMoYo5QIkSXJGU5TJEKZMCGT7zdMibOcpEiESRJkGSJIlTEOMEy6kUPuMBcBKBIhR4IpCSjU8VEkwqVnHxL3yBdU040R8zyFxE1bPY06su7UIc/KcEtd2fqyEj+7ndeJ109rXLK0ymC9krON5LXcFkdG5xa7o9iKc6BV+rr+GGRZ6Qcve9bbaUOw/KIMI/N87HUZwUr3s7khBsmLG/QuDVNBuE/LbgU/7KoRiRYJDM4SoUiSLGXCjHKFNMOc4BxxcuSJMUyaUcaMK3WIOn6qBBhkijyDjfZMkQh+6mRJUiTC05zER50cCQ5zkTo+E+vGKRKhwG4STJJmmCkGCZlYGu0qcO3SKEvpHmkbXUdksCEkLj1tvr6JsZICvI9me8k+bNvI5ry07VCvTBaWS2lXctm/mbXygbdzt95WOrzttMOL53A4djQdPind4XDcpbjY5HA4diodHp86+Ks5HI4toYOlHQ6H4y7GxSaHw7FT6eD45GSxO5SVXPfWkxC4iXfs3CuH8koUrKTKK++wr2eBMsyUSZJlihhZhrjAUXLGNfYAY4wyxgWOEifHeY5TIMpRLjTkGINjcxCE/Z+aFAfXeeBTiHzVDzwNs9Pw8mVYnIePn4PTMeAGDOyHl7MQSkhpHktCaD/k/gYO/gyiSK2Y537ZhwQir/UDrzWfdx44Jeuvj/ZzgnNkSVIiTNRo0PoHZ0SqYhOXF2iqx6aAUB/NbMGTWDe45cnMbaJgr9tljeUytOW/z0qSQlguPdtxTozQ8dKOTmEz5UCt56dXduY9R9fnztjuRLDxx5ug3G4bpikJNQ7XvRAJzHGJw/ios29/muJMBPZpmDOHGQZmILRvhupCkFC0SIAqdfwkyVJgN2XCBKmQJMtRLlAhyAjjlAk3XLHDlBtuinEmqZnWgY86dXxUCZInRpgyEYpMkCRMiQoBzvMQBaKEKTFIniliFImQX4rRlZiHtF++opXF7gKGzFffhUjR5mxdzMp3b7xeNM+zNGO7xUrz2znztpeerfTf0yrTt793u+3bSfhX22bTcbLYHcVW/Hetx0l2dVaSYXrbUX7kOvNip8Xso9m+MtfbmGI0cYUMKZLhLEMPpOkdnYLrisDgrFzTC34qC0Ei0SK5apwKQSIUmSJGlAJZkuQZZIgsYUqEKFMlQJkwBaLMEOVZjuOjzkUOUyVAgkkAYoiTdooMVePenyVJjnjD3f8CRygQJUuSAFXyxqX2yvQBMtMp2FWD3UhZC+YrT5nnKNLGigITiFluQxI7TTMmQbP9BEY/21L3dv36L7zWGLSSi/WOk8Z2eNtphxfP4XDsaDpc2uFwOO5SXGxyOBw7lQ6PT27kcptYrfdkpXXeEYL1jWS16/n3jqLZEbYIzbPcTkgve7YPUcdHmTBlwhSJkGQCgBFJANnI3RahSNjkXcqS5CRP88Lo/Xzh2GuYf0OXHPJ54O3IoN8C8CD0HYN4P3Qn4TuTMH0DPndV1vuB6atw5HFkdLICiVPA7wIHEeOdfiCO5FryIfktJ4GnEFOf48DHZbs9X71BjCkS5IhS4CwniTHFYCAPzxlDjTrSQ2dTV+42VcKwqRObV87Wrx2pnPbUPZ76rtHs0fT+FrV19fB7e9y8eby2vRdui3rflFJRpdSfKKVeUEo9r5T6BqXUgFLq00qpy+Z5t9lWKaV+VSk1ppR6Vin16s38yncjmzlqsFaeMO+IZeu5fXM5vPGpdXTfjgbYa6gIlDzLzAnkh2tZybE7uRRncjrO0nwYaibH5SgNH47y87vpH5whsKvCheoR6vg4xwmO8yxAI+9kmmGqBMiSJGTyUQJkGaJIhCIRqgSoEiRIlSxJKgQpEqFmTHrOm5GEEmEucZgoMw2jjTTDzC1FCFCht6so5fUjZhn7kNhzzXzNBfPVwXO9xJAAald4zY9uNg5bPiLT+r9wM62jziuNBqzGes3r7hhu5PKu4U78j91e/tXWH99rOGNzWXuVAEWa7SY7IpcDYoQemcFHnQpB8ksxCrNR5goRmINqWoyBuvrnqdd85K8liATmKBGiRJg5ImRIUTb5KgFKhE1O3xhJshznPKc5Q9i0QXzUGvl0pxhsjFoGqJIjQYUAVzjQMC+7xGHq+D0GQT4iFLnCASLRIj5/HeY8dVFA8lz20AzZlxHjwwg020JFU2+2brwjmNA0cbPx3da518xtbVrVFF7aqWh2jPqrw0cu3c2lw+G4PXy3+Vgf/xn4a631g8DXIV0UPwX8rdb6IPC35j3A25Buh4PAB4D/ejtfz+Fw3KXcbmzq4DlRDodjm+ng2LTD730dDseOZgukHUqpfuD1wPsBtNZVoKqU+nbgjWaz3wI+B/wk8O3Ab2utNfCUGfUc0lpP3NmSOhyOHUOHy84cDsddTIfHJzdyuU2sNjS/khxpPROXl5+tRZrmDt7lVnZgc1laCUIfIrWyE7G7gQHwQ8BIXk/yNGFKBKmQIsOTPMo4w/RSbEwOt7KwFBmCVKgS5CgX6DmzJPknz5jHJ5pFXrwM3UdgMQtPZGGxJpkkyzcg8QD4/cA5Wc9jQA/krgL/G5FkZJAclX3I5PJxZNzqEeABxDzoDfJVx75uH4npGwSoAhCkit/IVthlqmoPIo2Nmmoqgkg7nvfUj10Woyk1i3iW23r15uWzUprWHH5W+vrhVaWx9nk1I40tZWukHSNItsKPKKWeUUr9D6VUD5Dw3DBeR05ekFMn49n/Gs3EpI5bpDW3pZd20tjW5SvLuK08qjUHo82Phue9Xb+IXGMDMAeBXRUS5PB1SQzCXxeZVsHssgD0AqkKfn+dwUCe44HzpBnmAFcYJM9FDlMgSpxJhklznPPEyHOBoxzlAk/yKKNcAUQ+myFFHR8pMkQpNORkQEPCliVJgSghY+KTJEuSrBj5pJPU8fPS1VFIK+mJnkPKvYdmTrleJKwUaKpgGxeOlZ35pS4aeS69+eVqnte23tpdeMuXtUqaV/r9tl2avxJOFnvXsNH/sbWmhLTKIe32K/9ntv7QrXkWyy3b+mn+x9v/fXt9TdOITcxSLkRIkCNCkaGuLOW5MIwFYVTLYXbBUt1PuRBhaL+Y7kzOJohQpGZiim1bXWGUGFMN07EcCcqEuMIodXyNGFQgSokwg0yRJUkNH1mSHOdZ0owsi1k5EviokWa4kb+8SESMfZ7bS6UckNjzFDCDyPb3INONbBPSVkujnWQlsdM02zvWENHGem+c95ogLnoOePMFuJp52Fptpx1Fh8tid3jxHA7Hjuf25RmDSqmznve/rrX+dc97P/Bq4Ee11meUUv+ZpgQWAK21Vkrp2y6Jw+HoHHa4dMzhcNzDdHB82tabS6XUbwLfCkxqrY9tZ1kcDsctsDnSjimt9alV1l8Drmmtz5j3f4LcXOas3FUpNQTGe11yNKQ8+++jmbdhXbjY5HDc5XSw7MzFJ4fjLqeD4xNsvyz2o8A3b3MZGuxEec9aw/w3u2N9kPZj5lZyEDGvvXIp677odYntRty9+qBWpkCUAlEuIA6LFzjK05wiRp4qQcKUqRs5bJgyIUokyHGRwxydvUSBqLi5/hlwBHEaCyIy1CPQfVCWTd6Axx6Xkh58F4SScOZF6BuAl/PQ7QeuIo6x7zLFvooIJ0FUGHVgP5Lb8kXzDOIgW4coBc4MnKBEiCoBKgQoESZBTo5nc8rFEInaAh7zMj9ilWYleiVEH2I38No62rq19d8uf1PN/G42D9MH13SCXc0dbcvZAmmH1vo6kFFKHTaLHgcuIMLq95ll7wP+p3n9CeAfGdfYR4AbtzDf8qPsoNi0E1hPjt21ch+2x0r3vTIpaMYjaMqovPl4jSQ0DUMDWWr4KJXC4m644IdjFbmGCzTUa4FdFfJje6kQZIIkJznbkLha+VmVAHlinOE0ZznJUS5wllOc5gzPcIIqAQpEOcnTpMjwDBJLQFyz6/jJkCJPDIAIRfIMUiLMMzzMWU4RoMqxB85y7dKoSHijSI7eYflKLGDy35nnDM0wDYgT5ax59srKrCOjrbtFmlJ9r0s43CzNX9mhsZ2kcC0p2rbT2bLYj3IPx6f1xhdvfkPLytJ8L37Ps5W+Wkm53d667NttBmi6yHvilr/O2dIpkcIzCDUfDEJosADRmrQ3gPj+LLlcvBHDSoQZIU2UQsNtNkWGczyMjzpZktTxUcNHwExTKhJhkHzDtX+KQcKUiFCkjo8znKZKgAwpRhkjb3LtBqkaj+xxAHLVOFFmRLI7b6T2QaQ9ZKujiMQlP9KVO4NccwyYupn21MNe87qPZl5ebz23xnY/y/MdNy/Eu6JdtB6cLPbOobX+glJqeDvL4HA4boOt6337UeD3lFIBpMvg+5HOsT9SSv0A8BLw3WbbTyLJbsaQu//v3+iHudjkcNzldPDIgItPDsddTgfHJ9j+kcsdxWb0wG5mj0nr6FVrnktYnv+wudx2LXl73WwvkB2ZtD1HNn8cNEcH7CTsIrYnPEaeAFUOc8nkrzzLcc43JqqnGWaKGBWCJMmSZ5CKMfLxX4XRzDURLY4gHVv95iNGkPyTPVB+CvYeBC5DaBec+WO4fNn0Kfpl3fN5mH4CyueBc0iOyxOIgU/W85hDRkr3Az+IjG5OwtRoL+c5Th0fVYJ8kdcBNCbA40d652z19CCjB4OAsiMEo6ZeQkhPnCfnXuPhNSKB5uhBuxx0TVrzMa3VG7cTRg207/Ye6/oMrc9prU9prR/SWn+H1npGa53XWj+utT6otX6z1nrabKu11j+itT6gtT6utT671vEdTdYTw1YbtWqXh3X187Q1RnmNsCy2B3yWZg+4GU3YBwkmiTBHJFxsHKLLV5P8tHM0Rv2q1ySvXKEUJUCVIhF81AhRIkCFQ1zER50AVer4SDJBgd2MMN4wy/BR5ygXuMQhAPzUGSSPjzoZUo08cwe4QpEIIUoAlAg1RhAiFJkkQVf/vJRzCok7183XPI+MCuxBRl/z5gFmdMASQgKqHbX0xnVv3drXdoRz/Xnk1stOHC243di03vjkuHvwjnqubO7jzWFp/8/tCFprXPK2rbxKCxOfFgKMhscAyOXixPblZOvndjcPMxVk8tJ+lipBAMLhElUC5EhQx0eeGFmGqBIgSMW8DhKlwCQJLnCUEmFKhKgZk54IRRLkyBEnzyBVAqTIEDMjm5/hzcTIE6ZEjgQFomRIUSBKOFCWUVa/hoKSGGoNfF4wj4J57ELi1iCgQdQU1tDHtplynjrrY3mst/XdGrO8irq145V3lHolZZ+XnRCvOjk27fj7ZqXUB5Bcdezfv3+bS+NwOLxoBfUdH0XuDC42ORw7l3s5NoGLTw7HTqbT49OO/2rGNfLXAU6dOuXcIB2OnUSHB8jVcLHJ4djB3MOxCVx8cjh2NB0en5wsdpNZr0xxrSH5lXIytQ79rz20b6UJ3pxMVh7lNdAY8Ly2uS5pbGNNLtIMkyJDAZF05EgwRYy380kiFBlkihxx6vhIkCM6XeZrxw4wkwpROQUkkRyXN5AJ4mcRg58sTM9D7rJsU16QEn0JEek+fxXSl+HICRg4CKHHka6RJxBZxlXgYfPVDiI5LT+PSDk+j0jMeqBEmBBlAlSoEOAt/A1hysTJ8fyFh0We5kfkHt2I0YbPHEd7JcU2d6XNZwUiBfHOdvdKZlrlsP6b5K+tch2vRLbVlGCz2AnSEMfdRbtzsVX+6l2/vjhlTWis6ZU1y+imKTXvRiRVMbOPkaXPiaw9T4zqUoBUXwZ6zbVm81vuRqRbflmWDGcbhjsFdjNBkgK7+VO+q3GsQ1wUiRglrpJiyMj9c8S5wFEqBCkR5jjneZJHucKBxvEkm+VQI99ljCkK7KZIhApBLlYPUZiOslQJsvS1HinXG00Z52nmtVwwz1YeuxsTh7pppm61OXdt/dg402om5q1rK/Hz0yo5Wy3OtMt9uZ79HI5bZSMyfe/rlXLttntenVYzMW88sm0AaP7v+5Fr0w/MwoJqGAaOJNIAdMXm5dqekLuLrsQ8zED/nimCuypEKVAhSJgSFQK8hjP4qTckr37qBKgwxgFqJp/FZ3icAru5hPje1fHhM5L9DCmiFMiQokSIGaImRiVNdswaUQpUzbSmUjXExLMjMKZg0BMfxpD20B5Exh9FvNwBprztSWscaQ18WvOFthr62PZmt2eZSGZvJ66sN5+8Y/PZ1vtmpdTHkL/UQaXUNeBDWuvf2M4yORyO9aMV1Hy320e1tCll2UxcbHI47m42JzaBi08Oh2Oz6dS2k2W73WLfvZ2f73A4bg+tFHX/7YaR6qaUZTNxscnhuLvZnNgELj45HI7NplPbThYni90m1hqSb7e+Vd6xuiTJnrRWEuXNuWglCFZCFUJyzJcQiaeV0g4DYaCbOj6GSRtHsnBDrhGhyChX+BveSpgyRSJEmCNDijFGKQyEeNXYFer4CN5AXF3fgpiHJc1jXOSwAz2QiMHHn5J8lgdjUooHgSOPw/BBxBm2B7js2R/z3AO81Rx7HPg2RGL2t7Jf5a2QKE0yyBRzJudUgknClCgTFkXLMPAqoIJI1OqIwqPX1mk3TemGV/ZhZWbWFdbW4aJnWy+1tjkCva9Xy3G6mgxoI2yGNKTu893Ww7G53K7UeaVzYiXnV3uutnOz3lh5rLOglZd5HQStBK3PvLdy9AjEoEhEpO4LQTKzKVjwi/PiFCLjmkOkXAtAtEZ+KUZ9yccEScKUGs6xj/IkdXyUCDNHhEniTBEjwSRpRjjFWcKU8VFnmHEKRMkRZ5h0w4WxTIg6PgbJkyNBhhR+kz/T5p+r1/xUF4Kw4CdwYlbK9RwSf0BizxHzfNGWG8kl15jGYOWwVkJs68VK+Gqe9bBc0u91ZhRWzp28XJq/Uh7edu7m283txiYXn7aftf6jWv8rvVNK1nLXb/8ZXpm4/Q/3Tm8pI/Fp2rPcKzv35AhnH0NHx6kQIL00TA0flYUgS/keGDVu1jVYqvthqEa95qdYkOs1ygw1fNTxc4nDhCgTNu2IAlFGSJNkgkHyJJjkIc4TpmTc+mP4qHOWk0RMNoALHKVKkDJhEkySIEeBqHGgrXKG1xCgwnh1mBvXEvQ/eF1i5gt+cfdfQBpjBWQq0kGknRRE4muo1e3bZh7wSl69U7RsjPLGLC8i2Vfqwzf9XvY3a5dTeSfEnfXSybGpg6eTOhyOO41GUWdnBzmHw3Hv4WKTw+HYqXR6fHI3lw6H45bRqIahgMPhcOwUXGxyOBw7lU6PT04Wu0Fud8h9o/u3czdr58go662zlnUA9CYj98oOvI5dIUTCMUBTpjANTCJ2YCJpiJGnjo/DXCTFVSONLVMhQJYkSbJEKXCIi1QJ8Dq+SB0fGVLQA4PPzcmhFxAZRT/iGPsYcBAS/1RK9HIevnM/RHrgf+Th1aYki2ehnAW+IF+vfBWRwfqALPAu8zyPSGI/YZ4ziIssELwMvhqc4TRDZDnMRbIkiZEnSoF9p8dE/jpvqudB82wlacrWo5XDTtNM9FujKTP29tmEaHWJXb7ef5Mr7FrOsO1kQPZ5OyQhdfy39XBsLpvpgrcRN9B2yclX36f1t19kuYugdTWF5c6n0HQjLEMEfNSpEqRUDBm32ErzMPdp2FOBaI3eB6cI9JYACHWVGzLVKAWCVPBRZ4pBAlSYIcoBrgDivBilwBijRChSIMoESQJUeJLH8FEnR5woBaIUiBvJmXVgrBCkQoArSwfkWOEC1HxQg+rf9YkTbAGRl/kReewYIj8bRULImK2na+aNN15bmRk0pWe2Dr1JyNtJz4S1Yke7+NIah9rFpe2Uqd1ubHLxaWew0jm01n/lSv+Ta0spvTLz1nYTSPyJ0JwSE2M502ZdnomvjDC3FKFW85EvDRIJF01byC/Pu4CFAL2DBUrFENGBAunpYQbJUyVIgSg+6qTIUCRCghxDZPksb6JKAB91MqSYIUqMKYpEiFJoTFE6y6lGjBsmTd34w5YIUyTSeA5SpcBuwoEyXT0lblwflJgE8DWkrTYHpIBPI5LZCbN+WbPHtj9tvQ2YZSWa04S807Qstm3VSq3NsvYy/NaY45Xw70S5bCfHJndz6XA4bhkr7bidh8PhcGw2mxGb1hOflFL/Qin1NaXUc0qpjymldimlRpRSZ5RSY0qpP1RKBcy2QfN+zKwfvtP14HA4dh5b1Xbarvjkbi43yO2OCqxllrHSsnb73byPNYlpHSnz9r55l1nDjLJnmzLNXqU4duTgi7yOEmEqBDjOecqESDNMkCoxpghQIYyMCJQI8ySP4qNOkiyz8QCzRwLNnJSfREYdJ4FzUqLyR2CxLmOl/89VKFfEzwLgiB/SNyCUQEYRr0LoIPA8YvBzGfiYOVYeeDfwH5ADHERGIG+Ybz4JJzjX6N27xCHSDMt4QykqBegBBhEzjQVTiAKgpxGDI9tjtJflXXbenrcQy+t2+Yhl8/eU32otcwwvK+UYbLfuTuNuLu9d1pNHzsvN52atzWurDmjNyevNgbkIxqQCijAGQSrEyBMMVbn04nG4LmY5zAELii5fDeb8BHdVqF7vo1iIkCTbGA2YJE6cnOndH6dMmBQZSoTYT6YxWpk1DmJRCowzQpoRglQoiuMXORIUiXCFUbIkqRKgjo9znAAg3jXJeG6Y/GwMpvxiOBRFTHuiNHNxvoKUvYCoL2qI+QeLSB7iAcS5zDuyuzw/3PKRTK+pmNfwp/2ogPf38pqjtI5Ir2dEYLvyyW3FzaVSai/wY8AprfUxREvzvcg/0C9rrUcRG6YfMLv8ADBjlv+y2c6xBus5h1b6H2xnRLX6OXtz7temqsIa9XnjE8ioXImmosKakoWJv/oq8a5JIoE5qgsy0ogf4oeuyvWeBv7/7P1/cFtpet8Lfo4OBBBHBHVEoAEJEjRgkxK7Oa22elqZbnd7PDOeicfu2J7Y65+569iOt1ypm03lVm5V7Fz/cW9tJVvO3bvreNdbvpn17N1xrit24tjrcTLJjOdH2+PuHfmqp5Vhm2qqySYsSJCABkiIIAEBwuHZP573BQ4hgKQkioSo91OFwvkF4JwX5zx4cZ7v+33WLFp3woQOe9TrDjPjc1RxAciy1IlRLlXqOLSIkKDcMVecYY4YNSokuMQFcmSZZ5oao2TI08bu1O9tEgFQpj9iGVTrmH5BvRUldNiDBRWfRpBY9F+QeHRZHeZlJIvZVNt0ko6676PbKmh8pNss2P8M1grVbRuMX/0zdL1Zyt7MdHB6GGta7kXfaT/jk/lzaTAYHgrz59JgMAwje5G5ROn8LMsKIXcfbwLfB/yBWv8F4G+r6c+qedT6T1mWZe3W8RoMhseHPeo77Ut8Gm7RrsFgGGoO+qB0g8HweLIXscn3/RuWZf1PwDUk/fIV4C2g6vu+TmtdR2QuqOe8em3bsqzbyIC98iPdUYPBMFQc9PhkMpdDwqDahb3LB8mTBqPPn+BA6aBEdgyRWK2qhx6kPo7IOuR1L/IWccosMsXrfLLz6iouKUq4VMmT4TIvUMVlmvmOTHZsuSU1eV5CZBRPI0qJz8juNb4My+swewdePSMmPgtq+i4wPi578sb7iBFQGpHDvopcJkcRKetriBnPZeDPgC+rz7uM1Lp8H7gkkjaPEDYeTSK8xEWaRFi7nhAjDW3ocxyUMkVMiIghuttl1S5F1Va6bXVNJy3h05I+LQ/pfidSu+neezv9TFGC04MMnvZrsLpIOw7uoPQnnUES7H7mCXr7QQZT/c/Rrb7/u4HHGHItBSVWDSDWCXEFTuC1beLZAtGpFQj5cj23kbpyd6CycJLw8VXCIy1sPOo4qlalVH4rkKZCghnmWGSKFhFqxHib8xRJdu4YV3HxsJligSQl9eoSLivUcbDxiFLHwyZGrWMMVFHGH81GWCRmIURy1kZ+vqvAu0iYOaXWuepwq9Cts6tr7UI3vmgJftD8SD+CBhvBOpeb27/3++4njR20/aDv+nGOTSo+JSzLuhR4/FL32KxjyN3+CbrVln9gXw74CaTfbyQMlshuZzAm6/vJ9aH/UBe9LCjfB+k/yTaludPY6n1ibo3r357iUHyd0pun5RoPwehUmVZujFZ5jLRT6OSmasTIc5oWYeo4vMWLZMhTJNmp7VsmToG0MuRxmWGOpKrfnSFPmgItIsSpUCNGizALTBKlTooSLcIUSVIkRWND+il2yJMzWUtiXVSNXTV9HBFYLiB5sGB46cQb3Ua67id0hzXo9tRt1q9eqJb6D5buQ//fqH7DM4ZNGrtLfaeBsQn2Nz6Znp3BYHgojLTVYDAMI7sUm8q+718YsO7TwJLv+x8AWJb1h8htT9eyrJDKDpwCbqjtbyC3PK8rmdpR5FaCwWB4wtiF+LRVbIJ9jE8mc2kwGB4YY+hjMBiGkT1yi70GvGxZlqPGJn0KmAO+Afy42ubngD9W019U86j1X/d939/VAzcYDEPPHvWd9i0+mT+XQ8Qg+UY/qdL9S416k9T9aqCBWJdBVzolEpAaozRwOM9lHOrEqTDDHHEqnZpvRVKkKFInSpFUx5V14alTIgdbRpLyafXRXwLWIfr3IRqCjx4F4nBuBD6ShtW8GMp+uyQik1c/BW9cQS6Xi8DX1a5/HDiHuMeOy3sygjjF5oGXA/MZObo5ZqgRI8sS80zL/o20Zb/uIDrcW3SVGZ17N6foytDGEblenK6UOOi6G5SA9Dr43uvUGHS00/TKOwbVEdw/R0ZoYz/Uw/D4sHVtuJ25h25GXwOhwHNQKqUf0JWda/k+QA0SkF/OMMUi58cvU6vGRHa6Zsnb3VIPReu9MdbKbscluo1NiiKv8CYJysr9NcYMcx03WZcqp8kTpskSWeo4nTiXJ9NxhgVUrblRKiSoEaNMggInOp+/se4QibZEWgbdOrqo5xBSb1fL0VxkJMxIsN3qbK4Vp9srxmYpvpaeBWNRf0lskOBvzCCpfu+2g2T8O3M63312IzZtF59837+IGF98G5hF+lSfA34Z+MeWZS0gPxCfVy/5PBBXy/8x8CuP5OAPKNvJrfsNJxokk7wX7ba/uQ71ZqmmjkfB+tXa3TR4rUURt/0GjLZp4OBhU6vGSH7kmlz/p9py7Y9AZKTJoZPr0IbKRpyF1iR5MmRZYoIlwrTwsMmSI0mRGa6QJUeLCCE8XuIiHjZR6tRxKHCCNAU8QiwwySQL2LSpE6WOg0uVBk5Hpq/lse22TetOhMaa0+3zvIt0C7Ur7Aiy3xVkuJBLVyncqbkbYvPQKl0DXLehbtug7LVNd/jQYCfrfsMxeodr7LT2937WvtyLvtN+xicjizUYDA+BZcZNGgyGIWRvYpMvPdnef9DvAx/ts+0d4Cce+U4ZDIYh52DHJ5O5HCIGmSX03oEbdDf4XnqzAZpgtlKn5sbVs6O2vYHUU6sAIS7wFnky1BglSQkbjzJxpljAxuNtXujcBYuxRpYlLvJRbDza2MSpyEceQYYWt4HnAA+4AuN/Hw4ngQgsq7t57bbch48B2XNw8Wvq5lgcOI0ox0NIDcvLyN20jyMZynF1eGl5f54DjkLzBTHVSFMgT4YQHgAZ8iRPF+QOnW6aW8jdupR6fccs4wySPQnegRtT08E7bzqboE1JemuNdhmUnd6qpmW/O7P9eJR354ws9uAzyGgseI4Gz8EHz6Lra0bXPoPNMSxoYLO8aVlyvNTJIAJszB+RO+w5pGbtHbrZwBg8e3qWGDVVv/IYMWr8OR+jSAqAGjEuc57LnKdAmpukmWOGNWKE8IhRw6VKkzBpCpRIsoKrMhQhXKrEVC1OmzYRWjg0qK3GSD6dp3H9GGql7OddxDCjpubLdI1+ckg41jV3Kap20rU+g2Ztuq2Cy3rXw+a6c9123kmGZyvDsUHb7gd7JIs17CHbnU/9Mub9ztOdnZf9smergelQ4BGsxRs07zsM1RBxKoRp0roToVyMEx5pdjcZhcr1FBvrDoSgVo2RCefJkiNPhrrKesao4WHzNT5Ng6iqYxkjT4aLvMQKLmvEEKMxMRDLkWWCXCcueYQI01TPLVZwVbZT9jkdvkmjqlQhrnpkgSnVFNfpZi5Hka5QFVQ3im4/Mhijo0g/Umd7dRvp+EVgu63Ne6B/TfDeTHXwuff36f7rxz8aDnrfyfy5NBgMBoPBYDAYDAbDQ2P0bAaD4aEY9jtoBoPhycTEJoPBMKwc5PhkMpdDxFYSyN7tdlJ3zPd/la5kQ5vzgMgPtCFGr3mGrnOZRGQNceAwVVw+4b1Ongw5stSJEqNGG5sITdIUSFJkVEk3IrSokKBCnBQluYhOIwY7byBS1m8hBjslpC7lGeAKZH8eVgvQaHeFcrThpSR8+mm4cQWRjK2rxxKiujir3vuaes9nEWX5afm8v8pMYrchRo2PNf+cPBmiNMiTIUyTet0RyceU2q9nEBlIBZGphcZU2+Xo1tyL0TUa0W0Z5V4pcm89p83yj35GPtt/v12Jz1Yyn0cpTTvo0g7D1vVWg7GoX03EnZ97QVMM/dD147Shxhhd6ZmWodegDY6qKQnQujUG2bYYdB1Vmx0HRpvyESM+LlUK9TRVXFU3LqWiVZkMeWWO0WBUSWdnmKOOQ5wKeTLYeHiEqCLGQCcokFLDBVqEaRGhisscM536c3957RXCI82OXBYQOdkdurV1NSfpSnqDJS07MXysZ7qNmPz0k8tq04xgfctgm+vpe+mVkz1I/cp+2+2FXNbIYg82O/3N206uf+/y4HWhf8f173aUzdeMvsaC9WQbBPtah1LrtAjjEeJD6SUi0RatOxFo29Kv0OXp2xaTZ/8KO+TRItLpOxVJ4VDvSGSj1FnBJcsSLlXsria1c9Y2CXOJC8SoscAUVeUY5lIlEagsEaNGiwgtIiLv30jCWogT6YLIXjVlJIb2+u9cRoYOuYAVbD/dD9JtGA+0yTibjciCOS4tmd1sqrRdvAj+BvXrH29nShakn2HQo+Cg951M5tJgMDwwPtaeOL5alpVDes0e0PZ9/4JlWePA7yOjQnLAT/q+v6Ist38DeA3pcf+87/vffuQ7aTAYhoa9ik0Gg8Fwvxz0+GT+XBoMhodiD91iP+n7fjkw/yvA13zf/zXLsn5Fzf8y8INIHvwM8BLwW+rZYDA8QRgna4PBMKwc5PhkZLFDTG+tnl55Wj+5RzeVH8Ky/jmbXUuDddFqdGsQBSWbNbVdA5F73gULysS5bJ/HI9RxWWzgMMvztLE7NZUqJIhR423Ok6ZAhjy25xFt1lk6caJbizIOXAAuIQ6yt4ERWF4G3oLZO3DygqjDnv8UrC4BZ0Que/InkNsiFxAX1+eAH1Pv0VbvfU29dxORxp6BD399kdB7Ig2ZjTyPS5USSdIUqHIM16nKvvwF3fp4p1RzfYByRNNtpl3jltVzo2c66CSrl2m6spteSWu/+kzB734/6zL1Y5+lHZ8FvqCmvwD87cDy3/GFbwGuZVkn+rzecB8Mcqvune7n3NefUM9zb9046EqrdH1LvV5LZsfhCFRxqRHDoc6h+DqEPKiG5PpPtJXzqpxrYbfGxeJHSTlFasRIUaRCXNW9PEaeDE0iAMwwh43HipKVieQsQoyaih03yZIjRYlZzm06s12qnTqZdRw+evpNMuE8ixc/DG5Tcu3vIrLYKuIIW0GWLyJSs8t0Q/YodOPIDbpSfF1jV9Nbg69XDgtdl/Dt3Rlhs+xsJzFoO0fGvcDIYg8eD/r7t5Ma0ptp9zzr6eBQl2hgXss5x9nsiJpjI3cEgGrdBWBybIHGwjFoW9K/qALlEIR8yq04dsgjt5yluuFSIE2EJnUcsuSIUSNCixIpPEKq2q64vTo0eJFLRGh2ZK42HhXi1FVNy1pH6D/KIpMd1+vKRpwCaSq5NIz43Pz6hISHS0h8yiGxqgosIOsS6tlFXK99gPeQIKaHL7SRPtMqXWdd3U/qVwM8uLzrvL/d997bB96uzuVOzqNHHbeMLNZgMBgGoAPknnwUfMWyLB/4V77vfw5I+b5/U62/BaqOhNyTyAdee10tu4nBYHgi2MPYZDAYDPfFQY9P5s+lwWB4KHZh3EDCsqxLgfnPqT+PQb7H9/0blmUlgT+1LOvd4Erf9331x9NgMBiAXYlNBoPB8Eg4yPHJyGKHkEHuev2KwwbXb07j6wLA2oFRu3IFHU1jdJ0ZQ4j3SYyuTCEp2/qQoMIki1SId1wQ55kmQ55FpjouiTZtKsR5iYsAzDNNxY7jhUJMvHVTHFwvIaPhziES1jiQBr4Fd9uwfAVeTcLqO6LG+M7XoHgHrrwBN+4gjrAF4A/VrkYQGWxRLX8feBqRzb6GOEa+obYrSIH0FmFcVjpua1MscP07UyKjO4VYxLiqWWzVbD505WSoZ50sCxZP1rKOGJslyVE2y9FC90h1NL3fca875yD2WjYrd99CD/UAyr7vXwg8ev9Y4vv+DfVcAv4I+ChQ1HJX9VxSm99A/H41p9QywzYMOn96HWGDyx/EDVTW90rPgnFKS9CC8nN9fY2xSZ7mQbMVxqUKgBNrdN/2lC+SsztALgSjPq3rY6RSJaobLtUNFw+bExSYYY5p5kUmRhwPm5JyaiyRYpp5KsSZZp55zpKkhMsKMWrUcXiJiywyySVeBOgUJq8RI06ZxY1JKiQkLJQj4r74CV/27TgiM9My/BriXB1R81WgdpduzD5J1/E7KBnW00HHRe2ue3dzu/X9TkL3LBvkRt1Parj5vfaX3YhNB3lM1OPIg5xXva/ZXtoddDkFuW7uBqbbgWX6WhsLLNPXpep/PeXTJMKUs0ADh3cKz8tmt9QmLzflUxNVaisx1m7FiY9XiB+qEKNGlDoxalSIE6ZJnArTzAOQJ0MDhxYREpRZZIoC4oIdp0KFOJMs0iSMh02amyQp0sDhLPPkmCBPBvdQlTQFzj99kWiiCllfHGJTSGwCiUUfVodYRoYarKljqIDE7qArrI7rOu4EhwYFXfOjfZbr123PoCFEwfX9XrPf7FLfaWgxfy4NBsMDsxfjBizLOmJZVkxPA98PvAN8Efg5tdnPAX+spr8I/F1LeBm4HZDPGgyGJwAz5tJgMAwrB33Mpflzuc9slSnol6kMmir01h/bemC6NnnQA611lgD1rGulFdk80DoLwNucp0GULDkmWSRFiQtcIk+mc7c/TIsGDi5V/r/8KB42M8yRWb3J2KWW3Pm6jWQsryBmFetIjcsCvFeA1Msw/iwQgoU78OwIPH8GzpyX3MVXkXUkkfqVI0i+Ko5kK19Qn3FJLZ9V23wGSIP/KoRpMsMcE+QI08KhTpMw4VOrMmh9BDH1Acla6lp0oNppXD0Oq/bS9S812kAjaKah64zqjHLwu+nSr2YgDDZw6qX3dXuRydyDAJkC/sKyrP8C/CXwH33f/8/ArwF/07Ks94BPq3mALyH56wXg/wX817t9zE8Kg1QS/aaDcWi7GpfyvkEFQIjN14zOYEYDy5TBGLDprrYLbrhKk7CoEu6EGXVrcs2+a8ltCJUMjSaqcp0D2UM5zh2aBWCaq9Rx+CqfpkwcR5lk2HidzEGZBGFa1IgRodXJFNSI4WF36sqluUmDKDHWiFInTJMKCZKHStTqMRhtKxMPYEGZeryjjqWs9jWr5nWisg0kdL09nTmpqY1LbK6zq9uUwIuX2WzsE4xDwe+k37LNv0c7zQQNg/mY+XN58On9rev323d/9Vn1NdRbpzqYydTX4jibzWuCBorSrwq7NRVPHHl52+ZQdl0Muq4DtyIQQkx+gBNP5zoqjDhlIrQoksLG4yrTpCiSJ4OHTR2HGDUmWWAFFxuvMz/HDFVcKsRJc5MoDUokyZOhjU2OCQAiNDtxrUyCRjUmhmg3gaeQftoFpN/210h/6C6y/20ke+lDV5mVopuRjNE1G9NtouPX4cA6rbLT7aiX7cxwbKc14oPrt+p77xUHOTYNd17VYDAMNXtRq8n3/feB7+qzvAJ8qs9yH/gHj3SnDAbDUHPQ68gZDIbHl4Men8yfS4PB8MDocQMGg8EwTJjYZDAYhpWDHp+MLHYfGSQd6zVR6B2w3Ju232zEEAos60Ub+WiJmZZJRekaZsQRmSd0DWnukuYmTSJ42NQYJUeWFVwaRBmlxlXOkqJIVNVdOss8bWzyZLg0dp7VC2H5iDYiV5tAZLIRxMwnDWeSsHoZ3piV3Th3VO3GMlCCV8/AP/wRuHGNjhx29UuIxPYaIoS8jchjjyKS1qfVe0Tg1sRRrHVo4FAgzZu8QhWXNjaXeYH4eEXkaOfpGmzo6oi+bj8tQ9PtpQ16goPVg+0NXSlb9/vZLKNVH7HFuTBovab/ObE3A9cPsrTjSWcncqOtDBMG1XAV+kmeQnRroulttDnNOBKb6nRlVA1ow9pGjBAeAOGRFl7bhuO+KEeziDmXC40rxwiPtKjVY+Q2slRxWWCKAieo4/AKbxKhxSg1HHX9togQpsU08zjUucAlmoRpElHDAZo41MmyRJgWLcJEaXTMNiK0SCE1NdfKLociTZGcjSAy2DuI7CxE19DHQ+LPCCLuBjHNsHQb6XrEun1qdGO5lvPpoQ9B87ZgO/fjXkOf3u+8VyLb+zu2E/n+XmFksQef3rgSPCcHSfS3Pze1RDMohdW/5/p3f5XNMWyMruxzWb12jNY7Y9RxOpJVqiFSqZKs1tJYt82hk+uEDnt42Ni0sfHIk6GKi02bGjE+ykVyZElSokW4E3N0fd4KceJUuEkagEkWqRHjy3w/Nm2aRFhTlcpbhAGp3dsiTGE13T2UyyGxxGsjdcTzyJChHNJFPKHWpdQxgIpNwbrEy+qh61zq2KSlsLpNg8Y9Qfnxzv543a8sGvoZYG5et1cc5Nh0cP82GwyGR85Br9VkMBgeT0xsMhgMw8pBj0/mz6XBYHhgDnqANBgMjycmNhkMhmHloMcnI4vdR3qdPXsJLg9KPvpL1fq7/G0m2jPdK83UkoSg81kFONyRXLhUidDih/kTAJKUeJ1PcoICdRwcGsRYI8YaDg1xjPXmqNhxUUMcAZbUx0QQB7KKWj4qDrEXAW5Duw3/9g4UK/B6Qb3mDTj5I8AVuHsFxn4UcZwFeBmR2N5BJLGXEbfYDHAJjv/ebWhCjBoeNueYZZp5WkSUC+6CSNH+M6LkuCL7xIhunwaiCxG5S9cpthhoyxib68/p9tTzATlfh1Bf6XM/ecZOXO/22qWxrUQ8D/owPD4EY9Z29VZ7t+nvYKxrWkLXgVHLOmvqeTWwTLsMaklVDMpQXxPZWWsjTL0WJTOWl811tdM7yLV8DGJOjbRToL7mdGSsVY6RZUlJ0ESOFqNGTtm2VnGZV06NZeKqvu8kVVwu8wJ1HCoksPFIU1B7HyNOhQLpznk+mqiy0YxIvd/rat/W1PN14G0kLtYQ6WyIrjzWb4C/ikjNYnRlsMme9tPxW8cYPb8a2E63fe/95ft3Z7wfyeHjFptMfHp86OdoHHTX7912a7RDdTAe6d9vjZbBahfUVeRaDErQVyErZ5KjXKfjz93g5rcn5NI77sMUUJXrsHVrjNpqjMXVKVqEaSg57TRXsfE6Y/Rs2sSpsMgUJXX9N3BoKqnrWeYpcEJJbD3S3KRFBJs2URqkKHGCAh52V+I/VqWxEYWFkMjzb6nHJXWIa0gsatINLVUkvFiooUPQ7UcG+5gpNrvmB9tV1wEPtm2wTvtmthryM2gY0aCYtN+O1gc5Npk/lwaDwWAwGAwGg8FgeGjMn8shYCcDiHvrWg5+Te/dHp05C9aHC9xV69x1681kBmoWWZCiSJgWAE3CzDFDihI27U69yzhlbDwaRPGwO7WdxpZa2Hg0n0YGhkeQrOL/qqbPI9nHNnzkHPwU0KjAG+vww8AN4CMjss3ybaQm3AQcPq0O72XEYwck27iO1MD0kLtsRxCjnwqsToSJNuvUiJGmwDzTVHGp4jLbOifZg4RqlqeA30Pu2J0AQuOBdtIZFH3HTWdZoDuoXz/r70G362Z8/1fvqWUK92YpB5n29J4PezkgXTuePczDMDzcz7nTa+LSa0S2M4I1zYIGGkGibM5eBuvP1eAuZMbyhGkyeqhGJNoiv5qB65ZkBo4jSoYV4A7cnJP6buGRZie76CF132za6Pq8MWq4VKniApItuMhLFEhTIsUki8So8QpvUiFOlhwV4tSIUWMUmzZVXFIUCSnTjLVqjPBoXdWtRDIEZeA9JIMRA+VL1D3M62rfO7FHG2O0kei4HGiPu3QN2WBz3cug2c/OMpSaQbFGL+s3vdX77AW7EZtMfHp8GKTq6q0dvfMYpc1mQmzO9te41zRrDMnOBU1/1DUW8oix1jEPrOTS4PqipshZkv0bgY3iEal3uebgjNZpY3dMFFuEO7FIm4VJ/coCJ5RSoo1NhBY2bWZ5nk/yeqcGb4oicco0cGgRVv2zBllytNRnVJbjVG4lJC5VkbhZVoejE45r6jA9tc1huvEKVDvoGryaKCJP0zHnLhLogqquYB81aOrT238aXMN7q/rLgxhUo3cvOOh9py33zrKs7/N9/+uWZf1Yv/W+7//ho9ktg8HwOLCf4wZMfDIYDIMwsclgMAwrB33M5XZ/fT8OfB1JIPXiAw8VIC3L+gHgN5D7yr/t+/6vPcz7GQyGvWcfA6SJTwaDYSAmNhkMhmHlIP+53FIW66vcsu/7v9Dn8fce5oMty7KB/yfwg8AM8DOWZc08zHs+jmxXiyc4vV0Kf3P9OG3WoAemQ9eIRtdrDA681nWbtMRDrz8MvtRCmvHmqBCnQqIjFWvgUCZBjDVKpMiTIUqDHFlqxMiQhwi4XpWINt75EeBV9VhCzCrUNXZjVn51f3td9uZ3gW8DY+Nw5RqEQohEtaRecwVRXKQRiW0SkWkcAV5DjDPW1fSPwFihRSPikCHPG7zSkcC1CFNbiYnpR0jtUxWR3IYQc4023FtfTptraLQcRMs+QoFtoWuuca/MQ0/3m99Kcrif9eR8rH0blG7i06NlJ7Gm10CjnwlZf3ql+1qyqWNT0PhKF1TTsWlVPUeBcTgMLlVqSK3LxppDI3cMsm24ZYmU6xgSJ9w2h+Lr5JazeG3ZB2204VCnyjHmmWaW55lnGhuPKi4RmkRocY5ZZpjjHLM4qqZvmgJVXAqcIEyTGDWqHMOhgY1HmBY1YkSpk0wXaZXHugZDa+q5HHjEkZh1B4k7cVQNOegaYdxQ89FAWwQlZgTWawlt0OBHt7G08+ZayV22GorRr57lMNS21OxGbHrQ+GRi097Tr85h7zCT7UwUhRCbf7uD0v3ePpO+loL9J32tFYFlaEtNwjoOVY6RfDrPoSN1eUttFjjalLdZA6oRVj5wOUYVgDgV8mRwqONQp0K8I4lMU+Aq09i0eZ5ZwrSUZFIb+RR4iYuEaVEiRZgWSYp42FzmPDVi1HGYYQ6A6Ghd9sNFYlEisI9RRCqrhjAxgsQooHuZLNOtaam1tMG+pu4LBU3cgiY/QXlsMB51ZfzbyV97zeS2M0a8n5i1mxLa/ew77QU7Eu1alhUB/ndIOerOa3zf/z89xGd/FFjwff999Rm/B3wW1FluMBiGHj1uYD8x8clgMPRiYpPBYBhWhiE+PUp2emR/jFiivIVYpOwGJxF7F8114KVdem+DwbBHDIG0w8Qng8FwDyY2GQyGYWUI4tMjY6d/Lk/5vv8Dj3RPBmBZ1i8BvwRw+vTp/diFR8p2KfleKcd2rn1aOtt1IA06cmnpgZYn9MqoHLW+iPx+RdV0Cg+befssJyhQIN1xIBPBR5sWEYokeYHLVIhzjtmORGwlE+XYUoMbE3FOUhG31yXEITEJFIDz0LgMJ8/Ducsi9PpIXO1dGzgKz4bgO9fg+TwwoR7vIe83AvwJIo2dUIczq5YfQaQcz4B/ARaYokKcC7zFN/kYBdKEaZFJ5fnr3DMi9SirZrlOVwnb0C5nC3Rlrlqmp1149bOWoGk5h5bL9rqgCd3v7b+/R7KxVd3L/WZIBqXvS3x6UmPT5jizdWwaJJe9V16k5eJBybm+3tp0a8ouIwVzUdNRCEGRJClKzNVnGHVr1O02TqzBWjkh13IVyR1VQ0SyNeJjFSqr4rZo43Xqw3nYTDMPQJQ6WZaokKBOlApxiiQ7ErcFJgnhkWOCJKXOdVDHIU2BPBmKJImxRpISObKUCikYbRJONGm9o1xd28ALSFhJBfb1sjr8KiJTWwGJNRUkcC7TlZQ1kPgddADXctigC2OQbizaidyrV67few7cL486pj3JsQkOVny6n3NlqzqI+r22JjhsRfefDvdMa+lnsF6j/u3XslnlnFoNkT8tdXObhPE2omx4IRiBQyfX2Vh3ADg6dYvbtxKdvagjw3c8bFZwscmQpsBZ5smToY1NngwuVWLUqKnhOXWinOdtvsn3EqPGElliqv8hkn2XGDXlFBsmQ54CaZHEAo07SH3LNtKfWlPPo3TrWjbo1hPXw502xWZdxPcwnTjdqUrQCKzTMmId93Vbajntvb8Xg+JQkK36ycH198tuxqshiU+PjJ2WInnTsqxzu/zZN+iWuAYxZb/Ru5Hv+5/zff+C7/sXnnrqqV3eBYPB8LB46hbDgz52gX2JTyY2GQzDzcPGpl2IT6bvZDAY+jIEfadHxnalSGYRZ7MQ8AuWZb2PSDsswPd9//mH+Oz/DThjWdYEEhh/Gvg7D/F+BoNhj9GD0vcDE58MBsMgTGwyGAzDyn7Gp71gO1nsDz2qD/Z9v21Z1v8R+DKSXP9/+77/V4/q8x4HBhUl703tb+V6pqWw3eVBB0ZdjFxLzrRsShfmrqvtUuq1y0hlbyiSokWEPC4uVWw8LnGBOBXe4kUlg23RJMI084SVu2KBNC3CHHvrikhijyBOr+OIE2sbcUP8CkSPAuvw6lEo3QZegv/0JfjB84i8tQ3Pp4HnkJ/pZbpusGfUrl9S646qQziNKMiOAAWwbsPM0Tku2+e5zHm+xGu4VHFQ7m1NuorVp+gWC17XbZlSH1xTbVjpaWct3Qs6o93rEBtkkAtwUN6zlWvjfrLPg9JNfNpDes+9ftO9cqSgY9+9xa83O5Z2pebQjVPBdXeR629VPStZ2pq4VldxcZw6YVqs3Yqztu50nQ4TiDz2lE+zESYy1iQ9VqBJmIS6hmvEOq6zABnyXGWaOBVSlIhRo0iKFVxOk2eeaRwaeNjUiNEizAxXuMhH8bBJU6BGjBqjVDlGmCZn0/NcLUzjjlcptcdEfgYSY6pqOgtcRGLWYSTEjBBQlOkYoyV5ut0qagMtJQ7Gfk1wmMTgmNT7nfUuGySJfRD54qPCxKaDw07Ole1k/Hp6Z+hOgD5/gg7LwW2UtL1zHUaRvoG+9mLQgEkWlONrg7++NQG3IjAKG5UjEgOOR7jdTjB5ep7qhkv2UI4ycSI0qeKSokSFOC5VFpkiTJMSKVyqhGniEeo4+APM8nynTxPCwyNEngxZcoRp0iRCkzARWpRIYuNRW4mxMX8EpppABHJIv+op4F3grxGJbBPJm7+L9I90bG3H6Er1x5H7HkEXWN2WQXms7oPWAuuDvwOhbb+zfkMyBvWfh6n/9KQb+hSBv4/8w5gFPu/7fnvrl+wc3/e/BHxpt97PYDDsPfsozzDxyWAwDMTEJoPBMKwMu7T1YdhuzOUXgAtIcPxB4P/6yPfoALCbtXAGvXe3jk+oz52Y3t8wXWeo904byN2jVeS3UFNk88BrsGkTo0YDh3mmyZElQ54W4c6Acg8bhzqeGmheI4ZNmwx5Vn80LHe8QkgW8D3EQ28WuAachmIBrrwHN27D+BHgIvzgaXjvsmxz8T3ZbvkrdAebf4muKdAa8Iz6jCtqWYluNrIA1yaSeLbNN/gkLlV+ln9NmXhnwHunpF5EHfgdNa0zIJ2hLfq+jBNo714TkhBdg40Y994NFfrdTRuUqR429KD0fRo3YOLTHrITo4xgfbHtMwbB6yFoPKMzlfp60pkAXVcW9ayNbMR8R3P9WhbuWFC1wG1CAsKnViECh47U2fBCnexkhQQLTKq7+WHmmCFOhSw55pghTKtj+NMkzARLODQokurUx41RY5IFwrTIkcWhQR2HMnEy5ElRwqZNggqFehrKEUpfVAYrU0jcAok7Ht04GUV8MeJIHGro+p46a9trHuYgcUbX3tVtqNs5WP+y17QkOM0931/vsp1kLe/XJGi32Y3Y9BDxycSmIaBfPcPtf0t761xCNxMZNByDbv/pcGDbcboZPEdq7CJKiNxqlmS6KG+tjQNDgNskPFpn8do0lVyahdYkDg0x2qFOhGZHVZGmgEODKHVcqqS5SYwauqZumQRTLFDHIUaNKHXilPkY3yRGjZukidBkQsW4KHWKrSSxYzWpDdy2pX+WVfu3gMShEcRYLERXuKXrgt/VbaTjkTbxidFVyem+Um+sCdY51m2q2fp+zKA6l/dTe/dRxqCt2Oe+0yNnu8zljO/75wAsy/o88JePfpcMBsPjwj6PGzDxyWAw9MXEJoPBMKw86WMuO7c6lc7/Ee+OwWB43NjHcQMmPhkMhoHsRWyyLMsFfhtxA/CBvwdsWJb1p0j+J4eMjcSSIPUbwGuIycHP+77/7Ue+kwaDYejYx/g0D/w+3fj0k77vr+xmfNpOFvtdlmWtqkcNeF5PW5a1+iAf+CTwsBLGrSRHvdIO3//VbT6z0Wc+KJO6i0itgrXjtGHESbRUIc1N8mQ4yzwXuMQ5ZrnEi+TIAvAmr1AhTpwKb/IKITwKpInQoopLwT4hH5tUb38E+bl9GZGBXYPUxyEVgvERiJ6RekuNCpw5DXfXlc3QczD+nOze3a8APwGk4e6/QcpKryJ1Lk8D54A/o1MLc/VHwpy+WKJIkpe4iEOdEslOnadqy4WptvhiLCIGGyECNeagKzU7TKeO1T1mJG02yzx0u4d6lm2u49Tf9IRN88Mmj91naYeJT/tMUAp7b2za2qjqXqMZbfyg45M2fOiVWh1G4tW4vM4GhwYxapxlnlOnc/Jy14d3InAHWrkxwmdW2Vg8AtUIpW+LLLVFmCrHSFAhTYE0BQAiNMmS68hnHRrcJE1R1fyt4lLF5QQFPGxKpDq1LSvEsWkToUWLMDmyhPBYaE1Sr0U5lFrveqZdB47THS7gAjfpyuW0PN8HQnpIgzYMAwl4DSRoaXmelvDp+ruaYP3LaGBZUNLXlaH1yl97Jc5b1ZbbqZR/L+pc7kF8+g3gP/u+/wzwXcigjHPAx5Bv+nuBcyomrQP/NWKV8kvAbz2CQ39i6BdfeqWwg4zF9Py909pkDDbHKB2HtC40GlgerCV7F+noqOk1iNCSerhjRUqFFEefuUU0uyLmOW0YdWu01hzip4rEswXcsJgMZslRIkWBNOe5rAx8WlSIE8KjRowSSQqkcamSZYkpFlgiS5oCkywAsMhUp+5ukwhhWswzTZgmDRwy4TyZcF4dvi1n5xpi2jOCGCQGhwtFEQm/q5rK022kpfsNurW9UW2yGmjP3n6p3ka3Ya95Un/6xaKthmLsZs3Lh2UP+0794tOvAF/zff8M8DU1DyLhP8MuxKct/zb7vn9wc7YGg+Gh2c9CwCY+GQyGQexFbLIs6yjy5/HnAXzfbwEty7LeAz7h+/5Ny7JOAK/7vj9tWda/UtM+8C3LslzLsk74vn/zke6owWAYKvY5Pn0W+ITa7AvA68AvA58Ffmc34tN2mUuDwWAYCizLsi3LetuyrP+g5icsy7poWdaCZVm/b1lWWC2PqPkFtT67rztuMBgOKhPAB8D/omLTb1uWdQRIBTpkt+jmqk8iGhvNdbXMYDAYdpt9i0/mz+UQ0k9eNMj9qtehsX8yWjsx3u1ZH5ScaTcvfY7pmpjiIjvDHHEqVDlGkzBl4gDEqeBS5Ryz1HF4ixfJksOlSp0oyWaRTP06E/W/pn0aOdXXESfXp2H5NxCpxVFZNq5MFBvvwV1Pal8Wr8Ef3pa9vPLb6rXrcDiNyF6/Dod/BlHJfRlRpLSR5P+L6v0nYOxSC06LxC1FsSMxAalxFwp5UA6Ji9txurXnPNUcHamZRkuKHTWv21E7zel53dZBR0z9vfSX8ejl28l++rHX7md7KIv9R8i3qvkXwK/7vj+FCJd/US3/RWBFLf91tZ3hPhgky+6dHyQp2kpq1H2v3jqLd/tsrR0Hg9LzoHPsYfBgcXmSGjGubMzIJm4TRlow5ct8Dlq3xkTiFYL4+Ru0sQnT4gKXWGCKPBJ8GkTJk6FEkld4AxD5LEBdXeu6vlyFBDViONRZYJIsOeXu2CJGjQJpsuTEuTG8hhNrsHH7iDhItpH4clwd1ppa5gLTavoMcIIelZh2hB0LPIJSV42udRmsH6dle7qtu467vfS6L/ZKZHslhr3nxKD4tZfskiw2YVnWpcDjlwIfEQI+AvyW7/svIL9uvxLcB5UF8PfqmJ8k+kkg+52XetlWca1/Hyo4hGiMbhwaZ/NQlwYyRG0VsagP1HK8g6pRuUKLCOQi3M4dp/HOMcIj4ma9VnYBqFw+SX3NoaWkq1I7d44Z5pQD/yg1YsSpkCGPS5UXeQubNg51eX9EhlvHYZbnAYlfccrkmCBCszOva/w2cMjVJ+RQR1rydyOEuO/fQfpARSRetZFReneQX+M1Amf3uGqHk3Tlw8F+EYF2DMaeYHwPDo3o/T76088J+H6dq/eDRxybYB/j08Gt4GkwGB45e+V4ZlnWKeBvAf8c+Mdq4Pn3AX9HbfIF4H9Axgh8Vk0D/AHwm5ZlWSqIGgyGJ4BdjE1l3/cvDFh3Hbju+/5FNf8HSOetqOVkShZbUutvICXoNafo1rcyGAxPCLsUn7aKTbCP8clkLoeAQXdVerNY/V5zb33EX+15F51F0xm0YBazt7ZQRT2P073jtAzH5M4bQI1RSqTIk8EjhIdNUQ0oz5Cnre6oFEjzPLPMRp4ncg1WnKOE3gMuI1nKp5FM5WtAE1aXEJOfCRh7Borr8Cd3gAtyLzAOPHta5VHV3fzGNbXiCHIHbQR4FknqF+S9OnUum1B+aZT2EXC9KmXiRKkzyzmOKXuOyq2ENNVJ9Z5TdG++AZvrxmljpLuBR9AwQ9+Ruxt4Hnwvp9+dVf39B7MEOzHK6Lf+Ud25k3EDoYd6sP3dN4B/CfwTYEPNx4FqoDB5UL7RkXao9bfV9oYdsp05S69JxnYmPvfSey3oLFuQYJ3LoBFNjO5FKXUv23dtbDxGD9WorAa+6uuWmOM8g1QcTLQ7N8Ur9QQuVeaZVnXflqji0iRCG5tJFsXoC5c6DklKRGhSI4ZLFUDUGZSw8Uip9Qkq2Hh42LzIJXLKXKOxEaV1JwxrEJ+6IdmB55A6cmW6opEmqLcXM7KyOmQLJBrm6CpOtJpCm4tp0wxdW7e3LXvbfDP3e+e/d/vec2I/Dch2IzZt5+bo+/4tIG9Z1rRa9ClgDvgi8HNq2c8Bf6ymvwj8XUt4Gbj9JI+33K3fpe3iU7/tB5+bWlGhn7XplTbM0uZiocDzWGC7mHpWBmTHfVyqtIgQo0bylWscOroOa9CqxqTf8k6Io8fLRKdWCI80qa665MnQJEKZODViJCiTokSNUWzEMHGCJXJkSVChRqyjKItRY4Y5zvEdIqpW7yzPc4FLxKlQJkGCCvP1aVyqVDdcIiNNom4N7oTFQzShmmNETd9RhzaKqCumkP7WCJ1ant24XFJtElXPq2pdUL0VVFvoPpVuw53nvfoZIQ4yGxsmdqnvtPVn7GN8MplLg8HwUOzCoPQt775ZlvVDQMn3/bcsy/rEw36YwWB4Mtgjs7F/CPyuGvP9PvALyI37f2tZ1i8Cfw38pNr2S4jN/wKiH/yFvdhBg8EwfBzk+GT+XBoMhgdmj9xiXwV+xLKs15D7pGOIvbZrWVZIZSeD8g0t7bhuWVYIyZVXHvVOGgyG4WGvnKx9378M9Ls59qk+2/rAP3jU+2QwGIabgx6fjCx2CNiJ+UWvRGnnaX4tM6DnWRs7rNIdoK7lZDn1rCSyK3dpEiZFkSkWKROnRQSXFeJUCOEp6ViUFCWKpHiFNzvmF4Tg+M3bMpT4W8D3I9LW28AlyH0Lxr4f+dtQke2z5+CjyPozafiIug3yiZdh+SLQhOhPAEuIXONnERnsc+o9ziDCyNOIwc+fQeJ/XSN0DcYKLVpE+CbfS5IiZRIUSZJMF7slKteRgep31LQ6DtlA15bTshgtidX3aoLzvYY+MKh+01ZSnYetcznI0OBh0eMGHuax/b77/9T3/VO+72eBnwa+7vv+fwV8A/hxtVmvtENLPn5cbW/GWz4AO5U2DjLU2Fp6FiRE97rRBM0edI3Holp+F9FojYMN06mrxKjh0MAOeVKrrRzp1qltAy8AuRC4TeprDo5Tp0WYNAVOUCBKg5e4KOZeeFSI4xEiThmHOvOc7dSxnGOGY1RVrblRYtRoEqaNTZEUNh5FUuSY4AQFbDxOHCqQHc+JwcfCSTHy0SX1tARNdwF03biYWte5TKKBR3BoQ1C+p83YdIyCzfL84Httpr/BidDPNKN322GSn+1GbNqL8eRPMo+0zumA37ze5Zv3QV8vQUmsHtKif/vHAutSgdfp6zClXjMl21ctbDyahMktZwnTInTYk9uhVSXbj8Pt6ym8tk3rToTkWBEPmwhNMuQ7cv08GSK0mGGOKi5FUtSIdepceoRIq3gzy7nO8jgVUhQpksKhTowac8xw3nmbGDUyh/JEDzWIjdVgzZJDXUH2rYwMOnGR/lAV6RtdV8/3mI3poVW6LrE2NwpK8/V8sI+k1/ca+mxd77Lfb89WtS6Hhb3oO+0nJnNpMBgeip1o/x8Rvwz8nmVZ/wx4G/i8Wv554F9blrWA/ML99D7tn8Fg2Ef2MTYZDAbDlhzk+HRwj8xgMDxy9kra0fk8338deF1Nv49KcPdscwf4iT3bKYPBMHTsdWwyGAyGnXLQ45ORxe4hW6XoB0kW+zlh6emtXUH1fQMtIQu6lernGpvdYrWzrHb0OgmkwDrMVabJkaVGjBnmcKjj0CBPhlFqHffEIkle4iJFkp36b0tTJ2geVR/zGvDbdKWm5yH73wHXEMnFEfn44iycOgKry/D/KMD4BHznGvAejP88InX9E6QG3LPAbwL/Rr1vE5HcnlfvqZ1jX4X1M4f43zLPMcMcaQq0lNRkghzVZVekHg1EoptX++Oq92k3EElMSu1AQ01r10Yt39BtGXRGC0pruvS6cgbdOXvrzD2s1ONRuDfqALlHdS4NQ0SvvKxXarZzx76tZE/aRTYopwrKy1fBEzfrKq7UgHPK4nrotrsSrlvINRyBUbeGHfIoXUuTpkCBNBUSHZmZQ50iKcK0iNDkKtOEaeHQYJJFotRJU6COg41HjDXCqq4l0Kkjl6bQcY+tEevUoPvQK++KW+wo3bpxa4ii7DLi1OgGDnFNzdvQlb4GaxQH0bGotyao1t8GXcODMX97Bv0ODSu7EZtMfHq86K373c/9uLde62aCsSjo+h5crmtd675VDe1aLc85pJ+QA6KQaJMji0cIO+RRrbu07kS6l96obMZIi9atMRq5Yx1n2SYRFpkiqSpFpCkQpY5DXcldy53pHFkA5pghR5ZJFgC4xIudbbIsUUZcsj/BNwjhUcfpxL04FY4+c0v2S0vzjyMKXxAp7xFgUk3XkDrineY5TNcdNlgTVA+/0nGnRlf+GpTva0IDprdnJ47lwxC3DnrfyWQuDQbDQzHs2n+DwfBkYmKTwWAYVg5yfDJ/Lg0GwwOjazUZDAbDMGFik8FgGFYOenwystg9ZCtJYj/ZY6/ErF+6f1CB8y5BR8BGz3Qo8FgOLB9HpA1t4Dr4dzuOYwBVjjHJIi3CLDDJmirWXSGBoz6jQgIPmzoONWJEioiD6wji2vgl9XHvAv8KUZeW4D+9AbnLkDoH316HsTT8wzRwWu3hUUTm+o56/XvAJeBpxGlxGZHDvqO2y8v78jSwDkfyGzTUPoHITKaZp41Ncrwk8rMoIqH7bmARka75ui1j6kO0+2vQ0VI/gg5pQUnfvfTKd3Yi3Rk2R8aDLO0wDKZXrh1cPmhatu0ngQq6KWu5VK9jYNBNNuDmOCJFwz1sHOpU6gkat46JY2wckW+NIPLS2+A6VdZuxTlxOk+RFC/wNi3C1ImyyKRIa5XcrIrLJIvUiZJlSZwVyXdcGMM0cVnhMud5nlk8QoRp4WGTpEhMDRmw1bHUccSJ9p2TmyWvI+qQbCTelNXhaafYYrC9gjElxGZJfoxuXNLPvbKzw4HXbk8wDvX+DvW6Mw4TRhZ7sNmqL9TPsbqfFLL/cKTgkCLoxp67SL9Iy9L1MBfdx9Lrx5A+gupDXQ+RVQ78jVvHqNdk+3BilfCpVRiBaHZF3sJtMjpVplhMdlxdwzQ7e9bGVs78DjFqlEhRJo6HjUuVDNeU/DXXGfIzwxUAbDwqJIhRw6bNVaap4lLFJaVi1XzxLLdvJYieWhG5rh5SADJfRkLMDXXoWUQ+26vO77RRA5HEagdd3SfSfaT+w4V2QvC3p/d3aCtn62HhoPedDu7fZoPBsCcMe5AzGAxPJiY2GQyGYeUgxyeTuRwi7ieL1b/uZSjwPr13goJ3q/WdI33HbRm5sxQ0oNHbSh2nAmlsPOaYYZp5WoSJU+FV3uQaGaaZB+gMHNeDw/UdfECygUnEXGcCyWR+H9xtI4Y+bfjB05B9Wgx9Xn0Ziu/LS1//mvj2LF9DMpUTSKbyHDLAfAypb7muniNIVvOIetwGPw1LUyf43vxfUschTJMmYTxsjlGlsaHao4xkEq4gmQ9Xt0eObu0mkAxvjO7dSuhmCoJmAMFao7pd76U3M73TQeeD7sjuBQf97tuTxv0YIQy6U7x93V4dm4I15YK3vnV8gs3KAB2fguoA5FoFqhsuTcI4Tp1DR9ehbXUTohEkA/hMm0LxBMmn84RpUifKEhO4VElzk49ykQx5prnaqdMboYlDA4cGRZJUOYaD1Mh0aFAhQQbJggJMsUCcCgkq2HgsMEmKUicDEaYFiSbh51ZhGjHMGFGH00TijS6fZyMhpnNzXxtjQNcsI9nTyjE2x3fdxtDNwARNfnaeNej93eldFlz+oOxW7DKZy4NNP0VPMLPea5bXL6vZ/z2D8UnHKG1UMyjbFqzXqNE1MSVr6LLCqbMLbHghqEZo5cZovTsGtyA80oQ7YWjb2KE206mrNIlQJ8o0V2kQpUKcBBVirPEWLxKmRVtlLLXKosoxmkSYY4Y5ZojQwqFOngweNmkKeNiE1NmdIc8kC5RJUCBNKlXixOk8jdwx6QdNqUPTpj22eiSQuAXSr9P1eIGuwku3VZvN5pHQVaEE1V29SpXg70N/+pnJBZcPes0wZDQPet/JZC4NBsMD43OwB6UbDIbHExObDAbDsHLQ45P5c2kwGB6Cgz0o3WAwPK6Y2GQwGIaVgx2fjCx2iBg08Hznhi698oEQm2WuWqp5N7C9HpBeQWQcqnZcsE5a9DAf45vkyXCBSywwSZ4MAJe4wAxz5MmQooiNxx/w452B4mGaXGGG70ycpR0HLiL1KJ9FJKwlOHwGvn0FGIXcNZHCLgM3vqV24VNdsen4BcCD3J/B6p8BLyHS1Xfl9TwDfF29f0m9/ovAbbAuwcTNmyxkTuGyQgiPm6QpE2eeadptW5rsgmqGZ1UzdK7/LJvleqvInq4ijhttRAYTpSud0TK0oLwv+CwMqs3Vz7Sgd3m/82EYZB+Gx4/tzpvtJWU7f69u/NEy1160vEpLpoJxS8vQknBH7gA/e2gOjxDNVlg202YU70LHE+NOiI3cEWy8zg97jVHe5jw5slzmBYokyZOhqvTwRVIkKFMgjUODFEVe5BJ5Mkr+XyZDvhMT55mmSJIFpmgSZoJcx3ADoK6OtfWektLfolvn8rg6tCYilY0hBj+jav8tHV90LNdGbDrOQFeWT88y6Er0g4ZA/dES534xp5ft4tH9YGKXYaf06yv1Mz/cSe3Dfu/XNe7Rv+HBGBRT03cBB6gj/YAi3XhWh+N+R8LY2IhyyG53DXOA8HOrOOEGo8crcDNEY81hvngWD5sSKWrEsPGIq3q5EZqcoECFOCGkGOUSWc4xSxWXDNfIkO88iiTJkKeKS5k4TcIUSHeGK90krUx+RGx581oGRn0OfXgdPkDkrrfZ3L1sAAvAvGqeGiKj7bRTg665WEi1TTDuBONR8Fm3bfD3oH+M2qq/NKgP1SuJHYZ6lweVg/u32WAwPHL0uAGDwWAYJkxsMhgMw8pBj0/mz6XBYHgoDnKANBgMjy8mNhkMhmHlIMcnI4vdR3YqLwtu3y/F392+915BrxOgrsMURLsGavlHFLEqXKUjXbgDBU4Qp0wbm2muskSWGjFe4U1CeJxlnhVcWoRJUKaOQ5MwITw+2rxI1svJe0WA59RufA0xOmzDR35G5LDZc7I3qRCcVNN8CX4wDtln1S6nIZuEsaTazY8j7rHvI1LbjyNOr6/JtvxMoBkK8lQiRZQG55jtOKfdvpUQidpXEcnKJbpGlsd0e+n6lVqSNobocoPrtXtsUN7R77uh77qgtGMrx7thwMeijf1QD8PjRe85qaf7PW9/nupzv7cW7Cqb5eQg19IYIrGqEXSM/ev3p1kjRrXucvtWglRKaeLjwCQi7TqGyE9PtKnVRV7WIkKGPAkqZMkxxQJpblIkyTTz2Hi8xEW+wzlAJK1armbjder41nFUHbk4YZqE8IhRo4FDQcnOqio+eoSIjtZl9z2kDuczqil0ncsEXfdFF4mbMVS9XS3F126LN9S8ox467gTrymnny6B8drPj5aDvqldG1q++qZYdDpPMbDdik4lPw80gSeSg38p+ctnebbpoGWfQ7b2ffB/k+osDJ9Uji45Xh47UaRKmQoL4oQqZVJ5G2RWX1Sq0ro9RLCaxQ21Gz5Vp37WZSc1RqKfxsJnn7CaHUBuPGjGmmSdGjTViJJRkNkyTKsdIUyBNgSZhnmcWW8lnKyRYUzJbhwY1Yqou5hIpitRao5w4nSeaqLKx7ogb/wWkP5RQh+QiTv8u4iYbIdA/0jFJu8OOq4eWDQedrkN043wQHad0bNo83GuQO/V2ctfta8LvLQe972QylwaD4YHxD/igdIPB8HhiYpPBYBhWDnp8OrhHZjAY9oSDLO0wGAyPLyY2GQyGYeUgxycji91Hdlp8ervC5d312pmr15E06LTY6xKopVMhRA4bKE5ODVgGv0GLCCE8LvISc8wwQY4KceY5S4waNWJkyItrI3MdqVkbm0bEYexyi9BlREIxgji5flx9zGngNqQ+A8tX4GQcxifgD2fh5NOQq8DybXjvCvAekEGkrmfU/P+MyF9/ATiCyGNHEGnsnyGqjDPqcRqaRPCwqeJSI8YCU1RxOXq8LK/LAkcRGcgIIrWtQddF94p6nlJtVVcfoiVnWramZWdaUnNvwfKtpGhaZtYrQ9vJebJXHPRCwE8qOzmXeqWRvet2dj622ewaq+mVn+l5LQcdR669GozAdz/9Ogv1KVJOkQ+dXuBmIS0S2Chdp9gVRN61FqJ1J0yYFk0lU3WpUmMUG48GUTLkeZvzNAlzmfM4NHBZwaFBmBYLTJKkSJwyDRxahGkRJkkRhwZJZVVdxyFMkzAtnmeWOBUiNLFDHuFTq7KPbbVfI4gro24WTU0dwxpsLuCu43RQmr+qnoNyYt1+vS6Mm9n8fYUeyCV2uxi1l+xGbDLx6fGhX9+ol0G/pfeeryE2X0P6uoPNjvENNjvua/fmnFp+g411h7WOZNWl2nLhA0uu/zgw6rPRjHD7egrHqRM67PFO4XmyzhJJSqRULNES1iZhplikQBqXasdFNkyTaa52tqvjUCLFRV7CxiNNgWnmOUFBDQkIE6OGS5UEFWw8YuE1Oe/bNqxZcB0YaUtfqIH0r5qqKSLqEJ9C5PwWiFOulsaGVHtol13dXtrpu7e6wdZsFVt6JbH9zoV+58R+xqmD3ncymUuDwfDA+Fh4G8Md5AwGw5OHiU0Gg2FYOejxyWQuh4DtzC+Cd176GWdszhIEs2O9mUzo3jHSd5H0XTgHuUWuX1tC3HYAVju1ll7gMq/zCc4qs4sEFZpEWGSKq0yT5iZVXPJkqBHDoUEiv4Y/gdzY+xKSCQS5U/8Gkn1cBy7B+FHJVK7m4SPqEK4Aq22V/xuX7fgKcpf/CHAe+CNgFsk4ghj3hIDvR26evQsrE1HaEch4eYqkiFPGw+YCl7jAJUIhT+rMva7eO6WaJIsYb1hjdA17xtXKYNuN0zVMCtZt0nfq7r2XI9/bvaYaW5n39Bu43m+w+p7gQ7ttP9TDMHzcby2wQfXldkZvjIJuRkBfR8t0jTWC9R1DMAJvLb9IyilS3XD56z9/hqOJFXnLUV8yfu8ioW60SfyZG2THc5345FAnRo0QHh42YVqkKHGOWTLkCdPalKGsEyVFiQQV8mTIkMfGY4Y5GjjK8CdJizBxyjg0qOJ2TIHKrTiREZVOzapHFTH4+B4kC6AzmmW6Idol0AZaZbKMOP1U1EY6Y6Bje1C1ouc1/WOSINsNyhLsxLDpfs+DXc8i7EJsMvHp8aFfFnJQZnL7uqzB+ovB2pYafd3E1EPXlj2MXJNaxRQjmqjSJEK15VK6lsYNVwmfWaVVjcFTPoeO1OHdEPFsAW/DpnVrjBPpAg0cAHJkCdMCUHUuZbpAmlnOEadMmgJ5TuNQp0GUHFkAppknSQmHOnkyNAmToNKJbVHq2HgskaVIkghNJlmkVY0Rf+6GmI0thMToMIskJnUt3iiSvQzW5SUVaJdgO2ljMW10GKxtHCwm3tt37b7HVgaY/eqE7/R3a9844H0nk7k0GAwPjO9beG0TRgwGw3BhYpPBYBhWDnp8OrhHZjAYHjkSIIf7DprBYHjyMLHJYDAMKwc9PhlZ7JAzqG7coPpOQq+hD3QlZtrwQUui9KD1CptNf3RtIoAUHnanpttP8fukuUmcipLHtplkgbPMkydDhBaTLBCmSY0Y/hGwlhH56mn1lrcRKWwaMdppAzZcqcD4CIxNqKHgla5VTvacyGUZQeQYqPf4It06cUcRicYFta6pliXh2LsNQm/AW/aLxCl3DH2KpJhnWmQG7wGfAD5Aysc9hUhCbMAvInuVBBZUW9bR8heRxoZU2wXREuRBMrTuskHf83Y1UfdN3uGD17Yf6mEYbrY7t3rrG/aT8Q9+j97rQcegYG3GYN3Gu4HlWhYK7niVGDWadyKMXihz+3pKTHIARiH8idXOJ1TeOUmTMBGaxKgRo0aRFOdUPbgcWQqkWWSKKsfIkKdGjLaSzB5DPquOQ4IKYZp42MSoMckiYVpkyNMkQow1bNqcY5YpFiltJEmFS0QPNWhdH+tKX48jcWdBHXockcm6aqerBFR52iDjLl1TsTE1r48zFmjDw4HXBdtbS4/v/R76SfG3Mknp5UHMfXY9hu1CbDLx6fGh3/kTjEW95+O952dQnq/7Rf3qXLb7PIJ9Ll2PtwbEaVRjxCkzEc4RHq1TqSdolccg5EHOYmPxCKPfU6ZyPUXl8kkYlWuyjU2FOHUlx8+Sw8PGpUoVlzhlsuTIc1oZ86yQI8ski2TIk2WJJhEc6tRxcKkSwqNJhBox3uY8IbyOoU+KEicocHn1PHxg0bwTIXpqRST6x9VhJYAluiOoDiPrI4Ems6JI33GZrhw2Srcnp41+NMGhXL1DiEIMilGaQXXBt2IYDMcOet9pXzKXlmX9BPA/AM8CH/V9/9J+7IfBYHg4fN+ifXe4g9z9YuKTwfD4Y2KTwWAYVg5ifAqyX7LYd4AfA/7VPn2+wWDYFSw2vEcbRizLGgH+nK59wB/4vv/fW5Y1Afwekud5C/hZ3/dblmVFgN8BXkRS8j/l+37uPj7SxCeD4bHn0cemfcDEJoPhQHAg41OHfZHF+r5/xff9+f347GFkJ3KgXkesYP3De2kHlms5R4iuxEPP6/VBpzMtY9DSziiEYIY5qrjMM00dhxxZaoxSIkWNGDdJAxCnTJEUFRJEaJGmwMXx8yKD9RAJ7CwibU0Ct6H4Rbj7DuRKSlCSgf90RQlMRuClpyF7FK7MwsIdIA13lxC1xATwAuIOWwGuIfUzbyOysopadxv5axKBT37w/yNCizynyZJjhjmSFLn9reOyf3cQOe0dunK0mGqLjsT1pGqjuJp3VPuW2FxrLlhXTrd/UEYTxfd/tc93KAz6nodC1gHgA2374R7b0wS+z/f970LE1T9gWdbLwL8Aft33/SmkiuEvqu1/EVhRy39dbbfzQzLx6b7QcqR+btaarWLVZodAuPeeZ6/joI5Zd4EUvAf1ukOBNNPOPGtll3i2oBRVFoBIUAHaNvHnbnScGAHyZHCo8w0+yTzTzDBHhCYpiqQpUMVlghwRWqQoivMjLjZtsuRoKMnZJS5wlbMdh9mq0rRGaDHLOTxs4oekJp2HzdFnbkmMGYVwdlXVlENcGaNI7GkgcWsKcW60oBubx+i66Kbo1ruMIrq1uz1tG5zv1qK793sJbRlfgt/lTlyq91Oy/9CxacikZ09ybNpJ3VXY+nzrJ9nv0s8NVv9Wa7m+dogPyvOD0n3o9hOSQJT4qWLH4TUznhc5Yxkoh4h/4gYkYK3sikz2eJP4KamfC5CmQIwaK7iUSHbq577NeV7iL5WLf5siKSK0OEFBOVo7XOYFppknTQGHOhnyFEjjYZMnwyu8SY0YObJUcWmpmr/ZsRxnX/oOa2VX9jWLDA26ggw1+BhdOewdJGYdBo7pRtZtlaIbZ3S/SbfpWGBat3ew9nq/76R/Xczgb08/iaxme4fgPWZv+k77xsH922wwGB49vvXIg5zv+z6qhDzdfxc+8H3A31HLv4DIxX4L+KyaBvgD4Dcty7LU+xgMhieBPYhNBoPB8EAc8Pj0yDKXlmV91bKsd/o8Pnuf7/NLlmVdsizr0gcffPCodndo6b1DHKwnt9Wdmd76iUIwa9kILO81ebiL3BEvAlFo3yVHlmnmmWKBFmEAPEKUidMiQpISMWo4NMiQV3f2Paq4zHhzchOvgGQaz9Odfw1SH4fDPyqflj0NuffgpRA8nwSOwHvvw2Fl4PORODRm4fB5tdtvyDasI3fQPOD/ow7lNGLmY6tt8nJYf/XUJFHqpCiywCRf5jM4NOSunP4Lk0Xuyh1R8yuoOpcfoXsnDiRLGaxtqdfpLGWjJzMZvCsn7T3oblvv97zvNS374SPZoYd57ADLsmzLsi4jqeE/BRaBqu/7+iS/jqSTUc95ALX+NpLSCb7fQ8enJzE23U/WYKvacpvpV4dXZwO0qiKYddPbKYOaKGSdJcK0WGhNEj9VpLJwUpIMa0AVDqXWCZ9ahbZNfc0hRo3Capo0BWW+EyaFZAyWVF05lyrznAXAxiNNgSIpZWC2SAiPOWZYwaWOwwxz/DB/Qo1RsuTIskRCZSCmVV3gJEVi1KT+ZbghMWsEWu8pc59TSKx5BngOUUy46pCrSCwDuoY+43SNjRpIPNI1d/sZjej4080k3Ftr91fV872/L/dr0rOv7EZs2mF82k1M32lrdlqDt1flFVQB9X+djjm9JjKNPttBNz5pdKzSWcw2UKRWjTHPNFEaVDdcGmsO0edWCGdXqbxzUok3bA7ZbUbdGqOHasRYo1JPUCZOmCYODWW8UyZPhhQlFpkERBmRIU+cChUSxKngYZMhT54Ms5wjTYEaMTLkmWaeGeZYZIoo9U52VGc9HeosFCcZTVRp3RqTX9ZTwN9AMpjvIjEpqw5RG4/ppC6H6Rod6vbRWV3drkFzNm0sVmNzffB7M8mD+r29/eN+DE2fSbNHfaf94pFlLn3f//Quvc/ngM8BXLhwwWQeDIZho79a5X5IWJYVNKb4nLruO/i+7wHnLctygT9Cut8PzG7EJxObDIYh5+Fj055j+k4GwxPCYxifdoqRxRoMhv2m7Pv+hZ1s6Pt+1bKsbwDfDbiWZYVUdvIUUjwG9ZwBrluWpQvUVB7BfhsMBoPBYDAYAuyLoY9lWT9qWdZ1pIP4Hy3L+vJ+7Mew0ivjgP414wbJKTen/7WcrFdSps0x9LyWVEUD2+q6RIcJ0+JLvAbACi5VXCI0yZDHpUqNUa4yTYQmi0ySpCj13ZavMlZqQQhWvldJI5YQz7sKImFVktaX0lC8JvUsG23gaVgtQUrJXZ+Nw902RJ9Vu9iE78wiJj6nEZltG/jfI9LbdbVMl1WaheZr4GEz7V2lSIoEFWaYw8Pm7Ee+I9ueoquO0c1xApExsEzXSENL0fSA/7tsNh2RQeqW9c/ZLKXp9z0xULazkxqn+4ZP9/R60Mc2WJb1lMpYYllWFPibiL3AN4AfV5v9HPDHavqLah61/uv3M97SxKft2bnkdScET4SgVEpLqYLTWtYZ2CYFVeUmMRHOUavGYKQNT6mv3IWN+SOER1qMHq9ghzzyyxniYxVmOUcVF09dnw2cTl3LGjFcqlSIU8WlSZgZ5pSJ2ShFUpznbSbI4bJCk7Ay6wnRICpSe6COQxsbhzoRWjSVcYaNR/j4quzriXZXcnYYiZFaol9Vjzv92u0G90rPYnTjUVCiHzTzCRqRBM00dlZbWTN0UrMguxGbhiyz8CTHpgc9/wZtc+/yXmOxaM+y4DUT7EPVAtvrmtcN9Qyt3BgpihQ4gXuoSvx4Ga9t07oTAbcNbpNDR+qEDnvYoTaVekKk9c4SE+Q4TR4PmyZhwrRwqDPJgpLoe8Qp0yJMhThFktSIMc08EZpKil9igSlsPGw8ysSJUselyhSLFJQZY4QWYfWYSi3iOHUYbXP007fk8HJILd6EOsxTyFAi7RX2lG5HHW+iyAiVVTbHqKBBm36Odtrr3vbuxqnePnHwu+yttzzoN2rf+0yaPeg77Sf7krn0ff+PEGmbwWB4nNEB8tFyAviCZVk2ckPs3/q+/x8sy5oDfs+yrH8GvA18Xm3/eeBfW5a1gNwB+On7+TATnwyGA8DexKY9xcQmg+GAcADjUxAjizUYDA+Oz70eRbv9Eb7/HaTgTO/y94GP9ll+B/iJR7tXBoNhqNmD2GQwGAwPxAGPT/sii31c2at0erBuXK8ctl9qf7AcIHjvoLfeopaa3Q0siyISBi1F0PUaV7HxeIU3SVPgeWZpEiZKgzViVIjjUsXG4yIvcY5ZrjLNLM9zefxZbp04CiE49k4D3kMcWDOIf+erav4aMAGHQ/CHs3AyCV/9Fly5A4dtuFGBYkVcY3OXgJvAc/D8x+V1nAHeV+/3Z4gwUru9punUY4oUwKXKRfujuKwQo0aRJOd5G4e6uDe+ox6jqplG1OtZRrS8y4jd7WFE9qElxdrVUqMdGbWMJvidtPucT6G+8uagDHpoJB0aH3HofZiH4bFhkEQyKEu6PzdjHZeCdXf19aLdF2N0tVdBB9koUIIYJCiTZYkmEdzxKuHROkdPFcXpsA2MwtqlBPValNadMK1qjFprlBMUcKniUCdMSzkthohR40UukSdDnApVXBwazHKOKHU8QqQpEMKjjoNDg5Byx9b7EVaytDhlElTIkgMgod6vRZjoaJ2oW4O2DdPAp5GalhnZZ+JI3j6LODJ2wrhDV7evpWa9wxra3Csn7o1RervBt9B34sg5lOxGbNphfFJu1m9blvUf1PyEZVkXLctasCzr9y3LCqvlETW/oNZnd+twDV36ORvff61oPeQFNl9XWrp/N7BNsK+lh/6rODYCUeoSHzZcVj5wZfWdsFz3axE21h3ad21qKzG8tt2R16/gUiRFlhwODS5znih1SqS4wCXVh1mjjU2MGlMsEqHJ27ygBi9V8bA7Ttg1YpRIUSKFh93p10k/KEWCcsfp36VK8nSB2+VjIoU9hdTnHEFqWl5Guj+6nCW6GfRMTbWFng/WudTrx1Q79vafeocR3ZsH204C2zu8KFhpYSjYo77TfsUm8+fSYDA8HAd43IDBYHiM2bsxl/8IGQeu+RfAr/u+P4UUl/lFtfwXgRW1/NfVdgaD4UnkAMcm8+fSYDA8OAd8ULrBYHhM2SNDH8uyTgF/C/htNW8B3wf8gdrkC8DfVtOfVfOo9Z9S2xsMhieJvTFD3LfYZP5c3ge7lU7faeHf3s8NrutXTLYfUhBby1+D0igQeSd0i3FrGWdQkrYMoTGquMwxQ5EUX+XTvMKbRGgSp0KYFjkmqOPwCm/yJq8wySJZpLB5A4drTyVFoppHFA6XgAhyP6UEb3xJPip2RJStv18SdVgK+P11OJmG1GlgBLLPImqKpnq/EvAtpODE/1kd0mm13kNcY68gRcmBGDUitPAI0SRCihI3SdMk0lW8fAKRfEDApVFbyQYlGsErvEHXOU7LjGGzJHkr2gOlHoPkHPvuHGv+XBoYfO5tH6N6pWcaff00kDilJbFjdOPZmLy2CvmNjHJxjVEuxgmPtLi9cFxeotwN499zg43cEdp3baKJKrHwGhFazDFDjBo2bSrEaREG4HU+yQxzxCmTpkCRJHHKXOAtPES6FqNGFZciyc7QgBwT2LSJ0OpIZm088mQ67tppCth4JMIVwiNNWLO6xXLK6rmNhOA1xEnWDrZbTB2/bqte2mx2roaulO9wYJteSd9g+kmee3+b+r1mp+x6/No7t9h/CfwTYEPNx4GqKpEEIs7WvyYnkV8t1PrbanvDLjBIAqvX9Uol76X3WtBf4d2edXpYUYju9YRalmKTdPYO5JjApQpAJNoiOlqH6xYsWHAHDh2pd9YBlFZTnThUxaXACRaZ7PS1AAqk8QhRUadPmBYxamhn6iYRqriEaXb2LkOeOBVxqqZFmCZpNTRggiXyZJhigXw903nP70n/uUhhjyPyfJBYpCtNn1CHe0Q3l47dKTbHdi2B1fO6HfW87nMGna21U+zWF2OwPzzoN6dfH6rfubBn/ai96Tv9S/YpNhlDH4PB8OAccMczg8HwmLJ7sSlhWdalwPznfN//HIBlWT8ElHzff8uyrE/syqcZDIaDz+7Ep6GNTSZzuQ9sdTe/n4lLv3U7q9nTxrL+RzWt7wYF7xCN07097iB3llLI4Gp9903uLMU6ld9qfIYv8+/5cYpqUHiNUVqEyZDnG3yCj/FNEpR5hTepEyVGjTBNbk0clbtbR5DM4hvAs0AFXn0NvnoFDn8Kxo7Ajx2FsZAMB/+pI0ASrlxTuxyBu0tw92t07638jHr+WfXeE0ityztIRjOltq3AApM0CVMnSo1R8mSYY4YrhRmpjfddSKazgtRuSqj36WRNtElPEJVF2WSSpNs2OL/5db133PrVM9VsNxh9Xwaqm8zlE8dOs5QPdj4G72zrrGawDtoqcq0FTLTuQPhQS9WRbBI7VmOt7EoNyfO+ZP6e8qm8cxKisNGMkBnLE6FJU2UHFpgiQYUXuUSUOlmWSFKkQoIWEcK0iNBighzznGWSBdIUaBLp1K/UvMDbHZOgOGVi1KgRY5JFbDzSFIhTIUaNJhFi4TVGp8qMfqIMo77EmhCSKVhDsgQnERWGrn1Jjc1ZSd1evVnMVTbHn2jPNttfhEEjjN7foK0yRVstf9htd/aG7Fbmsuz7/oXA43OBT3kV+BHLsnLA7yGSs98AXMuy9M37U3RdXm4gdk2o9Ufp5qwND8lW/abe5f3pvRaCRmNBc75gfUudvdQnzKp6rgENRp8Rs7EiKSrXUwDcvpUQg64skGiyse6wUTmCM1onPlYhO5ZT7+zxIpcCMajJDHO4VIlTpkCaGDUSVHCoUyHOBDmy5KgxSowaFRKdvpuY+LSZZEHZ/YgizcbjGhkmWaSOwwXnEg51GhtRLtdfIHn2mhxqLtAkNUQddlPNV3Wb6bYo0u0X1ZC449CtAxpUqugssFbY6Yxl8DvYnAvr1x8eZOLTm7XeKm7tWT9qd/pOQxubzJ9Lg8HwcJg/lwaDYRjZnT+XA/F9/5/6vn/K9/0sUk/3677v/1fAN4AfV5v9HPDHavqLah61/uu+7/sPeZQGg+Fx5ADHJiOLNRgMD84Br9VkMBgeU/Y3Nv0y8HuWZf0z4G3g82r554F/bVnWAjKY+Kf3af8MBsN+sn/xaU9ik8lcPkZsNSC932BmmW4Etgr1zAfNNHT2ezWwPgWMQ3uVV3iTH17+Ch423+ATnOUqLcJkyZEhzySLLDLJBd4iT4Yoda4wwxSLlIkTocXx37stg8AjiJziVcSMB2AZzgFv/CEsr0NtHcafhVdfhegZuHgZnn0WSdQ34fAFeXSUvV9X7/u2OpSCmn8ZkZmNIUOVj8C0d5U0N1kjRoQW55glTItT6TxctmCerrLjOiJFS+g2uUhXIhOsF6qlMFrGFxzkr7fvT/B7HTTAvFcyG1y31fs+ckydy8eO+zFf2SrWbLfswc+/oCRKo2Vmup5jwJTsOHjYrOASp0JtJcaJ03lat8agbcn1+64lphQNoG1ztTBNHQcQyX+aAm9zngYOx6hSIkWKEp5y0cmRJUuOolpe5RggZhuaOo4y30iToqQksw3SFIjQxKHOHDPUcbBp41JVBj8ruE4VO9SGO5bEyCxS5zKLqMh0mT1XNUFHQqZjTY1uwTkdg4JmI43Am2wvgw0ySFLWb9uhYg/rXAL4vv+67/s/pKbf933/o77vT/m+/xO+7zfV8jtqfkqtf39XjtWwZVzbXrbdL88SXNZbf1FPB3/bg9dkFOmchKjXoh1p6tHjZWJjNU6dzokEfgVYi8Adi0PxdSoLJ2lsRCltJGkSIUqdBg4uVWLUOnUrAfKcxmWFMC2WyOJQZ1TVq3Sod6T5n+HLRKlTI0aTMDHWWCOGQ50Jcth4ONT5JK/jqO1cqkRpcOJQgbRToNkKS/w8j/TBdJnhCN36u5t8C3XfSBuxBesZB/tGwVh/uGcdbI5Xm+NWbzzq13/q7TttZ/qzp+xh32k/YpPJXBoMhgfHGPoYDIZhxMQmg8EwrBzw+GT+XBoMhgfngAdIg8HwmGJik8FgGFYOeHwystghJ+h+1s9Jtl8NTCGkprUUVjvE9jqa9tSMAzr1LVno7Mf/ws/z+vh3K6lFAw+bF3mLS7zIIlNc5jxZcnyZz9AizCJTXCOD7XlUOUZstQEfR2pOgsgpjshksQR3r0DqHDwbgmgI3mjDlVn4T2/Ia86EEElGHqhA8WvyzBH13Fa7fFYdhge8C/w7RCJ7FLggy+ftsx3ZCMA8Z/GwaWxEReJxB5HBJhClmas+1wI4Q1diNq4ORtcLDTrJBiXHupbcvfUut5I693M5ux9Hzj2Rfhi32MeO+3H23K6OoWaQHOn+pLFaUtZms+QTutdSG4lV43QcZG9BVEm8CqSJHatRWY6D2+y4RUe/ZwXeAZ7yiSaqxI+XCdMkRUnVvZXpMnHltBijTpQwLSURq3fkaB42HnbHBfYs85xjFps208xTx9lU0zJHliQlqri8xEUiNElQoUUYlxUaSp5bW4nJ4Z1CVK43kRg0gsSgKTXdUY7pmK2HMtwNLNcxScvOgq7VvdK0zWwlj97XunD3y97VuTTskN06VwbJ9fvVYg2u18/3xrV+X3RQrqnRcnO9PiiNDUrQQdxShThlWoRprDmEaXH9/UmpbdtEht6MtnFi8rqVD9yO+3UD2d5WGsgC6U5smmaekFo+zVWKpDimaugWSBNRdS+LJMmTwaHBNFdpBPohK7jKzb+l4lG14+4foalqgYdxw1UYbUoN3jN0+0dnkL5WtrftDgNJukMZxtWyIhKbdB9Jt6meD7ZjqM/jXvrVfO+VwfbrK+87B7zvZDKXBoPh4RjyIGcwGJ5QTGwyGAzDygGOTyZzOcTou3BbGSr0vwvTO0i6N1vZb3B60JwGpLBaUs2P8VP8PlEazHKOLEvUiFEiiUeI81wmQ54aMaaZ50UukabA3+JL5G25gz8/Nsm7Jz4kGcBl5I7dCHABxo/C4QkgAsU2rLZlb55Nww/GofieLOMy3HgfXi9B6gxS1/Jl5O5ZBLlhX0QypKgmSKvDPINkOcfhb3zwDmXiuFSp4xDCI7eRpb7myLZZtW85pHZTFcla+gDv0R24r2uF6g/T7ddbw6k3cyBsdSetN0t9/1kgw5PAXp0Tvedfv+kH3xd9fehp6F5Hepm+pvS1t4q4gR2GhJjyLJGVrGI7RGY8D3fCcu3GoHHpmNxpv24RHmkyeqjGMZVVXFEmPDViVDlGgTTzTNPAIYPUd5tS9d9ATHxSFFkii02bKsfIke2YdpznbcI0AUhRxKXaMf6JUWNUZTxnmCPHBFHqxKgxkcrBqM/R7C2pr3tOHXaCbhxCHT5jSMqjgcgrgnUui2yOP/qufzDTojPDW2cEBjEoO/Tw54LhIHO/apr7PZ+2qg3da5y39b70M/OBbiy6S9dNUKuU9DLd15KM3EbuCFcRA7HseI7ScpKwW4MGHJpeh6k28VNF6rUoh46uM5HKdbKHOmNp08bDVuaJC0yQI0dWqSdG8bCpE1VmYR4uVZXhdJj2rhJSpj0eNmeZ5wSFjgotTJMKcQDCNHmJi4TwCNMiQ54YNRwanEgXJBaVIeBjJozSDSUx1LE7fdooHtgo2A/V9S113OqXmmsPjDn9lF07mTY8Okzm0mAwPDgHfNyAwWB4TDGxyWAwDCsHPD6ZP5cGg+HBOeAB0mAwPKaY2GQwGIaVAx6fjCx2H9muZqEeqBxM4w8ydtmMlj/BvfUVewen64KO2iijgTjkzCKDsW8A8Je8RJoCNh45Jjr13NIUWGSSIkli1IhR4w/4cdrYvM158mQ4+U6FD7+7SIIKvETHyIcSsK7qVabgyiXZo+x5UabeKECuAtERZVkRgeRR+MRr8jpm1eNdRGabRgaX/wZi5FEAJhAznwJwG7gC62Ny2rtUsWmTpMTooVq36W6B8u4QhVlwnpTaaBzR9/arghuja7KhJR+930No0/d9P1KNoZKc6ULAD/MwPDB7KfHZTmbUL17tfP+0zFyjf3X1daOlnI3AMnUNRqBGjLWNmEjCnCqLFz9MNFEVuVYZDn14XaRcp3xadyIAlElg43XimqvMMOY5y2v8R7LkaODQIkyRJAVOUCRJhjxRGkyQY4IcEZpEqXOOWeo4lEjh0MBlBQ8bG484ZRVvRObmUAdghjlirJFliTAt4tkCt28lJOaMIvFsFNn3Nt3Y2UHH7KCkTA+F0FJiHeO1NFa3tb74+vdwBsWZnZiIDYX0bDdik4lP+8qg86lfn6h3Orjdzg3GgjLx3nrVsPmaWaUr92wE5muB190l/jduMMOcGO3U0/LOo3Wiz66wcfsI8VNFKjkxIttoRijWU8SpSH8JKHCCBBXiVPCwyTHBRV4iTIsyCaocI0yTc8ziUKdFmBZhZTvmkbOzHZOyNAUqJDbVzlwjRpYckywSocUcM3yMb+JQJ0KTDHky5OVw7gSaYko1RxxR6MfZ7HekYtxmAyRdo1ibshFY10/Kv5nePlPvb84gGfVW58i+9acOeN/JZC4NBsODowsBGwwGwzBhYpPBYBhWDnh8Mn8uDQbDw3GApR0Gg+ExxsQmg8EwrBzg+GRksftIr0xjO9lGb/o/ON+VifTWYNLSjqBTrK7FeBiRKeiajbrG0BnELfYuIgNtsILLIpMkKXakXjYeeTLEqZCixCKTtLF5hTepEaNCgghNFp47xdIzJ0jk10Seeg1RRdjAFVh9A7gEz55XgreSfGryqIhy//AOnArB6rtw4zawpA7le9Qhfj9Sw/IdYA34CXlfQoh89gpdOdkIHLm00XFbS3MThzovcJlmIyxuaG3kg3V9ORflgLaKCHZjiPQFRBqr683pek2oZYNqyQXdfO+9v9OvnqmeHzo3xgNeq+lJ5X6kQ/3crHfmyhjqee7V+2jnxVBgmZZTaQfCJHhQbblMHloU99a6C0/5NNYccH1Yg423joDbJuzWcEbrRGhRWY1TJyq1ManhYVPFVbXgxBk2T4Y2NilKPM8sx6hKvFut0MamjsOktyiO02SZZIGwkpIVSNMkwgxzTHOVOg4OdRwaxKlQI4ZDnTQFElTE4bEa49TpnNS6vIPEyBHEoTFBwAh2GYmSQXSs1zI9kDh1t2eZ/j3ovQBDO5K8biU93Elc2rPYZepcHli2kmwPkkju7LwLfvFabn448IDuNXYY6Qvo5WN0+wVa/tmmkktTxRWXaaeIHfK4fStBo+zCClTeOQlti9vXUyRPF4iMNLm8ep4lVTwyQ54mYWrEaGOTpsDH+CZVXC5wiQRlPEK0iFAmQR2HNjbTzBOhSY4sObKEaXZi3TlmybLEFAuc5SpNwoAMFZphjgUmialjaRGhRBKHOh/6yLvwXFNiEYiD9VN0+0gusALdWNRA4rXuH+m+0g3VVkEnWX2xBaXHgy/EncYbuHcYR+9v1b5wwPtOJnNpMBgenAM+KN1gMDymmNhkMBiGlQMen8yfS4PB8ODoQekGg8EwTJjYZDAYhpUDHp+MLHaf2coFbavX9MrOJM0fLJQddAbUclcthdUyjmX13EBkCnW1vV7elXvGqLGCi0cIT0kzdKFfDxuXKueY7RQMr5AgTpkmEaYWruNhs5KJisTrBcTd9V0gCWNngAx89bKISe6uy54cDsmn//yr8EYbxp6B7Gm4cUW9/gjiOPvvgPeA08BlxBV2FXgGkeHGwX8WuAbl7x1l/cIhbDxe5BI5JT2Z5Ryhw564ngFE1KFHgi0/pj4IRJ+mJTFBybGWxgblx9B1QgtKZ0EXBt6pDDHojjYU0lg9KP1hHttgWVbGsqxvWJY1Z1nWX1mW9Y/U8nHLsv7Usqz31PMxtdyyLOv/blnWgmVZ37Es6yO7e9AHn/uJS70y7t5zc2fnaT8JuZZx9mqAtAtqFCjBKZgI52gRJkGFyEgT2hbcCcMHFrTh0IvrcCdEfLxC5VYCD5vzY5eJsUaLiCoULhLVuop3BdIdp8QwTYqkOnLX/NgJ0t5NZlavUrVdiqSYZIErzJCggkOdYyoW1ojRIkxW6fkvcIkqLicoMMkiLcKEaeFQ59z4LNcLGYk7zyEjFEaBD6vn8+rwrfFAmyW5V4Yf7XmgtoFuvNpk7Qi0B0pet3IEDm47yMWz33s+8vi1G7HpABtuPM4Mkjn2btMre9zJ+SkE3Uq1rDz4293vd19P635BAy1db2NzggLFeorYmHamt+BEu/MxH3p6ntL7GdxDVQCOUSVMk0WmlJS+zDGqeNgUSXKet1lgknLHSzbONPPEqHWktJn6dWaY40XeYpqrONSZYY55pimhXWnLfIYvUyTJOWax8fAIkSXXcdA+QYE4FRo4xI+XRf56B3Hj1wr7KhK3Oqavut20BDYoy9dSWej2S/Vr9LLe76M/QXnsoCFFwengObGvrtZ70HfaT0zm0mAwPByPXtrRBv5b3/e/bVlWDHjLsqw/BX4e+Jrv+79mWdavAL8C/DLwg0i3/AxS/Oa31LPBYHiSOMCyM4PB8JhzgOOTyVzuM4Pung2689/v7kv3rs2vBu7EBOsGaUMMfRc7FFim7xhFAYfNtYZURjMECSqkuYnLCicoUCHeMe2p4jLHDLOcwyPETdJ42ERoUSNGeWqUqZvXOZZvyJ2u95GaSEn1sIE0fPpnxMficBrOnJcal23g22/AqyEoXoblApz8OHJX/wrwKeQ9k4hR0M+qQ/s4YvyTlPXWV4AzUMchF5kg3GwCUCBNkSRR6sTHK7IDqGYpIyU/E6hB6kEjpBRyNy54R3NMTcfYbEQSvMvZW+9y8KDyftnMfnfp9pU9GJTu+/5N3/e/raZryDd/Evgs8AW12ReAv62mPwv8ji98C3AtyzrxcAd6cHhUGaP7r9uqVRbtwLxWVgSzAvoeqM4G6GtIxbHrMLc8Q5gWBdKsfODKtXvHEhXDFGz81REYaXPz6gSAqkeZxKZNnDI1YkSp08bGocE801SI41IlT4aLvNRRYlRxCdOibkeZHXuWME2yLOERYlSZYDQJE6dClqVOHc0ILeJUqOPwCm/yPLNUcfkUX5WsJbPEqPGh9BKHsuuiwjiJZAmK6rAjSHjxCbSJo1Zqt5+gUmU10L69Giwdz3rvMXfnB8Wg3ul+2293Djzy+GUMfZ4Y+pndDcpQDc5abc7i30vvb3fwWtPXkq7d2M16ht0aITypf+vUabbCsBaSGNW2VTfCxyMEaxZ1HD429k1sPFpECNOkQryjHgvTooHDTdLkmCBBuWMsdpGXyJOhikuJFHUnSpgWeTLUiJGkRJEUCcqcZZ5LXCBMixwTpCh1VBtxyth4ZMnRJMwxVaM3TYHooYYcagLpu0URn8MRRFE2otvHQfpEYyhHxEA76nbTbdUbm3QfVfdHt78Q+2WqYae14TezJ6owY+hjMBgMA9jjcQOWZWURYfVFIOX7/k216hZd+8yToKs+AyJ2PgncxGAwPBkc8DFNBoPhMeaAxyfz59JgMDw4u1MIOGFZ1qXA/Od83/9c70aWZY0C/x74b3zfX7Usq7sbvu9bluX3vsZgMDyhHPAi5QaD4THmgMcnI4vdZ7ZK1fdL5w8yzdDby7L2Fu+7zL11m3QNNC1D0PKPcSDVSb/XGCXTzHfkFTVixCkDEKdMkhIuK0RpMMkCS2Q5x3dIfLDGajIshj5fQaRq7yOSigJdCeufQWwEvnoFeBrGQpJuOndUDH1ST8NqG278Gdy9DKTV+3wPMri8Dcwiosk7wLPqfZVhECE4/VYJl6o6nhgZ5HhmmMPDhlH1/+QOclfJVs0Sg80GGLq9gnKYVdW+QeleUOKn62P11ve7Vxq7lWHBUMhhNbsj7Sj7vn8h8Oj3x/Iw8sfyd33f/0O1uKjlruq5pJbfQL5xzSm1zMDOz5/tJJFbvW7nsiIty9TyV31NRPtsE1ymXSTGoA2Z8TxxysQpk0hVODS5LquPIteyi0jQ1iA80iRGjRMU8AgRwiNMkwgtSqSoEeMlLjLJAmkKODR4lTfxCJHx8sSo4TZX8AhxtjlPhBYRWqQpcIwqSUpUcQGpEWfjEaei6lmWcamSJYeNh0uVOWaUccdkRz4bibbgOBIy7iBy2MOI7EzHpA5FNselOBKLgoZjQdMMLZnV7dyrr7pXb9XvXOhn7DM0RmNgZLEHlEHxZau+Ue/re18jBL/sUM8y/XseNO4JSmLH2HxRdudbuTGiNAjTJEwLN1zlUHwdsjI0hxNtWLO4fi1LNLtCayPMLOeUsY6tjBNb3FQGY/OcxcMmSYkZ5ojSIEOeih3nApf42PJf4hFiZvUqx242SNVLvFC/TJpCJy6NUqNFpFML06bNFAskqHTkuC4rONSZYpEoDVqEyZDHw+boM7fEYOwYYqy4hhj6nFLPnTbM0Y1DvXE+ONyBPtPBdt9Mr8EYDBoq1j9GDWJPhxwdcFms+XNpMBgejkccIC1JUX4euOL7/v8tsOqLwM+p6Z8D/jiw/O8q19iXgdsB+azBYHhSMH8uDQbDsHKAY5ORxRoMhgdnb8YNvIpYNc1alnVZLfvvgF8D/q1lWb8I/DXwk2rdl4DXgAWkqs0vPPI9NBgMw8UBH9NkMBgeYw54fDKZyyGlXy3DQbK0frXHZH3Q3VQTlMAGialtG2pabycykCIpPrn6F7wZeYXLvMBlznOBS2TIk6SIQ4MKcRo42LQpkeIYVRaZYn3sEHP2DMe+0pDak58CXkYsV44CfwI8CxcLMDYGHx0BLkOlLXtQug0/fBoaRZk/+TQcTiISsWXgLxCHsjNqty8gUo3b6tD+SC2/DKTBoc5bkQu8xQU8bD7N11T1To+wWxMZWgI4oZqiTECdkQq0yxhdd7hVum6xus21FEQTrNsXfL6XzfVLt64vF3zNQcT3/b/wfd/yff953/fPq8eXfN+v+L7/Kd/3z/i+/2nf95fV9r7v+//A9/1J3/fP+b5/ab+P4XGknxy7n9PidvUMtyboFgub5eZadqavqVW1bqxnXiTuszxPSA1imUotinRrHQ6dXBc5rFvj0Ml1kuMlKhtxrmzM4GHTxiaER44scSq4VFlgihox5pmmRowiKbLNJSp2HA+bxcgULcJUI8eIrTaYuHkT2/MokqKKS4Z8R0ZWxcWhTpYcC0yRoEyFOHUcHOpkyONS5SzzUn+Tt/HatsQgrSJ7Aal1uYZIfKOABZtdwHX8AYlLwbYLxv1g3b6gG2//73Cnceegxh/DcNHvfOxXn3WrWod6evA5G0wN6d/zoKvpeGC9dkLV/a0o0jGpAaskP3KNPBkaOFRWpY8UibZEpn/H4ujxcmc4jjNaJ3moRJwydaK0sYmx1okTN0kTocUMc8SoUSeKTRuHOjmyhL0WtaNhUhSpHwnTPgIF5wRvOt9NXo0U8bC5SZowTVqEWWKCBg4uVZqEAfgk3yBFSTle53BZYYY56jhkyHM7d1xk+wlkAIqLxKcPCLjFNhAbWWkHIej4reMSgelgBYPBbFVHuV882s7lWjNUQ44ec0zm0mAwPDgHfFC6wWB4TDGxyWAwDCsHPD6ZzOWQsFVWMshWRj7978boO9ZBYxnYfDc7GlgfrJGW6mwdp8zvjv0k55jlk3yDaeaZZ5pZnmeRKeaY4Ryz1IjhqAxdVN2tn408z8sfXIankWzlOlKT8kfV9BpwBF56DS6WYOEO/Mn7cu/v2ThEQ8A4FNfh2deQGpdx9R7rwDuIKdAbSLby3wHvquXjwHlZfuOn43AFqrgUSfExvolDnVnOAdDaCNMqj8lA9VtI4YpbdG+ycV21hr4Lp+9OasOMoJFPg81GGtpkabNpQK8JQW+9rkEZop2cK0EeWVbhgA9KNwhbnT9b1ZIbNN+l9wQIms5o0wedcdPriptf70KpkGKGOZZaWep1hzoOt985DlNtNuaPgAvtuzYb80ewaVO5lcA+5HXMvaI0SFIiQpMGUTxsKiQAcKkSpkkpksLD5mxznnPLV3Gp4lAntA7r44eo21FmmGOqvkiJFKPUKJIkRo0YNfJk+Bh/zgkKnGOWGebIkO+snyCnMp4RsuM5TnxkSZIiCdVMObrhZE0ffyrQFrq+7iqdGsXq6Lrt2Q68iY5P/emNRb0mPkNVb7cfxtDniUGfq4P6QltlNrc+f4PGM0EVWI3NCi/oZuU0SWCMUiFFS9W9jY+JYY4d8uBOCEZ8GmsOyafzjCaqVN49SYwaubrU443QosAJqriUSRCnQoY8S0zwJq8QoUWMGnPMcIICdTtKyU6SeHeNuh0lVIKJ/E0mWSRJkTQFqVVJXepqAhe4xIt0xT2f4cvYeGTIkydDmCYZ8sSp8ApvEqbJ6KkyH5p5V/pHsqPSF3sKmEKpKnRs0uqJaOCh449uT62cg0CHK/Ad9Kdf/6dXbdEbp7ZTYuwZB7zvZDKXBoPhwdEB0mAwGIYJE5sMBsOwcsDj0778ubQs6/8C/DDQAhaBX/B9v7of+2IwGB6CAzgo3cQng+EAYGKTwWAYVg5gfAqyX7LYPwWe833/eeAq8E/3aT+Ghl6ZxqA6TkFp0mBpR/CegZYd3KVrhBHcJoZIPBqBbXVhx6J6NDhGldPkyTFBlDpFUqSUPE3Luy5znjJxMbrApYFDnDIv5y/j27A6Ecb/fsTE52VEunpNTa9D48/g+SNS2/IjwLMjwBEYTwIFqXt540tw5YtqN9fhxiwiif1NRC57GjH00V47SUQm+zScfKMCacis3sSmzSKTuFTxsJlnmnbbFvOeCDJYPaaeq4jMI3SKbk0rLYnREg/oSmGD9fhCnWWW9T9uWu77v7rpe4Wt6zMF2Zmk597tHwneQz6GjycqPm0nee2VZwdfN8gkISij3PozgrIz6P7aBqVo+hprAA73GNiE4FQ6T44sE+EcrlPlekGVOX0nJNdwGzZuHIFsm9Jqisn0AueYJUKTEB41RqkQp4rLPNPU1TWcpkCNUaljWb/J5PJ1jixtABBbbRBuNmkfAWd9gwgtasRYcCbJkOfC8jtMc5U0BWx1oieoEKFFXRmf1XGIsUaEFp/iq2TIq3p4TVobYXCbKHWuGIyNIvHIRjonHUMerZPSdXYP041Rerve2K/ZmTQWtpbC3m9M2hMeNjYNX3x6omLTILaquxqMOf2WB9f1e6/+14f+HW8EnoMy2bvqoftTgSFGa5FNMaBWj7FWjcFIG25ZtNYcStfSrOUS4DZZ3Jhk2pknhNcx8gGIUWORSfJk8LA7NboTynTHocGx+m1GqcERxNzsCJQzo5xeKtEi0qmbmVIloSdZxMYjxhphWiSoUCJJmBYeNi9xkU/yOhFaUkuTOA4N0k6B0mpK6lreASboGvnkULEJRBobRTpiwWFDuo31EKNgnfVgPfFB38m9DJJED40Mth8HKzZtYl8yl77vfyUw+y3gx/djPwwGw0NyAKUdJj4ZDAcAE5sMBsOwcgDjU5BhGHP594DfH7TSsqxfAn4J4PTp03u1TwaDYScc8ADJFvHJxCaDYYh5gmMTmPhkMAw1Bzw+PTJZrGVZX7Us650+j88GtvlVpHl/d9D7+L7/Od/3L/i+f+Gpp556VLs7dATdz+BeOVI/GVqXoPwpKJvS0g3YXGtIb6trNZbUulUgBVaUP+dj4nJGmyrHmGGOAmlSFCkTJ0KTKA1SlHCpUiTFCQo0cFjJRLE8GCu1sP4NUm/yPUROcVQ+vfiHEH0WltfF9PVkXFxjv3MNGrfh9RLk2nDyM/BsWr0+CSdfQ2pa3lSHcVrNe0jdy1HgJxAnMyUjqI1F+SSvE6XON/gkcSo0CdO6E5Hto4g89jgi9cjqZtXto9tPP9fZLOkIOsYFpTOb64sO+m6D6x+Fy+uuvqceN/Awj31gN+LTQYlN20mGBtWL65XlD3K2Hvz+2gG2t+5rPzs8fW2t0j1p1AlUk9ptNlJn0sMmOlqHEQi/vAqjTbmuR4A7IeyQR5MIeTLUcTjLPBFauFTJkuNjfJMasU4cm2KRME3yzilaI8BR8EJQHjtKI+IwPzbJ4vgpji01CNNkZnmRdP0mlgdFktRxCNMkSw6AMC2mWMChwQu8zRQLvMRFFplS7rFrpCjRbtt8KL0kMlityHeRWsF9OyVaYqZdGnWtXdg85KHf97CZ3t+f4HK418l6OwbFnEdaG3M3YtM+xCfTd9qe7dyot5LIbk+wTxSMSdHAMt23Wg287nBgO90PuEv0+AoAs/VzRGjiOlVG3Zq4xdpwKNIk6tZgxGfUrRE91KCKS5YcYVo0cDpO1uJqXcTGw8PmY57EqhRFUvUS4TvdXV9givYRSLy7BiGp7x1t1gl7LZ7PXxUHi9PWlwAANpFJREFU2GYZlyoxr0aNGBnyjFIjRZEYNeJUyJMhS44YNQASlHGo44zWxbU6i/SXTtG9XqIgEv1coP2C9SsPBzYMyvph8xCt3u/kXu6n9nIv+1qb9zHtO+2UR5a59H3/01uttyzr54EfAj7l+76/1bYGg2FIeUxrNZn4ZDAccExsMhgMw8pjGp92yn65xf4A8E+Aj/u+X9+PfTAYDLvEAZN2mPhkMBwQTGwyGAzDygGLT0H2yy32NxFbrT+1LOuyZVn/8z7tx74zWNraX2oWlCrtzJ1vkNygn8wsSldGW1PbFsGHC7xFnAprSoJRIA1AkzAvcJkFpkhTwMNWUrIFSqS4yEvkyXDrqaNwG3GGjSCS2PcQWWwBUj8j03eBH4vL9EficOYIRI/CJ85BNgRf/TKQhNV1RAJ7G3GFfQ2Rvt1W7z8ONIH3EZ1tEVZfDdM8DW/yCk3ClJSEbp6zuFRpNsJSFPi6Ovw14AP1Pi6IJFbfj1kOtFdv0d8o4nnbDqyHoMzG93/1HtngIFfG3S5WvqvOaQezELCJT4p+Rar19Haxa9A6QV9HjT7L9LN2Xe7V/7SRr0c7o2pZbJtaPYaNR6PsEj6+SuvdMahGYKRN+Pgqo6fKrJVdIjSpKzfrL/MZNV2hTJw3eYUXuMwUC7hUKRMnhEecCnUnSvuIyGKP/5fbtLH58AeLTC1cZz19iOMLt/FCEL4DN56Kk6LE8x9c7RQsj1Ln5AcVEktrTLLQ+dw8mY4zpMsKaQpMhRep1BMiOxtBYlAIiZ0dQ2odz8fpSs/uBtpmma6GKtSzTbA9NzPot2i74vSDGBRzHulQgN2ITcMXn0xs2gG9LtaDzt/BBCWxQedqPR8NzB+m6xC7inw9+jpbpVF2Acg6Syx++8NUVuOsXUrASJujL9xiY93BGa0Tdms4Tp0ITTLkyZOhQpw6DiWSFElRIolHiAZRPGwu2h/FpYqNx5LzISrjo4TwuHYiyYXVy9ht8JPAOtRxqEVi5OwsNzJxSiSJNDeoEGdsqSUy2OU1Xlh9hyZhzi9fIcsSGfK0CBOmiY1HkhJRHbdfVonz0UAzuaopNsX45Z521G7fveihQ/en+eztS+2kj7PVubAnctmD2XfqsF9usVP78bkGg2GXOYC1mkx8MhgOAHsQmyzLygC/gwx09YHP+b7/G5ZljSNmO1lk4NlP+r6/YlmWBfwGcju0Dvy87/vf3unnmdhkMBwQDmB8CrJfmcsnlq3u8G91t3+QccbWd3qDtzaC9xGCpjO69mXwztsU3cxmCmjgYeNSZYkJXKpEaHKOWRo4zHKOBGVyZJljRt3lEoOMc8yS9XI4XgMqiLGOrnP5MuIddBTufgkowALw2xX4/ffhOxXZw4sFWZdrw0dHZHosgxj3PI1kJnUG8wpyl7+gPicEZIB3xFAI4NP1r5En09nHFCU8Qsyk5uQ1VVSmUj13kisNULU9u204FpjXBiV6u7tqXmc4u9/DVmZNerpf3dNHZfLzwOhxAwe0VtOTSPBcG1TfEvrHrq2ymZsJZgH0daMfel1vzdgGcpGPI4EjJdt74FKlRIqss0RlNQ5ti1Y1pkx8gIUQrXfHWPtWgkORJsV6ijQFZUpWIk2BWc7RIsJ53sZGTH9KJHFoUCZBhTjHPpBgECkASTh+8zZLT52A23DkjzbAlqxmawROflAhvVqC29AiTIETHL95G9rQTEkduldvvkW2ucSLvEWGPFlyTJAjS44mYVynColmtwlS6niO66bRMWZZtYuOM+NsNhnTbd4ITAfbf2t6lRRbnRcPw67WpNuN2LR9fGoD/63v+zPIL9o/sCxrBvgV4Gu+758BvqbmAX4QsZo7gzi5/tbDH6gB7jXIg4c5n/rVhNVxCrr1LsfpZtsOI4olnaVTtcVHWp0akvHzN3BG60TPrxAerXO7fAxGWlQWThIdrVNddqnjUFSmXHEquFQ7z5/hyyQo8zG+2alzWSMGQNq7SR2HxBtrnP5A6lh6IbDeAyJw+o0SITye/y9XOZmvSHZ07ARpCjTT8OF3F7FKEHoPUpRojUCEFqc/KHGW+U5cSlEkwzXsQx7xbEH6SC8j2UtdWjcGXaXXSdVOQVOxoCGizmTC5niv57dP0Q1S2Gy17Vbnxp7UxdybvtO+xadhKEViMBgeVw64nbbBYHhM2YPY5Pv+TZRXue/7NcuyriC96c8Cn1CbfQF4Hfhltfx3lBHPtyzLci3LOqHex2AwPCkc8Phk/lwaDIaHw/y5NBgMw8juxKaEZVmXAvOf833/c70bWZaVBV4ALgKpQIfsFt36MCeBfOBl19Uy8+fSYHjSePj4tKPYBHsfn4wsdo/pJx/barsgWhK5XX1EmQ/1PLTkTBvMBOUdscCrHeCGWtZAzq0QYVrkyZCgzDf5GFEaFEkSo0YbmzY2Z5nnY3wTlyoAVVxahLlsn2es0GLp1RNisFMBvgW8hMhZb8Pho0ASksD/IQ1/MyTX3eo6PH8Evl2BjyRlD5eXoVEAZhH562cQqVgTkcqOqekrSI3L9xA5bgiakTAgco8MeaZYAKDACa4uT8NTPjyHSA4abFaVdSQaq2paS4m1/KN3wP8YXWmflvttjib9pK/Qv6ag3m5PJBs75YDXanoS2c4UYVAM27kkVhN0JtBxKXhCaLmnGGN05VSryO+dqtUbF7MKG48qxwiPNDl0dB3aFri+SGOfacKpNoc+vM7G4hHOO2/jYRPCY5IF5pkmThmQuJUn06nzViNGhCZT71xn5akooUvQTgK3oXkUJt69CW249dNHYRUifwGR27A6Hu4cZrp+k79x8x38CFASWW3i5hrNo+CFQpx8p0KZBCWSRJE6dzHWiKAksXEkJK/TlfqGdBtqeV6whnEwHtUC0zqY3d995UHx6VEYju0au1fnsqzrRapHvz+Wo8C/B/4b3/eDxQ9RWQBTMuQR089wrPdxf+eovoaCsnL91QZ/03UnQRtpaTMfiVuH7DYeNmXiRA81qCycpLHm0CqrITXlCB86+y63c8c5MV6gshwHIEmRIkk8bGY5h0uVAmniVLjIS4RpkaKEjcexpQYF+wQOddYvHIIKhCoQaiKdqiZwFMKeDA1qH4XEwhoTF2+S+GCNSBFuPXMUmtA+A8c+aBC5JM8LT53imfxf4/7/2zv/4DbS875/XgECSJAgIYJHSpCoUifqdKJPqnyn+q53SW33LrbjmdhxOvnhyTROm4w7k3jS/tHpuJOZ/piMp5500k7baT3jpKndGTdO0kkaTXr1Jb445/rcuwvvjjmepdNJOtKCBAoQwQMJERAgQNs/nvcllhBIUSJFAKvnM4MBsFgsdhfYL3bf9/t+Hwoc5RwAMcqMM0fvrrJo7NuIPbbo21WACJfbX+7eaZY7N3La38oCW2YztKr/vt5/0Hbo1LYMTdqec6c7apOs787rk15cKoqiKIqi3APGmN3Iids3PM/7Izs5a4zZZ1/fhwwSBmm5HfO9/YCdpiiKsu20S5/04lJRlHtHA30URelEdiDQx6Yr/lfgrOd5/8730mngc/bx54A/8U3/BSM8BSzpeEtFeQDZgXOnduqTXly2ia10zTfb1lrb05otmP50WJds6urF7UZsVTF73+u7DQC7meE4FzlMiDqTnCHHCKPkWGCYOEWiVJnjEAUSZBlhjDR1QvRS4mR9mqtjgxz6n/NyQPwOYqPIAR8DDsJyTqaNAuczMHQE3gBGj0Fvj9S4vFmBgT4o16D3JFCB5ZeB30KCkwdlWcwiVpBDwNfsZq4Al2Bgtkox1k+ECnmShKgTp8gHmSaeKMJ1I5ZdEJvHAlLvEmhYYnbblY+z1tbht/X5kxn9FhDwJzS2SjlrTgNuZUm713pz207AazU96GxkMdrINuu/rf+eZmums+/3+l7z26mcxaqGpDHbaMICxK0fK0pFEhhBjtvLhl3JFbgehbD8Gx94+gJ5hu2SQqQZ4zhvMckZIlQIW03IMUKBBOPMMlk6C4Niv115xv5troj9tXJQnu59dQlCiA4B8aUq4byd703gEphZxNJ6A2p9ED0LA69UoQ4fLE1zkunVZO4JLnCYiyT3LsimFpEk6wJijV3dL/56e6NN+9FZZP01RJtrXK5/EPrrA66XFLvRf1lbk613ps7lM8DfB/6urTs5bYz5JPBl4MeMMeeB5+xzgOeRwSEXgN8GfmUbtlTxsV7q+nrz3I47XmpN97D2eHPp+i6x2X/MufqyB7i1EqNChDpholjL/vWo6EAtxMiJS/zwklSYqRIlFK4TpUKaMQ6S5jAXeI5vM8NxsoySZoxTTFElQooMRfohDI/O/5DeSon5aIrZR/etrvrywQjLRyKwJOc/ZCBs64Evn4qsbt7e7y5BVuy0vIucQ+Vh4o8vQwWOlt4FRDNjlEiyQPlWrww/6EF+0fuQJOsyNM6JsjQ0Pevbl/5kcDe/H3+67O001y69G13aKtuy7J05d2qbPmmgj6Io946mxSqK0onsTBrj9wCzzsvPtpjfA371vq6UoiidT8D1SXsuO5RWPVPNtQ/Xx99D5m/i8IdmNLcSuZ7KrJ3/h3a6zBeizpO8ylHOMcshisQ5xyOMM0vM1sEcZoGjnGOCi2QZIUKVMHUyoX3s/esl+DDSGvYjwGeQ3st3gJdg4DPAERh9CsYH4Rtn4ZdH4GYGGJPeytwSnM9L1BUpWbuBIQn94VUk3GcJCfIZtMsfQfKxHkN6L0MwyzhRqlSIUCBByPoL+ncVpbdjGOklqCC5ISC9BexGenLjdsH+3kk33bXGuQASV/fSDWKH9ZqdjPnSbb0D6wX+bNRKt6O9BRroE2ju5JJoNe9GwT7GfMn3zN8j4GfZ95p7vYgkgUEjTAO5j0OMEodtOFd/ositShSGazBR4Va+D3pqJPcusOehAsVqPyV6WSBJnCIp5hm2wT17KNgauBUWGOYjle9QJcpCLInXB6nFPH25W4TPwpUnktIreZ5Gp2rFPr4EZgnIQeUYsALeEbsJVvfCp5GwsXeA9yTkZ8+1Mp/keY5ybjVMaGRXjsjeZTiGlCD+gG/3re4PaPSk+MPaXH253U1vchok+3i9/5NWwWKtXBTr9XC3NeRn+wJ9lDZzp5CWVm6ezYYnrqW5ruV687hQRP+xBXJMjdib1MB85OEZTjBDlAoVoqJNPTVI1OB6mNy7B+lNiPOieitCYqBAiRgppG7lHIfIMspRzhGjRIkYCyRXQ8ziXIceuLRvhHx0mIn0ZQ7NzosWrcDAdJXYShVScGUiKY6uRaAHBt6WgB8ugfcYEoj4OmLMmgb+EMkOXYFaaBeTnGGSMyTJc4rXKV2P0X9gQXorDwBRWS4PAaaXhhNu2e6z/b795T+4XAii2+fufMkfTLaW9ULFmuuCdywBP3fSnktFUbaGjptUFKUTUW1SFKVTCbA+ac+loihbw9vi7Q4YY37XGJMzxrztmzZkjPlzY8x5e7/HTjfGmP9ojLlgjHnLGPP4Nm6poijdxFa1SQuIKIpyvwiwNunFZQdwp7CMVq832wDW4qya/hpNYcS66ab7a8u5adh5LtMIrxkFlhkjTYYUb/LBVVtEggLzpJhjnHHm6Ke4atkoEyNjvauP/vUPeedv/o1GMM4vYr2tiA1jBLFg5OH8K/DtJfj5YxLgM7MEb02LWXd/Eo4cg+d6EIvrEGLteAIZHJ9FrCCfQmpgWussefv4hrxvsnKGLKPsoUAvJQokqBChTAzmaGTv1JDnSfkcsXm4fdZsL8vSsMDexAUhNewzfivf7bgQplaWwuYB63eymjVb1wLA14BPNE37IvCi53lHgBftc4AfB47Y2+eBr+zQOj4QbGR93cgO2/jNNluc/M9dHV5o2KGKvufOXuU/roagILUpz96apEaI0VgWrofllo6KpT1cJ7SrzvvXEnZpdQ4xR5E4MxznDJOrmnWYi8QpMkaa16OnuMhhCiQwFTCujF0Y9l+wNt0QcAnRsRSiNxngHbHCRt8EBsFMyTSO2NfP2/fcQFqwp4CsWHxHyBKjxAQXyJOUmnh7EQ117uBVhlo8dvrdXPvSH0zSsKBtVBOuOcSneXhGq9AfRdlONlN7dzMBY62WuZb1UlOa791/OjSOMWfjdHVlJdQnfyvJGUSbhlngwME5CNcZOZiBHg9qEOsvMTh+lcSuAqVqr7W/9pJllCgVMqRIUCBFhhA10kiKWJUIeZJceSjJwdkcBy/YihKLyBCh92RVwhngJdj/tbys2g1Eg7KIBTYMZto+voFYYfvsbQi4Dn2ZWxxKz7PHrsdFDnN04BxjsTQ2H03ssFcRzb3t4sedVLmgn900dN1pv/+c1b+/W5ssm+3Qrc6VNjp/Vu4fenGpKEpH43ned5G/Sz+fBr5uH38d+Enf9P/uCa8ACVfPSVEURVEURbm/6MWloijtZtgYM+W7fX4T7xn11V+6inSxgyQGpH3zXaYRy6QoiqIoiqLcR/TisgPYjM1xs3a023F2KGgkmIaRZFMQ+2aZRppXHon98tVrMgPMMc7J+jSTnCHDPqJUmOE4vZQIUSdDimHyXOQww+SpECFKhX6KYolF6i1xDHgZsYOFgFOsJrm+el4qbZ4AOAa7+xom1IkeWFwCjsDAIZmfWfveY6wmmjFCI7FxBEmNdX1eg3DlsSTz0RRjpDnDJEd5lxglmxBZhac8+AiNenJxu9ww4N0ErtBI1nU1rgYQ74izokHDIhNnbbSX347Wms3YX+/03e9cSuO2RJ4teJ53ynf76l2tgcRnd/gIhO5jM8mw/sfNv7mNbLIN/MeCqxfXbDfDTisix9oyULL3i6IjwOFdYmeNUJXaliC2r36I9FTIvXuQWz/oYyJykQpRSsQIUydh7fEVWzcOIM1BivQzay3/H5i9KMvrg1oSqaf7CqIvg4jmZOxtEbG+zoBJ203MICmMKaRM9RTi+JpFrGghxI6Wgywj5BmmSHzVCkdPTTb/pGwPieb96Gxm1ha3ml7t38/O5udL2r3tO1hLc3L1RvV1N2vb3zk0LvZBYuOU6rW/083ZIt1x4f8NOOumS2bu9T13j910gGVqtRAZUpSJkb41Rp0Q1ELk3joI0wZ6PPJzKZYW9lC4lWA0kqNInDIxJjkDwCRnmGOcLKOkyDDBBZ5Jv06FKAD7r+Xl/KoPGcLjgqBHEc25hJxrPUvDku/s+FY/ydnXnkcSZc/b5fwZMmxpGqjAPjKMkKWXMjVC5G6NiF2/3y5zApGj1QIYrn662zcD9ub2ZfM+Lvv2pduPMt9mtGW94UTrTWsfwY6L1bRYRVG2QNsKXWaNMfs8z5u3tld3Vn0FGPPNd8BOUxTlgUKL8CqK0qkEW5/04lJRlC3gWt92nNPA54Av2/s/8U3/gjHmm8CTwJLPPqsoygND27RJURTlDgRbn9QW24G0KlLdTHNC38b4i/26lhKXeLpIwypbopEo6wrg3gTvJkkW+L+hHyXHCIeYI0meQ8wxwUWyjDBKliyjjJAjyygxyhzmIsPLS4Spc3TxhwzMVsWCMYRYNc4j9rAMcBKe/CzsfxbiPbB4urEWo4gV9nwN/vI0YkELI3a0l5E+qzE7/SXge4iVNWfvQ4hFdhb2v54nSZ7XeYIkeeYYp0icGGXGSLOrrwTnkP6uCfvem9jQSmfTyNn957d3FO2GuVRel3TpT5lzVob1W6taFQDe6Pttv73Dtb5t5bYxxpjfA/4fcNQYc9kY80vIReWPGWPOA8/Z5yCmnveAC8BvA7+yHVsZVDZrfV1v3lapsM3JjBv/RpvTYt00l2LtEpr9icvOKlUElqEONUIUiROmztzyOLF4GfprsqgeqN6I0rv3ffqfWuBc6SijZIlQoUaIBO8zTJ46YSpEyTLCBBdIc5CP8pfUCXH10CCv7DsJN2BhYBAvhFjv30NsYzeARxBdqyES8UnEOjtNQxaWkELjjyHa9QKiWX+BWG3D8Gj6h5xiihQZIlTErl8Iy2Yv2OVftbsg7PbDKA0dd8mLZRppuy6ZsZXFb+Nj0P0H+dNg19Omzkpm3A5tCm7PQidzr78j/+/S/z/qH1a0ueFEcHtCrEs2dceYexynYfkEOdAXcWcv1RtRxkhTJE5yV57598ZhPsyu0RV2PbMCcwZ6qoyksuTnUkSoMEKOOEXyJFkguZpYHaPEHIcokOAPx36CAgkml9/lykNJYitVKoPAu8i5kRut8ypwHJGIJRoycR54FNEqZ5PtA54C/gOiT2ftJk3Z99yAUXJUidr1G6Z/V1HSYsuIJhbs560OVMkjf8funMlv6QzT0Hp802/6Xmv0gbU63/WfC7vnrebb3LnyTnL/z53aifZcKoqyBe5/65vneZ9d56VnW8zrAb96X1dIUZQuINg9A4qidDPB1iftuexAWtUUa26VadUCt36rjH8AsGv1dy1vbuA0SLOTC/JxteSWIbybJ3mNEHUiVIlQ5VWeZIFhvs/THOVdMqTIkyTDPmKUiFHiHI8wNXCSiWuXyQ/1c3ViUPqV0vYjH0Zay3rgymmkB2AJBmyptvMZOPGUrNEbZ+X+I65eZQ1p6e9DmkgqSCvbGPAjSK/Bm0gv5kngd5AegyGIVCqEqPMkr5K2w/PmGKdML7eu9Mng9Dk7fxxfBo9rucQ3cdn33BXB87fKuX29UTtO+Lbv2X/fqqW1c+o3BXtQetC5m5bcVvOuF/KyuTAfP/7jppe1dWJdeFarEK0aHIDcstSDA0gMFLj+zjBcD9P/iQV4HyhEKV/dQyxWAiBEHWC1xzLNGKNkCVFb7WU4xRRVIky8c5nrxHnq2jTeIMQrRYwLEzuIaE4G6YXMIwFjbyNhGY/Z15aQoI2M3YSXaAT6JJGegdNIT+gijC9fJk6RMHXqhOgdf78R5JNAegcetZ9BLxKK7HQ87tt3cRqhYk7v3XG3sS616iFwrf+tAub882y0nJ1DA326hc38Zu4m+NA9X6+n6874eyndMeN6i9x0505yPXK7aYQmgjvHivSI++AwFykRo3e4AHvg1kqM8O669PrdiFC/FYJwnQJ7qBOiRogQdaJUGSFHjRAFEowzS5wiE1wgRolwBfbP55kbOEB0CTkXmkV6I5eQ85/TyHnN28hpis074yU7z0t2tb9Jo5cybzfHuTRm5VYhwjhzJFlglCxx545w4YcH7Gf1QqMHd8je/L2U/sAev7vO/7rblxuHjjXr0r38fnaeYJ87ac+loihbpLPtGYqiPKioNimK0qkEV5+051JRFEVRFEVRFEXZMnpx2YFsVKOp2QLbXMPn9q7/3qbHzvIKjZHdbnqetQE/WXmtdpMX+DgpMsQp8m2e5RRTjJEmRYY5xglRZ4QsT/IaMUrEKRKjLDXaanCBCfamlyTwwtnI+hALWQ32J4EoZKeACgwNwpEUvPyKDAV//BiceBixZ4Rh+VUofw+xv6aQQetfAD6L2GO/Zpf9QbsppxCbSBhy0VGOM8M5jjLOHOPMEaJO+taYWG6Tdt3ySIAGbpeV7c36dllkNfRo9TUQq4yz0ThzgL++XJi1poFG69V6g9WbX1tvcPrma3htF8G2dii3cyc79t3Zj8Lcfjy4Y8lpk7OjZWmEadQar18WK2wvZbKMks2OwF6xyF6/mhTbV3+NA49cIHcpRShcI8sI86QoESNEjQQFsoySY5QwdSKIdb5ClKuPDtJPkQsPHcCsQN/5W7ACtUHEQtaDaNAziCTMIJbVszTCfJYQTanRqCvnNvkVO30Jsa0tQWZghH1kSJInQYFIT0WsZjfse04iwwsSbkGjNDz8Tn+c3hRpaLwLcnOhP+u3nLey4W/GYrieZXbnUVtsp3I/rdPr/e42H+TjLK/uWHHHkj9kxh/o48J8biLHoTvuZJhM9UaUOiHyJKkSkWO5p0ZyPOP7OEN+LsWxgzPEKJGgwHXijDPLOHMU6WeMNAkKlInRS5kQdeIUqfTB8khEgr9uIOc9QzTs9jM0rPonaWiIOy+q2OnnkXz1jN0kV7t3GdGyF4BLMLq4RJUIeygwyRkK7KF/fEECEG8iQ4p67G5iyLevbvruHX5rrJveXH93bXjNer+d9cIv7zRso30E+9xJbbGKomyBYNdqUhSlW1FtUhSlUwm2PunFpaIoWyDYiWeKonQrqk2KonQqwdYntcV2EBulvrZK6mtOkfUvo4E/5cxZzZoTu2BtSpeznbkEtN1EqVAiRoUIKeaZ4ThzjJMhtZocFqXK6zxBhShF4oSocYZJFvb18+TiNFfGkmINm6aRGLuI2DdOAh+D0Q/DW3lYXgF6YBx4vA8YgZffg7Mz8MYlGHgSej+M2D7eQ2xoLyKpZ4PAh5H6TVnE3tEHF/7ZAajAoQvzTPEEcYrMcJyqTT/LXx6V5LY6YiNJ+HZRGBoJlVnEK+ISGaGRiObqXvktMzTtd/801nxvG1mi/XRO7ctg12pShDvZXpv1Z73f4O3T/b8Bd+/sZ65G4zKNY8odcyVWLVUhKJbilOnlMBcYHc3RnyhCoiI15IBIf4nLmTGSB7LEImWiVElQ4AyTVBHbWpIFxpkjQYE8wxRIUCVCmRhVouyrZCQNcREW/k4/4eeBI75NmUYSpkF0Lopo0RHf6y8j9rMKvPESMAI3V2ikMdo07IPzOYbJkydJnRDhcF30qIYkxV6zu+J9fPvE6bUrqglrLfoujbF5qMTmaU4q909vpv3pjFrnslO529/GnayurZbdKk1/c5/r/87df7T/IsClwrrhMC6NOWafu4TU+Or764RWhwstvbOXXdEK+bkU1YUB6PHYNbhC/948Z898kCJxqkQoEmeOQ6QZY4w0VaKkGeP7PM0c41zgMP0UKcV6CdVqHLyWk3OXPA39eRbRmxxS63sKSbgeQs5xphHdGUS0Zxaxza4g51WX4Mof2c2w6fz1sCTG1qy/P0WG6o0IvINo1H47v/HvL2cl9tv14/a+TEOj7mT3vL0/bD0r7GbqhLeXYJ87ac+loihbINitb4qidCuqTYqidCrB1iftuewg7tTa3/z6RqEujZAM17rhWv1dy7Y/zMHVkCsiLd7+wdeAgV5bt/IiE0SpsI8MMUqMkKVOiCpR4hR5nwQhaiyQJEaZGCVqhLg4dIB4vSgDxD9Go4X/LBJksQT8hQT1nPi4XauMlKkEePklaXg79hQ8fhIZnD5r3/ewvY8iyx9EWt5G7GO7mRPXLkuL3iCMkiPJAk8wRYYUUSocOzgjrXbXgXlkYHqNRl1NoNE70Is00S3baW5f+1uUWu3r2pp5m0N6mr/Hzm11cwS79U0R1vsdNoeNbRTmcvsy1qth5q9vCY36aH79SiLH1TI8BKlYhtnqOGnGmH9vXIJ8QJwIB2BkKAdXo+SvDlNYThChQoLCap22InHKxLjIYdKMEaFCkgVGyNlwshLh+i2Wj0TwHoPhv74uPZIvIQE9I/a2Ym91RHvOI5o0hfQoRO1r07JVy38Bu6Pw1gtIh8cUkIP398m2R6hKkMeugmz2MCI7+2hsHzT2BTftgpymu5qXrcIgXE/B7W3M/v+c5v+fVrrUmTqlPZfdymYDfzZT+9Itb70gl42X0crZBWvrM+bsveup9NfFnKO8kCBEnQWGKdxKcOzEm+x5qAA1A/0VdvWVSI3OE48VGZm8RIySDRqrr+rTGSYpEmeSMzzB65zkTU4ww95rSyQWy/Qt35LzlBCSKfQqjV7JI4j2ZBDZvIScL33PrqILEjtrb4t2k+riqugNI7p0SaaH83CIOeqEqRGS8LNwXT4X+1kF5PBbnTBq94kLQMR+UPO+vZOTovXx2Fx7d6Nzp43OuXaWYJ87ac+loihbINitb4qidCuqTYqidCrB1ie9uFQUZQsEO/FMUZRuRbVJUZROJdj6pLbYDmKjLvrmwenr3TdCfpoHpbsWkuZaQs5+Vkbic/J2/iE7fQC8RcLU+Uz9f3GSN0kzRpkYj3COOmEKJMiT5L/xD5jkDHMcYoKLq3azdzlKkjwD01WxjKWRkJ0wYlPNsBp6MdAHZ1+AgQGYuQE/exLOrsAzR+DIEcSaUUcCfA4hltjHEIfFElLXss++PmjnvWQ3dQb5fCBChXlSpBkjRYZJznBx8fDa3ZZE6jX148tAmkPsL27g/m4k4MfVkOulUZvPDfh3C22u5wfGfGlTljL/93wvVo77Z/8Idq0mZX2abbCtLLHNFqSNf4fNbZ1+y2av77mzoNlAn+uIZSxylhhlDjx8EQo2TeIVoAiXn5+A4RrciJAcyFMkTomY1OEFHuEccYrUCK3WkisTI0+S3kqJEHWKsX4GMlXMEmITWwLvpxFNmbW3lxFte4VGUMYKEp4xiIRi5GXVhnogewNuVkRq3phBbLM12DNfpkick7xJiLqEZxyowVW76aNIeMYCuHp6Qg2x6cfsc3+9UIcbIuGvI9cav52w1XfcOTXjWqF1LruVzdqsm235/t9ls43bf9vcZ7j/a2crd/iHudxE/PDQsHlCY/jLKP1781SJAFAsxMndsvP3V+B6lFvZPi5fklrhC9kkFaLWkp/lLY5zhkkOMccppijYYUcAGVIsD0XID/WLnTUHlVHkfOokch70HqI5P0XDtu9WrQ85v3Ea1YecS1XgyntwNg/lCrzsNtUNRUpDL2USFIhSJUqVsYG0WPXjiDV3mEZeD0m7b8rI0KvdrB3igO9xKy1avw/sbmtcNr+vvXb+YJ87ac+loihbJLitb4qidDOqTYqidCrB1Se9uFQUZQsEe9yAoijdimqToiidSrD1SW2xHcRGiYwb1ZZrEN7AouS3IEDD5+nqx/XSSD5tTpEdIkme6dBJysRIkqdGaLUW3HFmeJ8EJ3mTeVJ8lO9QJ0SWEY5yjh9dfI096bLYMsKIZeNRxIaxgtg2YDXhtQxcycEzSbg5a9csDeWMfU8IsXIsIRazaTv9KcSu9kdIWtpZGpbblP3sEHznob/NMHlKxAjbFLdv85wknoWR1LW8vRVplLJaxW97vel77qxnbtpuGum70LqVqnZbPaZWCXcbJTVuhvtn/wi2tUNZn62n8fmtnO7mfhN+237Z97zmmzYk08Nicy/ST5UIUSrs2r8C16OiCQB7gXAdeqrUCZEvDVMnZNOt6xRIUCTOKDlilKgQpWLrX6ajY9QJMXztumhOBfgUMAjmVRrWskH7WVHE+u/0KofoUhSx6C/C4pLM+hrw2pKEyh7rQ2rFzQN5CFEnTpEkC9QJw/UwHLC74Bzi0DfQqK3ralr6h0E4/Gm7Zd/rziPnJ7yhtbl52maShNuD2mK7mc38fpp/h63+Q9dbpvtfNeZLTUv128X9abHuP91/zAzQqMfrXnNWdHm/S66OUqG3vyT1tAEKUbgB/RMLEK5z+cwEo6M5olSY4QQnmOEEMxxnBoApTllNClMkLjoWShKijvcYVI5B9BKN86pj4H3KPn4T+C4ygqffzpNG7PvuPYv2tk8SYkfDYtsHWF6kYatdgtHlPHGKq6m272aOSso+yOiqGo2KAGsqF7ihQv5pTdUJVqk13TcTXpMMu1FVhVZ1xIOhT51LW3oujTG/AXwauIX89f6i53mZdqyLoihbIXiD0lWfFCUIqDYpitKpBE+f/LSr5/Lfep53wvO8k8CfAv+iTeuhKMqWCGTrm+qTonQ9gey5VG1SlEAQyHOnVdpycel53rLvaR++cqtB5l5TPhsJsHeynDUnxPpxVjJoWMzCdloOscAO2WVkgSuI5UMS0M4wyQhZeikB8EGmCVFnjDTf4SOc4nXiFHmfBGeYpESMYfJMXLvMzNAjXBlLip1sEUkcc/bTEcS+WoPlFXjjLDz+MPyOXcPXluBYCgYehd6TQA8svo3Y02YRu+vziLXW2TaOAx9D7LePIVazWbt5y5AkT50QIeqEqJMiw9N8nycGpuRDRxEb3aM0XMPO+bLq+cDuH2cjdgXLb9Kwp/n3Oaxnj22VuNkq3e5OtMfmEbxCwA+qPm2GVjazVomwd2/j9iczQsMa63/urPu9NDxcwFW4fitOjDJjpLn47geIxe1xN1wROdtbgatRknsXCFEnGVsgQgWAPElilFf14Ps8TYwSZXo5XL9InmGG374uyYs9SCLsEqJbK4h9fgT5KT+J2M2eQfQmjGhQym5GDuiDoRTM3YCft8GRR4CbdbucJSADY6QBKLBHHt+wy+u39xPYX+aAXXiv/VBne3X70OmO3w7r/w9oZu0x2fzfs15SefN72pvECNujTZ2lTw+SNt1Nivp601qdL91ujfSnuUPD9trbNN0dP3HffP7X/cnWfusn9FOkQpRwuM6Bg3PkL4+yK7kCwxWqNyJQC8lzyzALfJ+n+T5Pk2EfCyQZI02aMfIkKRNjHxnGF+eJVCrMDe0jmkf89VmonAKmwEwhw4hAzmfs0CBmEdvqor3PIzb+FZnnZg3+Tw0uACVEqzgFjMk8mYERxkgzwQVKbj/dQM6brgAFVlOxRbOdDvXalSjSsMP6Lfp+/Omxsh/X/ibktY2SYjeyzAZDnzqXtgX6GDG6/wLyV/rRdq2HoihbIZiD0lWfFKXbUW1SFKVTCaY+Oe5bz6Ux5tvGmLdb3D4N4Hner3ueNwZ8A/jCBsv5vDFmyhgzde3atfu1ujvCvQQfrNfytl7AT2O6a9Xwtxa5Aef+1mvXguR/XEMKs7mWcCFBgTRjjJIlQ4qobfl/ktcokCBGmed4cXVegL966DEqRNj/Tp5LEyNSm9I/6Pw40hr2DgychMeT8vE/AXBSGvJfzsAb00jPZwaGPsVqs8jZ06ztGTiCtKD9IdKKF2a1dhwZmS9JnilOEaJGydayy5BijkMy3xWkd+AqEppR8O9lV8syjrTI+XsD/CFJrYIyytyJVq1wrZ63fzC6oztb37ZDn4KkTZulWXea9alVkMbmf6u7fY+dbjn8v5Xeta/vheQuqV1ZIMG+R2a5PjdMZHiZSE9FnAg3Iow8foliIU6hlKBKlDB19lBgHxkKJMgyQp0QI+RIUOAMk1RDEY7XZ7j62CA1V6vSac1B373Tl1eBJxB9CyOt9yv2fWlWQy7eugRvAH+Zk7dkgYEUvHEa0cNjEgCSIUWViNTJuw5cRnQtREOKVl0Sfmo0ejRrNALd/PvY/R802Fxw3NreTL+zphXt06ru7LnUc6fNs97vdbNhQLf3hPl7L/3BPNA4dopIl59zfvlD+1xv3G5c/dneYakHCdC7q0yx2g/hOtHeKhSiVAvx1ed1QlzMTPA+CZLkGSNNmDrHmSHLCEkWOMo5IlSpEqUw1Es9HObQ7Lx8nNWo6EvIuVYf8DpSatKdC71Do154CnFTuPslyL4EoyPwIaTnsoyUCOfP7DzAwXdyFOmnlzJlYqKz+xF9AqnBe8Dt193IudKI3Xc1RJSd48vhv9DyH3uN86hW32tzz2Sze2az7LxOdee502a5bz2Xnuc9t8lZv4EYG1v+EjzP+yrwVYBTp04F1gKiKMrOsR36pNqkKMp2o+dOiqJ0O+1Kiz3ied55+/TTSFuKoihdR/CsHapPihIEVJsURelUgqdPftqVFvtla/N4C4le+cdtWo+OoFUghh//wGR/wM/t9Xx+s+m9ztrhapz5LQhu0PmQb5qzedxEjFruJnXk5jhEinlqhBgjTY0QacaIUSKLJFPEKBGnSJ4kBRKMkuNE6W28ETh4LSdWjRHgNGIX+y1gGa7MADkJ9WEIHh8BZuHIEZn98RHEFnsIqRlnHQHHnkWsHyABG5cQx8UvAr+MWGT7EFtIXWbbfy3PYS5QJsbTvEyCAhc5TIiabPp+YBgJ79iLWGTjyIqSR3yzbp8OsNZy1mxV8ItH67ac9epcOpptPuuFpGxkX7t/BNLaofq0Ds36tJ498u6DfJrt+iDHG6z9jdy0z4fwB2a8+97x1bprESr0jy8QCtepXh2g99j7AESosm8oQ/VGhBQZSsTIkKJAggIJhpHabWOkyZDiZ/l9eT2UoEyMUA1qUUSDaoh9NWpXwVlfU8Db9pZBxOsgEvCDfb0GJ5KyiDngBDae6BI8nkJ0rgYV66F1IWqrVrO4/bzdiL6xiOjRftbaY1slCjrLHtxu+9s4IKVVQIZjo+ebr3u63XSnLfYOPLDadKfhIv5pfnuk3ybpv7UeXuL/vpt1yf3HO0u+qxm7TEOXlpHj0AUChSkvJKjbVJ0oFZbe3Au1EJVyBBIVHnt4it7+EuXrMYrLcT6WeoEqUYrErSG+ykUmuE6co7xLhCo5RghRZ45xBs5X8QaRU5EQct7yGHK+s4JolCtWk0NCxwYRbXoUCT6sIFoyK3llJGXrjiOSMw7cdIFBK3Dh0QMU2MOrfIg4RakRbmv3rg4JWN2Vzjp8xT7vBadpq3rl3++twsZuPw7Xq2Xqf+1u2PmAn0CeO63Slp5Lz/P+Xjs+V1GU7SZ4rW+qT4oSBFSbFEXpVIKnT37alharKEoQCHYhYEVRuhXVJkVROpVg65PxvO4Z522MKQLn2r0e94FhYKHdK7HNBHGbIJjbddTzvPidZ7sdY8y3kH2yFRY8z/vEFpfRVlSbuo4gblcQtwnuUZ+2SZtA9alTCervXbere9Bzp3XotovLKc/zTrV7PbabIG5XELcJgrldQdymnSao+1C3q3sI4jZBcLdrJwniPgziNoFuVzcRxG3aLtoV6KMoiqIoiqIoiqIECL24VBRFURRFURRFUbZMt11cfrXdK3CfCOJ2BXGbIJjbFcRt2mmCug91u7qHIG4TBHe7dpIg7sMgbhPodnUTQdymbaGrxlwqiqIoiqIoiqIonUm39VwqiqIoiqIoiqIoHUhXXFwaY37aGPMDY8wtY8ypptf+uTHmgjHmnDHm4+1ax61gjPlXxpgrxphpe/tku9dpKxhjPmG/jwvGmC+2e322A2PMnDFmxn4/U+1en3vFGPO7xpicMeZt37QhY8yfG2PO2/s97VzHbiLo2gTB0qcgahOoPim3o9rUfQRRn1SbHky64uISeBv4KeC7/onGmEng54APAJ8A/osxJrTzq7ct/HvP807a2/PtXpl7xe7//wz8ODAJfNZ+T0Hgo/b76ebo6a8hx4qfLwIvep53BHjRPlc2x4OgTRAAfQq4NoHqk7IW1aYuIuD6pNr0gNEVF5ee5531PK9VAeBPA9/0PK/ied4scAH40M6undLEh4ALnue953leFfgm8j0pHYDned8FFpsmfxr4un38deAnd3KduhnVpq5CtanDUX3aPlSbug7Vpw5Gtenu6IqLyw3YD6R9zy/bad3IF4wxb9mu927uWg/Sd+LHA/7MGPO6Mebz7V6ZbWbU87x5+/gqMNrOlQkIQTsOgqBPQftO/Kg+KZslaMdBELQJgve9OFSbHkDC7V4BhzHm28DeFi/9uud5f7LT67PdbLR9wFeA30AOwt8Afgv4hzu3dsom+BHP864YY0aAPzfGvGNbsgKF53meMUYjpH0EXZtA9SkAqD49gKg2qTZ1AapNDyAdc3Hped5z9/C2K8CY7/kBO63j2Oz2GWN+G/jT+7w695Ou+U7uBs/zrtj7nDHmjxELS1AEMmuM2ed53rwxZh+Qa/cKdRJB1yZ4YPSpq76Tu0H16cFEtalBl2sTdNn3sllUmx5Mut0Wexr4OWNM1BhzCDgCvNbmdbpr7I/S8RlkIH638lfAEWPMIWNMBAkOON3mddoSxpg+Y0zcPQY+Rnd/R82cBj5nH38OCESLd5sJhDZBoPQpcNoEqk/KXaPa1JkETp9Umx5cOqbnciOMMZ8B/hPwEPC/jTHTnud93PO8Hxhj/gA4A9SAX/U8r97Odb1HftMYcxKxdswB/6ita7MFPM+rGWO+ALwAhIDf9TzvB21era0yCvyxMQbkmPkfnud9q72rdG8YY34P+AgwbIy5DPxL4MvAHxhjfgn4IfAz7VvD7uIB0CYIiD4FVJtA9UlpgWpTdxFQfVJtekAxnqcWYUVRFEVRFEVRFGVrdLstVlEURVEURVEURekA9OJSURRFURRFURRF2TJ6cakoiqIoiqIoiqJsGb24VBRFURRFURRFUbaMXlwqiqIoiqIoiqIoW0YvLpV7xhhTN8ZM+25ftNP/iTEm1u71UxTlwUX1SVGUTkS1SQk6WopEuWeMMdc9z+tvMX0OOOV53sLOr5WiKIrqk6IonYlqkxJ0tOdS2VaMMb8GpIDvGGO+Y6d9xRgzZYz5gTHmX7d3DRVFeVBRfVIUpRNRbVKChPZcKveMMaYOzPgm/RvP836/ufXNGDPked6iMSYEvAj8mud5b+38GiuK8qCg+qQoSiei2qQEnXC7V0Dpasqe553cxHw/Y4z5PPJ72wdMAiqQiqLcT1SfFEXpRFSblECjF5fKfcUYcwj4p8Df8jzvfWPM14Ce9q6VoiiK6pOiKJ2JapPSzeiYS+V+UATi9vEAsAIsGWNGgR9v21opiqKoPimK0pmoNimBQHsula3Qa4yZ9j3/lud5XwS+CnzLGJPxPO+jxpg3gXeANPByG9ZTUZQHD9UnRVE6EdUmJdBooI+iKIqiKIqiKIqyZdQWqyiKoiiKoiiKomwZvbhUFEVRFEVRFEVRtoxeXCqKoiiKoiiKoihbRi8uFUVRFEVRFEVRlC2jF5eKoiiKoiiKoijKltGLS0VRFEVRFEVRFGXL6MWloiiKoiiKoiiKsmX04lJRFEVRFEVRFEXZMv8fIW0mWbI4Fn4AAAAASUVORK5CYII=\n",
 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          "text/plain": [
           "<Figure size 1080x360 with 6 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "compare_2d_plots('partPhiVsEta', 'Phi vs Eta comparison', 'Eta', 'Phi')"
    
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      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "# Beam effects\n"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 16,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": 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\n",
 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          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
    
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        "compare_before_after_pythia_1d(\"vtxX\", \"Vertex X\", \"x[mm]\", \"\")"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 17,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": 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\n",
 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          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
    
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        "compare_before_after_pythia_1d(\"vtxY\", \"Vertex Y\", \"y[mm]\", \"\")"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 18,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": 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\n",
 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          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
    
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        "compare_before_after_pythia_1d(\"vtxZ\", \"Vertex Z\", \"z[mm]\", \"\")"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 19,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": 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\n",
 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          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
    
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        "compare_before_after_pythia_1d(\"vtxT\", \"Vertex T\", \"t\", \"\")"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 20,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
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          "text/plain": [
           "<AxesSubplot:title={'center':'Vertex X distribution comparison'}, xlabel='[mm]', ylabel='Counts'>"
          ]
         },
         "execution_count": 20,
         "metadata": {},
         "output_type": "execute_result"
        },
        {
         "data": {
    
          "image/png": 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\n",
 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          "text/plain": [
           "<Figure size 720x576 with 2 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
    
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        "compare_divide(hist_name='vtxX', num_label=\"afterburner\", denom_label=\"pythia8 beam effects\", \n",
        "               title=\"Vertex X distribution comparison\", xlabel=\"vertex X\", file_name=\"vtx_x_comparison\", \n",
        "               ylim=(0, 2))"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 21,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
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          "text/plain": [
           "<AxesSubplot:title={'center':'Vertex Y distribution comparison'}, xlabel='[mm]', ylabel='Counts'>"
          ]
         },
         "execution_count": 21,
         "metadata": {},
         "output_type": "execute_result"
        },
        {
         "data": {
    
          "image/png": 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\n",
    
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          "text/plain": [
           "<Figure size 720x576 with 2 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
    
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        "compare_divide(hist_name='vtxY', num_label=\"afterburner\", denom_label=\"pythia8 beam effects\", \n",
        "               title=\"Vertex Y distribution comparison\", xlabel=\"vertex Y\", file_name=\"vtx_y_comparison\", \n",
        "               ylim=(0, 2))"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 22,
    
    Dmitry Romanov's avatar
    Dmitry Romanov committed
       "metadata": {},
       "outputs": [
        {
         "data": {
    
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    Dmitry Romanov committed
          "text/plain": [
           "<AxesSubplot:title={'center':'Vertex Z distribution comparison'}, xlabel='[mm]', ylabel='Counts'>"
          ]
         },
         "execution_count": 22,
         "metadata": {},
         "output_type": "execute_result"
        },
        {
         "data": {
    
          "image/png": 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\n",
 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          "text/plain": [
           "<Figure size 720x576 with 2 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
    
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        "compare_divide(hist_name='vtxZ', num_label=\"afterburner\", denom_label=\"pythia8 beam effects\", \n",
        "               title=\"Vertex Z distribution comparison\", xlabel=\"vertex Z\", file_name=\"vtx_z_comparison\", \n",
        "               ylim=(0, 2))"
    
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       ]
      },
    
      {
       "cell_type": "code",
       "execution_count": 23,
       "metadata": {},
       "outputs": [
        {
         "data": {
          "text/plain": [
           "<AxesSubplot:title={'center':'Vertex T distribution comparison'}, xlabel='[mm]', ylabel='Counts'>"
          ]
         },
         "execution_count": 23,
         "metadata": {},
         "output_type": "execute_result"
        },
        {
         "data": {
          "image/png": 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\n",
          "text/plain": [
           "<Figure size 720x576 with 2 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "compare_divide(hist_name='vtxT', num_label=\"afterburner\", denom_label=\"pythia8 beam effects\", \n",
        "               title=\"Vertex T distribution comparison\", xlabel=\"vertex T\", file_name=\"vtx_t_comparison\", \n",
        "               ylim=(0, 2))"
       ]
      },
    
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      {
       "cell_type": "code",
       "execution_count": null,
       "metadata": {},
       "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": "3.8.10"
      }
     },
     "nbformat": 4,
     "nbformat_minor": 4
    }