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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",
        "#/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",
    
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       "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",
    
          "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",
    
          "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",
    
          "Crossing angle hor: 0.025\n",
          "Crossing angle ver: 0.0001\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 = 3.5e-06\n",
          "   beta star       : hor = 1960, ver = 210\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",
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          "Events parsed: 80000\n",
          "Events parsed: 90000\n",
          "Events parsed: 100000\n",
          "Events parsed: 110000\n",
          "Events parsed: 120000\n",
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          "Events parsed: 200000\n",
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          "Events parsed: 250000\n",
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          "Events parsed: 300000\n",
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          "Events parsed: 400000\n",
          "Events parsed: 410000\n",
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          "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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          " /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",
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          "Events parsed: 60000\n",
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          "Events parsed: 80000\n",
          "Events parsed: 90000\n",
          "Events parsed: 100000\n",
          "Events parsed: 110000\n",
          "Events parsed: 120000\n",
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          "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",
    
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       "execution_count": 4,
    
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       "metadata": {},
    
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       "outputs": [],
    
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       "source": [
    
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        "# !ls -latrh\n",
    
        "# !rm *.root *.hepmc\n"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 5,
    
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       "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",
    
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       "execution_count": 6,
    
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       "metadata": {},
    
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       "source": [
    
        "# The next functions are used everywhere to compare plots\n",
        "\n",
    
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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",
        "def compare_divide(hist_name, title, xlabel, file_name, num_label=\"afterburner\", denom_label=\"pythia8 beam effects\", 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",
        "\n",
        "    # 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",
        "\n",
        "    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",
        "\n",
        "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",
    
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        "    \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",
    
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        "\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",
        "    file_name = (f'pics/{out_prefix}_{title}.png').replace(' ', '_').lower()\n",
        "    fig.savefig(file_name, dpi=224)"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "# Eta-Phi comparison"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 7,
    
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       "metadata": {},
    
          "image/png": 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wvZ4tR/O3+TsSEQdTzfo5GrgxM5+IiO+zuU3zXOArmflv5flXI2IN1ZKNz3e55Leo/n//GdWGLevL9R+nWvbRzVR8x/eOiCc3Ar2DqKad/5wqEDssq3WOnd5BNRPryMy8LyKeS5mOOgVlWgl8OjPftB3nd60fS5B20BjtyW7tsluAE6PaWf2tVCOjB3bmG1aO5A2xEhxcBby9kbwQ+PcR8fqImBHVJgNzmXj6wvbak2ru91pgRkT8NdWc9QlltenIcjZPg5jIZN7jzcAjUW1SsHtE7BwRh0fEH/T4Wl8pr/XGiHhS+fmDiHhWZv6W6tYHH4xqc5edo9pgZVeqz+G3VGsAAYhqkXi9cHk9VYXz23LsAKp58Tf1WC5plJ0EPEH1vX9u+XkW8C9Um7F0up/Gd5GqcfXmiDgyKk+OiFdGRLcZBU1nRcTsiNiHan1tvXnSD4DDIuK5UW3icN42vavtL580iq4APgb8pmNqXuf3fjKeTPV/9FqAiDiDaiSvdgvwyoj4vfIdfTnVOrkfjXG9f6UKmo4Abs7MpZSZQmzeqK3T/cCc0qG8Pc6PiF1KZ/yrgH8o7Zf/C3woIn4HqnZIRBxbztmTKgh8qNR3C7azDE1/D5wQEceWdtNuUW16M3vCMyvj1Y83U62zu7Ck7xYRLyrn3Q/MjohdAMpn8oaIeGpm/gbYQGmTtYVB3vC7gKoyAqp51FRf4ndQLWR9F/CqxpSmHWUR1Ujav1FNB3iMyU0nuohqqsWEJvMeM/OJkve5wN1UvVefpJpK2strPQIcQzVP/V6qaRJ/SzVqAPBO4HaqCn9dObZTZj5KNYf9u2U6wVFU6wMXR8QvqBY7n52b70H4euDyHqaZSKqmZV6amT/LzPvqH6qG3hvYepbKecDl5bt4cmYuoRpV/xhVh8tyqkX5E/ks8DWqzZt+CrwfoPTmXwD8M9W6ne26F9N2lE8aRZ+mCsA67yn3Kar1Vg9FxD9O5oKZuYxq5O1GquDg2VTr6GpXAFdSTbvcAHwU+PPM/PEY1/sl1cyrpZn565J8I9XUwgfGKMY/lH8fjIhtXSt2H1Udci/V3gZvbpTxHKq65aYyJfOf2byPwoepNnb5OVXn85TNBsvMlcCJVEtn1lK1Ff87PcYk49WPpc13AvAMqlHTVVSb5gB8g2rTnvsiom4vvhFYUd7/m6n+/2iN6LJGVJp2ZfTre8DROf03RO+r8t5/APzROJW9JEnqUKZvP0C1M+JP+l0eaVAY5EmSJGkoRcRfUs3meWm/yyINEjdekSRJ0tCJiBVUm4Gc1N+SSIPHkTxJkiRJahE3XpEkSZKkFjHIkyRJkqQWGdo1eU9/+tNzzpw5/S6GpCl06623/jwzZ/W7HNvDuklqH+smSYNqrPppaIO8OXPmsGTJkn4XQ9IUioh7+l2G7WXdJLWPdZOkQTVW/eR0TUmSJElqEYM8SZIkSWoRgzxJkiRJahGDPEmSJElqEYM8SZIkSWoRgzxJkiRJahGDPEmSJElqEYM8SZIkSWoRgzxJkiRJahGDPEmSJElqEYM8SZIkSWqRGf0ugKThdP61S/n8rasAePULZrPghMP6XCJJ2rpuAlh274ZNx5et2bDpmPVWd83PsObnJQ0Xg7wR0u0/vvr53P1mMnf/mQNfge/IwGIQgpbtLcNY559/7VKW3bthuxs3zes/8thGAHaOLRtQ6k3zs5y738xNv5uaDSpp2yy7dwOPPr6RJxIu/e6KTel77ra5yfPo4xutt8ZRf4Z77Fp9Zn5e0tTqbAPA1HdAjUyQt729Ur2cP1U9X2NdB5iwUThWnle/YPamShs2N8rrSrzON5kgo1s5O19zqhqp9Wt1CyzG+7ya/yk1g9hu53Reu5fPYrzf+bb8HnsJnMYrV+fvuPNz23O3GZv+s57M32vndY48ZJ+q/PvPHPf3MCydB/3Q2YhqVvI2qKTtM2/OPszdf+aYdeUpF93Yr6INjXlz9uGqP38hUH1ey9Zs4JSLbrROl6ZAsw3QbAdO5f//rQ/yujVyoWpMX/rdFVs1SjvVDa/Fd68b8/y6od75Gt0a03WjF5iwod6tB62Z3lSXp9bssayP7RxVpQ2wZEX1fupK/JSLbmTJinWb3iew1eczVtA4Xnk6z9/0HhvX6fws6s+gW/Cz524zNr12L5/XkhXrtijfWH8PUAUuddCybM2Grp9FZwA33t/VWMdqzdduptXvb8mKdTz7vEVbfW71dZvlqn83jz6+cdPvuPnZ1NddcMJhW/2uO/9em59T/Tvpdp1a3Vjq9vfQ2RGhLTUbUU317+jZ5y1yRE/aRgtOOMzvzhSZu3/1f0zddpDUu3o2Va3ZXutsA0xlB1Trg7yxGqed09fGvcaaDV3P7wwQO/N0a0wvvnvLQAq2DqZg6x60bulN443ubBFk7r/lkHD9vK7A6/OBMQPgZjDQS3lqm16zBC2dQQ+MPbWm22fb1Pl5dQtiYey/h86yN3/n9WcxVgA31t/VeH8zvYySNv82m487y9W0x64zNgWqnZ9BrfN33e0zrX+/nR0E3X7XsHWnQc3e8m1T/44c0ZN6V9exnZ1d2n51wNzsgHKmhtSbuk22x64zNrWB6/bajtT6IA+6N063t1LqpYewW2N6vHVxm85rjPbVmo3oyZan27FuzyfKU+sMoiZbntp4n0Uvoxf1fzSw5Shh83Nvfo5jBSK9lL3+3Y0VwDXzTea625t3rDzNILHzb2m8ay9bs4Fnn7doUyOpOd1prMporM9b265bg8oRPWl8zdkE1kU7RrO+rzutm7NcJHU3UdtzR5gwyIuIZwJXNZJ+D/hr4IqSPgdYAZycmesjIoCPAK8AHgVOz8zbyrVOA95brvP+zLy8pL8AuAzYHVgInJ2ZuZ3vre/GChYmExjA4DWip6o82/JZdC1DR1Dc7bpTUeZh+g9sW6YpNUd560ZSL9dxStSO44ieNDn9aEiNkmZ93+z4tH6Sttb8jjQHI6bLhEFeZt4JPBcgInYGVgNfAs4Fvp6ZF0bEueX5OcDxwKHl50jgE8CREbEPsACYByRwa0Rck5nrS543AYupgrzjgOum7m0Ot0FrRA9CeSZbhkEo86Dz8xk8TpGSNKg6l6Y440Da0hbTNPswSDPZ6ZpHAz/NzHsi4kTgJSX9cuAGqiDvROCKMhJ3U0TsFRH7lbzXZ+Y6gIi4HjguIm4AZmbmTSX9CuAkDPIkCdhyJNrNbKTxNzLQ9GrOAnFET9pSP2cXTDbIey3wufJ438xcUx7fB+xbHh8ArGycs6qkjZe+qku6JIktR6LdylzaeiODeirUICxpGDVjbYgmjapB2QSq5yAvInYB/gR4d+exzMyI2OFr6CJiPjAf4KCDDtrRLydJA8etzKWK6+8Gj9M2JbbYgb6fHU+TGck7HrgtM+8vz++PiP0yc02ZjvlASV8NHNg4b3ZJW83m6Z11+g0lfXaX/FvJzIuBiwHmzZs39BuzSNJkNdfpOaKnUdPvjQw0NjeK0ihr1k1j3QNvuu00ibyvY/NUTYBrgNPK49OALzfST43KUcDDZVrnIuCYiNg7IvYGjgEWlWMbIuKosjPnqY1rSZK6qHsHl6xYZ4NKI6N5D1CnZg6WBSccxu3nHcu8OftsGtE7/9ql/S6WNC2a994elNu49DSSFxFPBl4O/Hkj+ULg6og4E7gHOLmkL6S6fcJyqlsonAGQmesi4n3ALSXfBfUmLMBb2HwLhetw0xVJGldzRE8aJYPQQ66x1SN6jzy2kUu/u2JS97+Vhk3n+rtBqpt6CvIy85fA0zrSHqTabbMzbwJnjXGdS4BLuqQvAQ7vpSySpC25DkbSoKg7oDqnrznjQG207N7q73tQRu+aJru7piRpgLh9uUbBoOxWp941O5yccaA2G7QRvJpBniQNMbcvV5vVwd0jj20EYM/dBq+3XJIGkUGeJEkaSPVUqD13m+F0ZEmaBIM8SWqJem3e3P1melsFtcagToWSNLqGYQq5QZ4ktUC9ox2w6V9pGNWNp5r3w2sHN4hSmwzKDc/HY5AnSS1Q72gHrs/TcNtit7oyKq3h5o3S1UZz95s50LMMDPIkqYXsNdcwc4pmu3hfT2n67dTvAkiSptbc/Weyx64z7DWXNHDqDqjzr13a76JIk3b+tUt59nmLWLJiXb+LMiGDPElqmQUnHMbt5x07sIvBJY2mufvP3FQv2QGlYTTINz/v5HRNSZLUd8OwW522T3PdsFPKNUw666dhmE5ukCdJLWZDSoPu/GuXsuzeDSy+u5r+5A3P26/+/S5bs8ERPQ2s5k6/jzy2ERiu+skgT5JayoaUhsGyezewZMU6b3g+QtwJWMOgOTXzyEP2Gbr7zxrkSVJLOTVKw2JYpj9p6i1bs2FTsDdsjWi13zDXTQZ5ktRy3qNK0iBqzjZ49PGNfS6N1C4GeZLUct6jStIgao7aWT9pULRlEyhvoSBJkiRJDNdtEsbjSJ4kjZB6bd7c/Wa6/kV9Ve+quWzNBubuN7wNKU2den2edZP6bZjX4tUcyZM0tCLiv0XE0oj4UUR8LiJ2i4hDImJxRCyPiKsiYpeSd9fyfHk5PqdxnXeX9Dsj4thG+nElbXlEnNuHtzil5u4/kz12rfr23HFT/VbvqgkMdW+5pkb9N7BkxTrrJmkKGORJGkoRcQDwdmBeZh4O7Ay8Fvhb4EOZ+QxgPXBmOeVMYH1J/1DJR0TMLecdBhwH/F1E7BwROwMfB44H5gKvK3mH1oITDuP2847l9vOOdeREA2HenH24/bxjHbXRpvppmNdASYPEIE/SMJsB7B4RM4A9gDXAS4HPl+OXAyeVxyeW55TjR0dElPQrM/PxzLwbWA4cUX6WZ+Zdmflr4MqSV9I2Ov/apZxy0Y08+7xFm0bx2sqZBtuunlZ+/rVL+10UjZDzr13aqrrJIE/SUMrM1cD/BH5GFdw9DNwKPJSZ9V7cq4ADyuMDgJXl3I0l/9Oa6R3njJUuaRvVa/CAod/UYDzONNh29bRyb/mi6Vb/vc2bs08r6iY3XpE0lCJib6qRtUOAh4B/oGoE9aMs84H5AAcddFA/irBNvEG6pkvnJivDvqFBj+qZBr9hy5kGry/HLwfOAz5BVZedV9I/D3ysc6YBcHdE1DMNoMw0AIiIeqbBsh38nnY4b/mi6dbW+smRPEnD6mXA3Zm5NjN/A3wReBGwV5m+CTAbWF0erwYOBCjHnwo82EzvOGes9K1k5sWZOS8z582aNWsq3tsON3f/mcybsw+PPLaRS7+7glMuutGpUdphRm2TFWcaTA2nbWo6tLV+ciRP0rD6GXBUROwB/Ao4GlgCfBN4NdUautOAL5f815TnN5bj38jMjIhrgM9GxAeB/YFDgZuBAA6NiEOogrvXsrkHfujVI3f1TV/bsgZBg6sNW5L3alBmGgzrLAOoGtvL1mxw2qamRRvrJ0fyJA2lzFxMNa3pNuB2qvrsYuAc4C/LtKanAZ8qp3wKeFpJ/0vg3HKdpcDVVNOcvgqclZlPlN70twKLgDuAq0veVnFHO2mHGIiZBsM4y6Bm3SRtH0fyJA2tzFwALOhIvovNa1aaeR8DXjPGdT4AfKBL+kJg4faXVNKIcaaBNMDqWSy1Nt5WyCBPkgS4EYumXt2QevTxjSM1IpOZiyOinmmwEfge1UyDfwKujIj3l7TmTINPl5kG66iCNjJzaUTUMw02UmYaAEREPdNgZ+CSNs40kHaUegpwHdy1aS1eracgLyL2Aj4JHA4k8KfAncBVwBxgBXByZq4vu0F9BHgF8ChwembeVq5zGvDectn3Z+blJf0FwGXA7lS95mdnZm73u5Mk9cT1L9oR2rYl+WQ400AaPG3dSbObXtfkfQT4amb+PvAcqvUp5wJfz8xDga+X51Dds+XQ8jOfamtgImIfqsruSKoKbkFZmEzJ86bGeX3ZBl2SRpXrX7Sj1A0pR4e1rZat2cCzz1vkTpvabm3dSbObCUfyIuKpwB8BpwNk5q+BX0fEicBLSrbLgRuoNjw4EbiijMTdFBF7RcR+Je/1mbmuXPd64LiIuAGYmZk3lfQrgJOA66biDUqSJsdpm5IGRd0QX7Zmw6Zbviy7dwNz959p/aRt0sadNLvpZbrmIcBa4NKIeA7VfV7OBvbNzDUlz33AvuXxZO/pckB53JkuSZpmTtvUVBjVtXiaes1Azlu+SL3rZbrmDOD5wCcy83nAL9k8NROAMmq3w9fQRcT8iFgSEUvWrl27o19OkkaO0zY1FUZ5LZ52HOsnqXe9jOStAlaVe1JBdV+qc4H7I2K/zFxTpmM+UI6Pd0+Xl3Sk31DSZ3fJv5XMvJhqdyrmzZvnxiySJA2IekMDYCQ2NZA0PEZxdsGEI3mZeR+wMiKeWZKOptrKt76nC2x9r5dTo3IU8HCZ1rkIOCYi9i4brhwDLCrHNkTEUWVnzlMb15IkSUOg3rFu2ZqyNbkjeNqB6rXDbsSiXiy7t1qGsMeuM0ambur1PnlvAz4TEbtQbf97BlWAeHVEnAncA5xc8i6kun3CcqpbKJwBkJnrIuJ9wC0l3wX1JizAW9h8C4XrcNMVSeq7ekc7wE1Y1BNH7zQdXDusbTEqG67UegryMvP7wLwuh47ukjeBs8a4ziXAJV3Sl1Ddg0+SNACaO9rZkJI0SBaccBgLTjiMUy660d2ApTH0OpInSRohzcaSDSmNp/PmwtJ0aXZG2RGlbkZxLV6t15uhS5JG1Nz9Z7LHrjMc0VNXo3RzYQ2WBSccxlV//kI7FzSmUd7p15E8SdK4mlOjlq3ZwCkX3eiNiLVVD/korXWRNDxGda2wQZ4kqSf1ZgfeiFgwmrvVaXDVU8rn7jfTTqgR15xCPorTNGsGeZKknjRH9CQYvd3qNJianQz1LTw0ujrXCI9qJ5RBniRp0tyIZXSN8kYGGkydG0VJozpFs8mNVyRJk+JGLKPNaZoadPXaYW+UPlrOv3Ypzz5vkUsKCkfyJEmT4rTN0dRc5+I0TQ0q1w6PLjugtmSQJ0mSJlTfKsEGlAaZnVCjx51+uzPIkyRJPbEBpWHiLV9GwyjfC288BnmSpG1WN6Lqx4CbsUjqu3ra5uK717H47nUsu3eDwV6LudHK1gzyJEnbpO4xbW5Z7mYs7VJPg6rVW5JLg66etln/DbtGr32a64Stm7ZmkCdJ2ibdesRdB9MuW2xkUG4yLQ0T1+i1l+uEx2eQJ0mSxuQ6PEmDojl650Yr4zPIkyRJW/CG52qj5hpi1+cNp87pmY7gjc0gT5I0pZasWMezz1vkBixDqO4lX3x3tX5pz92cBqV2qDdiaa4h1nByk5XeGORJkqZMczMWN2AZPvUalz13m2GQrlap1+ZBtXbYzqjh4uyCyTPIkyRNGRtRw881Lmo7O6OGzxabQDm7oCcGeZKkKVdPjfKWCsPBXnKNEjujhpMdUJOzU78LIElqnwUnHMbt5x3LvDn7bGpEnXLRjZx/7dJ+F01d2EuuUTR3/5nssesMO6PUSo7kSZJ2mHpED3DDgwFTb7IC1e/GXnKNGu+hN/icZbDtDPIkSTuMmx0Mri1uJOyNzjXi6tsreGuFwVAHd488thGAIw/ZxzpqkgzyJEnTws0OBo+jd9LmGQeL717H4rvXsezeDQZ7fVZPIXen321nkCdJmhaO6A2Geppm84bC0iirZxzUo0dLVqzrd5FGklPIp5ZBniRpWrnzZn9tMU3T6U/SJq7R6486uFt8dxVc77lbFZ5YP20fgzxJ0rRqNqQc0esPe8glDYq648mpmVOrpyAvIlYAjwBPABszc15E7ANcBcwBVgAnZ+b6iAjgI8ArgEeB0zPztnKd04D3lsu+PzMvL+kvAC4DdgcWAmdnZk7B+5MkDSjX6E0vd6mTeldvxAK4Pm8a2PE09SYzkvfHmfnzxvNzga9n5oURcW55fg5wPHBo+TkS+ARwZAkKFwDzgARujYhrMnN9yfMmYDFVkHcccN12vTNJ0kBrrtGzQbXjuEudNDnNDqhHH9/Y59K0l+uDd6ztma55IvCS8vhy4AaqIO9E4IoyEndTROwVEfuVvNdn5jqAiLgeOC4ibgBmZuZNJf0K4CQM8iRpJNRr9Jat2cAjj210d7spVo+S1sGdn6k0vuZ3pNkJ5fdnark+eMfqNchL4GsRkcBFmXkxsG9mrinH7wP2LY8PAFY2zl1V0sZLX9UlXZI0Apr30nN3ux1j7n4znQolbYNut1dYtqbqOHH92LZpjuA5TXPH6TXIe3Fmro6I3wGuj4gfNw9mZpYAcIeKiPnAfICDDjpoR7+cJGmaubvd9mluQV5zKpS07Tpvr1AHeO4OPHnddtF0BG/H6SnIy8zV5d8HIuJLwBHA/RGxX2auKdMxHyjZVwMHNk6fXdJWs3l6Z51+Q0mf3SV/t3JcDFwMMG/ePDdmkaQWc+fNyWtOf6rN3W+mDSlpOzVnHAB2RG0Dd9GcXhMGeRHxZGCnzHykPD4GuAC4BjgNuLD8++VyyjXAWyPiSqqNVx4ugeAi4G8iYu+S7xjg3Zm5LiI2RMRRVBuvnAr876l7i5KkYVNPkXrksY1c+t0VrtGbBKc/SdPDDaMmVo+A1qyfpk8vI3n7Al+q7ozADOCzmfnViLgFuDoizgTuAU4u+RdS3T5hOdUtFM4AKMHc+4BbSr4L6k1YgLew+RYK1+GmK5I00jqnSLlGb3zuUidNr+YOnG4YNbZ6SmtdLzmrYPpMGORl5l3Ac7qkPwgc3SU9gbPGuNYlwCVd0pcAh/dQXknSCGmu0bPXfGudt0dwjYs0PZr1j51RW+vseHL0bvptzy0UJEmaFs3bLGizZfdW9/FyjYvUP24YtTVvj9B/BnmSpIHX3PTglItuHMlNWZprW+buN3PTjZpd4yINjlGsm2DrtXfWTf1nkCdpaEXEXsAnqaZ7J/CnwJ3AVcAcYAVwcmauj2ph8Ueo1gw/CpyembeV65wGvLdc9v2ZeXlJfwGb1wsvBM4uU9LVR52bsnz+1lWtblB1m5JZs5dcGhz1d3Hx3es21U3NNbJtnmZezyqod/a1buo/gzxJw+wjwFcz89URsQuwB/Ae4OuZeWFEnAucC5wDHA8cWn6OBD4BHBkR+wALgHlUgeKtEXFNZq4ved5EtfPvQuA43Biq7zo3ZWn7/aqckjmc7IQaPfV3s/N+lW3dnMWdMwebQZ6koRQRTwX+CDgdIDN/Dfw6Ik5k8z05L6e6H+c5wInAFaURdFNE7FXu8fkS4Pp6t9+IuB44LiJuAGZm5k0l/QrgJAzyBkZzHUwbp0g1Ny6w8TSU7IQaUd3qoDZtztJ1wyfvxzlwDPIkDatDgLXApRHxHOBW4Gxg38xcU/LcR3UbGIADgJWN81eVtPHSV3VJ14CZaIpUvVnLsAWAblwwvOyEUqfOzVmao33DNrLn7ILhYJAnaVjNAJ4PvC0zF0fER6h6xTfJzIyIHT59KSLmA/MBDjrooB39cuow3hQp2LxJySBP6XRTldaxE0pjWrJiHYvvrkb0do4+F6YHbqoynAzyJA2rVcCqzFxcnn+eKsi7PyL2y8w1pSf8gXJ8NXBg4/zZJW01m3vW6/QbSvrsLvm3kpkXAxcDzJs3zzUxfTJeb/KgTumsA9O6wXfkIfsA3ji4BQaiE8oOqMHT/E7P3X/mphH7Z5+3aKtNWoBpH+0baz0hbK6fmuXT4DLIkzSUMvO+iFgZEc/MzDuBo4Fl5ec04MLy75fLKdcAb42IK6nWvDxcAsFFwN9ExN4l3zHAuzNzXURsiIijqNa8nAr872l7g5pSnTty9nvzg25rWgYp+NR2G4hOKDugBk/nd/z8a5du8by5SUttR472dQZ19etuWmfX6HCyfhouBnmShtnbgM+UTQ3uAs4AdgKujogzgXuAk0vehVQ71y2n2r3uDIASzL0PuKXku6Be/wK8hc27112H612GVueOnIvvrqZL1VOQXv2Cqr082V7zzgZSre7lbk7BbGo2pAzu2sdOKPVqvE1aoKqbOkf7mlPRYfIBWHNTp85bs1gntYdBnqShlZnfp9p1rtPRXfImcNYY17kEuKRL+hKq7c/VEs1grw7O6g1banWveec6uU6dDaS68dXZC7/nbjO2Wh9oQ2ok2AmlbVLXU7Xzr126qQ5p6rw1Q2fw15m31jn90lG6djLIkySNnK0aUI0RvLrXvDnaBmzVyBqrF32Yd83T1LETSlOlM+hrqjujOuunseorO5lGh0GeJGmkdVsjsz23XbDhJGm6jBcAarQZ5EmS1GCjSZI07HbqdwEkSZIkSVPHIE+SJEmSWsQgT5IkSZJaxCBPkiRJklrEIE+SJEmSWsQgT5IkSZJaxCBPkiRJklrEIE+SJEmSWsQgT5IkSZJaxCBPkiRJklrEIE+SJEmSWsQgT5IkSZJaxCBPkiRJklqk5yAvInaOiO9FxFfK80MiYnFELI+IqyJil5K+a3m+vByf07jGu0v6nRFxbCP9uJK2PCLOncL3J0mSJEkjZTIjeWcDdzSe/y3wocx8BrAeOLOknwmsL+kfKvmIiLnAa4HDgOOAvyuB487Ax4HjgbnA60peSZIkSdIk9RTkRcRs4JXAJ8vzAF4KfL5kuRw4qTw+sTynHD+65D8RuDIzH8/Mu4HlwBHlZ3lm3pWZvwauLHklSZIkSZPU60jeh4F3Ab8tz58GPJSZG8vzVcAB5fEBwEqAcvzhkn9Tesc5Y6VLkiRJkiZpwiAvIl4FPJCZt05DeSYqy/yIWBIRS9auXdvv4kiSJEnSwOllJO9FwJ9ExAqqqZQvBT4C7BURM0qe2cDq8ng1cCBAOf5U4MFmesc5Y6VvJTMvzsx5mTlv1qxZPRRdkiRJkkbLhEFeZr47M2dn5hyqjVO+kZlvAL4JvLpkOw34cnl8TXlOOf6NzMyS/tqy++YhwKHAzcAtwKFlt85dymtcMyXvTpIkSZJGzIyJs4zpHODKiHg/8D3gUyX9U8CnI2I5sI4qaCMzl0bE1cAyYCNwVmY+ARARbwUWATsDl2Tm0u0olyRJkiSNrEkFeZl5A3BDeXwX1c6YnXkeA14zxvkfAD7QJX0hsHAyZZEkSZIkbW0y98mTJEmSJA04gzxJkiRJahGDPEmSJElqEYM8SZIkSWoRgzxJkiRJahGDPEmSJElqEYM8SZIkSWoRgzxJkiRJahGDPEmSJElqEYM8SZIkSWoRgzxJkiRJahGDPEmSJElqEYM8SZIkSWoRgzxJkiRJahGDPEmSJElqEYM8SZIkSWoRgzxJkiRJahGDPEmSJElqEYM8SZIkSWoRgzxJkiRJahGDPEmSJElqEYM8SZIkSWoRgzxJQy0ido6I70XEV8rzQyJicUQsj4irImKXkr5reb68HJ/TuMa7S/qdEXFsI/24krY8Is6d9jcnSZK0DQzyJA27s4E7Gs//FvhQZj4DWA+cWdLPBNaX9A+VfETEXOC1wGHAccDflcBxZ+DjwPHAXOB1Ja8k9cROKEn9YpAnaWhFxGzglcAny/MAXgp8vmS5HDipPD6xPKccP7rkPxG4MjMfz8y7geXAEeVneWbelZm/Bq4seSWpV3ZCSeoLgzxJw+zDwLuA35bnTwMeysyN5fkq4IDy+ABgJUA5/nDJvym945yx0rcSEfMjYklELFm7du12viVJbWAnlKR+mjDIi4jdIuLmiPhBRCyNiPNLulMOJPVNRLwKeCAzb+13WTLz4sycl5nzZs2a1e/iSBoMH6bPnVB2QEmjq5eRvMeBl2bmc4DnAsdFxFE45UBSf70I+JOIWEHVi/1S4CPAXhExo+SZDawuj1cDBwKU408FHmymd5wzVrokjWtQOqHsgJJG14RBXlZ+UZ4+qfwkTjmQ1EeZ+e7MnJ2Zc6g6kL6RmW8Avgm8umQ7DfhyeXxNeU45/o3MzJL+2jIL4RDgUOBm4Bbg0DJrYZfyGtdMw1uTNPzshJLUVz2tySsjbt8HHgCuB35KH9a9SFIPzgH+MiKWU9U9nyrpnwKeVtL/EjgXIDOXAlcDy4CvAmdl5hOl/norsIhq44SrS15JGpedUJL6bcbEWSAznwCeGxF7AV8Cfn9HFmosETEfmA9w0EEH9aMIkgZQZt4A3FAe30U1Q6Azz2PAa8Y4/wPAB7qkLwQWTmFRJY22c4ArI+L9wPfYshPq06UTah1V0EZmLo2IuhNqI6UTCiAi6k6onYFL7ISS1NRTkFfLzIci4pvACylTDkpvd7cpB6t6nHLAOOmdr38xcDHAvHnzcjJllyRJmm52Qknqh15215xVRvCIiN2Bl1NNXXLKgSRJkiQNmF5G8vYDLi+7YO5EtS7lKxGxDKccSJIkSdJAmTDIy8wfAs/rku6UA0mSJEkaMD3trilJkiRJGg4GeZIkSZLUIgZ5kiRJktQiBnmSJEmS1CIGeZIkSZLUIgZ5kiRJktQiBnmSJEmS1CIGeZIkSZLUIgZ5kiRJktQiBnmSJEmS1CIGeZIkSZLUIgZ5kiRJktQiBnmSJEmS1CIGeZIkSZLUIgZ5kiRJktQiBnmSJEmS1CIGeZIkSZLUIgZ5kiRJktQiBnmSJEmS1CIGeZIkSZLUIgZ5kiRJktQiBnmSJEmS1CIGeZIkSZLUIgZ5kiRJktQiBnmSJEmS1CIGeZIkSZLUIgZ5kiRJktQiEwZ5EXFgRHwzIpZFxNKIOLuk7xMR10fET8q/e5f0iIiPRsTyiPhhRDy/ca3TSv6fRMRpjfQXRMTt5ZyPRkTsiDcrSZIkSW3Xy0jeRuAdmTkXOAo4KyLmAucCX8/MQ4Gvl+cAxwOHlp/5wCegCgqBBcCRwBHAgjowLHne1DjvuO1/a5IkSZI0eiYM8jJzTWbeVh4/AtwBHACcCFxesl0OnFQenwhckZWbgL0iYj/gWOD6zFyXmeuB64HjyrGZmXlTZiZwReNakiRJkqRJmNSavIiYAzwPWAzsm5lryqH7gH3L4wOAlY3TVpW08dJXdUmXJEmSJE1Sz0FeRDwF+ALwF5m5oXmsjMDlFJetWxnmR8SSiFiydu3aHf1ykiRJkjR0egryIuJJVAHeZzLziyX5/jLVkvLvAyV9NXBg4/TZJW289Nld0reSmRdn5rzMnDdr1qxeii5JkiRJI6WX3TUD+BRwR2Z+sHHoGqDeIfM04MuN9FPLLptHAQ+XaZ2LgGMiYu+y4coxwKJybENEHFVe69TGtSRJkiRJkzCjhzwvAt4I3B4R3y9p7wEuBK6OiDOBe4CTy7GFwCuA5cCjwBkAmbkuIt4H3FLyXZCZ68rjtwCXAbsD15UfSZIkSdIkTRjkZeZ3gLHuW3d0l/wJnDXGtS4BLumSvgQ4fKKySJIkSZLGN6ndNSVJkiRJg80gT5IkSZJaxCBPkiRJklrEIE+SJEmSWsQgT5IkSZJaxCBPkiRJklrEIE/SUIqIAyPimxGxLCKWRsTZJX2fiLg+In5S/t27pEdEfDQilkfEDyPi+Y1rnVby/yQiTmukvyAibi/nfDQixrqdjCRJ0sAwyJM0rDYC78jMucBRwFkRMRc4F/h6Zh4KfL08BzgeOLT8zAc+AVVQCCwAjgSOABbUgWHJ86bGecdNw/uSNOTshJLUbwZ5koZSZq7JzNvK40eAO4ADgBOBy0u2y4GTyuMTgSuychOwV0TsBxwLXJ+Z6zJzPXA9cFw5NjMzb8rMBK5oXEuSxmMnlKS+MsiTNPQiYg7wPGAxsG9mrimH7gP2LY8PAFY2TltV0sZLX9UlXZLGZSeUpH4zyJM01CLiKcAXgL/IzA3NY6Xxk9NQhvkRsSQilqxdu3ZHv5ykIWInlKR+MMiTNLQi4klUAd5nMvOLJfn+0stN+feBkr4aOLBx+uySNl767C7pW8nMizNzXmbOmzVr1va9KUmt0e9OKDugpNFlkCdpKJVNBj4F3JGZH2wcugaoNyc4DfhyI/3UssHBUcDDpUd9EXBMROxd1rocAywqxzZExFHltU5tXEuSxjUInVB2QEmjyyBP0rB6EfBG4KUR8f3y8wrgQuDlEfET4GXlOcBC4C5gOfB/gbcAZOY64H3ALeXngpJGyfPJcs5Pgeum441JGm52Qknqtxn9LoAkbYvM/A4w1pbhR3fJn8BZY1zrEuCSLulLgMO3o5iSRlPdCXV7RHy/pL2HqtPp6og4E7gHOLkcWwi8gqpD6VHgDKg6oSKi7oSCrTuhLgN2p+qAshNK0iYGeZIkSVPITihJ/eZ0TUmSJElqEYM8SZIkSWoRgzxJkiRJahGDPEmSJElqEYM8SZIkSWoRgzxJkiRJahGDPEmSJElqEYM8SZIkSWoRgzxJkiRJahGDPEmSJElqkQmDvIi4JCIeiIgfNdL2iYjrI+In5d+9S3pExEcjYnlE/DAint8457SS/ycRcVoj/QURcXs556MREVP9JiVJkiRpVPQykncZcFxH2rnA1zPzUODr5TnA8cCh5Wc+8AmogkJgAXAkcASwoA4MS543Nc7rfC1JkiRJUo8mDPIy89vAuo7kE4HLy+PLgZMa6Vdk5SZgr4jYDzgWuD4z12XmeuB64LhybGZm3pSZCVzRuJYkSZIkaZK2dU3evpm5pjy+D9i3PD4AWNnIt6qkjZe+qku6JEmSJGkbbPfGK2UELqegLBOKiPkRsSQilqxdu3Y6XlKSJEmShsq2Bnn3l6mWlH8fKOmrgQMb+WaXtPHSZ3dJ7yozL87MeZk5b9asWdtYdEmSJElqr20N8q4B6h0yTwO+3Eg/teyyeRTwcJnWuQg4JiL2LhuuHAMsKsc2RMRRZVfNUxvXkiRJkiRN0oyJMkTE54CXAE+PiFVUu2ReCFwdEWcC9wAnl+wLgVcAy4FHgTMAMnNdRLwPuKXkuyAz681c3kK1g+fuwHXlR5IkSZK0DSYM8jLzdWMcOrpL3gTOGuM6lwCXdElfAhw+UTkkSZIkSRPb7o1XJEmSJEmDwyBPkiRJklrEIE+SJEmSWsQgT5IkSZJaxCBPkiRJklrEIE+SJEmSWsQgT5IkSZJaxCBPkiRJklrEIE+SJEmSWsQgT5IkSZJaxCBPkiRJklrEIE+SJEmSWsQgT5IkSZJaxCBPkiRJklrEIE+SJEmSWsQgT5IkSZJaxCBPkiRJklrEIE+SJEmSWsQgT5IkSZJaxCBPkiRJklrEIE+SJEmSWsQgT5IkSZJaxCBPkiRJklrEIE+SJEmSWsQgT5IkSZJaxCBPkiRJklrEIE+SJEmSWmRggryIOC4i7oyI5RFxbr/LI0lg3SRpcFk/SRrLQAR5EbEz8HHgeGAu8LqImNvfUkkaddZNkgaV9ZOk8QxEkAccASzPzLsy89fAlcCJfS6TJFk3SRpU1k+SxjQoQd4BwMrG81UlTZL6ybpJ0qCyfpI0phn9LsBkRMR8YH55+ouIuLPXc69+81ZJTwd+PjUl226DVBawPOMZpLLAkJSny/dvLAdPZWGmS4vrJhis8gxSWcDyjGeQygLWTTDJugkGvn4apLLAYJVnkMoClmc821s3wRj106AEeauBAxvPZ5e0LWTmxcDFU/GCEbEkM+dNxbW21yCVBSzPeAapLGB5psFI100wWOUZpLKA5RnPIJUFBq88U2TC+mkq6yYYrM9xkMoCg1WeQSoLWJ7x7MiyDMp0zVuAQyPikIjYBXgtcE2fyyRJ1k2SBpX1k6QxDcRIXmZujIi3AouAnYFLMnNpn4slacRZN0kaVNZPksYzEEEeQGYuBBZO40tO2fSFKTBIZQHLM55BKgtYnh1uxOsmGKzyDFJZwPKMZ5DKAoNXnikx4vXTIJUFBqs8g1QWsDzj2WFliczcUdeWJEmSJE2zQVmTJ0mSJEmaAiMd5EXE+yLihxHx/Yj4WkTs38ey/I+I+HEpz5ciYq9+laWU5zURsTQifhsRfdmBKCKOi4g7I2J5RJzbjzI0ynJJRDwQET/qZzlKWQ6MiG9GxLLyOzq7z+XZLSJujogflPKc38/ytMEg1U2lPANTPw1C3VTKYf3UvSzWTy1m3TRhefpeP1k3jVmWkaubRnq6ZkTMzMwN5fHbgbmZObk7U0xdWY4BvlEWUv8tQGae04+ylPI8C/gtcBHwzsxcMs2vvzPwb8DLqW7wegvwusxcNp3laJTnj4BfAFdk5uH9KEOjLPsB+2XmbRGxJ3ArcFIfP5sAnpyZv4iIJwHfAc7OzJv6UZ42GKS6qZRhYOqnftdNpQzWT2OXxfqpxaybJiyPbacty2PdNHZ5dnjdNNIjeXVFVTwZ6FvEm5lfy8yN5elNVPe76ZvMvCMzJ3XT1Cl2BLA8M+/KzF8DVwIn9qswmfltYF2/Xr8pM9dk5m3l8SPAHcABfSxPZuYvytMnlZ/R7T2aAoNUN8Fg1U8DUDeB9dOYrJ/azbppwvL0u36ybhrDKNZNIx3kAUTEByJiJfAG4K/7XZ7iT4Hr+l2IPjsAWNl4voo+fhkHVUTMAZ4HLO5zOXaOiO8DDwDXZ2Zfy9MGA1o3gfUTWD/1xPqpnaybBpp1Uw9GpW5qfZAXEf8cET/q8nMiQGb+VWYeCHwGeGs/y1Ly/BWwsZRnh+qlPBpcEfEU4AvAX3T0rk67zHwiM59L1Yt6RET0dVrGMBikuqmX8pQ801I/WTcNP+un4WXdtP3l0eAapbppYO6Tt6Nk5st6zPoZqnvNLOhXWSLidOBVwNE5DYslJ/HZ9MNq4MDG89klTUCZv/0F4DOZ+cV+l6eWmQ9FxDeB44C+L7QeZINUN8Fg1U8DXjeB9dO4rJ+Gm3XT9pWnz6ybxjFqdVPrR/LGExGHNp6eCPy4j2U5DngX8CeZ+Wi/yjFAbgEOjYhDImIX4LXANX0u00Aoi3U/BdyRmR8cgPLMirKjWUTsTrXgu2/fpTYYpLoJrJ+6sH4ag/VTu1k3DTzrpjGMYt006rtrfgF4JtVOSPcAb87MvvR4RMRyYFfgwZJ0U593rPrPwP8GZgEPAd/PzGOnuQyvAD4M7AxckpkfmM7X7yjL54CXAE8H7gcWZOan+lSWFwP/AtxO9bcL8J7MXNin8vwH4HKq39NOwNWZeUE/ytIWg1Q3lfIMTP00CHVTKYf1U/eyWD+1mHXThOXpe/1k3TRmWUaubhrpIE+SJEmS2makp2tKkiRJUtsY5EmSJElSixjkSZIkSVKLGORJkiRJUosY5EmSJElSixjkaaBFxIqIeHqX9D+JiHP7USZJsm6SNKisnwTeQkEDLiJWAPMy8+f9Losk1aybJA0q6yeBI3kaEBExJyJ+HBGfiYg7IuLzEbFHOfy2iLgtIm6PiN8v+U+PiI/1sciSRoB1k6RBZf2k8RjkaZA8E/i7zHwWsAF4S0n/eWY+H/gE8M5+FU7SyLJukjSorJ/UlUGeBsnKzPxuefz3wIvL4y+Wf28F5kx3oSSNPOsmSYPK+kldGeRpkHQuEK2fP17+fQKYMX3FkSTAuknS4LJ+UlcGeRokB0XEC8vj1wPf6WdhJKmwbpI0qKyf1JVBngbJncBZEXEHsDfVPHJJ6jfrJkmDyvpJXXkLBQ2EiJgDfCUzD+93WSSpZt0kaVBZP2k8juRJkiRJUos4kidJkiRJLeJIniRJkiS1iEGeJEmSJLWIQZ4kSZIktYhBniRJkiS1iEGeJEmSJLWIQZ4kSZIktcj/D+d3rjzOLAByAAAAAElFTkSuQmCC\n",
    
          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
        "compare_before_after_pythia_1d(\"partPhi\", \"Phi comparison\", \"phi\", \"\")"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 8,
    
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       "outputs": [
        {
         "data": {
    
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          "text/plain": [
           "<AxesSubplot:title={'center':'Final state particles Phi comparison'}, xlabel='xaxis', ylabel='Counts'>"
          ]
         },
    
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         "execution_count": 8,
    
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         "metadata": {},
         "output_type": "execute_result"
        },
        {
         "data": {
    
          "image/png": 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\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": [
    
        "compare_divide(hist_name='partPhi', title=\"Final state particles Phi comparison\", \n",
        "               xlabel=\"Phi\", file_name=\"phi_comparison\", ylim=(0, 2), xlim=(-3.3, 3.3))\n"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 9,
    
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       "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": 10,
    
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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'>"
          ]
         },
    
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         "execution_count": 10,
    
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         "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": [
    
        "compare_divide(hist_name='partEta', title=\"Final state particles Eta comparison\", xlabel=\"Eta\", file_name=\"eta_comparison\", \n",
    
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        "               ylim=(0, 2), xlim=(-7.5, 9))"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 11,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": 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\n",
    
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          "text/plain": [
    
           "<Figure size 1080x360 with 6 Axes>"
    
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          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
    
        "compare_2d_plots('partPtVsEta', 'Pt vs Eta comparison', 'Eta', 'pt[GeV]')"
    
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       ]
      },
      {
       "cell_type": "code",
    
    Dmitry Romanov's avatar
    Dmitry Romanov committed
       "execution_count": 12,
    
    Dmitry Romanov's avatar
    Dmitry Romanov committed
       "metadata": {},
       "outputs": [
        {
         "data": {
    
          "image/png": 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\n",
    
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          "text/plain": [
    
           "<Figure size 1080x360 with 6 Axes>"
    
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          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
    
        "compare_2d_plots('partPhiVsEta', 'Phi vs Eta comparison', 'Eta', 'Phi')"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "# momentums atan2 comparison"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 13,
    
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       "metadata": {},
       "outputs": [
        {
         "data": {
    
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    Dmitry Romanov committed
          "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)', '')"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 29,
    
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       "metadata": {},
       "outputs": [
        {
    
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         "data": {
          "text/plain": [
           "<AxesSubplot:title={'center':'atan2(Px,Pz) hadron'}, xlabel='xaxis', ylabel='Counts'>"
          ]
         },
         "execution_count": 29,
         "metadata": {},
         "output_type": "execute_result"
    
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    Dmitry Romanov committed
          "image/png": 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\n",
    
          "text/plain": [
           "<Figure size 720x576 with 2 Axes>"
    
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          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
       "source": [
    
        "compare_divide(hist_name='atan2PxPz1', title=\"atan2(Px,Pz) hadron\",\n",
    
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        "               xlabel=\"atan2(Px,Pz)\", file_name=\"atan2_pxpz_hadron\", ylim=(0, 2), xlim=(-0.027, -0.023))"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 15,
    
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       "metadata": {},
    
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       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
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       "source": [
    
        "compare_before_after_pythia_1d('atan2PyPz1', 'atan2(PyPz) hadron', 'atan2(PxPz)', '')"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 16,
    
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       "metadata": {},
    
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       "outputs": [
        {
         "data": {
          "text/plain": [
           "<AxesSubplot:title={'center':'atan2(Py,Pz) hadron'}, xlabel='xaxis', ylabel='Counts'>"
          ]
         },
         "execution_count": 16,
         "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"
        }
       ],
    
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       "source": [
    
        "compare_divide(hist_name='atan2PyPz1', title=\"atan2(Py,Pz) hadron\",\n",
        "               xlabel=\"atan2(Py,Pz)\", file_name=\"atan2_pypz_hadron\", ylim=(0, 2), xlim=(-0.002, 0.002))"
    
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      {
    
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       "execution_count": 17,
    
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       "metadata": {},
    
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       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
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       "source": [
    
        "compare_before_after_pythia_1d('atan2PxPz2', 'atan2(PxPz) lepton', 'atan2(PxPz)', '')"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 18,
    
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       "metadata": {},
    
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       "outputs": [
        {
         "data": {
          "text/plain": [
           "<AxesSubplot:title={'center':'atan2(Px,Pz) lepton'}, xlabel='xaxis', ylabel='Counts'>"
          ]
         },
         "execution_count": 18,
         "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"
        }
       ],
    
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       "source": [
    
        "compare_divide(hist_name='atan2PxPz2', title=\"atan2(Px,Pz) lepton\",\n",
        "               xlabel=\"atan2(Px,Pz)\", file_name=\"atan2_pxpz_lepton\", ylim=(0, 2), xlim=(-0.002, 0.002))"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 19,
    
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       "metadata": {},
    
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       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
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       "source": [
    
        "compare_before_after_pythia_1d('atan2PyPz2', 'atan2(PyPz) lepton', 'atan2(PyPz)', '')"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 20,
    
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       "metadata": {},
    
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       "outputs": [
        {
         "data": {
          "text/plain": [
           "<AxesSubplot:title={'center':'atan2(Py,Pz) lepton'}, xlabel='xaxis', ylabel='Counts'>"
          ]
         },
         "execution_count": 20,
         "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"
        }
       ],
    
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       "source": [
    
        "compare_divide(hist_name='atan2PyPz2', title=\"atan2(Py,Pz) lepton\",\n",
        "               xlabel=\"atan2(Py,Pz)\", file_name=\"atan2_pypz_lepton\", ylim=(0, 2), xlim=(-0.002, 0.002))"
       ]
      },
      {
       "cell_type": "markdown",
       "metadata": {},
       "source": [
        "# Vertex simulation comparison"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 21,
    
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       "metadata": {},
    
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       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
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       "source": [
    
        "compare_before_after_pythia_1d(\"vtxX\", \"Vertex X\", \"x[mm]\", \"\")"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 22,
    
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       "metadata": {},
    
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       "outputs": [
        {
         "data": {
          "text/plain": [
           "<AxesSubplot:title={'center':'Vertex X distribution comparison'}, xlabel='[mm]', ylabel='Counts'>"
          ]
         },
         "execution_count": 22,
         "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"
        }
       ],
    
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       "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": 23,
    
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       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
       "source": [
        "compare_before_after_pythia_1d(\"vtxY\", \"Vertex Y\", \"y[mm]\", \"\")"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 24,
    
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       "metadata": {},
    
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       "outputs": [
        {
         "data": {
          "text/plain": [
           "<AxesSubplot:title={'center':'Vertex Y distribution comparison'}, xlabel='[mm]', ylabel='Counts'>"
          ]
         },
         "execution_count": 24,
         "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"
        }
       ],
    
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       "source": [
    
        "compare_divide(hist_name='vtxY', title=\"Vertex Y distribution comparison\", \n",
        "               xlabel=\"vertex Y\", file_name=\"vtx_y_comparison\", ylim=(0, 2))"
    
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       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 25,
    
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       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
       "source": [
        "compare_before_after_pythia_1d(\"vtxZ\", \"Vertex Z\", \"z[mm]\", \"\")"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 26,
    
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       "metadata": {},
    
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       "outputs": [
        {
         "data": {
          "text/plain": [
           "<AxesSubplot:title={'center':'Vertex Z distribution comparison'}, xlabel='[mm]', ylabel='Counts'>"
          ]
         },
         "execution_count": 26,
         "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"
        }
       ],
    
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       "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",
    
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       "execution_count": 27,
    
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       "outputs": [
        {
         "data": {
          "image/png": 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\n",
          "text/plain": [
           "<Figure size 1080x360 with 3 Axes>"
          ]
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ],
    
       "source": [
        "compare_before_after_pythia_1d(\"vtxT\", \"Vertex T\", \"t\", \"\")"
       ]
      },
      {
       "cell_type": "code",
    
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       "execution_count": 28,
    
       "metadata": {},
    
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       "outputs": [
        {
         "data": {
          "text/plain": [
           "<AxesSubplot:title={'center':'Vertex T distribution comparison'}, xlabel='[mm]', ylabel='Counts'>"
          ]
         },
         "execution_count": 28,
         "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 (ipykernel)",
    
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       "language": "python",
       "name": "python3"
      },