Validation of samples produced with variable angle and position

variable_angle_position.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "import deepdish.io as io\n",
    "import h5py\n",
    "import numpy as np\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.colors import LogNorm\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'2.0.2'"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "matplotlib.__version__ # should be 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "matplotlib.rcParams.update({'font.size': 50})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "deletable": true,
    "editable": true
   },
   "source": [
    "Import the new file to check whether the average images look reasonable given the new incident position."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "#d = h5py.File('../data/e+_variable_position.h5', 'r')\n",
    "d = h5py.File('../data/gamma_angle_position5.h5', 'r')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[u'energy',\n",
       " u'layer_0',\n",
       " u'layer_1',\n",
       " u'layer_2',\n",
       " u'overflow',\n",
       " u'px',\n",
       " u'py',\n",
       " u'pz',\n",
       " u't0',\n",
       " u'x0',\n",
       " u'y0',\n",
       " u'z0']"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3, 96, 12, 12, 12, 6]\n"
     ]
    }
   ],
   "source": [
    "sizes = [\n",
    "    d['layer_0'].shape[1], d['layer_0'].shape[2],\n",
    "    d['layer_1'].shape[1], d['layer_1'].shape[2],\n",
    "    d['layer_2'].shape[1], d['layer_2'].shape[2]]\n",
    "print sizes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": [
    "def plot_image(image, layer, vmin=None, vmax=None):\n",
    "    '''\n",
    "    Args:\n",
    "    -----\n",
    "        image: ndarray with energies collected by each calo cell\n",
    "        layer: int in {0,1,2}, useful to resize image correctly\n",
    "        vmin: float, min energy to clip at\n",
    "        vmax: float, max energy to clip at\n",
    "    '''\n",
    "    fig = plt.figure(figsize=(20,20))\n",
    "    im = plt.imshow(image,\n",
    "               aspect=float(sizes[layer*2 + 1])/sizes[layer*2],\n",
    "               interpolation='nearest',\n",
    "               norm=LogNorm(vmin, vmax)\n",
    "    )\n",
    "    cbar = plt.colorbar(fraction=0.0455)\n",
    "    cbar.set_label(r'Energy (MeV)', y=0.83)\n",
    "    cbar.ax.tick_params()\n",
    "   \n",
    "    xticks = range(sizes[layer*2 + 1])\n",
    "    yticks = range(sizes[layer*2])\n",
    "    if layer == 0:\n",
    "        xticks = xticks[::10]\n",
    "    plt.xticks(xticks)\n",
    "    plt.yticks(yticks)\n",
    "    plt.xlabel(r'$\\eta$ Cell ID')\n",
    "    plt.ylabel(r'$\\phi$ Cell ID')\n",
    "\n",
    "    plt.tight_layout()\n",
    "    return im"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x10f0c1810>"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ea4RKkiRJkiT1RTBMDLoISQ0GoR2IiPWBHYCtgLWAZcC9FDtiLczMZQMsT5Ik\nSZIkSdIYDEIriIh9gMOBnWHMf8p5KCLOAD6TmX+etOIkSZIkSZIkTcg1QscREZtExIXAmcCLGTsE\nBVgTeDvwh4g4MiIc+y5JkiRJkiRNEY4IHUNEPB24ENiow1vnAB8Hto2IgzJzqO7aJEmSJEnS1JfA\nUDoGTZoqDELbiIj1gPNpH4JeDvwAuAlYDXg6cACwcct1bwbuBt7Xv0olSZIkSZIkVWEQ2t4CYPOW\ntoeAAzPz7NaLI+II4AjgqJa3Do+I8zLzR32pUpIkSZIkqb/mRcTC0vmCzFwwsGqkHhiEtoiIVwB7\ntzQvBV6WmQvb3EJjt/ijI+J+4Istb385IrbNzOX1VytJkiRJkqayoem/PcuizJw/6CKkOkz7v8Y+\nOLJN29FjhaBlmfkliin1ZVtTTJ2XJEmSJEmSNCAGoSUR8SzgJS3Ni4DPddDNR9q0vavroiRJkiRJ\nkiT1zCB0tP3btJ2UmUurdpCZl1NsqFS2U0Q8pafKJEmSJEmSJHXNNUJHe1Wbtu920c93ge3b9H1c\nF31JkiRJkqRpKAmGMwZdhqQGR4Q2RMRc4PktzY8CV3TR3cVt2lqn3EuSJEmSJEmaJAahI/6GFT+P\nhV3u9n4ZsKylrXWEqCRJkiRJkqRJYhA6Yps2bdd301FjTdHbW5q3igiXIpAkSZIkSZIGwGBuxJZt\n2m7pob9bgfIGSbOAzYEbe+hTkiRJkiRNI0OOQZOmDP8aR2zYpu22Hvprd+8GPfQnSZIkSZIkTQkR\n8dqImFa7gRmEjli3TdvDPfTX7t71euhPkiRJkiRJmip+ANwUEUdExLQY/GcQOmJum7bFPfTX7t7V\ne+hPkiRJkiRJmko2Az4B3BoRp0fErgOuZ1yuETpidpu2x3ror10QOme8GyLiMOAwgFXNTCVJkiRJ\nmtYSGE7HoGnGC4pcbV9g34i4FjgeOCUzHxhoZS38axxf1nzvuOsmZOaCzJyfmfNns0oPj5YkSZIk\nSZImRTaOaBzbAF8A/hIRX4+I+YMsrswgdMSyNm2r9dBfu3uX9tCfJEmSJEmSNFW8H/gzIwFoMjoU\nXR04FLg0Ii6LiEMjopesrWcGoSMebdNWdxD6SA/9SZIkSZIkSVNCZn4xM7cFXg6cBSxnZDZ06yjR\n7YGvU4wS/WJEbDuAkg1CS+5t07ZGD/21u7fdMyRJkiRJ0owUDE3zA5gXEQtLx2GD/lQ1tWTmBZm5\nL7A58FF01sijAAAgAElEQVTgdsYeJbo28I/AVRFxQUTsGxGTtoeRQeiIu9q0bdpDf5tVfIYkSZIk\nSdJUtai5n0njWDDogjQ1ZeZdmflJ4CnAXsCPGQlAYcVRoi8FTgdui4hPRMTm/a7RIHTETW3atuih\nv9Yf3hBwaw/9SZIkSZIkSVNaZg5n5tmZ+Wpga+AzwCJWHCXaPN8AOAK4ISLOjog9+lWbQeiIa9u0\nbd1NRxExhxVHhN6Qmcu76U+SJEmSJE0/CQznStP6kHqRmTdn5ocpZl2/BbiYsafNzwJeA5wTETdG\nxIciYv066/E3esRvgeGWtvldrlMwH5jd0nZFV1VJkiRJkiRJ01hmLsvMb2fmLsCzgf8CHmLsUaJb\nAsdQTJs/LSJeUkcdBqENmfkIRRhaNhfYrovuXtym7Rdd9CNJkiRJkiTNGJn5x8x8D7Ax8HcUgwfH\nGiU6B9gfuDAiroqId0XE6t0+2yB0tB+3aduni37a3dOub0mSJEmSJOkJJzMfzcyvZeZ84AXAOYxs\nrAQrjhJ9JvAV4PaI+FRErNvpMw1CRzu9TduhjTU/K4mI7YAdWpovzcx2mzFJkiRJkqQZbIiY1ofU\nbxGxM/Be4BUUwSe0D0SboejawL8AN0bEP3XyLIPQksy8CvhlS/P6QCcf6n+0aTuu66IkSZIkSZKk\nGSQi1mhMc/89xXKSBwCrlC4pjwRtHs325ntrAZ+LiPMjYo0qzzUIXdEn27QdHRHPn+jGiHgPsHtL\n843At+ooTJIkSZIkSZquIuJ5EXE8cAfFNPfnMHp9UErnvwYOBLYBPgXcRftA9GXAmVWebxDaIjPP\nA37Q0rwKcEFEvLbdPRExOyKOBI5t8/Z7M3NZzWVKkiRJkiRJU15ErBIRB0fEJRQbI70TWIP2myMt\nAU4C5mfmizLzW5n558w8AticIhi9mtGBaACvjIg9J6pl5Xq/tRnjncD2wKaltrWAsyNiIUVQehOw\nGvA04C3AJm36+Upm/k+fa5UkSZIkSVNQZjCcjkHTE1NEbA38PXAIsE6zufHauhbozRRLS56Qmfe1\n6y8zlwPfiohvA+8BPsfobPMgig2XxmQQ2kZm3hMRrwR+DmzY8vb8xjGRM4D31V2bJEmSJEmSNBVF\nxErAXsC7gN1ov74njIwGPZ9iivw5mZlU0Lju2IiYCxzDyKjQ1s3LV+A/S4whM68BdmTFzZMmsgw4\nGnhzZg7VXpgkSZIkSZI0hUTEJhFxFHArxXqdL6PIHcvT32mcPwh8GdgmM3fPzB9WDUFbfAkoZ2+t\ngxlX4IjQcWTmbRHxUmBf4HDghYyk2K0epvhBfyYz/zRJJUqSJEmSJEkD0ZhR/S7gNcAsRudmrdPf\nrwa+CnwjMx/p9dmZuTgibgO2aDStMt71YBA6oUYifQZwRkQ8mWKU6FMp1gxdDiwCrgEuy8ylAytU\nkiRJkiRNOUOuEaoZKiKuB57SPG28lkd2BkV29gOKfXQu6kMZD3RysUFoBzLzbiZYdFWSJEmSJEl6\nAngqI+tzto7+vBv4GnB8Zv6lz3WMNXt7BQahkiRJkiRJkrrVDEMBfk0x/f2MzFw2Cc8+G/hd1YsN\nQiVJkiRJkiR1I4DHgNMppr9fMZkPz8yPdXK9QagkSZIkSVIfJDBcfdauNN3cDBwPfD0z7xtwLZUY\nhEqSJEmSJGks8yJiYel8QWYuGFg1mkq2amwyPm0YhEqSJEmSJGksizJz/qCL0NQz3UJQMAiVJEmS\nJEnqk2AoVxp0EZIa/GuUJEmSJEmSNOMZhEqSJEmSJEma8QxCJUmSJEmSJM14rhEqSZIkSZLUBwkM\nZwy6DKkvIuLGPnY/BDwIPADcB1wF/Ab4VWb+tdtODUIlSZIkSZIkdWpLiry/n2l/c2f6NzRel0XE\nWcBXM/OSTjtzarwkSZIkSZKkbmUfDyiC1uYxB9gfuDgijo+IVTsp1CBUkiRJkiRJUjei5ah6XSfX\nwuhwtNn+TuCSiFijarFOjZckSZIkSeqTIcegaeY6pfT1ysDeQHOEZjnAvAG4iWK9zyXAWsB6wLMb\nXzeva1oIXN3ocx1gQ+C5jOSY5ZGizwNOA15fpWCDUEmSJEmSJEkdycxDASJiC+D7jA5BfwqcAJyb\nmQ+N1UdEPBM4EHg7sD5FyPlc4DuZ+Z+l61YFXgX8C/BCRo8O3TMiDszMb05Us/8sIUmSJEmSJKlj\njRD0EoqRmQHcA7wuM1+Zmd8ZLwQFyMw/ZuYRwDOAUxlZB/QzEfHp0nWPZeZ/Z+bOwIcYGRXaDEM/\nXKVeg1BJkiRJkiRJHYmIlYEfABtRhJF3Abtm5jmd9pWZ92fmIcAXmt0DH4iI/dpc+1ng44xeZ3Tb\niHjxRM8xCJUkSZIkSeqDJBjO6X1I4/h7imnsUIzM/IfM/FOPff4L8FtGRnp+ISLmtLnuE8CfW9p2\nmahzg1BJkiRJkiRJnXovI1PU/5iZ3+u1w8wcBo6hCEET2AB4U5vrEji2dB2AI0IlSZIkSZIk1Sci\nngFs3ThN4Owauz8XWFY633OM684vlwRsMVHH7hovSZIkSZLUJ8OOQdPMtF3jtTki84a6Os7MxRFx\nF7BJo/+/GeO6P0fEw8DcRtO6E/XtX6MkSZIkSZKkTmzccj7u7vBdKPfX+qyyRaWv156oU4NQSZIk\nSZIkSZ1YpeX8yTX3v37p63abJTU9XPo6x7yqwSBUkiRJkiRJUifuarw2w8ft6+o4IjYH5pWa7hnn\n8jVKXz86Ud+uESpJkiRJktQHmTCUMegypH64o/R1AK+LiNUyc3ENfb+55fwv41y7XunrRWNe1eCI\nUEmSJEmSJEmduARYWjpfB/h4r51GxEbARyhGmjY3YrpwjGs3BdZsnCZwy0T9G4RKkiRJkiRJqiwz\nHwR+xkhYGcD7I+Ld3fYZEfOAHwFrtbx15hi3tE7H/9NEzzAIlSRJkiRJ0ljmRcTC0nHYoAvSlHEM\nI2uENsPQYyPitIgYb6f3FUTEm4DfAc9h9GjQn2bm5WPctmfz9sbrryd6jmuESpIkSZIk9cnw9F8j\ndFFmzh90EZp6MvN/I+Ik4G0UoWUzwNwf2DcizgPOBa4AbgYeoJhOvybF2p7PAXZqXL85I4FmM1x9\nDGg7wjQi5gCvLz0T4KKJajYIlSRJkiRJktSNfwC2AF7O6DB0ZeDVjWMirQFoAEuAfTPzhjHueTOj\nd5ZfmJnjbaoEGIRKkiRJkiRJ6kJmLomI1wKnA69jJAyFkYBzwm5KXwdwP3BgZp47zj3XMXp3+T9X\neZBBqCRJkiRJkqSuZOZjwF4RcTDweWDd5lsddNMMTc8G3pWZd07wzEs6LhSDUEmSJEmSpL5IguF0\nn2o9MWTmqRFxJnAA8E5gPtU2ar+PYmf44zLzyj6WaBAqSZIkSZIkqXeZuRg4ATghItYAdqTYFGk9\nYB1gFYpNk/4K3Ab8JjOvnaz6DEIlSZIkSZIk1SozHwZ+3jimBMdnS5IkSZIkSZrxHBEqSZIkSZLU\nJ0OVN86Wpo+IeCawT6kpgU9n5tIBlVSJQagkSZIkSZKkTuwGHMXIzvC/zsxPDK6capwaL0mSJEmS\nJKkTT2q8Noc8/2hQhXTCEaGSJEmSJEl9kMBwOjVeM9LylvPbB1JFhxwRKkmSJEmSJKkT97WcLx5I\nFR0yCJUkSZIkSZLUiesar801Qp88qEI6YRAqSZIkSZIkqRO/AZaUzncYVCGdcI1QSZIkSZKkvgiG\n0zFomnkyc3FE/AjYq9G0R0SslplTeoq8f42SJEmSJEmSOvVZiqnxCawLfHCw5UzMIFSSJEmSJElS\nRzLzV8BxQDSa/jUi9h5gSRMyCJUkSZIkSZLUjfcBP6QIQ1cGvhMRn46I1QdbVnsGoZIkSZIkSX0y\nTEzrQxpPZi4H3gAcAwwBs4APAHdExP+LiP0j4ukRsXZEDDyHdLMkSZIkSZIkSR2JiKE2zUkxOnQt\n4B2No3xPN4/KzKwlwzQIlSRJkiRJktSpdqlmc/Oksd4fKINQSZIkSZIkSd3ILt+rqtYw1SBUkiRJ\nkiSpDzJhKKfcoDipTtPqF9wgVJIkSZIkSVKnjh50AZ0yCJUkSZIkSZLUkcw0CJUkSZIkSVJhOFca\ndAmSGvxrlCRJkiRJkjTjGYRKkiRJkiRJmvEMQiVJkiRJkiTNeK4RKkmSJEmS1AdJMJwx6DJ6NS8i\nFpbOF2TmgoFVI/XAIFSSJEmSJEljWZSZ8wddhKafiJgNbAvMA9YDVgPIzFMHVZNBqCRJkiRJkqSe\nRcSqwDuANwA7Aau2uWzMIDQiXg48qdR0ZWZeX1d9BqGSJEmSJEmSehIR7wKOohgBCtBuXYicoJtd\ngSNK5z8E9uq1tiaDUEmSJEmSpD4ZbpsFSTNHRKwGnADsx0j4mawYelb5Y/gy8M/AKo3r94iIeZm5\nqI5a3TVekiRJkiRJUsciIoBvMxKCNgPQaDkqycx7gLNK96xMjSNCDUIlSZIkSZIkdeMo4HWNr5sB\n6DKKEaJ7A9sB13TY55ml/gBe0VuJI5waL0mSJEmSJKkjEbEJ8EFGAssArgTekJk3la5b2mHX5wGL\nKTZaCmC33qstGIRKkiRJkiT1QQLD6RqhmrE+TLGWZ3Mk6PXASzLzoV46zcwlEfE74IWNpvUiYqPM\nvLOnanFqvCRJkiRJkqTOvYGREDSBd/QagpZc3nK+TR2dGoRKkiRJkiRJqiwitgU2LjVdkZm/qPER\nN7acb15HpwahkiRJkiRJkjrxzNLXCZxfc//3t5yvVUenrhEqSZIkSZLUJ8PpGDTNSOs3XpvT4q+r\nuf/mFPvmRkxr1NGpf42SJEmSJEmSOrFOy/kDNfffDD6bu409VkenBqGSJEmSJEmSOvFgy/maNfe/\nfsv5vXV06tR4SZIkSZKkfshgOGPi66Tp5+7Ga3Pq+kY19799y/miOjp1RKgkSZIkSZKkTvyl5XyH\nujqOiFnAroyErABX1tG3QagkSZIkSZKkTlwGPNL4OoBXREQtGxoB+wEblM5vyszb6+jYIFSSJEmS\nJElSZZm5DLiQkc2M5gLv6rXfiFgLOJpiNGhzR/qf9tpvk0GoJEmSJElSHyQwTEzrQxrHKY3XZmj5\nsYh4ZredRcRs4JvAVi1vfaXbPlsZhEqSJEmSJEnqSGZ+F/ht8xRYHfhZRHS8XmhEbAX8AngNo0eD\nnpOZV9VTsUGoJEmSJEmSpO68DxhqfJ0Ua3teEhFfj4idImLlsW6MiA0iYt+I+DZwDbAjjBqG/BDw\nz3UWO2YxkiRJkiRJkjSWzLw4It4DHE8RhCYwCzi0cSxrXPp4wBkRdwDrAHNKXTXfL48GPTQzr6+z\nXoNQSZIkSZKkPhlO19nUzJaZCyJiXeCTjISYzV/8OS2XB7Bhu25K7y8H3puZ36+7VqfGS5IkSZIk\nSepaZn4K2B24m5EwtJODxn2LgFdl5vH9qNMgVJIkSZIkSVJPMvNnwNOADwF3UgSbzaOd8vsPAkcB\nW2Xmz/tVo1PjJUmSJEmSJPUsMx8GPhsRXwReBOwC7AxsCqxHsTboYoqRn3cBlwLnAxdl5qP9rs8g\nVJIkSZIkqQ8S1wjVE1NmLgMuahxThlPjJUmSJEmSJM14BqGSJEmSJEmSZjynxkuSJEmSJPWJU+Ol\nqcMRoZIkSZIkSZJmPINQSZIkSZIkSTOeQagkSZIkSZKkGc81QiVJkiRJkvogCdcI1RNKRLwI2B3Y\nHngG8KTG0UsGmZlZS4ZpECpJkiRJkiSpaxGxN/AJYJty84DKGZNBqCRJkiRJkqSORcQs4CTgLc2m\n0ttZxyNq6ONxBqGSJEmSJEmSuvF14MDSeTn8dESoJEmSJEnSE8Xw1MuCpFpExKuAt9I+/LwHuBy4\nAXgAWDa51bVnECpJkiRJkiSpU0eVvm4GoFcBHwR+kpnDk17RBAxCJUmSJEmSJFUWEU8GdqAYDRqN\n1/OAvTJz6SBrG89Kgy5AkiRJkiRJ0rSyM6PXAH0AOGgqh6DgiFBJkiRJkqT+SBhO1wjVjLRB6esE\nvpeZ9w6qmKocESpJkiRJkiSpE+s2XptJ/6WDKqQTjgiVJEmSJEnSWOZFxMLS+YLMXDCwajRVPNpy\nft9AquiQQagkSZIkSZLGsigz5w+6CE05t7Scrz2QKjpkECpJkiRJktQHiWuEasa6rPGajdenDqqQ\nTrhGqCRJkiRJkqTKMvN24NeMrBG6+wDLqcwgVJIkSZIkSVKnPtt4DWC7iNhlkMVU4dR4SZIkSZKk\nPnFqvGaqzPx+RJwD7NloOi4iXpSZ9w+yrvE4IlSSJEmSJElSNw4ErqYYFfoM4EcRsclgSxqbQagk\nSZIkSZKkjmXmg8AuwC8pwtAdgSsj4siI2GigxbXh1HhJkiRJkiRJHYmIE0untwDzgVWAdYCjgKMi\n4gbgOuA+YFmXj8rMfHsPpT7OIFSSJEmSJKkPknCNUM1khwDZpj0Z2U1+a2CrHp4Rjf4MQiVJkiRJ\nkiQNVDP0LIei2eb9TrULWXtiECpJkiRJkiSpWxMFlrUHmt0yCJUkSZIkSZLUqVuZQiFnFQahkiTp\n/7N35+GSZnWd4L+/rJ2iSiiKtYAqFpVVlkoQFVlUREAeuxFRBGakVcTREZyxpxsQBZpWsdtuEZA2\nu2dwcHAUtwaURQQREQZINmVplEUWUSFZC6ogszJ/80fEJaOi4uZ9496IG/dGfj7P8z4R74n3Ped3\n783Mqud7zzkvAABL0vYIZU1192WrrmFeB1ZdAAAAAADAsglCAQAAAIC1JwgFAAAAANaePUIBAAAA\nluRE7BEKe4UZoQAAAADA2hOEAgAAAABrz9J4AAAAAGDPqKrvTnLRxnl3v3AR/QpCAQAAAJagOznR\n9ghl/6mqz0yc/nV332+Oe782yXkb593919so4d8l+YaJc0EoAAAAALBw15t4f+Gc9744J0PMzvbz\nx43fIvQ2778We4QCAAAAANN2EkDWxLGK8WcyIxQAAABgSdrSeE5PnZ2FoEthRigAAAAAsPYEoQAA\nAADA2hOEAgAAAABrzx6hAAAAAEtROWGPUNgzzAgFAAAAANaeIBQAAAAAWHuCUAAAAABg7dkjFAAA\nAGBJ2h6hsGeYEQoAAAAArD1BKAAAAACw9gShAAAAAMDas0foHlXnnJ0zbnnZ1hceGJhln3nGoMv6\nzGH9nThjYH9nDeuvzxpa37C9VU6cMXDcgf31gYHjDq3vrKHjDrpscH8nhn2bB38dSdID+xx63fGh\n35sFj3ti4L+GPfC6od/rwf2d2cP6O2tgf0PrO2vouEOvOzHoujp72HVnnH180HXnnnd00HUXX/dL\ng66758UfGXTd/S9436Dr7nD2pwddd/GBswddd07t7f+8n1Gr+T3s8R7452qO+pbR51429Ou9OsP+\nbn7i6q8Muu7vjl1/0HWvueKOg657y5FLB1336S9dZ9B1V115zqDrjh8d+P87R4f9ealjQ68b9t/W\nunrQZTlw9dD+hl13YNH1DfvjN8fXu9jr6viw/2YO7S/D/lrO8XUMqy9JauDYZxwb1mcN/NkdGNrf\niYHf66PDvpADA392NfB7OLS+OjbsG3Pg6MBvYA/8vgwcN8cH/v/dsa3/ENbHh/2/zn7SSU7YIxT2\njPX4v3IAAAAAgFMQhAIAAAAAa29vr50DAAAA2K968G4EsJfdtqpeO8/1kydz3juzj0URhAIAAAAA\nmzk/yX3nvKcmXue9d2kEoQAAAADAZnb6xK/t3r/w+dSCUAAAAABglrXa3EEQCgAAALAkJ3Y8mQ5W\nZu3+8ApCAQAAAIBJt1p1AcsgCAUAAAAAvqq7P7LqGpbhwKoLAAAAAABYNjNCAQAAAJagk3Sv3TaL\nsG+ZEQoAAAAArD1BKAAAAACw9gShAAAAAMDas0coAAAAwFJUTtgj9LRTVTdMcjDJPSZebzJxyWO7\n+zdXUNppTxAKAAAAADtUVTdJ8v8luXTVtTCbpfEAAAAAsHPnRgi6p5kRCgAAAACL9akkb0tyOMlb\nk7xkteWQCEIBAAAAlqZ71RWwiz6T5PuSvLW7PzL5QZW9YvcCQSgAAAAA7FB3fyHJ76+6DjZnj1AA\nAAAAYO2ZEQoAAACwJN2WRO8VVXXDJPdIcpskFyY5luTTSd6b5HB3H1theewCQSgAAAAAS1NVFyU5\nOHFcnuSW09f1klLjqnp4kick+ZYkm41xRVW9OMkvd/ffLqMOVk8QCgAAAMDCVNWdkjwko8DzYJJb\nraiOS5K8KMl9B1x+QZIfTvKYqnpmkmd2e9TVuhGEAgAAALBIP5LRDMyVqaqvS/K6JDed89azkzwj\nye2r6jHdfXzRtbE6glAAAACAJei2R+gqVNUNkrw6s0PQtyV5SZIPJzkvydcl+cEkN5u67pFJPpnk\nicurlN0mCAUAAABgNxxN8u4kh5M8Isn1ljTOoVx7D9Irkjy6u186fXFVPTnJk5M8beqjJ1TVq7r7\nFUupkl0nCAUAAABg0a7O+GnsE8e7uvtoklTVA7OEILSqHpDkYVPNR5N8W3cfnnXP+GnxT6+qzyX5\n1amPf62qbt/dVy+6VnafIBQAAACARXpWkid191UrGPupM9qevlkIOqm7n11VD0nygInm22a0dP6F\nC6qPFRKEAgAAACzJidNwj9Du/sdVjFtVd0zyrVPNR5L8xzm6eVKuGYQmyY9HELoWDqy6AAAAAABY\ngB+Y0faCjeX4Q3T32zJ6oNKke1XVrXZUGXuCIBQAAACAdfBdM9p+fxv9zLpnVt/sM4JQAAAAAPa1\nqjo/yd2nmq9M8vZtdPeXM9qml9yzD9kjFAAAAGBJulddwWnjrrn2hL/D23za+1uTHEty1kTb5dst\njL3DjFAAAAAA9rvbzWj7wHY6Gu8p+vGp5ttUlQmF+5wgFAAAAID97rIZbR/ZQX8fnTo/I8ktd9Af\ne4AkGwAAAGBJumvVJZwubjKj7WM76G/WvTdO8qEd9MmKmREKAAAAwH530Yy2L+6gv1n33mCrm6rq\nv1bVl6ePqctmXlNVl+6gXgYwIxQAAACAzVxcVYcnzg9196GVVbO582e0XbWD/mbde50B952V5Jwt\nrjkzszM504eXTBAKAAAAwGaOdPfBVRcxwFkz2qZnYs5jVhB69g76Yw8QhAIAAAAsQafsEbpaveB7\nt/xhdvcPJfmhHYzLEtkjFAAAAID97tiMtvN20N+se4/uoD/2AEEoAAAAAPvdlTPaFh2EfmkH/bEH\nCEIBAAAA2O8+PaPtujvob9a9s8ZgH7FHKAAAAMCS7GSTSubyzzPabr6D/m4xcAz2ETNCAQAAANjv\nPjyj7dId9HfLqfPjST66g/7YAwShAAAAAOx375/RdtvtdFRVZ+faM0I/2N1Xb6c/9g5BKAAAAAD7\n3TuSnJhqO1hV29kW8mCSs6ba3r6tqthT7BEKAAAAsAyddNeqqzgtdPeXquodSS6faD4/yd2SvHXO\n7u49o+31262NvcOMUAAAAAA2c3FVHZ44Hrfqgk7hlTPaHr6NfmbdM6tv9hlBKAAAAACbOdLdByeO\nQ6su6BR+Z0bbY8d7fg5SVXdLco+p5jd396yHMbHPCEIBAAAA2Pe6+91J3jDVfMMkPz1HN784o+35\n2y6KPUUQCgAAALAsvc+P/eeZM9qeXlV33+rGqvrJJA+cav5Qkt9eRGGsniAUAAAAgLXQ3a9K8pKp\n5nOS/HlVPXTWPVV1VlU9NclzZnz8U919bMFlsiKeGg8AAADAQlXVy5Pc7BSXXOuzqnrnFt0+uLs/\nMWD4H83o6fE3n2i7MMlLq+pwRkHph5Ocl+RrkzwqySUz+nlud//JgPHYJwShAAAAAEvSXasuYVXu\nkOTSOe+5yxafD3roUXd/qqq+M8lrk9xk6uOD42MrL07yxCHjsX9YGg8AAADAWunu9yW5Z6798KSt\nHEvy9CSP7O7jCy+MlRKEAgAAALB2uvtjSe6T5PuTvDGnfvzTF5O8IMk3dPfTuvvELpTILlvq0viq\num2SW2e0J8OFGe290EmuSvKFJB9L8qHu/tAy6wAAAABg93T3ZauuIUm6uzNa5v7iqrpRRrNEb51R\nTnV1kiNJ3pfkrd19dGWFsisWGoSO/0A9Isl3J7lXkgsG3veFjJL5lyX5ve7+9CLrAgAAAFiFPtUc\nRHZVd38yyR+vug5WZyFL46vqFlX1m0k+kuTZSR6QUbJeA4+vSfJdSZ6X5GNVdaiqTvVkMQAAAACA\nwXYchFbVE5P8jySPSXJOToabPeexcd+5SX44yfur6sd3Wh8AAAAAwLaD0Ko6o6r+nyS/ktHen9Ph\n58zbxscs06Ho+UmeW1X/Z1Vtdg8AAAAAy3NxVR2eOB636oJgu3ayR+gLkzxy/H46+JwMLo8l+UyS\nzyX5bEbh6/WSXH98TNbQU6+V5IfG5z+yg1oBAAAAdlUn6d73c7uOdPfBVRcBi7CtILSqnpBRCDor\nAD2e0UOPXpPkTUne1d3HN+nnrCR3S/JNSb4jyYMyCkonA9FK8tiqOtzd/2U79QIAAAAAp7e5l8ZX\n1S2S/EKuGYJWkhNJnpPka7v7Yd39vO5++2YhaJJ097Hufkt3P7u7H5rkdkn+y1TfG2HoL3uAEgAA\nAACwHdvZI/SZGe0JuqGSfCrJd3b3E7r777dbTHd/oLv/l4xmhn5m6uPzkzxju30DAAAAAKevuYLQ\n8YzMH8g19/A8kuSe3f3niyqqu1+d5Bsz2lM0OTkr9FFVdeNFjQMAAACwNJ2ka38fsEbmnRH6mCRn\njd9vLIf/oe7+yEKrStLdH0ry2FzzwUtnj2sAAAAAABhs3iD0+8avldHvNV7U3S9fbEkndffLkrxo\nYrzJGgAAAAAABhkchFbV9TN6wvvkg4x+deEVXdvkGJXk8qq63i6MCwAAALAj3fv7gHUyz4zQb87J\nZeqd5M3d/Y7Fl3RN3f22JG+eGLuSfMuyxwUAAAAA1sc8Qehdxq8bgeSrF1zLqfzp1Pldd3FsAAAA\nAE9mxsYAACAASURBVGCfmycIvd3U+VsWWcgW3jx+3ZiU/fW7ODYAAAAAsM+dOce1l02d72YQOj3W\nZbs4NgAAAMD22GcT9ox5ZoTeKCf/+l7d3Z9aQj0zdfeRJMfGp5Xkxrs1NgAAAACw/80ThN5g4v3n\nF13IAJNj3mDTqwAAAAAApswThJ478X4VQejnJt6fu+lVAAAAACzKxVV1eOJ43KoLgu2aZ4/QyfDx\nikUXMsCXJt6fs4LxAQAAAOZQ6a5VF7FTR7r74KqLgEWYZ0boGUurYn7z1A0AAAAAnOYEigAAAADA\n2hOEAgAAAABrb549QgEAAACYR6+6AGCDGaEAAAAAwNrb7ozQ21bVaxdayYAxd3k8AAAAAGBNbDcI\nPT/JfRdZCAAAAADAsmw3CK2FVjGcnTUAAACA/aGT7lVFKMC07QShwkgAAAAAYF+ZNwj1awwAAAAA\nYN+ZJwi91dKqAAAAAFhH1tXCnjE4CO3ujyyzEAAAAACAZTmw6gIAAAAAAJZNEAoAAAAArL3tPDUe\nAAAAgEH2/XOnL66qwxPnh7r70MqqgR0QhAIAAACwmSPdfXDVRcAiWBoPAAAAAKw9QSgAAAAAsPYs\njQcAAABYll51AcCGwUFoVb12mYXMqbv721ddBAAAAACwP8wzI/R+2Ru/x6jsjToAAAAAgH1iO0vj\na+FVDCcABQAAAADmtp0gVBgJAAAAMIQUBfaMeYPQVc4GBQAAAADYlnmC0FstrQoAAAAAgCUaHIR2\n90eWWQgAAAAAwLJsZ49QAAAAALbSSdoug7BXHFh1AQAAAAAAyyYIBQAAAADWnqXxAAAAAEvSveoK\ngA1mhAIAAAAAa08QCgAAAACsPUEoAAAAALD27BEKAAAAsCz2CIU9QxAKAAAAwGYurqrDE+eHuvvQ\nyqqBHRCEAgAAALCZI919cNVFwCLYIxQAAAAAWHtmhAIAAAAsS9eqKwDGzAgFAAAAANaeIBQAAAAA\nWHuCUAAAAABg7dkjFAAAAGBJqlddAbDBjFAAAAAAYO0JQgEAAACAtWdpPAAAAMAy9PgA9gQzQgEA\nAACAtScIBQAAAADWniAUAAAAAFh79ggFAAAAWIpKulZdBDC2ZRBaVffZjULm1d2vX3UNAAAAAMD+\nMGRG6Ouy955x1jGbFQAAAAAYaJ4w0VxuAAAAAGBfmicI3SuzQgWyAAAAwP6wV9IUYHAQKnwEAAAA\nAPatIUHo/ZdeBQAAAADAEm0ZhHb3X+xGIQAAAAAAy+LJ6wAAAADLYo9Q2DMOrLoAAAAAAIBlMyMU\nAAAAgM1cXFWHJ84PdfehlVUDOyAIBQAAAGAzR7r74KqLgEUQhAIAAAAsiz1CYc+wRygAAAAAsPYE\noQAAAADA2ttyaXxV3Wc3CplXd79+1TUAAAAAbKqTdK26CmBsyB6hr8ve29GiY39TAAAAAGCgecLE\n0/ZXGFV1UZKDE8flSW45fV23X/MAAAAAwF40TxC6V2aFLj1srKo7JXlIRoHnwSS3WvaYAAAAAMDy\nDA1CT7eZjj+S5AmrLgIAAADY32qvTCsDBgWh9196FQAAAAAAS7RlENrdf7EbhewTR5O8O8nhJI9I\ncr3VlgMAAAAADOHJ65u7Osl7Mwo9N453dffRJKmqB0YQCgAAAAD7giB0tmcleVJ3X7XqQgAAAIB9\nzB6hsGcIQmfo7n9cdQ0AAAAAwOIcWHUBAAAAAADLJggFAAAAANbeSpbGV9UZSS5Kcl6SdPdHV1EH\nAAAAAHB62JUgtKrunORfJLlfkrsl+ZqJj/tUdVTV1yQ5Y6LpixtPbgcAAAAAGGKpQWhV3TXJM5M8\naLJ5zm5+LcmjJ87/a5LH77A0AAAAAOA0srQ9Qqvqx5K8KaMQtHIyAO2JY4j/sNHl+HhEVZ2zwFIB\nAAAAlqJ6fx+wTpYShFbVzyb59STnZBRebgSfNXEM0t3vTvKaiaavSfLghRULAAAAAKy9hQehVfW9\nSZ6eawegH8homftPJ/nYnN3+7vh143cRD9x5pQAAAADA6WKhQWhVXSfJc3MyBK0kVyR5dHd/fXc/\nsbufneQzc3b9R0mObwyT5NsXVDIAAAAAcBpY9MOSfjLJjXPNEPQ+3f3XO+m0uz9TVe9Lcsdx062r\n6sLu/sKOqt1jqupxSR6XJOeeeeGKqwEAAAB2rOd9ZjSwLIteGv+YnAxBO8lP7zQEnfC2XHNv0dsv\nqN89o7sPdffB7j549hnnrbocAAAAAFgbCwtCq+omOTljM0k+muQ3F9V/kvdOnd9mgX0DAAAAAGts\nkTNC7zHxvpO8ortPLLD/z06dX2+BfQMAAAAAa2yRe4TeaPy6sSz+HQvsO0k+N37deHL8BQvuHwAA\nAGBxOidTDGDlFjkj9OKp83mfDL+Vc6bOFznbFAAAAABYY4sMQr8ydX7uAvtOkovGrxsPTPr0gvsH\nAAAAANbUIoPQT02dT88Q3ak7Tp0LQgEAAACAQRa5R+g/j183dr+42wL7TpL7jfvemBH6wQX3DwAA\nALBY+3+P0Iur6vDE+aHuPrSyamAHFhmEvjXJ8YxmmVaSb6+q6u4d/5Wvqnsn+bqc/OfjM9397p32\nCwAAAMApHenug6suAhZhYUvju/vzSd6SkzM2b5bkXy6o+2eMXzeeSP+6BfULAAAAAJwGFrlHaJL8\nwfh1Ywn7f66qC3bSYVU9LSeXxW94wU76BAAAAABOL4sOQn89yT9OnN88ycur6sJ5O6qqA1X1n5M8\nNSeD1U7yru5++SKKBQAAAFim6v19wDpZaBDa3V9O8vM5GVpWkm9O8p6qenRVnb1VH1V1w6r6sSTv\nT/JTObnUPuM+/+0iawYAAAAA1t8iH5aUJOnu/1ZV90ryr3IyDL0kyf+d5LlV9fYkt8xEwFlVv53k\noiSXZvRQpEx8Pjkb9Be6+08XXTMAAAAAsN4WHoSOPT7JTZM8KCf39qwkFya579S1leT7J95vmJ6A\n/Tvd/XMLrnNTVfXyjB74tJlrfVZV79yi2wd39yd2VBgAAACwf1heDnvGUoLQ7r66qr47ydOSPCWj\nJfiTf/Vr6pbJ2Z/T7Z3kad39jOyuO2Q0Q3Ued9ni8y23BgAAAAAAFm/RD0v6qh75+STfmuQVGYWa\nG0dvcmTqutcl+dYVhKAAAAAAwBpZ1tL4r+ruNyV5SFXdMcnDM1oaf68k5866PMk7k7w6yUu6+43L\nrg8AAAAAWH9LD0I3dPd7krwnSarqQJIbjI/rJ7kqyZEkn+rur+xWTafS3ZetugYAAABgn7NHKOwZ\nuxaETuruE0k+NT4AAAAAAJZqaXuEAgAAAADsFYJQAAAAAGDtrWRpPAAAAMC6qx4dwN4wdxBaVWcn\nuclU89Hu/qfFlPTVcW6S5Oyp5n/s7mOLHAcAAAAAWH/bWRr/H5J8eOq47yKLGrtfkr+fGufnlzAO\nAAAAALDm5gpCq+pWSR6fpMZHkvxKd//uogvr7t9J8p8mxqokT6yqmy16LAAAAABgvc07I/RpSc5K\n0uPj3UmevOCaJj0pyXvGYyXJeUl+donjAQAAACxO1/4+YI0MDkKr6oIkD88olNz4m/CE7r56GYUl\nyXg/0CeOx9sY91FVde6yxgQAAAAA1s88M0K/N6MZmckolPyr7n7dwiua0t2vSfKGnAxfr5vkYcse\nFwAAAABYH/MGocnJQPI5C67lVJ47ft1YIv99uzg2AAAAwPb0Pj9gjcwThH5jTv4VuCrJyxZfzqZe\nmuTK8ftKcq9dHBsAAAAA2OcGBaFVdWmSi8enneRN3f3lpVU1ZTzWm3JyNuqNquoWuzU+AAAAALC/\nDZ0Reqep88OLLmSAt02d33kFNQAAAAAA+9CZA6+7aPy68fT2Dy+nnFP60NT5DVZQAwAAAMBgZZ9N\n2DOGzgi9/tT55xZdyADTY07XBAAAAAAw09Ag9IKp81X+PmNj7OmaAAAAAABmGhqEfmXq/IaLLmSA\njYc1bTwwabomAAAAAICZhu4ResX4dWM25iqD0A1fXEENAAAAAMPZIxT2jKEzQj82dX77RRcywB2m\nzqdrAgAAAACYaWgQ+oGJ95XkO6qqNrt40cZjfUeu+XuUD2xyOQAAAADANQwKQrv7b5N8fqLp+knu\ntZSKZrtXkosmzr/Q3e/fxfEBAAAAgH1s6IzQJPmLjGaDbszKfMriy9nU5Fid5C93cWwAAACA+XVS\n+/yAdTJPEPqHE+8ryYOq6j4LrudaxmM8OKMAdGM5/u8ve1wAAAAAYH3ME4T+fpLPjt9vhJK/XVW3\nWHhVY1V18yQvyjX3Bv1ckt9b1pgAAAAAwPoZHIR295VJfj0nZ2V2kpsleWVV3XjRhY37fGWSSzaa\nxmM+r7uvWvR4AAAAAMD6mmdGaJL8UpJPTJx3ktsneXdVfe+iiqqqf5nkb8Z9T84G/cS4BgAAAIC9\nr/f5AWtkriC0u7+U5LHTzUlukOTFVfWnVfU9VTVvwJoa+Z6qelVGy/AvzsnZp5XkRJJ/NZ6ZCgAA\nAAAw2Jnz3tDdr66qpyT5hZz83cDGnqHfPj7+qapen+QtSQ4n+aeM9vb8/Pja642PGyc5mOSeSe6T\n5Kbj/iafTr/R/89296vnrRcAAAAAYO4gNEm6+5eq6rpJnpxrh6HJKNB8xPgYqibe91T7v+9uS+IB\nAACA/cXyctgz5l7CvqG7fzbJ45J8ZbJ54qg5j+kdKGrc9+O6+6nbrRMAAAAAYNtBaJJ0939LcnmS\nv8rJQPOrH895bNjo5w1JLh+PAQAAAMDuu7iqDk8cj1t1QbBd21oaP6m735fkPlX14CQ/neTbcjIQ\nHToBfPL6P0vyq9398p3WBgAAAMCOHOnug6suAhZhx0HohnFw+fKqunmShya5f5K7J7lVrjlT9Bq3\nJfn7JG9L8rokL+vujy2qJgAAAIBVKnuEwp6xsCB0Q3d/PMnzx0eq6qwklyS5fpLzMgpFr0rymST/\n0N3HFl0DAAAAAMCkhQeh08ZB59+PDwAAAACAXbejhyUBAAAAAOwHglAAAAAAYO0JQgEAAACAtScI\nBQAAAADWniAUAAAAAFh7S39qPAAAAMBpq1ddALDBjFAAAAAAYO0JQgEAAACAtScIBQAAAADWnj1C\nAQAAAJahk7JHKOwZZoQCAAAAAGtPEAoAAAAArD1L4wEAAACWxdJ42DPMCAUAAAAA1p4gFAAAAABY\ne4JQAAAAAGDt2SMUAAAAYFnsEQp7hhmhAAAAAMDa25UZoVV1WZJvSnL9JOdm9PuQjyb5cJIPdPcX\ndqMOAAAAAOD0tLQgtKrOTfKTSX4qySWnuLSr6l1J/izJq7r7tcuqCQAAAAA4PS0lCK2qb0zyB0lu\nmqS2ujzJ3ZLcNcnPVNUHkzwvyQvMFAUAAAD2q0pS9giFPWPhe4RW1YOSvDbJzTL6O98Djxoft03y\nn5L8XVX94KLrAwAAAABOPwsNQqvqxkl+K8l5ORlwfvXjUxzJtUPRGyb5rar6k6r6mkXWCQAAAACc\nXha9NP4Xk1yUawegn0vyR0neleTj47brZjT783ZJvjXJjcbXTwaoleS7kry+qh7Y3f+04HoBAAAA\ngNPAwoLQ8cORHp5rhpjHkvxckmd395e3uP9OSR6Z5H/OaFn95OzQOyd5Q1Xdq7uPLKpmAAAAgKWy\nRyjsGVsuja+qb6uqiwb09a0ZzfJMRuHliSTf393P2ioETZLufnd3PyXJLZP8eJJP5uQeo0ly6yS/\nU1UL39cUAAAAAFhvQ0LFP0vyqar6aFW9tKqeUVUPq6pbT113i4n3neTl3f3f5y2ou090928k+fok\nL8s1w9D7J3nKvH0CAAAAAKe3oUvjK8nNk1yS5CFfbay6IslfJ3lnkksnru0kf7yTwrr7C0m+p6qe\nk+QncnKZ/L+uqt/o7k/upH8AAACApeqkLI2HPWNoEDr98KMNFyb5lvGxcd3G5w+sqquSvD3J+7r7\nxHYK7O7/taouTfLd46bzk/xMkv9jO/0BAAAAAKefoftt1sTRU8f05xvn/yLJb2Y0Y/SKqnpTVT2v\nqn64qu5WVfM8qOnxSa7MyaD1EXPcCwAAAACc5oaEkfdIcteJ4xuSXDB1zWQgmhnvz0tyz/Gx4VhV\nvSejGaPvGL++c9aDlbr7E1X1R0keNW66RVXdubv/ZkD9AAAAAMBpbssgtLvfluRtk21VdZtcMxy9\na0b7h04ujZ+1C8ZkOHp2kruN791woqren1EounG8o7uvSPIXORmEJsntkwhCAQAAgL3LHqGwZ8yz\nPP2ruvuDST6Y5A822qrqSUn+fU7+Ff9SkutO3zqju8lw9Iwkd8go5NwIPbuqPpTkM1P33WQ7tQMA\nAAAAp59tBaGb+Oj4dWMf0Z9I8uokd586bjl131bhaCW5bU7uSbrx2b+uqoNJDmc0Y/Ud3X3lzr8M\nAAAAAGDdLDII/fD4dSPYvGt3/1aSl4+PJElVXZRrBqN3yyjonAw/h4Sjl2Q0a3Rj5ujGsvqNpfyH\nM9pzVDgKAAAAAKe5RQahb07y2STXyyio/MGqesr0w4+6+zNJ/mx8JEmq6roZBaKTAentMloqv5nJ\n2aHJNZfVP3rcdjyjvUgBAAAAdp89QmHPWFgQ2t3Hq+rlOTlD80ZJnp7k3wy494tJ/nJ8JEmq6twk\nd8nJYPRbMgpHNwLQjSX406bDUQAAAADgNHdgwf39UpITORlW/kxVPWY7HXX3l7v7zd39/O7+0XHf\nX/04yXuSvHc8XuWa4ajftwAAAAAAX7XQILS735PkRTkZSFaS/6uqtpwVOsC9x68bMz6f1913TnJh\nRrNFn5DkhTkZjgIAAAAAJFnsHqEbnpjkPhk9Hb4zWp7+C1V1/yT/W3e/d94Oq+pOGS25n9wX9BNJ\n0t1XJXnT+Ni4/jpJ7prk8u1/GQAAAAA7U9aswp6x6KXx6e7PJnlYko2HJG2Elw9I8q6q+t2qemBV\n1WZ9TKqq+yR5RZLzJpqPJ3njKWq4srvf2N3P2c7XAAAAAACsl2XMCE13v6OqHpLkvye5ICfD0DOS\nPHx8fK6q/jLJXyV5f5IPJbli3MXNktw5yQ8kuW+uudS+k/xZdx9ZRu0AAAAAwPpZShCaJN39uqq6\nX5I/SXLTnHyA0cZM0Osneej4OJXpp8NfneQpi6sUAAAAAFh3C18aP6m735nkDkkOjZsmn+q+McNz\nq2N6N42f6+53LLNuAAAAgIXofX7AGllqEJok3f357n58km9O8kcZPdF9MuQc8ldu49ondPezll0z\nAAAAALBelh6EbujuN3f39ya5LMnPJXlDRsvch8wK/ZMkl3v4EQAAAACwHUvbI3Qz3f0PSZ6Z5JlV\ndZ0k35Tk65PcOqOQtJJ8Jclnk7w5yeu7++93u04AAACAHbG8/LRWVfdM8kMZPQj8koweIv4PGeVd\nL+zu16yuutPTrgehk7r7yiSvGR8AAAAAsK+NJ/79SpLHz/j468fH/1RVf5jkR7v7M7tZ3+lspUEo\nAAAAAKyLqjojye8lefBE85VJ3pvRFpF3SHLhuP1hSS6tqvuMJwuyZLu2RygAAAAArLmfzzVD0ENJ\nbt7d9+jub0pys4y2jNxweZLn72J9pzVBKAAAAMCSVO/vg+Gq6qZJ/veJpt/q7h/r7s9uNHT3l7r7\nqblmGPqYqrrLbtV5OhOEAgAAAMDOPSHJdcbvr0zyxFNc+++SfGz8vpL8myXWxZggFAAAAAB27mET\n7198qocgdffRJC+YaPruqjp7aZWRxMOSAAAAADgNVNUNk9wjyW0yemDRsSSfzuhBRoe7+9gO+v66\nJF870fTKAbe9IsnPjd9fkOS+SV693RrYmiAUAAAAYFnss5mquijJwYnj8iS3nL6uu2tJ4z88o2Xr\n35LRMvRZrqiqFyf55e7+220MM73H55sG3PP2JEeTbMwEvUsEoUslCAUAAABgYarqTkkeklHgeTDJ\nrVZUxyVJXpTRTMutXJDkhzN6cNEzkzyzu+eJsW8/8f5oTu7/uanuPlpVH8tohup0HyyBIBQAAACA\nRfqRjGZgrsx4qfrrktx0zlvPTvKMJLevqsd09/GB91028f7jc4SoH83JIPSyU1zHAghCAQAAAFgb\nVXWDjJaYzwpB35bkJUk+nOS8JF+X5AeT3Gzqukcm+WRO/eT3SRdOvP/8HOV+YeL9BXPcxzYIQgEA\nAACWpOwROulokncnOZzkEUmut6RxDuXae5BekeTR3f3S6Yur6slJnpzkaVMfPaGqXtXdrxgw5vkT\n7788R61XTby/7hz3sQ2CUAAAAAAW7eqMn8Y+cbyru48mSVU9MEsIQqvqAUkeNtV8NMm3dffhWfeM\nnxb/9Kr6XJJfnfr416rq9t199RZDnzXxfqtrJ01ee/amV7EQglAAAAAAFulZSZ7U3VdteeXiPXVG\n29M3C0Endfezq+ohSR4w0XzbjJbOv3CL26+ceH/ullXOvvaLc9zHNhxYdQEAAAAAa6v3+bGdL7n7\nH1cRglbVHZN861TzkST/cY5unjSj7ccH3DcZYp43x3jX2aQPlkAQCgAAAMA6+IEZbS/YWI4/RHe/\nLaMHKk26V1Xdaotbj0y8n+dJ9TeZeP/pOe5jGwShAAAAAKyD75rR9vvb6GfWPbP6nvT+ifc3qKrr\nbHrlNd1i4v3/GHgP2yQIBQAAAGBfq6rzk9x9qvnKJG/fRnd/OaNtesn9tPdOnd91q0Gq6pIkN5xo\net9W97AzglAAAACAZVj1/p4r2iN0Re6aa+dchwc87X2WtyY5NtV2+Rb3vCXJlyfO7z1gnOlw9fUD\n7mEHBKEAAAAA7He3m9H2ge10NN5T9ONTzbepqjNPcc+XkrxmoulRA4aavOZvuvtDw6tkOwShAAAA\nAOx3l81o+8gO+vvo1PkZSW65xT0vmHj/DVX10M0urKq7J3nQJveyJIJQAAAAAPa7m8xo+9gO+pt1\n7423uOcPc809SX+jqq41U7WqbpbkRRmFq0nyD0mev50imc+mU3oBAAAA2L4aH+yKi2a0fXEH/c26\n9wanuqG7u6p+JMkbklwnyU2TvLmqfj2jBzAdT3KPJD+Zk6Hq8SQ/2t1fntElCyYIBQAAAGC/O39G\n21U76G/WvdfZ6qbufkdV/UCS/3dc04VJ/u34mHZ1kp/o7lfsoE7mYGk8AAAAAJu5uKoOTxyPW3VB\nmzhrRttOZlnOCkLPHnJjd78syd2SvDLJiU0ue2OSb+7uQ9srj+0wIxQAAACAzRzp7oOrLmKbesH3\nDt7poLv/LsmDxvuB3jvJJRntCfoPSd7S3R/cQW1skyAUAAAAYFl2EsUxj2Mz2s7bQX+z7j06byfd\n/YkkL95BHSyQpfEAAAAA7HdXzmhbdBD6pR30xx4gCAUAAABgv/v0jLbr7qC/WffOGoN9RBAKAAAA\nwH73zzPabr6D/m4xcAz2EXuEAgAAACxJ2SN0t3x4RtulO+jvllPnx5N8dAf9sQeYEQoAAADAfvf+\nGW233U5HVXV2rj0j9IPdffV2+mPvEIQCAAAAsN+9I8mJqbaDVbWd1dAHk5w11fb2bVXFniIIBQAA\nAFiW3ufHPtHdX8ooDJ10fpK7baO7e89oe/02+mGPEYQCAAAAsA5eOaPt4dvoZ9Y9s/pmnxGEAgAA\nALCZi6vq8MTxuFUXdAq/M6PtseM9PwepqrslucdU85u7e9bDmNhnPDUeAAAAgM0c6e6Dqy5iiO5+\nd1W9Iddc2n7DJD+d5FkDu/nFGW3P32lt7A1mhAIAAAAsy6r3+DxN9gid8MwZbU+vqrtvdWNV/WSS\nB041fyjJby+iMFZPEAoAAADAWujuVyV5yVTzOUn+vKoeOuueqjqrqp6a5DkzPv6p7j624DJZEUvj\nAQAAAFioqnp5kpud4pJrfVZV79yi2wd39ycGDP+jSS5PcvOJtguTvLSqDmcUlH44yXlJvjbJo5Jc\nMqOf53b3nwwYj31CEAoAAADAot0hyaVz3nOXLT4f9NCj7v5UVX1nktcmucnUxwfHx1ZenOSJQ8Zj\n/7A0HgAAAGAZOql9fuxX3f2+JPdM8oY5bz2W5OlJHtndxxdeGCslCAUAAABg7XT3x5LcJ8n3J3lj\nTv34py8meUGSb+jup3X3iV0okV1maTwAAAAAC9Xdl626hiTp7s5omfuLq+pGGc0SvXVGe4ZeneRI\nkvcleWt3H11ZoewKQSgAAAAAa6+7P5nkj1ddB6sjCAUAAABYln28zyasG3uEAgAAAABrTxAKAAAA\nAKw9S+MBAAAAlqT2/9L4i6vq8MT5oe4+tLJqYAcEoQAAAABs5kh3H1x1EbAIlsYDAAAAAGtPEAoA\nAAAArD1L4wEAAACWZf/vEQprw4xQAAAAAGDtCUIBAAAAgLUnCAUAAAAA1p49Qveo/srRHP/Ah7e+\nsGpQf3X22YOuO3DOOcP6OzBs3Jw57I9YDbwuZ5wx7LqB35ecNWzcPnPguAP7G1pfnznsdxV9YODv\nNM4YOO7Qn2+SPmvY96bPXOzYJ4Z+LYu+bmh9Zw38Hg687MTAP4JD6+uh/Q2tb+Cf1dSw6wZ/vYO/\nL+cNuu5zB6436Lo/PXDJoOtedeCbB13XQ38tOfDnMfTntqr+Fj7uGqmhe4gteK+xOrHYcQd/HQPH\nHdrf0K+jjg/r8KyB/Z01tL7jw647MPC6oT+PAwO/3qHfvwNXD+1vseMO/bktvL8FXzf4+9cDrxvY\nX4b+PI4P/Qdhjp/x1cP6rKNXDxt4YI11bGB/JwZ+zQN/JkPr62PHBvY38B+FoeMePTrouhNXD/v+\n9dDvc29dX58YVtt+M/i/i8DSmREKAAAAAKw9QSgAAAAAsPYEoQAAAADA2rNHKAAAAMAydBa+tzew\nfWaEAgAAAABrz4xQAAAAADZzcVUdnjg/1N2HVlYN7IAgFAAAAIDNHOnug6suAhZBEAoAAACwLPYI\nhT3DHqEAAAAAwNoThAIAAAAAa8/SeAAAAIAlqCRlaTzsGWaEAgAAAABrTxAKAAAAAKw9QSgAGgRx\nUAAAIABJREFUAAAAsPbsEQoAAACwLPYIhT3DjFAAAAAAYO0JQgEAAACAtScIBQAAAADWnj1CAQAA\nAJak2iahsFeYEQoAAAAArD1BKAAAAACw9gShAAAAAMDas0coAAAAwDL0+NjfLq6qwxPnh7r70Mqq\ngR0QhAIAAACwmSPdfXDVRcAiWBoPAAAAAKw9QSgAAAAAsPYsjQcAAABYktr/e4TC2jAjFAAAAABY\ne4JQAAAAAGDtWRoPAAAAsCyWxsOeYUYoAAAAALD2BKEAAAAAwNoThAIAAAAAa88eoQAAAABLUvYI\nhT3DjFAAAAAAYO0JQgEAAACAtScIBQAAAADWnj1CAQAAAJbFHqGwZ5gRCgAAAACsPUEoAAAAALD2\nBKEAAAAAwNqzRygAAADAMnRS9giFPUMQCgAAAMBmLq6qwxPnh7r70MqqgR0QhAIAAACwmSPdfXDV\nRcAiCEIBAAAAlsXSeNgzPCwJAAAAAFh7glAAAAAAYO0JQgEAAACAtWePUAAAAIAlqCRlj1DYM8wI\nBQAAAADWniAUAAAAAFh7glAAAAAAYO3ZIxQAAABgWdomobBXmBEKAAAAAKw9QSgAAAAAsPYEoQAA\nAADA2rNHKAAAAMCSlC1CYc8wIxQAAAAAWHuCUAAAAABg7QlCAQAAAIC1Z49QAAAAgGXo8QHsCWaE\nAgAAAABrTxAKAAAAAKw9S+MBAAAAlqROrLoCYIMZoQAAAADA2hOEAgAAAABrz9J4AAAAADZzcVUd\nnjg/1N2HVlYN7IAgFAAAAGBZetUF7NiR7j646iJgESyNBwAAAADWniAUAAAAAFh7glAAAAAAYO3Z\nIxQAAABgSWr/7xEKa8OMUAAAAABg7QlCAQAAAIC1JwgFAAAAANaePUIBAAAAlqGTtE1CYa8wIxQA\nAAAAWHuCUAAAAABg7VkaDwAAALAkZWU87BlmhAIAAAAAa08QCgAAAACsPUEoAAAAALD27BEKAAAA\nsCz2CIU9w4xQAAAAAGDtCUIBgP+fvfuOl60qDz7+e+hN6YrSLohERKkXO0psFOurECUmRmOL0Rg1\naqKJb9RorDG+0URzTYRoopFgVwQjTY2oXFAQBRUFREXkUqTX+7x/7Llxzp41c6btM3P2/X0/n/2B\ns/astdfs59w5M8+sIkmSJEmtZyJUkiRJkiRJUuu5RqgkSZIkSVIDAgjXCJXmhiNCJUmSJEmSJLWe\niVBJkiRJkiRJrWciVJIkSZIkSVLruUaoJEmSJElSEzKrQ9JccESoJEmSJEmSpNYzESpJkiRJkiSp\n9UyESpIkSZIkSWo91wiVJEmSJElqSLhEqDQ3HBEqSZIkSZIkqfVMhEqSJEmSJElqPafGS5IkSZIk\nNWX5T43fISJWd/28KjNXzaw30gRMhEqSJEmSJKmfNZm5ctadkKbBqfGSJEmSJEmSWs9EqCRJkiRJ\nkqTWc2q8JEmSJElSQ2L5rxEqtYYjQiVJkiRJkiS1nolQSZIkSZIkSa1nIlSSJEmSJElS67lGqCRJ\nkiRJUhMSWOsiodK8cESoJEmSJEmSpNYzESpJkiRJkiSp9UyESpIkSZIkSWo91wiVJEmSJElqikuE\nSnPDEaGSJEmSJEmSWs9EqCRJkiRJkqTWc2q8JEmSJElSQ8Kp8dLccESoJEmSJEmSpNYzESpJkiRJ\nkiSp9UyESpIkSZIkSWo91wiVJEmSJElqSrpIqDQvHBEqSZIkSZIkqfVMhEqSJEmSJElqPROhkiRJ\nkiRJklrPNUIlSZIkSZIaEi4RKs0NR4RKkiRJkiRJaj0ToZIkSZIkSZJaz0SoJEmSJEmSpNZzjVBJ\nkiRJkqQmZOeQNBccESpJkiRJkiSp9UyESpIkSZIkSWo9E6GSJEmSJEmSWs81QiVJkiRJkhoQQKSL\nhErzwhGhkiRJkiRJklrPRKgkSZIkSZKk1nNqvCRJkiRJUlPWzroDktZxRKgkSZIkSZKk1jMRKkmS\nJEmSJKn1TIRKkiRJkiRJaj3XCJUkSZIkSWpIZM66C5I6HBEqSZIkSZIkqfVMhEqSJEmSJElqPROh\nkiRJkiRJklrPNUIlSZIkSZKakJ1D0lxwRKgkSZIkSZKk1nNEqCRJkiRJkvrZISJWd/28KjNXzaw3\n0gRMhEqSJEmSJKmfNZm5ctadkKbBROiQImJXYF9gF2AbYBPg2s5xEfDdzLxrdj2UJEmSJEnzJSFd\nJFSaFyZC+4iI+wGHA48GHkmV/Bzkpog4A/gAcFJmrm22h5IkSZIkSZKGZSK0S0RsDrwK+B3gASNW\n3xJ4Quf4XkQ8JzNXL1JHkiRJkiRJ0hJw1/iF7gm8idGToHX7AmdFxEsn75IkSZIkSZKkSTkidHgX\nA2cCPwJ+BdwEbAccABwF7Fp7/EbAeyPidndTkyRJkiRp/RQuESrNDROhg30fOB74aGb+vN+DImIj\n4LnAu4GtaqffGxFnZOYPG+ulJEmSJEmSpIGcGl92OvCozNw3M985KAkKkJl3ZuYHgYcD19VObwL8\nXUP9lCRJkiRJkjQER4Qu9GvgsMw8c5zKmXl+RDwfOLF26siI2CEz10zcQ0mSJEmStHykc+OleeGI\n0C6Zee24SdCuNj4BnF8r3hA4cpJ2JUmSJEmSJI3PRGgzvlgo23PJeyFJkiRJkiQJMBHalJ8WynZa\n8l5IkiRJkiRJAlwjtClbFMpuWfJeSJIkSZKk2UmItbPuhKR1HBHajL0KZVcseS8kSZIkSZIkASZC\npy4iNgKeUjh19lL3RZIkSZIkSVLFROj0PZne9UCvAb42g75IkiRJkiRJwjVCpyoiNgPeWjh1XGbe\nudT9kSRJkiRJM5Y56x5I6nBE6HS9Fdi7VnYt8PYZ9EWSJEmSJElShyNCpyQing68vHDqVZl51ZBt\nvBB4IcBmxY3nJUmSJEmSJI3DEaFTEBEHAx8unPpEZn5o2HYyc1VmrszMlRuz6fQ6KEmSJEmSJK3n\nHBE6oYjYE/g89AzhvAh47tL3SJIkSZIkzQ2XCJXmhiNCJxAROwNfpneX+MuBIzLzhqXvlSRJkiRJ\nkqQ6E6Fjioh7UCVB96id+iXw2My8bOl7JUmSJEmSJKnEqfFjiIjtgVOB+9VOraFKgv5w6XslSZIk\nSZLmTaRz46V54YjQEUXEtsB/Aw+onbqGKgn6vaXvlSRJkiRJkqRBTISOICK2pkqCHlg7dR3w+Mw8\nb+l7JUmSJEmSJGkxJkKHFBF3B74EHFw7dT1weGaes/S9kiRJkiRJkjQM1wgdQkTcDTgFeFDt1A1U\nSdBvLX2vJEmSJEnS3HONUGluOCJ0ERGxFXAy8JDaqRuBIzPzG0vfK0mSJEmSJEmjMBE6QERsCZwE\nPKx26ibgqMz8n6XvlSRJkiRJkqRRmQjtIyK2AD4PHFo7dTPwhMz86tL3SpIkSZIkSdI4XCO0ICI2\nAz4DHFY7dQvwxMw8c8k7JUmSJEmSlpcE1s66E5LWcURoTURsAnwSeGzt1C3AkzLz9KXvlSRJkiRJ\nkqRJmAjtEhEbAScAR9ZO3Qo8NTNPXfpeSZIkSZIkSZqUU+MXegbwlEL5rcA7IuIdE7S9OjOfP0F9\nSZIkSZIkSWMyEbrQxn3Kt+kck7huwvqSJEmSJGkZCZLInHU3JHU4NV6SJEmSJElS65kIlSRJkiRJ\nktR6To3vkpnHA8fPuBuSJEmSJEmSpsxEqCRJkiRJUlNcI1SaG06NlyRJkiRJktR6JkIlSZIkSZIk\ntZ5T4yVJkiRJkpri1HhpbjgiVJIkSZIkSVLrmQiVJEmSJEmS1HomQiVJkiRJkiS1nmuESpIkSZIk\nNSGBtbPuhKR1HBEqSZIkSZIkqfVMhEqSJEmSJElqPROhkiRJkiRJklrPNUIlSZIkSZIaEpmz7oLW\nAxGxI7ASOKTrvzt1PeS5mXn8DLo2V0yESpIkSZIkSctQROwEfAPYfdZ9WQ6cGi9JkiRJkiQtT5th\nEnRojgiVJEmSJEmSlr+rgHOA1cDZwGdm2535YyJUkiRJkiSpKa4RqmZdAxwDnJ2Zl3WfiIjZ9GiO\nmQiVJEmSJEmSlqHMvB44cdb9WC5cI1SSJEmSJElS6zkiVJIkSZIkqRHp1Pg5EhE7AocA9wHuDtwB\nXA18H1idmXfMsHtaAiZCJUmSJEmS1JiI2A5Y2XUcDOxWf1xmNrKoZUQcDfwp8HCg3zVuiIgTgHdk\n5g+b6Idmz0SoJEmSJEmSpiYiHgA8gSrhuRLYY0b92Bn4D+BRQzz8bsDzgN+PiDcDb850OG/bmAiV\nJEmSJEnSND2fagTmzETE3sAZwL1GrLoJ8CZgn4j4/cy8a9p90+yYCJUkSZIkSWpC4hqhMxAR2wP/\nTTkJeg7wGeASYHNgb+B3gXvXHncs8Cvg5c31VEvNRKgkSZIkSZKWwu3ABcBq4HeAbRq6zip61yC9\nAfi9zPxs/cER8TrgdcAbaqf+NCJOycwvNtJLLTkToZIkSZIkSZq2O+nsxt51nJeZtwNExOE0kAiN\niMcBT6sV3w48OjNXl+p0dot/Y0RcB7yndvofImKfzLxz2n3V0ttg1h2QJEmSJElSq7wduHtm7p+Z\nz8vM92fm2euSoA17faHsjf2SoN0y8/9RTanvthfV1PlFRcQREZENHMcPc30tzkSoJEmSJElSU9Yu\n82MMmXlFZt4yXu3xRcS+wKG14jXAu0Zo5rWFsheP3SnNFafGS5IkSZIkqQ2eWSg7bpSRqJl5TkSc\nAxzcVfyQiNgjMy9ZpPptwJXDXmsEv26gzfWSiVBJkiRJkiS1wRGFshPHaOdEFiZC17X9/kGVMvN0\nYKcxrqcl4tR4SZIkSZIkLWsRsSVwUK34ZuDcMZr7aqGsPuVey5AjQiVJkiRJkhoSmbPuwvriAHoH\n/K0ec7f3s4E7gI27yuojRLUMOSJUkiRJkiRJy939CmUXj9NQZ03Rn9WK7xMRDihc5kyESpIkSZIk\nablbUSi7bIL2flr7eUNgtwna0xwwESpJkiRJkqTlrrRJ0eUTtFeqe88J2tMcMBEqSZIkSZLUlMzl\nfSwf2xXKbpygvVLd7SdorzER8cGIuLV+1B5WfExE7D6TTs+IaxtIkiRJkiSpnx0iYnXXz6syc9XM\netPfloWyWyZor1R3iwnaa9LGwKaLPGYjynnAmH535peJUEmSJEmSJPWzJjNXzroTQ9i4UFYfFTmK\nUiJ0kwna0xwwESpJkiRJktSEBNYuq+nlbTPJzS/VncvRk5n5HOA5M+7GsuAaoZIkSZIkSVru7iiU\nbT5Be6W6t0/QnuaAiVBJkiRJkiQtdzcXyqadCL1pgvY0B0yESpIkSZIkabm7ulC21QTtleqWrqFl\nxDVCJUmSJEmSGpGQrhG6RK4slO0yQXu7DnkNLSOOCJUkSZIkSdJyd0mhbPcJ2tut9vNdwE8naE9z\nwESoJEmSJEmSlrsfFMr2GqehiNiE3hGhP87MO8dpT/PDRKgkSZIkSZKWu28Da2tlKyNinGUhVwIb\n18rOHatXmismQiVJkiRJkpqSubyPZSIzb6JKhnbbEjhwjOYeUSj7yhjtaM6YCJUkSZIkSVIbnFwo\nO3qMdkp1Sm1rmTERKkmSJEmSpH52iIjVXccLZ92hAf6zUPbczpqfQ4mIA4FDasXfzMzSZkxaZsZZ\nJ0GSJEmSJEnrhzWZuXLWnRhGZl4QEV9j4dT2HYFXAG8fspm3FsreP2nfNB8cESpJkiRJktSUWa/x\nuZ6sEdrlzYWyN0bEQYtVjIiXAofXin8CfHQaHdPsmQiVJEmSJElSK2TmKcBnasWbAqdHxJNKdSJi\n44h4PfDewumXZeYdU+6mZsSp8ZIkSZIkSZqqiDgJuPeAh/Sci4jvLNLsUZn5iyEu/wLgYGCXrrK7\nA5+NiNVUidJLgM2B+wLPAnYutPO+zPzCENfTMmEiVJIkSZIkqQkJrF2W08un4f7A7iPW2X+R80Nt\nepSZV0XE44HTgJ1qp1d2jsWcALx8mOtp+XBqvCRJkiRJklolMy8EHgR8bcSqdwBvBI7NzLum3jHN\nlIlQSZIkSZIktU5mXg48EngG8HWqMbr93AgcB+yXmW/IzLVL0EUtMafGS5IkSZIkaaoyc8Ws+wCQ\nmUk1zf2EiLgH1SjRPanWDL0TWANcCJydmbfPrKNaEiZCJUmSJEmSGpHgwMK5kZm/Aj4/635odpwa\nL0mSJEmSJKn1TIRKkiRJkiRJaj2nxkuSJEmSJKmfHSJiddfPqzJz1cx6I03ARKgkSZIkSVJTctBG\n5cvCmsxcOetOSNPg1HhJkiRJkiRJrWciVJIkSZIkSVLrmQiVJEmSJEmS1HquESpJkiRJktSEBNYu\n+zVCpdZwRKgkSZIkSZKk1jMRKkmSJEmSJKn1TIRKkiRJkiRJaj3XCJUkSZIkSWpKukaoNC8cESpJ\nkiRJkiSp9UyESpIkSZIkSWo9p8ZLkiRJkiQ1xanx0txwRKgkSZIkSZKk1jMRKkmSJEmSJKn1nBov\nSZIkSZKkfnaIiNVdP6/KzFUz6400AROhkiRJkiRJjcg2rBG6JjNXzroT0jQ4NV6SJEmSJElS65kI\nlSRJkiRJktR6JkIlSZIkSZIktZ5rhEqSJEmSJDUhgbVrZ90LSR2OCJUkSZIkSZLUeiZCJUmSJEmS\nJLWeiVBJkiRJkiRJrecaoZIkSZIkSU3JnHUPJHU4IlSSJEmSJElS65kIlSRJkiRJktR6JkIlSZIk\nSZIktZ5rhEqSJEmSJDXFNUKlueGIUEmSJEmSJEmtZyJUkiRJkiRJUus5NV6SJEmSJKkRCWuX/dT4\nHSJiddfPqzJz1cx6I03ARKgkSZIkSZL6WZOZK2fdCWkanBovSZIkSZIkqfVMhEqSJEmSJElqPafG\nS5IkSZIkNSEhc+2seyGpwxGhkiRJkiRJklrPRKgkSZIkSZKk1jMRKkmSJEmSJKn1XCNUkiRJkiSp\nKWtz1j2Q1OGIUEmSJEmSJEmtZyJUkiRJkiRJUuuZCJUkSZIkSZLUeq4RKkmSJEmS1JR0jVBpXjgi\nVJIkSZIkSVLrmQiVJEmSJEmS1HpOjZckSZIkSWpCJqxdO+teSOpwRKgkSZIkSZKk1jMRKkmSJEmS\nJKn1TIRKkiRJkiRJaj3XCJUkSZIkSWpK5qx7IKnDRKgkSZIkSZL62SEiVnf9vCozV82sN9IETIRK\nkiRJkiSpnzWZuXLWnZCmwTVCJUmSJEmSJLWeI0IlSZIkSZIakmvXzroLkjocESpJkiRJkiSp9UyE\nSpIkSZIkSWo9E6GSJEmSJEmSWs81QiVJkiRJkhqRkDnrTkjqcESoJEmSJEmSpNYzESpJkiRJkiSp\n9UyESpIkSZIkSWo91wiVJEmSJElqQgJrXSNUmheOCJUkSZIkSZLUeiZCJUmSJEmSJLWeU+MlSZIk\nSZKakmtn3QNJHY4IlSRJkiRJktR6JkIlSZIkSZIktZ6JUEmSJEmSJEmt5xqhkiRJkiRJDUgg1+as\nuyGpwxGhkiRJkiRJklrPRKgkSZIkSZKk1jMRKkmSJEmSJKn1XCNUkiRJkiSpCZmQa2fdC0kdjgiV\nJEmSJEmS1HqOCJUkSZIkSVI/O0TE6q6fV2Xmqpn1RpqAiVBJkiRJkiT1syYzV866E9I0mAiVJEmS\nJElqSK7NWXdBUodrhEqSJEmSJElqPROhkiRJkiRJklrPqfGSJEmSJElNybWz7oGkDhOhc+oGrl3z\n5TzxslrxDsCaBSXDLjVy65QfJyjFQ7NkPOaPMZkvxmO+GI/5YjzmjzGZL8ZjvrQ5HrvPugOS2s1E\n6JzKzB3rZRGx2p3a5ofxmC/GY/4Yk/liPOaL8ZgvxmP+GJP5Yjzmi/GQpPG5RqgkSZIkSZKk1nNE\nqCRJkiRJUgNu4NpTvpwn7jDrfkyorUsxaD1kInR5WTXrDmgB4zFfjMf8MSbzxXjMF+MxX4zH/DEm\n88V4zBfjsYxk5hGz7oOk34jMYXfbkSRJkiRJkqTlyTVCJUmSJEmSJLWeiVBJkiRJkiRJrecaoXMs\nInYEDgHuA9wduAO4Gvg+sDoz75hh9zSiiNgLOADYFdgSuAX4BXB+Zn5vln1bahGxK7AvsAuwDbAJ\ncG3nuAj4bmbe1XAfjEdHRGwB7EV1L3YG7gZsDtwKXAdcBXwnMy9ruB/GZI4Yj/liPPqLiA2B/YD7\nATtR3Z/bgOuBS4EfZuYlU77mLsDBwB7AVp3rXQlcQPV6uXaa19NgxmOhzr+J+1O919oO2Bq4i9/8\nTf92Zl7a4PV9veoSEZsADwJ2B3ag+h29CbiM6vdzqq9PhesbD0nq4hqhcygijgb+FHg4EH0edgNw\nAvCOzPzhUvVtOYqI7YCVXcfBwG71x2Vmv3s9ybU3B14M/BFw3wEP/Rnwr8B7MvO6afdj1iLifsDh\nwKOBR1IlPwe5CTgD+ABw0rQ+wBiP//1wdDDV68vDgP2pvmwZZobAGuATwIcy81tT6s96H5NRREQA\npwOPKpw+MzMPm7D99T4eEXE88AdTau6USTZIMB6DRcRvAy8EjqL6wniQNcDXgZOAEzPz6jGutyHw\nXOAlVEmFfq4GPgz8XWb+fNTrzKuIuJQqkdOEf8vM54xSYX2PR0lEPB54PvAEYItFHn4V8HFgVWZ+\ndwrX9vWqJiIeDbwSOIwqAdnPD4APAh/IzJumdG3jIUn9ZKbHnBxUI7HOAHKE4zbg9XSS2h4J8ADg\nz6kSxT8Z9l420I+HU41EGSWevwKePOt7OKXnv3nnd/O7I96D+nEBsNJ4TC0u95swHuuOTwC7GJMl\nj9/LBtybM4zHVO7x8VP6N5LAycajkRjtw+jvl7qP3xvzmuePeJ0bgBfM+n5N8b6P+vs4ynGc8Zgo\nNnsBp41579dSffG89QTX9/Vq4f3YlepLy1Fj8TPgcVO4vvHw8PDwGHC4RuiciIi9gbMpj/IZZBPg\nTcB/dL4ZV/VN+NuAY6imSC25iHga1Rug3UesuiPw6Yj44+n3asndk+p38wETtrMvcFZEvHTcBoxH\nI54GnBcRK8epbExG15na9taG2jYec8R49BcRzwbOYfT3S5Nc82HAN4EHjlh1K2BVRLx9+r1qnbOG\nfaDxWCgiHkL1b+K3x20CeBHw9Yi4xxjX9/WqS0Q8AlhNNQp0VDsDJ0fEiya4vvGQpEW4RugciIjt\ngf8G7lU4fQ7wGeASqhF2ewO/C9y79rhjqb7Je3lzPdUwOm/Q/xPYuHZqLfB54GvA5VRvOPanil33\n9KUA3hcRV2Tmp5rv8UxcDJwJ/Ijq9/YmqjWsDqCa4rhr7fEbAe+NiNszc9UoFzIei0rgQqqRtxcD\nP6UaNXM71YfGnYEDqZY22KpWdzvg1Ih4UGb+YNgLGpPRRcQGwHEsPtVxnLaNx2B3UK3NPY4fj1rB\nePQXEa8A3l04lcC3qd5L/Zzq78pGwLZUo+APAB7MGO97O19AnES1dnLd6Z1rXka1BuP9gWd1rtvt\nNZ14vGfU68+Z71OtMTmJbeldnugm4GPDVDYeC0XEnsAplJeGuAL4LHAe1fIAG1OtofsQ4InAZrXH\n3x/4UkQckkPuQ+Dr1UKdpaC+QDke36eKx4+ofud3pFqi6Iks/H3eAHh/RFydmSeOeH3jIUnDmPWQ\nVI+EaoppfXrC9fSZnkD1x+2vC3USOHLWz2fWB/CePvfmNqrE8j9Tbcqz4PyUrr0l1Rvw+rUvAvbp\nU2c7qmR3vc51wE6zvp8T3IsVtefzPeDVwM6L1NsIeAFVMq4Uw72Nx0Rx+a3O8/974AiGnApH9UXM\nn1MtsF+/N19jyOU5jMnYcXtl7bl/o3A/zhijXePR+/yOrz2vS5fw2saj/705lurDfP15fhzYY4j6\ndweeCXwZ+N0hr7kB1Wyd+jWvAB42IIYfKNS5Hdhv1vdx1kefe/Mh4zH2/fxi4bndSjUwYuMB9bYH\nPlKom8Brh7y2r1cLn9vmnedef26/Bo4dUG9H4D8K9W4Adhvh+sbDw8PDY8hj5h1Y3w/gcYU/Prcx\nxJqIVBsq1ev+CNho1s9rxvf0PVQjeM6jWvz7xcAhwCZdj7m0fu+mdO239InJdovU2xA4sVD3+Fnf\nzwnuxYrOczgNeOQY9fejkLAGPmc8ZhrXQzuvUfV78yhj0tg93xu4ues5r6HafbZ+L84Yo23j0fvc\njq89p0uX8NrGo/z89qb3y7HbgWPGbG/YL25eULinVwMrhqj77mn8G23TQTXy7NeF+/Jw4zHW/dyn\n8JwSeNoIbby/UP+XwAZD1PX1auHzqn9hmZ3XrYOGrP+PhfqfHOH6xsPDw8NjyGPmHVjfD+ArhT88\nrxuh/pcK9Z896+c143t6L2DzRR5zaf2+TeG62xTe4N8FPGLI+tt33nx2178T2HPW93TM+7EtQybH\nBrTx9MLv953ADsZjprF9WyEu7zMmjdzrDah2uu5+zr9H74jrkT/UG4++z+v42nO6dImuazz6P7dT\nC7/vT2/4mhtS3nBx2NGkm1ItOVKvP/IXg205gD8o3I/vG4+x7+frCs/nUyO2sWXhdSPpM8K2q56v\nV72/X6X7+KIR2tiEahBHvY0DhqhrPDw8PDxGONwsaYYiYl+q0VXd1gDvGqGZ1xbKXjx2p1ogM6/I\nzFtmcOln0bsm0Bcy82vDVM7Mq4F31oo3pBoBsexk5rWZeeaEbXyCalfYbhsCRw5R3Xg0598LZfcf\nop4xGd2rgId2/fyFzCzd/3EYj/liPAoi4onAo2vFH+78fWjSEfRuuHh+Zn50mMqZeRvVMkZ16/N7\ntOcVyv51yLrGo9f9CmVDrbW6TmbeBHy6cOq3Fqnq69VCD6faJLTb5cC/DNtAZt4OvLlwapjNi4yH\nJI3AROhsPbNQdlznD+FQMvMcqnUvuz0kImayW/p6rhTPD4zYxr9RTTvudux43WmNLxbK9hyinvFo\nTmkDmNJmb3XGZAQRsQ/wpq6i64E/muIljMd8MR5lf177+TaqLwiaVorHP4/YxmepRlmSuVihAAAg\nAElEQVR1e0pETH3Ts3kXEXvT++X/HcCHh2zCePQq7fB+4RjtlOrUk3p1vl4t9JhC2X9m5l0jtvMp\n4MZa2e9ERH3zozrjIUkjMBE6W0cUykbaHXBAnVLbakhEbM3CUVtQrQt0yijtZOYa4Ixa8e6dhMj6\n6qeFsp0GVTAejavvNAvVen19GZPRRMSGVB9KNu0qflVm/mxK7RuPOWI8yiLit4BH1Io/n5lXNXzd\nAB5fODXSKNSsdt7+TK14c+BRY3ZtOSuNBv3sMLE0Hn2V/u4OPZiiSz35BdWGS0W+XhXtVyg7a9RG\nMvNOqg3Bum1N7+vg/zIekjQ6E6EzEhFbAgfVim8Gzh2jua8WyurfuqtZD6WaQtLtG2N8EwzGs640\nUmOxpQ+MR7MOKZSVRol2MyajeQ0L7/OpmfnBKbZvPOaL8Sg7plA20tTfMf0WvaPtfpSZV47RVpvi\nMZaI2Ah4duHUsNOGjUfZJYWyXcdop1Rn0N90X6967Vgou2zMtkoDAA4b8HjjIUkjMhE6OwfQe/9X\nd74JHNXZVNOLuh08Vq80rtL9Hvmb4I6vD9n++mKvQtkVi9QxHs16daHsS4vUMSZD6qwf/YauopuY\n/jpdxmO+GI+yxxXKvrEE1zUe0/UEemdyXM7ifzfWMR5lpxXKxpkRVl93/XZg0NqSxqPXdoWy68ds\n67pC2aB7YjwkaUQmQmentMD5xeM01FlTtD5d8j6db+C1NKYWT8rfwi+2aH0rdX6Hn1I4VZ82VGc8\nGhARG0fEPwKPrZ26CvjIItWNyRA6v/P/RrV77Dqvy8zSyJ9JGI/hbRERr42IL0TEjyPi+oi4LSKu\niIjvRcSnIuIVEbH/BNcwHjWd5SEeXCtek5k/73rM1hHxkk5sLu/E5caIuDQizoqIt0fEYyJi1Pe7\n04zHT6l2X+627OIxoecXyo7LzLVD1jceZV+gd9ThH0XE7sM2EBHPBA6sFX8kM68dUM3Xq16lmUqb\nj9lWaSbUoOnpxkOSRmQidHZWFMrGnUIBvdMoNgR2m6A9jWZFoWzceP4cqE9nGWZzoDZ6Mr2jSK5h\n8EgFMB5TFRErIuIlwAX07l6awAs6O88OsqJQZkx6vZaFoy++DryvgeusKJQZj7Idgb8FjqJ6Xnej\nSlTvBNwfeCrwbuA7EfE/EfHkMa6xolC2vsdjbxaukQvwo3X/ExEvpBpV+D6q2OxCFZctgd2Bh1At\nMfFl4PyIeNoI115RKBsrHp3pqT+vFe8yxOYnrRAR96Z3xGECx43QzIpC2Xofj84ssvrf5C2BUzqb\nUw0UEU8FPlQrvpLq79AgKwpl6/vr1dWFstJ0+WGUNsHabcAAlxWFsvU9HpI0kInQ2Slt9nL5BO2V\n6i6246OmZ2rx7LxJr0/9Xu9iGRGbAW8tnDpuiCUkjMeIIuLrEfGdruO8iLg4Iq6nWofsfVSJiW63\nA8/LzPrmEyXGZBERsR/w+q6iW4E/HGHU1CiMRzMeBnwmIk6IiLuPUM949Cp9+P51RGwaEZ+j2jH8\nbkO2tS/wiYhYNWTCq+n3aBsCO0zQ3nLyB/SuX/jlzLx0hDaMRx+ZeRLwMqrk8jq/RfXFzAci4vCI\nuGdnRscWEbFnRBwbESdT7VDePWpxDXD4EBtY+XrVq/T8V47ZVqneRsD2fR5vPCRpRCZCZ6e0lsyN\nE7RXqtvvD6amr+l4bhIRW03Q3nL0VnoTb9cCbx+irvEY3X7A/l3HfsB96J9oOA14cGYOO6rHmAzQ\nSc78G9CdpHljZv6goUsaj9FdA/wE+D7VB8X62tzdjgHOiYjSB9QS49HrXoWyG6mW4XhirTypRrJd\nSBWbfl8evAD41BBT5X2PNgWd3d7/sHBq2E2S1jEeA2Tme6lG3V7aVbw58CLgZOCXVF9c3kQ19fmj\nwOG1Zj4L7J+Z5w1xSV+vepVmKtVfpxYVEQcAO/c53S9ZbzwkaUQmQmdny0LZYjthD1KqW1pjRs0w\nnlMUEU8HXl449aohRiqA8WjS+cAjM/MxmfmdEeoZk8H+imoTvXXOAd7Z4PWMx+K+S/WFzKOBHTJz\n+8y8T2bum5n3pvqS4FDg7yl/6NwL+FxEDHMfjEevbQtlT2DhTvJXA68EdsnMnTLz/p3Y3BN4Ib1T\noNe18YZFrm08puNR9G54eDXw6RHbMR6LyMxTqL48/j3KmyiVrAVWAQdk5lMy8xdD1jMevUr3/NCI\nGHWjoT8bcK503/uVr+/xkKSBTITOTmlq1q0TtFf6o7VJoUzNMJ5T0nnT+OHCqU9kZn0tq36MR3P2\nA07vTP0dZXMYY9JHRBwIvK6r6A6qKfH1dbqmyXj09wXgkMzcLzNfl5mnZ2bP+m+ZeVtmfi0zX0m1\nRtvnCm2tZLhR7MajV319UFg4jfc7wL6Z+ff1BE5mrsnMD1JtMHJ6oZ2/ioj7D7i28ZiO5xXKPtLZ\n5HMUxmMRndG3RwDPpvqCZhgbUI3YfUdE1EeIDmI8ajLzx8AphVPHRcRQmyZFxBOpEtn99LsnxkOS\nRmQidL7k4g8ZqW5M0J4mZzxHFBF7Ap+n95vni4DnTti88RggM7fKzFh3UL2x3pFqlOILgC/xm/uw\nIdWorNUR8ZeTXHbKdZddTCJiE6op8d2bILw1M8+fQXfW+3gAZOZ/ZebqEetcnZlPpnfjEYAXdV7b\nRu7KGHUG1V1u8RjU318Bj8/MKwc1kJk3UE1P/WGh7b8YsT/rezxGEhHbAE8vnBp1Wnw/xqOj8/ry\nFarp7Y+nNzG2hup91MXAdbVzG3XqnBwRn46IcddKNR7wlkLZA6k2rxp4XyPi/wAnLNL+KPfYeEjS\nACZCZ6e0tthQ3xj2Uao76jfuGp/xnFBE7Ey1u299Tb3LgSM6H2iHZTwmlJl3dkZVnZeZ/5KZhwMH\nAd3rh20EvDki3j1Ek8ak7K+pPiitcwHlD1PTZjya8SKqZQ26bUy1mckgxqPXoDVYXzPkMilk5s30\n7qwNcGxE9FsD2XhM7nfpfd7fzMzvjdGW8eijs8neN4FH1E5dTPV7v0tm7piZ+2TmfTNzW+C+VF8E\n1DfFeQrwlSHWNjYeBZn5VeA9hVOHAhdHxN9ExCERsW1EbBIRO0fE0RHxBeCT/OY+3Ei1nmtdv1Ge\nxkOSRmQidHZuLpRN+49W6Y+ommE8JxAR96BKgu5RO/VL4LGZedmITRqPBnTWBH0E1Yeubq+IiGMK\nVboZk5qIWAm8pqvoLqop8UvxgcN4NCAz76Q80vDIRaoaj179+rsG+NgoDWXmqVQbKXXbCHh4nyrG\nY3KlafHjjgY1HgURsR1wEr2b6HwIeGBmvj8ze9bJzcyLM/PtwL6d+t32AT6+yIZixqO/V1PNoKnb\nmmot8G9Rbbx3G/Az4L+Ao7oedxfwDMqJx/po3nWMhySNyETo7PSsNwZMsiNfqW7pGmpG0/G8PTMn\n2QFybkXE9sCpwP1qp9ZQJUHrUxqHYTwa0nnez6B3Dal3RsRGhSrrGJMuEbEpcDwLp8S/OzPPXqIu\nGI/mnEq1g3m3vSNilwF1jEevfu9hzhzzy4L/LpTVR9ENurbv0YbU2fn6oFrxjcB/jtmk8Sh7G707\njH8SeH5mLrpGZGZeS7V8Qf3LzUcCzxlQ1derPjpfhj0B+Kcxqt8A/H5mnkS1GV9dfQTvOsZDkkZk\nInR2SutaDfqQtJhdh7yGmjG1eEbEhsC9hmh/2YuIbak+nD6gduoaqiToOFPowHg0qjNC9yO14t2B\nQZstGJOF/pRqNM46P6KaJr9UjEdDMjOp1uur221ANePRq9+H/m+P2V6p3r37PLbp92hrqb7sa6vn\nF8pOmCCZYjxqOmtOPrtWfCvwss5r0FA6CdOXFk69fEA1X68G6Cwt9BLgMMp/C0q+DOyfmR+LiC1Y\n+CUpwJWdZT5KjIckjWjQ6B0165JC2e4TtFf/gHUX8NMJ2tNoLqF3it3uwFfHaOve9P7bLP2+LGsR\nsTVVEvTA2qnrqDbBOK+31tCMR/O+CLywVnYY1Y7bJcZkoXoC5m7AWdXGv0Mp7eC6MiK+Uy/MzAMK\njzUezSol8XYc8Hjj0esnfcrHHblXqrd9n8dO7T1aZ4pxfdTezzJz0Bqoy1ZEbAY8q3Bqkk2SjEev\nxwKb1sq+XJoKv5jMXB0R32Phl3MPjIh7ZWbptczXqyFk5pnAoyJiL6p4PRi4B9VSBmuBX1CtKf3Z\nzLygq+o+hea+O+BSxkOSRmQidHZ+UCjba5yGOrsO17/d/nFneoaWxtTiCdynUHbRmG3NpYi4O9Ua\nSgfXTl0PHJ6Z9c1GRmU8mndpoWzQztjGZLCd6N0obFRbAvsP+Vjj0azSemqD1mwzHr0up5pOXZ+m\neduY7ZWmCm/W57HTjMdu9O7ivRzjMaynAdvUyr6fmWdN0Kbx6LVfoewbE7T3DRYmQtddo5QI9fVq\nBJl5MdXmVR8Yskoptl8f8HjjIUkjcmr87Hyb6tvAbisXWWOvn5X0vqk7d6xeaVylxN1Dx2zrYYWy\n1sSzs0vvKcCDaqduoEqCfmsKlzEezSslFfrtwAzGZN4Yj2aVRn8OmnprPGoycy3lfm89ZpP15Bz0\nH11qPMZXmhb/rxO2aTx6lUYzXzVBe6W62/V5rPFo1kMKZacOeLzxkKQRmQidkcy8id71qrakd5rw\nMEqL/Q+7Jo2m4yyq5Qi6PbSz1s6oWhvPiNgKOJneN3k3Akdm5iSjGboZj+bdo1A2KNFjTOaL8WhW\naWrjoCSF8Sg7o1C2x5htrSiU9YvJRYVze0dE6XVvMW2Kx0ARsSfVEindbgc+PGHTxqNX6cvISXYK\n36JQ1m9NSl+vGhIRGwNH14p/AXxtQDXjIUkjMhE6WycXyup//IZRqlNqWw3JzOvonZJ0N+Dxo7QT\nEdsBv10r/mlmXjhB9+ZCRGwJnETvt803AUdl5v9M61rGY0mURiz8st+DjclCmfnyzIxxD8rJoDP7\nPLZ0fePRkM49qf/7uBX4Yb86xqOv0prDpRFLwyjVK2681Nls5kuFU08f5YKdWT5PrRXfCpw5SjvL\nyB8C9decz2TmRBsRGY+iUhJ/3C8JoLy0TfGLAl+vGvUUekfiHt8ZIV9kPCRpdCZCZ+s/C2XP7az5\nOZSIOBA4pFb8zcx0YeulV4rni0Zs4w/oXbPsY+N1Z350dsD8PHBo7dTNwBMyc5wF3RdjPBoS1Y4+\nzyycWmwNOGMyX4xHM14F1EfinJGZtyxSz3jUdJZK+VGteGVElEbc9tXZYfvIwqlB002nEY8n0bsD\n82cG7P68bHVGnz2ncGrSafHrGI+F6v8uoPw7vqjOe7TDasVJta5lP75eTVlEbA68o1Z8K/DeIaob\nD0kagYnQGersEFif6rAj8IoRmnlroez9Y3dKk/h3qnUuuz0pIoYavdL5JvbVteK7gA9OoW8z09lB\n9jP0vsm+BXhiZ1fNJhiP5jyf3mU8bqPaSX4QYzJfjMeURcRK4OWFUycOUd14lJWSAG8csY2/pHeH\n7W9l5uUD6pxM76Zw+0fEM4a5YOdL7VI/2/oe7Qh6d2O/DPjvKbVvPBb6Mr17DewdEceM0dYr6N2U\n7NuZ+asBdXy9mr530juq952Z2Xe2TRfjIUkjMBE6e28ulL0xIg5arGJEvBQ4vFb8E+Cj0+iYRtOZ\nmvKPteINgOMiYttBdSNiA6rdJOsjFT6amT+eXi+XVueDxyeBx9ZO3QI8KTNPb+raxqNXRBwYEa/u\njP4Yt41j6L2vAB/KzBsH1TUm88V4LBQRe0TEC0eZlVGrfwjVyPf6On0/BP5tsfrGo68PUu0g3+2Y\niHjxMJUj4inAnxZOvWlQvcy8E3hb4dT7ImL3IS79t8ADa2VfbfDLv1l7XqHsuEFTekdhPBbKzKup\nkqF1HxhlxHREPA7468Kp0gjD7uv7elUwzrqcUXk38JLaqQspD3jpYTwkaUSZ6THjA/g01RSU7uPX\nVImi0uM3Bl5fqJNU04xn/pzm/aAaVbDg3k2p3a2oPrDV43IhcL8+dbYd8Dtw71nfqwnuxUZ9ntct\nwOOXqA/GY+FzO6zzXK6kGnmwcoS6D6D6kqX0uvNLYBtjsqSxXFG4H2eM0Y7x+M3zOqDzPH4O/A2w\n/5D1dqT6UvP2wj25i2ojOOMxWWye3Oe15y3A5n3qbAz8GXBHod4pQ153Q6odmev1fwE8tE+dLahG\nGdbr3DHs79RyO6g2z6v//t8F7Dbl6xiPhc/tYKpRoaV/+88BNhpQdwvgtX1ety7v9++q1oavV73P\n7w2d5/ckYLMhHv8w4FuF+3E98MARr208PDw8PIY8IjPRbEXEjsC5wC6F06upphVfQjXK5L7As+id\nfgTwvsz8k6b6uZxExEnAvQc85P5UH5K6nbdIs0dl5i+GuPahwGlUicBua4HPAV+l+qC9A7A/cCyw\nZaGpYzJzmOmUcykinkU1VafuOqrpcpNYnZnPH7IfxqMjIg4DTq8VX0n1+vMd4Aqq+NxM9YZ6W6oE\n6IM7/y35NXBEZtYX6h/UD2MyoYhYQfV3oduZmXnYGG0ZDyAiDqB385yfUf37OJ/q38evqZaB2Jbq\n7/DDqNY+rq+rts6fZOb7RuyH8SjojJgqLR10JdX7pHOBa4BtqF6vngrsVnj8pVRfAl095HX3Bs4G\n7l44fRrVJj4/BbYG9gF+j97NTgBelZl/N8w1l5uIeDW9axuekplHNHAt49ElIt4K/EWf05dTLSnw\nHeBqqhGCOwIPolpPtHRf7qBatqi0OVXp+r5edYmIN1MtxQHVe6n/ofp88WOq91cbUH1xcB/gKMqb\nVK2bNTVoDeN+1zcekjSMWWdiPaqD6s3aFZRHPAxzfBzYcNbPY14OCiM+p3CsGOH6x1AehTLMsRZ4\n2azv4RRi8JwGYrDuOGPEvqz38ejch8OmHIfLgUPG7IsxmSyWKyb9d2E8eu7BAWM+/9JxC/AS4zHV\n+GxAtfHOJHG5CLjvGNc+lGr9vXGv+3ezvn8Nx+bCwnM+usHrGY+F9+OfpvS6dRvwzDGu7+vVb+7F\nmyeMwRX0Gd1sPDw8PDymd7hG6JzIzAupvqGtb560mDuoFn8/NjPvmnrHNJbM/C/gMfSua7aYq4Gn\nZ+Y/TL9X6y/j8b9upZquOKk7gPcA+2Tm2eM0YEzmi/GYqq8BB2dmaS3doRiPXpm5NjOfR7Xe502j\nVqf6wvjBmVnabXuxa38VeCjwvRGr3gS8ODP/bNRrLhcR8XDgfrXiq4DPNnVN47FQZv4x8ExgzQTN\nfIfqi82Ba4P2ub6vV5NLquWHHpiZZ03UkPGQpEWZCJ0jWe1e+kjgGcDXqf4o9nMjcBywX2a+Iae0\nGL2mJzO/QvXh4NXAxYs8fN2adPfNzE813bf1kfGArKav34NqKtS/Un2IHPa14xaqKV4vA+6Vma/I\nRTZHGqI/631M5onx4AKqv8H/l2p67VUj1L0M+BeqBOihmfn9STtjPMo6H9L3Bt5FNS1+kGuBjwEH\nZuYzM/PXE1z3AqpRwy9k8aV0rgb+H9W6fB8Y95rLRGmTpI9k5u1NXtR4LJSZH6eaKfACqs8QdwxR\n7QbgU1TT5A/KzPMnuL6vV5VVVPfgNIb7wuZXVBsV7Z+Zz8rMSZLZ/8t4SNJgrhE6xyLiHlSjRPek\nWgvpTqpvey8Ezm76Taamq7Ou1QHArlSL1N9KtcD/+Zn53Vn2bX1kPCoRsSXV2sN7ADtRrQ26GdUb\n+Oup1rS6CLiw6VHnxmS+GA+IiHtR/Q3elWptvS2o1pe+gSrJdhVwbmYulpCbRl/W+3jURURQrQf6\nQKodjzenWsd1DfAjqtg08kVxROxGtVnNCqo19u6gSsxe0OR1VWY8FoqITYEDqdai3IZqzdS7qP6m\nX0t1Xy5q8N/Hev961dlBfh9gL6p9ILaiWrvzRqr1p79P9d6q8Q/jxkOSFjIRKkmSJEmSJKn1nBov\nSZIkSZIkqfVMhEqSJEmSJElqPROhkiRJkiRJklrPRKgkSZIkSZKk1jMRKkmSJEmSJKn1TIRKkiRJ\nkiRJaj0ToZIkSZIkSZJaz0SoJEmSJEmSpNYzESpJkiRJkiSp9UyESpIkSZIkSWo9E6GSJEmSJEmS\nWs9EqCRJkiRJkqTWMxEqSZIkSZIkqfVMhEqSJEmSJElqPROhkiRJE4qIwyIia8dhTdWTJEmSNLqN\nZt0BSZK0foiIAPYG9gJ2Be4GbArcAFwLXANckJmXzqqPkiRJktrLRKgkSWpMRGwJHA08DXgUsPUQ\nddYA3wQ+AXwiM69vtJPrmYhYAVxSKz4zMw8bs24/dwG3do6rgV8BlwIXAecBX8/Ma4ZsS5IkSZqY\niVBJkjR1EbEV8OfAS4BtR6y+A/CEzvGPEXEi8IbM/Ml0e6mGbQhs2Tm2pxoN/Iiu8xkR3wb+C/hI\nZv586bsoSZKk9YlrhEqSpKmKiMcBPwD+itGToHWbA78PXBQR/xARm03aP82NAA4C3gpcEhEfjojd\nZtwnSZIktZgjQiVJ0tRExF8Af0uV5Cq5FvgycCFwVecIYBtgD2Al8FCqBGi3jYE/Ad5NNb1a8+Mm\n4OI+5+5GtRzC1gx+37kxVcL76Ih4XWa+Z7pdlCRJkkyESpKkKYmINwN/2ef0ycBbgLMy865F2tkC\neBJV4vPhU+2kmrB6yPVF7wk8qHM8Dnhw4WGbA38fEQ8Cnp2Zd06zo5IkSVq/OTVekiRNLCKeTzkJ\negXw6Mw8MjO/tlgSFCAzb87Mj2fmI4DHABdMubuagcy8MjM/l5mvz8yHUI3+/XcgCw8/FvjwknZQ\nkiRJrWciVJIkTSQi9gHeWzj1A+BhmXn6uG1n5mnAwcC7xm1D8ykzz8nM3weeTLWrfN2xEfHKJe6W\nJEmSWsxEqCRJmtQ/A/VNjK6hGgl66aSNZ+btmflq4HeB2ydtT/MlMz9PNTr0qsLpt0TE7kvcJUmS\nJLWUa4RKkrRMRcROwCHAnsBWwPXAlcA3MvOnS9SHo4BDC6denJm/mOa1MvNjk9SPiG2o7tc9gR2B\nTYE1wK+AszPziok7qbFk5qUR8UzgS8CGXac2A/4GePZMOiZJkqRWMREqSdIciYig2ll9667i92Xm\nn3TOb0A1MvKlVJvOFHdnj4hzgVd3ppY36RWFstMy84SGrzuUiNgceDFwNNX92nDAY78HfITqft+0\nND3UOpl5WkT8E9UmWd2eERGvycxfzqJfkiRJag+nxkuSNF/uw8IkKMC5ABFxIPBtqmTdg+mTBO04\nCDi1yTUWI2JXqs2M6v6xqWuOorOB04+BvwMeyoAkaMe+wNuAH0fE0Q13T2V/D9Q31NoE+J0Z9EWS\nJEktYyJUkqT5cnCh7NyI+APgG8B+I7b3rog4bOJelT2J3mTsL4HPNnS9oUTExhHxL8AHgXuN0cQ9\ngRMi4vXT7ZkWk5mXAJ8rnHriUvdFkiRJ7ePUeEmS5stBtZ9vAx4NvLur7HLgFKqRoldRjZjbi2rU\n3L61+gG8Djijgb7+dqHsK5l5ZwPXGkpn6YBPA0cVTv8COJVqVO0a4FZgO+BA4Ehgt+6mgDdFxJrM\nfH+jnVbdqcBTa2UPiYjIzJxFhyRJktQOJkIlSZov9RGhQTW1G+BnwGuAEzKzPn2YiHgL8C7g5bVT\nj4mILRtY97KetAX41pSvMaq/pjcJ+jPglcAnS/cNICI2Ap5DNTV7q65T74mIb2bmuQ30VWVnFcru\nBtwX+OES90WSJEkt4tR4SZLmy4G1nzehSoaeBhyQmR/rl8zrlL8S+F7t1AbA/tPsZERsAuxROLV6\nmtcZRUQ8FPirWvFZwAMy87/63TeAzLwzM/8FeARwfdepTYA3T72zGuQ84I5C+Z5L3RFJkiS1i4lQ\nSZLmRETsQTVVu+4bwJMy8+rF2uhMHf5Y4dT2E3avbmfKmzXNcmfvv2Lhe5tfAEdl5q+HbSAzzwP+\nuFZ8ZERMNZGs/jpLK1xTOLXLUvdFkiRJ7WIiVJKk+VGaan4T8MzMvHmEdi6aUn8G2bZP+XVLcO0e\nEfEAeqfEvy4zx+nPR4Ef1crqa1aqWaW43X3JeyFJkqRWMREqSdL8KO0Y/7bMvGzEdtYWyq4vlE1i\n8z7lQ4++nLKjaz/fAHx8nIY6o2q/WCs+bJy2NLZrC2X9fuckSZKkoZgIlSRpftRHhN4KfGCMdkrT\n6388RjuDlKbFA8xqV+9H1X4+NzNvnaC9S2o/19duVbNK71HdMV6SJEkTcdd46f+3d2+hlpZ1HMe/\nv8TpYOTMbNSmaTBMx+xgRENkYAXZRccLSymqCykyuhCioNNUKGU3BQV1YUV0oCKEoMRQnAmpJoUy\ndEanDJKplDJtstI5lfPvYq3A3v2u2WvevdZ61177+4F1sZ937ef5773XxebH8zx/SZofzSB0d1U9\n3GGecxtfHwYe6FbSSIdHjG8EHpzwWieU5BTg5Y3hC5PcuYppm2Hy6UlOraq2Jj6avI0tY6M+c5Ik\nSdJYDEIlSZoDSbYBZzSGd3Wc7sLG13uHx70nqa2ZDfQQhDJoBPWUxtgmRt9j2tVmZv+zrVdtf7tJ\nX+8gSZKkdcaj8ZIkzYe2+0Fvm9Bcd3Sc50QeoP2o8llTWGslSzNaxzsqZyDJBtqD0D/NuhZJkiQt\nFoNQSZLmQ/NY/OPA3pOdJMlWloeREw9Cq+oYcKDl0Y5JrzWGSe/8VL9eQvuppftmXYgkSZIWi0Go\nJEnzobmLc39VdbkTsW1n6TR2hI6a92VTWutE2n5P36+qTPh1YNY/2Dp1UcvYP5l8wy9JkiStMwah\nkiTNh+aO0K7hZTMIPQLc03GuldzaMvbKYfOiWWprKNVsdqS145KWsV9M4Z5bSZIkrTMGoZIk9SzJ\ns4BnNoYnFYTurar/dJxrJTew/J7QLcCbp7TeKA+11HH2jGvQBCQ5D3hdy6MbZl2LJEmSFo9BqCRJ\n/WvuBgX4dce5ZtEoCYCq+iOwu+XR+6e15og6jgB3NYa3J+mjcZNW5wMs///0KLEKN8AAAAR8SURB\nVHB9D7VIkiRpwRiESpLUv2Z4+Thw58lOMuGdpeP6QsvYJUneMuV1m25pGbt0xjVoFZK8Friy5dF3\nquqhWdcjSZKkxWMQKklS/5o7Qn9bVYc6zDPLRkkAVNWNwM9bHl2XZMsk10ry9mHY2+aHLWMfStLW\nfVxzJsk5wPdY/r/pIeBTs69IkiRJi8ggVJKk/k3qOHtznqNMr1HSE13JoCnTEy0Bu5NsW+3kSTYk\n+RzwXWBD23uqag/LmzedA3x+tetrupK8Cfglg89M04er6v4ZlyRJkqQFZRAqSVKPkpwJbG0MT7JR\n0r87zjW2qtoPXNXy6ALgtiSv6jp3ktcwuC/1g2O8fSfLmyZdleTqJOm4/guTfCvJpi7fr9GS7Ejy\nbeBHwOaWt3yzqr4047IkSZK0wAxCJUnqV9tx9rlvlNRUVV8Frm15tBW4NcmNSV6RZMX/PZI8Ncnl\nSX4G7AJeMGYNe4CrWx59EvhJkovHmSfJUpL3JLkF2Au8CzhlnO/VaEnOSPKGJNckuZ3BLtB3jnj7\nN4B3z6w4SZIkrQvemyVJUr+a94Mep1ujpC1A807OmQWhAFX18SSPAZ8GmjswXz98HUyyC9gPPDx8\nAWxkcJT9pcBFwNM6lnEN8DzgbY3xVwM/TfI7Bkfo7wEOMrg+YCOwCXj+cP0LMPg8GTuSjPrMnsbg\n93s6cOoYcz3G4Dj8lydVnCRJkvQ/BqGSJPWruYvz3qp6tMM8zUAVZhyEAlTVtUnuAL4OtDU22gxc\n3mHqw8AXgT+vsH4leQfwe+BjLA9ktw9fmpzTgBevco5jDO6A/YR3gkqSJGlaPBovSVK/mgHmJBsl\n3d1xrlWpqpuB84HPAI+scrpHga8A26vqo1V1dIz1j1fVTgY7UO9a5fr/AL42rEOTVcCvgI8Az6mq\nKwxBJUmSNE3uCJUkqSdJloCzG8OTuh903ywaJY0y3NW6M8lngcuAtwIXA88Y49v/CtwOXA/8oKoO\ndazhJuCmJG8ErmBwPL6tKU/TfcBu4Gbgx1V1uMv64jiDQP4I8DfgQeAAcC+D6x/2VNXB3qqTJEnS\nupOqZnNVSZK01iS5n//vPn9dVb2vr3raDBslnQ+cC2wDng48GfgX8HcGYdm+qvrDlNYP8CLgucDS\n8PWk4fqPMDhO/5uqWu0uVkmSJElzyCBUkqQ1LslZwF8aw+8ddnKXJEmSJOEdoZIkLYLmsXjooVGS\nJEmSJM0zg1BJkta+ZhB6jJ4aJUmSJEnSvDIIlSRp7WtrlHSsl0okSZIkaU4ZhEqStPY1g1CPxUuS\nJElSg0GoJElrWJIzgWc3hg1CJUmSJKnBIFSSpLXNRkmSJEmSNAaDUEmS1ra2Rkn7+ihEkiRJkuaZ\nQagkSWtbMwi920ZJkiRJkrRcqqrvGiRJkiRJkiRpqtwRKkmSJEmSJGnhGYRKkiRJkiRJWngGoZIk\nSZIkSZIWnkGoJEmSJEmSpIVnECpJkiRJkiRp4RmESpIkSZIkSVp4BqGSJEmSJEmSFp5BqCRJkiRJ\nkqSF918BXs4t3volGgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fc5c210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_image(d['layer_0'][:].mean(axis=0), layer=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x108915fd0>"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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uoX89Mnj/7ktgOFe7/yc4gmIEZmUi4tnApcDcFh+dDnwC2D4i3pmZXfmBjoip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\nE6GSJEmSJEmSJt7/B/IqgrYYU69YAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10de15390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_image(d['layer_1'][:].mean(axis=0), layer=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x10df5b310>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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PRsRLJ/piRLwX2Lvu8t3AtzpR2DCqLM94IUVTXm0AGnXHpGTmk8C5Nd8JYP9O1WsQ2l/O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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fc94210>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_image(d['layer_2'][:].mean(axis=0), layer=2)#, vmin= 0.001, vmax = 0.01)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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8LutfpxCrn1Tbi1LZdQeo\nT5IkSZIkSWMyZxJ6EfES4PDCpSMy87Yeq3sU+CXwDmAv4DGZuWFmbpeZO2Tm46gSZAcB36Wc3HsR\n8Nku21tQiA1yKm+pbOnkX0mSJEmSJM0yc2IPvYjYA/hG4dJxmfm1Hqv7BPCjmQ64yMy7gJ8CP42I\nXYBj6TzY4o0RcXJmHjdDmysWYg902+GCUkJvpQHqkyRJkiRJ0pgs9zP0ImIr4Cd0zkC7Ajis1/oy\n8/O9nlabmRcBT6I68bbuQz0svV2m2j7KTFd22j39IuL1EXFORJxz2229TmiUJEmSJEnSsCzXCb2I\n2Bj4BZ2n2l4PPC8z7x1XX1ptHQwsrl3arhWfzsOF2KoDdKdU9qHpCmTmlzJzz8zcc7311hugaUmS\nJEmSJA1iuU3oRcTjqJJ5W9Yu3Qw8OzP/NO4+tWb2fbpw6YAZit5XiA07oVdPNEqSJEmSJGkWWi4T\nehGxLnAynXvWLaRK5l05/l79t2MKsb+YoczthdjqA/ShVLbUhiRJkiRJkmaZ5S6hFxFrAycBO9cu\n3UGVzLt0/L36H5l5GVDfhG7TGYrdRudJuRtGRL+/v1J7t/RZlyRJkiRJksZouUroRcSaVMm83WqX\n7gKem5mlQykm4c+1n1dq9b0oMx8CbqqFVwQ26rP9zQqxa/qsS5IkSZIkSWO03CT0ImIN4OfAHrVL\n9wD7Z+a54+/VlEr71c20J97vC7Gt+2z/8YXYFX3WJUmSJEmSpDFaLhJ6EfEY4ETgSbVL91Il8343\n/l5Nq3RM7Ex72JUSkk/ps/2nFmLn9VmXJEmSJEmSxqjxCb2IWB04Adi7dmkRcEBm/mb8vZpaRCyg\nc8nrXZn58AxFzyjEnt5H+/PoTATeAkzyoBBJkiRJkiR1qdEJvVZy7Hg6Z5wtBp6fmb8ef69m9BfA\nSrVYN3v7nQo8WIvt1zoEpBf703nK7YmZmT3WI0mSJEmSpAlobEIvIlYDfgLsU7t0H3BgZpZmtM0G\n/1CI/WymQpm5iOrf224V4NU9tv+GQuxbPdYhSZIkSZKkCWlkQi8iVgF+COxbu3Q/cFBmnjb2TnUh\nIv6eztmES4Dvd1nFkYXYO7udpRcRTwMOqoWvpjoZWJIkSZIkSQ3QuIReRKwEfA94du3S/cDBmXnK\niNp9bkQ8b4DyhwGfKVz6emZ2tX9dZp4M1PcE3BA4MiKm/V1GxDrAUXT+zj+cmY92074kSZIkSZIm\nr1EJvYiYD3wbOKB26QHgRa2E16jsCPwsIs6LiLdExMbdFIqIHSPiWOBrwLza5duB9/bYjzcD9QTc\ny4DvRsRaU/RhB+BMYJvapd8BR/fYviRJkiRJkiZo/qQ70KOXAS8sxB8APh4RHx+g7nMy87Vd3Ldb\n6/XpiLic6kCLS4GFwN1AAusAW1Pt77cnEIV6lu71d2MvnczMcyPiPcBHapf+EnhORBwDXESVLNwE\neAZwIJ3J27uBV2Tmkl7alyRJkiRJ0mQ1LaG34hTxtVqvQdzV4/1BNWtvxz7augF4ZWb+to+yZOZH\nI2ID4K21S6sDr++iinupTgG+up/2JUmSJEmSNDmNWnK7HHgE+AawS2aePkhFmXk41fLb+3osejGw\nd2aeOUj7kiRJkiRJmgwTet37KvAC4FPAWcDiLsstoUqifRDYIjNfnZl3DqNDmfl5YDvg34E7Zrj9\nQqrZe7tn5mXDaF+SJEmSJEnj16glt5l5NBM6xCEz7wV+3HrROlV2S2BzYFNgbWC11u13A3cCN1Ht\nzbdohP26AXhrRLydam+/nYH1qZYnLwaubfXh+lH1QZIkSZIkSePTqITebNI6TOLq1mviMvNR4JzW\nS5IkSZIkScspl9xKkiRJkiRJDWJCT5IkSZIkSWoQE3qSJEmSJElSg5jQkyRJkiRJkhrEhJ4kSZIk\nSZLUICb0JEmSJEmSpAYxoSdJkiRJkiQ1iAk9SZIkSZIkqUFM6EmSJEmSJEkNYkJPkiRJkiRJahAT\nepIkSZIkSVKDmNCTJEmSJEmSGsSEniRJkiRJktQgJvQkSZIkSZKkBjGhJ0mSJEmSJDWICT1JkiRJ\nkiSpQUzoSZIkSZIkSQ1iQk+SJEmSJElqEBN6kiRJkiRJUoOY0JMkSZIkSZIaxISeJEmSJEmS1CAm\n9CRJkiRJkqQGMaEnSZIkSZIkNYgJPUmSJEmSJKlBTOhJkiRJkiRJDWJCT5IkSZIkSWoQE3qSJEmS\nJElSg5jQkyRJkiRJkhrEhJ4kSZIkSZLUICb0JEmSJEmSpAYxoSdJkiRJkiQ1iAk9SZIkSZIkqUFM\n6EmSJEmSJEkNYkJPkiRJkiRJahATepIkSZIkSVKDmNCTJEmSJEmSGsSEniRJkiRJktQgJvQkSZIk\nSZKkBjGhJ0mSJEmSJDWICT1JkiRJkiSpQUzoSZIkSZIkSQ1iQk+SJEmSJElqEBN6kiRJkiRJUoOY\n0JMkSZIkSZIaxISeJEmSJEmS1CAm9CRJkiRJkqQGMaEnSZIkSZIkNYgJPUmSJEmSJKlBTOhJkiRJ\nkiRJDWJCT5IkSZIkSWoQE3qSJEmSJElSg5jQkyRJkiRJkhrEhJ4kSZIkSZLUICb0JEmSJEmSpAYx\noSdJkiRJkiQ1iAk9SZIkSZIkqUFM6EmSJEmSJEkNYkJPkiRJkiRJahATepIkSZIkSVKDmNCTJEmS\nJEmSGsSEniRJkiRJktQgJvQkSZIkSZKkBjGhJ0mSJEmSJDWICT1JkiRJkiSpQUzoSZIkSZIkSQ1i\nQk+SJEmSJElqEBN6kiRJkiRJUoOY0JMkSZIkSZIaxISeJEmSJEmS1CAm9CRJkiRJkqQGMaEnSZIk\nSZIkNYgJPUmSJEmSJKlBTOhJkiRJkiRJDWJCT5IkSZIkSWoQE3qSJEmSJElSg5jQkyRJkiRJkhrE\nhJ4kSZIkSZLUICb0JEmSJEmSpAYxoSdJkiRJkiQ1iAk9SZIkSZIkqUFM6EmSJEmSJEkNYkJPkiRJ\nkiRJahATepIkSZIkSVKDmNCTJEmSJEmSGsSEniRJkiRJktQg8yfdAQ1PRKwH7AU8HlgDeBi4HbgM\nOCczH55g9yRJkiRJkjQEJvSWAxHxUuCtwNOAmOK2eyPi28DHM/PKsXVOkiRJkiRJQ+WS2waLiI0j\n4lTgO8DTmTqZB/AY4G+BiyPivREx3b2SJEmSJEmapUzoNVREbAucDTyzx6IrAR8AvhkR84beMUmS\nJEmSJI2US24bKCLWBU4CNixcPhf4IXANsCqwLfAKYKPafYcAtwKHj66nkiRJkiRJGjYTes30JWCz\nWuxe4K8z80f1myPi3cC7gffVLr01Ik7MzJ+NpJeSJEmSJEkaOpfcNkxEPAd4cS38ELBfKZkHkJkP\nZ+b7Kc/G+/eIMLErSZIkSZLUECb0mue9hdj7M/OcmQpm5meoluq225pqSa4kSZIkSZIawIReg0TE\nTsA+tfBC4F97qOZdhdgb++6UJEmSJEmSxsqEXrO8vBA7KjMf6raCzDyX6uCMdntHxJYD9UySJEmS\nJEljYUKvWZ5XiH23j3pKZUp1S5IkSZIkaZYxodcQEbEA2L0Wvg84r4/qzijE6kt5JUmSJEmSNAuZ\n0GuOXen8fZ2TmY/0UdfZwMO12B599UqSJEmSJEljZUKvObYvxK7qp6LWnns31MKPj4j5/dQnSZIk\nSZKk8TGh1xxbFGJ/GqC+62o/zwM2G6A+SZIkSZIkjYEJvebYoBC7foD6SmXXH6A+SZIkSZIkjYEJ\nveZYpxBbNEB9pbLrDlCfJEmSJEmSxsCEXnMsKMTuH6C+UtnVBqhPkiRJkiRJY2BCrzlWLMQeGKC+\nUkJvpQHqkyRJkiRJ0hh4qmmz5ZDLxlQ3R8Trgde3flwUEb8foO1xeCywsJsb42Mj7onUDF2PGUmA\nY0bqlWNG6o1jRurNY+Njy8WY2bzbG03oNcfDhdiqA9RXKvvQVDdn5peALw3Q3lhFxDmZueek+yE1\nhWNG6o1jRuqNY0bqjWNG6s1cHDMuuW2O+wqxYSf0Fg9QnyRJkiRJksbAhF5z3F6IrT5AfaWypTYk\nSZIkSZI0i5jQa45bCrFNBqhv0y7baKrGLA+WZgnHjNQbx4zUG8eM1BvHjNSbOTdmInOQcxU0LhHx\nt8BXauGvZuZr+6zvamCrttCjwCqZ+UifXZQkSZIkSdIYOEOvOUqnym7dT0URsRKdM/SuNpknSZIk\nSZI0+3nKbXOcDyxh2STsnhExv49E3J7AirXYeYN0btIiYj1gL+DxwBpUpwLfDlwGnJOZpVOCpUaK\niE2BnaiW3a8FrATc2XpdAVycmY+OuA9bA7tSfTmwALgfuAm4KDMvHWXbUtM4XtRkETEP2AXYHtiA\n6hl+ELgHuBa4MjOvGXKbmwB7AFtS7fv8INXWMJcAF2TmkmG2Jw2qNU52pPp8tg6wJtUKqLuA24Dz\nM/PaEbbv+4zmnEk+9xGxArAbsDPwOGBlYBFwDXBuZt4wyvaXMqHXEJm5OCLOp/pws9QCqofo7B6r\ne3ohdnq/fZukiHgp8FbgaUBMcdu9EfFt4OOZeeXYOicNSURsD+wP7Ac8gyqJN53FEXEq8AXg+GH9\n4RMRqwJvBP4O2Gaa+24Avgp8OjPvGkbb0rBFRACnAM8sXD4tM/cdsH7HixotIp4FvB54PtWXpdPd\nuxA4Ezge+G5m9nzQWishchjw91R/oE3l9oj4BvDJzLyx13akYYqI5wKvBQ4EVpvh3tuAY4EvZebF\nQ2jb9xlNRESsQzVJaOlrD2Cz+n2ZOdXf54O0PdHnPiI2Bo4AXgWsO8195wOfB44e5UQL99BrkIj4\nIPBPtfDHM/Mfeqznd1Sz2dptNexvV0epNZC+SfkPsak8BHwQ+GD64GuWa71ZHQH8L6pvfvp1KXBo\nZp4zYH+eRjXmNu+h2G3AazPzR4O0LY1CRLwF+MwUlwdK6Dle1GQRsQNwJL19xmr3qsz8rz7aPBZ4\nQg/FFgFvz8wv99KWNAytmUFfAp7VR/Fslf2HzLy7z/Z9n9HYRMTOVEnrPagSeFt2U27YCb1JP/cR\n8QbgX6lmjnfrQuBlmVnaQm1gJvQapDWQ6t/m3AZskpkPdVnHbnQur/1tZu49hC6ORURsC5wKbNhn\nFd+i+rA50iWJ0iAiYguqKdvD8Ajwtsz8XJ99eTHw/+hcqt+NBN6cmf/RT9vSKLT+ELuQqWdT9J3Q\nc7yoySLib6hmd686QDU9JfQi4qnACcBj+myv5y+3pUFExN7Aicwwc7ULlwHPysxbe2zf9xmNVUR8\nmmpVXE+GmdCb9HMfEZ8E3t5n8XuA52bmb/ttfyouuW2QzLwkIn7Fsktm1wPeBnysy2o+UogdOWjf\nxiUi1gVOopzMOxf4IVUSZFVgW+AVwEa1+w4BbgUOH11PpZG6CjgN+APVs7yYar+WXamWRtUPvZkP\nfDYiHsrMno5zb/2hVXrzXAL8BPgVcD3V/xc9kWp8tSdJAvhcRPw5M7/fS9vSKLT2PDmKGZZG9Vm3\n40WNFRFvAz5VuJRUezmfBNxI9b4zH1ibal+9XYEn08ffFa3k+vGUk3mntNr8E9V+ZDsCr2y12+6d\nrTHz6V7bl3oVEVsxdTLvz8CPqL4wup3qvWADYG/gIGCV2v07Aj+PiL263e/b9xnNRZN+7iPiHZST\neYupJgtdBCyk+htsH6rZjO3JzDWAn0XEHkNfFZmZvhr0otpHK2uvB4Dduyj75kLZq4EVJ/3v6uHf\nf1zh33AP8IIp7l8R+OdCmQQOmPS/x5evqV7AFrXn9VLgHcDGM5SbD7wOuLfwzD8IbNtDHxZQ/SFV\nr+cKYIcpyqxDlVivl7kL2GDS/119+aL6QNb+bP6m8Lye2ke9jhdfjX1R/fGzpPAsHgts2UX5NYCX\nA78AXtFlmytQ7QNdb/PPwFOnKLOAagZhvcxDwC6T/u/oa/l/AT8rPH8PUE0UmPJvKqq9tv5zir9J\n3tVl277P+JrIC/j0FM/ug1STar5IdTjfMteH1PZEn3tgd6oDN+t1/QBYe4oyOwK/L5Q5i9Yq2aH9\nbib9cPjq45dWPTz1h+Nu4OAp7l8ReO8Ug/DASf97evh3P2eK/xPZs4uyby2U/QMwf9L/Ll++Si/+\nJ6H3S+AZfZTfpfTGCvy4hzo+NMW4WWeGcvOA7xbKHj3p/66+5vaLaub2fW3P5ELgSYVn9dQ+6na8\n+GrkqzUu6l8CPQT8VZ/1dfXHCtWXT/Xn/nZgiy7KfmoY49aXr15ewA5T/D314h7qOLJQ/mZghS7K\n+j7jayIvqoTew1SzT79KdSjFXsBKbfdcW3/GhtT2RJ974NeFOr4z05ilSuL/oVD20GH+btxDr4Ei\nYj2qffA2KVw+h2WXnW5DtTxh48K9n8vM/z2qfg5bRJxONYW13T9l5oe7LP9zqqRgu1dn5jeG0T9p\nmCJibarZBqcNUMdLqN7I2j1K9c3UwhnKrkX1bVj7kpIlwDMz81ddtL0u1azC9Wttb5uZf+yi+9JQ\ntZba/gp4Slv4Va3YNbXbe9pDz/GiJouIk6lOUW/30sw8boRtzqP6Q6e+sforM/OYLsqvTDUrZKfa\npWdm5unD6aW0rIh4N1Vyod0PMvMve6hjAdUKqfVrl56WmWdOU873GU1MRGwI3JWZ909zz7XUDqvI\nAffQm/RzHxH7ASfXwjcDO2XmHV2U34dq7/8V2sJXAdtl5pKZyndjhZlv0WyTmbcBz6V6mOr2BP4F\n+C/gy8A7KSfzvk2D9pCLiJ3oTOYtpDplplvvKsTe2HenpBHKzDsHSea16jiOak+HdvOAA7oo/ko6\n94f5aTdvnq22bwc+UWj7dd2Ul0bgCJZN5v00ezyJcxqOFzVSRBxEZzLvG6NM5rU8j85k3kXdJPMA\nMvNBqi1V6vxcp1HavhD7Vi8VZOZiqtVWddvNUNT3GU1MZv55umTeCE36uS+9p3yim2Req/0zqPaJ\nbbc1nZOM+mZCr6Ey83KqZUJdPcxtHgbeDxySzTrl9eWF2FHZ5em+AJl5LtW3ue32joiujt2WGupn\nhdhWXZQrjbkv9Nj216mWxbc7pMc6pIFFxA7AB9pC9wB/N8QmHC9qqvrpsA9SJb9HrTRmvthjHT+i\n88vtF0bE0A+8kVoeV4hd3kc9pTL1GXt1vs9oLprYc9+aTXtwLfwAcHSP7Zfe24Y27kzoNVhmXg88\nA3gZcCbVmuypLKI61W+XzHzfsKZ4jtHzCrH6UsJulMqU6paWF9cVYhtMVyAi1mTZmUxQ7a90Yi8N\nt5b1nloLb95Krkhj0Vra93Vg5bbwEZl5w5Dqd7yokSJiO+DptfBPWitBRtluUK00qetpVmBWp4L+\nsBZeFXhmn12TZlKaSND15II29eQCVImCIt9nNBfNgud+X5b97AhwSrez89qcQJWLabd/671wYCb0\nGi4r387Mp1H9kX4w1QEQ76VaYvo6qg9r62bmazLzisn1tj+t7PjutfB9VPsI9uqMQqy+lFdanpRm\nKsw0Zf4pVNPR2/2mz1m9jjlN2jupNm5e6uTM/PIQ63e8qKn+qhDraflgn7ajc6bTHzLzlj7qcsxo\nnOr7rQJs2kc9pTJXT3O/7zOaiyb93Jeu97o6ksx8BPhNLbwB1VkHA5s/jEo0O2TmrcBPJt2PEdiV\nzuTzOa3B0auzqZYdr9gW26PfjkkNsHUh9ucZypTGxFl9tl/a4Nkxp7Fo7b/6vrbQYoa/X5DjRU1V\n2sOn/kfHKDhm1FS/BN5Siz0P+EWP9dT3Mn6I6RMFjhnNRZN+7ofd/rML9V/ZZ33/zRl6aoLSBrRX\n9VNRa8+9+jKrx0eEyW0td1rP9QsLl86eoejQxhzlb5xn2vhZGljr+f86sFJb+N2ZWZphMQjHixqn\ntRT9ybXwwsy8se2eNSPi7yPipxFxfUQ8GBGLIuLaiDgrIj4WEX/ROkG6F8McM9cB9S94HTMalZ9S\nnbjZ7u8iYvPSzSUR8XJgt1r4PzPzzmmK+T6juWjSz/2k2++KCT01wRaFWP3NtBf1PcXmAZsNUJ80\nW72Azv3y7mDm6eJbFGL9jrkbqY6Hb9fNoRzSoN7Fst+ungl8bgTtbFGIOV40221L595Af1j6PyLi\n9cD1VGPm+cAmVMnxBcDmwN5Uy9l/AVwUES/uoe0tCrG+xkxr6dWNtfAmEbFi6X5pEK3VQW+qhRcA\nJ0bEtjOVj4gXAV+rhW+her+azhaFmO8zWt5tUYiN5bmPiJWAjWrhR4Cb+my/tKf5UMadCT01QWkD\n/+sHqK9UdqaTpaRGiYhVgI8ULh3VxXL1oY251h9b9SW+jjeNVETsQrWX7FIPAK8Z0YFQjhc1UekP\nibsjYuWI+DHVqXyP6bKunYDjIuJLXSbSRv25bh7w2AHqk6aUmcdTLbttP4xwO+CCiPhCROwfEetH\nxIoRsVpEbBURh0TECcD3qQ5uWWohsH8XB9H4PqO5aJLP/Xp05spu6nP/Phhh/sGEnppgnUKsflJM\nL0pl1x2gPmk2+gjVDIx2dwIf66LsqMfcShGx+gD1SVNqJRS+zrJ7pb4/M38/oiYdL2qiDQuxRcB/\nAgfV4kk1i+hyqj+IpkqMvw74fhdLcP1cp0bLzM9S7YN3bVt4VeANVCda3ky1L95iqqV2xwD716r5\nEfDEzLywiyZ9n9FcNMnnvjHvUyb01AQLCrGZTumcTqls6SRQqZEi4iXA4YVLR3TxLTA45tRs76E6\nTGmpc4FPjLA9x4uaaO1C7ECWPfn2duDtwCaZuUFm7piZG1HNKng9nUtdl9bxvhnadsyo8TLzRKov\nTv+a6rCMbiwBvgTsmpkvzMxul+85ZjQXTfK5b8yYM6GnJigt33hggPpKA2qlQkxqnIjYA/hG4dJx\nmVnft2Uqjjk1UkTsBry7LfQw1VLbfpdIdMPxoiaq758Hyy4FvADYKTP/rZ50yMyFmfllYAfglEI9\n74mIHadp2zGjxouIoDrh9m+AfbostgLwGuDjEVGfsTcdx4zmokk+940Zcyb01FQ58y09lY0B6pNm\nhYjYCvgJnd/4XAEcNmD1jjnNaq0NjL8OtJ9a/pHMvGgC3XG8aLab7pm6FXhuZt4yXQWZeS/V8twr\nC3X/Y4/9ccyoMVqft06nWjb7XDr/+F9I9dnrKuCu2rX5rTInRMQPIqLf/R4dM5qLJvncz8oxZ0JP\nTfBwIbZqIdatUtmHBqhPmriI2JjqtMH6BrLXA89r/eHVLcecmuifgSe0/XwJ8KExtOt4UROVntul\n3tnl9gxk5n10nvoJcEhETHWohmNGjdU6dOm3wNNrl66iGgubZOZ6mblDZm6TmWsD21Alueub8r8Q\nOD0iSpv/t3PMaC6a5HPfmDFnQk9NcF8hNuwBtXiA+qSJiojHUSXztqxduhl4dmb2esS7Y06NEhF7\nAu9sCz1KtdR2HH+gOF7URFM9UwuBb/VSUWaeTHVgRrv5wNOmKOKYUSNFxDrA8XSeovw14AmZeWRm\nduwtmZlXZebHqE6EPr52eQfg2BkOk3HMaC6a5HPfmDFnQk9NcHshNshJTKWypTakWS8i1gVOBrav\nXVpIlcyrL4XqxqjH3EOZOchJUdJ/i4iVgaNZdqntpzLz7DF1wfGiJprqc89pfSbCTyrE6jOYpmvb\nz3Vqgo8CG9di3wNem5kz7q+VmXcCL6Ga4dfuGcCh0xT1fUZz0SSf+8a8T5nQUxOU9nDZZID6Nu2y\nDWlWi4i1qf6I2rl26Q6qZN6lfVY9tDEXEfOADbuoX+rXW6lmPSz1B6rlt+PieFET1ZdB0F7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fRLkiT1ziW3kiRJk1c64XbWJ/SAv6BzmeypvVQQEZtTneBa19cpuaPWOrjjauCTwFOYJpnXshPw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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110a79c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(20,20))\n",
    "_ = plt.hist(d['energy'][:], histtype='step')\n",
    "_ = plt.xlabel(r'$E$ (GeV)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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gZxHoze/4zI7HrvaBlW/jLeq0kdqJ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\n8gnY786xrQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11041c110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(20,20))\n",
    "_ = plt.hist(d['x0'][:], histtype='step')\n",
    "_ = plt.xlabel(r'$x_0$ (mm?)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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MykdW1d3WmfrAJDcY1N4979t5q7w9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\nkiRJklQjBnqSJEmSJElSjfx/l7knnZ/y+M4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110d31410>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(20,20))\n",
    "_ = plt.hist(d['y0'][:], histtype='step')\n",
    "_ = plt.xlabel(r'$y_0$ (mm?)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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X2s7LzAtKA2fmvUyc79rA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\nkiRJkiR1YjJRkiRJkiRJUif/A/aI9OYybwl7AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110877290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(20,20))\n",
    "_ = plt.hist(d['z0'][:], histtype='step')\n",
    "_ = plt.xlabel(r'$z_0$ (mm?)')\n",
    "# it makes sense: they all hit the detector at the same radial distance, which\n",
    "# is negative because 0 is located at the center of the detector, I believe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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LSgfOzHton+/KwPNL+5Ak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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110a6f310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(20,20))\n",
    "_ = plt.hist(d['t0'][:], histtype='step')\n",
    "# it makes sense: all particles are initiated at time = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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oiEAPAAAAADoi0AMAAACAjgj0AAAA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\nAAAjItADAAAAgBH5v7ZHbUuh3Nf7AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110db67d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(20,20))\n",
    "_ = plt.hist(d['px'][:], histtype='step')\n",
    "_ = plt.xlabel(r'$p_x$ (GeV)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/khetYmIAy6qq\n05M8YeSSn30AgR4Au6+qTq+qb6+qhf5/p6oekuSPktTg0hu6+3VLTxCYpO5+TZJXDMrXSPKG+S8B\nNqmqo6vqqUl+a+Ty47r7shVPEzgCVdUtq+oxVXXMgvffPclfZPNptucl+YNl5wdMnz30ANh1VfXw\nJH+a5J+T/H6Sl3X3P2/jvpsn+akkP5TNYd6lSe7V3f+w4ukCE1JVJ2a2D97JI5fPzizw+0Bm/1F8\nmyTfkeSkkff+dnf/2G7NEziyVNWdMzuN+4LMfvZ5aXcP9wEeu+/EJI9P8sQkRw8uX5nkYd396hVP\nF5gggR4Au25DoLfR+zL7QfedmW32/LkklyU5IcnNk9wnyb2SHDXS8ook39bdwydzgCNQVd0uyeuT\n3HjBFi9O8ujuvmJ1swKOZBsCvY0+mtkvIP4xyceSXJTkS0mul9kvGv5dkvsmueYWbX+su397VyYM\nTI5AD4Bdt0Wgt6h/TfKD3f2yFfUDDgNVdbPM9r+7zw5uuyzJM5L8fHdfuSsTA45IWwR6i7o0yU92\n9++sqB9wGLCHHgBT0ZntJXNHYR4w1N0fSXK/JN+e5KzMvmds5QtJnp/Z95OnCfOAfexvktxNmAcM\neUIPgF1XVdfMbAnJ/ZPcO8mdkhy/jVs7s333XpXkOd193m7NETi8VNUNk9wjya2SXCfJ5Uk+leQ9\nSd7W3V9e4/SAw1xVHZXZ1iH3z+zJ4bskOXGbt38oyWsz+9nn3F2ZIDB5Aj0A1qKqTklyiyQ3S3KD\nJMdl9uT45zJbVvuJJGd397+ua44AAKtSVTfJ7JcMN8ss3Dsus4MvPp/Zzz4XJjm3uz+xtkkCkyHQ\nAwAAAIAJsYceAAAAAEyIQA8AAAAAJkSgBwAAAAATItADAAAAgAkR6AEAAADAhAj0AAAAAGBCBHoA\nAAAAMCECPQAAAACYEIEeAAAAAEyIQA8AAAAAJkSgBwAAAAATItADAAAAgAkR6AEAAADAhAj0AABY\ni5p5c1X1/OOKqrrDuufFcqrqJRu+pl1VD1r3nADgcFPdve45AABwBKqq707ygg2l53X3D+zCODdN\nctskpyS5XpLjklye5KL5x4VJ3tXdH1/12EeiqrpNkncnOWpeek+SO3X3ZeubFQAcXgR6AADsuaq6\nbpL3JrnRvPTFJKd29wUr6H10kocleXiSByW56TZv/USSc5O8KsnLVzGX3VJVP5Lkdwbl13X3rjwN\nV1W/lOSJg/Lvdfdjtnj/f0/ywxtKP9ndv7obcwOAI5FADwCAPVdVz0jy0xtKv9ndj1+y5zWSPC7J\nE7L9EG8rneRvk/xakj/tffZDc1Udn+RjSa65odxJbtndH1rxWFdP8pEkNxlcumd3v3WLe26W5H1J\njp6XPjuf22dXOTcAOFLZQw8AgD1VVTfKLHi7ymVJnr1kz/tmtrTzl7N8mJckleQ+SV6W5O1V9eAV\n9FyZeTD2skG5knzPLgz3kGwO8/5pqzAvSbr7I0leuKF0fDY/4QcALMgTegAA7Kmq+o0cGOg9v7u/\nb4l+P57kV5JcfYu3fDHJW5K8Lcmnknw6yecy20vvBkluleT0JHdNcswWPV7W3WcsOsfdUFUPSPL6\nQfmDSW61yicKq+rlSb51UP6J7v61Q9x3u8z20rvKxfO5fXJVcwOAI5VADwCAPVNV10/y4czCtKvc\nvbvPXrDf05L83BaX35zkmUle391f2kavayd5aJLvz2zvvdpweT8GepXkXzILJDf69909DPoWHePE\nJOfnK0tnk9kTlSd194XbuP8NSe6/ofTz3b3V1wsA2CZLbgEA2Es/lAPDvHOXCPN+IONh3seTfEN3\n36+7X72dMC9JuvsL3f0n3f0NSe6Y5BWLzGuvzJ/C+/2RSws/7TjiO3NgmJckr9xOmDf3e4PXP1xV\n1xx9JwCwbQI9AAD2RFUdleRHB+XnLdjr9kl+a+TSu5J8XXe/dpG+V+nud3X3wzM7Lff8ZXrtshck\nuWJQe0RVXWdF/b93pLaTr9nLMjsQ4yonJnn0UjMCAAR6AADsmYckufGG11dm88EO2/W7OfCE1yT5\nZJIHdfeHF+y5SXf/ZZI7J1kqINwt3X1+ktcMyscmedSyvavq7km+dlD+6Mh4W5o/Hfnng/JYSAgA\n7MBR654AAMCRrqpOTXKnJKdkthz1oiQXJHlTd39qnXNbsf8yeP033f2JnTapqm9Ocu+RS9+3SL9D\nmX8NfncVvarq+CR3T3KjzJ5Wu0ZmB3V8MsnbuvtjC7R9XpJvGtS+N8vPeSx4+4PuvnKHfV6a5Ls2\nvL53Vd2qu9+/+NQA4MjmUAwAgF1SVecnuemG0u9192Pm166X5MeSfE+SW27R4sokr0vyU9399l2c\n6q6rqmtlFlxtfKruid39Kwv0en2SBwzKr+ruhy4xxV1TVccm+eEkZyS5R7Y+jTdJ/inJ/0ry2919\n8Tb7H53ZsuATB5du393vHrllOz2vmeRjSY7fUO4kp+40iJv/+f81s/DyKk/p7l9cZG4AgCW3AAC7\noqpunAPDvCQ5d37tvyR5X5Izs3WYl8x+VntwkrOr6jG7Mc899O+zeYnsG3fapKpuns1hXpL89wXm\ntOvmB3e8L8mvJrlXDh7mJcntkzwryfuqalun6nb3ZUn+cOTSMktbH5EDw7wkeeMiT9V19xeT/N2g\nvC/DVwCYCoEeAMDuuNtI7e1V9RtJ/iDJ9XbQ62pJfreqHrmSma3HQwavP5d5wLlD/3Gk9tEkr16g\n166pqqOr6n9mdsrrTRZocaMkL66qp27z/WMHVXzX/CCSRSx7GMbQGwav71FVJyzRDwCOaPbQAwDY\nHcNA7/LM9pD7kUHtL5L8fZIPZbYk8baZPR116kjP/15Vr+/uT65+urvu6wev/6G7h6ezbsf9R2pv\nWmBft11TVVdL8mfZvK9dMtsb8XVJ3p7ZEuRLk5yQ5C6ZhZ6nbGyV5Oer6lPd/ZyDjdnd76mqt2T2\nFOBVbjSfwyt3OP9TkjxwUP5sFj/AJEneNnh99ST3TfKKJXoCwBFLoAcAsDuGgd7VcmCY97wkTx07\nBKGqfibJE5P8QmahzlWul+SxSZ6+2qnurqr6qiRfPSj/44Ltxp58/PsFe+2Wn8vmMO+jSX4iycu3\nCjLnT9N9T5JfS3LtDZd+vare2t2HeqLxeTkw0EuS78sOA73Mns4bruT5o+6+dId9NnrHSO3uEegB\nwEIsuQUA2B1jgV6SfCnJGd39A1udaNrdl3f3M5KMHRrwPaub4p65azb/3PmunTapqmOS3Hzk0jmL\nTGo3VNW9kjxlUH5Lkjt090sO9lTi/Ov+P5PcJ7MlyVc5JrNw91D+JMkXBrWHVtUNt3FvkqSqKsl3\nj1xaZrltuvv8JJ8ZlO++TE8AOJIJ9AAAVmweoJw0cunKJN/R3dtduvj0JJ8Y1G41P3BjSk4bqX1o\ngT4n5cAnFq+yn5YgPyUH/ox9QZJv6u6Lttugu9+RA5/mTJKHVNWdDnHfF5K8eFA+Ksl3bXfszA4c\nGR7U8o7uXkVo+uHB67F/FwDANgj0AABWb2xZaJI8fQdhXrr7y5k9dTV054VmtT63GKmdv0CfrQ4S\n2XZYtpuq6g7ZvNT2yd392QXavSjJPw9qD9/GfWNP0u3ktNvv22bPRXx08PrkqjrUqb8AwAiBHgDA\n6o0FeucleeYCvf5upHaDBfqs08kjtY8v0OfYLeo7Dsyq6mFV1Tv8eMEh2p4xeP35jAeyh9Tdnc0n\n995/G/edleT/Dcq3r6p7HOreqrpOZgeybPSlJC881L3bNFxiflQWOwEYAI54Aj0AgNUbC/R+pru/\ntECvsSfZrrtAn3W6zkjt4gX6jC233U+GJ/meu+RBEh8YvL7LNu9b9Cm9R2VzaPpn3T3c+25Rl4zU\nvmpFvQHgiOKUWwCA1RsGeh/P4qd5fnGkdtmCvdbluJHaIkHX2N9FMgs417qP3nzp6D0H5TtW1T8s\n0faEwevrVtXR3X2or/8fJnlGkqM31B5ZVT9+iIBxLPRb1XLbZPzrd60V9geAI4ZADwBgharqBklu\nNij/wTZCmK2MLa/9/IK91mW4T1p395UL9PnXLerHZ+eB3kVJ3nGQ69dOcusd9Lt+kmsOatfL1vv+\nLeqEbD4o5QDd/cmq+osk37qhfHxmy2lfNHZPVX1Nkq8blD+U5HWLT3WTy0dq/nsEABbg/0ABAFZr\nbLnta5fod8OR2iInxK7T8Mmsqqpj5od+7MRHk3Q2L709MbM9Cretu9+cgxwuUlX3T/KGHbS8/k7G\nX8JW+wgOPS8HBnrJ7MCL0UAv44dhPH/B4HUrY3MfW4YLAByCPfQAAFZrGOhdnvGDLbbrriO19y7R\nbx3G9svbbjD1b+YB4IdHLm11qvBeWvWTeMv6qyQXDGoPrKqbD99YVUcl+c5B+cokL1jxnMa+5ovs\npQgARzyBHgDAag3Dpfd29zKhxQMGr8/r7k8v0W8dxpbDDveH265zRmrDpaLrMLY/3J90d63444Pb\nmUx3X5HNgVwl+Z6Rtz80yY0Gtdd196qfBB37mq9170MAmCqBHgDAag0DvQsXbVRVN01yh0H59SPv\n++6q6vnHRVW17dNgq+pnNtz79qrajZ8Px4Khkxfs9dcjtfvu0rx34lMjtUVDy1X5/cyWKG/03SP/\nPsaW267yMIyrDL/m/9rdU9sPEgD2hXX/4AMAcNioqhOSDJc0jgU92/UD2bxf3J+MvO8tGz6/TpLb\nbqd5VZ2c5MkbSo9b8Z5pV3n/SG3RQO+VI7WbJfnGBfutyoXZHJ5tWt66l7r7fdkcgN4yG576rKob\nJfmmwXs+k+TPdmFKJw1ef2AXxgCAI4JADwBgdcb2chue8LotVXX1JD84KL8/yZuG7+155x/nAAAI\nvElEQVTu83JgcHiPbQ7z7CTHzT//4/lBEbvhH0dqX71Io/mS0zeOXPqRRfqtSndfms2n5p42D8zW\naexJu+/d8Pl3ZfNBeS/s7i+tchJVdWySUwblg50yDAAchEAPAGB1xgK9RQOdH83mp9h+9SBP0G08\neOOQe8pV1f2SfPv85SVJnrjjGW7T/EmxzwzKX7tEy98YqT20qoZPmu21sdOMH7HnszjQy5JcNKh9\nW1VdZ/7592az3Vhue4dsDrfftgvjAMARQaAHALA6Y4Henavq6J00mT/Vdeag/P4cPGg5a8PnB31C\nb/70329uKP1Sd39kJ3NcwFsHr++0aKPu/rMcuMz4Ks9f8xNxrxip/eT8FNm16O4vJnnRoHxskkdV\n1dcl+ZrBtXO6ezeenBv7eg//TQAA2yTQAwBYnbFA77gk37rdBlV1zSQvTXLdwaUfP8QyyI0B1x3n\nfbby2HwlYPlQkl/Z7vyW8H8Gr29dVTdZot9jkwz/Pm6Y5LVVNVzauSe6+2+zeTnwrZL86t7P5gBb\nLbvdq8MwkuS+g9efTPL2XRoLAA57Aj0AgBWoqutlduDAmGdU1bW30eNaSf4oyX0Gl57f3WOHQWz0\n90kun39+dJK7bDHGCUmevqH0k/OnuHbbq0ZqDxipbUt3vzPJE0YufW2St1bVgxbtPXfcod8y6inZ\nfDjG46rqzJ2cPrxRVd2hqv5w/m9sx7r7nGzer+7rMts/b6Oxp/lWZfi1/qvuHv49AQDbJNADAFiN\nu47UrgrKbp3k/1TV8JTPf1NVD0jyD0kePrh0bpIfO9Tg3X1JDjx8Yqt99H4hyQnzz9/Y3S89VO9V\nmB/c8Z5BeanQrbv/R5JfHLl048ye1HtTVX1jVV1jO/1q5vSq+t0kf7rgnP42m5dLJ8nPJnl9VQ2f\nVNtqLtevqh+oqtdm9nX9rix4wMrc2JN3xw5ev7y7h/vtLa2qTsvsJOKNxpYnAwDbtLb9PAAADjPD\n5bZfSvJzSX55/vpeSf65ql6e5G8zO5X2BklukVmId9pIz/cleVh3X7zNOZyVrwSLm/bRq6o7JXnM\n/OUVSR6/zb6r8r9zYAD3zVV1VHdfvtUNh9LdT6mqi5I8K5t/WX3fJK9O8sWqOivJ2UkuTPLpJJ/P\nLNC6dmZh022T3DPJTQ8y3Ie3Oa2fn/d75KB+/yRvqqrzMlua+0+ZHRbypSTHJ7leZnva3S3J7bJc\ngDf0wsyWVh8s3Nyt5bbfNnj9mSR/sUtjAcARoTzpDgCwvKr6kyT/eUPpnMwCorOS3H2Bln+X5Ju7\n+8IdzOHRmQU3SfL+7r714PpfJ7nf/OVzuvtHFpjXwuZ7230wycalpw/u7v+7gt73T/KCJDdftteI\nd2S2NHnb86yqq2UW7D05B/55l3Fid39q0Zur6o+yOWS8yvuTnLoby2Cr6uwcGHjv+b89ADjcWHIL\nALAawyf0zpk/efawbN6/7GC+lOTZSR6wkzBvbuNJt7eqqhtc9aKqHpmvhHn/muSpO+y9tO7+cJK/\nHJS/Y0W935jZU3E/neTjK2h5ZZLXJnlUkrvuNHTs7iu7+ylJvik7+/qPuSjJ/0zyhSX7HOwJvN/f\npTDvtGz+38bvrnocADjSeEIPAGBJVXXdzEKyjU9i/VB3/+78+jWTPDGzvfBusLlDkuQTme3b9svd\n/YEl5nJBkqtOj31od7+qqo5L8t4kJ8/rP9bdv73oGMuY7xX4+g2lS5LcdJV7t1XV0Um+Ockjkjww\nsz31tuNjmT1Z+ddJ/qi7z1/hnB6W2cmy989X9jA8mPcneV2S1yR51SoOLpkfyvH+zJZ5b3Rlkpt3\n90eXHWNkzGcn+f82lF7X3cseWAIARzyBHgDAkkZCqiS5R3e/bfC+q2e2t93XJrl+ki8nuSCzvfLO\n7u4rVzCXl2UWZCXJmd39tKr6hSQ/M6+9K8mdu/uKZcdaVFWdkwMPEdnVgLGqTs7s6b2bZRamHZvk\nsiSfnX98Jsm7VxngHWQuldnX/9aZ/Ru4fmarZj4/n8v7krynuz+723PZbVV1TJLzc2CI/dDuHjvx\nGADYAYEeAMCSquonMztw4CqXJ7l2d39pzXN5dZL/muTdSa45rz2ou1+31/PaqKq+JcmfbSj9c5Lb\nriLQZP+oqu/Lgct839bdmw5rAQB2zh56AADLG+4R9k/rCPPmNu6jd48kv5avhHl/uu4wL0m6+xVJ\n3rqhdJskZ6xpOuyC+aEgTxyUf2bsvQDAzgn0AACWNwz0zl3LLGbOyWwpbzJbzvkt888vzYF7ma3b\nTw9fz5ejcnh4RJKv3vD6Dd392nVNBgAONwI9AIAlVNV1kpw6KK8t0Js/GTg2/q8uc9jGqnX3G5K8\nbEPpzkm+fU3TYYXme0U+fUPpiiSPX9N0AOCwJNADAFjOXXLg6bbJep/QS5K3DF6fn+SZ65jIIfx4\nkos3vP7F+UEKTNv3ZXYIyVV+u7vfua7JAMDh6Kh1TwAAYOKGy22vSPIP65jIBn83eP1T3X3x6DvX\nqLs/UlXfkVkoepVbJDlvPTNiRSrJmfPPO8mvr3EuAHBYEugBACxnGOi9t7svWctMvuIBGz4/q7tf\nuLaZHML8gIxXrHserE53P3fdcwCAw50ltwAAy9lPB2Kkqm6Z5PvnL69M8rg1TgcAgF0g0AMAWFBV\nXTvJaYPyuvfP+5UkR88///3uPmedkwEAYPWqu9c9BwAAVqCqzkjykvnLTyf56u7+9BqnBADALvCE\nHgDAYaCqHp7k+RtKjxPmAQAcnhyKAQAwQVX1jUl+KLPltaclOXXD5f/V3S9ay8QAANh1Aj0AgGl6\nWJJvGam/NskP7vFcAADYQwI9AIBpuup03SuTfDzJe5M8L8mfdPfla5sVAAC7zqEYAAAAADAhDsUA\nAAAAgAkR6AEAAADAhAj0AAAAAGBCBHoAAAAAMCECPQAAAACYEIEeAAAAAEyIQA8AAAAAJkSgBwAA\nAAATItADAAAAgAn5/wEp71cd7frZsgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110a3aa50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(20,20))\n",
    "_ = plt.hist(d['py'][:], histtype='step')\n",
    "_ = plt.xlabel(r'$p_y$ (GeV)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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G5zrqu1p3X5Xk/YPyrZIcvehaAAAA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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11087f550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(20,20))\n",
    "_ = plt.hist(d['pz'][:], histtype='step')\n",
    "_ = plt.xlabel(r'$p_z$ (GeV)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {
    "collapsed": false,
    "deletable": true,
    "editable": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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85AG+riS/n+RfVtX/mvQaAAAAAGyOjYhlJ5N8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\n/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/M2OEkajj+mfKmz0UmZeeYQ2r0/8MRBG4mIobQzXzLzWuBzteLNgJeOqMs/bij7RD1R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\n6mRVzZ0+6PfX0aRve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BQROVlElms2gDi2FpH/BmbgHPmdiE47E3ggsC0HTBaRc0Vk8+QJ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\nj3vz1wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11087aa90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(20,20))\n",
    "_ = plt.hist(d['overflow'][:], histtype='step', bins=100,\n",
    "             label=['layer0', 'layer1', 'layer2']) # per layer\n",
    "plt.yscale('log')\n",
    "plt.legend()\n",
    "_ = plt.xlabel(r'Overflow Energy (MeV?)')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "deletable": true,
    "editable": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  },
  "latex_envs": {
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 0
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}