{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "sys.path.append(\"filval/python/\")\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "from utils import ResultSet\n",
    "from utils import clear, show_value, show_function, normalize_columns, CANVAS, PDG\n",
    "from plotter import histogram, histogram2d\n",
    "mpl.rc('text', usetex=True)\n",
    "mpl.rc('figure', dpi=180)\n",
    "mpl.rc('savefig', dpi=180)\n",
    "mpl.rc('savefig', transparent=True)\n",
    "scale = 0.85\n",
    "figsize = (scale*10,scale*6.6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# First create a ResultSet object which loads all of the objects from output.root into memory and makes them available as attributes\n",
    "rs = ResultSet(\"DY2LL\",  \"/home/caleb/Sources/EGamma/build/output.root\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot_histogram(h1, *args, norm=None, include_errors=False, **kwargs):\n",
    "    \"\"\" Plots a 1D ROOT histogram object using matplotlib \"\"\"\n",
    "    import numpy as np\n",
    "    bins, edges = histogram(h1, include_errors=include_errors)\n",
    "    \n",
    "    if norm is not None:\n",
    "        scale = norm/np.sum(bins)\n",
    "        if include_errors:\n",
    "            bins = [(bin*scale,err*scale) for (bin, err) in bins]\n",
    "        else:\n",
    "            bins = [bin*scale for bin in bins]\n",
    "    bins, errs = list(zip(*bins)) if include_errors else (bins, None)\n",
    "    \n",
    "    left,right = np.array(edges[:-1]),np.array(edges[1:])\n",
    "    X = np.array([left,right]).T.flatten()\n",
    "    Y = np.array([bins,bins]).T.flatten()\n",
    "    plt.plot(X,Y, *args, linewidth=1, **kwargs)\n",
    "    if include_errors:\n",
    "        plt.errorbar(0.5*(left+right), bins, yerr=errs,\n",
    "                     color='k', marker=None, linestyle='None',\n",
    "                     barsabove=True, elinewidth=.7, capsize=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [
    {
     "data": {
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7dRfrjGy7ctf/bW7P97tdLKb/h76+x/+Tl13s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AAAgBnR0xsAgGk5n27vlFLKYZJn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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9de13c7be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=figsize)\n",
    "plt.subplot(221)\n",
    "plt.pcolormesh(*histogram2d(rs.dphi_v_eta_first_hits_in_B1))\n",
    "plt.colorbar()\n",
    "plt.ylabel(\"$\\\\Delta \\\\phi_1$(rad)\")\n",
    "plt.title(\"BPIX - Layer 1\")\n",
    "\n",
    "plt.subplot(222)\n",
    "\n",
    "plt.pcolormesh(*histogram2d(rs.dphi_v_eta_first_hits_in_B2))\n",
    "plt.colorbar()\n",
    "plt.title(\"BPIX - Layer 2\")\n",
    "\n",
    "plt.subplot(223)\n",
    "\n",
    "plt.pcolormesh(*histogram2d(rs.dz_v_eta_first_hits_in_B1))\n",
    "plt.colorbar()\n",
    "plt.ylabel(\"$\\\\Delta z_1$(cm)\")\n",
    "plt.xlabel(\"$\\\\eta$\")\n",
    "\n",
    "plt.subplot(224)\n",
    "\n",
    "plt.pcolormesh(*histogram2d(rs.dz_v_eta_first_hits_in_B2))\n",
    "plt.colorbar()\n",
    "plt.xlabel(\"$\\\\eta$\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"figures/first_hits_v_eta.png\", transparent=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ttQJLKg8Pa2WHf//LWtnaq6+0au/o7z+qlV36\n3pV2x/71/1M/9sUXa2Xf+bv6X3t58Ntv/blcrtd54d/9vNU44vnnW5Xl88/V+/j/fluv94u/r7f3\n1j+tl/2i/tp956OGv+Ibnlvj+A4axlI/MspzDe299t1v1zl4Wm/r6ae1skuX1+ptffFlvazhc9c0\n3u88/axWdvSrf6i39+a/Xy/77e/qZQ2e/9v6572xjxdfqBWVhvYOf1fv99J3v9tQc8KzZ7Wi/OWv\nzj4uIkrD2Jraa+zjq4Z6AMCF8OzDJ52PXftfH9fbm2YwU5jmeQyh/Xn1MaR+ARZlbhPlERGZuRsR\nu/PsEwCAJbOiK1gAAGBqsnRnc9l6BQAA2rKnIgAAdLNse5SXUh6VUjbn1+PJBjFRXkr580WPAQAA\nAACA+Sil3I6Iq4sex9hCJ8pLKX9eXdTz3iLHAQDAgLj4EAAAdLMkF/MspWxExJ3Z99TeQibKqwny\nv43RBHm7q/wBALASlulUUQAAGJIl2nplJyJ+MpeeWprrRHkp5V8emyB/KyLKPPsHAAAAAGBxSik3\nI+JBRBwseizHzWWi/NgE+cP4ZoJ8J0aryQf1ggAAsGBLcKooAAAM0sC3XimlrEfE25n5/ux66eby\nLBsvpfzLGE2Ib8Q3q8fvRsRfZOZvqzqzHAIwZ5defLFWdvjJb+r1Pv+iXva9K7WybKiXXz1rNZbG\nege/rY/v6dNv/Xntcru/Go9+97tW9Zqsffllvb1/fNpQsy7/r7+plZXvfrder+G1i4bnlp/Uv69s\nei+a3sc8PKyVrU30++xp/Xmtra/X2/rlx7WypvHGs/r72vYzUV58od7cz/62Vnbp+Xq9fPZVqz4a\n+42G9hren3L5uVpZ0+ds8ues6fk3/uva9P7/rv7+lO/W3/+jhs9Jk6bPBJybiW6AlfXswye1sstv\nvdmqXp99XmRtn++sX/e2Vu39gakNP0vvRMT2ogfRZCYT5W0myAEAAAAAGK5STt+xPDNbr4IupVyP\niMeZOcgdRnqdKC+l/IsYTZBvhglyAAA6cDFOAADoZuBZ+t3M3Fr0IE7Sy0S5CXIAAHoz7HAPAADD\n1XOWPs+K8dOUUga75crY1BPlpZQbEXEvRm9DCRPkAAAAAABERCnlakR8mJn7ix7LafpYUf6TiHgn\nIrYi4l9k5r/roU0AAFaVFeUAANDNMLP0rSFvuTI29UR5tXL8VinldkTsVBu872Tmz6dtGwAAAACA\n5VStJt8opTxqePid6v69UsonEbGXmQvbnqW3i3lWE+b/upTyZkT8m1LKKxGxbcIcAIDzGPgFiAAA\nYLCGlqUzczci3m56rJTyMCKuR8SNzNyb68Aa9DZRPpaZT8KEOayso88/b1fxcv2vn2e/+nWrQ9eu\nXKmV5bOvWpUdHXxRK7v0/AvfPu7zep2mttrKw8Na2eEnv6mVlcvP1cqOvqyPZW19vd5Hw5ibtL0C\nR+Nr0PA8ytparWzyM9BUp6n9pufadGzT69Tk8OCgVjb5Xp+kvFiv1/TZaTu+prE0vi4Nr/HlP/h+\nrWzyZ6XxfWj5ejbJp09rZU2vXXmuIUZ82aoLON3Awj0Ai/XswyeLHsJKmvXrfvmtN+feJ6wEWbqz\n3ifKxyYmzO9WW7KYMAcAAAAAYLwS8NWFjqIys4nysWrC/F+ZMAcAoI2hnS4KAADLYuhZupSyHhEP\nI2KjukVEPCql7EXEg8y8u6ixzXyifOykCfN59Q8AwJIYeLgHAIDBGniWzsyDUspWZtb3KF2wuU2U\nj01OmMdoif3A30IAAAAAAKY1xEnyiIhLi+o4M59k5r+KiHci4i8XNQ4AAAYme7gBAMAq6iNLr2ie\nnvuK8kmZuRcR/2rR4wAAYBjKogdwglLKZkTcOVa0ERH3MvP+CfU34putBg+q+g8y8/2ZDhQAgJU1\n1Cy9DBY+UQ4AAENXSrkZEW9n5taxsqsxuvDQrcx8e6L+RkQ8joitzNw9Vv64lLKxyIsUAQAAdSbK\ngV5devHFVvUOD9ptR7V25UqtLL96Visrl5+r13v2Vb3e2tqZfTYdl4eHtbJLz79Qb/+5+l+rR59/\nXq/XcrxNfcSz+vNvO+by7Oznf56xHH35Rb2Pide4cRwNz7/pvWms1/AaHz592qq9pvE2afp8tn3+\nTdp87k6qd/SP7Z5bn5rab/pMtH3+cG7DPNVzJyK2jhdk5m4pZS8iNkspNydWlj+MiN3jk+SVGxHx\nuJSyW51ZCbBwl996s1b27MMnCxgJF5XPGMzRMLP0UljYHuUAANCk5PS3Xscz2nJlPUarxzcmHt6v\n7q9N1N+MiAeTbVWT4wfx7S1cAACgF31k6b7z9LKwohwAAE6RmXvVyvHIzP0Tqh0vf7ehbLLu1Z6G\nBwAA9MBEeQt9XoipS1vnPeY89Uspt2O0AmonIj7IzIPq+KsRcSsifpyZ7fbIAADowwBXsEzuQX7M\neML7XkPZSRlqP0bbtWyuwvYrsrQsDQDM0QCz9LIwUX6GPi/E1KWt8x7TcbxXq1uU8q1r414T7AGA\nuVuScH9sS5btiZXm4+1ZPjmjiY2IuNAT5bK0LA0AzNmSZOkhskf52U67ENNO9QvSLNs67zFd+tiP\nb1Y87UfE/Yh4paENAIClUkrJ025TtLseo33GtxomT9fPOHw8gf5q1/6XiCwNAMBSMFF+ij4vxNSl\nrfMeM8V4b2XmK5lZMvOtzLxl9QsAsChDvvhQKeVmKeVhRDyJ0SriH1WT5jWrnqdkaQCA+XMxz+5M\nlJ+uzwsxdWnrvMe4cBQAsPyyh9u4qdHk5Ym3cw8t835mbmXmKzHax/p2RDyutuzg22RpAIB56yNL\nr+hEuT3KT9fnhZi6tHXeY1w4ioU7+vzzWlkeHnZu7/Dp087HlrW1VmOZLLv0/Autjjv68ot6p1+2\nG1tTe03jberjUrQbX1vTHNvmNW56PRtfuwaNY+v5NZ7mvWiq13YsTbr2Wy4/16r9tpray2dfnTmO\niOk+T7BsMvN+KeVaRFyP0cU8r1UPHcTp26+Mt1w5aw/zZSdLw5J49uGTRQ+BC85nDFgGVpSf7jwX\nYppFW+c9pvN4Sym3Syk71e1hKeX6GW2calb7gQIAF9+SnSo63qbj6uSq8pO2ZDnmom/PIUt3JEsD\nAF3ZeqU7K8pP1+eFmLq0dd5juo53J0YXotqP+PqXuiellB9l5vYZbQIA9GtgwbyUcjUitiLiXsNK\n4uPbdGxWf/4gRquTX43myfDxROsHPQ91aGRpWRoAmLeBZellYkV5C31ejKdLW+c95pz19yLixjjY\nHzt+OyJuV78Ynlvf+4ECACzQw4i4GaMJ0UnHJ03Hk+iPqvuTVkqvR8TeqlzwUZY+P1kaAGD+TJSv\nuMzcPWGPxd3qvukXQgCAmRngqaIfxGhl+KOGx8aT4fvHJkvvV/fXJitXq4034pstW1hisjQAMDS2\nXunuQm69Ukp5FBHvdDz8zWOrSPq8EFOXts57TJ/jHdfZbFEXAKA/wwvmOxFxKzPvNjw23lpja1yQ\nmQellO2IuHPs8bE7MZpUb2prEGTpc/VxElkaAFiM4WXppXEhJ8ozs7Z6ZxqllPUzTsFsfXpml7bO\ne0zb+tWKpquZ+f5kheoXvLbtAQBcWJm5W0pZryaQH8U3W6yMJ8GvTa4qzsy7pZTXSimPI+JGjPYu\nvxkR16NhpfmQyNKyNADAKrqQE+U96vNCTF3aOu8x563/XkRcL6Xcz8xbxytWwT8i+t1XEsYuPf9C\nrezoyy9qZWVtrVV7eXjYqqxNe03jmIdy+blaWdNzaDu+pufa1F5bXV/PfPZV5z7bmuZz0ne9tmPp\ns9+242hbb1E/A/C1Aa6CqSZD36/2nB5nqu0Ttt0YH7NdStmIUT67GqN9yd+a/WgHQ5YOWRqG6PJb\nb37rz88+fLKgkdRNji1iWOMDlsAAs/SysEf56fq8EFOXts57TJc+ztxv84S2AABmYsh7KlZ7Ut+v\nbidOkh+rv1/VvZuZu2fVv2BkaVkaAJgze5R3Z6L8dOe+EFMpZaOUslOtHpqqrQ7HnLf+o4jYajpd\nNEaraSJcgAgAgG5kaVkaAGBpmCg/RbVaZDtG+0lOOulCTPci4nZMhOIubZ33mA7170fE9vFTQyO+\n/kXgTkTsVnUAAOYne7ixcLK0LA0ALEAfWXpF87Q9ys/Q4UJMDyPinaivaOl0UafzHtOhj62IeFhd\nnGq3Gvt2RPxkcq9FAIB5KLmiyfwCkqUBAOZLlu7ORHkL57kQU7Vq5MSVI10u6nTeY8453oOIuFZK\n2YxRsP8kIt520SEAAPogSwMAsAxMlLeUmftxSmifdVvnPaZD/b2IOPOCVAAAM2cRzIUjSwMAzIks\n3ZmJcgAABqUI9wAA0Iks3Z2JcmAh8tlX7eodHvbbb0N7ZW3t1D/PYhyXnn+hVnb05Re99jEU07x2\nbd+Lvt+ftvr+rPT5uWg7jrb15vFzAQAwD88+fLLoIZxoyGMDuOhMlAMAMCxWwQAAQDeydGcmygEA\nGBSniwIAQDeydHeXFj0AAAAAAABYJCvKAQAYFqtgAACgG1m6MyvKAQAAAABYaVaUAwAwKPZVBACA\nbmTp7kyUAwAwLMI9AAB0I0t3ZqIc6FUeHi56CF8ra2u1sqbxLWLMR19+Mfc+T9L2dWrSVG+yvbZt\ntR3HNOOdpt8mfX92Zv25GNJzBQBYdZfferNW9uzDJwsYSXvLOGaAtkyUAwAwKE4XBQCAbmTp7kyU\nAwAwLCndAwBAJ7J0Z5cWPQAAAAAAAFgkK8oBABgUp4sCAEA3snR3JsoBABgW4R4AALqRpTuz9QoA\nAAAAACvNinIAAAalHC16BAAAsJxk6e5MlAO9KmtrvR6bh4ed22s6tu8+hqzt8+r7+Xdtb5rxXnr+\nhVrZ0ZdfdG5vSJ+TPsfS9rghPX9WlNNFAVgBzz58sughnNsyjhlWjizdma1XAAAAAABYaVaUAwAw\nKMUqGAAA6ESW7s5EOQAAw5LSPQAAdCJLd2aiHAAAWiilbEbEnYhYj4iNiNiPiHuZ+f4J9TciYrv6\n40F1zIOT6gMAAItjohwAgEEZ4umipZTrEfFuRNzIzIOqbCciHpZS3s/MrYn6GxHxOCK2MnP3WPnj\nUspGZt6d4/ABAFgRQ8zSy8LFPAEAGJbs4dajUsp6RNzJzK3xJHlERGZuR8RuRFwvpdyeOOxhROwe\nnySv3IiInWp1OgAA9KuPLL2ik+0mygEA4HQ3I+LeCY/tVPe3xgXVJPhmRDyYrJyZezHahuVOz2ME\nAACmYOsVoFd5eLiQfsvaWq2saSx9jq9tn8ze0Zdf9NrePN7Hps9Pk0V8pnyOWbQBni76oxitGo/M\nvD/x2H51v1FKWa9WnL878dik/Yi4OoNxAgCw4gaYpZeGFeUAAAxL5vS32bh1dpWI+GYS/OCEx/cj\nYt32KwAA9K6PLD27PD1oVpQDAMDpbsRocrtp+5XxZPfBsf3LN6r7T85odyMi9qYfHgAAMC0T5QAA\nDMrQThetJsC3T3h4vMr8+OPrZzQ5nkB/dZpxAQDApKFl6WViohwAgGHpMdyXcvqvCplZpmj7aoy2\nWdlr2Ls8jq0wBwCA+TBR3pk9ygEA4JxKKesR8TBGW7L8eMHDAQAApmRFOQAAg9Ln6aLTrBg/w3sx\n2kLl7YaV4wdx+vYr4y1XztrDHAAAzsXWK92ZKAcAYFiOhp3uSyk7MboQZ9Mk+fF662dsv2JrFgAA\n+jXwLD1kJsqBXpW1tVpZHh7OvN959DGEPmdhUe/ZqpvmNZ58z5ra8r7CbJRSbkbEZma+PVF+fFL8\ngxjtXf5qNE+GbxyrBwAADIA9ygEAGJbs4TYD1cU7tzLzWsPD7x37/0fV/UZDvYjRtix7LvYJAEDv\n+sjSK7oo3UQ5AACDUnL6W+9jKmUjIm6dMEke8e1J8fvVfa1udRHQjYh40O8IAQCgnyw9ozy9WUp5\nWEp5VEr5sLq/3n9P3ZkoBwCAU1ST248j4mop5TcNt4xjF+asVopvR8TNhubuRMR+Zt6dy+ABAGDB\nqgnxOxFxIzOvZeZbEbEXEQ9LKQ8XO7pv2KMcAIBhycGd6/lejLZLOc3+8T9k5t1SymullMcRcaN6\n/GZEXI+GleYAANCLgWXpatHJnclr/GTmdillMyKul1JuD2EhiYlyAAAGZRanek4jM7c6Hrddbdly\ntbrtVatnAABgJoaWpWO0WOTeCY/txCgn34oIE+UAAHBRZeZ+fLNnOQAArJofxWjVeGTmZC4en5W5\nUUpZX/TF7u1RDgDAsGQPNwAAWEV9ZOnZ5OlbM2m1R1aUA73Kw8NW9craWudjh+IiPIeI5RzzslnE\nZ8X7yjIrA9tXEQAAlkXfWbq6cP2JMrOc0cT4ej1N269sVvcHi15NHmGiHAAAAACAGagmwLdPeHi8\nyvykx+fKRDkAAMNytOgBAADAkuo5S7dYMd5JKeX4Be8HcU0fe5QDAAAAADAXpZT1iHgYoy1Zfrzg\n4XzNinIAAAbFHuUAANDNkmTp9yLik4h4ewh7k4+ZKAcAYFiWItsDAMAADTxLl1J2ImIjBjZJHmGi\nvJVSykZ8s6n8QYzezAeZ+f482pqm/1LKZkTsn/bB6/P5AQDAcbI0AAAREaWUmxGxmZlvT5SvD2HS\n3ET5Garg+zgitjJz91j541LKRmbenWVbXfs/FthvRsS1iNg9pV4vzw8AoBfLcbooLcjSsjQAMGcD\nzdLVxTu3MvNaw8PvRcTWnIdUY6L8bA8jYvd48K3ciIjHpZTdzNybYVvnOqaUci8i3olRmH91RmOC\nqeXh4cz7KGtrC+kXJvX9ueuzPT8nDFEZZranG1laloaFuvzWm7WyZx8+WcBIAOZjiFm6Wlxw64RJ\n8ojRGXkLd2nRAxiy6lTLzYh4MPlYFXgPIuLOrNrqckxm3srMtzNzO0ZXju11TAAA0IYsLUsDAJRS\n1mN0Bt7VUspvGm4Zowt7LpwV5ad7t7o/KSTvR8TVGbbVZ/99jQkAYLYGeroo5yZLy9IAwLwNL0u/\nFxHrZ9Q5dYHCvFhRfrpxsD1pM/n9iFivVpPMoq0+++9rTAAAM1WOpr8xCLK0LA0AzFkfWbrPPJ2Z\nW5lZzrjd6q/H7kyUn268P85Zy//b7KPTpa0++z/tuN7bL6XkabfzDxUAgCUjS3dsX5YGAJg/W6+c\n7qzTAsahuM2Ffrq01Wf/TWbdPgDA+Q3vdFG6kaWnax8A4Pxk6c5MlLeQmSedTjmXtvrsf17tZ2Y5\n7XErYQCAE0kJF4os3alNWRoA6EZK6MzWKwAAAAAArLQLuaK8lPIoIt7pePibx1aFHMTpp1SOT6M8\na1/Crm312X9fY4JzK2trtbI8PFy6PubdPsxD28/xIn7GWF3F6aILJUu3JkvDEnj24ZNFDwFgrmTp\n7i7kRHlmXuuzvVLK+hmnVLY+3bJLW33239eYAABmRrhfKFn6fGRpAGBQZOnObL1yug+q+5MuwLMx\nUa/vtvrsv68xAQBAG7L0dO0DADBHJspP96i63zjh8fWI2Gt5AZ8ubfXZf19jAgCYraMebgyBLC1L\nAwDz1keWXtE8baL8dPer+9rpp6WU9RiF4gcT5RullJ1SymRgPndbHY85j1m3DwBwbiVz6huDIEvL\n0gDAnPWRpVc1T5soP0W1+mM7Im42PHwnIvYz8+5E+b2IuB0RO9O21bH/49Yn7r+lh/YBAKCRLC1L\nAwAskwt5Mc8+ZebdUsprpZTHEXEjIvZjFIavR8PqkYh4GBHvRMPqkQ5tnfuYUsrtqnwjvjkN9GEp\nZb86diczd6cZEwDATK3oCpaLSJYGAJgzWbqzkl68VqrTP6/GN3sN7p5xSK9t9dn/Itpv6C8jIq6W\n67PshoEoa2u1sjw8XLo+YJX5GVsdu/l+RERkZpl33+N88J9v/tdTt/W/7P03EbGY50GdLN0vWRoA\nhmtRebrPLB2xmnnaivKWMnM/vtmHcO5t9dn/ItpntbWdTJtmIs6EHatk8mdlms9/2587P2PANGRp\nACZdfuvNWtmzD58sYCQAIybKAQAYlqNFD+B0pZTNGO0/fXBKnY0Y7V8dEXEQ1YUdM6slRgAAMAsD\nz9JDZqIcAIBBKQPdGvDY5PfNGO0/3bi9RlXvcURsHd+Co5TyuJSy4QKPAADMylCz9DIwUQ4AAKco\npdyL0QUmdyPi1RaHPIyI3YZ9qm9ExONSym5m7vU8TAAAYAomygEAGJaBrYLJzFvj/y+l7JxWt9qW\nZTMi/qKhnb1SykFE3ImIrb7HCQAAQ8vSy8REOQAAw7Lc4f7d6n7/hMf3I+LqnMYCAMCqWe4svVCX\nFj0AAAC4QMaT4Cdd6HM/ItarlecAAMBAWFEOAMCwLPcqmI3q/pMW9exTDgBAv5Y7Sy+UiXJgIcra\n2qKHMDdNzzUPDxcwEqYxj/exbR+TZW2P6/s5+GwzM0eLHsBU1s94fDyB3uaioABwYT378MmihwAX\n03Jn6YUyUQ4AwIVVSjl1SU1mlln0m5knbb0CAAAMkIlyAAAGpThdFAAAOpGluzNRDgDAsPQYj/sn\npAAAIABJREFU7me1YvwUB3H69ivjLVfO2sMcAADOz0R5Z5cWPQAAALhoSiln7VVuaxYAABgQK8oB\nABiWo6VeBfNBRFyN0crxpsnwjWP1AACgX8udpRfKinIAAIYlc/rb4jyq7jdOeHw9IvZc7BMAgJno\nI0uv6PYtJsoBAKA/96v7a5MPVNuxbETEg7mOCAAAOJOtV4CFyMPDRQ9hbpbxuZa1tVrZMj6PPs3j\n+Xfto+1xfT+HVf9MMEPDXsGyPnH/LZl5UErZjog7EbE98fCdiNjPzLszHB8AAKts2Fl60EyUAwDA\nKUopt2O0QnwjvtlS5WEpZT8i9iNiJzN3x/Uz824p5bVSyuOIuFHVuRkR16NhpTkAALB4JsoBABiW\nga2CqVaAn2sVeGZul1I2YnRhz6sx2pf8rVmMDwAAvjawLL1MTJQDADAsRxcj3GfmfnyzZzkAAMze\nBcnSi+BingAAAAAArDQrygEAGJY8WvQIAABgOcnSnZkoBwBgWOyrCAAA3cjSndl6BQAAAACAlWZF\nOQA1eXi46CGwQGVtrfOxPjv0wgWIAACgG1m6MxPlAAAMi9NFAQCgG1m6M1uvAAAAAACw0qwoBwBg\nWKyCAQCAbmTpzkyUAwAwLMI9AAB0I0t3ZusVAAAAAABWmhXlAAAMy9HRokcAAADLSZbuzEQ5AADD\n4nRRAADoRpbuzEQ5APAteXi46CEAAADAXJkoBwBgWKyCAQCAbmTpzkyUAwAwLEfCPQAAdCJLd3Zp\n0QMAAAAAAIBFsqIcAIBByTxa9BAAAGApydLdmSgHAGBYnC4KAADdyNKd2XoFAAAAAICVZkU5AADD\nklbBAABAJ7J0ZybKgYUoa2u1sjw8XMBIABicI/sqAgBAJ7J0Z7ZeAQAAAABgpVlRDgDAsDhdFAAA\nupGlOzNRDgDAoKTTRQEAoBNZujtbrwAAAAAAsNKsKAcAYFicLgoAAN3I0p2ZKAcAYFiOhhvuSykb\nEbFd/fEgIjYi4kFmvr+4UQEAQEWW7sxEOQAAtFAF+8cRsZWZu8fKH5dSNjLz7uJGBwAAw7UMWdpE\nOQAsQFlbq5Xl4eECRgIDlIO9ANHDiNg9HuwrNyLicSllNzP3FjAuAAAYkaU7M1HeQp+nBXRpa5r+\nSymbEbGfmQcnPH47Iq5FxE5EfJCZB1V/VyPiVkT8+KRjAQBmIQd4umiVqTYj4i8mH8vMvVLKQUTc\niYiteY9t6GRpWRoAmB9ZujsT5Wfo87SALm117f/YLwQ3YxTeJ7+tOe5qdYtSyvHya4I9AEBERLxb\n3e+f8Ph+VHmKb8jSsjQAQCxJlr606AEsgdNOC9ipvhGZZVvnOqaUcq+U8jhGK1hebTmu/Ritrhn/\n//2IeKWhTwCA2cuj6W/9Gwf3kyY+9yNi/ZzZcBXI0gAA89RHlu4/Ty9FljZRfopjpwU8mHys2jNn\nfFrATNrqckxm3srMtzNzO07+lmbSrcx8JTNLZr5VtWH1CwCwEHmUU99mYKO6/6RlvZUnSwMAzF8f\nWXoGeXopsrSJ8tP1eVpAl7aW4rQEAIAVsH7G4+PQ33YV8iqQpQEAiFiSLG2P8tO1OS1gs5Sy2eKq\nrF3a6rP/uSqltPrqaff813Dioni26AHAgvkZgBPtHv2kt7bOyiSZWU57vKG+lcLtydIdydIAQFd9\nZumIfvP00LO0ifLTnee0gLPCdZe2+uz/VKWU2xHx2rH2HmRK3gAAdCZLAwCwNEyUn67P0wK6tDWv\n0xJ2ImIrM/cjIkop6xHxpJTyo2p/xnM769uk8bdR513FxXLyfq8O7/Vq8X7Tt4F/lg7i9Gw2zmNn\nTcquEllalqYH3u/V4v1eHd5r+jbwz9JSZGl7lLfQ52kBXdqa8WkJexFxYxzsj/W3HRG3Syn2bQQA\nqFSToKcZ9OmkiyBLAwAQMfwsbaJ8xWXm7gl7Mu5W9zvzHA8AwEB9UN2ftPp4Y6IeK0CWBgBoZSmy\n9IXceqWU8igi3ul4+JvHVp30eVpAl7YWeVrCuM3NGbQNALBsHsXo4pAbMboI5KT1iNgb+gWK2pCl\neyFLAwB8Yymy9IVcUZ6Z1zLzlY632hvS52kBXdqa1WkJpZT1Usr1pseOvw4t+gcAuOjuV/fXJh+o\nstJGRDyY64hmRJZuPxZZGgCglaXI0hdyorxHfZ4W0KWtWZ+W8F5EPCyl3Jt84HigX/S3OQAAi3Zs\n3+mbDQ/fiYj9zLw731ENniwdsjQAwLJkaRPlp3tU3W+c8Ph5Tgvo0laf/Z/k4Fg/x437bDodAgBg\n5VTh/X4p5XEpZbNaUXw7Iq5Hw+oYZOmQpQEAImI5srSJ8tOd+7SAUspGKWWnlDIZyLucYjDr0xIe\nRcRWZr7f8NjV6t4FiAAAKpm5HRFbMdrD+2aMJlrfykwTonWytCwNAPC1oWfpkpmLHsOgVd9s3MnM\nVybKdyLiema+NVE+3pz+/czcmqatrsccq3MvRh+6kwL8eLxbDfsoPomIDzJzEN/oAACwfGRpWRoA\nYFlcXvQAhi4z75ZSXiulPI6IGzE6ffJmnHxawMMYfStSW53Soa1zH1P9MnAtRitkxitxHpZS9qtj\ndzJz99ghW9XjjyJitxr7dkT8JDNvnfzKAADA6WRpAACWhRXlLVWnf16Nb/Yy3D3jkF7b6rP/E9rf\njFGw/yQidl10CACAvsjSAAAMnYlyAAAAAABWmot5AgAAAACw0kyUAwAAAACw0kyUAwAAAACw0kyU\nAwAAAACw0kyUAwAAAACw0i4vegAALL9SykZEbFd/PIiIjYh4kJnvL25UAAAwfLI0wDCYKAdgKlWw\nfxwRW5m5e6z8cSllIzPvLm509KmUshkRdyJiPUa/wO1HxD2/xAEAdCNLrxZ5GobN1isMWinlUfUP\nCTBcDyNi93iwr9yIiB0/wxdDKeV6jEL9jcy8lplvRcReRDwspTxc7OgAOIk8DYMnS68IeRqGz0Q5\ng1VKuR0RVxc9DmajlLJZSnlY/fL2YXV/fdHj4nyq4L4ZEQ8mH8vMvRidOnpn3uOiX6WU9Yi4k5lb\nmXkwLs/M7YjYjYjr1d/ZAAyIPH1xydIXgyy9OuRpWA4myhmk6vQzgeCC8k36hfJudb9/wuP74Rf0\ni+BmRNw74bGd6v7WnMYCQAvy9MUlS18osvTqkKdhCZgoZ6h2IuInix4E/fNN+oUzDu4HJzy+HxHr\nThldej+KiHullJsNj41/sduofr4BGAZ5+gKSpS8cWXp1yNOwBEyUMzjVPxwP4uSwwHLzTfrFslHd\nf9KyHsvNzybAEpCnLzRZ+mKRpVePn08YMBPlDEr17enbrvh8ofkm/WI5630ah/5XZz0QZupGRNyN\niK2Gx8YrnA6Or2wDYDHk6QtPlr5YZOnVIU/DEjBRztDsRMT2ogfBXPgm/QIR6C62zDzIzO3MbNo/\nc/yz7O9ugGGQp1eDLH2ByNIXnzwNy+HyogcAY9VFaR4LCRfejRitdmk6ZdQ36bBESilXY7S35l5m\n3l/0eABWnTy9EmRpuEDkaRgWE+UMybuZ2XQaEhdIFdpP+qbcN+nL5yBOP2V0fJroWfsusmSqU7of\nxuiX9R8veDgAjMjTF5wsfeHI0itMnobhsfUKg1BKcYroivNN+nJrsQ+mVU0Xz3sx+qXtbavWABZP\nnl5tsvRyk6VXljwNA2NFOZ2VUh5FxDsdD39z/A9BFeo+PGGvLlaAb9KX2gcx+qXs1WgO8BvH6nFB\nVJMxGyHUA0xFnqYPsvRSk6VXlDwNw2SinM4y81pPTd1yiujw9fWL3Al8k768HsUo3G/E6JezSesx\nWtnkfb0gSik3I2IzM9+eKF/3PgOcjzy9OmRpTiBLryB5GobLRDkLVa1+2aiC46RxkHyvlPJJjAKC\n00kXpMdf5L7FN+lL735E7ETEtYjYPf5AtbppI5wGfmFUf2dvnfD3wXsRYZIGYM7k6eUgS3MCWXrF\nyNMwbCUzFz0GaFRKeRgR12MU+vYWPR76V32TXgsJvklfLqWU2xFxJzNfmSjfiYjrmfnWYkZGn0op\nGxGxc9KKxVLK48lVMQAsljx9scnSF4MsvTrkaRg+K8qBhfBN+sWRmXdLKa+VUh5HxI0YnTZ6M0a/\nmM9k9RTzVa1oelz9/28aqqzHxCooAGB2ZOmLQ5ZeDfI0LAcT5QzZ+Mrfry50FPSu+ib91imnoG6c\nUM5AZeZ29b5erW57Vr9cKO/FN38nn8QF5ACGR56+gGTpi0eWXgnyNCwBW68wKMeu2L4R3w54exHx\nIDPvLmRg9KZ6j5+cUmU9InZntY8jAMBFJk9fbLI0AMyOFeUMSmYelFK27Kl3ofkmHQBgRuTpC0+W\nBoAZsaIcAAAAAICVdmnRAwAAAAAAgEUyUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAA\nwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEoz\nUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4A\nAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAA\nwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEozUQ4AAAAAwEq7\nvOgBsJpKKbnoMQAAJ8vMMu8+Z5EPFvE8YNZkaQAYvnnn0Fnlg1XK01aUAwAAAACw0qwoZ6GuluuL\nHgJzsHblSqt6h0+fdm6v6diu9dqOg2Zt3u8+36/z9LEobZ8bDMFuvr/oIcTh3/+zqdtY+yd/28NI\nYNhk6dXRNV+1bavvbCbndDdN1r2oedpnjGWz6DzdR5aOWM08baIcAIBBOYqjRQ8BAACWkizdna1X\nAAAAAABYaVaUAwAwKIc5zFUwpZTNiLhzrGgjIu5l5v0T6m9ExHb1x4Oq/oPMAexvAwDAhSRLd2ei\nHACAQTmKXPQQakopNyPi7czcOlZ2NSIelVJuZebbE/U3IuJxRGxl5u6x8sellI3MvDuvsQMAsDpk\n6e5svQIAAGfbiYiHxwuq0L4XEZtV+D/uYUTsHg/2lRsRsVOtqAEAgFWwFFnaRDkAAINy1MN/faqC\n+HqMVrxsTDy8X91fm6i/GREPJtvKzL0YnTp6Z/IxAACYVh9Zus88vUxZ2tYrAAAMymEO63TRzNwr\npexV/79/QrXj5e82lE3WvdrT8AAA4GuydHcmyoFeXX7j9VpZfvpZray8/FKtbK2hvaZ6Te01OXz6\ntFW9Pq1duTKIcSxS1+fb9rhlfD37HnPT52wIfZ5kGd8zmDS5b+Ix45B+r6Hs4IRj9mN0iulmtSoG\n4Gtt8vRFzdIR8vQ0z/Wi5ulF5dqh5Olle7+gybJkaVuvAAAwKEeRU9/m4dhppNsTq2PGp5R+ckYT\nk6eeAgDAVPrI0vPI00PM0laUAwAwKIdzmuieRillPUZ7I25l5vsTD6+fcfg49L/a+8AAAFhpsnR3\nJsoBALiwSimn/qaQmeWc7d2M0cWGxqeE7pdSdjOzdmpoUxkAACyTPvP00LO0rVcAABiUIZ8qmpn3\nM3MrM1+JiO2IuB0Rj0sptlEBAGDhhrz1ytCztIlyAAAG5TBz6ttYZpbTbtOMMzPvR8T7Mdof8fgF\niM5a/TI+TfSsfRcBAOBc+sjS88jTQ8zSJsoBAKC7B9X91cmVMNXei6exNQsAAKtsUFnaRDkAAINy\n1MOtT6WUq6WUe6WUzYaH94/9//jxD6r7ky4wtDFRDwAAetFHlu4zTy9TlnYxT6BX+elnreo9++jj\nWtnalSut6jVpOvbw6dNWx07Wm6ataUzT76LGPBRDev6X33i9Vb2mn5WuY57mc9K2vVX6PLF4hzPc\nY7yjhxGxHqNQfm3iseMBfq+6fxSjCxRtxLfD/9h6ROy52CfQpE2eHnKWnra9aXTtd0hZclGG8hos\nIkuf51h5mmUgS3dnRTkAAJzugxid2vmo4bHxipb9zBwH+fvV/eQvAuNTSDfim9NMAQDgIluaLG2i\nHACAQTnM6W8924mI3cy82/DYdnW/NS6oVrdsR8TNhvp3YvSLQFNbAAAwlT6ydM95emmytK1XAAAY\nlL73GJ9WZu6WUtZLKY9itBJmfFroONhfy8y9iWPullJeK6U8jogbMTpt9GZEXI+G1TEAANAHWbo7\nE+UAAHCGzHw/It4vpYz3S4yI2J4M9RPHbJdSNmK0x+LVGO2l+NbsRwsAAMOxLFnaRDkAAINyGGXR\nQzhRZu6es/5+fLPPIgAAzJQs3Z2JcgAABuWo/z3GAQBgJcjS3ZkoB3p1+PTpYI69/MbrtbL89LPe\nxrF25UqrY9vW6/vYJm3b61PT+/Dso4977aPv5zDN6zTNc+v7/e7ruJMs4vMEABfdIv6d7zNLn2cs\nQ8nTQ87SEcuXpy9qlp722CbyNAyLiXIAAAZlyKeLAgDAkMnS3ZkoBwBgUIR7AADoRpbu7tKiBwAA\nAAAAAItkRTkAAINylFbBAABAF7J0d1aUAwAAAACw0qwoBwBgUOyrCAAA3cjS3ZkoBwBgUA6d9AgA\nAJ3I0t2ZKAcWYu3KlVrZ4dOnvfbx7KOPO/Xbdmx9j7dJ333MY8yTr1/X96Ft++c5dh7tDb3fNob0\nMwAA1A05S5+n3rLl6UVlxGXL06uepSOG9TMAtGeiHACAQXEBIgAA6EaW7s5EOQAAg2JfRQAA6EaW\n7s6mNQAAAAAArDQrygEAGJTDtJYDAAC6kKW7M1EOAMCgHDnpEQAAOpGlu/PKAQAAAACw0qwoBwBg\nUFyACAAAupGluzNRDizE4dOnM+9j7cqVTv1OM7amPsvLL9Ur9tzHNGO+/MbrtbJnH33ceSxtTDPe\nvj878/gs9t3v5Ove1NY0n5O29fr+LMKYfRUBTjfkLH2eem37nXWeXrYsHSFP9/0Zk6e5SGTp7rxy\nAAAAAACsNCvKAQAYlCOniwIAQCeydHcmygEAGJRDJz0CAEAnsnR3XjkAAAAAAFaaFeUAAAyKCxAB\nAEA3snR3JsoBABiUIyc9AgBAJ7J0d145AAAAAABWmhXlwGBcfuP1Wtmzjz7u9di1K1fOP7CIKC+/\nVCvLTz9rdWzfz6Gtpufa9Dymcfj0aafjGt+HN39Qb/+nP+ve3hTaPq+mfvs+9vLGD2tl+fGvW/Ux\na13ffzjLYZZFDwFg6Qw5S0csX54ecpaOGHaelqXbk6eZBVm6OxPlAAAMyqGTHgEAoBNZujuvHAAA\nAAAAK82KcgAABuUoreUAAIAuZOnuTJQDADAoThcFAIBuZOnuvHIAAAAAAKw0K8oBABiUwyyLHgIA\nACwlWbo7E+UAAAzKkZMeAQCgE1m6OxPlQK/WrlxpVa+8/FKt7NlHH3dur8+xNI0jnj5t1X55/fut\njm3S9/Nveo3z08/qFd/8Qb3fhnpN7TVpfP3ajO3JL1q137a9NuOImO41btveYcNnoKmsybP9n7fq\no6vLb7xeK2v8nDRo+xwAgPba/Ds/5Cx90liWLU8POUuf1N5FyNPLlqUj5Gm4SEyUAwAwKIdpFQwA\nAHQhS3dnohwAgEE5CvsqAgBAF7J0d75iAAAAAABgpVlRDgDAoDhdFAAAupGluzNRDgDAoBw66REA\nADqRpbvzygEAAAAAsNKsKAcAYFCO0gWIAACgC1m6OxPlQK8Onz6tla1duVIry08/q5VdfuP1Wtmz\njz5u1e9ay7E09dE0ljaa2o+m5/8nf1grKx9/0moc5fXv18qe7f+8Vtb2eTW+Jp9+UT/2zR/UyqJh\nzE0m3++m59DksOG9bvrsND2Htp+ntq9Jk7ZjaXtsW019TJZNM7amn7G27V3e+GG9vYbPJ5yX00WB\nVdYmT1+ELH1SH4vI00PO0hEXI08POUuf1Ic8zbKSpbvzygEAAAAAsNKsKAcAYFCO0loOAADoQpbu\nzisHAAAtlFI2SykPSymPSikfVvfXT6h7u3r8aillvSrbKKXcLKU8HpcBAMAqWIYsbUU5AACDchjD\nuwBRFeLfjYgbmXlQle1ExMNSyvuZudVw2NXqFqV86zldG7cBAAB9kqW7s6IcAIBBOcpLU9/6VK1Y\nuZOZW8dDeWZuR8RuRFwvpdxuOHQ/Ig6O/f/9iHglM3d7HSAAAFT6yNJ95ullytImygEA4HQ3I+Le\nCY/tVPe3Gh67lZmvZGbJzLcy85aV5AAArJilydK2XgEAYFAGeLroj2K00iUy8/7EY/vV/UYpZd1E\nOAAAiyRLd2eiHJi5w6dPa2WX33i9VpaffjbzsTz76OMzx7LWsq2m59VY76c/q5WtXbnSrpOG1+Ty\nxg9rZfnxr2tl5eWX6sc2lDX1URrKmt6fpj4my5rG1mTtT/6wXvjkF/V6Da9d42esYWxtP4tNn5Om\n59r0WWnqo6ms6Xm07WOyXtN427Y/zXNtem/bvj9wmr63TunRrRid8gkwV5P/lg45S0csX54ecpY+\naXxNhpKnly1LRww7T8vSnJcs3Z2JcgAAON2NGK12aTpldLO6P2haAVPtt/ha9ceNiHiQme/PZJQA\nADA8S5OlTZQDADAoh/1ePChPezwzzzw3tQrt2yc8PN5PsenxnYjYysz9aizrEfGklPKj6uJFAADQ\nqz6zdMT0eXqZsrSJcgAABuVoePsqNiqlXI2IqxGx17Df4l5E7I6DfcTol4RSynZE3CulPMrM3TkO\nFwCAFSBLd2eiHACAC6vNivEuqhUtD2N0GumPG/o9KbiPy3ci4u1ZjA0AAPoyizw91CxtohwAgEHp\n+3TRGXkvIj6JiLeb9lM8xSfV/eaptQAAoANZuruleOUAAFgdR1mmvs1SKWUnRhcTagz2pZT1Usr1\npmOP169W0gAAQG/6yNKzzNNDztImygEAoKVSys2I2MzMt08J6u9FxMNSyr2G47+ud87VMwAAsNSG\nnqVtvQL06vIbr9fKnn30cauytu21HsvLL7Xrd6LeYUOdtStXamXlz/60Xu9X/1gry49/fdowv/b5\nf/ZHtbLv/E//R61smtckP/2sVlZe/36t7Nn+z2tlTa/B7//oB/V6nz/7dp//9v+s1/mTP6wP7skv\n6mNreA+brLWq1fwcptH02jWN5fDp03rhm/XX7tlPf9aq3zbPt6nPtq/TNBqfK5zT4UDXclQXHNrK\nzGsND78XEVvH/nwQEY8a6m1U9/sNjwG0ytNDztIRFzdPLyJLR1zcPD3kLH1Sv/I0y0CW7s5EOQAA\ngzLrrVO6KKVsRMStE4J9xDehPWIU6u+dcBGiq9X9Tp/jAwCACFl6GibKAQDgFNUpno+r//9NQ5X1\niPg6yGfm/VLKo1LKBw2nlN6JiN3MvD/jYQMAwMItU5Y2UT5j1Tcm29UfD2L0DcmDzHx/1m11qH87\nIq7F6FuZDzLzoGrjakTciogf20sTAJi1o+GdLvpejAL8aSZP/9yK0d6Kj2IU/N+JUS77SWbe6n+I\nF5MsDQBwPrJ0dybKZ6gKxo9jtP/O7rHyx6WUjcy8O6u2puj7anWLUr51qsY1wR4AmIfDgZ0umplb\nZ9eqHXMQEddKKZsxCvafRMTb8lR7sjQAwPnJ0t2ZKJ+thzE6HWByT50bEfG4lLKbmXszaqtr3/sR\n8WqMvunZj9G3NtuCPQDA+VV5q23e49tkaQCAFTbvLD24tfgXRfWNx2ZEPJh8rHqTD2K0r07vbU3Z\n963MfCUzS2a+lZm3BHsAYJ6Oskx9Y7nJ0gAA3fSRpVc1T1tRPjvvVveTe+zEsfKrJzw2bVt99g0A\nMFdHaS0HsjQAQBeydHcmymdnHJ5PWkGyHxGbpZTNFqeMnretPvuGc3n20ce1srUrV2pl5eWXWh3b\nVNZWU7+XN35Yr/jpZ2c39uYP6u3//Je1stbP//Xv18pe+ptf1fttGG++/EKt7KvX6uN77oP/u1W/\nh3/wvXq9P/jTWtlRfXTxnb/75MzxHf1Zva347Pf1Phs+E601vD/xcX1sTRrfsz/5w3q9n/6sVnb5\njddb9dGkNIyvqb2m8dVeq6dPO4+jrabPTn7861pZ2+cAcAZZmpXVJk8uXZaOGHSeHnKWjli+PL10\nWTpi0Hlalob5MVE+OxvV/Vn/smzE2XvtnLetqfoupdyOiNeO1XmQme+f0RYAQC8OYzVP9eRbZGkA\ngA5k6e5MlM/O+hmPj4P3qzNoa5q+dyJiKzP3IyJKKesR8aSU8qPM3G4x1qiOy7Z1AQCOW9U9EfkW\nWRoAoANZujub1sxYnxfvOW9bHfrei4gb42B/rI3tiLhdSrEXIwAAcyNLAwAwL1aU87XM3D3hoXH5\nTkS83bKtU7++skoGADiJCxCxjGRpAGAIZOnuTJTPzkGcftrm+FTNNlfHOG9bffZ9vN5my/oAAJ0d\n2VcRWRoAoBNZujtfMcxYtS/haVqf0nnets5Tv5SyXkq53lTp+GmnLdoEAIBeyNIAAMyLifLZ+aC6\nP+kCQxsT9fpsq0vf70XEw1LKvcnKxwN9n/tEAgA0Ocwy9Y2lJ0sDAHTQR5Ze1Txt65XZeRQRV2MU\npPcbHl+PiL2WYfm8bXXt+6A6dtL4l4Gmtlhha1eu1MrKyy/VyvLTzzq3d/j0ab2PP/vT+rG/+sd6\ngy37jYYx1/r8uH529e//6Ae1su80tdV2HE31Gto7/OnP6v1u/LBe7483amVrP/9lrezSx7+uH9vw\nul9u6KPJ5Gt16fX6PMNXr9Wf13NPflErO2p4Dpf+qumvonof2dBvPGn3Xnz+g+/Wyl76+PVWx8ab\n9c/FWsNza/q5aHq+Tf9Qt/mZuvxGu/GuNRU2/Rw3fE7K699vVQ/Oy76KhCzNiugzTw85S0cMO08P\nOUtHLF+evghZOkKeZnnJ0t155WbnfnV/bfKBalXJRkQ8mCjfKKXslFIm/3Y/b1vn7jszWVM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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9de12739b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=figsize)\n",
    "plt.subplot(221)\n",
    "plt.pcolormesh(*histogram2d(rs.dphi_v_eta_second_hits_in_B2))\n",
    "plt.colorbar()\n",
    "plt.ylabel(\"$\\\\Delta \\\\phi_2$(rad)\")\n",
    "plt.title(\"BPIX - Layer 2\")\n",
    "\n",
    "plt.subplot(222)\n",
    "\n",
    "plt.pcolormesh(*histogram2d(rs.dphi_v_eta_second_hits_in_B3))\n",
    "plt.colorbar()\n",
    "plt.title(\"BPIX - Layer 3\")\n",
    "\n",
    "plt.subplot(223)\n",
    "\n",
    "plt.pcolormesh(*histogram2d(rs.dz_v_eta_second_hits_in_B2))\n",
    "plt.colorbar()\n",
    "plt.ylabel(\"$\\\\Delta z_2$(cm)\")\n",
    "plt.xlabel(\"$\\\\eta$\")\n",
    "\n",
    "plt.subplot(224)\n",
    "\n",
    "plt.pcolormesh(*histogram2d(rs.dz_v_eta_second_hits_in_B2))\n",
    "plt.colorbar()\n",
    "plt.xlabel(\"$\\\\eta$\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"figures/second_hits_v_eta.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4JOIBjonj1oZGKx4AAABgXEjEAzCVtOIBAAAAxoVEPABTSSseAAAAYFxIxAMw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\nn93t3JHdCpcvtvjs+STX0lks6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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9de127f828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=figsize)\n",
    "plt.subplot(221)\n",
    "plot_histogram(rs.dphi_v_eta_first_hits_in_B1.ProjectionY(), include_errors=True)\n",
    "plt.xlabel(\"$\\\\Delta \\\\phi_1$(rad)\")\n",
    "plt.title(\"BPIX - Layer 1\")\n",
    "\n",
    "plt.subplot(222)\n",
    "\n",
    "plot_histogram(rs.dphi_v_eta_first_hits_in_B2.ProjectionY(), include_errors=True)\n",
    "plt.xlabel(\"$\\\\Delta \\\\phi_1$(rad)\")\n",
    "plt.title(\"BPIX - Layer 2\")\n",
    "\n",
    "plt.subplot(223)\n",
    "\n",
    "plot_histogram(rs.dz_v_eta_first_hits_in_B1.ProjectionY(), include_errors=True)\n",
    "plt.xlabel(\"$\\\\Delta z_1$(cm)\")\n",
    "\n",
    "plt.subplot(224)\n",
    "\n",
    "plot_histogram(rs.dz_v_eta_first_hits_in_B2.ProjectionY(), include_errors=True)\n",
    "plt.xlabel(\"$\\\\Delta z_1$(cm)\")\n",
    "\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"figures/first_hits.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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vlFIuKE8DAMBpIogHYKRp1mT/4MrbSZJ/bvywrf3Zsz8lSd5//9K29i+/+S7f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\nP05yvdb63AS73aj+z/eb9G6A9fKs+wMAwOEjTt9OnA60lRn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ezSQnHqI+AAuk2+2m2+1u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\nX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hLxAAAAAAAwRhLxAAAAAAAwRhLxAAAAAAAwRhLxAAAAAAAwRhLxAAAAAAAwRhLxAAAA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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9de12914e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=figsize)\n",
    "plt.subplot(221)\n",
    "plot_histogram(rs.dphi_v_eta_second_hits_in_B2.ProjectionY(), include_errors=True)\n",
    "plt.xlabel(\"$\\\\Delta \\\\phi_2$(rad)\")\n",
    "plt.title(\"BPIX - Layer 2\")\n",
    "\n",
    "plt.subplot(222)\n",
    "\n",
    "plot_histogram(rs.dphi_v_eta_second_hits_in_B3.ProjectionY(), include_errors=True)\n",
    "plt.xlabel(\"$\\\\Delta \\\\phi_2$(rad)\")\n",
    "plt.title(\"BPIX - Layer 3\")\n",
    "\n",
    "plt.subplot(223)\n",
    "\n",
    "plot_histogram(rs.dz_v_eta_second_hits_in_B2.ProjectionY(), include_errors=True)\n",
    "plt.xlabel(\"$\\\\Delta z_2$(cm)\")\n",
    "\n",
    "plt.subplot(224)\n",
    "\n",
    "plot_histogram(rs.dz_v_eta_second_hits_in_B3.ProjectionY(), include_errors=True)\n",
    "plt.xlabel(\"$\\\\Delta z_2$(cm)\")\n",
    "\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"figures/second_hits.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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K7DsVwkAnAK/qtvuXtNfR2ex1Ju2vQgghAWAWjxMRERER3VxCCACAlFLMeShLh3N0IiIi\nIpqFWc7RZxKIXyWc5BMRERHRLDAQPz3O0YmIaNV88cUX+OSTT/CLX/wCX3/99byHQ7S0nnvuObz0\n0kt49dVX8cILL0x8PgPxc8RJPhERERHNAgPx0+McnYiIVoWUEk+ePEEURfMeCtHK0TQNd+7cSebd\n45jlHD2zGvG0eDzPg+M4aDab8x4KERERERERERH16A3CP//887h169ZEgUMi6pBS4tmzZ/jyyy8B\nIPndeu211+Y5rAQD8SvK8zzs7++jUCigWCwyGE9EREREREREtEC++OKLJFD4wgsv4Fvf+hbW1tYY\nhCe6Aiklnj59ip/97GfJ79jt27enKlOTNQbiV5DKhG+1WsnXpmmi0WjMeWRERERERERERAQAn3zy\nSfL5t771Lbz44otzHA3RahBC4MUXX8S3vvUtPH78GADw6aef4vbt23MeGQPxKykMw64M+FKpBE3T\nEAQBDMOY48iIaBUcHh7i8PCw69ju7i52d3fnMh4iIiIiIpoM5/SL4Re/+AWATjmatbW1OY+GaLWs\nra3h+eefx5dffonPPvuMgXiajUql0nesUCjMYSREtIpOT0/x8OHDrmPb29vzGQwREREREU2Mc/rF\n8PXXXwMAa8ITzYAQArdu3cKXX36Z/K7NGwPxREQ0kbt37ybZGt/73veSY0REREREtBw4p18sDMIT\nzcai/W4JKeW8x7DQhBAS6BT6XzRRFOH+/fsol8uZ9uv7PjPoaeEJIWAYRrIXAl0vNUk/PT2d6ziI\niJaZemMgpVysdwhLYJHn6EREy4Jz+vn7yU9+gs8++wwvv/wyXn/99XkPh2jlTPM7Nss5OjPil5ht\n23BdF7quZxo4bzQaDMQvoCAIoOs6NE2b6vwoimDbdvL12dkZisVi5hdyiIiIiIiIiIiIqNtz8x4A\nTUdlwwPoCq5m0e+0gV6ajTAMYVkW8vk8Tk5Opu5jb28PtVoNjuPAcRw0Gg20220Ui8WMR0xERERE\nRERERERpDMQvKdu2cXx8DKCTKe37fib9+r7PwOyCUMF3x3FwdnZ2pb5M00Sj0ei7yFKr1QAArute\nqX8iIiIiIiIiIiIajoH4JRSGIQDAMAxUKhUA2WXFP3r0CJubm5n0RVfjOA5arRZqtRp0XZ+6nyiK\nktfMIMVikXXWiYiIqI8QQhNCOKlbQwgxtKadEEJPta3F7UvXOWYiIiKiVSOEwPr6+sx/Rj6fn/k5\nNx0D8UuoVqslgfdqtQqgkxXved6V+2ZpmtUThiGiKBq6auLjjz++5hERERHRohNC6AAOANhSSiu+\nmQByQojmkPYtAI24rR23rwohKtc7eiIiIiKixcNA/JIJwxBnZ2dJhrSmaZlnxdNqUa+VYrE4sASN\n67p9rx0hRLJLdFoURRBCIJfL9X0vfSU0CAIUi0Wsr693ZeOreve5XC7px7KskeN3XRf5fD7p33Vd\nRFF0+R0nIiKiq2hIKU0pZdc/XSmlDQADMuMbAHwpZe+V/z0ANSGEMbuhEhEREREtPgbil0ytVkvq\neisqKz4Mw4mz4sMwhG3bcF0XlmVB07QkMMtg52rQNC15zViWhWKxmATHi8XilUvf9FKBc5WBv7Gx\nkXwvl8vh/v370HUd5XIZuq7Ddd2BgX2gc3HJsiwEQQDDMKDrOmq1Gpc+ERERzZAQQgMwanLQBJD8\nM46D7AaAo96GUsoAQASgmvEwiYiIiIiWCgPxS6Q3G16ZNivetu0ksF8ud5Ka1Odqo9BRtcVpeVQq\nleQ59n0fuVwO+Xy+67nPgsp4NwwD7XYb5+fnXaWOHMfB+fk5ms0mHMdBs9lErVZDGIao1+tdfQVB\nkBxrNptotVpoNBpot9soFAqZjZmIiIj66AA0IcSwf7i3e77eiT8OmziGAPjPm4iIiIhuNAbil4gK\nnA8yaVZ8Pp9HFEVwHCc5dnZ2lnyu6zoKhQJM07ziqGcjiiJ4ngfXdVGv18fO3p/2PMV13aRsyzS3\nYrE4zd3NhOM4XQHsIAiwv7+f6cqHKIpgGAZardbALPtBQX917OioO4luf38fQOfiUG/gnWWYrs8H\nP43wh4ePsOO813XD7/wx8Dt/3Hd8x3kPf3j4CB/8lCtqiIiWmAqoN4dszloGkJ6Uqn/Uw/74h+gE\n9lmehoiIiIhuLAbil4TKTB9WQmSSrHhVmiQdhI+iqK/vfD6PIAgWskRNGIY4OjqCbduwbbvrIsIs\nzlPK5TKklFPfms2+vc2uRRiGyOVy0HUdzWYzea49z8Mbb7yR6cqHYReLxhljmiptk2XGPk3uT48/\nwvHf/SPef3zWdcMv/xrwy7/Wd/z9x2c4/rt/xJ8efzTvoRMR0ZTiuvBqQukIIZrxZqyIN2q1pZTp\nf9xqEnnZxCq7WnhEREREPYIggGmaWF9fT/akS8e06vU6hBB9K/LT1tfXsb6+PlG/SnrvvHq9nuyP\nl8/nJy4lPY7r2odvmnOmecyG7TeY/vnqftq2vZRVPG7NewA0nlHZ8Eq1WkW9Xk+y4kulUl8b3/fh\n+35XEF4d783WbrfbADq/2IaxWAlMhmGg0WjAtu2Rf0CzOm+ZRVGEfD6ParWaXKxpt9vJYxBFESzL\nyuwiwWVlYzzPw9HREXzfH/mHO4oiaJrWVdqGrt/Pnz4DALzy4i1897VXk+Pvv/9XAIC33/5eV/sP\n/+ETfPr5s+Q8IiJaTlLKuhAih072ewFAWwgRANiL676nXfbPWgXoN0a2IiIiooF++Gc/xod//8m8\nh5GZ7/7Kq/jB776ZaZ+e5yVVHUqlEqIoguu68H0frVYLmqahVCrBtm0cHR0l8ZE0FadIf2+cftOi\nKEKxWMTJyUkSH1FB6VarlWl8LZfLQdM0bG5uolAoIAzDZGwqppeWjoWl9+EbFW+c5pxJHzMAyd6V\nQCfZWO03aFkWXNeFYRhJoubJyUlyoWPZkjcZiF8Cl2XDKyorvl6vw7btgYH4RqMBALh3717XcVWz\ne5qfO0+3b/eWKJ3tecvItm3out73T6ZWq2FnZwfvvPMOfN9HGIZXfq5HBc2jKIJpmvB9P/kDevv2\nbei6vrAlkOjCd197FUfWbydf393/fQDA0f/977ra7TjvdTLmiYho6UkprTgTXl1lNwBUhRB7cdZ8\nb/vMllEKIWRWfRERES27D//+E77PGkHFG3qrAARBgHw+D9u24TgOdF2HYRgIgmBgDETFxXZ2dibq\nNy0MQ2iahvPz8+SYCiY7jtPX/iocx+kLRKuYYL1e74oD9e7Dl06iVOPrNc050z5mar/BRqPR9byo\nIHyr1eob2yLHK4dhIH4JjJMNr6Sz4l3X7fuFVMH13oBpb4kWVUu9UCgwI3nJ+b4/tFyRYRg4Pj5O\nyhDN8o/Y3t4efN9Ho9EYeJGol6ZpiKIoyYyn5XV4eIjDw8OuY7u7u9jd3Z3LeIiI6HJxAL4JwAdQ\nBOCgU1qmBKAghMj3lKchIiKiGfnur7x6eaMlkvX92dvbA4Ak2K4YhpEkrKrgr2VZsCwLnuf1JSx6\nnpcE6yftN603hqeC1icnJxnc2wvD9uEblPV/2T58g4Lq05wzzWOW3m+w9ziAJDs+bdEqd4yLgfgF\nN2lWejorvlar9f1SDir1Mag+vArcZnmlbhWkl8pMo1AozKVO/KA/WophGNA0bazX2FX+aQRBZxV7\nbxB+WHmazc1N+L6P+/fv972OF3HfAhru9PQUDx8+7Dq2vb09n8EQEdGlhBAagBaAfSmlquWXE0LU\nAFTQKUXjoBOgBzqbtI66aq4mImOn8kkpxSVjZMY8ERHdGFmXcVk1vu8ncY3eeMFbb70FAEkG/L17\n92BZFhzH6StBA6Ar5jNJv2m9QWv1/euMZWSxD9+050zzmA1KQFb9+L4P0zRhWdal5ZAXHTdrXXCT\nZMMr1WoVAJKs+LSdnZ0ky1jprQ/v+z5c1+1aQtJLbZRw0yzyZq1hGA7crOKy4L96LaSvJg7LQJ92\nI9Z0n+oPuaKusA77WbZtJ0F8RV1hpeVw9+5drK2tYW1tDVtbW9ja2sLdu3fnPSwiIhquBiBMBeEB\nAFJKG0AencB7QW3gqsQB/FF4JZ2IiIgyp+JcuVwu2WxV3VQp3HSFCFVPPR0/UYmo6eTBSfqdF1WP\nfX19HUKIvo1mlWn24Zv2nGkes2EBdlVi2/M8FItFCCFQLBb74kTLghnxCywIAnie1xe4nIRt211X\nrkqlEkqlEkzTTIKz6frwqmbVsA0kTNPExsYGwjCc+kpeGIZJkFWVH8nn8yOvsEVRBNu2u3751ZW0\nUaY9b9Gox3rUY25ZVlLrXf2hAjoB7TfeeAOmaQ78w7a3t9fVHrjIRs/n89jZ2cHHH38Mz/OuVCKm\nWq3CNE0Ui0WUSiVsbGwk4x1E1ZFXF31UmSTf95eyDthNtru7i3fffRcA8ODBg7mOhYiIxlJAJxjf\nR0oZCCHeQSdj3gAQAjiJz9nA4GC7+sed7XpsIiIiophhGCOTBzc3N5PPVfzEcZzkHLWfXW+8YZJ+\nr9Mi78M36WM2KtZkGAbOz8+ThGHf95N4VW/d+qVwlezem3ADIDsP0/UrlUpS/fyr3BzH6eu70WjI\nUqkkK5WK1HVdVioVWSqVBrYdpFwuS13XJ75PjuNIwzDk+fl5X3+FQqHvuBqrpmmy0Wj09aXrugQg\n2+12ZuctilqtJguFQjJWddN1XRYKBdlsNrvaO44z8P5KKWW73ZaGYchyuSybzaZstVrScZyB/aTb\np3+eem2oY70ASE3TLr1PmqYlfZTLZdlqtaSmaUPPrdVqUtd1qWmaNAxDNhoN2W63JQBpGMbIn0dX\nd+8//0/5uv3/ynv/+X92HX/99dfl66+/Plb7H/3oR3JtbU2ura3Jra0tubW1JX/0ox/NeORERIsv\nNc+c+5w3fQPQBlC6pM05ACP+vBLfl8KI/loZj3Fuc3QiolUxbE5P1+f09FR++OGH8vT0dN5DWWq6\nrk8co0rHNhzHGRg/m7TfYfOT8/PzobGUcfvtjZmomOGgGNCg9ioWMyjuNizGMs050zxml8WSeqnn\na5yY0DS/Y7Oco899or/ot1Wf5LfbbVmpVCY+b5pAfKvVkgAGBn6l7PyylkqlvvEBGDpG9YenN6A+\n7XmrTgXga7Xa0OeBKC2LQPwPfvCDvguEP/jBD2Y8ciKixbfAgXgHgDPi+xqA856vJYDakLYSQCXj\nMa70HJ2I6DowED9/DMRno1wuj4w3DZKOCxUKhYEB50n7vc5AvEraHPazetur+zgoAVfF63oD29Oc\nM81jNmkgXko5MqEzbdEC8awRf8MFQdBVH36WTNNManENUiqV4HleV50ntUnGsA1Sh5Uomfa8VaeW\nK1UqleVbvkNLK10PnjXiiYiWgg3gnhBi2GThAECy5llKGcXnDKozWMWAevNEREREWanVatA0DaZp\n9tUOj6IIlmX1lfpV8SLP83BycpKUw71qv9flOvbhm/acrB6zYe1Vuex5lQW6Cgbib7jrqqcURdHA\nXZHTcrkcgO4/IurzSQPn055HRNnb3d3FN77xDXzjG9/AgwcP8ODBA+zu7s57WERENEQcWM8DqAkh\nHCFEQQhhCCHKQogmOtnyfs85dQCuEKIVt9WEEBUAJQDXk/WxJNRmY0RERJQNTdOSve/y+Tzy+TxM\n00Q+n8f6+jpc1+07RwXe9/f3k4BvFv1el2q1CgAoFoswTROWZSGXy6FeH5z7oBIz1T6N6rxhm7tO\ne06Wj1kYhnBdF+vr60k/xWIxiR/atj12X4uCgXi6FuPsIr2xsQEAePToEYCLjUkn3SB02vOIaDyH\nh4d48uQJnjx5gu3tbWxvb+Pw8HDewyIiogxJKUMpZR6dMjU6OpuxhlLKYm8QPnWOjU6m/CY62fGB\nlDInpbx8InhDeJ6H/f19GIbBYDwREVGGCoUCHj9+nASOPc8DAFQqFZyfnw+MEam2QKdKQ1b9XodS\nqZRkn3ueB9/3USgU0Gq1ho5JbU6r6zpOTk4QhiEODg6SwHlW52T1mBmGgVarhXK5s+gyfT+XcqNW\nALfmPQCar3w+fy0/R2Wmj1p+cnZ21tVW/WJOusxn2vOIaDynp6d4+vQpAODhw4cAgO3t7TmOiIiI\nZkVKGQBr/DIsAAAgAElEQVQILm140T4EML/0sAXmeR4cx0Gr1Uq+Nk1z5BtZIiIiGp+maXAcZ+z2\ntVotKb+SRb+d8uKDzx/2vXEMO7dSqaBSqfQdPz8/H9rXsHNGjW+ac676mCmGYUz0nC46BuJvOHVV\nadY0TYOmaSMz49WbknR2UKFQgO/7l5a16TXteUR0ubt372Jra6vvGBEREQ0XhiGazWbydalUgqZp\nCIIAhmHMcWREREREdB1YmoauzcHBAYD+jSQUtbwkvbREXZlUy1gGnTPItOcR0eV2d3eTWu+s+U5E\nRDSeQZlkhUKBQXgiIiKiG4KBeJqaKiUzSC6X66t7WSqVUKlUYFlWX2a8aZpdGzooagmKbdt9wfP0\npgye53WVopn2PCK6mtzjD/FfvB/i+3/yR8D2dnI7/uorHH/1Vdex5Pa7vwv89V/PcdRERERERERE\nRLPF0jQ0ERVEV8HtYrEITdOSjRsUtYlDr1qthp2dna5geBRFKBaLQ+tjlstlbG5uYn9/v6uN2tE6\nDEM4joOjoyMcHx8nNeKnPY+Ipvd7f/4j5NudDZfx0cXxpJBNXFN+oD/7s1kNi4iI6NpEUYT79+9n\nXgJSrR4luimEEMlGfURERKtAXGWzgJtACCGByzcPoH6u6+LevXsMcBMtsR3nPbz/+Axvv7GBI+u3\nL23/418z8OZHf4N/fumb+KXfutgMWm3q2ltbHh98APzTPwFbW8CDB1kOnYho4QkhAABSSjHnoSyd\nRZ6jW5YF13XRbDYzDZxblrVSm5URkM/ncXBwkFl5oiAIsL+/n3wdhiEsy7q2fcGyxkD87Kl9nk5P\nT+c6jpvsJz/5CT777DO8/PLLeP311+c9HKKVM83v2Czn6MyIp5lpt9sMwhPdUKff/g7eTAXW37nV\n+XfzrDfYvr09OkueiIhoiahseKBTDjGrAGIURZxXr6AgCJDPXyQuDHqONzY20G63L+3LdV20Wq2u\nlcC+76NYLMJxHAaziYiIFgAD8TQTrLtOdLN99sUz7DjvJV//bzv/FwB0HQOA7//9J3gTwM+fPsM3\nr3OAREREM2DbNo6Pj5HP5xEEQWblZFRAlVZH755ZwOD3UNVqdaz+bNvuK/WpNgMOggCu6y5tZjwR\nEdGq4GatNBOu66JWq817GER0zb7xXGfl1ldfS7z/+Cy5rf3qb2DtV3+j69j7j8/w6edfAgD+1/kv\n5jlsIiKiK1OBVcMwUKlUAKBrX6SrePToETY3NzPpixZDEASoVCo4Pz+HlLLv1m63USgUktfSZX2p\nfbd6A/xqH69mszmT+0FERETjYyCeZmKcCSMRrZ5vr78EAHjlxefx9hsbye3pT/8WT3/6t13H3n5j\noytwT0REtMxqtVoSeFdZzEEQwPO8K/fN0jSrJwxD7OzsDH1eLcvqy3AfxjCM5KYC772GHSciIqLr\nw9I0RESUmW+udf6tvPkrr3Zt7nrrj/4VAODovz3rav/jP+G/ISIiWn5hGOLs7CwJdmqahkqlgnq9\nDtu2USqV5jxCWjSqbMwgtm3DsqyJLr4MqwHv+z6ATmA/LbURXdfxKIqwvr4OXdf7atOnN08NggC2\nbePk5AStVit57YdhiFqtBt/3EYYhdF1HoVAYudGw67pwHAdBEMAwDFiWhXv37o193+lyH/w0wp8e\nf4SfP+2ei+N3/hhAf/lIoDOv/z/f+Q5+81d5EZCIKCuMgBAREREREV1BrVbrK8tYrVZRr9cRhiE8\nz5soGB+GIRzHQS6XQ6vVgqZpcF0X7XYb1WqV2fErYFgQ3vd9RFGUycUbVbKmVqtlmhHvum4S2Nc0\nDRsbG8n3crkcNE3D5uYmCoUCwjCE67rwfX/gprO2baNerwNAktE/6PeJruZPjz/C8d/9Y/83fvnX\nAADvPz4beu5/3X1rVsMiIrpxGIgnIqKFcnh4iMPDw65ju7u72N3dnct4iIiIRunNhlemzYq3bRtR\nFCUZxJZlJUHJMAyRz+fRbDZZamRFqQ1/ryqKIuzv76PRaGS6IiMMQ1iWBcMw0Gg0+l6HjuP0bQqr\nfgfq9XpXCdMgCJIgfLPZ7NrY2LIsuK6b2bhvOpUJ/8qLt/Dd115Njr///l8BAN5++3td7T/8h0/w\n6efP+jPoiYjoSlgjnoiIFsrp6SkePnzYdTs9PZ33sIiIiAaybXto9q6qFa+y4i+Tz+e7gvAAcHZ2\nkamqynyYpnnFUc9GFEXwPA+u66JeryOKopmep7iuCyHE1LdisTjN3c1cvV5HoVC40ooH13Vhmibe\neOMN+L6PR48eTfx4jhJFUVKeZtDFoN4gfPrY0dFR1/H9/X0AnRUl6SA8kN1Gx9Ttu691ykeqG/7y\nPwF/+Z+6jh1Zv90VrCciouwwEE9ERAvl7t27WFtbw9raGra2trC1tYW7d+/Oe1hERER9wjAEMHwj\nTJUVD1weWCwWi0lJGiWKor6+8/l8UnJk0YRhiKOjI9i2Ddu2uy4izOI8pVwuQ0o59a3ZbE5zdzMV\nRRFs28bOzs6V+imXy2g0Gjg/P0etVkO9Xkc+n09eq1mYtmxM7xhU/fpBwXsiIqJVxEA8ERFN5PDw\nENvb21233lIyve2/+uorfPXVV2O1393dxZ07d3Dnzh08ePAADx48YFkaIiJaSKOy4ZVxsuJ934fv\n+319+b7fl62t6mxnGVjNiipXMmlgddrz5qFYLGJ9fX2q26iLJ/fv3wcwvHb8NMrlMkqlUlJOJiu9\n2eu9PM+DaZpYX1+HEALr6+sD20VRBE3TuOcBERHdGKwRT0REE1GlY9K2t7dHtlfUeaPaExERLYPL\nsuGVcWrFNxoNAMC9e/e6jjebza4M+Ul+7jzdvn37Ws+7TrPKnnccZyYB6Z2dHXieB9/3EYbhlV83\no8YYRRFM04Tv+zAMA+VyGbdv34au6wtbTomIiOg6MSOeiIgmMmnpGJaaISKiVTRONrySzooftAGl\nCq73Bjl7S7SoWupXrSNOiyWKIgRBgI2NjanO930flmUhCIK+76UD74O+n6W9vT34vo9Go4FWq4Va\nrYZKpTJ0s1hN0xBF0UKWWSIiAgAhBPL5/MzPUecNW0GUleu8PzQYA/FERDQRlo4hIqKbbtKs9HSt\n+EHB+0HlOQbVh1d15nuz5G+6Zd+sVdVKn/biimmacF134D4E6Ys545S9OTk5mWoMwEWgvzfwPizQ\nvrm5CeCiLM845xARES0zBuJXmOd5c59UEhGdnp7i6dOnePr0KR4+fIiHDx92lashIiJaNpNkwyuj\nsuJ3dnb6MoN768P7vg/XddFsNodeAHBd90ZmrS37Zq3qws5lGfFhGMK27b79ATY3N6Fp2sD3fumL\nRunXzbCg/7Qbsab7VBcWlP39/ZE/y7btvmz9vb29qcdBRES0qFgjfkV5nof9/X0UCgUUi8W5Ty6J\n6Oa6e/cutra2+o4Nc3h4iCdPngC4qCW/u7vLrHsiIloIQRAkNbenZdt218akpVIJpVIJpmkm8/Z0\nfXjXdeE4Dlqt1sCsZtM0sbGxgTAMp84kDsMwCYyqkiH5fH7kBqpRFMG27a6g7ltvvXXpz5r2vFWl\nNuC9LCPesqyk1rvaVwDovJ4cx0lWXaSp5zTdHugE733fRz6fx87ODj7++GN4nnelkkfVahWmaaJY\nLKJUKmFjYyMZ7yCqjry6gKRKLvm+v9B7IBAREU2LgfgV5HleMlFXX5um2Tf5IiICOoHvw8PDrmNZ\nBr4n7Utl0APc3JWIiBaPyu69SumMKIrgum5XkLvRaCTzdl3X4ft+kv1cLBaTuf0gap5vWdbQoOco\nKtB/fHzcFYi1LAvFYhGNRqMvQOt5Hvb29nBwcNBVikT1Ncy0560y9dhelhFvmiZOTk6ws7PTdbxQ\nKCCKIhSLRRSLxeRijQrCN5vNvgs4juPANE0EQZCUQVIXiIQQU92PUqmEWq2G/f19eJ4HXddRKBRg\nWRbeeeedgec4joNcLgfHcXBycgJd13FwcADDMJDL5aYaBxER0aJiIH4FhWHYlQFfKpWgaRqCIBir\nLiAR3Synp6dJwFuZZ+A7nS2vMum5uSsRES2KWSa3qMx4FUy/SpmQcQVBAMuy0Gw2+4LtKki6t7fX\ndb/DMIRpmgM34iyXy2g2mwMvCEx73qqrVqvI5XK4d+/eyHblcnnoCgX12klnoNdqtaHv/3RdH3px\nR0o50fG0SqUyMDP//Px84nPG+XlERETLhDXiV9CgSUyhUGAQnogGunv3LtbW1rC2toatrS1sbW1d\ne+D7sy+eYcd5DzvOe/iLp7+OO3+wjzt/sI9/8fud2188/fXk+394+Agf/JQbeBER0eoKguDa9noy\nTROapqFQKAz8fqlUgud5XTW8Lcvq+thrWFmRac9bdZqmoVwuX6ksjFIoFJKAPd//EdFNE4YhLMtC\nLpfD+vo6isUiPM+79DxVIksIgXw+D9d1L135Ns0500jfJyEEcrnc0P+jVxnbNOcEQQDTNLG+vp6M\na9A5qk91TrFYxPr6etfF9/TPV/dz0L4oy44Z8UREN9zu7i7effddAMCDBw+u9Wd/47nO0uevvpZ4\n//FZcnztV38DALqO9fqvuze3liwREa22dH34WYqiCGEYjgzYqvIgvu8n7VR9/EkD59OeR0R04/3b\nfwt88MG8R5Gd3/xN4D/+x0y79H0fpmkiiqIkGdX3ffi+j1KpNHRFm23bqNfrADp7V+i6jlqtNnJV\n2jTnTCuXy0HTNGxubqJQKCSbvvu+n+wxMo/7o8rpAZ2L9qrsnu/7aLVaAy8uu66bXETQNC0pyWZZ\nFlzXTfYOAYCTkxPU63XkcrmR+9UsGwbil1gURbh//37mL0jf94dmxBAtCyEEDMMYWU+V5u/b6y8B\nAF558Xm8/cZFXdT/8T86pXL+9b/u3uT1w3/4BJ9+/gw/f/rs+gZJRES0osbJMlNvkh89egTgojb+\npNnb055HREToBOF7yonSBbVPhiq7lb7gq4K89Xq9r4JEEARJALrZbHbFwtR5vaY55yocx+mL+9Xr\n9SR4nr5P13V/oihK9rRpNpvJ4x0EAfL5fLKJeJrK7DcMA41Go+s5UkH43vhNEAQrd/GegfglZts2\nXNdNNsHJSqPRYCB+ydTr9a66nsViceoLNFn2Rcsv9/hD7HkOXnvuGfD/vJoc/+9PnnQ+6a0lP2GW\nxjfXOv+G3vyVV3Fk/XZy/NYf/SsAwNF/6w647zjvjcySJyIiWgVq+fasqTe3o5aen52ddbVVc8RJ\nl99Pex4REaGTQb5KMr4/e3t7ADpB697AreM4yQbovWXA1AbstVqtLw6mYm69pjnnKgbFY8rlMmzb\nxtHRUVcg/rruz7DH2zAMVCoV1Ov1vkB8FEUDg+1qXjBow/JVLLHGQPySUtnwQOcXI6us3yiKmKWy\nRMIwRLFYRKlU6tqg17ZteJ7XtwnWdfVFq+P3/vxHyLc7GXD46OL499Qnw7IyXnlllsMiIiJaadeV\nBKFpGjRNG5kZr95npGvWFwqFZFPQSTLVpj2PiOjGy7iMy6rxPG/kfieWZcG27aRMjaJKpk3yf3ea\nc2al9//3dd0f3/ehaRp0Xe+7wP7WW28lY+v9Xz+o1I3qR5UWsixrpZODuVnrkrJtG8fHxwA6SzXU\nL85V+b5/bRtD0dVEUYR8Po9SqdT1x8z3fdTrdRwdHc2lL1otL37+GQDgn1/6JrC1ldz+am0Nf7W2\n1nUsuf2bfwN8//tzHjkRERGN4+DgAACGvp9QZSvTb4rVfHHYBnjD+pr2PCIiomFUMHpzc3NoGxUQ\nVmXWFJWMOklC6jTnXJWqx76+vg4hBNbX1zMb27TnRFGUbIqbvqm68YMu8g8LsKv6/Z7noVgsQgiB\nYrHYtVH8qmBG/BJSL+b0ko+ssuIfPXqEarV65X5o9vb29hBFUd/zNWpZz3X0Rcvn8PAQT+JSM9tx\nqZnd3V3s7u4mbU6//R28mdrI9X+/e7dz/Jo3dyUiIqLRVCmZQXK5XFLPVSmVSqhUKrAsq6vOKwCY\npglN0/o2uDMMA47jJLVe02+sbdtOPvc8r6sMwLTnERERXWbU/z9l2cqjqVrsasP0crmM27dvQ9f1\nJOA9L4ZhjNzMtffCyKj/6YZh4Pz8HK7rotlsJpvs5vP5vrr1y46B+CVUq9WSiWq1WkW9XkcQBJmU\nD2FpmuUQRRE8z0OhUOh7vkqlEtrt9tjLfbPsi5bT6ekpnj59CgB4GJea2e6t/U5EREQLy7IshGGY\nZJQXi0VomoZardY1j9N1HScnJ33n12o17OzsdAXD1cZ3vUF4pVwuY3NzE/v7+11tLMsC0EkechwH\nR0dHOD4+TuaZ055HREQ0iPo/N6rMmsqE792DRdO0JLt73P8305wzrb29Pfi+j0ajMVa877rujypJ\nk2WAXNM0VCqVpOa967pJSaGsynEvAgbil0wYhjg7O+vaLCmdFc863jeD2ixjWBmhSQLn0/QlhAAA\nSCm7jkdRhPX1dei6jna73XeO2pgjCALYto2Tk5OuHc3DMEStVuuqHVooFPo2+egdv+M4CIIAhmHA\nsizcu3dv7PtPwN04ux0Atra2+o5diw8+6Nr49firrzqf9FwQ+P7ff4J/+PoW/rJkAfhtEBEREUbO\nldKazSZc1x34ZtswjKFB92GGnXNZlty05xEREQ2i9iAZlqCq4h69gePNzU34vo/79+/31Ugflj0/\nzTnTUqVZeu9TlmOb5pxCoQDXdZPydbOgNqQddYFlGbFG/JKp1Wp9k1NVTiQMw6H1FocJwzDZBdmy\nLGiaBtd1Ydv20i3ZuUnUcuLeDS0sy5p4h+4s+xqH67rI5/NJxla67E0ul8P9+/eh6zrK5TJ0XYfr\nusjlcgP7sm0blmUlQXhd11Gr1fquctOFD34a4Q8PH2HHeS+5/cXTX8edP9jHnT/Yx7/4/c7tL57+\nOnac9/DZF89mOyC1qes//VNn49f4tgVgC+g6hocP8eZHf4NC+xF+789/NNtxERERrah2u80scyIi\nWinqgvTe3l5fXXHTNBFFESqVytDNQ23b7jtvb29v4M+a5pxpqf/XvXuo7O/vZza2ac/RNA2mafad\nE0URLMsaO6Y4rH0YhoiiaGTt/2XEjPgl0psNr0ybFa+C7eoPlmVZyS9gGIZJLSaWJVk86org2dkZ\nwjDsyihSz9u4GU1Z9jXOz1I1QRuNRt9ry3Gcviuw6nVdr9eTJUpA58pwvV4HgL6aYbO6iLAK/vT4\nIxz/3T/2HV/71d8AALz/uLuu3ldfd1Y9fOM5MZsB/ft/3/n46addh1WJHJWhr/zzX7fwS7/4ebKJ\nLBEREY2PiTZERLSKdF1Ho9GAaZrI5/MwDAMbGxs4OTlJSqgMWnGl6q6rhEFVstf3/aGxsGnOmVa1\nWoVpmigWiyiVStjY2EgqCGQ1tmnOUfvHpB9vXdcRhmESmB93hVsYhnBdF67rJv1EUZRcfEiXzVsF\nzIhfIrZtD30hT5oVn8/nu4LwQPfGFqokyLw3f1gmrutCCDH1bVhpmEHUc+U4TldwGgAODg7ged7Y\ngegs+7pMFEVJeZpBf9B7g/DpY0dHR13H1RXgWq3WtxRq1f5QZ+nnTzsZ7q+8eAtvv7GR3J7+9G/x\n9Kd/23Xs7Tc28MqLzwMAvr3+0mwG9Fu/BfzZnwEPHiS3w91dbANdt8PdXeDBA5x++zuzGQcREdEN\n4LouS78QEdFKUnvclUolRFGEk5MTbG5uwnGcrk3KezmOk+ypcnJygjAMcXBwMDIhcZpzpr1PKvvc\n87ykFEyr1Rq6uu267k+hUMDjx49RLpeTvQcBoFKp4Pz8fOzVdypGpGI/6fu5ahu1AoDorfFM3YQQ\nEuivhX3dVAmZUb8EKmt4UH3utGKxiJOTE5yfnyfHoijC/v5+18RclauZ5BeIrsf6+nqytGrQmykh\nBDRN63qOs+xr2hrxQH/2+mVUn71jUOMe9PoMwxC5XC75g04Xdpz38P7jM7z9xgaOrIsa67dudRZI\nPXvWU4pme7tTFmZrqxMoj6ka8qenp5mP8d1338UPf/jDrmM/+MEP8O677+LHv2bgzY/+Bj/+zr/E\nm/9fMKQHIqLlkPp/OqNlR6trUeboRETLYNh7gGFz+mHtKXs/+clP8Nlnn+Hll1/G66+/Pu/hEK2c\naX7HZjlHZ0b8khiVDa+MkxXv+z583+/ry/f9voxsFUhdtY0RVoGqqz6sdrra9Xqc5y7LvsZxWRDe\n8zyYpon19XUIIbC+vj6wndpkjBeJVs/du3extraGtbU1bG1tYWtr6/o3jyUiIiIiIiIiyhAD8UtA\nBUAvqzWlasUDw0tzqIz6e/fudR0flKU86ueq2lE0Hyr4nN7oNE0d7900Y9Z9jfuzBomiCMViEaZp\nIgxDlMtl1Gq1zJd20dUdHh7iyZMnePLkCba3t7G9vY3Dw8PM+t/d3cWdO3dw584dPHjwAA8ePMDu\n7m5m/RMRERERERERXTdu1roExsmGV6rVKur1erLZQW/NbRVc7w2IpuvDA0jqO6lNGhTTNLGxsZHs\nXjwNz/NwdHSUBPjDMES1WoVhGAAualemx1qtVpOLDCpjWkmXVLms7zAMkx2zz87Okg1DVa18db8c\nx1noTWo3NzcRBEHf86ao4+Pchyz7uoq9vT34vo9GozHWhsMqU19lxtP1OT09xdOnTwFcbKq6vb09\nxxERERERERERES02BuIX3LjZ8IrKiq/X66jVan2B+EGlPKIo6utfZdSnN3MFLjLqLcuaqlSJZVnw\nfb+rfngQBMjn80kAtlwuo1wuwzRNeJ6HRqPRla1fKpXQaDRg23bXBhXj9K120nYcJ7lg0Ww2uy50\nFItFFIvFkXX2B1E19aelNqIYR7FYhOu6l45RXYC4rr5OTk4ubTOMyrjvDcIPu+CzubkJ3/dx//79\nvtf5tBeJaDx3797F1tZW3zEiIiIiIpqPw8PDvlWqu7u7XFlKRLRAZlaaRghREUI0hRCN+FYe0k4X\nQjjxrRa3HZoOO2n7ZTdJNrySrhXvum7X93Z2dpIsYqW3Przv+3BdF81mM9MsaM/z4LpuX6kRwzBQ\nKpWwt7c38H4MKk1ydnaW7Bw9ad+6rif3V+0MnaZKo/i+P9H9K5fLkFJOfRs3CA90gtWapg0sF6Oy\n+nsD2mrD394LKNP0NSwDfdLX6qA+ex/3/f39kT/Ltu2+sfe+luhC7vGH+C/eD/H9P/mjzkas8e34\nq69w/NVXXcewvQ188EFfH7u7u0nJGJaOISIiIiKav9PTUzx8+LDr1rsJKxERzVfmGfFCCB1AE4An\npSymjteEECUppdfTtgXAlFL6qeMtIYQupawP6Hvs9ssuCAJ4njdxQDjNtu2ubOFSqYRSqQTTNJPA\nb7PZTDLfXdeF4zhotVpjZUBPQgVHB/VbLBbheR6CIEi+bxgGDMNIxpTWbDa7gu6T9q0MutCgaqIv\nelb1wcEBTNPsu1/qsTo4OOhqr1YMhGHYd8Fi0r5UNno+n8fOzg4+/vhjeJ53pRIx1WoVpmmiWCyi\nVCphY2MjGe8ghmGgXC4n+xWoMkq+7y90WaF5+70//xHy7UedLz66OJ7kt8elZvq88sosh0VERHRj\neJ4Hx3EmSsIgIrrM3bt3sba2BgD43ve+lxwjIqLFkWkgXgihoRMod6WUdup4AUAFgBfflAYAPx1U\nj+0BaAkhfCllcIX2S01lAl8lIBxFUV+t+EajkdRZ13Udvu8nmdLFYhGtVuvKYx80DlXLu17vv17S\nbrf7NosFOsFjy7K67kMYhl2B1mn7BoC33npr2rs0d6VSCbVaDe+88w5qtRp0XUez2YTneWi3231B\ncdM0cXJygp2dnSv35ThOErhXpY3URR8hxJXuz/7+PjzPg67rKBQKsCwL77zzzsBzHMdBLpeD4zg4\nOTmBrus4ODiAYRjI5XJTjWPVvfj5ZwCAf37pm/il37rYcFnVeu8tOQOgE4T//vevZXzAxWawwEXt\neS6rJSKiVeB5Hvb391EoFFAsFhmMJ6LM7O7u4t133wUAPHjwYK5jISKiwbLOiD8AoAHorSWhonjJ\nbpBCCAOAMaAtpJSBECICUAVgTtN+FQwqyZIVlRmvso2vUlJkHOla92rT1XGUy2VYltVV775Wq3WN\nd9q+V0GlUkG5XE4yx3d2doY+l6r2fhZ96bo+9IKNlHKi471jGPQcnp+fT3zOOD/vJjv99nfwZjxB\nPzw8xP+hAvHx9+cZ+OZmsEREtIpUJryaQ6nEmFnO+YmIiIhocWQWiI+z4UvoZKx3pXBLKT0hRE5K\nma4xodJyh+34GQJIpzFP2p7GEARBV334WVEZ7NNs8KrKj6iyKWdnZ10Z2lfpexVomtZXw30R+qLl\nka4duQiBb24GS0REqygMw64M+PQ+PVmXhCQiugxXoS4WJpIRzcai/W5lmRGvUm0Hrq/sCcIDF0Hz\nYXVXQgCGEMKIy81M2p7GkK4PP0uapkHXdYRh2FdaRgmCIGmXZtt2Uie+WCzCsqzM+iaixasnyTcA\nRES0igat4BtWPpGIaNa4CnUxPPfccwCAZ8+eQUo5dalXIuonpcSzZ88AXPyuzVuWo1Bp1aEQoiCE\naAghnPg2qB6GioieDfjeoHaTtqcFowL+wwL/tm0nG6Wm6bretWnroDcs0/ZNRJ3A9507d3Dnzh08\nePAADx48YCCciIiIiGiFqVWo6RtXoV6/l156CQDw5ZdfJhdGiCgbT58+xZdffgkAePnll+c8mo4s\nA/EqAL4BwJBSmlJKS0ppAbCEEL3FDzWMpgLuKno6aXsaQz6fv7zREGdnw6+J5HK5vpI3hUIBtVoN\n9Xodnud1fa9er8OyrL5NQZVqtQoAQ8voTNq32gD3448/Hnq/Rt0/IiIiIqJBoiiC67qZ9+v7fuZ9\nEs2CEOJK7zOJbpJXX301+fxnP/sZPv/884UrpUG0bKSU+Pzzz/Gzn/0sOfbKK6/McUQXsixNowLg\nlhSdwNoAACAASURBVJSy97/uHoCWEKIspeyalfbWk7/MpO0vI4S40X/hRm3eOYhlWQjDMHkjUCwW\noWkaarVaV9kXXddxcnLSd36lUkGhUMD+/j6Ojo6SLHXLskbWxiyVStB1/dLNRi/rOwxDmKaZ1JOv\n1+vwfR+1Wg0bGxvY29tDEATJeY7j4ODggHU7iYiIiGgsqqyiruuZlp5pNBosZbMkgiDA/v4+oihK\nSmdaljV0L6ZJ2xNl4fT0NClJo7A0zfV74YUXoGkaoijCF198gcePH+P555/HrVu3WKaGaAqqHI3K\nhAc6Ja1feOGFOY7qQpaBeKUvVUNKGcR/QGoAsk8PoWszbj35ZrMJ13URRVFflrthGGg0ehdIXK7d\nbl/a5rK+dV1Hq9Ua+v1R3yMiIiIiGiWKIty/fx9AJyCf1dxy0JyaFpPneTg6OsLBwUHynNm2DdM0\nUSqV+t6rTNqeKCuLtk/UTXbnzh0AFyv3v/zyy64gIhFNT9O05HdsEWQZiD9Dp3zMsGhpBEATQujx\nxq0RRpebURn2qj7IpO3HIqUceYnxpmfMX0W73eYbBiIiIiK6MWzbxvHxMfL5PIIggO/7mWSx+74/\ntEQjLY4oirC/v993AaZWqyEIAnieh3q9nmzcO2l7oizt7u7i3XffBQA8ePBgrmO56YQQeO2113D7\n9m18+umn+Oyzz/D111/Pe1hES+u5557Dyy+/jFdeeWVhMuGVLAPxqmTMsEC4CtQbAEJ1UAihXVJu\nput7k7an+VBXconoeh0eHuLw8LDr2O7u7sjNVw8PD/HkyRMAF8tRLztnkUxzn4mIiLKmSh8ahoFK\npYJ6vZ5ZVvyjR4+SPZNocbmuC8uyBn7Ptm34vg/HcZLA+qTtiWi1vfDCC7h9+zZu374976EQ0Yxk\nGYg/QSfIPmyzVHVcBeFPABTi44Oitnqq3TTtaY5c10WtVpv3MIhunGlqPZ6enuLp06cAkJy7TPUh\nWd+SiIgWQa1Wg23bAIBqtYp6vZ5kNV+11jdL0yyHR48ewfM8AP17can9tMIwTJ7PSdsTERHRcnsu\nw76a8cfcqEZSyqCnvT6kqQYgSGW/T9qe5ohZG0TzoWo9rq2tYWtrC1tbW5fWerx7927SdtxzFsk0\n95mIiChLYRji7OwsCZ5qmpbMh1Vwnm6OcffVmqa9EGLgBo5RFEEIgVyu/+24EAL5fB5AZ2PYYrGI\n9fX1ZBUH0HkNW5aFXC6X9DMsW19xXRf5fD7pX+0RRkRERINllhEvpfSEEBE6WfFdhBA6OoFyL3XY\nRWfz1iJ6NngVQmjoBNztK7QnIrpxpqn1uOxlXFjfkoiI5q1Wq/WtBlVZ8WEYTpwVH4YhHMdBLpdD\nq9WCpmlwXRftdhvVapXZ0Qvq4OAAuq4PDGAHQScfTdO05PmbtP1VpUvhaJqGjY2Lxey5XA6apmFz\ncxOFQgFhGMJ1Xfi+j3a7fxs427ZRr9cBdMox6bo+8PeAiIiILmSZEQ8AewAKQojeYLyV+j4AIM5c\ntwGU0a8KIJRS1qdtT0RERERENGu92fDKtFnxtm0nAU1VrkR9blkW8vl8VyYzLQ5N01Cr1fpeC8BF\n1ns6UD1p+6tQGe+GYaDdbuP8/LwrwO84Ds7Pz9FsNuE4DprNJmq1GsIwTALuShAEybFms4lWq4VG\no4F2u53J5sRERESrKtNAvJTSQydYfiyEKAshCkKIGoASgFxv2Zg4cO4KIVpCCEMIoQkhKnH74oD+\nJ2pPREREREQ0SypwPojaYFVlxV8mn88jiqKuUiVnZ2fJ57quo1AowDTNK4765nBdNynnMs2tWLz6\n20zf9+H7PgzD6KsFn0X7cURRBMMw0Gq1Bgb+B/0cdezo6Kjr+P7+PoDORYLewDtLMREREQ2XdUa8\nCpa/AeAMnXIxR1LKnJRyYNqGlNIGYALYRCfbPciyPRERERER0SyozPRBgU1gsqz4YrGYlKRRoijq\n6zufzyMIAtbiHlO5XIaUcupbs9m8/IeMEEURTNOErus4Pj7OvP0kps2u712B4fudSrFZXSQgIiK6\nKTIPxAOdMjJSSk9K6aY2Zx3VPozb1qWUftbtiYiIiIiIsjYqG14ZJyteZUD39uX7fl9GtqrXzfI0\ny2Fvbw8bGxtJrf+s20/isrIxnufBNE2sr69DCIH19fWB7aIoyrR2PRER0U0xk0A8ERERERHRKrss\nG14ZJyu+0WgAAO7du9d1vNls9gVPR/1c13WRz+fHGD1dB9u2EYbh2EH1SdtPYlR/URShWCzCNE2E\nYYhyuYxarZa8LomIiCgbt+Y9ACIiIiIiomUzTja8Uq1WUa/XEYYhXNftK+mhguu9wdJ0fXigEzD1\nPA+FQqGrrWma2NjYQBiGU5es8TwPR0dHSYA/DEN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bMwslXB0QXGPI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\nH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5/D+A1ST94df50/f17Szl2RfseCw64HAAAwLQjER0Sv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\nZNpTQ2OxmMLhsDM1FK3HzhbarKZmcamZWtgla4ozqQqFw+GS7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p4Qp07Nix2PpN8dvGoz6TJxlJ0tVrVvu7z0iS+o936crpbknSR6edcpfn3KLT887EHjdz6mj3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\n2JYtrdbBv3K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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9de12913c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=figsize)\n",
    "plt.subplot(221)\n",
    "even_dist = rs.dphi_v_eta_first_hits_in_B1_even_ladder.ProjectionY()\n",
    "odd_dist = rs.dphi_v_eta_first_hits_in_B1_odd_ladder.ProjectionY()\n",
    "plot_histogram(even_dist, label=\"even ladders\", include_errors=True)\n",
    "plot_histogram(odd_dist, label=\"odd ladders\", include_errors=True, color='r')\n",
    "\n",
    "even_mean = even_dist.GetMean()*10**6\n",
    "odd_mean = odd_dist.GetMean()*10**6\n",
    "plt.text(-0.0015, 700, f\"$ \\\\hat{{\\\\Delta\\\\phi  }}_{{1,\\\\textrm{{odd}} }}={odd_mean:4.2g}$urad\")\n",
    "plt.text(-0.0015, 600, f\"$ \\\\hat{{\\\\Delta\\\\phi  }}_{{1,\\\\textrm{{even}} }}={even_mean:4.2g}$urad\")\n",
    "plt.xlabel(r\"$\\Delta \\phi_1$(rad)\")\n",
    "plt.title(\"BPIX - Layer 1\")\n",
    "\n",
    "plt.subplot(222)\n",
    "even_dist = rs.dphi_v_eta_first_hits_in_B2_even_ladder.ProjectionY()\n",
    "odd_dist = rs.dphi_v_eta_first_hits_in_B2_odd_ladder.ProjectionY()\n",
    "plot_histogram(even_dist, label=\"even ladders\", include_errors=True)\n",
    "plot_histogram(odd_dist, label=\"odd ladders\", include_errors=True, color='r')\n",
    "\n",
    "even_mean = even_dist.GetMean()*10**6\n",
    "odd_mean = odd_dist.GetMean()*10**6\n",
    "plt.text(-0.0015, 70, f\"$ \\\\hat{{\\\\Delta\\\\phi  }}_{{1,\\\\textrm{{odd}} }}={odd_mean:4.2g}$urad\")\n",
    "plt.text(-0.0015, 60, f\"$ \\\\hat{{\\\\Delta\\\\phi  }}_{{1,\\\\textrm{{even}} }}={even_mean:4.2g}$urad\")\n",
    "plt.xlabel(r\"$\\Delta \\phi_1$(rad)\")\n",
    "plt.title(\"BPIX - Layer 2\")\n",
    "plt.legend()\n",
    "\n",
    "plt.subplot(223)\n",
    "even_dist = rs.dz_v_eta_first_hits_in_B1_even_ladder.ProjectionY()\n",
    "odd_dist = rs.dz_v_eta_first_hits_in_B1_odd_ladder.ProjectionY()\n",
    "plot_histogram(even_dist, label=\"even ladders\", include_errors=True)\n",
    "plot_histogram(odd_dist, label=\"odd ladders\", include_errors=True, color='r')\n",
    "\n",
    "even_mean = even_dist.GetMean()*10**4\n",
    "odd_mean = odd_dist.GetMean()*10**4\n",
    "plt.text(-0.01, 500, f\"$ \\\\hat{{\\\\Delta\\\\phi  }}_{{1,\\\\textrm{{odd}} }}={odd_mean:4.2g}$um\")\n",
    "plt.text(-0.01, 400, f\"$ \\\\hat{{\\\\Delta\\\\phi  }}_{{1,\\\\textrm{{even}} }}={even_mean:4.2g}$um\")\n",
    "plt.xlabel(r\"$\\Delta z_1$(cm)\")\n",
    "\n",
    "plt.subplot(224)\n",
    "even_dist = rs.dz_v_eta_first_hits_in_B2_even_ladder.ProjectionY()\n",
    "odd_dist = rs.dz_v_eta_first_hits_in_B2_odd_ladder.ProjectionY()\n",
    "plot_histogram(even_dist, label=\"even ladders\", include_errors=True)\n",
    "plot_histogram(odd_dist, label=\"odd ladders\", include_errors=True, color='r')\n",
    "\n",
    "even_mean = even_dist.GetMean()*10**4\n",
    "odd_mean = odd_dist.GetMean()*10**4\n",
    "plt.text(-0.01, 30, f\"$ \\\\hat{{\\\\Delta\\\\phi  }}_{{1,\\\\textrm{{odd}} }}={odd_mean:4.2g}$um\")\n",
    "plt.text(-0.01, 25, f\"$ \\\\hat{{\\\\Delta\\\\phi  }}_{{1,\\\\textrm{{even}} }}={even_mean:4.2g}$um\")\n",
    "plt.xlabel(r\"$\\Delta z_1$(cm)\")\n",
    "plt.tight_layout()\n",
    "plt.savefig(\"figures/delta_phi_z_v_ladder.png\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# def save_fig(fig, name=None, save=True):\n",
    "#     CANVAS.Clear()\n",
    "#     CANVAS.SetCanvasSize(960,720)\n",
    "#     fig.SetStats(1)\n",
    "#     fig.SetLineWidth(3)\n",
    "#     fig.Draw(\"COLZ\")\n",
    "#     if save:\n",
    "#         if name is None:\n",
    "#             name = fig.GetName().split(\":\")[1]\n",
    "#         CANVAS.SaveAs(\"figures/\"+name+\".png\")\n",
    "#     else:\n",
    "#         CANVAS.Draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [],
   "source": [
    "# save_fig(rs.dz_v_eta_first_hits_in_B1.ProjectionY(), \"dz_first_hit_B1\")\n",
    "# save_fig(rs.dphi_v_eta_first_hits_in_B1.ProjectionY(), \"dphi_first_hit_B1\")\n",
    "# save_fig(rs.dphi_v_eta_first_hits_in_B1, \"dphi_vs_eta_first_hit_B1\")\n",
    "# \n",
    "# save_fig(rs.dz_v_eta_first_hits_in_B2.ProjectionY(), \"dz_first_hit_B2\")\n",
    "# save_fig(rs.dphi_v_eta_first_hits_in_B2.ProjectionY(), \"dphi_first_hit_B2\")\n",
    "# save_fig(rs.dphi_v_eta_first_hits_in_B2, \"dphi_vs_eta_first_hit_B2\")\n",
    "# \n",
    "# save_fig(rs.dz_v_eta_first_hits_in_B3.ProjectionY(), \"dz_first_hit_B3\")\n",
    "# save_fig(rs.dphi_v_eta_first_hits_in_B3.ProjectionY(), \"dphi_first_hit_B3\")\n",
    "# save_fig(rs.dphi_v_eta_first_hits_in_B3, \"dphi_vs_eta_first_hit_B3\")\n",
    "# \n",
    "# \n",
    "# save_fig(rs.dz_v_eta_second_hits_in_B2.ProjectionY(), \"dz_second_hit_B2\")\n",
    "# save_fig(rs.dphi_v_eta_second_hits_in_B2.ProjectionY(), \"dphi_second_hit_B2\")\n",
    "# save_fig(rs.dphi_v_eta_second_hits_in_B2, \"dphi_vs_eta_second_hit_B2\")\n",
    "# \n",
    "# save_fig(rs.dz_v_eta_second_hits_in_B3.ProjectionY(), \"dz_second_hit_B3\")\n",
    "# save_fig(rs.dphi_v_eta_second_hits_in_B3.ProjectionY(), \"dphi_second_hit_B3\")\n",
    "# save_fig(rs.dphi_v_eta_second_hits_in_B3, \"dphi_vs_eta_second_hit_B3\")\n",
    "# \n",
    "# save_fig(rs.dz_v_eta_second_hits_in_B4.ProjectionY(), \"dz_second_hit_B4\")\n",
    "# save_fig(rs.dphi_v_eta_second_hits_in_B4.ProjectionY(), \"dphi_second_hit_B4\")\n",
    "# save_fig(rs.dphi_v_eta_second_hits_in_B4, \"dphi_vs_eta_second_hit_B4\")"
   ]
  }
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