{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import numpy.polynomial.polynomial as poly\n",
    "\n",
    "import statistics\n",
    "import warnings\n",
    "import itertools\n",
    "import sqlite3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "db = sqlite3.connect('results.sqlite3')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def fetch_run(names_or_ids):\n",
    "    run_info, grouped, cals = [], {}, {}\n",
    "    for name_or_id in names_or_ids:\n",
    "        if type(name_or_id) is str:\n",
    "            runs = db.execute('SELECT run_id FROM runs WHERE name LIKE ?', (name_or_id,)).fetchall()\n",
    "            if len(runs) > 1:\n",
    "                raise ValueError('Ambiguous run name {} matches run ids {}'.format(run_name, runs))\n",
    "\n",
    "            ((run_id,),), run_name = runs, name_or_id\n",
    "        else:\n",
    "            run_id, (run_name,) = name_or_id, db.execute('SELECT name FROM runs WHERE run_id == ?', (name_or_id,)).fetchone()\n",
    "        run_info.append((run_id, run_name))\n",
    "    \n",
    "        data = db.execute('''\n",
    "            SELECT channel, duty_cycle, voltage, voltage_stdev FROM measurements\n",
    "            WHERE run_id == ?\n",
    "            ORDER BY channel ASC, duty_cycle ASC;\n",
    "            ''', (run_id,)).fetchall()\n",
    "        _ch, cal_duty, *cal = data[0]\n",
    "        assert cal_duty == 0\n",
    "        cals[run_id] = cal\n",
    "        for ch, data in itertools.groupby(data, lambda elem: elem[0]):\n",
    "            if ch == -1: # skip cal data\n",
    "                continue\n",
    "            if ch in grouped:\n",
    "                warnings.warn('Duplicate data: Channel {} found in more than one run!'.format(ch))\n",
    "            grouped[ch] = [(duty, volt, stdev) for _ch, duty, volt, stdev in data]\n",
    "    return run_info, grouped, next(iter(cals.values())) # for now just use some random cal value"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def plot_run(figtitle, *names_or_ids, combine_plots=False):\n",
    "    run_info, data, cal = fetch_run(names_or_ids)\n",
    "    \n",
    "    if combine_plots:\n",
    "        rows, cols = 1, 1\n",
    "    else:\n",
    "        rows = (len(data)+1)//2\n",
    "        cols = 2 if len(data) > 1 else 1\n",
    "    fig, axs = plt.subplots(rows, cols, figsize=(16,5*max(2, rows)), squeeze=False)\n",
    "    fig.suptitle(figtitle)\n",
    "    if combine_plots:\n",
    "        axs = np.array([axs[0,0]] * len(names_or_ids))\n",
    "\n",
    "    cal_volt, cal_stdev = cal\n",
    "    offsets = []\n",
    "    for ch, ax in zip(data, axs.flat):\n",
    "        ch_data = data[ch]\n",
    "        duty, volt, stdev = zip(*ch_data)\n",
    "        \n",
    "        duty = np.array(duty) / duty[0]\n",
    "        volt = np.array(volt) - cal_volt\n",
    "        vref = volt[0]\n",
    "        stdev = np.array(stdev)\n",
    "        \n",
    "        max_y = max(volt)/vref\n",
    "        min_x, max_x = min(duty), max(duty)\n",
    "        \n",
    "        offx, slope = fit_coefs = poly.polyfit(duty, volt, 1)\n",
    "        fit_func = poly.polyval(duty, fit_coefs)\n",
    "        ax.errorbar(duty, volt/vref, yerr=stdev/vref)\n",
    "        ax.plot(duty, fit_func/vref)\n",
    "        \n",
    "        ax.set_xscale('log')\n",
    "        ax.set_yscale('log')\n",
    "        bit_offx = offx/slope\n",
    "        offsets.append(bit_offx)\n",
    "        print('Channel {} offset: {:6.3f}lsb'.format(ch, bit_offx))\n",
    "        ax.set_title('Channel {}, offset={:.3f}lsb'.format(ch, bit_offx))\n",
    "    \n",
    "        # reuse latest duty cycles here\n",
    "        ax.set_xticks(duty)\n",
    "        ax.set_xticklabels([str(i) for i in range(len(duty))])\n",
    "        ax.set_xlabel('bit index')\n",
    "        ax.set_yticks([2**i for i in range(len(duty))])\n",
    "        ax.set_yticklabels([str(2**i) for i in range(len(duty))])\n",
    "\n",
    "        ax.set_xlim([min_x*0.9, max_x*1.1])\n",
    "        ax.set_ylim([0, max_y*1.1])\n",
    "    if len(names_or_ids) > 1:\n",
    "        print('Offset statistics: mean={:.4f}lsb, stdev={:.4f}lsb'.format(\n",
    "            statistics.mean(offsets), statistics.stdev(offsets)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def fetch_runs(*names):\n",
    "    return [run_id for name in names for run_id, in db.execute('''\n",
    "    SELECT DISTINCT runs.run_id\n",
    "    FROM runs JOIN measurements USING (run_id)\n",
    "    WHERE name LIKE ? AND channel != -1\n",
    "    ''', (name,)).fetchall() ]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel 28 offset:  2.643lsb\n",
      "Channel 29 offset:  2.616lsb\n",
      "Channel 30 offset:  2.633lsb\n",
      "Channel 31 offset:  2.681lsb\n",
      "Offset statistics: mean=2.6432lsb, stdev=0.0276lsb\n"
     ]
    },
    {
     "data": {
      "image/png": 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Wvfsr+XKl9zukyybldhAWEQkxkxcu5o6+pbjVHmBrny9UaIqIiPhs+vLF3N6r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\n2RQRERERERGPU7MpIiIiIiIiHvf/AAPBHdD/NXvcAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x72df4ceec940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_run('All channels, blue runs', *fetch_runs('green1', 'green2', 'green3', 'green4'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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SJKl2XHUVLLcc9O0LZ589rQfo2mvD0KHQvj0ssEBs0YFYtqv6yxlRSWVjyJB4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\nc2cixYPLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x72df4c905710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def bitslide(nbits, offx_lsb):\n",
    "    return [ sum((2**n + offx_lsb) if i&(2**n) else 0 for n in range(nbits)) for i in range(2**nbits) ]\n",
    "\n",
    "def plot_bitslide(data):\n",
    "    fig, (axl, axr) = plt.subplots(1, 2, figsize=(16, 6))\n",
    "    axl.plot(data)\n",
    "    axr.plot(data)\n",
    "    axr.set_yscale('log')\n",
    "    axr.set_xscale('log')\n",
    "    axl.set_xlim((0, len(data)))\n",
    "    axr.set_xlim((0, len(data)))\n",
    "\n",
    "plot_bitslide(bitslide(8, 2.5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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k2vz613DvvfDNbw7f5oAD8suj2liISjlwWK4kSVJzXHZZ1iN61FFFJ9FYWIhK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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x72df4cb50dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def cutoff_reference(nbits, offx_lsb, cutoff):\n",
    "    return [ sum((2**n + offx_lsb) if i&(2**n) else 0 for n in range(cutoff, nbits))\n",
    "            for i in range(2**nbits) ]\n",
    "\n",
    "plot_bitslide(cutoff_reference(8, 2.5, 3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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DYcUVYdNNoV27dDTa5puns7ollb76xmaX5krA6aenJbjPPQdt2mRd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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x72df4cb4a748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def improved_bitslide1(nbits, offx_lsb, cutoff):\n",
    "    bs = sorted(bitslide(cutoff, offx_lsb))\n",
    "    return [ sum((2**n + offx_lsb) if i&(2**n) else 0 for n in range(cutoff, nbits))\n",
    "            + bs[i%(2**cutoff)] for i in range(2**nbits) ]\n",
    "\n",
    "plot_bitslide(improved_bitslide1(8, 2.5, 5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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cm6X69dVXqdjs3x822yzrNKoVzohKKqrXXoObboJx49JM6LBhsPjiWaeSJElt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\nRTkQlSRJkiQV5UBUkiRJklTUv2fCWd3jCpNQAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x72df4cd3de80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def improved_bitslide2(nbits, offx_lsb, cutoff):\n",
    "    bs = lambda x: min(bitslide(cutoff, offx_lsb), key=lambda y: abs(x-y))\n",
    "    return [ sum((2**n + offx_lsb) if i&(2**n) else 0 for n in range(cutoff, nbits))\n",
    "            + bs(i%(2**cutoff)) for i in range(2**nbits) ]\n",
    "\n",
    "plot_bitslide(improved_bitslide2(8, 2.5, 5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Channel 23 offset:  0.741lsb\n"
     ]
    },
    {
     "data": {
      "image/png": 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53s6mJEmSVIG8/z5065bpal5723f0//YMBn8xmLsPvJs96+2Z6/JUBfnoE0mS\nJKkCmzULLr0Udt4ZDjggcc79j3LisMasu+q6jO863qCpcsdHn0iSJEnl3GuvQdeu0KgRvDD4a64c\n3Y0P3/6Qp456ih032THX5UkLZdiUJEmSyqmpU+HMM+Gtt+C22xLTNunH/s9eQLftu/HI4Y+wUo2V\ncl2itEiGTUmSJKmcKSqCvn3hoovgxBPhucEfc8brnZgxdQavnfAajddvnOsSpcXynk1JkiSpHBk/\nHnbZBe69F158eR4bHnojezzUiv223I932r9j0FSFYWdTkiRJKgd+/RX+/e9MyLziCtjpoEI6DmjP\nqiusytAOQ9ly7S1zXaK0ROxsSpIkSTk2YAA0bAhffQWjxs5mytb57Nl/dzo068DrJ7xu0FSFZGdT\nkiRJypHJk+G002DcOLj7bqjVYDhtnm5HvbXqMabzGDauuXGuS5SWmp1NSZIkaTmbOxduvhmaNs08\nzmToyF95sehMDnr4IC7e9WKeOfoZg6YqPDubkiRJ0nI0YgR06QI1a8Lbb8PXK73ODvd1pHWd1ozv\nOp51Vl0n1yVKpcKwKUmSJC0H06dnHmXy2GNw3XVw4BE/cc4rZ/PSxy9x5wF3st9W++W6RKlUOYxW\nkiRJKkMpZQJmw4YwaxZMmAC1dniGxr0bsUL1FSjsVmjQVKVkZ1OSJEkqI59+Ct27wxdfwMMPw1ZN\np9LtxR6MnjKahw57iF3r7prrEqUyY2dTkiRJKmWzZ8M118D228Ouu8LIkYlP1+hPkzubsPmamzO2\ny1iDpio9O5uSJElSKXr77cwEQJtumpkMqPraX3DI4134esbXPH/s87TYqEWuS5SWCzubkiRJUin4\n/nvo0AGOOgouvRSeG1DEC9/dQYs+Ldhl010Y0XGEQVNVip1NSZIkaRmkBP37wznnwBFHwMSJ8M2c\n98m7vwNFqYg3T3qTbdfdNtdlSsudYVOSJElaSu+9B127ws8/w4ABsF2zOdzwzg3c8M4NXLrbpXTb\nvhvVwsGEqpr8zZckSZKW0KxZcMklsMsucPDBMGwYVN94NK36tmLQZ4MY0XEEp+xwikFTVZqdTUmS\nJGkJvPpqppvZpAmMGQPrbDCLS964jL6j+nL93tdzwnYnEBG5LlPKOcOmJEmSVAJTp0LPnjB4MNx+\nOxxwALz9xdvsdWcHGq/fmHFdx7HB6hvkukyp3DBsSpIkSX+jqAjuvhsuugjatYMJE6CoxgxOef58\nnnrvKW7sXsdsAAAgAElEQVRrcxuHbntorsuUyh3DpiRJkrQI48ZB584QAa+/Do0bw4sfvUiXAV3Y\nY/M9KOxayFqrrJXrMqVyybApSZIkLeDXXyE/H+6/H668Etq3hx9nfc+JT/fkzc/f5O4D72bvLfbO\ndZlSubZcpsfKz8+noKBgeZxKkiRJWibPPQcNG8I330BhIXTokHhi0mM07t2YtVdem/Fdxxs0JaCg\noID8/PxFro+UUpkWEBGprM8hSZIkLasvv4TTTssEzN69Yc894esZX9P9+e68/9379Gvbj53q7JTr\nMqVyJyJIKf1lCmYf/CNJkqQqbe5cuOkmaNYs8ziTceNgjz0S/Ub1o+mdTWm8XmNGdx5t0JSWkPds\nSpIkqcoaPhy6dIG11so80mTrreGTHz+h06Od+GnWT7x6wqs0Wb9JrsuUKiQ7m5IkSapypk+HU06B\ntm3hjDPg1Vdhy63mcfPQm9nh7h3Yd8t9GdphqEFTWgZ2NiVJklRlpASPPZYJmPvvDxMnwtprw4Rp\nE2j/bHtWrrEyQzsMZcu1t8x1qVKFZ9iUJElSlfDJJ9C9O0yeDI8+CjvvDLPnzeayN67htuG3ccXu\nV9CxRUeqhYP/pNLgf0mSJEmq1GbPhquugh12gLw8GDUqEzRHfDWCFn1aMOLrEYzuPJrOLTsbNKVS\nZGdTkiRJldZbb2UmANpsMxgxAjbfHH6b8xvnv3wJD4x7gJv+eRNHNzqaiL88tUHSMjJsSpIkqdL5\n/ns4+2x4+WW45RY49FCIgEGfDqLjcx1ptUkrxncdz7qrrZvrUqVKy7ApSZKkSiMluP9+OO88OOqo\nzARANWvC9FnTOeeVc3j+o+fpvX9vDqh/QK5LlSo9w6YkSZIqhffeywyZ/eUXGDgQWrTILH/2/Wfp\nNrAbB9Y/kMKuhdRauVZuC5WqCMOmJEmSKrSZMzMTAN15J1xyCXTrBtWrw7Rfp9HjhR6MnDKSBw99\nkN022y3XpUpVitNtSZIkqcJ6+WVo3DjT1RwzBk49FapVSzw47kGa9G7CprU2ZWyXsQZNKQfsbEqS\nJKnC+eYbOOMMGDoUevWC/fbLLP9y+pd0GdiFL6d/yYBjB9Byo5a5LVSqwuxsSpIkqcIoKoLevTPd\nzLp1YcKETNAsSkX0HtGb5n2as9MmO/Fup3cNmlKO2dmUJElShTB2LHTunLkfc9AgaNQos/yD7z+g\nw7MdmFs0lzdOeoMG6zbIbaGSADubkiRJKud++QXOOgv23hs6dIC33soEzblFc7lu8HW07teawxsc\nzlsnv2XQlMoRO5uSJEkqt555Bnr0gN12g8JCWG+9zPIx34yh/bPtqb1KbUZ0HMHma22e20Il/YVh\nU5IkSeXOl19mZpadNAnuvRf22COzfNbcWVz+xuXcPepurtv7Ok7c7kQiIrfFSlooh9FKkiSp3Jg7\nF268EZo1g+bNYdy4P4Lm4C8G0+yuZrz3/XuM7TKWk5qeZNCUyjE7m5IkSSoXhg/PTABUuza88w5s\ntVVm+S+zf+GC1y7g8YmPc1ub2ziswWG5LVRSiSy2sxkRK0XEsIgYHRHjI+LS7PIHIuK9iBgXEX0j\nonrZlytJkqTK5qefoFs3OOigzERAr7zyR9B86aOXaHRHI2bMnkFht0KDplSBLDZsppR+B3ZPKTUD\nmgJtImIH4IGU0jYppSbAqkCHsi1VkiRJlUlK8PDD0KABzJsHEyfCv/4FEfDDzB846emT6DKwC30O\n7MO9B93L2qusneuSJS2BEg2jTSn9ln25UnaflFJ6sdgmw4FNSrk2SZIkVVIff5zpZk6ZAo8/Dq1b\n/7Hu8YmP0+OFHhzR4AjGdx3P6iuunrtCJS21EoXNiKgGjAS2AHqllEYUW1cDOB7oUSYVSpIkqdKY\nPRuuvx5uugnOPRdOPx1WWCGzbsqMKXR/vjuTvpvE40c+Tus6rf/+YJLKtZJ2NouAZhFRE3g6Ihqk\nlCZmV98BvJFSGryo/fPz8//3Oi8vj7y8vKUuWJIkSRXTG29A166wxRYwciTUrZtZnlLivjH3ce6r\n59KpRSceOuwhVq6xcm6LlbRIBQUFFBQULHa7SCkt0YEj4hLgl5TSjdnJgrZLKR36N9unJT2HJEmS\nKo/vvoOzz4ZXX4VbboFDDsnclwnw6Y+f0mlAJ36Y+QP92vaj6QZNc1uspCUWEaSU/vIcopLMRrtO\nRNTKvl4F2At4LyI6APsAx5R2sZIkSar4UoJ774WGDaFWrcwEQIcemgma84rmccvQW9j+7u3Zu97e\nDOswzKApVTIlGUa7IXB/9r7NasAjKaXnI2IO8BkwNCIS8GRK6YqyK1WSJEkVxcSJmSGzv/0GL7wA\nzZsXW/ftRNo/254Vq6/IkPZDqF+7fu4KlVRmlngY7RKfwGG0kiRJVcbMmXDFFdCnD1x6aSZwVs8+\njX32vNlc+/a13Dr8Vi7f/XI6tehEtVjsQDtJ5dyihtGWaIIgSZIkaXFeeinzOJMWLWDsWNhooz/W\njfhqBO2fbU+dWnUY1WkUdWrVyV2hkpYLw6YkSZKWyZQpcMYZMHw49OoFbdr8se63Ob9x6aBL6T+u\nPzf+80aOaXQMEX9pgEiqhJbLuIX8/PwSTY0rSZKkimPePLjjDmjSBOrVg8LCPwfNgs8K2O7O7Zg8\nYzLju47n2MbHGjSlSqSgoOBPj7lckPdsSpIkaYmNGQOdO8OKK8Kdd2ZmnJ1v+qzpnPvquQz8cCC9\n9utF263b5q5QSWVuqR99IkmSJM33yy/Qsyf885/QqRO88cafg+Zz7z9Ho96NSClR2LXQoClVYd6z\nKUmSpL9VUJD5ev99eOop2GYbOOEE2GILqJZtXXz767ec9uJpDP9qOP89+L/svvnuuSxZUjlg2JQk\nSdLf2m47uPfezARAv/+eGUI7X0qJ/yv8P3q+1JPjmxzPuK7jWHWFVXNXrKRyw3s2JUmStEgvvAAn\nngibbQZ77QVDhkBeXmZdgx2/5L8/dOWL6V/Qr20/tt94+1yWKilHfM6mJEmSSuznnzP3Zr76Kjz8\nMOyxxx/rilIRfUb2ofugi+mxQw+ePOpJVqy+Yu6KlVQuGTYlSZL0J6++Cu3bw777wrhxULPmH+s+\n/P5DOj7XkVlzZ1FwYgEN12u46ANJqtKcjVaSJElAZqbZrl2hXTvo0wfuuuuPoDm3aC7XDb6Onfrt\nxMHbHMzgdoMNmpL+lp1NSZIkUVCQCZl5eZlu5ppr/rFu5Ncj6fBcB9ZddV2GdxxOvbXq5apMSRWI\nYVOSJKkK+/VXOP98eOKJTCfzgAOKrZv9K5cWXEr/cf25fu/rOb7J8UT8ZQ4QSVooh9FKkiRVUYMH\nQ9Om8OOPMH78n4Pmyx+/TOPejfnml28o7FrICdudYNCUtETsbEqSJFUxM2fCxRfDQw9Br15wyCF/\nrPvut+/o+VJP3vz8TXrv35s2W7XJXaGSKjQ7m5IkSVXIsGHQrBlMnpy5N3N+0Ewp8eC4B2l0RyNq\nr1Kbwm6FBk1Jy8TOpiRJUhXw+++Qnw/33gu33QZHHPHHus9++oyuA7vy1c9f8ewxz7LDxjvkrE5J\nlYedTUmSpEpu5Eho0QLefx/Gjv0jaM4rmsdN79xEyz4t2XXTXRnZaaRBU1KpsbMpSZJUSc2eDVdc\nkZll9qab4JhjYP4cP2O/GUvH5zqy2oqrMaT9EOrXrp/bYiVVOoZNSZKkSmjsWDjxRKhTB8aMgQ03\nzCyfOWcml795OX1H9eXqPa+mXbN2zjIrqUwYNiVJkiqROXPgmmsy92Vefz2ccMIf3cxBnw6i84DO\nNN2gKeO6jmOD1TfIbbGSKjXDpiRJUiVRWAgnnQTrrAOjRsEmm2SW/zjzR85+5Wxe/vhleu3XiwO3\nPjCndUqqGpwgSJIkqYKbOzfTzdx9d+jSBV54IRM0U0o8NuExGt7RkJVrrExht0KDpqTlxs6mJElS\nBfbee5lu5mqrwbvvQt26meWTf55Mt4Hd+PjHj3n8yMdpXad1TuuUVPXY2ZQkSaqA5s2DG26AXXbJ\n3Jf5yiuZoFmUiug1vBfN7mpGy41aMqrTKIOmpJywsylJklTBfPghnHwyVK8Ow4dDvXqZ5RO/nUjH\n5zoSBG+e9CbbrrttbguVVKXZ2ZQkSaogiorg1lthp53gyCNh0KBM0Px97u/kF+Sz2327cXyT43nz\nZIOmpNyzsylJklQBfPIJtGuXebTJkCFQv35m+eAvBtPxuY7Ur12fMZ3HsHHNjXNbqCRl2dmUJEkq\nx1KCO++EVq3ggAPgzTczQXP6rOl0G9iNIx8/kst3v5ynjnrKoCmpXLGzKUmSVE598QW0bw/Tp2dC\n5rbZkbHPvPcMp7xwCm22bMOEbhNYc+U1c1uoJC2EYVOSJKmcSQnuuQfOOw969oSzz4YaNWDKjCmc\n+sKpjJ82ngcOeYDdNtst16VK0iIZNiVJksqRyZOhY0eYNg1efx0aN848zqTPyL5c+PqFdG7RmQcO\nfYCVa6yc61Il6W8ZNiVJksqBlKB/fzjrLDjlFDj/fFhhBXj/u/fpNKATs+bO4vUTXqfx+o1zXaok\nlYhhU5IkKce++QY6dYLPP4eXX4amTWH2vNlc+eb13DT0Ji7Z7RK6b9+d6tWq57pUSSoxZ6OVJEnK\nkZTg//4Pttsu8zViRCZoDps8jBZ9WjBk8hBGdhpJj1Y9DJqSKhw7m5IkSTkwbRp06waTJsGAAbD9\n9jDj9xmc/cJFPDrxUW7c50aObnQ0EZHrUiVpqdjZlCRJWs4efxyaNIEtt4SRIzNBc+AHA2nUuxE/\nz/6Zwq6FHNP4GIOmpArNzqYkSdJy8v330L07jBkDTz8NO+4I036dxslPnMbwr4bTr20/9qq3V67L\nlKRSYWdTkiRpOXjmmcxjTDbeGEaPhlatEveNuY/GvRtTp2Ydxncdb9CUVKnY2ZQkSSpDP/4Ip50G\nQ4bAI4/AP/4BH//wMZ0f68yPs37kxX+9SLMNm+W6TEkqdXY2JUmSysjzz2e6mbVqwdixsNPOc7lu\n8HW06tuKNlu2YViHYQZNSZWWnU1JkqRSNn069OwJr78O/fvD7rvDqCmj6PBAB9ZZdR2GdxxOvbXq\n5bpMSSpTdjYlSZJK0csvZ7qZK64I48ZBq11+4+yXz6bNg204fcfTeem4lwyakqoEO5uSJEmlYMYM\nOPtseOEF6NcP9t4bXvn4FToP6EzrOq0p7FrIuqutm+syJWm5MWxKkiQto0GDoF072GOPTDdz7grf\nc+LTPXnjszfovX9v2mzVJtclStJy5zBaSZKkpfTrr3DqqXD88dCrF/Ttmxj4xUM0vKMha6+8NoXd\nCg2akqosO5uSJElL4a234OSToXVrGD8efo7P2e+hLnz181c8e8yz7LDxDrkuUZJyys6mJEnSEpg5\nMzPT7FFHwQ03wL33zeP+92+mRZ8W7LrprozsNNKgKUnY2ZQkSSqxoUPhxBOhefNMN/OruePYqV8H\nVltxNYa0H0L92vVzXaIklRt2NiVJkhZj1iw491w4+GC48kq4578zuWHMBez1373o3KIzr5/wukFT\nkhawXDqb+fn55OXlkZeXtzxOJ0mSVGrefTfTzdxmm8xMsxN/K2C7OzvRdIOmjOs6jg1W3yDXJUpS\nThQUFFBQULDI9ZFSKtMCIiKV9TkkSZJK2+zZcPnl0KcP3Hwz/POgHzn31XN48eMX6bVfL9pu3TbX\nJUpSuRARpJRiweUOo5UkSVrA6NGw/fYwdiyMHp1YYbvHadS7IStWX5EJ3SYYNCWpBJwgSJIkKWvO\nHLjqqswzM2+4AfLaTqbrC9358PsPefzIx2ldp3WuS5SkCsPOpiRJEpnZZVu1gmHDYOSoImZscwfN\n+zSj+QbNGd15tEFTkpaQnU1JklSlzZ0L118PN94I11wDOx44kaMHdATgjZPeoMG6DXJcoSRVTHY2\nJUlSlTVpEuy8M7z+OgwZ/jtfbpFP3v27cVzj43jr5LcMmpK0DOxsSpKkKmfePLjpJrj22syMs43a\nDOagAR2pX7s+YzqPYeOaG+e6REmq8AybkiSpSvngAzjpJFhpJXj17enc9dH5XP7EM9y6760cuu2h\nRPxl9n5J0lJwGK0kSaoSiorgllugdWs45hjoccczHPB8I+YWzWVCtwkc1uAwg6YklSI7m5IkqdL7\n5BM4+eTM8NlnB03hxkmnMv618TxwyAPsttluuS5PkiolO5uSJKnSKiqCO+6AHXaAA9sWcfxNd3Pw\ni9uxzTrbMLbLWIOmJJUhO5uSJKlS+vxzaN8efvkF+j//PtdM7MSssbN47YTXaLx+41yXJ0mVnp1N\nSZJUqaQEd98NLVvC7nvNZv9rruT4gp05bNvDGNJuiEFTkpYTO5uSJKnSmDwZOnSA776DW58YxtUT\nOlLn6zqM7DSSumvWzXV5klSl2NmUJEkVXkpw333QvDlsv/MvtL7sdHqOOJjzdzmfAccMMGhKUg7Y\n2ZQkSRXalCnQqRN8+SVc0v95/jOpG7vP2Z3CroXUXrV2rsuTpCorUkple4KIVNbnkCRJVU9K8H//\nB2ecAcd3mcbkRqczYsow7jrgLvaqt1euy5OkKiMiSCn95UHFDqOVJEkVztSpcNhhcOVViW533U//\nNRqz6ZqbML7reIOmJJUTdjYlSVKF8uij0KMHHNLuYz7Yugs/zvqevm370nzD5rkuTZKqJDubkiSp\nQvvuOzjqKLj40rkccfP1PLZmK9ps9U+Gdxxu0JSkcsgJgiRJUrn39NPQrRvsedwoVsnrwHtzajO8\n43DqrVUv16VJkhZhsZ3NiOgXEVMjYtwCy0+NiPciYnxEXFN2JUqSpKrqhx/guOPgzPN+I++qs3l5\nvTb0bH06Lx/3skFTksq5kgyjvRf4Z/EFEZEHHAg0Sik1Bv5T+qVJkqSqbMAAaNIEfl3/VVKXxkTN\nrxnfdTwnbHcCEX+5NUiSVM4sdhhtSuntiFjwSchdgWtSSnOz23xXFsVJkqSq56efMo8zeX3o9zS6\n6ExGzyqg9/69abNVm1yXJklaAks7QVB9YNeIGBoRgyKiZWkWJUmSqqaXXoLGTRJfrvUQv7dvxLab\nrUVht0KDpiRVQEs7QVANYM2U0o4RsT3wKLDIGyfy8/P/9zovL4+8vLylPK0kSaqMZsyAM8+EgW9/\nzsZndWXaCpN5tu0z7LDxDrkuTZK0gIKCAgoKCha7XYmes5kdRvtcSqlJ9ufnyQyjfTP780dAq5TS\n9wvZ1+dsSpKkRXr9dTi5/Tw2Ovh2Ptjgcs5qfSZntT6LFaqvkOvSJEklsKjnbJa0sxnZr/meBvYE\n3oyI+sAKCwuakiRJi/LLL3DeefDYW+NYs3tHVl53Vd45YAj1a9fPdWmSpFJQkkefPAQMAepHxBcR\ncTJwD1AvIsYDDwEnlG2ZkiSpMnnzTWjcbBZvrnAhRf/ai3P26MTrJ7xu0JSkSqREw2iX6QQOo5Uk\nSVm//QYXXAAPvP0GKx3ekZ23aMqtbW5lg9U3yHVpkqSltKhhtIZNSZK0XAwZAsd3+pHY5xxmbvwi\nvQ/oRdut2+a6LEnSMlrWezYlSZKWyqxZcPElib6Dn6DaMadxdNODuXqvCdRcqWauS5MklSE7m5Ik\nqcyMGAHHdpnMr3ndWaPuh9x7SF9a12md67IkSaVoUZ3NxU4QJEmStKR+/x0uuLCIPc69g6mHNKPz\ngc0Z1220QVOSqhA7m5IkqVSNGgVHnTKRH3buyBZbwH2H3U2DdRvkuixJUhlxgiBJklSmZs+Gy676\nnZtGXE31HXtxzb6X0aVlZ6qFA6kkqTJzgiBJklRmxo2Dw84YzDfbd+QfR9Sn76Gj2aTmJrkuS5KU\nQ4ZNSZK0VG6+GZ58Ej6bMp2vtrmAai2fZquPbuWf6x/KJjX/8g/ckqQqxrApSZKWSosWieuff5Qf\njuzJMU0O4La2hay1ylq5LkuSVE4YNiVJ0hKZPh26XvgRT/7enfX3nMJrxz7mLLOSpL/wjn1JklRi\njz7xO3WOu4Knau/IhUfvzUdnjTRoSpIWys6mJElarK+/hqPOHcTw9bqy/b5b89Bxo9i01qa5LkuS\nVI4ZNiVJ0iIVFcF/7pzGJW+dzcpbF/DAYbdyROODcl2WJKkCcBitJElaqImTitj6mLu5cHIjjjlw\nPSZfMMGgKUkqMTubkiTpT2bPhjOuHk+fKV3YpEkRw05+heYbbZfrsiRJFYydTUmS9D+vv/UrG514\nDn3n7Mnlh53IxxcMNmhKkpaKnU1JksTPP8Mx+c/xUrVTab3DP3i0w3g2WGP9XJclSarADJuSJFVx\n9zzxJacM6MGKG0/kiSPv4aAme+S6JElSJeAwWkmSqqjJX8+ladcb6fhuM47arRlT88cZNCVJpcbO\npiRJVUxKcEHvoVw/qQt11luXMZ3eofHGW+W6LElSJWPYlCSpCnl3wo8cdMsFfFv7Ga7Y9wbO3e9o\nIiLXZUmSKiHDpiRJVcDs2Ynjr/s/Hpt+Fq03P4RxPSZSe7U1c12WJKkSM2xKklTJPT7oA056vBvV\nVvueJ496ioNbtsp1SZKkKsCwKUlSJfXdT7M44JprGc7t/8/encdpPe//H3982ixJWSJFCimlpFAo\nRijkEMeeNSKpRpIjkhHZlTZakKX42tcWaRna972mclq0KKVSaZtmPr8/rs75OYiW65rPzFyP++3m\nJs01n/dTV8s8e70/7w+NKz/KG81aULigf/RLknKGf+JIkpQPdXpvGGmTmlO6UFVm3DeNqscfG3Uk\nSVKSsWxKkpSPzF6ymsu7P8CKAmPoUKsHj11/edSRJElJyrIpSVI+kJWdTZOefXhneQfOPLAJk9rO\noWSJolHHkiQlMcumJEl53FeTZ9D4vXvIyizEe1cP5/qUqlFHkiTJsilJUl61YctmrujyOKM39uea\nI5+m/4N3UKRwgahjSZIEWDYlScpzwjCk86DPafddK47cVI8JLWZzZuWSUceSJOl/WDYlScpD5q1c\nyuWvtmTppoW0PeVtnr47hSCIOpUkSX9k2ZQkKQ/IzMrk3re70G/B81Td3Jqlj35EmVJFoo4lSdJu\nWTYlScrlBs4aw83vNWPb2jL0vWwCTRqdGHUkSZL+lmVTkqRc6uct67im17/47sdBXFKgC//30rUU\nK+aeWUlS3mDZlCQplwnDkM7D3+GRkQ9x6LLrGNZsLhecUzzqWJIk7RXLpiRJucjsVRk0eu1elvy4\nkWZlvqLL62dQuHDUqSRJ2nuWTUmScoGtmVtp9dHTvDmrF+V/6MCcDs2peHLBqGNJkrTPLJuSJEXs\ni7lfc9v7zdm6qCbPnTeD1p1K+zgTSVKeZ9mUJCkiP276kZvebs3oxRM5Z31PPnjxUo4+OupUkiTF\nR4GoA0iSlGyysrN4bmQPyr9QjanDT+T/zpvNt69bNCVJ+YuTTUmSctCUlVO57p17WLboYK47+Fte\nfasyxYpFnUqSpPizbEqSlAM2bt/I/Z8/xoAZ71NyxnN8++itnH22N2ZKkvIvy6YkSQkUhiEfzvmY\nuz+5n22zG9Cm6hzSPjmCIkWiTiZJUmJZNiVJSpBF6xdx2/stmPL9Uk5e8B7vv1CXihWjTiVJUs7w\ngCBJkuJsR9YOnhz5DKd2PYtpn53HSydPY+pnFk1JUnJxsilJUhx9t/Q7bv2gGWsWluf8TZN4o195\njjkm6lSSJOU8y6YkSXGwdstaUgc+xOczv+GA9JcZ0OZqGjXyACBJUvKybEqStB+yw2z6TXuTNoPa\nsXP6TdxYai4vDSzGoYdGnUySpGhZNiVJ2kdzfppDk0/uZcGibRw+egjvvHA6554bdSpJknIHDwiS\nJGkvbcncwsPftKN2rxTmvH8DrYqOY95Ii6YkSb/lZFOSpL0waOEg7v7sPrb/uzaV5s/krZ7HULly\n1KkkScp9LJuSJO2B5RuX02rQ/aRnTCfri94827Q+97wCBdwjJEnSn7JsSpL0F3Zm76TnxJ48PuJJ\nCk1rzrk736HXlwdRpkzUySRJyt0sm5Ik7cbEFRNp+nkz1i4vQZHPRvPqk5W4+moIfKKJJEl/y7Ip\nSdLv/LLtFx4d8SgDpn1M8M0LXFOxMc+PDShRIupkkiTlHZZNSZJ2CcOQ9+e8z/2DH+CgZf/giJFz\neKPn4Zx3XtTJJEnKeyybkiQB36/7nuYD72PuDz+y7f8+ommjc3h0Ehx4YNTJJEnKmyybkqSktn3n\ndp4f8zydx3blsDkPU/rfqbz+bmGqVo06mSRJeZtlU5KUtEYuHkmzr+6lwLqK0G8qrduUpflbULBg\n1MkkScr7LJuSpKTz068/0fabtnw9fyRFhnfntAOuZOgoOO64qJNJkpR/+ChqSVLSyA6z6TulL1V6\nnsrMcSUJe8zlhTuv5IsvLJqSJMWbk01JUlKYtXoWzQY24+d12RR89xtq1DyN4TPg8MOjTiZJUv6U\nI2UzLS2NlJQUUlJScmI5SZL+69cdv/LEt0/wxtQ3KbfoSXaOaMq7vQtQr17UySRJytvS09NJT0/f\n7ceDMAwTGiAIgjDRa0iS9Ge+nP8lLQe3pFRmHb7v8RJNbzqaDh3goIOiTiZJUv4RBAFhGAa//363\n0UqS8p1lvyyj1ZBWTF8xhxKjXidr+YUM/wJOOy3qZJIkJQ8PCJIk5Rs7s3fSeVxnTu99OpsWns7G\n52Zy23kXMn68RVOSpJzmZFOSlC+MXz6eZl8144CdJTnys3EULl6BKROgXLmok0mSlJwsm5KkPG39\n1vW0G96OzzO+oPpPLzH17Rvo0jngxhsh+MPdI5IkKae4jVaSlCeFYciAmQOo/Eplli8rQOE+czlq\n9Y3MmR1w000WTUmSouZkU5KU5yz4eQHNBzZn9aafqTb3M+aOrMXrveHii6NOJkmS/sPJpiQpz9i2\ncxtp6Wmc8/o5HLWhIaufnES1w2sxa5ZFU5Kk3Ga/JptBELQG7gSygVnAHWEY7ohHMEmSfmvYomE0\nH6n4d08AACAASURBVNicE4pW5ZRvp5Hx43EMGQQ1akSdTJIk/Zl9nmwGQVAaaAnUCMOwGrHiekO8\ngkmSBLBq8yoaf9KYu764i3M3d2byQx9zRcpxTJxo0ZQkKTfb33s2CwJFgyDIBg4GVu5/JEmSIDvM\npvfk3nRI70DD0ndSfMAclpcoysSJcMIJUaeTJEl/Z5/LZhiGK4MgeAn4AdgCDA3DcFjckkmSktb0\nVdNp9lUzClCIhmtHMPjFqrzwAtxyi6fMSpKUV+xz2QyCoARwJXA88AvwURAEN4Vh+O7vX5uSkkK5\ncuUoV64cKSkppKSk7HNgSVL+tWn7Jh5Pf5wBswbQuNTTfNrhDsqfXYBZs+Coo6JOJ0mSANLT00lP\nT2fJkiUsWbJkt68LwjDcpwWCILgGaBCGYdNd/30LUCsMwxa/e124r2tIkpJDGIZ8lvEZqUNSOad0\nPbIHv8DE9JK8+ipcemnU6SRJ0l8JgoAwDP+w92h/7tn8AagdBMGBwHbgQmDSflxPkpSElm5YSovB\nLVj480JuOeRtXk9N4cYbYfZsOOSQqNNJkqR9tT/3bE4MguAjYBqQuevffeIVTJKUv2VmZdJlfBee\nH/M8t1dqzfa3P+KrlQfw5Zdw5plRp5MkSftrn7fR7vECbqOVJP3OmB/G0GxgM445pDRnrH6FPs+e\nyIMPQps2ULhw1OkkSdLeSMQ2WkmS9srPW37m4WEPM+j7QaRW6sIHj1/L+GIB48ZBhQpRp5MkSfFU\nIOoAkqT8LwxD3pr+FlVeqUKh4ECuWzOXF2+/jub3BgwfbtGUJCk/crIpSUqoeWvmce/Ae9m0YxOP\nV/iKzg+cQY0aMHMmlCoVdTpJkpQoTjYlSQmxecdmHhn+CHX71aXB8VdTdfxEnml5Bl26wPvvWzQl\nScrvLJuSpLgKw5D+M/tTqUcllv2yjI7HzKDbTa049JCCzJkDl18edUJJkpQT3EYrSYqbySsn02pw\nK3Zk7aBnyge8nnYOryyCTz+F2rWjTidJknKSjz6RJO231ZtX88jwRxj0/SCevOAphr1wB598XIDS\npaFsWSiwax9No0Zw//3RZpUkSfHlo08kSXG3I2sH3Sd055nRz3DbabfxzZUZPNiiOD/9BBMnQvXq\nUSeUJElR8Z5NSdI+GbxwMNVercawxcMYdcdoTl7yEhecXZy6dWHCBIumJEnJzsmmJGmvLPx5Ia2/\nbs38n+fTpUEXKhdqSNMbAjZtgvR0qFIl6oSSJCk3cLIpSdojG7dv5KFvHuLs18/mvOPPY+Y9s1ky\n9HLOOiugQQMYO9aiKUmS/r8cmWympaWRkpJCSkpKTiwnSYqj7DCbd2a8Q7vh7ah/Yn1m3TuLzauO\nocFFkJUFY8ZAxYpRp5QkSTktPT2d9PT03X7c02glSbs1YfkEWg1pBUC3S7pxxjG16NoVnn4a2reH\nli2hYMGIQ0qSpEh5Gq0kaY/9uOlH2g1vx9B/D+WZC5/hltNuYcH8AtStC4ULw/jxcNJJUaeUJEm5\nmfdsSpL+a/vO7Tw/5nmqvlqVo4seTUaLDBqfehsvPF+AOnWgcWMYOdKiKUmS/p6TTUkSYRgycOFA\nWn/dmkpHVmLcneOocEQFZs+GJk3g0ENh0iQoXz7qpJIkKa+wbEpSkstYm0Hrr1uzaP0iul3SjUsr\nXEpmJjz1FHTtCp06QdOmEPzhTgxJkqTds2xKUpL6ZdsvdPy2I2/NeIt2ddrR8oaWFClYhOnT4Y47\noFQpmDoVjjsu6qSSJCkv8p5NSUoy2WE2r099nUo9K7Fh2wbmNJ9Dm3PaQFYROnSA+vUhNRUGDbJo\nSpKkfedkU5KSyNhlY2k1uBVFChbhyxu/5IzSZwAweXJsmlm+PEyfDqVLRxxUkiTleZZNSUoCKzau\n4F/D/kX6knSevehZGldtTBAEbNsGaWnQrx907gw33eS9mZIkKT7cRitJ+di2ndt4ZtQznNbrNMoW\nL0tGiwxurnYzQRAwbhycfjp8/z3MnBl7rIlFU5IkxYuTTUnKh8Iw5PP5n9NmaBuqHlWVCXdN4MTD\nTwRgyxZ47DF4913o1g2uvTbisJIkKV+ybEpSPjN3zVzuH3I/yzcup1fDXlx84sX//dioUXDnnVCz\nZmyaWbJkhEElSVK+ZtmUpHxiw7YNpKWnMWDWANrXbU/zM5tTuGBhAH79Fdq1g48/hp49oVGjiMNK\nkqR8z3s2JSmPy8rOos+UPlTqUYktmVuY23wuqbVT/1s0R46EqlVhwwaYNcuiKUmScoaTTUnKw0Yt\nHUXqkFSKFinKoMaDqHFMjf9+bNMmeOgh+Oor6NULGjaMMKgkSUo6lk1JyoOW/bKMh4Y9xJgfxvD8\nxc9zfZXrCX5zlOzQodC0KVx8cWyaWaJEhGElSVJSsmxKUh6yNXMrL459kZcnvMx9Z97Ha/94jaJF\niv734xs2QJs2MGwY9O0L9etHGFaSJCW1HCmbaWlppKSkkJKSkhPLSVK+E4Yhn8z7hAe/eZAax9Rg\nctPJlD+s/P+8ZuBAaNYMLr88Ns089NCIwkqSpKSQnp5Oenr6bj8ehGGY0ABBEISJXkOS8rNZq2eR\nOiSVNVvW0PWSrtQrX+9/Pr5uHaSmwpgx8NprUK/ebi4kSZKUAEEQEIZh8Pvv9zRaScql1m1dR4tB\nLbjw7Qu5+pSrmXbPtD8UzU8/hVNPhcMPj00zLZqSJCm38J5NScpldmbvpM+UPqSlp3FN5WuYe99c\njjz4yP95zZo10LIlTJ0KH3wAdepEFFaSJGk3LJuSlIukL0kndUgqhx14GN/c8g2nlTrtfz4ehvDh\nh7Fts40bwxtvwMEHRxRWkiTpL1g2JSkXWLphKW2/acuEFRN48eIXuabyNf/zKBOA1auheXOYOze2\nfbZ27YjCSpIk7QHv2ZSkCG3J3EJaeho1+tSgSskqzLtvHtdWufZ/imYYwoABUK0anHwyTJtm0ZQk\nSbmfk01JikAYhnw490PaftOW2sfWZto90yhbvOwfXrdyZexxJosXxx5tcsYZEYSVJEnaB5ZNScph\nM1bNIHVIKuu3reftRm9zfrnz//CaMIQ334R//QvuvRc++giKFMn5rJIkSfvKsilJOWTtlrU8NuIx\nPsn4hLTz02hasymFCvzxt+EffoB77oFVq2DoUKhePYKwkiRJ+8l7NiUpwXZm76T7hO5U7lmZQgUK\nMe++edx75r1/KJphCL17Q82asUeZTJxo0ZQkSXmXk01JSqDhi4aTOiSVow85mhG3jeDUo07909ct\nXgx33QWbNkF6OlSpkrM5JUmS4s3JpiQlwOL1i7n6/au568u7ePKCJxl2y7A/LZrZ2dCjB5x5JjRo\nAGPHWjQlSVL+4GRTkuLo1x2/8szoZ3h18qu0rt2aAVcP4KDCB/3pa7//Hu68EzIzYfRoqFQph8NK\nkiQlkJNNSYqDMAx5b9Z7VOpZiUXrFzGj2Qzan9f+T4tmVhZ06RJ7VmajRjBqlEVTkiTlP042JWk/\nTf1xKq0Gt2JL5hbe++d71ClbZ7evzciAJk2gcGEYPx5OOikHg0qSJOUgJ5uStI9++vUnmn7RlMsG\nXMZtp93GpKaTdls0d+6E55+PnTJ7000wcqRFU5Ik5W9ONiVpL2VmZdJzUk86jerEzVVvJqNFBiUO\nLLHb18+eHZtmFisGkyZB+fI5GFaSJCkilk1J2gtD/z2U+4fcz3HFj+O727/jlJKn7Pa1mZnw3HPQ\ntSt06gRNm0IQ5GBYSZKkCFk2JWkP/Hvdv3lg6APM/mk2net35oqKVxD8RXOcPh3uuAOOPhqmTIGy\nZXMwrCRJUi7gPZuS9Bc279hMu2HtqPVaLc4+9mzmNp/LlZWu3G3R3LEDOnSA+vUhNRUGD7ZoSpKk\n5JQjk820tDRSUlJISUnJieUkab9lh9kMmDmAh4c/TL3y9Zh570xKFyv9l58zeXJsmlm+fGyyWfqv\nXy5JkpSnpaenk56evtuPB2EYJjRAEARhoteQpHiatGISrYa0Ymf2Trpd0o2zjzv7L1+/bRs88QS8\n8QZ07hw7bdZ7MyVJUrIIgoAwDP/w1Y/3bErSLqs3r6bd8HYM/n4wnep14vbqt1Mg+Ou7DcaPj500\ne8opMGMGlCqVQ2ElSZJyOe/ZlJT0dmTt4MWxL1LllSocftDhZNyXQZPTm/xl0dy6FR58EBo1grQ0\n+Ogji6YkSdJvOdmUlNQGLRxE669bc+JhJzKmyRgqHlnxbz9n9OjYNLNGDZg1C0qWzIGgkiRJeYxl\nU1JSWvjzQlp/3ZoFPy+gS4MuNDy54d9+zq+/wiOPwIcfQs+ecNVVORBUkiQpj3IbraSksnH7Rh76\n5iHOfv1szj/+fGY3n71HRXPkSKhWDdavh9mzLZqSJEl/x8mmpKSQHWbz9oy3eWT4IzQ4qQGzm8+m\n1CF/f5Plpk3w0EPw5ZfQqxdcfnkOhJUkScoHLJuS8r0JyyfQakgrAgI+u+Ezzipz1h593tCh0LQp\nXHRRbJpZokSCg0qSJOUjlk1J+daPm37k4eEPM2zRMJ658Blurnbz3z7KBGDDBmjTBoYNg759oX79\nHAgrSZKUz3jPpqR8Z/vO7Tw3+jmqvlqVYw45hoz7Mrj1tFv3qGgOHAhVq0KRIrGTZi2akiRJ+8bJ\npqR8IwxDvlrwFQ8MfYBKR1Zi3J3jqHBEhT363HXr4P77Y481eestqFcvwWElSZLyOcumpHwhY20G\n9w+5nyUbltD90u5cctIle/y5n30G990H//wnzJwJhxySwKCSJElJwrIpKU/7ZdsvPPHtE7GTZus+\nQouzWlCkYJE9+ty1a6FlS5g8Gf7v/6Bu3QSHlSRJSiLesykpT8rKzuK1qa9RsUdFNm7fyJzmc3jg\n7Af2uGh++GHs3swyZWDGDIumJElSvDnZlJTnjPlhDK2GtOLAQgcy8KaB1Cxdc48/d/Xq2JbZOXPg\n00+hdu0EBpUkSUpiTjYl5RkrNq7g5k9u5vqPrueB2g8w+o7Re1w0wxAGDIBq1aBCBZg2zaIpSZKU\nSE42JeV623Zu46WxL9F5fGea1WxGRosMDimy56f4rFwJzZrB4sWxR5uccUYCw0qSJAlwsikpFwvD\nkM8yPqPKK1WY/ONkJjWdRKcLO+1x0QxD6NcPqleH00+PHQRk0ZQkScoZTjYl5Upz18wldUgqKzet\npPflvbnohIv26vOXLYO774ZVq2Do0FjhlCRJUs5xsikpV1m/dT2pg1M5/83z+cfJ/2D6PdP3qmiG\nIfTpAzVqwLnnwsSJFk1JkqQoONmUlCv851EmHdI7cFWlq5jbfC4li5bcq2ssWQJ33QW//AIjR8Kp\npyYmqyRJkv7efpfNIAgKAJOB5WEYXrH/kSQlm1FLR9FqSCuKFSnG1zd/TfVSezeKzM6GV1+Fxx+H\ntm2hTRso5F+lSZIkRSoeX46lAnOBQ+NwLUlJZNkvy2j7TVvGLhvLCxe/wHVVriMIgr26xvffx6aZ\n27fD6NFQqVKCwkqSJGmv7Nc9m0EQHAtcBrwWnziSksHmHZvp+G1HqveuzslHnMy8++Zx/anX71XR\nzMqCLl1iz8q88kqLpiRJUm6zv5PNLkBboHgcskjK57bt3Ebvyb15ZvQzpJRLYcrdUyhXotxeXycj\nA5o0iW2VHTcOKlSIf1ZJkiTtn30um0EQNARWh2E4PQiCFGC3I4mUlBTKlStHuXLlSElJISUlZV+X\nlZQHZWZl8taMt+j4bUdOK3UaQ24estf3ZQLs3AmdO8Pzz0NaGjRvDgU8U1uSJClHpaenk56ezpIl\nS1iyZMluXxeEYbhPCwRB8DRwM7ATOAgoBnwShuGtv3tduK9rSMrbssNs3p/9Ph3SO3DcocfRqV4n\nzj7u7H261uzZsWlmsWLw2mtQvnycw0qSJGmfBEFAGIZ/GD7uc9n83cXPB9r82Wm0lk0p+YRhyJcL\nvqT9iPYcXPhgOtXrxIUnXLhP18rMhOeeg65doVMnaNoU9vIMIUmSJCXQ7sqmDweQFFfDFw3n0RGP\nsiVzC0/Ve4p/nPyPvT5h9j9mzIA77oCjjoIpU6Bs2TiHlSRJUsLEZbL5lws42ZSSwrhl43h0xKMs\n27iMjikduf7U6ykQ7NsNlTt2xKaYr74am2refrvTTEmSpNzKyaakhJixagbtR7ZnxqoZdDi/A7ed\ndhuFCxbe5+tNmRKbZh5/PEybBmXKxDGsJEmScoxlU9I+WfDzAjqM7ED6knTa1WnHh9d+yIGFDtzn\n623bBh07wuuvw0svQePGTjMlSZLyMsumpL2ydMNSOn7bkS8WfEHr2q157YrXOKTIIft1zfHjYyfN\nVqoUu0+zVKk4hZUkSVJkLJuS9siqzat4etTTDJg1gGY1m7GgxQIOO+iw/brm1q3w2GPQvz906wbX\nXus0U5IkKb+wbEr6S+u2ruOFMS/QZ2ofbql2C3Obz+XoQ47e7+uOHh2bZtaoAbNmQcmScQgrSZKk\nXGPfjoqUlO9t2r6Jp757ipO7n8zaLWuZds80Xr7k5f0umk88Edsme+GFUKQIrFoVm2i+/HKcgkuS\nJClXcLIp6X9s27mNXpN78ezoZ6lXvh7j7hxHhSMq7P91t0HnztC9OzRtCo88AsWKxSGwJEmSciXL\npiQAMrMyeXP6m3T8riM1jqnB0FuGUu3oavt93TCETz6Btm2henWYMAFOPDEOgSVJkpSrWTalJJcd\nZvN/s/+PDiM7UK5EOT689kNqH1s7LteeORNSU2HtWujbN7Z1VpIkScnBsiklqTAM+WL+F7Qf2Z5D\nihxCn3/0oV75enG59po10KFDbKKZlhbbNlvI320kSZKSil/+SUkmDEOGLRpG+5Ht2bZzG89c+AwN\nKzQkiMMzRzIzoWdP6NQJbroJ5s2Dww+PQ2hJkiTlOZZNKYmMXTaWR0c8yoqNK3jygie5tsq1FAji\ncyj14MHwwANQtix8+y1UrhyXy0qSJCmPsmxKSWD6qum0H9GeWT/N4vHzH+fW026lUIH4/PKfPz9W\nMhcujJ0227AhxGFIKkmSpDzO52xK+dj8tfO5/qPruXTApTQ4sQELWiygyelN4lI0N2yIlcxzz4V6\n9WD2bLj8coumJEmSYiybUj60dMNSmnzehDr96nB6qdP5vuX3tKzVkgMKHbDf187Kgj59oFIl2LwZ\n5s6FNm2gSJE4BJckSVK+4TZaKR9ZtXkVnb7rxLuz36X5Gc1Z2HIhJQ4sEbfrp6fD/ffDoYfG7tE8\n/fS4XVqSJEn5jGVTygfWbV3H82Oep8+UPtxe/Xbm3TePo4oeFbfrL1kCbdvCpEnw/PNw7bVul5Uk\nSdJfcxutlIdt2r6JJ799kpO7n8y6reuY0WwGnRt0jlvR3LwZ2reHmjWhWrXYo0yuu86iKUmSpL/n\nZFPKg7ZmbuXVya/y3JjnuOiEixh/13hOOvykuF0/OxvefRcefhhSUmDGDDj22LhdXpIkSUnAsinl\nIZlZmbwx7Q2eGvUUZ5Q+g2G3DKPq0VXjusaECZCaGjsI6IMP4Jxz4np5SZIkJQnLppQHZGVn8d7s\n90hLT+OEw07g4+s+5qwyZ8V1jZUrY5PM4cPh6afhlluggBvtJUmStI8sm1IuFoYhn2V8xmMjH6P4\ngcV57YrXSCmXEtc1tm2Dzp3hpZfg7rshIwOKFYvrEpIkSUpClk0pFwrDkG8WfcOjIx5lZ/ZOnrvo\nOS6rcBlBHE/mCUP45BN48MHYI0wmTYITTojb5SVJkpTkLJtSLjP6h9E8OuJRVm9eTccLOnJN5Wso\nEMR3P+uMGbHnZf78M7z+OtSrF9fLS5IkSZZNKbeY+uNU2o9oz9w1c3n8/Me55bRbKFQgvr9E16yB\nxx6DTz+FtDRo2hQK+buAJEmSEsDjP6SIZazN4LoPr+Pydy/nsgqXMb/FfO44/Y64Fs0dO6BLF6hc\nGQ48MHZf5r33WjQlSZKUOH6pKUVkyYYlPPHtEwxcMJA2Z7eh35X9KFqkaNzXGTwYWreGcuXg229j\nhVOSJElKNMumlMN+3PQjnUZ14r3Z73HfmfexsOVCih9YPO7rZGTAAw/A99/HppqXXQZxPF9IkiRJ\n+ktuo5VyyM9bfuZf3/yLU189lQMKHkDGfRl0vKBj3Ivmhg2xSWbdunDRRTB7NjRsaNGUJElSzsqR\nspmWlkZ6enpOLCXlOhu3b6Tjtx2p2KMiv2z/hRnNZvBSg5coWbRkXNfJyoLevaFiRfj1V5gzJzbZ\nLFIkrstIkiRJAKSnp5OWlrbbjwdhGCY0QBAEYaLXkHKjrZlbeWXSKzw/9nnqn1iftPPTOPHwExOy\nVnp67FEmxYvDyy/HnpspSZIk5YQgCAjD8A/76LxnU4qzHVk7eH3q63Qa1YmzypzF8FuHc+pRpyZk\nrcWLoW1bmDwZXngBrrnG7bKSJEnKHSybUpxkZWcxYNYA0tLTqHBEBT69/lPOLHNmQtbavBmeeQZ6\n9Yrdn/nOO3DQQQlZSpIkSdonlk1pP4VhyCfzPqFDegcOO/Aw+l3Zj/PLnZ+QtbKzoX9/eOQRuOAC\nmDEDjj02IUtJkiRJ+8WyKe2jMAwZ+u+hPDriUbLDbF68+EUuOekSggTtY50wAVq1gjCEDz+Es89O\nyDKSJElSXFg2pX0waukoHh3xKGu2rOHJC57k6lOupkCQmMOdV6yAdu1g+HB4+mm45RYo4EOLJEmS\nlMtZNqW9MGXlFNqPbE/G2gzSzk+jcbXGFCqQmF9GW7dC586xf+65BzIyoFixhCwlSZIkxZ1lU9oD\nc9fMpcPIDoxbPo5H6z7K5zd8TpGCiXmAZRjCxx/HTpmtUQMmTYITTkjIUpIkSVLCWDalv7B4/WLS\nvk1j8MLBtD2nLW9f9TYHFz44YetNnx57Xua6dfDGG7FDgCRJkqS8yDu/pD+xctNKmg9szpl9z6R8\nifIsbLmQtue2TVjRXLMmtlW2QQO44QaYOtWiKUmSpLzNsin9xtota2k7tC1VX61K0cJFyWiRQVpK\nGsUPLJ6Q9XbsgC5doHLl2HMyMzKgWTMo5J4DSZIk5XF+SSsBG7dvpPO4zvSY2IPrqlzHzGYzKXNo\nmYSuOWgQtG4N5cvDd9/BKackdDlJkiQpR1k2ldS2ZG6h58SevDD2BS6tcCkTm07khMMSexpPRgY8\n8AD8+9+xk2YvuwwS9GhOSZIkKTKWTSWlHVk7eG3qa3Qa1Ymzjz2b9NvTqVyyckLXXL8eOnaE/v1j\nz8387DMokpgDbSVJkqTIWTaVVLKys+g/sz9PfPsEFY+syBc3fEHN0jUTu2YWvPYadOgAjRrBnDlw\n1FEJXVKSJEmKnGVTSSE7zOaTeZ/QYWQHjjj4CN5q9BZ1j6+b8HVHjow9yqRECRgyBE4/PeFLSpIk\nSbmCZVP5WhiGDPl+CO1Htgegc4PONDixAUGCb5JcvBgefBCmTIEXX4R//tP7MiVJkpRcLJvKt75b\n+h2PjniUn7f8zJMXPMnVp1yd8JK5eTM88wz06hU7abZ//9gjTSRJkqRkY9lUvjN55WTaj2jPgp8X\nkJaSRuOqjSlYoGBC18zO/v8H/9SrBzNnQpnEPjlFkiRJytUsm8o35vw0hw7pHRi/fDzt67bnzhp3\nUqRg4o97HT8eUlNj3/74Y6hdO+FLSpIkSbmeZVN53qL1i0hLT+Prf39N23Pa0v+q/hxUOPF7V1es\ngIcfhhEjYltnb74ZChRI+LKSJElSnuCXxsqzVmxcwb1f3ctZfc/ixMNOZGHLhTx4zoMJL5pbt8JT\nT0G1alC2LMyfD7featGUJEmSfsvJpvKctVvW8uzoZ+k3vR93nn4n81vM54iDj0j4umEY2ybbti3U\nqAGTJsEJJyR8WUmSJClPsmwqz/hl2y90HteZnpN6cn2V65l17yxKFyudI2tPnx67L3PDBnjjDbjg\nghxZVpIkScqz3PinXG9L5haeH/M8FbpXYOkvS5nUdBI9G/bMkaK5Zg3ccw80aAA33hh7bqZFU5Ik\nSfp7lk3lWjuydtBzYk9O6nYSk1ZO4tvbv+XNRm9S/rDyiV97B3TuDJUrw8EHQ0YGNGsGhdwLIEmS\nJO0Rv3RWrrMzeyf9Z/YnLT2NyiUr89VNX1HjmBo5tv6gQdC6dex+zFGjoFKlHFtakiRJyjcsm8o1\ntu/czgdzPuDp0U9zVNGj6H91f+qUrZNj68+bBw88AIsWQZcucNllOba0JEmSlO9YNhW5VZtX0Wty\nL3pP6U3Vo6rS9ZKuXHzCxQRBkCPrr18PTzwBAwbAI4/AffdBkSI5srQkSZKUb1k2FZnJKyfTbUI3\nvlzwJddXuZ7htw6ncsnKObZ+Vhb07QuPPw6NGsGcOXDUUTm2vCRJkpSvWTaVozKzMvlk3id0m9iN\n5RuX0+LMFrx8ycscftDhOZpj5Ei4/3447DD4+muoXj1Hl5ckSZLyPcumcsTaLWvpO6Uvr0x+hRMP\nO5E2Z7fhiopXUKhAzv4UXLQI2raFqVPhhRfgn/+EHNqtK0mSJCUVy6YSaubqmXSb0I2P533MVZWu\n4ssbv6R6qZwfI27aBM88A717xw4B6t8fDjoox2NIkiRJScOyqbjLys7ii/lf0G1iNxb8vIDmZzRn\nQYsFlCxaMsezZGfDO+/EDv658EKYORPKlMnxGJIkSVLSsWwqbtZvXc8b096gx6QelDqkFKm1Uvnn\nKf+kcMHCkeQZPx5atYptk/34Y6hdO5IYkiRJUlKybGq/zVszj+4Tu/Pe7PdoWKEh71/zPmeVOSuy\nPCtWwMMPw4gR8Oyz0LgxFCgQWRxJkiQpKVk2tU+yw2yGfD+ErhO6MmPVDO6peQ9zm8/lmGLHRJZp\n61Z46SXo0gWaNYP58+GQQyKLI0mSJCU1y6b2yqbtm3hz+pt0n9idYgcUI7VWKl/c8AUHFDogskxh\nCB99FDtl9owzYPJkKF8+sjiSJEmSsGxqD32/7nt6TOzBOzPf4cLyF9Lvyn6cc9w5BBE/N2T6ceH2\ndAAAFb1JREFUdEhNhQ0b4M03ISUl0jiSJEmSdrFsarfCMGT44uF0ndCV8cvHc9fpdzH9nukcV/y4\nqKPx00/Qvj18/jl07Ah33QUFC0adSpIkSdJ/WDb1B7/u+JX+M/vTbWI3CgQFSK2VygfXfMBBhaN/\nMOWOHdCjR+yZmbfcErsvs0SJqFNJkiRJ+j3Lpv5r6Yal9JzUkzemvUGdsnXocWkPUsqlRL5VFmL3\nZQ4aBA88ACeeCKNGQaVKUaeSJEmStDv7XDaDIDgWeBsoBWQBfcMw7BavYMoZYRgy6odRdJ3QlfQl\n6dx+2u1MbDqREw47Iepo/zVvXqxkLl4cO2n2ssuiTiRJkiTp7wRhGO7bJwZBKaBUGIbTgyA4BJgC\nXBmGYcbvXhfu6xpKnG07t/HerPfoNrEbWzO30qpWK2497VYOKZJ7nhWyfj088QQMGACPPAL33QdF\nikSdSpIkSdJvBUFAGIZ/2A65z5PNMAxXAat2fXtzEATzgDJAxl9+oiK1ctNKXpn0Cn2n9qXmMTV5\n9sJnufjEiykQFIg62n/t3Al9+0JaGlx1FcydCyVLRp1KkiRJ0t6Iyz2bQRCUA6oDE+JxPcXf+OXj\n6TqhK19//zWNqzbmu9u/o+KRFaOO9QejRsUmmIcfDkOHwmmnRZ1IkiRJ0r7Y77K5awvtR0BqGIab\n/+w1KSkplCtXjnLlypGSkkKKD0PMETuydvDhnA/pNrEba7espeVZLenVsBfFDywedbQ/eO456NYN\n1q6Fk06KHQiUmgqNGsH990edTpIkSdJ/pKenk56ezpIlS1iyZMluX7fP92wCBEFQCPgKGByGYdfd\nvMZ7NnPY6s2r6T2lN70m96Jyycq0qtWKhhUaUrBA7nwQ5YgRsedk1q0bOwDo8MOjTiRJkiRpT8X9\nns1d3gDm7q5oKmdN/XEq3SZ04/P5n3Nd5esYestQTj3q1Khj7dbGjfDQQzBwIPTqBQ0bRp1IkiRJ\nUrzsz6NPzgUaA7OCIJgGhMAjYRgOiVc4/b2d2Tv5dN6ndJvYjaUbltLirBa8VP8ljjj4iKij/aWv\nv4a774aLL4bZs6F47tvZK0mSJGk/7Nc22j1awG20CfHzlp/pO7Uvr0x6hXIlytGqVisaVWpEoQJx\nOfMpYTZsiD0zc/jw2Imz9etHnUiSJEnS/kjUNlrlsFmrZ9F9Ync+nPshjSo14rMbPqPGMTWijrVH\nvvoKmjWDK66ITTOLFYs6kSRJkqREsWzmAVnZWXy14Cu6TezGvDXzuPeMe5nfYj5HFT0q6mh7ZN26\n2MmyY8fCO+/ABRdEnUiSJElSolk2c7EN2zbQb1o/ekzqwZEHH0lqrVSuqXwNRQoWiTraHvv009hz\nM6+9FmbOhKJFo04kSZIkKSdYNnOh+Wvn031id96d9S6XnHQJ7179LrWOrRV1rL2yZg20aAHTpsEH\nH0CdOlEnkiRJkpSTCkQdQDHZYTaDFw7m0gGXct6b53HYgYcxu/ls3v1n3iqaYQjvvw9Vq0LZsjBj\nhkVTkiRJSkZONiO2afsm3p7xNt0nduegwgeRWiuVT6//lAMLHRh1tL22ahU0bw4ZGfD551Ar73Rk\nSZIkSXFm2YzIovWL6DGxB2/NeIsLyl1A33/0pU7ZOgTBH04MzvXCEAYMgDZt4M474d134cC815Ul\nSZIkxZFlMweFYciIxSPoNrEbY5eNpUn1Jky7Zxpli5eNOto+W7Ei9jiTpUth0CCoWTPqRJIkSZJy\nA8tmDtiSuYUBMwfQbWI3wjCkVa1WvHv1uxQtknePZg1D6NcP/vWv2NbZjz+GInnnkFxJkiRJCWbZ\nTKBlvyyj56SevD7tdc4+9mxebvAy9crXy5NbZX/rhx/g7rvhp5/gm2+gevWoE0mSJEnKbTyNNs7C\nMGT0D6O59sNrqd67Ott3bmf8neP54sYvuPCEC/N00QxD6N07tlW2bl2YMMGiKUmSJOnPOdmMk207\nt/H+7PfpOqErm3dsplWtVrxxxRsUO6BY1NHiYvFiuOsu2LQJ0tOhSpWoE0mSJEnKzYIwDBO7QBCE\niV4jSj9u+pFXJ79Knyl9qF6qOqm1UmlwUgMKBPljaJydDa+8AmlpsfszW7eGQv4VhSRJkqRdgiAg\nDMM/bOG0NuyjiSsm0nVCVwYvHMyNp97IyNtGckrJU6KOFVcLF8YeZZKVBWPGQMWKUSeSJEmSlFc4\n2dwLO7J28PHcj+k6oSurf11Ny7Na0uT0JpQ4sETU0eIqKwu6doWnn4b27aFlSyhYMOpUkiRJknIj\nJ5v7Yc2va+g9pTevTn6VikdUpF2ddlx+8uUULJD/GlhGBjRpAoULw/jxcNJJUSeSJEmSlBfljxsL\nE2T6qunc8fkdnNzjZJZuWMrgxoMZcdsIrqx0Zb4rmjt3wnPPQZ060LgxjBxp0ZQkSZK075xs/s7O\n7J18nvE5XSd0ZfGGxTQ/ozkLWy7kyIOPjDpawsyeDXfcAcWLw6RJUL581IkkSZIk5XWWzV3WbV3H\na1Nfo+eknhx36HG0qtWKqypdReGChaOOljCZmfDss9CtG3TqBE2bQh5+DKgkSZKkXCTpy+acn+bQ\nbUI3Ppj7AVdUvIJPrvuEmqVrRh0r4aZPj00zS5WCqVPhuOOiTiRJkiQpP0nKspkdZjNwwUC6TujK\nnDVzaFazGRn3ZXD0IUdHHS3hduyAp56CXr3g+efhttucZkqSJEmKv6Qqm79s+4V+0/vRY2IPDjvo\nMFJrpXJdlesoUrBI1NFyxOTJsWlm+fKxyWbp0lEnkiRJkpRfJUXZXPDzArpP6M6AWQNocFID3rnq\nHWofW5sgSUZ627ZBWhr06wddusCNNzrNlCRJkpRY+bZshmHI0H8PpeuErkxeOZmmNZoy695ZlDm0\nTNTRctS4cbHnZlapAjNnwtH5f6ewJEmSpFwgCMMwsQsEQZjoNX5r847NvD3jbbpP7E6RgkVIrZXK\njafeyEGFD8qxDLnBli3w2GPw7rux02avvTbqRJIkSZLyoyAICMPwD3sn881kc/H6xfSY2IM3Z7zJ\n+cefT6+GvTjv+POSZqvsb40aBXfeCTVrxqaZJUtGnUiSJElSssnTZTMMQ9KXpNNtYjdGLR3FHdXv\nYMrdUyhXolzU0SKxeTO0awcffwyvvAKNGkWdSJIkSVKyypNlc2vmVgbMGkC3Cd3Ymb2TVrVa0f+q\n/hQtUjTqaJEZMQLuugvq1IHZs+Hww6NOJEmSJCmZ5al7NpdvXM4rk17htamvcVaZs0itlcpFJ1yU\nlFtl/2PjRnjoIRg4MPbszIYNo04kSZIkKZnk6Xs2s7KzuPnTm/n6+6+5pdotjGkyhgpHVIg6VuS+\n/hruvhsuvhhmzYISJaJOJEmSJEkxeWay+VnGZ9QrX49DDzg0Dqnytg0boE0bGD4c+vSB+vWjTiRJ\nkiQpWe1uslkgijD7olGlRhZN4Kuv4NRT4YADYtNMi6YkSZKk3ChPbKMVrFsHqakwdiy88w5ccEHU\niSRJkiRp9/LMZDOZffppbJp5+OGx52ZaNCVJkiTldk42c7E1a6BlS5g6FT74IPZYE0mSJEnKC5xs\n5kJhCO+/D1WrwrHHwvTpFk1JkiRJeYuTzVxm1Spo3hzmzYPPPoPataNOJEmSJEl7z8lmLhGG0L8/\nnHYaVKwI06ZZNCVJkiTlXU42c4EVK6BZM1iyBAYOhDPOiDqRJEmSJO0fJ5sRCkPo1w9OPx1q1IAp\nUyyakiRJkvIHJ5sR+eEHuPtu+OknGDoUqlePOpEkSZIkxY+TzRwWhtC7N9SsCXXrwoQJFk1JkiRJ\n+Y+TzRy0eDHcdRds2gTp6VClStSJJEmSJCkxnGzmgOxs6NEDzjwTGjSAsWMtmpIkSZLyNyebCfb9\n93DnnZCZCaNHQ6VKUSeSJEmSpMRzspkgWVnQuXPsWZmNGsGoURZNSZIkScnDyWYCZGRAkyZQuDCM\nHw8nnRR1IkmSJEnKWU4242jnTnjuOahTB266CUaOtGhKkiRJSk5ONuNk9uzYNPPQQ2HSJChfPupE\nkiRJkhQdJ5v7KTMTnnoKLrgg9liTb76xaEqSJEmSk839MH063HEHlCoFU6fCccdFnUiSJEmScgcn\nm/tgxw7o0AHq14fUVBg0yKIpSZIkSb/lZHMvTZ4cm2aWLx+bbJYuHXUiSZIkScp9nGzuoW3boF07\naNgQHn4YPv/coilJkiRJu+Nkcw+MGxc7abZyZZgxI3aPpiRJkiRp9yybf2HLFnjsMRgwALp1g2uv\nhSCIOpUkSZIk5X5uo92NUaOgenVYsQJmzYLrrrNoSpIkSdKecrL5O7/+Grs38+OPoUcPuOqqqBNJ\nkiRJUt7jZPM3Ro6EqlVhw4bYNNOiKUmSJEn7xskmsGkTPPQQfPUV9OoVO3FWkiRJkrTvkn6yOXQo\nnHoqZGbGppkWTUmSJEnaf0k72dywAdq0gWHDoG9fqF8/6kSSJEmSlH8k5WRz4MDYvZlFisSmmRZN\nSZIkSYqvpJpsrlsHqakwZgy89RbUqxd1IkmSJEnKn5Jmsvnpp7F7Mw87DGbOtGhKkiRJUiLl+8nm\nmjXQsiVMmQLvvw9160adSJIkSZLyv3w72QxD+OADqFYNjj0WZsywaEqSJElSTsmXk83Vq6F5c5g7\nN7Z9tnbtqBNJkiRJUnLJV5PNMIQBA2LTzJNPhmnTLJqSJEmSFIV8M9lcuRKaNYPFi2OPNjnjjKgT\nSZIkSVLyyvOTzTCEfv2genU4/fTYQUAWTUmSJEmKVp6ebC5bBnffDatWwdChscIpSZIkSYrefk02\ngyB4PQiC1UEQzIxXoL+Snp4OxKaZffpAjRpw7rkwcaJFMz/5z/us/M/3Ojn4PicH3+fk4XudHHyf\nk0ci3+v93UbbD2gQjyB7Ij09ncWL4aKLoG9fGDkS2reHwoVzKoFygr+5JQ/f6+Tg+5wcfJ+Th+91\ncvB9Th65tmyGYTgaWB+nLH8pOzs2wTzzTKhfH8aNg1NPzYmVldOWLFkSdYRcLT/95p+b3+uof5xz\ncv1Er5WI9znq90d5jz9n/lp++fHJ7f8fUefLT3+2JOL6Ub8/+VGeOCAoMxMuvBBmzoTRo+Ff/4JC\nefpuU/2V3FxAcoP89Bthbn6vo/5xzk9fEFg2lRv4c+av5Zcfn9z+/xF1vvz0Z4tlM28IwjDcvwsE\nwfHAl2EYVtvNx/dvAUmSJElSrhaGYfD770v4fPDPFpUkSZIk5W/x2EYb7PpHkiRJkiRg/x998i4w\nFjg5CIIfgiC4Iz6xJEmSJEl52X7fsylJkiRJ0u/lidNogyC4JAiCjCAIFgRB8K+o8ygxgiB4PQiC\n1UEQzIw6ixInCIJjgyAYEQTB3CAIZgVB0CrqTEqMIAgOCIJgQhAE03a9149HnUmJEwRBgSAIpgZB\n8EXUWZQ4QRAsCYJgxq5f1xOjzqPECIKgeBAEHwZBMC8IgjlBENSKOpPiLwiCk3f9Wp6669+/xPvr\nslw/2QyCoACwALgQWAlMAm4IwzAj0mCKuyAI6gCbgbd3d7qx8r4gCEoBpcIwnB4EwSHAFOBKf03n\nT0EQHByG4ZYgCAoCY4BWYRj6BWo+FARBa6AmcGgYhldEnUeJEQTBIqBmGIY58px1RSMIgjeBb8Mw\n7BcEQSHg4DAMN0YcSwm0q3MtB2qFYbgsXtfNC5PNs4CFYRguDcMwE/g/4MqIMykBwjAcDfiHVz4X\nhuGqMAyn7/r2ZmAeUCbaVEqUMAy37PrmAcROQM/df8OpfRIEwbHAZcBrUWdRwgXkja8ftY+CICgG\n1A3DsB9AGIY7LZpJ4SLg3/EsmpA3frMoA/z2f3o5fmEq5QtBEJQDqgMTok2iRNm1tXIasAr4JgzD\nSVFnUkJ0AdriXyYkgxD4OgiCSUEQNI06jBLiBGBtEAT9dm2v7BMEwUFRh1LCXQ+8F++L5oWy+WeP\nVfEPMymP27WF9iMgddeEU/lQGIbZYRieDhwL1AqCoHLUmRRfQRA0BFbv2rHg49Dyv3PCMDyD2CT7\nvl23wCh/KQTUAHqGYVgD2AI8HG0kJVIQBIWBK4AP433tvFA2lwNlf/PfxxK7d1NSHrXr/o+PgHfC\nMPw86jxKvF1bsNKBSyKOovg7F7hi17187wEXBEHwdsSZlCBhGK7a9e81wKfEbndS/rIcWBaG4eRd\n//0RsfKp/OtSYMquX9dxlRfK5iTgpCAIjg+CoAhwA+BJd/mXfyueHN4A5oZh2DXqIEqcIAiODIKg\n+K5vH0TsfhAPgspnwjB8JAzDsmEYnkDsz+gRYRjeGnUuxV8QBAfv2pVCEARFgfrA7GhTKd7CMFwN\nLAuC4ORd33UhMDfCSEq8G0nAFlqIjclztTAMs4IgaAEMJVaOXw/DcF7EsZQAQRC8C6QARwRB8APw\n+H9uTlf+EQTBuUBjYNaue/lC4JEwDIdEm0wJcAzw1q4T7goA74dhOCjiTJL23dHAp0EQhMS+hhwQ\nhuHQiDMpMVoBA3Ztr1wE3BFxHiXIb/4y+O6EXD+3P/pEkiRJkpT35IVttJIkSZKkPMayKUmSJEmK\nO8umJEmSJCnuLJuSpP/X3v2DZnWFcRz//tSiDlbqYCkU4qDoIBYiNNA6Owudiqig1ME/XTJl6Fzo\nKkgIJQjt5FTQQclQsA3UwWhQFCfBpeCkCFIF+zh4hEv6pknwkgTf72c673POuefed3t47j1HkiSp\ndyabkiRJkqTemWxKkiRJknpnsilJGkpJRpLcXaRvKsm+1p74n2tcTfJxH2tKkvSh8ZxNSdJQSjIC\nXKmqA0uMe15V21ZzTUmSPgRWNiVJw+yjJJeSzCe5nGQLQJLfk4wm+RHYmmQuyS8LJyd5lGRHq1je\nbxXRe0muJdncxhxMcifJLHC2M3dDkp+S3Gz937X4kSQzrf1ZkodJdq7GnyFJUp9MNiVJw2wvMFlV\nXwDPgTPdzqqaAF5U1WhVHRswv/t60G7gQlXtB54B37T4NHCuqr5eMPcU8LSqxoAvgdNJRqrqN+Dv\nJGeBKeCHqnryfo8pSdLqM9mUJA2zx1X1V2v/Chxa4fx02o+q6t33mLeAXe17zu1V9WeLd6ujh4Hj\nSW4DN4EdwJ7W9z0wAfxTVZdXeE+SJK0Lm9b6BiRJWkMLNy4YtJFBBsQGedlpvwa2LDE3wPmqmhnQ\n9znwL/DpMteWJGndsbIpSRpmI0nGWvtb4I8BY14l2biMa/0nsayqZ8DTJF+10NFO93XgTJJNAEn2\nJNnafk+3+3mQZHyZzyJJ0rpisilJGmb3gRNJ5oFPgMkW71Y4p4C7gzYIWjBuse3dTwIX2wZBLzrx\nn9v6c+04lEnevnE0AdyoqllgHDiVZO/KHkuSpLXn0SeSJEmSpN5Z2ZQkSZIk9c5kU5IkSZLUO5NN\nSZIkSVLvTDYlSZIkSb0z2ZQkSZIk9c5kU5IkSZLUO5NNSZIkSVLv3gAYhICGyYI9XAAAAABJRU5E\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x72df4c700198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_run('Linearity test run', *fetch_runs('test102'))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kVefVV9MZyp13hnHjYOuts04kNaxCdyrnA1Uxxm/qM4yk7HXpAhdckKbVnXBC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\nbgp9+8Laa1tQSpJUkyFD0lCeu+6yoJQ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      "text/plain": [
       "<matplotlib.figure.Figure at 0x72df4c863080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def simulate_bitslide(data):\n",
    "    nbits = len(data)\n",
    "    return [ sum(data[n] if i&(2**n) else 0 for n in range(nbits)) for i in range(2**nbits) ]\n",
    "\n",
    "info, data, (zero_cal, _stdev) = fetch_run(['test103'])\n",
    "data = np.array(next(iter(data.values())))[:,1] - zero_cal\n",
    "plot_bitslide(simulate_bitslide(data))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
