Exploratory Analysis.ipynb

{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import numpy as np\n",
      "import pandas as pd"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Read the datasets created earlier:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "top_frame = pd.read_pickle(\"top_frame\")\n",
      "data = pd.read_pickle(\"refined_dataset_unit_cost\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Here are the top other-side countries/routers for the observations in a complete pooling setting (i.e. without considering a reference country indicator)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig = plt.figure(figsize=(16, 12))\n",
      "ax1 = fig.add_subplot(221)\n",
      "ax1.hist(top_frame['speed','sum','country','value1'],bins=20)\n",
      "ax1.set_title(\"max. precentage traffic (Country)\")\n",
      "ax2 = fig.add_subplot(222)\n",
      "ax2.hist(top_frame['speed','sum','region','value1'],bins=20)\n",
      "ax2.set_title(\"max. precentage traffic (Region)\")\n",
      "ax3 = fig.add_subplot(223)\n",
      "ax3.hist(top_frame['speed','sum','pop','value1'],bins=20)\n",
      "ax3.set_title(\"max. precentage traffic (PoP)\")\n",
      "ax4 = fig.add_subplot(224)\n",
      "ax4.hist(top_frame['speed','sum','rtr','value1'],bins=20)\n",
      "ax4.set_title(\"max. precentage traffic (Router)\")\n",
      "fig, (ax5, ax6) = plt.subplots(figsize = (16,6),nrows=1, ncols=2)\n",
      "top_frame['speed','sum','country','label1'].value_counts().plot(kind=\"bar\",ax=ax5).set_title(\"Top Country\")\n",
      "top_frame['speed','sum','region','label1'].value_counts().plot(kind=\"bar\",ax=ax6).set_title(\"Top Region\")\n",
      "fig = plt.figure(figsize=(16, 6))\n",
      "top_frame['speed','sum','pop','label1'].value_counts().plot(kind=\"bar\",figsize = (16,6)).set_title(\"Top PoP\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 3,
       "text": [
        "<matplotlib.text.Text at 0x10a6c9950>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAA64AAALICAYAAAB/3K2BAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wMoLj6Ht7mTIAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108d97f90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAA6YAAAG/CAYAAABLxMqRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xt0VOW9//FPDAlpkEspRIm3AEGpaEHwiBcKaoIiiicg\nKEitrcfaYy+r7Vp11daeRS9n2XNE266eKqv2pm0tXglKirQQ28B4IUJqiiIgjYIlQNRAgEIAk/37\ng2b/kpBJwsz+7pln9vu1Fmvt/WTymYc8k9l5Zu/vs7M8z/MEAAAAAECKnJTqDgAAAAAAoo2JKQAA\nAAAgpZiYAgAAAABSiokpAAAAACClmJgCAAAAAFKKiSkAAAAAIKWYmAIAAABpaPjw4anuAhCaPqnu\nAJBKn/jEJ1RSUiJJeuGFF3TllVdKkpqbm7Vo0aJQ+1JXV6cHHnhAffv2VU5OjiTp/fff1y9/+ctQ\n+yFJCxcu1O23366PfvSjoT83AADtpcux+n/+53+0ePFi//lbWlpUUFCgb3/722bPaZkNpBsmpoi0\nyy67TD/60Y8kSXfeeWeH7TDt2bNH3/jGN/Too48qPz9fkrR//35NmjQp1H60OXjwoI4cOZKS5wYA\noL10OVbffffd2rZtm//8krR06VL97ne/06c+9SmT5/yP//gPk1wgHTExRaQVFBT02L5jxw4tXLhQ\nJ5107Mr3vLw8fetb39LJJ5+s2tpa/fd//7fOO+88vfXWW+rXr5+ys7M1ZMgQ/dd//Zd/5rMnjzzy\niO655x5/UipJ/fv317PPPtvhcb/5zW+0du1a9e3bV4cOHdKcOXP8T25feOEF/e///q++973vaeLE\nidq6daseeugh7dixQ0888YQkadmyZbrvvvt06aWX6uDBg/I8T4MHD9b3vvc9/zm+973vacWKFaqv\nr/f7M2nSJN1www3+Y/7v//5PFRUVWrBggV588UVt3bpVLS0t+tKXvqRx48bpt7/9re677z4tWLBA\ns2fPliT98Ic/1C9+8Qv98pe/1CWXXNKrnwsAAOlyrO7KNddco2984xv+xPTDDz/UT3/6U9XX16u1\ntVXNzc265pprdO211/rf89Zbb+mHP/yhcnNz9f7776u0tFQ//elPdeedd+r222+XJD355JN6+eWX\n9cILL6i2tva4521tbdVPfvIT1dXVKTs7W83Nzfr85z+vcePGSZLefPNN3Xbbbbrmmmv0j3/8Q3l5\neTp06JAeeOABDRgwIOH/L2DKA+B5nuf953/+53Fthw4d8j71qU95TU1Nftvbb7/t3X777f7+X/7y\nF6+oqMhraGjw21566SXvm9/8ZlLP3dmjjz7q/eY3v+nQ9u1vf9t75ZVX/P1HHnmkw35X2TNmzPDW\nrVvn7z/88MNeVVVVh8d85zvf8Xbv3t1tfx555BFv0qRJ3urVq7v8+uc+9znv4MGD/v6mTZu8e++9\nt9tMAAC6k8pjdefnb25u9r7+9a97L774ot+2cOFCr66ursP3PPjgg96aNWs8z/O8AwcOeJ/+9Ke9\n5uZm/+tf/epXvdtuu63H52vv3nvv9V544QV//+jRo94XvvCFDs/9ne98x/vZz37m72/ZssX77ne/\n25v/JpASLH4EdCMWi2nWrFkdPl0sKirS8OHDtWPHDr/tq1/9qoYOHervX3LJJdq9e3evnycrK0st\nLS3dPubll1/WLbfc0qFtwYIFeuyxx3r9PJJ02mmnacKECf7+2WefrZ07dx73OM/zesy699579clP\nfrLLr33+85/Xz372M3//oYce0he+8IUT6isAAD0J61gtSQ0NDfra176mz3/+85owYYLmz5+vSy+9\n1P/6smXL9JOf/ERf+9rX/H+bN2/W3/72N7+vs2fPVt++ff3vWbBgQa+Oue1t375dV1xxhb/fp08f\n3XPPPfr973/f4XFlZWX+9qhRo7o83gPpgkt5gR7EO1i0b29tbT3u67m5ub1+jjFjxujll19OWU1p\norr7P06YMEGLFi3SkSNHtHv3bvXv318DBw4MsXcAgKgI41gtHbt8uK3G9M9//rMee+wx//JZSerX\nr1+HGtTOsrKyjuvHiU5K4/E877isoLKBMHDGFOjGpEmTtGTJEjU1Nflt27ZtU11dnU4//XRJx970\nf/7zn+u9997zH/PSSy9p2LBhvX6e22+/XYsWLdL27dv9tubmZn3pS19SY2OjpGOf7P7mN7/p8H3f\n//73dfPNN/v7gwcP7tCP9evX+98fT1cHrQEDBuiDDz7o8JjOOb052H32s5/VI488ogcffFBf/vKX\ne3w8AAAnKqxjdWdXXHGFrrnmmg4T0SlTpuihhx7q8LjGxkatWbNGkvTJT35S5eXlOnz4sP/1++67\nz6+N7a0zzjhDL7zwgr//4Ycf6gc/+IHmz5+fyH8FSAtZHh+lIOIWLlyo+vp6fwn6OXPmdLgs5x//\n+Ifuu+8+ZWdnKysrS3379tU999yjk08+WZJUVVWlDRs26M0335TnecrJydHQoUP1zW9+U9nZ2b3u\nR2Njo37wgx/oww8/lCQdOXJEX/7ylzV69Gj/MY888oheffVV5ebmqrm5WTfccINKS0v9r3/44Yf6\n0pe+pH79+uno0aMqLCzUc889pwULFujqq6/Www8/rAcffFCf+cxn9LWvfU3Nzc267bbbdODAAf36\n17/Wxz72MUnHVgm+++671a9fPx08eFAnnXSSbr31Vk2cOFFNTU36/ve/rw0bNmjw4ME69dRTddJJ\nJ+lb3/qW//3tfeYzn9HQoUO1cOHCExsYAAD+JR2O1W23iykpKdFXvvIVnXXWWZKke+65Rx/5yEf8\nW7v8+te/1iuvvOIvONSvXz99/etf12mnnSZJ2rJli374wx8qLy9P+/fv10033aTy8nL/1jc7duzQ\nAw88IM/zOtwe5+KLL9ZNN90k6djZ3x/96Efatm2b+vTpo0OHDulzn/ucxo8fL+nYgoj33HOPJkyY\noPvuu0/5+fn60Y9+pEcffVQ///nP9W//9m/JDgkQuB4npq2trfI874T+wAaipKqqSrt27fIPFujo\nW9/6lu644w4VFRWluisAgIhK92P1nXfeGfr904F0022N6YoVK1RXV6eysjIVFhb67XV1dVq/fr36\n9u2radOmKTc3V7t27VJlZaWys7M1ZcoU/9KIeO1ApuCig/j27dunffv2MSkFQnLo0CH9+Mc/1q23\n3uoft5ctW+YvrjZy5Eidf/75kjg+I1rS+Vj9l7/8RWPGjEl1N4CU63ZiOm3aNG3cuLFD2969e7Vz\n507NmTOnQ3t1dbV/XfvSpUv9VcDitQOZ4LXXXtODDz6ogwcPat26dVqwYIF/2VCUPfPMM4rFYnrr\nrbfUp08fvfTSSx0uuQJgo6qqSldffXWHtry8PE2dOvW4x3J8RlSk47F60aJF2rJli6Rj9y1vfz9x\nIKpOeFXe1157TYMGDdKSJUt03nnn6eyzz5Yk5efn+49pv8JZvHYgE4wbN05PPfVUqruRdm644Qbd\ncMMNqe4GECl79uxRfn6+8vLyOrS3tLRoyZIl8jxPw4cP92vQOD4jKtLxWH3nnXemugtA2jnhiWlD\nQ4MkadasWfrDH/6g4uJinXTSSR0ukcjJyfG347UDAIDgxGIxXXvttdq0aVOH9mnTpvnbzz//vL/N\n8RkAkE4Suo/p5MmTJUmnnXaaGhsbNWTIEL9+RTp2j6Y28dq78qc//YlFlgAAgRk0aJAmTJiQ6m6E\nYvfu3XruuefU0NCgoqKiDmtDtGk/Ae3t8ZljMwAgSPGOzSc8MT377LNVV1en4uJi7dmzxy/WPnTo\nkKRjn8C2bXfX3pXs7Gz/EiMAAJJVU1OT6i6E5vbbb5ckbdy4UYMGDfLbt23b5t/Worm52W/v7fGZ\nYzMAIEjxjs3d3s131apVisViWrVqlVavXi3p2HX6r732msrLy5WTk+N/+jpx4kQtXrxYixcv1sSJ\nE/2MeO0ITiwWS3UXEDLGPHoYc/RGY2OjYrGYXn/9db9t27Zteuqpp/TUU0/pnHPO8dutj89Wr1nX\nci2zybXPJtc21zKbXPvsoHO7PWNaWlraZfvs2bOPayssLNS8efN63Q4AAII1ePBg3XHHHR3a2spv\nOuP4DABIJ1leGt3YqbKyksuFAACBqampUUlJSaq74TSOzQCAIMU7Nnd7KS8AAAAAANaYmGYAas+i\nhzGPHsYcrnGlpsk61zKbXPtscm1zLbPJtc8OOpeJKQAAAAAgpagxBQBkLGpMk8exGQAQJGpMAQAA\nAABpiYlpBqD2LHoY8+hhzOEaV2qarHMts8m1zybXNtcym1z7bGpMAQAAAAAZhRpTAEDGosY0eRyb\nAQBBinds7pOCvgAAAMft3HdYDQeOJPz9BSfnatiAvgH2CADgMi7lzQDUnkUPYx49jDnSTcOBI7pr\n+daE/yU6qXWlViqMbHLts8m1zbXMJtc+mxpTAAAAAEBGocYUAJCxqDFNXrxjc239ft21fGvCuQun\nF2tsYf9kugYAcBD3MQUAAAAApCUmphmA2rPoYcyjhzEHjnGlViqMbHLts8m1zbXMJtc+mxpTAAAA\nAEBGocYUAJCxqDFNHjWmAIAgUWMKAAAAAEhLTEwzALVn0cOYRw9jDhzjSq1UGNnk2meTa5trmU2u\nfTY1pgAAAACAjEKNKQAgY1FjmjxqTAEAQaLGFAAAAACQlvqkugPpYue+w2o4cCTV3UhIU1OTBg4c\nmOpuJKTg5FwNG9A31d1wTiwW06RJk1LdDYSIMQeOsfpdsPwdc63PruVaZpNrm2uZTa59dtC5TEz/\npeHAkaQuSUq991LdgYQsnF7MxBQAAACIOGpM/yXZWhkkhhojAJaoMU0eNaYAgCBRYwoAAAAASEtM\nTAEHcU/L6GHMgWNcuR9fGNnk2meTa5trmU2ufTb3MQUAAAAAZBRqTP+FGtPUoMYIgCVqTJNHjSkA\nIEjxjs2sygsAQIY4dOiQfvzjH+vWW29VYWGhJGnXrl2qrKxUdna2pkyZomHDhnXbDgBAKnApL+Ag\n6g2jhzFHb1RVVenqq6/u0FZdXa358+dr7ty5Wrt2bY/t6c6VWqkwssm1zybXNtcym1z7bGpMAQDA\ncfbs2aP8/Hzl5eV1aM/Pz/e3c3Nze2wHACAVmJgCDpo0aVKqu4CQMeboSSwW6/J10n4piZycnB7b\n053V74Ll75hrfXYt1zKbXNtcy2xy7bODzu2xxrS1tVWe5yk7OzvQJwYAAMHZvXu3nnvuOTU0NKio\nqMivMW1pafEfk5WV5W/Ha+9K+0lv26Vb/UeMDaTfbXmd89lnn3322c/M/fZX7LTX7aq8K1asUF1d\nncrKyvwDnGS3uAKr8kYPqzImJt6ZEWQuxjwxUVyVd+PGjRo0aJB/fC4vL9fMmTPleZ4qKio0Y8aM\nbts7S7dVea1+Fyx/x1zrs2u5ltnk2uZaZpNrn51obkKr8k6bNk0bN248rr27xRUkaenSpSorK+u2\nHQAABKuxsVGxWKzDGdOJEydq8eLF8jxPpaWl/mPjtQMAkAonfLsYFlcAUo8zZ9HDmKM3Bg8erDvu\nuKNDW2FhoebNm3fcY+O1pztXaqXCyCbXPptc21zLbHLts4POPeHFj6KyuAIAAAAAIBwnPDFtW1wh\nFovp9ddf99uDWFxB6ng/nFgsFuo+wtfU1ORvhz3eLu+3badLf9i331+0aFFa9ce1fWQOq3G1fL24\n1mfXci2zybXNtcwm1z476NxuFz+Sjl9EIV57sosrSCx+FEUsfpSYWIyFcKKGMU9MFBc/ChqLH6Vv\nNrn22eTa5lpmk2ufnWhuvGNztxPTVatWqa6uTnl5eSoqKtLkyZMlHVtc4emnn1ZRUZGuuuoqSVJ9\nfb2qqqr8RRQKCgq6be8KE9PoYWIKwBIT0+Sl28QUAOC2hFbljbdKXxQWVwAAAAAAhOOEa0wBpB61\nc9HDmAPHuFIrFUY2ufbZ5NrmWmaTa58ddC4TUwAAAABASvW4+FGYqDGNHmqMAFiixjR5YdeY7tx3\nWA0HjiScW3ByroYN6Jvw9wMAbCVUYwoAABCmhgNHkp7wMjEFAPdwKS/gIOoNo4cxB2xR3+VurmU2\nuba5ltnk2mdTYwoAAAAAyChMTAEHWd2AGemLMQdsWf6OWWWTa59Nrm2uZTa59tlB5zIxBQAAAACk\nFBNTwEHUG0YPYw7Yor7L3VzLbHJtcy2zybXPpsYUAAAAAJBRmJgCDqLeMHoYc8AW9V3u5lpmk2ub\na5lNrn02NaYAAAAAgIzCxBRwEPWG0cOYA7ao73I31zKbXNtcy2xy7bOpMQUAAAAAZBQmpoCDqDeM\nHsYcsEV9l7u5ltnk2uZaZpNrn02NKQAAAAAgozAxBRxEvWH0MOaALeq73M21zCbXNtcym1z7bGpM\nAQAAAAAZhYkp4CDqDaOHMQdsUd/lbq5lNrm2uZbZ5NpnU2MKAAAAAMgoTEwBB1FvGD2MOWCL+i53\ncy2zybXNtcwm1z6bGlMAAAAAQEZhYgo4iHrD6GHMAVvUd7mba5lNrm2uZTa59tnUmAIAAAAAMgoT\nU8BB1BtGD2OO3njppZdUXl6u8vJyrV+/XpK0bNkyLV26VEuXLtWGDRv8x+7atUuPPfaYHn/8ce3c\nuTNVXU4b1He5m2uZTa5trmU2ufbZQef2CTQNAACkzKWXXupv/+lPf5Ik5eXlaerUqcc9trq6WvPn\nz5ckLV26VGVlZeF0EgCALjAxBRxEvWH0MOborXfeeUfPPPOMZs6cKUlqaWnRkiVL5Hmehg8frvHj\nx0uS8vPz/e/Jzc1NSV/TCfVd7uZaZpNrm2uZTa59dtC5TEwBAMggRUVF+uIXv6hnn31WI0aM0LRp\n0/yvPf/88/6253n+dk5OTqh9BACgMyamgINisRhn0CKGMceJyMvLU//+/Y9rbz8BbWlp8bezsrK6\nzWv/+murKeo/YmwQXfXz2vKbmpqSymtqalKsrva4/va039bW28efyP6GDRt05513BpbXua9R72/7\nzKDHb9GiRTr//PPpr1F/XXy9udbf9pnp8nprf8VOe1le+49MU6yystK/xChstfX7ddfyrSl57ihb\nOL1YYwuP/+MJ3WOSEj2MeWJqampUUlKS6m6EprGxUYMHD5Yk/eEPf9C1116rbdu26ayzzpIkVVRU\n6LrrrpMklZeXa+bMmfI8TxUVFZoxY0aXmfGOzckeN+O9/1vl9sTyd8wqm1z7bHJtcy2zybXPTjQ3\n3rGZM6aAg5igRA9jjt548cUXdfjwYUnShRdeKEnatm2bqqurJUnjxo3zHztx4kQtXrxYnueptLQ0\n/M6mGeq73M21zCbXNtcym1z7bGpMAQBAl7o66zl58uQuH1tYWKh58+ZZdwkAgF7p8T6mra2tHepQ\nAKQe97SMHsYcsMU9BN3Ntcwm1zbXMptc++xQ72O6YsUK1dXVqaysTIWFhZKkN954Q5s3b1Zra6su\nvvhinX766ZKO3ai7srJS2dnZmjJlioYNG9ZtOwAAAAAAUg8T02nTpmnjxo0d2j744APNmjVLkrR8\n+XJ/YhrvRt3cwBsIHvWG0cOYA7ao73I31zKbXNtcy2xy7bODzu3xUt7O4tWqxLtRNzfwBgAAAAB0\n54Qnpm1Wrlypiy66yN+Pd6NubuANBI96w+hhzAFb1He5m2uZTa5trmU2ufbZQecmNDGtqqrSqFGj\nNGTIEL8t3o26T+QG3gAAAACA6DnhiemaNWt0yimnqKioqEP7oUOHJB07Q9q23V17PO1n3rFYLNR9\nhK+pqcnfDnu8Xd6fNGlSWvWH/XDen9KpP67tAz2hvsvdXMtscm1zLbPJtc8OOjfLa3+tbSerVq1S\nXV2d8vLyVFRUpNGjR+tXv/qVRo8eLUnav3+/brnlFklSfX29qqqq/Bt1FxQUdNvelcrKSo0fPz7I\n/1+v1dbv113Lt6bkuaNs4fRijS3sn+puAMhQNTU1KikpSXU3nBbv2JzscTPe+79VLgAgPcQ7Nnd7\nxrS0tFR33HGHPv3pT2vy5MkqKCjQ3XffrbKyMpWVlfmTUun/36j75ptv7jD5jNcOIHGcCYoexhyw\nZfk7ZpVNrn02uba5ltnk2mcHnZvw4kcAAAAAAASBiSngIO5pGT2MOWCL+i53cy2zybXNtcwm1z47\n5fcxBQAAAAAgSExMAQdRbxg9jDlgi/oud3Mts8m1zbXMJtc+mxpTAAAAAEBGYWIKOIh6w+hhzAFb\n1He5m2uZTa5trmU2ufbZ1JgCAAAAADIKE1PAQdQbRg9jDtiivsvdXMtscm1zLbPJtc+mxhQAAAAA\nkFGYmAIOot4wehhzwBb1Xe7mWmaTa5trmU2ufTY1pgAAAACAjMLEFHAQ9YbRw5gDtqjvcjfXMptc\n21zLbHLts6kxBQAAAABkFCamgIOoN4wexhywRX2Xu7mW2eTa5lpmk2ufTY0pAAAAACCjMDEFHES9\nYfQw5oAt6rvczbXMJtc21zKbXPtsakwBAAAAABmFiSngIOoNo4cxB2xR3+VurmU2uba5ltnk2mdT\nYwoAAAAAyChMTAEHUW8YPYw5YIv6LndzLbPJtc21zCbXPjvo3D6BpgEAgJR56aWXtHv3bknSmWee\nqQkTJmjXrl2qrKxUdna2pkyZomHDhklS3HYAAFKBiSngIOoNo4cxR29ceuml/vaf/vQnSVJ1dbXm\nz58vSVq6dKnKysq6bY8q6rvczbXMJtc21zKbXPtsakwBAEBc77zzjh544AEVFxdLkvLz8/2v5ebm\n+tvx2gEASAUmpoCDqDeMHsYcvVVUVKQvfvGLevXVVyVJnuf5X8vJyfG347VHFfVd7uZaZpNrm2uZ\nTa59NvcxBQAA3crLy1P//v0lSS0tLX57VlaWvx2vHQCAVKDGFHAQ9YbRw5ijNxobGzV48GBJ//+M\n6KFDh/z9tu3u2rsSi8X812DbJ+T9R4wNpM9teW35TU1NSeU1NTUpVld7XH9TvR/v/5vM/qRJk+iv\n8X5bW7r0J9P66+rrzbX+ptvrrX0pSXtZXvtreVKssrJS48ePT8lz19bv113Lt6bkuaNs4fRijS3s\nn+puAMhQNTU1KikpSXU3QrNs2TIdPnxYknThhReqqKhI9fX1qqqqkud5Ki0tVUFBgSTFbe8s3rE5\n2eNmvPd/q1wAQHqId2zmUl7AQdQbRg9jjt6YMWOGZs+erdmzZ6uoqEiSVFhYqHnz5unmm2/uMPmM\n1x5V1He5m2uZTa5trmU2ufbZ1JgCAAAAADIKE1PAQdQbRg9jDtjiHoLu5lpmk2uba5lNrn029zEF\nAAAAAGQUJqaAg6g3jB7GHLBFfZe7uZbZ5NrmWmaTa59NjSkAAAAAIKP0ODFtbW3tcBNuAKlHvWH0\nMOaALeq73M21zCbXNtcym1z77KBz+3T3xRUrVqiurk5lZWUqLCyUJO3atUuVlZXKzs7WlClTNGzY\nsITaAQAAAACQejhjOm3aNF1++eUd2qqrqzV//nzNnTtXa9euTbgdQOKoN4wexhywRX2Xu7mW2eTa\n5lpmk2ufnfIa0/z8fH87Nzc34XYAAAAAAKQEJqae5/nbOTk5CbcDSBz1htHDmAO2qO9yN9cym1zb\nXMtscu2zU34f0/YLIWVlZSXcDgAAAACAlMDE9NChQ5KOnQlt206kPZ721yrHYrFQ9xG+pqYmfzvs\n8XZ5v207XfrDvv3+okWL0qo/ru0DPbF8vVhlk2ufTa5trmU2ufbZQedmee2vte1k1apVqqurU15e\nnoqKijR58mTV19erqqpKnueptLRUBQUFknTC7V2prKzU+PHjA/0P9lZt/X7dtXxrSp47yhZOL9bY\nwv6p7oZzYrEYl3ZGDGOemJqaGpWUlKS6G06Ld2xO9rgZ7/3fKrcnlr9jVtnk2meTa5trmU2ufXai\nufGOzd1OTMPGxDR6mJgCsMTENHlRmZgCAMIR79h8wpfyAgAAAAAQJCamgIOonYsexhywRX2Xu7mW\n2eTa5lpmk2ufHXQuE1MAAAAAQEr1SXUHAJw4FsGJHsYcSM7OfYfVcOBI3K/3HzFWtfX7u80oODlX\nwwb0PeHnduUegq7mWmaTa5trmU2ufXbQuUxMAQBAxms4cCTpRQ4XTi9OaGIKAOgZl/ICDqLeMHoY\nc8BdrtR3uZprmU2uba5lNrn22dSYAgAAAAAyChNTwEHUG0YPYw64y5X6LldzLbPJtc21zCbXPjvo\nXCamAAAAAICUYmIKOIh6w+hhzAF3uVLf5WquZTa5trmW2eTaZ1NjCgAAAADIKExMAQdRbxg9jDng\nLlfqu1zNtcwm1zbXMptc+2xqTAEAAAAAGYWJKeAg6g2jhzEH3OVKfZeruZbZ5NrmWmaTa59NjSkA\nAAAAIKP0SXUHAJw46g2jhzFHb7zxxhvavHmzWltbdfHFF+v000/XsmXL1NLSIkkaOXKkzj//fEnS\nrl27VFlZqezsbE2ZMkXDhg1LZdczmiv1Xa7mWmaTa5trmU2ufXbQuUxMAQDIEB988IFmzZolSVq+\nfLlOP/105eXlaerUqcc9trq6WvPnz5ckLV26VGVlZaH2FQCA9riUF3AQ9YbRw5ijNyZPnnxcW0tL\ni5YsWaJnnnlGNTU1fnt+fr6/nZubG0r/osqV+i5Xcy2zybXNtcwm1z476FzOmAIAkGFWrlypiy66\nSJI0bdo0v/3555/3tz3P87dzcnLC6xwAAF3gjCngIOoNo4cxR29VVVVp1KhRGjJkyHFfaz8Bbas7\nlaSsrKxQ+hZVrtR3uZprmU2uba5lNrn22dzHFAAAdGnNmjU65ZRTVFRU5Ldt27bN325ubva3Dx06\nJOnYmdO27XjaX64Vi8UCvXyrc15TU1NSeU1NTaH2l3322Wef/cT2O8vy2l/Lk2KVlZUaP358Sp67\ntn6/7lq+NSXPHWULpxdrbGH/VHfDObFYjDNoEcOYJ6ampkYlJSWp7kYoGhoa9Ktf/UqjR4+WJO3f\nv1+33HKLVq9erd27d0uSxo0bp1GjRkmS6uvrVVVVJc/zVFpaqoKCgi5z4x2bkz1uxnv/T9fc7rJ7\nYvX7S64nWMRoAAAgAElEQVR9Nrm2uZbZ5NpnJ5ob79hMjSkAABmgoKBAd99993HtXS2IJEmFhYWa\nN2+edbcAAOgVLuUFHMSZs+hhzAF3uVLf5WquZTa5trmW2eTaZ1NjCgAAAADIKExMAQd1VziOzMSY\nA+6y+v0l1z6bXNtcy2xy7bODzmViCgAAAABIKSamgIOoN4wexhxwlyv1Xa7mWmaTa5trmU2ufTY1\npgAAAACAjMLEFHAQ9YbRw5gD7nKlvsvVXMtscm1zLbPJtc+mxhQAAAAAkFGYmAIOot4wehhzwF2u\n1He5mmuZTa5trmU2ufbZ1JgCAAAAADIKE1PAQdQbRg9jDrjLlfouV3Mts8m1zbXMJtc+O+jcPol8\n09tvv63169ertbVVl1xyic444wzt2rVLlZWVys7O1pQpUzRs2DBJitsOAAAAAICU4BnTTZs2afbs\n2brxxhu1YcMGSVJ1dbXmz5+vuXPnau3atf5j47UDSBz1htHDmAPucqW+y9Vcy2xybXMts8m1zw46\nN6Ezpi0tLWptbZXnefI8T5KUn5/vfz03N9ffjtcOAAAAAICU4BnT8847TwsXLtT999+vCy64QJL8\nCaok5eTk+Nvx2gEkjnrD6GHMAXe5Ut/laq5lNrm2uZbZ5Npnp8V9TGtra/WNb3xDd911l9atWyfp\n2FnUNllZWf52vPZ42v8HY7FYqPsIX1NTk78d9nizz75L+xs2bEir/ri2DwAA0luW1/6UZi89//zz\nuuaaazpsl5eXa+bMmfI8TxUVFZoxY4YkxW3vSmVlpcaPH5/gfyU5tfX7ddfyrSl57ihbOL1YYwv7\np7obADJUTU2NSkpKUt0Np8U7Nid73Iz3/p+uud1lAwB6L96xOaEa0+HDh2vJkiWSpDFjxkiSJk6c\nqMWLF8vzPJWWlvqPjdcOAAAAAICU4KW8o0eP1qxZszRr1iydc845kqTCwkLNmzdPN998swoKCvzH\nxmsHkDguUYwexhxwl9XvL7n22eTa5lpmk2ufHXRuQhNTAAAAAACCwsQUcBD3tIwexhxwlyv3EHQ1\n1zKbXNtcy2xy7bODzmViCgAAAABIKSamgIOoN4wexhxwlyv1Xa7mWmaTa5trmU2ufTY1pgAAAACA\njMLEFHAQ9YbRw5gD7nKlvsvVXMtscm1zLbPJtc+mxhQAAAAAkFGYmAIOot4wehhzwF2u1He5mmuZ\nTa5trmU2ufbZ1JgCAAAAADIKE1PAQdQbRg9jDrjLlfouV3Mts8m1zbXMJtc+mxpTAAAAAEBGYWIK\nOIh6w+hhzNEbb7zxhpYsWaKnn35a//jHPyRJu3bt0mOPPabHH39cO3fu9B8brx3Bc6W+y9Vcy2xy\nbXMts8m1z6bGFAAAdOmDDz7QrFmzNHv2bP3tb3+TJFVXV2v+/PmaO3eu1q5d6z82XjsAAKnAxBRw\nEPWG0cOYozcmT558XFt+fr6/nZub22M7gudKfZeruZbZ5NrmWmaTa59NjSkAAOjWypUrddFFF0mS\nPM/z23NycvzteO0AAKRCn1R3AMCJi8VinEGLGMYcvVVVVaVRo0ZpyJAhkqSWlhb/a1lZWf52vPau\ntH/9tdUU9R8xNpD+tuW15Tc1NSWV19TUpFhdbWj97c3+hg0bdOeddyb8/fH229d3BZHnan/bZwbZ\nX0latGiRzj//fPpr1F8XX2+u9bd9Zrq83tpfsdNeltf+I9MUq6ys1Pjx41Py3LX1+3XX8q0pee4o\nWzi9WGML+6e6G85hkhI9jHliampqVFJSkupuhGbNmjUaOnSoRo8e7beVl5dr5syZ8jxPFRUVmjFj\nRrftncU7Nid73Iz3/p+uud1l98Tq95dc+2xybXMts8m1z040N96xmTOmgIOYoEQPY46eNDQ06MUX\nX9To0aO1adMm7d+/X7fccosmTpyoxYsXy/M8lZaW+o+P147guVLf5WquZTa5trmW2eTaZwedy8QU\nAIAMUFBQoLvvvvu49sLCQs2bN6/X7QAApAKLHwEO4p6W0cOYA+lp577Dqq3f3+2/1W/+o9uv79x3\nOKHnduXehNa5ltnk2uZaZpNrnx10LmdMAQAAEtRw4Egva1ffi/uVhdOLNWxA3+A6BQAO4owp4CDq\nDaOHMQfQmSt1Y9a5ltnk2uZaZpNrnx10LhNTAAAAAEBKMTEFHES9YfQw5gA6c6VuzDrXMptc21zL\nbHLts4POZWIKAAAAAEgpJqaAg6g3jB7GHEBnrtSNWedaZpNrm2uZTa59NjWmAAAAAICMwsQUcBD1\nhtHDmAPozJW6Metcy2xybXMts8m1z6bGFAAAAACQUZiYAg6i3jB6GHMAnblSN2ada5lNrm2uZTa5\n9tnUmAIAAAAAMgoTU8BB1BtGD2MOoDNX6sascy2zybXNtcwm1z6bGlMAAAAAQEZhYgo4iHrD6GHM\nAXTmSt2Yda5lNrm2uZbZ5NpnB53bJ9FvrKur0/r169W3b19NmzZNjY2NqqysVHZ2tqZMmaJhw4ZJ\nknbt2tVlOwAAAAAAUoJnTPfu3audO3dqzpw5uv7665Wbm6vq6mrNnz9fc+fO1dq1a/3HxmsHkDjq\nDaOHMQfQmSt1Y9a5ltnk2uZaZpNrn50WNaavvfaa+vXrpyVLlmjLli2SpPz8fP/rubm5/na8dgAA\nAAAApAQnpg0NDdq7d69mzZqlt956S62trfI8z/96Tk6Ovx2vHUDiqDeMHsYcQGeu1I1Z51pmk2ub\na5lNrn122tzHdPLkyZKk0047TY2NjWppafG/lpWV5W/Ha4+n/SnhWCwW6j7C19TU5G+HPd7ss89+\ndPYBAEB6y/Lan9Lspddee00nn3yyiouL9ec//1mTJk1SRUWFZs6cKc/zVFFRoRkzZkiSysvLu2zv\nSmVlpcaPH5/4/yYJtfX7ddfyrSl57ihbOL1YYwv7p7obzonFYpxBixjGPDE1NTUqKSlJdTecFu/Y\nnOxxM977f7rmxsu2yu0Nq/cF13Its8m1zbXMJtc+O9HceMfmhFblHTdunJ5++mlt2LBBQ4cOVU5O\njiZOnKjFixfL8zyVlpb6j43XDgAAAACAlMTtYmbPnt1hv7CwUPPmzTvucfHaASSOM2fRw5gD6MyV\nujHrXMtscm1zLbPJtc9OmxpTAAAAAACCwMQUcBCLukQPYw6gM6v3BddyLbPJtc21zCbXPjvoXCam\nAAAAAICUYmIKOIh6w+hhzAF05krdmHWuZTa5trmW2eTaZ1NjCgAAAADIKExMAQdRbxg9jDl6o7W1\nVS0tLanuBkLiSt2Yda5lNrm2uZbZ5NpnB52b8O1iAABA+lixYoXq6upUVlamwsJCSdKyZcv8ierI\nkSN1/vnnS5J27dqlyspKZWdna8qUKRo2bFjK+g0AgMTEFHAS9YbRw5ijJ9OmTdPGjRs7tOXl5Wnq\n1KnHPba6ulrz58+XJC1dulRlZWWh9BG9t3PfYTUcONLtY/qPGKva+v1xv15wcq6GDeh7ws/tSj1a\nGNnk2uZaZpNrnx10LhNTAAAyVEtLi5YsWSLP8zR8+HCNHz9ekpSfn+8/Jjc3N1XdQzcaDhzRXcu3\nJpWxcHpxQhNTAEgFakwBB1FvGD2MORIxbdo0zZo1SzfccIN2797tt3ue52/n5OSkomtIY67Uo4WR\nTa5trmU2ufbZ1JgCAIAT1n4C2n6BpKysrB6/NxaL+Zdstf0h0n/E2ED61ZbXlt/U1JRUXlNTk2J1\ntc70188o7N8h36q/vdnfsGHDCT0+HfaT+f92t79hwwb6a9hfF19vrvW3vXR5vbW/aqe9LK/9x6Yp\nVllZ6V9mFLba+v1JXzKDE7dwerHG/utgDABBq6mpUUlJSaq7EZqNGzdq0KBB/uJH27Zt01lnnSVJ\nqqio0HXXXSdJKi8v18yZM+V5nioqKjRjxoy4mfGOzckeN+O9/6drbrxs13IBINXiHZs5YwoAQAZY\ntWqV6urqlJeXp6KiIk2ePFnbtm1TdXW1JGncuHH+YydOnKjFixfL8zyVlpamqssAAPioMQUcRL1h\n9DDm6ElpaanuuOMOffrTn9bkyZMlSZMnT9acOXM0Z84cjRo1yn9sYWGh5s2bp5tvvlkFBQWp6jLS\nlCv1aGFkk2uba5lNrn120LlMTAEAAAAAKcXEFHAQ97SMHsYcQFhcuedhGNnk2uZaZpNrnx10LhNT\nAAAAAEBKMTEFHES9YfQw5gDC4ko9WhjZ5NrmWmaTa59NjSkAAAAAIKMwMQUcRL1h9DDmAMLiSj1a\nGNnk2uZaZpNrn02NKQAAAAAgozAxBRxEvWH0MOYAwuJKPVoY2eTa5lpmk2ufTY0pAAAAACCjMDEF\nHES9YfQw5gDC4ko9WhjZ5NrmWmaTa59NjSkAAAAAIKMwMQUcRL1h9DDmAMLiSj1aGNnk2uZaZpNr\nn02NKQAAAAAgozAxBRxEvWH0MOYAwuJKPVoY2eTa5lpmk2ufTY0pAAAAACCjMDEFHES9YfQw5gDC\n4ko9WhjZ5NrmWmaTa59NjSkAAAAAIKMwMQUcRL1h9DDmAMLiSj1aGNnk2uZaZpNrn02NKQAAAAAg\nozAxBRxEvWH0MOYAwuJKPVoY2eTa5lpmk2ufHXRun0S/8dChQ/rxj3+sW2+9VYWFhZKkXbt2qbKy\nUtnZ2ZoyZYqGDRvWbTsAAAAAAAmfMa2qqtLVV1/doa26ulrz58/X3LlztXbt2h7bASSGesPoYcwB\nhMWVerQwssm1zbXMJtc+Oy1qTPfs2aP8/Hzl5eV1aM/Pz/e3c3Nze2wHAAAAACChiWksFutyhux5\nnr+dk5PTYzuAxFBvGD2MOYCwuFKPFkY2uba5ltnk2menRY3p7t279dxzz6mhoUFFRUV+jWlLS4v/\nmKysLH87XntX2k962/6zYe0jfE1NTVJhf0nhjzf77Lu0v2HDhrTqjyv77a/YAQAA6SvLa3868wRt\n3LhRgwYN8iem5eXlmjlzpjzPU0VFhWbMmNFte2eVlZUaP358ot1JSm39ft21fGtKnjvKFk4v1th/\nTUwBIGg1NTUqKSlJdTecFu/YnOxxM977f7rmxst2LRcAUi3esTnhVXkbGxsVi8U6nDGdOHGiFi9e\nLM/zVFpa6j82XjsAAAAAAAmvyjt48GDdcccduuqqq/y2wsJCzZs3TzfffLMKCgp6bAeQGOoNo4cx\nBxAWV+rRwsgm1zbXMptc++ygcxOemAIAgPTS2traYV0HAABckfClvABShwW7oocxR09WrFihuro6\nlZWV+SU2u3btUmVlpbKzszVlyhQNGzas23ZAcueeh2Fkk2uba5lNrn12WtzHFAAApJdp06bp8ssv\n79BWXV2t+fPna+7cuVq7dm2P7QAApAoTU8BB1BtGD2OORLS/XU5ubm6P7YDkTj1aGNnk2uZaZpNr\nn02NKQAA6JX2d4TLycnpsR0AgFShxhRwEPWG0cOYIxHtF0LKysrqsT2eWCzmvwbbPiHvP2JsIH1s\ny2vLb2pqSiqvqalJsbpaZ/rrZ/zrfqPW/e3tfrLf39X+pEmTAs0LY7+tLV36k2n9dfX15lp/0+31\n1v6qnfayvPYfm6ZYvJt4hyGIG1njxHHzbwCW4t3EO1Nt3LhRgwYN8hc/Ki8v18yZM+V5nioqKjRj\nxoxu27sS79ic7HEz3vt/uubGy3YtFwBSLd6xmUt5AQdRbxg9jDl6smrVKsViMa1atUqrV6+WJE2c\nOFGLFy/W4sWLNXHiRP+x8doByZ16tDCyybXNtcwm1z476Fwu5QUAIAOUlpYe11ZYWKh58+b1uh0A\ngFThjCngIOoNo4cxBxAWV+55GEY2uba5ltnk2mdzH1MAAAAAQEZhYgo4iHrD6GHMAYTFlXq0MLLJ\ntc21zCbXPpv7mAIAAAAAMgoTU8BB1BtGD2MOICyu1KOFkU2uba5lNrn22dSYAgAAAAAyChNTwEHU\nG0YPYw4gLK7Uo4WRTa5trmU2ufbZ1JgCAAAAADIKE1PAQdQbRg9jDiAsrtSjhZFNrm2uZTa59tnU\nmAIAAAAAMgoTU8BB1BtGD2MOICyu1KOFkU2uba5lNrn22dSYAgAAAAAyChNTwEHUG0YPYw4gLK7U\no4WRTa5trmU2ufbZ1JgCAAAAADIKE1PAQdQbRg9jDiAsrtSjhZFNrm2uZTa59tnUmAIAAAAAMgoT\nU8BB1BtGD2MOICyu1KOFkU2uba5lNrn22dSYAgAAAAAyChNTwEHUG0YPYw4gLK7Uo4WRTa5trmU2\nufbZ1JgCAAAAADIKE1PAQdQbRg9jDiAsrtSjhZFNrm2uZTa59tnUmAIAAAAAMgoTU8BB1BtGD2MO\nICyu1KOFkU2uba5lNrn22dSYAgAAAAAyChNTwEHUG0YPYw4gLK7Uo4WRTa5trmU2ufbZQef2SfQb\n33jjDW3evFmtra26+OKLdfrpp2vXrl2qrKxUdna2pkyZomHDhklS3HYAAAAAABI+Y/rBBx9o1qxZ\nmj17tv72t79JkqqrqzV//nzNnTtXa9eu9R8brx1AYqg3jB7GHEBYXKlHCyObXNtcy2xy7bPTpsZ0\n8uTJx7Xl5+f727m5uT22AwAAAACQdI3pypUrddFFF0mSPM/z23NycvzteO0AEkO9YfQw5gDC4ko9\nWhjZ5NrmWmaTa5+dNjWmklRVVaVRo0ZpyJAhkqSWlhb/a1lZWf52vPauxGIx/z/Zdno4rH2Er6mp\nSSrsLyn88WafffYzf7/9FTtRtWzZMv84PHLkSJ1//vmSWP8BAJBesrz2pzNPwJo1azR06FCNHj3a\nbysvL9fMmTPleZ4qKio0Y8aMbts7q6ys1Pjx4xPpTtJq6/frruVbU/LcUbZwerHG/mtiit5r/wEO\nooExT0xNTY1KSkpS3Y2UWrlypaZOnXpc+3PPPafrr79ekrR06VKVlZV1+f3xjs3JHjfjvf+na268\nbNdye8Pq/cbyfcy1PpNrn02ufXaiufGOzQmdMW1oaNCLL76o0aNHa9OmTdq/f79uueUWTZw4UYsX\nL5bneSotLfUfH68dAADYamlp0ZIlS+R5noYPH+5PMln/AQCQThKamBYUFOjuu+8+rr2wsFDz5s3r\ndTuAxHDmLHoYcyRq2rRp/vbzzz/vb7P+A+JxpR4tjGxybXMts8m1zw46N+nFjwAAgBvaT0BPZP0H\nAACsJbX4EYDUoN4wehhzJGrbtm0666yzJEnNzc1++6FDhyQdO3Path1PVwsT9h8xNpD+dV64qqmp\nKam8pqYmxepqnemvn9FpIUCr/vZmf8OGDbrzzjsT/v54++3veRj0QmednyOo/EWLFun888+nv0b9\ndfH15lp/22emy+st3sKECS9+ZIHFj6KHxY8SwyQlehjzxLD4kbR69Wrt3r1bkjRu3DiNGjVKklRf\nX6+qqip//YeCgoIuv5/Fj7rPdi23N9JtoZRUZpNrm2uZTa59dlosfgQgtZigRA9jjkRNnjy5y3bW\nf0A8rtSjhZFNrm2uZTa59tnUmAIAAAAAMgoTU8BB7WsGEA2MOYCwWL3fWL6PudZncu2zybXPDjqX\niSkAAAAAIKWYmAIOot4wehhzAGFxpR4tjGxybXMts8m1z6bGFAAAAACQUZiYAg6i3jB6GHMAYXGl\nHi2MbHJtcy2zybXPpsYUAAAAAJBRmJgCDqLeMHoYcwBhcaUeLYxscm1zLbPJtc+mxhQAAAAAkFGY\nmAIOot4wehhzAGFxpR4tjGxybXMts8m1z6bGFAAAAACQUZiYAg6i3jB6GHMAYXGlHi2MbHJtcy2z\nybXPDjq3T6BpAAAASGs79x1Ww4EjCX9/wcm5Gjagb4A9AgAmpoCTYrEYZ9AihjEHEJSGA0d01/Kt\nCX//wunFCU1MLd/HrLLJtc21zCbXPjvoXC7lBQAAAACkFGdMAQdx5ix6GHMA6a6nS4T7jxir2vr9\n3WYkepmwKzV05IaXTa59NjWmAAAASDvJXiIsJX6ZMAD3cSkv4CDuaRk9jDkAxOfKfRrJDS+bXPts\n7mMKAAAAAMgoXMqLyEp2ufxU6k2dTrriNgOJocYUAOJzpYaO3PCyybXPpsYUCEgQtTA4cdQPAQBO\nRBAfJPOhKJD+mJgCgAO4jymAqLJaVKk3E96mpiYNHDgw7tcTnfC6cl9J61zLbHLts4POZWIKAACA\nyOn9hPe9uF/hKiAgOCx+BAAO4GwpAGQOV2r+rHMts8m1zw46l4kpAAAAACClmJgCgAO4jykAZA5X\n7itpnWuZTa59NvcxBQAAAABkFBY/AgAHUGMKAO7oacXfnu5Hnuhqv67UEoaRTa59NvcxBQAAANJY\nsre4YbVfRFEol/Lu2rVLjz32mB5//HHt3LkzjKcEgIxCjSmCxrEZyDyu1BKGkU2ufbaTNabV1dWa\nP3++5s6dq7Vr14bxlAAAoBscmwEA6SSUiWl+fr6/nZubG8ZTAkBGocYUQePYDGQeV2oJw8gm1z7b\nyRpTz/P87ZycnDCeEgAAdINjM+CenhZV6o2uFlZyLTeI7EQXmIKdUCamLS0t/nZWVlYYTwkAxwni\nAJkqTU1NGjhwYKq7kRAO/umJYzPgnmQXVZK6XljJtdwgsuPl9vS3Qm+Ox4lM0q1ye5Od6OQ/0dx4\nsrz2H5kaKS8v18yZM+V5nioqKjRjxowuH7d+/Xrt3bvXujsAgIgYNGiQJkyYkOpupCWOzQCAVIh3\nbA5lYlpfX6+qqip5nqfS0lIVFBRYPyUAAOgGx2YAQDoJZWIKAAAAAEA8oazKCwAAAABAPExMAQAA\nAAApxcQUAAAAAJBSTEwBAAAAZIxNmzZp48aNzmVHHRPTDNDc3Kzf/e53qe4GQsIbIoB0Z3lcssom\nN9jsrVu7vr/kunXrksrdvn17Ut/fnYaGBq1atUqrVq3SihUrVF9fn9bZVj/jrgTxmnj99dcD6k1H\n999/v1auXNnh5zFgwIBAfg6W2VYsXmubN2/ukPPiiy9q48aNev/995PObq9PoGkITWNjo1577TVt\n375dZ511llpbW1PdJRi4//77NXbsWA0fPlzFxcWSjr0hrlq1Sueee26Ke4ewNDc36+mnn9anPvWp\nVHcFiMvyuGSVTa5d9qOPPqrbbrtNw4cPlyTV1dVp8+bNys7OTir3t7/9rSZPnqzLLrtMJ530/8+v\n1NXVacSIEQnnxmIx9enTRyUlJcrKylJLS4tefvll1dXVadKkSUn12Srb6mfcJujXxIoVK7Rz584O\nbW+//bZ27typBQsWJJxbXFysqVOn6vDhwyovL9cZZ5yhCy+8UAMGDEiqv9bZnQVxrLd6rb366qu6\n6qqr/P0dO3Zo+PDhisViKisrSzi3MyamjvnjH/+o1tZWDR48WJdccon27dunK664QkeOHEl112Ag\nzDdEpBc+fIIrLI9LVtnk2mffddddWrdunQ4cOKDdu3eroKBA11xzTdL9/cpXvqLm5mZVVFTolFNO\n0RlnnCHp2B/kyUxMd+3apdmzZ/v72dnZmjRpksrLy5Pus1W21c/Y6jVx44036swzz5QkbdmyRZs2\nbdKll16q8847L+k+S1Lfvn2VlZWlCy+8MJC8MLKDPtZbvdYGDhzY4V7Xp556qgoLCzt8OBQEJqaO\nqa2t1XnnnaesrCxlZWX57fzRmtks32yRXvjwCa6xPC5ZZZNrn/33v/9dV155pV555RW9//77Ki0t\nlST99a9/1QUXXJBwbl5envr06aPc3FwdOHBAe/fulXTsbFMy+vTp+k/i9j+TdMu2+hlbvSbOPPNM\nvfHGG9q6datGjx6t66+/XpL07rvv+h8wJGLr1q1auXKlJGnv3r3+drxLndMh2+pYb/VaO3z4cIf9\nyZMnS5I+/PDDpHI7Y2LqmPPOO0/Tp0/Xe++9p1gspsbGRr3wwgt69913deutt6a6ewiY5Zst0hMf\nPsE1lsclq2xy7bMrKyv9+rN9+/Zp+fLlysnJUW1tbVKTpvvvv1/jx4/X5Zdfrry8vIRzOmt/vO3c\nnq7ZVj9jq9fEd7/7XZ1yyikaOXKktm/f7tcL19bW6utf/3rCudddd51Gjx59XPvpp5+ecGZP2clM\npCW7Y73Va+2cc87Rc889p0mTJql///7av3+/Xn31VX384x9PKrezLM/zvEATEbrm5mYtWbJEN998\nc6q7goC9+eabXf7Sb9q0qcs3Srhv+fLl/h8EtbW12r59u4qKivjwCU6xPC5ZZZMbbPbTTz/d4ZLC\nNskev6yOf/v27euyTCZeezpkh/k3QhCviTVr1uiTn/zkce2vv/56UpfzttXVtq3FIUnbtm3TWWed\nlXBmdzzP01NPPaUbb7wx4QyrY73l6/jgwYPauHGj/vnPfyovL09jxozRySefnFRmZ0xMHRP2Lx9S\ny/M8vfrqq2pqatLIkSOTqp+Bu/jwCYBr2hbva5OVlaXm5maNHj26w98wJyrZSUw8b7zxhsaMGRN4\nrnV2Z0FMmsIUxII/Tz75pMaNG6ezzz7bb6uvr1dNTY2uu+66pPq3bt06NTQ0aP/+/Zo6dareeecd\n1dfX66KLLupQcxmEII71Vq+1sF7DXMrrmNraWo0bN65DW05OjioqKpL+5UP6KS8v1+TJk/Wxj31M\n1dXVamxspM40gvLy8piUIm09/PDDOvfcczVp0iRt2rRJW7ZsUXZ2tk499VRNmDAhLbPJtc++6aab\nurzc8YknnkhqYmq1suvzzz9/3G01gsi1zI43abr88suT6q/l600KfsGfvLy8DpNSSSosLFR1dXVS\nudKx2xPNmjVLra2tuvfeezVnzhyzv7eDONZbvdYsfz868OCUZ599tsv28vLykHuCMCxdurTDftv4\nV1VVpaI7CEG8sWXMka7av08988wz/vbTTz+dttnk2mdv3769y/bFixcnlbtt2zZ/e/Pmzd6zzz7r\nbdiwIalMy1zL7Lbxamlp8b7//e97mzZtSjrT8+xeEytWrPCWL1/uvfLKK97Bgwf9v10PHz6cVG77\nPnY8/JoAABjCSURBVLb35JNPJpXreR3/vm6/XVNTk1Su1bHexd+P9jhj6ph4q18dPXo05J4gDE1N\nTR0+odq7d6/q6+v1zjvv+CuiIbO88847XZ5NYMyRrtqOP0ePHu1Qb5Sbm5u22eTaZz/xxBMdLuWV\njl2qOH78+KRyrVZ2tcq1zG67VcdJJ52k8847T+ecc46k5FfltXpNWC34U1xcrIqKCl1yySUaMGCA\n9uzZo+rq6qR+Bm3iLUKZ7AJTVsd6F38/2mNi6hjLXz6knyNHjvhL4UvShRdeqL1793LrkAzW3Nzc\nYczbtwPpqLi4WMuXL1dzc7N/A/bq6mp/tdB0zCbXPnvatGkmtaBWK7ta5VpmW02arF4Tbav9NjQ0\nBLra7yc+8QkVFxf7C/P0799fV199tXJycpLqr2S34q/Vsd7F34/2WPzIQe1Xxerfv7/OP//8QH75\nkH5aW1u7vHlxvHa4b9WqVf696HrTDqSjvXv3+vfocyWb3HCyk2W1sqtVrmV2vNV3LVbltXpNpPOC\nP20OHDigmpoaNTc3q2/fvrrggguSXuHW6ljv4u9He0xMgTRn8YYIAEFxcTVTcsPJDksQK7uGmWuZ\nHUSu1WvCM7rTQOcVoKXgFuapra3Vu+++qyuuuEL9+vXTP//5T/35z3/W6aefftxipOkqqNdaGH+P\ncimvY1avXt3ltefx2uG2THhDBJDZOq/WGNRtQSyzyQ0n21LQK7ta51pmB51r9ZqwutPAjTfeqDPP\nPFOStGXLFm3atEmXXnppIGfyNm/e3OHWO/369dN1113n36ImSF6At/oJ+jUR1t+jTEwdw8Io0RLm\nGyLSg/Uy/UDQrG4LYplNbjjZFv74xz/6l5Recskl2rdvn6644oqk116wynWxz1aviezsbA0ZMkSS\nNHHiRD333HOSkj+5YrkwT58+XU+Vki2nsrrVj9VrIqy/RylSc0xbsXTnfyyMkpms3hCRvk455RRN\nmjRJkrRx40Zdf/31uvbaa/XOO++ktmPACbKsFLLKJjec7GTU1tbK87zAV3a1yrXMtuxzV5J9TbTd\naaDtX/s7DSTju9/9rtasWaP8/Hxt375dK1eu1MqVK/XEE08klStJZ599tlasWKGDBw9KOvZ3+IoV\nK/wVkBO1fft2TZ8+XXPmzNFDDz3kT/QKCgqSyrV6TYT19yhnTB0zYsQInXvuuce1d77pLTJD2xvi\nlClT9JGPfETNzc36y1/+kvQbItKX5W0hAAtWtwWxzCY3nGwLViu7tuW+9957geZaZlv9LKxeE1Z3\nGrjyyiu7XJhn2LBhSeVKx37Gw4cP1/r163X48GH17dtXkyZN6nB8ToTVrX6sXmth/T3K4kdAmjtw\n4ID++te/+m+IF1xwQdJviEhfr732murr6/1l+k8++WRVV1frjTfe0Gc/+9lUdw84TtCrMoaRTW44\n2WEJYmXXMHMts4PItXpNhHmngaAW/Gm/YNOIESM0cuTIQPrXfsGmHTt26LTTTpMU/O1XpOBea2H8\nPcoZ0wwQZLE00s/JJ5/c4ZNAz/P05JNPMt4Zaty4ccfVa4wcOVLr1q1LUY+A7llOaqyyyQ0n28Iv\nfvELjRo16rjLShsbGwN9nvXr16uxsVFDhw4NNDfIbKufhdVroqvJZ5CrE1ssLtW2YNOQIUO0du1a\n7dmzJ5AFm6zuj9pZUK+1rVu3qri4+Lgz0+vWrQvk59GGialjrIqlkZ4Y7+jqfIDlLDkASAUFBTpw\n4IDGjBnjn2XyPK/DJaJBaFtsbunSpYHmBpkd1s8iaEFPIC0XrrJasKmxsVEvvfSSzjzzzA6T0Y9/\n/OPJdbiToF5rjz76qG677TYNHz5cklRXV6fNmzcrOzs76T62x8TUMdu3b9esWbPU2tqqe++9V3Pm\nzNF1112X6m7BCOMdPZYHWABw3fXXXy/P8/T6669r1apV6tu3r6688kr9+7//e1K5bWeELFhlW/0s\nrFgd32pra3XeeeeZLALVtmBTm/YLNiUzMd2xY4euvfba49aP2LhxY5dryfSW1Wvtrrvu0rp163Tg\nwAHt3r1bBQUFuuaaawJ/HiamjrEqlkZ6Yryjx/IACwCZ4J///Kc++OADtba2atCgQZKOXRL6kY98\nJOHMlStX6sCBA8e179y5M+HMMLItfhZWrI5vlgtXWS3YtGfPni5XI47FYklNTK1ea3//+9915ZVX\n6pVXXtH777+v0tJSScH/PcrE1DFbt27VypUrJR371KZtu7a2lolKBmK8o8fyAAsArvvFL36hfv36\n6cILL1S/fv0kHbszQWVlpW655ZaEcwcMGOBfDtvG8zwNGDAgqf5aZlv9LKxYrSI8ffp0SdLQoUP9\nCVPbgj/Juu2227qsje2qPvRE5OXl+R8ktPE8T3l5eUnlWr3WKisr9f7770uS9u3bp+XLlysnJyfw\nv0eZmDrm2muv7fL682RvIIz0FFZxPNKH5QEWAFw3ZMgQnX322Tp69GiHM1l9+/ZNKrekpKTLBWJK\nSkqSyrXMtvpZWMnPz5d0rDbW+vjWt2/fuPfePBHWCzYNHDjQ/1BBkn8f80RZvdbi/T0a9PyDialj\nupqUbtq0icv8MtSHH37YZXvQxfFIb3l5eSa3KwCC8Pvf/17nnnuuBg0apIEDB2rAgAGBL4jRXtsx\nL5nL3doW7Whfi7Vt2zadddZZQXSxg3Tvb9jjl6yysrLj2trqLJNx6qmndpm7evXqpFfBt8ouLi7u\n8nWVzGtNkl566SVJOm5hnmStW7fOv1d3G8/zNHPmzKRzrReKDHrBpgkTJmjv3r3Kzc3tMDEdMWJE\nUrldvdba3oO6+lpvZWVlqb6+XoWFhZKkF198UR/96EdVUFCQcGZXmJg6pu2+R8OHD/cPUAMGDNCq\nVauSfiNC+lmxYkWHuoCsrCw1Nzdr9OjRZos0AMCJyM3N1WmnnaampibV1dWpqalJf//737Vjxw59\n5zvfSSrb6phXW1t73G2ZcnJyVFFRkdQCc671V7IdPwtWkxDLyY1Vdue/ESTp7bff1s6dO7VgwYKE\nc60W5ikuLtbUqVM7tB09elTPPvusZs+enXCu5UKRVgs2jRkzJpD+dWb1HvTqq6/qqquu8vd37Nih\n4cOHKxaLdflhUaKYmDqm7Zf68OHDKi8v1xlnnKELL7wwkBoIpJ+bbrqpy8sknnjiCSamANLC1KlT\nNXDgQL3++us6evSoTjrpJE2ZMiWQG9FbHfPy8vJ09tlnd2grLCxUdXV1Urmu9VeyHT8LVpMQy8mN\nVfaNN96oM888U5K0ZcsWbdq0SZdeemnS9yG1WpinqKjouLacnJykL7m1XCjSasGmhx9+WGPGjNFl\nl12mTZs2acuWLcrOztapp57q3+IlEVbvQQMHDuxwdvTUU09VYWFhl5c6J4OJqaP69u2rrKysQG9q\nC3d0vpk2AKRK2x9rR48e1YcffqiTTjop8PeooI958cokOl9mmCiX+hvG+AXJahJiObmxyj7zzDP1\nxhtvaOvWrRo9erSuv/56SdK7776bVO2f1cI87c/6HzlyRG+++aYOHTp03JnZE7V161atWrXKv4dr\nkAtFWi1IeMopp+iyyy6TdOxM9KxZsyRJzzzzTFIT0zZBvwcdPny4w37brXLivTcliompY+Kt0rp1\n69ZUdgtGnnjiCY0dO7ZDW3Nzs8aPH5+iHgFARytXrtQVV1yh4uJiNTU1ac+ePVq9erUef/zxpC4n\nlOyOecXFxaqoqNAll1yiAQMGaM+ePaqurk76j1jX+vv/2rufn6iuP4zjz6CVqYNAkYBGpBYIGgbS\nsdo22tEWUljoxCbGumiaNE0XXbRLd11YN135D9TY2KSmaay/0gXaYGOr1AU1KtaZDgSRDgWtlYrK\n4CBm+C4aboEZvince7hceL82lJP08MlFx/u5557nSGZ/fyaYSqs3mYJvau4DBw6otLRUlZWVSiQS\nSiQS1rz79u2zVbPkfDDPREuXLrXSY4uLi23NlUwmNTY2phdeeGHSq8JO7I81FUg4/lBpdHRUeXl5\n1rgTTbqJz6D169fru+++Uzgc1ooVK/To0SP98ssvjmee+Mbm82MxZIjH41lTsaYbh7fduHEj45Uc\nJ4I0AMApX331lYLBoAoLC60AHafCc6b7t+23336zfUM0PDysWCymZDKpFStWqK6uTs8884ytOaer\ny4l/o03UK0lHjx61wo+c/v2ZYOoam/zdmZr74sWL2rZtW8Z4tnuHmYjFYpL+Sc+12zTOhdOnTzu6\nz3Gijo4OrVixImvoj51rc+3aNfX39yuVSqmpqUl5eXlqa2tTNBrV+++/P+t5TfYJEz+D/H6/gsHg\npKbaCayYekxra6v+/PPPjNdsotEojekCNB5sQNgVgPnK5HmJppLJo9GogsGg49thpqvLiX+fly9f\nbmT7TigUsr0ncS6ZOp3A5KkHpubO1pTG43Hb+/4uXbqkqqoq3b17d9J4NBrVRx99ZGtuk0ZGRvT5\n558rFApp+/btunz5su2/M6ZCf0KhUEagWXV1te38kGyfNWNjY7p+/bqtzyFTn5lT0Zh6TElJiYaG\nhhQMBq1XIMbfqcfCQ9gVgPnOVIiHZC519MyZM+rv73d83kOHDqmmpkbhcNjRa2FqXsncNTbFVOqo\nyVMPvFZzSUmJksmkZ+410+m0tT+6rKxMW7Zs0ejoqBKJhO1GylToz3ijN9HUfb2zYSoB2tRn5lQ0\nph6za9cu67yuc+fOKTc3Vw0NDXrrrbfcLg0GEXYFYL4yGeJhKnXU1LylpaXWPjwnr4WpeSVz18IU\nUw9sTT4I9lrNXrvX/P3339Xa2ipJKioq0s8//2yN22Uq9Gdqo+fUcYBeS4CeisbUg5LJpAYGBpRO\np62nK6lUSs8++6zLlcFphF0BmO9MhXhI5lJHTc1r6lp48RqbZuqBrckHwV6q2Uv3mh9++KGWL1+e\nMf7KK6/YnttU6I+p4wC9lgA9FY2pxxw+fFiBQECbN2+2ktL6+/v1ww8/GN3nA3dEIpGsewLm880C\ngMWlqqpKzc3NVoiHJLW1tenevXu25zaVOmpqXlPXwovX2BRTD2xNPgieq5rHj0yxO6/X7jWzNaX/\nb3wm6urqVFlZOSn057XXXnM89Gec3UxaryZAj6Mx9Zji4mJVV1drdHR00rv+ubm5LlYFU6bbqE7Q\nFYD5wlSIhyQ1NDRkDXhZvXr1vJzX1LXw4jU2ZceOHSosLMxISR3fCzlbO3fuzLoK5sSRI6YeMkci\nERUVFen69esqKyvT06dPVVdXZ3te7jX/ZSr0x9RxgKb+rM3V5wTHxSwAqVRKx48f17vvvut2KQAA\nAMYcPXpUTU1NViDNsWPHFA6H1dbWZuzIELsGBga0cuXKjPGuri5bDxdaW1u1dOlSvfrqq/L5fEqn\n07p06ZIkZ88cXczGA6YmciL0J9uRPo8fP9aJEyds3c9fuHDB2gf7X8ZnYmhoSFeuXFEqlVJubq42\nbtzoeBgnK6Ye9ffff+vatWtKJBJ6/vnnHYkzBwAAmM9MpaR++eWX2rp1q6qrqyVJ3d3dunnzpjo6\nOvTxxx/bmvvIkSNWc5NIJKwQGbuvQd65c0d79uyxvs/JyVE4HNapU6ds1Yt/mQr9Gf//nb6f7+np\nyfqwo6enx1Zj2t7ert7eXtXX1ysQCCiZTOr8+fMqKyvLeJvDDhpTj/n++++VTqdVVFSkLVu26OHD\nh6qvr9eTJ0/cLg0AAMAoUymphYWFevLkiU6ePKnt27eroqJCFRUVSiaTtuaVJgfdnD59Wo2NjZLs\nb8tZujT7bbzP57M1L/5lKvTH1P18KpXKeqxPKpWyNW9HR4f27t1rfR8IBBSJRHTs2DEa08Wsvb1d\ntbW18vl8kz54WDEFAAALnamUVOmfVayamhpduHBBQ0NDevPNNx2oePqm2W4zPTHoZuo4nGEq9MfU\n/XxFRUXWM2ynnkE6U9M9BLH7psJU7DH1mObmZu3YsUN//fWX2tvblUgktG7dOvX29uq9995zuzwA\nAACjhoeHJ6WkBoNB2ymphw8f1rp16/Tyyy+roKBAw8PDOnfunH799Vd98skntuaeuE+xr6/PCmqy\n29w8fPgw6x6/6cYxcxcvXswa+pNtj+hMeO1+/saNG/rjjz+0fft2LV++XKlUSj/++KPWrFmjuro6\nx34OjekCkEqldPLkSb3zzjtulwIAAIAJBgcHrbNAJ+ru7lZFRYULFWE+ms/38wMDA/L7/bpy5YpG\nRkbk9/sVCoV0584dR9LBx9GYAgAAYFEbT7MtLy935IiYuZobZplMufWSiav+TgZ4TcUeUwAAACxq\nfX192rlzp5YtWzZpPBaLZd2zN1/mhlmmUm69xlSA11Q0pgAAAFjU7t+/r56enozx1tZW282jyblh\nlqmUW68xFeA1FY0pAAAAFjW/35+xD3RsbEx+v39ezw2zTKXces2JEyesV3kHBwetNGhe5QUAAAAM\nKCgoUCAQsL4Ph8OemBtmTHdkkFNHCXnFBx98oOeeey5jvLKy0tGfQ/gRAAAAFrVoNCqfz6eSkhIV\nFxd7Zm6YdejQIdXU1CgcDisej6uzs1NLlizRqlWrtGnTJrfLW3BYMfWYgYEBrVy5MmO8q6vL0bhm\nAACAxSIYDM7p3PF4XOl0mj2m81xpaam1sh2LxbR7925J/7zaSmPqvBy3C8DMHDlyRC0tLWppadEX\nX3xh/ffp06fdLg0AAMCTLly4MKPxmTh48KBaWlrU1dVljeXn5+vy5cu254ZZo6Oj1te8vDxrfGrC\nMpzBiqnHzFVcMwAAwGJh8liQqqoqNTY2amRkRKdOndLatWu1efNm5efn25oX5lVVVam5uVmpVEpN\nTU2SpLa2Nt27d8/lyhYmGlOPmau4ZgAAgMViLo4Fyc3Nlc/n0+bNmx2bE2aFQiGFQqFJY9XV1Wyf\nM4TG1GPmKq4ZAABgsTB5LEhXV5d1vzbx3m3iq73wjqlH/8A5pPJ6zODgYNa/EN3d3aqoqHChIgAA\nAEzn+PHj2rNnT8Z4PB5nKxYwASumHhOLxSRJ5eXlKisrs8ZpSgEAAGbn66+/Vk1NjQoLC1VQUKD8\n/HwtWbLEkbl7enqsVdJxt27d0u3bt7V//35HfgawENCYekxfX5927tyZkQYWi8WIHAcAAJiFZcuW\nac2aNXrw4IG6u7v14MED3bx5U319ffr0009tzb13716Vl5dLkjo7OxWPx7V161bV1tY6UDmwcNCY\nesz9+/fV09OTMd7a2kpjCgAAMAuNjY0qKCjQjRs3NDo6qpycHL3++uuqrKy0PXd5ebmi0ai6urq0\nYcMG7dq1S5LU29trnbQAgMbUc/x+f8Ye07GxMfn9fpcqAgAA8Dafzyfpn/Mqnz59qpycHDkVw3Lg\nwAGVlpaqsrJSiURCiURCEsGVwFQ0ph5VUFCgQCBgfR8Oh12sBgAAwLtaWlpUX1+vqqoqPXjwQPfv\n39dPP/2kb775xvY+0IaGBm3bti1jfPXq1bbmBRYaUnk9JhqNyufzqaSkRMXFxW6XAwAA4HlHjx61\nwo/GA5CcCj8C8N+wYuoxwWAwY2xsbEzffvut9u7d60JFAAAA3jY8PKzh4WG99NJLisfjam1t1ZIl\nS7Rq1Spt2rTJ7fKARYHG1GMuX76su3fv6tGjR2psbFRPT4/6+/v1xhtvuF0aAACAJ5WWllrbomKx\nmHbv3i1JOnHiBI0pMEdoTD0mkUho9+7dSqfT+uyzz/T2228rEom4XRYAAIBnjY6OWl/z8vKs8anH\n8wEwh8bUY3JycqyvtbW1Wr9+vSTp6tWr2rhxo5ulAQAAeFJVVZWam5uVSqXU1NQkSWpra9O9e/dc\nrgxYPAg/8piDBw/qxRdflCT19fVpzZo1kogcBwAAcNLg4KDS6bSKiorcLgVYFFgx9ZhIJKINGzZk\njJeVlblQDQAAwMI09dx4AGaxYupBQ0NDunLlilKplHJzc7Vx40bl5+e7XRYAAAAAzAorph7T3t6u\n3t5e1dfXKxAIKJlM6vz58yorK1MoFHK7PAAAAACYsRy3C8DMdHR0KBKJKBAISJICgYAikYg6Oztd\nrgwAAAAAZofG1GOWLs2+yD2e1gsAAAAAXkM34zHV1dU6e/asHj9+LElKpVI6e/asdWwMAAAAAHgN\n4UceNDQ0pKtXr2pkZMQKP5p4GDQAAAAAeAmNqcdEo1EFg0G3ywAAAAAAx5DK6zFnzpxRf3//pLFb\nt27p9u3b2r9/v0tVAQAAAMDssWLqMYlEQuXl5ZKkzs5OxeNxVVRUqLa21uXKAAAAAGB2aEw9KBqN\nqqurSxs2bLBCj3p7e7V27VqXKwMAAACAmaMx9ZgDBw6otLRUlZWVk8bb29u1b98+l6oCAAAAgNlj\nj6nHNDQ0aNu2bRnjq1evdqEaAAAAALCPFVMAAAAAgKty3C4AAAAAALC40ZgCAAAAAFxFYwoAAAAA\ncBWNKQAAAADAVTSmAAAAAABX/Q8tuniirCJEAgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a614bd0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAA6EAAAGOCAYAAABmPgXgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nbKDD9lWJswAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a68d550>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Based on this we may want to consider a segmentation of the customers on the basis of whether they send/receive a large fraction (say >95%) of their volume to a single Router/Pop/Region/Country. Here is some code for this:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "top = data.join(top_frame['speed','sum']).reset_index()\n",
      "top['segment'] = 0\n",
      "top.loc[top[('country','value1')] > 0.95, \"segment\"] = 1\n",
      "top.loc[top[('region','value1')] > 0.95, \"segment\"] = 2\n",
      "top.loc[top[('rtr','value1')] > 0.95, \"segment\"] = 3\n",
      "top['country'] = top[('country','label1')]\n",
      "top['rtr'] = top[('rtr','label1')]\n",
      "top['pop'] = top[('pop','label1')]\n",
      "top['region'] = top[('region','label1')]\n",
      "top['hops'] = top[('c(hops)','label1')]\n",
      "top = top[['country','region','hops','rtr','pop','unit_cost','wtd_hops','level_0','level_1','level_2','level_3','level_4','segment']]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Lets look at each segment in some detail:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig = plt.figure(figsize = (16,12))\n",
      "ax1 = fig.add_subplot(221)\n",
      "ax1.hist(np.array(top[top['segment'] == 0]['unit_cost']))\n",
      "ax2 = fig.add_subplot(222)\n",
      "ax2.hist(np.array(top[top['segment'] == 1]['unit_cost']))\n",
      "ax3 = fig.add_subplot(223)\n",
      "ax3.hist(np.array(top[top['segment'] == 2]['unit_cost']))\n",
      "ax4 = fig.add_subplot(224)\n",
      "ax4.hist(np.array(top[top['segment'] == 3]['unit_cost']))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 5,
       "text": [
        "(array([ 20.,   5.,  26.,  32.,  36.,  21.,   5.,   1.,   4.,   4.]),\n",
        " array([-2.9189551 , -2.15900648, -1.39905786, -0.63910923,  0.12083939,\n",
        "        0.88078801,  1.64073664,  2.40068526,  3.16063389,  3.92058251,\n",
        "        4.68053113]),\n",
        " <a list of 10 Patch objects>)"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAA50AAAK/CAYAAADqP6nDAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIDA0nQAAAACAwNB0AgAAAAAC8/91kgn80qcrgAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10a6a98d0>"
       ]
      }
     ],
     "prompt_number": 5
    }
   ],
   "metadata": {}
  }
 ]
}