{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>\n",
       "\n",
       "    /* DOWNLOAD COMPUTER MODERN FONT JUST IN CASE */\n",
       "    @font-face {\n",
       "        font-family: \"Computer Modern\";\n",
       "        src: url('http://9dbb143991406a7c655e-aa5fcb0a5a4ec34cff238a2d56ca4144.r56.cf5.rackcdn.com/cmunss.otf');\n",
       "    }\n",
       "    @font-face {\n",
       "        font-family: \"Computer Modern\";\n",
       "        font-weight: bold;\n",
       "        src: url('http://9dbb143991406a7c655e-aa5fcb0a5a4ec34cff238a2d56ca4144.r56.cf5.rackcdn.com/cmunsx.otf');\n",
       "    }\n",
       "    @font-face {\n",
       "        font-family: \"Computer Modern\";\n",
       "        font-style: oblique;\n",
       "        src: url('http://9dbb143991406a7c655e-aa5fcb0a5a4ec34cff238a2d56ca4144.r56.cf5.rackcdn.com/cmunsi.otf');\n",
       "    }\n",
       "    @font-face {\n",
       "        font-family: \"Computer Modern\";\n",
       "        font-weight: bold;\n",
       "        font-style: oblique;\n",
       "        src: url('http://9dbb143991406a7c655e-aa5fcb0a5a4ec34cff238a2d56ca4144.r56.cf5.rackcdn.com/cmunso.otf');\n",
       "    }\n",
       "\n",
       "    /* GLOBAL TEXT FONT */\n",
       "    div#notebook,\n",
       "    div.output_area pre,\n",
       "    div.output_wrapper,\n",
       "    div.prompt {\n",
       "      font-family: Times new Roman, monospace !important;\n",
       "    }\n",
       "\n",
       "    /* CENTER FIGURE */\n",
       "    .output_png {\n",
       "        display: table-cell;\n",
       "        text-align: center;\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    /* LINK */\n",
       "    a {\n",
       "        color: #FF8000;\n",
       "    }\n",
       "\n",
       "    /* H1 */\n",
       "    h1 {\n",
       "        font-size: 42px !important;\n",
       "        text-align: center;\n",
       "        color: #FF8000;\n",
       "    }\n",
       "\n",
       "    /* H2 */\n",
       "    h2 {\n",
       "        font-size: 32px !important;\n",
       "    }\n",
       "\n",
       "    /* H2 */\n",
       "    h3 {\n",
       "        font-size: 24px !important;\n",
       "    }\n",
       "\n",
       "    /* H2 */\n",
       "    h4 {\n",
       "        font-size: 20px !important;\n",
       "    }\n",
       "\n",
       "    /* PARAGRAPH */\n",
       "    p {\n",
       "        font-size: 16px !important;\n",
       "        text-align: center;\n",
       "    }\n",
       "\n",
       "    /* LIST ITEM */\n",
       "    li {\n",
       "        font-size: 16px !important;\n",
       "    }\n",
       "\n",
       "</style>\n",
       "\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%run ../../../common_functions/import_all.py\n",
    "\n",
    "from common_functions.setup_notebook import set_css_style, setup_matplotlib, config_ipython\n",
    "config_ipython()\n",
    "setup_matplotlib()\n",
    "set_css_style()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Displaying data with histograms & boxplots\n",
    "\n",
    "_This notebook reports some code to extract data according to a few prob distribution, and displaying them._"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Uniform distribution"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In a uniform distribution all values are equiprobable. Let's say we uniformly extract $10^5$ integer data points in the interval $[0, 10)$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 100000\n",
    "\n",
    "data = [random.randint(0, 9) for i in range(n)]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and then let's compute, for each of the 10 possible values, how many of these points are there, which is equivalent to say that we are binning with a bin width of 1:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABPEAAAMdCAYAAAD6fOPvAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOzdQWhcWZ4n6r+b4sFILoj0VEc0VY+hHH7LkuDJVZSdW4d78WBsN8idC3vTCQ4vhm4oN0hpJnMWmQmZElRmN71pyTS1SSVkyVBpL4bHKDzLSmVVSQ/kXJbCxTBdZKirU4KxNDCLibcwNyokhaSQFFdxQvo+EJmOODfuiXtP3HvjF+eec67ZbDYDAAAAAEjWn/S7AgAAAADA/oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAHdXr9bh9+3ZsbGx0fH6/5wAAgN4S4gEAHW1sbMTjx4/j4sWLMTk5GbVaLWq1WkxPT8elS5ciIqJQKPS5lgAAcDacazabzX5XAgBIz/Lycly+fLnjc+Pj4zE/P3/CNQIAgLNLTzwAYE/lcjnGxsYi4lWvuyy8E+ABAMDJ+la/KwAApKtSqcTMzEy/qwEAAGeeEA8AjmljYyNqtVrU6/UYGxuLSqXS7yqREO3j9KvX67GxsRH1ej2++eabqFQqUS6X+12tJGxsbMQ333yzbRtNTEz0u1oDJ4U2lkIdAM46t9MCBzp37tyBf51MTk4euNzs7OwJvxvorenp6bh48WLrC83U1NSe48hx9mgfu83Ozsbt27fj8uXLcenSpTh37txAz3I8Ozsbly5disuXL8ft27fj/v37Ua/X+12tZFy7di0uXboU169fj9u3b8fk5GS/qzRwUmhjKdQBACEe0IVmsxnNZjMWFha2Pb6wsNB6rpOpqaloNpuxurq6refJ+Ph4rK+vR7PZjGq12nHZ6enpeO2111zsk7TJycmYnJyMpaWlqFarUSgUolarxfLyctRqtZ6va3p6+kjLLi8vx/379+P27dutL1+HqV+9Xm8te/v27bh+/XosLy8fqS6D7LDHpZNsH4PkwoULceHChVaPnkFXrVY7niP3ctrObwe9n6WlpVhfX9/zfM/BDtvGTmsdAIiIJsAhlMvlZkQ0y+XyoZabmZlpRkQzIpoLCwsHls/KRkRzfX39qNU90Pz8fG6vzem2sLDQjIhmtVptPba+vt5qt0tLSz1b19TUVDMimhMTE4detlqtNsfGxrbVZ3V1tVmpVJqVSmXfz9fS0lJzbGysOTU1te3x7L1381k+TQ5zXDrJ9jGo2rdHnsf5kzQ2NnbgZ+O0nd+6fT+rq6utcqlL+dqgmzZ2GuuQ8j7h5GgH0GzqiQckKZsNs1wuR6FQyG09p6UnBCcvm+zh/v37rccKhUI0m81YX19vteGjqtfrrduXjtpOr1+/HrVaLZ49e7atPuVyudWbYr9bOwuFQlQqlV3jV1UqlahWq3H9+vWBvg3ysA5zXMq7fZwGeR7b++XChQsHljlt57du30832yYVKV8bpLAd+1GHlPcJJ0c7ALfTAolaWlqKhYWFWF1dzXU933zzTa6vz+mV3U7aaVDv43wxn56ejnPnzsXly5djYWEhZmZmYnx8/NCvMzs7G7VaLebn5/esz/z8fNTr9W1BU7tyuRxTU1Mdn7t9+3ZERHzwwQeHrtugOsxxKa/2weA7bee3k3o/J8m1QXrsEyK0A4gQ4gEJy3sGx42NjTPVi4jeysby6nUgk407tL6+HvPz80f+HExOTka5XN63x1fW0252dvbQY5P98Ic/jIg4c5PTdLs/8mofnA6n7fx2mmZcdm2QHvuECO0AMkI84Mw6a+EDg6EXoc/jx49jY2Ojqx58WY+67PbPbmX1dFEN6XF+OzrbLj32CRHaAWSEeMCZddjQAgZF1rYvXbp0YNnsds/Hjx8feX2nYYZROE2c347OtkuPfUKEdgAZIR5wJk1PTwseOLV+85vfRETn8dh2ysrU6/VtPeoeP34cr732WkxPT3f9GkD/Ob8dnW2XHvuECO0A2gnxgDMlG8Tf7FacVu1h3GFCvIg/hn8REQsLC7GxsRGfffZZx+XaAz/jvkH/Ob8dnW2XHvuECO0AOvlWvysA0K5Wq8XMzExsbGxEvV6Per0e6+vre4YEy8vLMTMzs+35jY2NuHTpUkxMTMTk5GS88cYbMTY2Fvfv3+84nsa5c+d2PTYxMbHnrJzZOmZnZ2NhYWHb2GBjY2Px8OHDrkONx48ft0KSLBS5f/9+ayyz2dnZWFpaim+++Sbq9Xo8fPgwxsfHY3p6On7961+3AptCoRBLS0u7XrNer8fU1NSeg44/fvw4FhYWWmUjoqv3kL33bP31ej2azWbrfWQzlmb7sFwux8OHD3dNsjA9PR2rq6ut95e9/2q12tX2O6qj7L96vd7x9tSd7adarfb1lo/2X6ovXLhw5GUvX74c4+Pje34OarVaRPRmQPtO7anT5355eTk++OCDVplvvvkmHj58GBMTEwe+3lHaZ/t7Pei4dNz2cdRjylGPBal/hvc6Xke8Cpg7tbvbt2/vui18bGystT16YXZ2Nubn5yPiVXh94cKF1vnmIKme347ahg77fvbaJtn2zNrQD3/4w9bEPJ30+njRy2uDbJ/V6/UoFApRr9fjwoULcfv27a4/E8dpY73Syzoc5Tqjl/vkqNc5J216ejo+++yz2NjYiHK5HIVCoXXcPaieRz1/pH7u7UU7OMxxFAZGE+AQyuVyMyKa5XL5UMvNzMw0I6IZEc2FhYU9yy0sLDSr1WprPRHRXF9f71i2Wq02q9Xqnq8zNja2a33r6+vN9fX15urq6rbX3/m3n/n5+WahUGhOTU3t+dzMzMy+r9FsNpvj4+PNcrncXF1d3Va/sbGx5tjYWHN8fLw5Pz/fei57vNl8tT2r1WqzUChs2x9TU1OtdS8sLLTeYyfVanXXvlhfX2+Oj483I2Lbuju9z/b1Z+tYWFhojo+P79qGO/fF+vp6s1KpNJeWlraVm5qaakZEc3x8fO8Nd0zH2X/tbWSv9pOHbJ9MTEwcWHZ+fv7Az85OWfn2bbK6urrn56u9Tu3t96jm5+eb4+Pj29pTp7qvrq42JyYmmpVKpWOd21/vOO1zp26PS0dtH8dpk0c9FqTyGd5re66vrzeXlpZar5e95n7tbX19vVmtVpsR0SwUCs35+fmefSaXlpaa5XK5WalUdtVhdXW1VbesbXZqS6me347ahg7zfrL6tb9GtVrt2K6z64VOn4dms/fHi+Nsu3YTExOtdtduaWmpWSgUmuVyed/X6EUbO65e1+E41xm92CfHWf9JWVhYaBYKhY7bfGlpqTk+Pr7vdj7O+SP1c2+zebx2cJTjKAwCIR5wKHmHeJmdJ+tOr5cFWnvJwoxO69v5ZaJb2fvY78JvaWnpwMAl+6K58wtws/nH977z/XXaDtkXq3K53PrCu7OunYKWiYmJfb8Md3th076f9gt9snKFQqHZbDb3/TKerbvTtjmuXu2/ZnPv8CEPeYd42QX3ztdv/xLf7qAv2Ud10Oe+XdZO9qvDYdvnQce1w9Sv23K9apNHPRb0+zPczXbKXq+b9p/Vsxfhcibb/pVKZd9y2Q8zBx07Uz2/9aINdRvidRNMHLTPe3282FnHw8jO6Xu1u4OOMb1uY0fR6zr06jrjqPukV+vPU/aZO2ibV6vVju+lV+eP1M+9zebh28Fxj6OQMiEecCjtv7gf9a/bk+V+FxRjY2NdBQiFQqFnX3KyC6H9eidlst4jnS6sstfJvgx3kl0kHfQrcfY+sl/OO9Wj02tkIeFeF7hZHbu5sGr/UrbfxV/WdvYKhtrr3O12Poxe7b9MqiFe+5ftbmUhXqdtMzU11axUKs2ZmZltv7Ln1YOh2+2abZODjgOHbZ8HBU+9DPF62SaPeixor2s/PsPdbKfsi1Y3x6P5+fmuPifdWl9fb30+Dtrn7V9cDzrPpXZ+a1/uOG2o2xCvm/eX9frpxXG42+PFUbZdN4HjfnXIq40dRh516NV1xlHbcy+vc/LQ7TafmJholsvlXe2rX9c0/Tr3HrYdHPc4CikzsQVwJOVyOVZXV7v+22+8kqNYXl6Of/3Xfz2wXC/G68rcu3cvIl6N0XGQbOybbJl22fhC+9Xthz/84bayB8nGFtlpYmKiNb5eZnl5ufXfneNHZbKxQXbOWLqfCxcu7DtuS1a/Dz74YN+xgdpnS+2lXu2/1HW7vzr55ptvdj02MTER8/PzceHChajX63H9+vVYX1/f1a5S1237PMnZ7/Jok4c5FuyU6md4fHy8Nb5Ydvzay2effRYPHz7syXojIiYnJ2NjYyOq1eqB41KVy+WezNTcj/Nbu+O0oW51Mz5cNpB96gPad/s5ztrlzjEx+9HGdup1HfK6zuhWv9ffjW63eTYrazYObWZQrmn6de7t93EU8iTEA44su5Dr5q/XgwcXCoWYnp4+8Avdj370o0MP7t/J8vJyLC8vR6FQ6Grw26xcNtjwzteK2H/SgWyA/MNc1Ny+fburcu37ZL+Ll+zCqlOw08n169f3fT5rA1lAeVC5btfbjV7uv7OoUCjE+Ph4T7/En7Ru2+dJhXh5tslujwU7pfwZ/su//MuIiNbA6J1sbGy0JmbohfZt3e027cW6T/r81slR21C3utlO2fmpXq/vGcT02+PHj1sTERwUbHUKK/rVxtrlUYe8rjO61e/1H+Qw2zwL+d54443WY4N0TdOvc28Kx1HIixAPGEjZr4qXL1+O+/fv73mSnpiY6MmMU1mPuMP8Ap590c1meMtbt3UrFAqxuroa6+vrXW2bbn+h7nb93Zbr5S/jg7D/8nDYbXiaL2Tz6L1yHHm2yaO+15Q/w1lvrCw06WR2drarXindau/5cpK9NU76/NZJKp+XrB7Z7KKpyerVzfbaOZt1RP/aWLs86pDXdcagrP8g7dv8oB9FZmZmYn19fdtMsIN0TdOvY0kKx1HIy7f6XQGAo5iamorl5eWo1WoxOzvb+mWxUqnE9evXo1Kp9PSknF1wHSbkyC7Yd94CMTY2FrVabd9fHVdXVyPicBfUx7lQyrZltt6IP/4y3e0v1N2uP+tleJJ6uf9Sd5xeGr3u4ZGSVEKJTJ5tMu8Qrx+f4XK5HGNjY7G8vBw///nPO96OubCw0NOw59e//nXPXuswTvr81kkqn5dyuRz1ej1+85vf9LsqHWX1qtfrXQXIO/dbv9pYP+rQi+uMQV5/u2ybFwqFI513B+mapl/HkhSOo5AXIR4wsBYWFmJ2djampqa2/aqdXaBUKpWYn5/vSTCR/Up7mNf6t//233Z8/P79+zE9Pb3vl5LsPbTfPtFrGxsb8cEHH8Ts7GyUy+V4+PDhtrFZarVaX8aJyUMv91/qjtKbLts+g/qeB9FZapO9cv/+/bh//37MzMzsCvGWl5d7/oUsO6/0I9w+yfNbyk76NvfDyuo1Nja2a6y7wyzfz/2YZx36fZ3R7/Xv5bjt2fmjO46jnFZupwUGWrVabU2ekX2xy371q9Vqcfny5Z5coPXyV9pyuRwTExOxsbHRcZyf5eXlqNfrUa1Wc/uVcHl5OS5evBjT09Px6NGjWFpaag0efxqd9K/s/dTplq2jLEu+zlKb7JUsuMvGg2o3MzPT01tpU3BS57dBkPqt/mdlPxxGv68z+r3+PDl/dM9xlNNIiAcMpJ23A5TL5ahWqzEzMxOrq6uxsLDQug3nKLNxzc7ObgtAshP+YU70+82K9aMf/SjGxsbi3r17297L8vJyXLt2rfVe8lCv11sXLQsLCwM7UcFh9Hr/pax9fJ1uLvTb2/lBY/PQO2epTfZSFuTtPD7uNaPqcRxlH/XCSZ/fUpZCT7V2e10bHFW/2ljedTjJ64xO7Tn165wslD7qNnf+2G1nO8j7OAr9JMQDBtJBs3lVKpVYWlqKQqFwpFnt2sdMifhjuHGYXz/bb7PZ6YMPPoilpaV49uxZLCwsxO3bt+P27dvx2WefxbNnz3IL8CL+uO2q1eqhB7EelC9+O/V6/6WsfYydbvZX+5eAVMbB6sag/3J+ltpkL2W97dpnWOz1hBaZH/3oRz1/zW6c9PktZdnn/Lg/MPTqeLHXtcFRz439amN51+EkrzM6tefUr3MuX77c+v+jtM1+nj9SPffubAd5H0ehn4R4wEDa2Ng48EKrUCjE1NRURBz+omznRUp2MXDQVPXtsrI7x7Vr7zEyNjYWU1NTMT8/H/Pz8zE1NZXrF/T229AO+tLb6eJwZmbmUNsgFb3cf4PgL//yLyOiu4vt9gv7VHq7dGNQA+XMWWuTvTI2NtY6fmZB3vz8fC49bdq//J/kce+kz2+pat8OB30hP0ivjhd7XRvU6/Wut2v7OGz9amPtel2Hk77O2LndB+E6JztHR0TXk7YsLy+33ms/zx+pnnt3toO8j6PQT0I8YGB188tZ9mVv53g67WFFpwvvb775ZtsylUpl2xgaB2m/eNg5APvGxkbfLtbbL1L2Cws3NjYG5oteN3q5/wZBdoHfzUydn332WUSkEwxln82DehgM+gX3WWuTvTQ5ORkRr75s53EbbaZQKLTCwexzcpBeHdtP8vzWD92cX7LPRblc3rM3Va+PF8e5NmjvHbqfycnJ1nr62cYyva5Dr68zDrtPBuE6p32bd3vnxb1791rbIo/zR+rn3qMc145zHIWUCfGAgfXBBx8cWCb7gteph1F24u50QbKxsbFrmexCK/vVrpu6zczM7HqdsbGxqNfrMT09feDr5Gm/i9ef//zne96SOUi9tdr1av8NgkqlEmNjY13NvPf48eMoFAoxMTFxQrXbXzdj/UxPTw/kftnpLLXJXsp6sSwvL7dmrM1Ltm+6CWh6eUvWSZ/fTlo32zMLa+fn5/csk8fx4rDbLqtfN/usVqvtCiT71cZOog69us44anvu1frr9XrPw6tsmz9+/PjA115eXt51S3mvzx+DcO49bDs47nEUUiXEAwbWxsbGgUHY1NTUnhc42a+gO3/F3KtnR6VSiampqajVavte6NZqtZieno5qtbrnL57VajUmJyfjtddei0uXLsWlS5fi8uXLcfny5bh+/Xrcvn07Zmdne/6Le/uXh73eQzYQ9MOHD1v/zuzX66VXs6Xl9ct4L/ffScu2yWG2zaNHjyJi/4vYbDtkZVOQtdG9ehdsbGzEr3/961aQ0+1g3SnO5pdam0z9M5xp78XyzTff5DoEQblcjvn5+djY2Ng3LKzX6/HBBx/s+yXzME76/HaSJiYm4te//vW+57fJycmo1+sxMzOz7/7N43hx2G03NjYWMzMzsbGxse9tv/V6PSYnJ3fts361sbzqkMd1xmH2Sa/XPzs727pO66bXW7eybR6x/+3iGxsbHdtNr88fg3DuPexn87jHUUhWE6BLCwsLzYho/S0sLHS13OrqarNSqbSWGx8fb66vr++7zPz8fKv8zMzMruezx6vVanNqamrX8+vr681KpdKsVqt7rmN9fb1ZLpebhUKhubS01Hp8fHy8ubq6uudyMzMzzYhoVqvVXe9jamqqGREd69Rp3e3bc6+/crm857bO6rLXdupkaWmpWSgUmhHRnJ+f3/Vctn/W19db619fX2+urq7u2p7t+2m/97y6utpaZ6VS2XP/r6+vN6vVaus12/dLr/Ri/3X7vo9rfX1927oKhUJzYWHhwM9PJns/ndrP6upqazukZmxsbNfnstn847GkvZ0UCoXmzMxMx7bS6/Z50HHpsOvN9KJNHuVYcJi65vEZ7nZ7dpKdjw673FEtLCw0C4VCx8/LzMxMa5uMjY21jpvz8/MHtsuUzm+9aEP7LZedU7L1j4+P7zo2Ze2nUCjsOj/tpVfHi/Y6HOXaYH5+vlkoFJqVSmVXufn5+Y6Pt+tlGzuqXtWhl9cZzebh90kv1z8+Pt5q35VK5eCNeEjZNi+Xyx23Y6VS2Xcf9+L8kUn13Js5TDvoxXEUUiXEAw7UTdDUycTExIHL7bzgb79Y2vnXfhIeHx9v/f/8/HxzfHx81183F7bZBUm5XG6OjY0darmpqanm2NhYc2xsrFmpVJpjY2PNiYmJfS/Ss/oWCoXm1NRUxwuW9fX15tLSUnNmZmbb9mj/spNdQO/1d1DAurP+2TbbeaGztLTUChvbL3TaQ9mdf2NjY9ve6371bN9W+5XrdVB21P23X/vsVaBw0Dbb+XdQe11YWGiWy+XmxMREc2Fhobm0tNScmppqXYCnamf7nJiYaE5MTLSebw+KdranXrfPwxyXjto+jtomj3os6OdneL/t1L7ug2RfvE/K+vp6c2JiorV/qtVqs1qtbtuvnfZHJtXz21HbULfvp70+5XJ522PZeW58fLzV5vc6N+7nOMeLTnp5bVCpVLo+hx23jfVCr+pw3OuMTq93mH3Sq/Vnz5fL5VxCvExW1ywIztpNN5+F41yT7lWPFM69e73XbtpBr46jkKJzzWazGQCciMePH8ft27djYWFhz4G6d1peXo7Lly9HuVyO1dXVA8unMN5Ru73qs/PxbsulKvV61mq11u1r5XI5l9k8B9FJtbt+tI9erTPFz3B2a+J+46VxfKkf1+Ak3b592zGnRwb9mg/6SYgHcIJee+21+OEPf9jVrKHtJicnY3p6OpaWlnId/wlgEExOTsYbb7zheAicmPv373c9myxAXkxsAXBC6vV6bGxsxPXr1w+9bLZMr2dHAxhEy8vLAjwA4MwR4gGckAsXLkREdHVL7E5ZeOcWA+Cs2GuW28ePHx/pxxCAo3KbJ5AKIR7ACSkUClGpVOLnP//5nl9O9zIzM9NaHuC0q9Vq8dprr8Xly5d3PTczMxPVarUPtQLOqtnZ2XjjjTf6XQ0AIR7AScrGUrl27VrXy9y+fTuWl5fj2bNneVULICnZJCw7hxDIeuHpEQOcpIWFBbfwA0kQ4gGcoHK5HC9evIhyuRyvvfZaTE9P79krb3Z2Ni5duhQbGxuxurrq4hE4M8bHx6NQKGybCXJ5eTlmZmZiYmKijzUDzpr79+/H1NRUv6sBEBFmpwXom42NjZidnd1zptqxsbF4+PChHifAmVSv12NycjIiXo0pWigUfJEGTlS9Xo/Hjx/78QBIhhAPAAAAABLndloAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcd/qdwU4Wb///e/7XQXafOc734mIiD/84Q99rgkZ+yRN9kt67JM02S/psU/SY5+kyX5Jj32SJvslPd/97ndPbF164gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOK+1e8KAAAAg+HHY/93/PfGWr+rQZv/s1SML5f/v35XA4ATcGpDvM3NzXj33Xdjampq33L1ej1qtVoMDQ1FRMTW1lbcuXMnhoeHB6I8AACclP/eWIv/9v9c7nc1aPPv/vNSv6sAwAk5lSFerVaLubm5A8utrKzEo0eP4sMPP2yFZCsrK/HWW29teyzV8gAAAACcDacqxJudnY1GoxGjo6Nx/vz5ePny5b7lHz16tKuX2+joaBSLxZibm4tqtZp0eQAAAOBghgNIkyEBDudUhXjtIdcvf/nLfUO8lZWVaDQaMTIysuu5q1evxuzs7LbXS608AAAA0B3DAaTJkACHc2Znp11cXIyI6HiLarFYjIhX49OlWh4AAACAs+NU9cQ7jNXV1SiVSh2fyx5//vx5lMvlJMsDAL3jFpv0uL0GAGC7Mxvira2txfnz5/ct02g0ki0PAPSOW2zS4/YaAIDtzmyIt7m5eWBo1j6mXmrlAbqhd1F69C4CoJf+jz85F9/73vf6XQ12cL4H8nBmQ7yIiKGhoY6PZ2Ha5uZm0uUBDqJ3UXr0LgKgl/7X/2461yfI+R7Iw5kO8faS9XjrNMlE6uUnJyc7Pj41NRUREd/5zne6Wicn41vfevURtF/SYZ9wEk5D+/JZ4SSchvblswJn16B/7h2/OCnaWPfO7Oy0w8PDsbW1tW+Z9ttbUysPAAAAwNlxZnviHTYQS638XrIed3v5wx/+0JP10BvZLw72SzrsE07CaWhfPiuchNPQvnxW4Owa9M+94xcnZdDb2He/+90TW9eZDfGKxWI8f/6843PZLLDlcjnZ8medwfrTY/BeAAAAyM+ZDfGuXr26Z2iW3dbaHpqlVv6sM1h/egzeC0AvmXETAGC7MxvijYyMRETEyspKjI6ObntuZWUlSqXSttAstfIAAKeZGTfT5Ec7AOifUxviHTRJRKlUiitXrkStVtsWmm1ubsYXX3wR9+/fT7o8AAAAadKbGMjDqQrxnjx5EisrK1Gv12NzczMiIv7qr/4qisVijIyMxN27d7eVf/DgQbz33nvxySefxN27d6PRaMTs7GzcunUrrly5suv1UysPAABAevQmTo+exJwG55rNZrPflei3er0ez58/j+Hh4RgZGYlSqTRQ5Q/j97//fc9eq5++973vOSkm5t/956X453/+535X49hO2yxcPivp+b/+3+X4X//7zJ96k+SzkpZ/95+X7JME2S/psU/SZL+kxz5J02n4Hml22hNWLpcPNd5cauUhBW4ZgO74ZT5Nfp0HACB1QjygJwQTaRJMAAAAnA5/0u8KAAAAAAD7E+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQAOuTXIAACAASURBVOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDivtXvCqSgXq9HrVbb9tjNmzejVCrtW35oaCgiIra2tuLOnTsxPDzcl/IAAAAAnG5nPsRbXFyMRqMR1Wq19Vij0Yj3338/fvKTn0S5XN5WfmVlJR49ehQffvhhK1RbWVmJt956a9tjJ1UeAAAAgNPvzN9Ou7CwEDdv3tz2WKlUinv37sXMzMyu8o8ePdrVK250dDSKxWLMzc2deHkAAAAATr8zHeLV6/U9e7aNjo7Gixcvtj22srISjUYjRkZGdpW/evXqrlty8y4PAAAAwNlwpkO8tbW1eP78eWxubnZ8fmfAt7i42PHxiIhisRgRr4LBkyoPAAAAwNlwpkO8ixcvxubmZrz11lvRaDS2PffkyZO4du3atsdWV1f3nOwie/z58+cnVh4AAACAs+FMh3ilUikqlUo0Go3467/+69btqisrK7G6uhp3797dVn5tbe3A12wPA/MuDwAAAMDZcOZnp81mpa3VajE7OxsLCwsxMjISDx482FV2c3Mzzp8/v+/rvXz58sTKAwAAAHA2nOmeeJk7d+60bld98eJFPHv2LFZWVjqWHRoa6vh4Fr7tHF8v7/IAAAAAnH5nvidevV6Pjz/+OO7cuRMRER999FFsbm7G+++/Hw8ePIgrV6509TpZD7m9Zrs9qfKTk5MdH5+amoqIiO985ztdrQ8AAAAgb3KK7p3pnniNRiPee++9+MlPfhJXrlyJK1euxM9+9rMYGRmJiD8Gepnh4eHY2tra9zXbb4fNuzwAAAAAZ8OZ7ok3NzcX165di3K53HpseHg43nnnnfjkk0/i6dOnUavV4ubNmxFx+AAt7/KdZD3u9vKHP/zh2OsAAAAA6IVBzym++93vnti6znRPvOfPn8frr7/e8bm7d+/GyMhIrK6uth4rFot7zg6bPd4eCOZdHgAAAICz4UyHeBH7jzE3OjoaxWKx9e+rV6/uWTa7DbY9ZMu7PAAAAABnw5kO8crlcrx48WLP5xuNRoyOjrb+nY2V12nm2pWVlSiVSttCtrzLAwAAAHA2nOkQ786dOzE3N7dt8opMvV6Ply9fbgvxSqVSXLlyJWq12raym5ub8cUXX7RmuD2p8gAAAACcDWc6xCuXy3Hv3r14991348mTJ1Gv12NlZSU++eSTqNVqcf/+/V3LPHjwIDY3N+OTTz6JiFe99T766KO4detWXLly5cTLAwAAAHD6nenZaSNejXs3OjoaKysr8fz58yiVSnH9+vUolUp7LvPOO+9EvV6PJ0+exPDwcFSr1b6WBwAAAOB0O/MhXiYL87pVLpcPNT5d3uUBAAAAOL3O9O20AAAAADAIhHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACSuryHe2tpabG1t9bMKAAAAAJC8b+X1ws+ePYvNzc3Wv0dHR+P73/9+67m5ubnW86VSKR48eNB6HgAAAAD4o9x64m1ubsbc3Fw8f/48hoaGYmhoKCIiFhcXY3Z2NjY3N+PGjRvx9ttvx40bN+Ldd9/VKw8AAAAAOsitJ16xWIw7d+7EjRs3tj0+NzcXEbHtuZGRkSiXyzE3Nxf37t3Lq0oAAAAAMJBy64n3/PnzXQHeixcvYm1tLYaHh3c9Vy6X43/8j/+RV3UAAAAAYGDlFuJlt8+2e/78eUREXLp0qeMy586dy6s6AAAAADCwcgvxOgVyKysrEfHq9lkAAAAAoDu5hXidZD3xRkdHdz23tbUVzWbzJKsDAAAAAAMhtxCv2WzG7373u9a/nz59GhERpVIpvv/97+8qPzc3F3/xF3+RV3UAAAAAYGDlNjvtX/zFX8R/+A//IV5//fV4+fJlLC4uRsSrWWnbffXVVzE3Nxebm5tx9+7dvKoDAAAAAAMr14ktPvzww2g0GrGyshLFYjF+8pOfxI9//OOIiFhcXIy/+qu/ivfeey/q9Xo0Go346KOP8qoOAAAAAAys3HriRby6dfbtt9/u+NyVK1fiypUrea4eAAAAAE6FE53Y4iDtY+gBAAAAAK8kFeK9++67/a4CAAAAACQnqRBvc3Oz31UAAAAAgOTkOibe2tpa1Gq1eP78eUTsH9I1Go08qwIAAAAAAyu3EG9tbS3++q//Oq+XBwAAAIAzI7cQ75NPPolisRg3b96MUqkU58+f37f86upqPHr0KK/qAAAAAMDAyrUn3tTUVAwNDXVV/uLFi0I8AAAAAOggt4ktisVi1wFe5saNGznVBgAAAAAGV24h3kG3z3Zy586dHGoCAAAAAIMttxDvz/7sz+Krr7461DKffvppTrUBAAAAgMGVW4h348aN+C//5b/E7373u66XefLkSV7VAQAAAICBldvEFhERDx48iLm5ufjFL34Ro6OjcenSpT3Lfv3113lWBQAAAAAGVq4h3rNnz+LLL7+MRqMRi4uLea4KAAAAAE6t3EK8xcXFmJ2dbf37oJlqt7a28qoKAAAAAAy03EK8zz//PK5duxZ37949MMCLiNjc3Iw333wzr+oAAAAAwMDK9XbaarXaddnh4eGuwj4AAAAAOGtym522XC4fepkHDx7kUBMAAAAAGGy5hXhHMTIy0u8qAAAAAEBycgvxrl69Gk+fPj3UMn/zN3+TU20AAAAAYHDlFuKNjIzE0NBQfPrpp10v02g08qoOAAAAAAys3Ca2+PLLL+Pb3/521Ov1ePPNN+PSpUtRLBZjeHi4Y/l+B3iNRiOePHkSL1++jPPnz8fLly/j/v37Hetbr9ejVqu1JuLY2tqKO3fu7Pne8i4PAAAAwOmWW4j3j//4j7G1tdX698rKSl6rOraVlZV49OhR/OQnP2lNyNFoNOKjjz6Kd955p2PZDz/8sBWqraysxFtvvbXtsZMqDwAAAMDpl1uId/78+Yh4NTZeNxqNRnz11Vd5VWff9b7//vvx4YcfbptR98mTJ/H8+fPY3NzcFpw9evRoV6+40dHRKBaLMTc3F9Vqddvr510eAAAAgNMvtxBveHg4bt26FdeuXet6mTfeeCOv6uzpo48+iitXrmwL8DKlUmlbmLayshKNRqPjLLpXr16N2dnZbSFb3uUBAAAAOBtym9iiWCxGqVQ61DLZGHAnpV6vx4sXL+L111/f9Vy1Wo1/+Id/2PbY4uJiRETHW1qLxWLrNU+qPAAAAABnQ24h3oMHD+IHP/jBoZb52c9+llNtOvvlL38ZEREXL17sqvzq6uqewWT2+PPnz0+sPAAAAABnQ2630w6CLBArlUpRq9Xi66+/johXs8HevHlzV6C2trbWGutvL+2z7OZdHgAAAICz4URCvKdPn8bz58+j0WhEqVSK//gf/2Pruffffz+uX78eP/7xj0+iKtusra1FxKvbWMvlclQqlYh4dcvqW2+9Fe+88862sfI2NzcPDNlevnx5YuUBAAAAOBtyu502IuKrr76KN998M+bm5lqTNuwMod5+++347W9/G0+fPs2zKh1tbm5GxKtgrD2sK5fLMTIyEjMzM7uW2Wvcvix8y17zpMoDAAAAcPrl1hNvbW0t3nvvvbh48WK8/vrrMTIyEhcvXozZ2dldZe/cuRNzc3Pxu9/9Lr7//e/nVaU9dZoNdnR0NGZnZ2NlZSVGR0cPfI0snOw0KcVJlp+cnOz4+NTUVEREfOc73+lqfQAAAAB5k1N0L7eeeJ9//nncuHEjPvzww7hx40Zr8ohz5851LH/nzp34xS9+kVd19tVpMolsNtiVlZXWY8PDw7G1tbXva7XfDpt3eQAAAADOhlx74r399tuHWqbZbOZUm85KpdKBE0Vk4+ZFHD5Ay7t8J1mPu7384Q9/OPY6AAAAAHph0HOK7373uye2rtx64nV7m2i7//k//2cONdlb1jtwv3Hm2oO1YrG4Z+iXPd4+tl7e5QEAAAA4G3IL8Q66LbRT+ZOeefXSpUsR0XnG16z+7aHZ1atX93ytfpQHAAAA4GzILcT7N//m38SvfvWrXY/vdcvs559/3uoZd1IqlUpERLx48WLXc7/97W8jYnuwlk2A0T5OXmZlZSVKpdK2kC3v8gAAAACcDbmFeLdu3Yqf/vSn8emnn257vNPEFnNzc1Gr1eLu3bt5Vaej4eHhuHHjRszNzW17fHNzM549exZ37tzZdltwqVSKK1euRK1W21X+iy++iDt37mx7PO/yAAAAAJwNuYV45XI5/v2///fx5MmTePPNN+Pv/u7v4unTp1Gv1+PZs2fx9OnT+Pjjj+PNN9+Mp0+fRrVajaGhobyqs6e7d+/GxYsX47333ouVlZVYXFyMd999N27duhU3b97cVf7BgwexubkZn3zySUS8Gqvuo48+ilu3bsWVK1dOvDwAAAAAp19us9NGvArIvv3tb8enn34aX3zxRXzxxRcRETE7O7ut3L179/oaUD148CDq9XrU6/U4f/58/Kf/9J/2nZjjnXfeiXq9Hk+ePInh4eGoVqtRKpX6Vh4AAACA0y3XEC8i4ubNm3H9+vX45JNP4osvvmhN0FAsFmNkZCRu3boVxWIx72ocqFwuH2q8udTKAwAAAHB65R7iRUQMDQ1FtVqNarV6EqsDAAAAgFMltzHxAAAAAIDeOJGeeJ3UarU4d+5clEqlKBaLSdxSCwAAAAApyq0n3sOHD/d9/vz58zE8PBxff/11fP755/Hxxx/nVRUAAAAAGGi59cT7+uuv931+52y0jUYjHj16FPfu3curSgAAAAAwkHLriXfu3LlDlS+VSvHy5cucagMAAAAAgyuZiS22trbixYsX/a4GAAAAACTn2LfTrq2tdQzfNjc341e/+lU0m819l280GtFoNKJWq0WlUjludQAAAADg1Dl2iLe5uRmNRiN++9vfxpdffrntuZ/+9Kddv06xWIw7d+4ctzoAAAAAcOocO8S7ePFiXLx4sfXv2dnZePbsWUREjIyMHLh8sViMcrmsFx4AAAAA7KHns9NWq9WIiFhcXIy333671y8PAAAAAGdOLhNb3Lx588Cx8AAAAACA7uQS4pVKJePbAQAAAECP5BLiRYQx7gAAAACgR3IL8Y7i448/7ncVAAAAACA5SYV4i4uL/a4CAAAAACTnWLPTbm1tRa1WiytXrkSxWNz23NOnTw/1Wqurq8epCgAAAACcWscK8d5999148eJFPHnyJP7pn/5p23MLCwuxtrZ2rMoBAAAAAMcM8ZrNZkREDA8P73pueHg4hoaG4urVqx2f36ler8dXX311nOoAAAAAwKl0rBDvb//2b2NxcTFGRkZ2PVcsFuP111+PGzdudP16b7zxxnGqAwAAAACn0rFCvGKxuGdIVyqVolQqHer1hoaGjlMdAAAAADiVjhXi7efOnTuHXuZnP/tZDjUBAAAAgMH2J/2uAAAAAACwPyEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJ+1a/Vlyr1eLcuXNRKpWiWCxGsVjsV1UAAAAAIGm59cR7+PDhvs+fP38+hoeH4+uvv47PP/88Pv7447yqAgAAAAADLbeeeF9//fW+z1+5cmXbvxuNRjx69Cju3buXV5UAAAAAYCDl1hPv3LlzhypfKpXi5cuXOdUGAAAAAAZXMhNbbG1txYsXL/pdDQAAAABIzrFvp11bW+sYvm1ubsavfvWraDab+y7faDSi0WhErVaLSqVy3OoAAAAAwKlz7BBvc3MzGo1G/Pa3v40vv/xy23M//elPu36dYrEYd+7cOW51AAAAAODUOXaId/Hixbh48WLr37Ozs/Hs2bOIiBgZGTlw+WKxGOVyWS88AAAAANhDz2enrVarERGxuLgYb7/9dq9fHgAAAADOnFwmtrh58+aBY+EBAAAAAN3JJcQrlUpHGt/u008/zaE2AAAAADDYcgnxIuJIY9zVarUcagIAAAAAg63nY+J1srW1FS9fvmz9fydff/11bG5unkR1AAAAAGCg5BriPXv2LJ48eRKNRiPP1QAAAADAqZZbiLe4uBizs7Otfw8NDe1bfq8eegAAAABw1uUW4n3++edx7dq1uHv37oEBXkTE5uZmvPnmm3lVBwAAAAAGVm4h3vnz56NarXZdfnh4uKuwDwAAAADOmtxmpy2VSode5sGDBznUBAAAAAAGW24hXrPZPPQyIyMjOdQEAAAAAAZbbiHe1atX4+nTp4da5m/+5m9yqg0AAAAADK7cQryRkZEYGhqKTz/9tOtlGo1GXtUBAAAAgIGV28QWX375ZXz729+Oer0eb775Zly6dCmKxWIMDw93LC/AAwAAAIDOcgvx/vEf/zG2trZa/15ZWclrVQAAAABwquUW4p0/fz4iXo2N141GoxFfffVVXtUBAAAAgIGVW4g3PDwct27dimvXrnW9zBtvvJFXdQAAAABgYOU2sUWxWIxSqXSoZYaGhnKqDQAAAAAMrtx64j148ODQy/zsZz/LoSYAAAAAMNhy64l3FM+ePet3FQAAAAAgOcmEeFtbW1Gr1fpdDQAAAABITm630/7ud787VPlf/vKXsbm5mU9lAAAAAGCA5RLivXjxIt56661DLzc8PJxDbQAAAABgsOUS4rWHcfvNOLu1tdUqc/78eSEeAAAAAHSQS4hXLBYjIuKdd96JH/zgB/uWXVlZiVqtFn/+539+YFkAAAAAOItyGxMvIroK5UZHR2N0dDTm5ubi/Pnz8f3vfz/PKgEAAADAwMltdtq33377UOXv3LkTv/jFL3KqDQAAAAAMrtxCvJGRkUMv02w2c6gJAAAAAAy23EK8ozh37ly/qwAAAAAAyUkmxFtbW2vNVgsAAAAA/FEuE1usra1FrVbrunyj0Yjnz5/HrVu38qgOAAAAAAy0XEK8zc3NePLkyaGWuXjxYty4cSOP6gAAAADAQMslxCuVShERUSwW953gYnh4OL797W/HxYsXjzQRBgAAAACcBbmEeENDQxER8c4770SxWMxjFQAAAABwZuQ6sYUADwAAAACOL7cQ77PPPsvrpQEAAADgTMm1Jx4AAAAAcHy5jInXydraWjx//jzq9XpEvJr84sqVK265BQAAAIAD5B7ibW1txczMTCwuLu56bm5uLkZHR6Narcaf/umf5l0VAAAAABhIud5Ou7W1FZOTk60Ab2hoKIrFYhSLxdYMtisrK/HWW2/Fv/zLv+RZFQAAAAAYWLn2xHv33XejVCpFtVqNkZGRjmUWFxfjF7/4Rbz//vvx93//93lWBwAAAAAGUm498Wq1WhSLxXj77bf3DPAiIq5cuRJTU1Pxp3/6p/Ff/+t/zas6AAAAADCwcgvxvvzy/2/v/oGbytK8Ab/z1USWO5uVpjpamw5b2rBlUkyKIdlETjpoM1ULAU5w1WKCNlMLwYqt6q3aAgck9gQdDIjUIsViQ6lDLE3I9U7Wvk75AlZauy0bA7Z0QM9T1TXje4+u3u5b+nN+On9exZ/+9KdTt//hhx9ia2vrvMoBAAAAgM/WuYV4b9++Hax7dxqlUinevn17XuUAAAAAwGfr3EK8QqHwwY/56quvzqESAAAAAPi8nVuIt7u7+8GPybLsHCoBAAAAgM/buYV43377bfz3f//3qdu/ePEivv322/MqBwAAAAA+W+cW4l27di3+67/+61RB3vPnz2NzczMWFxfPqxwAAAAA+Gz9/rwuPDU1FbVaLf793/89/vjHP8Z3330X09PTg7Xy8jyPLMtie3s78jyPW7dufdBGGAAAAAAwKc4txIuImJ+fj+np6Xj48GE0Go1j29VqtahWq+dZCgAAAAB8ts41xIuIqFar8eTJk/jrX/8ar169Gmx4MTU1FXNzc3H16tUoFovnXQYAAAAAfLbOPcSLeBfYLS4uWvMOAAAAAD7CuW1sAQAAAACcDSEeAAAAACTuo6fTdjqd2NzcjN/97nfHtvm3f/u3I8eeP38eOzs7UalUolwuWw8PAAAAAN7jo0O8crkcV69ejUePHsX+/v6h45VK5djdZq9cuRIR70LAZ8+eRZ7ncf369ZiamvrYUgAAAADgi/ZJG1tUq9WoVCrxL//yL/HNN9/ErVu3Th3GlcvlKJfL0e12Y21tLZaXl+Mf/uEfPqUcAAAAAPgiffKaeI8ePYpr167Fv/7rv37UaLrZ2dm4c+dO1Ov1Ty0FAAAAAL5InxTivXr1Kt6+fTuYIvuxCoVCVKvV+Mtf/vJJ1wEAAACAL9EnhXibm5vxpz/96UwKWVhYiFardSbXAgAAAIAvyUeHeL1eL4rF4pluSPGP//iP8csvv5zZ9QAAAADgS/DRId7Ozk7Mzs6eZS3xzTffRJZlZ3pNAAAAAPjcffTutPv7+zE9PX2WtURERJ7nZ37ND9Vut6PVasXS0tLQ891uN5rN5mAU4v7+ftRqtSgUCmNpDwAAAMCX7aNDvKmpqeh0OmdZS7x+/Tr+6Z/+6Uyv+THW19djZmZm6Ll2ux3r6+tx//79QajWbrdjZWXl0LFRtQcAAADgy/fR02lLpVL0er2zrCX+9re/RalUOtNrfqhGo3HilN719fUjo+IqlUoUi8XY3NwceXsAAAAAvnwfHeKVy+XIsiz+9re/nUkhvV4vsiyLb7/99kyu9zHetx5fu92OLMuiXC4fOTc3NxfNZnOk7QEAAACYDB8d4kVEfPfdd/Hw4cMzKeThw4dRrVbP5Fofq9FoxMLCwrHnW61WRMTQKa3FYjEi3q1nN6r2AAAAAEyGTwrxarVavHnzJv7jP/7jk4qo1+uRZVnUarVPus6naLVa7w0Rd3Z2jp3u2z9+cJ3A824PAAAAwGT4pBCvVCrFpUuXYnt7O/785z/H//zP/3zQ43d3d+PPf/5zvHr1Kubn5wejzcbh9evXUalUTmyzu7v73uscnJJ73u0BAAAAmAwfvTtt39LSUuzs7ES73Y4bN27E5cuXo1qtnri23S+//BLb29uDNd7K5XL88MMPn1rKR2s0GnHt2rX3tsvzPKanp09ss7e3N7L2AAAAAEyGTw7xIiIePHgQa2tr8csvv8TW1lZsbW1FxLuReoVCIaanp2Nvby/yPD8ykqxcLsedO3fOooyPkmVZFAqFoevQDTM1NTX0eD98y/N8pO0BAAAA+PKdSYgXEbG6uhqNRiP+8pe/DI69b+pnrVaLK1eunFUJH6XRaMTS0tInX6c/Qu60YeB5tb99+/bQ4w8ePIiIiD/84Q+nej4AAACA8yanOL0zC/EiIhYWFuLy5cvx17/+NV69ejV0jbdisRjVajWuXbt27KizUTnNZhYHFQqF2N/fP7HNwemw590eAAAAgMlwpiFexLvpoIuLi7G4uBj7+/uxt7cXWZZFqVSK6enpsQd3x/E+jgAAHfZJREFUfXmex+vXr2NxcfHUj/nQAO282w/TH3F3nL///e+f/BwAAAAAZ+Fzzym+/vrrkT3XmYd4B01NTcXU1NRYd509zs7OTnQ6nVhbWxt6/uC51dXViHg3irDT6Qxt3586PDs7Ozh23u0BAAAAmAznGuKlrFKpRKVSOXI8z/P4/vvvo1wux/Ly8qFzc3Nzx4Zs/WmwB0O2824PAAAAwGT4f+Mu4HNSLpcjIqLdbh851263o1QqHQrZzrs9AAAAAJNBiPcBSqVSVKvVaDabh47neR7b29tRq9VG2h4AAACAySDE+1/dbjfW1tbixo0bEfFu59qbN29GvV4/1G55eTnyPI+NjY2IeLdWXb1ej6tXrw7d6fa82wMAAADw5ZvYNfF+a3Z2drCBxfusrq5Gt9uNRqMRhUIhlpaWolQqja09AAAAAF82Id5Hmp2d/aD16c67PQAAAABfLtNpAQAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEvf7cRcwbq1WK16+fBl5nsfe3l5cuHAharVaFAqFoe273W40m82YmpqKiIj9/f2xtgcAAADgyzfRIV6j0YiIiOXl5YiIyPM8fvzxx7hx40asrq7G7OzsofbtdjvW19fj/v37g1Ct3W7HysrKoWOjag8AAADAZJjY6bRZlkWWZbGwsDA4VigU4u7du5HneTx8+PDIY9bX14+MiqtUKlEsFmNzc3Pk7QEAAACYDBMb4jUajUMBXl+hUIhqtRpZlkW32x0cb7fbkWVZlMvlI4+Zm5uLZrN56Nh5twcAAABgckxsiLezsxMrKyuRZdmRc8ViMSLiUIjXarUiIoZOaR1HewAAAAAmx8SGeNPT05Hn+dAQb5idnZ0olUpDz/WPdzqdkbUHAAAAYHJM7MYWy8vLkWXZkc0rIiJ6vV5E/N8IuIiI3d3dmJ6ePvGaBwPB824PAAAAwOSY2JF4hUJhaICX53l0Op2YmZmJSqVy6Pj77O3tjaw9AAAAAJNjYkO84/R3gb1+/fqRc1NTU0Mf0x9B99sg7rzbAwAAADAZJnY67TDtdjuazWYsLy8PHaV3nP4IuWGbUoy6/e3bt4cef/DgQURE/OEPfzjVcwIAAACcNznF6RmJ97/yPI+HDx9GrVaLarV65HyhUIj9/f0Tr3FwTbvzbg8AAADA5DAS73/V6/W4evVqLCwsDD3/oQHaebc/Tn/E3XH+/ve/n8nzAAAAAHyqzz2n+Prrr0f2XEbiRcTjx4+jUqkcCfAOrkFXLBaP3R22f/zgFNzzbg8AAADA5Jj4EK/ZbMbU1NSRAC/Lstje3h78PTc3d+w1+tNgD4Zs590eAAAAgMkx0SFeu92ON2/exOLi4pFznU4nisXi4O9yuTx4zLDrlEqlQyHbebcHAAAAYHJM7Jp4WZbFw4cPo1gsDt3RtdfrxZMnTwZ/l0qlqFar0Ww2o1KpDI7neR7b29tx/fr1Q48/7/YAAAAATI6JHYlXr9cjz/Po9XpD/4l4t2PsQcvLy5HneWxsbETEuyCwvyHGsB1tz7s9AAAAAJNhYkfivW8X1+Osrq5Gt9uNRqMRhUIhlpaWolQqja09AAAAAF++iQ3xPsXs7OwHrU933u0BAAAA+LJN7HRaAAAAAPhcCPEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASJwQDwAAAAASJ8QDAAAAgMQJ8QAAAAAgcUI8AAAAAEicEA8AAAAAEifEAwAAAIDECfEAAAAAIHFCPAAAAABInBAPAAAAABInxAMAAACAxAnxAAAAACBxQjwAAAAASNzvx10AR3W73Wg2mzE1NRUREfv7+1Gr1aJQKIy5MgAAAADGQYiXmHa7Hevr63H//v1BaNdut2NlZeXQMQAAAAAmh+m0iVlfXz8y6q5SqUSxWIzNzc0xVgYAAADAuAjxEtJutyPLsiiXy0fOzc3NRbPZHENVAAAAAIybEC8hrVYrImLolNlisRgR79bLAwAAAGCyCPESsrOzE6VSaei5/vFOpzPKkgAAAABIgBAvIbu7u+9tk2XZCCoBAAAAICVCvITkef7eNnt7eyOoBAAAAICUCPESMzU1NfT49PR0RJwu6AMAAADgy/L7cRfA6fRH4A3b9OKg27dvDz3+4MGDiIj4+uuvz7awMXn79u24S+A33JE0uS/pcU/S5L6kxz1Jk/uSHvckTe5LetyTNLkvH8ZIvIQUCoXY398/sU1/RB4AAAAAk8NIvIScRUDXH3HH56E/ctJ9S4d7kib3JT3uSZrcl/S4J+lxT9LkvqTHPUmT+5KeUd4TI/ESUiwWj919tn98dnZ2lCUBAAAAkAAhXkLm5uaOPdefZivEAwAAAJg8QryElMvliIhot9tHzrXb7SiVSkI8AAAAgAkkxEtIqVSKarUazWbz0PE8z2N7eztqtdqYKgMAAABgnIR4iVleXo48z2NjYyMi3q2FV6/X4+rVq1GtVsdcHQAAAADj8Lu3b9++HXcRHNXtdqPT6UShUIhyuRylUmncJQEAAAAwJkI8AAAAAEic6bQAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4n4/7gJgEnW73Wg2mzE1NRUREfv7+1Gr1aJQKIy5ssmV53n8+OOP8eDBg3GXAklrtVrx8uXLmJ6ejr29vYiIqNVqdlFPTLvdjlarFUtLS+MuZeJsbGxERMTly5cHr4s8z+Pp06fxxz/+Mebn58dZHhGRZVk0Go3Y29sbvJddv37d97ARu337dly/fj1KpZL/9gnq91cOWlhY8Hk/Rv33roP0IUfntP3F8+7rC/FgxNrtdqyvr8f9+/cHL+R2ux0rKyuHjjE6zWYzNjc3x10Gv9EPi/I8j729vbhw4YIvKmO2sbERX331VSwvLw+OPX78OG7evBn379+P2dnZMVbHQevr6zEzMzPuMibS/v5+NJvNeP78eUREFAqFyPM8yuVyLC4ujrk6+t/Dbt26NXjPyrIs6vV6rK6ujrm6yZFlWfR6vVhZWTmx3Z07d6JSqYyoKvparVZkWXboh6Asy+LevXuHXjuMTqvVikePHsX9+/cHQWqj0YiVlZX46aefxlzdl++0/cVR9PVNp4URW19fPxJEVCqVKBaLgqQRe/z4caytrUWe5zE9PT3ucjig0WhElmWxvLwcq6urcffu3djZ2YkbN25Et9sdd3kTKc/z6HQ6sbCwcOh4/+9Hjx6NoyyG6L9+GJ+DAers7OzgvYzxOi6EaDQa0el0Is/zMVY3WXq9XkRElEqlmJmZOfJPqVSKcrkswBuTra2tI5/3pVIpfvjhB5/3Y5DnedTr9SMzH/r3qD8CnLP3of3FUfT1jcSDEWq325FlWZTL5SPn5ubm4vHjx6Y+jdDB/9YvX74cTA1kvLIsO/Lrb6FQiLt378b3338fDx8+9IvjGHQ6nej1elGv1w+NxOt/mex3yBgv4V0a7t69a9Rwgur1elSr1aGjiEzpHK0sy04cwV2v1+P69esjroqId1MBj3stVCqVuHfv3ogr4unTpxERQ/uQ5XI5nj9/bqT3OfmQ/uKo+vpG4sEItVqtiIihH4zFYjEiwigjJl6j0Tjy62/Eu9dNtVqNLMu8TsZgZmYmCoVCXLhwYeh5nd80HPf6gUnX7Xaj1+vFxYsXj5xbWlry49CI/frrr8cGeM1mMyqVis+VMdnd3T1xZKr7MnqdTiciYuh6hP3XUbvdHmlNHDWqvr4QD0ZoZ2fn2MVg+8f7b9IwqXZ2dmJlZWXoiCJh9/iUSqV48uTJkYCofy+G/erIaLVarahWq+MuA5L08uXLiAhrRSbi2rVrQ4/neR7tdtsGMGM0MzMTeZ4P/S7WaDTi0qVLY6pscp0026E/xdOMiPEbVV/fdFoYod3d3ffOpTcVikk3PT0dvV4vsiyzA9pnoL9zXa1WG3MlvH792nSaROzt7UWz2Yxff/01IuxCn4KDI1mazWa8efMmIt7dGztujt5xr4VHjx6ZRjtmpVIp5ufno9lsxs2bN2NpaSnm5+ej3W7Hzs7OoSU1GI3+Bkkn0Yccv1H19YV4MEKnWRDTumxMuuXl5ciybOg0m/6vjP0ReYxXt9uN7e3tuHPnjg7wmDUajWNHtjB6jUbj0Lo3rVYrbty4cWhXQUZrd3c3It7di9nZ2cFIr263GysrK7G6umrHzTHrdrtRLBaF3Qnov381m814/PhxbG1tRblcFuCNSbFYPHakXb/vqA85fqPq65tOCyM2NTU19Hj/BW9nNCZdoVAY2pHq7446MzNjt7ox29jYiLW1tVhbW4vr16+7H2OWZVkUCgUd30QsLCwcWbi6Wq3ahX7M+t+v9vb2Dn3GzM7ORrlctuNmAjY3N/0YkZCDO6H2er148eKFddfGpL9kybBRXP1lTfQh0zCKvr4QDxLRT+V1wmC4fufXNJvxW1xcjNXV1Xjy5Em8fPkybt++7cvjGDUaDetHJeS4kXYXLlyIVqtlytOYDVu/s1KpRK/XE1CMUbvdjr29Pd+DE9EfoVqr1Qaj7/I8j3v37g0W72d0FhcXo1AoDF1Prf+Z4rWTtrPs6wvxYIQKhULs7++f2OZ9Q3BhErXb7Wg2m7G8vGy6U2KWl5ej1+vFysrKuEuZSDaz+HwcHNHC+AwLWftLNAjxxqfZbB67+zmjlWVZrK2txa1bt6JarUa1Wo0nT54MAvB6ve6HuzFYXV2NRqNx6IegjY2NmJubiwhLzaRgVH19IR6MkIAOPlye5/Hw4cOo1WrCikRVq9XIsmywyQWjked5vH792nTmxBzXue3/+m4k3nicZi3C/rp5jF6r1bJeZCI2Nzfj0qVLh340LRQKsbq6GleuXImI8Hk/BrOzs3H//v1otVrRaDQGa+H2P3O++eabMVfIqPr6NraAESoWi8duK93/Um+UERxWr9fj6tWrsbCwMO5SJlqr1Tp299ODo1hM6xydnZ2d6HQ6sba2NvT8wXOrq6ujLG1i1ev1aLVa8dNPPx0JJPodLUHFeMzMzESWZZHn+bHTmfzYOh79EZCmA6ah0+kc+5mxuLgYvV4vdnZ2RlwVEe9eI7/9PtzvQ87MzIyjJA4YVV9fiAcjNDc3d+wLuz/0VogH/+fx48dRqVSOfGE5qRPG+Xj06FHkeR6VSuXIyK/++5cO8GgNuxcR714f33//vZ0Ex6D/3jTstdD/Am/K03j01yQctu6a72Dj1Z9i7jMkHSd9x6pUKvHrr7+OsBpOsrOzE+Vy2Q9ECRhVX990Whih/loSw9ZcabfbUSqVfIGE/9VsNmNqamroL47b29tjqmpyFYvFuHLlytDQqP+LvGmdTLqZmZn4z//8z6Ed4P7u2j7nx6M/SnjYmoSvX7+OiBisLcVoCbjTMjs7e+LanVmW+bwfsW63G99///2RTUW63W70er2o1WpjqoyDRtXXF+LBCJVKpahWq0fWkcjzPLa3t70Bj9H7FiFltNrtdrx582bo1M1Op+OL/hhcu3Zt6PH+F8hyuWzNQibetWvXBjtpH9Tfldbu2uNTKBTiypUrR+5Pnufx4sWLqNVqRniPiXUi01Kr1WJzc3Po+p7dbjf29vaEeCPWX69zamrq0PFHjx7FlStX/Dg0Iu/rL46qr/+7t2/fvj2TKwGntra2FjMzM7G4uBhZlh07ZZDz1Wg0ot1uR7fbHXxRKRQKUSwWo1wuDw2QOH9ZlsXKysqxQV2v14snT57obI1Bs9mMdrsdlUolZmdnY3d3Nx49ehRzc3OxtLQ07vImXrfbjc3NzUPvaaVSKWZmZkyrHaFutxvPnj2LixcvRrFYjJcvX8arV6/i1q1bOloJ6O+subCwEPv7+/H06dO4ePGi72BjtLa2Fp1OZ+hakoxHu92Ozc3NuHjxYpTL5djb24t2ux37+/sC7zGp1+uDz5Xd3d14+vSp/soIfEx/8bz7+kI8GJNutxudTicKhYJ1DOCA27dvnziNIyLi559/HlE1DNNut6PX6w0CIu9fcFT/dTIzM2PUSmK63W50u92Ynp6OcrkskBiz/v2wMVJ6fN6npX8/CoVCzM3Nee9K2Hn29YV4AAAAAJA4a+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJO734y4AAAB+q9lsxps3b2J/fz/29vbi4sWLUa1Wx10WAMDYCPEAACZYs9mMx48fH3u+VqvFwsLCsedbrVbU6/Ujx2dmZuLBgwcfXdebN29id3c3Wq1WRERcuHDho68FAPAl+N3bt2/fjrsIAADGK8/zWFlZiSzLIiJieXn51CPf8jyPH3/8MXq9XszPz0etVotCoXAmddXr9Wi1Wu8NEwEAvnTWxAMAIAqFQtRqtcHfe3t7H/TYy5cvR7lcjqWlpTML8CIiisXimV0LAOBzJsQDACAiIqrV6iCA29ra+qDHttttI+UAAM6REA8AgIFLly5FRESv1xtMrX2fPM+j1+tFpVI5z9IAACaaEA8AgIHLly8P/n+j0TjVY5rNZszPz59XSQAAhBAPAIADSqVSlMvliIjY3t4+1WPGHeLleR7dbvfEkYNZlkW32x1hVQAAZ+v34y4AAIC0XL58OTqdTuR5Hq1W68RdarvdbhSLxRM3s2g2m9Futwd/53kec3Nznxz8/fM///Ohv69cuRKLi4uDv9vtdty7d+9Qm/v378fs7OzQ63W73Xj27FnkeR6FQiHyPI9SqRQLCwtRKpU+qVYAgE8lxAMA4JD+Bhd5nsfTp09PDPGePXt24oYWjx8/joWFhUOBXbfbjbW1tdja2oq7d+9+9G62P//8c2RZFvfu3Rs6Cq9SqcTPP/88NMz7rY2NjXj+/HksLy8f+vfd2NiImzdvxp07d6z5BwCMlem0AAAccZoNLt63oUWj0Yhms3lkbb3Z2dm4fv169Hq9qNfrn1Tnwem/x6lUKicGhY1GI54/fx5Xrlw5ElguLi7GzMxMPHz48JPqBAD4VEI8AACOOLjBxdbW1tA229vbJ06J7Yd/nU7nyLl+WNaftjsueZ7H5uZmFAqFQ1NxD7p48WLkeX7qjT4AAM6DEA8AgCNKpVLMzMxERMSLFy+Gtmk0GieGeLVaLWq1Wty6devY54iIEzekOG+bm5sRESeO5uufO7iuHwDAqAnxAAAY6tq1axERgw0uDjrNhhaFQiEWFhaO3UhiamoqIiL29vbOqOIP19+B98KFC8e26de/u7s7kpoAAIaxsQUAAEMd3OBia2vr0HpxzWbzxA0tfivLsmi1WpFl2SC0SyEU60/lffny5YkjAmdmZmJ6enpUZQEAHCHEAwDgWJcuXYrnz59Hp9OJLMsGU2A7nU4sLS299/GtViuePn0a+/v7sbCwEAsLC4Nr3L59O3q93rnWf1qXL18+cWowAMC4mU4LAMCxhm1w0Ww247vvvnvvYzc2NqJer0epVIqffvop5ufnBwFeKvr1jHNzDQCA0xDiAQBwrGEbXGxtbR0K94bpdrvx/PnzKBQKsby8fKrnyrIsut3uB9fYX1vvJMeFdP1NK3Z2dj74eQEARkmIBwDAiQ5ucLGxsRHT09PvHVHX6XQiIo7d1CIijkyl/dgQ76uvvjrx/Em7yvbX9evXe5K1tbUPKwwA4AwJ8QAAOFF/g4uIiOfPn793FN5Bx21e0W63B9fc398f/O/HbB7RHyl43HM1m81jd9EtlUqxtLQ0CCiPs7Gx8UH/3gAAZ02IBwDAe83NzUVERKFQOLRL7XH6699lWRaNRuPQuW63G81mM27duhUR73aGjXgX7PUDub7+aL2TprtWKpWYmZkZbL5x0MbGRszPzw/CwZcvXx6ZWjs/Px/Ly8vx4sWL2NjYOHJ+Y2Mjvvrqq1P9ewMAnJffvX379u24iwAAIG1ZlsXNmzfjypUrsbi4eOrHNRqNQUjXn4J74cKFwTTWRqMRz549i+np6ajVaoOg7ObNm0cCuYh3o+4ePHhw7HMdHOEXEXH16tWYnZ2N27dvx+7ubkxPT8fU1NTQ3WjzPI/Nzc3Y2dmJ6enpwXX61wAAGCchHgAAp9JsNmNubu7YqakAAJwfIR4AAAAAJM6aeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIkT4gEAAABA4oR4AAAAAJA4IR4AAAAAJE6IBwAAAACJE+IBAAAAQOKEeAAAAACQOCEeAAAAACROiAcAAAAAiRPiAQAAAEDihHgAAAAAkDghHgAAAAAkTogHAAAAAIn7/6eYaZjTArolAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 398,
       "width": 632
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins = np.arange(0, 11, 1)\n",
    "\n",
    "# Count the number of items falling in each bin\n",
    "bin_counts = [data.count(item) for item in range(0, 10)]\n",
    "    \n",
    "plt.bar(range(0, 10), bin_counts, width=1, edgecolor='k')\n",
    "plt.xticks(bins)\n",
    "plt.title('Histogram of $10^5$ uniformly distributed data, counts')\n",
    "plt.xlabel('Value')\n",
    "plt.ylabel('Count items')\n",
    "plt.savefig('uniform-dist.png', dpi=200)\n",
    "plt.show();\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's plain visible that bins contain pretty much the same number of values, namely around $10^4$, which is our total divided by the number of bins itself. Indeed, the difference between the highest and the lowest counts in a bins is"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "312"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "max(bin_counts) - min(bin_counts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "corresponding to a proportion of the total number of points equal to "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00312"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(max(bin_counts) - min(bin_counts) ) / n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "very little!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This histogram is doing a good job in showing us the data is uniformly distributed. What we have shown is, again, the *number* of values in each bin, which is not the probability. \n",
    "\n",
    "In order to have a PMF instead, we'd have to ideally take, for each of the values extracted, its count and then divide it by the total number of values to obtain frequency counts. Note that these are the probabilities of each possible value and they sum up to 1:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9999999999999999"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "freq_counts = [item / n for item in bin_counts]\n",
    "sum(freq_counts)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Then we can easily plot them to obtain the PMF histogram:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 398,
       "width": 620
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.bar(range(0, 10), freq_counts, width=1, edgecolor='k')\n",
    "plt.xticks(range(0, 10))\n",
    "plt.title('Histogram of $10^5$ uniformly distributed data, probs')\n",
    "plt.xlabel('Value')\n",
    "plt.ylabel('Frequency (prob) items')\n",
    "plt.savefig('pmf-uniform.png', dpi=200)\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### A gaussian distribution"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's consider a gaussian distribution instead, taking the same amount ($10^5$) of numbers and plotting the bins counts again. This time we extract float numbers, randomly sampled from a gaussian distribution of mean 0 and standard deviation 1. We then separate the range in 20 bins and plot the histogram of the counts of each bin as above. We use a line to signify that effectively our variable is meant to be continuous.\n",
    "\n",
    "We attribute counts for a bin to the middle point of the bin."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = np.random.normal(size=n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 398,
       "width": 626
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins = 20                                                                            # choose to separate into 20 bins\n",
    "hist = np.histogram(data, bins=bins)\n",
    "hist_vals, bin_edges = hist[0], hist[1]\n",
    "bin_mids = [(bin_edges[i] + bin_edges[i+1])/2 for i in range(len(bin_edges) -1)]     # mids of bins again\n",
    "  \n",
    "plt.plot(bin_mids, hist_vals, marker='o')\n",
    "plt.title('Histogram $10^5$ normally distributed data')\n",
    "plt.xlabel('Bin mid')\n",
    "plt.ylabel('Count items')\n",
    "plt.savefig('gaussian-dist.png', dpi=200)\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each bin is large"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.42651501057702657"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bin_edges[1] - bin_edges[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So, it is quite clear from the plot that the mean is indeed at 0. We can also do the same histogram but showing the pdf instead:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 398,
       "width": 618
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins = 20\n",
    "hist = np.histogram(data, bins=bins, density=True)\n",
    "hist_vals, bin_edges = hist[0], hist[1]\n",
    "bin_mids = [(bin_edges[i] + bin_edges[i+1])/2 for i in range(len(bin_edges) -1)]\n",
    "\n",
    "plt.plot(bin_mids, hist_vals, marker='o')\n",
    "plt.title('Histogram $10^5$ normally distributed data')\n",
    "plt.xlabel('Bin mid')\n",
    "plt.ylabel('PDF')\n",
    "plt.savefig('pdf-gaussian.png', dpi=200)\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Because what we plotted above here^ is a density of probability, what sums up to 1 is not those values but the product of value times the bin width:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0000000000000002"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum([(bin_edges[i+1] - bin_edges[i]) * hist_vals[i] for i in range(len(hist_vals))])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Effectively indeed, if we take for instance the first bin, its density represents the probability of being in that bin divided by the bin width itself, which is:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00018756666943976733"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "hist_vals[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The power-law"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 398,
       "width": 639
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Use 100 bins\n",
    "bins = np.logspace(0, 4, num=100)   \n",
    "z = np.random.zipf(a=2, size=n)                     # Zipf (power-law) x^{-2}\n",
    "\n",
    "hist = np.histogram(z, bins=bins)\n",
    "hist_vals, bin_edges = hist[0], hist[1]\n",
    "bin_mids = [(bin_edges[i] + bin_edges[i+1])/2 for i in range(len(bin_edges) -1)]     # middle point of bin\n",
    "\n",
    "# Main plot: in linear scale\n",
    "plt.plot(bin_mids, hist_vals)\n",
    "plt.xlabel('Bin mid')\n",
    "plt.ylabel('Count items')\n",
    "plt.title('Histogram $10^5$ pow-law distributed data')\n",
    "\n",
    "# Inset plot: in semilog (on y)\n",
    "a = plt.axes([.4, .4, .4, .4], facecolor='y')\n",
    "plt.loglog(bin_mids, hist_vals)\n",
    "plt.title('In log-log scale')\n",
    "plt.ylabel('Count items')\n",
    "plt.xlabel('Bin mid')\n",
    "\n",
    "plt.savefig('powlaw.png', dpi=200)\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Using boxplots as a visualisation tool"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another very useful and quite comprehensive way to display distributions is through the use of *boxplots*. Boxplots let you see, in one go, the quartiles, the mean and the potential outliers in a distribution.\n",
    "\n",
    "To start off with, let's generate $10^5$ random numbers extracting them from a (in order):\n",
    "\n",
    "* uniform distribution\n",
    "* gaussian distribution with mean 0 and standard deviation 1\n",
    "* exponential distribution\n",
    "* Zipf distribution $\\propto x^{-2}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's set the styles of our boxplots: the mean will be a red romboid point, the median a red line, the outliers blue circles.\n",
    "\n",
    "Also, we identify as outliers those points which exceed the first or the third quartiles (on the respective sides) by 1.5 their value, according to [Tukey's criterion](http://www.physics.csbsju.edu/stats/box2.html).\n",
    "\n",
    "Following on, we create boxplots for each of our distributions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Extract the random points\n",
    "\n",
    "n = 100000                                                             # the number of points to extract\n",
    "\n",
    "u = np.random.uniform(size=n)                                          # uniform\n",
    "g = np.random.normal(size=n)                                           # gaussian\n",
    "e = np.random.exponential(size=n)                                      # exponential\n",
    "z = np.random.zipf(a=2, size=n)                                        # Zipf (power-law) x^{-2}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set style of the plot\n",
    "\n",
    "# Style of the point for the mean\n",
    "meanpointprops = dict(marker='D', markeredgecolor='black', markerfacecolor='firebrick')\n",
    "\n",
    "# Style of the outliers points\n",
    "flierpointprops = dict(marker='o', markeredgecolor='blue', linestyle='none')\n",
    "\n",
    "# Style of the median line\n",
    "medianlineprops = dict(linewidth=2.5, color='firebrick')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 378,
       "width": 585
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Uniform distribution - boxplotting\n",
    "\n",
    "ax = plt.subplot()\n",
    "\n",
    "ax.boxplot(u, whis=1.5, showmeans=True, vert=False,\n",
    "           meanprops=meanpointprops, flierprops=flierpointprops, medianprops=medianlineprops)\n",
    "\n",
    "plt.title('Box plot of a uniform distribution')\n",
    "plt.savefig('uniform-box.png', dpi=200)\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Clearly the mean is in the middle of values and there are no outliers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 378,
       "width": 585
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The gaussian distribution\n",
    "\n",
    "ax = plt.subplot()\n",
    "\n",
    "ax.boxplot(g, whis=1.5, showmeans=True, vert=False,\n",
    "           meanprops=meanpointprops, flierprops=flierpointprops, medianprops=medianlineprops)\n",
    "\n",
    "plt.title('Box plot of a gaussian distribution with mean 0 and std 1')\n",
    "plt.savefig('gaussian-box.png', dpi=200)\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The symmetrical tail of \"outliers\" is visibile."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABJIAAAL0CAYAAABXkB1iAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOzdf2ykd30n8M/4xzreX5lsQgJZHQcOTRqgFXgTFXRw6oH3moNe6REHclUrVXeq95+lh66t91bVQeldL+ctQhQiKi+6A4lTofGCjvToBWxSoVBBE7xVESU/wM5xl82SdLN2dtf7w7v2c3/MPuOxPTP+2p6xx5vXS4qyO/PM83y+3+f7nZ3nPc88TyHLsiwAAAAAYAVtm10AAAAAAFuDIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSdGx2AQDQ6qanp2NsbCwmJyejt7c3+vr6NrskYAuanJyM6enpmJycjNOnT0dfX1/09PRsdlktYXp6Ok6fPr2ojwYHBze7LACqKGRZlm12EcArT6FQWPVrisVi7NmzJ/r6+uLAgQPR29vbhMqubUePHo3R0dFFH9SnpqaiWCxudmkt68iRI/HAAw/E0NBQ3HXXXXHo0KE4ffp0jI+Pb3ZpQKJWeO87evRoHDhwYNFjo6Ojgumr9u3bF8ePH1/0mMMUgNbkp23AppiamoqpqakYGRkpP1YsFmNiYqL83NL/xsfH48CBA/HQQw/Fvn37Yv/+/TE9Pb2Jrdh69uzZE3v27CkfSFHfoUOH4tChQzE+Ph4DAwNRLBZjbGwsjh8/HmNjY5tdHmx5R44ciRtuuCEOHTrU1O20wnvfwMBAZFkWo6OjSctvVN9slJXaMz4+HlNTUzEwMLDBlW2Ma21/Aq9szkgCNt1tt90Wk5OT0dfXl/wBe//+/TE2NhbFYjHGx8f9NGCVpqen44YbboiI2NBv5Y8dOxb9/f0bsq31Ghsbi/3798fAwEAMDw9HxOJ+Gx8fd1YcLLHaOV55dupGvBdt1nvfUvnZN/XOSNqovtmo9+XU9kxOTsZtt90WEa19RlKrj3WAZnJGErDp1vJhanR0NIrFYkxPT8f+/fubUNW1bbM+wG6lb2Lz8KjypyjFYjGyLIupqSkhElSx2jmez6Oenp4NeV9qlYP3PXv2rLjMRvXNRr0vp7YnpW9aQauPdYBmEiQBW9bQ0FBElL69PHLkyCZXQ4rTp09vdgnJ8mt1VDvbzUEAVLfaOT4+Ph6jo6MxMTHRpIq2ro3qm416X77W9rWxDrySCZKALesDH/hA+c9//ud/vomVkGJ6enpLXdMqv46K0AjSrHWOu9h0bc3um41+X75W9rWxDrzSCZKALatYLJYP8pfe6YXWc/To0c0uAWgic3zrsc/WRr8Br3SCJGBL20pnuLzS5dccAq5N5vjWY5+tjX4DXukEScCWVXkLZ6eLt7YjR45s2i23geYzx7ce+2xt9BtARMdmFwCwVpXfCN53332bWAm1TE5OxtDQkJ8BwDXKHN967LO10W8ACwRJwJZUeae2vr6+GBgYWPE109PTcfTo0RgdHS1fW2l6ejp6e3vj8OHDyy6qvG/fvprXXpqamlq2/JEjR6reDnhwcLB8h7nVOnLkSDzxxBMxOTkZ09PTcfr06ZiamoqIiLGxsRgeHi4/Pj09HX19fXHo0KGqdxpbj9X2XUTEgQMHqn7gLhQKyx5bTx81qt7Jycm47bbbVqx3YGCgYT9rOHbsWIyOjpa3HxF1a8zlbcvHxeTkZGRZFhGldj7wwAPldU5OTkZPT08cPny4fPvpRjt+/HgMDw/H5ORkFIvFmJycjD179sR99923bG42el5t1BxZy5iKaP6+Wk3fN7qe9czxyn2Tb6va/l9qrXNmox09ejRGRkYionQ9vz179sRtt90Wg4ODK752tX2Tj4HK56enp8vbO3ToUHzwgx+M3t7ede2zpXOtWCzG+Ph4RJT2S37Tizxwyc8UXuu+XtoneX+ePn06Jicn46677qo7l6uN9WrbPX78eDzwwAPlZU6fPh2HDx9etK82Y6y36nsOQEREZACbrLe3N4uIrK+vL2n5iYmJrKenp/yaqampFV8zMjKSFYvFbGhoqOZzw8PDix6fmprKxsfHs+Hh4axYLGYRkUVENjIyUnUbU1NT5brybU1MTCS1qZbh4eFsYGBg0fazLMsGBgayoaGhRW2fmprK+vv7s4jIBgcHV1x3vr6V+m8tfVdZ09TUVDYxMbFoe0v/a6RG1Ds1NVWz3kYZGBjIRkdHl20/34e1xlnejmrjYnR0NOvv719WZz7Hlm6vEQYHB7Nisbis3vHx8axYLGY9PT3Lxmkj51Uz50huPWOqmftqtX3fjHrWOsdHR0ezgYGB8r5NeS9az5yplLq9tRgfH896enqyvr6+Ze//ExMTWX9/fzYxMZH19fXV7NfV9M3AwEA2MDBQ9bnR0dGq+2+t+2zpXOvp6cmyLMuGhobK4390dHTRuFpte/L6ls7lavNreHg4i4iq8zLLSmO9v79/0Vivtt2JiYlscHCwvE9qrXMjx3qrvucA5ARJwKZLDZImJiayoaGhRQeUKfIPm/UOMsbHx+seXObPr/Rhq6+vL+vt7W34AUrlh/P+/v66NeQHVbUOLnIpH2gb0XdZtvzAoFkaVW+WNfdgc3BwsG7ImPrBvvKAZmJiouY+z5fLD/waZWBgoLzttWy3kfOqGXMkyxo3phq9r9bb942uZ61zfOlBeS2NmjNZ1ry5nY+Dlf4t6+/vL4cK9epdqW+Gh4ez3t7eutsaGRmpuZ217rN8rvX09GTj4+OL/i3O50u1sZm6ryvrWmku5+1LnXsr7fN8HNX7fNHssd6q7zkAlQRJwKbLP7gVi8Wsv7+/6n+9vb3lb9cGBgaSz/TJP2ylHDDmIVWtD2/58/UOzFb6UL9WlR9cVwpAKpet90F0pQ+0jey7jQiSGllvljU3SIqIrLe3t+Y4ztuS8sG+8oCrXq35gev4+Pia666UcgCXZQuhTa0Ds0bNq2bMkWaNqfXuq0b1fSPHznrmeMpca8acaeTcnpqaKv8btdJ6Kw/wVwq+6tXa29ub9IVKsVhsaJCUvy4/82qpoaGhmvNgtUFSSvvyM4ka8X6+0pxZWt9qbeS/u5Xb2+h/H4BrnyAJ2HSr/Wlb/pOY3t7eFX/KkK875cNR/uGwWCzWXCb/wNrf3191W+v9KdtKtaUe/ORnK9Rry0rra2TfbUSQ1Oh93eyzFlY6WEndfr7cSgceKQdbq5EfNK805lMO8Bsxr5oxR5o1pta7rxrV940cOxtxcN3oOdPon6qmBgBZliWdkZRl9WtNCROzLKt5Vs96g6TVtDe32iApZR9VniG1nu1m2eYHSa36ngOwVFsAbDEDAwPx7LPPxvT0dNx3330179h2/PjxOH78eBSLxaSLSObL5Re4rGZkZCSKxWIcO3Ysjh07Vn78wIEDcfjw4YZf5LpWnSvJL048PT29qM5Uzei7ZtpK9fb09ERPT08Ui8XyxWhrLRdRurBsiv3799d9Ph83jbht9bFjx2J6errclnry5+ttt9HzqhFzpJljaj37qtF9v956NkKz5kyjVO7z1DuINuLC4MViMY4cOVLz4vW5u+++O/bs2bPu7VXT7DumpvRTPiYmJyfX9O9dq2jV9xyAagRJwJZULBbLd+45duxY1Q+z+R1kVnMQetddd0VElO8OU227+XP33XdfTE5OxtjYWERE9Pf3pzegySrbnPfTajSj75ppK9VbLBZjYmIipqamkg4Wpqenk9a7ESFmLh9TKdusPBCsdZCyGfNqpTnSzDG1nn3V6L5fbz0boVlzplHysRoRdYOuRsvvyrdv3744cOBAzUBpcHCwaXfkapWxk9exln/vWkWrvucAVNOx2QUArFVPT08MDAzE0aNH49ixYzE2NrboQ3z+4X4138TmB16VBwZL9fX1xeDgYBw5cqQcYOW3QG4lPT09MTk5Gd/73vdW/dpm9V2zbLV6lzp+/HiMjY3FxMRE+bH8rIrUsys28kAhH1OTk5Nx4MCBFZdPOYjdjHlVb440c0ytZ181o++34kFmI+ZMozzxxBMbur3c0NBQuR+OHj1aPiulr68v9u/fH319fU2/pXurjJ31/HvXKlr1PQegGkESsKUdOHCg/OF5aGhoUZCUfyu9mp8Q3HjjjUnLDQ0NxdjYWBw/fjwGBwdXUfHGyT9Yr+VU9Wb2XTNstXojSjU/8MADcfTo0ejp6YnDhw/HwMDAogODjT6zIlU+pnp7e2N4eLhh693oeVVvjrTqmGpW328FrTpn8n3SiJ+rrdbo6GgcPXo0hoaGynWMjY2Vg4W+vr7yT0evZdfCT7Na9T0HoBo/bQO2tMpvW5d+I9fsb6XzU8pTrlGxmdZybYyN/kZ/vbZavcePH4/Xv/71ceTIkfjsZz8b4+Pj0d/fv+UO9ppx0L4Z86raHGn1MdWqIWOzXCtzphkGBgZiYmIiJiYmYnh4OAYGBspnoIyNjcW+ffteMeOlWdeC2git/p4DUEmQBGx5tQ4k8g/Sq/kA/dJLLyUtNzY2FqdPny6fEfDud7+75T6or+db8mb2XTVHjx5d1zfJG13vekxOTpYP7EZHR1vq2lqpmvUziY2eV/XmSKuOqa36E5X1zPFWnzNrGSuNsPTLk/zn3sPDwzExMRGjo6Pls+5+67d+a9XrX+/78kbazLPCllprv7Xqew5ANYIkYMur9aErP7NhNd/yVf5spN72Dh06FCMjIzEwMBD9/f0xPT29pg/qzZS3Je+H1WhW39VSeZ2Ttdjoetcjv/7PwMDAqi/M2yoHdXl/N7KezZhX9eZIq46pZvT9RljPHG/1OXP33Xc3fRvVrHTHtL6+vhgfHy/fEXG11vu+vJHyzwFr+feu2nrWY6391qrvOQDVCJKALa3ypy9LDzDyD9mr+XlMvuwHP/jBmsvcd999i+6Q8tnPfrb8QX2jbyVfS2Wb13J75mb1XS3r/fC+0fWuVX5754hY8ULJ1Q4mhoeHW+JnlHl/T05OJu+7la5fs9HzaqU50qpjqhl9vxHWuv2tMGcq/+3ZyPk5PT29YlBWLBZjaGgoIlYfqm32mElV2Q9r+feuUiOCx7X2W6u+5wBUI0gCtrRDhw6V/7z0IKOvr2/RdSJWUvlhNL+t8lL5HaUqf15SLBbjm9/8ZrmGZn8DnvIh9YEHHoiI0qnya7kddaP7rvLnBtXqP3369LqubdGMfd0MlWNjpbPeWvkgrrK/U0OeQ4cO1fzZSaPnVSPmSKuOqUb3faM0a45vhTlTLBbLP7fLb+G+kkYFTilnGuXjZWn/N/t9uRFS9mk+P+v9e5e3daWzfVLeZ5rVb636ngNQjSAJ2LKOHTu26M401a6bkV9rJf9Gtp78wHJ4eLjqQdfY2Fg88cQTVT+w9fb2lu8ytd5vRFfy0EMP1X1+cnKyfHBReYbHajWy7yIWDmZq3SFrvQe6ja632eodID300EM170LUCtcAiVgYW3lf1jM2NlbzAK8Z86pRc6RVx1Sj+r7Rmj3HW3nO5GMkJdxby8/MakkZA5OTk9HT01P3WmDN2mfrldKf+RdK9eZyyvWHjhw5ktzeZvVbq77nACwlSAI23Vq+RT527Fj5wLKnp6fmB8i+vr7yLcXrfSAdGxuLI0eOxMDAQNUD2rGxsdi/f3/dn1YMDQ1FT09PHD9+fMWfYKzHyMhI3W9N834ZHh5e13UTGtV3uTzoW/pNa36Qs16NrrcZKg/oa9WYX1D48OHD5b/n6vXVRt/xJ7/9/PT0dN2QZ3JyMg4dOlT1wKhZ86pRc6RZY2q9+6oRfd/IenLNmOPNnDONlP87ND09XXecTk5OxgMPPFA3iFiN6enpOHLkSN1lhoaGao6BZr8vr8fg4GA88cQTdc/eOnToUExOTibN5YjaZ/pMT0/HE088ER/4wAciYuWLWDer31r1PQdgmQxgE0xNTWVTU1PZyMhIFhFZRGTFYjGbmJgoP7f0v4mJiWxkZCTr6+srv6a/vz9pe8PDw1lEZAMDA9nU1NSi54aGhrKIyIaGhpa9bnx8PBsYGChvr9oylW3q6ekpLzs4OFhuz3pNTU2V1zs1NZX19/dno6Oji5aZmJjIent7s2KxmI2MjNRdX2W/Dw8P1112rX1XrQ09PT1ZsVjMxsfHy4/39/dnExMTK74+VSPqreyflLatxvj4eFYsFrOIWLafxsfHs/7+/vKYj4isp6enPP4HBgbWVOfExER5m319fQ0Zk5U1FIvFrK+vb9l+zOfr0sebMa8aPUcqbeSYWs2+WkvfN7OetczxlPeiZs2Zld771mJ0dDQrFovLtptlpXGU92Fvb2+51pGRkUX9lVpr/vjAwEDVfTg1NZX19fVVraVymdXus3w+rLYPU/s+34/59qvN5ampqWxgYGBVczmf+0v7emJiorxf8velYrGYDQ8PV90v+fabMdZzrfqeA5ATJAGbIv9ws9r/isVi1tPTUz6YXI2pqalsaGgo6+3tzXp7e7O+vr6st7e35rpq1VDrQ1ZlwLX0v/UGJZUHybnh4eGsv78/6+/vL7dlaGio7ofA/v7+mjX29vbW3f5q+q7eegYGBrKenp6st7c36+/vr/lBfT3WWm+9/mnkgefS+vL9uPTD/vj4eDlEqTwYrDfWKvdj5YFEM8Zlrfb09fVlfX19VQ9emjWvGjVHVtPGlDHV7H21mr7fqHpS5ni9uVYrFFnPnFnre99aTE1NZYODg+X9MTAwkA0MDCx6/8iDpMr/Vts3lV+kjIyMlPuk8r+U99fUfVat5sr/loY9q21PZT09PT2LHmvUXF46hgYHB7PBwcHy85UB92aN9cr1t+J7DkCWZVkhy7IsAGhp09PTccMNN0REhLftzdEK1wtZi1p1b9X21HItzJFW21etVg+ty5jYmsxxYK0ESQBbwLVwkAzNZI4AAGwMF9sGAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSALYAh566KHyn48ePbqJlUBrMkcAADaGu7YBtLB9+/bF8ePHqz7X19cXo6OjG1wRtBZzBABgYwmSAAAAAEjip20AAAAAJBEkAQAAAJBEkAQAAABAEkESAAAAAEkESQAAAAAk6djsAlI8//zzm13Cut10000REXHq1KlNrgQaw5jmWmRcc60xprkWGddci4xrNtqtt9665tc6IwkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCQdm10A17bxd75z2WP7HntsEyoBAAAA1kuQdI35jd/4jXj00Uc3u4yyh3t6lj22d+/eTahk87zrXe+KL3zhC5tdBgAAAKybn7ZdY1opRKLEPgEAAOBa4Yyka9SJEyc2u4SIqP7TtlapbSO80s6+AgAA4NrmjCQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkjaIF1dXdHV1bXZZQBb3N69e2Pv3r2bXQYAAPAKJUgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiSuKadOnYpTp05tdhkAAABwTWpIkDQzMxOHDh1qxKpgzU6dOhX33Xdf3HfffcIkAAAAaIJ1B0ljY2Nx8ODBePHFFxtRD6xJHiI988wz8cwzzwiTAAAAoAk61vrCo0ePxgsvvBA///M/Hzt37oxz5841si5IVhki/aPOzoiIcpg0MjISN9100yZXCI2xd++rImLu6p83t5Zr36s3uwC2mPb2iPn5iCxb/HihkEWWFda0zkJh8foKV1ezdBuVOjpKtVy+XKpnwerH9NLtR0S0tZUeLxSymJ8vxPx86e9tbRE7d2bR0ZHFxYuFmJ0txOXLi1/b1ZXF3FzElSuF8vpvvnku9u6dix//uDNmZgrL+nBpmwuFiF27srjllrk4c6YQL7/cHpcuLdS2bVsWHR0RFy8u3n57e0R3dxbt7RFzcxHnzxciy0rr6+yM6OycjytX2iLLItra5uO660qvn5srxO7dc3H77XPxm785E/fcU9rYI490xec/vyNOnGiPjo6IN7zhcvT0zEV3dxa7dmURkcV3v9sVZ84UrrYhi6ee2hbT04Voa4soFudj377ZeNObrsSFC4V46aW2+MEPOuO559rj8uVSW3bsyOK1r52Lu++ejfe//0LccceV8nafe679aj9HXGWzKnAAACAASURBVLpUiPn5Qlx//Xz84i9eir6+i3HiREccP94Z3/9+Z8zMRMzOtkVHR6lvOjuzeM1r5qOn50rceON8dHdnceFCISYn2+Pv/35bnDtXiG3bsrjhhvlob484c6YtIrLYvTuLYnE+Ojuz+OlP26OrK1/P5fi7v9sWzz7bcXUfzkdbW1vs2JHF619/JfbvvxgRhTh7thC7dmXxjneU+vDb3+6K48c745lnOsrruvfe8+U+zj3ySFd8+cvb48yZQuzencW9956P3t5CPPpoIX7wg93xwgvtccstc7FjR2mQzMwU4sc/7ojp6ba4eLEQe/bMx913z8Zb3zobJ050LKrjjjuurHpeLLW0vp6eyzE52RknT7bFyy+X+uFVr5qPN77xcnk/Vnr66Y749re76tb19NMd8ZWvdMcPf1j6nFu5rmqvz/u32jpTtrea5VKsZl31lq187sKF0ptDPufy5da6rVrra0YbK1/zla90xxNPbIuTJ9uivb099u6NeMtbdlUdK9eqRo61ZtcVUXtuvdIUsqzex5E0hw4dihdffDE+97nPNaKmZZ5//vmmrHcj7b161HfixIlrYjupxt/5zmWP7XvssYatf2mI9Ee33hoREb///PPx/y5fjttvv31Tw6RW2x+NlPepM7+ab+/eW6J0AunaDkYBaIzOzlI6d/nyxl9mdD2h5Faya9d8/PZvn42IiE99alecPdu8vn7b2y7Fhz98Nt75ztlVv/Yzn9mxpvruvHM2PvrRMxER8clP7orvfrerZl0RER/72O548sltVde1fft8nD+ftv0777wcEVnVdVX2w2OPbVuxrtT+Ws266i17552zEVGIJ5/srLu9Xbvmq+6P1Wyr3uuqWUt/PfbYtvjYx65fsT133nk5PvrRl9c0PreCRo61jaqrms2sdb1uvXrsvBaCpA0iSFrQqCCpWohUbG+PiIjpubmWCJNabX80kiBpY+zd++ooBUjX/sEDwMqyaNz7Ycq66i2Tf4QuVFmu1usaUX8z193MOir7a+GxnTuzOH++dFbVwmsX9+3rXjcXWZbFT37Ssej1pXBt6TqX1rF839x112w8+WRnzMy0RVtbFn/8x9Nx//0XVmpw2Yc/XIyRke7y+nfsyGJmphDLt1drjGRXz/grxI4d8/He916MW26ZixdeaI+vfe26mJlpW9a2jo4sfuZnFs7MKfXXQnt2787ir/6qqyJszOLd774YN96YxVe/2h2XLpUe37ZtPn71V5dvr60ti/7+C3HsWHfMz9euK7W/vvjF7TE4eH3SurKsUHPZ//k/r4vZ2bZyH8zNlfqto6PUt6UzHBf38113zcbb3z674ra6urKrZzQuXl+hkEVnZxazs/Xbu5o25q//4he3x+/93vVVQuFq86M0xj/+8dWNz61gLX23WXW99FJbfPObXZHvm0Ihi3e9qzS3NrPWRhAkbQGCpAWNCJLqhUi5VgiTWm1/NJIgqfmciQTXoo0+2N9sa2lvK/TR0jCg9kHfwYNnY24u4k//dGfN13R3z1/96czSg97q2/7n//xCfOMb21es8oMfPBePP94Vzz6bn9mwUt+tFIytP+T6F//iQvzv/52HLPW309aWxZ/92Uvx1rdejk9/emc8+OCuRc/v3XslHn74VPzoRx3xa792Y8zPF5acmVUrLMqfi6rPFwpZfO5zp+N739sWDz64q1xHyhkFn/nMjvijP9odEYXYt+9SvOMdl+JP/mRXjTqy+O3fPhN//dfXxfh417Ln3/e+83HkyMuxc+fC4di5c6Wg46tfXdj/Bw6ci3//78/Gzp1ZPPbYtvjX//rGJUHEQjB14MC5yLIsjh4ttevw4TPxX/7L7vLyS9t67lxhWd8fPHg2PvShc8vqypdbqb8ee2xbeX+ttK5CofR4li1ftnI9eTsr64uIRX31Mz9zOX70o85F9dXa1vvedz4efrh70XYjYlEb/+W/vBBf/er2qu1dTRvz10dElX23sH9vvPHG+M//uT0++cnFxzSFQhZf/GLa+NwK1tJ3G9H2anX97d92lh8bGDgbhUIhhod3Vn3v2shaG2U9QdLGn5cL65QSIkVEFNvb449uvTX+UWenC3CzRQmR4NrzSpvTa2lvK/RRIXbunC//eSGUiIrHSgcbhw+fjf/xP3ZEROkb7IXnF3R0lB579auvlF9bzb59l6J0PaH2OHjwbN0KDx48G5/4xJm45ZbKi2FVX+/Bg2fj1ltL2+7srPUd8uLXbtu2fLm9e2tfC6StrXSQ/41vlEKkUlurb2ffvktx8ODZmJ8vxJ/8ya7YuTOLw4fPXm3zQh1nz7bFq189H5/85K6Yny/ErbdeuXpGydzVa1EVroYDi2sv1VkobyuicLX9JVlWOhjMt5nXkeJTn9pVXu/DD78U//2/lwLE0ngp1XHw4Nnydj//+V3x8MMvlf+ehxkRES++2L7oADqidK2xF15Y+Fy7d++V+MhHzpSX++Qnd5XDj4UxUig/9pGPnImPfnShXZ/61OLll7Y17/t8fNx665U4fPhs1bpS+yvfX/n8qLeuLFuofemylevJ69u7d6G+pX11003zy+qrta0XXmhftt2lbXzxxfaa7V1NG/PX5/uuUr7Pdu7MYteuiKGhuWVzP8vSx+dWsJa+26y6Kh/76EdL+6rWe9dG1toKBElsKakhUk6YxFZVurB2KxxMAVvTuk84b7BWq2dl586VLjJdUv39+M47L8cjj3RdvS5LFh//+NSSJbLYtq103Zbu7vn4r//15brb/Gf/7GLs2DEf3/lOV1x//XzdZe+552I8/XRHfPe7XVVDn6V1Pv98R0Rkcflyyr8tWczOFpat98SJWvfpyco/TZubK0RX13x86UsvRa39/mu/dj4OHjxXbuvTT5fW+7M/W3mF9izOnGmL//bftsd3v9sV3d3z8fzzHbFjx3z8yq/Mx9mzpe1VHphv3z4f27fPL6pzcPBs7NhReu111y30ab7danXUUrmvjx6dWvT30ngp1fChD52L4eGpchseeaSr/PdSvdmiGirl+zTvgxMnOsrL5M/t2FHaxsGD5xa16Z57Lpb/fPDguejuXhh7+fLV2vr00x3l8fH88x11+2Gl/lpaYz2/9EsL9VbWvnQ999xzsVxftf7I9/t3vtMVv/RLF6vWV7mtn/3Z2bo1Vrax2vpW08bKdS295k4+Vqq9Zvv2xfM/ZXxuBWvtu2a3vVpdtWqtVtdG1toqWqKVhw4dqvr40NBQRMQ1ddetvRt0q6VW7rO11vbiiy/G/fffnxwi5fIw6feffz6eeeaZuP/+++Mb3/hG3HzzzWuqYy02ar9zLZnb7AIAGia/W9pWc+ONES+9VPv50dHry3++7bYszp+/ftHzXV0RP/dzEd/7XsSb3xzx0kvXL13FIl//+q54//uz+MIXIh5+uP43208/fUP5z69+dRb/9//WDojyOm+7LYuJiZWDpBtvzOKllwqxY0fEbMKvNLq6Ii5diti+PeL8+Yhbbol4+9tviJ6eLCYnl2/vscd2x8GDO8pt/du/3RP/5J/Mx9jYwue6vIaRkd0RUeq/J56IuPfeLL73vfZF283195euK/SFLyw89txzxfJ23vzm0r7I5dtdWkctf/EXpe3edlsWb37znvhP/6n095tuisi/p+zvz+J1r7sxIqLc/r/4i2L8+q/PlcdT3k+VNeS+9KWF7/nz/ZUvkz93770L26hs09NP3xD798+Xa3rTmxbGXr58tbbm6126vWpuuqn6OpbWX1ljLc88s9DWytqXricf67X6o3K/P/PMDVXrq9zW2Fixbo2Vbay2vtW0sXJdS1WOlYiIjtKpi/H6198Y9967/DUrjc+tYK191+y2V6urVq3V6trIWluFM5IAAGiqhO99WlJ3d/3nX3659F9ExM03R5xd8mu0bdsirruu9Ofrrlv+/FLnzkW85jULf67n7NmF9RVWyIbyGl/1qvrL5fJ2zyceC227eiOwq8fB5XpqfWeX15O3NW/HyxUnbOU15P2Q9+NrXhNx5szi7eZe85qFdebOnl14LF9H5XPV6qilcl9X/r1ynFRuv9ZyHRVf5S/dZuXf8/2VP7a03ojFbVq6rsqxt7S+ymXzPy/dXi31+qtajbVUq6HaemrVV7lMZU312hixfPxVU299q2ljveVStl9ppf2yFay175rd9mp11au1Wl0bVWuraIkzkvIzj2q5ln6KtFEX227lPltrbW1tbfGlL32p/NO233/++aSzkpZedPtLX/pStLW1bWgfudg2q+UkNuBaMjfXChfQXr2ZmfmIqP05o7s7P12nO06enI+2tpmIWDjr6NKlLM6duxIR2+LcuSvR1nZh0fPL13clnn32SkRsj+7u0utqKW0rIuL6uHJlPup9P1yqszt++tP6y+XOn89/kla//blLl0r79/Ll0v+vXJmPU6dOxcmTN1fdXnf3bJw6NRXPPluMiO3R1jYTp07NRHf3DRFRSltmZrKry5b64ezZ0v+fffZS/MIvbIuItvJ2c88+e+nqnc4WLlTd1jZz9WLk28v7ovK5U6dmltVRS17fyZOl9uV/rxwnzz57KU6dmo6IKLc/b+/MzC0R0V7up8oaFmraEfkYyfdXvkz+XOU2zp27qdympevKnzt37kr581q1tubrXbq9Wur1V7Uaa6lsa61+ePbZS/HmN1+uWl/lMvl+r9zf1doYsTAf6tVY2cal61tNGyvXtfzxxa+v/Gxd7TUr7ZetYK191+y2V6urXq3V6tqoWhvJxbZ5xbjppptiZGQkbr/99vh/ly/H7z//fEzXOVe+Fe7cBmuzBX8DAlDD3NzWC5EiIqam6n9Ufu97L8S995Z+o/R//k97vOpViy8wPTtbiB/+sPS97VNPdcRrX1v7YtUREe95z4X4y78snT7yr/5V/dtI9/bOxjveUfpd1z/8Q/2w573vvVCuMcXp06V2X7iQdqgwO1u4unzp/6dOtcWPftQeP/lJ9e29+90X4+zZQrmteTve856FNud9f//9pf7Nrzvyta9dF7/wC9mi7eb+1/+6Lr72tcWnHd1xx+Xydp56avF36O94x6WqddRSua9/+tO28t/z/sprOHeuECdPtpXbf++95+PkybZym/J+qrbNyr/n+yt/LP//175W2sbZs4VFbertXfgd4tmzhXKfPfVUR3n5am3N/7x0e9Ws1F9La6znrW9dqLey9qXryZ+r1R+V+/2tb52tWl/ltt7znvN1a6xsY7X1raaNletaKh8r1V6zdBwvbc9Wtda+a3bbq9VVq9ZqdW1kra1CkMSWkxomCZHYyk6c+IfYihenBVpFqwU3rVbPyirvwlXr/fjJJzvjnnsuxa5dpWV/93dvWLJEIWZn22LXrvm4cKEt/sN/qH+NpL/6q+tiZqYt3v72S/Hyy/U/pj/yyHVxxx1X4m1vu7QsUKlW58p3bVtc97Zt2bL11r5rW6F817b29iwuXWqL+++/MWrt9z/7s+3x4IM7y229447Sep96qnPROnfvno9/+2/Px9vedikuXGiLW2+9EjMzbfHww21L7tpWcv58W5w/37aoziNHdsXMTOm1Fy8u9Gm+3Wp11FK5rwcGblj09/wuf+fPt8WnP70zDhy4odyGe+65VP575V3mqm0z36d5H+zde6W8TP7czEzb1VuO71zUpkceWQgfHnxwZ1y4sDD28uWrtfWOO64sumtbvX5Yqb+W1ljP17++UG9l7UvX88gj1y26a9vS/sj3+9vffim+/vXrqtZXua2nntpWt8bKNlZb32raWLmuhf1ako+Vaq85f37x/E8Zn1vBWvuu2W2vVletWqvVtZG1tor2P/iDP/iD9a5kbGwsZmZm4ld/9VcbUNJyZ6+BHxp+4hOfiIiI3/md37kmtpPq5Oc+t+yxW//Nv1n3erdv3x6//Mu/HI8++mg8+w//EN87fz7+yc6dcV1b6U23VUKkVtsfjbR9e+l02/P51SJpuE98onQ76a14AAbUsjV/4rV2a2lvK/RRFrOzbeU/L6+nFF48/nhXzM5GvOlNl2N8fFtcvlz9NW1tWVy5EnHuXHvUuxPcyZOlO1PdeedsfOlL9Q+yHn+8K557rhDPPNMZ09P5mT/V++7xxxfuLla6u1r1Nle+ttpZZKV11Hj11buR7d9/ISYmOq62tfp2Tp7siMcf74q2tiz++I+nY8+e+fjEJ3bFgw/uWlTHTTfNxS//8oW4/fYr8ZWvdMeZM+1RKGTx13/ddjXkypddXHve1oiFPj17dqGeQiGLP/zDl+Ohh7bHgw/uKtfxj//xymcDt7Vl8dhjXXHyZEd861vb4ld+5UL8zd9suzpeSnU8/nhXebsDA2fjyJHdMT7etazOfftm45/+00vRVXEzr7NnC/Gd72yLp5/uLLfl3LlC7Ns3G11dEbfeOhdf/nJ3PP54Vzz++MLd3QqF0n4+d64Q3/rWtvjTPy2163d/92x8+9td5eWXtvXs2UJ84hO74pvf7C730+xsxFvecnlZXfk+Wqm/br11Lr7yle74m7/pWnFdhcJC7UuXrVxPvk8r65udXdxX3d1ZPPJI96L6am1r377ZeOaZjkXbnZ1d3Mbe3tn4whd2Vm3vatqYv/5tb5uNL3+5e9EYyPfZvn2z0d6+Pf7jf2yPT396cahWKKSPz61gLX23EW2vVtfrXnel/Ni5cxHf+tZ15bm19L1rI2ttlF276t/UoZ5ClmXr/sr70KFD8eKLL8bnqoQGjfD88883Zb0bKb920UZdI6lVrskz/s53Lnts32OPNWz9p06dKl8zKb+TW0S0RIgU0Xr7o5FcI2lj7N376hAmAeQaGTKlrKveMpWB0NLlar2uEfU3c93NrKNagJbFjh1ZXLhQuBpwVQZDUf5z6cAsi5/8pGPR6wuF7Oq1cerVsXzf3HXXbDz5ZGfMzLSVD/7uv7/+TwkrffjDxRgZyQOBUhtmZgqxfHu1xkgp0MiyQuzYMR/vec/FuOWWuXjhhfb4y78snQGztG0dHVm84Q2lMx2eeaajIhAstWf37iwefbRr0Tbe/e6LsWdPFg8/3B2XLpUe37ZtPt73vuXba2vLor//Qhw71h3z87XrSu2vL35xewwOXp+0riwr1Fz2q1+9rhzqdnSUAtmIQnR0lPr2ypXl4+Wuu2bjbW+bXXFbXV3Z1bv+LV9f6Yy8+u1dTRvz13/xi9vj937v+qvBa6XqAXOhkMXHP7668bkVrKXvNquul15qWza33vWui3Hjjdmm1toI67lGUkOCpA996ENx7tw5QVIdgqQFjQySIpaHSRHREiFSROvtj0YSJG2cvXtvidIvkYVJAJups7P086WFM482TilYuPb/Hdi9ez4+9KHSrxE+/eldceZM8/r67W+/FP/u352Nd75zduWFl/jMZ3asqb43vnE2PvKR0m3n/uRPdsV3vtO1bJm8roiIP/zD3fHDH1a/6Pr27fPLfgJVy513Xo5CIau6rsp+eOyxbSvWldpfq1lXvWXf+MbZyLJCPPlk57LnKu3ePV91f6xmW/Vet942Vr7mYx+7fsX23Hnn5fjoR19e0/jcCho51jaqrmo2s9b12pQg6atf/Wp8//vfj8nJyZiZKV2VfMeOHXHzzTfHz/3cz8Wv//qvr7mopQRJrbedVBsRJEUsDpMioiVCpIjW2x+NJEjaeHv3vipS7p4DbLz29tKt0pd+qlrPwX/pjIXFf49Yvo1KHR2lWi5fTr91e+r2IyLa2kqPFwqln0jNz5f+3tYWsXNnFh0dWVy8WIjZ2UJcvrz4tV1dWczN5d/4l153881zsXfvXPz4x50xM1NY1odL21woROzalcUtt8zFmTOFePnl9qtnFJRq2LYti46OiIsXF2+/vb30s5f29oi5uYjz5wuRZaX1dXaWAqIrV9oiyyLa2ubjuutKr5+bK8Tu3XNx++1z8Zu/ORP33FPa2COPdMXnP78jTpxoj46OiDe84XL09MxFd3d29do9WXz3u11x5kzhahuyeOqpbTE9XYi2tohicT727ZuNN73pSly4UIiXXmqLH/ygM557rj0uXy61ZceOLF772rm4++7ZeP/7L8Qdd1wpb/e559qv9nPEpUuls3muv34+fvEXL0Vf38U4caIjjh/vjO9/vzNmZiJmZ9uio6PUN52dWbzmNfPR03MlbrxxPrq7S2cETU62x9///bY4d650faQbbpiP9va4emCexe7dWRSL89HZmcVPf9oeXV35ei7H3/3dtnj22Y6r+3A+2traYseOLF7/+iuxf//FiChd6HnXrqx8Idpvf7srjh/vjGee6Siv6957z5f7OPfII13x5S9vjzNnCrF7dxb33ns+ent3x6OPFuIHP7gYL7zQHrfcMhc7dpQGycxMIX78446Ynm6LixcLsWfPfNx992y89a2zceJEx6I6GnEtk6X19fRcjsnJzjh5si1efrnUD6961Xy88Y2Xy/ux0tNPd8S3v91Vt66nn+6Ir3ylO374w1LwULmuaq/P+7faOlO2t5rlUqxmXfWWrXwuv2B5Pufy5da6rVrra0YbK1/zla90xxNPbIuTJ9uivb099u6NeMtbZqqOlWtVI8das+uKqD23tqJNPyOp2QRJrbedVBsVJEUshEkR0RIhUkTr7Y9GEiRtjmt5TLUC45prjTHNtci45lpkXLPR1hMkday8CGwN+d3c8j8DAAAAjSVI4poiQAIAAIDm2fgrBQIAAACwJQmSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgScdmF/BKcenSpYiIOHXq1CZXAmxlJ06c2OwSAACAVzBnJAEAAACQRJAEAAAAQBJBEgAAAABJBEkAAAAAJBEkAQAAAJBEkAQAAABAEkESAAAAAEkESQAAAAAkESQBAAAAkESQBAAAAEASQRIAAAAASQRJAAAAACQRJAEAAACQRJAEAAAAQBJBEgAAAABJBEkAAAAAJBEkAQAAAJBEkAQAAABAEkESAAAAAEkESQAAAAAkESQBAAAAkKRjswugOfbu3bvZJURExMM9Pcsea5XaAAAAgNVxRhI02bve9a7NLgEAAAAawhlJ15gTJ05sdgmLjL/zncsea7UaAQAAgDTOSAIAAAAgiTOSaKp9jz222SUAAAAADeKMJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAABIIkgCAAAAIIkgCQAAAIAkgiQAAAAAkgiSAAAAAEgiSAIAAAAgiSAJAAAAgCSCJAAAAACSCJIAAAAASCJIAgAAACCJIAkAAACAJIIkAAAAAJIIkgAAAAD4/+3dIVRb1x/A8d/O+asGTXSoTnSKbXXZdDATo2YTxYBJxajYDBVTA1FTzMxOdFPbRr/YJrF7tcvD8hc94awHaH9bgfByPh9JIq54PN79ct+9KUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIA/Bhq5wAACkxJREFUAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAAp35ydnZ0texAAAAAA3H1WJAEAAACQIiTdkr29vdjb21v2MODauKZZRa5rVo1rmlXkumYVua6pEyEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAICUb87Ozs6WPQgAAAAA7j4rkgAAAABIEZIAAAAASBGSAAAAAEgRkgAAAABIEZIAAAAASPnfsgew6qbTaQyHw7h3715ERJyenkav14tGo7HkkQFwlaIoYjQaxc7OzrKHAl+lLMsYDAYxn89jbW0t5vN5PHnyxHMItbR4rv6nra2taDabSxoR5FVVFT///HP8+uuvn/2e+SN1ICTdoKIo4vj4OH755ZfzX/yiKGJ/f/+Tn0GdjEajePv2bVRVFfP5PO7fv++PGyvn+Pg4Wq3WsocBX2XxHPL06dPY2NiIiI9h6fDwMPr9/pJHB//OaDSKsiw/CfxlWcbz588/ucbhLhoOh3FycvLF75k/UhdebbtBx8fHFybYnU4n1tfXUzcSuGsGg0GUZRm7u7vR7/fj2bNnMZlM4scff4zpdLrs4cG1WFznUGdXTbAHg0GMx+OoqmqJo4N/7/Xr17G1tfXJz5rNZvzwww/x+++/L2lU8HlHR0dxcHAQVVXF2traF79v/khdCEk3pCiKKMsy2u32hc8ePHhwYVku3HVlWUZZlp88xDUajXj27FlUVRUvXrxY4ujgeghIrIrDw8PodruXrtJoNpv+q02tTKfTK6/ZTqcTs9nslkcEOTs7O9Hv92Nra+v8VbWrmD9SJ0LSDRmNRhERl/7RW19fj4iwgoNaGQwGF/4TGPHxGu92u1GWpWua2rvqOoc6mU6nMZvNYnNz88JnOzs78dtvvy1hVPDfffjw4bMr6YRRVoH5I3UiJN2QyWRy5cZ/i5+Px+PbHBJ8lclkEvv7+5eu2PDHjVUwGo2i2+0uexjw1d6+fRsRYZ8vVkar1Yqqqi59DhkMBvHw4cMljQyuj/kjdSIk3ZAPHz588TteoaBO1tbWoqoq1y0r6/3799HpdJY9DPhqi4lGs9mM4XAYr169ilevXsXR0ZF7OLXUbDbj0aNHUZZl/PTTT+ev+BRFEZPJJLa3t5c8Qvh65o/UiVPbbkhmQ7X5fH5Lo4Gvt7u7G2VZXrrfxmJvgsXKJKibwWAQ33333bKHAddiMRkZjUaxsbERjx49ioiPq0b39/ej3+874YraWZzWNhwO4+joKF6/fh3tdjt2d3eXPDK4HuaP1IkVSTfoqg3VFjcIJ6ZQJ41G49KJR1VVMR6Po9VqWc1BLZVlGY1Gwx4brIzF88V8Pv/kvr2xsRHtdtsJV9RWr9c7f8VnNpvFmzdvoiiKJY8Kro/5I3UhJC3BoiSbtLAKFkeRPnnyZMkjgf9mMBicr9iAVXLZyT+LE65MvqmbxYq6Xq93vgqpqqp4/vz5+SbFsKrMH7lrhKQb0mg04vT09LPf+dLSRbjriqKI4XAYu7u7XpOglmywzSq7bNPWxSvIQhJ1UpZlHBwcxNOnT6Pb7Ua3242XL1+ex9LDw0MrNag980fqREi6IX7JWXVVVcWLFy+i1+uZiFNLVVXZYJuVdNWpP/+U2dQV7oqTk5N4+PDhJ/+0ajQa0e/34/HjxxER5xtwQ12ZP1InNtu+Ievr61cez7jYbd8KDurs8PAwvv3229ja2lr2UOA/mUwmMR6P4+Dg4NLP//lZv9+/zaHBV2m1WlGWZVRVdeVrECYs1Ml4PL7yPry9vR2z2Swmk8ktjwqul/kjdSIk3ZAHDx5ceSNYLFl0I6Cujo6OotPpXIhIn5u0wF3T6XQuXY1UVVV8//33TgOitu7fvx+j0Sjm8/mFe7JnEOrqc88XnU4n/v7771scDVw/80fqxKttN2TxzvZlexAURRHNZtONgFoaDodx7969CxGpLMt49+7dkkYFwMJi8/jZbHbhs/fv30fExwkL1MXGxsal1/NCWZZeU6b2zB+pEyHphjSbzeh2uxfe166qKt69exe9Xm9JI4P/riiK+Ouvv2J7e/vCZ+Px+HwTVwCWp9FoxOPHj89P1VyoqirevHkTvV7P6lFqpdfrxcnJyaUbak+n05jP50ISd96XNtI2f6ROvjk7Oztb9iBW2cHBQbRardje3o6yLK98JQjuurIsY39//8pYNJvN4uXLlyYn1NZ0Oo2Tk5OYTqfnk5VmsxmtVssrbtTS4iSrra2tOD09jT///DM2Nzc9g1BLRVHEyclJbG5uRrvdjvl8HkVRxOnpqTjKnTUYDKIoik+eLRqNRqyvr0e73b70n7Pmj9SBkHQLptNpjMfjaDQa0W63U6epwF2zt7f32WXlERF//PHHLY0GgIzpdBrT6TTW1tai3W6bbFN7RVHEbDY7D/2eq1lF5o/cdUISAAAAACn2SAIAAAAgRUgCAAAAIEVIAgAAACBFSAIAAAAgRUgCAAAAIEVIAgAAACBFSAIAAAAgRUgCAAAAIEVIAgAAACBFSAIAAAAgRUgCAAAAIEVIAgAAACBFSAIAAAAgRUgCAAAAIEVIAgAAACBFSAIAAAAgRUgCAAAAIEVIAgAAACDl//o8oXSXP9bhAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 378,
       "width": 585
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The exponential distribution\n",
    "\n",
    "ax = plt.subplot()\n",
    "\n",
    "ax.boxplot(e, whis=1.5, showmeans=True, vert=False,\n",
    "           meanprops=meanpointprops, flierprops=flierpointprops, medianprops=medianlineprops)\n",
    "\n",
    "plt.title('Box plot of an exponential distribution')\n",
    "plt.savefig('exp-box.png', dpi=200)\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This time the distribution is heavily non-symmetrical and the tail of exceeding values is clear."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABJIAAAL0CAYAAABXkB1iAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAWJQAAFiUBSVIk8AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8li6FKAAAgAElEQVR4nOzdX2xk533Y/R+5K+vvyiNpLSdyA9SzF8ZbNGlBynCSShcvzAWM9m2L1lxZb2AUAQrNAoHV5IrEQkB7FSyGAZoE9s2sUPgiSGOLe+M0NgKQQS9kJAFkMm0ugirwjJK6WEXCamek3ZWif3t6QZ/ZITlD/mY4M/yjzwcgvCYPZ555zjOjPd89c2amKIoiAAAAAGAfs4c9AAAAAACOByEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgJTThz0AAOB46nQ6sb6+Hq1WK+bm5mJhYeGwh0Qfh7GfWq1WdDqdaLVacePGjVhYWIhqtTrx+z0OOp1O3LhxY9scLS0tHfawACDNGUkAR8jMzMzQX4888kicO3cuLl68GJubm4f9EI6lK1euxIULF2J+fj7OnTsXMzMz0el0DntYR9rKykp8/vOf70aCer0e8/Pzhz2soa2vr4/0vNv5dfXq1cN+KH0dxn66cuVKnDt3Lubn5+PChQtx8eLFaLVaE73P4+TLX/5ynDt3Ls6fPx8XLlyI5eXlwx4SAAxFSAI4QtrtdrTb7VhdXe1+r1KpRLPZ7P5s59fGxkZcvHgxXnrppZifn4/z58+LIEN69NFH49FHH+2eHcDelpeXY3l5OTY2NqJWq0WlUon19fXY3NyM9fX1wx7eUHY+V6rVatTr9djY2Ih2ux1FUQz86j3Dpt9ZPisrK/HII48cWig4rP1Uq9WiKIpYW1tLbX/Y8zRu+z2ecm3VarUpj2w6Ttr+BKCPAoAjqVqtFhFRLCwspH9nYWGhiIiiUqkUzWZzgqM7mdrtdhERRUQU7XZ7ave7uro6tfs6qLW1tSIiilqt1v1e77xtbGwc4uiG12g0umNfWlpK/169Xu/+XqPR6LtN+fNpr6eiODr7aW5uroiIYm1tbeA205qnaT3Pso+n2Wx2tzvKhp23w1z3AEyHM5IAjqhKpTL076ytrUWlUolOpxPnz5+fwKhOtlHmfByO07/cNxqNiIi4ePFi93uVSiWKooh2ux1zc3OHNbQDWVpainq9ntq20+l091m1Wh14Zkk5F9Vqdepr66jsp0cffXTfbaY1T9N6nmUfT2ZujoJh5+0w1z0A0yEkAZww5cFwq9WKlZWVQx4NGTdu3DjsIaSV1+Hqd+Hk43jQ2Ol0olKppCNSRMRzzz3X/XPv21B32tjYiLW1tWg2mwca4yiO036a1jxN63l2mPt9Eoadt5P2+AHYTUgCOGGeeeaZ7p+/+93vHuJIyOh0OsfqmlblNaSOWowY1VtvvbXtObOfzc3N7oW1FxcX9z2z57A+ye647adJz9O0n2cn5RMMR523k/L4AehPSAI4YSqVSvfg0ae4HX1Xrlw57CF84g3zKWYXLlzo/vnFF1+cxHCYAM+z0Zg3APoRkgBOoON0hssnXXktGw5Hp9OJJ598MrXtlStXumf61Ov1Y3O2D55nozJvAPQjJAGcML0fX+/tBUfbysrKtv3F9N24caPvdYR26nQ63QtXV6vVWFpamvTQGBPPs9GYNwAGOX3YAwBgvHr/Bbn3bTgcHa1WK+r1ureNHAF7XSy7V+8nV2V/h8PleTYa8wbAfoQkgBOk95PaFhYWBn4sea9OpxNXrlyJtbW17lt1Op1OzM3NxaVLl3a9fWd+fn7gtZfa7fau7VdWVvp+fPQwH7e+08rKSrzyyivRarWi0+nEjRs3ot1uR0TE+vp6NBqN7vc7nU4sLCzE8vJy6syTYQw7dxFbH8fe7wBtZmZm1/cOMkfjGm+r1Ypz587tO95arTa2t8FcvXo11tbWuvcfEXuOcdI2Nze7+yxzge3eNdhqtaLVag18boxrHR/GforYertfGdYqlUo8+uijce7cudQZW9l5Km1ubkaj0dj2806n072/5eXl+NrXvhZzc3MHep7t3C+VSiU2NjYiYmttlh9iUAaX8szPYR/PoDkp5/PGjRvRarXiySef3PP1q3xOl+MddL+bm5tx+fLl7jY3btyIS5cubdtXB5m3UR//KK9Lgx53URTd3798+XJERHcs1Wo1Ll26tO/zF4CEAoAjaW5uroiIYmFhIbV9s9ksqtVq93fa7fa+v7O6ulpUKpWiXq8P/Fmj0dj2/Xa7XWxsbBSNRqOoVCpFRBQRUayurva9j3a73R1XeV/NZjP1mAZpNBpFrVbbdv9FURS1Wq2o1+vbHnu73S4WFxeLiCiWlpb2ve3y9vabv1HmrndM7Xa7aDab2+5v59c4jWO87XZ74HjHpVarFWtra7vuv9yHg9bZJJXPxcy6KIqiWFtbK2q1WnfdD/q9ca/jae6njY2NolqtFgsLC7uez81ms1hcXCyazWaxsLBQRMSufVoU+Xkqiq05qdVqfX+2trbW3Ue99zPq82znfqlWq0VRFEW9Xu8+R9bW1rbts2EfTzm+nfu933Ow0WgUEdH3uVsUW8/fxcXFbeuo3/02m81iaWmpu08G3eao8zbs4y/HPurr0urqat/nz9raWrG4uLjrvvutEQBGIyQBHFHZkNRsNot6vb4t1GSUByd7HZhvbGzseeBa/ny/v5wvLCwUc3NzY48jvQdzi4uLe46hPAgfdDBayhwAjWPuimL3geSkjGu8RZEPbaNYWlraMzIexoFgOXd7HcgPsvNAfJDDWsejKtfKfq9Ni4uL3aiw12Pab54ajUYxNze3532trq4OvJ9Rn2flfqlWq8XGxsa2/d+7LvqFtGFD0n77vXx8ez0/s/dbFHefS3ut6VHnLTuOcb0u9d5fs9kc+NwotyvDIACjE5IAjqjyL/qVSqVYXFzs+zU3N9f919harZY+06f8y/l+B6NFUXQj1aC/7Jc/H/SX82azue9B4Kh6D3T2CyC92+514LLfAdA4524aIWmc4y2KyQaKiCjm5uYGruPysUzrQLDdbu86K2VYwwaFaa3jUfXOyX633XuAv1/822u8c3NzqYhXqVTGGpLK3yvPvNqpXq8P3AfD7vfM4yvPJBrHfi+D5CRCUmYck3pd6ncmUq8ybG5sbOz/IAAYSEgCOKKGfWtb+Vazubm5fd/+U9525i/T5cFEpVIZuE15gLO4uNj3vg76Vrb9xpY9YK7Vavs+lv1ub5xzN42QNO59PalA0Xt2214Ht5MMWTuV6+UgZ0ENGxSmtY5HVd53JgAURZE6I6ko9h5vJrAVRTHwrJ6DhqRhHm9pEvu99wypg9xvURx+SJrU69J++ykT4wDY32wAcCLUarV47bXXotPpxIULFwZ+Ytvm5mZsbm5GpVJJXXS03K68IGo/q6urUalU4urVq3H16tXu9y9evBiXLl0a+0WuB41zP+VFvzudzrZxZk1i7ibpOI23Wq1GtVqNSqXSvXjxoO0iti5EPEk7L7C915jGaRrreFS96yL7iZDjuDh6pVKJlZWVgRf5L33xi1+MRx999MD318+kPwEzM0/lGmy1WlPd7+M2ydel8+fP73tbEXcv4g/AaIQkgBOkUql0P+3q6tWrfQ9+yk8cGibuPPnkkxEx+GPPK5VK92cXLlyIVqsV6+vrEbF1EH5U9D7mcp6GMYm5m6TjNN5KpRLNZjPa7Xbq4LLT6Ux0PM8991z3zy+++OJE72tYB13Hoyqf0xExtbAWEd1Pn5yfn4+LFy8ODEpLS0sT+0SuacTwjHIc09zv4zbJ16Wjsp8ATjohCeCEqVar3QOvq1evbjv4i7h7MDjMv9yX/4q787Z6LSwsdD9G+sKFC7G8vDzWjxkfl/JA40c/+tHQvzupuZuU4zbenTY3N2NlZSUuXrzY/SrPRJrkGUlXrlzpxop6vZ76+PKVlZWJjaefg6zjUb3yyitTu69e9Xq9G66uXLkS8/PzMTMzE+fPn0+dqTQORyVQHMZ+H7dJvi4dlf0EcNIJSQAn0MWLF7t/rtfr235WnskxzFtOHnvssdR29Xo95ubmYnNzc6pnLAyjPNAY5a0Nk5y7SThu443YGvPy8nI88sgj8dxzz0W1Wo16vR6NRiMajcbE3rq08/4jttZKGUf3cuPGjWg2mxMd104HWcejKu9rHG9XG9ba2lo0Go1toWB9fT2Wl5djfn4+zp8/P/Gz1I6Ck/DWrOP4ugTAdkISwAnU+/aOnf+CO+lry5RvQZjWmQKjGiVITHruxu24jXdzczM+//nPx8rKSrz44ouxsbERi4uLUw0Xy8vL3QPd7Bl1rVbrUOJKxGjr+Liq1WrRbDaj2WxGo9GIWq3WDUvr6+sxPz//iYhJEcd7vx+31yUAdhOSAE6oQQe25YHXMAdcb731Vmq79fX1uHHjRvcA/Mtf/vKRO7A7yFkVk5y7fq5cuXKgMw+mPd6DaLVa3RCwtrZ2KNfWGvUC251OZ+pnTBzG2UGjrKdx2BnDy7fvNhqNaDabsba2FtVqNVqt1rZrW2Ud9Hk2TYd5VthOo87bcXpdAqA/IQnghBr0l/TyjKFh/lW4PFjY60K25VuCVldXo1arxeLiYnQ6nZEO7CapfCzlPAxjUnM3yEHfLjXt8R5EeWH4Wq029NsixxUBRr3A9mFcO+gg63hUX/ziF6d2X732+8S0hYWF2NjY6H5y5LCm/bbEgyhf1w+638cRA0edt+P0ugRAf0ISwAnU+5aynQfl5UHZMG87K7f92te+NnCbCxcubPtEnRdffLF7YDftj5IfpPcxj/Jx3pOau0EOerA37fGOqvw48Ijt1/fqp9/BZ6PROPDbKIe9wHav9fX1qZ4hctB1PKre15Jpvm210+nsGwsrlUr3enDDhsWjdtbkIL3zcND9Po74Ouq8HZfXJQAGE5IATqDyYsERuw/MFxYWtl1XZD+9By/lp8HttLKyEhcuXNh2IdxKpRJ/8id/0h3DpN86kjmouXz5ckRsvbVilIuBj3vueuNDv/HfuHHjQNdCmcS+noTetbHfWW+TOOgf5QLbpTKCjeuaNdNYx6OqVCrdtxyWH+G+n3EFp8yZRuVa37kvJv08G4fMfi+fw3vt9/Kx7ne2T+b1eFLzdlxelwAYTEgCOGGuXr3a/cv5wsJC32vNlNcw2vmJbv2UB62NRqPvWRfr6+vxyiuv9P0L/tzcXPegfNJnTrz00kt7/rzVanUPRnvPnBrWOOcuYu9P3+p0Ogc+02Xc4520vQ6oX3rppYGfWnWQ8Y5yge1S+Xa4cc3XtNbxqMp1lDnLcJS3mQ1Srs29tFqtqFarfffFpJ9nB5WZzzJ27rXfM9cfWllZST/eSc3bcXtdAmA7IQngiBrlzIurV692g021Wh14wLGwsBD1ej3W19f3PIBZX1+PlZWVqNVqfUPR+vp6nD9/fs+3I9Xr9ahWq7G5ubnv25YOYnV1dc9/ZS/npdFoHOg6G+Oau1IZ+nb+y3x5UHxQ4x7vJPSeXTFojOVFuC9dutT9/6WDzNWoF9hutVpx/vz57hk34zqjZVrreFTl60qn09nz+dxqteLy5ct7hohhdDqdWFlZ2XOber0+MExM+nl2EEtLS/HKK6/sefbW8vJytFqtffd7uX4HnenT6XTilVdeiWeeeSYi9r+I9aTmbVKvSz4RDmBKCgCOjHa7XbTb7WJ1dbWIiCIiikqlUjSbze7Pdn41m81idXW1WFhY6P7O4uJi6v4ajUYREUWtViva7fa2n9Xr9SIiinq9vuv3NjY2ilqt1r2/ftv0PqZqtdrddmlpqft4Dqrdbndvt91uF4uLi8Xa2tq2bZrNZjE3N1dUKpVidXV1z9vrnfdGo7HntqPOXb/HUK1Wi0qlUmxsbHS/v7i4WDSbzX1/P2sc4+2dn8xjG8bGxkZRqVSKiNi1nzY2NorFxcXumo+Iolqtdtd/rVYb+X7n5ua6j2ltba1oNpt9vzY2Noq1tbWi0Whse66VX737rpRdT5Ncx+PeT6W1tbWiUqn0nftyjtrtdnd+q9Vqsbq6OtI8ld+v1Wp9H0+73S4WFhb2XAejPM/K50zm9WCYx9M7pojo3n+//d5ut4tarZba76Vyneyc62az2d0v5et3pVIpGo1G3/1S3v+w8zbt19Hsem82m93XmHIeABiNkARwhOw8OM1+VSqVolqtdiPNMNrtdlGv14u5ublibm6uWFhYKObm5gbe1qAxDPpLeb+D7vLroKGk9wC81Gg0isXFxWJxcbH7WOr1+p4HDYuLiwPHODc3t+f9DzN3e91OrVYrqtVqMTc3VywuLg48sDuIUce71/wMe5A9zPjK/bjz4HBjY6MbJw8SkXrXz0G/eudvr/kaFEImvY7HuZ96x720tNRdS7VarajVatvupzfU7XyM2XnqDeOrq6vdeen9yjxfss+zfmPu/doZe4Z9PL3jqVar2743yn7vZ+fzaGlpqVhaWur+vPcfAvZ7Pc7O27CPv/f2R3ld2uu/Lb2v272haRL/HQL4JJopiqIIADiGOp1OPPLIIxER4T9nh+MoXF/muJvGOrafxsM8Hk+D9pv9CTAaIQmAY0tI4iSwjgGA48TFtgEAAABIEZIAAAAASBGSAAAAAEgRkgAAAABIEZIAOLZeeuml7p+vXLlyiCOB0VnHAMBx4lPbADh25ufnY3Nzs+/PFhYWYm1tbcojguFZxwDAcSQkAQAAAJDirW0AAAAApAhJAAAAAKQISQAAAACkCEkAAAAApAhJAAAAAKScPuwBZFy7du2wh3BgZ8+ejYiI69evH/JI+CSw3pgm641ps+aYJuuNabLemDZr7pPriSeeGPl3nZEEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAipAEAAAAQIqQBAAAAECKkAQAAABAyunDHsAnwcbTT+/63vzLLx/CSAAAAABG54wkAAAAAFKEJAAAAABShCQAAAAAUoQkAAAAAFKEJAAAAABShCQAAAAAUoQkAAAAAFKEJAAAAABShCQAAAAAUoQkAAAAAFKEJAAAAABShCQAAAAAUoQkAAAAAFKEJAAAAABShCQAAAAAUoQkAAAAAFKEJAAAAABShCQAAAAAUoQkAAAAAFKEJAAAAABShCQAAAAAUoQkAAAAAFKEJAAAAABShCQAAAAAUoQkAAAAAFKEJAAAAABShCQAAAAAUoQkAAAAAFKEJAAAAABShCQAAAAAUoQkAAAAAFKEJAAAAABShCQAAAAAUoQkAAAAAFKEJAAAAABShCQAAAAAUoQkAAAAAFKEJAAAAABShCQAAAAAUoQkAAAAAFKEpCnpfPxxdD7++LCHAQAAADCysYSk27dvx/Ly8jhu6kTqfPxxvHDtWrxw7ZqYBAAAABxbpw96A+vr6/H7v//74xjLiXT9+vV44dq1+MmHH0ZExAvXrsVvPvHEIY8KAAAAYHgjh6QrV67EG2+8Eb/wC78QDz30UNy6dWuc4zoRrl+/HhcuXIiffPhh/Nw990RExE8+/DBeuHYt/t3nZiPi8aFvc2Ym4p57irj33q0/f/jhTNxzTxFnz96JX/3V2/HUUx/ED394b9y8ORNnzhTx1FPvxxe+8NGu23n11dPxwx/eG6+9dip+/OPT0enMxuuvz8Tt26fi9OkiPvOZO/GlL70fb799Kt55ZyYefriIr3713fjKV94farzl/ew1nnFtM8x2DGfc82o/AQAAx4ljmLtGDkm1Wq375z/90z8Vkna4fv16/JN/8v9HxF/Hz91zT/cspLtnJ305Iv57DBuTiiLigw+2vkrvvRfxzjun4j/+x0rf3/nFX3w/fuM3bsbTT38QL7/8qfid3zkTf/7n9+55PzdvnopW655t3/vBD+6PM2fuxH/4Dzfj137t9p6/v9f9lOOJiLFss9/j6t2O4Yx7Xu0nAADgOHEMs9tMURTFQW9keXk53nzzzfj2t789jjHtcu3atYnc7qTcjUh/1Y1IlVOnIuLu9ZK2YtI/ilFi0v6K+Nmf/TiefvqD+P7374vbt2djdraIxcV34+rVB+LOnZmIKCJipu/v7v5+EffeW8T778/89GdFPPPMu/Hbv/1233v/gz94IJaWPh137szEgw/eiX/xL/4+PvvZj+ONN051xzMzs7XsiuJg22w9rvfi6tX797y/2dkifuu3OvHss++NZ4qPuLNnz0bE1locVWY/DjOv4749jo5xrDcYhjXHNFlvTJP1xrRZc3s7yccwTxzgkjtC0pjtFZFK04pJv/Irt+M//aeb8c1vPhTf+taZuBuJdseiz3zm4/gH/+Cj+Iu/GHSmUhH/5t/cjv/9v++JjY17I6KIF154Z9eZSS+//Kn4lV95LO7cmYlvfONmPP/8rXjoobtL7NatmVha+nR873sPRETEv/7X78bKytsjbbPzcQ26v3K72dki/ut/fesTUYsP+h+EzH4cZl7HfXscLf4CwrRZc0yT9cY0WW9MmzU32Ek/hjlISBrLp7axpbwm0l4RKSKicupU/OYTT/z0ukl/FRH/b8HnmpgAABrkSURBVES8OebRzMR3v/tgPPRQEZcu3YwnnvgoImbiU5/aHZF+5mc+iv/xP96IH//47lvZtrbffnt/+IcPxh/+4VsxP/9+RMzEN795Zte9/s7vnOk+0S5durntiRYR8dBDRbzxxt05efPNUyNv0/u4nnjio4H3d+nSzfjGN27GnTsz8bu/u3vM7JbZj8PM67hvDwAAYJIcwwwmJI1JGZH++q//es+IVJpGTPr445n4L//lgXj11dNx7drpiCjigw92v23tpZfeij/+43vj5s3ZiCji/vvvxLVrp+O+++70vb1Gox0RRbzzzmz88R/fPYPp1VdPx5//+b3x4IN34vnn+18zq9zmgQfuxAMP3Ik/+7N749VXTw+9Tbld+biuXTvdd5vSN75xKx58cPBtcVdmP5Yy8zru2wMAAJgkxzB7OxKPcnl5ue/36/V6RNw93e6oevPNN+PZZ59NR6RSGZO23uZWxqTxvs1tdfXhePDBrSD02GMRb721/ednzkR86UuPxH/+z1vjPXeuiF/+5SJ+7/ci/vE/jvjRj3bf3vLyA1GtFtFqzcR/+2+V+PrXP46IiO98Z6tLfvWrRfzDf/hY3/GU2ywuFlEUEb/3exF/8RePxj/7Z3eG2qZ3u3Pnimg2Z/puUzp7NuLf/tti4G2dNKdPbz21R3nuZPZjKTOv4749jp6DrDcYhTXHNFlvTJP1xrRZc/05htmbM5JOuFu3Im5uffhZ3H//7p8//PDW/7790+tmP/54xM/+7Naf77uv/+2V2/X+XsTd+yl/v5/ebcrtyu8Ns03v9z7zmcHb9Nrrtrgrsx977Tev4749AACASXIMs7cjcUZSeebRIEf9wl+zs7Pxne98p/vWtheuXUudlTSNi27ff/9HMTv7XkR8Ot59905EbB/T228Xcf369bj//kci4v54/fU78dprH0TEA3Hr1kcR8aldt3f9+vV4/fXHI2I27r//g7h+vR0REbOzD0bEp+O1196P69c7fcfTu83WZd4fiNnZ23H9+u2htund7u/+7k5EzPbdptdrr1UG3tZJc5CL5mX2Y6/95nXct8fR4yKNTJs1xzRZb0yT9ca0WXP9fRKOYVxs+wg4e/ZsrK6uRsT/Ez/58MN44dq16Hz88cDtp/PJbRHPPvtuPPXU+xERcePG7t1969ZMNJun4qtffTciIv7mb07FH/3R1qlI/+t/7e6Mzz77brz++mz87d9uBany9yKiez/f//59cevWzmsxbd/mj/7ovvj+9+/b9r1htun93t/8zamB25Ru3pyJH/xg8G1xV2Y/ljLzOu7bAwAAmCTHMHsTksbo7Nmz8T//53ci4h/tGZOmFZFOnSri3//7d+MLX/hox6e29ZqJZ555LL7ylffjzJk7ETET7703G0888VH8/d/P9r29ixcfiYiZePjhO/GVr9x9onzhCx/FL/7i+3H79mx885sP9R1Tuc27787Gu+/Oxi/90vvxhS98NPQ25Xa9n9rWb5vSt771UNy+Pfi2uCuzH0uZeR337QEAAEySY5i9CUljtnVq4HoMiknTikgRRXzta7fj5s2ZuHz5zI5Pbdsek/7u707HP/2nn41z5z7sfm9r++239y//5e34V//qsdjYuDciinj++d1vAP2N37gZs7NFfOtbZ+Ly5TNx8+b2envz5kx89rN35+Pxxz8eeZvex3Xt2umB93f58pn41rfOxOxsEb/+65+QN60eUGY/DjOv4749AACASXIMM9hMURQ7T1EZ2vLycrz55pvx7W9/exxj2uXatWsTud1J+tznZiPiyxHxV91PcouIqUWkn/mZj+Pppz+IH/zgvrh9ezZmZ4tYXHw3rl59IO7cKWNSv1P0+n2/iE99qoxQW7/7zDPvxm//9tu7fz0i/uAPHoilpU/HnTsz8eCDd+Kf//O/j89+9uN4441T3fHMzGwtu6I42DZbj+u9uHr1/j3vb3a2iN/6rU48++x745niI24c73XO7Mdh5nXct8fR4b31TJs1xzRZb0yT9ca0WXN7O8nHMAe5RtJYQtLzzz8ft27dEpJ2+NznZiJiIcqYFBHxkw8/jJ+75574yYf/JyYTkXb7pV96P37912/G009/EC+//Kn43d89E3/2Z/eOdFsPP3wnnn/+Zvzar+19AbG97qccT0SMZZv9Hlfvdp8U4/oPwrjn1X46mfwFhGmz5pgm641pst6YNmtufyf1GOZQQtL3vve9+Mu//MtotVpx+/ZWVHjwwQfj8ccfj5//+Z+Pr3/96yMPaqfjGpIitp6Q/9+TT/70LKTonp307/62NdLtzcxE3HNPEffeu/XnDz+ciXvuKeLs2Tvxq796O5566oP44Q/vjZs3Z+LMmSKeeqr/+zRfffV0/PCH98Zrr52KH//4dHQ6s/H66zNx+/apOH26iM985k586Uvvx9tvn4p33pmJhx8u4qtffXfbNZEyyvvZazzj2maY7U66cf8HYdzzaj+dLP4CwrRZc0yT9cY0WW9MmzWXd9KOYQ79jKRJO84hKSLiT375l+OFnz6G33ziiaicOhXzL798yKPiJPMfBKbJemParDmmyXpjmqw3ps2a++Q6SEja/fnujF3l1KnuNZIqp04d8mgAAAAARiMkTYmABAAAABx3s4c9AAAAAACOByEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgBQhCQAAAIAUIQkAAACAFCEJAAAAgJTThz2AT4L5l1+Os2fPRkTE9evXD3k0AAAAAKNxRhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISAAAAAClCEgAAAAApQhIAAAAAKUISwP9t7w6Bozj/PoD/Ou87CC4GkzM1CTqnA6YCaqHVF0FFg6ECRIOh0yGIIkpEMaSiFUTVcKaGYCpIbO8MnSEXQQWLacUdBnGv6Fwm17uEZ///N7lnj89nJoLdHzM7c99Ldr+39ywAAABJFEkAAAAAJFEkAQAAAJBEkQQAAABAEkUSAAAAAEkUSQAAAAAkUSQBAAAAkESRBAAAAEASRRIAAAAASRRJAAAAACRRJAEAAACQRJEEAAAAQBJFEgAAAABJFEkAAAAAJFEkAQAAAJBEkQQAAABAEkUSAAAAAEkUSQAAAAAkUSQBAAAAkESRBAAAAEASRRIAAAAASRRJAAAAACRRJAEAAACQRJEEAAAAQBJFEgAAAABJFEkAAAAAJFEkAQAAAJBEkQQAAABAEkUSAAAAAEkUSQAAAAAkUSQBAAAAkESRBAAAAEASRRIAAAAASRRJAAAAACRRJAEAAACQRJEEAAAAQBJFEgAAAABJFEkAAAAAJFEkAQAAAJBEkQQAAABAEkUSAAAAAEkUSQAAAAAkUSQBAAAAkESRBAAAAEASRRIAAAAASRRJAAAAACRRJAEAAACQRJEEAAAAQBJFEgAAAABJFEkAAAAAJFEkAQAAAJBEkQQAAABAEkUSAAAAAEkUSQAAAAAkUSQBAAAAkESRBAAAAEASRRIAAAAASRRJAAAAACRRJAEAAACQRJEEAAAAQBJFEgAAAABJFEkAAAAAJFEkAQAAAJBEkQQAAABAEkUSAAAAAEkUSQAAAAAkUSQBAAAAkESRBAAAAEASRRIAAAAASRRJAAAAACRRJAEAAACQRJEEAAAAQBJFEgAAAABJFEkAAAAAJFEkAQAAAJBEkQQAAABAEkUSAAAAAEkUSQAAAAAkUSQBAAAAkESRBAAAAEASRRIAAAAASRRJAAAAACRRJAEAAACQRJEEAAAAQBJFEgAAAABJFEkAAAAAJFEkAQAAAJBEkQQAAABAEkUSAAAAAEkUSQAAAAAkUSQBAAAAkESRBAAAAEASRRIAAAAASRRJAAAAACRRJAEAAACQRJEEAAAAQBJFEgAAAABJFEkAAAAAJFEkAQAAAJBEkQQAAABAko8Gg8Fg2gcBAAAAQP7ckQQAAABAEkXSKVlbW4u1tbVpHwYfCHnjNMkbp03mOE3yxmmSN06bzPGfUCQBAAAAkESRBAAAAEASRRIAAAAASRRJAAAAACRRJAEAAACQ5KPBYDCY9kEAAAAAkD93JAEAAACQRJEEAAAAQBJFEgAAAABJFEkAAAAAJFEkAQAAAJDkf6d9ALOu2+3G9vZ2nD17NiIi3r59G81mM2q12pSPjGnY3d2N58+fR7/fj16vF+fPnz82D2Xzk9s8+Wm327G7uxurq6sT9+eWIZmrpqIootVqRa/Xi7m5uej1enH9+vWJr1tuGZK5ahm+XoddvXo16vX6sfO55Efe8tTv9+Pu3btx//79Y+dyy0eZednLS2rmqnwtIXMzZsCJ+f333wc3btwY9Hq9Y7fxYXjy5MngyZMnB//u9XqDr7/+enDt2rXB3t7e2HzZ/OQ2T55u3Lgx+P777yfuyy1DMldNw9fo8O+1169fD+7evXvkbC4Zkrlq2dnZGfm7Ohj8k7V/528ot/zIW56ePn06uHbt2uDatWvHzuWWjzLzspeX1MxV+VpC5maPr7adoB9//HGsZW00GjE/Px9bW1tTPDJOW1EUURRFXL169WBbrVaLb775Jvr9fmxsbIz9n7L5yW2e/LRarSiK4sj9uWVI5qqnKIq4d+9e3Lx5MxYXFw+2t1qt6HQ60e/3R+Zzy5DMVcvTp09H/q5GRNTr9fjyyy/j0aNHY/O55Ufe8rK5uRnr6+vR7/djbm7uvfO55aPMvOzloUzmqn4tIXOzR5F0QtrtdhRFEUtLS2P7Lly4MHYbNrOt1WqNnexG/PMHYHl5OYqiiG63e7C9bH5ymyc/xxVIEfllSOaq6cGDB7G8vDxSIg3V6/WRE8jcMiRz1dLtdo/8OkSj0Yj9/f2RbbnlR97ys7q6Gnfu3ImrV68efPXmKLnlo8y87OWjTOaqfC0hc7NJkXRCdnd3IyImnuTMz89HRIy82Zlte3t7cfv27YkX85PyUDY/uc2Tn6NOQIZyy5DMVU+32439/f24ePHi2L7V1dX44YcfRrblliGZq5Y3b95MvMtt6N+vY275kbdqyy0fZeZlr5qqfC0hc7NJkXRC9vb2jlzocbi90+mc5iExRXNzc9Hv9997V8hQ2fzkNk9ednd3Y3l5+diZ3DIkc9Xz/PnziIhYWFhIms8tQzJXLQsLC9Hv9ydeWLVarbh06dLIttzyI2/Vlls+yszLXjVV+VpC5maTIumEvHnz5r0zqb8IqL5bt27Fd999F41GY2zf8Pb7YSMfUT4/uc2Tl5cvX07M3mG5ZUjmqmd4Eliv12N7ezseP34cjx8/js3NzYmvVW4Zkrlqqdfrcfny5SiKIr766quDr0a02+3Y29uLlZWVkfnc8iNv1ZZbPsrMy141VflaQuZmkyLphBx1q/VhvV7vFI6EHNRqtYlrhvT7/eh0OrGwsDDyh6FsfnKbJx+tVis+//zz987lliGZq57hieLu7m4sLi7GyspKrKysxOXLl+P27dtjt63nliGZq57V1dW4fPlyRPyzaO3a2lq02+24devW2Gxu+ZG3asstH2XmZa+aqnwtIXOzSZF0go5aNG24Kn/Km4rZNnxKwfXr18f2lc1PbvNMX1EUUavVjlyQ9t9yy5DMVcvw9ej1eiMnu4uLi7G0tDTxKVq5ZUjmqqfZbB58NWJ/fz+ePXsW7XZ74mxu+ZG3asstH2XmZW92VOVaQuZmjyJpCoaNa+rFHbOp3W7H9vZ23Lp1a+InDEcpm5/c5jk9rVbr4NP6/0ZuGZK5vE16KsvwKVpHXeD/W24Zkrk8dbvduH37djSbzYO7kPr9fty7d+9gcdcUueVH3qott3yUmZe9apmFawmZqy5F0gmp1Wrx9u3bY2eGDSwfnn6/HxsbG9FsNicuglw2P7nNM30pC2wflluGZK66Ji2oOVy34XCRlFuGZK5aiqKI9fX1uHnzZiwvL8fy8nL89NNPB0XmgwcPRj7hzi0/8lZtueWjzLzszYYqXUvI3GxSJJ0QbwaO8+DBg/jss8+OfBx72fzkNs909fv9pAW2D8stQzJXPUc9keWwwwtu5pYhmauWra2tuHTp0sin8LVaLe7cuRNXrlyJiDhYgDsiv/zIW7Xllo8y87I3G6p0LSFzs0mRdELm5+ePXH1+uL3MLYjMjs3NzWg0GmO/+A9/clo2P7nNM117e3vR6XRifX197CciRvYN5ZYhmauehYWFiDh+nYPDJ5O5ZUjmqqXT6cTFixcn7ltZWYmlpaXY29s72JZbfuSt2nLLR5l52au+ql1LyNxsUiSdkAsXLhy5b3hrnzfMh2d7ezvOnj079ou/KIrY2dk5+HfZ/OQ2z3Q1Go24f/9+3LlzZ+RnuIbI0tLSwbah3DIkc9Vz/vz5iJj85JUqZEjmque4NTUajcbIo7Bzy4+8VVtu+SgzL3vVVsVrCZmbTYqkEzL8jv6khUXb7XbU63VvmA9Mu92O169fx8rKyti+TqczcsJbNj+5zVM9uWVI5qpnuLD7/v7+2L6XL19GxOjJZG4ZkrlqWVxcnJi1oaIoRr7em1t+5K3acstHmXnZq66qXkvI3GxSJJ2Qer0ey8vLI9/Pj/jnlsOdnZ1oNptTOjKmoSiK2NjYiE6nE2tra2M/m5ubB5/mR5TPT27zVE9uGZK56qnVanHlypWDRxEP9fv9ePbsWTSbzZE7SHLLkMxVS7PZjK2trYlfpex2u9Hr9UaKpNzyI295e9/CwLnlo8y87OXpfZmr8rWEzM2m//n222+/nfZBzKoLFy7E9vZ2vHr1KhqNRhRFEQ8fPoxPPvnk/+WR3FTH+vp6vHnzJv7++++JPxEx9ku0bH5ymycf3W43Hj58GFtbW/Hu3bv4888/47fffosXL16M3CGSW4ZkrnoajUa8ePEitre349y5c7G/vx+PHj2KTz/9dOKCoLllSOaq49y5c/Hxxx/Hw4cP4+3bt3HmzJl49epVPH36NP7444/44osv4syZMyP/J7f8yFteWq1W/PLLL/Hzzz/HX3/9Fe/evYtff/01dnZ2xu5wi8gvH2XmZS8PZTJX9WsJmZs9Hw0Gg8G0D2LWdbvd6HQ6UavVYmlpKenJNjBUNj+5zVM9uWVI5qqn2+1Gt9uNubm5WFpaOnYtm+F8ThmSuWppt9uxv78f9Xo9FhYWpp4Hefuw5JaPMvOy92GQOU6CIgkAAACAJNZIAgAAACCJIgkAAACAJIokAAAAAJIokgAAAABIokgCAAAAIIkiCQAAAIAkiiQAAAAAkiiSAAAAAEiiSAIAAAAgiSIJAAAAgCSKJAAAAACSKJIAAAAASKJIAgAAACCJIgkAAACAJIokAAAAAJIokgAAAABIokgCAAAAIIkiCQAAAIAk/wfPZ8P/Qnq3XwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 378,
       "width": 585
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# The Zipf distribution\n",
    "\n",
    "ax = plt.subplot()\n",
    "\n",
    "ax.boxplot(z, whis=1.5, showmeans=True, vert=False,\n",
    "           meanprops=meanpointprops, flierprops=flierpointprops, medianprops=medianlineprops)\n",
    "\n",
    "plt.title('Box plot of a Zipf distribution')\n",
    "plt.savefig('zipf-box.png', dpi=200)\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's a heavy-tail distribution, the quartiles are very close with respect to the full span of points."
   ]
  }
 ],
 "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}