{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Trabajando de forma conjunta con Python y con R."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hoy vamos a ver como podemos juntar lo bueno de [R](http://cran.r-project.org/), algunas de sus librerías, con Python usando **rpy2**. \n",
    "\n",
    "Pero, lo primero de todo, ¿[qué es rpy2](http://rpy.sourceforge.net/)? rpy2 es una interfaz que permite que podamos comunicar información entre R y Python y que podamos acceder a funcionalidad de R desde Python. Por tanto, podemos estar usando Python para todo nuestro análisis y en el caso de que necesitemos alguna librería estadística especializada de R podremos acceder a la misma usando rpy2."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Para poder usar rpy2 necesitarás tener [instalado tanto Python (CPython versión >= 2.7.x) como R (versión >=3)](http://rpy.sourceforge.net/rpy2/doc-2.5/html/overview.html#requirements), además de las librerías R a las que quieras acceder. [Conda permite realizar todo el proceso de instalación de los intérpretes de Python y R, además de librerías](http://continuum.io/conda-for-R), pero no he trabajado con Conda y R por lo que no puedo aportar mucho más en este aspecto. Supongo que será parecido a lo que hacemos con Conda y Python."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Para este microtutorial voy a hacer uso de la librería **[extRemes](http://cran.r-project.org/web/packages/extRemes/index.html)** de R que permite hacer análisis de valores extremos usando varias de las metodologías más comúnmente aceptadas."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Como siempre, primero de todo, importaremos la funcionalidad que necesitamos para la ocasión."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Importamos pandas y numpy para manejar los datos que pasaremos a R\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "# Usamos rpy2 para interactuar con R\n",
    "import rpy2.robjects as ro\n",
    "\n",
    "# Activamos la conversión automática de tipos de rpy2\n",
    "import rpy2.robjects.numpy2ri\n",
    "rpy2.robjects.numpy2ri.activate()\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "En el anterior código podemos ver una serie de cosas nuevas que voy a explicar brevemente:\n",
    "\n",
    "* `import rpy2.robjects as ro`, esto lo explicaremos un poquito más abajo.\n",
    "* `import rpy2.robjects.numpy2ri`, importamos el módulo numpy2ri. Este módulo permite que hagamos conversión automática de objetos numpy a objetos rpy2.\n",
    "* `rpy2.robjects.numpy2ri.activate()`, hacemos uso de la función `activate` que activa la conversión automática de objetos que hemos comentado en la línea anterior."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Brevísima introducción a algunas de las cosas más importantes de rpy2."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Para evaluar directamente código R podemos hacerlo usando `rpy2.robjects.r` con el código R expresado como una cadena (`rpy2.robjects` lo he importado como `ro` en este caso, como podéis ver más arriba):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<SignatureTranslatedFunction - Python:0x03096490 / R:0x03723E98>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "codigo_r = \"\"\"\n",
    "saluda <- function(cadena) {\n",
    "  return(paste(\"Hola, \", cadena))\n",
    "}\n",
    "\"\"\"\n",
    "ro.r(codigo_r)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "En la anterior celda hemos creado una función R llamada `saluda` y que ahora está disponible en el espacio de nombres global de R. Podemos acceder a la misma desde Python de la siguiente forma:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "saluda_py = ro.globalenv['saluda']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Y podemos usarla de la siguiente forma:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hola,  pepe\n"
     ]
    }
   ],
   "source": [
    "res = saluda_py('pepe')\n",
    "print(res[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "En la anterior celda véis que para acceder al resultado he tenido que usar `res[0]`. En realidad, lo que nos devuleve rpy2 es:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'numpy.ndarray'>\n",
      "(1,)\n"
     ]
    }
   ],
   "source": [
    "print(type(res))\n",
    "print(res.shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "En este caso un numpy array con diversa información del objeto rpy2. Como el objeto solo devuelve un string pues el numpy array solo tiene un elemento."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Podemos acceder al código R de la función de la siguiente forma:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "function (cadena) \n",
      "{\n",
      "    return(paste(\"Hola, \", cadena))\n",
      "}\n"
     ]
    }
   ],
   "source": [
    "print(saluda_py.r_repr())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hemos visto como acceder desde Python a nombres disponibles en el entorno global de R. ¿Cómo podemos hacer para que algo que creemos en Python este accesible en R?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "variable_r_creada_desde_python = ro.FloatVector(np.arange(1,5,0.1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Veamos como es esta `variable_r_creada_desde_python` dentro de Python"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<FloatVector - Python:0x09D5A7B0 / R:0x07FE8900>\n",
       "[1.000000, 1.100000, 1.200000, ..., 4.700000, 4.800000, 4.900000]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "variable_r_creada_desde_python"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "¿Y lo que se tendría que ver en R?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "c(1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2, 2.1, 2.2, \n",
      "2.3, 2.4, 2.5, 2.6, 2.7, 2.8, 2.9, 3, 3.1, 3.2, 3.3, 3.4, 3.5, \n",
      "3.6, 3.7, 3.8, 3.9, 4, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8, \n",
      "4.9)\n"
     ]
    }
   ],
   "source": [
    "print(variable_r_creada_desde_python.r_repr())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Pero ahora mismo esa variable no está disponible desde R y no la podríamos usar dentro de código R que permanece en el espacio R (vaya lío, ¿no?)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "RRuntimeError",
     "evalue": "Error in eval(expr, envir, enclos) : \n  object 'variable_r_creada_desde_python' not found\n",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mRRuntimeError\u001b[0m                             Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-10-524753a78365>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mro\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mr\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'variable_r_creada_desde_python'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;32md:\\users\\X003621\\AppData\\Local\\Continuum\\Miniconda3\\lib\\site-packages\\rpy2\\robjects\\__init__.py\u001b[0m in \u001b[0;36m__call__\u001b[1;34m(self, string)\u001b[0m\n\u001b[0;32m    251\u001b[0m     \u001b[1;32mdef\u001b[0m \u001b[0m__call__\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mself\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mstring\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    252\u001b[0m         \u001b[0mp\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mrinterface\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mparse\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mstring\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 253\u001b[1;33m         \u001b[0mres\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0meval\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mp\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    254\u001b[0m         \u001b[1;32mreturn\u001b[0m \u001b[0mres\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    255\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32md:\\users\\X003621\\AppData\\Local\\Continuum\\Miniconda3\\lib\\site-packages\\rpy2\\robjects\\functions.py\u001b[0m in \u001b[0;36m__call__\u001b[1;34m(self, *args, **kwargs)\u001b[0m\n\u001b[0;32m    168\u001b[0m                 \u001b[0mv\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mkwargs\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpop\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mk\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    169\u001b[0m                 \u001b[0mkwargs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mr_k\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mv\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 170\u001b[1;33m         \u001b[1;32mreturn\u001b[0m \u001b[0msuper\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mSignatureTranslatedFunction\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m__call__\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0margs\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    171\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    172\u001b[0m \u001b[0mpattern_link\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mre\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcompile\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34mr'\\\\link\\{(.+?)\\}'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;32md:\\users\\X003621\\AppData\\Local\\Continuum\\Miniconda3\\lib\\site-packages\\rpy2\\robjects\\functions.py\u001b[0m in \u001b[0;36m__call__\u001b[1;34m(self, *args, **kwargs)\u001b[0m\n\u001b[0;32m     98\u001b[0m         \u001b[1;32mfor\u001b[0m \u001b[0mk\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mv\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mkwargs\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mitems\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     99\u001b[0m             \u001b[0mnew_kwargs\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mk\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mconversion\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mpy2ri\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mv\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m--> 100\u001b[1;33m         \u001b[0mres\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0msuper\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mFunction\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mself\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0m__call__\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0mnew_args\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;33m**\u001b[0m\u001b[0mnew_kwargs\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m    101\u001b[0m         \u001b[0mres\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mconversion\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mri2ro\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mres\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m    102\u001b[0m         \u001b[1;32mreturn\u001b[0m \u001b[0mres\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mRRuntimeError\u001b[0m: Error in eval(expr, envir, enclos) : \n  object 'variable_r_creada_desde_python' not found\n"
     ]
    }
   ],
   "source": [
    "ro.r('variable_r_creada_desde_python')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vale, tendremos que hacer que sea accesible desde R de la siguiente forma:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 1.   1.1  1.2  1.3  1.4  1.5  1.6  1.7  1.8  1.9  2.   2.1  2.2  2.3  2.4\n",
      "  2.5  2.6  2.7  2.8  2.9  3.   3.1  3.2  3.3  3.4  3.5  3.6  3.7  3.8  3.9\n",
      "  4.   4.1  4.2  4.3  4.4  4.5  4.6  4.7  4.8  4.9]\n"
     ]
    }
   ],
   "source": [
    "ro.globalenv[\"variable_ahora_en_r\"] = variable_r_creada_desde_python\n",
    "print(ro.r(\"variable_ahora_en_r\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ahora que ya la tenemos accesible la podemos usar desde R. Por ejemplo, vamos a usar la función `sum` en R que suma los elementos pero directamente desde R:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 118.]\n",
      "118.0\n"
     ]
    }
   ],
   "source": [
    "print(ro.r('sum(variable_ahora_en_r)'))\n",
    "print(np.sum(variable_r_creada_desde_python))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Perfecto, ya sabemos, de forma muy sencilla y básica, como podemos usar R desde Python, como podemos pasar información desde R hacia Python y desde Python hacia R. ¡¡¡Esto es muy poderoso!!!, estamos juntando lo mejor de dos mundos, la solidez de las herramientas científicas de Python con la funcionalidad especializada que nos pueden aportar algunas librerías de R no disponibles en otros ámbitos."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Trabajando de forma híbrida entre Python y R"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos a empezar importando la librería *extRemes* de R:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Importamos la librería extRemes de R\n",
    "from rpy2.robjects.packages import importr\n",
    "extremes = importr('extRemes')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "En la anterior celda hemos hecho lo siguiente:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* `from rpy2.robjects.packages import importr`, La función `importr` nos servirá para importar las librerías R\n",
    "* `extremes = importr('extRemes')`, de esta forma importamos la librería `extRemes` de R, sería equivalente a hacer en R `library(extRemes)`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Leemos datos con pandas. En el mismo repo donde está este notebook está también un fichero de texto con datos que creé a priori. Supuestamente son datos horarios de velocidad del viento por lo que vamos a hacer análisis de valores extremos de velocidad del viento horaria."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "data = pd.read_csv('datasets/Synthetic_data.txt',\n",
    "                   sep = '\\s*', skiprows = 1, parse_dates = [[0, 1]],\n",
    "                   names = ['date','time','wspd'], index_col = 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>wspd</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>date_time</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1983-01-01 00:00:00</th>\n",
       "      <td> 7.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1983-01-01 01:00:00</th>\n",
       "      <td> 8.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1983-01-01 02:00:00</th>\n",
       "      <td> 8.5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     wspd\n",
       "date_time                \n",
       "1983-01-01 00:00:00   7.9\n",
       "1983-01-01 01:00:00   8.2\n",
       "1983-01-01 02:00:00   8.5"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Extraemos los máximos anuales los cuales usaremos posteriormente dentro de R para hacer cálculo de valores extremos usando la [distribución generalizada de valores extremos (GEV)](https://en.wikipedia.org/wiki/Generalized_extreme_value_distribution):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "max_y = data.wspd.groupby(pd.TimeGrouper(freq = 'A')).max()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Dibujamos los valores máximos anuales usando Pandas:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10a923d0>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAArsAAAFvCAYAAABKJAMmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3X20ZFdd5vHn6XQQTAJtJ5AEEugg746YEIyMyOIGJCtr\n",
       "VILOTIAliBrHF2ZgYJQXdZT4MhJxqcgoo8wQAyrBKGMmWQ6EyOpCECWA3Ukg6cSMeSNCUNItCYgG\n",
       "8ps/zqnu6uq6b+fsOnfvfb6ftWr1rao+37ur7jmnd9fdt64jQgAAAECNtm31AAAAAIBlYbILAACA\n",
       "ajHZBQAAQLWY7AIAAKBaTHYBAABQLSa7AAAAqNaak13bD7b9Udt7bd9g+43t7TttX237Ztvvt71j\n",
       "mOECAAAAG+f13mfX9tdGxJdsb5f0YUk/Ien5kv4hIt5k+3WSvi4iXr/84QIAAAAbt+4yhoj4Uvvh\n",
       "gyQdJWm/msnuO9rb3yHpBUsZHQAAANDDupNd29ts75V0t6TdEfEpSSdGxN3tX7lb0olLHCMAAADQ\n",
       "yfb1/kJEPCDpdNsPk3SV7bPn7g/bR6yFWHQbAAAAsAwR4dXu2PBF0s+oWbO7T9JJ7W0nS9q34O/G\n",
       "JroXbmYcNMtvljBGmjRpjqdZwhhp0qS55t+L1e5b790YTpi+04Lth0h6nqQ9kq6Q9LL2r71M0uVr\n",
       "dQAAAICtsN4yhpMlvcP2NjXre38vIj5ge4+ky2xfIOk2Sef3HMeuntvTLK/Zq7faMhnbb1h0e6z2\n",
       "rY317eq4HU2aNMtqpu7RpEkzk+aak92IuF7S0xbcfo+kb+/7yWfsTdiiWUYzQW9+vvtmSa9a8Pe6\n",
       "znMllfFc0qRJM78eTZo0M2mu+z67ncN29Hg1DVhT88ruRvdd93llFwAAZG6teSe/LhgAAADVymKy\n",
       "a3uF5riayxijNEleLOG5pEmTZn49mjRp5tPMYrILAAAALANrdlEk1uwCAIAp1uwCAABglLKY7Oa6\n",
       "xoPm8pqs2aVJk2ZOzRLGSJMmzW6ymOwCAAAAy8CaXRSJNbsAAGBqrXnner8uGEBmVvtVyYswyQcA\n",
       "jF0WyxhyXeNBc3lN1uz2FXOX3Qtu6yffx06TZhnnJJo0aebRzGKyCwAAACwDa3ZRpDGv2d34Y6/r\n",
       "cQMAsBreZxcAAACjlMVkN9c1HjSX12TNbmqT5MVSHjtNmjn2aNKkmU8zi8kuAAAAsAys2UWRWLPL\n",
       "ml0AAKZYswsAAIBRymKym+saD5rLa7JuNbVJ8mIpj50mzRx7NGnSzKeZxWQXAAAAWAbW7KJIrNll\n",
       "zS4AAFOs2QUAAMAoZTHZzXWNB83lNVm3mtokebGUx06TZo49mjRp5tPMYrILAAAALANrdlEk1uyy\n",
       "ZhcAgCnW7AIAAGCUspjs5rrGg+bymqxbTW2SvFjKY6dJM8ceTZo082lmMdkFAAAAlmHNNbu2T5X0\n",
       "TkmPULNI8G0R8RbbF0r6IUl/3/7Vn4yI981ty5pdLA1rdse5Zrd57BtT22MHAKxurXnnepPdkySd\n",
       "FBF7bR8r6ROSXiDpfEn3RsSvdfmkqfEP4Pgw2R3zZHecj32sNnN+lzjHA2PV+QfUIuKzEbG3/fg+\n",
       "STdKetS0m3CAK/0rMXfZveC2fnJdi1Jik3WrqU2SF3nsNPNpzp/L05/j83zcNGmOp2k7NnPZTHvD\n",
       "a3Zt75J0hqS/am96he1rbb/d9o7NfFIAAADgcMv5j+2G3me3XcIwkfSLEXG57Ufo0HrdX5B0ckRc\n",
       "MLfNwMsY+NbmmLCMYZz7+5gf+1iN+VhHWix5zFvfY32teef2DXzyoyW9R9LvR8TlkhQRn5u5/39J\n",
       "unKVbS+RdFt79YCkvRExae9baVtJrh/6VuaK1r5+cGxJPz/Xh73emGj9r3dzfavHy/6e5voh6z3+\n",
       "ZpstHO+m/lHN5fnN9fpY93euL+P8EVp/f/JWnz9KuL5bm3N2uvN7c73dbkXSrnU/e0SsepFkNe/G\n",
       "8Otzt5888/GrJb1rwbaxVnvu765s9O+usn1IMXfZveC2jY9pGeOkuRVf835f9xyfyzHv76U89lLG\n",
       "WUJz8XOZ/vnM7XHTTN/kuEzXXMZx2be51udZ75XdZ0p6iaTrbO9pb/spSS+2fXozMN0q6UfW6QAA\n",
       "MrLWq8/2kd8JDL6tC6BQG1qz2ynMml0s0ca/5lJtX/cx7++lPPYSxlnKMVTKOJG/Eo7LUizjuOzb\n",
       "XGveue6aXQAAgNVsdo36MscCLJLFrws+cnFyCpPkxWWMc6zNHL/mXuJ7/M19npVeA11okrxYwn7U\n",
       "mCQvMs60ShhnKft7vs2Yu+xecFs/JexHUp5foyH+bWtM+m2+pGYWk10gHxs5YS9n6Q8AoLHKJGx3\n",
       "+snZmCz/PyS5Ys0uipTjeqGhjHl/L+WxlzDO+vZ3aevHuXE1HZvL2N9LaZYi9WPP8d9g1uwCW4S1\n",
       "bMCYbPwfagDDyWIZA+twOm87yBrTvuMcoteYpE8maQ7xraNJgsbhxrxGrJT9k3GmU8IYpfz+HVrd\n",
       "JH2ykCZfo/yaWUx20cei9aTjWYeD3LFvAgC2Fmt2C1bKWrZlyHG9UL9mDmvZNmbrx5n/sV7COEs5\n",
       "fzDOtMZ8rJdwXC4La3YBQNJGT4QASsexjnHJYhlDKWtRxrwOhzW7NGttsrZ43iR5sYRxljBGqZxx\n",
       "jrk55rlCrs0sJrsAsLVYWwwAtWLNbsFKWSO2DDmuF+rXrG8tG828z0mlnD8YZ1ql7O+lNEvBml0A\n",
       "QNbG/AsLgLHh/dnTy2IZQylrUca8Doc1uzRpbnVzqLcZnCRoHC6343249yjvPsbV5PZc0jxSmq9R\n",
       "mcd6rk1e2R3IWidM+8j/mOX4tjQ5jRMA+pk/1U0krSz4e5zigNKxZncgOa5vGaq5DKU89lLWndHM\n",
       "u1nK/r4MpTz2+p7Puo6hZTWXoYTHnuMxlNWaXdaiAECdWFsMIEdbtGa3zLUorJVKh+eSJs1am6Wu\n",
       "LU7dW06Tc2f+Tb5G+TWz+AE1AAAAYBkGX7NbwlqUZchxfctQzWUo5bGXsr/TzLtZ3/5OM/9zZ13H\n",
       "0LKay1DCY8/xGMpqzS7Gh3V8AABgq2SyjGFSRJN1OH1sZA1f3+8yTHpuT5MmzfE2U/eW0+Tfofyb\n",
       "fI3ya/LK7ipWezWS95oFAAAoB2t2B2rmuL6FZk7NuvZ3mpw/aPZvLkMJ+3tJzWUo4bHneAyttWY3\n",
       "k2UMAAAAQHqZTHYnNEfXTN2jSZMmzZx6y2myHjT/Jl+j/JqZTHYBAACA9FizO1Azx/UtNHNq1rW/\n",
       "0+T8QTNVc+M4Jw3fXIYSHnuOxxDvswsAQJE2/o8/gMXWXMZg+1Tbu21/yvYnbb+yvX2n7att32z7\n",
       "/bZ39BvGpN/mNAtspu7RpEmTZk49mmNtsmY3v+Z6a3bvl/TqiPgGSc+Q9B9tP1nS6yVdHRFPkPSB\n",
       "9joAAACQlU2t2bV9uaTfbC/Pjoi7bZ8kaRIRT5r7u6zZ7dSjOc5mXfs7Tc4fNEtv1nUMLau5DCU8\n",
       "9hz39yTvs2t7l6QzJH1U0okRcXd7192STtxoBwAAABjKhn5Azfaxkt4j6T9HxL2zvzI3ImKNX617\n",
       "iaTb2qsHJO09dO+k/XNFh6/HWJndfiUiJtOP28+38PrhPUl6s6TTZ67Pfo6N9KbbzG6/V9KrEvam\n",
       "Vo4Y/3q9I9cEzW4/3z40xm49qf/zmbo33WZ2+0Vfn5UN9VZ//NPG/Pj7PJ/z7Y33tv753Fhvs8/n\n",
       "Vu3vpTyfi3tTK0eMv/7zx0Tpn8+Szx+zt5W/v5d2/lhw/VWS9nbd/tAYV2Y+rv/5XNyTVts/2+1W\n",
       "JO3SeiJizYukoyVdJelVM7ftk3RS+/HJkvYt2C5W6YUUc5fdC25bvH2pzcW9MTcX9cbc3FiP5jib\n",
       "ZR/rpTQX9cbc3Fhv7M1VPs9Kz+2zf+w5HutrfZ411+y6eQn3HZI+HxGvnrn9Te1tv2z79ZJ2RMTr\n",
       "57aNYM1uhx7NcTbr2t9pcv6gWXqzrmNoWc1lKOGx57i/r7Vmd71lDM+U9BJJ19ne0972k5IuknSZ\n",
       "7QvULFM4f4OjAwAAAAaz5g+oRcSHI2JbRJweEWe0l/dFxD0R8e0R8YSIOCciDvQbxqTf5jQLbKbu\n",
       "0aRJk2ZOPZpjaNqOjV62cpxjb2743RgAAAAwL+Yuuxfchq20qffZ3VSYNbsdezTH2axrf6fJ+YNm\n",
       "6c26jiGa9Z+T1lqzyyu7AAAAqFYmk90JzdE1U/do0qRJM6ceTZo0c2lmMtkFAAAA0mPN7kDNHNe3\n",
       "0MypWdf+TpPzB83Sm3UdQzTrPyexZhcAAACjlMlkd0JzdM3UPZo0adLMqUeTJs1cmplMdgEAAID0\n",
       "WLM7UDPH9S00c2rWtb/T5PxBs/RmXccQzfrPSazZBQAAwChlMtmd0BxdM3WPJk2aNHPq0aRJM5dm\n",
       "JpNdAAAAID3W7A7UzHF9C82cmnXt7zQ5f9AsvVnXMUSz/nMSa3YBAAAwSplMdic0R9dM3aNJkybN\n",
       "nHo0adLMpZnJZBcAAABIjzW7AzVzXN9CM6dmXfs7Tc4fNEtv1nUM0az/nMSaXQAAAIxSJpPdCc3R\n",
       "NVP3aNKkSTOnHk2aNHNpZjLZBQAAANJjze5AzRzXt9DMqVnX/k6T8wfN0pt1HUM06z8nsWYXAAAA\n",
       "o5TJZHdCc3TN1D2aNGnSzKlHkybNXJqZTHYBAACA9FizO1Azx/UtNHNq1rW/0+T8QbP0Zl3HEM36\n",
       "z0ms2QUAAMAoZTLZndAcXTN1jyZNmjRz6tGkSTOX5rqTXdsX277b9vUzt11o+9O297SXc3uPBAAA\n",
       "AEhs3TW7tp8l6T5J74yIb2xve4OkeyPi19bYjjW7nXo0x9msa3+nyfmDZunNuo4hmvWfk3qt2Y2I\n",
       "D0nav/AzAQAAABnrs2b3Fbavtf122zv6DWPSb3OaBTZT92jSpEkzpx5NmjRzaW7vuN3/kPTz7ce/\n",
       "IOlXJV0w/5dsXyLptvbqAUl7D907af9cWeW6ZHslIibTjyVptetHbr937vr0/kPttXvTbWa335u4\n",
       "N+vw8a/Xm15fbfuuz+fqvb7PZ+redJvZ7Rd9fVY21Fv98c9fP/TX+j2f3Xpb/3xurLfZ53Or9vdS\n",
       "ns/FvVmHj7/+88dE6Z/Pks8fh3++0vd3zh/TbWa3r//5XL23+Plst1uRtEvr2ND77NreJenK6Zrd\n",
       "jdzHmt2uPZrjbNa1v9Pk/EGz9GZdxxDN+s9JvdbsrjKgk2eufrek61f7uwAAAMBW2chbj10q6SOS\n",
       "nmj7Tts/KOmXbV9n+1pJz5b06n7DmPTbnGaBzdQ9mjRp0sypR5MmzVya667ZjYgXL7j54t6fGQAA\n",
       "AFiyDa3Z7RRmzW7HHs1xNuva32ly/qBZerOuY4hm/eek5Gt2AQAAgBJkMtmd0BxdM3WPJk2aNHPq\n",
       "0aRJM5dmJpNdAAAAID3W7A7UzHF9C82cmnXt7zQ5f9AsvVnXMUSz/nMSa3YBAAAwSplMdic0R9dM\n",
       "3aNJkybNnHo0adLMpZnJZBcAAABIjzW7AzVzXN9CM6dmXfs7Tc4fNEtv1nUM0az/nMSaXQAAAIxS\n",
       "JpPdCc3RNVP3aNKkSTOnHk2aNHNpZjLZBQAAANJjze5AzRzXt9DMqVnX/k6T8wfN0pt1HUM06z8n\n",
       "sWYXAAAAo5TJZHdCc3TN1D2aNGnSzKlHkybNXJqZTHYBAACA9FizO1Azx/UtNHNq1rW/0+T8QbP0\n",
       "Zl3HEM36z0ms2QUAAMAoZTLZndAcXTN1jyZNmjRz6tGkSTOXZiaTXQAAACA91uwO1MxxfQvNnJp1\n",
       "7e80OX/QLL1Z1zFEs/5zEmt2AQAAMEqZTHYnNEfXTN2jSZMmzZx6NGnSzKWZyWQXAAAASI81uwM1\n",
       "c1zfQjOnZl37O03OHzRLb9Z1DNGs/5zEml0AAACMUiaT3QnN0TVT92jSpEkzpx5NmjRzaWYy2QUA\n",
       "AADSW3fNru2LJX2HpM9FxDe2t+2U9IeSHiPpNknnR8SBue1Ys9upR3Oczbr2d5qcP2iW3qzrGKJZ\n",
       "/zmp75rd35V07txtr5d0dUQ8QdIH2usAAABAVtad7EbEhyTtn7v5+ZLe0X78Dkkv6DeMSb/NaRbY\n",
       "TN2jSZMmzZx6NGnSzKXZdc3uiRFxd/vx3ZJO7D0SAAAAILHtfQMREc06iyPZvkTNml5JOiBp76F7\n",
       "J+2fK+1l9vrB7VciYjL9uP18C68v2r65bUWH33+ovXZv7e3T9RZfX683vX7keFbU5/lc3Ftr/Ifa\n",
       "a413674+Kxvqrf/4jxx/9+dzpXNv65/PjfU2+3xu1f5eyvO5em/x9frPH4dvz/nj8PGXvr9z/lh7\n",
       "+1qfz9XHN73t8PG2261I2qV1bOiXStjeJenKmR9Q2ydpJSI+a/tkSbsj4klz2/ADap16NMfZrGt/\n",
       "p8n5g2bpzbqOIZr1n5P6/oDaIldIeln78cskXd6x05r025xmgc3UPZo0adLMqUeTJs1cmutOdm1f\n",
       "Kukjkp5o+07bPyDpIknPs32zpOe01wEAAICsbGgZQ6cwyxg69miOs1nX/k6T8wfN0pt1HUM06z8n\n",
       "LWMZAwAAAJC9TCa7E5qja6bu0aRJk2ZOPZo0aebSzGSyCwAAAKTHmt2Bmjmub6GZU7Ou/Z0m5w+a\n",
       "pTfrOoZo1n9OYs0uAAAARimTye6E5uiaqXs0adKkmVOPJk2auTQzmewCAAAA6bFmd6BmjutbaObU\n",
       "rGt/p8n5g2bpzbqOIZr1n5NYswsAAIBRymSyO6E5umbqHk2aNGnm1KNJk2YuzUwmuwAAAEB6rNkd\n",
       "qJnj+haaOTXr2t9pcv6gWXqzrmOIZv3nJNbsAgAAYJQymexOaI6umbpHkyZNmjn1aNKkmUszk8ku\n",
       "AAAAkB5rdgdq5ri+hWZOzbr2d5qcP2iW3qzrGKJZ/zmJNbsAAAAYpUwmuxOao2um7tGkSZNmTj2a\n",
       "NGnm0sxksgsAAACkx5rdgZo5rm+hmVOzrv2dJucPmqU36zqGaNZ/TmLNLgAAAEYpk8nuhObomql7\n",
       "NGnSpJlTjyZNmrk0M5nsAgAAAOmxZnegZo7rW2jm1Kxrf6fJ+YNm6c26jiGa9Z+TWLMLAACAUcpk\n",
       "sjuhObpm6h5NmjRp5tSjSZNmLs1MJrsAAABAeqzZHaiZ4/oWmjk169rfaXL+oFl6s65jiGb956S1\n",
       "1uxu32B1tYHdJukLkr4q6f6IOKtPDwAAAEip7zKGkLQSEWf0m+hOeg6DZnnN1D2aNGnSzKlHkybN\n",
       "XJop1uxu6CV0AAAAYGi91uza/ltJ/6hmGcPvRMT/nLmPNbudejTH2axrf6fJ+YNm6c26jiGa9Z+T\n",
       "lrZmV9IzI+Izth8u6Wrb+yLiQzOf+BJJt7VXD0jae2jTSfvnyirXJdsrETGZfixJq11fvze9fqi9\n",
       "dm+6zdC9lQ31ptcPb6/em26TrjfRrHy/Pisb6m3981nX/r7Zx79VX59Sns+N91Y21Nv6/X2iWfl+\n",
       "fVY21OP5nG6Tpsf5Y7pNml4pz+fGe5PZca5I2qX1RESSi6Q3SPrxmeuxyt8LKeYuuxfctnj7UpuL\n",
       "e2NuLuqNubmxHs1xNss+1ktpLuqNubmxHs1xNnM81tf6PJ3X7Nr+WtvHtR8fI+kcSdd37QEAAACp\n",
       "dV6za/s0SX/SXt0u6Q8i4o0z90ewZrdDj+Y4m3Xt7zQ5f9AsvVnXMUSz/nPSUtbsRsStkk7vuj0A\n",
       "AACwbJn8uuAJzdE1U/do0qRJM6ceTZo0c2lmMtkFAAAA0uv1Prtrhlmz27FHc5zNuvZ3mpw/aJbe\n",
       "rOsYoln/OWmtNbu8sgsAAIBqZTLZndAcXTN1jyZNmjRz6tGkSTOXZiaTXQAAACA91uwO1MxxfQvN\n",
       "nJp17e80OX/QLL1Z1zFEs/5zEmt2AQAAMEqZTHYnNEfXTN2jSZMmzZx6NGnSzKWZyWQXAAAASI81\n",
       "uwM1c1zfQjOnZl37O03OHzRLb9Z1DNGs/5zEml0AAACMUiaT3QnN0TVT92jSpEkzpx5NmjRzaWYy\n",
       "2QUAAADSY83uQM0c17fQzKlZ1/5Ok/MHzdKbdR1DNOs/J7FmFwAAAKOUyWR3QnN0zdQ9mjRp0syp\n",
       "R5MmzVyamUx2AQAAgPRYsztQM8f1LTRzata1v9Pk/EGz9GZdxxDN+s9JrNkFAADAKGUy2Z3QHF0z\n",
       "dY8mTZo0c+rRpEkzl2Ymk10AAAAgPdbsDtTMcX0LzZyade3vNDl/0Cy9WdcxRLP+cxJrdgEAADBK\n",
       "mUx2JzRH10zdo0mTJs2cejRp0sylmclkFwAAAEiPNbsDNXNc30Izp2Zd+ztNzh80S2/WdQzRrP+c\n",
       "xJpdAAAAjFLnya7tc23vs/03tl/XbxiTfpvTLLCZukeTJk2aOfVo0qSZS7PTZNf2UZJ+U9K5kp4i\n",
       "6cW2n9x9GHu7b0qz0GYJY6RJk+Z4miWMkSZNml10fWX3LEm3RMRtEXG/pHdLOq/7MA5035Rmoc0S\n",
       "xkiTJs3xNEsYI02aNLvoOtl9lKQ7Z65/ur0NAAAAyEbXyW7it3C4LW2OZgHN1D2aNGnSzKlHkybN\n",
       "XJqd3nrM9jMkXRgR57bXf1LSAxHxyzN/ZznvaQYAAADMWe2tx7pOdrdLuknScyX9naRrJL04Im7s\n",
       "M0gAAAAgpe1dNoqIr9j+T5KuknSUpLcz0QUAAEBulvYb1AAAAICtxm9QAwAAQLU6LWPow/Y2Ne/T\n",
       "+yg17+pwl6RrosdLzDTzbpYwRpo0aY6nWcIYadKkmaYpDbyMwfY5kt4q6RY1780rSadIerykl0fE\n",
       "VTTrapYwRpo0aY6nWcIYadKkmaZ5UEQMdpG0T9KuBbefJmkfzfqaJYyRJk2a42mWMEaaNGmmaU4v\n",
       "Q6/ZPUrNS9Lz7lL3JRU0826WMEaaNGmOp1nCGGnSpJmmKfXduIOLJX3M9qU69BL1qZJe1N5Hs75m\n",
       "CWOkSZPmeJoljJEmTZppmpK24K3HbD9F0nmSHtnedJekKyLiBpp1NksYI02aNMfTLGGMNGnSTNOU\n",
       "eJ9dAAAAVGzQNbu2d9i+yPY+2/tt39N+fJHtHTTra5YwRpo0aY6nWcIYadKkmaY5NfQPqF0mab+k\n",
       "FUk7I2KnpLMlHWjvo1lfs4Qx0qRJczzNEsZIkybNNM1Gn7dy6PC2Ejd3uY9muc0SxkiTJs3xNEsY\n",
       "I02aNNM0p5ehX9m93fZrbZ84vcH2SbZfJ+kOmlU2SxgjTZo0x9MsYYw0adJM05Q0/DKGF0o6QdIH\n",
       "3azH2C9pIul4SefTrLJZwhhp0qQ5nmYJY6RJk2aapiTejQEAAAAVG/qV3YNsP23u+pk0626WMEaa\n",
       "NGmOp1nCGGnSpNm/uWWTXUk/Nnf9R2lW3yxhjDRp0hxPs4Qx0qRJs2eTZQwAAACo1vahP6HtbZLO\n",
       "0uG/Cu6a6DHrppl3s4Qx0qRJczzNEsZIkybNNE1p4Fd2bZ8j6a2SbpH06fbmUyQ9XtLLI+IqmnU1\n",
       "SxgjTZo0x9MsYYw0adJM0zyoz5v0bvYiaZ+kXQtuP03SPpr1NUsYI02aNMfTLGGMNGnSTNOcXob+\n",
       "AbWj1LwkPe8udV9SQTPvZgljpEmT5niaJYyRJk2aaZpS3407uFjSx2xfqkMvUZ8q6UXtfTTra5Yw\n",
       "Rpo0aY6nWcIYadKkmaYpaQvejcH2UySdp8MXH18RETfQrLNZwhhp0qQ5nmYJY6RJk2aapsRbjwEA\n",
       "AKBig67Ztb3D9kW297n5vcf3tB9fZHsHzfqaJYyRJk2a42mWMEaaNGmmaU4N/QNql0naL2lF0s6I\n",
       "2CnpbEkH2vto1tcsYYw0adIcT7OEMdKkSTNNs9HnrRw6vK3EzV3uo1lus4Qx0qRJczzNEsZIkybN\n",
       "NM3pZehXdm+3/VrbJ05vsH2S7ddJuoNmlc0SxkiTJs3xNEsYI02aNNM0JQ2/jOGFkk6Q9EE36zH2\n",
       "S5pIOl7S+TSrbJYwRpo0aY6nWcIYadKkmaYpiXdjAAAAQMWGfmX3INtPm7t+Js26myWMkSZNmuNp\n",
       "ljBGmjRp9m9u2WRX0o/NXf9RmtU3SxgjTZo0x9MsYYw0adLs2WQZAwAAAKq1fehPaHubpLN0+K+C\n",
       "uyZ6zLpp5t0sYYw0adIcT7OEMdKkSTNNUxr4lV3b50h6q6RbJH26vfkUSY+X9PKIuIpmXc0SxkiT\n",
       "Js3xNEsYI02aNNM0D+rzJr2bvUjaJ2nXgttPk7SPZn3NEsZIkybN8TRLGCNNmjTTNKeXoX9A7Sg1\n",
       "L0nPu0vdl1TQzLtZwhhp0qQ5nmYJY6RJk2aaptR34w4ulvQx25fq0EvUp0p6UXsfzfqaJYyRJk2a\n",
       "42mWMEaaNGmmaUragndjsP0USefp8MXHV0TEDTTrbJYwRpo0aY6nWcIYadKkmaYp8dZjAAAAqNig\n",
       "a3Zt77B9ke19bn7v8T3txxfZ3kGzvmYJY6RJk+Z4miWMkSZNmmmaU0P/gNplkvZLWpG0MyJ2Sjpb\n",
       "0oH2Ppr1NUsYI02aNMfTLGGMNGnSTNNs9Hkrhw5vK3Fzl/toltssYYw0adIcT7OEMdKkSTNNc3oZ\n",
       "+pXd222/1vaJ0xtsn2T7dZLuoFlls4Qx0qRJczzNEsZIkybNNE1Jwy9jeKGkEyR90M16jP2SJpKO\n",
       "l3Q+zSqbJYyRJk2a42mWMEaaNGmmaUri3RgAAABQsaFf2QUAAAAGw2QXAAAA1WKyCwAAgGplM9m1\n",
       "/Tya42qWMEaaNGmOp1nCGGnSpNlh+1x+QM32nRFxKs3xNEsYI02aNMfTLGGMNGnS3LztKQezHttX\n",
       "rnH38TTra5YwRpo0aY6nWcIYadKkmaY5NehkV9K3SXqppPtmbgtJlvQtNKtsljBGmjRpjqdZwhhp\n",
       "0qSZpilp+MnuRyV9KSIm83fYvolmlc0SxkiTJs3xNEsYI02aNNM0m+1zWbMLAAAApJbNuzEAAAAA\n",
       "qQ062bX9Tbb/zPa7bZ9me7ftf7T9IduPo1lfs4Qx0qRJczzNEsZIkybNNM2DImKwi6S/lPRdkl4s\n",
       "6TPtn9va295Ps75mCWOkSZPmeJoljJEmTZppmgfbfTbu8ED2zHx8y2r30aynWcIYadKkOZ5mCWOk\n",
       "SZNmmuZCSIHUAAAPE0lEQVT0MvSa3aNmPv61ufuOpllls4Qx0qRJczzNEsZIkybNNM1Gn5lyh1n7\n",
       "j0o6bsHtj5P0Zpr1NUsYI02aNMfTLGGMNGnSTNOcXnjrMQAAAFRry996zPZf0xxXs4Qx0qRJczzN\n",
       "EsZIkybN7rZ8sqvm18DRHFezhDHSpElzPM0SxkiTJs2Ocpjs/inN0TVLGCNNmjTH0yxhjDRp0uyI\n",
       "NbsAAACo1tC/Qe3R7W/G+LDtn7J99Mx9l9Osr1nCGGnSpDmeZgljpEmTZprm1NDLGC6WNJH0CkmP\n",
       "lPRB2ye09z2GZpXNEsZIkybN8TRLGCNNmjTTNBt93resw3uoXTt3/SWSbpD09er+GzdoZtwsYYw0\n",
       "adIcT7OEMdKkSTNNc3rZrmFtt/3giPiyJEXE79v+rKSrJB1Ds8pmCWOkSZPmeJoljJEmTZppmo0+\n",
       "M+UOs/b/Imllwe1nSLqaZn3NEsZIkybN8TRLGCNNmjTTNKcX3o0BAAAA1crhfXYlSbZ/lua4miWM\n",
       "kSZNmuNpljBGmjRpdtg+l1d2bd8ZEafSHE+zhDHSpElzPM0SxkiTJs3NG/QH1Gzfu8bdD6FZX7OE\n",
       "MdKkSXM8zRLGSJMmzTTNqaHfjWG/pLMi4rPzd9i+k2aVzRLGSJMmzfE0SxgjTZo00zQlDb9m9/ck\n",
       "PXqV+y6lWWWzhDHSpElzPM0SxkiTJs00TUkZrdkFAAAAUtvyd2OwfSHNcTVLGCNNmjTH0yxhjDRp\n",
       "0uxuyye7ks6jObpmCWOkSZPmeJoljJEmTZod5TDZNc3spR7nmJ/LZSjl+SyluQylPPZSns/USnku\n",
       "S2kuQymPvZTncxmyfT63fM2u7W0R8QDNZM2jIuKriZtJxzny5zL7rw9NvkaJm9kfRwU9l6U0OYbS\n",
       "NrM/htpmts/noK/s2j7a9ktsn9tef5mkt9i+wHbK/xH8WZ+NbZ8wd/2lkn7D9g93Haft77F9fPvx\n",
       "I2y/U9J1tv/Q9ikdm79u+9tmb+u789o+3vYbbP+Q7W22f1rSlbZ/xfbXdWw+x/Zv2b7C9p9I+iXb\n",
       "j+s5znNt/7btK21fKem3pvtVKtPn0j1+c0s7zgts75pr/mDHHseQxncMtV2OowTHEccQxxDH0Hj+\n",
       "LZoa9JVd22+X9DBJD5L0T5K+RtJ7JH2npDsi4jUdmtdLCh3+UvcTJN0sKSLiqR2aeyLijPbj/yrp\n",
       "WZLeJem7JN0ZEa/u0LwxIp7cfnyZpL+U9MeSnivpeyPieR2afy/pdkmPkPRuSZdGxJ7Nduaa75V0\n",
       "naSHSnqypOsl/ZGk50l6akRsav2M7YsknSTpA5JeIOlWNV+bH5P0xoi4rMMYf0PS4yW9U9Jd7c2n\n",
       "SHqppFsi4pWbba7z+Tr95hbbb5T0TEl/rWbf+Y2IeEt738F9bJNNjiGN6xhqmxxHiY4jjiGOIXEM\n",
       "jebfooMiYrCLpE+1fx4t6R5JX9Ne3y7puo7NKyT9gZoD4jGSdkm6c/pxx+ae2Y8lHTsz7k92bN40\n",
       "8/En5u67ts84253hZyV9StJNkt4g6Qkdm9e2f1rS3/Ud5+zz1X6dP9J+/HXT/aFD829Wud1qTjBd\n",
       "mveucflKx+YnJR3dfrxD0nslvbkd556OTY6hGNcxNN2XZj7mOOpxHHEMHfyYYyg4hrocQ22niONo\n",
       "ehn6B9Tul6SIuF/SxyLin9vrX1Ezm9+0iHi+mv9NvE3S6RFxm5od4vb24y4eYvtpts9Us4PcNzPu\n",
       "rt+e+aDtn7f9EEkT298jSbbPlnSgY1PtuG6OiJ+PiG+QdL6aX6v33o65bbZ3SjpV0rG2T2vHeYK6\n",
       "LXv56vTbZpIeNW1ExP6O45OkL9s+a8HtZ6n5H2YX+yU9PiKOm79I+kzH5lHtPqOIOKDmf9QPVfMK\n",
       "xYM6NjmGxncMSRxHKY8jjiGOIY6h8fxbdDA+2EXS+yQdt+D2kyVd07N9rKRfl/R/JN3VszWRtHvm\n",
       "8sj29hMkfbxj80GSfk7SHe3lAUn3qfmtII/u2Oz0P7J1mj8g6fOSbpH0HZL+n5o1M5+W9H0dei9U\n",
       "8y2uP1PzP7TvbG9/hKR3dRzjmZKukXSjpKvby42SPirpzI7N/6bm1xQuuu9NHZt/KunZC27/RUkP\n",
       "dGy+T+0rPHO3cwx1a2Z/DLVNjqMjb+90HHEMcQxxDB28vfp/i6aXLX83BkmyfYyaJ+3uBK3TJT0j\n",
       "In67/8iOaB8l6cER8cWenR1qXur/fPT4Atg+LiLu7TOWVboPUvO/qQdsP1TSkyTdGhF/37F3vKTH\n",
       "qvm2Tp//Rc93T1bzP/RQ862urv/rXYr21RNFxBH/w7d9SkR8OuHnOkbSMRHxuQQtjqGeFhxDT5b0\n",
       "t12PobY5PY7+JppXZ5Joj6NHtlfvigW/l34rDXUccQx17nAMHfq3SGqOIf4tyuw42t43sFm2Hy3p\n",
       "CxFxoP3WxNMl3RgRn0zRlPSPkj5v+1+lai5jnO1PRK7Y3te1GRH3LmOcahbxf0HNt7V2qlkv8yVJ\n",
       "XU8yx6g9uSQco9T8IMApar6l90V1/xbPQba/eaZ5c0Ts69qKiH9y44hmn5OLbat5DufH2fkfvwXN\n",
       "SdfWXPfpar4VmWSci5qS+nyN7l3j+ewsIv7F9tNtzz72zv9It83P236spLNtJxln+9gfo0P/UG+3\n",
       "fXfPyY8lfYsO/Uf0LjWv9HT91ub0OHrGgman42iNMfY5hrap+fb1I9WuhbTtRM/lwf+MJBin23Ee\n",
       "nJzZ7vP1uXfmsSf5mrful3SWm3eJmDb/oUdPataWPl7Sc5qnIck41U5uD/v3x/aT+h6f87o2F01y\n",
       "ZxzbY0iLPtcX2/Ne78luROyVtFfq/3wO/W4Mr5f0I5L+RdKvSPoJSX8h6RmSLo6IX6VZV3NJY3y2\n",
       "pF9VMxk/U9JH1Cy6v1/SSyPiTpo0aa7bPEfSW9V8q3g6aTxFzWTg5RFxVY3NEsZIs4zmOp+v0zsn\n",
       "0Fy1eUdEPLpzYLX1Dcu4SLpBzaL1E9SsE3p4e/sx6v7TkDQzbi5pjHtnOqdJurz9+HmS3k+TJs0N\n",
       "NfdpwU84t/19tTZLGCPNYpr/fY3LvTS3vjm9DP1uDF+J5uX0/Wq+LX6P1LzsrWahPM36mssY47Y4\n",
       "9C3hO9R8G1YRcbWa/6nTpElzfUfp0HuDzrpL3Ze4ldAsYYw0y2h+v5q39fqEpI/PXD6h5ruZNLe+\n",
       "KWn4Nbufsn2pmlf13i/pMje/xeQ5kq6lWWVzGWP8hJs3tN4t6fntn9OF8V3/A0eT5tiaF0v6WHt8\n",
       "Tr+te6qkF7X31dosYYw0y2h+XM379/7F/B22L6SZRbPZvn3peBC2H6xmx/pMRFxl+yWSvlXNtxd+\n",
       "J9r3aaNZT3NJY3yQpP+g5qdzr1Wz9verbn7i9MTo8H58NGmOrdl2nyLpPB3+A1BXRMQNXXqlNEsY\n",
       "I838m27eC/jLEfGlrmOiudzmwfaQk10AAABgSIOu2bV9nJvf3vIp21+w/Q+2/8r299OsszngGD9K\n",
       "kybNTTV32L7I9j7b+23f0358kZv3YK2yWcIYadKkmaY5NfQPqP2BpFslnSvpQklvkfR9at7z7pdo\n",
       "VtkcaowvpUmT5qZcpuYHR1ck7YyInZKmvzb2soqbJYyRJk2aaZqNPm/lsNmLpOvmrn+8/XObpJto\n",
       "1tcsYYw0aY60eXOX+0pvljBGmjRppmlOL0O/svtF28+SJNvnqfnd14qIrm9BRTP/ZgljpElzjM3b\n",
       "bb/W9onTG2yfZPt1at7erNZmCWOkSZNmmmajz0y5w6z9myR9TM1L0n8h6Ynt7Q+X9Eqa9TVLGCNN\n",
       "miNt7pT0JjXvjLK/vexrb9tZa7OEMdKkSTNNc3rh3RgAAABQraGXMazK9g/QHFezhDHSpFlz0/aT\n",
       "bD/X9rFzt59bc7OEMdKkSTNNU9KwyxjWefn6TprjapYwRpo0a21KeqWkmyRdLul2SS+YuW9Prc0S\n",
       "xkiTJs00zell0F8XbPv6Ne5+BM36miWMkSbNMTYl/bCkMyPiPtu7JP2x7V0R8eaOvVKaJYyRJk2a\n",
       "aZqSNOxkV81J+Vw1i47nfYRmlc0SxkiT5hibjoj7JCkibrO9Iuk9th8jyRU3SxgjTZo00zQlDT/Z\n",
       "/VNJx0bEnvk7bH+QZpXNEsZIk+YYm5+zfXpE7JWk9tWU75T0dklPrbhZwhhp0qSZpilJvBsDAIyR\n",
       "7VMl3R8Rn5273ZKeGREfrrFZwhhp0qSZpnmwwWQXAAAAtcrmrccAAACA1JjsAgAAoFpMdgEAAFAt\n",
       "JrsAAACoFpNdAOjB9oW2f3yN+8+z/eSO7cO2tf1ztp/bpQUAY8VkFwD6We8tbb5b0lM6tg/bNiLe\n",
       "EBEf6NgCgFFisgsAm2T7p23fZPtDkp7Y3vZDtq+xvdf2H9t+iO1vlfRdkn7F9h7bp9n+etvvtf1x\n",
       "239u+4mrfI7Zbf/a9mNtX2L737b332b7l9rux20/zfb7bd9i+0dmOq9px3Wt7QuX/dwAQG6Y7ALA\n",
       "Jtg+U9ILJX2TpH8j6ZvVvLr7vyPirIg4XdKNki6IiI9IukLST0TEGRFxq6S3SXpFRDxd0mskvXXR\n",
       "55nb9mkR8bft55m+khySbo+IMyT9uaRL1LwS/AxJP9eO9RxJj4uIsySdIelM289K+oQAQOaG/nXB\n",
       "AFC6Z6mZ2H5Z0pdtX6Hm97Z/o+1flPQwScdKet/MNpYk28dK+teS/qj5pUCSpAet8/nW+p3wV7R/\n",
       "Xi/pmIj4oqQv2v5n2w+TdI6kc2xPf83wMZIeJ+lD6z9MAKgDk10A2JzQ4gno70o6LyKut/0ySStz\n",
       "20jNd9MOtK/Gbubzreaf2z8fkPQvM7c/oEPn9zdGxNs28fkAoCosYwCAzflzSS+w/WDbx6lZVytJ\n",
       "x0n6rO2jJb1Ehyap90p6qCRFxBck3Wr730nN73y3/dQ1PtfBbdexaPIdkq6S9IO2j2k/36NsP3wD\n",
       "PQCoBpNdANiEiNgj6Q8lXSvp/0q6Rs3E8mckfVTSh9Ws2Z16t6TX2P6E7dMkfa+kC2zvlfRJSc9f\n",
       "49PNbvvYtYalw18BjnasV0t6l6S/tH2dpMvULLEAgNFwxHrvmgMAAACUiVd2AQAAUC1+QA0Atpjt\n",
       "n5L07+duviwi3rgV4wGAmrCMAQAAANViGQMAAACqxWQXAAAA1WKyCwAAgGox2QUAAEC1/j841PmN\n",
       "lIrI0QAAAABJRU5ErkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a929f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "max_y.plot(kind = 'bar', figsize = (12, 4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Referenciamos la funcionalidad [`fevd` (*fit extreme value distribution*) dentro del paquete `extremes`](http://cran.r-project.org/web/packages/extRemes/extRemes.pdf) de R para poder usarla directamente con los valores máximos que hemos obtenido usando Pandas y desde Python."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "fevd = extremes.fevd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Como hemos comentado anteriormente, vamos a calcular los parámetros de la GEV usando el método de ajuste `GMLE` (*Generalised Maximum Lihelihood Estimation*) y los vamos a guardar directamente en una variable Python."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Veamos la ayuda antes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Python representation of an R function.\r\n",
      "description\r\n",
      "-----------\r\n",
      "\r\n",
      "\n",
      " Fit a univariate extreme value distribution functions (e.g., GEV, GP, PP, Gumbel, or Exponential) to data; possibly with covariates in the parameters.\n",
      " \r\n",
      "\r\n",
      "\r\n",
      "fevd(\r\n",
      "    x,\r\n",
      "    data,\r\n",
      "    threshold = rinterface.NULL,\r\n",
      "    threshold_fun = ~,\r\n",
      "    location_fun = ~,\r\n",
      "    scale_fun = ~,\r\n",
      "    shape_fun = ~,\r\n",
      "    use_phi = False,\r\n",
      "    type = c,\r\n",
      "    method = c,\r\n",
      "    initial = rinterface.NULL,\r\n",
      "    span,\r\n",
      "    units = rinterface.NULL,\r\n",
      "    time_units = days,\r\n",
      "    period_basis = year,\r\n",
      "    na_action = <rpy2.rinterface.SexpVector - Python:0x116D6C50 / R:0x0C4BB100>,\r\n",
      "    optim_args = rinterface.NULL,\r\n",
      "    priorFun = rinterface.NULL,\r\n",
      "    priorParams = rinterface.NULL,\r\n",
      "    proposalFun = rinterface.NULL,\r\n",
      "    proposalParams = rinterface.NULL,\r\n",
      "    iter = 9999.0,\r\n",
      "    weights = 1.0,\r\n",
      "    blocks = rinterface.NULL,\r\n",
      "    verbose = False,\r\n",
      ")\r\n",
      "\r\n",
      "x :  `fevd`: `x` can be a numeric vector, the name of a column of `data` or a formula giving the data to which the EVD is to be fit.  In the case of the latter two, the `data` argument must be specified, and must have appropriately named columns.`plot` and `print` method functions: any list object returned by `fevd`. ,\r\n",
      "\r\n",
      "object :  A list object of class \\dQuote{fevd} as returned by `fevd`. ,\r\n",
      "\r\n",
      "data :  A data frame object with named columns giving the data to be fit, as well as any data necessary for modeling non-stationarity through the threshold and/or any of the parameters. ,\r\n",
      "\r\n",
      "threshold :  numeric (single or vector).  If fitting a peak over threshold (POT) model (i.e., `type` = \\dQuote{PP}, \\dQuote{GP}, \\dQuote{Exponential}) this is the threshold over which (non-inclusive) data (or excesses) are used to estimate the parameters of the distribution function.  If the length is greater than 1, then the length must be equal to either the length of `x` (or number of rows of `data`) or to the number of unique arguments in `threshold.fun`. ,\r\n",
      "\r\n",
      "threshold.fun :  formula describing a model for the thresholds using columns from `data`.  Any valid formula will work.  `data` must be supplied if this argument is anything other than ~ 1.  Not for use with `method` \\dQuote{Lmoments}. ,\r\n",
      "\r\n",
      "location.fun :  formula describing a model for each parameter using columns from `data`.  `data` must be supplied if any of these arguments are anything other than ~ 1. ,\r\n",
      "\r\n",
      "scale.fun :  formula describing a model for each parameter using columns from `data`.  `data` must be supplied if any of these arguments are anything other than ~ 1. ,\r\n",
      "\r\n",
      "shape.fun :  formula describing a model for each parameter using columns from `data`.  `data` must be supplied if any of these arguments are anything other than ~ 1. ,\r\n",
      "\r\n",
      "use.phi :  logical; should the log of the scale parameter be used in the numerical optimization (for `method` \\dQuote{MLE}, \\dQuote{GMLE} and \\dQuote{Bayesian} only)?  For the ML and GML estimation, this may make things more stable for some data. ,\r\n",
      "\r\n",
      "type :  `fevd`: character stating which EVD to fit.  Default is to fit the generalized extreme value (GEV) distribution function (df).`plot` method function: character describing which plot(s) is (are) desired.  Default is \\dQuote{primary}, which makes a 2 by 2 panel of plots including the QQ plot of the data quantiles against the fitted model quantiles (`type` \\dQuote{qq}), a QQ plot (\\dQuote{qq2}) of quantiles from model-simulated data against the data, a density plot of the data along with the model fitted density (`type` \\dQuote{density}) and a return level plot (`type` \\dQuote{rl}). In the case of a stationary (fixed) model, the return level plot will show return levels calculated for return periods given by `return.period`, along with associated CIs (calculated using default `method` arguments depending on the estimation method used in the fit.  For non-stationary models, the data are plotted as a line along with associated effective return levels for return periods of 2, 20 and 100 years (unless `return.period` is specified by the user to other values.  Other possible values for `type` include \\dQuote{hist}, which is similar to \\dQuote{density}, but shows the histogram for the data and \\dQuote{trace}, which is not used for L-moment fits.  In the case of MLE/GMLE, the trace yields a panel of plots that show the negative log-likelihood and gradient negative log-likelihood (note that the MLE gradient is currently used even for GMLE) for each of the estimated parameter(s); allowing one parameter to vary according to `prange`, while the others remain fixed at their estimated values.  In the case of Bayesian estimation, the \\dQuote{trace} option creates a panel of plots showing the posterior df and MCMC trace for each parameter. ,\r\n",
      "\r\n",
      "method :  `fevd`: character naming which type of estimation method to use.  Default is to use maximum likelihood estimation (MLE). ,\r\n",
      "\r\n",
      "initial :  A list object with any named parameter component giving the initial value estimates for starting the numerical optimization (MLE/GMLE) or the MCMC iterations (Bayesian).  In the case of MLE/GMLE, it is best to obtain a good intial guess, and in the Bayesian case, it is perhaps better to choose poor initial estimates.  If NULL (default), then L-moments estimates and estimates based on Gumbel moments will be calculated, and whichever yields the lowest negative log-likelihood is used.  In the case of `type` \\dQuote{PP}, an additional MLE/GMLE estimate is made for the generalized Pareto (GP) df, and parameters are converted to those of the Poisson Process (PP) model.  Again, the initial estimates yielding the lowest negative log-likelihoo value are used for the initial guess. ,\r\n",
      "\r\n",
      "span :  single numeric giving the number of years (or other desired temporal unit) in the data set.  Only used for POT models, and only important in the estimation for the PP model, but important for subsequent estimates of return levels for any POT model.  If missing, it will be calculated using information from `time.units`. ,\r\n",
      "\r\n",
      "units :  (optional) character giving the units of the data, which if given may be used subsequently (e.g., on plot axis labels, etc.). ,\r\n",
      "\r\n",
      "time.units :  character string that must be one of \\dQuote{hours}, \\dQuote{minutes}, \\dQuote{seconds}, \\dQuote{days}, \\dQuote{months}, \\dQuote{years}, \\dQuote{m/hour}, \\dQuote{m/minute}, \\dQuote{m/second}, \\dQuote{m/day}, \\dQuote{m/month}, or \\dQuote{m/year}; where m is a number.  If `span` is missing, then this argument is used in determining the value of `span`.  It is also returned with the output and used subsequently for plot labelling, etc. ,\r\n",
      "\r\n",
      "period.basis :  character string giving the units for the period.  Used only for plot labelling and naming output vectors from some of the method functions (e.g., for establishing what the period represents for the return period). ,\r\n",
      "\r\n",
      "rperiods :  numeric vector giving the return period(s) for which it is desired to calculate the corresponding return levels. ,\r\n",
      "\r\n",
      "period :  character string naming the units for the return period. ,\r\n",
      "\r\n",
      "burn.in :  The first `burn.in` values are thrown out before calculating anything from the MCMC sample. ,\r\n",
      "\r\n",
      "a :  when plotting empirical probabilies and such, the function `ppoints` is called, which has this argument `a`. ,\r\n",
      "\r\n",
      "d :  numeric determining how to scale the rate parameter for the point process.  If NULL, the function will attempt to scale based on the values of `period.basis` and `time.units`, the first of which must be \\dQuote{year} and the second of which must be one of \\dQuote{days}, \\dQuote{months}, \\dQuote{years}, \\dQuote{hours}, \\dQuote{minutes} or \\dQuote{seconds}.  If none of these are the case, then `d` should be specified, otherwise, it is not necessary. ,\r\n",
      "\r\n",
      "density.args :  named list object containing arguments to the `density` and `hist` functions, respectively. ,\r\n",
      "\r\n",
      "hist.args :  named list object containing arguments to the `density` and `hist` functions, respectively. ,\r\n",
      "\r\n",
      "na.action :  function to be called to handle missing values.  Generally, this should remain at the default (na.fail), and the user should take care to impute missing values in an appropriate manner as it may have serious consequences on the results. ,\r\n",
      "\r\n",
      "optim.args :  A list with named components matching exactly any arguments that the user wishes to specify to `optim`, which is used only for MLE and GMLE methods.  By default, the \\dQuote{BFGS} method is used along with `grlevd` for the gradient argument.  Generally, the `grlevd` function is used for the `gr` option unless the user specifies otherwise, or the optimization method does not take gradient information. ,\r\n",
      "\r\n",
      "priorFun :  character naming a prior df to use for methods GMLE and Bayesian.  The default for GMLE (not including Gumbel or Exponential types) is to use the one suggested by Martins and Stedinger (2000, 2001) on the shape parameter; a beta df on -0.5 to 0.5 with parameters `p` and `q`.  Must take `x` as its first argument for `method` \\dQuote{GMLE}.  Optional arguments for the default function are `p` and `q` (see details section).The default for Bayesian estimation is to use normal distribution functions.  For Bayesian estimation, this function must take `theta` as its first argument.Note: if this argument is not NULL and `method` is set to \\dQuote{MLE}, it will be changed to \\dQuote{GMLE}. ,\r\n",
      "\r\n",
      "priorParams :  named list containing any prior df parameters (where the list names are the same as the function argument names).  Default for GMLE (assuming the default function is used) is to use `q` = 6 and `p` = 9.  Note that in the Martins and Stedinger (2000, 2001) papers, they use a different EVD parametrization than is used here such that a positive shape parameter gives the upper bounded distribution instead of the heavy-tail one (as emloyed here).  To be consistent with these papers, `p` and `q` are reversed inside the code so that they have the same interpretation as in the papers.Default for Bayesian estimation is to use ML estimates for the means of each parameter (may be changed using `m`, which must be a vector of same length as the number of parameters to be estimated (i.e., if using the default prior df)) and a standard deviation of 10 for all other parameters (again, if using the default prior df, may be changed using `v`, which must be a vector of length equal to the number of parameters). ,\r\n",
      "\r\n",
      "proposalFun :  For Bayesian estimation only, this is a character naming a function used to generate proposal parameters at each iteration of the MCMC.  If NULL (default), a random walk chain is used whereby if theta.i is the current value of the parameter, the proposed new parameter theta.star is given by theta.i + z, where z is drawn at random from a normal df. ,\r\n",
      "\r\n",
      "proposalParams :  A named list object describing any optional arguments to the `proposalFun` function.  All functions must take argument `p`, which must be a vector of the parameters, and `ind`, which is used to identify which parameter is to be proposed.  The default `proposalFun` function takes additional arguments `mean` and `sd`, which must be vectors of length equal to the number of parameters in the model (default is to use zero for the mean of z for every parameter and 0.1 for its standard deviation). ,\r\n",
      "\r\n",
      "iter :  Used only for Bayesian estimation, this is the number of MCMC iterations to do. ,\r\n",
      "\r\n",
      "weights :  numeric of length 1 or n giving weights to be applied     in the likelihood calculations (e.g., if there are data points to     be weighted more/less heavily than others). ,\r\n",
      "\r\n",
      "blocks :  An optional list containing information required to fit point process models in a computationally-efficient manner by using only the exceedances and not the observations below the threshold(s). See details for further information.       ,\r\n",
      "\r\n",
      "FUN :  character string naming a function to use to estimate the parameters from the MCMC sample.  The function is applied to each column of the `results` component of the returned `fevd` object. ,\r\n",
      "\r\n",
      "verbose :  logical; should progress information be printed to the screen?  If TRUE, for MLE/GMLE, the argument `trace` will be set to 6 in the call to `optim`. ,\r\n",
      "\r\n",
      "prange :  matrix whose columns are numeric vectors of length two for each parameter in the model giving the parameter range over which trace plots should be made.  Default is to use either +/- 2 * std. err. of the parameter (first choice) or, if the standard error cannot be calculated, then +/- 2 * log2(abs(parameter)).  Typically, these values seem to work very well for these plots. ,\r\n",
      "\r\n",
      "... :  Not used by most functions here.  Optional arguments to `plot` for the various `plot` method functions.In the case of the `summary` method functions, the logical argument `silent` may be passed to suppress (if TRUE) printing any information to the screen. ,\r\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(fevd.__doc__)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Y ahora vamos a hacer un cálculo sin meternos mucho en todas las opciones posibles."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "res = fevd(max_y.values, type = \"GEV\", method = \"GMLE\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "¿Qué estructura tiene la variable `res` que acabamos de crear y que tiene los resultados del ajuste?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'rpy2.robjects.vectors.ListVector'>\n"
     ]
    }
   ],
   "source": [
    "print(type(res))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<bound method ListVector.r_repr of <ListVector - Python:0x10AB8878 / R:0x0CA9B458>\r\n",
      "[Vector, ndarray, ndarray, ..., ndarray, ListV..., ListV...]\r\n",
      "  call: <class 'rpy2.robjects.vectors.Vector'>\r\n",
      "  <Vector - Python:0x10AB8418 / R:0x0CB2FFB4>\r\n",
      "[RNULLType, Vector, Vector, Vector]\r\n",
      "  data.name: <class 'numpy.ndarray'>\r\n",
      "  array(['structure(c(22.2, 25.5, 21.5, 22.5, 23.7, 22.5, 21.7, 29.7, 24.2, ',\n",
      "       '23.8, 28.1, 23.4, 23.7, 25.6, 23.2, 24.9, 22.8, 24.6, 22.3, 25.5, ',\n",
      "       '22.6, 24, 20.8, 23.5, 24.4, 24.1, 25.1, 19.4, 22.8, 24.2, 25, ',\n",
      "       '25.3), .Dim = 32L)', ''], \n",
      "      dtype='<U66')\r\n",
      "  weights: <class 'numpy.ndarray'>\r\n",
      "  array([ 1.])\r\n",
      "  ...\r\n",
      "  call: <class 'numpy.ndarray'>\r\n",
      "  array(['location', 'scale', 'shape'], \n",
      "      dtype='<U8')\r\n",
      "<ListVector - Python:0x10AB8878 / R:0x0CA9B458>\r\n",
      "[Vector, ndarray, ndarray, ..., ndarray, ListV..., ListV...]\r\n",
      "<ListVector - Python:0x10AB8878 / R:0x0CA9B458>\r\n",
      "[Vector, ndarray, ndarray, ..., ndarray, ListV..., ListV...]>\n"
     ]
    }
   ],
   "source": [
    "print(res.r_repr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Según nos indica lo anterior, ahora `res` es un vector que está compuesto de diferentes elementos. Los vectores pueden tener un nombre para todos o algunos de los elementos. Para acceder a estor nombres podemos hacer:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['call', 'data.name', 'weights', 'in.data', 'x', 'priorFun',\n",
       "       'priorParams', 'method', 'type', 'period.basis', 'par.models',\n",
       "       'const.loc', 'const.scale', 'const.shape', 'n', 'na.action',\n",
       "       'parnames', 'results', 'initial.results'], \n",
       "      dtype='<U15')"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res.names"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Según el output anterior, parece que hay un nombre `results`, ahí es donde se guardan los valores del ajuste, los estimadores. Para acceder al mismo podemos hacerlo de diferentes formas. Con Python tendriamos que saber el índice y acceder de forma normal (`__getitem__()`). Existe una forma alternativa usando el método `rx` que nos permite acceder directamente con el nombre:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "results = res.rx('results')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<bound method ListVector.r_repr of <ListVector - Python:0x10ABBCB0 / R:0x0CBFBC40>\r\n",
      "[ListVector]\r\n",
      "<ListVector - Python:0x10ABBCB0 / R:0x0CBFBC40>\r\n",
      "[ListVector]>\n"
     ]
    }
   ],
   "source": [
    "print(results.r_repr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Parece que tenemos un único elemento:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<bound method ListVector.r_repr of <ListVector - Python:0x10ABF490 / R:0x0C851BA0>\n",
       "[ndarray, ndarray, ndarray, ..., RNULL..., ndarray, ListV...]\n",
       "  par: <class 'numpy.ndarray'>\n",
       "  array([ 23.06394152,   1.75769129,  -0.16288164])\n",
       "  value: <class 'numpy.ndarray'>\n",
       "  array([  1.00000000e+16])\n",
       "  counts: <class 'numpy.ndarray'>\n",
       "  array([1, 1], dtype=int32)\n",
       "  ...\n",
       "  par: <class 'rpy2.rinterface.RNULLType'>\n",
       "  rpy2.rinterface.NULL\n",
       "  value: <class 'numpy.ndarray'>\n",
       "  array([[ 0.,  0.,  0.],\n",
       "       [ 0.,  0.,  0.],\n",
       "       [ 0.,  0.,  0.]])\n",
       "<ListVector - Python:0x10ABF490 / R:0x0C851BA0>\n",
       "[ndarray, ndarray, ndarray, ..., RNULL..., ndarray, ListV...]>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results = results[0]\n",
    "results.r_repr"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vemos ahora que `results` tiene un elemento con nombre `par` donde se guardan los valores de los estimadores del ajuste a la GEV que hemos obtenido usando GMLE. Vamos a obtener finalmente los valores de los estimadores:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "23.0639415199 1.75769128743 -0.162881636772\n"
     ]
    }
   ],
   "source": [
    "location, scale, shape = results.rx('par')[0][:]\n",
    "print(location, scale, shape)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Funcion mágica para R (antigua `rmagic`)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Usamos la antigua función mágica `rmagic` que ahora se activará en el notebook de la siguiente forma:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%load_ext rpy2.ipython"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Veamos como funciona la functión mágica de R:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Help on function R in module rpy2.ipython.rmagic:\n",
      "\n",
      "R(self, line, cell=None, local_ns=None)\n",
      "    ::\n",
      "    \n",
      "      %R [-i INPUT] [-o OUTPUT] [-n] [-w WIDTH] [-h HEIGHT] [-p POINTSIZE]\n",
      "             [-b BG] [--noisolation] [-u {px,in,cm,mm}] [-r RES]\n",
      "             [code [code ...]]\n",
      "    \n",
      "    Execute code in R, optionally returning results to the Python runtime.\n",
      "    \n",
      "    In line mode, this will evaluate an expression and convert the returned\n",
      "    value to a Python object.  The return value is determined by rpy2's\n",
      "    behaviour of returning the result of evaluating the final expression.\n",
      "    \n",
      "    Multiple R expressions can be executed by joining them with semicolons::\n",
      "    \n",
      "        In [9]: %R X=c(1,4,5,7); sd(X); mean(X)\n",
      "        Out[9]: array([ 4.25])\n",
      "    \n",
      "    In cell mode, this will run a block of R code. The resulting value\n",
      "    is printed if it would printed be when evaluating the same code\n",
      "    within a standard R REPL.\n",
      "    \n",
      "    Nothing is returned to python by default in cell mode::\n",
      "    \n",
      "        In [10]: %%R\n",
      "           ....: Y = c(2,4,3,9)\n",
      "           ....: summary(lm(Y~X))\n",
      "    \n",
      "        Call:\n",
      "        lm(formula = Y ~ X)\n",
      "    \n",
      "        Residuals:\n",
      "            1     2     3     4\n",
      "         0.88 -0.24 -2.28  1.64\n",
      "    \n",
      "        Coefficients:\n",
      "                    Estimate Std. Error t value Pr(>|t|)\n",
      "        (Intercept)   0.0800     2.3000   0.035    0.975\n",
      "        X             1.0400     0.4822   2.157    0.164\n",
      "    \n",
      "        Residual standard error: 2.088 on 2 degrees of freedom\n",
      "        Multiple R-squared: 0.6993,Adjusted R-squared: 0.549\n",
      "        F-statistic: 4.651 on 1 and 2 DF,  p-value: 0.1638\n",
      "    \n",
      "    In the notebook, plots are published as the output of the cell::\n",
      "    \n",
      "        %R plot(X, Y)\n",
      "    \n",
      "    will create a scatter plot of X bs Y.\n",
      "    \n",
      "    If cell is not None and line has some R code, it is prepended to\n",
      "    the R code in cell.\n",
      "    \n",
      "    Objects can be passed back and forth between rpy2 and python via the -i -o flags in line::\n",
      "    \n",
      "        In [14]: Z = np.array([1,4,5,10])\n",
      "    \n",
      "        In [15]: %R -i Z mean(Z)\n",
      "        Out[15]: array([ 5.])\n",
      "    \n",
      "        In [16]: %R -o W W=Z*mean(Z)\n",
      "        Out[16]: array([  5.,  20.,  25.,  50.])\n",
      "    \n",
      "        In [17]: W\n",
      "        Out[17]: array([  5.,  20.,  25.,  50.])\n",
      "    \n",
      "    The return value is determined by these rules:\n",
      "    \n",
      "    * If the cell is not None (i.e., has contents), the magic returns None.\n",
      "    \n",
      "    * If the final line results in a NULL value when evaluated\n",
      "      by rpy2, then None is returned.\n",
      "    \n",
      "    * No attempt is made to convert the final value to a structured array.\n",
      "      Use %Rget to push a structured array.\n",
      "    \n",
      "    * If the -n flag is present, there is no return value.\n",
      "    \n",
      "    * A trailing ';' will also result in no return value as the last\n",
      "      value in the line is an empty string.\n",
      "    \n",
      "    optional arguments:\n",
      "      -i INPUT, --input INPUT\n",
      "                            Names of input variable from shell.user_ns to be\n",
      "                            assigned to R variables of the same names after\n",
      "                            calling self.pyconverter. Multiple names can be passed\n",
      "                            separated only by commas with no whitespace.\n",
      "      -o OUTPUT, --output OUTPUT\n",
      "                            Names of variables to be pushed from rpy2 to\n",
      "                            shell.user_ns after executing cell body (rpy2's\n",
      "                            internal facilities will apply ri2ro as appropriate).\n",
      "                            Multiple names can be passed separated only by commas\n",
      "                            with no whitespace.\n",
      "      -n, --noreturn        Force the magic to not return anything.\n",
      "    \n",
      "    Plot:\n",
      "      Arguments to plotting device\n",
      "    \n",
      "      -w WIDTH, --width WIDTH\n",
      "                            Width of plotting device in R.\n",
      "      -h HEIGHT, --height HEIGHT\n",
      "                            Height of plotting device in R.\n",
      "      -p POINTSIZE, --pointsize POINTSIZE\n",
      "                            Pointsize of plotting device in R.\n",
      "      -b BG, --bg BG        Background of plotting device in R.\n",
      "    \n",
      "    SVG:\n",
      "      SVG specific arguments\n",
      "    \n",
      "      --noisolation         Disable SVG isolation in the Notebook. By default,\n",
      "                            SVGs are isolated to avoid namespace collisions\n",
      "                            between figures.Disabling SVG isolation allows to\n",
      "                            reference previous figures or share CSS rules across a\n",
      "                            set of SVGs.\n",
      "    \n",
      "    PNG:\n",
      "      PNG specific arguments\n",
      "    \n",
      "      -u <{px,in,cm,mm}>, --units <{px,in,cm,mm}>\n",
      "                            Units of png plotting device sent as an argument to\n",
      "                            *png* in R. One of [\"px\", \"in\", \"cm\", \"mm\"].\n",
      "      -r RES, --res RES     Resolution of png plotting device sent as an argument\n",
      "                            to *png* in R. Defaults to 72 if *units* is one of\n",
      "                            [\"in\", \"cm\", \"mm\"].\n",
      "      code\n",
      "\n"
     ]
    }
   ],
   "source": [
    "help(rpy2.ipython.rmagic.RMagics.R)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A veces, será más simple usar la función mágica para interactuar con R. Veamos un ejemplo donde le pasamos a R el valor obtenido de la función `fevd` del paquete `extRemes` de R que he usado anteriormente y corremos cierto código directamente desde R sin tener que usar `ro.r`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nOzdeXwTRfsA8EnpRQut\n",
       "vSj0oLQkLbShXMrRyo1IWpCCtCoeeCaKR+rrgfj294pYOUQ0wQNTUCyKIoiEK5G7IFQFVCg9IElb\n",
       "WkqBQtv0vrO/PwbWJUnTZHNt0uf74cMn2ezOTpLtk93ZmWdYBEEgAAAAzONi7woAAADQDwI0AAAw\n",
       "FARoAABgKAjQAADAUBCgAQCAoSBAAwAAg4lEIqVSSeMlgiAIgsAr4McJCQmbNm0in44ZMwYhJJPJ\n",
       "yK0SEhJEIlFGRgZ+2r9/f61iIyMjab+RKVOm0N4WAOBkXFxMPgF1c3Pz9vYeOHAgfhoWFqa1glKp\n",
       "jIuLw48fffRRhJBAIDh8+HB3BZKxDiGUkJCAgyR1hezsbN2tOBzO7beAEBIKhWw2u7tATFYLIUQN\n",
       "x0Kh0MD6VElJSfgNEARx7dq148ePky81NDTgB0uWLMEPSktLyZrgBzjiU5fguB8YGIgQmjVrFvk/\n",
       "tWTMz8+vx+oNHDgQF4X5+voa+b4AAEzGYrFM3WT48OG+vr54dEh8fLy/vz+bzUYIeXt74xX2799P\n",
       "nkRu27YNP4iIiKAWIpPJyJCdmZlJLk9LS0tMTMzIyAgODp43bx5CiMfjrV69Ggd6HMTi4+MDAgKm\n",
       "T58eHx8fHx9vav0BAADYVt++fQ2vMGDAAL3Lyd+oPn36UJcHBQWZVAEaFyMAAMBwNM7i6dDbUGIA\n",
       "jCAHAAAabNHKarhFGwAAgF7Dhg3TXsTn8/Wu6uXlhR+88cYbJu1D604lAAD0Hgb6dSAaLbr9+vUz\n",
       "XNBzzz2ndwU3Nzf8QKsNevjw4QZ2p3sOD23QAAAAAADAoSiVStzHGXelpofaf5m6HCF0+PBhrZLx\n",
       "vozZo1aZejekrsDn83X3jv8nSxg+fDi5Al4fVz4jIwN3LMddrcne2X369BkzZkxwcDCfzyfLJx8o\n",
       "lcoxY8bg7utjxoxJSEjIzs5msVhj7iALRAjFxcUFBwdT2+iVSiXZlITu3PaNi4ubNm0aXkLtpk3i\n",
       "8XgIof79+w8ZMsTANwvduoEFWaNPAvXim1q+1r7Insham+C/rPnz5+New97e3m5ubrgTMQ4RuJfx\n",
       "kiVLgoODhw8fPnToUBaLNX/+fJFI5O7ujkuYP39+cHAwQRB4LwEBAZGRkfPnz8ehZsiQIfHx8fPn\n",
       "z8dLRCKRVtTi8/kikYgc1tddKMPr9BjucCjDu7t9N4+MbsYUoYXa3KxVGnWXuiWLKAzXWKtM3Q11\n",
       "d6q1d/wN4W11SyN0hveQcLweMGAA/srx99rdhrNmzcIfq0gkCgkJCQkJuf0p3+mFjguMj4/H1cC9\n",
       "G/XcE7hTmt7lVPhQ01rS41YAMBO9ozc8PNzb2xtHah8fH09PT29vb61RynFxcSKRCAfxPn364Agb\n",
       "EhKCEBo4cCB1ZS8vr8jISHxyhsek9O3bF59pJSQkZGRk4BhNDTLUAYfdBSIjT39xCYcPH+7fv79S\n",
       "qWQR0B8OAAAYCW7NAQAAQ0GABgAAhoIADQAADAUBGgAAGAoCNAAAMBQEaAAAYCgI0AAAwFAQoAEA\n",
       "gKEgQAMAAENBgAYAAIaCAA0AAAwFARoAABgKAjQAADAUBGgAAGAoCNAAAMBQEKABAIChIEADAABD\n",
       "QYAGAACGggANAAAMBQEaAAAYCgI0AAAwFARoAABgKAjQAADAUBCgAQCAoSBAAwAAQ0GABgAAhoIA\n",
       "DQAADAUBGgAAGAoCNAAAMBQEaAAAYCgI0AAAwFAQoIGTEwgELAp7VwcAE0CABk4uKyuLIIiEhASC\n",
       "IPh8vr2rA4AJIECDXiQ/P9/eVQDABBCggZMTiUQCgSAtLY3FYnG5XHtXBwATsAiCsHcdAAAA6AFn\n",
       "0MDJJSYm6n0MAPNBgAZOC/ffyM3NhS4cwEFBEwdwcomJiadOnbJ3LQCgAwI0AAAwFDRxACcHA1WA\n",
       "44IADZwcDFQBjgsCNOhFYKAKcCwQoIGTg4EqwHHBTUIAAGAoOIMGAACGggANnFliYiLZfwOGEQKH\n",
       "AwEaOK3ExMSMjAzijoyMDIjRwLFAgAbOjMfj6X0MgEOAAA0AAAxllQAtl8tZd5PL5dbYEQAGUNMk\n",
       "Ybm5ufauFAAmsEo3u8TExOzsbDabjZ+qVCoOhwP9+QAAwCTWauIgozN+nJCQYKUdAQCAs7LKGTSL\n",
       "xVIqlfTOoIuLizdu3GjxKgHGcnFxEQqFwcHB9q6IVcDx7Ij69u3b1tam0WhobGvZ49nVIqVokclk\n",
       "HA5Ha4neNevq6g4ePEhdcvDgQRaLlZaWZo2KAQbatm3buXPnHnzwQXtXxCpOnjzZ1dXlrO+OsQbW\n",
       "Hq32GdfRpx+NbV1cXBBC9KIzsvTxbJUAzePxjDxfVqvVJSUl1CV5eXkREREzZ860RsWAfVVXV+fl\n",
       "5fn5+Y0aNYpceObMGTtWyQZiY2PheLapK8fQPxfRgx8iZFp2WYIgFApF3759Bw8eTHvnlj2erRKg\n",
       "5XJ5UlJSQkICl8vNyspCCFFbPKgiIiKWLl1KXaJSqWj/dgEmO3v2bHp6+qxZs8rLywmC+Prrr629\n",
       "R73Zn+FmtZNrr0cnM9C8XTSic2FhYf/+/Y2PzgqFYvPmzZGRkc8//zw+77Y4qwTozMxMgiDEYvH2\n",
       "7dvx3wNMOwTef//9n376KTQ0FCH04osvnj59ety4cVbdo+6xByMJnV9rLZq+HnkNMGkjjUZTUFAQ\n",
       "EBAQEhJi5CZdXV0xMTH4MUEQAoHAtHoaxyoBGouOjoamZECqr68nj/7o6OjKykrb7Jfa9xn6QTs/\n",
       "nwjkE2HSFp2dnfn5+SEhIQMGmBDW6+vryccFBQUm7dF41upmp1KpeDyeUCi0UvnA4YwfP37Tpk0I\n",
       "oaqqKqlUOmHCBNvsVyaTkQNVurtZDZxBrQLlmdxhpqOjIy8vLzw83KTojBDy8/N79tln8ePFixeb\n",
       "ul8jWeUMOjs7m9qvDve6s8aOgANZsWLF0qVLp02b5urq+sEHHwwcONA2+zX+ljVwYJ2t6NdnEG+L\n",
       "SRu1tbXl5+cPHTr0nnvuobHPr7/+OjMz08/Pz9PTk8bmxrBKgGaz2dQ/CfjzAAghT09PsVhs71pY\n",
       "l2630ZMnT0ZHR9urPr3IHyvQiOfRPUON36KlpaWgoCA6OtrHx4f2bgcNGkR7W2NYsQ0aACbAfYrw\n",
       "dLEpKSlWzWmnt9toXV2d9fbYHRar2zFoel8iFxrYkNE4C1DwvcavbpHobAMQoIGTS0pKUiqVa9eu\n",
       "lUgk1o4+TOg2in+QTH2J5JDRGSGTonNTU1NhYWFsbKy3t7f1amQRkG4UAKeiUCgIgtCb/cbASyTc\n",
       "eVylUpGT0ZB9EwUCAV7CpKYqAh14DrXX97ziHXV1dRcvXhwxYgTzozOCM2jg9MjEA1lZWczqxVFz\n",
       "CRVsRgghxEIjX0Q+EUYt6YmBrlOm9qoiO5KrVCp8nx8vEYvFcrmcERMgnP0E3cNG7sY2U9TU1Fy+\n",
       "fHnEiBHu7u5WrZelwBk0cHK4FwfGiJhC6heColNRdCqKXoj6Bhm7xET4tJfGMAoul0t9oFAosrKy\n",
       "8Bl0enq6QqHQWv/atWtdXV00akhfzSVUdgiNe9vI1W/evFlWVhYfH+8o0RnBGTRwelojCRk0otW9\n",
       "Pwoea/ISE0kkEolEYk4JWHR0tEgkMnAOXltb6+/v36dPH/P3Zaz+oWjuDsQyao/Xrl2rqqqKj4+3\n",
       "aQ3NBmfQwGnhk0fqvCr2rpED4/F4hYWFzJojya0fcu9vzIoVFRXV1dUjRoxwrOiMIEADJyaRSPA9\n",
       "MbKJg0Gnz1Zm4J3qfYnsvIEfsNls8rxbIpHgTGf48+yuscjNzc1KCYP0UO5Ep1cbue7ly5cbGhri\n",
       "4uJsVz3LcbwaA2CS3hOU7YvD4bi5udliT/WX0d/r0Zh0Y9YtLi5ua2sbNmwY9fpJpVLx+fxly5ap\n",
       "1Wqr1dIyrDhprEAgEIvF+IJIpVJZY0cA9IjsHAatHE7ixFI0fT1y7WF0NU7ujBCKiYnR+t6fe+65\n",
       "jRs3rl69+p133rFiPS1BT4AWi8VisRgf1vQ6POJ0o7GxsYWFhfiCyHrJRIAdlZSU7Nixw3qpvCwi\n",
       "KyuLbOjA4wmBNdiuF0fS9yhopOFVCIIoKiry9PQcOlTP4O8TJ07gB1evXrV89SxKTy+O9PR0giDw\n",
       "mCsWi0U7Ix2kIHBu33333ZYtW1JSUn766adRo0ZlZGTYu0Y9y8/Pt3cVnJYtenG01yN3H+TSQ0MK\n",
       "Tu7s7++Pk4/r2rBhw0svvYQQeuuttyxfSYvS38ShUqnMn4dboVAUFhaaWQhgrC+++EImk7388ss/\n",
       "//zzoUOHGhsb7V0j/UQikUAgSEtLY7FYZN9eQBu9ZiJyK/qtTK21aMdM1NFseK2urq4LFy4MGDCg\n",
       "u+iMEHrxxRfxlf3kyZNpVsZW9JxB8/l8Docjk8kEAoFIJKJRaEZGBovF4vP5sbGx+PswkG60traW\n",
       "+rStrc1GtxqAGTo7Oz09PclvKiIioqqqql8/OnN01tfXd3R0WLR2dyEvASE7uUV0l6zDyF4cdHN9\n",
       "EEj+FJqyFrl5GVgJp94PCwsLDAyktRfG0fOB4s40PB5PIpHQO6bx2C28Of6l0jshIUKosLBQcLeT\n",
       "J0/W1NTQ2CmwJVdXV39//2PHjiGECgsLS0tLIyMjTS1EqVQ+88wzu3fvbm7u4bSIHpY+1tgRc4jF\n",
       "YpxDA+lLnUGm1xAIBCqVysDK+D4/7u9MfYwop8DkJniYIovFmjp1qlb6Dl00c31cOY4GjEJhUwy8\n",
       "dzL1vtNEZ6Q3QJN9MAQCAb3u6FrfKOp+LrjY2Njtd5sxY4a/vz+NnQIby8rK2rx586hRo5YtW7Zl\n",
       "yxaTYt/Zs2fnz5//4Ycfvvnmm08++aSvr681akjoY40d0dPU1HTJdAqFor293UCxXC6XIAj8p0e+\n",
       "ZblcLhaL09LS8BI8lbOBlaVSqVKpJAiCw+FQH5N70d0ELyeXGNNxi7pydwXeFj4VJX5goKi2tra8\n",
       "vLyoqKiAgIAe9+tA9ARonJ4RISSRSHpMTqhXZmYm/kalUikjRhwBKwgMDNyyZcu5c+d2795t/Onz\n",
       "6dOneTzexo0b161b9+2338bFxVm1khYhl8vxGQZ50meRbqN9+/YdbLrw8HDDbYCxsbFIX+qMwsJC\n",
       "8r492Zulu5XfeustDofDYrH2799PfUzuRaFQpKSk4McpKSn5+fm3bt3SSt9hmLG5PrraUf1lw0W1\n",
       "tLTk5+dHR0fTmxiFyaw1UIUceiSVSqETNEAI/fHHHzwe7+uvv/7yyy8lEklUVJRt9mt+E0dmZmZ2\n",
       "djb1DNQi3UZdXFz60mLMu8CpM8jrBqFQGBsbS0Y98gy6u5XxpEhKpXL79u3Ux9RNpFIpfiyVSgMD\n",
       "A825ddTR0eHq6rpmzRpqHW6/9ttSdO20gW2bmpoKCgqGDx/ev79Rw74di54AjdMz4l8z2ukZyaAs\n",
       "kUigE3Qvd+TIkZkzZ/74449fffWVRCKh0VptDmr7Bu1+0PiEw4F6juqmzhAKhdu3b8dPtT4H3ZVx\n",
       "czCHw8nIyKA+pm6C7vz4IYRGjx5NLz4qlUqZTDZ+/PhXXnll6dKl1DoghJByF2pvRDFp3W1eX19/\n",
       "8eJFLpfr5WXo5qED09tOZyYydazep4Y9//zzzz77rDVqBWxvz549M2fOfO2118rKyrpbZ+XKlb/+\n",
       "+qtt6kPvgOfz+QRBKJVK8gE1v4dhzDmeRSIReZps8T/8kpISehumpd0VfMVi8V0vH3mFaKvrblu1\n",
       "Wv3XX3+1tbXR27WVWPZ4vqubnd5LJ8L0+ypak8ZqPQW9wd69e9evXz927Njvv/8+ODjYjjWhHtX0\n",
       "zqDxXFn4MW4c6O54LigoeP/996lLzp49Gx8fT2OnFicUChMTE9PT0xFC9LrPGkD7qkirYWTMmDF3\n",
       "vTz9s+42rKmpKS8vj4+Pd3V15pzJd703CKPATARB/Pzzz2Kx+P7779+6deuAAQPsXSPLHNVGFjJs\n",
       "2DCt5MtCoZA5EcQaeaM6OztZLBbtAYQffvhhfX39zZs34+PjU1NT77///tsvVBxHIYnIRf9Hd/Pm\n",
       "zWvXrjli+lBT3dUGjW9V96p+o8BSCILYsWPHlClTCgoKpFLp6tWrmRCdkSWSJRnfbbRPnz5+d/Pw\n",
       "8HDuPyKVStXS0kJ784iIiD179vz+++8SiWTmzJm3l974C51Zi1z0B99r165du3YtLi7O6aMz0jqD\n",
       "xj+wcB4NTNLV1bV169ZNmzZNnz59165dTOuIipMlmVMC7jbKZrPxiAxmzZtlVy0tLe3t7fRGkJKq\n",
       "q6ubm5vDw8NvP2+tQYeXoAX7ENLzw3blypX6+noul+uIyZ1p0PMmqWcHBkYEAdDV1bVly5apU6de\n",
       "u3Zt3759y5cvZ1p0RnTbnbU4ULdRsrM2OR6Peg2BK0+9IMCD+ujtq7Ky8t/AemdHKpVK96IBj13U\n",
       "LWHHjh2BgYGDBw9eunTp7UVqFbo/U+8EjKWlpU1NTbGxsTg6q1QqGnMtGlMr5rgrQMMUQcBInZ2d\n",
       "WVlZEydOvHbtmkwmW7p0qY+PsTMr2575TXaO0m1ULBbjwYEEQRQWFuIQnJ+fjweOEQTBZrPlcrlI\n",
       "JFIqlZmZmQihxYsXZ2dn09vd4MGD/fz8yKf4YsWkTgFbtmzBDz766KPbiwaOQxEP6K5ZXFzc1dWl\n",
       "lXrf6d0VoHvzFEHASDg0T548uaWl5ejRo0uXLmX4AAEcNUg0SsjOzqaOcs7Ozs7NzbVcBS0MDw7E\n",
       "yJEpeCig7vmmXC7ncrl6U+WQs23g82utzBv4vNvd3Z26ArrTZ4alk6+DLFYr4UZISAj5UuKEe1H5\n",
       "ke52zWazqUMZSdRadVdPamm6tdK9x8Acepo4ICgDvdra2sRiMQ7Nhw4dEgqFZjY+2gafzzfzMtZK\n",
       "3UYbGhoK7sDpooxZYhh1NApeIpfLc3Nz8Y9TbGysXC7n8Xjp6el44Ak+iWbppDdSqVTbt2/HW6Wl\n",
       "pc2ePRvdnSijs7OT7ICM18fdV6ifDDW9Bu6eqJtw4/XXXx86dOjq1aurq66hWpXqFkt317W1tVeu\n",
       "XCH05eggf33xS/iLxkvy8/PJ751aT91a6U02whB6AjRMEQS0tLa2isXiadOm9e3b99ixY0Kh0Nvb\n",
       "296VMlZWVhY+f2Ta8ezt7R11h6enp5FLenTq1CkyHKM7qSXxS9HR0ficGq+gUCjS0tLy8/MJguBy\n",
       "udTYp1QqySEkQqGQx+NRM28oFIobN26QeVS6y7xBzdeB7wToJtxwdXWdMWPG0qVL/S99zh0xAvkM\n",
       "pu761VdfHTVq1I4dO8LDw1laOToQQpQO3bhWbDYbpzjGTbVa1SOTfmjVSm+yEYbQE6DNvyQETqOl\n",
       "pWXNmjWTJk3q27dvTk4On8/38PCwd6VMozU0y97V+Rc1Fwe+62XMEsPwKG38OD09PTk5Geexw0sU\n",
       "CgV1tHp6enp3+YQ5HA6ZeUMul69bt46aeSM6Orqurq7HHwxqvg48l41u0o9/1w4YjgJiqbvu6ura\n",
       "sGHDd9991+0mCJGVxLXC7xSv2d2UI7q10ptshCH0fOXmz6UCnEBzc/OaNWtmzpw5aNCgU6dO8fl8\n",
       "d3d3e1fKNL2wXz81RYZMJmOz2dQ8G4jSR5CcjgNPr5Gfn0/tPshms/EcNCwWKykpqby8HFEyb/B4\n",
       "POq9QWMqQy6hJv146aWX/p2IZ/jjWrt2dXV95ZVXrl69qpUnRGsv1FolJyenp6fjJVwuV+88Ibq1\n",
       "0ptshCkIHT2u0COZTIbvNJKxnryJ3CPm5C7otdRq9XvvvZeYmJidnd3e3m7t3dkyF4ftwfGsF277\n",
       "RgjNmjWL+H0Foemivtre3v7333/X1tbaq3rmsOzxrOcMWmsNGkHfSukZgbWp1erly5cnJyfHxcWd\n",
       "OHHiqaeegunHgK7Ozk4zSzh79ix+EN10EBEEYv0biNra2i5cuMBms50vuTMN1s0H7UDpGXu52tra\n",
       "d955Z968eWPHjj1x4kRqaqoTjNTCIybwjXvG9qNyROZPjr5o0SKEUGwweo0Xisa/Sy5vaWkpKCiI\n",
       "iYlheN9Nm7FKLw58tzQ5ORk3xjN8rE4vV1NT884778yfPz8xMfHYsWNz5851gtCMLV68GA/RxmO1\n",
       "yaEZwBzt7e3mpH/CWehSU1MvX768a98Bzmt/kBmRmpqaioqKYmNjHaiPkLXp+aBxL47ExMRTp07R\n",
       "G0lpfHrGvLy8Z599lrqkrKwM7lLaxvXr11etWnXhwoXXX3991apVTnkDjc1m4/OD7qYtBjTQ/gnf\n",
       "s2fPvHnzEEKvvfaaWCxGERHkS/X19cXFxVwu1+HuRVtVD7+EtK9ljGy8jo+PJ1ujsBdeeEGj0dDb\n",
       "KTBSZWXlmjVr8vPzly1bpmcGZedC9quF9g2LcHV1HThwIL1tv/32W/zg0oH1RNEE1vDH8NP6+nqV\n",
       "ShUXFwfRWYueX0KRSCQQCHBPF2Mmf9RlfHpGYGNXr14VCATPPfdcamoqnonKwMo4feikSZN+/PFH\n",
       "m9XQgnAHsqSkJKFQKBaLk5KSYJSs+VxcXPz9/U3dCvcU2LVrF0Iowg+tW+jDYs/DL9XW1hYXF48Y\n",
       "McLhutjbgJ4ALRQKJRKJUCgkCEIr+7iRYFZvBrpy5YpAIFi0aNGVK1c0Gs2ZM2e6urrwS7/88suc\n",
       "OXMefvjh48ePk+ufOnVq69ate/fulcvlu3btOnr0qJ0qTh8eRIcv5vDxbO8aOTaNRqNSqRoaGmhs\n",
       "q1AoyLxI2wVBIY9vR25eCKGqqqqKior4+HjoL6QXzOrt/FQq1eLFi9PT0xcsWNDR0ZGZmbl79261\n",
       "Wv3hhx8ihORy+bZt27Kzs0UiUWZm5vnz5/FWe/fuffvtt318fPr167ds2TJ87gN6rc7Ozn/++adf\n",
       "v340+lcoFIrnn3+efFo14j2/4Q8ihCorK2/evNlLUu/ToydAW2TklaOkZ3RuhYWFEydOfOCBB4KC\n",
       "gn744QcWi8Xj8caMGePp6bl8+fJDhw4hhH755Zf3338/ICAgPDz8zTff3LNnD97W39//6tWr+HFF\n",
       "RUVgYKDd3oZDqb1bW1ubvWtkGTU1NREREfRan1euXHny5En8eP369cmPLUEIXb16Va1Wk8mdgV56\n",
       "bhJSrwTp9eLA6RnJcrSyNQIbuHjx4nvvvXfmzJm5c+cuWbJELpcvXrxYKBRWV1fjFZqamvBFZf/+\n",
       "/WtqavDC6upqMq3z888/P3v27PLychcXlx9++IGBeWQYiMmTxprJnAnMfH19EUL9PNDWReihV19B\n",
       "iFVcXEzcSecEDOihF0dWVhaNZmiY1dteCIL48ssvs7KyAgMD16xZs3TpUtxJIyYmJikpKSYm5tKl\n",
       "SytXrhw2bNiGDRtef/11hNDLL7/86KOPCoXC5ubmTZs2/frrr7gof3//o0eP7t69myCII0eOMDkf\n",
       "f3f0Xv9Z9VCMi4vTSrjjBL2SCILo6OgwtX/Fnj17NmzYEB8fv2LFiv/9739qtfq54EP+U94iCKRU\n",
       "Kjw9PQcPHmylCjsTPQGaZfY09cCWysvLDx06FBQUFBIS8vDDD/v5+b300kunT58+cuQINRgRBOHm\n",
       "5rZ79+7t27eXlpZ+/PHHI0eORAgNHTpUKpXu3LnTzc3twIED1CQ4/fr1e/zxx+3wliwETgssQqFQ\n",
       "+Pn5mXQGXVtbi/s7//rrr2FhYa+++mr2e6motD8xPV2pVLq7u0N0NlIPTRyAmS5dunT+/PmRI0fe\n",
       "vHnz3XffnTFjxrp169RqdUxMzLFjxxBCfD4/ISFh9OjRmZmZM2fO/O2334KCgvDtnSeeeEKrtNDQ\n",
       "0Ndee80ObwMw3pUrV9zc3Ext36DO811XV4cQQhGzNBEPFhYUBAYG0u5G3QtB87zj+eSTT5YtW4ZD\n",
       "85NPPunm5lZZWblv37758+eTY3BdXFw8PT0/++yzyMjI3bt3BwcHb9682b7VthfcK18gEAgEAuj0\n",
       "aar29vbIyEhTtwoJCXnvvfcQQtOnT3/xxReRpkPDci0ovAjR2VTaZ9ACgQAPzkYIyWQynOEb5pln\n",
       "js7Ozu3bt+fm5h4/fnzHjh2VlZUymWz48OEIoZiYmBMnTuzevXvixIk7duxgs9murq4O3UZhEUlJ\n",
       "SUqlcu3atTgDAVwgGgN/SiwWa+jQoSZtePr06a+//jomJuZ///vf8uXLEUIo970uf25Be0xISAj0\n",
       "BTKV9qzeiJJuVCqVFhYWQnRmiJaWluLi4urqahaLNWvWLKlUmp2dzWazs7KyWltbL126tHXr1p07\n",
       "d/7xxx+vvfZaU1PT559/bu8qA4fU3Nx8/vz5f1PpG62lpWX8+PFZWVlvvPHGN998gxBCZYc66iry\n",
       "WtiDBw+G6EzDXWfQOE0S+TQ/Pz83N5feYEJgWTKZLDMz09vb+8yZM+7u7l999dWCBQtyc3MHDRrE\n",
       "ZrMXLFgQEBCwadOm6OjoVatW2buyzCKTyXAvz6ysLJlMZu/qMN3169evX78eExPTt29fU7dVq9Xk\n",
       "49LSUoRQ219ZBYPf4rDZkD6UHkPd7E6dOuWUGc4cS319vZeX1+uvvx4aGjp27NhNmzbNnz9fJpN9\n",
       "9tlnbDb7+++/Hzhw4Msvv2zvajIXddZU0KN+/fqNHDmS3h/+oEGDnn/++U2bNo0dO/aZZ55pbW0t\n",
       "iHgnJibGIWZ/Z6a7AjSfzxcIBOQps0AggG52dnT9+vVFixZdv369rKzM29v75MmTQUFBCKHIyMhV\n",
       "q1bhxwBYSltbm5ubG71g2tDQcPjwYTabvXHjxo8//tjLy6urrrywsNDJonNjY2NTUxP+oAYNGoQQ\n",
       "unTpEofDsd5gyLvKlUgk5KTlLBYrNjbW/PYNuHVOD0EQjz76aE1NTVpaWklJSUdHR3FxMUKosrKy\n",
       "oqICorMxWPrYu1LMdfXqVXqJkDQaTWxs7IIFC+Lj47ds2eLr69t2/ULhP7mxsbEOFJ1bW1tra2tv\n",
       "3Lhx8+ZNvESpVJ47d+7cuXMlJSV4SX19fesSwLIAACAASURBVGdnp5eXFzkdV0xMjFWHqms3cQiF\n",
       "wu5mYjee1p+B4Zz9ACFUW1u7ZMmSa9euaTSaiRMn7tq168aNGwRBKBQK3C3p2Wefff7554OCgvBc\n",
       "9Paur2PAhxyeegIvgbS33dFoNE1NTfR++IuKiioqKvDjzz//fF7SAyWF57njZrh7elq0jqbRaDQE\n",
       "QeA0TA0NDS0tLZ2dna6urrhP9+XLl3GLeb9+/XBmt1u3bnV2dnp4eJCN77oJKkJCQmz6HqzUD1ok\n",
       "EvH5fNwVhM/ny2QyiM56nT9/Pjk5edq0aePGjVuwYMGRI0cmTZr0ySefpKamVlRUDB06dPXq1XjN\n",
       "kpKSnTt3Hjt27MSJE2PGjLFvtR1Lbm6u3seACufDoncrb8iQIeTjpKSkUkX+iKhAdz+rjBXs7Oxs\n",
       "amqqq6urr6/HS27cuKFUKouKivAlJkJIpVKdPXv23Llz+EYlQqi5ubm9vR0PDsBLwsPDR40aNWrU\n",
       "KHKqnbCwsCFDhgwaNIhRWQ3ozy1mgFAolMvl1OZsQHXo0KFPPvmkubm5vLz82LFjQ4YMiY2N/fjj\n",
       "jz/99NOQkJA5c+ZMmTKlf//+W7duTUxMrK2tLSkpmTdvXkxMjL0r7pBkMhl5SQe9OLpjzthrb2/v\n",
       "gwcPfvjhh7Nnz549e/aIESPopQ/FLbwdHR0sFis0NBQhVFZWVl1drdFovL29cWf/ysrKxsZGNzc3\n",
       "Ly8vHEm9vb09PDzc3NzIbCG605sFBwdrLXGUBKdWCdAIIdx7OjExkd6cLE6ssLBw7dq1W7duLS4u\n",
       "fvHFFw8fPqzRaK5du9bU1FRQUJCTk/PWW2/hsVtqtfqRRx7573//6+vry6hfdccCvTgMKy4uNnU0\n",
       "ClVra+t77713+fLlDz74wLefZ9zgfrRjX0tLS3t7u5ubG3meGxYWFhYWRi1Q94fEgZq5abgrQFs2\n",
       "+xePx+NwOBwOJyUlpbt1Ll68+Omnn1KXnDx5Ev9UOp+jR49u3rxZpVItWLAgKCiosbGxtbV16dKl\n",
       "//vf/7Zt25aamrp69er8/HyCIDIzM4ODg3Nycnbt2oVPJQBDCASClJQUpxm91dra2traak4Jn376\n",
       "6UcffZScnHz06JGM2D/6hNLpht/R0eHi4qLbAu4o57nWc1eAtviJRo+JRqOiopYuXUpdUldX52nX\n",
       "ewuWsmvXroMHD4aGhsbFxR0+fLihoaGysnLTpk07duz46quvampqjh8/HhgY2NHR0dDQsGbNms2b\n",
       "NwcEBDz55JMxMTF///13Y2PjihUrnOOjsC+5XJ6UlIQfy2QyGrHViW96V1VVmZPoGSF0/fr11NTU\n",
       "yMhI9PsHnbx1fQaMplFIaWlpSEiIc58L02OVm4TGTxrr7u4edbf+/fs7wc/m559/fuDAAaFQWF9f\n",
       "z+fzn3vuuZqamlu3brm7u7e3t9+4cWP37t3z58/XaDRffPHFiBEjtm3b9vDDD0+dOhU3NI8ZM2by\n",
       "5MkQnS0iKSmJzF5ARmqTOPFN7z59+tCYAZbqiSeeGDly5Nq1a6dNm+oxjk4HMI1G09jYCNFZLz0B\n",
       "WiAQmNlvtDdPGnv06NGPPvroyy+/XL9+/bBhwwoKChYvXtzQ0BAZGenr6ztt2rTw8PCNGzdOmjQp\n",
       "JiZm//79s2fPnjdvnplnMcCqhEJhSkoKvdmFGC40NJT2+RBBEAUFBdXV1ampqRqNZvLSIwjRCRcN\n",
       "DQ1wi6U7em4S4owcuPco7YOSnDRWIBD0hvmucnNzL1y4kJ+fX1NT88QTT7S0tDzyyCO7du3q06dP\n",
       "Q0NDdnb2uXPnysvLn3rqKRcXl08++WTv3r2Qd9E2LNKLA256ayEIorCwMDs7e+3atYtGo8cz99O7\n",
       "OkEI9e/f38vLy7LVcxo99OLIz8+nV65KpSJjtNOPDlizZk1RUdGsWbN27ty5aNEiHo+3bNmyVatW\n",
       "ZWdnV1VVyeXy//73vw8++ODKlSsHDhxYX1+/f/9+OGW2GUv14jDmpndlZeV3331HXXL+/PmoqCjz\n",
       "924lFy5cGDFihKlb/fXXX4WFhS0tLWvXrn3mPsQdeFdDv6lcXFxg3tju6AnQIpFIIBCkpaWxWCx6\n",
       "uTh6z6SxKpWqtLR0x44dZ86cYbFYX3311T///NPU1JSamrp27dply5Y99NBDH3300eHDhysqKo4f\n",
       "P06OEAU2YPE5CXu86Y3vqVCX+Pj4MDP6NDc3l5aWent7m7pheXn54cOHf/vtt/37988cE7ZoTAVv\n",
       "I/r5l5n0qtHY2FhZWRkdHU1vc6enJ0CTQ71pj/nuJZPGrl27Njc3d9SoUaWlpT///HNqaup9992H\n",
       "R+hcuHDB09OzqKgIT3EyefJke1e2N+Lz+VlZWXw+38wBU+TpIdkJhDp8nCowMDA1NZW65ODBg8yc\n",
       "NLa+vj4iIsLUW3PHjx//+++/Dxw4gGdW400Z0zl+2R8vjB87dqypFejo6FAqlV1dXREREaZu23vo\n",
       "+W0Xi8V4KujExMTedovPeI2Njfv27fvll1/ee++9qVOnZmRklJeXFxcXl5WVlZeXJycn5+TkkBNQ\n",
       "AbuQSCQEQaSkpODb3fiopsE5bnoTBNHe3l5fX48nDBw4cKCR0bmlpWXr1q2zZ8+eM2fOlStXtmzZ\n",
       "gqPzuHHjZj374exHlpgUnQmC6OzsxA8GDx48YsQIuENogJ4Ikp6ejk94cT5opzz5NV9VVVVkZCS+\n",
       "iF65cuV99903evToadOmlZWVwcwRjEK2QYvFYtrHs8Pd9L516xZOjOnv7x8YGKjRaM6fP48H6Zma\n",
       "8WfhwoUymWzAgAH/93//l5mZeenSJYTQNDbasSkjwJRbpk1NTTU1NVVVVYMHDw4KCnJ3dycHZ4Pu\n",
       "6AnQCQkJtq+HQ2htbdVoNF5eXl1dXf7+/gqFIicn58cffzx37tzIkSN/++03e1cQ6EG9f0X7bMMh\n",
       "bnq3tbWp1erg4GCCIDo6Ovr16xcQEIBzs7m4uIweTWcISVtbGxmdP/vsM4VCgRAa5IM+mI28IiaY\n",
       "VFRNTY27u/uoUaOcYKCDzegJ0BkZGZBcRgtBEK+++mpeXp6rq2tbW1tbW5uvr69SqUxLSwsPD8ep\n",
       "juxdR6ANH8Z4jIk55TD/prdGo7ly5UpNTQ3OqsFisXA6efN5eHg8+uijiYmJH3/8cd++fb/44gu1\n",
       "Wv1g61fuiRl9fUzLTRoeHm6RKvUqegI0JJfR9dNPP/n7+584caK0tHTmzJmBgYH33HPPypUrc3Jy\n",
       "tm7dau/aAUOysrLIieoRrZNo5t/0rqur8/DwoHeObFh9ff2bb75ZVVW1a9eu2+UTGlQxEYVPM76Q\n",
       "4uLiqKgomC2BhrsCNL43rfU5Mu1YtCW1Wr1kyZLKysri4uI33nhDoVC8+OKLffr0GTBgwM6dOxFC\n",
       "2dnZ9q4j6JbTH7qNjY3t7e3+/v5+fn7WKL+urq64uHjEiBF3NRazXEyKzjdu3EDddHkEPbqrFwfu\n",
       "OUTczU4Vs7WbN28+/fTTU6dOTUlJyc7OnjVr1rRp0xITE9PS0nJycl544YX//ve/b7/99n/+8x9P\n",
       "T8+ZM2cihPLy8sLCwuxdcdAbdXR0KBSKkpISGnNvG6m2tra0tPSu6NzRhI6Z1vW2s7OzoqKCmtEf\n",
       "mERPE0d3fTydm0AgEAqFU6ZM+fPPPx944AGVSjVgwICYmJhdu3Z9++23vr6+Q4YMuXz58vr1693d\n",
       "3bdu3Xr06NG6urotW7bYu+KgN6qqqsLdM6xU/vXr16uqqrRT7x95BcWkdr+RHhqNZtiwYXBXkDY9\n",
       "ATo3N5d6PeLEJ9Ht7e3r168/dOhQWFjYlStXpkyZghCqrKzkcrm3bt26cuVKXV2dTCY7duwYl8tN\n",
       "S0t7/fXXIyMj8XBttVptTqIZAExVV1dXVVUVGhrq5eVl1SzhlZWVtbW1XC73rjGQxXuQqyeKNG08\n",
       "N/SlM5OeAG1+RDZ+5JXt1dXVffTRRwqFIj4+vra2duDAgXv37i0qKrr//vtv3rwZFBQUEhKiUqne\n",
       "euutoKCgFStWLFu27JtvvikpKeFyuRMnTsSF+Pj4QO96RyEQCMy8SWh37e3teXl5Pj4+AwYMsF6b\n",
       "BlZeXt7c3BwbG6vdahw0CkXMMqmoK1euQM8NM1nlJiEeecVms3EyPEZNP/HYY489/fTTQqFw3759\n",
       "n332WVVVFUJo5MiRycnJM2fOxDNqEwTh6ekZFRX19ddf79mzp1+/foGBgTCziYPC2RntXQuTtbW1\n",
       "3bhxw9XVNSQkxN3d/d5777XBTouLiwmCGDZsmJ7XfEybtLC6urq9vd0y1erF7grQ5E1C88tl5sir\n",
       "W7dueXp6pqWlIYSeffbZN998s7q6OiAgACHU1NTk4uJy8+bN7du3T5kyJS8vr7a29rXXXoP0Ro6O\n",
       "XsIv+1Iqle3t7UFBQfjgtA08K7bujKvoz1UoeAwa8qBJpVVUVOgP9MAU1koWwcyRVx4eHuRs7Qih\n",
       "4ODgRx999N577922bZubm9vBgwfJ283x8fH2qSKwAubfU9FoNLdu3VKr1Tivm43PaQiCKCoq8vX1\n",
       "1XOZWH4U3fgLjV9maoF+fn4eHh4Wq2JvpSdAmz+Hm/Ejr27duvXLL79Ql1y8eNF67Vb9+/cfPnz4\n",
       "0qVLp06dunfv3tGjR5eVlZ09e3bFihVPPPEEdNV0Ssxv4rh169bVq1cDAwPxbO42ptFoCgoKAgIC\n",
       "tHJ0HD9+fO2alZ9OPBf0/ElTryJZLJbu9NuABj0BGs/hhh/TSy5j/Mirrq4urT72Hh4eFv9zUqlU\n",
       "OTk5oaGhs2fPXr9+vUwm2759e15e3gMPPCASiSB3vnPj8/nk9RxDEARBpg3y9vYODAy0V4ItjUaT\n",
       "n58fEBDQ1NT08ssvBwUFvf32215eXgRBTJ06FSF08hh6vk5iUiaDjo4OFosFqRwtQs+HSG2zo5c4\n",
       "yfheHMHBwdbOn3vw4MHMzMy0tLSDBw9+++23Cxcu/Pzzz6dNm/bRRx/pTvMOnI/5Q70tq729/cKF\n",
       "C/fcc094eDiNfPkW1NXVdeHChUGDBgUHB0+ZMuXEiRMIodbW1tWrV2s0Grc+qKML1bWiuro648ts\n",
       "aWlRKBRDhw6FSWAtQv+chNQDGl/4m3RY270Xx7lz59Rq9fjx4/v27fvRRx/t3bvXx8fn559/fu21\n",
       "1/z8/Hbu3AkZQXsPu0dkLe7u7jTS21tcZ2fnhQsXwsPDAwMDCYLA0RkhdP78eYRQnzpFySfx4cK8\n",
       "mTNnvvPOO0aWefny5cbGxsjISIjOlmKVftDIfr04NBrNE0884eHhERoa+vbbb//4449tbW27d+/e\n",
       "tGnT9OnTn3rqKZzqyGb1AYCB2tra8vPz2Wy2r6+v1ktdXV2ooxn9+mzY4l3Ea6bNpghDui1OT4C2\n",
       "SMd+e/XiOHToUHh4+Jo1axBCCxYsePrppy9fvrxjx459+/ZVVVU99dRTGRkZNqsMYALzb3obr7Cw\n",
       "UGuiuKKiovvuu896e6Shra2toKCAw+GQg62ot8c5HA469zkatQT5mhad29vbYdCgxelv4nDc/LkV\n",
       "FRVxcXGdnZ3ffPPNN998U1NTc+7cuU8++WT+/Pm+vr5fffVV//79bVMTwBDm3/Q2Xmxs7KFDh6hL\n",
       "XnjhBUbNSdjS0lJUVBQdHY1bIaqrq7OzswMCAk6cOLF69eqAgIDly5cjWvdmFApFdHQ0xGjL6uEm\n",
       "IT12zJ87bty4Rx555Msvv3zsscceeeSRpqamgICADz/80DZ7B4DJmpqaLl26NHz4cDxevL29feHC\n",
       "hTk5OQihDz74YP/+/aijERF0fk7wjUSIzhanf0J4FoWNK0Rba2urWCwWCAQTJ05ksVg//PDD1atX\n",
       "3377bXvXC9iZTCYjD+bePENQXV2dQqHgcrk4OpeXlyckJODojBA6e/YsIjRo7yOoVkWj8MuXLzNn\n",
       "wLAzsUoTh421tLRkZWX99NNPTz/9dE5ODvyMAyqYIQghVFNTU15ePmLECLJ78i+//PLXX3+RKzzx\n",
       "xBPozw9R+BQUPIZG+fHx8Q50MudA9JxB4479tq8KDc3NzWvWrJk5c6afn19OTg6fz4foDLQwJ9OA\n",
       "vdy8ebOiooIanRFCw4cPJx8XFBQsnJeEqovQvW+aWnhbWxuCCVOsRk+AzsrK4nA4DG/iqK+vX758\n",
       "+YQJE7Zu3erm5nbx4kU4SwJ64fzmDD+erefatWtVVVVcLhfnLm9sbFy4cCGLxfrqq6/Idfz9/ZGb\n",
       "F0r+AbH0t3nq1djYmJ+fX1paavlKgzv0fB8Mn/Kqrq5u+fLlSUlJgYGBPj4+hw8fzsnJCQsLW7Fi\n",
       "hb2rBpiI4cezVeFJJ2JjY8nU+9u2bcPTaUqlUnK1OsURU0uur6+/cuVKVFQUpKyzKhN+MO1OrVYv\n",
       "X748OTk5Li7uxIkT4eHh8+fPx5k0XnrppZMnT9q7goBZcONGr23iKC8vb2pqiomJoV43UMf4jRo1\n",
       "CiH0CX9cdNdZUwv38fEZPny4l5eXRaoKunNXgCYPZd0H9lVTU/POO++kpKSMHTv2xIkTqampLi4u\n",
       "QUFBJSUleIXr16/bN60BYCAul8tisXpnE0dJSUlbW9uwYcO03nJaWto777wzc+bMb7755syZM3Wl\n",
       "f74+w5s15SOTCodM/DbD9DPoGzduCIXChx9+ODEx8dixY3PnziUv1iZOnFhbW/v6669/9tlnqamp\n",
       "7733nn2rCphGIpEQBJGQkNCrmjhwcmdXV1e9/d5cXFxWrVp16NChZ555xtXV1af+HJrxGXJxM778\n",
       "rq6uwsJCy9UXGMLclIDXrl1bvXr1hQsX3n33XbFYrLsC7ux88uTJW7du7dq1C1LTAb0YMhmmbRAE\n",
       "cfHiRS8vL73pmPPy8v73v//5+fmtXr06ODgYIYTiTR6V1tXVBX2lbMYqAZqa/QAzKQdCc3OzUCjM\n",
       "z89ftmyZ3tBMdf/999OsJQDORaPRFBYW+vr6djflxZIlS/DPVVdX15Z1byC3fuieobatIzDNXQEa\n",
       "t9bhx+a01pHpRvFTlUpFTc3RoxMnTnz55Zcikaj3tBgCYKbOzs78/PyQkBADE1CQFxNdTTfR4SVo\n",
       "/j4aO3Jzc4PZUmzmrjZoQh965VInsGCz2SYl/p89e/a8efMgOgNgpI6Ojry8vPDwcMPTA/30008I\n",
       "oYSEiV/ObURT1iJPPwMrd4fFYkG6Z5uxyk3C3Nxc6lhElUqVm5trjR0B0COxWIyTtLBYrB5bzBxR\n",
       "W1tbXl5eVFQUdQrw69evHzx4UK1WU9dMS0sjCOLUsQO+415AIXQmS0IIVVdXd3Z2mlVjYDSrtEHL\n",
       "ZDKtO8jdJalpb2+vqKigLmloaPD09LRGrUDvlJ6eThAETjTKYrG08jUbw/gp3GzgzJkznZ2dEydO\n",
       "xE9bWloKCwujo6NxHt3S0tLTp08PHjyYvGatra295567J311749in6K39/Ly8oaGBq15RIH1WCVA\n",
       "G5+epqSk5NNPP9VaMn78eGvUCvRaKpWK3uyamN2ncKPW5P/+7/8QQsuWLVu5cmVTU1NRUVFsbCwe\n",
       "MFJSUjJ0qPZNvzNnzjzwwAO3n3S1ofxv0MiX6O29tLSUIIi4uDj6bwCYyLq9OHo84xg2bJhEIqEu\n",
       "yc7OZlSCc+Do+Hw+h8ORyWQCgUAkEtErxF5TuGkhZwNYtWrVu+++i9OHklecehsSR44c+e+To0IU\n",
       "OdvUneKTLRaLFRYW5uZmQo9pYD6rtEHjMw6CIKRSqVwut8YuADASHq7C4/EkEgmN9g2MvKcikUgW\n",
       "L15sudqZZsyY27lAly1bplQqqdEZIUS9Svjzzz83b95cWVn5723D4j2oqw2xU0zaY1dXV15eXmNj\n",
       "I0IIorPtWWugCkPOOADA13N4nqCUlBQaDRTGT+HW3t5+4cIF6pJbt27pTsxK27p166ZOneri4hIW\n",
       "FsblcrUiZlRUVElJydmzZxMSEkJDQ8eNG3fXxh5+aPp6k3bX1tZWWFg4dOhQmCjOXqwVoC01aWxW\n",
       "Vta3337r5uYWExPz2WefeXh4WK6OoFdISkpSKpVr166VSCT05iQ0fgq3srKyHTt2UJdUV1drDRsp\n",
       "Ly+vra29q+XBaC4uLpMmTSovL4+Li9N7PhsZGRkZGal/47BJpu6usbFx6NCh5NyywPasEqAtNWns\n",
       "2bNnjxw58ttvv/Xp02fjxo3r1q179913LVpTAHpm/D0VDoezevVq6hKteyo7d+5cuHAhQuill176\n",
       "8ssvTa3JzZs3KysrR4wYgZM7G+vCJhQyEQWYfHOP2m8P2IVV2qAtNWnsH3/88fDDD+Nj8bHHHoOE\n",
       "ooAG3OkzKyuL9pyEFryn8sMPP+AHGzZsMPWPoqKioqqqyuTofPUUKpWjgFiT9gUYgtHZ7CIjI8lp\n",
       "086cORMVFWXf+gBHhDt9YrR7yJHtdVKp1JwJ4ci7fA888IBJY2XLy8sbGxupqfeN0tGEjr+BZnyO\n",
       "EIzLdUjMzWaHEEpKSsKXhAMGDMjLy8MzQQBgJL0RkN7FnKXuqbz77rvR0dE3b958/PHHjd+quLiY\n",
       "IAg6c5e4uKHZ2ch7kMkbAmZgdIBmsVjffPNNaWlpU1PT8OHDTbuyA72epbI/W+qeCkKIxWKlpqYa\n",
       "vz5BEEql0tPTk2Z+oj7uyD+GzoaAGZgYoI8fP97R0aG1ULcTvkaj+fXXX83pANTY2Ojh4WFO786a\n",
       "mhp/f3/am7e3t7e3t5uTegYP5KWdWIogCLVabc7I3cbGRnd3d3MSBOfl5ZEX/paFb+VpfThW7cWh\n",
       "l97jWa/q6uqzZ8+S80i5uLjcf//9tbW1Wl33jBHk3vhA4KUfKsfip+Z/Td1Rq9W+vr7WSG1m5h+X\n",
       "7UvWaDQ+Pj43btyw4PHMuADN4/GMnOhMrVZfvHhRK/G0SUpKSgYNGhQSEkK7hOPHj+Ob8vRcvny5\n",
       "urq6235RRvjjjz9mzZpFu/dhS0vLmTNnkpOTaVegtLR04MCB5syWUF9fP2XKFNqbG4A7Wth3FhXj\n",
       "j2eEkEKhqKqquu+++/BTLpfb3Nx8/fp1Uz9eFiKeCfh9X939QUG3w1B5ebmfn19oaKhJ5Rjjn3/+\n",
       "mTBhgjW64pn5x2X7ktVq9blz59544w1LHs96U4w6hOvXrz/yyCPmlLBixYrDhw+bU8LUqVPN2Vwm\n",
       "k61evdqcEubPn19TU0N786qqqtTUVHMqkJmZefDgQXNKMPMz7BF1yiut6a+YRi6Xr1q1yholr127\n",
       "du/evdYo+emnn8Y5OizOegeGlUpWKBQvvPCCZctkdC8OAMyBU4xSJ421d40AMA0EaOC0dCeN7VXz\n",
       "EwInAAEaODkIysBxQYAGTg43dEArB3BEdHLHMARBEHg6WtolXL169Z577vH29qZdgkKhiI6Opr15\n",
       "Q0NDY2PjoEH0xxGYWQHzP8PKykofHx9zegqa+RZ6RC9Bkl2Yfzx059q1a97e3tboa6FSqaKiokwb\n",
       "32gc6x0YViq5s7OzrKxMd84EczjMsQsAPXacngoAM0GABk7O/IEqANgLBGgAAGAouEkIAAAMBQEa\n",
       "ODnoxQEcFwRo4OSysrLI4Sp4ZkIAHAUEaNCL5Ofn27sKAJgAAjRwciKRSCAQpKWlsVgsLpdr7+oA\n",
       "YArL5l6ytoSEBFxtrbRkxr8R3RK6K9PIzcmrZplMZs5bEIlEIpGIXgnUK3c8e55Jm4tEIryEz+fT\n",
       "qAC5OdbjuzBQ/x4r73ys92mYeaibVDJm/DFsfMmmHpxGFmupD1n3z9+yB7MjnUHL5XIul4vrzeVy\n",
       "8fSdcrnc+Ds/uiXoLdOkzdGd3wZjMlN3tzu5XJ6enk7vLSCE8vPzyaMBz8xk0lsoLCzES/AKplZA\n",
       "KBRSj1ehUGhqBfLz8wmCkMlkixcvNuZDcBrW+zTMPNRNKplcbuQxbFKdTTo4jS/WUh8yuvvP3+IH\n",
       "M+MS9hvA4/HIST9jY2/PUqxQKAiCMHKaON0S9JZJb3Pab0GlUmVmZspkMoVCQa8EhBAers3n8yUS\n",
       "iUmb453iHzk+n9/j2zHwiQkEgrfeesvUzakDza3RBMHkgSp6v460tDT8kjmTUZh5qJtUMjLxGDa+\n",
       "ZFMPTiOLtdQhp/vnb6mvj+RIZ9Ak/LuKPxrD52vGlNDdEuM3xx25tK70jS+Bw+HQGItMliCXy3Nz\n",
       "c/HPeGxsrJFnGeTmhYWF6M5ZgPGbI50PAW9o+Pxd7+ZsNjsjI4PFYmVmZhr+daGHesHI2F4c1A+T\n",
       "TBNBXphbquTulphfMr1juMeSaR+chou17CGn9edv2a/Pkc6gMYFAgBAy52PVLcGkMnVXlkgkEolE\n",
       "LBaLxWJjfjCoJYjFYnT3WZ6pJfB4PPKsMDo6WqFQ9Pi3R908NjaWPKSM3Bzp+xCkUmmPp896NxeL\n",
       "xfgyVqVSWTuxUVZWljV+A8yk9WGSX4HuPJxmlqx3ifkl0zuGjSmZ3sFpTIUteMhR//yRRb8+hBzw\n",
       "JqHee3HG3/TQLaG7Mo3ZXCaTkXdFjLxD0t3uqEWZU4ce34vu5uTtF2M21y2BXGhM5XU3p35u1jgg\n",
       "qUe7OTearET368CfJPnAUiXrXWKpkjHjj2EjS6ZxcBpTrKUOOd0/fwt+fberZ34RNqN1fUo9FIz8\n",
       "LHRLMFCmkRUgFxrzx29gd0Ye3Ibr0GMJejcnr85oV0CpVBoZ+/RuTl4MWiR8OBDD36Y53QDMPNRN\n",
       "rTNmZoA2/+A0vlhLHXK6f/6W7cUByZIAAIChHPImIQBGoibikMvlYrHYzBtNANgSBGjgtPB9IfJq\n",
       "USqVWqT3AgA2A00cwGlp3aBPTEzE/RHtWCUATAIBGjgt3R5UDjQ/IQAImjiAE+Pz+biVAxMIBIwd\n",
       "qAKAXhCggdOSSCSxsbHkTcLY2FgGjlIBwAC44gMAAIaCM2gAAGAoCNAAAMBQEKABAIChIEADAABD\n",
       "QYAGAACGggANAAAMBQEaAAAYCgI0AAAwFARo/fBcOHgOGwxPH65SqQxvKBAIultH7+zjLApzKozu\n",
       "zDxE3ZH5ZTquxMRE/KkamFBYdx1qQQ4EtgAAIABJREFUelKt79HASz3uVO8XQa9AA++LXoHkVlqJ\n",
       "WMViMfXgpP4t2LiGmO5naH4NtTahXSC5ue4mxhyHGI45VHK5HAJ0txISErZv304+lUqlFpkFkorF\n",
       "YpHTLohEIr1/xsYjawujQ+VyOZfLxR8sl8vVmwNa7zr5+fnkN6I1Aa6BlwwUiH/X9VaSRoGG3xe9\n",
       "AtGdjKxas1ALhUIyUyufz9c7zaANamjgM6RXQ7FYTC4pLCyk1pBegeTy9PR0I1fujtbMUDweDwK0\n",
       "IWlpafgzValU1JnqyRMBMhcPuUR3ne5+h+VyuUgkIg9ToVDI5/PlcrlKpaIWi080tPaoUqm0fpkF\n",
       "AkFubi5+Vfdo1qoMPuJ1T5qcBo/HI9NuUL84Y9bhcDjUb5bKwEvdFahQKAjKBEtmFtjj+zKnwO4I\n",
       "BILupgO2QQ1RT5+hqTXUqphCoTC/QJVKlZmZKZPJjFnZJBCgDUlOTpZKpQih/fv3Jycn44XUkw78\n",
       "lLokKytL7zq6hSsUCnLGYiw2Nlbv4YJjNC4tPz+fvDYky1epVBKJJCEhQe8fm25lpFIpPpHhcDi0\n",
       "PhiHIZfLe0zST64jl8txwmiCIGJjY6nfmoGXDO+0u/mtaRdoYAntAvHvNzn7n9aaCCG9Z7s2q6Hh\n",
       "OcJNraFQKNy+fbvW6ZQ5BSKEOBzOqVOnjFzZgNzcXGoTB4IAbRibzc7Pz0cIFRYWkl+YQqFISUnB\n",
       "j1NSUhQKBXUJTmipUCiysrLwp5yenq437OJp5HUX6q0GmZWNnMudy+VqPeiObmXeeustfCKzf/9+\n",
       "Iz4GRyUQCKRSqeEzROo6PB6PuNM6pPXtGHiJxk7NLFDvLswpUCKR4G11r/akUml355K2rKEBNGp4\n",
       "6tQp8nfC/ALxh8ZisZKSktLT03U/Q+PfjlYTB4IA3aO0tDSxWEz9IqOjo/FpNUJIKpVGR0dTl+CA\n",
       "Hh0dTZ2EWO8pAI/HS09Pxz/XuLWB/I3FhSCE8Pk4/spxUTTawXUrw2azCYJQKpXURnYnk5iYmJKS\n",
       "YvivQmsd3ECJH2td3xh4ydSdmllgd7ugVyB1K73y8/MNn0tau4Y9MrWGcrmcbGBJT08nr4xpF0i2\n",
       "XONJzbX+2E19O9oIoI9SqcS/ZkqlEt2ZQT0hIQE/MDDXuu466M7U7no/ba2vAxdIRmE+n69UKnEd\n",
       "yCUymUypVFJ3jfeI7vwCI0qDhlb1cGXIp2bOOc9A+BPQSsyPf5+0Tk/0rkMuJH/SyK0MvGSgQN01\n",
       "zSnQ8PuiV0Pdg5ncinqY2bGGBj5DGjWkLiSPfzMLxHCApm5lzHFIov6Zk+tDgAa9RXd/GFAgFMjY\n",
       "AiFhPwAAMBS0QQMAAENBgAYAAIaCAA0AAAwFARoAABgKAjQAADAUBGgAAGAoCNAAAMBQEKABAICh\n",
       "IEADAABDQYAGAACGggANAAAMBQEaAAAYCgI0AAAwFARoAABgKAjQAADAUBCgAQCAoSBAAwAAQ0GA\n",
       "BgAAhoIADQAADAUBGgAAGAoCNAAAMBQEaAAAYCgI0AAAwFAQoAEAgKEgQAMAAENBgAYAAIaCAA0A\n",
       "AAwFARoAABgKAjQAADAUBGgAAGAoCNAAAMBQEKABAIChIEADAABDQYAGAACGggANAAAMBQEaAAAY\n",
       "CgI0AAAwFARoAABgKAjQAADAUBCgAQCAoSBAAwAAQ0GABgAAhoIADQAADAUBGgAAGAoCNAAAMBQE\n",
       "aAAAYCgI0AAAwFAQoAEAgKEgQAMAAENBgAYAAIaCAA0AAAwFARoAABgKAjQAADAUBGgAAGAoCNAA\n",
       "AMBQEKABAIChIEADAABDQYAGAACGggANAAAMBQEaAAAYCgI0AAAwFARoAABgKFd7V0BbRUXF1q1b\n",
       "7V0LYDsuLi7PPvtsQECAvStiFXA89zaWPZ4ZF6CPHDly69atBx980N4VATaybdu2s2fPOus3Dsdz\n",
       "b2PZ45lxARohFBsbO3PmTHvXAtjImTNn7F0F64LjuVex7PEMbdAAAMBQEKDtoLW1taWlxd61AACY\n",
       "69atW+3t7dYrHwK0TZ09e3bWrFkPPfTQnDlz5s6d+/fff9u7RgAAmjo6OvLz82tra623C6u0Qcvl\n",
       "8qSkJOoSmUzG4/GssS8HIhKJjhw5snnz5tDQUIRQWVkZn89fvHjxokWL7F01AIDJ3NzcEhIS3Nzc\n",
       "rLcLqwTozMxMpVLJZrPxU5VKxeFwCIKwxr4cxRdffFFUVCSVSvv06YOXRERE7NmzJy0tLSAgAO7y\n",
       "A8BwGo3m+vXrGo0mLCyMXOju7m7VnVqriYOMzvhxQkKClXbkEA4cOJCTk7NhwwYyOmMeHh7ff/99\n",
       "ZmZmVVWVveoGeiSXy1ksFovFksvleEliYqJ9qwRsSaPRXL169c8//7x06VJDQ4Mtd22VAJ2bm6tS\n",
       "qcinKpUqNzfXGjtyCJ98Uv/kky1eXlt/+cVF93ZC//79V65c+frrr9umMiqVinU3MugYj8Vi9bjE\n",
       "+G2ZD18REgQhlUppfFzAcXV1dZWXl+fm5ioUCm9v7zFjxgwfPtyWFbBKgJbJZBwOhwwBHA5HJpNZ\n",
       "Y0fM19yM1q1TzZhxb1CQ+zvvoEmTUGur9jqTJk0iCOL333+3TZUSEhIIChr3BnRbq5y+/QpfEUok\n",
       "EqlUSj35AM4tLy+vuLjY29t71KhR8fHxvr6+Nq6AVQI0j8cj7tZr7xD+9tuBhx7a+OOPYR9/jIqK\n",
       "0GuvIVd9zf4rV6784IMPbF6721QqlUAgwL+mYrEYP8ZX8dSXBAIBXh+fBYvF4sTERPyYPC8Wi8V4\n",
       "Zby57rYOigzKEolk8eLF9q0MsJmwsLDRo0ePHj3az8/PLhWwbi8OsvNGYmLiqVOnrLEvZmpvR7W1\n",
       "KCCg8/3339+/fz9e6OaGHn9c//pDhgwJDQ3Nzc3Vaqz/+uuvlUqlqXsfNmzY008/3d2rubm51HYG\n",
       "fPKblZWFH7BYLJlMJpFIBAKBXC7ncDjkS3gJ9beWy+VSv1aVSrV9+3a8slgsfvXVV8nyExMTVSoV\n",
       "9c6EA8nOzqbe5cZPu1tZq9NVU1NT3759rVs/YCEEQTQ1NfXr149cEhQUZMf6IGv34sDnTb3w9Pnp\n",
       "p1H//ujeezenpqbq/e0tKUEREYh6y/CNN97IyMjQCtBjxoyJiIgwde+Gj6qEhATdH0s+n0++qvV9\n",
       "kS+lpKQoFArqq7GxsdQ1lUplWloafiwUCtGdE2pT6880bDab2oaj9ZSqoKDg/fffpy75559/Ro0a\n",
       "9cwzz1i3isA8BEHcvHmztLS0paUlMTHRqj3nTGKtXBxkm51AIDBwuuGU9u5FBw+if/7pSEv75ujR\n",
       "o3rXSUlBTz6J3nrr3yXDhg3r6OgoLy8fPHgwuXD06NHWrm2PsrKyJBIJQkgqlaakpBhYk8PhZGZm\n",
       "4tCMr6JEIhF5Bm2b2loDfi8JCQlcLjcrKwshRO1FShUXF7d9+3bqkhdeeEGj0dioooAWHJqbmpq8\n",
       "vb25XC5zojOyXoAmr2clEomBP86ysrINGzZQl5w+ffq+++6zUq1sQKNB776L/u//0K+/fvvII490\n",
       "d3m7YQOaNQvNn4+of+YvvPDCxo0brd0YrdXEIRKJkpOTDazP5/Px+nw+3/DFEJvNTktLIwtXKpUc\n",
       "Dic9PR1v211QY77MzEyCIMRiMdmA09ua7JxVU1NTUVFRQ0ODl5dXXFxcUFAQ0y74rBKgjW+zu+ee\n",
       "e7QSfeXl5V29etUatbKNn35CajV64QXN9OlfHzlypLvVEhPRww+jZcvQjh3/LuTxeCtXrnz//fdd\n",
       "XKzYP13v5Tk+R0YIkXEHL8E3x7Q2wU/xmTJ1CV6od7mBJY4iOjqabMABzqGmpqarq2v48OHBwcFM\n",
       "C82YVQK08W12vr6+WgH6p59+cuhLwgED0IYN6ODBPTNmzPD29jaw5sqVaNgw9OefaPz420v69Okz\n",
       "derUnJyc6dOn26KuwGgqlYrH4/XCuynOLTw8PDw83N61MMRGyZIcugnSJDNmoDlz0MaNG1955RXD\n",
       "a4aFoW+/Rffcc9fCRYsWfffdd1asn4nYbDZ5ct1raV0Cslis7OxsO9YH0NPQ0FBQUGDV3EYWZ6OE\n",
       "/b2qwU6hUPj4+AwaNKjHNRcu1F7C5XKLi4vb29utPcYfGE/rEtBxW2l6rebm5tLS0ps3b7q6ujL8\n",
       "lFkLE2dUcVAtLaiuDg0ceLvvCu1ypk+ffvjwYa10gAAAGlpbWy9fvnz9+nUXF5fBgwcPHjzYVe9Q\n",
       "MaayShMHmVzGnIQPDiczE2Vmoo6Ojt9//33KlCnGb5iXh8rK/n26cOHCn3/+2fL1QwjdycUhFovJ\n",
       "JfjL6nH4skAg6G4dY+6uGNgcACtpa2s7ffr0jRs3QkNDJ0yYEBUV5VjRGVkpQJPJZTClUun054ME\n",
       "gbZuRTwe2r9/P4/HM+mO8LZt6O23/33K5XKLioq6urosX0uEEEIJCQnUvrpSqbSX5xoEzsrNzW3I\n",
       "kCHjx4/ncDgO2mYI6UYtIycHtbaiBx9EW7duffLJJ03als9HUikqKfl3yYQJE/78808LV5EiLS0N\n",
       "X9OoVCrqaEDd1BnkEt11qKfh3b2kuzkA1kMQBLUPGG7W8PT0tGOVzATpRi1j2za0cCFqaqqrr68f\n",
       "MmSISdsOGYJmz0bUvhLJyckymYwg0JNPogce+PefVHp7BQMvGSM5OVkqlSKE9u/fT45SwSEbX/Tg\n",
       "p9QleASd7jpkmcZsDoD1VFdXnzlz5uzZs/auiCVZpUUGpxvVWmKNHTHH2bNowwYklUrnzp1LY/NX\n",
       "X0WLFqH330f4x37y5MmZmZksFpo7F6nV/642bNjtBwZeMgabzc7Pz0cIFRYWkuNKFAoFOZIbp93A\n",
       "D/ASnJFDoVBkZWWR0VYkEpFdg3Vf0t0cAGuor68vLi5Wq9V9+/Z1ssQSVgnQON2oNUpmrL/+Qgih\n",
       "FSt2bNq0icbmM2agmTNRe/vtAO3u7u7r61tVVZWWNqC7Tcwc1JaWliYWi6ntG9HR0VKpFAdcMu0G\n",
       "uQQH9OjoaJFIRB0rSN1c6yW5XK61OQCW1draWlxcXFVV5ebmxuFwQkNDnaw9DWb1thi1Wt3W1jZw\n",
       "4EAa27JY6IcfkI/Pv0umT59+7Ngxi1VOR3Jycnp6OjULB46kZJMxOXCO2ojM4/EKCwv1ds7RfUl3\n",
       "cwAsS6lUVldXDxkyZOLEiWFhYc53pLGYdqqLs399/fXX9q6Iyb7//vvq6mq9Z5c0FBYWfvrppxs3\n",
       "brRIaUy2atWqMWPGOOu0uY57PDuEjo4OgiAY1UPDsscznEGbKy8PffghQgjt2bPHcDZOYzQ3334Q\n",
       "GxtbWFhoZmkAOBm1Wk3tp+Hm5sao6GxxEKDNlZ2NiotRa2trZWUljeT6VFevoqFDETmxbGRk5OXL\n",
       "l82vIQBOQK1W//XXX//8849jJdMwEwRoc+3bh5KT0W+//TZt2jQziwoJQX37or17bz+dPn368ePH\n",
       "za1fL8bSh0Y5vXNkLHM0Nzfn5eX9888/7e3tcXFxAQEB9q6R7UCANotKhUpL0QMPIJlMNmfOHDNL\n",
       "Y7HQ4sXo229vP508eXJOTo6ZZfZmhD40yumFI2MZgiCI4uLiM2fO1NXVRUVFjR8/fsCAbvs1OSUI\n",
       "0GaRydD99yMfH3TmzBmLTATz7LPo4EFUWYkQQmw2G3dGBnbX20bGMkRzc3NFRcWgQYMmTJgQERFh\n",
       "vYksTFVSUvLll18+9NBD06ZNa2trs96OHCx1CNPExSEOB6lUqqioKIscPeHhaMoUlJODFi1CCKHQ\n",
       "0NCrV6+GhoaaX3KvhWcUxCNlUlJSaCTdxyNjyRjdG0bGMoS3t/fkyZMZ0nmurq7u4MGDe/fuLSws\n",
       "HDt27Jw5c3744QfqFODWAAHaLDNmIITQ55//Onv2bEuVuWMH8vC4/fj+++/Pzc1NTU21VOG9UFJS\n",
       "klKpXLt2rUQiYbHo9Cs1fmSsSqVau3YtdcnJkye15j4HBjQ1NbW1tfn7+5NL7BudCYL4+++/Dx8+\n",
       "fODAAQ8Pj6lTpy5dujQuLs5mFYAAbQGHDx/+6quvLFWar++/jxMSEr777jsI0PZl/MjYkJAQrUHt\n",
       "VVVV1j7JYpqqqqr9+/f369dv3rx5xveB6+joKC0trays9Pb2pgZou+jq6jp58uTevXtPnToVERHB\n",
       "4/F+/PHH4OBg29cEAjR9LS3I0xN1dLTX1NTQG0DYo5EjR/7nP/+xRsm9B3n+m5WVRS8nDG4kSUhI\n",
       "4HK5ONlIdzOUe3l5jR07lrokMDDQoefYNJVCoVi0aNHjjz9eVlb2+eefHzhwoMdkchqNpqys7MqV\n",
       "KwRBREREDB482DZV1XXjxo3du3fv27dPrVZPnz79mWee+fjjj+1VGQwCNH2JiWjDBtTe/ueECRMs\n",
       "Xvh//oPWrr3dD7+pqcnw/LPAAPMzw2RmZhIEIRaLt2/fjotKTEzsVbO4GW/dunVZWVljxoxBCPn6\n",
       "+v7yyy+L8O2UbtTX1xcVFTU3NwcEBLDZbC8vL1vV9F9FRUV79uw5cOCAj49PUlLS+vXrTU1IaT0Q\n",
       "oGmqrETnz6OoKPT554e1JiY3X1cX+vFH9OCD6MEH0bhx4/7+++9JkyZZdhe9B4vF6u6E1yTR0dFp\n",
       "Zmao6gVu3bpFTvoXHh5+9epVw+tXVVW5uLiMHDnSxs0anZ2dOTk5e/fuPXnyZFxc3Ny5c3fu3Onn\n",
       "52fLOhjDzgGamu4SKyoqskh/NWs7eBCNHo2CgtDJkyeXLl1q2cL79EFPPIG+/RY9+CCaMGHC77//\n",
       "DgGaNoIgEhMTc3Nz+Xw+7RnKVSoVmT0KGDBnzpzMzMy1a9eq1WqJRLJ+/XrD65v/w2kSgiD+/PPP\n",
       "n3/++fjx46NGjZo7d+6qVavsctpuJDsH6NjY2EOHDlGX4OQy9qqP8Y4eRTNmoMbGxj59+ljjC37s\n",
       "MTR5MmpsROPGjdu8ebPFy+9VcHMEHhBIo7kjOzubw+GQG+JTcgtX0Vk888wzn/1/e2ce18S1PfAT\n",
       "VtldgAIugBD2KiK4gAtL9UFx4bWKbW1/WmtJyxNBrUsVW1utdaMFFS087ZMWW8GltAqxKigqiCio\n",
       "CEFCAAUFBdmFEALJ749pp2MIMXsm4X7/4ENuZu49mZycuXPuueccOBASEqKnp7dx40ZXV1fiu3w+\n",
       "v7Gx0czMTMlVTjC7nJ6efu3aNW9v70WLFu3evVtbW1uZMkgHcnFIyY0bkJgI169fnzFjhiL69/IC\n",
       "W1v4/XdYutTq2bNnihhi6ECj0ZKTkyMiIqRzRjs6OhJPJFsCSLIRFRUVFRU1sL2jo4PJZHZ2djo7\n",
       "O9vY2ChHmLt37544cSI3N9fLy2vRokV79+5VC7uMI8RAUyiUrKws9DQnmrQ08PSEjRuzZc9gNxg7\n",
       "dwKWdQDz5aHtKtKB6bPUzg2E7PT09DCZzObmZiMjI09PTyW4elks1vHjx3Nzc93d3RctWrRz507y\n",
       "7EKUCCEGms/n02g0LK4ILVUPhpcXAEBhYeE3WLJRBbBw4V//TJky5datW8hASwea8KqW+vr6qqoq\n",
       "Ho9nZ2en6O3aTU1NaWlp586dGz169NKlS7du3aqmdhlHuPRJSUl8Pj8lJQXl7hJBe3u7oaGhEtLR\n",
       "ent7K7TIt2aDuZ5pNBqNRkOarGSwbEfDhw+fMmWKvb29gsxlc3NzQkJCcHDw+vXrXVxcMjMzjx49\n",
       "GhgYqO7WGQbzQWM+O19fXzzqE3k8iFy9CrNmwbVr15QQXNHUBF5eXjt37lT0QJqK7Fu9EVJDoVD8\n",
       "/PwUZCh7e3t///33X3/9VVtbOzw8/LfffjMwMFDEQCpkUB800WeHHB1E7t//q6L2lStX3nrrLYWO\n",
       "xeeDiwsUFJi8ePGCz+eTJGsMAjEYfD6/ra1t+PDhuK4qwjoXFxenpqbevXs3MDAwLi7O3t5e7kOQ\n",
       "BCHXztfXF58v+/n5KVceNSA7G6ZNAwoFbt++reiQbQoF/Pzgl1/A0dGxqqpKoWNpKthW7+TkZGzm\n",
       "oWpxNJnW1tbCwsJ79+4pKAPn06dP4+LiZs+enZKSsnTp0pycnNjYWA22ziAwg8Y8G0DIIIXy3g7k\n",
       "yhWYPRs6OjqGDRumq6ur6OHefx+++AL+8x/v4uJiJUf1awayb/VGvJKenh4Wi9XU1GRoaDhx4kT5\n",
       "hjlzudyzZ88eO3ast7d3+fLlFy5c0MfzPWo6L82gsbVBzPWMgZwbAvB4cPUq+PtDXl6ech4v5s+H\n",
       "p0/B2Hj27du3lTCcZoOeCOUOn89/9OhRYWFhS0uLg4PDlClT5BhFV1FRsWHDhjlz5tTU1Bw8ePD8\n",
       "+fPvvPPO0LHOIDCDxlLA5OfnE32daPZBpLUVtLTA2xu2br0ie40rcTAwgPBwaGx0uXv3rhKGQyAk\n",
       "orW1tbq6+rXXXnNwcJCX6ezp6UlPT//111+tra0/+uijPXv2yKVbdeQlA43Nl5FFFsGoUfD8OQBA\n",
       "YWHh119/rZxBExMBQC8zswetEyLIxogRI6ZPny4vn0Z1dXVSUtLNmzfDw8PT0tJMTU3l0q36ovZx\n",
       "giqhs7NTT09PaY9aurqgq4vWCVUGHkmdkJCA7QxgsViqFkpl8Hi83t5e/CWFQpHdOnO53JMnT86d\n",
       "O3f37t3h4eFXrlyJjIxE1hmEhtklJCQAAIPBSE5Ojo+PF8g2hwCAgoICReSAFo2np+fdu3fROqH4\n",
       "yOtpA88HzWAwhlo+aAaDkZeX5+DgEBgYCADNzc0VFRU6OjpTpkyRS/91dXWJiYnXrl0LDw9PT08f\n",
       "Pny4XLrVGIQY6JiYGOxRGvuLDDTOkyfw++8QGQlXr1719/dX8ugFBW/b2BxZtGiRksdVX+TrrHNy\n",
       "cpJjb2pBenr6kSNHFi5ciHmEY2JiGhsbjYyMXFxcZOyZz+dnZ2cfPXpUW1t7+fLl6psrQ9EI30nI\n",
       "YrFkCbDDSgQRWzQj+9KpU5CVBZGRcOPGjc8//1zJo5eWWpeWmr36OIRiYDKZDAZD1VIolYMHD2Ix\n",
       "bXV1dR988AGDwZg+ffro0aNleTTp6+tLS0v73//+5+LisnXrVlRRVzRCDHRERASVSs3KyqLRaPHx\n",
       "8VJ0umPHDmINCxaLRUynq77k5EBAAPT09PB4POUn+V6xQmvbtkAlD4oAgNjYWAqFEhER4ebmhtkm\n",
       "EfmgW1tbiS85HI4SguUVx7Bhwx4+fFhTU2NjYzNmzJgxY8ZI3VV3d/fRo0dPnDjx73//+8yZM8jF\n",
       "LA5CDHRSUhK2z1uWOS/RVero6KgBG154PLh+HTZsUI0DGgCWLIF169xv3nw2daoKqgsPZYhbXUR7\n",
       "/BgMxrZt24gtt2/fnjhxouJkUyiurq7Hjh0LDw+vra2tra319vaWrp8nT57s2bOntLQ0Jibm2rVr\n",
       "yJshPkKuFI1GoxCQotP8/HziMjeLxcrPz5deRnJQUgI9PeDjA7m5ucp3QAOAtTVQqQ8PHmxX/tBD\n",
       "HCyKg5jWcbANL25ubukvExQUpORqe3IkLi7u/v378+fPT0xMPHbsmBSPAg8ePFi2bFl0dPTixYuz\n",
       "s7Pnz5+PrLNECJlBJycny+iOwAvdE1tk6ZAM6OrCf/4DenpQUFDw2WefqUSGqKjnRUVMgCG3WiUL\n",
       "eAIDDCl0G3fZ0Wg0kO3JkvxwOBwWi2VsbGxra2tsbBwXFyddPwUFBbt37zYzM4uJiZk0aZJ8hVQt\n",
       "XC63v79fOVW7hBho2d0RGpn9wN0d9uwBDofT19dnZGSkEhneecfx0qVdAB+oZHQ1RfYJB/ztsktK\n",
       "SqLRaAKTD42Bz+c/efKkuroaACwsLKTu5Ny5c/v373dzc4uLixs/frxcZVQ4/f39XC5XX1+f6Dxg\n",
       "sVgdHR1cLpfL5fb19WHq5OLiYm1trWh5hBhotNVbBIWFhfKKAJWCUaNGNTc3q2p0NUUu6x8sFgu3\n",
       "0RqZ0KO9vb2ioqKrq8vKysrBwUGKMhR9fX2//PLLjz/+6O/vf/z4cUtLS0XIKXfq6+vb2to4HE5v\n",
       "by+Hw+nv7wcAKpVKXA7t7+/X0dExMDDQ/Rs9PT0lFO6CwUpeydipUM+1Zhj6K1euKCFJvwhGjRqV\n",
       "l9c6ZcoIdQ4NUCqyTzgEqnpjL+UmHwl48uRJZWWlrq6uu7u7FIa1u7v7v//976lTpxYtWnT27FkT\n",
       "ExNFCCkFfD6/p6eHzWZ3d3d3d3ez2eyenh47O7vXXvtnmb2lpaW7u1tPT8/U1BTbHqynpyewbODs\n",
       "7Kx02f9CIVW9Kysrly1bJs5Wq/7+/kePHhFbOjs7lR/B9kp++QUePoTNm+H69etr165VoSSTJk2K\n",
       "iuJ9+il8/LEKpVAn5OLfIHYi8FID4HA4o0ePtre319GRzCC0tLTs378/Jydn5cqV2dnZSij/JhH3\n",
       "79/Hnzh1dXUNDQ2NjIwEfMceHh6qEE1chHwf2DaTiIgIAAgLC5NiScTR0TE8PJxOp7/yXCaTKRBq\n",
       "fe/ePVdXV0lHVDRpaeDrC2w2W4UOaIxJkybduVP03//ORQZaTIbOtmypkcJTXFtbGxcXx2AwVq9e\n",
       "/cUXX6gkNqOnp6frZaytrYkbPrHJsoGBgaGhoaT3HpIgRGi51HATc4O4q6srsbYWAHz88cc8Hk+K\n",
       "ERUHFgG9aRPk5+dPnz5dtcJ4eXkdO7bt/v25DAagTVjigNZUBtLa2jps2DDpKvixWKy4uLiamprV\n",
       "q1fHx8erKr1iVVVVbW0t9v+wYcOMjIxGjBgh4J8xNTVV9+0wanlXUTL37kFfH/j4wBdfZM+ZM0e1\n",
       "wowePbqpqeLttyE5GaTa5jnkQBaZCJfLZTKZjY2N9vb2dnZ2Ep1bW1u7bdu2lpaWTZs2KWevFofD\n",
       "af8bAwMDd3d3/C1ra2sjIyPMa6Gtra0EYVSCEAONRzEnJyfLK35ZrR8zL1+GWbNARwfy8/O//PJL\n",
       "VYsDpqamy5d3ffedKj0tCHWkvr6+qqqKx+NRqdTRo0eLf2JDQ8O2bdtqa2u3b98u9X5C8eFwOFVV\n",
       "Ve3t7T09PQCgo6NjamoqEDWanpLlAAAgAElEQVRhaGhIwsUquSPEQCsiill9rTMAvPEGzJgBra2t\n",
       "hoaGZCi34+npqa1dmJUVoGpB1AOBZ/ChOaHmcDgVFRXNzc2mpqYuLi7ir6O0tbXt2rXrxo0bW7du\n",
       "feONNxQkHo/HI3qx2Wx2V1fXiBEjzMzMTE1NDQ0Nh2ydCuTieDUTJgAAnDlzOSCAFDbR29u7uLiY\n",
       "JMKQH6JFxrYCDkEqKipaWlrs7OxsbW3FXNBjs9n79+/PyMhYu3btt99+K3cTyeFwWv+mt7d3ypQp\n",
       "+Ix4+PDhPj4+8h1OTRH8qvz8/PAsHFIH5OO5C3DwJAbqy4ULF+bOnatqKQAAJk+eXFxcrGop1BLi\n",
       "nu8hhb29vbe3t729vTjWua+vLzk52d/ff8SIEdeuXVu8eLF8rXNNTc3Nmzfz8/PLy8uxSb2Tk5N0\n",
       "K5Yaj2DR2NjYWDw2jk6nS+c71qR0o0+fgpkZGBhASUnJBGwurWrGjh1bV1cHAGlpkJcH+/erWiBy\n",
       "QzQuWPDoEETMzSN8Pv/UqVPff//9woULL1++rCAnb0dHh4GBgbW19YgRI4yNjYes+0IcBG+nxMhl\n",
       "lG4UAMLDISsLqqqqHBwcyKNJpqamHR0dVCocOQItLaqWhtzwCQjEdGoqfX19TCazqalJorNycnIC\n",
       "AgKKiooyMzM3btwoF+vc0dFRXV397NkzYuPEiRMnTJgwbtw4ExMT8vymyIlCwss1Jt1oZycUFICn\n",
       "J2RlZQUHB6tanH/w8vIqLi728gJPTzh6VNXSkBuip04j02gI0NzcfPPmzfr6evH3ExQXF4eEhKSl\n",
       "pR0/fnzXrl0yZpng8/nt7e0sFuvGjRtFRUV1dXVYMAZCCl5ycQiE9EuNxqQbzckBW1twcIDz58+n\n",
       "pKSoWpx/8PHxuXXrlr+//2efQVQUREcDyTbZkgI80Siu1er7JCcOeIyziYmJp6enOKEalZWVsbGx\n",
       "AJCQkCCXoosvXrwoKSnhcDhaWlojRoywt7c3NzdX0118ZOClGTRfGFJ0igXqEVHTFLo5ORAUBF1d\n",
       "XRwOx9zcXNXi/IO3t3dhYSEALFgAenqgzkGMCiQpKYnP5/v6+uJ6KF24J7YYA4QldOIDIkloa2u7\n",
       "detWU1OTra2tl5fXK61zZ2fnhg0bIiMjo6Ki0tLS5FUSF7PLLi4ufn5+EyZMsLKyQtZZFlB1A1EU\n",
       "FcG//gWXLl1SXASodFhbW9fX1wOAjg5cvQqq3n9OamSPwd+xY0dKSkpCQkJ4eDhm6JctWyYX2eRI\n",
       "XV2djo6Ol5fX+PHjRYdq8Hi8hISE+fPnh4aGXrx4ccaMGdKN2NnZWV1dfefOnc7OTrzR0NDQ1dXV\n",
       "2toa2WW5gC6iKM6cAXNzoNHOxcTEqFoWQaysrJ49e/baa6+NHatqUciN7Mm/4O9Fb3lNMxUBlpXt\n",
       "lS7KwsLCzz//fMGCBZcuXZLOhnZ2djY1NTU2NrLZbC0trZEjR6p1VVySgwy0KCwtgcfjMRgMYhIA\n",
       "kjB16tTCwsL58+erWhCyI3vyL8z2hYaG7t27NyQkhIT+DRDDND9//nzdunUUCiU1NVXqUiDV1dWP\n",
       "Hj3C7LKdnR3yLysadHFfQX5+PjlXlqZOnXrhwgXcQH/3HYSEAPkStWoCmGXH/sdWHQez8iwWa+/e\n",
       "vcSW69evuykg6yCPx6uqqtLS0nJwcBDn4AMHDvz2229ff/31rFmzZBnXzMzM2dnZ0tIS2WXlgK6y\n",
       "cHp74cgRiIyE3377bfHixaoWRwiTJ0/esWMH/pLFgm3bIC1NhRKRFLkk/xJz3m1jYyOwF6axsdHY\n",
       "2Fi6QQeju7u7rKzsxYsXxN0Gg3Hz5s3NmzdL59Ngs9ktLS02Njb4/WnUqFHSSIyQFmSghXP5Muza\n",
       "BZ9+yr9x48a+fftULY4QjI2Ne3p6+vr6sF/dhg3g6gplZUA+Z4yKkT35F+bFBoCsrCzMhT3YDltD\n",
       "Q8PJkycTW8zNzeWb37y+vr6yslJHR2fSpEnDhw8XcSTu0zh+/LiVldVgh9XU1FRVVXl6ehLjlFpb\n",
       "W+vq6lpaWnR0dCwtLZGXWVWgKA7h0Onwr39BXl6ej48PaTc7TZo0qaSkBPvfzg6WLQPClBohN7DU\n",
       "BXw+PyMjQ4VZZXg8HpPJrKioMDEx8fb2FmGdsTiNsLCw+fPnHzt2DLfODQ0NApv6du3atWrVqoKC\n",
       "ggULFpw/f57H4zU0NBQWFt69e7erq2v8+PHTpk1D1lmFoBm0cM6ehe+/hxMnTixdulTVsgzK9OnT\n",
       "r1+/7uXlhb3cvBlcXODxYyDUIx7SJCQkYOE32MzXz88vPz9futk0XtKbRqOpqmLs8+fPnzx5Mm7c\n",
       "uPHjx4uYNBQUFGzZsoXH45mammZkZCQnJ6elpRkZGWGazOPx9PX1U1JSdHV1m5ubL126dOnSJQCI\n",
       "jo4ODg62s7NraGgwMzPz8PAwNzcn7dRk6IBm0EIoKYFnz2D27N7i4mLlVI6QjhkzZhAftMeNgz//\n",
       "BELB4qFOTEwMn8+vrKzcsWMHhUJJSUmR2teBR24kJSWpKgjawsJi2rRpInLCNDU1LVu27IcffoiI\n",
       "iPDw8MjKykpNTV2zZs3XX3+dlJQUEBBw8uTJ06dP+/j4/PjjjwBQX1/v4uKCnWtiYqKtrT1u3Dhv\n",
       "b28vLy8LCwtknckAMtBC6OyETz6BS5fOzps3j8xqOnbs2MePHxNbZs4E9DyKg4XfODo6YhNncZbU\n",
       "hJKSkkKcNaekpKgktwyFQhksJ2d/f39UVJSTk9P9+/d1dHTq6upmzpyJvTVr1qwHDx48ePCA2FJe\n",
       "Xg4AI0eOvH79OpYZMS8vz9LS0tDQUMy8dwjlgAy0EPz8YN8++Pnnn//v//5P1bK8AiqVWlFRoWop\n",
       "yI6MgZKOjo7EqbfAS8XBZrNZLFZfX5/ow2pqaubOnfvHH3+UlZUVFxcHBQXduHEjMzMTE/LcuXPe\n",
       "3t7e3t7nzp3Djj937pybm1tRURGTyfzss88++ugjb2/vw4cPJyYmKvwjISQE+aCFU1dX19/fP4b0\n",
       "3lx/f//c3FxnZ2diY2oqmJjAwoWqEoosEJN/4f+oS17ypqamBw8eUCiUcePGDXZMeXl5ZGRkVVXV\n",
       "+++/HxQUZGNjAwDvvvvu4cOHp02b5ufnp6+vb2VldeTIEQMDg6ioqNmzZ3O5XDs7u5kzZ3K5XHd3\n",
       "94CAgPfff1+JHwshGSo20PX19fiNHePBgwcSlbNUEIcOHfrkk09ULcWrCQgI2Lhxo0DsbW8vrFoF\n",
       "c+bAECiqKQp1scUC9Pf3M5nMp0+fjhw50tXVVe/lRIW9vb2pqalMJtPS0nLHjh3vvPPOd999t2bN\n",
       "Gh0dnc2bNwNAQ0ODgYHB+vXr169fTzwxMTHx6dOn5eXlurq6tra2o0ePFrP2FUKFqNhA6+npCSSf\n",
       "1dfXV63eBAVBXFxPbm7uzp07VSiGmNja2tbV1fH5fKKvfPlyOHwYvvkGvvlGhaIhpKGrq6u0tJTN\n",
       "ZtvZ2dnZ2eFfa3d39x9//MHhcM6cOTNt2jQ9Pb1t27bNnDnz0KFDAHD06NEFCxa8//77zs7O58+f\n",
       "T0hIENq5sbGxg4ODjY0N2geoLqj4ezI3NxfYp3fhwgX5BvZLRGkp3LgBOTk/LV++nMzLg0Q8PT3v\n",
       "3r07adIkvEVLC378EaZMgfBwmDhRhaIhJKakpKSvrw+LcsMbW1paQkNDw8PDu7u7r127pqOjM2bM\n",
       "mK+++uqHH37ADujp6fH19V27du2zZ89Wr15tZmaGtff19Wlra+OabGxsLPdtjQiFgp5xXiI9HebO\n",
       "5Z08+T/yLw/iBAcH//nnnwKNr78OK1dCXJxKJEJIj6Ojo4+Pj0Dy8dTU1MjIyDVr1tjZ2QGAtrZ2\n",
       "QkLCu+++29DQcPr06UuXLn3yyScff/yxq6urv78/Zp37+/tramry8/Nra2tV8kEQcgE96fwDnw/H\n",
       "j0Ng4MU5c94fNmyYqsURl4CAgISEhE2bNgm0HzgAHR0qkQghPRYWFgItfD6/paXF2dl506ZNWG3M\n",
       "5ubmxsbGo0ePvvfee0wmk8PhJCcnu/6dKIvH4z158uTRo0dcLtfCwkLEJm8E+UEG+h9u3YKODj6D\n",
       "sSsxUXBCSmaMjY319fUbGxstLS0F3jI1VYlECAno6OjQ1dUVGuDM5/M3bdqUn5/f3Ny8Z8+ePXv2\n",
       "fP7559iC8OrVq319fQ8cOCCwD/vp06fV1dUcDmfkyJH29vamSAPUHGSg/+H11yEkZO/bb8foqVuB\n",
       "v7CwsHPnzq1YsULouxwO6OsrWSLEq+Hz+Y8ePXr48OGYMWOEbqL55ZdftLW1582bl5OTQ6VSExMT\n",
       "09LSIiMj3333XaEdcrnc8vJyU1NTV1dXGQu/IkgCMtD/UFJys6vr5sKFG1QtiMSEhYV99NFHgxno\n",
       "f/8bvLxQHiVyweFwGAxGW1vbmDFjxo8fL/BuYWHh3r17CwoK9PX1V65cmZWVVVZWlpycfPDgQRF9\n",
       "6urq+vn5qd30AiECtEj4F52dnevWrdu/f7+qBZEGzHHZ2Ngo9N3du2H/fhiwjoiQBhqNJntCu+bm\n",
       "5lu3br148cLDw4NKpQrElT5+/Pizzz6bNWuWvr6+hYUFliXj6tWreN4MHB6PR6wHCADIOmsYaAYN\n",
       "AMDh8GbM+CUubhsZ9shIx5IlS1JTU9euXTvwrddfh8OHYelSuHkTxKi/gRBEIOBSdFGVV9LU1FRW\n",
       "VmZgYODh4YHX3n78+HFKSgqXyzU3Nz979uyTJ08eP35cVFT04Ycfbt++/fLly1ipKmI/bW1tFRUV\n",
       "HA5nxowZaMuJpoK+V+DxeMHB/2toWEK20t0S8dZbb508eXIwq7F0KXzwASxYAP39SpZLE4iPj4+I\n",
       "iMDqeUdERGRlZcmyR1FbW3vMmDHe3t6Yda6oqNi3b19QUJC7uzuDwfjyyy/LyspMTEyam5vNzMzi\n",
       "4uJ8fHwSExNPnjyp//dKQl9fX0VFxZ07dygUiqenJ7LOGsxQn0FzOJzlyz9kMuO/+EJUcQryY2Bg\n",
       "MH369Ozs7MFuM3v3QlAQaGsrWS5NIDo6mk6n02i0pKQk2XsbOXLkyJEjAeDhw4fHjh3LyckZM2aM\n",
       "s7PziRMnsAIRtra21dXVubm5hw4d+umnnw4cOPAaIYdsfX19VVUVn8+nUqmjR49Wl+1UCOkY0vfe\n",
       "u3fvzpkzx8IiSkvLcuVKVUsjM1FRUfHx8YO9q6MD8+YpUxyNIiQkJCwszM/PT14d7tu3LzIyEnNr\n",
       "aGtrh4aGXr582cjIaPfu3dra2llZWSNHjuzv7z9z5oyPjw9+VktLS0VFBVZYa8yYMcg6azxDdAb9\n",
       "/Pnzr7/++uHDhz/++GNYmOPGjaA+G1MGxd7e3tra+sqVK/7+/qKPvHULJk4EtJ4kESEhIVQqlUql\n",
       "hoWFDXZMf39/x8u7gzgczsDEF62trefOnbty5cqsWbMyMzNdXFwyMzODgoIaGxuXLFmyZ8+e1NRU\n",
       "GxubqKgogRNNTU1RrZMhxZAz0I8ePdqzZ095efm6detCQ0MBYO1a0JiEizt27Hj77bezs7P1RUY+\n",
       "r18PxsZw8iQMkv8dIZxXZoJ+8ODBV199RWxhMBgzZswgthw5ciQxMRGzxXZ2dr6+vsOGDdu3b19M\n",
       "TExgYKCrq+vx48c9PDx++umngf3r6OgM3GqI0GCGkIFmsVi7d++ur6+Pioo6ePAgPgcZJHpYLXnt\n",
       "tddWrFixZcsW0ZXIMzIgOBgCA+H332HYsI7+QZYOtbW10VY0kKSqt7u7e3p6OrElJSUFK+F6+vTp\n",
       "Z8+edXd3d3d3f/rpp9nZ2cOHDz979qyvr+/ly5fpdHpeXp7AdhU+n19XV9fe3v76668r8vMhyItC\n",
       "DDSu0Di4ZquE+vr6bdu2NTQ0bN68efr06aoSQzmsWLFi1apVe/bs2bBByI4bLpd7+fLl/Pz8ESPu\n",
       "3769ytbWberU7ZaWwgOo2Ww2m83u6ekxMDCYNGlSSEjIzJkzh2CmSqyqt6OjI41GAwBJNfnevXs9\n",
       "PT3ffvvt/v37W1paHBwcuFxuZ2dndnZ2d3e3vr5+WVnZwIwZL168ePDgQWdnJ0qmMZRRyI8NV2js\n",
       "JYvFolKpKsmezuVyDxw4cPr06R07dgQEBBDf+vNPaGuDJUuUL5TC2b9//5YtWxYuXBgdHT1x4kQ+\n",
       "n19bW5uXl/fnn3+y2ezZs2f7+fmtW7fO2Njk8GFwcjr4yvBCLpebn59//vz52NjYhQsXrly5EotD\n",
       "GDrIUtX75MmTkydPTk9PX758eVtb29atW7FAjn379iUmJqakpAgc39/fz2KxGhoa9PT0JkyYMGrU\n",
       "KLl9DIS6oajZEPFhzdHRUcaicNJRVFQUFRX17rvvXr16Vfvl+LLycli8GH7+WflCKQMtLa1vv/22\n",
       "oqIiNTX1hx9+0NLSsrGx8fb2PnbsmEAey8hIsTrU1dWdPXv27Nmz+/r6Tp8+vWDBgtDQ0DVr1qhR\n",
       "zj8ZYbFYuI2WNJaDSqVOmjQpLS1NX1/f09PTzs7u+fPn3d3dGzduPH78uMDBbDa7pKSku7vbysrK\n",
       "0dFRF9UAHtooxEDn5+fjCg0ALBZLyVWQORzO9u3bCwoKfv75Z4cBm+fq6iA0FD79VMOr9jk7O2/f\n",
       "vl3841esgBEjYMsWEDE51tHRWbJkyaJFi1JSUt54441NmzbNGwKxe1hVb/wRUKDI9yt5+PBhX1/f\n",
       "66+/fuTIESMjoyVLlly/fv2HH36YMGHCwD0mXV1dWlpaEydOHGrPKAihKCQOOisri0qlUv6GSqVm\n",
       "ZWUpYiChFBUVzZkzx8rK6sKFCwOt87Nn8MYbEBgIu3YpTSL1IDoa7twBBwfYsgWamkQdqa2tvWLF\n",
       "iszMzIyMjA8++ODp06fKklE1yFjVe/78+fPmzZs2bdrixYtPnToVFhZ27dq1wXYAmpub+/j4IOuM\n",
       "wFDIDDokJEQlHueWlpYvv/yyoaHhxIkTWIXjgTx8CGFhsHMnoEBSASZOhJwcuHYN9uwBOzu4dw+E\n",
       "pcD8BzMzsyNHjty6deu9994LDg6OiVG/NK3Kob6+vqWlpaqq6sSJE1hJFCK9vb19fX2GQ7y+L2IQ\n",
       "FDKDptPplJeRPQGYaNrb2/ft2xcaGhoSEnLq1KnBrDMATJ0Ku3ejHc+DMnMmnD0LVVVgb/9Xy8OH\n",
       "cPky9PQIP97Hx+fixYtmZmazZs1KSUnp6+tTmqjqQm5uroWFxcmTJwda5/r6+ps3b5aVlalCLoQa\n",
       "oBADjUVx8P+msrJSIOpOjpSUlKxbty4wMNDCwiI3N1dgID4f7t2DtWth/nwFja+ZWFn9cw8rK4Nl\n",
       "y8DUFKZOhdWrITdX8GBtbW0ajZaTk/Ps2bPZs2dv3bq1oqJCyQKTmVWrVsXHx48dO5bYyGaz79y5\n",
       "U1FRYWJi4uHhoSrZECRHzaI4uFxuc3Mzi8UqLy+/ceMGk8l0cXFZunTp3r17e3u1OJx/ti9XV8OG\n",
       "DZCbCy9ewFtvQWysXMYfioSGQm0tMJlw9SoUFMDJkzB79l9vHToExcVgZwdWVmBmZhgWtmHNmjWZ\n",
       "mZlfffVVVdVDN7dp06ZNcne3p1KpxHQ/Qw1bW1viSx6PV1NTU1dXp6Oj4+7uPrBQGQKBo+IoDgaD\n",
       "ER0dTWypqKjw9/cnPilfu9YZHKzF5/81o9PV1V+16qqHx9j169d3dlLnzdM5cwZaWwEATEzg4cM+\n",
       "bO8bm03x8KB8+CF/xgw+lnQXPXzLwvjxMH48LF8OQLiSkydTnj6lPH4MRUWUxkaYPJn/3XeUefPm\n",
       "zZs3b/VqyuHD2seO/XXk2LGX7O23Gxsb6+jo/Prrr0RvtfYQ8zc9fvy4trbW3NzcyclJ9I58BEIh\n",
       "BhqL4hBoEXqkm5vbxYsXiS3Y1ljidrVp00YQzbuxMTg7b8b+53KhoOCvdn19GD4cjIz+OtHdHdzd\n",
       "ZfwciFcwdSpMnUpsoOBOs0OH4JtvoKcH2GwAAFPTN8zNhe+HGWyjuaZiaWlpbGyM4jQQ4qAGURwG\n",
       "BjB5svC3dHVhQDk3BFlAZUuFMmzYsKGzwQchI0rKBy3HRLoIBAIxRFBS4huhqb8G4/bt28bGxooT\n",
       "hkh2djY5Q1CfP38usC2bJLS3twcHB8uxw9LSUi8vLzl2SDbE1Ofm5uaioiITExNZxpJUbXg8Xltb\n",
       "m0T+Fg6Hw+VyZfyFarCcJSUlctRn0mUmCwoK4nA4rdiqn+I5e/ZsYGCgcsaSiIsXL86ZM0fVUggh\n",
       "Ozt7ypQpckwY7+/vr5JULcpBfH0uLi4uKipyl2HlhM/nX7p0SSK16ejoKC8vn/rySoJoHj9+3NHR\n",
       "4ebmJrmAf8Hj8S5fvhwUFCT+Ke3t7RUVFVOmTBH/lLq6uq6uroGl0MWnv78/NzdXIvvQ1tb24sUL\n",
       "eeozXwEMXBLE6mySEH9/f1WLIBzSChYYGNjf369qKTSQrKysXbt2ydIDj8cLCAiQ6JQHDx7QaDSJ\n",
       "Tjl79uzevXslOkWA3t7eOXPmSHRKWVlZZGSkRKf89ttv33//vUSnCMBms4ODgyU6paSkJCoqSpZB\n",
       "BdDwdKMIBAKhvihqkZAM6UYRCARCrVGIgcY2quAvlZ9uFIFAIDQAFW9UQSAQCMRgUIa4a7ioqGjy\n",
       "YNtgVAoSbKjR0tLS3t5uj2cRlApJvx0Oh1NZWSlRtqbm5ubOzs6BmfkkQlI5e3p6qqqqJApxef78\n",
       "eVdXl0AiFIng8/l37tyRKGaOzWbX1NTIEuIiwFA30AgEAkFalLSTEIFAIBCSggw0AoFAkBRkoBEI\n",
       "BIKkIAONQCAQJAUZaAQCgSApyEAjEAgESUEGGoFAIEjKkDPQfn5+FAqFQqHgNQRoNBrWQtyeTjbZ\n",
       "VCseLgadThdoUflF0wwGfvWSolBVkf1XM1A8OaqQOOLJV2OJ6XbFGUvq0YeWgabT6R4eHlgePw8P\n",
       "DzqdTqfTS0tL+Xx+VlbWsmXLSCUbAJSWllZWVmKNxPxTShYM/k5L++abb2ItJLlomoHQr15SFKcq\n",
       "cvnVCIgnRxUSRzz5Dke0zuKMJcvoQ3cnYUJCgpOTE5PJBACssjiFQpargckWEhLi5+eH5ZmKiIhI\n",
       "SkpStVx/XaKEhAQg30XTDPCvXtITlaMqUv9qBMRTkAoNJp4ch0tISIiOjvbz88OqRA3sWZwW8Ycb\n",
       "WjNoHDqdzmAwsJ+Bk5MT1kiSnKi4bHQ6PT8/H5sauLm5STexkhfYM1p8fDz2kmwXTTMgqqWkJypB\n",
       "VaT+1QgVT+4qJFo8eQ2H2Vki4owl9ehD0UDTaLSMjAx8loHdbwGADDlRibIRi6Pj8wJVkZSUhAmD\n",
       "TQdIddE0AwG1lAglqIosvxqh4slXhV4pnuI0VpyxpB59yBloPz+/sLAw/It0cnJKT08HADqdrvLJ\n",
       "oIBsdDods4YAwGQy8ZuwkiGKgUGqi6YZCHz1kqJoVZHxVzNQPPmq0CvFU5zGijOWTKNLVylLTYmI\n",
       "iCB+9vj4eGIjvohBQtmwlyqXLSIiQqBFtRdNMxD61UvdidxVRS6/moHiyUuFxBRPvhrr6+s7UAAR\n",
       "Y0k9OlrhQSAQCJIy5FwcCAQCoS4gA41AIBAkBRloBAKBICnIQCMQCARJQQYagUAgSAoy0AgEAkFS\n",
       "kIFGIBAIkoIMNAKBQJAUZKARCASCpCADjUAgECQFGWgEAoEgKchAIxAIBElBBhqBQCBICjLQCAQC\n",
       "QVKQgUYgEAiSovYGmsViCZRAF78gG14LHT9lYP120ePiCNQcEV8AEWXYiZ9L4HhsOBaLRaPRpBtX\n",
       "aBH4hISEgR9q4MH4VcI/tfjXDaEgBBRShGJIp6tCRxHn6x6oxgMZ+ENgsViyyCnAwKpA6oLaG2gA\n",
       "8PX1lcJOYUYZK1vw5ptvgrD67a8cFy98kJ6eLsLUSoeIWgpYBR3pEFEEPjo6mlgnIjo6euDBCQkJ\n",
       "+FViMBhYlXuJrhtCQeD1bvh8fmlp6WAKKYvywMtqHx4e/krDJ11JkGXLlg0szyo1ISEhMn5qVaEJ\n",
       "BtrDw2OwSsZCp4QYISEhAiXgiC1ubm6SyuDo6AiE+SZ2z2CxWANnl/gx2Eu8HZ+lYi34AQLH02i0\n",
       "/Px8/J4kdC4j4oMzmczw8HDs8w5WwpJGo61fvx4AqFQq8TMOvDhMJlOW64ZQNLjy4M9DmPIQH7+w\n",
       "lwkJCZiuClVaiUbBuwJhakwcl6jYOCwWC1M2/IEYl1ZgoIHd4kPT6XSsHeshPDxcHacOmmCgASA6\n",
       "OhqbBQ9sJxb4GnhPxr7d+Ph4YiOxfrsI8vPzcQuYnJwMAJh5HTiFwVqwA4gzd+wsTHWwgpKVlZV0\n",
       "Oh0zoLgwAscnJSX5+vpiNjE5OZnYuZgfXHQReGxE7H7j6OgYGxtLoVB27NiBjRgdHZ2eni70dyXm\n",
       "dUMoiOTkZFwhsRkDUXkAgE6nE5VnINiTEPa/UL2Cl9U+PT0de8wSGEWgK3hZjbGXAxUbp7KyErvT\n",
       "r1+/PiMjAwAyMzPDwsIGdiL0F4cNnZGRgRUAxCYZoaGhWFfqhYYYaADIysoa6OgQMZHESEpKwr5s\n",
       "4g2ZWL9dBAKFI+l0uqOjo5ubGzYWPjnFJ57YP0wmMywsDGvBSkliqsNkMmNjYzMyMjIyMkJDQ/FR\n",
       "Bh5PBG/BRxHng4suAp+RkYFNn7F+MjIy+Hx+SkoKbpHz8vKwT02cL4t/3RAKAndx4CaYyWTiVjsm\n",
       "Jgb/3gcD/0IFlJYIUe3z8vIGG0XgWYqoxmFhYUwmU4Ri44XJHR0dS0tLASAmJiYkJGTgQEJ/cbhx\n",
       "p1KpFAolMzNTgotIMjTHQGMTN4FbsYiJpNB1A4H67ZKCdYj/SIQe4+TkhN/JMeXDtJA498Rmr4Md\n",
       "Lw4iPvgri8CXlpYSBcDUHW+h0+n4jTAmJga7l8h43RDyJTY2FvuOnJyciEW+BR6kcHUS+NVIiuhR\n",
       "8GNwNc7IyHBychKh2E5OTvi9JDw8nEajYc+4AwcS8YtzdHTk8/mVlZWYtldWVsryGVWF5hhoAJDI\n",
       "QISEhDAYDOzey2AwolRTwOYAAAFDSURBVKOjMffcm2++Odh0WwDisx7WYWhoaExMDP6MKVQnMCss\n",
       "4CIg+jQEph5Cj8/Pz5c6XiIkJMTDw4NCobz55pspKSlYI94b7v7DIDo0srKyBOTJyspydHSU9Loh\n",
       "FA32HSUkJBCVHPfGYsqD3XGx9oFPZpION3AUoSIRfyxCFRuDSqUyGAzs/+jo6OTkZGweMHAgEb84\n",
       "zHtJpVJjY2Ph5Sm8GkHhS7XGikAgEIrDz88P85+wWKxly5Zh/8ulQ/VCR9UCIBAIhCApKSnYo1hM\n",
       "TIzs3gmBhXc1As2gEQgEgqRolA8agUAgNAlkoBEIBIKkIAONQCAQJAUZaAQCgSApyEAjEAgESUEG\n",
       "GoFAIEgKMtAIBAJBUpCBRiAQCJKCDDQCgUCQFGSgEQgEgqQgA41AIBAkBRloBAKBICnIQCMQCARJ\n",
       "+X9fR2w6rRkMawAAAABJRU5ErkJggg==\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%R -i res plot.fevd(res)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "En la anterior celda de código le he pasado como parámetro de entrada (`- i res`) la variable `res` que había obtenido anteriormente para que esté disponible desde R. y he ejecutado código R puro (`plot.fevd(res)`)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Si lo anterior lo quiero hacer con rpy2 puedo hacer lo siquiente:\n",
    "\n",
    "<p class=\"alert alert-info\">CUIDADO, la siguiente celda de código puede provocar que se reinicialice el notebook y se rompa la sesión. Si has hecho cambios en el notebook guárdalos antes de ejecutar la celda, por lo que pueda pasar...</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "rpy2.rinterface.NULL"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ro.globalenv['res'] = res\n",
    "ro.r(\"plot.fevd(res)\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lo anterior me bloquea el notebook y me 'rompe' la sesión ([en windows, al menos](https://bitbucket.org/rpy2/rpy2/issues?q=windows)) ya que la ventana de gráficos se abre de forma externa... Por tanto, una buena opción para trabajar de forma interactiva con Python y R de forma conjunta y que no se 'rompa' nada es usar tanto rpy2 como su extensión para el notebook de Jupyter (dejaremos de llamarlo IPython poco a poco)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Usando Python y R combinando rpy2 y la función mágica"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Vamos a combinar las dos formas de trabajar con rpy2 en el siguiente ejemplo:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "metodos = [\"MLE\", \"GMLE\"]\n",
    "tipos = [\"GEV\", \"Gumbel\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lo que vamos a hacer es calcular los parámetros del ajuste usando la distribución GEV y Gumbel, que es un caso especial de la GEV. El ajuste lo calculamos usando tanto MLE como GMLE. Además de mostrar los valores resultantes del ajuste para los estimadores vamos a mostrar el dibujo de cada uno de los ajustes y algunos test de bondad. Usamos Python para toda la maquinaria de los bucles, usamos rpy2 para obtener los estimadores y usamos la función mágica de rpy2 para mostrar los gráficos del resultado."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tipo de ajuste:  GEV\n",
      "método de ajuste:  MLE\n",
      "[ 23.05170779   1.80858528  -0.14979836]\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nOzdaVwT1/4w8BM22WQR\n",
       "BBQVQYISWSxVVHBfqsHai1q51tZqvdfkWlvBqlfbUiuWWlvb26RPtQ1uf1q1LrXilrhWccFdK7KZ\n",
       "RBQKLiCbLEpIMs+LU6djCDEkmWQSft8XfIaTmTOHZPjlzJmzsAiCQAAAAJjHztIFAAAAoB0EaAAA\n",
       "YCgI0AAAwFAQoAEAgKEgQAMAAENBgAYAAAYTCAQymcyAlwiCIAgC74C34+LiNm7cSP4aExODEBKL\n",
       "xeRRcXFxAoEgNTUV/9q5c2eNbIODgw3+Q0aOHGnwsQAAG2Nn1+4KqKOjo5ubW0BAAP61R48eGjvI\n",
       "ZLL+/fvj7RkzZiCE+Hz+8ePH28qQjHUIobi4OBwkqTtkZma2PorNZv/1JyCEkpOTQ0ND2wrEZLEQ\n",
       "QtRwnJycrGN/qoSEBPwHEARx//797Oxs8qX6+nq88e677+KNO3fukCXBGzjiU1Nw3Pf19UUIvfLK\n",
       "K+RPas6Yt7e3PiXs1asXue3s7Kzn3wUAYDIWi9XeQ8LDwz09PfHokKioqC5duoSGhiKE3Nzc8A6H\n",
       "Dh0iK5E7duzAG0FBQdRMxGIxGbLT09PJ9KSkpPj4+NTUVH9//3/84x8IIS6Xu2bNGhzocRCLiory\n",
       "8fEZM2ZMVFRUVFRUe8sPAADAvFxcXHTv4OfnpzWd/I6yt7enpnft2rVdBTDgZgQAABjOgFq8IbQ2\n",
       "lOgAI8gBAMAAnp6etJ9Dd4s2AAAArfr166eZxOPxtO7q6uqKNxYvXtyuc2g8qQQAgI5DR78OZECL\n",
       "rru7u+6M/vWvf2ndwdHREW9otEGHh4frOF3rOjy0QQMAAAAAAKsik8lwH2fcldow1P7L1HSE0PHj\n",
       "xzVyxufS54waeWo9kLoDj8drfXb8k8whPDyc3AHvjwufmpqKO5bjrtZk72x7e/uYmBh/f39q5jwe\n",
       "jzw2JiYGd1+PiYmJi4vLzMxksVgxz5AZIoT69+/v7+9PbaOXyWRkUxJ69ti3f//+o0ePxim4x7cG\n",
       "LpeLEOrcuXPv3r11fLJOTk7tuA4A0ImOPgnUm29q/hrnInsio+evavyfNWXKFNxr2M3NzdHREXci\n",
       "xiEC9zJ+9913/f39w8PD+/Tpw2KxpkyZIhAIcD4xMTFTpkzx9/cnCAKfxcfHJzg4eMqUKTjU9O7d\n",
       "OyoqasqUKThFIBBoRC0ejycQCMhhfW2FMrzPC8MdDmX4dH89zSOjmz5ZaKA2N2vkRj1l65wFFLpL\n",
       "rJFn6wNbn1Tj7PgTwse2zo1oNbyHhOO1n58f/sinTJmiUQzqga+88gp+WwUCQffu3bt37/7Xu/ys\n",
       "FzrOMCoqChcD927U8kzgWW5a06nwpaaR8sKjAGAmw67enj17urm54Ujt4eHh7Ozs5uamMUq5f//+\n",
       "AoEAB3F7e3scYbt3744QCggIoO7s6uoaHByMK2d4TIqLiwuuacXFxaWmpuIYTQ0y1AGHbQUiPau/\n",
       "OIfjx4937txZJpOxCOgPBwAAjASP5gAAgKEgQAMAAENBgAYAAIaCAA0AAAwFARoAABgKAjQAADAU\n",
       "BGgAAGAoCNAAAMBQEKABAIChIEADAABDQYAGAACGggANAAAMBQEaAAAYCgI0AAAwFARoAABgKAjQ\n",
       "AADAUBCgAQCAoSBAAwAAQ0GABgAAhoIADQAADAUBGgAAGAoCNAAAMBQEaAAAYCgI0AAAwFAQoAEA\n",
       "gKEgQAMAAENBgAYAAIaCAA0AAAwFARoAABgKAjQAADAUBGgAAGAoCNDAxvH5fBaFpYsDQDtAgAY2\n",
       "LiMjgyCIuLg4giB4PJ6liwNAO0CABh1IXl6epYsAQDtAgAY2TiAQ8Pn8pKQkFosVERFh6eIA0A4s\n",
       "giAsXQYAAABaQA0a2Lj4+Hit2wAwHwRoYLNw/42cnBzowgGsFDRxABsXHx9/7tw5S5cCAENAgAYA\n",
       "AIaCJg5g42CgCrBeEKCBjYOBKsB6QYAGHQgMVAHWBQI0sHEwUAVYL3hICAAADAU1aAAAYCgI0MCW\n",
       "xcfHk/03YBghsDoQoIHNio+PT01NJZ5JTU2FGA2sCwRoYMu4XK7WbQCsAgRoAABgKFoCtEQiYT1P\n",
       "IpHQcSIAdKBOk4Tl5ORYulAAtAMt3ezi4+MzMzNDQ0Pxr3K5nM1mQ38+AABoF7qaOMjojLfj4uJo\n",
       "OhEAdMN3hHw+XygU4pq4XC63dKFAh+BAR6Y5OTlyuZxag9b/1vL27dsbNmygo1SAmezs7JKTk/39\n",
       "/S1dkDalp6cTBCEUCgsKCvCNoP5TmML1zGSd7RqaiU4KwhH/6ujoyGKxFAqFMXma9nqmJUCLxWI2\n",
       "m62RonXPurq6o0ePUlOOHj3KYrGSkpLoKBhgoB07dvzxxx8TJkywdEFeICwszICjzp49q1KpmP/X\n",
       "dUwhD3++25WrtuuEEML3RrhHpjF5mvZ6piVAc7lcPf/I2tra4uJiakpubm5QUNC4cePoKBiwrKqq\n",
       "qtzcXG9v7wEDBpCJly9ftmCR9CeVSgsKCgw4kMPhwPXMVONCEEIIVVRU3Lt3r3///o6OjkbmaNrr\n",
       "mZYALZFIEhIS4uLiIiIiMjIyEEIymYzaKk0KCgpatmwZNUUul6vVajpKBSzrypUrKSkpr7zySmlp\n",
       "KUEQmzZtovuMWmd/NqB+lJqaymKxeDweh8PBecpkMq17KhSKmzdvUlPkcnm3bt3ae0ZAr9wMhFgo\n",
       "ah7+rbS0tK6uLjIy0t7evl3ZSKXSLVu2BAcH//vf/7azo+V5Hi0Bmmyz27VrV3vb7ICtSktL27lz\n",
       "Z2BgIELoP//5z6VLl2JjY2k9Y+trz7CRhNQ7wuTkZB17FhcX4xoJ6cyZMxwO59133zXgvIAW51eh\n",
       "umI0YTNCiCAIuVxOEERERER7F3NQqVR9+/bF2wRB8Pl80xeVpgCNhYWFQVMyID1+/Lh79+54Oyws\n",
       "7N69e+Y5L/UBtWH9oPEdIUJILBbj4YhtVTj69esnEomoKfPmzYM7QgapvoUaytErGxHLTq1WFxQU\n",
       "eHh49OrVy4CcHj9+TG7n5+ebrojPoaubnVwu53K5uqsboEMZPHjwxo0bEUIVFRVZWVlDhgwxz3nF\n",
       "YjE5UKWth9W6paeny2QygiCysrJgyJV169IXjRchOwelUnnz5k1fX1/DojNCyNvbe+7cuXh79uzZ\n",
       "pivic2ipQWdmZlJHprBYrLba7EDHsWrVqmXLlo0ePdrBweGzzz4LCAgwz3n1f2StA36CIhKJ+Hy+\n",
       "Rg8lYB2ufYeCucibjRBSKBT5+fk9evTo2rWrMVlu2rQpPT3d29vb2dnZRKXUREuADg0Npf5LwBhC\n",
       "gBBydnYWCoWWLoWByH79IpEIpsSzNgQ68T5y8cXRuampqbCwkM1me3h4GJ813U+AYbIkYOPIcYB8\n",
       "Pt+wBgp8R0j9lflzeuh45KX1JTLRBhc+v/Ej6uSJ4lYihGprawsLCzkcjkmisxlAgAY2LiEhAbew\n",
       "iUQi/KyvvTTuCDV+ZRr8hdTel0hM/tMMFD0fDfscIVRRUXH37t2oqCgXFxdLl0lfEKABsClSqZQg\n",
       "CK2z3+h4iYQjuFwuJxejIZt0+Hw+TrGSpioCFW4lfykvL3/48GFkZKTxQ1HMicZudgAwATnxQEZG\n",
       "hmG9OOhSfQvlb0EIIcRC0f9BHkF6pbyIjq5T7e1VRXYkl8vl+C4EpwiFQolEorEAQklJSWBgoIMD\n",
       "M0IKoUYnFqDOf/XQkMlkarXagM7OFgc1aGDjcC8OjFmLqrh3R2HTUdh0FPY6cumqb0o74WqvAcMo\n",
       "IiIiqBtSqTQjIwPXoFNSUqRSqcb+jY2NKpXKgBLS4sQC5N0XDf6QIIjCwkIHB4e+fftaXXRGUIMG\n",
       "Nk9jJCGDRrQ6dUb+L7c7pZ1EIpHG2BnDhIWFCQQCqxnZEPsh8uilVCrz8/P9/Pw0+lpcuXLl008/\n",
       "9fLy+vrrrxk+EB9q0MBm4cojdV0VS5fIinG53IKCAh1rJLm6urZ3LgvTI1SouhAhhDx64XlRAgMD\n",
       "W4fgDz74QCwWb9++/cMPP7RAIdsDAjSwWSKRCD8TI5s4GFR9ppmOv1TrS2TnDbwRGhpK1rtFIhHZ\n",
       "B1xHY1Hv3r0t3ACtbkGH3kT3LyGEmpqabt682adPH19f39Y7njlzBm/U1dWZtYTtBwEa2LiOE5Q7\n",
       "NHULOpCEQiah/rPr6up0d3bes2cPQmjUqFFpaWnmLWW70bhoLCwRBJiA7BwGrRy0KikpUSqVFju9\n",
       "qhnFJCPOrKqqquLi4sjISB2dnadOnUoQxMmTJ6OiosxZRgNoCdBCoVAoFOLL2rAOj3i6UQ6Hg5cI\n",
       "IgiCvslEgKUolcqjR4/u37+/qanJ0mXRJSMjg2zo4PF4li6OzbJYLw61EqlbkKM76jnq3r175eXl\n",
       "UVFRTk5OFigJDbS0GaWkpBAEgVd/YbFYBj+3NWyJIGAVGhsbX3311fj4eDc3t88///y3337DEz23\n",
       "V3l5+YEDBww71gB5eXnmOREwk5YmdGA6GvIx6h53+/btlpaWyMhIW7pP0t6oL5fLjV+H2+AlggDz\n",
       "/fLLL0lJSfPnz0cIxcbGCgSCtWvXtiuH4uLitLS0+vr6AQMG0LpirEAg4PP5SUlJeFUU+k7UQeCq\n",
       "W+t0FxcXHb04yKPaOtwQT6vR/mlo6KdEt6G3ioo6derUr18/0+TMGFoCNI/HY7PZYrGYz+cLBAID\n",
       "MtV/iSCEUE1NDfXX5uZm6xqL2TE9ePBg4MCBeLtPnz7379/X/9h79+6lpaWVlpampqbGx8d/8cUX\n",
       "9JTxL+QtoNX04WW2tsJrcHCwMYcb4lE+GpKq6j68MD/fx8eH4T2aDURYVH5+/vTnBQcHJyYmWrZU\n",
       "4IUuXbqUmJjY2NjY0tKycOHC7du363PU/fv3eTze+PHjz5w5QyauXr368OHDdBSSCRf8v//977lz\n",
       "55rtdAKBAN/7EpQGd4FAgF8lb4t5PJ5MJtOxMzkmXiwWU7cJgiDfQ/IQHo9HEIRMJiPzp3ZtxMij\n",
       "8IbWnVsX+IUUCsW1a9cqKysNf8tMzbTXs5aHhMZPz4hzoPZmb2sKXQ6Hs+t5Y8eO7dKliwEnBeY0\n",
       "aNCgt956a9SoUYMHDw4NDX3jjTd07//w4cPk5OQZM2ZMnz796NGjw4YNM0MhtV7xZjivnhobG2+1\n",
       "n1QqVSgUOrKNiIggCAL/65F/skQiEQqFSUlJOIVcOLGtnbOysvAiMmw2m7pNnkXjkG3btuEloMgU\n",
       "fTpuUXduXYY2D2uqQLtGI+WTJ0+e5ObmttXZ2TZoaeLA0zOuXbtWJBIZ1mCElwgKDQ3FMwAwawIE\n",
       "YCLTpk2bNm3aC3erqan58ssvz58//8knn1jJLGhm4uLiYth6S7rbADkcDno2dQYZiAUCQUFBQWJi\n",
       "Iv6VrKu2tfPSpUtxONbYJpuJpFIpmVtiYuLp06djYmI0pu/QjdwnNDQ0Jydn9+7dBw8epJZBe9xo\n",
       "KEf7X0djv69/opRKpeHh4a6uri88l/Wia6AKOfQoKysLOkF3THV1dcuXL3/ttdfi4+NPnTo1btw4\n",
       "ixSD9TyLlEErOzs7F4Po81fgqTPI+4bk5GQOh0POcKSx9HjrnfGc1zKZbNeuXdRt6iFZWVl4Oysr\n",
       "KzAw0LBHR/v37//pp59mz5598OBBhBDZ9tXmA4PcDDRGWO0YLJfLIyMjbTs6I60BGk/PiGeuMnh6\n",
       "RjIoi0Qi6ATd0Tx+/HjlypVcLvfll1/Ozs6ePHmyBSMjtX2j4/TiaD11RnJy8q5du/CvGu9D653x\n",
       "MAg2m52amkrdph6Cnn35EQRB1qbba8OGDdRfhw8f3tZcH3+JS3vICrKxzs66tLPNWi/k1LFaf9XN\n",
       "zA9VgGk1NTWtWbNmyJAhu3btUqlU+hxC30PC1gy74MViMX6QRT7Xwm2y+mDO9SwQCMhqMk3/+AZY\n",
       "unQpNRwVFxdr36/uDnE2lSCI4uLi/Px8PS8tizDt9fxcG7TWag7R/jZo61oiCJjE06dPhUJhVlbW\n",
       "/PnzT58+zZy+ktSr2rAadHp6emZmJn7Ihmf2YNa0pfpJTk6Oj49PSUlBCBnWfbYtCoXC4MrsqlWr\n",
       "AgICamtrR40aFRsb6+7urmWnqgJ05F/EpF/kMpmDgwNuN+8gngvQEEaBAZqbm3/88ccdO3a88847\n",
       "2dnZTLvxNMlVjZ+pWPvgWDq+VKqqqhoaGoKCXrzUi1bOzs4ffPCBrj0INTrGV0/8v4I/G7y8vHr0\n",
       "6GHYiazUc23QuDMcYx+qAKZRKpUZGRmjRo1ycXHJzs7m8XhMi87IFJMl4f4GkyZNwo/F4KE3iSCI\n",
       "srIyWgeCIpZdy7Tfc0uf+Pv7d7TojDRq0PgLFurR4IVUKtWmTZu2bNkyY8aM48ePu7m5WbpEbcKT\n",
       "JRmTA+5vSuaGdP6PdKiRsQ8ePPD09HR2dqYl90c30ZOqp12HFBYWhoSEeHp60nIWZtPSi4M6qKSt\n",
       "ASagw1Kr1T/99NOIESNqamqOHTuWnJzM5OiMDG131qDx6Kat3XJzc5Oe9/vvvz969Mj4AuiPXI2b\n",
       "7HVOvYfA1X9qTwm8gLdh5/L396c2buATyeXy1ncqfD6/rTsPpVKpZULEylx07D8NnXrl5+eHhYVp\n",
       "jc5yudyAtRb1LBVDPBegYYkgoANBELt37x4xYsT9+/cPHz68bNky7Y90mMfIJg79R8ZGRUUdex6X\n",
       "yzXnODehUIgHBxIEUVBQgAucl5dHdjsJDQ2VSCQCgUAmk6WnpyOEZs+enZmZadjp7OzsqG8pvlnR\n",
       "0SmgsrJy69at33333dWrVydOnDh48OA1a9Y4Ojq6ubk9N4ipVo6Oz68dlSkrr4uMjGR4DYBWzwXo\n",
       "jrxEENANh+b8/Px9+/YtW7asc+fOli6RvnDUeGHlVwc8MpYgiKysLMMmPzAnaicHcmQKm81maVvb\n",
       "WyKRRERE4EegGsjVNvC3EVkN5/P5jx8/Pn78+KBBgzR2QM/6zJBRmzyKIIj33nvPz89v1qxZycnJ\n",
       "AwcOPHLkyKVLl8hVAVNSUsivPeHm31gzc7y7sxcsWODk5ERmonUkKlkqjTPiFHx/QC0ndR/yTXhB\n",
       "52vL0dLEAUEZUB04cGDs2LFXr17du3fvypUrfXx8LF2i9uHxeMbfxtIxMra+vj7/GXyPr0+KbtTR\n",
       "KDhFIpHk5OTgLycOhyORSLhcbkpKCh54givR1OCFyeXyXbt24aOSkpImTpyInrXztLS0ZGZmenp6\n",
       "Ojk5kd95crkcr2FI/QqkTq+xYcOGI0eO6Cj5mDFjEELyy2J5wfWft+/CnZ3/+c9/Uk+NWs3RQX77\n",
       "4pfwR4NT8vLyyE+KWk5qqfATBa2TjTCElgANSwQB7Pfffx83bty5c+d++eWXNWvWWOmUNBkZGbj+\n",
       "aMz1TMfIWDc3t5Bn8HM2fVJe6Ny5c2Q4RghxuVwyaIaFheE6Nd5BKpUmJSXl5eURBBEREUGNfTKZ\n",
       "LCkpCW8nJydzuVxyrODrr7+uVCq9vb1fOPMGdb6OOXPmtN6BzWaLRKKYmJiFCxdu3LgxItiXyFmV\n",
       "ffYil8vlcDh2dnb41HhUM4vFSklJIe8JMLJDd2JiolQqDQ0NxVMc46ZajeLhDWqp8PMJPNkIi8U6\n",
       "dOiQPu+wOWkJ0MbfEgJrl52dPXbs2H379m3ZsmXNmjV+fn6WLpHh9Hy+p0NmZia1bpWZmUn+8xuD\n",
       "OheHnZ2dnim64VHaeDslJWXSpEl4HjucIpVKqV25U1JS2prygs1mkzNvSCSSb775Jisrq7m5WalU\n",
       "7tu3T8958anzdUil0r17906ePHnKlCk3btwgvyHGjBkzcOBAoVAY7FROPLxSzE7ty4n4/fffqafW\n",
       "mCeEegqykFlZWWFhYfgvxXu2teQItVR4hR2tk40whJaP3Pi1VID1unLlCpfL3b59++bNm4VCYc+e\n",
       "PS1dIsOZql+/FY2MpU6RIRaLQ0NDqfNsIMrUkuRyHHh5jby8POrscaGhoXgNGhaLlZCQUFpaShCE\n",
       "s7Mz7jKo5/yU1MIghCIiIvbv39+1a9fo6OjWbb5KlkuN5xBvX79hw4ZpnFpjnhCNs1D/tEmTJqWk\n",
       "pOCUiIgIreuEaJQKPWsz0JhshCmIVl64wwvZxtwFHc3Vq1cnTJjA4/HanA+BHuaci8P8bOZ6rqqq\n",
       "unPnDi1ZP6lSKBTXr1+vqqqiJX/zonEuDjIiGxn0bWPugo7jxo0bn376qZeX1//+978ONdEB0F9D\n",
       "Q4PBQ0UUCsWPP/748OFDPp+vOQW2bM+TogOFgQvZbLYVdQ0yG+2LxhrPNuYusHlSqfSTTz5hsVjp\n",
       "6en6TLJuXeRyOZvNlslkMpksISEBISQWi2H5CMMYtrYA9uWXX65YsQIhlJOTc/Lkyb9fKNz2+PZp\n",
       "eff3wsPDXVxcjC+k7aGlFwfMXcB8crk8KSlpxYoVH3/88Y4dO2wvOiOEZs+ejVf2wR2ZyaEZwMwK\n",
       "CwvxxqlTp9RqNZn+sAEVB/KjogdAdG6Llho07sWBGyUMG0mp/9wFubm5c+fOpaaUlJTAU0paFRcX\n",
       "p6WlNTQ0LF26dMiQIZYuDr1CQ0Nx/UDrWAygp8bGxidPnhjcz3Lu3Lm//PILQmjRokVkX5SysrLq\n",
       "TpGR/fvb29ubrKA25wVNHLgbigH0bMiOioq6cuUKNWXevHnU71hgQvfu3UtLSystLU1NTe04s6yQ\n",
       "XXoZOE7MWlRVVRmzuNS4ceMaGxsbGhpwf03ixgZ5vTvh93JkZCSMtNBNSxOHQCDg8/m4p4thd776\n",
       "z10AzOPBgwd8Pn/OnDmzZs2SSCT6fBw3btxITEyMjY395JNPmpubzVBIk8MdyBISEpKTk4VCYUJC\n",
       "AjypNoBSqaysrPT29jYmE1dX17+i84X0oipH++6Dw8LCIDq/kJYAnZycLBKJkpOTCYLAwzfby7rm\n",
       "LrBtFRUVycnJM2bMmD59+g8//LB58+YJEyZ88803SqUS73Dq1Klp06a9+uqre/fuJY96/Pjxf/7z\n",
       "n6+//vrixYtdunRZtWqVhYpvFDyIDt/M4evZ0iWySg0NDSEhIe1tiDh//jyPxxMIBNQbYlV9+c2n\n",
       "YR5h40JCQkxdTNtEby8OkUjE5/MZOMK9I6itrV2zZs358+c/+eQToVDY2Ng4fvx4oVAYFRW1du3a\n",
       "tLS0zz777I8//li9evWmTZtcXFzmz5/v4uKCpz64dOkSl8vFH+KiRYuGDRtm6b8GWIyXl1d7D2lo\n",
       "aCCfJHl5eeFx3gqFIk/2sGf/0V27djVtCW2Ylhq08SOvEKzqbVF1dXXLly+fNGlSbW1t3759i4uL\n",
       "W1paLl++PHbs2EGDBnXq1Ck1NRX3djpw4MDixYt79uzp6+v72Wef/frrrziHLl26lJeX4+3a2lq6\n",
       "ZmQHzKZSqWpraw04sLq6mty+c+cOQujJ5XW5Vy/06dMHonO7aAnQ1HEshk12TtPcBeCFHj9+vHLl\n",
       "Si6X+/LLL/fq1atfv36LFy+urq7+z3/+07lz56qqKrxbU1OTg4MDQqhz587k/1JVVZWHhwfejomJ\n",
       "qa6uXrJkyaZNm1577bXly5db5M8BliWTyRQKRbsOycvLe//9948fP46rZbGxsXPmzH58Kr2gqWd4\n",
       "1Msdc1UUY7ygiSMjI8OAZmgrmrvAZjx58kQgEGzZsmXw4MECgaBfv35btmzBSzgvX758zJgxHA6n\n",
       "tLQ0PT2dw+FkZGQsXLgQITRr1qyJEyfW19e7uLh89913O3bsIDPcuXPn4cOHHzx4sGXLlj59+ljs\n",
       "DzOC1vs/uBT1JJVKXVxc2jVP1tOnTyMjI/H2pk2b1q1b5+rqWnljXzEKj4rj2vDSX/TREqBZRi9T\n",
       "D8ymsLDw5MmT169fz8vLUygU77zzTnR09FdffTV+/HiN3or29vZ79+7dvXv3nTt3vvjii5deegkh\n",
       "5OPjc+TIkZ07d9bU1Ozbt6979+7k/nZ2dnj0nfWCWGwMHx+f9s79TW3ZkMlkbm5u5eXltY7sqBHh\n",
       "+kzFB1qjZS4OQKtr164VFxcPHjw4Ozv7iy++UCgUISEhPj4+gYGBeH2KcePGjR07NiQkZO3atcOH\n",
       "Dz9+/Hjfvn3xetszZ87UyK1Lly7z58+3wJ8BmEqtVtvZ2RmwMkP37t3feeedLVu2IITmzJldcmHX\n",
       "E69IPEEzDcXsEOBrzcq8995769atu3//Pp557t13383Lyzty5EhLSwtZZXZycmKxWJs3b/bz89u3\n",
       "b19ISMi6dessW2wLwr3y+Xw+n8+HTp+6EQRx69atyspKg3PYvHlzbW1tc/NTVvlZQvm0X79wiM7G\n",
       "0AzQ1Ik48FTfcE0zR2lpaVlZ2eDBg7dv3/7OO+84ODgsWLCgU6dOCCEOh3Pp0qUTJ048fPhw1apV\n",
       "w4YNs7e3nz179hdffDFz5syOfIOZkJCA5wUWiUTW3mhDK4IgCgoKOnfu7O/vb0w+7u7uReeyPF0d\n",
       "eg9721Rl67A0V/VGlF4cWVlZBQUFMPsXE9TX19++fXvTpk2XLl2qqak5duzY0qVL3d3d161bh7vQ\n",
       "5eTk7Nu37+DBgykpKdY7tIT5bLga/vTpU19fX+pzCAO0tLTk5eV17xvrP2SOicrVoT3XBo2nSSJ/\n",
       "zcvLy8nJMWwwITCh9evXf//991VVVc7Ozl26dJkyZYq7u/vOnTvHjx9fV1c3efLkoKCgnTt39u7d\n",
       "+9tvv7V0YRlHLBbjTp8ZGRlisdiAHDRu0nXP/2W98MJaxuTwpKmh6Oa1sIiX3dzcTFUqBlKr1dXV\n",
       "1TU1NQ0NDeHh4bSOEtDVze7cuXPQfmRZNTU1e/bs+fjjj5OTk99//32FQjF9+vTU1NSqqqqXXnpp\n",
       "3bp17u7uH330kaWLyWjUVVMNIxAICgoKcE2Fz+cnJiba5G2lSqWys7Mz+F++sb7u1iVxP58WV7cR\n",
       "pi0YEyiVytraWldXV1dX1+bm5qamJn9//9DQULoj5HMBmsfj8fl8ssrM5/Ohm52l3LhxIykpqaKi\n",
       "gsVijRgxYuXKlTidxWIxcGlL25acnIwXY6wxtO8AACAASURBVLXtu8nS0lIfHx9ysFK7PHxw785V\n",
       "SWCnWtcBi01eMMtSKpU3b960t7f39PTEb46Li4sxyxe0y3Nt0CKRiFy0nMVicTgc469IG26zo8/J\n",
       "kydHjx49duzYW7du5eXl/f777zU1NQih69evGzmpWIfC0sawrLhcbmJiom1PykhOLNVeDx8+3Lf/\n",
       "wPLFC3uNX3L48GGTF8zMampqbt++ff36dTzbgYODw0svvRQVFRUUFIT7qpqTZhNHcnJyWyux66+D\n",
       "tNmZyu3btxcuXNjQ0ODi4uLm5nbixAkXFxcPD4/169fjHeLj40eNGuXr6+vg4LBx40bLltaK4EuO\n",
       "uh6mMRGWy+Wy2Ww2m52YmGia8tmEO7eldbU18+e/i3t5Hj16FM+3ZUVUKlVdXZ1CoQgICEAINTU1\n",
       "+fr6BgcHM6HvEy2z2XWQNjsjHTt2bM2aNS0tLSUlJfv27VMqlW+//XZJSUleXl6vXr169Oixbdu2\n",
       "N998U6FQ1NTUXLp0CXenA+1FnQfGyDlhXjhpgVWvEOTt7d2uh4QEQRQV3HS7uycqauzw4cOzs7MR\n",
       "Qq+88gptBTQZpVJJEAQeen737t36+noPDw9yYE5gYKBFS/ccWgJ0B2mzM8zWrVu3bNmiUChqa2tP\n",
       "nTrl4uLC4XBef/31sWPHvvzyyz179nR0dLS3t//ss88WL1584sSJ/Pz8pUuXQnQ2mFgsJm/pDOvF\n",
       "IZFINNacbWuVeqteIahdrWdKpbIgL7frn9u6RU5o8hno7u6O07t160ZP6bRQq9U41OL/DrxoS0tL\n",
       "C0KoR48eCKF79+5VVVUplUoHBwc8SUhZWdmjR48cHBw6deqE+/b07t3bbAU2AF3zQZPXsU2uRmow\n",
       "iUQikUj279+/Y8eO77//ft++ffv3729sbOzVq5dIJPryyy83btz418ITBPHhhx/+4x//8Pf3hyU1\n",
       "jWF8Lw68AEVoaCgeKGBjt4NPnz69detW79699Z9qrrm5+fLly4EeKqXPgH99tnPz5gnkSz///HN0\n",
       "dLQBxWhpaVEqlfhSr6+vr6+vVyqVLBarZ8+eCKHy8vLKykq1Wu3s7MzhcHBKVVWVg4ODs7Mznv5f\n",
       "oVCoVConJydyVqaAgAA/Pz97e3vyG7pHjx44dluL5wK0aWf/0qfNrqioSKPr7tmzZ8PDww07I5Pt\n",
       "3r177969eXl5q1evdnNzc3JyqqqqWrt27e7du0+dOpWWlrZixYrs7GwWi7VkyRKVSlVUVHTw4EEI\n",
       "zQxhqwtQlJaWVlVVsdlssgr8Qr/88svTp0+/++67P/74o/Wr/fv3b28ZVCqVXC5/+vSpu7s7njdR\n",
       "pVKxWCxXV1fyoVy3bt0CAgKoq7oEBgZqtEV4e3tr3ATY2dkxoR3ZGM8FaJM/x3thm11ISMiyZcuo\n",
       "KXV1ddY+Pbxarf7ll1/OnDnTp0+fwMDAM2fOVFZWOjs7f/311ytXrkxOTt6wYYOLi4uPj4+zs/Oe\n",
       "PXuOHj26a9cutVrN4/G6det28eJFOzu72NhYa7+2GIJsoECUNor2ksvlZIy29r4cT58+ra6u9vLy\n",
       "cnV17dq1q549xoqLi4uLi2/cuOHl4c6++1WZrLj1Ptu3b58xY4Y+uSmVyqamJoSQh4dHS0uLt7c3\n",
       "dV5TLy8vjWVcOuz/Ai1NHPq32Tk5OWmsTta5c2drabNry8qVK1taWhYtWvT5559/9913R44ceeut\n",
       "t1xcXOrr62trax8+fNinT58hQ4aUlZWtWrXq6dOnixYtonY+tZZnStYiISGBrCWwWCwDaiF4AQry\n",
       "QI31KBhLpVKVl5crlUqlUunn5+fl5dXS0pKfn+/g4ODj44Mrp3reop09e3b48OFDhw6dO/utcOnH\n",
       "726vetSIEEJDhw49f/48Qmju3LnLly/X820pKirCrRldunRBCDk7O1t7nYw+WgI0n8/HHeMwAy5o\n",
       "226z0+Hw4cM3btzYvXt3fn6+nZ1dSUnJhAkTWCyWn59feXn522+//b///S86OrqpqWnAgAHJycnG\n",
       "LGUPzMZ6F6BwcXFxdHR0cnLCEdDR0XHAgAEG5HPw4MFx48YlJCQU7VmeUVR/4x5ydnbesmXLP//5\n",
       "z5KSki5duugzvEWtVqtUKkdHx379+hlQho5JS4DGM3LgOi+OsAaw1TY7rc6cOVNQUHDp0iV7e/sp\n",
       "U6Y0NDS88847mZmZCKG6urq0tLRHjx5VVFQsWbIkLy9PLBYfO3YMQrPZGN+Lw7rU1NSUlZVFRkba\n",
       "29ubagHA0aNH29vbL1++PCYmZrlg6eXLl5csWYL7penfC0Iul+OKvEmK1EG8oIkjLy/PsHxtqc1O\n",
       "t5UrV5aXl48aNerQoUPz5s3jcrl8Pn/jxo07dux48ODBhQsXvvrqq1deeWX9+vUsFsve3v7IkSMQ\n",
       "nc3J+F4cDNfS0mJvb29nZ/f48WO5XO7m5maSKipBEDdu3PDx8amurm6oKp/qcYItEr322mtdunSZ\n",
       "OnVqu7JSKpV3795VqVQQndtLS4AWCAR8Pj8pKYnFYhmzaKzVtdm1l1wuv337tkQiuXjxokql2rBh\n",
       "Q3Z2dnNz83vvvZeRkbF48eIZM2ZMnDgxOzvb0dHx9OnTEJfNzLbXJGxubsaLujo6Ovbp08fV1dXD\n",
       "wyMmJsaw3G7cuPHll1927dp11apVuL/dzJkz9+7d++GHHzZWyKfab319G3r/4yTcaqw/3AdZrVZ7\n",
       "e3u391iAtAZocqi3wWO+rbfNTn9fffXV+fPnIyMji4uLd+/ePX369D59+ly4cGHhwoVnzpzx9fW9\n",
       "evUqDhDjx4+3dGE7KB6Pl5GRwePxGDVgSqlUlpaW4v8IX19fT09PpVIplUpxSvfu3b29vVtaWnJz\n",
       "c3FKcHCwj49PS0tLQUEBTunZs6ePj4+jo2NYWJipZocg26bt7Oy+/fZbpVJ54MCBtLQ0sVi8JPT0\n",
       "nAPobjW6efOmnrndvn27oaFBrVbj7nFOTk4GLKAFkNYALRQKEULJycnx8fGpqakd5xGf/urr68Vi\n",
       "8cmTJ1ks1rVr11asWDF27NimpqY7d+54eXlNnz79gw8+gJlaLU4kEolEIrzkFUJIIBAYP8+M8ahN\n",
       "w/imysHBISwsjHwVIeTo6Pjyyy9Tj3J0dNQYAGJnZ2eq6EytPz148AAhpFQqv//++zVr1ty6dau5\n",
       "efCtyosIobfeekt3Pri+jBDq0aOHo6Njh+0bZ0JaAnRKSgr+wPB80LZX+TVeRUVFcHAw/rffuHFj\n",
       "v379QkJCRowY8eeff0JNgWnINmihUMiE65nFYnXu3FkjEcc1S2GxWN9+++2iRYvCw8OXLl3a0NAg\n",
       "k8kmx4d1WzC8JfjrSZMmSaXSrl276m6jqKysLCsri46OtrOzg5kJTEXLZQH9cLVSKBQKhcLd3V2l\n",
       "UnXp0qWoqCg3N/fkyZObN28OCQm5ePEiOcAUMAp1oIrFozNj4f4thYWFly5dYrFY/X2anHKWTfjX\n",
       "b8jVDyHUt2/fF+ZQWVnJ4XCg1mxaWgJ0ampqh+qWpI/U1NTff//d3d29pqZGpVIFBgbeu3dvxIgR\n",
       "AQEBL7/88v/+9z+IzgyEL2MejwdxWTeCII4dO4YQGjt2rKOjY1Swl/0hPvrHXhyd9QRtGnTQEqBt\n",
       "vltSex07dqympiYnJ+fevXvjxo3r06fPo0ePZs+effPmzb1791q6dOAFMjIyjBx4Zdtyc3M9PT1n\n",
       "z55dW1sbGRnp5uZm7xmEZpxB9u1rprDJnloW91yAxoNTNJ5uddgLWqFQpKSk5ObmlpWVvf766yqV\n",
       "au3atXV1dXfv3r1w4YKbm9uwYcMsXUagS4e9dPW3YMEC3EP/4MGDXbp0CXKp6dYnGrHs2hudAU2e\n",
       "uyXB02UQz7NQwcxKpVJ9/PHHI0eOHDdunEgkmjJlyqhRo2JjY4OCgs6ePSsQCH7++edBgwbhGY6m\n",
       "TJni5uZWVFRkqmFaAFjK+vXrO3XqlJaWdvHixSGBT7rd+go5GtJbv6mp6f79+yYvHtDSxNHWxEY2\n",
       "bO3atV5eXtnZ2XV1dUFBQb/++uu4ceMGDRp09uzZkJAQoVDo5eX1+PHjP/74w87OTiwW5+bmVldX\n",
       "/9///Z+lCw6AUV577bWRI0cePnz47VE90MXV6B9ZqJO+s0JTlZeXU6ejA6aiJUDn5ORQWzlsuBIt\n",
       "FovxEIY///wTfydVVFRER0ffuXMHIdSlS5fs7OyYmJh9+/Z98cUXQ4cOHTJkSGBgYH19fU1NTWBg\n",
       "IHV2WgCsTnNz80cffVRUVDR37tzprwxEnbshRzcD8iEI4vHjx9AGTQctT12Nb+LAQwNYLBa5njdz\n",
       "puPYtm3bzJkz582bl5mZuX79+s2bN2/evLmysnLnzp0IIX9//5KSksrKyrFjxwYFBREEUVtb+/77\n",
       "71dXV0+dOhVPEN65c+devXpBdLYWfD7f+FW9bU9jY+Pvv/++Z88etn+nGTNm2HcJNSw6I4RaWloY\n",
       "tY6fLaHlISFjpxv96aefTp48uXbt2ocPH06ePHnDhg14XIlAIFiwYMGdO3euXbv26NGjzZs3T58+\n",
       "/fz58xs3buRwOO7u7sHBwZYuOzAQnp3R0qVglqqqquvXr8+aNWtk96raavRgwMiAAMPXEnRycsLr\n",
       "YQOTey5Akw8Jjc+XmdON7t69e9u2bR4eHoGBgYMHDz5y5AgewuDk5DR+/PiDBw+GhYUVFBTglbYX\n",
       "LlxozhUwAU0Mm/DLhuEhf1Kp9JVeVTMGoGmZKGfBA4MDtFqtVqvVlh0JacPoeluZOd2os7NzXV0d\n",
       "nlw8Ojp669at4eHhJSUlP/7446uvvvrbb78FBQXhPfHaaMA2dJBnKvooKyurqamJiorq1q1b2Ylv\n",
       "pv9U/Oo/phq2zCt29+5dT09PmOGAJloCtPFruOk/3eijR49+++03akpRURFex5cOKSkpb7311uLF\n",
       "ix8+fHj8+PEffvhh+fLlnp6eZ86cgdXHbRU0cZBu377d3Ny8fv36P/74Y+jQod/+VowQ+u233548\n",
       "eeLm1u4G6ObmZqlUSq5cBeigJUAbv4ab/tONqlQqjYV4O3XqZNp/p5aWloMHD9bU1EycODE+Pn7j\n",
       "xo0HDx5samoKCAjYunXrTz/9hFdxB7aKx+OR93OG0X+NTcZSq9UFBQVPnjxJSUkJV+ZM80NLv71A\n",
       "vlpYWDhw4MD25qlSqfA81CYtKXiOlgBNbbMzbOIk/S9of3//6dOnU1OOHj1qwkVjlUoll8sdPHiw\n",
       "n5/flClTRCKRq6vrhQsXWCzWp59+CrXmjsD4od6MfeitJ6VSmZ+f371792nTpo1xzendBfF2//1q\n",
       "bGxsu+ooeC3aXr16QWg2A+1rElIvaNx+167L2rIXdH19/ZUrV/z8/Pr373/48OHhw4d/+umnCKGo\n",
       "qKgpU6YMHTr0448/joqKMmeRgAXZ8ENvfTQ3N+fn5wcHB3t7e1+/dGbCaMTbjdQEWrFixbx5865e\n",
       "vTp27Nh2hVqVStXQ0EBfgQGVlgBt1Rf0zZs3586di2ew9fDwGDJkSM+ePcvKyj777LOHDx927dp1\n",
       "+/btZisMsBnMfOj9Qg0NDbdu3erXrx9uYv5h48+zZs1CCOXk5AwdOhQh1KNHDwsXEeikZaCKSTr2\n",
       "y+VyvCESiWbPnm14AdtpxYoVu3fvXrly5fbt21UqlZ2d3ccffzxr1qw333yzX79+5iwJYAhy2BR1\n",
       "5FS7aDzlzszMzMnJ0bpnbm7uwOft37//8ePHBhbdOLW1tTKZLCIiws3NDV35GpWeeOutt/DoMxyd\n",
       "DQPz8ZuT9iYOIyvRFlw0trq6GneVe/DggVQqvXLlSmpqqlgsTktLmzhx4vz5881TDMAc5nzoHRUV\n",
       "deXKFWpKZmamCZ+p6O/+/ft3794dMGBAp06d0On/Intn1GusSXJ2cHCATqhm84KHhIax4KKxgwYN\n",
       "ysjIuHPnzrlz5+rr6w8dOhQYGLhgwQLznB3YJKvrxXHr1i2xWPzf//532LBhh0VLOtk5ovhVli4U\n",
       "MIT2FRCsdO6C2tpagiBWrVq1b98+Ozu7r776CqYIAGKxmLyYDVshCD/0JggiKyvLsEYSc7p7965U\n",
       "Kl2yZIlSqTx16tTZP53RsM9NmL9UKjVhbkA3Wpo4zK+uru7bb789ffr0okWLvv76a+v6XgG0MskK\n",
       "QVbRi4MgCKlU2qlTJz8/P0SoP5uIvjxp4jGxKpWqqanJhBkC3bTUoHHHfvMXxTBNTU1ffvkll8vt\n",
       "37//8ePHJ0+eDNEZUJmk04WlHnrrT6lU3rx5s0uXLr179x486OUy0YhBw8YdPnG2d+/eJjxLXV2d\n",
       "p6chE0YDw7y4HzRja9NPnjyZNWvWsWPHevbs+d///ldjwAsAmPHzm1vwobeeqJ2dEUIoZ0W3l17r\n",
       "NnAxHeeChYTMia5+0LR6+vSpSCT68ccfvb2979275+Dg8K9//at79+7jxo2zdNEA45ikfcNSD731\n",
       "0dTUVFRU1Ldv37/n0xiyAjk403EumHbDzKxsmXSlUpmRkTF69GgXF5exY8euW7fOzc2tU6dOCxcu\n",
       "PHz4sKVLB5gFN25Y0bgSA9TW1hYVFXE4HDc3N6RSIOluhBBN0RlZQ+3NxjwXoMlLufWGxeHQPHz4\n",
       "cITQqVOneDxeQEBAcXExfrW4uBjuvICGiIgIFouFmzissVfSC1VUVNy9ezcyMtLZ2RmpFOjQG0il\n",
       "oO90lZWVsDKsmVnBNNsqlWrbtm2bNm2aOnXq8ePHyfu4+fPnv/baazKZTK1WSySS/fv3W7acgGlE\n",
       "IhEemc3kPssGKy8vr66ujoyMtLe3R4hAh95A7GkofCZ9Z6yuroah4WbG6ABNEMSvv/4qFAonT558\n",
       "6NAhd3d36qs+Pj4nTpw4ceIEi8VasmSJk5OTpcoJmMz2ojNBEHK5XK1W41sEhBBCLBSXhnzpnZ2x\n",
       "sbHRgGmjgTFoaYOmzn5g2BwIBEHs3r17+PDhxcXFEolk2bJlGtEZc3Z2njRpUkJCAkRn0EGo1eqi\n",
       "oqJOnTr17duXxWKhlkZUdwchRHd0Rgj16tWL7lMADc/VoKkdkoxprSOnG8W/yuVyai+lFyotLR07\n",
       "dmxsbOy+fftgKR0ASCqVqqCgwNvb+6+mhpYGtH8aGvRf5GmORY19fX3NcBZA9VyANuEjWuoCFqGh\n",
       "oe2a+L+8vPzw4cPwdQ0AVXNzc15eXlBQ0F+BsqUB7ZuKBn5gqlmQdFMoFHCfan60NHHk5ORQxyLK\n",
       "5fK2pmfUaujQoRCdgakIhUKhUIgn0RUKhZYujoGampry8vLYbPbf1dgnVWjIJ6j3RPMUQCaTKRQ0\n",
       "dhEBWtHykFAsFmsMtWprkhqFQlFWVkZNqa+vd3amqxcn6IBSUlIIgsATjbJYrOTkZEuXqN1qa2tv\n",
       "377N4XBcXFwQQkilQHYOyCMIeQSZrQxQg7YIWgK0/tPTFBcXf/vttxopgwcPpqNUoMOSy+WGra7J\n",
       "BBUVFWVlZZGRkX/FxyeP0P6piPsT8uitdX+1Wm1nZ+I7Y7z2hWnzBPqgJUDrP39uv379RCIRNcVS\n",
       "E5wDW8Xj8dhstlgs5vP5AoHA0sVpn/Ly8qqqqujoaHt7e4QQariHDkxHY9dpjc5NTU1vvPHG/v37\n",
       "Z8yY8fPPPzs4mOy/287OzrSTLgE90fKtaF3z5wLbJhKJCILgcrkikci62jdkMllDQ8OzoSgIIVR6\n",
       "cVfKPuKVt/57/fr11vsfOHAAD9fasWPHqVOnTFgSFosFk9hZBF0DVaxi/lzQEeD7ObxOUGJiopnX\n",
       "mDcMQRBFRUXOzs7Bwc/1n+N/feTw4fMIIbVaffz4cY2jAgICyG1/f39TFebJkycNDQ0wlYJF0NWu\n",
       "ZKr5czMyMuLi4kaOHMnj8Zqbm01UOtCBJCQkyGQyhJBIJMItb5ZVWlp648YNHTsolcrc3FwvL6+/\n",
       "o3PdHXQgCSGkUqnIfVofOHLkyO+//3769OmZmZmRkZHGF5UgiNLS0lu3bsEAQkuhpQZtqvlzr1y5\n",
       "cuLEiTNnztjb22/YsOGbb7756KOPTFpSAMxqz549r7/+OkJo/vz569evb72DZmdnhNCjm+jwO2jS\n",
       "LwihNWvW4GW509PTtea/YMECE67A+ejRIxaLFR0dbWOTTFkRWgK0qebPvXDhwrRp03AD3BtvvJGU\n",
       "lGSyIoIOg+z0mZGRYdiahCa0fft2vPHDDz+sW7dOI/A1NTUVFhay2WwPD4+/U699hxK2Im82Qigm\n",
       "JubYsWNmKy00a1gco7vOBAcHX716FW9fvnw5JCTEsuUB1gh3+sQs3gAdExODN8aPH68Rnevq6vLz\n",
       "88PDw5+LzgihVzagLv3MVkLAKIyezS4hIQHfEvr5+eXm5u7Zs8fSJQLWROuNuWWnnP/oo4/CwsIq\n",
       "KyvffPNNanpVVVVJSUl0dPTfg0Ee5aF751AU3wKlBIzB6ADNYrE2b958586dxsbG8PBwsrMRAPpg\n",
       "4PIfLBar9eKZmp2dEUL3zqMzy9Dk3eYuH2AYJgbo7OzslpYWjcR2zeahp/v37+fm5rq6upo8Z31U\n",
       "V1dbaoU3hUKhUCi0zuBqBk1NTRMmTCB/vXz5Mnnjb1p4eJRGPdr8UVvr9Uzy8fFxdHR88ODBhQsX\n",
       "qqqqrly54u9hlxJ8+ru7I+oOLjFVGRoaGpycnOgYq11bW+vp6UnHU0T6/kFoylmtVnt4eDx8+NCE\n",
       "1zPjAjSXyzVbxLx8+XJ9fX1QkPkmNKDKzs7GD/TN7+7du48ePdLoY2s2v/322z//+U/yX3rmzJkj\n",
       "R46k40R48Kpl69G6r2dXV1c7O7uGhga8GrdUKq2oqAgKGvRj7ZtOXsiET+hKS0u9vb0DAwNNl+Vf\n",
       "rl+/PmTIEM12c1Og7x+Eppxra2v/+OOPxYsXm/J6JjqwrVu3ZmRkWOrso0aNstSpJRLJF198Yamz\n",
       "jxkzRqVSme10cXFxWrcZiL7PZe3atQcOHKAj5zlz5ty5c4eOnOn7B6EpZ6lUOm/ePNPmyeheHAAY\n",
       "A08xSl001tIlAqB9IEADm4Vn4aDWmm1vfUJg2yBAAxsHQRlYLwjQwMbhhg5o5QDWiEUwr6+o2VRX\n",
       "V6vVaksthSmVSsPCwixy6vr6+oaGhm7dulnk7Gb+w/FaKmY7nTHo+1zu37/v5uZGR18LuVweEhJC\n",
       "x3T+9F0nNOWsVCpLSkr69Oljwjyt5toFwDBtLRYBAPNBgAY2zuIDVQAwGARoAABgKHhICAAADAUB\n",
       "Gtg46MUBrBcEaGDj8Gh+PFwFr0wIgLWAAA06kLy8PEsXAYB2gAANbJxAIODz+UlJSSwWKyIiwtLF\n",
       "AaA9TDv3EvPFxcXhP5ycoqF1ijnPjgkEAoFAYOZTCwQCnMLj8Wg9tdazk60NMpmM7rMzGX3vDH2X\n",
       "On2XMU1XKX1vMpmPWCw2bc5Yx6pBSySSiIgI/JdHRERIJJLWKeY8O5mekpJC33m1nloikRQUFOAU\n",
       "vIOZz56Xl0cQhFgsnj17Nn2nZjj63hn6LnX6LmOarlJa32T0rI6bkJCAU0x7YTNuwn5acblcctlQ\n",
       "DoejNcWcZ0cIyeXy9PR0sVgslUrNeWp8Otyrgcfj0bqaauuz42W2MbqbHZg8UEXr54JXr+dyufh/\n",
       "3lQ5m+pSp+8ypukqpe/yo+aMmerjI3WsGjQJfzNT39zWKeY5O5vNNudAZPLUBQUF6NmXP4fDobUG\n",
       "3frsoaGhqampLBYrPT1dJBLRelLqDSNje3FQLwlymgjyxtxUObeVYnzOpr2MabpKabr8cD9OsinG\n",
       "tB9fx6pBY3w+HyFE/WBap5jn7EKhED1fxUtOTjbPqTkcDnklhYWFSaVSur+cNP5wfOsql8vNOZlR\n",
       "RkaGeT7ldtG4/MjPwvh1OOm71Om7jGm6Sum7/EQikUgkEgqF+H0w4ceHUId8SEg257eVYs6zY2Kx\n",
       "2AwPCamnFovF5FMXgUBA9zugcXbq0yS6L0Lq1W6Gx6Ht1fpzwQ+yyA1T5aw1xVQ5Y8ZfxjRdpTRd\n",
       "ftS/F+dpwo/vr+IZn4UV0bjDFQgErVPMeXbyJboDtNZTkzdldH83aD07eQNotm9HBtL6zpikGwB9\n",
       "lzp9lzFNVymtlx+ZOflFYtpeHDBZEgAAMFQHfUgIOgjqRBwSiUQoFJrncSgAJgEBGtgs/FyIvFvM\n",
       "ysoyW0cdAEwCmjiAzdJ4QB8fH5+TkwMXPLAiEKCBzWrdg8qK1icEAEETB7BhPB4Pt3JgfD6fsQNV\n",
       "ANAKAjSwWSKRiMPhkA8JORwOA0epAKAD3PEBAABDQQ0aAAAYCgI0AAAwFARoAABgKAjQAADAUBCg\n",
       "AQCAoSBAAwAAQ0GABgAAhoIADQAADAUBWju8Fg5ewwaTSCQsFksul+s+kM/nt7WPxuqlZCLJmAKj\n",
       "ZysPUU9kfJ7WKz4+Hr+r8fHx+u9DnZ5U43PU8dILT6r1gzAsQx1/l2EZkkdpTMQqFAqpFyf1f8HM\n",
       "JcRav4fGl1DjEIMzJA9vfYg+1yGGYw6VRCKBAN2muLi4Xbt2kb9mZWWZZBVIKhaLRS67IBAItP4b\n",
       "648sLYwOlUgkERER+I2NiIjQOge01n3y8vLITyQ0NJS6v46XdGSIv9e1FtKADHX/XYZliJ7NyKqx\n",
       "CnVycjI5UyuPx9O6zKAZSqjjPTSshEKhkEwpKCigltCwDMn0lJQUPXdui8YqWVwuFwK0LklJSfg9\n",
       "lcvl1JXqyYoAORcPmdJ6n7a+hyUSiUAgIC/T5ORkHo8nkUjkcjk1W1zR0DijXC7X+Gbm8/k5OTn4\n",
       "1dZXs0Zh8BXfutJkM7hcLjntBvWD02cfNptN/WSpdLzUVoZSqZSgLLBkZIYv/LuMybAtfD5/6dKl\n",
       "liohetF72N4SahRMKpUan6FcLk9PTxeLxfrs3C4QoHWZNGlSVlYWQujQoUOTJk3CidRKB/6VmpKR\n",
       "kaF1n9aZS6VScsVijMPhaL1ccIzGueXl5ZH3hmT+crlcJBLFxcVp/WdrXZisrCxckWGz2Qa9MVZD\n",
       "IpG8cJJ+ch+JRIInjCYIgsPhUD81zlbJCAAAIABJREFUHS/pPmlb61sbnKGOFIMzxN/f5Op/Gnsi\n",
       "hLTWds1WQt1rhLe3hMnJybt27dKoThmTIUKIzWafO3dOz511yMnJoTZxIAjQuoWGhubl5SGECgoK\n",
       "yA9MKpUmJibi7cTERKlUSk3BE1pKpdKMjAz8LqekpGgNu3gZ+daJWotBzspGruUeERGhsdGW1oVZ\n",
       "unQprsgcOnRIj7fBWvH5/KysLN01ROo+XC6XeNY6pPHp6HjJgJMamaHWUxiToUgkwse2vtvLyspq\n",
       "qy5pzhLqYEAJz507R35PGJ8hftNYLFZCQkJKSkrr91D/P0ejiQNBgH6hpKQkoVBI/SDDwsJwtRoh\n",
       "lJWVFRYWRk3BAT0sLIy6CLHWKgCXy01JScFf17i1gfyOxZkghHB9HH/kOCsD2sFbFyY0NJQgCJlM\n",
       "Rm1ktzHx8fGJiYm6/ys09sENlHhb4/5Gx0vtPamRGbZ1CsMypB6lVV5enu66JN0lfKH2llAikZAN\n",
       "LCkpKeSdscEZki3XeFFzjX/29v45mgigjUwmw99mMpkMPVtBPS4uDm/oWGu99T7o2dLuWt9tjY8D\n",
       "Z0hGYR6PJ5PJcBnIFLFYLJPJqKfGZ0TPvoERpUFDo3i4MOSvRq45z0D4HdCYmB9/P2lUT7TuQyaS\n",
       "X2nkUTpe0pFh6z2NyVD332VYCVtfzORR1MvMgiXU8R4aUEJqInn9G5khhgM09Sh9rkMS9d+c3B8C\n",
       "NOgo2vrHgAwhQ8ZmCBP2AwAAQ0EbNAAAMBQEaAAAYCgI0AAAwFAQoAEAgKEgQAMAAENBgAYAAIaC\n",
       "AA0AAAwFARoAABgKAjQAADAUBGgAAGAoCNAAAMBQEKABAIChIEADAABDQYAGAACGggANAAAMBQEa\n",
       "AAAYCgI0AAAwFARoAABgKAjQAADAUBCgAQCAoSBAAwAAQ0GABgAAhoIADQAADAUBGgAAGAoCNAAA\n",
       "MBQEaAAAYCgI0AAAwFAQoAEAgKEgQAMAAENBgAYAAIaCAA0AAAwFARoAABgKAjQAADAUBGgAAGAo\n",
       "CNAAAMBQEKABAIChIEADAABDQYAGAACGggANAAAMBQEaAAAYCgI0AAAwFARoAABgKAjQAADAUBCg\n",
       "AQCAoSBAAwAAQ0GABgAAhoIADQAADAUBGgAAGAoCNAAAMBQEaAAAYCgI0AAAwFAQoAEAgKEgQAMA\n",
       "AENBgAYAAIaCAA0AAAwFARoAABgKAjQAADAUBGgAAGAoCNAAAMBQEKABAIChIEADAABDQYAGAACG\n",
       "crB0ATSVlZVt27bN0qUA5mNnZzd37lwfHx9LF4QWcD13NKa9nhkXoE+cOPHo0aMJEyZYuiDATHbs\n",
       "2HHlyhVb/cTheu5oTHs9My5AI4Q4HM64ceMsXQpgJpcvX7Z0EegF13OHYtrrGdqgAQCAoZhYg7Z5\n",
       "T58+JQjCxcXF0gUBJlZXV3f06FFqytmzZ8PCwixVHkArgiCqqqo8PDycnJxoOgUEaLO6cuXKRx99\n",
       "hBBSqVSurq5paWkxMTGWLhQwmdra2uLiYmpKbm5uXV2dpcoDaHX79u0///yzf//+fn5+NJ2ClgAt\n",
       "kUgSEhKoKWKxmMvl0nEuKyIQCE6cOLFly5bAwECEUElJCY/Hmz179syZMy1dNGAaQUFBy5Yto6bI\n",
       "5XK1Wm2p8gBaBQQEeHt709oBiZYAnZ6eLpPJQkND8a9yuZzNZhMEQce5rMW6desKCwuzsrLs7e1x\n",
       "SlBQ0P79+5OSknx8fOApPwDM19LS4uDgwGKx8K/u7u7u7u60npGuJg4yOuPtuLg4mk5kFY4cOXLq\n",
       "1KmdO3fa2T33VLZTp05bt25NSEh46aWX6LtLAgAYqbm5+c6dOw8ePOjbt2+3bt3Mdl5aenHk5OTI\n",
       "5XLyV7lcnpOTQ8eJrMLDhw9XrFixceNGjeiMde7cefXq1YsWLTJPYeRyOet5EomkvZmQNQgdKfof\n",
       "CwCTKZXK4uLiixcvPnz4MDAw0MwVKVoCtFgsZrPZZAhgs9lisZiOE1mFlJSUr7/+2tPTs60dhg8f\n",
       "ThDE+fPnzVOeuLg4gsKAZwOtW6s6ePsVsFVlZWUXLlwoKSnx9fUdPHgwm80mmyjNg5YAzeVyied1\n",
       "2CeER44c8fLyGj58uO7dVq9e/dlnn5mnSK3J5XI+n4+/TYVCId6Oj4/XeInP5+P9cS1YKBTGx8fj\n",
       "bbJeLBQK8c748NbHAmAtmpqaZDKZu7v7wIEDORyOs7Oz+ctAby8OsvNGfHz8uXPn6DgXkymVyrS0\n",
       "tEOHDr1wz969ewcGBubk5Gg01m/atEkmk7X3vP369ZszZ05br+bk5FDbGXDlNyMjA2+wWCyxWCwS\n",
       "ifh8vkQiYbPZ5Es4hfpdGxERQf1Y5XL5rl278M5CofD9998n84+Pj5fL5dQnEwAwnKura3x8PH19\n",
       "nPVBby8OXG/qsNXnDz440avXSm9vb4RQSwsKCkJvv43S05GDtnd98eLFqampGgE6JiYmKCioveft\n",
       "2rWrjlfj4uJaf1nyeDzyVY3Pi3wpMTFRKpVSX+VwONQ9ZTJZUlIS3k5OTkbPKtTtLT8AFvH06dMn\n",
       "T57gf1jMstEZ0d2LA1fE2Gw2TWdhsu++U65fH793718fsKMjEovRzJno0iW0fz9q3TmnX79+LS0t\n",
       "paWlvXr1IhNfeuklsxW4LRkZGSKRCCGUlZWVmJioY082m52eno5DM76LEggEZA3aPKUFwAAtLS0l\n",
       "JSXl5eUuLi6xsbGWLs7f6ArQ5P2sSCTS8c9ZUlLyww8/UFMuXbo0aNAgmkplNvv2oWXL1MnJByZP\n",
       "foNMHDAAXbmCJk9GU6eigwdR6+/mefPmbdiwge7GaI0mDoFAMGnSJB3783g8vD+Px9N9MxQaGpqU\n",
       "lERmLpPJ2Gx2SkoKPpbaNR4AhlAqlTg0EwTRq1cvavWICWgJ0JmZmdSRKfhXrXt6eXlpTPSVm5tb\n",
       "Xl5OR6nMprgYzZ6NevT4fNWq/2q85OqKfvsNTZ6Mzp9HI0dqHsjlclevXp2Wlqa1Q55JhIaGau1x\n",
       "gevICCGy9QOn4O6SGofgX3FNmZqCE7Wm60gBwFJqamqKioqePn3q6+vbp08fV1dXS5dIEy0BWiMK\n",
       "tBUUEEKenp4aAXrnzp3WPjS2sRFNn37Tz0/p5ubW+lVPT3T6tPYD7e3tR40aderUqTFjxtBbRAAA\n",
       "QpWVlY6Ojv369aO2OzOKmaYb7VBNkJGR6N695e+9954Bx86cOfPnn382eZEMFhoaSlauAbAxYWFh\n",
       "AwcOZGx0RmYL0B2qj51UKvXw8HjheFClEuXnayZGRETcvn1boVDQVTgAOiqVSlVWVtbU1GTpgrQD\n",
       "TNhvSleuoIKCv/quvHDnigoUG4tyczXTx4wZc/z4cVrKBwwikUg0hsV3qDtCG0AQxP379y9evCiX\n",
       "y588eWLp4rQDLQGavKCNmfDBGvF46MwZ1fnz50e2fgLYSvfu6L33UOtJOF5//fVff/2VlvI9m4tD\n",
       "KBSSKfjDos6dohWfz29rH316Ous4nPlwv36CILKysjrIlWxLamtrr169WlRU5OrqOnDgQOtanpiW\n",
       "AE1e0JhMJtOYHtomHT6MysqQt7eYy+XqOTrjo4/QH3+gY8eeS4yIiCgsLFSpVLSUEqG4uLhdu3aR\n",
       "v2ZlZXXwuQb1QfYZzcrKst5vmo6GIIj8/Pzr16+3tLREREQMGDCA7tlBTY7G7lzU7Y4QAtatQ3w+\n",
       "2r37p1mzZul5iKcnWrQIte73PGTIkIsXL5q4fBRJSUm4JiiXy6mjAVtPnUGmtN6HWg1v66XWh1sp\n",
       "MiiLRKLZs2dbtjBAT0qlsrGxMTg4ePDgwbqH1zIWLd3s8HSj1An7bX660fJydPQo+uKL+sWLH/fu\n",
       "3Vv/A1NSUOtehZMmTRKLxUOHxr39Nnrw4O/0BQsQHspHEKitl/QxadKktWvXcrncQ4cOTZo0CVeo\n",
       "ccimTruBdybn6Fi6dCl1H6FQSJ2ao/VLrQ/Xt3wMo3+//nv37h08eJCaUlRUhBfQAebn6OjIqGGB\n",
       "BqAlQOPpRjVS6DgRc7S0oGXL0NWrv02ePLldB7q7oxUrNBNHjBiRnp7OYqHJk1Ft7d/p/fr9taHj\n",
       "JX2Ehobm5eUhhAoKCshxJVKplBzJjafdwBs4Bc/IIZVKMzIyMjIycKJAICADdOuXWh9upfTv1+/k\n",
       "5KTRZ6tTp070DTsCGurq6urq6pg2GtAYtARoPN0oHTkzVu/eaNUq9Oqruzdu3Gh8bk5OTp6enhUV\n",
       "FUlJbc4O/mxWIgMlJSUJhUJq+0ZYWFhWVhYOuOS0G2QKDuhhYWECgYA6VpB6uMZLEolE43ArhecV\n",
       "iYuLi4iIwN9AbQ1b9/X1nT59OjXl6NGj1j7wyiooFIrbt28/ePDAxcWlR48eNvOlaCN/BhPU1tY2\n",
       "NzcHBAQYdviZM8/9OmbMmJMnT5qgWG2YNGlSSkoKdRYOHEnJJmMul6uRghMLCgq0ds5p/VLrw61U\n",
       "eno6QRBJSUl5eXn4uTc0QzOHWq2+c+fOhQsXKioqevfuPWjQIJuJzggCtEngnu8HDx589dVXDcvh\n",
       "8WM0bhy6c+fvlPHjx9PRGzo0NBQPGsL36bgaeO7cObKXAg5A5OhBMqX1PuQ6DOTdUuuXWh9uvcLC\n",
       "wpKMvG0BptbY2HjlypW7d+96eXkNGjQoODjYzCue0A0CtLFaWlBICCorQ/v379c9G6cOHh5o0iS0\n",
       "bt3fKRwOp6CgwDRFBEaTy+VcLldr2w6woPr6ehaLFR0dHRUVxcCpjoxH13SjHcfhw8jFBfn4PL13\n",
       "754Bk+uTPvgAJSSgFSuQh8dfKcHBwXfv3m1XnxBAB41eHCwWy4BlbgAdAgICDG5UtApQgzbWnj1o\n",
       "6lR09uyZ0aNHG5PPsGGoTx+0bdvfKWPGjMnOzja2fB0YSxsD8tHotkE2DQHzq6ioqKurs3QpzAcC\n",
       "tFGUSnTwIJo6FYnFYoMboEkffoioE7mMGDHi1KlTRubZkRHaWLpQwEANDQ3Xrl3Lz8+vrKy0dFnM\n",
       "B5o4jFJQgOzt0ZAhaNmyy998842RuWk8ggoNDcWdkQHoyJRKZXFx8b179xwdHfv27fvCeSJtCQRo\n",
       "o0REoJs30Z078pCQEDo69wQGBpaXl8NQNGPgXsx4pExiYmKHXcLYSlVUVEilUqVS2aNHj969ezto\n",
       "XXHZdkETh1Hs7JCfHzp8+PDEiRPpyH/YsGE2P0qebgkJCfiZnkgk6giTdtmYsrKyzp07x8bGhoaG\n",
       "drTojCBAm8Tx48dNuEjVwoXo//2/v7bj4uLOnj1rqpwBsDoxMTHR0dE22YVOHxCgDXfiBMrLQwqF\n",
       "orq62oR9fQYPRuvXI/w0Kzo6+vr166bKuWPCM8NkZGSwWCybnxPG2hEEUVVVRd9cu6alUChOnz5N\n",
       "a2k73C2DCX3yCfrXv1BNzcUhQ4aYMNtp09DChej0aTRyJHJ0dHRycmpsbNS6/izQRwecGcZKPX78\n",
       "WCqV1tfXR0VFMXla/du3bx85cuTEiRPNzc0jRoygdS5lCNAGevQIXbqEdu1CGzYc11iY3EjOzmjW\n",
       "LLRpE8KrssTGxl67dm348OEmPEWHgseVQM9lJmtpaSkuLr5//76jo2N4eDgDo3NNTc2BAwcOHjxY\n",
       "WVk5ePDgcePGvfPOOy4uLnSf18IBmjrdJVZYWDho0CBLlUd/R4+i/v1Rjx7o7Nmzy5YtM23m77yD\n",
       "xo//a3vIkCHnz5+HAG0wgiDi4+NzcnJ4PB6sUM5ADx48kMvlSqUyMDAwODiYUU8Cc3NzcWWZIIgx\n",
       "Y8Z8/PHH0dHR5iyAhd8LDodz7PkVn+bNm2cV0zOKxSghATU0NNjb25v8CUZ0NLp586/t2NjYLVu2\n",
       "mDb/jgbPD4VXX4TmDkZRKBSFhYVeXl5hYWEMacd7+vTpyZMnDxw4cOXKlaioKC6Xy+PxPD09LVIY\n",
       "Bn1ZWRcvL/T66+js2bPDhg2jI39//782AgICHj58SMcpOg4+n5+RkcHj8SA6M42Tk9PQoUOdnZ0t\n",
       "XRAklUr37t0rkUhcXFwmTpy4ZMmSkJAQSxdKW4DGD7uhP79u33+PEEJLl54weAY7/fXs2ROGqxgM\n",
       "X8/QuMEcLS0tjo6O5K8WjM5KpfLUqVMHDhw4ffp0ZGTk5MmTf/31V19fX0uVpzUtAZogCD6fj5eQ\n",
       "wPeGoC2XLl36/PPPacq8sBBdu4befBPFxsZevnwZArRhzFlrLikp+eGHH6gply9fbmsBww7oyZMn\n",
       "Uqm0pqZm2LBhFmxrbmlp+f333/ft24cbMV599dXVq1czpIFFg/b3SCQSiUQiuVyOZ/+CCrVWdXV1\n",
       "rq6uTk5ONOV//z5atAhNn44GDhx4+PBhM1TVbZI5h3r7+PhoLHl169YtMzzrZ5StW7du377d3d19\n",
       "yZIl5JqtarW6tLS0pKTEzs4uLCzMItFZoVCcOHFi9+7dUql0xIgRc+bM+f777xm+/Ir2twm32cXF\n",
       "xeHaR3x8PARoUmMjmjgRnTqFzpw5Q2vnilGjkLs7OnAAvfJKzOrVq+k7kW3DQ73Xrl0rEonofkjo\n",
       "7u7+8ssvU1N8fX2t4qG3qezYsePEiRO//PLLo0eP5s6du3nz5j59+lRWVspkMoVCYZF+Gs3NzceO\n",
       "HduzZ8/9+/dHjx69bNmyvn37mrMAxmizDZraZgcNHVRnzqA//0T29ujUqVNTp06l70R2dmjOHLRp\n",
       "E5o2rXNDQwNBENa+uB+weXv27Pnuu+88PT09PT3fffddsVj8/9s787imrvThPyEQQNnEBUSBqgEB\n",
       "tSruUhVQqrhSrbZOdWiZSjqtCm6tFTpawLeotYVaO5LOTEWtQ62O/FokrUBBC3EFlSJICAKyKIjs\n",
       "kIWQ+/5x2tuYxJg9N3C+f/gxh5tznntz7nOf+5znPM8bb7xRUlIyaNCgyZMny5U8NygikejixYtn\n",
       "z55tamoKCQnZt2+fLvU0TIUSBT137lzSXg4ICMDaWY6cHEAbU27evPnJJ58YdKzwcEhIgIYGYDKZ\n",
       "lZWVeLeFFqCt3gDAZrPxVm9DY29v39LSgjKCPnnyxMHBwd7e3s/Pb/jw4cZxJvT19eXk5KSlpTU0\n",
       "NCxevDghIcHd3d0I4xqIpxQ08mwAAGmpGXQXo5mSnQ0ffAAdHR02Njayi9GGwNMTPvsMBg+G6dOn\n",
       "FxUVYQWtBXirtzGJjo6OiIjYtm1bc3Pzt99+m5WVZWVl5UIGjRoMiUTC4XDOnj375MmTkJCQ+Pj4\n",
       "/rGo/tQzDdVgRq5nshizqSSjJs3N8NtvEBwMBQUFAQEBRhhx82ZwdIRp06bdvHnTCMP1b4zzkw1k\n",
       "/Pz8EhMTb926xWAwsrKy7OzsDDocQRD5+fksFis0NPT+/ftxcXEZGRlRUVH9QzuDnAWNHBpcLlfW\n",
       "14mtD1kcHIDNhhEjIC8vT/caV+ozefLkffv2GW04DEYLGhsbUejXe++95+HhYdCx8vPzv//++99+\n",
       "+23+/Plbt26dMGGCQYczFU8paGQvY42sAgYDIiIAAK5fvx4XF2e0cZuaBguFQrxOiKEmnZ2d5eXl\n",
       "nZ2dzs7O3t7ehossfPToUVpaWmZmpoeHx/r16z/77DM6nW6gsagA3uqtDZ2dnQwGw9ra2jjDPXwI\n",
       "L74IYWGT8DohhoI0NTWVlZXR6XQfHx8DFQzs7u4+f/58WlqahYXFhg0bfvjhByrsDjcCShR0cnIy\n",
       "AJSWlrLZ7KSkJLlscwOZvj7o6IAhQ+Dq1av6zQGtmpEjYfx4EIvX3L59Gyto9cFvG8aBIIiRI0eO\n",
       "GTNG72vmaBnsm2++KSkpWbNmDZvNdnNz0+8QFEeJgo6Ojkav0uhfrKBJTpyACxfg7Fm4fPlyYGCg\n",
       "MYd++2344ouZ48b9v1dffdWY45o12FlnHFxcXPQep1FXV3fixInz589PmzZt06ZNxrSHKIXyyEQ+\n",
       "n69LgB3K6ygLh8PRujfq8NNPgJLBXrlyZc6cOcYcesMGePBg8OXLncYcFINRhCCI+vr61tZWQ3Te\n",
       "19f3448/rly5MiIiwtPT8/Lly8eOHRuw2hmUWtCRkZFeXl6ZmZksFispKUmLThMSEmRrWPD5fC8v\n",
       "L3M3ZwgCLl2CzZtBKBRKpVIjV7G0s4ONG2m5uXqrfIjBaEFHR0d5eXlXV9eYMWP0uy3w7t27X3zx\n",
       "xc2bN9etW3fs2LGB5sp4FkoUNMqUBAC65N+QdZUymcx+sOGluBgEApgzB/LzjeqAJvnnP+H1139r\n",
       "aGjAcxdjfPr6+u7fv19fX29tbT1p0iR95eQUCAQnT548fvz46NGjIyMj//nPf1I8e5GRUXItWCyW\n",
       "rHdCi065XC6fzyc/8vl8LpervYzU4NYtmDMHLC3h0qVLRnZAk0ydOhUX+cYYn9bW1mvXrtXX148e\n",
       "PXrmzJl60c4lJSUsFmvx4sUAcOHChTNnzixatAhrZzmUXA42m03IoEWnKPsBqeKRw0RnUU3MmjVw\n",
       "/DgAwNWrV021Ic3f37+oqMgkQ5svuhscaE2FxWIlJyejTmTtj4FATU2NlZWVv78/k8nUMe5YKpVm\n",
       "ZGSEhYXFx8evXr06Ly8vMjLSmEmUzAvlyZJ07LRfZj+wtwd7exCJRBKJxFS5vf39/d98027tWvDx\n",
       "Mcn4ZgkyOHTpISEhgSCI5OTk0tJSMgHvQMiC0NXVtXfv3qKiIhcXl7i4OAcHB1166+7uTk1NPX36\n",
       "9MKFC1NSUoyQoKMfoERB463eKrh+/TqZg9z4DB06tLe3h82Gzz4zlQjmh77WP7y9vfXSj1kgEokY\n",
       "DMbWrVuDg4MPHz7822+/hYeH5+Xlabc56969e59//vn9+/cjIyNzc3MNnWKsP6G85JWOnSp9kTRr\n",
       "RX/nDjg5gacn5OXlGTRJ/3Px8clNTQ3ev582wMp0aI++DA4ej1daWqonoaiLVCqtrq5+8ODBuHHj\n",
       "Kioq/vOf/wDApEmTZs2aVVJSIleO4LlkZ2cfPXrU2tp68+bNBiqv3L8xyFbvioqK8PBwdd4B+/r6\n",
       "ampqZFs6OzuNHMGmDjt3wpo18M47kJ+fv337dhNKsmgRo7a2+8wZu/BwE0phTuhuGcTGxtJotMjI\n",
       "SD8/P6TrKyoqlB6JTEXZlvz8fF9fXx0FMBqtra3l5eUCgWDkyJEjR46k0WhCoRBtqq6trR0xYoSa\n",
       "/QiFwhMnTpw8edLf3//w4cNUKI9tpihR0LrXcGMymevWreNwOM/9Lo/Hkwu1vnPnDtUmtEAA+fmQ\n",
       "lAQCgcCEDmjE1KlTi4qunDoVghW0mujuL5ZdU1G9sXbs2LEffPCBbEt7e7tZZI0QiUTl5eVPnjyx\n",
       "t7efPn26vb09AGzdunXZsmWrV68uKipyc3NTJ/N9c3Pzl19+iQqpXLhwQUe3NUaJgtZLDTc1N4j7\n",
       "+vrK1tYCgE2bNlGthltBATg7g58f/PIL18gbCBXx9/c/derD+PgQ04phRuju4kAmC8hUT36W0mcw\n",
       "GHLWor29PdXms1Lu3LkjEAheeOEFT09PMtbt1Vdf9ff3v337NovFeu7Sy927dw8cOPDgwYP33nsv\n",
       "JiYGO5r1As5m93wuXoTFi4FGg5ycnJAQE2vGUaNGPXxYPWmSaaUwJ3R3cZA7Y1ksFui2gYuyeHp6\n",
       "2tvbK3oXx44dq9pBQRBERkbG0aNHHR0dt2zZgh3N+kVJHDSKYmaz2ah6rF6GMetKFmIxhIUBAHC5\n",
       "XCpsiXRwcOjo6DC1FAMLtDM2JSUlPT29XwZBu7i4aLr209PTk5ycPG3atOzs7K+++uq7777D2lnv\n",
       "KLGgDRHFbNZBo8hJ3traOmjQIKPlgFbBlClTCgsLR40K4vNh6VJTS0N55GKKtJvbfD6f1NFmbW0g\n",
       "enp6qqqqPDw8kK9ZU+rr648cOZKdnb1x48a8vDzsaDYc2MWhLrm5uUFBQaaWAgB+LyArEAS9/TZU\n",
       "VQEFHhmURlYjIx+FpqSmpspm+0If9SOc0SEI4sGDB9XV1VZWVpaWGt/+1dXVBw8evHnzZmRk5L59\n",
       "+8xi/VMRqVRKEITslkiCIB49etTb29vb2yuVSqVSqUQisbCwYDKZpDNdLBbfunVLLBajHtDSgoWF\n",
       "xcyZMw1XQUb+FwoICCDzZsydO1c7y5dcVCEhV1fMl4sXL/797383tRQAANOmTfv++++3bwcnJzh1\n",
       "Cv72N1MLZD6w2Wy5RWl1YDKZslpe7qMZ0dbWdu/ePaFQ6O7u/sILL2i0abumpmb//v2lpaW7d+8+\n",
       "evSoGRVDkEqlFRUVAoEAbQOWSCRSqZRGo82YMYOMyBKLxTweD+lcS0tLS0tLOp3OYDBkf2g6ne7s\n",
       "7EzqZbSUamVlZdCnlHzR2NjYWFKTcjgc7UKU+lO60bfegi+/hMGDobi4+MUXXzS1OAAA7u7utbW1\n",
       "NBq8+y58+SVW0M9BVpWg4NGBSVVVVU1NDYPBmDRp0tChQ9X/Io/Hi42NbWtr+8c//kFBL3Nzc3N3\n",
       "d7dIJBKJREKhUCQS9fX1+fv7k96bvr6+np4egiBsbW0ZDIaVlRWDwWAwGLI+d2tra3RqKh5adDrd\n",
       "+G9O8ha0rJ0bGhqakJCgXb/9I93ovXvw3//CkSNQWVk5btw46lgNaJ3wzTcdPvoILl2CBQtMLRCF\n",
       "MVPLQL8QBPHw4UNXV1cmk6m+Z4MiqlkikXR3dwsEAqFQKBaLPTw8SKO1r6/v7t27BEGgGqG2trZO\n",
       "Tk62trayytfKymrq1KnPHYWaxWcN4oNG6UZlLWgzTTd68SIEBICdHXzzTeaSJUtMLc6foLR2gYGB\n",
       "//43GKZKZ/9B9i1wgCQ5UoRGo2lkJFVUVMTExLS3t3/00UcmVM2lpaWtra3I7QsANBrNxsbG1dWV\n",
       "VNB0On3evHla5ymkPk8paLmQfq1BgXpyLbp3a3w4nN/DJH766afU1FRTi/MnM2bMuHHjRmBg4OrV\n",
       "phaFwrBYLDabDTJeDjN9k9MOgUBgY2Oj6R1dUVERHx//+PHjmJgY46hmsVjc1dXV2dnZ3d3t5ubm\n",
       "5ORE/sna2nrYsGGDBg0aPHgfUEUUAAAer0lEQVQwiqFSPJ3+nUL6KQWtr5fB/pFuVCSCX3+FAwcA\n",
       "ebj0VUJCL0yfPv3EiROmloLqoNpAA9Bq7u3t5fP5jx49mjJlivqplvl8flxcXHNz8549e4ygmpua\n",
       "mh49etTV1SUSiVCLra2tXLqPcePGGVoMioPD7J6JpSVs2QKTJsEPP2QvWrTI1OI8xciRIxsaGsiP\n",
       "paUwbBioncpmYDHQtPPjx495PF5vb6+np6esNaoCPp8fHx/f2dm5fft2A6lmFDgha/+2tbV1d3c7\n",
       "ODjY29vb29s7ODhoEfbX78FX5JnQ6fDJJwAAGRkZ0dHRphZHHldX18bGRpT1nM2G9nb45htTy0RJ\n",
       "dE/+ZS4IhcLy8vKWlhYnJycfHx91gnMrKyvj4uK6urq2b9+u9w04BEF0dXW1tra2tra2t7c7ODhM\n",
       "mTKF/OuAyq+tNVhBPwepVFpaWjphwgRTCyLPrFmzrl+/vmLFCgDYsgUmTIA9e8Bs908YEL0k/6I+\n",
       "fX19hYWFEolk7NixHh4ez3U9t7a27t+//9atW++//z4qDKhHhEJhZWVla2trb28vAAwaNMjV1dXV\n",
       "Fdek1xisoJUjlYJYDDY2VMm/ocisWbMuXryIFPS4cbB2LRw4AP/6l6nFwpgICwsLd3d3tKSm+kih\n",
       "UJiYmJiVlfXxxx9/+umnhhBGKBR2d3c7Ozs7OzsPGTKECgkSzJT+vACqC2w2bN4MAHD+/Pk1a9aY\n",
       "WhwlTJs27fr16+THvXvh22+hvNyEElEUQyT/oiA0Gs3Dw0O1dpZKpWw2e968eWPHjv311191XFkh\n",
       "CKKjo6O6uvrWrVtcLlcgEJB/cnJymjlzpp+fn6urK9bOuoAtaOWcOQMrVwJBEFeuXDGQlaEjdnZ2\n",
       "QqFQIpGgpRUmEz79FCgZa29i+kdMkSISiaShocHV1ZXBYKhz/OXLl2NjY4ODg/Py8nQsOtHY2NjU\n",
       "1NTW1iaRSGg0moODg5ubG1bEhgAraCU8fgy//grffAMFBQUzZsygbAz81KlTi4uL/f390cf33jOt\n",
       "OBjj0d7eXlZWJhQKHR0dn6ug+Xz+zp07XVxcTp8+PXr0aN1Hr6qqIghixIgRyIOBoy8MB76ySrhw\n",
       "ASZNAk9POHQo7Y033jC1OM9kzpw5+fn5pILGyJGcnIzCb1CuLpQIzKDWdGlpqVwtobKyshkzZuhx\n",
       "CKlUWllZWVdXZ2tr6+/vrzrV5+PHj2NjY+/fv5+YmKhpvVdyuJaWFmtra9nEpLNnz9aiK4wWYAWt\n",
       "hPx8WLUKxGJxUVHRkSNHTC3OM3nppZd27ty5detW2cb794FOB09PUwlFIaKjowmC4PP54eHhKJZD\n",
       "NkWMIfDz88vKypJt0W8Jt66urtLSUrTjjslkqkgfIRKJkpKSMjIy9u7dq52vub29Hbkyent7hw8f\n",
       "PnHiRB0Ex2gJVtBKiI8HBwf48ccfly9fTln/BgC4u7vX1dXJNWZlwWefwW+/gXqeyf4MCr9hMpmG\n",
       "NpyNRklJiVgs9vX1VRGyRhDE2bNnk5KSwsPDf/nlF9W1Aa9du/bhhx9KpdIhQ4YcPXrUzc1NKpXW\n",
       "1tY+evSop6eHTqcPHz7cxcVF/e2IGP2CoziUMHIkDB4MJ0+e/Otf/2pqWZ6Dl5dX+dOhG2+/DYMG\n",
       "weHDppKIilAzUFILxo8fP3PmTBXamcvlBgUFFRYWbty48dSpU4sWLYqKikLByPv37583b968efMO\n",
       "HjyIDhYKhVu3bj19+nReXt4HH3zwzjvvAEB3d3d1dbW1tbWvr29AQICvr6+zszOVzZT+DbaglVNb\n",
       "W9vX16eXFRWDEhgYeOnSpfHjx5MtdDp8/jmsWgUbNoC7uwlFMz2yyb/I/5i1Ka3Ckq2qqtq9e7et\n",
       "re2JEyeam5vj4+NzcnKsrKyOHDly6NChsWPHtrS0XL58GQC2bt36v//9b/Xq1Tweb8aMGQ4ODn19\n",
       "fbNnz25tbQUAe3v7BTh9LWUwsYJuaGjIyMiQbbl3796oUaNMJY9QCKmpwGLBV199hQwKihMUFPTB\n",
       "Bx/I5aEPDISVK2HHDjhzxlRyUQKz1sUAgLwNTk5Ojo6OKg4Ti8WHDh06ffq0paWls7NzbGzsxIkT\n",
       "169fj5wbb7311tq1axsaGlgsFnpKhYeHf/vttytWrJBKpVevXr169SqTyXR0dOzfaeHMFBP/JAwG\n",
       "Y8jTWFtbm3Ci/PADfPklCASCS5cuLTWHgqyenp61tbWKmujzz2H9epNIhNEP3d3dhYWFVVVVQqFQ\n",
       "xWFXr16dP38+QRDOzs75+fm5ubmvv/56VlZWYWEhOqCwsHDs2LEvvPAC2XLt2jV7e/srV660trYG\n",
       "BQXFx8cnJSUtX7587969Bj8rjIaY2IIeNmzY2rVrZVsuXryox1VvTTl9Gtasgf/85z9vvvmmufjd\n",
       "pkyZcvv2bbmaEcOGwSuvmEoijE4QBFFdXV1TU2NjY6MikK6lpWXx4sVVVVVMJvPGjRtLlixBkXBL\n",
       "ly5NTEx8+PDh+vXrhw0bdvv27bS0NEdHx9WrV3O5XJFIVF5e/vHHHw8bNszDwyMoKKipqam+vv7j\n",
       "jz/WrsI3xqBgH/SfNDRAZiYcPCgODz+Vm5tranHUZcmSJT///LM6RX0w1EcsFpeVlbW0tAwfPnz8\n",
       "+PGKMRj5+fkxMTHNzc01NTVTpkxpamqysLD48MMPz549GxMTAwA1NTUODg4nTpyoqqrq7u729fVF\n",
       "0XgXL14sKysTi8VOTk4uLi5kUZIRI0aMwJlqqQpW0H+SlgZz5kB29r82bNhgRvXkg4KCkpOTd+/e\n",
       "rfSvBw4AkwmUzCaCUQKPx2tvb/fx8Rn5dCmzxMTEs2fPEgRRV1c3derUl156af78+bdu3UL+wKio\n",
       "qB9++GHlypVMJvPatWuojsyYMWMAoK2tzdbWFu3D9vX1NcU5YbQHLwv8yYgRsG2b4PTp05s2bTK1\n",
       "LBpgZ2dnbW3d1NSk9K9+fhARAZWVRhYKoyVMJnPWrFly2pnD4Tx48OD69evLly/v6emZPHlySkrK\n",
       "ggULHj16hA64cePGihUrjh07Fh4enpOTM2HCBIIgmpqabty4cevWrcbGRlOcCkYPYAv6TzZsgG3b\n",
       "9uzatUvN7DPUISwsLCMjIyIiQvFPK1bAxo3wl7/A5cuAs9lQH8VXN4IgUM7bl19+ecaMGePHj0cK\n",
       "d9GiRT09Pa+//rqjo+O9e/fS09OHDBmCdprU19fX1tYKBAI7Ozs/Pz/swTBfsIL+k2vXrj148GDV\n",
       "qlWmFkRjwsLC/va3vylV0ABw+DAEBsLmzfD110aWC/McCIKora21tLR0c3NT+tfdu3fn5eVVVlZK\n",
       "JJK8vLwpU6Y8fvw4Jydnx44d+fn5Z8+edXNzE4lEvr6+yNchEolu3ryJHM3e3t7Ozs5GPyeMPsEK\n",
       "GgCgtxeamrp27Njx3XffmVoWbRg+fDgANDU1KbWVrK3h3DmIjASRCBvRFEIoFJaWlra3tyNnsSL/\n",
       "/e9/m5qaLC0t9+zZk5KS8t577/n6+lZVVeXm5ra2tsbFxSlmDaXRaC4uLiNGjFCdRAljLmAFDQDw\n",
       "ySfE8eO/stn7TLhHRkdee+21U6dObd++Xelf3dzg6f1AGBNTV1dXWVlpaWk5efJkRTuXzWaz2ezy\n",
       "8nIbG5vc3NyJEycGBwd/+umn27dv9/X1pdFoL7zwAjqyr68PAMisSQwGw9AJoTDGBC8SQleXNDGx\n",
       "MySkl2qluzVi9erV33//vbnvnaM+LBaLw+Ho0oNEIrl7925FRYWjo+P06dNltTPaAVBUVHTy5Eka\n",
       "jbZ69eoVK1akpqYCwLVr12bPnu3n5ye7Z72hoeHKlSt3797VRR4MlRnoFrRIJJo37/uhQ0OOHVtp\n",
       "all0wtbWds6cOTk5OaofMwQBy5dDXBxolRx4gCK3ZQkFsWn9LKyrq2tubmYymaNHj0Y9S6XSuLi4\n",
       "7OxsoVD46NGjzs5OgiDS0tIWLlz42muvZWRk1NTU9Pb2pqWlkZ10dHTweLzOzk5HR8dx48bpcHIY\n",
       "SjOgLejbt28HB6+4f//Vo0ddzGTboCq2bNmSlJSk+hgaDYKC4OWX4Y99v5jnk5SUFBkZSRAEQRCR\n",
       "kZGZmZm6vKm4u7vPnj3b3d2dRqNVV1evWLFiypQpX3/99c6dO3t6eqRSaXBw8Jo1a/bu3WtlZfX+\n",
       "+++HhIQcOnTo/PnzKJZZLBbfu3evsLBQLBb7+fn5+/vrWL8KQ2UGqAXd3NwcFxdXXV29e/e/Dx2y\n",
       "WbHC1ALpgzFjxowcOTIvLy8wMFDFYTt3AgAEB8O5c2DOTh3jERUVxeFwWCxWSkqK7r3R6XQ6nZ6V\n",
       "lRUbG1tVVeXu7j537tzAwMCIiAgbG5uMjIwjR44MGTKkvr5+7dq1LS0tp0+flg2LLisra2tr8/T0\n",
       "9PT0VJGwH9M/GHAKuqam5uDBg2VlZTt27Fi2bBkA9A/tjEhISFizZk1OTo7qCp47d8Lw4fDKK1BQ\n",
       "AC++aDTpzJjQ0FAACAgI0EthEaFQGBMTk5WVtXLlypSUlIULF164cGHlypXXr1+/evWqj49PVFRU\n",
       "Xl7e4cOHPT095RwsqJCKGe10xejCAFLQfD7/wIEDDQ0NW7Zs+fLLL80lF5JGuLi4RERExMTEPLcS\n",
       "eXg4zJsHbm7Q0dGBIgEUodPpOFqLJDQ01MvLy8vLKyws7FnHFBcXy0Wj19XVBQUFwR8+axqNduzY\n",
       "sa+++qqlpSU8PFwikURERNDp9OnTp2dmZo4bN27Pnj0rV65csGBBTEwMCtUgC7cjsENjQGEQBc3h\n",
       "cORydaKqnYYYSx0aGhr27dv38OHDPXv2zJkzBzU+eQK2tjBokKmEMhQRERGbN28+ePDg+++/r/jX\n",
       "3t7e3NxcLpd78+bN9vZ2BoMxaNAgW1tbpV0JBAKBQCAUCm1tbadOnRoaGjpv3ryBXMKZyWSq9j6/\n",
       "+OKLN2/elG1JTU3t6+uLiooqLCx88OBBT08PALz88sv37993dnbmcrkuLi5isbilpWXXrl0bNmwY\n",
       "OnRofX29m5ubtbW1RCKprq6uq6ubMGECCnXHDDQMcrMlJCTIFujk8/leXl4miQDr7e09cuTIuXPn\n",
       "EhISkCGDaGyEyZPh229h4ULjC2Vwvvjii5iYmFWrVkVFRU2ePJkgiAcPHhQUFPz8888CgWDBggUB\n",
       "AQE7duwg00s+eQJMJhw4AG+/DUpzcff29nK53J9++ik2NnbVqlVvv/32gNqiRhocpJ0REBBQUFCg\n",
       "5tcLCgrc3Nw++uijjIyMpqYmGxub0aNHZ2VlNTY2WlhYODg47N+/Pzg42M7ODh0/ZswYFEJ3//59\n",
       "iUQyatSoAXW1MbIYyhqSjZZnMpkmKQpXWFi4ZcuW9evXX758WXY5RSCAV16B4OD+qZ0BwMLC4pNP\n",
       "PikvLz916tSxY8csLCzc3NymT59+/PjxYcOGKR4/dCikpcGmTcBmw9GjMGuW/AFWVlYLFixYsGCB\n",
       "RCI5d+7cypUrly1btm3btgHiCSUNDhaLBX/4o9Xn3Llzbm5u2dnZe/fu7ejo+PDDDz08PKZNm7Zn\n",
       "z57k5OS0tDS5nKJtbW0VFRVdXV1OTk5eXl6k4sYMQAyioLlcLp/Pl7WguVyuIQZ6FiKRKD4+/urV\n",
       "qydPnpSLEiUICA8HAPj3v40pkQkYP358fHy8mgcvXgxlZRAfD0FBsH07JCQoP8zS0vK111579dVX\n",
       "U1NTFy1atHv37uXLl+tNYgqDJnNKSgqLxfLy8tLou25ubps2bSooKPj666+Dg4N9fHyqqqqsrKxi\n",
       "YmK+++47Oe0sEolu377NYDD8/PxcXFz0eQ4YM8QgcdCZmZleXl60P/Dy8srMzDTEQEopLCwMCQlx\n",
       "dXW9ePGiYgz/4cNw5w783//BM/yuA5fBgyExEfh8eOON5xxJp9MjIiIuXLiQnp6+ceNGMullP4bP\n",
       "56P/pKSkhKMnvNqMHTv27NmzjY2N2dnZCQkJNjY2o0aN+u677y5duqSYI4nBYEyaNGnWrFlYO2PA\n",
       "QBZ0aGioSTzOLS0te/fuffjwYVpamtL0YAAQGQnvvAP4rfFZuLkBeeUePYJlyyAsDF55BRSjyxwd\n",
       "Hf/1r3/duHHjL3/5y5IlS6Kjo80uTauapKamyi6ioI/qf33SpEkEQdDp9Ndee+31118Xi8Vyk1Mq\n",
       "lZJ1OGk02tChQ/UlOcbcMYgFzeFwaE+jY/qC59Le3v7pp58uW7YsNDQU5WCU/atEAtXVv//fwQFr\n",
       "Z3VxdYV9+6C4GGbOBF9fiIkBxXi8GTNmZGVlOTo6zp8/PzU1VSKRmEJSwyIXvPHcWA45jh8/jjLu\n",
       "v/vuu8OGDZOdnD09PcXFxQUFBTiJCkYpBlHQaFGF+IOKigrDVcguLi7esWNHcHDw8OHDFUtx19dD\n",
       "YiKMGwfvvmug8fs5K1bA99/D48ewfz8IhUCq36IiOHwYfv4Z6uqATqezWKxffvmlsbFxwYIFH330\n",
       "UXl5uUmlphbu7u4///zzyZMnZcvVSyQSPp9/48aNjo4OJpPZL6PyMbpjZlEcvb29T5484fP5ZWVl\n",
       "V65c4fF4Pj4+b7zxxqFDh8Rii54eIF+yCwshIgJKSyEgABITcVE+nRg8GFavhtWr/2yRSCAnB44c\n",
       "gdpaGDwYFi6E8+cHvf/++9u2bTt69Ne33vqlufmEt/eISZO8Zs8eNnu2J/KoEgR0dcFAKx7997//\n",
       "3dXVlfwolUrr6upqamqkUqmHh4eHhwfesY15FiaO4igtLY2KipJtKS8vDwwMlH1T/vXXziVLLAji\n",
       "90lsZWW9efPliRPdd+3a1dbmNX++JRmPYW8PVVUSR0cAAFdXiI+nzZpFkA69/vjybTL8/eGHHwAA\n",
       "xGKorqYJBCCR/L5Tzt19AUCQnR3cudNbUCA5fbrxpZe2d3R0dHR0NDb+raLiL3fu9Pr4/Bm6MNDU\n",
       "U319fWVl5ZAhQ7y8vPC2QIxqDKKgURSHXIvSI/38/LKysmRbUlNTpVKp7Ha12bOHyKp3OzsYP34P\n",
       "+n9vL5Av09bW4OgIdna/f3HUKDDb5PvmhKUl+Pk91bJmDfm+wgBgAIwB+BZ97uuDjg5wcrKUfaF/\n",
       "1kbz/srw4cMHDx6M955g1MEMojhsbZ+ZvNjKCsaO1dc4GINDp8OQIaYWwtTY2NgMkA0+GN0xUj7o\n",
       "gIAA4wyEwWAw/QYjJb5RP3EBANy8edNo21tzcnIGUTJhUnNzs9Jt2Sanvb19yZIleuywpKTE399f\n",
       "jx1SDTXn85MnTwoLC+11W0LVdNpIpdK2tjaN/C0ikai3t1fHO7Qfy1lcXKzH+Uy5zGQLFy4UiUSt\n",
       "ra3GGe7HH38MDg42zlgakZWVFRISYmoplJCTkzNz5kw9hoUFBgaaJFWLcVB/PhcVFRUWFk6YMEHr\n",
       "sQiCyM7O1mjadHR0lJWVzVJMv/Js6urqOjo6/ORWHjRBKpXm5uYu1CQVTnt7e3l5+cyZM9X/Sm1t\n",
       "bXd3t4+Pj+YC/k5fX9+lS5c00g9tbW1dXV36nM+EAVBcEkRVgihIYGCgqUVQDmUFCw4O7uvrM7UU\n",
       "/ZDMzMzExERdepBKpUFBQRp95d69eywWS6Ov/Pjjj4cOHdLoK3KIxeKQkBCNvnL37t13331Xo6+c\n",
       "P3/+888/1+grcggEgiVLlmj0leLi4i1btugyqBz9PN0oBoPBmC+GWiSkQrpRDAaDMWsMoqDRRhXy\n",
       "o/HTjWIwGEw/wMQbVTAYDAbzLGgD3DVcWFg47VnbYEwKFmyg0dLS0t7ePmbMGF060fTXEYlEFRUV\n",
       "GpUqf/LkSWdnJypoqzWayikUCisrKzUKcWlubu7u7vb09NRcut8hCOLWrVsaxcwJBIKqqipdQlzk\n",
       "GOgKGoPBYCiLkXYSYjAYDEZTsILGYDAYioIVNAaDwVAUrKAxGAyGomAFjcFgMBQFK2gMBoOhKFhB\n",
       "YzAYDEUZcAo6ICCARqPRaDSyhgCLxUItstvTqSabacUjxeBwOHItJr9o/QPFn15TDDpVdL9rFMXT\n",
       "4xRSRzz9zljZdLvqjKX16ANLQXM4nIkTJ6I8fhMnTuRwOBwOp6SkhCCIzMzM8PBwSskGACUlJRUV\n",
       "FahRNv+UkQWDP9LSLl26FLVQ5KL1D5T+9JpiuKmil7tGTjw9TiF1xNPvcLLaWZ2xdBl94O4kTE5O\n",
       "9vb25vF4AIAqi9NoVLkaSLbQ0NCAgACUZyoyMjIlJcXUcv1+iZKTk4F6F61/QP70mn7ROFNF67tG\n",
       "TjwDTaFniafH4ZKTk6OiogICAlCVKMWe1WlRf7iBZUGTcDic0tJSdBt4e3ujRorkRCVl43A4XC4X\n",
       "mQZ+fn7aGVb6Ar2jJSUloY9Uu2j9A9lpqekXjTBVtL5rlIqn9ymkWjx9DYf0rCzqjKX16ANRQbNY\n",
       "rPT0dNLKQM9bAKBCTlRZ2WSLo5N2galISUlBwiBzgFIXrX8gNy01wghTRZe7Rql4+p1CzxXPcDNW\n",
       "nbG0Hn3AKeiAgICwsDDyh/T29j5z5gwAcDgckxuDcrJxOBykDQGAx+ORD2EjIysGglIXrX8g99Nr\n",
       "iqGnio53jaJ4+p1CzxXPcDNWnbF0Gl27SllmSmRkpOy5JyUlyTaSixgUlA19NLlskZGRci2mvWj9\n",
       "A6U/vdad6H2q6OWuURRPX1NITfH0O2Pnzp2rKICKsbQeHa/wYDAYDEUZcC4ODAaDMRewgsZgMBiK\n",
       "ghU0BoPBUBSsoDEYDIaiYAWNwWAwFAUraAwGg6EoWEFjMBgMRcEKGoPBYCgKVtAYDAZDUbCCxmAw\n",
       "GIqCFTQGg8FQFKygMRgMhqJgBY3BYDAUBStoDAaDoShYQWMwGAxFMXsFzefz5Uqgq1+QjayFTn5F\n",
       "sX676nFJ5GqOqC+AijLssucldzwajs/ns1gs7cZVWgQ+OTlZ8aQUDyavEnnW6l83jIGQm5AqJoZ2\n",
       "c1XpKOr83IrTWBHFG4HP5+sipxyKVYHMBbNX0AAwd+5cLfQUUsqobMHSpUtBWf32545LFj44c+aM\n",
       "ClWrHSpqKaAKOtqhogh8VFSUbJ2IqKgoxYOTk5PJq1RaWoqq3Gt03TAGgqx3QxBESUnJsyakLpMH\n",
       "np7269ate67i064kSHh4uGJ5Vq0JDQ3V8axNRX9Q0BMnTnxWJWOlJiEiNDRUrgScbIufn5+mMjCZ\n",
       "TJCxN9Ezg8/nK1qX5DHoI9lOWqmohTxA7ngWi8XlcslnklJbRsWJ83i8devWofN9VglLFou1a9cu\n",
       "APDy8pI9R8WLw+PxdLluGENDTh7yfQhNHtnXL/QxOTkZzVWlk1ajUciuQNk0lh1XdmKT8Pl8NNnI\n",
       "F2JSWrmBFLslh+ZwOKgd9bBu3TpzNB36g4IGgKioKGQFK7bLFvhSfCajXzcpKUm2UbZ+uwq4XC6p\n",
       "AdlsNgAg9apowqAWdICs5Y6+haYOKihZUVHB4XCQAiWFkTs+JSVl7ty5SCey2WzZztU8cdVF4NGI\n",
       "6HnDZDJjY2NpNFpCQgIaMSoq6syZM0rvKzWvG8ZAsNlsckIii0F28gAAh8ORnTyKoDch9H+l8wqe\n",
       "nvZnzpxBr1lyo8h1BU9PY/RRcWKTVFRUoCf9rl270tPTAeDChQthYWGKnSi949DQ6enpqAAgMjKW\n",
       "LVuGujIv+omCBoDMzExFR4cKQxKRkpKCfmzZB7Js/XYVyBWO5HA4TCbTz88PjUUap6Thif7D4/HC\n",
       "wsJQCyoliaYOj8eLjY1NT09PT09ftmwZOYri8bKQLeQo6py46iLw6enpyHxG/aSnpxMEkZqaSmrk\n",
       "goICdNay9rL61w1jIEgXB6mCeTweqbWjo6PJ3/1ZkD+o3KSVRXbaFxQUPGsUuXcp2WkcFhbG4/FU\n",
       "TGyyMDmTySwpKQGA6Ojo0NBQxYGU3nGkcvfy8qLRaBcuXNDgIlKM/qOgkeEm9yhWYUgqXTeQq9+u\n",
       "KahD8iZReoy3tzf5JEeTD81CWdsTWa/POl4dVJz4c4vAl5SUyAqApjvZwuFwyAdhdHQ0epboeN0w\n",
       "+iU2Nhb9Rt7e3rJFvuVepMjpJHfXaIrqUchjyGmcnp7u7e2tYmJ7e3uTz5J169axWCz0jqs4kIo7\n",
       "jslkEgRRUVGBZntFRYUu52gq+o+CBgCNFERoaGhpaSl69paWlkZFRSH33NKlS59lbssh+66HOly2\n",
       "bFl0dDT5jql0TiAtLOcikPVpyJkeSo/ncrlax0uEhoZOnDiRRqMtXbo0NTUVNZK9ke4/hKxDIzMz\n",
       "U06ezMxMJpOp6XXDGBr0GyUnJ8tOctIbiyYPeuKidsU3M02HUxxFqUiyN4vSiY3w8vIqLS1F/4+K\n",
       "imKz2cgOUBxIxR2HvJdeXl6xsbHwtAlvRtAIrdZYMRgMxnAEBAQg/wmfzw8PD0f/10uH5oWlqQXA\n",
       "YDAYeVJTU9GrWHR0tO7eCbmFdzMCW9AYDAZDUfqVDxqDwWD6E1hBYzAYDEXBChqDwWAoClbQGAwG\n",
       "Q1GwgsZgMBiKghU0BoPBUBSsoDEYDIaiYAWNwWAwFAUraAwGg6EoWEFjMBgMRcEKGoPBYCgKVtAY\n",
       "DAZDUbCCxmAwGIry/wHRRNnRWpLusAAAAABJRU5ErkJggg==\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tipo de ajuste:  GEV\n",
      "método de ajuste:  GMLE\n",
      "[ 23.06394152   1.75769129  -0.16288164]\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nOzdeXgT1doA8JPuC22h\n",
       "pbTQli50oQstFBVoQXakrWiLtN6rclHUxKvftVUvF8WqgBVUBBNFIQWEIjsCRSBR1rJVZbd0gSRd\n",
       "gW60NN33zPfHwXFI0zSZZJpJ+v4eHp5kMnPmNJm8mTlzzns4BEEgAAAA7GNm6AoAAABQDQI0AACw\n",
       "FARoAABgKQjQAADAUhCgAQCApSBAAwAAi/H5fKlUSuMlgiAIgsAr4MdRUVGbN28mn0ZGRiKERCIR\n",
       "uVVUVBSfz09NTcVPHRwclIr19fWl/YdMnTqV9rYAABNjZqb1CailpaW9vb27uzt+6unpqbSCVCoN\n",
       "DQ3Fj//xj38ghHg83smTJ3srkIx1CKGoqCgcJKkrZGRk9NwqICDg4Z+AEEpOTvb39+8tEJPVQghR\n",
       "w3FycrKa9aliY2PxH0AQREVFxdmzZ8mXGhsb8YM333wTPyguLiZrgh/giE9dguP+0KFDEUJz5swh\n",
       "/6eWjA0ZMqTP6rm7u+OiMCcnJw3/LgAAm3E4HG03CQ4OdnJywqNDwsPDnZ2d/f39EUL29vZ4hWPH\n",
       "jpEnkXv27MEPvL29qYWIRCIyZKelpZHLk5KSoqOjU1NT3dzcnn32WYRQTEzM559/jgM9DmLh4eEu\n",
       "Li4zZswIDw8PDw/Xtv4AAAD6l62trfoVhg0bpnI5+Rtlbm5OXe7q6qpVBWhcjAAAAMvROIunQ2VD\n",
       "iRowghwAAGjoj1ZW9S3aAAAAVBo9erTyIi6Xq3JVOzs7/OC9997Tah9KdyoBAGDgUNOvA9Fo0R00\n",
       "aJD6gl599VWVK1haWuIHSm3QwcHBanbX8xwe2qABAAAAAIBRkUqluI8z7kpND7X/MnU5QujkyZNK\n",
       "JeN9abJHpTJVbkhdgcvl9tw7/p8sITg4mFwBr48rn5qaijuW467WZO9sc3PzyMhINzc3LpdLlk8+\n",
       "kEqlkZGRuPt6ZGRkVFRURkYGh8OJ/AtZIEIoNDTUzc2N2kYvlUrJpiT0123f0NDQ6dOn4yXUbtqk\n",
       "mJgYhJCDg4OPj4+aTxa6dQM9YqJPAvXim1q+0r7InshKm+BvVkJCAu41bG9vb2lpiTsR4xCBexm/\n",
       "+eabbm5uwcHBo0aN4nA4CQkJfD7fysoKl5CQkODm5kYQBN6Li4uLr69vQkICDjU+Pj7h4eEJCQl4\n",
       "CZ/PV4paXC6Xz+eTw/p6C2V4nT7DHQ5leHcP7+aR0U2TIpRQm5uVSqPusmfJfAr1NVYqs+eGPXeq\n",
       "tHf8CeFte5ZG9BjeQ8LxetiwYfgjx59rbxvOmTMHv618Pn/EiBEjRox4+C7/1QsdFxgeHo6rgXs3\n",
       "qrgn8FdpKpdT4UNNaUmfWwHATvSOXi8vL3t7exypHR0dbWxs7O3tlUYph4aG8vl8HMTNzc1xhB0x\n",
       "YgRCyN3dnbqynZ2dr68vPjnDY1JsbW3xmVZUVFRqaiqO0dQgQx1w2Fsg0vD0F5dw8uRJBwcHqVTK\n",
       "IaA/HAAAsBLcmgMAAJaCAA0AACwFARoAAFgKAjQAALAUBGgAAGApCNAAAMBSEKABAIClIEADAABL\n",
       "QYAGAACWggANAAAsBQEaAABYCgI0AACwFARoAABgKQjQAADAUhCgAQCApSBAAwAAS0GABgAAloIA\n",
       "DQAALAUBGgAAWAoCNAAAsBQEaAAAYCkI0AAAwFIQoAEAgKUgQAMAAEtBgAYAAJaCAA0AACwFARoA\n",
       "AFgKAjQAALAUBGgAAGApCNAAAMBSEKABAIClIEADE8fj8TgUhq4OAFqAAA1MXHp6OkEQUVFRBEFw\n",
       "uVxDVwcALUCABgNIbm6uoasAgBYgQAMTx+fzeTxeUlISh8MJCwszdHUA0AKHIAhD1wEAAIAKcAYN\n",
       "TFx0dLTKxwCwHwRoYLJw/43s7GzowgGMFDRxABMXHR198eJFQ9cCADogQAMAAEtBEwcwcTBQBRgv\n",
       "CNDAxMFAFWC8IECDAQQGqgDjAgEamDgYqAKMF9wkBAAAloIzaAAAYCkI0MCURUdHk/03YBghMDoQ\n",
       "oIHJio6OTk1NJf6SmpoKMRoYFwjQwJTFxMSofAyAUYAADQAALMVIgBaLxZxHicViJnYEgBrUNElY\n",
       "dna2oSsFgBYY6WYXHR2dkZHh7++Pn8pksoCAAOjPBwAAWmGqiYOMzvhxVFQUQzsCAABTxcgZNIfD\n",
       "kUql9M6gCwsLN23apPcqAdYyMzNLTk52c3MzdEUYAcezqbK1tW1vb1coFErL9Xs8W+ilFCUikSgg\n",
       "IEBpico16+vrjx8/Tl1y/PhxDoeTlJTERMUAC+3Zs+fGjRtPPfWUoSvCiAsXLnR3d5vqXzdgmZmZ\n",
       "4b6bPV/S7/HMSICOiYnR8HxZLpcXFRVRl+Tk5Hh7e8+aNYuJigHDqq2tzcnJGTJkyNixY8mFly9f\n",
       "NmCV+kFISAgczyajs7MzLy/Pzc1t+PDhKlfQ7/HMSIAWi8WxsbFRUVFhYWHp6ekIIWqLB5W3t/fS\n",
       "pUupS2QyWc+rBmACrly5kpKSMmfOnLKyMoIgtmzZwvQeVWZ/hpvVgLaWlpaCggJ/f38nJyeEkEQi\n",
       "2bp1q6+v72uvvWZmxsj9PEYCdFpaGkEQAoFg3759+PsA0w6BFStW7N2718PDAyH0xhtvXLp06Ykn\n",
       "nmB0jz2PPRhJCGirra0tKSkJCQmxtbVFCHV3dwcFBeGXCILg8XhM7JSRAI0FBgZCUzIgNTQ0jBgx\n",
       "Aj8ODAwsLy/vn/1S+z5DP2hAz927d+vq6saOHWtubo6XNDQ0kK/m5eUxtF+mutnJZLKYmJjk5GSG\n",
       "ygdGZ8KECZs3b0YIVVdXZ2ZmTpw4sX/2KxKJyIEqvd2sBqA3BEHcvn27tbU1LCyMjM4IoSFDhixe\n",
       "vBg/XrRoEUN7Z+QMOiMjg9qvDve6Y2JHwIisXLly6dKl06dPt7Cw+PTTT93d3ftnv5rfsgZASVdX\n",
       "V35+/tChQ8mLP6otW7akpaUNGTLExsaGoQowEqD9/f2pXwn4egCEkI2NjUAgMHQtANAUviXo6+vr\n",
       "7Ozc2zq99eXQF0iWBEwczgzD4/F4PN7AyQmjZv5ylS+RC2Hic6yuru7WrVshISFqonM/gAANTFxs\n",
       "bCxuYRMKhbGxsYauDuPwD5K2L5HgehchdO/evbKysjFjxuAOGwYEARoAkyKRSAiCUJn9Rs1LJBzB\n",
       "ZTIZORkN2TeRx+PhJSbcVEUQhFQqbW5uDg8Pt7S0NHR1mOxmBwAbkIkH0tPT2dWL48FtlLcVIYQQ\n",
       "B0W8gRy9NVrSFzVdp7TtVUV2JJfJZPgqBC8RCARisdj0JkDAtwSdnZ09PT0NXZeH4AwamDjciwNj\n",
       "V0wZNAIFJqLARBS4ANm6arpES/i0l8YwirCwMOoDiUSSnp6Oz6BTUlIkEonS+l1dXTSqxx5tbW05\n",
       "OTmenp46RmdHJDdXtOqrVnAGDUyc0khCRke0trS0KI2FuXHjho+Pj+q1rRyQ23itl2hJKBQKhUJd\n",
       "SsACAwP5fL6ac/DCwkI/Pz82NAvQIJfLZTJZcHCwvb29jkUN4dSaE516qRWCM2hgwvDJI3VeFab3\n",
       "WFVVdfVR2dnZppHkICYmJj8/X80cSUFBQUYanSsrK0tLSyMiInSKzvdzUMmvCKFSYlSHuaO+6sZI\n",
       "PmhdvP766wqFoh8y6QCWWL16dWRkJHMJOQ2bBwaOZzYjCEImk3V1dQUFBdHPdtTVin7/FN3PQbM2\n",
       "IAcv/R7PcAYNTJxpnMCyX0VFRXd3t6FroYXu7u68vDxbW9vg4GCdctHl/4icRqGEI8jBS3+1e4jB\n",
       "SWN5PJ5AIMAXRDKZjIkdAdAnsnNY/7RyDFh1dXVGdJ+wo6MjJyfH1dWV/i3BzhbUUIoQQuFcNOZV\n",
       "hBg5tFQEaIFAIBAI8GFNr8MjTjcaEhKSn5+P754zl0wEGFBRUdH+/fuZS+WlF+np6bjzL0EQXC7X\n",
       "0NUBhtfU1HTz5k0/Pz/6E1PdPY8OPIXqi/VaLxVU9OJISUkhCILD4eD/aWekCwwM1K1ugNV+/PHH\n",
       "7du3x8fH7927d+zYsampqYauUd9yc3MNXQWTZWZmxlDSev2qqqoqLy8PCwuztramWcSN71DFHyj+\n",
       "MLJhfBS46jdUJpPpPg+3RCLJz8/XsRDAWt99951IJHrrrbd++umnEydONDU1GbpGqvH5fB6Pl5SU\n",
       "xOFwyL69gLbemolGjx6tphcHS3J9FBYW1tbWRkRE0I/OCKGxb6GY7f0QnZHKM2gulxsQECASiXg8\n",
       "Hp/Pp1Foamoqh8PhcrkhISH481CTbrSuro76tL293Ug76wwoXV1dNjY25Cfl7e1dXV09aNAgGkU1\n",
       "NDR0duqt32hP5CUgZCfXCx37fRmq25hCoSgoKLCzswsJCUEIVVZW2tra4pmrNNJai84ko5EzUdgr\n",
       "DNayJ8Kg8vLyEh/l6+sbHx9v2FoBTSQkJJw+fZogiLy8vMmTJysUCm1LkEgkL7/8cnBw8N69exmo\n",
       "oOpAwMSO1HjttdcWL17cb7vj8/n42pegNLjz+Xz8KnlZzOVypVKpmpXJMfEikYj6mCAI8j0kN+Fy\n",
       "uQRBZGdnT5o0CS/BLf5U5Fbor3wXZGXIlXtWWF/a29uvXbtWVVWFn3766ad4Rz///LNG2xf/Suya\n",
       "RBT/qsm6q1at+uWXX2hXVYmKJg7d0zPiEqi92XubCy4kJGTfo2bOnGnY/H5AQ+np6Vu3bh07duwH\n",
       "H3ywfft2rS5dr1y5kpCQ8Nlnn/33v/9duHChFicy2lB5xDOxI3qam5tva08ikXR0dKgpNiwsjCAI\n",
       "/NUj/2SxWCwQCJKSkvASPJWzmpUzMzOlUilBEAEBAdTH5F56blJfX099kzXpuEVduWeBtN5UFRob\n",
       "G3NyckaNGjVs2DC85KOPPsIPNmzYoFERDp5owUnkM0dfVdKciiYOnJ5xzZo1QqEQ3yrUttC0tDQ8\n",
       "jTfOAMCuBAhAT4YOHbp9+3Ztt7p06dInn3wycuTItWvX+vn5IYR+/vlnBmpnBGxtbUeOHEljQ/Vt\n",
       "gPgSHqfOIAMxn8/Pz8+Pj4/HT8lz1d5WXrJkCQ7HSo/JZiKJREKWFh8fL5FIgoKCQkND8RJN2vpV\n",
       "5vqg1kEvcaOmpubOnTtjxoyhNjrPnTv3l19+QQiRFVaFQDmbka0zCngOuYToXhN6mLrr6u/vjxAS\n",
       "CoWZmZnQCRoghH7//feYmJgtW7Z8//33QqEQR+d+wHlU/+xUE2ZmZra0aPJX4NQZ5CltcnJySEgI\n",
       "meGIjIO9rYwnRZJKpfv27aM+pm6SmZmJH2dmZgYGBpqZmeny9vasA+2iSMXFxRUVFeHh4Uq3BH/4\n",
       "4YdPPvlk7dq1K1euVL1lQxk6+DRqKEa+cbpXQxcqAjROz4gzV9FOz0gGZaFQCJ2gB7hTp07NmjVr\n",
       "9+7dGzduFAqFvr6+/bl3avvGwOkH3TN1RnJy8r59+/BTpfeh58p4GERAQEBqair1MXUT9NePH37q\n",
       "5+enSze7PnN9aEWhUOAuZGPGjKHO9IoNHz58+fLl7777bq/5+O+cQVNWo8mrkAVTkw1qiJFcHDKZ\n",
       "jDpprNJT9SB3gSk5cuTIN998ExIS8t577/V2Oc90Lg4qek12umDP8YwHneEz0/5/H/pTR0dHXl6e\n",
       "u7u71hMG1hejziY0dIwue2cwFwdHFRqFKk0aq/QUDARHjhyZPXv2xYsXd+zYIRAI6DW26gX1YB44\n",
       "Z9A9Uc+g6XWfVY8luTiam5vxKEHtojPRja6uQ7++iizsGKsaHY/cJIQwCnREEMRPP/0kEAgmT568\n",
       "c+dO8r65YaukYwlisTg2Nhb3609JSUEI4Xvg+qhdv2I0b1RVVZW7uztz5WuipqamtLQ0JCRE67kE\n",
       "f/sUWdqhxBOIo9weYliPnEHjznCsvakC2IwgiP3790+dOjUvLy8zM/Pzzz9nQ3RG+kiWBLllNEEQ\n",
       "hGHDRVlZWUVFxdixY7WIzopO1NmMEEJRy9Hj/2NbdEZKZ9D4BxbOo4FWuru7d+7cuXnz5hkzZhw6\n",
       "dMjFxcXQNXoETpakezmQW0aNrq4unQZP64YgCIlEYmFhERYWpsWPxP0cdCYFRX2CPKcyWTudqLjr\n",
       "Sh1U0tsAEwAQQt3d3du3b582bVpFRcXRo0eXL1/OtuiMKH1+dWQsuWXI2bjJVJTUawjcvYraUwJP\n",
       "4K3jTi0sLEJCQvCOZDJZzyjJ4/H03t1WJpPxeLyurq6bN286ODiMGjVKi+h84zuU/THvlxGyNg/9\n",
       "1kq/HgnQ/T9FEDBSXV1d6enpkyZNqqioEIlES5cudXTU2zQ/eqdjEwfOLZOfn49zy3A4nIyMDJVr\n",
       "5uTkPPaozMzMmpoa3aqvBYFAgAcHEgSRn5+PQ3Bubi4eCkgQhL+/v1gs5vP5Uqk0LS0NIbRo0aLe\n",
       "/hxt4YsVGp0Cvv7660mTJr3xxhvaZpTu6uq6ceOGl5fXiBEjtNoQBT2Pns1ElrrOQMi0RwK0UCgk\n",
       "/sqci8FsFEAJDs1PPvlka2vr6dOnly5d6uDgYOhKqYOjhi5DvfG84EKhMDk5mQxzKtcMDw+/8qj4\n",
       "+PihQ4fq9hdoBw8OxMiRKQEBARxVc3uLxeKwsDCVfw452wY+vyZPw3Eh+LybXKGsrAwvxz+B5A8h\n",
       "uRVZLLkEn+DLZLLIyMh33333999/FwqFu3fvVrNrpfT09fX1crn88ccfd3Z2Jv80dfWMmohOv42K\n",
       "jvJ4PI6dK1mrnqkp2ENFEwcEZaBSe3u7QCDAofnEiRPJycn00tf1My6Xq+PFtea5ZbTS2NiY95eW\n",
       "lhYNl6hH7UtHVj47Oxv/roSEhIjF4piYmJSUFDzwBJ9Ek6GQJJPJ9u3bh7dKSkqaO3cuUpUog1xy\n",
       "48YNPHc49SeQml4Dj11UmXCDusm9e/c03PW9e/cqKioOHjxIfQl/0HhJbm4u+bkTBEHcOYdq82Vd\n",
       "fuLb5kq1UplshCVUBGiYIggoaWtrEwgE06dPt7W1PXPmTHJysu6z0/eb9PR0fP6oSy8O/AXOzMzU\n",
       "40mWvb29319sbGw0XNKnixcvkuEY/XX6j18KDAzE59R4BYlEkpSUlJubSxBEWFgY9U+TSqVJSUn4\n",
       "cXJyckxMjFLmDURJphEaGqpyDCE1Xwe+E4ATbuAPIiUlBZfzxBNP4OxFo0aNeuaZZ3ruWmkTgiBu\n",
       "377d3NwcFBREdujGtfL39yebobKzs/FLD+vZ1RI2ZT7ye7pnrXCyEQ6Hc+zYMU3e4f6k4m3V/ZIQ\n",
       "mIzW1tYvvvhiypQptra2WVlZXC7XgDfr6SEeRa8QJnLLUHNx4ACnyRL18Cht/DglJSUuLg7nscNL\n",
       "JBIJtS9KSkpKbykvAgICyMwbYrF47dq1Spk3qCsrFAqVzVzUfB14LpveEm4sX76cIIiZM2daWVn1\n",
       "3DV1k7feegvfEgwMDORwOOSauFb4L8VrPkxnWnIctVQjhJDPU8jcWmWtVCYbYQkVH7nuc6kAE9DS\n",
       "0vLFF1/MmjVr+PDhFy9e5HK5VlZWhq6UdvTYr99YcstQU2SIRCJ/f39qjgtESS1JTseBb4Hm5uZS\n",
       "s8f5+/vjOWg4HE5sbGxZWRl6NPMGdafm5uYeHir6Qijl60CqEm5cu3YtPT3d3Nx806ZNve2ausmG\n",
       "DRs8PT2ptwSptYqLi0tJScFLwkb7S3e+ju6dR9aD1ddKZbIRtiB66HOFPolEInynkYz15E3kPvVz\n",
       "gnPQk1wu/+STT6KjozMyMjo6OpjenX4TnDMBzwfU21P14HhW79lnn9Uw1NTV1V2+fLmpqUnTorNX\n",
       "EHfO6Vo/7TGesF9pDRpBPy0tLSMjg5ognM0nHYAkl8uXL18eFxcXGhp67ty5f/3rXzD9GILcMmq1\n",
       "t7cXF9Of3JocHT558mQ1q1VWVpaWlkZERPR986P1PmqpQgihSR8jzym0K8YSzOaDhsFXxqKuru79\n",
       "999/9tlnx48ff+7cucTERKOYoVk9PGICz9bB2n5Uxu7+/ft2dvQTDK1ateqtt95auHDhxo0bVa5A\n",
       "EIRUKq2rqxszZkxfpwsEystAhxNQm5x2fdiGkV4c+LZpXFwcboyHhP1s9uDBg/fffz8hISE6OvrM\n",
       "mTPz5s0zgdCMLVq0CGc1wt0wyKEZQF8UCkV1dbUuc9Q5OzuvX79++/btKic3waMEbW1tg4OD+z4s\n",
       "T/wb1eajBSeRcxDt+rCNiimvcC+O6Ojoixcv9uzZrgk8VxZZGuo9v0dOTs7ixYupS0pLS+EuZf+o\n",
       "rKxcvXr1zZs333nnndWrV5tkl0p/f398fmCMyefYr7u728/PT5d2sDt37rz//vtyuTw1NZWccxZr\n",
       "a2vLz8/38vJydXXVqKzZqs/BjZqKAE2Fu6HQoGEjHR55RV2CE5zT2ynQUHl5+RdffJGbm/vBBx8o\n",
       "jc4yPWS/Wmjf0DtLS8vBgwf3vV7vUlNTd+3ahShThmMNDQ1SqTQoKKiPwVD1RejU/6FJH6PhE3Wp\n",
       "BmupuGrg8/k8Hg/3dNFk8seeGBp5BXR37949Ho/36quvJiYm4pmo1KyM04dOmTIFD8A1OrgDWWxs\n",
       "bHJyskAgiI2NhVGyenTv3j3dC1E5PLKqqqqwsHDMmDF9ROebW9AJHpq2zlSjM1J5Bk32Hqc9byPM\n",
       "6s1Cd+7cSUtLu3Xrlr29vUKhuHz58qRJk/B0bQcPHvzhhx+sra3ffvvtqVMfpl68ePHizp07jxw5\n",
       "YmZmtnjxYjc3txkzZhj0L9AadRBdcnKyXuYhBVhFRUVnZ6fu5Xz88cd1dXWnTp06ePAgQoggiKKi\n",
       "ovb29oiIiL4bnd3Go7CXWZjEWY9gVm/TJ5PJFi1alJKSMn/+/M7OzrS0tMOHD8vl8s8++wwhJBaL\n",
       "9+zZk5GRwefz09LS/vzzT7zVkSNH/ve//zk6Og4aNOiDDz44dOiQQf8IwCIEQVRUVOgyjVlNTc3b\n",
       "b7/94osvdnd3nzx5kiCIhISE7u7u/Px8S0vLkJCQXqOzohP9thJVXkIIoWFjTTs6I5UBekCNvDJt\n",
       "+fn5kyZNmj17tqur665duzgcTkxMTGRkpI2NzfLly0+cOIEQOnjw4IoVK1xcXLy8vP773//+/PPP\n",
       "eFtnZ2fyGvbu3bv9nJINsFlXV9eIESN06e3z0Ucfffvtt7t27Ro3bhxe0tHRkZOT4+rqqi7uV19H\n",
       "+2YgG2fk9hjtXRsXFU0c1KZ6er04MjIyqNN446f06gfouXXr1ieffHL58uV58+a9+eabYrF40aJF\n",
       "ycnJtbW1eIXm5mZ8893BweHBgwd4YW1tLZnW+bXXXps7d25ZWZmZmdmuXbtYmEcGGIqlpaWO0w+S\n",
       "hxzW0tJSUFAwatSoPm45VvyB4nYhBy9ddm1c+vgNxJ3ktAUjrwyFIIjvvvsuIiLirbfeWrJkia+v\n",
       "r0AgCAoKSklJaWhoCAoKun379qpVqw4ePJiQkPDOO+8ghN56662UlJQdO3akp6fz+fyFCxfiopyd\n",
       "nU+fPu3u7u7q6nrq1CmWTDCoFY4qhq6UKdA2rT6ppKQkJiZmwoQJEydOxB0HtmzZUldXV1BQEBIS\n",
       "0mt0vnsO1RcjhFDEGwMqOiOVZ9DUg3ggT1NvLMrKyk6cOOHq6jpixIjnnntuyJAh//73vy9dunTq\n",
       "1Cnq7yJBEJaWlocPH963b19xcfFXX30VERGBEBo1alRmZuaBAwcsLS1//fXXIUOGkJsMGjToxRdf\n",
       "NMCfpCdwWsCEjo4OmUxGnRagT5WVlUuXLs3OziZbPi9duqRQKDgcTnl5+Z07dyIiIiwsVHX57WxC\n",
       "55ailmo0W6iXyhudPpo4ADvdvn37zz//jIiIuH///rJly2bOnLl27Vq5XB4UFHTmzBmEEJfLjYqK\n",
       "GjduXFpa2qxZs86fP+/q6opzQr700ktKpXl4eLz99tsG+DNMTnNz82+//UZdcu/ePU3HWRiDkpKS\n",
       "Bw8eaHJDAvfHcHNzGzRoUFpa2vbt23uuUFhYSBDEmDFjer2yyXoX+cYh/2dVvzoA9DFQBbDQunXr\n",
       "Lly4MHPmzGXLll27ds3Pz6+8vPzo0aNr164lpzgyMzOzsbH59ttv9+7de/jw4eDg4Hfffdew1TYU\n",
       "sVgcGxuLrwXj4+MZ7fRZU1Nz9epVpSVGNLlBb2pqalxcXDgcjpeXl4+PT5/rEwSRmJh44MABhFB+\n",
       "fr5SZ+egoKD169fn5+c7OzurnkuwswWZmSNzazSbThOrKVEO0Dwej2x3FolEOMM3dGRmj66urn37\n",
       "9mVnZ589e3b//v3l5eUikSg4OBghFBQUdO7cucOHD0+aNGn//v3+/v4WFhZG3UahF7GxsVKpdM2a\n",
       "NTgDAaMXiN7e3kuXLqUukclkxj4ytrOzs6ysDM/XjjvO96m0tBRHZ4TQrl273n///bt37544cWLM\n",
       "mDEzZ878+OOPi4uLvby8nJycVGxcdBT9sRrN3YaGQM+CRwM07rNBHsH4KXTvZ4nW1tby8vJBgwZx\n",
       "OJw5c+aEhoZmZGTExsamp6evXr26tLR0586dBw4c2Lp16+7duyMjI9evX2/oKgNTUFxc7Ovrq9X9\n",
       "Veot5dDQ0MDAwOPHj+Oncrm8sLAwODhYdQ68E1xEKNB8EbJWFbsHnkcCNE6TRD7Nzc3Nzs7Gc0EC\n",
       "wxKJRGlpafb29pcvX7aystq4ceP8+fOzs7OHDx/u7+8/f/58FxeXzZs3BwYGrl692tCVZReRSIR7\n",
       "eaanp4tEIkNXx/iYm5tTbx1rws7O7tatW7t27RozZsyCBQvI5ZWVlVVVVeHh4b3mV5q8CtlCj/u/\n",
       "qWuDvnjxInRLMriGhgY7O7t33nnHw8Nj/PjxmzdvTkhIEIlE3377rb+//44dO9zd3d966y1DV5O9\n",
       "qAO+AQ2jRo2isVVQUNCKFSuoS4qKijo7O8PDw5WjSlM5OvseilqBhgRCdFbySIDmcrk8Ho88Zebx\n",
       "eNDNzoAqKytfeOEFPJeEvb39hQsXcH8AX1/f1atXm1LfAMBObW1t1tbWup+ldXd337p1y8nJyc/P\n",
       "T/m1m1tQ7hY0nY+GwOQeKjwyUEUoFJKTlvZ2vB0AACAASURBVHM4nJCQEN3bN3g8HqR5pIEgiH/8\n",
       "4x8PHjxISkrCpx6FhYUIofLy8rt370J01gQMVNFFfX19bm5ud3e3juW0tbXdvHnT09PT09NTxcs2\n",
       "zijpDHJ/Qse9mCrlJg69JP1S+hqoz9kPEEJ1dXVvvvlmRUWFQqGYNGnSoUOHqqqqCIKQSCR4TO3i\n",
       "xYtfe+01V1fX7u7uDRs2GLq+xgEfcnjqCbwE0t5qqK6urqioKDw8XPX4EY3J5fLi4uLRo0fb2tr+\n",
       "vZRQoJx05BuDHL1RQIKudTVpjGSz4/P5XC4XTxfL5XKVUnED0p9//hkXFzd9+vQnnnhi/vz5p06d\n",
       "mjJlyrp16xITE+/evTtq1KjPP/8cr1lUVHTgwIEzZ86cO3cuMjLSsNU2LtnZ2SofA/UiIiKsrKx0\n",
       "KaG6urqsrCwsLOyR6CwvRAdjUWczclB1Qg0exchAleTkZLFYTG3OBlQnTpxYt25dS0tLWVnZmTNn\n",
       "fHx8QkJCvvrqq6+//nrEiBFPP/301KlTHRwcdu7cGR0djc9lnn322aAg05lprT+JRCLykg56cfSp\n",
       "s7PT0tJS224bpJKSkr179wYFBUVERHR0dKgYJZiTjmZ8Ay3OGmJqJCEe2xIdHU1vThYTlp+fv2bN\n",
       "mp07dxYWFr7xxhsnT55UKBQVFRXNzc15eXlZWVk4yRFCSC6XP//88x9++KGTkxOZZA5oC3pxaK6s\n",
       "rKy9vZ1G7sn9+/evW7cuKCgoIyMDJxC3sLB4+umn/16jNg85eCErR/TkF/qssal7JECrvIVC++CO\n",
       "iYkJCAgICAiIj4/vbZ1bt259/fXX1CUXLlzA4+JMz+nTp7du3SqTyebPn+/q6trU1NTW1rZ06dKP\n",
       "P/54z549iYmJn3/+eW5uLkEQaWlpbm5uWVlZhw4d8vDwMHTFwYBQUVHR2toaGKj1uW1TUxOe9fH3\n",
       "3393dXX96KOP9u3b19jY+DBAd3eg39NQxe8ozignTlPS0dHR3t5uZmaGR/AXFRX5+PjokhpbvUcC\n",
       "tN5PNPpMNOrn56c0NLa+vt7Gxka/1TCIQ4cOHT9+3MPDIzQ09OTJk42NjeXl5Zs3b96/f//GjRsf\n",
       "PHhw9uzZoUOHdnZ2NjY2fvHFF1u3bnVxcVm4cGFQUNC1a9eamppWrlxpGm+FYeFcHPixSCSCvAW9\n",
       "wak2aHR0IXt6hIeHv/vuuytWrCguLv57MuJjLyDfGBS9AiEj60JTX1/f2NjY3t5ubW2Nu6BIJJKu\n",
       "ri5ra+vBgwfjAO3p6clcdEYMNXGQXwny+0C9k05lZWWl1DXSwcHB2HMXIITWr1+fm5ubkpLyww8/\n",
       "cLncX3/99eOPP66pqbGysuro6Kiqqjp8+PArr7xy6NCh7777rr29ncvlUkfHwm1APYqNjSXPEpjO\n",
       "xWHUaOfgd3Jy+v7773ft2sXj8WbNmvXYY495eXn93Sj3zE96q6L+KBSKzs7O1tZWgiBwg3tJSYlc\n",
       "LkcIOTg44LE5HR0d1tbWjo6O5E3OnpcXOt5H7ZOKAE3Nl4RonVYP5EljT58+feXKlW3btt24ccPK\n",
       "yiovL2/RokWNjY2+vr6NjY3Tp0//8MMPN23alJWVFRQUdOzYMdp3Y4BB8Hg8plPiGURVVZWbmxuN\n",
       "DRUKxY4dO1pbW1955ZWqqipXV1d3d3d07yISL0Nxu9Agxhvourq6Ojs7u7q6zM3NcX6PmpqalpaW\n",
       "zs5OKysrLy8vhFBxcXFdXR1CyM7ObvTo0QihO3fuNDc3W1tb4xy8CCEvLy9vb2/qBQQbRhuoCNA4\n",
       "Iwc+56U35RWiTBrL4/EGwnxX2dnZN2/ezM3NffDgwUsvvdTa2vr8888fOnTI3Ny8sbExIyPjxo0b\n",
       "ZWVl//rXv8zMzNatW3fkyBEdJw0CGtK9F4dp9+vv6uoqKCigfRd648aNxcXFVVVVO3bsIAjCzs7u\n",
       "36NvoTY5euYnZKtdgMPNuzjU4vrU1NQ0NTV1dnZaWFjgO+c4ITVCyNbWFt+sqqysbG5utrCwsLGx\n",
       "wQHawsLCzs4OL8El+/r64s1J3t7eSnvXMFFfP+ujiSM3N5deuTKZjIzRJj864IsvvigoKJgzZ86B\n",
       "AwdeeOGFmJiYDz74YPXq1RkZGdXV1WKx+MMPP3zqqadWrVrl7u7e0NBw7NgxY5xBykjp3ouDz+fn\n",
       "5+fjPqOmdwadl5fn5eXl7OxMY9v29vahQ4dmZGRcunQJLykuLkaJr6OhdPpu3b9/v6WlxcLCwtbW\n",
       "FgdoGxsbCwsLS0tLsiXBx8dHKSF1zwGKfUxsaFRUBGg+n8/j8ZKSkjgcDr1cHANn0liZTFZcXLx/\n",
       "//7Lly9zOJyNGzdev369ubk5MTFxzZo1H3zwwTPPPPPll1+ePHny7t27Z8+eNaVDh/301SvJtPv1\n",
       "h4SE9JpbTq3GxkaJRDJy5MhLly4NsUUr56K0k+jVV19FQ7XusF9fX+/k5NSzw9KgQYNoVMyUqAjQ\n",
       "5FBv2mO+B8iksWvWrMnOzh47dmxxcfFPP/2UmJj4+OOP42/yzZs3bWxsCgoK8EjZJ5980tCVHYi4\n",
       "XG56ejqXy9U9sJpwv34a0bm1tfX06dNOTk4KhWL9+vXblj39vF9Z98Tl3D1xNG6a1dfXV1VVqU7e\n",
       "P+CpCNC4f0xycnJ0dHRqaqopXc3pUVNT09GjR7OysjgcTk5OTmpq6oQJEwoLC0tLS4cOHRoXF/fe\n",
       "e+/pmMcA6EgoFAqFQrFYjE+l+Xy+LnlmNOnXn5OTs3jxYuqS0tLSqKgo2jtlGp4ySatNWltbP/74\n",
       "Yycnp9WrV7e0tHA4yGcqSh/y6duhNLNqKBQKpvtCGC8VESQlJQWf8OJ80CZ58qu76upqcpqJVatW\n",
       "Pf744+PGjZs+fToO0IauHfgb2QYtEAh0PJ77vBYMDw+/cuUKdcnrr7/Owm6jeMLWhoYGbZue//zz\n",
       "z4yMjIaGhrVr18aHEqdkqKENrclC742X06gD/vo0NTVBU0ZvVARoNv/gG1ZbW5tCobCzs+vu7nZ2\n",
       "dpZIJFlZWbt3775x40ZERMT58+cNXUGgAnWgCr3orHm/fvbDqTY4HM6IESNGjRql1bCUjo6OnJyc\n",
       "q1evSq6f278Q3b6PbMOSdu3ZN23atDfffFPDQgiCqKqqqqmpUSgUYWFhZmZmuCccUElFgE5NTYXk\n",
       "MkoIgvjPf/6Tk5NjYWHR3t7e3t7u5OQklUqTkpK8vLxwqiND1xEow4cxTqyoSzmm0a+/qamppKSE\n",
       "IIgxY8YghFRPCdi7lpaWgoKCrKysC+fP7XgBfX4Gffzdz8vmzdu5e69W5bS1teF0H9bW1lptODCp\n",
       "GKSILwkxIz0W9W7v3r3Ozs7nzp3bsmVLZWWlubn54MGDV61aNXv27KtXr/7444/0OvmDfpCenq57\n",
       "wn6yz2hmZqZMJtNrBftDQ0NDWVmZj48Pjs7aevDgQUFBQYjv0MQFzykI9MJOZDb8ibi4OBpF2dra\n",
       "ent7Q3TW0CNn0PjCTekgHsht0HK5/M033ywvLy8sLHzvvfckEskbb7xhbm4+bNgwPKt8RkaGoesI\n",
       "eqXHQ9dI+/U3NDR0dna6uLg4OjqGhITQK+Tu3bu1tTUR6DeLX3fPfU589erV4uLiOXPm0MhBgZvj\n",
       "GU1eYWIeCdC4WW1gRuT79+8vWbKkpKRk8ODBCQkJO3fu7OzsrK6u/uyzz+Lj41euXPnhhx9mZWW9\n",
       "++67y5YtmzVrFkIoJydH9Sw+wLQYY79+hUKRl5dnaWmpNKxD20Ju3bpla2sTIfsAjZyOnj+LzCwi\n",
       "IyNp54q5d++enZ2di4sL7SoNNCraoI33BogueDxecnLy1KlT//jjj9mzZ8tksmHDhgUFBR06dGjb\n",
       "tm1OTk4+Pj4lJSXffPONlZXVzp07T58+XV9fv337dkNXHDDOGPv119XVPUyLQVdnZ2d+fr6rq+uI\n",
       "ESOQ10FkYdv3Nn2pqakJDw/XvZyBQ0WAzs7OprZysP9YpK2jo+Obb745ceKEp6fnnTt3pk6dihAq\n",
       "Ly8PCwurqam5c+dOfX29SCQ6c+ZMWFhYUlLSO++84+vri4dry+VyDw8Pdo7fB0DHs9TGxsbbudcD\n",
       "yoVOIUKEELKwvXHjhlQqfeqpp2hn7WhubraxsYGvjFZUBGjdIzKbuyXV19d/+eWXEokkPDy8rq7O\n",
       "3d39yJEjBQUFkydPvn//Pj5fkMlkS5YscXV1Xbly5QcffPDDDz8UFRWFhYVNmjQJF+Lo6AhTnBgL\n",
       "3bMzGheCINra2h6ZBlBLNTX37+RdGFP/k/Xsz5DlIITQyZMnZ8+ejRB68sknT58+TS/IWllZKWUs\n",
       "An1i5CYhm7sl/fOf/3z55ZeTk5OPHj367bffVldXI4QiIiLi4uJmzZqFZ9QmCMLGxsbPz2/Lli0/\n",
       "//zzoEGDhg4dCjObGCmcndHQtegnBEGUlJTY2NjQDtDFxcVNjQ3hntbmU3fiJZcuXXr77bfx43Pn\n",
       "zpWXl9PruWxpaUkv6cdAxtRNQnamG62pqbGxscHT8yxevPi///1vbW0tvhhsbm42MzO7f//+vn37\n",
       "pk6dmpOTU1dX9/bbb0N6I2NHL+GXUWhra2tpaWlpaRk6dKiNjU1DQ0NRUZGDg8Pw4cNplKboaJb8\n",
       "cdTSfWzYmHAOJ6KtrU0kErm7u1N7rUyZMmXEiBFaFdvS0nL//v2GhoawsDDa3RwHLKaSRbCzW5K1\n",
       "tXVDQwP51M3N7R//+Mdjjz22Z88eS0vL48ePk7e84VaGKTGBeyoKheL+/ft4kNTw4cMHDRrU3Nxc\n",
       "VlaGT5bxmamjo+PYsWPpld9Vcjr/lsTZdbhnwMNcdImJiUePHqWu89RTTx04cECr9o3a2trKykpX\n",
       "V1dPT0+IzjSoCNC6z+GmebekmpqagwcPUpfcunWLuaGfDg4OwcHBS5cunTZt2pEjR8aNG1daWnrl\n",
       "ypWVK1e+9NJLcACZJKNo4ujs7Gxvb29raxs0aJCNjU17e7tEIsFz/fn5+Tk6OnZ2duI0A4MHD8aD\n",
       "AO3t7fU1vXJLo7yguM5/3FwnNx+8pKuri4zOkZGR165dmzx58tdff40n4uuTQqFobm52cHBwcXGB\n",
       "TnW6UBGgdZ/DTfNuSd3d3UpzPllbW+v96ySTybKysjw8PObOnfvNN9+IRKJ9+/bl5OTMnj2bz+dD\n",
       "7nzTxuVyyes5Nuju7r53715HR0dHR4e7u7uzs3NHR4dMJrOysrKxscFpg6ysrEJCQqjnqtbW1vQa\n",
       "LvpQ8Ue9baCssGj0E3Nra2u7HzzA6ZMsLCxiYmLEYjFCKCUlZeHChZoX2dbWduvWLV36XwOSigBN\n",
       "bbOjlzhJ814cbm5uiYmJ1CXHjx/Xb/av48ePp6WlJSUlHT9+fNu2bQsWLFi/fv306dO//PJLNsw5\n",
       "BpiWnp7Otl4ctra2Tk5ONjY2OM0mDsfUFTgcDuPd0drr0dn3qs1HlTtbjRkzJjU1dc2aNQihX375\n",
       "5amnnkIIHTx48MyZM25ubloNS2loaCgsLAwODoYJ6fVC9ZyE1AMaX/hrdVgbvBfHjRs35HL5hAkT\n",
       "bG1tv/zyyyNHjjg6Ov70009vv/32kCFDDhw4ABlBBw42RGQqc3Nzw58ZdLWinxdIfP5b2Wp7+8qV\n",
       "0rIyHJ0RQkKhEAdoGxsbGt9ce3v7iIgIGMytL4z0g0aG68WhUCheeukla2trDw+P//3vf7t3725v\n",
       "bz98+PDmzZtnzJjxr3/9a9asWRCdwcDV3Y7MrbuQ5RWvT9NWpB07dgwvtrGxaWtrQwjhjqc0VFdX\n",
       "Dx06FMah6JeKHzoej6d79i8y45dQKFy0aBH9CmrpxIkTXl5eW7duTUtL27hx48svv1xSUrJ///6j\n",
       "R4++9NJL58+fnzhxYr9VBrABnlEFw42qA1f+j2jPk+2tzTk5Ob/88gsZnRFCODojhGi0dEskkmvX\n",
       "rlVWVrLtYsUEqG7i0PGNNmBymbt374aGhnZ1df3www8//PDDgwcPbty4sW7duoSEBCcnp40bNzo4\n",
       "OPRPTQBL6H7TW3P19fWXL1+mLrl37x69CbP1rKsViV5Eg/0bY49K8m8FBgbW1tZSX1+wYMFPP/2E\n",
       "ECLHpPRJoVDgpgwfHx+Ys4ohfdwkpMeAyWWeeOKJ559//vvvv//nP//5/PPPNzc3u7i4fPbZZ/2z\n",
       "dzDAyeXyq1evUpfU1NRo2DWNWeZWaNq6++32d0vu1tXVrV+/fsGCBadOnSooKJg4ceKPP/7o7+/f\n",
       "2NhoaWmp4c29Bw8elJSUREREmJubQ3RmjuqBKsbYsb+trU0oFO7du3fSpEn5+fm7du2aMmXKqlWr\n",
       "DF0vYGAikajfZgjy9vZeunQpdYlMJjPknIR1EnTxIxS3m0BmsqrOrq6a5uZmnFUDIVRZWWllZUX2\n",
       "c9X84lKhUBQXF48dOxZanJnGSBNHP2ttbU1PT9+7d+/LL7+clZUFv+eAipw0doAh0NWvUeFRNEPQ\n",
       "rSBu3SpwcnLy9PT85ptvyDVKSkomTJhAo+jGxkZPT0+Izv1AxU1C3LG//6tCQ0tLyxdffDFr1qwh\n",
       "Q4ZkZWVxuVyIzkAJezIN9Kv2emTliBJPtg0KyMnJcXd39/T0LCws/O233/DrkydPjoiIoFe2k5MT\n",
       "zPHWP1QE6PT09ICAAB17cTCtoaFh+fLlEydO3Llzp6Wl5a1btwbkWRLoG85vzvLjWW8UXSh/O0IE\n",
       "sh6MxrzW2NScn58fGBiIx1u/+uqre/bsQQglJCScOnUKxpKwn4oATTyq/+ukXn19/fLly2NjY4cO\n",
       "Hero6Hjy5MmsrCxPT8+VK1caumqAjVh+POtT1TW0fybqbEGIgxCqra0tLCwMDQ0l71KePXsWP2hv\n",
       "b6d9rdnZ2Xn79m291Bf0yZgG/Mjl8uXLl8fFxYWGhp47d87LyyshIQFn0vj3v/994cIFQ1cQsAtu\n",
       "3BgoTRwt1ejSajR3G4p4AyF0586dqqqq8PBw6vzZGzduxA+WLFlCez8EQeAsTqAfPBKgyUO55wPD\n",
       "evDgwfvvvx8fHz9+/Phz584lJiaamZm5uroWFRXhFSorK1nRmQmwCU5AbPpNHE33EELIbhiat7+q\n",
       "ze748ePXr1/Pz8/ftm2b0lkLj8fDlxHTpk2jvbeKigpoG+k3bD+DrqqqSk5Ofu6556Kjo8+cOTNv\n",
       "3jxymP+kSZPq6ureeeedb7/9NjEx8ZNPPjFsVQHbCIVCgiCioqJMtomjswmdSUHn/oef3blzZ/To\n",
       "0Xl5eUuXLp07d+6aNWumTp1aUlKi330OGzbMz89Pv2WC3jCVsF93FRUVn3/++c2bN5ctWyYQCHqu\n",
       "wOFwdu3adeHChZqamkOHDhk+AQ1gJZZMhql/zZXo0Dz0xP9Q4MN8kNnZ2atWrfr+++9zc3PJtQoL\n",
       "C/WS+bOhoUGhUAwePFiX2Q6Bthg5g6ZmP6CRA6GlpSU5Ofmll16aN2/e6dOnZ82apWblyZMnx8fH\n",
       "Q3QGA8Tf1wH2bugf58nofP/+fU9Pz48++ghH53HjxiGEpk2bRi9jsJLW1lapVIpzVYP+9MgZNG6t\n",
       "w491aa0j043ipzKZjJqao0/nzp37/vvv+Xy+abYYAkDXsWPHvl/y9OsTkGLegfnz5yOLh23BxcXF\n",
       "ra2tkyZNOn369O+//z516lRvb+/y8vKRI0daWOjhKrmwsDAoKEgvRQGtPPKO67GFjjqBhb+/v1Y/\n",
       "43Pnzn322Wf1VRMATERni/nJ1+OC0cLdaFwhf/78+QghhUIhkUisra1xyv/w8HByOk09thTjWRD1\n",
       "VRrQHCNNHNnZ2dSxiDKZLDs7m4kdAdAngUAgEAhwEl2VNzOMhqLjdG3QWwdRU/vDvBkdHR05OTnO\n",
       "zs6+vr6M7hnmFTQURq5ZRCKRUn7R3pLUdHR03L17l7qksbEROvEAPUpJSSEIAica5XA4ycnJhq6R\n",
       "lprK0Y31aPIqZD04efWOOuvlCoXio48+amlpuXXrlr+/v6OjI3M7b29v7+rqgj6shsJIgNY8PU1R\n",
       "UdHXX3+ttIReAhcAeiOTyXS5V0ad5x6jN9s9HXnbUE46evJL/MzDw2PTpk0Iodra2tu3b4eGhlLH\n",
       "oTChuLiYkclqgWYYCdCaTxo7evRooVBIXZKRkWHI9IzA5HC53ICAAJFIxOPx+Hw+jRJ0vOlNX30x\n",
       "aryLks4g80ei8N27d+VyeXh4ONP55Nra2trb252cnBjdC1CDkQBt8EljASAJhUJ8EqDLcajLTW/t\n",
       "EejeReQxGTn5oompj7xAEMXFxd3d3aGhof3Qx0kul3t5eTG9F6AGUyMJyUljMzMzjSV5KTBJuFc+\n",
       "j8fj8Xj05iTs15vechk6EIvKVZTf1dWVm5trb2+Pk00yVQEKd3d3VszXNYAx1bFRJpORMVqXhB7p\n",
       "6enbtm2ztLQMCgr69ttvmW5xA6YnNjZWKpWuWbNGKBTSm5NQ85veeXl5KSkp1CW3b9+eNGkSdUlZ\n",
       "WVldXZ3qXMx1EnSCh2Z8g4aOUXoF3xIcNWoUNDgMKIwEaH1NGnvlypVTp06dP3/e3Nx806ZNa9eu\n",
       "XbZsmV5rCkDfNL/pHRoaeuLECeoSpXsqBw4cWLBgAULo3//+9/fff//3et3tyNwaDQlESWd6FiuX\n",
       "y4uLi4ODg2GY9UDDSBOHviaN/f3335977jl8J+Sf//wnJBQFNODz3/T0dA6HQ29OQjJ1AdlCQvui\n",
       "cNeuXfjBhg0bHn4pujvQ75+iX1/tbZOKioq7d++Gh4dDdB6AWJ3NztfXl5wj+fLly5BDC9CAz38x\n",
       "evcJ8U1vgiAyMzPptWKTIiMj8YPZs2dzOBzUUIb2TUO2rij2x54rEwQhlUpbWlpCQ0NhAsCBidWD\n",
       "62NjY/El4bBhw3Jycg4cOGDoGgFjovJOGr2LOfKGCo/Ho9dehy1btiwwMPD+/fsvvvgiQgjZuqBn\n",
       "DyE7FfP7dXV1FRQUuLi4jBgxgvbugLFjdYDmcDg//PBDcXFxc3NzcHAwnEQAreixq7K+bnpzOJzE\n",
       "xERUno2ufoRmfIMs7ZGlikF6bW1tBQUFPj4+Q4YMoV9pYPzYGKDPnj3b2dmptLBnxyaFQvHLL7/g\n",
       "pAT0NDU1WVtbW1pa0i7hwYMHuvRD6ujo6Ojo0CUNTV1d3eDBg2l3uiIIQi6X6xIFmpqarKysdJlM\n",
       "PScnh7zw1y88PErpzaERtXW86U09ns2JzsfbM+1QQ7Z1UpssXWnN2traK1eu+Pn5jR8//vz58w0N\n",
       "DdpWtTe6f0y9kcvlTk5OTHT70/HL1f8lKxQKR0fHqqoqPR7PrAvQMTExdnZ2mqwpl8tv3bqlNAZX\n",
       "K0VFRcOHD9flEvLs2bP4pjw9JSUltbW1umS6+f333+fMmUO792Fra+vly5fj4uJoV6C4uNjd3V2X\n",
       "fNwNDQ1Tp06lvbkaePCq7ufRutz0Vjqe7buqGzrH37Ydb4tQz1t+EonE0dHxscceu3HjhrW1tR6z\n",
       "nJeVlQ0ZMsTDw0NfBZKuX78+ceJEJvKB6Pjl6v+S5XL5jRs33nvvPX0ez4TRqqysfP7553UpYeXK\n",
       "lSdPntSlhGnTpumyuUgk+vzzz3UpISEh4cGDB7Q3r66uTkxM1KUCaWlpx48f16UEHd/DPlGnvFKa\n",
       "/optxGLx6tWrmSh5zZo1R44cYaLkl19+ubi4mImSmTswGCpZIpG8/vrr+i2T1b04ANAFTjFKnTTW\n",
       "0DUCQDsQoIHJ6jlprMnOTwhMFARoYOIgKAPjBQEamDjc0AGtHMAY0ckdwxIEQeDMvLRLuHfv3uDB\n",
       "g3WZLUIikQQGBtLevLGxsampSZeE6DpWQPf3sLy83NHRUZeegjr+CX2ilyDJIHQ/HnpTUVFhb2/P\n",
       "RF8LmUzm5+dnZqb/Uz3mDgyGSu7q6iotLR01apQeyzSaYxcAenqbLAIA9oMADUyc7gNVADAUCNAA\n",
       "AMBScJMQAABYCgI0MHHQiwMYLwjQwMSlp6eTw1W4XK6hqwOAFiBAgwEkNzfX0FUAQAsQoIGJ4/P5\n",
       "PB4vKSmJw+GEhYUZujoAaEO/uZeYFhUVhautlJZM8z+kZwm9lanh5uRVs0gk0uVP4PP5fD6fXgnU\n",
       "K3c8OZNWm/P5fLyEy+XSqAC5OdbnX6Gm/n1W3vQw927oeKhrVTKm+TGsecnaHpwaFquvN7nn11+/\n",
       "B7MxnUGLxeKwsDBc77CwMDw7HJ7Qk3YJKsvUanP012+DJpmpe9udWCxOSUmh9ycghHJzc8mjAU/8\n",
       "odWfkJ+fj5fgFbStQHJyMvV4TU5O1rYCubm5BEGIRKJFixZp8iaYDObeDR0Pda1KJpdreAxrVWet\n",
       "Dk7Ni9XXm4we/frr/WBmXcJ+NWJiYshJP0NCQvADiURCEISGsxD1LEFlmfQ2p/0nyGSytLQ0kUgk\n",
       "kUjolYAQwsO1uVyuUCjUanO8U/wjx+Vy+/xz1LxjPB5vyZIl2m5OHWjORBMEmweqqPw4kpKS8Eu6\n",
       "TEah46GuVclIy2NY85K1PTg1LFZfh1zPr7++Pj6SMZ1Bk/DvKn5r1J+vaVJCb0s03xx35FK60te8\n",
       "hICAABpjkckSxGJxdnY2/hkPCQnR8CyD3Dw/Px/9dRag+eaox5uAN1R//q5yc39//9TUVA6Hk5aW\n",
       "pv7XhR7qBSNre3FQ30wyTQR5Ya6vkntbonvJ9I7hPkumfXCqL1a/h5zS11+/H58xnUFjPB4PIaTL\n",
       "29qzBK3K7LmyUCgUCoUCgUAgEGjyg0EtQSAQoEfP8rQtISYmhjwrDAwMlEgkfX73qJuHhISQh5SG\n",
       "myNVb0JmZmafp88qNxcIBPgyViaTMZ3YKD09nYnfAB0pvZnkR9BzHk4dS1a5RPeS6R3DmpRM7+DU\n",
       "pMJ6POSoX3+k148PISO8SajyXpzmNz16ltBbmZpsLhKJyLsiGt4h6W131KJ0qUOff0vPzcnbL5ps\n",
       "3rMEcqEmle+5OfV9Y+KApB7tutxoYkjPjwO/k+QDfZWscom+SsY0P4Y1LJnGwalJsfo65Hp+/fX4\n",
       "8T2snu5F9Bul61PqoaDhe9GzBDVl8BjQdQAAIABJREFUalgBcqEmX341u9Pw4FZfhz5LULk5eXVG\n",
       "uwJSqVTD2Kdyc/JiUC/hw4io/zR16Qag46GubZ0xHQO07gen5sXq65Dr+fXXby8OSJYEAAAsZZQ3\n",
       "CQHQEDURh1gsFggEOt5oAqA/QYAGJgvfFyKvFjMzM/XSewGAfgNNHMBkKd2gj46Oxv0RDVglALQC\n",
       "ARqYrJ49qIxofkIAEDRxABPG5XJxKwfG4/FYO1AFAJUgQAOTJRQKQ0JCyJuEISEhLBylAoAacMUH\n",
       "AAAsBWfQAADAUhCgAQCApSBAAwAAS0GABgAAloIADQAALAUBGgAAWAoCNAAAsBQEaAAAYCkI0Krh\n",
       "uXDwHDYYnj5cJpOp35DH4/W2jsrZxzkUulQY/TXzEHVHupdpvKKjo/G7qmZC4Z7rUNOTKn2Oal7q\n",
       "c6cqPwh6Bar5u+gVSG6llIhVIBBQD07qd6Gfa4j1fA91r6HSJrQLJDfvuYkmxyGGYw6VWCyGAN2r\n",
       "qKioffv2kU8zMzP1MgskFYfDIadd4PP5Kr/GmiNrC6NDxWJxWFgYfmPDwsJU5oBWuU5ubi75iShN\n",
       "gKvmJTUF4t91lZWkUaD6v4tegeivjKxKs1AnJyeTmVq5XK7KaQb7oYZq3kN6NRQIBOSS/Px8ag3p\n",
       "FUguT0lJ0XDl3ijNDBUTEwMBWp2kpCT8nspkMupM9eSJAJmLh1zSc53efofFYjGfzycP0+TkZC6X\n",
       "KxaLZTIZtVh8oqG0R5lMpvTLzOPxsrOz8as9j2alyuAjvudJk8mIiYkh025QPzhN1gkICKB+slRq\n",
       "XuqtQIlEQlAmWNKxwD7/Ll0K7A2Px+ttOuB+qCHq6z3UtoZKFZNIJLoXKJPJ0tLSRCKRJitrBQK0\n",
       "OnFxcZmZmQihY8eOxcXF4YXUkw78lLokPT1d5To9C5dIJOSMxVhISIjKwwXHaFxabm4ueW1Ili+T\n",
       "yYRCYVRUlMovW8/KZGZm4hOZgIAAWm+M0RCLxX0m6SfXEYvFOGE0QRAhISHUT03NS+p32tv81rQL\n",
       "VLOEdoH495uc/U9pTYSQyrPdfquh+jnCta1hcnLyvn37lE6ndCkQIRQQEHDx4kUNV1YjOzub2sSB\n",
       "IECr5+/vn5ubixDKz88nPzCJRBIfH48fx8fHSyQS6hKc0FIikaSnp+N3OSUlRWXYxdPI91yoshpk\n",
       "VjZyLvewsDClB73pWZklS5bgE5ljx45p8DYYKx6Pl5mZqf4MkbpOTEwM8VfrkNKno+YlGjvVsUCV\n",
       "u9ClQKFQiLftebWXmZnZ27lkf9ZQDRo1vHjxIvk7oXuB+E3jcDixsbEpKSk930PN/xylJg4EAbpP\n",
       "SUlJAoGA+kEGBgbi02qEUGZmZmBgIHUJDuiBgYHUSYhVngLExMSkpKTgn2vc2kD+xuJCEEL4fBx/\n",
       "5LgoGu3gPSvj7+9PEIRUKqU2spuY6Ojo+Ph49d8KpXVwAyV+rHR9o+YlbXeqY4G97YJegdStVMrN\n",
       "zVV/Lsl0DfukbQ3FYjHZwJKSkkJeGdMukGy5xpOaK33Ztf1zlBFAFalUin/NpFIp+msG9aioKPxA\n",
       "zVzrPddBf03trvLdVvo4cIFkFOZyuVKpFNeBXCISiaRSKXXXeI/or19gRGnQUKoergz5VMc551kI\n",
       "vwNKifnx75PS6YnKdciF5E8auZWal9QU2HNNXQpU/3fRq2HPg5ncinqYGbCGat5DGjWkLiSPfx0L\n",
       "xHCApm6lyXFIon7NyfUhQIOBorcvBhQIBbK2QEjYDwAALAVt0AAAwFIQoAEAgKUgQAMAAEtBgAYA\n",
       "AJaCAA0AACwFARoAAFgKAjQAALAUBGgAAGApCNAAAMBSEKABAIClIEADAABLQYAGAACWggANAAAs\n",
       "BQEaAABYCgI0AACwFARoAABgKQjQAADAUhCgAQCApSBAAwAAS0GABgAAloIADQAALAUBGgAAWAoC\n",
       "NAAAsBQEaAAAYCkI0AAAwFIQoAEAgKUgQAMAAEtBgAYAAJaCAA0AACwFARoAAFgKAjQAALAUBGgA\n",
       "AGApCNAAAMBSEKABAIClIEADAABLQYAGAACWggANAAAsBQEaAABYCgI0AACwFARoAABgKQjQAADA\n",
       "UhCgAQCApSBAAwAAS0GABgAAloIADQAALAUBGgAAWAoCNAAAsBQEaAAAYCkI0AAAwFIQoAEAgKUg\n",
       "QAMAAEtBgAYAAJaCAA0AACwFARoAAFgKAjQAALAUBGgAAGApCNAAAMBSEKABAIClIEADAABLQYAG\n",
       "AACWggANAAAsBQEaAABYysLQFVB29+7dnTt3GroWoP+YmZktXrzYxcXF0BVhBBzPA41+j2fWBehT\n",
       "p07V1NQ89dRThq4I6Cd79uy5cuWKqX7icDwPNPo9nlkXoBFCISEhs2bNMnQtQD+5fPmyoavALDie\n",
       "BxT9Hs/QBg0AACwFAdoA2traWltbDV0LAICuampqOjo6mCsfAnS/unLlypw5c5555pmnn3563rx5\n",
       "165dM3SNAAA0dXZ25ubm1tXVMbcLRtqgxWJxbGwsdYlIJIqJiWFiX0aEz+efOnVq69atHh4eCKHS\n",
       "0lIul7to0aIXXnjB0FUDAGjN0tIyKirK0tKSuV0wEqDT0tKkUqm/vz9+KpPJAgICCIJgYl/G4rvv\n",
       "visoKMjMzDQ3N8dLvL29f/7556SkJBcXF7jLDwDLKRSKyspKhULh6elJLrSysmJ0p0w1cZDRGT+O\n",
       "iopiaEdG4ddff83KytqwYQMZnTFra+sdO3akpaVVV1cbqm6gT2KxmMPhcDgcsViMl0RHRxu2SqA/\n",
       "KRSKe/fu/fHHH7dv325sbOzPXTMSoLOzs2UyGflUJpNlZ2czsSOjsG5dw8KFrXZ2Ow8eNOt5O8HB\n",
       "wWHVqlXvvPNO/1RGJpNxHkUGHc1xOJw+l2i+LfvhK0KCIDIzM2m8XcB4dXd3l5WVZWdnSyQSe3v7\n",
       "yMjI4ODg/qwAIwFaJBIFBASQISAgIEAkEjGxI/ZraUFr18pmznzM1dXq/ffRlCmorU15nSlTphAE\n",
       "8dtvv/VPlaKioggKGvcGerZWmXz7Fb4iFAqFmZmZ1JMPYNpycnIKCwvt7e3Hjh0bHh7u5OTUzxVg\n",
       "JEDHxMQQjxqwdwjPn//1mWc27d7t+dVXqKAAvf02slDV7L9q1apPP/2032v3kEwm4/F4+NdUIBDg\n",
       "x/gqnvoSj8fD6+OzYIFAEB0djR+T58UCgQCvjDfvua2RIoOyUChctGiRYSsD+o2np+e4cePGjRs3\n",
       "ZMgQg1SA2V4cZOeN6OjoixcvMrEvduroQHV1yMWla8WKFceOHcMLLS3Riy+qXt/Hx8fDwyM7O1up\n",
       "sX7Lli1SqVTbvY8ePfrll1/u7dXs7GxqOwM++U1PT8cPOByOSCQSCoU8Hk8sFgcEBJAv4SXU39qw\n",
       "sDDqxyqTyfbt24dXFggE//nPf8jyo6OjZTIZ9c6EEcnIyKDe5cZPe1tZqdNVc3Ozra0ts/UDekIQ\n",
       "RHNz86BBg8glrq6uBqwPYroXBz5vGoCnzy+/jBwc0GOPbU1MTFT521tUhLy9EfWW4XvvvZeamqoU\n",
       "oCMjI729vbXdu/qjKioqquePJZfLJV9V+rzIl+Lj4yUSCfXVkJAQ6ppSqTQpKQk/Tk5ORn+dUGtb\n",
       "f7bx9/entuEoPaXKy8tbsWIFdcn169fHjh37yiuvMFtFoBuCIO7fv19cXNza2hodHc1ozzmtMJWL\n",
       "g2yz4/F4ak43TNKRI+j4cXT9emdS0g+nT59WuU58PFq4EC1Z8veS0aNHd3Z2lpWVjRw5klw4btw4\n",
       "pmvbp/T0dKFQiBDKzMyMj49Xs2ZAQEBaWhoOzfgqis/nk2fQ/VNbJuC/JSoqKiwsLD09HSFE7UVK\n",
       "FRoaum/fPuqS119/XaFQ9FNFAS04NDc3N9vb24eFhbEnOiPmAjR5PSsUCtV8OUtLSzds2EBdcunS\n",
       "pccff5yhWvUDhQItW4Y++gj98su2559/vrfL2w0b0Jw5KCEBUb/mr7/++qZNm5hujFZq4uDz+XFx\n",
       "cWrW53K5eH0ul6v+Ysjf3z8pKYksXCqVBgQEpKSk4G17C2rsl5aWRhCEQCAgG3AGWpOdqWpubi4o\n",
       "KGhsbLSzswsNDXV1dWXbBR8jAVrzNrvBgwcrJfrKycm5d+8eE7XqH3v3Irkcvf66YsaMLadOnept\n",
       "teho9Nxz6IMP0P79fy+MiYlZtWrVihUrzMwY7J+u8vIcnyMjhMi4g5fgm2NKm+Cn+EyZugQvVLlc\n",
       "zRJjERgYSDbgANPw4MGD7u7u4OBgNzc3toVmjJEArXmbnZOTk1KA3rt3r1FfEg4bhjZsQMeP/zxz\n",
       "5kx7e3s1a65ahUaPRn/8gSZMeLjE3Nx82rRpWVlZM2bM6I+6Ao3JZLKYmJgBeDfFtHl5eXl5eRm6\n",
       "Fur0U7Iko26C1MrMmejpp9GmTZv+7//+T/2anp5o2zY0ePAjC1944YUff/yRwfppyd/fnzy5HrCU\n",
       "LgE5HE5GRoYB6wPoaWxszMvLYzS3kd71U8L+AdVgJ5FIHB0dhw8f3ueaCxYoLwkLCyssLOzo6GB6\n",
       "jD/QnNIloPG20gxYLS0txcXF9+/ft7CwYPkpsxI2zqhipFpbUX09cnd/2HeFdjkzZsw4efKkUjpA\n",
       "AAANbW1tJSUllZWVZmZmI0eOHDlypIXKoWJsxUgTB5lcRpeED0YnLQ2lpaHOzs7ffvtt6tSpmm+Y\n",
       "k4NKS/9+umDBgp9++kn/9UMI/ZWLQyAQkEvwh9Xn8GUej9fbOprcXVGzOQAMaW9vv3TpUlVVlYeH\n",
       "x8SJE/38/IwrOiOGAjSZXAaTSqUmfz5IEGjnThQTg44dOxYTE6PVHeE9e9D//vf307CwsIKCgu7u\n",
       "bv3XEiGEUFRUFLWvbmZm5gDPNQhMlaWlpY+Pz4QJEwICAoy0zRDSjepHVhZqa0NPPYV27ty5cOFC\n",
       "rbblclFmJioq+nvJxIkT//jjDz1XkSIpKQlf08hkMupowJ6pM8glPdehnob39lLPzQFgDkEQ1D5g\n",
       "uFnDxsbGgFXSEaQb1Y89e9CCBai5ub6hocHHx0erbX180Ny5iNpXIi4uTiQSEQRauBDNnv33v8zM\n",
       "hyuoeUkTcXFxmZmZCKFjx46Ro1RwyMYXPfgpdQkeQddzHbJMTTYHgDm1tbWXL1++cuWKoSuiT4y0\n",
       "yOB0o0pLmNgRe1y5gjZsQJmZmfPmzaOx+X/+g154Aa1YgfCP/ZNPPpmWlsbhoHnzkFz+92qjRz98\n",
       "oOYlTfj7++fm5iKE8vPzyXElEomEHMmN027gB3gJzsghkUjS09PJaMvn88muwT1f6rk5AExoaGgo\n",
       "LCyUy+W2trYmlliCkQCN040yUTJrXb2KEEIrV+7fvHkzjc1nzkSzZqGOjocB2srKysnJqbq6Oilp\n",
       "WG+b6DioLSkpSSAQUNs3AgMDMzMzccAl026QS3BADwwM5PP51LGC1M2VXhKLxUqbA6BfbW1thYWF\n",
       "1dXVlpaWAQEBHh4eJtaeBrN6641cLm9vb3d3d6exLYeDdu1Cjo5/L5kxY8aZM2f0Vrke4uLiUlJS\n",
       "qFk4cCQlm4zJgXPURuSYmJj8/HyVnXN6vtRzcwD0SyqV1tbW+vj4TJo0ydPT0/SONA7bTnVx9q8t\n",
       "W7YYuiJa27FjR21trcqzSxry8/O//vrrTZs26aU0Nlu9enVkZKSpTptrvMezUejs7CQIglU9NPR7\n",
       "PMMZtK5yctBnnyGE0M8//6w+G6cmWloePggJCcnPz9exNABMjFwup/bTsLS0ZFV01jsI0LrKyECF\n",
       "haitra28vJxGcn2qe/fQqFGInFjW19e3pKRE9xoCYALkcvnVq1evX79uXMk0dAQBWldHj6K4OHT+\n",
       "/Pnp06frWNSIEcjWFh058vDpjBkzzp49q2v9BjCOKjTKGZgjY9mjpaUlJyfn+vXrHR0doaGhLi4u\n",
       "hq5R/4EArROZDBUXo9mzkUgkevrpp3UsjcNBixahbdsePn3yySezsrJ0LHMgI1ShUc4AHBnLEgRB\n",
       "FBYWXr58ub6+3s/Pb8KECcOG9dqvySRBgNaJSIQmT0aOjujy5ct6mQhm8WJ0/DgqL0cIIX9/f9wZ\n",
       "GRjcQBsZyxItLS13794dPnz4xIkTvb29mZvIQltFRUXff//9M888M3369Pb2duZ2ZGSpQ9gmNBQF\n",
       "BCCZTObn56eXo8fLC02dirKy0AsvIISQh4fHvXv3PDw8dC95wMIzCuKRMvHx8TSS7uORsWSMHggj\n",
       "Y1nC3t7+ySefZEnnufr6+uPHjx85ciQ/P3/8+PFPP/30rl27qFOAMwECtE5mzkQIofXrf5k7d66+\n",
       "yty/H1lbP3w8efLk7OzsxMREfRU+AMXGxkql0jVr1giFQg6HTr9SzUfGymSyNWvWUJdcuHBBae5z\n",
       "oEZzc3N7e7uzszO5xLDRmSCIa9eunTx58tdff7W2tp42bdrSpUtDQ0P7rQIQoPXg5MmTGzdu1Fdp\n",
       "Tk5/P46Kivrxxx8hQBuW5iNjR4wYoTSovbq6mumTLLaprq4+duzYoEGDnn32Wc37wHV2dhYXF5eX\n",
       "l9vb21MDtEF0d3dfuHDhyJEjFy9e9Pb2jomJ2b17t5ubW//XBAI0fa2tyMYGdXZ2PHjwgN4Awj5F\n",
       "RES8++67TJQ8cJDnv+np6fRywuBGkqioqLCwMJxspLcZyu3s7MaPH09dMnToUKOeY1NbEonkhRde\n",
       "ePHFF0tLS9evX//rr7/2mUxOoVCUlpbeuXOHIAhvb++RI0f2T1V7qqqqOnz48NGjR+Vy+YwZM155\n",
       "5ZWvvvrKUJXBIEDTFx2NNmxAHR1/TJz4/+2daVwTV9fATwiL7KJgxQ0QgmxVQEAFF4TagojytIq1\n",
       "2ldrW9LyiKDWpRZbW2nrRktQauHRVlptBZfSKsSqoKggoqAiBAnBBRQUZJclBJL3w9jpGELMnkm4\n",
       "/w/8yM3MvSeTkzN3zj33nKkK73ztWti163kcfkdHh/j6swgxyJ8ZJi4uTiAQMBiM9PR0rCs/P79B\n",
       "VcVNcuLj41NSUjw9PQHA3Nz8xIkT72DLKQPQ1tZWXl7e2dk5fPhwBwcHIyMjVUn6L+Xl5X/99dff\n",
       "f/9tZmY2d+7cxMREaRNSKg9koGWkthZu3YLx42Hv3nNChcnlp68Pfv8d3ngD3ngDfHx8iouLZ8yY\n",
       "odghBg8UCmWgCa9UODo6hsuZoWoQ8PTpU7zo39ixYx89eiT++Pr6eh0dnUmTJqnYrdHb23vhwoWT\n",
       "J09evnzZ1dU1NDT0+PHjFhYWqpRBEtRsoInpLjHKy8sVEq+mbM6cAQ8PsLKCy5cvb9y4UbGdU6mw\n",
       "bBkcPAhvvAFTp069cuUKMtAyIxAI/Pz88vPzIyIiZK5QzuFw8OxRCDHMmzcvLi5u165dLS0tycnJ\n",
       "iYmJ4o+X/8YpFQKB4OrVq8eOHcvNzXV3dw8NDf3222/VMm2XEDUbaBcXl7NnzxJbsOQy6pJHcnJy\n",
       "IDAQnj17RqVSlfEFL1kCM2fCs2fg4+Pz888/K7z/QQXmjsA2BMrg7khNTaXRaPiJ2JRcwSJqC++9\n",
       "996ePXuCg4P19fU3btzo7OxMfFcgENTX15ubm6u4yglml9PT0y9duuTl5bVw4cIdO3ZQqVRVyiAb\n",
       "yMUhI1euQFISXL58efr06cro39MTbGzgzz9h6dKRT548UcYQgwc6nZ6SkhIRESGbM9rBwYF4ItkS\n",
       "QJKNqKioqKio/u1tbW1sNru9vX3ChAmjRo1SjTA3b948cuRIbm6up6fnwoULd+3apRF2GUeEgaZQ\n",
       "KFlZWehpTjxpaeDuDhs3ZsufwW4gvvkGsKwDmC8PbVeRDUyfZXZuIOSnu7ubzWY3NjYaGxu7u7ur\n",
       "wNXL4XAOHz6cm5vr6uq6cOHCb775hjy7EKVChIEWCAR0Oh2LK0JL1QPh6QkAUFhY+DWWbFQJLFjw\n",
       "/B8fH59r164hAy0baMKrXmpra6uqqvh8vq2trbK3azc0NKSlpZ06dWr06NFLly7dsmWLhtplHNHS\n",
       "JycnCwSC1NRUlLtLDK2trUZGRipIR+vl5aXUIt/aDeZ6ptPpdDodabKKwbIdDR061MfHx87OTknm\n",
       "srGxkcFgBAUFrV+/3snJKTMz88CBAwEBAZpunWEgHzTms/P19cWjPpHHg8jFizBzJly6dEkFwRUN\n",
       "DeDp6fnNN98oeyBtRf6t3giZoVAofn5+SjKUPT09f/755++//06lUsPDw//44w9DQ0NlDKRGBvRB\n",
       "E312yNFB5Pbt5xW1L1y48Oabbyp1LIEAnJygoMD02bNnAoGAJFljEIiBEAgELS0tQ4cOxXVVGda5\n",
       "uLj40KFDN2/eDAgIiI+Pt7OzU/gQJEHEtfP19cXny35+fqqVRwPIzoapU4FCgevXrys7ZJtCAT8/\n",
       "+O03cHBwqKqqUupY2gq21TslJQWbeahbHG2mubm5sLDw1q1bSsrA+fjx4/j4+FmzZqWmpi5dujQn\n",
       "Jyc2NlaLrTMIzaAxzwYQMkihvLf9uXABZs2Ctra2IUOG6OnpKXu4Zcvg88/hv//1Ki4uVnFUv3Yg\n",
       "/1ZvxEvp7u7mcDgNDQ1GRkaTJk1SbJgzj8c7efLkwYMHe3p6VqxYcebMGQM836O288IMGlsbxFzP\n",
       "GMi5IQSfDxcvgr8/5OXlqebxIjQUHj8GE5NZ169fV8Fw2g16IlQ4AoHgwYMHhYWFTU1N9vb2Pj4+\n",
       "Coyiq6io2LBhw5w5c+7du7d3797Tp0+//fbbg8c6g9AMGksBk5+fT/R1otkHkeZm0NEBLy/YsuWC\n",
       "/DWuJMHQEMLDob7e6ebNmyoYDoGQiubm5rt3777yyiv29vaKMp3d3d3p6em///67tbX1+++/v3Pn\n",
       "ToV0q4m8YKCx+TKyyGIYPhyePgUAKCws/Oqrr1QzaFISAOhnZnajdUIE2bCwsJg2bZqifBp3795N\n",
       "Tk6+evVqeHh4WlqamZmZQrrVXDQ+TlAttLe36+vrq+xRS08P9PTQOqHawCOpGQwGtjOAw+GoWyi1\n",
       "wefze3p68JcUCkV+68zj8Y4ePfr666/v2LEjPDz8woULkZGRyDqDyDA7BoMBACwWKyUlJSEhQSjb\n",
       "HAIACgoKlJEDWjzu7u43b95E64SSo6inDTwfNIvFGmz5oFksVl5enr29fUBAAAA0NjZWVFTo6ur6\n",
       "+PgopP+ampqkpKRLly6Fh4enp6cPHTpUId1qDSIMdExMDPYojf1FBhrn0SP480+IjISLFy/6+/ur\n",
       "ePSCgrdGjdq/cOFCFY+ruSjWWefo6KjA3jSC9PT0/fv3L1iwAPMIx8TE1NfXGxsbOzk5ydmzQCDI\n",
       "zs4+cOAAlUpdsWKF5ubKUDaidxJyOBx5AuywEkHEFu3IvnTsGGRlQWQkXLly5dNPP1Xx6KWl1qWl\n",
       "5i8/DqEc2Gw2i8VStxQqZe/evVhMW01NzbvvvstisaZNmzZ69Gh5Hk16e3vT0tJ+/vlnJyenLVu2\n",
       "oIq64hFhoCMiImg0WlZWFp1OT0hIkKHTuLg4Yg0LDodDTKerueTkwOzZ0N3dzefzVZ/ke+VKna1b\n",
       "A1Q8KAIAYmNjKRRKRESEi4sLZpvE5INubm4mvuRyuSoIllceQ4YMuX///r1790aNGjVmzJgxY8bI\n",
       "3FVnZ+eBAweOHDnyn//858SJE8jFLAkiDHRycjK2z1ueOS/RVerg4KAFG174fLh8GTZsUI8DGgAW\n",
       "L4Z161yvXn0yZYoaqgsPZohbXcR7/Fgs1tatW4kt169fnzRpkvJkUyrOzs4HDx4MDw+vrq6urq72\n",
       "8vKSrZ9Hjx7t3LmztLQ0Jibm0qVLyJshOSKuFJ1OpxCQodP8/HziMjeHw8nPz5ddRnJQUgLd3eDt\n",
       "Dbm5uap3QAOAtTXQaPf37m1V/dCDHCyKg5jWcaANLy4uLukvEhgYqOJqewokPj7+9u3boaGhSUlJ\n",
       "Bw8elOFR4M6dO8uXL4+Ojl60aFF2dnZoaCiyzlIhYgadkpIipzsCL3RPbJGnQzKgpwf//S/o60NB\n",
       "QcEnn3yiFhmiop4WFbEBBt1qlTzgCQwwZNBt3GVHp9NBvidL8sPlcjkcjomJiY2NjYmJSXx8vGz9\n",
       "FBQU7Nixw9zcPCYmxsPDQ7FCqhcej9fX16eaql0iDLT87gitzH7g6go7dwKXy+3t7TU2NlaLDG+/\n",
       "7XDu3HaAd9UyuoYi/4QD/nHZJScn0+l0ocmH1iAQCB49enT37l0AsLKykrmTU6dOJSYmuri4xMfH\n",
       "jx8/XqEyKp2+vj4ej2dgYEB0HnA4nLa2Nh6Px+Pxent7MXVycnKytrZWtjwiDDTa6i2GwsJCRUWA\n",
       "ysDw4cMbGxvVNbqGopD1Dw6Hg9torUzo0draWlFR0dHRMXLkSHt7exnKUPT29v72228//fSTv7//\n",
       "4cOHR4wYoQw5FU5tbW1LSwuXy+3p6eFyuX19fQBAo9GIy6F9fX26urqGhoZ6/6Cvr6+Cwl0wUMkr\n",
       "OTsV6bnWDkN/4cIFFSTpF8Pw4cPz8pp9fCw0OTRApcg/4RCq6o29VJh8JODRo0eVlZV6enqurq4y\n",
       "GNbOzs7//e9/x44dW7hw4cmTJ01NTZUhpAwIBILu7u6urq7Ozs7Ozs6urq7u7m5bW9tXXvl3mb2p\n",
       "qamzs1NfX9/MzAzbHqyvry+0bDBhwgSVy/4cpVT1rqysXL58uSRbrfr6+h48eEBsaW9vV30E20v5\n",
       "7Te4fx82b4bLly+vXbtWjZJ4eHhERfE//hg+/FCNUmgSCvFvEDsReqkFcLnc0aNH29nZ6epKZxCa\n",
       "mpoSExNzcnI++OCD7OxsFZR/k4rbt2/jT5x6enpGRkbGxsZCvmM3Nzd1iCYpIr4PbJtJREQEAISF\n",
       "hcmwJOLg4BAeHs5kMl96LpvNFgq1vnXrlrOzs7QjKpu0NPD1ha6uLjU6oDE8PDxu3Cj63/9eRwZa\n",
       "QgbPtmyZkcFTXF1dHR8fz2KxVq9e/fnnn6slNqO7u7vjRaytrYkbPrHJsqGhoZGRkbT3HpIgQmiF\n",
       "1HCTcIO4s7MzsbYWAHz44YePQ9NaAAAgAElEQVR8Pl+GEZUHFgG9aRPk5+dPmzZNvcJ4enoePLj1\n",
       "9u3XWSxAm7AkAa2p9Ke5uXnIkCGyVfDjcDjx8fH37t1bvXp1QkKCutIrVlVVVVdXY/8PGTLE2NjY\n",
       "wsJCyD9jZmam6dthNPKuomJu3YLeXvD2hs8/z54zZ456hRk9enRDQ8Vbb0FKCsi0zXPQgSwyER6P\n",
       "x2az6+vr7ezsbG1tpTq3urp669atTU1NmzZtUs1eLS6X2/oPhoaGrq6u+FvW1tbGxsaY14JKpapA\n",
       "GLUgwkDjUcwpKSmKil/W6MfM8+dh5kzQ1YX8/PwvvvhC3eKAmZnZihUd332nTk8LQhOpra2tqqri\n",
       "8/k0Gm306NGSn1hXV7d169bq6upt27bJvJ9QcrhcblVVVWtra3d3NwDo6uqamZkJRU0YGRmRcLFK\n",
       "4Ygw0MqIYtZc6wwAr70G06dDc3OzkZERGcrtuLu7U6mFWVmz1S2IZiD0DD44J9RcLreioqKxsdHM\n",
       "zMzJyUnydZSWlpbt27dfuXJly5Ytr732mpLE4/P5RC92V1dXR0eHhYWFubm5mZmZkZHRoK1TgVwc\n",
       "L2fiRACAEyfOz55NCpvo5eVVXFxMEmHID9EiY1sBByEVFRVNTU22trY2NjYSLuh1dXUlJiZmZGSs\n",
       "Xbv222+/VbiJ5HK5zf/Q09Pj4+ODz4iHDh3q7e2t2OE0FOGvys/PD8/CIXNAPp67AAdPYqC5nDlz\n",
       "5vXXX1e3FAAAkydPLi4uVrcUGglxz/egws7OzsvLy87OThLr3Nvbm5KS4u/vb2FhcenSpUWLFinW\n",
       "Ot+7d+/q1av5+fnl5eXYpN7R0VG2FUutR7hobGxsLB4bx2QyZfMda1O60cePwdwcDA2hpKRkIjaX\n",
       "Vjdjx46tqakBgLQ0yMuDxER1C0RuiMYFCx4dhEi4eUQgEBw7duz7779fsGDB+fPnleTkbWtrMzQ0\n",
       "tLa2trCwMDExGbTuC0kQvp0SI5dRulEACA+HrCyoqqqyt7cnjyaZmZm1tbXRaLB/PzQ1qVsaciMg\n",
       "IBTTqa309vay2eyGhgapzsrJyZk9e3ZRUVFmZubGjRsVYp3b2tru3r375MkTYuOkSZMmTpw4btw4\n",
       "U1NT8vymyIlSwsu1Jt1oezsUFIC7O2RlZQUFBalbnH/x9PQsLi729AR3dzhwQN3SkBuip04r02gI\n",
       "0djYePXq1draWsn3ExQXFwcHB6elpR0+fHj79u1yZpkQCAStra0cDufKlStFRUU1NTVYMAZCBl5w\n",
       "cQiF9MuM1qQbzckBGxuwt4fTp0+npqaqW5x/8fb2vnbtmr+//yefQFQUREcDyTbZkgI80Siu1Zr7\n",
       "JCcJeIyzqampu7u7JKEalZWVsbGxAMBgMBRSdPHZs2clJSVcLldHR8fCwsLOzs7S0lJDd/GRgRdm\n",
       "0AJRyNApFqhHRENT6ObkQGAgdHR0cLlcS0tLdYvzL15eXoWFhQAwfz7o64MmBzEqkeTkZIFA4Ovr\n",
       "i+uhbOGe2GIMEJbQiQ+IJKGlpeXatWsNDQ02Njaenp4vtc7t7e0bNmyIjIyMiopKS0tTVElczC47\n",
       "OTn5+flNnDhx5MiRyDrLA6puII6iInjjDTh37pzyIkBlw9raura2FgB0deHiRVD3/nNSI38Mflxc\n",
       "XGpqKoPBCA8Pxwz98uXLFSKbAqmpqdHV1fX09Bw/frz4UA0+n89gMEJDQ0NCQs6ePTt9+nTZRmxv\n",
       "b7979+6NGzfa29vxRiMjI2dnZ2tra2SXFQK6iOI4cQIsLYFOPxUTE6NuWYQZOXLkkydPXnnllbFj\n",
       "1S0KuZE/+Rf8s+itqGmmMsCysr3URVlYWPjpp5/Onz//3LlzstnQ9vb2hoaG+vr6rq4uHR2dYcOG\n",
       "aXRVXJKDDLQ4RowAPp/PYrGISQBIwpQpUwoLC0NDQ9UtCNmRP/kXZvtCQkJ27doVHBxMQv8GSGCa\n",
       "nz59um7dOgqFcujQIZlLgdy9e/fBgweYXba1tUX+ZWWDLu5LyM/PJ+fK0pQpU86cOYMb6O++g+Bg\n",
       "IF+iVm0As+zY/9iq40BWnsPh7Nq1i9hy+fJlFyVkHeTz+VVVVTo6Ovb29pIcvGfPnj/++OOrr76a\n",
       "OXOmPOOam5tPmDBhxIgRyC6rBnSVRdPTA/v3Q2Qk/PHHH4sWLVK3OCKYPHlyXFwc/pLDga1bIS1N\n",
       "jRKRFIUk/5Jw3j1q1CihvTD19fUmJiayDToQnZ2dZWVlz549I+42GIirV69u3rxZNp9GV1dXU1PT\n",
       "qFGj8PvT8OHDZZEYISvIQIvm/HnYvh0+/lhw5cqV3bt3q1scEZiYmHR3d/f29mK/ug0bwNkZysqA\n",
       "fM4YNSN/8i/Miw0AWVlZmAt7oB22RkZGkydPJrZYWloqNr95bW1tZWWlrq6uh4fH0KFDxRyJ+zQO\n",
       "Hz48cuTIgQ67d+9eVVWVu7s7MU6pubm5pqamqalJV1d3xIgRyMusLlAUh2iYTHjjDcjLy/P29ibt\n",
       "ZicPD4+SkhLsf1tbWL4cCFNqhMLAUhcIBIKMjAw1ZpXh8/lsNruiosLU1NTLy0uMdcbiNMLCwkJD\n",
       "Qw8ePIhb57q6OqFNfdu3b1+1alVBQcH8+fNPnz7N5/Pr6uoKCwtv3rzZ0dExfvz4qVOnIuusRtAM\n",
       "WjQnT8L338ORI0eWLl2qblkGZNq0aZcvX/b09MRebt4MTk7w8CEQ6hEPahgMBhZ+g818/fz88vPz\n",
       "ZZtN4yW96XS6uirGPn369NGjR+PGjRs/fryYSUNBQcFnn33G5/PNzMwyMjJSUlLS0tKMjY0xTebz\n",
       "+QYGBqmpqXp6eo2NjefOnTt37hwAREdHBwUF2dra1tXVmZubu7m5WVpaknZqMnhAM2gRlJTAkycw\n",
       "a1ZPcXGxaipHyMb06dOJD9rjxsHffwOhYPFgJyYmRiAQVFZWxsXFUSiU1NRUmX0deORGcnKyuoKg\n",
       "rayspk6dKiYnTENDw/Lly3/88ceIiAg3N7esrKxDhw6tWbPmq6++Sk5Onj179tGjR48fP+7t7f3T\n",
       "Tz8BQG1trZOTE3auqakplUodN26cl5eXp6enlZUVss5kABloEbS3w0cfwblzJ+fNm0dmNR07duzD\n",
       "hw+JLTNmAHoexcHCbxwcHLCJsyRLaiJJTU0lzppTU1PVkluGQqEMlJOzr68vKirK0dHx9u3burq6\n",
       "NTU1M2bMwN6aOXPmnTt37ty5Q2wpLy8HgGHDhl2+fBnLjJiXlzdixAgjIyMJ894hVAMy0CLw84Pd\n",
       "u+HXX3/9v//7P3XL8hJoNFpFRYW6pSA7cgZKOjg4EKfeQi+VR1dXF4fD6e3tFX/YvXv3Xn/99b/+\n",
       "+qusrKy4uDgwMPDKlSuZmZmYkKdOnfLy8vLy8jp16hR2/KlTp1xcXIqKiths9ieffPL+++97eXnt\n",
       "27cvKSlJ6R8JISXIBy2ampqavr6+MaT35vr7++fm5k6YMIHYeOgQmJrCggXqEoosEJN/4f9oSl7y\n",
       "hoaGO3fuUCiUcePGDXRMeXl5ZGRkVVXVsmXLAgMDR40aBQBLlizZt2/f1KlT/fz8DAwMRo4cuX//\n",
       "fkNDw6ioqFmzZvF4PFtb2xkzZvB4PFdX19mzZy9btkyFHwshHWo20LW1tfiNHePOnTtSlbNUEj/8\n",
       "8MNHH32kbilezuzZszdu3CgUe9vTA6tWwZw5MAiKaopDU2yxEH19fWw2+/Hjx8OGDXN2dtZ/MVFh\n",
       "T0/PoUOH2Gz2iBEj4uLi3n777e+++27NmjW6urqbN28GgLq6OkNDw/Xr169fv554YlJS0uPHj8vL\n",
       "y/X09GxsbEaPHi1h7SuEGlGzgdbX1xdKPmtgYKBevQkMhPj47tzc3G+++UaNYkiIjY1NTU2NQCAg\n",
       "+spXrIB9++Drr+Hrr9UoGkIWOjo6SktLu7q6bG1tbW1t8a+1s7Pzr7/+4nK5J06cmDp1qr6+/tat\n",
       "W2fMmPHDDz8AwIEDB+bPn79s2bIJEyacPn2awWCI7NzExMTe3n7UqFFoH6CmoObvydLSUmif3pkz\n",
       "ZxQb2C8VpaVw5Qrk5PyyYsUKMi8PEnF3d79586aHhwfeoqMDP/0EPj4QHg6TJqlRNITUlJSU9Pb2\n",
       "YlFueGNTU1NISEh4eHhnZ+elS5d0dXXHjBnz5Zdf/vjjj9gB3d3dvr6+a9euffLkyerVq83NzbH2\n",
       "3t5eKpWKa7KJiYnCtzUilAp6xnmB9HR4/XX+0aM/k395ECcoKOjvv/8Wanz1VfjgA4iPV4tECNlx\n",
       "cHDw9vYWSj5+6NChyMjINWvW2NraAgCVSmUwGEuWLKmrqzt+/Pi5c+c++uijDz/80NnZ2d/fH7PO\n",
       "fX199+7dy8/Pr66uVssHQSgE9KTzLwIBHD4MAQFn58xZNmTIEHWLIymzZ89mMBibNm0Sat+zB9ra\n",
       "1CIRQnasrKyEWgQCQVNT04QJEzZt2oTVxmxsbKyvrz9w4MA777zDZrO5XG5KSorzP4my+Hz+o0eP\n",
       "Hjx4wOPxrKysxGzyRpAfZKD/5do1aGsTsFjbk5KEJ6RkxsTExMDAoL6+fsSIEUJvmZmpRSKEFLS1\n",
       "tenp6YkMcBYIBJs2bcrPz29sbNy5c+fOnTs//fRTbEF49erVvr6+e/bsEdqH/fjx47t373K53GHD\n",
       "htnZ2ZkhDdBwkIH+l1dfheDgXW+9FaOvaQX+wsLCTp06tXLlSpHvcrlgYKBiiRAvRyAQPHjw4P79\n",
       "+2PGjBG5iea3336jUqnz5s3Lycmh0WhJSUlpaWmRkZFLliwR2SGPxysvLzczM3N2dpaz8CuCJCAD\n",
       "/S8lJVc7Oq4uWLBB3YJITVhY2Pvvvz+Qgf7Pf8DTE+VRIhdcLpfFYrW0tIwZM2b8+PFC7xYWFu7a\n",
       "taugoMDAwOCDDz7IysoqKytLSUnZu3evmD719PT8/Pw0bnqBEANaJHxOe3v7unXrEhMT1S2ILGCO\n",
       "y/r6epHv7tgBiYnQbx0RIQt0Ol3+hHaNjY3Xrl179uyZm5sbjUYTiit9+PDhJ598MnPmTAMDAysr\n",
       "KyxLxsWLF/G8GTh8Pp9YDxAAkHXWMtAMGgCAy+VPn/5bfPxWMuyRkY3FixcfOnRo7dq1/d969VXY\n",
       "tw+WLoWrV0GC+hsIYYQCLsUXVXkpDQ0NZWVlhoaGbm5ueO3thw8fpqam8ng8S0vLkydPPnr06OHD\n",
       "h0VFRe+99962bdvOnz+Plaoi9tPS0lJRUcHlcqdPn462nGgr6HsFPp8fFPRzXd1ispXuloo333zz\n",
       "6NGjA1mNpUvh3Xdh/nzo61OxXNpAQkJCREQEVs87IiIiKytLnj2KVCp1zJgxXl5emHWuqKjYvXt3\n",
       "YGCgq6sri8X64osvysrKTE1NGxsbzc3N4+Pjvb29k5KSjh49avDPSkJvb29FRcWNGzcoFIq7uzuy\n",
       "zlrMYJ9Bc7ncFSveY7MTPv9cXHEK8mNoaDht2rTs7OyBbjO7dkFgIFCpKpZLG4iOjmYymXQ6PTk5\n",
       "Wf7ehg0bNmzYMAC4f//+wYMHc3JyxowZM2HChCNHjmAFImxsbO7evZubm/vDDz/88ssve/bseYWQ\n",
       "Q7a2traqqkogENBotNGjR2vKdiqEbAzqe+/NmzfnzJljZRWlozPigw/ULY3cREVFJSQkDPSuri7M\n",
       "m6dKcbSK4ODgsLAwPz8/RXW4e/fuyMhIzK1BpVJDQkLOnz9vbGy8Y8cOKpWalZU1bNiwvr6+EydO\n",
       "eHt742c1NTVVVFRghbXGjBmDrLPWM0hn0E+fPv3qq6/u37//008/hYU5bNwImrMxZUDs7Oysra0v\n",
       "XLjg7+8v/shr12DSJEDrSVIRHBxMo9FoNFpYWNhAx/T19bW9uDuIy+X2T3zR3Nx86tSpCxcuzJw5\n",
       "MzMz08nJKTMzMzAwsL6+fvHixTt37jx06NCoUaOioqKETjQzM0O1TgYVg85AP3jwYOfOneXl5evW\n",
       "rQsJCQGAtWtBaxIuxsXFvfXWW9nZ2QZiI5/XrwcTEzh6FAbI/44QzUszQd+5c+fLL78ktrBYrOnT\n",
       "pxNb9u/fn5SUhNliW1tbX1/fIUOG7N69OyYmJiAgwNnZ+fDhw25ubr/88kv//nV1dftvNURoMYPI\n",
       "QHM4nB07dtTW1kZFRe3duxefgwwQPayRvPLKKytXrvzss8/EVyLPyICgIAgIgD//hCFD2voGWDqk\n",
       "UqloKxpIU9Xb1dU1PT2d2JKamoqVcD1+/PiTJ086Ozs7Ozs//vjj7OzsoUOHnjx50tfX9/z580wm\n",
       "My8vT2i7ikAgqKmpaW1tffXVV5X5+RDkRSkGGldoHFyz1UJtbe3WrVvr6uo2b948bdo0dYmhGlau\n",
       "XLlq1aqdO3du2CBixw2Pxzt//nx+fr6Fxe3r11fZ2LhMmbJtxAjRAdRdXV1dXV3d3d2GhoYeHh7B\n",
       "wcEzZswYhJkqsareDg4OdDodAKTV5Fu3bnV3d3/77beJiYlNTU329vY8Hq+9vT07O7uzs9PAwKCs\n",
       "rKx/xoxnz57duXOnvb0dJdMYzCjlx4YrNPaSw+HQaDS1ZE/n8Xh79uw5fvx4XFzc7NmziW/9/Te0\n",
       "tMDixaoXSukkJiZ+9tlnCxYsiI6OnjRpkkAgqK6uzsvL+/vvv7u6umbNmuXn57du3ToTE9N9+8DR\n",
       "ce9Lwwt5PF5+fv7p06djY2MXLFjwwQcfYHEIgwd5qnofPXp08uTJ6enpK1asaGlp2bJlCxbIsXv3\n",
       "7qSkpNTUVKHj+/r6OBxOXV2dvr7+xIkThw8frrCPgdA0lDUbIj6sOTg4yFkUTjaKioqioqKWLFly\n",
       "8eJF6ovxZeXlsGgR/Pqr6oVSBTo6Ot9++21FRcWhQ4d+/PFHHR2dUaNGeXl5HTx4UCiPZWSkRB3q\n",
       "6enNmjVr1qxZvb29x48fnz9/fkhIyJo1azQo55+ccDgc3EZLG8tBo9E8PDzS0tIMDAzc3d1tbW2f\n",
       "Pn3a2dm5cePGw4cPCx3c1dVVUlLS2dk5cuRIBwcHPVQDeHCjFAOdn5+PKzQAcDgcFVdB5nK527Zt\n",
       "Kygo+PXXX+37bZ6rqYGQEPj4Yy2v2jdhwoRt27ZJfvzKlWBhAZ99BmImx7q6uosXL164cGFqaupr\n",
       "r722adOmeYMgdg+r6o0/AgoV+X4p9+/f7+3tffXVV/fv329sbLx48eLLly//+OOPEydO7L/HpKOj\n",
       "Q0dHZ9KkSYPtGQUhEqXEQWdlZdFoNMo/0Gi0rKwsZQwkkqKiojlz5owcOfLMmTP9rfOTJ/DaaxAQ\n",
       "ANu3q0wizSA6Gm7cAHt7+OwzaGgQdySVSl25cmVmZmZGRsa77777+PFjVcmoHuSs6h0aGjpv3ryp\n",
       "U6cuWrTo2LFjYWFhly5dGmgHoKWlpbe3N7LOCAylzKCDg4PV4nFuamr64osv6urqjhw5glU47s/9\n",
       "+xAWBt98AyiQVIhJkyAnBy5dgp07wdYWbt0CUSkw/8Xc3Hz//v3Xrl175513goKCYmI0L02raqit\n",
       "rW1qaqqqqjpy5AhWEoVIT09Pb2+v0SCv74sYAKXMoJlMJuVF5E8AJp7W1tbdu3eHhIQEBwcfO3Zs\n",
       "IOsMAFOmwI4daMfzgMyYASdPQlUV2Nk9b7l/H86fh+5u0cd7e3ufPXvW3Nx85syZqampvb29KhNV\n",
       "U8jNzbWysjp69Gh/61xbW3v16tWysjJ1yIXQAJRioLEoDsE/VFZWCkXdKZCSkpJ169YFBARYWVnl\n",
       "5uYKDSQQwK1bsHYthIYqaXztZOTIf+9hZWWwfDmYmcGUKbB6NeTmCh9MpVLpdHpOTs6TJ09mzZq1\n",
       "ZcuWiooKFQtMZlatWpWQkDB27FhiY1dX140bNyoqKkxNTd3c3NQlG4LkaFgUB4/Ha2xs5HA45eXl\n",
       "V65cYbPZTk5OS5cu3bVrV0+PDpf77/blu3dhwwbIzYVnz+DNNyE2ViHjD0ZCQqC6GthsuHgRCgrg\n",
       "6FGYNev5Wz/8AMXFYGsLI0eCublRWNiGNWvWZGZmfvnll1VV911cpk6d6uHqakej0YjpfgYbNjY2\n",
       "xJd8Pv/evXs1NTW6urqurq79C5UhEDhqjuJgsVjR0dHEloqKCn9/f+KT8qVL7UFBOgLB8xmdnp7B\n",
       "qlUX3dzGrl+/vr2dNm+e7okT0NwMAGBqCvfv92J737q6KG5ulPfeE0yfLsCS7qKHb3kYPx7Gj4cV\n",
       "KwAIV3LyZMrjx5SHD6GoiFJfD5MnC777jjJv3rx58+atXk3Zt4968ODzI8eOPWdnt83ExERXV/f3\n",
       "338nequpg8zf9PDhw+rqaktLS0dHR/E78hEIpRhoLIpDqEXkkS4uLmfPniW2YFtjidvVpk61IJp3\n",
       "ExOYMGEz9j+PBwUFz9sNDGDoUDA2fn6iqyu4usr5ORAvYcoUmDKF2EDBnWY//ABffw3d3dDVBQBg\n",
       "ZvaapaXo/TADbTTXVkaMGGFiYoLiNBCSoAFRHIaGMHmy6Lf09KBfOTcEWUBlS0UyZMiQwbPBByEn\n",
       "KsoHrcBEuggEAjFIUFHiG5Gpvwbi+vXrJiYmyhOGSHZ2NjlDUJ8+fSq0LZsktLa2BgUFKbDD0tJS\n",
       "T09PBXZINiTU58bGxqKiIlNTU3nGklZt+Hx+S0uLVP4WLpfL4/Hk/IVqsZwlJSUK1GfSZSYLDAzk\n",
       "crnN2Kqf8jl58mRAQIBqxpKKs2fPzpkzR91SiCA7O9vHx0eBCeP9/f3VkqpFNUiuz8XFxUVFRa5y\n",
       "rJwIBIJz585JpTZtbW3l5eVTXlxJEM/Dhw/b2tpcXFykF/A5fD7//PnzgYGBkp/S2tpaUVHh4+Mj\n",
       "+Sk1NTUdHR39S6FLTl9fX25urlT2oaWl5dmzZ4rUZ4ES6L8kiNXZJCH+/v7qFkE0pBUsICCgr69P\n",
       "3VJoIVlZWdu3b5enBz6fP3v2bKlOuXPnDp1Ol+qUkydP7tq1S6pThOjp6ZkzZ45Up5SVlUVGRkp1\n",
       "yh9//PH9999LdYoQXV1dQUFBUp1SUlISFRUlz6BCaHm6UQQCgdBclLVISIZ0owgEAqHRKMVAYxtV\n",
       "8JeqTzeKQCAQWoCaN6ogEAgEYiAog9w1XFRUNHmgbTBqBQk22GhqamptbbXDswjKhLTfDpfLrays\n",
       "lCpbU2NjY3t7e//MfFIhrZzd3d1VVVVShbg8ffq0o6NDKBGKVAgEghs3bkgVM9fV1XXv3j15QlyE\n",
       "GOwGGoFAIEiLinYSIhAIBEJakIFGIBAIkoIMNAKBQJAUZKARCASCpCADjUAgECQFGWgEAoEgKchA\n",
       "IxAIBEkZdAbaz8+PQqFQKBS8hgCdTsdaiNvTySabesXDxWAymUItar9o2kH/r15alKoq8v9q+oun\n",
       "QBWSRDzFaiwx3a4kY8k8+uAy0Ewm083NDcvj5+bmxmQymUxmaWmpQCDIyspavnw5qWQDgNLS0srK\n",
       "SqyRmH9KxYLBP2lp586di7WQ5KJpByK/emlRnqoo5FcjJJ4CVUgS8RQ7HNE6SzKWPKMP3p2EDAbD\n",
       "0dGRzWYDAFZZnEIhy9XAZAsODvbz88PyTEVERCQnJ6tbrueXiMFgAPkumnaAf/XSnqgaVZH5VyMk\n",
       "npJUaCDxFDgcg8GIjo728/PDqkT171mSFsmHG1wzaBwmk8lisbCfgaOjI9ZIkpyouGxMJjM/Px+b\n",
       "Gri4uMg2sVIU2DNaQkIC9pJsF007IKqltCeqQFVk/tWIFE/hKiRePEUNh9lZIpKMJfPog9FA0+n0\n",
       "jIwMfJaB3W8BgAw5UYmyEYuj4/MCdZGcnIwJg00HSHXRtAMhtZQKFaiKPL8akeIpVoVeKp7yNFaS\n",
       "sWQefdAZaD8/v7CwMPyLdHR0TE9PBwAmk6n2yaCQbEwmE7OGAMBms/GbsIohioFBqoumHQh99dKi\n",
       "bFWR81fTXzzFqtBLxVOexkoyllyjy1YpS0OJiIggfvaEhARiI76IQULZsJdqly0iIkKoRb0XTTsQ\n",
       "+dXL3InCVUUhv5r+4ilKhSQUT7Ea6+vr218AMWPJPDpa4UEgEAiSMuhcHAgEAqEpIAONQCAQJAUZ\n",
       "aAQCgSApyEAjEAgESUEGGoFAIEgKMtAIBAJBUpCBRiAQCJKCDDQCgUCQFGSgEQgEgqQgA41AIBAk\n",
       "BRloBAKBICnIQCMQCARJQQYagUAgSAoy0AgEAkFSkIFGIBAIkqLxBprD4QiVQJe8IBteCx0/pX/9\n",
       "dvHj4gjVHJFcADFl2ImfS+h4bDgOh0On02UbV2QReAaD0f9D9T8Yv0r4p5b8uiGUhJBCilEM2XRV\n",
       "5CiSfN391bg//X8IHA5HHjmF6F8VSFPQeAMNAL6+vjLYKcwoY2UL5s6dC6Lqt790XLzwQXp6uhhT\n",
       "KxtiailgFXRkQ0wR+OjoaGKdiOjo6P4HMxgM/CqxWCysyr1U1w2hJPB6NwKBoLS0dCCFlEd54EW1\n",
       "Dw8Pf6nhk60kyPLly/uXZ5WZ4OBgOT+1utAGA+3m5jZQJWORU0KM4OBgoRJwxBYXFxdpZXBwcADC\n",
       "fBO7Z3A4nP6zS/wY7CXejs9SsRb8AKHj6XR6fn4+fk8SOZcR88HZbHZ4eDj2eQcqYUmn09evXw8A\n",
       "NBqN+Bn7Xxw2my3PdUMoG1x58OchTHmIj1/YSwaDgemqSKWVahS8KxClxsRxiYqNw+FwMGXDH4hx\n",
       "aYUG6t8tPjSTycTasR7Cw8M1ceqgDQYaAKKjo7FZcP92YoGv/vdk7NtNSEggNhLrt4shPz8ft4Ap\n",
       "KSkAgJnX/lMYrAU7gDhzx87CVAcrKFlZWclkMjEDigsjdHxycrKvry9mE1NSUoidS/jBxReBx0bE\n",
       "7jcODg6xsbEUCiUuLg4bMTo6Oj09XeTvSsLrhlASKSkpuEJiMwai8gAAk8kkKk9/sCch7H+RegUv\n",
       "qn16ejr2mCU0ilBX8KIaYy/7KzZOZWUldqdfv359RkYGAGRmZoaFhfXvROQvDhs6IyMDKwCITTJC\n",
       "QkKwrjQLLTHQAJCVldXf0SFmIomRnJyMfdnEGzKxfrsYhApHMplMBwcHFxcXbCx8copPPLF/2Gx2\n",
       "WFgY1oKVksRUh81mxxzPq0oAAAJ5SURBVMbGZmRkZGRkhISE4KP0P54I3oKPIskHF18EPiMjA5s+\n",
       "Y/1kZGQIBILU1FTcIufl5WGfmjhflvy6IZQE7uLATTCbzcatdkxMDP69DwT+hQopLRGi2ufl5Q00\n",
       "itCzFFGNw8LC2Gy2GMXGC5M7ODiUlpYCQExMTHBwcP+BRP7icONOo9EoFEpmZqYUF5FkaI+BxiZu\n",
       "QrdiMRNJkesGQvXbpQXrEP+RiDzG0dERv5NjyodpIXHuic1eBzpeEsR88JcWgS8tLSUKgKk73sJk\n",
       "MvEbYUxMDHYvkfO6IRRLbGws9h05OjoSi3wLPUjh6iT0q5EW8aPgx+BqnJGR4ejoKEaxHR0d8XtJ\n",
       "eHg4nU7HnnH7DyTmF+fg4CAQCCorKzFtr6yslOczqgvtMdAAIJWBCA4OZrFY2L2XxWJFR0dj7rm5\n",
       "c+cONN0Wgvish3UYEhISExODP2OK1AnMCgu5CIg+DaGph8jj8/PzZY6XCA4OdnNzo1Aoc+fOTU1N\n",
       "xRrx3nD3HwbRoZGVlSUkT1ZWloODg7TXDaFssO+IwWAQlRz3xmLKg91xsfb+T2bSDtd/FJEiEX8s\n",
       "IhUbg0ajsVgs7P/o6OiUlBRsHtB/IDG/OMx7SaPRYmNj4cUpvAZBEci0xopAIBDKw8/PD/OfcDic\n",
       "5cuXY/8rpEPNQlfdAiAQCIQwqamp2KNYTEyM/N4JoYV3DQLNoBEIBIKkaJUPGoFAILQJZKARCASC\n",
       "pCADjUAgECQFGWgEAoEgKchAIxAIBElBBhqBQCBICjLQCAQCQVKQgUYgEAiSggw0AoFAkBRkoBEI\n",
       "BIKkIAONQCAQJAUZaAQCgSApyEAjEAgESfl/ynT9GX8H9xwAAAAASUVORK5CYII=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tipo de ajuste:  Gumbel\n",
      "método de ajuste:  MLE\n",
      "[ 22.90587606   1.81445179]\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nOzdeVgTRxsA8FnuQy5R\n",
       "QTwQ5JCAqHh+oPVqVbC2WBWrbb1ak9Ye0FqtbalXqdraatKbeKLWelSlthKqUk/QKl6IKEkAQURA\n",
       "LkGQK+z3x9TtGkIMm2yyCe/v6dMn2WxmhmR9szs78w5BkiQCAADAPWaGbgAAAADVIEADAABHQYAG\n",
       "AACOggANAAAcBQEaAAA4CgI0AABwmFAolMlkDF4iSZIkSbwDfhwaGrp582bqaUhICEIoKSmJeldo\n",
       "aKhQKIyNjcVPHRwclIr18vJi/IeMHj2a8XsBACbGzKzdJ6CWlpb29vbu7u74ac+ePZV2kMlkgYGB\n",
       "+PHLL7+MEBIIBMePH2+rQCrWIYRCQ0NxkKTvkJCQ0Ppdvr6+//4JCKHo6GgfH5+2AjHVLIQQPRxH\n",
       "R0er2Z8uIiIC/wEkSd67d+/UqVPUSzU1NfjBokWL8IO8vDyqJfgBjvj0LTjud+nSBSE0YcIE6v/0\n",
       "kjEXF5enNs/d3b1v377UUycnJw3/LgAAlxEE0d63BAQEODk54dkhwcHBnTt39vHxQQjZ29vjHY4c\n",
       "OUKdRO7Zswc/8PT0pBeSlJREhey4uDhqe1RUVFhYWGxsrJub24svvogQCg8PX7duHQ70OIgFBwe7\n",
       "urqOGzcuODg4ODi4ve0HAACgX7a2tup36Natm8rt1G+Uubk5fXvXrl3b1QAGFyMAAMBxDM7imVDZ\n",
       "UaIGzCAHAAAG9NHLqr5HGwAAgEr9+vVT3sTn81Xuamdnhx8sXry4XXUo3akEAICOQ824DsSgR7dT\n",
       "p07qC3r99ddV7mBpaYkfKPVBBwQEqKmu9Tk89EEDAAAAAACjIpPJ8BhnPJSaGfr4Zfp2hNDx48eV\n",
       "SsZ1aVKjUpkq30jfgc/nt64d/58qISAggNoB748bHxsbiweW46HW1Ohsc3PzkJAQNzc3euHUY5lM\n",
       "FhISgoevh4SEhIaGJiQkEATRpUuXkJAQXBT+P0IoMDDQzc2N3kcvk8moriT0+LZvYGDg2LFj8RY8\n",
       "4lsJvkZxcHBoPdmHDoZ1Ax1iY0wC/eKbXr5SXdRIZISQlZUV9RjPJZk6dSoeNWxvb29paYkHEeMQ\n",
       "gUcZL1q0yM3NLSAgoG/fvgRBTJ06VSgU4nJCQkKmTp3q5uZGkiSuxdXV1cvLa+rUqTjU9OnTJzg4\n",
       "eOrUqXiLUChUilp8Pl8oFFLT+toKZXifp4Y7HMpwdf/ezaOimyZFKKF3NyuVRq+ydclCGvUtViqz\n",
       "9RtbV6pUO/6G8Htbl0a2mt5DwaPHu3Xrhr/yqVOnqnnjhAkT8McqFAo9PDycnJz+/ZQfl4MQio2N\n",
       "DQ4Oxs3AoxtV3BOgVa0eQRBKo9n1NKwHABYwO3p79eplb2+Pz4EcHR1tbGzs7e2VTlwCAwOFQiH+\n",
       "x2Jubo4jrIeHB0LI3d2dvrOdnZ2Xlxc+OcNzUmxtbfGZVmhoaGxsLI7R9CBDn3DYViDS8PQXl3D8\n",
       "+HEHBweZTEaQMB4OAAA4CW7NAQAAR0GABgAAjoIADQAAHAUBGgAAOAoCNAAAcBQEaAAA4CgI0AAA\n",
       "wFEQoAEAgKMgQAMAAEdBgAYAAI6CAA0AABwFARoAADgKAjQAAHAUBGgAAOAoCNAAAMBREKABAICj\n",
       "IEADAABHQYAGAACOggANAAAcBQEaAAA4CgI0AABwFARoAADgKAjQAADAURCgAQCAoyBAAwAAR0GA\n",
       "BgAAjoIADQAAHAUBGgAAOAoCNAAAcBQEaAAA4CgI0AAAwFEQoIGJEwgEBI2hmwNAO0CABiZOLBaT\n",
       "JBkaGkqSJJ/PN3RzAGgHCNCgA8nMzDR0EwBoBwjQwMQJhUKBQBAVFUUQRFBQkKGbA0A7ECRJGroN\n",
       "AAAAVIAzaGDiwsLCVD4GgPsgQAOThcdvpKWlwRAOYKSgiwOYuLCwsNTUVEO3AgAmIEADAABHQRcH\n",
       "MHEwUQUYLwjQwMTBRBVgvCBAgw4EJqoA4wIBGpg4mKgCjBfcJAQAAI6CM2gAAOAoCNDAlIWFhVHj\n",
       "N2AaITA6EKCByQoLC4uNjSUfi42NhRgNjAsEaGDKwsPDVT4GwChAgAYAAI5iJUBLJBLiSRKJhI2K\n",
       "AFCDniYJS0tLM3SjAGgHVobZhYWFJSQk+Pj44KdyudzX1xfG8wEAQLuw1cVBRWf8ODQ0lKWKAADA\n",
       "VLFyBk0QhEwmY3YGnZOTs2nTJp03CXCWmZlZdHS0m5uboRvCCjieOxrdHs8WOilFSVJSkq+vr9IW\n",
       "lXs+ePDg6NGj9C1Hjx4lCCIqKoqNhgEO2rNnz9WrVydOnGjohrDi7NmzCoXCVP860Jpuj2dWAnR4\n",
       "eLiG58tVVVW5ubn0LRkZGZ6ens8++ywbDQOGVV5enpGR4eLiMnDgQGrjxYsXDdgkPeDxeHA8dxy6\n",
       "PZ5ZCdASiSQiIiI0NDQoKEgsFiOE6D0edJ6enh999BF9i1wub2lpYaNVwLDS09NjYmImTJhQUFBA\n",
       "kuSWLVvYrlFl9me4WQ10JTs7OzU1VaFQvP7662ZmrNzPY6XQuLg4kiSjoqIyMzPxJK65c+eyUREw\n",
       "IqtWrdq7d+/y5cs3b95saWl54cIFtmvExx7OBE09ZlAODBsFrdXW1h49enTHjh18Pp+92wysnEFj\n",
       "fn5+0JUMKNXV1R4eHvixn59fUVGRfuqlj31mNg46Li6O8U1vYJIqKyulUqlQKMQ9tDdu3GCpIraG\n",
       "2cnl8vDw8OjoaJbKB0Zn+PDhmzdvRgiVlpYmJiaOGDECIVRXV/f333+XlpayV29SUhJ15tvWzeqn\n",
       "gmGjgFJQUFBQUBASEjJmzBi8hb0eAlYCdEJCAn0UB0EQCQkJbFQEjMjq1aszMzPHjh37yiuvfP75\n",
       "5+7u7gcPHhwzZoyTk1PXrl3ZqxffssaYpeNIS0uTy+XUU7lcDjMSO6aWlpbs7Oympqbg4GBLS8st\n",
       "W7YUFRU9evRo8ODBLNXISheHj48P/QIQLgYBQsjGxkYkEuHH165de+6558LCwk6ePCkSiTi+lqvm\n",
       "w0blcjm+SqCcP39+0KBBLDYO6EtjY2NWVlb37t3pY5y7d+/OaqUs9kED0FpZWdkHH3xQUVHx448/\n",
       "KkU9luAxRXi52MjISAYn0ZoPG/Xw8JgxYwZ9S3Z2dkVFRXtr1B5BtDkHTeVL1EY1b+zIqqurZTKZ\n",
       "n5+fg4OD6j1u/oKk+9GLibqtF7LZAT1RKBQikWjSpEkzZsz4888/9ROdEUIREREymQwhFB8fHxER\n",
       "waAEPIojLCxMIBDgvmx6jwednZ3d4Cd16dLFwkKvp0G4te19iQLRubXi4uKcnJygoCDV0bmpDiW9\n",
       "ikouo+f36rxqCNBAH86dOzd69OjKysozZ85MmTLF0M1pH+MaNiqVStsaUKjmJQqO4HK5nFqMhlrl\n",
       "gPp9orqqTB5JktnZ2VVVVQMGDLC2tm5jp2YU8h4a8w0yb2MHLUAXB2BXaWnpkiVLCILYs2dPz549\n",
       "9d8AqgdZLBYzHsWB2Bg2WpGNbmxDCCFEoAFvIkdPjbY8jZqhU+0dVYXPpsPCwuRyOb4KwVtEIpFE\n",
       "IjH5BRCam5uzsrK6dOlCDQ99QksTyhCjAW8hK0fkPoylNkCABmxpbm7+4Ycf9u3bt3r16vHjxxuq\n",
       "GZr3IKuBh43qOCR18kB+jzusbbtquqWdBAKBWCzm8/nx8fHtemNQUBD9gVQqFYvFeGIwQkgoFCp9\n",
       "Go2NjVZWVgxayE21tbXZ2dne3t7Ozs4qXq6UoWMCFPAKItjthIAADVhx5syZTz75ZPr06SdPnrS0\n",
       "tDRgS8LCwlJTU1s/1hweNkpFeZysUQcts3JAboPbvaWd4uPj2xuaVfLz8xMKhWrOwXNycvr27Wsa\n",
       "Mfr+/fuFhYWBgYGquzWa69HJD9BzPyMXP7ZbAgEa6NidO3fefvttZ2fnvXv3qr421Bd88ohoSTmY\n",
       "TTCBYaMIofDw8MTEROqTTEpKUjqDxr3zhmiaLpEkmZubW19fHxwcbG5urvyyogGZWyMLGzT1D/20\n",
       "B24SAp1paGhYuXJlVFTU4sWLd+zYYdjojBCKj49XysXB4PTZSKn5S1W+RMVW/MDHx4c6746Pj8cT\n",
       "KfHn2daUH3d3d8NeKmmvubk5MzPT0tIyMDBQRXTOP472jkENVfpsEgRooBvJycmjRo1ycXE5c+bM\n",
       "6NGjDd2c/3ScoGxYnTt3Zimjm37U1dVdu3bNw8Ojd+/eKl4+8zG6+gN66QiyVtUlzRoWF40VCAR4\n",
       "kpiacaPABNy+fTsyMlIikUgkkujoaD0P+30qanAYZujmmKzGxkZDN4G5ioqKW7du8Xg8V1dX1Xt4\n",
       "PodePIhsOuu3XaoCtEgkEolE+LBmNuARjxvl8XhZWVncHzcKNFFaWnrw4EGlHBT19fUrV65csGBB\n",
       "bGysSCRq8+A2KLFYTHV04PmEgA05OTlGGqMLCgqKiooGDBhga2ur/Jr0N1R9GyGEeo9DyAC/7ioC\n",
       "dExMTHR0ND6sY2JiGBft5+fH4/G0aBvginPnzr3wwgt37tzZuXPnq6++irsp//jjj7Fjx3p7ex8/\n",
       "fnzIkCGGbqNGMjMzDd0Ek2WMNwkVCkVWVpZCoQgKClLudG54gCRzUFEasjfkrRTVV6NyuVz7hIpS\n",
       "qTQrK0vLQgAXfP7557///jvOEfPmm2/u379/69at/v7+SUlJLi4uhm7dUwiFQoFAEBUVRRAEnEFr\n",
       "j1myDg7m+qivr8/KyurZs2e3bt1UvJy2HAW8ivpM0Hu7nqAiQPP5fF9f36SkJIFAIBQKGRQaGxuL\n",
       "/zHweDzc66dm3GhlZSX9aUNDg7HfCzY9NTU1+CCuqam5ceNGamrqjh07jCVJGzV0F7KT60Rb4VXD\n",
       "URwcic5Xrlx59OhRUFCQo6PjEy+QCkSSyMwCjeXEdHYVXRx4ME14eHh8fDyzYxrP3cJvxxc+Khck\n",
       "RAhlZWUJnnT27FmDZP8CaoSFhYnF4h07doSFhZWWlqakpBhFdCZUMXSj2CUSiXAODaQqdQaVXkMg\n",
       "EMjlcjU7U6t84Xu/9IW+qM+QeotAIEAIVVRUjBo1Sil9R2tcyPXx5Zdfnjx58oUXXjhw4MATL1TJ\n",
       "0W8TUEk6q7W3i4oATY3BEAgEzNZeU/pGEUJtfWE8Hm/fk8aPH9+5s75vlQL1ZsyYsW7duqVLlzo6\n",
       "Ou7YsUP1JSH3kKoYulH/wZOJ20sqlaq/FxcUFESSJP6nR/3JEolEJBJFRUXhLdSM7bZ2TkxMlMlk\n",
       "JEn6+vrSH1O1tH5LU1MTfYsmA7foO7cukMlnqkGN2dnZOTk5S5YsKS8v37uXln8uey86uhCN/xF1\n",
       "H8FG1cyoCNDap2fEa7iRJJmYmAjLaxq16urq6OjoFStWJCcnFxcXnz17dvjw4YZulL6xNGzU1ta2\n",
       "d/v16tVLfU8CvjOPU2fg1sbExOAbQn5+/05Npvri29p5yZIlvr6+BEEcOXKE/piqRSqVRkZG4seR\n",
       "kZFSqbSgoIAaFEDl8VBDZa4Pehva81lqpLGx8dq1aw4ODvfu3VMoFAihYcNoSY46B6DpR1Fnf53X\n",
       "qw22BpZTU48SExNhELQxIklyx44dEyZMePbZZ//8809/f24duJrTvouDpWGjZmZmtoxo8lfg1BnU\n",
       "dUN0dDSPx6OiHnUG3dbOeHa7TCbbt28f/TH9LYmJ/yanT0xM9PPz0/ICpXUbGBelUk1NzfXr1728\n",
       "vDw8PPbu3ZuQkHDo0KGVK1eigr9R/jGEEOoajMw4d/dLRYDG6Rnxrxnj9IxUUI6Pj4dB0EbnwoUL\n",
       "zzzzTG5u7t9//2106ZuV0Ps3tBnFYVzDRsPDw7OysqifJTyHaN++ffip0ufQemfcHezr6xsbG0t/\n",
       "TH8LevzjRz3VbYO1LJCuuLhYLpcHBQU5OTkhhOzs7ObMmRM5JcLs7DJ0fTNyH6rDunSLlSEvSuvS\n",
       "t2uZ+oULF7a0tGzZskXnrQKawEtSVVZWbty4sa1bu7q1du3akJCQiRMn6qEugtEYL5wDTyQSZWVl\n",
       "4QwVmmfF487xjO+84TNTZp+DehUVFc7Ozlyb7U2SZG5ublNTk5+fn3LbrnyPrB0Rb45ua9Tt8fzE\n",
       "MDuVl04Mvkil7F9KTwE3KRSK77//fufOnStWrDD2s2Y6+lHN7Axa82GjdXV1SpMt7969y+qa5ZqL\n",
       "jo4OCwvDU8+YDZ9Vj4P39pubm2/evOnq6tq3b98nX6hHFjZo0DsGalc7PBGgIYx2WGlpacuWLZs8\n",
       "efKZM2dUTHg1Ztof1fSU/+r7RktKSi5dukTfUlZWZm9vr2UDdIXVvFFcS9hfV1d369Yt5Yz7jdUo\n",
       "5V3UfRga+LbhmtYOTwRofOGmdB4NUdu0lZSULF26lCCI3bt3G2RJKrZRWaExBsczXhcc0ZIgt9XF\n",
       "4eXl9dFHH9G3yOXylpaWdjfaCHEqYX9ZWVlBQUFAQMATZxulV1DK2+h/K1AfffSn6cQTARofcxCR\n",
       "OwhqSarPP/983Lhxhm4OW3BWGW1KwMNGfXx88IwMk1+LjxnuDDPPy8urq6sbMGCAcnoNG1cUeRjZ\n",
       "djFQu5hQ0aNPn1SiZkYQMGrHjh3D6VZOnjxpwtEZMe13VmJEw0apGXrUfDx6wlXcePpICTypTydV\n",
       "v/3227iK1nez8NxFndRCkcvl+CeTgpMfmZubP5FxvyoHZYgRQsixt1J0ZqNVuvVEgMZfZFpamjaD\n",
       "RgHHFRQUvPDCCzt37kxMTIyOju4ImU+0HAeNjGfYqEgkwpMDSZLMysrCITgzMxNPHMNJFyQSiVAo\n",
       "lMlkcXFxCKG5c+cmJCRoX7W7u/uWLVtwFQY5la6vr8/IyHBzc3si4/6N7eiv11HPZ/TfHp14IkB3\n",
       "5CWCOgK8JNXMmTM//PBDLixJpR+4i0Obqd540Vj6U6WhGpxCH6xNzUzBUwGVzjcRQhKJJCgoSOV4\n",
       "SmraJD6/Vsq80TqZxscff4wej5khWuXroIpVSrihMilHW1WrzNGBX5o3b15WVpa/v/8nn3zyXzvv\n",
       "/SO/fjFM1Ei4BhCqkn5QHwIbg691QkUXBwRlkySRSMaMGePh4XHmzJlnnjHWEwoG+Hy+lpexLA0b\n",
       "xakBsbq6Og23qEefjYK3SCSStLQ0/OPE4/EkEkl4eHhMTAyeeIJPoolW6Y3kcvm+ffvwu6KioiZN\n",
       "moRUJcqgJ9P47rvv0JN3sOjpNfB92rYSbtDL0bBqDP/63rlzp7a2tqioqKio6N+d6yszMzPlta5o\n",
       "yPuIIOjlt26VymQjHKEiQMMSQSYmLy8vMjIyOTn5zz//5PP5XFuSim1isRifP3LteLa3t/d+zMbG\n",
       "RsMtT5WamkqFY/TkGEE/Pz98To13kEqlUVFRmZmZJEkGBQXRY59MJouKisKPo6Ojw8PDlTJvoFbJ\n",
       "NFr/CtLzdeA7ASoTbiiV07pqNTk6Nm7cmJ2d3dDQMH/+/JycHB8fH14/f4IgCBsX6iqnddIPpVap\n",
       "TDbCESoCtPaXhIAj8JJUr7/++meffcbZJanYRj7J0M35Dz0XB57kpskW9fAsbfw4JiZm8uTJOI8d\n",
       "3iKVSql8Sejx2kkqy/H19aUyb0gkkm+++UYp80brt7TOsUfP14HXstEk4Ubrqtt6S1NT0/bt211c\n",
       "XPr27fv777/7+fmJ1n+Orv1EZm7DXbUq/7TWrVKZbIQjVHzl2q+lArgAp2/29vZOSUkZPHiwoZtj\n",
       "APiynXiSoRvFLnqKjKSkJB8fH3qOC0QbI0gtx4HnSWZmZtKHD/r4+OA1aAiCiIiIKCgoQE/LvNH6\n",
       "x08pXwfSLOFG66pVvqW6uloqldrY2Li5uVGtmvz8lJgEORE0nyCIoKAglRM+W7dKZbIRriBbeeoO\n",
       "T5WUlITvNFKxnrqJ/FRvvPHGggULGFQKKDdu3JgwYcJ7771XUVFh6LY83Zo1a5KTkw3dCrZ0nOO5\n",
       "rKxMb3Xdu3fv2rVrjY2N/z6vKyNPLdVb7erp9nhW0R1Jan0ZGBcXl5CQgBOE41uOmieXAdqoqamJ\n",
       "jY29fv36hg0bBg4caOjmgA5EPx1oJEnizu7+/fv/ewpceAad/ACN/FwPtesfu/mgVfZVATaQJLlj\n",
       "x44xY8YMHjw4JSUFojNCCM+YwDfuOTuOyjSQJKl+nRedaG5uzszMtLe3x/f0EEKo4QG6sR29dAT1\n",
       "mcR27QbByigOfLd08uTJuDOe43N1TMD169cnTZqUm5t7+vTpOXPmmHxPq4bmzp2Lp2jjudrU1Ayg\n",
       "czU1NXfu3GG1itra2oyMjN69e/87fr++EiGErJ3QxC3IzjjWYGNARRcHHsWBOyVaj2zXRHx8PBUj\n",
       "8EjDtrpNMjIyFixYQN+Sn58Pdyk19+DBg+XLl+fk5Hz33XdwvdKaj48PPj/QT27rDovtVHZlZWWF\n",
       "hYWBgYHW1tYIIZS1A13fiqYlIwuNhh4ar6cMicXDUBjQsCM7ODg4Pf2JNXRxgnNmlXYoLS0tmzdv\n",
       "3rp166effsr2KshGjRpXC/0b7GloaGAvQOfk5DQ1NQUHB5uZmSGyBUleQ516oOlHkTknMuexSkUX\n",
       "h1AoFAgEeKSLJos/tqb5qt6AmX/++Wf06NFFRUVaLkl1+PDhcePGhYWFbdu2TYfN4wg8gCwiIiI6\n",
       "OlokEkVERDC7Uy2RSPABTE1Khl47JS4uLi4uLjovFic/srW17dev37/DwAkzFPY5euarjhCdkcoz\n",
       "aGooOON1GyE9I3vu37+/ePHiqqqqbdu20S/bi4qK4uLi5HL5yJEjlyxZQqXBvXr16ldffVVZWTlt\n",
       "2rTXX3+d3j19+fLln3/++cCBA9bW1m+++WbXrl2ff/55ff89bFJKtK/N8QyjktSzs7PTeZn19fU3\n",
       "b9709PTs3LkzamlC/6xBwXxk3x05eeu8Ls6CVb2NhkKhwKeBM2bMOHz4MD06KxSKmTNnRkVFHTly\n",
       "pGvXrlQkKioqeueddz777LP9+/dfu3ZNaS3nI0eOvP/++y4uLnZ2drGxsQcPHtTr32NUYFSSevX1\n",
       "9botsLKy8ubNm/369evcuTMqvYr2jUOugci+u25r4T4VAVonM6+MJT2jsUhNTR07dix+MGXKlHPn\n",
       "zr3zzjsfffRRXl4eQkgqlQYEBIwZM8bS0vKtt97KysrC70pJSZkzZ05AQECnTp3WrVunFII7d+58\n",
       "9+5d/LiwsLBLF2NKZK5PMCrpqW7evKnD0goKCoqKioKDg/+9ELyxHU3ahvym67AKY/GUiSrMRnHg\n",
       "9IxUOUrZGkG7UEtS/frrrz169EAInTx5cu3atWvXrq2srJw9e/b+/fs7depUXl6O929ubqbusjo4\n",
       "OBQWFuLHVVVVSovjvfbaaxMnTiwpKbG1td2xYweVoAAo0XxUEtBSS0uLTCaztbUNDAxE9ZWoxQpZ\n",
       "2qOxul/i1lg8ZRSHWCzG68y3C6zqrRONjY0bN278448/VqxYUVZWtnv37vHjx4eEhGzfvv3HH3/E\n",
       "CxXfv3//0KFD7777rr29/bJly0aMGLFr1y7qkiU8PHzDhg02NjY9e/YUiURfffUVvXxHR8eUlJTD\n",
       "hw83NTUdO3aMjZs8hqXy+o/ZoajhuzIyMhYvXkzfcvPmTZNPhKLNv+66urrly5cfO3YsIyNj/vz5\n",
       "7777bu/evV1dXdHtoyhtOYrYhZw79PhIFQGa0HqZeqC9L7/88ueff541a1ZKSsr06dNHjx4dGBi4\n",
       "evXqmTNnmpmZUefILS0teGmf7du347S2H3zwATWQ3NraOjk5ec+ePYWFhVu3bm3dhWpnZ/fyyy/r\n",
       "8+/SJ12dFmi+aGxwcPCxY8foWzrCsFGCILy8vJi9d9q0acnJyQghb2/v4ODgGzduDBo0CJ1bje5f\n",
       "RS8lIZvOOm2p8WElFwdg4OHDhykpKXZ2dn379h07dmynTp2WLFkikUjWr1/v6en54YcfIoTGjRs3\n",
       "YcKENWvWLFq0KDY2tqam5ttvv8VdE2ZmZi+99FLrYu3s7JSmAoH2glFJKrW0tJSUlCgUip49ezo7\n",
       "OzMr5MqVKwih0aNHR0RErFq16ttvv0UIId5ryOkzhGBC7NO6OIB+5OXlzZw5c9q0aRKJ5NKlSyEh\n",
       "IadOnUIIvf7660OHDqVGOuOU7SNHjvzqq68SExNtbGwOHDjg7u5uyKZzHj7/xdeCkZGRzMIrNSpJ\n",
       "IBDADRWEUGlpaX5+vpubG74v0l5NTU27d+8uLy8fNWqUs7Nz165d16xZs5E/ePZIN4QQcmJ4Pm56\n",
       "lAO0QCCgBmMlJSXhDN9wysA2oVA4Y8aMgwcPvvXWW8OHD7906RLebm1t7ejoeOLEiRMnTvB4vO+/\n",
       "/x6vwD1o0KBBgwYZtMlGIyIiQiaTrV+/Ht/rY3aBKJfLqRgNs64QQp06dQoJCflv5WwNnD9/XiwW\n",
       "37p1y8nJyd3dffv27c7Ozl9//bWLi0vZnVtlW8dYuA9Enqa8wDwDTwRofAVHHcH4KePh/eCpFArF\n",
       "3bt3y8rKDh48OGHChCNHjnTu3Pnw4cO//vrrP//8ExISsmXLlsDAwM8++2z9+vWbNm0aNWoU3BXQ\n",
       "PxiV1Fp7Z6ZUVVX973//o2/x9PRcsmTJTz/9lJ6ejq79jJzfQZ7P6rSNpuCJAI3TJFFPMzMz09LS\n",
       "GIziAJooKSmZPn16ZWVlcXGxn5+fjY2No6NjdXX1zz//LBaLt23btmLFilGjRgmFQltbW8i2wVhS\n",
       "UhKOp2KxOCkpiUEJMCqJ8uDBg7y8PB8fn06dOrXrjSUlJfSnYWFhM2fO/HLdF/NffgEhhAa8qcNG\n",
       "mhJ1fdCpqamQuJINDQ0Nzc3Nr776amlp6aeffvraa69FR0dbWFhMnDjR0tIyJiZm0qRJeDFjoD36\n",
       "hG+gDTwbhcfjMciL1Ldv3xkzZuzfv9/BweGll16aMWNGaEBXvrOXdRjzTDIdwRMBms/nCwQC6pRZ\n",
       "IBDABbXOLV68ODk5+e7du01NTdnZ2T179kQIjRgx4sGDBxs2bDB06wBok4+Pj6WlJYM3nj9/Hvdv\n",
       "rFy5curUqU5OTp6K6yh9GXp+O3Lp6J1F6lPIZCAAACAASURBVD0x1Ts+Pp7H41GTvHk8nvb9GwKB\n",
       "ANI8Uvbv33/ixAk3N7dTp06NGjXq448/Rgg1NzcfOnRo6NChhm6dqSFUMXSjjJgm0VmhUFy6dKmk\n",
       "pGTv3r3PPvvsu+++W1dX98MPPyCEunfv7urq2r17d09PT9RjJJr+F0Tnp1Lu4tAm6RdF6Z9Bh50d\n",
       "e+jQoW+++cbMzMzd3b2mpiYvLy8/P3/evHk//vgjQRAikWjSpEnPPPNMfX39/PnzhwwZYuj2mhp8\n",
       "yNEnlcAAjHZpaWmprKwsKyurra3t37//UwM0SZIvvvjikSNHqC0pKSne3t6enp79+/dfsGBB8eWD\n",
       "XUNbUNf3kDXDcdMdDSvjoIVCYVZWFj77FggEjAefGqmEhIStW7fW1dXV1NRcunTJ3t6+b9++9fX1\n",
       "CxcudHR03Lhx448//ogQunDhAp/PxyfRgD1paWkqH4O2KBQKkiQtLCzq6uqqq6s9PDwcHBw0eePd\n",
       "u3fp0Rmrq6ubP39+cFBAH9m6fhO8UdB8FppsslgJ0NHR0RKJhN6d3RHs379fLBZXVFRYW1unpKT8\n",
       "9ttvW7Zs+fXXX8+dO1ddXd2nT5+VK1e2tLTgscyurq4NDQ179+41dKtNX1JSEnVJx2wURwdBkuS9\n",
       "e/fKysoQQl5eXg4ODp06dWrXaI1u3boNHTr04sWLCKFXX311165d06dPj4iIsLS0jAp1R7x3UDCT\n",
       "5GsdGVszCamUBczWZDE6p06d2rt374EDB7744ov09PSTJ096eXnV1NQsW7Zs27Zt6enpffr0QQiR\n",
       "JOnm5rZr1y4zM7Pu3TtccluDgFEcmjM3Nw8ICGBwJ3DTpk1ff/21p6fnzp07k5OTAwMDn3322U2b\n",
       "Nt28ebN3VzvXnr0R6o16j2ejzaxqampqaWnBCyFWVVXV1NQ0NjYSBOHt7Y0Qys/Pf/DgQVBQ0L+r\n",
       "vbDgiQCtw+xfCKHw8HBfX19fX9/IyMi29rl169bGjRvpW86ePRsQEMCsRoO4du3aDz/8kJqayufz\n",
       "HR0dPT09bWxstm7dWlxcXFVV1a1bt7S0tNra2tzc3OXLl589e3bBggXMZscCwCqCINzc3Bi88cGD\n",
       "B3i4l1QqXb169S+//IIQqq6ulmXf8ivf7dDginp+puO2aqelpUWhUDQ1NZEkiXPwlpWVVVVVNTU1\n",
       "mZub45xid+7cKS8vt7S0tLOzw6mgCIKwtbV1cHD4d+FahDw9Pdlu6hMBWucnGk8d0u/t7f3RRx/R\n",
       "tzx48ABnnOCmhoaGLVu2XL16tV+/flVVVTk5OdeuXdu7d2+XLl12797t5+f3/PPPDxw4kCAIvFDp\n",
       "F198QZIkTmx048YNPp+Px9UBvaFy0SFaOjqgpLa2tqysjFnEoU9Cyc3NRQgVFhZWlNwJzom1/N8y\n",
       "5PmczlqpAYVCUV9f39jYqFAo8BoUpaWl5eXlzc3NZmZmgYGBCKHi4uLKykpLS0sbGxscoG1tbS0t\n",
       "La2srKgh3r169erVqxe9ZCcnJ33+IRgrXRyap2e0srLCFwsUBwcHLqdnnD9/flhY2Ntvvz116lRv\n",
       "b+/BgwcXFxenpaV9+OGHycnJCxcutLCwcHd3X7NmTadOnYRCIfVja29vD1mNDCIiIoI6S2Cci4Ni\n",
       "kje9S0pKSkpKGF+5+vr68ng8vI7Pp59+mp2dbWFh0T94INE/EVlpdHdRQw0NDQ8fPsRLUri7uxME\n",
       "gVve3Nxsbm4eHBxMEERZWdmDBw8sLS2pf3ouLi5OTk4WFhZU5hAPDw8PDw96yUprWXCHigBNz5eE\n",
       "GJ1Wm2R6xvT09L/++iszM3PLli1nzpyZN2/emTNnevTowePxtm/fzuPxEEKOjo5r164dP358eyfC\n",
       "Ai4z7WGjDQ0NVVVV2nSkEgRx+fLl1NTUHj161NdUOBf96TZ28dPf9qRHjx5VV1c3Nzc3Nzf37t2b\n",
       "IIiioqJ79+4RBGFlZRUYGEgQRE1NzcOHD/GZL/5Sunbt2qVLF3rOJjc3N6WOGmaTazhCRYDGGTnw\n",
       "OS+zJa+QCaVnrK6u/uOPP/7555/r16+/8847TU1N4eHhH3/8cVNTU3Nz8/Tp08PDw/Pz82NjY83M\n",
       "zH755RdIMsc12o/iMO1ho9bW1v7+/ozfXl5e/tdffxUWFs6YMb2qMMu74oDT2FUMymlsbGxpabGy\n",
       "surUqRP+vlqf53bp0kVp5Uz27s5xxFP+vMzMTGblmsaisZWVlZMmTaqqqkpJSamrqwsODh42bJiZ\n",
       "mVlmZub27dtJkvzss88KCgpGjBgRGRm5d+9eiM4chEdxYMwCa3R0dGRkJOOTFS579OgRszfifsiF\n",
       "Cxd26dLllVde+f3330+mHA2wvOU0RYwcezMo0MnJqXv37l27djVIVy9nqQjQQqFQIBBERUURBMFs\n",
       "kJxSPsaEhARjnCAglUpXrFjx8ssvv/32225ubhs2bPjhhx+2bdvm7u5+7ty5WbNm5eXlFRYWJiYm\n",
       "JicnR0dH40UCAXfocKp3eHh4ZGSk6U1EZLYa98qVK83NzYcPH75582aCIBYvmhMaGipY9F59vzeQ\n",
       "Wbv7E+rq6kpLSxk0oyNQ0cVBTfVmPOfbBNIzxsXFXb169cGDB6dPn/b09HzppZfEYnFDQ8M///xz\n",
       "69YtNze34uLi8+fPw1hmLuPz+WKxmM/n62TClIbDRpcvX07fkp6ePnDgQO1r17nKysr8/PyuXbu2\n",
       "610KheLnn39etWoVQujChQsujnab1y81r7z10sdfvzxrdnsXvmppabl3715JSYkexqsZKRUBGqce\n",
       "jo6ODgsLi42NNaXuNg1VVFScOnUKrzQcExPzxRdfHD169JdffrG0tHz//fetra1Xr14NuY24Lz4+\n",
       "Pj4+XiKR4BNnoVCoZZ6Zp55q+Pr6Kv0Y4ESy2lTKEjs7u/79+7drSRSE0KZNm9555x38uJ+P15Zv\n",
       "lt3NvphvNexaxqcMrrbxSOQBAwa0txkdh4oujpiYGHwcp6amUgNIO5Ti4mLcXxEcHLxy5cq8vLw5\n",
       "c+aMGzeuqalp0aJFqampEJ2NCNUHjdqYivVUOMQTBEHlZWyrr8Pc3NzlSdbW1lxLoXfv3j2EkLW1\n",
       "NYOwiIc5I4SGDRu25qtveMMnzViy6f33329XdCZJEg+dtra27tmzJ0RnNVT8toeGhuq/HVxQX1/f\n",
       "0tJiZ2fn5uZ25coVvAxdQ0PDkCFDzMzMHj58iJekMnQzQfvQJ6ow62ozmWGjCoWioKBAm/7GV155\n",
       "ZftPX29ePqvG7bkpU6YwuDhQKBRZWVmMVwHvaFR8vrGxsR0tuUxLS8vbb7+dlZXV1NSUl5c3ZMiQ\n",
       "2tra6dOnOzk53b9/38XF5bvvvgsJCTF0M0H74MOYz+drfwvEBIaNkiR548aNrl27ajVh6vbR336K\n",
       "PX6pMDV55+zXmIzOKi4u7ty5M2Q70JCKLg7thyUZnV9++cXDw+PUqVO9evWaOXPmlClTrl69qlAo\n",
       "Kioqli1bdvbsWYjOxkssFms/isN4h40qFIr79+8jhAiCCA4O7t69O+MPoba2thy5fb7pr8+F2/7+\n",
       "++/i4mIGhTg4OMCUWs09EaBxz1qHWoEiOTkZr2xy7ty5Bw8e3L179/XXX09JSYmIiHB0dPzss8/m\n",
       "zJlj8h+CqSJVYVCOkQ4bVSgU+fn5165d00HuhOqCqrKiW7duPSScj5++gBAaOXJkt27dGJTk6OgI\n",
       "nc6ae6KLA6fLMLohcZorLCxcunTp3bt37e3tSZKsqqrKzc09derU+fPnT548+eGHH7q6ui5YsODR\n",
       "o0f79+9fvHjxsGHDDN1kYHhGOmy0rq7OxsZm0KBB2p5hZG67l5tR2nOWp6f34MGDU1JScnNzX3zx\n",
       "RQZxtry83NXVVavGdDAqujhMbzQ+ZcGCBYsXLz558mRxcXFpaWlsbGxUVFRMTMxrr71GEMTu3btP\n",
       "nDghk8m8vb3nzZv34osv4iTOABiX2tpahJCDg4Obm5uW0Zk8tujanYbd0u4hQ//XtWvXuXPnjhs3\n",
       "7o033mjvAGqEUEVFBbNekY5MxU3CtLQ0+pdqFCcL6pWWlq5du/batWu3b9/28fEpKiry9/dXKBT2\n",
       "9vYVFRUKheLy5cs5OTnu7u7Hjh3z9PS8e/eui4uLhsv8AMARLS0t1dXVxcXFFhYW+K6mlpqamrK6\n",
       "vrH0o4+PHj2Kt+zYsWPNmjUMbvE1NDTcvn07ODhY+1Z1KCrOoLXvs9N83CirMjMzFy5cOHv27LFj\n",
       "x0ZERCQnJ1tYWMydO9fV1fXOnTt3794NDQ11dnY+ffr0zJkza2trDx486O3tbW5u3rt3b4jOJkMg\n",
       "EJjqPZVHjx7dv3//9u3b9fX1CKGampqKiopu3bppG50VjejMsprcsxkZGT169qaiM8asj+LRo0f+\n",
       "/v7cnLPDZazcJMTjRkmSTExMpGK0nt29e3fhwoWLFi1aunRpbW1tSUmJlZVVbGzsmTNn1q1bV1FR\n",
       "UVVVNXXq1J07d86bN+/QoUNnz54dMGCAQZoKWIWzM2pzwsEFJElWV1eXl5ffu3evrq4OIfTw4cP8\n",
       "/Pz6+nonJyec+9jJycnb21vbofoVt9BvE+7ZDcutcQgODu7SpcvatWsRQn369HnllVeuX7+u+Xoa\n",
       "9fX1t27dqqioQAg5OztzNucyl7F1k9Dg40aPHj0qEAgGDRpUW1vbs2fPvXv3vvrqq6+++qpQKBw5\n",
       "cuTAgQO/+OKLLl26XLlyBZIcmTa8GhPHkSTZ1NTU1NSE1/VobGzMzc1tampSKBR9+vRxdnZuaGgo\n",
       "KyvDr+IEx506derXr5+uGnD06NG4uDhnZ+fti0fe5623sOucdeHCW2+95eDgsHnz5mXLlrW3wIKC\n",
       "gvLycm9vb8hOpw22rjjwNDyEUHx8vEH6N2xtbfEdCXt7+4EDB0okkt27d//555/4rLm+vn7v3r1K\n",
       "i7kAU8Wpeyo4Q1BDQ0NDQ4O7u7uLi0tTU1NWVhYOvt27d8chuE+fPpaWltRICRsbG1YP19emTXSw\n",
       "RjfIzn/NmjWuX+8uXbpQ/SRr1qz56aef2ltg586de/XqZWJ9SvqnIkBrv4YbHjdK/UtQGkZKV1ZW\n",
       "dvDgQfqWW7duKS0Fxszzzz8fHh7eqVOnbt26Xb9+fenSpTU1NT169EhOTl69evX48ca3wDBgBndx\n",
       "GLoV/yFJ0srKyt7e3srKCncXWFpaKnWvEQSh15U5bycfXoBW/eP9/JzF165dmzVrFn3otOYrkuDF\n",
       "kf38/KytrWFRIZ1QEaC1X8NN83GjCoXCxcWFvsXa2lrLf06XLl1KT08fMGBAcnLyr7/+mpOTs3Xr\n",
       "1nv37n3yySfTpk07efKkUS+BA9qLz+dT13NcYG5uzmCMGksePnyYufNNT7O8zADRZD/zH3/8cfv2\n",
       "7QghMzOzP/744+uvv3Zxcfn00081KaqwsLCystLb25taDBBoT0WApvfZMUucpPmisW5ubjNmzKBv\n",
       "OXr0qDYTn0Qi0alTp8aPH//tt9/269dv+fLld+7c+fDDD21sbPbs2aO0gg7oCMRisZZrbJqw2bNn\n",
       "p/z15ytz33B0LPj222+bmpq2bds2ZMgQhNDzzz///PPPa16UjY1NYGCgya9BpWeq1ySkH9C4F6ld\n",
       "h7X+s3/l5ubm5eUFBwfv2bMnNTXVzMzs7bffHjVqVGNjY0pKytq1a8eMGcN2GwA3aR+RNT/hMCY3\n",
       "tqOm2qNHjy7+8GOZTLZp0ya8+cGDB8zKU1otEOjE08dBMxucRN0hTExMpBLNsGTdunXvvvvuuXPn\n",
       "pkyZ0tjYiH/Dk5OTb9y4YWNjc+bMGYjOQBtcGDaqS/WV6MgsVH6z3nfO9u3bU1JS9u/f/8YbbyCE\n",
       "RowY8cknnzAosrKyEi5N2KDiDFogEGh/Sai3URzl5eXHjx8/fvw4Qig6OtrLy2v79u2HDh0iSTI4\n",
       "ODg2Npa9qoFR0P6mN+LAsFFdun8NBQsqOw3ISL9cV1f34Ycf+vv79+/fnzqJbq/a2tr8/Hylm0lA\n",
       "J1R3cWj5Y6j5KA7tFRUVUaNBLS0tbWxsPv300+7duwcHB//8888sVQqMiPY3vREHho3qgKIRlV1H\n",
       "boNRrzF37tzJzciYMmVKTU0N0qJbAyFEkmR2djaPx9NdQ8F/nnKTkBl9Zv/y8/O7dOnSvXv3Ll26\n",
       "tGzZMg8Pj/Pnz8OdCqBD7Ro2euLECfqWvLw8Zmk5daziFjr2Jhr4VkvXQdnZ2VZWVjt37sTRGSF0\n",
       "7ty5iRMnMiu4rq6ue/fueh0U2JGonqjCqYH96llbWy9duhQvfzl69Ojvv/8eojOgS0pK0nKFIM1P\n",
       "OBobGysrK+lbGhoadJCOWUtF51BqLJq4pcG2Z9a1az169OjWrRt9qJ+joyODUpubmy0sLOzt7WEO\n",
       "N3tY6eLQm4cPH3766acZGRnHjh0bNGiQoZsDuAivEKRNCZqP4vDw8FC6AL148aLhA7TH/9CMlMrK\n",
       "yrwbN/z9/Xft2pWenj5+/PihQ4devHgxMjJy+PDh7S3y/v37hYWFAwcOhLmCrFJxsokH9uu/Ke21\n",
       "Y8eO0aNHDx48+O+//4boDNqifZexsY7iuP0XOvYmflhQUHDnzp3+/fsfP378zTff3Lx586xZs/bu\n",
       "3VtRUXHo0CEGF50FBQUDBgyA6Mw2FV+MWCz29fXlcnrG3377rVu3bp999tnw4cOnTZvGzUYCjsD5\n",
       "zbU8nvU5bFQHFA3oRAy6vgU982VLSwteDbl///6WlpZFRUXUXuXl5cyGXjQ0NDg6OkJfoh6wkg+a\n",
       "PdXV1W+99Rafz9+/f39+fv6oUaOWLl1q6EYBTtPJ8Wxki8Y+LEJuIWjKvkbCNiMjw9XVtW/fvvjH\n",
       "KSoqCk8LeOWVVxgvhWxtbW30Yw2NhNH8BpIkuWPHjgkTJnh6ei5atGj06NEIoVmzZl2/ft3QTQMc\n",
       "hTs3tO/iMKZFY++eRQghJy/Em1NdXX39+vW+ffu6ublRr7u6up44cYIkyV27dsEpMPepSNiv8oFh\n",
       "XbhwYfTo0bm5uX///feLL76Yl5eHtz948AAOMtCWoKAggiC07+IwjkVjG6rQkdko799hKvfv38/J\n",
       "yQkMDNT52kDNzc25ubm6LRO0hesr0JSVlX3wwQeVlZVbtmzBZzEBAQEODg5vvfVWYGDggQMHNEy1\n",
       "BTqg+Ph4PK/E6PNmPFVDFToYgcLiUO9xJElKpVKSJAcMGKB0+vL777+vXbvW3t5+w4YNjNcPamlp\n",
       "wStsAT3gboBWKBTff//9zp07V6xYMWXKFPpLP//884ULF+7evfvLL79AgjqgnulHZ4SQtTOalYYQ\n",
       "am5uvnnzppOTU+/evVvvFRkZiR+sXLny0KFDem0hYISV/gFq0VhKewcnnTt3bvTo0ZWVlWfOnFGK\n",
       "ztiwYcOmTp0K0Rl0aBXZKPEFpGjEz+rq6q5du9ajRw+V0RnRsgfb2toyrtPMzMzOzo7x20G7PHEG\n",
       "jXvr8GNtxq5R6UbxU7lcTp8p+1Tnz58vLi7esmWLv78/4zYAYOKub0a3fkXPxSNzK/R45khQUBDO\n",
       "l//tt9+ePn166tSpr7zyCvWODRs2xMXFOTg4rFu3jnG1FhYWffr00br1QCNPBGgd3vqgL2Dh4+PT\n",
       "rsT/PXr0OHLkiK5aAoAJIhUIITTtL2RmQZJkbm5uY2Mj1el8/Pjx6OhohNCBAwdCQkICAgLwm4YP\n",
       "H/7HH39oU+3Dhw8tLS1hzRS9YaWLIy0tjT6YXy6Xt2tYkk7WJAQAE4lEIpFIIBAQBCESiQzdHK0V\n",
       "nkGN1YgwR/3fQGYWzc3NmZmZ1tbWAQEBZmZmJSUlR48ezcnJoXYvLS3VVc0VFRVyuZxaxxboASs3\n",
       "CZOSkpTGsbeVpKaxsbGwsJC+paamBjJjAR2KiYkhSRInGiUIAp9aGiVFAzrzMXpUhp6Lxxvq6upu\n",
       "3rzp5eXVuXNnhNCdO3eo3ufRo0efOnVqxowZI0eO1EnlVVVVeLI4BGh9YiVAa56eJjc3d+PGjUpb\n",
       "GKRuAUANuVzObHVNbvljRq7lsPlfXWpZM2Ht2rX9+vXLz8/n8XjUHb9Tp05R+y5duvTkyZM6rNzK\n",
       "yiowMBCis56xEqA1z/7Vr1+/+Ph4+paEhATDZ/8CJoTP5/v6+iYlJQkEAqFQaOjmaCHy8JsTJpw+\n",
       "fRohlJyc7OzsPHDgQHrEHDp0KPV44MCBuq0cRm4YBCt90Maa/QuYovj4eJIkw8PD4+PjmfVvaD9s\n",
       "lLlHZej3SFRyGT8zNze3sLBYvHixg4ND6/NZf3//7Ozsbdu23b59W1cjUBUKxZUrVxoaGnRSGmgv\n",
       "tiaqmNQabsCY4es5nKY5MjKSwZqEWg4bZa7wNDq1BI38Arn9m9Xom2++SU9Pz8rKioiIUDkQ1s/P\n",
       "z8/PT1f1KxSKjIyMPn36wLANQ2ErQOtqDTexWLx9+3ZLS0t/f//vvvsODhTQXhERETKZbP369fHx\n",
       "8YzXJNRm2KiSgoKCyspKjWZaPyxCLyUhW1f8rKqq6tGjRy+99NKcOXMY194uZWVlHh4esBqsAbHS\n",
       "xaGr7F/p6ekpKSlnzpw5derU0KFDv/nmG921EQBNaTlslO7AgQOenp4DBw5ctGhRmztVylDFTYQQ\n",
       "6vcyFZ0LCwvz8/ODg4M7derErGoG3Nzc6JnwgP6xEqB1lf3r/Pnz06ZNwx1ts2bNOnv2rM6aCDoM\n",
       "POhTLBYTBMFsTUJcAtUBjW85trVz5ZOUem93796NH/z000+q/1Fc34yOCZDFf3fkWlpasrOzGxoa\n",
       "goODLS0tGbQfGC/uJktCCHl5eZ0+fToqKgohdPHiRW9vb0O3CBgf7dck1LyEGzdurFq1ir4lMzOT\n",
       "3h8SEhJy8OBBhNBzzz2nohP5n7Wo6SGa/hcy+zcQNzY2ZmVlubm5de/eXZs/ARgpTgfoiIiIAwcO\n",
       "TJ8+vVu3bhkZGQcOHDB0i4AxUXkbjUGw1nzYaGBg4L59++hblIaNfvLJJ35+fvfv36enyPjP8I/p\n",
       "z6qrq6VSqa+vr5OTU3vbDEwDpwM0QRBbt27Ny8urra0NCAiAQfKgXXQ10IIaxSEQCBBCDMaBUAiC\n",
       "mDFjxhObFA3ozCeoa38UOI++ubi4+N69e/3794cb4x0ZFwP0qVOnmpqalDbqZJGh06dP62eFWZIk\n",
       "q6qq9HP7u6mpqaGhQT/3jmpra4cPH67bv+vixYuMF8dTD5/nKn3j2oziYDZsVOXxjDm3lIyq33nT\n",
       "cpTcshGlisvLy9PT0+3t7YcPH25paZmamqqrSVsPHz60srKysrLSSWl0VVVVTk5ObPyzqqiowFPY\n",
       "jaXklpYWR0fHkpISHR7PnAvQ4eHh7M1ZSktLo3KWs0qhUKSmpk6dOlUPdd25c6ekpMTLy0sPdeXl\n",
       "5VVUVOj2ZsDs2bPxCpM6h3shdHIezXjYqPrjuWt90RXnmFrzrvgXTyqVlpeXv/DCC3V1ddnZ2a6u\n",
       "rtq2+7GCggIXF5cePXroqkDKlStXRowY4ejoqPOST506NX36dJ0Xy17JVVVVV69eXbx4sS6PZ7Ij\n",
       "GTNmjH4qevTo0aRJk/RTV0pKyqpVq/RTV1xc3NGjR/VTl66EhoaqfKw5mUxG/5ei9FSHJBLJ2rVr\n",
       "2Sh5/fr1f/zxBxslz5s3Ly8vj42S2fvXylLJUql04cKFui0TVlwFJgunGKUvGsusHONYNBaYIgjQ\n",
       "wGThLBz0s+YOsT4hMCEQoIGJg6AMjBcEaGDicEeHlr0cABgEw9wxRkoqleow1xdH6qqtra2qqmLj\n",
       "Bn1rRUVFjo6O+kwHoT3GCZL0r6am5uHDh2xMGrx37569vT0bYy3kcrm3tzdeC1G32PsXxFLJzc3N\n",
       "+fn5ffv21WGZRnPsAsBMW7P+AOA+CNDAxOlkogoABgEBGgAAOApuEgIAAEdBgAYmDkZxAOMFARqY\n",
       "OLFYTE1XwSsTAmAsIECDDiQzM9PQTQCgHSBAAxMnFAoFAkFUVBRBEEFBQYZuDgDtodvcSxxELThE\n",
       "5WRovYWlijChUCgUCnVYkcq6hEIh3sLn89mui+ookMlkuq2rA2Lv42XvyGfvUGfpwGbvQ6bKSUpK\n",
       "0m3JmImfQUskkqCgIPynBgUFSSSS1ltYqojaHhMTo5Mq1NQlkUiysrLwFrwDq3VlZmaSJJmUlDR3\n",
       "7lxdVdQxsffxsnfks3eos3Rgs/oho8fnuHhRNJ3/6+Bcwn7dCg8PpxYo4vF4KrewVBFCSC6Xx8XF\n",
       "JSUlSaVSXVWksi5cPh6iwOfztVmT6al10dcTMYoeAy5PVFH5VeJVksPDw/G/eV2VrKsjn71DnaUD\n",
       "m71jmF4ypquvj2LiZ9AU/FNM/zRbb9F5Rb6+vqxOMqbqysrKQo9/yXk8ng7PoFvX5ePjExsbSxBE\n",
       "XFxcfHy8zivSOfoFI2dHcdAPGypNBH05cJ2U3NYW7UvW7aHO0oHN0jGMx3FSXTG6/fpM/Awaw2t9\n",
       "0r+J1lt0XpFIJEJPnr5FR0ezVBePx6MOCz8/P6lUqtsfHqW/C191yuVyI8pDhInFYg7+qCgdjdTX\n",
       "p/06nOwd+ewd6iwd2Owdw/Hx8fHx8SKRCH8OOvz6EOoYNwmp/vu2trBUEZaUlMTGTUJ6XUlJSdQt\n",
       "FKFQqNu/Tqku+o0gozh+6Ee7zu+gaq/1V4lvZFEPdFWyyi26KhnT/lBn6cBm6Rim/724TB1+ff82\n",
       "T/siuEzpklYoFLbewlJF1Es6D9Aq66KusPRQF3XtxsbvXIei8uPVyTAA9o589g51lg5sVo9hqnDq\n",
       "h0S3oziM7BIVAAA6jo5ykxB0TPREHBKJRCQSsXEHFQCWQIAGJgvfF6KuFhMTE9kYtwMAe6CLA5gs\n",
       "pRv0YWFhaWlpcMADIwIBGpis1iOojG5cIOjgoIsDmCw+n497OTCBQMDZiSoAqAQBGpis+Ph4Ho9H\n",
       "3STk8XgcnKUCgBpwxQcAABwFZ9AAAMBREKABAICjIEADAABHQYAGAACOggANAAAcBQEaAAA4CgI0\n",
       "AABwFARoAADgKAjQquG1cPAaNphEpiWaWgAAIABJREFUIiEIQi6Xq3+jQCBoax+l1UupjRRtGowe\n",
       "rzxEr0j7Mo1XWFgY/lTDwsI034eenlTpe1Tz0lMrVflFMCtQzd/FrEDqXUqJWEUiEf3gpP9b0HML\n",
       "sdafofYtVHoL4wKpt7d+iybHIYZjDp1EIoEA3abQ0NB9+/ZRTxMTE3WyCiQdQRDUsgtCoVDlP2PN\n",
       "Ua2F2aESiSQoKAh/sEFBQSpzQKvcJzMzk/pGfHx86PureUlNgfh3XWUjGRSo/u9iViB6nJFVaRXq\n",
       "6OhoKlMrn89XucygHlqo5jNk1kKRSERtycrKoreQWYHU9piYGA13bovSKlnh4eEQoNWJiorCn6lc\n",
       "LqevVE+dCFC5eKgtrfdp63dYIpEIhULqMI2Ojubz+RKJRC6X04vFJxpKNcrlcqVfZoFAkJaWhl9t\n",
       "fTQrNQYf8a1PmkxGeHg4lXaD/sVpso+vry/9m6VT81JbBUqlUpK2wJKWBT7179KmwLYIBIIlS5YY\n",
       "qoXoaZ9he1uo1DCpVKp9gXK5PC4uLikpSZOd2wUCtDqTJ09OTExECB05cmTy5Ml4I/2kAz+lbxGL\n",
       "xSr3aV24VCqlVizGeDyeysMFx2hcWmZmJnVtSJUvl8vj4+NDQ0NV/mNr3ZjExER8IuPr68vogzEa\n",
       "EonkqUn6qX0kEglOGE2SJI/Ho39ral5SX2lb61szLlDNFsYF4t9vavU/pT0RQirPdvXWQvVrhLe3\n",
       "hdHR0fv27VM6ndKmQISQr69vamqqhjurkZaWRu/iQBCg1fPx8cnMzEQIZWVlUV+YVCqNjIzEjyMj\n",
       "I6VSKX0LTmgplUrFYjH+lGNiYlSGXbyMfOuNKptBZWWj1nIPCgpSetCW1o1ZsmQJPpE5cuSIBh+D\n",
       "sRIIBImJierPEOn7hIeHk497h5S+HTUvMahUywJVVqFNgfHx8fi9ra/2EhMT2zqX1GcL1WDQwtTU\n",
       "VOp3QvsC8YdGEERERERMTEzrz1DzP0epiwNBgH6qqKgokUhE/yL9/PzwaTVCKDEx0c/Pj74FB3Q/\n",
       "Pz/6IsQqTwHCw8NjYmLwzzXubaB+Y3EhCCF8Po6/clwUg37w1o3x8fEhSVImk9E72U1MWFhYZGSk\n",
       "+n8VSvvgDkr8WOn6Rs1L7a1UywLbqoJZgfR3qZSZman+XJLtFj5Ve1sokUioDpaYmBjqyphxgVTP\n",
       "NV7UXOkfe3v/HGUkUEUmk+FfM5lMhh6voB4aGoofqFlrvfU+6PHS7io/baWvAxdIRWE+ny+TyXAb\n",
       "qC1JSUkymYxeNa4RPf4FRrQODaXm4cZQT7Vcc56D8CeglJgf/z4pnZ6o3IfaSP2kUe9S85KaAlvv\n",
       "qU2B6v8uZi1sfTBT76IfZgZsoZrPkEEL6Rup41/LAjEcoOnv0uQ4pND/mVP7Q4AGHUVb/zCgQCiQ\n",
       "swVCwn4AAOAo6IMGAACOggANAAAcBQEaAAA4CgI0AABwFARoAADgKAjQAADAURCgAQCAoyBAAwAA\n",
       "R0GABgAAjoIADQAAHAUBGgAAOAoCNAAAcBQEaAAA4CgI0AAAwFEQoAEAgKMgQAMAAEdBgAYAAI6C\n",
       "AA0AABwFARoAADgKAjQAAHAUBGgAAOAoCNAAAMBREKABAICjIEADAABHQYAGAACOggANAAAcBQEa\n",
       "AAA4CgI0AABwFARoAADgKAjQAADAURCgAQCAoyBAAwAAR0GABgAAjoIADQAAHAUBGgAAOAoCNAAA\n",
       "cBQEaAAA4CgI0AAAwFEQoAEAgKMgQAMAAEdBgAYAAI6CAA0AABwFARoAADgKAjQAAHAUBGgAAOAo\n",
       "CNAAAMBREKABAICjIEADAABHQYAGAACOggANAAAcBQEaAAA4CgI0AABwFARoAADgKAjQAADAURCg\n",
       "AQCAoyBAAwAAR0GABgAAjoIADQAAHAUBGgAAOAoCNAAAcBQEaAAA4CgI0AAAwFEWhm6AssLCwl9+\n",
       "+cXQrQD6Y2ZmtmDBAldXV0M3hBVwPHc0uj2eORegU1JSysrKJk6caOiGAD3Zs2dPenq6qX7jcDx3\n",
       "NLo9njkXoBFCPB7v2WefNXQrgJ5cvHjR0E1gFxzPHYpuj2fogwYAAI6CAG0A9fX1jx49MnQrAADa\n",
       "Kisra2xsZK98LnZxmLD09PRPPvkEIaRQKOzs7FatWhUSEmLoRgEA2u3Ro0e3bt2qqqoKCAhwd3dn\n",
       "qRZWArREIomIiKBvSUpKCg8PZ6MuIyIUClNSUrZt29ajRw+EUH5+Pp/Pnzt37uzZsw3dNABAOzQ0\n",
       "NFy8eJEgCH9/f/aiM2IpQMfFxclkMh8fH/xULpf7+vqSJMlGXcbihx9+uHnzZmJiorm5Od7i6el5\n",
       "+PDhqKgoV1dXuMsPgBGxsLDw9PR0d3e3trZmtyKWyqWiM34cGhrKUkVG4a+//jp58uTevXvNzJ7o\n",
       "9Le2tt61a1dERMSgQYO6detmqOYBANrF3Nzc09NTDxWxcpMwLS1NLpdTT+VyeVpaGhsVGYWSkpLl\n",
       "y5dv3rxZKTpjDg4Oa9asef/99/XTGLlcTjxJIpG0txCCIJ66RfP3AsB9tbW1OTk5LS0teq6XlQCd\n",
       "lJTk6+tLhQBfX9+kpCQ2KjIKMTExX3/9tZOTU1s7jBo1iiTJc+fO6ac9oaGhJA2DewOte6s6eP8V\n",
       "MGEtLS15eXnp6enFxcUmEqDDw8PJJ3XYO4R//fWXs7PzqFGj1O+2Zs2azz//XD9Nak0ulwsEAvxr\n",
       "KhKJ8OOwsDCllwQCAd4fnwWLRKKwsDD8mDovFolEeGf89tbvBcCIVFZWXrhw4fbt2+7u7sOHD7ew\n",
       "0PewN3ZHcVCDN8LCwlJTU9moi8uam5tXrVp15MiRp+7Zp0+fHj16pKWlKXXWb9myRSaTtbfefv36\n",
       "zZs3r61X09LS6P0M+ORXLBbjBwRBJCUlxcfHCwQCiUTi6+tLvYS30H9rg4KC6F+rXC7ft28f3lkk\n",
       "Er377rtU+WFhYXK5nH5nAgAuI0kyJyensLDQysoqODjYULli2B3Fgc+bOuzp87Zt22bMmOHi4qLJ\n",
       "zosXL46NjVUK0CEhIQzuRXTt2lXNq6Ghoa1/LPl8PvWq0vdFvRQZGSmVSumv8ng8+p4ymSwqKgo/\n",
       "jo6ORo9PqNvbfgAMrra2trCw0MPDo2/fvtTIK/1jdxQHPhHz9fVlqRYOKitDq1ahpib07beNW7du\n",
       "/fvvvzV8Y79+/ZqamgoKCnr37k1tHDRoEDvNbAexWBwfH48QSkxMjIyMVLOnr69vXFwcDs34Kkoo\n",
       "FFJn0PppLQA60alTp5EjR+q/T0MJW9VT17Px8fFq/nHm5+f/9NNP9C0XLlwYOnQoS61i24ULaNIk\n",
       "9MwzaP16lJCQMHPmTEtL259+Qm+8gSwtn/72hQsXbtq0ie3OaKUuDqFQOHnyZDX78/l8vD+fz1d/\n",
       "MeTj4xMVFUUVLpPJfH19Y2Ji8HvpQ+MB4KCWlhb6UCuDR2eEEMHG/XelmSlqJqo8ePBAKfnThg0b\n",
       "OnfuvGvXLp23im03bqDRo9GHH6Jly1BLS0toaGhKSoqZmf3//of8/dHu3eip10kKhWLUqFFnz55V\n",
       "OSDPIORy+fr16/EZNEvWrl0bEhJiqlN1EhISWlpa5s+fb+iGAHWam5tlMllpaWlYWJiWcVm3xzMr\n",
       "PxE+Pj70cKz0lM7JyUkpE+PevXv1P5ZFJ7ZvR2+9hZYtQwihw4cPjx8/3t7eHiF07BgKC0PvvIOe\n",
       "vFRQwdzcfMyYMSdPnhw3bhz77QUAIIRQeXl5dnZ2Y2Ojp6cnF86a6fR0ptYRuiDXr0dU58SmTZve\n",
       "eecd/LhrV5ScjPbuRXv2PL2Q2bNn79y5k7U2tpuPjw+rp88AGFBDQ0NGRkZGRoatre3w4cO9vLwM\n",
       "3SJlegrQHWqMnVQqdXR07N69O7XF2xtt2oQSE5/+3qCgoJycHFYTGAIAEEL19fXp6emVlZV9+/Yd\n",
       "OHCgra2toVukAlf6Oo3a/ftPPMVjV5T2mTZNozNohNC4ceOOHz+uo6YBANrUpUuXoUOH9u7dm7OD\n",
       "QVkJ0BKJRPuED8bi/n3k5YUqK/992tTUdO7cudGjRzMucPr06b/99ptuGtcKzsUhEomoLfjLoudO\n",
       "UUkgELS1jyYHt5q3A2AQNjY2/v7+dnZ2hm6IOqwEaDxRhZrnLZPJlNJDm5Lvv0f/+x+iJqMcOXIk\n",
       "PDxcTcy6cQMpFOoKDAoKunnzpkL9TloIDQ3dt28f9TQxMbGD5xoEHUR9fX1RUZGhW9E+bHVxdJB0\n",
       "owoF2rwZRUf/t+WXX3557bXX1LzlvfeQWPyUYkeMGPHPP//oooGqRUVF4WsauVxOnw3YOnUGtaX1\n",
       "PvTT8LZeav12APSPJMm7d+9euHAhNzfXuAaJQbpRrRw5giwsEHV58ODBg+rq6j59+qh5y3vvoeXL\n",
       "0YMH6oqdPHlyUlISSaLXXkPPPffff9RtRjUvaWLy5MmJiYkIoSNHjlCzVHDIxhc9+Cl9i1gsVrkP\n",
       "VaYmbzdS1BgkqsvOsO0B7VJXV3f16lWpVOrk5DRkyBDuTDLQBCuD/nC6UaUtbFRkcJcuoTlzEPWN\n",
       "JyYmTpkyRf1bXngB+figH35An3zS5j7PPPNMXFwcQaApU1BV1X/b+/X794GalzTh4+OTmZmJEMrK\n",
       "yop+fP4vlUqpmdw47QZ+gLfgjBxSqVQsFlPRVigUUnMLW7/U+u1GTSAQUJMhO2byL6NDkuSdO3fy\n",
       "8vLMzMz69etHH1hlLFgJ0DjdKBslc82qVU883b9//+bNm9W/hSDQF1+gGTPQu+8iBwfV+1hZWTk5\n",
       "OZWWlkZFtbnMyuOsRAxFRUWJRCJ6/4afn19iYiIOuFTaDWoLDuh+fn5CoTCa3qdDe7vSSxKJROnt\n",
       "AOhTVVVVTk5Oly5d/P39raysDN0cJozpbJ/jqqqqGhoaNFlBctw4NHUqqqtTv8+4EydO6KxxrUye\n",
       "PDkmJoaehQNHUuoSPjw8XGkL3piVlaVycE7rl1q/3UilpaUJBAKl1H2A+5ydnYcOHdq/f38jjc6I\n",
       "pVwc2li4cGFLS8uWLVsM3ZB227VrV3l5ucqzSwaysrI2bty4adMmnZTGZUaRiwMn5+Pz+fHx8QRB\n",
       "tJX46caNGzg5FCU3N3fcuHEd4XvsaEiSPHjw4Pfffy+RSGxsbKjtRpCLoyOoqkIffIC2bv1vy+HD\n",
       "h9evX6+r8nk8XlZWlq5KA1qi99qpOacJDAw8duwYfQs+4WC3cQAhhFBLS0tubm5lZeWQIUNYvWgj\n",
       "SfK3337buHHjiy+++Oeff9Kjs85BFwdDf/6J6Gn48BDL9ibXv30bqbmA8fLyun37NsP2Ad3Bc3nC\n",
       "wsKoUYMw6YZrcF7MO3fuuLi4sBqdT5w4MW7cuEuXLv35558fffQRTojGHgjQDCUmopde+u/pmTNn\n",
       "xo4d295CZs1CauYMjhs37tSpU4xaBxCijYqjY1BOXFwcSZJRUVGZmZl41ODcuXN13lrAjEKhyM7O\n",
       "vnz5MkEQgwcPZi/n+OXLl8PDw/fs2bNz585169Z17tyZpYroIEAz0diIjh5F9NVFkpKSnn/++faW\n",
       "ExWF1HSKPPPMMydPnmTSPoAQejwEWwnj0vz8/KK0HDoDdK2+vv7ixYv37t3r3bv3kCFDHB0d2ahF\n",
       "JpPNnDnzyy+/FAqF8fHxPXv2ZKMWlaAPmonUVGRnhwYO/G/LxYsXv/nmm/aWs2ABWrECpaUhlRMt\n",
       "fXx88GBkYHByuZwa1gK4o6GhwdbWlsfjsRSai4qKVq1aVVBQsHr1aoOs9ARn0Ex4e6MNGxB1uSyX\n",
       "y729vRnMUHJyQvPmoVZTpv/To0ePu3fvMm0mQOhxD7JAIMCrkjMoISEhgT7xiiCIhIQE3TUQMOfk\n",
       "5DRgwAA2onNNTc3q1aujoqKmTJkikUgMtQ4fBGgmPD3R7Nn/PU1OTp40aRKzot57D6k5Sx45cqSp\n",
       "zpLXm4iICJlMhhCKj49nlrRLaUkgkiRhcUVDaWpqqqLPoGVBdXX1smXLwsPDQ0NDz549y6DrUocg\n",
       "QOvA8ePHGS9S5eODrlxp81V8iDBsFgCmpbS09MKFCzdu3GCp/Pr6+i+//HLixImDBw8+ffq00mp8\n",
       "BgEBut1qa9GjR/89bWxsrKio0GQCIQMDBgy4oiZ+Aw3gzDBisZggCFPNCWPyGhoarl+/fuPGDWtr\n",
       "6wEDBui8/ObmZrFYPHr0aBcXl9OnT8+YMYMjOZXgJmG7ffABCghA1Hyxf/75Z8SIESzVZWlpaWVl\n",
       "VVtby/ZwSxPWcTLDmCSc8Oj27dsEQfj7+3t4eOi8fGrWyYkTJ7iWv58TvxLG5ehR5O//39Pjx49r\n",
       "fyl06xZqaw2WYcOGXb58WcvyOzKYV2LU7t+/n5OT4+DgMGTIEJ1H5/37948aNSo3N/evv/766KOP\n",
       "uBadkcHPoOnpLrGbN28a6oapJuRyVFT0RDA9e/bsRx99pGWxvXujzEx08iQaM0b5pREjRpw7d27U\n",
       "qFFaVtFhkSQZFhaWlpaGM2kYujmgfTp37ty/f/8uXbrottjLly+vWLHC3d39119/7dWrl24L1yED\n",
       "B2gej2dcuQtOnEDDhiHqh/bhw4fm5uba//Da2aH589EPP6gI0MOGDdu2bZuW5XdwOHczHm8H3R3G\n",
       "xcLCQrfR+datWytWrDAzM/vmm2/8/Px0WDIboA+6fS5dUj59HjlypE5KFghQ//7o3j2klFXc3d29\n",
       "pKREJ1V0WAKBQCwW8/l8iM4cR5JkQUFBXV1dQECAzguXyWSxsbEIoVWrVvVr1woXhqMiQOOb3TBp\n",
       "SqWVKxH9dl1KSkokfca3Fnx90bhx6MAB9M47yi/16tXr7t27PXr00ElFHQ0+nqFzg/tqampu3br1\n",
       "8OFDnfc1l5aWrlmz5v/tnXtcE1fax59wF7mIoAjSIpKAIoIggsJWEasV0Uq1YvvqVpdV6LproYtt\n",
       "XYu3inWtbgu2aqFWS7W1Wi+xKql4RSUiglVElCSCCIaLXAwQQgLJvH+MHccQMPdMwvn+4YcZZ855\n",
       "kpz8cuY5z3meu3fvrl+/XlszKv2gYJEQwzAmk4mn79K/QRRn2LAXyqAUFhZq0WP+44+waJGC86Gh\n",
       "oTfIqfMQqoBhGJptUBw84VFRUVF3d3dgYKAveRVeM+rr6xMTExctWrRgwYKzZ88alzpDb1EcmZmZ\n",
       "GIZlZ2f3LJyBIBAIBLa2tlos1uDiAk5OCs6HhITotMi3aaP5Vm+EThGJREVFRXw+383NbcKECdrK\n",
       "EicSibZv3/7WW29FRUXl5uYa6XRTsUDjeW+XLFmCJwBLS0vTs1nUhM2Glpbnh1euXNFPcEVwcDCK\n",
       "tFMbzbd6I3RKa2srjUYLDAwcNWqUhYUWVsW6u7u/++67qVOnOjo6Xr58eeHChcZbdE2BQNNotNjY\n",
       "WAzDiLrFqIAxzvLlQE6McenSpcieURcas3s3yFVYtbe3b29vRwtcCJPE1dU1NDRUKxNnqVSalZUV\n",
       "ERGBYdiVK1eWL1+uFcU3IAoEOjw8nPDZGelzgS5obIT794HscC4qKtJFyHZpKfz3v/In6XT6gwcP\n",
       "tN5XfwBt9aYa3d3dYrFYu21iGIbvOmlpabl48WJCQoKlpaV2uzAILwg07tlgs9malJ8wVfLzgcGA\n",
       "oUOfHba2ttrY2OhiEKxYAUeOgFxkXUhICPJyqAe+1RsHrRYanCdPnly/fr2kpESLbV64cIFchoqC\n",
       "GwLV5gWBxtcGw8PDiQGNnBsEbDaQV4Dz8/N19HgxZgxERIBcVNj48eOLiop00V2/Aj0RGhCJRFJa\n",
       "WlpaWmplZaWtMOeioqKYmJgTJ04cOHBAb2Wo9MkLAo0PX/IMGk2iCaqrgZxSVEcOaJzkZNi9G8gb\n",
       "KgMDA2/duqWj7hAInYJvPykoKGhubvb19Z0wYYKdnZ2GbXI4nHfeeWfPnj07d+7MyMgw1V0CL3jQ\n",
       "8fkyWoxSyM8/v3BYWFj42Wef6aivmBjYtAnI+Q4HDhzY2dmJYRj6yUQYHY8fP37w4MGgQYN8fX01\n",
       "9z/U19dv3rz5/v37GzdunDRpklYsVJ6Ojo66ujpHR0dnZ2c9dGfcS5yGoq2tzcrKytraWkftm5nB\n",
       "smXyJ/F1QlTLA2F0DB482M/Pz9XVVcN2nj59um3btqtXr/7nP//ZsWOHVmxTEgzDnjx5wufzW1pa\n",
       "zMzMLCwsDCbQGRkZAFBWVpaVlZWeni6XbQ4BAAUFBbrLAd0b48aNu3XrFhJo5UFPGxTB1tZWw4mz\n",
       "UCjcsWPHqVOnPvzww7S0NH1+slKptKqqqra2ViKR2Nraent7u7m56S1ERIFAJycn44/S+L9IoAFg\n",
       "3z6IjAQvr2eHly9f1p0DmgDD4PRpICqiBQcH5+TkvP3227ru12RAzjqDgGEYn8+XSqWvvvqq5q1J\n",
       "JJKsrKwDBw68//77ly9fNjc317xNlRAKhbW1tU5OTu7u7oMGDdJz74p3EvJ4vPDwcLUbxTfXkjH2\n",
       "Lbbr1kFl5fPDa9eu6cH51dQE8+dDRcWzQ3wGretOEQhN6Ojo+OOPPzgcjkQi0bApsVi8devWyZMn\n",
       "u7q6stnspUuX6kedJRIJOeOxg4NDRESEn5+f/tUZFM6gExISGAxGTk5OYmJienq6Go2mpaVxuVzi\n",
       "YZzH4zEYDOOdzlRVQW3t8y0qnZ2dMplMD7GWLi7w5puwYwfgH4KdnV17e7uuO0Ug1EMmk1VWVlZX\n",
       "V9vY2AQFBWkiZxiGHT9+/H//+19MTMz58+f1U+9NJpPhXuanT5+OHDnS09NTD52+FAUCnZmZiedm\n",
       "1CSqn+wqpdPpmszHDQ6bDWPHPk9ip08H9OrVMHkyrF0L+IKEu7s7n8/XejJGBEJDOjo67t69i2cK\n",
       "9fb21mSD9dmzZzdv3jxp0qRTp045KUwepm2EQiGfz6+rq+vu7h4wYMDIkSOpE7SnwMWB7yfUJA6a\n",
       "zWaTq8DxeDw2OYeFsXHtGpD9GXl5eXpwQOOMHw/jx0NW1rPDoKAgVORb/5iey07rNDQ0SKXScePG\n",
       "+fr6qq3OFy5cmDp16vnz548dO7Zlyxb9qHNDQ0NhYSGfzx88ePC4ceMmTpzo6elJnQweCuzIysrS\n",
       "0B2BZz+QO6NJg4Zl6FAYP/75YUFBwapVq/TW+4YNQCThCA4OLigoiImJ0VvvJgBeToU4VGNsm5jL\n",
       "TheMGDFixIgRat9eVFS0YcMGb2/vAwcO6Hn26ujoOHr0aGdnZ2rm7lAg0Jq7I0ys0H1q6vO/xWJx\n",
       "d3e3fpxiOFFRz3cwBgcH79q1S29dmwaaTzjAtFx2WkEmk2EYpvmqXUlJyccff+zp6fnNN99oIvHK\n",
       "gHuZm5ubPTw87P90WVpbWw8bNkyn/WqCAoHGt3oTh6YktZpTWFgYGhpqqN6dnZ2bmpoM1buRormY\n",
       "4i478gzaqF12mtPU1FReXm5vbz927Fi1G6moqFi9ejVevHXMmDFaNK8nZC+zjY0Nlct4y6FAoDVX\n",
       "ZIWea9MQ+kuXLuknSb8cHR3Q1gauruDs7NzY2Kj1KvQmjOYTDuVddo2NjceOHSOfuX//vhHJwUuR\n",
       "SCRcLrehocHe3t7b21vhNQ8fPjx27Jidnd3//d//Kcy50dLSsnXr1uvXr3/66aevv/66Tg1ua2vj\n",
       "crkCgcDMzMzFxQWPZTaiHUyK46A1hMvlklPi4Si8UiqVVrxIW1sbpaR87Vq4cuX54dWrVw0i0GfP\n",
       "wvTpgGEQFBSE8o6qhDLjsG/ICUv7TlsqlUqdXsTa2ppS41kT8PW0xsbGkSNHjh8/XmGkaUlJycKF\n",
       "CwcPHiwSiaZPny4XGCoUCrds2TJ79uywsLALFy7oWp0BQCAQSKVSb2/v8PDwMWPGODk5GZE6g8IZ\n",
       "NIvFmjVrVkJCAgDExsaqEWxHp9Pj4uJYLNZL7+VwOHKh1rdv39ZFxXW1+f57mDr12d8ikUjPDmiC\n",
       "N954licaD+SYMWOG/m0wUiIiIjTMmot/I8LDw/39/fH1RvKaIRlXV9cFCxaQz+Tm5pJ3PRgvDx8+\n",
       "rKysfGnCo4yMjL179+IuC0tLy2PHjr333nsAIBKJduzYwWQy//3vf1+9elVHKolhWEdHh62tLdG+\n",
       "h4eHh4eHLvrSDwoEGq/htm3btszMTHzDtxrtKrlBfPTo0ZkvZj5evnw5dQZ0VRU0NDzfosJms/Wf\n",
       "PQvHxgb+/W/YvBlOnQr+WS6xHqJPNHdxpKWlYRiWkZFx+PBh/HbNRd/owKMdXrqe1traSvjfXFxc\n",
       "Ghoauru79+7d+/333//973+/cuWKjiLYRCIR7mWWSCQhISHEGqCxoxMXh8lw/Tr4+T3fonL+/Plp\n",
       "06YZypiEBKipgZKS4Y8fPzaUDcaI5i4OHB8fn7i4OC0aZlw4OTkpE+0wf/781atXCwSCBw8e7Ny5\n",
       "EwCioqIA4MqVKwkJCVpXZ5lMVl9ff+vWrYKCgurqagcHh4CAAJNRZ1A4gyaWRLKysrQVv2ykM46C\n",
       "AiDvGWSz2evXrzeUMfb2sGkT1NSAg4NDa2urg4ODoSzph/B4vOjo6P5TMUsmk1VXV9va2g4ZMkSl\n",
       "G995553u7u5FixY1NzcLhUKhUJiTk6N5ev7euH//fn19vY2NzciRI4cNG6a7DMCGQoFA6yKK2RjV\n",
       "GQBmzAAiXKKlpcXW1tawI+Af/wAAePRoXHFx8VTCNY7oEzl3pxpjOzs7m7wzhUajcblc7RhHSQQC\n",
       "QXl5uVAo7C1Oo288PT1FItHkyZNXrVql63AjT09Pd3d3R0dH41r6Ux6q7GikJjNnPv/74sWLFNFE\n",
       "vIAsRYyhPmRFTkxMVKMFOp1ObsRkojJ60tXVxePx6urqbG1tg4ODHR0dVbr99u3bn3zyiaen5759\n",
       "+7SSa5RMZ2dnbW1te3u7n58fsUHGICv2+kTeBx0REUEkHFC7wqZJ5i7Izc2lSOxEQEBIfn7ly69D\n",
       "9IC85xshh0AgKCoqqq+v9/DwCAkJUUmdKyoqFi5cuGXLli+//DIzM1OL6oxhWFNTU0lJSUFBQVVV\n",
       "FQCYmfWjlbMXZtARERGpqakgRd3XAAAgAElEQVSEo43FYqnnOzbJ3AUlJSUBAQGGtgIAoLbWg8Va\n",
       "I5GAlZWhTTEGyA+/ePAoQiHV1dVmZmZBQUEqSXNdXd369esfPny4ceNGrWd5rK2tffjwYWdnp7W1\n",
       "taenp5ubm42NjXa7oDjyLg7yMkh0dHRaWpp67ZpA7oLFi2HOHFi4EADgwYMH3t7eFPFzTZwIlpZd\n",
       "27d3rlnTvwarehj7zEBv4MHLyg9ygUCwZcsWNpu9bt06HW05EQgE9vb2Pj4+gwcPpsi3T8/o5GHB\n",
       "BNKNYhicOQNE4uWcnJyZZIe0QTE3h9jYC5s3W9bVGdoUY4DsqVPba2eSSKVS8p4DhemFu7u7Kysr\n",
       "hUIh+aRIJNq6devMmTPHjx+fl5enLXUWi8VyHY0aNcrf39/Z2bl/qjPICTQe0k9GPWHFA/WIRvD6\n",
       "LFoyWE9UVIBA8DzL6O+///7GG28Y1KIXWLDAZfjwGnUfb/oLeGZz8qg2tEUUgs/ns9nsysq+FjNu\n",
       "374dHh6+adOmadOm/fDDDwAgk8kOHjwYFRVlZWV18eLFBQsWaP6uYhjW3Nx8586da9euoXTncrzg\n",
       "4tDWw6AJpBvNz4egIMB3tAqFQrFYTKn8RCEhIV5e28zMvjS0IZQGrw1kpDH4uqOjo6O8vPzp06dO\n",
       "Tk59J19OSUk5fvz48OHDpVLp1KlTra2td+3aNW3atNzcXK1sBpFIJHV1dXw+XyQSWVlZvfLKK9Qp\n",
       "ZUIRUJidYm7cAMJtfu7cOT1kdVEJNze39vbrO3YY2g5jAKkzAZ6b7PHjx1ZWVmPHjn3pnEMikeCK\n",
       "eezYsYqKivz8fBaLpcVdJzdu3JBIJIMGDfLy8hoyZEi/Cs9QEiTQilmx4vkO71OnTiUnJxvUHAUM\n",
       "Gzasvr7e1dXV0IZQHc2Tf5kMZWVljY2Nrq6udDrdSokYIEdHxx9//PGHH34IDg4ePnz4559/rt09\n",
       "gf7+/hYWFiYfy6wJ6CdLMaNHA54DSyaTlZWV6TqhuBqEhYUVFhYCwI0b8OLKCuIF8ORfAJCZmTlr\n",
       "1ixDm2NIhg4dGhgY6Ofnp4w637x5s7W1dc2aNWKxGA/V0CS7gEAguH//Pjl2AAAcHR2ROvcNmkG/\n",
       "BDabTc0YwbCwsNzc3Dlz5qSlgasroB0YiJei5PMWh8NZu3YtAGRmZo4aNUqTHru6uurr6/l8vlAo\n",
       "tLS09PT01KS1fggSaAXweODmBvhP+/Hjx+Uy/FKE8ePH41Hq6ekQGAgLF4LhEu1RGl0k/zIKurq6\n",
       "qqqqhgwZovzGk8rKyg0bNnR1daWmpmpSzgoAMAwrLy+vr6+XyWSDBg3y8/NDXmY1QAKtgLg42LgR\n",
       "5swBDMOuXbu2fft2Q1ukADs7u87Ozu7ubi8vi02bYNkyuHMHdJY1zIgxgZgiNairq+PxeFKpdPDg\n",
       "wcpcX19fv27dOlygtfLIKJPJRCKRu7u7u7s78mOoDfpBk0cggJISCAoCAMjPz58wYQJl42eDgoJK\n",
       "SkoAYOVKcHODjRsNbRCCAgiFwps3b967d8/e3j40NPSlAi0QCFavXr1gwYIFCxbk5uaqrc5CoVAi\n",
       "kRCH5ubmQUFBDAYDqbMmIIGW58oV8PJ6tkL4yy+/vPPOO4a2qFcmTZp09epVADAzg5Mn4b33DG0Q\n",
       "xcjIyCDn6sITgRnaKN3y+PHjoqIioVDo4+MTEBAwYMCAPi7u6uratWvXG2+84ePjo3aFQKlUWltb\n",
       "W1xcXFhYyOFw1DUcoRgk0PKcOwfTpwMASCSSmzdvaj3/ixb5y1/+QgT5OjuDZj5DEyQ5ORnDMC6X\n",
       "m5aWRqPRsrOzTd7XUVNT4+zsHBoaOnz48D5+jWQy2f79+1977bWurq68vLz4+Hg1ap10dHRwuVw2\n",
       "m33//n2pVMpgMDRcUUT0BPmg5SkrAzxp8MmTJ2fPnk3lOdcrr7xSU1NjaCuoC/60TqfT2Wy2yUsz\n",
       "TlhYWN8XSKXS77//fu/evfHx8ZcvX1Ym3k4hQqGwsLDQzMzMxcVl+PDhgwYNUq8dRN8ggZaHyQT8\n",
       "uXD//v3ffPONoc15CQwGo7y83NfXlzizYgV4eMCaNQY0inJQM1BSK3R0dAwYMEDJacSvv/6anp7+\n",
       "5ptvnjt3TsMtJ7a2toGBgXZ2dmpLPEIZkEDLg+ffqK6ulkql1C/YHhkZmZeXRxbof/4TIiJg7FiY\n",
       "M8eAdlECcj1v4g+TmUqLxWIul/vkyZOAgABnZ+e+L7548eKmTZtCQ0N/++23l14sB54yv66uzsXF\n",
       "hagbS6PRlIwPQWiCgQWaz+efOnWKfOb+/ftUSJiya9eu999/39BWvJypU6d+8skn5Dz0Y8bAvn3w\n",
       "3nuQnw9+fgY0zfCYjBbLgWHY48ePKyoqAIBOp/ctlMXFxampqa+++uqPP/6o6oRDLBbX1tby+Xyx\n",
       "WGxlZaVMVW+EdjGwQFtZWTk5OZHPWFtbGzCaPT0dkpKgs1OUl5f3+eefG8oM5fH09KyursYwjPyQ\n",
       "+9ZbcOMGxMTArVugYlU5BNUhKroOGzbM29u7Dw8Dh8NZt26djY1Neno6+RlLGSQSCYfDaWxsxDDM\n",
       "ycmJwWC4uLhQeT3GVDGwQLu4uMjt08vNzSUnEdcnJSWwbh2sWAF79+5dunSpsQzHcePG3bp1KwiP\n",
       "3P6TzZvB2xv+LK2JMBG6urpu3bplYWExZsyYoUOH9nZZZWXlJ598YmZmlpqa6u/vr0ZHnZ2dIpHI\n",
       "w8Nj+PDhfcfqIXQK8kE/58QJmDEDMEx84MCBixcvGtocZZk5c+aZM2fkBJpGg7//3VAWIXSFpaWl\n",
       "v7+/o6Njb1FxRIXADRs2TJo06aUNymQyJpPJ5XJDQ0OnTJlCPLw6ODhMmDBBm6Yj1ALFQT8nJwdm\n",
       "zoTvv/9+8eLFRlSbcurUqefOnevjgidPoKtLb+YgdIuzs7NCdX769Onq1avj4uIWLFhw5swZDMPm\n",
       "z58/a9asb7/9FvfFHz16dM6cOXPmzPntt9+IuxYvXpyXl2djY/PZZ5+pXYAUoTuQQD+joQFu3IDJ\n",
       "k9t//vnn5cuXG9ocFbCzs7O2tm5oaOjtgmXLYMECEIv1aZRJQVQy1HPpLJlM9vDhw2vXrpG3UPdE\n",
       "IpHs2rVr5syZFhYWK1eu9Pf3r6io+M9//vPll1/++uuvd+7c2bdv34ULF3766afs7Ox9+/bt2bPn\n",
       "6tWrQqHw8uXLtbW1sbGxkyZNys7OxvdbIigFEuhnSCSwbBns3r32o48+MrrQztjYWLlgGDJ790JV\n",
       "FcybBx0d+jTK1EhMTORyuRiGYRimh+KzLS0tN27cqKysdHR0tLS0VHiNTCb76aefJk+e3NXV5ePj\n",
       "IxAI6uvr4+Lidu3alZCQ4OnpOXDgwM2bNzOZzN9++y01NXXw4MEuLi5r1qw5dOhQYWFhVVWVi4tL\n",
       "UFBQaGjoq6++2lsvCAOCBPoZHh7wt79df/To0dy5cw1ti8rExsYymcze/tfZGS5eBIEAoqKgqUmf\n",
       "diHUobOzs6Sk5NatWzQaLTg42M/PT27O3tjYWFRUdODAAV9f33Xr1tFotD/++MPS0vLrr7/+17/+\n",
       "dfz48TNnztT9WfKdz+c7Ojo6OjoSZ2pra11cXHx9fePi4hoaGgoLCxsaGnbu3KneciJCp6BFwme0\n",
       "tbWlpKQcOnTI0Iaow5AhQwCgoaGht5X9QYMgNxeWLAEmEy0eqgybzU5MTPTTS1R5R0dHcXGxTCbz\n",
       "8vJ69dVXiVW7x48fZ2dni8VimUx24sSJpqYmmUzm6+t79uxZCwuLv/3tb4SPy9nZ2dHR8dSpUxiG\n",
       "ubi4ZGVlffHFFzKZLCUlpbq6WiaT/fjjj0wmE0/ef+TIka1bt2ZkZERFRaWnp+vhBSJUAs2gAQBk\n",
       "Mtlf//rXDRs2UGGPjHosXLjwwIEDfVxgawu//orUWR0wDIuNjU1OTt62bRsA4HmXeru45UXEKvr+\n",
       "aTTa0KFDQ0NDR4wYQagz7in28vLq7u7esmVLaGjo7du3ly9f3tjYaGlpSaPRPvnkk2vXrlVXVwNA\n",
       "VlZWaGjomTNnXnnllZaWlrVr13Z1ddFotN9++23gwIEODg5nz54lSqsMGTJk+/btp0+fTklJMTrP\n",
       "Xn8AzaBBJpN5epbNnbuEaqW7VWLevHlRUVEffvihkktYBQUQGgqowIWSkLP+97FBsaSkJCUlhXzm\n",
       "wYMHU6dOVb6jAQMGkDeVtLW1nThxIicnZ968ednZ2fb29m+88Ya9vb2Li8vo0aOFfxajrKqqiomJ\n",
       "WbFiRUdHR0hIyPr16ysqKtzc3IYOHerg4ODu7j506FBzc/PFixer8JoRFKC/C7RYLJ4/f3Vd3fZ1\n",
       "64zbATdgwIBJkyadP39emZ8ZmQz+8Q+ws4PsbBg5Ug/WGTd4XXAAyMnJwYuCR0REEIleyQQEBJw9\n",
       "e5Z8Jjs7u++NV83NzW1tbQqL9eET5+jo6EuXLp06derkyZNhYWGhoaG4R2vkyJGdnZ1Lly4dOHDg\n",
       "3bt3jxw54uLigt9YU1OD+7uGDx9uT1SnRxgh/Vqgb9269cEHHzg6Zs2bZ977tiyjYeXKlStXrlRG\n",
       "oM3MID8fUlIgIAA2bYKkJDSV7ou0tDQul0un0xMTEwEA12jNEYvFPB6voaFh0KBBcgL93Xffff31\n",
       "1/X19WZmZlevXk1PT9+4ceOhQ4fc3d1tbW3LysqioqIGDx5cXFzc0tLS0dExbtw4cgyGh4eHu7s7\n",
       "KgBoAvRTgW5sbPzss88ePnz47bf7IiO9Dx40tEHawMvLy83N7dKlS5GRkS+92NYWdu+GuXMhMRHu\n",
       "3UNFwV8CnU4HgMzMzMTERLwErSbIZLKqqqpHjx6ZmZn5+vq6ublVVlbu37+/q6vLzs6Ow+HcuHFj\n",
       "xowZhw4dioqK8vDwiIuLE4vFW7duFQqFW7ZsIftMBg4cWFNTk5+fHxgYSE5rg9TZNOh3Al1VVfXF\n",
       "F1/cu3cvJSUlJibm0iUYNAiiogxtlpZIS0ubP3/++fPnra2tlbl+5kwoL4f2dl3bZfTweDxCozUM\n",
       "gu7o6Lh79257e7u9vT2GYevWrSstLS0vL//ss88uXLhw8+ZNV1dXPp9//fr1n3766csvv3zw4EFL\n",
       "S8uJEyd27tw5ZcoUvBGZTPbkyZPq6uq2tjYLCwsPDw/lS3cjjIh+JNA8Hm/r1q18Pn/lypXffPMN\n",
       "vpg2cSJcuABGkhbp5bi6usbHx3/66afKVyKXSFrNzaUtLQAA5eXmTKZVfLx4yBAZAJibmzs4OOjO\n",
       "WmMhOzubwWAQa4P4odqtNTc3d3d337t37+DBgw0NDWZmZpGRke+///7u3bubm5vt7e2lUunbb79d\n",
       "U1MTEBAwceLEnTt3vvvuu++//z6hzk+fPr17965EIhkwYACDwXBzczNHabFMFJ0INLGoQkCsrhgE\n",
       "Pp+/YcOG2traNWvWyGWQsbEByiflV434+Ph//etfX3zxxccff9zzf7u6ui5evMhms4uKigQCgZWV\n",
       "la2tLZGurLPTqagocfv2MZ6eV+h0lpUVRyQSdXZ2DhgwICgoKDo6+rXXXlOjeJ2xQ6fTyZEbcodK\n",
       "gt9Co9Gam5szMjLOnDmTlpZ26NChI0eOhIWFOTk51dbW4kHKBw8elEqlRUVFycnJ5eXlhYWFbm5u\n",
       "5Ka6urrs7e3d3d2dnZ2NJeciQj108mUjFlXwQx6PR56A6JOurq6vv/766NGjaWlpKkU7GTU7duz4\n",
       "9NNP586dm5SUFBgYiGHYo0eP8vPzz5w5IxKJpkyZEhERkZKS0tv6/p07sHXr64cPv/7Pf8JXXwEA\n",
       "dHV1sdns33//PTU1de7cucuWLUPVNJQHw7CkpKTi4uJHjx51dnaKxeIJEybMmzfv0aNHdXV158+f\n",
       "b25u/vnnn0eMGGFjY7No0aIvvviitrY2JCQkJSVl9OjR5ubmra2t9vb2hBYPGTIED+RAmDy6mg0R\n",
       "6oz/bZCicMXFxStXrnz33XcvX77c8xlw924AgH/8Q/926RwzM7MtW7aUl5cfOHDg22+/NTMzc3d3\n",
       "DwkJ+eGHH4hIrD4YOxYOHIBt2wD3ewCApaWlh8eUzz+fIpV2Hz169M0334yJifnwww+NKOefAfnq\n",
       "q6/s7e3j4+Nv377d1NREo9HCw8O3bt26c+fO3bt3p6SkDB48eOzYsXw+f9y4cWFhYefOnfP39z9y\n",
       "5IilpWVtbW1NTY1IJAoKCkKFWfshOhFoNptNLKoAAI/HY7PZuuioN8Ri8aZNmwoKCvbv3+/t7d3z\n",
       "grIyWLUK8vL0aZS+8fX13bRpk9q3u7kB8WDd3Q2RkWBmBm++aTFr1sLTp98+ejT79ddfX7169ezZ\n",
       "s7VjrunS3t6+atWqtWvXrl27ViaT7dmzJz4+XigULlu2zMLCYtSoUQsXLvzLX/4yZswY4haRSFRT\n",
       "U1NbW9vd3W1vb+/n54fUuX+ik1icnJwcBoNB5GZkMBg5OTm66EghxcXF06dPHzZsWG5urkJ1bm2F\n",
       "d9+FDz6AkBC9GWXcWFgAjwfffgtSKXzwAQwdah4eHn/69Gkmk/nXv/6VyMKDUIi5ufn169fj4+P3\n",
       "798vFotbWlqWLl0aEBDg6+t77NixCxcuJCYmktW5oaHh+vXrNTU1Tk5OwcHBISEhxM5sRH9DJzNo\n",
       "8r5YfdLc3Lx+/fra2tpffvnF3d1d4TXd3RAXB+7ugLKTq4S1NURHA77QW1cHQ4aAubnjnj179uy5\n",
       "x2C0+fg0LVo0auJEcz8/QFM9OebPn3/q1Cl7e/vy8nIulztx4sRHjx4tXLhwxowZIxXt47SxsfH0\n",
       "9HRzc0MeJISJRHEIBILvvvvu6NGja9euletajsZGcHeHr75C9frUh1zceenS0c7Osqys25s2FZiZ\n",
       "BWGYLZ8PuLBUV8PNmzBiBHh4gLOzoYw1PMXFxVFRUdeuXcvNzfXy8pJIJOTZg0QiefLkiaurKxEe\n",
       "4+DggKIbEThGH8VRUlKSnZ196dKlDz74IC8v76UZuYYNg717dWFIP8XCAt56y+ytt4I6Ojq++eab\n",
       "Y8dyN2+etHjxYl9fXy4X1qyBykoQicDSEl57Dc6dM52Qc+W5c+dORETE8ePHX3nlFfL59vb26urq\n",
       "hoYGmUxmb2+PRBnREyOL4ujq6mpqauLxePfu3bt27RqHwxk1atSiRYu2bdvWc2/rw4fQ2Ah37sCl\n",
       "S3D9OpSWQv8L4dUftra2H3/88Ycffnj69OmNGzdWVFSMGzdu1aowBoPh7OwLMEQo7I/qDABbtmyJ\n",
       "j48nDjEMa2xsrKmpefr0qbm5+bBhwzw8PAYOHGhACxGUxcBRHGVlZUlJSeQz5eXlkZGR3d3dxJnT\n",
       "p9vj4sww7Jn+WljYrFhxNTBw+EcffcTnM955x+LYsWdX2trC7dvd+JbX/HxaZKS5iwv4+2Pjx2N7\n",
       "92IAGKlVhE6g0WizZ8+ePXu2VCrlcDhFRUWnT59+9Gh3a2tra2urnZ2dhYXFwYMHyQ86Jr8LTm4v\n",
       "yePHj7lcrrW19ciRI93d3VGhKUQf6ESg8SgOuTMKr/Tz81OYnpG8XW3GjEFkeTczg6Cg1fjfI0bA\n",
       "778//y87O3B2fnbjlCnwp0+FBtAvZ24GxcLCYuzYsWPHjn3plVKpVA/2UAcXFxcbGxu0CRChDEYQ\n",
       "xTFgAIwfr/J/IRDUxMbGBoVnIJRETzkJ9VAFGYFAIEwMPa2aKSw/0RtFRUV2dna6M4bM+fPnbW1t\n",
       "9dOXSjQ2NiqzLVv/CASCmTNnarHB0tLS4OBgLTZINZQcz01NTcXFxRoWQFF12MhksqdPn6qUWUUs\n",
       "FuN5q1W37jkmbGdJSYkWxzPlwhqmTZuG77bST3cnT56MomQ26LNnz06fPt3QVijg/PnzoaGhWvSf\n",
       "RkZGGiRVi35QfjzfvHmzuLiYvKVQVTAMO3funErDprW19d69e2FhYcrfUlNT09raqkmNc5lMdvHi\n",
       "xWnTpil/i0AgKC8vDw0NVf6W6upqoVA4atQo1Q18hlQqzcvLU0kfnj592t7ers3xjOmAnkuCOTk5\n",
       "uuhIcyIjIw1tgmIoa1hUVJRUKjW0FSZITk7Of//7X01akMlkU6dOVemW+/fvJyYmqnTLyZMnt23b\n",
       "ptItckgkkunTp6t0y927d1esWKHSLcePH//qq69UukUOkUg0c+ZMlW4pKSlZuXKlJp3KYfQbVRAI\n",
       "BMJU0dUiIRXSjSIQCIRRoxOBxjeqEIf6TzeKQCAQJoCBN6ogEAgEojdo/dw1XFxcPJ6Se12QYf2N\n",
       "5uZmgUDg5eWlSSOqfjpisZjL5fr7+yt/S1NTU1tb24gRI1Q2joSqdnZ2dj548EClEJfGxkahUOjp\n",
       "6am6dc/AMOyPP/5QKWZOJBJVVlZqEuIiR38XaAQCgaAsetpJiEAgEAhVQQKNQCAQFAUJNAKBQFAU\n",
       "JNAIBAJBUZBAIxAIBEVBAo1AIBAUBQk0AoFAUJR+J9ARERE0Go1GoxE1BBITE/Ez5O3pVLPNsOYR\n",
       "ZrBYLLkzBn/TTIOeH72q6HSoaP6t6WmeFoeQMuZpd8SS0+0q05favfcvgWaxWP7+/ngeP39/fxaL\n",
       "xWKxSktLMQzLyclZsmQJpWwDgNLSUi6Xi58k55/Ss2HwZ1raWbNm4Wco8qaZBgo/elXR3VDRyrdG\n",
       "zjwtDiFlzNNud2R1VqYvTXrvvzsJMzIyfHx8OBwOAOCVxWk0qrwbuG3R0dERERF4nqmEhITMzExD\n",
       "2/XsLcrIyADqvWmmAfHRq3qjfoaK2t8aOfN0NIR6M0+L3WVkZCQlJUVEROBVonq2rMwZ5bvrXzNo\n",
       "AhaLVVZWhn8NfHx88JMUyYlK2MZisdhsNj418PPzU29ipS3wZ7T09HT8kGpvmmlAHpaq3qiHoaL2\n",
       "t0aheVofQn2bp63ucJ0lo0xfavfeHwU6MTGRyWQSswz89xYAqJATlWwbuTg6MS8wFJmZmbgx+HSA\n",
       "Um+aaSA3LFVCD0NFk2+NQvO0O4Reap7uRqwyfande78T6IiIiNjYWOKD9PHxOXz4MACwWCyDTwbl\n",
       "bGOxWLgaAgCHwyF+hPUM2QwcSr1ppoHcR68quh4qGn5repqn3SH0UvN0N2KV6Uuj3tWrlGWkJCQk\n",
       "kF97eno6+SSxiEFB2/BDg9uWkJAgd8awb5ppoPCjV7sRrQ8VrXxrepqnrSGkpHnaHbHh4eE9Deij\n",
       "L7V7Rys8CAQCQVH6nYsDgUAgjAUk0AgEAkFRkEAjEAgERUECjUAgEBQFCTQCgUBQFCTQCAQCQVGQ\n",
       "QCMQCARFQQKNQCAQFAUJNAKBQFAUJNAIBAJBUZBAIxAIBEVBAo1AIBAUBQk0AoFAUBQk0AgEAkFR\n",
       "kEAjEAgERTF6gebxeHIl0JUvyEbUQidu6Vm/ve9+CeRqjihvQB9l2MmvS+56vDsej5eYmKhevwqL\n",
       "wGdkZPR8UT0vJt4l4lUr/74hdITcgOxjYKg3VhX2oszH3XMY96TnF4HH42lipxw9qwIZC0Yv0AAQ\n",
       "Hh6uhk7hooyXLZg1axYoqt/+0n6JwgeHDx/uQ2rVo49aCngFHfXoowh8UlISuU5EUlJSz4szMjKI\n",
       "d6msrAyvcq/S+4bQEUS9GwzDSktLexuQmgweeHHYx8XFvVT41CsJsmTJkp7lWdUmOjpaw1dtKExB\n",
       "oP39/XurZKxwSogTHR0tVwKOfMbPz09VG+h0OpDmm/hvBo/H6zm7JK7BD4nzxCwVP0NcIHd9YmIi\n",
       "m80mfpMUzmX6eOEcDicuLg5/vb2VsExMTPzoo48AgMFgkF9jzzeHw+Fo8r4hdA0xeIjnIXzwkB+/\n",
       "8MOMjAx8rCoctCr1QjQFioYxuV/ywCbg8Xj4YCMeiAlr5Trq2SzRNYvFws/jLcTFxRnj1MEUBBoA\n",
       "kpKS8Flwz/PkAl89f5PxTzc9PZ18kly/vQ/YbDahgFlZWQCAy2vPKQx+Br+APHPH78KHDl5Qksvl\n",
       "slgsXEAJY+Suz8zMDA8PxzUxKyuL3LiSL7zvIvB4j/jvDZ1OT01NpdFoaWlpeI9JSUmHDx9W+L1S\n",
       "8n1D6IisrCxiQOIzBvLgAQAWi0UePD3Bn4TwvxWOK3hx2B8+fBh/zJLrRa4peHEY44c9BzYBl8vF\n",
       "f+k/+ugjJpMJAKdPn46Nje3ZiMJvHN41k8nECwDik4yYmBi8KePCRAQaAHJycno6OvqYSOJkZmbi\n",
       "Hzb5B5lcv70P5ApHslgsOp3u5+eH90VMTomJJ/4Hh8OJjY3Fz+ClJPGhw+FwUlNTmUwmk8mMiYkh\n",
       "eul5PRniDNGLMi+87yLwTCYTnz7j7TCZTAzDsrOzCUXOz8/HXzV5vqz8+4bQEYSLg5BgDodDqHZy\n",
       "cjLxufcG8YHKDVoy5GGfn5/fWy9yz1LkYRwbG8vhcPoY2ERhcjqdXlpaCgDJycnR0dE9O1L4jSPE\n",
       "ncFg0Gi006dPq/AmUgzTEWh84ib3U9zHRFLhuoFc/XZVwRskviQKr/Hx8SF+yfHBh49C8twTn732\n",
       "dr0y9PHCX1oEvrS0lGwAPtyJMywWi/ghTE5Oxn9LNHzfENolNTUV/4x8fHzIRb7lHqSI4ST3rVGV\n",
       "vnshriGGMZPJ9PHx6WNg+/j4EL8lcXFxiYmJ+DNuz476+MbR6XQMw7hcLj7auVyuJq/RUJiOQAOA\n",
       "SgIRHR1dVlaG//aWlZUlJSXh7rlZs2b1Nt2Wg/yshzcYExOTnJxMPGMqHBO4Csu5CMg+Dbmph8Lr\n",
       "2Wy22vES0dHR/v7+NBpt1qxZ2dnZ+EmiNcL9h0N2aOTk5MjZk5OTQ6fTVX3fELoG/4wyMjLIg5zw\n",
       "xuKDB//Fxc/3fDJTtbuevSg0ifxlUTiwcRgMRllZGf53UlJSVlYWPg/o2VEf3zjce8lgMFJTU+HF\n",
       "KbwRQcPUWmNFIBAI3REREYH7T3g83pIlS/C/tdKgcWFhaAMQCARCnuzsbPxRLDk5WXPvhNzCuxGB\n",
       "ZtAIBAJBUUzKB41AIBCmBBJoBAKBoChIoBEIBIKiIIFGIBAIioIEGoFAICgKEmgEAoGgKEigEQgE\n",
       "gqIggUYgEAiKggQagSQC20oAAAAnSURBVEAgKAoSaAQCgaAoSKARCASCoiCBRiAQCIqCBBqBQCAo\n",
       "yv8DkR7Hs9BAMGkAAAAASUVORK5CYII=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tipo de ajuste:  Gumbel\n",
      "método de ajuste:  GMLE\n",
      "[ 22.90587606   1.81445179]\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nOzdeVgT19oA8BP2RUFc\n",
       "AEFFZDUgqLXqBfdaFawttIqtn1ttTVrrLbTW6m1pqy0urbc1ubdb4la0Wne5rSZURXHDFnGHgEkA\n",
       "RUBABQTZSeb749TpmISQbZIhvL+nT58wmTlzIOObM2fOeQ+LIAgEAACAeWwsXQEAAACaQYAGAACG\n",
       "ggANAAAMBQEaAAAYCgI0AAAwFARoAABgMB6PJ5PJDHiLIAiCIPAO+HVUVNTWrVvJH0eOHIkQEolE\n",
       "5FFRUVE8Hi85ORn/2LNnT5Vi/f39Df5FRo8ebfCxAAArY2OjdwPU3t7e1dXV29sb/zhgwACVHWQy\n",
       "WVhYGH796quvIoS4XO7Jkyc7KpCMdQihqKgoHCSpO6SmpqofFRQU9NevgBBKTEwMDAzsKBCT1UII\n",
       "UcNxYmKilv2pYmNj8S9AEMS9e/fOnDlDvlVfX49fLFu2DL8oLi4ma4Jf4IhP3YLjft++fRFC06ZN\n",
       "I/+fnZ2tcmoPD49Oq9evX7+AgADyR3d3dx1/LwAAk7FYLH0PGTp0qLu7O54dEhER0bt378DAQISQ\n",
       "q6sr3uHYsWNkI3Lv3r34hZ+fH7UQkUhEhuyUlBRye0JCQnR0dHJyspeX10svvYQQiomJ2bhxIw70\n",
       "OIhFRET06dNnypQpERERERER+tYfAACAeTk7O2vfwdPTU+N28jvK1taWur1fv356VcCAmxEAAGA4\n",
       "A1rxhtDYUaIFzCAHAAADmKOXVXuPNgAAAI1CQ0NVN3E4HI27uri44BcrVqzQ6xwqTyoBAKD70DKu\n",
       "AxnQo9ujRw/tBb3xxhsad7C3t8cvVPqghw4dquV06m146IMGAAAAAABdikwmw2Oc8VBqw1DHL1O3\n",
       "I4ROnjypUjI+ly5nVClT44HUHTgcjvrZ8f/JEoYOHUrugPfHlU9OTsYDy/FQa3J0tq2t7ciRI728\n",
       "vKiFk69lMtnIkSPx8PW+fftGRUWlpqayWKyRT5AFIoTCwsK8vLyoffQymYzsSkJPHvuGhYVNnjwZ\n",
       "b8EjvlXExMQghHr27Dl48GAtnywM6wYmRMeYBOrNN7V8lXORI5ERQg4ODuRr/C8rPj4ejxp2cHCw\n",
       "tbXFg4hxiMCjjJctW+bl5TV06NCAgAAWixUfH8/j8XA5I0eOjI+P9/LyIggCn6VPnz7+/v7x8fE4\n",
       "1AwePDgiIiI+Ph5v4fF4KlGLw+HweDxyWl9HoQzv02m4w6EMn+6vp3lkdNOlCBXU7maV0qinVC+Z\n",
       "R6G9xiplqh+oflKVs+NPCB+rXhqhNr2HhOO1p6cn/sjj4+O1HDht2jS8D4/H8/Hx8fHx+euv/GQU\n",
       "Oi4wIiICVwOPbtTwTOBJaRq3U+FLTWVLp0cBwEyGXb0DBw50dXXFkdrW1tbJycnV1VVllnJYWBiP\n",
       "x8NB3NbWFkdYHx8fhJC3tzd1ZxcXF39/f9w4w3NSnJ2dcUsrKioqOTkZx2hqkKFOOOwoEOnY/MUl\n",
       "nDx5smfPnjKZjEXAeDgAAGAkeDQHAAAMBQEaAAAYCgI0AAAwFARoAABgKAjQAADAUBCgAQCAoSBA\n",
       "AwAAQ0GABgAAhoIADQAADAUBGgAAGAoCNAAAMBQEaAAAYCgI0AAAwFAQoAEAgKEgQAMAAENBgAYA\n",
       "AIaCAA0AAAwFARoAABgKAjQAADAUBGgAAGAoCNAAAMBQEKABAIChIEADAABDQYAGAACGggANAAAM\n",
       "BQEaAAAYCgI0AAAwFARoAABgKAjQAADAUBCgAQCAoSBAAwAAQ0GABlaOy+WyKCxdHQD0AAEaWDmh\n",
       "UEgQRFRUFEEQHA7H0tUBQA8QoEE3kpuba+kqAKAHCNDAyvF4PC6Xm5CQwGKxwsPDLV0dAPTAIgjC\n",
       "0nUAAACgAbSggZWLjo7W+BoA5oMADawWHr+RlZUFQzhAFwVdHMDKRUdHX7hwwdK1AMAQEKABAICh\n",
       "oIsDWDmYqAK6LgjQwMrBRBXQdUGABt0ITFQBXQsEaGDlYKIK6LrgISEAADAUtKABAIChIEADaxYd\n",
       "HU2O34BphKDLgQANrFZ0dHRycjLxRHJyMsRo0LVAgAbWLCYmRuNrALoECNAAAMBQtARosVjMeppY\n",
       "LKbjRABoQU2ThGVlZVm6UgDogZZhdtHR0ampqYGBgfhHuVweFBQE4/kAAEAvdHVxkNEZv46KiqLp\n",
       "RAAAYK1oaUGzWCyZTGZYC7qwsHDLli0mrxJgLBsbm8TERC8vL0tXhBZwPVsHFgt52NTWKNwJ1Em+\n",
       "LdNez3YmKUWFSCQKCgpS2aJxz0ePHh0/fpy65fjx4ywWKyEhgY6KAQbau3fvtWvXpk+fbumK0OL8\n",
       "+fMKhcJaf7tugkUo2CWb6nqw7/Z5vtOdTXs90xKgY2JidGwv19bWFhUVUbfcuHHDz89v6tSpdFQM\n",
       "WNbDhw9v3Ljh4eExfPhwcuOlS5csWCUzYLPZcD13bRc/R8Nf6P9MUogO+5r2eqYlQIvF4tjY2Kio\n",
       "qPDwcKFQiBCi9nhQ+fn5rVq1irpFLpcrlUo6agUsKycnJykpadq0aSUlJQRBbNu2je4zasz+DA+r\n",
       "gd7+8anGzVKpdMeOHf7+/m+++aaNDS3P82gJ0CkpKQRB8Pn8/fv3438PsOwQWLt27b59+3x9fRFC\n",
       "b731VnZ29ujRo2k9o/q1BzMJgR6U7Uh6AIW+pvFNhUIREvJXk5ogCC6XS0cVaJyoEhwcDF3JgFRX\n",
       "V+fj44NfBwcHl5eXm+e81LHPMA4a6ErRikT/h9oaO3q/rq6OfJ2Xl0dTLegK0HK5PCYmJjExkaby\n",
       "QZczZsyYrVu3IoSqqqrS0tLGjh2LEGpsbDx16lRVVRV95xWJRORElY4eVgOg6thrKOBFNOyNjt73\n",
       "8PBYsmQJfr1o0SKaakFLF0dqaip1XB0edUfHiUAX8vnnn69atWry5Ml2dnZffPGFt7f34cOHN27c\n",
       "OGjQoH79+tF3Xt0fWQPwt0mbkdsg7bts27YtJSXFw8PDycmJplrQEqADAwOp/yTgnwdACDk5OfH5\n",
       "fPz6+vXrzz//fHR0dGZmJp/Ph7VcAVO01qH6u6hPWKfRGevfvz+t1aElQAPQkQcPHrz//vvV1dXf\n",
       "f/+9ymB5muAxRXi52Li4uG6S047F6nAOmsa3yI1aDrR+LY/Qry93NGbDIiCbHTAThULB5/NnzJgx\n",
       "Z86co0ePmic6I4RiY2NxD5tAIIiNjTXPSS0IpyrT9y1S943OrXXof/FobDIaMNHSVfkbBGhgDhcv\n",
       "Xpw4cWJNTc25c+dmzZpl6epYM6lUShCExuw3Wt4i4Qgul8vJxWjIsYlcLhdvIbuqrEpbI5r4FRo4\n",
       "2dL1eAp0cQB6VVVVrVy5ksVi7d27d8CAAeavAJl4QCgUMmsUR/UtlLcDIYQQC0W+hdz8dNrSGS1D\n",
       "p/QdVUUOJJfL5fguBG/h8/lisdh6Oota65GtI3L1Rq7eeh2nUChwoiGaZqkgaEED+rS3t/P5/Pj4\n",
       "+IULF/70008Wic7oySgOjFkxpYcPCp6Dgueg4NnIuZ+uW/SEm70GTKMIDw+nvpBKpUKhELegk5KS\n",
       "pFKpAZVhovq76NAM1KD3qPzm5ubr16/369ePvuiMIEADmpw7d27y5MkIoczMzOeee86CNaHOHjRs\n",
       "JiHuuuVyuXjACYvFksvlJqiZQ0/k9cxf/9m76LpFTwKBgCAIgUBgZGWDg4N5PB75VWclUxweFaGj\n",
       "c9E0IXIbrNdxdXV1eXl5ISEhvXv3pqdmf4EADUzs7t27L7744pYtW/bt25eYmGhvb2+pmuDGI3Vd\n",
       "FcPKwakL2Gy2RCLB4Ym+iQmMFRMTI5FIrG2NpOpbaMZPqE+YXgdVVlYWFhYOGzbM1dWVpnqRoA8a\n",
       "mExLS8uGDRt+//33jRs3Tpxo+UfhAoFAIBCYKg9McHCw8YWYjZZfWeNb5OAN/CIwMJBsdFNfGN8S\n",
       "ZxZ/vbu8iouLm5qaIiMjae3ZIEELGphGenr6+PHjPTw8zp07x4ToTDJVli6pVCqRSExSFLCw6nx0\n",
       "RO+hREqlEl8AbDbbPNEZ0ZpulMPhsNnspKQk1HG6UWAFbt++nZSU5OfnJxaL+/TpY+nqqOJyuTjn\n",
       "LWbAON/k5GQWi4WvZ9xP0lHqAolEotI5K5PJJk6c+Prrr+t7UkCXe3+gsx+iF/brdVBbW1teXp6P\n",
       "j4+npydN9dJIQ4DGgxwlEolQKOTxeAY8DSDTjeI+OwTpRru+qqqq8+fPe3t7U0fRNjc3b9y48ezZ\n",
       "s1999dWoUaMsWD0thEIhQRD4CjQsJyQ1m4f2fw5sNvvEiRPULUuXLoX85swiPYhm7tVrRF1jY2NB\n",
       "QUFAQIC7uzt99dJIQ0M9KSkpMTERX9a4/WuY4OBgNpttRN0AU1y8ePHFF1+8e/furl275s+fj6PV\n",
       "b7/9Nnny5CFDhpw8eZKx0VlFbm6uAUfhURzUJ2OQV7oLm/hv1MNH991ramoKCgqGDh1q/uiMOuri\n",
       "kMvlxq/DDX12VuOLL7743//+h9fBfOuttw4cOLB9+/aQkBCRSOTh4WHp2nWCx+NxudyEhATcTWFA\n",
       "CSkpKbiPDjfAmTWY2uw6StZRWlrav39/W1tb7UdZLNdHySl0/xp65n29DiorK6uuro6MjOzo96Kb\n",
       "hgDN4XCCgoJEIhGXy+XxeAYUqnufHUKopqaG+mNLS4sFB2YBjerr63HXW319fV5e3oULF3bu3Dli\n",
       "xAhL10snZKeEMUN38RMUgUDA5XLNlkWEmToKr3V1df369es0kFkmOhf+iq79gF48pPsRBEHI5XKC\n",
       "IMLDwy2YbVFDFwce2R4TEyMQCAy7pnGfHT4cjxvt6AmhRCLhPu38+fPV1dUGnBTQJzo6WigU7ty5\n",
       "Mzo6uqqqKiMjo0tEZ5YmhhVFzkwRCARMHgTN5/NxDg2kKXUGmV6Dy+XK5XItO1N7dVR6eMi/IXkI\n",
       "vrEoKSmZNGmSSvoOdRbI9dFYha7/iGbt032mj0KhyMvLc3Z2Dg4OtmwuXA0taOPTM+ISEEIikQgf\n",
       "3tFDQjabvX//U49T4aEKA82ZM2f27NlNTU2BgYFff/21mR9kG8xUjTWVBSjwj8YX29DQUFpaqu9R\n",
       "LBZr8ODBDg4OHe0QHh5+4cIFHEypqTOkUmlCQgL+Z8hisVauXKll57S0NNyrI5fLN23aRL4mz0I9\n",
       "hMvlisVie3t7svsCp+/odOCWmXJ9uHiil/XIwdLS0iKRSPz8/OieJagLDQEap2fctGmTQCAwrMMI\n",
       "+uysRl1d3SeffFJYWJienk4ukdndqCxAofKjwZydnQcN0ikrvArtfYD4yTxOnUGOL+TxeBKJJC4u\n",
       "Dv9I9sV3tPPKlSvxl5DKa/KWWiqVkqXFxcVJpdKZM2cOGzYMbyHzeGihMdcHtQ4miBuyI8jdH3kO\n",
       "1/2I+vp6mUwWEhJihlmCuqBruDXZZ5eWlmaaxAXAvAiC2Llz57Rp06ZOnXr06NGuG51N0sVBBxsb\n",
       "G2eD6PJbqKfOYLPZZIYj6sBwjTvjLyGZTLZ//37qa+ohaWlp+HVaWprx0yxNn+vj6n+RPA31G6b7\n",
       "EQ8ePCgsLAwPD2dIdEYaAzROz4gzVxmcnrGr9NkBjbKzsydMmFBUVHTq1Kmunr6ZoDBsFEdXpJ46\n",
       "IzExcf/+/fhHlb+D+s64OzgoKCg5OZn6mnoIevLlh3+sqKgw5sbCxLk+Cn9F5RfR9K2Ipevoi5KS\n",
       "kqqqqoiICC3dR+ZHy5AXnCOVLFnlR+1wH/S2bdtMXiugC7wkVU1NzebNm80z+XPDhg0jR46cPn26\n",
       "Gc5l/jFezLme8ZM33DKl4+8gkUgCAgIcHR1NW6yBFK3Ixg6xdOohIAhCKpU6ODj4+/sbf2bTXs9P\n",
       "/QKmeupNU58doBV1SarffvvNaqbmUy/m7tOCVkdtQRs2fLZrKBYjQoFsHXSMzu3t7bm5uR4eHiaJ\n",
       "zib31ENCCKPdVlZW1urVq2fOnHnu3DlnZ2dLV8eU4Kom0Zpuwd7e3mwphDp06StUI9M9R11zc3NB\n",
       "QYG/v79FZgnq4qkAjQfDqbSa4fq2bpWVlR9++CGLxdqzZ4+lFj2hlfHJkoAuLD9/588NqOEemibs\n",
       "fE+EEEK1tbXFxcWhoaFMbpE8FaDxFyxcwd1Ee3v7d999t3///i+++GLKlCmWrg5dcFYZS9cC0C9g\n",
       "Furb+fA+7MGDB2VlZeHh4Qyft6zhlsT4JYIA8504cQKnW8nMzLTi6IwoY367CXKGHjkfj5yhx3qy\n",
       "WBd1pASe1Gf8eUtLSzkcDj6F+rMrPHfR+LNQyeVyLpeLEIGq8xFCukdnPGBj2LBhy5cvZ/gg4KcC\n",
       "tKmWCAJMVlJS8uKLL+7atSstLc2yS1KZDTPHQdOBz+eHh4fjMYUSiQSH4NzcXJlMRiZdEIvFPB5P\n",
       "JpOlpKQghBYtWpSammr8qevq6rZs2YJPYdZblhNvIVmajvsqlcq8vLzs7OywsDBbW9vKykpaq2a8\n",
       "pwI0zsIRFRVFjhuFJM7WpKWlZc2aNXPnzv3ggw927tzp46NH0sWuC3dxkCxdHdpRc/ySM1OCgoJY\n",
       "mtb2FovF4eHhGkfskCvk4va1SuYN9WQaa9asQU9SbbDU8nWQxaok3NCYlKOjU6vl6CBQ6VnWNCFr\n",
       "7Efkr6alnlFRUTdv3vT29p4zZw7e+dq1a0hTOlnm0NDFAUHZKonF4kmTJvn4+Jw7d27ChAmWro75\n",
       "cDgcZt7G4tSAWGNjo45btKOOpcNbxGJxVlYW/nJis9k4x0VSUhKeeIIb0Sy19EZyuXz//v34qISE\n",
       "hBkzZqAnU37Qk0Qc1C1yuXzdunXo6SdYZL4OgiDwc1rqlo7K0fHUCCGkaBWKCqhv4Q8ab8nNzSU/\n",
       "d4IgHj9+3NjYyGKxsrOzvb3/ytZ/584dhBBOPEIQhOWfc6rREKCpPVZWf0vYHRQXF8fFxaWnpx89\n",
       "epTD4djZda+VgoVCIW4/Mu16dnV1HfKEk5OTjls6deHCBTIco6eXgwkODsZtarwDTp+Um5tLEER4\n",
       "eDg19slksoSEBPw6MTExJiZGJfMGUkumoR7dqPk68JMAnHADfxBJSUlkOfX19cePH8cjkdVPrX4I\n",
       "IhRI2YZsHckB3bhWgYGBOMUx7qolq/fw4UOZTDZq1CgXFxepVJqSkvLmm29+8MEHixcvRgjhZCMs\n",
       "FuvYsWO6/IXNSUOA7m63hFasubl5zZo1b7zxxieffMLn8xm4YKAZEE+zdHX+Rs3FgUcQ67JFOzxL\n",
       "G79OSkqaOXOmWCwmewakUik1aQZeO0ljOUFBQWTmDbFY/PXXXxuQeYOarwOvZaMx4UZ7e/uMGTOm\n",
       "T5++e/fuoqIi9VOrHqJoQb/ORnfPIITIPXGt8G+K9ySXHGloaLh3796wYcNwrurg4ODs7OwtW7Zs\n",
       "2rQJh3uNyUYYQsNHbvxaKoAJcPrmIUOGZGRkPPPMM5aujgXg23bW0yxdKXpRU2SIRKLAwEBqjgtE\n",
       "SS1JLseBl9fIzc2lZo8LDAzEa9CwWKzY2NiSkhL0dOYNlfM+evRIPY27Sr4O1EHCjerqarK1e+7c\n",
       "OfVTP3XIb4fQ4VjEno/8puJDqLWaOXNmUlIS3hIeHi6VSouLi5VKZXh4OLmSgHqtNCYbYQpCTac7\n",
       "dEokEuEnjWSsJx8id+rNN99csmSJAScFpLy8vGnTpr377rvV1dWWrkvn1q9fn56ebula0KWbXM+5\n",
       "ublNTU2GHUtdUyk7O7uTvcv/IKSHdCm2ra3txo0b5eXlhtXKYKa9njV0RxJG3wampKSkpqby+Xwy\n",
       "QTis6m0e9fX1ycnJN2/e/Oabb4YP1yMNLgAGUyqVra2tOnaRq+vVq1dxcfHx48dHjBjx7LPPdrJ3\n",
       "/zG6lNnc3Jyfnz948GDmr5mpHb35oI3PEgt0RBDEzp07J02a9Mwzz2RkZEB0RgjhGRNyudzIcVRi\n",
       "sRj3lpADtpg5LMRS2tvb+/fvb0wJgwcP5nA42qJzax369WXUWqdLaXV1dfn5+aGhoV09OiOaRnHg\n",
       "p7ozZ87EjwjgaqbbzZs3Z8yYUVRUdPbs2YULF1p9T6uOFi1ahFf2wUv8kFMz9EW9I8Q3npDinMrB\n",
       "wYEcuKavW7duPffcc9HR0dpGUDTcQ4dmoGfeRw5unRZYWVlZXFwcHh7O5AwbutPQxYFHceBOCfWR\n",
       "7brAa2WRpaGOu01u3LixZMkS6pY7d+7AU0rdPXr06NNPPy0sLPzvf/8L9yvqyJX0jMyeCneENPn0\n",
       "009PnTqFEHrhhRc67Fy9uRVN2IR8O5+PXlxc3NzcPGzYMMvn1TORTobE4sExBtCxIzsiIiInJ4e6\n",
       "BRaN1ZFSqdy6dev27ds//vhjE6+CbF3IcbUGzxMj7wg3bdoUExMDd4QqJBJJSEgIOUxCLzplGhj7\n",
       "Sae7KJXKgoKCHj16DB061IBqMJaG7xkej8flcvFIF10Wf1Sn3uUHSZdM688//5w4cWJ5ebmRS1L9\n",
       "+uuvU6ZMiY6O3rFjhwmrxxB4AFlsbGxiYiKfz4+NjTXsSTW+IyTXgQsKCoIn3lQtLS2GRWeE0Lp1\n",
       "6+Lj46dPn3769GnV9+pK0Ll/6VIIHrDRt29fwxbhZTINLWhy7LrB6zbCqt70uX///ooVK2pra3fs\n",
       "2EG9bS8vL09JSZHL5ePGjVu5ciXZAXft2rWvvvqqpqbmlVdeeeONN6jd01euXPnxxx8PHTrk6Oj4\n",
       "1ltv9evX74UXXjD370Mn6iS6xMREY9Yh1fGOMC8vLykpibolPz9/1KhRBp+X+QiCMOaZh5+f3+HD\n",
       "hzW8UStHovloRufthsbGxoKCgsDAQDe3znuouxxY1bvLwEtSxcbGzpkz59dff6VGZ4VCMXfu3ISE\n",
       "hGPHjvXr14+MROXl5cuXL//kk08OHDhw/fp1lbWcjx079t5773l4eLi4uCQnJ2v+dwL0uSMMCws7\n",
       "8bSYmBjrnsBJEITBTwi1lIrSX0fTtqLenfRX1NTUFBQUsNlsq4zOSGOANsnMK1jV27QuXLgwefJk\n",
       "/GLWrFkXL15cvnz5qlWriouLEUJSqXTo0KGTJk2yt7d/++23JRIJPiojI2PhwoVDhw7t0aPHxo0b\n",
       "VUJw7969y8rK8OvS0tK+ffua93fqMvAdIUEQaWlpDEx4Zlk2NjY0BGgWevVcp/mdy8rKSktLIyMj\n",
       "DR6CzXydTFQxbBRHamoqdRlv/KNh9QPkklS//PKLr68vQigzM3PDhg0bNmyoqamZN2/egQMHevTo\n",
       "8fDhQ7x/e3s7+ZS1Z8+epaWl+HVtba2rqyu15AULFkyfPr2ystLZ2Xnnzp1k2gSgjrwj5HK5cDFT\n",
       "KZVKUw6ZeJiHGirRoE5WkCAIAjcBw8PDrXtQaSd/WZWbYh3Bqt4m0dra+uWXX77yyivz58+fPn36\n",
       "nj17rly5ghD66aefvv/++5EjRz733HOJiYlHjhwZOHCgq6vr6tWr09LSXn31VfKWJSYmRiwWb968\n",
       "+cCBAzgNNLV8Nze3jIwMPz8/Dw+PEydOWN+ChCxNDCsK7gg7IpVKW1paTFPWg5voOAd5dDKWsb29\n",
       "/ebNm87OzjgFnWlOzVSddHF0t+WCmOPLL78MCQl59OhRRkbGf/7zn7KysrCwsM8///yXX36xsbEh\n",
       "28hKpRI/QP/pp59Gjx4tk8nef/998r7H0dExPT3d3d29tLR0+/bt6gPMXVxcXn311QULFljBnCt1\n",
       "GpMbGFCOyi1gamoqmdwHNDY2Ojo6mqCg2kJ04i00az/qqa2h0NzcfOPGjQEDBlhfe0IjWnJxAAM8\n",
       "fvw4IyPDxcUlICBg8uTJPXr0WLlypVgs3rRpk5+fH278TpkyZdq0aevXr1+2bFlycnJ9ff1//vMf\n",
       "3DVhY2Pz8ssvqxfr4uKiMhUI6AvuCDvy+PHjHj16mKasHr7olXTk0FPLLvX19VKpNDQ0VKWzzopZ\n",
       "yXybrq64uHjKlCkFBQXr1q2LjIwcPHhwXl7esmXLDh48uH//fnd3d7wbfhgybty4r7766tSpUzdv\n",
       "3jx06BANj2isCh6DweVyuVwuPOIzLVtbW/xcxCgPbqKWR8jOSXt0fvDggVwuHzZsWPeJzki9Bc3l\n",
       "csl+Z5FIhDN8w0BmuvF4vDlz5hw+fPjtt98eM2bM5cuX8XZHR0c3N7fTp0+fPn2azWZ/++23eAXu\n",
       "ESNGjBgxwqJV7jJiY2NlMtmmTZvwfBNo/JqQCfJdlGSgP9ahuP9p36u4uLipqSkyMtJq5nDrSHVV\n",
       "b0TpuUtLS5NIJBCd6aNQKEpKSq5cuXL48OGCgoJjx44tXLgwOjpaKpX++eefbW1tP/74Y1hY2P79\n",
       "+9PS0t577z0fH59PPul82isAZqBQKJqbm40q4vbvKPtLFJempe2M53AjhNhsdneLzkilBY3TJJE/\n",
       "5ubmZmVlCQQCs9eqW6isrJw9e3ZNTU1FRUVwcLCTk5Obm1tdXd2PP/4oFAp37Njx2WefjR8/nsfj\n",
       "OTs7Q7YNg4lEIvyITygUikQiS1fHety/f1+pVBq1NryLJ3rpyJmsnNra2tjYWPW8HG1tbXl5eV5e\n",
       "XkamM+26tCVLunDhgtWPYrGIlpaW9vb2+fPnV1VVffzxxwsWLEhMTLSzs5s+fbq9vX1SUtKMGTPw\n",
       "YsbAeNQJ38CEHjx4YPiQ8OZq5NQbeY7g8/l4cvy8efN2795N3aWxsTE/Pz8wMJB8BtMNPRWgORwO\n",
       "l8slm8xcLheG2ZncihUr0tPTy8rK2trabt26hUcLjR079tGjR998842laweATgiCaGtrM3CA3a39\n",
       "SHoAzTqAEDp+/DjetmfPHmqArq2tLSoqYrPZ1pHW2WBP9ekIBAJy0XIWi8Vms43v34BH51QHDhw4\n",
       "ffq0l5fXmTNnxo8f/69//Qsh1N7efuTIkc4X+wF6MuFEFaACxwdDjsxLRbf2odif8U/Tpk3DL159\n",
       "9VVyl4qKijt37gwbNqybR2ek3sVhZNIvTOWfgfac/VbsyJEjX3/9NU5WUF9fX1xcfOfOncWLF3//\n",
       "/fcsFovP58+YMWPChAnNzc2vv/66dec8s0IXQLwAACAASURBVAh8yVHXw4S0tyZkYPO5rQG9sBfZ\n",
       "/NXdnJiYOHz48Lq6Otynh+dwt7e3W1PSfWN0krDfMDweTyKR4NY3l8uNi4vrVkNBUlNTt2/f3tjY\n",
       "WF9ff/nyZVdX14CAgObm5qVLl7q5uW3evPn7779HCGVnZ3M4HNyIBvShzvqDGYCmUlVV5enpaciR\n",
       "w5chhNra2rZu3Xr//v233npr4sSJ+B2FQpGfn9+rV69uMktQF7QE6MTERLFYTO3O7g4OHDggFAqr\n",
       "q6sdHR0zMjIOHjy4bdu2X3755eLFi3V1dYMHD16zZo1SqcRjmfv06dPS0rJv3z5L19r6iUQi8pYO\n",
       "RnGYRFtbW2VlpX4B+s8NyNYBjVqBf/r888/x+pCZmZl4yauWlpa8vLyBAwf269ePhip3VbQEaPQk\n",
       "SX90dLRha7J0OWfOnNm3b9+hQ4fWrVuXk5OTmZnp7+9fX1+/evXqHTt25OTkDB48GCFEEISXl9fP\n",
       "P/9sY2PTbUcOmRmM4jC52tpa/UZWnF2FbOzQmHXkhry8PPwCL6SCB2wEBAT06tXLpDXt8p4K0Bof\n",
       "oRh8ccfExAQFBQUFBcXFxXW0T0FBwebNm6lbzp8/37VWFbt+/fp333134cIFDofj5ubm5+fn5OS0\n",
       "ffv2ioqK2tpaT0/PrKyshoaGoqKiTz/99Pz580uWLDHB7FgALOfx48d6rEJQX4oceqCxydRtb775\n",
       "5pEjRxBC//rXv2pqamDARkeeCtAmb2h0mlZmyJAhq1atom559OgRk9Nvt7S0bNu27dq1a6GhobW1\n",
       "tYWFhdevX9+3b1/fvn337NkTHBz8wgsvDB8+nMVi4YVK161bRxAETmyUl5fH4XCgf83MxGJxbGws\n",
       "fi0SibrV4xCa+Pv767F3zwHqq77GxsY+fPiwqamJxWKVlJRERkba2dF1N9+l0fJHIf9JkP8eqE/S\n",
       "qRwcHIYMGULd0rNnTyav6v36669HR0e/88478fHxQ4YMeeaZZyoqKrKysj744IP09PSlS5fa2dl5\n",
       "e3uvX7++R48ePB6PfNLt6uoKWY0sIjY2lmwlQC4OMyLQmQ9R+GLUJ0zj2x4eHtXV1e3t7RERETD8\n",
       "sSMaBrJwuVwjx41a5RJBOTk569aty83NXbJkSWVl5eLFi1kslq+v78KFC/fs2ZOfn48QcnNz4/P5\n",
       "2dnZcXFxU6dONU2eXACYRKFQ3Lt3r5OdlG3o2P+hXgEdRWeFQpGXl+fg4BAaGgrRWQsNARpn5IiK\n",
       "iiIIwuCZhFazaGxdXd3u3bvffffdlStXhoaGtrW14YdObW1t7e3ts2fP/uabb65evZqcnGxjY7N7\n",
       "9+6XXnrJZBlygSngURwYjOIwnkKhqKmp6WSn/N3IdxyKfKujw69fv+7j4zNo0CBaqmhFOhkKnpub\n",
       "a1i51rFEUE1NzYwZM2prazMyMhobGyMiIkaPHm1jY5Obm/vTTz8RBPHJJ5+UlJSMHTs2Li5u3759\n",
       "kAKUgfAXKmZ8BzTMjNVJ2GI83lmFWCweOnTovn37Ll682Lt3b/PXq8vR0AfN4/G4XG5CQoLBS15Z\n",
       "x6KxUqn022+/ffXVV995551Dhw598cUX33333Y4dO+bPn3/x4sXXXntt3759jo6OaWlp5Eh7wCim\n",
       "GpUEM2OpWCxWhw/0lG3o0ldozMfq7xAE8eqrr5aVlf3zn//89NNP79+/v2zZMujc6JSGPzQ51dvg\n",
       "Od9WsERQSkrKtWvXHj16dPbsWT8/v5dfflkoFLa0tPz5558FBQVeXl4VFRV//PEHjGVmMg6HIxQK\n",
       "ORyOkROmuvnMWFJjY6ODg4O9vX1wsKZ1Xdub0NG5aOh89Xdu3769YMECHx+fGTNmrFq1qqmpafz4\n",
       "8RCddaGhi4PP5+Psw9HR0d3zbq66uvrMmTMHDx78+uuve/fuvW7duvnz50ul0vLy8vfee8/R0fHz\n",
       "zz/fuXMnRGeGEwgEBEHExcXhDmiDc2onJibGxcWRS/F2T6WlpXK5XKFQdLjHcQ4aOh+FJKi/s379\n",
       "+jFjxvTt2/ezzz5ramqaMWPGtm3baKyrFdEQoJOSknDb+cKFC+QA0m6loqIiICAAIRQREbFmzZri\n",
       "4uKFCxdOmTKlra1t2bJlFy5cgMxzXQjZB4066PTQsZC4uLhum2upsrKyrq5u2LBh2gYmTdtCjc5r\n",
       "1qxhsVjPPfdcRUXF1KlT8/Lyvv/+e6VSuXPnTnIJBdApDV0cUVFR5q8HEzQ3NyuVShcXFy8vr6tX\n",
       "r8rl8sDAwJaWllGjRtnY2Dx+/PjYsWPwZKPLoU5UMaarTZeZsdbKzc3N09NT89dbSy0qO4+GvIDs\n",
       "/p5fVl5evnbtWoRQYWFhdnb2qFGj9u7dO3ny5A8//BBWotCLhgCdnJzc3ZLLKJXKd955RyKRtLW1\n",
       "FRcXjxo1qqGhYfbs2e7u7vfv3/fw8Pjvf/87cuRIS1cT6AdfxhwOx1SPQDp9mnLjxo0lS5ZQt9y5\n",
       "c8cKWjwdTsJuqUX/i0dRazTuHx4e/s4771RUVLz44ouHDx+muY7WSUMXh2mHJXUJu3fv9vHxOXPm\n",
       "zMCBA+fOnTtr1qxr164pFIrq6urVq1efP38eonPXJRQKjZx4JRaL8bHkI5mO+joiIiJynhYXF9e3\n",
       "b1/Da29pZWVlHY56bmtAaXEoai0aoDqKycPDQyQSrVy58t69e113lC0TPBWg8WXXrVagSE9Pxyub\n",
       "XLx48dGjR2VlZW+88UZGRkZsbKybm9snn3yycOFCq/8jWCtCEwPKscqZsbpoaGh48OBBhxnmbOzR\n",
       "NCEaMEFlM0EQMpksICBgwYIFa9euhfm0xniqiwOny+hyQ+J0V1pa+uGHH5aVlbm6uhIEgdc9O3Pm\n",
       "zB9//JGZmfnBBx/06dNnyZIlTU1NBw4cWLFixejRoy1dZcAI5MxYLpfbTR5wtbW1FRQUhIWFaWig\n",
       "NFYhhJCLJ/JQHW+nUCgkEkmfPn2MWu0bPKGhi8OKH1UvWbJkxYoVmZmZFRUVVVVVycnJCQkJSUlJ\n",
       "CxYsYLFYe/bsOX36tEwmGzJkyOLFi1966SWcxBkA65gZqxd7e/sRI0ZoSC1Zdwf9Lw41a+j3aGlp\n",
       "uXHjhq+vL0RnU9HwkDArK4v6nWkFDeqqqqoNGzZcv3799u3bgYGB5eXlISEhCoXC1dW1urpaoVBc\n",
       "uXKlsLDQ29v7xIkTfn5+ZWVlHh4ePXv2tHTFASNYx8xYHREEUVJS4u3t7ejoqGFVwEdFSDQfTd+O\n",
       "eoeovNPQ0HDr1q3y8vKPPvooJCRk48aNTM4b3FVoaEEb32en+0MVWuXm5i5dunTevHmTJ0+OjY1N\n",
       "T0+3s7NbtGhRnz597t69W1ZWFhUV1atXr7Nnz86dO7ehoeHw4cNDhgyxtbUdNGgQRGerYXx2RiuY\n",
       "Gauj9vb2mzdv2tradthx3N6EYnej3qEqm6urq2UymZ+f36xZs9LT0/l8/g8//EB7dbuBp1rQOGuz\n",
       "ykVswLWIH6oEBgbiyVcWGQpSVla2dOlSvH52XFxcZWWlg4NDcnLye++9t3HjxurqahaLFR8ff+7c\n",
       "ucWLFy9btiw4OBgWdLBKODujpWvRNdy+fbt///6aVwVsb0Z2ThrTh5aVlT148EAmkz18+JDc+OjR\n",
       "I/rq2X081YImHxIa2YJGDEg3evz4cS6XO2LEiKCgoAEDBuDlWefPn+/n5zdu3Lj169e7uLj07dv3\n",
       "6tWrAoEgMjISorO1MjhlbjcUGBioOTo/yEUHpiBFi8pmgiDkcnlTU9Pbb7+dkJAwderUefPmIYQm\n",
       "T568bJmGbHZdXUNDw8OHD0tLSxsbGxFCjY2N169fp3WBEbqWmcHT8BBCAoHAIv0bzs7OFRUVCCFX\n",
       "V9fhw4eLxeI9e/YcPXo0Pj5+165dzc3N+/btU1nMBVgrK3umQhOlUqmh0xkhVJ6Fzq1GLx1Btk/1\n",
       "e7S3t+fn53t5eSmVyosXL+KNnp6e1vEXxusSNDc3NzU1DRo0yN3dvbm5uby83MnJydnZGXcBubi4\n",
       "REZG0loNDQHa+DXcdH+o8uDBA5UpRgUFBQMHDtT3jOpeeOGFmJiYHj16eHp63rx588MPP6yvr/f1\n",
       "9U1PT//888+fe+45408BugTo4tDRnTt3+vTp4+bmpvpG1TU06wBy8aJua2lpyc/P9/Pz8/DwIAhi\n",
       "woQJZ8+eRRbqzzSMQqFobm7G+fna29sLCgra29sRQgMHDsRL4jo5OfXq1cvZ2dnW1hb/aP6HwxoC\n",
       "tPFruOn+UEWhUHh4eFC3ODo6GvnP6fLlyzk5OZGRkenp6b/88kthYeH27dvv3bv30UcfvfLKK5mZ\n",
       "mfb29saUD7oWDodD3s+BjlRVVdXW1mpe0Vgt9X59fb1cLg8JCXFxcUEI5eTkjB49ura2NiwsbPz4\n",
       "8WaoLVV7e7tSqVQoFPb29nZ2dgRBPHz4UKFQKBSKHj16uLm5KRSKW7du4S0DBgzo27cvXnALIeTk\n",
       "5OTt7Y0PDA0Npea5trW1ZcIUUA0BmtpnZ1gaAd0XjfXy8pozZw51y/Hjx43p0+Hz+WfOnHnuuef+\n",
       "85//hIaGfvrpp3fv3v3ggw+cnJz27t0LwzO7IaFQiFPsY9CaVtfS0vL48ePIyMinujhuH0eFv6Ln\n",
       "vlXZ+f79++Xl5eHh4bihc+TIkZdffhm/dePGjeHDh3/44YcGVwOHUUdHRwcHB4IgKisr29ra2tra\n",
       "evXq1bt3b6VSmZeXh1Oe+vj4eHp6KpVKiURiY2NjZ2fn6enZu3dvgiBaW1vxqgIODg4IIVtbW39/\n",
       "fzs7Ozs7O9zZZWtrGxERoXJ2Zi4rrqFOKhc0/pX0uqzNP4qjqKiouLg4IiJi7969Fy5csLGxeeed\n",
       "d8aPH9/a2pqRkbFhw4ZJkybRXQfATBCRtWhra7O3t3d0dFR9HiNPQzeEaNZBlf0LCwuVSmVERMTt\n",
       "27d79+7t7Oy8Y8cO6g4GD95QKpV37txBCNna2vbp04eMrQ4ODnZ2dripbmNjM2zYMOpRNjY2KqHW\n",
       "xsZGvR3WdYcAaAjQJrmgzTk1duPGjefOnfvHP/7x8ccft7W14VZAenp6Xl7e9OnTz507x8zvRgAs\n",
       "7urVq88++6zq8HBlG5IeRLP2I3uXv7cplfn5+S4uLnw+//Dhw2VlZQihf/zjH+TjQYRQbGzs8uXL\n",
       "9a1De3t7W1ubs7OzykItLBZL85CS7kRD5OJyucbfEpptFMfDhw9Pnjx58uRJhFBiYqK/v/9PP/10\n",
       "5MgRgiAiIiKSk5PpOzXoEox/6G2VGhsbCwsLnZ2dNUzesbFHsT9TN7S2tubn5w8cOHDr1q3//e9/\n",
       "ye1kdI6Njd2/f7+rq6tedaitra2qqnr8+HG/fv1MMjTA+mju4jCyEW3OqbHl5eWhoX/Na7K3t3dy\n",
       "cvr444/79+8fERHx448/0nRS0IUY/9DbyjQ2Nrq4uDg7O7PZbDw+4W/5u5FjLzRkJnVbU1NTQUFB\n",
       "QECAm5ubSg/GkCFDioqKEEKvv/66vtEZIeTi4uLr62tvbw/P7TvSyUNCw5hzamxwcPDly5fv3bt3\n",
       "+fLl1atX+/j4/PHHH5qHcwLQ7dXX1+OnNSwWSzU6X+ah+9fR9K3UbQ8fPrx7925YWBjuFF6+fHlW\n",
       "VlZmZubkyZPnzp07Z86cY8eOBQUFjR07Vvc6VFVVNTY2Dh482MHBARcLOqK5c7YLDex3dHT88MMP\n",
       "hw0bZmtrO3HixG+//RaiM6ASiUTdbYUgjQiCyMvLY7FYISGqeY4QQqjsAnpwA03filh/R+2Kior7\n",
       "9++Hh4eTT3H69+//ySefvPbaa/Hx8biDeMGCBXpVo7q6urKyks1mG/6bdCe0dHGYzePHjz/++OMb\n",
       "N26cOHFixIgRlq4OYCK8QpCla2Exra2ttbW1eEVBNpvdYfPFNxr5PvWsqKioSKFQhIeHU5tr5KC6\n",
       "1NTUs2fPqrbBdVBWVhYaGmrAgd2Thk8LD+w3f1X0tXPnzokTJz7zzDOnTp2C6Aw6YsX5zbVraGjI\n",
       "y8vLz88n27+ao7Nkl0pyZ5zTztnZOSgoCEfn5ubm5cuXP//886mpqXifrKysqqoqA2oVFhYGPc66\n",
       "63wcNANbHwcPHly2bJmzs/PMmTNfeeUVWJIKaGF9+c11pFAo/Pz8evTooW2nP1LQ43I09P/IDc3N\n",
       "zQUFBf7+/u7u7uTGH3744bvvvqMe9/zzz3t7extQK+iB1Ast+aDpU1dX9/bbb3M4nAMHDty5c2f8\n",
       "+PEGT1sC3QSTr2c6KBSKBw8eIITc3Nw6ic45/0YttWjqd4j1Vxyoq6vLz88PCQmhRmf09PSTP//8\n",
       "MyMj4+jRo/o2jEpLS6n5SIEuusy3GUEQO3funDZtmp+f37JlyyZOnIgQeu21127evGnpqgGGwp0b\n",
       "3aeLo7m5+c6dO9evX9e1hzd8CZr4b4T+irMPHz4sKioKCwtTmXdXW1vr5uaGJ+ylpKSMHj16ypQp\n",
       "+o6+aGhoqKqq6t27t15HAQ2remt8YVnZ2dkTJ04sKio6derUSy+9VFxcjLc/evQI7phAR/ADLtzF\n",
       "YcyKKgxZIUij1tbWyspKnJ6iqampR48ew4cPV0lApopQotvpCCHk9He4LC0traysjIiIUI+8r7zy\n",
       "yooVK27cuLFt27aPP/7YgEq2tLTI5fLQ0FDojdQX06PbgwcPFi5c+MUXX2zbtm3NmjUuLi5Dhw7t\n",
       "2bPn22+//e2338bFxRl2xYDuQCAQEAQRFRVlZBcHzi1DEERaWhoZoy2urq7uypUrt27dam9vx80U\n",
       "Dw+PPn36dNJkIZToBAdV3/p7A0EUFBQghDSO8WhpaTl16hR+jROK6gUn8HR0dIyMjMT5NIBemJuk\n",
       "QqFQfPvtt7t27frss89mzZpFfevHH3/Mzs4uKyvbvXs3JKgD2mlMo6gvc+aWwZRKZWtra0tLi7Oz\n",
       "s4ODQ2tra1FRUVtbW2tra2BgoLu7e8+ePUeMGKF3m/QEB/WNQCPfxT8pFAqJRNKvXz/1J35CoZDL\n",
       "5Y4bN+75558/ceIEQig+Pl7387S3txcXF7e1tcGQZ2PQEqCp2Q8wfXMgXLx4ceXKlVOnTj137pzG\n",
       "TFSjR482tpYA6MzkuWWUSmVbW5utra2dnV17e3tZWRkOvv379/fw8GhpaSkoKLC3t3dwcOjfvz/O\n",
       "6DZgwAA8Kxq3cw3sLgh7nRzv3NzcnJ+f7+/v36tXrzNnzqxcudLT03PHjh39+vVTKBQ4FeX58+eX\n",
       "LFly+vRpb29vMqdCpxobGyUSyaBBgzw9PQ2pJHjiqQBNHZBkTG8RmW4U/yiXy6mpOTr1xx9/VFRU\n",
       "bNu2TfOUJwDMy7S5Zdra2iQSCYvFsre39/X1dXNzs7GxcXNzw0t74DHCuE+AepSNjU0nQzK0U7Si\n",
       "5mrk6k1G59ra2tu3b7PZbLx6E5mPd/bs2WfOnKH2dXh4eOiSrVepVNbV1REE4eHh4ezsPHLkSHg+\n",
       "ZLynArQJByFRF7AIDAzUK/G/r6/vsWPHTFUTAIyke26ZGzdurFixgrqlsLBw8uTJ1C329vbqwbeT\n",
       "x3pGam9CR+eiYW+igBfxhqqqqoqKCnLOCHWJjNu3byOEWCxWZmYmj8fz8vLS8TGPVCq1tbXFXY4G\n",
       "P48FKmjp4sjKyqIuMiSXy7OysnQ/HBIPAhPi8/kIIYlEIhQKeTxeYmKiviXovkJQREQE7q4lpaam\n",
       "0rrqc+faGtD/4tGwN3B0Jgji9u3bLS0t4eHhZAvXxsbm2WefvXTpEkJo6dKleOPEiRPxYFbdDR48\n",
       "GGYJmhYtAVokEqncA3aUpKa1tbW0tJS6pb6+3snJiY5age4pKSmJIAicaJTFYhkQoM2/QpApNT1E\n",
       "oz5Ag6chhBQKRX5+vpubG+5NLi0txZkgfXx8Ll68mJGR4eXlZfAy1br3UAPd0RKgdU9PU1RUtHnz\n",
       "ZpUtY8aMoaNWoNuSy+WGra5JMv8oDpNxG4TcBiGEmpubJRLJ4MGD79+/v2/fPl9fX+oCr//+979V\n",
       "Omf0gr/8TFBb8DR6R3F0eksYGhoqEAioWyx/SwisC4fDCQoKEolEXC6Xx+MZVojZVggyFUXjQ2Va\n",
       "vF3sDlavAIRQbW2tXC63s7NLSEjIyMhQ3//s2bMGBOimpqba2tra2lpbW1uVBauASdDymJWZA/tB\n",
       "94Snq8TExAgEAgP6N5DasI3U1FS9nqmYjUKhWLJkCYvFWr18oWTdkKjV52JefQdPNcRJ+v/5z39q\n",
       "jM4IIXJl7k4plUq5XI5vkRsbGwmCGDJkCERnmtA1DoZsbqSlpXWJ5KXAWuGJ2lwul8vlGtZcMOcK\n",
       "QdplZmbiARK///67+ru//fYbXmO77I9dS3+uy7mLjh8/fv78+YcPH0ZGRjo4OJw/f57cmexrHjFi\n",
       "xNWrVxctWqRLBaRSKc71gTs0+vTp4+PjgwfqATrQFaDJoCwQCHT87DUSCoVRUVETJ07kcDgtLS0m\n",
       "qh3oRmJjY2UyGUJIIBCozJ+yiJKSkuvXrxt27BdffIFfrF+/Xv1dcgTFz5fRnyXIwcHh448/7tWr\n",
       "FzmHe9euXXiHL7/88ty5cw0NDYWFhTk5OcOHD+/ojARBVFZWSqVS/GNAQMCIESP8/f0Nqz/QFy19\n",
       "0KYa2J+Tk5ORkXHu3DlbW9stW7Z8/fXXH330kUlrCoBZHTp0aPbs2Qiht99++/vvv9f3cHJhVo3T\n",
       "a2PHsXM3DF3+u1dMTExoaGhDQ4O3t/fIkSPJHebPnz9//nzqIUOGDNFyupqamuLi4r59+5K7wUoo\n",
       "ZkZLgDbVLeEff/zxyiuv4GvitddeS0hIMFkVQbdBDvoUCoUWX5Nwz549+AVOga/vyIfNmzc7ODgo\n",
       "lUoNLeiHEpZ4YRjnyOnVIU1NTRKJxN/f38j0nj179hw+fDhMCLQg5iZLQgj5+/ufPXsWx+VLly5p\n",
       "/7YHQCNGrUk4cuTIw4cPI4Sef/55A8alBQQEHDx4UPN72RtR7M+odwhu9rLZbI2tbL2Qa2UBS2H0\n",
       "BxAbG4tvCT09PW/cuHHo0CFL1wh0JRojoGWD9UcffRQcHHz//v3/+7//63xvvcTsRAhVVlaWl5eH\n",
       "h4frm1AfMBOjAzSLxdq+fXtxcXFDQ8PQoUOh/wvohTkNZxKLxZozZ44pS6y6iqquovAlBEHg0W/D\n",
       "hw+HOSNWg4kB+syZM21tbSobTTLy9OzZs+a5dgmCqK2tpTcDzhNtbW0tLS1GpTrTWUNDw5gxY0z7\n",
       "e126dIn6IMuE8PQolU/c/FFb4/Ws0cOHD3NycnRPbM/uUTHH5/o3RROb0LkJEyZUVlbm5eVp3PPx\n",
       "48cODg50NKtra2vd3d3p+GdVXV1N0xJZNJWsVCrd3NwqKytNeD0zLkDHxMTQt/JCVlZWXFwcTYVT\n",
       "KRSKCxcu6JXg3GB3796trKw0z8in4uLi6upq0z4MmDdvnr5JeXSEJ69ath2t1/UslUqrqqqeffZZ\n",
       "XXZ2s22Y2zt/Z3V8j37uE0aOLC8vr6qq6tevn8adS0pKPDw8fH19da23zq5evTp27Fg3NzeTl3zm\n",
       "zBk84qWrlFxbW3vt2rUVK1aY8nomupNJkyaZ50RNTU0zZswwz7kyMjLWrl1rnnOlpKQcP37cPOcy\n",
       "FeqSVyrLXzGNWCzesGEDHSVv2rTpt99+o6PkxYsXFxcX01Eyff9aaSpZKpUuXbrUtGXCABpgtbhc\n",
       "rsqisZauEQD6gQANrJb6orEmWZ8QALOBAA2sHARl0HVBgAZWDnd0QC8H6IpYBPPGitJHKpWaLS+i\n",
       "2c7V0NBQW1tLxwN6deXl5W5ubuYZ0mcqeC0VS9dCJ/X19Y8fP+7fv7/JS753756rqysdYy3kcvmQ\n",
       "IUPomA5O378gmkpub2+/c+dOQECACcvsMtcuAIbpaLEIAJgPAjSwchafqAKAwSBAAwAAQ8FDQgAA\n",
       "YCgI0MDKwSgO0HVBgAZWTigUktNVOByOpasDgB4gQINuJDc319JVAEAPEKCBlePxeFwuNyEhgcVi\n",
       "hYeHW7o6AOjDtLmXGCgqKgr/pmROBvUtNJ0I4/F4PB7PhCfSeC4ej4e3cDgcus9FdhTIZDLTnqsb\n",
       "ou/PS9+VT9+lTtOFTd8fmSxHJBKZtmTMylvQYrE4PDwc/6rh4eFisVh9C00nIrcnJSWZ5BRaziUW\n",
       "iyUSCd6Cd6D1XLm5uQRBiESiRYsWmepE3RN9f176rnz6LnWaLmxa/8joSRs3NjYWbzHtvw7GJew3\n",
       "rZiYmJiYGPyazWZr3ELTiRBCcrk8JSVFJBJJpVJTnUjjuXD5eIgCh8Mh36XjXHiFbKxL9BgweaKK\n",
       "xo8Sr5IcExOD/82bqmRTXfn0Xeo0Xdj0XcPUkjFTfXwkK29Bk/BXMfWvqb7F5CcKCgqidZIxeS6J\n",
       "RIKefJOz2WwTtqDVzxUYGJicnMxisVJSUgQCgclPZHLUG0bGjuKgXjZkmgjyxtxUJXe0xfiSTXup\n",
       "03Rh03QN43GcZFeMaT8+K29BY1wuFyFE/STUt5j8RHw+Hz3dfEtMTKTpXGw2m7wsgoODpVKpab94\n",
       "VH4vfNcpl8u7UB4iTCgUMvBLReVqJD8+49fhpO/Kp+9Sp+nCpu8aFggEAoGAz+fjv4MJPz6EusdD\n",
       "QrL/vqMtNJ0IE4lEdDwkpJ5LJBKRj1B4PJ5pfzuVc1EfBHWJ64d6tZv8Carx1D9K/CCLfGGqkjVu\n",
       "MVXJmPGXOk0XNk3XMPX3xWWa8OP7q3rGF8FkKre0PB5PfQtNJyLfMnmA1ngu8g7LDOci793o+J7r\n",
       "VjT+eU0yDIC+K5++S52mC5vWa5gsnPwiMe0oji52iwoAAN1Hd3lICLonaiIOsVjM5/PpeIIKAE0g\n",
       "QAOrhZ8LkXeLaWlpdIzbAYA+0MUBrJbKA/ro6OisrCy44EEXAgEaWC31EVRdblwg6OagiwNYLQ6H\n",
       "g3s5MC6Xy9iJKgBoBAEaWC2BQMBms8mHhGw2m4GzVADQAu74AACAoaAFDQAADAUBGgAAGAoCNAAA\n",
       "MBQEaAAAYCgI0AAAwFAQoAEAgKEgZZfDfwAAIABJREFUQAMAAENBgAYAAIaCAK0ZXgsHr2GDicVi\n",
       "Fosll8u1H8jlcjvaR2X1UnIjyZgKoycrD1FPZHyZXVd0dDT+q0ZHR+u+DzU9qcrnqOWtTk+q8YMw\n",
       "rEAtv5dhBZJHqSRi5fP51IuT+m/BzDXE1P+GxtdQ5RCDCyQPVz9El+sQwzGHSiwWQ4DuUFRU1P79\n",
       "+8kf09LSTLIKJBWLxSKXXeDxeBr/GeuOrC3MDhWLxeHh4fgPGx4erjEHtMZ9cnNzyU8kMDCQur+W\n",
       "t7QUiL/XNVbSgAK1/16GFYieZGRVWYU6MTGRzNTK4XA0LjNohhpq+RsaVkM+n09ukUgk1BoaViC5\n",
       "PSkpScedO6KySlZMTAwEaG0SEhLw31Qul1NXqicbAmQuHnKL+j4dfQ+LxWIej0depomJiRwORywW\n",
       "y+VyarG4oaFyRrlcrvLNzOVys7Ky8LvqV7NKZfAVr95oshoxMTFk2g3qB6fLPkFBQdRPlkrLWx0V\n",
       "KJVKCcoCS0YW2OnvZUyBHeFyuStXrrRUDVFnf0N9a6hSMalUanyBcrk8JSVFJBLpsrNeIEBrM3Pm\n",
       "zLS0NITQsWPHZs6ciTdSGx34R+oWoVCocR/1wqVSKbliMcZmszVeLjhG49Jyc3PJe0OyfLlcLhAI\n",
       "oqKiNP5jU69MWloabsgEBQUZ9IfpMsRicadJ+sl9xGIxThhNEASbzaZ+alre0n7Sjta3NrhALVsM\n",
       "LhB/f5Or/6nsiRDS2No1Ww21rxGubw0TExP379+v0pwypkCEUFBQ0IULF3TcWYusrCxqFweCAK1d\n",
       "YGBgbm4uQkgikZAfmFQqjYuLw6/j4uKkUil1C05oKZVKhUIh/isnJSVpDLt4GXn1jRqrQWZlI9dy\n",
       "Dw8PV3nREfXKrFy5Ejdkjh07psOfoavicrlpaWnaW4jUfWJiYognvUMqn46Wtww4qZEFajyFMQUK\n",
       "BAJ8rPrdXlpaWkdtSXPWUAsDanjhwgXye8L4AvEfjcVixcbGJiUlqf8Ndf91VLo4EAToTiUkJPD5\n",
       "fOoHGRwcjJvVCKG0tLTg4GDqFhzQg4ODqYsQa2wCxMTEJCUl4a9r3NtAfsfiQhBCuD2OP3JclAH9\n",
       "4OqVCQwMJAhCJpNRO9mtTHR0dFxcnPZ/FSr74A5K/Frl/kbLW/qe1MgCOzqFYQVSj9IoNzdXe1uS\n",
       "7hp2St8aisVisoMlKSmJvDM2uECy5xovaq7yj13fX0cVATSRyWT420wmk6EnK6hHRUXhF1rWWlff\n",
       "Bz1Z2l3jX1vl48AFklGYw+HIZDJcB3KLSCSSyWTUU+MzoiffwIjSoaFSPVwZ8kcj15xnIPwXUEnM\n",
       "j7+fVJonGvchN5JfaeRRWt7SUqD6nsYUqP33MqyG6hczeRT1MrNgDbX8DQ2oIXUjef0bWSCGAzT1\n",
       "KF2uQxL1nzm5PwRo0F109A8DCoQCGVsgJOwHAACGgj5oAABgKAjQAADAUBCgAQCAoSBAAwAAQ0GA\n",
       "BgAAhoIADQAADAUBGgAAGAoCNAAAMBQEaAAAYCgI0AAAwFAQoAEAgKEgQAMAAENBgAYAAIaCAA0A\n",
       "AAwFARoAABgKAjQAADAUBGgAAGAoCNAAAMBQEKABAIChIEADAABDQYAGAACGggANAAAMBQEaAAAY\n",
       "CgI0AAAwFARoAABgKAjQAADAUBCgAQCAoSBAAwAAQ0GABgAAhoIADQAADAUBGgAAGAoCNAAAMBQE\n",
       "aAAAYCgI0AAAwFAQoAEAgKEgQAMAAENBgAYAAIaCAA0AAAwFARoAABgKAjQAADAUBGgAAGAoCNAA\n",
       "AMBQEKABAIChIEADAABDQYAGAACGggANAAAMBQEaAAAYCgI0AAAwFARoAABgKAjQAADAUBCgAQCA\n",
       "oSBAAwAAQ0GABgAAhoIADQAADAUBGgAAGAoCNAAAMBQEaAAAYCgI0AAAwFAQoAEAgKEgQAMAAENB\n",
       "gAYAAIaCAA0AAAxlZ+kKqCotLd29e7elawHMx8bGZsmSJX369LF0RWgB13N3Y9rrmXEBOiMj48GD\n",
       "B9OnT7d0RYCZ7N27Nycnx1o/cbieuxvTXs+MC9AIITabPXXqVEvXApjJpUuXLF0FesH13K2Y9nqG\n",
       "PmgAAGAoCNAW0Nzc3NTUZOlaAACM9eDBg9bWVvrKZ2IXhxXLycn56KOPEEIKhcLFxWXt2rUjR460\n",
       "dKUAAHpramoqKCiora0dOnSot7c3TWehJUCLxeLY2FjqFpFIFBMTQ8e5uhAej5eRkbFjxw5fX1+E\n",
       "0J07dzgczqJFi+bNm2fpqgEA9NDS0nLp0iUWixUSEkJfdEY0BeiUlBSZTBYYGIh/lMvlQUFBBEHQ\n",
       "ca6u4rvvvsvPz09LS7O1tcVb/Pz8fv3114SEhD59+sBTfgC6EDs7Oz8/P29vb0dHR3pPRFO5ZHTG\n",
       "r6Oiomg6UZfw+++/Z2Zm7tu3z8bmqU5/R0fHn3/+OTY2dsSIEZ6enpaqHgBAL7a2tn5+fmY4ES0P\n",
       "CbOysuRyOfmjXC7Pysqi40RdQmVl5aeffrp161aV6Iz17Nlz/fr17733nnkqI5fLWU8Ti8X6FsJi\n",
       "sTrdovuxADBfQ0NDYWGhUqk083lpCdAikSgoKIgMAUFBQSKRiI4TdQlJSUn//ve/3d3dO9ph/Pjx\n",
       "BEFcvHjRPPWJiooiKAx4NqDeW9XN+6+AFVMqlcXFxTk5ORUVFVYSoGNiYoinddsnhL///nuvXr3G\n",
       "jx+vfbf169d/8cUX5qmSOrlczuVy8bcpn8/Hr6Ojo1Xe4nK5eH/cCubz+dHR0fg12S7m8/l4Z3y4\n",
       "+rEAdCE1NTXZ2dm3b9/29vYeM2aMnZ25h73RO4qDHLwRHR194cIFOs7FZO3t7WvXrj127Finew4e\n",
       "PNjX1zcrK0uls37btm0ymUzf84aGhi5evLijd7Oysqj9DLjxKxQK8QsWiyUSiQQCAZfLFYvFQUFB\n",
       "5Ft4C/W7Njw8nPqxyuXy/fv34535fP4///lPsvzo6Gi5XE59MgEAkxEEUVhYWFpa6uDgEBERYalc\n",
       "MfSO4sDtpm7bfN6xY8ecOXM8PDx02XnFihXJyckqAXrkyJEGPIvo16+flnejoqLUvyw5HA75rsrn\n",
       "Rb4VFxcnlUqp77LZbOqeMpksISEBv05MTERPGtT61h8Ai2toaCgtLfXx8QkICCBHXpkfvaM4cEMs\n",
       "KCiIprMw0IMHaO1a1NaG/vOf1u3bt586dUrHA0NDQ9va2kpKSgYNGkRuHDFiBD3V1INQKBQIBAih\n",
       "tLS0uLg4LXsGBQWlpKTg0Izvong8HtmCNk9tATCJHj16jBs3zvx9GiroOj15PysQCLT847xz584P\n",
       "P/xA3ZKdnf3ss8/SVCu6ZWejGTPQhAlo0yaUmpo6d+5ce3vnH35Ab76J7O07P3zp0qVbtmyhuzNa\n",
       "pYuDx+PNnDlTy/4cDgfvz+FwtN8MBQYGJiQkkIXLZLKgoKCkpCR8LHVoPAAMpFQqqUOtLB6dEUIs\n",
       "Op6/q8xM0TJR5dGjRyrJn7755pvevXv//PPPJq8V3fLy0MSJ6IMP0OrVSKlURkVFZWRk2Ni4/uMf\n",
       "KCQE7dmDOr1PUigU48ePP3/+vMYBeRYhl8s3bdqEW9A02bBhw8iRI611qk5qaqpSqXz99dctXRGg\n",
       "TXt7u0wmq6qqio6ONjIum/Z6puUrIjAwkBqOVX6kcnd3V8nEuG/fPvOPZTGJn35Cb7+NVq9GCKFf\n",
       "f/31ueeec3V1RQidOIGio9Hy5ejpWwUNbG1tJ02alJmZOWXKFPrrCwBACKGHDx/eunWrtbXVz8+P\n",
       "Ca1mKjO11LpDF+SmTYjsnNiyZcvy5cvx6379UHo62rcP7d3beSHz5s3btWsXbXXUW2BgIK3NZwAs\n",
       "qKWl5caNGzdu3HB2dh4zZoy/v7+la6TKTAG6W42xk0qlbm5u/fv3J7cMGYK2bEFpaZ0fGx4eXlhY\n",
       "SGsCQwAAQqi5uTknJ6empiYgIGD48OHOzs6WrpEGTOnr7NLu33/qRzx2RWWfV17RqQWNEJoyZcrJ\n",
       "kydNVDUAQIf69u377LPPDho0iLGDQWkJ0GKx2PiED13F/fvI3x/V1Pz1Y1tb28WLFydOnGhwgbNn\n",
       "zz548KBpKqcG5+Lg8/nkFvxhUXOnaMTlcjvaR5eLW8vhAFiEk5NTSEiIi4uLpSuiDS0BGk9UIed5\n",
       "y2QylfTQ1uTbb9E//oHIySjHjh2LiYnRErPy8pBCoa3A8PDw/Px8hfadjBAVFbV//37yx7S0tG6e\n",
       "axB0E83NzeXl5ZauhX7o6uLoJulGFQq0dStKTPx7y+7duxcsWKDlkHffRUJhJ8WOHTv2zz//NEUF\n",
       "NUtISMD3NHK5nDobUD11BrlFfR9qM7yjt9QPB8D8CIIoKyvLzs4uKirqWoPEIN2oUY4dQ3Z2iLw9\n",
       "ePToUV1d3eDBg7Uc8u676NNP0aNH2oqdOXOmSCQiCLRgAXr++b//Ix8zanlLFzNnzkxLS0MIHTt2\n",
       "jJylgkM2vunBP1K3CIVCjfuQZepyeBdFjkEiu+wsWx+gl8bGxmvXrkmlUnd391GjRjFnkoEuaBn0\n",
       "h9ONqmyh40QWd/kyWrgQkZ94WlrarFmztB/y4osoMBB99x366KMO95kwYUJKSgqLhWbNQrW1f28P\n",
       "Df3rhZa3dBEYGJibm4sQkkgkiU/a/1KplJzJjdNu4Bd4C87IIZVKhUIhGW15PB45t1D9LfXDuzQu\n",
       "l0tOhuyeyb+6HIIg7t69W1xcbGNjExoaSh1Y1VXQEqBxulE6SmaatWuf+vHAgQNbt27VfgiLhdat\n",
       "Q3PmoH/+E/XsqXkfBwcHd3f3qqqqhIQOl1l5kpXIQAkJCXw+n9q/ERwcnJaWhgMumXaD3IIDenBw\n",
       "MI/HS6T26VAOV3lLLBarHA6AOdXW1hYWFvbt2zckJMTBwcHS1TFEV2rtM1xtbW1LS4suK0hOmYLi\n",
       "41Fjo/Z9ppw+fdpklVMzc+bMpKQkahYOHEnJW/iYmBiVLXijRCLRODhH/S31w7uorKwsLperkroP\n",
       "MF+vXr2effbZYcOGddHojGjKxWGMpUuXKpXKbdu2Wboievv5558fPnyosXVpAIlEsnnz5i1btpik\n",
       "NCbrErk4cHI+DocjEAhYLFZHiZ/y8vJwcihSUVHRlClTusPn2N0QBHH48OFvv/1WLBY7OTmR27tA\n",
       "Lo7uoLYWvf8+2r797y2//vrrpk2bTFU+m82WSCSmKg0Yidprp6VNExYWduLECeoW3OCgt3IAIYSQ\n",
       "UqksKiqqqakZNWoUrTdtBEEcPHhw8+bNL7300tGjR6nR2eSgi8NAR48iaho+PMRS3+T6t28jLTcw\n",
       "/v7+t2/fNrB+wHTwXJ7o6Ghy1CBMumEanBfz7t27Hh4etEbn06dPT5ky5fLly0ePHl21ahVOiEYf\n",
       "CNAGSktDL7/894/nzp2bPHmyvoW89hrSMmdwypQpZ86cMah2ACHKqDgqA8pJSUkhCCIhISE3NxeP\n",
       "Gly0aJHJawsMo1Aobt26deXKFRaL9cwzz9CXc/zKlSsxMTF79+7dtWvXxo0be/fuTdOJqCBAG6K1\n",
       "FR0/jqiri4hEohdeeEHfchISkJZOkQkTJmRmZhpSP4AQejIEW4XBpQUHBycYOXQGmFpzc/OlS5fu\n",
       "3bs3aNCgUaNGubm50XEWmUw2d+7cL7/8ksfjCQSCAQMG0HEWjaAP2hAXLiAXFzR8+N9bLl269PXX\n",
       "X+tbzpIl6LPPUFYW0jjRMjAwEA9GBhYnl8vJYS2AOVpaWpydndlsNk2huby8fO3atSUlJZ9//rlF\n",
       "VnqCFrQhhgxB33yDyNtluVw+ZMgQA2YoubujxYuR2pTpv/n6+paVlRlaTYDQkx5kLpeLVyU3oITU\n",
       "1FTqxCsWi5Wammq6CgLDubu7R0ZG0hGd6+vrP//884SEhFmzZonFYkutwwcB2hB+fmjevL9/TE9P\n",
       "nzFjhmFFvfsu0tJKHjdunLXOkjeb2NhYmUyGEBIIBIYl7VJZEoggCFhc0VLa2tpqqTNoaVBXV7d6\n",
       "9eqYmJioqKjz588b0HVpQhCgTeDkyZMGL1IVGIiuXu3wXXyJGFgtAKxLVVVVdnZ2Xl4eTeU3Nzd/\n",
       "+eWX06dPf+aZZ86ePauyGp9FQIDWW0MDamr6+8fW1tbq6mpdJhAaIDIy8qqW+A10gDPDCIVCFotl\n",
       "rTlhrF5LS8vNmzfz8vIcHR0jIyNNXn57e7tQKJw4caKHh8fZs2fnzJnDkJxK8JBQb++/j4YOReR8\n",
       "sT///HPs2LE0ncve3t7BwaGhoYHu4ZZWrPtkhrFKOOHR7du3WSxWSEiIj4+PycsnZ52cPn2aafn7\n",
       "GfEt0bUcP45CQv7+8eTJk8bfChUUoI7WYBk9evSVK1eMLL87g3klXdr9+/cLCwt79uw5atQok0fn\n",
       "AwcOjB8/vqio6Pfff1+1ahXTojOyeAuamu4Sy8/Pt9QDU13I5ai8/Klgev78+VWrVhlZ7KBBKDcX\n",
       "ZWaiSZNU3xo7duzFixfHjx9v5Cm6LYIgoqOjs7KycCYNS1cH6Kd3797Dhg3r27evaYu9cuXKZ599\n",
       "5u3t/csvvwwcONC0hZuQhQM0m83uWrkLTp9Go0cj8ov28ePHtra2xn/xurig119H332nIUCPHj16\n",
       "x44dRpbfzeHczXi8HXR3dC12dnamjc4FBQWfffaZjY3N119/HRwcbMKS6QB90Pq5fFm1+Txu3DiT\n",
       "lMzlomHD0L17SCWruLe3d2VlpUlO0W1xuVyhUMjhcCA6MxxBECUlJY2NjUOHDjV54TKZLDk5GSG0\n",
       "du3aUL1WuLAcDQEaP+yGSVMarVmDqI/rMjIy4qgzvo0QFISmTEGHDqHly1XfGjhwYFlZma+vr0lO\n",
       "1N3g6xk6N5ivvr6+oKDg8ePHJu9rrqqqWr9+fV5e3meffWaqFpV5aHhISBBEWloaTt9l/goxnLf3\n",
       "U8ugZP9/e2cf18SV9fET3kUCIiiCtIgkoIggiKCwVcRqRbRSrdg+2uqyCq27FrrY1rVotWJdq9uC\n",
       "rVqo1VJtrdYXrEoqvqISEcEqIkoSQQTDi7wYIIQEknn+GDuOIWDeMwn3+4cfZpy59yS5+eXOueee\n",
       "U1ioRY/5Tz/BokUKzoeEhFwnp85DqAKGYWi2QXHwhEdFRUXd3d0BAQE+5FV4zaivr09ISFi0aNGC\n",
       "BQvOnDljXOoMvUVxZGRkYBiWlZXVs3AGgkAgENja2mqxWIOzMzg6KjgfHBys0yLfpo3mW70ROkUk\n",
       "EhUVFfH5fFdX1wkTJmgrS5xIJNq2bdsbb7wRGRmZm5trpNNNxQKN571dsmQJngAsNTVVz2ZREzYb\n",
       "WlqeHV6+fFk/wRVBQUEo0k5tNN/qjdApra2tNBotICBg1KhRFhZaWBXr7u7+/vvvp06d6uDgcOnS\n",
       "pYULFxpv0TUFAk2j0WJiYjAMI+oWowLGOMuXAzkxxsWLFyN6Rl1ozK5dIFdhlU6nt7e3owUuhEni\n",
       "4uISEhKilYmzVCrNzMwMDw/HMOzy5cvLly/XiuIbEAUCHRYWRvjsjPS5QBc0NsK9e0B2OBcVFeki\n",
       "ZLu0FP77X/mTDAbj/v37Wu+rP4C2elON7u5usVis3TYxDMN3nbS0tFy4cCE+Pt7S0lK7XRiE5wQa\n",
       "92yw2WxNyk+YKvn5wGTC0KFPD1tbW21sbHQxCFasgMOHQS6yLjg4GHk51APf6o2DVgsNzuPHj69d\n",
       "u1ZSUqLFNs+fP08uQ0XBDYFq85xA42uDYWFhxIBGzg0CNhvIK8D5+fk6erwYMwbCw0EuKmz8+PFF\n",
       "RUW66K5fgZ4IDYhEIiktLS0tLbWystJWmHNRUVF0dPTx48f379+vtzJU+uQ5gcaHL3kGjSbRBNXV\n",
       "QE4pqiMHNE5SEuzaBeQNlQEBATdv3tRRdwiETsG3nxQUFDQ3N/v4+EyYMMHOzk7DNjkczltvvbV7\n",
       "9+4dO3akp6eb6i6B5zzo+HwZLUYp5JdfnjssLCz8/PPPddRXdDRs3AjkfIcDBw7s7OzEMAz9ZCKM\n",
       "jkePHt2/f3/QoEE+Pj6a+x/q6+s3bdp07969DRs2TJo0SSsWKk9HR0ddXZ2Dg4OTk5MeujPuJU5D\n",
       "0dbWZmVlZW1traP2zcxg2TL5k/g6IarlgTA6Bg8e7Ovr6+LiomE7T5482bp165UrV/7zn/9s375d\n",
       "K7YpCYZhjx8/5vP5LS0tZmZmFhYWBhPo9PR0ACgrK8vMzExLS5PLNocAgIKCAt3lgO6NcePG3bx5\n",
       "Ewm08qCnDYpga2ur4cRZKBRu37795MmTH374YWpqqj4/WalUWlVVVVtbK5FIbG1tvby8XF1d9RYi\n",
       "okCgk5KS8Edp/F8k0ACwdy9ERICn59PDS5cu6c4BTYBhcOoUEBXRgoKCcnJy3nzzTV33azIgZ51B\n",
       "wDCMz+dLpdKXX35Z89YkEklmZub+/fvfe++9S5cumZuba96mSgiFwtraWkdHRzc3t0GDBum5d8U7\n",
       "CXk8XlhYmNqN4ptryRj7Ftt166Cy8tnh1atX9eD8amqC+fOhouLpIT6D1nWnCIQmdHR0/PnnnxwO\n",
       "RyKRaNiUWCzesmXL5MmTXVxc2Gz20qVL9aPOEomEnPHY3t4+PDzc19dX/+oMCmfQ8fHxTCYzJycn\n",
       "ISEhLS1NjUZTU1O5XC7xMM7j8ZhMpvFOZ6qqoLb22RaVzs5OmUymh1hLZ2d4/XXYvh3wD8HOzq69\n",
       "vV3XnSIQ6iGTySorK6urq21sbAIDAzWRMwzDjh079r///S86OvrcuXP6qfcmk8lwL/OTJ09Gjhzp\n",
       "4eGhh05fiAKBzsjIwHMzahLVT3aVMhgMTebjBofNhrFjnyWx06cDevVqmDwZ1q4FfEHCzc2Nz+dr\n",
       "PRkjAqEhHR0dd+7cwTOFenl5abLB+syZM5s2bZo0adLJkycdFSYP0zZCoZDP59fV1XV3dw8YMGDk\n",
       "yJHUCdpT4OLA9xNqEgfNZrPJVeB4PB6bnMPC2Lh6Fcj+jLy8PD04oHHGj4fx4yEz8+lhYGAgKvKt\n",
       "f0zPZad1GhoapFLpuHHjfHx81Fbn8+fPT5069dy5c0ePHt28ebN+1LmhoaGwsJDP5w8ePHjcuHET\n",
       "J0708PCgTgYPBXZkZmZq6I7Asx/IndGkQcMydCiMH//ssKCgYNWqVXrrff16IJJwBAUFFRQUREdH\n",
       "6613EwAvp0IcqjG2TcxlpwtGjBgxYsQItW8vKipav369l5fX/v379Tx7dXBwGD16tJOTEzVzdygQ\n",
       "aM3dESZW6D4l5dnfYrG4u7tbP04xnMjIZzsYg4KCdu7cqbeuTQPNJxxgWi47rSCTyTAM03zVrqSk\n",
       "5OOPP/bw8Pj22281kXhlwL3Mzc3N7u7u9L9cltbW1sOGDdNpv5qgQKDxrd7EoSlJreYUFhaGhIQY\n",
       "qncnJ6empiZD9W6kaC6muMuOPIM2aped5jQ1NZWXl9Pp9LFjx6rdSEVFxerVq/HirWPGjNGieT0h\n",
       "e5ltbGyoXMZbDgUCrbkiK/Rcm4bQX7x4UT9J+uXo6IC2NnBxAScnp8bGRq1XoTdhNJ9wKO+ya2xs\n",
       "PHr0KPnMvXv3jEgOXohEIuFyuQ0NDXQ63cvLS+E1Dx48OHr0qJ2d3f/93/8pzLnR0tKyZcuWa9eu\n",
       "ffrpp6+++qpODW5ra+NyuQKBwMzMzNnZGY9lNqIdTIrjoDWEy+WSU+LhKLxSKpVWPE9bWxulpHzt\n",
       "Wrh8+dnhlStXDCLQZ87A9OmAYRAYGIjyjqqEMuOwb8gJS/tOWyqVSh2fx9ramlLjWRPw9bTGxsaR\n",
       "I0eOHz9eYaRpSUnJwoULBw8eLBKJpk+fLhcYKhQKN2/ePHv27NDQ0PPnz+tanQFAIBBIpVIvL6+w\n",
       "sLAxY8Y4OjoakTqDwhk0i8WaNWtWfHw8AMTExKgRbMdgMGJjY1ks1gvv5XA4cqHWt27d0kXFdbX5\n",
       "4QeYOvXp3yKRSM8OaILXXnuaJxoP5JgxY4b+bTBSwsPDNcyai38jwsLC/Pz88PVG8pohGRcXlwUL\n",
       "FpDP5Obmknc9GC8PHjyorKx8YcKj9PT0PXv24C4LS0vLo0ePvvvuuwAgEom2b9+enZ3973//+8qV\n",
       "KzpSSQzDOjo6bG1tifbd3d3d3d110Zd+UCDQeA23rVu3ZmRk4Bu+1WhXyQ3io0ePzng+8/Hy5cup\n",
       "M6CrqqCh4dkWFTabrf/sWTg2NvDvf8OmTXDyZNAvcon1EH2iuYsjNTUVw7D09PRDhw7ht2su+kYH\n",
       "Hu3wwvW01tZWwv/m7Ozc0NDQ3d29Z8+eH3744R//+Mfly5d1FMEmEolwL7NEIgkODibWAI0dnbg4\n",
       "TIZr18DX99kWlXPnzk2bNs1QxsTHQ00NlJQMf/TokaFsMEY0d3HgeHt7x8bGatEw48LR0VGZaIf5\n",
       "8+evXr1aIBDcv39/x44dABAZGQkAly9fjo+P17o6y2Sy+vr6mzdvFhQUVFdX29vb+/v7m4w6g8IZ\n",
       "NLEkkpmZqa34ZSOdcRQUAHnPIJvN/uyzzwxlDJ0OGzdCTQ3Y29u3trba29sbypJ+CI/Hi4qK6j8V\n",
       "s2QyWXV1ta2t7ZAhQ1S68a233uru7l60aFFzc7NQKBQKhTk5OZqn5++Ne/fu1dfX29jYjBw5ctiw\n",
       "YbrLAGwoFAi0LqKYjVGdAWDGDCDCJVpaWmxtbQ07At5/HwDg4cNxxcXFUwnXOKJP5NydaoztrKws\n",
       "8s4UGo3G5XK1YxwlEQgE5eXlQqGwtziNvvHw8BCJRJMnT161apWuw408PDzc3NwcHByMa+lPeaiy\n",
       "o5GazJz57O8LFy5QRBPxArIUMYb6kBU5ISFBjRYYDAa5EZOJyuhJV1cXj8erq6uztbUNCgpycHBQ\n",
       "6fZbt2598sknHh4ee/fu1UquUTKdnZ21tbXt7e2+vr7EBhmDrNjrE3kfdHh4OJFwQO0KmyaZuyA3\n",
       "N5cisRP+/sH5+ZUvvg7RA/Keb4QcAoGgqKiovr7e3d09ODhYJXWuqKhYuHDh5s2bv/rqq4yMDC2q\n",
       "M4ZhTU1NJSUlBQUFVVVVAGAV26v/AAAgAElEQVRm1o9Wzp6bQYeHh6ekpBCONhaLpZ7v2CRzF5SU\n",
       "lPj7+xvaCgCA2lp3FmuNRAJWVoY2xRggP/ziwaMIhVRXV5uZmQUGBqokzXV1dZ999tmDBw82bNig\n",
       "9SyPtbW1Dx486OzstLa29vDwcHV1tbGx0W4XFEfexUFeBomKikpNTVWvXRPIXbB4McyZAwsXAgDc\n",
       "v3/fy8uLIn6uiRPB0rJr27bONWv612BVD2OfGegNPHhZ+UEuEAg2b97MZrPXrVunoy0nAoGATqd7\n",
       "e3sPHjyYIt8+PaOThwUTSDeKYXD6NBCJl3NycmaSHdIGxdwcYmLOb9pkWVdnaFOMAbKnTm2vnUki\n",
       "lUrJew4Uphfu7u6urKwUCoXkkyKRaMuWLTNnzhw/fnxeXp621FksFst1NGrUKD8/Pycnp/6pziAn\n",
       "0HhIPxn1hBUP1CMaweuzaMlgPVFRAQLBsyyjf/zxx2uvvWZQi55jwQLn4cNr1H286S/gmc3Jo9rQ\n",
       "FlEIPp/PZrMrK/tazLh161ZYWNjGjRunTZv2448/AoBMJjtw4EBkZKSVldWFCxcWLFig+buKYVhz\n",
       "c/Pt27evXr2K0p3L8ZyLQ1sPgyaQbjQ/HwIDAd/RKhQKxWIxpfITBQcHe3puNTP7ytCGUBq8NpCR\n",
       "xuDrjo6OjvLy8idPnjg6OvadfDk5OfnYsWPDhw+XSqVTp061trbeuXPntGnTcnNztbIZRCKR1NXV\n",
       "8fl8kUhkZWX10ksvUaeUCUVAYXaKuX4dCLf52bNn9ZDVRSVcXV3b269t325oO4wBpM4EeG6yR48e\n",
       "WVlZjR079oVzDolEgivm0aNHKyoq8vPzWSyWFnedXL9+XSKRDBo0yNPTc8iQIf0qPENJkEArZsWK\n",
       "Zzu8T548mZSUZFBzFDBs2LD6+noXFxdDG0J1NE/+ZTKUlZU1Nja6uLgwGAwrJWKAHBwcfvrppx9/\n",
       "/DEoKGj48OFffPGFdvcE+vn5WVhYmHwssyagnyzFjB4NeA4smUxWVlam64TiahAaGlpYWAgA16/D\n",
       "8ysriOfAk38BQEZGxqxZswxtjiEZOnRoQECAr6+vMup848aN1tbWNWvWiMViPFRDk+wCAoHg3r17\n",
       "5NgBAHBwcEDq3DdoBv0C2Gw2NWMEQ0NDc3Nz58yZk5oKLi6AdmAgXoiSz1scDmft2rUAkJGRMWrU\n",
       "KE167Orqqq+v5/P5QqHQ0tLSw8NDk9b6IUigFcDjgasr4D/tx44dk8vwSxHGjx+PR6mnpUFAACxc\n",
       "CIZLtEdpdJH8yyjo6uqqqqoaMmSI8htPKisr169f39XVlZKSokk5KwDAMKy8vLy+vl4mkw0aNMjX\n",
       "1xd5mdUACbQCYmNhwwaYMwcwDLt69eq2bdsMbZEC7OzsOjs7u7u7PT0tNm6EZcvg9m3QWdYwI8YE\n",
       "YorUoK6ujsfjSaXSwYMHK3N9fX39unXrcIHWyiOjTCYTiURubm5ubm7Ij6E26AdNHoEASkogMBAA\n",
       "ID8/f8KECZSNnw0MDCwpKQGAlSvB1RU2bDC0QQgKIBQKb9y4cffuXTqdHhIS8kKBFggEq1evXrBg\n",
       "wYIFC3Jzc9VWZ6FQKJFIiENzc/PAwEAmk4nUWROQQMtz+TJ4ej5dIfz111/feustQ1vUK5MmTbpy\n",
       "5QoAmJnBiRPw7ruGNohipKenk3N14YnADG2Ubnn06FFRUZFQKPT29vb39x8wYEAfF3d1de3cufO1\n",
       "117z9vZWu0KgVCqtra0tLi4uLCzkcDjqGo5QDBJoec6ehenTAQAkEsmNGze0nv9Fi/ztb38jgnyd\n",
       "nEAzn6EJkpSUhGEYl8tNTU2l0WhZWVkm7+uoqalxcnIKCQkZPnx4H79GMpls3759r7zySldXV15e\n",
       "XlxcnBq1Tjo6OrhcLpvNvnfvnlQqZTKZGq4oInqCfNDylJUBnjT4xIkTs2fPpvKc66WXXqqpqTG0\n",
       "FdQFf1pnMBhsNtvkpRknNDS07wukUukPP/ywZ8+euLi4S5cuKRNvpxChUFhYWGhmZubs7Dx8+PBB\n",
       "gwap1w6ib5BAy5OdDfhz4b59+7799ltDm/MCmExmeXm5j48PcWbFCnB3hzVrDGgU5aBmoKRW6Ojo\n",
       "GDBggJLTiN9++y0tLe31118/e/ashltObG1tAwIC7Ozs1JZ4hDIggZYHz79RXV0tlUqpX7A9IiIi\n",
       "Ly+PLND//CeEh8PYsTBnjgHtogTket7EHyYzlRaLxVwu9/Hjx/7+/k5OTn1ffOHChY0bN4aEhPz+\n",
       "++8vvFgOPGV+XV2ds7MzUTeWRqMpGR+C0AQDCzSfzz958iT5zL1796iQMGXnzp3vvfeeoa14MVOn\n",
       "Tv3kk0/IeejHjIG9e+HddyE/H3x9DWia4TEZLZYDw7BHjx5VVFQAAIPB6Fsoi4uLU1JSXn755Z9+\n",
       "+knVCYdYLK6treXz+WKx2MrKSpmq3gjtYmCBtrKycnR0JJ+xtrY2YDR7WhokJkJnpygvL++LL74w\n",
       "lBnK4+HhUV1djWEY+SH3jTfg+nWIjoabN0HFqnIIqkNUdB02bJiXl1cfHgYOh7Nu3TobG5u0tDTy\n",
       "M5YySCQSDofT2NiIYZijoyOTyXR2dqbyeoypYmCBdnZ2ltunl5ubS04irk9KSmDdOlixAvbs2bN0\n",
       "6VJjGY7jxo27efNmIB65/RebNoGXF/xVWhNhInR1dd28edPCwmLMmDFDhw7t7bLKyspPPvnEzMws\n",
       "JSXFz89PjY46OztFIpG7u/vw4cP7jtVD6BTkg37G8eMwYwZgmHj//v0XLlwwtDnKMnPmzNOnT8sJ\n",
       "NI0G//iHoSxC6ApLS0s/Pz8HB4feouKICoHr16+fNGnSCxuUyWTZ2dlcLjckJGTKlCnEw6u9vf2E\n",
       "CRO0aTpCLVAc9DNycmDmTPjhhx8WL15sRLUpp06devbs2T4uePwYurr0Zg5Ctzg5OSlU5ydPnqxe\n",
       "vTo2NnbBggWnT5/GMGz+/PmzZs367rvvcF/8kSNH5syZM2fOnN9//524a/HixXl5eTY2Np9//rna\n",
       "BUgRugMJ9FMaGuD6dZg8uf2XX35Zvny5oc1RATs7O2tr64aGht4uWLYMFiwAsVifRpkURCVDPZfO\n",
       "kslkDx48uHr1KnkLdU8kEsnOnTtnzpxpYWGxcuVKPz+/ioqK//znP1999dVvv/12+/btvXv3nj9/\n",
       "/ueff87Kytq7d+/u3buvXLkiFAovXbpUW1sbExMzadKkrKwsfL8lglIggX6KRALLlsGuXWs/+ugj\n",
       "owvtjImJkQuGIbNnD1RVwbx50NGhT6NMjYSEBC6Xi2EYhmF6KD7b0tJy/fr1yspKBwcHS0tLhdfI\n",
       "ZLKff/558uTJXV1d3t7eAoGgvr4+NjZ2586d8fHxHh4eAwcO3LRpU3Z29u+//56SkjJ48GBnZ+c1\n",
       "a9YcPHiwsLCwqqrK2dk5MDAwJCTk5Zdf7q0XhAFBAv0Ud3f4+9+vPXz4cO7cuYa2RWViYmKys7N7\n",
       "+18nJ7hwAQQCiIyEpiZ92oVQh87OzpKSkps3b9JotKCgIF9fX7k5e2NjY1FR0f79+318fNatW0ej\n",
       "0f78809LS8tvvvnmX//617Fjx06fPl33V8l3Pp/v4ODg4OBAnKmtrXV2dvbx8YmNjW1oaCgsLGxo\n",
       "aNixY4d6y4kInYIWCZ/S1taWnJx88OBBQxuiDkOGDAGAhoaG3lb2Bw2C3FxYsgSys9Hiocqw2eyE\n",
       "hARfvUSVd3R0FBcXy2QyT0/Pl19+mVi1e/ToUVZWllgslslkx48fb2pqkslkPj4+Z86csbCw+Pvf\n",
       "/074uJycnBwcHE6ePIlhmLOzc2Zm5pdffimTyZKTk6urq2Uy2U8//ZSdnY0n7z98+PCWLVvS09Mj\n",
       "IyPT0tL08AIRKoFm0AAAMpnsnXfeWb9+PRX2yKjHwoUL9+/f38cFtrbw229IndUBw7CYmJikpKSt\n",
       "W7cCAJ53qbeLW55HrKLvn0ajDR06NCQkZMSIEYQ6455iT0/P7u7uzZs3h4SE3Lp1a/ny5Y2NjZaW\n",
       "ljQa7ZNPPrl69Wp1dTUAZGZmhoSEnD59+qWXXmppaVm7dm1XVxeNRvv9998HDhxob29/5swZorTK\n",
       "kCFDtm3bdurUqeTkZKPz7PUH0AwaZDKZh0fZ3LlLqFa6WyXmzZsXGRn54YcfKrmEVVAAISGAClwo\n",
       "CTnrfx8bFEtKSpKTk8ln7t+/P3XqVOU7GjBgAHlTSVtb2/Hjx3NycubNm5eVlUWn01977TU6ne7s\n",
       "7Dx69GjhX8Uoq6qqoqOjV6xY0dHRERwc/Nlnn1VUVLi6ug4dOtTe3t7NzW3o0KHm5uaLFy9W4TUj\n",
       "KEB/F2ixWDx//uq6um3r1hm3A27AgAGTJk06d+6cMj8zMhm8/z7Y2UFWFowcqQfrjBu8LjgA5OTk\n",
       "4EXBw8PDiUSvZPz9/c+cOUM+k5WV1ffGq+bm5ra2NoXF+vCJc1RU1MWLF0+ePHnixInQ0NCQkBDc\n",
       "ozVy5MjOzs6lS5cOHDjwzp07hw8fdnZ2xm+sqanB/V3Dhw+nE9XpEUZIvxbomzdvfvDBBw4OmfPm\n",
       "mfe+LctoWLly5cqVK5URaDMzyM+H5GTw94eNGyExEU2l+yI1NZXL5TIYjISEBADANVpzxGIxj8dr\n",
       "aGgYNGiQnEB///3333zzTX19vZmZ2ZUrV9LS0jZs2HDw4EE3NzdbW9uysrLIyMjBgwcXFxe3tLR0\n",
       "dHSMGzeOHIPh7u7u5uaGCgCaAP1UoBsbGz///PMHDx58993eiAivAwcMbZA28PT0dHV1vXjxYkRE\n",
       "xAsvtrWFXbtg7lxISIC7d1FR8BfAYDAAICMjIyEhAS9Bqwkymayqqurhw4dmZmY+Pj6urq6VlZX7\n",
       "9u3r6uqys7PjcDjXr1+fMWPGwYMHIyMj3d3dY2NjxWLxli1bhELh5s2byT6TgQMH1tTU5OfnBwQE\n",
       "kNPaIHU2DfqdQFdVVX355Zd3795NTk6Ojo6+eBEGDYLISEObpSVSU1Pnz59/7tw5a2trZa6fORPK\n",
       "y6G9Xdd2GT08Ho/QaA2DoDs6Ou7cudPe3k6n0zEMW7duXWlpaXl5+eeff37+/PkbN264uLjw+fxr\n",
       "1679/PPPX3311f3791taWo4fP75jx44pU6bgjchkssePH1dXV7e1tVlYWLi7uytfuhthRPQjgebx\n",
       "eFu2bOHz+StXrvz222/xxbSJE+H8eTCStEgvxsXFJS4u7tNPP1W+ErlE0mpuLm1pAQAoLzfPzraK\n",
       "ixMPGSIDAHNzc3t7e91ZayxkZWUxmUxibRA/VLu15ubm7u7uu3fvHjhwoKGhwczMLCIi4r333tu1\n",
       "a1dzczOdTpdKpW+++WZNTY2/v//EiRN37Njx9ttvv/fee4Q6P3ny5M6dOxKJZMCAAUwm09XV1Ryl\n",
       "xTJRdCLQxKIKAbG6YhD4fP769etra2vXrFkjl0HGxgYon5RfNeLi4v71r399+eWXH3/8cc//7erq\n",
       "unDhApvNLioqEggEVlZWtra2RLqyzk7HoqKEbdvGeHhcZjBYVlYckUjU2dk5YMCAwMDAqKioV155\n",
       "RY3idcYOg8EgR27IHSoJfguNRmtubk5PTz99+nRqaurBgwcPHz4cGhrq6OhYW1uLBykfOHBAKpUW\n",
       "FRUlJSWVl5cXFha6urqSm+rq6qLT6W5ubk5OTsaScxGhHjr5shGLKvghj8cjT0D0SVdX1zfffHPk\n",
       "yJHU1FSVop2Mmu3bt3/66adz585NTEwMCAjAMOzhw4f5+fmnT58WiURTpkwJDw9PTk7ubX3/9m3Y\n",
       "suXVQ4de/ec/4euvAQC6urrYbPYff/yRkpIyd+7cZcuWoWoayoNhWGJiYnFx8cOHDzs7O8Vi8YQJ\n",
       "E+bNm/fw4cO6urpz5841Nzf/8ssvI0aMsLGxWbRo0ZdffllbWxscHJycnDx69Ghzc/PW1lY6nU5o\n",
       "8ZAhQ/BADoTJo6vZEKHO+N8GKQpXXFy8cuXKt99++9KlSz2fAXftAgB4/33926VzzMzMNm/eXF5e\n",
       "vn///u+++87MzMzNzS04OPjHH38kIrH6YOxY2L8ftm4F3O8BAJaWlu7uU774YopU2n3kyJHXX389\n",
       "Ojr6ww8/NKKcfwbk66+/ptPpcXFxt27dampqotFoYWFhW7Zs2bFjx65du5KTkwcPHjx27Fg+nz9u\n",
       "3LjQ0NCzZ8/6+fkdPnzY0tKytra2pqZGJBIFBgaiwqz9EJ0INJvNJhZVAIDH47HZbF101BtisXjj\n",
       "xo0FBQX79u3z8vLqeUFZGaxaBXl5+jRK3/j4+GzcuFHt211dgXiw7u6GiAgwM4PXX7eYNWvhqVNv\n",
       "HjmS9eqrr65evXr27NnaMdd0aW9vX7Vq1dq1a9euXSuTyXbv3h0XFycUCpctW2ZhYTFq1KiFCxf+\n",
       "7W9/GzNmDHGLSCSqqampra3t7u6m0+m+vr5InfsnOonFycnJYTKZRG5GJpOZk5Oji44UUlxcPH36\n",
       "9GHDhuXm5ipU59ZWePtt+OADCA7Wm1HGjYUF8Hjw3XcglcIHH8DQoeZhYXGnTp3Kzs5+5513iCw8\n",
       "CIWYm5tfu3YtLi5u3759YrG4paVl6dKl/v7+Pj4+R48ePX/+fEJCAlmdGxoarl27VlNT4+joGBQU\n",
       "FBwcTOzMRvQ3dDKDJu+L1SfNzc2fffZZbW3tr7/+6ubmpvCa7m6IjQU3N0DZyVXC2hqiogBf6K2r\n",
       "gyFDwNzcYffu3bt332Uy27y9mxYtGjVxormvL6Cpnhzz588/efIknU4vLy/ncrkTJ058+PDhwoUL\n",
       "Z8yYMVLRPk4bGxsPDw9XV1fkQUKYSBSHQCD4/vvvjxw5snbtWrmu5WhsBDc3+PprVK9PfcjFnZcu\n",
       "He3kJMvMvLVxY4GZWSCG2fL5gAtLdTXcuAEjRoC7Ozg5GcpYw1NcXBwZGXn16tXc3FxPT0+JREKe\n",
       "PUgkksePH7u4uBDhMfb29ii6EYFj9FEcJSUlWVlZFy9e/OCDD/Ly8l6YkWvYMNizRxeG9FMsLOCN\n",
       "N8zeeCOwo6Pj22+/PXo0d9OmSYsXL/bx8eFyYc0aqKwEkQgsLeGVV+DsWdMJOVee27dvh4eHHzt2\n",
       "7KWXXiKfb29vr66ubmhokMlkdDodiTKiJ0YWxdHV1dXU1MTj8e7evXv16lUOhzNq1KhFixZt3bq1\n",
       "597WBw+gsRFu34aLF+HaNSgthf4Xwqs/bG1tP/744w8//PDUqVMbNmyoqKgYN27cqlWhTCbTyckH\n",
       "YIhQ2B/VGQA2b94cFxdHHGIY1tjYWFNT8+TJE3Nz82HDhrm7uw8cONCAFiIoi4GjOMrKyhITE8ln\n",
       "ysvLIyIiuru7iTOnTrXHxpph2FP9tbCwWbHiSkDA8I8++ojPZ771lsXRo0+vtLWFW7e68S2v+fm0\n",
       "iAhzZ2fw88PGj8f27MEAMFKrCJ1Ao9Fmz549e/ZsqVTK4XCKiopOnTr18OGu1tbW1tZWOzs7CwuL\n",
       "AwcOkB90TH4XnNxekkePHnG5XGtr65EjR7q5uaFCU4g+0IlA41EccmcUXunr66swPSN5u9qMGYPI\n",
       "8m5mBoGBq/G/R4yAP/549l92duDk9PTGKVPgL58KDaBfztwMioWFxdixY8eOHfvCK6VSqR7soQ7O\n",
       "zs42NjZoEyBCGYwgimPAABg/XuX/QiCoiY2NDQrPQCiJnnIS6qEKMgKBQJgYelo1U1h+ojeKiors\n",
       "7Ox0ZwyZc+fO2dra6qcvlWhsbFRmW7b+EQgEM2fO1GKDpaWlQUFBWmyQaig5npuamoqLizUsgKLq\n",
       "sJHJZE+ePFEps4pYLMbzVqtu3TNM2M6SkhItjmfKhTVMmzYN322ln+5OnDgRScls0GfOnJk+fbqh\n",
       "rVDAuXPnQkJCtOg/jYiIMEiqFv2g/Hi+ceNGcXExeUuhqmAYdvbsWZWGTWtr6927d0NDQ5W/paam\n",
       "prW1VZMa5zKZ7MKFC9OmTVP+FoFAUF5eHhISovwt1dXVQqFw1KhRqhv4FKlUmpeXp5I+PHnypL29\n",
       "XZvjGdMBPZcEc3JydNGR5kRERBjaBMVQ1rDIyEipVGpoK0yQnJyc//73v5q0IJPJpk6dqtIt9+7d\n",
       "S0hIUOmWEydObN26VaVb5JBIJNOnT1fpljt37qxYsUKlW44dO/b111+rdIscIpFo5syZKt1SUlKy\n",
       "cuVKTTqVw+g3qiAQCISpoqtFQiqkG0UgEAijRicCjW9UIQ71n24UgUAgTAADb1RBIBAIRG/Q+rlr\n",
       "uLi4eDwl97ogw/obzc3NAoHA09NTk0ZU/XTEYjGXy/Xz81P+lqampra2thEjRqhsHAlV7ezs7Lx/\n",
       "/75KIS6NjY1CodDDw0N1656CYdiff/6pUsycSCSqrKzUJMRFjv4u0AgEAkFZ9LSTEIFAIBCqggQa\n",
       "gUAgKAoSaAQCgaAoSKARCASCoiCBRiAQCIqCBBqBQCAoChJoBAKBoCj9TqDDw8NpNBqNRiNqCCQk\n",
       "JOBnyNvTqWabYc0jzGCxWHJnDP6mmQY9P3pV0elQ0fxb09M8LQ4hZczT7oglp9tVpi+1e+9fAs1i\n",
       "sfz8/PA8fn5+fiwWi8VilZaWYhiWk5OzZMkSStkGAKWlpVwuFz9Jzj+lZ8Pgr7S0s2bNws9Q5E0z\n",
       "DRR+9Kqiu6GilW+NnHlaHELKmKfd7sjqrExfmvTef3cSpqene3t7czgcAMAri9NoVHk3cNuioqLC\n",
       "w8PxPFPx8fEZGRmGtuvpW5Seng7Ue9NMA+KjV/VG/QwVtb81cubpaAj1Zp4Wu0tPT09MTAwPD8er\n",
       "RPVsWZkzynfXv2bQBCwWq6ysDP8aeHt74ycpkhOVsI3FYrHZbHxq4Ovrq97ESlvgz2hpaWn4IdXe\n",
       "NNOAPCxVvVEPQ0Xtb41C87Q+hPo2T1vd4TpLRpm+1O69Pwp0QkJCdnY2McvAf28BgAo5Ucm2kYuj\n",
       "E/MCQ5GRkYEbg08HKPWmmQZyw1Il9DBUNPnWKDRPu0PohebpbsQq05favfc7gQ4PD4+JiSE+SG9v\n",
       "70OHDgEAi8Uy+GRQzjYWi4WrIQBwOBziR1jPkM3AodSbZhrIffSqouuhouG3pqd52h1CLzRPdyNW\n",
       "mb406l29SllGSnx8PPm1p6WlkU8SixgUtA0/NLht8fHxcmcM+6aZBgo/erUb0fpQ0cq3pqd52hpC\n",
       "Spqn3REbFhbW04A++lK7d7TCg0AgEBSl37k4EAgEwlhAAo1AIBAUBQk0AoFAUBQk0AgEAkFRkEAj\n",
       "EAgERUECjUAgEBQFCTQCgUBQFCTQCAQCQVGQQCMQCARFQQKNQCAQFAUJNAKBQFAUJNAIBAJBUZBA\n",
       "IxAIBEVBAo1AIBAUBQk0AoFAUBSjF2gejydXAl35gmxELXTilp712/vul0Cu5ojyBvRRhp38uuSu\n",
       "x7vj8XgJCQnq9auwCHx6enrPF9XzYuJdIl618u8bQkfIDcg+BoZ6Y1VhL8p83D2HcU96fhF4PJ4m\n",
       "dsrRsyqQsWD0Ag0AYWFhaugULsp42YJZs2aBovrtL+yXKHxw6NChPqRWPfqopYBX0FGPPorAJyYm\n",
       "kutEJCYm9rw4PT2deJfKysrwKvcqvW8IHUHUu8EwrLS0tLcBqcnggeeHfWxs7AuFT72SIEuWLOlZ\n",
       "nlVtoqKiNHzVhsIUBNrPz6+3SsYKp4Q4UVFRciXgyGd8fX1VtYHBYABpvon/ZvB4vJ6zS+Ia/JA4\n",
       "T8xS8TPEBXLXJyQksNls4jdJ4VymjxfO4XBiY2Px19tbCcuEhISPPvoIAJhMJvk19nxzOByOJu8b\n",
       "QtcQg4d4HsIHD/nxCz9MT0/Hx6rCQatSL0RToGgYk/slD2wCHo+HDzbigZiwVq6jns0SXbNYLPw8\n",
       "3kJsbKwxTh1MQaABIDExEZ8F9zxPLvDV8zcZ/3TT0tLIJ8n12/uAzWYTCpiZmQkAuLz2nMLgZ/AL\n",
       "yDN3/C586OAFJblcLovFwgWUMEbu+oyMjLCwMFwTMzMzyY0r+cL7LgKP94j/3jAYjJSUFBqNlpqa\n",
       "iveYmJh46NAhhd8rJd83hI7IzMwkBiQ+YyAPHgBgsVjkwdMT/EkI/1vhuILnh/2hQ4fwxyy5XuSa\n",
       "gueHMX7Yc2ATcLlc/Jf+o48+ys7OBoBTp07FxMT0bEThNw7vOjs7Gy8AiE8yoqOj8aaMCxMRaADI\n",
       "ycnp6ejoYyKJk5GRgX/Y5B9kcv32PpArHMlisRgMhq+vL94XMTklJp74HxwOJyYmBj+Dl5LEhw6H\n",
       "w0lJScnOzs7Ozo6OjiZ66Xk9GeIM0YsyL7zvIvDZ2dn49BlvJzs7G8OwrKwsQpHz8/PxV02eLyv/\n",
       "viF0BOHiICSYw+EQqp2UlER87r1BfKByg5YMedjn5+f31ovcsxR5GMfExHA4nD4GNlGYnMFglJaW\n",
       "AkBSUlJUVFTPjhR+4whxZzKZNBrt1KlTKryJFMN0BBqfuMn9FPcxkVS4biBXv11V8AaJL4nCa7y9\n",
       "vYlfcnzw4aOQPPfEZ6+9Xa8MfbzwFxaBLy0tJRuAD3fiDIvFIn4Ik5KS8N8SDd83hHZJSUnBPyNv\n",
       "b29ykW+5ByliOMl9a1Sl716Ia4hhnJ2d7e3t3cfA9vb2Jn5LYmNjExIS8Gfcnh318Y1jMBgYhnG5\n",
       "XHy0c7lcTV6joTAdgQYAlQQiKiqqrKwM/+0tKytLTEzE3XOzZs3qbbotB/lZD28wOjo6KSmJeMZU\n",
       "OCZwFZZzEZB9GnJTD4XXs9lsteMloqKi/Pz8aDTarFmzsrKy8JNEa4T7D4fs0MjJyZGzJycnh8Fg\n",
       "qPq+IXQN/hmlp6eTBznhjcUHD/6Li5/v+WSmanc9e1FoEvnLonBg4zCZzLKyMvzvxMTEzMxMfB7Q\n",
       "s6M+vnG495LJZKakpMDzU3gjgoaptcaKQCAQuiM8PBz3n/B4vCVLluB/a6VB48LC0AYgEAiEPFlZ\n",
       "WfijWFJSkubeCbmFdyMCzaARCASCopiUDxqBQCBMCSTQCAQCQVGQQCMQCARFQQKNQCAQFAUJNAKB\n",
       "QFAUJNAIBAJBUZBAI/AdG/MAAAA2SURBVBAIBEVBAo1AIBAUBQk0AoFAUBQk0AgEAkFRkEAjEAgE\n",
       "RUECjUAgEBQFCTQCgUBQlP8HHZ4KRyK9fDcAAAAASUVORK5CYII=\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for t in tipos:\n",
    "    for m in metodos:\n",
    "        print('tipo de ajuste: ', t)\n",
    "        print('método de ajuste: ', m)\n",
    "        res = fevd(max_y.values, method = m, type = t)\n",
    "        if m == \"Bayesian\":\n",
    "            print(res.rx('results')[0][-1][0:-2])\n",
    "        elif m == \"Lmoments\":\n",
    "            print(res.rx('results')[0])\n",
    "        else:\n",
    "            print(res.rx('results')[0].rx('par')[0][:])\n",
    "        %R -i res plot.fevd(res)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Comentarios finales"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Espero que este microtutorial os valga, al menos, para conocer rpy2 y la potencia que os puede llegar a aportar a vuestros análisis 'pythónicos'. Como resumen:\n",
    "\n",
    "* Tenemos en nuestras manos una herramienta muy poderosa.\n",
    "* Rpy2 puede estar poco madura en algún aspecto aunque ha mejorado bastante con respecto a alguna versión de rpy2 que usé anteriormente.\n",
    "* También podéis usar directamente [R como kernel](https://github.com/IRkernel/IRkernel), aunque perdéis la interacción con Python. También puede ocurrir que la instalación os haga perder mucho el tiempo [para poder hacerlo funcionar](https://github.com/IRkernel/IRkernel/issues/54) si os veis obligados a usarlo desde windows.\n",
    "* En la elaboración de este microtutorial la consola de R donde iba haciendo algunas pruebas simples se me ha 'roto' muchísimas más veces de las que consideraría aceptables. No se puede quedar colgada, cerrar,..., seis o siete veces en media hora una consola haciendo cosas simples. Eso hace que si quieres usar R de forma interactiva debas usar alternativas como Jupyter, RStudio u otros que desconozco ya que la consola oficial no está 'ni pa pipas' (por lo menos en Windows, el sistema operativo con más usuarios potenciales, mal que me pese).\n",
    "* Sigo manteniendo muchas reservas respecto a R como Lenguaje de Programación (en mayúsculas) por lo que si puedo limitar su uso a alguna librería especializada que necesito y a la que pueda acceder con rpy2 es lo que seguiré haciendo (*[If you are using R and you think you're in hell, this is a map for you](http://www.burns-stat.com/pages/Tutor/R_inferno.pdf).*)"
   ]
  }
 ],
 "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": "3.4.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}