{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "preamble": true
   },
   "source": [
    "(Defining latex commands: not to be shown...)\n",
    "$$\n",
    "\\newcommand{\\norm}[1]{\\left \\| #1 \\right \\|}\n",
    "\\DeclareMathOperator{\\minimize}{minimize}\n",
    "\\DeclareMathOperator{\\maximize}{maximize}\n",
    "\\newcommand{\\real}{\\mathbb{R}}\n",
    "\\newcommand{\\blasso}{\\beta^{\\mathrm{LASSO}}}\n",
    "\\newcommand{\\bzero}{\\beta^0}\n",
    "\\newcommand{\\bLS}{\\hat{\\beta}^{\\mathrm{LS}}}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exercise 1 (50 points)\n",
    "\n",
    "Consider the following three-dimensional\n",
    "datapoints:\n",
    "\n",
    "> (1.3,1.6,2.8), (4.3,-.4,5.8), (-0.6,3.7,0.7), (-0.4,.32,5.8),(3.3,-0.4,4.3), (-0.4,3.1,0.9)\n",
    "\n",
    "Perform principal component analysis by:\n",
    "\n",
    "+ Calculating the mean, $\\mathbf{c}$, of the data.\n",
    "+ Calculating the covariance matrix $\\Sigma=\\frac{1}{6}\\sum_{n=1}^6 \\mathbf{x}(\\mathbf{x})^T - \\mathbf{c}\\mathbf{c}^T$.\n",
    "+ Finding the eigenvalues and eigenvectors $\\mathbf{e}_i$ of the covariance matrix.\n",
    "+ You should find that only two eigenvalues are large, and therefore that the data can be well represented using two components only. Let $\\mathbf{e}_1$ and $\\mathbf{e}_2$ be the two eigenvectors with largest eigenvalues. Calculate the two-dimensional representation of each datapoint $(\\mathbf{e}_1^T(\\mathbf{x}^n-\\mathbf{c}),\\mathbf{e}_2^T(\\mathbf{x}^n-\\mathbf{c})), n=1,\\dots,6$ \n",
    "+ Calculate the reconstruction of each datapoint $\\mathbf{c}+(\\mathbf{e}_1^T(\\mathbf{x}^n-\\mathbf{c}))\\mathbf{e}_1\n",
    "+(\\mathbf{e}_2^T(\\mathbf{x}^n-\\mathbf{c}))\\mathbf{e}_2,\n",
    "n=1,\\dots,6$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exercise 2(50 points)\n",
    "\n",
    "In this exercise you will use PCA to perform a classification task. The data you will be using is a collection of face images and your task is to implement a classifer that can assign the correct name to each photo. You will be using the Scikit Learn library to find the right parameterization of the model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "from __future__ import print_function\n",
    "\n",
    "from time import time\n",
    "import logging\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from sklearn.cross_validation import train_test_split\n",
    "from sklearn.datasets import fetch_lfw_people\n",
    "from sklearn.grid_search import GridSearchCV\n",
    "from sklearn.metrics import classification_report\n",
    "from sklearn.metrics import confusion_matrix\n",
    "from sklearn.svm import SVC\n",
    "from numpy import linalg\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loading the data\n",
    "\n",
    "Since you will be using one of Scikit Learn datasets, the library can download data for you. Assuming you have internet access, running the following code will load the data into variables you can use later."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total dataset size:\n",
      "n_samples: 1288\n",
      "n_features: 1850\n",
      "n_classes: 7\n"
     ]
    }
   ],
   "source": [
    "logging.basicConfig(level=logging.INFO, format='%(asctime)s %(message)s')\n",
    "\n",
    "\n",
    "###############################################################################\n",
    "# Download the data, if not already on disk and load it as numpy arrays\n",
    "\n",
    "lfw_people = fetch_lfw_people(min_faces_per_person=70, resize=0.4)\n",
    "\n",
    "# introspect the image arrays to find the shapes (for plotting)\n",
    "n_samples, h, w = lfw_people.images.shape\n",
    "\n",
    "# for machine learning we use the data directly (as relative pixel\n",
    "# positions info is ignored by this model)\n",
    "X = lfw_people.data\n",
    "n_features = X.shape[1]\n",
    "\n",
    "# the label to predict is the id of the person\n",
    "y = lfw_people.target\n",
    "target_names = lfw_people.target_names\n",
    "n_classes = target_names.shape[0]\n",
    "\n",
    "print(\"Total dataset size:\")\n",
    "print(\"n_samples: %d\" % n_samples)\n",
    "print(\"n_features: %d\" % n_features)\n",
    "print(\"n_classes: %d\" % n_classes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Split into a training set and a test set using a stratified k fold\n",
    "\n",
    "The next step is to split the data into trainning and test data. This will be useful for evaluation of the model you train later."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# split into a training and testing set\n",
    "X_train, X_test, y_train, y_test = train_test_split(\n",
    "    X, y, test_size=0.25)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Compute PCA\n",
    "\n",
    "The first part of the assignment is implementing the PCA algorithm. Implement this algorithm in the ```PCAtrain``` function below. The function should return four values: Principle vectors and singular values, mean and standard deviation of input features. PCA should consume the normalized features, i.e. mean 0 and standard deviation 1 for every input feature. You can do this by subtracting the mean and dividing by standard deviation across every feature column. Make sure you will use the same statistic for both training and test set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def normalize(data):\n",
    "    mean=np.mean(data)\n",
    "    std=np.std(data)\n",
    "    return (data-mean)/std\n",
    "    \n",
    "def PCA(X_normalized):\n",
    "    cov=1/float(np.shape(X_normalized)[0])*X_normalized.dot(X_normalized.T)\n",
    "    return np.linalg.eig(cov)\n",
    "\n",
    "def PCAtrain(Xtrain):\n",
    "    mean=np.mean(Xtrain)\n",
    "    std=np.std(Xtrain)\n",
    "    singular_values,pc_vectors=PCA(normalize(X_train))\n",
    "    return pc_vectors, singular_values, mean, std\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Having implemented PCA you can now use it to find principle components. In the next cell implement a code that plots the cumulative distribution of singular values and find how many principle components you should use to cover $95\\%$ of the variation in input. You should call the ```PCAtrain``` function implemented earlier."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of components covering 0.95 of variance: 103\n"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEACAYAAABcXmojAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAHVRJREFUeJzt3X+QVeWd5/H3R34JgiJqUH4YHMVdgSQTScTsrrGTMQg9\n",
       "WXFra9DaaNz4I1XLTDCzszFgNoHZqZ2YzE426qypGhMUTGSWcbIu1hIiOmljaqJtEjVgywgahG6l\n",
       "NWpUVKSB7/5xTp8+XK5039u37z3N/byqLM957rnnPvcp+n7P83yf5xxFBGZmZgDHNLoCZmZWHA4K\n",
       "ZmaWcVAwM7OMg4KZmWUcFMzMLOOgYGZmmSMGBUnTJf1E0lOStkhampZPkrRJ0jOS7pc0Mfee5ZK2\n",
       "SdoqaX6ufK6kzelrNw/dVzIzs2r111PoAf40ImYD5wN/LOkcYBmwKSLOBh5M95E0C7gMmAUsAG6T\n",
       "pPRc3wGuiYiZwExJC2r+bczMbFCOGBQiYndEPJFu7wGeBqYClwCr08NWA5em24uAtRHRExE7gO3A\n",
       "PEmnARMioj09bk3uPWZmVhADzilImgF8GHgUmBwR3elL3cDkdHsK0Jl7WydJECkt70rLzcysQAYU\n",
       "FCSNB/4BuD4i3sy/Fsl9MnyvDDOzo8DI/g6QNIokINwVEfemxd2STo2I3enQ0EtpeRcwPff2aSQ9\n",
       "hK50O1/eVeazHFzMzKoQEer/qP4dMSikSeLvAR0R8e3cS+uBq4BvpP+/N1d+t6RvkQwPzQTaIyIk\n",
       "vSFpHtAOXAncUu4za/XFhjtJKyNiZaPrUQRuiz5uiz5uiz61vKDur6fwr4ErgF9LejwtWw7cBKyT\n",
       "dA2wA1gMEBEdktYBHcB+YEn03YZ1CXAnMBbYEBEba/UlzMysNo4YFCLiZ7x33uGi93jPXwJ/Wab8\n",
       "l8AHKq2gmZnVj1c0F1dboytQIG2NrkCBtDW6AgXS1ugKHI1UpIfsSArnFMzMKlPL3073FMzMLOOg\n",
       "YGZmGQcFMzPLOCiYmVnGQcHMzDIOCmZmlnFQMDOzjIOCmZllHBTMzCzjoGBmZhkHBTMzyzgomJlZ\n",
       "pt8nr5kV1Wzp++PgcmDESJIHeNjAuL0qU8/2OhkYD7wJB3fB2qcirqjTRwMOClal/A9yIz5/L8kf\n",
       "DyRPbdoLjG5ERYYht1dl6tleZwO39+0ecx18ZrZEPQODb53dROZIrWPgb4+BKUDV7bwXmFS7alVl\n",
       "HH1XNOOAtxtYl+HG7VWZerbXfWXKFsK+H0WMOdL7avnb6Z7CMDZHWnEsfFnJxcwRHQAmUpvL+pNp\n",
       "/D+c43LbxzKICNeE3F6VaXR7ja9zb7zRf9v2Hvr7wd8HnFTB+fJX1oN1XP+HDLm3ctuBr3wr4faq\n",
       "TKPba09yTVc3/f5OSFoF/CHwUkR8IC07D/gbYBRJ/mVJRDyWvrYcuJrkiyyNiPvT8rnAnSSBd0NE\n",
       "XF/zbzOMHGkoZyA/+JVerR9L7S433ur/kCE3C3gk3e4hGdIqzkBosbm9KlPP9rqOQ3IKXAvshL+v\n",
       "w0dn+s0pSLoA2AOsyQWFNuDrEfFjSQuBGyLiE5JmAXcDHwWmAg8AMyMiJLUDfxIR7ZI2ALdExMaS\n",
       "zzoqcwqlSdkDJFfu7/UjPZ7+5wqPo7Iu7TvAwQqOP5L8D3KjnE2S1/gJyR+rZ9NUxu1VmUbMPtoD\n",
       "B3cOcPZRXXMKEfGwpBklxS8CJ6TbE4GudHsRsDYieoAdkrYD8yQ9D0yIiPb0uDXApcAhQeFoUBoA\n",
       "8rNkevU3lHNS+r4jqfRq/QDJP+p3K3xfOa8C59P3g9wIT5C06/up7I/HzI6s2mHmZcDPJP0Pkova\n",
       "j6XlUzj0IrKTpMfQk2736krLh718ECgXAMoN8/Q3lPMO/Y9hjgZeYeA/ymNJovfrJD/qg+EfZLOj\n",
       "V7VB4Xsk+YL/I+mPgFXAp2pXreLKJ4BLg0C5AFAuKdvfUM5CYB1H/sE/hWT4pJskB9Gft0kCwokk\n",
       "P+Zvwrtd8PUtEX8+gLebWZOoNiicFxEXpdv3AN9Nt7uA6bnjppH0ELrS7Xx5F2VIWpnbbYuItirr\n",
       "WDO9vYF9MCKfAC4NAuUCQLlhnv6Gch4HFgM/4L1/8J9PP28SSbb/dXihG67bErHhvb+JmR0NJLUA\n",
       "LUNy7oEsXktzCvflEs2/Av40Ih6S9AfATRHx0Vyi+Tz6Es1npYnmR4GlQDvw/yh4orm3R/AujO1d\n",
       "qFWaCygNAuUCQLmk7FjgeI48lFNNssnMmlNdE82S1gIXAidL2gV8Dfg88L8kjSEZDfk8QER0SFoH\n",
       "dNA3VbU36iwhmZI6lmRKaiGTzLOl74+Ey09Kh/1P4dCVs/lWLw0C5QJAuaSsh3LMrKh8mwv61gzs\n",
       "gymTQPkeQb430F8QKJ0m2ctX/WY2lGr529n0QWG29I8nwidG0Dc8lO8R5ANB6YyfckHAAcDM6s1B\n",
       "oQZmS98fAZdPTW+7DH29gnwgyPcGTiGZNZSf8eMgYGaN5qAwCHOkFcfAV06EUeNIftB71wz0BoN8\n",
       "j6C0N3AcMAHP+DGz4nBQqNJs6cmT4YO9w0THceiagd5eQWmPINcbiJ1wt3sDZlYkDgoV6u0dTIVR\n",
       "vcEAkp5Bfs1AvlcwDvcIzGx4cFCoQL53cDxJArl3mGgW8CSHrhnIPQovdrlXYGbDgIPCAM2Wnjsd\n",
       "zujtHeSDwSP09Qx+RnJ3v3Ekz0Xtgv/mNQNmNlw4KPRjjtQqWDcNjsv3DnoTyDPpGyY6iaxnwC74\n",
       "gXsGZjbcOCgcwRxpxUT46gQYcQKH9g6epS+BfAJJ72EPsBN+8lTEJwfzuWZmjVLLoNDfs1yGlTnS\n",
       "iqmw4sRcQBhN0gt4FTgT+B1JL+FY4BV4Zxf8oQOCmVniqOkpzJFap8H6CTBiBElAcO/AzJqBewpl\n",
       "vA/+bgKM2EdfQHDvwMysMtU+T6FQZktP/guYsI/kEW/7SQLCJJLbtb4PeAN4Dn7zVMTvNa6mZmbF\n",
       "NuyDwmzp+6fDBw+QBIRjSb7UTpKn+BxHsgZhJ/z6qYgPNa6mZmbFN6yHj+ZIK06Hz5zAoQHhAEmC\n",
       "eQLJUFKaP3BAMDPrx7ANCnOk1qnwX48n+eH/NH0BYR/ZQjSed0LZzGzAhm1QOBVuPh5Gvk2SVH6c\n",
       "5IGlo0gWpO0Bnk+GjBwQzMwGaFgGhTlS6wlw5j6SYaLXSZLKP0pffwnYBa97yMjMrDLDMtH8Prhr\n",
       "P6iH5AZ2L5FMOz0J2Avsg4MH4T80so5mZsNRvz0FSaskdUvaXFL+BUlPS9oi6Ru58uWStknaKml+\n",
       "rnyupM3pazdXW+H0NhaT9pMklt8k6SWI5CE4e4AXYa1vc21mVrl+VzRLuoDkt3ZNRHwgLfsEcCPQ\n",
       "GhE9kk6JiJclzQLuBj4KTAUeAGZGREhqB/4kItolbQBuiYiNJZ/V76q8i6W9x8KYU0iCwO/oSyzv\n",
       "AXZD1y8jplXaEGZmw1VdVzRHxMPAayXF/wn4ekT0pMe8nJYvAtZGRE9E7AC2A/MknQZMiIj29Lg1\n",
       "wKWVVnaOtOJ4GNNDEhAgSTLPJbkN9kg4+C58vtLzmplZotpE80zg45IekdQm6SNp+RSgM3dcJ0mP\n",
       "obS8Ky2vyDS4YS/J9NM3SYaMtgO/IZl9tN3DRmZmg1JtonkkcGJEnC/po8A6oCa3j5C0MrfbFhFt\n",
       "kMw4OgfGHQR+TTL99KckeYWXgS74rZ+FYGbNQFILyc9gzVUbFDqBHwJExGOSDko6maQHMD133LT0\n",
       "2K50O1/eVe7EEbGyXPlk+O5e4EvAt+kLCOlsI/bDVVV+FzOzYSW9WG7r3Ze0olbnrnb46F7gk2ll\n",
       "zgZGR8RvgfXA5ZJGSzqDZJipPSJ2A29ImidJwJXpOQYkXZdw2miSLPYX0xPPAN4FXoUuDxuZmQ1e\n",
       "vz0FSWuBC4GTJO0CvgasAlal01T3AZ8FiIgOSetIbk66H1gSfdOblgB3AmOBDaUzj45kCvzFAeDP\n",
       "SHoJt9HXS9gDOLlsZlYbw+IhO/9OevtdGPth4GJgEzACeBrYCW/9PGJ8natqZlYYtZySWvgVzXOk\n",
       "1vfD2E+TDKAdQxIQem+V/Sb8VQOrZ2Z2VCl8T2G+9MtRcO7vk8xh7U0wvwLshr2PRYxtQFXNzAqj\n",
       "qXoKx8E5JwG7SXoJ/5Kkl3AM8DpsaWTdzMyONoW+S+ocqbUHxn62zGuvAa9CzaZhmZlZwYPCdFga\n",
       "wI85dBHCM0A3vO1pqGZmtVXo4aOxMGUSydBR74yjAyTPXR6ZTHs1M7MaKnRP4W04s9zQ0atw0ENH\n",
       "Zma1V9igMEdqBY4tN3T0Kuz10JGZWe0VNihMh6UT4Zj8YrUDwB8DxyeLmc3MrMYKm1MYC1PGkySZ\n",
       "/3uu/EbgDXiuMbUyMzu6FTYovA3v/yKwGvgqfT2FDucTzMyGTGGHjw7CKOcTzMzqq5BBYY7UOgbG\n",
       "OJ9gZlZfhRw+mg5LJ8MxzieYmdVXIYPCWJjyWQ7PJzwNPc4nmJkNnUIGhXfgtI+n25ty5a/51hZm\n",
       "ZkOqkDmFHtjzFeDjwF8AK0l6CiOT++CZmdkQKWRPYSRMuphDh44WAI+Dn7BmZjaEChcU5kitp8OY\n",
       "cknmA/Big6plZtYU+h0+krRKUrekzWVe+zNJByVNypUtl7RN0lZJ83PlcyVtTl+7+b0+bzosPTed\n",
       "jvpVkqGjr5L0FEZCV2Vfz8zMKjGQnsIdwK3AmnyhpOnAp4Dnc2WzgMuAWSRPz3xA0sxInvn5HeCa\n",
       "iGiXtEHSgojYWPphY2HKfA6/vcXVsG9nUg8zMxsi/QaFiHhY0owyL30LuAH4v7myRcDaiOgBdkja\n",
       "DsyT9DwwISLa0+PWAJcChwWF/MyjfE7hOXjHM4/MzIZWVbOPJC0COiPi1yUvTQE6c/udJD2G0vKu\n",
       "tPwwB+DFcjOPRsPOaupqZmYDV3GiWdI4krzvp/LFtarQP8PJU0mCwu8B00nyCb+AfbX6DDOz4UxS\n",
       "C9AyFOeuZvbRmcAM4ElJANOAX0qaR9IDmJ47dhpJD6Er3c6Xl00avx9emAKn3ZEruxHYC1FFXc3M\n",
       "jjoR0Qa09e5LqtmdHioOChGxGZicq8xvgLkR8aqk9cDdkr5FMjw0E2iPiJD0Rho42oErgVvKnf9k\n",
       "GF1ujcJ2eKvSupqZWWX6DQqS1gIXAidJ2gV8LSLyF/LZFXxEdEhaB3QA+4El6cwjgCXAncBYYEO5\n",
       "mUcAB+DMj5MMH+XdBO8M7CuZmVm11Peb3XiS4iEOn476OXj7Mfgjzz4yMzucpIiImuR2CxcUAvgp\n",
       "hz5H4VHYfH/EBxtaOTOzgqplUCjcbS4gGTrKDx+1eiWzmVldFO4uqddBT37/WujZCY80qj5mZs2k\n",
       "cD2FK2FUfubRZ2HUC3B+g6tlZtYUChcUys08+ptkxpKZmQ2xwg0flbPH01HNzOqicEHBOQUzs8Yp\n",
       "3PCRcwpmZo1TuKDgnIKZWeMUbvioHOcUzMzqo3BB4Wp4O79/LTzrJ66ZmdVH4W5z8RB9t7h4At7e\n",
       "Dt/cEvHnDa6amVlhHdW3uSjJKYxrdZLZzKxuCjd8VGq8k8xmZnVT+KDgJLOZWf0UOih8Dl50ktnM\n",
       "rH4Kl1PIL1x73c9lNjOrq8LNPiqtTSts3BCxsCEVMjMbBmo5+6jQw0fgRLOZWT31GxQkrZLULWlz\n",
       "ruyvJD0t6UlJP5R0Qu615ZK2SdoqaX6ufK6kzelrNw+0gk40m5nVz0B6CncAC0rK7gdmR8SHgGeA\n",
       "5QCSZgGXAbPS99wmqbdL8x3gmoiYCcyUVHrOw3g1s5lZffWbaI6IhyXNKCnblNt9FPj36fYiYG1E\n",
       "9AA7JG0H5kl6HpgQEe3pcWuAS4GNpZ+3EH47HkbtgZ5dcNeWiA2VfikzM6tOLWYfXQ2sTbencOiz\n",
       "DzqBqSTPSOjMlXel5Yf5EZzcu30dXDFHesyBwcysPgYVFCR9BdgXEXfXqD6szG1/Bs7qgi8ADgpm\n",
       "ZilJLUDLUJy76qAg6T8CrcAf5Iq7gOm5/WkkPYSudDtf3lXuvCtL9m/z7CMzs0NERBvQ1rsvaUWt\n",
       "zl3VlNQ0SfwlYFFE7M29tB64XNJoSWcAM4H2iNgNvCFpXpp4vhK4dyCf5dlHZmb1029PQdJa4ELg\n",
       "ZEm7gBUks41GA5vSyUU/j4glEdEhaR3QAewHlkTf6rglwJ0kV/4bIuKwJHMpzz4yM6uvwq1oXggb\n",
       "x8PYPfDOTrjVSWYzsyOr5YrmwgWFWn0xM7Nm0VS3uTAzs/pxUDAzs0zhgsJiqW2htHGO1NroupiZ\n",
       "NZvi5RTS7etg+8/heieazcyOrClyCrfDWacnq5nNzKxOChsUwM9SMDOrt0IHBa9mNjOrr8IGBa9m\n",
       "NjOrv1rcOrumFsNDXs1sZtYYxZt95BXNZmYVaYrZR2ZmVn8OCmZmlnFQMDOzjIOCmZllChcUfO8j\n",
       "M7PGKd7so3Tb9z4yMxuYpph95HsfmZnVX2GDAvjeR2Zm9dZvUJC0SlK3pM25skmSNkl6RtL9kibm\n",
       "XlsuaZukrZLm58rnStqcvnbzQCrnex+ZmdXXQHoKdwALSsqWAZsi4mzgwXQfSbOAy4BZ6Xtuk9Q7\n",
       "zvUd4JqImAnMlFR6zkP43kdmZvXXb1CIiIeB10qKLwFWp9urgUvT7UXA2ojoiYgdwHZgnqTTgAkR\n",
       "0Z4etyb3nkMshodaYeMjsNRJZjOz+qr2hniTI6I73e4GJqfbU4BHcsd1AlOBnnS7V1dafph1ES1V\n",
       "1snMzAZp0HdJjYiQVLN5rZJW5nbbIqKtVuc2MzsaSGoBWobi3NUGhW5Jp0bE7nRo6KW0vAuYnjtu\n",
       "GkkPoSvdzpd3lTtxRKyssk5mZk0hvVhu692XtKJW5652Sup64Kp0+yrg3lz55ZJGSzoDmAm0R8Ru\n",
       "4A1J89LE85W595iZWUH021OQtBa4EDhZ0i7ga8BNwDpJ1wA7gMUAEdEhaR3QAewHlkTfkuklwJ0k\n",
       "aw82RMTG2n4VMzMbrOLd5sIP2TEzq0hT3ObCzMzqz0HBzMwyDgpmZpZxUDAzs4yDgpmZZRwUzMws\n",
       "46BgZmYZBwUzM8s4KJiZWcZBwczMMg4KZmaWcVAwM7OMg4KZmWUcFMzMLOOgYGZmmcIFhcVS20Jp\n",
       "4xyptdF1MTNrNsV7yE66fR1s/zlcvyViQ0MrZWZWcE3xkJ3b4azT4QuNroeZWTMpbFAAGJ88z9nM\n",
       "zOqk6qAgabmkpyRtlnS3pDGSJknaJOkZSfdLmlhy/DZJWyXNH8hn7IF3qq2fmZlVrqqgIGkGcB1w\n",
       "bkR8ABgBXA4sAzZFxNnAg+k+kmYBlwGzgAXAbZKO+NnXwrM74dZq6mdmZtWptqfwBtADjJM0EhgH\n",
       "vABcAqxOj1kNXJpuLwLWRkRPROwAtgPnlTvxYnioFTY+AkudZDYzq6+R1bwpIl6V9NfATpIhnh9H\n",
       "xCZJkyOiOz2sG5icbk8BHsmdohOYWu7c6yJaqqmTmZkNXlVBQdKZwBeBGcDrwN9LuiJ/TESEpCPN\n",
       "dy37mqSVud22iGirpo5mZkcrSS1Ay1Ccu6qgAHwE+KeIeAVA0g+BjwG7JZ0aEbslnQa8lB7fBUzP\n",
       "vX9aWnaYiFhZZZ3MzJpCerHc1rsvaUWtzl1tTmErcL6ksZIEXAR0APcBV6XHXAXcm26vBy6XNFrS\n",
       "GcBMoL36apuZ2VCoNqfwpKQ1wC+Ag8CvgL8FJgDrJF0D7AAWp8d3SFpHEjj2A0uiSEupzcwMKOJt\n",
       "Lmq0VNvMrFk0xW0uzMys/hwUzMws46BgZmYZBwUzM8s4KJiZWcZBwczMMg4KZmaWcVAwM7OMg4KZ\n",
       "mWUcFMzMLOOgYGZmGQcFMzPLOCiYmVnGQcHMzDIOCmZmlnFQMDOzjIOCmZllHBTMzCwzqKAgaaKk\n",
       "eyQ9LalD0jxJkyRtkvSMpPslTcwdv1zSNklbJc0ffPXNzKyWBttTuBnYEBHnAB8EtgLLgE0RcTbw\n",
       "YLqPpFnAZcAsYAFwmyT3VMzMCqTqH2VJJwAXRMQqgIjYHxGvA5cAq9PDVgOXptuLgLUR0RMRO4Dt\n",
       "wHml510obZwjtVZbLzMzq95grtTPAF6WdIekX0m6XdJxwOSI6E6P6QYmp9tTgM7c+zuBqaUn/RFc\n",
       "/DG42YHBzKz+BhMURgLnArdFxLnAW6RDRb0iIoA4wjnKvnY7nHU6fGEQdTMzsyqMHMR7O4HOiHgs\n",
       "3b8HWA7slnRqROyWdBrwUvp6FzA99/5padkhVqb/3wbnSGqJiLZB1NHM7KgjqQVoGZJzJxfzVb5Z\n",
       "+ilwbUQ8I2klMC596ZWI+IakZcDEiFiWJprvJskjTAUeAM6KXAUkZTutsHFDxMKqK2dm1iQkRUSo\n",
       "FucaTE8BkiGeH0gaDTwLfA4YAayTdA2wA1gMEBEdktYBHcB+YEm8R0S6Fp7dCbcOsm5mZlahQfUU\n",
       "ak1SLISNO+HWLREbGl0fM7PhoJY9hcIFhVp9MTOzZlHL304vHjMzs4yDgpmZZRwUzMws46BgZmYZ\n",
       "BwUzM8s4KJiZWcZBwczMMg4KZmaWcVAwM7OMg4KZmWUcFMzMLOOgYGZmGQcFMzPLOCiYmVnGQcHM\n",
       "zDIOCmZmlnFQMDOzjIOCmZllBhUUJI2Q9Lik+9L9SZI2SXpG0v2SJuaOXS5pm6StkuYPtuJmZlZ7\n",
       "g+0pXA90AL0Pel4GbIqIs4EH030kzQIuA2YBC4DbJLmXcgSSWhpdh6JwW/RxW/RxWwyNqn+YJU0D\n",
       "WoHvAr0PjL4EWJ1urwYuTbcXAWsjoicidgDbgfOq/ewm0dLoChRIS6MrUCAtja5AgbQ0ugJHo8Fc\n",
       "rf9P4EvAwVzZ5IjoTre7gcnp9hSgM3dcJzB1EJ9tZmZDoKqgIOnTwEsR8Th9vYRDRETQN6xU9pBq\n",
       "PtvMzIbOyCrf96+ASyS1AscCx0u6C+iWdGpE7JZ0GvBSenwXMD33/mlp2WEkOVikJK1odB2Kwm3R\n",
       "x23Rx21Re0ou6AdxAulC4L9ExL+V9E3glYj4hqRlwMSIWJYmmu8mySNMBR4AzorBfriZmdVUtT2F\n",
       "Ur0/7jcB6yRdA+wAFgNERIekdSQzlfYDSxwQzMyKZ9A9BTMzO3oUZq2ApAXpwrZtkr7c6PoMJUnT\n",
       "Jf1E0lOStkhampY37eI/L4RMSJoo6R5JT0vqkDSvidtiefo3slnS3ZLGNEtbSFolqVvS5lxZxd9d\n",
       "0ty0/bZJunlAHx4RDf8PGEGydmEGMAp4Ajin0fUawu97KvD76fZ44J+Bc4BvAjek5V8Gbkq3Z6Vt\n",
       "Mipto+3AMY3+HjVuk/8M/ABYn+43ZVuQrO+5Ot0eCZzQjG2Rfp/ngDHp/v8GrmqWtgAuAD4MbM6V\n",
       "VfLde0eB2oHz0u0NwIL+PrsoPYXzgO0RsSMieoC/I1nwdlSKiN0R8US6vQd4miQB35SL/7wQMiHp\n",
       "BOCCiFgFEBH7I+J1mrAtgDeAHmCcpJHAOOAFmqQtIuJh4LWS4kq++7x0BuiEiGhPj1uTe897KkpQ\n",
       "mArsyu03zeI2STNIrggepXkX/3khZOIM4GVJd0j6laTbJR1HE7ZFRLwK/DWwkyQY/C4iNtGEbZFT\n",
       "6XcvLe9iAG1SlKDQlNluSeOBfwCuj4g3869F0t876hf/eSHkIUYC5wK3RcS5wFuk9w/r1SxtIelM\n",
       "4IskwyFTgPGSrsgf0yxtUc4AvnvVihIUShe3TefQCHfUkTSKJCDcFRH3psXdkk5NX69q8d8w1LsQ\n",
       "8jfAWuCT+YWQ0FRt0Ql0RsRj6f49JEFidxO2xUeAf4qIVyJiP/BD4GM0Z1v0quRvojMtn1ZS3m+b\n",
       "FCUo/AKYKWmGpNEkd1Rd3+A6DRlJAr4HdETEt3MvrSdJppH+/95c+eWSRks6A5hJkkAa9iLixoiY\n",
       "HhFnAJcD/xgRV9KcbbEb2CXp7LToIuAp4D6arC2ArcD5ksamfy8Xkaxzasa26FXR30T67+mNdAab\n",
       "gCtz73lvjc6y5zLrC0lm4WwHlje6PkP8Xf8Nyfj5E8Dj6X8LgEkkq72fAe4nWRHe+54b07bZClzc\n",
       "6O8wRO1yIX2zj5qyLYAPAY8BT5JcHZ/QxG1xA0lQ3EySWB3VLG1B0mt+AdhHkm/9XDXfHZibtt92\n",
       "4JaBfLYXr5mZWaYow0dmZlYADgpmZpZxUDAzs4yDgpmZZRwUzMws46BgZmYZBwUzM8s4KJiZWeb/\n",
       "A4tq0iiAL0QHAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4ef59a79b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#MAGIC\n",
    "#https://en.wikipedia.org/wiki/Principal_component_analysis#Select_a_subset_of_the_eigenvectors_as_basis_vectors\n",
    "def calc_d(X_train,per=0.95):\n",
    "    pc_vectors, singular_values, mean, std=PCAtrain(X_train)\n",
    "    #print(np.shape(pc_vectors))\n",
    "    pc_vectors.resize((np.shape(X_train)[1],np.shape(pc_vectors)[1]))\n",
    "    #print(np.shape(pc_vectors))\n",
    "    total=np.sum(singular_values);\n",
    "    \n",
    "    ind = singular_values.argsort();\n",
    "    ind = ind[::-1]; # reverse sort    \n",
    "    pcs = np.zeros((np.shape(X_train)[1],np.shape(pc_vectors)[1])) \n",
    "    for  i in np.arange(len(ind)):\n",
    "        pcs[:,i]= pc_vectors[:,i]\n",
    "        \n",
    "    singular_values.sort()\n",
    "    singular_values = singular_values[::-1]\n",
    "    #print(np.shape(singular_values))\n",
    "    cum= np.cumsum(singular_values)\n",
    "    plt.plot(range(len(cum)),cum, 'ro');\n",
    "    plt.show;\n",
    "    for i in np.arange(np.shape(pc_vectors)[1]):\n",
    "        if cum[i]>per*total:\n",
    "            return i, pcs[:,:i]\n",
    "        \n",
    "dimensions, eigenfaces =calc_d(X_train)   \n",
    "print(\"Number of components covering 0.95 of variance: %d\" % dimensions)\n",
    "#print(np.shape(Vd))\n",
    "#print(Vd)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Classification"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this step you should implement a classifier that can classify input data. You should use the transformed data from the previous step to complete this part. You should use ```GridSearchCV``` to find the right parameters of the model you are using. Consider using one of SVM or any other model that can perform better. The model should be a scikit learn classifier and set to a variable named ```clf```. You may need to read the documentation of Scikit-learn to find out how the grid search algorithm works."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fitting the classifier to the training set\n"
     ]
    }
   ],
   "source": [
    "#So why the PCA-stuff now? The point is, that due to the PCA one has only to search on less dimenions.\n",
    "#print(np.shape(X_train))\n",
    "#print(np.shape(Vd))\n",
    "Xld= normalize(X_train).dot(eigenfaces)\n",
    "#print(np.shape(Xld))\n",
    "\n",
    "Yld= y_train\n",
    "#print(np.shape(y_train))\n",
    "\n",
    "# i have to remove the dimension from y too but which ones ? Just take the first 102 ones ?\n",
    "parameters ={'kernel':('linear', 'rbf'), 'C':[1, 10]}\n",
    "clf = GridSearchCV(SVC(), parameters,refit=True,n_jobs=4)\n",
    "clf.fit(Xld,Yld)\n",
    "print(\"Fitting the classifier to the training set\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If everything has been implemented correctly you should get classification report, confusion matrix and example outputs as well as eigen faces below. We could implement a model that performs above $80\\%$ on test set, can you do better?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Predicting people's names on the test set\n",
      "done in 0.071s\n",
      "                   precision    recall  f1-score   support\n",
      "\n",
      "     Ariel Sharon       0.66      0.83      0.73        23\n",
      "     Colin Powell       0.57      0.59      0.58        54\n",
      "  Donald Rumsfeld       0.65      0.59      0.62        34\n",
      "    George W Bush       0.81      0.82      0.81       137\n",
      "Gerhard Schroeder       0.48      0.43      0.45        23\n",
      "      Hugo Chavez       0.83      0.83      0.83        18\n",
      "       Tony Blair       0.54      0.45      0.49        33\n",
      "\n",
      "      avg / total       0.69      0.69      0.69       322\n",
      "\n",
      "[[ 19   2   2   0   0   0   0]\n",
      " [  6  32   3   8   1   0   4]\n",
      " [  1   6  20   3   3   0   1]\n",
      " [  2   9   6 112   1   2   5]\n",
      " [  0   0   0   9  10   1   3]\n",
      " [  0   1   0   0   2  15   0]\n",
      " [  1   6   0   7   4   0  15]]\n"
     ]
    }
   ],
   "source": [
    "print(\"Predicting people's names on the test set\")\n",
    "t0 = time()\n",
    "y_pred = clf.predict(normalize(X_test).dot(eigenfaces))\n",
    "print(\"done in %0.3fs\" % (time() - t0))\n",
    "\n",
    "print(classification_report(y_test, y_pred, target_names=target_names))\n",
    "print(confusion_matrix(y_test, y_pred, labels=range(n_classes)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "total size of new array must be unchanged",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-17-e0e295b5b4dc>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m     26\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m     27\u001b[0m \u001b[0meigenface_titles\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;33m[\u001b[0m\u001b[1;34m\"eigenface %d\"\u001b[0m \u001b[1;33m%\u001b[0m \u001b[0mi\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0meigenfaces\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mshape\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\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[1;32m---> 28\u001b[1;33m \u001b[0mplot_gallery\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0meigenfaces\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0meigenface_titles\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mh\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mw\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;32m<ipython-input-17-e0e295b5b4dc>\u001b[0m in \u001b[0;36mplot_gallery\u001b[1;34m(images, titles, h, w, n_row, n_col)\u001b[0m\n\u001b[0;32m      5\u001b[0m     \u001b[1;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[1;32min\u001b[0m \u001b[0mrange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mn_row\u001b[0m \u001b[1;33m*\u001b[0m \u001b[0mn_col\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      6\u001b[0m         \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0msubplot\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mn_row\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mn_col\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mi\u001b[0m \u001b[1;33m+\u001b[0m \u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 7\u001b[1;33m         \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mimshow\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mimages\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mreshape\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mh\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mw\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mcmap\u001b[0m\u001b[1;33m=\u001b[0m\u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mcm\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mgray\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      8\u001b[0m         \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mtitle\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mtitles\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0msize\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m12\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      9\u001b[0m         \u001b[0mplt\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mxticks\u001b[0m\u001b[1;33m(\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[1;31mValueError\u001b[0m: total size of new array must be unchanged"
     ]
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAhEAAAH+CAYAAAAiZFzYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvWuUddtZFvjMXbddtet2vi/nhCTkgkalAwRON4YeipCO\n",
       "CgEDtCghOEbSCTG0TQ/oRlQkoIS7l+Yil4GKkeZiJEZAxIGSxg5JIEEbWwwQwNwTCJ2ck3O+ql1V\n",
       "u6579Y+1nlXPevY7V9VXt2+v7+x3jD32ba255uWd7/u8lzlnKooCM5rRjGY0oxnNaEZ3S717XYEZ\n",
       "zWhGM5rRjGbUTZqBiBnNaEYzmtGMZnQhmoGIGc1oRjOa0YxmdCGagYgZzWhGM5rRjGZ0IZqBiBnN\n",
       "aEYzmtGMZnQhmoGIGc1oRjOa0YxmdCG65yAipfT+lNILqs+vTin98A088/kppQ/dwHPGKaU/dN3P\n",
       "yTz7l1JKr7wXz75pup956CpIeSGl9PKU0lvvdZ2ug7rOByml16SUfvwqyppRO3WdVy5ZjyvVDfcc\n",
       "RACoN6ooiuI7iqJ41Vk3pJT+z5TSt15vtRrP+6KU0q+nlLZSSo+klP59SulZN/X8C1IB6dv7nLrA\n",
       "Q+OU0k5KaZhS+r2U0nellG5q/j1ReKELfNAmS54IYzQt1AVeUZnxSErpdSmljSso+krlwZUKsZTS\n",
       "/FWWNw2UUno2gB8F8DVFUWwA+AQAPwjg5IqfM3eV5V2U7vUY3uvnXzM9tyiKNQB/GsBfAnCm4Hqi\n",
       "0v3IB+eQJekKnzUV8uQm6H7kFSHKjD8E4AEAr7m31ZmkM0FE5fb5myml30opPZZS+qcppaXqv+dX\n",
       "VtXfSCn9AYDXppL+Zkrp3SmlR1NKr08pPSDlvTSl9IHqv1fbsxruvJTSZ6aU3pZSejyl9MGU0v+U\n",
       "UnoVSgH8NyqE9rPVtU9NKf1USumjKaX3ppS+SspZrlDkYyml3wLwx++ijz4NwPuKongTABRFsVMU\n",
       "xU8XRfGhquxe5Q57d0ppO6X0aymlp8n9fzal9F+rNvyA1OnlKaVfSSl9d0rpUQDflFJaTyn9WNWG\n",
       "96eUviGllOSeL08pvbNqx79LKT1D/vuzKaXfSSndSSl9P0qBdN57xymlr0wpvQvA795F35yLZjzU\n",
       "pKIofhfAWwF8UlX2q1JK70opfSyl9LMppadUv39zSun7qs8LKaXdlNLfk/rsp5Q2q+//vbTz11NK\n",
       "n33R+l0XzfigXZagtA4XU0o/mkpZ8psppf9Ons2+2K768H+U/+5KnlTX/3JK6e9XbXlvSumFd9GW\n",
       "a6UZrzSpKIohgJ8D8Bzroz8dtSOl1E8p/UTV3sdTSv8xpfSgFPmsavy3U0q/kFK6fdG6oSiK1heA\n",
       "9wN4B4CnoURCvwzgW6v/ng/gCMB3AlgA0AfwvwF4G4CnVr/9QwCvq65/DoAhgM8EsAjgu6r7X1D9\n",
       "/00Afrz6/EwA2wC+FMAcgFsAPrX670cAfIvUsQfgPwH4RgDzKBH+ewB8TvX/3wHwZgCbAD4ewG8C\n",
       "+KDc/4MAfjDT/k8AMALw3VV7V+3/v171zx+pvj8XwK3q8xjAvwawDuDpAD4K4HOr/15etf1/rerf\n",
       "B/BjAH4GwKBq/+8C+PLq+i8C8C4Af6y6/hsA/Er135Oqvvriqq/+96rsM++Vev5C1T9LZ/HE3b6e\n",
       "6DwkffyHpQ1/AOAVAF4A4BGUCmYRwPcBeHN13f8A4B3V5z8B4N0AfrX6/gIA/7n6/DQAjwJ4YfX9\n",
       "z1Tfb1ff3yS88HIAb73qMZ7xwZXIktdU/78QpQHwHQDeLv//RQAfV31+MYAdAE++oDx5OYBDAK+s\n",
       "nvVXAPz+veCLGa+cS2Y8AOCNAF4j/7+PbZB2/Fj1+X9GqXv61fg+DGCt+u+XUMqSZ1f/vwnAd154\n",
       "rM4xmO8D8BXy/fMAvFsG8wDAovz/TmvYUypmnQPwtzmw1X8r1f0czNfIYH49gJ/K1OlHyFDV988A\n",
       "8AG75usB/NPqcz2w1fdXAfjQXTD0ZwB4PUoQMKqeP6j++x0AX9DCBH9Cvr8ewNfJJP6A/DdX9cUn\n",
       "ym9fAeBN1ed/i0oACAPvAngGgJcBeJs9+0M4FRi5e58u9Xz+NQqEGQ+VfbwF4DGUE/hbUE7u1wL4\n",
       "O3LdoGrrMwAsV/x2C8DXVfX5UHXNNwP43uqer0MlPKScfwfgZdXnaQERMz5olyWvAfBGufY5APZa\n",
       "yvrPAL5QxvVu5MnLAbzL+m8M4KF7wRszXmmVGY8DOK7a+FTrI22ztuMVAH4FwKcE5b4JwKvl+/8C\n",
       "4N9edKzOG0vSjNIPokR7pEeKojiU788C8DMppbH8dgzgySgH9vf4Y1EUeymlj2We+XQA7z1n/Z4J\n",
       "4KkppcfltzkAb6k+PzVow7mpKIr/gBKZIqX06SiFwDcAeHVVz/e03P7/yec9lAqApHV6EkoE/QGr\n",
       "J0MjzwTwD1JK32XlPw3Wr0HZbfd+KLj+OugJzUMVPVwURaM+qQxd/Bq/F0WxW7XnaUVRfDCl9GsA\n",
       "PhvAZwH4dpQeiz9Zff8+qfuXpJS+QIqeB/B/X6CO101PaD44Q5YAwEfk8j0A/ZRSryiKcUrpZQC+\n",
       "BmW/AMAqAHVD3408AUQ2Vf3HMj96N226RnpC80pFDxdF8d5U5n18JYC3ppT+G2s7qZDPP46yLT+Z\n",
       "ypDnTwD4hqIojqv/VS+NUI77hei8iZXPsM8flu+FXftBlG7VB+S1UhTFh1G6cJ/OC1NKK2hOAi/n\n",
       "D2f+i575PnvmelEUL6r+/4OgDReioih+DaWL8JOqnz6E0i10oeLk86MoXWzPkt+egVPm/yBKZK5t\n",
       "HBRF8XZM9mvS7y33/mqmLtdBMx6K6cOQMU8pDVC25/ern96MMhHzYQD/T/X9hQCeh1Nh9UGUFojW\n",
       "fa0oir93RXW8SprxAR88KUuylFJ6JoB/jDJccasoigdQusc1GfNu5EkXaMYrfHCp/F+LMmTyydXP\n",
       "u2gapU/R64ui+JaiKD4JZSj0RSg91ldO5wERCcBXppSellK6hRI1/2TL9f8QwHekKnEvpfRgSukL\n",
       "q//+JYAXpZT+ZEppEaVLN1eH1wH4MymlL0kpzaeUbqeUPrX67yMos1VJ/xHAsEq0WU4pzaWUPrlC\n",
       "+gDwLwB8fUppM6X08QC+Cuekqq5/mUkpKaVPBPAFAKiA/wmAb00pPbtK7nlu1U9hcchkYBdFcVLV\n",
       "89tTSquV0PgalAgSKPv11Sml51T12EgpfUn1388D+KSU0p+vEOtXA/g4Kb7t3pugJzQPnUH/HMAr\n",
       "UkqfmsrEse9AmfdAq+XNKCf/bxVFcYQynvmXAby3KApaUz8B4AtSSp9T1bufyuSzp2G66AnNB+eQ\n",
       "JW00QKnEHgXQSym9AqfKZILOIU+mnZ7QvCLERNg5lCGKPZx6Sn4dwEuqen46gL+ACuhU8/9TqvuG\n",
       "KAHliZd7FXQeEFGg7Ng3onTbvwvAt9n/Sv8AZULHG1NK2wDejtJqQlEU70SJpF+HElU+hqa7p2B5\n",
       "lRD9fABfC+BjKON/z62uey2A56Qy6/Sni6IYo0Ran4aygx9BidrXq+u/GaVb730oY8U/pvVOKf1Q\n",
       "SumHMu2/A+ALAfxGSmmIMr/gpwHQyvtulMzyRpTxqx9GmawS9U0hvxXB/1+FEl2+F2X2/j9DGYdD\n",
       "URT/CsDfReme2gLwGwA+t/rvUQBfgjKR51GUnpFfrh/acm+mnldNT3QeitqIqo7/HsDfAvBTVXs+\n",
       "AcBL5JK3o+Qneh1+G6X78S1Sxu+hTJ59NUpX9AerNkeCIuK7m6InOh+cJUuisWEb3okyIfDtKF3R\n",
       "nwyZ45l7s/Kk7VlTQk90XiH9l4pXHgPwUgB/viiKO9V/fwul1+RxlPkQ/0zu+zgAb0Cpk96J0vjQ\n",
       "jcwK+3zhsU9VYkX+gpTeB+CVRVFMY3x1Rh2gGQ/NCJjxwYzOTzNe6Q5Nw46VM5rRjGY0oxnNqIM0\n",
       "AxEzmtGMZjSjGc3oQnRmOGNGM5rRjGY0oxnNKKKZJ2JGM5rRjGY0oxldiGYg4goo2R7mN/zsGz1Z\n",
       "bkZXS3czfimln08pvfS66zSj66V0Hx/HPqPpoJvUC5cCEUnOZL8fKJ0evHInlYch/bKs+W2je71s\n",
       "7r6JSd2HPPX+lNJeKg/teSyl9G+qNeOkc49fURSfXxTFj599ZffoPhz3i8qSGbXQfcgnZ8mHi9KN\n",
       "6YXLeiIKtGxakTp0RGtKaR3Av0G53vgBlNvDfjPKPdav8jnX0Sd3vXHIFI/NfcNTFRUAXlSUx/k+\n",
       "BeWGNd9v11x645fU/aOf75txvylZUj2rM/1yRXTf8ElF55EPU00XBhGpPHL0GQB+rkJRfy2l9KxU\n",
       "Hiv95SmlDwD4xZTSZ6eUPmT31u7/VFL2CNcbpD8KoCiK4vVFSftFUfxfRVH8htT7Vak8TptH8X6a\n",
       "3P9wSum/VJbHT6b2Y2sXU0rfm1L6/er1PancSY3PeVEqj3N+PJXH+36K/PdwSun/rerwkzjd2Oo8\n",
       "976/qsc7UO60NlXhrPuQpxpUFMUByk2lnhP9n1J6oLJEPlpZJT+XZNfJlNIvpZReWX2eOPr5Rhpx\n",
       "DXQfjvuZsqSqb3gMd0rpFSJn3pNS+gr5767kiVz/V1NKH0kpfTil9PIb6ocrpfuQTxoUyQed89X3\n",
       "OhRWteN7qnHdSim9I1W7Eld0q5In2ymlX00p6W6bV0YXViJFUbwU5c54L6r26f8/5O/PAvCJOD3S\n",
       "duJ2nLpavhrlLm6fhRKJPY7yiFQAQCoV80smSrh6+l0AJ6mMJb3QmSqV20R/E4CXFkWxXtX5Mf6N\n",
       "csfIz0W54+BzUZ6SR3oySovkGSiPaP1GlLupfWr1el71G1JKD6PcGe1VKE9v/EcA/nVKaaESDP8K\n",
       "wI9W5b0Bza1Os/dKXV6C8kS8zWrHtamh+5Cn6kdWz11BefjS21uuey1KPnkGyp0pf0D+dxfl81Du\n",
       "5vcQyu2yO0n34bi3ypKKPgPlCcC3Ue5Y+Vr57yMA/lwlZ14B4HuquU06tzyR69dRHgj1SgA/mFLa\n",
       "uHQrb5juQz6pH1k9N5IPbWGJzwHwpwD8kaIoNlDqINVJL0G5k+UDKE8O/varrnhZw8sf16pHkT4L\n",
       "5fGlz5Lfng87/lTvQ/4I195l6nbB9nwiym1hP4Ryr/GfRXU0LoBfAPBVLf3wl+T73wXwQ9J+P7b2\n",
       "3SgPi+H3z0F5kAsA/BDkzPrqt99ByfCfBeD37b9f4fUt9/4pqefLb7pfn+A89X6Ue9c/XtXh9wB8\n",
       "svz/I5Djhe3eTwPwmHx/E5pHen/guuo9G/dLt6dNlrwcd3EMN8pDur5a+uBu5MnzUZ630JP/PwLg\n",
       "efd6zGd8ci75UM954Z23Vp9fgBKwfobXveK9fyzfPw/Ab19HG67LnX03x0o/C+URro+n8kjVd+L0\n",
       "CNcbpaIofqcoilcURfF0lHvTPxXA91Z/fzzOf+S3H63qx9Y+FZNH9PKY22cC+Fr2R9UnH4+S0Z+K\n",
       "09MdSVpO7l49Qve6j/y+LuokT6G0Ir6oKE9dXEJ5nsGbU0oP+YUppZWU0j+qXK9bKA/f2kgp5WLA\n",
       "XR3Lu6FOjvsZsgSwY7irj6sAkFL6vMr9/LGqHZ+P5qmTdyNPAOBjRdPruIdLHP08pdRJPsFdyIeJ\n",
       "G8stwX8ApRflI5XsWJNL9Fj5Sx333UZXkVh51u+7KJE2gDoB7EH5P3eE6x9csm6XoqIofhdl2IAn\n",
       "5V3Vkd+AHf+M0i1JcPBBAN9u/bFaFMXrUR4t6yczPlM+t92bq8u00f3MU0VRFD+D8jS9z9S/qvev\n",
       "RRlPf15Ruic/Gy0nv2L6x/Ju6H4ed5clWUplLtVPoQxxPFQpl59H/shvIJYnH8b9Sfczn0TywY/7\n",
       "/ji75/uLovh0lHkUfxTAX7+JuipdFkR8BPmz10n/FUA/pfT5VWz+G1EiLlLbEa43RimlP1YlHz2t\n",
       "+v50AF+G0/jUPwHw11JK/22V0PJs1vkC9M8BfGNK6UkppScB+Ns4PaL3hwH8lZTS86rnDFJKfy6l\n",
       "tArgbQCOU0pfXeVIfDGAPy7ltt3bFbpveEqIMc+UUvoilDHK35b/qCBWUVoMW6k8/rizyZIXoPtm\n",
       "3M8hS9posXo9CmCcUvo8lOGJNorkyX25FBj3EZ8ItcmHXwfwxak8avzZKHNamAP36Smlz6jauAdg\n",
       "H6fHfV/ZUd9n0WVBxHeiZN7HU0p/tfqtgRSLotgC8JUolfDvAdhB0/WUPcIVAFJKv5lS+rJL1vM8\n",
       "NEQZW/oPKaWdqh7vQGkdoiiKf4kyMeV1ALZRHuGby+j1ZBhHz98G4Neq8t9Rff626jn/CWVi5A+g\n",
       "TJJ5F4CXVf8dAfhilHGxjwF4MUqrBWfc2yWL9X7iKdLPpfI43y0A3wrgZUVRUEgor3wvgGWUCuRt\n",
       "KI+KbrO8ujSuZ9H9NO6tsgTtR34PUSb+/QuUc/jLUOZTTFwrlJUnmeu7TPcTn5Da5MP3oMyV+AjK\n",
       "PIefkPvWUR49/hjK3IpHAfz96r8sj101zc7OmNGMZjSjGc1oRheiqdonYEYzmtGMZjSjGXWHZiBi\n",
       "RjOa0YxmNKMZXYhmIGJGM5rRjGY0oxldiK51n/GU0izh4h5RURQ3lp17NzTjiXtD08oPwIwn7hVN\n",
       "K0/M+OHe0EX54doPK3n44YfxwAMPYHNzE+vr61hbW8NgcLrslbtejcfNHZhTSo1Xr9fjzlv1bwBw\n",
       "cnKC4+NjnJyc4OTkBOPxGMfHx/VvXjbL4mtubg69Xg8LCwtYWFiov+t/+l1fLGt+fr7xO6/XerKt\n",
       "rKO+ojb4rmBs19HREXZ3d3Hnzh3cuXMH29vb2N7exu7ubl3Ge97TtifWvacv/dIvrftscXERi4uL\n",
       "WFhYwNHREQ4PD+t+AYDV1VWsrq6i3+/X9ywsLGB+fr4es8XFxcZ3/q/jwH49PDzEwcEBDg4O6s/H\n",
       "x8f1M9nHBwcH2N/fx2g0qvmJ9Ts8PGzw19zcHObn57G4uIh+v1+3h/VivSM+4n8Aal44OjrC0dFR\n",
       "/QzWjfzD1+7uLnZ2drCzs4PhcIjhcIiiKJBSwtzcHJaXl9Hv9/GLv/iL93K4z0VvectbGmNycHCA\n",
       "o6Mj9Pv9+rW0tISlpaWJeTIejxtygv2vfe39nlKq+3hvbw+7u7vY29urf9M5CGBirnNc+VpYWKjn\n",
       "us95Lcd/Y/0jORjdq+3UZ3lZWqbKF/LSi1/84usbzCugN7zhDRgMBlhZWanl8tzc3MSYAMj2D+e+\n",
       "kv6vfKFzMxpHzk325dHRUT1WnHMppbrv/cXr9KXj4XJfn0eZc3h4WMsGXk9ZpddQPrGOqgeLomjI\n",
       "M76/6U1vuvBYXTuIoDBdWlqqhSonAEmFgAMHffl/VA6umF0hs/OASSYjczqIiJ7v93g5+q6kjKEM\n",
       "pYziTMf6RkKE9WWfsu4OWqaVtH85mYqiqCeIKkJtUzRuKkwj3nGB4PzD64BTYaDlz8/P1/+dnJw0\n",
       "ns+xcaVBckXkz3fediWlk9yFAcvRPtC+PDk5qRVcF4iCjYLy5KRc7s4+ieSGkvYz5xCFuq9Acx5w\n",
       "RewKPcc7es94PK5/j1a8+byMrmm7z5Wnygevh9Y9B2CmnVZWVmrgOD8/f6Zc8zaSckCDskffe71e\n",
       "zXdR+ZTTBBIOZnhdNOcjinhIx8+NTBoxnB/6u770N9cn+ryrohsBEWqNRSjPFUGktCOBm1LKIm9X\n",
       "zJFVoeXTmsgJd352T0N0jQp1rZtSDrG6IPOXKhta8YuLizg8PKzbPu2kiptoOqVUgz/vz2hiktr6\n",
       "KrLq+HyOOZUuicpHr2G/qiWrAigCOZHnKnqxbjr2bjVGQNiBKz87mD46OrqeQbxicsHHucYxUH5p\n",
       "E4hnzR+S81WkEFheJOxVETmQiMppo0gmah29bXx+1A6XIVEfdYHUm+j9EwEoEscrJzu1HOobBVxa\n",
       "DinyMDh5X6usifr/LLnlXnV9uSfCX+qJiPg7186L0o2BCLXwgebk5MRTJRy5ICOFzbL4HiFyR3mR\n",
       "8ldhlXtW9Ju/gMmBIrXVM8dk3g72k4OIhYWFWgFPO+nYRSDQlUcOcFFoR+Ghtn5g/9FaB9Dwajkf\n",
       "jsfjxjtBhFq87iZVl7cDaeUvBb36Uo/a8fFxo/7+LH2O9iVDI10gFYIEaBrucWBOUrDonoecwud/\n",
       "Wl4k+KPyCDqpfLxcV/D6Hikm/Z9ladv0s9ZHn6PtcHkSgacuyAj1PjiQ47u309vl3hhvew5o5BRv\n",
       "BDa1Xg7gVC44UGlT3ryfc19DDxqqd5Dh4VbKDa2zAiJv00XpRkFExBQugNssuMhDwDKUcso6Evru\n",
       "Fo7iZNH1EXDwOkRhiRzyjLwQkRUKTIIIhjMODw/RBVKFoMrSgRoFSVs/cTwVQESk/EJhPT8/P+Gt\n",
       "0PEmH9ALod4IVSBtAEJfCoxYF7bdQxfaHu0bbUv0PAoe3tsVEEE37fHxcd22SHbkvHVO0TzycEiu\n",
       "jGh+83o+X8NZbYI4AhC5/9qUe2Rdq1LIgYjcs6edorCwUgQigDj8w886f/w/D3+55y+iHG842Ij4\n",
       "yNsQyX4FEf5Zwxm5kIbLQvfeXxVfXDuIcPDgijznffCwQi6s4RQh0rMYjiAiAisOIpTa3GxtYCEX\n",
       "wsj9733WVucuWBk6Fuq2p3vf+1otNW+rAhGidyp89xxFYITlR/wWvVyB6+elpaUJxUeXI+t1dHTU\n",
       "yKfxvB0VdNHLhZ4DcLW6u2J1Aqj7iPVm3o+GfHweu0dK23uWgm8zBlwu6T16DSlS7Hp9RDng03at\n",
       "t8/fFXg6iDgL7EwbeRJsG+UAIP/jvMmNueoMfY/62J8byW4l94boGEV6oE0/6HPVwIi8mO5513ZG\n",
       "8u8ydCMgQiciO8Anp1tyOSHuWfeuuCNFnwMVek2kjNXt3GZR6O9tAIJKzhVHDjQ4QyhIiDw2XVEY\n",
       "uf7wvs4Jd7XkWQb7S0MVmhiZ82iQckDCFYqCBt5PL4B6hjgeRVHUACcqn23QemjOBb0Qyn/6mwPd\n",
       "yHPWBdJVEQBqEKE8H1l7ERjktW5hkhx85fiM5UR96H3rzzmr33P/R8rf7/M6RRasK7Oo/GkmD4Fr\n",
       "v3ofObluibwCkU7guCtAbwNfEShoq2cOSERyyeV/pE/UGxEBCXoiImNX69rm8TkPXTuIyFkI6g6O\n",
       "JrhTTphHCjtnMShFglsFO68hQ+UoAjIRcHCmyCV+tiFWKhbvq0gxTTNFSDui8yh55R+dXLxHx68N\n",
       "wecEgYKG8XjcCIGwrzUnQcED66GTVcEy688+4Xe1XpRc2bknRL+fxbfTRkwMBjDRHiAPzoFJ74HO\n",
       "2+jVBvIja9IpAiE5j4XzcPTZeTj6Xe/h+Op1UR9F1BUQ4WAs8ibwe65N55H90fWuN6Kx4fecxxiI\n",
       "V2fl7tE8h9ySf3+264lIv3i79N6r4oUbARHuZlfBqehPByECGEAeTapwyIEH/z8SBryOAxFN/LOE\n",
       "EstwpvDEGEeiOWaLGMmVnSq8aafI7epj6qBQla8qGAd6UTnKVzkXoCcqqUUcTTadpJowqQBC606v\n",
       "CJes+WqKNqCpuRg6zr4/iVtvXQMRntDsodBIqZIHovmryt29Cy58NZdEhW/koXBA6x4vrZ9SNB7K\n",
       "mzqn/T1Spm406XO0L6L3aafIcFKjQPUGECeheh/o5whk+rURGNT+jgCov7sccG8DZUUu1yHyKqne\n",
       "ifhY5UYEjCIQfhm6sXBGpPi1E3JeBaWzLAu9Tq0Sf0XgQQWSW8jKOJGbWxmCpIMbuZt0oPX+yELi\n",
       "9Zoz4EzQNU+EAiO35CIm9zaqJ4KUAyJuZfpk1bHwenkCHYmeCV7jrlcCEir7lFINInQ/Ek0qVfDi\n",
       "fOLKkM91RRYlBHeBmADqoUyg3XLiNX591Gc+PtG48zPLdCDCdy1TAZ5bfbnPDgBU1pwl+3Iyza/N\n",
       "AYguAAnKu2h+czzO621zeZkDXiSVSe5N1M8qU1zGKC8pyHX94iAiSqJ0g1GJ9+f0S2RcqUy8Cn1x\n",
       "7SDCs9NzseBIcfgkVWGtVp/ePx5PJugpgnXFFH32+uWAh9c7155ooB2oaN2i/lDyNkQAbZpJJxop\n",
       "BwZccDiPRAKBfECKrNGorzhOLhh8gms4IwI3VPC+a2JKp7sk8nnq+VDLJHpOZDHx+b4ihEqUc2Ha\n",
       "iQJNd/CMBDjQHEf9zcl5R8tyfnNPj97vfBh5ViO5kmvnedqUA9Jt5bVdy3kSzZdppKOjo5ofVAnn\n",
       "5KR6c4B8uIj/qbzXsFlkoEXPJakho32rBobyl3thOU9pRBC4qLKP5LsbmFH+hNapDaRelh9uZImn\n",
       "b0WcQ+lKOml9aZyCEXWJOzJXha9gwp8RfVbPiJdxHutBf3P3dDTYSm2WgjJqVKcuCAjth0gpRkKb\n",
       "FAlf/U//j8bahYbep65RB326bJIT33mx7cV6+pJOlp0T7hHvRWBbQYSD7i4QecG3Ade2utcwmoek\n",
       "nAXm/cdydSxzPOagUcdLjRe/76w5rnwZGSc5izsHIFhX5+su0dHRUQ2GFdzlPAIqq9VgVAUa6QQd\n",
       "+2icIuXtvKUhNeVZNSCYMxV5P7UcAgnKIP0egQi+fIM6JW+X895lvRE34olwd28O1QF3h+r1Gh9M\n",
       "ZxBX3tG90QSM6qITXZFizso4q/5t4MOFg7+7suoCOYiKwhLukldk7solQtqknBXvQCEXTtI66YRT\n",
       "AeFgIeIptlvH1cdWyS1HvU9BqdZFQbqCiy5QBLiifvK+jZSKz42cElDSsW1TJpFhos9UcnkQyQev\n",
       "syozBwARuFGDSX+P2ptr+zSShoBVd5BywEy9dyoPfey8PF7j5SnAc6+Aygndl4H1cABBEEHj1w1L\n",
       "BRhavoayeQ2f4/IkAtK5PnMevijdSE6ECtqosRH5ROIARZMlAg0a9uDvUZ6DM5Y+M1dPt2Zy6JjX\n",
       "qkAviqKxh4CjRo+nqXvOQ0FqEXcJSLiFFSnrnMWn9zooPY+Hx5WxgwbPh3AQynFxpaf9ruVru1gW\n",
       "z5Phte6hUu8EgIm8Gc+n0b5iPVSYdoGiDel0fHzOsc3qPXILMeKbSGi6EZLjSX52cj5tAw9aXy9P\n",
       "n3EeQ0owZr6eAAAgAElEQVTbo/XPGTNdARAAJiz2nL7w3/3aNpCvZUSGHIBwXF0OE0Rw0ycdDz+w\n",
       "LRorlT0sg8+dm5ur+0CBRG5J/3lBwVUBCOAGPRFqOeQUM4CJSRCBiOjFQXGmIaCIynUAoQK4zSr1\n",
       "33TCq5velWHObebPc+s4arcytAO1aaeo/1w55Nz4qmwVRGnfucdJ7zsr6chBm/Y1J/nx8XFokerz\n",
       "PMyWUsLi4mINIhjeU/7Wve8BNHIlWC8FGRF41jnm4GaayXfydBDhCtIBpL5HXg2WmVPObdZ8BCIi\n",
       "+aPk/MffXMkpH3n5bcaJX6v9Eyld7Z8ukIYRzzpILprnOmZU5jnFqQaNlgdM5lFRsXtOHndcVT7w\n",
       "lVMeklei7OH8dy865wDlRAQizgsM2sD2ReiehDN0kNxbkPMi6L1qiakwAU4TtNTy08zpnBBQwe/u\n",
       "bbeIlCI0GeVARFaJW0dtrrYccIn6cNrJ26IK0hVgBCZYBoDGhFRhqs+JAIRa91ov92b4/QQRkXXD\n",
       "OvDdlYzyGdAUlLpdrXpDCDw09tmmnLSdFMBdIPaPe+ciAM/+cF5vs8xckXAcom2CFWho3ZwHFXA6\n",
       "qFSl7gDHwYy300Gpfm+TH+w/emiUz3PgYlrJl8TrYXmRYQfkQxZtYNEpMg4URERl+NxTA4fk/e9l\n",
       "e3sIVhYXFxtzn0CEIZLFxcWGUaRjzXJz7YxA00XoxsMZjojZWQ4iohUZwKmVR4osDh0gt1gjwQ80\n",
       "Vwzo0hx3fbN8Z6xI4ej7WczvbXFBos/Qz6psu5JIF7UDmLTUIuEdoW9PvNK+8zFVIOF7QuhY+xi6\n",
       "UFPgpvymYxHxnIJUAPWBOXr6HseRO2D2+/2GB0SVnfOoAoi5ubmJw7umldQLqPMbyAN1lSWulJXI\n",
       "I3qsO5+jZ3b4c3mvyiodR46hJ8e5LFJ+zoXwcqBA2xQBDhpNCh60PgrMXMFMMzGxcmFhYSJpsE2W\n",
       "UgbovCNFMsQ/+5zNebQATPRpFIKJQB+fpV5yBc/kAQ17F0VRgwjPs1CZqeUoP7vO7RSI8KWdPvAu\n",
       "hNuUhf/mqM7/00HRUAInnD7LlX6Eel1BRYpeyZne6xf95u1tK5/XddET4Z8dQLSBBypiTjS13FUQ\n",
       "6HVKHG8HMDnQkds9LrKSI+Gm9XevwcHBQa3IdOWHCwoHz8oXOSDhVv00E8Fvm4LIzceIcnOJ4PHw\n",
       "8BCj0Qh7e3s4ODhoLL3Ve9yVTVniPKDARu/ROubq6+Agp+T8HgdQOdK54X0zrUSXvXulIx7ItceB\n",
       "p4MxIM6ny3nBvUygeTZGJL8iTzjHg7rRPURahoJrLYPeCPdURCuMrnu8b2zHSkXwkeDlZ76zU1gG\n",
       "3z1TN4cUnYFcoThwcY9DBHT8ecpYEZKkZaDP8+d7PSOPB787qtb6KLNOO7nga5tA0diqR0DDWg6i\n",
       "HAzoGDnYcGGg9wGn/bywsAAAZ4I25w0ltVoIIIqiqL0Py8vL6Pf79T4TDHccHBzg4OBgwmJ2Aad8\n",
       "1AV+ACYT2CIQ4HPPlbWHQfgfv9PzcHBwgL29PQyHQwyHw9oDpBY8x5fLDMfj8cQydQeHUTjEAUHU\n",
       "Np3jkQdCyWWlUiRfIgDeBWB5eHgYgqmcQvd+jQxI5RmW0wYaorntQCYyUPisxcXFeodabQPL4XM5\n",
       "/93AiGSRhi7U0BiPx43UAfd4KZCMjO7L0I2GM5zarA1aiqqIKWSVIXKhCe90tzxV0btlQWpzT0fP\n",
       "0zYocmRZOaGuDOTufK1zJJQUQHTFExF5WCJeiJheJxbB38nJSeP0TN6rYQhH+6os1KKLJq0DNSqS\n",
       "yHp2MKm/8zeCAiovdd0uLS1hZWUFg8EAvV6vkWxJr4UrSJLykIKlLlBOPqhS9PnnHoacklY+OTg4\n",
       "wO7uLobDIba3t7G9vY3Dw8O6z1i+rut3YB8tOXSlpXPRDQavm1upOToLeLeVq9d2BUQAmOBjXeXg\n",
       "RqLyi48n/1P5wLnsYXPvL5KDtEgxKzhREOEyXK/VHCkHEh6iVONAAe7JyUm4oeN52nBZutFwBjCJ\n",
       "0hVN+bXAZMIVO1xXXDj6JrH8KI7mIELJhXRuEkbeDtZZk7git7IzC5Vir9ebAEBaXxc2OgG6ojCi\n",
       "dc5Ac7kjMJmprh4l9yppeX6vW4tt4YoobOFeivF4XC+9arOKHEyyPPVwqMXLE0CLosDBwQGKosD+\n",
       "/n7tgdjf36/zIiKl6p81D2DaKQcoo3Zpn/Mat0Y575iIyrHY3d3Fzs4OdnZ2sLu7i729vYZw5rPI\n",
       "E/Pz8w2QR1Dn56XkjAPWhdR2Xe5/7RO3WHP/6cu9cF0wNMj/RVFMLJFUEAE0FXoEMD0nz+W5y3Dn\n",
       "r5zsVSMlAgCcy/osnbsk8qmWpV5W8pyHPiOed8NX65wzMi8LJG7ME6FKn4xB9/DS0hIWFxcby2Ai\n",
       "697j2yo89HdFg3p/G4iIrF29zy08L0vrxGfzXZWeDqqWqeuBc3H4SFidnJyE6HOaieOqAEvBgYeA\n",
       "gEnvkiez+WTyFRuaTMnJ6Og+J5gdDLh3iuQCw8GQlq0uSQfSbB/j9qPRqBYknDvqEXHhofXrGohQ\n",
       "IJ4TjnpPZJG694F9eXh4WHshdnd3sb+/j9Fo1ADqKjs0G559SaCnx767B0zHWxUc/9f6RwZC1DcK\n",
       "aHO5OS5TVLG5N2XaiR438jsBnFv1wGQI1HMQcuFen9uuR5wncyBCE3N1bNz7SSKPqQHpK7Qolyiv\n",
       "aEQcHBxMbJOfAxIRiND6XxY8kG7sAC4X9CoINYGMk5bK0a14dryGOSIG4O/6zvt94noMTBmAz8+V\n",
       "EQEIHTQtywWkKkACCTIVrSEFVJGQ6aInQtsSue+0r7Sf/QTUSLGwT2mx+1hpLoKHOiLhpBPdn+Eg\n",
       "IvJKRKR8Qr5XVyrrtb+/j729vdpaplXNeaJWmdbHVzt1kaJ5lQP7zkf6P4X6/v4+9vf3a0/EaDSq\n",
       "rTqVL54Do88kiKCbmnxIMOHzMye8/X+2wV3pTg4QtJ8iI8lBRZdABD0RAOp+j1bQRMDeN3VSYBh5\n",
       "I4C8JyzqN+1bX7WlHgSGw+g1GI/HjXNtyJsMV5If6WmgrCKA2N/fr0FGNMZuRKkO0v8cdF8WTNyo\n",
       "meIKmwKYg6GDq1aaWwmOQPlZBUqk4PkeWYmRVelIT4W/DoaSKx5FmDrxvSwdbDKZulWjia99lJsc\n",
       "00ju4lfvDt99oiqI8DAQ46fA6XiqdaHKBDgNN/F3/1+pTUHpOJJ8gvJ5bk3rUi0CQG2jWiSaQ8G6\n",
       "KohgGQQk7pHoAnn+gH93g8B5xT126tVTIc2QkLv2czynBgSV2dLSUj2nl5aW6tfx8XGds6XtcstY\n",
       "2xcl7+q4afs83KakoNyBrSudq7JAr5McROgeKmyj96WCCA9/ed972M/DZO4h5e981zGhUcJVPvyd\n",
       "/AJg4jfK9uPjY4xGoxokaDiDr4ODgwnQy7p5+IP876s09F0N406ACEfmkdtPQYS7Y88qU0k7SCea\n",
       "Wv2RdQqgYc07s/CZOeGs1yvyJHPx1eYSd6HhjB/VR5mlSwrDQUTU3y7AFfVrH6hC0DIdeLlSZ/jI\n",
       "gaz2P/nFkT6vV8GjgEhBjgI9PpthPD3lkxaJAwcHEawnhSUFE8v05Kqu8IT3ZQSII+tRLW0fI7qB\n",
       "dS8IteRYpnoDVTG41Tc/P49+v99IdlVX9tLSUn0diXyWGxNVUuQpjqe3U5WF85+2RYGE8qUrlGkm\n",
       "NQwYyojCnQoSFJS7F4mkPBbpGgJQIE54d+ufY68ggr8x7KXGAVdScFXG0dFRHbLc399vhF2pP9QL\n",
       "QT5wnmjrF5J7sjQ37TJ0I54It96B04p7/IiTyrPgvTOA02xWKgMVCK6k3GvBd1UsrryVIkTrDKVM\n",
       "pUJGPQuOgh0kOAjy+kXWbdc8EaqogSYg0rHmOEfA0C1SCtf9/f0QiLHflR8osIFT74QrIlIEDrQe\n",
       "WheSjo8e061Kwq1MBQy+g2XueQp6HJh2gR+A2EupXrYogdHnnyfN0g3M/Be35F0xaLlqYaqM4W/9\n",
       "fn8CRKiiYJs03KhJtJQJvMf7QD0L+tLrtO9yilKvJ8DoAvn4tFFOZnNeuAfR+6rtpaReSw2r6lJt\n",
       "5RfOZQAT87nX69XXR16GKB9OvZj8XWWaGiSRAao8qnww9SAiGhAHEkR/amXRquKE1IQadV+qkHE3\n",
       "oqJKoLmDlz9f6xsBhpyy1wEneHArUgW7JmFpPXyQnYm0fmwfk7+65r5WBnb3voaVVHC6Gw5o8pZb\n",
       "8erZUle/K1hNZnSg4ELMwV3Exw7sPGmS3ge3EHXscyCCAiMCCA6WouVq00zab57nEwFkV/7sS/X+\n",
       "KYjQvo4MFy9Tx0Q3ojo6OqotY91fQue+gggFjppMrnuAKIjwV6RIzwIN0e9uYE07eXtzoNhluAJL\n",
       "BU3eR1H53kc5I0/5Qsee/KAGJUEFvWLcHGpubq7Bp7xXn6Hyj3yjYJDlkNQLHtWbh4NFntrL0I16\n",
       "IoDJ2IwOpipEuoO8QwgMPMFOM9EjEJCzOiKm0jKckbQcd3+qEnCr2dcjR65Yvd/dsxHQiaycLggI\n",
       "BRFsiwtbIJ8s5spkPB7XiJ5KQw+xmZ+fx9LSUr2Bk7r9vd8cRHgSZw5kqHIHmmfG5Nrm1rN6saJz\n",
       "NNxSp0BQ75R7IroAKoHJrHI/9ZAUKXwdJ7p/yQt0MUeUAyL+zrlJ4cv5rTJIvytQ9COgaSkWRRn2\n",
       "0BBdG4hokwfuRWkDuJGFPY3UBsydp10+0NCI+orfdS6T3LjLWfNcbqkgwoFAURQNYEF+5LxWEMGX\n",
       "htk0bJHS6Wo/3eXSQYTfo31A0KAAwnnkonQjO1Y6CGBD3Krz+JQSkaXfzw5RdObJajohHdn7vSqY\n",
       "+bt2uCr9aKLyudFzAEwIH0edUR3PsnS7pjQcxKmngJnuuXwYbR8ndFEU9SoGJiepB4hglBNbY6ce\n",
       "ClJlrV4RghF3iXPSqqLv9XoTy//IQ5q9HbnYWUdeR8Gh/KBeLfZn5InwZOFpJvemRd61nIJnnzEB\n",
       "jfs/6Jp6YFKRRoCEY8E6cdWFyghex10V3RDRHAh9hrqa+Z/GszmOrghVObIdZ5HeczehgWkhlXOR\n",
       "NyfnJeBnvkfAEGgCbvUUalImgEbOg/IYl12zb+lRUG+35lmQJxcWFtDv9zE3N9fI1+GcdwOBdWUy\n",
       "Juc1n8u5QeOa8oi/KS8RvDhfXZZuNJyhFSa61wmkSB2YRNj8Xye7K/wISESWq7qJWB+dpApaeJ8L\n",
       "Lm8XFU+Uw+Huag1b8H+Wof2m9XYQ4THjrigND0lwInP5nCeW8Tol9UAcHh5ib28POzs72N/fr/uT\n",
       "AEJBmgoh9+RoGM3BmZaVi6/r+CgYIh+RbzSG6smizp/sH+0HHXPekwMQXeAHIF7Bou1kGzlPHHQz\n",
       "QY1LOHd3dxseQe8fV/AKIlQ26KmJqkzUS+QKiryn9WadNURDXlAXuHpWfP67MREpgEhe5bwT006R\n",
       "hzLiawXxrgs8D8AtdQUpDvwZblLvA7dM39vba2xXrfkQaojw/52dHQyHQywuLmJ/f7/2RGgyJvWW\n",
       "h109FE4dSe8W0AQRKl9Vt3CVi/fbZenGPBFAExn54HKCuYsJOLXeI6tE0Zq6Hh21utDRjuYzovpy\n",
       "skeeAq2PMrJ+B9AADp6M5bEvtyjdQo6sZ722C0rDrQHdJ8TPJ1Byj5JObibPuYdJBa6HmCL3+cnJ\n",
       "SQ1kOKkBTCg08qTyhJbL8theV3i+HtwBtoNG9oWOs/Ka9yMBGZeYTTs5v6s3iH0ONHcP1TAC99TY\n",
       "3d2tX5xjQHNfGt7vStWVtINyXRWj40V3toJFDceonFB54spO+UA9ES53lKe9zi5r+VnpPJ6Me03k\n",
       "ZS6fVVAeGRSuENVgo4J3JesyNfIeav4DDRYe3KZeBw1Dk28om05OTupt1tkmBRGqBz3cqvsouT7T\n",
       "uvnqFeeRyGhVI/xSY3Wpu89B7olQEOFrfz1MAJyGMdR1qBOF773e6XbRkSVDUobziUhh7HV3tyMF\n",
       "mXsdcl4LTZTLtdlBRBSmUDe8u2ZdWE0zKdhSK18nEMnHW8dMQQQtNxXwit6B5mqPnDXCMWY9yH8q\n",
       "bIBScfB6dzXrWEReCwWVZ7mZ3TqP+kLbyn0MxuNxLYC7QG38rDlEbmFxTulGUnt7exiNRo0sdIIp\n",
       "n6PKB14PrRsFt6/E0PmrBg6X8um8VavRvQxsj3sOPOeK7dF7gfg05Mi7E4HzaSTmMfEwurYwp/cf\n",
       "PUaauKjKOgJeKoPUSHMwoh4J9VZrgqx7N4+OjupzWtgu6jRNzlW5o+80CnTsFAhoPh7lkRug9Nqq\n",
       "Aeu658Jjdam7z0EOIoDmkj1fwqb3AM0tknXSe2wssmR8Ans9XCnlJhiFhwoNYPKYc1oZZGqNp53X\n",
       "fc16URlqclkOKHQNRADNOntMUi3PyLPAiaITyCcOgOy4eH+rsleBpKfjMeNey+R/DgKdqOwUTKiV\n",
       "7EBWLVUHyuqGV9J+5Nr0fr+Pfr9/JeN13eRCz3lax9cNEcap6WYmiHDXrntuVJ7o3GkD55yXqlR0\n",
       "RRbQFPBuEChAZl30erUO3WtFa1rv9fo74FXDI0pUnVaiZ4A8rGFOleFAUz67ouceC5or5aEioBxz\n",
       "KmztI02U5/168i77Vsv1pODDw0NsbW3VIIKAgHpBDQz1PCiAIPBwQ9zBhIIID3FHO2JGnv+7pRs7\n",
       "CjyyAIDmmme17Gn9k3LuaAUJEZCI4mkuVPSzWwjAqRJwy9G9BS7gdHA9D0LJrQ8AE8xEYaRCkc9y\n",
       "a3Tayfs9Sp5S696ZXPuKbXaw6veo9yEKBSjw4+8RmOBLvSkR8XluJajLmkCE13u2vwok9dJoG9xy\n",
       "7vV6dSJpv9/HysrKZYbqxshDdEqRMqeC1TMFcqFCoLnkOxr/KJ8oAhMqV6joqOBZHoU0Y+Q63noo\n",
       "k89j5RMCW8/gdxe0G1XKo8qnuXkxrcS2RKEMNzB0Wa/ygi6f1NwDz0HRZ5IHdP5rPoWOE3BqSOqc\n",
       "1XlKEEFPhII5DYFEyt89EZHc13awDsDkCr7Iq6Ig9DJ0I2dnnIV+I2+CdpSjclUGGi9ykODKSbNv\n",
       "FdXlJpdbPBxwdyF68py7sKOXghZvJxEurVw+4+TkZCK7tosgwhWgjiOXx2lMOAIRbDcFs4JJnWCq\n",
       "SGjda3n6mRMwN4a+5Fgt16h+GrrQTG7ek7OqeY9aRwxRELxGAEL7MqXUORCRa5N/psDUzXqoJHIg\n",
       "gl4CL5/P1lCVC1aVJx52I2iYn59vWHo6P4GmUnT+8/g263d8fHr4UrSEUOuqcX3uRaBygcC8KyCC\n",
       "AJohOU+2jvSCnjWjYxG92sBEBB4ixa0g30GEhs8ODw8xHA4xHA4bYDTyPvEeBapqSEZeS+8PlVG+\n",
       "OkxlYpv39G7oRj0RbdYG0LQ4+N0tUrfmmHGqgoDleGKKxi4dceasVwcR6gKKrEGPNTlAUAZ0wBRd\n",
       "DzSFnLrA9Z1t6gKI0CWXjpg1+9j7w8eKYwygARAVkWvYwiedvpOUt3xc9NnKQxQ4QHMpr4fr/OUg\n",
       "Q5ckOo8oONZ9CPhM8hF5oNc7XSHSBfK2uleR1wCnXhuNd/vGT973nMNRmW3gRa/XfButJwU9ZQVw\n",
       "mtin1/DQLlVaDiLUo6EJfeqqjqxnlXO6ykmVL3nKPaHTSO598xU1KptVPkebgCmgV55hLpXLbOUh\n",
       "nffqCdC5Rr7gb67I1SuissCfq2PrHgkHUUptulQ95ZH8u5KxurKSMuRLmjwZEWgOCtDsQBW2ZAJn\n",
       "Ho//qRDSJX4sy917OWQXgQidzE56j1JkqWpbI0+EXkdLR0GHAzFVxtNOPH+AilfdyQ4E2T8qoEnu\n",
       "xlXE7fkN0UT1MVQh4bFpdTUzS1+TLB1EOPjgfxTi6oL1DG0H03wGd15kuxVEqXKjUNM6doGUhz3G\n",
       "74ZEtFGPjrMrgkj587srCrXsHcA7kKXXR61R1o+ghfwZ1dM9VpRv2gZ6HzTkkvPi0XLX3Q1J6pGb\n",
       "dtKVEg4itB2aq5Cz6vlOYKY5NHqar4NQN1gUuANNT7d7D1zPqKdJQ+Oum1QXRnqtDejqfOH/Hr5T\n",
       "iuTMRejGPBEOIlQhOqkXwV00KkTo+lPAoCCCCS8KJHRLWgcRQBxv8sGPkuL8PrdU3F3rdVBBpsyk\n",
       "cSxlkJxAuSxD3AQx2c8Vpk4aBQ+qmCNLTIW+9mfOovCXjouHUvT5CiIUtER5LpFnizQeN3fYZNIX\n",
       "r48SvFQR0vJVQangksChC7zgFM0Zks4JjXd7xnmkWPhSkAKgHj8qE1X6vgEa66CKikBCD1PjWKh8\n",
       "0kOkHEC4J0KBQ6TEHOho8h13ZlWviXtnukDs82hpYyQ32Ycuy90QYN4EV/JEGz45WASahi3Q3CRP\n",
       "Q+UEpSQ1TMbj8cR5LjlPpxpInnsXgQb1ingKQc7TdlVG542uzmCltdPdCtf9FAg86AnQgXd3IS12\n",
       "t2L5HEXonkTlrioOrrvI3E2m9zsg0WfzeGBPwvQ6uNDIASx37/JzV0DE+vp6Lby9PxQMUGgoWldF\n",
       "oRY+hSMBplv3EdBzwBehfvIghQPjnmoRKT+40tPPrI9mjWsIQ4WgKg0VXNpfbVbK8fExhsMh9vb2\n",
       "rnk0r4bG43E4H9QLRAtS+02BvSYwO3jwfnUvJ5WJhtPoYZifn8fKykrjHua40Es4P3+6hbWPqRpB\n",
       "bKMbDvxN6wjkTzdNKTXAw8rKCpaXl+tQRq93GtbTU4Qjj9400srKysSyRu1DVX6RkcB2ap6E7iHC\n",
       "FTzqiXDgr/Ncy40UNAHP8vIyVldXsbq6Wv9Hft3b26uPOM95pFT+c04Q/ObAA/tDZVqkZ9Rg4ne2\n",
       "4TJ0o2dnOGLS5XGuHNQCI4Le2dnBzs5OI0nNO1M7SJ/FU/eYpEPUqPXjfRxgZvpqhq8KKL3HFT7B\n",
       "AwEE0Ny3QNG0luGM1Naf0asrIOL4uNxPXpWfTgjgFNABzRP0lFdIqkR0C1oPJ0RWoFt1QHO1AOvC\n",
       "euRAhKN9JXofaAnpuQ5qNZOnVZF5wp+DZK8r60Sh1QWKALPOBybOMYnSl0z7Cij1Grll6PlFVLSj\n",
       "0ajhAeUYzM/PY3l5GXNzczVfkc9UxqjxwTqoR4DPB5rnHET9oLJSFaaOP5c/rqys1IpL91khv7GN\n",
       "5NsugAgCopwLXz+7h5EWP2X4cDjE1tZWDSDIQyrPVeewbJICPjfWyE8EEv1+H6urq9jc3KzLWFhY\n",
       "wGg0wtLSEvb29mrg2uYljTxPkZyMQITup5HTcS7XLkM3loWnQg9AI4NVl9XxPRf3ctSoncv7VXHw\n",
       "OrXa1E3kTMpBpfBRL0TbMs0c07mFGgkNRYQKOHKurJzHQft3mmltba12KerSrcib4sDKXbPu4tYE\n",
       "RZ+MRPUAJsbn5ORkIgzg4JBeCQJUXqfWpIMIrbcmdEVLhlWYkBcIRlm+8rCHfzRESAG6s7NzXcN4\n",
       "peRKQOcLAZh6b1T4Rx4m9iHng8ofAnsV5NyKWD0AVAq0LnXM1cOhPEW+bMvFiECmezL1d28TyyGY\n",
       "UY+MPsM9bMrX004co0huurEUhb7cIOVY8rPLdAV0ykuqb1h+FPJaXl7G2toaHnjgAdy+fRu3b9+u\n",
       "x4zecwIYDVUqGHFd4LIwAgTsG5VlRVHUBrrKNL/fdd9F6cY8Ea70FhcXGwo2J6xpmREIsGP5v+7m\n",
       "pQI7Qv+sx+LiYo10FekXRVFbF3yuI8CIqVWx89nqgqXAOTo6qsMqPqDupnI3mWcq6/18V0t6mmkw\n",
       "GGB3d7e27jwuF00cjquDSSpeFaYUHr73BBWHWmiRV4K8FE1iV9yO7p3v1Ep26ycad/K5x7lVgEVJ\n",
       "Z1F9NNt/2knHAGh6fgjAaEG6UCdF3kAHXdpnmifB8WY5/X4fg8EA6+vrWF9fx9raWsProEmQXgcP\n",
       "U6gij8ZK73UwdXxcHmmv4TuWwfALQzyj0aje4ZGKiuVGSmmayUGP6gK3zHmN5j1QNszNzWFtbQ2D\n",
       "waAeF5UB0R4j7tHShGetm66G2djYwO3bt/Hggw/ioYcewkMPPVTLq+3t7frMjdFohJ2dnXoztJyu\n",
       "UiM3An3edmDyBGLKETekPAxyWZ640XCGKjxNDAOaGcMqSNTtp5mvvJe7mlHxa7ySgsE7kcix3+/X\n",
       "eRK8lwc4cYI6+owGDzi1EFn/KC6rTOMuaVd4/N+XOvH/iLHm5uY6cVbCyspKHcMFmqfdRbwCxBvy\n",
       "qNWn1ph6C6iI2XfcPp2gRD+rsM2BCFV2zhPRmGh4RWPTWqaDCBVOTJRTPozAkVu5nDddARGqKIBT\n",
       "gainJzKXhPMbiHmGvzOM6aBLE+DUSKGyPj4+rt3SBBD0RHCe7+/vo9frNbxJnnCp/JTzGqkFGnmk\n",
       "+E6+Z7vU4zg/P18fPjYYDLC6uto49t49cpe1PG+C3AsReWnciqd8cEOCQFxlNPmJ/caTOT2Erft+\n",
       "8FnKB5ynm5ubuH37Np785CfjKU95Cp7ylKfU851hDIbjGVrRRFcfn8h7FPWBG0HkEbadZTmgVZ6c\n",
       "ek+Eo3JVnD7RgGZIwycR91LXzFbmHbDjqFA4uTWxUuOHa2trDdROpURrVS1bCggyDJmU9XMXqYc9\n",
       "+Bx9sY0qFFQpOIjIWZvaR10JZ9DaZj/oGuhoogAIJ5cqXkXWJJZbFEUjLEVhodYkx0JBaOSJUmvZ\n",
       "FYPWnwKCsXw+j0KD99BS4GZSQOmpGQwGtbfMwz26r77zC+vAudCF+DeA2iNA7416IDxREThdoeJK\n",
       "lhZjSqkGYQoifEzn5ubqDbn6/X5d3vLycg0guOUwjR/gNNyhwIF8BZyCOPUm6YoDruY4Pm4ez5yL\n",
       "kRMQq+LSLZ2Hw2FdbwXpKysrjTBXV1ZnaJ+ol1D5BDjldY4N27uysoJbt27Vc4vePM5h8pVula5b\n",
       "puumVdzfQes2NzdX65Tl5WU8+OCDePKTn4yHHnoIt27dwsbGRsN7RnA3GAzqsVFg6MauyhYg3ibA\n",
       "QVFpvpkAACAASURBVKeGeJUir2dU5kXp2jWOo3JVjkATVChCV6uEn5eXlzEYDBquJ0XlmkzFzuRA\n",
       "0GPB+Oba2hpWVlZqbwQBQ0qpEVcniFCh7Fm1BBHM0NY42/HxcQNEkKHVcnEQ4YhUwxicXC5o2Jdd\n",
       "ABF0tfX7/br9LhQcVEauOL7UK6DXqjuQY6LJeeQTAI2y2sIN9IRprFF5UPmEgITPVKDKMfZx7/V6\n",
       "tfDXVT3KD1QkvNctTBUqXQIRbAM9KJpD4mEDWlfqQXBvkm68pAmHylN6rSZLLy0t1QJfY9gEbrps\n",
       "nGWSJ9RLlgMRNHwUQGsc3+e2rvSiHDk5OcHu7i6Gw2GdNEhDS0Mxy8vLtcc1AujTSA6sSKpogWb+\n",
       "HBNg1euge2cowCd/KWDgEfLcXXJxcRGj0ajOLyBxvtJbtbq6OgEiNjc3sbe3h16vNwEilpeXsby8\n",
       "XMskzmsFEm2eK223528QbKsOZP+5HNM+vQzdmCdCY0oKHCK3PoW5TiJV1qrg1SXoGa8OIrgUSl+c\n",
       "kIeHh3WGNRU+nwE0rTt/Z/m8nxOc1xCxqmWkg0uGdzSqiNTDHKTIdTrtxE2ToqQfRdfKG9oPqjAc\n",
       "RLHcKMygYQ8qJrds3GvGMdDyWWflKw0jMcFNXeXq9mZZbI/m5tAFr1v9KpDR8JZa1yQVKF0CETof\n",
       "GKvmEjzlFxe07E/OOeB03Bygae4TrXsF6rxXw2DMtyIpL+p4st58HkEG574eIqVzORejdo8cAQgN\n",
       "Iconrig5OTlpAFWdP1Qoao1POymw8nkHNHMC3CVPsEcAyb5TDyH5ynPNnMf4v4bPeD2TKdfX1/Hg\n",
       "gw/i9u3b2NzcxNraGvr9fi1vCGTcGz03N1fv/xMZjx520P9Vr+qcX1hYaHjStT9zr8vSjXgiKKyB\n",
       "5oA7mMiBCDISJzRDCrrUU4WlejkckeokpJDQ63WwFaho3NPDJjmER8Z3a0iTnlSQ6GTR39tCGfo5\n",
       "FwqYNqJr371TwCno9AlFZavgATjtJw1JaN6I5lGwTI8j6lh42Sp0I36iVbG8vNxwx9Ndzf1NWA6V\n",
       "oYev/DcHi6o4NXzGuaPj7wmoXSCtN1fu7O3tNVy+CqaB5vI6HX+3rDwHRcfbf9f5xnJJOs8VoCqI\n",
       "J+/Q3U0eoWdJgaHOVfWWqnBn2VRmDMkuLy9PgBjyli4tZ34XgMaeFtNO6oXwEJRa7m54KTD0+RWV\n",
       "5aCU85ohLn7n+PKahYWFhrfn9u3b2NjYmNjfImc00BOlOtC9A1Hb9LOHvNTIWlxcbKx6jAxSLe8y\n",
       "dOOeCJ/E2inaOI/30IVMRaKZtEyWI7lg5n2K5N29yHpxBYXHrFRAUzFFyDFyQ0VZ4vpSYMDyI8So\n",
       "KJTXR/007TQajeo6q8L0+Cdw6qWIti93EKJ8xOs1NKWC2VE8KQIRDlg06ZGu49XV1Xo8GedmWzU3\n",
       "A0CDN5U33HJWUiEU5UMQ2Dpw6oonAjjd64PJbjs7O43wFvOogMkl0EBzFZh6f6KcLJ3TymvqFQSa\n",
       "Sd5q+SpoiOYdx5DyRt3s0diSrzQhks9nyI//M8yi/K8KV2UNQ2rkya6cp6JGBdA8tM/lqof2HCiQ\n",
       "3AMVlaegodfr1aFu4HTecu4PBgNsbGxgY2MDm5ubWF9fx2AwmPBesf6eMK2ynUYH6+n3uqGqMpD3\n",
       "MOzi+iAyipQPpx5EuJWsE9fRvN4DTG7b6xaFls/r1d2rSlsHT609fZ6jRTKQKhIODPMxqBwipnQg\n",
       "E4GIXB1U2OlkyAGHrnghANSK1i0pomh3s/kk5329Xq9hbbOfKFBUyPNkQyokDTm5ResTTxW3erMY\n",
       "EiOIID/osi2uD9ccjGjMfYwVSJ1FKlAcOKlLc5qJyo5xaiYpquDXHARV6OrN1LmqOU0OFNQCc6PG\n",
       "gbtbbA5APXy6tLRUl6f5CB5aIYhWcEi5QqXigl+VDRMJyW9quKiC0PCfe22nlSh3gdPdTF0uuuGZ\n",
       "Aw76OadQdYXe3NxcnWTLa1We86V5M4PBoJGL4UCUOkO9AiybwITgwL3KrleUl90Lxnc1WkiRR+cq\n",
       "9MaNgggnn/S8Xv+LGp0rmwNNAKDWmqJAnaBaDstQlxPjiC7g1ROhCtGZM3JZe3hClZZO/ohxIgDR\n",
       "FQ8EicLShRmtJUXb7p50i5LeKJJ6hYDTJE7mLPR6p/uEaPwYOPUEeb6FhqE0QZdAwkGEWk/c8IlZ\n",
       "9KrQtM6RxaRhHf7upJaIhtl0yWsXiCCCuRAOIqh0Ca4iZa+gPKVU79ZJYMrfOccjd657wPwZLE9B\n",
       "m/IMeY08rEtM3Uvp3iX3NHkyNa+ngmBcnu3hkmkHO7o6iPWfdnLDQOWBy3v3PpByAIJz0A09D11p\n",
       "aEjHguTGqY5ZlDBLHlHQq/qGeRs5z7IblpFh7uTGbU6PXIZuJJyR80SQooFXYRBZ4pGLUhGin2Tn\n",
       "bmB1aXqcXV1MjF3xObxOmVxXY7g1EIU4VCgo+UDnUGPkjeiKFwJoAjESwRi9EVEITJG6ggj9HYgR\n",
       "Nyc2/2e4Q13evvqG5VE4eA6EvnjoES1mlkuAwS2+VSlGPKD9Q4DJ3/jO//V3zYOgJ6JL4Qz1ROg2\n",
       "8xGI8DkFTI65ziOGOx2Yu4IGJndGJLkSijwR5Cu3Vn2JtoJkD2Xpks8o/MD66/P4G4Ey+YZ1U8Xn\n",
       "7ZpW0pUy6pV0WZeToxGxHJUXKmcoexQcMD9OQacbfSmdbgqohqKGJ1ROOxjkc3RnWs290/ke8WQE\n",
       "kLRvcuBDPaaXoRvdJ0KFIzAJFLQDvONdyKsFyQHxJVQ6eSI3pg6OWhbOJOp6UuBCVKlWH8vWZ0XW\n",
       "DJ/JejgQcsqBB+2fLggHAI2ti5XJqQjn5uYaYSRNBKPgZF8p8HCvgvaT7iMANC1SKlrtX510zJ9h\n",
       "UhuXaflGRnoPBRGXgTFzX8MdrANw6rL1MeZvPg+Y46HWsXohCCC64qHi2Hv9VUFz7nl4kOMVeSX4\n",
       "Wd347uWJgDpJLbUIxJMUQHBs1Svm4RHOcc3d0eQ6l2/OKw4mNXyndVV+pyevKwYH+7HNePLln3x3\n",
       "IAk0ZbzyC2UAy9aQuHquvRwffzceXR670ct6Mq+Km8o5CFSjxI3oNp7MgSu/v5OeCLWy3H0foX1n\n",
       "GhUwLrB1K2WWpzE1R4hR+YoYHUSQ1FtBBaE7ZTqjuJDTAXfFo0ozcmtFoQwta9qJlmYEIji+KjS1\n",
       "Lz2mTOtN10greo88DF4mEIfdqKiiPIhohY/yL4UTQYRmhuu2vAoc1FXvvKnffSkjcKp0oiONu0AO\n",
       "InzrYXcjc67o3gcqwPmdPMNlosDkiaHKC5FMcBDnLmb1PDg/Obh0ZUMQoa5w9gf5QeVWURSNze7U\n",
       "stVwnys49ldXlv0qgOD3HJDQOQNM7hPjY6LeLE1G1DHx0ETOcONn90BHsl7rpzzDvYsGg0F9nxsM\n",
       "foK0G+cuK7wv2/rvsjLixpZ4OmrU/31C50hjSRxYtSh16YwCBR809wq4KzNSKPq/1ofCQVcEqKKK\n",
       "ELHfq8JPs6pZd6C5gVD0WV3/004O1EjK3FQqpCj2yclLAJdSauww6mPoCtl/0+eoK5nhMd0wjFan\n",
       "1x+YHFvNrB+PxxN8wntyL+ehKMRBHlAAwXK7QH50tvIAz7PRMZqfn6/Bu4JuVRwEgJGnQflMAVwk\n",
       "ZEkqS4DJJb96Hcv2cYyAhPKczn1VILpig9eqFZkDQTpHgMlwwLQS20dypcrfTk5OGuEgjhn1g3tx\n",
       "3DB03onyVnIWvXqGcnLXPcyaW8U6a1g0SvonqNZkaQcU/s57nZddd7icvQjdyIJhnaROanVFypak\n",
       "VqhOWJ+AjsY58T2hMWIQVWoRiPAyVVi54FNl5YAlB2oc3ORc8x7WUaulC0ojcgeqkI8Ap45VhPJ1\n",
       "3NQC1/vUko8mmgr5hYXT81V04xpNoNI65NzjagVy6RhXiui4al3di6WKh/0XWUMUOAoiVEhOM+lW\n",
       "9T6XNFMfOE1oUyDhxLml6/FTSo35orwQeaRYD5cXDvw1Kc4NpujeyDPpOR4KCpXvVblpvVmWGxV8\n",
       "V37tAmkODNDMo1IZoYqZYQmutKBcVtCn8tfHwRW4yhedb05Rn7pXROUAtykgMHQQ4bpKQQTP9vAD\n",
       "B31PmMjrkNMbl/VM3djqDLWUXYDztyhsECkOfY+Urw66MoQj/+ge90poO/ydZamiUoToyl2freg5\n",
       "qovXq40J3LKedoo221Jyxcp3twLVulCA0Las0RV3BAipGHxiR/kPEX/neJRluGDU8VNe0s+uPNhW\n",
       "5wEVLEB3PBEa4lFgpOEtvthGjkt0yJgqZ+B03DUhmr/7u754rcsNnce6q6GHC1Q+tClwfQYtaKD0\n",
       "2vEwQF3Gqryv95NUDqjh1RVDw407YDKngWEuBw/60jwQl9dqeDqIc7mr+64ooNf65gxQPkvliIII\n",
       "lScKTLkdAZ9/cHBQn5nCHTf5cgMsBxw4x6IQ70Xp2kGEC1p3AanCdBegdr6+u6AluXDVwdSEJ05+\n",
       "ZYScJankjEFylySZz89gUEb1JUNUDm6J6eC3gQev0zTT7du36xMZdZxy7kv/Tye6C1QV8m2TOnJv\n",
       "KrDT5FxV4CpAVLgQuLibOrJwva5aL1cSOXChSk95RvMIugAoSVyCyPF2AKaWKPubW/z63hvaZyTO\n",
       "eZabs74iQOdg38eYLy2TZeSMFc5hTYD1OqryZCItrW/NEdG+Urmgsk9zKrpAbiWz3u7hYb9HoTAP\n",
       "dahnIvJGqxdTPUEEuHxR+TuQ088RHyk4UIP18PAQOzs79Ymf3DGTngvVeeQRgoeDg4OGPGJentY3\n",
       "pzs644lQgKCAApi0mnUyKGDQLFlOMt6vFqh3jCIstWx18rMc3uMAwhFxxDAKdtStqRahMoCv/3br\n",
       "Rwf7LEbI9fc005Oe9KT6wCCiaj1uF5hcKcG+VwXqiVOueKK+JTmvUTA4eIhCYKrUOHH5vy65i7wV\n",
       "5MM2F7mCCFcKPn/c4vAzM7rADwDOPOI7Akm+tbd6mIBJ7yWBgOYd6PU574Mu34vGKWd0UC64DFHB\n",
       "rQYPr4+UI9tIC1bb58pQ+YwgiLLT2zytpIAgAsw6PhGA0IRV/V89Mv7y+UTrX8MHx8fHE6cPR+Pv\n",
       "c1XljG58p0Cl1zs9fG9ubq5ereGea54fRQ8VUI45PXKcJwQ/ejS6G22dABHKAKoAIlJh6sreBbmj\n",
       "KT3qmR3nqFPX4aqAb6u7MhRBhlpHjvDVIogsHrUwWZ67zXRC6CTS7/5fV5QFgHojIT/mmYCB/ekA\n",
       "kW2kEnDvjwtjChD9Tccp5xmKPFJuSXKMdTyisYju1TkRWUXqoSCPRgJVSa/RMFpX+GI0GjV4Hmgm\n",
       "uikvqDeCgtX7iGPE/gXiJXYkHSN+99Cje0Ejct6NFIwbN27gsO1qbTsoda8H5Yh7NtTDRoXbBZ6I\n",
       "5J+DCKDsM5XLPmcjeeKAnuXwP9UlPBpc5YiCQzdOWBYweaq0ApHDw8MJ4A+gfi6Axr5GuseNftY5\n",
       "wZwJ/13DGG6UeD9chG4sJwKY3KYTmIzpRa5lFe5Ac6UCB4ju8dFoVDNBURQNDwaPntbneh297rQ0\n",
       "WWYk2KhQWK5eEykZH7gofKGD7BZ6TnF1QTgAwNbWVmMXPRWIal0ow7O/CB7Urat8RQGjS7fUGlP+\n",
       "ivZ38H6PvCPqTfBrIz6KrETyDfmF1+Xu4/O1HhFfaF26wg8A6t0pgeZ5CTqP1JpyEEG+0LnEcdaQ\n",
       "kSrjnIcJmJRHnnAX8Yfep7LBx8HnsN+rispBhoIdVWysh3otCKQdALUZTtNCEXDm736dGnsKHlRG\n",
       "67VunKhsGY/HtR7h8eA7OzsATg/jojcg5/Hks8ijugEc9dT+/v7E5nBFUdQggkavJnWrJ4x8rYb0\n",
       "wcFBI9/M8yFyIOKy/HDtIEKRr1dYJ4UOvLrpongiB4hJRzwSd29vD7u7uxOnbxKtRh3WJvyVOTX+\n",
       "ROFE95hOdnd5OuJz5ajPiP73a9sQZBeEAwA8/vjjtReCgpaTQvvTLQ9OmCi2qaRlAmh4DRiX9PAY\n",
       "nxWFj1imjhXL1WdG5JaogkUNp7AM5XWfH1qPCETkBEUXiBZUZFTo6qdonJj/kZsjCtL4mfwWGSn6\n",
       "fPcMaZ8qSHXl7IDAKQIh/kx/nn92S1jlhcopBxBd4Ik2IyoHCnIyltfqPeqtI5GX9vb2MBwOawAx\n",
       "HA4xPz9fb21Puesg0OtB3aT5C/ri8/g/7+MGetzMjmBHT4FVjzdP7NTtuYHJ/YQi3XMV/HDtIIKZ\n",
       "ox6GILnbycEDG68CVjuFA6KokWXqOn8iR1UE7pJ2JlChpS4hoFQg3DOAwkljrmwbnxm5NN2TAExO\n",
       "jLNeSleBKm+CHnnkkXrc+v0+1tfXG2dQECRqcmD0TpdtzuKmB0Kz2mlFcLKRB/isNquRfAg0DwVz\n",
       "d7fXgbzhFgL/p8JQnqfAZ70jt24bz3aNNJzFfoqMikgG0FCJ8g84bh660HmnHgf+pr/rGCjAJM9E\n",
       "QJb1j4CE87LygFPuP62jkoJczeNQ4+uy+wLcFDmfn5dy/a1K2v+noXh4eIjhcIitrS0Mh8PaIOWO\n",
       "tTyps9/vNzym6s0gb9DjoN4H/Y11VcOJBi91GvMnlO/pbYgMcJdHnpgaGR9ujN4tXTuIODg4aCBi\n",
       "drhbHQ4kVKlq4hSAhnLnoBBEDIfDOsOVli3X+iu6zyEyR8D6XXfR04mp8XeNO7pr0wWZtkk/RwPt\n",
       "yiKnVC+bJHMTpCBic3MTa2trdULR6upqbQ3oZOfkUmtKrfycUtCVPXqQlu4twJUVnKwO6CgUNE+B\n",
       "/BQt1VVygMnnMCaqXhhe78LB3aVuYXQdQAAIAZoKR51Xbk1y3pHcc+nzzkMEHrJweUTifSoHFEQo\n",
       "YGjzQrBuWqfIm6Z1cY9W5LXgHKEMIF9GYaAuUCSLvR+cIu+dlqV8pnOJSn80GmFrawuPPfYYtre3\n",
       "63FdXV3F8vIy1tfX603nANQeBJatzyNYyIEIXQnGutJ7QRBB40NzMAA0PGcOIvSsFpdl3h+d8ER8\n",
       "7GMfqzftAU7jdBEp0/C7oiR3cY/H4zqMsbe310im5DIZuoQUkXMyKZN5PgLrymRMvrgskXkYLoSU\n",
       "/LsqushlGVnBOcXhDNAlEKGxwZOTEywuLmJ9fR1ra2tYW1urD6vShCmS8oBOIr67AOEE1JcrZY8d\n",
       "8kVXJHAq1Ofn52vPlifaEfCmlBrbThMocHkXy6ZAZz4Aga/ySQScI8BwlULhXpDyuXsiPJzhYay2\n",
       "Nvucc2Ml8n76Na6AVXGw7Ag8RuU6qaHhXhb3hrjXLfrPjRNVkprcN+3kxiQwuTpOf48Ah3qrKPsd\n",
       "lOu47u7uYm9vD3fu3MHW1hZ2dnYae8XoKkENi+WeGW3hTn1GvtaVYLxfQ/Tq8XTDVb2oBIrA2byX\n",
       "M0gvStcOIj760Y9ifX0d6+vr6PV6E0rZgQPQdFX7b+7GZB7EwcFBbZEsLS1hdXUVa2trDRDBMmhV\n",
       "KpP6ygigedAPB3x7e7sRix2NRrVyoXUboT9VCPzu6FLd2NHEyAEJ3tsVS1SFcq/XqxH++vp6Hc7o\n",
       "9Xp1bFDvU0Wjk4Nj6RZp5Lbk/SpgfTtZPVFSeYBnYTgg0ZAIgAlLlR4xPl9XEu3t7dX8rgA78pZF\n",
       "Y6/t68L4t5G3gQJUf/cVW22WKck9VLqyJwci+J+CSoJfvZ/84daylqcywflWgZOCWpUR3hZvl4IR\n",
       "lql8ydi7AuNpJvfoKoCIxtvlpOYdqT5Rb6Aq+4ODg9qTvbW1he3tbYxGo9prqdtUqxeARrHOS+1z\n",
       "DX9xnAkIdEMp6ifm8lG3jMfj+vmqKxTg6rkarmMiLxb7K9K9F6FrBxGPPPJI7R1gXCkCEcBpVra7\n",
       "lYGmAtBVGZpMyY5dXFysD0py1zUZS4EEgMaAK4hgecytODk5qd1RZEAKf1964yCCFAkBd7ueF0Dk\n",
       "+nKaya3Ofr+PtbU1DAYDDAaDOjuZY0VgoP1BIp+oQiG/5Tw5WpYus9ItZClYRqMRlpeX6wnPw3Ii\n",
       "LxBwysO+bJWCQF2nykMppXoTGrYr8jp4OyLrU+ks5TpNpP0JNC18VdBqnbm1miP3GCqQcGXv3gkK\n",
       "anVPLy0tNQAELVIPZZ7lhVBQobyqnlKVU7m2RsrCLW1N8pt2ilZeAfl2RvNcDUb1QgDNU285ttvb\n",
       "29je3q7zIQ4PD7G2tjZRF/UUKXhjXdwLofs0AM3jw30jLPKByiXKHjWqlTf91N5IPkZg9ar0xbWD\n",
       "iJ2dncYJiFTSOnE4wBGzkHITgut4x+NxnXWvk1cnpFsIylQ+2Jzc6rKm1TwYDBqJOPy8v7/fYKqc\n",
       "tUjS9rsnxL0ukRL0clXoTju5UM8t5+W1+q59q79F4SP2rycZRV4tdfnqJjOrq6tYXV3FxsYGNjc3\n",
       "sbm5WVukvi6f9fZMaFog3E6beT6j0aheh675Nsob7i6NgKkKHt7TFV4AJnODVCYAzR0nFQQo3+j9\n",
       "7hHQ/BiPF/s9/M4x2dvbqy1TWvM0irQeukpE25RTfPrcyONE+aVJ4FpntW75iuRFdCrqtBP7UwGA\n",
       "zjEd2xy5Z1dzajhvNadua2sLd+7cwd7eHg4ODhpK/+TkpE7aj7YfYJ8zPMn8itFoVK9E01Ap5zGN\n",
       "UI4dveqUA0zqXFxcBIDGfNC2KEDUvXfc2PAX+/VSY3Wpu89BOzs7WFlZqTcYchABYKIh7rrib9F6\n",
       "W4IIegM8QYr3KXDgJNIJGR2hrAKLQozPZhnMwyDzqCJxUOTuI22bTn5VHup9aXNjs7yuKA72rU7G\n",
       "aJWDvwPNNfL6m/eN9re7NnN9rPylu8INBgNsbGzUr+FwWPMjy1MB51YB26vhPAoOgmDN1VG3awQm\n",
       "tB95XeSp6oonwj0NUTt1HkZ5LjrH9D4Hq+6B0DrwHgANELG1tdXYEItCXcvWuR2Rj0XkQfTfNC+I\n",
       "iel+v5Yf8bYaXl3JifClqe4hciPQKQJj+jtl/Wg0wu7uLobDIe7cuYM7d+7U8p1jShAxHA7r8CbD\n",
       "5kyyVMBG8EDdpLuxqofEd+mlLNDjAOgJV+M40m/M0aPccq86kA9vXFZnXDuI0HWwHLgIdbtLKJpw\n",
       "nAB0M9O9qIhVLQhdXureDlc2HrsCmnkG6ilQgabhEGVstxr1WS6sXNlFHggvR5mI36PkzmklFwqR\n",
       "kFcAEbnltC8VmHICqiBW91/k5eF1vrZbl35Gyof3uUXYBlaA01iqei58QzNtY8S3JD4j59LsAimw\n",
       "5nhxrvF3vjw2reEu9wL4vZFHIJJH7M/Dw8NayYxGo7q8paWl+ohu5Uv1YjqIVICkddRn8xrmWLgl\n",
       "7X3mwNL5XhVWFDefZsrNe5cdpGhuRqBrPD5NXtStAZhYWRQF5uebR3SnlLC/v4+dnZ26zxcXF+sQ\n",
       "LOvFMpmgqUma9DKoLnSvkO97wufu7u5OhNnYJ6rvtOw2WaBz4LJ0IztWkpGJjMgMOqHcTe/vRHm6\n",
       "aYfueKiuPPUK6PI6BSzq2tYJp51OpQKcbkfKsx7U1aUKQq3ICDAoRSAip3i0HAdFZAgubZ12cuCg\n",
       "3yNPhLsu3VLVd7c42E+u3Nm3fJEHNFTmORL6n05SXsP6KkXPyrmhmSvBJCqNg+cmvc4vCo8ugwiS\n",
       "jr9bngo4yTs+9m40aJkRaFCPDnmBMoYgQmWKWod8LsdWKQIR2t4I7DiA5PXqIdXfFEjoXFB+U+XU\n",
       "Fe8UMCnvlBcUQGrfqSEHTOZMeJLs7u4udnZ26jAGV/Ztbm5iY2MDq6urGI/HtUeKoYr5+fl6VRmB\n",
       "7fHxcQ1Gtra26iRNJm0SRKinM+Jx1r/X6zU83J7P454IXwnivBEZo5elGwERHu/3wdVr/bMqeUVb\n",
       "GmdyxasgggdiqbJyANEWJuAk1LMe2Bbg9BwHjYtHblXgbGXgjB4hSTKOAwldlTLt5JPGQUSUMOcg\n",
       "QgW/9hvJFYRbJwpsKZzJO54fox4wCh7lA/KmKywFtj4HnPgcCnl35ebIBaO6MLsEJFwukLwfcmEJ\n",
       "jXc7gPQyScofLmR1rb4eFsdn626nDlxz7VLDKTeu2sbIU6aGivJfxP8OItTbM+2kddW+cqPCla/L\n",
       "DdcNVLrUI7rTMec1k6dv3bqFjY0NrK2t1fvWcPXG1tYWer1evaqMoHI8HtegZHt7G8PhEMPhsPZO\n",
       "6I6V1Ckcc10GrvKKQIPeSw3bsz3kV8+HaNNvnfJE+CB65XPeBwUQmsionaSTzl3DjC2dnJw0EBzQ\n",
       "TGqMLBMX/r4+3JU8X7rqQ5k8cqVG/eSfSX6/XkPLiIw/7RS1lcCIk0R3eFTh6G5hBRN6LftIhQ//\n",
       "VxDhHgJF8bz/6OgIw+EQKaV6MxrNoYlcynzX5+lppVQ+4/F4YvUQhdx4PG5YHFE/uutdrdWrdFle\n",
       "N7mb3T2WpMidreEMvqt3MvLM+Jx3WRCBSQ+TckwZF2d9CDL08CTlMW2fGwzuCdUQqrbZZarzoJfP\n",
       "97Y8gmkiepkdFPsciwySnIf3LKOg1+thZWUF6+vruH37Nh566CHcunULa2tr9bHzAOowJOcoZUOv\n",
       "12scwaAhEiZbUgaoHIg8DJ7Qr3N8f3+/NrbUE5Ez1EmRDor08d3SjYUzVEhEAs4tAZ1IOTczLQ1f\n",
       "M07Aocres7hVEbsbNIfsfBJGIILPbkPLORCV64sIhfM6lksvRBdARATc6E3xw2bYpwQZDsqi0JED\n",
       "CwcZKlQVOCio4H0UFtvb2zg6OsL29nZD6efq4a5EuscPDg7qtgKoeRM4PfVPd9DUpcPKJ85z5FcN\n",
       "q3QZROjccbmh80lBFj0SCgApgJ3XgEnvH9DclVLzYhx08prRaFSHEXUpOMOKtC4VJPDZrtycZzRE\n",
       "5aEceiqieaQyV3mdz+5C3pQmsZI8RMHfHGC5kaV9oblHGho/Ojqqx25jYwO3b9/Ggw8+WIcrOJ5q\n",
       "rHLFDr0UlP2+OsO92Gp4OIBwMKFGo85z91A5iIiAswPyq/JY3hNPRNt1Psl10N36AzABIjTmtx3b\n",
       "wQAAIABJREFUqGEL9UhESJXPjJb5UcC5ImuzDpndy+VgdD05CHDK/ZfzRFBIraysYG1tDRsbG3c3\n",
       "QPeIXOBR8eupdQxFucfhLPc+392T4cI1AhEk5SsAdZY+iWXT8lTLIWofQ2JcBqxnemiCJcMitD4j\n",
       "d65bm+opi1Y/dYHconawwDZHVqfzRSRvIvCg1/KzKhpVuouLiw2gRq+Pbkam2forKyv1GPqSZa1D\n",
       "ZEUquOB/5MeoTTlwGb14zbQTz5ZQXgDi1VoRuHRDAmiCCTUSOeeWlpawtraGBx54oM6HWFlZqfcE\n",
       "YZnki4WFBWxtbTWMR91B2b0P7imIwri+zF35RvWh9kFkBDnA9L5SPXJZulFPRBTj5zW5lya1qVdA\n",
       "mStaA65gggJBPQlkBhc4CiIUvfuAOrk1SuEeCUAFAarsXFFEaNsFxvz8fO2C47bR004+BhSWKaV6\n",
       "QzK+OPb0OgExvyixT11RRGEq/6wxd3VJs64KYqkkdL9693apotfdDnmfrjN3EKJu7EiQqhWi4bau\n",
       "AQiSeixV0CkAz4UIgUngFilP8hHfHbhoYlpRlB4jboamoRO1OjnGCiDW1tYa3hWVLT5+OoaesMuy\n",
       "ySfc0TTnaXO+VxnTZrxMG7k3NwKLOSChcsLnAseBCp+yZX6+PKXzwQcfxO3bt7G+vo7l5eUa4JMP\n",
       "SEtLSxgMBlhZWcHy8jIef/xxFEVRexrPs9mUgwbPCYvaQp7R/9wgcm9EJCOvkm4URLQ1ypWCCnz3\n",
       "RLhiz7mBgGa2tQseVSwq7NUqVUGma8EVDEWMqnXnNfruwisSilp2TmguLCzUQmttba0ziZXaBhWu\n",
       "3B6aLuHxeDxxVsF5rCsHW2eBBwp8TXDSTV4A1EBgNBrVQp9jQA/K0tJSDSiorDRHhwfvUBnws7pt\n",
       "XRDQqxXxmYMIltk1EOHAW5WCeyc89h2V1SZfFEgAzeXSLmO41E9B3MnJSa2A9FAlbqrHQ+RIeh/b\n",
       "p3Xy8Amv03b4tvoOpLQdOeoST3ATJvaVAugIEDmIoKWvHgmVA7rSjsbY6uoqnvSkJ9V5EMvLy/W8\n",
       "Y+I6ZcPq6mp9mufS0hKKojxXaTgchiBC+Y7l6TkckUfdQYTmRjig9VcU6srpmMsCjBtbnaGT5Ojo\n",
       "aGLA9focmFCG0SQmdwW5pav1cKu07XnRQOrz3R2kik7DKSqkPGanSjCyNvV+nShUdjyedmNjA8vL\n",
       "y63ekmkh7291DxOh9/t9DAaDWqBTkZ4XSLTxlN+nSkkP2dFVIhwPCgzuaMcJqxamWo7qadExjgS+\n",
       "CgbyiCqIXNxXlzC79dYVUgGv7aCX5jzWlI4n3x1wKN95/1BGaHiN5SwsLNRgYmFhoY51M4GOzzw8\n",
       "PKy/EyBT/jHc4WOj1jGNjshAUc8F66fzXcc+4gUtc9ppMBg0wCPprHmt8j6S1/yPvDY/P1+Dgc3N\n",
       "Tayvr2NlZaVOWnSZrsBTz9LZ3NxsbDxHEOTyymW4goacktf2ejg2Mk4jGRf1X9uz7oZuHEQQmbET\n",
       "lbmVEfSzThygebqfZvNHseloMtNy89CKD4S6kV2p873NEtbJzmvdo8FrVQE56lZSBiyKoj68amNj\n",
       "oxZQXSIFEewrTs6VlRXs7OzU46aHHJ1nojhf6Wcde53QDiB8iaGWo2uxnWcVRCjYoGJ0ocZ6qBch\n",
       "sh5YJ/I1QYSCji6CCAAT/UTL6yzXrH/PeSxc0UThsSjkSh5QMEHvg568qgl0KnPI4/1+v95MzAW4\n",
       "hlC1/nqNh+S0bc4nzjNnAbBpo9XV1drozM1nN/wiueweCr2f4UvmQmxsbNRhDJfRQDMhHEAd4uBY\n",
       "8z8m3PIZWlcdl8jrkPMSsE2sg8oB/s/ro5QBLUv75SpkxLWDCKC5Gx+TFSkwXemd12rUtdq+NAaY\n",
       "zCtQFO8uS14fWSZOjvxI6h7159K16Qzh3/Wz1icSDGw3Qxmrq6v1JkVdIoYrmLBGpUiEf+fOnfo6\n",
       "Vyg50v4EJkEFr1GQqECUcVB3qwOogQxBjcavqQBUQEWAxYWE8iEFvnpdnBd07nDpGZO/tP2Rwp1W\n",
       "8j5k/+dWLpxlYfE9mtOugCJgqcT6aLIvc3e4Y2VKqeHKPj4ut1RWwMffo+Q5bR8NJPc6eZ5ESpPH\n",
       "W3u9I0u1C6TKOSdXcy9X9pFipoxlaGJjY6P2SOhqqcjC171lOBeZIzEajeoTpAkeATSMYAc2Koty\n",
       "IML5m3NFfzuP/tLfr0pX3AiIUGuTS1+IACNhT/JJoJMuCmHkrK8oh0GRqTOKfo4QpE9I/93/j0Ib\n",
       "5x3AiDEIIuiKY3yOz+oSMT7JjVhoYXHHuMcee6xWqO6RUoqsEKDp5dFrddIyYc0Ft1LkudD1/zrW\n",
       "fCaFUPTitU68Nwci+J1WEOv96KOPYmFhoQFqWNcukFrYOj8jL4/SWWAxIgcikaFyFvB0rxW3R+73\n",
       "+43libRKgdPYtebORIfO0bvK9qul694aBRh6vda5i+Q71wJnrzyJgKDKb7fkOW70QnAZpxoDXo6C\n",
       "XfUe8VqWubq62gDFmqxLcm/ReQAE79O5ktMnbpx6mVdlZNwTELG3t1evnc4J+ahxtLQ8i9XdQmch\n",
       "VgoBPksnn8a99H6gaUWqtaeMwMmtz1eXVhvq9D7wF8ugVURrfXV1FSsrK43kumkmbdN4PK53BqQ3\n",
       "gglqm5ubE65FTziLyuXnnHXJMfCVGL4fQzTx9F4e3wtMLlEkqYdMx94tJg9hOWjg81UArqysYDAY\n",
       "YGFhofZEMTucAqYroNLjvOwzn5c+t6MxylEkF7xvXTErUW4wfJRSqsED9xJYXFzE9vZ2ffgSPRLa\n",
       "vuXl5UZ5wGnIhOCECs33FXCw5aA0AhDntVCniTThkIA4An8ET/wcyQAlBflM4l5bW8P6+jr6/X49\n",
       "Z+htIOl8jVbUeCiWq3PoidAwVySP9J3Pi9oMoAGu2f5cCDwqU8u9CroREMGO57IaHg8erWlnB2l4\n",
       "wNGa5lK4wHTXlyoETlhNPFKLx5dWta36UHJlr4rCLSgmirmrMjfw0XN0Rcbq6mrtgiNDTzsp8zLT\n",
       "fTgc1ru70T3IRKfBYFAfjMNQmHuRIkvflYJPomhsI8uWn1WIu0LjNa541F0ZLUHmfZ4k1WZdsH+4\n",
       "tHdubq5ejqZbwXfFCwGcunsVhLdZmm2COBpDlwUOHqKxzAlaLYchJQDY2NiowR09rgr8uOJIlzAT\n",
       "eKghRE+Eyw6Vd9Fqs4hfnM+65plgX2sf8D2Sry4XtBxXvJpPRx3AfSNyYUf2P/WE5tjRK8Gxpnd4\n",
       "cXGx3jvCQWHEYzneV8OLXk62RROQ2X43ZnOvy9K1gwhF9XTt7ezs1MugfM0rlX3k/o+SpSh0XDE7\n",
       "afnsOPViRGttIxChFA1A5AlRAcl6al3OO7HZBxRUm5ubDRBRFEUnQAQppVRbatxnfnd3F4PBoAYR\n",
       "a2trGAwG2NraqvNpNG+B5eSEqYK3HIiIeCaa2B6TdutXBQ3r5WDVVw/5RFZe53clCj+uXuH+BcvL\n",
       "y1hcXKxd6Yy9d8HqBE49EQ5+7kbwOZDI3cdxyFl7OeDhv3Fs9Sj7lZWViZ0QmTRMvl1aWqpDH7pD\n",
       "q/KIJ+Xqs1WO5MCiKh393iWKxsdDTewPbVtOTuv81DwoGqU0dCM5ovfquOjyao4zPcWrq6v1eNN7\n",
       "tb+/DwD1Khxvn7crkg2sK2WYgog2z2NUpvbPRenGPBEKInZ3dzEajeoT09RDELmggEnh6nHSXq9X\n",
       "7w6pSiESDloWJ2zEOG0KxpnJl9x4vfW+HGPkFKHWm7kkg8GgTgbiaYJFUXQinKHtGY/H9RG7POmO\n",
       "O8XRTcw12wyHMSM+cgOS2B/KU+Qz1sHHRoWE19ctGbdG1aVKirxTLE8nvPNltCcE/2f+BkM+Kysr\n",
       "KIqiBhFUProyoAukfRt5E84LJiL54de3eSLIFzkFFYEIjq0eyEXLlCs2dG0/Q5HMi/BEXuWniEd9\n",
       "+TnrqMozBxhyRta0kSvsKJTFdx8jYNID4+Uo+OOYcdyAfDKm1sNBBD0MBBEca4Y9dft0DctGPB3J\n",
       "GdcNDqzOAgM5sDL1IEI7npv10G3NfedVCXqDIiHsKJBuJJJOsOhFcEA3JMvk8zSGzTbo0q8IPLhX\n",
       "JRIG2h79v80lqf3BPBCGMjY3N7GyslK3g/077aSTgy7Evb29+oS8W7du1ZYa2/n444/XR+m6onXL\n",
       "IwIXkYeI75rpHF1DckXjuQ5qHbJuur0150BkEWieBese8b6GMmjJHh0d1Utih8MhgNMlgwqcpplc\n",
       "UUSCLvebAoccAInIlUKufFXmVDhRv/q8p6XL/C/+7ivLclavKxL9z7fCdtDhXhkSjaZpp2ibaGBy\n",
       "fipI9nGmXIjGWeWG7lOjIANohgX82Z4XoTl+mq9XFEXDM6VbevMeb2POWDkLLLbpkeg5nQERfB0f\n",
       "H9fb/jJGxGQWjQHyPpIr2aIoavTHQ050f3JNmNMJqzEwPi8iz2lwpUdm0y1yiTL92RF4OM+L92gf\n",
       "Mtam52QQRJCJuwYidHXGcDjEnTt3sLu7WwOJ1dVVPPDAA3j00UcxNzdXn1Wg29FGyp7EPlQ3KOug\n",
       "dckpKy9HSXNzNNdFLSMNmURZ3QoOFhcXayGkib+umOiFoDXLjYzIC5wfXVEYQNMTEQG+6OX5E/zc\n",
       "5skAmlZmm6XrAtbDUE4cNwV9BHlslyqC8wp8f+nyQt8roE2G8LlqPE0rqXGooW1gEhjm8mT8/0gp\n",
       "A6fGV24FhYIRV/SaWKl5GT6H9cRQ9VoqcNHy+Z8CQ465ktYvMp603m2A/DJ0IyCCxE5n0tHe3l6d\n",
       "EOYN0Q7hoKgHQt1I3IqYA6V5DL4/uYIJfUXkzKcIUZNqlBH+f/bePEa2bzsP+nZ1V1d39XyH33vP\n",
       "ThxDIMLmZQAZRwLbeUoiEyzLDqAI2+A4xApRDEGIhCh2HLBjMEKghCgxAYKTCA8KJI4BowSClTiE\n",
       "GBQQOCgxAozHpzf97r09VndXD3X4o/rb/Z2v1j5Vt/vevnXuO0sq1XTOPntYe61vDXtvZlbrIVJs\n",
       "hwuMkgdCGYnfCbSGw2FejcFcCPaNotxlJvX6AHdAYjQa4fDwEEdHR3j27Blubm7yqXr7+/s5rNHr\n",
       "9XLuh4+fC03+Rj7S36MxVaXiQkffI9L7eS2tRqBuXVFAKNhUz4YrSu6kSfBALwR5mit11tfXayGN\n",
       "NvADUD/F04FC6VWytvmbk467ehJ1nul8dy+AAzKCR+WtCKx4HkzJaGCZ3gdaFv9zXiWvKZDSckj0\n",
       "ZC07vXz5MitdoL6bK1APRzqw47jwGvUuqD7htQQO1Eu6ms494MobqgNIHG81bsbjMU5OTvJrNBrh\n",
       "4uKiZnyyLnzXl7evpEMiQDAPkL4JelQQwQGj0h+NRjn27dcCdeQPYGbgHEgwTOIJkRqaYLxKvRL6\n",
       "vw6KKxP9rmBGmZRx6o2NjRr6X8Tlzj4oMYSCiI2NjZxPosqqLTkRyvis+2g0wsHBAQ4PD3Mm89ra\n",
       "Gvb29vD06dPsedF+j6y/iFTQq7BVZcJyNTwVbegSWZJanrpYlV/oLVOLBUDN9akJo1pP9UJpPJ38\n",
       "rSCC3hDfUG2ZKXJbNwGIKP8IKFvjPkZUxApegNldIRWsuAVHflLgpwBSFXo03/0/LZt1UVJjyvsn\n",
       "UqR8nirEtoCIDz/8sBYipsx2q9zldTQuSgpG+B/1yMnJCU5PT2dWOPF5Gr6mzNIdmCmLqFs4NvS0\n",
       "jkYjjEYjnJ6e5gRoBSwkH0eVbQpWIxAKzHpXI2O4VSACqE8KVp6eCIYiOGDA7Hp/krqPfDkLn6Ox\n",
       "bZJ6MaqqqnkrVMG7ktBJyjJdAOlBXSxPN8JilnzkvowsEP3s6HltbS1vLsVEOq1XWyxPtk8nBFdp\n",
       "HB4e4vDwEKenp3k5J5NI+eJkpMueeQRAXWjqb3x3oe2AUGOcamW4Reh5NvpcV4S65ToTt3RjK/WY\n",
       "6YoKLY/eBgcQ5LvBYJD5gv3hgGaZKXLrRgpdQV9kkelnF7AOBnz+sh66hE+XUmr9ONeVl7WvVaao\n",
       "O5wUCfDIUnRQ4laxg4jI26btbxOIIDHMB6DWfjce2HaVK5475SCiqu4Oy2I4Vb0EmryqMsLzITzf\n",
       "hXkwnPfcJp3hd569E8kq51mVMaonlVzulQBE9MyH0qOACGAWZdN9rZsMeaJaZLGqdUDLnMtodLmU\n",
       "LqfinvUcPB3cqEN1wNRqLCXzMc7IeDXrAMwmjAGzbtWm/iJj0pXNI7/ptqYwbJMnwkmB5dHRUQ5p\n",
       "nJycZEtkY2MD+/v7+NjHPoYXL17UNvHhsk/dLMoRfPRM9zRFCD+lNKPgnBxEsHytC4l8wj0DyJ/M\n",
       "4lbwqkThz+Vi2oaqqvKSMvVQtQlEuOJUq0+VOnOe3EPkuQZO7o3Q8ddnqxdKPR4Ea1z6TQ+m9q8n\n",
       "xfppqvo8ttm9Vi7o/R7vqwh0ePu1/pRRy06f+9zn8lxhCFM9PlzxoMaZgnol1SkO0gkguFfNwcFB\n",
       "PqFVwQE9iQoifFUe+1iX6JKfuARUD6GM5qcCBtaZ/MbyI2riDwecJSPrvvRonghvFHcp1O2OS65A\n",
       "lqGWAzub1vjl5WUGEVQoXAq5tbWF0WiU9yLwjT80Y55lq/eCz2HZnsykSkGXbAHNST/zQAQVIZ+v\n",
       "R34zH4L9QS9NG0EEMK3/xcUFjo6OcHBwkMeKY8kdLD/60Y/i+voap6enuLi4mIlru0fAExSBOkqP\n",
       "9n0gKR/qc5qAIck9F+rm3NjYwObmZgbABJ2u5FiOWpC6JFqvI4gYDoeZT9sUzlBhp3PPvQLqAXQj\n",
       "Q+PQJYvOn+UvTXqNrHwK9Jubmxpw1eeoR1LroecoaLsjwOBAwnkzck03gQlPzF12+tznPofhcIjh\n",
       "cAjgLvEYuBs/X90SgQgHmO6lq6oqG7THx8c4ODjA2dnZTJhCgcAickMTqZ1v1ZOu81N5zL2U1AVN\n",
       "89nr4XwVhe/43IfQo3kiSBxwut4Z0jg/P8+DrGgrEgQUquoS5jJRTVKj+39zczN7JobDYT7GV1d0\n",
       "KEOo+5KDps9z16J6INxjURJmkVLT9qog4FJHKh6CFffScPXLslPJzXx5eZmXedIbwRyTXm96nsb+\n",
       "/n4OZxB4EEwwVKCJTZx8fE6TV0EVACevKxbta1VyKsC9PPWK0fOgibFqsfr9Ch7Uy6XPo3LQDYyo\n",
       "6NpEzvsKIPxdM/ZLlrd/17kShbGoKFQmKJhTJRUlaNPQGAwGNYOE/BfxTBQKc5AafXegEXm++K5h\n",
       "r6ZE8mWii4uLPGaUr2q9U7GW+tATXdkX6lnQ/DzKEMpbej84zvR40htRMih0vAhElL8UhEb3uiet\n",
       "yZugRL3i4LEEMvW+h9I7AxEcFAIIbnesaNPvU5TGCcvf6DEgc00mk9rEJoDQBDd9+eC4wokUvqJ7\n",
       "KnaSCkIHHuqy0mtZJnCHlOnK393dreVCENCQJpNJ3oxp2UmFvH6+urrC6elpBhEHBwd5HDm5d3Z2\n",
       "sL+/nxOTDg4OsgAApn3p7n59hiojr5NaLLxfvRCaBKVH2xNkOP8ob3CDId3qmPwbxcwB1O7ni/eo\n",
       "8FFBy2voiWgLUbADdU+BC+vIhewAjH3PvonyVhRAqJtZN4dyAc6y2d+UV5Qv7P+NjY3MK2p4eHhG\n",
       "DRZSBBpY3whIRADC+Yj9q0vel510iTKVt8ppnWua50CK+pDX0kDkajaCiMlkkseSBhvnLL3nuhTU\n",
       "wW1VVTV+4uoSDWFEoZCSV8N5uwQkHECUQITysVKrPBE66TkoXKVxenqa4/46YfVetRCJ+DX+RKSt\n",
       "sVM9aU9RqFshOpCkkvDiAOqk5DMUPJBpXEFFwo8MoUiSwmpzc7O2xbW6v3k/n8cTA5eZnGkp8Nlf\n",
       "dCu+fPkSKysr2UXPvtjZ2cHFxUVW5Kenp2FYw8EaMLvxDK/VsIOHqxx40AWqwsJzGcirCh740mXH\n",
       "aiFHXgxd1qlA1RUbPRbkD56j8SYsjccg7QcgnnsuRBWgA/U8IsqDyCOowJA8RPCgni33Oqng1v1m\n",
       "2N88jIvZ/ZQRrEekMBS0KtB1y9Hb7jysvBP95sm7y04KIuZ5jD28V1VVLScoUp40JrXs1dXVfKDh\n",
       "/v5+3hF4OBxmfaXXR0BCT6rWl4JTTbT21WAqn0iRwVmSX00AIpIxkSfvdelRzs6IYjlUlro/gO4z\n",
       "rhvlKLNQYFKoavaseiUoYGjFAvW8Ck3QJMBomrgsQy0cBQ9eBp+vCNmFmvYR68eyWSbPut/f388n\n",
       "NTqAoKC7uLjAaDR6e4P5hqiEhtlvo9EIL1++xKc+9am8xFMTotbW1rC9vV1T5GdnZzmrmpOOfe8e\n",
       "m8i9pwpM66TeI59sGqrQ9d78j6DWlxS75yFyxysIYbIkc21ccLGNfBbnBnf3bAM1uXAdvPM34E6O\n",
       "uPeB4x+5bnXOqCeSykcz6/XZKjfYt2rYECRubm7WDpNjuMrBCJ+ne9ioDNE6a9u9v7zfnNQt7+Hi\n",
       "ZSU1jFRpq06ggeb3qfz1uU9Fz1dVVdm7xzlKmcuTWQeDQc1wcB2ifBKtxGAO3mg0yiBE3yMDNVL2\n",
       "vqLQ9UYJbLrM0/nyJkDlo4AIfSdxoAkiDg4O8gTU/AJ3Q3HQaXWxbE5IxrEpZCKAQCZguSpsFLWV\n",
       "UCwHVJPiIneplq1WRyQAeC+F4srKSt6xcXd3F0+ePMHW1lZtbwitr+aYLDuV0DCFxdnZGV6+fJmT\n",
       "KcfjMdbX13M/MolQ45QA8oTU/nWFHQGIqC460fifKyi6PylQtBwKa/U68D/thybwoltcE1xrPJe8\n",
       "qWE1zg099KcNFHnmSh7AaE6qwlDDIiKdMxrjrqoqh0qpEDg2ajkSdGheRq/XyzKJp85eXFzMeCI8\n",
       "iTsKi3ifRAZOyfLku/7uYLYNIIL9695iUsnTyPmkxoSXSWBCuUEvEo8E5+nIzKWjDFdviHuV1LvA\n",
       "sAdBBJM2B4NB9kjoYYIeLi3xrba7NP4ReIhCJUB95d9D6J35tTgZ6ILv9Xo5CZLrglUoaKazTggt\n",
       "C7hzP/NedU2XYk7uUi4JdtZFrY8SMvRyCQ4UGUeKjc9g/J8nWVKR+AYqalG1xRPh4+U5CJeXlzg6\n",
       "OsLa2ho++OADHB0d5TCVW+k8DRZA/t/d3UB96ZQL2ZLrkP9FXiOfzJHXrMQb3hdapioOBQX0QkRC\n",
       "Q60Kei6YQNzv91uRG1GyKCNAEXmHdO4S4EWWeQQi9T6WfXNTP8WX/ehHPysomEzuduQl4FMA6ZvT\n",
       "AbNLftfW1mZkjSsN1lV/d3KeJm+oPFxm4njTuOCLY6X/K/E/9eBMJpOasvYjEui9o7zVBHbNoVBA\n",
       "6XVV49S9J1EOFuuq8i/yQpWMAB1HfXYpz0Jfqr+4eeFD6NHOzvDfgLvkRSa1cPA4kYiQNLtYhatm\n",
       "6Gpn6cBopj7JJybrFHkg9HfW2d1kSiWEGDGGu6D4/8rKCjY3N7G/v5+ZWi1RJfVC0IW27MS2ugIl\n",
       "ceMXAHjx4gVevHhRS5JlGSmlvHKD5a2s3J3LokKGgpT3qhs8ApZKOnYR8HMQESl7FzwKZpxneS/b\n",
       "qyEsr4vXgZ6Lra0tnJ2dYTAYtMI71aQMdZ4QMAKo9Tn7hcpFY+IRINE5reEvVRrkOb2HioEeMB6q\n",
       "dHV1VeMnWqTqgtfzIDgHaAypa1yViy4XVWDqRowbQtqv6qpvgxcCqM8ZKmbm+FDu03IHZj2FCjzV\n",
       "qNAVODc3NxnAUfcwdOgebN2Izj0k6n2gDGZIgy/dWNEBhusGVfTuwSTfqoxR3mkCEvoMety2t7fx\n",
       "9OnTB43Vo3silMHJCEySOz4+zqsPuJrCEb2/O3hQ9x9wF67Q6xQElBR6CUD45I5In+8T25WQPk/d\n",
       "0hGIUC+EMhWZmMy67OTKD6grAu4DcXl5iZcvX+LFixd5hQp32+O9jP+7F+ni4qImSNSS5/iwv0vW\n",
       "Kj+X6s96891ffi1JBUXEu6xnBCKiugCzm5JpWLANVPJE6GdXsq40WI7P93neCO93Dx+oIcI6uJKg\n",
       "IURwSsWjsiQ6VErHT2WSyhlVJOoZcQChMsEtXDW8StbtMpEaGgQQl5eXue0qn9U7o31wc3NTMzTd\n",
       "S0CZS+CtS6Q1WdNDK+6N0oMgdSdmDVswjFHyUOj4cdwZ6nJgpDpJf/M8nlKeBWXF+vo6dnd38cEH\n",
       "HzxorB4tJwKYjQGroL25ucH5+TkODg5qAlHjwY6+tQzGQF1p03qIAEEkqLzealnqpI7c1W5N6UTW\n",
       "ZyjKdmHFPSF2d3dzKIMnnUZ9ybwAZeJlJxfu3u/sH4Y1PvvZz2bvlC6f0/LW1taws7NTcwFzeZXG\n",
       "QnXMKFyVShn080gFf8mT4dfzXeujPK4ublViwGzGtlqcjM23DUS4Ne3xXQ9nKIggUQ5Eczt6+fMB\n",
       "zMxNT/QGkBWPKhKNa0feTrc8Vbn7Cq8SAKKyLIW3StcyLBZ5M5eV2B7KAoaJaDS4AlbZrgaCgwgF\n",
       "EJq3pB5NBSmR58F3oNT9jggqfYdK3zPCwxwqP1Se8D/vG50XJRChuTssh2Hg/f19fPDBB/jCL/zC\n",
       "B43TO8uJcAu0qqbbHvMzJymFqSaoRbHASIlTGTUlqpQECsknnHohtC5R+1TQkVQo+vO5nHFnZ6d2\n",
       "cqXG5px0grUNRPhnoA4ibm5ucHx8jM985jOZH548eTKDrgkiKGA4NkdHRzg+Ps5L9ugKV4vOk1R1\n",
       "ovM3rVcJUEReiJRSGLqJrleA6luoM8nY6+PP5726H0UbzkkA4vkbJYcpiND7SFTSEVB1cBI920Mg\n",
       "/J2rGzhGkQBv2o1Q26OAUcMMmoDpikvrqis53ANB0hCN5ly0xROh48YQBBOsS2OkXgnPZVAQQaVa\n",
       "Cgvp2EVjoYc+0sNAD4R6phxsREs6Iz5075iSyioayCUPhM4FLV893a0CEZHQU6IA5yTjboUEEVyJ\n",
       "4QhfO0lXQpSsDg9XlISN11NdZgogXLmXPkdl6+DSC7Gzs4MnT57kNcp63LffByAnchGFcyrLAAAg\n",
       "AElEQVQJt2GzKSBWym5JTSYTjEYjvHr1KoOrJ0+e5H7s9Xq1iUjLbmNjo5ZFzeexTL6alkup8vI6\n",
       "a33ZBm2Ll+XCTq2LKHlOlzBHS3qVtC9U2fHeNmwsBMyGOSOlr55Ev0d5QD1JPs8dlETWu3tDKPTd\n",
       "gHDyHSnVAnQ+0GWd0fbYTApWnvDloFH/6TMY99aVH23JiQDu2sQcFLZHgTGBAnNP2G6X9woGaLDp\n",
       "3HMAoV4QBxLqfVJAwXe+9BoPo0RhhpInU/vD+VLr5rynHjXlOYaGnz59ir29Pezs7DxonB71KHAX\n",
       "sv4/G86DmOjeI4ggE0VJkSWF7bkN2sE68Vgvr69bi5qfoYMeuZe9Lp5cpx6IlBI2Nzfx5MkTfPDB\n",
       "B9jd3cX6+nrttEZXJAReXIPMxJ1lp0UABNs7Ho9xcHCAwWCAvb097O3t5djlyspKzfLj+NKjwzHn\n",
       "xks84VRdzirAOdEowAloS6DULdoopKYv91y561IVhlqOUR2031wI+ZbMbSBX6j5vS/wB1N3e7D8V\n",
       "0h4WifIltA/1fnr6FFC6J4tyIXpG1EY1RtTa5DNU1pDH9TvvjXiBzyUf+FbobfBCALOeiPF4jKqq\n",
       "MhiaTCZZP7DPgFnPMftc81Oi8VMA4Z4tVdLRewQuogO3oh033Ujhu/N2pE+0bQ5OnP/YZh4Fsb+/\n",
       "j6dPn2ZP90PoUUCEux/5u08ytSpPTk6QUspHHG9vb+f4bmQ9undCBYW7HqOsWH0naZk+iVX5qDDw\n",
       "NgH15UpR++lyZJzq+fPn2NnZyV6IUpy9qqqc1MMz6ttwFDgw29ckZ3y6Bfv9ft5F7smTJzlsAWBG\n",
       "YdCrA9wlEY1GozzpyQ/9fr9myXtugoMEt3zdXagCyBUV+dL3jFAAys9+oJsqKFd8BDpsK3lTY+xt\n",
       "IBV6JdBGUsDl/6uRUPI4RoregZ6WpysqdLx05YT2s9dJeYJywAGkKwAFs2pEqEeiydsCIAQRrN+y\n",
       "k/afym3laY4X2xuBQpLyCudflLei/UfDz19NAEJfunrHl/eqjnL9WNKREQ9HORCRh0NBxHA4xN7e\n",
       "Xm0Dw4fQo3oi/PdIQAB3JzqmlHBwcICNjY3a+QmK4pXU3bi6ujqDGvniBI2Ek352YaEAQie2Aomo\n",
       "fRFTcqBXVqbLObnUhttbq5L0+rHMm5tplvjp6WkGEW3wRJQoEry0RM7Pz/Hy5cscE2VyEICZNfxK\n",
       "FKTAlD90D34A2b1Jga3hDwcT6qmKFBJ/B2aXkSp/uBLhb+Qt3aVSs8T13fuMv2uyHte/t4H0gDOl\n",
       "krcgSpyLhGwTcNAyFYBSfvBaJuWq5af7d3hIInoB9ZwF5Q31zJFHFJA6yFWFqOWxfA3r8bwdglG3\n",
       "fpedfPzPz8+R0l3eCIDaGOh9JDcSdW67geYG6Lw8Ay9PQ1QMsVC2KDjlePN+5enIE9HkVXPg7MYL\n",
       "MHsODz3cNEQfQo92FLh/LqFGonJaoBSEuiGIeiSUAShw6Y7UrVIjMBEBGK2HW6a+VrtJYOiAq3fE\n",
       "PSG93nSTrWfPnuHp06f5oK15WdRsz3g8xmg0wsnJCc7Pz1uzsVAEGEjOL5PJBGdnZ3j16hWq6m4l\n",
       "xmAwQEqpts5et8Llf5ovoIfiUEiohal1VI8B60L+1Lq5FaATXnnHFYcqBD5Pt672fBifJxEI90S6\n",
       "tiRWchVNNCcjq0qFcmSJ+ziope9lA3UFTwOBniqCCAJQJvhRPml2v8oHD0P6M9UKdfnhdQLqy0Cj\n",
       "OaKeC92FkXvvECS3wRMBzALkyWSC8/PzWrIpFaF7oUmRogbqBqcDM+WjKN9A+U3LdR2hQIKygPwU\n",
       "GawOFNlm9oV7q9w7EoFkbbsf0se+e6jOeBQQESErUsTQtD65BfLJyQk2NzdzXCxyA7tFR4+DDqbH\n",
       "OkueEBdUKhzcC+Iol+RCzNEsrZ3hcIjd3V08e/as5l4qJdhQiVFhuieiDSDC+9yBpf9HRj85OcHN\n",
       "zU1e/kqLnQm4Kgx4r7rxdIJqPoVanMDs6hzluUXbVlJ8kdIgj/IESD1sy/nMP3t/kq90++s2UGk+\n",
       "Rr+p0CYQp0cpAhIOIlQQK0VeI8oiPkMNAIILlQ2e/OhjrfNavZyRV8LBqxso2la+6+ZJm5ub+dA+\n",
       "Tc5tA5VkgnobdUtqtbgV/JM/+D1S2PocNfoWNTIJ2lSB61iTF6I9ItTQiML0XrcohBWF7Egsj3LB\n",
       "5Qp5+CH01kFEJASdosazYxjzPzs7y1amTzyfhK74b25uslXhQiRikhKIiNxN3oZIcPkmJZPJJCuM\n",
       "vb09PH36FM+ePcubKUUuNu1DFWDMhzg5Ocnem2Wn0uTUCcHvwJ0ipwfh5cuX2N7eRr/fx9OnT7Pn\n",
       "hhNZs7C17xRMrK2tZetSJ7Y+l1SyFtWyIbhj/gKfre5NtVhdwOhOk7QcXfA7YHWPDoWpnsXQFhDR\n",
       "JAidKBB9NZZbbQ4cgLutpzU+Hc13ANk9TuCf0p0bnftC+EFcbnBE8khfVVXl5Fde63zLNrmF7DKn\n",
       "qu68dLpdvrquFwXD75oiHlArnnszAPXQkK90KQGHSGGzLz3sSCCi40gjVUMo5Et6E8fjMQaDQTHJ\n",
       "kjJHdVoEbOaBCKfIy6G5UmyTLld9CD3KZlOKsIHmxB7tNCpK7oGgWcqKsPy7drom3rD8poFwMKKA\n",
       "pQSIVGBFk10BBIVav9/H9vY2njx5gmfPnuHZs2c1L8Q80r4hiGiLJ6IUk40UiXoXyAMvX77EcDjM\n",
       "hx3p5HUQwhcFDIHEZDI9iXFlZSV7uBR4uPuzCUDod6+/ggjfD4DCg25G5sYQRHDjIRWSfJaT9lcb\n",
       "PRE6L0klAKXWn861KHFNAQTHuLRboMsSvrRe3HMkCgu4seGfdcUMX+QBz7EqGSoKlFzWEERsb2/n\n",
       "pXvcFl7b0AYQQfJ2+ovbjevyVfcURyDC+9f5j9cpgKAuIYDQ/uz1evk0XxooBBBc/sn9fC4uLnKZ\n",
       "rL8bxot6ISKDh/JL66YggoBSddND6FFTt515OUGV3BUDoGZZcrDoltFQgSK4puf7u3d6NIkjEOGe\n",
       "E49RqcCiIOOyzadPn+L58+d4/vx5Xs6pCZsR8Xm0hOih4bHDjCu3kbQvSwISuFuxwVNfedgULRCf\n",
       "jE1EK0KFBCeVA0OdvK7QKbxI+lyNk7pHgnHr9fV1bG1t5ZMDS5tLObhU4ej1UYuoDcQcA016VWNC\n",
       "w07ALKjTPnDwrkLU52MJQKgS8XH3ZFetg/Oelq/KQe9jnfl/ZOC4t0V/U4C8tbWFnZ2dvLrL83q0\n",
       "3stMCvwiRclrdPMo/qd6RUM9Go5WGc3ttPkcBSMcbwX8flQ8ASzL1NwZAghd+snf+Hw3nN2DFgEJ\n",
       "HXttt/eTe8EoJ1lnhuMeQo+eE6G/ERSo0ND/+ZuCCE8cG4/HYcJUqTwXPjoQXt8IRETo1a0eBRAK\n",
       "JHq9XlYYT58+xUc+8hE8f/48b23tW9m6kCqBiNPTU4xGI4zH41aBiEiYRS5MfVcQsbKykkMADAOo\n",
       "9dckLNUC5Kvf7+czN3S77KgOJUWhSkgVugowPf5ZY9dsg1pSWl/3fLiC0u9tBBH0FAD1JNaU0kzm\n",
       "OVAHDj5vFERwHHR+KjCIrFQvzwUxfwfKuRRRzoW2zeUQXduqLEhRee7tYi4EQQRzhaJ7l5287STv\n",
       "L33Xa7T/HIj0er3askwNjenzlA80bKEyn+8EFAoWuJul7lap4Qw3OH0TK/UQREBC26sejMgLoXKI\n",
       "1+n8eAg9+iLyyIp3hO6/a+dTyNAFzLikZtnrvcpAaqlEaF//J7jR8ggE3GJQRBsdA5tSysCH+xxw\n",
       "Ncbe3l5xU6mIOGkURHC3Sh6Vu+ykzF6yMnxC8z8KgNPTU6yuruLVq1fY3NzMLsaNjY2aUJ+X96LX\n",
       "qpuP96mVo/WLQhksw8t1xaIuUz8GmkrfLQ2tc6kNLvw8ZrvMxLmslpkDdAd1wF0IgRYV/1fB7LLA\n",
       "wxieMK3jqGBQwWbJ06AyRL1Yei1BpCcDK8+7opoHIghIFYzqioxI7i4zNYEeH08NL3FOkQeUb25u\n",
       "7g7k0nlcCn9Q/jvIJEV1ICjh+HL5eWRcan6NbqMd6ZgST0Ty00GqhtbodWB93DC+Dz3aUeDzKhoJ\n",
       "Qw6On1JJgbG5uZmTQtTtEz0/+s0npne8/qaChm2JXFh+3G9VVVlBbG9v5/yH/f397HKMhJL2mdd/\n",
       "Mpng8vIyhzG43TUF8LKTjzMw6xFyEKf3sl/Pzs5wcHCQFS/7kYJVy9Z3JbVqac0BU5cm9yrRiaz3\n",
       "6b2eN8Pr3V1ZVVVeVZJSqo2Zezf4nKgfvL+itrFNbaDBYFAzBLRf3Mun4QjNNeCx3S60oxyjCOi5\n",
       "61fHVQEEXeNNcfamlSBqFbrHw63bKJfBeYLgmcvDeRKyK7w2UQlEaB9wDlARTyaTvOINqK/koEzg\n",
       "GOoy0QhE+FyM9ILPa/UKsf4EePw/AhF60qcaIQoi3AB20Kl1KgEIBSfUq/OM1kXo0faJKFme8+6j\n",
       "sOAhJ6PRKIOI4XCI0WiUBb0yRqkO+l3fgXI+hAoXBxGl3co48ClNT02jB+KjH/0oPvKRj+Tz67nX\n",
       "QenZ3m/sk/F4XPNCcGe0NgiLplCDTp7IpQ/coejz83McHh6iqqp8qIye+ArU+889TsqXbn2696AE\n",
       "UvV6nfyeTKtKjRtAMUavgKA0/v6b863+ru16aLzzsYibiLn1znZqDFrDl7Q8NU7NfqeHQsdGlYDP\n",
       "6xKQYChE+9wTZTWXSXlGgY/zWwQe3POifdIUzuIeOgoiStZqG6jkAWR7tW2ca/Q0bG5u5lCA8gzH\n",
       "lssteY2vpHE5rBZ85HHSPibA1CRulTsuC25u7o6V16WXrDuvoWxfxBPBdwfIym8sMwqdvi49qpni\n",
       "DXehR1JEpQ0+OzvD0dFR3sJYl8ZxUHzb50jARnVyC1CFdqQogLonQpeNAXfhlsFggCdPnmB/fx9P\n",
       "njzBkydP8n7lngMRgQjWUS1i3R9Cz8zwibesFLXP/2vKlVEwwWVeBGX0UG1ubmYlysnrZfnzWTZd\n",
       "ngBqsXSPsfp9Oj7cu8PDcFVV5SRCujGPj4+xs7OD7e1tbG9v57aohyqyWr09roDapEAIBpgb4YqU\n",
       "ysJDhhwT9SKppU7ZQYrARPSfggmWqdf7qcIKOkteIX+OW5ueTBjFv/V+Kiuu7OFqDN0qvYnfl5ki\n",
       "OQ3MyoWUUvbKbmxsZIOKSaYrKyt55Zp6dAgCPYm6VA8Fhvqf8qbrggiQaDm6NbYmYXrYww3UaE+U\n",
       "EqAoAQkP8zyEHmWJJ1CfXE2fo/smk0kGEYeHhzg9PcXNzU0WOsPhMK8bZnjDgYF2dJNVF9Wdn50h\n",
       "FCmq26nX62EwGGB7exs7Ozt4/vw5nj17lre0JnOX3Gj+bK0n++L8/BwnJycYjUZ5/4S2gAggzhb3\n",
       "tqvHwi1yjinbzh0eCRo2NjZqQl6fo5997DUsQcWk46vj4N4JKjVujPXixYsawKPFs76+nnNaeNDc\n",
       "1tYWdnd3sbu7iw8++ADPnz/Py1cjlyTrXkryipTPMpP2Nw0HBeYEZ5p4pgmS7FcqGb2Pu5PyOQoi\n",
       "3Cumgtc9DDpHdc8PHw99Du9Tz6S+VJirgNfyfBxZZwVeBBG+xTWpTYASuOsDB836G4m64fT0FGdn\n",
       "ZxlEcC8ZPZabfMGxde+tr45TDwO9GZ6noMpYw1iaUE2eUj7Wo8TpjaBHWfPqFEhEKzoiQ9g9N86n\n",
       "7i17CL0zEKHv/OzMoffd3ExP9zw+Ps4hDQD5DIXr62uMRqOcSOQJWN7ZtAJK3hCvv9ZRQYQrE24S\n",
       "RPfi06dP84tbNTOE4eU7Yo36kEqKngieYa9L45ad2PcPuV9dg5PJBMfHxzm/ZH19Hdvb21nYq/tT\n",
       "rbPI2lGXpma2++oAfbb+NplM8lbkh4eHeW+LyWSSY/cKOji2JycnOTTFuK670xnzVfCpyoKKSuvS\n",
       "Fp5g+Io5B+q90XkWbdzDe9k36pXU7bR5HftUx7vJkFBQqwCDZblBFHmpotwJ8rDO70jYN4EcPWxN\n",
       "T+osybW2AInSHFUwRqJSJZA4Pj7OO3XqSbgMHeiKBM03oLzw5xN0RHKHvKWrfvibj0lKqbb0k/sf\n",
       "OZDgd1/Zoa8mfRUZvBGA4JwqpQAsSu8064rMrg2MgASAmnCmC5+nO+7u7qLX62XXEFctqAUSITaS\n",
       "dqpbvnpNVCe9N6WUQQItA4YvGKf0FRglz4M+U98pSLkdOJE3GbjUf8tETQJuHrjz75wIatVz2Scw\n",
       "FfwaH1brTy3SqI5A3XWsdVNLUuvJXBUKB12doydruluRwkX3/uDzAcwoCwonxuXZDq2nu/KXmc7P\n",
       "z2t7aXBDsKqqu4opB87Pz2d2BuS9euiYCmDgLr5NoK9AwvMQ3LKjMgHuYvYqM1yGAHXvhJYVzdNI\n",
       "8OtnXy6sY03vJHlE3f6sh/L0stPrgB3O5YuLCxwdHaHX6+Hp06d5rLmLJ0EEgaX2j8oD/e/6+roW\n",
       "ViQ/ujdAcxz422AwyPv/sD2c57oEVAHE+fl5lh18eW5VFL4o8ZQbPe4tKd33OvQonogmhpgHJFTY\n",
       "jsfjmXMihsMhNjc30e/3M4gAkPdMcOuzRM4ATq7QXJGplcO9IJhMqUuuSp6HyAOh39kOxoXplSFY\n",
       "eiiafExq8vzof25Fl65nWOPw8BC9Xi/3Pb0SmlzIMVYLtGT1qAXqAMe9WeQxBRHkRd+lkEpfvRwU\n",
       "Kv1+H6PRCKenpzWlRKXB7dKHw2HeZEstXLVE2wYi6EnS/AZ6FDQhjf3E5bEU1MBdbgRd1SmlmTg1\n",
       "M/SBO+WsKy+iGLkCTjc0HEQoueJWoBDxWxRHV89DtO8I5cLFxUU2YlRxtcX74LQo8GGfj8djHB4e\n",
       "Yjweo9frYWNjI2/etrOzg/PzcwAIV9ERICrAJ/gnH/BaDaXxWi2P9d7Y2MhhdzcW1JPmAIKGIa9R\n",
       "gKJ86X3TpDs95MLXmwCU7+wo8EXu8xfRNi210WiUBQZPrCN4YOfzvUlxAaghNK/7PEWjgohJdXRB\n",
       "j0Yj7O3tYW9vL68eUKspinWXvBMUFtHJnW0UFCpIXaiWPvv9aj0wwero6AgvXrzIVohuL8zySmCt\n",
       "9JuDPI6Xxt8Jck9OTvJW2qq0fKwVnNAd7zvKUXjwPvW2MZmMypfb7QJ3iX9tWeJ5dHSU5ylDDbph\n",
       "lrpeGfPW5Z06vsDd0k+OP+PKHD8exucrPdzr4Pt+6Bj6igxXepFA1//c6xbF1vlMB8QppWxIUA4c\n",
       "Hh7mBO7t7e3ssYqSSNtA8zzB3n9ctVZVFQ4PD9Hv9zEej/OS6p2dHVxeXiKllI3RyWSSwQX7VkMO\n",
       "vneLzkvNXYmSHlkGl3xSRik4IIjwcIaDhygvK+on/U1/v76eHmZJrwnL4fx4CD0aiJiHiiOl4b8R\n",
       "bRNAjEajHPtmHJxoTxPayGCRdcuyNbdBEVwEPtQS1WVDtH64guTVq1dYX1/Hs2fP8Pz587w3hOZG\n",
       "0PLyJEAFEmrpkOnOzs6yJ8L3GmgblQDEPF5x65DLPo+Pj/PkoJKlMKCCcHdvVD6foZ/Vc+YuzouL\n",
       "C5ycnOD4+Dh7IdRFr0rKgYQqPSpRTS7UOpDnyENMrBsOh/m5Gv5oAx0eHmYLi/NCY/66jI+KgDkU\n",
       "vJZufAVuTGJlyE+XX6v30Ze6aSKsj5caDXqP8k20msuXGqonzEGEWroEw0wc5f/Mu7m5ucGHH36I\n",
       "4XCYt9InkKCs0TBHG2SEzrMmg0LbooD++PgYVTXdeZaH9O3s7GTvAgE5Qanm3+iKCc9h41zXsALl\n",
       "sif7EhA0gQg+X3Mg+J8DB/WSefsVmLqMoSxhGoAvKy+FdBelR9sn4qH3Eu0RRBwfH+Pw8BBbW1vY\n",
       "29vLA01lQSVC4c2BiNC/unu0rv6bCnAdKHUxkhkUkTL8optC6ZHPWlfdmtQFlLq96fLWTabaIBxI\n",
       "LiQUuDk18Q/7SCfpyclJdmdyySSVriYq8r6SYIpCF3oNAQktIN2CnMpC49el5DpPkqNyUYWi/Mp3\n",
       "8sz6+nrO6ma9CUjacgDXyclJrU9TStnLuLa2loUt5QDHRXd/pEdCj31nH2gug8bE1QuhSv36+npm\n",
       "Lvp4+bJboO6ZJDhxfuK9Ktt8eSAViAIiWsQEQycnJ/jwww9ruRAHBwc4PDzEs2fP8pJyLnnmiqW2\n",
       "AMsIQERhIDUOec3p6WnmE24+xZUregAfFSs3lvOllwTpHhJVBe8ggvVZX1/PG0g5iNBtryPvhBuw\n",
       "qqsW0acqa9RT66v43sSKvkcNZzQ13pWJunl5HzucVv6nP/3pfN9gMMhxpaOjo3wGAhOo1BPBgaDb\n",
       "ShlAY1rKFJz4GxsbGQB4lra6pcmkl5eXOD09zQwMTBWXggcFPgqAfCts3x6V3hYKXXdhtYFUkJb4\n",
       "QwVHya2pfDMej3FycoKjo6OcpU1vlY6Re57cfRoJLO9jukOPjo7yahke6OMeppLiYbnqInfXuBKB\n",
       "CwUDhc7V1VXmK+ZPbG5uzh+EJSA92tnbrXOEydIEFWdnZ7U5yLlFpUygwVwSyhDerwl1wF1uFPvQ\n",
       "c04098S9SwoyGA7x0AXJwxmqvCh3FJDwWrqlj4+P8erVK7x69QpnZ2cZHJD3X7x4gf39fezt7eWl\n",
       "w7oHybKT5yuRovmvuQk6jgBwenqKo6Oj2iF3GxsbGeAdHBzg4OAAo9EIVTU9KVg9i7rCg+Phq/I0\n",
       "T0J/Oz8/zwBWwYYuNdXwCH/TEJsDiSZPjP5PLx11yc3NTU7Gp947PT3F7u4uLi4uHjRWjxYwjZRA\n",
       "JEhdgKjQ1rjzy5cv8ZnPfCb/zsO41BVVVVUtxqwgQt1RGgPTgaTSBu6S47gjGplDvQUUHApAzs/P\n",
       "cXp6mq1gMo26a2kt8VRKghRNNNN4OAGEn9zZRhABlAGE88M8IMH/iLYPDw/zkeGDwQA7Ozu1FTIe\n",
       "lig9u/QsADnjW2PT3LdCQYQmxbkCYZmuMHwuKLDR2Hmv18s8vLOzk633toEIADXQ7nOEApGgn4oA\n",
       "qCtlzmEqePbFxsZGBiu6pwfvB+qrZRQo+Eu9Rg4wCAYj/lJlx/pSJiiIYDiFgIVK9erqCqPRKCu/\n",
       "V69e5XNk+v0+jo+P8eLFCwyHQ+zu7taWmT958iTnZy07lcIZQHP+EvubSjmlhMPDwzwnmJRMLxXz\n",
       "2LTv6e09PT3Nclj5QPWH6hMNZVD36EoZBwyRh0E9DW5g6Xc3nPwe9V7xSPLr6+u8t9Dp6SmGw2Fe\n",
       "/fEQWsqsqwi1a0dywBQwAKi5hDR8oUlwJPd6OLhQVzLr4IlwGkf1OJUKCDKPuiwpKBUAqEvbmVT7\n",
       "QH+PQNf7RCVl3uTVYp9qf7sb0D03JcAyjzgevvyq9IwmoOe/l6wO5QM+05eYqVXcBlJBHPWj5xf4\n",
       "nI2WsLlij0ILURmuHCLivZQr6jFtshojhegu6whc6vUqm3Q/Db2GHpjV1dWsOHXfgWWnyHtTIgUb\n",
       "PgbaTwpOFZRqgiz7nwCERyzwXuakKI84/0Tjp2DRebzkbfC26G9NfaF96Pk3OjdWV1ffCD+kRYXl\n",
       "vQpPqX1LBt4TqqpqKdFExxPvhpaVH4COJ94VLStPdPzwbui+/PBWQURHHXXUUUcddfT+Ujt8nR11\n",
       "1FFHHXXU0dJRByI66qijjjrqqKN7UQciOuqoo4466qije1EHIjrqqKOOOuqoo3tRByI66qijjjrq\n",
       "qKN7UQciOuqoo4466qije1EHIjrqqKOOOuqoo3tRByI66qijjjrqqKN7UQciOuqoo4466qije1EH\n",
       "IjrqqKOOOuqoo3tRByI66qijjjrqqKN7UQciOuqoo4466qije1EHIjrqqKOOOuqoo3tR60FESunn\n",
       "U0q/8fbzd6SU/vQjPPMTKaVfetvPWaAeP5FS+tZ3XY9lo44nOp5weh944nXGNqX0d1NKX/Wmnv0+\n",
       "UscTb4ZW33SB74DyWeZVVX3vIjeklP4cgF+qquoPv61K2fMmAM4wresFgP8BwO+pqurogUVXkPZ3\n",
       "lKnjiY6c3geeWHhsq6r6+Fup5PtFHU+8AVoqT0RK6X0ANSX6NVVVbQP4+wHsA/iud1uddlDHEx05\n",
       "dTzxMEoprbzpMt81dTzxMHoIT7x1EHHrMvqDKaW/l1J6lVL6Mymlwe1/n0gpfTKl9AdSSp8G8P1p\n",
       "Sn8wpfQzKaUXKaX/IqW0L+V9c0rpF27/+w571nellH5Avn9FSuknU0oHKaVfTCl9S0rpdwH4JgB/\n",
       "IKV0klL6r2+v/YKU0o+klD6XUvrZlNLvlXI2Ukp/7rb+fw/AP3bf/qiq6gTAjwH4Uuuj3xS1I6W0\n",
       "nlL6wdv2HqSU/nZK6bkU+cUppf8ppXScUvrvU0pP71u3x6KOJ+rU8UTHE04RT1gbfmVK6a/dtu/D\n",
       "W37Ytf6kq/67Ukp/MaX0AymlIwDfct96PSZ1PFGnZeWJx/JEfBOArwbwKwH8KgDfKf99BFN09UUA\n",
       "fjeAfxXA1wH4KgAfA3AA4PsAIKX0pQD+IwD/PIAvAPAUwC+TsrJbJ6X0KwD8ZQB/HMAzAL8OwE9V\n",
       "VfWnAfwQgH+vqqrtqqq+PqXUw3Rw/o/bcn8TgH8tpfTVt8X9WwD+PkyR4D+JaYfrs74vpfR9c/og\n",
       "3V67D+C3Avifrd5V4fu3ANi5beeT2z66kDK/CcDvAPABgDUAv39OPZaFOp7oeMKp44lmnnD6d27b\n",
       "/iUAfjnqFqq7uL8OwF+oqmoXwA/PqcMyUccTy84TVVW91ReAnwPwL8n3fwrAz9x+/gSAMYA1+f+n\n",
       "AfxG+f4xAJcAVgD8mwB+WP4b3t7/G2+/fxeAH7j9/O0AfqRQpz8L4Hvk+68H8At2zbcD+DO3n/8/\n",
       "AF8t//0uTONii/bBBMARpkx9fdvGL7A+0jZrO/5FAH8LwK8Oyv3rAL5Dvv8eAH/lbY9pxxMdT3Q8\n",
       "8U544q8D+J2Fe38rgP894p/b9v7Eux7jjifeT554rDiSZqP+IqaIjfRhVVWX8j7EFBIAACAASURB\n",
       "VP2LAfxomiaUkK4xRZ0fA/BJ/lhV1VlK6WXhmb8cwM8uWL9fAeALUkoH8tsKgP/x9vMXBG14XfpH\n",
       "qqr62TSN3X0bgL+ZUvoSaztJEeMPYNqWP59S2gPwgwD+UFVV17f/f0auPQewdY+6vQvqeKLjCaeO\n",
       "JxbkiZTSRzC1lL8CwDamXuVXDeV+suG/ZaaOJ5acJx4rnPFF9vlT8t1dLL8I4LdUVbUvr2FVVZ8C\n",
       "8GlMBxgAkFIaYuqWiugXMXWBRRQ98+fsmTtVVX3t7f+fDtpwL7oV9N+PqYuL2bIjAJty2cf0+qqq\n",
       "/khVVf8wgH8cwNcC+O33ff4SUccTfHDHE6SOJ/jgmCeUvhfADYCPV1N39DejWZ57W9pCHU/wwUvK\n",
       "E48BIhKAb0spfWFK6QmAPwTgzzdc/x8D+N6U0hcBQErpeUrp627/+4sAvjal9E+klNYA/BGU2/DD\n",
       "AH5zSum3pZRWU0pPU0q/9va/z2IaoyL9bQAnt0k6GymllZTSx1NKX3b7/38J4NtTSnsppV8G4Pfi\n",
       "9YlxrRVM3dFnuEO7PwXgG27r+WUA/lncDvBtAtGvvr3vBMAVpoxSK7dl1PHElDqeuKOOJ6bUxBNK\n",
       "W5gCzeOU0hcC+Dfu8axlp44nprTUPPEYIKLCdFD+Kqbxof8XwL9t/yv9cQD/DYC/mlI6xjSJ5MsB\n",
       "oKqqnwbwL9+W9ylMXTXqKsrJZ1VV/SKArwHw+wC8xDTx5dfcXvf9AL40TTNv/1JVVRNMrblfh+ng\n",
       "fAjgP8U0eQ0AvhvAL2AaU/rvAPznWu+U0p9KKf2pOf3wd1JKJ7d1/mYA/3RVVYe3//1hTJHvAaax\n",
       "qh+S+z4K4C9gGhf7aQA/gak7W9s80/4lp44nptTxxB11PDGlJp5Q+m4A/yimPPBjAH4k6KOZ9raM\n",
       "Op6Y0lLzRLpNsnhrlFL6OQDfWlXVX3urD+qoNdTxREdOHU905NTxRDtoqTab6qijjjrqqKOO2kMd\n",
       "iOioo4466qijju5Fbz2c0VFHHXXUUUcdvZ/UeSI66qijjjrqqKN7UQciWkBpuvf697zrenS0HNTx\n",
       "w/tLrzO2KaW/nFL65rddp47eLS07T7xTEJHkQJD3gW7bc5amh7O8Sin9t7drgx9KbV2i9VrU8cPC\n",
       "9HnBD8DnJU8sPLZVVX1NVVU/MP/K94s6nijTu+CJd+2JqNCwMU5q3/GuFYCvrabHtn4M041J/sS7\n",
       "rVKrqOOHjpw+H3niwZuFpffwuG+hjifuQW+LJ94ZiEjTY1e/CMCP3SKw359S+uKU0iSl9DtTSr8A\n",
       "4MdTSr8hpfRLdm8+JjlNqXj867uiqqrGmG72occ7/0RK6Vvl++9IKf3N288ppfTHUkqfTSkdpZT+\n",
       "zzQ9eY705BahHqeU/peUku6a1nrq+KHjB6fPR55QSint347x524t1B9L050I+X/mn1ve+VsppT+a\n",
       "UnqB6emR7x11PLF8PPHOQERVVd+M6b7jX1tNj1X9D+TvrwLwDwH4LYgRmLp3ise/AkBK6e+klL7h\n",
       "zbegSNyidAjgn0Pz8c5KXw3gKwH8g7f7nv823B2ekgB8A6Y7F+4D+BlMj3x9b6jjhxn6vOYH4POW\n",
       "J/y678dUaX4Rpoep/Un53/nnyzHd2fEDTM9ReO+o44nl44lldft8V1VV5wCQ0lwvzu8G8K/cHrKC\n",
       "lNJ3A/iFlNK/UFXVpKqqX9t8+xulBOC/SildY3p40ucwZehF6ArTk9e+JKX0v1ZV9X/LfxWAv1RV\n",
       "1f8GACmlHwLwR99ctZeeOn7o+MHpveeJqqpeAfjRfGNK3wugaffGT1VVRUV48Waq2yrqeGKW3jpP\n",
       "vOuciBL90vxLMn0xpse/HqTpcaw/jbvjXx+bKgBfX1XVPoABpoet/I2U0gdzb5xu7fonMUXDn00p\n",
       "/ScppW255LPyuU3HO78J6vih4wen954nUkrD23H/+ZTSEYC/AWA3lTXk6/TJ+0gdT8zSW+eJdw0i\n",
       "mg4HIY0ADPklTZNDnsv/peNfP/3mq7s4VVP6UUxPV/yK25/9eOeP2j1/oqqqL8M0Hvar8H6ezNdE\n",
       "HT/U7/l85wfg848ngLu2/T5Mx/3Lb0NavwFTq7WkMD4vVuyg44ml4ol3DSI+i/K57aT/B8B6Sulr\n",
       "Ukp9AN+JKVojNR3/+i6Isa2UUvp6TGPW/9ftfz8F4J9J0yNj/wEA34q7452/LKX062/beIap6+lG\n",
       "y/w8oI4fOn5w+nzjCVUIW5h6mY7S9Cjs9zJZ8h7U8cQS8cS7BhH/LoDvvHUp/eu3v9WQU1VVRwC+\n",
       "DcB/BuCTAE5Rd9EUj38FgJTS300pfePba8IM/ViaHtt6BOB7APz2qqrIDH8MwCWmk+DPAvhBuW8H\n",
       "0yNkXwH4eQAvAPz7t/9FCXjvo9XR8cMddfwwpc83ntCx/Q8BbGA69j8J4K+g2Qp/X3nAqeOJJeKJ\n",
       "7uyMjjrqqKOOOuroXvSuPREdddRRRx111FFLqQMRHXXUUUcdddTRvagDER111FFHHXXU0b3orW42\n",
       "lVLqEi7eEVVVtZQZ/B1PvBtaVn4AOp54V7SsPNHxw7uh+/LDW9+x8hu/8S7BNaWEXq+HlZUVbGxs\n",
       "YH19HRsbG9jc3MRwOMTa2hr6/T76/T5WVlbQ6/WQUlr4VaKUEphAWlVV8XN0n9aZ9Wadd3Z2sL29\n",
       "jcFggNXVVayu3nXnzc0NxuMxxuMxPvWpT+HTn/40PvzwQxwfH+Po6Kj2PNaDz9LXxcUFjo+PcXJy\n",
       "gtFohLOzM1xcXODq6gpXV1eYTCaYTCa4vLzEyckJTk5O8MlPfvJhg/aW6ROf+ETuz36/j8FggLW1\n",
       "NaysrGB1dTX/xxf7gqRjzv+a7uP48Rq+6/8sy8smX/F9Mpmgqqrc7xw7vvy3m5ub/Lq+vq59n0wm\n",
       "+V3v4fO1TL6ur69xeXmJy8tLXFxc4Pz8HOfn55nXlJ9Z7k/+5E8+/iC/Jn384x/HcDickQOcV1tb\n",
       "W9jb28Pe3h7W19exvr6O1dXVGRmgc1XLUHlSenc5omOvfKTX8/9IxjTxRfRy0rHX37xuymeXl5e4\n",
       "urrCeDzGxcVF7f3y8jKX9z3fs9wnyX/lV35lHsft7W08efIEe3t7WW+sr69jMBhgMBjkz6urqzNj\n",
       "0+v1anzkMibSMfNkjl6nZQCYmbM+9ixLx+z6+jrL8+je6+vrGdmhMsSfe319ncddn0HeODo6wuHh\n",
       "IU5OTvJvP/7jP37vsXq0ba8pHJV0UurA6SD5JNcBUyqBCh/cCDSUJrEroNXV1RoDs37eRtZzbW0N\n",
       "vV4Pm5ub2N7exvn5OS4uLmYEjrbB+8QVXhOI4j3LTpECBzDzTnJhzc8OuFSBRCCiqQ8jheICiaRj\n",
       "NplMagqf/ztPkTdcsTSRCkKtB8u9vr7OfHl9fY1er1d7bq/Xm/uMZaFoLPiZbXQwcB8Do2RsNN0T\n",
       "8VETz0YAIqVUUyYODJrqpeM6ry0qB/r9fgaqClqbDK5loaqqsLq6isFggM3NTWxtbWF7e7tmZJZ4\n",
       "gcpfFb3ykIKIyCDRslkO3yPQGckHHTMFEkoul1ZWVmqGBT+zTL4r/1CmqKzQ8ngt9dHKykrNAO33\n",
       "+7i8vHzQWL11EKGCbB7qjv73AS4NnF6rjOTlR53vCp1lc4AjBuT1FN5aB2diToTNzU2cnJzUBpcC\n",
       "Rid/6dUEoFRwLDuVFDopmjDaxyVwoECg6ZomIBFZqcAsv6hg0fpSWWg7WP8mvo2++zP4nXzjfLm6\n",
       "ulpUVMtOEUgCUPMoNM0BLSPqZwegJWBYuq80dlHZkSwjD3BM9HPU7vuSyxIHX5EyW0YigKB3amNj\n",
       "Ixtu+opAgRuikRxdBESoQdYETl12RTygckKvU/nP7xwnB3wRUCXI0GtKso6f6f29urqaaee9xupB\n",
       "dy9ARGRkXu1gYNb9464fYHYAS5ZZNMj+HL1ey4/e3StApuMAX11dZSXD8gkQtKy1tbUcAllfX8fa\n",
       "2lpmgMlkUmN+d7e59eWkdV1dXW0FiGDYp0kw6yThZ/ZPBLhKVmJkXSzy0ntZFoAaHztg0N9VgFAo\n",
       "3AdA+H/kMfKNC1OdPy5glpl8HgF3IJzuaLfuSoqfNA9IkFy4l+6f91yXOy7HnAeULyJFc18q8T3L\n",
       "bwO4XFtbw/r6egYQa2trmQdUTnqowgFByYjQeQ7EOibyRPi1+js/l7yOJZ2mv93c3KDX62UA0cTD\n",
       "ClCVt7R/9Hfey34bDAa1dt6X3jqIoMBrUuYKIBxIOHBwAe9WIFB3//rgRdf7QPpgeIyMAvrq6qo2\n",
       "oAoklEFXV1exsbGB4XCI9fV19Pt9XF1d5bZrm14XRGi92+SJIEUTJfIY6ecSiIi8DE3XlTwXpbK8\n",
       "Dj6h1apQwRF5PpRc8TQJpchaUl7RWGqbaFEQQfK+Ks1hp3lAQr1e/r+OkZcZfaf8mTf29/UQRMpK\n",
       "20iDxhVmG8ClgggaXprzQH7n7+5ZmAcgeA0w6+1edL42AX69VnnA/4uerwCiBFxUTwJ1faYGl84Z\n",
       "1Wv9fh9ra2u1frgvPSqIUIYG7pRxCUDMAxJNwoLlLzrQrnhKTMVy6Y24vr6e+c1RMfuBA0dX0ng8\n",
       "nmH4yPUW1SFqA8tYdlLwFwEIFeg+LiTtNx+/CEA0CYiS4HFBo3V0Uvck666WZvQcLcvBg5frIFnb\n",
       "ofVWsDFvfiwTuUWksmCRua7k8qNJOZeENMthf7JOHFMHNP58rUcT6ZiWvCyuIKJnlX7TecBntAFE\n",
       "MITFJFsHCKXwRURNCjwyJqJci1J5pf99Xrv+8LLYFiU1SvmdvBcZ5/ps/u/X+ovG8EPoUUCEu3Y5\n",
       "ARU43NzczFyrnV0CEFHHO/mAOziJkKgzrQsXT3rxhBhVXmw3kfNgMMDFxUVNQblF6QpwEfDEZyw7\n",
       "lSahTwh+5jU6aaJxi8YxskiivmzyRmhdFACxHiVl5e5rPof8wTJLAKL0v/OlCtaIv9tAOt9Yf/VG\n",
       "RdZSk4JeRIGTmvpIeVIBhAKJ0nPmgRgfU2+3Kwa/x8FK5CFxOVJVVTZ8lpkURKgHIvIuRDIamFXw\n",
       "0f8lj0VktPjnRcFtNI5KHBcfW9WHwB2I1TqXdGWkP94bEBEBAE4cnUSOxiOFr59ZDt99sFRhN1mH\n",
       "jnJLKNJj4e5R0QFUi0rds8q4UfhiUeBEKgnbZaPSZAKaBfK837Sv3LOziCei9NLyVbFF41AaI+c1\n",
       "ki/hm0dRnZR/tW/awg/AnZHgVJqDiwAIyhK+mjxgTeQeidJ79Lkkk1iey5VSOa9TV5bvAFNB5rJT\n",
       "0yqMyHsQzTf93PRyo6EEPqJ33h/JIgfBPs/1ObxejU71QgCzHsim53soS/UQifPjoaDyrYMINnJ1\n",
       "dbXG4NHAl7wQLkQcSGhZjua1DHZsU5JLk7LR8hWM0IuiLlhVXF4nzyiOsuxLDBspqdexupaJ5llq\n",
       "Tfdp7N95w1F4SUAsCh54bcljEAks/13/X8Sqfl1lFwGUSLgsK6m1BNStxBLAIJXGzIEEk3TVoCjJ\n",
       "oiZyUFGKeTd5Clz+RNdFssrb3QQ2tA8dUC87lYB/kzfW+2MRee5U+i+SG0A9/y4yXJ1HgDIodBmm\n",
       "/BvpQK2L/+4ellK7aAA/hB5ldQYwKww9ZwCIJ9s8QR8lHUbuQP/f40kR0nUGcdeS3qtAQhGgPpsJ\n",
       "M74xUrR+2duv/Vnqs7YoDOD14talezm5IqVQ8kLwOr1+nuKPaJ4AK90TKfsmK1SfVQIxJHeLtokf\n",
       "ov6MAGDEMw7igFkeifZHcA9mCQTMAwgl/mnyWMyjprlRAq0RMGE7aci1BUREG4SVvA8+h3VM5oGP\n",
       "JmDh8y0CEtHYR2BCfycfR2PnAIK6xFdZ+LvXxeeO6w1eq2H5+9JbBxGM0ftEcsEQZZWXmEBRll4T\n",
       "DUQkYEguiJoERekFoOaGYhsi9Ht9fV1bJx7toqb9wR3ouKvYIolmiyrBZaSSkHWLMnJRLwI8+V90\n",
       "jf4X1alkVbolGFm+TW1axEp1gOJtoIdNywXQCmVBUkGWUgpXGTVZ9ryP79H4en97fkOTkvf8FpUt\n",
       "LmOicuYBRefvEo9FFF0bAS3KnPX19cbylolKilYpmi+qPAlGmjyTi8iK0m9RnVVO65g0LfXm71G4\n",
       "3Z+vbfM+aCrbycOg96G3DiL6/X6tASVFqEDCgYaHLdxNE1l1TR3De6JYdBOQUKDjSFEFE9f6OhMQ\n",
       "CGgbfDMY1tsBxNXV1YxSUiZtm9Xpk6skeF0BsG+jFT1adtOL1/l7BM4i5d6k/CPAEymMeeDB68Tv\n",
       "DrJdmHhftAVI6PbfvV4Pg8Eg/1cCd5EREBkd0T0RgGjiwRJ/6NgsouxLv0cAJ+KR6Dml73o/+6Tf\n",
       "77cGRETKz+dtyXhYJKQ5D1BEdSnJj6a6R2AwSrr25zTxGuvvAHIemIh+e+iKvrcOIgaDQU1pRAI/\n",
       "EnQ+0JFrqxTraZrQkUWnz4uudcXAz/qfCqaS8nJPhDM6lURVVXnv87Ozs3w2QuSNaDuVBJ7+r7zD\n",
       "PlrEYispa9K8/tNne3kReImEfxMfehuaeFPr423Q+aM89CasjMeiy8vL3Ce6SU6kNKJ+U0DfJIgj\n",
       "fpk3Vk00T6Fr3ZvuLfFOqfx5IDyaEyndbTTUBiqNibrmIxC5iKehpFCbvpfqOO/ah8jp0hjPAxKu\n",
       "a/0+fm6FJ2JjY2MGRLi7hg31QddYHpMNm1CjTzyfpKWXkg5A9FvJulRQ4QMVgQj9j5/pabi+vsbp\n",
       "6SlGoxFOT09xenqK8/PzfBBL1F8so41UGgvyxjwwVxpXjfcpwAPquTqL8MM8/on4rkmRNQEhBxCl\n",
       "+qnFpTx2X4X4LomHh1VVlXd0jYwMH1vPdVmk7fzfvRAlgdukeFzG8N3He159moR/VJbKm6Y54O2h\n",
       "PF128r6I5pTTPAOzpGz9vxI5cONvTW3ge8lzWmpvFLqdtyBAd/fl/IiMnSjM8xB669w0HA5DK0JR\n",
       "FA+IKeU90O3P352ROLhuDTrNm2R+nd+jg0mKFF3JOxIBKL12MpnkTahGo1E+vfPs7AxnZ2cz9S49\n",
       "p20UjUskOF2ozAMQziPOd/w9GsNS/aLnl0Cslh9dE4EIva9UB71GQQTb5TzWBrq4uMifCbZLcySy\n",
       "pCLAoeSWK8nHo5SwF/VlCUAqTyxqzZaU5rzr/XuTYmwTiHDlCSwG6ko64nX1wSKAUUGF8p7LkZKs\n",
       "4n3R+JcAxDz5os9TIMH6egjHE/nvQ48SzvAESt3Wk9/1RMJorwRgMffzIoiS15a+K8rXcpWZvT4R\n",
       "A7pFqe8ET3r869XVVT7e+ejoCEdHRzg9PcXFxUXenEoTaVRwLtruZaCmCRopU0fc0YTh6ph5e867\n",
       "AvJ+K31vAi+kJlCgdXCKcnNcWbrnRdsA3J3D4HzaFp4AMDM2kUXpQrckUBexSvmuIUb97GB2Hjnf\n",
       "lNr3uqTjrb81KcF5dVl2iqxuH0+g7EFoAuE63zjmnGMlIOA8GD2v1M+L6iU3LvTkVQcTTZ7YqB8W\n",
       "AWD3pbcOItbX17Py085hY1UB0OOgmzE1Ndgn+byBKg20Moxapv6fluNCzf8rAQktn2e8E0yMx2Oc\n",
       "nZ1hNBrh8PAQh4eHODs7w3g8xuXlJQaDQT7OlVTKC1l2KgnE6Bq2r7Tm2cGplxFNHhUe6pmI6rTo\n",
       "xJ1n2TQJtpLCYptKVoxa3myHrohqiwJRgBhtMBRZliVBX4qJR6RyiGV4vaLfSoqL4xjVLQIDpTK8\n",
       "ftrmyLhRw2cRflx2cgtax7VkfUf9VgJb2ndaPoEEf/c5DMwusy+NrfJDyaD0uU051gQgfNxLnopo\n",
       "7pReD6FHWeJJQKCdpAJZXSvRiWykkpJ5HdRdmqQRkCjdX/pf742ARFXdJbtV1Z0ngue5n5+fYzQa\n",
       "4eTkJIMIzYUA7jZh0XJ1ArRJUDQpVb2mKXPaJ59eo8rEn6MAogQKSsi/CURonfQ3bU/EFyVwq0LG\n",
       "y3MQoW0jf7WFH6Jt5psAORC766OxXzRnotTfJYDH//1z0zNc4ZTAiJfnvzeB2OjetoEIp4gv+DtQ\n",
       "9mSSdM6XgISWpwre6wHUV/9Rrvt1TTyg9/K9BBDmgaB510XPfihwUHrrIEInoaMxdytpjEYHWzvI\n",
       "BQXLakKCTYyldVRyZtLfSwDCKUJ8bAuVF1ddXF1dZRBxenqa8yHG43G+p9/v5wO+IoH6JhnjbdKi\n",
       "Aq1JgSxaVjReOu5qeXhYIYpPKj/q85vAhN+ziHLk78rzkcL0+z3mHYVKlpGYTNkE4l2hR/MyShpr\n",
       "shpLwCUCZ1Fd9HP0vWmevq5SdzDbBD6bgGwbyDfFcoOpZEwo6dyLEmhVP9CwdT5ycl7iuwORyOCJ\n",
       "AM88xe/3ezsiMOHejEi3aWj8oTLirYMIT4rhZyV2jE5+YHbScND5v8awSPqMpkkUIVL/L8rJKFlD\n",
       "/jwXTuqBYJsnkwkuLy/zMk6GMjSpkseNp5QwGAwyk7hLzdu/zOT9FP0HzFe2es+8CRiVH4FUnVDR\n",
       "5HQAET3fn1ECEJEgbGpndG8kpPhZBduy09raWhZ8pJKwbOJ9TxorXcvr571YD71nUQDhsuE+81Xr\n",
       "4ApjEYoUaxtID90qKeeob6L5DaCmP5z8P/JONGYlEBHVrymc5rJnkVwqLddXYkQgggnKkVxU3fZQ\n",
       "nngUT4S6mh0JRpmh8xSC/h4BCb0nEgDRpNbfSszqzKLXO1hS8OAhiF6vlw+XAabZ6AQQvi8E+00z\n",
       "70vM5n2z7FQCB6/bhmi8Sjzhz/GJ6GBQ+Tfq+0iARQrFLQJ3tzcJuVJbo/bonGrLFscA8t4FJWCp\n",
       "hkTJAFC5okCiCRDMm+clKsmWJoosQjdAonucR5uUZVRPl1ttoGh8mxQ479F7vV8jgOfX+fUlQOnP\n",
       "1f+bQMND5HNkdETA4fr6uuaJ4L3enjeVT/coa30mk+lJYdrRbuXzd3X3u/Xm5CgzAgVO0eSP0KZ2\n",
       "sj4vEjzOOHq/JowCd8pjbW0N/X4/o0puLjUejzEej2soMkLc2n7vj7ZQJBSUSgDQy/D+9sS6edYg\n",
       "n+V8xL72Cen9vKhr2fnZLR61LqN2eptL/UTg8CaWbz0W9fv92hiQIgDB/0t5Kgoi1G3rysK9jKQm\n",
       "HtNySorEx9LpdQ0Ab6N6IhxQRW1gf7TJM1UCTKV5UAIIpEh2axmL8hz7O8qjiOSMzm3lvUguRfJc\n",
       "ebrUTgcQND7dc6r95t66h9CjeSK8ozR5Epg2TBWnu/8jVBlRZHE0XeffS8zlCFQVQfQsBxDMY+Bv\n",
       "BBFctULwoB6IEjp2ILFIvywr+QQludJ1oe0CwS37eQg7EkAlEKFoP6J5VkZpEvMeVfT+jHlt0PJ1\n",
       "3kQgfZmJ+T5R//Mz3xVEcH+ZKAasfFGay039s+hcisqg0vayIgXTRD7PnRcjeedlOoBoA09Ec65U\n",
       "b+0DTzDk7w62tP8iJbrIXG7iH+exSD6UdM488nZoDgSBBL0R/jwHUwqy70uP4onQ+A07kss6dYJf\n",
       "XV3lVQiO4EqCWgVySRnxN7VSHOHNIwUxpaVGysx6jSK+yWSClZUVDAYDrK+vY319PQMJ9hPv4fa/\n",
       "3hZloAhgLDstal3o9xJI4H8OKuYBjqjMSNlE4CKqcwnMaZhCeSiqk9/bJAi9fporQ+HRttUZ8zx/\n",
       "JHfhEnQ7iNAt90vzNZq7+q5UAuslXtbcribjpmQk+DzXsJqDgqje2r62AUsPH0YKNpqrChAoh/Xa\n",
       "Eg/4dVE+RqkeJC3D6+fPcODv4+zllKiqqhBARCDC+YntaQ2IUC8Df4tAhCYSUolG6FLJ48nR5NLf\n",
       "9Xs0QCXBW1JcZAQV8pGiUvcyQQQ34/L4FUGEAjCtW0lptYHcuoiUxSJAwoFa5IGIhIXfUwqBOIAo\n",
       "AZPI8nHl7+30NquQ0edG5UaWCIUGhUJKqVUgQhPpIopAhPYh2x/lJqmQdH4ogQgPXS0y1+bV3YHk\n",
       "vHKjcVbw1KTQvH1tBhFKXncH3z5v1SgjyPb5Gsn1KNTVNJdKACW6Ruur79HYRuVGbdVQBucCUwgi\n",
       "gKzz5KE7mL51EMFB9viMnmlAUhBBBRrFdtyD4BOz9Jv+F31Wmid85wkVMnGJMVZXVzOQ4AZSyria\n",
       "FKYhniah0RaF4QBIlScQC/pFgEQkVCPLbJFy/B6nSGB4u1QRNQEBVxRqLZT6LrqXXjzymirVZSdu\n",
       "MNfkaXKBSRlSVVWjC5fzTfOS5glovkeewCZyflBS629R8NDEJ03KStveBLKXlSIFXxoj5Y1I1mrI\n",
       "mf0WhTAi2RDVK9Ifzqv6X/ScUrn67CiHhTxADxx3Mz4/P8+nPkdpAeoFUTBaMsxfh946iFArr2RN\n",
       "qzV1dXU1E+P0pV+kEuqbBxLu22ksy60gLdPzP9yCUHAwGAywsbGBwWCQ8yOUGYH6dsa6HXik6NoC\n",
       "JHwZH4CZyR5NznmvRQFhU5n67MhaKZWnz5on/FXYqQUdJc4t8gwty9vdFhChOUIlDxP7hbu7qrCk\n",
       "AeKeO2DaD7oPBfOTXPDr/OHzeH9E84yUkgIoAQn9LQKW0cspssxZlzZ5Ikr1ZZ+UPAo8gK4EoKJ7\n",
       "fY6r13hRYzLip+ha11lufES8715JzgGe8szDGjUpn2X3+/2akaptb9Ktr0OPBiJKVqJaERSovV4v\n",
       "CwgFEiVlOQ9dN1mnr0slxULypCdHfrSGUkpYW1vLIGJtbS1bYsCdtUQ0CTT3ZZtIrWydMK+j7Js8\n",
       "ESWLxct0BdJkRfrvkUXiSkE9ChGA0FhmCURE7XLhpwLhTVkXj03k/+jcHJ0LukW85kKoGzdqv4fQ\n",
       "fOz1GU5RefP6t0ne+diVrimFceeBw0iJcX6VrPBlowgARIDcDQ8FaVEZapRF4xqBCJ3r0RzkWEQ8\n",
       "S4rms3vYKOsdPHg5Nzc3uLy8xPn5OU5PT3FycoLj4+PsleCGhCsrK1hfX88gWneNVlnjxsfr0lsH\n",
       "ETxgKmJsCgUdqF7v7uhvdgSvbXJ1RoOs3/U3r0PTb9HnCETwtygZSC1FsZ68jQAAIABJREFUtunq\n",
       "6grA1I27sbGB7e3tfEYGy4sUbdSP89q4bLSodewKdB5w8kkdKfkmK67JCoyudYXt+927ctcXFR6V\n",
       "n4cxnMc0n6YJbDkIaQtxfq+srKDf72cLKtqdlaubKGipTADk5dLA3dLyy8tLrK+vYzwe5zwkej7o\n",
       "/YjO6nBSGROFqrw9JRChn33MFWQ2hbfcgvVnLMLny0xN7dC+ikCj9w3Hlpv1Nc0fr4OS6x+tgxs0\n",
       "kbe4BETdsND8BoYoLi8vc9ji7OysdkAjT3mmJ4LGqhqswN2KSDdWlt4T4SCCHezxS046XRKpljkp\n",
       "sjpLirUEABax1JqARAlEuEBQoaMId3V1tQYihsMhdnZ28oZTWp4qkSZXZEmoLCOV+lbJ+86/R9ey\n",
       "vEiBaiw0Gk+vRxOA0OeoINGX/6/laeIT3fCRyxq4E1z6PaqTWi9N7VpmSukud2FtbS1bTy6MCTRc\n",
       "ILJvq+ouvHF5eZnBw8bGRg20aZiQ7ypvmnit5HmKDBq9xj87eFBeKgEVVWJRuaVxd4NnmcnlafS7\n",
       "fneApvOQIJH6puSJapJLKr/5Tn7z8kphmKiewCyI0DOV6HG4uLjIRyKcnp7i4OAAh4eHGI1GNaBx\n",
       "eXmJqqpyjpHqjgi4tgJEXF5e1tyTvq21drZaIrQUNGvbkSAQJxWVJlU0gEoloBG9e91LSkCvd8DD\n",
       "31dXVzEcDrGxsYF+v18rU+P0UZvnWefLSFToQFnoaV9H1/uyJE7qKJ4YLWGKnu+/eYZ4BAw8LKE5\n",
       "Dg4q3QvhIELbrvyiAk7zZlR4ce5EfdUGYriSAEK9BN6G6Gwd9j3jxQx1KJCgp49AQhOb+/1+5hVa\n",
       "cPNCQ678o3lZAg58j05sXGRlgiqFEvG/kpd2mWmRtjXNQ51XBBEbGxu4uLjI3ih6pPgaDAa4ubnJ\n",
       "vBeBQjUEo/EpeTX4vxsYAGp1ZkhCX9zFmCCCRyNcXFxk0Kx1UjlIoENwUZKzD6FH8UQAmBkIFXr8\n",
       "TtDAAdaEQ7XE3VpQckUeuQQd1ft9rihKHe+JKg48nEn0N97LeBQZmy4nFSQlhmQ5Gjtri4AAFhs7\n",
       "koYoNGbJ/vIDlyI+o5tPy4+AKeuiYQGvl1sNVEy+W1zES9G67kjZqBWh/cU687PGbj1s0pawBuXE\n",
       "6upqFuK0pHTe6PhH81v7mICCu8Gura3VdoUdDoe4urrKc48KxAFBRKXE73kGjL98i2LlHbZX+cBf\n",
       "+pwmKoVolpW8/VH9tQ+vr68xHo+z1c4x5lYCDIGpbhkMBhgOh9mA40vBhW6KqDzoMob10f9Vhulv\n",
       "CnhdhkTnKPG7tm0ymeR6suwouZj6iTKGMo914Vx6CD2KJ4IWhgsANooTRJc9cmJHXoxoMkSTN0L3\n",
       "KlQ9HBG5FHWtvT+3aSJrHVTJsExaXLxWQRPbSGHWhHgVQLSF1MNSAl8R6HMA5kfHe1xbr4sEOAVM\n",
       "SUi5F8L5SuOWzIpWd7laHdFLwUTEY1QeupoAmD02W+vHctsEKgHkVVnuhSSPA3chzxKIYLvZB+rh\n",
       "IZ9cXFxkty/HylfIUCa54QPcKTf1KikQdH52MOlgLzrrQPnODSy+s35qRLB/Iirx+LKSA0eSA30A\n",
       "2dI+Pz/PBxeen5/j/Pwc19fXMzsH9/v9rGO2t7exs7ODra0tbG5u4vLyEhsbG1hfX8fNzU1W1Lp1\n",
       "uvKDGilunOqYq8HJ+irvEOzy/KSTk5P8Ys6D3kM9SX5giFy9MCqPOBfU20Z+Wfp9IqKYlk8sFR5U\n",
       "pgo6VFmzDL5HcScV0r7yIwIRHPCSu5nP0XCEKignV4J0oyoTkJl7vV4WaHzO66zCKKHiZScdw5L1\n",
       "zP5QK48CU/tfvRAKMvV3dZGXEuq87yIvFH/Tya8vjqWCUG9b1GYANf7SsVelqHXQOvtcaZPrGkBO\n",
       "Tou2iifpnCJAU4+Dzm8NAemcZnnu+vbxihIt1SsSeZMiPi4BBPdKOWhWL5mvEuBYl8Y2AjMlpbys\n",
       "pGAx4mftL80fUBBPBan5dboR23g8zrJ/PB5n5U2Aod4JAgsNfymA1znJ8pUvyNeRvKARoqstTk5O\n",
       "cv4Dr6uqKhufrJ8ui3bDhuERrmRyncs+bgWIUHJFryCCQMI3X/JJrOXohNCJyQGMLA5g1k2mwIPX\n",
       "816f0G75RnkOKizUvcYy1YJWweSuS9a1iRzcLDs5CKRA1D6Lro08Sao41UIH7kAEAZvGPxXBR8oX\n",
       "qIMIVegRiCC/uDArJVu6gOe4Awj5SYEUd3LV7OsSAGkTiKBgVsGvQMB5xD2G7OOIp3QFDOWDC3qV\n",
       "SayLg3nWx0GIj3UU6tI6lnhBn0GeoIxYZJ7zOgcjbQMRCiAiGavjTyVMI03zawDkue/A/PLyMgPQ\n",
       "s7OzWm4E9/DZ2trKXgqGPtTQVQ8DUNcrDLGUQAR1AlddjEYjHB8f51UXp6enOD8/z2OnAEJz6Ng3\n",
       "uuKLckg9c+RX/qby8SH01kGETih1Eaq7lwyjsVB3J5Y8DhFjqXBXoU6LQ0nroyBC72+qoyovuhb9\n",
       "RdeaAgm3tjQ/Qq0xRY0lz4QrkWUnnXCR94jXqEeC3z32HClQEvuRnggV6Ix3lpb4AbObiqnAVwvU\n",
       "3ZL6UuXh9SZFYMhzIRxcAfVdTbUMr29bSAEE+0CBnAMH/QzMblBEgQmgtmrDhap7CVTIOjB1XnQg\n",
       "qUZIZCEriCh5OElqNPFZ5Attm9ZP71FqEx8A5Xnt3iXtY00yVEBOo0HnhQI6XUJJWUFlrV5kjuH6\n",
       "+nqWIdQFJB0/9XKxTr58k4mT3DSKHggu2dRwjHogNIdO+8x1hdbBAasaLg+hR1udQTStiYMau43i\n",
       "2sBsLM89ET6pfWK7m9ndOizLQyBaFoBaG3i9Cjr+F1kjBBEaj6XAVADCRCD+x132Io8HiZOiCWQs\n",
       "G7lAi0CCA8ToNa98BRHuUr65ucHa2lq26CPe02dESiTimShMAdSXJitg8Jd7odxjwbpEL/1P69kG\n",
       "cvCgIErBpIcdCLKj+33pGy1Puq9phXpIAkDmD10txTqwTmp0qHzxZ9Kd7CACwEyug/KfAkr+Rpmp\n",
       "Xlj1XjYZE4vMnWWhCBQrmHYvEAGE5jDw5VuqAwg9ieSvy8vLmuz3cd7c3MTNzU0Ob7C+3uee80Tj\n",
       "g78zj4NJlGdnZzmsrSv2lD/UQ6fACZjVYwByniFwB3B85+OH6oxHBxHqnqWrTd12kQtRGQiYDRmo\n",
       "i7JkETpi1bX52vH6Wa0F9Qy4IuF3RZr6oruKIGI8Hs8IiF6vh4uLi9wn/X4/t5X/l5IAtW/aEs6I\n",
       "AAKBg4IivcffnQccGCpQc+tVxzkKbWj9Sl6wyJ3uVq1bm+qBKnmz+K7zxEG3v+gF835uG4jwftH+\n",
       "9/7WvmWynO58SUtvPB7n/tW8pKur6Tk9quDVOtNxcNIwCV3TChroplbvoyoUYDpXqYg45yPPkgMq\n",
       "z+9gHdUCj+REm0BEFMoG6uE9BW9U+Bqy1K3U9QXcgQiGEc7Pz2teKvKK6hbNd9K57WPEeqpxob/x\n",
       "RR5REKG5DzzhmW3RsBTbrzKPz9B+WllZyYc88nev70N1xqMs8eTEUOEL1LPPS+ioJMBdERDZef6D\n",
       "xkKj8jQE4hYl6xFN7Cg/IqWU66F1oQUEoAYQ3GLkMzXEoQyiSNqpLV4IoHlpp3ogIkWpfeYeAWB2\n",
       "RQWFtgsitWY00bWU76JuUFUeHrpwXtMxjAAyf3fLqxRnjQA3AboKh8ibssyky+rUcuQ463yL5kFJ\n",
       "0WqIwseUfMAEO1XEvF7d4Ep6P+e4AweCB09s87CVexuAeDUQUOcV5UvtE58zXmZbgGVkPAGozVtN\n",
       "olQProad3UNFGUsPMq11BQnsI4YLKNfdyCCfqPdDDWPez99dVxFcsk4K8lgOeUxBiBoqDiSU1/ls\n",
       "AKFsfRP01kEEJ5gLfM2Qj9x5JQTqbmRlKEX87loGZmPPOmAlxaIWIr/rWnZNwFJX6cXFRS18QgHF\n",
       "crwtrCMZUgWgum3nDX4bgETUBhVurmD5okBwD5KCSip5d4H3er28ukEn49XVVR5HxjmZhOUCzJ/n\n",
       "2dXKc9qOJkDswMmvV95SBeIAlnysYJzPaQNpUptajwoidMmnW9XquaHC5fi4oqFnSg2I8/PzHLvm\n",
       "NdxHQJU2SccuAhFRki2JhkS/3w/PzWGblIdJatx42AvAzH8q59yIW2byNmhbVEZzTkchLQflLksA\n",
       "5DHg8k5NzqTc4LjTq6zAjPJaV38oYPCtDVi+8gY9D2w3jVHlZ+o18pLqRTV6tU4KgFk+5acDj4fQ\n",
       "o4AIomUAtUbpwOtSlZIrLnIfe/hiPB7PoDMdRJblbmp1OfE5KlA0u98z/ZXJCCLoHuP6d7dCVen5\n",
       "kiQ+0xXkIgCiLSCiRBFjK6pXgOUAjPdzbBVQaN8oH62urtasGqCesKg8qW70yJ2qPKfWrrbLQxRq\n",
       "ITV5QdS1r2DUlU9T/swykycsazsIoNw7oWCS4MLnlStw4E4e8H6VJ6zD+vp6uOxaFbzykydza4hE\n",
       "vSFqkLilHI2ZPkfd58pb7rF0IOHeuTaBCLfuFQhpSCuaPyXQp/2j48ExcXnAe+iB5NksBJoMo6lH\n",
       "SIE+26NlRCtJnLc1KZLyhnzF+gKoAYuUUgYP3hcs3/N/Hion3jqIYMep1aCuQnVfRq5YZXoPN+gE\n",
       "9Qmlrj31EnBwNHxBRe/PJErVNcO0lhRMKHOllGoChcs5AcwsJ+RzVldXZ2LqmizUBA5UOLTF6lQk\n",
       "7y54b6sqF90G2UGEgy29LlLkVB7+u+5YSNDCuumY6Bj5M0ku9Gh9KN+qsFE3rM4L9XZpf2m/eXkq\n",
       "VNtEzsPs18gTBNTPOFEBrV4ighD1bDg447NYpv7mvMd6amjCx8flnQNM501VZFq+u60V0LiV7R7c\n",
       "0qsN5DrB20r9oYpbgZ7qDc5VYHbrb5cd7rVWBc/+4/hS5p+dndWO3KZnwXmF+zYwNw5A3imVgAi4\n",
       "O0RON8zS183NDTY3N2tJv5ovpQaHv2houBH9EHrrIILUBCLUHeQIUlGgWu3+ck+HM5y78yKXmFsy\n",
       "TNbi+uDNzc2ZPdeJXJntDaAmyNS65bsuy9E6RQjYXd3z+rYNQMJBhIcNgLtx1NMcqRzda6SeBYIy\n",
       "d/U6gFAhri9F6ORRFWS0QhTQKmjVuit45bXq7ma+UK/Xq61PJ2hluTpfSrlDbLuCCLWElp1KxoZ7\n",
       "Y9iXlAfqSSBQ4xbB7OfJZDJjrKiwLfEHcAdyVUEo3ylvaN8rWPHwiYJLBys0SoC7JYLqOdD5wfo1\n",
       "AQhe69+XnUpeGvfmuPUfGYMONHU+Ku/os6NVHm7gUu6TP7iDJDDrHdKQO0FESil7VjXsTRDBJZ8O\n",
       "IGjgsh+AO0+68rWDLyUFEQ/VGW9dwtCSY0c3Zc86Ula06EKfpMjQBQDLcPe3Wvu+xhuou6k2NjZq\n",
       "+6szZqtWIy0Nzyon8nR3Ka/l9awvrSfgDlmyDZGFFlEbBIQqByo6xg6dB3R3OI6dJiQ5KOTk8T6j\n",
       "0FGBoKR84vyl16iFw/+Vd9VaUYuToIFrvyPrSl9ReSXXtyomrRMt6LZQpFg9BOmhKQdrKdXDTsC0\n",
       "f/z4717vLsmN1Ov1MBwOa6s81FOkckbDYQSAGragkuBz6MliG8iv2jbnCb6rN8ld776iJbLc1WMS\n",
       "8f4yUskTwbHw/nK54bJB+YE5MGdnZzV+47OGw+HMShkFL0Ddu3B+fo719XWcn5/XrHz1dvshcBqS\n",
       "0LbwKISrqyuMRqMaWFFvo67eYD0iz6ySAzDKsaUHETz/ghmwei6GWwYRgHDLEaijcEfbQP1wHLcE\n",
       "aWlqKENdn3T3rK2tzRzOonuVqyD3ZEuNVfGo1rW1NVxeXmZhxt3GFFGSAT2hx9teck22xV2pwswT\n",
       "VL0NFIwcQ89BAOrLqahIKDx10un4qOIp8Zq6Nx2MarkRIFClQ0uYbWD76Ylg3aIdNZvcuapsIwue\n",
       "Cq4N5P1OQazWpQIF/kdQrkCcliS9PlVV1TyI5DVd5sk+1YOZ1ABS5aUggs9iTFp5O6VU83KqfNLl\n",
       "hLpskFamygV1pyuYLAEJl6kEs23yTmnCqbeFBgdBHElBqMp7vljG5eUlDg8PcXBwkOcxPX0ED1tb\n",
       "W/m5LBuYNdKYN3N+fl5bhqlglsYDl/nrBlRaJgHMcDjEZDLJG1DxGRzDfr+PjY0NbG5u1pL0CVTI\n",
       "n36fgzEPu92X3jo3ra+vZwZ3EKFMogiPFLmdSfMUJgVOtF9ElJTJCc1J5nun64FgUeKbMiF3EptM\n",
       "7ja1UTRcVVVmOPfENOVoOMhSi4KM2yYQwT4jL2if6qSlMKabT/uS/zufqDs6pZSfoyBCXZoOICKF\n",
       "puBUFYZbgSro1WIhv1EQqjXiIKe0M6p6KyKvG/tMgVMbyMcQQK0vgdk8BPUIsYybm5vaboMXFxeo\n",
       "qqomcwgiaDz4mFFIay6KCl3gzlBZW1urJcg5D7s3kbymcocKjnWgXEjpbtlfxFvugfAX+4Tv3p/L\n",
       "TLrfh/I9x0A/67zVMKOvjuE94/EYJycnePnyJYC7sCV10+bmZvYKlPIkSJTx5DVdMKB6hnuW6Goh\n",
       "lV8cfxoR19fXOD4+xmAwyPqA4Q9uyb25uZlDZfRyubdLSXmB+qYVIGJra6sGItQiUIQdKUFVJpG1\n",
       "qEJHQwYOEHwHOVUealXSGqT3gfukU5ioR0Bdpaxrv9/H7u7uTLiCRCYhE/DFCUIPBMt39xT/c8H0\n",
       "UCZ4F+QenAhEuILkzmsOJnu9Xi2JzhVPr9fLQFDDJlQkwKz7M7Jg1CWqE1GTHz3UoHXk7nbcNtdz\n",
       "GMgzkbLwDbHonWE/uUeubZ4ItTgB1AQrx0zd/hSeQB1AV9XdRj2aX+S5NQTsmrOk48drfa6RVClT\n",
       "2ehYqidCgcbNzU12pV9eXmawuLm5mU+T1OV5DqgUTCjoUAATefS8nGUnN9b0pfV3RQnMbk6o40Td\n",
       "ww2eOP4rKytYX1/H1tYWdnd3sb+/j/39/QwQKN/1RQChZ1So3lEZznr5GGmdldbW1rC7u4ubm5uc\n",
       "j0feXltbw/b2dg0osn3AXYK48oDLBfat1u++9NZBxPb2dq60DqJa307+GxU4MBs3jQCEAgmCCN0A\n",
       "RgdZhQEtkOFwiK2trZnjufV5Cj7IEKurq9jd3c1WD+9RZURhph4OdbO5B8It7EgwlL4vM0XWnwpf\n",
       "bztwl3ymFgH73zdu0UmjCN89XoraObaeDa0gInK1qxvUPSnaXobDfDwjN7gLzijmDdT3DfCy2gQw\n",
       "PQPehZ6OGwGEz8NIcbL9CsDU66EJaSTO0yjMyv+1bhTClCEKVCNvF2XKxcVFvn57exu7u7tZOfDZ\n",
       "bJ+DE/dMuefNvZRa7zaACPdAKIBQYKek4+K/M1SloYLRaISLi4vspRgMBnkc9vf38eTJE5ycnORy\n",
       "1Mjc3NzE9fU1Tk5O8hxUEEGPgL60fhG/Kq2trWFnZwcrKyvY3NzM+RHk442NjTwPyIcAajkZbLv2\n",
       "g+o6Gq4REHutsXrQ3QvQcDisxep8E4yoIyPm8Hf1Xugk4v2RAtaJxnt4v57cpiekaY6DluEWCsuk\n",
       "sqqqKis1uroY76SlxGtJLiw1CdTzQVj3tnsjFEy4EqZ1RyGqk1EnYq93F9/WsI8rYbr2PeFqZWUl\n",
       "THrT0BJRuwoDCmN1IXv92U4CoKgP9JroFVm4TfNHy2uDwgBQ6xttT6Q8tN0cL+UF75OoDADZYxiR\n",
       "g0In513+5srfV2UAdxtrXV5eZqWwubmJ7e3t7KJ2YyJSPO65A+oWvMoql33LTj6nvN4RWFfDgHNe\n",
       "r9GzLnZ2dnLCIvNinjx5gv39/WwIqpEDoHaC5nA4zLkOGhqIkmZdDig/sn0KAvTF8Mr29nbNYFDe\n",
       "VE+l6zz3cqpHU/XHQ+hRQIQ2Vq0BpRKQcBdidJ9bXlx2Sc9HtAmML50iytRT0tyVqte7onOrdHNz\n",
       "E/v7+6iqKi8507gcrVLtC58snmnrAOJ9ILeqqPRKaBqI99XXPTvcXajP0ERbxi3V2xB5I/RePl+V\n",
       "swt4BagR/0Yv5/cIRChvOIAozY22EC16B+n8XLLcfC74HOU1bg2WSIW0Azd9pl+r99PbQF5yIEBF\n",
       "RB6kPKDc8XEutScCkSqztD+V2gAiXNk6iNBxdoufypPhT/aRbg64v7+f92igDN/Z2cHOzk7WWVxZ\n",
       "R93FnD5604H6dusavtBQmy4hVZ5xpa4hyslkgvX19Zwgqcnk+kopZV7T/uD/Ue6MGtH0RjyEHgVE\n",
       "kJQhSghIhakLlCarTf/noGmSjZ/W56d5qqeESzkVnOhqAAoKPo+D6W5zup94vCtjZ1R67sJ15ecW\n",
       "s3tcor5rg0fChbAjcwC1cXElHQlPFaxaDv9T3qCVcH19XZtYvJYgwzcLIzlQcGspqpsqwgh0qGDQ\n",
       "53j/ODBxaiuQYNtKy9K0n4G6he55Sq5kHUSwXFVMypORpRj1q/IBSQ0ANzxYnlqLLN9XDjlw0jZo\n",
       "cq/LPq9vZHy0gSciAKHAiu1yT6yCCF1d4+M5GAywt7eXy1tZWckeBvYxk7gJImhk0pvO/CsfIw0R\n",
       "6FjzWWwHdQ6fS+8UVwlqW5mc7fl9fAavZT2oNzQXyPlVeeMh9NZBhE+yyKIvCV0n/tZklWiZbjG6\n",
       "gFC3D5Gadrq6zDj5tR76TAA14EIG41KzUnw1slSb2ufCg7+3yTuh/Q7ECUeqpF1YOKBgGfrdFYYL\n",
       "Wy0vstj8Ov3dLTktOwIwOj4q4HUyu3LQZ2k9o3HX/9179VAr47FIBb3nIAGzc/p1wLQDt4h/eL27\n",
       "f6O8LX+2u9mBWQNA7yWfKDBSSzGqoypJl6nRHIh4Qr8vO5UMBvYvPQrqwdLwbzTeKmP0paED7vdB\n",
       "DyRJjcuUUg5lKFhQWeJ86/OWdfUj4qkztE0Rb7Iv1Pj1MebqIQenvsrsoXrj0UBEyUoAZrNpS43S\n",
       "61mGlqvXKQPoQEYAAkBNcPjSOEW3Wl6Ub0HG4LP0QCGd/H6fTpLIolUmbfJItAFIlCaZe2Ii8Klu\n",
       "PBUOWhavj4CGWq0lAFGqr/Oru5x1UiuP+KoObRvfVQBq+Q4SfA54O1x5tQlEkHRVBEn5Q3/TdyDe\n",
       "EAzAjOKIFC7rEbl/F5FJKh+UT125UPmple2u5oh39Zle7whsKz/492WnSPkCdwYk+0uXYbp8iPrQ\n",
       "+ztaUk2vr1/HELQuH40SKBcx6qqqyh5R7loJ3OXFaUhV2868BwcQpcUFuiM0+8L3Lll6EEFyoekC\n",
       "2AWB/hahbn52q8OFvQudCNQoUyrj6HWRteFAguUxWU8ZnYJJJ7EDKmWMKInO+8epDQACKIddFBj4\n",
       "tc4/CiT5vWTFlSwBVdwlHotAHp+r4S2tvyoDgj4X3A4mvR+83lH7XUGUvBFtIFXwFKQR0ItAY4lf\n",
       "/B63RvUePqMENqLylXzMWB75VFeBRK76aL6XAITyloMIBa2Rcm0LTzTxPfuJFnnURi0jAv+ak+B5\n",
       "Ceolijbz0j2HFNj7HHRvGj/7OGiYXb1wpEjZ09OtbWYIVpN51bOudXiTPPDWQUQUGyS523cRKl1X\n",
       "mtxAXfD4AOn/GnN1JlYlpQrFQYQyDic7NzrSHI0I3OieCeqCiiwhtTz892WnJgUKzLZBgZaOgbsk\n",
       "XTC7EtYJr9a6C2N/d6tVgUTU/w5E1eUagSLWjfxUAj8REHEgob+3yRMB1L0AasGzLexP8oGO8SLz\n",
       "X3lGx85zKiLy8SqBG75YTz6LFitQXyERgV6vB3nOr3WPZOR9iDxTbeCJSCG7nNV+bOL5qI/VyHOQ\n",
       "pr/pkl16D7h5lG6z73JGt7an0i55S5jroPzNOqunJVpu7sCJfcO66G7A7L8IHD+E3jqIcKYGZhWg\n",
       "WpT/P3tvGiZbdlUHrhM5R2S+fPkGjaXBGLCQBVhtDHYzWtiYQaCGZpAxyAgQjUWjZrIZGwswYINB\n",
       "TBJTCxmQJZBbCIPNIBpLhQTCNJhZDIIqqQQqqVT1ppwzX+b1j3vXjXVX7HMjX+bLfBGv7v6++CLi\n",
       "DmfcZ++199nnHN4/KqjI5elCnszB39rxkXBx4OODFxg9s0Dz5zsEBgQRfD6yLjwmQ5k86vQcsJh0\n",
       "cmHvXgDtF1X8boE6iFAvjgoCR945T0TOAtTrbl0or7iQ4pRYJNyVv3JjJCpvTmk4gJgmqxMYjgGf\n",
       "+mPfeT/5WNZ2yAFAVyZRH7SNIQeBKmdchijQAZoGR1Quz1fT1jaKeFTHE/PQ9iIf6J4Vk07an873\n",
       "wFCe+9QhrXEl7xf973pA+VDlN6epdf8hBRFabj6jICfyBjE/LjXVMqkRyf5VmcYpj8j7omNDQbnn\n",
       "e7voTEAEKRrcep2/c1ZeBCxc6LqQjQahuzNzSnpcmSNrgPdUwXE+jR3tg4JKUINjtra2sLS01GDc\n",
       "cULE6zupFKFonYfUekQWpnseoqko9XIpWHBlrCBEwZynG3mDmPY4MKCCJKeI9F1SBDYiEJEbFw6E\n",
       "J5l2dnYawpvldguaVqmOA69rG4jQPnRgqe/krLW2NldyT0nO6+XPafm9Dq78tBwRH7k3IgKik0oc\n",
       "M7qXS9Tu3l9KUZ/mvJUEDNHqGPdyRB5Bl8Fq8Pj7unrQ7+t5LsoTbiw56OU9PuuyjOXUNJV3TkJn\n",
       "BiJ8gHiH5xjgVisagY9oILpLMypvNLDbBrv+jkAEO16jcYGhUlTG5S5ldJtxOU9UtmlSFsDo/hcO\n",
       "kiKvEDAawEirVad9IjcnKTfYFbn7krJxwXXKQ20ggmnnBH/0roIfr0P0vtNRlN2k0Pb2dr0WX71P\n",
       "5I2ZmZmGQgFGpyYjWeNjPwfY/P0IeOi73rZtxoruR+JA4lYBhCoIB5cOFKYVQADD2CNVujqtQaIn\n",
       "QK+73NDnNN7MZa5a7dofLq98PLrHJOrPaFpJ01Yg4YfCRUBCx4je1/bTD+vvq0luBz+cOojIKd8I\n",
       "5es7R6mcWqw5ha75RUqG6RylQb38keXDb81Hl+Do3JciSQ30mZ3bh0d0AAAgAElEQVSdxdbWFra2\n",
       "tuoAHh4kFDHPtJFblx6FrIpcKbIa2vbb0IENIBSmbSDCPRLAqHeL7/FeNEUS1cUFXGQ1ssz6TA5Q\n",
       "RDRtIIJTfgrY+F83B9Nxd1QFrGNWAXybdRvJqKPKChfgh4eHDSAUTb04edmj+uY8EDkwMS38wPHm\n",
       "7ZUzKn3cO7AvimJkPDsw8yW9bcYBKQIRBHjRs7m+Uu+ET1XoeKCM4nORUeSGGPmev934mHhPhG4J\n",
       "S4oGu15ngxxVqft/Kmm9Fg3INtLOVvLOcab2DuQ7HuEbKTIqw4WFBWxvb9fbZnNNMi0ZvpOzliad\n",
       "FDhoUBEHji9/88ERLceNBO04Sw1oAhP9nxPcTE9/R54Bn6LRtPlbScvH9sm5o48KHo/C55NC29vb\n",
       "6Pf7taeBY0v7R4EE2zaKGYoABK87oIxiYkje/w4glQ9UTrjQdllAJaP8qRTVIxrjrnzcalfFq3w6\n",
       "DTzBMe31ipQ2EMe5AcMYBR2Lkd6IjEollTu6pbV7pyLgqu9r/oeH5QZS9KrqtA3T53NeJjV+HLBE\n",
       "hkvEu1MDInxFg3auC/JbodzzbULA72n+buHpb6JLZRB1n2lnOLoFmgxIFKwuLd7XszS4pzu9EDz1\n",
       "jydVttVt0kk9EHocswp2X3IFNANQHUhEihrAiCJWIatpknKWn/a3KvII1bcBlgjIkhddseSW6rWB\n",
       "GiWv2yTT1tZWfT6AWlYKmgk8fbVLm+B2paHv+Rz3uPHUBiT5zf5S0OFTEDr+I0MlByKU3Ir1uXb3\n",
       "QkwjiGAf+XbPuTpFsQ5FMVxRkevTCKRFRgaNP+WpXFmise786Es8I29HpGO0PMwvkjE+fadpOsg8\n",
       "CZ3JZlMOIEhHYebIAtB3owaIrJJcntpJ0fxUtIwn+mY5IxDhKFHfUQbjtMfMTHlyG8+g39zcxMbG\n",
       "BoAh4+XqNA2eiMjqVnQPjKJpH4jRJwIQuTyj4M4ImbtbOieImD8FH/Nxr1gkXJR3lP9csDn40brl\n",
       "AvemQWEAqM+XYZR65I6NPmwz75+cYshtHUwlFI3ViFwwOyDUPtTy8RnytQIOp0hWKX8qGI88Ef5/\n",
       "mkCEeiYjuezenEg+uHJViuRvBNgiUOqy3QN0Iz706VFOWXgfeTruTfX7+j8a75EREnk4T0JnGhPh\n",
       "1/y5Nouq7V0f+JGlFil0HZSO4nUQ5jpI3al6LXKZKWKNGIwggut6uTJje3sbGxsb9RG2eoT5tJJb\n",
       "6xSEJG0T90JECjgCEd7nPmhybl+3cHXw58Ckuw0j69AVuwsuvqtKMVKC7gKnkoqUhZZx0onHMu/u\n",
       "7o4sS2sDEaqg3TPhgJKeL56qq14w9WYBeTnj3iaXDTmDyS1KoHkSZQRg/V1933nMgUS0qiUnxyaR\n",
       "FCTkFKHzezT1CQxlR+SNiQBrTn5H06vsh0gWeH0AjICISAa54RDxRfQe34meGQckTkJnBiL8f46R\n",
       "2wZTDmm15R01rr47ziUYKQC1kHMuK6+L18mBkQIJ7tN+cHCA7e1tDAaD+tS/3d3dbKdPgxeC5ILQ\n",
       "QYQqbl6LFG9kNXAgusCPLDQNsmO5Im9IDkQ4WHVgxG1qnQeiNCLBFrWbggkVZA5YvH0mmRhIvLOz\n",
       "U8+HawCyf3Q60HnAx3xRFPUKJwKInZ2dGlT4evyjtJl7G45i3ChFZY6UgYOPiMfaPBAux1S5TjJ5\n",
       "7EAbkGjTFTq2Ir3iBonLcW3/yMtBcBqNV82bwEGnaaNTObVMzNfvaZso0ODzpAhsemwJ75+Ezmzb\n",
       "a5IP0pxnIKcQHakpRUI9Etz874NRg9lyyoSMRQFGJaT3ooHvZdVrkeBnsA2PDV5eXq7jI5hnJPCm\n",
       "AUjk2ugorjYFCv6+t6dbaY7cxwFWBRCch3dhoYKZgzECpzpY9R2fsvF2UG+IunH12ZyAnSba2tqq\n",
       "p+10CSeBhI5RLvl0i5PkAvXgoDyRUQEET0qMlEcOFLQZPsyH/ay8Ey0RjpScpheBYaDdunRem2ZQ\n",
       "6QGMHkPGNk4pNfZW0FVU2n5AU/F6XwBoBQKaLoDGKb80FlgejX9zgBod7EYgwvr6ZnlaH1KbLFPe\n",
       "0mcij5WvjDtWX53o7SOQdiKpTaFGaPyoitIRnKYX5amdp+e1K1OpEHcEqkohqq8K+GgguwLVZxho\n",
       "ubCwgKWlJSwvL9cBltyAKoqPmAZy5ueAUBdm5KrLgURVmBw4bZZazpXnvKoeEV1brhaKkoMbF+68\n",
       "rorKNxtyXnCw4Xl7PhEIngba3t7G1tYW1tfXayHLIGNgNBjXl+gpOW9xWlABhB4Dr23soOKoFI1x\n",
       "Wp7a5wBGwI/HS3hdNA8HDe5tiP7n0p5k0t0+Vd6qjCCoID/o+MtNcSo4j0jT0GccBNKzRb2hfRnF\n",
       "PzB/DQhXg5R8TaDh7437uBwjf0U8o0aVyqbj0pl4IqKOySn5NtSc6/zcwFOmifJwAOFBlP5R97p2\n",
       "mqI/txJVgflmM3w2UpwpNc+wX1paqo+qJfN6WadFaURKLhoYbdd5L7K62cZ6UI57moDmHvOkqB1V\n",
       "eUfzpfquu0DJAwR+zlsUKirsWFbWQ9OPvHhtbTQtimN3dxebm5u4cePGyB4gnN5wMKXtcXg4PJCI\n",
       "1zn29vb2GvuucJxzjI3zMIy7rvm5a5nXdJWa81OUT6QkHHQ7kFDLsi2gchp4IgcAIhe8TyHzmm8m\n",
       "FRklpFyfqlynB1jHM8ene7MIILkhHongI+eJYN8pz5O8P520bur9iACE5jUVIAKIGTg3dQDkwUSu\n",
       "ASMgwY+6//WeLjF0ga0uZmXEKG3Wxa1J7yhaQBqwqYrGO1VjJBYWFrC4uIjFxcU6opz5T5NwII1D\n",
       "1v6cC+cIhWu/cqA7kNC21W8VBpoWyUFEzt3MdzVdVVraV+xfBxcKesa5pHNgfNpof38fm5ubI2cW\n",
       "cJM2UuQpKIqiMd2kaTKQcnNzE1tbW3Vb9nq9xv4iEY/pd9TPXh4X2Prtu6pqvIfKGqWIz9umMVwR\n",
       "OYA4joflTlIEIjhWeM3HFevL9tVYJpUV2gaRwRgBPhom2sbMy8Gtym41EqgHCCLYR+rZ2N/fb5we\n",
       "ynTdoxnJPv2v5Y6mMKYORACjy6CA5kDxjj1Ouko68CJFpR3nbq6cWwsY3fwjEizsLAUOZBC1EhTl\n",
       "KpAAmiCCXoiFhYVasLrymRYFkgMNOYWY6z/2r/OTgkN1Oep24yoklE9cWeiz/o5SDugSROTc3XNz\n",
       "c7UiYfqRNRkpuCg/L9O08AS9BfTOkNcpFHPeQWA4znWqqSiKRiDl5uYmNjc36/TZ7pGlm+PN6Lor\n",
       "GrY5xzu9IwcHB419TyjkNcbFQWaO36OPKgblcwW+00jaDjqdAQz7zOvmfO+gg7/HAQkHBmxnlePk\n",
       "J+VPj41YWFio02Egr06/sA5Md29vDwsLCwAQxmJFfAg0PRVqxERAItI3x6Uz2SciZ0VFlLt/FGGo\n",
       "g9gbjYynjarWqXsbdPpBD0Tx9ADUQkmtp6IoRlzpyiTs8Jz7W11ZypAamKMMfivtdKcpmr4hucB0\n",
       "d60GrUV1J4iI5v2cH3T5qAIxCixPh31CxeBKR695mSI3pOan7u6c29GDojxdlk8Fq8cLTCpxPG5v\n",
       "b9fxEQQVDLLz+Wat28HB8EwN9jkBxO7u7kgcBN/Z2dkZCYLTIDoFeOQLVdCq9DlOKTuYB9+jR4K8\n",
       "59MvkacgBx7conTL0i1UlnFayAMS2U6quNk33EjKZULOs6Mgg/2tFr/Hv9EY3NnZwfb2dm10Mo9x\n",
       "UxPKL+6h0rIpSFHDg3kwfZc7+r7KBfV0qB6aOk9ExLjueuK1yNWmA8CVTZS+DzgONrVqo/lDj6Am\n",
       "87hlwvf0OkEEj/xeWFhoKINobp7kwUMOLlRx5UCEl3vSyV2+Sm0WF9uT7eGuPRXyqnTd7ctrkYJ1\n",
       "IBJ5L6jUdABHc9CanoJbkvKuKpMI+ERKIvJsKO94204yHR4e1ismCCA2NzdrSy46ZE3bT70BHGca\n",
       "SKlAkMQ+JLjg/HUU4a9BcKpA3HJlXfibfacCXT/+fqQAdTw4b0dKwYGs0zTIiCiwEhhdEq0eHbbz\n",
       "UUCZG2guT9kXbE96tfQ4AqA57a2KXIGA9oXKvUhO+LvMg3WgEeXvuqz0e20AYuJBBElRe84i8wHU\n",
       "9k4ubf6PrF3tZFcOGuCWe0e9E24Z8/3FxUXs7+835rDofVCm8iVqjn5d0OizyuSRa3fSSfvHLTq9\n",
       "7+58V64qRCJBqxaA9yUHjiJ2td7ce0TXtFoSeky7CgZVDrpcUUGHg2C1eJlO5ElRHorcuO4enwZ+\n",
       "AIbCFUAtsLn1u44953dtC9aXngemocDT3dPq9WOwMoEIvYsRiFDF70vyVKZEYFk9Ej62IyWp9YxA\n",
       "soNj904pTQu4jAAEgLq/gGHdeG0cgGB62q7ajz5l4B4f9VyrF1DHGIGp8oh6stfX17GxsVHvibK/\n",
       "vw9gOG2hfaz9SP5TGaTl9HdJvB7FhkVe9ePQqYMId6u5snMAoRRdcxeOpuHPaCdoY5MpqIBSSrUn\n",
       "QdEnmVM7RSNtFSSwHLrkh/lxXt4Rn54BMT8/X1tCCia8ni5kcoNlkmmcYvOB4d4JHSge+KTeCP6P\n",
       "hA77ycukyp8xFdxFcWZmpjElpf3qwkPnvjWADxgqTJaV13xOPxIOOSWh7+nvaeELbTv3vPjY1XbU\n",
       "qQ6+Sw8E+woAFhYW6jFOrwbzUIuPykKfVYCiAJbvkDc4lcmycFqTdWB9/PTZyDBwUl5oAw8KhlXW\n",
       "ujU/DeTgH0BDHitI8/dIkWfnKPlyjCl4UOMAGE7BuXHImAYG9XKZLwCsr6/XQIJTd7pCyGWetgMw\n",
       "5DcHEW5kqGeD8o6gPIqbOQmdOohwi9qFuv9vAxMOFKK8+B25Dr2x1YOgIIJoL3KDabnVYlXXKN2j\n",
       "LIPGQeh+A8AwnoKfaJORqD1yn2mxPLVfctddMLL/KOyB0bMH3IPh4IADSy1cfUaBnQIGXqdQoZVL\n",
       "DxP7n/ys/OSnjGo5XfETeET1d+9KznL1uIhpIFUUHJ/eR6w7n9exzHa4efNmHVPB+wzUJFCn0CYQ\n",
       "VCDBuW9G1c/NzTXK6JaeypB+v49+v19Pv3DlDce+AkdVOu4hyYEIr3POAxEpUZeFk04uB9oMJ28v\n",
       "9xRxXOv74/J2C16nL/kM5Qh3P6VOIa9xXx8FO9xQjbEV+/v7WFxcbOxs615RfqvnK/KYuAdWAaee\n",
       "FePB/RMPIjjgIoswosh6ipg/YiJ/Rn+ra0pRre8uRjenBtlQEPm8I9/h8/qez2N5nVJKjfXw7onw\n",
       "OrvlGdV3WsgFmgNNPuNeCHU9cxC1BZYqfyhYVMtQrQgdfJz/ZP8SGCqyjwIvFYjk5lkVhGp7KCCK\n",
       "QIRbJJpm2/iYBorAgQtEEgU676tApSdid3e35hX1KugZGeQJpklhywBPvg+Mjjv2LdMkP6lXgytA\n",
       "eM0V0sHBQeiRiPoums5wQ0nbkWV2A0PLM+kUTTG4fPe6U99wCkGfo4Gm41INE8pvlTeRknWAo/8V\n",
       "1JInCG7dSxbpCy2z8r+DBl7LxcVF016RV3cqQETkem1DkUAc4+CIzNNxgRwJaLUYgaEVwYHsG8Io\n",
       "gvROVitCN6FS8MH8PYBP09eATPVERGhU359magMR2l86JeQWuVrdDiSA0d3mdFmf8yPnwnV+kCCP\n",
       "sS26XC/6kC8dQKjA4m/1JvBdF+zRQNdyRxaZ3/N2mGRi3dRlHwU2a3vpWFX3My0u9Sb4GAeGXkD2\n",
       "fVEUjd1gtV8VICowIU8BaIBJpu111PR1nCuQUAua76lSGwckgPxUZ8Rrk0psx6MqO+WPSC9o/6ss\n",
       "Uc+zXtd2igxb5UVtf3pJHUx4TEIU56Zpu7dS7wEYkS8Rv0QBt9GYOgmdWUwEkAcAbRQNDn9/nGfD\n",
       "Bb6+HyFBdSn7UjLtKN0IRwWH71JGBaQCyadR9ORCMjPz0bzbXJ7j2mKSKAIOeg8YPXiHAz2qf6RM\n",
       "/b6CCVcOzFfdxpzGUGGj5aOA0LQdQDi/kpcIQvlb89d2yLmonW8jITut3ggVgK4o9TlSSim0vDh+\n",
       "3QuhAFT7jKBFXb4q7HW8As2pDF85pcYF+1EDrnX6i/eVd9yQcuDQNoXhbaPty7wnnbRtx9XRifXM\n",
       "yQo1TlS+kLR9VR5rOXwMqrGo1xwAAkNdocaFx8IRSJNn3OMYlcGN3GiqS9voVtq0jc4kJoIUKf2j\n",
       "CrkoHb0XNUYEINjZObQfAQb1LDjCp0uTQoc7SyqqJDPwfY/F8JUafE6VVaSkorK412OS6ahAQgGE\n",
       "C4ecJa7p87daifPz843Yh9nZ2XrpFuc22XdMzw/Z8cGrfejR+lpuVWBUdBQwDiK8XjkXptfX22LS\n",
       "KWdFOYhgv/BZfnSqkm3IfqZHQseHtqWOK49ZInggGOGmb7oNPfNYWlpqxESofJifn2/Uh1Yp66sA\n",
       "RfNmXV0hRBZlTgZqW00LiPA9d1zRR+PfxyDQlB+RDCc5oIu8C/yQJ1g2ygmOeY2HYtpRHAvzUh3A\n",
       "52/eLE9s1ikz5X1tB/VIeJ1y7ZV77lh9daK3j0FumeWE3DhkfSvgwwPSgOZcejQQtWzsSBfkaoUQ\n",
       "RFCgKBJltLfWQb0W7sqM6pxDrRGQmHSK2j1H7okAmpaEK3DNI8qHba9Wou4ip3OpwNA1qcLelQ4/\n",
       "mq9bBfxESsyFF8mtB62r5neUtp4mcqEbeVm8zTRKXoEeFZGDCAISH8uR5UeFxjNsGEDZ7/exuLhY\n",
       "j3kN3NQysA807oIeD9aTh41FBhbbI/JAHMUb4R4eGjSTTAoicmX2ca9jw0FBjo9I+pwbHlTq7D+W\n",
       "T0EEp0R6vV5jryCXAbq/Bz1e6oXmswzeBlDno95tB0zuicjJ1tOQB2fmiVBXDNDckIX3o3dzjUGF\n",
       "oHlE6eSss3HWrKarzMT7bnWyPMoQ6t2IEHM0l+UWuLuiHDA4KJsGcqvTvUDeHgoYVOnmPBkuNCOX\n",
       "uJaFFmuv16u3GFf+crCgAbHqkdAy62+tg09d6HdUNgWGCmojj1X07rSQexhU4LL/vB34m33owECV\n",
       "OdNlv6qXwK05rqpgedjn9EDwQ0+EApXIItS8fOmoelDUMp2fn2+k4QDCgYTWjcR7JCqu7e3tU+jB\n",
       "20u+KdI4Y8MBtspLIB+HpcAhyksDqf2k516vVxuHOvVFEKG8oCDCpyk0uB8Y9rWekaQggvyusjAy\n",
       "WLQu42TmSejMN5vSDlAF2/ZeVGEXnhFQ8Hs55d32njNc1PDqvvbgHRVamod6FRxgRRZGrg6RwJp0\n",
       "ihjeB70DDfJKjvH5nL+XAxHOLxTsufJ6n0Vbj0fzplou9abwGVUMEbnnQssTtWmurSedKA9cuEdB\n",
       "jio020CWTg2wrQE0hLsKca6WWFxcHJlC0ekMfuh58CnJiNQzokGeDAJ1D4PWi+V3ABF5Idy40nt0\n",
       "kU8DiODyaV+Cmxu/KhfVYleKAL3ymQfeE1j4ZlM6Lc5+1CWekVdKPWZ6dLkDWGC4dbaWmfk5z3qb\n",
       "eP1cb/kzt4POxBMReQxUKQB5D4JW+ih5tKXT5n3Q57WMUadEgMYVe0RtHhDvbBWgLkijemoek05t\n",
       "QE3vt7nmoj7MWRnjQIS7tdWV7eXW6aSorx3YelmYjg/mCBhpHb3c0bWofaeFKAsUYDr/U2hqmxCc\n",
       "6fs+L67tr9ejvstND9BAoJWZm4pss+5U+PN93wtD+1frGymAnJGh9dEPQcTW1taJ++u06caNG/Ve\n",
       "LNEKBScHEko58ODTFxqnwvd0vxKXwdrvKg/Yt7psn+/lwKZ6qxXwatkJPAheFFTn6nhUvjkJ3ZGz\n",
       "MxxYuCUdIasc4+Ty4Puah1oq2vjKpO5CzKE5d08r4/JZd8exrO5iVVcl39clQdHHl795naeJ2gCC\n",
       "x4Lkgks1LQcPLoT8Hc2LAj7nqVLvkefJ7xzPs3994OfKNa6t2oTBtAEJtr/WjdYh+Z2uY+0vCuYo\n",
       "PWC4OymAkXaOphNzBgDzcSWg8kDzVYWgPEkZw2XdrqS4v4WCI/dI+Pe4vmf+N2+W54lsbGyM75A7\n",
       "TPfdd1/dJuoBAto9xiRvf20Dtea1HX1TKeqGHMhzQ4b9pF6G6BkCSQZjaplJqgvIOz5Vpzu1ppRG\n",
       "poBU75wWgADuQGClM78Lc/3W59QTkRO2OeEddTxJ3WS3AiIc3Ghn6vwXBcRRQASZXt1eutOYHmsd\n",
       "LfG6nYxx1uTljrwDuSWUHifhS/2cd5i+XtPBqYF4yg9aHlcOQHOnPM3Llb4LNy+HUgSwx4GHiM8n\n",
       "ndSToP2YcyN7XIh+a/voSgSmr+AhMi4cnLLNc3EW7HeWjd/aXzpWaa0uLCxgb2+vXsZIwMPyFUUx\n",
       "svSbeeq3189pWkEE67yysoK1tbX6eGzXDzmKgD5BhAZDq7x2EOGyXvvWvRCUM0cBEYeHh43YmwgU\n",
       "Uq6oB03llAd5R95rUuSF8fyOS2cKInJoUe9HVlpU0Uh4tr0fdahbj5H1oF4CFwi6llgHvgpACj91\n",
       "ZUfWjCJPChMHEDkg4eWaNsrxhFqMHtSogUi5PlMrgqT9pHmoYFFvg4MNX9kBDIGoltfr1yb4tVye\n",
       "XwR6c0JnmkGkj89oHDDgVcdzpPCVD3KKgELclYL2uwMB71v3Oqn3QL9zMoMBvbSweYop5YcqJwXL\n",
       "ml/U3xF4ZVtOy3TGI4880hiHg8Gg0Y7eFpFh523DdnS5mYuJ0PbNjS3lWQW1mnaki3S8q0L3b5dT\n",
       "fIfljVYIus5i3d3jfbvoTEBErlMjIZkb9JqGW5MKIEguRDRPL1OOGSNkF8UpeOe64FAF6AKKebKs\n",
       "uvxHPxpo5Cex+YCYFsopVx+YOfStc9789sHSBqzcQshNj7SRP+887WXLvd9mIec8GhHftgHvSaYI\n",
       "gNEjx+O83UpU8KeGgY4HAA0lob+5Bbov01W5oh6SyDvB35Gwd0+EW4garOlt4d4L1u0obah8417R\n",
       "nZ2dqQisXF9fb6yK4TbRkVx3nndwp21Iq96BnR+k5+Oa+fj/nH5hXryW0zdRHq7/vD/d8CEf+5kY\n",
       "7omI4jqiet0qndkSz0io5QR2Thhqo0Yo3K0RR3+aT85iUebS+SWN0FX3qloMRLkKLlJK9QZUdIVG\n",
       "ywJ9sDt4yMVE5NxU00DeX7wWeSN0CkNXRqggz3khtE2UZ1xB+PRFNLiisurvtjl1YFQRuOWbAxIR\n",
       "mD5KGaeF3NJmfzIYkEd6e93IE0xDScc225XjS7et1s2kXGhHQE77MgKfDiJoHKiSImmEvcqNNiCY\n",
       "U0JedpVpNEymZXXG1tZWbTT4kfBH8UZE90gRgNB4AqC5j5AbCTr+Ne0IEOg0tYMTlRmRYnfDw9MH\n",
       "mieZepycvpvTEbdDVpzZ2RleUHX1uEXpHghFZeyIKE0HC8BoDEJOyShTRcDBlbsiY3dNEViooGJZ\n",
       "IouT9dM8o3L4/JnWe5qsTwrriFR5uuDWttOlsVHfRTyk6fO3txkHfhvgjQa7Aoic4ncFwWtAMyjL\n",
       "PVV8zi1fFUqREp4WfgBi8AiU1px74NxT4IGVulWygnPnAwUPjKbn6oto4ygtlwO/tnlwVeTu3lZe\n",
       "ZVm0XrnYHJWL5CnNV/nA3fXTsNnU4uJiw3DQeqjC9fbWNtH7yjP6nMp0B+kOHvR9YPQQPOcJzdd5\n",
       "DxjuPxJNrWgZHGA4sT4qt1wO5IzMqQARUWQ8MFTmJB0YDhpcIEb/I4UQWYdF0Twj3qcnIo8DGY1z\n",
       "inoKG0GQWsZFUWBubg5LS0t1XVmeyOLU9tAyeLRtGxNMk8LgwGlzB5O8j73tmIaDCPKd85F6LyKB\n",
       "S2HvAsQFAq/rM259tvGp5hfVL1oBom3lgpTjJwfaJ51c8ZIiEEHrPRpH5AlaaMBwWkQ/Cv65rp8e\n",
       "Q24ipYfieX84gNDgxxwI9hgd5xEaHgoidJqF7yipN80Vn4MolWuTTouLi43xQLmtSheIpw/Zt3rf\n",
       "Y43YH/R07e3thf0X6ROS84Dm6d5ml90KfhVEuAeJlAMSOVnTdt+fOan3+swO4HJB6vNW+kzOitRn\n",
       "xlEOoeonEsIeNKfpKSOq0FZmp5CIEGnOZa1M414S/9Z2yIGuSafBYFC7qEk5paseK2DU+vT28+mp\n",
       "6J4KJh+okQCJhEWOd3PtnxvAEVhRpcR3InCi7+fKk5temTSK6kM54TFCOUWiU4rcAAgogQjBP2MC\n",
       "dBUEwcPS0lINVvb29rCzszOyK6l7S9hfkSfC214Npwgw8boCCHpL2vggkpER70dR+5NKvvGbenJc\n",
       "fgOjK3PUKPUxom3PdLndfeRN1Dx8vLKfCFx5XQ0VpqNgQUGl9pXLe+03V/YKHJ2vcmAyJ2NPQmca\n",
       "E6EVi8CFvtM2OFy4+n0gH+2tiFBRfjTgvAPdKnKhUBTDtcYppXBDmkgYMf8I5DgDeNtGDDLptLKy\n",
       "gpRSvbFLpOh9gHCwucJQr0Gu/kybSkWFP+fJeWIn7yspeHDLUPPVvB08epqR1aN1o1JyC2acUFMh\n",
       "pZbQpFM0dll2DTamYvcpK21vLndTi3Nvbw9bW1vY2NjA5uYmdnZ26meXlpYa0f8cx7r7rBsEWl4d\n",
       "z7n+dFDqYJT/VVYoeFEDS0n7nO3I5/RaJP8mmSLPtE9n8LryOO9pu3s/uPwlj6gydkVLck8EeYTf\n",
       "ykO6D4V7u1WnMF2WwwOAHWzwefd4OEhqAzBat5PqjDM9xVMBANB00WjjHEVxepqeX64hXRmpG8rz\n",
       "iBC9ugU1UIr3aWEzDw8EjMBEBCC0/pHnRMvpDDLpdO7cOdy8eRObm5thHTig3WKg8FNPhE9VRQPE\n",
       "UT8pEixR+0UbXUV5eLq+LNUBZDToc9MZboHqe/zt7RBZw5NKqti0HcgT9A7s7u5icXExFKoKOlSo\n",
       "EkRsb29jY2MD169fx/b2dp0HAYSmpyupvEycEov4KQIQDkB0LxK9xqmM6JA352v15Kqi8vEUAfRp\n",
       "AREuE6IYNtcFfJZeYR9POdmr3hnKiwhIaH6MYeF+DzpNS5xJJ/AAACAASURBVBBBjwp1RRQYr+M4\n",
       "8kRH02BqIPiGVZHeiwzNSHYdh85sx0pX9nq/DfW1KXRPT0FK1DBu5flclubvefGbO4WRcdztxHyU\n",
       "ORRERPOrOfDgHy3jNAoG0traGnZ3d7G+vj7iSXDrkm2q4I2BmdHeEWpJ8FtRvYMzB2kRIHCBzv0F\n",
       "FKBo+3Num8pCA/V0NUDkoWCeSs6H+ozzkQLkaQIRQBxUCzRXWeiz0fsOsFRB6zbERVE0lvMBzUOf\n",
       "eCCbeqdUAbVthww0jRm+Qx5dXl7G8vIyBoNBYxqE70XKTu9pmSM5pzzs9df9VSaZvF5thpbyvT6v\n",
       "ekIVr8oMxsOobCCA8Hg5ftR7pGPal59r37GMundQVMcopsvrpbpLA4G1zt4OrjMcnJ2EzgREeAdH\n",
       "gmIcIooARG4ARS4/Fyre2Z6GpuWNrjvMuduJ+bEMblmocNB6tQGJiJTh9dlIuE4ara2tYX19vWZ8\n",
       "tQi0fxV5q4B3l+Xc3Fy98QoVBN/VdvJAWg2c1S1vvS0drKhlSO+U9j3n2aNTH7U/1cr18eCKxQVE\n",
       "ZHG48pim6Qyg6Rnix4FlBCT8mgIs9hvBHLc0B4ZbYut0CccTFa4e0axt6vu2aKB15DnUMvAApsXF\n",
       "xXBq0w0cB4wRqCBFYJPKTndinTZqAxFteoCyRMea8sT+/n69/biv7FLDRftZ04mWCkdlIbWBHsoS\n",
       "neYF0NAdQMmH7EsNCPZlqjkD3NtSd3U9Dt2RmIgcamxLQytOV5cKmnHp6bwiOz9yG3t+zEMVmj9H\n",
       "lHt4ONxYSgWDCgO3DnMd29b50XyZW+CTTOfOncPy8jKWlpZGhK4rcLZ7pOyBoaXFD0FG5N1QYj7q\n",
       "ZuQyLwehOl/Nj4MIjbfQ6Y5ofpvEZ1keXsuBBweWyv+ehqc16eSWd1Ru9fBovEIEMDRNCls9vpsA\n",
       "lrxEQEE+cAADNL0KDiB8LHKcsh6zs7Po9/sN2aXKYZyRxesKHHKGFDCUsSmleprk5s2bGAwG9aqx\n",
       "SSYegw2MbhyYAxPOC6ovvA/pndGNrPQALnpIHdBGY829ZrweyTPXhzo1poaN6h4+p306OztbBwNz\n",
       "RdHOzs5IO3l7OFjxAPfj0JntWOnCj50bPUvic2pxR27NCAQAo0srXalHAitqcM0/cm/5vg7u2s4J\n",
       "9ZwC9Q9JLWrfs0KZftJpZWWl/hweHtabyejA4jfbkwPc58T5bE4gkxQwuldIvQzR4IueA4b8GYEI\n",
       "XyIIDJcaAsO+pzAjzzjAzPF+VEdtPwfWk06R+57EPnAgQKvarU4VtuwzLhnU1Rk6rUlL3a11bX+W\n",
       "k/2u5dLpTQUUfGdubg6DwQDLy8tYWVnB8vIy+v1+A5i4F0brH4EkN2gikNnr9WqPx+zsLK5cuYLV\n",
       "1dXb34G3mbhjJceSuvdVJito035REKdjAsAIXxRFOTXKmBvVO+rFoedC25j95kfCq6eZFIE+gjtf\n",
       "euuAweXV4uIiBoMB+v1+LWsY+xMBLQUvuoHb9vb2iTcfOxNPhCMyDr4IRUcDwxnHPRptMQ3AqIsz\n",
       "Z/XkUFubS9wBhDJ0JBg1vwg9RwJDy6SuVypf5u1tMamkIIIgSIPUtO10HpLL+3TTHo0zcbefD2Bf\n",
       "jePxFFTm0RSRCh7dE4CDUucVZ2ZmQoWk3iJ3a/qGZJFFxY9SxC85S3aSyceK8z8Fte7jwP5yaxRo\n",
       "8pAGLHKp597eXsPF7W5pBRE6jebjWYErn5uZmal/sxzz8/Po9/s4d+5cA0REys4BRBu1yQ4FEZxS\n",
       "e+SRR6YCRGxsbNQxLL7ldc6Yo1WvVrxe93bRPUDm5+exs7PTiJfRKcqDg4N62iMK0ibfME1foqp8\n",
       "SWJfcXmpk/KEggiCn8FggMFgUPMtAZDLDecLgojt7W1sbW2d+CyVMwMR0XSAu/DcVRQpdPcyqHsw\n",
       "el/zyQ1UJX22TZA7A7vFEpU/+kSI0e+pq4sIMnKlTkPAFIBaoK6urja24Y0UIa8rePKNh9Rz4dNG\n",
       "OgBdMXEp4Pz8/Egwk1u3Opg9ct8VmE59uGWidVIQoXXQ+85jytM+TlxYsBzTQN7ffp2CniBiaWkJ\n",
       "s7Oz4W6D2lcqJ4qiwPLycr1HBPeNoLWrwa86/n07ZJ2uVPATKTaWZ35+HufOncPq6ipWV1exvLxc\n",
       "KyUtc5tsIuXkRw5MUunMz8/j/PnzuHTp0m3qtdOjzc3NOl6h3+/XQIugTsc2xzHQ3LiJ5H2lXiPy\n",
       "FpcNU84y2JJ9oUYGx6X2QxTk7XqHPBV5uTWey/WiyobIYFKj1I3bSGcxqH19fX06QATQ9AroQCey\n",
       "z7nu2j5Kbnl6ftqJ2ik5ay1yp3qnR1Mc7jaK3iVz68DX990dp0yhy9xUkdJKmhaan5/HYDDA6uoq\n",
       "Njc3cf369fqe8oeDCLqgqTgWFhZG5gpVqKugiSgCeXrPLX8FJONWV7hHxNNzpefgVvnCBUIO6Go+\n",
       "TJMejkkn9y7ymlr86olYWlqqFbfWm22uwa/aR4PBAEVR1K7pvb29enfZhYWFEWHvXg6NeYq8Jy4n\n",
       "SHNzc7X3jV4B9o0CnYincoAxZ3xo25EHOJ0zLSBiY2MDi4uLODw8xN7eXmO6gpa7Km718uV0hYII\n",
       "NbzoleB4023QmabypMtpNQSYPoGogwD3XhdFc7pUDQmSGicOJJT3ct5y5ZeDgwPs7OxgfX0dV65c\n",
       "ma7pDP/twjkSxm0AwpVmDojwXvThs55nLj1nnmgAuyJq+1DoReiUHa7AgfO5eqqhKpgcKJo04pwe\n",
       "l7pxflsHA4DGAAGG6/11+2J1HUbgwQVABGh5j9/eJ/qMg4hxliPBgCoVB7SeDutPgaDTN17eiKfI\n",
       "V7Tep4F8vEXWGPuaq15SSqErWJ8HRuVLr9er55Dppu73+3Wgr4N4Xos8Ue5BYvnVE0FLlXPYdH27\n",
       "QnIvR9QuEYDIAQltCyq2lZUVXLx48XZ02anS7u5uI/ZIvXlqVHHqqG2HVxL7ioYIYxB8Ga/HSDlI\n",
       "cOPDdZlvUqZjnbygxgDz1uf0uuqknLygh8ZPeXajdH9/H9vb21hfX8eNGzdqb9xJ6Ew3m9JrbHht\n",
       "JP7nM47APT13WWl6zkC8Nw485N71Z3P3mX8OtLDcEfBQ5tS4h+3tbWxubtaf7e3tGkQ4sJkGEFEU\n",
       "RR2tzmCzwWCAXq9XuxBdWLOeCqrm5+cbIELdkup+VmEeIfTIg+EDnGn5Ml1XHjmQyXQUhKjrkwJG\n",
       "B74Gz0YWj3qyfPkr26Lf759Jn94OcgCfU6DknZQSdnd3R1ZYUZC70C+K0gORUqpXZwCoAS29G2xb\n",
       "ncZgulFQto9v7RP1YjBORmNz3AvmPMV2cLmX++SMNqa9tLSE8+fPn6CXzoYODw+xsLCAc+fO4dy5\n",
       "c7XnRg0sykh6IrwP9BtoymZdzUVe0fGj7zOugmloetE1lcVu7EbTC20xdUoOMoqiqMt8cHCAra2t\n",
       "2sjUJccsDzdc08/t8GKfOYiILPC2zuA7/vGB6wBBha6n7eXJARUtexuo8DLnhIvmFwEJHyCMgVAQ\n",
       "QUbJTaFMw7QGFQG3GyaIUOuAFrSCCNZZQQTdjrTkNEiSg1hd2wAalr1Pqamid1ekejgiYe/xCy7Y\n",
       "1dWua8x1fbmmoSCCZXOrBmiu2lGe10PgpoUcSPCajhldLskjox2oKVjTfmC783ev10O/368DHdkn\n",
       "FLq66slBZs5joABE+cEBalEUI1MawPgVXTlPhE6V+Tf5YnFxcSpABAEfA1EZA+NbQtMbxc3BonRc\n",
       "xgLDMcjpC/6O5KkavO7x1fGmpH2hvKvlygEJ5hHtO+F5q3eWwGB3d3dkzxsaYBpMqUtCT0Jncopn\n",
       "Tpmqe9c7J/eO/9cB4uRpefreqdEncmmrEFfU2FY+R586nxvFPRA40O10/fr1uvOpVNzydctjUokD\n",
       "hEv2VlZWcP78+XoHS20vKl8Ocg0w9UA4BXHuGlbAoAIDaPIigBGBr99USqpImIYLBU3TQchR5jQ1\n",
       "5kVdsST3XGjdOQ++vLx8Rr16Mor41q1vtgmtegYM6tQE60/vlLcrr2l/OmjUeJac10FBBdD0gDog\n",
       "oGxwD5dbiuqNUL5lmXPgITfmVbZQ1uhmW5NMy8vLWF1dxYULF3Du3Ln6aHA1QCkruIJDx6rKQjUi\n",
       "VKYQqFCOkBQ06Ph2cKbjndfdW6Dvqo5j+dWLqIo/p890mo5jXw+W44o991CrQcpAZJWRJ6EzARGR\n",
       "1aadoiDC54NyQMIb2gdSrhPaGixS+l5OBQzKjPztgzrnvlJmV6XBQ4Z4WND6+jquX7+O69ev13ER\n",
       "qgxdkUyDJ0IF/dLSEs6dO4fd3V0cHBw0vCwU+lpPttfu7m4jAEqFNdDcXAwY8ou3HfuAbagKW4VS\n",
       "pHScpyMBr++M27lU66e75flunM6n2v/Mj16IaQERQN7zx7ZhewCoNwrS0zd5Zo0LR46JyNLU/ncL\n",
       "F8BIsBvbXAEqPxGQV+DnXghVdiqXFLhEMikHIhREa1nVG8J2m3Q6d+4czp8/jwsXLmB1dbUBIrRO\n",
       "N2/ebMgAjjM1DFQ2q4zm6g+uzNExBuS910yT8oJ7R5AcaAJoyAOm6wBCjeooP/ISp3kVRPBQOXrP\n",
       "yDPqvdU9UgDU8uikK7jOBEQAzVgHfruFzg6MrPpbJe+InOtRy+T/I4GgZSuKIoz8d2HC+tH7oC5S\n",
       "n75gR6sXgp4IVay0KCJLZtJJ0fTCwkK97G53dxcbGxv1joEKQBlApSAiOhPAvREkBXoURjrQFIBF\n",
       "HjG1PHPLNn2KSt/nYGW/uWeM76pg0bMZ3AvBd1yRqBdiMBjg3Llzp9WNt5XarOlIYPd6vXrJJ+M+\n",
       "dC8H9SaoAPdpLJ9CdO9T5G3iu6TcM5HxQRlHXousQZczOeCgn5zBpfU7PDyst0medDp//nz9WV5e\n",
       "rvvD20G9t+o9itrI+1y3OSfA0q341fMBxFNsOo2Y628FmOpJyRkdzn/avx5Pox4GTmOoB1RjRwgk\n",
       "KFfVk3sSOnUQMc5FAwyZXQePNmBOWUYCW7/1t7uf9b4DA/1WohCiguP7yjDuzlaXuTKBlovWJk8Z\n",
       "vHHjBq5evYorV67gxo0b2NjYwM7OzoiV7Z9pIe0DeiMODg5qJL21tVUPKu0fKgYOHh4LHW0S5OCP\n",
       "pCBCrzE/fTcHItWTlPNuReDB148zD+UTACPWSWSFKPjQZ3T5LD/TSN7uCh4p/IEShK6srNSWJYEA\n",
       "3yPY0+sq+MljaoX6dJbKIuUJyibNw5fXaRm0Xu7VjKYYcl6IHFBxZaflVB7LLXmeJOI0BndkjLwr\n",
       "7B/yhY45INYHTIPtQYOFz1E2a2Au5YOSj2/vCwAjho0aN9qfCgyiwG1PTz0RKitcXrKeusEajXV6\n",
       "X/g5CZ2JJ0KtwNzUhiI0twIVueVQpr/D3yQXBrn77AhlGkeEivScKVS481uFhFrhfJ/Cj26p69ev\n",
       "1yBifX29sSkOmUwB1bQBCe0jLvdMKdVMPjc3VwcJRV6AoijqeT0qZr6nm0/l+lktBPanKmMVCA4s\n",
       "3DPhQELLqmXWlRhMjx9dAQBgRDCoB0UFZKRMuL3y6upqbclNA2l/cZy5MUGri+MFQK1gCCo5BrWf\n",
       "gaFwBoYHb7HPqTQILilotb2VtO90uiMXTOn1U3JZqFar9rF/69iP+JHl1HcotyLAMml08eLFGkTo\n",
       "fg3qWWE9aYAAwxVaaqQp+bjW8euAX9tU+9T5S8tF0vQUQKp+UF5jfh6jox/dwI5peMwL8+ZvBRHk\n",
       "+V5vuBU6p3NOQmeyOoOMrPNN/ox2xDjrzgVOmzfCwYWj9OgZBQNezuhdBRJq3eiz2uHsTApC7kJ5\n",
       "9epVPPLII7hy5QquXbuGGzdu1HNYatVoG00TeCBpX6mQHgwGtYXhAYQaF6DBTHTRaRv4IIy8CQoi\n",
       "ovlSdS+OE9j+iYCDlol1ij7kC7cs3CrSOWGWc3a2PGZ6bW0NFy9erHdGnBaKgASJ7bKzs1OPl4OD\n",
       "g1roM47I+4wCnM+p5anxSRT2uj+Alst5ycd6SmkEQKjnUNPy3w5CI55wIKHpKL9pWmwL571Itk0a\n",
       "raysYDAY1BZzBKTUu8J5f12VowpcxyZJp0Q4DUieUhDg7a1t7LKE9wGMLN92UhACoCEzIt5Qzwbr\n",
       "7/tBqHzRqQzd2EpjtLh520nozI4CVyABjAYZRSBCEVxkCeaUpw8SF/IRgPBno7RVqEfPE7HmwIp2\n",
       "PDv14OCgXrp59epVPPzww7UHYmNjo3Hgi3tsVFCRpgFQcOCr221mZqZejqgKk8uXWF+6Dll3nQ9V\n",
       "a9M9AzrIFARoW2qsRDRfyfQ8Dc1HQYQGU0YeOKDJ+xQGamlrMKa6RpWPDg8P61UKq6uruHjxIi5d\n",
       "ulSvr58Gisacjx16G/i5efNmHVi5tbVVH8zm44Lg4PDwsLYyNd5kd3e37hudE4+mNLRs6r0ChoGb\n",
       "apGq58jTUPDKZ/Tb5aLyIL/d26U8yXc8oHcaZMRgMGgctBYBKPXkMTaCfLSwsICiaK5GyRmhOpYU\n",
       "mLiR46T3IxkTtbkaI2osKdhV8EOijPQpOT3108cL77s84UcPtDsJnTqI4Byyo3ZgOMB8sPCeW9mR\n",
       "N6ENFOQsxQg46LdbArzGZ9pAhA5ifY/fCh4owLiP+ZUrV/DII4/g6tWrdYAllZsqXG1HZfgIVEwi\n",
       "eVsWRVGjYkXbKSVsbW3V7UUlr8A0AhFsiyiC3vuP5YksP3U5RiAil3YEIjQOJlKWDjB1Dl/TAIYC\n",
       "Qj0yOo2hIOKkAuKsyNvGPYvsa925dX9/v95pkh/dzVQ9ATMz5e6d3JxIpx9UjkTGipcRwIjHQb1V\n",
       "fNYVdiR7cko98kLkyqcWrBtnBE7cC2EavBAA6v5cWFhorMoAYjmtfalWN8eQTjtpjIN6/7xP2bbe\n",
       "nhEpuFH9porf+SQyfBxEaB1V16jHMgLOHC9+QCN5gdMYHD8noVMHETxkhh0LxDtNAs1lbqQ2xRgN\n",
       "/LbpkOOSKxkXcMxXPxEA0YAuCsOtra0aRPCj81dMPxo4OhC8bJNMGpSq4IuCLgJKbFMqV41D2d/f\n",
       "H9l9TgWIgrucVam/x3kicrEQkWB3AOH5eH5RIKVunMU2YEwII8o5hXHp0iWcP3++dgVPw/w30OQF\n",
       "Fcikw8PDkeXPW1tb9U6nXNLKAGVa+EyH7cD2ovXGb8Za7O3tNaLWacl6H6pC4H/1ROVc0lpflV8q\n",
       "GxVURgCC9XEvhLvVAdRBdNxQi56YSSfdNI4rs4Cmcamyg6CQ7UbDgiCKS0B9isONhf39/XqzMT7D\n",
       "PNlukU5SjxL5wIO9gabB4DJdlXwEWP19BT1eBwXa6sUoiqKewuj3+/XnRH11orePQNxmNqVmABvJ\n",
       "XUwOInLkqAwY7VxHhn4daHZgRJFFwOueVgQktIzqquYeEJy2WF9fr7cs5Xp3LZczogsVBxaTTDrl\n",
       "44oXaB40Q4FA97NPQ6gVoha8zmX6PCjTiXgFaC7fylmYERghqSfCFVCu35ifxr44iGBdqewodAaD\n",
       "AdbW1vDYxz62BhHLy8v12JsWagN2KhwVRHC5NEGETglpP/E33bhsx16vV7dnURTY2dlpuHwdCEb9\n",
       "yOt8lv2Vc4W7d0PHbg7ARoaXersUROhzvV6vcWy0e0onlZT31SrXNlVQ0Ov1atmp+3yw3fgsfzuA\n",
       "I49FAc2aP9PU/uBzDmqiflEvgv7nu1GdtS4RiFC9Sr7e3d3F1tZWY0k0+ZSgkjwxGAxO1FenDiK4\n",
       "kZBGVXOzC3Xr8L9+A/kgIFfuQFNBaKfmKMqP6agS0c6LnlcFkOtYKkMiRPU8cCtSBsBEIMvrHQGt\n",
       "afJEqGBXq8oH+Pb2NhYXF2sgoQpWQQS9ERp86fPR/O3uTF7XbweOORARERWIB7TlPEcR8FQQoXPC\n",
       "Cmy42dL58+dx8eJFXL58GefPn68j2qfJfa0UWWgUvLu7u/UKphs3buDChQs1cGRMBIWox6yokOYp\n",
       "nuqR4EenxxwIuhJ2l7R7vyLejsa0u9fdwoxAi5fRFQ/vc9+QpaWlEQU4qaRlVwCnK5l8VYMCbQC1\n",
       "nom8g3odaMZG+Ooa5yO2Ib0ffJ/eU+0P73c+w+fVQ0D+VC+WA0zlDzeeyPfUterV1LJwrxDyxMR7\n",
       "Ii5evNg4GITredV1y4pGglw7wIWvN3CUhlIEGjQd9xpEoMDf17p4x3JOivXmPhD88DAtPufzcf5R\n",
       "cmXodZxkIojQQRS5Z2k18kPeURDBvmJ7q3WmniP3SERgzL1iPnj9GSX3Go1bjeEuyGguVi0ZHysz\n",
       "MzPo9/v10c6XLl3CxYsXaw+ElnVayduOAGFjYwNXrlzB2toaLl26hN3dXQDDoEjdvdLTo4WoUxpu\n",
       "BGicRA4MKK8SlGj60UfByDi+cJ7I8WkEaF1usL4LCwu112XSSceATmns7u6OyDyfpiCQIL846FJF\n",
       "rxRNE7AsbGeORZ2SoCzzsmsfq15y3orqwef0Osuo0xb60W2tKVs1T/eQkG8nfonnhQsXwh0FuSeA\n",
       "gwgX4BpQlkNlRHfaqerujsgHLxB7INwi4Lsk5usoVt3O9DRw58lr167V+yDQjarlYrrOZE7aXlqn\n",
       "SSefzgCalltRDA9KYhCQWtYUBtpHakFy34gIRPh8qPIfEK8aikCEUsTDUUCVz2+70HKQoJvLKA8q\n",
       "iFhbW8Ply5drIKE7Yk4TjeNbFZybm5s1iGAMEQPF6Nbm6g22qyoBHsClAd8qjPXUVH1XwSH7hnPt\n",
       "2m8KAH11jSt9lTkRT/gUajRecjJCQQ3bZxq8EECz7IwtYL/R+vcpKhoWBwcHI3FllCnuiXDZ6XEG\n",
       "zEfbWQ0Xksb8Rf3ifaf9p799Hwimp/996kKNVRql5EWtp0+RTg2IWF5ergcbI27plWCFdbC7t8C9\n",
       "BKTII0HLXKcDIkvUgYgDCQUPDiicimK4zJB1ImjgN0/gpPdhc3Ozds8r2gWGDOOKIGJCLwfrNel0\n",
       "9erVuvwqJFhnRdmc8rlx40YdP+Jzx6oIer0yyE49Qgo+VCm418oHdgTOon7JeSocyPr1XBpuWWld\n",
       "Ukr1sciXLl3CYx7zGFy6dAkrKyu1IFWaBlAJtJdTQd3BQXm+Cjdk434qrD8V5uLiYm21ctxGQEJB\n",
       "Hy11HZfM38GhCmMKYj2HgZ9onxDnLfdkRgDYedQ9Xd6G7hWJptcmmXSFhbr3VRa78QcMwcLm5iZ6\n",
       "vV7tpaKS5fO6xbWmpZ4sDarV2AvtQ24ZreNaY2h8Ckt1j3os3DvFNPntY8DPWeKpnATA7HdNz8sS\n",
       "ebGOQ2cCIubn59Hv97G9vY1+v18rVu5MSMsBGGUIt/L8ugMAJw3WYzo+16jvOYBwT0SkQNihDGbh\n",
       "uRdUevxsbW3Vc1YuJPgdfY5K0wQigOHA8+VnirIVgLFN3SrgO+wfznfTI8E4Ge+/6HfOunMrI+JR\n",
       "JRcIJH3XhYpe17lSBRGzs8NDyy5duoTLly83pjHI38x7GvgBGG2nqP1Yn52dHVy/fr3elO369eu1\n",
       "QqBy4Pw/xxrbmparWoAEHv1+f2QlmY9FncZQb5l/NEDOPWBan8j7oHLHBb5PpUSeM+bjIEKV4KST\n",
       "ggiVDxwrflKlWtr0SLEtGCMADOW7emV8vMzOztbynH3s7e2yo9cbrg7RPnIAqH1OXnSKDEYFUZSP\n",
       "nL5goLEGC1OGqLEVgZqpABHcLOTmzZsN1M5lVETr7ASNjlUlrw2QE9xt1rgCkShgUt91AKGuRgAj\n",
       "HUo0qOCBlvONGzcaSJEMwHTUQ5IDETnFF9V9GizPd7/73fVvdfWSNMZBPTtsY1p5HCROe3t7jbMq\n",
       "IivClTm/3RtBchCh15U3XOn5b01TwanPvzJ/5dNer1efFcEYiLW1NZw7d65eT68eOQWq00qRR4jW\n",
       "5Y0bN3Dt2jVcvXoVS0tLWF1dbRwRrkt/2UcqYIGh12d+fn7Eje3jz6c1xk1dREsuWQ9+k9c1nsrj\n",
       "Y1Qp+ScnH1gn3bDJAzAnmQgS1HNE/k4p1Z5cDdLnc9xoSsck0/PN+0gcawoOfZkp+xoYGgM69eDy\n",
       "xT0Q2u8570OOFGwSQOgR4LkjAhyIOrBUj8Vx6Ux2rGTBgeEpg+xsbnZB9z89E+x0ZYYcinZh7yCC\n",
       "gpWN6cLbpzAiIOHCRS3Ezc3NBmjgb+5ESe8DhRmZyJnK2+xWEOM0WBekt7/97fVvFcgkHSwcKDx4\n",
       "aW9vr44o1mA2Vea0IHSQ6HM+4B3IueUYWaV6T/szmiZzMOHWpwbyRZYlhRs9EBcvXsTjHvc4XLhw\n",
       "AcvLyw3LSz/kz2mgo/Av25HTOltbW7h27RoeeughDAYDXLhwoW6LhYUF7O3tYWFhYaSddUqC3y43\n",
       "cgDflXiUloINLTd/a7/6roJRQJ8HH3s5XF70emUE/vLyMlZWVuqxwrROemrjWRC3NQcwUm6Oa+4H\n",
       "EpHHwhTFMNaNY0I9kyqHqKM0doD3clPawCjg9fvqMVEgEYELfTeKs6MXgnF1BwcHjf1NfJqEfOGx\n",
       "EJz6Owmdya4jOuC4Dzo3u9jZ2cHS0lKtiFXJu8sq546LLEZ3czmIUEFOxnIPiHsjdHAfHh7WSo0W\n",
       "EV2r165dq893p/dB591UCeUoAhK8nkOv0wIkHESQN0gK4hSA8TqPty6KokbU+g49D7TG3K3sglgt\n",
       "+Ki9SRGg077QVScOKJTcqqBgitzT5Dsu01MQsbKyUk9jROCZ7Xc3kCpfjqXNzc0aRKytrWFrawsr\n",
       "Kyt13xNEqBwBmrsXOjkIcE9E5AXw3yTlBecDB5EKJCKvlE9HuHJQEDMzUx5qt7y8jNXVVQwGg3oM\n",
       "3A7L8yxIT2pluakc6YVkbAAwOjYVLFK+uywhGNU2jkBEW2zLUci9lVFZHcBG3ioN/KX3W0FEr1cu\n",
       "cybYck9LFMczFWdnKOlgJCOzIdlprBzd11TUeupem+vHhbsr3whE+NLM3BylKjJ1KW1sbNTr1jl/\n",
       "T8tZl5FpOZTc1aV1cYDk6eSs5Emmra2t+rcKZaAZ/MUvRwAAIABJREFUJa1ATS0A3W+Eits9DEAz\n",
       "aJODiM/pf5J6FiLrkaQuQn1m3LcCB13WSwGgYMoF6Orqar2kcW1tDYPBoPbEKA8oAKdXbBpI65G7\n",
       "T1KP0/Xr1/HQQw/hwoULuHTpUm2cLC0t1bEOBGq0btWwaJtKjMBf5D2MrE4tp8/dq9GifOBjOQd6\n",
       "+YyDF5Wf/X6/BpmLi4uNSH0Pvp1EouxXD53GJ+iGXtEqHLX4qaC3trYwMzNTL/91Y/Hg4KCx+kYV\n",
       "rgIMXzHodBQe4VjVa2oA85tjWYEDDVSCIPUo+DbhBA4ppQZwmKrNpiJSpmenLCws1FMcS0tL2NjY\n",
       "aIAJAOHyK3c5OqnS0A519xYHtIIJBxeqvLh0c3t7u46F2NzcbKBd9V6wfJHyUeWVI2eyCBzlrKtJ\n",
       "I12nrsIQaCpbggjdda3X6zWWdJIURJDUHUnBo/nyPS2HT1vxGeW3nLKJAIjXSfmH4IjlVq8ILSzO\n",
       "a58/fx6Pe9zjcPnyZaytraHf7zfmY917sbu7ixs3buChhx46aXedGbnijtzEvF4UZRT99evX0ev1\n",
       "6s22BoMBUko1iFhcXKz5KKXU2OxOBayPHVUAEaiggoq8V1p2j79i/7hMUVkRTVm0TW+qkuXulCsr\n",
       "KzWI0CBd9/pNKnG3RR2L9EJQGRJUcApcwTifV8NVvTlqmGr8CRVzDkRoXIZTDmTqPZcpuekY9azq\n",
       "mTEEEbozp8a90DjnlI3yt293PbUgQlGiMj87St1HvvRve3t7ZOVEDkSoderzWDrA+fGNO9S9qEKf\n",
       "Hgadk9LNtNRjwbzcash5C3JKSMvsQELTU0tlkknn6V0Zu4dIT6DTCG0OILUoiLzVu8XpDA2w0/zU\n",
       "QlMgodeA2JJo8xRpX7pAULCqXiqgub15r9fD0tISVlZWcOHChXo/CM5xMx8FIbRceCrsgw8+eFv7\n",
       "7rQoByD0vt4j0Nrc3ERRFHj44Yfx3ve+t44RWV1drXmABsrMzExDadOKVUXNqaPIQ8H74xS8llMB\n",
       "McsdGSbuifD0cyCCypKAiNMYy8vL6Pf7WFxcbHiopglEaFwE6+n7xrBfAYQbS7EffRqc/KbeZWAY\n",
       "P6fTGhoToQG5OW+Vfrusd49m5AlVGacebw0u17NzCByjPJSXNNCWu1XycxKaiMkxNjQHAje/IJBQ\n",
       "78Tc3FxjqsOtRKbH384g/PbgSZ9zovuIQX38zXsOKnQ+0zsx8hpE9SfRWtF7PgB0sOhUQA7ZThJF\n",
       "QCcCEL53CJ/TFS6RlccB7hHzuuyOQsldyAowXPAwf32ev/VeVBcFo+6+ZntQcBD4cBkn94PgNEZu\n",
       "WRgVKwMOH3zwwUb8ySRTG4BWciXN+nJaYzAYoN/vY3V1tREbQxe/erfoyfIgXAUWufGrPKTPehkV\n",
       "4OpUqO8LoXV3EJHzPPBDsEwLnYqBwZRAc/+ZaYiJ2N7ebnh01RjTj57NRNChgEnHsspHtgc9VMDQ\n",
       "a6TLJH1Vi08LtRkNSjnPhd7X/wcHB7WOobebn62tLfR6vRpMESSrN0sDQcnPGlTph8ydhE6dm9Rq\n",
       "0/+Rq1LnuoiqiZi4rwSZgQyjrsDIIteOzVmHOqAJDLhHPztNgUtkTSp4iAShC6BxlhbTiywQPq/e\n",
       "HAANpp5kcrcxv13Y+lI3V84ARqw8j4lQtyTBqU4bOKBR6y66r8/p805eVgURkeXJ+hEELSws4Ny5\n",
       "c7h8+TLuuecenD9/HufPn8fi4uJIm2l5uCz22rVrePe7343777//GD10Z8mFa/Sbz7E9dZXG+fPn\n",
       "8ZjHPKZWpJwu7ff7NXDQ8UtPKC1OVRxutausUsWiz0Xgkn3rH58+iwyEnBdCgbGueCOIiE7FVRf/\n",
       "JBNBhE9psF1YV22P2dnZ2qjT6Rs+7yBVdYbqAh27vmRX94xwrybQ9D5FwFCfy3mvANS6iEs4HURw\n",
       "SoKeBQIBBxH02NIrl/uchCYOkqpSBJpHwuqaf2BU8UQWvoMHV1T+cYDhAVDqivS5zJwCjwatAym9\n",
       "5kwV1csFVWQFTRtF7uxcm3p/6oDNgRG1UJwnIosiUtKafw4Mt5XVy+sAW5WUTu9RIbhFFeWlU0HT\n",
       "tjrjVkAwn42minJLJbWtHYzqdBn7xds5xxttY1Tzc1mjfKBj/ajjOAc6pmVqM0eqhCNQqfXVoMdo\n",
       "2sKfy610IeV0hF4fx6dR2V3O5OR8m77y2Bn3lkX1buORnBF0K5RO03JNKU2+WXyXUlEUE4kmOp64\n",
       "MzSp/AB0PHGnaFJ5ouOHO0PH5YdTBREdddRRRx111NHdS9Pr7+qoo4466qijju4odSCio4466qij\n",
       "jjo6FnUgoqOOOuqoo446OhZ1IKKjjjrqqKOOOjoWdSCio4466qijjjo6FnUgoqOOOuqoo446OhZ1\n",
       "IKKjjjrqqKOOOjoWdSCio4466qijjjo6FnUgoqOOOuqoo446OhZ1IKKjjjrqqKOOOjoWdSCio446\n",
       "6qijjjo6FnUgoqOOOuqoo446OhZ1IKKjjjrqqKOOOjoWTT2ISCm9PaX0rOr316WUfvQM8vyYlNI7\n",
       "TzufI5TjjSmlL7jT5bjT9GjmgaOQ8klK6fNSSm+602U6DZp2PkgpvTil9JO3I61HO007L1Tp/YeU\n",
       "0rfcrvROi6YeRACozzIviuLbiqJ4wbgXzrpzUkqHKaWNlNJ6Sum9KaVXpZRWb0PSBaT+j2KaNh74\n",
       "q5TSd6WUzmr8PVr4ZBr44Dkppd9LKV2vZMGvppSeWt1+NPTRWdE08EJKKb0opfSHlWx4Z0rpNSml\n",
       "Z1SPTMW4nSgQkVKavdNlOEX6oKIoVgC8D4A1AC++s8WZTHqU8MDHAvhsAGMF26OV7kY+SCm9L4Af\n",
       "B/DlRVGsAvgbAF4K4ICP3Ma8Zm5XWnea7kZeqOh7AbwIwJei1AnvD+BnAXzinSzUrdKpg4jKrfQ1\n",
       "KaU/TildSSn9WEppobr3MZVV9q9SSg8CeHmFzr4mpfQXKaWHU0o/nVJak/Q+N6X0jure11leDXdg\n",
       "SukjUkq/kVK6mlJ6IKX0z1NKL0ApwP9VZRX+5+rZJ6SUXptSeiildF9K6UslnaUKpV5JKf0xgL93\n",
       "3PYoimIdwM8DeLq10cdG9UgpLaaUXlnV92pK6bdSSpclyaemlN6cUrqRUvrllNLF45bttKjjgSYV\n",
       "RfFnAN4E4G9Xab8gpfS2lNIjKaX/nFJ6fHX9m1JK31f9nkspbaaUvkPKs5NSOl/9//tSz99LKX30\n",
       "cct3WtTxAf4OgPuLongDABRFsVEUxc8URUEXeAFgPqX049V4/qOU0t+VvNkWN6o2/N/k3uellH49\n",
       "pfTdKaWHAfzrlNK5lNJPVPV4e0rp61NKSZ5/c0rpO6u63JdS+vhbqMuJ6NHOCyml9wPwQgDPLYri\n",
       "jUVR7BdFsV0UxauKovgOefRCSum/VH3+myml95E0vrcq//WU0m+nlD5Cyrxl7fPMVHq+Zqr/n59S\n",
       "emtV9l9KKT25us7687OfUnpFa2WKojjVD4C3A/gDAE9EibbeDOBbqnsfA2AfwLcDmAOwCOD/AvAb\n",
       "AJ5QXfshAK+qnn86gHUAHwFgHsB3Ve8/q7r/rwH8ZPX7KQBuAPgsADMALgD44OreKwB8s5SxB+B3\n",
       "AHwDgFmUFsJfAvi46v6/BXAvgPMA7gHwRwAekPdfCuClLW1wCOBvVr/XALwewIvl/v2sg9TjJ6rf\n",
       "/weAn6vaJgF4JoCV6t4bAfwFgPet7r8BwLefdp92PHBiHng6gAcBPB/AswC8F6WCmQfwfQDurZ77\n",
       "hwD+oPr9v1Z9/ZvV/2cB+N3q9xMBPAzg46v//6j6f7H6/wYAn1/9/jwAb+r44Oz5oEprG8B3V/Vd\n",
       "tvsvru5/PMqx/m0A3iL3Px3A46rfnwlgA8BjpV/3AXxJVYdFAD8B4HUABlUb/JnxwR6AL6jy+mIA\n",
       "f93xwpnxwhejBJRtbfQfUI7jD6nK+koAr5b7/6xqux6Ar0ApU+are78K4Avl2e8E8LLq93MAvA3A\n",
       "36re/XoAvx7kfw+AvwbwT1rLeQbMcj+AL5L/nwDgL4RZdlnx6tpb0VSoj6+YfQbAN5Jxqnv96n0y\n",
       "y4uFWb4WwGszZXoFGbb6/2EA3mHPfC2AH6t+14xT/X8BgHfeQhscArgO4CqAm1Udn2BtpHXWejwf\n",
       "wK8D+MAg3TcA+Dr5/y8A/OJp92nHAyfigSsowcA3oxTeLwfwb+W5QVXXJwNYQqlULgD46qo876ye\n",
       "+SYA31O989WoQKek80sAnid8MgkgouODMv2fBvBQ1bevADCQMr9enn06gK2WtH4XwKdIv75D7s1U\n",
       "7fE0ufZFAN4gz7/N2u8QwGM6Xjh9XkCpuN8y5plXAPgRa6M/aXn+Cio9gRIc/mr1OwF4AMBHVP9/\n",
       "EZU8qP73AGwCeJJcW0IJoP7luLqc1VyTRqw+gBJNkt5bFMWe/H8qgNellA7l2k0Aj0XJOH/Fi0VR\n",
       "bKWUHsnk+SQA9x2xfE8B8ISU0lW5NgPg16rfTwjqcKv0zKIo7kvl/N4LAbwppfQBVndSIb9/EmVd\n",
       "fiqVrutXAvj6oihuVvffLc9uA1g+RtnOgjoeqHhAL6Ry6uK3+b8ois2qPk8siuKBlNJvA/hoAB8F\n",
       "4FtReiw+vPr/fVL2z0gpfbIkPQvgvx2jjKdNj2o+KIriv6O0gpFS+hCUgOLrAdAF/x55fAvAYkqp\n",
       "VxTFYUrpeQC+HGW7AOVY1+lLLdcllBb7O6ysT5T/teyo2o9pPnQrdToBPZp54RGU5R5Hyg8N+Z5S\n",
       "+ioAn1+VowBwDmW/A8DPAPj+lNLjUHocDouieHN17ykAvjel9F2W1xMxrM/LUQKW7xxXwLMCEU+2\n",
       "3++S/4U9+wCA5xdF8RZPpJof+wD530dzEHk6H5q5F+V5f1EU7595/sGq3H9S/X9y5rmxVBTFzZTS\n",
       "ywF8D4BnAPgfKFHgQB57vD6P0mr95pTSUwD8Akq35I8dtwx3iDoeiOldGCoFpJQGKOvz19Wle1EG\n",
       "Yj4TwP9f/f94lPWiMHsApaX1RbepTKdJHR8w46L47ZTS61DFxrRRNfZ/BOU01luKoihSSr+LZjCm\n",
       "1uVhlC79p1pZ/wqTQ49mXvhVAD+QUvq7RVH8zi28BwBIKX0kgH+J0tvyx9W1K6j4oSiKqyml16ME\n",
       "rE8H8Gp5/QGUHpdXI6CU0tegnCL/yKOU5SxWZyQAL0wpPTGldAEl6v6plud/CMC3SaDH5ZTSp1T3\n",
       "/l8Az04pfXhKaR6lcs3V4VUA/lFK6TNSSrMppYsppQ+u7r0H5SoJ0m8BWK+CSpZSSjMppWdUlgIA\n",
       "vAbA16aUzqeU7kEZTXurxICmGZRTFFsYIuLfA/DcqpwfAuB/R8XQqQwy+sDqvXWUguHA051w6ngg\n",
       "T68G8PyU0genMrDs21DGPdCquRfA8wD8cVEU+yjjYL4QwH1FUdDaeiWAT04pfVxV7sWKb56IyaJH\n",
       "NR9UZf3CVAVGp5SeBuCTAfzmEV4foJQJDwPopZSej9IICakoioOqrN+aUlquQMiXo+SVSaBHNS8U\n",
       "RfE2AC8D8OqU0kenlOarcfvclNJXV4+1yfYVlJ6Yh6t3vxGlJ8Lr+s9R6pNXyfUfAvB1KaWnA0BK\n",
       "aTWl9BnV70+o6vFpRVHsHqUuZwEiCpQVeD3KOaS3Afg3dl/pe1EGEr4+pXQDwFtQIceiKN6KMnDo\n",
       "VShR6xU03UkF06uE8CcC+EqUrqPfBfBB1XMvB/D0VEbn/kxRFIcAno3SVXwfykC3H8GwU74JpVvw\n",
       "fpRzzT+h5U4p/WBK6QfHtMPvp5TWqzJ/LoBPLYriWnXv/wbwN1HGTLwYwH+U9x4H4D+hnE9/K0ol\n",
       "ohvSFPbb23MSqOOBTL8URfGrKPv/tVV9/gaA58ojb0EZWEavw5+gdGv+mqTxVyiDpb4OpSv6garO\n",
       "kRC6kzzyaOeDawA+BcAfVrLgF1G6nRmNH/UN6/BWlAGDb0E5DfEMlMGII/UV+lKUXs77UK4G+o8o\n",
       "59lb8zojerTzAoqieBGAH0AZgHkVZazUc6p6NsodtMsvVZ8/Rxmkuo3R6ZSfQ+lReLAoij+UfH8W\n",
       "wL9DOUV+HcAfAvgn1e3PRDkl8idpuELjZbk6AECqgihOjVJK9wP4gqIoJnF+tqMzoI4HOgI6Puho\n",
       "SB0v3D00UZtNddRRRx111FFH00MdiOioo4466qijjo5Fpz6d0VFHHXXUUUcd3Z3UeSI66qijjjrq\n",
       "qKNjUQcipoDSlBwJ29GdI+WRNEXHlHd0ckop/ZtUnovwriM8+8ZUHQsf3HtqKk+b7fTCGVKa8iPg\n",
       "7yizJDnz/W6gqj5b1bKYK6k8OOWe25D0pC7dPBHd5f3/7pTSK1K5edRZ0MTzyKOgv38ypeRr9U+7\n",
       "DE9GeW7C04qieMK459HxyR2hlNJnp/KQrPWU0rtSSr+QUvrw6vZE98c4utOIs0DLhhpp+o6ALQA8\n",
       "uyiPe348ys1Lvv/OFmmi6W7u//8F5cE533CG+U/6xmN3c39/MIAPxNn2N1DukviIbDx2N9BdxScp\n",
       "pa8A8BKU+2A8BuXW2y9FudEYMPnjtpXuGIio3DdPBvDzFTr7KnGnfX5K6R0A/r9qN6932rtvT9XR\n",
       "2amk7BGxd4qq3b5ei+aR3w1XYiqP431T9TullF6SUnpPKo92/QPuKFZR9kjYaaRHQf+/C+VmMM8A\n",
       "gJTSp6Ty2OOrKaU3pHK3QqSUnp9S4uYySOWR4K+R/+9MKX1Q9ftpKaVfSeWR4X+aql3mpoEeBf39\n",
       "HpQbJ/F495EpJbWwU+nC/k+V9+JGNd7fL6X0tZUMeEdK6R/Lu5+XUvrL6tn7Ksv2Y6s8n1C16Y9V\n",
       "zx7pWPhU7sD471M5FfKXAD7pVBrnFuhu45OU0irKTaleWBTFzxblcd8HRVH816IovqZ6rMAxjoBP\n",
       "KS2klK6llP62PHs5ld6xS9X/Z1c8cDWVR8V/YHX9s1LzyO/dlNIbjlPHOwYiiqL4XJQ7bD27KIqV\n",
       "oij+vdz+KABPw/BI3JHXMXQBvQjlLnAfhdL6v4oS5QEAUkq/n1J67kgKp0fc3rqPct9y3eu9zZX4\n",
       "cSj3Kn+/oihWAXwGyp3XmOZzUe5muYZyZ7Nvvd0FP0t6FPT/k1Ceuvc/Ukrvj3I3vReh3A3uF1AK\n",
       "yVmU21p/ZPUOjzn++9X/90F5wuMfpHJa5FdQblt8GSU/vCyl9AGYAnoU9Pc9KMv/31ue9bH/bJS7\n",
       "HK6h3DnxV6rrTwDwLQB+uEp7gHLHxo8viuIcgH8A4Peq3U4/AcC7qjb9/FRudf5fUB5pvQbgqwC8\n",
       "NqUUnSXxApTA4e+g9Jp9elDGM6W7kE/+AcodZ1/X8kxCWdZXA1hFudPkD8j9v0B5Auc5lIDklSml\n",
       "x4qh+k/l2c8E8MaiKB5OKT0T5S6cL0B5EvAPA/i5lNJ8URQ/XbXvCkp++0s0t8Y+Oo075vM0Pxg9\n",
       "AvupKI+jfapc+xjY8ar6HvJHxPbuQH3ejvJ8i6tVGf4KwDPk/hvQPIL181Ady4zyYJ0/Q3n8bM/S\n",
       "vaUjYaflc5f3/9tRCoJFlNta/5Q8lyre+Kjq/wMoD9h6LsqB/psoT957PoCfrZ75LAC/Zvn9MIBv\n",
       "FB75llybTcLnLu7vG1U9XsdyHKEeLwbwy3Lvk6u0uOx+pUrzHMpzM64C+DQAS5ZmIx/c2rHw/w3N\n",
       "47j/cZXnmbfl3conAP4Zym2n2555MY5/BPzHojpCvfr/6wA+p/r9gyjBpL77p6jkTvW/hxJ0vvS4\n",
       "dbzTMRE5upXI8qeiPCL2aiqPbH0rhkfEnjUVAJ5TlBbAAsq96+9NKT1m7Ivl9q/cR/09KaUfTimt\n",
       "yCPZI2HvQpr6/i+K4qlFUfyfRVHsoBRg9b72RTl634nhscz3ohSKH1n9vhfD47/vrZ55CoAPYz2r\n",
       "un427kw9bzdNe3+fQ9l/z0Jp0R+V9MjtbQAPV7zB/wCwXBTFJkoQ+cUA3pXKac2/lUnzKSiPhVc+\n",
       "+XCUZ/A4PR4nP97+LGka+eQRAJfS+BUv4RHwAJBSel5K6XelLs/A8JTSNwLop5Q+NKX0VJSxOfR6\n",
       "PAXAVxov3IPmEeTfihKkvui4FbzTICLnOtPrmwD6/JPK0ywvy/0HULr51uTTL4riwdtf3KNTUdLr\n",
       "UJ64+RHVZT/y+3H2zvcXRfEhKJHo+6M86vVupru2/43ehXJAAyjna1EGV+lx3/8QJYh4I4ag4qMx\n",
       "BBEPALjX6rlSFMWXSD6THuV91/Z3URS/hjKI+t9Vl8bV41bTf31RFB+HUmb8KYAfzTzKY+GdT74j\n",
       "eJZHWZNu1/H2J6W7iU/eAmAXwKe2PJMdt2l4BPyXALhQGah/hOGR3zyt9Z9Wn5+vQCdQtsG3Whss\n",
       "F0Xx01Xaz0UJTj+9SudYdKdBxHtQnl7ZRn+OEpV9YkppDmX084Lcbzsi9k4Q50hTSuk5KOc7ed78\n",
       "7wH4tFQeK/u+AL4AwyO/PySl9GFVHbcA7GB45PdUR++20N3Y/xG9BsAnpZSeVdXhK1H2729U9wki\n",
       "FosyIPPNKOd9L6B0XQKly/H9U0qfk1Kaqz5/L1UBmih5ZNL55G7v7+8B8KEppQ/D+HocmVJKj0kp\n",
       "PaeKjdhHqUBzQv9WjoV/DYAXpfI47jUAXxM8cyforuGToiiuA/hGAC+t+rBfjd1PSCkRcLaN26Mc\n",
       "Af8qlFOhn41mXMOPAvjiykuRUkqDlNInpfJo+GeiBL2fWpxwZc+dBhHfDuAbKlfLV1TXGqis6oQX\n",
       "Avh/UM4jb6Dp1soeEQsAqYx01cCT06afT+Uxv9dRBkc9rygKgoiXoJyXew/KOexXynvnUCLOKyjn\n",
       "Wh8G8J3VvSggc9KtzqPQ3dj/I1QUxZ8D+ByUg/a9KIPZPrkoipvV/behnA9/U/X/BspAp1+ne7so\n",
       "ig2UwbfPRenBeBBl+80zG4weCz9pdFf3d1EUDwP4cQBffYR6HGVM838PwJej7PdHUHqs/kX0XnFr\n",
       "x8L/KIBfBvD7AH4bZZDeJPDNXcUnRVF8N8q9PL4Bwz55IYbTDlleKMYfAY+iKH4LZf0fj/J4eV7/\n",
       "HZRBlT+AUq+8DcDzqtvPAXAewJvTcIXGfz1O/bqzMzrqqKOOOuqoo2PRnfZEdNRRRx111FFHU0od\n",
       "iOioo4466qijjo5FHYjoqKOOOuqoo46ORae6B3lKqQu4uENUFMVERup3PHFnaFL5Aeh44k7RpPJE\n",
       "xw93ho7LD6d+kMmrXvUqHBwc4PDwEAsLCxgMBlheXsZgMMBgMMDc3BwAIKWEmzdv4uDgADdv3sTu\n",
       "7i729vZweHiou20hpVT/LooCKSX0ek2HSq/Xw8zMDADg8PCwToPvFEXRuMbrTF+//RrfOzw8rOul\n",
       "v3nv5s2b2N/fx97eXl2nw8PDOk1eY50PDg7gQa5aJm8ffm7cuIHr1683Pm9729tO0mWnTvfeey92\n",
       "d3exu7tbtwn7MaWEmZmZ+tPr9err/uF7/PBZvc7f2rb+LsmfYXpahiht/Xay3eIa+eh13wUu9yzb\n",
       "y8s6OzuLmZkZzM7O1r9JT3rSk/KdMSH0kpe8ZGSsA6h5wHmCv+fm5jA7O4u5uTnMzc01eIbPKf9E\n",
       "v/Wb6TrvsEx8Vse6frSPSM6fTO/g4AB7e3u1jNCPtoV+PF8+y/d0PJAPKDP29/fr7y/7si87u849\n",
       "Bl26dKkhD2ZnZzE/P4/l5WWsrKxgbW0Nly9fxqVLl3D+/Hmsra2h3+9jfn4ec3NzjXbQtjs8PMT+\n",
       "/j62trawubmJnZ2dWg5RJ83Ozjb6iu1Lmet9nVucoH2kMj43xoFRmaTXe71ePb75mZubq+tM3t3d\n",
       "3cX169dx7do1vOMd78D999+P97znPdje3sb29jYWFhbQ7/exurqKe+65B/fccw9e9rKXHbuvTh1E\n",
       "zM3Nodfr4eDgYKQByOQ6CJXZb968OTKAHTAouVB2hRMp6YgBImUUgRhXYF7OHEN4WbyMyvQRSOI7\n",
       "FHpzc3NYWFjAwsICFhcXs+0zKeSCMtdGTmwXFxDefhHQaGtv/SapsGdftPEe0/XyHuVeBCBygimq\n",
       "iyvMceNkEklBv5OPoxwIiN6JgGf0nAMVfUcVeg7ERuSyiM9r3sxXx3skCyJZFQFQTVufc6Az6aR8\n",
       "rSCRn/n5eczPz2NhYaFWogoivf5u3PFDw4ygjkDMQZvKrKO0pfa36gYlXosM5ehZBTTOh4eHhzV4\n",
       "6vV6mJ+fR7/fx9LSEhYWFjA3N4e9vb26bgcHB9jf38fOzg42NzdH8rsVOnUQQWGmKMotvMja0g8p\n",
       "Ugqu5COKBHhkDToo8PciAadpRvk6oIg8Hnwu8pgoMFGmVqFGQcRBNenU1o5OOeHpQpnt4+DNhUmk\n",
       "WFxxU3EosX8UuPBZv5arx62ApaNQVJeIb6eB2L5A7AVUOgow8G8F495ebd6unBJgeZXvANTXlH/G\n",
       "yQb9kMdyddY2isBGxPf+zK2MvztF3i4EdzQ81etGnZIzDqj81eurBhpBXEoJBwcHdf4KJtxLFHnN\n",
       "3KAhReNS+yMn+7UeSvouPSQ0xjXP+fl5LC4uYjAYoN/v1x4YfW93dxdbW1sn6qszARFsPAcQRI0+\n",
       "4BRxubKMBL5+R7/JDNEUhqavaao7OLIIfFBGFkNOEDkw0HyUcfV5B1baPizv7OzsVIAIUiToXDAC\n",
       "yApWTUPbLgci+F/7w/NjGs6XmlaUfi4/L+NRyXnIrzsoGadQJ50cSLeBBD5/q+lH4CCarorAZiTU\n",
       "FUgoKd9G5fXfDmC0vF4eT/cobeOyalpAhPdTNLWlU08uM1SPUGnyO6Vyuod5UcZQpjqI8OlrBxGR\n",
       "zCcpbztFBpLrFe13nU7T/7xWFEWtu6gPGEKws7PTALv7+/vY3d3F9vY2TkKnDiLUAvD5yRyajpSz\n",
       "diif1zza8tffEcNFgCTykOQAg6flgsbn1yIhlUPR+q15e9v0er3azTcNFPVFW/0jRarpcOBHICI3\n",
       "oHO8wAGpfcZ3/bsNxLoSUBoHKKJ3cs9EPDTL8rpTAAAgAElEQVRt5J6IqE4RIMxR1Fcue3IeiCgd\n",
       "n97S+woiyDukSE5FZYqAhL6n+RyFN6L8VXZMOh0F9EXgzw0uBxD8AMMpNFXA6qXQdD0WJSf7taze\n",
       "35HR6KR5qZGoQEJBRMQHDCGYnZ2tPRHLy8tYX1+vvS5FUUyXJyIHEBiksre315ifyrmLyBQ6aHMW\n",
       "W0QKDohgtSNUIZHRbgU8eLmd8b0uEdNrmu5+1bbUeqhrj4Gq00BsawcIrrj5nJICywg0RALbv3NA\n",
       "RtvXwaHmqXkrH3pZ2/gyAqpHARg5YKXtN02Awus0TrmTvD8j5RK9E/FMpKByHkkX4moher+40tZ6\n",
       "5oCEAgZ/flw7RlMeXr9JJ61HBAQ8YFHBgcvUCDT59Ebk9fa2PkoMl8uUCFQ6KInGvBtSTFsNSs0v\n",
       "pVQH6hZFgdnZWaRUeqgXFxfR7/exuLiI+fl53Lx5s06bQOIkdOoggtHBLpDVrcRVDDnwQNJGjyyA\n",
       "nFDVZ/gdARH9T4bUfHMdHwEBkoMIV3q85uDJ6xQh8mkFEdpPrnQjkJYbtOPaSfNSYa8uaOcTBQja\n",
       "xxoP4el6f95qG2i9I4GXA1G5a1H9Jp18nEbWXAQ2eU+faQMenrZ/Ite5ko5Rfc9Bpj4fxVREZdL8\n",
       "HYzcCn9FgJR1cSNsUknHnQMGnVpQgKFWdiSLNW2+q1MckfGXG9vR+I34zcdppCvcANDfOeMkKivB\n",
       "AYl9vrS0hMFgUAdZAqh18lSAiNzgZycCyEa9RkpC082RK/ecsHG0P47aBLejy1x5/J1owEfCI9cO\n",
       "wBCozM7OToWr0r06JFfgrriB2KWtAsdjHfQ5BRAOUHJKgO/mQMk4SzlHORAR8UDuGb+mAMJdspNO\n",
       "Ud1IETDwuuUAQe69o3wcxChwiBRxVIeU2l3P+lxU57ZntSwud1wm+fOTTu4hJgDSpZa+ysJBRE7u\n",
       "+m/mEcl2vR/FvqhHIKevcrFv0RRZVA59R3+7nCuKol65QVBRFEU91c2Proyj9+IkdGYgwitLdxI7\n",
       "hoIvQpAuENz9xzQ1fUV82rCuBHQu1hnX66G/I8SbQ8CKnCMF2qYkc6QDhczE5Z6TTjmPk/OIfvt9\n",
       "tQA9bb3Ob/XcRIAh6hN9LqfAjgMiIqvC66rUBhx8jjTnaZl0chDkIM8tdVKu7Y8CJHJTJuOApSqU\n",
       "iGdVmbfJkZxRMe55r4O227h0p2U6Q5cxeoxDBCL29/cbYzsCENF0sSrvCHBFoNJlg09zRO9qGVTX\n",
       "ablY5xxF/Z97jgCC3ymleq8N35/IPRi3SqcOIpxyytcbOurMCEjwnVweOm3i86VuZURIkkxCcgQY\n",
       "Ma2DiDZPS4SGnTlyiNrbSSOVJ5kcUEUgU3/rM21z3VE76T3td0f+EXD13zmFEykgz1/vRfyq3zll\n",
       "FoEcAA2+AprR5tPAD0AMjHQ85D5Au1ciF7iYux61lysIUmSZ+jN63X+P+6/1z8lD3s/F8EReXZ+i\n",
       "mURSHnCFyz0OOA2e21cIiAGVkvJBpI/4rVNcrvw1fe8fBR6slxq1Wif+Zr4OQCLejHhXQYmCCG4D\n",
       "sLu725B7Ew8iXGG6pa5oUNGnzkdGg9uZwa9FiscVSFSmKJ8cAypFAi2qd9taY1dA0Ufz8OCvcWWc\n",
       "FNK2ANrnsrWv2vpG0/FngGaArw/UXBsr5YBEG7jJDXotV1seEZhSYaXfKohySm+SKce7uXaOQICn\n",
       "x2/1GtzKFEcuPb6Tq0cuvbax2VZ//e3gMFKakStf703LlKeDI5ehblG7F8vlLzBsL98VFBgF7/zt\n",
       "gEC9feq99nwomyMQoXlHS0eB5qaFTjlejXhDdZsGAHMm4KSeqTMBEYrcVNiNG8xeuQidjaOosZ25\n",
       "HLE7+td3mOa4PL18Kui5KsUVmlLOknAGizYZmXRSQQDkXdXAqNDW/8pTES9F/edtlRMAkQUQ8aoG\n",
       "wuUUmpIr/3HkgDd3X8uuru1poTYAHAGInEcxRznFHimJCMTm0szVJQdKxhk/0f9ISXgZc0DCAYN7\n",
       "3CaVFBAAsXdZQYQqYfcW8D4pAlNsz5zOaQMQOpY17Sg+SwNC9dnIqMwFd3qaER+qXNB3FNSwHacG\n",
       "RPjcbVtjjAMQR1WUDkaigafM5BbtOOtUKWdFRMJR/3uZjlI3F3y+1/+kk7vfvU91bjfXPjnl6iCj\n",
       "jSLhHgE2zz9SCNE8/lGoTakcBSw7ID7OOJkEipTbUZR9mwA9SnqeRgTmc5Rr3zalf9TxHX1H/NgG\n",
       "HiKvQxtYmyTKyVzldwcJ7oEZd8/Hsxoxrov8OQfquTa9FXngfOPeD61/xE9a/pw8cM8GwcRJ6NRB\n",
       "hCKuCETkULcDiZzQiBpTB10ESEiRW93zc1cQKUKeOZQfdaQPBE9XOzzyRiiTeTtNOunABuJpiNy1\n",
       "tsHqFv448Bfl0WYF6n3m5daMD96onFE+DizHWadA3qq8VaU1CZQzLIA4xiGqYwQAc0AhByRcKXtf\n",
       "RO3p6bd5VDz4MVcWD/rTdyLDJrJq3QJnXaYBROS8TUA8Jl2n+LVI5yiI0CW9UZyMv+ueCO0vltEN\n",
       "PF7X8znaPBHK3xGwjMrpMohLen2XTy3XSae3znQ6Q0HEOKERfftv/m8TmLr6guQAwOeGcgpMYw98\n",
       "js2vefmU2XyeTwUVf0eBUqo0ciBiGkjnMEne3hEwcl6JgGhOUDg5MLwVZRulrYAi1x+5PCJg0QaY\n",
       "+KxbnhHfTQtv5ATZUYSmU5sSd3kxDiRG/9vkUVu+/N0GdNoAUg6o5BQSZZuDpGkBEQ4cgdg7kwMK\n",
       "2ib+O5LJei6H6wOfgmUZSZTZfL4oikY63tfRNKxOwzBNJe1HLaeD06IYehd0bxAFE1q/qQARJEdL\n",
       "fhrZuPk6H7w5pOZpRILUGYnXVLnkFJSnM25gKirlf/WAMB0tl9clsii87tMiIPQ4XaA5fdRGPuB4\n",
       "za0AFxbAqBtUr/Mdz0ufzQHaW1FkUb6577b3IiHpnrBpAxG58QiMzg3n2tzTi65RcJOUf3IKXClS\n",
       "YvxuU2bRO1quHO+PA5KRy17fifr/VgDzJFFOXrd9cu9HSlXBmBqFwGhAJK/lPAkuV6KyjeMTjwHS\n",
       "8rvHxMujekxPzFZAdrv0xamDiBzqU7SkHRi9C+SFdzToXckyLX4z/yhohe/ommMlRZA5+p/tnely\n",
       "I0mOrUEqJa7as7p7Zt7/0W53T2VWZkqkSGoj74+04/ziEB5UpUpqxphgRuMWqzscODiAe3jE4k5v\n",
       "s9k0ptV4lOHX7fdSa48sB3qIomlHakcHAW2SDSo35BJH9fw/e+e+ak+yPZmzqQGIl4CitmvIxoJ/\n",
       "Jm3NpXu9nbogautsHNTGeyZtzpjGW5Lpno+tmh3yc2bgzscuddb7+yXXnp2HzJ6DSL/+tjY6RPEx\n",
       "6fbaA88agJBoPNCp6t0dvx/P2VOOv+y8XF46Yxj2XaendPhZ1+zH92d/6P7aQMRr9eFdQUSGnNoc\n",
       "vz674fBjZQPcG8c7zvPWrije4ZkRoPix/H54zev1uoCUWv6cwMDv0QeWt/ehizu7l4qDsqwv1Ids\n",
       "P3f8fl6PDCSiFzmv3o+R6eKfARY10OD/t4k7LZ6rC/oQ0V6LUgMSfxZg6DwcdzSkbUHLvut2x545\n",
       "/hp42MfA1q5jXy59H0A6dKmNV//u22RA34/lDlpSC0S8xiQDFtm+/srav3atWU2I61Fb+whs9Hq9\n",
       "lI3oDIiQ1AZ5DY1nVbI8ljcuG94NAxs7G2wR0ch3+fzjzWaz0/j77q0GQrLPGUioKZujTz9fF4RO\n",
       "XuKDp+b0s8Hm/SvnT5q3zdm4E9b22aAnG6HvHi1kwOalxjsDi/vAddYWdGhdkMyY7QMJmc5kuqNt\n",
       "eS6eMwMVL71mP052L9n//D0DArV0aq3dPGDRf273usJOZc7T24N9zzy/Fz226RGDDn2nEEDQH9Rq\n",
       "kXidfDYHdSyzc66/PFY2hv1+CRr4m46hJa8/ffr0l/f/uy573QYk+K79XkpvRjTzRw4g3Nl6Z+o3\n",
       "0U9aDY11Cxli9etx5J8Zf9+Hv730sw+SrgkLfSKaxmAfgKCwPfidBjMr4Kw5ekYMvC4/nwOabDA7\n",
       "gG1zTDXnyXvhMdr0IAMfXZA2J5Hpg4+7jP7ltvpcO6e/fPuaA4/I02bcJmMaaJuy2Uq1NuL/2fUy\n",
       "7cZCPW7ThRUr2/wFt6nVNui/bHseL6uF0ruDPIKCrP6Ex9xsNo3neugY1FEvvMz6JQOZDGrFLvCp\n",
       "nbxXXR+fncGZGX8GNNfkXdIZ/MzIkFG+GkCNkAGIzHFn56sZhX3bOPUkheE5faW0WifQQNTOWbsX\n",
       "RhAZMCJ95ij5tXN+30sy47/PaUhqDkfv+wZF9r/XO/CYbphq1+3X5/dba4caiKBjcjCj/z3V4rn4\n",
       "rkjNqGXgktvXAHftv8wBZ8FGdvzMjmTXXNvWwV0GmFza+pHOqM1pvgTIHpq0jTMfhxE5oNJx9D3T\n",
       "pVq/OHDg0z7b6iAIGgUg2vwEgYXOqf7U9WVpK4IIvQhMeL+9Xi9OTk7i5OQkhsNhDAaDAiZ0Da+R\n",
       "dwERbDw6VokXi9QiOh0vIq9N8EFdQ4uZM8/AhK893u/3GyulZYWMNUCSKZvfi36vgaTsOLpOZ04O\n",
       "Wdocco2JcOOfRW1ZFF4bvL4fjZHqVWiIakDCr9X7uM3JtW2T3QvbwttGL0a2XXIaEU2WkGPjzzBU\n",
       "tW3azue/ZeOyLXKrtfM+oKLf2oIid3R+n3QEtDu/0h6HJFlA0TbuGOlrf75vNpuGk80ACO2+jqkH\n",
       "fRE8+GyYjOlmEJr1+WazaQSourbseFkaRdsLQChVwZQFj3t8fByDwSCGw2GcnJwUEFGzj39G3vUB\n",
       "XOwsDgK9qwF0c9yHnZP9l52nBhRqyuD/Pz09xcPDQ2OgU6mc1nJF9CWuaZzaAIYPHF17RPPBNFTG\n",
       "v+qJbO8hmYFoe3EfSZsx3wciI5pFvRJGcjUQkTEmPPe+e9Znv2Zup3ddO2lJ1wu/FuV3uwgkao4y\n",
       "YyHadKXtmLXzOoDx42bBih+jpgtuG3QPfh5Ph7qOZnaCTIPbxkxH/wqn8R5SCy7IvrBQMKIZYPr4\n",
       "VXDgIIJ2lZ9l5x8eHuLh4aHhL14KIshYZOlwgkjup+viMdxX6PoFHJ6enmIwGJTju+72ej+LKweD\n",
       "QWEiPn36lALpPyvvUhMhcSWWMohmOT4+jpOTk5LL5jM21LEe4fO4fh6Kr1m+2WwajAIHnyL7+/v7\n",
       "WK1Wjc52EOFrPeg8pL/o0IicHYQQVNFAtEUrGfA5dKkZNg6QzHlk+0s4GBzI1SKzmmP347sz8/Nx\n",
       "/+x4bVF0G4BsM/qZkfRj+L0fstBh1sBhRDMC98hyn165c3mpOEDIjuF9UAtk/J5k3LNgJhvz2fEy\n",
       "kEMbSzvZ9ZSnwIN8Bal5r4epgSW1F6N7BmECDvf39wVIOIjgDDOJBzEEphF5XZ33p7b3NLUzTLpX\n",
       "+RnpENMvnJEh3WK7nZycFF/1Gnk3JsIbOGJb5CMQobxNr9crRSnaTvuJts9yTbVz0Pmz8wlMaiBi\n",
       "uVw2HLz+89kbUg6Ch4zt0HY+t3uz2aQ0lBsW3RPbtWsgom0wcRsWCXFb/VZzGvtABM+fRbsOINw4\n",
       "8ZykJP26shy1A4nMwfg2jEyytqTDkAH6s47yPy21Ylvvi4hmLcBL61Nqzv+lktkY73P+n507c2q6\n",
       "XwVOjG4d7GbHyu6X7UU9pOM8dMkAxEtBhAMnHtPtBR01Hy++Wq1SEOGMr9syFwVFDA5rfRmxXVuC\n",
       "YIApFgck8knHx8c7aXiCCImDiKenp7i/v39VX73LszMidpF6TSHERKiRpPREidnz4zMnErFVRjp2\n",
       "daTTRZLMATkQIKPAgU+mgrM8uC+ZFgIYKcJgMKg6FjeqbENOVTp04QDOnANfPlDdOLoBdzqRTpXR\n",
       "6L7fvL31ux+vdl2iJp0m93bIAJTna2uRZnZ9NMBdYSLcKWbjuua428QdbK3feEx/8fr8c9v5MhBQ\n",
       "24f653rSpjOyOxk7QR3QcemQDlmox0p1K9icTCYxmUxiNBrFaDRqpMEJJL29CaDopOlPGDze398X\n",
       "VoLOnP7Fgx0POugnvI8y9sn9iAJfnV+i47MOQkE4Z2KwRkLnUlpjPB7H8/Pz4YMIrd3uRoLKIQUR\n",
       "kPCBq4ZUB6tTHUR4BCoUqAZUI6oDuJ+uTeet0VVy3JvNpnQsWQd1vK7z/v6+ARbkGB2kbDabBngg\n",
       "4OC1SdSOYnLIoHRBHHxxgKiNOH0pq0WopTv8uJmDcsCQRX5s/0xqAELgQdfC/yUOeKhr2dr93C8D\n",
       "mFnE1RVAGVF3zASENQedSe33GhCp9T3blvaiBgprQCRzbNr/V5mBDEBQZ6VDBOp/BX39HsK+kZ8Y\n",
       "DocxHo9jOp02gEQWcGRjRjZyvV7vpCsIJFarVSyXywIkaMOz9DPPS7vFB12JaWN/U7fdf7Eeg2CC\n",
       "Pow1EfKh9KV8aQqo9ENg7OHhIY6Pj1/VV28OIh4fH8vNSjziZEPohvRQLDlr1SeoY1lvwA7QINF/\n",
       "RIre8VSutvy7xA1QhhqZT9M1Mw/JHJXXddCR8lrbDCXv7fHxsRNzwCO2bE8224W6UYsyiPjbDIez\n",
       "R+7k2xxKjU5tYwEysONCp+Q6EBE7q8uRxXNmos2ZZdd46NLWh/q/7Z72AY2XtEvWf22siO8ne6L9\n",
       "9ukAAxr+7tt6u9SYCA/U6Oiy4x2ikKk+OTmJ0WgU0+k0Tk9Py2s8Hpegk2OPQgfNQE+2WfZaKQsH\n",
       "EUprsLaN18g2plNXYBfRZMM9eM2CX6/LIBsiIFHznc7qDwaDeHx8LEBCdkWAbLlcxsnJyav66l2Y\n",
       "CBV90DDX8plq4IeHh1gsFrFYLOLu7i4Wi0XM5/OYz+eNDvdB5JQd0SAVTed3WsrzajTybWkLgQbv\n",
       "eObTFPGqKtaVibkz/U5n4qyJfhPDIYU6dCHQI9p28KdBqTZglKXPZCuySIQG3/VPx3HJgEo2NYzH\n",
       "z9gBF9/OHYlevjAMo4hM9jmpLoizMRHthXEOHve9uH3GLjkwqEWyNQDBffTOVIIfz99roCDTqxow\n",
       "ytqIdoHHP3SRAxwMBjGdTuP8/DzOz8/j4uIizs/PYzqdllRG1n5ew/D8/FzsjNc8MNXNgJCBDVmM\n",
       "iOaYJZCgP9F2ETkT6WlXBlT7ijsz0KjjemCt/TR7o9f7uW7EeDyOu7u7wwcRj4+PpaMjttFzFuHJ\n",
       "earDF4tFzGazmM/nMZvNCqDIQETE7qAk6+ArfPlgdBqKdRQsdiHd5Hm01WpVlJMpFyqfAISEnc1I\n",
       "Ro6WeS03HIxQBTi6AiJI2anN1G40clxIhZGG7p85QKFtgglnDdTPbtwz56D/XYcI3pyS9Jek5hR4\n",
       "LxoHMqDPz89lgGdAex/L0BUAEbHbPm3Mi4MDH8v+nwcqXm/i1yBpM841xonvAsOZ087Om1HbGXDJ\n",
       "gISfm/dNm9OV4mvVP4xGozg7O4vr6+u4urqKs7OzODs7i+FwWGyDF7ArWPMUM+2z7LUzFdnsO45x\n",
       "bh/RtCsCEWQsM72NaNr9zJ8wCGU6g5MJPPiQ7/RZJFw0Ubo/GAxivV6XWZGvkXdd9prfJWxE5fMf\n",
       "Hh7i5uYmbm5uYj6fFyZitVrtIETt7+hM52LHk31gjtVRuxTi4eGhHEPnJPtAZEvgoGP7XNxer9dY\n",
       "B8PvgXl0PgGOhssNoCPhLqQzas43olmXstlsV33z/WWgs/wfo3cdk4Dg6elph9ngsV2y+eVZ+szz\n",
       "ptl9+8AneJBR1HY8njNqEfsrw7sk+wBPjWHIAoe27TOmIQMlbdeUgZLadXn/tAGltm3a7ofX6zbN\n",
       "gbB07NBFDMTp6WlcXV3F1dVVXF9fx2g0ivF4XO7BbYl+I6PgNlp2OqLJGsmmKI3K720rVvI4On+N\n",
       "XeI2WRqDLAiDT9kp2XcWVOpFX6DrcaZDKe+jo6PC9IxGo1f11ZtrUxYpSNSQQoksbLm5uYnb29tG\n",
       "gYvQmMRRnVf7M2rTdxp+OpIMRKjjdE0+7YfOg3UPvV6vOLOscleFlb4/28URpxxJxkh4tHzoQjSv\n",
       "vmHdjJw0kTVfBFViITQgxEx4MWaWv9xXT6EXmQ3towFOQMlpxJJM73lurjhHMOzRD3WT4Of/Ehvh\n",
       "UnOg/H/f/Wftz/+4TWar3H7Q2WQsx77z1xip7Lv/VgMs2T05a0fb0wW2cjQaxenpaVxeXsb19XVc\n",
       "X1/H5eVlg21tYwo8pay6Bo5PMjQZuCfLQefOQJYBjbOFOq6kxj55KsMXMmRfsg8z5jUidvQyormA\n",
       "loJZFqu+Rt4FRGQDTQ2o/E9ENIonlcaQ02auXE5T0b1Hbhz0WcT+/PxcjDEdCh0x0yuPj48lteLp\n",
       "Cs7i0PHUsXJq7rh6vd4O6swiWSm701dtBqILUYYbUtYoCECwL30gEywKMOg/pje8liH77P3iwI1p\n",
       "D7Y9owfRo7y+iNw5RTRnn7AAS/uwjXQNSsG4frrzqjmpQ5caQ7BPPJqv0cfaJnO6bWCgxij4Piy4\n",
       "rbU9gbMzJ9l/tXty8OvMSQY0aCO6EGgIRIiFUC1ERHN6OF+0G0yTCkTo/4jmNGodk6L2ciZQ7LRs\n",
       "gDv6THdq49GDXw8qmTJh33E6J1O9mR3J/C0DLE31fI28ucdhTt+ds4DB09NTLJfLBnJUx+mBIRmi\n",
       "k4NnTcJyudwx5h5JaMALbfL6SAOxY/0cdBocvIqIpYBCfVwURUDGnaPfP3OpjFAzBZFB6gKI0L0I\n",
       "dOnd0bnAnoMwFmDqeFqe3BdZ8VcGGLm9jsm+z2hLMlpZzrJmvJ194PjIWDBnpBSFkVXjdXVVCIj2\n",
       "BR4cBzVQUDPoGSj0qI37ZMY/a+vM8TPVxTFOsJDdg9PlNX3y6Jv3706ta+BSxZSXl5dxdnYW4/F4\n",
       "h63zgsisiNIDPQYr8kOeVs5YgRpLEPGywmYHxzUmgikTXif7kulupcGddfX3rOhc/mo6nb6qr94N\n",
       "RJBiJl1NI+3O359MxkZQ58jpLpfLmM/n0ev1YrFYNFan9MGXMQc+C4JoV2wJp/5wMRIZJoEDXbvO\n",
       "I9qIxUARW0ckhddslIhoFHRS4dyoUFmZEjhkoePzlE9ENAxE5vwVDah/mVrIwIE7Z7I2ivD9/GTJ\n",
       "PD9JB67taPSla7xHf0hOBiDIyLCtPP8asWVsCCpduuQ0XgIgfBwopVUDEhKOERpkTzV6RJ+Bx+z/\n",
       "2rW5g6itG+OOIqsXytJYOr7fbxuQ6opOnJ6eNkCEZmJExM7Yyxy9z/rSOHG90ph2RoAFjc4S12qe\n",
       "JLV2zvqDwIfXz+0JCLSf7smBgqe1M5aNQSjXZfpVeRcQUauYzwZeRDMFIgPMKEFGVVSyAMRsNmvU\n",
       "UdCpyLnrc23Q8zdHpBlC9egzYosUV6tVzOfzsrIanw9C5oMGUVSV7puKSBDmgIrG5dCFq3hG7Bo9\n",
       "Gk7lJQmOPAdKsCXnwIi/xkyQiszSYAQSAhPUG9edzPlRh7kQTAYgnJZ04ChD51OECV4kXXEWkiwi\n",
       "p8jg6jMdK/tc/errbPAcMqxyLEyL8viuD/qPwI3OydNvz8/PjVlbetH+EPB6qsH711NubLusPXmM\n",
       "lzi/QxIuKKXgK2K3IJGfM8aALAT39/HtxZc+w87BesYOMQCNyFPNOgZr9zI2gvtTeHwPkGnrZGME\n",
       "EjzdoeNL714jbw4inEqO2KI/j6x0U/pOFiIiGihRg/P29ra8VIwppdhsNqUxlR45OTnZQX8EKIwE\n",
       "WK9Qo7E8h79er+P+/j5ms1k5JmcOKD2j6UtKc6gauNfrlTx55iQcWbpCOSV7iKLUA69Z90Ij6e0s\n",
       "Fol9JkNAUKLjOYBwUOHGn4aakZ6YLrFOXrsiYZqCaRoWQrH4M3twEA2RD/q2CNi34z11SdxIuhNU\n",
       "iosRuEdivsYGo3jpDY/Lc2fXwn5x8BgRDX0RiFAUy3VuFNxQb2j0+YhmBhgRu2kY/VbTgwwQu/06\n",
       "ZNFqlAqoIqJht7OCSjpjAogsaNU2DvAI+nyNH+kYdalWRxexy3QfHx83WACCQr83Shto0rF6ve36\n",
       "MlqcazgcNnTUgY787Wt9xpuDCE8VZMZNjZkZVAmj++VyWQbn9+/f4/v37/Hjx4/48eNH3NzcNCJD\n",
       "pRFU6OhFOP1+f2epaBoCL3RxEEFmQ7lPHVuGRPfEtMbp6WlMp9OYTqcxHo9jMpk0DB873KlNp7d0\n",
       "zWrfQxe2t0dW+4ye086O4EnxOWhgSkHPaFH/Ze1GPZBhYWTCQdzvb6eb6twOgmh0svUvnGrMHEem\n",
       "D+482gBGF8Svn5RzxDaKo/6TfdLaNLVaEwdqtTYisOS2tB/clwZekexsNovZbNYAEgS7nF2kAEOO\n",
       "oMbMSF9eMtZ9LHUJROihjKz/yAAE+yWzBxIyl2IXlUJmmporVar9yCZyDPsaSFngQxZS28h3OHvt\n",
       "Nk9+pfYiSODzRchoeIo3C3xeI+8CItrylhnCk0IoVaFOZocLMfI/UYWMAEl58hqkkDTajChcYbUN\n",
       "o1yPHCX6LtbDz//w8BDz+byAIrESAhh6DQaD0sF0rmxDN25dSGe48c6iTRmDbAYLC1A5bUt9RYrb\n",
       "axCUDiANrZQJQRqvkTUx2UPVpBOkRFer1c4zYdSnfDFargHomqMiI+Xtynvpgni+liDNqWS2j489\n",
       "H6NkJhxY8CWGw4E52Sk65Cwiln4SdMpmqRaCDJmuzdkxZ9t4PbpHtYt+07ae5qyNq0MXjY2szR1A\n",
       "ECSRiSDQ22x2i/B99obPrFKbyodx0T+2s7NgXG1TL9l0iZ5Z4WOfNp59y9lmAsoMGglK1ut1qRvz\n",
       "oJRBk+vOr8p/HERkzl6KsFwu4/v37/H169f49u1bqXvgzAhHl09PTwUtki6uRXNOCWWRsDe4kLEP\n",
       "Vhlt/13HlwPU9a9WqxIVDwaDmEwmZV14sShe8JlRmAIQXYk8a9GDz8NmRTuXp82mxDrgi4iGceYq\n",
       "kAIRMuhMh7gToW75dDFPnzi1SQfmqXttw1IAACAASURBVCy9WCPjaZeaQyC96pGFR+9dEY4bUrwE\n",
       "x04Fcxxnkan6xCN9f7aAIk2O6YjdGR3u0AgafAl8Bjtao4CMFad/s68ZRFEfHXBnbUdbJ8mo/i48\n",
       "pE9tQxuRMcK1+3PGeb1eF+AgtmGxWKSzItS+DGw9NRYRO0BCAYt0jWBCgSL9xP39fYMhc/2XkKln\n",
       "AEE2yhlMpWI8jeszXLjvr8q7rRMh0QV7pTyNgiJ0pSxEL6lh6NDVmDLGnOLH6MPpMY/seayMSnVl\n",
       "imgWeJGd8JeOK3ZltVrtoNiILaXFquKs4CoznF2JOCO2iq4BzweWESCy4IngwftFbcvBQeNDwEAD\n",
       "QCDACNZZK+oCp+lJF51BkL7TuHz69Kk4DhbaysgwIuUccAcWajuPMnWdLq+NMt5LMvBNI+nt67Rx\n",
       "RDT2Ud+7HhE8iPb1BcqyNsuAHHWYixuJQVX6SzaCtLaug+Nf91BjkrL/ModG4OF6Ivty6CIb6wCh\n",
       "DUhkYIOBhxdMRkTDtmYBjesddY3+wP2NsxEa09q31+uVbe7v7+Pk5KRxTgfDPK/skKczHGjSn/os\n",
       "E7eXr+qrV+39AsmMMhkIImdSgXd3dzGbzcoyndPpNIbDYZyfnzeUidSeftf5aJBptLNOIcLLojlG\n",
       "fbp+7S+lYUEM71EGKiKKg6zRpoqS1Q40Emwzz8dSgQ5d+v1+6StFbYrcfFVQn2bFgc08XxaZEGw6\n",
       "6nZmSbpCcEeK2PWUAzJLPzi4UwR6fHxcQAR1ksWWToXqJR3xfndD4M6kC+LX6rSuxoa29ejNHaX3\n",
       "kRzHw8NDMfjsA/WDV9H7tbG9eT4HwxqfjGDlNPx5OB640LjTBrX1KUEFbZvedVwBnkMXOvbNZlsX\n",
       "kDHENUZKOiA7IgDx/Pyczo5yNoOzvigc27IN/gwfn4XlICIiYjgcpk8Rddvu9kfXQH/D41IfxV6I\n",
       "nXFgxdqJX5V3eXaGf5YRULUq0T3XY7i7u2t0OKMQR1E0HupkFVOKNtZgzqI3/80RPyMGUp/c11kS\n",
       "0lsyUDyP9nVHqUGzWq0alCwNJ41GlwBERNNACETc3t428sde88C+JfIXKHQjrIEhwJXR++xX6VjE\n",
       "7vQtOi3qqtJpOlbmWNjfum6t/z8ej3fYCD54aDQaxWQyaTAenjunU9M2HGddAhISvydPT3jNg0//\n",
       "k3GkQ2eAoRwzGT+NHQUKWTtynOn66HQY6arPyC6pX8ku0v7oeNn9ezqHbcXfsj53nV2tVm/VdX+Z\n",
       "CAipb+gEaWtrAILbEUBoTDK1qLGnfWiP28CJRKxCBiIcUHCfh4eHGI1GDbZV9TnaxhlSD4C1nb6r\n",
       "rbjmkLOyBBG0lb8qbw4iyBbIGNMoRzSRnYxsr9eL4XDYUBY35JmyMAqJ2C52lU3BiWjmm2ScMwUl\n",
       "OOB9+PUw8iSNzbnOGTXqAIiFVxFRInAeg4wE9z10Ub8TCGogRkRjGq6DCM/zsWAyoyKzCn0yD17M\n",
       "qmuis2KeU9eh/vcBqL5VbQ7vUdfCCFgGRnpEupl6KSOn33mu7JU5nEOWjJ73cUoApX0YrRPw8Ziq\n",
       "e5EDYTt7dHdyclLGXy3VQKDiqTiuOOs5ee3L9EnGRLhz0P0T1Hr7sL/5H1lNFQZ3Idjgqr3qL7Yj\n",
       "AwMPBuRIGQD2+9vVhGVrPI3F6F5tlDlYgUPqLG2RpyG97k8yGAzi8fGxYVsc1HoqxRkJbUPRNrpG\n",
       "Xa8C8Szd9Rp5FxBBWtjTGIwee73tsxCGw2EaZRF4ULmEHvlar9eNhidzICEtTuOTgQg3cjVUqI6X\n",
       "AhHtMgIhiOB5MipTKFX3pGvQ/TjYOWTxPlTfqn0kpDE9nUEwQCeh9Jc/aEY657lpnxnj03JZmOfT\n",
       "SCO201Wpn71erwF6BPSo2yysJCMn8EtQrfOzf7N0WJsT6opo/DgwoGGmEdR2HOPOVkg3pBdiCnwJ\n",
       "aka4cjC1NBXrLfw5DWSgZP88F/38/LxTE+FjnvdPu5LZKt+e96RIXAvwdSHQcBBRYx8Y3DHokk+h\n",
       "nSZbQPBAFtFtk47lIqDWBiIIIHR97EvZH66uSf3XebPiS4kzUJnNkC3hOhWSTOf+rLzLGsnZjToa\n",
       "0v+Ouvg/URRBBB2IV/PruDSwWb47G8y8Rr379jRqPtilRCyukXI5WMiMGem07PjeJrzWQxa2n5ga\n",
       "DkgOlhqIcF2hQeegY1rJZ2oorSBmgPUyMvICGw4mdSwunEV98L6N2LJiBC6k4wlQyKL4/XgbuVGh\n",
       "3nYFSDgA9sCDRpjAjNvXIjamDRjFyn4IYHh78twOXHz6MW2Nolp3dG4PWB/hjAjBEYGMj38J7ZvG\n",
       "iYq4WUwoPT10EZOgdnCW1fte0ba3jbMUWTDn/UTbIpvvx9NnfZd9Z8DorIT3JYMZ2SQJmZYa+1Dz\n",
       "q6zFIzPJwMvB+GvkXQsrPcKnsOMYTUQ0i+B0HBlqRvV+XhoaDmqnlQgIpDTupPxa2SEZzUT61VMq\n",
       "GZPgoELXpHbSIGFKh9chw9UFECEF17xpRec02ozoOWWLxjpiazxVMMf2pgEhINDjb7WsrlbH0/r8\n",
       "YgPkIDhgdSwZaEadtYhB16FrEAvhj4v3YmGmUbi6KXXO9c5BRReizoimE+R90eBpbCiqZjEaDagb\n",
       "ZrUvgaufW8wC05TSpYjdFCSnlMsx63pVz0RnLqcolkM6QDDpdtJrdSKi2AaNf2d0FUCpOF0Fy2LM\n",
       "1J6HLmyviOZD+yhsA/Uv244BiINCAdKI2GGKHFDoM9vdA0XOuvHZVQ5GI5p1c9qXTp/ghvU8Dmoi\n",
       "dgMG6jHPndnY18q7LHudIXm/+CySyBpdHUljG7EbpQtE6Jysk+Cg8/NHbAeqdwDBDEEClUT3R9rc\n",
       "q4Az9sARMQEE75HAiiDi6OiokUs7ZJEj1sAW7eZtJIbBK4slzE2zHwgivI3kxFXYqDX6VeRIoKJz\n",
       "R2xZKOUxfYEaAj9H/KzB8ClfjHgYITvjIdDhOVbqbcacdUEfIqKh+xFNEC7mjoWBWgVSYE7y6dOn\n",
       "wi5Np9PYbDYxHA6LHrBtGczInqgeRTrqTCmZQk+bSnc58+jp6akUucnBk43SyrUKMmgXpMMEPbQV\n",
       "TscTZC0Wi5jP53F7e9uIasX8Hbo4iMgAZkQTNBMceT0SgzG+InYfwuXpazptMo61Qkr3Cwz+dAw6\n",
       "dAIJnlv2PPOZ7lN5XGcjdE1qL+pzJ0CEUy3+krABKD6A+ZsrmbbTgCaa82vxa1RHU1HdKWSGO0Os\n",
       "GYORsS9+nzT4jFDZPty29jp0IdWmyK1Wv0IaW9u4s1F/M/fHB8/wpRkPAg8scJQhVzvqutQXcgqK\n",
       "Lk9OThpP+XTD4MyIAwjWakQ0HamDREY5XiTVphddYSI0E2u9XjcKa6n3HiWq3+UUNY7ZzmQBpSNZ\n",
       "HRLHMdOJApHSOy/gpr1gMTRtjiJV6Q77U/pHQBCxnTpOJsb7mjU6OjZX79W5PCrtAhNB9okvsgHe\n",
       "Jhm77Ayvp5k4hjwd6QBEx+W4zh6m5wx1FvHTTtNOOSOuYNLHAo+RBdCuJ95mvO/XAol3AxH8vA9M\n",
       "6D1jLPQfOyHrEH2WI8hQJX8jiHB6mk4h6ySel/dKoFGrsai1lyNXbxdviy45DRlaGf1srjLvmQov\n",
       "hsmnQckwE3H7YImIksZwBkLGwJ2JrtfpUU0R5FoW2o+pC0YomXOTodA9RzSpW+lBZqgy8MD2c+bm\n",
       "kOXu7q5h4OWI1QYRu7N59LunILjug8/XZ5tJj7isOv8TiNCx6ax5LepDTz0Q5IzH43I+OiLpheup\n",
       "7stBRMQ2oJJj8aWclb7Q+GJU3JVAg8DaQYTb2Myf0B7q3e0M/YKOJQbD9+VY5Nj2VLW2kW5qv8zH\n",
       "6X+/Bk/fcXomAyiCihow8Hvg8TsFIvSeNRj/J+Wk92x/drAbUD8u6WIeh9sSAWapDA5Cb/R9ncjO\n",
       "5DXxHjLgoe2yAeHf2WZdELappksKLRN1+/1SfNBx4Hrek/0lECHKm4VQDkC8eE/XqQiPxZVMPzGq\n",
       "YdTiqQi+ssHsx6kxYZleZEbzkOXx8bG0kxe5ub2Qw47YpbnpmN24O61M4EDKXzZAqQfpKWshuEAQ\n",
       "Z3HoGh0EOVVNYKrgRPere/KINgONnNrMBZkioqF/0rG/Yl2A9xAGdBF5as71IkvrCfyxXQlGmHqm\n",
       "PfExRYbR2QfWX2Vs6j5HzfvImAsyZ1n/ZUBKbeUFv1lbHTyIiNidapZdeOYYs+P4QPJ0BY/HaEUR\n",
       "rIMNb1gNNCoUjRCdvoMNKgOvxxkCKa+zB/rdgY+zECwyrBUcHbqwX9RuMoA0jk45uyHI2j6jbNWG\n",
       "KqDkQk+MJthnMvysp3F6mCDRr1VRro7HfmMthxwFAYKnRBw8EHTr+DoHr5mL4hy6MIdLNkGpKRU+\n",
       "CiwQeLLdyNionfTyKE195LUVm82mME/qC00LVWGn2BNdc0QzaKF9IUB1gEkQQZtGxoLOgfesfdRG\n",
       "x8c/V+KkTaHd6IpOEJTrXp2JiNhNUbsTjYiGvWCbOSvtNtUDCA8K3PbwfJQs0HVxsOzXx35nrZ/7\n",
       "CAdL+o96x1TPXxF8vguIiKjXI0TsOklnJPwYlCynSWVTJ1MRtV0N+fF3jxg9SnLkmaFQZx2ciXB0\n",
       "rCiEhkLt4Yi0DXQdsqhtnV6MaFbLk47zQci2Z6TJYjx/1Zac1j4UpTdkeOkYHNDKQGeskQO/p6en\n",
       "kvf32omsQFQFmIyepC8ZA0EqvgsOI2LrXLMZKXLQYoIUDRJkEmRlYEvt4o5E7IKAgfbp9bbPNhCA\n",
       "UJsqZbBYLOL5+bmxJLkocY51MmTST6/VYF+SQfJ0BnXL7Y7rvI7D1V9Z53HIkgUBDJYyf5L95k7W\n",
       "GR0ez2tleEzaFgYSfu7MFrexKP6dfZqBFLcr1G3/zf2OriHzY6+Rd132uoaQJFkD8Dj+8vNQUSKa\n",
       "jaVB6fURteiODcxt+R/vz5Ekv3vawe8za6+skIaOSEYtYyUOXZQX1uCUASRoU3tn7eTt62CP0aAD\n",
       "NM+Xe86YokI8GXw5oVok4QV3HLza1/U/y/Hzftpy4vocsY2qSWt3JeqMiNIXZGEIqiKac/7VN9L7\n",
       "NvvgNki2wNcgWa+bK8X6qoYRsROF6jcvoqWjFwvq9kHXxpcCCP3n6a4sGq8B1dp/tKuHKgJWvI8M\n",
       "xLv/4Higg83umf6C7KIHpc44OxDheb0/3Q5pG0nNb/A/AlG2hfct2yp7Z5v46zXyboWVfuPeUBG7\n",
       "KQrmcyKaT/LLjKre2dGkMTNgkHWaroX3QEVzqtC3yxSdHZV1njsmVwhvn64CiIgoEXjENm8b8dNw\n",
       "KDeuAet6kOX/2D/O3DA/fHR0lIIIOmuKIjs5B89F+vlFsbNvMhCbGRWvqfBCXv3u53VAwoiZhuXQ\n",
       "xde/oLP2PqZ9yHLEWYChtnK2y/up3+/vpFP43ANf8ZDpDIKODETQEWaSgZ/MceneqRtqE6VbdI81\n",
       "fTx0kU2QXWeKJ2OP6SgjYqdv5QO0n49BP15E7icyQMpxy/2crSCz7LYju6/sf/enNdCYBSxZAJux\n",
       "JH+6r1619wslAxBZQ2X7+G96r0UaEc28tQwM80i1iMUbucaEZI4qQ69+HqeYHJnyWqQcNXqMUWdG\n",
       "wx2y8N7kMLMaAKU71HfuUNleTvc7HenTLEVTOw0esc2XKm9IJkL/S2gwOHtDjpy6lBm+NhCaGTaO\n",
       "pSwi8ei6C0V0EVH6ww1nDTg5CPCoi5IFDP4/gWD24CTpQsY4EFjopetQKoSvGgjObEyWPpMwQvWU\n",
       "DX+jfegCgIjYAnj2a9YO7iT1coZJKS/5BR97GVCo+YiMBZB4X9JXuJ13cOyMU40REbsRsU3x0XYR\n",
       "rLo/oP9xP/Sr8m4gwo06P9MxkFbSwNUxMqTId4k6hFE7lYo5SIkUjdO9PA2RsQJZ2kGdrPugA6GD\n",
       "43a1qDIDMg52vADx0EXFalJ+5v5IYyvvzUW0vJ34HhENR0rHoAp50tOeJpD44CYTob7UIBXIUFTq\n",
       "OpflWHVN7rA4o4D9rHuRkN3wiJz33wVdkIxGowbTR3DANI8DC4I/ituNLKKX0Ln7c24yx6XjaZE0\n",
       "FnJKV7Sdj1MCHh3Hr42OoAYi9Vl65Y7Bg6G2iPsQxcETHWIWQXukzfFHe+qpCDpvd+TeF962bmt0\n",
       "3TpuGwjgNT8/Pxf7oqm5bv/db/KYGWNHBqwNZHcCRLgTdnTGRqVxJkpyZ54xCfxOKnyz2ew8lEvX\n",
       "oGPRWGeP5eb1u8PSOahEQr0OkjgIJLz+LKrM0LJHYU7bHboIRKjaPmJL4WvwnZyc7IC/iCZb5IZD\n",
       "7aYVJcUORGxX6vM0hkcZ7DNGkz5Tg3rkhidit36FOkyD5aveySDwXh1A6TuvJ6uV6ZKMx+OGkdZ9\n",
       "eD0EP9Ng16JFggjPe+tYZIqYvvB+5Us6IV31gkl3Vj5mda8EEPqcOS63P26XMvCQRZtqi0OXGluT\n",
       "tYWEQI2BIG20A0L1ldqf3yOay2HXzkEQ4WyH7oX9y/HtoMQDCPpM2n99dqbDgzLaI0otOP4VeXMQ\n",
       "IWMr0aBlhzJS947WtnTANfBA9OhUJw0JaWwOdCqSo1oW3mkfKhC3y44f0QRJmRF4CbPAgeTRRleK\n",
       "phzFO5iQkI1yB+rGROCBD+Li/H0fiM7o7GMkfFBuNtvqd/3PfhczwZf207GoK6oH8OtyYRuov7V2\n",
       "gRvOrkSdET+NOZc493oOjhkCNwIF9o3bCy+cpWMg41Qbu+4QyDgQkLJ/CFoiojGuNbbpDJyJoAOj\n",
       "Q/H71fX5IlhZwJUVEB+iZGA+qyviGKmBiOyYeq+xkxQHtpz5pHeCWvd3dO6s25IeeCqX+sLgabPZ\n",
       "NNZHoc3kOTLwTN3L7OBr5N1BBAcYb5gGIgMTvr8j1CwKZETGhnPaSuJOgwyFiuaIJMl4SLGZA605\n",
       "Rt4HjYVTcNk9u/N0ANGFCJQDUo/dFhDLAIM7CAnbQHP99TwLPQNBudWIXTqcxsF1KRtYrmNy3NQn\n",
       "n02QRZBuyBiNahs50CwSJRNB9qVmOLsgvu6D1w84Je9rK7BfHYDRgGu8eeFyLYLzNmefyaDLCeg6\n",
       "GVESIGZ9yWDInUu/328AKe1TY1LamC93ZIcuWXDI8eTgPGL7LJ0sgCTbwGBSdVJ81k7Ebu0AbRZX\n",
       "qtU7p4hzTRC97wMRDCiY1uPTTHmvXBzL24z+Sccla1JL6/2qvEs6gwZUQpSpRnJk5Q7eqZea4WdU\n",
       "qoZnnihrRHUaoxKmOLJFgXR+nYdI1Rem8mumwVPbZI6Vwm0zINGVdIYjezrQiPzhMvzM+2abCURk\n",
       "YCwzEBngykAK96dTY9pE1+x6kknNQPLaaiAxY2McgHqhVxeEQDIrQmR9lEfUtAMRTRDhEbjXMPkx\n",
       "s3GXBTqkpJ3CzralLmT2UNcQ0Vw9k31MPXGgy3bL7p8p4y6AiIj2wkZndCJiR3f0Hxkh1lzpM5fL\n",
       "5/HZlwxMNQOGS97rGmj3PdB1Pcn+czZCY9tTMt5OzrjqHP1+vwFqI/KHYr5G3q2wkkJkyGiCHUdH\n",
       "7zSvH8v31+IxNEI8Jwcg/5MCcJEWIlcHH+wYKrQMOh/EU2sL/80dRG0bGkKPOg5dHAQI9EmydnW2\n",
       "hQCPAEIMBA2Gogz1DZ+HcHS0XcDo+fm5gEd3CNxeBuf5+blMp9N3XZ+MgRv+DDjUjKXfqxf7al/q\n",
       "rOtCVxxGBoZdpx1UMbrkuGRwov0doHh7ZcY5uzaCA0m2IJSDfG4v8cDIx34WdPEaeU3UlRqFT2d7\n",
       "6JIFSZ7mzQA1/UDEFjSx9sifQUOH7efji6nS1WrVWAyPAQR9hQetNSZF9urk5KSsOOoAJqKpy/SV\n",
       "WXvouJKjo3wBw06AiIjmTWVsAJGzv7PhHIFnBkadTWPOc7KhCQi4doEcC5XCDTIpUlbEu5FqM07Z\n",
       "Z37PwATbwAdOZqwOUTyKdnZGuuHAgVGGogJnIbxSnnSyjAGBqtcvEHToeiKauXNdm/SM9KmOwZUm\n",
       "yVw5Ze667iCLeVidg8AmInYABM/bBWHfZkYxIo9CCfC9/bSPju/A1ZmdPwMiGJRI1zKnxvNqP2ee\n",
       "/D27/gx4+nmye+K+nko9dMmCDQcRvl3WTxqz/iRcBit02B64EHhyiXR37G0gwnXTdVDXqQJunn+1\n",
       "WpWgmG2j4xEI6Xr4Wf8JRPBadKzXyLuCCL+5DLlrW91slnZwJoH71JSNkZyU4OjoqLHErhsjHVsR\n",
       "52w2a9RZaEEaKoJfh4yiGyg3bhIpXTZQeL/Ornj0dchSi4QYtZHe9gFNsKgnF6pPNai8QI4On89g\n",
       "YG5U71k6ie3vuUsdW8fTdUc0qcN9QMJ12w0YUzSMQNxxeu63C7JcLgsgJHiMyItiKd6mdNoRuYPO\n",
       "QHtmVGvskf6riTu1GtNRu57s3OzvfeejTRLQYZHeoYv3Vfby7SlqM46DNsBZYzwFHJTCIOO52WwK\n",
       "syEf4gvZ+QPWCCC8hikLVrgcgWweRQGQ1/hlespAmH7jtTbiXZ+dkf2WISIqitMvWSNJiCRd4aQM\n",
       "q9Uqfvz4ETc3N3F8fBzn5+dxfn4em82mEYHy/I+PjzGfz+Pbt2+xWCxiuVzGZrOJq6uruLq6aiC8\n",
       "iNhxehHNPD+VwiMhdSr/Z1tRIfSu8zuVeahSq0UQu+AgojbIHx4eyjMM6ICGw2EjKojYzqTxwUMQ\n",
       "wZen09je3I7HZ32EtnVQ5CA1AxZZBOZsh8QjWr+3roCI+XxeUlP9fr/0l9gcgj5nV3yMEFhlss+h\n",
       "+3YZgOB5HbTwNwcRDgT+DIDImFi3c85IRDRZKYKzQxaO+31Aogb+fBx46pyfCbwyECHwsFqtiq2R\n",
       "7RiPx+U1Go3KjA+en0Eex7VPQyW7waCE/3n/O2DMgm4e0wPQzoAIDpxsUGYDQwY4Q5l6zwaQK9hm\n",
       "83OtiOVyGfP5PP7444/48uVLDAaDUjdxfHwc4/G4EQUxF3Z3dxffv3+P29vbmM/n5X7EZDggosPj\n",
       "PWftwvvKoo22SIggwo93qMJr9b7L7tWjBfWLQMTd3V1jITGxEcx1kkFyA+MgQvP+SVf7454ZKURE\n",
       "SckwItC+GcPFAU0mqQYiMpCYOT1eW5dAxO3tbYNhIeviRq+NjWhz9rXv+q3WnjomAwUex5kGfZc+\n",
       "s58JBGgvajZN+0Q0p7nW7KWnhXRe7tMFG9EGGLJ+cv+SgWnaE4ITDzw9fcE6CLGerKviKrh8TDj1\n",
       "NWJrh1jL9fDw0AARDpp4vfRLuk8dVzaP44Vtwc8cT3+FjXjX2RkRsTMI3aBm+5KNcCbCkSQHnMR/\n",
       "Hw6HMZ1OC1UkhuLu7q7kyzebTXmy32KxaBRq6qmCEVEeH1yrvdBg9nvPHCXv2VmHl6BMHufQxRF/\n",
       "FvW5rjCN8fT0VPpMzFBENFgc1j6wiroGIrxym//5czY0aH1etwotnVEiuMjAROYcPap0HXAjFdF8\n",
       "GBSv7dDln//8Z6GC+/1+MdycQsfZGBxnGUCTuCHOct0Eaa4bPL76XLM89JtH9gIcZI02m02aL6+B\n",
       "HoINAYmMdcgoeP3mbdRFENEmDNw8iPM+dH9BYOgvAVimS5fLZfnMMalgRr7Dl0yX3dD5CB5Y5+SB\n",
       "gs6pl7ajX1Hgwn71tAZ9D9vJ7c5r5F3WiYjYZSIoNWfq77VI3umoiN3VHfn7YDCI6XRaGlKzORaL\n",
       "RaG8e71erFarkr5QpwtEqDPlNAaDwY4hI7L0e/UO1b1k23o0sw+YdUG8XVw/srZRHys/qf5ZLBaN\n",
       "IleyT6qgZh4zYvdJmdlLgEIRBiOOGojQfYmFYF9loM/7tgacXK89otCxeN1dYiL++c9/xsXFRVxc\n",
       "XMTx8XEDQDw+PjaepJk5erabxgiZgyxSr02L9ZQXxx0dMm2bp+g4ztn/ulYHKRRGmwTYlJcACd0L\n",
       "9eAlzvkQJGMcKJmtjWiun5Clv3hcBxEZAyE7QxaCPklgQ8yE7MVgMGikN3TNBMfUP+rher0uwasA\n",
       "BNeNUeF/Zi+ko64ztBEOIF4baLzLUzxdEfwG3bFS9BsHIvfjdhLPfQmVa6rPcDgs/zMdQLYh4mex\n",
       "lyr+e71eoah0TdqP1+ZOySMPbUeqvRY9cVuPXNoGVxeERtCjuX0gwge1io0EIpS6UlTBnKaOn/UT\n",
       "13dgSkAgYjgcFsPg65D0es00mK5d0Qgjw0yHHRh4O7Fd3ADwGFkBWRfk9vY2Tk5OYjKZNOheGXM+\n",
       "BE397OKglHntfUvaS7yNyX54H2W2SpKlnfz6/JyZ+FggMHGQmQEWr41RId6hS3ZPETmbK6EzdBDh\n",
       "bITe2wAEQYT8AMdxxM805nK5bKSQFHCsVqsYj8eFXev1eo0FqjIAIV1V+kSBD8c4dbsWWHtw4Wy+\n",
       "XpyV+KvybiCC6C9TBKfbvNG4bdZwfhyP9v0auJJhxE+l80IXMRCbzc+iy8lk0ihu88p7z6+7k2JU\n",
       "yI5uu6/sHv2zb3Poomv0KCBiN8UlEeoX2POBzb58eHiI2WxWaia07f39fel7Tfli1J7R4jIKmr89\n",
       "nU4LiyWjoGsXSyJZr9cxHA6Lzkg32sCv6wQZCI9iM7D1Z/TpkETz7t2Y+4tP1CQIdQe+2Wx2wANX\n",
       "9dR0bNcz73v/z7fJbJVeshOMMHVvAkSeBtX1e3DiNpLbcXveT1ZUSGB0yOJtQKkFphHNMVRLeUXk\n",
       "00czAMFVcJnuUp+5fkZsH2u/WCxiMpnEcDgs/cClsj2l5lO5pT8ZAFIbZUBC+6hdBCA8SJct0cqr\n",
       "vyrvVliZyb5B+ZJ9KRyIbaBFxpxGiJ3ImRyikQQiSEHpuE6LZyBCNJuuLWMi/J6yKKStbbriONgO\n",
       "YgsyQ0gDTgPMaVaMKKU/+n+xWMTt7W3c3d0Vo0BQoIghq6CmY1J/jsfjODs7i7OzszK9V9emfTlt\n",
       "yxc0ypwWc/Fu/HxceGTp0UZEpGCoCyJDnRlUf3FdDzoD5ovJQjEtQuNN+0Bb5M4nIqrbZm1M56S+\n",
       "1fmyHLwHJBkw8HNlTITEwaYXVeRsfQAAIABJREFUGXeBifBxE1FnofkbwUTWjxH1VBB1jiBCqQcG\n",
       "oPIfvtid0g1HR0cl2OFssWy2FYEMUxfURS5wR5/VJtIlfc6A19HRUaPG71fk3ad4ZkbaIwluz+8v\n",
       "YSA8Smlzws58MLUhhDYajaLf/1noxX2pnNlDXBjp0ugTuLykzdyR1GjMronfB42so+eISJG6+lsD\n",
       "QW0tRyEDoHf1oRsNRvVuXHiO0WhUWI2zs7PYbLZPcBTjUAMQNN4OKN1ZZAbQU2H70ltd0ws3rIzm\n",
       "+WAud9CcheCRP5kHgs2IZqEZHUyWDmJfcaqpO3hdm46vdz+ewKaun9MFM4DplDudj/ezU9Yufr+H\n",
       "LJmvyJghbl/bn/Ux/C8DEmQjyDR6ejNia5dkZ7y25unpKRaLRQMgsojS71E65SlVMec+PnQvBKsu\n",
       "7jv0W7/fL0Xjr5F3ZSKckmGjOS3I95ccl4PDozvfjud2lEsDoQJKKoC2X6/XpYNrIEL1F3QC6mSl\n",
       "T2rG3iMeXbMrfYbSD12ygcP7itiusZA5Ew5sB2y9XrMCmtGEQITT5aQL3VhTj0ajUaNAU6Cl3/9Z\n",
       "rCtj4pXX1EdRyR51ckx4HpsgQdfi6YyaHnQFSHhhGaMtMgiu/xpHEU1mi68a2M4YBc+jUzeYZxcz\n",
       "pHdGfQ5W/JgCEbpvRbdMbdDwZzrpQNcBkds6v89Dl1qAyTHk2/E3+hN30L5fxkRwBoUCDRVNahYR\n",
       "gSMZC/aT0iAeTGT3pXsT88C1aKRzKqh0MFFjlxhgu+g8g8Hgl/pI8i5TPGugoIaU/T8f7LXta7Sf\n",
       "X0+tMx3xeuW9KC1uUytgqyl+7XzZPvzsaLIGPLokGYAgEyGHT2qa69VzEBBRa4DpNxU2+RRBOnGC\n",
       "iKx9eZ2kNunw3eHpOw2EjIHAZtanzqC5EaDO02lwrPm2hy7sY3f8Hr3xJWfM/slAR20MuYPNwIP/\n",
       "l0W0fmwHJUwp+H1FNJkYr1vIxojrKQEKrzsDTl1kIiSZfrtNzfbNmAhneKh/1EPamdFoVGZfsLBe\n",
       "K91mKREev5Z+Isj0dWvYt942BCe0m9Q/srrelp0AERLeVObsa/tw34ypyEADGzcbgB7tOK2kY3vk\n",
       "oMjSDReVRPtQKWng/VrbUhIvAUXcriuStYFH42qvLFep/cVADIfDMuB0fEXqnz59iuFwWPav9bvE\n",
       "51mz/TU1eDKZlCVume90XVCOVJ8JHHRs17kMYNYMI6/PnaE+d0XUTqKQZQx5zxn1LKnlmtuCiFpb\n",
       "tgUrPA7ZQIIaHdsLq7Njup1S1OtTEx08+DXL+ZDN4/22BXNdkOye9XvWx3qXA3VAxf5z8EAQSker\n",
       "2VlckVLnV6EsbdVyuWxcJ/WV9yIQwVo6stq8XzJhBEYOjAkqarVenQERUt6sWOylQCLbrmYss0gj\n",
       "Q/GeU9T3iGigQh1bBV2iH3Uup1ZJN+mzqLDMEPkg8Eim7d7/bFseitSKnPSd/2XFdRxkYhr0XQCC\n",
       "azyMx+MdipvHo2Ems+AFjCcnJ43lbQUiNPhplFarVRnEOgcdic/WkXgfZjrCbfle+60LQhAhR0zJ\n",
       "xrOieKYwWCsRsWsnHLTSuUpqbej9QhtCwLvZbBrj3lknXgsBjX5nfQSjyWx77aPzebDhYLQrNiKT\n",
       "LBDLgDfZBzpQbltjIQgiNGbJQozH4wZD4L7m+fm5sQS/fmMhPu8lYveJw6qzIpDk/ZItqwEHB+Cd\n",
       "BhFOI9VYhJcYv8yQZo3jDcv91GFqbBoU1hg4BaqCGh1XHch9WZgpxVSnyzhkEQWvvVYYlYEhN6o1\n",
       "Z3No4gWDpAW933i/Ec1pSb4qnAyvqqBZLyEHw4jDo95er7cTDTAnqWmeo9GoPHNFD26Tfvi6FMyT\n",
       "kkVhgV4GsL2NXmr4aZy6og8RUcCWClfVJ24wNa4EwGScSRdnQqCq4/r4k34IAHqf6D8tAKTaGC+0\n",
       "zFIYGYuQRdAOqt0u+pjP7kfnywBEV6QNOGcppSwqj2g+HZptwTUafPqv2o6FhwxUvOCW5yUwcGBL\n",
       "5orb+oy+LEXu9tABYeb7XJ9cR1TLNZlMXtVX7woiMiWuRdouNWPYFqm5Y8ocOulP7hPRfGiWIlH+\n",
       "x6WUSUWS2uQ9si6iRqc6feX36CCiLUI5VKGRVS2Bg7KIZrTAgeMggs6eeWdtw8HsrAYXc9Gg4jr4\n",
       "NB5KneiJfaI2I6I4Mp1DIIKOT+vkKwLQtC0CBQcU7shq4oaJRqULQhChqbsRW13RfTFy5L2x0KwG\n",
       "vBiBkQ2jkddc/8xZPT09lXVHpFMR0bg+2pdsFo5AT60v5fSy+itn8JzB8ACEjEybnTxkcfvIcSHx\n",
       "gC/7neBS7eLggWkMnY8rUDKgcCCh7Ql+MxDhAFG64qwV+5L7eZquBjLdV+g4PK4Cn+l0+qo+ehcQ\n",
       "4YU8NTDxq1JDYToujYEbHi+wc/rLlZaRBvfl+Tl4I7aGhcv2OsDh9WbVxxJnHXz/LhiJzGkKTGSD\n",
       "wUFdBiC4oBcRvlJQdPCeGuE1MU3h6QquLaHPpKmPj49jMBjE4+NjmcnBaIeU/cPDQyP94s7PP7cB\n",
       "iTaAXYvMD02ciSCrQAfK8UWd9xSGpBb514IWghd32kpTCRxmLKvbB78+ggg5PQ8CsiCBjFXt+jN7\n",
       "5BF4V3TCbVqNldB7BhhrwFrjkIA0Wz+EaQava3H/wOuhbnixZHYvrt9+3f57xjK5ntdYCPczCoxe\n",
       "I+9SWJkZQN5glhvOjlEzlt557nRYlR+xZRucaVBem2jUEZ8UghS6z0N3Q6G0BpXTazLYTi4ZDZop\n",
       "YxcARMTuyox8zwa9MzRMY/i0Wm7H43rlO9G/dEFrQbDmYTQa7VRLcyExMijaTkVYWuFUEY76TKmN\n",
       "DCTUmAgHEm2OkgauK0K2htNkaYwdYGaA2p0m311o/J0JI/PBa9S1ed0MAwS2O6NBMp5tTq/m9PWd\n",
       "4CbLyxOgMArVMboAIryvJd6ntaDD79Pv3/vEZ/LIHtCmaOzqvAT+FAcp9De+Ha+DrATPzfv0e80Y\n",
       "7UyHeN8RzTqMg6+JcAfpA6wNHLi0beuNqu09otN55VB4bXI2XIuARoUDVjn3o6OjhtFj1KHjchqX\n",
       "IgoHERz8HgF5W9VARFcki7gzAOG6wxoH1kI4FejRIA2FD1KmnI6OjmI8HsdkMilAQiAiW8KckZ+Y\n",
       "Jg3K0WhUomutxkjqVMtjazAzr67raQMQHhFlhsSN1iGLszSsV/H0BB2Ej7WasfVo0QEEnS0dCivq\n",
       "9Z0F0yqwc2NPJ16bMZJFsH7dnkeX8Hze/7pfj0B5vK6I35N/1vd90bj/7nUKWcrU6xMIyqhr3sbO\n",
       "bjB9QT1Wv/L8Oi/1ynWKfq4NRHi/S88jonGeg19sKjN++yIkVxwaw5fs7/9LUTj1ZrFYlIc48QE/\n",
       "GnwZmlS06Y93JSWeoUvvRE3FcmPi96/PbRGKv7pgILIq8pqe0IG4I/e0koT7O6h4fn4uhZee/1Q6\n",
       "g+kKfzQ4AQSNC8/BASpWQotaeS5XesZiUPb/S8ZPFqnp+F1hIzhG+ewCrsnB6FDTeb3q3QEWo6+I\n",
       "/PHp1BOmNV23yGxSNwiCJRmAyIy7tqW4/vPdI1Ttnx03q6Ggzh+6ZIEh/1Mb0ZG6PcwCLe8b396D\n",
       "TgWW9AGU9XpdQK+WutbDG/ncDQLiiEiXYSc49RWPec01AFFjZsiyRERjBttLMgFt8h9LZ0hqUTVR\n",
       "n47BAe1IlOfKjOrDw0MsFouYz+fx/fv3+PHjR8xms5jNZrFarRpRp86TrdvPhzApYiWg4Pr/YiGI\n",
       "/moG351q1j6ZUvgA6oKBoPOVZODBGYUMRHikTiEIyRB8xjRpNTov2KxN+9T96J2sCIEEV8b0KDqj\n",
       "VP0+XgKeJYy+uwIiGMHRGDuIYGqp12umCh2QRkRj/G02m5QxiGim2GjMqVubzaakv2rz+F3HXM/a\n",
       "nB2Bb6ZjdDC6jojdNSS8HVzns/UKDk3cpmXRNsdT7ZU52YyJcMBBu8Gie6YD9FtExGKxiLu7u1gs\n",
       "Fo1HePsUcgcRznizhkI2SIWdEZGCCN0X283bUNfaSRCh+bJZboeiQfQSyRrM/4toVvfrYUzfv3+P\n",
       "L1++xJcvX+L79+9xc3MTd3d3Zf4/5+gyMhJrcXp6Gufn53FxcRHX19eN9QkUTTr1pWvVdwdDbdFl\n",
       "NhB8G37Ptjs08Qivxjw4A+WFkxI6CW9fip/H0we9Xq+wTDV2I/ueXb+uVQ5PRoAGTN/booqXMBE8\n",
       "Do/VFQAhYbSsMScjHLGb1mKbuyEmsHAWQMJpmTq+hCAiC16y/9yA00GxxsrBI1Nq/X6/ACSeg87F\n",
       "i/TIelKPMnCjqPrQpRYoqS/Zdy8BEWyPDMTV2A4CMPqxiC3z/Pz8HPP5PObzeQESfDw4bUwGIghO\n",
       "aJvEkEuHyHTzmjygdlug43J7Lxh9jbw5iLi9vY3JZLITNVJqUYTng3xbffdoko0nWnQ2m8X379/j\n",
       "jz/+iK9fv8bvv/9eQMRsNitoj/SkruXp6akgzMlkUp4MKWprMpmUiFXXkAGIiG1dhEcZzkS4Y/H2\n",
       "qTmxLjgON45+j1mdhA8UGt9s8PtnOndGkAS3nvskjanfOG0vYz54HA5YAUwyVHR47iza6iFc3GjQ\n",
       "cHVFPFd8f39fKGE+fMvBGtNUZC10LHfYooUVyfu8f9qejPVyh+R6qfds/DKo8dSN7klUOdNm/Ezj\n",
       "nwUqtD1dBhHO5mQRtjMRWVuT1XPb2gYeCMrYlnLoKvrlE4M1/Vfrw/jxvU9YM+F2ysGminn3BV68\n",
       "h6zN1G5MyzNY+xV5cxBxc3PTiPCcfolo0q+SWjRZi77ZCUJtokbJQnz9+rUwEd++fStpDS+WU0Rw\n",
       "cnIS6/U65vN5zGazAiIWi0UpxOv1ejEej3fAgQMfKi5pU1131vE1NE1l5LG6AiIywOXULfPMmWPQ\n",
       "Gh0eMWSGRw7BizIdMBJECKTUojvv6+xF4CKDQb3Ios02AFEDE37vXitw6OL9+/DwEMvlsrFYl0d0\n",
       "zE3LMdJp6DtnyHBKblsbk0Ui8+HjkWNV77WXdIrrEsjpMDqU7SHDyVobvWRHCEgZsbqudC2dUWMU\n",
       "9J8DuwysZWDawYl+c7vL1YnZliqsfXh4KOwD6x+or5lvk2R2ivUPOq8C4Sytypkj+14S+rZOgIiv\n",
       "X7/G0dFRTCaTsuJjRJOupwONaC80zMCHo0k1qrZRhxwdHZUVus7Pz4sRF1AgoyHgw8WEjo+PYzwe\n",
       "l3qIT58+lfytOoOFS8yX0sHTkejYtaiWDqfWFpmjPWRxKjhD1XoxnxdRH+A0zj6VjmwAn8LH5Wsl\n",
       "HonSmdSmlrJf1+vtA6C8MJfn0Dk94m1rm30shCIoT5d0QXhviryUQiQb4ZGdOxIaZaYktA3zyXpl\n",
       "M3vkhBjturEmcM1AXFaZTxDD2UI07LU6HK/RIKhpa0+PartQNyVxJkV9oHtnoOFOudY2GYjw8ZWx\n",
       "wO6MVWe3WCx2Hh2e1XHwfng8+qgskDg6OirF13r5ddeAgLdbxM+Ais8BOfh0xpcvX2IymZSoMWLX\n",
       "+dHA1m5IiuOd4s6fSuWo9eTkJCaTSXFAAhSnp6fFYNH5cEEhnUfz/yeTSQyHwxI1KSri+agIBCcZ\n",
       "OtwHIlzJaez8t0OXmkEko6I2p654gZoMI2lFOnBFlAQEWvthOByW/qVe6fiKdAU8tciUAAiLL5nn\n",
       "3Gy2z/vw1erYV7p3z03WAEQmbjzdiXGbQxdep4CYAAT71QGE2kxCHXE90/9c/MuBR8Yu+WePeBn1\n",
       "ul76cQloOEtLwQxtDnU3A0Rss7Z+JrjsEoig/tPR6j+3fxl74cyU9x2Pxe2z/nVwKIZA6QsWSmYg\n",
       "ojaeqT9kwpgG7fV6VRBNn6ff/fgEX8fHx2U9HD2N9DXy5iDi27dv8fnz57KUbRs6zJxrxG7hnIOQ\n",
       "lxxLLIIM93A4jOl0Gnd3d3F3d1cKY5gvlOMg7a1VDPW7OlfLJ+t8NG5umGrKxet3yRxJF1iHTDzP\n",
       "HBHpwFCuW/9LdzRIOWtG+UhV9D8+PjYqkPU+HA5jtVqVlSgFIrJUgIw4l8LmSpYEEiz0e35+Tqd5\n",
       "OUPykkizJh7F0NDRQHYFREQ05/CTifBVLN2QMrqP2KY03RBLZ0j/Szyv7LpQi1TZ7rwPXZveZbt0\n",
       "Lk+riCXzhy/5e43C53mzds2AbBcki9z1e+YPnBVyoOUshUf0zmqxfoXP23D7kwUOWX9k9Qu8dgqd\n",
       "ewZcs3vMjhuxBRICq2LUOwEi5vN5WZOB1abZoJQxj9hOoWGH16LsNuou4mdnjEajwkTIsC+Xy1JN\n",
       "O5vNCojQtTFv5NS2ImXdiz+8hRXW7jD9mimZsuh3v2cajy4ZCRlKj+xoZGtUNAcrFyaS0xabxLUX\n",
       "mJLiQk9KRdUiNeqBpzMILGT8WeksfVeEwiLQrGgum3XCNmE7ZQAie3UVZIqJ0BhVv6o+giCR4Fxt\n",
       "rzHASF//c2E4B/QZWyDdkLjT5kv76rweEXvxJ/udtkVCQKnr03l1nxmo0nsGiHTcLojft4T2osYQ\n",
       "ZQFpNn50fNaRZNvxOL5mjPQw81F+bWSW9DuBibbTjC75kYhmqiOzn9n96l16qacaa5mC4XDYPRAh\n",
       "A+yRecRuUZQ6loNECF7itJaUyGsTuEAUi5qU0xKI4JM3OSedRU9SGBk4GSVRpM/Pz4WpENLjfu4c\n",
       "XHww8Hdvs8yhHLo4iIjYretgkaXu9+npqVCHfLmzERDQA9PYnyqK4vkITmjoOfC9qM2ZCYHUk5OT\n",
       "UnTF1IoGsnSROuFRpkvNqLmD4sudSpeE6QyNUbE6fOqi+iKi6XA17tfrdXHKctJuMD0VmjESWZtH\n",
       "7LatdIzjnNX8ZIp4TZ7OUn96akvSFlHrOmhjeB36vyuyL9hyoOH+4s+ACE8N1NqYoEF2QedW8S7r\n",
       "4XhdfNS3jsl6Lm6nlGsbS81rJDDxbSKatRCnp6cFRPjiWX9W3hxEKEKUIRgOhw0FkHGtDRSXNges\n",
       "zmaUqsZ1Y61BSxpxNBo1Cva4jRRD55Gy1GofIrYrnSnSIHJ+CQ1XawO2T5sxOVTxyJ2gKGK3eDSL\n",
       "yNQvrg8qQnp+fm4UqtFYZ7R0FpXwejTA1Z/39/eNJa5Xq1VjmrAXesow0JFlTovn5HV5X5Od8XQG\n",
       "x1dXQITui9+VpmIFvFPKBAE+ptTX/X6/FDHyPHToOib7RjpGmttTHBG7C1apX5g/p5OI2NYF0alo\n",
       "LKh/Pd2XjfmX0vZkc7sEImpjoOYbqP8OJtpARLZdxBYY0tGSAVMfK5Dwgm8CyvV6u+IxQUQ2dpmK\n",
       "zYTBlq7PA1UPvkejUZyfn8fZ2VlZKLEThZWaqjWfz2O5XMZ0Om10lA9AijsT/l6L2LjiHVMT3J6G\n",
       "OwMR7Eg39Dq+X5sbHymJHrTk89FrBsKjFf/f77c2MA5ZWE+wWq0axjdjUhxIsIpeM2vEcDH65wBj\n",
       "wZoPtohoGHDOwc8Anga950P1WXQ2c6m8Ny0UVAOU7gR4rZkDobPSOTK9P2TJ9FggQiyhQIQDNLUl\n",
       "nSN/U20NQYRshfpG6SbRx9IzRYIEBxrrDiIYdXqRHftH4MQf5JYFGp7WZVt5sOFOkfpBm/Zap/Fe\n",
       "kt2b+w6++9jwffcFWpkO0nZ78TP3U4o8e14Gj52lMyjUJeqdxP0RUyr0IdI/yadPn2I8Hsfl5WWc\n",
       "n58XFsJnp/2KvCuIWCwWjbn9rvh8pzhS9G2cMmLenIOU29NQKDo8OTlpGHx39jo/7yFiSw9y8Oqz\n",
       "aFeiQo+sqeQ+6F8CIF7CXByS+LMp7u/vIyIvLpLUKEe14+Pj404KIaIZUdJB6Hw6p2pcJB4lZKkC\n",
       "BwqcFUJ9lVGRM6s5ep6T4LrWJnROXnXfNp4OUWpO4v7+vhQ/awXLx8fHOD4+bkyhdaNLyplspE+9\n",
       "ZJsLeJJRdJ3r9XrlfBHNdub4FRuaBQVMlZLlzMCD64Zfc5ttoDNlKuO19PV7SNs9ZoCJv2e20f/3\n",
       "c2X7R2zXVOAr6x8PYHwGDI/nIMSDJPcL3MZBJ985a0SpXenAYDCI6XRaQIRmZmj/18iba9N6vY7l\n",
       "chk3NzdxcXFRctYZas4cvYOMiP0V52wYr2XQNbEIUpEDf+P1+7ldEYkMfeD6VJ8aMGlD0JTatchZ\n",
       "dWH6Fh9MtVwuy6DI7t9zuao5YJRJ50BnLqEzcGkDatk2Tgt7fYTSGep7pfP4+GhnXuSUXP91bneG\n",
       "GhvORHgevUvUtRy0v56ennZSogL8irhUKEv62CM6CVOU2bkjmk8U9XZUm2fXyr4gCCF7JvbTi/My\n",
       "JpbXp3fXxQxgZvraJVYqogmQ943L7DdP9bQdI0sLMcj0/tlstsxVZhcGg0HKTrlO8H+JtmMNFmeD\n",
       "efqLzIjuwYH3/f19jEajuL6+jt9++y3Oz89jNBrt1G38qrw5iJAhvbm5idvb21gul4UhyAYibyoD\n",
       "DuoIGgoXDlouKOSGO3txwPGckszJyzCoI6VktQVyso7bh55dfFuyMIcuGgi+1HjENnJnPzGPTCNM\n",
       "OtjbwHOM3pe1SEbi0YF+02cWW3KGhtC99Onu7q6scCoh8ieIcJFR4jUx6vaUBsFWFvF0RdjOz8/P\n",
       "jcLZxWJR5rkLLNLZe1+xfyO2i3uxHV1HFFSQ1VCfEcwRsKlvvE6DfU3gSSDR1k+Z3vqY5/36dgzY\n",
       "aAMPXajbbE+J20Xvxywoq/kVjh939u6s/dq0HwEiGQuCCAI+ZxzcLx0dHZWZFHpW03g8bgQqrCnj\n",
       "/d/f38ft7W3MZrO4vb2N29vbGAwGcX19HX/7298KiPirGKk3BxHT6bREZqymzwYZFaANHWX/M2Jg\n",
       "0Z0amw0tA+KOxxezya7BwYaUSx0qRYjIoxYdW+9ZlJG1RzYo3JjUIpNDExYkLhaLxkJdYhN8kKod\n",
       "2b8csJJaFOLtWosEJNSn2memSVQoKsDKugw5IhoIOh2lx+ScvBanFqVSB9peXRBNNXOaVu0asV0h\n",
       "cDQaNQoWCSJqfetAXtu689Y+LFTz8Zv1j/pc+isgmQFT7899kWBtvHsg4zaNoMb/P3ThuK+NZ/cV\n",
       "bWOAbUDJxkoGRLm9+wwGAUyxUXe83bNjSh8/ffr5PKazs7M4OzuL6XQap6enpYaBS7FnYFazOrSQ\n",
       "4uXlZRwfH8c//vGPuLy8jOl02pg6+lob8eYg4vLyskRnAhIqpqPxj2jmxLPOltScsopLGJn6wkbr\n",
       "9bogS3W+Bpxmc0g8Eo2IRspD96B3HlOOgxQ0pabM/t3TIzXH4XTcIQtBBBft2my2DI6j/YjmY3Qj\n",
       "duskGKFnjIPe+apFgH7s7OUAkhGrF1T2+/0G9R6xnb0TEQ29zMBEFrnUQDd1oiuiYCObg8/xulgs\n",
       "4vT0tMH4sa885SPxiFTbUg+kC2S73FAzPeG/c9aIT9nL7FdEnWnUf3rPQDWPx3eBcQJy3nMX2Mos\n",
       "OGqrFfN3P5bbVomDMUkNcDAQVfuyRk66wUJ6AVYdt3afvV4vJpNJjEajOD09jc+fP5cnRbMAknbF\n",
       "ZxyqiPz4+DhOT09Lmv7k5KTBQghE7AvYXyJvDiKurq4ayq2Ka+V6KOxMGvc2x8gBJMNLxXAqKosG\n",
       "GAFzgGVUY8ZCsDjTnYLe3XDw2muGpIbCHVjUBsKhihTdV/6UoZDhy3KimdOnU2ebOmBwh9EW5ft2\n",
       "nn90VsKjDgICGYjVahURWx2irhFEZGBC16R7c4Cga3AA0RWdOD093XluBPv66Ojn1F3Vl7CgNKKZ\n",
       "e/bxHpGnsagPLG7kmOY0UWdJMhCh6b0EPtRj6QKlrY/Ynz7LoxZMcVuvP4uITtRNZQDCgwMH0f6f\n",
       "b6fvGeCOiJ225HjOXgQRbOvMvmT95Mf79OlTTKfTGI1GcXZ2FtfX1/H58+eG7lAHqHMcM14E2uv9\n",
       "fISD1obgNHO226/Km4OI//mf/ykV1YPBIJ6enmI2m5VlqLUgkCNFIebaTb4EWPj2rlA0GEx7SGhY\n",
       "JKItxXroN3eEBDQc3Nomox9rg6YGMNxQqLjv0EUGmstGq51576yNUHuxeFC0sQCd/suMAp1+zflr\n",
       "H70T7UdEw0DUAAr3Y6GrGxJGkwQdGVjx87n+Zg5TBq4rIOLz589pEZvaSf3tjwfXva/X68JgeQoz\n",
       "oj1lQB3T8RyYup7QsJMFycZtpoce6Wbj3BkIBwSuI7quffVYr63Gfw9xx++MTmbLJezHGltR0wf/\n",
       "nfab49r7Qb/5uMtAid+naqkmk0lcXl7G3//+95KC4FLaPK/GCplwLsEvO8hzqr5IQoD8GnlzEPHf\n",
       "//3fZVXIXu9ntfXt7W3JazqajGgW19UaX9v5QMyEaNILnxiFOIhgKkT702Do2OwIOjkBDe3fBiLc\n",
       "YPig8ftk1K6IVtH9oYuU35+IqfZwEOF64PnGiGjUGkg4gB08yJjWIgVdC3Wyjb3IokHeQw1k6H6z\n",
       "Sn1nPBysOEPhxs6ZtUOWz58/R8SunnPJcBVp84FcrC9xnWkDYDq+vjuIoG1oS4+wnziWeZ5Mt+j4\n",
       "3cnxHLyvLC3iOsl+9/ET0Z3VKrPIfx+I8Bf7RPvUziPJgJ2zSDWA6G3P63WbwbF6enoa4/G4rOPw\n",
       "j3/8I8bjcfT72xQoU+29Xq+UAggw+IJ6fr+bzXYRxsyGvEbeHERcXFyUgc617/XQK1Wh0lBKfGC7\n",
       "0Ci4gmTKkKF9GosMRPjMAQ7oDFXS4GSRLpWR91lLXfjxM7aCzMdoNGrvkAMQMTe+bPR8Pm+AAp+m\n",
       "SRDh7UdjmhmLmpFxx+H/O4XtTiVz7hFbnctmibgeMYqtHTuj0X1s8L5l0Bh5HLJoJVtvK90nA4v7\n",
       "+/tSYEnw6U7GWR39njmAzMBTvG/5TieV2Rk6NI8OJb6f64lft+uj9nEmguej/hy6eCDl7VMDazVn\n",
       "LckAg94V9Pk23t/+ntl3Zw+yoIPjezwex8XFReN5FvKVAhK9Xq9R9+Cz28Q03N/fl7ZjgLxarcqi\n",
       "U+PxuCzVf/BMxGg0aqw9w40zAAAaE0lEQVTmp2cfaNpJr9crRVURzWlINA4ROaKvDVpul3V+pnwe\n",
       "yXpBiztxH/RyCJmjcqcnccPJz9kA8LwYKXMBskMXOUUxJ5PJJKbTaczn80ZaSCAiA5JE/w7WvE9q\n",
       "OqL3GsAgiGDKiwxVloagXtKYeD9LDwSKaAD9enhuB7scI4xItXJrF0TXzLHlnyN+3qtWsZQRFQjz\n",
       "7bKAIXPGNQCo82cOIBuftfvKJAsQ2oAmI1rXu4itUyU7SQChMSfncejixdUeVfsYimgHgm4DfJz5\n",
       "trV375+IZqrUU3FceMrtD2eYnZ2dxdXVVekbMhDSAbG36kNO09xsNmUxNq6Vk9mt09PTOD8/j+fn\n",
       "55hMJq+e6vnmIGI4HDaetCgWgg/EUgTtK0tmiC+jktuchB/LxVG6MxEsQskMG7+3OaMsinGF5MuV\n",
       "m5EtX8wZyzEfumgARfwEmZqK9OPHj0bVsGpiCAz0vZbuoqPw1JCnz3g9GegjQ8UBzye7cpop522z\n",
       "v2rrVtQYJ78u0ZU0Wi5u1NR+nA1y6KL2amPlNpufTMRsNitV7A4AslqUiG27SGR7uJ0DiQzgaXtt\n",
       "x+0zJ+X3mDkuHoOAgKwn03BctZD70HHRjiiFqHUHDl18ZWNJZiu9zfXZg0wGZzV7rXPUAIP3kc7V\n",
       "xjpzNoX21xiWzSaIUN+LVZCIfRiPx+XZF71er/EQwru7u1gulzsPqWPgI5sgRvi1oPLNQQQbdr1e\n",
       "l7ne6/W6rKq1Xq9LVKq5sDUh8ozI6SkyBzy3MxpZhNGGUDOAIwWiAc9odQdE+sxBkRVC6Z5JU7LY\n",
       "JmKriJo22QUhG6Gnyml6kwZCVvvQZoD1vg9wZc6pBiCYb6T+cB8Hf6SunTlyo+j9zv88fcGIwQGm\n",
       "3gl8BoNBJyrxI7ZTYmvt4ekcPuVTq1jqf44nGusMOPKzg4XMkfh/Egc6Oq6+Z47LhWDZj0fb5jUQ\n",
       "Yp3kTJTK0PayraLMuwAi5vN5mobKAi/9r/aj3YjYTX1k7elBiO/DMV0DGNI/FY2rP6jX2keBs0Dd\n",
       "6elpjEaj6Pf7jWm5fICg0r9HR0dl4TWx+3yxqJYAQu/KBnBWyWvkXUCEU6xCTAISQmIR2zqENmHH\n",
       "ueyLGmroM3NS2WcHKBHb2g0pB+ktKrdHnO7sqLiMaKWAiizZ+YrqBSK6UFjJPiKImE6nMR6PSwrJ\n",
       "p0xp3yxyoNCJ6MW0gher+TU5ZexsU7YdGaEMHPK8fq1ejMXr4aqc2TXo/um4FKV2CUTQ8Dkoi2g+\n",
       "NrvX65WZGnppurDaX/sqCtxstk/1jGjWKUTszprwtmXf0tlrm+yzb7cPCNeAIf/Pru/5+bmkrmgf\n",
       "pJt6bsLZ2VlcXFzE5eXlr3TRu8rd3V1j8TYPqJzVi2iOA9oMjrmsPcnocJtav/JcHPe6Xo31h4eH\n",
       "8kwNB8dHR0cxnU5jOp2WWgiuwsqAQDUMfIDgfD6P2WxWZisp7cE0VkRzmXe9lBngox5eI28OIuT4\n",
       "uP79fD5v3IgiUFZo68YzqSF+p7D4nwOPmgPyger/a5ssumDEqMHt18Pr8Eg1O5e28Yc8SXm90KYL\n",
       "ICIiGkquugjVRkwmk1J0G9GsbeD+DgAp7BduT8fhx3Nw4BRldp5MsmiJBoSGUAPfgaHAAI1b5kRk\n",
       "wLjPcDjcmeJ46FJjijimNJsnYjulU/UREdtKdbUXx1nELu0s8QDBnTlfbUCgZpdcXG/bIlye119k\n",
       "KMlC6L7J9AlA6DHQhy6ajcBULW2pvyJ2x13GYkiyfSOabLbbEP7v4zsb8/RxzoZ++vQpzs7OSvCk\n",
       "MUsALB/IoEqTE/QYCT3U0p/7JB3nGhL6LMZaqeTXzuB6cxChJ3je3NzEjx8/ys2zcfX0zOVyWRph\n",
       "PB7vrSRuQ/muFIxqtG+miH48nidTVt9fEZOiILIJNWVjasIpPDoaRquMSkV1ad2FLonoVuW3Ly4u\n",
       "4u7uLmazWXnIEgdILZLQ94htX/PljEKWznAnI/3z+oe2tRwkmUMgmCB4JDjUdE+CgKxwk+eI2DJ4\n",
       "mm+uh/X8Vevjv7XUUkxMzehFZkcP99M4cIDPtUTYT2SMdC6+U2o6l4EIDxBq9oj7ZDqSTen0vmeK\n",
       "k9S5wBdZPn/+wqGLQOLj42MZg16zxrah7qjdPWgkIPPo232N2wMCdQ8IM1/zEhCh5ay5giTvVbVX\n",
       "0nPNStKD6FT74HaN1+8LUZEx0dLYr62benMLs1gsYjabxc3NTeMlBVGx5e3tbazX60beR8reNrCz\n",
       "iIK/E1k6DVgDEY4+HcFyf8/JcXEandOrczODIWPnxikDET4X3o1sl0SUvUDE5eVlzOfz+P79ewwG\n",
       "g4ZhzCIzRik1EEGKO6LOPul66Gjcie9bEErHz5xD5iQ4jYtMBCMKvmhIvS00ZlR0JQPSBfHoWyL9\n",
       "INP28PAQm82mGNf1el2KBgm+2NZOWWfR5UtYBl1TNlZ9nPs5ssg30w++uL+zUExxCkTINsgmjEaj\n",
       "QplfXFyUtjx0EQDUDAMuolQD7O5II5rtxvFSEwZxTGmyzzPfkU219bRBG4jgJAMBYoGL2WwWi8Ui\n",
       "bm5u4vv373Fzc9NYA0a2yu1jRHOZAv0mYK4ygoMHEV++fCmv79+/x93dXSMP8/z8cwGZXq8XX79+\n",
       "LRWnz8/PjSlczki0ofvab78iZDAyAOFGL4tsPTpxw1FjNhhpCHHSaWw2m4ImVU/QhSiDQiDA3K0e\n",
       "PCNGR8aR7efOXu8yohl7oXPq3cGGH6sWjWTTPqknmc4od83pW85CKXpgQVTGQLB4TPUPqtpWflX0\n",
       "Z5fE+4OPWBcLpAJsRWvKFT88PDSYIzpisYI8hz7zvU2yoIP704Bnwcm+YMSBJsc6z6VtVAfBFIb0\n",
       "cDAYFAaCD2/yGXCHKmdnZ7FYLBpM5OPjY7pWS5YGy/o3Y3XIUK7X60YQqOOQ6XRAErEtaNZ2PgvM\n",
       "7Y/28TQnRXZis9nEfD4v6yotFosCFqkjTOPxWhmMsD08lfoaeXMQ8fvvvxcQwRwOB4/YiK9fv5bG\n",
       "GAwGcXl5WYxCxO5Az4x2tt2flYy2coWQIWctQ+aUjo6OGhGKO0KPsP07I1WnzmRkNUWyK3PAJd5O\n",
       "w+GwgIjT09M4PT2Np6enYkwy4JY5ef3Od69tqNU/8HdeoxsPbifD5uyURL975PgrIILnIKAhmJxM\n",
       "JiViXy6X79KXf6UQpPEZK/qNU2rpGJVHHw6HBbxnToWR5UtthY9P1ycdmxEh9dRBRxsTwYp5Z9ki\n",
       "ttS9ryVA3VEa4/LyskGZc22JQ5bT09N4fn4uMxDU9nyKJdvbgwzvGwmdqgAIdUXfWY8VkddU8dgc\n",
       "n9ovAxCuR56e1ksAcbVaxd3dXUlhrFar0t8smnY75UCIv0U017A4+JqIb9++lVqIu7u7hsJHbGmr\n",
       "5+fnmM/nJY83n8/j/v6+TPesKYUkixAcffJ3T29kxoDH9nM58vVj+z6ZoXDKMjt2bQlVveh4VcHb\n",
       "JaGTV9/LGU6n0/KwNil6DeFnTELtVQMR7lwyAJHRzDRIzjp5n2cFsjwOC6BqLIQABOsFOMNlMpk0\n",
       "lhLvgmR9ydwtH38s/WB0LWeqY3lEr9/ZzxG7xr/NJvBaa3aF+7yEjSDg4CwiMqA8Ju9L0aqcCVeB\n",
       "PT09LYyeamSYDjh0UX2X6qIYmatuSP2YgbZ9IILggUCEM7IY5WepDJ1Hx9U1eI2TvxwEcnqm/tdE\n",
       "BL643LszEQ6OvZiSfU+7oPt+jbw5iLi5uSlTURRNe+eyI7JiMzf4NQPPY1Hc+TqF5cfymSE+2DnA\n",
       "/ZwZw5Ddk2/DTu31ejvbUuF7vV5B5JPJJM7Pz+P8/LzkhLsijtyV/9Yy2ErPyJBkzrTGSvggylIS\n",
       "3udtoIMggnSl34tHGWSS2qZyUu+yPGxENMC3thcTdXZ2Fufn541lc5lKO3Rxw+ygTgzEyclJnJ+f\n",
       "x/X1daHph8Nh3N7exu3tbVmcxwvZdA7qhgcZHrFlNqd2zZQ2EOH7knnwIuIsepTzYR1NxHZmisC3\n",
       "64NH712Qk5OTmE6n0e/3Sxrc68d8/Q+39TXwp74X+GdbaxxyjPr+LmQbBXh8TR8Gj/1+P1arVRwd\n",
       "HZVC8n6/3+hbvjxFwumcBAfO0nFxPN2bAJrYltfaiDf3OD9+/Ij5fB7L5bJRCMJ3SWZ4VZ1LI03D\n",
       "6vRUbZBQQZT70vm4PZVI4hHoPrYjS08wyiAapbHguUR7u0GJ2M4AURGdQESXqvEpagfR1yoII4hg\n",
       "3o7gK4sIOTXK0wKZ7mXAIWMCyJoRhOqaJE5L1wyKG7wagKATEZCQDouJ0swW1UNonHQFRGTsDvtA\n",
       "/TkcDuP8/Dz+/ve/x9XVVZka/OXLlzg+Po6bm5tGVEfjq+OqWI90L8+dsZVZZNsGIHybzNHVWCpt\n",
       "QyCj32QXVXCsWg8VytEeKC3oBYldABGbzc96L7WnivD5QDamZmrMQxbg6XcHkHrXjIgs4GW/6Dv9\n",
       "A9fyIQBwBpr9IfZos9kUZoJ6wyn9zlzRz+jayeLQDqq9WF8kW/IaeXOPwwv2HI6/j8fjuLq6ir/9\n",
       "7W9xdXUVFxcX5VHhGeXiaQN2uA+UjIJipJHRqdm+LlQmbsuO9s6nA9E+6kwqo4MRnev4+LjQlefn\n",
       "5418ZxekFjnoO42qg0Yad26bGRF+9u0otdQGCyalI4wWvX8Ifln3IMPHe+Ug1m/ZzA+2CVkoAkit\n",
       "QsgCOqUNu1JYyfbnE17VRkpjnJ2dxeXlZXmJtRLIHA6HpRCNOWS1PSv+PY2V2YWMicjYTr8Xd/4S\n",
       "BxDOmBDs8Ly0C6yjYQ2E1oMQeNDaA11jICK2M13ItkVEofm5CqSEtkGpCdqNzAdwX7fhPJ5+9/o8\n",
       "Z5tZrJgFjrRD2l+2ZbFYpAwYbYsvRkVWWjVxSl35Ql1+v2rn1z5f581BxHg8jsVi0UD+EXmF/GQy\n",
       "ic+fP8c//vGP+O233+Ly8jI2m00xBDXJFGNfROD0lUeGdMikkCjORDiAcPToL7++rAbCUWK//7N2\n",
       "4PT0NH777bcy91vzjPcZuEOQbLByUDEqY/5f4qwN+8Xblg6YBoXi9LWclq85HxHpWh163wciCAT8\n",
       "XtyZOQPBqJlTYgUi5Dh0jC6CCE49YyRFECHwcHV1Fefn540FqLTeiIBUr9fbYfSyHDWvQe/ORtAB\n",
       "16JeioNAjuXMPtTSchwXZGeZvxegzOogfCaDzn/owmm5mrbOxdfkE1gHw3aTTWf/ZcyDPme22fuZ\n",
       "zKPO6WAwq3/w7zrGer0ufXl/fx/z+bxMzxYL48EL2ScBbhUeawEprmzJa81A1NPT65/0++YgYjKZ\n",
       "lKWt2agRTUeufN5vv/1WqMrT09OypCfrELJB4HRojU3whvRog/tTefhb9soAhCuOMxAuGU1FZRct\n",
       "JepabSRj0QXjEFGf6ibKUtOZZrNZmbnjjATbmtXbzvjIGLkhldCJ02lwbjpp0yxydBDBGRi+tGyW\n",
       "dnOH5RGv9EDpHkWczkJoZg7TKF15iqfndP2hZqLqdb8qIOVaGD4nXsbZ5+qTieDshxqzmTEQWTDg\n",
       "3wkCqeeZ48lARAasWUzHFAZnNWkFYLIQXQIQEbEzXuRU3TlHbFc71fb9fr/BRNBuRESjrzP7zd/5\n",
       "v7PptNdeFOtphyyNLTAgR75arSJia+ed0eb+ztoJSKgIWdftASnB2adPn8qDu14jbw4iLi8vY7Va\n",
       "xWKxiM1mUwCBhFHf2dlZ/P3vf4//+q//Kjl+zu+u5cF1nJpICZwR0H8ZrZkBCo9Q6OTd+Tty9GI6\n",
       "DuoaS+EgS9X3l5eXcX19Hefn56WIzgFHl0RAYD6fxx9//BH//ve/45///Gf8v//3/4oTiIiSAmBU\n",
       "xz7lYDs6OmrU07gj2Bd1yqkxxaDzuVOgUfB6Hk9jkP1yEKHPmY6LfRCd//nz57i+vo7Ly8s4Ozsr\n",
       "KS2dU0apK1M8uSKo+llGkrNPVEDMaIsvOVUZUEV6mlruhXlcnEo0M+tOPBiR0J64g870w+sf/EWg\n",
       "SKfnDkpt1e/3S90Q11YZj8clhZwB567YCNpLjjGlbnhf0nWmCTw16eA9CxzZZ+oTfV+v1zvTY5mu\n",
       "ztIWWb9Tb3Repjioo/qfdRVkXLzmS/fAuhouD6DjDQaDwuRI514jbw4iuIyxboZFcupkrZ4lEKGC\n",
       "Ot0oDWtGS3nUxt/l8B1I6H/O1sgARJYv1bncgdVAhE/no2QggueWcT07O4vPnz+XepHz8/PO1EHU\n",
       "hGzCfD6Pr1+/xv/+7/8WEMFIRMZT/eRgQoaBM3oi8vSF3t2w8DujVeVCs+hT77U+58AnKGFRmLeH\n",
       "OyLlPPXI4N9++y2urq7KOgCKQAgiNDWsC0LmgYZR0TaXRZ9MJg0QwbY9OTmJfv/n1Oenp6fypE/Z\n",
       "HAGLiCiRpSLXiN16KToliqcZ6YRc3JFk0amOQV2UTnE72gMV1HJdFRUms96G0pVgw9PAumZPL9Lh\n",
       "03k6q5jVwHC8s989laz+qoGILIXhwU3GXOpan56eCpjlGhDaxoPQiO2qk1z7w699vV43nqmi6+FK\n",
       "wDrGa+TNQQQVXUZVN+SDR1Stqsu1wAajOY/SqQBesMI6jCy6c4NBQ5Hl0b1OQu/7og3RT9wv+0zl\n",
       "12BR4ZjywVdXVyXiyBxbFwwEAZ8MPVmIf/3rX/Hly5f49u1byXkLQdPQcsAwciQFWetzfa6BiMzp\n",
       "O90t0W8Zpcnz1KZu6hgZuCWAvL6+Li+lsryoVnUQcp6iSA9dsmLSiC0Do1kYzPU7A+BjR4WniuSY\n",
       "GlOEpnbz8UMdEvvllHgNNHhgUWMgMiep/R106L5EXQtUiZ1kQR3Bj0vbdR+SsHhZ4mNV/kLtqGUE\n",
       "xHazdiBjJhxM1NgJpgB8zDoodKDgwWv2PwNYPaRyvV6XvmQqjqwngZIYC6bQ1ut1manEgIbP83Bg\n",
       "9CvybiBCg1mr6LmB7fW201OOj4/Lg0YURWRGNmJLW3FgaNCRgvLB44oiJSGT4CDDQQSj4RoqZYTD\n",
       "ugUqkL5zOzlPRV+KOEVd1yLjLoAI9U3ET2OhdeG/fPkS//rXvxoggs+ByKJFgkY3jgR1GaVLHXJQ\n",
       "SsPC6KfWvu40eK8141U7BseDiqWUwvjtt9/i+vo6Li4uGo6DBk8sRNdARNa2agMtQiYWIgPlHgyM\n",
       "x+M4Pz8vzMzd3V0BEgIRDgz0kq5pfHnKkLqXsVP7Agt9z4TOSS9OfdZaEP4AJ7XLPhvQBRuRgYiI\n",
       "LXPd620fuMbf7+7uGikB2XYHE84I6kUWWIGJjp8Fmv7KWOWaPnC861r1lGv1uVL6DlIy0Engq239\n",
       "wWwCEVottxMgQvnM6XQai8Ui7u7uSsMw8ibSPjk5KaiSaQCJsxjumNX5nnvi/lmEymNx/xotmNGU\n",
       "jkrVuQ4gMqdHZdeUrYuLi5LCEEtzfHy8A6pq13moonZarVYxm83ijz/+iC9fvsS///3v+P333+Pb\n",
       "t28xm82KM6W+RDSnWEXsrh2hgeR0McUdQvZyEFEz0h5xeISTFfJluktAyyXNVQejVJaoa38WAlMZ\n",
       "q9WqU4WVWdpQ0aaeDSMA7REh91HbDofDomfL5TLu7u4i4ueThaUbSpcSFHhwwD71bXV+H8vUwQxA\n",
       "7LNNPJ50QXUhCiYErAQeup7apGi8u51kCpAOUH2jPtWYdzbYGUZPnWXTYemnMued2Z5sXEfkwIPH\n",
       "WywWcXx8HOv1OkajUWFUspoL9z88h66JgEHnYJ3EX7G20JuDCCmDqt1VKKWByk5Vh5KmEiPh1J8P\n",
       "ZAcAUhoXZwB0DC9w0nHU+N6RXFTE13Sg0PC4YfLO1/0PBoPy1D1V3p+enqYd7ka3C0CChX8/fvwo\n",
       "4OHLly/xxx9/xM3NTUljsU90j9QD1khE5NXvDkJd3IE4Q0HE7tFI7Xg8FqMY6oIbGp1TUSefvkjw\n",
       "wBUIPTKSEVVBalemeLJ9ZCsEojj7xFkh9rtEba7pb2rHp6enRvQasa2RcHsiZyLKV5R2G5CgOIhw\n",
       "QKJ7zvbhNYhhEOsgNmY6nTZAJO1fF2zAPvGUYEQzDUr2gAyMgg6tFeILVFHH+v3twmPZ8tDe1xnb\n",
       "5OCB/1Fq2/u+y+Uy+v1+w8+oHeiDTk5OUoaC+iXAoDbUfyzi1Gy418i7gIiI7RQuMQ0yeESULKRS\n",
       "SkLH4HxgSlsEwRyShJ3p9CWZB/6ma2AnegU+I2IfzBzk7GyPSo6OjgpdKeqaS/vyHnWumgM8ZBED\n",
       "cXd3F9+/fy9pjN9//z3++OOPuL29bSwoQ6PL2RkEEs7ycPB5ykhCMCLJ2AmyCG1pDRooggf/7OfX\n",
       "Z51PIFoMhJgoLijluW8dS2NFudCugQi1s4MIzkDJGCMCSR1HMxQimk/x5LhVkaWPHdoHz59ngFBC\n",
       "gMix7qkuZ9RqUbfqQdQGmr7Jpc15jJeMfx8Hhygcv+7I1Ya6f9H+nA4snaCdjtgtlnffkz23JquT\n",
       "8P6lZO1LsOBAgscRS8bFtHQ83Yv8kPyk6xltSQZa1C79fr+AltfIu62RnA38zGDTcLOeIRusbVJD\n",
       "hRldmG3nx8g6K6Oj2u4/2y6LoMjIcHBk1+jn6AKIIIhSJOhLQ7tB9UHM37Lj6/0l0QGNrz5zILqj\n",
       "qulizYg7SKnpGbehHmQLX2VAxg1FljI7VPE2ovN28PYSPfdj+PK/Dr5qkaH61NOntTHcdkxuW9MJ\n",
       "/k89yJxcDci0SVf0gZKND/8sn8Gx4gCLoiCVY5qghf+xT2pAoHa9bTYq0wtPfbFuJktjtKVHaufZ\n",
       "B4L+rPTeUql6vV73NPb/iGw2m4NEEx868Z+RQ9WHiA+d+E/JoerEhz78Z+RX9eFNQcSHfMiHfMiH\n",
       "fMiH/N+V7jyR5UM+5EM+5EM+5EMOSj5AxId8yId8yId8yIf8knyAiA/5kA/5kA/5kA/5JfkAER/y\n",
       "IR/yIR/yIR/yS/IBIj7kQz7kQz7kQz7kl+T/A7SpyMCxGMJQAAAAAElFTkSuQmCC\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4ef59d9f28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": [
       "iVBORw0KGgoAAAANSUhEUgAAAJYAAACfCAYAAAAbDiAqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n",
       "AAALEgAACxIB0t1+/AAACI5JREFUeJzt3V+IXOUZx/Hvr0ksBEzTsBBoogTqYrVgmhQ12pZuaaFr\n",
       "LiykUElai1pqbmJ7U1rjRRMvbPFGRCxB0hq80gstNJaQ0hIXRZLYlGRdq5YktZA0EkyqodhAE3x6\n",
       "cU5wO9mdOTPzPpud3d8HFubPm2df9vxy5t2z5zlHEYFZaZ+40hOwucnBshQOlqVwsCyFg2UpHCxL\n",
       "0TFYkp6WdFrSRJsxT0g6Kmlc0pqyU7RB1GSPtQsYne5NSeuB6yJiGLgf2FFobjbAOgYrIl4B3m8z\n",
       "5E7gmXrsQWCppOVlpmeDqsQaawVwYtLzk8DKAnVtgJVavKvluf9ONM8tLFDjn8A1k56vrF/7P5Ic\n",
       "tgEVEa07jo5K7LF2A98HkLQO+CAiTk81MCJU+gt42HVT6/ak4x5L0rPAV4EhSSeAbcCiOihPRcQe\n",
       "SeslHQM+BO7tdTI2d3QMVkRsbDBmS5np2FwxF468j7luat2eaKZO9JMU/Xxm25XR63abC3ssm4Uc\n",
       "LEvhYFkKB8tSOFiWwsGyFA6WpXCwLIWDZSkcLEvhYFkKB8tSOFiWwsGyFE0aVkclvV03pP5siveH\n",
       "JO2VdETSG5LuSZmpDZS252NJWgD8DfgGVYPEn4GNEfHWpDHbgU9GxFZJQ/X45RFxsaWWz8caQFnn\n",
       "Y90CHIuIf0TEBeA54FstY94FltSPlwBnW0Nl80+nc96naka9tWXMTmCfpFPA1cB3yk3PBlWnPVaT\n",
       "85YfAo5ExGeALwC/knR13zOzgdZpj9XajHoN1V5rstuBRwAi4rikd4DrgUOtxer12CVjETHW5Xwt\n",
       "maQRYKTvOh0W7wupFuNfB04Br3H54v0x4FxEPFxfDOQvwE0R8a+WWl68D6Bet1vbPVZEXJS0BfgD\n",
       "sAD4TUS8JWlz/f5TwC+AXZLGqT5af9oaKpt/3P5lbbn9y2YVB8tSOFiWwsGyFA6WpXCwLIWDZSkc\n",
       "LEvhYFkKB8tSOFiWwsGyFA6WpXCwLIWDZSkcLEvhYFmKvjuh6zEjkg7XndBjxWdpA6dEJ/RS4FXg\n",
       "mxFxUtJQRJyZopZPTR5AV7ITehPwQkScBJgqVDb/dArWVJ3QK1rGDAPLJL0k6ZCku0tO0AZTp4bV\n",
       "Ji08i4C1VL2Hi4H9kg5ExNHWgW5Ynf1KNayW6IQ+AZyJiPPAeUkvA6uBy4IVEdt7n6rNhPo/+9il\n",
       "55K29VKn00fhIWBY0ipJVwF3Ud2qd7LfAV+WtEDSYqqLhrzZy2Rs7ui7Ezoi3pa0F3gd+AjYGREO\n",
       "1jznTmhry53QNqs4WJbCwbIUDpalcLAshYNlKRwsS+FgWQoHy1I4WJbCwbIUDpalcLAshYNlKRws\n",
       "S+FgWYoiDav1uJslXZS0oewUbRC1DVbdsPokMArcCGyUdMM04x4F9gI+S9SKNKwCPAA8D7xXeH42\n",
       "oPpuWJW0gipsO+qXZuYkepvVSjSsPg48GBEhSbT5KHTD6uw3U3dYXQdsj4jR+vlW4KOIeHTSmL/z\n",
       "cZiGgP8AP4yI3S213KUzgHrdbn3furdl/C7gxYj4bakJ2pV1JW/da3YZN6xaW25YtVnFwbIUDpal\n",
       "cLAshYNlKRwsS+FgWQoHy1I4WJbCwbIUDpalcLAshYNlKRwsS+FgWQoHy1I0ClanplVJ35U0Lul1\n",
       "Sa9Kuqn8VG2QdDyDtOFdVm8D3oyIc5JGqRow1rXU8RmkAyjzDNKOTasRsT8iztVPDwIru52IzS1N\n",
       "gtXkLquT/QDY08+kbPB1aliFLjqbJX0NuA/4Us8zsjmhSbCa3GWVesG+ExiNiPenKuRO6NlvRjqh\n",
       "62/UsWlV0rXAPuB7EXFgmjpevA+glIZVaNy0+nPg08CO6vINXIiIW7qdjM0dbli1ttywarOKg2Up\n",
       "HCxL4WBZCgfLUjhYlsLBshQOlqVwsCyFg2UpHCxL4WBZCgfLUjhYlsLBshQOlqUocodVSU/U749L\n",
       "WlN+mjZo+r7DqqT1wHURMQzcz8f3LZwR9cn/rptUt1cl7rB6J/AMQEQcBJZKWl58ptMbcd3Uuj3p\n",
       "+w6r04xxJ/Q81ylYTTstWk+29+1757lO7V9NmlVbx6ysX7uMpJTASdrmunl1e9EpWIeAYUmrqJpV\n",
       "7wI2tozZDWwBnqtv9ftBRJxuLeTWr/ml7zusRsQeSeslHQM+BO5Nn7XNejPWsGrzS/Ej71kHVLOu\n",
       "KthkvvW4myVdlLShVF1JI5IOS3pD0liJupKGJO2VdKSue0+Dmk9LOi1pos2Y7rZZRBT7ovq4PAas\n",
       "AhYBR4AbWsasB/bUj28FDhSqexvwqfrxaKm6k8btA34PfLvQfJcCfwVW1s+HCtXdDvzyUk3gLLCw\n",
       "Q92vAGuAiWne73qbld5jZR1QzbqqYJP5AjwAPA+816Bm07qbgBci4mQ9/zOF6r4LLKkfLwHORsTF\n",
       "dkUj4hVgyktP1breZqWDlXVANeuqgh3rSlpBtfEu/amqyaK0yXyHgWWSXpJ0SNLdheruBD4v6RQw\n",
       "Dvy4Qd1evm/bbdbkwmvdyDqgmnVVwSZ1HwcejIhQdY2mJodNmtRdBKyluu7YYmC/pAMRcbTPug8B\n",
       "RyJiRNJngT9KWh0R/27wb9vpapuVDlbRA6pd1m10VcEe6n6R6hgdVGuWOyRdiIjdfdY9AZyJiPPA\n",
       "eUkvA6uBdsFqUvd24BGAiDgu6R3geqpjkr3qfpsVXrwvBI5TLS6vovPifR3NFtlN6l5LtbBdV3K+\n",
       "LeN3ARsKzfdzwJ+oFuSLgQngxgJ1HwO21Y+XUwVvWYM5r6LZ4r3ZNisZrPob30F1acljwNb6tc3A\n",
       "5kljnqzfHwfWlqgL/JrqN6DD9ddrpebbbbC6+Dn8hOo3wwngR4V+DkPAi/XPdgLY1KDms1R/Wfkv\n",
       "1Z70vn63mQ+QWgqfmmwpHCxL4WBZCgfLUjhYlsLBshQOlqVwsCzF/wCgFhEWvM9/hgAAAABJRU5E\n",
       "rkJggg==\n"
      ],
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f4efd1c4470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_gallery(images, titles, h, w, n_row=3, n_col=4):\n",
    "    \"\"\"Helper function to plot a gallery of portraits\"\"\"\n",
    "    plt.figure(figsize=(1.8 * n_col, 2.4 * n_row))\n",
    "    plt.subplots_adjust(bottom=0, left=.01, right=.99, top=.90, hspace=.35)\n",
    "    for i in range(n_row * n_col):\n",
    "        plt.subplot(n_row, n_col, i + 1)\n",
    "        plt.imshow(images[i].reshape((h, w)), cmap=plt.cm.gray)\n",
    "        plt.title(titles[i], size=12)\n",
    "        plt.xticks(())\n",
    "        plt.yticks(())\n",
    "\n",
    "\n",
    "# plot the result of the prediction on a portion of the test set\n",
    "\n",
    "def title(y_pred, y_test, target_names, i):\n",
    "    pred_name = target_names[y_pred[i]].rsplit(' ', 1)[-1]\n",
    "    true_name = target_names[y_test[i]].rsplit(' ', 1)[-1]\n",
    "    return 'predicted: %s\\ntrue:      %s' % (pred_name, true_name)\n",
    "\n",
    "prediction_titles = [title(y_pred, y_test, target_names, i)\n",
    "                     for i in range(y_pred.shape[0])]\n",
    "\n",
    "plot_gallery(normalize(X_test), prediction_titles, h, w)\n",
    "\n",
    "# plot the gallery of the most significative eigenfaces\n",
    "\n",
    "eigenface_titles = [\"eigenface %d\" % i for i in range(eigenfaces.shape[0])]\n",
    "plot_gallery(eigenfaces, eigenface_titles, h, w)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "annotations": {
   "author": "",
   "categories": [
    "intelligent-systems-1-2015"
   ],
   "date": "2015-07-09",
   "location": "Beginning of next lecture",
   "parent": "IS_SS2015",
   "submission_date": "2015-07-16",
   "subtitle": "Exercise Sheet 10, Principle Component Analysis",
   "tags": [
    "IntelligenSystems",
    "Course"
   ],
   "title": "Intelligent Systems 1 - Summer Semester 2015"
  },
  "celltoolbar": "Edit 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": "3.4.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}