11. More Clustering.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "___\n",
    "\n",
    "# More Advanced Clustering Demo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this demo, we will step through different algorithms and see performance on different 2D data sets.\n",
    "\n",
    "Some code was manipulated from \n",
    "- http://nbviewer.ipython.org/github/mgrani/LODA-lecture-notes-on-data-analysis/blob/master/2.ML-and-DM/2.ML-and-DM-Clustering-with-scikit-learn.ipynb \n",
    "- and also taken from sciki-learn's online documentation and example tutorials, http://scikit-learn.org/stable/index.html."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# getting things started\n",
    "%matplotlib inline\n",
    "\n",
    "import time\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# generate some sample data\n",
    "n_samples = 1500\n",
    "np.random.seed(0)\n",
    "\n",
    "X1 = np.array([[1.0,1], [1,2], [2,1], [2,2], [3,1], [3,2], [4,1], [4,2], [5,1], [5,2]]) # cluster prototypes\n",
    "X1 = np.repeat(X1, 150, axis=0)\n",
    "X1 += .2 * np.random.randn(X1.shape[0],2) # add some randomness\n",
    "\n",
    "plt.figure(figsize=(15,5))\n",
    "plt.subplot(1,2,1)\n",
    "plt.scatter(X1[:, 0], X1[:, 1])\n",
    "plt.grid()\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(X1[:, 0], X1[:, 1], 'r.', markersize=2) #plot the data\n",
    "plt.grid()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This data should be relatively easy to cluster. The density of each cluster is constant and it has ten distinct clusters. There is some overlap, but by and large, the overall clusters are visually obvious."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Generate some harder sample data\n",
    "t = 1.5 * np.pi * (1 + 3 * np.random.rand(1, n_samples))\n",
    "x = t * np.cos(t) / 10.0\n",
    "y = t * np.sin(t) / 10.0\n",
    "\n",
    "X2 = np.concatenate((x, y))\n",
    "X2 += .07 * np.random.randn(2, n_samples) # add some randomness\n",
    "X2 = X2.T # and transpose it\n",
    "\n",
    "# and then lets plot it\n",
    "plt.figure(figsize=(15,5))\n",
    "plt.subplot(1,2,1)\n",
    "plt.scatter(X2[:, 0], X2[:, 1])\n",
    "plt.grid()\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(X2[:, 0], X2[:, 1], 'r.', markersize=2) #plot the data\n",
    "plt.grid()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This data set is more difficult to cluster as it has a differing shape constraint. However there is very little overlap between the clusters so it is quite distinct and visually obvious."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X3 = np.array([[0.75,0.75],[0.75,0.75], [1,2], [2,1], [2,2], [3,1], [3,2], [4,1], [4,2], [5,1], [5,2]]) # cluster prototypes\n",
    "X3 = np.repeat(X3, 150, axis=0)\n",
    "X3 += .1 * np.random.randn(X3.shape[0],2) # add some randomness\n",
    "X3[0:300] += .3 * np.random.randn(300,2)\n",
    "\n",
    "Xtmp1 = X3[0:750] + .4 * np.random.randn(750,2) # create some spread in the points\n",
    "Xtmp2 = X3[0:750] + .4 * np.random.randn(750,2) # create some spread in the points\n",
    "X3 = np.concatenate((X3,Xtmp1,Xtmp2)) # and add them back in for differing density\n",
    "\n",
    "\n",
    "plt.figure(figsize=(15,5))\n",
    "plt.subplot(1,2,1)\n",
    "plt.scatter(X3[:, 0], X3[:, 1])\n",
    "plt.grid()\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(X3[:, 0], X3[:, 1], 'r.', markersize=2) #plot the data\n",
    "plt.grid()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here also the clusters are visually obvious, but the density of each cluster is now different. Some clusters contain many points, while others contain a fraction of the number of points. Also, the first cluster has double the number of points than other clusters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 2.63 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "from sklearn.neighbors import kneighbors_graph\n",
    "\n",
    "# create connectivity graphs before calcualting the hierarchy\n",
    "X1_knn_graph = kneighbors_graph(X1, 5)\n",
    "X2_knn_graph = kneighbors_graph(X2, 5) \n",
    "X3_knn_graph = kneighbors_graph(X3, 5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "___\n",
    "# Gaussian Mixture Models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# this code has been manipulated from the source available on sklearn's website documentation\n",
    "import itertools\n",
    "\n",
    "import numpy as np\n",
    "from scipy import linalg\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "\n",
    "from sklearn import mixture\n",
    "\n",
    "X = X3\n",
    "\n",
    "\n",
    "lowest_bic = np.infty\n",
    "bic = []\n",
    "n_components_range = range(7, 17)\n",
    "cv_types = ['spherical', 'diag', 'full']\n",
    "for cv_type in cv_types:\n",
    "    for n_components in n_components_range:\n",
    "        # Fit a mixture of Gaussians with EM\n",
    "        gmm = mixture.GaussianMixture(n_components=n_components, covariance_type=cv_type)\n",
    "        gmm.fit(X)\n",
    "        bic.append(gmm.bic(X))\n",
    "        if bic[-1] < lowest_bic:\n",
    "            lowest_bic = bic[-1]\n",
    "            best_gmm = gmm\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Bayesian information criterion is explained in the documentation of sklearn as a comparison technique that penalizes fitted GMM models based upon the number of parameters in the models. The classical definition of the BIC is:\n",
    "\n",
    "$BIC=\\underbrace{-2\\ln(l)}_{\\text{better fit==more negative}}+\\underbrace{k\\ln(N)}_{\\text{more complex==more positive}} $\n",
    "\n",
    "where $l$ is the likelihood of the GMM model given the observations, $k$ is the number of clusters, and $N$ is the number of instances in the dataset. In sklearn, the value of $k$ is also determined by the number of parameters in the Gaussian mixtures (i.e., the number of parameters to estimate including the the covariance matrix). In this way, the second parameter penalizes more complex models by adding to the BIC. \n",
    "\n",
    "In code, sklearn uses:\n",
    "`return (- 2 * self.score(X).sum() + self._n_parameters() * np.log(X.shape[0]))`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# this code has been manipulated from the source available on sklearn's website documentation\n",
    "# plot the BIC\n",
    "bic = np.array(bic)\n",
    "color_iter = itertools.cycle(['k', 'r', 'b', 'g', 'c', 'm', 'y'])\n",
    "clf = best_gmm\n",
    "bars = []\n",
    "\n",
    "plt.figure(figsize=(10,4))\n",
    "spl = plt.subplot(1,1,1)\n",
    "# Plot the BIC scores\n",
    "for i, (cv_type, color) in enumerate(zip(cv_types, color_iter)):\n",
    "    xpos = np.array(n_components_range) + .2 * (i - 2)\n",
    "    bars.append(plt.bar(xpos, bic[i * len(n_components_range):\n",
    "                                  (i + 1) * len(n_components_range)],\n",
    "                        width=.2, color=color))\n",
    "plt.xticks(n_components_range)\n",
    "plt.ylim([bic.min() * 1.01 - .01 * bic.max(), bic.max()])\n",
    "plt.title('BIC score per model')\n",
    "\n",
    "xpos = np.min(n_components_range)-0.4 + np.mod(bic.argmin(), len(n_components_range)) +\\\n",
    "    .2 * np.floor(bic.argmin() / len(n_components_range))\n",
    "plt.text(xpos, bic.min() * 0.97 + .03 * bic.max(), '*', fontsize=14)\n",
    "spl.set_xlabel('Number of components')\n",
    "spl.legend([b[0] for b in bars], cv_types)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAe8AAAEICAYAAAB2yHz3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzsvXl4VNeZ5/85pRJVpaW0CwkEQiBhEAIjy2DiGNsxJBCZdNomYdStdmJ1JzD2uNt40jOm4/6lycwTD5nudOT80k5EJkOchG5FCSHdJsTEdru9BJtFLJbAmH3RvqskUVVSSXf+OHWvrkpVUgmEFjif59FTVbfOPffcW6X63nc57xGapqFQKBQKhWL6YJnsASgUCoVCoRgbSrwVCoVCoZhmKPFWKBQKhWKaocRboVAoFIpphhJvhUKhUCimGUq8FQqFQqGYZijxViimCUIITQiRPcljeFII8d5kjkGhUCjxVigmFCHEA0KIg0KITiFEmxDiD0KIFRN4/P8QQnzlFvY/QwjxDSHEx0KIHiFErRDid0KIz5jaXBZC9AohkgP2PeG/QZnnf/0T/+s/CmhX6t/+5K06D4ViqqPEW6GYIIQQTmAf8P8DicBs4JuAdzLHNc78Cvg88CUgAcgCXgIeDWh3CfgT/YUQYingCNLfWeDLpnZW4IvAhXEdtUIxzVDirVBMHAsBNE37F03T+jVNc2ua9ntN0z7UGwgh/lwI8ZEQol0IcUAIkRmsIyGETQjxD0KIq0KIRiHED4UQDtP7n/dbsi4hxAUhxHohxLeA1cD3hRDdQojv+9suEkK87vcEfCyE2GTqJ0kI8W/+fg4DC0KdnBBiLfBp4POaph3SNK3X//eapmnPBjT/GVLgdb4M/DRIt68CnxRCJPhfrwc+BBpCjUOhuBNQ4q1QTBxngX4hxCtCiM+aBAkAIcQfA18HHgdSgHeBfwnR17eRNwPLgWykFf8Nfz8rkUL434B44EHgsqZpL/j7fEbTtBhN054RQkQDrwP/DKQireGXhRBL/Mf5J8ADpAN/7v8LxVrgkKZpNWFciw8ApxBisRAiAvhPwM+DtPMA/wYU+V9/ieAir1DcUSjxVigmCE3TXMADgAb8CGj2W7Uz/U22AP9L07SPNE3zAS8CywOtbyGEAL4KPKdpWpumaV3+trrA/QXwfzVNe13TtAFN02o1TTsTYlgbkMK+S9M0n6Zpx4A9wBf8oroR+IamaT2aplUDr4xwismYLGIhRKIQosMf3/cEaa9b358GzgC1Ifr9KfAlIUQc8BDwmxHGoFDcESjxVigmEL8wP6lpWgaQB8wCSv1vZwIv+QWvA2gDBNKqNpMCRAGVprav+bcDzCH8mHAmcJ/ej7+vYiDN358VuGZqf2WEvlqRFrp+rm2apsUDBYAtSPufAX8KPMkI1rSmae/5x/K3wD5N09xhnJdCcVujxFuhmCT81vBPkCIOUiS3aJoWb/pzaJp2MGDXFsANLDG1i9M0LcbUT6jYdOAygteAtwOOGaNp2lNAM+BD3gzozB3hlN4EVgghMkZoMzgQTbuCTFwrBH49SvOfA19DucwVCkCJt0IxYfgTw76mi5sQYg4yxvyBv8kPgb/R481CiDghxBcD+9E0bQDpdv+uECLV33a2EGKdv8mPgRIhxBohhMX/3iL/e43AfFN3+4CFQognhBCR/r8VQojFmqb1I0V1uxAiSgiRiynzO8i4fg+8BfxGCHGff9pYJLBqhMvyF8Ajmqb1jNAG4HtI9/o7o7RTKO4IlHgrFBNHF3AfcEgI0YMU7WqkRYmmaXuRiWjlQgiX/73PhujreeA88IG/7RvAXf5+DgMlwHeBTuBtpHsc5LStL/iz2b/nj5d/Bhkvr0PGrL/NoJv7GSDGv/0nwK5RzvFx5A3Bz4EOpGVdjMwSH4amaRc0TTs6Sp+6C/5NTdMCPQcKxR2JUP8LCoVCoVBML5TlrVAoFArFNEOJt0KhUCgU0wwl3gqFQqFQTDOUeCsUCoVCMc2wTvYAQpGcnKzNmzdvsoehUCgUCsWEUVlZ2aJpWspo7aaseM+bN4+jR0edQaJQKBQKxW2DEGKkKoYGym2uUCgUCsU0Q4m3QqFQKBTTDCXeCoVCoVBMM5R4KxQKhUIxzVDirVAoFArFNEOJt0KhUCgU0wwl3gqFQqFQTDOUeCsUCoVCMc1Q4q1QTBNcLti5Uz5ONlNpLArFnYgSb4VimlBeDlu2yMfJZiqNRaG4E5my5VEVCsVQioqGPk4mU2ksCsWdiNA0bbLHEJR7771XU7XNFQqFQnEnIYSo1DTt3tHaKbe5QqFQKBTTDCXeCoVCoVBMM5R4KxQKhUIxzVDirVDcRqgpXArFnYESb4XiNkJN4VIo7gzUVDGF4jZCTeFSKO4MlHgrFLcRTids3jzZo1AoFLeam3abCyHsQojDQoiTQohTQohvBmljE0L8QghxXghxSAgx72aPq1AoFArFncp4xLy9wCOapt0NLAfWCyFWBbT5C6Bd07Rs4LvAt8fhuIppjsvrYmflTlzeicmumujjKaYmKqlPcTtw0+KtSbr9LyP9f4Fl2z4PvOJ//itgjRBC3OyxFdOb8upytuzbQnn1xGRXTfTxFFMTldSnuB0Yl5i3ECICqASygX/SNO1QQJPZwDUATdN8QohOIAloCehnM7AZYO7cueMxNMUUpiivaMjj7XY8xdREJfUpbgfGtba5ECIe2Av8paZp1abtp4B1mqbV+F9fAFZqmtYaqi9V21yhUCgUdxqTUttc07QO4D+A9QFv1QBz/AOzAnFA23geW6GYjqj4q0KhuBHGI9s8xW9xI4RwAGuBMwHN/g34sv/5F4B/16bqcmYKxQQSLP56M4KubgYUijuD8bC804G3hBAfAkeA1zVN2yeE+B9CiD/yt/kxkCSEOA/8V2DbOBxXoRhzBvlUyzgvKoKysqHx15tJqFLJWArFncFNJ6xpmvYhkB9k+zdMzz3AF2/2WApFIHoGOcDmgtGrk4y1/a0mWFGVm0moUslYCsWdwbgmrI0nKmHt9sXldVFeXU5RXhFOm3NC+9LbF+YUsv/c/nEZw63G5ZKWdFGRFHuFQnH7MikJawpFOIznfGunzcnmgs1hC7Defv+5/dNmzvdUdYWr+LpCMXmo2uaKCWcqzLeeCmMIl6nqCtdvKkDVU1coJhrlNlfcUYyny36ymWx3+mQfX6G4HVFuc4UiCLdTidTJdqfryXZKuBWKiUe5zRV3FNPJXT4ahYVQXCwfFQrFnYWyvBUTQqj51RM971pPWAOm1HzvG2HPHti9Wz4qFIo7CyXeigkhlLt6LG7s8RT66eY+D8zsdrng4MGpMZY75dgKxVRCuc0VE0Iod/VY3NjjWWBlurnPAzO7y8uhokK6zUtK5PaJSiCbzCxzleGuUEiUeCsmBLO7OpztwSjKK8Ltc+Puc+Pyum4qW3wsxzUzWdnqgdPFzI+6UN+osI1V9EeaunarbyCm6rQ5hWKiUW5zRUimWh1wp82Jw+pg64Gtk+bunix3e2Bmd7BM72B10sNhrFnrI2WZ3+oMeJXhrlBIlOWtCEkwN/Vkz5OebHd3qOMbZVfnFrF/r3NS5j4Hq5MeDuNpzU6EZazmlysUyvJWjEBRXhFlG8qGCNXNWJ7jYcmPtRzqzRI45lDH16/LttIT42Z5TlRy1nhas+PZV6jzn+z57QrFVEBZ3oqQBIsL34zlO9VW9AoHfcxunxuH1RHS46Bfj8K5y3kwc6jleaOWoi5Sbjc4HHeepRkqhq/i3gqFEm/FGAk30SuYe328XN7j7bofqT99rO4+94g3HubrEui6vtFEMl2c3O47M8M6lEjfaHhAobit0DTtpv6AOcBbwEfAKeDZIG0eBjqBE/6/b4zWb0FBgaaYvpQdLdPYjlZ2tOyG9u/0dGplR8u0Tk/nuPc9Un+hjjvSeEajs1PTysrk441wo/vr+127Nrb9b3a8CoXixgGOauFobziNRuwA0oF7/M9jgbNAbkCbh4F9Y+lXiff05mbETtNGFujAvm/2WOb9x+Omo/T9Uq30g9IbHs+YjhdCaDs7Na24WP6Hr1wpH8tCnFJgH2VlI7e/1WNXKO5kJky8h3UI/wp8OmCbEm/FmERWb3ut81pQoTZvDxTcm7KSx+mmg+1ope+Xjn68UQTM/H6wtsGENphwFxeHPkZgH4HHuVUiO9JNghJ2xZ3KpIg3MA+4CjgDtj8MtAIngd8BS0Lsvxk4ChydO3furb1CignnRqzawH3015t+uUkKpN/CNQtusOMEE+UbFeqR9uv0dGqbKgbHNur5lY0srmaBCyXUoQS9uDg8l/m1a7Lt6dPB296MJT6SCIfjNbjV1r9CMdWYcPEGYoBK4PEg7zmBGP/zQuDcaP0py/v240bEMpSLfMe7O0Jat8H2Kd5TPMw6D9wWLqUflI4ozmNxnY8mVKNZ3qH6HIvVahb7YOO4GSv4RoR/tBuasaAseMV0Y0LFG4gEDgD/Ncz2l4Hkkdoo8VaMRDg3AnobXWw3VWwaYqmzHa14T3HYNxPh3DjoDHPl34AFGk678RCn0Szvm+FGxjeegjtR8XuFYryYyIQ1AfwUKB2hTRog/M9X+l3rYqR+lXhPL242Vjxav4Gx73DQBbT0/dIhIj5SVnmo45sFv/SD0rBvHAxX/jiISLA+blW/twvK8lZMN8IV7/GY5/1J4AmgSghxwr/t68BcAE3Tfgh8AXhKCOED3ECRf5CK24RbVYBF77d4aTG7q3aPqf/CnEKKlxazMXcjGc4MXF7XkEIro/Xj8rp4+rdPs7tqN+9ceYcda3cYFedGm18e2P94FBYJ1kdRkZwH7nbLYjA3UsTldi56ouaEK25bwlH4yfhTlvf0YipZ3oa7/P3Sm5r2pVvaK3+0clznlY83o1nO4+1uV9asQnHrIEzLW9U2V0xpdAs2w5kRdk1zwwsgGFabfSzotd33bNozpJ+x1mjX29c0u3jpJXjppfGtVx5sNTFzXfBgtcBvpj74raotPlG13BWK24JwFH4y/pTlPbUYzbIeS1GVsfY/Vqv+Zo83WtuxTnkzkuO+/rYGExNfNlvjN2J5j1SdbTLmfSsUdwpMYMxbcQcwWkx7pLrl4cTDR2oT6r1QNcnDiWePdDxzv4AR99bbhluj3VgmNKeQsg1lFM5dzopU+d54xpd9PmhpgVOnYMcO2LABWlvhU5+Cd96BV16BefPg8GGwWuUiJ7Nmwdy5UFUFycmQlASJiWDx++J067q4GHbLUzdix7cqjjxa7F0tBaq4EVw+H+VNTRSlpuK03j6Sd/ucieKWMppgjSSYxopbOYXsrNw54gIgwfoPtX+gAI+2YIlZTNvd7WxasonCnMJh7cz9Auyu2k3x0mJjHOEuzqL3U7ahzGj/7LOj7hYWbjecPQvvvgu//CXMmQPvvw8XL8Lly1LAV62Ckyfh4EFISIAFC2BgQIp9TQ2cOwd9fVKwNQ1iY+ETn4D8fNi4UR6nsBAefFAK5niI50h9jHZTEGyBFyXoobldRWuslDc1seXsWQA2z5o1yaMZP+7cT1QxJsIVrJH23Vm5M6S1O1L/wfYvyivC3eemdH2pIaqjWfjBMtfvz7hfTnbUoCS/BKfNGfRGQr8hMN8A7D+3f8TM8xtdRU0XpMJC2L9/UJh8PnjvPXj5ZbDbISICLlyQAr50KaxfL5+vXTsoZMuWSXHOy5OPFou0vu12iIqC6mr5HsCxY9DRAQcOyNd9fZCdLYUdbnx1NDM300cwy3w8xnS7cruK1lgpSk0d8ni7oMRbMWGEI2bBrOdA93NRXhHl1eVsPbCVsg1lYS85qk8de2H1C6yYtUKKNrD1ta0AOCIdRlKcLv6BSWn6DcDK2Ss5XHsYCG313+gNT6DLur8fli+HX/1KWtEffCCFfcUKSEuTgltVJfd99FGw2Qb7stmgoAC8Pi+VddXkpeZhs9rweuG3vx3cD+D3v5cWe0GBdLH/7nfyeJcuQX09PPecbDfe093CJZhlHk5/Pp+LpqZyUlOLsFpDm+fhtpsu3K6iNVacVuuwm5fbwSsxPUetmJaEI2a7ju9i64GtuPvcPLtK+pgD3c8ur2uY1R2qf5fXxa4Tu8BvPe6u2s2DmQ8afRvirEnRN7cvyS8ZZs0X5hQawm12pQez+m903XFdiD7zGZg9W8ayDx2ScemHH4a4OCnoXq8U50cfle2rqiAzU4ovSMGubpKCXd1Uzb6zrwJQMKuA4yf7qKqKZFFuL31Jp8hNyWUDNsMKv/tuadlnZ0vX+8cfw3e/C1/4gnSv3yjjHS8Pp7+mpnLOnpWfzaxZoRuH2266EEy0ArkdROxGCNcrMZWvz9QajWJSuFGRuSX9i4BHhlvUwazuUJRXlxuWden60mFTx5w2J8/eNxiI3lm5c4glHnjs/ef2G8L98qMvj2j132jhGqdTCnJZGTQ0yISy5OTB9yMjYd8++VhQIAV87TovxDWQsygNkKa3Lth9A30ArJm/lr6BPrw+L6SehpwaLHdpHLh8jMgZA+TlFRhudN1iBxnz9nhk8lt1tRT1v/97mfA21QhmPaemFg15DEW47aYTo4nPnepaD+WVCLxeU/n6RGzfvn2yxxCUnTt3bt+sglgTwisnX2HLvi1kxWdRMKsAl9fFKydfIScpB5vVNuK+4bTV+7/WeY2189eO2GduSi5Z8Vk8sewJo53NaqNgVoHxOicph6z4LIryikYdX05SDmkxaaxfsJ6S/BLun3N/0H3081g9dzXN15t5YtkTRgw82LGff+D5ITcONquNnKQcyqvLjWsx0jhdLpkFPnOmdJPn5EjB1DR4+205F7y3FzIy5HavF44elYlmixZJMc/Lk/FrgOqWk7zX/guSYxKYFSt/ZJIcScTbExjQBjhw/jViZsRw8NofiLcncHf6EuJT3KycU0ByVLK0zqus7NsH8fEyG93MyZPSrR4RAW+9BcePy7F94xuwcuXUSRZraHiFs2e3YLdnERsr7z4sFhuxsQVYLIOfgc/noqHhFRyOHGN7sHbTnVcaGthy9ixZdjsFsbG4fD5eaWggx+HAZrGQ43CQZbdTlJqKd2BgyHs6gftMR1w+Hz+sq+NQZye50dE4rVYKYmOHnU/g9cpxOEiLjMQH5EZFTcj5f/Ob36zfvn37ztHaKctbEdSyDddiDJbxvev4LhBQsnwwAeydK+8YLuuR+gzHta73Gcya7/B0cKb5DJX1lbS6W3H73AgEDquDf6n+FxYnL+aDmg+wRdgMcTafR/HSYipOVXD/nPvHPA0t7OlnXidPPy3j2eapWF/+snz+1luDoq1TXT2YSKZb3GbyUvOGPJpZkLCApTOXsXruajLjMo24t+5ON177d81ZNDQ+DoNJbTk50pXv9cJXvgJXrsgbDv0cJhuz9RzMCte3DQy4OX9eelhuBxd5ILoFWZiYSNnChYaFqVuS73R08PLChUNc6zvr6oZZmS6fj6fPnmV3U9OQ7dOJwHMAeHbOnKBtCxMT2ZSSQrvPh8vnw2m14oiIYMvZszgslil1/kq8FcPrcI8hSzqUSxvgSO0Rw7X88qMv82Dmg2PPvA5wueuv3X1u4zhfuvtLHLx2kDcvvclbl94iKz6LeHs8NqsNq8WKpml4fB7quup45cQrvF/zPgC1XbVse2Abvzr9KwpzCildV4qn30Pp7FLQYMu+Lbxz5R1efvRl49zM5xmYVKfH4fUpbeYxAoPTzyo3G8K9Y4d0Sz/+OHzvezK+nZU1ON9aJy9PZn/rzwPRvRMwGOvuG+jjwPnXWDpzGVWNH5IZl2m0AYbFwYnwQno1H7a6efPiG/QN9LEqY5Xs3+RGj4yUNxIPPwxCwH33SQEXgltKONPCrFYns2ZtxudzcebMV2lpqaC/382cOTI0ose1s7J2kJpaTGJi4TCR93hquHhxG/Pn78Buz7i1J3UTBLp4XT4fuxoa8PT3c6y7m4rmZsoWLhwiOEWpqbzT0cHupibOud385K67eNfloig1lcLERIpTU1ntdLKzro6i1FTKm5rY3dREcWrqtE18+0FtLbubmlgaFUXV9esgRMhwwv62Niqam6lobibBf2MzVRP/lHgrhjGWLOlgwu/uc3Ow5uAQS/tGMq/NC4OAtGZ163ZT7iZK15eyYvYKvvHWN2jsbuRyx2Xer3mfqMgoXF4Xc+PmcuDyAVKiU7Bb7eSn5fNQ5kPEzIjB7XNzrfMaX977Zfad20fZhjIckQ4jll6UV8SRuiPGOQBD5n4HWtjmOPz+c/vZsm9L0Bh7UV4R5Pif+0Vo0yaZXX7pEjzyyHDhBimeq1ZJi9cclw6GLsrrstezLns9Hp+HRcmL6ert4r2r7w1puy57vWGt6/stSl4MgG/AN/TzcMEbb8Dq1TIrPS8PHngAjhyRU9r0xLlbxVimhTU1ldPSUgFAY+PPSEnZiN2eYVjmPl87TU27iY1dgRBw/vxWBgbcZGQ8y8WL22hqkt+53Nyf37LzuVkC47HlTU1sPX/eeH9TSgrugQFcfity28WL7Jg/n5cXLuRUTw+Hu7r4048+4kRPj7GPbp3ubmrinY4Odsyfb1juUy1hK1yOdXcDkO1w8ExGBkWpqexqaGDr+fO09/Vhj4jA09+PPSKCjcnJlC5YAEIYYh1O4t9koGLeCiC82HU42Kw2VmWsYt2CdUHjvfpxZsbMNOLD3n5v0GO/cvIVXnzvRYqXFvP8A88bceRrndcoP1VOdkI2P6r8EYmORDLiMmjsaeRC+wU8Pg/HGo5xtvUsNV01XOm8woX2C3R6O8mMz6TT08m9s+4lNToVT7+HLm8X8fZ4nlz+JIuSF1GYU8jeM3t5asVTLEpeRFFeEXmpecb5mJ8Hi8PPjZtLU08TJctL+LjlY040niA/Ld+It+tWrB7jfvZZ+NnPoK4OYmIgJUXGmJOSBmPaOkePyilc0dHSte71eTnZcJKYGTG8X/M+v7/we/JS8xhAY3nack41n+Jw7SFarrdwpeMyl9ovDvnLTsymobuBGlcNi5IXEWePo9PTScv1FuYnzKe5p5kkRxJWi9WYWubxwJo1cmwWi8w+/4//kCJ+333yvPSYvh7LHw9ycqRXoqgodJ8eTw1nzz5Nauqf4XDk0NfXTHd3JdevX6a19VXi4lYTG1tAXd1Orl8/hdXqJDIyhY6ON0hIWE9c3CpiY1fS29vE3Lkv0NKyd0hcfCphjlfbLBZmRkZy2e0m2+Hgz9PTybLb2XrhAll2Oz+ur2d3UxOXPR5+39aGRQgueDzcGxvL07Nn4xsY4JH4eJp7e1kUFUXqjBmUNzezKCqKzbNmTYtYd6jY/CecTmq9XlbExrIxJYV/bmzk7Y4OzrjdJFqtfKemhjc6OnitrY3LbjffzMpigd3Oc+fPszI2dsJvWsKNeSvxVgDDk9ZulsAks8DjNPU08eJ7L3Kt8xpN15t4Zv8zw44dLDnMZrWxdv5aLFh4++rbHK47jLffy/yE+aTHpNPmbuNSxyXDxW632vEN+LBgobGnkebuZg7VHaKxp5G7ku7iaudVDtcd5nDtYRIdiTz3iecM635R8iI2F2yWgms6n2Dnpm/z9nt57sBz7K7aTYeng78/+Pe8dv61IedmFraDB+XfwIAscZqdLUubhkocq6mRhVmys6V4n2w4yb6zr+Lyujhad4Tu3i4udV7mWudVenzXOdVUjdMeJzPMgdTomaTFpJPoSCQ5KhmX18Whmg+40Hae5KhkIkQEB6/9gaUzlxFnj+N35/YTb5dJcLNny7GnpclEO/03LSICzp+Hn/5UiurDD8vz27JFim1gfP6Gv1Ommx4zPp+L2tof0tHxNpcvf4P29gN0dR0hO/sfSU5+jN7eJjStj5aWCrzeWlpbX6W5uYKYmAI6Ot4gMjKRmTOfYGCgm9raH+B03o8Qgp6ek5w/v5Xr1y+SmLhuygm4zWIxkq5cPh/PnT9PRUsLZ91uvpiSwhNpaYa4L4+O5khXFw4h2NPaSqzFwoPx8XwvJ4fLHg/PnD9Pc18fFS0t/EdnJ19MSeFPZs40bgzMTNUENj3ZLG3GDD7s7jbG57RaqfN6+euLF9nT3Mwvmps543azKSWF72RnM3PGDD7q6aGrv58zbveQm52m3l4eT0mZ0PNQCWuKMXGj1cBu9Dh6WdLdVbtZMWtF0NW/Aoul6POvH1v8GM3Xm7k/4368Pi9VTVVGPDclOgVaZPuZ0TNp7GnEKqz4NOkCbrou3YLn2s5xvOE4+Wn59A304e5zc7njMv90+J94JOsRipcWs3rual764KUhyXejUV5dbpRT3bF2h1EMxliRzIWRrNbdDadPS4HLypLlS83x7GCx7fx8GXPW39Nd3l29XdAMsTYnS1OX8oer75Eekw7A6aZTxNhicVgdNPU00tTTOKTP1OiZxNnjcPvcLJu5jHXZ6wGZ+R9piSQvNQ+vz8u57mrmZC7jwO8icTiGinJ+/mCN9d7eiV0jvKmpnAsXBnMLLJYouroO09Cwi4yMZ8nN/TkeTw0A16+fpafnBADJyZ8DoLm5Ysij232B7u5KkpMfA6ClpYKmpjVTOrFNj00vj44mw2ajva+PWo+HN9vapGvYYuFwVxePJSWxPDqaEz09ZNnt7GlpYWNyMjuysig3JXS92trKvy9fPq2ml+lubnd//5DxuXw+DvqXqrvq9ZJgsdA+MMA9MTFk2O0kWK3U9vYC8FhSkhH/B9gxf/4knEl43LR4CyHmAD8F0oABYKemaS8FtBHAS0AhcB14UtO0Yzd7bMX4cTPlT82MNqfbfBxzEttY5mtXNVWhaRpRkVHMip3FrNhZhog19zQb+2j+up6znbO50nmFZEcy8+LncbT+KAA9vT385sxvAPhszmd5v+Z9fnz8x0PKp+qPDqsjrOsTeBNkniu+s3In7g+eYPduB8XFMGOG3Ee3JM1imJc3NLZtjnXn3S0T0nKScjjXeo6cpBx+d+53AKycvZIVs1YQMyMG34CPgYEBALq9XXR7uwCImRFLd28XsTYnXV6XIejnWs/isDqItESy7+yrRFoipTfB5+W3535LVeOHrJtnYcOGfOPmwTyuBx6QddXfeUeWaB3NcTZedckXB/5+AAAgAElEQVQTEwtJTt5EdHQura2v0t1dCUBfXwenTv0nYmPvITW1mN7eWnp6ThATU0Bq6hdxuY4ZbaOjc4mJ2UF39zGionLp7q5E0yArawcWi31Kz/12+Xy4BwbYlJxMRUsLJ3p62NfWxi+bm6ns7qaipYUdWVk8lpTE3tZW1sXHA7C3rY29bW04LBaqeno40dPD8uhoIoSgsrubu48cYf/SpSyOiRlyvKmawKXHpl0+H46ICAoTE9lZV4e7v5+K5mY2JCTw4fXrXPV6h+ynZ5jPt9u56PHg8vnIsNt5eeHCKVugBcbH8vYBX9M07ZgQIhaoFEK8rmnaaVObzyLTdHKA+4Af+B8VU4ybLdgylmlmgTcMoY7t8rpw+9zsWLuDGZYZnG4+TWpMKlWNVRy4cIClqUtZkLCAd8+9y72z7qXd007MjBjOtZ0DwOPzkJOYw7m2cyRHDVY7OVJ7BO+A/Efu9Hby6fmfptPTSU5iDqXrS9m4eOMwy1nno+aPePJfn+T7n/0+xxuOD8mGf+fKO0bt88Akt9KHIykrK+GTn5SFTkLMWKG6WrrOQYq6+TXpMrFMzyKf5ZxNnasWAKvFis1qwzfg482LbwCwICGbxp5GunuleHf3djEzJo3G7gbSY2dR31XHouTFZMZnkpOUw4eNH7IoeTFunxuvz8vxhuNUNX5IeuwsctMX4JwXepxpabBnj4x9x8aOLNA3W5dczxLv73f7XeIrycn5ATU1/0BU1KCQNzdX0NV1jK6uw8TGruSuu37CxYsv0Na2F4cjF7f7NELYycx83ujX7T5HU9NuentrWbJkz5Qul6onX23PzGQTcH1ggH1tbXw6IYHm3l6u+q1KXbTe7ew09l0eHc1qp5P2vj7pRl6wAKfVyt1HjnDZ6+XJjz/mUEDcY6omcOno49OnvpVmZ1O2cCHtfX3sa28nPiKCjv5+Y3rE7sZGKpqbSY+MpL6vj7PXr/N2fj4/qK1l26VLtPf18Xxm5iSf1XBuWrw1TasH6v3Pu4QQHwGzAbN4fx74qX+t0g+EEPFCiHT/voopxK4Tu9j62lbcPveQymPhcqP1yyG08OtWd9mGMj5/1+f5mzf/Bk3T6BvoIzc5l6qmKlrdrdR11XG18yqd3k5yU3JZk7WG6qZqGnsa6fB0ANB8vRmbxYZ3wGsIN0B9dz2/v/B7Gnoa2P72dso2lJHhzDDKqAby5L8+yeHaw2z61SYud1w2xrztjW2Gta5PMRuabb4R50PwD/8gY8UnTgzPHPd65bSwdetM7nHzY4R8kZMk09arGj8kN2UJc+LmkJ+Wb5yPTkNPAz293UPGr2kaa+avBWDZzGXkp+Vjs9qorKs0RP9My0c4rI7Ba9Teyi9eP89/+tQSnNG2IePMyYHKSjk+r1dOJfvCF2DXLti6Fd58E370o6ECbnat34gVrk/7mj9/BzbbPLq6DlNb+xJLlvyCK1e+TXd3JTNmzKa3t5a+vh7i4taQkLCG+vqdtLXtBcBiifA/2odMGVu48GXc7nN0dR3m4sVtUzrrXF855tXWViq7u9mUnEypf0WZq729FKemYo+IoLK7mwjgur7SDHCip4ftV64Y08oy7HZcPh9PpqXxamsrP7nrrmGHmyolQ0cbR1FqKu6BARq8Xl5vb+czCQkAUriRU8iWREVxyO9Sr/fPxTzR08N3a2p46do1AI51dU3E6YyZcc02EELMA/KBQwFvzQaumV7X+LcF7r9ZCHFUCHG0ubk58G3FRKAFPIaJy+tiZ6XMsdCnhpm3mxf40EW6vLp8SB9FeUVBY9/6giKr567mB0d+wOnm0xxvOM6BCwdIj003qrLNjJ5Jp7eTmBkxnG4+jcfnwdcvY93efinUre5WQ7RjIweLdFuFlYaeBgA2ZG8w6pwHjl3nJ5//CStnr6TiCxWUrivF7XPj8rp4YfULFKQXGMKqXwvDy+B18tJLUrQbG6XVWl09tG9zQZbq6sEa5nqylpEwF2FjVuws1sxfawi3zWrD5XXR5+sj1v8ZBAo3QFNPI7WuWt68+AaRlki5WInPS99AHw/Ne5icpIUsSl5MTlIO+Wn5rMteT7r7M9RV3sMbHzQMGWdkpFxeVD+XmTNl9nlHh0zGA6iokOJsRq9L7nRKkd+yRT6GixTZMiwWO17vZWJiCrDZ5lBV9TiNjfIGympNJDp6OR0dv6Wz803a2n5LZ+c7REevMN5PSdlEQsJn+OijJzl7dgt1dT8AIDn5cZKTNzF37gvU1e3E5xv+PZgKlKSnsyk5mcrubgpiYqhoacFhsbAxJYVNKSksjYlhY3Iyn0tMpD/I/vPtdh5LTOS11lZqPB52NTSw/coVnkhLG+Yyh8GYtzlGPhmYx+Hy+dhZV4fLJ//fXT4fu+rrebujgx3XrlHZ3c2P6uqYPWMGcf4kuyteL//1/Hnuio42+sx1ONiQkMD/qaujvb+fJKuV72RnT8r5jca43TYJIWKAPcBWTdMCv+XByjcMkwdN03YCOwHuvffeMcqHYjwoyS8ZEqcNl2ALikBwazqUdR4q7r7/3P5hMehH5j3ChpwN9A30cbpZOnlSo2QMrtsvVlVNVYbw6klrMZExJDmS8PR7eGTeI/z75X/net91mfDlZ3HKYpw2J9/+w7fZ9sY22j3tPP/J54d4DBanLObQV+Q96vGG42zZt4UjtUdYMWsFlfWVVNZXkh6TPux8ysulJXr//dK1fPWqtFrN6FZ2X58UxCtXhq8WBnJetrkIi86HjR9S31UHgM1qx+vzYKx7GsCGhZ8zEtL0uPbSmcs41yoTfrITsymYVcCqjFXkJnh5I+oKa1elBfUO6GO32eSNyc6dUrQ3bZLnO15rguuYC7JYLA76+91DEtdstrlcv25aNo0IfL4Orl8/xYwZMpmvs/NtADyey3R1yVXiurqO0dRUzqVL20hNLaa9/fdGv1Mxac1ptXKP00lFSwvJkZE8lpxMu8/HnpaWIQVH1iQm8mpbG6lWK02+wTn8r7e3U+mfC40Q3Of/YDz+fAkzLp8Pd38/pdnZkx7z1ovKFCYmGkL+4/p69ixZwp7mZrZeuDCkfUt/P/T3YzdtO+fx8POGBuP1fIeDfW1tAMydMYPXli3DabUaRWumUux7XEYihIhECvduTdN+HaRJDWCO7mUAdeNxbMX4csOJa0EWFIHgQh0qi1wvVxroVjdnqPf6evnlR79kQBswkql8Az5ON582XMUxM2JIj0knNTqVMy1naHW34rQ5afO00d3XjRCCrt4ufvnRL/EN+LAKKwn2BNo97QD84vQv+NuH/pZjdTKn8penfslT9z4V8gbFXP51xewVlK4vNVYpC6SoSFqjQshM86oqOR1s1arBNsYynl64dk226e+HP/qjoQKek5QzpOyp2+c2XN56dnlzj24dDQq3wEKiI5EH5j7ANdc1jjccBzCEe+38tUZ99JykHCrrKslLzcMZbePxNTL2V1kpre4NG2SfgYVjNE2uMV5WNlSod+4cHuf2ey0pLYWSkmGXbAjBSp5arU5SU4toaNhFQsI62tul2yI6uoCoqMXGa+jn+vULOBxLcLtPYbPNJTX1T/F4LtLcXEF09HLs9iwyM7fT3v57UlI20dS0G6dzBQsXlk3ppDW735o80C6/w3tbWtiemUlBTAyf82dQu3w+/rmxkcNdXcyeMYPa3l5mWq1UdneTZrXS4PNxye3mPv+ycfYgJfPKm5rYeuECZf7SqpPJ/rY2djc18WB8PEWpqfy4vp7DXV1su3iRFaY7w4fj4ujw+bg3JoZ/bm7muv+mZH1CAqd7eoycgA2JiUSa+v/z9HS+dfUqOVFRbL98GXd/f8iyqpPBeGSbC+DHwEeapv1jiGb/BjwjhChHJqp1qnj39CVYzLpkeQkO63CLPVCo9XW595/bP7gutz+L3NPvoaqxiqUzl7LtjW3AoNtZb/uP6/+R2c7Z1HTVGKLisDqo765nUdIiOr2d1HfX09TTxLm2c8TOkD9EbZ42Y0y6le0b8CEQ+DQfvgEfy2Yuo7G7kaudVymvLuc7677D5c7LHK49THl1OR6fR47T/2g+x3Az52Nj5ZKeDodcI3skbDaZ0Hb6tPybP39oRvrp5tNUNX5IU0/TsJrm5uxynQiLlf4BHxoDtLpb+O253xoWek7SQnJTl7B2/lqcNierMlbh8rr4xalfGMlweUmDq46ZY/CBSWsgXem7dsH/+T+h49w6ujeirGx0azzUsp0NDbs4f36rMb0rJqaAtra9REcvN+09A/Dgdp8iJmY53d0n6O6uJj7+ATRNTgmzWGbQ2vpvXLq0jQULSklIWDMt1vcuSUvjYGcnFf5w42NJSUYMfFFUFE6rlV1+cZs7Y4YhWI1+C/zeuDiaens53NXFHw8MsDI21ogRm5lKmebmsTitVn5y1108+fHHvDB3LrPtdn7W0EBldzdd/f2c6OlhSXQ01wcGjIS1Bn8yX2JEBG39/URZLGyfN4+rvb18LimJ0z09VLS0kOGfFhLMEzGZjMet0yeBJ4AqIcQJ/7avA3MBNE37IbAfOU3sPHKq2Cj314qJZKwZ5sFc4aEsdnPf5sU/dPd3UV4Rbp8bNHj7ytvsPbOXx/oeGxJHdtqcg2VRl2xi5ayVnGw8yVuX3wKkdZjbkUt6TDqfnflZKThddditdkOokx3JtLhbAFiUtIikqCQutl/kk3M+yesXX+eRrEe4d9a9PL3iaSpOVRjX4vUnXjfGv+u4DMjarfZh5xkubjd0dUFCwvA528HIzx98bm7n9Xm50nEFgMbuBhq7G1iUvNhIQrvacZVzbWf9raXLfFXGKpp6mujwdKBpmiHcgOEmB5jjlPHzNy6+QZ2rllnO2XIRk5NDRVoXar3uel/fYHz+6lVpmQdOGdPj3C6XtMKLioYLejDXur7tC18oYuHC4ct26jlYsbH3kZi4HqdzNVevfgubbQ49PSdITHyMzMy/4eOP/wIAq3UmAO3t+2hv30d2dikezwW6ug4TGTnbsLSnumjrOK1WvrNgASBXvzrZ3U1ldzfLo6NZGh0tY8F+S/pqb69R5/suh4Mch4MH4uIoTk1lf1sbr7W2criri+1XrvCLJUuGHWeqZJqbx+Ly+fjW1asc7uqStdrtdr6YksICh4PtmZn8vr2djv5+CmJijBDBiZ4eNqWk8NcZGTxz/jzb583jXZdLJvYJwfezs7ns9XLYn7B2rLvbWKxkKjAe2ebvETymbW6jAf/lZo+luDWMdd3psRR0Mfdtdn+brVQ9q93T72Hvmb3cl3EfjkgHW/ZtMeZXm13TFacq+ObD38Q34CPDmcG51nOcbj7N6ebTWC1WFicvJt4ej3OGkw9qPwAgwp9VvChpEZnxmfgGfNR319PV28Wf5v0pjkgHT937FPH2+GGeAuM8BZSuK6Ukf/De01goxec2PAhFeUUhQwHrM4oAf7U42+jVx/Sa5jr6vOq+pNOcafkIgOgZMfT0dnOm5SMjRv0e75nEWyPOHo/daudc61kWJS829o21OVmSssTIxj/ddIrTTaeItESy1n8jsHb+Wui3BY1x62PU1xgH+Tw9XZZ5Xb06xPciYJqYWeCDTSHTt73zjpOXX95sVHfT3egpKRuJiHAYgnvt2ks0Ne0mK2sHCxeWkZhYyMWL24wYuN2eSULCBrzeK6SkbCQtrYT+fg/d3ZXExd1nxNLr6nZOCxHXa5dXNDdTnJrK3tZWACKEYNulSyRERlKSlgZIC7K8URbq+djtJiYigm0XL2K3WHg2I4P2vj72trZyT5BktalK4AIqu+rr2XbpEqULFjDbbuftjg7jmmxKSaFvYIC9ra3kRkXxzPnzxs3KPbGxFMTEcLiri5dqa3n97rvZ1dBgeDXWJCRMmZuXqXELoZhUxlpdbSxxcXPf5v2C7f/UvU+RYE8YvpAHg67pFbNXGKL4pbu/ROkHpcyImEFadBoLEhdwzXWN082nyU3Opfm6dCGmRqXS2NPI0tSlzIqdxYELB1iUtAiAlust5Kfns/W+rSQ4hroJzTcegDFdLdj0ttJ1g4uQmEMBR+rkymq7ju9i67/+f3z++l3E9j0U1rULhu6iXvfZPBYln+VMy0fMip3Fudaz5KYuMdznVov8106OSiHCEsHGxRv5uPVjANrcMoTgtMfh8nRy1XWVOletYbWD9GY4bU4ezXlUrlBWs4wDByJZunSoNwCGTm0DOb70dGhuhm99C34eZJbVSBXYgr1XVCSLv+zeLVdh00Vdd6MvXFg2xI2uh2u7u49x110/or5+F01Nu4mKWsr161XExT1AT08V7e1VXL++mKamcmbOLCYyMsGw6s0u+tTUomGx9qmEWbx2zJ/PCqeTgx0dVLS0GElduxoaQNOwC8GJnh7m2mwsi4pinz9Orrsvnpo9m4TIyCnhGg+XQBe68QUQgvKmJkO4C2Ji+M6CBexpaeE+p9MoZDPPZjOS+3ZkZbHA4WCp/+bl2YwMStLSWJOQMKWuiaptrghZhzwYY13AZCx9h1M/fFXGKlZlrMJmtRFvj2dp6lK+9d63qOmqoc3dRl1XHc4ZTmq6aowEtDnOOdyddjcur4v8tHzibHEMaAPUd9fzqaxPsSRliVGX3HxuM2Nm0tTTxFMrnqJgVkHQhVb0Nn9131/xqaxPGYunpMWk4ZzhpPxUOVnxWfg0H6/9aiYf/+wviY6WpVBBCl+oRUh0zG3i4qCnB+5bGUGf6OZC23ny0/NZkrKE1XNXG2NLiUoh3p7A+uz1rMpYRfSMaK52XuVS+0V6+npIj53FouRFxM6IZX32embGSKvsUM0HtFxvweV1kZ2Ybaw0lpEwk47aVK5eHay5ro+rtla6yBcvhkWL5PgeeECGCH72s+Bx7GB1yvWa73l5Mjvd/J7NJl3wgQuTOBw52O1ZpKYWYbHYjIVJZs4swefroLm5nLa21+ntrcPjucDs2U+TmvonpKeXYLdn097+OnFxq7l0aRt2eyZCRBIdnYfFYhvSty7kdnsWDkcODQ2vTKkFS/RFSp6fOxebxcLH16/zzOzZLIqK4vm5c9nb0sIz587xWns7DouFxVFRHOrqYkl0NE+mpbE2MRGrxUKuPz6u10yHqVvL3Ixe5907MMArDQ18PimJRVFRPDFzJnnR0cRHRJAYGcmuRYvY39bGM+fOkRgZyRsdHRTExLBnyRJyoqJ4OC4OgKseD9+vqyNtxgxWOZ1D6sjfalRtc8UtYawu9vEiWLKb0+bkt+d+y+WOy2Q4M6hx1Rj1zONt8XR4O0i0J5Kfns+hmkNc7LiIx+fhz5b9GXcl38We03tYlrqMZ373DJERMs/UfG76FDV9WdORprHpbQAjFFCyvIQ189cMehL+eg/9n3Zz/IiDgQG5IlewZC8zXi/Gal46VVWQmQn5dw+awHmpeSFvkPT1vXWc9jjqu+qo76pjw8LPkRKdQkp0Cl6fl2ud1zjdfIrTzaeYnzDfsOQvHlxMZ6cUbd1tfvy4FO01awaXCK2uluPzemHu3LFNBxut4poeLzejTxfTMS/naS60Mtg+3mhfW/sSXu9lPJ6LLFxYRn+/e0gynLlv3Ro3C7nebjIxFyrR3bl6ZTHzWt6FiYlGTfO9ra1sSpaVBve2trI+KQmALWfP4rBYhrmFp2ot82DoYw1cx/yp2bMpb2rCabUa1nN7Xx8Vzc08MXMmi2NiWBwTY1w7A02bMkVpApk6I1FMC271AiajVV8zJ7vpsXDAEPU2dxt/8+bfsCx1Ge9ce4fPLfwcj8x/BLvVzpz2OTw07yG+9omvUV5dzq/P/JoH5z0YfM1tBovDFOYUhhzXSNcjMLzw7EMl8BB84xvwhz/AypXDK6jpGLHtPimGS5cGmU9ttQ2rQ66jW8x9A33UddXJuuTZ64054emxs1iYtJC+gT68Pq8h/HPi5pAem47VYjVuCApmFZDzGYiwSOs3cL651To0ee3KFTnms2elIIfrQBuPxUzmz98x5DEl5XFsttlER99NZGQ8aWklQdva7Rn4fC4jbh5IKCGfbIIJa7CM8P1tbca63Y8lJXFPbCz3OJ3YLZYh7YK5hadShvlohBpr4HXSa6Dr4QFdoAsTEynNzsYzMIBdCErS06fszYtym09XbsWCyYGHCOIiH4sbPJy+zet626y2kEuT6suDPrXiKZlw1u8jNyUXp81JwawCnDYnOUk5VDdXs37Bev72ob9lUfIi/tsn/xsnGk7wP9/5n9w3+z5ePvoy8Ta5MMP6nPWULC8hLzWP8upy8lLzjDW3Qd4wvPjeiyxKXkR1U7UxrpykHOO66Mc1n8No1/A3v5GiFh8vp4LNmjXcZX7Sn9mdnS3d0Q88ILcHzqdOciQRb08gJy6P6iqr4X5PciQRPSOGa53XONVUzdKZy3gw80EWJi2k0+viQtt5nDYnB6/9wVjy82TDSX53bj9LUpawcvZK+vushrs+OlpOVTtzZtDFn5Iiz+HuuwfHb7XKdr298MUvyvXJc3PD+4qGWvJzLFitTlJSHsdqddLQ8Arnz28lPf0/ExFhR9PA4VhAff0uuroO4XSuYubMPzFi2BaLjdjYglFd4eG2mwgC1/QGgrp4cxwO0mbMYH1CAvMcDv764kW+mJLCf5k9G5vFgs1iIcfhoLypaZh7fCJdxjdLqLGar5PuWs+Ljub+uDhsFouxnGim3Y7DYqEkLY2HEhKM6xJ4jW8lym1+u3OzqzqMhsvFiW8/zV8PDFq5o+4yhilno1nSI80Xd1j9meiRjpA10DOcGWwu2GwsalK6rhSPz0PF6QqONRyj4lSFkXy2s3Jn0FCA2QLfc3oPpetLh0x509uPFEoI9t5XvgJHj448RcxsketiVlkpBb2vb3CKmc0mb6b098BvBffbqPs4ndPaWyydvYxHcx41bh4ezXmUzDi5CElmXKbhGs9LzaOv10JfTR7epJEXR9FFNpirPzJSCvaCBfCXfynntN/IV3SkKWPhVGjTLeOBATfnz8sEwq6uI4Zb3WJxTLrb+2YJd+qW02rl2YwMQLraHQEWN0wv9/hYMV8ns2s80FsRuJxo4L5TCSXe05VbvWByeTkPvribfV8vZnmYLvKxLGoSbNoYjJ7J7vK6aPe0syl30zB3tln4jSlcfW62HpCCXpJfQoIjgdVzVxNpiTTWFB/thmFn5U6jj8CKbzsrd1KYUxi0JnuovhcvltaqxyMFMSdH1gY3L/95/PhgH7oLPSdHxpb1sqlmEdfFXl8gpK8Pqt7LZOkDf8qjOWnDEv90r4b+KI9hw+fO5803wdcrreiQi6OMQEeHFO4vfUkue1pYKOd0FxbC/v3hl0YdacqYeVso9Mpr9fW7jKU9U1I2Ehu7AiHkUqL6VDBgSmeTjyehxGg6uceDEW5sOth5Bi4nOh2ugXKbT1fGw8c4Ejk5kJVF5n9+Hlt0eD9mh2oO8dqF13DOcLIue11Q17ruRtZd1KO5nQN55eQrbH1tK6eaT5EZl8mPjv2IF997kaz4LFlIpKmauXFzee7Ac7z43ousz1nPY4seM7wBBbMK2Htmr+EO10MAwbLNdcxZ506b02ivW9WLkhexuWBz0LEHCzNYLFJ0X3lFLuBx5QocOzaYxX3yJPzud3DhgtzW1CTFOjlZfuS6u3pgQLaLj4fUVNmusVFuM9zt98ZjmzH0h8zlkklws2cPfn10N73NBi0t8vHQIdmHXhHSag3u4jejaXIMX/mK3K+gYFBwm5rgxRdlxvho89vB+AoOyS4Ptm0kpOv8GVJTv0ha2hO0tOwlLe0J4uMfor5+F+fPP0NkZBpu98dGNnlsbBiDu82YqklZY0F3fWfZ7RTExoZsN1IYYCqECJTbXDGcsfgcg6X2jkJJfglH6o6wu2o3a+avCWpBB3MjB9s2UoKYXpENIRcqKV5aHLSCW/HSYkqWDxZJ2Vm5c5iFPtLYzAVY9Ixy/Tgj9TMaLpe0tP1VF6mvH5qQlpcnp1nV1w9NadDfN9c+1y1v3aWdmyutZX0udmCMHOCNN2RCWWurtI5ttsG+3W4Z1549W94ABLOyzZ6B/PyhfTc1yX1ycwe36c4hvWBLYeGYLtcQxvq1HClL3DQVeEoloU0Gt4PLfLp7DsaKEu87CX1xZbcbnh37Wt2jEVjjOxjBBC/YtlBxZHNFthpXDUdqj7Bj7Y5h7mzzGHZW7hxSAS3UtK/AcRglWXM3UboueLx7tJuNYJSXwzPPwHPPSSFMTIR77hkUQZtNxonN9cyDWarmmLM5y3v+fPleYBxcd7+vXi2Fu65OirB+A6C3cTiGC74Z85KlMFgBrr9ffrWKigZrZMCg4O7cKYusrFghjzHaPeR4pHWMlCWellaCxTJYlW26x79vhttB+KZqbPpWocRbMa6MFrMO9b7b52bX8V1GOVHdwnb3DdY31wm0iAFefvTloMfQk9F2rNlhTPsyEyi6gQlreknWNfPXDLlBMN9ouLwuvvrqV6k4VRFevN+/6/r1cP68dIfrse5gC3+Eg80mlw3NzAwdo9at8w0bpMWtT0ULJwnNTF4eXLwoby50NE2ugPbQQ4Nu9lDn7XaHJ8rjndYRKNB3umCbudOE73ZAifedREnJoMlziwm21Gcohqws5vPw/APP47Q5jaxyvcSo3oe5JKnuIn8w80FAFllx+9zGCme6yJpd34EZ6iO57HeslXOBddEPdvNRXl1OxakK+SKMVejNluirr8Ijj8ipWJcvB1/4YyR0wZ87F959N/g8bJ3ADPZA1/tox9D3s9nk8qTz5w/uV18v3ex/8iejn7fLFd7X8AYiNwrFHYMS7zuJCfw1NAsyMGT960CK8or4wZEfcKLxBIdqDg3Zrlu+5nizObu7JL+EBzMflNO5PtpD6Tq5lvaWfVtw97n1BbXYmLsx6JKlZku6xlXDtje2sTR1Kdve3Ga0CSb6ZgpzCtmUu4l7Zt3Dxk8I6RkAACAASURBVNyNRmwdr9NIMQAZtQB5D+V0Do0Fl5ZKq1mvVBaMQBGFQWt61izpBu/vHxTVcKZ2hWNp6/309Q1uy88f3K+xUa6S9ld/BfYwFlwby9dwLGkaCsWdhBJvxY0zwi9rUV4Rb156k4pTFRysOUiJdzBx7AdHf8CxumN8Z913yHBmGO7oE40nQGC4yc0x9MKcQp7+7dNGItqOtTsM69iYzuWf412YU8iRuiN4fB5DhAPnhOuYLWm9/025m0JWXQvG/nP7qThdQWREJHsi9rD1gP+mpXKz4R4GmW4Ag/OezSL2ta/B//pfsjb4SLHmwFKqutDrlndi4qDQ6klr4breQ6Hv39c3GOuOjJRjaGuDiAg5/lshrre6nIFCMV1R4n07MVJVi7FOsg3nWE8/LTOQYNgvq9Pm5Eef+xGRlkgZM85aYxQ02faGFNTIiEh+/vjPcXld2CPtPHbXY+w9s5eHjj9kWOrmuda7q3azcvZKI84dqrhLeXU5u6t2U7qulB1rdnCs/tiQWHeo5LIXVr/AubZzbH94O4tTFhvbRytQY/YQrJi9YlD4c/zvm2K95tdmFi6Ulus//ZNs5y89PQTzutku12DMOTdXZq8/+ujQ+eHBCGa9j4bZxa6zZIm09O12+O//XU5V0xlPa3mkuLeyyhV3MuMi3kKI/wtsAJo0TRt2ny+EeBj4V+CSf9OvNU37H+NxbIWJkapaFBeHFNoxof9iut2yv+LikMHLwOxzl9eFu8/N9oe2c7r5NDvW7sDldQ1avEs2yR2DrA4fWMN8pOIugUJecbpiyNS1UJns7159l8O1h3n36rtDxHs0nDYnO9buoK+/D4/PY0xPwzb0Uo+W4J+fD3/3d/C978HVq5CRIeeE65jXza6rG1ysxPw8P3/49LErV6Sw22xw5Ai8+ab8+PSSq+Giry3e1wc1NfKG4+mnpcvcjP6Vc7vDyyofiZFc7IFfdyXmijuJ8bK8fwJ8H/jpCG3e1TRtwzgdTxGMUAshg7S8H3zw5pPV9OlmO3ZAWdmov5S6Szyw2tnfPfx3AIZFvSl3E/ek38P9GfdTsrwkaD+Ba4GHsojNxwxW/cy84IiZorwi2t3tvHnpTQpzCslwZoR9WXTXecXpCuy+VBwfl9yQiMyZIwX8n/8Z3ntPFmTR602Y183OzZVxbpDP9SzzUNPHMjPl9vp6+Z7+aK7eFljlLdBC1zTpJne54I//WMbnIyOHjt/lkqJdWipf30qXd+DXXbnYFXcS4yLemqa9I4SYNx59KbhxEyKYmWLeNp6/aHZ72P0Z2eHrS0PGkvV52HoJ0hvFPI1M7y9Q5Pec3iNd3LNWDEmkc9qcVDVVUXGqgssdl3n9idfDHktRXtFggtzRIrY8I7cHXiLzRwvBP+aYGPjqV+Xc7927ZRZ6bCy8/bYU4g0bZHt9fjUMCnagGK9dO3T62Lp1Mka9dq18rVvnS5cOWu+BdczvuQfa26GzU/b17LMyszwY5eXy3k6/r7uRyQ3hfv0Dv+63umKwQjGVmMiY9yeEECeBOuCvNU07NYHHnl4EMyGmik/QPN1stDH53y96rBD8oh0ohrpF7fK6gmaDj0Zg/No8jSxUvXHDLS+G96PHvQ/XHqa8ujzsNcudNqdxI+BaDI7I4CJi/mghtKUoBNx7r6yBfuQIfP3rUlwXLpRCHCp2HSjGGzYMzSZ3OuHxxwdfm2uiB84R1zRZae3yZfneV78qY90WS+iP3iygNzK5oaYGNm6Ew4eDX5eRUFPLFHcSEyXex4BMTdO6hRCFwG8w0nkGEUJsBjYDzJ07d4KGNkGMRXyDmRBTxSdo/oV86aWRK7b5x+x0l7LZ4ZCf+DiXYg+MX5vj3aGs5pLlJcNuFPR+yjaU8foTrxs3BDfCSCJSWCjTBAoLB78G+scc7CsSGQn33y/nVb/9tnSVNzTItbIPHpTCumHD8BKqgWKsYxZ9GHoDUFAgBbuzUy4uEh8vxfSFF+C++4bG30N9HW9WQLdtk8K9cqWyoBWKkZgQ8dY0zWV6vl8I8bIQIlnTtJaAdjuBnQD33ntvGOUuphFjEd9gv4DT0Sc4hpJaIy2rOeIhAiqeBSuiEmidm9vo75lj46NViRvSd3jOB+P9/fulK/zBB+WlMF+OUF8Rl0u6uktL4ctflsL6wQfysboaenpgzRoptg7HoKUdbP622R0O8nl3t1zkJCND1lvPypLi+b//N5w4AZ/+tLTizecY7tcxnDCBmR07Bh9V0plCEZoJEW8hRBrQqGmaJoRYCViA1ok49pThZsV3vH2C4+GGH61iW2BJLX1tyBDzws2P4RKO0I5URc2cRGfuxyz4eh/BrPnRysUHZl4XFkoRdrvlZQnlcjZ/POY4cny8/Js3Dz77WfjzP4df/1oKeGqqzDwfGJD9aP7b34GBwVrjsbHwiU/Iim6XLsnnNpucv/2Zz8iPJzMT/uzPpHCvXCmXLg08x3C/juGGCXQyMuDnPx+935thqkSgFIqbYbymiv0L8DCQLISoAf4OiATQNO2HwBeAp4QQPsANFGmadntZ1qMx1QJy4+GGD3ZOI/0y7tkzWKkkyLzw0dbxDnfhj8D2wbLLR0qiM7//zpV3WDF7xZBFTYJx8OBg5TQzhYWwaZN0ee/dKwUYBi+DLoaBl23nzsGPp6hIJoy9+eagu11vu2uXTELT9xsYkG1bW+VjX5+sutbfL5fy9HjkMqQREfCLX8B3vyuFPS4OKiqkiG/ePNQC3rNnlGs9wkc+0gSIyWKqRKAUiptC07Qp+VdQUKApbiGdnZpWViYfb+T9UJSVaRrIR53SUrltx44b61PTtLKjZRrb0cqOlg3Z3unp1MqOlmmdns4hz83tzc/7+jq12toyrbX7mtE2GJ2eTq14T7HGdrTS90u1lw+VamculWpu9zWttlb2o2nyVIqL5ekVFw+emn759FM3v69vKy3VhvWhXza9XWmpfP7YY/L9xx4LfonDvo5lg8c2j09/HfjRBI5jpD5vZDyTwY1+tRWKiQA4qoWhkZMu0qH+lHjfBKF+ncbyqxXuL3Jgn8GOEahW4Y7X3MQkzLoA9/WFFulAUdfF99q1Uu2tt9Bqa/8fe+8eHdV5n/t/9txnpBlpRmh0AQESGgGysMEYG9sBJzYJriAX7IQo1S+tSVs4TtJjTtPVw4nPad2myaErdSInDSmkCXEbnSi4LmkCJCSmibHjC7YMWEIGgYRBNxihGWkkzX1m//54tffsGY0ugGyDo4fFGs2+vHs0e+t93ud7nZpplDEGRrrkU6fq5d/8BvVVe3428tWSZCb5Zf66yrH19bLc1ZXap70FWvKezlc+3dsz1Vc/ncfgah6rd2rNOItZvF8wS96/z5hoxp2KRLVQZtG2thSrXM21so01EWNoP5d23wQzeU/PbpVAJ1LemVDOuXixIU05a6FdFGjfK4R/6lT9OOU90a/Y1TX51zbRr6n9OrXbteNNRP7ZbsG1qOJp3IJrPm+qzzPR/llSn8XvC2bJ+/cZE81016KAtTbhq7nWZMj8HJm2W2X21vysJdZsJHvxolDV2UhZOWYi0lagXRRo32sJfyKC15rRteboO+/MTuBTkZRWgU9G1lOZtacywmivM9Vnm2pM7XkTPWrXqrwnWtTMYhbvN0yXvGcbk7wfMVEgGYhQ5y3jy48C2SN5tJFLU13rWsN4s0WtZ/zs9TbR3i4+m9ud2hePB2hv/zxer6jbrtNZcbvF8W53HQaD+BwGg4PS0smjk5RxlVeXqxa3u57CwocxGBx4vU0kkyHOnRPRZqWlW9M+V2npVvUrbGgQkdrHjonc5cwI6ro6Eb2dLeoc0mP7IP22aIPAtJHo2b7yieIklc+5ebMIVNNGkk+VGDFRwJf2PKX96dVios+b+TvPBpzN4vce02H49+L/rPKeYcy08/Jar5HtOlmuO5nCVczYXV0NqjpuadmsKu9MBT0ZJlPk2nEmMrtnU967dgXl06d/IJ8/P3TVHodsvvJs6niir3K6UM7buXO8Qs425lQm8en61hVFfj3BbbPKexbvZzBrNp9FGt6NGW9wUJZ37ZJlr1eWr1yR5e9+9+qC4zTh2pMR8MWLDSqRKmSu/CzL8qQm9kxMdJ1MU/xU5vLpjJmJbCbvifzfmeddi096os+QaT6fbFExla9aG3Gfbf9EUe2zePcRG4rJPbt75NhQ7L3+KLPQYLrkPWs2f79Da8qeKRtjIiHaVXm9oirIhQvQ0yOSi0HYis+cgZdfhn/8R1i8GD7+cfE6Zw4UFMDPfpYyr9fWChvzWOmx+OfqSCZDLFrUMM5E7vU2UVj4MJKUKkKi01lpb9+GLIcZGWmhomInpaVbiccDnDnzZ/T37yORCFFWNr6KSqapXIHX20RHx3YWLWpQTfBas7tiLh8cPEpV1S51m9tdl3XMQCBAU1MTdXV1OMbs2w6H8BZs2yZet25NNxtPZL7OVvjk6FHYtWt63opM78bWralKt36/6DnT0JDdizFRX22/X1R001aP0yKz5vks3l3EA3G8TV7cdW4MDjHte5u8tG9rB6B0a+l7+fGuD7+nVXdmyfv9jqtxECp/BLW1oo6n9o8hHBZtqpqb4dVXRZFsWRbVPgwGUWR7+XIx8wMUF8PwsKjH2dEhfl60SFQEOXNGVDXp6ID/+T/FtY4dU3uDe71NnDu3naqq3arPGlKEWVW1WyVsvd6qkqTff4T+/n0AVFf/CK+3SX0vZekRDhP7wpUxk8lQmk9bu39w8ChebyP5+WsB0o7LHLOpqYltY/dhq+Y+ZCNFLdFv3erQbBe35957k3zyk4MsXTpANDrAmjU9NDYOkEzGuO22OMeP67jrLiP5+Wby8+fyxhtuPvOZAozGAv72b214PPDEE9mrwj3zjLjFDQ3p8+FEvuhAQPT0VlrFT9Te/d2sUZRtofT7jmxE7a5zp73etLjeIIiblPxnyfv9jqkkk/ahVf4I6utTs/HmzfCf/wn/8i+ibmZOjlDOJlNqnOZmUZqrt1f0mlQaQ2/cKNpSAaxYkeqeUVgozu/uhi99SXTR+OpX4QtfAIcDl0kEirlc6f22sylaJSittHQrDscawuG3mT//cXVfMhlClqG4eHyQnqLktYFtCpQx4/GAGgSXeV5FxU7y89eO+zzZxq+rqyMUChEKhQgEAmnqO3O+ySR6WZbp7e3l619v46mnXqai4iKdnUn6+iQ8niTl5Xp0OhO5uToOH9bxm9/IXL4ss2RJgpMnw7z8ssR//ZdEX1+C8+ftlJXVAHcSiVQBOWosoxK8Vl8v3mvLuk40rzU1iUdl82bRQCVblbl3EtmIOvP7U46pra3l0KFDrFmzhq9+9avs3LmTefOm37P9ZkE2lZ2NqA0Ow82tuBVMp/R0NoJWtoVCE1Z+vJExS97vd0wmeTJXrMrDX1sr+lGazfDoo/Dcc3Dliiiqna2Rc02NMJ0rDaG1jaG1TacVWK1w333i53BYEP/cufD978MnPoHP/GtV0WoVbKZKzlS3fv+vGB4+hs/3MwKBF3C765g3L0vB8TFkRopnQ+Y1tab4ysqGtPHd7jouXdqLLENJyZZx41utVrZt24bVak1T35moq6tDlmXuvvtu/uM//oPf/e53+Hw+Bgcl3O48PvjBEqqr9WntQMvLxWtBgVhfKfvuuy81V912m8zzz0epqTlBSckr/PjHEv/6r0txue7hhRduo6EhlwceSD0GVuv4njKZxpna2lTv7vdCtGSzaNSN/QLKq3JMfX09jY2N3HnnnRw7doyzZ8/y61//+n2nzrOp7OkQdTbSv5r97xmmY9ZR5jqtf0mbGrJ796S9F25E3EB3YBYzhumagbLlK/3pn4oH/NQpUSi7pUUQd2np+P6SCsxm2LBBKPOJelFOhFOn4OhRkn/wEUIn/hPr8dcpWnM30v3fotA9yUo6CxTT+PDwG/T37yMW8zM6KnzgFss84vFAGrlO5O+eDFpTvOJz1+5T0sgkKaX2lfEzSSUbZFmmv7+f4eFhnnzySfR6PQUFBRQXL+BXvxJhBq+9Jr7ubP28ldaekGr/CWJ9tHGjxKc+ZQaKGBqCw4eTwEXgFJWVZoqKNrBhw4ew2+2AmA+7u8X1aseMIJnGmd2733mxMnnt9PHfqcPhSFsc1dbWUl9fz+OPP86qVasYHBwkkUhw7NgxmpqaJl1I3Yy4VnP4VD7wm9pHXlcn5jUlKEOZ+xoaRAP5Z58VVsB94m/7ZlDgs+T9fsR0fUCZEVMf/agwH0mSaFtlsYiOFTqdMIdrWSITWtbIZI9MhtFijOSHy4bxB4+S7/gQ+a+eoORMPvy5DxZOfwVcXLwFnc6Ky1WL0/lAVh+4Qq6A6i/PNJlPBq0pvqREkLNiHne5aiks3Ex//z4GB19izpyH087NJBUtZFmms7OT/fv388Ybb9DT08Pdd9+NZSyGoLlZeCVKS8WtUFp7xmKMfQYReqD1TijHVFeL5iXKeioSEYYS0OF2F7BsWQFLlkT49rf38/OfHyQ/fwNf/vKHmDvXPq6FqdY4o8yBMLGfeSb8z9ke5/S4gEka2gQC7Nixg8bGRlatWsVrr71GY2MjDQ0NbN26ldraWvbs2aOa1Gtra3l2rBPLli1bbgpVnqmIJ1LZ8UCcS3svISNTsqVknHqeivRvah+5wyEUt/LQKgUS6uuF9W/HDnHcypUi+jJb8YUbDLPkfTNgIukx0faraT+qHHP//fDII/CrXwlZpwSeORzw0EPX9rm1zaOzNZcGlfQj3mcACIZPk1uynHDfcWxP/B90j34R7rprWpfTmrhLS7fictUiSUYqKkSBGS3xSlJ6gJnWPw1M6gvPNMVrA+kWL/4ekmTE620kEnmb4eFjakR6tkVCIBDg6aefBuD1118nJyeHQCDA0aNHcTgcrBz73mpqUkQN4uf168XPhw+nj7l6tSDoUAhKSqCtDSoqUqR+/DicPi1+9njEuu3cOTMvvbSAgYEIZ87s5+TJX/LVr/4JweDtNDRI49qUZloqFdP00aNH2bVr14T+52tBtsc527jZFgp79+6lsbGRTZs28dJLL7Fv3z7q6+tVYt6zZw/btm1TTembN29m35j6msq9caNgIkWcSereJi/ntp8DQG/VjyP4qUzrN62PPBAQVYPCYTGvKekRy5eLleny5eK4ZcvEKrm5GZzOG15965944on3+jNkxZ49e564Gf5w3hU8/bSQHuXl6SQ40XZFBU+mlLXHVlTAN74hfp47VzzEBoNggJMnhSPVMMU6L9uxBQXCT15TI9LLtPszjjebywiHLxKN9pFIjDIUeRVDTjH651/nvPRDbOX3XZVCBkG0hYUPqefpdGYcjtXk5a3GZqvGYinH7a5DpzNz6dLTtLdvIxzuIhr1cu7cF7FYyrHbJ1h0aGC1ejCZikkm49jtKygo2EAw2Mng4K/IzV2J33+YcLgLp3MdOp1ZJeyioiIeeeQRvvWtb+Hz+aipqaGjo4MFCxYwOjqKxWKhqKgIg8GAwQCXL8MvfiF6d7/0EthsYl2TlwdGo/BuVFaKntivvw6//jWMjAjlvWZN6hYEg4ryhsFBscYyGkU/8KIiAxcu5GO1wvPPH2HvXh8bN1azZo1Bfdy6usYbYjweD11dXTQ2NlJeXq4uOjweD+Xl5dTV1WGezvOYBdke52zjPv3002zbto3y8nKKior4/Oc/T05ODr/97W9ZunQpzz77LJs2beKee+5hxYoVRCIRXnjhBfx+P6+//jr19fUsX76c5557js2bN/PlL3/5mj/zuwmrx4ql3IK7zk0ykuTS05eweqwqqZuKTQy9OkT8Shxdrg7bLTbm/fd5qvKOB+J0N3TT/e1uHHc7MDgMQqWPjaMz67JedzrHvGvo7hZpD3feOV4xP/00fPGLInbnl78UAbW7dsGlS2L/pUsi4tJshnPnxPynzIeBgDjf40l/ACfaPgP427/9274nnnhiz1THzZL3zYCiIuHsfPTR9AfT4xHEXVd37Q9QMAhPPgk+nyDu0tLULN/TI9giP19snwwnTwqVnZ8vCPnkScEGZWWCrLX7S0vHvdfpzFitHhKJUfLy1mAyFZGTdxv+0RfRv/AyV4o7KKj8jHq5eDxAT88/Mzz8KjZbNTpd9t9f+Lmfxmr1oNOZ1fc5OTXk5d2jnme1egiHu/B6GykoeJA5czbhctXi9Tap504Enc7MyMibKuHn5d1DNNqLz/dL7PbV5ObeSn9/k7oYUEimpaWFw2OyecmSJQwODnLgwAFGR0dpa2vj/Pnz5OfnU1paSiQibkdlpRAKPT0i027OHDFfFRXBxYvidi5YAH19cP68+HzV1eI85Ss3GITwAIhGxe04fx76+2HJEvEonT5tYvHiPEpKWsnPf5Ply2tYvjyHri4hVjo7hRm/ulocbzabWbduHeXl5dTW1tLU1ITH41GtBzNFgsrCp6amhnvuuSdtXI/HQ3FxMfF4nO9///s0NTXhdrv57Gc/y4svvsilS5fIyclh7969dHZ28vOf/5ynnnqKvr4+6uvr2blzJ2fPnuWDH/wg5eXlrFix4qYgb51Zh32lHZ1Zx6WnL9G+rR1LuQVXrYtwT5hQZ4iehh4GfztIqD1E6HSIqDeKc52TZCRJW30bvbt6CZ4KEumJ4P6UO20c+0p71utO55h3DJnkqeQr/u538OlPpxNvba34o+jpEfOo2SxetfjIR8Qq9tIluPde+KM/EtszBZIy5muviQVBpnCaAcyS9/sJTU3wta+JmfVaFXY2JBLwne8IFlBSuiA1yy9cCLm5sGrV1NdQwpyjUWF2+t3vYGhIqHqDIV2FGwxi3NHRtLFHR1sZGnoRk6kIu30lkmTAlFtGLHqFvBYZ/V0fQmd3AXDp0tOcO/dFfL5fTqqQFUVtsZRjtXpob/88Fy9+LU0JgyBgp3MdFks5RUWfJS/vHtUcroyfuRDQwmr1pCl5m62acLiLK1f2UVLyZxQWblL3eTwe/H4/586dw2634/P5qKqq4rbbbiM/Px+LxcL58+eprq5mzZo1GAwGTp4U66ilS8XX2twsBMIHPiBu409+IuYdn0+o6lBI/Azi637rLUHoZrNQ4+Gw2FdUJLwiLpcg+BUrxAKgowMWL5a47758BgYu8/LLL3PvvXfwsY/Z6OoSj+Qvf5muws1mMytXrlRN2ooCVwjX4/FcNxlq1fXKjEkzEonwve99j69//etUVVVx66238uSTT/L0009z5MgRXC4XnZ2dFBQU8Prrr3Pq1CmWL1/OHXfcwapVq2hpaeEv//IvsdvtNDQ0UFxczOps2RI3KMLdYbq+0YXOpmPeX8xj8MggXf/QReh0iIJNBbjr3OjMOpKRJIHfBQh3hQlfDNO3q08dw1plJe/ePEbfHMX5oJPizxaTjCTp/edehl4dwjzPjLfJi9VjJacmR1X877ryzjQDrVkj5pxjx1KEqhyzZIlIQw0EhPr+kz8R6aqynCosdeGCUN0Oh1gR9/XBrbeK+aq8XCwAmppSpP3gg7Bp0/UJpwkwXfKeEZ+3JEk/ADYCXlmWx4UZS5IkAU8BtUAQeESW5Tdm4tq/F7gaH/bV4PXX4cSJVJ6RAiWyKRYT0eYLFky9ujSbhe1VccCWlqafqw1oA2G6yhjbavWQk7MMq9WjHqbTmZEdVoYvvEJy7+Pk/tVuvP0/weFYg9O5kWi0G4djjXp8ONxNR8dfUVr6KENDv8HhuJcFC/4Gu30VfX3fx+ttxG6/U21kovVFZ6aFaRuU9PbuGdeURIvMcw0GB1VVu7DbVyFJpPnPT58+zYkTJzh+/Djr169n8eLF1NTUqOQXiUSwWq3Mn1/DwYNm1q1L3ZKaGuFxWLZMzFetrYKoe3sFAQcCYt7RwusVNXIU6PWpny9fhhdeEGEOIMarrha3UrlmcXExly5d4sknn+TLX/4yu3bZWbVKmO6VcgDa6m4TpWrBxH7v6Qa2TRax39TUpKaC7d+/nzvvvBNAzeX2+XzMmzeP7u5unE4n9957LwcOHODEiRMcOHCAzZs3AxAbCy54/vnnb/igNa1fu3NHJ74DYsV2+rOnKfxUIa5NLnz7feTfl4/eqsd/WJhcDC4D3kYvpvmpeg22ZTYG9g8Q7YkyfGyYqt1VxANxTj18iuFj4gEafm0Yb6NQraVbS987H3hm9PjWrcJPtHdvKntGO28GAqnSgYODsH9/+njxuHgNBODIEfFf8Xtv3SpSyLRpZTdAOtlMBaz9EPgn4F8n2P8HgGfs/13Ad8deZzEdzGR5KiXqaNMmsTLt6xOqO1u+USSSPotPBW1UVXU1vPmmqKZ27hz8wR+I3yMSERFT8XhaCHQyGcHvf47R0RZMplJ0OiM5OTWMjraKbcUl5L6VoP+Vr9Oe+CqFhZvx+0Uw3IULX6G8/O8IBF6mo+OviMUu4ff/mnj8CmbzIvLz76an559IJqPY7asxGHJxONbi9TaSl7eGuXO3Zf11FELu7d1De/s2Fi1qoKpqN2533aQFXrTn6/WiEpxOZ6W0dCunT5/mu9/9LqtXr6awsFAlbQWRSITW1lZqagRxt7QIZV1RkQrab21F3d7WJoQFiK9UmYPsdkHYkpRO3DqdOE8xhuTmirHcbrHt8GER5LZpk7jO/PmC3NetK6anp5s/+qNvs2fPl3jsMTNbtojHI7MkqsPhoK6uTiXj6aTITTewbbKIfWX82tpaPvGJT3Ds2DE++tGP4tWYSAsLC+nu7sbv92M0Gtm8eTPV1dXk5+fzkY98BIBgMAjA/v37efDBB2/ooDVtsNr8x+czemoUEjDSPMJI8wiVDZXMeXAO7jo38UCcnOU5jJ4YJe6LYyozEb0YxbbMBoBlrgVrpZWB/QMYCgzkrMih40sdDB8bJmd5DsWPFFP4cCH5a/Nx1bro3dP73uV8Z0aPK9uU7JnnnxcP55NPiu3/8A8iyb+aNQAAIABJREFUonznzlQdCqtVEHRvr/AZgTBFFRTAxz4mfEtPPSVSyZS0sne7CtEkmJFvXZblo5IkLZzkkI8D/zpWdP0VSZLyJUkqkWW5b5JzbnzcjGX1lLybpiZhtj52TKxIsynrTLWsYKIUMLM5vSiL1ysUNgjW+NSnxHmKOt+4Mc1krhA3xBkYOIwsx5BlsNmqCQbbCBuvYP3pCGwQ21yujxOP+5AkA6dP/xGynCQWu4TRWMKcOZsYGnqBYLCFaFQUlpHlOPH4EMPDr2C334nDcTeRSBejo29hsy1BmqCGqjYfXCFqhdBh4gIvmed6vV6++c1v4nK5sNvtqtlXS9itra0cGIvQX7du5di56UH7ylpKIeWiImHyLi6Ggwehqkq4An/4wxSZK7Xgk0nxlUciQnUr+1tbxTwGYj2nCBhlEeD1wm23zeVXvzpLTs4P+bd/24rDIY2bPxXs3buX7du3EwqFeOyxx7ISoFZtT4fgsyEQCPDd736XN954gyeffFJdNNx33300Nzdz4sSJtOM7OzsByM3N5eTJk3R2dvLEE0/w8MMP8/DDD3Ps2DEANm/ezO233z6uIt6NBiVty1XronNHJ6MnRinfWc7IGyPYb7cz5+E5XHn2Cn17+4gPxhk9MYrBbSDujWMsNGL1WIleihJqCxFsCVK4uRDzQjORtyOcffQs5vni79NSblHTy0q3ltK7p/e9z/nOJmq0ihwEge/aJer+ArzxhjB7//KXYv5TsmpABJOcOCH+MGpqUjnfr72WKmpwAz0H79aSaS7QpXnfPbYtjbwlSdoKbAWYP3/+u/TRrgM3S2Nh7SKjrk6sSv/f/4MPfUgQ6HSVtQIlBezCBWFvncjns26dmPUvXxZyDtLVuea6OTk1hMMXGB1tITd3GU7nesLhLoLBNkymEvLy7iMhmcjtt7M092sMJwbx+f4Th2M10eglAoGXsVqrcTrXk5u7Ap3OTEHBBszmUiIRMY4Cm20Z+fn3I0km4nEfFy/uxGZbQknJ5zCZitJ+hYkUtttdRyIRIpkMEY8HMBgcWY/VmtOfeebfkGVZLYKS+jpThF0z9p0or0rdG6s1/TbFYuJrBSEa7r5b3AblMXzllRQxgyBuo1Go61AofXtenhjr8mVRfl7xmTscqTbwly+DJEls2FBGIvES587dPxaQlv3RD4851ZXXbMhU20op0z179kw7L7ypqYkdYzm6b7/9Ng899BA7duwYV/a0qKiIy5cvMzQ0RE5ODiMjI4yMjADwgx/8gLa2No4dO8bKlSv57Gc/y8MPP8yXvvQlNW3sscwi8DcIDA4D7jo37Z9vx9voxV3vRm/R07+vH1u1jea7m4l1i7+33JW5AIK4S43EfXGMLiOhNvFASDaJkv9Wgq3aRv9P+zGWGBnYP4D9TjsD+wfwPui98euiK4p82TJB1I89Bh/+sAgSufNOocR/9CNB3Hl5qcjN5cvFKlj5ubpa/Lx5s1Dra9fecBXY3i3yziZp5HEbZHkPsAfgjjvuGLf/hsM75YuGdMKF61P4mYuMJ54Q4cV33TWeeLWqGtIVthLwsWaN+ONoaRG+bcW0njmWwyHMTNrxFHU+dp1ktYfR+FlycmpUsk0m40SjfQSDbej1eWPpY0ESiSH0kbsxnF/IoO435OXdh8NxNwDR6CWCwRas1oq0YLJIpJdgsA2brRqTqQRJMqjkDqDX5xIKnUeW22ht/STl5V/F6VyrEnEiEaKjY7yfO5tJfLJyq+fOnePYsWMsWLAg4+uOEIvFWL9+/Ti/98GDzbS01LBxo5mamtTXqDVelJYK03lZWbqHo6uLcYjF0nPFQVgIz55Nmd79/hTpr1ghyL6nR3hWRAEYHVeu2GlsbOSv//qv0emyByopxWUsWmWTgWxqW0voWtP7REReV1eH3+/nmWee4dixYyxcuBBA9Wv7xyZnUaWumDlz5pBMJvnNb35DYWEhBoOBixcvsnHjRubPn8+HP/xhtmzZQlNTk0rcN7rv29vkxdvopXBzITnLcogPxincXMiVn15Rids014Tzw07khMzoiVEAIm9H0Fl1FP1pEZf3XkYOypx55AyRixEKNxfSv68fd72bip0V+A75boy66JPVKNfOlUpmzqc/LayLTqcwRTkc8O//Lo4bGhIr4+5uobgVnDgBn/iEMHNVV6cUvuL3hhtCrL1b5N0NlGnezwN636Vrv3N4J1slZev7CFd3ve5u4ed5/HHhr1ECObxe0Z5TS7YKacdi6VU/tAr7uedS/iKlHGosNnkhFrNZMMrx4+K9UgLs+HE4fJhRfxEDlZdJJmPk5a1GkowMDorr22zVGI2FhELtRKN9mEylJHUGQi/+mJGiblyujSoJFxRswGJZgNXqYXi4GavVg9//HMFgC0ZjCSZTCXb7qnFR4qOjrfj9B1XTfGfnl/B4vsvIyBu0t2+jsHDzuNakCrQm8Xg8QDIZorx8Z5oaB0gmkzQ2/hBJugCUAqnP0NrayuHDh9m4cWOa77u1tZWWlgMsWwY1NSvT6t1khhacPZt+G0AQusEgiNhsFuu0QCClqsPhVO1zo1GY05XCLXa7MMHfcotIP/vEJ9IflYKCAs6fP88LL7zBmTN3ZF1TbtmSagQzkdk5m/9aS+hT+cEVs/ujjz5KfX09O3bs4PHHH+eee+5RC7IA5OfnU1ZWpqbllY6lPX7hC1+gra2Nffv2ceDAAS5evMjOnTspLi4GYNOmTezfv/+G930rpJoIJejY3qFudz3oIpgXRB6SifZE6drZRcXOCkZuGcHkNtH9zW5Cb4WI9kUhARghcjECgP12O3n35CEj31jFWbJZOyebK2+/XZi//X4hWkCocMWspLj1bDaRZgFiHjt5MlWwpaQkvbzgOyHWrgHvFnn/DPiiJElNiEC1oZve3/1OI9uDcrUPzY4dKd/P2rWpMqijo0J5Fxenl906fBgeeECY0j0ewQDV1SmF7XaL90pukDaozeOBF18UDtP169Nnc61UBFi9mqQcRwdEo8L2q7ibc3JqSCZjQJxIpI+hoefJz38AkIhGexkxJLF26XDmfpicnJQdWaczY7evZHi4GZ/vADbbMoJB4UOPRnsZHOxDkgxIkgiE0+Z322zLVKKVJBu9vd9h7tz/jttdj9fbiCQZ1VKoE0EpvaqcIz6TKL967lwvp079F1brywwM+Cgo2IBOZyYSiRAKhaiursbj8aSNl2k+VyqqKQYObWiBx5O6dYry7uwUt0/xb1+5Isbw+0Vygc8nhMerr4rjIGUpbGsTfm6jUfwci6VfT5IkCgoK+NrX9vGrX60EJLXiZKqFqGPajVgge7nTifzgyrGhUIjt21PlbpUSqFarlSeeeIKOjg6am5sZHBzk8OHDbNq0iddee43u7m71nCeffBKj0chjjz3GP/7jP3L77bcDsH37dhoaGrhvrIHO1fri3wsUPlwIgByWGX5jmP59/Wn7CzYVqNsLNxeq23X5OhKDCRHA1hkld2Uu7no3vkM+2re1M/zaMFW7qtIC096zJiWTzYtKVHl9faoYf329eMhBELlSBlXxB4FI03jkEVGYZd48USYaRET68uWpsd7NvrbTwEyliv0Y+CAwR5KkbuBvACOALMv/DBxCpImdQ6SKTT4TzmL8g3ItD83OnanXVB4P/PEfC7+33T5eLRsMYpvS5nP9ehHqHIuJ9ImNG9OJWSHx5maxH0Qu0oYNKbVdXS3ssqdPqzbZkUqIBiBZ7SHfPn8smCqCTmcmL281w8PNBINtWK1LCAbbiEb7MBjykfRmopEL6GJLARgeblbJOJmMIMsxnM71YxXUFmA2z2dw8LeYzcLn7vMJearkhYdCZwkGW7DZqsc+uhVJstLZ+Vd4PLsB8HobcThWqWSsEH1f3146OraTSIQoKdlCMhkikQhTWdmALKfKr546VUBubiVW6wh+fwvt7XDHHRtobW3lyNh3VlFRkZa3rJjPIXUrli0ThotMPPdcioAV03phYep2RiJif65weTI6Cp/7nNgWjwv13d8vbrXZLIRGX19qjGwwmewMDl7k7/9+gLq6OVkF0dUEoWUGuMHEkeWKIm9oaGD37t1qPfKGhgYAtYNYc3OzGnimmO/3a1KEnn32WU6ePMldd93F4sWL+clPfkIgEGDv3r00NDTc0KZyLZSI86rdVZQ9Jgyc8UCcvHvyGHhuAP8BP65NLvLvy6dje4dqCk/GkgzsHyD2tjDjKMQ90jyimskHjw7ibfSSvzY/TX2/Z01KshGow5GqVx4KpecvPvusIGGlAUlTU8pEXlIiVqXf+pZ4/+KLwsT+xBPieKX7zqFDNxRpK5ipaPPPTLFfBr4wE9f6vcW1RLbPmyeCMxQoD2B1tZBgsZiY2c1mwQpap6n2VZFvk6WN1dSIP5y+PqHMFSUP4rwFCwR5j7GJ8Uwf/nJw5lUgSUYGBgSpKiliSs53MhkjGu1Dr3dgNpcRifShkyAy2k1yxIDfL66Rk1PDwMDBMSJeRm7uClWJh0JtWK0V5OTUIEnGNNN6MhnCZqsmN/cO4vFBLJZFRCIX8fuf48yZrSxd+kMcjlUMDr7ElSv70uqUK9aCQOAlSkpEU5Rz57ar6WRK45PXX/+/uFxubLYNtLfDc8+1YLEsoKamRs0prpkkaFDbcTVbyv26deJViUqPxaBdzKuMCvemSsiQSgJQ0vKViPKSElH0xWoVxP7AA2LBUF09PsHg1CmJY8fg/vs7cDjmjBNEM9GQZCJoFwVKffLt27eze/du6urqsFqt1NbWsnbt2rRc8zVr1rBy5Uqam5uZP38+LS0ttLS0sH//fpxOJ1u3bqWpqUkdS/nc7+TvMhNw17lJhBIkQ0nigbiqhHVWHfkfyBfkfZ+L4i3F6K16VS0773MysH8A53ono62jRHuizPnoHEq3lqrHVOysAEQ0e7g7TOeOTip2Vtx4AWva9p4K6a5dm9r//PPiv9a3vXq1IHabTRSLOnYsvTH9li3ZUykUvMfZRrONSW4WzGRku8Mh1PHhw2IGz1ZEZar3mTCbxcyfierqFOEr5N/aivVIG0XrlmGqTElJWY4xMHAAWY4RifQyOtqC0/nAWAqXRCIRJh6/glWyEoydwSHPw+XaiNXqUYnbZColGBTkaLevHDPDhwiHO8cWBOkkHwwKH348Pkg02ovf/1/odDoslkqGho4wMHAQgCtX9pGTs3ysyMsqysoeo7h4C4HAa3i9jTidD6iNTxIJEb1bWrqV/v4LdHY+T1XVWnQ6M3fcsUElbrPZzIoVK2htbU1LF8usQqZ0XC0tTV9vaW/nQw+J7VarOKavTwTP5uaKLD2l6q3XK7Yrt+SNN0SaK6TIXfGpd3UJEldi7LThDzU14PNZ6eg4TiBw14SNSmB6gWdbtmzBarVOS6VnKvKpFL62n7dWjYfDYVV5Z46h7TamdCWDa2+u8k7C4DCgt+pp39aOzqqjdGupqowXNSyianeVSsZalVy8pZhEOMHlxstEe6IASBYp7RjfIZ+qvBUVDlD9o+obxw8O6abzTNJ9/vn0oiybNglz08MPC+JubBTkna34SqY/SIv3ONtolrxvFsxksERRkZiRryVNTIvJWn5qlbyyTwmV9nhg40YsNTXEkxEGBn4BgNN5f1qKWE7OMnJybiWRGCEUehtZjmMxLEBviZI0CYJU1LVCxk7nOoLBNmQ5pprho1EvwWAb8fggVqtnjNyXkJe3BlkWyjcv7wMEAq8iy7Exc/1S7PY7icWuIEniz8RiKWd09ATadHCHYxV2+yrVnC7LqNHpZWWP8eabPyAQeJnRUYfqb9eax5U0sWXLltEyFgyYWfYTUgXsDhxIrbcyv/5stXWUQDclotzrFXPQ8ePiFn3606LsKsAHPyhM9MojoYQ8KO8z1b/Dkcczz7Sybl22dNvpB56J7zFFyFerdLXnZnYJ036W2tpaVq1axUsvvcSOHTvYvXs3f/M3f5N1zGeffZbt27dTX19PY2Mj9fX1N7TfO1MJa1+1DUh6vyvKnObdlUfpo6WMtowSbAmq4+gt+gnHddWK0sSKGr+hMJmb0WgUr8uXC9+2EkzZ1JRKA5tIPU9G0O9xANsseb+TmGmzSigkqmdcb5WfZctEIQNt/tG11OfNbPmpsInHI9gic1zl+I0bVRXv7z9IKHQawibw2zEk5hLsC2OMfRhJquBS8C3ijn5wJCBhRBeLMbqoAPwRZJMZ2S6rgWuK71uSjPh8B5AkI3b7SpzOdcTjA0SjvSQSIrdXp9MRiVwU1wYslgUUFj5EPB7A7zfidK5jePhV3n77f1NZ2cCiRQ3IchiH4y5kWWl4spdz57ZTWdmgCXgj7dVq/SB2+0FGRt4kGhXSVluHXTGXezweFixYMKX5XPuareOq9hYoFdKqq4VJ/NZbxTzW0pIKsl29WhA4COLWRqyDSEFTbqGSYODxiGMXLzYyNBTk05+WyZ4NKnC1BViup41oXV0dR48eTSPcTKW+b98+Vq5cSa0SiJTl2lp/umJ+vxFN5goyVbX2vRJclgwl6dwhitQM7B9AZ9FRsbOCeDAOMcj7QB7FW4rHBaMp4xgcBqp/VP3u/3LXiyefFA/+44+LcoEg5tHt24WZXZvDnzlnT0bQ73EA2yx5v5OYSbOK0jwehG30esarqBDVOVpaREkuyE7kmdJOKW0KQrZ5PGIh4PGIfQcPijGVHHBIN7Vr2EeWZRKBBBbfWiLtRcijJiTzXJLoMclGJINMTH+FuHwZDDEknQkpacEQNDBoXYTp/C3Eup34Tg5gnmvGVLyYkXgrNnvKj63USBetQT+N19tELNaH0ViC07kenc5MKHSOUOg0yWRYDX4rLBT9yy2WCvLzP0Rx8ZaxHO70aPJA4CVAfJUKiou3qO/j8QBgJhbzqalu2gh5LbQBauKrH29Gz/RcZJI5pAi9ulooZ8XXrdeL89etE5HnmfXPJxpP/J6ptZgSmyjWYDqqqpLk5iaBdMWWrQDLdDFdss+m0B0OB7t27ZqScJubmzl06JBaGCZbpTfl3OmY/W9kaE3oFTsruNR0ieCJIDIylnkWbv2PW9OOvyGqp80klNgfbZ72RMics2+wCHMtZsn7ncR0zSoTKfTMymhKaazrNdM4nWJWt9lSpvNsMi4zuVghZwW9van3SiOSZcsEQ2gl2pgST3qqGY5Wkjg6CvIoiWACJLBalqDL1YEEspwgGhwiGruMxVSJ0VJAjAF0BhMGfQF6wwiJRYVY82zi2JAXuauA4XMDRGNXGF3kI+o8BqY4ZnMZDsdqtW56LCYYKyenWlXKFssCQqHTRKP9hELPEw5fUFO5dDojRUWfwWBwqBXVEolBCgs3k0yG6e/fh9tdn5ZGllm8xWBYjt2+ipyc3LQuZgoyq6tlK5OazYwO6WSuVdwbN6ZKp/b1iVutZPv19optpaWp1DDteNo1HIiwCMX3rTwaHk+EZctaqay8haEhXdZCLdda7hQmr1+uxUQKfbLztfnnEzVOyTz3eiwBNwIyTekyMsNVw2pq2VTHv2+QOR9brePn0hssl3syzJL3O4nprtomUuiZ26+lRKOyAKitFSkPygLhoYfg298WuY/RaHoisQKtFFO6YVRXC1sqiPcKM7jdqYWANn1sTAbKbW2MVkTwd4qVvHmhGcsCkb4jywmi0T6MJjfRyCViscvo9HYMRidIIFGJrO/FcGWUoflmRswDSBE/yBCOnsNiqSSpH4JwBPniInRvf5hkSQtJWwIQhViCwRb0egeJRED1YYMoBBOJ9JKXtwZJ0qvBbrm5tyPLMvF4kNdfv4M5cz6KwZDP228/MfaZobKygeLiLepCQKnK5nLVqhHn/f3nMRhyKCjYwOhoKwaDh7a2s6qi1uZzT1YmVcFEgW2ZHokXX0ydU10ttilN4hQSP3t2fAyidr2moKQk1RgF4OxZUUBm7tw4FRUVWWvCT5eArwfaBcJ0/OTKMZkpYFMtNK5nIXIjQGv67t3Ty/kdotF7/j356Ky6cbnaN1RRlpnEdNJvs83ZN2gPi1nyvhEw0WpvJlaBygJASZ+AVOWh8nJhQz13LpXTrZjHFfmlzO4TpY4p6WFKfngkkop6UjqGDUcYIUE4mI95vhlJL4EO5LiMZJCIRb2EQmO5TWM8kEwMEw6/TTzWjyHpREokScZC9C2FWFj47czmhVisVUBSHGcpwmItIDQyRPLifML+fGJ3R8kpqCEc7lTLpObmriCZjDA62koyGSIYbMFsLsXpFDlXVquHRCKA0VhIW9tmIpG3GRlpZtEi4fsOBF6iv38fLtcDafXOlfKoVVW71fKo8+bNQ5ZlRkZa8PkO0tOzjOeeSwWmac3lWsLONKMrmEiRT2TyLioSvm6loZtST0cxg0O6N2TRIkH2oVDKR54ZuqB8zuLiYpYodVXfA2QLVIOJ1fG1KPXp7L+Z4K5zkwwlkcf+va/M4+8UbtAeFrPkfSNgIoWu3X6tqz+F+GtrU1GVylgf/7gI2Egm08/JZkI3m8Wsf/CgMIs7HCmyVrpmaP3eQLJmBYHRRSSGIshlLgylLmSfjJyUCXeEkXQSplITBqMLQ7wQWY5jNLlF1XsJkAUpxyN+cnokBu8uQu8uIx7pQ06OkkiMkGO9BVlOADpMY8o9nvRicBZi1Bcy9LshbEttmIrKCNKG2VyGTmdWK7EZjaJ4SzgsioEHgy3Iskxubg0WSzmRyNuYzfMpKvpDJEn4tEtKtqipYVpoy6UqcLlczJkzB1l2UFCwkaIij5oqBuOVtNZ0npkyBuMVufb8mhqzuuYyjP1lX76cUtjaaPTM262k5C9bJkzkbW3itmaveCsWFhcuXFArksF7mw89HXV8syvomYDBYWDeY6JpSzwQV/O+ZzEJblBT+ix5vxe4FiK+3tWfdiGgBG788z8LUv/pT0Uo8bJlYmYPhYT80pbsjETgJz9JJQU/JIK60hyloZBqWk96qvE+6yV8NixM5BVFRHujhM6GsCyyYPVYMbqNyHGZsM9L3NRPPNaPJBkwW+YKU3rkEhZLBYbRQeJWG4HbjBiNBchykki4E70hl0ikD6NRpLDIcpx4YgiAZDKMZE0iGfUMvnkRfYkBq6daraSmdDFTcsNDoTYsljI199tqXcj8+X+F1boQl6uWzs4dXLy4U21CMlkbUC0kSWLFimoOHPg+lZVr0OnSFXWmkp7K152pyLXHw0p1zaWtxJapxpX6OUrZ08xa6WOlv6eVRVhZWan+/G75hicKVJvqmu8nBT0TeN+ax2caN2jQ2ix5vxe4FiK+1tVf9rqVqdecHBgchJdfBpNJVO1QypxWVKQHr/X2ipldKemlQBviDFBWRuBkhPDZMIYCA+a5QkEa3Ub1VTII+3i0N0rsXA6GJQsx5BmE8gZiUS/h8DlyKUY22Ti30I6+cw7JxScwm6uQqCQeHyQev0I8Xkg81k80aieZGEaSLCQTw4RC5zEY8ogZ24m9bYf4KKGVZ7HbV6otQ5VmJqGQ6GxmsZRjNLqorPwGRmM+paVb6e3dg9fbiNtdj8tVS2/vnnEtQoGsXcXi8QA5Oc8yMPA7XK5cLlwwqqq5tbUVj8fDxo0bxynqyVLGtMh2fLb655DyhogKtRG6ulpZsUIofO2xmedlw+joKE6nE7c7pdpmStlOpeBv9gCyWcxiJjBL3u8FroWIr3X1l+1amWNt2SII/PRp0UoqS7/tcT5vBZEIxGIkH/gIQRZgK1tIYmE1wYND6PP16HP1RC9FMRWbkAwSRreR6CVRzclUbBoj9FwMefnEB+Lg1oEBjCY3+tAwRkM+/jWPYoy8SqjnFCQtSNXnkOJO4uErAOj1dkBHPHYZg7EIi2U+4fBFrNZyAKIGO8mcEaTeKqS5C2GsnbZOZ1a7jzmd60gkRpDlOEuW/ACjcY5K0lpz+GRtP7OZzb3eJnJzD7Jw4S20tgZ5/vkXuHDhAqWlpWo3sYlqmmdDppk98/jJiuApa6wHHohQWnqQtraWsfXZ9K+X+r28/Nmf/VlasNpMKdupyHnW/D2LWUD2ZryzeGehkOdEJvNAQJi2tZ1vrhbKGDD5tUAo7j//cxHE1tMjGGD16onzvbUYc5hGvUmuHIkyYliM7/kRot1REoMJIhcihDvCxLwx5LhM6GyIcEeYcEeY6KUoMW8Mo9tIfCBO6GyImDcGsow+cAlZb8B39x8T0PVjNgnftP7KCuTTS0gaBtDnmtAbCjAaCzAY7JgtFRgMdiRJj8GQhyQZiMV8JBPD6Iy5yJYrDJ+8zFDfGySTwvGrtA29fPnfkCSJhQv/D0bjHNrbP097+za83iYMBodK1IlEiMrK9Bah8XiA3l7xXZeWbk1T5G53HUuX7uaLX9xLSclcampq1Epq69evJxaLEcl0Qk8CxUze2to65bGRSITm5mYikchY3/Bm1q+PYDC00tvbwrJly6ZU+Mr1jh8/ro7l9/uZO3cuq8ckeiAQYM+ePQSu53nVoK6uTq1Tnm18ZZFwM+Zcz2IWM4VZ5X0jYiaiG5Uxjh4V3XWmmuhsNvjCF0Sb0G9+U/i/SwRhZg1gUzA2+Zs81RQsiGMsMhLuCGOYY4AkxH1xjHOMGN1GYt6YIOs5RvR5oqhH6KzIXVdN6nkJ6OhmpMJF5zwT5mQbwYE3sViXYjSVEov2kugBfCVQ0Qn5bxOSgyRCQXR6B8nEMPH4MPGYaDVqGjPDGwx5hHUXkUMJBk+cJbKyg4KCWnJyqolGe4nHr2AylWGxzE8zk2eq6I4O0XhEmx7W3v55tXBLphpXiL+kRGbVqlXYbDYWLlyYlhpmNBonVb/pX/fEAWuZAW7K+LFYjK6uLtra2li/PsaKFSvGosizB8Vlu14sFuPAgQPIskxBQQFbt27FMBYVpyjlo0ePsmvXrilJNdMsnvk+U8HPmslnMYvxmCXvGxEzEd1YVyeIW+muM51JT6cTfu3habZLAAAgAElEQVSXXxa+8HBYFHRRIprGumLEI3r8z/lxrnNicIgQZh2Qu0LG/19+EuEE8StxLOUWJIOEpcKimszlpCg/Zio2ASDpxHaJKDbbFaJeiQs9DxAtuB3HisvY7FUABEffBMBqXSqiy2Uwdn2EqPcMidJWyO0nySh6qQiz3o0clDEaXUiSHrO5hEikj3i8D31uPoRMhPrPETC+QmnpVnJzl3H+/P9GrxefyeWqxe2uZ/78x/F6m1T/djazeF/fXrzeRubM2ZzmDwfSzk0khrnvvhitrTGWLFkyLsc7GyYi5lgsxvHjx9WmJgcOHODChQts2LAh7Tgt8baNVVmJx+OTRrNnu+7KlSsJBAL09vaSm5vLihUrqNZUeNGWJF27du2UBJtJxjNtJr/Ru4DNYhYzgVnyvhExE9GNDodQ3JO1tJsMtbWi884zzwhCj0bhN78BoxH/hfmMtohek4UPpao0xf1xkiNJzHPN6Iw65KRMzBsTgWhjypskhM+HAUHgUiKMIdAPJhPDngcZ8NcQzZUIvRlCkheQuyEXZ+6DyN4CzCUm7PkrGB09hW/g5+j0FiL9/dBfhMW+GtnRj849StzqI2E8T1AaxGyaj4QOnSmOyVyEObGIWJ8BqfUDLLn/L7DZFhGPi5xuhXR9vkOqktYqaq35XIHi8s3Pvwef7xDt7dsYHDyK3b5KbVBSWroVr7eJ4eEd1NU9zo9+dJG5c+dO6d/OFnl+/PhxDo/ldRmNIvjtwoULtLS0sGDBgnH+85qaGl577TWWLFnC3LlzMRgM48aMRCIcH0v01i4ItMecPXuWlpYWysrKsvq6tSVJp0ImGWcj50wCvhrFPavUZ/H7gBkhb0mSHgSeQhQ4/hdZlndm7H8E+DrQM7bpn2RZ/peZuPb7CoGAKJgP1998BK5tEbBlS6psoMMBt90GJ0/Cv/+7UOIOB87bk8hxMya3iWQkic4sQidiV2Jp/SmMhcIULidlopeiwpxeoEfPKMbQIFyQiXQbGL7tg/jDt2Lw5zF4ZBDneieSXiLYElSrsIUOLMC60YVupZmcnFsAMJvng5zAZC5Bkgz4e85DDzhdn0EXuUAodgKj60PY7SuRkkakRC4SEgH/G/iPv4i//gg226JxpKyQuMOxBhBKfCIUF4s+3so5g4NH8XobcThWUVGxE7//yJiST6n2aPQof//3f8+aNWvIycmZcOzJlHl1dbWqjDds2KA2NclUza2trRwZyx4wGo2sW7dOJX3l2FgsNm5BkHndkpIS1q1bx3e+852sn/lqCDbz2GznXm9zEu3rLGbxfsR1k7ckSXrgO8CHgW7gNUmSfibLclvGoT+RZfmL13u99zVmsvnItSBb/rleT7zyVrwLi3H/+H9g6D2H4eWXyTn7GkNHutAP20WtUKOFeFSPTieR6E0QPR9GFzNhkOPELgxhyNNjn6vHkKcn7HAy5FyBdPsyhvschM9HCbYFscoRXBtd5NTkkLsiF5PbROhcCFORCed6Jzk1gjR0OjN2++0MD79BMHgKs7kMZMjPX4ckGcjNXQ4yhEbfIjLkRxc9S27uciSdWFnk5t9C3Arh7ot0S0+llTgFVBO54svOz187YV53JvFXVe0iP3+ten5//z4kyUh19Y/U43p6enj11VcB+MAHPsCZM2cm6OMtlLkSeFZTUzPmrzaqx2eSdXNzc1qJ1VgsxgMPPEBfX984da4cu379etavX6+ek2kRGBgYQK/X8/TTT1Na+u7kBb8btdFnMYubGTOhvO8Ezsmy3AkgSVIT8HEgk7xnMRVmsvnI1RSCUY4NhdTFQ7zuc2pbQKUrEburKN16N9x9N+b/bwTd3tMEevvxfusUFrzYy4JY5utJDIYwVljRzbWR0OfgD+QQ8udju7UM671lBFrBd8CHqzQf+x12rFVxZGRMhSbkmPCJ68w6ot4oodMhQqdDuDa6VIUPkIwkkc8uwFm+AVmOMDj4HE7XgzgcdwGQa19OONJFKHiKcOitsfagohqYTmdGwkDX8e9B5C218IoWXm/TtHK7IVXTXNmvjFVRsTPtVcFnPvMZNfDrG9/4Bq+88gqQPWUrEolw8ODBtF7fExVpUch6/fr1akCcko72sY99jIqKiox88PRyrJmQZZmenh6cTiePPfbYu0bcMEvAs5jFVJgJ8p4LdGnedwN3ZTnuYUmS1gLtwP+QZbkr8wBJkrYCWwHmz58/Ax/tJoPDcW3NR7JhuhHrgQB8/vMisK2hAXbvhrq6FGGTvcuQwZ1L8f+8g66nuhjEypyH5jBk1TEwFMf3O58wfRsl5JiM3+8X59icWMx2rJ44tmU2rB4ryUhSVF0rs+A/LI6TjBL2lXac65yQAFOJSVXdCkZbR/EfGMG1cTFUinViuCtCbqUw4+t0ZiyWMkLBU9hst6imdgUWczm57r/AVjmK2103joCnm9sN6cVZlOPd7joslnlUV/8o4+sWvtyNGzdy6NAhvvKVr/CVr3yFgoICZFke1+SjtbWVlpaJ07oyG5soZJ0ZEJfNvz6Zzz0cDtPb28vtt9/Opz71KQ4ePHjTBIDNBqzN4vcBM0He41sKierUWvwc+LEsyxFJkv4b8DRw/7iTZHkPsAfgjjvuyBxjFpnIpq6VbWvWiGYktbWTH9/UJIi7vh62bCGODW+TF8caB+56N441DlWBK52H4oG4uq3w4UICLwWweqz4f+3Hca8D10YXckzGd0CQuHO9E4DcFbmASA/T+rN9B3xYlliwLrFinmvG6rEy3DxMTk0OhZ9Kb1uYjCQZbR3FVGzCVGrCPN+Mwb6cSFeC4H8WMrB0gIINBejMOmE+h7SnUTQkOYVB8uAu/iT58/IB6Op6io6O7SQSIcrKHktT0C5XLYWFm4nF/MTjgXHq+2qIXvHl1tfX09jYyO7du/npT3/KD3/4Q44fP47T6SQ/P18lcYWAPR5P1ijxiRqbZO6bLKVMi3g8zqVLl5Akic997nMsX76cL37xizSONbW5GdTw9fjLZ4l/FjcLZoK8u4Eyzft5QK/2AFmWBzRvvwf8wwxcdxbZ1HVmFzFtmthUpVIdDrx7emnf1o673o230Qugviom9Jg/xvkd50mGkuisOvr39asfyTDHgGOVg2Qk1ewkd0Vumsnb6rGqyltn1hG+ECbYEgTAPNcsrtEXI3gmiM6ow7neicFhIB6I0/+TfqK9UYwlRmJ9MQZ/O4j7U26c8+8k7u5XFwX2lXZhHpeM+Hw/JxLtxel8AL//CMHRN3FEPoHOshCAcLiby5f/DRA10TNN5D7fIfr799Hfvw+j0TlhLjdkr7KmheLDra2tZdWqVYRCIfR6PY899hitra0888wzvP322+Tn55Ofn68SsNaXPXF/74mVdLYIci2h6/V6Ll26RDKZ5P777+fBBx9kzpw57Nmzh8bGRurr62+aALDr8ZfPRqrP4mbBTJD3a4BHkqRyRDR5HfCH2gMkSSqRZblv7O3HgLdm4LqzyJYPnq2L2GTHZ0SkK6ZxV62L/LX5uGpdOFY5SIQS9O3to2N7B3M2zwFARlZbDMYH4/Q/24+pyKSqYwD/Yb9qBlegVd45NTmYS0XkumSQCF8IE+sT5VnDZ0VKGXqRkuY/7FeJ21ZlY6hvCHOJmWQkif85sc+2zJZmYs/JuUU0IBl9E+QEwTEzukWuwDJfKP/Ozh2MjDSTm7uS4eE3uHJlH8A45Z2TU00iEcqqvhVkSyfTQuvLtVqtbNu2DavVytatW7n11ltV8/czzzzDhQsXMJvNFBQUTLvm+UQKO9v5LS0tHDx4kIGBAZYsWZJG2gq0RHizKNHr8ZfPRqrP4maBJMvXb52WJKkWaECkiv1AluWvSpL0d8Drsiz/TJKk/4sg7TjgAx6VZfn0ZGPecccd8uuvv37dn20WVw/FLO6qdeE75CMRStCxvYPKhkpkZJLhJDqLjpItJaopvXdMsdvvtmMsMOI74CP/gXyi3uhYMZfUOjEZSTJyfER97z/sx7XRhX2lnaEXhxg8MojVY8VUaiJ6OYp5rhn7KjvDrw0zeGSQ/Afysa+yM9o6Sk5NDqOto/gO+DCVmij8dGHatQDioRD+juMYS5IMDR/BYf0wuriNW3bdj9GYRzjcTUfHl0gkYvh8+7Hb7+SWW57FYhGtE3t799Devg23ux6vtzGtX3fadTR+83g8QGfnDioqdqrjZCIQCLB3LDVwy5YtaeSYTCZ56623OHbsGMeOHSMSiSBJEgUFBVit1nG+cQWvvPIKhw8fZv369Wr5Ui2SySSDg4MMDw8TjUbx+/386Z/+KWvXrk0j7XcTs6bqWcwiBUmSmmVZvmOq42Ykz1uW5UPAoYxtf635+X8B/2smrjWLmcPIWyOceeQMi3+4mNyluep2JVhNMZ1XNlRStbtKNZt3bO+gandVGkm6al24NriI9kWxVFpUv7fWjK0o8pyaHCSjpPrElfQwAPsqOzqrjpyaHHRmHcPNw/gO+JAMEpJBwrneqZrhFTWfU5Ojmt5DZ0NpKh8g1BYneGAuzo/m4iy3EGyNE7lrF/39/ZSWbsVimYfT+QDt7duw2+9kePgYPt+hcaZwl6tWTQPLDHCD9MA1Jd8bUIPWspUBzVTfCnQ6Hbfccgu33HILn/3sZzl//jwnT57kpZde4uLFi+h0OpSFt8ViQZZlzp49q9ZJD4VC+Hw+wuEwsVgs7fjFixdzzz33sHTp0veMsLWYNVXPYhZXj9kKa7/HOPPIGYaPDdNS28Kqk6tUMs40nWuD1bJFngP0P9uP76APAJ1Fh8FlwFZtQzJKKjErChlSfm/LIguRi6nGHAopJyNJhpuHMc83Y1tmQ47LDB4ZHJcyppxTsKFANcNnQtlmrbTi+9V8IqcDFGyuxWX9JL17enHXudMI2uc7NK7UKaSbxBU1DmT1dyuFXbRpYtlIajpmWoPBgMfjwePx8MlPfpJgMIjP52NgYIDLly9z8eJFfvGLX3DkyBEefPBBPvaxj7FixQry8vIoLS2lrKyMgoICTCYThw8f5g//8A+vSeG+Uwp51lQ9i1lcPWbEbP5OYNZsrsF0c7avJrcbobxbaluIvB2hancVpVtTebzaiPJMM3Q2dD/Vzbnt53BtdBG9HGXktRFs1TbMZWZVKWuV98jxEfyH/ViXWAmdDmGrtlHwsQKVmBXFbVtmI9gSVFPPFEU+FZRrWT1WQmdDadfMvSuX5b9anmZhqNqVbklQyLmqajeA+rO2T3em8la/u4x9CunV1tZy6NChd8Q8PB1i3bNnD9u2bWP37t3XpHCv9/xZzGIWU+NdNZvP4h3GdHO29+4VRVZCoaz54pmEnLs0l1UnV3Fp7yUSoQTxQFwlMG2et5bUJ8Kch+cQeC3A/Mfnc+HvLhDrjxFsCxJsE1HkjtWONFUd6UpvgxlsC4IenOuchM6GsHqsuDa6sHqsWBZYVBLWLgAA1XeeGdGuqHyF/AE1An7OJ+ZgcBhw1bqw32lXo+m1BJ4tajwtgjxogwMb///27j1GrvK84/j3sWdtvDbr9QZvbLMYY8AFSlRSIJeitmkMBdwK2qqh27gpqqhcyY3ESq0q2khJ27SKK7XVRrlUa5HQqFh1rCZRUCChhDhFUSlgCBRs57I2kXdt0128F9/GsLP79I+ZM5wdz+ycMzM7Zy6/j2TN7cw57xzBPud5z/s+L/R3QkGsLJwuFmTcixH0wkG73L77+/tJp9Ok02lOnz4d+wKiUTNk3TOXdqT1vJtBf3+2eMq2bVWt8x0E5LG9Y/n3Ul0plqxYwpGBI/Pe79nWQ+/2Xnq29UTa98QTE4ztGePY3x9jfO84ndd1svyq7Gjnt0bemjd17Nxr5zh/6Dyd7+mk5+4eurd207G+g/Ovnmfyu5NMfGsif+861ZXi0psvJf3TNBPfmsh/furxU/lMevLJyfzo9sDKG1ey5s41LOvNllZdcU12ANyVn7qSvp3ZAWTjXxvnzPNnWHXzKsb2jM0/L7ku8lSqa97zhc4lZC+QZp/4Va7Z+MV8sC9cn7qWgguDnTt3llxPO1gPG7Ij3AcGBti7d2/sY4VHcddy/e5qBeegkt8k0qyUeTeDYDrX7t0LZ+DhRUWKKHW/utj7QTDu/pVuNuzYULYb/aIpZnf1MPKPI0x8Z4Lzh85zyeZ3Bq35jM8beLZkxRJmTs7QeUMny3qXsfzO5fPuXQff6d6aLajCDWSz6Vno3tqNpeyie91BFj719BTdt3cz8+YMfR/vY+XPr8z/DsvVF1r7kbVs2LGB3v7eeb8TmDfqPsq9/7G9Yxz5k5NsGbqX1I5ssF/MUp9RluMM32uvRfbcaAPMGrVHQGQxKXg3k3LrfJdZRSzVlSraBV7s/cLgVK4bPbyP4HHjX23EM07qshRzb8/lu7yDqWFBgA0C71x6Lr+qWGEX+OSTk/ku8O6t3WSmMpw/dJ7lV2Sz+7M/PHtR13lgdmqWdX++jtUfXJ2f0jb1zBSbd21myYol+eBc+DuBiwrWBL8t+L2Z05n8oLdUV6pkUF9Mt956K7feemvJ4FU4V7vaqmONFixVB13akYJ3EmIOLMurxTrfBUpl1IUBPU5QCu9z82c2c/iPDnPqG6ewJcaqm7JT0vIBu2AQWzH50eK5+98+4/mCLMBFNdEhu6jGsvXLWP3Lq7nqM1fRfVt3vv1Tz0zN61UIAvpcOtu1f/Xg1fN+Z3jUfaHCi5pSF0iLZe/evQwMDDA0NFTyfm+1wa0w01awFEmegncSog5Aq4MoA9Pijjwv3Od1X7qO1y9/ncxUhpnxGVbdtApbmu2yDk8fC2qfA/PWCQ+EB7wFOm/ozD9feeNK3J3MVIbZqVk6b+hk0yc3MfnUJKves4pUV4pUV4rNuzYD5O/nB0E5KEYTnsNe2JtQqNJMe6FBVnEGYBXLgkt9v9KBXY2WaYuIgncyynV/11Fh8CkWqOOOPC/cZ8eaDrZ8bgtvj7/NxLcnmPz+JLbE6Hh3Rz6rDqaABcVbwll0OMBfevOl+aA++eQkF0Yu0HNnD+d/cp7MZIa59BzLNy5nwwMbWHnjSk4+fPKithfezw93gS9dsTR270KcTDsIoOl0moHc8quFWWyce8rFsuBS36/0XnX4GFEvADQCXGRxKXgnYRG6vytV2M1bLFDHzS5LdR0vW7uMdX+4jp67e5j49gTTP5jGM87ydcvzK3+Fg3l4rnZQhS14b+5CNvtOH0pz6sIpLhy9QM89PWz+9OZsBbclVrTtmdPZAH/14NX0bOuZd786Tpf3G4+8wfDAMHPpOfoe7IvcOxEE0MHBQXbt2sXTTz/Ntm3b6Ot7p4RqtZluqe8v5mC1wmDdaIPaRFqNgrfMEw524RrnYXG70QsFQby3v5f00TRnXzrL1H9Nce61c1yy+RI6LuvIzhP/6XlOP3Oa1R9aTef1ncxMzHDu1XOcefYMy6/MDlTrvLGTTZ/exFuvv8X6B9Zf1J5iFyfDA8P0bs+ONh8eGAai9SiEee5qI3iM2jsRDqA7d+5k3759dHR08OijxUuolnpvIYs9uj38GCgM1upqF1lk7t6Q/26++WZvWdPT7kND2cc4n9XRzPSMH9x+0PezP/94fOi4u7sfHzo+73XU/R0fOu4z0zNFPx/9l1Hfz35//e9e9+nnpn3s62M+8vkRP/jRg37sn4758d3H/Y1H3/Dxx8f96KeO+vAnhn0/+/3Y4LFYxwn/rmODxxbcNs7vSY+k/eD2g54eSUfex8jIiG/fvt1HRkby7w0NDTngQ0NDC77n7j49Pe1DQ0M+HfG/lVL7qYW4bRGR4sgu6FU2RiYepEv9a+ngPTSUPfXF/ogu9FkdBQH6wPsO+JlDZ+YFqnIBcqH9lQr4UfcZbJceSRfdPsqFRSXtL6eSCxr3i4NesSA4PT3tg4ODPjg4OO/9uMFYAVak8Sl4N7Imy7zjBqRS+6tFlluri4BG+W7UAFxsOwVjkdYTNXhrYRIpqdp723GP9cYjb+D4vHXC4Z21wsPLkta6TZnTGX6y8yeM7Rm7aJGWxbTYo7c16lukuURdmKQmtc3N7C4z+7GZDZvZQ0U+X25mX819/pyZbarFcWVxBYO9ahEkg0pkmdOZop8HA8kKa6xDdvBcELhr1abM6Qyjnx1l5LMj+YuUsT1j9G7vrWt1tGBwWbnAGnW7QtXU/Q5qojdKDXMReUfVf5XNbCnwBeAOYBR4wcwec/dDoc0eACbd/Roz6wf+Afi9ao8dS6VVzVpQPTPqQLnR2D3belh731pW/eKqi4JnsSlc1fyGcJYNzJvbvRgZfb3PdVg1o77jTPdShi9SX7X4a/I+YNjdjwKY2V7gXiAcvO8F/jr3/D+Az5uZeT377BuoqlnS4hZdqYVyc8UnnphgfN84a7auiRTkTj5ykiMDR8hMZkitSeWDY5RgGWTZa+9bS9cvdc3L6KOIE5CDds6mZ7niwSuA+ga6aqaNxQn8mtctUl+1CN6XAyOh16PA+0tt4+4ZM5sG3gW8Gd7IzHYAOwA2btxYg6aFNFBVs6QtxuIZ5QJaqeAYnksedI1HEawIdualM4zvGweyFyJRLkyqzbLjXPwE7QweIVqga4RMNk7g17xukTqLMqptoX/AR4CHQ68/BnyuYJuDQF/o9RHgXQvtt6VHmzexUqOqC0eBRx19XekUq1JTxqLM8652mlicfRTbttR0sPB7izknW0QaFxFHm9ci8x4Frgi97gNOlNhm1MxSwGpgogbHljorlXWWWkJ06pkptnxxy7wMN5xtB6VKwxl3lG7pYkuQFr4fp/1xBEt/Ruk6L9aeKPXIlcmKyEJqEbxfAK41s6uA40A/8NGCbR4D7geeBX4X+F7uCkOaTKku92JLiBYuvRkIAmiwTnZ4Fa/w51D7e/Kl2l/tymnVKgzW1ZY4bYRudxFZPFUHb8/ew/448CSwFPiyux80s78lm/4/BnwJ+DczGyabcSudaFJRs85UV4otX9xSdB3s4HWwTnbPth5GPzuan+MdZaWzatpfLNiWCsaljr0Y4wZqSQPIRFpbTeauuPsTwBMF730y9PwC2Xvj0gKCQDebns1Ps4ozSK2wy/vE7hP5BUKWrljKhh0byq50VmulgnGpY8cZnR5FrYOtut1FWptWFZPYggA3l56rSVDt7e9lLj2H40Uz2XpkuaXmks+mZ7lm8JrIx47TSxDu2q51sF3MlcVEJHkK3hJbEOgypzMsWbGk6qCa6krR92Dfgp/Xaz562NjeMY4MHLnonny570S9oCnMthVsRSQqBW+pSJwMM+kqY5WqJOOP8x11bYtIpWpS21waQ7n64bUUZJiFdcir3TZp4XNYSR31ON+ptF65iEjzpEFSVj3LnsbJMHv7e5lNzzKXnssHxUaVROlYEZG4lHm3kPDqW4stPGWsXKaf6kqxdMVShgeGGz77rtc5XOwVu7QimEhrU/CWisXpDo8SFOvR7V/uGLVcBnUh1SzV2Qj7F5FkNW7/pcRW7y7fOF3nUUaM16P9Cx2jngPrFnuwmgbDibQ2a9QqpbfccosfOHAg6WY0lWYd1R2otv1Rvl9qm/Aa31uGtuh+t4gkwsxedPdbym3XfH/hpaSk5kNXIhxEgfzzatofpfLbQuVRx/aM0bu9t2FLnoqIBBS8JRHh7mugZpXaoLLKb9Wu8S0iUk/6KyWJKHa/vBaV2qJUfivWdd5MvRZxaYUxkdaj4C2JKAyWtQyc9VjTu5lohTGR1qPgLW2n0ZfzrDWNPBdpPRptLolq9hHyIiK1FHW0uYq0SKKaqe65iEijqCrVMbMe4KvAJuBnwH3uPllku1ng1dzLY+5+TzXHldbRbl3YIiK1UG3m/RDwtLtfCzyde11M2t1vyv1T4Ja8epUjFRFpJdUG73uBr+SefwX4rSr3J3VSz+VDkzx+0r9TRGQxVBu83+3uJwFyj6X6Pi8xswNm9j9mVjLAm9mO3HYHxsfHq2yaLCTpe831OH5Q8lT31EWk1ZTtqzSz7wLrinz0iRjH2ejuJ8xsM/A9M3vV3Y8UbuTuu4HdkB1tHmP/ElPS95rrcXyVPBWRVlU2eLv77aU+M7P/M7P17n7SzNYDRdMbdz+RezxqZt8H3gtcFLylfpKuKFaP46vkqYi0qmq7zR8D7s89vx/4ZuEGZrbGzJbnnl8G3AYcqvK4ImVpMJyItKpqg/cu4A4z+ylwR+41ZnaLmT2c2+Z64ICZvQLsB3a5u4K3iIhIhapKSdz9FLC1yPsHgD/OPf9v4D3VHEdERETeoQprIiIiTUbBW0REpMkoeIuIiDQZBW8REZEmo+AtUgMqwyoi9aTgLVIDSZebFZH2ouoVIjWQdLlZEWkvyrylIuomnk/V3ESknhS8pSLqJhYRSY7SBKmIuolFRJKj4C0VSXpVMhGRdqZucxERkSaj4C0iItJkFLxFRESajIK3iIhIk6kqeJvZR8zsoJnNmdktC2x3l5n92MyGzeyhao4pIiLS7qrNvF8Dfgd4ptQGZrYU+AJwN3AD8PtmdkOVxxUREWlbVU0Vc/fDAGa20GbvA4bd/Whu273AvcChao4tIiLSruoxz/tyYCT0ehR4f7ENzWwHsCP38qyZ/biG7bgMeLOG+2tG7X4O2v33g84B6ByAzgE07jm4MspGZYO3mX0XWFfko0+4+zcjHKNYWu7FNnT33cDuCPuMzcwOuHvJ+/LtoN3PQbv/ftA5AJ0D0DmA5j8HZYO3u99e5TFGgStCr/uAE1XuU0REpG3VY6rYC8C1ZnaVmS0D+oHH6nBcERGRllTtVLHfNrNR4IPA42b2ZO79DWb2BIC7Z4CPA08Ch4F97n6wumZXZFG645tMu5+Ddv/9oHMAOgegcwBNfg7MvejtZxEREWlQqrAmIiLSZBS8RUREmkxbBe+o5VxbTbuXpzWzL5vZmJm9lnRbkmJmV5jZfjM7nPt/4MGk21RvZnaJmT1vZq/kzmfIrpEAAAJDSURBVMHfJN2mJJjZUjP7oZl9K+m2JMXMfmZmr5rZy2Z2IOn2VKKtgjcRyrm2GpWnBeBfgbuSbkTCMsCfufv1wAeAP23D/w7eAj7s7r8A3ATcZWYfSLhNSXiQ7ODhdvdr7n5Ts871bqvg7e6H3b2WVduaQb48rbu/DQTladuGuz8DTCTdjiS5+0l3fyn3/AzZP96XJ9uq+vKss7mXHbl/bTVi18z6gN8AHk66LVKdtgrebapYedq2+qMt85nZJuC9wHPJtqT+cl3GLwNjwFPu3m7nYBD4C2Au6YYkzIH/NLMXc2W5m049apvXVQ3KubaayOVppfWZ2Srga8CAu59Ouj315u6zwE1m1g18w8xudPe2GAthZr8JjLn7i2b2oaTbk7Db3P2EmfUCT5nZj3I9dE2j5YJ3Dcq5thqVpxUAzKyDbODe4+5fT7o9SXL3KTP7PtmxEG0RvIHbgHvMbBtwCdBlZo+6+x8k3K66c/cTuccxM/sG2duLTRW81W3e+lSeVrDsur1fAg67+z8n3Z4kmNnaXMaNma0Abgd+lGyr6sfd/9Ld+9x9E9m/A99rx8BtZivN7NLgOfDrNOEFXFsF71LlXFtZA5WnTYyZ/TvwLPBzZjZqZg8k3aYE3AZ8DPhwbnrMy7kMrJ2sB/ab2f+Svah9yt3bdrpUG3s38AMzewV4Hnjc3b+TcJtiU3lUERGRJtNWmbeIiEgrUPAWERFpMgreIiIiTUbBW0REpMkoeIuIiDQZBW8REZEmo+AtIiLSZP4fNBEOV6AC+roAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# this code has been manipulated from the source available on sklearn's website documentation\n",
    "# Plot the winner\n",
    "plt.figure(figsize=(8,4))\n",
    "splot = plt.subplot(1,1,1)\n",
    "Y_ = clf.predict(X)\n",
    "for i, (mean, covar, color) in enumerate(zip(clf.means_, clf.covariances_,\n",
    "                                             color_iter)):\n",
    "    if len(covar.shape)<2:\n",
    "        tmp = np.zeros((2,2))\n",
    "        np.fill_diagonal(tmp,covar)\n",
    "        covar = tmp\n",
    "    elif covar.shape[0] != covar.shape[1]:\n",
    "        covar = np.diag(covar)\n",
    "        \n",
    "    v, w = linalg.eigh(covar)\n",
    "    if not np.any(Y_ == i):\n",
    "        continue\n",
    "    plt.scatter(X[Y_ == i, 0], X[Y_ == i, 1], .8, color=color)\n",
    "\n",
    "    # Plot an ellipse to show the Gaussian component\n",
    "    angle = np.arctan2(w[0][1], w[0][0])\n",
    "    angle = 180 * angle / np.pi  # convert to degrees\n",
    "    v *= 4\n",
    "    ell = mpl.patches.Ellipse(mean, v[0], v[1], 180 + angle, color=color)\n",
    "    ell.set_clip_box(splot.bbox)\n",
    "    ell.set_alpha(.5)\n",
    "    splot.add_artist(ell)\n",
    "\n",
    "\n",
    "plt.title('Selected GMM')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "___\n",
    "# Spectral Clustering\n",
    "Spectal clustering can be a powerful tool for clustering using many of the same methods we have already talked about in a different space. The sklearn documentation for the function is here:\n",
    "- http://scikit-learn.org/stable/modules/generated/sklearn.cluster.SpectralClustering.html\n",
    "\n",
    "Let's start by investigating how this performs with different affinity matrices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# an example using SpectralClustering, which assumes that the graphical data needs to be calculated from the structure\n",
    "from sklearn.cluster import SpectralClustering\n",
    "\n",
    "X = X1\n",
    "nclust = 10\n",
    "\n",
    "# If a string, this may be one of \n",
    "#  ‘nearest_neighbors’, ‘precomputed’, ‘rbf’ \n",
    "#  or one of the kernels supported by sklearn.metrics.pairwise_kernels\n",
    "spc = SpectralClustering(n_clusters=nclust, affinity = 'nearest_neighbors')\n",
    "labels = spc.fit_predict(X)\n",
    "\n",
    "plt.scatter(X[:, 0], X[:, 1], c=labels,\n",
    "                    cmap=plt.cm.rainbow, s=5, linewidths=0)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\Jake\\Anaconda3\\envs\\ML7331\\lib\\site-packages\\sklearn\\utils\\validation.py:855: UserWarning: Array is not symmetric, and will be converted to symmetric by average with its transpose.\n",
      "  warnings.warn(\"Array is not symmetric, and will be converted \"\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# an example using precomputed affinity, which uses the actual proximity graph\n",
    "from sklearn.cluster import SpectralClustering\n",
    "from sklearn.neighbors import kneighbors_graph\n",
    "\n",
    "X = X2\n",
    "nclust = 3\n",
    "Xknn = kneighbors_graph(X, 10) \n",
    "\n",
    "spc = SpectralClustering(n_clusters=nclust, affinity = 'precomputed')\n",
    "labels = spc.fit_predict(Xknn) \n",
    "\n",
    "plt.scatter(X[:, 0], X[:, 1], c=labels,\n",
    "                    cmap=plt.cm.rainbow, s=5, linewidths=0)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics.pairwise import pairwise_distances\n",
    "\n",
    "X = X2\n",
    "nclust = 4\n",
    "\n",
    "d = pairwise_distances(X, metric='euclidean')\n",
    "d = np.exp(- d**2 / (2.* 0.1**2)) # convert from euclidean distance to similarity\n",
    "# this is Eric's function, empirically it works\n",
    "\n",
    "spc = SpectralClustering(n_clusters=nclust, affinity = 'precomputed', eigen_solver = 'arpack')\n",
    "labels = spc.fit_predict(d) \n",
    "\n",
    "plt.scatter(X[:, 0], X[:, 1], c=labels,\n",
    "                    cmap=plt.cm.rainbow, s=5, linewidths=0)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "___\n",
    "# Image Segmentation with Spectral Clustering\n",
    "In this example we will construct an image and then cluster it by first converting the pixels into a graph. We will use a feature extraction method for images from sklearn called `img_to_graph`:\n",
    "- http://scikit-learn.org/stable/modules/generated/sklearn.feature_extraction.image.img_to_graph.html\n",
    "\n",
    "In essence, this creates a graph where each pixel of the image is a node in the graph. If the pixels are adjacent to one another, then the edge between the pixels exists. The weight of the edge is given by the gradient of the image. In the example below, the gradient is mostly consistent across the patches in the graph, but the connectivity between pixels in the circles is very deterministic of the points. Let's see if Spectral Clustering can deal with these types of data clusterings."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQQAAAECCAYAAAAYUakXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzsvWl0ZNdxJvg9IIFMIBcAiX1fat8XFsniKkoiJYqSRcuWJUs9tuS2R7bG7tbidtuaOdPLafdpeTxjST3utlutxRJtS7J2UQslivtaxSpWsfZCbajCviMBJBJAAnjz44t4cbOKKhZFGSydeXFOnSwk7rv3vvsebsSN+OILz/d9hBJKKKEAQNHrPYFQQgnl+pFwQwgllFACCTeEUEIJJZBwQwgllFACCTeEUEIJJZBwQwgllFACWbUNwfO8ez3PO+153lnP8/5stcZ9NeJ5XqvneY95nnfS87zjnud9RL5Pe573sOd5Z+Sz6vWeqyue5xV7nnfI87zvy8+dnuftk/l+zfO80td7jq54nlfped43PM87JWt9yy/BGn9M3oljnud9xfO82PW+zj+PrMqG4HleMYD/BuBtADYDeJ/neZtXY+xXKUsA/tj3/U0A9gL4Q5nnnwF4xPf9dQAekZ+vJ/kIgJPOz38B4FMy30kAv/u6zOpny2cAPOT7/kYAO8C5X7dr7HleM4B/DWCP7/tbARQD+E1c/+v86sX3/X/2fwBuAfBj5+dPAPjEaoz9Guf9XQD3ADgNoFG+awRw+vWemzPHFvAP6E0Avg/AAzAGIPJya/96/wOQAnABgHfZ99fzGjcD6AWQBhCRdX7r9bzOP++/1Toy6IKq9Ml31614ntcBYBeAfQDqfd8fBAD5rHv9ZnaFfBrAvwWwIj9XA5jyfX9Jfr7e1roLwCiAL8ox53Oe58VxHa+x7/v9AP5vAJcADALIADiI63udfy5ZrQ3Be5nvrlvMtOd5CQDfBPBR3/enX+/5/CzxPO8dAEZ83z/ofv0yTa+ntY4A2A3gb3zf3wUgi+voePByIv6M+wF0AmgCEAePv5fL9bTOP5es1obQB6DV+bkFwMAqjf2qxPO8EnAz+Aff978lXw97ntcov28EMPJ6ze8yuQ3AOz3P6wHwVfDY8GkAlZ7nRaTN9bbWfQD6fN/fJz9/A9wgrtc1BoC7AVzwfX/U9/08gG8BuBXX9zr/XLJaG8ILANaJV7YUdMh8b5XGvmbxPM8D8HkAJ33f/yvnV98D8AH5/wdA38LrLr7vf8L3/Rbf9zvANX3U9/1/AeAxAO+WZtfNfAHA9/0hAL2e522Qr94M4ASu0zUWuQRgr+d55fKO6Jyv23X+uWUVHTP3AegGcA7A//F6O09+xhxvB82+IwAOy7/7wHP5IwDOyGf69Z7ry8z9LgDfl/93AdgP4CyArwOIvt7zu2yuOwEckHX+DoCq632NAfxHAKcAHAPwAIDo9b7OP88/T242lFBCCSVEKoYSSigm4YYQSiihBBJuCKGEEkog4YYQSiihBBJuCKGEEkogr2lD+HkyGD3P+9BrGfP1kF+2Of+yzRcI53y9yM+9IbyGDMZfxkX8ZZvzL9t8gXDO14W8FgvhJgBnfd8/7/v+Igidvf8XM61QQgnl9ZDIKzf5mfJyGYw3X3WwWNwvjVehItbgA8BSoiT43XKMn0WL/CxeJGBqKWq5OsX5wv58+VXxwkrw3VKZ7HHysRLRNnbdig4rmKyivH46IC3pOx/3EElVIZVs9gFgpdT2UB3fl68i87x+uZS/KFqy/pZintxX4Rx8Z0sO5iHX6TVuulLxvPapX/rSnzWKxiqRTLX4Rfll9lMeuaIf/f9KceHYbhtdu5IZ9rNYxcaROch9OnNfKpz7y4mu11KZrIXzTErLqxCvbvX1+pXSwhwtd52Kc2zjR9hG11LfnYLv8oXz8Ys85//yGSn8We/Fd6bgaTf2qqEkUYXyulYb4LI1jczzcznq9LMsv5tjR/o+rTh/iZ6MsSR/EyVz+r0NtXLZvUdkTfR7dx5FK8DCzASW5rMvl/hWIK9lQ7imrDo5Z30IAKJlldhzzyeCl9f9Y1+o5MJEp7ga2Wb+HB+wJ1BxliszcHuCbTMcbj5t/dQd5Fs2eBufQvIi28y0W5vq43wq0+1csepjfJNGd9obnk/KH3cZP6uO8/pUj7110+1sH5M55+NsM9PKuS+V23KUD/J3TT/qBwB0/34T1wcm1UdkrINjAICR22sBALk65yWWhxyd5Ke+SDXH7K9rcC/vPdfJuaZf4Fvj/gHmathnop9zj2a4JkWLtt6ZrtKC6xZTvGaxkj+XZqy/6BTnXjbOv6aLv8K26UPFQRtP/tB0vZLnZgAAE9srrpiXLkz58Ip8bztC/b4sAGChhvc5uS5SMAd3riplo+yndNbub7aJc0sM8N79Yl4zsaH4ivuruFiojWYbOGa21cZJn2Df022ca9Fy4T0AQHyAz2S+ms9kMcG2kXmbu75Hlee4o4xvjhXMj/fKPhN97C/byGc1V2frlOpdlrkW48w/uak5P1tey5HhmjIYfd//rO/7e3zf3xOJxl/DcKGEEso/t7wWCyHIYATQD2bbvf9qF3grQNGij9gYd7VLby0Lfpe4xB2yspu7/9hubh7Vx5aDNn4x96/0KaqaXDV38ob980GbpXJ+FxuTMeXyYmuCbD3blMxwzLEd3F0XK2yXLs1wN05e5M/RadGkw7NBm8w9aY5xmvMqnWGb5sd5D5l15UHbfJx99/4aOTSqTvLn+PBS0Ebvp/8+coOodVT/0MWgzcD9HXJjMi+xkhaq7FFWXOB1lef4nR6pcmnb/+tepNpfrIzI2BGZj2lCtUbUhC0b53+Wy640c9U0L8nw+rbvc02n1plWy8tyFC3zerUMptZZP+XD/EyfWCgYKzZp74Guq46vx019RgBQcZ7zWEhTE882yHFnwZ6xHg0yXewoNs7fpU+LxeCoy5lmXZ/lgrGSz195XE3Ic1sWS3h8m7MGZbRqlsr5XcUFTmJqrS1mZI7z6HsD/z6qusW6mbZ3JTieyJFD57pkr1xwzyjCy9vzLyM/94bg+/6S53l/BODHIMfcF3zfP/7z9hdKKKG8/vJaLAT4vv9DAD/8Bc0llFBCeZ3lNW0Ir1b8Yg/5RBGmO2gKFS2YHVPzEh1M87W0/6LjtIFmm61NTEyy+XShyaoOGsDM4pJZml3Ta3i9HiHc36kp7C3z59Ipa6N9JwZops028QtvfWXQpuIMP6MZdjS1liZatoHHnSU7EQXmqI6lZu7ILpt79UmOlZ8rdKwN39duHYlpGB+i6Zrp5JjTXWbfFud4YamQv6nnvnTGcVyleN34Jn62PMpjzmy7TVqdW3p0qPvr53i/b7uRY3bY66NRocwaXj/XKCbxeTOpy4d5DDh/P83mxmd5TceDc0GbXCOvH9/CNnoUqTswE7SZ6kpxHuJE1LWdWmMOzCoZ9nLHYabD2iT7xAm4hj+ro3bgDs69/vmgKSrO85gbHcsBAHrv5XuQ6LX3c6Zdjgx9shZyFKpy+LAjOXGat3Ie81P8dI8nejRbKZH3qZ6/zDZaI40gzNep01vG6raj1cgNbF952o7OryQhdDmUUEIJZFUthOVSYKa1GDUS5ptZMO0YhHw28buy0Su1moaeghisRAnnam1fi3ADR4nEZRPij8snbCd348KAYQOWbDpBGChbxyWar+b182nTMLEJsUIkfJm8JM4kiaGXj5h21O/mGjjXukN0etU9YG6X2Xu3sb8u/pzs4TWqqd25qmWgztJkr63TTBvbL9DnCW9J5+56ljiP8iFeN3wTrZq6F3NBi9Jp3vvYNi5M0Y5NAIBRsWoKtU6hbon3F1pEADC8h9o/fVQcqpdolbjxdQ3DJQbZ+Uwz73PgDamgTdmIvBtZcfROK/7DXmfVqvOyBiWz/LnlB0bVOPwGhnU7vkcL5eJ99MiVD4hGbrL7ma+SEHMN7z1XVxhqBuzd0/tp/Skf1ly9hbPV8VikIWA1Bh18g1pbFRf4jiyKNediPLJ1/K72oF8wD30vAKD9xzn5LoZrldBCCCWUUAJZVQuhJLuC+oM5TGzkjuU5UZTpTu7OCoJJH+euPbnR4iiqkZaJS0KpnCGrj1oocLaDmm5qjVgTovWrTtsWXCIoMQW0xPr0zOYAgOS/CQkLLpUJuMdBvlWcowaYWifaY5w7+lwD28b7LdY5cgPnVSpH4bLzEwCA3v9tZ9BGw2D1L/BGNWzlaqG5Jo4fmRWg1EXOXc/nAFCa4X0tlSvoRcJWkw6oqpPaWjWThuNyjjZTVGTT0/IstlbIfSk6MmgagKd03RZFoXvLprHUukn2yrpt5IN0LTb12SwmBBwkFqJqTQ4i9yDn8IZ9fP4LFYZzUWsoNs6f44N8NgNvsXIPCrDKX+I9Jy5J98VigUzbmMvRwvtLnePa1h7KBm2mJBy6KNboyG6+5wtp66darKMaCafP1fAeKs/aH4P6bAZvkVBn35WI1fIRXp+XZ6zXpE9bPwO3ikV2ejn0IYQSSiivXlbVQvCWVlAyMosp8TJXnbQtTyGluhMP3Mndvn6/ab5MJ3dyBRRlJQJR0WNabXID97iUgHMWUvzZ1TC6mwY+gA7ZZZ0duP4Axx3dIRBogYEWOTutJwS1yV7uyqO75L66+bNr3eTEG1wskZWJG3l+VQ85AKRPmrYBgMwaXq/ecABIDOhaiF+gip+zTRYdUN+FWhjRSc5nIW2qeGQvx214Rm5a7suFk49tFy91NzWdWjCJfq7N2DY7m9a9SA2sPhbVkvmkg60Xi2JyA+exKIhlF+K9XMpG6h9SzeabayPwsGvkYGw735Woo9GrznCy2Xq+4gpw8hxDo+VRWj4z7byP2KREABrVqnFyUQRIpBGlZD/7V98LYO9TmXyWyHuxHDW9m5d+Smb4u6j4lqbW2Z+ivhPxflnDVOH3ALBQwT41+pGr5bplG5woivi0prqKsfw0rklCCyGUUEIJJNwQQgkllEBW9ciwVB7B5K5qJHq5D5WNmf0dHacZmo/T9NWMxPlqm2LVadqNo7sFy15KE2qu3rxbTU9JhtgWmoEK4NFwFgDMa0adWOKlkg/g5mouVnBcNb9LJMSlYVEAaBBH3sx6msAVFziWmm1uyDR5UUz7NkndlTRcF1u/HOOYF95Je7n6JXGMTTj5DrVso87E+SreV1W3m4OgqbH81KONa06mD/NzfJv8fFxAPlP2TEpmea96lPKWOaYeFdxj2PANbNv4HNdkfiPXxDVzg5Rv6a/uRd5X8YKNee69vL/Gx3lfuctAaIAdQ0qyEjqVTMbZZru/RQ3DrefPyYcl86/N2kTmygrmE9V8DAW1ddo7o+FZDXnrWNUnzFGrR4OR3QJiW5Ij1zk78un1+ox0Dd11mqvTo54cHYYEQOWAqjRLVTNu1eGocweARVmnuaaVAgfw1SS0EEIJJZRAVhe6HCHsWMNZifNWWLn/7ioApgnKRri7uVwAaj3ojpmrFS3r5JJPraVmKhsTDSo8CzWHbazB2+nNSvYJgYgQkbg59Hkh8dAdfXwzt1h3J8/VcywNT02uEwCJKLzYhGmG6S6FE2u/4oByrKT+O6l5V8rE4SRts432mNSppSQj8zX8fmnQ9vZp0YI6r7laztMFvyxUytpJxHZZNIg64QAgKveqTlhdZ4XZus+m9rBAvJuFQyGvYCEbU0lYFgTkpWNVnDcLqOqlQofekoSYq4874bTbeZ1ChBWEpMQpAFA+znUtfZG/G75R18BxzFXpMykkmVEQmxuqUwKSsZ0COhPnbs6xYPW62pfEiSuAIrUuASBXw/YDwtcRm5BrHWaAbLvcaw/bRuZlng7fgzqMFYA3LbDpiguOI1TekWSPF4R8X0lCCyGUUEIJZFUtBKwQ7KK71fAtlihUf4D+gfFN1JK1+4goGb25OmijIZvxnWJhCLQ3knV8EaLR5ysLz9H9bzZWHpVSpQZLUj2qxgCAEtGceg7Ts5mGnwBgJqnMOpJHf0r8HlVXhjorzvIzoAgTRaiwVMA0XvKSJknxe7VkAGDoJv4udUG+kDhapsv60fOujq8aNHXJ8Q8Im5ZqGg3hlg07Z9mGQoh4yRz7af4pn83gXfZsZhsL/SbTwnjV9pCBxkZuoLqvPklTYXIt132u0cKhChfWuVac08Qz85GUDwjHgcy5+rj0t84OytlizkfDjMF5fDBoEgC2NESqnzFJLip2ku/U51N5mj+XznJ+rtWlFqauqf7sWnjJXoE8Jwp9I0txW/fEhcI/Sw335h0Ltlx4FHJCa6eWa6LHQtfeCn1tSzGvAAR4NQkthFBCCSWQVbUQipaY2qkef1cjz6ephtSDnGslGkP59wBgtoy7Yat4jLGiXv0rXagaSVCtq6ARABjbpdBSjqle5sbnDGqslkqQiqpe4bzNJyDl1POygHr0rDzTYsubusQtWjVd/530h6hPAQCS/byfYtFc+jm60zSoQrCVg7L62JVsOv1vEI7BCWFyEgsmIG0FEBPuQ43QzLVzXsVOwpn6QrRAePkA12diJ/09yh4EmFYsG83LWFzb2TYDZ6l1NF/J57gsWCqFmQNG4Dq4l/eQFmap879mIKjlCpqYbd/VBCZJLuu3+ajFor6kIOFs1NZJrbMAvi0+kopznITv2XrNtnGyCk/XazJrzEmSlGccnWSkpfIASRn7f6XZ+mkRBij1zyjUu8J9Nvo+6Tw9WQuzkjQdX9/BEmFZGt+WCNrMi4+t/YEeRGauzYkQWgihhBJKIOGGEEoooQSyuk5F+PB8H1MCFln7+b7gN/lGmqHTkq2ogKSJTWZKVXaLw6pNs/muDMcoS03ZKD+V+NQ1l0tm+H/N2lP+gOk2M82VRFOPAxqGdLHw2reCTLxFPV5IlqERAWGmRRhydnLumtOvJKnuHJV/oOqUUG33O54rkepjNN+VRNRlXmp+Qpxs6wudpREnH0CPCkqbnjxdmEMAAFHN9RBGob67af5HxG/V+Iw5sMa38nd+EfvRI5vLBKTZoQqmUS4HlzdCHXuZGsnqlLBa68PWJh8XFqQXenjNGzsBFD5jfW4aNl5Iq/PU1qn9u3SOju1JF7Sdk7wQd+7q/Bu8le9IfFAdwGbGK8Gv5qDkbqH5nnCcwotJyamQr/QYpRTuADBXy340xKxHmIVqez91fdPCsjW6nRNsecyeSX89/5Yu/E4HFj7nPNirSGghhBJKKIF4vu+/cqtfkMRrWv1N7/wYysY1POfASIOqR/w5qHBkTbAgjhdlkhnew8YuNFSdR9rWD4BOV2rZGSmooVlhLmy3/CwJ9s5+gFmJWmil5qg5HhUEpWxKCidWuG1ywBxYsRE6muaaJLNuTPLzbzdnWcBrqA4saZOrcypcyf3pmKplq4/bvEZ3Cmx7UO5Lsh0HbzEtodZLkPkpDFXLrpZdKmTjaXqKZA6ju6n5FBYOWF6+Qmgrj9OhNnyrhZZVqyV7NIQr3ztMTjXHOFcNF89LVp8LGqs8J5mM4jis6ua9a/6/e1/KvKX8iwrWccdVJ56OoY5kN2ysfJkajlZAmMvDqc5ktbIUTu7ybMxXsB+l35/YIM/WybRVqygIccs0XF6FytNiQc3rJ+fc9yb7g0md4fUN3+jGc5PfRCY/6ozy8hJaCKGEEkogq2ohJCtb/J13fgSZTqrt+n3GpHvx7UkAQHxAABaS616cc1hk9whUOFPIaOMmCI3uKMx791bEX9DnAG7q+Z0y1GoITvkWAKDjg6RUXhIT5chhnlMbNxgn31iGmvKd644CAB7po3NkcUmKn8xZf821VCXlJTR9ep5q5xwcJqdiuQ89Z16uwQDTPok+YXISzaw+CnddFFpcc1QsDQdmq6zPGvbSM3bVaVvv4RuVW4I/T2zjXNNHCll6ANPAaplpCNb1Saj1pyG7tm+zKkvfO+qDNtXHC8NjJbPCLbHetP9iADqTscXXoUzPAND59/0yR8514G2NAAoLmZTIcbvmqDApv0lCwVLCreaIcXGMb40W3PNCJcfs/JZB4qc28x3Ws3/8OaLR+j64MWiTEG4Ll00LMBg8AJRJIaPJtXxIleeEf2J7zGkjSXfC/qV+h9QFWz/lSPCLgeM/+DSy472hhRBKKKFcu6yqhVBe3+qve+/HMd3FXU0LqLqi9RnGdnG3dcFLetZXv4LuxJE5p8yXaHlNNHFhvypaeXdsO3fQD/zWjwEA+yY7gzZ1MR4WXxonlnZ4nNDn2rRphM1V1HCjC+JNjnAnPz5KzPG66tEr+ts31AYAKC7iutfFDdq79Cc8mE5uYn9lAqKZ3OCAhcQtoWzGeiZWaC5gWlnP/tUnaCGMb7F+1IpQSLaulyY9AeafUD+Mau9MB/tRKw6wMnQ6prEPOTpHulYtqWxPbuKNQqg1krEkST+V3Y6fSKyPsjEuRtmAlM7bYMzM6jcZ28bFSJ/iGkRHTTNfeBfXufkJ5c3kXEd3Cs/hGYepqp+TXExxMdSKcxPrIpLENNPKNupTcAvMquWqiXABu7iTthy83xLp0toSBdWtL2OUUmBSuVOKTxPNJjYDff/1U1joCy2EUEIJ5VVIuCGEEkoogbwu2Y4V3RI+7DEbaOQGOlVmOmkjamZj3AHlKAuOAmUqzgqhZ9Juo/qkUHyvoVmr5mXUqR78xk8+AwB4bpxHhO/07QAA3FDTG7Q5OsmjwlSWjqa9nfSszS/bWI8eZeGSyjoec2oSNF31qNA3YyG3SJEwLo3QrN2yhk6vC+PpoE30/+TcUzGm5M39Ax1hxY7TNCB7XdJQGddgcr3t7Zq/EZSom6CZXHHB2qgZqkeGbJOAvDJBkwA0pQAst+gKAORqnLBxECrjz5VH6UT1VmwNSqeFtUgqKWtmpAv2io7rMULChVJezWX80SrSZXKdllVzq3enjxea7QpmW16bDNrE+QhQMs11zzaUyzz5/Uyrqy9pfiuLUvlAYUgWADzJclWnqc4545SY0+NA4/OFJL6ug1YzExeTGqKUo0Oj4ziWtStaLgRwDe8x56QeCxufW8Zw9tpcA6GFEEoooQSyysVe6bTS3W2mxWJSupPr7qrgk9EdNkWFZZbkNPNsSfq1XXpBgR9DhcVX7v6Lp4I2R6aZfXZnDcNCp7IMe92aPBu0mcpzjGQpd/LdKVbxODprmWt3bGVy/Po4Q5H/dH4XAKC6lvMsLjLr5uQox7h543kAwPkpcgnMO6HJpVLO/c0t3QCA77+D2qz+ixZu0gxKLWiT7KN2S/RZP+pgKl4Qq2QLnWeljpZI9XDthvZyzJUSYXAaDpoY+GlR4MQdHGOlVJmFrK22WRCDYGIXoehuERZl/lHHqEKFK3rM0Red0iw+4RRIFpbvc68f30oVrM5mtWQAA3CpRaUytc7R1vI5tp2WwYz4lCtPcS2qj1zJslVzpBA4NXCX9R0dYd/1L/BlzjZECuYHWFbobFOp3G8hwAgAEpcEaHUH55WS6yPzpr813Jitl/uRda85Zk5FtZLnaooL1u9qEloIoYQSSiCrHnZc+76PG2/i6JX8dotyxOv80kUAwOxO08j9b5TzW38hA5BbXCQo6qpwz3u5y3ekJ4I2zeU8356eotZOiBUQK7bddU2C9ePPzTIUePAE1UdHlwGTOpLss1RUloKYWsp48H1saH3QNpeXQhrz1Awf2LAPAPA/Dt0RtHnXFlIhHxxnaHI4w8XY1jgQtLn4WfapZcXjfcJRsMUQNwrB1XOphvlUawIW0tKS4V3foPNgpdQ0qIY/Zzp4nbIkK3uzgmMAg2urP0D9Hqrp3fkoRDzTUchszUbSnxTwrTtAa0sh3wCQqxZOgYlCbgiXmVlDpsozoO9Kts50YEoKqSi3QBBmlSYuXDooGCP3UHtoruB+ASCzhlal+gkU/FXmAMuSF3g/Mx18Xsq3qFyLgCVmKbRerWeX8UrXOycgOw2R6tq4c41NrITApFBCCeXVy+qWcltmGbbaH54DAPS/b23wO/V2axm0hbXU3sWLpj3WfZHafnwPz6eq3dp/aGfQmXYeWnPvpsYri4hX3tnK31O9HwDwYDHP/A8+uQcAcOctVpp932gHAOBiP8/6Xhn7UZ8CABwZZRSgNs5df3yOEZIXl1sAANESS26KRvj/WzoYrfjbZ94IAKhvM8tlQdzSv9pMS+GrS5yX+h8AAO/ifaW+wmjFqBaRddKoS8RXoJpXy36pVQAAExsFSJTkd5mN7C/bcKWOWBJ3/uS6y16XFWuriTiqtfVMXDZi65VPRGRMjq0aLF92pRXR9A+nAAC5GxlSci2NoL84x9dzefnYlREp9TdoVMVlN14eESvkGaZB991La1DXr/qEO3derwAstVhmWmwN1B9QEvhqJOW63tqUjRYWDdZo0bITRbncn6aWdLkDdy5aisq8FCilQDx750qEM3RiY7QginE1CS2EUEIJJZBwQwgllFACeUWnoud5rQC+DKABjNR81vf9z3ielwbwNQAdAHoAvMf3/cmr9RVrafVb//BjgeMoccl+p6FIJemcWqsYdDPbRnfRTFPghpJ0pi6Ys6XzYwwFtpXRFP9xHzPNlpbNZmquoNm9u4pApP55xmweP7bBJiRluH7txgMAgLzYXCsOjc7ZGZqYpy8yd6GqmnkJs1nOs7nGkuXXpuikzOT5u0UBOI3mzIZVEJSGIt++6RgAYGLR2pwY4/EhL/cTe5DhMBe8lFmjlYG1oI043RyzUUlnlaMg28Y1rDpq96fYea1KrUxAGtacq7W2VWf4nKa6JM6oeQsOJ4Q679SsnVGAkhMO1UIopVOFfA+lTmXn+BCv17CagpgWnUrTekLUTNHan/JlG35bW9BGs15zLewvLoVRlBuixCn84rIxARbiXHYc2pqToSUA9FVxq1JrpXGtaq4ZiW4OiR6P1Gk7ult4DfbZkahEaOBnWkpkDC2zZw9ZQ9ONz83jwAv/DdPTfb8Qp+ISgD/2fX8TgL0A/tDzvM0A/gzAI77vrwPwiPwcSiih/BLLKzoVfd8fBDAo/5/xPO8kgGYA9wO4S5p9CcDjAP70an0V5YGyIQ+LAqKYXms7p4YSI/OcUokw+gzcYeGmEqFPiMwVUquPb7VdcfSNfwkSAAAgAElEQVQieQZOJ+sAANtrCQN++vyaoM2NnQxpXsoRNjw4R4dac4s5+LZXM9T31BCv+/0uApse6N1r/dSwn/KIcBxMsb/KFCff01sbtB1PU7turiXyJyIc5yUOeEmdkJs62ObhC5ZHr7K8LNqiiosxW0oLoSjvhBTFTqs8Tc2eL2f40OVv1GxAT7xZNUc4jykHZqvMVhoiS+9nyHXyRq5t6qKFaQf3SoGdw/xubIdqLutPs1NLMpLv/1axckZML7X9mCZBpoOWhjrfXAtoSgq8KOhIaf1dEJQWW5kTJ+n4G1p5v07BEi1oU/ciP2ebBI6cfBn+THF6a6aswrYLmZwko1Kci2NbaektOtpfHYQBN6PwehY79AjxEfajbEqd3+Vz7H2LWYrz9QLtloTa5QGld79yDYZvjCF/4p8BmOR5XgeAXQD2AaiXzUI3jbpX01cooYRy/ck1hx09z0sA+CaAj/q+P+1517bjeJ73IQAfAoCSRBUicz5qjvJwM7nBtnRvSXdgCZVsEgiyw3RUeYbMNgo11VDKynpjmk1X8P/Tc9RYReKw+OOdDwdtnpwkuOfMJDV4ZRn7rSs3Bqe3Vx0uuP7gbIfcj5O3LnRDiRLez40NPKe2xqiiD6dagrZbUrRUZiVclJOE9iXnYN83ynDqYCk1xAc3Pg8A+MHA1qDNVI73tSxjZ26naik/YoxCismd3EjLQGGrUacc2mwjtY+GtjT5Z9EoBRCbkGcsH7Ob6TNRINisw2Ccl8SiaQEbKfegW1y1fFD8DBv4/GKjejY2P9FCFftUgFnVAVpbLvCq8izvQyHrs61ewb0AwKwwSSkPYeVZOY/vslc+JhgzZZ0KzvxTmhxm/Wli19RaYTf+eg8AYG6bAee0rP3QTXxG5cOFPKGA+TkSvYW+uyUnSUqTmsolqSnbLEWDhuya1odpZQ3fyHXJC6AvYn8KyDaJL+nccuBPeCW5JgvB87wScDP4B9/3vyVfD3ue1yi/bwQw8nLX+r7/Wd/39/i+vycSi79ck1BCCeU6kVe0EDyaAp8HcNL3/b9yfvU9AB8A8En5/O4rjubRKzu1jlrSrROgKa1DwgzsiTILoMgAZtq5UzY8S+/9jKSyxqpMs1dEqTFbkmwzPM8250rtRHNxhpr4vlYCkTJL1K51JdbPf+p+R8HUb6qjvyCTi+FyefZCFwBgc/MQAOCnTzOd+k/ufTBo88Clm3UJAABx4VZcI9EHAKhaQ234tvQRAMDfD94CAOg7Y3O/aRe5HueWBAJ9A62I//HU/UEbBXlpdEF/jo7Ygqt217TnIFnKScRRjavneLUilIXKLR+nXIzKDbiQ4tiu17syxrVLXeRgvidtq+w11KK1ypOo1kTE8fgrY1PVWa6hJhy52j95UfxMcqZOnGVkaabVCtQqtFgBPJqo1PKwpHLHTF9ObpBycbI+fiXfq8FbzEqKD0jUZLowNdoteTdxI6+v/Qo/o4eY7Ja5xyJcw3xVUPMiCsSNaCxWyBqc4R9K/EVGzMbuMdavVK9BxN308avJtRwZbgPwWwCOep53WL7738GN4J88z/tdAJcA/Ma1DRlKKKFcr3ItUYanUcAaXyBv/sVOJ5RQQnk9ZVWzHVPJZv/GPX+IsW000YucQhhBYQ0BYyjLjIZlAMCTuc4205R7/794BABwbKYpaHNMCE5/s4v21pk5mtsRx+M0uShcB+IMfPw4zbUda40x6cwYHWgNFTxGdCQYkixzMiIPj9Oh1JHi70oklPj4UYYLuzqNXKAswuveVX8IAHBunvNS4BRgORELAlqKFguAZ9Gcr0rxPjZM71+qmtc0pix3v/+HDL0GJrE4+BJOdWQFv2gGpGYKLjsnIr0us1aITyUUrPT1Lj5e6dyn27UMmV/wCVgWn3ISlIhpXWRLGmS91h3is9HK3vNOFl+lmMnKFqX5FytO2LFIjkD6nY6lVbj5nZS82yBZikrrnikknnXvb6aDnxVCnVF9yNZ9dg2duNk6zkuPWlr4hR3xQ3ke1MlYc8SOcyN7LpvP+JXMUkpGq3km1UcFaFbtAsuMwPXYj8Jsx1BCCeVVyqpmO65EPCxUlgSFSse2OaCjrNKCS/mxMXGI5dwMNuFDkPDLF47R6VaVsqqqLQJLLpE0t5wAb7Yn+4M2nRKh61ugc/Ft2wkRfuS88RfUVlA9qhWhHAdPjliG5m7hYPxpDy2MX1v7EgCgvZ1okYmshcoULj2cJ5Do6yd3AwA66g1JopZAbpFzvr+dBWC+2n1D0OYT234EAHiqlmMuSazs+d6OoE2JLJlClye2aGEaW8vhGwvDjmohJC6ZGqo4r1pLLDrlVFRt2WwmgoaSZ/U71YROOG1aLI3khcssA0dvNezjmAvVUnxWQqbxQbNuptYJ6EnCg8qu5Rar0SzHnGRhivEWhPQACyWmT3HMkd3lBffphh0VXBQTH/C8UGEuVts7rOXs5holc1eYlyY22JgLNVzw8v5CzooZp9BwsThQlZVJKddd/olSJoMGFplaca5FnbpIp2vx3FLAnvVKEloIoYQSSiCry4fgM/97dAd31aZHDCqcaxVkhWxRqrEmHQ68XBO37IZnuBtubSbYZ8VRMW3l1OQnZulXWJQkIOVNBICWGEOSfXOVMqSw01bZeXBoSkrLSXjwp4PUyBMzhqXILnLr3trAefy4jyzMmRlq1N1t5pN4YR+tj8nN/F1xRKHLpoY8FMaG+uZpwXTWmBXxNxfeAMCStWbmqFne0GF8kEe+xbBnpouLqVp/4A4HlCOarvlhPoOJnRwr65RDG7qZGlM1cdmYFOlNF/JWAlYgR0NuCvV18/xjowoW0p8Ftps3raZ8FhqyC1izLSIc+CImxf1SNhKR+dl8xrdLkpTAuLW/gvO8SP+dvM/al2iyBLyVTmEUtWYUNq9l8mYdXlBlgkpeVL4HsQKcv7LKkwJMGmCHxVKkVZP5CsYSkJFa1K4VoQls6VMC0a6Rkn7tDvdknn2O7o1goe/adH9oIYQSSiiBrK4PocRDtj6C9Gkphf5mpyaBeHYVyRuRZI/kUfMKe0ckytDIad9ZTZDOgUx70KY1Ro33j+fINqS1EsZyRhHcO0tteGmY43c0UANPzhn8930bDgIAhgXLm5eJxWsNAzojqcxqoShKN17ONmcmauzey6V8XYzn1VYBTh0ZtAjJ5noCmwbBMZvEktmSMP/Hs5NMtjrcxwjHvWtPAgCG5g1zPCv1BJSlWs/zxfPm01gq55cjt3At9Lxa4kBf1cut1pqWvlNIbrLPMnIWNnItSsWamBIN5paY02S06gNc78E3cX2yTvJP9XGtO8Gfc5KerUAn3gc/1dOvQKflUocv8SwnPd2lvik5Y/eav6n/LlqBaqSNSkJW608ExNRl74yClLSwcM1RXhQdt/dh8DZaj4kBYfwW/0exA8BTn02mk2NVn+DNuGXqG5+lOdT3Zs5vcr2kzFdYm1KxmDQNOi5+j5I5h5lZ/G/rvzCLibErSxq+nIQWQiihhBLI6tZl8Kh1lAtPz6YAMNsmZzzRPqUZTce1KSoUU+G2X+hmlOH3NzwdtHliYh0AoC7JKMG5k9TAG7fYeV4xBb2STNQzRDhra53xu6TlAKcWQkpw1svOHvriMJOX9jSw77l5nvHa0uzHhSVPpPn//ec6AAD3bjoBAKhKmMZ6dx2tkk888W4AwMkEMRWXpquCNiNnOdd4K1XE8SnyOqo/AwCWxPGtGivZK5WXnDi2pg7/9l9+DwBwaNasLJUfHNkGwKpMjQlnZFuK9zeUNaukUxLDNFkruSRRgv9gKeBLca25INo2q/Bim9i8MCirX2GuQdqMmXZUGLNCsse3OAAEEbVutBKV1pBQqwAw60XP7OVSPDZfwQWcq7uyUpJWFMsK2UvV6SvHVLbk9EmpG+JZPzOdwv84oLgBXlR7xKytkRs42Vwdn1vzo3wXZ9vNwhv/Db432Sm2VU5LtwCvYh0mtqWwfOHaSBVDCyGUUEIJJNwQQgkllEBW9chQvOgj2bsUlOByIavKZKM56QrmSDp54xpuSgmw5cPvJ8fBc1r9FcCRfh4R/mArjxFztXQ8fvfS9qDNyW465N6yi4AkF46s8oNhchD0ZwgkKimmKXZv68mgTUx4Cx47y5BibZphy8xCIRcDALzYy+PFrWuZ3aaAqdoy8+L9cIIm+rYNPIJ0xul8OzHSELRZt6W/YAw3bKnS/gPayVObaB5rkdXh3zGztFVCpcrz8JNuhkw3twwGbW7bZKFMwI4MTWXs34WDK819/zzbaLg28cmLQZvjch+Rn9KZq2Z82aiNMS3JejXEZAXgniWH7qF8lPejwCGlfFdafgCoPSwmuTgsNYTochPo49GQZCbJZxIfEmi2oy5LBTCnwKZqKZmWq7Y/IQ1baht1KrpzT/ZwUIVCKy9lptMATgq8W/8FOpUX67mmSiUPABUPcvEUkNT0lADDnDDotBxPWh6bD3gnX0lCCyGUUEIJZHXLwYNgjcqzkjuftv0oNlbYrvoknXiDe2179YsKYbGPCjJFuQEAIJ+hg2lePDzPjpOr4K6mM0Gbb46zQMv+QTrSWiu5E3fEDQCkLEi+bOU31PcBAL59dkfQ5o0d7PNSGR08vVMEOrVX0em2J3khaHsgRU6/bmFpSss1c3mbu46p/ZwZYds7201Tjy9QWyyK8653km33Npsm3v9mWkMl4gjb9EfEuZbnzKF2dzUtnaen6ITd3sr7O9zTGrTxhXn6xvW8Dy1eO7ZA7fRcd1fQdlMHLYtSsVjqY3QyKss0AGypY1g1/UFaSc9/ns9B2Y8B42VIneAaFmXoHB66z5mXJGaN7uQatD3ENpHNFiasOE7HcdF6ro+G9bxlB7ijRVKEUTkn/s+lmCQnOcAk1faRgHGafzouz4BCoeNDwgy1hveuRXMBID6g4UGxYGqUC9E0eETASpM7OffZlkIWbcAK+cb7OdfB2/jep0+YxVh9nOMuVkYKGLevJqGFEEoooQSyuunPiWb/ph0fxvBearnaw3amzdVSU2pprAqpteCWwVKmHi2BPbGbu2RNh0Ggt1RTCx0c4pl9rYT7RuZMO2pxVz2H315PjVUVsRDg4Wm5Ps4D7tQSQz49swamOn2YHP9338akppOTPCP3j3BnX8nbtrypkyzOGvJ86ORmAMD6FkuRPj/CkGJX3XjBz01pg1SPS8JUNkPLae86zr0rbibWk/+e4dj+3+CZ9u0b6SvJOQfoMxmqw9vrWFbvxUlq4E2poaDN6CI17gt9tKT+y85vAwD+USh92stt3ftzvOcDl7gmS4tSGr0uE7SJSTk7hZNXi5U0819M+6vmHbmFz7rilNRKcCDHGmJLSrFWZWGOOPUdZgXCWyJLp8lzGj4EgBWBFsujRcWFQr9AdNq0bXRUEvJ2cU00bXzJYQWcuwxar2n6ri9CAXfRqZWCNlqQFwBik8J23cp5aE2IJYs6BlI2JlykEoqdc/5e9HHXv7CAg8//NWZ+QXUZQgkllP+fyOqWg69t9Te+62MBCYbLRa87nCbFlA/xAOemSM90chdNnec+Nr2XfobyuMFHZye5jeq5d2eKZ+OfDG0K2igv4tQYd/viGHfkWkcTz0sKcnslz7K904w23NF0PmiTkANvzxw1+e4UWZd75vnzyYxFBzZVUPM+0cf0aQVO/eeubwVt/m6MpeHPTRPSqxZMvNQOsxWlvOdjz7KfknWc86Y6szROjjCRS+s8aEq4K1rCvjrKKEdW2KDTpRb1+HDNEwCA+x76KO+3nnPeVkd/wdGRxqBtdZzaXpmo39jQDQB44KWbgzaNdfTVqGWQFf+JmyYe+xotjcWEamAhTDlg+F9NjdZ6DKkLfJF632z9aNKPQqgVNu2yDysBSrFEKbQeg/oFXK093c5+Ks/J+X6dFIo9bBGqIjnXZxt5X6lLWmPC3mFNZVZLZUZg5i6/qAKutC6GgvNcGLjWg4gLM7NaIW41LY3iRCd9dH/jU5gbCQlSQgkllFch4YYQSiihBLKqR4ayhla/6wMfD7LlHNwOqk4yTNX9QXppSia5VzU9bSaZ5pers6XxfT0ALFwHmCl8oJ/OrZtbLhZ8DwDPDXQAALbW0oxXWnY1dwHgY2t+CgBojvDI8Acv/S9X3I+ClbR4S1yASgNjNHs1lAcAMeFHPJ/hcUJDeM9styPDugc+DADYtJfHnUYBAB0Zt4zIhBwfJiQzc00VHZAHD6wL2qTX0tnXKjkH6lDdWW1Zk/tHuD6/2krK9y+dpGnfWWuh18oo7VjNWdAxZ6domv/WrueDto8IX8S48EUsLvAZ/e72Z4M2R2YICDs9Rj7JEuGEqIvPBm30GBH9BOc8vp2fyv4DAEWLXDvlTpir47uSd4rMVMmRQfkWK8+qA9Ii7VoIZWKzFIzZLxwVs5LTELe22UalYc9Lv5Kr4YQdleew9iVeP7xHrrGIcEEpOQBQTF3ZsL17yvsYZEtKhqWbW6GYsMup3vNljlNRTirxwWUcfvIzmJkKnYqhhBLKq5BVBSZF5n1UH89jfItARAfNaTOxhZqg4kRhOGfegYZOrS9kAKoUB5uWfgeAr750IwDAz7PtQBWdgdUxc5atr2Yo8bgwNO+op+aMOjDgxzN0Qo4JEOgPNrDY649GrKzaqQE67/78BtaoqY3QwffFJJ2DrsWh3IdaSEati5sOWTmLJ9/3lwCAN+2jpVDZQueblqUDgPe3sTz9ly9Qow/M8v5+5Y4DQRvNgNTis5ODkrEZNS9ueQk1XXuU4cqqJMcamDY127tMS2dDLYtyTUs258Z2OhXzDtrlNgndHo3SmhnN0qN1IWecEDXisDwmYcffW/cMAOCJCeOyVMbpkX/H+ZX+E5/12HbLaNRsTnXwVXVLOfcL5jyd3EGrT51tuWqO6TJPT2yRkmkSaZ2rlfuRT1f7KxeBJ1mcCnRKnzLrNJ+MFvRT/wLHGt1p77DyKAzcLkCnrHA1TjpsT5uFAWqE956R5Wl+wswLhf/XHBHmaOGZrOo2S0pLxU+3R4Iw6StJaCGEEkoogayqhbBU5mF0R0nA979QafuRgkKWZzTZQ7j752znTB8XViU5W514gFr8+dtN871hI8NddULC9+A5avRNnQa4eVhYkquFi+B8hlpscKwiaHP3esJ9+0UDP+bzmksCKwaAO7oI6vm7/lsBAOOS/JOIUmusdfgQWqQA7GiUltCZaQKDfq/rmaDN75x9LwCDRI/MU8u+Z+2hoM3fnrodAHBDExOgnpUy998bMkj1x26k/+MLZwlQ2rWpBwBwMWO8CplpzvXrUTJLLS7JehebBp07y3vPVlLzFhdx/U9domV1bsS0f0s1Q4rLK3x+O2tpdT3xqCWVveFNR+BKXiiHk5ErK5EuST+zwuSk533Akpo0FBiXfKzljfZstN6BhvCU3XjWYYpWTgIN+SnPhpZsd0unaYg8Maj+AbEUyh2mZ1HOmnylLMzlTpHWTAfbB1wQUlA3dcHijvNVUr5OwqFpgSC7iVRqnF18B8eokroMWqsCAEoklL9Q5RWAo64moYUQSiihBLK66c8LPPcppLLEgZouyM5WOiO89aIRlAEXsMQSbbMc5X62vslAOYNzPAO/NMKzrHqyXViyVrL/vXb6BR7opybtajSN/vgF89oDwN7aHgCW5gsAScGhPvnSFgBAqotasirKsXIO5fB7KnjG/5cnfwsAMDxC7VvZar6NUtHOCmve2EqrZnbZzs9qGTx1nAfLmgb6LVIxs5LmheZXk7ZuT9OSGZ7bGbSZHJOCu20cs0wiJMlS09aNe2hlpQW81H2JPpPaOo7ZlDAgV1ucfpznhzv4OUC4c/OegaBNb5YaPDvJaMVnnr4HAHD/HrOAkiW8D02x3vce3svohPk26r/DF2i+WrR/0ZUMXGpFKIBHNXz5yJVgo/ggr6s4z4umOwtTnAFgro7zGLqJzzR5Sbkj7f3U+hBKAq4WhjI0A2YtKJtSXsBVo7sMVKVp/gpDrujhvGYbnSiD3Grzo/zMdAjL9LTjK5A2ZaM+ii6LbvwsCS2EUEIJJZBwQwgllFACWV0a9mJgocILzDiXvWYpIfTWL3GPykmeeJGTk6455FostFQs1snPtgVt2v+ITkUNX/WP0zT/Uf/moE1UQm7d8wzPbUgxrNaTtUzGX19/GADw7Chz/pVVaXrRQoCtUt5ty+4eAMDWFM3jY9M8rnRPmpPrTxZ/HQDw5kbOr0Qy4748cGvQZlZKuelRIVVKO3cqb+Zkv5jdb9pKp6cWrt1daSSyDw3xCKM5AmfLCQQayxhfwMfuZkm4OQHXPzB6E4BCBqexHB2PXQkepeIVnI+GLDenjF3pBxc5ZiLGI4dmaA7Mmqm/XsKXwzV0rHYKqOqnFzcEbd7aTp6GB7vJHvXbW/YBAL7xwzcFbXI1fA+an6IdPLleSrs5hWUznYW6Tp2LekwAgFSPHD1LNTtR3is5euQTZqIr69FKifAYpIVrwPzQyM6xvR5X9LPt+xYO1dJvWpglL38LGmIEjPZeORJyVXoksuNOUvIsJjewseZdaNk+AKg9xO+K8z4ccqurSmghhBJKKIGsPmOSZ4Ur3GzHmCBmpzu4RzU/zF117AbTMHkBgygXo+76GmICgP1nOwAAtwpPwAdanwMAnJ23Um6a599YSqfb2aywGEVNOz43RnK/7WmGz77Xw/ClhuIAoDtGzoTOjdSUXzlMUNSf3/od9jFthWEXZNuvEOfmIyNke+p1rAjNWIwIrPlQH/tfnDanYlMrF2pbkrDohgjXaWjJ5qVl5IukHwUQ3d5umZo/HqXFpLyIm4XNSPkfAOC7Y9TSp0u4dhqS/Fcd9GR9fXRP0DYvYcsRcf7NlnPOv9JxzMaUUneaZXpR5peOOzwUk7zn5ho+mydG6dxteM4cmApiy7SLZTBRWBwGAMpF49Y/RMtp7I3kXHCZibSQSfISzVAtC6+y4LxXWq7dW2EbZVeqP2DeukwHn3HlOQmhS3GXzEbj4lCuAy0pp4VVNOQJGN+iOic1ZIoVaxMVaH/ti7TI8imOXT5ka5Bt4IX5JLD8FK5JQgshlFBCCWR1+RDqW/117/04oOcZZztS/j9ltx3aK/nmB50ccEnk0POQwkdrjpiGme7iDj56N3fOtgaDNauo1tfyZ7dWMSz334+8IWizt4MJRifHCcIpk3PzzLxp66Scl6PCBNQWp0/hwBC1UUPSKpSWRXj9XTWs7DEnocQHTt8UtPnIFtG8Ayz/rtp7Q4WFVR88yNBhUrgJbpQiMXdUdgdtPnnkrQCseO36Cp7dlxyo8ZEx+jkak2xzbkySrortsKl9N8ZohajVpIzKypsIAAvS9yFhqrq/k7TJXzthpexjZbzut9fRL/BgP0FLvQPmu/nt3UyY+spJXpcX66jimIMjlldiWRR63QE+h1yttdGwnLIN5QUKn3DKyi9KwSB9jyrOc35a+MVlKArO4NJv9Qk+Ty3/BliJu9kW0eTyflcftTHVX7EgUOikQKmLc9ZmRcLpGnLXxKVclT0/LWwU7+OYiQG+g5r4B1jYM5Lzcerbn8LcaMiHEEooobwKWV1g0ryPyjOLAdvtdJuFGRaEP39Ozj1VJwVWOm8aazHO31WepfNBi2DmK2yXVod803f53cBv0ArorDVLoXuaXve6Mmq4R8d4nvedZKSNcWrlYQE6dZ9jRKIsbRDTbXWMKjTGqGUVJr24yGVdKLe2SYkYpIup2U9m2d/e1p6gzV88+zYAQHML5zojSUDHfWMmSp7mfd2zh5bGD8/Tu593sKm3tLHPNeX0B3zxCIFXiYQ5bRpTnLMmYP1fO74JAPjKyN6gjZaqW/Fp8WSzXO/7N5JDckf8UtD2q4O0dFJlHKN7lmv86Zu+GrT56P7fBAD8ZJj+i5oyrkVJq2nH71yg1aC8kqWN/N2Fs8bwHJRLFwj8TCvfo2ULACGznu9P5/c4n+Uo13Kp3NZJS8anxLWiMOSmH9EnNHKXMV7pmT9XLVEwhRE7OlctDQUfKZvzTKtpdi2h54k/QBOh4sNmCStITxOxRndxrPoXDCiVq+N7oJaCH2Gb5CXzaSjoaSXi/eKjDJ7nFXued8jzvO/Lz52e5+3zPO+M53lf8zyv9JX6CCWUUK5veTVHho8AOOn8/BcAPuX7/joAkwB+9xc5sVBCCWX15Zqcip7ntQD4EoD/DODjAH4FwCiABt/3lzzPuwXAf/B9/61X60dJVtX8mlrrZGaJU7GiR5htumgSxRwwhgI9FLiRE6acqlNmSk1u5HVKnKlFPX7/D78btNHiJO+sIYb+k6fuBWBEoQAwmOFRoSbBUGSdVDfenjLWocYShsYemWA4rbmMPz90kT/vaTSwUM8MHWcaEtTjSX25hdO04MygMBRNCxls0eMWmlQsfubXaS/f0tIDwJyEAHBf63EAwIMXeYSpjQuRqlMUZmSSobAycfRNT9Dr5kVsvXd29BbMR/M4NLRYVm55D29qZYZmJk9PX1bu5WCPgcZ8MZOVer48wrGVtwEAyiWnQh2X72rkM/rKn749aKNmtrIoDdxBJ2DHt+xYmO3iHBNnpKzdNmZ6lo3Yu6LgoNRFfqdApHg/j3qLFbZeU2v4f/d9BAppz2NjWtFZOA4kHDq2y/7Gag/K/BoKyVV9+1NAXByfmS6Zj2RlRmfsaDXTzD+C0mnLaASMbQkAxjexTckscParf4W54V+cU/HTAP4tLD5QDWDK930dvQ9A88td6HnehzzPO+B53oGl+ezLNQkllFCuE3lFp6Lnee8AMOL7/kHP8+7Sr1+m6cuaGr7vfxbAZwEgkW71o9M+kt1T0otpvmlxvCi4I7ORu2HqYet2pkULwPJ3CxXcz4ZusduoO6h8eJIpdpIa+B/7TMNM/Q61/d3pEwBMg5451hK0qV9Ph5yyBH1xw98DAH7ntHEratGUeNpjk78AACAASURBVFQ0VZbgoCUB6SgnAwAcl/BlbQU1e4Vk9T1yymC7xSXcbxWUE/0B+4vkTCspdfiHNxFpMiHUUudKjZvg+DSdkAmZ19gc57mlxjghtlfTITqxyN/NV9GyurfWgESPTtDZmslS69/WylBsa5LzOzpkzk51TmoGqJacu7HTCAW3JjnmI8O850axjm53qO2rSmilHZqiI/MvX3wLv693rEnJkp1tptauPcxnPr3BwRGLnH8vrQ9lJorkrJ8Z8VNWdWvRFKV359ydJFPkGsTijGhZNY65XGJ/Csrdoe+e/kUkz5veTfRzfRYqaf3VHKOJ0H+HgaKqj7Nvfb81jLk8YnPXsgXxYWGWygps2slqTPRLSYPhfGAxv5JcS5ThNgDv9DzvPgAxACnQYqj0PC8iVkILgIGr9BFKKKH8EsirAiaJhfBvfN9/h+d5XwfwTd/3v+p53t8COOL7/n+/2vWJdKu/7S0fDSChyugCAGVjUuZLSmkvpCS84xQC1UIVAeBCkp3cXG/1MyjAaV5YmTIOvUHDPjYa2sux0jtoDayvGgnaaBLRb7UQKDOcp/aZd4j2nh2jijnTLyzCUU7kX297jGM6yJYvn2JYbnczIce3VbGA64NDxiiEP5binmsKy4VpfjwAKO1j5repXd8myUD7x9qDNkNTPD+vqWVSkiZ6NZZbko2GUxWO/O4GHm6fcRbq5CQhy/+66xEAwF9200X0B2ueBAB88tC9QdvSKDXV/V0EJD06SL4GLd/GedFvsb6e610kKjS3ZGvaliC4S5O21JI68V+NyzIvpdzKJviMF5J8xhq6BoD4EH+nwCQNu9U8bn6dkXtohWhBlKC8fE4LpJgPQUOKl/sF6vcHTYKQZDQjSUXClqwFZThn9q1cHkvyLlf/5FzQJntjB+8zoX4GCXmmHetG+A+ikzI/edUan7PQ8sQGmjj5pIfzX/or5Ib+eYFJfwrg457nnQV9Cp9/DX2FEkoo14G8KmCS7/uPA3hc/n8ewE1Xa3+5LEeZvKTJKLrTA0CJ8Mnrjh6Uy3YSOtSjWpIr3NFdvrj4RZ7R5+vlfC8c/osp00IKCS0VhZn/DjNVurN2Dr/t49z6u3M8+1eIO1jPtgAwkeMY79/+AgBjNnpqklp2fN4qga7Ifain/oufegcAIFdr91e2R858wsmnmkWTugDTiu/povf9qVEmUGlCFGBgp+4p3peyIL00bH5ftTluaWLbz/WQq/G9rQeDNspwdGGBFlBzkgt2Yo4RjVTSojIxKRt3cIJRBS0/N5SxxJ6GSvpUtN7EqHBG3pA2gNOpGVolyh7VWU4r56jDGlx1hlqw5z6ew2NjyoBs1ohq06Asm0B7863VQRtNasqIJaC+CbUc13zZLMaZLXw3PLGoK86Iz6vTeTajhZyfmq485zAm5Rf4TLVUnVq7I+9cY3OvEVjyoFrA8u5YkAFdX+O6TOyij0SjHbNNDtgvbanVnnPt1SSELocSSiiBhBtCKKGEEsiqZjvGa1r9Te/8GMZ3cMyGZ21sDaOUDdEM7b2HTi+XwlodjMpoM7WFJlnlcdvXViQMVH2cZvLUOppQRYZHCUAgapppZlzVabOr9OiiVNhaMivnVNctG12RT5qjGrZS8Io6RjkoCsaKZgor+wKOk1QdowLWSlyynIip9TymLPwqQ396BLmt6ULQ5vwszeLGMjoej08YJl+lMpYruL4/Q6dpRZk5pdZV0PnXPyeEsFLa7fwU+99RY4GluFCpHxjlkWF3DZ13j/Wak/I/bf0eAODfvPBuAMC/2/19AMD3Ro38VcOXh87SSeoJC1FkxtayNMM2+rxKZiTs2G7mcnRGqz3zWWj+zGyjrbdWgtYqyeXyPDWUqIWBAMsjmG7n9dXHpLJzlyVQpI9wvXvexXe3fn9heBwwR7oeB3VeiX4DeY1vZp9KzlrZfWUiwmwLr09e0iOxvMvO0UCLy5QPr+DYjz6N7HiY7RhKKKG8ClnVbEdvhc7C0gz3oeJFcwKpZVA8xl22fJjOqNp9Vnx0ajsdKApdrntenEn7jS9g7DY6peakGGf9k3S+jNxqDkOFhvpF1D66u644IBPldFSpPE8NseQ4+GZaJTRaK04pYXCaF42gjlHAmKDm67ijJ3p4E+nTZrro+Or09KW/mQ4Drei9L+b5nxuaqYk3lBvo6NA4nYcdCUJ5t6T5uxbhgASAJ0fojOy5SMfj23YQkPTCsEGN9w/y/+qw7JYCLTu76ARUeDIAPHGBTrEVydAcS3Is1+L4+yFmUv71TV8BADyUISPTzgorivuVM+RBqG+gBZRb5HNMfdmYs2aE+3B8q5RMU01c5Tw/0a65RqE9PypORueN1/atX2YI+OLvck3UmkxdcDgaBUqf7OM7OyFa3M0unNrMd1ZBUONbOJibaahU7+pUVKvEW7RGmQ2FFrRaqxrGBOxdU4tVgUels9ZG2093FGHlGlMPQwshlFBCCWRVfQiJdKu/7Z6PYElCjN6K4x8QUEelQELHtnF3dXkX9fytu7wWhG181qiZtUy3glRydcrmbDuwlpCLD0kSSSc7dBl0l2MSAhxQZhvOK9N+pVGlCVlarl7LdbmAKfVpjOyOFlxbd9DOjtkmzl3XQiUoAAKDb6smmHgHLato1No0VzCsp2f++6pZQq1v0UJuylWoZekHpcirskABwKJoey3zNjnENulG9v/WllNBWw03rpHydU/3k12pq8oSjurFp6EM1udnabUNzVpoUsvTX5ynNbj/y7sAAPOW/4S0lHrXcLOew91S6BoeLB/husxXyTN2eBI1JKnM3qpFYwKAS5026PnYbt77cpmWe1uRtk6os4ZjzDbJ+b5PAUU2L6mhg2wzx2j/EdfbLQkXneB3vffQuVEhRW21QBFgVlKQ1HSRv6s4Y/lCUxsEgl3i4dR3P4XsWOhDCCWUUF6FrG5dhggwny4KzmhuMc2UJCzNC29c7WE2GtltgCLV2klxqFedkaKacSfxRRJMIvNSVl4YchaTtvdVnuUOXCTntvJ4YUkvwAEFifJSK8IpkYCOb1MbLlUKj+NO7sjFonEWTfFhqUy85YblkWvMYii+TFMpb9/YVlsD5d/X9LK19ZxDosQ0e42wR/fNEVg0sUxNc2LWkpE6kvTNPHaelkIsxrFmF+yw2SKWRp9EICIJtmkWtqXhBTvXnxumtt9USX9FpfgOVpw8uH6Zj0Y/ZqQOxcfX/jRo8+fH7wMAdFVzfgruicxZP7ExzkMjSAoDdhN7luIKcOO6a2RJo0WA8RlG5J1ZqJBnJCxdLuO3AsKmJUU6K1bAXJ0Db5Z3Q4sZa2RpwbFu1OJtf4jPa66e17ul5zMdfF4RUfZqcbiw5IgkMw3ewjVUMNTwTfbSJQZ4f7H55QL4+9UktBBCCSWUQMINIZRQQglkVY8MRXky/mgWn7IZAZbZl+ij3dz3RppSHQ+aY2f4ZppD8xJB9IslB9yxhvQYorTbaka64aalmODQJXSkJrqyNgFGqqnmqDoM4065sJmNZOHJ1heCTPRIFB80J9BsE8fU8JA6p1wgif4uKykHI7toRzbsN6fp0M3C8nOBfQ98uwMAsP49p4M2B0aYb1EXp+36kxGSmr6x1tq8NM02S0II2ySkpq3xqaDN9gTDgf/vIOnpK1M87yQEhHR+xpyUqQQdmD/sJumrMjG9vcn4Ff7nEeZLNK/jGMqK9D977wjaZCd4/Lr0GDNJY8LJM+dkvc6naSZr7sB0Fz8bn7PF1HcrOimAou181m65N3XQxiYkJJzWStGSZ+CEmOueIEirZJrPXHkR5h1q9PmqQmd55UGGw4sX64I2GraeWst7UDr2RL+9K6leAbpJtecgqzNtxxM9IiSEhl35gYsXHUd9jZaAs/f3lSS0EEIJJZRAVtdCWPYRncxjvoaar/qIhUjylZq7LTTsp7nT9dxvBUr9YmGJuaTsN/y+QPsLCVPlWWoL1cwzHdYmJcl1CpfOKFGSQ8MeNeoAABZ2dK2aTKfMtZu/KxsS9ps30pIpyTmOMIFb54RvT62RxKABk7RvLUKq4Cpv2Xb9xCUBK7UVFbS9+Nn1QZub/tWLAIAn+6lla4UX8p96rGhKZyUtgt/cdgCAFWs9P2Jav6eW3rD71pFZSmHJGxLUfINz5nR7dweL437u0G1s08pMwQfOWEJsax1DkPsHCUt+Wxv7PZKxLMxYL7WglkMrmeZn0ZJBhCc2c52aHxE+Sk9g7n3msVXoe+0R4SYQzTl6q3ke0wcLX/9SsR6qTrOfXL2NOXInAW9lkwIVDijO7fqcVAtMCOXCUr3EsR3lrICkfFI5Pfh9xilDV32C8wgsX/mMnzaQXq6TlooWqNV3pMRhKZyvUiu0qICz8WoSWgihhBJKIKsKTEolmv2bdn4YkxsYn1HWF8A0X7ZV2IglmSRbZ1twTJhoFBqsZ/+I5f4EJeY1t12BKPM1jvYXPgY9qw3cISW1jf4PM0JAlCaBcXB9fMDOesqcq/BjDU0q8+3grTZ3BTjp70a3CzzZ2bnTJ5VNR8p9CYAqNm5jKgRak750TZYdvgDVQrv+V4J8nu3rAACsrNj+r5wJzTGe57UY7dEpY28enqGlo2Clcjnznxsi3PmjOx8J2h6ZpZnVneF5eVMlrYjTGTs/v7+ZHBNfvHgrAKBN4M0n/3FT0EatNvUZVAooZ6pAg0oZ+HWyhrLMmugDWKgu0M7yOV9j73v5oGhQMRo0NGdhY1tTnZfyMDY9Kc/RKeVWfZLfaRhzUQqulDhsyeNb+YIGPgP/yrGUtVn5P/T9jji8iAspZdPiz6Xyvs+0OCzQ8p57K8CJ74fApFBCCeVVyuoWe5W6DJoevOQAkzTBSHe1kqyco2sdFSrNFbKqVkDESfpQ2LDCfZUBd67O9r7URSmeKZDSfEqZZUzDlAub7YyUm9NkGRf8ov1oqS5NX86KT8Kpvxokmui5Tnf2ZJ/5EKalvLmmraqfwU26anqEQKRcG8+n2Xrh3nf4KTXpKnmJ89v6J7QUtGYCALz0YzIq5zdQ/Wh5tuMZAy8pF2OtlFxbEgtDi9q6xWM1/XlikeGdmSX6hCJOZs/+S/RB7GxhbYuBTzGZKOrAf0f28Lq4aFB9DpPrDcBVe4gH5fk6fqeWQtUZ6yc6xesG95bJGMpGZfPRpCG1yJS9ShOQNAoBGIhJv0ufpBmRbTQLQaHFej+X7uW7E++z57ckj0DfYQXXZetsLPVFdH6TPpfx3fQXzLRbP+mThZaTWlIue5j+fUUWfBz78acxG6Y/hxJKKK9GVj25afubPxJ4/t1y23omTl0qTPZwfQjqdU31sI23xF2x727rSH0RegZdqGab1oedNFWp2KO7tZQSQCRra1EhY6yUCMZAYM5KXgFY5GFOdvfUBWqNhTS1hqNAA4xC+QjbTAmxhrujTwutXvOTV5b2VlHyjiLxKmvsXDn4ASNs0ZTdzGZqofWbLM04JcVnjw7SZ5BOUutWRA0eW1kqhCgZRh7aUrQMBmZpnXSkLHHp7BTBIbNSx+LGJoZy9vdbOvWmOvoVRv4fHsS1qKn6PABLWFONrlBjN74+tVlSyC8Uus4jjpWkPp+oOOY12Sl9yiDeanXoGIpriE5zvaadRDa18IL4v6TQu4loyoWpFZNKBUKjKdMAMLJbsAUjYgVKklp8yNooiYv6DKY2iGX2Q8PkDNxJ/45aqepvUkubY9j9HH78M5id7AsthFBCCeXaJdwQQgkllEBWFZjke3TgqIPGpWHX4haZDppx1cfoyLp0rx0Hmp7gZ6aTbZR7sH6fU+x1Pc1kdbLkJdynDjsAmK+V/2jioFiaLu+ilglTE3GuQWGt1kYdV3ocGNselbGF42+9LW9aQlKX3sKjQt0B4WMcsg5n23mvc3WFj2Viq5nCtQdkrssKoqEJvFjpmrfsW/keSrLc989Pm/mePsbrF97CI0ysivOric0GbZ4+zUzI6hqaqkorr7NRRyIAJKP8f7qMSJu2Mh4nhv69gY6G1/FMpJBaNbGXS830TwjcO3FeMiLXEmCULzfdVXWU/9dSa8p54R6b9BiwJLg2pdwfutmOfJpRm6vh+Op4jghVupshqP3VHON6jW/h+6FHGwAY38xnUD6opj6kH7s/b5n9aCasOjZjU07YUZybMfqPA/DS+HYD6em7Op8u5PaYr7b3QI+jBLyF0OVQQgnlVcqqOxW3vvWjQfJH2agD2y1WTc6dN3AKOTtwoJpks9PEIJezLjYpThZxWI3uUX46azPTzn1Q2ZtV+1efMABJdIIaU8NKGv7qf4MlmJTM8rqWn1D99N5LZ1v6VGFYE7D8/KrT1DATm9iPFq4FLDlGgTEaBlPnEGB581oKfWwb1aS7TmrxVJylagmYmp1SZwkBWCmAR693Hb1L5YUAGeUmmNwoxWxftOdXOin3tZkdKDTX5YRQvgkNF1ecpOUxtscg0MqErdDzmTYN89lY2QZh01o0zkCgcJ00dJvqkbBeg/AiOMaXAtRq9kvJu0bOY+hmSTxKW38N+3jvWS06K79atkgukr1aNFZCgWcV7m5tlC2sdLqwpJsbFldtP7aVk51v4M+lE2ZpVJxT0BLHHN0lUHarCBe8K/HhFbz06GcwOxmGHUMJJZRXIavrQygixFbPPdMdtuO1/oC7tNfCEFc+IdDcUbs+21SoySNz/Jxc75SvEu68RB9/F++TFNdxO+8WS8qvFoJdKS1MIQWAiU3UEgotLhsXmPIJJ71UNPjwLRXSL79XTV8+btp/aB07Wi7lXDXUqXMATIOnT1OzeMtaqNbh9ZfI01AD59f2fZ7Vs12mZfveJNZVppC/0S1vroAW1apaHNfVEarJR/byPsoGuG5lw5LCXWpti/Ja/4A/l0uxVS2zxhsqvOeZt3Ld8kmHTVjuTwFpi3JbExvNB5Q+RWthOcZ+9H2YXG/vU6UAfgKWbPmIjdtYak0O3EOnUuriknwKE/IFm3qJrE8kqX4GsS5LbA2KJTSd6hFLaJb9KSs34BSqFYCUFjdO9Nu70n+XvD+D/Ln2BU2rNlNYreMlWYOaI+K3cCDeVWfEL9dVjOVncE0SWgihhBJKIKtqISxHWZY9KTuoy6Of2UJ4pp49FWCkMGfAeBJ1t59pk0pJE9am+DLva/VxfqGEFoADJpF+mp6WJKfbbTmigrlRjVI8L7Ucih247mBhBc05OV/q2XbZgRw3PM+2c+LRVgIW1/mr7M2ayqpn9yJHtasVo5bL7FpqWZfBul7qVeh9qo/FrYKl11d2E3w00y5kMc4boeftpsfUn0Mra3SXzsepmBWh70DPraN38F7qnjDNrnB03+N1VWe1GpK1WTRDBwBQfVzYhI9bTYmeX6UVWXlWSWwUcmzvQbyf9zV0Cz3z9fvpT1mstLEU9KYANV2nafExuanEmU6NPPDnZC/Xsu6wZdbNtBYCnbTC1NgOh8fxPD81IqXAosA3AaD5CbFuTzGFfOxWYplrfmomy5mPCoHMiPp5+H3HdyxFuv9urlPZiF/AAH41CS2EUEIJJZBwQwgllFACWX1OxQHL9664sOz8TnIZxGxWE8o1YTU0o84uBbYsJJ1MMSH80aNH9CXJwtscD9pokRPNSlOQSbzPd9qsyPjsR3HvmvUImAOt+nihPTZXX3hcAYDpNsnI6xazewdN9OqTxpc4sZFjVEjZOAUoqTMVMIBNrkGASaf0vm0NdC3nGsUJK2a3e6yIjXOM4pzwTjTS5K88Z89EqevV1NdwXNtP6Pmb6bAYpYbRguPSQQV2uSFTee7naGYv1LCNS42uoWA9Kiroa2JXVdCmXByhSpeueq1s1Nby3Ls5tzahO++VfBe3cKoem+ID7E+BRYtVyotg89LjiIZ0lQtxocKATvo+KFhMwW1NT9n7oRwZ5TJm8hid6cXrjKt9eA+PNaVdLJ1Xe4Qe6NF7u2w+kklbcYG/G9vGeUxttXVSGvaJzcUBT8grSWghhBJKKIGsqoUAcIdVZ5nyCAC4YgdTYMqcU349PiwFNLYLN4GkE7oaRhmJVLtdupdOpaj5WgJQiXIdZNs4VvKMMx9RNur4VAblnMP+qyE75VxQPoRi8TON7jQHVuMz/HJkNz1Y6rBT6wSwIjBZyXYb38H+1v/dtE09yjn2vpn3pfwKJU6RT3WONeyn9leQ1oKTmReZ0zAo56POLVfKxiSbs1Y4F8TJNraTY7uM0Rr+0mvUWZrqMa2d6RJuiR0ClBJlFhuzuadP0vnnF7O/kT2cX/mww1UxUpiNWL9/Vvoz52vREiegDlAth1bkzFmzSyvO8FPL6vXfVXrF/UWnlmQMsfROSTn4NWYhKOtRPhkpWAs3LF5xVrMm+fPETQx5ulmTGtZVa3RsK8dwQWNt3+cLPfAmmsRqDbhgOH0I8X6/AJZ/NQkthFBCCSWQa7IQPM+rBPA5AFtB/fovAZwG8DUAHQB6ALzH9/3Jn9EFAJ7ZFio9NOzj7uqy4GhILNsodRBkq8paboyV7Fop3GXzlvMRsOekhF+vRJSrnkXZAT+qBABUmqG21AQrwOCnak1oKEpDpoDl2CvYRDVKbFoSdJy6DHMNUnZMFErdIWrO0Z2mPTR0pAkvFd38nNhusbhi8Q8s1AgIRnggo054tvceznXD53nWH/p1nk+Xym3u2SbJuc8pxFcYeBwQVPkQ/68ArPQpKcS7tTDfHzC/xUqEv1Ptn3f9O9KP1hKIThVyDADAyB76erzLwmR6ZgeAOWGJUqtt5AYpinre1GCih5/VJ2mZ5ct5zXSHvfJ6Dtd3LdbPB1AyQ61d5rArje7ic9L3aXRXYZIaYEAtDS3PNVzJm6l+lGDuQkrd+hObuwKu8lI2rmzsSt7M/rfQMlCOyOJF+btxwtiaDlCS9Qtql1xNrtVC+AyAh3zf3whgB4CTAP4MwCO+768D8Ij8HEooofwSyytaCJ7npQDcCeCDAOD7/iKARc/z7gdwlzT7EoDHAfzpK/XnF5lH1AUUxQepMZOSjDJ8MzVF6rxtbZEF9fRyH1N2HU0qAQDf4654OTTXZV3Wgqla3FN37cQl4/XPNrLzoOy3wJDjhy4FbYbeSa/v5ZaBph9reXAASPTz/pTPX8E4bvFX9aOUieZUa8JNSiqT83biklowyvDr+Fp6JT04yQ4an5NIQr3NR/0TtYeFyTp9ZYJQ2QRvrLKbc5/u5Hk+fVqYgTY7RXazkpy2lv1VSvSjvM/QPSWznM/QTRpNkWjRsPkZhpukeKmsRVRszqyRQaP1UVqYCwIy0mSgAoYj6TLTyTHLxtjGTYRL9gswqpX9TG2n1tXz9kKFralGGcoHpVCwPBytiwAYz6IWoVWry/VbqOWpVmXyvKTXu74pede0nLzOOTpmZtNKqVjCArMuG+SazHRatpVGYfLlniUGvoJci4XQBWAUwBc9zzvked7nPM+LA6j3fX8QAOSz7mqdhBJKKNe/XMuGEAGwG8Df+L6/C0AWr+J44HnehzzPO+B53oGluewrXxBKKKG8bnItTsU+AH2+7++Tn78BbgjDnuc1+r4/6HleI4CRl7vY9/3PAvgsQBr22LiPvJBquo6O6XaaihPbhL9AsP9a8BKwUF36FE2z2SaaesVmcWJaqKoVbKKi1NquaKEVNU+zzRZC0lCYUlkvSFHP4T9YE7TR8JCamHpU0CNI3gkTzbRwkCmynyMpsPTq48aYlG0Ux2NJoRmphV0BMx/VoZoUUtqRG8xUVGddVszv5PlZudYxJxfYgZshCBiXgzuPic28bpqs6Sjv5zWuU3FBSuhVHec1Qa5Fh3l8lfWo+UnJK6jg81NSWsAh0pXjRNm4hD4bnOOOEN1q3kNVt3ALxBya8tNc1xFx/umRpvKMvSy+ODP1vSqRAistDzGR5eL9NUHbpPBHDNzBtVDmLGXHAux9VOfmbJPSw9szzqX/v/a+LEauMzvvVO/d1Vv1vpJskk1SpCiKEkXtI2k08SxOxjDGiYMgxmDgwE9BkMlbnpyHvAQIYAdBMMAAfkhgBMbYSDKZ0SyyZI2ssRiRkrhJpESRbLKbvXdXdXdVdVVXdffNw/m+e85la0gKHrcl+D8vzaq6y3//e3nP+c/5zvdBdJbCwnDJHoBHER/eay4rK64zludvhDbv4kld4jbl/PJZPrPdN0KIomhORKZSqRQIoeRlEbkiIv9XRL6N774tIj/87KcPFizY58keiDEplUo9Klp2bBCRmyLyHdGXyQ9EZI+ITIrIP42iKPsrDyIi6e7R6OGv/dtY0GLpuL0Wt5oB5byln8kItDpmZTkm7whLpsTZZouvteifDdCTUxa++wPzfOy17/kQENqMvtmzh51sHCIE8tvxbV3psPnKXCUVevK9WhzBtdy07yhDvnQSLEuvqxfxHHgsbbL8SKCTT4Qx0chybOMyIhhDvkrf++q1yM5DCnEPWqH4bU01ldhn3QmGZD7W+VkbYycky4bkFbSyMTs1Cf8deUOjkpVxg4xXYunzpMCN7xpdG0tC1uuwyvSJuQ1oqA6cQ7KT3ZJunmj0xARwsfQpYglLCsuWuyicit9X7aT5kbrEuJrIMOUk470cm4jBuAnVFxHpuZwUECLk24PYKu2AZq8n783U11zicQZzN81x6PdVNwY+w/kxkcnv/ZGUp+/PmPRAOIQoii6IyKlP+enlB9k/WLBgXwzbdehyVCOSntAOnbmnza2xAYQMuAuAnLLRRMRAIC1487Es5N/6w2+oSymOqFcjkOfOS07KDbxzhBHTI/ie8dYZ/ZCe12NTwquuaOfiGq0N7EwlMCXVow/er+fI+5eGVDjZdZjHELESUgPKl2QhWh0z78F8yd6f6HXOPqtr9L2v2IK+NKTXtfC4jmP4TXD97bXro9ApI44qyqHkl9Rrr0+MfeAseBxPNCauX0Rk5YA+ShQ8XduvCRSuy0VENluSwLKWBWP0oTEfQNBX/hzt7wAAIABJREFUfhjr6S17DjomEPGgrNv1oS6yb37LciSjf4lS5J7kI973ngGANjrJj6jHY0mQ4qodV1fibXNoPuI97bygTUmLz/bG21AopvO65nXIj9BWsDkoIxe1inxMfV7nuHVqJ2/muvY2xZF0Q9a2YY6MURfL48qwjHORn/Latkw7tvB7WYAuBwsWLLbdFXvtG43Gf/ffxY04vspAb0MwzOQ39cf+N817bAB8kx+Dh5nTnTYd8y05+ZjlHvmpkjLe+pa9ydmkw1ZbvknZ3CJiXoxtyswBJNaJJHBCZFFGUpqSYE2OCTlzdk5ERHJPDCSO73klCUxizoCtzq1ujU2YLbUNmDVfeMw19lSTf1sAfS0MOqAN+APjVuleNu1YafjOlzX6oMx6yxzW2j0WsdCWjwFoczs5Tl8BIvET5ys/pn89T+XdeRRCzjddBYGRXAPyA9zG51oooxfzJoINq3nRrbHBhkX9hNHX0Jr+qN7zGnscpPNGEnTEBr111w7PagAl2LIvqVse/gubL1ZamBPhOD3rMiMNVk1YNWp2wCRGApRFZO7AUwoQODZwtiLvnfmvkl8NUm7BggX7DBZeCMGCBYttV5OKqW0NtZgIYdlQxDgNuCyoy5JK3EIgdkL2nk9i4BdOWrhcj1Idy49cKjS6gihZi8rdGspVNgkEstCO5+29qGHf/Gn0XyzuJCpleNx3HgxOSHZ69ef5lwZFxCcumQyy47VNJUutDPlJNy8iMvsspOqu6X5cKnimoyyEVAbPlPEZ5J+OwHQTnaNVlGepGpw7bGXC+PylZEheRm9Fi+sG3PszPdfKwWZc584wvgRuC3ZN1mxCBdwtB9gJyWQk9/fblMEdYBwaKYzTdR6i5EoF7IGzSHY6RW12ULZNcC71HqcBQioOmb/ks8GlQiy+4lwqiXM5lz2v6vG2Gu0ec+wEVXFZyI5GEZH2m5rV3G7S+Vk+hmXrms1BnqAnPMvFIZ2M9R4bEEFms081SPXSg6GUQoQQLFiw2HY9QqitRHFSqeiSXCz9MQnVjHJfw4qVibbrIcIyjbLOCLyjgyWvHNS3Kr0bu/cSJUDIxXVfBqQ3SmMfe5OzE5Ieqh3JGg9CoodcPkY+BUQGdUmvq9/huN0YzxKvz/EroLTG7sa+83qd809YBMTE1SbLhZBKKznPwI7I6S/pRhnwCBZH401k4Qn9S6pw9vm3LFriahMcAjGvIcRr2u7oNiwJioisgV+x1IvS28cAIc3Y/Vvv03lfBSdB7yX1hOVuA5+t7UXZ+aiOufusbuuFgZmsXdsPzsjLem+2He097xs9L5+v7g8tU8gEIbk5U1uAZKNMuLHuORiSnBfstPUcjYURvQcx7B3Qdc9j0IjncOgVVWEpPqQ9geQuEBGZ+g3AkMHyxTJkudNCzvYpvQdbzRC0aSNnhV3f0sN6vxryyUjtXhYihGDBgsW2qxHCdp1yx3XcVq9R8Ww6PRTCAGwT4JC5p62m2HNJ34rzaOSpxcuwZBXFmOm41AUGXXhp7z3YzLR2UN/EzF+kNp1HAECH3p78dp5nj41XbDSJmYxjQJE1S7Gcd+NbfPsnS2YiIqv7AfjBXSFvQP85e+sTLsxcRFxCzdtxmLtoBQiK0UlDzq5v4Byafx7VuYwbvBxnwrqmPWLuyq6rZLAGaMwJufJesKyXuaahzMQ37f51XwbzD+7F4gn9zfNBdkzohdUVk6Cj6RccBBqS6pmrejzyblYcqxKBO/lRAMJm9PuZ5+yZo4Ar+Tc9PFokyaHRe0HHNfeU7s/mNB8FMvIl2zU/U1hXxMBPG99Q7DmBYTWuPMv8Vy3Kl9y/rmgDZG6EUerKSR7AosnMJ2iyGq5LPLf3shAhBAsWLLZdjRDq1rel90JRbv62Lq5ap3au+bi2zXyof4ffMEguwUul5xQw0wqcRe8Fw2WujOsbkllprvVanGgsLXsUYI7r+tl7a4JCysjCs9GI7LYi1jy0Btgv25fZUOWBV9QwaJsgrBmybe6c6xA0HaWA6wFNRc98ydbYcbMPIgxCfdM3jZl58UnI4mHdzRxLg4PQ1pQgVc4mIuQm2J4tItKExikKnVbB3syIjAzCIga0YkPPRkbHnLlqx2P1hQAlzikb2UREpl7Guh7Q6olv6rwNv2W5iNw4qkPtbE1Hm/gtuz5GhGTvJjzaM3CxGtN7AToYvUmY9MAZF5lhPb7vh/o8XvuORjdDb5hP5fNJIV9KzGXeW7Jx1erkkSGMDM2rY459SlNbMRMUNUrqXCMVmcHaL+qD3X5V52ThGWsHqM/rPW7K1eyIfn6VhQghWLBgsYUXQrBgwWLb1V6GdO9odOS3vhuH4c1OoINlNJaUCBrpumLqurVlyLyNakzOMCtzzUpl7EqkYAu7y+o2fHirfymO0fO+htuzz3fE2zDJxmQMw8FtB+Nnso/lKyYXYxk5V1JsRN97w6qO6/bXUTJ1ITXBLjxHCYnNsR9YyHnrWz2JcVmJy7EFfVTFXGg4yoRf7qidiyG5dXomS54iIi1ghCoiScZSbiPu0ZYLYfN7WW7EvijlcQz++vre1XVP9qguB3yHZd/5KuZAv2O47JdqOfBWxOItmOaS7wcoJsvNBFex41JEZMMlBPU3lIJXdxLz8p60oSOVwKmFx12S8gzKseiw5Jgj53bJg9CIHov6fBXXZMnX4gien1zyWjwjFOUMSz3Je+OTyyRr3Wqskcuv/rEUsvfnQwgRQrBgwWLbXWDSlgqtMqnkk1wlsBg1AhqaPY3SZKcREzYuJ9/cGxmWKD0duP6l2MU6+Aa6P7DEVX6Pvu7ZwcjIgEw+IgYmYdnxbvFXEYOLxlBsJNTq8ZbOHrNrb1rSqd5q1L+jr+l4fP86odBLx3V85GwsHuiMt2H5K4bgYncvdUYehb4zmpxcOqWJpu5LPhrUf5PfkqVAL6vGBGEzAhRuWyU095Il3RpzOmaCzZjE9QKzA2+py8sd1+upEAI9Z9tMfUUnoe9d/UxPyGsSMdp9ckqsgn7dg7zIUlQPcFHbLc2aeoHazCc6fnI0UhaAc+Ep6dfG9DtLeiM6vWrb5A7pHAy+nRTDrXWAt1iyjV/hYwy5FxPPIYiqOKjH9UlqdlRW8Gjs/alG0j7SWAI3Y6VjW6p/Iw9kIUIIFixYbLsaIWzVixSGamJvtuXAQvSqZTDL9v01hExKvrkJ+QCUyAj39BJsXK8RxFG3DtCJK++RDSlePwPYwt5yEeMhbM4StgtZLdeMlJ7XA1Rb9DfyL3IMh753J9524csKRFkd188UAB36yUy8zdRvqxoJS2VcP1M6TecDY0bAw2vwkOqO6/rj7IsqPEKZt9UDtk3n9SSkl3iWisshMCKI+Su2kuckNFbEGntoJfATkq9QRGThaS2Hcn5ap1HOdLkIMh1xHd51RRMz2w02drJM1Rd0v/wB3Wfs/1guaX0AAC6cfuWQ5p2yx+xc7RMUUYVHxrnmnmCDll0PgU4DZ5N5AcqtiYh0Q6hl6iuK2GLk4/NXjHiYU8oe1ud8yzBscc6n0q5zQDATnwudAz1vVKvH4/xQCFevnZyVVVlcfbBcYYgQggULFtuuRgg1WyJN2SiGKfvsa+Y6XuXsXq6hd7LXNFujKRme36dvcq6nRGyNRnFOZoU9oxDBPYRQc51b73RkyKU/d1rPwbU7Ya56TEYsOlZWGchAvPLEYLwtKxuxhgPGXDzimJwQJVHujfkBL/fG9tv0POTJ0YTlIbTTL6qHIgMUm5I8bx+bYZaf1gE99O9Vom7zoGmm5feq2yKAa/iv1QNuIzLzTMEpqHL0XtJt5p4Es1DB53eQ6UdEwDF4TYLplyA9v0bIOXJBvjUduQJWJ/b+BCzeJ+wek5+SLcyEitfnPcORkzoT40DsfzfZNi5iOSXmdz6NEaqEdvrei0nt9aLTlGCTVEMe4sFTaMxyual6tHHnDoGn8goqZq65iXm4rg/0uuafaMI12Xlb5ilx1yBb50P7c7BgwT6jhRdCsGDBYtvVJUNUq8AXAjZWHcEolwgUUWFIxh51b3e+rAkiirsMnLGEFhMyXCqQpccTqC4+CgahNEqdKyQ8tfdj6wxKWUjGkM7bl5AyHzHE188EhaRfV7RR8eWH4m23WZIsJLs6vSovgSckBt0CqxFp3kVEauLSJsqPKLkxHBcRKYD3YOY5vc69P1JanvKQ05aDbV7Q0H7hmypR5xW5Vw4CRAO2qRwAWFVcb3rWdVgiQbzRCSafj/U48086oNMMwvdsknUoc9Pi7pqqnoNqzxUczzMmcc7IUbF8dGdibhGCOL3nk+rWNT6axyFjzgswFd1C/8SBP83Fm64e0/reGpatVIP2rFh8fmpu6ABzB/Va1g7ZnA7/QsfMRDGTu/76aiGeQ5Xy1THdNr/fjkNAGzt1B87o2NkbISKyeMLmZdvaYe5pIUIIFixYbLsPTFqNYsjx6I+tBXHhGUBy8RKkp69aG7x0QkSTnXTs96fIiIhIfVEPQHpzJvpqN5yXRZ4ydyjpAZl4EjFgU1wmAsciIxgRkTKEWXo+gGf5urqoqPZYfL20pmUmhhoS1+kTTuz+WzpB7sid4hst15VGZ+lpZdoh1LvsyoXtkJCrKzOTqX+84AujNEJ64+t27D5953XMseAufmK5r+O6wco3wHqUGyfduR537IfWiVpFGS13sB7H0W1u/aYb12099uDb+gBQCNZ79sxVBf5EdXph7R9rhJEfN+i5wcDRcQgmoRon+EIGJ7IPzZ/Wh61ZyYxk6XQm3rYR4jl8Lgll97T8LAmzg7VtWo/rE6vNczofbW0416JeWLO7DbnDOi7yT2x0aKS356eWYK+g87QAqP70CxAd8rJ/SDw2rkjgQwgWLNhnt12PEBrz27G0+tpR692OxVLOo08c63sPeKlDI0hdiZ1H+sdzIaan9TVdGILICPj/Zp639fPAO/qWpggL8wIE8IgYe22c7xhLNqyIiKwehphqBdyFH+F7rL2H3rK8BctK9Brzp5PMOyImwEq+RZYffZNNpVUjA779Cc7yzU3kgIhAkbDRo97DQ7MZQbXfItoI27qyKq+ZzUzkW6TM+dxTNqf09tw2DVGX5YdtYU+oOHkgU9sABF20OSBfJhmx2Qjn56DtDrgZx8gZ6JR6YIVhvT6C4MhVQTYjEYO+N+ZQ3ruMCLSTIDQLSzbTpNjWPyxvl/t2nFpKvShNYhdeg55fx5rfC8h4I/IMB2z/zBXsB0EcRrQbGfvv2nFV80Lb9RoVxazlGV9W1b+15ShwKgYLFuyz2+5WGWoUBMLMvQcm8Q2WxfqJjR2Tv2Hp0doKvDQANulZfYM35MwTzz2j7oeZcK6/Mx8777gHrEpwLMwzUKbe70f4cM9l3YhvfxGRfnLytZKTD3Dnef3dg00IVSYkmvyGfW8txNts1/diP/1M1l6//ovbsLHWTy9A+r3JgV+G6Pn0c2FIx0wwk/4GD4c8CJuBhl9bjbdZfrQd+1UT18AxJEA54JzkvckeTWpLiJjsGeeb1+VbyptmND+wNtaN39AA5SoasZ5GBysbeo9GfjQXb7PR3i8i1qbM3Eita4RrwD1mRWoznYS55/fYs0cwVed1tOD3k23JMWg1UQsCEeIvSxiLRUmMzNg4xcrUnldtMmMZwUeSkY+H+m8+qlWPjpsA0IF7tMFBlItDBiirLSdzRb/KQoQQLFiw2HY1QqitbEvb1IZU2tDeO2c4yznImo/9UN+UhGL2n9vZ3MS33QrqvPWFnbDWDaQn6G198w+ht+Qj5Nuea2YRkXaIoVJ0dOUA4L9zroEGHHxcIxL63IFqCNWDRGzNT1IYrgsLRxwHHvYnmzEz2j5y6biuc5Y7AiwGmlp8+2xNleQn5DdEVcAJgTYjT7G6X6+BcO71PVbWYV2/CNgwqyCEDJP7T8R5PFRlPi0vQ3KSMsYT63MMm+crj2hUQjwEGZU9PJ3RG9udGZ0sfKk/3mYD92TtgN5b8kPSw4s4oVTkX3rOqfx7aQ+ak2adxsGj0J3ogV4HhuPhxDEsGc/MElilPdYkPUtsAeD72H3RqY9tQ+lp9FVQAKCiwAqaiBGt5Pfqfmyk2nLRVttt3K/++gTr+L0sRAjBggWLLbwQggULFtuuLhmqrTUy80yztE2ym8vURzMfkMEnCRlunrewrdqiIVjLgoZS5Z6deEwmCgnqYYekL8sR7NQ+qedoBd11Je177nUcDOkY+jYuu1JiPdmUGEIjgYXkUu6gTS9psMlJwOWBTwayJFkADyEhy01LlnCqtlKgg8ktMDG5qRj5hSazlh5GXz8Se7lDFpbSeH1cWi0dt/EMv4XjHNPjsFw4+nNNPC6fsPvHcDlzTcdKubyNTrdsIisTlgNLjyTnQkSkAHYgJmhjMFrnTm5G8gyQ7rzqQEIMzT+ND4OWAaBpbZ+OtXAIJTw8K+Tj1OPgXJhnJhnXjtgSpO9MMrRfGSf7kz0z+VEA0zAclmIbXemVidByN2D8oFxPO1m8qBa060eRaL/DJYPNAeewmKlJJG7vZSFCCBYsWGwPFCGkUqnvisi/Ek2PXBaR74jIoIj8mYh0icj7IvJ7URRVfuVBRD1V650ofrN33LIkV8PKZmLbXjDzzj9pcFQCbraa9HXH0iLl20REskfwtgcwhdt4rkDCastg9WGDSmHUJV7wz/6zEPHo06laPubk0jH8Ui/f4ChVogd/8G1Lmk5/SZNS3VfQ3PII4Ns/N/c4A7myemjTsHHJQ5fbPlKc9cQ/0xJl11VGQrZN9ghkyF2zj0iSM4FS4dsoTdLLetHYrfqkd+U2hTGd1PZbdrs3mzT6KPXx3gB0dMaEdmaf1YhidRygryn+4ngcq2wY0/3Jq+DvH0E4TCCTHTrlHiEmYlvv6Bhzh3V8Hppd3pMUe60BRyMFWT0fQucnepzCMD28nrP/lzZfFF+h3B7Ng4IIgWYUyWiHknMiIjVbiJzAfdFzSZ+j2efs2WOplMxZbYBfrxy0UGAT96sxGyXYn+5l940QUqnUsIj8GxE5FUXRwyJSKyL/XET+k4j8URRF4yKSE5Hff7BTBgsW7PNqD5pDqBOR5lQqVRWRFhGZFZEvi8i/wO//XUT+g4h8714H2a5TCGq1tLOtlw0d/G7mOUQGzmmnsU5KgzeudgPlwn32VqRY6MJj5OTTbTddCZBvTsqYscS4/JhtM/IawFMoUZKBuOryDK0TGj2QFZfrZeY/5k8ZtHfwjAJIWE6twbJybb+BTwg1ZcMRGagpkS4isrZHIwN6ncIQ+QU9a69grPqX60fPIjz3NLz0LQB/FndqCBCExbIlW5rJe5kbN0/IEinnttSn51odb423oUeP6ggo0u+992JkwRyAAORV6rcHgYCr1lnA0p/VGznwjj1PVZQ4555GufiWfk8glohpd7B9mnNIQJmHzZN1io1Q+WHkeSYtOo2hxSmOE3Ow34Hr4uYoQM4xhb6xbuUhRD64GZSHTzvGq7oNHVv7beyDyGDTYZnSEIldH6hJsFLdy+4bIURRNC0i/1lEJkVfBKsi8p6IrERRxFt5R0SGH+yUwYIF+7zafd8bqVQqIyK/JSJjIrIiIn8uIl//lE0/FRuZSqX+QET+QESkoSUj6dntuGWUa1IRkS60p84+pR6Ua21vBIosI+tNz+Wz1MvIunZ/oPs3QlSVQqUipibUDu5DMt+OvGauKn1L176pMsAhj2l7ts9WM4vL9TgrGnwbU45bD4TvoDLVuKK/re2xhT4ZiovIV9D7J6C9WEs3w6PQ0/g2cW5PVmNqJXhrh8AtvSwJYKj6JGJr6s2mBvxNgls8QQo9O0FLzHqTMVjE+BbrNpKPXcOq3evtxuQ5Fh/X/Uded9EkuAbppdkM5o2sxoO/BAgKa37Ci/31Mdri88jM/3q/bctqTBaqUWyMasi76PQTDfHmTyfFjFsXbeyNWZ3fElqvmxeSOQ4RkdFXdfs7X9HPfef0b+ttazdfHddz8Flrhiz88nGbC4LWarYkEWnfyx6kyvAVEZmIomgxiqKqiPwvEXlGRDpTqRTv7IiIzHzazlEUfT+KolNRFJ2qb0p/2ibBggX7nNiDvBAmReSpVCrVkkqlUiLysohcEZE3ROR3sM23ReSHfzdDDBYs2G7ZfZcMURS9k0ql/kK0tLgpIudF5Psi8oqI/FkqlfqP+O5P7nss0RJffi9OXrI4hv3q5KrLHdIYreuqhVuVTiR/ABJht1zXFSvvzT+pUQhFX1f3o//BsCFxMoudb0xqZY/YdKzug6gIw/+PScNuSw+CZcidUEEetNy3nRiviEjbpAvfxABY6y5ZVockKUNYcg/6hBB5AYiX5/Kr7Y4lwCiUy6VDy0JSoFREpAz69oWTenACZSrLdn2tt0G7Xq/3hqF06zUNXbMPW9K05zK+O6xLIPJGeGBSfjhJYd73pnYnTvxLo6vv+hACJhDGGfkrnXf2EPjrYU8Kk7Bc9oiIdILWP4+EbN85nbDscQNTlcG8Rc4EciJuoPOTUnoiIlXyXWLJRi4H9p3ofhr2d3yin/k8+FLnjd/VMY7/qSaZy706BpauRazHpusyrgfLnewxm28uYSjO25zVfQ7+t8l4m8WvjmHju7gk72EPlHuMougPReQP7/r6poicfrDTBAsW7ItguysH3zMaHf3N78adf/7NyW42ejV6owQbbYX8geBCBMjDl63ab2iGcfoFfXWz1OXBIW2TSXhtY37nHFBejOWuzk/0Ddz2sTHxTn9VE40ska1DjpxcDp7hZu5JMA4jARbLfJV3JimZnGQpsNbJ2W01QTYOsFryGMRlOjFwETn5yDK96UiX+95TlzH/JDtP9dzkaBSxLk6W4ejZOd+e6Tl3RP/2nk8Ciyh3p2PX71YOQigVHBX8LGIMTmQkYuK4zqgZJfOxjn3mOZ3fDiZIZ1wn4yC6OAGC45x4vgDKpcfsSkjMre2hTJqdk2VBygbWrUPGz0m5sRuX886k3to+ew7iDlE81gvP6pj3/8CVOAGIWh9E4nIFUeCUY/TCs0aeDiYlPWt2LGx0ZV3OXvyerBWm75taDNDlYMGCxbarzU0i+tYlk4uXt26+BtDRjL5dV/eD79AJZdKbFo/ju6mkJxURWTilQBhGGGT18YCb299Qr9hzXj+zlLjpSl4xOy/Wiuydb1h1i0YYow+Wfko9yQYdEZGWOT0O13J5yIs3Lts5W2cJokLjDNbEnms/PQ0PjDwBgShedp2ejow/nOcWtyZeGa/H+fVz///Q7pqF3zsRb1MEsqTnEpp1wBVZ7tXPbRM2qV1XcGxcDvkhm3MOUn0Y6/n3CeiC1oXz/owCCRZbLyHXMmDHIQ9F/7mkFJtn1t5u0G3WIAy798+VSnnhxQG7PvBgMN/BvBOjAY5FxKIlcn3WVKnPYPDtpmW9rhUAtvib5+Gk1kbrLY1kGwoatpGnUkSkg4C3UUQ5qDZ66Dmjl+kXkbMB90GNq9azoW/+qbRUbzyY7w8RQrBgwWLbdeWmSlsq9lTttyz1mR9Rj1V8HPzyeNP5tmWuv5pBQ8hmp42KA5AAqNM+AR5+eP/lYwYA6n0PkNKDyNAuYH255vjoBpLvSmaMfcMLgT8LpwBAuZVcN3vgFWGk/I7X5fkSq4BXV5AI77yBHMmMZ0Piv9GYhXZXrrlFDPLM6Iq5mm3HyLuJ6Rj5K63QlF5ULQnKr+vYdCNWOVipab8OFiOn6dACbkc2gbXe0e/LHR6YBNgvIh/yCW65XiBGW+SMZATk80QxlyKa07h/hwOCNa5qdJQ9iTzBMYV8E4glIjJ3GvkTRDGMVJi3YBOViMnBl7uTY6grGyyZiltUzqq26MDaEmzXyCuAlYk5M58fmHtK56fnAiLiwWQzl4jNXWobkQqe97q8ldPWRtnOnYyQ72UhQggWLFhs4YUQLFiw2HZXqGVTpHlpOyY8nX7JUZqfRYIIZRx2ovnSJJM8dUUk35Dg4WcRkYacxn3s2ScLEhNtIiJreyCVdlHPUYPQuupAR2QHagWrEl+d+T12PRWUP/f8XMM0dgeyI7Ip65Kdj6N/YgLJH0S3hb0WBg69haUGSotMPBX2Wr1wBSxMmU907AwZfcKJxgRT5w1wHzhaePInzD+pxyZhaV2XzQGXClymsA8jTrC6DksuXVgGbb+t5/SMV+sDLH8mQ3Q/9mIf7v8UiWp1EC1zrpyGjkWOq2lJv5950RK+HbjmxnmKxbJEbWPOfIQkMJ5HLidKmzt5KNirwaQpAXS+nM0Oy7EfaGl6fUzXfqVuB6piubnExC/m0hHp9lxkj842rg8gq1FbnmykWW7GvUWJk8+9iAH4ej6oyLS7V/eyECEECxYstt0tO6bUS2XAPtOUtdOzbNY+iTde/c7SJCOB+SfU07CkOHDGvBAZlljyI0x68G17A7dO69+lY+hc69HfOq45oBTQ0AS7ZNEzX82Y1+9Aco2RwdKjun/XZfbB2/X1v6tveQquEgpd6zr/yJBEbsXlE/q292VVJj6ZjCz1sfxlybLZpxE5lZg03ekdeH3tgCeTwWfhcfNmqU2W8/Q3dlSSmajqEr4VRHbsAizldZ/1HmvQb7+tc1BTJZsVj2/jIo17cQDRI4buOzZJZc+IkQngWmsGjHkPuj+EJx6pSewrYgK+K+ieTM8nO0frHLU9k8Gc/+Vj5Ihw2yCaXTmu2Pj0nM5t9iFH7w8qfI6dsOn8qG1DmQFGERsQpqkvfcp9pCTB/noc137j/Vl6uFE2Lz1Yu2OIEIIFCxbbLou9RtKY34qFJ7z3J8yTjTlWnrNt2ChD78Y1baXD1lZt8Oj0oI2rXGPbu4+wZHqm8f+pa/XFx2z9Ra868zy89i393P2+HacTcuhVCM/s/TEbarRcxyYcEZEaMNwQOpsfJcBl51uf4h+Zq5AC67brI1yYkuPkg/S5li6IhW7VoxkJa+M7XzbvP/qaTtDa3mTFHzgHAAAO70lEQVTDWN97Pu+h21MuLnsEZbpFejcr862M6xgp5ca1dXrOQ5fhyTeSY6/163DcGwJvBt6GtNtBa51fGWcOCHmKRTQadbgS9TobnnhO/Z6lQREDJrFRjPPO6LTrY3O3849Dmg7R0cBZPc7iI/ZfqHWaUSnyVgsEn9k9Xsc5m5eS6qvlHvt3xye6fe4wBW/1c9st22YbjwTzQoTY95+ze1KH5r31gZpfKx9CsGDB/oHYrkYINaslaXnlgiz8/uMikszQMutOIVEy3/q2XgJ3CFah9BozrSIi2aP6Vtz3v5WdOD+uOQV6ZBFbBzLS2K5Ds5QDfrB5hMKtUS0bTWyb29/QgfS+D3muffqZvHvNt41xmPJgHDvbVv2aj/PB7PIGdCe8vgN5+hhllcFdWF+wdzuhr2zPJkPUyOuWZ2AE1nte0V7rwzowzyjUik5aaj903gC7Eta7ZRe5ELbNtXvMR+g80+KJOowV14nMt48UyXzdBEj1+rCGiIwKREx2jmvtBkxc12Wb7+UTet9ZjeE63mf8mcPgOr4xx7ZjPcHKQ9YqzciAkUbLhIYV/RWLKimGO/Ka/jZ/uh3XZxdISDY5P5sW9XsyfIlYWzcb1gZ/qeOZfcaqKHyG49wGNHo95ycbu+qKUQIAdy8LEUKwYMFiCy+EYMGCxbarfAht7SPRqdP/Wja6NFzKjVv4NvwLDYuKI5qQY488gRwixn9wN9mn/8xkC5NsDF092Wf7LXYlJpNcPilFleCVA8DmsxfBSWURUBMnPvETQ1oPOuq+hLLqhKJx1ge1dOrBL0yyxUq92N3j0FcP4tw9GgNmLmKeXJKKfQ1MQHIuPDafCTP2HjRAhi437kpk4CYgkIxLmuwj+o/ec25Ob+t1LR/V+0eAkhdY6fpY4+2Fx3Sbjps4vmNVImiJpLuVDhDODrglH3D8DImZiGxw6shx5+GBuwRa3FyyvMhxMOEnOEzkFtTFISRd39e/zYs6f0vHrUem55LOweoYzokeC08CTOGgWMINy5S8Y3sa+PFtERHJPa8ouJZ5PVel3bbJHSaZMNbauLw7L9o2fe8CBLcZyaXX/4sUslOBDyFYsGAPbrss9pqSmecbpeO6voK995/8urrZ+rUkZ6AX6Oh7UzN8lVHlOywMUT5sZ0ckvUhhJJmIFDG5MAKk1vZoeaf3ggM4ndJj353oq3Xw3/w+lKkwixWAlkb/EmWiO3ZOCr5MflUHkgY4ihJcIpa8awSMdfprerz0J5a863sf302q25n6qibP0vN2LiaaCNdmZODZmWaehUQakndk1/HJJ0Ya7J4kkKcph1KuI9HOjzRim2SyyydNGQ3FsOYFne/GnKc7BxfE3qSQr++sJJ8Gy3wdN8EadMi8NQFf7FxkEq4x6xN8BC0BLo2EH5OfZJUSEek7pxey+LhedLFfz1Xv2LbYUcsOxtryzuibc1BCBMXoqPOGTVTxUSWioITAwsm7NPlEZPRHmo2c+ifaxcnE48gvbJvlh3QgDfno1yfUEixYsH84tqs5hJa+0ejQ73w39jgejsoSC8EuOQBdvJwW5bVZAuq6Akn0QVtfktmGgqlswNlw+QHy0N3+OnjoFulx7Fxct7N/nUAZ9vSLiKyjhMW8BYVfyATEHnUR8x7kvGNOo87BbSk1XtivHrT9GuTFXWMKt2HkwjKYzw8wd8AxM0fi8xU8Dr3ZZjoJCNIP+oelzs0Y0MW1qW2antcP5Bpc24sIy0UcPBf3a5vSwTO6ELF1N0uCzOU0T9tCvIgGnjtf0XEMvqlz6TksOAcbeB5a7+zMPzHPwfU3BVQpk8ZmJRGRpRO6EXNB5GNsyBp/RPZhNNS1sxRIOL55f0ZAyw/pDWDUFjdPicjg32iYW9jTkhgzS9UiViJn3omlWx9JZQGv7rwWyYev/LEUl0MOIViwYJ/BdjWHULsRSefNapxF9+24rfAWOUiZN+ENuPywuSxCVdnkxLciW0hFLPfQ86G63rkndM3uGWnIetQEPsMONJy0XV+Lt5n4ljaotE0k4b+UDxMx70MoLxtUmgCqYoZbxEUP/d4FGwBLxNp6M5fRNAU4q5dXWzqunqXvPfVM0y/ofA2eMS9URhWH3mODrEXOP8ReHh6cHtTLkpNbkB6dbEHMmntvRMHUqAZcjbmdni+GXd+lTXG3bL03ZtM3Og2UE+ci0IxWAPdjk8sPEBKeWuRO+sezM7ECQmg2G8/6/5966MmvGTCp5wLb8/WcuS7dtmPCRRx4HuKIChUTCsWKGPCOc9GGNu/NFnsuVg5pniJzRcPc7DG99qblnc9K73lF163t00nMHbH7N3AGz01Nkt/zXhYihGDBgsUWXgjBggWLbZdJVlOy0VEb460Xn3VZqQgdguz9R4TTsGrvLIJTtuvZKajfD7zjjoOQbOYZXSownPdKviwHMWQk/n796c54G4p/UP6sOIDw1hGnsoTVOgNF3x4ArkA37unFm7E8iZOcXUzi2fFq0CPPBB/Lsux1FzEmJ0rfMXm6cNL1FaBTs2lFx968pMsJ3zNASbo6XN/qAT3HlivP0ojFry8gJAZAbPGkW16A+JZhO5cBPoxvXtJ7y85TKnV78BLFXDomwJjVyA5Xn1y+Sz06n+RHEBFpmYO6NsqXLD97STM+B6R1z1wDN0Ra56J9wnWr4rFkcpoEv1szbtmLpHTcp4Ljrx20c1LmjQnawhDurVvOUZatuEdPwkTv2ojvV0GSNA2q/jT5GWzMS4/osZuyUQJQdy8LEUKwYMFi29UIYbtOwS58o3dcMs9Xs0mQiA6JIprbtokMv6odjMUDmuxhgs9DTFf2k3MQsNiOJNuPiLHmEDZaGE4KnooYgxPFWzgOzyNIubJiv/5Iz0Cv7T1Ww6p6vJkvaYKJ8OZSj725Y0k40G5nPqLQqRNquZikeKfH67rq++B1m7knWerEHDiGIwKIKm0AxgCkxQ5JPx/1hbsFZNRldV82b9R5SRFOhUMaZeUBOV474ObgXTI46ViXHkFpeTHeJC4zkzuSc0JOShHr+Z9+AbDySRzXwbcruA56dkYsnmqfxhIsxWi36/HXJb3Xh9g5iDGAAWvya47+fln/3X4DkSfKmj0XbVypLSYcdQ7bpsiq5Euv+hvnm5FHQ97GQ9h97nCSp8EncVma3sikEv9H7mUhQggWLFhsu8upGKlHW9tPEUpDrbAZZemkvilbZvGmM6V3WT2m3oeSYsNv6o/VDgsjCJVdOg7mYjD4+LUjgR5llJkIZfZr/oXT+l3XpaRcHFmBRYz7cBVinlzrsb8+PefLhXpde36mJa1qu77ZfX6A61zKkFc6yD1o46rHfHAOKHpDfgQRkYXHsXZE2ZCRQdsdm+/mBZ2oW/9YXSfLhV6efvRn2mS/9JhGZCynCpieyQYsIrI+BlEQcFaQKalhzXxO20d6vMWnFHrec3EnH0IZUOPuD/XYKUSO6/3mQWsqgJGXk0ApD89l5FNpg5edpGe2bSgPx4ixOKyfR1/VEG/yG1bqHHwb0Vq3nqSIprC2my7CQwPc7D8CX2YOPJytNgfkLaBsH3McXjiXbE8liA6tHsD/l4/s/sUNXYD6c5/CkJPXQ9S4fKw+zsndz0KEECxYsNh2N0Ko0Qw614C1ZXvjrRxUD9CO7D7hwDVuHc51PeG+a/s1Je6FQAkXbbudPPW265VhhECPx/VYTZ2dK/NBMjJgRpyt0yLGvkOpLjbJZC6uiIjIxoAlLrjGm3tK3T2jCd/aTAYnNiXRc9JziYhs19UmtiVMdtvhnUbe0B/noLlAANHaPtto6YRGBvt+rGHR0iM7AVyzL4DBGoHAdlHPxUpAuceiG7bobiCqYXtw/lErW2Qf08iAIK/6gv5dOmbblLVXJ86WLx/T56LZ8VOS5brvfRwnr/O/8JhFETGUd50VFzB2O+n50deTUuox6xCiN34WEdkEjJlVJ963urLdG675u9/R8ZGxe9tn+DGu7BG0LwN+3zxnGPZlQKCZT+G5V/bb2Jkb6X9HkxrrQ3o/+87bcQgJ73t/QybXHyxECBFCsGDBYgsvhGDBgsW2q0uGulIkPZfLMcY/5bJALQCtUDyFIXbKl8qQQCH9Oq3SZsdpAo588SQ7zkBY6RSUeVoy7nRep2yYvR+LADIxYdh5HTFaysZD4A+5BBhaMzT2EmU8J4VoWIb08nEsozIhRhajPT+3bOfiSQ2v2QG5Dm4AhqsiIqtYSqUhf7beu1PIpAedffVzGhe3d2qYm3KYd0rREZTFcmHNJslSLYwnMehWrNrM8q+jaj+IJO5GLa4Ty4usI9LFXHI5woRqy4KNnXPJsloR4J5uV3olWSw7Ydd79G/XFbs+SgGST6Pzmh6QJUC/DGMJklJwhREu3dzxcA8IxmICMnIrhu4LupycxnJs6wb4EQbcsgnlygrK2OxsbHJ9L1yexuVxLOM8JwTL+zPPN0r1SgAmBQsW7DPaLgOTUrLe1xDDLD0NO7NsWy36Vhv+mXpFQldFRDbQYVYEhJneqPe89crPP6GJvP6zSQAPvaSICclOv6TfjbzOLjXzMM0oHaaqSCpCVs0Lj7BzsftSspS42cqMobmYUi9KSEjspWd3shh13NLzF8CnsIok0rJLug2/qfMyf0o9QQ34ECg+KuJk7EA93/2hJvjYzScikn2oFtsMiIjIwJkCzmWJUHooJhrvvKzXd/BPZvWa9nfL3ZaeowgtIrVHLZtLCvuGta3EeLwAa/cHuv8c5Og6rkWYi52cmJXWpD/jvIlYGY/wYZajPYSdcz/8Cw2dZp/VeWZk4LkvSD1fRQPkwDtISI5bIjMu82IK2e2YdkK1W2mdj86P9Dd2l3L+RUS2kVSMgWGIQmafNy8/9CZAdaPNieti566IRbl1pWRp914WIoRgwYLFtquMSalUalFEiiKytGsn/fVYj3yxxvxFG69IGPPfte2Noqj3fhvt6gtBRCSVSr0bRdGpXT3p39K+aGP+oo1XJIz582JhyRAsWLDYwgshWLBgsf19vBC+//dwzr+tfdHG/EUbr0gY8+fCdj2HECxYsM+vhSVDsGDBYgsvhGDBgsUWXgjBggWLLbwQggULFlt4IQQLFiy2/w9fNZlICEiRegAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 711 ms\n"
     ]
    }
   ],
   "source": [
    "%%time \n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from sklearn.feature_extraction import image\n",
    "\n",
    "###############################################################################\n",
    "# create the image using default parameters\n",
    "l = 100\n",
    "x, y = np.indices((l, l))\n",
    "\n",
    "center1 = (28, 24)\n",
    "center2 = (40, 50)\n",
    "center3 = (67, 58)\n",
    "center4 = (24, 70)\n",
    "\n",
    "radius1, radius2, radius3, radius4 = 16, 14, 15, 14\n",
    "\n",
    "circle1 = (x - center1[0]) ** 2 + (y - center1[1]) ** 2 < radius1 ** 2\n",
    "circle2 = (x - center2[0]) ** 2 + (y - center2[1]) ** 2 < radius2 ** 2\n",
    "circle3 = (x - center3[0]) ** 2 + (y - center3[1]) ** 2 < radius3 ** 2\n",
    "circle4 = (x - center4[0]) ** 2 + (y - center4[1]) ** 2 < radius4 ** 2\n",
    "\n",
    "noise_power = 0.2\n",
    "\n",
    "###############################################################################\n",
    "# 4 circles\n",
    "img = circle1 + circle2 + circle3 + circle4\n",
    "mask = img.astype(bool) # create a mask (can also not use mask, np.ones(img.shape).astype(bool))\n",
    "img = img.astype(float)\n",
    "\n",
    "img += 1 + noise_power * np.random.randn(*img.shape) # add noise *==pass tuple as parameters separately\n",
    "\n",
    "# Convert the image into a graph with the value of the gradient on the\n",
    "# edges. This is only done on the unmasked part of the image. \n",
    "graph = image.img_to_graph(img, mask=mask) # and tell it where to get rid of the noise\n",
    "\n",
    "# Force the solver to be arpack, since amg is numerically\n",
    "# unstable on this example\n",
    "spc = SpectralClustering(n_clusters=4, affinity = 'precomputed', eigen_solver='arpack')\n",
    "labels = spc.fit_predict(graph) # predict from the setup object\n",
    "label_im = -np.ones(mask.shape) # get the clustering label for each pixel inside the mask. \n",
    "label_im[mask] = labels # set the labels\n",
    "\n",
    "plt.matshow(img)\n",
    "plt.matshow(label_im)\n",
    "\n",
    "###############################################################################\n",
    "# 2 circles\n",
    "img = circle1 + circle2\n",
    "mask = img.astype(bool)\n",
    "img = img.astype(float)\n",
    "\n",
    "img += 1 + noise_power * np.random.randn(*img.shape)\n",
    "\n",
    "graph = image.img_to_graph(img, mask=mask)\n",
    "\n",
    "spc = SpectralClustering(n_clusters=2, affinity = 'precomputed', eigen_solver='arpack')\n",
    "labels = spc.fit_predict(graph)\n",
    "label_im = -np.ones(mask.shape)\n",
    "label_im[mask] = labels\n",
    "\n",
    "plt.matshow(img)\n",
    "plt.matshow(label_im)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1e3bc7bc9b0>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import scipy as sp\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "some_image = sp.misc.ascent() # get a 512x512 image!\n",
    "plt.imshow(some_image,   cmap=plt.cm.gray)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1e3bd349240>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from skimage.filters import sobel_h, sobel_v\n",
    "img = some_image.astype(np.float32)\n",
    "img /= np.max(img)\n",
    "gradient = np.sqrt(sobel_h(img)**2 + sobel_v(img)**2)\n",
    "plt.imshow(gradient, cmap=plt.cm.gray)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 1min\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "from sklearn.feature_extraction import image\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.cluster import SpectralClustering\n",
    "from sklearn.feature_extraction import image\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "some_image = sp.misc.ascent() # get the lena image!\n",
    "# Downsample the image by a factor of 4\n",
    "some_image = some_image[::2, ::2] + some_image[1::2, ::2] + some_image[::2, 1::2] + some_image[1::2, 1::2]\n",
    "some_image = some_image[::2, ::2] + some_image[1::2, ::2] + some_image[::2, 1::2] + some_image[1::2, 1::2]\n",
    "\n",
    "# Convert the image into a graph with the value of the gradient on the\n",
    "# edges.\n",
    "graph = image.img_to_graph(some_image)\n",
    "\n",
    "# Take a decreasing function of the gradient: an exponential\n",
    "# The smaller beta is, the more independent the segmentation is of the\n",
    "# actual image. For beta=1, the segmentation is close to a voronoi\n",
    "beta = 5\n",
    "eps = 1e-6\n",
    "graph.data = np.exp(-beta * graph.data / some_image.std()) + eps\n",
    "# similar to the distance mapping from above \n",
    "\n",
    "# Apply spectral clustering (this step goes much faster if you have pyamg\n",
    "# installed)\n",
    "N_REGIONS = 11\n",
    "\n",
    "###############################################################################\n",
    "# Visualize the resulting regions\n",
    "for assign_labels in ('kmeans', 'discretize'):\n",
    "    spc = SpectralClustering(n_clusters=N_REGIONS, \n",
    "                             affinity = 'precomputed', \n",
    "                             eigen_solver='arpack',\n",
    "                             assign_labels=assign_labels)\n",
    "    labels = spc.fit_predict(graph)\n",
    "    labels = labels.reshape(some_image.shape)\n",
    "\n",
    "    plt.figure(figsize=(5, 5))\n",
    "    plt.imshow(some_image,   cmap=plt.cm.gray)\n",
    "    plt.imshow(labels)\n",
    "    \n",
    "    plt.xticks(())\n",
    "    plt.yticks(())\n",
    "    plt.title('Spectral clustering: %s' % (assign_labels))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x1e3bd3ae518>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(some_image, cmap=plt.cm.gray)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# -------------------------------------------------------------------------------------------\n",
    "# ALL Code Below Must be run Using the Python 2 Kernel!!!\n",
    "# -------------------------------------------------------------------------------------------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "___\n",
    "# What if we have a lot of data?\n",
    "Graphlab create to the rescue, but only for kmeans clustering using kmeans++. \n",
    "https://dato.com/products/create/docs/index.html\n",
    "\n",
    "Graphlab Create only works on python 2.7, so at this point, I need to switch the kernel in the notebook to glenv. Then reload the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# getting things started\n",
    "%matplotlib inline\n",
    "\n",
    "import time\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# generate some sample data\n",
    "n_samples = 1500\n",
    "np.random.seed(0)\n",
    "\n",
    "X1 = np.array([[1.0,1], [1,2], [2,1], [2,2], [3,1], [3,2], [4,1], [4,2], [5,1], [5,2]]) # cluster prototypes\n",
    "X1 = np.repeat(X1, 150, axis=0)\n",
    "X1 += .2 * np.random.randn(X1.shape[0],2) # add some randomness\n",
    "\n",
    "plt.figure(figsize=(15,5))\n",
    "plt.subplot(1,2,1)\n",
    "plt.scatter(X1[:, 0], X1[:, 1])\n",
    "plt.grid()\n",
    "plt.subplot(1,2,2)\n",
    "plt.plot(X1[:, 0], X1[:, 1], 'r.', markersize=2) #plot the data\n",
    "plt.grid()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "By running this function, you agree to the following licenses.\n",
      "\n",
      "* libstdc++: https://gcc.gnu.org/onlinedocs/libstdc++/manual/license.html\n",
      "* xz: http://git.tukaani.org/?p=xz.git;a=blob;f=COPYING\n",
      "    \n",
      "Downloading xz.\n",
      "Extracting xz.\n",
      "Downloading gcc-libs.\n",
      "Extracting gcc-libs.\n",
      "Copying gcc-libs into the installation directory.\n"
     ]
    }
   ],
   "source": [
    "import graphlab as gl\n",
    "gl.get_dependencies()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# A tast of using graphlab with k-means clustering\n",
    "# note that SFrames are powerful datatypes that are dynamic to the environment\n",
    "# they also basically work like pandas and scikit-learn\n",
    "import graphlab as gl\n",
    "from IPython.display import display\n",
    "from IPython.display import Image\n",
    "\n",
    "gl.canvas.set_target('ipynb')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This non-commercial license of GraphLab Create for academic use is assigned to jdrew@smu.edu and will expire on August 09, 2020.\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[INFO] graphlab.cython.cy_server: GraphLab Create v2.1 started. Logging: C:\\Users\\Jake\\AppData\\Local\\Temp\\graphlab_server_1565414946.log.0\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+----------------+----------------+\n",
      "|       0        |       1        |\n",
      "+----------------+----------------+\n",
      "| 1.35281046919  | 1.08003144167  |\n",
      "| 1.19574759682  | 1.44817863984  |\n",
      "| 1.37351159803  | 0.804544424025 |\n",
      "| 1.19001768351  | 0.96972855834  |\n",
      "| 0.979356229641 | 1.08211970039  |\n",
      "| 1.02880871423  | 1.29085470139  |\n",
      "| 1.15220754503  |  1.0243350033  |\n",
      "| 1.08877264655  | 1.06673486547  |\n",
      "| 1.29881581463  | 0.958968347247 |\n",
      "| 1.06261354033  | 0.82918085214  |\n",
      "+----------------+----------------+\n",
      "[1500 rows x 2 columns]\n",
      "Note: Only the head of the SFrame is printed.\n",
      "You can use print_rows(num_rows=m, num_columns=n) to print more rows and columns.\n"
     ]
    },
    {
     "data": {
      "application/javascript": [
       "$(\"head\").append($(\"<link/>\").attr({\n",
       "  rel:  \"stylesheet\",\n",
       "  type: \"text/css\",\n",
       "  href: \"//cdnjs.cloudflare.com/ajax/libs/font-awesome/4.1.0/css/font-awesome.min.css\"\n",
       "}));\n",
       "$(\"head\").append($(\"<link/>\").attr({\n",
       "  rel:  \"stylesheet\",\n",
       "  type: \"text/css\",\n",
       "  href: \"https://static.turi.com/products/graphlab-create/2.1/canvas/css/canvas.css\"\n",
       "}));\n",
       "\n",
       "            (function(){\n",
       "\n",
       "                var e = null;\n",
       "                if (typeof element == 'undefined') {\n",
       "                    var scripts = document.getElementsByTagName('script');\n",
       "                    var thisScriptTag = scripts[scripts.length-1];\n",
       "                    var parentDiv = thisScriptTag.parentNode;\n",
       "                    e = document.createElement('div');\n",
       "                    parentDiv.appendChild(e);\n",
       "                } else {\n",
       "                    e = element[0];\n",
       "                }\n",
       "\n",
       "                if (typeof requirejs !== 'undefined') {\n",
       "                    // disable load timeout; ipython_app.js is large and can take a while to load.\n",
       "                    requirejs.config({waitSeconds: 0});\n",
       "                }\n",
       "\n",
       "                require(['https://static.turi.com/products/graphlab-create/2.1/canvas/js/ipython_app.js'], function(IPythonApp){\n",
       "                    var app = new IPythonApp();\n",
       "                    app.attachView('sframe','Summary', {\"ipython\": true, \"sketch\": {\"1\": {\"std\": 0.5385546129550992, \"complete\": true, \"min\": 0.43308909894505954, \"max\": 2.5518710228043164, \"quantile\": [0.43308909894505954, 0.603886881786212, 0.6668087846404562, 0.6902407725994668, 0.7166793035148719, 0.7405240688086521, 0.7623151156833962, 0.7813876982538989, 0.7994662825260418, 0.8110259605223978, 0.8279742247415077, 0.839229919193696, 0.8539285808884081, 0.8652671657381721, 0.878341769983701, 0.8921734726494019, 0.9040753969852386, 0.915734482535064, 0.9241704874240154, 0.9347363075683364, 0.9433204451087496, 0.9566934256300343, 0.964936719534596, 0.974686133672122, 0.9877010471430228, 0.995626018242184, 1.0045919511215904, 1.0141548151801303, 1.0234181744310884, 1.0347423705974046, 1.0504993254153745, 1.06338852238497, 1.0740111775695038, 1.0803978726889403, 1.0865675242999988, 1.0958190448196456, 1.104325045448068, 1.1174518758799652, 1.1290110546919754, 1.1426032459421875, 1.1558102440265983, 1.1734814822709836, 1.1844413343133053, 1.2012214134195094, 1.2189276749424183, 1.2479881099654722, 1.2764363776786278, 1.3085592676586104, 1.3473549913953422, 1.3919124010411537, 1.4688761814050135, 1.6306936036670654, 1.6767051622697935, 1.7124417052396843, 1.7382472971522784, 1.7630626819176896, 1.7768206028079212, 1.7947985496748435, 1.8055364163946965, 1.8185399756949345, 1.828584362265767, 1.840081300065902, 1.8580544068306224, 1.874288483951082, 1.8866793950724592, 1.897791907283978, 1.9078560425222892, 1.9198027684207197, 1.9316035444631896, 1.9402480798860129, 1.9533066676912614, 1.9602569876658402, 1.9694411073195828, 1.9769785063025547, 1.98442904881183, 1.9929406520794168, 2.0032676168225785, 2.018165185407265, 2.028333432974306, 2.035758573146636, 2.0436794146259873, 2.054883399056402, 2.0670211240392, 2.077456095079013, 2.089536643148531, 2.100868715032599, 2.110626412841517, 2.119442500880685, 2.1327930151052445, 2.1535804815465407, 2.1688908613209175, 2.1796481244807233, 2.2020855106251016, 2.213185363743378, 2.2323067607118237, 2.2596043944652444, 2.2824303396597263, 2.303652234071141, 2.3363153432534656, 2.392176162502782, 2.5518710228043164], \"median\": 1.4688761814050135, \"numeric\": true, \"num_unique\": 1505, \"num_undefined\": 0, \"var\": 0.29004107113521677, \"progress\": 1.0, \"size\": 1500, \"frequent_items\": {\"1.3907713890400146\": {\"frequency\": 1, \"value\": 1.3907713890400146}, \"1.0126523988400664\": {\"frequency\": 1, \"value\": 1.0126523988400664}, \"1.1801652973908374\": {\"frequency\": 1, \"value\": 1.1801652973908374}, \"1.0045919511215904\": {\"frequency\": 1, \"value\": 1.0045919511215904}, \"0.8226771479887776\": {\"frequency\": 1, \"value\": 0.8226771479887776}, \"1.0281343806615921\": {\"frequency\": 1, \"value\": 1.0281343806615921}, \"1.2924428341560839\": {\"frequency\": 1, \"value\": 1.2924428341560839}, \"2.0614529561011183\": {\"frequency\": 1, \"value\": 2.0614529561011183}, \"2.188652144993899\": {\"frequency\": 1, \"value\": 2.188652144993899}, \"0.9715109164981262\": {\"frequency\": 1, \"value\": 0.9715109164981262}, \"1.4881630667311807\": {\"frequency\": 1, \"value\": 1.4881630667311807}, \"1.0603028114793531\": {\"frequency\": 1, \"value\": 1.0603028114793531}, \"0.561263329661068\": {\"frequency\": 1, \"value\": 0.561263329661068}, \"1.7134529020131783\": {\"frequency\": 1, \"value\": 1.7134529020131783}, \"2.0436794146259873\": {\"frequency\": 1, \"value\": 2.0436794146259873}, \"1.1540661758654425\": {\"frequency\": 1, \"value\": 1.1540661758654425}, \"1.7140017482629104\": {\"frequency\": 1, \"value\": 1.7140017482629104}, \"1.9316035444631896\": {\"frequency\": 1, \"value\": 1.9316035444631896}, \"0.9655082806637086\": {\"frequency\": 1, \"value\": 0.9655082806637086}, \"1.9058724683690418\": {\"frequency\": 1, \"value\": 1.9058724683690418}, \"1.1413146336383897\": {\"frequency\": 1, \"value\": 1.1413146336383897}, \"1.0422994025463757\": {\"frequency\": 1, \"value\": 1.0422994025463757}, \"0.7571197234081481\": {\"frequency\": 1, \"value\": 0.7571197234081481}, \"2.0469954385778104\": {\"frequency\": 1, \"value\": 2.0469954385778104}, \"1.0765196273446926\": {\"frequency\": 1, \"value\": 1.0765196273446926}, \"1.9196858648974169\": {\"frequency\": 1, \"value\": 1.9196858648974169}, \"2.1078322548228394\": {\"frequency\": 1, \"value\": 2.1078322548228394}, \"1.8533374384832668\": {\"frequency\": 1, \"value\": 1.8533374384832668}, \"1.8936788183977091\": {\"frequency\": 1, \"value\": 1.8936788183977091}, \"2.1388257416275773\": {\"frequency\": 1, \"value\": 2.1388257416275773}, \"2.259468417818578\": {\"frequency\": 1, \"value\": 2.259468417818578}, \"1.3894197285640715\": {\"frequency\": 1, \"value\": 1.3894197285640715}, \"2.024744382846701\": {\"frequency\": 1, \"value\": 2.024744382846701}, \"1.0961939700069248\": {\"frequency\": 1, \"value\": 1.0961939700069248}, \"1.8400427723228459\": {\"frequency\": 1, \"value\": 1.8400427723228459}, \"1.2637102036181673\": {\"frequency\": 1, \"value\": 1.2637102036181673}, \"0.6927512627445552\": {\"frequency\": 1, \"value\": 0.6927512627445552}, \"2.2819904276792293\": {\"frequency\": 1, \"value\": 2.2819904276792293}, \"1.0806529080326495\": {\"frequency\": 1, \"value\": 1.0806529080326495}, \"1.0466916159324635\": {\"frequency\": 1, \"value\": 1.0466916159324635}, \"2.0836796022618387\": {\"frequency\": 1, \"value\": 2.0836796022618387}, \"1.000514236486302\": {\"frequency\": 1, \"value\": 1.000514236486302}, \"1.095561712523294\": {\"frequency\": 1, \"value\": 1.095561712523294}, \"1.9882547613262123\": {\"frequency\": 1, \"value\": 1.9882547613262123}, \"2.009413218931699\": {\"frequency\": 1, \"value\": 2.009413218931699}, \"1.897219409944017\": {\"frequency\": 1, \"value\": 1.897219409944017}, \"1.9828770091539005\": {\"frequency\": 1, \"value\": 1.9828770091539005}, \"0.8980313515723042\": {\"frequency\": 1, \"value\": 0.8980313515723042}, \"1.1844413343133053\": {\"frequency\": 1, \"value\": 1.1844413343133053}, \"0.8820840154909568\": {\"frequency\": 1, \"value\": 0.8820840154909568}, \"1.9850390034639318\": {\"frequency\": 1, \"value\": 1.9850390034639318}, \"0.8904963798641137\": {\"frequency\": 1, \"value\": 0.8904963798641137}, \"1.7954986312728793\": {\"frequency\": 1, \"value\": 1.7954986312728793}, \"1.0445716646206973\": {\"frequency\": 1, \"value\": 1.0445716646206973}, \"1.1009939962925681\": {\"frequency\": 1, \"value\": 1.1009939962925681}, \"1.897791907283978\": {\"frequency\": 1, \"value\": 1.897791907283978}, \"1.920370374249985\": {\"frequency\": 1, \"value\": 1.920370374249985}, \"1.097594536532601\": {\"frequency\": 1, \"value\": 1.097594536532601}, \"2.2942643912284675\": {\"frequency\": 1, \"value\": 2.2942643912284675}, \"2.282465541207489\": {\"frequency\": 1, \"value\": 2.282465541207489}, \"1.0345008832985731\": {\"frequency\": 1, \"value\": 1.0345008832985731}, \"0.8237105867063073\": {\"frequency\": 1, \"value\": 0.8237105867063073}, \"2.135676019768094\": {\"frequency\": 1, \"value\": 2.135676019768094}, \"2.020281429333642\": {\"frequency\": 1, \"value\": 2.020281429333642}, \"1.4688761814050135\": {\"frequency\": 1, \"value\": 1.4688761814050135}, \"2.055819152878491\": {\"frequency\": 1, \"value\": 2.055819152878491}, \"2.222984911898056\": {\"frequency\": 1, \"value\": 2.222984911898056}, \"2.065660259000151\": {\"frequency\": 1, \"value\": 2.065660259000151}, \"0.6795884688786504\": {\"frequency\": 1, \"value\": 0.6795884688786504}, \"0.9123851396777627\": {\"frequency\": 1, \"value\": 0.9123851396777627}, \"1.9365075565679857\": {\"frequency\": 1, \"value\": 1.9365075565679857}, \"2.114522670608158\": {\"frequency\": 1, \"value\": 2.114522670608158}, \"1.738117570733797\": {\"frequency\": 1, \"value\": 1.738117570733797}, \"1.9931515438936092\": {\"frequency\": 1, \"value\": 1.9931515438936092}, \"1.7681158967200175\": {\"frequency\": 1, \"value\": 1.7681158967200175}, \"2.000754177817254\": {\"frequency\": 1, \"value\": 2.000754177817254}, \"2.055616209593589\": {\"frequency\": 1, \"value\": 2.055616209593589}, \"2.0699308913986347\": {\"frequency\": 1, \"value\": 2.0699308913986347}, \"2.247601387191688\": {\"frequency\": 1, \"value\": 2.247601387191688}, \"1.2961029582868848\": {\"frequency\": 1, \"value\": 1.2961029582868848}, \"1.054222559289343\": {\"frequency\": 1, \"value\": 1.054222559289343}, \"1.9537796784814008\": {\"frequency\": 1, \"value\": 1.9537796784814008}, \"1.1167139853818608\": {\"frequency\": 1, \"value\": 1.1167139853818608}, \"1.8888029936242066\": {\"frequency\": 1, \"value\": 1.8888029936242066}, \"1.7763376151356736\": {\"frequency\": 1, \"value\": 1.7763376151356736}, \"1.0718498313026912\": {\"frequency\": 1, \"value\": 1.0718498313026912}, \"1.1080188921049612\": {\"frequency\": 1, \"value\": 1.1080188921049612}, \"0.9559848440359289\": {\"frequency\": 1, \"value\": 0.9559848440359289}, \"1.2181499468869\": {\"frequency\": 1, \"value\": 1.2181499468869}, \"0.7405240688086521\": {\"frequency\": 1, \"value\": 0.7405240688086521}, \"1.0637455305886043\": {\"frequency\": 1, \"value\": 1.0637455305886043}, \"0.8812959365304949\": {\"frequency\": 1, \"value\": 0.8812959365304949}, \"2.2266159759119444\": {\"frequency\": 1, \"value\": 2.2266159759119444}, \"0.8275013400550533\": {\"frequency\": 1, \"value\": 0.8275013400550533}, \"2.144873700973993\": {\"frequency\": 1, \"value\": 2.144873700973993}, \"2.1705103878922465\": {\"frequency\": 1, \"value\": 2.1705103878922465}, \"1.3363843480146276\": {\"frequency\": 1, \"value\": 1.3363843480146276}, \"1.930011327082179\": {\"frequency\": 1, \"value\": 1.930011327082179}, \"1.0110984450887606\": {\"frequency\": 1, \"value\": 1.0110984450887606}, \"0.9259515118591314\": {\"frequency\": 1, \"value\": 0.9259515118591314}, \"0.751956732718446\": {\"frequency\": 1, \"value\": 0.751956732718446}, \"0.8903825625054929\": {\"frequency\": 1, \"value\": 0.8903825625054929}, \"1.8643809078427507\": {\"frequency\": 1, \"value\": 1.8643809078427507}, \"2.0973874609879863\": {\"frequency\": 1, \"value\": 2.0973874609879863}, \"1.928994253788925\": {\"frequency\": 1, \"value\": 1.928994253788925}, \"2.2852317504038533\": {\"frequency\": 1, \"value\": 2.2852317504038533}, \"0.8608329761300906\": {\"frequency\": 1, \"value\": 0.8608329761300906}, \"1.0672031485323985\": {\"frequency\": 1, \"value\": 1.0672031485323985}, \"2.054745889904945\": {\"frequency\": 1, \"value\": 2.054745889904945}, \"2.09465811898296\": {\"frequency\": 1, \"value\": 2.09465811898296}, \"0.6778243193100133\": {\"frequency\": 1, \"value\": 0.6778243193100133}, \"0.8081489214718823\": {\"frequency\": 1, \"value\": 0.8081489214718823}, \"1.1091314646940056\": {\"frequency\": 1, \"value\": 1.1091314646940056}, \"1.0692988884013521\": {\"frequency\": 1, \"value\": 1.0692988884013521}, \"1.3341886065577715\": {\"frequency\": 1, \"value\": 1.3341886065577715}, \"2.229875876673425\": {\"frequency\": 1, \"value\": 2.229875876673425}, \"2.3412936494521976\": {\"frequency\": 1, \"value\": 2.3412936494521976}, \"1.0042702447687097\": {\"frequency\": 1, \"value\": 1.0042702447687097}, \"2.2838510091821904\": {\"frequency\": 1, \"value\": 2.2838510091821904}, \"1.2399472352830077\": {\"frequency\": 1, \"value\": 1.2399472352830077}, \"1.3571740987811671\": {\"frequency\": 1, \"value\": 1.3571740987811671}, \"1.990703768793422\": {\"frequency\": 1, \"value\": 1.990703768793422}, \"0.6411541457020558\": {\"frequency\": 1, \"value\": 0.6411541457020558}, \"1.3698527456958685\": {\"frequency\": 1, \"value\": 1.3698527456958685}, \"0.8737248023101223\": {\"frequency\": 1, \"value\": 0.8737248023101223}, \"2.030023045401226\": {\"frequency\": 1, \"value\": 2.030023045401226}, \"0.9308036448601227\": {\"frequency\": 1, \"value\": 0.9308036448601227}, \"1.0112330684459492\": {\"frequency\": 1, \"value\": 1.0112330684459492}, \"2.1176075497479627\": {\"frequency\": 1, \"value\": 2.1176075497479627}, \"1.7903659186349055\": {\"frequency\": 1, \"value\": 1.7903659186349055}, \"0.833608501356575\": {\"frequency\": 1, \"value\": 0.833608501356575}, \"0.8792759127961819\": {\"frequency\": 1, \"value\": 0.8792759127961819}, \"1.8580544068306224\": {\"frequency\": 1, \"value\": 1.8580544068306224}, \"2.028412361037447\": {\"frequency\": 1, \"value\": 2.028412361037447}, \"1.9936177848731718\": {\"frequency\": 1, \"value\": 1.9936177848731718}, \"2.0998168551343532\": {\"frequency\": 1, \"value\": 2.0998168551343532}, \"0.6866010578276796\": {\"frequency\": 1, \"value\": 0.6866010578276796}, \"0.5978435462828244\": {\"frequency\": 1, \"value\": 0.5978435462828244}, \"1.2248838369020736\": {\"frequency\": 1, \"value\": 1.2248838369020736}, \"1.7253892927916143\": {\"frequency\": 1, \"value\": 1.7253892927916143}, \"2.0368362529407094\": {\"frequency\": 1, \"value\": 2.0368362529407094}, \"1.2403395711335012\": {\"frequency\": 1, \"value\": 1.2403395711335012}, \"2.0992001892687924\": {\"frequency\": 1, \"value\": 2.0992001892687924}, \"1.0617502483673227\": {\"frequency\": 1, \"value\": 1.0617502483673227}, \"0.9235982088844359\": {\"frequency\": 1, \"value\": 0.9235982088844359}, \"0.8202115687068928\": {\"frequency\": 1, \"value\": 0.8202115687068928}, \"1.1226652452657402\": {\"frequency\": 1, \"value\": 1.1226652452657402}, \"1.1812089316550771\": {\"frequency\": 1, \"value\": 1.1812089316550771}, \"1.3405140304483583\": {\"frequency\": 1, \"value\": 1.3405140304483583}, \"1.0740111775695038\": {\"frequency\": 1, \"value\": 1.0740111775695038}, \"0.9775068034880895\": {\"frequency\": 1, \"value\": 0.9775068034880895}, \"1.0329287619052796\": {\"frequency\": 1, \"value\": 1.0329287619052796}, \"1.8228067035918094\": {\"frequency\": 1, \"value\": 1.8228067035918094}, \"1.9207629110500366\": {\"frequency\": 1, \"value\": 1.9207629110500366}, \"1.0141548151801303\": {\"frequency\": 1, \"value\": 1.0141548151801303}, \"1.8321751618801452\": {\"frequency\": 1, \"value\": 1.8321751618801452}, \"1.0385507698130432\": {\"frequency\": 1, \"value\": 1.0385507698130432}, \"1.636384473923286\": {\"frequency\": 1, \"value\": 1.636384473923286}, \"2.1591099103538816\": {\"frequency\": 1, \"value\": 2.1591099103538816}, \"2.284520949793807\": {\"frequency\": 1, \"value\": 2.284520949793807}, \"1.4023728526253123\": {\"frequency\": 1, \"value\": 1.4023728526253123}, \"1.1943940587731152\": {\"frequency\": 1, \"value\": 1.1943940587731152}, \"1.9013571225779005\": {\"frequency\": 1, \"value\": 1.9013571225779005}, \"0.8985531076210155\": {\"frequency\": 1, \"value\": 0.8985531076210155}, \"1.7243833065871845\": {\"frequency\": 1, \"value\": 1.7243833065871845}, \"1.9799212993197268\": {\"frequency\": 1, \"value\": 1.9799212993197268}, \"1.6899971621283705\": {\"frequency\": 1, \"value\": 1.6899971621283705}, \"0.7638735631755176\": {\"frequency\": 1, \"value\": 0.7638735631755176}, \"1.2108649949808155\": {\"frequency\": 1, \"value\": 1.2108649949808155}, \"1.0829348533218441\": {\"frequency\": 1, \"value\": 1.0829348533218441}, \"0.9390072724291159\": {\"frequency\": 1, \"value\": 0.9390072724291159}, \"1.0845637149353322\": {\"frequency\": 1, \"value\": 1.0845637149353322}, \"1.0065617495227424\": {\"frequency\": 1, \"value\": 1.0065617495227424}, \"1.1980242767758387\": {\"frequency\": 1, \"value\": 1.1980242767758387}, \"1.1571607653662346\": {\"frequency\": 1, \"value\": 1.1571607653662346}, \"1.8240885805377232\": {\"frequency\": 1, \"value\": 1.8240885805377232}, \"0.7719607398130077\": {\"frequency\": 1, \"value\": 0.7719607398130077}, \"1.7722864259369047\": {\"frequency\": 1, \"value\": 1.7722864259369047}, \"0.7530348359292695\": {\"frequency\": 1, \"value\": 0.7530348359292695}, \"1.9573569526256358\": {\"frequency\": 1, \"value\": 1.9573569526256358}, \"1.6642623274342687\": {\"frequency\": 1, \"value\": 1.6642623274342687}, \"1.1953278072967426\": {\"frequency\": 1, \"value\": 1.1953278072967426}, \"1.78024630866654\": {\"frequency\": 1, \"value\": 1.78024630866654}, \"2.1024533453651966\": {\"frequency\": 1, \"value\": 2.1024533453651966}, \"1.7236509981010029\": {\"frequency\": 1, \"value\": 1.7236509981010029}, \"1.0486336430804983\": {\"frequency\": 1, \"value\": 1.0486336430804983}, \"1.8087483155135433\": {\"frequency\": 1, \"value\": 1.8087483155135433}, \"0.6886132134981479\": {\"frequency\": 1, \"value\": 0.6886132134981479}, \"1.8605853855279633\": {\"frequency\": 1, \"value\": 1.8605853855279633}, \"1.0243350032985656\": {\"frequency\": 1, \"value\": 1.0243350032985656}, \"1.8985930460469325\": {\"frequency\": 1, \"value\": 1.8985930460469325}, \"0.6517954383282196\": {\"frequency\": 1, \"value\": 0.6517954383282196}, \"2.252996665971251\": {\"frequency\": 1, \"value\": 2.252996665971251}, \"2.0575830864430555\": {\"frequency\": 1, \"value\": 2.0575830864430555}, \"2.1176449858235875\": {\"frequency\": 1, \"value\": 2.1176449858235875}, \"1.6340519177990938\": {\"frequency\": 1, \"value\": 1.6340519177990938}, \"1.9137171317790629\": {\"frequency\": 1, \"value\": 1.9137171317790629}, \"1.1746546096601407\": {\"frequency\": 1, \"value\": 1.1746546096601407}, \"2.2024266379644617\": {\"frequency\": 1, \"value\": 2.2024266379644617}, \"1.0034958318050113\": {\"frequency\": 1, \"value\": 1.0034958318050113}, \"1.9553147775610609\": {\"frequency\": 1, \"value\": 1.9553147775610609}, \"1.9910809147088286\": {\"frequency\": 1, \"value\": 1.9910809147088286}, \"1.9898792918076669\": {\"frequency\": 1, \"value\": 1.9898792918076669}, \"1.98442904881183\": {\"frequency\": 1, \"value\": 1.98442904881183}, \"1.025796582151482\": {\"frequency\": 1, \"value\": 1.025796582151482}, \"1.7648330024123542\": {\"frequency\": 1, \"value\": 1.7648330024123542}, \"1.6436874288588816\": {\"frequency\": 1, \"value\": 1.6436874288588816}, \"2.2552150692012374\": {\"frequency\": 1, \"value\": 2.2552150692012374}, \"2.036267685843564\": {\"frequency\": 1, \"value\": 2.036267685843564}, \"1.2673055898872785\": {\"frequency\": 1, \"value\": 1.2673055898872785}, \"1.8413765274584657\": {\"frequency\": 1, \"value\": 1.8413765274584657}, \"1.7632238719613365\": {\"frequency\": 1, \"value\": 1.7632238719613365}, \"1.0234181744310884\": {\"frequency\": 1, \"value\": 1.0234181744310884}, \"1.9929406520794168\": {\"frequency\": 1, \"value\": 1.9929406520794168}, \"1.104325045448068\": {\"frequency\": 1, \"value\": 1.104325045448068}, \"1.182129134445994\": {\"frequency\": 1, \"value\": 1.182129134445994}, \"0.9959741792244925\": {\"frequency\": 1, \"value\": 0.9959741792244925}, \"1.7136404443869924\": {\"frequency\": 1, \"value\": 1.7136404443869924}, \"2.1233773108786558\": {\"frequency\": 1, \"value\": 2.1233773108786558}, \"1.390155079046358\": {\"frequency\": 1, \"value\": 1.390155079046358}, \"1.031269793820796\": {\"frequency\": 1, \"value\": 1.031269793820796}, \"2.392176162502782\": {\"frequency\": 1, \"value\": 2.392176162502782}, \"0.9574519439572062\": {\"frequency\": 1, \"value\": 0.9574519439572062}, \"0.7304481877715108\": {\"frequency\": 1, \"value\": 0.7304481877715108}, \"0.5826979942289625\": {\"frequency\": 1, \"value\": 0.5826979942289625}, \"1.0292608892002089\": {\"frequency\": 1, \"value\": 1.0292608892002089}, \"1.8273288837316435\": {\"frequency\": 1, \"value\": 1.8273288837316435}, \"0.8243619314379853\": {\"frequency\": 1, \"value\": 0.8243619314379853}, \"2.4508567397609924\": {\"frequency\": 1, \"value\": 2.4508567397609924}, \"0.8724318887052831\": {\"frequency\": 1, \"value\": 0.8724318887052831}, \"2.2880607282035244\": {\"frequency\": 1, \"value\": 2.2880607282035244}, \"2.166077201068078\": {\"frequency\": 1, \"value\": 2.166077201068078}, \"0.9773176738714532\": {\"frequency\": 1, \"value\": 0.9773176738714532}, \"2.1751018306282766\": {\"frequency\": 1, \"value\": 2.1751018306282766}, \"1.9756110144799446\": {\"frequency\": 1, \"value\": 1.9756110144799446}, \"1.9931049907823204\": {\"frequency\": 1, \"value\": 1.9931049907823204}, \"0.8279742247415077\": {\"frequency\": 1, \"value\": 0.8279742247415077}, \"2.438179602647968\": {\"frequency\": 1, \"value\": 2.438179602647968}, \"0.8986367291402625\": {\"frequency\": 1, \"value\": 0.8986367291402625}, \"1.6844785862921305\": {\"frequency\": 1, \"value\": 1.6844785862921305}, \"2.121792468330905\": {\"frequency\": 1, \"value\": 2.121792468330905}, \"1.8319419209041388\": {\"frequency\": 1, \"value\": 1.8319419209041388}, \"2.3228499094560453\": {\"frequency\": 1, \"value\": 2.3228499094560453}, \"1.0873276949258586\": {\"frequency\": 1, \"value\": 1.0873276949258586}, \"2.15338393393224\": {\"frequency\": 1, \"value\": 2.15338393393224}, \"1.9643086370205474\": {\"frequency\": 1, \"value\": 1.9643086370205474}, \"2.041159360746816\": {\"frequency\": 1, \"value\": 2.041159360746816}, \"1.8013485565124896\": {\"frequency\": 1, \"value\": 1.8013485565124896}, \"2.0670211240392\": {\"frequency\": 1, \"value\": 2.0670211240392}, \"1.9456456867018606\": {\"frequency\": 1, \"value\": 1.9456456867018606}, \"2.0654132418242046\": {\"frequency\": 1, \"value\": 2.0654132418242046}, \"1.2479881099654722\": {\"frequency\": 1, \"value\": 1.2479881099654722}, \"1.7382472971522784\": {\"frequency\": 1, \"value\": 1.7382472971522784}, \"0.7966522702780462\": {\"frequency\": 1, \"value\": 0.7966522702780462}, \"0.9625632299948332\": {\"frequency\": 1, \"value\": 0.9625632299948332}, \"1.8323377688602598\": {\"frequency\": 1, \"value\": 1.8323377688602598}, \"2.051966499000695\": {\"frequency\": 1, \"value\": 2.051966499000695}, \"1.4487203789165282\": {\"frequency\": 1, \"value\": 1.4487203789165282}, \"1.8223623577828973\": {\"frequency\": 1, \"value\": 1.8223623577828973}, \"0.8767757753353042\": {\"frequency\": 1, \"value\": 0.8767757753353042}, \"1.2735194479613428\": {\"frequency\": 1, \"value\": 1.2735194479613428}, \"2.034925915562714\": {\"frequency\": 1, \"value\": 2.034925915562714}, \"1.2012214134195094\": {\"frequency\": 1, \"value\": 1.2012214134195094}, \"2.202750109499652\": {\"frequency\": 1, \"value\": 2.202750109499652}, \"1.801674328324396\": {\"frequency\": 1, \"value\": 1.801674328324396}, \"1.887338128147217\": {\"frequency\": 1, \"value\": 1.887338128147217}, \"0.7229444832465604\": {\"frequency\": 1, \"value\": 0.7229444832465604}, \"1.9734863970692564\": {\"frequency\": 1, \"value\": 1.9734863970692564}, \"0.8999180665391472\": {\"frequency\": 1, \"value\": 0.8999180665391472}, \"1.1111573928165746\": {\"frequency\": 1, \"value\": 1.1111573928165746}, \"0.9709451085590461\": {\"frequency\": 1, \"value\": 0.9709451085590461}, \"1.606275062042796\": {\"frequency\": 1, \"value\": 1.606275062042796}, \"1.0634436430382603\": {\"frequency\": 1, \"value\": 1.0634436430382603}, \"0.8688909941031284\": {\"frequency\": 1, \"value\": 0.8688909941031284}, \"1.4761490702439501\": {\"frequency\": 1, \"value\": 1.4761490702439501}, \"2.0878085915344085\": {\"frequency\": 1, \"value\": 2.0878085915344085}, \"0.6717302782353942\": {\"frequency\": 1, \"value\": 0.6717302782353942}, \"2.1458692692560852\": {\"frequency\": 1, \"value\": 2.1458692692560852}, \"2.309406299398169\": {\"frequency\": 1, \"value\": 2.309406299398169}, \"0.709732300361795\": {\"frequency\": 1, \"value\": 0.709732300361795}, \"1.0347423705974046\": {\"frequency\": 1, \"value\": 1.0347423705974046}, \"1.9044051991919027\": {\"frequency\": 1, \"value\": 1.9044051991919027}, \"1.0653925190808915\": {\"frequency\": 1, \"value\": 1.0653925190808915}, \"0.9040753969852386\": {\"frequency\": 1, \"value\": 0.9040753969852386}, \"1.6785359681531884\": {\"frequency\": 1, \"value\": 1.6785359681531884}, \"1.9271660382168487\": {\"frequency\": 1, \"value\": 1.9271660382168487}, \"1.9078560425222892\": {\"frequency\": 1, \"value\": 1.9078560425222892}, \"1.0667348654748534\": {\"frequency\": 1, \"value\": 1.0667348654748534}, \"2.1984273657037012\": {\"frequency\": 1, \"value\": 2.1984273657037012}, \"2.1062356733071392\": {\"frequency\": 1, \"value\": 2.1062356733071392}, \"1.8631196887719148\": {\"frequency\": 1, \"value\": 1.8631196887719148}, \"0.9922189386672386\": {\"frequency\": 1, \"value\": 0.9922189386672386}, \"0.995626018242184\": {\"frequency\": 1, \"value\": 0.995626018242184}, \"0.7233272089209889\": {\"frequency\": 1, \"value\": 0.7233272089209889}, \"2.204478464488414\": {\"frequency\": 1, \"value\": 2.204478464488414}, \"1.4267736494409076\": {\"frequency\": 1, \"value\": 1.4267736494409076}, \"0.8083251039546877\": {\"frequency\": 1, \"value\": 0.8083251039546877}, \"1.6536537307064147\": {\"frequency\": 1, \"value\": 1.6536537307064147}, \"0.8340070804924076\": {\"frequency\": 1, \"value\": 0.8340070804924076}, \"0.8592281928019107\": {\"frequency\": 1, \"value\": 0.8592281928019107}, \"1.283131245234936\": {\"frequency\": 1, \"value\": 1.283131245234936}, \"1.961431634291207\": {\"frequency\": 1, \"value\": 1.961431634291207}, \"1.9328838712833667\": {\"frequency\": 1, \"value\": 1.9328838712833667}, \"2.082574164089235\": {\"frequency\": 1, \"value\": 2.082574164089235}, \"0.9260397667392394\": {\"frequency\": 1, \"value\": 0.9260397667392394}, \"1.043580677424334\": {\"frequency\": 1, \"value\": 1.043580677424334}, \"0.9655035365786078\": {\"frequency\": 1, \"value\": 0.9655035365786078}, \"2.0194438464005837\": {\"frequency\": 1, \"value\": 2.0194438464005837}, \"1.6306936036670654\": {\"frequency\": 1, \"value\": 1.6306936036670654}, \"1.6854407094903654\": {\"frequency\": 1, \"value\": 1.6854407094903654}, \"1.0038558769026154\": {\"frequency\": 1, \"value\": 1.0038558769026154}, \"1.9613072234419304\": {\"frequency\": 1, \"value\": 1.9613072234419304}, \"1.7790619705588782\": {\"frequency\": 1, \"value\": 1.7790619705588782}, \"1.1565157761683955\": {\"frequency\": 1, \"value\": 1.1565157761683955}, \"1.9393803493151855\": {\"frequency\": 1, \"value\": 1.9393803493151855}, \"1.1924683489628691\": {\"frequency\": 1, \"value\": 1.1924683489628691}, \"1.1198079052752368\": {\"frequency\": 1, \"value\": 1.1198079052752368}, \"1.8070775972532542\": {\"frequency\": 1, \"value\": 1.8070775972532542}, \"0.878341769983701\": {\"frequency\": 1, \"value\": 0.878341769983701}, \"2.1225904736366\": {\"frequency\": 1, \"value\": 2.1225904736366}, \"1.7454883729935367\": {\"frequency\": 1, \"value\": 1.7454883729935367}, \"2.1640495674649363\": {\"frequency\": 1, \"value\": 2.1640495674649363}, \"2.0322212644483355\": {\"frequency\": 1, \"value\": 2.0322212644483355}, \"1.9494578655916786\": {\"frequency\": 1, \"value\": 1.9494578655916786}, \"1.0753753041701786\": {\"frequency\": 1, \"value\": 1.0753753041701786}, \"1.9022867558490748\": {\"frequency\": 1, \"value\": 1.9022867558490748}, \"1.8164031387990769\": {\"frequency\": 1, \"value\": 1.8164031387990769}, \"1.2108903453862274\": {\"frequency\": 1, \"value\": 1.2108903453862274}, \"2.075582020347695\": {\"frequency\": 1, \"value\": 2.075582020347695}, \"1.9607532070112916\": {\"frequency\": 1, \"value\": 1.9607532070112916}, \"1.5285871442029484\": {\"frequency\": 1, \"value\": 1.5285871442029484}, \"1.8825967422989702\": {\"frequency\": 1, \"value\": 1.8825967422989702}, \"0.8652671657381721\": {\"frequency\": 1, \"value\": 0.8652671657381721}, \"1.3791778352061166\": {\"frequency\": 1, \"value\": 1.3791778352061166}, \"1.0194800332537566\": {\"frequency\": 1, \"value\": 1.0194800332537566}, \"1.199423596158352\": {\"frequency\": 1, \"value\": 1.199423596158352}, \"1.9167001835126616\": {\"frequency\": 1, \"value\": 1.9167001835126616}, \"1.904542745919354\": {\"frequency\": 1, \"value\": 1.904542745919354}, \"0.9948402883491025\": {\"frequency\": 1, \"value\": 0.9948402883491025}, \"1.0520265809877536\": {\"frequency\": 1, \"value\": 1.0520265809877536}, \"1.9472125302814625\": {\"frequency\": 1, \"value\": 1.9472125302814625}, \"1.8178299244722695\": {\"frequency\": 1, \"value\": 1.8178299244722695}, \"2.133270908450038\": {\"frequency\": 1, \"value\": 2.133270908450038}, \"2.1062085013956118\": {\"frequency\": 1, \"value\": 2.1062085013956118}, \"1.765767907709984\": {\"frequency\": 1, \"value\": 1.765767907709984}, \"0.6872190730320467\": {\"frequency\": 1, \"value\": 0.6872190730320467}, \"0.5826730041158914\": {\"frequency\": 1, \"value\": 0.5826730041158914}, \"1.1858290295537381\": {\"frequency\": 1, \"value\": 1.1858290295537381}, \"1.9767540599225701\": {\"frequency\": 1, \"value\": 1.9767540599225701}, \"1.4481786398402916\": {\"frequency\": 1, \"value\": 1.4481786398402916}, \"1.8986186770326339\": {\"frequency\": 1, \"value\": 1.8986186770326339}, \"0.7473654175829691\": {\"frequency\": 1, \"value\": 0.7473654175829691}, \"1.9650353256764466\": {\"frequency\": 1, \"value\": 1.9650353256764466}, \"1.294752963027681\": {\"frequency\": 1, \"value\": 1.294752963027681}, \"1.125023731286746\": {\"frequency\": 1, \"value\": 1.125023731286746}, \"2.0517432880459494\": {\"frequency\": 1, \"value\": 2.0517432880459494}, \"0.8953498113230209\": {\"frequency\": 1, \"value\": 0.8953498113230209}, \"1.1462587241680737\": {\"frequency\": 1, \"value\": 1.1462587241680737}, \"1.9482854736646458\": {\"frequency\": 1, \"value\": 1.9482854736646458}, \"1.0464362072400553\": {\"frequency\": 1, \"value\": 1.0464362072400553}, \"0.7840136983273154\": {\"frequency\": 1, \"value\": 0.7840136983273154}, \"1.9072007153338313\": {\"frequency\": 1, \"value\": 1.9072007153338313}, \"0.9063047910640554\": {\"frequency\": 1, \"value\": 0.9063047910640554}, \"1.2563022680728266\": {\"frequency\": 1, \"value\": 1.2563022680728266}, \"0.9318251178861059\": {\"frequency\": 1, \"value\": 0.9318251178861059}, \"1.9780234441381372\": {\"frequency\": 1, \"value\": 1.9780234441381372}, \"0.8737616116506286\": {\"frequency\": 1, \"value\": 0.8737616116506286}, \"1.9615191584408187\": {\"frequency\": 1, \"value\": 1.9615191584408187}, \"1.864334032425206\": {\"frequency\": 1, \"value\": 1.864334032425206}, \"1.0756325039204346\": {\"frequency\": 1, \"value\": 1.0756325039204346}, \"1.8090114484765523\": {\"frequency\": 1, \"value\": 1.8090114484765523}, \"0.9973499464131946\": {\"frequency\": 1, \"value\": 0.9973499464131946}, \"2.220915694714295\": {\"frequency\": 1, \"value\": 2.220915694714295}, \"1.7873134123690786\": {\"frequency\": 1, \"value\": 1.7873134123690786}, \"1.783314667947144\": {\"frequency\": 1, \"value\": 1.783314667947144}, \"1.248663876891031\": {\"frequency\": 1, \"value\": 1.248663876891031}, \"1.9588331949562525\": {\"frequency\": 1, \"value\": 1.9588331949562525}, \"1.0962962947546924\": {\"frequency\": 1, \"value\": 1.0962962947546924}, \"1.2624940734281993\": {\"frequency\": 1, \"value\": 1.2624940734281993}, \"0.8108768408887417\": {\"frequency\": 1, \"value\": 0.8108768408887417}, \"1.2810730877448842\": {\"frequency\": 1, \"value\": 1.2810730877448842}, \"1.3051915121769617\": {\"frequency\": 1, \"value\": 1.3051915121769617}, \"0.6988177296857225\": {\"frequency\": 1, \"value\": 0.6988177296857225}, \"1.2067913973625568\": {\"frequency\": 1, \"value\": 1.2067913973625568}, \"1.1125979437172255\": {\"frequency\": 1, \"value\": 1.1125979437172255}, \"0.7896239794896652\": {\"frequency\": 1, \"value\": 0.7896239794896652}, \"0.9929809646260659\": {\"frequency\": 1, \"value\": 0.9929809646260659}, \"2.0539808709881524\": {\"frequency\": 1, \"value\": 2.0539808709881524}, \"2.0192642711842392\": {\"frequency\": 1, \"value\": 2.0192642711842392}, \"2.1016598371187944\": {\"frequency\": 1, \"value\": 2.1016598371187944}, \"0.9095299448861817\": {\"frequency\": 1, \"value\": 0.9095299448861817}, \"1.0958190448196456\": {\"frequency\": 1, \"value\": 1.0958190448196456}, \"2.0502968830043073\": {\"frequency\": 1, \"value\": 2.0502968830043073}, \"1.6840138940657752\": {\"frequency\": 1, \"value\": 1.6840138940657752}, \"0.8466590290926199\": {\"frequency\": 1, \"value\": 0.8466590290926199}, \"2.179793478917612\": {\"frequency\": 1, \"value\": 2.179793478917612}, \"0.9915485696678714\": {\"frequency\": 1, \"value\": 0.9915485696678714}, \"1.7609792453073048\": {\"frequency\": 1, \"value\": 1.7609792453073048}, \"1.2422290579365403\": {\"frequency\": 1, \"value\": 1.2422290579365403}, \"0.7815564117318753\": {\"frequency\": 1, \"value\": 0.7815564117318753}, \"1.1377793333215864\": {\"frequency\": 1, \"value\": 1.1377793333215864}, \"1.0198908914061424\": {\"frequency\": 1, \"value\": 1.0198908914061424}, \"1.065039742937413\": {\"frequency\": 1, \"value\": 1.065039742937413}, \"1.1001984464359893\": {\"frequency\": 1, \"value\": 1.1001984464359893}, \"1.1082016439919615\": {\"frequency\": 1, \"value\": 1.1082016439919615}, \"0.9067161806528113\": {\"frequency\": 1, \"value\": 0.9067161806528113}, \"2.012971221268715\": {\"frequency\": 1, \"value\": 2.012971221268715}, \"2.0866215906302688\": {\"frequency\": 1, \"value\": 2.0866215906302688}, \"1.6739994697952583\": {\"frequency\": 1, \"value\": 1.6739994697952583}, \"0.9583402488844011\": {\"frequency\": 1, \"value\": 0.9583402488844011}, \"0.7378059259117575\": {\"frequency\": 1, \"value\": 0.7378059259117575}, \"0.9289010450783096\": {\"frequency\": 1, \"value\": 0.9289010450783096}, \"1.783028788107711\": {\"frequency\": 1, \"value\": 1.783028788107711}, \"2.2282203733315145\": {\"frequency\": 1, \"value\": 2.2282203733315145}, \"2.0402959893408865\": {\"frequency\": 1, \"value\": 2.0402959893408865}, \"2.0746349436505156\": {\"frequency\": 1, \"value\": 2.0746349436505156}, \"0.8110259605223978\": {\"frequency\": 1, \"value\": 0.8110259605223978}, \"2.312680949005786\": {\"frequency\": 1, \"value\": 2.312680949005786}, \"1.5713383869522624\": {\"frequency\": 1, \"value\": 1.5713383869522624}, \"1.2083136777637165\": {\"frequency\": 1, \"value\": 1.2083136777637165}, \"0.9183970581920207\": {\"frequency\": 1, \"value\": 0.9183970581920207}, \"0.7872608817948904\": {\"frequency\": 1, \"value\": 0.7872608817948904}, \"1.6938393005201013\": {\"frequency\": 1, \"value\": 1.6938393005201013}, \"2.187749375136462\": {\"frequency\": 1, \"value\": 2.187749375136462}, \"0.935053946983408\": {\"frequency\": 1, \"value\": 0.935053946983408}, \"1.780500669045951\": {\"frequency\": 1, \"value\": 1.780500669045951}, \"0.939550053908986\": {\"frequency\": 1, \"value\": 0.939550053908986}, \"1.265277179337406\": {\"frequency\": 1, \"value\": 1.265277179337406}, \"1.7442972318958627\": {\"frequency\": 1, \"value\": 1.7442972318958627}, \"1.784327781836644\": {\"frequency\": 1, \"value\": 1.784327781836644}, \"2.035758573146636\": {\"frequency\": 1, \"value\": 2.035758573146636}, \"1.6448224000076341\": {\"frequency\": 1, \"value\": 1.6448224000076341}, \"2.313851922907181\": {\"frequency\": 1, \"value\": 2.313851922907181}, \"1.5597117428998883\": {\"frequency\": 1, \"value\": 1.5597117428998883}, \"0.9598382972008669\": {\"frequency\": 1, \"value\": 0.9598382972008669}, \"1.1217687668950902\": {\"frequency\": 1, \"value\": 1.1217687668950902}, \"2.2966257255947626\": {\"frequency\": 1, \"value\": 2.2966257255947626}, \"0.8314856596573984\": {\"frequency\": 1, \"value\": 0.8314856596573984}, \"1.9688204028468592\": {\"frequency\": 1, \"value\": 1.9688204028468592}, \"1.1186931839206478\": {\"frequency\": 1, \"value\": 1.1186931839206478}, \"1.9210300971933099\": {\"frequency\": 1, \"value\": 1.9210300971933099}, \"1.243315542748588\": {\"frequency\": 1, \"value\": 1.243315542748588}, \"1.0132120523572985\": {\"frequency\": 1, \"value\": 1.0132120523572985}, \"0.9038309318254542\": {\"frequency\": 1, \"value\": 0.9038309318254542}, \"1.79872689566429\": {\"frequency\": 1, \"value\": 1.79872689566429}, \"1.3152597945255435\": {\"frequency\": 1, \"value\": 1.3152597945255435}, \"0.8451082062458348\": {\"frequency\": 1, \"value\": 0.8451082062458348}, \"1.8185399756949345\": {\"frequency\": 1, \"value\": 1.8185399756949345}, \"0.944217144979352\": {\"frequency\": 1, \"value\": 0.944217144979352}, \"0.8690859730004832\": {\"frequency\": 1, \"value\": 0.8690859730004832}, \"1.3887242371298585\": {\"frequency\": 1, \"value\": 1.3887242371298585}, \"1.1898492947116472\": {\"frequency\": 1, \"value\": 1.1898492947116472}, \"1.6346177243390965\": {\"frequency\": 1, \"value\": 1.6346177243390965}, \"1.6322306792483003\": {\"frequency\": 1, \"value\": 1.6322306792483003}, \"1.0639299566268146\": {\"frequency\": 1, \"value\": 1.0639299566268146}, \"1.874288483951082\": {\"frequency\": 1, \"value\": 1.874288483951082}, \"0.7603814239617923\": {\"frequency\": 1, \"value\": 0.7603814239617923}, \"0.769912446036298\": {\"frequency\": 1, \"value\": 0.769912446036298}, \"0.9681975496891282\": {\"frequency\": 1, \"value\": 0.9681975496891282}, \"1.8601569441826051\": {\"frequency\": 1, \"value\": 1.8601569441826051}, \"0.824405876692826\": {\"frequency\": 1, \"value\": 0.824405876692826}, \"1.9206952521967364\": {\"frequency\": 1, \"value\": 1.9206952521967364}, \"1.1016135818782955\": {\"frequency\": 1, \"value\": 1.1016135818782955}, \"1.1843869608449156\": {\"frequency\": 1, \"value\": 1.1843869608449156}, \"1.0659245964255477\": {\"frequency\": 1, \"value\": 1.0659245964255477}, \"0.9404418241196544\": {\"frequency\": 1, \"value\": 0.9404418241196544}, \"1.9384617445265997\": {\"frequency\": 1, \"value\": 1.9384617445265997}, \"1.1195892982784361\": {\"frequency\": 1, \"value\": 1.1195892982784361}, \"0.8740699146119637\": {\"frequency\": 1, \"value\": 0.8740699146119637}, \"2.1768054394852654\": {\"frequency\": 1, \"value\": 2.1768054394852654}, \"0.9767792121931267\": {\"frequency\": 1, \"value\": 0.9767792121931267}, \"0.6766087911378331\": {\"frequency\": 1, \"value\": 0.6766087911378331}, \"0.9281766809868229\": {\"frequency\": 1, \"value\": 0.9281766809868229}, \"1.109496114420933\": {\"frequency\": 1, \"value\": 1.109496114420933}, \"2.1314535380609554\": {\"frequency\": 1, \"value\": 2.1314535380609554}, \"1.9591322126193906\": {\"frequency\": 1, \"value\": 1.9591322126193906}, \"2.0488886911923263\": {\"frequency\": 1, \"value\": 2.0488886911923263}, \"0.9498486646479701\": {\"frequency\": 1, \"value\": 0.9498486646479701}, \"2.213185363743378\": {\"frequency\": 1, \"value\": 2.213185363743378}, \"2.034936018579634\": {\"frequency\": 1, \"value\": 2.034936018579634}, \"1.0049224250495823\": {\"frequency\": 1, \"value\": 1.0049224250495823}, \"0.7802858544889341\": {\"frequency\": 1, \"value\": 0.7802858544889341}, \"2.0731182920449274\": {\"frequency\": 1, \"value\": 2.0731182920449274}, \"0.9689979813818331\": {\"frequency\": 1, \"value\": 0.9689979813818331}, \"0.7067151344394972\": {\"frequency\": 1, \"value\": 0.7067151344394972}, \"1.0249539042086424\": {\"frequency\": 1, \"value\": 1.0249539042086424}, \"0.6784646841913646\": {\"frequency\": 1, \"value\": 0.6784646841913646}, \"1.1731305845631708\": {\"frequency\": 1, \"value\": 1.1731305845631708}, \"0.7700891873485763\": {\"frequency\": 1, \"value\": 0.7700891873485763}, \"2.5080463241518345\": {\"frequency\": 1, \"value\": 2.5080463241518345}, \"1.4917522384623552\": {\"frequency\": 1, \"value\": 1.4917522384623552}, \"0.6547434795336646\": {\"frequency\": 1, \"value\": 0.6547434795336646}, \"0.49308910758315394\": {\"frequency\": 1, \"value\": 0.49308910758315394}, \"1.147721405798564\": {\"frequency\": 1, \"value\": 1.147721405798564}, \"2.334797141402142\": {\"frequency\": 1, \"value\": 2.334797141402142}, \"2.260285614332952\": {\"frequency\": 1, \"value\": 2.260285614332952}, \"2.3666870723631357\": {\"frequency\": 1, \"value\": 2.3666870723631357}, \"1.0296899162760156\": {\"frequency\": 1, \"value\": 1.0296899162760156}, \"0.8894918653166541\": {\"frequency\": 1, \"value\": 0.8894918653166541}, \"1.175660751546506\": {\"frequency\": 1, \"value\": 1.175660751546506}, \"2.0366900507163153\": {\"frequency\": 1, \"value\": 2.0366900507163153}, \"1.3820129906198066\": {\"frequency\": 1, \"value\": 1.3820129906198066}, \"1.8980809734107285\": {\"frequency\": 1, \"value\": 1.8980809734107285}, \"1.1025435046944798\": {\"frequency\": 1, \"value\": 1.1025435046944798}, \"0.6676803417770872\": {\"frequency\": 1, \"value\": 0.6676803417770872}, \"0.7206929524853685\": {\"frequency\": 1, \"value\": 0.7206929524853685}, \"2.041613905925993\": {\"frequency\": 1, \"value\": 2.041613905925993}, \"1.8680216540541004\": {\"frequency\": 1, \"value\": 1.8680216540541004}, \"1.176411319872602\": {\"frequency\": 1, \"value\": 1.176411319872602}, \"1.9730355097811292\": {\"frequency\": 1, \"value\": 1.9730355097811292}, \"2.2255567260255606\": {\"frequency\": 1, \"value\": 2.2255567260255606}, \"0.9899831811430356\": {\"frequency\": 1, \"value\": 0.9899831811430356}, \"0.8225638116309919\": {\"frequency\": 1, \"value\": 0.8225638116309919}, \"1.8962199591150295\": {\"frequency\": 1, \"value\": 1.8962199591150295}, \"1.0377557193587656\": {\"frequency\": 1, \"value\": 1.0377557193587656}, \"1.9501082839678103\": {\"frequency\": 1, \"value\": 1.9501082839678103}, \"1.0821197003876746\": {\"frequency\": 1, \"value\": 1.0821197003876746}, \"0.835118175734433\": {\"frequency\": 1, \"value\": 0.835118175734433}, \"0.6716593542380431\": {\"frequency\": 1, \"value\": 0.6716593542380431}, \"2.3236918648463947\": {\"frequency\": 1, \"value\": 2.3236918648463947}, \"1.9321091357070441\": {\"frequency\": 1, \"value\": 1.9321091357070441}, \"0.6417344903917632\": {\"frequency\": 1, \"value\": 0.6417344903917632}, \"1.7124417052396843\": {\"frequency\": 1, \"value\": 1.7124417052396843}, \"0.9506412884422496\": {\"frequency\": 1, \"value\": 0.9506412884422496}, \"0.8601364118055819\": {\"frequency\": 1, \"value\": 0.8601364118055819}, \"1.0763648019238767\": {\"frequency\": 1, \"value\": 1.0763648019238767}, \"1.160491279159279\": {\"frequency\": 1, \"value\": 1.160491279159279}, \"1.9739120532433345\": {\"frequency\": 1, \"value\": 1.9739120532433345}, \"2.2829748271844843\": {\"frequency\": 1, \"value\": 2.2829748271844843}, \"1.053137594993247\": {\"frequency\": 1, \"value\": 1.053137594993247}, \"1.2672470181625242\": {\"frequency\": 1, \"value\": 1.2672470181625242}, \"1.1642811874049623\": {\"frequency\": 1, \"value\": 1.1642811874049623}, \"0.9334376470295581\": {\"frequency\": 1, \"value\": 0.9334376470295581}, \"1.8971532068120023\": {\"frequency\": 1, \"value\": 1.8971532068120023}, \"1.7188065837714743\": {\"frequency\": 1, \"value\": 1.7188065837714743}, \"2.287009877357831\": {\"frequency\": 1, \"value\": 2.287009877357831}, \"2.2095944311936107\": {\"frequency\": 1, \"value\": 2.2095944311936107}, \"2.151831335021647\": {\"frequency\": 1, \"value\": 2.151831335021647}, \"1.0050810416770033\": {\"frequency\": 1, \"value\": 1.0050810416770033}, \"1.8235162362900164\": {\"frequency\": 1, \"value\": 1.8235162362900164}, \"1.079217316991312\": {\"frequency\": 1, \"value\": 1.079217316991312}, \"1.8390492518724262\": {\"frequency\": 1, \"value\": 1.8390492518724262}, \"0.5685287253011078\": {\"frequency\": 1, \"value\": 0.5685287253011078}, \"1.6002721048833255\": {\"frequency\": 1, \"value\": 1.6002721048833255}, \"1.8560852288164098\": {\"frequency\": 1, \"value\": 1.8560852288164098}, \"0.8701324144539224\": {\"frequency\": 1, \"value\": 0.8701324144539224}, \"0.5389666289912958\": {\"frequency\": 1, \"value\": 0.5389666289912958}, \"2.027090932637996\": {\"frequency\": 1, \"value\": 2.027090932637996}, \"2.1688908613209175\": {\"frequency\": 1, \"value\": 2.1688908613209175}, \"1.0175102482770382\": {\"frequency\": 1, \"value\": 1.0175102482770382}, \"1.021143999093431\": {\"frequency\": 1, \"value\": 1.021143999093431}, \"1.7187790457217977\": {\"frequency\": 1, \"value\": 1.7187790457217977}, \"0.8577918806417777\": {\"frequency\": 1, \"value\": 0.8577918806417777}, \"1.7441677785943484\": {\"frequency\": 1, \"value\": 1.7441677785943484}, \"1.4264306821140886\": {\"frequency\": 1, \"value\": 1.4264306821140886}, \"2.018870317863415\": {\"frequency\": 1, \"value\": 2.018870317863415}, \"0.9441406661443256\": {\"frequency\": 1, \"value\": 0.9441406661443256}, \"1.211961258986755\": {\"frequency\": 1, \"value\": 1.211961258986755}, \"0.9571666687599831\": {\"frequency\": 1, \"value\": 0.9571666687599831}, \"2.276837344916164\": {\"frequency\": 1, \"value\": 2.276837344916164}, \"1.0780186645375853\": {\"frequency\": 1, \"value\": 1.0780186645375853}, \"0.8559997137418381\": {\"frequency\": 1, \"value\": 0.8559997137418381}, \"2.015824344785907\": {\"frequency\": 1, \"value\": 2.015824344785907}, \"1.8278980505780784\": {\"frequency\": 1, \"value\": 1.8278980505780784}, \"0.6910457806444776\": {\"frequency\": 1, \"value\": 0.6910457806444776}, \"2.0321856336596444\": {\"frequency\": 1, \"value\": 2.0321856336596444}, \"2.0169936274075417\": {\"frequency\": 1, \"value\": 2.0169936274075417}, \"0.9052791886072684\": {\"frequency\": 1, \"value\": 0.9052791886072684}, \"1.9554081634059242\": {\"frequency\": 1, \"value\": 1.9554081634059242}, \"0.7663813004517606\": {\"frequency\": 1, \"value\": 0.7663813004517606}, \"1.9827089434577905\": {\"frequency\": 1, \"value\": 1.9827089434577905}, \"1.7630225110856461\": {\"frequency\": 1, \"value\": 1.7630225110856461}, \"1.887318467376366\": {\"frequency\": 1, \"value\": 1.887318467376366}, \"2.3588897610450146\": {\"frequency\": 1, \"value\": 2.3588897610450146}, \"0.9741693035079773\": {\"frequency\": 1, \"value\": 0.9741693035079773}, \"1.8023806624062777\": {\"frequency\": 1, \"value\": 1.8023806624062777}, \"1.9198027684207197\": {\"frequency\": 1, \"value\": 1.9198027684207197}, \"2.0329825458509396\": {\"frequency\": 1, \"value\": 2.0329825458509396}, \"0.944521721651378\": {\"frequency\": 1, \"value\": 0.944521721651378}, \"1.23034679495616\": {\"frequency\": 1, \"value\": 1.23034679495616}, \"2.0553743811692256\": {\"frequency\": 1, \"value\": 2.0553743811692256}, \"1.6310597672743907\": {\"frequency\": 1, \"value\": 1.6310597672743907}, \"2.1049835727291764\": {\"frequency\": 1, \"value\": 2.1049835727291764}, \"0.8279693230150673\": {\"frequency\": 1, \"value\": 0.8279693230150673}, \"2.1796481244807233\": {\"frequency\": 1, \"value\": 2.1796481244807233}, \"2.16732719743155\": {\"frequency\": 1, \"value\": 2.16732719743155}, \"1.810651917808562\": {\"frequency\": 1, \"value\": 1.810651917808562}, \"0.9071324617129016\": {\"frequency\": 1, \"value\": 0.9071324617129016}, \"1.6686569795356092\": {\"frequency\": 1, \"value\": 1.6686569795356092}, \"2.282883008545805\": {\"frequency\": 1, \"value\": 2.282883008545805}, \"0.8620900444499598\": {\"frequency\": 1, \"value\": 0.8620900444499598}, \"1.719730541392138\": {\"frequency\": 1, \"value\": 1.719730541392138}, \"2.041066512755592\": {\"frequency\": 1, \"value\": 2.041066512755592}, \"1.045168095720538\": {\"frequency\": 1, \"value\": 1.045168095720538}, \"1.1270849053107992\": {\"frequency\": 1, \"value\": 1.1270849053107992}, \"1.0500227813766252\": {\"frequency\": 1, \"value\": 1.0500227813766252}, \"0.7712717208316301\": {\"frequency\": 1, \"value\": 0.7712717208316301}, \"0.8956716980058762\": {\"frequency\": 1, \"value\": 0.8956716980058762}, \"2.121263904871876\": {\"frequency\": 1, \"value\": 2.121263904871876}, \"0.8673043427275785\": {\"frequency\": 1, \"value\": 0.8673043427275785}, \"1.2992279273903264\": {\"frequency\": 1, \"value\": 1.2992279273903264}, \"2.0802998110180573\": {\"frequency\": 1, \"value\": 2.0802998110180573}, \"2.3038006559872293\": {\"frequency\": 1, \"value\": 2.3038006559872293}, \"0.7261217751905685\": {\"frequency\": 1, \"value\": 0.7261217751905685}, \"0.6038407063552146\": {\"frequency\": 1, \"value\": 0.6038407063552146}, \"2.081016054636897\": {\"frequency\": 1, \"value\": 2.081016054636897}, \"2.109254373388753\": {\"frequency\": 1, \"value\": 2.109254373388753}, \"1.290854701392595\": {\"frequency\": 1, \"value\": 1.290854701392595}, \"2.0103640778964844\": {\"frequency\": 1, \"value\": 2.0103640778964844}, \"2.0183043893557753\": {\"frequency\": 1, \"value\": 2.0183043893557753}, \"0.8291808521396551\": {\"frequency\": 1, \"value\": 0.8291808521396551}, \"2.314466063507045\": {\"frequency\": 1, \"value\": 2.314466063507045}, \"0.957758803273696\": {\"frequency\": 1, \"value\": 0.957758803273696}, \"1.970082099666601\": {\"frequency\": 1, \"value\": 1.970082099666601}, \"2.1988788782630997\": {\"frequency\": 1, \"value\": 2.1988788782630997}, \"1.8395493656538378\": {\"frequency\": 1, \"value\": 1.8395493656538378}, \"1.0002496911576972\": {\"frequency\": 1, \"value\": 1.0002496911576972}, \"0.709126865080247\": {\"frequency\": 1, \"value\": 0.709126865080247}, \"0.9348661062359651\": {\"frequency\": 1, \"value\": 0.9348661062359651}, \"1.0099714533199646\": {\"frequency\": 1, \"value\": 1.0099714533199646}, \"1.091272672696157\": {\"frequency\": 1, \"value\": 1.091272672696157}, \"2.145785973477048\": {\"frequency\": 1, \"value\": 2.145785973477048}, \"2.2824303396597263\": {\"frequency\": 1, \"value\": 2.2824303396597263}, \"0.8827359949577736\": {\"frequency\": 1, \"value\": 0.8827359949577736}, \"2.0552479704039945\": {\"frequency\": 1, \"value\": 2.0552479704039945}, \"1.8201774123146923\": {\"frequency\": 1, \"value\": 1.8201774123146923}, \"0.7365650422388411\": {\"frequency\": 1, \"value\": 0.7365650422388411}, \"1.8222559485292738\": {\"frequency\": 1, \"value\": 1.8222559485292738}, \"1.4451888663476518\": {\"frequency\": 1, \"value\": 1.4451888663476518}, \"2.0603978420715108\": {\"frequency\": 1, \"value\": 2.0603978420715108}, \"1.8212851195371618\": {\"frequency\": 1, \"value\": 1.8212851195371618}, \"0.7393514491775368\": {\"frequency\": 1, \"value\": 0.7393514491775368}, \"0.6668087846404562\": {\"frequency\": 1, \"value\": 0.6668087846404562}, \"1.0504993254153745\": {\"frequency\": 1, \"value\": 1.0504993254153745}, \"1.9767555120924496\": {\"frequency\": 1, \"value\": 1.9767555120924496}, \"0.9524156540527986\": {\"frequency\": 1, \"value\": 0.9524156540527986}, \"0.9865731690770957\": {\"frequency\": 1, \"value\": 0.9865731690770957}, \"0.7415997497905744\": {\"frequency\": 1, \"value\": 0.7415997497905744}, \"2.044101531151435\": {\"frequency\": 1, \"value\": 2.044101531151435}, \"1.8173841563916406\": {\"frequency\": 1, \"value\": 1.8173841563916406}, \"2.0755518339461436\": {\"frequency\": 1, \"value\": 2.0755518339461436}, \"0.6986003203571456\": {\"frequency\": 1, \"value\": 0.6986003203571456}, \"0.9926232938309866\": {\"frequency\": 1, \"value\": 0.9926232938309866}, \"0.8515669959187115\": {\"frequency\": 1, \"value\": 0.8515669959187115}, \"0.9961354416057473\": {\"frequency\": 1, \"value\": 0.9961354416057473}, \"1.1957134594892085\": {\"frequency\": 1, \"value\": 1.1957134594892085}, \"2.3259000086464656\": {\"frequency\": 1, \"value\": 2.3259000086464656}, \"0.7544727159179184\": {\"frequency\": 1, \"value\": 0.7544727159179184}, \"0.7578914011753297\": {\"frequency\": 1, \"value\": 0.7578914011753297}, \"2.207488959346182\": {\"frequency\": 1, \"value\": 2.207488959346182}, \"0.9280893676918918\": {\"frequency\": 1, \"value\": 0.9280893676918918}, \"2.4158353329590074\": {\"frequency\": 1, \"value\": 2.4158353329590074}, \"0.9241704874240154\": {\"frequency\": 1, \"value\": 0.9241704874240154}, \"2.089536643148531\": {\"frequency\": 1, \"value\": 2.089536643148531}, \"2.215986243428507\": {\"frequency\": 1, \"value\": 2.215986243428507}, \"1.8464102816526369\": {\"frequency\": 1, \"value\": 1.8464102816526369}, \"1.8477015576376754\": {\"frequency\": 1, \"value\": 1.8477015576376754}, \"1.757184519381176\": {\"frequency\": 1, \"value\": 1.757184519381176}, \"2.3873424924805104\": {\"frequency\": 1, \"value\": 2.3873424924805104}, \"1.1073975828912723\": {\"frequency\": 1, \"value\": 1.1073975828912723}, \"1.3177061382195066\": {\"frequency\": 1, \"value\": 1.3177061382195066}, \"1.4128985722718639\": {\"frequency\": 1, \"value\": 1.4128985722718639}, \"1.7811518093929817\": {\"frequency\": 1, \"value\": 1.7811518093929817}, \"1.7831926758656131\": {\"frequency\": 1, \"value\": 1.7831926758656131}, \"0.9251747359471388\": {\"frequency\": 1, \"value\": 0.9251747359471388}, \"1.0420718733259626\": {\"frequency\": 1, \"value\": 1.0420718733259626}, \"1.339236314565632\": {\"frequency\": 1, \"value\": 1.339236314565632}, \"1.2732120136806664\": {\"frequency\": 1, \"value\": 1.2732120136806664}, \"1.8928170876667676\": {\"frequency\": 1, \"value\": 1.8928170876667676}, \"1.0157028050348353\": {\"frequency\": 1, \"value\": 1.0157028050348353}, \"0.9073956491781898\": {\"frequency\": 1, \"value\": 0.9073956491781898}, \"1.8527017656988503\": {\"frequency\": 1, \"value\": 1.8527017656988503}, \"1.9173565943296385\": {\"frequency\": 1, \"value\": 1.9173565943296385}, \"1.5963436263291566\": {\"frequency\": 1, \"value\": 1.5963436263291566}, \"1.1562396203419987\": {\"frequency\": 1, \"value\": 1.1562396203419987}, \"1.5905352773884076\": {\"frequency\": 1, \"value\": 1.5905352773884076}, \"0.9344490165407167\": {\"frequency\": 1, \"value\": 0.9344490165407167}, \"2.2155487611952527\": {\"frequency\": 1, \"value\": 2.2155487611952527}, \"2.1876185081811292\": {\"frequency\": 1, \"value\": 2.1876185081811292}, \"1.0621129420840958\": {\"frequency\": 1, \"value\": 1.0621129420840958}, \"1.955464979896969\": {\"frequency\": 1, \"value\": 1.955464979896969}, \"2.132651617935835\": {\"frequency\": 1, \"value\": 2.132651617935835}, \"1.4396592677340985\": {\"frequency\": 1, \"value\": 1.4396592677340985}, \"2.2852633721574054\": {\"frequency\": 1, \"value\": 2.2852633721574054}, \"0.9455736487963584\": {\"frequency\": 1, \"value\": 0.9455736487963584}, \"2.0032676168225785\": {\"frequency\": 1, \"value\": 2.0032676168225785}, \"0.9887801053318194\": {\"frequency\": 1, \"value\": 0.9887801053318194}, \"1.9591984255046995\": {\"frequency\": 1, \"value\": 1.9591984255046995}, \"1.9779221401946225\": {\"frequency\": 1, \"value\": 1.9779221401946225}, \"2.0342487090304426\": {\"frequency\": 1, \"value\": 2.0342487090304426}, \"0.7363208260710532\": {\"frequency\": 1, \"value\": 0.7363208260710532}, \"2.178134336286279\": {\"frequency\": 1, \"value\": 2.178134336286279}, \"2.3539842776393467\": {\"frequency\": 1, \"value\": 2.3539842776393467}, \"0.9724441571428458\": {\"frequency\": 1, \"value\": 0.9724441571428458}, \"1.9006783580540967\": {\"frequency\": 1, \"value\": 1.9006783580540967}, \"1.8092391159454873\": {\"frequency\": 1, \"value\": 1.8092391159454873}, \"2.3802680103696225\": {\"frequency\": 1, \"value\": 2.3802680103696225}, \"0.8226240792257125\": {\"frequency\": 1, \"value\": 0.8226240792257125}, \"1.3851611474919054\": {\"frequency\": 1, \"value\": 1.3851611474919054}, \"1.3429663217352086\": {\"frequency\": 1, \"value\": 1.3429663217352086}, \"1.399591215950001\": {\"frequency\": 1, \"value\": 1.399591215950001}, \"1.1310527461445194\": {\"frequency\": 1, \"value\": 1.1310527461445194}, \"2.119442500880685\": {\"frequency\": 1, \"value\": 2.119442500880685}, \"2.019200840993954\": {\"frequency\": 1, \"value\": 2.019200840993954}, \"0.7698615991486706\": {\"frequency\": 1, \"value\": 0.7698615991486706}, \"2.011785117836326\": {\"frequency\": 1, \"value\": 2.011785117836326}, \"1.982324895360169\": {\"frequency\": 1, \"value\": 1.982324895360169}, \"1.9924185877631728\": {\"frequency\": 1, \"value\": 1.9924185877631728}, \"1.9464810507529304\": {\"frequency\": 1, \"value\": 1.9464810507529304}, \"1.973173443446316\": {\"frequency\": 1, \"value\": 1.973173443446316}, \"1.1042607496551426\": {\"frequency\": 1, \"value\": 1.1042607496551426}, \"0.7806150056533773\": {\"frequency\": 1, \"value\": 0.7806150056533773}, \"2.1240716596687026\": {\"frequency\": 1, \"value\": 2.1240716596687026}, \"1.7056329985072827\": {\"frequency\": 1, \"value\": 1.7056329985072827}, \"0.8630379818119374\": {\"frequency\": 1, \"value\": 0.8630379818119374}, \"0.881763379247114\": {\"frequency\": 1, \"value\": 0.881763379247114}, \"1.8025426613084696\": {\"frequency\": 1, \"value\": 1.8025426613084696}, \"0.839700622921125\": {\"frequency\": 1, \"value\": 0.839700622921125}, \"1.1426032459421875\": {\"frequency\": 1, \"value\": 1.1426032459421875}, \"2.2129170272255703\": {\"frequency\": 1, \"value\": 2.2129170272255703}, \"1.0063661116548703\": {\"frequency\": 1, \"value\": 1.0063661116548703}, \"2.2734829964920316\": {\"frequency\": 1, \"value\": 2.2734829964920316}, \"1.1437794331056583\": {\"frequency\": 1, \"value\": 1.1437794331056583}, \"1.8755549056489889\": {\"frequency\": 1, \"value\": 1.8755549056489889}, \"2.0890786501789593\": {\"frequency\": 1, \"value\": 2.0890786501789593}, \"0.9880143994657818\": {\"frequency\": 1, \"value\": 0.9880143994657818}, \"0.9574953910459382\": {\"frequency\": 1, \"value\": 0.9574953910459382}, \"2.1898811047586437\": {\"frequency\": 1, \"value\": 2.1898811047586437}, \"0.9503161386589923\": {\"frequency\": 1, \"value\": 0.9503161386589923}, \"2.076283250841834\": {\"frequency\": 1, \"value\": 2.076283250841834}, \"1.9426225615220185\": {\"frequency\": 1, \"value\": 1.9426225615220185}, \"0.784580186119201\": {\"frequency\": 1, \"value\": 0.784580186119201}, \"1.878379748609662\": {\"frequency\": 1, \"value\": 1.878379748609662}, \"0.9919962549296735\": {\"frequency\": 1, \"value\": 0.9919962549296735}, \"1.1220783528610825\": {\"frequency\": 1, \"value\": 1.1220783528610825}, \"2.274992813278598\": {\"frequency\": 1, \"value\": 2.274992813278598}, \"0.802399611501253\": {\"frequency\": 1, \"value\": 0.802399611501253}, \"0.936134316570981\": {\"frequency\": 1, \"value\": 0.936134316570981}, \"1.0022997799740125\": {\"frequency\": 1, \"value\": 1.0022997799740125}, \"2.25956915813022\": {\"frequency\": 1, \"value\": 2.25956915813022}, \"1.9001166477955924\": {\"frequency\": 1, \"value\": 1.9001166477955924}, \"2.037899927509583\": {\"frequency\": 1, \"value\": 2.037899927509583}, \"2.2058877657565534\": {\"frequency\": 1, \"value\": 2.2058877657565534}, \"0.8871397933395679\": {\"frequency\": 1, \"value\": 0.8871397933395679}, \"2.062806768729429\": {\"frequency\": 1, \"value\": 2.062806768729429}, \"1.8356900348793734\": {\"frequency\": 1, \"value\": 1.8356900348793734}, \"1.297279850693277\": {\"frequency\": 1, \"value\": 1.297279850693277}, \"2.125312850149072\": {\"frequency\": 1, \"value\": 2.125312850149072}, \"1.542900110242071\": {\"frequency\": 1, \"value\": 1.542900110242071}, \"0.9962465888920214\": {\"frequency\": 1, \"value\": 0.9962465888920214}, \"2.039311480145757\": {\"frequency\": 1, \"value\": 2.039311480145757}, \"0.43308909894505954\": {\"frequency\": 1, \"value\": 0.43308909894505954}, \"1.9414811585683818\": {\"frequency\": 1, \"value\": 1.9414811585683818}, \"2.259565053394717\": {\"frequency\": 1, \"value\": 2.259565053394717}, \"1.0085559439767133\": {\"frequency\": 1, \"value\": 1.0085559439767133}, \"0.805166512991402\": {\"frequency\": 1, \"value\": 0.805166512991402}, \"1.8218169834008944\": {\"frequency\": 1, \"value\": 1.8218169834008944}, \"1.9366689409895785\": {\"frequency\": 1, \"value\": 1.9366689409895785}, \"1.8488498479119466\": {\"frequency\": 1, \"value\": 1.8488498479119466}, \"2.2628308867627895\": {\"frequency\": 1, \"value\": 2.2628308867627895}, \"1.840081300065902\": {\"frequency\": 1, \"value\": 1.840081300065902}, \"2.086326770562245\": {\"frequency\": 1, \"value\": 2.086326770562245}, \"2.0388585876091545\": {\"frequency\": 1, \"value\": 2.0388585876091545}, \"1.9565673768551666\": {\"frequency\": 1, \"value\": 1.9565673768551666}, \"2.3363153432534656\": {\"frequency\": 1, \"value\": 2.3363153432534656}, \"1.1782728212705889\": {\"frequency\": 1, \"value\": 1.1782728212705889}, \"1.9093228392297226\": {\"frequency\": 1, \"value\": 1.9093228392297226}, \"2.084850523620174\": {\"frequency\": 1, \"value\": 2.084850523620174}, \"2.080106136919741\": {\"frequency\": 1, \"value\": 2.080106136919741}, \"0.9381244814233277\": {\"frequency\": 1, \"value\": 0.9381244814233277}, \"1.7518750800887544\": {\"frequency\": 1, \"value\": 1.7518750800887544}, \"2.116444918279585\": {\"frequency\": 1, \"value\": 2.116444918279585}, \"1.9439289009630982\": {\"frequency\": 1, \"value\": 1.9439289009630982}, \"1.0946976523332925\": {\"frequency\": 1, \"value\": 1.0946976523332925}, \"2.099899646693732\": {\"frequency\": 1, \"value\": 2.099899646693732}, \"0.8924833262883876\": {\"frequency\": 1, \"value\": 0.8924833262883876}, \"1.9938127485452082\": {\"frequency\": 1, \"value\": 1.9938127485452082}, \"2.0832199268831646\": {\"frequency\": 1, \"value\": 2.0832199268831646}, \"1.7630626819176896\": {\"frequency\": 1, \"value\": 1.7630626819176896}, \"1.3844649510888798\": {\"frequency\": 1, \"value\": 1.3844649510888798}, \"2.1086906879165452\": {\"frequency\": 1, \"value\": 2.1086906879165452}, \"1.20403454234316\": {\"frequency\": 1, \"value\": 1.20403454234316}, \"0.9700730919344659\": {\"frequency\": 1, \"value\": 0.9700730919344659}, \"2.0007166411909165\": {\"frequency\": 1, \"value\": 2.0007166411909165}, \"1.0103890791592278\": {\"frequency\": 1, \"value\": 1.0103890791592278}, \"0.9651986324983932\": {\"frequency\": 1, \"value\": 0.9651986324983932}, \"2.0938744450677502\": {\"frequency\": 1, \"value\": 2.0938744450677502}, \"1.254590749783982\": {\"frequency\": 1, \"value\": 1.254590749783982}, \"1.962658177638044\": {\"frequency\": 1, \"value\": 1.962658177638044}, \"1.853864449427035\": {\"frequency\": 1, \"value\": 1.853864449427035}, \"1.1190846313527447\": {\"frequency\": 1, \"value\": 1.1190846313527447}, \"1.08093909112286\": {\"frequency\": 1, \"value\": 1.08093909112286}, \"1.0495412756933649\": {\"frequency\": 1, \"value\": 1.0495412756933649}, \"1.2189276749424183\": {\"frequency\": 1, \"value\": 1.2189276749424183}, \"1.9112327813689605\": {\"frequency\": 1, \"value\": 1.9112327813689605}, \"0.9274517668025724\": {\"frequency\": 1, \"value\": 0.9274517668025724}, \"2.0936609815379184\": {\"frequency\": 1, \"value\": 2.0936609815379184}, \"1.2404759697568823\": {\"frequency\": 1, \"value\": 1.2404759697568823}, \"0.806362787218579\": {\"frequency\": 1, \"value\": 0.806362787218579}, \"0.7791752028401476\": {\"frequency\": 1, \"value\": 0.7791752028401476}, \"1.0635770194476364\": {\"frequency\": 1, \"value\": 1.0635770194476364}, \"0.7303151361756598\": {\"frequency\": 1, \"value\": 0.7303151361756598}, \"1.0476206295664625\": {\"frequency\": 1, \"value\": 1.0476206295664625}, \"2.1558921062518124\": {\"frequency\": 1, \"value\": 2.1558921062518124}, \"1.293871753980057\": {\"frequency\": 1, \"value\": 1.293871753980057}, \"0.8410727357857002\": {\"frequency\": 1, \"value\": 0.8410727357857002}, \"2.2144601294576183\": {\"frequency\": 1, \"value\": 2.2144601294576183}, \"1.985215066743917\": {\"frequency\": 1, \"value\": 1.985215066743917}, \"1.9655598414606235\": {\"frequency\": 1, \"value\": 1.9655598414606235}, \"0.6916825200656425\": {\"frequency\": 1, \"value\": 0.6916825200656425}, \"1.9694451152909183\": {\"frequency\": 1, \"value\": 1.9694451152909183}, \"1.0758303471110164\": {\"frequency\": 1, \"value\": 1.0758303471110164}, \"0.7801198418831611\": {\"frequency\": 1, \"value\": 0.7801198418831611}, \"1.1288904066822085\": {\"frequency\": 1, \"value\": 1.1288904066822085}, \"1.8747019553701825\": {\"frequency\": 1, \"value\": 1.8747019553701825}, \"2.1113928241157773\": {\"frequency\": 1, \"value\": 2.1113928241157773}, \"1.2080477928499118\": {\"frequency\": 1, \"value\": 1.2080477928499118}, \"1.7556447330610456\": {\"frequency\": 1, \"value\": 1.7556447330610456}, \"1.8732022681366558\": {\"frequency\": 1, \"value\": 1.8732022681366558}, \"1.9848699058823154\": {\"frequency\": 1, \"value\": 1.9848699058823154}, \"2.1760357824161565\": {\"frequency\": 1, \"value\": 2.1760357824161565}, \"2.000543507978136\": {\"frequency\": 1, \"value\": 2.000543507978136}, \"2.201942370962343\": {\"frequency\": 1, \"value\": 2.201942370962343}, \"1.0795130431234932\": {\"frequency\": 1, \"value\": 1.0795130431234932}, \"0.898198832281736\": {\"frequency\": 1, \"value\": 0.898198832281736}, \"0.9284841936062804\": {\"frequency\": 1, \"value\": 0.9284841936062804}, \"1.2993821987041654\": {\"frequency\": 1, \"value\": 1.2993821987041654}, \"1.1028008359632127\": {\"frequency\": 1, \"value\": 1.1028008359632127}, \"0.8275466000493527\": {\"frequency\": 1, \"value\": 0.8275466000493527}, \"2.3319101592379745\": {\"frequency\": 1, \"value\": 2.3319101592379745}, \"0.8045070245508261\": {\"frequency\": 1, \"value\": 0.8045070245508261}, \"2.132414857799941\": {\"frequency\": 1, \"value\": 2.132414857799941}, \"0.8224439726728129\": {\"frequency\": 1, \"value\": 0.8224439726728129}, \"0.9579622372406476\": {\"frequency\": 1, \"value\": 0.9579622372406476}, \"0.9560454028573275\": {\"frequency\": 1, \"value\": 0.9560454028573275}, \"1.8124981227782542\": {\"frequency\": 1, \"value\": 1.8124981227782542}, \"1.64505103696227\": {\"frequency\": 1, \"value\": 1.64505103696227}, \"1.2158389456224978\": {\"frequency\": 1, \"value\": 1.2158389456224978}, \"2.098767355256191\": {\"frequency\": 1, \"value\": 2.098767355256191}, \"1.9759917755807783\": {\"frequency\": 1, \"value\": 1.9759917755807783}, \"1.1359949688490205\": {\"frequency\": 1, \"value\": 1.1359949688490205}, \"2.11305344050729\": {\"frequency\": 1, \"value\": 2.11305344050729}, \"1.8849488010387765\": {\"frequency\": 1, \"value\": 1.8849488010387765}, \"0.8697948813399706\": {\"frequency\": 1, \"value\": 0.8697948813399706}, \"2.106394927801438\": {\"frequency\": 1, \"value\": 2.106394927801438}, \"1.9831553406945213\": {\"frequency\": 1, \"value\": 1.9831553406945213}, \"1.9855522482656665\": {\"frequency\": 1, \"value\": 1.9855522482656665}, \"1.3473549913953422\": {\"frequency\": 1, \"value\": 1.3473549913953422}, \"1.0878783402529073\": {\"frequency\": 1, \"value\": 1.0878783402529073}, \"1.0814923672482222\": {\"frequency\": 1, \"value\": 1.0814923672482222}, \"2.1857483849613883\": {\"frequency\": 1, \"value\": 2.1857483849613883}, \"0.9148915574457104\": {\"frequency\": 1, \"value\": 0.9148915574457104}, \"1.1145502733714432\": {\"frequency\": 1, \"value\": 1.1145502733714432}, \"2.007599202690703\": {\"frequency\": 1, \"value\": 2.007599202690703}, \"1.9397055370276615\": {\"frequency\": 1, \"value\": 1.9397055370276615}, \"1.168517759291396\": {\"frequency\": 1, \"value\": 1.168517759291396}, \"1.7947985496748435\": {\"frequency\": 1, \"value\": 1.7947985496748435}, \"1.1751391357559013\": {\"frequency\": 1, \"value\": 1.1751391357559013}, \"0.9889482008540695\": {\"frequency\": 1, \"value\": 0.9889482008540695}, \"1.3859064107633972\": {\"frequency\": 1, \"value\": 1.3859064107633972}, \"1.795487121747863\": {\"frequency\": 1, \"value\": 1.795487121747863}, \"2.202452102013067\": {\"frequency\": 1, \"value\": 2.202452102013067}, \"1.9769785063025547\": {\"frequency\": 1, \"value\": 1.9769785063025547}, \"2.095413618471373\": {\"frequency\": 1, \"value\": 2.095413618471373}, \"1.9218404007837973\": {\"frequency\": 1, \"value\": 1.9218404007837973}, \"1.8203356057135969\": {\"frequency\": 1, \"value\": 1.8203356057135969}, \"0.946122044309752\": {\"frequency\": 1, \"value\": 0.946122044309752}, \"1.0311181469937796\": {\"frequency\": 1, \"value\": 1.0311181469937796}, \"2.2075171334101267\": {\"frequency\": 1, \"value\": 2.2075171334101267}, \"1.1688725952803094\": {\"frequency\": 1, \"value\": 1.1688725952803094}, \"2.254808907589417\": {\"frequency\": 1, \"value\": 2.254808907589417}, \"1.948084603633192\": {\"frequency\": 1, \"value\": 1.948084603633192}, \"2.118441136328808\": {\"frequency\": 1, \"value\": 2.118441136328808}, \"0.9303907240714762\": {\"frequency\": 1, \"value\": 0.9303907240714762}, \"1.0786125867960183\": {\"frequency\": 1, \"value\": 1.0786125867960183}, \"0.9364913812139601\": {\"frequency\": 1, \"value\": 0.9364913812139601}, \"0.9124359910511132\": {\"frequency\": 1, \"value\": 0.9124359910511132}, \"1.9103434401682409\": {\"frequency\": 1, \"value\": 1.9103434401682409}, \"2.1514936660122808\": {\"frequency\": 1, \"value\": 2.1514936660122808}, \"1.3977463837190782\": {\"frequency\": 1, \"value\": 1.3977463837190782}, \"1.2614367690162516\": {\"frequency\": 1, \"value\": 1.2614367690162516}, \"2.0275379651806693\": {\"frequency\": 1, \"value\": 2.0275379651806693}, \"1.359507877425181\": {\"frequency\": 1, \"value\": 1.359507877425181}, \"2.2750450840893794\": {\"frequency\": 1, \"value\": 2.2750450840893794}, \"1.1647008307927462\": {\"frequency\": 1, \"value\": 1.1647008307927462}, \"2.0010585292598724\": {\"frequency\": 1, \"value\": 2.0010585292598724}, \"0.9103069987591881\": {\"frequency\": 1, \"value\": 0.9103069987591881}, \"0.7571565437281321\": {\"frequency\": 1, \"value\": 0.7571565437281321}, \"2.000644443288631\": {\"frequency\": 1, \"value\": 2.000644443288631}, \"1.7743977337059986\": {\"frequency\": 1, \"value\": 1.7743977337059986}, \"0.8282160184384657\": {\"frequency\": 1, \"value\": 0.8282160184384657}, \"2.1795728346406245\": {\"frequency\": 1, \"value\": 2.1795728346406245}, \"1.801375277814084\": {\"frequency\": 1, \"value\": 1.801375277814084}, \"2.2801378068886002\": {\"frequency\": 1, \"value\": 2.2801378068886002}, \"1.1478609066266052\": {\"frequency\": 1, \"value\": 1.1478609066266052}, \"1.1353816070060492\": {\"frequency\": 1, \"value\": 1.1353816070060492}, \"0.6230828310041104\": {\"frequency\": 1, \"value\": 0.6230828310041104}, \"1.8055364163946965\": {\"frequency\": 1, \"value\": 1.8055364163946965}, \"1.1088289504716016\": {\"frequency\": 1, \"value\": 1.1088289504716016}, \"2.0394362110394733\": {\"frequency\": 1, \"value\": 2.0394362110394733}, \"0.7166793035148719\": {\"frequency\": 1, \"value\": 0.7166793035148719}, \"1.1303562523401232\": {\"frequency\": 1, \"value\": 1.1303562523401232}, \"0.5989749146695703\": {\"frequency\": 1, \"value\": 0.5989749146695703}, \"1.8408998899893418\": {\"frequency\": 1, \"value\": 1.8408998899893418}, \"1.789721920267987\": {\"frequency\": 1, \"value\": 1.789721920267987}, \"2.0351637906592055\": {\"frequency\": 1, \"value\": 2.0351637906592055}, \"0.5752219963908882\": {\"frequency\": 1, \"value\": 0.5752219963908882}, \"1.200883838452325\": {\"frequency\": 1, \"value\": 1.200883838452325}, \"1.9248080068057483\": {\"frequency\": 1, \"value\": 1.9248080068057483}, \"2.251975066303403\": {\"frequency\": 1, \"value\": 2.251975066303403}, \"2.0748310171941604\": {\"frequency\": 1, \"value\": 2.0748310171941604}, \"2.3439178614832388\": {\"frequency\": 1, \"value\": 2.3439178614832388}, \"2.2020855106251016\": {\"frequency\": 1, \"value\": 2.2020855106251016}, \"2.0712585634944576\": {\"frequency\": 1, \"value\": 2.0712585634944576}, \"0.7623151156833962\": {\"frequency\": 1, \"value\": 0.7623151156833962}, \"1.26924421464446\": {\"frequency\": 1, \"value\": 1.26924421464446}, \"1.8621101630900125\": {\"frequency\": 1, \"value\": 1.8621101630900125}, \"2.032845551097467\": {\"frequency\": 1, \"value\": 2.032845551097467}, \"0.8539285808884081\": {\"frequency\": 1, \"value\": 0.8539285808884081}, \"2.155521456268448\": {\"frequency\": 1, \"value\": 2.155521456268448}, \"2.2514439301657987\": {\"frequency\": 1, \"value\": 2.2514439301657987}, \"0.8003616543536272\": {\"frequency\": 1, \"value\": 0.8003616543536272}, \"2.098194211036396\": {\"frequency\": 1, \"value\": 2.098194211036396}, \"1.7710614737514805\": {\"frequency\": 1, \"value\": 1.7710614737514805}, \"0.5509356703257196\": {\"frequency\": 1, \"value\": 0.5509356703257196}, \"2.1312781501718603\": {\"frequency\": 1, \"value\": 2.1312781501718603}, \"2.3485337561311264\": {\"frequency\": 1, \"value\": 2.3485337561311264}, \"2.0088044552350697\": {\"frequency\": 1, \"value\": 2.0088044552350697}, \"0.9997229914529808\": {\"frequency\": 1, \"value\": 0.9997229914529808}, \"0.8580291635707792\": {\"frequency\": 1, \"value\": 0.8580291635707792}, \"2.2998982980277525\": {\"frequency\": 1, \"value\": 2.2998982980277525}, \"0.7961497700989741\": {\"frequency\": 1, \"value\": 0.7961497700989741}, \"2.0048581828275562\": {\"frequency\": 1, \"value\": 2.0048581828275562}, \"1.0834637642063671\": {\"frequency\": 1, \"value\": 1.0834637642063671}, \"0.8218541633877008\": {\"frequency\": 1, \"value\": 0.8218541633877008}, \"0.9037945763078424\": {\"frequency\": 1, \"value\": 0.9037945763078424}, \"2.1177484813615015\": {\"frequency\": 1, \"value\": 2.1177484813615015}, \"0.9347363075683364\": {\"frequency\": 1, \"value\": 0.9347363075683364}, \"1.3072754108491595\": {\"frequency\": 1, \"value\": 1.3072754108491595}, \"1.5475512729512388\": {\"frequency\": 1, \"value\": 1.5475512729512388}, \"2.159334421672934\": {\"frequency\": 1, \"value\": 2.159334421672934}, \"1.1549456638134323\": {\"frequency\": 1, \"value\": 1.1549456638134323}, \"0.9419205798392266\": {\"frequency\": 1, \"value\": 0.9419205798392266}, \"1.9816681183799234\": {\"frequency\": 1, \"value\": 1.9816681183799234}, \"1.9592858657053047\": {\"frequency\": 1, \"value\": 1.9592858657053047}, \"1.7933670449417265\": {\"frequency\": 1, \"value\": 1.7933670449417265}, \"1.9151364758044198\": {\"frequency\": 1, \"value\": 1.9151364758044198}, \"1.0845257243417652\": {\"frequency\": 1, \"value\": 1.0845257243417652}, \"1.9463254529581238\": {\"frequency\": 1, \"value\": 1.9463254529581238}, \"1.1776677723993685\": {\"frequency\": 1, \"value\": 1.1776677723993685}, \"0.6074535981718496\": {\"frequency\": 1, \"value\": 0.6074535981718496}, \"1.6808444777117373\": {\"frequency\": 1, \"value\": 1.6808444777117373}, \"1.962116414237642\": {\"frequency\": 1, \"value\": 1.962116414237642}, \"1.9191295560752\": {\"frequency\": 1, \"value\": 1.9191295560752}, \"1.8820735916097941\": {\"frequency\": 1, \"value\": 1.8820735916097941}, \"1.0856663741060835\": {\"frequency\": 1, \"value\": 1.0856663741060835}, \"1.3471757995371427\": {\"frequency\": 1, \"value\": 1.3471757995371427}, \"2.3252862981984515\": {\"frequency\": 1, \"value\": 2.3252862981984515}, \"1.8356930965960945\": {\"frequency\": 1, \"value\": 1.8356930965960945}, \"0.9877010471430228\": {\"frequency\": 1, \"value\": 0.9877010471430228}, \"1.1815397595975798\": {\"frequency\": 1, \"value\": 1.1815397595975798}, \"0.7106119330488383\": {\"frequency\": 1, \"value\": 0.7106119330488383}, \"1.0647251529218238\": {\"frequency\": 1, \"value\": 1.0647251529218238}, \"1.1165907359506586\": {\"frequency\": 1, \"value\": 1.1165907359506586}, \"1.716618777374748\": {\"frequency\": 1, \"value\": 1.716618777374748}, \"1.1307237190880721\": {\"frequency\": 1, \"value\": 1.1307237190880721}, \"1.2163870436954531\": {\"frequency\": 1, \"value\": 1.2163870436954531}, \"1.988543760041897\": {\"frequency\": 1, \"value\": 1.988543760041897}, \"0.7813876982538989\": {\"frequency\": 1, \"value\": 0.7813876982538989}, \"1.9567312043408547\": {\"frequency\": 1, \"value\": 1.9567312043408547}, \"1.927228238005842\": {\"frequency\": 1, \"value\": 1.927228238005842}, \"1.0803978726889403\": {\"frequency\": 1, \"value\": 1.0803978726889403}, \"0.8354343351411436\": {\"frequency\": 1, \"value\": 0.8354343351411436}, \"1.8639643592006299\": {\"frequency\": 1, \"value\": 1.8639643592006299}, \"1.2234032576191707\": {\"frequency\": 1, \"value\": 1.2234032576191707}, \"1.6447222767306848\": {\"frequency\": 1, \"value\": 1.6447222767306848}, \"1.2444890140764855\": {\"frequency\": 1, \"value\": 1.2444890140764855}, \"2.1600595898680055\": {\"frequency\": 1, \"value\": 2.1600595898680055}, \"1.1508191327312485\": {\"frequency\": 1, \"value\": 1.1508191327312485}, \"2.199351928563963\": {\"frequency\": 1, \"value\": 2.199351928563963}, \"1.800113996687696\": {\"frequency\": 1, \"value\": 1.800113996687696}, \"1.9994247794681999\": {\"frequency\": 1, \"value\": 1.9994247794681999}, \"2.161312753579252\": {\"frequency\": 1, \"value\": 2.161312753579252}, \"1.8134859540205974\": {\"frequency\": 1, \"value\": 1.8134859540205974}, \"0.8842300670471169\": {\"frequency\": 1, \"value\": 0.8842300670471169}, \"0.9433204451087496\": {\"frequency\": 1, \"value\": 0.9433204451087496}, \"0.9196438127583476\": {\"frequency\": 1, \"value\": 0.9196438127583476}, \"1.7306564988404889\": {\"frequency\": 1, \"value\": 1.7306564988404889}, \"2.3891522782612653\": {\"frequency\": 1, \"value\": 2.3891522782612653}, \"2.109665626099596\": {\"frequency\": 1, \"value\": 2.109665626099596}, \"2.4464032779050355\": {\"frequency\": 1, \"value\": 2.4464032779050355}, \"0.9076830790370582\": {\"frequency\": 1, \"value\": 0.9076830790370582}, \"1.6858753182733095\": {\"frequency\": 1, \"value\": 1.6858753182733095}, \"1.1290110546919754\": {\"frequency\": 1, \"value\": 1.1290110546919754}, \"1.829167747837129\": {\"frequency\": 1, \"value\": 1.829167747837129}, \"2.090186892361183\": {\"frequency\": 1, \"value\": 2.090186892361183}, \"1.8551377361537755\": {\"frequency\": 1, \"value\": 1.8551377361537755}, \"0.852012829406948\": {\"frequency\": 1, \"value\": 0.852012829406948}, \"1.0586942795299645\": {\"frequency\": 1, \"value\": 1.0586942795299645}, \"1.9385863026317127\": {\"frequency\": 1, \"value\": 1.9385863026317127}, \"1.2159237184073644\": {\"frequency\": 1, \"value\": 1.2159237184073644}, \"2.184886804391702\": {\"frequency\": 1, \"value\": 2.184886804391702}, \"1.739355983464317\": {\"frequency\": 1, \"value\": 1.739355983464317}, \"1.7806796505814562\": {\"frequency\": 1, \"value\": 1.7806796505814562}, \"0.8045444240247178\": {\"frequency\": 1, \"value\": 0.8045444240247178}, \"1.0604943795479562\": {\"frequency\": 1, \"value\": 1.0604943795479562}, \"1.0176844174089323\": {\"frequency\": 1, \"value\": 1.0176844174089323}, \"0.9797437027565201\": {\"frequency\": 1, \"value\": 0.9797437027565201}, \"0.9126503325083986\": {\"frequency\": 1, \"value\": 0.9126503325083986}, \"1.1475043026827763\": {\"frequency\": 1, \"value\": 1.1475043026827763}, \"0.8362991718812649\": {\"frequency\": 1, \"value\": 0.8362991718812649}, \"1.3327746248875458\": {\"frequency\": 1, \"value\": 1.3327746248875458}, \"1.0316867693571063\": {\"frequency\": 1, \"value\": 1.0316867693571063}, \"0.7317006548833915\": {\"frequency\": 1, \"value\": 0.7317006548833915}, \"1.9533066676912614\": {\"frequency\": 1, \"value\": 1.9533066676912614}, \"1.091083998187362\": {\"frequency\": 1, \"value\": 1.091083998187362}, \"1.904755112737066\": {\"frequency\": 1, \"value\": 1.904755112737066}, \"1.804234028128246\": {\"frequency\": 1, \"value\": 1.804234028128246}, \"0.8380746847919774\": {\"frequency\": 1, \"value\": 0.8380746847919774}, \"1.5588989289960355\": {\"frequency\": 1, \"value\": 1.5588989289960355}, \"1.765761932913172\": {\"frequency\": 1, \"value\": 1.765761932913172}, \"2.0257072633712094\": {\"frequency\": 1, \"value\": 2.0257072633712094}, \"1.1040081229141736\": {\"frequency\": 1, \"value\": 1.1040081229141736}, \"0.9566934256300343\": {\"frequency\": 1, \"value\": 0.9566934256300343}, \"0.9395394498849329\": {\"frequency\": 1, \"value\": 0.9395394498849329}, \"0.82846595908492\": {\"frequency\": 1, \"value\": 0.82846595908492}, \"2.279579252217347\": {\"frequency\": 1, \"value\": 2.279579252217347}, \"1.6740832794503122\": {\"frequency\": 1, \"value\": 1.6740832794503122}, \"0.9724321642807813\": {\"frequency\": 1, \"value\": 0.9724321642807813}, \"0.8648593713256698\": {\"frequency\": 1, \"value\": 0.8648593713256698}, \"1.1009989443560022\": {\"frequency\": 1, \"value\": 1.1009989443560022}, \"1.9402480798860129\": {\"frequency\": 1, \"value\": 1.9402480798860129}, \"2.346914434984742\": {\"frequency\": 1, \"value\": 2.346914434984742}, \"0.603886881786212\": {\"frequency\": 1, \"value\": 0.603886881786212}, \"1.3604484459581094\": {\"frequency\": 1, \"value\": 1.3604484459581094}, \"0.8782369765165737\": {\"frequency\": 1, \"value\": 0.8782369765165737}, \"2.1055194765548633\": {\"frequency\": 1, \"value\": 2.1055194765548633}, \"0.9521241644848147\": {\"frequency\": 1, \"value\": 0.9521241644848147}, \"2.110626412841517\": {\"frequency\": 1, \"value\": 2.110626412841517}, \"2.0794212472899556\": {\"frequency\": 1, \"value\": 2.0794212472899556}, \"2.1636707461654323\": {\"frequency\": 1, \"value\": 2.1636707461654323}, \"2.451344699459642\": {\"frequency\": 1, \"value\": 2.451344699459642}, \"1.9950901152715241\": {\"frequency\": 1, \"value\": 1.9950901152715241}, \"0.44548144871467\": {\"frequency\": 1, \"value\": 0.44548144871467}, \"1.841648696871307\": {\"frequency\": 1, \"value\": 1.841648696871307}, \"2.111616376123733\": {\"frequency\": 1, \"value\": 2.111616376123733}, \"0.7250097413163963\": {\"frequency\": 1, \"value\": 0.7250097413163963}, \"2.2323067607118237\": {\"frequency\": 1, \"value\": 2.2323067607118237}, \"2.0545592779060526\": {\"frequency\": 1, \"value\": 2.0545592779060526}, \"1.883746304627935\": {\"frequency\": 1, \"value\": 1.883746304627935}, \"1.828584362265767\": {\"frequency\": 1, \"value\": 1.828584362265767}, \"1.9694411073195828\": {\"frequency\": 1, \"value\": 1.9694411073195828}, \"1.8957621375397777\": {\"frequency\": 1, \"value\": 1.8957621375397777}, \"1.939999284612441\": {\"frequency\": 1, \"value\": 1.939999284612441}, \"2.1393301308672528\": {\"frequency\": 1, \"value\": 2.1393301308672528}, \"0.9403353662008332\": {\"frequency\": 1, \"value\": 0.9403353662008332}, \"1.0615465149358865\": {\"frequency\": 1, \"value\": 1.0615465149358865}, \"0.839229919193696\": {\"frequency\": 1, \"value\": 0.839229919193696}, \"1.8648812344739873\": {\"frequency\": 1, \"value\": 1.8648812344739873}, \"1.7263509809323219\": {\"frequency\": 1, \"value\": 1.7263509809323219}, \"2.1937765277126102\": {\"frequency\": 1, \"value\": 2.1937765277126102}, \"0.9622330439564433\": {\"frequency\": 1, \"value\": 0.9622330439564433}, \"1.1174518758799652\": {\"frequency\": 1, \"value\": 1.1174518758799652}, \"2.303652234071141\": {\"frequency\": 1, \"value\": 2.303652234071141}, \"1.1938793416316023\": {\"frequency\": 1, \"value\": 1.1938793416316023}, \"0.8368416916012057\": {\"frequency\": 1, \"value\": 0.8368416916012057}, \"1.9368793753228284\": {\"frequency\": 1, \"value\": 1.9368793753228284}, \"2.0387663473856827\": {\"frequency\": 1, \"value\": 2.0387663473856827}, \"0.9803699220714084\": {\"frequency\": 1, \"value\": 0.9803699220714084}, \"2.250113966508687\": {\"frequency\": 1, \"value\": 2.250113966508687}, \"0.9656907337555504\": {\"frequency\": 1, \"value\": 0.9656907337555504}, \"2.249339028178887\": {\"frequency\": 1, \"value\": 2.249339028178887}, \"2.2065978389039893\": {\"frequency\": 1, \"value\": 2.2065978389039893}, \"2.4042087122969598\": {\"frequency\": 1, \"value\": 2.4042087122969598}, \"0.8876842500793558\": {\"frequency\": 1, \"value\": 0.8876842500793558}, \"1.0195792290825254\": {\"frequency\": 1, \"value\": 1.0195792290825254}, \"0.6902407725994668\": {\"frequency\": 1, \"value\": 0.6902407725994668}, \"0.670390758726764\": {\"frequency\": 1, \"value\": 0.670390758726764}, \"1.0869577610922079\": {\"frequency\": 1, \"value\": 1.0869577610922079}, \"2.2255913249866763\": {\"frequency\": 1, \"value\": 2.2255913249866763}, \"1.0680049196519306\": {\"frequency\": 1, \"value\": 1.0680049196519306}, \"2.2917429499351987\": {\"frequency\": 1, \"value\": 2.2917429499351987}, \"0.8684097910477663\": {\"frequency\": 1, \"value\": 0.8684097910477663}, \"0.8442649054684774\": {\"frequency\": 1, \"value\": 0.8442649054684774}, \"1.0395706619134306\": {\"frequency\": 1, \"value\": 1.0395706619134306}, \"1.8795336292834275\": {\"frequency\": 1, \"value\": 1.8795336292834275}, \"0.894871881379612\": {\"frequency\": 1, \"value\": 0.894871881379612}, \"1.9923046683522094\": {\"frequency\": 1, \"value\": 1.9923046683522094}, \"0.9187856407480336\": {\"frequency\": 1, \"value\": 0.9187856407480336}, \"2.067168944281063\": {\"frequency\": 1, \"value\": 2.067168944281063}, \"1.8945816779551916\": {\"frequency\": 1, \"value\": 1.8945816779551916}, \"2.028333432974306\": {\"frequency\": 1, \"value\": 2.028333432974306}, \"1.1558102440265983\": {\"frequency\": 1, \"value\": 1.1558102440265983}, \"0.8819884708260921\": {\"frequency\": 1, \"value\": 0.8819884708260921}, \"0.9601439890170815\": {\"frequency\": 1, \"value\": 0.9601439890170815}, \"2.113601471845284\": {\"frequency\": 1, \"value\": 2.113601471845284}, \"0.8523938181588623\": {\"frequency\": 1, \"value\": 0.8523938181588623}, \"0.882060440860135\": {\"frequency\": 1, \"value\": 0.882060440860135}, \"2.0830801252342255\": {\"frequency\": 1, \"value\": 2.0830801252342255}, \"2.2794130602627485\": {\"frequency\": 1, \"value\": 2.2794130602627485}, \"2.302976458778601\": {\"frequency\": 1, \"value\": 2.302976458778601}, \"2.213063098419599\": {\"frequency\": 1, \"value\": 2.213063098419599}, \"2.320572725875427\": {\"frequency\": 1, \"value\": 2.320572725875427}, \"0.9219214612028984\": {\"frequency\": 1, \"value\": 0.9219214612028984}, \"1.3919124010411537\": {\"frequency\": 1, \"value\": 1.3919124010411537}, \"1.2603692459129996\": {\"frequency\": 1, \"value\": 1.2603692459129996}, \"0.9016539783972944\": {\"frequency\": 1, \"value\": 0.9016539783972944}, \"2.1728104600995297\": {\"frequency\": 1, \"value\": 2.1728104600995297}, \"1.9550346877459697\": {\"frequency\": 1, \"value\": 1.9550346877459697}, \"1.0810408160645777\": {\"frequency\": 1, \"value\": 1.0810408160645777}, \"2.2596043944652444\": {\"frequency\": 1, \"value\": 2.2596043944652444}, \"0.8267662401985055\": {\"frequency\": 1, \"value\": 0.8267662401985055}, \"1.1872215100219394\": {\"frequency\": 1, \"value\": 1.1872215100219394}, \"1.8476853223486882\": {\"frequency\": 1, \"value\": 1.8476853223486882}, \"1.310448636009712\": {\"frequency\": 1, \"value\": 1.310448636009712}, \"1.3426685443298734\": {\"frequency\": 1, \"value\": 1.3426685443298734}, \"1.8374014022891845\": {\"frequency\": 1, \"value\": 1.8374014022891845}, \"1.1734814822709836\": {\"frequency\": 1, \"value\": 1.1734814822709836}, \"2.031791734825129\": {\"frequency\": 1, \"value\": 2.031791734825129}, \"2.0156422362184303\": {\"frequency\": 1, \"value\": 2.0156422362184303}, \"0.7864515977961787\": {\"frequency\": 1, \"value\": 0.7864515977961787}, \"1.155498071166382\": {\"frequency\": 1, \"value\": 1.155498071166382}, \"2.13282880987173\": {\"frequency\": 1, \"value\": 2.13282880987173}, \"0.6647992387340047\": {\"frequency\": 1, \"value\": 0.6647992387340047}, \"0.9640150328375299\": {\"frequency\": 1, \"value\": 0.9640150328375299}, \"1.4520645665620888\": {\"frequency\": 1, \"value\": 1.4520645665620888}, \"2.0209428058866568\": {\"frequency\": 1, \"value\": 2.0209428058866568}, \"0.7597596961965222\": {\"frequency\": 1, \"value\": 0.7597596961965222}, \"1.9884486883242574\": {\"frequency\": 1, \"value\": 1.9884486883242574}, \"0.9813951711111554\": {\"frequency\": 1, \"value\": 0.9813951711111554}, \"1.070053183912406\": {\"frequency\": 1, \"value\": 1.070053183912406}, \"1.008507814805958\": {\"frequency\": 1, \"value\": 1.008507814805958}, \"1.0867877936460577\": {\"frequency\": 1, \"value\": 1.0867877936460577}, \"0.9353085055033152\": {\"frequency\": 1, \"value\": 0.9353085055033152}, \"0.7794187574089261\": {\"frequency\": 1, \"value\": 0.7794187574089261}, \"2.114921783458515\": {\"frequency\": 1, \"value\": 2.114921783458515}, \"2.038062311518788\": {\"frequency\": 1, \"value\": 2.038062311518788}, \"0.5553193695551146\": {\"frequency\": 1, \"value\": 0.5553193695551146}, \"0.8848424060373867\": {\"frequency\": 1, \"value\": 0.8848424060373867}, \"1.0964161217344401\": {\"frequency\": 1, \"value\": 1.0964161217344401}, \"2.136900221371838\": {\"frequency\": 1, \"value\": 2.136900221371838}, \"1.9642821815825342\": {\"frequency\": 1, \"value\": 1.9642821815825342}, \"0.6918884056258612\": {\"frequency\": 1, \"value\": 0.6918884056258612}, \"1.094801573455406\": {\"frequency\": 1, \"value\": 1.094801573455406}, \"1.763942878729762\": {\"frequency\": 1, \"value\": 1.763942878729762}, \"1.7622110089592526\": {\"frequency\": 1, \"value\": 1.7622110089592526}, \"1.8829137591444454\": {\"frequency\": 1, \"value\": 1.8829137591444454}, \"1.06338852238497\": {\"frequency\": 1, \"value\": 1.06338852238497}, \"0.9697285583404605\": {\"frequency\": 1, \"value\": 0.9697285583404605}, \"2.2027944308224323\": {\"frequency\": 1, \"value\": 2.2027944308224323}, \"1.82220572838091\": {\"frequency\": 1, \"value\": 1.82220572838091}, \"1.1295935582019776\": {\"frequency\": 1, \"value\": 1.1295935582019776}, \"1.9165141087316024\": {\"frequency\": 1, \"value\": 1.9165141087316024}, \"1.1888958973980828\": {\"frequency\": 1, \"value\": 1.1888958973980828}, \"1.9283771849040288\": {\"frequency\": 1, \"value\": 1.9283771849040288}, \"1.0004770395830471\": {\"frequency\": 1, \"value\": 1.0004770395830471}, \"0.5358811448418517\": {\"frequency\": 1, \"value\": 0.5358811448418517}, \"1.0809523624080994\": {\"frequency\": 1, \"value\": 1.0809523624080994}, \"1.2797124184251072\": {\"frequency\": 1, \"value\": 1.2797124184251072}, \"0.8102134378300473\": {\"frequency\": 1, \"value\": 0.8102134378300473}, \"1.7582852692533557\": {\"frequency\": 1, \"value\": 1.7582852692533557}, \"2.2140145024141953\": {\"frequency\": 1, \"value\": 2.2140145024141953}, \"1.4580934141061077\": {\"frequency\": 1, \"value\": 1.4580934141061077}, \"2.115391178679731\": {\"frequency\": 1, \"value\": 2.115391178679731}, \"0.6676303265563499\": {\"frequency\": 1, \"value\": 0.6676303265563499}, \"2.0188384600620295\": {\"frequency\": 1, \"value\": 2.0188384600620295}, \"2.17092854574249\": {\"frequency\": 1, \"value\": 2.17092854574249}, \"2.018165185407265\": {\"frequency\": 1, \"value\": 2.018165185407265}, \"0.8580429799761001\": {\"frequency\": 1, \"value\": 0.8580429799761001}, \"0.7159964125642049\": {\"frequency\": 1, \"value\": 0.7159964125642049}, \"0.6959921429615872\": {\"frequency\": 1, \"value\": 0.6959921429615872}, \"1.8979940920488767\": {\"frequency\": 1, \"value\": 1.8979940920488767}, \"0.9249555198478654\": {\"frequency\": 1, \"value\": 0.9249555198478654}, \"1.197935888387178\": {\"frequency\": 1, \"value\": 1.197935888387178}, \"0.8659748204545407\": {\"frequency\": 1, \"value\": 0.8659748204545407}, \"0.977154889709964\": {\"frequency\": 1, \"value\": 0.977154889709964}, \"0.8020354900905762\": {\"frequency\": 1, \"value\": 0.8020354900905762}, \"1.122075875821441\": {\"frequency\": 1, \"value\": 1.122075875821441}, \"2.2658125693079363\": {\"frequency\": 1, \"value\": 2.2658125693079363}, \"1.8172810980045786\": {\"frequency\": 1, \"value\": 1.8172810980045786}, \"1.227277615507948\": {\"frequency\": 1, \"value\": 1.227277615507948}, \"1.1705659536548736\": {\"frequency\": 1, \"value\": 1.1705659536548736}, \"0.9589683472468398\": {\"frequency\": 1, \"value\": 0.9589683472468398}, \"0.915734482535064\": {\"frequency\": 1, \"value\": 0.915734482535064}, \"1.1555208275805824\": {\"frequency\": 1, \"value\": 1.1555208275805824}, \"1.931190874230075\": {\"frequency\": 1, \"value\": 1.931190874230075}, \"1.9551815265874142\": {\"frequency\": 1, \"value\": 1.9551815265874142}, \"1.7989711138086657\": {\"frequency\": 1, \"value\": 1.7989711138086657}, \"1.7768206028079212\": {\"frequency\": 1, \"value\": 1.7768206028079212}, \"2.4679249612040115\": {\"frequency\": 1, \"value\": 2.4679249612040115}, \"1.9487366212620714\": {\"frequency\": 1, \"value\": 1.9487366212620714}, \"1.7082118538805349\": {\"frequency\": 1, \"value\": 1.7082118538805349}, \"1.8871364180635022\": {\"frequency\": 1, \"value\": 1.8871364180635022}, \"2.0710963585487536\": {\"frequency\": 1, \"value\": 2.0710963585487536}, \"2.0426034334859775\": {\"frequency\": 1, \"value\": 2.0426034334859775}, \"0.964936719534596\": {\"frequency\": 1, \"value\": 0.964936719534596}, \"2.2688148749346855\": {\"frequency\": 1, \"value\": 2.2688148749346855}, \"2.047806720249353\": {\"frequency\": 1, \"value\": 2.047806720249353}, \"1.7984180393432203\": {\"frequency\": 1, \"value\": 1.7984180393432203}, \"0.6678600376261473\": {\"frequency\": 1, \"value\": 0.6678600376261473}, \"1.097403065196076\": {\"frequency\": 1, \"value\": 1.097403065196076}, \"1.095206276687623\": {\"frequency\": 1, \"value\": 1.095206276687623}, \"1.1440067518683306\": {\"frequency\": 1, \"value\": 1.1440067518683306}, \"0.9983580235460772\": {\"frequency\": 1, \"value\": 0.9983580235460772}, \"0.6834628716394422\": {\"frequency\": 1, \"value\": 0.6834628716394422}, \"2.014657086401529\": {\"frequency\": 1, \"value\": 2.014657086401529}, \"2.1579809883570986\": {\"frequency\": 1, \"value\": 2.1579809883570986}, \"1.7480807662400557\": {\"frequency\": 1, \"value\": 1.7480807662400557}, \"1.0822668485795217\": {\"frequency\": 1, \"value\": 1.0822668485795217}, \"1.5673804703207748\": {\"frequency\": 1, \"value\": 1.5673804703207748}, \"1.938646844794599\": {\"frequency\": 1, \"value\": 1.938646844794599}, \"0.7293222283704572\": {\"frequency\": 1, \"value\": 0.7293222283704572}, \"2.1569915042481\": {\"frequency\": 1, \"value\": 2.1569915042481}, \"1.0267825845230951\": {\"frequency\": 1, \"value\": 1.0267825845230951}, \"1.3148742474951143\": {\"frequency\": 1, \"value\": 1.3148742474951143}, \"1.114525403441017\": {\"frequency\": 1, \"value\": 1.114525403441017}, \"2.031340771054473\": {\"frequency\": 1, \"value\": 2.031340771054473}, \"1.1734553257616855\": {\"frequency\": 1, \"value\": 1.1734553257616855}, \"1.9869023249711033\": {\"frequency\": 1, \"value\": 1.9869023249711033}, \"2.0476400384044076\": {\"frequency\": 1, \"value\": 2.0476400384044076}, \"2.48249073590875\": {\"frequency\": 1, \"value\": 2.48249073590875}, \"2.3316261359236377\": {\"frequency\": 1, \"value\": 2.3316261359236377}, \"0.7877555425108181\": {\"frequency\": 1, \"value\": 0.7877555425108181}, \"1.308602919081347\": {\"frequency\": 1, \"value\": 1.308602919081347}, \"1.0280991814878953\": {\"frequency\": 1, \"value\": 1.0280991814878953}, \"0.8519726418520973\": {\"frequency\": 1, \"value\": 0.8519726418520973}, \"1.0344678278458377\": {\"frequency\": 1, \"value\": 1.0344678278458377}, \"1.1584082996845948\": {\"frequency\": 1, \"value\": 1.1584082996845948}, \"1.9106327492674757\": {\"frequency\": 1, \"value\": 1.9106327492674757}, \"1.8115812822253767\": {\"frequency\": 1, \"value\": 1.8115812822253767}, \"2.0156520350323324\": {\"frequency\": 1, \"value\": 2.0156520350323324}, \"0.9217565895651967\": {\"frequency\": 1, \"value\": 0.9217565895651967}, \"1.9815775770616089\": {\"frequency\": 1, \"value\": 1.9815775770616089}, \"2.0818589993281913\": {\"frequency\": 1, \"value\": 2.0818589993281913}, \"1.917923641268426\": {\"frequency\": 1, \"value\": 1.917923641268426}, \"2.1327930151052445\": {\"frequency\": 1, \"value\": 2.1327930151052445}, \"2.0187906458771137\": {\"frequency\": 1, \"value\": 2.0187906458771137}, \"1.9785389447417652\": {\"frequency\": 1, \"value\": 1.9785389447417652}, \"1.7774188210256767\": {\"frequency\": 1, \"value\": 1.7774188210256767}, \"1.9413029890221245\": {\"frequency\": 1, \"value\": 1.9413029890221245}, \"0.8505090377118485\": {\"frequency\": 1, \"value\": 0.8505090377118485}, \"1.924089175870828\": {\"frequency\": 1, \"value\": 1.924089175870828}, \"1.8866793950724592\": {\"frequency\": 1, \"value\": 1.8866793950724592}, \"2.1649236439276933\": {\"frequency\": 1, \"value\": 2.1649236439276933}, \"1.981121498717763\": {\"frequency\": 1, \"value\": 1.981121498717763}, \"0.9205456371342404\": {\"frequency\": 1, \"value\": 0.9205456371342404}, \"0.8094710094369224\": {\"frequency\": 1, \"value\": 0.8094710094369224}, \"2.100868715032599\": {\"frequency\": 1, \"value\": 2.100868715032599}, \"1.2034041982826489\": {\"frequency\": 1, \"value\": 1.2034041982826489}, \"0.9218093249624798\": {\"frequency\": 1, \"value\": 0.9218093249624798}, \"0.9934007039470668\": {\"frequency\": 1, \"value\": 0.9934007039470668}, \"1.139287734678288\": {\"frequency\": 1, \"value\": 1.139287734678288}, \"1.6864464551383092\": {\"frequency\": 1, \"value\": 1.6864464551383092}, \"1.19016673940076\": {\"frequency\": 1, \"value\": 1.19016673940076}, \"0.8557137408856488\": {\"frequency\": 1, \"value\": 0.8557137408856488}, \"0.9489058427624462\": {\"frequency\": 1, \"value\": 0.9489058427624462}, \"1.9385736559682631\": {\"frequency\": 1, \"value\": 1.9385736559682631}, \"0.6092642874761187\": {\"frequency\": 1, \"value\": 0.6092642874761187}, \"0.8669916763682618\": {\"frequency\": 1, \"value\": 0.8669916763682618}, \"0.7488450236516997\": {\"frequency\": 1, \"value\": 0.7488450236516997}, \"1.8812445104442665\": {\"frequency\": 1, \"value\": 1.8812445104442665}, \"0.5860029949972935\": {\"frequency\": 1, \"value\": 0.5860029949972935}, \"0.8174433011729416\": {\"frequency\": 1, \"value\": 0.8174433011729416}, \"2.5518710228043164\": {\"frequency\": 1, \"value\": 2.5518710228043164}, \"2.165997231816221\": {\"frequency\": 1, \"value\": 2.165997231816221}, \"1.0834087005935207\": {\"frequency\": 1, \"value\": 1.0834087005935207}, \"1.163094393848012\": {\"frequency\": 1, \"value\": 1.163094393848012}, \"2.0976741180859313\": {\"frequency\": 1, \"value\": 2.0976741180859313}, \"1.0750039839640306\": {\"frequency\": 1, \"value\": 1.0750039839640306}, \"0.8440153502149994\": {\"frequency\": 1, \"value\": 0.8440153502149994}, \"0.718887990521622\": {\"frequency\": 1, \"value\": 0.718887990521622}, \"1.7685965438368263\": {\"frequency\": 1, \"value\": 1.7685965438368263}, \"0.8448671784120059\": {\"frequency\": 1, \"value\": 0.8448671784120059}, \"1.3258551539917725\": {\"frequency\": 1, \"value\": 1.3258551539917725}, \"1.128442188665885\": {\"frequency\": 1, \"value\": 1.128442188665885}, \"2.105400841690932\": {\"frequency\": 1, \"value\": 2.105400841690932}, \"1.2908071497678335\": {\"frequency\": 1, \"value\": 1.2908071497678335}, \"1.227378272520539\": {\"frequency\": 1, \"value\": 1.227378272520539}, \"1.7020133983557015\": {\"frequency\": 1, \"value\": 1.7020133983557015}, \"2.1179407211149446\": {\"frequency\": 1, \"value\": 2.1179407211149446}, \"1.0944494300175698\": {\"frequency\": 1, \"value\": 1.0944494300175698}, \"0.9783992326438085\": {\"frequency\": 1, \"value\": 0.9783992326438085}, \"2.0679929967602524\": {\"frequency\": 1, \"value\": 2.0679929967602524}, \"2.364544720025592\": {\"frequency\": 1, \"value\": 2.364544720025592}, \"1.9835931693709032\": {\"frequency\": 1, \"value\": 1.9835931693709032}, \"1.9602569876658402\": {\"frequency\": 1, \"value\": 1.9602569876658402}, \"0.8905288851402667\": {\"frequency\": 1, \"value\": 0.8905288851402667}, \"1.017190394686877\": {\"frequency\": 1, \"value\": 1.017190394686877}, \"0.6251373006517864\": {\"frequency\": 1, \"value\": 0.6251373006517864}, \"1.7760743532639092\": {\"frequency\": 1, \"value\": 1.7760743532639092}, \"1.0200318816181246\": {\"frequency\": 1, \"value\": 1.0200318816181246}, \"0.7945406245849075\": {\"frequency\": 1, \"value\": 0.7945406245849075}, \"0.974686133672122\": {\"frequency\": 1, \"value\": 0.974686133672122}, \"1.8069786783871165\": {\"frequency\": 1, \"value\": 1.8069786783871165}, \"2.360242798161707\": {\"frequency\": 1, \"value\": 2.360242798161707}, \"0.852413643951754\": {\"frequency\": 1, \"value\": 0.852413643951754}, \"0.8577387280514422\": {\"frequency\": 1, \"value\": 0.8577387280514422}, \"1.9819512300668498\": {\"frequency\": 1, \"value\": 1.9819512300668498}, \"2.177372937316552\": {\"frequency\": 1, \"value\": 2.177372937316552}, \"1.0773804995718523\": {\"frequency\": 1, \"value\": 1.0773804995718523}, \"0.7101764778526138\": {\"frequency\": 1, \"value\": 0.7101764778526138}, \"0.6082902089726923\": {\"frequency\": 1, \"value\": 0.6082902089726923}, \"0.7547607616433962\": {\"frequency\": 1, \"value\": 0.7547607616433962}, \"1.8399835047830797\": {\"frequency\": 1, \"value\": 1.8399835047830797}, \"0.7898692326825021\": {\"frequency\": 1, \"value\": 0.7898692326825021}, \"1.8801551445080562\": {\"frequency\": 1, \"value\": 1.8801551445080562}, \"1.9012146585828158\": {\"frequency\": 1, \"value\": 1.9012146585828158}, \"2.4422608666478984\": {\"frequency\": 1, \"value\": 2.4422608666478984}, \"1.8842163720113585\": {\"frequency\": 1, \"value\": 1.8842163720113585}, \"1.9375415497748614\": {\"frequency\": 1, \"value\": 1.9375415497748614}, \"1.2387223361498396\": {\"frequency\": 1, \"value\": 1.2387223361498396}, \"0.9196472515746998\": {\"frequency\": 1, \"value\": 0.9196472515746998}, \"0.9191935412298126\": {\"frequency\": 1, \"value\": 0.9191935412298126}, \"0.9763658431266816\": {\"frequency\": 1, \"value\": 0.9763658431266816}, \"2.193489230010047\": {\"frequency\": 1, \"value\": 2.193489230010047}, \"1.1761022398354222\": {\"frequency\": 1, \"value\": 1.1761022398354222}, \"1.9745865674322967\": {\"frequency\": 1, \"value\": 1.9745865674322967}, \"1.146036706225923\": {\"frequency\": 1, \"value\": 1.146036706225923}, \"2.3718692667703256\": {\"frequency\": 1, \"value\": 2.3718692667703256}, \"2.142357053619409\": {\"frequency\": 1, \"value\": 2.142357053619409}, \"0.9213693610491774\": {\"frequency\": 1, \"value\": 0.9213693610491774}, \"2.1059667566949916\": {\"frequency\": 1, \"value\": 2.1059667566949916}, \"0.8584988604978846\": {\"frequency\": 1, \"value\": 0.8584988604978846}, \"1.2342082129240977\": {\"frequency\": 1, \"value\": 1.2342082129240977}, \"0.9734023155380817\": {\"frequency\": 1, \"value\": 0.9734023155380817}, \"2.049320437252267\": {\"frequency\": 1, \"value\": 2.049320437252267}, \"1.0534101738698365\": {\"frequency\": 1, \"value\": 1.0534101738698365}, \"1.0865675242999988\": {\"frequency\": 1, \"value\": 1.0865675242999988}, \"0.985542598487999\": {\"frequency\": 1, \"value\": 0.985542598487999}, \"1.827191001779526\": {\"frequency\": 1, \"value\": 1.827191001779526}, \"1.0966683703561144\": {\"frequency\": 1, \"value\": 1.0966683703561144}, \"0.7879968354556905\": {\"frequency\": 1, \"value\": 0.7879968354556905}, \"1.971086636613253\": {\"frequency\": 1, \"value\": 1.971086636613253}, \"1.3641878548179351\": {\"frequency\": 1, \"value\": 1.3641878548179351}, \"0.8505053643869241\": {\"frequency\": 1, \"value\": 0.8505053643869241}, \"2.4571202363056135\": {\"frequency\": 1, \"value\": 2.4571202363056135}, \"2.1311848822745003\": {\"frequency\": 1, \"value\": 2.1311848822745003}, \"2.232830353244993\": {\"frequency\": 1, \"value\": 2.232830353244993}, \"1.8921090733250998\": {\"frequency\": 1, \"value\": 1.8921090733250998}, \"2.467481932295655\": {\"frequency\": 1, \"value\": 2.467481932295655}, \"0.6576059671811557\": {\"frequency\": 1, \"value\": 0.6576059671811557}, \"1.1417390546220854\": {\"frequency\": 1, \"value\": 1.1417390546220854}, \"2.1134116425040363\": {\"frequency\": 1, \"value\": 2.1134116425040363}, \"1.8736192483989664\": {\"frequency\": 1, \"value\": 1.8736192483989664}, \"0.9894865407460908\": {\"frequency\": 1, \"value\": 0.9894865407460908}, \"0.99476155253115\": {\"frequency\": 1, \"value\": 0.99476155253115}, \"2.0040668363410488\": {\"frequency\": 1, \"value\": 2.0040668363410488}, \"1.0184895470939617\": {\"frequency\": 1, \"value\": 1.0184895470939617}, \"1.1538860356354608\": {\"frequency\": 1, \"value\": 1.1538860356354608}, \"1.9980685526934183\": {\"frequency\": 1, \"value\": 1.9980685526934183}, \"2.1009630912681003\": {\"frequency\": 1, \"value\": 2.1009630912681003}, \"0.8070787151587472\": {\"frequency\": 1, \"value\": 0.8070787151587472}, \"2.251833425922163\": {\"frequency\": 1, \"value\": 2.251833425922163}, \"1.8878037993736487\": {\"frequency\": 1, \"value\": 1.8878037993736487}, \"0.9992474365709952\": {\"frequency\": 1, \"value\": 0.9992474365709952}, \"1.2468288071560123\": {\"frequency\": 1, \"value\": 1.2468288071560123}, \"1.8053248064886502\": {\"frequency\": 1, \"value\": 1.8053248064886502}, \"1.1431877786873983\": {\"frequency\": 1, \"value\": 1.1431877786873983}, \"1.7008640967485968\": {\"frequency\": 1, \"value\": 1.7008640967485968}, \"1.1045115203997624\": {\"frequency\": 1, \"value\": 1.1045115203997624}, \"2.2229924645894803\": {\"frequency\": 1, \"value\": 2.2229924645894803}, \"1.6767051622697935\": {\"frequency\": 1, \"value\": 1.6767051622697935}, \"2.077456095079013\": {\"frequency\": 1, \"value\": 2.077456095079013}, \"1.0104330158521948\": {\"frequency\": 1, \"value\": 1.0104330158521948}, \"1.4046943899539948\": {\"frequency\": 1, \"value\": 1.4046943899539948}, \"1.8384703024767288\": {\"frequency\": 1, \"value\": 1.8384703024767288}, \"1.8678782812046015\": {\"frequency\": 1, \"value\": 1.8678782812046015}, \"2.02450626353066\": {\"frequency\": 1, \"value\": 2.02450626353066}, \"1.3085592676586104\": {\"frequency\": 1, \"value\": 1.3085592676586104}, \"1.7661808505355945\": {\"frequency\": 1, \"value\": 1.7661808505355945}, \"1.7451361264531167\": {\"frequency\": 1, \"value\": 1.7451361264531167}, \"2.0001799853342215\": {\"frequency\": 1, \"value\": 2.0001799853342215}, \"2.0764405575570586\": {\"frequency\": 1, \"value\": 2.0764405575570586}, \"2.1715323820244903\": {\"frequency\": 1, \"value\": 2.1715323820244903}, \"1.2719897083358969\": {\"frequency\": 1, \"value\": 1.2719897083358969}, \"1.9644373712593974\": {\"frequency\": 1, \"value\": 1.9644373712593974}, \"0.8921734726494019\": {\"frequency\": 1, \"value\": 0.8921734726494019}, \"2.2109515850360566\": {\"frequency\": 1, \"value\": 2.2109515850360566}, \"1.123291862525231\": {\"frequency\": 1, \"value\": 1.123291862525231}, \"2.209818637584002\": {\"frequency\": 1, \"value\": 2.209818637584002}, \"2.0481575019483875\": {\"frequency\": 1, \"value\": 2.0481575019483875}, \"1.851569567669923\": {\"frequency\": 1, \"value\": 1.851569567669923}, \"2.1317604283383025\": {\"frequency\": 1, \"value\": 2.1317604283383025}, \"1.8031581995454302\": {\"frequency\": 1, \"value\": 1.8031581995454302}, \"2.3096133602757476\": {\"frequency\": 1, \"value\": 2.3096133602757476}, \"2.1705778194537757\": {\"frequency\": 1, \"value\": 2.1705778194537757}, \"2.1306074566812856\": {\"frequency\": 1, \"value\": 2.1306074566812856}, \"0.6444666090532587\": {\"frequency\": 1, \"value\": 0.6444666090532587}, \"1.84157699588697\": {\"frequency\": 1, \"value\": 1.84157699588697}, \"1.913513604284311\": {\"frequency\": 1, \"value\": 1.913513604284311}, \"2.2778290631355853\": {\"frequency\": 1, \"value\": 2.2778290631355853}, \"1.1327123153182763\": {\"frequency\": 1, \"value\": 1.1327123153182763}, \"1.1389498287312012\": {\"frequency\": 1, \"value\": 1.1389498287312012}, \"2.049229557736969\": {\"frequency\": 1, \"value\": 2.049229557736969}, \"2.062963440903165\": {\"frequency\": 1, \"value\": 2.062963440903165}, \"1.8312768786928146\": {\"frequency\": 1, \"value\": 1.8312768786928146}, \"2.0727395785426728\": {\"frequency\": 1, \"value\": 2.0727395785426728}, \"1.705535414306702\": {\"frequency\": 1, \"value\": 1.705535414306702}, \"2.1402082682330192\": {\"frequency\": 1, \"value\": 2.1402082682330192}, \"2.2247810611228878\": {\"frequency\": 1, \"value\": 2.2247810611228878}, \"1.0832100092522852\": {\"frequency\": 1, \"value\": 1.0832100092522852}, \"1.0606022100912316\": {\"frequency\": 1, \"value\": 1.0606022100912316}, \"1.9680853123707467\": {\"frequency\": 1, \"value\": 1.9680853123707467}, \"1.811945952808559\": {\"frequency\": 1, \"value\": 1.811945952808559}, \"1.0800314416734447\": {\"frequency\": 1, \"value\": 1.0800314416734447}, \"1.2764363776786278\": {\"frequency\": 1, \"value\": 1.2764363776786278}, \"2.185320953661721\": {\"frequency\": 1, \"value\": 2.185320953661721}, \"0.8347122922681971\": {\"frequency\": 1, \"value\": 0.8347122922681971}, \"2.0597954912238037\": {\"frequency\": 1, \"value\": 2.0597954912238037}, \"1.9327452281828843\": {\"frequency\": 1, \"value\": 1.9327452281828843}, \"2.265828256549111\": {\"frequency\": 1, \"value\": 2.265828256549111}, \"1.8324447481229589\": {\"frequency\": 1, \"value\": 1.8324447481229589}, \"2.2263623913656905\": {\"frequency\": 1, \"value\": 2.2263623913656905}, \"1.0209623216144563\": {\"frequency\": 1, \"value\": 1.0209623216144563}, \"2.0161439780867734\": {\"frequency\": 1, \"value\": 2.0161439780867734}, \"1.983880296769975\": {\"frequency\": 1, \"value\": 1.983880296769975}, \"1.8912611940634447\": {\"frequency\": 1, \"value\": 1.8912611940634447}, \"1.0745752017704875\": {\"frequency\": 1, \"value\": 1.0745752017704875}, \"1.9728380314712628\": {\"frequency\": 1, \"value\": 1.9728380314712628}, \"1.8713484796422521\": {\"frequency\": 1, \"value\": 1.8713484796422521}, \"0.9765050907163777\": {\"frequency\": 1, \"value\": 0.9765050907163777}, \"0.9455447797709838\": {\"frequency\": 1, \"value\": 0.9455447797709838}, \"2.2419674444368196\": {\"frequency\": 1, \"value\": 2.2419674444368196}, \"0.6511624486892089\": {\"frequency\": 1, \"value\": 0.6511624486892089}, \"0.8007574719257867\": {\"frequency\": 1, \"value\": 0.8007574719257867}, \"1.4069525088042307\": {\"frequency\": 1, \"value\": 1.4069525088042307}, \"2.1215985018812793\": {\"frequency\": 1, \"value\": 2.1215985018812793}, \"1.1586014141394854\": {\"frequency\": 1, \"value\": 1.1586014141394854}, \"0.9013360233275611\": {\"frequency\": 1, \"value\": 0.9013360233275611}, \"1.8821226596042862\": {\"frequency\": 1, \"value\": 1.8821226596042862}, \"1.0057241008375566\": {\"frequency\": 1, \"value\": 1.0057241008375566}, \"1.9152423502901048\": {\"frequency\": 1, \"value\": 1.9152423502901048}, \"2.178494777466306\": {\"frequency\": 1, \"value\": 2.178494777466306}, \"1.062289414310831\": {\"frequency\": 1, \"value\": 1.062289414310831}, \"1.7683593629631942\": {\"frequency\": 1, \"value\": 1.7683593629631942}, \"0.9179900613594902\": {\"frequency\": 1, \"value\": 0.9179900613594902}, \"1.721698946119156\": {\"frequency\": 1, \"value\": 1.721698946119156}, \"1.9566537058848923\": {\"frequency\": 1, \"value\": 1.9566537058848923}, \"1.1791111971102648\": {\"frequency\": 1, \"value\": 1.1791111971102648}, \"0.9860716843106129\": {\"frequency\": 1, \"value\": 0.9860716843106129}, \"2.099170133793086\": {\"frequency\": 1, \"value\": 2.099170133793086}, \"0.8979414520732742\": {\"frequency\": 1, \"value\": 0.8979414520732742}, \"0.7430895404014946\": {\"frequency\": 1, \"value\": 0.7430895404014946}, \"0.9193081633158398\": {\"frequency\": 1, \"value\": 0.9193081633158398}, \"2.054883399056402\": {\"frequency\": 1, \"value\": 2.054883399056402}, \"2.0758471067071174\": {\"frequency\": 1, \"value\": 2.0758471067071174}, \"1.1363189036563255\": {\"frequency\": 1, \"value\": 1.1363189036563255}, \"2.0641998932369785\": {\"frequency\": 1, \"value\": 2.0641998932369785}, \"0.7731376812555545\": {\"frequency\": 1, \"value\": 0.7731376812555545}, \"0.7473863301795449\": {\"frequency\": 1, \"value\": 0.7473863301795449}, \"0.9917198376884065\": {\"frequency\": 1, \"value\": 0.9917198376884065}, \"1.9885914264675624\": {\"frequency\": 1, \"value\": 1.9885914264675624}, \"1.1270062873784212\": {\"frequency\": 1, \"value\": 1.1270062873784212}, \"1.1078498382583635\": {\"frequency\": 1, \"value\": 1.1078498382583635}, \"1.2085955189292752\": {\"frequency\": 1, \"value\": 1.2085955189292752}, \"1.8784225107436092\": {\"frequency\": 1, \"value\": 1.8784225107436092}, \"1.8255683204458355\": {\"frequency\": 1, \"value\": 1.8255683204458355}, \"0.8583229895323785\": {\"frequency\": 1, \"value\": 0.8583229895323785}, \"2.1724296113768533\": {\"frequency\": 1, \"value\": 2.1724296113768533}, \"2.408414429965391\": {\"frequency\": 1, \"value\": 2.408414429965391}, \"2.0307288921631335\": {\"frequency\": 1, \"value\": 2.0307288921631335}, \"1.8633120466422637\": {\"frequency\": 1, \"value\": 1.8633120466422637}, \"2.339193906602834\": {\"frequency\": 1, \"value\": 2.339193906602834}, \"0.8810700460559189\": {\"frequency\": 1, \"value\": 0.8810700460559189}, \"0.7994662825260418\": {\"frequency\": 1, \"value\": 0.7994662825260418}, \"0.961364659690032\": {\"frequency\": 1, \"value\": 0.961364659690032}, \"0.7692099272695981\": {\"frequency\": 1, \"value\": 0.7692099272695981}, \"1.019550160484437\": {\"frequency\": 1, \"value\": 1.019550160484437}, \"1.1352866589893\": {\"frequency\": 1, \"value\": 1.1352866589893}, \"0.9577123418308887\": {\"frequency\": 1, \"value\": 0.9577123418308887}, \"1.0607207808924002\": {\"frequency\": 1, \"value\": 1.0607207808924002}, \"1.0201734126514623\": {\"frequency\": 1, \"value\": 1.0201734126514623}, \"0.9771329680255246\": {\"frequency\": 1, \"value\": 0.9771329680255246}, \"0.9417917073453949\": {\"frequency\": 1, \"value\": 0.9417917073453949}, \"0.9229020479248784\": {\"frequency\": 1, \"value\": 0.9229020479248784}, \"1.9531568397310928\": {\"frequency\": 1, \"value\": 1.9531568397310928}, \"1.056011572007536\": {\"frequency\": 1, \"value\": 1.056011572007536}, \"2.0567539108766693\": {\"frequency\": 1, \"value\": 2.0567539108766693}, \"2.092162895429766\": {\"frequency\": 1, \"value\": 2.092162895429766}, \"2.1535804815465407\": {\"frequency\": 1, \"value\": 2.1535804815465407}, \"0.7041368040073492\": {\"frequency\": 1, \"value\": 0.7041368040073492}, \"1.0900577661294688\": {\"frequency\": 1, \"value\": 1.0900577661294688}, \"0.7928504547609574\": {\"frequency\": 1, \"value\": 0.7928504547609574}, \"2.0292881540956498\": {\"frequency\": 1, \"value\": 2.0292881540956498}, \"1.0743622162994988\": {\"frequency\": 1, \"value\": 1.0743622162994988}, \"0.7814206787347939\": {\"frequency\": 1, \"value\": 0.7814206787347939}, \"0.6571907767902008\": {\"frequency\": 1, \"value\": 0.6571907767902008}, \"1.2048329865546141\": {\"frequency\": 1, \"value\": 1.2048329865546141}, \"1.9700216816533722\": {\"frequency\": 1, \"value\": 1.9700216816533722}, \"1.9235949102099232\": {\"frequency\": 1, \"value\": 1.9235949102099232}, \"2.1792496850712317\": {\"frequency\": 1, \"value\": 2.1792496850712317}, \"1.0899424200463985\": {\"frequency\": 1, \"value\": 1.0899424200463985}, \"1.0925564511051549\": {\"frequency\": 1, \"value\": 1.0925564511051549}, \"1.7562632340045605\": {\"frequency\": 1, \"value\": 1.7562632340045605}, \"0.9123051083930788\": {\"frequency\": 1, \"value\": 0.9123051083930788}, \"1.0194501753955572\": {\"frequency\": 1, \"value\": 1.0194501753955572}, \"1.997044556068031\": {\"frequency\": 1, \"value\": 1.997044556068031}, \"1.1761875122161944\": {\"frequency\": 1, \"value\": 1.1761875122161944}, \"1.9635510432420114\": {\"frequency\": 1, \"value\": 1.9635510432420114}, \"0.9093325135722966\": {\"frequency\": 1, \"value\": 0.9093325135722966}}, \"mean\": 1.496998273742256}, \"0\": {\"std\": 1.426111305356069, \"complete\": true, \"min\": 0.46816555240065183, \"max\": 5.437723735764568, \"quantile\": [0.46816555240065183, 0.6603788361135491, 0.7414286180553102, 0.7858494756978915, 0.8182473508081893, 0.8541910682410608, 0.8712763194334219, 0.900393509861539, 0.9225346365184095, 0.946399325809724, 0.9737891976917176, 0.9951347751202129, 1.031301307593075, 1.0626135403301802, 1.0926260658637215, 1.134458951402487, 1.1643171424099592, 1.1886092174645035, 1.236275720257657, 1.347774535490902, 1.539244810512716, 1.7076534623477184, 1.7913741003929289, 1.824167874232985, 1.8475770976155004, 1.8817194664383778, 1.9150673395134268, 1.9376047784167574, 1.9712840976567358, 1.9889294903955221, 2.010190855402258, 2.041969895584611, 2.0501996232016646, 2.0719008799142022, 2.096223025277767, 2.1354924338692824, 2.1640643594522846, 2.202368486598838, 2.2652923284731386, 2.329700802053636, 2.5052736480711997, 2.6723152748516417, 2.7154410182747313, 2.779553961818582, 2.8085705053697967, 2.84064493873874, 2.88215420269797, 2.909183927496879, 2.9346878044641587, 2.982976879496119, 3.0050771208812916, 3.0210464274118554, 3.041017325046371, 3.0638863666663063, 3.088569222749348, 3.1133090631636424, 3.1548321219637634, 3.183444308423171, 3.22073879149243, 3.321704431189745, 3.484189850962105, 3.6607737466336916, 3.727411810558398, 3.7986881870411526, 3.8445543915689733, 3.869668758188444, 3.9020549955253947, 3.9204175802818315, 3.946398043320378, 3.971462457585307, 3.9911720562304387, 4.006109316208123, 4.037940522415999, 4.064671306296051, 4.089442417490966, 4.107687400070907, 4.143933634107467, 4.1937488786222294, 4.260636192329686, 4.311022806411813, 4.529271920061917, 4.694473610364245, 4.735894930634394, 4.7808657542054975, 4.817375692486236, 4.850995356638462, 4.889840114858632, 4.918029092312036, 4.9397810426953175, 4.964572523336935, 4.991080121454885, 5.025910904109244, 5.0481993464090245, 5.080862868665799, 5.112402621182836, 5.133878494278508, 5.158776072461676, 5.187359043250797, 5.220456512917605, 5.265792149510645, 5.437723735764568], \"median\": 3.0050771208812916, \"numeric\": true, \"num_unique\": 1499, \"num_undefined\": 0, \"var\": 2.033793455264391, \"progress\": 1.0, \"size\": 1500, \"frequent_items\": {\"1.8475770976155004\": {\"frequency\": 1, \"value\": 1.8475770976155004}, \"0.8541910682410608\": {\"frequency\": 1, \"value\": 0.8541910682410608}, \"4.718708068979273\": {\"frequency\": 1, \"value\": 4.718708068979273}, \"3.067645094737023\": {\"frequency\": 1, \"value\": 3.067645094737023}, \"4.910192571710607\": {\"frequency\": 1, \"value\": 4.910192571710607}, \"3.880665828892338\": {\"frequency\": 1, \"value\": 3.880665828892338}, \"3.1635723662369992\": {\"frequency\": 1, \"value\": 3.1635723662369992}, \"1.8500619310594206\": {\"frequency\": 1, \"value\": 1.8500619310594206}, \"1.391182461650139\": {\"frequency\": 1, \"value\": 1.391182461650139}, \"4.780380407927488\": {\"frequency\": 1, \"value\": 4.780380407927488}, \"4.987972422899263\": {\"frequency\": 1, \"value\": 4.987972422899263}, \"1.9398432247047945\": {\"frequency\": 1, \"value\": 1.9398432247047945}, \"1.8134518178411243\": {\"frequency\": 1, \"value\": 1.8134518178411243}, \"3.948753460400912\": {\"frequency\": 1, \"value\": 3.948753460400912}, \"2.0501996232016646\": {\"frequency\": 1, \"value\": 2.0501996232016646}, \"2.6630965489150236\": {\"frequency\": 1, \"value\": 2.6630965489150236}, \"2.401077427954476\": {\"frequency\": 1, \"value\": 2.401077427954476}, \"3.0572025053956238\": {\"frequency\": 1, \"value\": 3.0572025053956238}, \"0.7549128962339664\": {\"frequency\": 1, \"value\": 0.7549128962339664}, \"2.0932332852068063\": {\"frequency\": 1, \"value\": 2.0932332852068063}, \"2.6615259125051782\": {\"frequency\": 1, \"value\": 2.6615259125051782}, \"4.931352989108979\": {\"frequency\": 1, \"value\": 4.931352989108979}, \"3.0385457992999454\": {\"frequency\": 1, \"value\": 3.0385457992999454}, \"2.2655565391915964\": {\"frequency\": 1, \"value\": 2.2655565391915964}, \"1.9304076288158307\": {\"frequency\": 1, \"value\": 1.9304076288158307}, \"3.8018658138745702\": {\"frequency\": 1, \"value\": 3.8018658138745702}, \"5.048922072265895\": {\"frequency\": 1, \"value\": 5.048922072265895}, \"2.7991354575570773\": {\"frequency\": 1, \"value\": 2.7991354575570773}, \"1.6796327902054926\": {\"frequency\": 1, \"value\": 1.6796327902054926}, \"2.5188849175536303\": {\"frequency\": 1, \"value\": 2.5188849175536303}, \"3.946398043320378\": {\"frequency\": 1, \"value\": 3.946398043320378}, \"3.0595028707909893\": {\"frequency\": 1, \"value\": 3.0595028707909893}, \"5.135988801223191\": {\"frequency\": 1, \"value\": 5.135988801223191}, \"1.9779021189868145\": {\"frequency\": 1, \"value\": 1.9779021189868145}, \"2.0882065814546302\": {\"frequency\": 1, \"value\": 2.0882065814546302}, \"3.2078192880756786\": {\"frequency\": 1, \"value\": 3.2078192880756786}, \"3.79634413488663\": {\"frequency\": 1, \"value\": 3.79634413488663}, \"0.851049035590312\": {\"frequency\": 1, \"value\": 0.851049035590312}, \"2.0696338470483617\": {\"frequency\": 1, \"value\": 2.0696338470483617}, \"2.990331075244036\": {\"frequency\": 1, \"value\": 2.990331075244036}, \"3.6323646520659976\": {\"frequency\": 1, \"value\": 3.6323646520659976}, \"2.0395934579889934\": {\"frequency\": 1, \"value\": 2.0395934579889934}, \"3.9535411985626805\": {\"frequency\": 1, \"value\": 3.9535411985626805}, \"1.9743516051944596\": {\"frequency\": 1, \"value\": 1.9743516051944596}, \"4.721031961433071\": {\"frequency\": 1, \"value\": 4.721031961433071}, \"0.5260826189546794\": {\"frequency\": 1, \"value\": 0.5260826189546794}, \"4.297356494817127\": {\"frequency\": 1, \"value\": 4.297356494817127}, \"2.2031330563084204\": {\"frequency\": 1, \"value\": 2.2031330563084204}, \"0.8373707435911092\": {\"frequency\": 1, \"value\": 0.8373707435911092}, \"4.1619481461628896\": {\"frequency\": 1, \"value\": 4.1619481461628896}, \"4.25395295006286\": {\"frequency\": 1, \"value\": 4.25395295006286}, \"2.0936770468554102\": {\"frequency\": 1, \"value\": 2.0936770468554102}, \"3.9025817136576353\": {\"frequency\": 1, \"value\": 3.9025817136576353}, \"3.6285033456810925\": {\"frequency\": 1, \"value\": 3.6285033456810925}, \"2.6903491354301914\": {\"frequency\": 1, \"value\": 2.6903491354301914}, \"1.8365013804767547\": {\"frequency\": 1, \"value\": 1.8365013804767547}, \"3.852120939497961\": {\"frequency\": 1, \"value\": 3.852120939497961}, \"3.092158865540251\": {\"frequency\": 1, \"value\": 3.092158865540251}, \"1.7156160256719126\": {\"frequency\": 1, \"value\": 1.7156160256719126}, \"2.265002810577363\": {\"frequency\": 1, \"value\": 2.265002810577363}, \"0.6603788361135491\": {\"frequency\": 1, \"value\": 0.6603788361135491}, \"0.9586192647672056\": {\"frequency\": 1, \"value\": 0.9586192647672056}, \"2.041969895584611\": {\"frequency\": 1, \"value\": 2.041969895584611}, \"4.128726255090668\": {\"frequency\": 1, \"value\": 4.128726255090668}, \"3.9598184933598146\": {\"frequency\": 1, \"value\": 3.9598184933598146}, \"0.9560917943337573\": {\"frequency\": 1, \"value\": 0.9560917943337573}, \"4.98353127064173\": {\"frequency\": 1, \"value\": 4.98353127064173}, \"5.020467169366844\": {\"frequency\": 1, \"value\": 5.020467169366844}, \"3.9705292670834313\": {\"frequency\": 1, \"value\": 3.9705292670834313}, \"5.139730046861551\": {\"frequency\": 1, \"value\": 5.139730046861551}, \"2.88215420269797\": {\"frequency\": 1, \"value\": 2.88215420269797}, \"0.990859207867953\": {\"frequency\": 1, \"value\": 0.990859207867953}, \"3.066106548646983\": {\"frequency\": 1, \"value\": 3.066106548646983}, \"1.9269889566907485\": {\"frequency\": 1, \"value\": 1.9269889566907485}, \"4.111859796278177\": {\"frequency\": 1, \"value\": 4.111859796278177}, \"4.0999293910223935\": {\"frequency\": 1, \"value\": 4.0999293910223935}, \"1.9092391917895997\": {\"frequency\": 1, \"value\": 1.9092391917895997}, \"0.9594206318466666\": {\"frequency\": 1, \"value\": 0.9594206318466666}, \"1.0804683282355099\": {\"frequency\": 1, \"value\": 1.0804683282355099}, \"2.8936012381177676\": {\"frequency\": 1, \"value\": 2.8936012381177676}, \"2.134114090062182\": {\"frequency\": 1, \"value\": 2.134114090062182}, \"2.798937625530228\": {\"frequency\": 1, \"value\": 2.798937625530228}, \"2.1111925359419597\": {\"frequency\": 1, \"value\": 2.1111925359419597}, \"1.0077261103680377\": {\"frequency\": 1, \"value\": 1.0077261103680377}, \"5.077800428130696\": {\"frequency\": 1, \"value\": 5.077800428130696}, \"4.916953720835669\": {\"frequency\": 1, \"value\": 4.916953720835669}, \"2.0953796737844446\": {\"frequency\": 1, \"value\": 2.0953796737844446}, \"1.134458951402487\": {\"frequency\": 1, \"value\": 1.134458951402487}, \"1.0852517461556201\": {\"frequency\": 1, \"value\": 1.0852517461556201}, \"0.9270612911216629\": {\"frequency\": 1, \"value\": 0.9270612911216629}, \"1.841542667638771\": {\"frequency\": 1, \"value\": 1.841542667638771}, \"4.065275017945398\": {\"frequency\": 1, \"value\": 4.065275017945398}, \"5.020112840619433\": {\"frequency\": 1, \"value\": 5.020112840619433}, \"0.790949326770609\": {\"frequency\": 1, \"value\": 0.790949326770609}, \"4.771203860080252\": {\"frequency\": 1, \"value\": 4.771203860080252}, \"5.2162111888174145\": {\"frequency\": 1, \"value\": 5.2162111888174145}, \"4.691415710569142\": {\"frequency\": 1, \"value\": 4.691415710569142}, \"2.982976879496119\": {\"frequency\": 1, \"value\": 2.982976879496119}, \"1.373511792085314\": {\"frequency\": 1, \"value\": 1.373511792085314}, \"4.747701650641877\": {\"frequency\": 1, \"value\": 4.747701650641877}, \"3.9428081697029653\": {\"frequency\": 1, \"value\": 3.9428081697029653}, \"5.099378628967694\": {\"frequency\": 1, \"value\": 5.099378628967694}, \"4.002037103742414\": {\"frequency\": 1, \"value\": 4.002037103742414}, \"2.8033763632508584\": {\"frequency\": 1, \"value\": 2.8033763632508584}, \"4.006109316208123\": {\"frequency\": 1, \"value\": 4.006109316208123}, \"5.020435665388794\": {\"frequency\": 1, \"value\": 5.020435665388794}, \"0.8615900304431218\": {\"frequency\": 1, \"value\": 0.8615900304431218}, \"3.9132891334533664\": {\"frequency\": 1, \"value\": 3.9132891334533664}, \"2.8774748522250126\": {\"frequency\": 1, \"value\": 2.8774748522250126}, \"3.6172514658276986\": {\"frequency\": 1, \"value\": 3.6172514658276986}, \"0.7494409279900147\": {\"frequency\": 1, \"value\": 0.7494409279900147}, \"4.524114769203647\": {\"frequency\": 1, \"value\": 4.524114769203647}, \"4.101333805205678\": {\"frequency\": 1, \"value\": 4.101333805205678}, \"1.263827375260315\": {\"frequency\": 1, \"value\": 1.263827375260315}, \"4.9739553667066545\": {\"frequency\": 1, \"value\": 4.9739553667066545}, \"1.0626135403301802\": {\"frequency\": 1, \"value\": 1.0626135403301802}, \"0.8393180671652318\": {\"frequency\": 1, \"value\": 0.8393180671652318}, \"0.9381974061905756\": {\"frequency\": 1, \"value\": 0.9381974061905756}, \"2.7494813316993363\": {\"frequency\": 1, \"value\": 2.7494813316993363}, \"3.1133090631636424\": {\"frequency\": 1, \"value\": 3.1133090631636424}, \"2.143996746028633\": {\"frequency\": 1, \"value\": 2.143996746028633}, \"2.6689311923380643\": {\"frequency\": 1, \"value\": 2.6689311923380643}, \"2.6339942899144377\": {\"frequency\": 1, \"value\": 2.6339942899144377}, \"3.9322635629109204\": {\"frequency\": 1, \"value\": 3.9322635629109204}, \"3.005501940405967\": {\"frequency\": 1, \"value\": 3.005501940405967}, \"3.7605144608722867\": {\"frequency\": 1, \"value\": 3.7605144608722867}, \"4.3421673165093315\": {\"frequency\": 1, \"value\": 4.3421673165093315}, \"1.8468595611043828\": {\"frequency\": 1, \"value\": 1.8468595611043828}, \"4.710306627350402\": {\"frequency\": 1, \"value\": 4.710306627350402}, \"1.9001966724011634\": {\"frequency\": 1, \"value\": 1.9001966724011634}, \"1.079201342532329\": {\"frequency\": 1, \"value\": 1.079201342532329}, \"3.7567846838508276\": {\"frequency\": 1, \"value\": 3.7567846838508276}, \"3.7986881870411526\": {\"frequency\": 1, \"value\": 3.7986881870411526}, \"2.2785036898868545\": {\"frequency\": 1, \"value\": 2.2785036898868545}, \"4.140717110928677\": {\"frequency\": 1, \"value\": 4.140717110928677}, \"0.46816555240065183\": {\"frequency\": 1, \"value\": 0.46816555240065183}, \"2.8369448677727083\": {\"frequency\": 1, \"value\": 2.8369448677727083}, \"4.53724537736556\": {\"frequency\": 1, \"value\": 4.53724537736556}, \"2.843939118699692\": {\"frequency\": 1, \"value\": 2.843939118699692}, \"5.112402621182836\": {\"frequency\": 1, \"value\": 5.112402621182836}, \"1.816399046036191\": {\"frequency\": 1, \"value\": 1.816399046036191}, \"1.898928336547118\": {\"frequency\": 1, \"value\": 1.898928336547118}, \"1.6722385385755645\": {\"frequency\": 1, \"value\": 1.6722385385755645}, \"2.006617950227752\": {\"frequency\": 1, \"value\": 2.006617950227752}, \"2.779553961818582\": {\"frequency\": 1, \"value\": 2.779553961818582}, \"2.9039501930010148\": {\"frequency\": 1, \"value\": 2.9039501930010148}, \"3.6607737466336916\": {\"frequency\": 1, \"value\": 3.6607737466336916}, \"3.0569581198268727\": {\"frequency\": 1, \"value\": 3.0569581198268727}, \"4.997309706128522\": {\"frequency\": 1, \"value\": 4.997309706128522}, \"4.114157705876314\": {\"frequency\": 1, \"value\": 4.114157705876314}, \"4.852562966085817\": {\"frequency\": 1, \"value\": 4.852562966085817}, \"4.19764811474854\": {\"frequency\": 1, \"value\": 4.19764811474854}, \"1.1863696748228607\": {\"frequency\": 1, \"value\": 1.1863696748228607}, \"0.9040688371984105\": {\"frequency\": 1, \"value\": 0.9040688371984105}, \"2.8372808005810985\": {\"frequency\": 1, \"value\": 2.8372808005810985}, \"5.265141591864874\": {\"frequency\": 1, \"value\": 5.265141591864874}, \"0.9737891976917176\": {\"frequency\": 1, \"value\": 0.9737891976917176}, \"1.9865448782154036\": {\"frequency\": 1, \"value\": 1.9865448782154036}, \"3.8577428488779124\": {\"frequency\": 1, \"value\": 3.8577428488779124}, \"4.868057750558066\": {\"frequency\": 1, \"value\": 4.868057750558066}, \"3.902034356230547\": {\"frequency\": 1, \"value\": 3.902034356230547}, \"1.7546756681206768\": {\"frequency\": 1, \"value\": 1.7546756681206768}, \"5.0945579312043865\": {\"frequency\": 1, \"value\": 5.0945579312043865}, \"0.8373271481591594\": {\"frequency\": 1, \"value\": 0.8373271481591594}, \"4.707652331556655\": {\"frequency\": 1, \"value\": 4.707652331556655}, \"0.8679887359731834\": {\"frequency\": 1, \"value\": 0.8679887359731834}, \"1.9953153789957097\": {\"frequency\": 1, \"value\": 1.9953153789957097}, \"3.838256493604093\": {\"frequency\": 1, \"value\": 3.838256493604093}, \"3.846230168065038\": {\"frequency\": 1, \"value\": 3.846230168065038}, \"3.9244906161881423\": {\"frequency\": 1, \"value\": 3.9244906161881423}, \"3.1868359496999448\": {\"frequency\": 1, \"value\": 3.1868359496999448}, \"1.9188116545623033\": {\"frequency\": 1, \"value\": 1.9188116545623033}, \"4.0814260662166495\": {\"frequency\": 1, \"value\": 4.0814260662166495}, \"5.082120358264009\": {\"frequency\": 1, \"value\": 5.082120358264009}, \"0.8682894066389992\": {\"frequency\": 1, \"value\": 0.8682894066389992}, \"3.5960919829226556\": {\"frequency\": 1, \"value\": 3.5960919829226556}, \"1.0327857144905173\": {\"frequency\": 1, \"value\": 1.0327857144905173}, \"2.843526606619582\": {\"frequency\": 1, \"value\": 2.843526606619582}, \"4.119060061538459\": {\"frequency\": 1, \"value\": 4.119060061538459}, \"0.765375318977168\": {\"frequency\": 1, \"value\": 0.765375318977168}, \"2.8954761167203045\": {\"frequency\": 1, \"value\": 2.8954761167203045}, \"2.9488084661571463\": {\"frequency\": 1, \"value\": 2.9488084661571463}, \"4.820518099273732\": {\"frequency\": 1, \"value\": 4.820518099273732}, \"4.299543005463913\": {\"frequency\": 1, \"value\": 4.299543005463913}, \"2.908471881142095\": {\"frequency\": 1, \"value\": 2.908471881142095}, \"4.091916980966811\": {\"frequency\": 1, \"value\": 4.091916980966811}, \"1.6515287604381539\": {\"frequency\": 1, \"value\": 1.6515287604381539}, \"3.484189850962105\": {\"frequency\": 1, \"value\": 3.484189850962105}, \"1.1751665523174661\": {\"frequency\": 1, \"value\": 1.1751665523174661}, \"5.133878494278508\": {\"frequency\": 1, \"value\": 5.133878494278508}, \"3.903721475190473\": {\"frequency\": 1, \"value\": 3.903721475190473}, \"3.208017249010741\": {\"frequency\": 1, \"value\": 3.208017249010741}, \"2.9921464017924095\": {\"frequency\": 1, \"value\": 2.9921464017924095}, \"3.771619716159231\": {\"frequency\": 1, \"value\": 3.771619716159231}, \"1.432647189856138\": {\"frequency\": 1, \"value\": 1.432647189856138}, \"3.8154353370006344\": {\"frequency\": 1, \"value\": 3.8154353370006344}, \"2.8454456234043595\": {\"frequency\": 1, \"value\": 2.8454456234043595}, \"0.7459030003028533\": {\"frequency\": 1, \"value\": 0.7459030003028533}, \"3.4306239585141167\": {\"frequency\": 1, \"value\": 3.4306239585141167}, \"1.9653072205854243\": {\"frequency\": 1, \"value\": 1.9653072205854243}, \"3.8518266591591854\": {\"frequency\": 1, \"value\": 3.8518266591591854}, \"4.892745971182643\": {\"frequency\": 1, \"value\": 4.892745971182643}, \"1.599156856900217\": {\"frequency\": 1, \"value\": 1.599156856900217}, \"3.8277568893202716\": {\"frequency\": 1, \"value\": 3.8277568893202716}, \"1.0426960097820337\": {\"frequency\": 1, \"value\": 1.0426960097820337}, \"1.0021000041441641\": {\"frequency\": 1, \"value\": 1.0021000041441641}, \"2.3157730388832976\": {\"frequency\": 1, \"value\": 2.3157730388832976}, \"3.9399986681976484\": {\"frequency\": 1, \"value\": 3.9399986681976484}, \"4.2108355817877845\": {\"frequency\": 1, \"value\": 4.2108355817877845}, \"1.9796605450890257\": {\"frequency\": 1, \"value\": 1.9796605450890257}, \"4.746731464607409\": {\"frequency\": 1, \"value\": 4.746731464607409}, \"2.0448504441931363\": {\"frequency\": 1, \"value\": 2.0448504441931363}, \"3.2118054508883933\": {\"frequency\": 1, \"value\": 3.2118054508883933}, \"3.843062517714111\": {\"frequency\": 1, \"value\": 3.843062517714111}, \"4.848100901914187\": {\"frequency\": 1, \"value\": 4.848100901914187}, \"0.9304175701347694\": {\"frequency\": 1, \"value\": 0.9304175701347694}, \"1.7110119601853255\": {\"frequency\": 1, \"value\": 1.7110119601853255}, \"0.9921434363545009\": {\"frequency\": 1, \"value\": 0.9921434363545009}, \"1.6995206861236574\": {\"frequency\": 1, \"value\": 1.6995206861236574}, \"2.0024463967277635\": {\"frequency\": 1, \"value\": 2.0024463967277635}, \"4.107687400070907\": {\"frequency\": 1, \"value\": 4.107687400070907}, \"3.98726770224209\": {\"frequency\": 1, \"value\": 3.98726770224209}, \"3.0294868803301944\": {\"frequency\": 1, \"value\": 3.0294868803301944}, \"0.8610864280537269\": {\"frequency\": 1, \"value\": 0.8610864280537269}, \"5.150205060837954\": {\"frequency\": 1, \"value\": 5.150205060837954}, \"2.0230295746280182\": {\"frequency\": 1, \"value\": 2.0230295746280182}, \"1.0703560221362716\": {\"frequency\": 1, \"value\": 1.0703560221362716}, \"2.7154410182747313\": {\"frequency\": 1, \"value\": 2.7154410182747313}, \"4.141771915073428\": {\"frequency\": 1, \"value\": 4.141771915073428}, \"3.944203678939394\": {\"frequency\": 1, \"value\": 3.944203678939394}, \"1.0074011443820299\": {\"frequency\": 1, \"value\": 1.0074011443820299}, \"4.311402008306432\": {\"frequency\": 1, \"value\": 4.311402008306432}, \"5.034874609740305\": {\"frequency\": 1, \"value\": 5.034874609740305}, \"2.329700802053636\": {\"frequency\": 1, \"value\": 2.329700802053636}, \"3.9436849138399794\": {\"frequency\": 1, \"value\": 3.9436849138399794}, \"4.898592673574911\": {\"frequency\": 1, \"value\": 4.898592673574911}, \"1.1629039644975734\": {\"frequency\": 1, \"value\": 1.1629039644975734}, \"0.9292012177493032\": {\"frequency\": 1, \"value\": 0.9292012177493032}, \"3.6954463818991625\": {\"frequency\": 1, \"value\": 3.6954463818991625}, \"2.044768712662582\": {\"frequency\": 1, \"value\": 2.044768712662582}, \"5.216534456418213\": {\"frequency\": 1, \"value\": 5.216534456418213}, \"2.0538048146352494\": {\"frequency\": 1, \"value\": 2.0538048146352494}, \"5.027749050258036\": {\"frequency\": 1, \"value\": 5.027749050258036}, \"2.073508979204454\": {\"frequency\": 1, \"value\": 2.073508979204454}, \"4.050454156122425\": {\"frequency\": 1, \"value\": 4.050454156122425}, \"2.1665301478928956\": {\"frequency\": 1, \"value\": 2.1665301478928956}, \"1.8124239537697098\": {\"frequency\": 1, \"value\": 1.8124239537697098}, \"4.3828459394125625\": {\"frequency\": 1, \"value\": 4.3828459394125625}, \"2.121422334383209\": {\"frequency\": 1, \"value\": 2.121422334383209}, \"1.122815874069216\": {\"frequency\": 1, \"value\": 1.122815874069216}, \"2.9288097013906387\": {\"frequency\": 1, \"value\": 2.9288097013906387}, \"2.4445281709145132\": {\"frequency\": 1, \"value\": 2.4445281709145132}, \"3.7386956954154797\": {\"frequency\": 1, \"value\": 3.7386956954154797}, \"0.8460167851109367\": {\"frequency\": 1, \"value\": 0.8460167851109367}, \"1.8705637136304478\": {\"frequency\": 1, \"value\": 1.8705637136304478}, \"4.009227011791137\": {\"frequency\": 1, \"value\": 4.009227011791137}, \"4.081910355647539\": {\"frequency\": 1, \"value\": 4.081910355647539}, \"4.881848569418008\": {\"frequency\": 1, \"value\": 4.881848569418008}, \"1.7280438548992372\": {\"frequency\": 1, \"value\": 1.7280438548992372}, \"3.120827348088537\": {\"frequency\": 1, \"value\": 3.120827348088537}, \"5.059155817701377\": {\"frequency\": 1, \"value\": 5.059155817701377}, \"1.2200568676440748\": {\"frequency\": 1, \"value\": 1.2200568676440748}, \"3.1245038280609996\": {\"frequency\": 1, \"value\": 3.1245038280609996}, \"1.8817194664383778\": {\"frequency\": 1, \"value\": 1.8817194664383778}, \"3.102583369365555\": {\"frequency\": 1, \"value\": 3.102583369365555}, \"4.286313551489858\": {\"frequency\": 1, \"value\": 4.286313551489858}, \"3.9330756788091756\": {\"frequency\": 1, \"value\": 3.9330756788091756}, \"3.0198409725063007\": {\"frequency\": 1, \"value\": 3.0198409725063007}, \"0.9778918685535055\": {\"frequency\": 1, \"value\": 0.9778918685535055}, \"1.9928463856279557\": {\"frequency\": 1, \"value\": 1.9928463856279557}, \"4.039565633569974\": {\"frequency\": 1, \"value\": 4.039565633569974}, \"0.9448658930878886\": {\"frequency\": 1, \"value\": 0.9448658930878886}, \"2.2866705005763985\": {\"frequency\": 1, \"value\": 2.2866705005763985}, \"3.8458431398586868\": {\"frequency\": 1, \"value\": 3.8458431398586868}, \"2.5052736480711997\": {\"frequency\": 1, \"value\": 2.5052736480711997}, \"3.6553543498567356\": {\"frequency\": 1, \"value\": 3.6553543498567356}, \"2.683501104403648\": {\"frequency\": 1, \"value\": 2.683501104403648}, \"0.7331483057194492\": {\"frequency\": 1, \"value\": 0.7331483057194492}, \"1.230466312956624\": {\"frequency\": 1, \"value\": 1.230466312956624}, \"1.329626986441512\": {\"frequency\": 1, \"value\": 1.329626986441512}, \"2.303751867392716\": {\"frequency\": 1, \"value\": 2.303751867392716}, \"1.8484258279149668\": {\"frequency\": 1, \"value\": 1.8484258279149668}, \"2.8372411033537386\": {\"frequency\": 1, \"value\": 2.8372411033537386}, \"3.8335627931699876\": {\"frequency\": 1, \"value\": 3.8335627931699876}, \"2.9876513397084197\": {\"frequency\": 1, \"value\": 2.9876513397084197}, \"3.2196607081465025\": {\"frequency\": 1, \"value\": 3.2196607081465025}, \"2.036785098868062\": {\"frequency\": 1, \"value\": 2.036785098868062}, \"1.6108593833672082\": {\"frequency\": 1, \"value\": 1.6108593833672082}, \"3.7199487583744117\": {\"frequency\": 1, \"value\": 3.7199487583744117}, \"3.028361327830691\": {\"frequency\": 1, \"value\": 3.028361327830691}, \"1.1643171424099592\": {\"frequency\": 1, \"value\": 1.1643171424099592}, \"2.0731697575833716\": {\"frequency\": 1, \"value\": 2.0731697575833716}, \"4.820022704651303\": {\"frequency\": 1, \"value\": 4.820022704651303}, \"4.155004652644834\": {\"frequency\": 1, \"value\": 4.155004652644834}, \"4.931501561949911\": {\"frequency\": 1, \"value\": 4.931501561949911}, \"3.0331727045307075\": {\"frequency\": 1, \"value\": 3.0331727045307075}, \"4.091230607165411\": {\"frequency\": 1, \"value\": 4.091230607165411}, \"3.080779204167195\": {\"frequency\": 1, \"value\": 3.080779204167195}, \"2.0134984514481613\": {\"frequency\": 1, \"value\": 2.0134984514481613}, \"4.005249323572317\": {\"frequency\": 1, \"value\": 4.005249323572317}, \"4.6999343248042855\": {\"frequency\": 1, \"value\": 4.6999343248042855}, \"1.9977708776316319\": {\"frequency\": 1, \"value\": 1.9977708776316319}, \"3.847527692654478\": {\"frequency\": 1, \"value\": 3.847527692654478}, \"3.971462457585307\": {\"frequency\": 1, \"value\": 3.971462457585307}, \"2.1511480577789084\": {\"frequency\": 1, \"value\": 2.1511480577789084}, \"2.2822344127779224\": {\"frequency\": 1, \"value\": 2.2822344127779224}, \"3.0318500936747403\": {\"frequency\": 1, \"value\": 3.0318500936747403}, \"3.082818270758719\": {\"frequency\": 1, \"value\": 3.082818270758719}, \"1.893459441604089\": {\"frequency\": 1, \"value\": 1.893459441604089}, \"4.003298297396173\": {\"frequency\": 1, \"value\": 4.003298297396173}, \"4.216108825405097\": {\"frequency\": 1, \"value\": 4.216108825405097}, \"5.2566910072533055\": {\"frequency\": 1, \"value\": 5.2566910072533055}, \"3.8421795639486698\": {\"frequency\": 1, \"value\": 3.8421795639486698}, \"3.638949662273916\": {\"frequency\": 1, \"value\": 3.638949662273916}, \"2.9193623386300933\": {\"frequency\": 1, \"value\": 2.9193623386300933}, \"2.364383019572081\": {\"frequency\": 1, \"value\": 2.364383019572081}, \"1.635148668812434\": {\"frequency\": 1, \"value\": 1.635148668812434}, \"4.721596816688393\": {\"frequency\": 1, \"value\": 4.721596816688393}, \"1.075285106231126\": {\"frequency\": 1, \"value\": 1.075285106231126}, \"1.0887726465490852\": {\"frequency\": 1, \"value\": 1.0887726465490852}, \"0.9684665967672368\": {\"frequency\": 1, \"value\": 0.9684665967672368}, \"1.915537035174946\": {\"frequency\": 1, \"value\": 1.915537035174946}, \"4.226401026735466\": {\"frequency\": 1, \"value\": 4.226401026735466}, \"4.215407494589507\": {\"frequency\": 1, \"value\": 4.215407494589507}, \"3.0263823511574826\": {\"frequency\": 1, \"value\": 3.0263823511574826}, \"0.886137589305963\": {\"frequency\": 1, \"value\": 0.886137589305963}, \"3.7340216277331875\": {\"frequency\": 1, \"value\": 3.7340216277331875}, \"3.8445543915689733\": {\"frequency\": 1, \"value\": 3.8445543915689733}, \"0.8695412800129961\": {\"frequency\": 1, \"value\": 0.8695412800129961}, \"2.970246769553264\": {\"frequency\": 1, \"value\": 2.970246769553264}, \"3.999916534717476\": {\"frequency\": 1, \"value\": 3.999916534717476}, \"4.481322287051658\": {\"frequency\": 1, \"value\": 4.481322287051658}, \"3.8301854254612677\": {\"frequency\": 1, \"value\": 3.8301854254612677}, \"0.5967186744400479\": {\"frequency\": 1, \"value\": 0.5967186744400479}, \"4.774682114825601\": {\"frequency\": 1, \"value\": 4.774682114825601}, \"2.8714094893294217\": {\"frequency\": 1, \"value\": 2.8714094893294217}, \"2.9139076176228413\": {\"frequency\": 1, \"value\": 2.9139076176228413}, \"4.325329912460316\": {\"frequency\": 1, \"value\": 4.325329912460316}, \"1.812203685464443\": {\"frequency\": 1, \"value\": 1.812203685464443}, \"0.581079385758771\": {\"frequency\": 1, \"value\": 0.581079385758771}, \"1.3735115980299935\": {\"frequency\": 1, \"value\": 1.3735115980299935}, \"0.7858494756978915\": {\"frequency\": 1, \"value\": 0.7858494756978915}, \"1.9007795332034876\": {\"frequency\": 1, \"value\": 1.9007795332034876}, \"2.284596699303221\": {\"frequency\": 1, \"value\": 2.284596699303221}, \"3.6671654029667655\": {\"frequency\": 1, \"value\": 3.6671654029667655}, \"3.1046523477376153\": {\"frequency\": 1, \"value\": 3.1046523477376153}, \"1.1286628930125855\": {\"frequency\": 1, \"value\": 1.1286628930125855}, \"4.162690449022821\": {\"frequency\": 1, \"value\": 4.162690449022821}, \"5.028821297024646\": {\"frequency\": 1, \"value\": 5.028821297024646}, \"4.143933634107467\": {\"frequency\": 1, \"value\": 4.143933634107467}, \"2.723913849538546\": {\"frequency\": 1, \"value\": 2.723913849538546}, \"4.788285620478926\": {\"frequency\": 1, \"value\": 4.788285620478926}, \"2.776610089250655\": {\"frequency\": 1, \"value\": 2.776610089250655}, \"3.1662702115969537\": {\"frequency\": 1, \"value\": 3.1662702115969537}, \"3.8942658682129023\": {\"frequency\": 1, \"value\": 3.8942658682129023}, \"4.767110309225907\": {\"frequency\": 1, \"value\": 4.767110309225907}, \"1.1683262528147274\": {\"frequency\": 1, \"value\": 1.1683262528147274}, \"5.061240679260742\": {\"frequency\": 1, \"value\": 5.061240679260742}, \"0.9951347751202129\": {\"frequency\": 1, \"value\": 0.9951347751202129}, \"0.691840597111075\": {\"frequency\": 1, \"value\": 0.691840597111075}, \"0.8914277047966565\": {\"frequency\": 1, \"value\": 0.8914277047966565}, \"3.975270074821594\": {\"frequency\": 1, \"value\": 3.975270074821594}, \"1.8908576051964436\": {\"frequency\": 1, \"value\": 1.8908576051964436}, \"1.8664559427281202\": {\"frequency\": 1, \"value\": 1.8664559427281202}, \"3.038642710646739\": {\"frequency\": 1, \"value\": 3.038642710646739}, \"4.014535579820758\": {\"frequency\": 1, \"value\": 4.014535579820758}, \"0.4894020368331843\": {\"frequency\": 1, \"value\": 0.4894020368331843}, \"1.1533326363290173\": {\"frequency\": 1, \"value\": 1.1533326363290173}, \"4.7613484333051925\": {\"frequency\": 1, \"value\": 4.7613484333051925}, \"4.989978508241942\": {\"frequency\": 1, \"value\": 4.989978508241942}, \"5.027997693477372\": {\"frequency\": 1, \"value\": 5.027997693477372}, \"4.6388127474793155\": {\"frequency\": 1, \"value\": 4.6388127474793155}, \"2.1210240168164334\": {\"frequency\": 1, \"value\": 2.1210240168164334}, \"4.735894930634394\": {\"frequency\": 1, \"value\": 4.735894930634394}, \"3.0932759148763957\": {\"frequency\": 1, \"value\": 3.0932759148763957}, \"5.163306975954754\": {\"frequency\": 1, \"value\": 5.163306975954754}, \"3.153754128879895\": {\"frequency\": 1, \"value\": 3.153754128879895}, \"0.9476709108578198\": {\"frequency\": 1, \"value\": 0.9476709108578198}, \"4.753890790870923\": {\"frequency\": 1, \"value\": 4.753890790870923}, \"5.027206243474875\": {\"frequency\": 1, \"value\": 5.027206243474875}, \"4.529271920061917\": {\"frequency\": 1, \"value\": 4.529271920061917}, \"5.027812830060936\": {\"frequency\": 1, \"value\": 5.027812830060936}, \"0.6637563569011133\": {\"frequency\": 1, \"value\": 0.6637563569011133}, \"2.216275206891638\": {\"frequency\": 1, \"value\": 2.216275206891638}, \"4.814527414385407\": {\"frequency\": 1, \"value\": 4.814527414385407}, \"3.9332418079292872\": {\"frequency\": 1, \"value\": 3.9332418079292872}, \"2.0578241010557625\": {\"frequency\": 1, \"value\": 2.0578241010557625}, \"3.825067495602231\": {\"frequency\": 1, \"value\": 3.825067495602231}, \"2.8680114589795327\": {\"frequency\": 1, \"value\": 2.8680114589795327}, \"2.2442769918918395\": {\"frequency\": 1, \"value\": 2.2442769918918395}, \"2.784131366795001\": {\"frequency\": 1, \"value\": 2.784131366795001}, \"0.9732596880663121\": {\"frequency\": 1, \"value\": 0.9732596880663121}, \"1.6623539944457135\": {\"frequency\": 1, \"value\": 1.6623539944457135}, \"3.780342113735051\": {\"frequency\": 1, \"value\": 3.780342113735051}, \"2.688400294363321\": {\"frequency\": 1, \"value\": 2.688400294363321}, \"0.9230709153714964\": {\"frequency\": 1, \"value\": 0.9230709153714964}, \"2.7096188941136505\": {\"frequency\": 1, \"value\": 2.7096188941136505}, \"5.2353573924767725\": {\"frequency\": 1, \"value\": 5.2353573924767725}, \"4.0055524263251\": {\"frequency\": 1, \"value\": 4.0055524263251}, \"2.927777373052027\": {\"frequency\": 1, \"value\": 2.927777373052027}, \"2.0649739231592372\": {\"frequency\": 1, \"value\": 2.0649739231592372}, \"1.154281189735369\": {\"frequency\": 1, \"value\": 1.154281189735369}, \"3.4902459438150153\": {\"frequency\": 1, \"value\": 3.4902459438150153}, \"3.0482407928437905\": {\"frequency\": 1, \"value\": 3.0482407928437905}, \"4.82873943460095\": {\"frequency\": 1, \"value\": 4.82873943460095}, \"2.8552142591882794\": {\"frequency\": 1, \"value\": 2.8552142591882794}, \"2.096223025277767\": {\"frequency\": 1, \"value\": 2.096223025277767}, \"4.924364390621402\": {\"frequency\": 1, \"value\": 4.924364390621402}, \"1.9791313017010614\": {\"frequency\": 1, \"value\": 1.9791313017010614}, \"3.0430480935279225\": {\"frequency\": 1, \"value\": 3.0430480935279225}, \"0.9062271624066409\": {\"frequency\": 1, \"value\": 0.9062271624066409}, \"4.091232722271027\": {\"frequency\": 1, \"value\": 4.091232722271027}, \"2.3185541508834966\": {\"frequency\": 1, \"value\": 2.3185541508834966}, \"2.0110342709560465\": {\"frequency\": 1, \"value\": 2.0110342709560465}, \"2.8328287865036756\": {\"frequency\": 1, \"value\": 2.8328287865036756}, \"3.006253509405514\": {\"frequency\": 1, \"value\": 3.006253509405514}, \"4.948669972903904\": {\"frequency\": 1, \"value\": 4.948669972903904}, \"3.4342329898636335\": {\"frequency\": 1, \"value\": 3.4342329898636335}, \"4.81850680371594\": {\"frequency\": 1, \"value\": 4.81850680371594}, \"1.0987483554698376\": {\"frequency\": 1, \"value\": 1.0987483554698376}, \"2.832073510565362\": {\"frequency\": 1, \"value\": 2.832073510565362}, \"3.0960848992235572\": {\"frequency\": 1, \"value\": 3.0960848992235572}, \"1.1522075450293987\": {\"frequency\": 1, \"value\": 1.1522075450293987}, \"3.108522156699759\": {\"frequency\": 1, \"value\": 3.108522156699759}, \"5.39481998964838\": {\"frequency\": 1, \"value\": 5.39481998964838}, \"5.125799917491364\": {\"frequency\": 1, \"value\": 5.125799917491364}, \"2.063432125258538\": {\"frequency\": 1, \"value\": 2.063432125258538}, \"1.1543581102427334\": {\"frequency\": 1, \"value\": 1.1543581102427334}, \"3.1689991206001675\": {\"frequency\": 1, \"value\": 3.1689991206001675}, \"3.25211376900843\": {\"frequency\": 1, \"value\": 3.25211376900843}, \"3.1921114448914456\": {\"frequency\": 1, \"value\": 3.1921114448914456}, \"2.0593466344988225\": {\"frequency\": 1, \"value\": 2.0593466344988225}, \"1.0283906326641559\": {\"frequency\": 1, \"value\": 1.0283906326641559}, \"4.991080121454885\": {\"frequency\": 1, \"value\": 4.991080121454885}, \"1.054903271544788\": {\"frequency\": 1, \"value\": 1.054903271544788}, \"1.0091517034602893\": {\"frequency\": 1, \"value\": 1.0091517034602893}, \"1.8393717225316744\": {\"frequency\": 1, \"value\": 1.8393717225316744}, \"1.1179759641469038\": {\"frequency\": 1, \"value\": 1.1179759641469038}, \"5.289969505072244\": {\"frequency\": 1, \"value\": 5.289969505072244}, \"3.845140983902639\": {\"frequency\": 1, \"value\": 3.845140983902639}, \"5.165225141686238\": {\"frequency\": 1, \"value\": 5.165225141686238}, \"3.088569222749348\": {\"frequency\": 1, \"value\": 3.088569222749348}, \"4.021166928723356\": {\"frequency\": 1, \"value\": 4.021166928723356}, \"4.047736314186367\": {\"frequency\": 1, \"value\": 4.047736314186367}, \"3.781220988653119\": {\"frequency\": 1, \"value\": 3.781220988653119}, \"0.8978389724862254\": {\"frequency\": 1, \"value\": 0.8978389724862254}, \"4.896264262542282\": {\"frequency\": 1, \"value\": 4.896264262542282}, \"1.0765464860024536\": {\"frequency\": 1, \"value\": 1.0765464860024536}, \"4.850995356638462\": {\"frequency\": 1, \"value\": 4.850995356638462}, \"0.9193646106053641\": {\"frequency\": 1, \"value\": 0.9193646106053641}, \"0.8802692126154028\": {\"frequency\": 1, \"value\": 0.8802692126154028}, \"3.853825282809723\": {\"frequency\": 1, \"value\": 3.853825282809723}, \"1.1820357816185183\": {\"frequency\": 1, \"value\": 1.1820357816185183}, \"3.261733750470436\": {\"frequency\": 1, \"value\": 3.261733750470436}, \"1.9376047784167574\": {\"frequency\": 1, \"value\": 1.9376047784167574}, \"3.880369909496703\": {\"frequency\": 1, \"value\": 3.880369909496703}, \"3.0780729887017246\": {\"frequency\": 1, \"value\": 3.0780729887017246}, \"2.7987926284159217\": {\"frequency\": 1, \"value\": 2.7987926284159217}, \"3.869668758188444\": {\"frequency\": 1, \"value\": 3.869668758188444}, \"1.0253824185407239\": {\"frequency\": 1, \"value\": 1.0253824185407239}, \"2.8063835764670846\": {\"frequency\": 1, \"value\": 2.8063835764670846}, \"1.6899141309833037\": {\"frequency\": 1, \"value\": 1.6899141309833037}, \"2.6539447876899827\": {\"frequency\": 1, \"value\": 2.6539447876899827}, \"4.895051609007556\": {\"frequency\": 1, \"value\": 4.895051609007556}, \"3.0801771358208243\": {\"frequency\": 1, \"value\": 3.0801771358208243}, \"1.4518617901381705\": {\"frequency\": 1, \"value\": 1.4518617901381705}, \"3.0225475882471473\": {\"frequency\": 1, \"value\": 3.0225475882471473}, \"3.3549317121946665\": {\"frequency\": 1, \"value\": 3.3549317121946665}, \"3.2290524346038447\": {\"frequency\": 1, \"value\": 3.2290524346038447}, \"5.173105038134253\": {\"frequency\": 1, \"value\": 5.173105038134253}, \"3.9179562614439343\": {\"frequency\": 1, \"value\": 3.9179562614439343}, \"3.1753453547380905\": {\"frequency\": 1, \"value\": 3.1753453547380905}, \"3.2710885405188836\": {\"frequency\": 1, \"value\": 3.2710885405188836}, \"4.059015156660372\": {\"frequency\": 1, \"value\": 4.059015156660372}, \"3.1933536022332922\": {\"frequency\": 1, \"value\": 3.1933536022332922}, \"5.164415271359427\": {\"frequency\": 1, \"value\": 5.164415271359427}, \"2.1058090476668863\": {\"frequency\": 1, \"value\": 2.1058090476668863}, \"2.0841836568351315\": {\"frequency\": 1, \"value\": 2.0841836568351315}, \"2.066115351254875\": {\"frequency\": 1, \"value\": 2.066115351254875}, \"4.719533893422943\": {\"frequency\": 1, \"value\": 4.719533893422943}, \"2.1446200987475597\": {\"frequency\": 1, \"value\": 2.1446200987475597}, \"5.111009588482087\": {\"frequency\": 1, \"value\": 5.111009588482087}, \"2.1463317854060784\": {\"frequency\": 1, \"value\": 2.1463317854060784}, \"3.108024605280099\": {\"frequency\": 1, \"value\": 3.108024605280099}, \"1.079809269128026\": {\"frequency\": 1, \"value\": 1.079809269128026}, \"4.547267939792838\": {\"frequency\": 1, \"value\": 4.547267939792838}, \"2.402812030983694\": {\"frequency\": 1, \"value\": 2.402812030983694}, \"0.6834123205329836\": {\"frequency\": 1, \"value\": 0.6834123205329836}, \"2.96341900382861\": {\"frequency\": 1, \"value\": 2.96341900382861}, \"1.3039989721531546\": {\"frequency\": 1, \"value\": 1.3039989721531546}, \"3.019733490763159\": {\"frequency\": 1, \"value\": 3.019733490763159}, \"2.0568629037995887\": {\"frequency\": 1, \"value\": 2.0568629037995887}, \"0.8560791222896414\": {\"frequency\": 1, \"value\": 0.8560791222896414}, \"3.9388094849803217\": {\"frequency\": 1, \"value\": 3.9388094849803217}, \"2.1057887236833164\": {\"frequency\": 1, \"value\": 2.1057887236833164}, \"5.123830984321097\": {\"frequency\": 1, \"value\": 5.123830984321097}, \"2.761002638946268\": {\"frequency\": 1, \"value\": 2.761002638946268}, \"1.1841717647561638\": {\"frequency\": 1, \"value\": 1.1841717647561638}, \"2.84064493873874\": {\"frequency\": 1, \"value\": 2.84064493873874}, \"0.9121620956395704\": {\"frequency\": 1, \"value\": 0.9121620956395704}, \"1.987672389565557\": {\"frequency\": 1, \"value\": 1.987672389565557}, \"3.6701566051165737\": {\"frequency\": 1, \"value\": 3.6701566051165737}, \"3.9161836014384357\": {\"frequency\": 1, \"value\": 3.9161836014384357}, \"5.2358839962405295\": {\"frequency\": 1, \"value\": 5.2358839962405295}, \"4.923652982551887\": {\"frequency\": 1, \"value\": 4.923652982551887}, \"2.1649114439128474\": {\"frequency\": 1, \"value\": 2.1649114439128474}, \"3.804620922652935\": {\"frequency\": 1, \"value\": 3.804620922652935}, \"2.6817104249083936\": {\"frequency\": 1, \"value\": 2.6817104249083936}, \"2.9346878044641587\": {\"frequency\": 1, \"value\": 2.9346878044641587}, \"0.6313860899686703\": {\"frequency\": 1, \"value\": 0.6313860899686703}, \"0.8209066877612649\": {\"frequency\": 1, \"value\": 0.8209066877612649}, \"1.966048341219503\": {\"frequency\": 1, \"value\": 1.966048341219503}, \"0.8174355549111683\": {\"frequency\": 1, \"value\": 0.8174355549111683}, \"5.202433659034957\": {\"frequency\": 1, \"value\": 5.202433659034957}, \"3.9911720562304387\": {\"frequency\": 1, \"value\": 3.9911720562304387}, \"5.17854163057474\": {\"frequency\": 1, \"value\": 5.17854163057474}, \"2.333850161275394\": {\"frequency\": 1, \"value\": 2.333850161275394}, \"2.816069861987468\": {\"frequency\": 1, \"value\": 2.816069861987468}, \"4.750868373426881\": {\"frequency\": 1, \"value\": 4.750868373426881}, \"4.342810293954146\": {\"frequency\": 1, \"value\": 4.342810293954146}, \"4.9590078896539405\": {\"frequency\": 1, \"value\": 4.9590078896539405}, \"4.968538942343887\": {\"frequency\": 1, \"value\": 4.968538942343887}, \"2.0896390568846623\": {\"frequency\": 1, \"value\": 2.0896390568846623}, \"4.8249690502172164\": {\"frequency\": 1, \"value\": 4.8249690502172164}, \"4.174662367214083\": {\"frequency\": 1, \"value\": 4.174662367214083}, \"4.064671306296051\": {\"frequency\": 1, \"value\": 4.064671306296051}, \"2.369918249335927\": {\"frequency\": 1, \"value\": 2.369918249335927}, \"4.066559643480891\": {\"frequency\": 1, \"value\": 4.066559643480891}, \"4.8431557234931235\": {\"frequency\": 1, \"value\": 4.8431557234931235}, \"5.080862868665799\": {\"frequency\": 1, \"value\": 5.080862868665799}, \"0.8807371923098983\": {\"frequency\": 1, \"value\": 0.8807371923098983}, \"5.08957393282225\": {\"frequency\": 1, \"value\": 5.08957393282225}, \"3.321704431189745\": {\"frequency\": 1, \"value\": 3.321704431189745}, \"2.469329406105312\": {\"frequency\": 1, \"value\": 2.469329406105312}, \"3.017235368476024\": {\"frequency\": 1, \"value\": 3.017235368476024}, \"4.039797898881037\": {\"frequency\": 1, \"value\": 4.039797898881037}, \"1.483440673406011\": {\"frequency\": 1, \"value\": 1.483440673406011}, \"2.6761280034204917\": {\"frequency\": 1, \"value\": 2.6761280034204917}, \"1.8418953956333846\": {\"frequency\": 1, \"value\": 1.8418953956333846}, \"4.864821661199796\": {\"frequency\": 1, \"value\": 4.864821661199796}, \"5.140136021818739\": {\"frequency\": 1, \"value\": 5.140136021818739}, \"0.8728307843242238\": {\"frequency\": 1, \"value\": 0.8728307843242238}, \"2.772198361376607\": {\"frequency\": 1, \"value\": 2.772198361376607}, \"4.9318879930124275\": {\"frequency\": 1, \"value\": 4.9318879930124275}, \"5.1339124681018165\": {\"frequency\": 1, \"value\": 5.1339124681018165}, \"3.0638863666663063\": {\"frequency\": 1, \"value\": 3.0638863666663063}, \"4.933448247084955\": {\"frequency\": 1, \"value\": 4.933448247084955}, \"4.854657594803441\": {\"frequency\": 1, \"value\": 4.854657594803441}, \"4.218833398288789\": {\"frequency\": 1, \"value\": 4.218833398288789}, \"2.6383712147003497\": {\"frequency\": 1, \"value\": 2.6383712147003497}, \"3.043110610757737\": {\"frequency\": 1, \"value\": 3.043110610757737}, \"4.981746596054765\": {\"frequency\": 1, \"value\": 4.981746596054765}, \"1.9268897820027926\": {\"frequency\": 1, \"value\": 1.9268897820027926}, \"4.062224889218731\": {\"frequency\": 1, \"value\": 4.062224889218731}, \"2.9199302369973155\": {\"frequency\": 1, \"value\": 2.9199302369973155}, \"1.8684147814926408\": {\"frequency\": 1, \"value\": 1.8684147814926408}, \"2.1860816992222234\": {\"frequency\": 1, \"value\": 2.1860816992222234}, \"0.976367190974286\": {\"frequency\": 1, \"value\": 0.976367190974286}, \"4.838489191690027\": {\"frequency\": 1, \"value\": 4.838489191690027}, \"3.977511248796142\": {\"frequency\": 1, \"value\": 3.977511248796142}, \"0.7386946296529366\": {\"frequency\": 1, \"value\": 0.7386946296529366}, \"2.154134610892669\": {\"frequency\": 1, \"value\": 2.154134610892669}, \"4.9213101757628674\": {\"frequency\": 1, \"value\": 4.9213101757628674}, \"1.8161773110260113\": {\"frequency\": 1, \"value\": 1.8161773110260113}, \"0.9209542034691292\": {\"frequency\": 1, \"value\": 0.9209542034691292}, \"1.8867120292535562\": {\"frequency\": 1, \"value\": 1.8867120292535562}, \"2.931664380480824\": {\"frequency\": 1, \"value\": 2.931664380480824}, \"5.2504003965506065\": {\"frequency\": 1, \"value\": 5.2504003965506065}, \"2.0037583583548515\": {\"frequency\": 1, \"value\": 2.0037583583548515}, \"5.248498782563694\": {\"frequency\": 1, \"value\": 5.248498782563694}, \"1.0926260658637215\": {\"frequency\": 1, \"value\": 1.0926260658637215}, \"2.1640643594522846\": {\"frequency\": 1, \"value\": 2.1640643594522846}, \"2.9673490102333644\": {\"frequency\": 1, \"value\": 2.9673490102333644}, \"0.9293136502485602\": {\"frequency\": 1, \"value\": 0.9293136502485602}, \"5.1153869194106445\": {\"frequency\": 1, \"value\": 5.1153869194106445}, \"1.9446354010452223\": {\"frequency\": 1, \"value\": 1.9446354010452223}, \"4.933797879319651\": {\"frequency\": 1, \"value\": 4.933797879319651}, \"4.862190314116406\": {\"frequency\": 1, \"value\": 4.862190314116406}, \"0.9828138466056775\": {\"frequency\": 1, \"value\": 0.9828138466056775}, \"0.951596034025956\": {\"frequency\": 1, \"value\": 0.951596034025956}, \"1.384588405296077\": {\"frequency\": 1, \"value\": 1.384588405296077}, \"1.347774535490902\": {\"frequency\": 1, \"value\": 1.347774535490902}, \"2.8443632957087757\": {\"frequency\": 1, \"value\": 2.8443632957087757}, \"1.4539509247975215\": {\"frequency\": 1, \"value\": 1.4539509247975215}, \"3.905327814899504\": {\"frequency\": 1, \"value\": 3.905327814899504}, \"4.057451462493359\": {\"frequency\": 1, \"value\": 4.057451462493359}, \"1.8984964796685286\": {\"frequency\": 1, \"value\": 1.8984964796685286}, \"4.083570740643466\": {\"frequency\": 1, \"value\": 4.083570740643466}, \"5.140928544149978\": {\"frequency\": 1, \"value\": 5.140928544149978}, \"3.900840901090958\": {\"frequency\": 1, \"value\": 3.900840901090958}, \"1.798633649540203\": {\"frequency\": 1, \"value\": 1.798633649540203}, \"2.099610480936571\": {\"frequency\": 1, \"value\": 2.099610480936571}, \"1.1396914298214673\": {\"frequency\": 1, \"value\": 1.1396914298214673}, \"2.2652923284731386\": {\"frequency\": 1, \"value\": 2.2652923284731386}, \"0.5422759919970943\": {\"frequency\": 1, \"value\": 0.5422759919970943}, \"3.874203858481746\": {\"frequency\": 1, \"value\": 3.874203858481746}, \"4.867561711293904\": {\"frequency\": 1, \"value\": 4.867561711293904}, \"1.0098989963300182\": {\"frequency\": 1, \"value\": 1.0098989963300182}, \"2.5683862872077485\": {\"frequency\": 1, \"value\": 2.5683862872077485}, \"4.003725474132271\": {\"frequency\": 1, \"value\": 4.003725474132271}, \"0.9172762038480505\": {\"frequency\": 1, \"value\": 0.9172762038480505}, \"1.236275720257657\": {\"frequency\": 1, \"value\": 1.236275720257657}, \"1.1894503935547496\": {\"frequency\": 1, \"value\": 1.1894503935547496}, \"1.0741650002562204\": {\"frequency\": 1, \"value\": 1.0741650002562204}, \"1.1153181633229883\": {\"frequency\": 1, \"value\": 1.1153181633229883}, \"3.895660695010437\": {\"frequency\": 1, \"value\": 3.895660695010437}, \"4.861796037364926\": {\"frequency\": 1, \"value\": 4.861796037364926}, \"2.0196755813630953\": {\"frequency\": 1, \"value\": 2.0196755813630953}, \"3.9080747115461123\": {\"frequency\": 1, \"value\": 3.9080747115461123}, \"0.6772204304884097\": {\"frequency\": 1, \"value\": 0.6772204304884097}, \"3.9623101835739862\": {\"frequency\": 1, \"value\": 3.9623101835739862}, \"1.832464391618411\": {\"frequency\": 1, \"value\": 1.832464391618411}, \"1.9555045979514158\": {\"frequency\": 1, \"value\": 1.9555045979514158}, \"1.9712840976567358\": {\"frequency\": 1, \"value\": 1.9712840976567358}, \"3.22073879149243\": {\"frequency\": 1, \"value\": 3.22073879149243}, \"2.9061378527441786\": {\"frequency\": 1, \"value\": 2.9061378527441786}, \"3.880616577643361\": {\"frequency\": 1, \"value\": 3.880616577643361}, \"2.759252961560044\": {\"frequency\": 1, \"value\": 2.759252961560044}, \"0.7017484814588788\": {\"frequency\": 1, \"value\": 0.7017484814588788}, \"1.9258591993559093\": {\"frequency\": 1, \"value\": 1.9258591993559093}, \"3.1398272307437387\": {\"frequency\": 1, \"value\": 3.1398272307437387}, \"2.054234036927462\": {\"frequency\": 1, \"value\": 2.054234036927462}, \"4.909289379818245\": {\"frequency\": 1, \"value\": 4.909289379818245}, \"3.9065117980748187\": {\"frequency\": 1, \"value\": 3.9065117980748187}, \"2.967725292744444\": {\"frequency\": 1, \"value\": 2.967725292744444}, \"0.7890743072029972\": {\"frequency\": 1, \"value\": 0.7890743072029972}, \"2.791880153982971\": {\"frequency\": 1, \"value\": 2.791880153982971}, \"4.96238205239007\": {\"frequency\": 1, \"value\": 4.96238205239007}, \"3.6113086297426356\": {\"frequency\": 1, \"value\": 3.6113086297426356}, \"0.8964961914979194\": {\"frequency\": 1, \"value\": 0.8964961914979194}, \"1.8294828305658706\": {\"frequency\": 1, \"value\": 1.8294828305658706}, \"4.983342320860007\": {\"frequency\": 1, \"value\": 4.983342320860007}, \"2.2978711924148962\": {\"frequency\": 1, \"value\": 2.2978711924148962}, \"2.342461044268659\": {\"frequency\": 1, \"value\": 2.342461044268659}, \"2.5769887969624383\": {\"frequency\": 1, \"value\": 2.5769887969624383}, \"4.974282489936728\": {\"frequency\": 1, \"value\": 4.974282489936728}, \"3.8512655650598253\": {\"frequency\": 1, \"value\": 3.8512655650598253}, \"2.87923208944077\": {\"frequency\": 1, \"value\": 2.87923208944077}, \"3.9583429793810008\": {\"frequency\": 1, \"value\": 3.9583429793810008}, \"2.70194692241854\": {\"frequency\": 1, \"value\": 2.70194692241854}, \"3.869628700013882\": {\"frequency\": 1, \"value\": 3.869628700013882}, \"2.188183522915023\": {\"frequency\": 1, \"value\": 2.188183522915023}, \"4.103301488856352\": {\"frequency\": 1, \"value\": 4.103301488856352}, \"2.152899490606707\": {\"frequency\": 1, \"value\": 2.152899490606707}, \"3.050560701083831\": {\"frequency\": 1, \"value\": 3.050560701083831}, \"5.1801447810178365\": {\"frequency\": 1, \"value\": 5.1801447810178365}, \"0.9793562296412884\": {\"frequency\": 1, \"value\": 0.9793562296412884}, \"1.820519814619634\": {\"frequency\": 1, \"value\": 1.820519814619634}, \"5.025910904109244\": {\"frequency\": 1, \"value\": 5.025910904109244}, \"3.041017325046371\": {\"frequency\": 1, \"value\": 3.041017325046371}, \"2.9879424932721763\": {\"frequency\": 1, \"value\": 2.9879424932721763}, \"0.9376894935745255\": {\"frequency\": 1, \"value\": 0.9376894935745255}, \"4.8404594480119165\": {\"frequency\": 1, \"value\": 4.8404594480119165}, \"2.8487012942238503\": {\"frequency\": 1, \"value\": 2.8487012942238503}, \"3.0173166360330836\": {\"frequency\": 1, \"value\": 3.0173166360330836}, \"5.145434974004087\": {\"frequency\": 1, \"value\": 5.145434974004087}, \"5.188462861655394\": {\"frequency\": 1, \"value\": 5.188462861655394}, \"1.104778204766841\": {\"frequency\": 1, \"value\": 1.104778204766841}, \"1.9687952218005424\": {\"frequency\": 1, \"value\": 1.9687952218005424}, \"1.1572655924217952\": {\"frequency\": 1, \"value\": 1.1572655924217952}, \"4.135913573153016\": {\"frequency\": 1, \"value\": 4.135913573153016}, \"3.119873874504459\": {\"frequency\": 1, \"value\": 3.119873874504459}, \"1.810502281018624\": {\"frequency\": 1, \"value\": 1.810502281018624}, \"4.795428991839157\": {\"frequency\": 1, \"value\": 4.795428991839157}, \"4.662923579025755\": {\"frequency\": 1, \"value\": 4.662923579025755}, \"1.829654160549282\": {\"frequency\": 1, \"value\": 1.829654160549282}, \"2.0149172813087106\": {\"frequency\": 1, \"value\": 2.0149172813087106}, \"2.7034233284851914\": {\"frequency\": 1, \"value\": 2.7034233284851914}, \"1.0354852284507505\": {\"frequency\": 1, \"value\": 1.0354852284507505}, \"2.8749945218630657\": {\"frequency\": 1, \"value\": 2.8749945218630657}, \"2.894226029288777\": {\"frequency\": 1, \"value\": 2.894226029288777}, \"1.0390139394302762\": {\"frequency\": 1, \"value\": 1.0390139394302762}, \"2.848907454726873\": {\"frequency\": 1, \"value\": 2.848907454726873}, \"1.9901351859704854\": {\"frequency\": 1, \"value\": 1.9901351859704854}, \"4.012779238330036\": {\"frequency\": 1, \"value\": 4.012779238330036}, \"2.0366678398515203\": {\"frequency\": 1, \"value\": 2.0366678398515203}, \"0.9876747195808705\": {\"frequency\": 1, \"value\": 0.9876747195808705}, \"1.9875893748403333\": {\"frequency\": 1, \"value\": 1.9875893748403333}, \"4.962661815577078\": {\"frequency\": 1, \"value\": 4.962661815577078}, \"2.870589294723448\": {\"frequency\": 1, \"value\": 2.870589294723448}, \"1.6735153395864033\": {\"frequency\": 1, \"value\": 1.6735153395864033}, \"2.8289519085498274\": {\"frequency\": 1, \"value\": 2.8289519085498274}, \"5.134323314407182\": {\"frequency\": 1, \"value\": 5.134323314407182}, \"2.933579544530235\": {\"frequency\": 1, \"value\": 2.933579544530235}, \"1.1046553321063508\": {\"frequency\": 1, \"value\": 1.1046553321063508}, \"3.6301738545449096\": {\"frequency\": 1, \"value\": 3.6301738545449096}, \"1.4022513362926274\": {\"frequency\": 1, \"value\": 1.4022513362926274}, \"1.2192693691331598\": {\"frequency\": 1, \"value\": 1.2192693691331598}, \"5.061064151002499\": {\"frequency\": 1, \"value\": 5.061064151002499}, \"1.29765043875912\": {\"frequency\": 1, \"value\": 1.29765043875912}, \"1.1601129606861993\": {\"frequency\": 1, \"value\": 1.1601129606861993}, \"1.5976239361510582\": {\"frequency\": 1, \"value\": 1.5976239361510582}, \"0.9618693012837202\": {\"frequency\": 1, \"value\": 0.9618693012837202}, \"5.12687733463781\": {\"frequency\": 1, \"value\": 5.12687733463781}, \"0.9305098695002874\": {\"frequency\": 1, \"value\": 0.9305098695002874}, \"3.2090046751005383\": {\"frequency\": 1, \"value\": 3.2090046751005383}, \"0.8655079104448098\": {\"frequency\": 1, \"value\": 0.8655079104448098}, \"5.132401073290381\": {\"frequency\": 1, \"value\": 5.132401073290381}, \"3.183444308423171\": {\"frequency\": 1, \"value\": 3.183444308423171}, \"1.9150673395134268\": {\"frequency\": 1, \"value\": 1.9150673395134268}, \"5.017815240499313\": {\"frequency\": 1, \"value\": 5.017815240499313}, \"1.1332766164063828\": {\"frequency\": 1, \"value\": 1.1332766164063828}, \"1.2137018798632018\": {\"frequency\": 1, \"value\": 1.2137018798632018}, \"3.200266203469346\": {\"frequency\": 1, \"value\": 3.200266203469346}, \"5.162466717868366\": {\"frequency\": 1, \"value\": 5.162466717868366}, \"3.1853116601934195\": {\"frequency\": 1, \"value\": 3.1853116601934195}, \"5.044581163924855\": {\"frequency\": 1, \"value\": 5.044581163924855}, \"1.1790520545779861\": {\"frequency\": 1, \"value\": 1.1790520545779861}, \"5.235565900941132\": {\"frequency\": 1, \"value\": 5.235565900941132}, \"0.8891380746857398\": {\"frequency\": 1, \"value\": 0.8891380746857398}, \"4.934254461452679\": {\"frequency\": 1, \"value\": 4.934254461452679}, \"1.7037508075605403\": {\"frequency\": 1, \"value\": 1.7037508075605403}, \"3.1331934292139074\": {\"frequency\": 1, \"value\": 3.1331934292139074}, \"3.175877988382674\": {\"frequency\": 1, \"value\": 3.175877988382674}, \"2.223461063107333\": {\"frequency\": 1, \"value\": 2.223461063107333}, \"3.900357676282778\": {\"frequency\": 1, \"value\": 3.900357676282778}, \"1.930750110470538\": {\"frequency\": 1, \"value\": 1.930750110470538}, \"1.9889294903955221\": {\"frequency\": 1, \"value\": 1.9889294903955221}, \"3.196727239157836\": {\"frequency\": 1, \"value\": 3.196727239157836}, \"3.1136917837848554\": {\"frequency\": 1, \"value\": 3.1136917837848554}, \"3.9778818994383585\": {\"frequency\": 1, \"value\": 3.9778818994383585}, \"1.7707999146985114\": {\"frequency\": 1, \"value\": 1.7707999146985114}, \"2.710715787203334\": {\"frequency\": 1, \"value\": 2.710715787203334}, \"4.100359950761527\": {\"frequency\": 1, \"value\": 4.100359950761527}, \"0.7705062695177796\": {\"frequency\": 1, \"value\": 0.7705062695177796}, \"0.8277548629890594\": {\"frequency\": 1, \"value\": 0.8277548629890594}, \"4.392245397873003\": {\"frequency\": 1, \"value\": 4.392245397873003}, \"4.359383704514985\": {\"frequency\": 1, \"value\": 4.359383704514985}, \"5.093117838178986\": {\"frequency\": 1, \"value\": 5.093117838178986}, \"4.089442417490966\": {\"frequency\": 1, \"value\": 4.089442417490966}, \"0.8520874007217374\": {\"frequency\": 1, \"value\": 0.8520874007217374}, \"3.102567291518551\": {\"frequency\": 1, \"value\": 3.102567291518551}, \"0.7931514316431071\": {\"frequency\": 1, \"value\": 0.7931514316431071}, \"4.171820838557106\": {\"frequency\": 1, \"value\": 4.171820838557106}, \"5.265792149510645\": {\"frequency\": 1, \"value\": 5.265792149510645}, \"4.2197163296462294\": {\"frequency\": 1, \"value\": 4.2197163296462294}, \"3.7260280996094117\": {\"frequency\": 1, \"value\": 3.7260280996094117}, \"3.869343059614422\": {\"frequency\": 1, \"value\": 3.869343059614422}, \"4.2234566931376385\": {\"frequency\": 1, \"value\": 4.2234566931376385}, \"3.3522532254839725\": {\"frequency\": 1, \"value\": 3.3522532254839725}, \"5.33946929620279\": {\"frequency\": 1, \"value\": 5.33946929620279}, \"5.060731294705255\": {\"frequency\": 1, \"value\": 5.060731294705255}, \"0.9734238844826089\": {\"frequency\": 1, \"value\": 0.9734238844826089}, \"2.080525106226007\": {\"frequency\": 1, \"value\": 2.080525106226007}, \"2.9793574497076585\": {\"frequency\": 1, \"value\": 2.9793574497076585}, \"4.081614929869234\": {\"frequency\": 1, \"value\": 4.081614929869234}, \"4.2207007533456755\": {\"frequency\": 1, \"value\": 4.2207007533456755}, \"3.241970025282061\": {\"frequency\": 1, \"value\": 3.241970025282061}, \"4.939450796619149\": {\"frequency\": 1, \"value\": 4.939450796619149}, \"1.1884936238440789\": {\"frequency\": 1, \"value\": 1.1884936238440789}, \"1.1134580555705338\": {\"frequency\": 1, \"value\": 1.1134580555705338}, \"4.048011385859343\": {\"frequency\": 1, \"value\": 4.048011385859343}, \"1.0017255797835152\": {\"frequency\": 1, \"value\": 1.0017255797835152}, \"3.9530923930182498\": {\"frequency\": 1, \"value\": 3.9530923930182498}, \"0.6587459618749975\": {\"frequency\": 1, \"value\": 0.6587459618749975}, \"4.981187509927479\": {\"frequency\": 1, \"value\": 4.981187509927479}, \"4.212320034007052\": {\"frequency\": 1, \"value\": 4.212320034007052}, \"2.043435926527656\": {\"frequency\": 1, \"value\": 2.043435926527656}, \"1.9933361434309693\": {\"frequency\": 1, \"value\": 1.9933361434309693}, \"3.525561225697397\": {\"frequency\": 1, \"value\": 3.525561225697397}, \"2.975918672267118\": {\"frequency\": 1, \"value\": 2.975918672267118}, \"3.0778187937731443\": {\"frequency\": 1, \"value\": 3.0778187937731443}, \"1.0333346990745058\": {\"frequency\": 1, \"value\": 1.0333346990745058}, \"4.284395111858493\": {\"frequency\": 1, \"value\": 4.284395111858493}, \"1.9197530580177635\": {\"frequency\": 1, \"value\": 1.9197530580177635}, \"5.390352202453562\": {\"frequency\": 1, \"value\": 5.390352202453562}, \"2.0940866289692965\": {\"frequency\": 1, \"value\": 2.0940866289692965}, \"5.244575489410682\": {\"frequency\": 1, \"value\": 5.244575489410682}, \"2.192138679692132\": {\"frequency\": 1, \"value\": 2.192138679692132}, \"2.070563321298876\": {\"frequency\": 1, \"value\": 2.070563321298876}, \"0.994363554332269\": {\"frequency\": 1, \"value\": 0.994363554332269}, \"1.9819235985446106\": {\"frequency\": 1, \"value\": 1.9819235985446106}, \"0.6096391797036795\": {\"frequency\": 1, \"value\": 0.6096391797036795}, \"2.9909773392613332\": {\"frequency\": 1, \"value\": 2.9909773392613332}, \"0.8111107488163499\": {\"frequency\": 1, \"value\": 0.8111107488163499}, \"5.134527343713619\": {\"frequency\": 1, \"value\": 5.134527343713619}, \"1.1250462902054374\": {\"frequency\": 1, \"value\": 1.1250462902054374}, \"0.843474168834495\": {\"frequency\": 1, \"value\": 0.843474168834495}, \"1.793471379621574\": {\"frequency\": 1, \"value\": 1.793471379621574}, \"3.0321322379639546\": {\"frequency\": 1, \"value\": 3.0321322379639546}, \"4.1021749643784835\": {\"frequency\": 1, \"value\": 4.1021749643784835}, \"4.963281847305889\": {\"frequency\": 1, \"value\": 4.963281847305889}, \"4.379236445726629\": {\"frequency\": 1, \"value\": 4.379236445726629}, \"1.2253271844213014\": {\"frequency\": 1, \"value\": 1.2253271844213014}, \"4.696005108082827\": {\"frequency\": 1, \"value\": 4.696005108082827}, \"4.33715846053186\": {\"frequency\": 1, \"value\": 4.33715846053186}, \"2.0413381023416006\": {\"frequency\": 1, \"value\": 2.0413381023416006}, \"2.0479165519712783\": {\"frequency\": 1, \"value\": 2.0479165519712783}, \"1.7970348184531117\": {\"frequency\": 1, \"value\": 1.7970348184531117}, \"5.004442532903297\": {\"frequency\": 1, \"value\": 5.004442532903297}, \"1.8748885929781494\": {\"frequency\": 1, \"value\": 1.8748885929781494}, \"3.0813314174933764\": {\"frequency\": 1, \"value\": 3.0813314174933764}, \"1.8687072650056937\": {\"frequency\": 1, \"value\": 1.8687072650056937}, \"1.2988158146315212\": {\"frequency\": 1, \"value\": 1.2988158146315212}, \"4.898931855620423\": {\"frequency\": 1, \"value\": 4.898931855620423}, \"2.423358204296735\": {\"frequency\": 1, \"value\": 2.423358204296735}, \"2.072896249848101\": {\"frequency\": 1, \"value\": 2.072896249848101}, \"2.640567076920876\": {\"frequency\": 1, \"value\": 2.640567076920876}, \"5.0889706876373015\": {\"frequency\": 1, \"value\": 5.0889706876373015}, \"3.1286109090678584\": {\"frequency\": 1, \"value\": 3.1286109090678584}, \"4.140356674423406\": {\"frequency\": 1, \"value\": 4.140356674423406}, \"5.330629966513064\": {\"frequency\": 1, \"value\": 5.330629966513064}, \"4.049244552255287\": {\"frequency\": 1, \"value\": 4.049244552255287}, \"4.823197054050382\": {\"frequency\": 1, \"value\": 4.823197054050382}, \"3.7975085694512387\": {\"frequency\": 1, \"value\": 3.7975085694512387}, \"3.3175523047490736\": {\"frequency\": 1, \"value\": 3.3175523047490736}, \"5.093350130083687\": {\"frequency\": 1, \"value\": 5.093350130083687}, \"2.119381296249591\": {\"frequency\": 1, \"value\": 2.119381296249591}, \"5.079659217239499\": {\"frequency\": 1, \"value\": 5.079659217239499}, \"4.7910367361240285\": {\"frequency\": 1, \"value\": 4.7910367361240285}, \"2.108154717060078\": {\"frequency\": 1, \"value\": 2.108154717060078}, \"4.570376304353821\": {\"frequency\": 1, \"value\": 4.570376304353821}, \"2.1380858048766096\": {\"frequency\": 1, \"value\": 2.1380858048766096}, \"1.195747596821148\": {\"frequency\": 1, \"value\": 1.195747596821148}, \"4.110825515665354\": {\"frequency\": 1, \"value\": 4.110825515665354}, \"2.043901911158609\": {\"frequency\": 1, \"value\": 2.043901911158609}, \"4.889840114858632\": {\"frequency\": 1, \"value\": 4.889840114858632}, \"5.217509263093379\": {\"frequency\": 1, \"value\": 5.217509263093379}, \"3.0015234996636315\": {\"frequency\": 1, \"value\": 3.0015234996636315}, \"4.917239202190067\": {\"frequency\": 1, \"value\": 4.917239202190067}, \"0.9566100860126702\": {\"frequency\": 1, \"value\": 0.9566100860126702}, \"2.8869004387250685\": {\"frequency\": 1, \"value\": 2.8869004387250685}, \"1.108662378277504\": {\"frequency\": 1, \"value\": 1.108662378277504}, \"0.8078991236733704\": {\"frequency\": 1, \"value\": 0.8078991236733704}, \"1.988506096306921\": {\"frequency\": 1, \"value\": 1.988506096306921}, \"1.1387546305380265\": {\"frequency\": 1, \"value\": 1.1387546305380265}, \"0.799956930522087\": {\"frequency\": 1, \"value\": 0.799956930522087}, \"4.991191020524812\": {\"frequency\": 1, \"value\": 4.991191020524812}, \"4.11667360136426\": {\"frequency\": 1, \"value\": 4.11667360136426}, \"3.9273124439767897\": {\"frequency\": 1, \"value\": 3.9273124439767897}, \"3.1762262194199264\": {\"frequency\": 1, \"value\": 3.1762262194199264}, \"3.0914619293441623\": {\"frequency\": 1, \"value\": 3.0914619293441623}, \"2.8152175968379995\": {\"frequency\": 1, \"value\": 2.8152175968379995}, \"3.1503893175354394\": {\"frequency\": 1, \"value\": 3.1503893175354394}, \"3.9689928383763347\": {\"frequency\": 1, \"value\": 3.9689928383763347}, \"2.931861531224414\": {\"frequency\": 1, \"value\": 2.931861531224414}, \"4.89548429169361\": {\"frequency\": 1, \"value\": 4.89548429169361}, \"1.1042129752905516\": {\"frequency\": 1, \"value\": 1.1042129752905516}, \"1.173792697379359\": {\"frequency\": 1, \"value\": 1.173792697379359}, \"1.1379636329069576\": {\"frequency\": 1, \"value\": 1.1379636329069576}, \"0.9225346365184095\": {\"frequency\": 1, \"value\": 0.9225346365184095}, \"0.9629892657981317\": {\"frequency\": 1, \"value\": 0.9629892657981317}, \"1.9770449350458403\": {\"frequency\": 1, \"value\": 1.9770449350458403}, \"0.9129692896556725\": {\"frequency\": 1, \"value\": 0.9129692896556725}, \"3.177298307871923\": {\"frequency\": 1, \"value\": 3.177298307871923}, \"0.6127440388306986\": {\"frequency\": 1, \"value\": 0.6127440388306986}, \"3.0210464274118554\": {\"frequency\": 1, \"value\": 3.0210464274118554}, \"4.822270943381673\": {\"frequency\": 1, \"value\": 4.822270943381673}, \"4.778470619819794\": {\"frequency\": 1, \"value\": 4.778470619819794}, \"1.0195449935429712\": {\"frequency\": 1, \"value\": 1.0195449935429712}, \"1.7913741003929289\": {\"frequency\": 1, \"value\": 1.7913741003929289}, \"3.173801268563752\": {\"frequency\": 1, \"value\": 3.173801268563752}, \"5.12670678049208\": {\"frequency\": 1, \"value\": 5.12670678049208}, \"3.907621236929143\": {\"frequency\": 1, \"value\": 3.907621236929143}, \"2.1545389674204762\": {\"frequency\": 1, \"value\": 2.1545389674204762}, \"0.7368185178976958\": {\"frequency\": 1, \"value\": 0.7368185178976958}, \"0.946399325809724\": {\"frequency\": 1, \"value\": 0.946399325809724}, \"1.2376059584704604\": {\"frequency\": 1, \"value\": 1.2376059584704604}, \"4.036685729333505\": {\"frequency\": 1, \"value\": 4.036685729333505}, \"4.306186470205765\": {\"frequency\": 1, \"value\": 4.306186470205765}, \"1.6215276213365317\": {\"frequency\": 1, \"value\": 1.6215276213365317}, \"5.117170161163587\": {\"frequency\": 1, \"value\": 5.117170161163587}, \"2.7249631041365516\": {\"frequency\": 1, \"value\": 2.7249631041365516}, \"5.030435395117653\": {\"frequency\": 1, \"value\": 5.030435395117653}, \"3.000294200049082\": {\"frequency\": 1, \"value\": 3.000294200049082}, \"4.657216922089942\": {\"frequency\": 1, \"value\": 4.657216922089942}, \"3.0638236800172565\": {\"frequency\": 1, \"value\": 3.0638236800172565}, \"1.1725192022656903\": {\"frequency\": 1, \"value\": 1.1725192022656903}, \"0.869518283522596\": {\"frequency\": 1, \"value\": 0.869518283522596}, \"2.8013277249153727\": {\"frequency\": 1, \"value\": 2.8013277249153727}, \"5.212142999868434\": {\"frequency\": 1, \"value\": 5.212142999868434}, \"3.797465375246282\": {\"frequency\": 1, \"value\": 3.797465375246282}, \"1.9399042428829156\": {\"frequency\": 1, \"value\": 1.9399042428829156}, \"0.8725125948895542\": {\"frequency\": 1, \"value\": 0.8725125948895542}, \"5.381868525111422\": {\"frequency\": 1, \"value\": 5.381868525111422}, \"2.757426436758195\": {\"frequency\": 1, \"value\": 2.757426436758195}, \"4.918905508571866\": {\"frequency\": 1, \"value\": 4.918905508571866}, \"1.0709515386226436\": {\"frequency\": 1, \"value\": 1.0709515386226436}, \"5.21068794972609\": {\"frequency\": 1, \"value\": 5.21068794972609}, \"0.8139686994951357\": {\"frequency\": 1, \"value\": 0.8139686994951357}, \"2.6787120621100335\": {\"frequency\": 1, \"value\": 2.6787120621100335}, \"1.8286901383531582\": {\"frequency\": 1, \"value\": 1.8286901383531582}, \"2.172703931676263\": {\"frequency\": 1, \"value\": 2.172703931676263}, \"3.9680120424485916\": {\"frequency\": 1, \"value\": 3.9680120424485916}, \"1.1886092174645035\": {\"frequency\": 1, \"value\": 1.1886092174645035}, \"4.7059196529723835\": {\"frequency\": 1, \"value\": 4.7059196529723835}, \"3.1004656480149557\": {\"frequency\": 1, \"value\": 3.1004656480149557}, \"4.942373709454655\": {\"frequency\": 1, \"value\": 4.942373709454655}, \"4.1142219644259646\": {\"frequency\": 1, \"value\": 4.1142219644259646}, \"4.7210640716814645\": {\"frequency\": 1, \"value\": 4.7210640716814645}, \"2.952140681771531\": {\"frequency\": 1, \"value\": 2.952140681771531}, \"2.0456106650248134\": {\"frequency\": 1, \"value\": 2.0456106650248134}, \"1.0288087142321756\": {\"frequency\": 1, \"value\": 1.0288087142321756}, \"4.15077313671246\": {\"frequency\": 1, \"value\": 4.15077313671246}, \"2.919688491100131\": {\"frequency\": 1, \"value\": 2.919688491100131}, \"5.371420453951172\": {\"frequency\": 1, \"value\": 5.371420453951172}, \"1.8625401925686673\": {\"frequency\": 1, \"value\": 1.8625401925686673}, \"5.041466809209138\": {\"frequency\": 1, \"value\": 5.041466809209138}, \"3.393352794386948\": {\"frequency\": 1, \"value\": 3.393352794386948}, \"5.437723735764568\": {\"frequency\": 1, \"value\": 5.437723735764568}, \"4.041443478682191\": {\"frequency\": 1, \"value\": 4.041443478682191}, \"2.7732814348723083\": {\"frequency\": 1, \"value\": 2.7732814348723083}, \"2.9300435639776925\": {\"frequency\": 1, \"value\": 2.9300435639776925}, \"5.023133014809269\": {\"frequency\": 1, \"value\": 5.023133014809269}, \"2.277052309344446\": {\"frequency\": 1, \"value\": 2.277052309344446}, \"3.5361141681538\": {\"frequency\": 1, \"value\": 3.5361141681538}, \"3.9801983377431847\": {\"frequency\": 1, \"value\": 3.9801983377431847}, \"1.1494376668409263\": {\"frequency\": 1, \"value\": 1.1494376668409263}, \"1.1157042995457758\": {\"frequency\": 1, \"value\": 1.1157042995457758}, \"4.311022806411813\": {\"frequency\": 1, \"value\": 4.311022806411813}, \"3.9137807324978486\": {\"frequency\": 1, \"value\": 3.9137807324978486}, \"4.100003339171461\": {\"frequency\": 1, \"value\": 4.100003339171461}, \"4.083560116641216\": {\"frequency\": 1, \"value\": 4.083560116641216}, \"0.7622281484431942\": {\"frequency\": 1, \"value\": 0.7622281484431942}, \"1.031301307593075\": {\"frequency\": 1, \"value\": 1.031301307593075}, \"5.040576208888524\": {\"frequency\": 1, \"value\": 5.040576208888524}, \"3.0209814330171025\": {\"frequency\": 1, \"value\": 3.0209814330171025}, \"0.9088934992965314\": {\"frequency\": 1, \"value\": 0.9088934992965314}, \"2.9853760708103607\": {\"frequency\": 1, \"value\": 2.9853760708103607}, \"1.1859010222959057\": {\"frequency\": 1, \"value\": 1.1859010222959057}, \"1.4607833395367884\": {\"frequency\": 1, \"value\": 1.4607833395367884}, \"2.045478555024226\": {\"frequency\": 1, \"value\": 2.045478555024226}, \"2.828459475390621\": {\"frequency\": 1, \"value\": 2.828459475390621}, \"4.799346848619222\": {\"frequency\": 1, \"value\": 4.799346848619222}, \"4.037940522415999\": {\"frequency\": 1, \"value\": 4.037940522415999}, \"2.7106844219928212\": {\"frequency\": 1, \"value\": 2.7106844219928212}, \"2.047973421179056\": {\"frequency\": 1, \"value\": 2.047973421179056}, \"4.657474135463509\": {\"frequency\": 1, \"value\": 4.657474135463509}, \"0.8548805243072831\": {\"frequency\": 1, \"value\": 0.8548805243072831}, \"5.320865263883128\": {\"frequency\": 1, \"value\": 5.320865263883128}, \"1.9103669274638584\": {\"frequency\": 1, \"value\": 1.9103669274638584}, \"2.011978936623255\": {\"frequency\": 1, \"value\": 2.011978936623255}, \"0.9261636324115112\": {\"frequency\": 1, \"value\": 0.9261636324115112}, \"4.075185485153496\": {\"frequency\": 1, \"value\": 4.075185485153496}, \"3.280568948020049\": {\"frequency\": 1, \"value\": 3.280568948020049}, \"0.920110194147425\": {\"frequency\": 1, \"value\": 0.920110194147425}, \"2.146070358075404\": {\"frequency\": 1, \"value\": 2.146070358075404}, \"4.09932303969677\": {\"frequency\": 1, \"value\": 4.09932303969677}, \"0.9968635776794891\": {\"frequency\": 1, \"value\": 0.9968635776794891}, \"3.456064127135477\": {\"frequency\": 1, \"value\": 3.456064127135477}, \"3.973875920800976\": {\"frequency\": 1, \"value\": 3.973875920800976}, \"1.23575591423193\": {\"frequency\": 1, \"value\": 1.23575591423193}, \"2.2308368060988037\": {\"frequency\": 1, \"value\": 2.2308368060988037}, \"1.8401155200913806\": {\"frequency\": 1, \"value\": 1.8401155200913806}, \"1.189884161385152\": {\"frequency\": 1, \"value\": 1.189884161385152}, \"0.8743824880716842\": {\"frequency\": 1, \"value\": 0.8743824880716842}, \"5.062805138364121\": {\"frequency\": 1, \"value\": 5.062805138364121}, \"5.304754239523411\": {\"frequency\": 1, \"value\": 5.304754239523411}, \"5.082782734022047\": {\"frequency\": 1, \"value\": 5.082782734022047}, \"4.891728082313756\": {\"frequency\": 1, \"value\": 4.891728082313756}, \"5.146718973645874\": {\"frequency\": 1, \"value\": 5.146718973645874}, \"4.135511406717543\": {\"frequency\": 1, \"value\": 4.135511406717543}, \"2.187279708710492\": {\"frequency\": 1, \"value\": 2.187279708710492}, \"2.8978147637535474\": {\"frequency\": 1, \"value\": 2.8978147637535474}, \"3.022511506181291\": {\"frequency\": 1, \"value\": 3.022511506181291}, \"3.4976883228662254\": {\"frequency\": 1, \"value\": 3.4976883228662254}, \"5.245332794757496\": {\"frequency\": 1, \"value\": 5.245332794757496}, \"1.799933930209259\": {\"frequency\": 1, \"value\": 1.799933930209259}, \"5.102512446285225\": {\"frequency\": 1, \"value\": 5.102512446285225}, \"4.278106793414787\": {\"frequency\": 1, \"value\": 4.278106793414787}, \"2.1352921464723247\": {\"frequency\": 1, \"value\": 2.1352921464723247}, \"0.7791233321143098\": {\"frequency\": 1, \"value\": 0.7791233321143098}, \"4.895012115417201\": {\"frequency\": 1, \"value\": 4.895012115417201}, \"4.725885616407862\": {\"frequency\": 1, \"value\": 4.725885616407862}, \"0.7902894069865815\": {\"frequency\": 1, \"value\": 0.7902894069865815}, \"1.8422661490981267\": {\"frequency\": 1, \"value\": 1.8422661490981267}, \"4.958605105015267\": {\"frequency\": 1, \"value\": 4.958605105015267}, \"2.1847593120627895\": {\"frequency\": 1, \"value\": 2.1847593120627895}, \"1.2933157431148357\": {\"frequency\": 1, \"value\": 1.2933157431148357}, \"4.780005838486138\": {\"frequency\": 1, \"value\": 4.780005838486138}, \"1.7790766804947058\": {\"frequency\": 1, \"value\": 1.7790766804947058}, \"3.8891737505831028\": {\"frequency\": 1, \"value\": 3.8891737505831028}, \"5.187359043250797\": {\"frequency\": 1, \"value\": 5.187359043250797}, \"0.527165236571764\": {\"frequency\": 1, \"value\": 0.527165236571764}, \"4.0742345105298075\": {\"frequency\": 1, \"value\": 4.0742345105298075}, \"4.817375692486236\": {\"frequency\": 1, \"value\": 4.817375692486236}, \"1.9276801438436761\": {\"frequency\": 1, \"value\": 1.9276801438436761}, \"5.214072003394635\": {\"frequency\": 1, \"value\": 5.214072003394635}, \"4.872913912276147\": {\"frequency\": 1, \"value\": 4.872913912276147}, \"5.0398794145610974\": {\"frequency\": 1, \"value\": 5.0398794145610974}, \"5.130016902874463\": {\"frequency\": 1, \"value\": 5.130016902874463}, \"2.101447790221923\": {\"frequency\": 1, \"value\": 2.101447790221923}, \"1.824167874232985\": {\"frequency\": 1, \"value\": 1.824167874232985}, \"4.815874725396626\": {\"frequency\": 1, \"value\": 4.815874725396626}, \"2.8055194221295006\": {\"frequency\": 1, \"value\": 2.8055194221295006}, \"5.0481993464090245\": {\"frequency\": 1, \"value\": 5.0481993464090245}, \"1.0133034444766336\": {\"frequency\": 1, \"value\": 1.0133034444766336}, \"1.4766289549727885\": {\"frequency\": 1, \"value\": 1.4766289549727885}, \"1.1383077502140373\": {\"frequency\": 1, \"value\": 1.1383077502140373}, \"5.135449183283274\": {\"frequency\": 1, \"value\": 5.135449183283274}, \"2.808568380344918\": {\"frequency\": 1, \"value\": 2.808568380344918}, \"0.7720395089146452\": {\"frequency\": 1, \"value\": 0.7720395089146452}, \"3.1618360593706325\": {\"frequency\": 1, \"value\": 3.1618360593706325}, \"4.260636192329686\": {\"frequency\": 1, \"value\": 4.260636192329686}, \"2.1223854385462317\": {\"frequency\": 1, \"value\": 2.1223854385462317}, \"2.909183927496879\": {\"frequency\": 1, \"value\": 2.909183927496879}, \"5.196465396760059\": {\"frequency\": 1, \"value\": 5.196465396760059}, \"3.0201162417457925\": {\"frequency\": 1, \"value\": 3.0201162417457925}, \"3.8718548551619603\": {\"frequency\": 1, \"value\": 3.8718548551619603}, \"5.030657693826485\": {\"frequency\": 1, \"value\": 5.030657693826485}, \"2.0478291161307576\": {\"frequency\": 1, \"value\": 2.0478291161307576}, \"0.7669700318433287\": {\"frequency\": 1, \"value\": 0.7669700318433287}, \"3.673756098469293\": {\"frequency\": 1, \"value\": 3.673756098469293}, \"3.0050771208812916\": {\"frequency\": 1, \"value\": 3.0050771208812916}, \"4.852166159921834\": {\"frequency\": 1, \"value\": 4.852166159921834}, \"4.757496851102218\": {\"frequency\": 1, \"value\": 4.757496851102218}, \"3.8757834604597243\": {\"frequency\": 1, \"value\": 3.8757834604597243}, \"3.9049649788341503\": {\"frequency\": 1, \"value\": 3.9049649788341503}, \"1.730317382448776\": {\"frequency\": 1, \"value\": 1.730317382448776}, \"3.9803677577588137\": {\"frequency\": 1, \"value\": 3.9803677577588137}, \"3.0997453916623865\": {\"frequency\": 1, \"value\": 3.0997453916623865}, \"3.3321215119789027\": {\"frequency\": 1, \"value\": 3.3321215119789027}, \"1.376630139411251\": {\"frequency\": 1, \"value\": 1.376630139411251}, \"2.055120134796811\": {\"frequency\": 1, \"value\": 2.055120134796811}, \"5.0190823751653735\": {\"frequency\": 1, \"value\": 5.0190823751653735}, \"5.371049241884096\": {\"frequency\": 1, \"value\": 5.371049241884096}, \"2.788505270439694\": {\"frequency\": 1, \"value\": 2.788505270439694}, \"4.08895627248145\": {\"frequency\": 1, \"value\": 4.08895627248145}, \"4.055133309868155\": {\"frequency\": 1, \"value\": 4.055133309868155}, \"3.042517409287507\": {\"frequency\": 1, \"value\": 3.042517409287507}, \"4.1931872236919405\": {\"frequency\": 1, \"value\": 4.1931872236919405}, \"0.8651334678685247\": {\"frequency\": 1, \"value\": 0.8651334678685247}, \"0.9378227656603056\": {\"frequency\": 1, \"value\": 0.9378227656603056}, \"5.1877170272499535\": {\"frequency\": 1, \"value\": 5.1877170272499535}, \"3.806809228231626\": {\"frequency\": 1, \"value\": 3.806809228231626}, \"4.679631809585096\": {\"frequency\": 1, \"value\": 4.679631809585096}, \"3.0414541493947236\": {\"frequency\": 1, \"value\": 3.0414541493947236}, \"3.9599293039990027\": {\"frequency\": 1, \"value\": 3.9599293039990027}, \"3.0869615915462316\": {\"frequency\": 1, \"value\": 3.0869615915462316}, \"4.9652783528561235\": {\"frequency\": 1, \"value\": 4.9652783528561235}, \"1.7076534623477184\": {\"frequency\": 1, \"value\": 1.7076534623477184}, \"2.1408222044283165\": {\"frequency\": 1, \"value\": 2.1408222044283165}, \"2.4994400783174013\": {\"frequency\": 1, \"value\": 2.4994400783174013}, \"5.051759513468122\": {\"frequency\": 1, \"value\": 5.051759513468122}, \"3.045469190028696\": {\"frequency\": 1, \"value\": 3.045469190028696}, \"0.7440621653591522\": {\"frequency\": 1, \"value\": 0.7440621653591522}, \"3.174192356434324\": {\"frequency\": 1, \"value\": 3.174192356434324}, \"4.806613782308653\": {\"frequency\": 1, \"value\": 4.806613782308653}, \"3.5642136959610182\": {\"frequency\": 1, \"value\": 3.5642136959610182}, \"0.8185403271233516\": {\"frequency\": 1, \"value\": 0.8185403271233516}, \"4.809896410911094\": {\"frequency\": 1, \"value\": 4.809896410911094}, \"0.7746348382486513\": {\"frequency\": 1, \"value\": 0.7746348382486513}, \"1.0914831212441982\": {\"frequency\": 1, \"value\": 1.0914831212441982}, \"0.7414286180553102\": {\"frequency\": 1, \"value\": 0.7414286180553102}, \"4.854726833562779\": {\"frequency\": 1, \"value\": 4.854726833562779}, \"0.9803094951149135\": {\"frequency\": 1, \"value\": 0.9803094951149135}, \"5.2145272094517745\": {\"frequency\": 1, \"value\": 5.2145272094517745}, \"2.9942942260331167\": {\"frequency\": 1, \"value\": 2.9942942260331167}, \"5.118345395030314\": {\"frequency\": 1, \"value\": 5.118345395030314}, \"1.9586110578885418\": {\"frequency\": 1, \"value\": 1.9586110578885418}, \"4.068485470257365\": {\"frequency\": 1, \"value\": 4.068485470257365}, \"0.7151878182034936\": {\"frequency\": 1, \"value\": 0.7151878182034936}, \"1.041654995615372\": {\"frequency\": 1, \"value\": 1.041654995615372}, \"1.2729063696204943\": {\"frequency\": 1, \"value\": 1.2729063696204943}, \"5.099235882457676\": {\"frequency\": 1, \"value\": 5.099235882457676}, \"3.1541673920809874\": {\"frequency\": 1, \"value\": 3.1541673920809874}, \"4.1937488786222294\": {\"frequency\": 1, \"value\": 4.1937488786222294}, \"2.2741978012582242\": {\"frequency\": 1, \"value\": 2.2741978012582242}, \"4.148710703101667\": {\"frequency\": 1, \"value\": 4.148710703101667}, \"4.267277236464559\": {\"frequency\": 1, \"value\": 4.267277236464559}, \"1.2988969088982738\": {\"frequency\": 1, \"value\": 1.2988969088982738}, \"5.159582639313349\": {\"frequency\": 1, \"value\": 5.159582639313349}, \"5.112289981910226\": {\"frequency\": 1, \"value\": 5.112289981910226}, \"1.0559849198086477\": {\"frequency\": 1, \"value\": 1.0559849198086477}, \"4.950983648884629\": {\"frequency\": 1, \"value\": 4.950983648884629}, \"0.905993423459825\": {\"frequency\": 1, \"value\": 0.905993423459825}, \"3.8847516367546193\": {\"frequency\": 1, \"value\": 3.8847516367546193}, \"4.96455067676212\": {\"frequency\": 1, \"value\": 4.96455067676212}, \"2.1842816795621163\": {\"frequency\": 1, \"value\": 2.1842816795621163}, \"3.204244948633433\": {\"frequency\": 1, \"value\": 3.204244948633433}, \"5.110157722820547\": {\"frequency\": 1, \"value\": 5.110157722820547}, \"2.0660070229020624\": {\"frequency\": 1, \"value\": 2.0660070229020624}, \"5.158776072461676\": {\"frequency\": 1, \"value\": 5.158776072461676}, \"4.155455392753591\": {\"frequency\": 1, \"value\": 4.155455392753591}, \"3.727411810558398\": {\"frequency\": 1, \"value\": 3.727411810558398}, \"2.00206986291326\": {\"frequency\": 1, \"value\": 2.00206986291326}, \"5.393545936428609\": {\"frequency\": 1, \"value\": 5.393545936428609}, \"0.9230240381637449\": {\"frequency\": 1, \"value\": 0.9230240381637449}, \"1.9421989578091534\": {\"frequency\": 1, \"value\": 1.9421989578091534}, \"1.84925910676388\": {\"frequency\": 1, \"value\": 1.84925910676388}, \"3.3236108538000453\": {\"frequency\": 1, \"value\": 3.3236108538000453}, \"4.617239859066004\": {\"frequency\": 1, \"value\": 4.617239859066004}, \"2.7374300650900416\": {\"frequency\": 1, \"value\": 2.7374300650900416}, \"2.4395594403216574\": {\"frequency\": 1, \"value\": 2.4395594403216574}, \"4.960442509665454\": {\"frequency\": 1, \"value\": 4.960442509665454}, \"0.8388746984921265\": {\"frequency\": 1, \"value\": 0.8388746984921265}, \"0.6739603306067911\": {\"frequency\": 1, \"value\": 0.6739603306067911}, \"3.9715104262422316\": {\"frequency\": 1, \"value\": 3.9715104262422316}, \"2.1945071578285074\": {\"frequency\": 1, \"value\": 2.1945071578285074}, \"4.7808657542054975\": {\"frequency\": 1, \"value\": 4.7808657542054975}, \"3.9624410156050387\": {\"frequency\": 1, \"value\": 3.9624410156050387}, \"4.989022363049123\": {\"frequency\": 1, \"value\": 4.989022363049123}, \"2.0451217308942207\": {\"frequency\": 1, \"value\": 2.0451217308942207}, \"3.049353204795994\": {\"frequency\": 1, \"value\": 3.049353204795994}, \"1.951732441709379\": {\"frequency\": 1, \"value\": 1.951732441709379}, \"2.7976451831789024\": {\"frequency\": 1, \"value\": 2.7976451831789024}, \"2.634194954658036\": {\"frequency\": 1, \"value\": 2.634194954658036}, \"0.8471712152187114\": {\"frequency\": 1, \"value\": 0.8471712152187114}, \"3.8831249449377356\": {\"frequency\": 1, \"value\": 3.8831249449377356}, \"4.918029092312036\": {\"frequency\": 1, \"value\": 4.918029092312036}, \"4.003503122655643\": {\"frequency\": 1, \"value\": 4.003503122655643}, \"3.7595049383591133\": {\"frequency\": 1, \"value\": 3.7595049383591133}, \"5.02237447937926\": {\"frequency\": 1, \"value\": 5.02237447937926}, \"0.8028978524631698\": {\"frequency\": 1, \"value\": 0.8028978524631698}, \"3.9977728745318664\": {\"frequency\": 1, \"value\": 3.9977728745318664}, \"3.9286256943948805\": {\"frequency\": 1, \"value\": 3.9286256943948805}, \"5.220456512917605\": {\"frequency\": 1, \"value\": 5.220456512917605}, \"2.1398760967175634\": {\"frequency\": 1, \"value\": 2.1398760967175634}, \"1.2156394607428476\": {\"frequency\": 1, \"value\": 1.2156394607428476}, \"2.202368486598838\": {\"frequency\": 1, \"value\": 2.202368486598838}, \"0.86439484368711\": {\"frequency\": 1, \"value\": 0.86439484368711}, \"4.67606308692546\": {\"frequency\": 1, \"value\": 4.67606308692546}, \"5.064006386418546\": {\"frequency\": 1, \"value\": 5.064006386418546}, \"4.008216445228776\": {\"frequency\": 1, \"value\": 4.008216445228776}, \"4.964572523336935\": {\"frequency\": 1, \"value\": 4.964572523336935}, \"2.890100290739192\": {\"frequency\": 1, \"value\": 2.890100290739192}, \"1.1713661223805383\": {\"frequency\": 1, \"value\": 1.1713661223805383}, \"5.017168621068491\": {\"frequency\": 1, \"value\": 5.017168621068491}, \"2.8208368479178345\": {\"frequency\": 1, \"value\": 2.8208368479178345}, \"0.9554788638103359\": {\"frequency\": 1, \"value\": 0.9554788638103359}, \"0.9464532926212067\": {\"frequency\": 1, \"value\": 0.9464532926212067}, \"1.9663571554465853\": {\"frequency\": 1, \"value\": 1.9663571554465853}, \"3.996844156575801\": {\"frequency\": 1, \"value\": 3.996844156575801}, \"1.0997380549819655\": {\"frequency\": 1, \"value\": 1.0997380549819655}, \"2.280268966258392\": {\"frequency\": 1, \"value\": 2.280268966258392}, \"4.945493450302448\": {\"frequency\": 1, \"value\": 4.945493450302448}, \"0.7687635136356175\": {\"frequency\": 1, \"value\": 0.7687635136356175}, \"2.0451163327137607\": {\"frequency\": 1, \"value\": 2.0451163327137607}, \"3.989983471707093\": {\"frequency\": 1, \"value\": 3.989983471707093}, \"4.94391044370651\": {\"frequency\": 1, \"value\": 4.94391044370651}, \"5.181837699066193\": {\"frequency\": 1, \"value\": 5.181837699066193}, \"3.6694392715494315\": {\"frequency\": 1, \"value\": 3.6694392715494315}, \"3.1205415312858658\": {\"frequency\": 1, \"value\": 3.1205415312858658}, \"4.013526846013384\": {\"frequency\": 1, \"value\": 4.013526846013384}, \"5.264158877225583\": {\"frequency\": 1, \"value\": 5.264158877225583}, \"1.093132487946092\": {\"frequency\": 1, \"value\": 1.093132487946092}, \"4.585819248352772\": {\"frequency\": 1, \"value\": 4.585819248352772}, \"2.864081391491171\": {\"frequency\": 1, \"value\": 2.864081391491171}, \"2.2043581171177347\": {\"frequency\": 1, \"value\": 2.2043581171177347}, \"2.004212404268413\": {\"frequency\": 1, \"value\": 2.004212404268413}, \"3.2559624041256043\": {\"frequency\": 1, \"value\": 3.2559624041256043}, \"4.251548843499208\": {\"frequency\": 1, \"value\": 4.251548843499208}, \"1.856011893571621\": {\"frequency\": 1, \"value\": 1.856011893571621}, \"0.8731355812638073\": {\"frequency\": 1, \"value\": 0.8731355812638073}, \"3.9879275011215323\": {\"frequency\": 1, \"value\": 3.9879275011215323}, \"0.9416325274504275\": {\"frequency\": 1, \"value\": 0.9416325274504275}, \"4.04781741607472\": {\"frequency\": 1, \"value\": 4.04781741607472}, \"0.900393509861539\": {\"frequency\": 1, \"value\": 0.900393509861539}, \"3.1068402341691543\": {\"frequency\": 1, \"value\": 3.1068402341691543}, \"0.8182473508081893\": {\"frequency\": 1, \"value\": 0.8182473508081893}, \"5.1567488987349455\": {\"frequency\": 1, \"value\": 5.1567488987349455}, \"3.6934157893139745\": {\"frequency\": 1, \"value\": 3.6934157893139745}, \"1.0596476348412112\": {\"frequency\": 1, \"value\": 1.0596476348412112}, \"2.112801707014762\": {\"frequency\": 1, \"value\": 2.112801707014762}, \"4.263027533144195\": {\"frequency\": 1, \"value\": 4.263027533144195}, \"4.694473610364245\": {\"frequency\": 1, \"value\": 4.694473610364245}, \"3.201719457372021\": {\"frequency\": 1, \"value\": 3.201719457372021}, \"2.6405088391266203\": {\"frequency\": 1, \"value\": 2.6405088391266203}, \"1.3065558428716915\": {\"frequency\": 1, \"value\": 1.3065558428716915}, \"0.7304149154741759\": {\"frequency\": 1, \"value\": 0.7304149154741759}, \"2.992851453290365\": {\"frequency\": 1, \"value\": 2.992851453290365}, \"4.874950815488566\": {\"frequency\": 1, \"value\": 4.874950815488566}, \"3.9020549955253947\": {\"frequency\": 1, \"value\": 3.9020549955253947}, \"2.9033500915041786\": {\"frequency\": 1, \"value\": 2.9033500915041786}, \"1.9970284593290595\": {\"frequency\": 1, \"value\": 1.9970284593290595}, \"4.899258112526352\": {\"frequency\": 1, \"value\": 4.899258112526352}, \"0.9965959172277119\": {\"frequency\": 1, \"value\": 0.9965959172277119}, \"3.003784420776439\": {\"frequency\": 1, \"value\": 3.003784420776439}, \"5.167509582829266\": {\"frequency\": 1, \"value\": 5.167509582829266}, \"4.083904821685229\": {\"frequency\": 1, \"value\": 4.083904821685229}, \"1.539244810512716\": {\"frequency\": 1, \"value\": 1.539244810512716}, \"2.9175456490790914\": {\"frequency\": 1, \"value\": 2.9175456490790914}, \"4.832777724099846\": {\"frequency\": 1, \"value\": 4.832777724099846}, \"0.9739786091612592\": {\"frequency\": 1, \"value\": 0.9739786091612592}, \"4.7354533760956405\": {\"frequency\": 1, \"value\": 4.7354533760956405}, \"4.280304683201049\": {\"frequency\": 1, \"value\": 4.280304683201049}, \"2.2571968014160584\": {\"frequency\": 1, \"value\": 2.2571968014160584}, \"1.6714069412938781\": {\"frequency\": 1, \"value\": 1.6714069412938781}, \"5.114189967969224\": {\"frequency\": 1, \"value\": 5.114189967969224}, \"1.8607346692277835\": {\"frequency\": 1, \"value\": 1.8607346692277835}, \"3.348125889179066\": {\"frequency\": 1, \"value\": 3.348125889179066}, \"2.4299149069734574\": {\"frequency\": 1, \"value\": 2.4299149069734574}, \"2.2534823309637315\": {\"frequency\": 1, \"value\": 2.2534823309637315}, \"1.919740438973298\": {\"frequency\": 1, \"value\": 1.919740438973298}, \"4.283972794439287\": {\"frequency\": 1, \"value\": 4.283972794439287}, \"1.8935020161581864\": {\"frequency\": 1, \"value\": 1.8935020161581864}, \"2.0429931181252186\": {\"frequency\": 1, \"value\": 2.0429931181252186}, \"2.206087653483121\": {\"frequency\": 1, \"value\": 2.206087653483121}, \"5.129965926935996\": {\"frequency\": 1, \"value\": 5.129965926935996}, \"3.983837677411252\": {\"frequency\": 1, \"value\": 3.983837677411252}, \"2.1625348084218086\": {\"frequency\": 1, \"value\": 2.1625348084218086}, \"2.0323118534476334\": {\"frequency\": 1, \"value\": 2.0323118534476334}, \"1.0484235921970246\": {\"frequency\": 1, \"value\": 1.0484235921970246}, \"0.7641684138724625\": {\"frequency\": 1, \"value\": 0.7641684138724625}, \"3.1604103477481034\": {\"frequency\": 1, \"value\": 3.1604103477481034}, \"2.087109231859131\": {\"frequency\": 1, \"value\": 2.087109231859131}, \"4.344739255133453\": {\"frequency\": 1, \"value\": 4.344739255133453}, \"3.9142595868828343\": {\"frequency\": 1, \"value\": 3.9142595868828343}, \"3.822619134743225\": {\"frequency\": 1, \"value\": 3.822619134743225}, \"1.0677808250431888\": {\"frequency\": 1, \"value\": 1.0677808250431888}, \"3.910417032316892\": {\"frequency\": 1, \"value\": 3.910417032316892}, \"3.1981818347369693\": {\"frequency\": 1, \"value\": 3.1981818347369693}, \"4.717835337323932\": {\"frequency\": 1, \"value\": 4.717835337323932}, \"2.9102465973789\": {\"frequency\": 1, \"value\": 2.9102465973789}, \"3.050466286276904\": {\"frequency\": 1, \"value\": 3.050466286276904}, \"0.7106930600873225\": {\"frequency\": 1, \"value\": 0.7106930600873225}, \"2.061666249191869\": {\"frequency\": 1, \"value\": 2.061666249191869}, \"5.258529204202493\": {\"frequency\": 1, \"value\": 5.258529204202493}, \"1.056088341063259\": {\"frequency\": 1, \"value\": 1.056088341063259}, \"4.15339809011191\": {\"frequency\": 1, \"value\": 4.15339809011191}, \"4.88897473090111\": {\"frequency\": 1, \"value\": 4.88897473090111}, \"3.0165222064312402\": {\"frequency\": 1, \"value\": 3.0165222064312402}, \"1.15465059548052\": {\"frequency\": 1, \"value\": 1.15465059548052}, \"4.130008394610154\": {\"frequency\": 1, \"value\": 4.130008394610154}, \"5.052947751551142\": {\"frequency\": 1, \"value\": 5.052947751551142}, \"1.9249705766677432\": {\"frequency\": 1, \"value\": 1.9249705766677432}, \"1.7937035079369483\": {\"frequency\": 1, \"value\": 1.7937035079369483}, \"3.9259671670972596\": {\"frequency\": 1, \"value\": 3.9259671670972596}, \"4.195207505073785\": {\"frequency\": 1, \"value\": 4.195207505073785}, \"4.602146106767743\": {\"frequency\": 1, \"value\": 4.602146106767743}, \"1.98506640434977\": {\"frequency\": 1, \"value\": 1.98506640434977}, \"1.955148213149672\": {\"frequency\": 1, \"value\": 1.955148213149672}, \"3.4641599678560597\": {\"frequency\": 1, \"value\": 3.4641599678560597}, \"4.986028700348763\": {\"frequency\": 1, \"value\": 4.986028700348763}, \"1.9736182720440065\": {\"frequency\": 1, \"value\": 1.9736182720440065}, \"2.010314988553978\": {\"frequency\": 1, \"value\": 2.010314988553978}, \"2.1970635017879734\": {\"frequency\": 1, \"value\": 2.1970635017879734}, \"3.026314793581614\": {\"frequency\": 1, \"value\": 3.026314793581614}, \"3.3122559197911614\": {\"frequency\": 1, \"value\": 3.3122559197911614}, \"2.1354924338692824\": {\"frequency\": 1, \"value\": 2.1354924338692824}, \"4.268524402102071\": {\"frequency\": 1, \"value\": 4.268524402102071}, \"1.8111263018351411\": {\"frequency\": 1, \"value\": 1.8111263018351411}, \"2.979004059796209\": {\"frequency\": 1, \"value\": 2.979004059796209}, \"1.3528104691935328\": {\"frequency\": 1, \"value\": 1.3528104691935328}, \"3.996998982593727\": {\"frequency\": 1, \"value\": 3.996998982593727}, \"1.056855934161443\": {\"frequency\": 1, \"value\": 1.056855934161443}, \"1.7908950885861068\": {\"frequency\": 1, \"value\": 1.7908950885861068}, \"2.8002302407809263\": {\"frequency\": 1, \"value\": 2.8002302407809263}, \"4.948626060533616\": {\"frequency\": 1, \"value\": 4.948626060533616}, \"5.008799102288798\": {\"frequency\": 1, \"value\": 5.008799102288798}, \"3.002749697467107\": {\"frequency\": 1, \"value\": 3.002749697467107}, \"3.9141581406707044\": {\"frequency\": 1, \"value\": 3.9141581406707044}, \"1.9165045300229933\": {\"frequency\": 1, \"value\": 1.9165045300229933}, \"1.2460581361455443\": {\"frequency\": 1, \"value\": 1.2460581361455443}, \"4.988604189004452\": {\"frequency\": 1, \"value\": 4.988604189004452}, \"1.859015729498511\": {\"frequency\": 1, \"value\": 1.859015729498511}, \"4.0987288175049725\": {\"frequency\": 1, \"value\": 4.0987288175049725}, \"4.954775506047209\": {\"frequency\": 1, \"value\": 4.954775506047209}, \"3.8133367519546155\": {\"frequency\": 1, \"value\": 3.8133367519546155}, \"0.5938631064437011\": {\"frequency\": 1, \"value\": 0.5938631064437011}, \"3.0309337667292664\": {\"frequency\": 1, \"value\": 3.0309337667292664}, \"0.8258405701636237\": {\"frequency\": 1, \"value\": 0.8258405701636237}, \"2.2057870985189707\": {\"frequency\": 1, \"value\": 2.2057870985189707}, \"5.120432697915213\": {\"frequency\": 1, \"value\": 5.120432697915213}, \"4.811968681625519\": {\"frequency\": 1, \"value\": 4.811968681625519}, \"3.005347676534927\": {\"frequency\": 1, \"value\": 3.005347676534927}, \"3.1073193041133647\": {\"frequency\": 1, \"value\": 3.1073193041133647}, \"3.8467344802072834\": {\"frequency\": 1, \"value\": 3.8467344802072834}, \"2.150798293395696\": {\"frequency\": 1, \"value\": 2.150798293395696}, \"3.7146124629146016\": {\"frequency\": 1, \"value\": 3.7146124629146016}, \"3.739930633556332\": {\"frequency\": 1, \"value\": 3.739930633556332}, \"2.1872258296622165\": {\"frequency\": 1, \"value\": 2.1872258296622165}, \"0.5488871541195621\": {\"frequency\": 1, \"value\": 0.5488871541195621}, \"3.0845160744545765\": {\"frequency\": 1, \"value\": 3.0845160744545765}, \"4.180010848552815\": {\"frequency\": 1, \"value\": 4.180010848552815}, \"5.16376787451987\": {\"frequency\": 1, \"value\": 5.16376787451987}, \"2.2809091029879425\": {\"frequency\": 1, \"value\": 2.2809091029879425}, \"1.039860039379293\": {\"frequency\": 1, \"value\": 1.039860039379293}, \"1.7564122976813699\": {\"frequency\": 1, \"value\": 1.7564122976813699}, \"2.6747356124346338\": {\"frequency\": 1, \"value\": 2.6747356124346338}, \"0.796391624942527\": {\"frequency\": 1, \"value\": 0.796391624942527}, \"3.269607156084944\": {\"frequency\": 1, \"value\": 3.269607156084944}, \"4.795617335114614\": {\"frequency\": 1, \"value\": 4.795617335114614}, \"3.640045763706651\": {\"frequency\": 1, \"value\": 3.640045763706651}, \"1.8956840644013253\": {\"frequency\": 1, \"value\": 1.8956840644013253}, \"2.9632488539500015\": {\"frequency\": 1, \"value\": 2.9632488539500015}, \"2.0469643051897464\": {\"frequency\": 1, \"value\": 2.0469643051897464}, \"2.1216312855201283\": {\"frequency\": 1, \"value\": 2.1216312855201283}, \"4.79984790195025\": {\"frequency\": 1, \"value\": 4.79984790195025}, \"1.9447134309968326\": {\"frequency\": 1, \"value\": 1.9447134309968326}, \"1.2199319191774227\": {\"frequency\": 1, \"value\": 1.2199319191774227}, \"4.109971373459278\": {\"frequency\": 1, \"value\": 4.109971373459278}, \"4.792594131230262\": {\"frequency\": 1, \"value\": 4.792594131230262}, \"0.9118154735414817\": {\"frequency\": 1, \"value\": 0.9118154735414817}, \"3.792878853723101\": {\"frequency\": 1, \"value\": 3.792878853723101}, \"0.8712763194334219\": {\"frequency\": 1, \"value\": 0.8712763194334219}, \"0.8980695636496693\": {\"frequency\": 1, \"value\": 0.8980695636496693}, \"4.921435879290758\": {\"frequency\": 1, \"value\": 4.921435879290758}, \"1.8279475096084963\": {\"frequency\": 1, \"value\": 1.8279475096084963}, \"5.086623745889787\": {\"frequency\": 1, \"value\": 5.086623745889787}, \"0.9863516789350738\": {\"frequency\": 1, \"value\": 0.9863516789350738}, \"3.3766286816801747\": {\"frequency\": 1, \"value\": 3.3766286816801747}, \"4.812974558112491\": {\"frequency\": 1, \"value\": 4.812974558112491}, \"3.3733366296663254\": {\"frequency\": 1, \"value\": 3.3733366296663254}, \"5.198064562131189\": {\"frequency\": 1, \"value\": 5.198064562131189}, \"4.722043796220759\": {\"frequency\": 1, \"value\": 4.722043796220759}, \"2.8262274906268097\": {\"frequency\": 1, \"value\": 2.8262274906268097}, \"2.1872891451662233\": {\"frequency\": 1, \"value\": 2.1872891451662233}, \"5.172603430630218\": {\"frequency\": 1, \"value\": 5.172603430630218}, \"4.9397810426953175\": {\"frequency\": 1, \"value\": 4.9397810426953175}, \"1.090756382527137\": {\"frequency\": 1, \"value\": 1.090756382527137}, \"1.3465442373838266\": {\"frequency\": 1, \"value\": 1.3465442373838266}, \"4.007625476818987\": {\"frequency\": 1, \"value\": 4.007625476818987}, \"2.840017275371867\": {\"frequency\": 1, \"value\": 2.840017275371867}, \"1.190017683505118\": {\"frequency\": 1, \"value\": 1.190017683505118}, \"0.8624324777942636\": {\"frequency\": 1, \"value\": 0.8624324777942636}, \"0.9381771110456583\": {\"frequency\": 1, \"value\": 0.9381771110456583}, \"3.8694477101302573\": {\"frequency\": 1, \"value\": 3.8694477101302573}, \"0.8224428504739775\": {\"frequency\": 1, \"value\": 0.8224428504739775}, \"0.9915657097418842\": {\"frequency\": 1, \"value\": 0.9915657097418842}, \"4.190837916179753\": {\"frequency\": 1, \"value\": 4.190837916179753}, \"3.0493297910504893\": {\"frequency\": 1, \"value\": 3.0493297910504893}, \"2.2530155676177532\": {\"frequency\": 1, \"value\": 2.2530155676177532}, \"4.093258008710038\": {\"frequency\": 1, \"value\": 4.093258008710038}, \"3.4335976260182024\": {\"frequency\": 1, \"value\": 3.4335976260182024}, \"4.812410480947702\": {\"frequency\": 1, \"value\": 4.812410480947702}, \"4.236623911466341\": {\"frequency\": 1, \"value\": 4.236623911466341}, \"5.180164552841806\": {\"frequency\": 1, \"value\": 5.180164552841806}, \"1.9187393739109875\": {\"frequency\": 1, \"value\": 1.9187393739109875}, \"3.9357482125883982\": {\"frequency\": 1, \"value\": 3.9357482125883982}, \"2.007953346917299\": {\"frequency\": 1, \"value\": 2.007953346917299}, \"3.9905444568607504\": {\"frequency\": 1, \"value\": 3.9905444568607504}, \"2.264871749999168\": {\"frequency\": 1, \"value\": 2.264871749999168}, \"2.92236916150355\": {\"frequency\": 1, \"value\": 2.92236916150355}, \"3.1246907218848765\": {\"frequency\": 1, \"value\": 3.1246907218848765}, \"3.1701061367046877\": {\"frequency\": 1, \"value\": 3.1701061367046877}, \"0.6488218833124562\": {\"frequency\": 1, \"value\": 0.6488218833124562}, \"2.943560824661913\": {\"frequency\": 1, \"value\": 2.943560824661913}, \"2.941671602729631\": {\"frequency\": 1, \"value\": 2.941671602729631}, \"1.057268737778456\": {\"frequency\": 1, \"value\": 1.057268737778456}, \"0.9215222003700727\": {\"frequency\": 1, \"value\": 0.9215222003700727}, \"3.1770375082417854\": {\"frequency\": 1, \"value\": 3.1770375082417854}, \"5.021330458900606\": {\"frequency\": 1, \"value\": 5.021330458900606}, \"1.740262655567382\": {\"frequency\": 1, \"value\": 1.740262655567382}, \"4.921486548406969\": {\"frequency\": 1, \"value\": 4.921486548406969}, \"2.575764711019513\": {\"frequency\": 1, \"value\": 2.575764711019513}, \"2.832961461961703\": {\"frequency\": 1, \"value\": 2.832961461961703}, \"4.977007646744501\": {\"frequency\": 1, \"value\": 4.977007646744501}, \"4.059742731998401\": {\"frequency\": 1, \"value\": 4.059742731998401}, \"1.71880741674642\": {\"frequency\": 1, \"value\": 1.71880741674642}, \"0.6462923098645939\": {\"frequency\": 1, \"value\": 0.6462923098645939}, \"4.030163641266519\": {\"frequency\": 1, \"value\": 4.030163641266519}, \"3.146484801950975\": {\"frequency\": 1, \"value\": 3.146484801950975}, \"3.076864681042249\": {\"frequency\": 1, \"value\": 3.076864681042249}, \"5.031838353333763\": {\"frequency\": 1, \"value\": 5.031838353333763}, \"5.077233275419674\": {\"frequency\": 1, \"value\": 5.077233275419674}, \"3.9556851203592\": {\"frequency\": 1, \"value\": 3.9556851203592}, \"2.0385727911100773\": {\"frequency\": 1, \"value\": 2.0385727911100773}, \"0.9072808050707811\": {\"frequency\": 1, \"value\": 0.9072808050707811}, \"4.165074446417503\": {\"frequency\": 1, \"value\": 4.165074446417503}, \"0.8590599448287533\": {\"frequency\": 1, \"value\": 0.8590599448287533}, \"0.9066308907894475\": {\"frequency\": 1, \"value\": 0.9066308907894475}, \"5.177258638924293\": {\"frequency\": 1, \"value\": 5.177258638924293}, \"3.002647953533507\": {\"frequency\": 1, \"value\": 3.002647953533507}, \"3.9762826752899816\": {\"frequency\": 1, \"value\": 3.9762826752899816}, \"1.725848003491388\": {\"frequency\": 1, \"value\": 1.725848003491388}, \"2.7269674245549664\": {\"frequency\": 1, \"value\": 2.7269674245549664}, \"2.1920095482299855\": {\"frequency\": 1, \"value\": 2.1920095482299855}, \"1.9226258306298707\": {\"frequency\": 1, \"value\": 1.9226258306298707}, \"1.1280263052195183\": {\"frequency\": 1, \"value\": 1.1280263052195183}, \"2.8085705053697967\": {\"frequency\": 1, \"value\": 2.8085705053697967}, \"2.820726055489564\": {\"frequency\": 1, \"value\": 2.820726055489564}, \"4.852940856343405\": {\"frequency\": 1, \"value\": 4.852940856343405}, \"5.248259844063198\": {\"frequency\": 1, \"value\": 5.248259844063198}, \"2.6723152748516417\": {\"frequency\": 1, \"value\": 2.6723152748516417}, \"0.7940129433382047\": {\"frequency\": 1, \"value\": 0.7940129433382047}, \"2.0061203648677037\": {\"frequency\": 1, \"value\": 2.0061203648677037}, \"2.778104489272771\": {\"frequency\": 1, \"value\": 2.778104489272771}, \"3.945758532021967\": {\"frequency\": 1, \"value\": 3.945758532021967}, \"3.3616263621157954\": {\"frequency\": 1, \"value\": 3.3616263621157954}, \"3.663054208225212\": {\"frequency\": 1, \"value\": 3.663054208225212}, \"3.6915423698400645\": {\"frequency\": 1, \"value\": 3.6915423698400645}, \"4.296985119739991\": {\"frequency\": 1, \"value\": 4.296985119739991}, \"5.2608427783699\": {\"frequency\": 1, \"value\": 5.2608427783699}, \"1.1458181124355074\": {\"frequency\": 1, \"value\": 1.1458181124355074}, \"2.805765867035122\": {\"frequency\": 1, \"value\": 2.805765867035122}, \"2.931160708706524\": {\"frequency\": 1, \"value\": 2.931160708706524}, \"2.3263194855064544\": {\"frequency\": 1, \"value\": 2.3263194855064544}, \"3.9204175802818315\": {\"frequency\": 1, \"value\": 3.9204175802818315}, \"2.3810127281120037\": {\"frequency\": 1, \"value\": 2.3810127281120037}, \"1.302665616514641\": {\"frequency\": 1, \"value\": 1.302665616514641}, \"1.9603202206359909\": {\"frequency\": 1, \"value\": 1.9603202206359909}, \"2.0904978185279295\": {\"frequency\": 1, \"value\": 2.0904978185279295}, \"4.054929440722489\": {\"frequency\": 1, \"value\": 4.054929440722489}, \"3.8321741194315573\": {\"frequency\": 1, \"value\": 3.8321741194315573}, \"3.067811851188486\": {\"frequency\": 1, \"value\": 3.067811851188486}, \"0.6734730947531009\": {\"frequency\": 1, \"value\": 0.6734730947531009}, \"1.0712732794348803\": {\"frequency\": 1, \"value\": 1.0712732794348803}, \"1.8303358954389535\": {\"frequency\": 1, \"value\": 1.8303358954389535}, \"3.9988145188333535\": {\"frequency\": 1, \"value\": 3.9988145188333535}, \"2.9039515916523553\": {\"frequency\": 1, \"value\": 2.9039515916523553}, \"1.244974112838732\": {\"frequency\": 1, \"value\": 1.244974112838732}, \"4.1076659206552355\": {\"frequency\": 1, \"value\": 4.1076659206552355}, \"2.151079139132668\": {\"frequency\": 1, \"value\": 2.151079139132668}, \"3.0090331711877663\": {\"frequency\": 1, \"value\": 3.0090331711877663}, \"5.380523639673966\": {\"frequency\": 1, \"value\": 5.380523639673966}, \"1.8664574558858882\": {\"frequency\": 1, \"value\": 1.8664574558858882}, \"3.9926805414167506\": {\"frequency\": 1, \"value\": 3.9926805414167506}, \"4.0339755919593845\": {\"frequency\": 1, \"value\": 4.0339755919593845}, \"2.997988705626197\": {\"frequency\": 1, \"value\": 2.997988705626197}, \"3.69806767878634\": {\"frequency\": 1, \"value\": 3.69806767878634}, \"1.9882826897732278\": {\"frequency\": 1, \"value\": 1.9882826897732278}, \"5.120121040346615\": {\"frequency\": 1, \"value\": 5.120121040346615}, \"0.7685289481618293\": {\"frequency\": 1, \"value\": 0.7685289481618293}, \"5.062526792602797\": {\"frequency\": 1, \"value\": 5.062526792602797}, \"0.8631978204525567\": {\"frequency\": 1, \"value\": 0.8631978204525567}, \"1.7704778110313728\": {\"frequency\": 1, \"value\": 1.7704778110313728}, \"1.9887733959102485\": {\"frequency\": 1, \"value\": 1.9887733959102485}, \"2.725391489809821\": {\"frequency\": 1, \"value\": 2.725391489809821}, \"4.092293775488228\": {\"frequency\": 1, \"value\": 4.092293775488228}, \"0.9728100598643359\": {\"frequency\": 1, \"value\": 0.9728100598643359}, \"5.228910707056912\": {\"frequency\": 1, \"value\": 5.228910707056912}, \"3.9704725170970323\": {\"frequency\": 1, \"value\": 3.9704725170970323}, \"2.9058515003634544\": {\"frequency\": 1, \"value\": 2.9058515003634544}, \"4.013719845496132\": {\"frequency\": 1, \"value\": 4.013719845496132}, \"3.0382901744047826\": {\"frequency\": 1, \"value\": 3.0382901744047826}, \"4.1635955214509615\": {\"frequency\": 1, \"value\": 4.1635955214509615}, \"3.1375762782349508\": {\"frequency\": 1, \"value\": 3.1375762782349508}, \"2.9350130083359\": {\"frequency\": 1, \"value\": 2.9350130083359}, \"3.6664440214231524\": {\"frequency\": 1, \"value\": 3.6664440214231524}, \"0.8088109999014446\": {\"frequency\": 1, \"value\": 0.8088109999014446}, \"4.017290504801519\": {\"frequency\": 1, \"value\": 4.017290504801519}, \"2.057380897600669\": {\"frequency\": 1, \"value\": 2.057380897600669}, \"3.1548321219637634\": {\"frequency\": 1, \"value\": 3.1548321219637634}, \"3.0861542269891284\": {\"frequency\": 1, \"value\": 3.0861542269891284}, \"1.1873484927070515\": {\"frequency\": 1, \"value\": 1.1873484927070515}, \"4.360092552492046\": {\"frequency\": 1, \"value\": 4.360092552492046}, \"2.350997230748412\": {\"frequency\": 1, \"value\": 2.350997230748412}, \"4.089404831377136\": {\"frequency\": 1, \"value\": 4.089404831377136}, \"1.2278801369086603\": {\"frequency\": 1, \"value\": 1.2278801369086603}, \"2.0090268030864022\": {\"frequency\": 1, \"value\": 2.0090268030864022}, \"3.013503371434865\": {\"frequency\": 1, \"value\": 3.013503371434865}, \"3.978669465267955\": {\"frequency\": 1, \"value\": 3.978669465267955}, \"3.1010773877154687\": {\"frequency\": 1, \"value\": 3.1010773877154687}, \"2.9675563104846616\": {\"frequency\": 1, \"value\": 2.9675563104846616}, \"3.2592299735055765\": {\"frequency\": 1, \"value\": 3.2592299735055765}, \"1.1715847848584673\": {\"frequency\": 1, \"value\": 1.1715847848584673}, \"4.819585605717383\": {\"frequency\": 1, \"value\": 4.819585605717383}, \"1.8929459670934312\": {\"frequency\": 1, \"value\": 1.8929459670934312}, \"3.071140703144797\": {\"frequency\": 1, \"value\": 3.071140703144797}, \"0.805779085911103\": {\"frequency\": 1, \"value\": 0.805779085911103}, \"3.748042531318946\": {\"frequency\": 1, \"value\": 3.748042531318946}, \"3.0312952513892597\": {\"frequency\": 1, \"value\": 3.0312952513892597}, \"3.7270483539835135\": {\"frequency\": 1, \"value\": 3.7270483539835135}, \"4.92077536044971\": {\"frequency\": 1, \"value\": 4.92077536044971}, \"2.2068819772963035\": {\"frequency\": 1, \"value\": 2.2068819772963035}, \"5.028162130375647\": {\"frequency\": 1, \"value\": 5.028162130375647}, \"3.320053563749752\": {\"frequency\": 1, \"value\": 3.320053563749752}, \"2.0812830987352413\": {\"frequency\": 1, \"value\": 2.0812830987352413}, \"1.8134421916987122\": {\"frequency\": 1, \"value\": 1.8134421916987122}, \"5.204442070917165\": {\"frequency\": 1, \"value\": 5.204442070917165}, \"4.291161590367369\": {\"frequency\": 1, \"value\": 4.291161590367369}, \"2.0719008799142022\": {\"frequency\": 1, \"value\": 2.0719008799142022}, \"4.302327869976864\": {\"frequency\": 1, \"value\": 4.302327869976864}, \"3.0076236000358803\": {\"frequency\": 1, \"value\": 3.0076236000358803}, \"4.750132297027691\": {\"frequency\": 1, \"value\": 4.750132297027691}, \"4.065159922728125\": {\"frequency\": 1, \"value\": 4.065159922728125}, \"3.2296701161382253\": {\"frequency\": 1, \"value\": 3.2296701161382253}, \"2.9065013652684293\": {\"frequency\": 1, \"value\": 2.9065013652684293}, \"4.9141552200855605\": {\"frequency\": 1, \"value\": 4.9141552200855605}, \"2.736456531371847\": {\"frequency\": 1, \"value\": 2.736456531371847}, \"1.2257188129029137\": {\"frequency\": 1, \"value\": 1.2257188129029137}, \"1.0309894851393833\": {\"frequency\": 1, \"value\": 1.0309894851393833}, \"5.127604806699091\": {\"frequency\": 1, \"value\": 5.127604806699091}, \"1.7644742075034738\": {\"frequency\": 1, \"value\": 1.7644742075034738}, \"3.969185520315033\": {\"frequency\": 1, \"value\": 3.969185520315033}, \"2.0175062941843342\": {\"frequency\": 1, \"value\": 2.0175062941843342}, \"5.151009936051177\": {\"frequency\": 1, \"value\": 5.151009936051177}, \"5.025313760306155\": {\"frequency\": 1, \"value\": 5.025313760306155}, \"2.512487128160129\": {\"frequency\": 1, \"value\": 2.512487128160129}, \"1.1728872397719012\": {\"frequency\": 1, \"value\": 1.1728872397719012}, \"3.9940287756727266\": {\"frequency\": 1, \"value\": 3.9940287756727266}, \"4.843944026321987\": {\"frequency\": 1, \"value\": 4.843944026321987}, \"5.146310316372431\": {\"frequency\": 1, \"value\": 5.146310316372431}, \"3.007781741171243\": {\"frequency\": 1, \"value\": 3.007781741171243}, \"5.049123285580355\": {\"frequency\": 1, \"value\": 5.049123285580355}, \"5.202947538965955\": {\"frequency\": 1, \"value\": 5.202947538965955}, \"4.740727922344914\": {\"frequency\": 1, \"value\": 4.740727922344914}, \"3.845361497955312\": {\"frequency\": 1, \"value\": 3.845361497955312}, \"0.8994366598714923\": {\"frequency\": 1, \"value\": 0.8994366598714923}, \"1.9097393925794948\": {\"frequency\": 1, \"value\": 1.9097393925794948}, \"4.008014291309555\": {\"frequency\": 1, \"value\": 4.008014291309555}, \"2.6831052873698127\": {\"frequency\": 1, \"value\": 2.6831052873698127}, \"0.7335576690810997\": {\"frequency\": 1, \"value\": 0.7335576690810997}, \"1.8282055223111315\": {\"frequency\": 1, \"value\": 1.8282055223111315}, \"4.492864386703073\": {\"frequency\": 1, \"value\": 4.492864386703073}, \"2.010190855402258\": {\"frequency\": 1, \"value\": 2.010190855402258}, \"2.044492632801721\": {\"frequency\": 1, \"value\": 2.044492632801721}, \"4.0043714716439744\": {\"frequency\": 1, \"value\": 4.0043714716439744}, \"4.6875971316341465\": {\"frequency\": 1, \"value\": 4.6875971316341465}, \"3.1826403848504357\": {\"frequency\": 1, \"value\": 3.1826403848504357}, \"2.6790522940278025\": {\"frequency\": 1, \"value\": 2.6790522940278025}, \"1.9088349304401262\": {\"frequency\": 1, \"value\": 1.9088349304401262}, \"0.5520791882676526\": {\"frequency\": 1, \"value\": 0.5520791882676526}, \"3.3169641054698036\": {\"frequency\": 1, \"value\": 3.3169641054698036}, \"1.8798684884684422\": {\"frequency\": 1, \"value\": 1.8798684884684422}, \"0.8805367862069274\": {\"frequency\": 1, \"value\": 0.8805367862069274}, \"2.883181290641016\": {\"frequency\": 1, \"value\": 2.883181290641016}, \"5.26847073825159\": {\"frequency\": 1, \"value\": 5.26847073825159}, \"4.020965560565443\": {\"frequency\": 1, \"value\": 4.020965560565443}}, \"mean\": 2.991952615479117}}, \"selected_variable\": {\"name\": [\"XS\"], \"descriptives\": {\"rows\": 1500, \"columns\": 2}, \"view_component\": \"Summary\", \"view_file\": \"sframe\", \"view_params\": {\"y\": null, \"x\": null, \"columns\": [\"0\", \"1\"], \"view\": \"Summary\"}, \"view_components\": [\"Summary\", \"Table\", \"Bar Chart\", \"BoxWhisker Plot\", \"Line Chart\", \"Scatter Plot\", \"Heat Map\", \"Plots\"], \"type\": \"SFrame\", \"columns\": [{\"dtype\": \"float\", \"name\": \"0\"}, {\"dtype\": \"float\", \"name\": \"1\"}], \"column_identifiers\": [\"1\", \"0\"]}, \"columns\": [{\"dtype\": \"float\", \"name\": \"0\"}, {\"dtype\": \"float\", \"name\": \"1\"}]}, e);\n",
       "                });\n",
       "            })();\n",
       "        "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#  None: Use the default (depends on which Canvas target is set).\n",
    "# ‘Table’: Show a scrollable, tabular view of the data in the SFrame.\n",
    "# ‘Summary’: Show a list of columns with some summary statistics and plots for each column.\n",
    "# ‘Scatter Plot’: Show a scatter plot of two numeric columns.\n",
    "# ‘Heat Map’: Show a heat map of two numeric columns.\n",
    "# ‘Bar Chart’: Show a bar chart of one numeric and one categorical column.\n",
    "# ‘BoxWhisker Plot’: Show a box and whisker plot of one numeric and one categorical column.\n",
    "# ‘Line Chart’: Show a line chart of one numeric and one categorical column.\n",
    "import pandas as pd\n",
    "XS = gl.SFrame(data=pd.DataFrame(X1))\n",
    "print XS\n",
    "XS.show(view=\"Summary\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre>Batch size is larger than the input dataset. Switching to an exact Kmeans method.</pre>"
      ],
      "text/plain": [
       "Batch size is larger than the input dataset. Switching to an exact Kmeans method."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Choosing initial cluster centers with Kmeans++.</pre>"
      ],
      "text/plain": [
       "Choosing initial cluster centers with Kmeans++."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+---------------+-----------+</pre>"
      ],
      "text/plain": [
       "+---------------+-----------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| Center number | Row index |</pre>"
      ],
      "text/plain": [
       "| Center number | Row index |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Class                            : KmeansModel\n",
      "\n",
      "Schema\n",
      "------\n",
      "Number of clusters               : 10\n",
      "Number of examples               : 1500\n",
      "Number of feature columns        : 2\n",
      "Number of unpacked features      : 2\n",
      "Row label name                   : row_id\n",
      "\n",
      "Training Summary\n",
      "----------------\n",
      "Training method                  : elkan\n",
      "Number of training iterations    : 15\n",
      "Batch size                       : 1500\n",
      "Total training time (seconds)    : 1.0421\n",
      "\n",
      "Accessible fields\n",
      "-----------------\n",
      "cluster_id                      : An SFrame containing the cluster assignments.\n",
      "cluster_info                    : An SFrame containing the cluster centers.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<pre>+---------------+-----------+</pre>"
      ],
      "text/plain": [
       "+---------------+-----------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 0             | 540       |</pre>"
      ],
      "text/plain": [
       "| 0             | 540       |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 1             | 1299      |</pre>"
      ],
      "text/plain": [
       "| 1             | 1299      |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 2             | 758       |</pre>"
      ],
      "text/plain": [
       "| 2             | 758       |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 3             | 654       |</pre>"
      ],
      "text/plain": [
       "| 3             | 654       |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 4             | 805       |</pre>"
      ],
      "text/plain": [
       "| 4             | 805       |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 5             | 1313      |</pre>"
      ],
      "text/plain": [
       "| 5             | 1313      |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+---------------+-----------+</pre>"
      ],
      "text/plain": [
       "+---------------+-----------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Starting kmeans model training.</pre>"
      ],
      "text/plain": [
       "Starting kmeans model training."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>Assigning points to initial cluster centers.</pre>"
      ],
      "text/plain": [
       "Assigning points to initial cluster centers."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+-------------------------------+</pre>"
      ],
      "text/plain": [
       "+-----------+-------------------------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| Iteration | Number of changed assignments |</pre>"
      ],
      "text/plain": [
       "| Iteration | Number of changed assignments |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+-------------------------------+</pre>"
      ],
      "text/plain": [
       "+-----------+-------------------------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 1         | 136                           |</pre>"
      ],
      "text/plain": [
       "| 1         | 136                           |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 2         | 78                            |</pre>"
      ],
      "text/plain": [
       "| 2         | 78                            |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 3         | 32                            |</pre>"
      ],
      "text/plain": [
       "| 3         | 32                            |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 4         | 21                            |</pre>"
      ],
      "text/plain": [
       "| 4         | 21                            |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 5         | 13                            |</pre>"
      ],
      "text/plain": [
       "| 5         | 13                            |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 6         | 12                            |</pre>"
      ],
      "text/plain": [
       "| 6         | 12                            |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 7         | 8                             |</pre>"
      ],
      "text/plain": [
       "| 7         | 8                             |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 8         | 10                            |</pre>"
      ],
      "text/plain": [
       "| 8         | 10                            |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 9         | 7                             |</pre>"
      ],
      "text/plain": [
       "| 9         | 7                             |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 10        | 5                             |</pre>"
      ],
      "text/plain": [
       "| 10        | 5                             |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 11        | 4                             |</pre>"
      ],
      "text/plain": [
       "| 11        | 4                             |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 12        | 4                             |</pre>"
      ],
      "text/plain": [
       "| 12        | 4                             |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 13        | 2                             |</pre>"
      ],
      "text/plain": [
       "| 13        | 2                             |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 14        | 1                             |</pre>"
      ],
      "text/plain": [
       "| 14        | 1                             |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>| 15        | 0                             |</pre>"
      ],
      "text/plain": [
       "| 15        | 0                             |"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre>+-----------+-------------------------------+</pre>"
      ],
      "text/plain": [
       "+-----------+-------------------------------+"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = gl.kmeans.create(XS, num_clusters=10, max_iterations=50)\n",
    "model.summary()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "$(\"head\").append($(\"<link/>\").attr({\n",
       "  rel:  \"stylesheet\",\n",
       "  type: \"text/css\",\n",
       "  href: \"//cdnjs.cloudflare.com/ajax/libs/font-awesome/4.1.0/css/font-awesome.min.css\"\n",
       "}));\n",
       "$(\"head\").append($(\"<link/>\").attr({\n",
       "  rel:  \"stylesheet\",\n",
       "  type: \"text/css\",\n",
       "  href: \"https://static.turi.com/products/graphlab-create/2.1/canvas/css/canvas.css\"\n",
       "}));\n",
       "\n",
       "            (function(){\n",
       "\n",
       "                var e = null;\n",
       "                if (typeof element == 'undefined') {\n",
       "                    var scripts = document.getElementsByTagName('script');\n",
       "                    var thisScriptTag = scripts[scripts.length-1];\n",
       "                    var parentDiv = thisScriptTag.parentNode;\n",
       "                    e = document.createElement('div');\n",
       "                    parentDiv.appendChild(e);\n",
       "                } else {\n",
       "                    e = element[0];\n",
       "                }\n",
       "\n",
       "                if (typeof requirejs !== 'undefined') {\n",
       "                    // disable load timeout; ipython_app.js is large and can take a while to load.\n",
       "                    requirejs.config({waitSeconds: 0});\n",
       "                }\n",
       "\n",
       "                require(['https://static.turi.com/products/graphlab-create/2.1/canvas/js/ipython_app.js'], function(IPythonApp){\n",
       "                    var app = new IPythonApp();\n",
       "                    app.attachView('sframe','Summary', {\"ipython\": true, \"sketch\": {\"distance\": {\"std\": 0.16694214388552903, \"complete\": true, \"min\": 0.0075845676474273205, \"max\": 0.8850269317626953, \"quantile\": [0.0075845676474273205, 0.02944822981953621, 0.04822754114866257, 0.059713203459978104, 0.06661491841077805, 0.07456933706998825, 0.08036653697490692, 0.08550632745027542, 0.08866971731185913, 0.09470639377832413, 0.0989474207162857, 0.1033705472946167, 0.1089160218834877, 0.11411459743976593, 0.11738824099302292, 0.12410619854927063, 0.1282815784215927, 0.13284647464752197, 0.14125525951385498, 0.14503072202205658, 0.1472112089395523, 0.15115822851657867, 0.15707923471927643, 0.16066476702690125, 0.16433171927928925, 0.16853012144565582, 0.17215527594089508, 0.17411521077156067, 0.1773259937763214, 0.18148232996463776, 0.18493875861167908, 0.18831728398799896, 0.1924879252910614, 0.19673798978328705, 0.19974297285079956, 0.2055380791425705, 0.21003858745098114, 0.21393729746341705, 0.22014814615249634, 0.22410152852535248, 0.22629408538341522, 0.22875334322452545, 0.23287321627140045, 0.2375885546207428, 0.24284540116786957, 0.247366800904274, 0.2505147159099579, 0.2531685531139374, 0.25697413086891174, 0.26026809215545654, 0.2633788585662842, 0.26649630069732666, 0.269115686416626, 0.2745039165019989, 0.2787715196609497, 0.2830299437046051, 0.28755348920822144, 0.296436071395874, 0.30043765902519226, 0.3037005662918091, 0.30795764923095703, 0.31288591027259827, 0.31625646352767944, 0.3220077157020569, 0.3280125856399536, 0.33048561215400696, 0.33603352308273315, 0.33860263228416443, 0.3469105064868927, 0.352680504322052, 0.35729536414146423, 0.3659360408782959, 0.3748595118522644, 0.3803535997867584, 0.39047643542289734, 0.39647161960601807, 0.40245333313941956, 0.4084431827068329, 0.4191870391368866, 0.4257301986217499, 0.434074729681015, 0.4410263001918793, 0.4497489333152771, 0.4575234055519104, 0.46860235929489136, 0.48282212018966675, 0.49469539523124695, 0.50217604637146, 0.5132977962493896, 0.5296143889427185, 0.5454821586608887, 0.563400387763977, 0.5822831988334656, 0.5987651944160461, 0.6169434785842896, 0.6319339275360107, 0.6448730826377869, 0.6689521670341492, 0.6902033090591431, 0.7193824052810669, 0.8850269317626953], \"median\": 0.2633788585662842, \"numeric\": true, \"num_unique\": 1497, \"num_undefined\": 0, \"var\": 0.027869679405096676, \"progress\": 1.0, \"size\": 1500, \"frequent_items\": {\"0.3566017150878906\": {\"frequency\": 1, \"value\": 0.3566017150878906}, \"0.5870361328125\": {\"frequency\": 1, \"value\": 0.5870361328125}, \"0.17140863835811615\": {\"frequency\": 1, \"value\": 0.17140863835811615}, \"0.15851593017578125\": {\"frequency\": 1, \"value\": 0.15851593017578125}, \"0.0775662362575531\": {\"frequency\": 1, \"value\": 0.0775662362575531}, \"0.593952476978302\": {\"frequency\": 1, \"value\": 0.593952476978302}, \"0.08713110536336899\": {\"frequency\": 1, \"value\": 0.08713110536336899}, \"0.050513312220573425\": {\"frequency\": 1, \"value\": 0.050513312220573425}, \"0.07947313040494919\": {\"frequency\": 1, \"value\": 0.07947313040494919}, \"0.44467973709106445\": {\"frequency\": 1, \"value\": 0.44467973709106445}, \"0.30927518010139465\": {\"frequency\": 1, \"value\": 0.30927518010139465}, \"0.25150734186172485\": {\"frequency\": 1, \"value\": 0.25150734186172485}, \"0.27393969893455505\": {\"frequency\": 1, \"value\": 0.27393969893455505}, \"0.12260548770427704\": {\"frequency\": 1, \"value\": 0.12260548770427704}, \"0.17698608338832855\": {\"frequency\": 1, \"value\": 0.17698608338832855}, \"0.13161031901836395\": {\"frequency\": 1, \"value\": 0.13161031901836395}, \"0.31033602356910706\": {\"frequency\": 1, \"value\": 0.31033602356910706}, \"0.6583027243614197\": {\"frequency\": 1, \"value\": 0.6583027243614197}, \"0.31144145131111145\": {\"frequency\": 1, \"value\": 0.31144145131111145}, \"0.41312697529792786\": {\"frequency\": 1, \"value\": 0.41312697529792786}, \"0.17614001035690308\": {\"frequency\": 1, \"value\": 0.17614001035690308}, \"0.687574565410614\": {\"frequency\": 1, \"value\": 0.687574565410614}, \"0.5151047110557556\": {\"frequency\": 1, \"value\": 0.5151047110557556}, \"0.7147623300552368\": {\"frequency\": 1, \"value\": 0.7147623300552368}, \"0.49444904923439026\": {\"frequency\": 1, \"value\": 0.49444904923439026}, \"0.4481954574584961\": {\"frequency\": 1, \"value\": 0.4481954574584961}, \"0.24581024050712585\": {\"frequency\": 1, \"value\": 0.24581024050712585}, \"0.2673797607421875\": {\"frequency\": 1, \"value\": 0.2673797607421875}, \"0.28220510482788086\": {\"frequency\": 1, \"value\": 0.28220510482788086}, \"0.27739495038986206\": {\"frequency\": 1, \"value\": 0.27739495038986206}, \"0.1609409898519516\": {\"frequency\": 1, \"value\": 0.1609409898519516}, \"0.30043765902519226\": {\"frequency\": 1, \"value\": 0.30043765902519226}, \"0.14904868602752686\": {\"frequency\": 1, \"value\": 0.14904868602752686}, \"0.45556432008743286\": {\"frequency\": 1, \"value\": 0.45556432008743286}, \"0.2803144156932831\": {\"frequency\": 1, \"value\": 0.2803144156932831}, \"0.22107404470443726\": {\"frequency\": 1, \"value\": 0.22107404470443726}, \"0.25253668427467346\": {\"frequency\": 1, \"value\": 0.25253668427467346}, \"0.30133622884750366\": {\"frequency\": 1, \"value\": 0.30133622884750366}, \"0.2260456383228302\": {\"frequency\": 1, \"value\": 0.2260456383228302}, \"0.19963566958904266\": {\"frequency\": 1, \"value\": 0.19963566958904266}, \"0.722123920917511\": {\"frequency\": 1, \"value\": 0.722123920917511}, \"0.1445794254541397\": {\"frequency\": 1, \"value\": 0.1445794254541397}, \"0.18148232996463776\": {\"frequency\": 1, \"value\": 0.18148232996463776}, \"0.5590935945510864\": {\"frequency\": 1, \"value\": 0.5590935945510864}, \"0.32844746112823486\": {\"frequency\": 1, \"value\": 0.32844746112823486}, \"0.10824038833379745\": {\"frequency\": 1, \"value\": 0.10824038833379745}, \"0.14266978204250336\": {\"frequency\": 1, \"value\": 0.14266978204250336}, \"0.07266106456518173\": {\"frequency\": 1, \"value\": 0.07266106456518173}, \"0.44948792457580566\": {\"frequency\": 1, \"value\": 0.44948792457580566}, \"0.03776922449469566\": {\"frequency\": 1, \"value\": 0.03776922449469566}, \"0.40057018399238586\": {\"frequency\": 1, \"value\": 0.40057018399238586}, \"0.22359004616737366\": {\"frequency\": 1, \"value\": 0.22359004616737366}, \"0.31450173258781433\": {\"frequency\": 1, \"value\": 0.31450173258781433}, \"0.11037265509366989\": {\"frequency\": 1, \"value\": 0.11037265509366989}, \"0.37632226943969727\": {\"frequency\": 1, \"value\": 0.37632226943969727}, \"0.32960179448127747\": {\"frequency\": 1, \"value\": 0.32960179448127747}, \"0.39647161960601807\": {\"frequency\": 1, \"value\": 0.39647161960601807}, \"0.49184098839759827\": {\"frequency\": 1, \"value\": 0.49184098839759827}, \"0.21060118079185486\": {\"frequency\": 1, \"value\": 0.21060118079185486}, \"0.25002744793891907\": {\"frequency\": 1, \"value\": 0.25002744793891907}, \"0.17377033829689026\": {\"frequency\": 1, \"value\": 0.17377033829689026}, \"0.17268793284893036\": {\"frequency\": 1, \"value\": 0.17268793284893036}, \"0.11015055328607559\": {\"frequency\": 1, \"value\": 0.11015055328607559}, \"0.5081766843795776\": {\"frequency\": 1, \"value\": 0.5081766843795776}, \"0.1965513676404953\": {\"frequency\": 1, \"value\": 0.1965513676404953}, \"0.023962676525115967\": {\"frequency\": 1, \"value\": 0.023962676525115967}, \"0.45444968342781067\": {\"frequency\": 1, \"value\": 0.45444968342781067}, \"0.30363568663597107\": {\"frequency\": 1, \"value\": 0.30363568663597107}, \"0.2402551770210266\": {\"frequency\": 1, \"value\": 0.2402551770210266}, \"0.33858799934387207\": {\"frequency\": 1, \"value\": 0.33858799934387207}, \"0.16717781126499176\": {\"frequency\": 1, \"value\": 0.16717781126499176}, \"0.6645952463150024\": {\"frequency\": 1, \"value\": 0.6645952463150024}, \"0.12303671985864639\": {\"frequency\": 1, \"value\": 0.12303671985864639}, \"0.20597146451473236\": {\"frequency\": 1, \"value\": 0.20597146451473236}, \"0.16456104815006256\": {\"frequency\": 1, \"value\": 0.16456104815006256}, \"0.6803976893424988\": {\"frequency\": 1, \"value\": 0.6803976893424988}, \"0.5362082719802856\": {\"frequency\": 1, \"value\": 0.5362082719802856}, \"0.32051825523376465\": {\"frequency\": 1, \"value\": 0.32051825523376465}, \"0.5761979222297668\": {\"frequency\": 1, \"value\": 0.5761979222297668}, \"0.3266522288322449\": {\"frequency\": 1, \"value\": 0.3266522288322449}, \"0.3723428547382355\": {\"frequency\": 1, \"value\": 0.3723428547382355}, \"0.6093022227287292\": {\"frequency\": 1, \"value\": 0.6093022227287292}, \"0.22672075033187866\": {\"frequency\": 1, \"value\": 0.22672075033187866}, \"0.21248526871204376\": {\"frequency\": 1, \"value\": 0.21248526871204376}, \"0.3241508901119232\": {\"frequency\": 1, \"value\": 0.3241508901119232}, \"0.31466686725616455\": {\"frequency\": 1, \"value\": 0.31466686725616455}, \"0.41072720289230347\": {\"frequency\": 1, \"value\": 0.41072720289230347}, \"0.18831728398799896\": {\"frequency\": 1, \"value\": 0.18831728398799896}, \"0.4958000183105469\": {\"frequency\": 1, \"value\": 0.4958000183105469}, \"0.3148021996021271\": {\"frequency\": 1, \"value\": 0.3148021996021271}, \"0.18679527938365936\": {\"frequency\": 1, \"value\": 0.18679527938365936}, \"0.3297950327396393\": {\"frequency\": 1, \"value\": 0.3297950327396393}, \"0.537449300289154\": {\"frequency\": 1, \"value\": 0.537449300289154}, \"0.04879620671272278\": {\"frequency\": 1, \"value\": 0.04879620671272278}, \"0.6689521670341492\": {\"frequency\": 1, \"value\": 0.6689521670341492}, \"0.2565901577472687\": {\"frequency\": 1, \"value\": 0.2565901577472687}, \"0.2619975805282593\": {\"frequency\": 1, \"value\": 0.2619975805282593}, \"0.4463562071323395\": {\"frequency\": 1, \"value\": 0.4463562071323395}, \"0.4257301986217499\": {\"frequency\": 1, \"value\": 0.4257301986217499}, \"0.23177745938301086\": {\"frequency\": 1, \"value\": 0.23177745938301086}, \"0.14929038286209106\": {\"frequency\": 1, \"value\": 0.14929038286209106}, \"0.2993990480899811\": {\"frequency\": 1, \"value\": 0.2993990480899811}, \"0.6247344017028809\": {\"frequency\": 1, \"value\": 0.6247344017028809}, \"0.32268235087394714\": {\"frequency\": 1, \"value\": 0.32268235087394714}, \"0.2972419857978821\": {\"frequency\": 1, \"value\": 0.2972419857978821}, \"0.3089931905269623\": {\"frequency\": 1, \"value\": 0.3089931905269623}, \"0.0407235212624073\": {\"frequency\": 1, \"value\": 0.0407235212624073}, \"0.2812585234642029\": {\"frequency\": 1, \"value\": 0.2812585234642029}, \"0.17278774082660675\": {\"frequency\": 1, \"value\": 0.17278774082660675}, \"0.4780683219432831\": {\"frequency\": 1, \"value\": 0.4780683219432831}, \"0.6923923492431641\": {\"frequency\": 1, \"value\": 0.6923923492431641}, \"0.6493664383888245\": {\"frequency\": 1, \"value\": 0.6493664383888245}, \"0.0956275686621666\": {\"frequency\": 1, \"value\": 0.0956275686621666}, \"0.28381824493408203\": {\"frequency\": 1, \"value\": 0.28381824493408203}, \"0.3447779715061188\": {\"frequency\": 1, \"value\": 0.3447779715061188}, \"0.6448730826377869\": {\"frequency\": 1, \"value\": 0.6448730826377869}, \"0.24556219577789307\": {\"frequency\": 1, \"value\": 0.24556219577789307}, \"0.3799145817756653\": {\"frequency\": 1, \"value\": 0.3799145817756653}, \"0.21182985603809357\": {\"frequency\": 1, \"value\": 0.21182985603809357}, \"0.16909095644950867\": {\"frequency\": 1, \"value\": 0.16909095644950867}, \"0.037373486906290054\": {\"frequency\": 1, \"value\": 0.037373486906290054}, \"0.3220077157020569\": {\"frequency\": 1, \"value\": 0.3220077157020569}, \"0.325207382440567\": {\"frequency\": 1, \"value\": 0.325207382440567}, \"0.23653118312358856\": {\"frequency\": 1, \"value\": 0.23653118312358856}, \"0.2505147159099579\": {\"frequency\": 1, \"value\": 0.2505147159099579}, \"0.4233415722846985\": {\"frequency\": 1, \"value\": 0.4233415722846985}, \"0.3543185591697693\": {\"frequency\": 1, \"value\": 0.3543185591697693}, \"0.26361483335494995\": {\"frequency\": 1, \"value\": 0.26361483335494995}, \"0.11052180081605911\": {\"frequency\": 1, \"value\": 0.11052180081605911}, \"0.3401298224925995\": {\"frequency\": 1, \"value\": 0.3401298224925995}, \"0.11673688888549805\": {\"frequency\": 1, \"value\": 0.11673688888549805}, \"0.08611346781253815\": {\"frequency\": 1, \"value\": 0.08611346781253815}, \"0.3293791115283966\": {\"frequency\": 1, \"value\": 0.3293791115283966}, \"0.1164885088801384\": {\"frequency\": 1, \"value\": 0.1164885088801384}, \"0.1804913431406021\": {\"frequency\": 1, \"value\": 0.1804913431406021}, \"0.6968275308609009\": {\"frequency\": 1, \"value\": 0.6968275308609009}, \"0.3655761480331421\": {\"frequency\": 1, \"value\": 0.3655761480331421}, \"0.21015186607837677\": {\"frequency\": 1, \"value\": 0.21015186607837677}, \"0.24173949658870697\": {\"frequency\": 1, \"value\": 0.24173949658870697}, \"0.6701173782348633\": {\"frequency\": 1, \"value\": 0.6701173782348633}, \"0.22663523256778717\": {\"frequency\": 1, \"value\": 0.22663523256778717}, \"0.3303094506263733\": {\"frequency\": 1, \"value\": 0.3303094506263733}, \"0.22235235571861267\": {\"frequency\": 1, \"value\": 0.22235235571861267}, \"0.4622618556022644\": {\"frequency\": 1, \"value\": 0.4622618556022644}, \"0.4163845181465149\": {\"frequency\": 1, \"value\": 0.4163845181465149}, \"0.1242964044213295\": {\"frequency\": 1, \"value\": 0.1242964044213295}, \"0.18036791682243347\": {\"frequency\": 1, \"value\": 0.18036791682243347}, \"0.4116041362285614\": {\"frequency\": 1, \"value\": 0.4116041362285614}, \"0.062134381383657455\": {\"frequency\": 1, \"value\": 0.062134381383657455}, \"0.18726682662963867\": {\"frequency\": 1, \"value\": 0.18726682662963867}, \"0.23920968174934387\": {\"frequency\": 1, \"value\": 0.23920968174934387}, \"0.22775129973888397\": {\"frequency\": 1, \"value\": 0.22775129973888397}, \"0.1139315813779831\": {\"frequency\": 1, \"value\": 0.1139315813779831}, \"0.20892499387264252\": {\"frequency\": 1, \"value\": 0.20892499387264252}, \"0.15472467243671417\": {\"frequency\": 1, \"value\": 0.15472467243671417}, \"0.2721608579158783\": {\"frequency\": 1, \"value\": 0.2721608579158783}, \"0.24284540116786957\": {\"frequency\": 1, \"value\": 0.24284540116786957}, \"0.20819923281669617\": {\"frequency\": 1, \"value\": 0.20819923281669617}, \"0.13080857694149017\": {\"frequency\": 1, \"value\": 0.13080857694149017}, \"0.15220990777015686\": {\"frequency\": 1, \"value\": 0.15220990777015686}, \"0.19558310508728027\": {\"frequency\": 1, \"value\": 0.19558310508728027}, \"0.13978268206119537\": {\"frequency\": 1, \"value\": 0.13978268206119537}, \"0.08755996078252792\": {\"frequency\": 1, \"value\": 0.08755996078252792}, \"0.2680584192276001\": {\"frequency\": 1, \"value\": 0.2680584192276001}, \"0.10320767760276794\": {\"frequency\": 1, \"value\": 0.10320767760276794}, \"0.2998005747795105\": {\"frequency\": 1, \"value\": 0.2998005747795105}, \"0.22545133531093597\": {\"frequency\": 1, \"value\": 0.22545133531093597}, \"0.606643795967102\": {\"frequency\": 1, \"value\": 0.606643795967102}, \"0.3149125874042511\": {\"frequency\": 1, \"value\": 0.3149125874042511}, \"0.07054610550403595\": {\"frequency\": 1, \"value\": 0.07054610550403595}, \"0.3997916579246521\": {\"frequency\": 1, \"value\": 0.3997916579246521}, \"0.04154971241950989\": {\"frequency\": 1, \"value\": 0.04154971241950989}, \"0.14766043424606323\": {\"frequency\": 1, \"value\": 0.14766043424606323}, \"0.5311431884765625\": {\"frequency\": 1, \"value\": 0.5311431884765625}, \"0.15072347223758698\": {\"frequency\": 1, \"value\": 0.15072347223758698}, \"0.3470650315284729\": {\"frequency\": 1, \"value\": 0.3470650315284729}, \"0.3396511971950531\": {\"frequency\": 1, \"value\": 0.3396511971950531}, \"0.6158083081245422\": {\"frequency\": 1, \"value\": 0.6158083081245422}, \"0.2628386616706848\": {\"frequency\": 1, \"value\": 0.2628386616706848}, \"0.2605573832988739\": {\"frequency\": 1, \"value\": 0.2605573832988739}, \"0.24742519855499268\": {\"frequency\": 1, \"value\": 0.24742519855499268}, \"0.20596803724765778\": {\"frequency\": 1, \"value\": 0.20596803724765778}, \"0.27544793486595154\": {\"frequency\": 1, \"value\": 0.27544793486595154}, \"0.13599316775798798\": {\"frequency\": 1, \"value\": 0.13599316775798798}, \"0.05922507494688034\": {\"frequency\": 1, \"value\": 0.05922507494688034}, \"0.31001925468444824\": {\"frequency\": 1, \"value\": 0.31001925468444824}, \"0.23878024518489838\": {\"frequency\": 1, \"value\": 0.23878024518489838}, \"0.3616185188293457\": {\"frequency\": 1, \"value\": 0.3616185188293457}, \"0.2638154923915863\": {\"frequency\": 1, \"value\": 0.2638154923915863}, \"0.047050841152668\": {\"frequency\": 1, \"value\": 0.047050841152668}, \"0.18493875861167908\": {\"frequency\": 1, \"value\": 0.18493875861167908}, \"0.11793917417526245\": {\"frequency\": 1, \"value\": 0.11793917417526245}, \"0.1089160218834877\": {\"frequency\": 1, \"value\": 0.1089160218834877}, \"0.6562737822532654\": {\"frequency\": 1, \"value\": 0.6562737822532654}, \"0.12884630262851715\": {\"frequency\": 1, \"value\": 0.12884630262851715}, \"0.3557576835155487\": {\"frequency\": 1, \"value\": 0.3557576835155487}, \"0.8850269317626953\": {\"frequency\": 1, \"value\": 0.8850269317626953}, \"0.3161497414112091\": {\"frequency\": 1, \"value\": 0.3161497414112091}, \"0.04958117753267288\": {\"frequency\": 1, \"value\": 0.04958117753267288}, \"0.4991694688796997\": {\"frequency\": 1, \"value\": 0.4991694688796997}, \"0.33815091848373413\": {\"frequency\": 1, \"value\": 0.33815091848373413}, \"0.2689487338066101\": {\"frequency\": 1, \"value\": 0.2689487338066101}, \"0.1176641508936882\": {\"frequency\": 1, \"value\": 0.1176641508936882}, \"0.4499543011188507\": {\"frequency\": 1, \"value\": 0.4499543011188507}, \"0.4817860722541809\": {\"frequency\": 1, \"value\": 0.4817860722541809}, \"0.2595284879207611\": {\"frequency\": 1, \"value\": 0.2595284879207611}, \"0.28815293312072754\": {\"frequency\": 1, \"value\": 0.28815293312072754}, \"0.5295475125312805\": {\"frequency\": 1, \"value\": 0.5295475125312805}, \"0.19933578372001648\": {\"frequency\": 1, \"value\": 0.19933578372001648}, \"0.14503072202205658\": {\"frequency\": 1, \"value\": 0.14503072202205658}, \"0.3662581443786621\": {\"frequency\": 1, \"value\": 0.3662581443786621}, \"0.16019989550113678\": {\"frequency\": 1, \"value\": 0.16019989550113678}, \"0.2539573311805725\": {\"frequency\": 1, \"value\": 0.2539573311805725}, \"0.5029594302177429\": {\"frequency\": 1, \"value\": 0.5029594302177429}, \"0.24395394325256348\": {\"frequency\": 1, \"value\": 0.24395394325256348}, \"0.28735193610191345\": {\"frequency\": 1, \"value\": 0.28735193610191345}, \"0.15296851098537445\": {\"frequency\": 1, \"value\": 0.15296851098537445}, \"0.07890839874744415\": {\"frequency\": 1, \"value\": 0.07890839874744415}, \"0.014729169197380543\": {\"frequency\": 1, \"value\": 0.014729169197380543}, \"0.20716378092765808\": {\"frequency\": 1, \"value\": 0.20716378092765808}, \"0.26328688859939575\": {\"frequency\": 1, \"value\": 0.26328688859939575}, \"0.49469539523124695\": {\"frequency\": 1, \"value\": 0.49469539523124695}, \"0.3010711371898651\": {\"frequency\": 1, \"value\": 0.3010711371898651}, \"0.22935199737548828\": {\"frequency\": 1, \"value\": 0.22935199737548828}, \"0.17547418177127838\": {\"frequency\": 1, \"value\": 0.17547418177127838}, \"0.19872766733169556\": {\"frequency\": 1, \"value\": 0.19872766733169556}, \"0.3551599085330963\": {\"frequency\": 1, \"value\": 0.3551599085330963}, \"0.10145144164562225\": {\"frequency\": 1, \"value\": 0.10145144164562225}, \"0.21530736982822418\": {\"frequency\": 1, \"value\": 0.21530736982822418}, \"0.3293536603450775\": {\"frequency\": 1, \"value\": 0.3293536603450775}, \"0.12412890791893005\": {\"frequency\": 1, \"value\": 0.12412890791893005}, \"0.3715328276157379\": {\"frequency\": 1, \"value\": 0.3715328276157379}, \"0.4682844281196594\": {\"frequency\": 1, \"value\": 0.4682844281196594}, \"0.3428215980529785\": {\"frequency\": 1, \"value\": 0.3428215980529785}, \"0.23702934384346008\": {\"frequency\": 1, \"value\": 0.23702934384346008}, \"0.23274259269237518\": {\"frequency\": 1, \"value\": 0.23274259269237518}, \"0.2514921724796295\": {\"frequency\": 1, \"value\": 0.2514921724796295}, \"0.14328321814537048\": {\"frequency\": 1, \"value\": 0.14328321814537048}, \"0.09434866160154343\": {\"frequency\": 1, \"value\": 0.09434866160154343}, \"0.4445025324821472\": {\"frequency\": 1, \"value\": 0.4445025324821472}, \"0.3978050649166107\": {\"frequency\": 1, \"value\": 0.3978050649166107}, \"0.22712081670761108\": {\"frequency\": 1, \"value\": 0.22712081670761108}, \"0.3329896032810211\": {\"frequency\": 1, \"value\": 0.3329896032810211}, \"0.4352801740169525\": {\"frequency\": 1, \"value\": 0.4352801740169525}, \"0.6563853025436401\": {\"frequency\": 1, \"value\": 0.6563853025436401}, \"0.5538756251335144\": {\"frequency\": 1, \"value\": 0.5538756251335144}, \"0.3657407760620117\": {\"frequency\": 1, \"value\": 0.3657407760620117}, \"0.499343603849411\": {\"frequency\": 1, \"value\": 0.499343603849411}, \"0.17346049845218658\": {\"frequency\": 1, \"value\": 0.17346049845218658}, \"0.4276342988014221\": {\"frequency\": 1, \"value\": 0.4276342988014221}, \"0.17346243560314178\": {\"frequency\": 1, \"value\": 0.17346243560314178}, \"0.4303237199783325\": {\"frequency\": 1, \"value\": 0.4303237199783325}, \"0.2806083559989929\": {\"frequency\": 1, \"value\": 0.2806083559989929}, \"0.5107410550117493\": {\"frequency\": 1, \"value\": 0.5107410550117493}, \"0.3352672755718231\": {\"frequency\": 1, \"value\": 0.3352672755718231}, \"0.3659360408782959\": {\"frequency\": 1, \"value\": 0.3659360408782959}, \"0.6013209223747253\": {\"frequency\": 1, \"value\": 0.6013209223747253}, \"0.6636416912078857\": {\"frequency\": 1, \"value\": 0.6636416912078857}, \"0.5987651944160461\": {\"frequency\": 1, \"value\": 0.5987651944160461}, \"0.12693160772323608\": {\"frequency\": 1, \"value\": 0.12693160772323608}, \"0.12396173924207687\": {\"frequency\": 1, \"value\": 0.12396173924207687}, \"0.13578484952449799\": {\"frequency\": 1, \"value\": 0.13578484952449799}, \"0.6792793273925781\": {\"frequency\": 1, \"value\": 0.6792793273925781}, \"0.6161292791366577\": {\"frequency\": 1, \"value\": 0.6161292791366577}, \"0.6058191061019897\": {\"frequency\": 1, \"value\": 0.6058191061019897}, \"0.247366800904274\": {\"frequency\": 1, \"value\": 0.247366800904274}, \"0.2377394735813141\": {\"frequency\": 1, \"value\": 0.2377394735813141}, \"0.4038809537887573\": {\"frequency\": 1, \"value\": 0.4038809537887573}, \"0.2163037806749344\": {\"frequency\": 1, \"value\": 0.2163037806749344}, \"0.2671050429344177\": {\"frequency\": 1, \"value\": 0.2671050429344177}, \"0.5738074779510498\": {\"frequency\": 1, \"value\": 0.5738074779510498}, \"0.25172144174575806\": {\"frequency\": 1, \"value\": 0.25172144174575806}, \"0.0767064020037651\": {\"frequency\": 1, \"value\": 0.0767064020037651}, \"0.2964057922363281\": {\"frequency\": 1, \"value\": 0.2964057922363281}, \"0.14618019759655\": {\"frequency\": 1, \"value\": 0.14618019759655}, \"0.2305775284767151\": {\"frequency\": 1, \"value\": 0.2305775284767151}, \"0.2125740945339203\": {\"frequency\": 1, \"value\": 0.2125740945339203}, \"0.2202807515859604\": {\"frequency\": 1, \"value\": 0.2202807515859604}, \"0.557426929473877\": {\"frequency\": 1, \"value\": 0.557426929473877}, \"0.201536625623703\": {\"frequency\": 1, \"value\": 0.201536625623703}, \"0.2760700583457947\": {\"frequency\": 1, \"value\": 0.2760700583457947}, \"0.220347598195076\": {\"frequency\": 1, \"value\": 0.220347598195076}, \"0.26129159331321716\": {\"frequency\": 1, \"value\": 0.26129159331321716}, \"0.39064261317253113\": {\"frequency\": 1, \"value\": 0.39064261317253113}, \"0.35881471633911133\": {\"frequency\": 1, \"value\": 0.35881471633911133}, \"0.32350781559944153\": {\"frequency\": 1, \"value\": 0.32350781559944153}, \"0.10457943379878998\": {\"frequency\": 1, \"value\": 0.10457943379878998}, \"0.25069674849510193\": {\"frequency\": 1, \"value\": 0.25069674849510193}, \"0.07850529253482819\": {\"frequency\": 1, \"value\": 0.07850529253482819}, \"0.29754316806793213\": {\"frequency\": 1, \"value\": 0.29754316806793213}, \"0.2373041957616806\": {\"frequency\": 1, \"value\": 0.2373041957616806}, \"0.30682438611984253\": {\"frequency\": 1, \"value\": 0.30682438611984253}, \"0.30382898449897766\": {\"frequency\": 1, \"value\": 0.30382898449897766}, \"0.25031358003616333\": {\"frequency\": 1, \"value\": 0.25031358003616333}, \"0.13183414936065674\": {\"frequency\": 1, \"value\": 0.13183414936065674}, \"0.17566430568695068\": {\"frequency\": 1, \"value\": 0.17566430568695068}, \"0.32087409496307373\": {\"frequency\": 1, \"value\": 0.32087409496307373}, \"0.22746165096759796\": {\"frequency\": 1, \"value\": 0.22746165096759796}, \"0.7313402891159058\": {\"frequency\": 1, \"value\": 0.7313402891159058}, \"0.45646896958351135\": {\"frequency\": 1, \"value\": 0.45646896958351135}, \"0.33616921305656433\": {\"frequency\": 1, \"value\": 0.33616921305656433}, \"0.31999877095222473\": {\"frequency\": 1, \"value\": 0.31999877095222473}, \"0.35604196786880493\": {\"frequency\": 1, \"value\": 0.35604196786880493}, \"0.6425535082817078\": {\"frequency\": 1, \"value\": 0.6425535082817078}, \"0.11465641856193542\": {\"frequency\": 1, \"value\": 0.11465641856193542}, \"0.1342340111732483\": {\"frequency\": 1, \"value\": 0.1342340111732483}, \"0.07558136433362961\": {\"frequency\": 1, \"value\": 0.07558136433362961}, \"0.40586215257644653\": {\"frequency\": 1, \"value\": 0.40586215257644653}, \"0.052058301866054535\": {\"frequency\": 1, \"value\": 0.052058301866054535}, \"0.47090092301368713\": {\"frequency\": 1, \"value\": 0.47090092301368713}, \"0.1927764117717743\": {\"frequency\": 1, \"value\": 0.1927764117717743}, \"0.014732211828231812\": {\"frequency\": 1, \"value\": 0.014732211828231812}, \"0.07336653769016266\": {\"frequency\": 1, \"value\": 0.07336653769016266}, \"0.1824062466621399\": {\"frequency\": 1, \"value\": 0.1824062466621399}, \"0.39236417412757874\": {\"frequency\": 1, \"value\": 0.39236417412757874}, \"0.47980284690856934\": {\"frequency\": 1, \"value\": 0.47980284690856934}, \"0.09371752291917801\": {\"frequency\": 1, \"value\": 0.09371752291917801}, \"0.32721883058547974\": {\"frequency\": 1, \"value\": 0.32721883058547974}, \"0.5828320384025574\": {\"frequency\": 1, \"value\": 0.5828320384025574}, \"0.43476665019989014\": {\"frequency\": 1, \"value\": 0.43476665019989014}, \"0.42228689789772034\": {\"frequency\": 1, \"value\": 0.42228689789772034}, \"0.39619868993759155\": {\"frequency\": 1, \"value\": 0.39619868993759155}, \"0.7347400784492493\": {\"frequency\": 1, \"value\": 0.7347400784492493}, \"0.39390942454338074\": {\"frequency\": 1, \"value\": 0.39390942454338074}, \"0.5367776155471802\": {\"frequency\": 1, \"value\": 0.5367776155471802}, \"0.1660480946302414\": {\"frequency\": 1, \"value\": 0.1660480946302414}, \"0.1898985505104065\": {\"frequency\": 1, \"value\": 0.1898985505104065}, \"0.24888180196285248\": {\"frequency\": 1, \"value\": 0.24888180196285248}, \"0.08321002870798111\": {\"frequency\": 1, \"value\": 0.08321002870798111}, \"0.3029308021068573\": {\"frequency\": 1, \"value\": 0.3029308021068573}, \"0.12238842248916626\": {\"frequency\": 1, \"value\": 0.12238842248916626}, \"0.33661678433418274\": {\"frequency\": 1, \"value\": 0.33661678433418274}, \"0.2302791178226471\": {\"frequency\": 1, \"value\": 0.2302791178226471}, \"0.1527826189994812\": {\"frequency\": 1, \"value\": 0.1527826189994812}, \"0.2040807455778122\": {\"frequency\": 1, \"value\": 0.2040807455778122}, \"0.35557401180267334\": {\"frequency\": 1, \"value\": 0.35557401180267334}, \"0.2001926600933075\": {\"frequency\": 1, \"value\": 0.2001926600933075}, \"0.38173338770866394\": {\"frequency\": 1, \"value\": 0.38173338770866394}, \"0.1903374195098877\": {\"frequency\": 1, \"value\": 0.1903374195098877}, \"0.43923625349998474\": {\"frequency\": 1, \"value\": 0.43923625349998474}, \"0.10823504626750946\": {\"frequency\": 1, \"value\": 0.10823504626750946}, \"0.5720840096473694\": {\"frequency\": 1, \"value\": 0.5720840096473694}, \"0.26926884055137634\": {\"frequency\": 1, \"value\": 0.26926884055137634}, \"0.26026809215545654\": {\"frequency\": 1, \"value\": 0.26026809215545654}, \"0.45427027344703674\": {\"frequency\": 1, \"value\": 0.45427027344703674}, \"0.28526774048805237\": {\"frequency\": 1, \"value\": 0.28526774048805237}, \"0.22196124494075775\": {\"frequency\": 1, \"value\": 0.22196124494075775}, \"0.11824154108762741\": {\"frequency\": 1, \"value\": 0.11824154108762741}, \"0.25697413086891174\": {\"frequency\": 1, \"value\": 0.25697413086891174}, \"0.5220739245414734\": {\"frequency\": 1, \"value\": 0.5220739245414734}, \"0.35981839895248413\": {\"frequency\": 1, \"value\": 0.35981839895248413}, \"0.16337665915489197\": {\"frequency\": 1, \"value\": 0.16337665915489197}, \"0.29977720975875854\": {\"frequency\": 1, \"value\": 0.29977720975875854}, \"0.6364121437072754\": {\"frequency\": 1, \"value\": 0.6364121437072754}, \"0.6857934594154358\": {\"frequency\": 1, \"value\": 0.6857934594154358}, \"0.3243812620639801\": {\"frequency\": 1, \"value\": 0.3243812620639801}, \"0.33365947008132935\": {\"frequency\": 1, \"value\": 0.33365947008132935}, \"0.09022464603185654\": {\"frequency\": 1, \"value\": 0.09022464603185654}, \"0.44350191950798035\": {\"frequency\": 1, \"value\": 0.44350191950798035}, \"0.35287246108055115\": {\"frequency\": 1, \"value\": 0.35287246108055115}, \"0.3469105064868927\": {\"frequency\": 1, \"value\": 0.3469105064868927}, \"0.24162320792675018\": {\"frequency\": 1, \"value\": 0.24162320792675018}, \"0.36572617292404175\": {\"frequency\": 1, \"value\": 0.36572617292404175}, \"0.33212465047836304\": {\"frequency\": 1, \"value\": 0.33212465047836304}, \"0.07285209000110626\": {\"frequency\": 1, \"value\": 0.07285209000110626}, \"0.045235879719257355\": {\"frequency\": 1, \"value\": 0.045235879719257355}, \"0.39356982707977295\": {\"frequency\": 1, \"value\": 0.39356982707977295}, \"0.43452829122543335\": {\"frequency\": 1, \"value\": 0.43452829122543335}, \"0.6176424026489258\": {\"frequency\": 1, \"value\": 0.6176424026489258}, \"0.1476978063583374\": {\"frequency\": 1, \"value\": 0.1476978063583374}, \"0.504425048828125\": {\"frequency\": 1, \"value\": 0.504425048828125}, \"0.4049451947212219\": {\"frequency\": 1, \"value\": 0.4049451947212219}, \"0.26528942584991455\": {\"frequency\": 1, \"value\": 0.26528942584991455}, \"0.41913047432899475\": {\"frequency\": 1, \"value\": 0.41913047432899475}, \"0.6872187256813049\": {\"frequency\": 1, \"value\": 0.6872187256813049}, \"0.1740199476480484\": {\"frequency\": 1, \"value\": 0.1740199476480484}, \"0.2687693238258362\": {\"frequency\": 1, \"value\": 0.2687693238258362}, \"0.23092785477638245\": {\"frequency\": 1, \"value\": 0.23092785477638245}, \"0.37513574957847595\": {\"frequency\": 1, \"value\": 0.37513574957847595}, \"0.35990941524505615\": {\"frequency\": 1, \"value\": 0.35990941524505615}, \"0.26973965764045715\": {\"frequency\": 1, \"value\": 0.26973965764045715}, \"0.25649890303611755\": {\"frequency\": 1, \"value\": 0.25649890303611755}, \"0.42627787590026855\": {\"frequency\": 1, \"value\": 0.42627787590026855}, \"0.3181229829788208\": {\"frequency\": 1, \"value\": 0.3181229829788208}, \"0.40245333313941956\": {\"frequency\": 1, \"value\": 0.40245333313941956}, \"0.1309063583612442\": {\"frequency\": 1, \"value\": 0.1309063583612442}, \"0.37932488322257996\": {\"frequency\": 1, \"value\": 0.37932488322257996}, \"0.1660475879907608\": {\"frequency\": 1, \"value\": 0.1660475879907608}, \"0.38416215777397156\": {\"frequency\": 1, \"value\": 0.38416215777397156}, \"0.06774741411209106\": {\"frequency\": 1, \"value\": 0.06774741411209106}, \"0.2354828268289566\": {\"frequency\": 1, \"value\": 0.2354828268289566}, \"0.2260080873966217\": {\"frequency\": 1, \"value\": 0.2260080873966217}, \"0.1536531299352646\": {\"frequency\": 1, \"value\": 0.1536531299352646}, \"0.1607024073600769\": {\"frequency\": 1, \"value\": 0.1607024073600769}, \"0.185712531208992\": {\"frequency\": 1, \"value\": 0.185712531208992}, \"0.1834392547607422\": {\"frequency\": 1, \"value\": 0.1834392547607422}, \"0.11269750446081161\": {\"frequency\": 1, \"value\": 0.11269750446081161}, \"0.25534406304359436\": {\"frequency\": 1, \"value\": 0.25534406304359436}, \"0.48077934980392456\": {\"frequency\": 1, \"value\": 0.48077934980392456}, \"0.28635379672050476\": {\"frequency\": 1, \"value\": 0.28635379672050476}, \"0.10153097659349442\": {\"frequency\": 1, \"value\": 0.10153097659349442}, \"0.718402624130249\": {\"frequency\": 1, \"value\": 0.718402624130249}, \"0.08425996452569962\": {\"frequency\": 1, \"value\": 0.08425996452569962}, \"0.48671776056289673\": {\"frequency\": 1, \"value\": 0.48671776056289673}, \"0.23644785583019257\": {\"frequency\": 1, \"value\": 0.23644785583019257}, \"0.1516885757446289\": {\"frequency\": 1, \"value\": 0.1516885757446289}, \"0.221864715218544\": {\"frequency\": 1, \"value\": 0.221864715218544}, \"0.33596616983413696\": {\"frequency\": 1, \"value\": 0.33596616983413696}, \"0.30780038237571716\": {\"frequency\": 1, \"value\": 0.30780038237571716}, \"0.49768850207328796\": {\"frequency\": 1, \"value\": 0.49768850207328796}, \"0.2110387235879898\": {\"frequency\": 1, \"value\": 0.2110387235879898}, \"0.10015828907489777\": {\"frequency\": 1, \"value\": 0.10015828907489777}, \"0.45089003443717957\": {\"frequency\": 1, \"value\": 0.45089003443717957}, \"0.1617138385772705\": {\"frequency\": 1, \"value\": 0.1617138385772705}, \"0.37765172123908997\": {\"frequency\": 1, \"value\": 0.37765172123908997}, \"0.1335785686969757\": {\"frequency\": 1, \"value\": 0.1335785686969757}, \"0.1724741905927658\": {\"frequency\": 1, \"value\": 0.1724741905927658}, \"0.08418814837932587\": {\"frequency\": 1, \"value\": 0.08418814837932587}, \"0.1473010629415512\": {\"frequency\": 1, \"value\": 0.1473010629415512}, \"0.10718411207199097\": {\"frequency\": 1, \"value\": 0.10718411207199097}, \"0.5690398812294006\": {\"frequency\": 1, \"value\": 0.5690398812294006}, \"0.5984094142913818\": {\"frequency\": 1, \"value\": 0.5984094142913818}, \"0.1424545794725418\": {\"frequency\": 1, \"value\": 0.1424545794725418}, \"0.7297946810722351\": {\"frequency\": 1, \"value\": 0.7297946810722351}, \"0.1645064353942871\": {\"frequency\": 1, \"value\": 0.1645064353942871}, \"0.32803255319595337\": {\"frequency\": 1, \"value\": 0.32803255319595337}, \"0.11784152686595917\": {\"frequency\": 1, \"value\": 0.11784152686595917}, \"0.28300410509109497\": {\"frequency\": 1, \"value\": 0.28300410509109497}, \"0.09636005759239197\": {\"frequency\": 1, \"value\": 0.09636005759239197}, \"0.09297357499599457\": {\"frequency\": 1, \"value\": 0.09297357499599457}, \"0.08407152444124222\": {\"frequency\": 1, \"value\": 0.08407152444124222}, \"0.4069820046424866\": {\"frequency\": 1, \"value\": 0.4069820046424866}, \"0.08398094028234482\": {\"frequency\": 1, \"value\": 0.08398094028234482}, \"0.4380852282047272\": {\"frequency\": 1, \"value\": 0.4380852282047272}, \"0.5177645087242126\": {\"frequency\": 1, \"value\": 0.5177645087242126}, \"0.20958809554576874\": {\"frequency\": 1, \"value\": 0.20958809554576874}, \"0.2349499613046646\": {\"frequency\": 1, \"value\": 0.2349499613046646}, \"0.1433381289243698\": {\"frequency\": 1, \"value\": 0.1433381289243698}, \"0.6426007747650146\": {\"frequency\": 1, \"value\": 0.6426007747650146}, \"0.3807887136936188\": {\"frequency\": 1, \"value\": 0.3807887136936188}, \"0.6272276639938354\": {\"frequency\": 1, \"value\": 0.6272276639938354}, \"0.42648184299468994\": {\"frequency\": 1, \"value\": 0.42648184299468994}, \"0.6851757764816284\": {\"frequency\": 1, \"value\": 0.6851757764816284}, \"0.4710025489330292\": {\"frequency\": 1, \"value\": 0.4710025489330292}, \"0.2780418395996094\": {\"frequency\": 1, \"value\": 0.2780418395996094}, \"0.563400387763977\": {\"frequency\": 1, \"value\": 0.563400387763977}, \"0.2881528437137604\": {\"frequency\": 1, \"value\": 0.2881528437137604}, \"0.4813940227031708\": {\"frequency\": 1, \"value\": 0.4813940227031708}, \"0.2846244275569916\": {\"frequency\": 1, \"value\": 0.2846244275569916}, \"0.12549839913845062\": {\"frequency\": 1, \"value\": 0.12549839913845062}, \"0.22073504328727722\": {\"frequency\": 1, \"value\": 0.22073504328727722}, \"0.23880219459533691\": {\"frequency\": 1, \"value\": 0.23880219459533691}, \"0.13374640047550201\": {\"frequency\": 1, \"value\": 0.13374640047550201}, \"0.3651777505874634\": {\"frequency\": 1, \"value\": 0.3651777505874634}, \"0.20696194469928741\": {\"frequency\": 1, \"value\": 0.20696194469928741}, \"0.6716321706771851\": {\"frequency\": 1, \"value\": 0.6716321706771851}, \"0.2633788585662842\": {\"frequency\": 1, \"value\": 0.2633788585662842}, \"0.18484222888946533\": {\"frequency\": 1, \"value\": 0.18484222888946533}, \"0.20135058462619781\": {\"frequency\": 1, \"value\": 0.20135058462619781}, \"0.18923704326152802\": {\"frequency\": 1, \"value\": 0.18923704326152802}, \"0.17878767848014832\": {\"frequency\": 1, \"value\": 0.17878767848014832}, \"0.09205309301614761\": {\"frequency\": 1, \"value\": 0.09205309301614761}, \"0.11738824099302292\": {\"frequency\": 1, \"value\": 0.11738824099302292}, \"0.5135326981544495\": {\"frequency\": 1, \"value\": 0.5135326981544495}, \"0.2688303589820862\": {\"frequency\": 1, \"value\": 0.2688303589820862}, \"0.22701126337051392\": {\"frequency\": 1, \"value\": 0.22701126337051392}, \"0.14512299001216888\": {\"frequency\": 1, \"value\": 0.14512299001216888}, \"0.22448217868804932\": {\"frequency\": 1, \"value\": 0.22448217868804932}, \"0.2575218975543976\": {\"frequency\": 1, \"value\": 0.2575218975543976}, \"0.5331452488899231\": {\"frequency\": 1, \"value\": 0.5331452488899231}, \"0.08550632745027542\": {\"frequency\": 1, \"value\": 0.08550632745027542}, \"0.27133908867836\": {\"frequency\": 1, \"value\": 0.27133908867836}, \"0.18640980124473572\": {\"frequency\": 1, \"value\": 0.18640980124473572}, \"0.5956569314002991\": {\"frequency\": 1, \"value\": 0.5956569314002991}, \"0.6240421533584595\": {\"frequency\": 1, \"value\": 0.6240421533584595}, \"0.16662399470806122\": {\"frequency\": 1, \"value\": 0.16662399470806122}, \"0.0089657511562109\": {\"frequency\": 1, \"value\": 0.0089657511562109}, \"0.37380579113960266\": {\"frequency\": 1, \"value\": 0.37380579113960266}, \"0.23344707489013672\": {\"frequency\": 1, \"value\": 0.23344707489013672}, \"0.10107900947332382\": {\"frequency\": 1, \"value\": 0.10107900947332382}, \"0.639096736907959\": {\"frequency\": 1, \"value\": 0.639096736907959}, \"0.23601830005645752\": {\"frequency\": 1, \"value\": 0.23601830005645752}, \"0.5925528407096863\": {\"frequency\": 1, \"value\": 0.5925528407096863}, \"0.2719024419784546\": {\"frequency\": 1, \"value\": 0.2719024419784546}, \"0.1570717692375183\": {\"frequency\": 1, \"value\": 0.1570717692375183}, \"0.3556515872478485\": {\"frequency\": 1, \"value\": 0.3556515872478485}, \"0.19120904803276062\": {\"frequency\": 1, \"value\": 0.19120904803276062}, \"0.19867447018623352\": {\"frequency\": 1, \"value\": 0.19867447018623352}, \"0.19649310410022736\": {\"frequency\": 1, \"value\": 0.19649310410022736}, \"0.4065939486026764\": {\"frequency\": 1, \"value\": 0.4065939486026764}, \"0.23288674652576447\": {\"frequency\": 1, \"value\": 0.23288674652576447}, \"0.3992299735546112\": {\"frequency\": 1, \"value\": 0.3992299735546112}, \"0.08964654058218002\": {\"frequency\": 1, \"value\": 0.08964654058218002}, \"0.336419016122818\": {\"frequency\": 1, \"value\": 0.336419016122818}, \"0.20175109803676605\": {\"frequency\": 1, \"value\": 0.20175109803676605}, \"0.2844209372997284\": {\"frequency\": 1, \"value\": 0.2844209372997284}, \"0.11682572215795517\": {\"frequency\": 1, \"value\": 0.11682572215795517}, \"0.3518580198287964\": {\"frequency\": 1, \"value\": 0.3518580198287964}, \"0.3739633858203888\": {\"frequency\": 1, \"value\": 0.3739633858203888}, \"0.21486428380012512\": {\"frequency\": 1, \"value\": 0.21486428380012512}, \"0.22629408538341522\": {\"frequency\": 1, \"value\": 0.22629408538341522}, \"0.4162684977054596\": {\"frequency\": 1, \"value\": 0.4162684977054596}, \"0.09120063483715057\": {\"frequency\": 1, \"value\": 0.09120063483715057}, \"0.6259865164756775\": {\"frequency\": 1, \"value\": 0.6259865164756775}, \"0.16853012144565582\": {\"frequency\": 1, \"value\": 0.16853012144565582}, \"0.09948180615901947\": {\"frequency\": 1, \"value\": 0.09948180615901947}, \"0.18908855319023132\": {\"frequency\": 1, \"value\": 0.18908855319023132}, \"0.4049067497253418\": {\"frequency\": 1, \"value\": 0.4049067497253418}, \"0.2816806435585022\": {\"frequency\": 1, \"value\": 0.2816806435585022}, \"0.22425061464309692\": {\"frequency\": 1, \"value\": 0.22425061464309692}, \"0.43137747049331665\": {\"frequency\": 1, \"value\": 0.43137747049331665}, \"0.3256012499332428\": {\"frequency\": 1, \"value\": 0.3256012499332428}, \"0.5754464864730835\": {\"frequency\": 1, \"value\": 0.5754464864730835}, \"0.3933541476726532\": {\"frequency\": 1, \"value\": 0.3933541476726532}, \"0.11486047506332397\": {\"frequency\": 1, \"value\": 0.11486047506332397}, \"0.3819428086280823\": {\"frequency\": 1, \"value\": 0.3819428086280823}, \"0.21374408900737762\": {\"frequency\": 1, \"value\": 0.21374408900737762}, \"0.21084685623645782\": {\"frequency\": 1, \"value\": 0.21084685623645782}, \"0.17753159999847412\": {\"frequency\": 1, \"value\": 0.17753159999847412}, \"0.3921414613723755\": {\"frequency\": 1, \"value\": 0.3921414613723755}, \"0.3294125497341156\": {\"frequency\": 1, \"value\": 0.3294125497341156}, \"0.2846585214138031\": {\"frequency\": 1, \"value\": 0.2846585214138031}, \"0.3028375506401062\": {\"frequency\": 1, \"value\": 0.3028375506401062}, \"0.22633983194828033\": {\"frequency\": 1, \"value\": 0.22633983194828033}, \"0.3376067578792572\": {\"frequency\": 1, \"value\": 0.3376067578792572}, \"0.6437690258026123\": {\"frequency\": 1, \"value\": 0.6437690258026123}, \"0.23047450184822083\": {\"frequency\": 1, \"value\": 0.23047450184822083}, \"0.16890068352222443\": {\"frequency\": 1, \"value\": 0.16890068352222443}, \"0.19403287768363953\": {\"frequency\": 1, \"value\": 0.19403287768363953}, \"0.15959669649600983\": {\"frequency\": 1, \"value\": 0.15959669649600983}, \"0.4121747612953186\": {\"frequency\": 1, \"value\": 0.4121747612953186}, \"0.28006240725517273\": {\"frequency\": 1, \"value\": 0.28006240725517273}, \"0.6212819218635559\": {\"frequency\": 1, \"value\": 0.6212819218635559}, \"0.048931680619716644\": {\"frequency\": 1, \"value\": 0.048931680619716644}, \"0.3302447497844696\": {\"frequency\": 1, \"value\": 0.3302447497844696}, \"0.3893733620643616\": {\"frequency\": 1, \"value\": 0.3893733620643616}, \"0.4723060131072998\": {\"frequency\": 1, \"value\": 0.4723060131072998}, \"0.6496826410293579\": {\"frequency\": 1, \"value\": 0.6496826410293579}, \"0.466092050075531\": {\"frequency\": 1, \"value\": 0.466092050075531}, \"0.23278941214084625\": {\"frequency\": 1, \"value\": 0.23278941214084625}, \"0.2648915946483612\": {\"frequency\": 1, \"value\": 0.2648915946483612}, \"0.028988761827349663\": {\"frequency\": 1, \"value\": 0.028988761827349663}, \"0.15707923471927643\": {\"frequency\": 1, \"value\": 0.15707923471927643}, \"0.5019591450691223\": {\"frequency\": 1, \"value\": 0.5019591450691223}, \"0.18575534224510193\": {\"frequency\": 1, \"value\": 0.18575534224510193}, \"0.5584705471992493\": {\"frequency\": 1, \"value\": 0.5584705471992493}, \"0.2851097285747528\": {\"frequency\": 1, \"value\": 0.2851097285747528}, \"0.5122857093811035\": {\"frequency\": 1, \"value\": 0.5122857093811035}, \"0.3770935833454132\": {\"frequency\": 1, \"value\": 0.3770935833454132}, \"0.034463562071323395\": {\"frequency\": 1, \"value\": 0.034463562071323395}, \"0.09558521956205368\": {\"frequency\": 1, \"value\": 0.09558521956205368}, \"0.3358376920223236\": {\"frequency\": 1, \"value\": 0.3358376920223236}, \"0.09470639377832413\": {\"frequency\": 1, \"value\": 0.09470639377832413}, \"0.5147581100463867\": {\"frequency\": 1, \"value\": 0.5147581100463867}, \"0.4231944978237152\": {\"frequency\": 1, \"value\": 0.4231944978237152}, \"0.24027523398399353\": {\"frequency\": 1, \"value\": 0.24027523398399353}, \"0.4986131191253662\": {\"frequency\": 1, \"value\": 0.4986131191253662}, \"0.09838242828845978\": {\"frequency\": 1, \"value\": 0.09838242828845978}, \"0.31288591027259827\": {\"frequency\": 1, \"value\": 0.31288591027259827}, \"0.6885173916816711\": {\"frequency\": 1, \"value\": 0.6885173916816711}, \"0.06125115230679512\": {\"frequency\": 1, \"value\": 0.06125115230679512}, \"0.22440487146377563\": {\"frequency\": 1, \"value\": 0.22440487146377563}, \"0.14677712321281433\": {\"frequency\": 1, \"value\": 0.14677712321281433}, \"0.5575157403945923\": {\"frequency\": 1, \"value\": 0.5575157403945923}, \"0.30173346400260925\": {\"frequency\": 1, \"value\": 0.30173346400260925}, \"0.5171965956687927\": {\"frequency\": 1, \"value\": 0.5171965956687927}, \"0.2591305375099182\": {\"frequency\": 1, \"value\": 0.2591305375099182}, \"0.08728601783514023\": {\"frequency\": 1, \"value\": 0.08728601783514023}, \"0.0628829225897789\": {\"frequency\": 1, \"value\": 0.0628829225897789}, \"0.4249383509159088\": {\"frequency\": 1, \"value\": 0.4249383509159088}, \"0.6251949071884155\": {\"frequency\": 1, \"value\": 0.6251949071884155}, \"0.3805086314678192\": {\"frequency\": 1, \"value\": 0.3805086314678192}, \"0.3077871799468994\": {\"frequency\": 1, \"value\": 0.3077871799468994}, \"0.5847046971321106\": {\"frequency\": 1, \"value\": 0.5847046971321106}, \"0.14320196211338043\": {\"frequency\": 1, \"value\": 0.14320196211338043}, \"0.18217484652996063\": {\"frequency\": 1, \"value\": 0.18217484652996063}, \"0.10991964489221573\": {\"frequency\": 1, \"value\": 0.10991964489221573}, \"0.2525009512901306\": {\"frequency\": 1, \"value\": 0.2525009512901306}, \"0.18297217786312103\": {\"frequency\": 1, \"value\": 0.18297217786312103}, \"0.2965799570083618\": {\"frequency\": 1, \"value\": 0.2965799570083618}, \"0.10377422720193863\": {\"frequency\": 1, \"value\": 0.10377422720193863}, \"0.32984209060668945\": {\"frequency\": 1, \"value\": 0.32984209060668945}, \"0.23087823390960693\": {\"frequency\": 1, \"value\": 0.23087823390960693}, \"0.5822831988334656\": {\"frequency\": 1, \"value\": 0.5822831988334656}, \"0.19871464371681213\": {\"frequency\": 1, \"value\": 0.19871464371681213}, \"0.20678751170635223\": {\"frequency\": 1, \"value\": 0.20678751170635223}, \"0.5358002185821533\": {\"frequency\": 1, \"value\": 0.5358002185821533}, \"0.2143506556749344\": {\"frequency\": 1, \"value\": 0.2143506556749344}, \"0.41416820883750916\": {\"frequency\": 1, \"value\": 0.41416820883750916}, \"0.3409186005592346\": {\"frequency\": 1, \"value\": 0.3409186005592346}, \"0.21090124547481537\": {\"frequency\": 1, \"value\": 0.21090124547481537}, \"0.01912803202867508\": {\"frequency\": 1, \"value\": 0.01912803202867508}, \"0.1533907949924469\": {\"frequency\": 1, \"value\": 0.1533907949924469}, \"0.16875994205474854\": {\"frequency\": 1, \"value\": 0.16875994205474854}, \"0.250081330537796\": {\"frequency\": 1, \"value\": 0.250081330537796}, \"0.3015664219856262\": {\"frequency\": 1, \"value\": 0.3015664219856262}, \"0.6319339275360107\": {\"frequency\": 1, \"value\": 0.6319339275360107}, \"0.2822546064853668\": {\"frequency\": 1, \"value\": 0.2822546064853668}, \"0.37937092781066895\": {\"frequency\": 1, \"value\": 0.37937092781066895}, \"0.339049756526947\": {\"frequency\": 1, \"value\": 0.339049756526947}, \"0.17119286954402924\": {\"frequency\": 1, \"value\": 0.17119286954402924}, \"0.40313708782196045\": {\"frequency\": 1, \"value\": 0.40313708782196045}, \"0.09799041599035263\": {\"frequency\": 1, \"value\": 0.09799041599035263}, \"0.20846064388751984\": {\"frequency\": 1, \"value\": 0.20846064388751984}, \"0.3156362473964691\": {\"frequency\": 1, \"value\": 0.3156362473964691}, \"0.2871853709220886\": {\"frequency\": 1, \"value\": 0.2871853709220886}, \"0.6324301958084106\": {\"frequency\": 1, \"value\": 0.6324301958084106}, \"0.39361000061035156\": {\"frequency\": 1, \"value\": 0.39361000061035156}, \"0.33626168966293335\": {\"frequency\": 1, \"value\": 0.33626168966293335}, \"0.22184744477272034\": {\"frequency\": 1, \"value\": 0.22184744477272034}, \"0.19857876002788544\": {\"frequency\": 1, \"value\": 0.19857876002788544}, \"0.06472298502922058\": {\"frequency\": 1, \"value\": 0.06472298502922058}, \"0.10479902476072311\": {\"frequency\": 1, \"value\": 0.10479902476072311}, \"0.3429259657859802\": {\"frequency\": 1, \"value\": 0.3429259657859802}, \"0.12815994024276733\": {\"frequency\": 1, \"value\": 0.12815994024276733}, \"0.5308281183242798\": {\"frequency\": 1, \"value\": 0.5308281183242798}, \"0.2946796119213104\": {\"frequency\": 1, \"value\": 0.2946796119213104}, \"0.07325555384159088\": {\"frequency\": 1, \"value\": 0.07325555384159088}, \"0.18262581527233124\": {\"frequency\": 1, \"value\": 0.18262581527233124}, \"0.22014814615249634\": {\"frequency\": 1, \"value\": 0.22014814615249634}, \"0.13066494464874268\": {\"frequency\": 1, \"value\": 0.13066494464874268}, \"0.2664682865142822\": {\"frequency\": 1, \"value\": 0.2664682865142822}, \"0.296436071395874\": {\"frequency\": 1, \"value\": 0.296436071395874}, \"0.2787715196609497\": {\"frequency\": 1, \"value\": 0.2787715196609497}, \"0.6251076459884644\": {\"frequency\": 1, \"value\": 0.6251076459884644}, \"0.5133561491966248\": {\"frequency\": 1, \"value\": 0.5133561491966248}, \"0.25281190872192383\": {\"frequency\": 1, \"value\": 0.25281190872192383}, \"0.7358725666999817\": {\"frequency\": 1, \"value\": 0.7358725666999817}, \"0.34696057438850403\": {\"frequency\": 1, \"value\": 0.34696057438850403}, \"0.25043541193008423\": {\"frequency\": 1, \"value\": 0.25043541193008423}, \"0.33860263228416443\": {\"frequency\": 1, \"value\": 0.33860263228416443}, \"0.6412519216537476\": {\"frequency\": 1, \"value\": 0.6412519216537476}, \"0.43855738639831543\": {\"frequency\": 1, \"value\": 0.43855738639831543}, \"0.14365582168102264\": {\"frequency\": 1, \"value\": 0.14365582168102264}, \"0.3474388122558594\": {\"frequency\": 1, \"value\": 0.3474388122558594}, \"0.21764692664146423\": {\"frequency\": 1, \"value\": 0.21764692664146423}, \"0.6947991251945496\": {\"frequency\": 1, \"value\": 0.6947991251945496}, \"0.42626848816871643\": {\"frequency\": 1, \"value\": 0.42626848816871643}, \"0.6273294687271118\": {\"frequency\": 1, \"value\": 0.6273294687271118}, \"0.31515592336654663\": {\"frequency\": 1, \"value\": 0.31515592336654663}, \"0.29937830567359924\": {\"frequency\": 1, \"value\": 0.29937830567359924}, \"0.30795764923095703\": {\"frequency\": 1, \"value\": 0.30795764923095703}, \"0.16092635691165924\": {\"frequency\": 1, \"value\": 0.16092635691165924}, \"0.16878560185432434\": {\"frequency\": 1, \"value\": 0.16878560185432434}, \"0.33430013060569763\": {\"frequency\": 1, \"value\": 0.33430013060569763}, \"0.29899322986602783\": {\"frequency\": 1, \"value\": 0.29899322986602783}, \"0.2900540828704834\": {\"frequency\": 1, \"value\": 0.2900540828704834}, \"0.02576727606356144\": {\"frequency\": 1, \"value\": 0.02576727606356144}, \"0.7121866345405579\": {\"frequency\": 1, \"value\": 0.7121866345405579}, \"0.5401825308799744\": {\"frequency\": 1, \"value\": 0.5401825308799744}, \"0.26015403866767883\": {\"frequency\": 1, \"value\": 0.26015403866767883}, \"0.014659281820058823\": {\"frequency\": 1, \"value\": 0.014659281820058823}, \"0.19305114448070526\": {\"frequency\": 1, \"value\": 0.19305114448070526}, \"0.37875697016716003\": {\"frequency\": 1, \"value\": 0.37875697016716003}, \"0.24575310945510864\": {\"frequency\": 1, \"value\": 0.24575310945510864}, \"0.33780625462532043\": {\"frequency\": 1, \"value\": 0.33780625462532043}, \"0.34095150232315063\": {\"frequency\": 1, \"value\": 0.34095150232315063}, \"0.15136127173900604\": {\"frequency\": 1, \"value\": 0.15136127173900604}, \"0.512993574142456\": {\"frequency\": 1, \"value\": 0.512993574142456}, \"0.7109482288360596\": {\"frequency\": 1, \"value\": 0.7109482288360596}, \"0.25590482354164124\": {\"frequency\": 1, \"value\": 0.25590482354164124}, \"0.47957009077072144\": {\"frequency\": 1, \"value\": 0.47957009077072144}, \"0.19804392755031586\": {\"frequency\": 1, \"value\": 0.19804392755031586}, \"0.35680755972862244\": {\"frequency\": 1, \"value\": 0.35680755972862244}, \"0.08755872398614883\": {\"frequency\": 1, \"value\": 0.08755872398614883}, \"0.32278627157211304\": {\"frequency\": 1, \"value\": 0.32278627157211304}, \"0.46547406911849976\": {\"frequency\": 1, \"value\": 0.46547406911849976}, \"0.2513667643070221\": {\"frequency\": 1, \"value\": 0.2513667643070221}, \"0.37671276926994324\": {\"frequency\": 1, \"value\": 0.37671276926994324}, \"0.47945883870124817\": {\"frequency\": 1, \"value\": 0.47945883870124817}, \"0.09811974316835403\": {\"frequency\": 1, \"value\": 0.09811974316835403}, \"0.29929548501968384\": {\"frequency\": 1, \"value\": 0.29929548501968384}, \"0.24311260879039764\": {\"frequency\": 1, \"value\": 0.24311260879039764}, \"0.06570229679346085\": {\"frequency\": 1, \"value\": 0.06570229679346085}, \"0.26745063066482544\": {\"frequency\": 1, \"value\": 0.26745063066482544}, \"0.08275898545980453\": {\"frequency\": 1, \"value\": 0.08275898545980453}, \"0.3536809980869293\": {\"frequency\": 1, \"value\": 0.3536809980869293}, \"0.10176526010036469\": {\"frequency\": 1, \"value\": 0.10176526010036469}, \"0.22508834302425385\": {\"frequency\": 1, \"value\": 0.22508834302425385}, \"0.3173973262310028\": {\"frequency\": 1, \"value\": 0.3173973262310028}, \"0.1884334236383438\": {\"frequency\": 1, \"value\": 0.1884334236383438}, \"0.08829963207244873\": {\"frequency\": 1, \"value\": 0.08829963207244873}, \"0.03130752593278885\": {\"frequency\": 1, \"value\": 0.03130752593278885}, \"0.16433171927928925\": {\"frequency\": 1, \"value\": 0.16433171927928925}, \"0.51091068983078\": {\"frequency\": 1, \"value\": 0.51091068983078}, \"0.6342977285385132\": {\"frequency\": 1, \"value\": 0.6342977285385132}, \"0.27193450927734375\": {\"frequency\": 1, \"value\": 0.27193450927734375}, \"0.10742980241775513\": {\"frequency\": 1, \"value\": 0.10742980241775513}, \"0.11646431684494019\": {\"frequency\": 1, \"value\": 0.11646431684494019}, \"0.27610236406326294\": {\"frequency\": 1, \"value\": 0.27610236406326294}, \"0.08406373113393784\": {\"frequency\": 1, \"value\": 0.08406373113393784}, \"0.23793357610702515\": {\"frequency\": 1, \"value\": 0.23793357610702515}, \"0.31625646352767944\": {\"frequency\": 1, \"value\": 0.31625646352767944}, \"0.30159470438957214\": {\"frequency\": 1, \"value\": 0.30159470438957214}, \"0.7536563277244568\": {\"frequency\": 1, \"value\": 0.7536563277244568}, \"0.14141952991485596\": {\"frequency\": 1, \"value\": 0.14141952991485596}, \"0.3810957670211792\": {\"frequency\": 1, \"value\": 0.3810957670211792}, \"0.07382895797491074\": {\"frequency\": 1, \"value\": 0.07382895797491074}, \"0.18709903955459595\": {\"frequency\": 1, \"value\": 0.18709903955459595}, \"0.7132743000984192\": {\"frequency\": 1, \"value\": 0.7132743000984192}, \"0.06497268378734589\": {\"frequency\": 1, \"value\": 0.06497268378734589}, \"0.68923419713974\": {\"frequency\": 1, \"value\": 0.68923419713974}, \"0.5451340675354004\": {\"frequency\": 1, \"value\": 0.5451340675354004}, \"0.22117869555950165\": {\"frequency\": 1, \"value\": 0.22117869555950165}, \"0.7400028109550476\": {\"frequency\": 1, \"value\": 0.7400028109550476}, \"0.22258444130420685\": {\"frequency\": 1, \"value\": 0.22258444130420685}, \"0.49924227595329285\": {\"frequency\": 1, \"value\": 0.49924227595329285}, \"0.242940753698349\": {\"frequency\": 1, \"value\": 0.242940753698349}, \"0.30518293380737305\": {\"frequency\": 1, \"value\": 0.30518293380737305}, \"0.5048067569732666\": {\"frequency\": 1, \"value\": 0.5048067569732666}, \"0.7196761965751648\": {\"frequency\": 1, \"value\": 0.7196761965751648}, \"0.3140660226345062\": {\"frequency\": 1, \"value\": 0.3140660226345062}, \"0.35134100914001465\": {\"frequency\": 1, \"value\": 0.35134100914001465}, \"0.1712079793214798\": {\"frequency\": 1, \"value\": 0.1712079793214798}, \"0.32232072949409485\": {\"frequency\": 1, \"value\": 0.32232072949409485}, \"0.3374826908111572\": {\"frequency\": 1, \"value\": 0.3374826908111572}, \"0.607402503490448\": {\"frequency\": 1, \"value\": 0.607402503490448}, \"0.26202574372291565\": {\"frequency\": 1, \"value\": 0.26202574372291565}, \"0.23103901743888855\": {\"frequency\": 1, \"value\": 0.23103901743888855}, \"0.44136905670166016\": {\"frequency\": 1, \"value\": 0.44136905670166016}, \"0.12949395179748535\": {\"frequency\": 1, \"value\": 0.12949395179748535}, \"0.33988189697265625\": {\"frequency\": 1, \"value\": 0.33988189697265625}, \"0.6254349946975708\": {\"frequency\": 1, \"value\": 0.6254349946975708}, \"0.07135012745857239\": {\"frequency\": 1, \"value\": 0.07135012745857239}, \"0.10317378491163254\": {\"frequency\": 1, \"value\": 0.10317378491163254}, \"0.08299452066421509\": {\"frequency\": 1, \"value\": 0.08299452066421509}, \"0.3085593283176422\": {\"frequency\": 1, \"value\": 0.3085593283176422}, \"0.33514440059661865\": {\"frequency\": 1, \"value\": 0.33514440059661865}, \"0.25235602259635925\": {\"frequency\": 1, \"value\": 0.25235602259635925}, \"0.029398471117019653\": {\"frequency\": 1, \"value\": 0.029398471117019653}, \"0.22875334322452545\": {\"frequency\": 1, \"value\": 0.22875334322452545}, \"0.38001686334609985\": {\"frequency\": 1, \"value\": 0.38001686334609985}, \"0.14532022178173065\": {\"frequency\": 1, \"value\": 0.14532022178173065}, \"0.26680052280426025\": {\"frequency\": 1, \"value\": 0.26680052280426025}, \"0.27980488538742065\": {\"frequency\": 1, \"value\": 0.27980488538742065}, \"0.12365882843732834\": {\"frequency\": 1, \"value\": 0.12365882843732834}, \"0.05646883696317673\": {\"frequency\": 1, \"value\": 0.05646883696317673}, \"0.35141462087631226\": {\"frequency\": 1, \"value\": 0.35141462087631226}, \"0.35001662373542786\": {\"frequency\": 1, \"value\": 0.35001662373542786}, \"0.6680966019630432\": {\"frequency\": 1, \"value\": 0.6680966019630432}, \"0.5158573389053345\": {\"frequency\": 1, \"value\": 0.5158573389053345}, \"0.051762644201517105\": {\"frequency\": 1, \"value\": 0.051762644201517105}, \"0.15865954756736755\": {\"frequency\": 1, \"value\": 0.15865954756736755}, \"0.26213955879211426\": {\"frequency\": 1, \"value\": 0.26213955879211426}, \"0.43850257992744446\": {\"frequency\": 1, \"value\": 0.43850257992744446}, \"0.49242907762527466\": {\"frequency\": 1, \"value\": 0.49242907762527466}, \"0.10935577005147934\": {\"frequency\": 1, \"value\": 0.10935577005147934}, \"0.038955140858888626\": {\"frequency\": 1, \"value\": 0.038955140858888626}, \"0.18413712084293365\": {\"frequency\": 1, \"value\": 0.18413712084293365}, \"0.11031283438205719\": {\"frequency\": 1, \"value\": 0.11031283438205719}, \"0.08619680255651474\": {\"frequency\": 1, \"value\": 0.08619680255651474}, \"0.26649630069732666\": {\"frequency\": 1, \"value\": 0.26649630069732666}, \"0.15405066311359406\": {\"frequency\": 1, \"value\": 0.15405066311359406}, \"0.6354020833969116\": {\"frequency\": 1, \"value\": 0.6354020833969116}, \"0.31017276644706726\": {\"frequency\": 1, \"value\": 0.31017276644706726}, \"0.46834731101989746\": {\"frequency\": 1, \"value\": 0.46834731101989746}, \"0.19024838507175446\": {\"frequency\": 1, \"value\": 0.19024838507175446}, \"0.46145808696746826\": {\"frequency\": 1, \"value\": 0.46145808696746826}, \"0.19611071050167084\": {\"frequency\": 1, \"value\": 0.19611071050167084}, \"0.16750672459602356\": {\"frequency\": 1, \"value\": 0.16750672459602356}, \"0.42206844687461853\": {\"frequency\": 1, \"value\": 0.42206844687461853}, \"0.26020047068595886\": {\"frequency\": 1, \"value\": 0.26020047068595886}, \"0.616462767124176\": {\"frequency\": 1, \"value\": 0.616462767124176}, \"0.16878798604011536\": {\"frequency\": 1, \"value\": 0.16878798604011536}, \"0.30656635761260986\": {\"frequency\": 1, \"value\": 0.30656635761260986}, \"0.34261342883110046\": {\"frequency\": 1, \"value\": 0.34261342883110046}, \"0.49712586402893066\": {\"frequency\": 1, \"value\": 0.49712586402893066}, \"0.13637177646160126\": {\"frequency\": 1, \"value\": 0.13637177646160126}, \"0.19634050130844116\": {\"frequency\": 1, \"value\": 0.19634050130844116}, \"0.42243432998657227\": {\"frequency\": 1, \"value\": 0.42243432998657227}, \"0.17487648129463196\": {\"frequency\": 1, \"value\": 0.17487648129463196}, \"0.5187541842460632\": {\"frequency\": 1, \"value\": 0.5187541842460632}, \"0.09848133474588394\": {\"frequency\": 1, \"value\": 0.09848133474588394}, \"0.11881560832262039\": {\"frequency\": 1, \"value\": 0.11881560832262039}, \"0.25936776399612427\": {\"frequency\": 1, \"value\": 0.25936776399612427}, \"0.7087265849113464\": {\"frequency\": 1, \"value\": 0.7087265849113464}, \"0.5648916363716125\": {\"frequency\": 1, \"value\": 0.5648916363716125}, \"0.28755348920822144\": {\"frequency\": 1, \"value\": 0.28755348920822144}, \"0.4981413781642914\": {\"frequency\": 1, \"value\": 0.4981413781642914}, \"0.16834305226802826\": {\"frequency\": 1, \"value\": 0.16834305226802826}, \"0.24108266830444336\": {\"frequency\": 1, \"value\": 0.24108266830444336}, \"0.4003802239894867\": {\"frequency\": 1, \"value\": 0.4003802239894867}, \"0.19822363555431366\": {\"frequency\": 1, \"value\": 0.19822363555431366}, \"0.26498568058013916\": {\"frequency\": 1, \"value\": 0.26498568058013916}, \"0.18044811487197876\": {\"frequency\": 1, \"value\": 0.18044811487197876}, \"0.17030392587184906\": {\"frequency\": 1, \"value\": 0.17030392587184906}, \"0.5072594285011292\": {\"frequency\": 1, \"value\": 0.5072594285011292}, \"0.36553889513015747\": {\"frequency\": 1, \"value\": 0.36553889513015747}, \"0.19974297285079956\": {\"frequency\": 1, \"value\": 0.19974297285079956}, \"0.16537941992282867\": {\"frequency\": 1, \"value\": 0.16537941992282867}, \"0.18997928500175476\": {\"frequency\": 1, \"value\": 0.18997928500175476}, \"0.5929670929908752\": {\"frequency\": 1, \"value\": 0.5929670929908752}, \"0.12891748547554016\": {\"frequency\": 1, \"value\": 0.12891748547554016}, \"0.14477233588695526\": {\"frequency\": 1, \"value\": 0.14477233588695526}, \"0.18066294491291046\": {\"frequency\": 1, \"value\": 0.18066294491291046}, \"0.13182052969932556\": {\"frequency\": 1, \"value\": 0.13182052969932556}, \"0.20700542628765106\": {\"frequency\": 1, \"value\": 0.20700542628765106}, \"0.2625464200973511\": {\"frequency\": 1, \"value\": 0.2625464200973511}, \"0.12998099625110626\": {\"frequency\": 1, \"value\": 0.12998099625110626}, \"0.20220237970352173\": {\"frequency\": 1, \"value\": 0.20220237970352173}, \"0.46860235929489136\": {\"frequency\": 1, \"value\": 0.46860235929489136}, \"0.06435250490903854\": {\"frequency\": 1, \"value\": 0.06435250490903854}, \"0.20656776428222656\": {\"frequency\": 1, \"value\": 0.20656776428222656}, \"0.2937470078468323\": {\"frequency\": 1, \"value\": 0.2937470078468323}, \"0.3696820139884949\": {\"frequency\": 1, \"value\": 0.3696820139884949}, \"0.5877955555915833\": {\"frequency\": 1, \"value\": 0.5877955555915833}, \"0.12551888823509216\": {\"frequency\": 1, \"value\": 0.12551888823509216}, \"0.2830299437046051\": {\"frequency\": 1, \"value\": 0.2830299437046051}, \"0.1072579175233841\": {\"frequency\": 1, \"value\": 0.1072579175233841}, \"0.7297865748405457\": {\"frequency\": 1, \"value\": 0.7297865748405457}, \"0.3398479223251343\": {\"frequency\": 1, \"value\": 0.3398479223251343}, \"0.15834732353687286\": {\"frequency\": 1, \"value\": 0.15834732353687286}, \"0.0748044103384018\": {\"frequency\": 1, \"value\": 0.0748044103384018}, \"0.0746833086013794\": {\"frequency\": 1, \"value\": 0.0746833086013794}, \"0.10763514041900635\": {\"frequency\": 1, \"value\": 0.10763514041900635}, \"0.3412347733974457\": {\"frequency\": 1, \"value\": 0.3412347733974457}, \"0.5495569109916687\": {\"frequency\": 1, \"value\": 0.5495569109916687}, \"0.304907888174057\": {\"frequency\": 1, \"value\": 0.304907888174057}, \"0.4200350344181061\": {\"frequency\": 1, \"value\": 0.4200350344181061}, \"0.8305410742759705\": {\"frequency\": 1, \"value\": 0.8305410742759705}, \"0.1217452883720398\": {\"frequency\": 1, \"value\": 0.1217452883720398}, \"0.18214836716651917\": {\"frequency\": 1, \"value\": 0.18214836716651917}, \"0.3144272565841675\": {\"frequency\": 1, \"value\": 0.3144272565841675}, \"0.04285036399960518\": {\"frequency\": 1, \"value\": 0.04285036399960518}, \"0.42475810647010803\": {\"frequency\": 1, \"value\": 0.42475810647010803}, \"0.15355920791625977\": {\"frequency\": 1, \"value\": 0.15355920791625977}, \"0.2500506341457367\": {\"frequency\": 1, \"value\": 0.2500506341457367}, \"0.07395245879888535\": {\"frequency\": 1, \"value\": 0.07395245879888535}, \"0.3037005662918091\": {\"frequency\": 1, \"value\": 0.3037005662918091}, \"0.4237491190433502\": {\"frequency\": 1, \"value\": 0.4237491190433502}, \"0.4170753061771393\": {\"frequency\": 1, \"value\": 0.4170753061771393}, \"0.5171836614608765\": {\"frequency\": 1, \"value\": 0.5171836614608765}, \"0.7094631791114807\": {\"frequency\": 1, \"value\": 0.7094631791114807}, \"0.06661491841077805\": {\"frequency\": 1, \"value\": 0.06661491841077805}, \"0.15115822851657867\": {\"frequency\": 1, \"value\": 0.15115822851657867}, \"0.08523160964250565\": {\"frequency\": 1, \"value\": 0.08523160964250565}, \"0.3179333806037903\": {\"frequency\": 1, \"value\": 0.3179333806037903}, \"0.12202151864767075\": {\"frequency\": 1, \"value\": 0.12202151864767075}, \"0.08132138103246689\": {\"frequency\": 1, \"value\": 0.08132138103246689}, \"0.7136829495429993\": {\"frequency\": 1, \"value\": 0.7136829495429993}, \"0.0846618264913559\": {\"frequency\": 1, \"value\": 0.0846618264913559}, \"0.4410263001918793\": {\"frequency\": 1, \"value\": 0.4410263001918793}, \"0.07212818413972855\": {\"frequency\": 1, \"value\": 0.07212818413972855}, \"0.5528541207313538\": {\"frequency\": 1, \"value\": 0.5528541207313538}, \"0.19845807552337646\": {\"frequency\": 1, \"value\": 0.19845807552337646}, \"0.19254952669143677\": {\"frequency\": 1, \"value\": 0.19254952669143677}, \"0.4002930521965027\": {\"frequency\": 1, \"value\": 0.4002930521965027}, \"0.4084431827068329\": {\"frequency\": 1, \"value\": 0.4084431827068329}, \"0.08586496859788895\": {\"frequency\": 1, \"value\": 0.08586496859788895}, \"0.18908408284187317\": {\"frequency\": 1, \"value\": 0.18908408284187317}, \"0.26526182889938354\": {\"frequency\": 1, \"value\": 0.26526182889938354}, \"0.24770523607730865\": {\"frequency\": 1, \"value\": 0.24770523607730865}, \"0.4364127814769745\": {\"frequency\": 1, \"value\": 0.4364127814769745}, \"0.2751293182373047\": {\"frequency\": 1, \"value\": 0.2751293182373047}, \"0.4546380043029785\": {\"frequency\": 1, \"value\": 0.4546380043029785}, \"0.0798955112695694\": {\"frequency\": 1, \"value\": 0.0798955112695694}, \"0.4442940652370453\": {\"frequency\": 1, \"value\": 0.4442940652370453}, \"0.04251532256603241\": {\"frequency\": 1, \"value\": 0.04251532256603241}, \"0.22874651849269867\": {\"frequency\": 1, \"value\": 0.22874651849269867}, \"0.75217604637146\": {\"frequency\": 1, \"value\": 0.75217604637146}, \"0.6547248959541321\": {\"frequency\": 1, \"value\": 0.6547248959541321}, \"0.3171810805797577\": {\"frequency\": 1, \"value\": 0.3171810805797577}, \"0.7007609009742737\": {\"frequency\": 1, \"value\": 0.7007609009742737}, \"0.3046441674232483\": {\"frequency\": 1, \"value\": 0.3046441674232483}, \"0.22478631138801575\": {\"frequency\": 1, \"value\": 0.22478631138801575}, \"0.14627106487751007\": {\"frequency\": 1, \"value\": 0.14627106487751007}, \"0.17405828833580017\": {\"frequency\": 1, \"value\": 0.17405828833580017}, \"0.4720427691936493\": {\"frequency\": 1, \"value\": 0.4720427691936493}, \"0.24138200283050537\": {\"frequency\": 1, \"value\": 0.24138200283050537}, \"0.3962734341621399\": {\"frequency\": 1, \"value\": 0.3962734341621399}, \"0.4832809865474701\": {\"frequency\": 1, \"value\": 0.4832809865474701}, \"0.27875569462776184\": {\"frequency\": 1, \"value\": 0.27875569462776184}, \"0.21190589666366577\": {\"frequency\": 1, \"value\": 0.21190589666366577}, \"0.5581474304199219\": {\"frequency\": 1, \"value\": 0.5581474304199219}, \"0.2932213842868805\": {\"frequency\": 1, \"value\": 0.2932213842868805}, \"0.19707629084587097\": {\"frequency\": 1, \"value\": 0.19707629084587097}, \"0.5115646719932556\": {\"frequency\": 1, \"value\": 0.5115646719932556}, \"0.5350436568260193\": {\"frequency\": 1, \"value\": 0.5350436568260193}, \"0.11032892018556595\": {\"frequency\": 1, \"value\": 0.11032892018556595}, \"0.2686033844947815\": {\"frequency\": 1, \"value\": 0.2686033844947815}, \"0.49904829263687134\": {\"frequency\": 1, \"value\": 0.49904829263687134}, \"0.40519800782203674\": {\"frequency\": 1, \"value\": 0.40519800782203674}, \"0.1139543354511261\": {\"frequency\": 1, \"value\": 0.1139543354511261}, \"0.11525944620370865\": {\"frequency\": 1, \"value\": 0.11525944620370865}, \"0.3044101893901825\": {\"frequency\": 1, \"value\": 0.3044101893901825}, \"0.13284647464752197\": {\"frequency\": 1, \"value\": 0.13284647464752197}, \"0.3907177746295929\": {\"frequency\": 1, \"value\": 0.3907177746295929}, \"0.19449585676193237\": {\"frequency\": 1, \"value\": 0.19449585676193237}, \"0.0978153795003891\": {\"frequency\": 1, \"value\": 0.0978153795003891}, \"0.1033705472946167\": {\"frequency\": 1, \"value\": 0.1033705472946167}, \"0.4549747109413147\": {\"frequency\": 1, \"value\": 0.4549747109413147}, \"0.1238955557346344\": {\"frequency\": 1, \"value\": 0.1238955557346344}, \"0.3852478563785553\": {\"frequency\": 1, \"value\": 0.3852478563785553}, \"0.40033408999443054\": {\"frequency\": 1, \"value\": 0.40033408999443054}, \"0.16472038626670837\": {\"frequency\": 1, \"value\": 0.16472038626670837}, \"0.21031558513641357\": {\"frequency\": 1, \"value\": 0.21031558513641357}, \"0.4638078510761261\": {\"frequency\": 1, \"value\": 0.4638078510761261}, \"0.6768108606338501\": {\"frequency\": 1, \"value\": 0.6768108606338501}, \"0.3371637761592865\": {\"frequency\": 1, \"value\": 0.3371637761592865}, \"0.3029402196407318\": {\"frequency\": 1, \"value\": 0.3029402196407318}, \"0.4497489333152771\": {\"frequency\": 1, \"value\": 0.4497489333152771}, \"0.25388455390930176\": {\"frequency\": 1, \"value\": 0.25388455390930176}, \"0.31511008739471436\": {\"frequency\": 1, \"value\": 0.31511008739471436}, \"0.24955271184444427\": {\"frequency\": 1, \"value\": 0.24955271184444427}, \"0.4846649169921875\": {\"frequency\": 1, \"value\": 0.4846649169921875}, \"0.6096382737159729\": {\"frequency\": 1, \"value\": 0.6096382737159729}, \"0.4265890121459961\": {\"frequency\": 1, \"value\": 0.4265890121459961}, \"0.06744407117366791\": {\"frequency\": 1, \"value\": 0.06744407117366791}, \"0.2745039165019989\": {\"frequency\": 1, \"value\": 0.2745039165019989}, \"0.4678955674171448\": {\"frequency\": 1, \"value\": 0.4678955674171448}, \"0.2633097767829895\": {\"frequency\": 1, \"value\": 0.2633097767829895}, \"0.5908781886100769\": {\"frequency\": 1, \"value\": 0.5908781886100769}, \"0.4487384557723999\": {\"frequency\": 1, \"value\": 0.4487384557723999}, \"0.4575234055519104\": {\"frequency\": 1, \"value\": 0.4575234055519104}, \"0.15981407463550568\": {\"frequency\": 1, \"value\": 0.15981407463550568}, \"0.2581295371055603\": {\"frequency\": 1, \"value\": 0.2581295371055603}, \"0.07456933706998825\": {\"frequency\": 1, \"value\": 0.07456933706998825}, \"0.43298009037971497\": {\"frequency\": 1, \"value\": 0.43298009037971497}, \"0.3201451301574707\": {\"frequency\": 1, \"value\": 0.3201451301574707}, \"0.20193220674991608\": {\"frequency\": 1, \"value\": 0.20193220674991608}, \"0.1252506673336029\": {\"frequency\": 1, \"value\": 0.1252506673336029}, \"0.22738845646381378\": {\"frequency\": 1, \"value\": 0.22738845646381378}, \"0.5100492238998413\": {\"frequency\": 1, \"value\": 0.5100492238998413}, \"0.2808254063129425\": {\"frequency\": 1, \"value\": 0.2808254063129425}, \"0.19602148234844208\": {\"frequency\": 1, \"value\": 0.19602148234844208}, \"0.5803849697113037\": {\"frequency\": 1, \"value\": 0.5803849697113037}, \"0.107680544257164\": {\"frequency\": 1, \"value\": 0.107680544257164}, \"0.09725696593523026\": {\"frequency\": 1, \"value\": 0.09725696593523026}, \"0.22410152852535248\": {\"frequency\": 1, \"value\": 0.22410152852535248}, \"0.3328428566455841\": {\"frequency\": 1, \"value\": 0.3328428566455841}, \"0.4955287277698517\": {\"frequency\": 1, \"value\": 0.4955287277698517}, \"0.17422538995742798\": {\"frequency\": 1, \"value\": 0.17422538995742798}, \"0.0811832845211029\": {\"frequency\": 1, \"value\": 0.0811832845211029}, \"0.37098556756973267\": {\"frequency\": 1, \"value\": 0.37098556756973267}, \"0.4267022907733917\": {\"frequency\": 1, \"value\": 0.4267022907733917}, \"0.2746308147907257\": {\"frequency\": 1, \"value\": 0.2746308147907257}, \"0.21393729746341705\": {\"frequency\": 1, \"value\": 0.21393729746341705}, \"0.5111028552055359\": {\"frequency\": 1, \"value\": 0.5111028552055359}, \"0.0923103392124176\": {\"frequency\": 1, \"value\": 0.0923103392124176}, \"0.16383633017539978\": {\"frequency\": 1, \"value\": 0.16383633017539978}, \"0.19333253800868988\": {\"frequency\": 1, \"value\": 0.19333253800868988}, \"0.22795569896697998\": {\"frequency\": 1, \"value\": 0.22795569896697998}, \"0.17215527594089508\": {\"frequency\": 1, \"value\": 0.17215527594089508}, \"0.15845482051372528\": {\"frequency\": 1, \"value\": 0.15845482051372528}, \"0.31289729475975037\": {\"frequency\": 1, \"value\": 0.31289729475975037}, \"0.5759966373443604\": {\"frequency\": 1, \"value\": 0.5759966373443604}, \"0.25109416246414185\": {\"frequency\": 1, \"value\": 0.25109416246414185}, \"0.5751308798789978\": {\"frequency\": 1, \"value\": 0.5751308798789978}, \"0.19492720067501068\": {\"frequency\": 1, \"value\": 0.19492720067501068}, \"0.2682361602783203\": {\"frequency\": 1, \"value\": 0.2682361602783203}, \"0.20987039804458618\": {\"frequency\": 1, \"value\": 0.20987039804458618}, \"0.15703018009662628\": {\"frequency\": 1, \"value\": 0.15703018009662628}, \"0.14511454105377197\": {\"frequency\": 1, \"value\": 0.14511454105377197}, \"0.3669416308403015\": {\"frequency\": 1, \"value\": 0.3669416308403015}, \"0.6249241232872009\": {\"frequency\": 1, \"value\": 0.6249241232872009}, \"0.3135293126106262\": {\"frequency\": 1, \"value\": 0.3135293126106262}, \"0.5847058296203613\": {\"frequency\": 1, \"value\": 0.5847058296203613}, \"0.11627229303121567\": {\"frequency\": 1, \"value\": 0.11627229303121567}, \"0.2453320026397705\": {\"frequency\": 1, \"value\": 0.2453320026397705}, \"0.0631919652223587\": {\"frequency\": 1, \"value\": 0.0631919652223587}, \"0.3981097638607025\": {\"frequency\": 1, \"value\": 0.3981097638607025}, \"0.03883008658885956\": {\"frequency\": 1, \"value\": 0.03883008658885956}, \"0.3097996413707733\": {\"frequency\": 1, \"value\": 0.3097996413707733}, \"0.6661577224731445\": {\"frequency\": 1, \"value\": 0.6661577224731445}, \"0.08831517398357391\": {\"frequency\": 1, \"value\": 0.08831517398357391}, \"0.3321423828601837\": {\"frequency\": 1, \"value\": 0.3321423828601837}, \"0.19776847958564758\": {\"frequency\": 1, \"value\": 0.19776847958564758}, \"0.21996453404426575\": {\"frequency\": 1, \"value\": 0.21996453404426575}, \"0.5173695087432861\": {\"frequency\": 1, \"value\": 0.5173695087432861}, \"0.23248513042926788\": {\"frequency\": 1, \"value\": 0.23248513042926788}, \"0.12790760397911072\": {\"frequency\": 1, \"value\": 0.12790760397911072}, \"0.3324877619743347\": {\"frequency\": 1, \"value\": 0.3324877619743347}, \"0.1472112089395523\": {\"frequency\": 1, \"value\": 0.1472112089395523}, \"0.17447933554649353\": {\"frequency\": 1, \"value\": 0.17447933554649353}, \"0.2723758816719055\": {\"frequency\": 1, \"value\": 0.2723758816719055}, \"0.3241051137447357\": {\"frequency\": 1, \"value\": 0.3241051137447357}, \"0.44741061329841614\": {\"frequency\": 1, \"value\": 0.44741061329841614}, \"0.0683428943157196\": {\"frequency\": 1, \"value\": 0.0683428943157196}, \"0.14290949702262878\": {\"frequency\": 1, \"value\": 0.14290949702262878}, \"0.14435069262981415\": {\"frequency\": 1, \"value\": 0.14435069262981415}, \"0.014499454759061337\": {\"frequency\": 1, \"value\": 0.014499454759061337}, \"0.2841387093067169\": {\"frequency\": 1, \"value\": 0.2841387093067169}, \"0.12741044163703918\": {\"frequency\": 1, \"value\": 0.12741044163703918}, \"0.2645502984523773\": {\"frequency\": 1, \"value\": 0.2645502984523773}, \"0.17975455522537231\": {\"frequency\": 1, \"value\": 0.17975455522537231}, \"0.24226818978786469\": {\"frequency\": 1, \"value\": 0.24226818978786469}, \"0.3181445598602295\": {\"frequency\": 1, \"value\": 0.3181445598602295}, \"0.13202440738677979\": {\"frequency\": 1, \"value\": 0.13202440738677979}, \"0.2543375492095947\": {\"frequency\": 1, \"value\": 0.2543375492095947}, \"0.22209994494915009\": {\"frequency\": 1, \"value\": 0.22209994494915009}, \"0.4301255941390991\": {\"frequency\": 1, \"value\": 0.4301255941390991}, \"0.3732122480869293\": {\"frequency\": 1, \"value\": 0.3732122480869293}, \"0.1053236573934555\": {\"frequency\": 1, \"value\": 0.1053236573934555}, \"0.10144128650426865\": {\"frequency\": 1, \"value\": 0.10144128650426865}, \"0.3833518326282501\": {\"frequency\": 1, \"value\": 0.3833518326282501}, \"0.0989474207162857\": {\"frequency\": 1, \"value\": 0.0989474207162857}, \"0.3793273866176605\": {\"frequency\": 1, \"value\": 0.3793273866176605}, \"0.6289340853691101\": {\"frequency\": 1, \"value\": 0.6289340853691101}, \"0.06307889521121979\": {\"frequency\": 1, \"value\": 0.06307889521121979}, \"0.34903696179389954\": {\"frequency\": 1, \"value\": 0.34903696179389954}, \"0.6142978072166443\": {\"frequency\": 1, \"value\": 0.6142978072166443}, \"0.1979741007089615\": {\"frequency\": 1, \"value\": 0.1979741007089615}, \"0.4234998822212219\": {\"frequency\": 1, \"value\": 0.4234998822212219}, \"0.3826998174190521\": {\"frequency\": 1, \"value\": 0.3826998174190521}, \"0.1722354292869568\": {\"frequency\": 1, \"value\": 0.1722354292869568}, \"0.11683382093906403\": {\"frequency\": 1, \"value\": 0.11683382093906403}, \"0.3941172659397125\": {\"frequency\": 1, \"value\": 0.3941172659397125}, \"0.5484797954559326\": {\"frequency\": 1, \"value\": 0.5484797954559326}, \"0.40133148431777954\": {\"frequency\": 1, \"value\": 0.40133148431777954}, \"0.1351604461669922\": {\"frequency\": 1, \"value\": 0.1351604461669922}, \"0.2974861264228821\": {\"frequency\": 1, \"value\": 0.2974861264228821}, \"0.1669779270887375\": {\"frequency\": 1, \"value\": 0.1669779270887375}, \"0.4114953279495239\": {\"frequency\": 1, \"value\": 0.4114953279495239}, \"0.1750059872865677\": {\"frequency\": 1, \"value\": 0.1750059872865677}, \"0.1788836568593979\": {\"frequency\": 1, \"value\": 0.1788836568593979}, \"0.11102402955293655\": {\"frequency\": 1, \"value\": 0.11102402955293655}, \"0.3165323734283447\": {\"frequency\": 1, \"value\": 0.3165323734283447}, \"0.10372180491685867\": {\"frequency\": 1, \"value\": 0.10372180491685867}, \"0.08751090615987778\": {\"frequency\": 1, \"value\": 0.08751090615987778}, \"0.484881192445755\": {\"frequency\": 1, \"value\": 0.484881192445755}, \"0.31728416681289673\": {\"frequency\": 1, \"value\": 0.31728416681289673}, \"0.35552462935447693\": {\"frequency\": 1, \"value\": 0.35552462935447693}, \"0.356671005487442\": {\"frequency\": 1, \"value\": 0.356671005487442}, \"0.1276724934577942\": {\"frequency\": 1, \"value\": 0.1276724934577942}, \"0.30026960372924805\": {\"frequency\": 1, \"value\": 0.30026960372924805}, \"0.27423742413520813\": {\"frequency\": 1, \"value\": 0.27423742413520813}, \"0.1341642588376999\": {\"frequency\": 1, \"value\": 0.1341642588376999}, \"0.31425178050994873\": {\"frequency\": 1, \"value\": 0.31425178050994873}, \"0.32978716492652893\": {\"frequency\": 1, \"value\": 0.32978716492652893}, \"0.2491116225719452\": {\"frequency\": 1, \"value\": 0.2491116225719452}, \"0.2835191786289215\": {\"frequency\": 1, \"value\": 0.2835191786289215}, \"0.1349615901708603\": {\"frequency\": 1, \"value\": 0.1349615901708603}, \"0.14138351380825043\": {\"frequency\": 1, \"value\": 0.14138351380825043}, \"0.43584156036376953\": {\"frequency\": 1, \"value\": 0.43584156036376953}, \"0.08962417393922806\": {\"frequency\": 1, \"value\": 0.08962417393922806}, \"0.28887277841567993\": {\"frequency\": 1, \"value\": 0.28887277841567993}, \"0.15033578872680664\": {\"frequency\": 1, \"value\": 0.15033578872680664}, \"0.25422340631484985\": {\"frequency\": 1, \"value\": 0.25422340631484985}, \"0.1450992375612259\": {\"frequency\": 1, \"value\": 0.1450992375612259}, \"0.06683856248855591\": {\"frequency\": 1, \"value\": 0.06683856248855591}, \"0.2334839552640915\": {\"frequency\": 1, \"value\": 0.2334839552640915}, \"0.1464802771806717\": {\"frequency\": 1, \"value\": 0.1464802771806717}, \"0.5132977962493896\": {\"frequency\": 1, \"value\": 0.5132977962493896}, \"0.36449387669563293\": {\"frequency\": 1, \"value\": 0.36449387669563293}, \"0.6629977822303772\": {\"frequency\": 1, \"value\": 0.6629977822303772}, \"0.33798378705978394\": {\"frequency\": 1, \"value\": 0.33798378705978394}, \"0.1847895234823227\": {\"frequency\": 1, \"value\": 0.1847895234823227}, \"0.08084673434495926\": {\"frequency\": 1, \"value\": 0.08084673434495926}, \"0.226067453622818\": {\"frequency\": 1, \"value\": 0.226067453622818}, \"0.1853284239768982\": {\"frequency\": 1, \"value\": 0.1853284239768982}, \"0.47870934009552\": {\"frequency\": 1, \"value\": 0.47870934009552}, \"0.1861238181591034\": {\"frequency\": 1, \"value\": 0.1861238181591034}, \"0.40960830450057983\": {\"frequency\": 1, \"value\": 0.40960830450057983}, \"0.10225293785333633\": {\"frequency\": 1, \"value\": 0.10225293785333633}, \"0.1894359439611435\": {\"frequency\": 1, \"value\": 0.1894359439611435}, \"0.26872825622558594\": {\"frequency\": 1, \"value\": 0.26872825622558594}, \"0.3261711299419403\": {\"frequency\": 1, \"value\": 0.3261711299419403}, \"0.22735807299613953\": {\"frequency\": 1, \"value\": 0.22735807299613953}, \"0.19885332882404327\": {\"frequency\": 1, \"value\": 0.19885332882404327}, \"0.1613311916589737\": {\"frequency\": 1, \"value\": 0.1613311916589737}, \"0.019117001444101334\": {\"frequency\": 1, \"value\": 0.019117001444101334}, \"0.27102288603782654\": {\"frequency\": 1, \"value\": 0.27102288603782654}, \"0.4348747730255127\": {\"frequency\": 1, \"value\": 0.4348747730255127}, \"0.39047643542289734\": {\"frequency\": 1, \"value\": 0.39047643542289734}, \"0.37201523780822754\": {\"frequency\": 1, \"value\": 0.37201523780822754}, \"0.31290462613105774\": {\"frequency\": 1, \"value\": 0.31290462613105774}, \"0.14341846108436584\": {\"frequency\": 1, \"value\": 0.14341846108436584}, \"0.33646807074546814\": {\"frequency\": 1, \"value\": 0.33646807074546814}, \"0.25874173641204834\": {\"frequency\": 1, \"value\": 0.25874173641204834}, \"0.547627329826355\": {\"frequency\": 1, \"value\": 0.547627329826355}, \"0.26359984278678894\": {\"frequency\": 1, \"value\": 0.26359984278678894}, \"0.35729536414146423\": {\"frequency\": 1, \"value\": 0.35729536414146423}, \"0.40361836552619934\": {\"frequency\": 1, \"value\": 0.40361836552619934}, \"0.6686558127403259\": {\"frequency\": 1, \"value\": 0.6686558127403259}, \"0.15038558840751648\": {\"frequency\": 1, \"value\": 0.15038558840751648}, \"0.2351239025592804\": {\"frequency\": 1, \"value\": 0.2351239025592804}, \"0.2055380791425705\": {\"frequency\": 1, \"value\": 0.2055380791425705}, \"0.26272451877593994\": {\"frequency\": 1, \"value\": 0.26272451877593994}, \"0.2429240494966507\": {\"frequency\": 1, \"value\": 0.2429240494966507}, \"0.5843265056610107\": {\"frequency\": 1, \"value\": 0.5843265056610107}, \"0.7235616445541382\": {\"frequency\": 1, \"value\": 0.7235616445541382}, \"0.39697715640068054\": {\"frequency\": 1, \"value\": 0.39697715640068054}, \"0.151694655418396\": {\"frequency\": 1, \"value\": 0.151694655418396}, \"0.06500834971666336\": {\"frequency\": 1, \"value\": 0.06500834971666336}, \"0.38578301668167114\": {\"frequency\": 1, \"value\": 0.38578301668167114}, \"0.25236403942108154\": {\"frequency\": 1, \"value\": 0.25236403942108154}, \"0.31123438477516174\": {\"frequency\": 1, \"value\": 0.31123438477516174}, \"0.16074346005916595\": {\"frequency\": 1, \"value\": 0.16074346005916595}, \"0.149201899766922\": {\"frequency\": 1, \"value\": 0.149201899766922}, \"0.46566495299339294\": {\"frequency\": 1, \"value\": 0.46566495299339294}, \"0.1730876863002777\": {\"frequency\": 1, \"value\": 0.1730876863002777}, \"0.07956338673830032\": {\"frequency\": 1, \"value\": 0.07956338673830032}, \"0.2480684369802475\": {\"frequency\": 1, \"value\": 0.2480684369802475}, \"0.34943318367004395\": {\"frequency\": 1, \"value\": 0.34943318367004395}, \"0.11851341277360916\": {\"frequency\": 1, \"value\": 0.11851341277360916}, \"0.02944822981953621\": {\"frequency\": 1, \"value\": 0.02944822981953621}, \"0.536879301071167\": {\"frequency\": 1, \"value\": 0.536879301071167}, \"0.20910243690013885\": {\"frequency\": 1, \"value\": 0.20910243690013885}, \"0.04822754114866257\": {\"frequency\": 1, \"value\": 0.04822754114866257}, \"0.31004855036735535\": {\"frequency\": 1, \"value\": 0.31004855036735535}, \"0.1447904109954834\": {\"frequency\": 1, \"value\": 0.1447904109954834}, \"0.17421098053455353\": {\"frequency\": 1, \"value\": 0.17421098053455353}, \"0.20265774428844452\": {\"frequency\": 1, \"value\": 0.20265774428844452}, \"0.1471727192401886\": {\"frequency\": 1, \"value\": 0.1471727192401886}, \"0.09224262088537216\": {\"frequency\": 1, \"value\": 0.09224262088537216}, \"0.49804845452308655\": {\"frequency\": 1, \"value\": 0.49804845452308655}, \"0.48282212018966675\": {\"frequency\": 1, \"value\": 0.48282212018966675}, \"0.5296143889427185\": {\"frequency\": 1, \"value\": 0.5296143889427185}, \"0.2169436514377594\": {\"frequency\": 1, \"value\": 0.2169436514377594}, \"0.573863685131073\": {\"frequency\": 1, \"value\": 0.573863685131073}, \"0.11407027393579483\": {\"frequency\": 1, \"value\": 0.11407027393579483}, \"0.24606211483478546\": {\"frequency\": 1, \"value\": 0.24606211483478546}, \"0.30092039704322815\": {\"frequency\": 1, \"value\": 0.30092039704322815}, \"0.2667262852191925\": {\"frequency\": 1, \"value\": 0.2667262852191925}, \"0.16123747825622559\": {\"frequency\": 1, \"value\": 0.16123747825622559}, \"0.4652578830718994\": {\"frequency\": 1, \"value\": 0.4652578830718994}, \"0.25195324420928955\": {\"frequency\": 1, \"value\": 0.25195324420928955}, \"0.34891340136528015\": {\"frequency\": 1, \"value\": 0.34891340136528015}, \"0.1714249849319458\": {\"frequency\": 1, \"value\": 0.1714249849319458}, \"0.5492597222328186\": {\"frequency\": 1, \"value\": 0.5492597222328186}, \"0.15762706100940704\": {\"frequency\": 1, \"value\": 0.15762706100940704}, \"0.25749048590660095\": {\"frequency\": 1, \"value\": 0.25749048590660095}, \"0.11635598540306091\": {\"frequency\": 1, \"value\": 0.11635598540306091}, \"0.1890089213848114\": {\"frequency\": 1, \"value\": 0.1890089213848114}, \"0.23068907856941223\": {\"frequency\": 1, \"value\": 0.23068907856941223}, \"0.33455705642700195\": {\"frequency\": 1, \"value\": 0.33455705642700195}, \"0.1463024765253067\": {\"frequency\": 1, \"value\": 0.1463024765253067}, \"0.5766422152519226\": {\"frequency\": 1, \"value\": 0.5766422152519226}, \"0.212116539478302\": {\"frequency\": 1, \"value\": 0.212116539478302}, \"0.33603352308273315\": {\"frequency\": 1, \"value\": 0.33603352308273315}, \"0.1504281610250473\": {\"frequency\": 1, \"value\": 0.1504281610250473}, \"0.17411521077156067\": {\"frequency\": 1, \"value\": 0.17411521077156067}, \"0.39854902029037476\": {\"frequency\": 1, \"value\": 0.39854902029037476}, \"0.2611079514026642\": {\"frequency\": 1, \"value\": 0.2611079514026642}, \"0.1821741908788681\": {\"frequency\": 1, \"value\": 0.1821741908788681}, \"0.6174030303955078\": {\"frequency\": 1, \"value\": 0.6174030303955078}, \"0.34234413504600525\": {\"frequency\": 1, \"value\": 0.34234413504600525}, \"0.1582561582326889\": {\"frequency\": 1, \"value\": 0.1582561582326889}, \"0.08026725053787231\": {\"frequency\": 1, \"value\": 0.08026725053787231}, \"0.33048561215400696\": {\"frequency\": 1, \"value\": 0.33048561215400696}, \"0.2310587465763092\": {\"frequency\": 1, \"value\": 0.2310587465763092}, \"0.11571535468101501\": {\"frequency\": 1, \"value\": 0.11571535468101501}, \"0.2372584193944931\": {\"frequency\": 1, \"value\": 0.2372584193944931}, \"0.6064215302467346\": {\"frequency\": 1, \"value\": 0.6064215302467346}, \"0.26131969690322876\": {\"frequency\": 1, \"value\": 0.26131969690322876}, \"0.6461670398712158\": {\"frequency\": 1, \"value\": 0.6461670398712158}, \"0.42487308382987976\": {\"frequency\": 1, \"value\": 0.42487308382987976}, \"0.04702422395348549\": {\"frequency\": 1, \"value\": 0.04702422395348549}, \"0.12345216423273087\": {\"frequency\": 1, \"value\": 0.12345216423273087}, \"0.7193824052810669\": {\"frequency\": 1, \"value\": 0.7193824052810669}, \"0.21886663138866425\": {\"frequency\": 1, \"value\": 0.21886663138866425}, \"0.1704864352941513\": {\"frequency\": 1, \"value\": 0.1704864352941513}, \"0.44848060607910156\": {\"frequency\": 1, \"value\": 0.44848060607910156}, \"0.051111944019794464\": {\"frequency\": 1, \"value\": 0.051111944019794464}, \"0.29239633679389954\": {\"frequency\": 1, \"value\": 0.29239633679389954}, \"0.35040485858917236\": {\"frequency\": 1, \"value\": 0.35040485858917236}, \"0.25088897347450256\": {\"frequency\": 1, \"value\": 0.25088897347450256}, \"0.09670023620128632\": {\"frequency\": 1, \"value\": 0.09670023620128632}, \"0.28193116188049316\": {\"frequency\": 1, \"value\": 0.28193116188049316}, \"0.48569896817207336\": {\"frequency\": 1, \"value\": 0.48569896817207336}, \"0.2158776968717575\": {\"frequency\": 1, \"value\": 0.2158776968717575}, \"0.06594142317771912\": {\"frequency\": 1, \"value\": 0.06594142317771912}, \"0.2015831172466278\": {\"frequency\": 1, \"value\": 0.2015831172466278}, \"0.1839316040277481\": {\"frequency\": 1, \"value\": 0.1839316040277481}, \"0.2111084759235382\": {\"frequency\": 1, \"value\": 0.2111084759235382}, \"0.4547927975654602\": {\"frequency\": 1, \"value\": 0.4547927975654602}, \"0.37598487734794617\": {\"frequency\": 1, \"value\": 0.37598487734794617}, \"0.6085867881774902\": {\"frequency\": 1, \"value\": 0.6085867881774902}, \"0.172175794839859\": {\"frequency\": 1, \"value\": 0.172175794839859}, \"0.16145041584968567\": {\"frequency\": 1, \"value\": 0.16145041584968567}, \"0.4627372622489929\": {\"frequency\": 1, \"value\": 0.4627372622489929}, \"0.1709621399641037\": {\"frequency\": 1, \"value\": 0.1709621399641037}, \"0.39519786834716797\": {\"frequency\": 1, \"value\": 0.39519786834716797}, \"0.1887688785791397\": {\"frequency\": 1, \"value\": 0.1887688785791397}, \"0.42749321460723877\": {\"frequency\": 1, \"value\": 0.42749321460723877}, \"0.22517816722393036\": {\"frequency\": 1, \"value\": 0.22517816722393036}, \"0.509714663028717\": {\"frequency\": 1, \"value\": 0.509714663028717}, \"0.11486037075519562\": {\"frequency\": 1, \"value\": 0.11486037075519562}, \"0.44395574927330017\": {\"frequency\": 1, \"value\": 0.44395574927330017}, \"0.6252658367156982\": {\"frequency\": 1, \"value\": 0.6252658367156982}, \"0.18669173121452332\": {\"frequency\": 1, \"value\": 0.18669173121452332}, \"0.49092811346054077\": {\"frequency\": 1, \"value\": 0.49092811346054077}, \"0.1992570161819458\": {\"frequency\": 1, \"value\": 0.1992570161819458}, \"0.5669966340065002\": {\"frequency\": 1, \"value\": 0.5669966340065002}, \"0.1773259937763214\": {\"frequency\": 1, \"value\": 0.1773259937763214}, \"0.2200363129377365\": {\"frequency\": 1, \"value\": 0.2200363129377365}, \"0.407748818397522\": {\"frequency\": 1, \"value\": 0.407748818397522}, \"0.2923886775970459\": {\"frequency\": 1, \"value\": 0.2923886775970459}, \"0.1702984720468521\": {\"frequency\": 1, \"value\": 0.1702984720468521}, \"0.7073590755462646\": {\"frequency\": 1, \"value\": 0.7073590755462646}, \"0.24509984254837036\": {\"frequency\": 1, \"value\": 0.24509984254837036}, \"0.6337088346481323\": {\"frequency\": 1, \"value\": 0.6337088346481323}, \"0.1282815784215927\": {\"frequency\": 1, \"value\": 0.1282815784215927}, \"0.2600059509277344\": {\"frequency\": 1, \"value\": 0.2600059509277344}, \"0.33058613538742065\": {\"frequency\": 1, \"value\": 0.33058613538742065}, \"0.2872315049171448\": {\"frequency\": 1, \"value\": 0.2872315049171448}, \"0.1586199253797531\": {\"frequency\": 1, \"value\": 0.1586199253797531}, \"0.3888303339481354\": {\"frequency\": 1, \"value\": 0.3888303339481354}, \"0.1732884645462036\": {\"frequency\": 1, \"value\": 0.1732884645462036}, \"0.3579867482185364\": {\"frequency\": 1, \"value\": 0.3579867482185364}, \"0.246473491191864\": {\"frequency\": 1, \"value\": 0.246473491191864}, \"0.050138525664806366\": {\"frequency\": 1, \"value\": 0.050138525664806366}, \"0.2531685531139374\": {\"frequency\": 1, \"value\": 0.2531685531139374}, \"0.2534451484680176\": {\"frequency\": 1, \"value\": 0.2534451484680176}, \"0.3997217118740082\": {\"frequency\": 1, \"value\": 0.3997217118740082}, \"0.567937970161438\": {\"frequency\": 1, \"value\": 0.567937970161438}, \"0.13066422939300537\": {\"frequency\": 1, \"value\": 0.13066422939300537}, \"0.18810692429542542\": {\"frequency\": 1, \"value\": 0.18810692429542542}, \"0.22797399759292603\": {\"frequency\": 1, \"value\": 0.22797399759292603}, \"0.3939388692378998\": {\"frequency\": 1, \"value\": 0.3939388692378998}, \"0.20118661224842072\": {\"frequency\": 1, \"value\": 0.20118661224842072}, \"0.30944791436195374\": {\"frequency\": 1, \"value\": 0.30944791436195374}, \"0.18284748494625092\": {\"frequency\": 1, \"value\": 0.18284748494625092}, \"0.3303194046020508\": {\"frequency\": 1, \"value\": 0.3303194046020508}, \"0.062167294323444366\": {\"frequency\": 1, \"value\": 0.062167294323444366}, \"0.4212085008621216\": {\"frequency\": 1, \"value\": 0.4212085008621216}, \"0.04241170361638069\": {\"frequency\": 1, \"value\": 0.04241170361638069}, \"0.265206515789032\": {\"frequency\": 1, \"value\": 0.265206515789032}, \"0.021115893498063087\": {\"frequency\": 1, \"value\": 0.021115893498063087}, \"0.6902033090591431\": {\"frequency\": 1, \"value\": 0.6902033090591431}, \"0.28120553493499756\": {\"frequency\": 1, \"value\": 0.28120553493499756}, \"0.08162102848291397\": {\"frequency\": 1, \"value\": 0.08162102848291397}, \"0.22857831418514252\": {\"frequency\": 1, \"value\": 0.22857831418514252}, \"0.1853228062391281\": {\"frequency\": 1, \"value\": 0.1853228062391281}, \"0.5302572846412659\": {\"frequency\": 1, \"value\": 0.5302572846412659}, \"0.24420979619026184\": {\"frequency\": 1, \"value\": 0.24420979619026184}, \"0.3013950288295746\": {\"frequency\": 1, \"value\": 0.3013950288295746}, \"0.08036653697490692\": {\"frequency\": 1, \"value\": 0.08036653697490692}, \"0.3176381289958954\": {\"frequency\": 1, \"value\": 0.3176381289958954}, \"0.5454821586608887\": {\"frequency\": 1, \"value\": 0.5454821586608887}, \"0.19135655462741852\": {\"frequency\": 1, \"value\": 0.19135655462741852}, \"0.3540838658809662\": {\"frequency\": 1, \"value\": 0.3540838658809662}, \"0.19668477773666382\": {\"frequency\": 1, \"value\": 0.19668477773666382}, \"0.2590560019016266\": {\"frequency\": 1, \"value\": 0.2590560019016266}, \"0.37791186571121216\": {\"frequency\": 1, \"value\": 0.37791186571121216}, \"0.14883515238761902\": {\"frequency\": 1, \"value\": 0.14883515238761902}, \"0.24769482016563416\": {\"frequency\": 1, \"value\": 0.24769482016563416}, \"0.10967690497636795\": {\"frequency\": 1, \"value\": 0.10967690497636795}, \"0.455959290266037\": {\"frequency\": 1, \"value\": 0.455959290266037}, \"0.08922244608402252\": {\"frequency\": 1, \"value\": 0.08922244608402252}, \"0.3053933084011078\": {\"frequency\": 1, \"value\": 0.3053933084011078}, \"0.6837122440338135\": {\"frequency\": 1, \"value\": 0.6837122440338135}, \"0.4596121907234192\": {\"frequency\": 1, \"value\": 0.4596121907234192}, \"0.374616801738739\": {\"frequency\": 1, \"value\": 0.374616801738739}, \"0.09861858934164047\": {\"frequency\": 1, \"value\": 0.09861858934164047}, \"0.3047827482223511\": {\"frequency\": 1, \"value\": 0.3047827482223511}, \"0.3289150893688202\": {\"frequency\": 1, \"value\": 0.3289150893688202}, \"0.4893518090248108\": {\"frequency\": 1, \"value\": 0.4893518090248108}, \"0.4399172067642212\": {\"frequency\": 1, \"value\": 0.4399172067642212}, \"0.12548667192459106\": {\"frequency\": 1, \"value\": 0.12548667192459106}, \"0.41376960277557373\": {\"frequency\": 1, \"value\": 0.41376960277557373}, \"0.10623139142990112\": {\"frequency\": 1, \"value\": 0.10623139142990112}, \"0.6117110848426819\": {\"frequency\": 1, \"value\": 0.6117110848426819}, \"0.16159826517105103\": {\"frequency\": 1, \"value\": 0.16159826517105103}, \"0.14702583849430084\": {\"frequency\": 1, \"value\": 0.14702583849430084}, \"0.2075078934431076\": {\"frequency\": 1, \"value\": 0.2075078934431076}, \"0.12350724637508392\": {\"frequency\": 1, \"value\": 0.12350724637508392}, \"0.6991724371910095\": {\"frequency\": 1, \"value\": 0.6991724371910095}, \"0.43725264072418213\": {\"frequency\": 1, \"value\": 0.43725264072418213}, \"0.20152519643306732\": {\"frequency\": 1, \"value\": 0.20152519643306732}, \"0.2925405502319336\": {\"frequency\": 1, \"value\": 0.2925405502319336}, \"0.10615994036197662\": {\"frequency\": 1, \"value\": 0.10615994036197662}, \"0.18361525237560272\": {\"frequency\": 1, \"value\": 0.18361525237560272}, \"0.16611438989639282\": {\"frequency\": 1, \"value\": 0.16611438989639282}, \"0.15956933796405792\": {\"frequency\": 1, \"value\": 0.15956933796405792}, \"0.17701110243797302\": {\"frequency\": 1, \"value\": 0.17701110243797302}, \"0.450970858335495\": {\"frequency\": 1, \"value\": 0.450970858335495}, \"0.2654278576374054\": {\"frequency\": 1, \"value\": 0.2654278576374054}, \"0.5882784128189087\": {\"frequency\": 1, \"value\": 0.5882784128189087}, \"0.11448990553617477\": {\"frequency\": 1, \"value\": 0.11448990553617477}, \"0.2541715204715729\": {\"frequency\": 1, \"value\": 0.2541715204715729}, \"0.269115686416626\": {\"frequency\": 1, \"value\": 0.269115686416626}, \"0.22458505630493164\": {\"frequency\": 1, \"value\": 0.22458505630493164}, \"0.3983699679374695\": {\"frequency\": 1, \"value\": 0.3983699679374695}, \"0.3024500012397766\": {\"frequency\": 1, \"value\": 0.3024500012397766}, \"0.3680550754070282\": {\"frequency\": 1, \"value\": 0.3680550754070282}, \"0.3043057918548584\": {\"frequency\": 1, \"value\": 0.3043057918548584}, \"0.5728121399879456\": {\"frequency\": 1, \"value\": 0.5728121399879456}, \"0.48365771770477295\": {\"frequency\": 1, \"value\": 0.48365771770477295}, \"0.18550007045269012\": {\"frequency\": 1, \"value\": 0.18550007045269012}, \"0.4088667631149292\": {\"frequency\": 1, \"value\": 0.4088667631149292}, \"0.14749333262443542\": {\"frequency\": 1, \"value\": 0.14749333262443542}, \"0.17486655712127686\": {\"frequency\": 1, \"value\": 0.17486655712127686}, \"0.2046244740486145\": {\"frequency\": 1, \"value\": 0.2046244740486145}, \"0.1739625483751297\": {\"frequency\": 1, \"value\": 0.1739625483751297}, \"0.4164467453956604\": {\"frequency\": 1, \"value\": 0.4164467453956604}, \"0.2763749361038208\": {\"frequency\": 1, \"value\": 0.2763749361038208}, \"0.470316082239151\": {\"frequency\": 1, \"value\": 0.470316082239151}, \"0.4074212908744812\": {\"frequency\": 1, \"value\": 0.4074212908744812}, \"0.14860165119171143\": {\"frequency\": 1, \"value\": 0.14860165119171143}, \"0.3378775417804718\": {\"frequency\": 1, \"value\": 0.3378775417804718}, \"0.352497398853302\": {\"frequency\": 1, \"value\": 0.352497398853302}, \"0.6328057646751404\": {\"frequency\": 1, \"value\": 0.6328057646751404}, \"0.18022367358207703\": {\"frequency\": 1, \"value\": 0.18022367358207703}, \"0.2973361015319824\": {\"frequency\": 1, \"value\": 0.2973361015319824}, \"0.3805280327796936\": {\"frequency\": 1, \"value\": 0.3805280327796936}, \"0.28483420610427856\": {\"frequency\": 1, \"value\": 0.28483420610427856}, \"0.317970871925354\": {\"frequency\": 1, \"value\": 0.317970871925354}, \"0.3502909243106842\": {\"frequency\": 1, \"value\": 0.3502909243106842}, \"0.08879123628139496\": {\"frequency\": 1, \"value\": 0.08879123628139496}, \"0.3748595118522644\": {\"frequency\": 1, \"value\": 0.3748595118522644}, \"0.07971923798322678\": {\"frequency\": 1, \"value\": 0.07971923798322678}, \"0.1924879252910614\": {\"frequency\": 1, \"value\": 0.1924879252910614}, \"0.265215665102005\": {\"frequency\": 1, \"value\": 0.265215665102005}, \"0.2601536214351654\": {\"frequency\": 1, \"value\": 0.2601536214351654}, \"0.3115166425704956\": {\"frequency\": 1, \"value\": 0.3115166425704956}, \"0.3119763433933258\": {\"frequency\": 1, \"value\": 0.3119763433933258}, \"0.17102593183517456\": {\"frequency\": 1, \"value\": 0.17102593183517456}, \"0.19980093836784363\": {\"frequency\": 1, \"value\": 0.19980093836784363}, \"0.24527062475681305\": {\"frequency\": 1, \"value\": 0.24527062475681305}, \"0.18074367940425873\": {\"frequency\": 1, \"value\": 0.18074367940425873}, \"0.15744125843048096\": {\"frequency\": 1, \"value\": 0.15744125843048096}, \"0.4048795998096466\": {\"frequency\": 1, \"value\": 0.4048795998096466}, \"0.6594182252883911\": {\"frequency\": 1, \"value\": 0.6594182252883911}, \"0.5249616503715515\": {\"frequency\": 1, \"value\": 0.5249616503715515}, \"0.6442320942878723\": {\"frequency\": 1, \"value\": 0.6442320942878723}, \"0.349099725484848\": {\"frequency\": 1, \"value\": 0.349099725484848}, \"0.2681724727153778\": {\"frequency\": 1, \"value\": 0.2681724727153778}, \"0.12684309482574463\": {\"frequency\": 1, \"value\": 0.12684309482574463}, \"0.22173847258090973\": {\"frequency\": 1, \"value\": 0.22173847258090973}, \"0.09085258096456528\": {\"frequency\": 1, \"value\": 0.09085258096456528}, \"0.16273564100265503\": {\"frequency\": 1, \"value\": 0.16273564100265503}, \"0.055697377771139145\": {\"frequency\": 1, \"value\": 0.055697377771139145}, \"0.18913722038269043\": {\"frequency\": 1, \"value\": 0.18913722038269043}, \"0.4516024887561798\": {\"frequency\": 1, \"value\": 0.4516024887561798}, \"0.11330927908420563\": {\"frequency\": 1, \"value\": 0.11330927908420563}, \"0.2777782380580902\": {\"frequency\": 1, \"value\": 0.2777782380580902}, \"0.3803535997867584\": {\"frequency\": 1, \"value\": 0.3803535997867584}, \"0.0075845676474273205\": {\"frequency\": 1, \"value\": 0.0075845676474273205}, \"0.14125525951385498\": {\"frequency\": 1, \"value\": 0.14125525951385498}, \"0.4792044162750244\": {\"frequency\": 1, \"value\": 0.4792044162750244}, \"0.4565618336200714\": {\"frequency\": 1, \"value\": 0.4565618336200714}, \"0.4346216320991516\": {\"frequency\": 1, \"value\": 0.4346216320991516}, \"0.06466098874807358\": {\"frequency\": 1, \"value\": 0.06466098874807358}, \"0.5472791790962219\": {\"frequency\": 1, \"value\": 0.5472791790962219}, \"0.388780415058136\": {\"frequency\": 1, \"value\": 0.388780415058136}, \"0.15400217473506927\": {\"frequency\": 1, \"value\": 0.15400217473506927}, \"0.08598853647708893\": {\"frequency\": 1, \"value\": 0.08598853647708893}, \"0.43341749906539917\": {\"frequency\": 1, \"value\": 0.43341749906539917}, \"0.3280125856399536\": {\"frequency\": 1, \"value\": 0.3280125856399536}, \"0.13207443058490753\": {\"frequency\": 1, \"value\": 0.13207443058490753}, \"0.334181010723114\": {\"frequency\": 1, \"value\": 0.334181010723114}, \"0.48440641164779663\": {\"frequency\": 1, \"value\": 0.48440641164779663}, \"0.4044649302959442\": {\"frequency\": 1, \"value\": 0.4044649302959442}, \"0.4277517795562744\": {\"frequency\": 1, \"value\": 0.4277517795562744}, \"0.2714731991291046\": {\"frequency\": 1, \"value\": 0.2714731991291046}, \"0.4584563374519348\": {\"frequency\": 1, \"value\": 0.4584563374519348}, \"0.434074729681015\": {\"frequency\": 1, \"value\": 0.434074729681015}, \"0.18437308073043823\": {\"frequency\": 1, \"value\": 0.18437308073043823}, \"0.48339852690696716\": {\"frequency\": 1, \"value\": 0.48339852690696716}, \"0.19673798978328705\": {\"frequency\": 1, \"value\": 0.19673798978328705}, \"0.3012699782848358\": {\"frequency\": 1, \"value\": 0.3012699782848358}, \"0.13512812554836273\": {\"frequency\": 1, \"value\": 0.13512812554836273}, \"0.22685936093330383\": {\"frequency\": 1, \"value\": 0.22685936093330383}, \"0.22562436759471893\": {\"frequency\": 1, \"value\": 0.22562436759471893}, \"0.292980819940567\": {\"frequency\": 1, \"value\": 0.292980819940567}, \"0.2651812434196472\": {\"frequency\": 1, \"value\": 0.2651812434196472}, \"0.2685134708881378\": {\"frequency\": 1, \"value\": 0.2685134708881378}, \"0.2629377245903015\": {\"frequency\": 1, \"value\": 0.2629377245903015}, \"0.15997451543807983\": {\"frequency\": 1, \"value\": 0.15997451543807983}, \"0.24007754027843475\": {\"frequency\": 1, \"value\": 0.24007754027843475}, \"0.22336755692958832\": {\"frequency\": 1, \"value\": 0.22336755692958832}, \"0.6327952146530151\": {\"frequency\": 1, \"value\": 0.6327952146530151}, \"0.35403236746788025\": {\"frequency\": 1, \"value\": 0.35403236746788025}, \"0.23376287519931793\": {\"frequency\": 1, \"value\": 0.23376287519931793}, \"0.2543973922729492\": {\"frequency\": 1, \"value\": 0.2543973922729492}, \"0.35790467262268066\": {\"frequency\": 1, \"value\": 0.35790467262268066}, \"0.09692121297121048\": {\"frequency\": 1, \"value\": 0.09692121297121048}, \"0.20148423314094543\": {\"frequency\": 1, \"value\": 0.20148423314094543}, \"0.12410619854927063\": {\"frequency\": 1, \"value\": 0.12410619854927063}, \"0.4210641086101532\": {\"frequency\": 1, \"value\": 0.4210641086101532}, \"0.366688996553421\": {\"frequency\": 1, \"value\": 0.366688996553421}, \"0.11411459743976593\": {\"frequency\": 1, \"value\": 0.11411459743976593}, \"0.2622655928134918\": {\"frequency\": 1, \"value\": 0.2622655928134918}, \"0.5042600035667419\": {\"frequency\": 1, \"value\": 0.5042600035667419}, \"0.33883336186408997\": {\"frequency\": 1, \"value\": 0.33883336186408997}, \"0.17458128929138184\": {\"frequency\": 1, \"value\": 0.17458128929138184}, \"0.21894149482250214\": {\"frequency\": 1, \"value\": 0.21894149482250214}, \"0.6720156073570251\": {\"frequency\": 1, \"value\": 0.6720156073570251}, \"0.08866971731185913\": {\"frequency\": 1, \"value\": 0.08866971731185913}, \"0.2587526738643646\": {\"frequency\": 1, \"value\": 0.2587526738643646}, \"0.09764382243156433\": {\"frequency\": 1, \"value\": 0.09764382243156433}, \"0.26503056287765503\": {\"frequency\": 1, \"value\": 0.26503056287765503}, \"0.5296121835708618\": {\"frequency\": 1, \"value\": 0.5296121835708618}, \"0.059713203459978104\": {\"frequency\": 1, \"value\": 0.059713203459978104}, \"0.3044432997703552\": {\"frequency\": 1, \"value\": 0.3044432997703552}, \"0.3237115144729614\": {\"frequency\": 1, \"value\": 0.3237115144729614}, \"0.23576825857162476\": {\"frequency\": 1, \"value\": 0.23576825857162476}, \"0.28060656785964966\": {\"frequency\": 1, \"value\": 0.28060656785964966}, \"0.4000892639160156\": {\"frequency\": 1, \"value\": 0.4000892639160156}, \"0.10262823849916458\": {\"frequency\": 1, \"value\": 0.10262823849916458}, \"0.6169434785842896\": {\"frequency\": 1, \"value\": 0.6169434785842896}, \"0.3022252023220062\": {\"frequency\": 1, \"value\": 0.3022252023220062}, \"0.4997388422489166\": {\"frequency\": 1, \"value\": 0.4997388422489166}, \"0.4879283607006073\": {\"frequency\": 1, \"value\": 0.4879283607006073}, \"0.5382982492446899\": {\"frequency\": 1, \"value\": 0.5382982492446899}, \"0.05788949131965637\": {\"frequency\": 1, \"value\": 0.05788949131965637}, \"0.2807524502277374\": {\"frequency\": 1, \"value\": 0.2807524502277374}, \"0.5527809858322144\": {\"frequency\": 1, \"value\": 0.5527809858322144}, \"0.14661656320095062\": {\"frequency\": 1, \"value\": 0.14661656320095062}, \"0.23222947120666504\": {\"frequency\": 1, \"value\": 0.23222947120666504}, \"0.25833946466445923\": {\"frequency\": 1, \"value\": 0.25833946466445923}, \"0.16004304587841034\": {\"frequency\": 1, \"value\": 0.16004304587841034}, \"0.29917585849761963\": {\"frequency\": 1, \"value\": 0.29917585849761963}, \"0.22482144832611084\": {\"frequency\": 1, \"value\": 0.22482144832611084}, \"0.21250347793102264\": {\"frequency\": 1, \"value\": 0.21250347793102264}, \"0.2770611047744751\": {\"frequency\": 1, \"value\": 0.2770611047744751}, \"0.21003858745098114\": {\"frequency\": 1, \"value\": 0.21003858745098114}, \"0.50217604637146\": {\"frequency\": 1, \"value\": 0.50217604637146}, \"0.07632038742303848\": {\"frequency\": 1, \"value\": 0.07632038742303848}, \"0.2567712962627411\": {\"frequency\": 1, \"value\": 0.2567712962627411}, \"0.2557620108127594\": {\"frequency\": 1, \"value\": 0.2557620108127594}, \"0.43276944756507874\": {\"frequency\": 1, \"value\": 0.43276944756507874}, \"0.08780407905578613\": {\"frequency\": 1, \"value\": 0.08780407905578613}, \"0.24979451298713684\": {\"frequency\": 1, \"value\": 0.24979451298713684}, \"0.18813665211200714\": {\"frequency\": 1, \"value\": 0.18813665211200714}, \"0.05744696408510208\": {\"frequency\": 1, \"value\": 0.05744696408510208}, \"0.3945341408252716\": {\"frequency\": 1, \"value\": 0.3945341408252716}, \"0.4191870391368866\": {\"frequency\": 1, \"value\": 0.4191870391368866}, \"0.13509903848171234\": {\"frequency\": 1, \"value\": 0.13509903848171234}, \"0.7236580848693848\": {\"frequency\": 1, \"value\": 0.7236580848693848}, \"0.13348354399204254\": {\"frequency\": 1, \"value\": 0.13348354399204254}, \"0.07399971783161163\": {\"frequency\": 1, \"value\": 0.07399971783161163}, \"0.46795210242271423\": {\"frequency\": 1, \"value\": 0.46795210242271423}, \"0.2834683954715729\": {\"frequency\": 1, \"value\": 0.2834683954715729}, \"0.27749770879745483\": {\"frequency\": 1, \"value\": 0.27749770879745483}, \"0.13271212577819824\": {\"frequency\": 1, \"value\": 0.13271212577819824}, \"0.25055649876594543\": {\"frequency\": 1, \"value\": 0.25055649876594543}, \"0.11559774726629257\": {\"frequency\": 1, \"value\": 0.11559774726629257}, \"0.17576007544994354\": {\"frequency\": 1, \"value\": 0.17576007544994354}, \"0.24889642000198364\": {\"frequency\": 1, \"value\": 0.24889642000198364}, \"0.08855263888835907\": {\"frequency\": 1, \"value\": 0.08855263888835907}, \"0.32361865043640137\": {\"frequency\": 1, \"value\": 0.32361865043640137}, \"0.6350398659706116\": {\"frequency\": 1, \"value\": 0.6350398659706116}, \"0.07954692840576172\": {\"frequency\": 1, \"value\": 0.07954692840576172}, \"0.27212128043174744\": {\"frequency\": 1, \"value\": 0.27212128043174744}, \"0.01990305632352829\": {\"frequency\": 1, \"value\": 0.01990305632352829}, \"0.29455751180648804\": {\"frequency\": 1, \"value\": 0.29455751180648804}, \"0.3723544478416443\": {\"frequency\": 1, \"value\": 0.3723544478416443}, \"0.14738257229328156\": {\"frequency\": 1, \"value\": 0.14738257229328156}, \"0.17857931554317474\": {\"frequency\": 1, \"value\": 0.17857931554317474}, \"0.10127879679203033\": {\"frequency\": 1, \"value\": 0.10127879679203033}, \"0.29137352108955383\": {\"frequency\": 1, \"value\": 0.29137352108955383}, \"0.17807996273040771\": {\"frequency\": 1, \"value\": 0.17807996273040771}, \"0.02706422470510006\": {\"frequency\": 1, \"value\": 0.02706422470510006}, \"0.16849809885025024\": {\"frequency\": 1, \"value\": 0.16849809885025024}, \"0.352680504322052\": {\"frequency\": 1, \"value\": 0.352680504322052}, \"0.5453075170516968\": {\"frequency\": 1, \"value\": 0.5453075170516968}, \"0.49626561999320984\": {\"frequency\": 1, \"value\": 0.49626561999320984}, \"0.1381717026233673\": {\"frequency\": 1, \"value\": 0.1381717026233673}, \"0.0855482965707779\": {\"frequency\": 1, \"value\": 0.0855482965707779}, \"0.27288082242012024\": {\"frequency\": 1, \"value\": 0.27288082242012024}, \"0.24729745090007782\": {\"frequency\": 1, \"value\": 0.24729745090007782}, \"0.058088578283786774\": {\"frequency\": 1, \"value\": 0.058088578283786774}, \"0.2148648500442505\": {\"frequency\": 1, \"value\": 0.2148648500442505}, \"0.12704674899578094\": {\"frequency\": 1, \"value\": 0.12704674899578094}, \"0.17918699979782104\": {\"frequency\": 1, \"value\": 0.17918699979782104}, \"0.16066476702690125\": {\"frequency\": 1, \"value\": 0.16066476702690125}, \"0.17301009595394135\": {\"frequency\": 1, \"value\": 0.17301009595394135}, \"0.21434473991394043\": {\"frequency\": 1, \"value\": 0.21434473991394043}, \"0.14621339738368988\": {\"frequency\": 1, \"value\": 0.14621339738368988}, \"0.12424290925264359\": {\"frequency\": 1, \"value\": 0.12424290925264359}, \"0.4210653603076935\": {\"frequency\": 1, \"value\": 0.4210653603076935}, \"0.32819804549217224\": {\"frequency\": 1, \"value\": 0.32819804549217224}, \"0.27556490898132324\": {\"frequency\": 1, \"value\": 0.27556490898132324}, \"0.36059075593948364\": {\"frequency\": 1, \"value\": 0.36059075593948364}, \"0.2375885546207428\": {\"frequency\": 1, \"value\": 0.2375885546207428}, \"0.6735665798187256\": {\"frequency\": 1, \"value\": 0.6735665798187256}, \"0.21429964900016785\": {\"frequency\": 1, \"value\": 0.21429964900016785}, \"0.3127078711986542\": {\"frequency\": 1, \"value\": 0.3127078711986542}, \"0.43436142802238464\": {\"frequency\": 1, \"value\": 0.43436142802238464}, \"0.40613847970962524\": {\"frequency\": 1, \"value\": 0.40613847970962524}, \"0.5603163242340088\": {\"frequency\": 1, \"value\": 0.5603163242340088}, \"0.2991737127304077\": {\"frequency\": 1, \"value\": 0.2991737127304077}, \"0.16087424755096436\": {\"frequency\": 1, \"value\": 0.16087424755096436}, \"0.44417113065719604\": {\"frequency\": 1, \"value\": 0.44417113065719604}, \"0.6162166595458984\": {\"frequency\": 1, \"value\": 0.6162166595458984}, \"0.22463512420654297\": {\"frequency\": 1, \"value\": 0.22463512420654297}, \"0.2716802656650543\": {\"frequency\": 1, \"value\": 0.2716802656650543}, \"0.5839146375656128\": {\"frequency\": 1, \"value\": 0.5839146375656128}, \"0.4464637339115143\": {\"frequency\": 1, \"value\": 0.4464637339115143}, \"0.18521495163440704\": {\"frequency\": 1, \"value\": 0.18521495163440704}, \"0.08997905254364014\": {\"frequency\": 1, \"value\": 0.08997905254364014}, \"0.16421905159950256\": {\"frequency\": 1, \"value\": 0.16421905159950256}, \"0.31933775544166565\": {\"frequency\": 1, \"value\": 0.31933775544166565}, \"0.09590272605419159\": {\"frequency\": 1, \"value\": 0.09590272605419159}, \"0.06394138187170029\": {\"frequency\": 1, \"value\": 0.06394138187170029}, \"0.25334131717681885\": {\"frequency\": 1, \"value\": 0.25334131717681885}, \"0.30403295159339905\": {\"frequency\": 1, \"value\": 0.30403295159339905}, \"0.23952355980873108\": {\"frequency\": 1, \"value\": 0.23952355980873108}, \"0.27482956647872925\": {\"frequency\": 1, \"value\": 0.27482956647872925}, \"0.3778682351112366\": {\"frequency\": 1, \"value\": 0.3778682351112366}, \"0.18144311010837555\": {\"frequency\": 1, \"value\": 0.18144311010837555}, \"0.4551446735858917\": {\"frequency\": 1, \"value\": 0.4551446735858917}, \"0.33819180727005005\": {\"frequency\": 1, \"value\": 0.33819180727005005}, \"0.013008291833102703\": {\"frequency\": 1, \"value\": 0.013008291833102703}, \"0.35974109172821045\": {\"frequency\": 1, \"value\": 0.35974109172821045}, \"0.16435714066028595\": {\"frequency\": 1, \"value\": 0.16435714066028595}, \"0.23287321627140045\": {\"frequency\": 1, \"value\": 0.23287321627140045}, \"0.17557331919670105\": {\"frequency\": 1, \"value\": 0.17557331919670105}}, \"mean\": 0.29405209980687746}, \"row_id\": {\"std\": 433.01260566716377, \"complete\": true, \"min\": 0.0, \"max\": 1499.0, \"quantile\": [0.0, 16.0, 31.0, 46.0, 61.0, 76.0, 91.0, 106.0, 121.0, 136.0, 151.0, 164.0, 179.0, 194.0, 209.0, 226.0, 241.0, 256.0, 271.0, 286.0, 300.0, 315.0, 330.0, 345.0, 360.0, 375.0, 390.0, 405.0, 420.0, 435.0, 450.0, 465.0, 480.0, 495.0, 510.0, 525.0, 540.0, 555.0, 570.0, 585.0, 600.0, 615.0, 630.0, 645.0, 660.0, 675.0, 690.0, 705.0, 720.0, 735.0, 750.0, 765.0, 780.0, 795.0, 810.0, 825.0, 840.0, 855.0, 870.0, 885.0, 900.0, 915.0, 930.0, 945.0, 960.0, 975.0, 990.0, 1005.0, 1020.0, 1035.0, 1050.0, 1065.0, 1080.0, 1095.0, 1110.0, 1125.0, 1140.0, 1155.0, 1170.0, 1185.0, 1200.0, 1215.0, 1230.0, 1245.0, 1260.0, 1275.0, 1290.0, 1305.0, 1320.0, 1335.0, 1350.0, 1365.0, 1380.0, 1395.0, 1410.0, 1425.0, 1440.0, 1455.0, 1470.0, 1485.0, 1499.0], \"median\": 750.0, \"numeric\": true, \"num_unique\": 1496, \"num_undefined\": 0, \"var\": 187499.91666666666, \"progress\": 1.0, \"size\": 1500, \"frequent_items\": {\"0\": {\"frequency\": 1, \"value\": 0}, \"1\": {\"frequency\": 1, \"value\": 1}, \"2\": {\"frequency\": 1, \"value\": 2}, \"3\": {\"frequency\": 1, \"value\": 3}, \"4\": {\"frequency\": 1, \"value\": 4}, \"5\": {\"frequency\": 1, \"value\": 5}, \"6\": {\"frequency\": 1, \"value\": 6}, \"7\": {\"frequency\": 1, \"value\": 7}, \"8\": {\"frequency\": 1, \"value\": 8}, \"9\": {\"frequency\": 1, \"value\": 9}, \"10\": {\"frequency\": 1, \"value\": 10}, \"11\": {\"frequency\": 1, \"value\": 11}, \"12\": {\"frequency\": 1, \"value\": 12}, \"13\": {\"frequency\": 1, \"value\": 13}, \"14\": {\"frequency\": 1, \"value\": 14}, \"15\": {\"frequency\": 1, \"value\": 15}, \"16\": {\"frequency\": 1, \"value\": 16}, \"17\": {\"frequency\": 1, \"value\": 17}, \"18\": {\"frequency\": 1, \"value\": 18}, \"19\": {\"frequency\": 1, \"value\": 19}, \"20\": {\"frequency\": 1, \"value\": 20}, \"21\": {\"frequency\": 1, \"value\": 21}, \"22\": {\"frequency\": 1, \"value\": 22}, \"23\": {\"frequency\": 1, \"value\": 23}, \"24\": {\"frequency\": 1, \"value\": 24}, \"25\": {\"frequency\": 1, \"value\": 25}, \"26\": {\"frequency\": 1, \"value\": 26}, \"27\": {\"frequency\": 1, \"value\": 27}, \"28\": {\"frequency\": 1, \"value\": 28}, \"29\": {\"frequency\": 1, \"value\": 29}, \"30\": {\"frequency\": 1, \"value\": 30}, \"31\": {\"frequency\": 1, \"value\": 31}, \"32\": {\"frequency\": 1, \"value\": 32}, \"33\": {\"frequency\": 1, \"value\": 33}, \"34\": {\"frequency\": 1, \"value\": 34}, \"35\": {\"frequency\": 1, \"value\": 35}, \"36\": {\"frequency\": 1, \"value\": 36}, \"37\": {\"frequency\": 1, \"value\": 37}, \"38\": {\"frequency\": 1, \"value\": 38}, \"39\": {\"frequency\": 1, \"value\": 39}, \"40\": {\"frequency\": 1, \"value\": 40}, \"41\": {\"frequency\": 1, \"value\": 41}, \"42\": {\"frequency\": 1, \"value\": 42}, \"43\": {\"frequency\": 1, \"value\": 43}, \"44\": {\"frequency\": 1, \"value\": 44}, \"45\": {\"frequency\": 1, \"value\": 45}, \"46\": {\"frequency\": 1, \"value\": 46}, \"47\": {\"frequency\": 1, \"value\": 47}, \"48\": {\"frequency\": 1, \"value\": 48}, \"49\": {\"frequency\": 1, \"value\": 49}, \"50\": {\"frequency\": 1, \"value\": 50}, \"51\": {\"frequency\": 1, \"value\": 51}, \"52\": {\"frequency\": 1, \"value\": 52}, \"53\": {\"frequency\": 1, \"value\": 53}, \"54\": {\"frequency\": 1, \"value\": 54}, \"55\": {\"frequency\": 1, \"value\": 55}, \"56\": {\"frequency\": 1, \"value\": 56}, \"57\": {\"frequency\": 1, \"value\": 57}, \"58\": {\"frequency\": 1, \"value\": 58}, \"59\": {\"frequency\": 1, \"value\": 59}, \"60\": {\"frequency\": 1, \"value\": 60}, \"61\": {\"frequency\": 1, \"value\": 61}, \"62\": {\"frequency\": 1, \"value\": 62}, \"63\": {\"frequency\": 1, \"value\": 63}, \"64\": {\"frequency\": 1, \"value\": 64}, \"65\": {\"frequency\": 1, \"value\": 65}, \"66\": {\"frequency\": 1, \"value\": 66}, \"67\": {\"frequency\": 1, \"value\": 67}, \"68\": {\"frequency\": 1, \"value\": 68}, \"69\": {\"frequency\": 1, \"value\": 69}, \"70\": {\"frequency\": 1, \"value\": 70}, \"71\": {\"frequency\": 1, \"value\": 71}, \"72\": {\"frequency\": 1, \"value\": 72}, \"73\": {\"frequency\": 1, \"value\": 73}, \"74\": {\"frequency\": 1, \"value\": 74}, \"75\": {\"frequency\": 1, \"value\": 75}, \"76\": {\"frequency\": 1, \"value\": 76}, \"77\": {\"frequency\": 1, \"value\": 77}, \"78\": {\"frequency\": 1, \"value\": 78}, \"79\": {\"frequency\": 1, \"value\": 79}, \"80\": {\"frequency\": 1, \"value\": 80}, \"81\": {\"frequency\": 1, \"value\": 81}, \"82\": {\"frequency\": 1, \"value\": 82}, \"83\": {\"frequency\": 1, \"value\": 83}, \"84\": {\"frequency\": 1, \"value\": 84}, \"85\": {\"frequency\": 1, \"value\": 85}, \"86\": {\"frequency\": 1, \"value\": 86}, \"87\": {\"frequency\": 1, \"value\": 87}, \"88\": {\"frequency\": 1, \"value\": 88}, \"89\": {\"frequency\": 1, \"value\": 89}, \"90\": {\"frequency\": 1, \"value\": 90}, \"91\": {\"frequency\": 1, \"value\": 91}, \"92\": {\"frequency\": 1, \"value\": 92}, \"93\": {\"frequency\": 1, \"value\": 93}, \"94\": {\"frequency\": 1, \"value\": 94}, \"95\": {\"frequency\": 1, \"value\": 95}, \"96\": {\"frequency\": 1, \"value\": 96}, \"97\": {\"frequency\": 1, \"value\": 97}, \"98\": {\"frequency\": 1, \"value\": 98}, \"99\": {\"frequency\": 1, \"value\": 99}, \"100\": {\"frequency\": 1, \"value\": 100}, \"101\": {\"frequency\": 1, \"value\": 101}, \"102\": {\"frequency\": 1, \"value\": 102}, \"103\": {\"frequency\": 1, \"value\": 103}, \"104\": {\"frequency\": 1, \"value\": 104}, \"105\": {\"frequency\": 1, \"value\": 105}, \"106\": {\"frequency\": 1, \"value\": 106}, \"107\": {\"frequency\": 1, \"value\": 107}, \"108\": {\"frequency\": 1, \"value\": 108}, \"109\": {\"frequency\": 1, \"value\": 109}, \"110\": {\"frequency\": 1, \"value\": 110}, \"111\": {\"frequency\": 1, \"value\": 111}, \"112\": {\"frequency\": 1, \"value\": 112}, \"113\": {\"frequency\": 1, \"value\": 113}, \"114\": {\"frequency\": 1, \"value\": 114}, \"115\": {\"frequency\": 1, \"value\": 115}, \"116\": {\"frequency\": 1, \"value\": 116}, \"117\": {\"frequency\": 1, \"value\": 117}, \"118\": {\"frequency\": 1, \"value\": 118}, \"119\": {\"frequency\": 1, \"value\": 119}, \"120\": {\"frequency\": 1, \"value\": 120}, \"121\": {\"frequency\": 1, \"value\": 121}, \"122\": {\"frequency\": 1, \"value\": 122}, \"123\": {\"frequency\": 1, \"value\": 123}, \"124\": {\"frequency\": 1, \"value\": 124}, \"125\": {\"frequency\": 1, \"value\": 125}, \"126\": {\"frequency\": 1, \"value\": 126}, \"127\": {\"frequency\": 1, \"value\": 127}, \"128\": {\"frequency\": 1, \"value\": 128}, \"129\": {\"frequency\": 1, \"value\": 129}, \"130\": {\"frequency\": 1, \"value\": 130}, \"131\": {\"frequency\": 1, \"value\": 131}, \"132\": {\"frequency\": 1, \"value\": 132}, \"133\": {\"frequency\": 1, \"value\": 133}, \"134\": {\"frequency\": 1, \"value\": 134}, \"135\": {\"frequency\": 1, \"value\": 135}, \"136\": {\"frequency\": 1, \"value\": 136}, \"137\": {\"frequency\": 1, \"value\": 137}, \"138\": {\"frequency\": 1, \"value\": 138}, \"139\": {\"frequency\": 1, \"value\": 139}, \"140\": {\"frequency\": 1, \"value\": 140}, \"141\": {\"frequency\": 1, \"value\": 141}, \"142\": {\"frequency\": 1, \"value\": 142}, \"143\": {\"frequency\": 1, \"value\": 143}, \"144\": {\"frequency\": 1, \"value\": 144}, \"145\": {\"frequency\": 1, \"value\": 145}, \"146\": {\"frequency\": 1, \"value\": 146}, \"147\": {\"frequency\": 1, \"value\": 147}, \"148\": {\"frequency\": 1, \"value\": 148}, \"149\": {\"frequency\": 1, \"value\": 149}, \"150\": {\"frequency\": 1, \"value\": 150}, \"151\": {\"frequency\": 1, \"value\": 151}, \"152\": {\"frequency\": 1, \"value\": 152}, \"153\": {\"frequency\": 1, \"value\": 153}, \"154\": {\"frequency\": 1, \"value\": 154}, \"155\": {\"frequency\": 1, \"value\": 155}, \"156\": {\"frequency\": 1, \"value\": 156}, \"157\": {\"frequency\": 1, \"value\": 157}, \"158\": {\"frequency\": 1, \"value\": 158}, \"159\": {\"frequency\": 1, \"value\": 159}, \"160\": {\"frequency\": 1, \"value\": 160}, \"161\": {\"frequency\": 1, \"value\": 161}, \"162\": {\"frequency\": 1, \"value\": 162}, \"163\": {\"frequency\": 1, \"value\": 163}, \"164\": {\"frequency\": 1, \"value\": 164}, \"165\": {\"frequency\": 1, \"value\": 165}, \"166\": {\"frequency\": 1, \"value\": 166}, \"167\": {\"frequency\": 1, \"value\": 167}, \"168\": {\"frequency\": 1, \"value\": 168}, \"169\": {\"frequency\": 1, \"value\": 169}, \"170\": {\"frequency\": 1, \"value\": 170}, \"171\": {\"frequency\": 1, \"value\": 171}, \"172\": {\"frequency\": 1, \"value\": 172}, \"173\": {\"frequency\": 1, \"value\": 173}, \"174\": {\"frequency\": 1, \"value\": 174}, \"175\": {\"frequency\": 1, \"value\": 175}, \"176\": {\"frequency\": 1, \"value\": 176}, \"177\": {\"frequency\": 1, \"value\": 177}, \"178\": {\"frequency\": 1, \"value\": 178}, \"179\": {\"frequency\": 1, \"value\": 179}, \"180\": {\"frequency\": 1, \"value\": 180}, \"181\": {\"frequency\": 1, \"value\": 181}, \"182\": {\"frequency\": 1, \"value\": 182}, \"183\": {\"frequency\": 1, \"value\": 183}, \"184\": {\"frequency\": 1, \"value\": 184}, \"185\": {\"frequency\": 1, \"value\": 185}, \"186\": {\"frequency\": 1, \"value\": 186}, \"187\": {\"frequency\": 1, \"value\": 187}, \"188\": {\"frequency\": 1, \"value\": 188}, \"189\": {\"frequency\": 1, \"value\": 189}, \"190\": {\"frequency\": 1, \"value\": 190}, \"191\": {\"frequency\": 1, \"value\": 191}, \"192\": {\"frequency\": 1, \"value\": 192}, \"193\": {\"frequency\": 1, \"value\": 193}, \"194\": {\"frequency\": 1, \"value\": 194}, \"195\": {\"frequency\": 1, \"value\": 195}, \"196\": {\"frequency\": 1, \"value\": 196}, \"197\": {\"frequency\": 1, \"value\": 197}, \"198\": {\"frequency\": 1, \"value\": 198}, \"199\": {\"frequency\": 1, \"value\": 199}, \"200\": {\"frequency\": 1, \"value\": 200}, \"201\": {\"frequency\": 1, \"value\": 201}, \"202\": {\"frequency\": 1, \"value\": 202}, \"203\": {\"frequency\": 1, \"value\": 203}, \"204\": {\"frequency\": 1, \"value\": 204}, \"205\": {\"frequency\": 1, \"value\": 205}, \"206\": {\"frequency\": 1, \"value\": 206}, \"207\": {\"frequency\": 1, \"value\": 207}, \"208\": {\"frequency\": 1, \"value\": 208}, \"209\": {\"frequency\": 1, \"value\": 209}, \"210\": {\"frequency\": 1, \"value\": 210}, \"211\": {\"frequency\": 1, \"value\": 211}, \"212\": {\"frequency\": 1, \"value\": 212}, \"213\": {\"frequency\": 1, \"value\": 213}, \"214\": {\"frequency\": 1, \"value\": 214}, \"215\": {\"frequency\": 1, \"value\": 215}, \"216\": {\"frequency\": 1, \"value\": 216}, \"217\": {\"frequency\": 1, \"value\": 217}, \"218\": {\"frequency\": 1, \"value\": 218}, \"219\": {\"frequency\": 1, \"value\": 219}, \"220\": {\"frequency\": 1, \"value\": 220}, \"221\": {\"frequency\": 1, \"value\": 221}, \"222\": {\"frequency\": 1, \"value\": 222}, \"223\": {\"frequency\": 1, \"value\": 223}, \"224\": {\"frequency\": 1, \"value\": 224}, \"225\": {\"frequency\": 1, \"value\": 225}, \"226\": {\"frequency\": 1, \"value\": 226}, \"227\": {\"frequency\": 1, \"value\": 227}, \"228\": {\"frequency\": 1, \"value\": 228}, \"229\": {\"frequency\": 1, \"value\": 229}, \"230\": {\"frequency\": 1, \"value\": 230}, \"231\": {\"frequency\": 1, \"value\": 231}, \"232\": {\"frequency\": 1, \"value\": 232}, \"233\": {\"frequency\": 1, \"value\": 233}, \"234\": {\"frequency\": 1, \"value\": 234}, \"235\": {\"frequency\": 1, \"value\": 235}, \"236\": {\"frequency\": 1, \"value\": 236}, \"237\": {\"frequency\": 1, \"value\": 237}, \"238\": {\"frequency\": 1, \"value\": 238}, \"239\": {\"frequency\": 1, \"value\": 239}, \"240\": {\"frequency\": 1, \"value\": 240}, \"241\": {\"frequency\": 1, \"value\": 241}, \"242\": {\"frequency\": 1, \"value\": 242}, \"243\": {\"frequency\": 1, \"value\": 243}, \"244\": {\"frequency\": 1, \"value\": 244}, \"245\": {\"frequency\": 1, \"value\": 245}, \"246\": {\"frequency\": 1, \"value\": 246}, \"247\": {\"frequency\": 1, \"value\": 247}, \"248\": {\"frequency\": 1, \"value\": 248}, \"249\": {\"frequency\": 1, \"value\": 249}, \"250\": {\"frequency\": 1, \"value\": 250}, \"251\": {\"frequency\": 1, \"value\": 251}, \"252\": {\"frequency\": 1, \"value\": 252}, \"253\": {\"frequency\": 1, \"value\": 253}, \"254\": {\"frequency\": 1, \"value\": 254}, \"255\": {\"frequency\": 1, \"value\": 255}, \"256\": {\"frequency\": 1, \"value\": 256}, \"257\": {\"frequency\": 1, \"value\": 257}, \"258\": {\"frequency\": 1, \"value\": 258}, \"259\": {\"frequency\": 1, \"value\": 259}, \"260\": {\"frequency\": 1, \"value\": 260}, \"261\": {\"frequency\": 1, \"value\": 261}, \"262\": {\"frequency\": 1, \"value\": 262}, \"263\": {\"frequency\": 1, \"value\": 263}, \"264\": {\"frequency\": 1, \"value\": 264}, \"265\": {\"frequency\": 1, \"value\": 265}, \"266\": {\"frequency\": 1, \"value\": 266}, \"267\": {\"frequency\": 1, \"value\": 267}, \"268\": {\"frequency\": 1, \"value\": 268}, \"269\": {\"frequency\": 1, \"value\": 269}, \"270\": {\"frequency\": 1, \"value\": 270}, \"271\": {\"frequency\": 1, \"value\": 271}, \"272\": {\"frequency\": 1, \"value\": 272}, \"273\": {\"frequency\": 1, \"value\": 273}, \"274\": {\"frequency\": 1, \"value\": 274}, \"275\": {\"frequency\": 1, \"value\": 275}, \"276\": {\"frequency\": 1, \"value\": 276}, \"277\": {\"frequency\": 1, \"value\": 277}, \"278\": {\"frequency\": 1, \"value\": 278}, \"279\": {\"frequency\": 1, \"value\": 279}, \"280\": {\"frequency\": 1, \"value\": 280}, \"281\": {\"frequency\": 1, \"value\": 281}, \"282\": {\"frequency\": 1, \"value\": 282}, \"283\": {\"frequency\": 1, \"value\": 283}, \"284\": {\"frequency\": 1, \"value\": 284}, \"285\": {\"frequency\": 1, \"value\": 285}, \"286\": {\"frequency\": 1, \"value\": 286}, \"287\": {\"frequency\": 1, \"value\": 287}, \"288\": {\"frequency\": 1, \"value\": 288}, \"289\": {\"frequency\": 1, \"value\": 289}, \"290\": {\"frequency\": 1, \"value\": 290}, \"291\": {\"frequency\": 1, \"value\": 291}, \"292\": {\"frequency\": 1, \"value\": 292}, \"293\": {\"frequency\": 1, \"value\": 293}, \"294\": {\"frequency\": 1, \"value\": 294}, \"295\": {\"frequency\": 1, \"value\": 295}, \"296\": {\"frequency\": 1, \"value\": 296}, \"297\": {\"frequency\": 1, \"value\": 297}, \"298\": {\"frequency\": 1, \"value\": 298}, \"299\": {\"frequency\": 1, \"value\": 299}, \"300\": {\"frequency\": 1, \"value\": 300}, \"301\": {\"frequency\": 1, \"value\": 301}, \"302\": {\"frequency\": 1, \"value\": 302}, \"303\": {\"frequency\": 1, \"value\": 303}, \"304\": {\"frequency\": 1, \"value\": 304}, \"305\": {\"frequency\": 1, \"value\": 305}, \"306\": {\"frequency\": 1, \"value\": 306}, \"307\": {\"frequency\": 1, \"value\": 307}, \"308\": {\"frequency\": 1, \"value\": 308}, \"309\": {\"frequency\": 1, \"value\": 309}, \"310\": {\"frequency\": 1, \"value\": 310}, \"311\": {\"frequency\": 1, \"value\": 311}, \"312\": {\"frequency\": 1, \"value\": 312}, \"313\": {\"frequency\": 1, \"value\": 313}, \"314\": {\"frequency\": 1, \"value\": 314}, \"315\": {\"frequency\": 1, \"value\": 315}, \"316\": {\"frequency\": 1, \"value\": 316}, \"317\": {\"frequency\": 1, \"value\": 317}, \"318\": {\"frequency\": 1, \"value\": 318}, \"319\": {\"frequency\": 1, \"value\": 319}, \"320\": {\"frequency\": 1, \"value\": 320}, \"321\": {\"frequency\": 1, \"value\": 321}, \"322\": {\"frequency\": 1, \"value\": 322}, \"323\": {\"frequency\": 1, \"value\": 323}, \"324\": {\"frequency\": 1, \"value\": 324}, \"325\": {\"frequency\": 1, \"value\": 325}, \"326\": {\"frequency\": 1, \"value\": 326}, \"327\": {\"frequency\": 1, \"value\": 327}, \"328\": {\"frequency\": 1, \"value\": 328}, \"329\": {\"frequency\": 1, \"value\": 329}, \"330\": {\"frequency\": 1, \"value\": 330}, \"331\": {\"frequency\": 1, \"value\": 331}, \"332\": {\"frequency\": 1, \"value\": 332}, \"333\": {\"frequency\": 1, \"value\": 333}, \"334\": {\"frequency\": 1, \"value\": 334}, \"335\": {\"frequency\": 1, \"value\": 335}, \"336\": {\"frequency\": 1, \"value\": 336}, \"337\": {\"frequency\": 1, \"value\": 337}, \"338\": {\"frequency\": 1, \"value\": 338}, \"339\": {\"frequency\": 1, \"value\": 339}, \"340\": {\"frequency\": 1, \"value\": 340}, \"341\": {\"frequency\": 1, \"value\": 341}, \"342\": {\"frequency\": 1, \"value\": 342}, \"343\": {\"frequency\": 1, \"value\": 343}, \"344\": {\"frequency\": 1, \"value\": 344}, \"345\": {\"frequency\": 1, \"value\": 345}, \"346\": {\"frequency\": 1, \"value\": 346}, \"347\": {\"frequency\": 1, \"value\": 347}, \"348\": {\"frequency\": 1, \"value\": 348}, \"349\": {\"frequency\": 1, \"value\": 349}, \"350\": {\"frequency\": 1, \"value\": 350}, \"351\": {\"frequency\": 1, \"value\": 351}, \"352\": {\"frequency\": 1, \"value\": 352}, \"353\": {\"frequency\": 1, \"value\": 353}, \"354\": {\"frequency\": 1, \"value\": 354}, \"355\": {\"frequency\": 1, \"value\": 355}, \"356\": {\"frequency\": 1, \"value\": 356}, \"357\": {\"frequency\": 1, \"value\": 357}, \"358\": {\"frequency\": 1, \"value\": 358}, \"359\": {\"frequency\": 1, \"value\": 359}, \"360\": {\"frequency\": 1, \"value\": 360}, \"361\": {\"frequency\": 1, \"value\": 361}, \"362\": {\"frequency\": 1, \"value\": 362}, \"363\": {\"frequency\": 1, \"value\": 363}, \"364\": {\"frequency\": 1, \"value\": 364}, \"365\": {\"frequency\": 1, \"value\": 365}, \"366\": {\"frequency\": 1, \"value\": 366}, \"367\": {\"frequency\": 1, \"value\": 367}, \"368\": {\"frequency\": 1, \"value\": 368}, \"369\": {\"frequency\": 1, \"value\": 369}, \"370\": {\"frequency\": 1, \"value\": 370}, \"371\": {\"frequency\": 1, \"value\": 371}, \"372\": {\"frequency\": 1, \"value\": 372}, \"373\": {\"frequency\": 1, \"value\": 373}, \"374\": {\"frequency\": 1, \"value\": 374}, \"375\": {\"frequency\": 1, \"value\": 375}, \"376\": {\"frequency\": 1, \"value\": 376}, \"377\": {\"frequency\": 1, \"value\": 377}, \"378\": {\"frequency\": 1, \"value\": 378}, \"379\": {\"frequency\": 1, \"value\": 379}, \"380\": {\"frequency\": 1, \"value\": 380}, \"381\": {\"frequency\": 1, \"value\": 381}, \"382\": {\"frequency\": 1, \"value\": 382}, \"383\": {\"frequency\": 1, \"value\": 383}, \"384\": {\"frequency\": 1, \"value\": 384}, \"385\": {\"frequency\": 1, \"value\": 385}, \"386\": {\"frequency\": 1, \"value\": 386}, \"387\": {\"frequency\": 1, \"value\": 387}, \"388\": {\"frequency\": 1, \"value\": 388}, \"389\": {\"frequency\": 1, \"value\": 389}, \"390\": {\"frequency\": 1, \"value\": 390}, \"391\": {\"frequency\": 1, \"value\": 391}, \"392\": {\"frequency\": 1, \"value\": 392}, \"393\": {\"frequency\": 1, \"value\": 393}, \"394\": {\"frequency\": 1, \"value\": 394}, \"395\": {\"frequency\": 1, \"value\": 395}, \"396\": {\"frequency\": 1, \"value\": 396}, \"397\": {\"frequency\": 1, \"value\": 397}, \"398\": {\"frequency\": 1, \"value\": 398}, \"399\": {\"frequency\": 1, \"value\": 399}, \"400\": {\"frequency\": 1, \"value\": 400}, \"401\": {\"frequency\": 1, \"value\": 401}, \"402\": {\"frequency\": 1, \"value\": 402}, \"403\": {\"frequency\": 1, \"value\": 403}, \"404\": {\"frequency\": 1, \"value\": 404}, \"405\": {\"frequency\": 1, \"value\": 405}, \"406\": {\"frequency\": 1, \"value\": 406}, \"407\": {\"frequency\": 1, \"value\": 407}, \"408\": {\"frequency\": 1, \"value\": 408}, \"409\": {\"frequency\": 1, \"value\": 409}, \"410\": {\"frequency\": 1, \"value\": 410}, \"411\": {\"frequency\": 1, \"value\": 411}, \"412\": {\"frequency\": 1, \"value\": 412}, \"413\": {\"frequency\": 1, \"value\": 413}, \"414\": {\"frequency\": 1, \"value\": 414}, \"415\": {\"frequency\": 1, \"value\": 415}, \"416\": {\"frequency\": 1, \"value\": 416}, \"417\": {\"frequency\": 1, \"value\": 417}, \"418\": {\"frequency\": 1, \"value\": 418}, \"419\": {\"frequency\": 1, \"value\": 419}, \"420\": {\"frequency\": 1, \"value\": 420}, \"421\": {\"frequency\": 1, \"value\": 421}, \"422\": {\"frequency\": 1, \"value\": 422}, \"423\": {\"frequency\": 1, \"value\": 423}, \"424\": {\"frequency\": 1, \"value\": 424}, \"425\": {\"frequency\": 1, \"value\": 425}, \"426\": {\"frequency\": 1, \"value\": 426}, \"427\": {\"frequency\": 1, \"value\": 427}, \"428\": {\"frequency\": 1, \"value\": 428}, \"429\": {\"frequency\": 1, \"value\": 429}, \"430\": {\"frequency\": 1, \"value\": 430}, \"431\": {\"frequency\": 1, \"value\": 431}, \"432\": {\"frequency\": 1, \"value\": 432}, \"433\": {\"frequency\": 1, \"value\": 433}, \"434\": {\"frequency\": 1, \"value\": 434}, \"435\": {\"frequency\": 1, \"value\": 435}, \"436\": {\"frequency\": 1, \"value\": 436}, \"437\": {\"frequency\": 1, \"value\": 437}, \"438\": {\"frequency\": 1, \"value\": 438}, \"439\": {\"frequency\": 1, \"value\": 439}, \"440\": {\"frequency\": 1, \"value\": 440}, \"441\": {\"frequency\": 1, \"value\": 441}, \"442\": {\"frequency\": 1, \"value\": 442}, \"443\": {\"frequency\": 1, \"value\": 443}, \"444\": {\"frequency\": 1, \"value\": 444}, \"445\": {\"frequency\": 1, \"value\": 445}, \"446\": {\"frequency\": 1, \"value\": 446}, \"447\": {\"frequency\": 1, \"value\": 447}, \"448\": {\"frequency\": 1, \"value\": 448}, \"449\": {\"frequency\": 1, \"value\": 449}, \"450\": {\"frequency\": 1, \"value\": 450}, \"451\": {\"frequency\": 1, \"value\": 451}, \"452\": {\"frequency\": 1, \"value\": 452}, \"453\": {\"frequency\": 1, \"value\": 453}, \"454\": {\"frequency\": 1, \"value\": 454}, \"455\": {\"frequency\": 1, \"value\": 455}, \"456\": {\"frequency\": 1, \"value\": 456}, \"457\": {\"frequency\": 1, \"value\": 457}, \"458\": {\"frequency\": 1, \"value\": 458}, \"459\": {\"frequency\": 1, \"value\": 459}, \"460\": {\"frequency\": 1, \"value\": 460}, \"461\": {\"frequency\": 1, \"value\": 461}, \"462\": {\"frequency\": 1, \"value\": 462}, \"463\": {\"frequency\": 1, \"value\": 463}, \"464\": {\"frequency\": 1, \"value\": 464}, \"465\": {\"frequency\": 1, \"value\": 465}, \"466\": {\"frequency\": 1, \"value\": 466}, \"467\": {\"frequency\": 1, \"value\": 467}, \"468\": {\"frequency\": 1, \"value\": 468}, \"469\": {\"frequency\": 1, \"value\": 469}, \"470\": {\"frequency\": 1, \"value\": 470}, \"471\": {\"frequency\": 1, \"value\": 471}, \"472\": {\"frequency\": 1, \"value\": 472}, \"473\": {\"frequency\": 1, \"value\": 473}, \"474\": {\"frequency\": 1, \"value\": 474}, \"475\": {\"frequency\": 1, \"value\": 475}, \"476\": {\"frequency\": 1, \"value\": 476}, \"477\": {\"frequency\": 1, \"value\": 477}, \"478\": {\"frequency\": 1, \"value\": 478}, \"479\": {\"frequency\": 1, \"value\": 479}, \"480\": {\"frequency\": 1, \"value\": 480}, \"481\": {\"frequency\": 1, \"value\": 481}, \"482\": {\"frequency\": 1, \"value\": 482}, \"483\": {\"frequency\": 1, \"value\": 483}, \"484\": {\"frequency\": 1, \"value\": 484}, \"485\": {\"frequency\": 1, \"value\": 485}, \"486\": {\"frequency\": 1, \"value\": 486}, \"487\": {\"frequency\": 1, \"value\": 487}, \"488\": {\"frequency\": 1, \"value\": 488}, \"489\": {\"frequency\": 1, \"value\": 489}, \"490\": {\"frequency\": 1, \"value\": 490}, \"491\": {\"frequency\": 1, \"value\": 491}, \"492\": {\"frequency\": 1, \"value\": 492}, \"493\": {\"frequency\": 1, \"value\": 493}, \"494\": {\"frequency\": 1, \"value\": 494}, \"495\": {\"frequency\": 1, \"value\": 495}, \"496\": {\"frequency\": 1, \"value\": 496}, \"497\": {\"frequency\": 1, \"value\": 497}, \"498\": {\"frequency\": 1, \"value\": 498}, \"499\": {\"frequency\": 1, \"value\": 499}, \"500\": {\"frequency\": 1, \"value\": 500}, \"501\": {\"frequency\": 1, \"value\": 501}, \"502\": {\"frequency\": 1, \"value\": 502}, \"503\": {\"frequency\": 1, \"value\": 503}, \"504\": {\"frequency\": 1, \"value\": 504}, \"505\": {\"frequency\": 1, \"value\": 505}, \"506\": {\"frequency\": 1, \"value\": 506}, \"507\": {\"frequency\": 1, \"value\": 507}, \"508\": {\"frequency\": 1, \"value\": 508}, \"509\": {\"frequency\": 1, \"value\": 509}, \"510\": {\"frequency\": 1, \"value\": 510}, \"511\": {\"frequency\": 1, \"value\": 511}, \"512\": {\"frequency\": 1, \"value\": 512}, \"513\": {\"frequency\": 1, \"value\": 513}, \"514\": {\"frequency\": 1, \"value\": 514}, \"515\": {\"frequency\": 1, \"value\": 515}, \"516\": {\"frequency\": 1, \"value\": 516}, \"517\": {\"frequency\": 1, \"value\": 517}, \"518\": {\"frequency\": 1, \"value\": 518}, \"519\": {\"frequency\": 1, \"value\": 519}, \"520\": {\"frequency\": 1, \"value\": 520}, \"521\": {\"frequency\": 1, \"value\": 521}, \"522\": {\"frequency\": 1, \"value\": 522}, \"523\": {\"frequency\": 1, \"value\": 523}, \"524\": {\"frequency\": 1, \"value\": 524}, \"525\": {\"frequency\": 1, \"value\": 525}, \"526\": {\"frequency\": 1, \"value\": 526}, \"527\": {\"frequency\": 1, \"value\": 527}, \"528\": {\"frequency\": 1, \"value\": 528}, \"529\": {\"frequency\": 1, \"value\": 529}, \"530\": {\"frequency\": 1, \"value\": 530}, \"531\": {\"frequency\": 1, \"value\": 531}, \"532\": {\"frequency\": 1, \"value\": 532}, \"533\": {\"frequency\": 1, \"value\": 533}, \"534\": {\"frequency\": 1, \"value\": 534}, \"535\": {\"frequency\": 1, \"value\": 535}, \"536\": {\"frequency\": 1, \"value\": 536}, \"537\": {\"frequency\": 1, \"value\": 537}, \"538\": {\"frequency\": 1, \"value\": 538}, \"539\": {\"frequency\": 1, \"value\": 539}, \"540\": {\"frequency\": 1, \"value\": 540}, \"541\": {\"frequency\": 1, \"value\": 541}, \"542\": {\"frequency\": 1, \"value\": 542}, \"543\": {\"frequency\": 1, \"value\": 543}, \"544\": {\"frequency\": 1, \"value\": 544}, \"545\": {\"frequency\": 1, \"value\": 545}, \"546\": {\"frequency\": 1, \"value\": 546}, \"547\": {\"frequency\": 1, \"value\": 547}, \"548\": {\"frequency\": 1, \"value\": 548}, \"549\": {\"frequency\": 1, \"value\": 549}, \"550\": {\"frequency\": 1, \"value\": 550}, \"551\": {\"frequency\": 1, \"value\": 551}, \"552\": {\"frequency\": 1, \"value\": 552}, \"553\": {\"frequency\": 1, \"value\": 553}, \"554\": {\"frequency\": 1, \"value\": 554}, \"555\": {\"frequency\": 1, \"value\": 555}, \"556\": {\"frequency\": 1, \"value\": 556}, \"557\": {\"frequency\": 1, \"value\": 557}, \"558\": {\"frequency\": 1, \"value\": 558}, \"559\": {\"frequency\": 1, \"value\": 559}, \"560\": {\"frequency\": 1, \"value\": 560}, \"561\": {\"frequency\": 1, \"value\": 561}, \"562\": {\"frequency\": 1, \"value\": 562}, \"563\": {\"frequency\": 1, \"value\": 563}, \"564\": {\"frequency\": 1, \"value\": 564}, \"565\": {\"frequency\": 1, \"value\": 565}, \"566\": {\"frequency\": 1, \"value\": 566}, \"567\": {\"frequency\": 1, \"value\": 567}, \"568\": {\"frequency\": 1, \"value\": 568}, \"569\": {\"frequency\": 1, \"value\": 569}, \"570\": {\"frequency\": 1, \"value\": 570}, \"571\": {\"frequency\": 1, \"value\": 571}, \"572\": {\"frequency\": 1, \"value\": 572}, \"573\": {\"frequency\": 1, \"value\": 573}, \"574\": {\"frequency\": 1, \"value\": 574}, \"575\": {\"frequency\": 1, \"value\": 575}, \"576\": {\"frequency\": 1, \"value\": 576}, \"577\": {\"frequency\": 1, \"value\": 577}, \"578\": {\"frequency\": 1, \"value\": 578}, \"579\": {\"frequency\": 1, \"value\": 579}, \"580\": {\"frequency\": 1, \"value\": 580}, \"581\": {\"frequency\": 1, \"value\": 581}, \"582\": {\"frequency\": 1, \"value\": 582}, \"583\": {\"frequency\": 1, \"value\": 583}, \"584\": {\"frequency\": 1, \"value\": 584}, \"585\": {\"frequency\": 1, \"value\": 585}, \"586\": {\"frequency\": 1, \"value\": 586}, \"587\": {\"frequency\": 1, \"value\": 587}, \"588\": {\"frequency\": 1, \"value\": 588}, \"589\": {\"frequency\": 1, \"value\": 589}, \"590\": {\"frequency\": 1, \"value\": 590}, \"591\": {\"frequency\": 1, \"value\": 591}, \"592\": {\"frequency\": 1, \"value\": 592}, \"593\": {\"frequency\": 1, \"value\": 593}, \"594\": {\"frequency\": 1, \"value\": 594}, \"595\": {\"frequency\": 1, \"value\": 595}, \"596\": {\"frequency\": 1, \"value\": 596}, \"597\": {\"frequency\": 1, \"value\": 597}, \"598\": {\"frequency\": 1, \"value\": 598}, \"599\": {\"frequency\": 1, \"value\": 599}, \"600\": {\"frequency\": 1, \"value\": 600}, \"601\": {\"frequency\": 1, \"value\": 601}, \"602\": {\"frequency\": 1, \"value\": 602}, \"603\": {\"frequency\": 1, \"value\": 603}, \"604\": {\"frequency\": 1, \"value\": 604}, \"605\": {\"frequency\": 1, \"value\": 605}, \"606\": {\"frequency\": 1, \"value\": 606}, \"607\": {\"frequency\": 1, \"value\": 607}, \"608\": {\"frequency\": 1, \"value\": 608}, \"609\": {\"frequency\": 1, \"value\": 609}, \"610\": {\"frequency\": 1, \"value\": 610}, \"611\": {\"frequency\": 1, \"value\": 611}, \"612\": {\"frequency\": 1, \"value\": 612}, \"613\": {\"frequency\": 1, \"value\": 613}, \"614\": {\"frequency\": 1, \"value\": 614}, \"615\": {\"frequency\": 1, \"value\": 615}, \"616\": {\"frequency\": 1, \"value\": 616}, \"617\": {\"frequency\": 1, \"value\": 617}, \"618\": {\"frequency\": 1, \"value\": 618}, \"619\": {\"frequency\": 1, \"value\": 619}, \"620\": {\"frequency\": 1, \"value\": 620}, \"621\": {\"frequency\": 1, \"value\": 621}, \"622\": {\"frequency\": 1, \"value\": 622}, \"623\": {\"frequency\": 1, \"value\": 623}, \"624\": {\"frequency\": 1, \"value\": 624}, \"625\": {\"frequency\": 1, \"value\": 625}, \"626\": {\"frequency\": 1, \"value\": 626}, \"627\": {\"frequency\": 1, \"value\": 627}, \"628\": {\"frequency\": 1, \"value\": 628}, \"629\": {\"frequency\": 1, \"value\": 629}, \"630\": {\"frequency\": 1, \"value\": 630}, \"631\": {\"frequency\": 1, \"value\": 631}, \"632\": {\"frequency\": 1, \"value\": 632}, \"633\": {\"frequency\": 1, \"value\": 633}, \"634\": {\"frequency\": 1, \"value\": 634}, \"635\": {\"frequency\": 1, \"value\": 635}, \"636\": {\"frequency\": 1, \"value\": 636}, \"637\": {\"frequency\": 1, \"value\": 637}, \"638\": {\"frequency\": 1, \"value\": 638}, \"639\": {\"frequency\": 1, \"value\": 639}, \"640\": {\"frequency\": 1, \"value\": 640}, \"641\": {\"frequency\": 1, \"value\": 641}, \"642\": {\"frequency\": 1, \"value\": 642}, \"643\": {\"frequency\": 1, \"value\": 643}, \"644\": {\"frequency\": 1, \"value\": 644}, \"645\": {\"frequency\": 1, \"value\": 645}, \"646\": {\"frequency\": 1, \"value\": 646}, \"647\": {\"frequency\": 1, \"value\": 647}, \"648\": {\"frequency\": 1, \"value\": 648}, \"649\": {\"frequency\": 1, \"value\": 649}, \"650\": {\"frequency\": 1, \"value\": 650}, \"651\": {\"frequency\": 1, \"value\": 651}, \"652\": {\"frequency\": 1, \"value\": 652}, \"653\": {\"frequency\": 1, \"value\": 653}, \"654\": {\"frequency\": 1, \"value\": 654}, \"655\": {\"frequency\": 1, \"value\": 655}, \"656\": {\"frequency\": 1, \"value\": 656}, \"657\": {\"frequency\": 1, \"value\": 657}, \"658\": {\"frequency\": 1, \"value\": 658}, \"659\": {\"frequency\": 1, \"value\": 659}, \"660\": {\"frequency\": 1, \"value\": 660}, \"661\": {\"frequency\": 1, \"value\": 661}, \"662\": {\"frequency\": 1, \"value\": 662}, \"663\": {\"frequency\": 1, \"value\": 663}, \"664\": {\"frequency\": 1, \"value\": 664}, \"665\": {\"frequency\": 1, \"value\": 665}, \"666\": {\"frequency\": 1, \"value\": 666}, \"667\": {\"frequency\": 1, \"value\": 667}, \"668\": {\"frequency\": 1, \"value\": 668}, \"669\": {\"frequency\": 1, \"value\": 669}, \"670\": {\"frequency\": 1, \"value\": 670}, \"671\": {\"frequency\": 1, \"value\": 671}, \"672\": {\"frequency\": 1, \"value\": 672}, \"673\": {\"frequency\": 1, \"value\": 673}, \"674\": {\"frequency\": 1, \"value\": 674}, \"675\": {\"frequency\": 1, \"value\": 675}, \"676\": {\"frequency\": 1, \"value\": 676}, \"677\": {\"frequency\": 1, \"value\": 677}, \"678\": {\"frequency\": 1, \"value\": 678}, \"679\": {\"frequency\": 1, \"value\": 679}, \"680\": {\"frequency\": 1, \"value\": 680}, \"681\": {\"frequency\": 1, \"value\": 681}, \"682\": {\"frequency\": 1, \"value\": 682}, \"683\": {\"frequency\": 1, \"value\": 683}, \"684\": {\"frequency\": 1, \"value\": 684}, \"685\": {\"frequency\": 1, \"value\": 685}, \"686\": {\"frequency\": 1, \"value\": 686}, \"687\": {\"frequency\": 1, \"value\": 687}, \"688\": {\"frequency\": 1, \"value\": 688}, \"689\": {\"frequency\": 1, \"value\": 689}, \"690\": {\"frequency\": 1, \"value\": 690}, \"691\": {\"frequency\": 1, \"value\": 691}, \"692\": {\"frequency\": 1, \"value\": 692}, \"693\": {\"frequency\": 1, \"value\": 693}, \"694\": {\"frequency\": 1, \"value\": 694}, \"695\": {\"frequency\": 1, \"value\": 695}, \"696\": {\"frequency\": 1, \"value\": 696}, \"697\": {\"frequency\": 1, \"value\": 697}, \"698\": {\"frequency\": 1, \"value\": 698}, \"699\": {\"frequency\": 1, \"value\": 699}, \"700\": {\"frequency\": 1, \"value\": 700}, \"701\": {\"frequency\": 1, \"value\": 701}, \"702\": {\"frequency\": 1, \"value\": 702}, \"703\": {\"frequency\": 1, \"value\": 703}, \"704\": {\"frequency\": 1, \"value\": 704}, \"705\": {\"frequency\": 1, \"value\": 705}, \"706\": {\"frequency\": 1, \"value\": 706}, \"707\": {\"frequency\": 1, \"value\": 707}, \"708\": {\"frequency\": 1, \"value\": 708}, \"709\": {\"frequency\": 1, \"value\": 709}, \"710\": {\"frequency\": 1, \"value\": 710}, \"711\": {\"frequency\": 1, \"value\": 711}, \"712\": {\"frequency\": 1, \"value\": 712}, \"713\": {\"frequency\": 1, \"value\": 713}, \"714\": {\"frequency\": 1, \"value\": 714}, \"715\": {\"frequency\": 1, \"value\": 715}, \"716\": {\"frequency\": 1, \"value\": 716}, \"717\": {\"frequency\": 1, \"value\": 717}, \"718\": {\"frequency\": 1, \"value\": 718}, \"719\": {\"frequency\": 1, \"value\": 719}, \"720\": {\"frequency\": 1, \"value\": 720}, \"721\": {\"frequency\": 1, \"value\": 721}, \"722\": {\"frequency\": 1, \"value\": 722}, \"723\": {\"frequency\": 1, \"value\": 723}, \"724\": {\"frequency\": 1, \"value\": 724}, \"725\": {\"frequency\": 1, \"value\": 725}, \"726\": {\"frequency\": 1, \"value\": 726}, \"727\": {\"frequency\": 1, \"value\": 727}, \"728\": {\"frequency\": 1, \"value\": 728}, \"729\": {\"frequency\": 1, \"value\": 729}, \"730\": {\"frequency\": 1, \"value\": 730}, \"731\": {\"frequency\": 1, \"value\": 731}, \"732\": {\"frequency\": 1, \"value\": 732}, \"733\": {\"frequency\": 1, \"value\": 733}, \"734\": {\"frequency\": 1, \"value\": 734}, \"735\": {\"frequency\": 1, \"value\": 735}, \"736\": {\"frequency\": 1, \"value\": 736}, \"737\": {\"frequency\": 1, \"value\": 737}, \"738\": {\"frequency\": 1, \"value\": 738}, \"739\": {\"frequency\": 1, \"value\": 739}, \"740\": {\"frequency\": 1, \"value\": 740}, \"741\": {\"frequency\": 1, \"value\": 741}, \"742\": {\"frequency\": 1, \"value\": 742}, \"743\": {\"frequency\": 1, \"value\": 743}, \"744\": {\"frequency\": 1, \"value\": 744}, \"745\": {\"frequency\": 1, \"value\": 745}, \"746\": {\"frequency\": 1, \"value\": 746}, \"747\": {\"frequency\": 1, \"value\": 747}, \"748\": {\"frequency\": 1, \"value\": 748}, \"749\": {\"frequency\": 1, \"value\": 749}, \"750\": {\"frequency\": 1, \"value\": 750}, \"751\": {\"frequency\": 1, \"value\": 751}, \"752\": {\"frequency\": 1, \"value\": 752}, \"753\": {\"frequency\": 1, \"value\": 753}, \"754\": {\"frequency\": 1, \"value\": 754}, \"755\": {\"frequency\": 1, \"value\": 755}, \"756\": {\"frequency\": 1, \"value\": 756}, \"757\": {\"frequency\": 1, \"value\": 757}, \"758\": {\"frequency\": 1, \"value\": 758}, \"759\": {\"frequency\": 1, \"value\": 759}, \"760\": {\"frequency\": 1, \"value\": 760}, \"761\": {\"frequency\": 1, \"value\": 761}, \"762\": {\"frequency\": 1, \"value\": 762}, \"763\": {\"frequency\": 1, \"value\": 763}, \"764\": {\"frequency\": 1, \"value\": 764}, \"765\": {\"frequency\": 1, \"value\": 765}, \"766\": {\"frequency\": 1, \"value\": 766}, \"767\": {\"frequency\": 1, \"value\": 767}, \"768\": {\"frequency\": 1, \"value\": 768}, \"769\": {\"frequency\": 1, \"value\": 769}, \"770\": {\"frequency\": 1, \"value\": 770}, \"771\": {\"frequency\": 1, \"value\": 771}, \"772\": {\"frequency\": 1, \"value\": 772}, \"773\": {\"frequency\": 1, \"value\": 773}, \"774\": {\"frequency\": 1, \"value\": 774}, \"775\": {\"frequency\": 1, \"value\": 775}, \"776\": {\"frequency\": 1, \"value\": 776}, \"777\": {\"frequency\": 1, \"value\": 777}, \"778\": {\"frequency\": 1, \"value\": 778}, \"779\": {\"frequency\": 1, \"value\": 779}, \"780\": {\"frequency\": 1, \"value\": 780}, \"781\": {\"frequency\": 1, \"value\": 781}, \"782\": {\"frequency\": 1, \"value\": 782}, \"783\": {\"frequency\": 1, \"value\": 783}, \"784\": {\"frequency\": 1, \"value\": 784}, \"785\": {\"frequency\": 1, \"value\": 785}, \"786\": {\"frequency\": 1, \"value\": 786}, \"787\": {\"frequency\": 1, \"value\": 787}, \"788\": {\"frequency\": 1, \"value\": 788}, \"789\": {\"frequency\": 1, \"value\": 789}, \"790\": {\"frequency\": 1, \"value\": 790}, \"791\": {\"frequency\": 1, \"value\": 791}, \"792\": {\"frequency\": 1, \"value\": 792}, \"793\": {\"frequency\": 1, \"value\": 793}, \"794\": {\"frequency\": 1, \"value\": 794}, \"795\": {\"frequency\": 1, \"value\": 795}, \"796\": {\"frequency\": 1, \"value\": 796}, \"797\": {\"frequency\": 1, \"value\": 797}, \"798\": {\"frequency\": 1, \"value\": 798}, \"799\": {\"frequency\": 1, \"value\": 799}, \"800\": {\"frequency\": 1, \"value\": 800}, \"801\": {\"frequency\": 1, \"value\": 801}, \"802\": {\"frequency\": 1, \"value\": 802}, \"803\": {\"frequency\": 1, \"value\": 803}, \"804\": {\"frequency\": 1, \"value\": 804}, \"805\": {\"frequency\": 1, \"value\": 805}, \"806\": {\"frequency\": 1, \"value\": 806}, \"807\": {\"frequency\": 1, \"value\": 807}, \"808\": {\"frequency\": 1, \"value\": 808}, \"809\": {\"frequency\": 1, \"value\": 809}, \"810\": {\"frequency\": 1, \"value\": 810}, \"811\": {\"frequency\": 1, \"value\": 811}, \"812\": {\"frequency\": 1, \"value\": 812}, \"813\": {\"frequency\": 1, \"value\": 813}, \"814\": {\"frequency\": 1, \"value\": 814}, \"815\": {\"frequency\": 1, \"value\": 815}, \"816\": {\"frequency\": 1, \"value\": 816}, \"817\": {\"frequency\": 1, \"value\": 817}, \"818\": {\"frequency\": 1, \"value\": 818}, \"819\": {\"frequency\": 1, \"value\": 819}, \"820\": {\"frequency\": 1, \"value\": 820}, \"821\": {\"frequency\": 1, \"value\": 821}, \"822\": {\"frequency\": 1, \"value\": 822}, \"823\": {\"frequency\": 1, \"value\": 823}, \"824\": {\"frequency\": 1, \"value\": 824}, \"825\": {\"frequency\": 1, \"value\": 825}, \"826\": {\"frequency\": 1, \"value\": 826}, \"827\": {\"frequency\": 1, \"value\": 827}, \"828\": {\"frequency\": 1, \"value\": 828}, \"829\": {\"frequency\": 1, \"value\": 829}, \"830\": {\"frequency\": 1, \"value\": 830}, \"831\": {\"frequency\": 1, \"value\": 831}, \"832\": {\"frequency\": 1, \"value\": 832}, \"833\": {\"frequency\": 1, \"value\": 833}, \"834\": {\"frequency\": 1, \"value\": 834}, \"835\": {\"frequency\": 1, \"value\": 835}, \"836\": {\"frequency\": 1, \"value\": 836}, \"837\": {\"frequency\": 1, \"value\": 837}, \"838\": {\"frequency\": 1, \"value\": 838}, \"839\": {\"frequency\": 1, \"value\": 839}, \"840\": {\"frequency\": 1, \"value\": 840}, \"841\": {\"frequency\": 1, \"value\": 841}, \"842\": {\"frequency\": 1, \"value\": 842}, \"843\": {\"frequency\": 1, \"value\": 843}, \"844\": {\"frequency\": 1, \"value\": 844}, \"845\": {\"frequency\": 1, \"value\": 845}, \"846\": {\"frequency\": 1, \"value\": 846}, \"847\": {\"frequency\": 1, \"value\": 847}, \"848\": {\"frequency\": 1, \"value\": 848}, \"849\": {\"frequency\": 1, \"value\": 849}, \"850\": {\"frequency\": 1, \"value\": 850}, \"851\": {\"frequency\": 1, \"value\": 851}, \"852\": {\"frequency\": 1, \"value\": 852}, \"853\": {\"frequency\": 1, \"value\": 853}, \"854\": {\"frequency\": 1, \"value\": 854}, \"855\": {\"frequency\": 1, \"value\": 855}, \"856\": {\"frequency\": 1, \"value\": 856}, \"857\": {\"frequency\": 1, \"value\": 857}, \"858\": {\"frequency\": 1, \"value\": 858}, \"859\": {\"frequency\": 1, \"value\": 859}, \"860\": {\"frequency\": 1, \"value\": 860}, \"861\": {\"frequency\": 1, \"value\": 861}, \"862\": {\"frequency\": 1, \"value\": 862}, \"863\": {\"frequency\": 1, \"value\": 863}, \"864\": {\"frequency\": 1, \"value\": 864}, \"865\": {\"frequency\": 1, \"value\": 865}, \"866\": {\"frequency\": 1, \"value\": 866}, \"867\": {\"frequency\": 1, \"value\": 867}, \"868\": {\"frequency\": 1, \"value\": 868}, \"869\": {\"frequency\": 1, \"value\": 869}, \"870\": {\"frequency\": 1, \"value\": 870}, \"871\": {\"frequency\": 1, \"value\": 871}, \"872\": {\"frequency\": 1, \"value\": 872}, \"873\": {\"frequency\": 1, \"value\": 873}, \"874\": {\"frequency\": 1, \"value\": 874}, \"875\": {\"frequency\": 1, \"value\": 875}, \"876\": {\"frequency\": 1, \"value\": 876}, \"877\": {\"frequency\": 1, \"value\": 877}, \"878\": {\"frequency\": 1, \"value\": 878}, \"879\": {\"frequency\": 1, \"value\": 879}, \"880\": {\"frequency\": 1, \"value\": 880}, \"881\": {\"frequency\": 1, \"value\": 881}, \"882\": {\"frequency\": 1, \"value\": 882}, \"883\": {\"frequency\": 1, \"value\": 883}, \"884\": {\"frequency\": 1, \"value\": 884}, \"885\": {\"frequency\": 1, \"value\": 885}, \"886\": {\"frequency\": 1, \"value\": 886}, \"887\": {\"frequency\": 1, \"value\": 887}, \"888\": {\"frequency\": 1, \"value\": 888}, \"889\": {\"frequency\": 1, \"value\": 889}, \"890\": {\"frequency\": 1, \"value\": 890}, \"891\": {\"frequency\": 1, \"value\": 891}, \"892\": {\"frequency\": 1, \"value\": 892}, \"893\": {\"frequency\": 1, \"value\": 893}, \"894\": {\"frequency\": 1, \"value\": 894}, \"895\": {\"frequency\": 1, \"value\": 895}, \"896\": {\"frequency\": 1, \"value\": 896}, \"897\": {\"frequency\": 1, \"value\": 897}, \"898\": {\"frequency\": 1, \"value\": 898}, \"899\": {\"frequency\": 1, \"value\": 899}, \"900\": {\"frequency\": 1, \"value\": 900}, \"901\": {\"frequency\": 1, \"value\": 901}, \"902\": {\"frequency\": 1, \"value\": 902}, \"903\": {\"frequency\": 1, \"value\": 903}, \"904\": {\"frequency\": 1, \"value\": 904}, \"905\": {\"frequency\": 1, \"value\": 905}, \"906\": {\"frequency\": 1, \"value\": 906}, \"907\": {\"frequency\": 1, \"value\": 907}, \"908\": {\"frequency\": 1, \"value\": 908}, \"909\": {\"frequency\": 1, \"value\": 909}, \"910\": {\"frequency\": 1, \"value\": 910}, \"911\": {\"frequency\": 1, \"value\": 911}, \"912\": {\"frequency\": 1, \"value\": 912}, \"913\": {\"frequency\": 1, \"value\": 913}, \"914\": {\"frequency\": 1, \"value\": 914}, \"915\": {\"frequency\": 1, \"value\": 915}, \"916\": {\"frequency\": 1, \"value\": 916}, \"917\": {\"frequency\": 1, \"value\": 917}, \"918\": {\"frequency\": 1, \"value\": 918}, \"919\": {\"frequency\": 1, \"value\": 919}, \"920\": {\"frequency\": 1, \"value\": 920}, \"921\": {\"frequency\": 1, \"value\": 921}, \"922\": {\"frequency\": 1, \"value\": 922}, \"923\": {\"frequency\": 1, \"value\": 923}, \"924\": {\"frequency\": 1, \"value\": 924}, \"925\": {\"frequency\": 1, \"value\": 925}, \"926\": {\"frequency\": 1, \"value\": 926}, \"927\": {\"frequency\": 1, \"value\": 927}, \"928\": {\"frequency\": 1, \"value\": 928}, \"929\": {\"frequency\": 1, \"value\": 929}, \"930\": {\"frequency\": 1, \"value\": 930}, \"931\": {\"frequency\": 1, \"value\": 931}, \"932\": {\"frequency\": 1, \"value\": 932}, \"933\": {\"frequency\": 1, \"value\": 933}, \"934\": {\"frequency\": 1, \"value\": 934}, \"935\": {\"frequency\": 1, \"value\": 935}, \"936\": {\"frequency\": 1, \"value\": 936}, \"937\": {\"frequency\": 1, \"value\": 937}, \"938\": {\"frequency\": 1, \"value\": 938}, \"939\": {\"frequency\": 1, \"value\": 939}, \"940\": {\"frequency\": 1, \"value\": 940}, \"941\": {\"frequency\": 1, \"value\": 941}, \"942\": {\"frequency\": 1, \"value\": 942}, \"943\": {\"frequency\": 1, \"value\": 943}, \"944\": {\"frequency\": 1, \"value\": 944}, \"945\": {\"frequency\": 1, \"value\": 945}, \"946\": {\"frequency\": 1, \"value\": 946}, \"947\": {\"frequency\": 1, \"value\": 947}, \"948\": {\"frequency\": 1, \"value\": 948}, \"949\": {\"frequency\": 1, \"value\": 949}, \"950\": {\"frequency\": 1, \"value\": 950}, \"951\": {\"frequency\": 1, \"value\": 951}, \"952\": {\"frequency\": 1, \"value\": 952}, \"953\": {\"frequency\": 1, \"value\": 953}, \"954\": {\"frequency\": 1, \"value\": 954}, \"955\": {\"frequency\": 1, \"value\": 955}, \"956\": {\"frequency\": 1, \"value\": 956}, \"957\": {\"frequency\": 1, \"value\": 957}, \"958\": {\"frequency\": 1, \"value\": 958}, \"959\": {\"frequency\": 1, \"value\": 959}, \"960\": {\"frequency\": 1, \"value\": 960}, \"961\": {\"frequency\": 1, \"value\": 961}, \"962\": {\"frequency\": 1, \"value\": 962}, \"963\": {\"frequency\": 1, \"value\": 963}, \"964\": {\"frequency\": 1, \"value\": 964}, \"965\": {\"frequency\": 1, \"value\": 965}, \"966\": {\"frequency\": 1, \"value\": 966}, \"967\": {\"frequency\": 1, \"value\": 967}, \"968\": {\"frequency\": 1, \"value\": 968}, \"969\": {\"frequency\": 1, \"value\": 969}, \"970\": {\"frequency\": 1, \"value\": 970}, \"971\": {\"frequency\": 1, \"value\": 971}, \"972\": {\"frequency\": 1, \"value\": 972}, \"973\": {\"frequency\": 1, \"value\": 973}, \"974\": {\"frequency\": 1, \"value\": 974}, \"975\": {\"frequency\": 1, \"value\": 975}, \"976\": {\"frequency\": 1, \"value\": 976}, \"977\": {\"frequency\": 1, \"value\": 977}, \"978\": {\"frequency\": 1, \"value\": 978}, \"979\": {\"frequency\": 1, \"value\": 979}, \"980\": {\"frequency\": 1, \"value\": 980}, \"981\": {\"frequency\": 1, \"value\": 981}, \"982\": {\"frequency\": 1, \"value\": 982}, \"983\": {\"frequency\": 1, \"value\": 983}, \"984\": {\"frequency\": 1, \"value\": 984}, \"985\": {\"frequency\": 1, \"value\": 985}, \"986\": {\"frequency\": 1, \"value\": 986}, \"987\": {\"frequency\": 1, \"value\": 987}, \"988\": {\"frequency\": 1, \"value\": 988}, \"989\": {\"frequency\": 1, \"value\": 989}, \"990\": {\"frequency\": 1, \"value\": 990}, \"991\": {\"frequency\": 1, \"value\": 991}, \"992\": {\"frequency\": 1, \"value\": 992}, \"993\": {\"frequency\": 1, \"value\": 993}, \"994\": {\"frequency\": 1, \"value\": 994}, \"995\": {\"frequency\": 1, \"value\": 995}, \"996\": {\"frequency\": 1, \"value\": 996}, \"997\": {\"frequency\": 1, \"value\": 997}, \"998\": {\"frequency\": 1, \"value\": 998}, \"999\": {\"frequency\": 1, \"value\": 999}, \"1000\": {\"frequency\": 1, \"value\": 1000}, \"1001\": {\"frequency\": 1, \"value\": 1001}, \"1002\": {\"frequency\": 1, \"value\": 1002}, \"1003\": {\"frequency\": 1, \"value\": 1003}, \"1004\": {\"frequency\": 1, \"value\": 1004}, \"1005\": {\"frequency\": 1, \"value\": 1005}, \"1006\": {\"frequency\": 1, \"value\": 1006}, \"1007\": {\"frequency\": 1, \"value\": 1007}, \"1008\": {\"frequency\": 1, \"value\": 1008}, \"1009\": {\"frequency\": 1, \"value\": 1009}, \"1010\": {\"frequency\": 1, \"value\": 1010}, \"1011\": {\"frequency\": 1, \"value\": 1011}, \"1012\": {\"frequency\": 1, \"value\": 1012}, \"1013\": {\"frequency\": 1, \"value\": 1013}, \"1014\": {\"frequency\": 1, \"value\": 1014}, \"1015\": {\"frequency\": 1, \"value\": 1015}, \"1016\": {\"frequency\": 1, \"value\": 1016}, \"1017\": {\"frequency\": 1, \"value\": 1017}, \"1018\": {\"frequency\": 1, \"value\": 1018}, \"1019\": {\"frequency\": 1, \"value\": 1019}, \"1020\": {\"frequency\": 1, \"value\": 1020}, \"1021\": {\"frequency\": 1, \"value\": 1021}, \"1022\": {\"frequency\": 1, \"value\": 1022}, \"1023\": {\"frequency\": 1, \"value\": 1023}, \"1024\": {\"frequency\": 1, \"value\": 1024}, \"1025\": {\"frequency\": 1, \"value\": 1025}, \"1026\": {\"frequency\": 1, \"value\": 1026}, \"1027\": {\"frequency\": 1, \"value\": 1027}, \"1028\": {\"frequency\": 1, \"value\": 1028}, \"1029\": {\"frequency\": 1, \"value\": 1029}, \"1030\": {\"frequency\": 1, \"value\": 1030}, \"1031\": {\"frequency\": 1, \"value\": 1031}, \"1032\": {\"frequency\": 1, \"value\": 1032}, \"1033\": {\"frequency\": 1, \"value\": 1033}, \"1034\": {\"frequency\": 1, \"value\": 1034}, \"1035\": {\"frequency\": 1, \"value\": 1035}, \"1036\": {\"frequency\": 1, \"value\": 1036}, \"1037\": {\"frequency\": 1, \"value\": 1037}, \"1038\": {\"frequency\": 1, \"value\": 1038}, \"1039\": {\"frequency\": 1, \"value\": 1039}, \"1040\": {\"frequency\": 1, \"value\": 1040}, \"1041\": {\"frequency\": 1, \"value\": 1041}, \"1042\": {\"frequency\": 1, \"value\": 1042}, \"1043\": {\"frequency\": 1, \"value\": 1043}, \"1044\": {\"frequency\": 1, \"value\": 1044}, \"1045\": {\"frequency\": 1, \"value\": 1045}, \"1046\": {\"frequency\": 1, \"value\": 1046}, \"1047\": {\"frequency\": 1, \"value\": 1047}, \"1048\": {\"frequency\": 1, \"value\": 1048}, \"1049\": {\"frequency\": 1, \"value\": 1049}, \"1050\": {\"frequency\": 1, \"value\": 1050}, \"1051\": {\"frequency\": 1, \"value\": 1051}, \"1052\": {\"frequency\": 1, \"value\": 1052}, \"1053\": {\"frequency\": 1, \"value\": 1053}, \"1054\": {\"frequency\": 1, \"value\": 1054}, \"1055\": {\"frequency\": 1, \"value\": 1055}, \"1056\": {\"frequency\": 1, \"value\": 1056}, \"1057\": {\"frequency\": 1, \"value\": 1057}, \"1058\": {\"frequency\": 1, \"value\": 1058}, \"1059\": {\"frequency\": 1, \"value\": 1059}, \"1060\": {\"frequency\": 1, \"value\": 1060}, \"1061\": {\"frequency\": 1, \"value\": 1061}, \"1062\": {\"frequency\": 1, \"value\": 1062}, \"1063\": {\"frequency\": 1, \"value\": 1063}, \"1064\": {\"frequency\": 1, \"value\": 1064}, \"1065\": {\"frequency\": 1, \"value\": 1065}, \"1066\": {\"frequency\": 1, \"value\": 1066}, \"1067\": {\"frequency\": 1, \"value\": 1067}, \"1068\": {\"frequency\": 1, \"value\": 1068}, \"1069\": {\"frequency\": 1, \"value\": 1069}, \"1070\": {\"frequency\": 1, \"value\": 1070}, \"1071\": {\"frequency\": 1, \"value\": 1071}, \"1072\": {\"frequency\": 1, \"value\": 1072}, \"1073\": {\"frequency\": 1, \"value\": 1073}, \"1074\": {\"frequency\": 1, \"value\": 1074}, \"1075\": {\"frequency\": 1, \"value\": 1075}, \"1076\": {\"frequency\": 1, \"value\": 1076}, \"1077\": {\"frequency\": 1, \"value\": 1077}, \"1078\": {\"frequency\": 1, \"value\": 1078}, \"1079\": {\"frequency\": 1, \"value\": 1079}, \"1080\": {\"frequency\": 1, \"value\": 1080}, \"1081\": {\"frequency\": 1, \"value\": 1081}, \"1082\": {\"frequency\": 1, \"value\": 1082}, \"1083\": {\"frequency\": 1, \"value\": 1083}, \"1084\": {\"frequency\": 1, \"value\": 1084}, \"1085\": {\"frequency\": 1, \"value\": 1085}, \"1086\": {\"frequency\": 1, \"value\": 1086}, \"1087\": {\"frequency\": 1, \"value\": 1087}, \"1088\": {\"frequency\": 1, \"value\": 1088}, \"1089\": {\"frequency\": 1, \"value\": 1089}, \"1090\": {\"frequency\": 1, \"value\": 1090}, \"1091\": {\"frequency\": 1, \"value\": 1091}, \"1092\": {\"frequency\": 1, \"value\": 1092}, \"1093\": {\"frequency\": 1, \"value\": 1093}, \"1094\": {\"frequency\": 1, \"value\": 1094}, \"1095\": {\"frequency\": 1, \"value\": 1095}, \"1096\": {\"frequency\": 1, \"value\": 1096}, \"1097\": {\"frequency\": 1, \"value\": 1097}, \"1098\": {\"frequency\": 1, \"value\": 1098}, \"1099\": {\"frequency\": 1, \"value\": 1099}, \"1100\": {\"frequency\": 1, \"value\": 1100}, \"1101\": {\"frequency\": 1, \"value\": 1101}, \"1102\": {\"frequency\": 1, \"value\": 1102}, \"1103\": {\"frequency\": 1, \"value\": 1103}, \"1104\": {\"frequency\": 1, \"value\": 1104}, \"1105\": {\"frequency\": 1, \"value\": 1105}, \"1106\": {\"frequency\": 1, \"value\": 1106}, \"1107\": {\"frequency\": 1, \"value\": 1107}, \"1108\": {\"frequency\": 1, \"value\": 1108}, \"1109\": {\"frequency\": 1, \"value\": 1109}, \"1110\": {\"frequency\": 1, \"value\": 1110}, \"1111\": {\"frequency\": 1, \"value\": 1111}, \"1112\": {\"frequency\": 1, \"value\": 1112}, \"1113\": {\"frequency\": 1, \"value\": 1113}, \"1114\": {\"frequency\": 1, \"value\": 1114}, \"1115\": {\"frequency\": 1, \"value\": 1115}, \"1116\": {\"frequency\": 1, \"value\": 1116}, \"1117\": {\"frequency\": 1, \"value\": 1117}, \"1118\": {\"frequency\": 1, \"value\": 1118}, \"1119\": {\"frequency\": 1, \"value\": 1119}, \"1120\": {\"frequency\": 1, \"value\": 1120}, \"1121\": {\"frequency\": 1, \"value\": 1121}, \"1122\": {\"frequency\": 1, \"value\": 1122}, \"1123\": {\"frequency\": 1, \"value\": 1123}, \"1124\": {\"frequency\": 1, \"value\": 1124}, \"1125\": {\"frequency\": 1, \"value\": 1125}, \"1126\": {\"frequency\": 1, \"value\": 1126}, \"1127\": {\"frequency\": 1, \"value\": 1127}, \"1128\": {\"frequency\": 1, \"value\": 1128}, \"1129\": {\"frequency\": 1, \"value\": 1129}, \"1130\": {\"frequency\": 1, \"value\": 1130}, \"1131\": {\"frequency\": 1, \"value\": 1131}, \"1132\": {\"frequency\": 1, \"value\": 1132}, \"1133\": {\"frequency\": 1, \"value\": 1133}, \"1134\": {\"frequency\": 1, \"value\": 1134}, \"1135\": {\"frequency\": 1, \"value\": 1135}, \"1136\": {\"frequency\": 1, \"value\": 1136}, \"1137\": {\"frequency\": 1, \"value\": 1137}, \"1138\": {\"frequency\": 1, \"value\": 1138}, \"1139\": {\"frequency\": 1, \"value\": 1139}, \"1140\": {\"frequency\": 1, \"value\": 1140}, \"1141\": {\"frequency\": 1, \"value\": 1141}, \"1142\": {\"frequency\": 1, \"value\": 1142}, \"1143\": {\"frequency\": 1, \"value\": 1143}, \"1144\": {\"frequency\": 1, \"value\": 1144}, \"1145\": {\"frequency\": 1, \"value\": 1145}, \"1146\": {\"frequency\": 1, \"value\": 1146}, \"1147\": {\"frequency\": 1, \"value\": 1147}, \"1148\": {\"frequency\": 1, \"value\": 1148}, \"1149\": {\"frequency\": 1, \"value\": 1149}, \"1150\": {\"frequency\": 1, \"value\": 1150}, \"1151\": {\"frequency\": 1, \"value\": 1151}, \"1152\": {\"frequency\": 1, \"value\": 1152}, \"1153\": {\"frequency\": 1, \"value\": 1153}, \"1154\": {\"frequency\": 1, \"value\": 1154}, \"1155\": {\"frequency\": 1, \"value\": 1155}, \"1156\": {\"frequency\": 1, \"value\": 1156}, \"1157\": {\"frequency\": 1, \"value\": 1157}, \"1158\": {\"frequency\": 1, \"value\": 1158}, \"1159\": {\"frequency\": 1, \"value\": 1159}, \"1160\": {\"frequency\": 1, \"value\": 1160}, \"1161\": {\"frequency\": 1, \"value\": 1161}, \"1162\": {\"frequency\": 1, \"value\": 1162}, \"1163\": {\"frequency\": 1, \"value\": 1163}, \"1164\": {\"frequency\": 1, \"value\": 1164}, \"1165\": {\"frequency\": 1, \"value\": 1165}, \"1166\": {\"frequency\": 1, \"value\": 1166}, \"1167\": {\"frequency\": 1, \"value\": 1167}, \"1168\": {\"frequency\": 1, \"value\": 1168}, \"1169\": {\"frequency\": 1, \"value\": 1169}, \"1170\": {\"frequency\": 1, \"value\": 1170}, \"1171\": {\"frequency\": 1, \"value\": 1171}, \"1172\": {\"frequency\": 1, \"value\": 1172}, \"1173\": {\"frequency\": 1, \"value\": 1173}, \"1174\": {\"frequency\": 1, \"value\": 1174}, \"1175\": {\"frequency\": 1, \"value\": 1175}, \"1176\": {\"frequency\": 1, \"value\": 1176}, \"1177\": {\"frequency\": 1, \"value\": 1177}, \"1178\": {\"frequency\": 1, \"value\": 1178}, \"1179\": {\"frequency\": 1, \"value\": 1179}, \"1180\": {\"frequency\": 1, \"value\": 1180}, \"1181\": {\"frequency\": 1, \"value\": 1181}, \"1182\": {\"frequency\": 1, \"value\": 1182}, \"1183\": {\"frequency\": 1, \"value\": 1183}, \"1184\": {\"frequency\": 1, \"value\": 1184}, \"1185\": {\"frequency\": 1, \"value\": 1185}, \"1186\": {\"frequency\": 1, \"value\": 1186}, \"1187\": {\"frequency\": 1, \"value\": 1187}, \"1188\": {\"frequency\": 1, \"value\": 1188}, \"1189\": {\"frequency\": 1, \"value\": 1189}, \"1190\": {\"frequency\": 1, \"value\": 1190}, \"1191\": {\"frequency\": 1, \"value\": 1191}, \"1192\": {\"frequency\": 1, \"value\": 1192}, \"1193\": {\"frequency\": 1, \"value\": 1193}, \"1194\": {\"frequency\": 1, \"value\": 1194}, \"1195\": {\"frequency\": 1, \"value\": 1195}, \"1196\": {\"frequency\": 1, \"value\": 1196}, \"1197\": {\"frequency\": 1, \"value\": 1197}, \"1198\": {\"frequency\": 1, \"value\": 1198}, \"1199\": {\"frequency\": 1, \"value\": 1199}, \"1200\": {\"frequency\": 1, \"value\": 1200}, \"1201\": {\"frequency\": 1, \"value\": 1201}, \"1202\": {\"frequency\": 1, \"value\": 1202}, \"1203\": {\"frequency\": 1, \"value\": 1203}, \"1204\": {\"frequency\": 1, \"value\": 1204}, \"1205\": {\"frequency\": 1, \"value\": 1205}, \"1206\": {\"frequency\": 1, \"value\": 1206}, \"1207\": {\"frequency\": 1, \"value\": 1207}, \"1208\": {\"frequency\": 1, \"value\": 1208}, \"1209\": {\"frequency\": 1, \"value\": 1209}, \"1210\": {\"frequency\": 1, \"value\": 1210}, \"1211\": {\"frequency\": 1, \"value\": 1211}, \"1212\": {\"frequency\": 1, \"value\": 1212}, \"1213\": {\"frequency\": 1, \"value\": 1213}, \"1214\": {\"frequency\": 1, \"value\": 1214}, \"1215\": {\"frequency\": 1, \"value\": 1215}, \"1216\": {\"frequency\": 1, \"value\": 1216}, \"1217\": {\"frequency\": 1, \"value\": 1217}, \"1218\": {\"frequency\": 1, \"value\": 1218}, \"1219\": {\"frequency\": 1, \"value\": 1219}, \"1220\": {\"frequency\": 1, \"value\": 1220}, \"1221\": {\"frequency\": 1, \"value\": 1221}, \"1222\": {\"frequency\": 1, \"value\": 1222}, \"1223\": {\"frequency\": 1, \"value\": 1223}, \"1224\": {\"frequency\": 1, \"value\": 1224}, \"1225\": {\"frequency\": 1, \"value\": 1225}, \"1226\": {\"frequency\": 1, \"value\": 1226}, \"1227\": {\"frequency\": 1, \"value\": 1227}, \"1228\": {\"frequency\": 1, \"value\": 1228}, \"1229\": {\"frequency\": 1, \"value\": 1229}, \"1230\": {\"frequency\": 1, \"value\": 1230}, \"1231\": {\"frequency\": 1, \"value\": 1231}, \"1232\": {\"frequency\": 1, \"value\": 1232}, \"1233\": {\"frequency\": 1, \"value\": 1233}, \"1234\": {\"frequency\": 1, \"value\": 1234}, \"1235\": {\"frequency\": 1, \"value\": 1235}, \"1236\": {\"frequency\": 1, \"value\": 1236}, \"1237\": {\"frequency\": 1, \"value\": 1237}, \"1238\": {\"frequency\": 1, \"value\": 1238}, \"1239\": {\"frequency\": 1, \"value\": 1239}, \"1240\": {\"frequency\": 1, \"value\": 1240}, \"1241\": {\"frequency\": 1, \"value\": 1241}, \"1242\": {\"frequency\": 1, \"value\": 1242}, \"1243\": {\"frequency\": 1, \"value\": 1243}, \"1244\": {\"frequency\": 1, \"value\": 1244}, \"1245\": {\"frequency\": 1, \"value\": 1245}, \"1246\": {\"frequency\": 1, \"value\": 1246}, \"1247\": {\"frequency\": 1, \"value\": 1247}, \"1248\": {\"frequency\": 1, \"value\": 1248}, \"1249\": {\"frequency\": 1, \"value\": 1249}, \"1250\": {\"frequency\": 1, \"value\": 1250}, \"1251\": {\"frequency\": 1, \"value\": 1251}, \"1252\": {\"frequency\": 1, \"value\": 1252}, \"1253\": {\"frequency\": 1, \"value\": 1253}, \"1254\": {\"frequency\": 1, \"value\": 1254}, \"1255\": {\"frequency\": 1, \"value\": 1255}, \"1256\": {\"frequency\": 1, \"value\": 1256}, \"1257\": {\"frequency\": 1, \"value\": 1257}, \"1258\": {\"frequency\": 1, \"value\": 1258}, \"1259\": {\"frequency\": 1, \"value\": 1259}, \"1260\": {\"frequency\": 1, \"value\": 1260}, \"1261\": {\"frequency\": 1, \"value\": 1261}, \"1262\": {\"frequency\": 1, \"value\": 1262}, \"1263\": {\"frequency\": 1, \"value\": 1263}, \"1264\": {\"frequency\": 1, \"value\": 1264}, \"1265\": {\"frequency\": 1, \"value\": 1265}, \"1266\": {\"frequency\": 1, \"value\": 1266}, \"1267\": {\"frequency\": 1, \"value\": 1267}, \"1268\": {\"frequency\": 1, \"value\": 1268}, \"1269\": {\"frequency\": 1, \"value\": 1269}, \"1270\": {\"frequency\": 1, \"value\": 1270}, \"1271\": {\"frequency\": 1, \"value\": 1271}, \"1272\": {\"frequency\": 1, \"value\": 1272}, \"1273\": {\"frequency\": 1, \"value\": 1273}, \"1274\": {\"frequency\": 1, \"value\": 1274}, \"1275\": {\"frequency\": 1, \"value\": 1275}, \"1276\": {\"frequency\": 1, \"value\": 1276}, \"1277\": {\"frequency\": 1, \"value\": 1277}, \"1278\": {\"frequency\": 1, \"value\": 1278}, \"1279\": {\"frequency\": 1, \"value\": 1279}, \"1280\": {\"frequency\": 1, \"value\": 1280}, \"1281\": {\"frequency\": 1, \"value\": 1281}, \"1282\": {\"frequency\": 1, \"value\": 1282}, \"1283\": {\"frequency\": 1, \"value\": 1283}, \"1284\": {\"frequency\": 1, \"value\": 1284}, \"1285\": {\"frequency\": 1, \"value\": 1285}, \"1286\": {\"frequency\": 1, \"value\": 1286}, \"1287\": {\"frequency\": 1, \"value\": 1287}, \"1288\": {\"frequency\": 1, \"value\": 1288}, \"1289\": {\"frequency\": 1, \"value\": 1289}, \"1290\": {\"frequency\": 1, \"value\": 1290}, \"1291\": {\"frequency\": 1, \"value\": 1291}, \"1292\": {\"frequency\": 1, \"value\": 1292}, \"1293\": {\"frequency\": 1, \"value\": 1293}, \"1294\": {\"frequency\": 1, \"value\": 1294}, \"1295\": {\"frequency\": 1, \"value\": 1295}, \"1296\": {\"frequency\": 1, \"value\": 1296}, \"1297\": {\"frequency\": 1, \"value\": 1297}, \"1298\": {\"frequency\": 1, \"value\": 1298}, \"1299\": {\"frequency\": 1, \"value\": 1299}, \"1300\": {\"frequency\": 1, \"value\": 1300}, \"1301\": {\"frequency\": 1, \"value\": 1301}, \"1302\": {\"frequency\": 1, \"value\": 1302}, \"1303\": {\"frequency\": 1, \"value\": 1303}, \"1304\": {\"frequency\": 1, \"value\": 1304}, \"1305\": {\"frequency\": 1, \"value\": 1305}, \"1306\": {\"frequency\": 1, \"value\": 1306}, \"1307\": {\"frequency\": 1, \"value\": 1307}, \"1308\": {\"frequency\": 1, \"value\": 1308}, \"1309\": {\"frequency\": 1, \"value\": 1309}, \"1310\": {\"frequency\": 1, \"value\": 1310}, \"1311\": {\"frequency\": 1, \"value\": 1311}, \"1312\": {\"frequency\": 1, \"value\": 1312}, \"1313\": {\"frequency\": 1, \"value\": 1313}, \"1314\": {\"frequency\": 1, \"value\": 1314}, \"1315\": {\"frequency\": 1, \"value\": 1315}, \"1316\": {\"frequency\": 1, \"value\": 1316}, \"1317\": {\"frequency\": 1, \"value\": 1317}, \"1318\": {\"frequency\": 1, \"value\": 1318}, \"1319\": {\"frequency\": 1, \"value\": 1319}, \"1320\": {\"frequency\": 1, \"value\": 1320}, \"1321\": {\"frequency\": 1, \"value\": 1321}, \"1322\": {\"frequency\": 1, \"value\": 1322}, \"1323\": {\"frequency\": 1, \"value\": 1323}, \"1324\": {\"frequency\": 1, \"value\": 1324}, \"1325\": {\"frequency\": 1, \"value\": 1325}, \"1326\": {\"frequency\": 1, \"value\": 1326}, \"1327\": {\"frequency\": 1, \"value\": 1327}, \"1328\": {\"frequency\": 1, \"value\": 1328}, \"1329\": {\"frequency\": 1, \"value\": 1329}, \"1330\": {\"frequency\": 1, \"value\": 1330}, \"1331\": {\"frequency\": 1, \"value\": 1331}, \"1332\": {\"frequency\": 1, \"value\": 1332}, \"1333\": {\"frequency\": 1, \"value\": 1333}, \"1334\": {\"frequency\": 1, \"value\": 1334}, \"1335\": {\"frequency\": 1, \"value\": 1335}, \"1336\": {\"frequency\": 1, \"value\": 1336}, \"1337\": {\"frequency\": 1, \"value\": 1337}, \"1338\": {\"frequency\": 1, \"value\": 1338}, \"1339\": {\"frequency\": 1, \"value\": 1339}, \"1340\": {\"frequency\": 1, \"value\": 1340}, \"1341\": {\"frequency\": 1, \"value\": 1341}, \"1342\": {\"frequency\": 1, \"value\": 1342}, \"1343\": {\"frequency\": 1, \"value\": 1343}, \"1344\": {\"frequency\": 1, \"value\": 1344}, \"1345\": {\"frequency\": 1, \"value\": 1345}, \"1346\": {\"frequency\": 1, \"value\": 1346}, \"1347\": {\"frequency\": 1, \"value\": 1347}, \"1348\": {\"frequency\": 1, \"value\": 1348}, \"1349\": {\"frequency\": 1, \"value\": 1349}, \"1350\": {\"frequency\": 1, \"value\": 1350}, \"1351\": {\"frequency\": 1, \"value\": 1351}, \"1352\": {\"frequency\": 1, \"value\": 1352}, \"1353\": {\"frequency\": 1, \"value\": 1353}, \"1354\": {\"frequency\": 1, \"value\": 1354}, \"1355\": {\"frequency\": 1, \"value\": 1355}, \"1356\": {\"frequency\": 1, \"value\": 1356}, \"1357\": {\"frequency\": 1, \"value\": 1357}, \"1358\": {\"frequency\": 1, \"value\": 1358}, \"1359\": {\"frequency\": 1, \"value\": 1359}, \"1360\": {\"frequency\": 1, \"value\": 1360}, \"1361\": {\"frequency\": 1, \"value\": 1361}, \"1362\": {\"frequency\": 1, \"value\": 1362}, \"1363\": {\"frequency\": 1, \"value\": 1363}, \"1364\": {\"frequency\": 1, \"value\": 1364}, \"1365\": {\"frequency\": 1, \"value\": 1365}, \"1366\": {\"frequency\": 1, \"value\": 1366}, \"1367\": {\"frequency\": 1, \"value\": 1367}, \"1368\": {\"frequency\": 1, \"value\": 1368}, \"1369\": {\"frequency\": 1, \"value\": 1369}, \"1370\": {\"frequency\": 1, \"value\": 1370}, \"1371\": {\"frequency\": 1, \"value\": 1371}, \"1372\": {\"frequency\": 1, \"value\": 1372}, \"1373\": {\"frequency\": 1, \"value\": 1373}, \"1374\": {\"frequency\": 1, \"value\": 1374}, \"1375\": {\"frequency\": 1, \"value\": 1375}, \"1376\": {\"frequency\": 1, \"value\": 1376}, \"1377\": {\"frequency\": 1, \"value\": 1377}, \"1378\": {\"frequency\": 1, \"value\": 1378}, \"1379\": {\"frequency\": 1, \"value\": 1379}, \"1380\": {\"frequency\": 1, \"value\": 1380}, \"1381\": {\"frequency\": 1, \"value\": 1381}, \"1382\": {\"frequency\": 1, \"value\": 1382}, \"1383\": {\"frequency\": 1, \"value\": 1383}, \"1384\": {\"frequency\": 1, \"value\": 1384}, \"1385\": {\"frequency\": 1, \"value\": 1385}, \"1386\": {\"frequency\": 1, \"value\": 1386}, \"1387\": {\"frequency\": 1, \"value\": 1387}, \"1388\": {\"frequency\": 1, \"value\": 1388}, \"1389\": {\"frequency\": 1, \"value\": 1389}, \"1390\": {\"frequency\": 1, \"value\": 1390}, \"1391\": {\"frequency\": 1, \"value\": 1391}, \"1392\": {\"frequency\": 1, \"value\": 1392}, \"1393\": {\"frequency\": 1, \"value\": 1393}, \"1394\": {\"frequency\": 1, \"value\": 1394}, \"1395\": {\"frequency\": 1, \"value\": 1395}, \"1396\": {\"frequency\": 1, \"value\": 1396}, \"1397\": {\"frequency\": 1, \"value\": 1397}, \"1398\": {\"frequency\": 1, \"value\": 1398}, \"1399\": {\"frequency\": 1, \"value\": 1399}, \"1400\": {\"frequency\": 1, \"value\": 1400}, \"1401\": {\"frequency\": 1, \"value\": 1401}, \"1402\": {\"frequency\": 1, \"value\": 1402}, \"1403\": {\"frequency\": 1, \"value\": 1403}, \"1404\": {\"frequency\": 1, \"value\": 1404}, \"1405\": {\"frequency\": 1, \"value\": 1405}, \"1406\": {\"frequency\": 1, \"value\": 1406}, \"1407\": {\"frequency\": 1, \"value\": 1407}, \"1408\": {\"frequency\": 1, \"value\": 1408}, \"1409\": {\"frequency\": 1, \"value\": 1409}, \"1410\": {\"frequency\": 1, \"value\": 1410}, \"1411\": {\"frequency\": 1, \"value\": 1411}, \"1412\": {\"frequency\": 1, \"value\": 1412}, \"1413\": {\"frequency\": 1, \"value\": 1413}, \"1414\": {\"frequency\": 1, \"value\": 1414}, \"1415\": {\"frequency\": 1, \"value\": 1415}, \"1416\": {\"frequency\": 1, \"value\": 1416}, \"1417\": {\"frequency\": 1, \"value\": 1417}, \"1418\": {\"frequency\": 1, \"value\": 1418}, \"1419\": {\"frequency\": 1, \"value\": 1419}, \"1420\": {\"frequency\": 1, \"value\": 1420}, \"1421\": {\"frequency\": 1, \"value\": 1421}, \"1422\": {\"frequency\": 1, \"value\": 1422}, \"1423\": {\"frequency\": 1, \"value\": 1423}, \"1424\": {\"frequency\": 1, \"value\": 1424}, \"1425\": {\"frequency\": 1, \"value\": 1425}, \"1426\": {\"frequency\": 1, \"value\": 1426}, \"1427\": {\"frequency\": 1, \"value\": 1427}, \"1428\": {\"frequency\": 1, \"value\": 1428}, \"1429\": {\"frequency\": 1, \"value\": 1429}, \"1430\": {\"frequency\": 1, \"value\": 1430}, \"1431\": {\"frequency\": 1, \"value\": 1431}, \"1432\": {\"frequency\": 1, \"value\": 1432}, \"1433\": {\"frequency\": 1, \"value\": 1433}, \"1434\": {\"frequency\": 1, \"value\": 1434}, \"1435\": {\"frequency\": 1, \"value\": 1435}, \"1436\": {\"frequency\": 1, \"value\": 1436}, \"1437\": {\"frequency\": 1, \"value\": 1437}, \"1438\": {\"frequency\": 1, \"value\": 1438}, \"1439\": {\"frequency\": 1, \"value\": 1439}, \"1440\": {\"frequency\": 1, \"value\": 1440}, \"1441\": {\"frequency\": 1, \"value\": 1441}, \"1442\": {\"frequency\": 1, \"value\": 1442}, \"1443\": {\"frequency\": 1, \"value\": 1443}, \"1444\": {\"frequency\": 1, \"value\": 1444}, \"1445\": {\"frequency\": 1, \"value\": 1445}, \"1446\": {\"frequency\": 1, \"value\": 1446}, \"1447\": {\"frequency\": 1, \"value\": 1447}, \"1448\": {\"frequency\": 1, \"value\": 1448}, \"1449\": {\"frequency\": 1, \"value\": 1449}, \"1450\": {\"frequency\": 1, \"value\": 1450}, \"1451\": {\"frequency\": 1, \"value\": 1451}, \"1452\": {\"frequency\": 1, \"value\": 1452}, \"1453\": {\"frequency\": 1, \"value\": 1453}, \"1454\": {\"frequency\": 1, \"value\": 1454}, \"1455\": {\"frequency\": 1, \"value\": 1455}, \"1456\": {\"frequency\": 1, \"value\": 1456}, \"1457\": {\"frequency\": 1, \"value\": 1457}, \"1458\": {\"frequency\": 1, \"value\": 1458}, \"1459\": {\"frequency\": 1, \"value\": 1459}, \"1460\": {\"frequency\": 1, \"value\": 1460}, \"1461\": {\"frequency\": 1, \"value\": 1461}, \"1462\": {\"frequency\": 1, \"value\": 1462}, \"1463\": {\"frequency\": 1, \"value\": 1463}, \"1464\": {\"frequency\": 1, \"value\": 1464}, \"1465\": {\"frequency\": 1, \"value\": 1465}, \"1466\": {\"frequency\": 1, \"value\": 1466}, \"1467\": {\"frequency\": 1, \"value\": 1467}, \"1468\": {\"frequency\": 1, \"value\": 1468}, \"1469\": {\"frequency\": 1, \"value\": 1469}, \"1470\": {\"frequency\": 1, \"value\": 1470}, \"1471\": {\"frequency\": 1, \"value\": 1471}, \"1472\": {\"frequency\": 1, \"value\": 1472}, \"1473\": {\"frequency\": 1, \"value\": 1473}, \"1474\": {\"frequency\": 1, \"value\": 1474}, \"1475\": {\"frequency\": 1, \"value\": 1475}, \"1476\": {\"frequency\": 1, \"value\": 1476}, \"1477\": {\"frequency\": 1, \"value\": 1477}, \"1478\": {\"frequency\": 1, \"value\": 1478}, \"1479\": {\"frequency\": 1, \"value\": 1479}, \"1480\": {\"frequency\": 1, \"value\": 1480}, \"1481\": {\"frequency\": 1, \"value\": 1481}, \"1482\": {\"frequency\": 1, \"value\": 1482}, \"1483\": {\"frequency\": 1, \"value\": 1483}, \"1484\": {\"frequency\": 1, \"value\": 1484}, \"1485\": {\"frequency\": 1, \"value\": 1485}, \"1486\": {\"frequency\": 1, \"value\": 1486}, \"1487\": {\"frequency\": 1, \"value\": 1487}, \"1488\": {\"frequency\": 1, \"value\": 1488}, \"1489\": {\"frequency\": 1, \"value\": 1489}, \"1490\": {\"frequency\": 1, \"value\": 1490}, \"1491\": {\"frequency\": 1, \"value\": 1491}, \"1492\": {\"frequency\": 1, \"value\": 1492}, \"1493\": {\"frequency\": 1, \"value\": 1493}, \"1494\": {\"frequency\": 1, \"value\": 1494}, \"1495\": {\"frequency\": 1, \"value\": 1495}, \"1496\": {\"frequency\": 1, \"value\": 1496}, \"1497\": {\"frequency\": 1, \"value\": 1497}, \"1498\": {\"frequency\": 1, \"value\": 1498}, \"1499\": {\"frequency\": 1, \"value\": 1499}}, \"mean\": 749.5}, \"cluster_id\": {\"std\": 2.85815628217446, \"complete\": true, \"min\": 0.0, \"max\": 9.0, \"quantile\": [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 2.0, 2.0, 2.0, 2.0, 2.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 3.0, 4.0, 4.0, 4.0, 4.0, 4.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 5.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 6.0, 7.0, 7.0, 7.0, 7.0, 7.0, 7.0, 7.0, 7.0, 7.0, 7.0, 8.0, 8.0, 8.0, 8.0, 8.0, 8.0, 8.0, 8.0, 8.0, 8.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0], \"median\": 5.0, \"numeric\": true, \"num_unique\": 10, \"num_undefined\": 0, \"var\": 8.169057333333331, \"progress\": 1.0, \"size\": 1500, \"frequent_items\": {\"0\": {\"frequency\": 156, \"value\": 0}, \"1\": {\"frequency\": 151, \"value\": 1}, \"2\": {\"frequency\": 80, \"value\": 2}, \"3\": {\"frequency\": 188, \"value\": 3}, \"4\": {\"frequency\": 77, \"value\": 4}, \"5\": {\"frequency\": 151, \"value\": 5}, \"6\": {\"frequency\": 249, \"value\": 6}, \"7\": {\"frequency\": 151, \"value\": 7}, \"8\": {\"frequency\": 151, \"value\": 8}, \"9\": {\"frequency\": 146, \"value\": 9}}, \"mean\": 4.674}}, \"selected_variable\": {\"name\": [\"labels_as_sframe\"], \"descriptives\": {\"rows\": 1500, \"columns\": 3}, \"view_component\": \"Summary\", \"view_file\": \"sframe\", \"view_params\": {\"y\": null, \"x\": null, \"columns\": [\"row_id\", \"cluster_id\", \"distance\"], \"view\": null}, \"view_components\": [\"Summary\", \"Table\", \"Bar Chart\", \"BoxWhisker Plot\", \"Line Chart\", \"Scatter Plot\", \"Heat Map\", \"Plots\"], \"type\": \"SFrame\", \"columns\": [{\"dtype\": \"int\", \"name\": \"row_id\"}, {\"dtype\": \"int\", \"name\": \"cluster_id\"}, {\"dtype\": \"float\", \"name\": \"distance\"}], \"column_identifiers\": [\"distance\", \"row_id\", \"cluster_id\"]}, \"columns\": [{\"dtype\": \"int\", \"name\": \"row_id\"}, {\"dtype\": \"int\", \"name\": \"cluster_id\"}, {\"dtype\": \"float\", \"name\": \"distance\"}]}, e);\n",
       "                });\n",
       "            })();\n",
       "        "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "labels_as_sframe = model.get('cluster_id')\n",
    "\n",
    "labels_as_sframe.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[1.35281047 1.08003144]\n",
      " [1.1957476  1.44817864]\n",
      " [1.3735116  0.80454442]\n",
      " ...\n",
      " [5.06400639 2.41583533]\n",
      " [4.8185068  1.96151916]\n",
      " [4.75749685 1.9838803 ]] [6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 8L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 8L, 6L, 6L, 6L, 8L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 8L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, 6L, ... ]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = XS.to_dataframe().values\n",
    "print X,labels_as_sframe['cluster_id']\n",
    "plt.scatter(X[:,0], X[:,1], c=labels_as_sframe['cluster_id'],\n",
    "                     s=10, linewidths=0)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": [
       "$(\"head\").append($(\"<link/>\").attr({\n",
       "  rel:  \"stylesheet\",\n",
       "  type: \"text/css\",\n",
       "  href: \"//cdnjs.cloudflare.com/ajax/libs/font-awesome/4.1.0/css/font-awesome.min.css\"\n",
       "}));\n",
       "$(\"head\").append($(\"<link/>\").attr({\n",
       "  rel:  \"stylesheet\",\n",
       "  type: \"text/css\",\n",
       "  href: \"https://static.turi.com/products/graphlab-create/2.1/canvas/css/canvas.css\"\n",
       "}));\n",
       "\n",
       "            (function(){\n",
       "\n",
       "                var e = null;\n",
       "                if (typeof element == 'undefined') {\n",
       "                    var scripts = document.getElementsByTagName('script');\n",
       "                    var thisScriptTag = scripts[scripts.length-1];\n",
       "                    var parentDiv = thisScriptTag.parentNode;\n",
       "                    e = document.createElement('div');\n",
       "                    parentDiv.appendChild(e);\n",
       "                } else {\n",
       "                    e = element[0];\n",
       "                }\n",
       "\n",
       "                if (typeof requirejs !== 'undefined') {\n",
       "                    // disable load timeout; ipython_app.js is large and can take a while to load.\n",
       "                    requirejs.config({waitSeconds: 0});\n",
       "                }\n",
       "\n",
       "                require(['https://static.turi.com/products/graphlab-create/2.1/canvas/js/ipython_app.js'], function(IPythonApp){\n",
       "                    var app = new IPythonApp();\n",
       "                    app.attachView('model','Summary', {\"comparison\": null, \"selected_variable\": {\"comparison\": null, \"name\": [\"model\"], \"view_file\": \"model\", \"view_component\": \"Summary\", \"view_params\": {\"model_type\": \"base\", \"view\": \"Summary\"}, \"view_components\": [\"Summary\", \"Evaluation\", \"Comparison\"], \"model_type\": \"base\", \"attributes\": {\"section_titles\": [\"Schema\", \"Training Summary\"], \"sections\": [[[\"Number of clusters\", 10], [\"Number of examples\", 1500], [\"Number of feature columns\", 2], [\"Number of unpacked features\", 2], [\"Row label name\", \"row_id\"]], [[\"Training method\", \"elkan\"], [\"Number of training iterations\", 15], [\"Batch size\", 1500], [\"Total training time (seconds)\", 1.0421]]]}, \"evaluations\": [], \"type\": \"Model\"}, \"ipython\": true, \"view_params\": {\"model_type\": \"base\", \"view\": \"Summary\"}, \"model_type\": \"base\", \"attributes\": {\"section_titles\": [\"Schema\", \"Training Summary\"], \"sections\": [[[\"Number of clusters\", 10], [\"Number of examples\", 1500], [\"Number of feature columns\", 2], [\"Number of unpacked features\", 2], [\"Row label name\", \"row_id\"]], [[\"Training method\", \"elkan\"], [\"Number of training iterations\", 15], [\"Batch size\", 1500], [\"Total training time (seconds)\", 1.0421]]]}, \"evaluations\": []}, e);\n",
       "                });\n",
       "            })();\n",
       "        "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.show()"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}