C3/L3_mixture_models_sampling.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "L3_mixture_models_sampling.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3",
      "language": "python"
    },
    "language_info": {
      "name": "python",
      "version": "3.8.5"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "eDRfJeA9i540"
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt \n",
        "import pandas as pd \n",
        "import seaborn as sns\n",
        "import arviz as az\n",
        "from statsmodels.tsa import stattools\n",
        "import statsmodels.api as sm\n",
        "import pymc3 as pm\n",
        "import pymc\n",
        "\n",
        "import sys\n",
        "sys.path.insert(0, '..')\n",
        "from utils.plot_lib import set_default\n",
        "\n",
        "set_default(figsize=(6, 4))"
      ],
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "P_alHv5ljLpp"
      },
      "source": [
        "### Simulating from a mixture model"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "1EF48VnKjPkY",
        "outputId": "953e7140-443e-4108-8569-db2662638a96"
      },
      "source": [
        "from scipy.stats import norm\n",
        "\n",
        "# Generate n observations from a mixture of two Gaussian distributions\n",
        "\n",
        "n     = 50           # Size of the sample to be generated\n",
        "w     = [0.6, 0.4]  # Weights\n",
        "mu    = [0, 5]      # Means\n",
        "sigma = [1, 2]     # Standard deviations\n",
        "### Step 1 ###\n",
        "cc    = np.random.choice([0, 1], n, p= w) # C_i sample \n",
        "x     = []\n",
        "### Step 2 ###\n",
        "for i in range(n):\n",
        "  x.append(norm.rvs(loc = mu[cc[i]], scale = sigma[cc[i]], size = 1))\n",
        "\n",
        "print('The first five samples of C_i are: {}'.format(cc[:5]))\n",
        "print('The first five samples of the mixture are: {}'.format(x[:5]))"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The first five samples of C_i are: [0 1 0 0 1]\nThe first five samples of the mixture are: [array([0.16482109]), array([6.24198948]), array([0.24579074]), array([1.37871779]), array([7.46074407])]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 470
        },
        "id": "BxWfUK8pkYUO",
        "outputId": "af7ef429-259a-40f6-982d-e6fd4f5ef638"
      },
      "source": [
        "# Plot f(x) along with the observations just sampled\n",
        "\n",
        "# Values to sample\n",
        "xx = np.linspace(-5, 12.0, num = 200)\n",
        "\n",
        "yy = w[0] * norm.pdf(loc = mu[0], scale = sigma[0], x = xx) + w[1] * norm.pdf(loc = mu[1], scale = sigma[1], x = xx)\n",
        "\n",
        "# Plotting the mixture models\n",
        "fig, ax = plt.subplots(1, 1)\n",
        "sns.lineplot(xx, yy)\n",
        "sns.scatterplot(np.array(x).ravel(), np.zeros(len(x)), hue = cc)\n",
        "plt.xlabel('xx')\n",
        "plt.ylabel('Density')\n",
        "plt.legend(['Density', 'Points sampled'])\n",
        "plt.show()"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": "<Figure size 600x400 with 1 Axes>",
            "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<!-- Created with matplotlib (https://matplotlib.org/) -->\n<svg height=\"260.631875pt\" version=\"1.1\" viewBox=\"0 0 395.445877 260.631875\" width=\"395.445877pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n <defs>\n  <style type=\"text/css\">\n*{stroke-linecap:butt;stroke-linejoin:round;}\n  </style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 260.631875 \nL 395.445877 260.631875 \nL 395.445877 0 \nL 0 0 \nz\n\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 48.579375 224.64 \nL 383.379375 224.64 \nL 383.379375 7.2 \nL 48.579375 7.2 \nz\n\"/>\n   </g>\n   <g id=\"PathCollection_1\">\n    <defs>\n     <path d=\"M 0 3 \nC 0.795609 3 1.55874 2.683901 2.12132 2.12132 \nC 2.683901 1.55874 3 0.795609 3 0 \nC 3 -0.795609 2.683901 -1.55874 2.12132 -2.12132 \nC 1.55874 -2.683901 0.795609 -3 0 -3 \nC -0.795609 -3 -1.55874 -2.683901 -2.12132 -2.12132 \nC -2.683901 -1.55874 -3 -0.795609 -3 0 \nC -3 0.795609 -2.683901 1.55874 -2.12132 2.12132 \nC -1.55874 2.683901 -0.795609 3 0 3 \nz\n\" id=\"C0_0_229d16d6e0\"/>\n    </defs>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"156.267188\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"265.071251\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"157.716848\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"178.000483\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"286.89152\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"129.788928\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"107.715732\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"135.978812\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"135.329875\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"149.883794\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"244.990816\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"236.148528\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"141.469855\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"131.229947\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"153.278397\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"260.738871\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"152.396572\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"289.248173\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"219.701793\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"216.214143\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"123.961204\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"118.318945\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"145.036279\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"148.893927\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"144.083098\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"157.999635\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"293.075325\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"236.229182\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"183.677734\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"224.355475\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"186.637102\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"175.613818\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"212.145418\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"123.064894\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"233.824441\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"146.986986\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"259.369501\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"264.56384\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"138.441569\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"160.386486\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"242.916392\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"173.565532\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"177.2621\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"138.623417\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"138.567477\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"223.345446\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#a60628;stroke:#ffffff;stroke-width:0.48;\" x=\"263.786103\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"135.070538\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"136.769132\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n    <g clip-path=\"url(#pc58fc0e43a)\">\n     <use style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\" x=\"142.9541\" xlink:href=\"#C0_0_229d16d6e0\" y=\"214.756364\"/>\n    </g>\n   </g>\n   <g id=\"PathCollection_2\"/>\n   <g id=\"PathCollection_3\"/>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 63.797557 224.64 \nL 63.797557 7.2 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_2\">\n      <defs>\n       <path d=\"M 0 0 \nL 0 -3.5 \n\" id=\"md5d6fb4075\" style=\"stroke:#ffffff;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"63.797557\" xlink:href=\"#md5d6fb4075\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- −5.0 -->\n      <defs>\n       <path d=\"M 10.59375 35.5 \nL 73.1875 35.5 \nL 73.1875 27.203125 \nL 10.59375 27.203125 \nz\n\" id=\"DejaVuSans-8722\"/>\n       <path d=\"M 10.796875 72.90625 \nL 49.515625 72.90625 \nL 49.515625 64.59375 \nL 19.828125 64.59375 \nL 19.828125 46.734375 \nQ 21.96875 47.46875 24.109375 47.828125 \nQ 26.265625 48.1875 28.421875 48.1875 \nQ 40.625 48.1875 47.75 41.5 \nQ 54.890625 34.8125 54.890625 23.390625 \nQ 54.890625 11.625 47.5625 5.09375 \nQ 40.234375 -1.421875 26.90625 -1.421875 \nQ 22.3125 -1.421875 17.546875 -0.640625 \nQ 12.796875 0.140625 7.71875 1.703125 \nL 7.71875 11.625 \nQ 12.109375 9.234375 16.796875 8.0625 \nQ 21.484375 6.890625 26.703125 6.890625 \nQ 35.15625 6.890625 40.078125 11.328125 \nQ 45.015625 15.765625 45.015625 23.390625 \nQ 45.015625 31 40.078125 35.4375 \nQ 35.15625 39.890625 26.703125 39.890625 \nQ 22.75 39.890625 18.8125 39.015625 \nQ 14.890625 38.140625 10.796875 36.28125 \nz\n\" id=\"DejaVuSans-53\"/>\n       <path d=\"M 10.6875 12.40625 \nL 21 12.40625 \nL 21 0 \nL 10.6875 0 \nz\n\" id=\"DejaVuSans-46\"/>\n       <path d=\"M 31.78125 66.40625 \nQ 24.171875 66.40625 20.328125 58.90625 \nQ 16.5 51.421875 16.5 36.375 \nQ 16.5 21.390625 20.328125 13.890625 \nQ 24.171875 6.390625 31.78125 6.390625 \nQ 39.453125 6.390625 43.28125 13.890625 \nQ 47.125 21.390625 47.125 36.375 \nQ 47.125 51.421875 43.28125 58.90625 \nQ 39.453125 66.40625 31.78125 66.40625 \nz\nM 31.78125 74.21875 \nQ 44.046875 74.21875 50.515625 64.515625 \nQ 56.984375 54.828125 56.984375 36.375 \nQ 56.984375 17.96875 50.515625 8.265625 \nQ 44.046875 -1.421875 31.78125 -1.421875 \nQ 19.53125 -1.421875 13.0625 8.265625 \nQ 6.59375 17.96875 6.59375 36.375 \nQ 6.59375 54.828125 13.0625 64.515625 \nQ 19.53125 74.21875 31.78125 74.21875 \nz\n\" id=\"DejaVuSans-48\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(51.656151 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_3\">\n      <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 108.556915 224.64 \nL 108.556915 7.2 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_4\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"108.556915\" xlink:href=\"#md5d6fb4075\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- −2.5 -->\n      <defs>\n       <path d=\"M 19.1875 8.296875 \nL 53.609375 8.296875 \nL 53.609375 0 \nL 7.328125 0 \nL 7.328125 8.296875 \nQ 12.9375 14.109375 22.625 23.890625 \nQ 32.328125 33.6875 34.8125 36.53125 \nQ 39.546875 41.84375 41.421875 45.53125 \nQ 43.3125 49.21875 43.3125 52.78125 \nQ 43.3125 58.59375 39.234375 62.25 \nQ 35.15625 65.921875 28.609375 65.921875 \nQ 23.96875 65.921875 18.8125 64.3125 \nQ 13.671875 62.703125 7.8125 59.421875 \nL 7.8125 69.390625 \nQ 13.765625 71.78125 18.9375 73 \nQ 24.125 74.21875 28.421875 74.21875 \nQ 39.75 74.21875 46.484375 68.546875 \nQ 53.21875 62.890625 53.21875 53.421875 \nQ 53.21875 48.921875 51.53125 44.890625 \nQ 49.859375 40.875 45.40625 35.40625 \nQ 44.1875 33.984375 37.640625 27.21875 \nQ 31.109375 20.453125 19.1875 8.296875 \nz\n\" id=\"DejaVuSans-50\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(96.415509 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-8722\"/>\n       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_5\">\n      <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 153.316273 224.64 \nL 153.316273 7.2 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_6\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"153.316273\" xlink:href=\"#md5d6fb4075\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 0.0 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(145.364711 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_7\">\n      <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 198.075632 224.64 \nL 198.075632 7.2 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_8\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"198.075632\" xlink:href=\"#md5d6fb4075\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 2.5 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(190.124069 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_9\">\n      <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 242.83499 224.64 \nL 242.83499 7.2 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_10\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"242.83499\" xlink:href=\"#md5d6fb4075\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 5.0 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(234.883427 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-53\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_11\">\n      <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 287.594348 224.64 \nL 287.594348 7.2 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_12\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"287.594348\" xlink:href=\"#md5d6fb4075\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 7.5 -->\n      <defs>\n       <path d=\"M 8.203125 72.90625 \nL 55.078125 72.90625 \nL 55.078125 68.703125 \nL 28.609375 0 \nL 18.3125 0 \nL 43.21875 64.59375 \nL 8.203125 64.59375 \nz\n\" id=\"DejaVuSans-55\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(279.642786 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-55\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_7\">\n     <g id=\"line2d_13\">\n      <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 332.353707 224.64 \nL 332.353707 7.2 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_14\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"332.353707\" xlink:href=\"#md5d6fb4075\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_7\">\n      <!-- 10.0 -->\n      <defs>\n       <path d=\"M 12.40625 8.296875 \nL 28.515625 8.296875 \nL 28.515625 63.921875 \nL 10.984375 60.40625 \nL 10.984375 69.390625 \nL 28.421875 72.90625 \nL 38.28125 72.90625 \nL 38.28125 8.296875 \nL 54.390625 8.296875 \nL 54.390625 0 \nL 12.40625 0 \nz\n\" id=\"DejaVuSans-49\"/>\n      </defs>\n      <g style=\"fill:#ffffff;\" transform=\"translate(321.220894 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_8\">\n     <g id=\"line2d_15\">\n      <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 377.113065 224.64 \nL 377.113065 7.2 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_16\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"377.113065\" xlink:href=\"#md5d6fb4075\" y=\"224.64\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 12.5 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(365.980252 235.738437)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"127.246094\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_9\">\n     <!-- xx -->\n     <defs>\n      <path d=\"M 54.890625 54.6875 \nL 35.109375 28.078125 \nL 55.90625 0 \nL 45.3125 0 \nL 29.390625 21.484375 \nL 13.484375 0 \nL 2.875 0 \nL 24.125 28.609375 \nL 4.6875 54.6875 \nL 15.28125 54.6875 \nL 29.78125 35.203125 \nL 44.28125 54.6875 \nz\n\" id=\"DejaVuSans-120\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(208.876875 250.93625)scale(0.12 -0.12)\">\n      <use xlink:href=\"#DejaVuSans-120\"/>\n      <use x=\"59.179688\" xlink:href=\"#DejaVuSans-120\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_17\">\n      <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 48.579375 214.756364 \nL 383.379375 214.756364 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_18\">\n      <defs>\n       <path d=\"M 0 0 \nL 3.5 0 \n\" id=\"m82b1cdf8c4\" style=\"stroke:#ffffff;stroke-width:0.8;\"/>\n      </defs>\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"48.579375\" xlink:href=\"#m82b1cdf8c4\" y=\"214.756364\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.00 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 218.555582)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_19\">\n      <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 48.579375 174.059115 \nL 383.379375 174.059115 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_20\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"48.579375\" xlink:href=\"#m82b1cdf8c4\" y=\"174.059115\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.05 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 177.858334)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_21\">\n      <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 48.579375 133.361866 \nL 383.379375 133.361866 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_22\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"48.579375\" xlink:href=\"#m82b1cdf8c4\" y=\"133.361866\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.10 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 137.161085)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_23\">\n      <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 48.579375 92.664618 \nL 383.379375 92.664618 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_24\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"48.579375\" xlink:href=\"#m82b1cdf8c4\" y=\"92.664618\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.15 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 96.463836)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_25\">\n      <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 48.579375 51.967369 \nL 383.379375 51.967369 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_26\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"48.579375\" xlink:href=\"#m82b1cdf8c4\" y=\"51.967369\"/>\n      </g>\n     </g>\n     <g id=\"text_14\">\n      <!-- 0.20 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 55.766588)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_27\">\n      <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 48.579375 11.27012 \nL 383.379375 11.27012 \n\" style=\"fill:none;stroke:#b2b2b2;stroke-dasharray:1.85,0.8;stroke-dashoffset:0;stroke-width:0.5;\"/>\n     </g>\n     <g id=\"line2d_28\">\n      <g>\n       <use style=\"fill:#ffffff;stroke:#ffffff;stroke-width:0.8;\" x=\"48.579375\" xlink:href=\"#m82b1cdf8c4\" y=\"11.27012\"/>\n      </g>\n     </g>\n     <g id=\"text_15\">\n      <!-- 0.25 -->\n      <g style=\"fill:#ffffff;\" transform=\"translate(22.81375 15.069339)scale(0.1 -0.1)\">\n       <use xlink:href=\"#DejaVuSans-48\"/>\n       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_16\">\n     <!-- Density -->\n     <defs>\n      <path d=\"M 19.671875 64.796875 \nL 19.671875 8.109375 \nL 31.59375 8.109375 \nQ 46.6875 8.109375 53.6875 14.9375 \nQ 60.6875 21.78125 60.6875 36.53125 \nQ 60.6875 51.171875 53.6875 57.984375 \nQ 46.6875 64.796875 31.59375 64.796875 \nz\nM 9.8125 72.90625 \nL 30.078125 72.90625 \nQ 51.265625 72.90625 61.171875 64.09375 \nQ 71.09375 55.28125 71.09375 36.53125 \nQ 71.09375 17.671875 61.125 8.828125 \nQ 51.171875 0 30.078125 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-68\"/>\n      <path d=\"M 56.203125 29.59375 \nL 56.203125 25.203125 \nL 14.890625 25.203125 \nQ 15.484375 15.921875 20.484375 11.0625 \nQ 25.484375 6.203125 34.421875 6.203125 \nQ 39.59375 6.203125 44.453125 7.46875 \nQ 49.3125 8.734375 54.109375 11.28125 \nL 54.109375 2.78125 \nQ 49.265625 0.734375 44.1875 -0.34375 \nQ 39.109375 -1.421875 33.890625 -1.421875 \nQ 20.796875 -1.421875 13.15625 6.1875 \nQ 5.515625 13.8125 5.515625 26.8125 \nQ 5.515625 40.234375 12.765625 48.109375 \nQ 20.015625 56 32.328125 56 \nQ 43.359375 56 49.78125 48.890625 \nQ 56.203125 41.796875 56.203125 29.59375 \nz\nM 47.21875 32.234375 \nQ 47.125 39.59375 43.09375 43.984375 \nQ 39.0625 48.390625 32.421875 48.390625 \nQ 24.90625 48.390625 20.390625 44.140625 \nQ 15.875 39.890625 15.1875 32.171875 \nz\n\" id=\"DejaVuSans-101\"/>\n      <path d=\"M 54.890625 33.015625 \nL 54.890625 0 \nL 45.90625 0 \nL 45.90625 32.71875 \nQ 45.90625 40.484375 42.875 44.328125 \nQ 39.84375 48.1875 33.796875 48.1875 \nQ 26.515625 48.1875 22.3125 43.546875 \nQ 18.109375 38.921875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.34375 51.125 25.703125 53.5625 \nQ 30.078125 56 35.796875 56 \nQ 45.21875 56 50.046875 50.171875 \nQ 54.890625 44.34375 54.890625 33.015625 \nz\n\" id=\"DejaVuSans-110\"/>\n      <path d=\"M 44.28125 53.078125 \nL 44.28125 44.578125 \nQ 40.484375 46.53125 36.375 47.5 \nQ 32.28125 48.484375 27.875 48.484375 \nQ 21.1875 48.484375 17.84375 46.4375 \nQ 14.5 44.390625 14.5 40.28125 \nQ 14.5 37.15625 16.890625 35.375 \nQ 19.28125 33.59375 26.515625 31.984375 \nL 29.59375 31.296875 \nQ 39.15625 29.25 43.1875 25.515625 \nQ 47.21875 21.78125 47.21875 15.09375 \nQ 47.21875 7.46875 41.1875 3.015625 \nQ 35.15625 -1.421875 24.609375 -1.421875 \nQ 20.21875 -1.421875 15.453125 -0.5625 \nQ 10.6875 0.296875 5.421875 2 \nL 5.421875 11.28125 \nQ 10.40625 8.6875 15.234375 7.390625 \nQ 20.0625 6.109375 24.8125 6.109375 \nQ 31.15625 6.109375 34.5625 8.28125 \nQ 37.984375 10.453125 37.984375 14.40625 \nQ 37.984375 18.0625 35.515625 20.015625 \nQ 33.0625 21.96875 24.703125 23.78125 \nL 21.578125 24.515625 \nQ 13.234375 26.265625 9.515625 29.90625 \nQ 5.8125 33.546875 5.8125 39.890625 \nQ 5.8125 47.609375 11.28125 51.796875 \nQ 16.75 56 26.8125 56 \nQ 31.78125 56 36.171875 55.265625 \nQ 40.578125 54.546875 44.28125 53.078125 \nz\n\" id=\"DejaVuSans-115\"/>\n      <path d=\"M 9.421875 54.6875 \nL 18.40625 54.6875 \nL 18.40625 0 \nL 9.421875 0 \nz\nM 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 64.59375 \nL 9.421875 64.59375 \nz\n\" id=\"DejaVuSans-105\"/>\n      <path d=\"M 18.3125 70.21875 \nL 18.3125 54.6875 \nL 36.8125 54.6875 \nL 36.8125 47.703125 \nL 18.3125 47.703125 \nL 18.3125 18.015625 \nQ 18.3125 11.328125 20.140625 9.421875 \nQ 21.96875 7.515625 27.59375 7.515625 \nL 36.8125 7.515625 \nL 36.8125 0 \nL 27.59375 0 \nQ 17.1875 0 13.234375 3.875 \nQ 9.28125 7.765625 9.28125 18.015625 \nL 9.28125 47.703125 \nL 2.6875 47.703125 \nL 2.6875 54.6875 \nL 9.28125 54.6875 \nL 9.28125 70.21875 \nz\n\" id=\"DejaVuSans-116\"/>\n      <path d=\"M 32.171875 -5.078125 \nQ 28.375 -14.84375 24.75 -17.8125 \nQ 21.140625 -20.796875 15.09375 -20.796875 \nL 7.90625 -20.796875 \nL 7.90625 -13.28125 \nL 13.1875 -13.28125 \nQ 16.890625 -13.28125 18.9375 -11.515625 \nQ 21 -9.765625 23.484375 -3.21875 \nL 25.09375 0.875 \nL 2.984375 54.6875 \nL 12.5 54.6875 \nL 29.59375 11.921875 \nL 46.6875 54.6875 \nL 56.203125 54.6875 \nz\n\" id=\"DejaVuSans-121\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(16.318125 138.730312)rotate(-90)scale(0.12 -0.12)\">\n      <use xlink:href=\"#DejaVuSans-68\"/>\n      <use x=\"77.001953\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"138.525391\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"201.904297\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"254.003906\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"281.787109\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"320.996094\" xlink:href=\"#DejaVuSans-121\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_29\">\n    <path clip-path=\"url(#pc58fc0e43a)\" d=\"M 63.797557 214.755396 \nL 83.680608 214.651945 \nL 89.79847 214.389147 \nL 92.857401 214.095487 \nL 95.916333 213.599974 \nL 98.975264 212.789659 \nL 100.504729 212.218924 \nL 102.034195 211.50599 \nL 103.56366 210.622609 \nL 105.093126 209.536923 \nL 106.622591 208.213525 \nL 108.152057 206.613685 \nL 109.681522 204.695763 \nL 111.210988 202.415852 \nL 112.740453 199.728657 \nL 114.269919 196.588636 \nL 115.799384 192.951403 \nL 117.32885 188.775386 \nL 118.858315 184.023699 \nL 120.387781 178.666211 \nL 121.917246 172.681718 \nL 123.446712 166.060152 \nL 124.976177 158.804736 \nL 128.035108 142.48322 \nL 131.094039 124.075341 \nL 135.682436 94.066586 \nL 140.270832 64.276304 \nL 143.329763 46.628226 \nL 144.859229 38.955819 \nL 146.388694 32.251867 \nL 147.91816 26.648264 \nL 149.447625 22.256484 \nL 150.977091 19.163649 \nL 152.506556 17.429388 \nL 154.036022 17.083636 \nL 155.565487 18.125502 \nL 157.094953 20.523238 \nL 158.624418 24.215334 \nL 160.153884 29.11267 \nL 161.683349 35.101628 \nL 163.212815 42.047997 \nL 164.74228 49.801495 \nL 167.801211 67.078071 \nL 175.448539 112.957785 \nL 178.50747 129.419095 \nL 180.036936 136.834273 \nL 181.566401 143.625152 \nL 183.095867 149.754661 \nL 184.625332 155.203107 \nL 186.154798 159.966536 \nL 187.684263 164.05479 \nL 189.213729 167.489375 \nL 190.743194 170.301267 \nL 192.27266 172.528736 \nL 193.802125 174.215287 \nL 195.331591 175.407769 \nL 196.861056 176.154708 \nL 198.390522 176.504882 \nL 199.919987 176.506163 \nL 201.449453 176.204607 \nL 202.978918 175.643785 \nL 204.508384 174.864342 \nL 206.037849 173.903732 \nL 209.09678 171.572437 \nL 212.155711 168.885024 \nL 222.86197 159.066132 \nL 225.920901 156.616377 \nL 228.979832 154.471268 \nL 232.038763 152.686424 \nL 235.097694 151.305779 \nL 238.156625 150.362301 \nL 239.68609 150.06186 \nL 241.215556 149.878198 \nL 242.745021 149.812411 \nL 244.274487 149.864924 \nL 245.803952 150.035492 \nL 247.333418 150.323216 \nL 250.392349 151.243312 \nL 253.45128 152.605425 \nL 256.510211 154.380521 \nL 259.569142 156.531376 \nL 262.628073 159.013888 \nL 265.687004 161.778589 \nL 270.275401 166.337755 \nL 276.393263 172.895239 \nL 287.099521 184.507921 \nL 291.687918 189.15029 \nL 296.276314 193.43319 \nL 299.335245 196.054021 \nL 302.394176 198.472001 \nL 305.453107 200.680465 \nL 308.512038 202.677888 \nL 311.570969 204.467233 \nL 314.6299 206.055229 \nL 317.688831 207.451642 \nL 320.747762 208.668539 \nL 325.336159 210.187511 \nL 329.924555 211.383328 \nL 334.512952 212.306715 \nL 339.101349 213.006294 \nL 345.219211 213.666854 \nL 351.337073 214.0976 \nL 358.9844 214.419251 \nL 368.161193 214.6143 \nL 368.161193 214.6143 \n\" style=\"fill:none;stroke:#348abd;stroke-linecap:square;stroke-width:2;\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 48.579375 224.64 \nL 48.579375 7.2 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 383.379375 224.64 \nL 383.379375 7.2 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 48.579375 224.64 \nL 383.379375 224.64 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 48.579375 7.2 \nL 383.379375 7.2 \n\" style=\"fill:none;stroke:#bcbcbc;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_7\">\n     <path d=\"M 268.46375 44.55625 \nL 376.379375 44.55625 \nQ 378.379375 44.55625 378.379375 42.55625 \nL 378.379375 14.2 \nQ 378.379375 12.2 376.379375 12.2 \nL 268.46375 12.2 \nQ 266.46375 12.2 266.46375 14.2 \nL 266.46375 42.55625 \nQ 266.46375 44.55625 268.46375 44.55625 \nz\n\" style=\"opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;stroke-width:0.5;\"/>\n    </g>\n    <g id=\"line2d_30\">\n     <path d=\"M 270.46375 20.298437 \nL 290.46375 20.298437 \n\" style=\"fill:none;stroke:#348abd;stroke-linecap:square;stroke-width:2;\"/>\n    </g>\n    <g id=\"line2d_31\"/>\n    <g id=\"text_17\">\n     <!-- Density -->\n     <g style=\"fill:#ffffff;\" transform=\"translate(298.46375 23.798437)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-68\"/>\n      <use x=\"77.001953\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"138.525391\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"201.904297\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"254.003906\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"281.787109\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"320.996094\" xlink:href=\"#DejaVuSans-121\"/>\n     </g>\n    </g>\n    <g id=\"PathCollection_4\">\n     <path d=\"M 280.46375 38.851562 \nC 281.259359 38.851562 282.02249 38.535464 282.58507 37.972883 \nC 283.147651 37.410302 283.46375 36.647172 283.46375 35.851562 \nC 283.46375 35.055953 283.147651 34.292823 282.58507 33.730242 \nC 282.02249 33.167661 281.259359 32.851562 280.46375 32.851562 \nC 279.668141 32.851562 278.90501 33.167661 278.34243 33.730242 \nC 277.779849 34.292823 277.46375 35.055953 277.46375 35.851562 \nC 277.46375 36.647172 277.779849 37.410302 278.34243 37.972883 \nC 278.90501 38.535464 279.668141 38.851562 280.46375 38.851562 \nz\n\" style=\"fill:#348abd;stroke:#ffffff;stroke-width:0.48;\"/>\n    </g>\n    <g id=\"text_18\">\n     <!-- Points sampled -->\n     <defs>\n      <path d=\"M 19.671875 64.796875 \nL 19.671875 37.40625 \nL 32.078125 37.40625 \nQ 38.96875 37.40625 42.71875 40.96875 \nQ 46.484375 44.53125 46.484375 51.125 \nQ 46.484375 57.671875 42.71875 61.234375 \nQ 38.96875 64.796875 32.078125 64.796875 \nz\nM 9.8125 72.90625 \nL 32.078125 72.90625 \nQ 44.34375 72.90625 50.609375 67.359375 \nQ 56.890625 61.8125 56.890625 51.125 \nQ 56.890625 40.328125 50.609375 34.8125 \nQ 44.34375 29.296875 32.078125 29.296875 \nL 19.671875 29.296875 \nL 19.671875 0 \nL 9.8125 0 \nz\n\" id=\"DejaVuSans-80\"/>\n      <path d=\"M 30.609375 48.390625 \nQ 23.390625 48.390625 19.1875 42.75 \nQ 14.984375 37.109375 14.984375 27.296875 \nQ 14.984375 17.484375 19.15625 11.84375 \nQ 23.34375 6.203125 30.609375 6.203125 \nQ 37.796875 6.203125 41.984375 11.859375 \nQ 46.1875 17.53125 46.1875 27.296875 \nQ 46.1875 37.015625 41.984375 42.703125 \nQ 37.796875 48.390625 30.609375 48.390625 \nz\nM 30.609375 56 \nQ 42.328125 56 49.015625 48.375 \nQ 55.71875 40.765625 55.71875 27.296875 \nQ 55.71875 13.875 49.015625 6.21875 \nQ 42.328125 -1.421875 30.609375 -1.421875 \nQ 18.84375 -1.421875 12.171875 6.21875 \nQ 5.515625 13.875 5.515625 27.296875 \nQ 5.515625 40.765625 12.171875 48.375 \nQ 18.84375 56 30.609375 56 \nz\n\" id=\"DejaVuSans-111\"/>\n      <path id=\"DejaVuSans-32\"/>\n      <path d=\"M 34.28125 27.484375 \nQ 23.390625 27.484375 19.1875 25 \nQ 14.984375 22.515625 14.984375 16.5 \nQ 14.984375 11.71875 18.140625 8.90625 \nQ 21.296875 6.109375 26.703125 6.109375 \nQ 34.1875 6.109375 38.703125 11.40625 \nQ 43.21875 16.703125 43.21875 25.484375 \nL 43.21875 27.484375 \nz\nM 52.203125 31.203125 \nL 52.203125 0 \nL 43.21875 0 \nL 43.21875 8.296875 \nQ 40.140625 3.328125 35.546875 0.953125 \nQ 30.953125 -1.421875 24.3125 -1.421875 \nQ 15.921875 -1.421875 10.953125 3.296875 \nQ 6 8.015625 6 15.921875 \nQ 6 25.140625 12.171875 29.828125 \nQ 18.359375 34.515625 30.609375 34.515625 \nL 43.21875 34.515625 \nL 43.21875 35.40625 \nQ 43.21875 41.609375 39.140625 45 \nQ 35.0625 48.390625 27.6875 48.390625 \nQ 23 48.390625 18.546875 47.265625 \nQ 14.109375 46.140625 10.015625 43.890625 \nL 10.015625 52.203125 \nQ 14.9375 54.109375 19.578125 55.046875 \nQ 24.21875 56 28.609375 56 \nQ 40.484375 56 46.34375 49.84375 \nQ 52.203125 43.703125 52.203125 31.203125 \nz\n\" id=\"DejaVuSans-97\"/>\n      <path d=\"M 52 44.1875 \nQ 55.375 50.25 60.0625 53.125 \nQ 64.75 56 71.09375 56 \nQ 79.640625 56 84.28125 50.015625 \nQ 88.921875 44.046875 88.921875 33.015625 \nL 88.921875 0 \nL 79.890625 0 \nL 79.890625 32.71875 \nQ 79.890625 40.578125 77.09375 44.375 \nQ 74.3125 48.1875 68.609375 48.1875 \nQ 61.625 48.1875 57.5625 43.546875 \nQ 53.515625 38.921875 53.515625 30.90625 \nL 53.515625 0 \nL 44.484375 0 \nL 44.484375 32.71875 \nQ 44.484375 40.625 41.703125 44.40625 \nQ 38.921875 48.1875 33.109375 48.1875 \nQ 26.21875 48.1875 22.15625 43.53125 \nQ 18.109375 38.875 18.109375 30.90625 \nL 18.109375 0 \nL 9.078125 0 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.1875 \nQ 21.1875 51.21875 25.484375 53.609375 \nQ 29.78125 56 35.6875 56 \nQ 41.65625 56 45.828125 52.96875 \nQ 50 49.953125 52 44.1875 \nz\n\" id=\"DejaVuSans-109\"/>\n      <path d=\"M 18.109375 8.203125 \nL 18.109375 -20.796875 \nL 9.078125 -20.796875 \nL 9.078125 54.6875 \nL 18.109375 54.6875 \nL 18.109375 46.390625 \nQ 20.953125 51.265625 25.265625 53.625 \nQ 29.59375 56 35.59375 56 \nQ 45.5625 56 51.78125 48.09375 \nQ 58.015625 40.1875 58.015625 27.296875 \nQ 58.015625 14.40625 51.78125 6.484375 \nQ 45.5625 -1.421875 35.59375 -1.421875 \nQ 29.59375 -1.421875 25.265625 0.953125 \nQ 20.953125 3.328125 18.109375 8.203125 \nz\nM 48.6875 27.296875 \nQ 48.6875 37.203125 44.609375 42.84375 \nQ 40.53125 48.484375 33.40625 48.484375 \nQ 26.265625 48.484375 22.1875 42.84375 \nQ 18.109375 37.203125 18.109375 27.296875 \nQ 18.109375 17.390625 22.1875 11.75 \nQ 26.265625 6.109375 33.40625 6.109375 \nQ 40.53125 6.109375 44.609375 11.75 \nQ 48.6875 17.390625 48.6875 27.296875 \nz\n\" id=\"DejaVuSans-112\"/>\n      <path d=\"M 9.421875 75.984375 \nL 18.40625 75.984375 \nL 18.40625 0 \nL 9.421875 0 \nz\n\" id=\"DejaVuSans-108\"/>\n      <path d=\"M 45.40625 46.390625 \nL 45.40625 75.984375 \nL 54.390625 75.984375 \nL 54.390625 0 \nL 45.40625 0 \nL 45.40625 8.203125 \nQ 42.578125 3.328125 38.25 0.953125 \nQ 33.9375 -1.421875 27.875 -1.421875 \nQ 17.96875 -1.421875 11.734375 6.484375 \nQ 5.515625 14.40625 5.515625 27.296875 \nQ 5.515625 40.1875 11.734375 48.09375 \nQ 17.96875 56 27.875 56 \nQ 33.9375 56 38.25 53.625 \nQ 42.578125 51.265625 45.40625 46.390625 \nz\nM 14.796875 27.296875 \nQ 14.796875 17.390625 18.875 11.75 \nQ 22.953125 6.109375 30.078125 6.109375 \nQ 37.203125 6.109375 41.296875 11.75 \nQ 45.40625 17.390625 45.40625 27.296875 \nQ 45.40625 37.203125 41.296875 42.84375 \nQ 37.203125 48.484375 30.078125 48.484375 \nQ 22.953125 48.484375 18.875 42.84375 \nQ 14.796875 37.203125 14.796875 27.296875 \nz\n\" id=\"DejaVuSans-100\"/>\n     </defs>\n     <g style=\"fill:#ffffff;\" transform=\"translate(298.46375 38.476562)scale(0.1 -0.1)\">\n      <use xlink:href=\"#DejaVuSans-80\"/>\n      <use x=\"56.677734\" xlink:href=\"#DejaVuSans-111\"/>\n      <use x=\"117.859375\" xlink:href=\"#DejaVuSans-105\"/>\n      <use x=\"145.642578\" xlink:href=\"#DejaVuSans-110\"/>\n      <use x=\"209.021484\" xlink:href=\"#DejaVuSans-116\"/>\n      <use x=\"248.230469\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"300.330078\" xlink:href=\"#DejaVuSans-32\"/>\n      <use x=\"332.117188\" xlink:href=\"#DejaVuSans-115\"/>\n      <use x=\"384.216797\" xlink:href=\"#DejaVuSans-97\"/>\n      <use x=\"445.496094\" xlink:href=\"#DejaVuSans-109\"/>\n      <use x=\"542.908203\" xlink:href=\"#DejaVuSans-112\"/>\n      <use x=\"606.384766\" xlink:href=\"#DejaVuSans-108\"/>\n      <use x=\"634.167969\" xlink:href=\"#DejaVuSans-101\"/>\n      <use x=\"695.691406\" xlink:href=\"#DejaVuSans-100\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"pc58fc0e43a\">\n   <rect height=\"217.44\" width=\"334.8\" x=\"48.579375\" y=\"7.2\"/>\n  </clipPath>\n </defs>\n</svg>\n",
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiQAAAFpCAYAAACs3TNfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOydeViU1f7AP8POCCrIqoiEimKZcKW0zK3SUnNJr1jeLDXL1C5umSltv9tVU8ut0qwQEq+lpmnmhltpmimGRYpbiDsIooAwgMD7+4MYIXEBZt4zw3s+z3OeZ5x53/N+P3PGmS/nPYsOUJBIJBKJRCIRiI3oACQSiUQikUhkQiKRSCQSiUQ4MiGRSCQSiUQiHJmQSCQSiUQiEY5MSCQSiUQikQhHJiQSiUQikUiEIxMSiUQikUgkwpEJiUQikUgkEuHYiQ7AUmjQoAEGg0F0GBKJRCKRWB3Ozs5cvny5RnXIhITSZGTFihWiw5BIJBKJxGoZNGhQjZISi0hIRo0axaRJk/D19eXw4cOMGzeOn376qdJjn376aUaNGkVISAiOjo4cPnyYd999l7i4OOMxL7zwAjExMTed6+TkREFBwU3Pl/WMDBo0yOS9JN7e3qSlpZm0TmtAemsL6a0ttOoN2nW/nbezszMrVqwwye+nIrKEh4crBQUFyosvvqi0bNlSmTt3rpKTk6M0bty40uPnzp2rTJo0SQkLC1OaNWumTJs2TSkoKFBCQkKMx7zwwgvK1atXFW9v7wrlVjHo9Xpl27Ztil6vN7lfZGSk0PdXVJHe2irSW1tFq95adr+dt6l+Q4X3kEyYMIGoqCiioqIAGD9+PE888QSjRo1i6tSpNx0/fvz4Cv+OjIykb9++9O7dm0OHDhmfVxRFk1msRCKRSCTWiNBZNvb29rRt27bC7RaAuLg4Hn744buqQ6fT4erqSmZmZoXnXVxcSElJ4ezZs6xfv56QkJA71uXi4oKrq6uxODg43L3MLVi/fn2N67BGpLe2kN7aQqveoF13NbyF9pB4eHhgZ2d3U09GWloaPj4+d1XHxIkTqVOnDitXrjQ+d/ToUYYOHUpiYiJ169Zl7Nix7NmzhzZt2nDy5Mlb1nX+/Hns7G68JTt27CAmJoYNGzYwatQooDRZsrOz49FHHwVgwYIFDBgwgEaNGnHx4kVWrlzJ2LFjAfjhhx8ICgqid+/eAHz66ac8+eSTBAQEkJGRQXR0NJMmTQJgz549ZGZmGo+NioqiU6dONG/enKysLBYuXMiUKVMA2L9/P+fOnaN///4ALF26lLCwMFq1aoXBYGDOnDlMmTIFGxsbEhISOH78OIMGDQLgq6++Ijg4mJCQEIqKipg5cyYTJ07EycmJw4cPk5CQwHPPPQfA6tWradKkCWFhYQBMmzaNiIgIXF1dOXbsGHv27GH48OEArFu3Dk9PT2MiuW/fPkaNGoW7uzvJycls3bqVkSNHArBp0yb0ej2dO3cGYO7cuQwePBhvb2/OnTvHunXrGDNmDADbtm0D4PHHHwfgk08+oW/fvvj5+ZGWlsby5cuNvWY//vgjeXl59OjRA4DFixfTrVs3AgMDyczM5IsvvuD1118HYO/evaSnp9O3b18AlixZQocOHWjRogU5OTksWLCAyMhIAOLj4zl9+jQDBgwAYNmyZYSGhnLvvfeSn5/Phx9+yOTJk7GzsyM3N5dr167x7LPPArBixQqCgoIIDQ2lpKSEGTNmMGHCBJydnTly5Ajx8fE8//zzAKxZswY/Pz8efPBBAGbMmMHo0aOpV68eJ06cYNeuXbz44otA6ZeDu7s7HTp0AGD27NkMGzYMDw8PUlJS2Lx5M6+88goAW7ZswdHRkS5dugAwf/58wsPD8fX15fz586xevZqIiAjjZ76oqIju3bsDsGjRInr16oW/vz/p6enExsYyYcIEAHbv3k12dja9evXCw8ODGTNm0LVrV5o1a8aVK1dYvHgxb7zxhvHzkJqaSr9+/QCIiYmhXbt2BAcHk5uby7x585g6dSo6nY6DBw+SnJzMwIEDAVi+fDmtW7emdevWFBYWMnv2bCZNmoSDgwOJiYkkJiYyePBgAFatWkVgYCBt27ZFURSmT5/OuHHjqFOnDklJSfzyyy8MHToUgLVr1+Lj40P79u0BeP/99xk5ciRubm6cPHmSnTt38tJLLwGwYcMG6tatS8eOHQGYM2cOQ4YMITg4mF9//bVG3xEFBQU88cQTVvUdMWzYMDIyMmr0HTFr1ixGjBhhdd8RHTp04NSpU9X+jjh06BBJSUlW9x1R1uaVfUeU/b82BcLuSfn6+iqKoijt27ev8PzUqVOVpKSkO57/zDPPKNeuXVMee+yx2x6n0+mUhIQEZf78+be9/+Xl5aW4uroai4ODg1nvu9XmIr21VaS3topWvbXsXuvHkGRkZFBUVHRTb4iXl9cdx3+Eh4cTFRXFwIED2b59+22PVRSFAwcO0Lx589sed+3aNfLy8u4ueIlEIrEQ2rVrZ/xLWFEUs1/Py8vrpvF8WkGL7jqdjkaNGmFnZ0dRUZFZryU069q3b5/yySefVHju8OHDyvTp0295zjPPPKPk5eUpffv2vevr7N+/X4mKijJrdldZMUUvizUW6a2tIr3FlYEDBypPP/20Ymtrq9o1dTqdcG9RRavu999/vzJ8+PBKXzPVb6jwpePnzJnDiBEjGDZsGC1btmTOnDn4+/vz6aefAjB9+nS+/PJL4/HPPPMMS5cuZeLEiezbtw9vb2+8vb2pW7eu8Zi3336b7t27c88999CmTRuioqIICQkx1qkmw4YNU/2aloD01hbSWxyNGzfm22+/pbi4WLVrNmjQQLVrWRpadb9w4QL169c36zWET/tduXIlDRo04O2338bX15c//viDnj17cubMGQB8fX3x9/c3Hj9y5Ejs7e1ZuHAhCxcuND4fExNj/HKoX78+n332GT4+PmRlZZGQkECnTp04cOCAunKUDtzVItJbW0hvcahxi+bvlB/8rzW06m5nZ2f2z5pFvLOLFi1i0aJFlb72979Aunbtesf6JkyYYJwJIJqUlBTRIQhBq97Jp8+AzgaUEtGhqIpW21ur3oWFhaJDEIZW3dXwtoiEpDazefNm0SEIQUvets6u+HZ9FtdmoRxv2JTWb/Tg9Oo5ZB+PFx2aamipvcujVe+srCzRIQhDq+5qeAsfQ1LbKZvnrTW04m3j4ETQSzPx6TKIOn5B6GxscXTzJmjETPz7RYCNNv6LaaW9/45WvT09PUWHYDKio6P59ttv7/r42uReFdTw1sa3pURiDmxsCPzXW9TxawGAUlKCY0m+8WWvh/vi++i/REUnkVg00dHRKIqCoigUFhaSmppKXFwcw4YNQ6fTqRbH2LFjjYvlAezcuZO5c+eqdn3JDWRCYma2bNkiOgQhaMG70RPDqR9cuspnkeEaR+a9TME373B6zTyUv2Y8+D46GCcv/9tVUyvQQntXhla9s7OzTVLPpk2b8PHxISAggB49erBz507mz5/P999/j62trUmucSeys7OrdDvCVO7WhhreMiExM46OjqJDEEJt97av2wDvR0qXiS4pus6fS9/BkHoKR0dH0vetJ3VX6VYGNnYONBkwAVT8i08Etb29b4VWvU3Vg1FQUEBaWhoXLlwgISGBGTNm0LdvX3r27Gnstahbty6LFy8mLS2NrKwstm/fzv3332+s45133jFueXHq1CmuXr3KV199hYuLi/GYAQMG8Pvvv5OXl0dGRgZbt25Fr9cDFW/ZREdH06VLF8aNG2fsvQkICODEiRNMnDixgvu9995LcXExgYGBJnkvLB01eq3koFYz06VLF/bs2SM6DNWp7d4+nQdhY1+6+eKlPWvI+bN0p+ky7wtbl+LWuhNOHo1wvac1Df7RjcsH425XpVVT29v7Vliqd3DEQuxd3M1Wv42tLSV/W/fk+rVMkhaMrnHdO3fu5NChQ/Tv35+oqCg2bNhAZmYmPXv2JCsri5EjR7J9+3aCgoK4cuUKAE2bNqVfv3489dRTuLm5sXLlSt544w3efPNNfHx8+Oqrr3j99df59ttvcXV1pWPHjpX+wI4dO5agoCD++OMP3n77bQDS09NZsmQJw4YN48MPP8TV1ZXc3FyGDx/O7t27SU5OrrGzNeDq6mr2a8iERCKpInYubni2fwqA4sJ8Un9cddMxSlEhp9fMo8XLswHwfqR/rU5IJJaFvYs7DvWtd/Dl0aNHuf/+++natSutW7fGy8vLOO100qRJ9OvXj3/+8598/vnnANjY2DB06FCuXbsGQGxsLI899hhvvvkmvr6+2Nvbs2bNGuP6Vn/88Uel183OzqawsJC8vLwK25dER0fzn//8hwceeICzZ89iZ2fHc889Z9z4UGIaZEJiZubPny86BCHUZm+fLoOwsS/tqk/ft56ia1eMr5X3zjn5K7lnjlLHvyX6Rs2p4x9M7pkk1eNVg9rc3rfDUr2vX8s07wV0lC72baZr6nQ6FEWhbdu2uLi4cPny5QqvOzs707RpU+O/U1JSjMkIwMWLF/Hy8gLgt99+Y9u2bSQmJrJlyxbi4uL45ptvuHr16l3Hk5qayoYNGxg+fDhjxoyhT58+ODk5sWrVzX+M1FYuXbpk9mvIhMTMhIeHs2TJEtFhqE5t9dbZ2uPxQOnW5SXXC0j9YUWF1//ufenn77jHvyUAng/1qbUJSW1t7zthqd6muHVyOxo0aHBTkmBKgoODOXXqFDY2Nly8eJEuXbrcdEz5hOL69esVXlMUBZu/ptyXlJTQrVs3Hn74Ybp3786///1vpk2bRrt27aq0sN0XX3xBbGws//3vfxk2bBgrVqzAYDBUy88acXNzM/s15KBWM+Pr6ys6BCHUVu96LR/Ezrl0sFzm7z9W6B2Bm70zf9tJUV7p6HT3Nl2w09elNlJb2/tOaNXb3t7ebHV37dqV+++/n9WrV/Prr7/i4+NDUVERf/75Z4VS1YRo7969vPvuu4SGhlJYWMjTTz9d6XGFhYWVzvDZuHEjubm5jBgxgh49elhkImpOzNnmZcgeEjNz/vx50SEIobZ6u4fc2LogM2HHTa//3VspKiTjwGZ8OodjY+eAxwM9SP1xxU3nWTu1tb3vhFa9/94jUV0cHR3x9vbG1tYWb29vnnzySaZMmcL69etZunQpJSUl/Pzzz6xdu5bJkydz7NgxGjZsSM+ePVm7di0HDx684zUefPBBHnvsMeLi4rh06RLt2rXD09OTpKTKeytTUlJo164dTZo04dq1a2RmZqIoCiUlJcTExDBlyhROnjzJvn37TPIeWAumavPbIXtIzMzq1atFhyCE2uht4+hM/VYPA3D92lVyTv560zGVeafvW2987Nams/kCFEhtbO+7QaveZbNbakqPHj1ITU0lJSWFzZs307VrVyIiIujbty8lJaX7QfXs2ZNdu3axZMkSjh8/ztdff01AQECFQae3Izs7m06dOrFx40aOHz/Of//7XyZOnHjLZf8/+OADiouLOXLkCBkZGRU2d42KisLR0VFzvSNguja/E4rWi16vV7Zt26bo9XqT1x0ZGSncT0Spjd7uoY8rYbO2K2Gztiv+/SKq5B0csch4rn09T+Eusr1rj/f48eNVv6aPj49wbxHl4YcfVgoLCxUvLy/hsYho81t91kz1Gyp7SCSSu6TC7ZpDO6t07tXDN9aqqH/vwyaLSSKRmB8HBweaNm3Ke++9x/r161WZcaJFZEJiZnbsuHmcgRaobd42jnrqBoUBUHj1EtdOV76Owa28yyckbvc+YvoABVPb2vtu0ap3Tk6O6BBU5dlnn+XYsWPUq1ePyZMniw5HCGq0uUxIzExRUZHoEIRQ27xdm7bBxrZ0DPjVIz+DolR63K28DamnyL98obSuwDbYOpt/1UM1qW3tfbdo1Vu5xee/tvLll19iZ2dHWFgYFy5cEB2OENRoc5mQmJnu3buLDkEItc27bvO2xsdZxw/c8rjbeZf1kuhsbakX3M50wVkAta297xatetetWzunr98NWnVXw1smJBLJXVDvr9s1JcVF5Pz5W7XquPpHuXEkrTqYJC6JRCKpLciExMwsWrRIdAhCqE3eDm7eOHk2BiD39BFKCvJueeztvK+dPkxRbukiaXWbhdSqHYBrU3tXBa16p6eniw5BGFp1V8NbJiRmplevXqJDEEJt8i5/uyb7ePxtj72tt1JCTnJp74qdvi7Ovk1vfayVUZvauypo1btevXqiQxCGVt3V8JYJiZkpv6iOlqhN3mWzawCyT9w+IbmTd/afCTfqbRZas8AsiNrU3lVBq94ODg6iQxCGVt3V8JYJiZmR3XtWjs6Gus3+AUBRXja5507c9vA7eef8ecj42LVpSM3jsxBqTXtXEa16i55d1LlzZxRFEdJbIdq9Mt555x0SEhLufOBtaNKkCYqi0KZNm0pfV8NbJiRmJjY2VnQIQqgt3vqGTbHTl07RzT55CJSS2x5/J+/8tNNczyldgtn1ntZgUzv+C9aW9q4qWvWu6U6/0dHRKIqCoigUFhby559/Mnv2bPR6/V2dv3fvXnx8fMjKyqrSNb/99tvqhmzEnLscWzJqeNeOb0MLZsKECaJDEEJt8a7TpJXx8bVTv9/x+LvxLuslsXWqQ51GQdUPzoKoLe1dVWqTt16vp2HDhnfVNe/t7V3j623atAkfHx8CAwN58803GT16NB988MFdnXv9+vW73svG1JjC3RpRw1smJBLJbXBpcq/x8bWUyldnrSrZtfS2jcQ6CQgIIPab71i5fR8zln3Pd7sP8skXMWa/HVJQUEBaWhrnzp3jq6++4n//+x/9+vUDSscrzJ8/n7S0NAwGA7t37yYs7MZYrr/fsnnhhRe4cuUK3bt358iRI+Tk5BgTHii9pTF06FD69etn7Jnp3Lkz9vb2fPTRR1y4cAGDwcCpU6d44403bhlz586d2bhxI9euXePKlSv89NNPxnFEgYGBrF27ltTUVHJycti/fz+PPfZYhfNPnTpFZGQkX375JTk5OaSkpNCnTx88PDxYu3YtOTk5/P7777Rte2MgfZlb3759OXbsGAaDgbi4OPz8/G77/g4dOpQjR45gMBhISkpi1KhRFV5/4IEH+PXXXzEYDBw4cIDQUPFj2mRCYmZ2794tOgQh1BZvl4D7ACguNGC4mHzH4+/GO6fcwNbakpDUlvauKtbu7e/vT8zqDazIaMC7u9P5KP4Kb/54iZ/tWvLNxm24uLhUet61a9dMHovBYMDe3h6AWbNmMWDAAF544QX+8Y9/cPLkSbZs2YKbm9stz9fr9bz22msMGTKETp064e/vb+xx+eCDD1ixYoUxSfHx8WHv3r1ERETQp08fwsPDadGiBc899xwpKSmV1m9ra8vatWvZtWsX999/Pw899BCfffaZcQVTFxcXNm7cyOOPP05oaChbtmxh/fr1NG7cuEI948ePZ8+ePYSGhrJhwwZiY2NZunQpy5YtM7ouXbr0JrfIyEheeOEFOnToQN26dfn6669v+V6MGDGCadOmERkZSXBwMFOnTuW9997j+eefN9b3/fffc+zYMdq2bcu77757x94pc7T537Ez+xU0TnZ2tugQhFAbvO3reeDoVtpNmXv2GEpJ8R3PuRvvgozzFF5Nx6G+Z2nCo7O549gUS6c2tHd1sHbv/8yex9z4q6Rm51d4/uilXNY512dUxHhmT3/vpvOKi+/8f6EqPPDAAwwePJjt27ej1+sZNWoUQ4cOZfPmzQC89NJLdOvWjRdffPGWP5wODg688sorJCeX/uHw8ccf8/bbbwOQm5uLwWDA0dGxwq0ef39/Tpw4wU8//QTAmTNnbhlj3bp1qV+/Phs2bDBe4+jRo8bXf//9d37//cZt3bfeeounn36aPn368Mknnxif37hxI5999hkA//nPfxg9ejQHDhzgm2++AWDmzJns27cPb29vY6wODg68+uqr7N+/HyjtNTl69CgPPPAABw7cvHL0W2+9xcSJE41jZlJSUmjVqhUjR45k6dKl/Otf/8LW1pbhw4djMBg4cuQIfn5+fPrpp7f0N3WbV4bsITEzWl2noDZ4u/iXGz9yl7dr7tb72unDANg6OuPsHVDl2CyN2tDe1cGave3t7fEJaM75rPxKX//l9FUe7dmn0tdMcTvnqaeeIicnB4PBwM8//8yuXbv497//TdOmTXFwcGDPnhsrGxcVFbF//36Cg4NvWV9ubq4xUQC4ePEiXl5et40hJiaGkJAQjh07xvz58+nWrdstj71y5QrR0dF89913fPfdd0RERBhvCUFpr8PMmTM5fPgwV65cIScnh5YtW940Nbx80lKWcCQmJt70XPnYr1+/Tnz8jSUHjh07xpUrVyp9Pzw8PPD39ycqKoqcnBxjefPNN2natHTto+DgYH777TcMBoPxvJ9//vm275Vch0QiEUjZ7RqA3L8SCFOReybJ+Lj8wFmJRC3q1KnD1fxb/9WrAMVm/InYuXMnISEhtGjRAicnJwYMGEB6ejq6v1Yw/vtmbjqd7rYbvF2/fr3CvxVFweYOs9gSEhK45557eOutt3B2dmblypWsWrXqlscPHz6c3r17s3fvXgYNGsTx48dp1650X6rZs2czYMAAIiMj6dixIyEhISQmJt40SPjvcf79uTLHv8demXtlz5Wd99JLLxESEmIs9913H+3btwcwvseWhkxIzMznn38uOgQh1AbvCgNaTyfd5sgb3K33tdNHblzH/9Z/9VkLtaG9q4M1e2dnZ9PA6dY/AY52NiiFlfeeZGRk1Pj6ubm5/Pnnn5w5c6bCGhcnT56koKCARx55xPhc2U67SUl39/+wMgoLC7G1tb3p+ZycHFauXMnLL7/MoEGD+Oc//3nbsSo//PAD77//Ph06dOCPP/5g8ODBAHTs2JGYmBjWrl3LH3/8QWpqKgEBAdWOtzz29vYVBvUGBQXh5uZW4ZZRGZcuXeLcuXMEBgby559/Vihl42OOHDlCmzZtcHJyMp5XlqzcClO0+Z2QCYmZ6dq1q+gQhGDt3jb2jjg3agaAITWFYkPOXZ13t955F05QUlT6V1Ft6CGx9vauLtbsXVJSQvxPO/lHI9dKX+/Vwo2voz+r9DVX18rPMQV5eXksWrSI2bNn88QTTxAcHMznn3+OXq8nKiqq2vWmpKRw//33ExQURIMGDbCzs2PcuHEMGjSIFi1a0Lx5cwYOHMjFixe5evXqTecHBAQwffp0Hn30Ufz9/enWrRtBQUHGJOnkyZP079+fNm3acP/997N8+fI79tDcLYWFhXz00Uc8+OCDhIaGEh0dzc8//1zp+BGAd999lylTphAREUHz5s257777GDp0KOPHjwdg+fLllJSUEBUVRXBwMD169OC11167bQzmbPMy5KBWM9OsWTPRIQjB2r31jYKwsS3973GtCrdr7tZbKbpO3vkTuDRphbOXP7bOrned9Fgi1t7e1cXavf/z5ht8s2Erbs5u/PDnVYoVBSd7G3q3cMPzynEily2t9DxHR0ezxvXGG29gY2NDbGwsrq6uxMfH88QTT1SaKNwtn3/+OV26dCE+Ph5XV1e6dOnCtWvXmDx5Ms2bN6e4uJgDBw7Qs2fPSm+F5OXl0bJlS4YNG4abmxsXL17k448/ZvHixUDp7JklS5awd+9eMjIymDlzJnXr1q12vH+/9syZM1m+fDl+fn789NNPDB8+/JbHR0VFkZeXx6RJk5g1axa5ubkkJiYyb948oLR3qnfv3nz66ackJCRw5MgRJk+ezJo1a25Zp7nbvAxF60Wv1yvbtm1T9Hq9yesePXq0cD8Rxdq9vTsOUMJmbVfCZm1XPB7saRbvxr1HG69RN+gB4c5abm9r9h4/fnyNznd0dFRGjvm3svHHfcr3uw8o67btUgYOekbR6XS3PMfT01O4t6iitvsLL7ygXLlyxSK8b/VZM9VvqOwhMTNl2bPWsHZvfbkVVHPPHb/r86rife1MEmVrH7o0aUX28cq7X60Ba2/v6lIbvAsKClj8yUcs/uSjuz5Hq3v4gHbd1fCWY0jMzO1W/avNWLu3vlFzAEqKCslPS7nr86riXX7mTh0rH9hq7e1dXbTqXX66q9bQqrsa3jIhkUj+ho2jM06epasrGi4moxSbZ5fLwquXKMwu3bCqjn8wWOhUPIlEIo4vv/zytrN+ahMyITEz+/btEx2CEKzZW9+wGbq/Rsfnnj9RpXOr6p17pnTanp2zC44NGlbpXEvCmtu7JmjVOzc3V3QIwtCquxreMiExM6mpqaJDEII1e9fxuzF+JK8K40eg6t5552/Ur7finX+tub1rgla9K1vcSyto1V0Nb5mQmJmy3Su1hjV7l08M8qrYQ1JV7/L11/lr3Io1Ys3tXRMswVvEqpv169dX/ZqWglbd69evb/bPmkxIJJK/UX5AqyH1lFmvVX4Gj96KExKJOEpKSqhTp47oMCS1nMpWuTU1MiExMzExMaJDEIK1elcY0Jp6qsoDWqvqXXTtCoXZpUsyW3NCYq3tXVMswfvbb79lzJgxqiYlly9fVu1aloZW3R955JEKGx6aA7kOiZlp167dbVe/q61Yq7fe98aA1rxzVbtdA9Xzzjt3AodWHtjpXXFw96Uw82KVrysaa23vmmIJ3qdPn2bFihWMGDECW1vb225AZyq8vLy4dOmS2a9jiWjRXafT4eLiwooVK8x6HZmQmJnbbZddm7FWb32jG0uBV3WGDVTPO+/8Ceq3eggoHUdijQmJtbZ3TbEU79OnTzN//nzVrhcZGcncuXNVu54loVX3yMhIs19D3rIxM3KKmHXh7BtofGy4cLLK51fHO/e89Y8jsdb2rinSW3to1V0Nbx2la8hrGr1ez3fffUefPn3Iy8sTHY5EIMGvfkId/5YoJSUkvN2bkltsv25K7Ot50CaytCs069gBTkRpc/VPiURinZjqN1T2kJiZqVOnig5BCFbprbPByScAgILMC9VKRqrjfT0rg+s5VwDQ+1nnWiRW2d4mQHprD626q+FtEQnJqFGjSE5OxmAwEB8fzyOPPHLLY59++mni4uK4dOkSWVlZ7N27l+7du990XP/+/Tl8+DD5+fkcPoJjaYMAACAASURBVHxY2HoBItYIsASs0duxQUNsHZyA0iXjq0N1vcvWI7GvUw+H+l7VqkMk1tjepkB6aw+tuqvhLTwhCQ8PZ968eUybNo3Q0FB2797Npk2baNy4caXHd+rUia1bt9KzZ0/atm3Lzp07Wb9+PSEhIcZj2rdvz4oVK4iNjaVNmzbExsaycuVKHnzwQbW0jBw8eFD1a1oC1uitLzd+JK+aCUl1vfPKjVdx9m1arTpEYo3tbQqkt/bQqrta3orIsm/fPmXhwoUVnjty5Igyffr0u67jjz/+UN566y3jv7/++mtl48aNFY7ZtGmTsnz58krP1+v1yrZt2xS9Xm9yv6CgIKHvr6hijd4Nuw9VwmZtV8JmbVfq39tBVW+3Nl2M1/Z9dLDw90IL7S29pbd0N423qX5DhfaQ2Nvb07ZtW+Li4io8HxcXx8MPP3xXdeh0OlxdXcnMzDQ+99BDD91U55YtW+5Yp4uLC66ursbi4OBwlya3ZuDAgTWuwxqxRm9nn5r3kFTXu/wtImvsIbHG9jYF0lt7aNVdDW+h65B4eHhgZ2dHWlpahefT0tLw8fG5qzomTpxInTp1WLlypfE5Hx+fatV5/vx57OxuvCU7duwgJiaGDRs2MGrUKKA0WbKzs+PRRx8FYMGCBQwYMIBGjRpx8eJFVq5cydixYwH44YcfqF+/vnH+9qeffsqTTz5JQEAAGRkZREdHM2nSJAD27NlDZmYmvXv3BiAqKopOnTrRvHlzsrKyWLhwIVOmTAFg//79nDt3jv79+wOwdOlSwsLCaNWqFQaDgTlz5jBlyhRsbGxISEjg+PHjDBo0CICvvvqK4OBgQkJCKCoqYubMmUycOBEnJycOHz5MQkICzz33HACrV6+mSZMmhIWFATBt2jQiIiJwdXXl2LFj7Nmzh+HDhwOwbt06PD09jUmfTqdj1KhRuLu7k5yczNatWxk5ciQAmzZtQq/X07lzZwDmzp3L4MGD8fb25ty5c6xbt44xY8YAsG3bNgAef/xxAD755BP69u2Ln58faWlpLF++nPHjxwPw448/kpeXR48ePQBYvHgx3bp1IzAwkMzMTL744gtef/11APbu3Ut6ejp9+/YFYMmSJXg2b00RYFNSROGVVGO7xcfHc/r0aQYMGADAsmXLCA0N5d577yU/P58PP/yQyZMnY2dnh7e3N4GBgTz77LMArFixgqCgIEJDQykpKWHGjBlMmDABZ2dnjhw5Qnx8PM8//zwl6IgrKkRn54DffQ/wbGQkM2bMYPTo0dSrV48TJ06wa9cuXnzxRQDWr1+Pu7s7HTp0AGD27NkMGzYMDw8PUlJS2Lx5M6+88gpQmow7OjrSpUsXAObPn094eDi+vr6cP3+e1atXExERYfzMFxUVGcdlLVq0iF69euHv7096ejqxsbFMmDABgN27d5OdnU2vXr0ICgrCy8uLrl270qxZM65cucLixYt5443SGUP79u0jNTXVOJYrJiaGdu3aERwcTG5uLvPmzWPq1KnodDoOHjxIcnKy8Qtw+fLltG7dmtatW1NYWMjs2bOZNGkSDg4OJCYmkpiYyODBgwFYtWoVgYGBtG3bFkVRmD59OuPGjaNOnTokJSXxyy+/MHToUADWrl2Lj48P7du3B+D9999n5MiRuLm5cfLkSXbu3MlLL70EwIYNG6hbty4dO3YEYM6cOQwZMoSgoCCGDBlSo++IgoICnnjiCav6jggKCiIyMrJG3xGzZs1ixIgRVvUd0aFDB4KCgoiIiGDBggXV+o44dOgQSUlJVf6OAFizZg1+fn7G4QdqfkeUtXll3xGmHKMprAvI19dXURRFad++fYXnp06dqiQlJd3x/GeeeUa5du2a8thjj1V4vqCgQHnmmWcqPDd48GDFYDDctrvJy8tLcXV1NRYHB4caO95zzz3Cu9pEFGvztnWqY7xl0nL0AiHewRELlbBZ25W2729VbOwdhb8ntbm9pbf0lu6m864Vt2wyMjIoKiq6qefCy8vrph6OvxMeHk5UVBTh4eFs3769wmupqanVqvPatWvk5OQYS2FhYRVsKqd169Y1rsMasTZvZ+8A4+O81OrdroGaeeddKL2uzsYGZ5+A2x9sYVhbe5sK6a09tOquhrfQhOT69escPHiQbt26VXi+W7du7N2795bnPfPMM8TExDB48GA2btx40+s///zzTXV27979tnWaC/nhtQ4qrNBazfEjUDNvw8U/y8VjXeNIrK29TYX01h5adVfDW/heNnPmzCE2Npb4+Hh+/vlnXn75Zfz9/fn0008BmD59Oo0aNeKFF14ASpORpUuXMnbsWPbt24e3tzcABoOB7OxsoPT+165du3j99ddZt24dffv25fHHH7/t+ibmwhS9LNaItXmX7yExXDxV7Xpq4l1xYGvgbY60PKytvU2F9NYeWnVXy1v4valRo0Ypp06dUvLz85X4+HilY8eOxteio6OVnTt3Gv+9c+dOpTKio6Mr1DlgwAAlKSlJKSgoUI4cOaI8/fTTZr//JYv1lqCXPzCOIbHV1xUSg62zizGGFq/MFf6eyCKLLLLcTTHhb6h4GdHFnAnJpEmThPuJKNbm3eatVUrYrO1Km7e+EerdespyJWzWdiXk/9YJf09qc3tLb+kt3U3nXSsGtWoBU6xlYo1Yk7etsyv2ru4A5F86XaO6auptSD0FgJ2zi1UtIW9N7W1KpLf20Kq7Gt4yITEziYmJokMQgjV5O3v5Gx8b0mqWkNTU23DBOge2WlN7mxLprT206q6Gt0xIzIz88Fo+Tt5NjI8NNewhqXFCknbK+Ni5XFyWjjW1tymR3tpDq+4yIakFlK0gqTWsydvJ68YPf/6lMzWqq6behtQbCZGzzz01qktNrKm9TYn01h5adVfDWyYkEs3j7H3jlk1+DW/Z1JT89LMoxcWAdfWQSCQSSU2RCYmZWbVqlegQhGBN3mU9JEWGa1zPybzD0benpt5K8XXyM87diEtnHf9Fram9TYn01h5adVfD2zq+7ayYwEDrWuDKVFiLt42jM45upYvrmaJ3xBTeZQNrbewdcGzQsMb1qYG1tLepkd7aQ6vuanjLhMTMtG3bVnQIQrAWbyfPcjNsajigFUzjnZ+WYnxsLbdtrKW9TY301h5adVfDWyYkZkZRFNEhCMFavMtP+a3pgFYwjXfZWiRQcUl7S8Za2tvUSG/toVV3Nbx1lK6Qpmn0ej3fffcdffr0IS8vT3Q4EhVp1GMEvl2fBeB41BSyj+0XHFHp2JH7XlsCQOahnSQv/6/giCQSieTWmOo3VPaQmJlx48aJDkEI1uLtVKGHpOa3bEzhXZBxjpKi60DFNVIsGWtpb1MjvbWHVt3V8JYJiZmpU6eO6BCEYC3eZWM0igsNFF69VOP6TOGtlBSTn34WACfPxuhsbGtcp7mxlvY2NdJbe2jVXQ1vmZCYmaSkJNEhCMEavHV29ji6+wJ/jR8xwT1SU3mXzfixsbPH0cPPJHWaE2tob3MgvbWHVt3V8JYJiZn55ZdfRIcgBGvwdvK40fuQn1bzAa1gOu+KA1st/7aNNbS3OZDe2kOr7mp4y4TEzAwdOlR0CEKwBm9T7mFThqm8DeWn/voEmKROc2IN7W0OpLf20Kq7Gt4yIZFolvI9D6aY8mtKyu867ORtPXvaSCQSSXWRCYmZWbt2regQhGAN3uVn2BhMtIeNqbwLLl+g5HohYB23bKyhvc2B9NYeWnVXw1smJGbGx8dHdAhCsAZv57/2sCkpKqQg84JJ6jSZt1JinIbs5OGHztbeNPWaCWtob3MgvbWHVt3V8JYJiZlp37696BCEYOneOhtbHD0aAZCffg5KSkxSrym9y3ptdLa2OHk2Nlm95sDS29tcSG/toVV3NbxlQiLRJI4NGmJjV9rrYIoF0cxBhZk2PpZ/20YikUhqglw6HvMuHW9ra0txcbFJ67QGLN27/n2P0Oz5/wPgwtYvubB1qUnqNaV3veCHaD6sdNn4C9uXcWFLtEnqNQeW3t7mQnprD626385bLh1vJYwcOVJ0CEKwdG9nMwxoBdN6V5j6a+EzbSy9vc2F9NYeWnVXw1smJGbGzc1NdAhCsHTvCmuQmDAhMaV34ZVUigsNgOXfsrH09jYX0lt7aNVdDW+ZkJiZkydPig5BCJbu7eRZ2kOilBRTkHHeZPWa1FtRjEvIO7o3RGfnYLq6TYylt7e5kN7aQ6vuanjLhMTM7Ny5U3QIQrB0byfP0v1hCjJTUYqvm6xeU3sbZ9rY2Fj0eiSW3t7mQnprD626q+EtExIz89JLL4kOQQiW7G1f1wNbRz2AcVddU2Fq7/IzbZwsOCGx5PY2J9Jbe2jVXQ1vmZBINEdZ7whAQcY5gZHcmfLjWyx9YKtEIpHUBJmQmJkNGzaIDkEIluxdPiExdQ+Jqb3zK8y08b/1gYKx5PY2J9Jbe2jVXQ1vmZCYmbp164oOQQiW7F1+1dP8dNP2kJjau/DqJYoLSuf1O3lZ7i0bS25vcyK9tYdW3dXwlgmJmenYsaPoEIRgyd4VExLT9pCYwzs/rXQnYkd3X2zsHU1evymw5PY2J9Jbe2jVXQ1vmZBINIfjXwlJcUEe17MvC47mzhgu3Zhp42jhe9pIJBJJTVC0XvR6vbJt2zZFr9ebvG5nZ2fhfiKKpXrrbO2Vtu/HKWGztivBEYuswtu7c7gSNmu7EjZru+Ie+pjw99Ca2lt6S2/pbn5vU/2Gyh4SMzNkyBDRIQjBUr0dGzREZ2MLmP52DZjHO7/8TBsLHUdiqe1tbqS39tCquxreMiExM56enqJDEIKleptzhg2Yx7v81F8n7wCT128KLLW9zY301h5adVfDWyYkZubMmTOiQxCCpXqbc4YNmMe78GoaxYX5ABa7Wqultre5kd7aQ6vuanjLhMTMyDnrlkX5hMQci6KZxVtRyL/010ybBr7o7OxNf40aYqntbW6kt/bQqrtch6QWMGrUKNEhCMFSvc19y8Zc3oa/FkjT2dji5GF5M20stb3NjfTWHlp1V8NbJiQSTVE2bbbwajolf90GsQbyK4wjsczbNhKJRFITZEJiZuLi4kSHIARL9LbV18W+Tj3APL0jYD7vsrVIwDLHkVhie6uB9NYeWnVXw1smJGbGzs5OdAhCsETvCrdrzLSpnrm8K0z9tcCExBLbWw2kt/bQqrsa3jIhMTOPPvqo6BCEYIne5cdemKuHxFzeBZmplFwvACxzTxtLbG81kN7aQ6vuanjLhESiGSoOaDVPD4nZUEqMM22cPPzQ2WrzrzSJRFJ7kQmJmVmwYIHoEIRgid7m3FSvDHN6G/e0sbXF0cPvDkeriyW2txpIb+2hVXc1vGVCYmYGDBggOgQhWKJ3WUJSUlRI4ZU0s1zDnN6WPI7EEttbDaS39tCquxreMiExM40aNRIdghAszltng6NHQwAKMi6AUmKWy5jT22DBCYnFtbdKSG/toVV3NbwtIiEZNWoUycnJGAwG4uPjeeSRR255rI+PD//73/84evQoxcXFzJ0796ZjXnjhBRRFuak4OjqaU6NSLl68qPo1LQFL83Zw88bGzgEw3+0aMK93+am/ljaw1dLaWy2kt/bQqrsa3sITkvDwcObNm8e0adMIDQ1l9+7dbNq0icaNK1+N0tHRkfT0dKZNm8Zvv/12y3qzsrLw8fGpUAoKCsylcUtWrlyp+jUtAUvzVmP8CJjXu+DyBUqKCgHL6yGxtPZWC+mtPbTqroa38IRkwoQJREVFERUVxdGjRxk/fjxnz5695TK1p0+fZty4ccTGxpKVlXXLehVFIS0trUIRwdixY4VcVzSW5q3WDBuzepeUGGN39PBDZ2NrvmtVEUtrb7WQ3tpDq+5qeAtNSOzt7Wnbtu1NK8DFxcXx8MMP16huFxcXUlJSOHv2LOvXryckJOSuznF1dTUWBweHGsUgsRwq9JBkmK+HxNyUDWy1sbPH0UOb97IlEkntROhiBh4eHtjZ2d3Ue5GWloaPj0+16z169ChDhw4lMTGRunXrMnbsWPbs2UObNm04efLkLc87f/58hdXoduzYQUxMDBs2bDD22MTFxWFnZ2dcJGbBggUMGDCARo0acfHiRVauXGnMJH/44QfOnDlDZGQkAJ9++ilPPvkkAQEBZGRkEB0dzaRJkwDYs2cPmZmZ9O7dG4CoqCg6depE8+bNycrKYuHChUyZMgWA/fv3c+7cOfr37w/A0qVLCQsLo1WrVhgMBubMmcOUKVOwsbEhISGB48ePM2jQIAC++uorgoODCQkJoaioiJkzZzJx4kScnJw4fPgwCQkJPPfccwCsXr2aJk2aEBYWBsC0adOIiIjA1dWVY8eOsWfPHoYPHw7AunXr8PT0NCaSu3fvZtSoUbi7u5OcnMzWrVsZOXIkAJs2bUKv19O5c2cA5s6dy+DBg/H29ubcuXOsW7eOMWPGALBt2zYAHn/8cQA++eQT+vbti5+fH2lpaSxfvpzx48cD8OOPP5KXl0ePHj0AWLx4Md26dSMwMJC9DveR81e7jh4ykPg9u0hPT6dv374ALFmyhA4dOtCiRQtycnJYsGCBsd3i4+M5ffq0cZT5smXLCA0N5d577yU/P58PP/yQyZMnY2dnR3Z2NoGBgTz77LMArFixgqCgIEJDQykpKWHGjBlMmDABZ2dnjhw5Qnx8PM8//zwAa9aswc/PjwcffBCAGTNmMHr0aOrVq8eJEyfYtWsXD7Rswp9/eYQ92pPOTRsAMHv2bIYNG4aHhwcpKSls3ryZV155BYAtW7bg6OhIly5dAJg/fz7h4eH4+vpy/vx5Vq9eTUREhPEzX1RURPfu3QFYtGgRvXr1wt/fn/T0dGJjY5kwYYKxjbOzs+nVqxfu7u54eXnRtWtXmjVrxpUrV1i8eDFvvPEGAPv27SM1NZV+/foBEBMTQ7t27QgODiY3N5d58+YxdepUdDodBw8eJDk5mYEDBwKwfPlyWrduTevWrSksLGT27NlMmjQJBwcHEhMTSUxMZPDgwQCsWrWKwMBA2rZti6IoTJ8+nXHjxlGnTh2SkpL45ZdfGDp0KABr167Fx8eH9u3bA/D+++8zcuRI3NzcOHnyJDt37uSll14CSnc6rVu3Lh07dgRgzpw5DBkyBHd3d4YMGVKj74iCggKeeOIJwHq+I9zd3YmMjKzRd8SsWbMYMWKExXxHZGZm8sUXX/D6668DsHfv3kq/I9zd3YmIiKj2d8ShQ4dISkoy23fEiy++CMD69etxd3enQ4cOJvmOKGvzyr4jyv5fmwJFVPH19VUURVHat29f4fmpU6cqSUlJdzx/586dyty5c+94nE6nUxISEpT58+dX+rper1e2bdumeHl5Ka6ursbi4OBQY8ewsDBh76/IYmne90/9WgmbtV1p884aq/auf19HJWzWdiVs1nbF97HnhL+vltre0lt6S3f1vMt+Q/V6fY2uIfSWTUZGBkVFRTf1hnh5eZl0zIeiKBw4cIDmzZvf9rhr166Rk5NjLIWFhTW+dtlfPlrDkrxtHJxwqO8JQIEZB7SC+b3zK2yyF2DWa1UFS2pvNZHe2kOr7mp4C01Irl+/zsGDB+nWrVuF57t168bevXtNeq2QkBDNTtfSOhVn2FjZkvF/oyDjPCXFRQA4WdhMG4lEIqkp1epasbe3N0k3UHh4uFJQUKAMGzZMadmypTJnzhwlJydH8ff3VwBl+vTpypdfflnhnDZt2iht2rRRDhw4oCxbtkxp06aNEhwcbHz97bffVrp3767cc889Sps2bZSoqCilsLBQeeCBB8za3VRZadCggfCuNhHFkrzd2nQ13ubw6fKM1XvfOyFKCZu1XfnH9E0KNjbC319La2/pLb2lu7rewm/ZnD9/nunTp99yvZC7ZeXKlYwbN463336bQ4cO0alTJ3r27MmZM6Ubifn6+uLv71/hnEOHDnHo0CHCwsL417/+xaFDh9i4caPx9fr16/PZZ5+RlJREXFwcjRo1olOnThw4cKBGsVaHJ598UvVrWgKW5F1xyq95b9mo4V22QJqNnQOO7g3Nfr27wZLaW02kt/bQqrsa3tWeZbN+/XoiIiJ47bXX+P777/n444/ZsWNHtepatGgRixYtqvS1YcOG3fScTqe7bX0TJkwwzgQQTUBAgOgQhGBJ3mreslHDOz8tBegMlC6QVpAh/jaUJbW3mkhv7aFVdzW8q91D8uKLL+Ln50dkZCRt2rQhLi6OI0eOMGbMGFxcXEwZo1WTkZEhOgQhWJJ3WUKilBRTcPmCWa+lhrcl7mljSe2tJtJbe2jVXS1vk9xf6t27t7JlyxalqKhIycrKUj766COlRYsWwu973U0x5xgSU0wdtsZiSd6h761XwmZtV+6bHFsrvJ28A4xjYu55dorw99fS2lt6S2/prq638DEkf2f9+vVMnjyZH3/8ERcXF0aPHs3hw4f55ptv8PT0NNVlrI6yRY20hqV429dtgK2jHjD/lF9Qx7sg4zxKcTEAzhayyZ6ltLfaSG/toVV3NbxrnJDY2tryzDPPsHv3buLj4wkMDGTy5MkEBAQwbtw4OnbsyNKlS00Rq0RSZdTaVE9NlOLr5F8+D4CTlz/ohG9JJZFIJDWm2oNaGzZsyMiRI3nppZfw9vZm9+7dhIeH8+2336IoCgAff/wx58+fZ9myZSYL2NrYs2eP6BCEYCneas6wAfW889NScPbyx8beEUd3H7OPjbkTltLeaiO9tYdW3dXwrnZCkpKSQlFREV9//TXz58/nt99+q/S45ORkYTvtWgKZmZmiQxCCpXg7eqi7KJpa3oa007i1Ln3s5N1EeEJiKe2tNtJbe2jVXQ3vavf1/t///R/+/v4MHz78lskIwG+//UZgYGB1L2P1lG2EpTUsxbtiD4n5ExK1vCssIW8B40gspb3VRnprD626q+Fd7YTkzJkzlJSUVPqam5sbQ4YMqXZQEompKBtDUlyQx/Xs2jNdr/zUX7mEvEQiqQ1UOyGJjo6madOmlb52zz33EB0dXe2gahNRUVGiQxCCJXjrbO1xdC/duFGtPWzU8s5PP4tS8tdMGwvYZM8S2lsE0lt7aNVdDe9qJyS3Wy3VycmJ4r+mJWqdTp06iQ5BCJbg7digITobWwDyVVrNVC1vpeg6BZdLN4t09m4ifKaNJbS3CKS39tCquxreVRrU2rhx4wrLx4aGhuLk5FThGGdnZ15++WXjXjRap3nz5qJDEIIleFcYP3JJnc+jmt6G1GScPP1KZ9o0aCh0CXlLaG8RSG/toVV3NbyrlJAMGzaMd955B0VRUBSFhQsX3nRMWc/J2LFjTROhlZOVlSU6BCFYgreT141NGdVag0RNb0PqKdxal/7V4uxzj9CExBLaWwTSW3to1V0Nbx2lS7beFS1btqRVq1bodDpWrlzJ1KlTOXHiRIVjCgoK+OOPPzh9+vQtarE89Ho93333HX369CEvL8+kddvY2Nxy8G9txhK8A8JfxyPsCQAOz30Zw8U/zX5NNb3r39eRZs+/C8CFrV9yYau4BQgtob1FIL21h1bdb+dtqt/QKt14Pnr0KGvWrGH16tUMGzaMzz//nDVr1lQoGzZssKpkxNxMmTJFdAhCsATv8qu0qtV7oKa3IfWU8bGzzz2qXbcyLKG9RSC9tYdW3dXwrvbCaHI5eImlU5aQFFxJo+R6geBoTE/B5QsUF+Zj6+CEs4921/qRSCS1gyolJG+99RZffPEFFy9e5K233rrtsYqi8N///rdGwdUG9u/fLzoEIYj2tqtTHzu9K6DuHjaqeisl5KelUKdxSxwbNMTG3omS6/nqXb8cottbFNJbe2jVXQ3vKiUk7777Lps3b+bixYu8++67tz1WJiSlnDsnbqChSER7O3mVWzJepRk2oL63IfUUdRq3RGdjg5N3E/LOHVP1+mWIbm9RSG/toVV3NbyrNIbE1taWAwcOGB/frtjZVftuUK2if//+okMQgmjvirv8qvcFora3pYwjEd3eopDe2kOr7mp4y33LJbWSilN+a++aOHkXbyQkel+xA1slEomkJlQ7IXF0dMTV1bXCcwMHDmTGjBk89thjNQ6stqDVwb+ivSv2kKg3hkRtb0vpIRHd3qKQ3tpDq+5qeFc7IYmNjWXBggXGf//73//m66+/5vXXX2fLli306NHDJAFaO2FhYaJDEIJo7xub6hm4nqXepnpqexddu8L1a1cAhM60Ed3eopDe2kOr7mp4VzshefDBB9m8ebPx3xERESxbtoz69euzZs0aXnvtNZMEaO20atVKdAhCEOldcVM99XpHQIy34a/bNvaubtjVqa/69UF+zrWGVr1Bu+5qeFc7IfH09OT8+fMABAQEEBgYyEcffUROTg5RUVHcd999JgvSmjEYDKJDEIJIb0ePcpvqqTx+RIS3ITXZ+NhZ0DgS+TnXFlr1Bu26q+WtVKekp6crvXr1UgBlyJAhSlZWlvG1zp07K7m5udWqV0TR6/XKtm3bFL1eLzwWWWpe6t/3iBI2a7sSNmu74vv4EOHxmLs0CHvS6OvdcYDweGSRRRZtFVP9hla7hyQxMZExY8Zw3333MXr0aHbu3Gl8zd/fn9TU1OpWXauQywyrj5NnuRk2Kq5BAmK8LWFgq/ycawuteoN23S166fj33nuP77//nkOHDlFYWMjjjz9ufK1Xr178+uuvJgnQ2rGx0ebMapHeombYgBjv/LQUlJISdDY2whIS+TnXFlr1Bu26q+Fd7YRk586dBAcH07ZtWw4dOsSpUzf+StuxYweHDh0ySYDWTkJCgugQhCDSu2yVVqWkhIKM86peW4R3yfUCCjIv4OThh5N3AOhsQFF3N1L5OdcWWvUG7bqr4V2j5VTPnDnDmTM3d4l/9tlnNam2VnH8+HHRIQhBpHdZD0nh1Uuqb6onyttw8RROHn7YOjjh2MBX9URMfs61hVa9QbvuanjXaTNujQAAIABJREFUuA/G09OTsLAwOnbseFORwKBBg0SHIARR3nYubtg5uwBiVmgV5V1hpo2A2zbyc64ttOoN2nVXw7vaPSQ+Pj7ExsbStWvXm17T6XQoiiL3s5GoToVN9VTcw0Y05ZeQd/a5h6t//CQwGolEIqk61c4YPv74Y0JDQ5k8eTK///47BQXqdo1bC1999ZXoEIQgyrvCgFaVZ9iAOO+KM23UX7FVfs61hVa9QbvuanhXOyHp3Lkzr732GjExMSYMp/YRHBxMcnLynQ+sZYjyrjDlV+UZNiDOu+DyBYoL87F1cELvq35CIj/n2kKr3qBddzW8qz2GRFEUzp5V/wvf2ggJCREdghBEeTt5+hkfi0hIhLW3UkL+pdMAODZoiI29o6qXl59zbaFVb9Cuuxre1U5IVq1axVNPPWXKWGolRUVFokMQgihvJ6/SHpLigjyuZ19W/foi29twsfSvl9L1SAJUvbb8nGsLrXqDdt3V8NZRumRrlencuTOff/45mzZtYv369Vy+fPOXv7XM19br9Xz33Xf06dOHvLw80eFIqonOzp5//HcDOhtbcs8dI2nBaNEhqYpXh6fx7/sqACmr55Lxy/eCI5JIJFrAVL+h1e4h2bFjB02bNuXVV19l8+bNHDhwwFji4+M5cOBAtYOqTUycOFF0CEIQ4e3YoNGNTfUuibmdKLK9886fND7WN2qm6rXl51xbaNUbtOuuhne1B7UOGzbMlHHUWpycnESHIAQR3iKXjDfGILC98y7+aXysb6huQiI/59pCq96gXXc1vKudkCxdutSUcdRaDh8+LDoEIYjwdvZuYnwsYsoviG3vkoI88tPP4eTpVzrTxsYGStRZQl5+zrWFVr1Bu+5qeJtkt5ygoCAefvhh9Hq9KaqrVVjLOBpTI8Lb2TvA+NiQlqL69UF8e+ddOAGAjb1jhR4jcyPaWxTSW3to1V0N7xolJEOGDOHs2bMcOXKEXbt20aJFCwBWrFjBiBEjTBKgtfPcc8+JDkEIIryd/uohKSm6rvpeLmWIbu8K40gaNlftuqK9RSG9tYdW3dXwrnZC8s9//pOYmBh+/fVXXn31VXQ6nfG1X3/9lfDwcJMEKJHcFTY2xjVICjLOoZQUCw5IDHkXxA1slUgkkppQ7YRkypQpREdH07dv35t2901KSqJVq1Y1Dq42sHr1atEhCEFtb8cGDbGxcwDAkHZa1WuXR3R7V+whUS8hEe0tCumtPbTqroZ3tROS4OBgvv7660pfy8zMpEGDBtUOqjbRpEmTOx9UC1Hb2xLGj4D49i7KvUphVgagbkIi2lsU0lt7aNVdDe9qJyR5eXnUq1ev0tcaNWrElStXqh1UbSIsLEx0CEJQ29vZq9wMG4E9JJbQ3mW3bez0rji4eatyTUvwFoH01h5adVfDu9oJyZ49e3j11VcrfW3o0KH88MMP1a1aIqkyTuWWShd5y8YSyDt/wvhY3yhIYCQSiURSNZTqlLZt2yoGg0HZv3+/Mm7cOKWoqEh57733lO+++07Jzc1V7r333mrVK6Lo9Xpl27Ztil6vFx6LLNUrrcZ/roTN2q78Y8YWRWdrJzwekaVeq4eUsFnblbBZ25VGPUYIj0cWWWSp3cVUv6HV7iE5ePAgPXr0wMXFhQ8//BCdTsfUqVMJCgqiZ8+eVVpEZdSoUSQnJ2MwGIiPj+eRRx655bE+Pj7873//4+jRoxQXFzN37txKj+vfvz+HDx8mPz+fw4cP069fvyo7moKIiAgh1xWNqt7lZ9ikn0MpFrf5lSW0d96548bHdfxaqHJNS/AWgfTWHlp1V8O7RuuQ/PDDD7Rq1YrmzZvzyCOP0LJlS1q2bMmPP/5413WEh4czb948pk2bRmhoKLt372bTpk00blz5ok6Ojo6kp6czbdo0fvvtt0qPad++PStWrCA2NpY2bdoQGxvLypUrefDBB6vlWRNcXV1Vv6YloKZ3hRk2l8TerrGE9r6effnGwFa/ICg3Jd9cWIK3CKS39tCquxre1UpIPDw8iIyMZMuWLSQmJrJu3TreffddBgwYgLu7e5XqmjBhAlFRUURFRXH06FHGjx/P2bNnGTVqVKXHnz59mnHjxhEbG0tWVlalx4wbN46tW7fy/vvvc+zYMd5//322b9/OuHHjquxaU44dO6b6NS0BNb0rDmhNUe26lWEp7Z17tjQOO2cXHBs0Mvv1LMVbbaS39tCquxreVU5IHn30UU6cOMF//vMfunbtSoMGDfDw8KBr165MmzaN48eP07Fjx7uqy97enrZt2xIXF1fh+bi4OB5++OGqhmbkoYceuqnOLVu23LFOFxcXXF1djcXBwaHaMZSxZ8+eGtdhjajpXXHKr9geEktp77xzR42P6zQ2/20bS/FWG+mtPbTqroZ3lTbX8/DwYMWKFWRlZTFixAg2btyIwWAAwNnZmaeeeooPPviAb775huDgYDIzM+9Yn52dHWlpaRWeT0tLw8fHp4oqN/Dx8alWnefPn8fO7sZbsmPHDmJiYtiwYYOxxyYuLg47OzseffRRABYsWMCAAQNo1KgRFy9eZOXKlYwdOxYovaXVr18/rl69CsCnn37Kk08+SUBAABkZGURHRzNp0iSgtLEzMzPp3bs3AFFRUXTq1InmzZuTlZXFwoULmTJlCgD79+/n3Llz9O/fHyjd6DAsLIxWrVphMBiYM2cOU6ZMwcbGhoSEBI4fP86gQYMA+OqrrwgODiYkJISioiJmzpzJxIkTcXJy4vDhwyQkJBiXCF69ejVNmjQxTveaNm0aERERuLq6cuzYMfbs2cPw4cMBWLduHZ6ensakT6fTcfnyZdzd3UlOTmbr1q2MHDkSgE2bNqHX6+ncuTMAc+fOZfDgwXh7e3Pu3DnWrVvHmDFjANi2bRsAjz/+OACffPIJffv2xc/Pj7S0NJYvX07bR3uS+leb3eOuZ3RkJACLFy+mW7duBAYGkpmZyRdffMHrr78OwN69e0lPT6dv374ALFmyhA4dOtCiRQtycnJYsGABkX/VEx8fz+nTpxkwYAAAy5YtIzQ0lHvvvZf8/Hw+/PBDJk+ejJ2dHd7e3sybN49nn30WKN1GISgoiNDQUEpKSpgxYwYTJkzA2dmZI0eOEB8fz/PPPw/AmjVr8PPzM95anDFjBqNHj6ZevXqcOHGCXbt28eKLLwKwfv163N3d6dChAwCzZ89m2LBheHh4kJKSwo9HLxg/x4FtOxGsz6dLly4AzJ8/n/DwcHx9fTl//jyrV6823h/esWMHRUVFdO/eHYBFixbRq1cv/P39SU9PJzY2lgkTJgCwe/dusrOz6dWrF0FBQUyaNImuXbvSrFkzrly5wuLFi3njjTcA2LdvH6mpqcaxXDExMbRr147g4GByc3OZN28eU6dORafTcfDgQZKTkxk4cCAAy5cvp3Xr1rRu3ZrCwkJmz57NpEmTcHBwIDExkcTERAYPHgzAqlWrCAwMpG3btiiKwvTp0xk3bhx16tQhKSmJX375haFDhwKwdu1afHx8aN++PQDvv/8+/8/eeYdHVW19+J2eTHqvEAgkEAICEpEmTcAOKEpTOkhREfQqAl7vtYCKnyBcQRAEREVFRVEREJQmUgRBKSEJhBDSe59Mpn1/BAZiQs2cOZPMeR/meQ7n7LP3+s2anFmzy9qTJ0/Gx8eHM2fOsHPnTiZNmgTA5s2b8fT0tP7YWrhwIaNGjaJ79+7s2LGjXs8IvV7PPffcAzScZ8Rrr71GYmJivZ4RCxYsYOLEiXZ5RsycOROA3bt3U1FRwX333Qfc2jPioYce4siRI7f8jDh27Bjx8fGiPyO2bt3KlClTgOof7BqN5prPiLfeeovExMQ6nxG2nKN5wzNgZ82aZSkoKLCEhYVdtUyTJk0sBQUFlhdeeOG69YWEhFgsFoulS5cuNc7PmTPHEh8ff937d+7caVm0aFGt83q93jJ8+PAa50aOHGnR6XTXnCEcGBho8fDwsL7UanW9Zx/PnTtX9BnQYrzsqbvNjA8dZoWNo/hbofW0rrRpPW2x0+h2Vn9LuiXtYuoWZZXNgAEDWL16NenpV9+47MKFC6xZs4Z77733uvXl5eVhNBpr9VwEBgbW6uG4GbKysm6pzrKyMkpLS62vqqqqW7bhEps2bap3HQ0Ru+mWy6272urz0kVdYQOO429TRQmV+dW9JK6hLUFuk429r4qj6LY3km7nw1m120P3TT2lYmJi+O23365bbu/evcTExFy3nMFg4MiRI/Tv37/G+f79+/P777/fjGk12L9/f606BwwYUK86b5WAgAC7t+kI2Eu3xjcUuUr8PWwu4Uj+rrg4sVWhdqkxz0YIHEm3PZF0Ox/Oqt0eum8qIPH29iYnJ+e65XJycvD29r6hOhcuXMjEiRMZN24crVu3ZuHChTRt2pTly5cDMH/+fD7++OMa97Rv35727dvj7u5OQEAA7du3rxEALV68mAEDBvDiiy/SqlUrXnzxRfr168d77713E2ptQ30m5zZk7KXbNSjCeiz2ChtwLH+Xp12eFe/WpLWgbTmSbnsi6XY+nFW7PXTf1KRWjUaDwWC4bjmj0XjDK1Q2bNiAn58fr7zyCiEhIZw4cYL777+f1NRUAEJCQmjatGmNe44dO2Y9jouL4/HHHyclJYXmzZsD1T0kw4cP54033uD111/n7NmzDBs2jEOHDt2oVIkGwpUBidg5SByN8vOnrMfuEW3IO/STiNZISEhIXBsZ1ZNJbgiTycSYMWOum4W1Xbt2rF69usaKFUdGq9Xy/fffM3DgQCoqKmxat0qluqEgrrFhL93NR8zBr+PdAJx4d4LovSSO5G+ZUkXH135ArlShyz7PyXfHC9aWI+m2J5Ju58NZtV9Lt62+Q296ptvatWv5448/rvlas2bNLRvU2Jg4caLYJoiCvXRf6iGxmEzo864+2dpeOJK/LUaDdaM916AIFK7CZVp0JN32RNLtfDirdnvovqkujHHjxgllR6PlZjPXNhbsolsmxyWgejivMi8Ni0n8Xy2O5u/y1FO4R7QBwD0ihuLTwgxbOppueyHpdj6cVbs9dN9UQLJu3Tqh7Gi0JCcni22CKNhDt8YvxKFW2IDj+bss5SRBdz0KgFtErGABiaPptheSbufDWbXbQ7ewyQkk2L59u9gmiII9dF+5lLXSQSa0Opq/y1KvnNgaK1g7jqbbXki6nQ9n1W4P3VJAIjCXUiE7G/bQ7XLFpno6B1jyC47nb0NxHvrC6oSAbk1aC5YgzdF02wtJt/PhrNrtoVsKSCQaLK7BzazHlQ4yZOOIXFr+q9C44hocKbI1EhISEnUjBSQCs2XLFrFNEAV76NaGVH+5mo0GKnMvCN7ejeCI/i67Mh9JM2GGbRxRtz2QdDsfzqrdHrqlgERgtFqt2CaIgtC6ZQrV5RU2Oami72FzCUf0d9n5E9Zjj+btBGnDEXXbA0m38+Gs2u2hWwpIBObS9tnOhtC6XYIikCkUAOgyHWfWuyP6uyLjDEZdGQAekR0EacMRddsDSbfz4aza7aFbCkgkGiSXhmsAKjLPimhJA8BspiylupdE5eGDS2DT69wgISEhIQ4WZ39ptVrLjh07LFqtVpC6xdYn1nsqZP3hD06xxC34xRK34BeLZ1Qn0fU6ur+Deg21vl8BXR50Gt3O6m9Jt6Tdnrpt9R0q9ZAIzMiRI8U2QRSE1l2zh8Rxhmwc1d+lZ/+yHgsxbOOouoVG0u18OKt2e+iWAhKBCQoKEtsEURBat2tICwAMpYUYywoFbetmcFR/V2QkYaosB8CjRXub1++ouoVG0u18OKt2e+iWAhKBSUtLE9sEURBSt9LdB5W7N+BYE1rBgf1tNlN67jgAKg9fXAKa2LR6h9UtMJJu58NZtdtD903tZSNx82zatElsE0RBSN3a0BbWY0eb0OrI/i5N/gvvmC5AdS+JLXO3OLLueiOTofEPQxsahcY3BI1PEAqtBwq1C3+oNbQY/RomfTmG4jyqinLQZSZTkZWMWa8T23LBaNT+vg7Oqt0euqWARGCeeuop5s2bJ7YZdkdI3a5XzB9xtB4SR/Z3jXkkLW8n98CPNqvbkXXfCipPf7xju+MZ3QmPyPYoXd2vWrau7AwWs5mKjDOUnjlK0anfKTt/EiwW4Qy2M43N3zeDs2q3h24pIJFocGhDruwhcayAxJGpyEjCWFGCUuuJZ8vbq/e1MZvFNsthkCnV+Lbvg/8d9+DerB2yeuz7I5PLcQuPxi08muDew6gqzqPg6C/kHvgBfUGmDa2WkGg8SAGJwOzYsUNsE0RBSN2XhmzMJiOVOamCtXMrOLS/zWZKko7g274PSq0Hbk1aW/e5qS8Orfs6KN28COoxhIAuD6F086x13VBWSFnKSSrSEtHlpFJVlI2xrAiTXkenTrfz57G/UWo9UHsFoPELRRvaEremMTWGFtVe/gT3HkZw72EUxR8g69f11b0mDZSG7O/64qza7aFbCkgkGhRylcaa2Ksy6xwWk0FkixoWxQl/4Nu+DwBe0XfYLCBpiChc3QnpM5KAbgNRqF1rXNPlpFJw7FeKTu1Hl3n2qsMtMkMlxrLqlV6VOamQdMR6TenmjVerO/C5rRee0XHIlSoAvGO64B3ThZIzR0nfspLyCwnCiZSQaEBIq2wEpl+/fmKbIApC6XYNbo5MXp0yviLjjCBt1AdH93dJ4mHrsWerO2xWr6PrroFcTmD3R2g36xOCew+zBiNmo4H8P3cQ//4znPy/cWTu+ARdxplrzv24lm5jeRH5f27nzNqX+XvecNJ+Wom+MNt63bNlR2KeWUbk4y+j8gqwnT470KD8bWOcVbs9dEs9JBINCm1YlPW4PD1JREsaJoaSfCoyzqINbYFbeCuUWk+MFSVim2U33Jq2IeKRGTWGU8yGKnIP/kjW7g0YinMFaddYXkTWri/I3vMVvh37EXL3SFz8wwHwbd8Hr9ZdyNj+Mdm/fSPN65FwWmRUp2x1arRaLd9//z0DBw6koqLCpnV7e3tTVFRk0zobAkLpjhjyHAF3PgBA/NJnHG7IoSH4O+y+SYT0GQ5A8vo3KDi2s951OrpumUJF2D3jCOr5mHWyqsVsJv/oDjK2raGqKOeW6r1V3TK5Av87HyC0/2hU7j7W82XnT3Hu8/kOP/HV0f0tJM6q/Vq6bfUdKg3ZCMygQYPENkEUhNKtDWsJVH+Z6DIcb4VNQ/B3SeIf1mPPVp1tUqcj63YJakbMM+8T3HuYNRgpT0/i9NKnSfny7VsORuDWdVvMJnL3f8+Jd8aS8/smLBd7Rdwj2tBm5kr84u69ZZvsgSP7W2icVbs9dEtDNgITHh4utgmiIIRumUKJa3BzACpzL2A2VNq8jfrSEPxdlnISk74ChUaLd+suyOQKLGZTvep0SN0yGYHdHib8/knIVWoAzMYq0retIXvv1zYZGqmvbpOujNTvlpD/53aaD5+Ni38YCo0rzYe+gHebrpz/+l2HHFJzSH/bCWfVbg/dUg+JwGRnZ1+/UCNECN0ugRHIldVfLBUZjjl/pCH422IyUBx/EAClmyfukbfVu05H0y3XaGkx+lWaDnrKGozoss4R/7+nyN69wWbzNGyluzw1nlPvPUnuwc3Wcz5texDz7HLrvk2OhKP52544q3Z76JYCEoFZv3692CaIghC6r5zQWpHueCtsoOH4u/DEXuuxT9u76l2fI+nWBIQT8/T7+MR2t57L2vM1p5ZMtXlmX1vqNldVcv6bhZz5+BUM5cUAaHyCaP3UEnza97ZZO7bAkfxtb5xVuz10SwGJwMycOVNsE0RBCN2X5o8AVDjoCpuG4u/ihEOYDVUAeLftDjJZvepzFN1eMV2JeXoprkERABgrSklc9RJpP36AxWj7nDVC6C46uY9Ti56kLDUeAIXahRaP/5uweyeAzDEe2Y7ibzFwVu320O0Yn24JiRvArUYPiWMGJA0Fs15HSVJ1ThK1pz9uTWJEtqj+hPQdSdS4N6z7zlRkJhO/ZGqNSbwNBUNJHgnLZ5J3eJv1XEjfkbQc8ypylYuIlklICIcUkAjM7t27xTZBFGyuWy7HNbS6h6QyPwNTZblt67cRDcnfhcevGLZp16NedYmpWyZXEDHkueoehIsU/LWL00ufEXz5rJC6LUYDKRsWkPr9UuukY+823Yh+8h0U2top7u1JQ/qc2xpn1W4P3VJAIjC2zmvSULC1btegZijU1b8Myy+ctmndtqQh+bvo1H4spuovOp92veo1bCOWbrnGlZZj37DmpgFI27KK5M9ex1wl/Cose+jO+W0jSR/NxqgrA6qXBree+h5q70DB274aDelzbmucVbs9dEsBicDcd999YpsgCrbW7daktfW4woEDkobkb5OulJKLe69ofIPxaH7rq23E0K3y8KXVlEV4ta7OpWI2VnH2s9fJ2vm53Wywl+6SpCMkLH+OqpJ8AFyDImg9bQkuQc3s0v4/aUifc1vjrNrtoVsKSCQaBFcGJOWpjhuQNDTyjlyeo+AXd4+IltwcGv8wWj/1P+u8ImNFKYkrX6Twr13iGiYgusyznF46ncrcNADU3gG0nvpejb8NCYmGjBSQCMyKFSvENkEUbK370kPXYjI55KZ6l2ho/i46uc86FODTridy9a1NmLSnbteQFrSeuhiNbzAA+oIsTi+bTtm543az4RL29ndVYbXWS0G5UutB9KQFuEW0sasdDe1zbkucVbs9dEsBicD0799fbBNEwZa65SoXXIObAaDLPofZoLdZ3bamofnbYjRQ8Ff1XjYKjWv1XJJbwF663Zu1pdWUhag8qvd/qchM5vTSZ6jMSbVL+/9EDH8by4tJ+PB5Ss4cBUDh4kb0xLdxb97ObjY0tM+5LXFW7fbQLQUkAhMZGSm2CaJgS93asChkcgXg2BNaoWH6O/+KpaX+cQNuqQ576PaMvoOoiW9bl/WWpZwkYflMDKUFgrd9NcTyt7mqkjNr5lKcWL10W6HREjXhTTxadLBL+w3xc24rnFW7PXRLAYnAFBSI97AUE1vqdmt6xfyRCwk2q1cIGqK/y1Pj0V3sYfBo0eGWJkoKrdunfW9ajn3dutKqOOEPEle+iOnicJNYiOlvs0HPmbUvUxR/AACF2pWo8fPxaHm74G03xM+5rXBW7fbQLQMsgrfi4Nhq6+S6UKlUGAy2zxDp6NhSd+TjL+Pbvg8AJxdOQpfleLv8XqKh+juw+8M0HfQ0ALmHfuL81+/e1P1C6va/8wEiHp5h3am34O/dnPv8TSwm8d9nR/C3TKEi8ol/W1Plm6p0JK16ibKUE4K16Qi6xcJZtV9Lt62+Q6UeEoF58cUXxTZBFGyp+9KEVlOVDl1Ois3qFYKG6u+8w1utk1v9OvZD6e5zU/cLpTu493CaDXnOGozkHvqJ5M/ecIhgBBzD3xaTgeRPX6PwxD7gck+JNjxasDYdQbdYOKt2e+iWAhIJh0bp7oPGNwSAirQkm+3SKlETs15H3sWdZuUqNYFdHxLZIgh/4EnC759k/X/W7g3VPTcW6TPwTywmI8mfvU5xwiHg4kTXCW/jGtxcZMskJG4cKSARmN9//11sE0TBVrrdm7W1HgvZBW0rGrK/s/d9a83cGtB10E3tmWJT3XI5zR77F8G9hllPpW35iLTNjrfc0pH8bTEZOLvuv5Qm/wWA0s2T6EkL0PiH27wtR9Jtb5xVuz10SwGJwOTm5optgijYSneNgOT8SZvUKSQN2d+G4lwK/t4FgMrdm6C7Hrnhe22lW6ZU0eKJ/+J/R3VWSIvZTMo3C8na6Zhbvjuav80GPUlr5lJ2/hRwMZvtk++g9gmyaTuOptueOKt2e+iWAhKBGTRokNgmiIKtdLs3i7Uel6U4fkDS0P2dueMTay9JcO/hKN28bug+W+iWa7RETXgLn7bVkzPNxiqSP3vdOpTkiDiiv816HUmrZ1sTCKq9A4l+8v9QefrbrA1H1G0vnFW7PXRLAYmEwyJXadBeTA2uyz6PSVcqskWNn8rcC+T9sQWonocQcvcTdmlX6eZNq8nv4nkxj4ZJryNp9VwKj++xS/uNDZOujMSVs9BlnwfAxS+U6EkLUIq8S7CExLWQAhKBWb16tdgmiIItdLs1aY1coQQaxvwRaBz+ztj+MaYqHQABXR7CJTDiuvfUR7dLUAStn/4fbhdXhRjKi0n88HlKz/x5y3XaC0f2t7G8iMSVL1KZnwFUb8gXNf5N5BrXetftyLqFxlm120O3FJAITPfu3cU2QRRsobuhDddA4/C3obSA7D1fAyBXqmg+fJY1U+7VuFXdXq3vJOap/+HiFwpAVVEOCR/McPgEeJdwdH8bSvJI/PBfVBXnAdVJBluOfg2ZUlWveh1dt5A4q3Z76HaIgGTq1KkkJyej0+k4fPgwPXr0uGb5nj17cvjwYXQ6HWfPnmXy5Mk1ro8ZMwaLxVLrpdFohJRRJ61atbJ7m46ALXTXnNDaMHpIGou/M39db+3udwtvRcjdj1+z/K3oDur5GC3HvoHCxQ2A8vQk4pdOF21fmluhIfi7qjCbxFWzMFaUAOAZdTuRI+aC/NYf/w1Bt1A4q3Z76BY9IBk6dCjvvfce8+bNo2PHjuzdu5ctW7bQpEmTOss3a9aMn376ib1799KxY0fmz5/PkiVLeOSRmisCiouLCQ4OrvHS6+2/KVtpqXPOe6i3bpkMt6bVO5gaygrR56XbwCrhaSz+thirOPfFm5hNRgBC+j5xzX1Sbka3XOVCs6Ev0uTBKTWyryYsm4GhuGGtYGgo/q7MTiFp9RxM+uqhOJ92dxHxyHO3XF9D0S0EzqrdHrpFTx1/4MAB/vzzT6ZNm2Y9d+rUKb777jvmzJlTq/xbb73FwIEDadPm8nbbH3zwAe3bt6dbt25AdQ/Je++9h4/PjWWbFDJ1vMSt4RoSSezMlQAUnviNs+v+I7JFzklIv1GEDRgLgKmynNPheG2XAAAgAElEQVTLn0N3cfXGreAa0oLIx1/GNbCp9VzG9o/J2PEJWJx+FwvB8YzqRMtx85BfHLLJ2v0laZs/FNkqiYZOo0gdr1Kp6NSpEz///HON8z///LM1uPgnXbt2rVV+27ZtxMXFoVQqrefc3d1JSUnhwoUL/PDDD3TocP1dMN3d3fHw8LC+1Gr1Laiqydy5c+tdR0Okvrqv/DVeevZYfc2xG43N35m/fkbRqf3Apeyfb9aZ/fN6umVKNWH3jCdm+jJrMGLS6zj76WtkbF/XYIORhubvkqQjnPt8PpaLGY+Dew0juPfwm66noem2Jc6q3R66ldcvIhz+/v4olUqys7NrnM/OziY4OLjOe4KDg+ssr1Kp8Pf3Jysri9OnTzN27FiOHz+Op6cnzz77LPv27aN9+/acOXP1X3fp6ek1gppff/2VtWvXsnnzZqZOnQpUB0tKpZK+ffsCsGTJEoYMGUJYWBiZmZls2LCBZ599FoBdu3bh7e1tdeTy5cu59957adasGXl5eaxZs4YXXngBgH379lFQUMBDD1Wn7P7oo4/o2bMnUVFRFBcXs2zZMmbPng3AoUOHSEtLsw5TrVu3jri4ONq0aYNOp2PhwoXMnj0buVzO0aNHSUxMZNiw6qyXn3/+OTExMXTo0AGj0cjbb7/N888/j4uLCydPnuTo0aM88UT1Us9vvvmGiIgI4uLiAJg3bx7Tp0/Hw8ODhIQE9u3bx/jx4wHYtGkTAQEB1kBSJpMxdepUfH19SU5OZvv27da5Plu2bEGr1dKrVy8AFi1axMiRIwkKCiItLY1NmzbR6b6hXOq8b6Y1Menie7h06VIGDRpEeHg42dnZrF+/npkzZwKwe/duKioquO++6qRaK1asoH///kRGRlJQUMCqVaus+zH8/vvv5ObmWtfWr169mu7du9OqVStKS0tZsmSJ1W+HDx/m/PnzDBkyBIBPP/2Ujh07EhsbS2VlJe+++y6zZs1CqVQSFBREZGQkI0aMAODLL78kOjqajh07YjabefPNN3nuuedwdXXl1KlTHD58mNGjRwOwceNGwsPD6dy5MwBvvvkm06ZNw8vLi6SkJPbs2cOECRMA+OGHH/D19bVONHvnnXcYN24c/v7+pKSksHXrVqZMmQJUB+wajYbevXsDsHjxYoYOHUpISAjp6el88803TJ8+3fqZNxqNDBgwAKjufbzTfIZsYwxFSm9UHr60m7mCWN1pzv76NSUlJTzwwANER0cTGBhInz59aNmyJYWFhaxYsYJZL71EpiqIk4Ri1l7usTRkn6Np5j7uf6gH5X078t577zFnzhxkMhlHjhwhOTmZxx57DID169fTrl072rVrR1VVFe+88w4vvPACarWa48ePc/z4cUaOHAnAV199RWRkJJ06dcJisTB//nxmzJiBm5sb8fHxHDx4kLFjxwLw3XffERwcTJcuXYDq3tfJkyfj4+PDmTNn2LlzJ5MmVaeu37x5M56entx1110ALFy4kFGjRhEdHc2oUaPq9YzQ6/Xcc889dn1GrNu4iGaPPg9A+P2T8HV35eH2oTf8jIiOjmbu3Ln1ekYsWLCAiRMn3vIz4qmnngJgx44dAPTr188uz4jo6GimT59+y8+IY8eOER8f3+CeEZd8XtczYvDgwdgKi1ivkJAQi8VisXTp0qXG+Tlz5lji4+PrvCchIcHy0ksv1TjXrVs3i8VisQQFBdV5j0wmsxw9etSyePHiOq9rtVrLjh07LIGBgRYPDw/rS61W11vjPffcI9r7K+arXrrlckuHVzdZ4hb8Ymn/yjcWZDLR9Ti7vxWuHpaY6csscQt+sb6iJr5tcW/erk7dKg9fS1DPxyyxz6+ucc/t87daQgeMtcgUKtE1Obu/g3sPt/ql01vbLT7tejqFbmf2uVC6L32HarXaerUhag9JXl4eRqOxVm9IYGBgrV6QS2RlZdVZ3mAwkJ+fX+c9FouFP/74g6ioqGvaU1ZWZvM5JOfPn7dpfQ2F+ujWhkahdHUHLg7XNKDu/Mbqb5OulNPLnqXp4OkEdL4fAK/oOLyi4zCUF5NdkEak/x3IlGpcg5tbl/FeScmZo6R+9z8qcxrPe9SQ/Z216wuUWk+Cew9DJpfTfMQcTJXllCQdue69DVl3fXFW7fbQLeocEoPBwJEjR+jfv3+N8/3797/qRj779++vVX7AgAEcPnwYo9F41bY6dOhAZmZm/Y2+SS514Tkb9dHt2UDnj0Dj9rfFaOD81++SvH6eNdkWgMrNC2WTWHzb98EntnutYKQ0+S8SVjxP4of/alTBCDR8f6f99CG5h34CqnPOtBjzKm5NY657X0PXXR+cVbs9dIvaQwLVY7GffPIJhw8fZv/+/Tz55JM0bdqU5cuXAzB//nzCwsIYM2YMUD3G+vTTT/Puu++ycuVKunbtyoQJE6zjcQCvvPIKBw4cICkpCU9PT6ZPn06HDh2sY44Sjs2VE1pLzh4V0RKJuig49isFf+/Ct0NffG/rjXtELEq3yynJTVWV6DLOUnLmT/L/3N5glmw7K+c3LkLp6o5Pu54o1K5EjZ/P6Q9mUpmdIrZpEk6I6GNTU6dOtZw7d85SWVlpOXz4sOWuu+6yXluzZo1l586dNcr37NnTcuTIEUtlZaUlOTnZMnny5BrXFy5caElJSbFUVlZasrOzLVu3bq01T+XKl63Gv+p6RUREiP7+ivG6Vd0yucLS8fUfLXELfrHc9vKXouuQ/H1jr+Zt2lvU3oEWlVeABblcdHskf9/cS6ZQWaInLbDOKbnt5S8tap/gRq/bmX1uS902/A4VX6jYLyEDksGDB4uuT4zXrep2b9bW+lBsPmK26Dokf0u6nUW3XONqiXl6qfXvr+2L6yxKd59Gr9uZfW4r3bb6DhU9U2tjJzY29vqFGiG3qturVWfrcUmi42+u9k8kfzsXjUm3Wa8jcfXsyzsE+4cRPfEta2r/K2lMum8WZ9VuD91SQCIwlZWVYpsgCreq27P15YCkOOGQrcyxG5K/nYvGpttUUULiqhfRF1avctSGtqzO7KqquQ9YY9N9MzirdnvoFj11vCMgpY53DJTuPnR4pXqX2fL0JOIXTxHZIgkJ50TjH07rae+hcq9OZld8+iBnPn4Fi+nqKxklnJdGkTreGZg1a5bYJojCreiuMVxzuuH1joDkb2ejserW56WRuOoljLoyALxa30mzoS+CTAY0Xt03grNqt4duKSARmCtT0TsTt6Lbq/Ud1uOGOFwDkr+djcasW5dxhjNrX8ZsqN4l3a/j3TQd9AzQuHVfD2fVbg/dUkAiMMeONazEXrbipnXL5XhGVe+HYawopSz1lABWCY/kb+eisesuO3ecs5++jsVkAiCw2yBCB4xt9LqvhbNqt4duKSARmPj4eLFNEIWb1e3eJAal1gOAkqTDcHE30oaG5G/nwhl0F8fv59yGBdb/h/YbRbKy9tYAzoIz+Lwu7KFbCkgE5soMss7Ezer2btvdelx8+g9bm2M3JH87F86iu+DoDlI3vW/9v1v34fjd3v8adzRenMXn/8QeuqWARMIh8G5bva27xWSiKH6/yNZISEj8k5x935KxfZ31/80eewGvNl1FtEiisSEFJALz5Zdfim2CKNyMbteQSOuGbKXJxzBVlAhlluBI/nYunE13xvaPyd73LQAyhYIWj7+CZ3ScyFbZF2fz+SXsoVsKSAQmOjpabBNE4WZ0+7TraT0uPPGbEObYDcnfzoUz6r7w/VI02dXzCeQqNS3HvI5nVCeRrbIfzuhzsI9uKSARmI4dO4ptgijcjG6ftj0AsJjNFDXwgETyt3PhlLotFnq6ZFHw9x7gYlAy9g2nCUqc0ufYR7cUkAiMuYGuFqkvN6pbExCOa3BzAMpTT2EoLRDSLMGR/O1cOKtuzCbOrX+DwuPOF5Q4q8/toVtKHY+UOl5MQvqOJOzeCQBc+OEDsvd+LbJFEhISN4pMriDy8Zetw65mQxVn1v2Hkgaa2FDi1pBSxzcQnnvuObFNEIUb1e17xdLBS7+2GjKSv50LZ9dtMZtI/uwfPSVjXqsxL6yx4ew+FxIpIBEYV1dXsU0QhRvR7dakFa6BTQEoOXuMqqIcoc0SHMnfzoWk+3JQUvDXLgDkShWRj7+MX6cBIlknLJLPhUMKSATm1KmGmQK9vtyIbr/bLz+w8o/8LKQ5dkPyt3Mh6a7GYjaRvH4eeX9sAaqHcpoPm0VA10FimCcoks+FQwpIBObw4cNimyAK19MtUyjx7dAXAFNVJYXH99rDLMGR/O1cSLqvwGIm5et3yf5to/VUxMPTCbn7CTtaJjySz4VDCkgEZvTo0WKbIArX0+3V+k6Ubp4AFJ3ch1nfOCYTS/52LiTd/8Bi4cL3S8n45VPrqbB7xhHxyEyQN46vG8nnwtE4PiESDQ7/zvdbj/OPbBfREgkJCVuTsW0NF35cbv1/QJcHaTn6NeQqFxGtknB0pIBEYDZu3Hj9Qo2Qa+lW+4bg1aozAPrCbErOHLGXWYIj+du5kHRfnew9X5G8fh5mowEA7zZdiX7yHZRuXkKbJyiSz4VDCkgEJjw8XGwTROFaugO7PoTsYvdt7oEfoBElGpL87VxIuq9NwbFfSfroJYy6MgDcI9rQ+un3cQmKENI8QZF8LhxSQCIwnTt3FtsEUbiabrlKg/8d9wFgNlaRd+gne5olOJK/nQtJ9/UpPXuMhA9mUlWcB4CLXygxT/0Pr5guQpknKJLPhUMKSCTsik/7Pii11ZNZC47twlheLLJFEhISQqPLSib+/acpT08CQOHiRssxrxPce7jIlkk4ElLqeIRNHS+Xy51y74M6dctkxM5cad27Jv5/0yi/kCCCdcIh+du5kHTf5H0qF5oNfQHf9r2t5/KP7uD814swGyptaKFwSD6vjZQ6voEwbdo0sU0Qhbp0e8d2twYjZSknGl0wApK/nQ1J981hNlSS/NnrpP+81nrOr2M/Yp5ZisvFrM2OjuRz4ZACEoHx8mrYM8pvlbp0X5kgKWPHp7WuNwYkfzsXku5bI3PHJ5xZ919Meh0ArsHNiJm+DN+O/WxhnqBIPhcOKSARmKSkJLFNEIV/6vaK6YJbWBQA5RdOU5L4hxhmCY7kb+dC0n3rFJ3YS/ySqVRkJgOgULsSOWI2EUNmIldp6l2/UEg+Fw4pIBGYPXsa/g62t0IN3TIZof0vZ/nL/OUzESyyD5K/nQtJd/2ozL3A6fefJvfQFuu5gDsfpM2MFbg1aW2TNmyN5HPhkAISgZkwYYLYJojClbp9O96NW3grACoyzlAUv18sswRH8rdzIemuP2aDnvNf/x/nvnwbU1X1xFaXgCa0fmoJoQPGIlMobdaWLZB8LhxSQCIhKHKVC+H3TbL+/8KPy8Hi9Au7JCQk/kH+kZ85tXgyZanxQPWOwaH9RtH66fdxDWkhsnUS9kAB/FdsI8RGpVIxYsQIPv/8cwwGg03rLi4uJjs726Z1NgQu6Q65+3G823QFoOjU72T9ul5ky4TF2f3tbEi6bYupooS8w1uxGI24N2+HTC5H7elHQOf7Ubi6UZZyAovJaPN2bwbJ57Wx1Xeo1EMiML6+vmKbIAq+vr64BDa1Jj4ym4xc+HGFyFYJjzP72xmRdAuA2Uzmr59x+v2n0WWlACBTKAju+Rht/7UG79juwrV9A0g+Fw4pIBGY7t3F/eMRi67de9Bs6IvIVWoAcn77Bn1emshWCY+z+lvS7VzYQ3dFehKnFk8hfetHmA16ANTegbQc8xpR4+fjEtRMcBvqQvK5cEgBiYQgpKib4N40BqieSZ++ba24BklISDQ4LCYDmb+u5+S7EyhOuJwqwKv1ncTO/JCIIc+h8nDOHovGiJQ6HmFTx6vVaqqqqmxap6Pj1jSGVlMWIVeqsJhNnF72LOUXJ6o1dpzR3yDpdjbE0u3Tvjfh9z+JxifIes5UpSN7z9dk7/0Gk65UcBskn9dGSh3fQBg3bpzYJtgVlYcvLUb/F7lSBUDW7q+cJhgB5/P3JSTdzoVYugv/2sWJd8aS9tNKjLoyoDqhWmi/Udw2Zz1h901C6eYtqA2Sz4VDCkgExt/fX2wT7IZMqSLyiVdQe1ZrLj17jIxtq0W2yr44k7+vRNLtXIip22KsImvXF5xYMJrs3zZivrjqRqHREtJnOO1mf0aTh6ah9g0RpH3J58LhWBlnGiEpKSlim2AXZAolLUb9F4/m7QBQVpVx9tPXsZhNIltmX5zF3/9E0u1cOIJuY3kxF75fSvberwnuNQz/zvchV6pRqF0IumsIgd0fpvj0AXL2fUdJ0hGbtesI2sXAHrqlOSQIO4fEz8+P/Px8m9bpaMjkCpqPnIvvbb0AMOkryPriNTJPNs79aq6FM/i7LiTdzoUj6lZ5+hPc6zH873wQhdqlxjVd9nny/thCwdFfMJQW1KsdR9RuD66lW5pD0kCYMmWK2CYIisLFjZbj51uDEbNBT9KauYwfPEBky8Shsfv7aki6nQtH1G0oyePCDx9wfP4I0rasoqoox3rNNSiCJg9O4ba5XxA1/k182ve55Q38HFG7PbCHbmnIRuKW0fiH02LUf9CGRAJgNlZx5uP/UJb8N/CQuMZJSEg4JcaKErJ2fk7W7i/xbtOdoO6D8WjRAajuzfVq3Rmv1p0xVVVSkvAHhSd/ozj+AKaLk2QlxEMKSARm27ZtYpsgCP6d76fJwGko1K4AGMqLObv235SdPwk0Xt3XQ9LtXEi6HRizmaITeyk6sReNXyh+nQbgd3t/NL7BACjULvi0uwufdndhNhkpO3ecksTDlCQdoSLjzFX33GoQ2gXAHrqlgERgNJpb6xZ0VFxDWtB04DTrLw4AXU4qZ9a+jD4v3Xqusem+USTdzoWku2Ggz88g4+e1ZGz/GI/mt+HbsS/ebbqj8vABQK5Q4tmyI54tOwKTMJQVUXr2GGUpJyg7fxJdxlnrBP2Gpt1W2EO3FJAITO/evdm3b5/YZtQb15AWBPcZju9tvZDJFdbzOQd+IO2H5ZgNlTXKNxbdN4uk27mQdDcwLBZKk/+iNPkvzm9cjHtEG7zb3oVPbDc0fqHWYip3b3zb98a3fW+gOvla+YUEdBlniOrUhj+Ts6jMScVisu1mrI6MPXwuBSQSV0Wh9cSnbQ/8Og2wLue9RGVeGhe+X0rx6UMANG3alCefnkGL6FakpaZiLC+64Xa6dOnC6CefwtvHh6N/HOSj5UspKChAq9UyatwEHh46Ev+gIApystnw2To+W7cWnU5nvb93nz6MGPckzSMikKvU5OXm8vvuX1i76kNCQkJ4e/EyYtrdhqtaTUVlJaUlxQT4+2NETmlRAUveep3YTnfSqlUrXN3cUSpVeHh4olTIKS4qJO38OSxKNQq5AlOVjsDQMLx9/MnLyuCXbZvxDwqhW88+uLq5kZ50invuvQ8//wDuHzSEli0jcfPywWS2cObUcRJOx9M8qhWFBfl8vGIphw4dumm/qFQqHh7yKA88MhSlQklZcT7u3v74eHmg9fDEw8uHitJivv78Mz5asYyysosJpBQKBg56mIFDR6JQKtjx43fkZWczauBgtC6u/HLgd1Z/9om1vL0JCwvjmfGTiG0ZRXpOFv9bu5qTJ09yV48ePDn8cbzcPdj352FWfrqOu7p14/GBD6NWqti8eyefbviCXnfdxdTHRxPVrDlVZjMH/zzMwg+Xk5CQcM12/fz8mDZ2PHe0a09xWSkuPt50ahkNwPe7dzL7P/+u8XkD6NSpE9OeGENAkzBWv78MD60WtUzBnsOHWPnJx5SUlNzy+9Dv7ruZ8OhwIpo0Qe2iISsjk+92/Ez82SSenziZTu3a4+rqSkFJEau//IL/rfigln1CEBsbyzNjxxMWGEyZAt59fR5RTSLIKypk6Sdr+fvvv3ns4UcYcs99AHy99Se+/u5bm++gbjMs5uoekJQTpP34ARq/UDyjOuEZHYdHiw4oXd2tRRVqVzxbdMCzRQdOALEzP8RsMlKZk4ou4yyVualU5meiz09Hn58hzUe5RRxi2e/UqVN54YUXCAkJ4eTJk8yYMYPffvvtquV79uzJwoULiY2NJSMjgwULFrBiRc2dZB955BFef/11WrRowdmzZ5k7dy7fffddnfUJuezX3d1dtAf8zaJ098GtSSvcwlvh0bIj7hFtavSGABjKCsna9SU5+76z/jqY8cJsej/yOBuTKkjOLyfMy5XBkS6kHNnN7OefvWp7KpWKdRs2UujWhC3J5RTqqrgt2INHorRs+mQVj42dxNZUA/vOFeCiUjCgdSB9ovypKMhh2pjhJCUmsv7bH0mX+dG2eSgnMkv46WQWpXojncI8mHhnGIVVcjafymLQbaH8cDyTfcn5qJVyBrQOomtzXzb8mcbIuKZ4uypJzCnjiz/TOF9QQYSvlhGdmtAq0J0tp7L58WQmVUYzPSL9eKhdKOsOnicuwoeeLfxZsCOBU9mlBHm48OhtQbQI9EKjkKHVKDmWVswXf6bRwl/L4NvC+OyPVP7KKMZPq+b+Fu64F6cwZtgQjMYb21K9SZMmrP3qe/ZmW9hzvjpN9r0xQTzaMZzv/85gS3w2lQYTnZv5MuL2cIxlhTw9/nFSU1L4dOOP7M+XsyulDI1Sznt3hVK+cTPnVm3AWFaOf98u+E96lEkvz+LgHze3ZLu+n/NnJj7JhH4PkPX+eopPJOLWNISgJx/Dp3N7sjfvIvfTH6gqKMa3x+20fflpsvf/yZkFKzFXGQh+pD+tZ4zj/PrvSV23CWNZOcH9uhM9dSR5ufnsSPibGf+eU2e7jw4czCsTp5K99HMKDv6FS5AfUZNH4BoSyJHn5hH2QF9aPjuaByeO4eDBg8jlcj5fsYqIAj05a79FV1KGX5uWtJo+ltSvt6ArKiZwyjCmz3+VXXv33PR7+P3Hn6E5fJqc9T9iKC0nqE8XoqaMRKZRU3IyiYTFa9Fl5eHf+TZazxyP0kOLTqPgoXGjOX7ixC2//9fjw4Xv0UHpSc6qr/FuH0OTEQ+S9N5a8g/9jWuwP+HPjia46+0kvf8JuT/sBCBgYF/cHu3HI5PGkZqaKphtgiCX4xociXuzWNwjYnFv1rZGuvrrYSwvQZ+fgb4wE0NJPlUl+RguvqpK8jCU5GPWCx9E2pJr/Y3b6jtU9IBk6NChfPLJJ0ybNo19+/YxefJkJk6cSJs2bbhw4UKt8s2aNePEiROsXLmSFStW0L17d5YtW8aIESPYuHEjUP2Le+/evfz73//m22+/5eGHH+a1116jR48edf4iFTIgGT9+PKtXO0a2UoWLGwqtJyo3T1RegWh8g1H7BKHxCcY1JPKaf3AVmcnkHviBvD+2YjFe3s+gX/8BPD73XZYeyqlRfkCgHt/AUP7asIRP1tat/50ly0jx78TBtJofcq1KwYrhHZj8xTEqDDUTq7Xwd2NslwhcdfmcjT/JXnMED7QNY0t8Nn+nF1vLdY7woUszXz74LZmFj7Rn9vcnKNPX/NKP8NXyZLfm7EjIITbEk/f3nK1l49QekZzMLGHP2TzrOXeNkjcHtmXmN39xexNvujb3Y/GuM1bdbsHN6dHCjwPnCvjqWDrh3q5MuyuSl388ifkff23dIzwIuvA7c/41o8736J9s23uI947ryS277IP/3h/DZ39cICm35vvoqlKwYFBbqopzqSgu5IMECxnF1UNrb3ULQf/8yxQfPVXjHoWrC62/fJcejw2mtPTG9wWpz+e8e7duLBk1hYRn59e6FjXtccxVBs6u2mA9J1ep6P75Ig4/8yq6zFy6rHqT00s+pujv0zXuVbpp6fHlYlL2HGDVub9Z/dknNa63aNGCjW8u4tTol7CYzTWuhT3YB99O7Tj+6hI0Ab702PIRIR1ieeOluXROLiJn43YA1GMepOrjH0Emo+uatzn51nLKki8Q88W73D12JHl5edwoG1auxv2jzRT9ebLG+XavPENxfBKpX22tcV4ml9N17QJQyNE3CaBdz+6C7LEyY/JUHlb4k77qKzxaNaftnGkc2bmHqrU/WMv02rSCQ1NeRpeZW+Ne19BAgpfOpesD99jcLnujdPNGG9qCXoOGc+JCPq6hLXAJbIpccWsDDWajAZOuFGNFKcaKkiuOSzFVFGOqrMBUVYm5Soe5qhJzVSWmGseVWIxVWExGLKYb+0FTH671N26r71DRh2yee+45PvroIz766CMAZs6cyT333MPUqVOZM6f2r5opU6aQmprKzJkzATh9+jRxcXH861//sgYkM2bMYPv27bz11lsAvPXWW/Tq1YsZM2YwcuRIu+gKuutRlO4+lDTvSvgDSpDJARkyGYCMiwcgkyH7x/8vn7uy7D/vlV38J0OmUCJTqpGrVMiV6ovHauQqzcVjDUpXD2QKRS07r4Uu+zzFpw9ScOxXKtKT6iwz7fmXWPJX7URDPioLX58q4LVJ0+oMSFxdXWl35118uTun1rV+rQNZd+hCrWAE4GxeOeV6EyfzoEenLqzfcR53jbJGMAIw+LZQ5m07Td/oQLaeyqoVjACcL6igoKKKwbeF8uKm43XqW3Mwhdfub1MjICnTG/k5Pps+0QFsP53DkA5haFUKKgwmfFQWvvo7gyEdw/j6WPUk3yEdwvhof0qtYARg3/lS5vXqi4uLC5WVlbULXEHPXr04Xa4it+xyoBDi6UKV0VwrGAHQGUx8+3cGvVv4kauUk1GcBkCguwb/rHRO/SMYATDpKsn78GsmPjGaRR8svaY9VxIScutpumdPeZqU2e/Xee3M8s/p+d0HNQISs8FA/P+tosX4x0j+5DtMVVW1ghEAY3kFZ1ZtwCXAjydHPF4rIJk17WnS5q+sFYwApP+4k8hxjyLXqNHnFpC+/geenjaN+7rdRfz/TbeWkwdfTKdtsXBi3jKipz3OkZnzyFnyGU+Nm8Cr77x9Q+9BUFAQkRp3Ev8RjMjVKrzbt7GHCrAAACAASURBVOb4a/+rdY/FbObE/GVEPz0aNy8Phg95lHWfr7+h9m6GJwY9TOLD1T2dUZNHcGLeUuQP975se58u5Ow5VCsYAdBl5GDe/ze9evZk956b6zFyNIzlRZQkHeE2zb388GX1d4tMocIlsAkavzBc/ELR+Iei8Q1F4x+G2isAmfzqqb7kShVyD1+b7VZsvhScGI2YTYaLxwYsJgNm67ERi8UMJhOlKcfJ3PHJ9Su+SH3+xm8UUQMSlUpFp06drIHDJX7++We6detW5z1du3bl559/rnFu27ZtTJgwAaVSidFopGvXrixatKhWmRkzrv0r1N3dHcUVX9p6vf6Wf3H4d74f16AIUoDgXhG3VIc9MekrqEhLpDwtgfILCZSnxtdILHQ1NJ4+lOlrByT5VXKMZgs6mabOXSJjYmI4XVD32HK7EC+W7D5z1TYPnS/AQ6PEqHShVaA7R9Nqz1eRy2SUV5loF+rJ2gPnr1rXwZQCmvpo0RtrfykBVBrMdQYSB1LyGd05gu2nczieUUKkvxsnMkvIr5LjpVVxLq/c2vUY4unC2bzyq9qQWGgkKiqK48frDoou0aNPf47k1HzP2gR78Mf5wmvqG9I+jO9OZFnPxQR7UPbDD1e9J2/H7/Rb+tJNBSTp6enXL3QV/F3dSM6tO3umxWymIi0blbcnhqLL8zLyDhyj1bNj8evUluydB69ad9aOfXRa9DJFJbpan8PWTZuTdqruQBug8M+TeLSMoPhkEumbdzL8neeoOJZYo4w54/KXcGlSCi7BAQDk7jpIrydrPteuRVxcHBW7/6x13j2yCcUnEuu4o5qS08lo/Lwx6yrp362HzQMSHx8fzOm51iWwriGBlCamoL5Ct1/n9mRuvXqwUbrjAP169WjwAcklrvysW0wGdJnJ6DKTa5WTKVSovPxRe/qhuvhSe/lXH3v4oXR1R6H1RKn1QKHR1tsuuVINSjXc4GIYY+XVn0l1UZ+/8RtF1IDE398fpVJJdnZ2jfPZ2dkEBwfXeU9wcHCd5VUqFf7+/mRlZV21zNXqvER6ejpK5eW35Ndff2Xt2rVs3ryZqVOnAtXBklKppG/fvgAsWbKEIUOGEBYWRmZmJhs2bODZZ5/lN3d/bs7dtkVuMSHHjLlKj0Gvw8dNg8psJOP8Gbxd1YT7eaA2lPP1upWMGzoYT7WMU9knOXriKNOeeALowTfffENERARxcXEAzJs3j+nTp+Ph4UFCQgL79u3DXJLHsLAqDhSq8FKaifGo7tXYnK3m/iA98pJsHnvsMbZt28bkyZMB2LJlC9HR0YSa8hgWZuC7TA29/KvwUVnIq5JTVaXn4eAK9EYzx4qr/dHBq7qH48csDS0VRWiNVZRnlWI2ymhuzGRYWCXHS5TozRDnbUSfkYin0oy8KJMHA8rJcTezLUfNo6F6AOJLFRQb5XRQ5VGaWoqvykyMh5FwVzM6k4zvszQMC6vusTCV5BDuaqK7b3UwsDNPTScvPeq8szwcUomrSkGcawGxYUYu6OT4KIxYss8wLKySvfkqjEVZDA+vxGSBr9JdGBxSiUYOqTo5SWVKgk15jBw5knXr1hEeHk7nzp0BePPNN5k2bRpeXl4kJSUhs5jo4V5EuzADhwpVuCsttCIblVzGThn0D6zCU2khWy/nSJGS+4OqUCvl6EryiVBXEnVRT6bJQMXt0biEj8WckUvVdztxmTYUAMOuwyi1LhhcVMydO5cPPviABx54gKZNm5Kbm8snn3zCc889B8DevXspKSnhgQceQKlUEhgYSJ8+fWjZsiWFhYWsWLGCl156CYADBw6QlZXF4MGDAVi7di133nknMTExlKiqewddXhwNMjnGo6cxn0tH/cjd1Ta5uyDr0wmX6AgsVQb0iz7D5fknOCc3oG8ZilZvwmXWWACqNv6CvHkYyo6twWKGj3/igouFKo2SgQMHsn//fsaOrS5rUMhQ9b0DxR2xAFT+3zo0EwYj8/HEdDYNi5c7pmH9cCnvjjwpjdJKHZZmgbjMGkvl4s9Rj7wXeYg/6pH3YtjyO5onH+Gc0oiiUwxyrQvlcgtz58696jMCYNeuXej1evr370+5hy+yzTtRDbgTeUQo5vwiTHuOkd0sAJdZYzH+/heWolJU9/cAQL/2e5Q9OnJOaUQlt6DT65k7dy4Ahw4dIi0tjUceeQSAdevWERcXR5s2bdDpdCxcuJDZs2cjl8s5evQoiYmJDBs2DIDPP/+cmJgYOnSoXtqv0LqgeXYEMhcNuQoz8ogQ5E2DcZk1lqrvdlLio8U0cgAu995J5dtr0Ux7DJmHG6bE8xj3H8c4vD9NPNS0bduWgIAA64/NBQsWMHHiRHx9fUlOTmb79u01nhFarZZevaozQC9atIiRI0cSFBREWloamzZt4qmnngJgx44dAPTr1w+ApUuXMmjQIMLDw8nOzmb9+vXWHvXdu3dTUVHBffdVT7xdsWIF/fv3JzIykoKCAlatWsWLL74IwO+//05ubi6DBg0CYPXq1XTv3p2IiAimT5/OkiVLrO/34cOHOX/+PEOGDAHg008/pWPHjsTGxlJZWcm7777LrFmzUCqVHDt2jPiD8Tw2YgQAX378JVGtWhPbMQ69RcGaT79gyMhRyDVa0jJzSM3IosMdd2KSKUhKTsHNyxefgCBMyElOSSWsSVPkShU6fRXlukq8fPwwy+To9FXIFEoUKjVm5FhkNXtr1CqF1f5t27ah0Wjo3bs3AIsXL2bo0KGEhISQnp5u/S6YO3cuv/76K0ajkQEDqrNxf/DBB9a/6/oi6hySkJAQMjIy6Nq1KwcOHLCenzNnDqNGjSImJqbWPQkJCaxZs6ZGr0q3bt3Yt2+fNRDR6/WMGTOGL774wlpm5MiRfPTRR7i6utaq89L418iRI2vMVq9PD4k2vBVytYZRT4zik3XrwGLGguXiu225+IvDcvGHh8X6C8RiuXztUlnLP/6PxVKjLovJhNmgx2KswmyosutStBUfr2ervhkXimpO0BoWVsnWfHemtNDz2AO108jLZDK2HzjK7N35tT6AnSN8aBPswdqDdU+Ee2tgW5IuZBEX5s4zP51nweB2PLfx7xplZvWL5rPDF/B1U9O5qQ+r9qfUWdcbD8ZitlhYsusMeeW1fR3koWFit+bM21ZzSGBSt+YcSMnneEYJi4e0Z+bGvzBbqnV/n+PGqpG3M2H9ESoNZobdHk5akY59ybX3gZDLYP5dvvTr0rFO+64kMjKSN9Z8y8KDl4ePtCoF/7k/hlmb6p7Q+HhcE5p5KlFj5D+/Vs/J0ijlrLjdk78HPF7nPU2mjWRB4gF++Omn69p0iblz5zJv3rwbLn8ly995l6Zf7KHoeO3VMEoPN+78cB77RtTs3YwYej9yjZoLG3+my0dv8tvwuidPt3p2DOWpmVQM7M69jw+rcW3W9Bn0P1dOzra9te6TyeX0/PYDdg+q/oKMW/YqE9ct5Z0X55A89F9YLk5Cdpk1lsq31wLVQxe+t8cS/+5HhI0ezIqSc6zf8OUNvQcajYb9G77j9GMza13r+d1y9g55Coup9hBmcP/uBPftilvbKEa8Opvff//9htq7GXZ9s4mcSa9iLKug9XPjKTwWT/Edray6PaKaEf3UExyZ8Uad97dcMofhC/5LcnLtXoSGSH0+62IjU1RPH5DJ5WChVrqGa3Et3Y1iL5u8vDyMRmOtnovAwMBaPRyXuNQD8s/yBoPBuvHP1cpcrc5LlJWVUVpaan3VZ4JYRVoCZcl/42sqoizlOGXnT1J+/hTlqacoT42n/MJpyi8kUJGWQEVaIhXpSVSkJ6HLOIMu82x1N2BWMrqsc1Rmp1CZfZ7KnPNU5qRSmXsBfW4a+rw09HnpVBVmYSwrxFRZbvd18Qte+zdPdfJGq6o5P0Uugxl3BvD2f1+u8z6LxcKaZYuZHBdQ61pqQQX3RvvRKtCt1rXBt4WSX6YnjELWrVrO0Fgf9p/LZ0znmsNi6w9f4F99o0jKKaNlgDttgj1q1XVfm2DSi3R89WcabzwYi0ZZ889Bo5QzZ0BrPj9cc3J1bIgnkf5uHM8oYWqPSLadzrYO68hk8MLd0aQWlvOf+2JQyGT8eCKTYbeHE+heuy916h2BfLjk3Trfo3+SnJxMRWo8XZpc1lJhMJGQXcajHcJqlY8OdKdrM1+0FdmcO7qPXs09AdAbzezTKWk6Y3ytezzatER2dxybt26tdU0o3li8iPDXn0HlVdNHMqWSzivnk/h+zXFut+bhNB/9MKlfbcFYXkHBnyeJmlJ7bph3u1YE9boTz8F9+feid2pd/2DtavyeHo5raGCtax3e/BfJH1fPSQvsfSfERrJnzx7eXrGMqAX/ujzn6yIuQf7EPD+Bs6u/xiOqGS5D7uarbzfe8Hug1+v5ZtcvNHm6dpCYuXUPnZe/XqtN15AAWs8cj29cO1KrKgQJRgD++97/EfXebGRKJclrviHmufHINWrr9dKkFBQaDSH39qx1r/89PTgrq2o0wUhDp3peSVX1xNibCEbsheirbA4cOMCRI0es3W8AJ0+eZNOmTXVOan3rrbd46KGHiI2NtZ5btmwZHTp0sHYFfvHFF3h4ePDAAw9Yy/z0008UFRXVOalVyFU2Xbt2Zf/+/Tat09HoFHcHb/9vOadLFVyokBOkMdNGW8H/zXuVHT9fO93wxClPMWzcZA7lmikxyojxsuBjLOKl6VOZ+8bb+LW8jT0ppWjVCvpGB6A2VxF/9BBPTRhNaWkpM2fN4d5HhlPl4kOAp5ZdiTkUVRpo7yMjUKEjtGlz/sysoKmvlkqjiZ2JuWhVCvq2CqRIV0V+uYEekX5kFZbi4uLC0QtFJOSU0sLfnTsifHBTKSjVG9l8KpNKg5l+rQJRKeT8kVpAr5YB+LgoOZRayNG0YkK9XInzs+Dl40ulXg8qF9zUKn4+nU1FlZGB7UI4k1vGvnP5eKssdA6Q8+nKpaxdueKa79GVqFQqFi5dQdO2cfyRZ0EmkzOgdSDeWjVlVSZ+TcihTG+iRws/mniqSPz7KJNGDaOkpIS331tK67huHMy1YLLIGB7pimdhAWmfbsJSVoGmdxzZLnJGTZ9GUdGN55GB+n/O27Vrx8o338F8LAHTiWRkTYJw7XMHR5NOc3vzKCq27sNcWIKmW3v84m6jPC+fkm9/gSojLv3uRNMsFEVZJaWb92IsKSX03l5omgaTo69g1tvz+fmXHXW2+//t3XtQU+e6BvAHJCBXERGCVgE3CIJbdBALnnKLou20yq22trqL1FHrnNNqLyKjneLUjjrDqNXipdqa6oyX3aOjwCjUoY2igiJIKxVQKqQol7gVVBASyPE9f1iokSQQbgvI+5t5ZnTlW8n35osrn1k3V1dXHNz+DYbLFWjJK4L1uDFwfft1PMi7jvuXCzFu4et4ZC3Cy6/Nad82xC18F6vfi8eTs7lQmZnipYkeGOHjgcr/PQN4uaLO3hL/WvXf+M9/Oh7k2ZkvPl2D6GAJlGdzoX7YgDGvhsDSxQlKMxNY2dqg+ngmnsirMPoVfzjO8AOsLZFf8jti4/6FJ0/6bidx1Otv4Iv/WY2mX/JgrlLD9s3ZML1ViXtZuTBxdoDNqzPxUKmEbXMrmjIvASYmsJr7XyhUVGJlwmcD91ok3WAM23Rt9NU95E77/eCDD5Cbm4vly5dj2bJl8PX1RWVlJTZt2oSxY8ciLi4OwN+n/X777bfYv38/goKCsHfvXo3TfoOCgpCdnY3169cjNTUVkZGR+OqrrwQ57TcgIABXDbymw2A1Y8YMuLm7o6a6GiqVqssX/TI3N0d4eDhG2Nvj+m+/obT0790j48aNQ1hYGLy8vFBaWopz587h7t27GusPHz4cEokE9vb2sLS0xOPHj3Ht2jXcvv3sNN433ngDUdHRcBg5EhVyOQqvXUN4eDicnJxx4UI2kpOTERwcDLGLC2xtbPD0KUEsdobI3By1tbUoKS6Gg4MDRCIRFAoF3N3dMWHCBJSWluLixYtwcnJCUNBMjB7tiPv37+PAgQOwtrZGcHAw7Ozs4O3tDTMzM5w+fRoKhQKTJ0/Gw4cPIZPJur2hHjVqVPv+9fLycnh4eMDExAQWFhbw8fXFncpKZGRkQC6Xa6xnb2+PsLAwDBs2DBcvXkRDQwMkEgksLS2Rl5eHP//UfQCwPr31Off394fHP/4Bxb17yM7OxtOnT2FhYQGJRAIbGxv89ttvuHXrFuzs7BAeHg6RSIScnBxUV1fD2toaEokEvr6+aHj8GNeLinDx4sW/dnnq5+Pj0z4utbW1WLRoEUCE/d99hz/+6HiAtZmZGcLCwjDln/9E9oULcHJygrW1tcbnrrusrKwgkUgwymEULIZboK6uDjk5Obh37x5mzZqF8LAwODk7o7S0FIcPH+6Xgw0BwNTUFCEhIXB2coLpsGEoKiqCr48P6urrIZPJoFar4ejoiJCQZ7+UnD9/Xuft6gczY9qmP09f3b35HUpCZ+XKlVRRUUFKpZLy8/MpODi4/TGpVEoymUyjfUhICBUUFJBSqaTy8nJasWJFh+eMjY2lkpISUqlUVFxcTNHR0Tpf38rKirKyssjKyqrXa1u/fr3g768Q4bqNK1y3ccVY6zbm2vXV3VvfoYJfhwR4dpTunj17tD4WHx/fYVl2djb8/f31PueJEydw4sSJXukfY4wxxvqe4DMvodOXv5A4ODgIXp8Q4bqNK1y3ccVY6zbm2vXV3VvfoYKeZWMMnj+w1phw3caF6zYuxlo3YLy190fdPCHpQ+bm5liyZAnMzc07bzyEcN1ctzHguo2rbsB4a+/PugX/KUjo9NUuG1tbWyIisrW1FbzG/gzXzXUbQ7hu46rbmGvvrG7eZcMYY4yxIYMnJIwxxhgT3IA47Xeg0Hafm54+n1qthqWlJf5Py30ohiqum+s2Bly3cdUNGG/tndXdW9+dgl+pdSAYNWoU/v3vrt0EizHGGGMdvf322z26Oi9PSP4yatQojTv9MsYYY6xrLC0te3yrAJ6QMMYYY0xwfFArY4wxxgTHExLGGGOMCY4nJIwxxhgTHE9IelFFRQWISCObN2/udL2kpCRUVVWhqakJMpkMPj4+/dDb3uHq6orvvvsO5eXlaGpqwh9//IENGzZAJBLpXU8qlXZ4r3Jzc/up1923cuVKlJeXo7m5Gfn5+XjllVf0tg8JCUF+fj6am5tx+/ZtrFixop962jsSExORl5eHx48fQ6FQ4OTJk5g4caLedUJDQzuMLRHBy8urn3rdc0lJSR36X1NTo3edwT7WgPZtGBEhJSVFa/vBPNbBwcFIS0tDVVUViAiRkZEd2nRn2xwTE4MbN25AqVTixo0biIqK6ovud5u+us3MzLBlyxZcv34djY2NqKqqwsGDB+Hi4qL3OePi4rR+DiwsLAzun+CXpR0qqaiooM8//5ycnZ3bY21trXedhIQEevToEUVHR5Ovry8dPXqUqqqqyMbGRvB6upK5c+fSgQMHKCIigtzd3WnevHlUW1tLycnJeteTSqV05swZjfdq5MiRgtejL2+99RapVCpaunQpeXt70/bt26mhoYHGjRuntb2bmxs1NjbS9u3bydvbm5YuXUoqlYpiYmIEr6WrycjIoLi4OPLx8aEpU6ZQeno6yeVyvZeIDg0NJSIiT09PjfE1NTUVvJ6uJikpiYqKijT67+joqLP9UBhrAOTo6KhR86xZs4iIKDQ0dMiN9auvvkobN26k6OhoIiKKjIzUeLw72+bAwEBqbW2lxMRE8vLyosTERGppaaEZM2YIXm9X6razs6OzZ8/SggULaOLEifTyyy9Tbm4uXb16Ve9zxsXF0cOHDzU+A87Ozt3pn/Bv0FBJRUUFrVq1yqB1qqurKSEhof3v5ubmVF9fT8uXLxe8nu7ms88+o9u3b+ttI5VK6eTJk4L31ZBcvnyZdu/erbGsuLiYNm3apLX9li1bqLi4WGPZnj17KCcnR/BauhtHR0ciIgoODtbZpu1LasSIEYL3t7tJSkqiwsLCLrcfimMNgLZv305lZWVDeqwBaJ2QdGfbfOzYMTpz5ozGsoyMDDpy5IjgNXa17hczffp0IiKd//ECnk1I6uvre9wf3mXTy9auXYv79++jsLAQ69at07vrwt3dHS4uLjh79mz7spaWFpw/fx4zZ87sj+72iREjRqCurq7TdmFhYVAoFLh58yb27duH0aNH90PvukckEsHf319jrADg7NmzOscqKCioQ/uffvoJ06dPh5nZ4LxI8ogRIwCgS+NbWFiI6upqZGVlISwsrI971vs8PT1RVVWF8vJyHD16FO7u7jrbDsWxFolEWLx4MQ4cONBp28E+1i/q7rZZ1+dgsG/Pnz59iocPH+ptZ2NjA7lcjjt37iA9PR1Tp041+LV4QtKLduzYgYULFyI8PBwpKSlYvXo1du/erbO9WCwGACgUCo3lCoWi/bHBZsKECfjwww+xd+9eve0yMjKwaNEiSCQSfPrppwgICMAvv/wyYG/r7ejoCDMzM4PGSiwWa20vEong6OjYZ33tS9u2bcOFCxdw48YNnW1qamqwbNkyxMbGIiYmBjdv3sTPP/+M4ODgfuxpz1y5cgXvvfce5s6di2XLlkEsFiMnJwcODg5a2w/FsY6KioK9vT1++OEHnW2Gwlhr091ts67PwWDdnltYWGDLli04cuQIGhoadLYrLS3FkiVLMH/+fLzzzjtQKpW4dOkSPDw8DH5NwX82GshJSkqizvj7+2tdNyYmhoiIHBwctD4eFBRERERisVhj+b59+ygjI2PQ1e3i4kK3bt2i/fv3G/x6YrGYVCoVRUdHCz7m2uLi4kJERIGBgRrL161bRyUlJVrXuXnzJiUmJmosmzlzJhFRd/evCpqUlBSqqKigsWPHGrxuWloapaamCl5Dd2NlZUU1NTX08ccfG8VYA6DMzExKS0szirF+cddFd7fNKpWKFi5cqLHs3XffpebmZsFr7Erdz8fMzIxOnjxJBQUFZGtra9DzmpiYUGFhIe3YscOg9Qbnb4n9KCUlBceOHdPbRi6Xa11++fJlAICHhwfy8vI6PF5bWwvg2ay67c8A4OTk1GGW3d8MrdvFxQUymQy5ublYvny5wa9XW1uLP//8E56engav2x/u378PtVrd4X86+saqtrZWa/vW1tYeX2K5v+3cuRPz589HSEgIqqqqDF7/8uXLWLx4cR/0rH80NTWhqKhI5+dzKI01AIwfPx6zZ89GTEyMwesO9rEGur9t1vU5EHp7bigzMzP8+OOPcHd3h0Qi0fvriDZEhKtXrxq8PecJSScePHjQ7Q3KtGnTAEDn6YIVFRWoqalBREQEfv31VwDP9tuGhoZi7dq13etwLzGk7jFjxkAmk6GgoADx8fEgIoNfz8HBAePGjev01EqhtLa2oqCgABERETh16lT78oiICKSmpmpdJzc3F/PmzdNYNmfOHOTn50OtVvdpf3vTN998g+joaISFhemcfHdm2rRpA3Zsu8Lc3ByTJk3ChQsXtD4+VMa6TXx8PO7du4fTp08bvO5gH2ug+9vm3NxcRERE4Ouvv25fNmfOHOTk5PR5n3tL22TE09MT4eHhXTpeTJupU6eiqKjI4PUE/9loKCQwMJBWr15Nfn5+5ObmRgsWLKC7d+/SqVOnNNqVlJRQVFRU+98TEhKovr6eoqKiyNfXlw4fPjyoTvtt202TlZVFY8aM0XnK1/N1W1tbU3JyMgUGBpKrqyuFhobSpUuX6M6dOwO67rbTfuPj48nb25u2bdtGDQ0NNH78eAJAmzZtooMHD7a3bzsVdOvWreTt7U3x8fGD7lTQXbt2UX19PYWEhGiM7fDhw9vbvFj3qlWrKDIykjw8PMjHx4c2bdpERDRgd8dpS3JyMoWEhJCbmxvNmDGD0tLS6NGjR0N6rNtiYmJCcrmcNm/e3OGxoTTW1tbW5OfnR35+fkRE7dvvtrNJurJtPnjwoMZZdkFBQdTa2koJCQnk5eVFCQkJA+60X311Dxs2jE6dOkWVlZU0ZcoUjX/zIpFIZ91ffPEFzZkzh9zd3cnPz4++//57amlpoYCAAEP7J/wbNBQybdo0ys3Npfr6empqaqKSkhJKSkoiS0tLjXZERHFxcRrLkpKSqLq6mpqbm+ncuXPk6+sreD1dTVxcnM5jTHTVPXz4cMrMzCSFQkEqlYrkcjlJpVJ66aWXBK+ns6xcuZIqKipIqVRSfn6+xumvUqmUZDKZRvuQkBAqKCggpVJJ5eXltGLFCsFrMCS6PP8ZfrHuNWvWUFlZGTU1NdGDBw8oOzubXnvtNcFrMSRt15xQqVR09+5dOn78OE2aNGlIj3VbIiIiiOjZtUVefGwojXXbKcsvkkql7W062zbLZDKN9gAoNjaWSkpKSKVSUXFx8YCbnOmr29XVVee/+eevRfNi3du2bSO5XE5KpZIUCgVlZmZ2ON6uK+G7/TLGGGNMcHzaL2OMMcYExxMSxhhjjAmOJySMMcYYExxPSBhjjDEmOJ6QMMYYY0xwPCFhjDHGmOB4QsIYY4wxwfGEhDHGGGOC4wkJY4wxxgTHExLGGGOMCY4nJIwxwVlYWODatWsoKyuDnZ1d+3JnZ2fU1NRAJpPByckJlZWVuHTpEszM/r5R+aRJk9DY2IhDhw4J0XXGWC8S/GY/HA6H4+HhQY8ePaLjx48T8Oyus1lZWVRbW0tisZgA0MyZM6mlpYW2bt1KAMjS0pJ+//13Ki4uJisrK8Fr4HA4PYrgHeBwOBwCQAsWLCAioo8++og2bNhAarWaZs+erdFmzZo1REQUGRlJUqmUnjx5QpMnTxa87xwOp8cRvAMcDofTnl27dpFKpSK1Wk1ffvml1jbp6enU1NRERETvv/++4H3mcDi9EsE7wOFwOO3x9/cnIiKlUkmOjo5a28TGxhIRUXV1NYlEIsH7zOFwep5h4qP4dAAAAVtJREFUADaAMcYGACsrK2RmZqKurg4WFhbw8/PDsWPHNNqIxWKkp6ejrKwMrq6ucHBwQGZmpkA9Zoz1JsFnRRwOhwOADh06RI2NjeTj40MxMTFERLR69er2x01NTUkmk1FNTQ05OzvTJ598QkRE0dHRgvedw+H0OIJ3gMPhcGjp0qVERBQXF9e+bOfOnaRSqSggIIAA0MaNG0mtVpNEImlvk5qaSnV1deTm5iZ4DRwOp0cRvAMcDsfIM3nyZHry5AlJpVKN5ebm5nT16lUqLy+nN998k9RqNSUlJWm0GTlyJMnlcrpy5QofT8LhDOKY/PUHxhhjjDHB8JVaGWOMMSY4npAwxhhjTHA8IWGMMcaY4HhCwhhjjDHB8YSEMcYYY4LjCQljjDHGBMcTEsYYY4wJjickjDHGGBMcT0gYY4wxJjiekDDGGGNMcDwhYYwxxpjgeELCGGOMMcH9P74Q6pGJyQVwAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ]
    }
  ]
}