{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import pandas as pd\n",
    "from sklearn import svm, linear_model, model_selection, preprocessing\n",
    "import matplotlib.pyplot as plt\n",
    "import patsy as pt\n",
    "\n",
    "sns.set(rc={'figure.figsize':(10,10)})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4. Generate a simulated two-class data set with 100 observations and two features in which there is a visible but non-linear separation between the two classes. Show that in this setting, a support vector machine with a polynomial kernel (with degree greater than 1) or a radial kernel will outperform a support vector classifier on the train- ing data. Which technique performs best on the test data? Make plots and report training and test error rates in order to back up your assertions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Generate some data with non-linear seperation\n",
    "\n",
    "def gen_y(x1, x2):\n",
    "    return x2 < (-1 * x2) + (-x1 ** 2)\n",
    "    \n",
    "# train\n",
    "x1 = np.random.normal(0,1,100)\n",
    "x2 = np.random.normal(0,1,100)\n",
    "train_df = pd.DataFrame({'x1': x1, 'x2': x2})\n",
    "train_df['y'] = gen_y(x1, x2)\n",
    "\n",
    "# test\n",
    "test_x1 = np.random.normal(0,1,100)\n",
    "test_x2 = np.random.normal(0,1,100)\n",
    "test_df = pd.DataFrame({'x1': test_x1, 'x2': test_x2})\n",
    "test_df['y'] = gen_y(test_x1, test_x2)\n",
    "test_x = test_df.drop('y', axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "naive classifier error: 0.33\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the training data\n",
    "sns.scatterplot(x='x1',y='x2',hue='y',data=train_df)\n",
    "\n",
    "# calculate the naive classifier's error\n",
    "print('naive classifier error: {}'.format(train_df.y.sum() / train_df.shape[0]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "linear model training error: 0.09999999999999998\n",
      "linear model test error: 0.17000000000000004\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Linear kernel\n",
    "\n",
    "# plot the points\n",
    "ax = sns.scatterplot(x='x1',y='x2',hue='y',data=train_df)\n",
    "plt_x_min, plt_x_max  = ax.get_xlim()\n",
    "plt_y_min, plt_y_max  = ax.get_ylim()\n",
    "\n",
    "# obtain the hyperplane\n",
    "train_x = train_df.drop('y', axis=1)\n",
    "clf = svm.SVC(kernel='linear')\n",
    "clf.fit(train_x, train_df.y)\n",
    "\n",
    "# obtain the coefficients\n",
    "coefs = pd.DataFrame(clf.coef_, columns=['x1', 'x2'])\n",
    "coefs['i'] = pd.Series(clf.intercept_)\n",
    "\n",
    "# plot the hyperplane\n",
    "x1 = np.linspace(plt_x_min, plt_x_max, 2)\n",
    "x2 = (-coefs['x1'][0] * x1 - coefs['i'][0]) / coefs['x2'][0]\n",
    "sns.lineplot(x=x1, y=x2, color='tab:gray')\n",
    "\n",
    "# plot the contours\n",
    "xx1 = np.linspace(plt_x_min, plt_x_max, 100)\n",
    "xx2 = np.linspace(plt_y_min, plt_y_max, 100)\n",
    "xx1, xx2 = np.meshgrid(xx1, xx2)\n",
    "zz = (coefs['i'][0] \\\n",
    "      + (coefs['x1'][0] * xx1.ravel()) \\\n",
    "      + (coefs['x2'][0] * xx2.ravel())).reshape(xx1.shape)\n",
    "plt.contourf(xx1, xx2, zz,cmap='coolwarm', alpha=0.5)\n",
    "plt.colorbar()\n",
    "\n",
    "# plot the support vectors\n",
    "sns.scatterplot(x=clf.support_vectors_[:,0], \\\n",
    "                y=clf.support_vectors_[:,1], \\\n",
    "                color='black', marker='+', s=500)\n",
    "\n",
    "\n",
    "# evaluate training performance\n",
    "train_error = 1 - (clf.predict(train_x) == train_df.y).sum() / train_df.shape[0]\n",
    "print('linear model training error: {}'.format(train_error))\n",
    "\n",
    "# evaluate test performance\n",
    "test_error = (1 - (clf.predict(test_x) == test_df.y).sum() / test_df.shape[0])\n",
    "print('linear model test error: {}'.format(test_error))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "polynomial model training error: 0.15000000000000002\n",
      "polynomial model test error: 0.29000000000000004\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Polynomial kernel\n",
    "\n",
    "# plot the points\n",
    "ax = sns.scatterplot(x='x1',y='x2',hue='y',data=train_df)\n",
    "plt_x_min, plt_x_max  = ax.get_xlim()\n",
    "plt_y_min, plt_y_max  = ax.get_ylim()\n",
    "\n",
    "# obtain the hyperplane\n",
    "train_x = train_df.drop('y', axis=1)\n",
    "clf = svm.SVC(kernel='poly', degree=3)\n",
    "clf.fit(train_x, train_df.y)\n",
    "\n",
    "# plot the contours\n",
    "xx1 = np.linspace(plt_x_min, plt_x_max, 100)\n",
    "xx2 = np.linspace(plt_y_min, plt_y_max, 100)\n",
    "xx1, xx2 = np.meshgrid(xx1, xx2)\n",
    "zz = clf.decision_function(pd.DataFrame({'x1': xx1.ravel(),'x2': xx2.ravel()}))\n",
    "plt.contourf(xx1, xx2, zz.reshape(xx1.shape), cmap='coolwarm', alpha=0.5)\n",
    "plt.colorbar()\n",
    "\n",
    "# plot the support vectors\n",
    "sns.scatterplot(x=clf.support_vectors_[:,0], \\\n",
    "                y=clf.support_vectors_[:,1], \\\n",
    "                color='black', marker='+', s=500)\n",
    "\n",
    "\n",
    "# evaluate training performance\n",
    "train_error = 1 - (clf.predict(train_x) == train_df.y).sum() / train_df.shape[0]\n",
    "print('polynomial model training error: {}'.format(train_error))\n",
    "\n",
    "# evaluate test performance\n",
    "test_error = (1 - (clf.predict(test_x) == test_df.y).sum() / test_df.shape[0])\n",
    "print('polynomial model test error: {}'.format(test_error))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "radial kernel training error: 0.020000000000000018\n",
      "radial kernel test error: 0.050000000000000044\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Radial kernel\n",
    "\n",
    "# plot the points\n",
    "ax = sns.scatterplot(x='x1',y='x2',hue='y',data=train_df)\n",
    "plt_x_min, plt_x_max  = ax.get_xlim()\n",
    "plt_y_min, plt_y_max  = ax.get_ylim()\n",
    "\n",
    "# obtain the hyperplane\n",
    "train_x = train_df.drop('y', axis=1)\n",
    "clf = svm.SVC(kernel='rbf')\n",
    "clf.fit(train_x, train_df.y)\n",
    "\n",
    "# plot the contours\n",
    "xx1 = np.linspace(plt_x_min, plt_x_max, 100)\n",
    "xx2 = np.linspace(plt_y_min, plt_y_max, 100)\n",
    "xx1, xx2 = np.meshgrid(xx1, xx2)\n",
    "zz = clf.decision_function(pd.DataFrame({'x1': xx1.ravel(),'x2': xx2.ravel()}))\n",
    "plt.contourf(xx1, xx2, zz.reshape(xx1.shape), cmap='coolwarm', alpha=0.5)\n",
    "plt.colorbar()\n",
    "\n",
    "# plot the support vectors\n",
    "sns.scatterplot(x=clf.support_vectors_[:,0], \\\n",
    "                y=clf.support_vectors_[:,1], \\\n",
    "                color='black', marker='+', s=500)\n",
    "\n",
    "\n",
    "# evaluate training performance\n",
    "train_error = 1 - (clf.predict(train_x) == train_df.y).sum() / train_df.shape[0]\n",
    "print('radial kernel training error: {}'.format(train_error))\n",
    "\n",
    "# evaluate test performance\n",
    "test_error = (1 - (clf.predict(test_x) == test_df.y).sum() / test_df.shape[0])\n",
    "print('radial kernel test error: {}'.format(test_error))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "5. We have seen that we can fit an SVM with a non-linear kernel in order to perform classification using a non-linear decision boundary. We will now see that we can also obtain a non-linear decision boundary by performing logistic regression using non-linear transformations of the features."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(a) Generate a data set with `n = 500` and `p = 2`, such that the observations belong to two classes with a quadratic decision boundary between them. For instance, you can do this as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Generate some data with quadratic decision boundry\n",
    "\n",
    "def gen_y(x1, x2):\n",
    "    y = (x1 ** 2) + (x2 ** 2)\n",
    "    return  y > y.mean()\n",
    "\n",
    "x1 = np.random.uniform(0,1, 500)\n",
    "x2 = np.random.uniform(0,1, 500)\n",
    "train_df_5 = pd.DataFrame({'x1': x1, 'x2' : x2, 'y': gen_y(x1, x2)})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(b) Plot the observations, colored according to their class labels. Your plot should display `X1` on the x-axis, and `X2` on the y-axis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "naive classifier error: 0.47\n"
     ]
    },
    {
     "data": {
      "image/png": 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zP0/Rj0feVk25zHr339P/x+8RFQdJL9qP/KFnU5zh3SscG5J4CBQKi6oe22YJo3GU0hQCl9Rh7yV7iE8kXIqhaMoHZBOkzRA69OsB2mbBhjU0eYmYhrIsidz4CuuuuKQ+VnriNuZ99N8YisYf2HqhoOWI96BqJSrPPYDd0kXHKZ+kpkyQbExMytUM3f6beoAG4K9fRdj3Clb7olgEBV4kcTqXMPv9lyIEhNqiGDhNeWMcK9fS2IMvs/7ay4jKG3Hn7ErXmRdTkpkdol1XnGnNpvZ2zbVR4I1MkDZT2AmsbGt9az4MF3YNdfwKV8aFKwIK9/5uxJiqFvHWPoc1e89x1zLTerh/avYdH6ft2I+iNNRImuVmY0IStsL2CkSlwVH/FpU3IjpGdo2YTkGoCEbcFONxXI2SlD5rf/Mv9Qdkf90qBq7/L/Inf4bKDCoKbdsSBx8Q+NqOxUPBjsLcwWeIqkow+z1fwp21MwDJnZfTceqnzRb2t6CFqFfbfz1hb72kwZi+p9ZUQ4tC4FIKXROgGROW0DX6/vCfZFe8fcS4sF1SOy8359g0Gi64O3IFo7bmGSwxc5LwUnaEO/ACheu+TfHG/yRVW0/CNkHaVJk5of4OLow0FaeT9nd/AUtCqCQl5Zgp97fgRxatR5xL5YWH643Gnfa5OLN2oeqb1217WZYkJWrITedhLUbnoWVJHKnQSLwg/sGNbUtqrzyFv/YFotIgXad9muLjtyKTadqOPI+Kau6lnGYn3BTCdtHhlromie7FRLr5KttvjZQCWVrPul9+pT5WXfU43R+/DF9kt3uTlTF2JkibQaJIvaGSvfkEvRWlNF6ine4LL6Py7L1YmTYSO6+gFDbfDqC4sCxBOuhnw7Xfxu99heSC3ek47dOUmP4cnbQTQv+rlB65Cat1Fi37n0JJpWLRouvNKKVx22YDMPDnn5CYt4j0ov2x2+cSJNoJzMPEtKppl64zL2bD7y9DVUs4XQvoOOkiSsphJlxDXBuKD/1x5KCKqDxzL87yE/CnoED4js4EacaMJQS4ro3W4L9JVUw/FPhkcHY/nkhrCm9RHNTYtrT0WP+rrxIVBwCorX6aDddcRts7/47yNC6927ZE9TxF39Xfqo+Vn7qLOR/8FwrbsUlkqiilkS1zSO22H9UXH8Jb+zxhsZ+57/9nCoE5T6ebHwqczkXM+ci/IVSEEvZw/9sYB/7joRBYuY5R41aunSgms+MznQnSjBnJtRRJVaJ4/5+QiSwtK46ipJJvmvDaiKK6O6TIrwdom3k9z2KJ6b1pubrG4H3XjBiLigOEg68hc7tM+yzfWymHDq0nfoI2v4wOashMOyWVRDdh9fSZKAh5w2aJmfO++L6iZb8TKT9xK1F5CACno5vEzis2PdAajWaCNGPGkVKQCIbo+cHf1QtrFh68jnkf+eZ2ldYwxk5YDiKRRr+uVITTPg+lp7sWjEA6o/O3pJOIfV6N1lAKHBCtiAToAGZSIGDEW0mlmPPhb+CvX4W0XeyObpMSMoXM7s5J4jqCpK1wnJmRMNrMXEsP98p8XeVzVSlQXfUYtm1O+UaqaZeud34W4SYBkOk8ne/8LDWS03pcHglaj3ofiC3vvzt3N0S2o6nqeDXRoW63pB3R4tTI6Y3kHR/Lmu4Af8cWRZqC7xJ0LqXWspCCv+0uF8bkMTNpEySlIGd7FB++Eb93FZllR5LdaTkl37y0U0FKgWMLNIIgiHaIm1ic+aHA7VjEvAsu29RDNkFFJaa9TEQUKcLMXLov/Hcqzz+A3TILd97iGT8jkEjY+H7YNJ+LlB0SPHUrfbf/ArTCyrQy+31fpixbmzYwEAJSVogtIjSgotR0H9J2MbXRpoeJJCYoY3ms/+VXCTasBqD6wsO0HnkeiRUnbuqZZzRKwopwvEGK91yHTOXJ7XciFZ3Gj6DlkDMoP313fTZNpvOkdt2LIZNH0XB+JPCjBJCAYLqPZgsvkvgii730WAKlqU1gk4htSxLUkGgCkaAWo9/TsgRZWWPwrhuJqiWyex+Hb2XxovjPIjv49N52BZvfl6i8kYEbL6fllM82bXHYnBMweON/U3n+IWQyQ8cJHyXZvSe10Ky6GNvWnGd9nATVeoC2WfGh65m9/Ci8KWxHIYQgaYU4IiLSUNPJWJcWmCjLEjjVPl770T+w+YJeeuzPzP3ov1EIEnhOC90XfJviozcjkxmyy99OKdr+IrXGzKD1xDeJJCyFNbiK/pv+l6g8RHavY8gdcDrFmMyeZy2PtT+4GFUpAFB48HrmfeQbBHZHrGejhABVLvDGz2jQvwZJRDPerhIOlB74PZXnHwRA1Ur0XXMZ3Rd9hxqZaT46oxnE/9Eq5oQ1+sIh3NSUhgJCCPKOR+lP36Pnvz7JwG8vJe33YcfgQW24DIZFwpXISWwk6shoOO/sda+0qpXwXl2JbUv8SFIkh3vg2VgrTmYoME2PjcmREJtmz/t7ULUShfuupfrUHbjO9l1ObVtiWZNzKbZtSe3lJ+oBGgAqYugvv8W14n3+aw0y145wRuYvphcdSCgau+FHCEjbIXm7Rt6pkbQnZ7e3rX2qLz8+ajzofdnk2hljYoK0CYqES3rJwa8bEbQf8wE8MXV5BykrYODG/xl+WotC/HWrWPeLL5OW/rb/cwNZliBv1wgevIraHT8g7fVO2sUPBMLeSt0ta8uY1uB54ZvWSDOM8bIsiffaC/CG8heVZ+7BVrVxfS/bEsOJ8T0P4/Q9Rd4NJvVBZqTmCAiqymXO+V/Gnb0Lwk2SXXEU+cPPxgsbe/w5N6T4p/+m57ufoOd7n8J76BoyzsTXsKWUJOYtGjXutM9rmjxBY3o13/xxzFQih5ZjP0puvxPxe18htXBvAjtLMIUtZ2yhqLz4yIgxVSmggxowfSUnspbH2u9fjKoWASg9fjtzPvA1rMz8CS/F+pGk5dB3U37mXoiGgzA730Vi/lJTv8doGKU0TvvcUeNO104o6cAYn0GEgDRlXvv+51C10vD3aJ/LrPd+hYK//UV/w1CR2WUFVqalXtcKaQ3naEbxacT+ZoIQdGou7Wd9Hik0AQ5FXzY0oHEcSfWZe6g8/8DwgIoo3Hct6cUHIjMLJrREHCnI73sCfu8reD3PISyH1sPOAmmZIM0YExOkTdDmGkYyvytW226Uwgg9xRM3kQa3awH++pe3DFo2wpm+xG3bltRWP10P0IZpCn/5LZnjPkk0wUlcpTSe3UL3xy+j8vQ9iFSO9G77UoqSmBpSRqNordHJVnL7HE/xkZsAsFtn03LY2RTHMdvjOoLCvX+oB2gAwcBreK8+iT1/3wnthi1FCeZ+6OtUnrqTsFIkt/c78GQO1STL/WGoCKfw4dIioryVJUlvzTNYy3ZGqe2f/fe0i1Sa/D7H4bzjA2itqa15Fm2n0DNwY1nSVrgiAK0JsalGwx1fHMdCaz3tu7ybkQnSJolSekIf5omo6SSdp/wV637x5eGgyLLpOPFCPD19bXi0Hi5s+kbCdhBicpYu/Gi4pZO7/ES0hiE/wgRoRqOVA5v0IeeQP+Rd6DAAJ0V5nB0AhNao8sZR41FlaMKfjyjSDEUJug49g0KhStEP0aahxpuKsEjutl89uX+z5E7LqUxwxj+KFEGqg8T8NJUXH8JumUV+r6MZrNrEfVZzvNJ2iLfyZjbcfRU6CkgvOoD2Ey9Ehx6VZx/EyraRnr87pTA+ddZSdoQrApRfJSyF2JZDGLOHGROkzQBRpKgmOpn7kW+igxrCSeIpBy+cvpTDKFJk5r0Nu2UW4VDv8KBl03LY2ZQjyWReoEyT35lBShGbi/e2VEKb+uVzOzoABEqQO+BUyk/fUx8TlkN60QEUJrFFmeeZfMxtCQJF/m0HkN3zOUpP3I6wHVoPPQuV7URt52yXEOA4w4GY54NHBmfx0QRKY2Uy6Epxm9+jmUgpkNUBNt7xy/qYv2E1qtDL2p99qZ6S4nQtYNa5X5rQkv5kSdkh/pO30Hv7LwCNTOeZc/5XqVitsdpkZoK0GSKMoBCz2lTlKMns9/8TtZceISoPkVl2GDXSTbPsYkwNx4aU9AkH12FlWlBOmnIw/RfxRooiTZSdzZzzv8LQX65GuklaDj+H2hRuODK2KPg26cPPp+WI9wDg41IJtm9G07U0SSqUHr0N6aZoWXYYpSg5o/sDW5bEW/PsiLHsHoez8e6r6gEaQNC3mnCgB5nfddofyBz8eoAGw3ncwzX5/poK8bn+mCDNaJgoUhQiF2fXQ7EEFE1HAOMNLEuQ9AdY+5PPo/0qANk9jyF7+HmUw/hcKBuhFlpYuV3InfhXaATlSKLC6f2ANNNs5mSrhhZVJla3SEpBIhqi5/t/Ww9OCvddw9wPf2NG9w0OQ0VmwdIRY8J2UYE36muVX9u0pD9955kQbCpTs5WafONIW5gKpgSH0XBBEOH7JkAzRkuIgIGbf1AP0ABKj9+CDCtv8b9mjihSVANJLZje4ChpK/J2jWRhFXm7StKaubM+jeRaUPjL1SNmj6LyENVVj2LHoXBlg2itUclW2o56H8J2AYHyqrQc/M4RXyfTedw5C6e90LrWILPtCHfkzHV68YGEMl7BtJlJM8ZMCEHC1oAmUNa0f9BmMikFCRli6ZBQuHiRmJFBrtAR4dCGUeNRpYDItDZV8/Nm5drAa0/Rc/W3NtV/E3Sc8kkSO+/f8PpkM48eVUMPQCvFJO2Xiq1K6JBcdizz9jgS0IR6OLyYc/5XKT54HVauYzgPMyadX6qRy5z3fZn+P/4XweA6sksPJn/o2RS3c5m7UUyQZoyJY0FKFxm687eoWpH8gaej8vOomv5zk86yJBlKDN78I7x1L5HadU9ajziPQuDOuKAllAmyy49k452/qo+JRBq7ZdaMLFEQRwnhse6G/3pdcKEZ+NP3mXfBnlPa2m4m8CNB/uB3Unrqri19g5NZ0gv3YWgG56RtVgsFtTecM1ZuZ9Lv+ARaCIqBjs01LIhAJefQfubfI9G4mSwDhSB2D8MmSJsCti1I4iEEBNqh1oRPp2np0XP536H94arqleceYM75X8XK7Wxm1CZZStTo/dXXCPp7ACg9dguqUiB33Cc27SqcObwAcnsdB0JQXnk7dsss2o79EBVtgoOx2jzDLXREgDPuWlQCjaqWRoxpv1YPMhrFsiS2PTxDPFN2aCul8d1W5n3sWxQfvgGZyJDb+1jKKkkcZo+mQxQpogji+PtHkaK8qSZfl5tE65jsunudmXXFj6GErbD6X6LvxsuJyhvJrjia/KHvphCTZsxjYduS6suP1wO0zQr3XUPm+E8SRSa1cTIJ5dcDtM0qzz9E2/HN2WR6W4q+jbviJDqXH43CoqycaU+gbxa2JUhTYujOq4hKA+T2Pxm3ayGVYOznSahtkjsvp/bKyvpYYu5uKNG4jRsZJ0QPvEp55e04sxeSX3porOpnTYQXSnzRSuKQ922q3xgSxwDFaA4z74ofMwk8eq785/pSQvHhG7BybbjLT8RvkuUcrUEmM6PGZTKL2Xsy+YTlICwHHW15qrNy7WjdfDOwY+HYkKKGP7AGO9tGKpGnrMylaSwylsfa//0cqlYGoPrSo3Sd9Tns2SvG/D1qyqHztM+w8Y5fUnv1SRLdS2g96n2UIpdGBBeuI/BfuI+BGy8fHnjidsorb6PjrM9TUjNjR6/Wertr1Nm2JEkNKTSRllTVzAheje1jroQNZFkSf91Lo5sxP3sfbcuOxp/GvprjEUWKzNxFOO3zCAbWAiCcJC2HnrWpFU5zXUCEGE6WFloRYseuVYmvHdqO/RADN/4voEHadJ7ySarMvJZXliVJen30/OQLm3rNQmaPI8kd9QHK45gNahZCCJJWiE1IhEVNOdt9A7YsibfuxXqAtlnx/j/QctoiID2m76OUphC4pA5/P1ntEwmHYmg1LHfI1TV6//K7EWP+ulWIoAK0NORnNgvbgmRtPRuu+TZBfw+J+UvoPP2zlEibQG0HNfOugjGilNpqM2Z39i7jasYcB6XQZdZ7v4y/9jlUrURq172oqCT6DYVpM3aIpT106IOboaKSscpZsyxBRlQo3HsN4VAvuX1OwJ2127iWhxqtFkqSCw+i+5P7EhY2YLfMwlNu7IJoHhQWAAAgAElEQVTJyZAQHgM3/7AeoAGUn7yDlsPOYqbdsKUUZK0qg3/6AbXVT5GYu4j2Ey6gbGW36zOitUYmtjLDncqgxfg29GjNplzZzbmAjQ0IhBx9fEKI2D3vOY6FRUSEJAga//lLSZ/1v/onovIQAN6aZ+n//b/TctrfUJkhs4zG+Ji1qknm2pBzfHKOT8KGyM2TP+A0YHipymmfS8vh5zTd1nalNAXfIZi9ArXLIQwFSd64WSnrBBRv+yE93/sUay//Pwzd+QtyVoW8LJFzPGxr+n/njOWx7sd/T/GhG6i+8DC9v76UaM1KbDteH4VaZFMIU1QzO1EIEihpk0hYsTvOiRJaERb6R41HlcKk9XiNi5T02XDNt6k8dz+qWqL60iP0/uZSUqK27f+8FUpprLa5uHN3q48J26X1yPPwovjuuvZI0Xrke0aMJXdahrLj1W0h54bIVx+gfPN30c/8mXwi3OY5KaXAdS2s7b3WhV49QNustvppbBGz6NWYMvGZPpgB0nZI8OJ9rLvjF+gwJH/AKWT2PYnkAe8kf+Ap6DBA24lxN2OOkzd74pdSoIt9lJ+6G4DUwr3JLjmInh98DlUpYGXbmHXO56kmZk/bzJqUgrC/Z9RFsHj/72l91zLCWC4/a3JuiP/yQ9RefozU2/YnNX8ZxSbaePJWApkku+fRbLz9ivqYTGawW2ej/Zl1Y7KI8NY8M2Is6FuN1AFs57lXDl06z/p7wr5XiEobSe68nKpOxrr1WhAqUvNXMPfDX6f89D24c3YlMX8ZxaAxOXDbI2lrSvdfQ+H+3wNQefZ+qi8+ROvJf/2mnTAyTgCFXmqrHiOxYCmyfQGlcbY3E7aLcJMjNmk5XQuI8dtpNNjMuNLHgJQCWenfkgwLDN1zFe7sXQjn7kU1sIHkdjVjbgZSihE7ElsOPI3eay/b1HoDotIgfb/7N7rO+wqlaQqGtAbpJkeNi0QaRDxnqFJWyNAtP6L81F0AlFbeQW6/E0kedA61MJ7HPB5+oMmtOAYhLUorb8NpnU3r0R+gEpOCl5NJC4mVbSUqbayPiUQapL3dqQ9KaYq+g9W+CNEhKDTJkng1tJGJ2Tj7v5tIKQq+QgiN69porae9z6UrAjY8fOOIsdrLK7F0ADi4tiAhPATg4wACb+WtDL7uYSO3z/GkDjl3XLUka8ql653/h75rvo32q1jZVrpO/+yMzEc1xsYEaZPEtiXVFx8eNV55+h7S3SvYvn0+zSMMFfkFy4aDHa0QtlMP0OpfM7gOOY0XGq01IttJYt5ivLXPDQ9Km7ajzqeqXeJ4EbQJ67OTmxUfuZn8wWeMKhrZrIq+jbvsWDqWHo4SNmVlx3omaHvVdILOUz9N76//ZXjnrrTpPPkianriDy1RNNwJpJkopfH94StjwopwoxLlh27DyrbTsuQgStH05bNqQNjOcG5tnQAhSdkh0SsPs+7Wn6EDj9y+J9Jy4KmsueeqEd+j+OjN5A85c1z9QP1I4HYtZt4F3x7+2XaCqkqMyEfd3I3EJiTExlO22VQwg5kgbZJEkcadt2jUuDt/KZG2aKpdAtvJFylmn/sFBm7+ETr0sfKdRIUtLX+crp2IpjkNshS6dJx5MWHvy4SFPlK77k2NeG1uGEEwvB31dTvtZlquFgzPqPlbSVrffEOSOiSUSbwmKVuzNUGoEW270n3Rd4jKQ1jpPDXt4DdZfupksyyJU13H2h9/vr4TvnD/tcx+/z9TiKYnWd5nOLdv4Kb/rY9l9zqaUDjYtY30Xvfd+njhvmtIzFpAonsJtZcf3/JNtGJ7Amc/FJs+C4lNKy8jPw9ZWWXwT9+ntuZpEt1LaD/+Y5RFelOgbsw0JkibJFGksDt3JrPs8PrSVHLBMtK7H0bBm/kBGkAtkjgdi+k4+4tIWzD7nH+g73ffIujvwZ21M51n/C0VPb3T9lpvWh7qWILoXEohjPd7E2iH3D7HUnz4pvpY/qDT8Cdh9iXuLEuQ0UUGb/4JQX8P6aWHkN/nxKYqBP1GfiTxIxecrk03YMMVARvvvHJEqaJwqI+g92WsjiXT8gDlBZB+28HM7V5M9aVHSXQvRrZ14+Hir3p81NeXn/4LuX2OGxGkpRcdSMjkBpkp6bPhd9/Ae+1FAKovPERfaYCOMz9PaZJ/lhEPzXu1i6Fi4JA96kO0HvU+0IpIuBR9h2ZbhngzCQdc7aGBGqmtloQIgogAFyKw3S46z70EKRRKSyo6PjNWYzkOIQSOY01rjkw1tMgecjapRQdSe+UJUgv3QbbNpxSzJsCNkLE81v3o/9ZzuIbu/g3ar5E88N3UGhjguI7A1TU0Ao/kjCx9EjtbbUo+vQ9QlU15c9byk/CUIgo0UiqScxeO+lq3ezHuTsvpPP2vqT7/AImdlpNafOCkb/CxCOsB2mb+ulVIQphBQdpwqzOFVCGBTExJ+ZO4MkHaJBvurfj6l3VmBGg5N6T88B8ZeORGZDJH+3EfxurY7S23+oehesMmgeb5oCWtCCcYovTobditc8gvOmDa2taUAgerfTFO11K8KCJq4iW/8dDV0ogke4DSk3eQPeC0huXj5dyQ6spb6XvkJmQqR/uxH8LKz8ebAZs04srXDi2HvZvqS4+x+Xpp5dpx5yyk5m//NUMIQdoKsAhACEJtj7v3rVIa9bpgUSmNbJ1HdsXRlJ64FYDEvEVkVhxDoSqw5+9Peqd9ibRsyAqKFhKZzo/I95XJbCw3PlmWJC1r4JURtktkJcZUoNqyBBnKbLz9V4QDPcPFrZccOmN2tI/XjvlbG+PiOJLaCw8wtCkxVlVL9F55Kd2f+A88stN8dJPPtiVycBVrf/EVNt80nAevo+u8f9w0Mzr1hpsUN0+QOxlEYnTdLDvfgaIxs4iOI/FefJDB234+PDDUx7orvkz3hf+BN8bq/duSdDQuAZrhvCfPLHkSRYowN5d5H/0GxUduwsp2kN3zKErRxFIjcm7AwB/+neqqxwFBdu93kDvsPZQmWLi6FDhkjngfLUecA0qhLJcAh7TlEwmXmg+NykGu6QSdp3yK3t9+A6JwUzeST1HT8dpEJARkZZV1P/8S4cb1AGSWHUb+6A9tsyxJRnqs+8n/JSoOAOCtfYGWWpnEniePKSd18+rHTJkBN0GasU229ik8ffcbRjW11U9h73zwjPkwbOZqj413/pLXz4IG/T2ooV5kZr7ZSTVFQhxyB5xC8YHrgOGepu3HX4DXoHIEtvYprLxj5KAarm1mL9h/wud51gmpPHI9Gx64DiEtWo84l/Tiw8Y9uzMTeaFF4HSROOwDr2tKvv2vt+NIKk/fvSlAA9CUHr2ZzLIjsFp2mXCS/eYVEykFOeFRuvsKvJ5nSe66F/kDTqMYODSiq1YQguxaRPcnvoOqFJDpPJ5y8GNWPsC1Yejeq+sBGkD5qbvJ7X8KMt39ltdQVR2qB2iblR69mVkrjsF7ixl0x4Y0NSovPoyVzJCevzvlKNH0GyrM1cHYJiVsnFk7U3tl5Yhxp2M+1ZkasGzlCtusBYibVSW0SR9wBrl9jicq9GN3dFNrYHssLWzsjnmw+qkR43bbHIIJnue2LQlfe5ahe347/LOAgZt/yJx5i7Z509pRKLX9TcnfyEJRXv3kqHFvzTPItoVE0eTMdKWlR99V/1rPE/N7XyEcfI3csRc2LPj2QjkcrDRw84ltS7TW2x3gSBUSbFg9ajzo70Fm3/pBV7qjZ9CtbCv6LWbQhRAkoyF6fnAxOvCA4c/t7Pd9ddp2CE+W+C1kG7Hjh9By0Ok4Hd31sczyoxC5rhl5c/FFgpbDzh4xZrfOxm6dMyN/3zirhDZFWqi17kYhSOBHjdsw4YXQeui7sXId9bH0koMn5Ty3pabyzD2jxqsvPoRtx7eFU7OKsEgvPmjUeGrh3pOaNiB1MCqRv/Lcg9gi3rvG34xrafJ2FfnyvbgDz5Nzg+0q+RNKl8yyw0cOCklywbJtPmRFMklmjyO3DEib9mM/smkGfesStqZw92/rARoM1+X01z6HZTV3mGNm0oxt0hpKUZKu91yCCGtgOYQ425XbkXDAUj6RjG8+ThgqnM6FzP3Qv1J67Gbstrlklh1OKYpP25odzVQEx1pDSaeZ84FLUZUhhJNA2alxt/bZmkhLEguWjSpMnOhegr+D5RpOhSCIyO28F7n9T6H0yE1gO7QdcS4q3YEKJ/FckjbCcoaLE28eSmWb8iphWQLX66Pnx/8wnO8GJOYtpuOMiymO8zMQBIrcbvvTcsS5lDZvNjv2w/hi2/1Zy6FN/qj3kz/oNMLB9bhz30ZNb2sGXaP88qhR5VVo9rKSJkgzxiSKNMXIBVy2p32CEJBzAkqP3EBx1eMkFuxO/oDTpm3H5LZUQwuZnEPi8A+itWbIjzAB2swXRYpC5CLcruEV70nK9QmCiPzig0g9d189TyqzxxHYs3alOoEdjMabK/o2yYPeTf6g09EIfFwqk/xg6GuH1refx+AtP9k0Img//mN4MUvkfytJW+GKAKEV/bf9vB6gAXhrn0MV+xCpbvQ4k+yKvk1iz5OZteIYtBb4MkUYRqScCIcQjaBGgmArmwFKgYNwZiHnzKY2hvSGQFnkD3oXleceqI8JN0Vqlz0ZavLyHSZIM7bJtRRJGaCDGsJJUVUOwTiXnVJWyOBNl1N57n4AvLXP47/2Eq2n/jVlFc+cgcnMkTHGZvPSxHTvZG1E0nfRt2k56dO0600lIXB22LICU6UWiIa2T6uFktTSI5m3aH+C/rW4XQvwSdIsl42kHRE9dxc9t/yE9mPej6q9yWxUevs+E16gtyT7RxF5N2DjzT+k/Oy9WOkc7cd/DDl3Gd5W+puOJycuihRRbg5zPvDPFO+/FpnKkj/4DMpNFCy/GXOFMN6Sa2us3mdZe/X/jw59RCLN7HO+gM7NJxzHsoEtohFPOQC1V1dixaAIo21LbEK0sPBD3ZAbtPHWLEuSsTz8dS9CFJLtXjytvRsbQWsohw7Tfb4bk6sa2kAeq6uFWpPtJHTx6bn5R4Cm8vyD5PY6Gm/t8/V/l6kcTtdOVP2J/14JB4oPXkd5U25mVB6i73ffovui70xKiZtaaGFlukm/40K0kBQDxj37F0cmSDPeUlL4rP39f9QbDWuvwoZrv82s879GkfG1JhKJFNqrbPm75Ux7Eca0HaI3rKL48B+xc53kDzmDsjZ98KZa1vJY99MvEA71AiDTeeZ9+OsMRW+eLDxWQggSlkLqgEgmmrr/pxFfzXbNEAKi8kY2p3HUXllJZunBdJ3+GUor78DKd9JyyJmUowSTkephKZ/aS4+8YVTj976CNWvZpLx+UaSJIsFMSk1p7m0PRuNF4YjACob76olxfgg8ErQf84ERY61HvgdfT9+sguNYqNeeoffKr1F94WGKj9zEaz/8HBnL2/Z/NiaN41hUXnioHqABqEqB4iM34boT2/loWZK8XaV6548ZvOprBI9cSz4RNn0ysWFMlNZg59oRzpYlwf4b/5dgqI/WUz5N6rDzKarJe2BVwsGdt3jUuNNhStC8FTOTZrwlbTnYrbNHFCVMdC8m0uOL770AUrvuz7yP/zv++pdwZ+1C5GSpTGO7HUfV2Hj/tSPGVLVI0PcKsm2xuXBMESEgqmwcNR6VNuKIib0HaVlj/S+/StDfAwzXsYpKA6QOfz810+rJ2MFVIpfZ7/kS/dd/l2BwPZklB5JZcQxF35r0tA8vErQc9m78dS/gr1sF0qbtyHOJ7DRJIhwRgoqIpEM1mtwNZUKIpl36NEFak7Ntias9BBpfJie9EW1FJZh97hfY8Ifv4L32IqmdltF+8kWU1PjLUVRDGyHyyHn74iuFnubkWi0kMjE6F0K6k9MCyBibIIjILTucjXf9BtTmk0KQ2/8kKhNcmhShVw/QNiutvJOWI86jNs7lesOYaYJIoHML6Dz3EqSEQNsUA9mQvNzNpZw6zvw8UvsgLXztIoioPngNvQ9cB1qRmL87ne/6GwqT0IIvZYc4qkZYHMBunU1NuQ2ttdgIJkhrYglbYRdWM3jrT1F+jfyBp5HZZZ8xNbEdqyjSlK0WWt/5d9hCE2pJSTnb/ZSj9fTv3NvM1zZtR51P9ZWV9W3n7ty3IfOzUCZvacpoDTWZZt6H/5WNd12JjgJaDj2LMNGOmuhSi70p7/F13SLsbBtmktQwhoWhojRFDyxKaUpq0+aZCKQUpGt9FO7/ff1rvDVPU370Jty9TsWfwHU4aUf4K2+m945fAsM50LPfewkqt1NTtTI0QVqTEgISqkLPzy+p34D6r/sOs87+PHbX0kk9CaNIUxmxI21m3OGiSOMlOui+8D+ovvQodr4Te9YulENTtHaq+ZEkdDrJvONChICasiclmA+0Q8uhZzB091XDA0LSfuIF1BrU/9MwjLGTUuKte3HUeG3NM+T3PIGJhCiuCOi788r633UU0H/99+g49xLCJppFN0Fak7Jti8qzD42YIQAoPfYnssctInyLPmfGFn4k8ElhLzwcX+tNhUVNgDYdlNLU1OY8sckJoKqhRXqvk8jscSThwGs4s3bG22b1cmMyCSFI2AqhFQGOee2NuiiKyC5YNmo8veiATYHUBM6V0B91fwyH+pBNdms0mbNNSimN0zZn1LjdNhdl3tZxC8MoNsuwxuSqhDYl0YLXuTuFMIUXTV6vzIQDWdsjY/vYtvncvZFtCXIUqNz+Q4p/vAyn9ykydpNUejUaTmsInSwdJ1+ETGZB2mT3PpbU0kMJJhjMazuJle8cMZbZ/VCCJpubaq6jNeqiSGHPXkhi/lK8Nc8AYOU6yO9/CkMmn8owRtB68gtb5tyQ8kPXMfjEbVjZtuHq6Zm5TZeY3EhpWWPtD/6/ehmf6qrH6Trrc9izVxCGzdmE3Jhc1dDG3eUg5nx0bwQCX9sUvIk/8FRUgjnv/TKDf/4hft9qUov2J3/wGRT95nqYMkFaEysFLu3v/FuoDqFDDyvfRSkyuTbG2AkxXPixSXenTxvXEVRX3srQX34HQFQaZN3Pv0T3J/4TfxIK8M4EliXxX3thVJ3F4gN/oOXUxYTm9mNs4ofgT3L7rijSlGSW7HEXIXVIJBMUmrAEpvmUNDGt9aZGtJ3gCLSvmYkBmmVJhBDmyXsSSSnI2D66uAGkhUi3UZ7k2kQzma08Bp+6a+RgFBL0voLsWGpeR4avTzKVGzUuUznUNHcaMXYMSmmqygIsaNLbhwnSZoDhWZCZd1OQUpC1ffzXnicqD9GycG9UaGYpJkPO9lh/xSUEA68B4M7eha6zvzAptYl2BEraOO3d+L2vjBi3813UzLQkMHyDtFrn4s7dDf+14R18wknQeuR5lCOLmXjNMozJZoI0I7aytkfvr75K0LcagEHbpfuj30DKVjNTMQGua1FeeXs9QAPw17+M9/Jj2DsdZGYsx8CPLFqPfh+1NU8TlQYByO59LCqRm/YizXFSjlw6z/x7ov7VROWNJHdaRkUnUaH5/BrGWJggzYglKQXhhtX1AA1Ahz4Dt/+CzDEff12pBmO8hGBUFX4YHrN3MUnvY6GUpmxlmfPBf0VVC0g3RShdyqGZiXw9pTRF5SBbd0O2C4YmuSOKYcx05k5nxJIQgqhWGTWua5VxN3c3RgpDRXbvY0eNZ/Y4giAws2hjFUWaQuBSsjspqAyVMQRojmORsX1yjkfSVjtMo3eltKmPZhjbwcykGbEURYpM9xJkMoOqlevjLYe8Ew+HmbhBYmtcS5OUwfBsTSqHpx28CTYGjyKNzs2h64y/ZeieqxDSouXI8wjcFrRZhmqIhKVJ2SHhUA/9N/wPwcb1ZJYeQsuR7zV5gIZhvCkTpBmxVVEucz/8dQr3Xk1U3khu/1NJzN2VcnHHCNBsW2IPvsjaX1+KDn2QNl2nfwZ33gr8cGJTMJXQxp67F+1nLkEL8EntULloQghSVoAtouHeoaQmXDzzzTi2xBp4niiRZt0vvoIOhusAlB6/FeEkSR58DrVgB5lSMwxjXMxypxFbYQRFlSFx6PlkjvskXsuuWMnMdB/WlElRY8Mf/mM4QANQIRuu/x5J4U/K9w9DRTlyqYTuDhagQc7xKNz0PXq+8wnW//QfcPqfI2E1JkhLUmXgzz8iKg/WA7TNKs/dj60m5/00DGPmMUGa0XBJW5F3PHKOhzvOuVutwQs0tUDEom2TbUsylk/W8nCdxs5+CKGIigMjxrRfhWjmbh8UU5CklbA0Q3ddSfWFhwBNVBxg/a//hYRsTLA0vFFjHVamddS/uV0LUGLy2lTtiDZfX/J2jbQd7jB5fsaOwSx3Gg2Vc0OK9/yGvsduRrpJ2o5+P6ld9qMaNt+pl7AU9tCrDNz8Q1StRG7fE8jtcRRFvzG/S6Qtkgt2p7b66fqY09GNspwZl5KXcUJkUCYqF7BbZ1OJEoRRY/LjLO1Te+mxkYMqJNzYi8juPOnto0JtkdplOdVVj9N66Jls/MvVoNVwK6njPkpJOZiaYdsn44RUHvoDfff/HlREetEBtJ14IQWv+a4vk00ITCeRGcCcyU0mbYfYhKAVkXCoRO6k31Qmi+NIas/fR/HhGwBQ1RL913+PeR/7FsLqiO1xv5kENXqu+EfQwxHS4K0/Q6by2Lsc3JCda1Xl0nH6XzP4px9Qe/VJEnPfRvuJH6esZlbrr4wTUrz9Z5RX3gaATKSZ88FLKTeoHp4SNu7c3QgLfa8bFdj5TnQDAsNq5NBx8kVsvOOXOO1zh2v9OQm0m6bkW6gGBaMznZQCiusp3Ht1fazy/AMkdl6Os+Rogh203EfSUiSkT1gcwM51UFMOXmQWzZqVCdKaSNYJKNz+M8orbwcgudMedJz+2djuDrN1QPH5B0aNV19Zib346KYq92DbktqrT9cDtM3KK28nv/O+DelDqJSmqFNkj72QFkIUFiXloFTz33yStsIVAagIoTW1l7fMbCmvwuCff0zuhE9taukyuTxl0/aODxJsWE3Q34OwHNqO/RC+mNzegZtpPVyqI3XE+ThECKnx1q0iqhbJ7rycCkma6KMQG5Yl8VY/M2rce+UJMkuOJGDHW/d0bQ1rV7Lmmm8PX6ukxawz/hZn9jKCmGZJJGxIiOFczVBbVCPbzAC+jgnSmoRlSVT/6nqABlB79UkqT9+Ns/SYWD41RsIm0b2E6kuPjhhPzH0b1Rjkl42HUppE25xR405nN1raDesLp7WmGm7qPTc80pgfNIXSdoj35C303XUlRCHJBbsz+6y/47Urtux8DId6kTpky+89eZTSlEWGznMvQaoALBtfO9QmWNrkrWgNtUDiuhHrf7mli4Zwksz9yNeJZIvpojFONgGJ3Q8hOX8xqlpk4LYrCDasIblwXyIsZtJs81glhc/aP/7XlodJFbHh+u8x5yPfJJjkBuaTIWWHRC/dz9pbf4b2qqSXHETb8R8zy9WvY+ZAm4RlCby1z40a99c8gxXTi5EfaDJ7HUti/u7DA0KS2/8kRG5W092QlNKI/CzSiw+qj1n5TloOPhMvpk+ocSQEWH6RjbdfUd8AUVv9NKUn7yK77LD612WXv51ANq5PaxQpSqFLQWUoBImGBmibWZYkWL9qZBeNoMbQXb/BbdDO0pkqZYcEz9zO6v/6DK/99IsM3PJTuk79FLn9TiK1+MBYPrROCRWhvZFFwFW1iNDxez2EADss03/D/2w6Zk3l2XspP/qnhm/KaiYmXG0SYahI77YvG+/45Yjx1NJDCLVFw6ZyJqgUurSd/jdYOgAhCXAoBc25m60cOuSPu4C2o9+HCjxkqoWSSqIbeAG07eHgYaZUa5dS4r/2yqhxb+0L5Pc/keqrT5NdcRSp5UdT9JsrkN8WIUDViqPGVa20qYuGuTGNlaM9ev/84/rfg4HX2HjvNbQeu2PPwihh485ZiL/upfpYonsJUQxv9ZYl8V59YdR4ddWjtC4/Fp94pvFMtfi9c8ZWKaVRqXbaT7iAjbf/Ah365PY/GXfBHhT9eAZosGlpSTkwAz5wWkM5sIE8wgEdQKOWVGxLkJY1vFdWgmWTXrA75SgZizIkE6GUwp2zcNR4auE+OLvsQ2f3cgKZnHEBGmx60NppD4SbRPu1+nj+wNPwlM2OuDy3PaQUhEN9o8b9datQUcSOfFurqASzzvocAzf/CK/nWZILdqf1mA9SilzilioRRYrUnF1HjScW7EEkXTAbaoAd+WxuQpXQxn3bYcx52wEIwMeh6Jun782mcst5I3+OEJARFdZ+/2JUrQSAletg7gcvZShyG/eDp4DWENoZOk7+JIO3/BjlVUkvOZDMPsdTqEkgMaMvzlWVZN6Hv8HQPVcRVQvkDzgN3baAaIbMlE4FpTRO21yQNvw/9s48TK6qzP+fc+69VdXVXdVbujv7QjayECBhCSGBsMoigoACAiIqLow/RRFxZB51ZlxmXAZwVEYcVxRlE5ABAQUkIGENkBAg+7520kvtdZdzfn9U0knTISTprq6q7vN5Hp6HfrtSfavuved877uqPbkGVeNnou3IgL5+3gulNAldRc1p11CLT4BN0rfLspJeawhCcepP/gjtu/NTR08nNutsEgPwIe1QMSKtwnA9cKnsjbqvCVuKiOXhJ9qwY/W7Ss4rM6QKhSHciZcf6xJoAEFyJ5mVL+OMr/wh6FnfIjT2OIZ+4kgEhYquYvWaKze8AHwRp+qkq0Ar8toxAu0QyCmHlg9/jZ2P3Iaf3En15OOpPe5csmtepnbsEaSCMMEgFWuVVGyU8W0i005nxPSTC22lsEl65ef1KyWDY2U0DFgcG+SOVWy89z8LT9VCMuT9nyM88mjyQWV6GYXQ6Ow+cpeySazK/Eg9cH1wy7DarD/QWu+a1Tk4KxD7gnwgsRvG03TFt7AlpN58ls2/+ioql0JWxRj+8e/TGRSv8MTQd+R8Sa7bWmAE2t6Y6k5DRRMRLjsf/smesIdW7Hzs9sZN9EEAACAASURBVKKN+OkPPE8TO+YcEHvdnpZN9dS5uGWcf2joGyxLEHNcYrqDuJWm2vFKfUhlie9rXBkl9cYztD95R5fnWWWTJBc/RehgZ9CVCUJAteMRtzLERZIaxys07jUMSirzKjYYdiFQBOmObjbt5naJtsr01Cil8cL1DLvquyQW3g+2Q+2ci8gRLfWhGYqMEFBj5dh25zfx2rYAUD11DvFTriblVX7xTd8jUO9oOQGgc+mKneFZ43h0PH47meWFRuChoeNouvhrZdu03FBcjCfNUNH42iYyelo3m9M0GiUqe0HL+ZJMZCjR0z9NdP7HSVv1uBUavjUcOCEbEi881CXQANJvPodObDPelH3geT41M04pFBHsRlrUzDwT1628BoaWJfG3r+0SaFCoWk0veYqQY7brwYjxpBkqmpxyaDzvC3Q89Vty698gPHwS9adfTVqH6c/cBseRhHW2UHUrIuS93v9tpTQ5tXtjNnkagwGpfdzWnn3kvB0bkbHRJW0CLYSgyvIKs4OFKPqUhgNBa8jZNQz/xA9ILHwAUMRnfxBXxtAVmBkgpcDdtqaH3d26iurpJn9xMFJUkfbQQw9x22234XkeH/vYx7j88su7/X7p0qV8/etfx/M8hg0bxve//33i8XgxD8kwwCjMtwwTnf9x4tojEDYpZffrZhaxA8TWN2l98g60myV+7LnUTD+F1CCpWDT0HR4hqqfNI7d2yR6jkETGTCNZ4h55Mcel7eEfk13zOsIOUXfyR4hOnkvGL+117voC36qn6uSPAZAORMUOrfd9Rc2EWYWJHHtRPe0kfC0xhSaDj6I9Bm3bto2bb76ZO++8kwcffJC77rqLlSu7dxf+9re/zec//3n+/Oc/M27cOH7xi18U63AMAxitNTlfkgrCZH2rXwWaEOD4Kbbf9z389i0E6Q7a//57vI1Lse3KbQNiKA2+rwiNm0ndvEuJjJ5Gy4e+yshP3QKWg1XC0t6wI0i+8gjZNa8DoH2X9id+jeWlyiL3SylNzoOcR8WNnNsbrTV+uI4h51+HHW9CRuPUz78ce9jkATN1xHBwFO0R6LnnnmP27NnU1dUB8L73vY9HH32Uz33uc12vUUqRTqcByGaz1NbWFutwDO+CECCswvRPrTSOHDgjiPoD27bIvv1qD3tm6TPERh2JZdkEgTLfqeGASbk2VUedQ820E9l273/i7diIVVNH0wXXI+Kj8EqQaiWVW5h+8Q7cbWuRI2ZW/CSMciLrWzgjZtJ0xZSu9IlUH6RPGCqToom07du309TU1PVzc3Mzixcv7vaar371q1x99dV85zvfoaqqirvvvvug/kZjY02fHOu70dQUK+r7lwMdyRy/fGgpz7y2mab6Kv7fh45i0ug6wmVcvl5u5yUzdEwPW6hlLKJjPbnXn6J68vHER07Gig7sUH65nZdKJsgk2HrfrXg7NhZ+TnWw/d7/YOSnbsGubzjg9+mrc6ICH3fcDPKbV3SzR4YfRqihuk/+xmDiwM5L4Xs13d76j3Jcw4q2E+9rDIXYyy+ey+W46aab+M1vfsOMGTP41a9+xY033sjtt99+wH9j585U0VzbTU0xWlt7NhQdSFi25L4Fq3nqlcJGsGVHmq/fvpCfffVURJAt8dHtm3I8L7G6kUQnHUdm+YsAOENGUX34HDb/6kZ04JFa/BTx2RcQnnk+Ob8MYkNFoBzPSyUTD3nkN3dPD1G5NH4+S/s+hrTvi74+J/GjzyK/bQ3ZlYsQoQj186/AlVE6zXk/KMy9Up4U+7xIKQ7JsVQ0kdbS0sLLL7/c9fP27dtpbm7u+nn58uWEw2FmzJgBwCWXXMKtt95arMMx7AMv0Ly0dFs3mx8oNu9IM6oxWtG5Hf1JyneIn3EN9addhQ58rFCELb/7OjrY04Q0+fIjxGad/Y7O2gbDvgmUIDx8QjehJiPVCDsMJeptm/RCxM+8loYzC9WdeR0iO0AfOgyGcqFohQNz5sxh4cKFtLW1kc1mefzxxznppJO6fj9mzBi2bt3K6tWrAXjiiSc44ogjinU4hn1gScHYYT1DcM31RqAdDFpD2nNIBNUkqUUpjd+xvdSHZahgcjrMkPO+gNM4AgCrpp7mi79KVh+4yA/yWeKOS8zJUxPWxJ08cSt9yB3stdZkfJuEHyHhhckbgWYwFJ2ietK++MUv8tGPfhTP87j44ouZMWMG11xzDZ///Oc54ogj+O53v8t1112H1prGxka+853vFOtwDPtAaM3V501l9eZOtrVlkFJw2ZmTcSwBFVrCXg742FRPP4n0G0932eKzz8clVMKjMlQSQaBIW7UMueQbSO2jpU1Wh/H9A7sv42Gftr/eQXLJ35FOmLqTLgXfo+2pOwod7C/6KkkdZh9ZKX2CY2mqLA+V7sCKxslrh5xvqp0NhoNF6H0lj1UIJiet91iWJADyviJkSySgy7hSq1LOSyzk421dQX7tG1RNPAbZMIqUV77FGL2lUs7LYMBxJKx4mrbHu7c0GvqRb7D9gZtRmQSxo88kMueyXYPe+xbblkTSm9n6h28WRrQJScMZV2NNmGOEGpVxrwhB0QR8uVKuOWlmzsQgJwgUBIqwABGoshZolUTStfGbpxE64TLydeMHtEAzlBe29siufKWHPb9pGaHGkYX/37wcqdyi/P0wOXY8/JOCQAPQira//ZqQqLwxTYONqO0TF0mq3e3EQ25Je/MZCpidw2AoEr5v+qMZ+g7HFkREDqEClLDJ6sg++5MFwiY8cgrZ1a91s4daxpFY9DgAkcNmEshIUdIaLEG32aMAqADt5eEACmeEgJAjEWhcv7Kb01YS1Y5PcsHvSC/5OwBWdR1Dr/w2KVljzkEJMZ40g2GQY1mSKjsg4igzxLtMCVkaZ+cKtv7qBjbddi077vkW1ST3eb5cT1Nz5KlExkwvGIQkftz7Ubk0QaqD6iknEjvmnD6ZL7svPGyqJx3bzWbFGsB5745ftiWIWVncF+4m+/dfEM1vI2JV4BDOCkMIELnOLoEGEKQ76Hj6TkJy4H7/tgUxJ09cpvBT7ThlGI03nrR+wLYlngKNJmxJPO/ALnrblgghDvj1BsPBErYD7PQWEv+4F6RF7YkfwqtqJF/iwdmG7kSky+b7vof2CyFKr3U9Ox/+KbXv/yIZ1XMZT7ghWi68Hj+XBSkJhIPUPiOuvQ1P2yTd4u1GOV9Sd/rHEU6YzKpFhIaMouGsT5NRYWD/wrDayrH5f7+MyhUm0aTeeIahV30HKzqcwBQzFQ0pBUFnaw+7174ZqT0OxANaaViWJJLbyrZ7vkOQ6kBWxWi+6CtQoqke74YRacXGkqzdnuY3j7xJ3g04/6TxHHN4M9p/d+ElpUBLyZK1bSTSLsdMacERoEy+mKEPkVIQcjvZ/JuvsXvzzKx8hRHX3Iwr4oMucbic0W62S6DtJr9pOZYI2NcyrrXGisZpSwvoWmr6x02gNSQ9h6p5HyU27zIUkrQKvefQc9uW5NYt7RJou96NxML7qT79MwQlCvxYlkRKge8HA/aeCAJNqGUcwnK69XesnnYSvqyCAbj3VIkcrff/kCDVAYDKJtn+p+8z9Orv45WRKDWPy0VECMh5Ad/4+UJWbexk4/YUP7n3dVZt7sS23/2r11LyLz9byPd/9wo/u38J//S9J0m7gQlFGd4Vy5LU2C5xK0PcyROy972bCAFVTkDcyROz83jb1tJtQrYKSC35O45Tmc9vti3L6j5xHIsqOyDs9O6YRKgK4XTfOMIjDyfQZRifoSDUcr4k5YfJ+M4B5TRpDcLp2aZGOCFKMcVdCEEs5BHauQyW/52YSBG2B55Y2U1WhRh6xb8RHj4RKz6E2nkfpmrKPFxvYH5micLv6N7MXWUSiKCM3GgYT1pRsW2Ll9/Y1OPp628vrmfiBftu3GtZkhWbOtnUmuqyub7irr8u5xPvnwrKhD4N3ZFSUE2K7fd8F691AzIcpfHcawm3TCUfdH8YiIV8Op76LemlzyIsm9rZF9B45sfZ+dj/dr3Gqq7f51i3csK2JZYl8X1FECgcSxOVeXLrlhKqqccaMoqUFyrp56gJ+XjrXiH5xgKcptHUHvd+UkHkkMJ2ORWi+aIb2fHQrQTpTkItY2k857OklMN7hRArhSBQVA+fhF3bjN9ZaAYtLIfaOReTDiT9/TmrbZe2P99Mbv2bBcPfJEMv/1eC+JgBWRDkBgJVPYK6C76C1ApPRki6A+Pa2hcKidM0Gq91fZfNig9BWw6U0ek1Iq2IKKUZ0dSzL8rI5ti7PhgKAZlcTyWfyftlv3FWMtKSqF3NgSwBQQUtwhHp0fbo7XitGwBQ+QytD9zCiM/+hHywx/viOJLs8hdIv7EAAO27dDx7N0MvuQkr1kCQbMOKDyE6+Xg63fJ9GIiFPLwtK8ivW1roQdc4CpFLsOnXX+0KCYaHT6Txg18h6TklOcawA7klT9L+9J0AZNe8TmbFyzR/5F9JBgff1NgNBLrhMFo+9j2EUihhkdbhAVd1lw4itFz5LXJrXkdlk0QnzyYnqlAH2MS3t9i2JKTzIEAEuT0CDUAr2p/8LXUXfAWf0lxXxcb31Z7PNsBzALM6QvOFN9B6/w9wt6/DaRxB0wXXH1DuZH9iRFoRCQLFYcNrmT6+kTdW7QSgpSHKOXPG4r9LMYDvK6Yf1kh1xCa9l1i7cP4EyieIM7CQjs0f/rqMJ15aT01ViE+eP51pY+srpmecJCC/eUV3o/JR2STYe0SahU969as9/r3bup6m879IkE0SGjaRVBCmrB4l9yJq+3Q+9VvSS58BIPHyw9TNuwQrGu+Ws5XfvALVuQ1ZM6okQsbRedoXPdrN5rdvgXwa5KFNnvB83pErUz4bSV8RBIpEEMIeMxshINGPRVMRO0DsXEnHs3cDUD/3Q9Se8EE6F97f9Rrl5hC6PO8Nw8Gxe6pH48U3IYXCchySrlN2D+hGpBWbQHH9ZTNJZT1cT9EQDyO1Zn9Lj4Xi5i+ezP1Pr6Izlef8eeNprtt3TyRD77AdyVOvbuSx59cB0JHK84Pfv8L/3HgqYVkZXbcDbCKjppBZ8XKXTdghrGgM3O6vC485otvrAEIjp+DGRqFimpyrKFeBBmDjdQm03XQ+/wDDPvKNHq8NcilETFAaMSOQ4ShBsq271S6vUEq54u+nsKoYSCmws21suetbXbatd32boZd/k9SSvxOk2gGIH3ce7gBNpB+MBIEitWtcX1NdDD9TfpMgTOFAkdFao/2AakfSUG2j/eA9xVYQaBw0l502kU9/YDpD68IV49WpNLxA88LSrT3sb69rx7Iq4/bIK5v6Mz9JeMQkoNCEsvniG8kG3UMynqeITjmR6KTjCwZpU3vChRBrwvPe+7osW7RGVnVPK5CRasJDx5XsM+WIUH/ax2Av/3d08mwCq3yqxgx7cByL1OInetgzy16k4dQriU48huaLb8QZNxNvgCbSG8oT40nrRw7GK6M17xoSNfQdtpRMGl3Hm2u6ezzGDI1XTF8mpTQpqqg//wYsArSQ5HQYbx95PEnXJnb6NdSffjUIgasd0l5liFEAH4fo5Nlklj2PCFVh1w4hOnk22qmm+eKvknzlL1g19dSe+CHSQYRShQR9X2E1jGPEZ35Edu0SnMaRyLphpP3KzWVydnX6HIh9G5XS2PXDetjthuHIccdRPfIoPGx8I9AGBFIKolYeGbggbbwyzjE0Is0wqAn8gPPnjWfJqp2s2tiJFPCBk8ZTV+1UlPdSKU1aOdC12OxbnGgNGd+mUm/9bGBTf8YnqT3h/EKj552bCQ+bgBtovOapxM6eiBaSpC/RJU6qzwcWrohhHTaPnFKoInX4LzaWJaixcmRWvIwOfGonH09aRejniGRR8byA2sPnkFr0aNdIK6dhOFWTjieR9SkEnSpnPSgmYVtja5dAOOQDq+IK2oSAGivH9ru/Xajs3DWRo+rEC0t9aPukMldqg6EPEUpx01XH4gUa2xJIqCiBNpjQGlwl8Tcso/2JX3fZG8/+DNa42WT93X3DymPj0Lr/86v6mhorx+Zf3oDKJADoeOYuhn/ihyRFVUXkbB4oST9E80f+jaBzGwiBjDeT8kOUy7VUaoSAmOOReOEBOle/RmjoeOrmf4S0qqqYqANA2IbE8/fvab2hFYkX/kx8xnyEbCi7a7py4hwGQ5FQSkOgcNCIQBmBVuaEhEfHrtYWu2l78reERf6Q3s+yJHHHpcbfQVwkqbbLq5llKXEci/RbC7sEGoDOZ0gueqwr/DlQUEqTcB0y0VFkqkaSdA+sCe9gIWIFdPztlyRfehhv5ybSSxew/a5vU3WI912pkMrD3bKqh93dsREpy08SGU+awWCoLLTqMSJJ57McisdDCKgRabb89l8IkoU2OdVT5xA/5WpSJeqxVk4IAcrL9bBrN1eKIQD9QqWF7/oLR/ikl73Qzebt2IBUHnBobWVKgS9DVE089h1tiwTh4RPIlmHOYfnJRoOhzBACLFuipRhw3oNKJMAmMnp6N1vVhJn4+uCfOcO2puMf93YJNID0m89BemdZjZcqFa4bUD3tJIS91yYsLWLHnI3rlt+GZigeWoNVU9fdKG2wKsvX43qa6hmnUnPU6WDZWLEGmi+6AasqXupD2yeV9e0aBjRCCCxLEAS6bJ5mLUviabjz8eWs35pk3lHDmXvkcNQArHCrFLIqxJDzv0DihT+T3/Am4bEziB9zDgn34EckSeXj7dzYw+61bUWMGH7Q7zcQyVLF8E/+kMSLD6GDoNArzIqjKygPydB7ckRoPOvTbL/3P2FXQ9/6ky/DPYSHo1KTyNtUzfkItSd+uDBnlggyXAWUX5+0yvt2DQMTS9KZ8Vi2rp3JY+qJR52yaBgZCMFNt/2DbW0ZAJatb6cz7XLeCWMrPiG8UlFK05l3CB97EVWzziOQYTrzmkMRVJ4MUz3tZPIbl+0xSovwyMnky6zzeKnwAoEv4oTnXAFak/IxAm0Q4vkaOWQCIz77E7ydm3Dqh+LJyF7FOpVFzpfkusK05XuvG5FmKDnSljy5aBO/feStLtvHzp3C/KNHoEq8UWZyfpdA283jL6zjrNljynZMl5SiMIdUCLTW2FC5jWr3Q94DCPVqxqDnKWITj6MumyD52t+wojEaTr+aPKbp7N5orckP4GHbhgMjH1jkqULWTySrdDlrmwGDEWmGkhNo+OPjy7rZ/vD4cuYdNbLkQijk9EzbrK0Jl20UTEpBIAQ/vud1Xl/RytjhtVx36dHURuwBKdT6gqRrEz7iLJqnn4LWgryI4FeAF82yBBHhFhoYI8kSxu+nQeSGwY2peu0/TOGAoeRowH3Hpuj6AeWghBwpOP3YUV0/Syn41PnTcco0qVwJwa13v8ary1tRGlZv6uQbty/ENJXYP3kPUn6YdBCqCIEmpaCaNG33/webfvoZtv/uJsLJjZi6lr5HSkE4ZBEKmS/X0P8YT5qh5FjAcVOH8uKbe2ZoHj91aMm9aFBoavuRMydzzpxxbNmZZtKoemypyzcfTQgWr9jRzdSezON6irB5JBswRKTLzod+3NXvyU+0sv3ubzPsk7fgBZXTDqHciVgBdr6N1MJHkbEGao88nZSKVETz1io7wBGFxzNXO+R8swBUIkaklTnSkgQIAqWwpUBqPfBczUpx7UUzmDSmjsUrdnDkxCZOO2YU2vfLwJcGBIr6qENjTT1BoNBlqs8AtNKMaomxYdueKqWwYxFyLAjK+MANB4UtNbkNb3WzqXwG7eWopJ5V5YxlSazkBrb87uvs9uqnXvsrQz/2PRJlLoRjIZ/EM38gs/IV4jPfR3T80YRrGkj64YG3fwxwjEgrZyzJy8tb+fmDb5B3A8aPqOVrHzsWKQZWw0WtQXs+Z84ayalHj8SW4HvlFaDTWlfE07Mj4UuXHc03fv48ibRLyJZ84ZKjsNAmx3cAEShBePh48ptXdtmEE0E4YfBKeGADiJDw6HzuPvZOuwhSHbhbV2M1TS3bHE/blrgb3iC76hWGfuhGOhY+QOKl/yPUMo7Gsz9D2oqVbC0ToiB+y6nNUrlj/J9lTKDgJ/e+Tt4teEBWberkt395C2GVQyCw7/F9BUpVRE5QueL7ivpqh1u+eDI//cop3HbjaUwZXY8q0w2lWNi2LIvGwyFbEw+5xEgQd1wcq282ppwO03je57HrWgCQkRqaLryenCpvD0/FsY8xQUJalEO+7LthWZBbtYja4z9A+9N/JLPsBVQuTW7dG2z7w78RlaUZ41RlB9SoTuSahVS726h2zNPEgWA8aWWKlILNOzM9hr2+vbYdP9BGXR8CUgqQEqU0IVvgugMz/KcCDQREpIAgKOPtpO+xLEm1lSO/fikqn6F2/CwyOkIpeg87tsBuW83mP32vMEYpHKXlQ/+Mjo/udRVmECgyVi3Nl/87IvDAssmqEF4wMB/gSoGrbermXkJ21WtdzVvtuhac5rFk+6AdiRCFnDdHFNI6ckTwvN6/bxAIIocdjRNvpO2J33b7nd+5HXyX/g6Jh2wI1r7M9kdu67LFZ19AZOZ55Cq0z1p/YURamaKUZmhjtNDzaq8cgiMnDMG2BMqU2h8U0pJkPcXSNdsZP7KO1vYso1tihG2x34HqUgq0EGgEoLGojLDnYKXayrHtjpvwO1sBaHfuYPgnfoAvYv0eXomIHFsfvBntFmZf6nyG1gdvpuXK75Lsgz5sQaBJBiEgZPpVFYEg0HhVTYz41K2kli7AqqknOuFYUkGIvvCkxUI+HU/8mvRbzxX6853xCaxh08gFvRMtvh9QNfoIdMdm7LoW/I5tXb8TdghhO/0eEg+LPFufvKObLfHCnxkx6yxyGJG2P4xDpoyxBNx45THEqwtPPUdPauKyMyfvV1QY9o1C8Me/LiMWDfHW2jZyrs9df1vGwqVbkfY+QhoChCXxhaA97fLnZ1bxvd+9QtpTWAM03Fzp2LYkv35pl0AD0F6OzucfIFSCWelCBahs9zEzQbINYRRVxZAPJEli2EedD+Pn0ek6ffKQFnYg9cpfSL/5LGhFkO6k9YGbCdFzmP2hkHRtdP1oms77HMKJFIzSouGsT5HX/X8zCEC52e5GXUhv2Y1lCSKOJuIURgQaChhPWhmjA8Xho2q5+bqTgMKFLpTCFOccHJYleWtDO+fNO4xUxuPpVzbSnswxf+YomuujBFr0aPchbJsf3/saL7+1HceWfPDkCcw9agTf/Pnz/Me1J1LOOSmDFSFEz40A0LkMogRJykrYOA3D8do2d9lCLeNQxnNQUWgNrtu3hUyWckmsXvTOv4S7bQ1Wy4w+KUpI58GpGcnwT/8IlU0gIzHy2iZfglYcHg410+aRWvL3Llt45OEEoiAYI3aAnW4l8fwDiHCE+AkXkrNiJnyP8aSVPYGvEEHhPwJlyqcPAa01seoQ8eoQ3/rViyxb38729ix3P7GcdVuTWO+4C2zH4m8vreflt7YD4PmKu59YzqiWGHkv6NF411AeeF5AdPxMRCiyl1UQn/0B3BIs9lkdoflD/0x4xCQQksioKTRd+GWyujxGTskybcg8GFAyRHj4xB52Z8golOq79cULBAk3RMoaQsILky9R/lfOl9TOv4L6064iMnoatXMuYsgF15NVIaQU2JkdbPnNP5Ne9jypxX9nyy++TFT0jVex0jGeNMOARynNqKYaFq/aif+OJ9Tn39jC/JkjunnSfKVZvLJ7Q1godO8fMzROyDY9x8qVjIow/OM/IPHCg6hchvjxH8CPDilJDmcQKNJWnPrzb8CSGl9JUso5oAct27awLIHvB32eAxm2FGHp4rdvxa5twhNhsr7ZCvqTvA/xEy4mv3kF7tY1IG3q5l5MYFejy6v7UJ+gNSTyNs7hpxGfPI9AOCRcDWgiIUi8+BB7Rye075Je/iLO5FPxSlH1U0aYO7MEOI6FGyiEEFgMzOHX5YbyA4Y3VfewDx9SjSMFew8QsAUcNamph1CbMLKWkc01SNSgySqSUmDtytnzvaBHtXG54QXgixjhE69AaE0mKG2RTRBo0uydA7T/YxECYo5Pft2r5DcvI3r4HETdcNJe3yzVji2xdq5k0z3fBVW46BtOv5rIpHmmI30/ojWkgjCNF/4zUnsgbVxtkymTSkfbljgiwMfC8/rQs+cpPGy6CTItkJGaHq+1qmoIyn3B6QeMSOtnhCV5a0MH9z25EseRXHn2FJprI6YYoMgopamrDjP3yBE8+/omAOpiYS4/63CCd4QvfV9x6qxRrNzYwcIlWwg5FpedOZkRTTUIpQdNzzEhJYm8z0N/W0E04vD+E8cRssq/ulVrTd7t+qnofy9kC8Iij6DQtqE3Yidqe7Q98hOyq18DIPnKozScfjXhySeT74OKvAhZtj3y0y6BBtD21B2MmDybXB9UnBoOHKU0KbWrOreMnEWxkE9+1SukVr5EePQ04lPnkXSdolVHu74mfvx5pJYuQOczANi1TYTHzCDhDo61dn8IXcFtf3fuTBUtR6upKUZra/K9X3gQWJZkU1uGr932XJdNSsFPbjiFiKTsvRTFwHEspBT4vjogj2Jvz4uwLHJeQCbnUx8PY2m1T9EhBIWeaoWfCh37B4k4g8J12ZH1+dItT3cVqkQjNv99/SmIfYR6i3G/VAJVto/asJi2J36NymeIzTiV+NwPk8gf2vNv3Mqw6bZru9lkVYyhH/8hSe/gelvt65zEHZdNP/1MV9+v3Yz4zI9JqJ7eDEPfU873SsRW5Bb+keSrj3fZqg47ivhZ/0TGL15VqG1DtciTXfM6IhQhPHIK6SDcr1GmYp8XKQWNjQd/jxn/dj/hOBahsM0zr23uZldKs3DJlrLojt6fCAHCsXhxWSu/fORt1mxLIezifwc6CAhLaKi2YT/5PloXqmsLRRvBoBJoUPD43v/3ld0qiTM5n1fe3jbortV3Qwiw/TQ7HvoRKpOAwCf5P3jnZAAAIABJREFU6uNk33oOZx9tXQ6dvnt687UkOvGYbjancQRKmkkFBggJn+TrT3azZVe/hk1xE+V8Hzq9MGrsbILhR5FwHZMGtAsT7iwyUgq0ZfHcm1vZvD3F/Fkjqa5yuPfJFV2vaamPDrqqTS0l/33X67y6vFBB+cRL67ny7MM5fdYoAr/4vv/B6LU8GATg7EM0hxzLzNzbhWVJ8mve6mHPrHiR+KQ5u3JvDo5AOkTGzSC3ZnGXrXbORbh91CE+GzjUn3kNVk092dWvER46nrpTryStIwzUjrghWxORHtrNIkJV5JSD65vK1n2jEbaN3rvliJC7QgvFx4wE7IkRaUVGSck3b1/I+m0FN+qDz6zmhitmMWVsA2+tbWPssDhTD2vAH2QVLIHSXQJtN/c9tZJTZo4q0REZ9ibwFReeMoEFr27sajnSEI9w5IQh+P0goisBpTSRlnE97OERk1Di0JbWjO/QeO7nya99jfzGt4lOnYuoH0m6jzrEa61Jeg6REy6l+vgLUcImGdhoPTA3R8cCu30Nm+/9HtrLIUIRmi/+KrpuLN4ArKLsLXnC1M27lPYnfo0IRbCq66maeAxeCRrgGgoYkVZEhBDs7Mx1CbTdPPD0Kr5wyVGksz7N9VWIQA3C1qg9n8xMl+nyQWtN1JH85IZTeXbxJqJhh2OntiC1Kqcc55KilEZXNxA79v0kX34EtCI8fAKxmWfT6b73v98XWkPCtXHGHE943GzyviLow+q63X8j5wnoKhQYuKtPRObZ+uAtaG/XaC43x44Hb6Hlqv/EK2GhhBCCsK0QOsAjXDYPPnkPopPnMnLiLLSbw+tsJdQylpw2a3OpMCKtyOxr+dMaomGbmpCF8gfXAOzdWBKOnzaUF5Zu7bJdevokbEGRsx8MB4oKCr3xz5g1Eq0LzWLLYyspH9KeQ9WxHyR+3PtBBSgZIun3frbjYO8N1VcIpQr5gnsRpDsQunTfr1YBMZGkc8E9+Mk2YjPPIjxscp+1WektCkFq6bN0PHNXwSAkzRffiNM0Bc+EI/ud8rgqBihaa4bURhjRVMOm1lSX/dIzJuFI0af9ZyoNoRSfvfAITp45grfXtnPC9KEMbYiWzROlYQ+ua87J/sj6Ftndo54CGMieqUNBCEG15SK1C0Li45Dpp+a5Slg4TaPwWjd02ULNYw45HN0XBOlOtvz6RlQuDUBu7RKazv8izsiZZSHOQ8Kj9dl79hi0YuejP6Plyv/A66PcSMOBY0RakRFK8a1Pn8A/lmxm0/Y0px83moaaUFncjKVEa9BewPQx9Rx5WCOeN/gqKA2GwUAs5LHzgZvJbXgTgOjhc6g7/WqSbvHznLI6QvNFX2Xnwz8mt2k5kZGTaTz3n0pWKGFZgvy2tV0CbTeJlx+mbvhUPMog9yvwe7RoCdKdiAMsWJZSoLU2xVl9hBFpRUYpDSrg5BnDkVIYMfIOfF+Zih6DYYDiOBaZt57uEmgAmbefo2bGKViNk4veZiEIFClZQ+15X6JRaHwtSKlQn87HPBi0BivSc/KJVRVHH6gKKjJKhnCGjMLbscf7WD31RDy9f7lg2xCVLv7OTchoHCJxUl4ZiM4Kx4i0fmKwe84MBsPgwxKKzKZlPezu5hVYzYf3ywhcpTQZdeCjuYp9LHb9UMIjJpPf9b0IO0Td/I+QVt3HJZWKrA7TfMlNdD5zF+7W1UTGzyJ2zDkk3XcXkVIKqvwONv/mn7umBkQnHU/tGZ80Qq2XGJFmMBgMhqLgK0F0yomk33qum71qwiwyg9SDblfX0vjBLxO0bSJIthEePZWsCqPKZNxaEGiSKkLV3I9SrT0CGSaR3/+xhaVPxxN3dAk0gMzyF6id9yGEPcSEPntBefhXDQaDwTDg8H2FPXwytXM/hAhVIatiNLzvU6ho46Br4L03SdchFx9HMOoYEl4ELyivFhdaQ84XZIIQee+9z5PQAX5iRw97kGo3rZV6ifGkGQwGg6FopFyb8IxzGHbkGUChYWrmADb+gY5SesAIVU9GqJlxKm1//WWXTYQihIaMJmvOda8wIs2wT4QQSCnM/DSDwdBr8r4g39W+wWzaAw3PU9RMnkOD1iRffwI71kj9qR8lo0rXMHigYERaHyME2LsGUPueqrg5h0IA0mJnIsf29gyTRtdjC/qkIlUIgbQECrAwc9oMBoNhoJBybZzJp9A4cTZKWKSVUzZ5dpWMEWl9iLQE+QDufWIlvq/4wEmHEQ1Z6AryRmkp+fmfl7BwSWESgG1JvnvtiTTHw73yqklLkvUVdz++jETa5fyTDmNUU01FfTcGg8Ew0AnbmrBwAY2vbbKBfcCJ/56n9hq3ZQRaX2BEWh/iacHn/+sp8rs6tD/x8np+9KX5VNmyYjxqmXzQJdAA/EDxi4fe4CuXz+rV+wYIvnTLArL5wtCnV97ezr9eM5txLTXGo2YwGAxlQJXt4696gc1P3YF280QnzqL+rM+QyBupUCpMdWcfEQpZLHh1Y5dAA/ADzf/9Yw3OrvBnuSMEZHJeD3tnyj3kBFfblliOzdLVO7sE2m4eXLAa4w03GAyG0iME2H6atsd+jnZzgCaz4mVSix4lZFqdlQwj0voIrcGxe4qxsGNRKW5frWFIXRV1se7JnmfNHkPIPvhLRVqCrR05bn9wCfuqwo5FHaQpzzYYDIaSI6XE3bq6hz23djG26vnwbugfjEjrIzwvYO6Rw4lX7xlAWxW2OXvO2IqaNmBpxfc+N5dTZo3k8LH1XHvRDE4+agT+IXwGXwu+dts/+MfiLdTFIowZGuv6XSRkcckZk9ElGs9iMBgMlYhlSWKOS0y3E7ezRG3/vf/RAaCUItQyroc9PHoagTSD1UuFCTT3IZbW3PLFk3n+jS34gWbOjGHYUFEVLkGgcYTgqrOnECiFY8lDEmiWJVm2vh1/12e/9a5FXHfpTDqSOfxAc8T4RmwwLT4MBkNFIAQl75wvhKCaFNvu+AZ+ohWA2Mz3UX3CxaR7OX5JawicGupP/SgdC/6I9l2qxs4gNuscEm7vPrjjSGztEQgH1zNr/sFgRFofsltwzDtiGFDwrlXi5ai1RvsBAvDVoXkBldK0NOwZJLyjI8e//M9zXHTKBD540njcvEfl+BcNBsNgIGIrQsIDFRAIh6wKEZY+Di5BugM71kgmCFGq4EjYDuh4+o9dAg0guegxYke/D2E39FpEZnybyOHzGT7lRNAKH5ukF+JQU3aEgFjIJ7N0Ack1rxEZO4P49Pkk3QOrGO06H1oRYJNVoQHTAPhAMSKtCFRSeLNYaK2pi4WYe+QInn19EwD1sTDzZ47EN94zg8FQZlTZAf6Kf7D5qd+hfZfw8Ik0X3QDqTefY/sTvwE0wg7Rctk30LFRJalKl8rDa93Qw+51bkM2NRL0QdQm50ty7J2XfOjvWWX5tD/+v2SWPQ9Ads1i8puWEzv9U2T8/cuPqO3jvv00OxbchfZdIqOn0/iBL5BwB1cVg8lJMxQNRwguPGUC3732RL7+ieO5/vJZ3HrXa2zakUZKUzBgMBjKByfI0PbXX6J9F4D85hWoXIr2p+5gt1DRvsvOR35KmFxJjtGXEaqnzOlulBah5nF9ItD6Glv4ZJa90M2WWf4SNvvPoxMCLC9F+5N3dJ2P3Po3SL70EOHBpdGMJ81QPDRw35MrePHNrTi2JJMr3JiLV+5gzJwxuK7xOO6PUMgCAYGvynIBNhgGClIKvB2beti1m4N3pHx47duwSvSM6Xqa+PRTCLJJUoufwqqpo/HMa8jrch2/JBC20yW0AIRls89y/70oVJqu7WHPb3iLyEwPGDxKzYg0Q9EQwMzDm/nH4s14e4UGjpw4xDSw3Q9SCrQlefLVTazdkuT0Y0cxrCFa0ukMliWxLEkQKFPsYRhwKKVxmkZRWLU0MhxFVsVA2lixRoLkzq7XVk8+Hk+XrvdlwrWJHHMhNbPORSHIEynb9dTVIepOvJj2p+/sstWeeBGu3r/IKlSaHtbDHhk7AyUdBlNCsxFphqLheQGzJjdzyqxRPL1oA1JKzj/pMIY1RlFluqiUA0pKvvnz51m/NQnAky9v4LpLj2bmxCGHVGnbW4RtsXJzJ4tX7mDW4S2Maq5B+4NolTQMClwiDLngi4jAxappQGUSWNVxhl75Ldr+8jPc1nVUTZhF7dxLSHqlbVCe89grb6x819KcL4hOO5Vh448mv3EZ4RGTUFUNZPz9Z1ppDb4dpfHsT9P25B3ofJboxFnUzDqbRL6fDr5MELpS5hXtg507U0Wr9GhqitHamizKew82hCV3LSMCKTS6FwKtt+dl95D3QIFjibIr8hACEvmAL/zX093sI5tr+NdPzkb0c185YUn++MQKHnt+XZft4lMn8v45Y7oJbXO/lA8hWxAWeWxbkvUkuffYEA17iIV8Egt+R2rx3wEQdoihV/w7xJrBd/FFiHwgelVFORjvFSFElyf+YCRH2IawKKgyX1sHNUf0YCn2eZFS0NhYc/D/rgjHYjB0QwcKEShEEPRKoPUWy5Z4Gn776DJuvus1Fq9pQ+xjSkQp0bqwoL0TKUUhEtPPKOCvL6zrZntwwSozzusQkFIQCQlCoeItuxE7QGxcxNZffZn1P/4MuYV/IB7um2angwHhZbsEGhQKBdr++gtU4JEKwuT83gm0wYrWGt8PDnqGdd6HhBcm4YXJ+MUTaOWMCXcaBg0Bgut/9DTJTGHEyZJVO/jCJUdxzKQheGXSYFEIQdixOGfOWFrbsyxZtYOcG3Dh/AnYUhD0s+NP07MAv4Kd7yUjYgfY6VaSrzyCrGmgdtZZpFRVnxaECAGOn2bzn2/tsiVf/St2wwicw08tm2u8XBECVD7Twx4k25EVMtrPMPAwIs0wKJBSsG5bskug7eb//rGGGeMbS+Gk2idSgiMkw5tqqK0Jc+U5U/B9xbotiZI0cbSAeUeNYMGreyrfzpo9FkuUcyZMeWFZEtmxji13fqPLllr8JMM+/gMSQd+N27EsSX7d2z3s2RUvEp80F88s9/tFa5A19choHJVJdNmrZ8zHExEqZQazYWBh7lrDoEBrqKnquSHGoyGkEOgyWYADIbn+1gW0Jwt5GPc9uYJvf/ZEphzWiND9f5Q6UHz8/VM5dkoLi5a1cty0FqaMrkeZwoEDJiQ8Egv/1M2mMgncLSuxmqf3WbVsEGgizWN7/v3hk3ZVxJXHNV7OpIMwwz76Hdqf+h1++xaqp51E1bSTSfZyLJLBcKgYkWYYFGitqY+HmT6+kTdWFcrpHVty1blTkeiyqOi2bYuXlrd2CTQA11c8/sI6rjrncNxcaXKLlBdw5GGNHD1xCCpQ+H0o0IQQCEsSKI0jRZ++dzkh7J4tB4R96ON29oXWGh2tJ37seSRefhi0IjxsPPFjzqXTiIwDIgg0KRmj+rRrkDrAl2Ej0AwlxYg0w6BBBAHXXzaTzTvT7OzIMXVcA7YonyHv4l2OxfcVqsReEN8PeI8m4QeNZQlcJbjzL2+xuTXN/FkjOWH6UFSZVdz2lryyqZ13CZlVr4EqfIl2/TCcpjFk+1gApD2HqmMvIHbcuUgUvnZI+n0rBgc6SmlyygIs4300lBwj0gyDBq0BP2BEfRWjGqMF8VPqg9oLzws45vAWqiM26V1eMykFH5w/AVUmQrIvCYTkxp88Q1uiMGJn2fp2UlmP9x07En8AJbkrpfHCQxjxqVtIv7UQK1ZPZOyRpIoknrK+RRaLpqYYHa3JovwNg8HQPxiRZhh0KKVLkoR/IEgUt3xpPn9ZuJZ01uO8uYdRE5Yl96T1NUJAezLfJdB28/gL6zhl5sgB1xsoHwhcUYNzxFkoBQk3wIgng+G9EaKQCqLU4ByPZ0SawVBGqEBjC82F88YB4HmlD3UWA62hKtxz+amrCR9ypa2UAi0FQaBxbElQZmFTrTHzag2GgyBiBzhekuxbrxJuGYPVMIqU7wyqfmlGpBkMZcZg2czDjmTeUSN45rVCew/bEnzy/Ok4Eg6257FlCfIKfv3gUtZtTXL89KF8YO5haN8fVAu6wTBQcBwJm99g8/0/6LJFJx1H/PRPkfYHj3QZPJ/UYDD0OcISaCHZ3JrCsS2kPgjPX6C4+twpfPDk8WxtSzNpVD0WHNKwaB/BTf/zD1rbswD86amVpLMel502saSD6Q2GSkOIwmgxoX18nJINbw/rLK1P3dHNlln+IvWnfYzBJF0Gzyc1GAx9irQkKzcn+MHvXyHnBsSrQ3zzmtkMqQkd+MIeKOqjDo019YW5fod4LHkv6BJou3l60UY+fNqksmlUbOh/HFsSJosQ4BIm7733vxnMWJakRmbofPEh/LYt1Bx5GuFhk0l7/S8VBKC9XM9fqME15myg5ecaDIZ+IkDwwzsXkdsVmk2kXX74+0UcbGGm1rrXbVBCjsU7R54OqavCxDoHLxHLx9r8Ktt/dxNbf3E93usPUxMaXBv8wVJt5dlyx7+QfOlhsqsW0fqn7+OuerEQeuxnXBEhfsy53WxO02i0XdXvx1JKjCfNYNgPliUIEIUYgNZY6EFZYbQvPD8gm+++6W1qTdFDLfUDFnDxqRO554kVANiW5NqLjiw0yC2DaKcQELZBKpdAhoxHp8gU5pim2PzAzV22zmfvwakfhjP6WLxeFpVEbEVIeKACAuGQVaGyrRg/UIQAldxBkNjRzZ586WEax83CI9yvx5P3NDVHnEpT/VDSSxcQajmMmqPOGHR9/4xIMxjeBcuS5ALNzX98hWXr2pk0up7rLjmaaMRGB2pA9i47GBxb0hCPdGujMXVcA6IEC6gOFGfPHsOpx4yitS3LyOaaQjPXMphgIKUgZufpfO4+8puWExl3JPFjzyXplrZKzXEkFj4B9oAbvm7bFtllr/Wwp996lppRR+H1IogUtX3yix+n9bk/gfKJjJ5G4weuI+H2nCpRaQinpxCT4ShalCbolnJt7OFHUz1iOgpr1+SMwSPQwIQ7DYZ3xQe+/asXeXttO1rDsnXtfOc3L/Hm2jYSOR/LKs/bR0gJtkXKVWBbyCIdpw1885rZjBseB2D6+Ea+eNlMZKmUR6AICxjdFIUgKJvWJVXSpfVP3ye56DHcbWtIPP8A7Y/9nCqrdKG3eNiHlQtIPfpj9JuPEw/7iBJ4QItFEChCzeN62EMt41HCOuT3FUIg8x10PHt3V25Ubv1SUov+QrjCNZrWoMMxImOP2GMUkvpTr8TtZy/a3vh+QM6TuF553M/9jfGkGQzvQqA067clu9k2bEtSVxPm9vuX8KXLji7Rkb070pIs39jJ9373Cn6gCDsWN119HGOaqwn6OO4XBIraiM3XP3E8QgiCQCEFlHqMQ7mFnSztkd+8opsts/wl6s/4BKVYgqvsgM6nf09q8VMAZFctIrfuDeJnfY7MAGltoJRG1g+neupc0m8+C0CoZSyxo8/s1RxTyxK4G9f2sOc3vEX4qHOo9C017Ts0vP/zBDs24LVvoWrckeRltGQVnoZKv6IMhiJiSUFdLEzHXgPP62JhsnmfbW0ZlC4/V3QA3HrXq/i7QrF5L+CWP77K9//f3CJVOWr8AG677zXeWtvOlLH1fPaiIwlZmNy93UgLYTnoYE8imqyqLlmo0xE+qSVPd7NlV79GAx5C2AOm1iLlOdTMv4q6+R8BFaCsSK/zmYJAUTViYg975LCZBMLp1XuXA1pD0nWw6scjGyeS8IKSP3QNdsptjzEYygYLuOGKWUQjhWeZaMTmsxfO4KFnVzPvqOGEZPmFh4JAd8393E1bIndIG6/tSLQUCEsi3+WzBgi+8+sXWbSslWzeZ9GyVr77m5cKxRYGAFztUHfyZd1sDWd8gnwJQ0jCCe31g6T+5MuQaKpzW4mHXJxDjwiWFRnfIeFHSagYKc/ptZdVa/DtGhrP/gwyHAUhqZ46l+oZpwyocFwQ6F4XVxj6BuNJMxjeBRUoRjRU8eMvn0I275NzAx5duIZxw2v5wNxx+GW4iFmWYFRLjA17hWknj6nnYPWksC1eeruVR59fS11NmI+eO4VY2O5RLBEoWLM50c22elMngSqI3IGIZUt8DSCQaFBqvyI450uqDj+J4ROOwduxgVDLWFwRIV+ilLQ8YermXUr7E78GoO7Ei9C+x4afXguACFUx9Ip/Q4Vbet0apZywLIljaZQWuL0olMj6FuHDZjP0sKMRgKdtku5AvdoNpcaINEPREQKkZaG0xhKH1lG+VBSSzwNqQpKqkMUlp08iJGVZCjQo3ND/cvVx3HbfYpatb2f6+EY+fcERSK0POGph25JFK1r573v2VMctWbWDn9xwag//mJQQrw6RSLtdtnh1CCkpxF4HGMKSvL6qjZ8/uIR01mP29GF86oLp6Pe4HrK+jRBxQiNm4PtZQCClKEn+XN6D6OS5DBszjdz6pdRMOpYNP/1c1++1m6XtL/9D/QdvJE1oP+9UXKQURKSHJMDHIR/IQw7FVjs+qnUN6cVP4jSPoXbGqST98CF//3mPknpCDYMHI9IMRcWyJHmluefxZbR2ZDlr9hgmj65Hl0FrhIOhkF+lkYCv+vbYhRBYdiHzQAWqVxt3ECjCUvD5Dx+JppDPILQ+qPf0FPzl+XXdbDk3YNXGDiaPrO3mXbEFXHfp0fzHb17C9RUhW3LdpUdjiwGp0XADzX/9YVHXz88t2cKI5hrOO2HMez581Dg+ubcXkHjjaZy6odSdfBlpK1aS3L2MbyOcZuzJQwlyrbwzl8pr31aSViq7sSxBtUrQ9sjPcVvXERl3FPXzryDhhdAHqdQcR+Kteomdj/6sYHh7Iemlz9B06TdIqtKJUIPhQDAizVBUlBB8+UcLujwtry1v5bpLj2bWxMYB15vpUJCWIOtr/vTYMrJ5nwvnT6C+JtSreZMFQaYLY1U4+FRmS0JjvApo72avi4V7bJCBrxjXEuP2r51OIu1SHXGQWvd5JWk5YFmSZes7etgXLdvOWceN3m8WXsgRZJc8SfvTdwLgbllFdt0Shn38BySC0ggFrQt5R1WRGmQ0jsrsCVtHD5+NL/Ycl5QCIfqvGCQq82z9/b92NVZNv/E02s1Sc8anyXoHF1oMqSw7Xniwm83buQmdS4LV2GfHbDAUA1M4YCgaUgo2bE91C4UB/N+za3BN5R8AvhZcd/PT/PXF9Tz7+mau/9ECOtLuuybq9wtKc8XZh3cVTAAcOWEIQ2qr9umR00rRWFtFjSMRQYBWA0OgSSnAsshr8BAoAWOGxXq8bsrYBmxr/+fLUTmSrz/RzaYyCYLkzlIMaOhGRoUZevm/ERkzHaumntiss6idewl5vxCSjYU8Iom1hHYsIx5ysd7js/YJfr5H5/vMipdxxKH5Z4XdUwgL2Td5ZLYliDl5YjJF3MnjWGZtM/QdxpNmKBpa022j301N1EEKga7wcvXe4jgWCxZvIe/u2Xi0hgcWrOIT505F9XFY9UBRShN1BD/+8ims3ZIgXh2iMR6BIBhUZ0xbkm/98kVWb+oE4JgpzfzTxUfx0XOmcOdjy/ADxeTR9Vw0fwIq2P+50kJiVdfhd2zrZpfhaFFbXoRtja1dlLDJK3ufItsPNBm7ntpzryvkf4kQSU+gNcQcl+13/Tte6/rC8UbjDP/Yf5IQVUU9bmGHQNrdhmk79S0civ7Piyrq51/O9nu+22WLjJ6KDlVDL8dz2bakKt/Ktru/TZBsQ0aqabrgeqgfhxdUToWzZQmiMg9+HmGHyGuHvG98OOWAEWmGoqG1pjEeYeq4Bt5c0wYURglddc4U/j975x1gV1Xu7Wettfc503vJTHoPaRASkxBIAkEgdBSUrl4ElCtiQSxXvAKfBRTEhgXUq1dAvSgioNIJLZQk9JCQTvpkJpk+p+y91/r+OMlJJjNJps85M+v5B/LOOWfWnL332u9+y+/tTl25lALXVWid3m3ixpj2ndgMt98FLPY1TIwpz0kokadZDWF3CYUdnli2JemgASxftYsN2+r48KxhLJwxjEBrHCkQWnOkkr+YCVN0yhXs/OONSb207Mnz0G5Wtx2F9hAC/OZ6Ysv+Rt3a5YRKh1N48n/QrHLaTVkGgaEFhwNvCY4jiW9bnXTQIBH9a1j+L0KzLyDWDVHYIxE3LkWn/Ad7nvgtGI1wwxSf+TkiJoPOCnf5vsYpHUflVT+mZc2ruCXDCVWMp9Hr/gzIDKJU/+NOgsbE/qajzVQ/dAcVn/4RXpAejQVKCbKCOqruvZmgcQ9CuRQtvprwyGOJ+bZrtb+xTloXUEoilURgiMcH182r0wSaGy6dydbqJmrqIkwdW4Ir6HJrf3PEY3dTnGdWbGFEeS6zpwxBdLPYvr/wfc0xE0opLcikui4CQGbY4dyFY1Ni5iSknnp/X6ERrNvatv5s4/YGJg7LRwRBYvMMOtY1GwSaeFYZQz/7c2JVG3DySiCzgCavd2YJhR3Nnmf+l6a3lwDg11URq9pE+eXfo7GDNXBCCPy9zseBBA3ViF5WvI36koyxcxl6zUx0Sz0yp5BIEOryvhH1FTFZgDvtDLzAEI1rekJ4VgqDV7O1lU1HmzF+HNKk+zMs4uz+1y+SjqYJPHb/+9cMveYuYgNWSCd9sE5aJxFKsnV3C0+8tpnhZTmcPGs40mirrn4IjDHgBwwvzmJkaTa+r7ssYO04krfXVfO93y9L2v61dBPfvnIu9FNqsLtIbfjBtSfwzobdRGM+MyeVoSBl5k4ORlxX8f6WWj501BCWvr2j1c9mTx7S5YaXuC+IE0aVTiGmDaYXxU9dfGreW9rKFjTUIPwodFBWw/MC8sbPovaZP7ZKO+bOPIOolvS2FH3UV0RRiHAGJn7k1x8JY+jxh+rASMKV44htX5e0qZwCcMJtIqRCCDKVh9+4m1zXEDNh4v03vjWJQhPf1bqbG+1jYi0gj+xo7qufHawPdL1NryadH3nkEc444wxOOeUU7rvvvjY/37BhA5f3bY+tAAAgAElEQVRffjnnnHMOn/70p6mvr2/nU1IHx5W8s3EP3/zVUp57fSv3Praa//rVUrSwufsjobXptj6ap+H+x99vZftgZyP1TfF+L77uKkGgMX7AMWOKOG5yeSIqOIAERNMRIQRrPqhFSsHFp06kIDdMeVEWX7jwGPJz3E5LQBxMEOhuf8aR0Aac/NLWRiGhnQL6wxElk4pPfZ/MsTPIGD6Zso//Fzq/sk9FblN5TFXUhCg590uEK8YC4BYPpfzjNxJpR9oj143T8MQv2PzTz7Dzd9cjtr1Fhur/h0sfh8zRx7SyiXAWIpx92PdJKcgLxclo2ERGw0byQh5K2XthT9NrkbSqqiruvPNOHnzwQUKhEBdddBFz5sxh3LhxQCLCcs011/DNb36TBQsWcPvtt3P33Xdzww039NaSuo0XwN+eaT0oeUdNM3saYhRlD5yZd+lGb9/w+oJ0Evgd6HhewIIZw/jCj55lwYxhXPPR6fiBZuSQXEyaHKcYGZSeeQ077rs5WQNXMP/jeKZz6dV4IAnCZeSedi0CTZywPVcPIAgMzSqHwo98HSU02ggiZLT5jsKOoeHVh4isS2js6UgTNf/4MUOvuYsoWf2x9CTRwKHolCswQZzIujdwiyspOevz7TqaB5LjxNl1/7fx9iSizU5+KUMu/y71/SQpM1DpNSdt6dKlzJ07l4KCAgBOO+00HnvsMa69NqFsvXLlSrKysliwYAEAn/3sZ2loaDjk56UKjtP2SaFPWtItuBIuOW1iq3TniCG5FOaGB11hu6X3MMaQHVLcfPU87ntsNX99Zi0XfngCWe2MxUpVfF8TqhhL5Wd/jl9XhZNbhCcziHShEDwIDBEUiUFf6fH39yVBYGjmQOe37XfkmDj1m94+yGrwarYgiyf1a6rQGEODFybv1P+kaLFGa4i242geiOsqImtfSjpoAH59Nc3vPkdo6mJbq92D9JqTtmvXLkpL94fby8rKePvt/Sfp5s2bKSkp4Wtf+xrvvfceEyZM4Fvf+lZvLadHcKXg8sVHcfNvX0lGzcYPLyAvO2SdhD7A9zXTx5Vyx3XzeXp5onFgztRE40D6x9IsqYTRmhElWXzlkmMBCCmRdp3E0gnR4IUROSMx2lj/qh8JZIjw0Il41Vta2d3ioURSoJbLGEOLf6A7cPiTRQiBV1/dxu7XVRFO19qTFKXXnLT2UlDigIPn+z6vvfYa9957L9OmTePHP/4xt956K7feemuHf0dxcU6PrPVQlJa2I1yZ6fLzryzixTe3Maw8h+njSinITY8unoHChJFFTBhZ1N/L6BTNEY+YF+AqQW72wDxf2rteLP2LPSapQ+aCC/F2bSK2fR3CCVG06HKc7DxKMw5f+5WqxKefSMMr/+DALtm8macRzsvsv0V1k1S8XnrNSSsvL2f58uXJf+/atYuysrLkv0tLSxk5ciTTpk0D4KyzzuK6667r1O/Yvbup18LEpaW5VFc3tvuzLEdw5nEjEjpd0TjV0R5oPbJ0iMMdl1RESoEWkrv/8S5vra1mdGUe137sGLJdMaA6gtPtuAwG7DFJLaQMUXje13BlgDaCuHHZ06ihMT2PUVjlMuSyW6h74S+gNfknXEA8XERDmp5zvX29SCm6FFjqtVaMefPm8fLLL7Nnzx4ikQhPPPFEsv4MYMaMGezZs4fVq1cD8MwzzzBlypTeWk6PYkxCH60nCmiFlBiliGoDStnumAGGFoKfPfAmr7y7g0jM572Ne/j2PS8T9LtcrcVi6Uu0NjT7Lm5+KQ1emGiaK/rHAkU0dyT5Z36R/LO+RLxwHFErftvj9Gok7Utf+hKf+MQn8DyPCy64gOnTp3PVVVdx3XXXMW3aNO666y5uvPFGIpEIQ4YM4Qc/+EFvLafLOI7EmK6Lrx4OqSRrtzdw+70riHkB2ZkuN181l7I820E1YBCCN9a0rt2oro0Q9zUh66dZLJY0Jgj03kkVYIseewdh0li/oDfTncXFOeyuj7Bq0x6UFEwcUYg0pkedNaMk196+hEhsv6LhkOIsvvuZeYgBMqS6p0m3FI5Rkht/9TI7djcnbWFX8YuvnoTogXNJSoFSkqCfpy6k23EZDNhjkprY45KapGq6004cOAR7GqJ86cfPUd+UqDcrLcjkB9ee0KO/w/N1KwcNYOfuFmwmbODgCvjixTO46Z5XiMR8HCX43AVHI+mBoTRKsrspzsoNNRw1qpiSvAzMEQZ9WywWiyV9sE5aO4RCikeWbko6aADVdRFeXbmT46cO6bFW/JAjKS3MpLo2krQdNarI+mgDCN/XlOeHueuGk2iOeGRnuAgMpptRNOlInlqemHqxj4+dPJ4zjhuZNoKrFovFYjk86V252GsI6ppibax1TbFWMiLtoZQEJcFRoGRyrll7SAw3XTmX8cMLkAKOHlfC9Zcci+zhDLQQCcezPSFeS++jg8T80mxXQhB020EDCAw88HTr6Rd/X7KeFJBcslgsFksPYSNp7eD7AWedMIYnXv0gKVqrpODEY4fheYeeiCuVoCke8OM/v8H6rXVMHVvC5z9+DK5sf/isDgw5IcU3Lp8FUoAxSGN6tLZIKEHMNzy7fCulBZlMHVOM0P1bv5QWKIk24AeakCN7/Lh0H4F3kICyH2iMsdlyi8XSNYSATOXjCB8QxEyImG93lP7EOmntoLWhvCiTH35+Pg88vRalBBd9eCJhRx42ChIguOk3ryTTl2+vq+FH97/ODZcey6EqkJKNCK3/0yMoJalujPHVn7+YdDBGDMnl5ivngra1S4dESR54dh2PvbwJY2DkkFy+nWLfmcRwwjFDef6NbUnb3ClDUKIHat0sfYqUIsUeACyDlVzXo/aJe2hZswwRClN44mVkjptLxE9NV8F1BBlEExMQjCIaqAE3Qzs1v/kUIDPsUpob4pqPTE0YtDni3D7P163qywBWbdqDoX+iGxq497HVrW4Am3c2smN3C5WFGQPyxiCEwEhBZO/suMyQQmjT4SHsQghqm+L8e+mmpO2DnY089Px6zl84liBVRgNpzRVnTeaoUUWsWL2Lo8eXMP/ooRj/0JFeS2ohlMTXsKW6iYqSbFwpeiQVbrF0hZAraH7rKVrWvAaAiUfZ88RvqBw5FSELUs75CTsBctcaqh67m6C5nuzJx1Ow6BM0xNwjvzmNsE7aYUgownf8zHQdRWbYaSOpcfBHSCXRCOJ+QMhRKHpW2mMfBoi341QcnCYbSAhHcusflvP+5loAJo4o5BufnIXpoHOllOCDnQ1t7Ou31hOYvU5gCuxWxoDxAo6fOoTjppQjhcA/TCreklooJXl74x5+9KfXEylqAddecAwzJ5agbeOHpR9QOk7Txrfa2GM71qFGzE457c6wibHtbz8Ek1hX88oXcPJLCc84l5jX/3t0T2EryXsQheHLlxxLOJRQXc7OdLn+kpk4B4TRpJJs2NnI525/ls/e9gxf/unz1LV4vVLU7wg4f9H4VrbC3DAjynMHZBTNdRXLV+1KOmgA72+uZcXqXbhux5SwfV8nOmwPCn0eM6GUf760IdEUkkL4XoD2NX6qRPgsHSJA8Ku/v5OMThgDv3n4XQJj638s/UMgXTJGtp36Ey4f0ytBhO6glCBe/UHSQdtHZN0KlI7206p6h9S646Q5OtCMr8zlFzcs4hdfPYmfXX8ipXnhVie4FoIf3rsiGW2ra4xx+/2v0xuOv+9rxgzJ5dbPHc/8Y4Zy/knjuP26+UiTWhdcTyGlYP32+jb2ddvqD9tlezBhR/L1T3yIkoIMwiHF6ceNYvzwAv6+ZD3vb661XbKWbqONoTnitbJFYj46BaK0lsFJ3IPcGYvJHH00AEK5FJ54KUE4L+VSnVob3KLKNvZQxVi0DPXDinoPm+7sYXRgEARkSAF+0KYRIO4FbQRst1Q1Inqpas0EmoqCDK46ezJCgBcPGKgxF88LOPHYYa3qyYC9Xbkd/6tNoJk6uogvXzwTP9AsX1XF9/7nNbSBzVWNTB1V2MMrtww2pIBpY0t4Z31N0jZpVCHKBtJ6BKUEIeEjjMaTGT2mbTnQafBC5J3+eYrwQEjixqUlBWeMGgOBk03Bgouoe/EB0AFu6QjyT/g4jQOsG9U6aX1MyFEU5oapbdyvw3bUqCJ6sycvCAwMAiV6rQ1l+Rl84cJj+POTawC46JQJlOVnHLHp42B8LyDuB9x0zyut7MdNq8DzBmYk0tJ3SGP48sUz+PNTa3hnXQ2TRxdzyWkTkVrbCYjdJOQYwtEaapfci442kzf7LNyhU2jx7O3uSBhjaPEd0sE1aPEdMqaewtBpJ0IQoJVLsw6nRM1wT2Jndx6C3prjpZSkrsXj9vtfZ0tVI0eNKuLLF8/AFe1rqVla05Hj4rqKeJD4LkNKdPkpWjiKFe/v4sFn1+E6kk+cfhRjKvNsB1472HmEnUeIvR2egcFRic7OntyNB+sxyXeibPv15zHB/nRy2QVfxyubnBLF76l0XDKcgLDw0V4U4WbSosP4weC8D9nZnRYgoYtWmO1y06fn7J1e0PMCtoMdzwuSyePuBL2MHzBnUhnHjC9BILrl8FksB2MMGF8jAe3b678ncBxJ5IN3WjloAI2vP0bu4vH4dKyBaDCQ4QT4779A9TP/C0ajsvMpv+RmWpzCvcoGllQg9ZLNgwDf1witEynIwKr/pzKeFyC1QWhtHTSLJcUxxuDkFrWxq7xijEh/By3DCchzo+RST54bR3WjiDGMR+1eBw0gaK5nz2N3ExbxI7zT0pfYSFofIaXAcRUYiMetnpXFYrH0NEFgUCUjCFdOILY9UZcqM3PJP+58GtN82810ArzVz1H97L17I18FlF96M82yoEsP+kG0sY2ERbxmC8pWRaYU1knrA8TeOrR/P72OkoJMTv7QcJTpHQFbi8ViGcw0eSGKP3oDuqEaHWvGLR1Jc5D+BeUucXY980f2NZkFzXXsefwe8s/8Ii2687dymZWPCGVi4vun5GSNn4UnBpZif7pjnbReRinJ9toI//XLl5JFwf9+eRN3XDe/X9dlsVgsAxFjDI1xF5k1FLIgEu/c5JhURAjQLQ0c/Hd4NVuQBHTlVh4JQgy59GZ2/+uXeHu2kzVhNvkLLqHRs1VQqYR10noZDfzlqTWturb2NETZsL2BcRW5NppmsQwAXDcx2NkfwCPX0o2BVOtrDMicQkQoAxPfr6ifOW4WvuiaeKsXgMkcQtH530AK8I2i0Rt4A8rTHesydxDXVYTDTqeU6/chD54xBHs/Z2BeDUrJDo9hGqw4rkRLgVCyS+eUJTWQShBIyZK3trPs/V0IR6FSbHSYZWAQ0SGGXHIzofJRCDeD7KkLyJ9/EbFuiLf6vqbZD9HohYj41kFLRWwk7QhIKTBS8uK7O9le08zJs4aTn+V2WCtLApecOpE311Ynn+zKi7IYNSSXYIA9dUspMEqyenMdexoizJo0BEcajG3nboV0Ff9+ZTPPv7mNIUVZfPqcKWSHVKeiqkKAchSBMShICf2nwYYQgohv+OKPlhDb2/lbUpDBD6+1pQyWnsfzwWRVUHT+fyGFwTMujZ60jtUAxzppR8BIyY2/fplt1U0APPLCBm65+jhGlWV36MYYBJrivDA/v/5EnlmxlZKCDOZMHoI0esCNZzJScvNvXmXTjgYAfqve447r5pOf6Qyo1EN3UK7i0Zc28cAzawHYVt3Emrtq+emXT+z4ZyiJDzy4ZD07apo5ZfYIJgwvwAwwpz/VUY7kwcffTzpoADV1Ud5ZX8MxY4ut42zpMkJApvJwSLSk+sIl4jv4vsZnYM2m7AhKSTJFFCkMgZFEdGjQ3FOsk3YYpBTsrG1JOmj7uP+J1dxwycwOT9s0gSbTEZx3wmiMMXjewJufKaVgW01z0kED8APNvY+t5j8/Oo2BmtrtLF5gWPL61la2xhaP3fVRinPcDj0VB0LwtZ+/QE1dojZl+aoqPnfB0cw9qsxqufUx0XbkdKLxYK9QtcXSNXJdn9rH76Zl7TIAsibMpuDUq2iMD77OS8eBjMgOqh/6MX7tDsJDJ1By7hdpIntQOGq2eKILdCW8bPbqow3Um6gQos3geIBI3Lfu2QEIoLQws409J6tjDpoQgt310aSDto+HX9hAzKaV+xQdaD564jgO9Mcyww4zJ1ln2dJ1HEcR++DtpIMG0LLmNeJb38NxBt8tO0vEqfrzd/BrdwAQ27aG3Y/8jAzpHeGdA4PBd8Q7gdaGssIsKkqyW9kvPmUirv3mWhEEmjFD88nLbh2K/8iJ43BsUCGJI+Dq86aREdrfWHH6caMIdXjzNYTbacrICjsdjuxaegatDQVZLnd+cSEnzRzGWceP5idfXoiyjyWWbqCUILblvTb22Ob3BmVTivGj6EjrmZrRLatw5OAoJ7DpziOgjOZ718zjpbe2s72mmVNmj6Qg27X1Ju2gjOGOLyzgoefWs7s+ylnHj2ZoSZb9rg4gCDQFWS6/+Ooittc0U5QbTjhsHWwaMAZys1ymji3m3fW7gUSq+VNnTcaVYL/qvsVoQ0Gmw3+ccRRCgO8FaBtEs3QD39dkTTqOxjefamXPmjiX2CC8wIUTbiM9Eiof3dEtM+0RJo1lmHfvbuq1nHRpaS7V1fu9d9dVSJkYsD0Y8uBdRYhEuD4wIHphqsLBxyWdkVJ06VwSAlCKzVWN7KhpZsbEMkJKdLjjuDcYSMdloJBOx0QIgVKCINADvluxI8clx/WJvPMU9a88BAgKjvsI4amLaPYGX1wlpAxq9zpq/nEnOtaCyi2m/MIbaXGLe/T+0tvXi5SC4uKcTr9v8B3xLmJrTDqGMen5Xe2TtDAG6KORXV119o0B/IBRZdmMGZKL5wVW5sSStmQ7HiJaR3zbZrKGTiDuZBH1B7fOYpPnEJ62mMppizBAnBDNg6MEqw3xQBAqGU/FlXdiAg9UiBYdHjRC8NZJswx6lBJ4RvD359ZTUxvhjONHU1mcdcQUpJQCY+i3mYBBYAiC9HOILZZ9ZDoBLSseoeHVh5O2knO/SGjYDOLe4H7wiHkQG4RyG+0R9yFOGAgnxvgMorrPwVeFOEgQSoKjiAQGHIUchAWnHUULyVd++gIPP7+Bpe/s4MZfLWX99gYcp/2neaUEOIrNNS1UN8YS36+dGmCxdBoXj4bXHm1lq33qfwgT66cVWSyphY2kDUCkkqzd3sAP/7icuK/JDDt864o5DC3KHDQh4o4ipWDjjgbqmlrfFP6+ZB3XXzyjTcekEOAZwVd++jx1jYn3jBtWwDc/9SFsxbjF0kl0AKb1nhREmm2nsqVbhFyBMj6+cPG89L7n2fDKACQAfvyn14nv7QSKxHx+9KcVtFUxSw/2NSMgZa80bWSE2z6rhEOq3ZmrylH84/n1SQcNYN3WOtZvqx+U7fEWS3fQKkSoYmwrW860BcRt/MDSBaQU5IU8/DcfpvFfP4F1z5MbStc7XwJ7JQxA/MDQHG19YtbURTGGtHtCVUrgI/nbknVs2t7A/BlDmTN5CNrrmQtPa8OQoixGVeQlpyU4SnD54qOQ0GYyhDGwqzbS5nOq61qYOCwfWyJmORJCJEaoaZP4fwn92pl7IEIIpBR9FnFvCUKUnf81Gl57lNj2NWSN/xBZUxfSELMPPJbOk6Xi1Dz4A2LbE2P3IpveJrdmKxlzLyTqpdvdL4F10gYgjhJUlGSzo6Y5aZs4srDXwqZSCrQQ+IFBSoESPXfTCRD89937Z6e+u2E31bURzp43kqCHNIOE1nz703N4f3MtNXVRZk8pxz3EjUpgOH3eKF5duTNpc5Tg2InladnVmhKohMMS9zUZrkLRN921h0IoiUZgjEEKENr0aHOIcBx+9eDbvLpyJ0oKzl0wlrOOH9VhrbxeQ0nqmj22VTcxYUQBrux9WRetDfXxEOEPfZQM7RHIMA2x1HBYLemH1PGkg7aPpjefJm/uR4mmaROGddIGIA7w7U/P4WcPvMXazbVMGVPM5y44GomhV7Y/Jbntf5fz/ge1AJwyewSXnDqxRwZ+R+NBm9mpj7+yidOPG9ljUUGtDeiAySMKECPFYSUtfF8zsiyHr10+i78/t56MsOKTp0/eq1M2eDqOegwlefC59Tz64kYAhhRn8Z3PzEMJ0T9ds0ry9+c38OhLG9HaMGNCKV+4cAamhyK3jqt4/u1tSSc/0IYHl6xjzpQhlOeHO5TOF0JgpCAwIHsoEieU5M9Pr+XxVz4AEp/77SvnMro8p0/EqGMegNv/jqolvRGKRL5o/3Ukwplp3QtqnbQBSBBoMpTg+otnYEhs4sKYXqnnchzJ48u2JB00gCdf28yiWcOpKMjo9u902+mwzMkK9UoHdkdvRibQTB1VyIThxyZEOME2ZHQBIaAx6icdNICdu1v40xPvc/niiRi/b7dWKQVVdVEefmFD0vbGmmqee2Mri2YM7ZFIqTaGt9bWtLGv2rSHymOHojvQfCIcxU/+8gZvrqlGScF5C8dy5rxR3XJwAkPSQUusE+5+6F1uuWpu2pVIWAYvHg65MxfTuOLfSVvRok8SM2HSVbbDJv4HKFobCDQi0JhA99qUBG1o5aDtY92Wuh4ppFcSFs0anvy3FHDVOVP7fXaq5wWIvd9xOjpoUgpQEg+BUSoh2dLna5CtUvL72LSjAb8fopJKSd7fvKeN/Z31uwl6KKqnBMyaVNbGPm1sx9TTHVfy1PLNvLmmGkhE4v727Dr2NMa6JQMTbyfqXdcUS78i1hRFSkEo5Njmol4m4jtkz/0oFZ/8PkWLr6byqh8jRxxNvI8f+HoSG0mzdAspYN60CpavqmplP3p8ac+kSQLNZadN4ozjRrG5qpFp40pwRMejXpa2CAFaSr77P6+xfls9Ugo+unAsZ3QzGtNZgkAzZmh+m/FY86ZXEnIkfh/X+Pm+ZtrYkjb22ZPLUYIeKRXwPM2cKRW8v7mWJa9vw3UkHz95PIW5YXQHvvtAw8oNu9vY126uo3zakA5F4tojw3WoKM5mx+79TvOpc0bgCNGmecbSObJcH9FYRWTd64SHTSLIGIuNj/QezZ6LzKxEjhlGUxBg0ru5E3XTTTfd1N+L6CqRSLzX5rxlZ4dpaYn3zocPILQ2VJblgBBs3N5AdqbLZz4yjZFlOT1XU2QM2RkOQ0uyKS3KprkpPYQupZJoKYkFBsdNSHqkwqhc5UgeXLKeV/bWRRkD723aw6IPDSfD6drNo6vXiyNhxqRy1myuI9CaxXNHcubxown6qQkjM+xQUpjJ6k21GGM4ZfYIFs8d1aPrMVpz9PhSzp4/hjOPH83YyvwO15Q5jsQPDK+/v6uV/RNnHIV7UCStM8dEScGJs4YT9wKUlJy3cCynzh6B7oG60sFM2AV/1RJqHrqT2JZVNK98gaC5nuzRU/G0ddR6C2M6P3avt+/5QgiysjrfvHDESJrv+zhO65fV19eTn5/f6V9mGZhoL+Aj80dzzvwxYAyOFD0eBdG6d2rqegulJDvrotzy21dojvpkhh2+/olZjCzL6VDEpDfxA8OaLXVt7Jt3NjJ9dFGfpm91YBhVls0tV80FAY6AoIeK9LuCCTQLpldw/LQKQCSabXphPSbQyUxiZ75t3ws4fnoFG7bV8+zrWwm7issWTyI30+1W80AQaKSAiz48gUBrXNXz1/BgJESMHS8+0MrW9M5z5M+/iN5KZGW4ECKOAWKEB/14rXTnkK78u+++y0knncSMGTP44he/SFPT/g67T33qU32xNksaEfga/AACvX9zV5JASmIGUJ0bneQ4EqEkylGIdkRlUx0f+OF9y5N6dZGYz+33rUiJ1JHrSGZPHtLKJgSMH17QL/V1vq8ROlE/2VOyKt0h8HUirxgE/e5Qt4f2Ai47bSK/+caHuesrJ3HCtIoeSVMbA9pP1Fr6aa7SnioIRDuTSAy9VcSeG/KJv/Ew2+++jp2/ux7Wv0SWkxr5PiEErmtH6HWWQzpp3/3ud7nppptYsmQJjuNw5ZVXEo8nQoGpkLKxpDZCKe59/H2u+t5TXHPbM9z021fQsmPhfeEoVm2p5ycPvMX/Pr4az5B2BbfGJASED6SxxeuXgviD8b2Ak2cN58MfGoGjBAW5Yb5y6UzCafYdD2bMXieSICCwKcmUJY5L7qwzWtkyx8wgED0fRXMcibf1PeqXPojxouhII7sfuxsZ2dPvjlGm45MT7MasfpqMxk3kuKnhOKYDhzxTotEoCxcuBOD222/nuuuu4xvf+AZ33HFHny3Okp5IKdhVH+GZ5VuSts07G3nkxY185ITR+Ie5qTiO5K2Nu7njvteTttdW7uQnXz4Rx5HUN8UwUhJSIqXFY6WAMUPz2bCtPmmrKMnGUSKhd9DPGN/nstMmcslpE8EYlCAlolgWy0Ai6glyZp1FuGIcLe+/THj4FHKOmktdpOMPRPscrCOVezhC07JqaRt7ZP3rONPPJB7vn/0y5AiCzW+y69GfJ23Z004kZ/5ltPi2d/FIHPJM0Vqze/f+LqLbbruNdevWcdddd6Vl+snSd0gp+GDviKUD2bCtHv8IG42nDY++sLGVrbHFo7E5zqot9Xzr10v5zu9fY9WWun6RjTgUSgkOvCwUhq9/YhaTRxclU4nfumI2Topo9exLbe1LUVsHzWLpHZriDn7FdLIWXQ3j5uNk53eo4U0IQa7rkdmyjXDtWvJCcZQ69L03QBIaNrGNPVw5nqAfHwzDRKl79t5WtuZ3luDg9dOK0otDurFXXHEF5513Ht/5zndYuHAhmZmZ/PKXv+Syyy6jqqrqUG+zWAgCzdSxJYkZhQfsDfOPrsRVcLhyFykEOVluK1tpYSZxX/P9PyxL2r73+2X86AsLKMp2+7WhQChBYATrttVTUZxNdoazVzvNEJKCr1xyLAiB0SZRFJ+CNU4Wi6V38X1NIsHX8WhWjhtn9wFzKGVmLhWfuo1GkdWuk+d5mrzJ84msWUZ0y+BT/4gAACAASURBVHsAZE85AVk8gqA/awyFQMejbe3G7oUd4ZChiHPPPZc//OEPrFy5MmmrrKzkgQcesJE0y2ExBjIcyTc++SHKi7LIznS5YNF4Zh1VhneEzUJiEnICB0hBnDJ7BM+s2NLmtc+s2ILrtp1I0Fc4jmRLdQtX3/o03/v9Mj5/xxL+8cLGZIRvn6AwfoDQ6Sl6a7FY+h6lJH71B63mUOpIIw2vPEToMBnCxrhL4dlfYug1dzH0P39JzsJP0eS5h35DH+DhkjtzcStbuHIcWqbnLM2+5rAJ4TFjxvDoo49SVVXFN7/5TXbt2sWXv/xl5s2b11frs6QpRmsmDc/ne9ckzpWEtMKRnyKDwJCX6fLLry7i3Q27Kc7LYHRlHs+/ua3Na0eU5/ZrFM3T8KsH3261hodfWM/Z80dbqUqLxdJlhICgoe34ML+hhgwTAO0/nBpjaPJdoH8dswOJeoLcWWcRKh1Oy6qlhConkD19EU1+iHQd1dSXHPFe8te//hXf9zn//PO59NJL+djHPsbdd9/dF2uzpDm+l5BV6Ky0ggk0UmuOHVfM8JIs4lGP46ZVMGJIbvI1I4fk8qHJ5f3aPCCEoLaxtbCuMeDZ+i6LxdINfF+TMfpoUK3jKLnHnoafQg5YR2mMO+gRs8k+9XOoaafTEO+dMpUsxyfPaSHHryEvFE80aqU5R2ytEEIQCoWIRCJorW2q09JnHDj6SQSam66cS0NzHK0NhbnhxFzSflyfFHDSzGH8a+mmpG1IcRZhRyXkESx9ghACqSSBNrgp3vVrsXSUqMmg4pPfp27JfehoM3mzz0KUjU1bDTvPC/CQ9MyAtbZkOT6RN/5Jw8t/B0Bm5THksv9HsyxIKyH0gzmik3b22WczY8YM/vGPf1BTU8P111/P008/zS9/+cu+WJ/FAuyt79IBY4cVUFPTiPGDfg+Uaz/g4yePpyA3zCvv7mRURR6XnDoRhUkJ0drBgFKSmDb85fHVVNdGOG3uSCaPKsJY7TBLmhMPBEG4jNzF1yKMwZMZRO0DyCFxdDTpoAHolgZqn/wdead/nhadvlIfR1z5tddey3nnnQdAdnY2f/rTn7jzzjt7fWGW9EcpQYDACwyOEijoEQX3VNJS1l7A4tkjWHTsMBwlMYEmSOOntnQjEIKv/PR5GpoTQttvr6vhCx8/hpkTS+1YI0vaEwSGyL7btI3OHxIhBEFz21F33p7tCBPQWyO4+oIjrnyfg7YP13X56le/2msLsgwMlJI0xQNu+e2rVO1pIS87xA2XzWR4SRY6BcRcexLfCxJBfBu9SeI4Es8kNk+RmHbc4861lIItu5qSDto+Hn1pI9PGFg/o5g2lJEpJgsB2DVssxhic/DKEm4Hx9st9ZE08Dl+GO6N8knIM5H2sVxBKYpRKzqM8nLjgYMY3cPt9K6ja0wJAQ3OcW/+wjMCecgMeoSTvb2vgKz99gSu/+yT3PLwSnO5JpSSuO0ncAHsdFGMgO7NtEXVOVqjfx+D0JsJRfFDdzF+fW8+mXU2Ibn63FstAoEWHGHLZLYQrxyOz8sideTq5c84hluaauekbA+wHhJIsW72Lux96Bz8wlBRk8P+unkemI9K6MLE3EFKwcXvrqQPNUZ+4FxA+yE9TjkqkRCUYbexs2DQnMPD937/Gvkti6Ts7KCvK5CPzx3RtsoGSPP7aZv7vqTVoAxXF2dxy9XE4QGFumKlji3l3fWI6iutIPnXmZBQdf3h2HIlvQJB4ak3lyJRUkgefX8/Dz28A4KHn1nPOgjF8dMEYtO0qtgxiPB90xhAKzr0BicGXIRpi6f+wZp20TqDZq4u19+ZTUxfllw++zRcvPAar93IQxjBhRCFrNtcmTXnZIcLu/s5HIUA4Do+8uIHX3qtiVGUel59+FCEpUvpGaTk0Ugo+qGrk4GeW5at2cda8runHRT3Nn59ck/z3jt3N/PHfq7jirKMwQcCXLz6WHTXN1NRHmTKmCIdOOFpKsm5HI399Zi0hV3HZaZMozgthUjQlHyD454utx6b966WNnDt/LOl/O7JYukcQaFrYK5KbxinOA7G5p07Q0Bxvc/PZtKOhjc2SmF15/SXHMmZoPgBlhZn896fnIA9wZoWS3PvYav767Do2VzXy/Bvb+O9fvzxQrq1BidaGipLsNvYJIwq7pFkkpWDXnuY29o07GvADk6hz8wOGFmUyY2wRMtAdbk5RSrCrLsItv32V9zbu4c011XztrheJ+YbUVRpqG2lO7D92E7IMblxXoVJonnNPYSNpnSA/J0xGSBGN73cjjp1UhiNB28BPK4LAkKEkN37qQ2iTiJo5glbpLo3guTe2tnrfjt3NxDzdJiVqSR/CSvIfZ03mj/9ehR8YRlXkcelpE7sUndLaMKwsFyVFq67Z2ZPLcZUk2NusobXpdMmBkLKVxh1AoA1L39nBKTOHpaTemgQWzRrBU8s2J20nzxqOxLpplsFJ2DGEdQuRNa/j5peSPWQsjV5owJTNWCetEyijueXq4/jp/73J9uomZk8ZwidPT6RcLG3Zl3La528d/C0ZbSjOz2Dn7pakTQoIuTIx89KSlhitWXB0JSccXYkfJARmFYagi5umAr595Vx+8be3qKmLcuKxQzn7hDEEnt+tdQoBpQWZbewlBZk9usG7riIeJKJziu7VvJlAc9niiRw9voQVq3cxc1IZ08YWo1PQoRyMCJFaEkEDHaUkbvM2tv3xRtCJayBcMY7ij36Nxn6eWdpTWCetEwSBYUhBBjdfORch90oLBD0vLTBYcCX85/lHc/NvXklGST528gQbFRgAmEAj2DtBMOieuK/RmlFl2Xz3M/MQUiAxGL97DhqAFw84Y95onlm+JTnea0R5LtPGFOP3kJyKUJJ3N9Xy4JJ1ZIQcPnHGUZTkhjHdCL1rL+DoMUXMGF+MDozVg0sBMpyAkPDQzfWonAIiQYh4kLI58wFDWMSpXXJf0kEDiO1Yh26qQWRUDohomnXSOonvJ24+aOtIdBff1wwvyebub5zM5p2NlBdnk+EmBGEtlgM58LrrybPDQfOjLyzgg52NhFxFRXEWQvfMuDGlJJt2NXHbH5cnbV+/60V+8dVF3Z6+6Psauu+nWnqAsKPRm5az7d+/BqMRToiyC7+Jzh+F79u7RK9iNCYeaWv2YojMgRHVtJU/ln7F6MQA9tHlOWRIbJrT0qcEgcH4AaPKsqkszMD4QY/J6Rgh+PfLm1r/Pm1YvqoK1z28tplUAhxFJDAYpRADsCB6oBAWHnue+C2YxN5l/Di7H/05GcT6eWUDn7jIIG/OOa1sKrsAp6hywMhi2UhaH+K6Cl8blCRth+T2FgPlgrKkJ71x/kkBZUVZbeylhZmH/X2OI9lRF+Xm37xCS9THdSRfuvhYJo8o6JGxapYeJvAwfuupF359DQNYTzll8H1NqHIKZRfeSNMbj6Pyy8iffTZNQZiBkuuyj2d9hHQUK9bW8NO/vsVDL24CRw1oVXSLZTAgBChHoqXAOUj5P/ADzpk/hsLccNI2dlg+44cVHLZ5wDPwo/tfpyWayGd6vuZn//cm2iqhpSRGhXAKylvZMsfOwMdOgugLWnyHeNEEck75T8KzP06Dn0GQojqHXcFG0voAx1E8vmwL9z2+GoA33q/mtZU7ueWq4xgwinuWlEdKgZaSpoiHFILsDGdv48vA2dD6kn3f5/89u47VH+xhxoRSzjp+NMYPMCZRD+NiuOMLC9i2q4mMsENxfkaHat72jVPbRyTmE/cDQtZPSzladAblF/03tU//gfDQcWSOOQaVlUeLcenZCkrLoQgCTSQQDJTo2YFYJ60P8LThny+1VgnfuquJSNwn087+tPQRRilu+c0rbNqRGNc1aUQhX//kLIztDuwSWghu/d/lyaka67fWs726mavOmZKsrUw80QcML8lKOG5+cMTbtgCmjinm3Q27k7aywkxCjpWmSUWCQNMkcyhefBW1z91P7fN/QWXmUHjKFWRUTiXq24iapevYdGcfkZXR1h92Hfv1W/oG11W89Pb2pIMGsHpzLW+tq2mTprN0DF+bVmPPAF55d0e7aUndiZm00hi+dPGxzDyqjJAjOWpUETdfdRyqnSiB4yiMkqAkjmv3k/7CUdD49rM0vf0s6ICguZ6ah+4kpFuO/GaL5TDYSFof4Eq44uwpfPf3ryVbgo+fXoEjRWIatcXSyyQG3te3sW/a0cDM8aX9sKL0R0mBoyT+AdGt7EyX7qZctDYoqbn2o9PRJCJrCtOmzkYoyUsrd/LnJ9/HGLhg0XjmH12J6SGNN0vHcXScpnXL29hj29ehhs60s4gtXcY6aX2A72vGVObxixsW8dbaakYMyaOiOMtupj2EUpIAQUvMJ+TKvc6v3RQPJPADTp41gqeXbWlln3/M0B4Tbh1sSODSxZP4wz/fS9quOm9aYvxZNz870f1pkjG5gz9PSsHO2gi//vs7SdvvHlnJqIo8RpZmW6egjwmkS6hyPLFta1rZ3dIRxO3MQEs3sE5aXxFoMhQcP3UIQaDR9sbYIwiR0PT85q9eSo6X+vCHhnPJqROto3YAQWCoKMrkCxcewwNPr0VKwSWnTqQwO2RlHbqICTQLj6lkzuRyNlc1MroyH1eJVvNpe4t96euDeeHNbYw9fVLSSTNSYoCQEnYyQS8S9yF/zrnEtqwivnMDCEne3PPQGfkYr79XZ0lnrJPWhxhDSg5tPhxKCQIkMT/AVTKh/ZNCN3WpFH9+ak2r+Z9PLdvCGfNGU5jl2s7FAzCBZub4UqaPLQEgpMCzen3dI9BkOoKjhu+V1eij8oUg0EwcUcgjtG5ImjSyEK0NQgrWbK7lnn+8Q31TnDPmjWL+0ZV2xmcvYQw0+mGKz/8GUsdBOnjGocWz9Z6W7mGdNMshSUSpJN++52W27moC4MzjR3P+iWNTxlHzteaDnQ1t7NuqmygeXTSg9HJ6At8Pkik065/1DMZ0b2h6V/B9zZQxxcyYUMYba3YBMG1cMTMnleF5AVpKvvbzF/D3nv+/fXglWRkusyeWWMe8l9Da0KRdwLXKSpYewzpplkMileIvT61JOmgA/3xpI6fMHkF+hpMSUaqQksw/eiirN+3vspNSMHFkoa3LsQxsgoDPf2w6/t7pBY4UGF/jOJK3NuxJOmj7eHrZZmaMK+mPlVosli5inbR+xnUTkwc8r+dmBvYUvjZs3N42SrV1VxOFowpTIkrleQHHT6+gtjHGE69+QH5OmKvOnYorBSYF1mex9BbGAIHev4kHBgNoDeXtjKOqKMlBWak1iyWtsE5aPyGlwCjFC+9s54OdjZw8awSl+WFMCu2groLjplfw/gFaUFLAhBGHH2vT12gv4Ox5Izl97kggUSSdbrV/FktPobWhtCCTOVPKeXVlFQCFuWEu+vAEtH1wsVjSCuuk9RNaylbq74+/8gE3XDaT6aMLU6ZmxPc0J84Yxu66KE8t20x+Toirz5uWklGqwNe21spi2UcQcN2FM6htiBGJ+ZTkZyCNTonod6qhlERrTVeqN5QSZMkYIvBAOURNiLifulNkHEcSJpqoN5ZhojF7PqQ61knrB4SA+uZ4K/V3gL88uYZJn56TUmOUtedzwYlj+MjCsRhjcGWiaNlisaQuxkBedphYS5xsN4TxA1vLfhBhpQkTJV61EbeoEh3OJUDh6BiBcIlp57AlKEpJsoI6dt3/Hfz6XYhwFqVnf55Q6UTiQepNfwgrg9PwAUHTHpzsAkSkgYLK8bTocEo7loMd66SlEEKAOUDAsreRSu7duAUKc0i9rH26TwKw/pnFkl6kQoNPquE4Elmzhm0P3Aomsanlzz2XcOUEdj35O0JlIyk65QqaVe4ho48ZIsruR3+GX5/orjWxFqofupPKz/yMeBA+4hqEEEgp+qx0JCyiRHdtIrZjPU3vLEmsQbkMuewWdPZQ+/CdoqSeuz8ISDzlhhgzNL+V/eLTJhGSfeOiCUfx0Isb+cytz3D195/igSXrEXaGo8ViGQRkEGXPY/ckHTSA+lcfwckrImjcTWT961TdfzNZMnbIz1ACYjs3tLIZP47xokf8/dmuR7ZXjbPzLfJUC2F1eAdJCMhwNTlOjCzHR6nO3SeUksR2rCc8ZEzSQQMwgceeJ35DyBx5zZb+wUbS+gmpNd+6YjYrVu3ig6pGTjp2GIU5oT55mlFKsmFnIw89tz5p++dLG5k+roSjhufbJyqLxdIjKCUT9U8ptqdIAUFzXWuj0aD3J4X9hmqEHwNC7X6GbySZI6YQ2fT2/s8NZyHcTDjMlIEg0kTTS/9H05tPJgxCUn7Rt3AKx7U7ok0IyHU96p+/n5Z1KwiVDKdo8dW0qIIO1xhqbXALy9Etbef3+k21SGGjramKjaT1E1objBcw56gyLlo0jqJst9OdnUJ0LermOJLlq6ra2Je9V4VSg/eUcF2FcCSOayOKFkt3kFIgHMWabfWsWFuDUTKl9pa4ccietrCVzS0eStB8gBMjFTjtO2gAUe1SdMY1hIdNBMDJL6PswhuJ6EO/B0DHI/sdNACj2fPkbwkTaff1GY6m7pk/0PT2s+iWBqKbV1J1/7fJPkyU72CMMZjMAmRWHiq7oNXPcqadiCeOnJ619A82ktbPdEUqQjmJgeJVtS3kZIbICqtOiR/5vmbGhFL++VLrkTLHTixNKWmNvkS6ihVra3jhzW2MGZrPGceNQmidctp1Fktv4DgKTyd01kI90BxkpORbd++fVJIRUtz5pYVkSJESNXJRX5I//yKcvBJa1rxKqHwMBcd/lF1//cHeVwgKT7yUuDn0LVJrQxNZFJ7zFZTQaCOIknHE7854bZ2roLmexJTVtjj4tKx5rfXrm+owXoRDRfnao9lzyc4qoeLy/8eeJffh79lB9uQTyJx6Eo3xDn+MpY+xTlqaIaUg4hm++vPnaWhOXFnzplVw5TlTOuyoBYFm7NB8Fh83kide3QzGcNKs4UweXTQohzA7juJfr3zAn59cA8CK1btY9l4V/33FbDjExmmxDBSEFGza1cT/PLqSSMzn7PljmDe1AtNO6q0jKCVZu62+1aSSaDzg/55aw6fOOIogRfaYhphDaNrpFE5ZhJYuUQNlH/sv/IYaVE4hnggR8Q8fVdfa0KzdAy1H/L0yIwcnvyzZcACQM33RIaNZ2oBbVEF81wf7jUIi3PBh06rt0RyXSJlH9qKrkCbAl2Ea43aPS2Wsk5ZuSMG9/3wv6aABLH1nBxcsGt+pgeLGD7hw0Xg+tmh84mNh0A5f9oxpE1XctKOBmK8JH5RRllLgOJIgMIM26mhJfRxX0RzxcBx52MiOEBALDDfd8zL7gsb3PPQuhbkZTB1Z0KWImhDQ2NI2NNPU4qVEFO1A4p4hTig5azNGGJE1FNOLW6GTU0D5pTdT/9IDeNWbyZo0j8zJCw4ZzYqRQfEZ17Dz/psw8SgISeGiTxA3bvtvOAJaG6JaAQqsbl7KY520NCPQhqo9LW3sNfURinNCnRKrNMF+AdjBfqlmhh0aW1o/ljpKJmbs7EUoSW1znNdWVjFuWH6iOzcIuiSCabH0BkoJAiF58PkNbNrRwIJjhjJjQukho2KOo3j5nR0cnNV/ZvkWjhpZ0O57joTva6aNKyEz7BCJ+Un7uQvHkg716X1xPTcGmWSecDnZ2sOXGTTGD+0M+74mljWEyqt/im6uQ2bmEidE9AhRPsvAwDppKYTjKuJBQiftUKONXClZNGs4a7fs70wKOZKxQwsIgsEZCesurhD8x1lTuO2Py5O2E44eyoFd7o4jWbG2hp/85c2kbc6UIXz2vKl2GKIlZQgQ/PcBtWBvrqnm4lMnsnj2CIJ2HDWtNUNLc9rYh5fnoAT4bX7SMRzgR19cwANPr6WxOc55C8dSWZxlo897MQaingBCHdo/PB88QuCWdf2gdJFE9kARBNoev37AOmkpgnAUz721nYdf2EBm2OE/zpzMqPJcjG59Ufh+wHFThxD3Ap54dTOFuWE+fc6UhBhtP6093fH9gInDC7jrhpN4c001oyryqCzJbhV98Az88d+rW73v1ZU7ufKcqdjnWUuqEIkHrWrBAP69dBMnzxrebit/EBhGlOdy7MQyXn8/USNVXpTF2SeM6VZ9qg40GVLwydMnYQwIY8sD0pEsx0c0VxNZt5xw5QSc8rE0eY7NHvQh1knrJYTYV7t05A5Bx5G8u6mW3z68Mmm75Xev8osbFpGh2obftRdw0oyhHD+9AikECuwG2F20JssRLJhekThm7UQdvPYiEcZYJ82SMrhOW1csK8M5/BSTIODaC6YTiQfEPU1+dghlTLfHSBljUqZJwNJ5Qg54619lz+P3JG1Zk+aRu+gKWnzrOvQV9pvuBYSSNMd83li5kzGV+W2iMgejgWdXbGllMwZWvL+LhdMr2k17+l6w98m4+5upJYExh5ZEcYTg3AVjufex/dG08cMLcJWwxbeWlMGRIpGqV4J50yrQ2lBakJmYuXuI5zhjgECTqQRZjsIEds6nBcIizs7n/9TK1rJ6KYWLLqe3XAelBJkihjQBRkqiJozXx+ndVMM6aT2M40reXL+HH93/etJ24sxhfGLxpEPWHighGDkkl2UHCcwOL8tBaxshSwUCP+DkWcMZMSSX59/YxoQRhSw4ZigEgU0zW7qM40jiOjEX1+0BfTICzafPmcILb27lVw++jaMkly6eRHFex8RKbRrLciCmvTpn0zs7npSCbNFC9d9+QLxqIzIzh5Izr0WWTiCWggPr+4rB+5f3Ep6G3z/6XivbkhVbDxts8byAM44fTWVJdtI2c1IZI8oPPdzX0jUcR6KlQDqq0xMbjB8waVg+V58zhZOOqUR7vhW7tXQZ4SheWlnFN3+1lJt/9yrrtjciZPe2ZKUkG7fX87tH3qO2MUZ1XYQf//kNapviyD6aC2wZGMSNS97ss1rZMkZOIZAdF9DtDBnSY8/j9xCvSsgh6UgTu/5+Oxmyk2Jw7bBPOikdsZG0HkYgWrWd7yPQh69dUkbznc/Moyni4TqSsCvBdmv2GEKAcBweWbqRZe9VMWZoPpecOhFXik7V86XaDML+xnU77+z2FY4j8TQgEsOwTaBTJlLkOJI12+r59d/fSdr+3/+8ys+/chJZjujyOqWSPPf61jb2V97dwTnHjyYeT9/cUeI0S42JBYOBmC/IOeY0QuWjaVn1EuFhk8iceByNcZfeEG2SBMS2tm7OIvAJIo3gdH1sVY7rQVMN8d3byRs+iRiZaRWZ69WVPvLII5xxxhmccsop3HfffYd83ZIlS1i0aFFvLqXPUALOPH50K9u4YQWE1OFvZEFgIAjICUnCEkihG8pAQCjFHx9bxQNPr2XTjgaeWb6Fb9/ziq296SJKCXAUS97aziNLN7FzdzPiCOd4XyKVoLohxnf/sIzr7ljCfU+sQTip80xqEDy9vG0d6msrd+I43WhFMYZxw9vqm40dWpC2pRNCJOaA1rb4VDVEwVEpNQd0INMUd/DLp5K16GoYv5CGmNNrTrJGER4+qZVNKBeVmdvlz8xyfBqe+yM7/vANdj/6M7b96vOo2o1pFVXrtV2rqqqKO++8kwcffJBQKMRFF13EnDlzGDduXKvX1dTUcNttt/XWMvqcwA84a94ohpXl8OJb2xk/rIBT545ABNrWLvUjGnju9W2tbNuqm4j7mlDq+BZpgxaS63/yPLWNiTmEf3t2HT/+0kJyQjIlUsBaSL75q6VE4wk3/MnXNhN2FR87aVy7emF9jRQwckguL7+zo5V9eHlut74/zws44ehKnn9jW1JLccaEMiaMKMBPgb+7SyjJ9/6wLPn3lBZkctu1J/TzogYPvq/3SrP17nUd1S5Fp15FddMPie/cgMzKo+Ssa4keYWD94XBMjOZ3n99vMJo9T/6O4gu/jd+Juaf9Sa85aUuXLmXu3LkUFCSe6k477TQee+wxrr322lavu/HGG7n22mu54447emspfY72A2aOL+GYscVIKfC94P+zd96BcV1V/v/ce9+bUS9WsyW5F7l3x4njkkp6nJBGAglhQ0ILKcAuC1nKEthlYSFAfiwQWggQSIAAKSQxKcQhLrFjp7n3bkuW1aUp7937+2OkcSayHUvWSDPS/fwVHc9IL3PfvPd9557zPSnh6C+VRCOIeD4BRyIx6AFS82aMoTAvSE1dWzwmRbtlgbUv6RKOI1m77XBcoAF4vuZPL27h5osmgO5bMSAE1NS3xQVaByvWHeCKRaNTohA3GvV539zhvPz6fvbVxHzNpo0pZnRF/imLSOFrvnDTbKLagKG9A7n310QpiQ9EPI3rKCQG08XvmuNINuyuTzDvrqlv42/LdnL5mSMG5Kzh/krHwPqi938BiYcRkpDJIOp1/x5lvM71bH5b03GH2aciSRNp1dXVlJSUxH8uLS3lzTffTHjNQw89xMSJE5k2bVqyDqPP6LBy6OP7VRypJPuPtPFfD75Kc1uUvOwAX75lLiV5QfwBUGflCvjkVVO59xevxjMVV58zFkns+VA5Et/EUmpKkBLZllTGO4a491MggwaxbcOC3M41LENLc0ml2nllNPd+7AyaWiM4SpIZcHpETMXOb0N5SS41NU3gm16/JQkhiGj4yk+Xs/9wC0oKbrp4AgumlXfpoUgIwYEjLZ3i+w83H+PVlnRHa0OzdoGOuaSneOYGsnAKyvDqjzon5M68gMhxhtmnIkkTacfat35ngfHmzZtZsmQJDz74IAcPHuzW3ygq6jzOpCcpKen+XniqcaQxxP/8ehXNbbEni8aWCN/69Wr+986FlBRmv8e7U4vursvkrCA//eJ57DrQyJDibPJzguRmBWhsifDUK9t57MWtALz/7DFccuYo8rL7Ph3eIfZdN7Usc2eNl+RmufF5p1IKrjlnLIMKs/r4yGI0t0X54IXjefjZjXHR9rH3T6VkUOqd6yVJ/Mz6OlugJwAAIABJREFU6hrWGoryg0deZ//hmMDyteGXT65n3tRyBnfxmM6YMoSHnlqfMF/04jNGUliQGudad+hP95ZUp/zGe6lf9hiR6t3kTJpP9oQzUFnH/vxTcV2SJtLKyspYvfroLMTq6mpKS0vjPz/zzDPU1NRw1VVXEY1Gqa6u5oYbbuDhhx8+6b9RW9uctPqXko6n0H6Ch6ChOZIQq65rIxzx0+r/81TXRQCjynIwxhBqCRMNRdlZ3czDz26Kv+bhZzdRNayQEaU5XZ7k4LbPX4VT870SStAa0Tz2j61g4MqzxpAdUJ3GhPUVSkm+d/cinl2xm6a2CJfNH0WWK1LqXDpvViVnz6okFPbJynBQxqTU8SWbvryGaSHYvq+hU/xgbQsupkvX7YCSfOPjZ/LQ0xsIR32uXDSaiuKstF3L/nZvSXWECBCYex0Z+HgiwJEWDS2dP/9kr4uUoluJpaSJtHnz5nH//fdz5MgRMjMzWbJkCffee2/83++44w7uuOMOAPbu3ctNN93UJYE2kHBdBQK03/35d0oJygZlcehIazw2fHBqbf/0Fu+8QTiOZMXbRzO5QsCkkUUcrm9jbEV+1z5vFbNVePjZTfjacN154xg/rKDLdThCQNiDO7/7j/i24ktr93L/Z88+5piwvsD3NQK4/MwRICA/LzPlbjzG10ggyxHgdXbRdxyJMXakWjJwlWTW+FKefGVHPKakoLw4B93FLV3jayqKMvncDTMxGAJSWCscy0ljTMxOJCZ30u+8SVoNbVlZGXfffTc33XQTV1xxBZdeeilTp07l1ltv5a233nrvX2BBSoFwFUvfPMDPn9zA9kNNiG625zsYvvQvcxk+OJbOHV2Zzxc+PGfAG+X5vmbSqCIACnOD/NcnzmTu5MHsONDI/iOtiJNs9ZdS0Nga5d5fvMq2fQ3sPNDI//x6NdUNoS6biLquw99f3ZVQ9+X5hmdW7iQQSK0Vi0Q8IsfwBUxllJLgKN7YfoQNe+oRA8TSwXEkQkmUI5Pubed7PledM4b508qRUlBSmMmXb5mL7OYThudphNZIbaxASyOkFAQCTlpZXqQawqSxM2C/3+5Ukm/9+jU27q6Lh/7lskmcNX0IXrTrFyqlJJ6BjmnLDumXRTjWukhHxmuRu7PFKFzFT//yNgtmVPDYi1sTOsk+e8NMpo0ues8uskDA4bGl22Pbk+/g/NOG8eGLxndJyAQCiiWr9vDQ04nGjjdcUMXFc4enpCFpSnxfThKtJJ/53lIaW2Lb/6WFMUsH041OQSkFrqvQ2hx37mtf8c41EUqyu7qZvy7dTn52gGvPH0emI9FJ/P4LAUiJETEDWldYM2hIr+/KqZDleIiWw7RuWkGwfAxueRXNUTcldgKOxYDb7rScOhHPJAg0gMde3MqZU4fQnefgji2q+M+ndHSpgXQdHnluE0tf309JQSafunoaJXnBrt18PJ9bL59ES9hPEGgAv1uyiYm3nfGen7cxhoqSzl/AoWU5Xd6fjER8Fs0cyl+Wbo8LibzsAOfOHpaSAu14OI7E07FtLu37KXFxDgQUjy3dEf9cIVabuXpDNadPKO2S0BJKcqQ5wt9XbaOyJId5U4YgtE4Jn7h34jiS7Yea+epPV8RjK9Yd5IefOzupf7djcDvEngvT58y1nCoBV+BtX03t0z+OxzJHzyT/gk/Q4rkneKfl3ViRlsIca0dCpZCre1+jHMlfXt7G08t3AdDSFuU/fryMH32+a9MrOm4mxzIqONnbbTTqM3N8CSOG5LHzQCMAlaU5LJheQSTSdTnsYPje3YtYs7EaQ2yWqzKmy8JaCJBKoY1B9WImQ7qK1ZtreHH1XipKsrn6nLHEJp31bSbFIGhoCXeKN7ZEjvl9Ox6Oo9iyv5F7f7EyHvvbsp18/WNnpI7vTju+gb8u3ZYQawt7rNtRy7RRg2x2q49wXUlAhzACImT0q3UImhCHXv59Qqxt2xoGmQhH7TUsJ4MVaSmMqwQzq0pZs6k6HrvhfeNjW3qpdR/oE6K+YdmbiY7t4ajPwdoWhhRkdnl8SXaGy+jKfLbtPdqVdt2543Cl4GSun8LXfOWWudQ1hTEGBuUFEb7ultNPh5g5bXwpQsREYFeXXKrY7Mo/PreZ6iOtXHjGCMYNLcAk+eRxXMWLa/fxyyfXA/DWtsOs3niIb92+oEd+vxCxLJanY552wpx8t6Dv+Vw2fxQvrN4Tz+w5SrJgWnmXsmhRbfj93zclxPbVNFNT30ZJbjCl5ksKIcjL6mwnk5sVSKnjHEhkux7RnWupffVxpJtB4dkfwskbSiiNZkqeECGO3YluT7cuY0XacfB9jZYCgTglK4VTQWjNp6+dxqZddWzdW88ZU4YwKCfYrXq0/oiSgqFlOQkdqwBF+V0XaABSa/7jI6fx6rpDbN/fwDmzhlJakHHS43S0NqB9CrNiXyvjnfqkiVMZ5WOE4HP3vxS3Xlm7uYa7PjCDWWOLiCbxHIp4hqeX70yIHa4PUd8UpjDLOaVtTyEEKMlDz2xkzaZqRg7J42NXTiHTEbH5t++B1ob8LJdv3b6AP7ywhYAjue68cbgKTA9o15QcNq81151fxcp1B+NTGEYMyWP44Fxr2txH6Jrt1D71w/jPBx/+Typu+z5hkZsSZQGnSoQg+acvpu6FX8djwcrxaBVIxwbLPsWKtGMgHcUzK3by5D93kJ3h8pFLJ1JWmNllK4VTxRgg6jNxWAGTRwzC8/ykFvqmG8IYPnr5ZLbvW8aRxhBCxKYIBJTAdGPcVYfImjepjPlTBhONdu/zToWLrJSCvTXNnbzxnnh5O5NHDkrqaCQhISczACSK52BAnfpnIwU/+ctbcduUtU01fOmB5Xzzk2ciTlISG19Tmhfgk1dOJuZto7s8Hs2VguvfV8XXfn50u7OyNIfi/IykZyq7itaGbFfyw389h7e3HyY3K8DIIXkI3b0sb7oTCCgEEPX6pn5QR8M0v/FcYtBoWreuxhl/Xso1oHSHcNSQPWERpSXDaF33MoHysWSOO52maACbTusaVqS9C9eNteb/+LGjNiH3tNc59dWHFcviWXH2brQ2ZDiS/71jAa0hj4ygio15OkUh2x8uksZAVkbn2o/sLDdmCZKkma1CgKcN150/jm/+alV8VNSciWVkBZ1TFjBGCF5dlzihpKaujYinCXYhiRXLunX/M/A8n5GDc/neXYt4fvVuKkpymDt5cLe3t5NNR9PQjNFFMW+4HsjyphtKCXJUiKY3nkc31pIz60K84CBCfu9O8xBK4RSWd4o7hUNi81b7CS1RBzWoioyzq9Ba0BjxsQKt61iR9i48bXhu1e6EmK8Nb249zGlVJf2quLM/0JHpynKEHZT+DowxFOYGmThyEOt3HAFitVc3XzwRRfI6ex1H8dKafeypbuKbt89n0846SgdlkZ3hIHvg7xptKCvK5sDho/McHSUJOKrXh4gbX1OQ5fCBc8fGLThS/RY0kK9f2SrMgQf/Hb851jHf9MYLDP7Q11C5w3u1oUVIh7zZF9G6/hW8xhoAghXjcQePJhTpX+vj+7q3v5b9DivS3oUSgvLibF7fXJMQH1KUnXKt9RbLCfE1//rBWeypjhW0Tx1djCu7P7XiZNDaMHxILg8+tZ6X1+5j+JA86ppCvG/ucIaWnPqsRVfCndfN4CsPLCcc9ZECPrp4EgrTJ7lmrQ3hNDPzTSWkkvjEHoQdKZBdaALpCkpJIge3xwVaDEPDK38k96I7aKN3s2nNfiZlN34Dv+kwwglAZj7NA2ArUCnZ5x3e6YYVae/C933ef/YYVq47SG1DCIAZ40ooL85Gp1iticVyIowx4PkMK85iRGk2nqeT7g7h+5oRg/OYM6GMVRsOsWVPPcMH53L+nGHvaQh8Mniepqwggx99/hzqGkPk5wRRAlurmYYIJVm27hAPPrmOiKcZO7SAL3x4DsIkw1PPIOQxhNixYr2A72sa/QAiswIwmCiki0BzHBkzRvf0SQuuTMfH1a1EDu0mu3QYUZlFm9c3n326YUXauzAm5uJy312LOHSklYyAIjvD7fWtlJ5EOTErBsGpDf22pCdaJyc7cVx8n0+8fwof9Sfj+ZrMgMIR4DsSKUSsHuoUDqej5nBQtosZoMXv/YGwp3ngL0drf7fsqeeRv2/i+vPHYXr4GuX7Brd0BE5BGV79oVhQSAoWXEebcegrgZRuFii5rkf00BZCO94gc/QsVMlImqMnlhFBx+DveJXqp38SjxVdeBvBUWe0z9S0nAgr0o6B72tKBmXjR6LtRqepX2tyPKTr8Pg/t/PC6j0U5WfysSundN2R32LpAh3mwC4xrz8BbD/YxFPLdlJSkMGVi8b0iLFtmt3fLO9ASsG+g82d4ht21uH5Jindxy1+gMEf+jqtW1fhN9eRM2kBYZlzUtYtllg2rPGV39P8eqwztem1Z8g77TIyZl9JyDv+igVFhP3P/yohduSFhygfPYswwaQec3+gnzjnJYd0vwk4ruK5Vbv504tbqWsKs3VvPV/80Sv43RoqZbF0HddVbN7bwFd+uoJX1x3kqVd28pnvL0Wnop+YpdfQ2jCsLKfTlIdpY4txkzRVxfcNDREXRi/Amb6YJvII9xfz2F7AFVGa33ghIdb42tMERPTEbzQGEwklhiIhMDZRcDLYM7QfE/E0S1/flxCLepo9hxpjNgwWSw8ilERLgeMcrTWJ+oY/v5Q4dL6xJcLOA/YcHOg4UvDZG2aRm+UiBMweX8r7zx6Dn+RyjGjUJxLx0v4hvNc51ud1Ep+hh0PGiKkJsYzhU/DsRt5JYT+lfoySgoriHHYfbEqIF3djZJLFcjyUkuyvaeZnj7/NwdpWFs6o4Pw5w9BRDyEgM9j5MpOZYS89Ax3ja6aMLOR7dy8CRMyM2NbLpixRXHKmLKL5zRfjsdxZFxB5j1mcbb5L8WWfpmHFXwjvXkdw2CTy515B4wDoZu0J7JWyHyOM4eZLJ7Jh1xHqm2JDpS86Y0TMVNTWpFl6CF8I/vX+pTS2xKYb/PaZjUSjmkvOGA5Gc9NFE3lr68t47efc6Ip8SguzbLe0Bd/TCcUXp3LLVo7EMzG5J4VBW8HXo7R5iryFHyRz9ExC218nY+xsnMFjaY6ceEPOGEND2CV42jVkzb4cXwZpiIAVaCeHFWn9GK0NGUry3TsX0tgSISvDwZXCCjRLjyEE1DaE4gKtgxfX7OF9c4chtaEw2+H//u1s1mysprggk9EV+Qit7QyNfoKUAilF33aNK8nSNw7w8JJNRD2f808bznXnjUNHrYddT9IUcXCGTCNYOQPP110y3w1HAYLJc9Lup1iR1s/p6KDLC6pYAaftZLL0IMZATlbn7Y6Sgkw6Ss60b3CAMycPRmszIEcS9TeEiIkzLST7a1upqWtl4qgiXGG6PAe1O3/bcRSGo/54R5oj/PyJdfHXPL18J2Mq85ljp8T0OJ6n7Wfai1iRZrFYTomAI3nf3GEsWRkbpxYMKG5dPLnT+KlUmImqlMQkydV+wKAkjW1RXEfxkz+/zhtbYtNZHCX5n0+dSXFuMGmu8kpJQr7hD89voS3ss3jhKApzAryxtabTa1euP8SsqtKkHIfF0ltYkWaxWE4NX/PhSyZx+YLRHGkIUVmag+Tk3ch7A6UkHvD2zjrycgJUluSAr20DTRcRSvLQMxt5dd1B/u2mOXGBBuD5ml8+uZ7PXD8jaX8/Ctx130u0tY/iemnNHu67axFTRhd3eu3kUUVIgd1Wt6Q1VqRZLJZTJi87QKQtTE5JFtr3U+rGKKWgJeLzme8vJRSJZfPGDi3gix+eA7Z5oUu0RTUvvraXwtwgbaHO9V5NrRGMISlOjK6rePmtA3GBBqAN/Pmlbdxy2SQuOXMkTy/bgTYwo6qEhdMr8FK4Jk1KQUD6CDRRAnYL0XJMrEizWCw9gjEpOuZGCn777Ka4QIPYCKL9h1uoGJRptz5PEiGguTXWIFLXFCY/J0BBTpD65nD8NZecORJXiqQ4aRgDwcBx7Fy05uqzRvP+s0ajDSgBJoUFuOtARrSOhpcexW9rIm/OJQRKxtDq2VuyJRF7Rlgsln6NNtDQEu4Ub2gJU1mUhbUCODmMiXks5mUHaGyJ8Isn1nHPv5zGM8t3UVPXyvvmDmfSyEF4SRJHnuczc1wJRfkZ1DbEHOwzAoorFo7Ga58HK4AOK+VUXtUsEWLfg5/HRGPnZWjnW5Reew9OcZXNqFkSsCLN0mt0dITZWXkpipKxjrn2TITQul+4sjtCcNn8Uby9rTYeyww6jB82CN9P3WxLKqKM4Vu3z+fBpzZwsLaFLbvq+PDF4/GiGleJpDeHSGP4308vYM2mGkIRj7mTB+NA0jtKe5rQrnVxgdZB0+qnyL1wFB7qOO+yDESsSLP0DkrSFtXsP9jE8CF5OALr15ZCCEfx22c38vzqPRgDsyeUcfvV0zApXNNzsniez7ih+Xzx5jk8+c8dFOQEuf59VUhMStXO9QaOI9EIlOhet63vazKU4GOLJ+EbQ0AKvPYasWgvfJgdzShzqkoQ7f8P6biGMju/U0xl52OEndRoScSKNEvSEUry/Gt7+c0zGwGQAr5w82mMq8hL+pw+y3ujlGT7wUaeW7UnHlu94RAr1x9k3sSylLDOOFWMpxlfmc/Ya6cjpACt4x5bAwHHkUQRtHqa7fvqqK5rY9H0ipipcBdr8mKvN0jA66N6vmRtqfYWTslwAmUjiRzaAYAIZpF/5jU0eZLU3qi19DZWpFmSjg/8bsmm+M/awI/+9Cbf/vT8pHSBWbqGUpINO450ir+9rZZ5E8v64IiSQ0etjxk42gwAqSTVjWHu+91a9h9uZsa4Uq6/oIpv//Y1PvfBWaDTW/CkIy1egOJrvohfuxe/rZmMynG06AyMZwWaJREr0ixJx/cN/rueuOubwwhhJVoq4Hk+s8aX8ejzWxLiZ0wenJrdmpYuoYXgyw8sp7XdMmPNpmoCrmTGuFLaQh6Zjv0e9jZaG5oiLjJ/FKJA0BDR2Aya5VjYDXBL0nGVYPjg3ITY/GnlCCsAUgKtDaUFGdx8yQQygw4BR3LFotFMHDnIdpr1A1raonGB1sEbWw4zujIfpdLjFuA4EiMlUkmk7D+iUmuTUqbPltTDZtIsSUcaw5dvmcvvlmxmy546Zk8o47L5ozBe+hel9xeMrzl7RgULp1diMCgh0P2gFu1EOI6MF7s7kn5bH5md6aKkSMhmjxiSR9TTBBwBKd4ZKV3F82v28dKavZQX5/DhSyaQoaQVN/0MKQUZMoIjDb4WhEzyxoulE1ak9QBSCmuIeQK0Nkhh+NAF4/C0wZUSvx90DfY3OkSKoP+P0pFKcKAuxAN/eYsjjSHOnTOMS88c0S+FqTCGT18znf/70xtEPE1RfgafvGoq+dkB/KiX0ptsjqN4avkuHnluMwA7DzSyfkct371rYR8fmaUnUUqQTQu1T/w/QnvWExwymqLL7qBVFQx4yyYr0k4BoSS+gb01LZQVZeG2d41ZOmNMrMNOAr4tVO43xMoK02/7yUdwz4+X4bU/qf/xhS1kZzicO6sSr58JNeNrpo8p4kefP5eI55PhKhwJ0UjnByUhBEoJfD81PPIi2vDC6j0JsfrmMPVNYQqznJQ4RsupkyHCHP7zdwgf2AZA+MA2qh/9L0pvuJcmAn18dH2LFWndRDmSTXsa+OZDq+hIon3syimcMbFsQLX2WwYuwpE0hzyaW6LIgINKky0opQSb9zfGBVoHL7+xn4XTy9NQcr432tcIINg+Lil6rBcpSUNrlK176qkaXkh2hgO9vJ4xkSjRxDKAxkBhXgY19W0Jr8vKcG1TSz9CCR0XaB149YcQOgpWpFm6g2fgh396g3fucv7yiXXMnTi47w7KYuktlOSnf13HsrcOAJCb5fLtTy8gQ6X+1r/WhtLCzE7xypIc1AAtXZBKsmT1Hh5+9qhVzm1XTObMyYN7rVZPKkHYh8f+vpmGlgiLF46iojib266YzBf+7xWi7cdx7pyhaVFLZzl5jJE4+SV4DTXxmMzIAeX0/9qL98CKtG4jaGyJJEQinsbT2n6oln6NEIK65khcoAE0tUb59dMbufXyiZDiIscYyM10ed/c4SxZuQuAQXkZfOii8ZgBeuP3ETz6XKIFy6+f3sjcSUN6LbOoheTu770Y70Rd8fYBvvGJeQwtzubHnz+HnQcaKSnMIqcPMnyW5NJGkOLFd1P96DfQoRZEIIPixXfRpgd2Fg2sSOs2AsOsqlJWb6yOx0aW5+FI+4Rn6d9ISXzA9Ts5dKQVX5v02C70NR84byxXnzOGtrBHbmYAhR6wRcrGmE7bv+Fj1KwlC8eRrN12uJNVyJ//sY3b3z8F4WtGD87FGGPHyfVDPM8gsssZcst9GC+EcIKETICol5yriRAQcAUCiHikdPbcirRuIrThU9dM4w/Pb+H1zTWMG17IjReOR5qBNw/QMrDwfcOoinyCriL8jiL78+YMxZUSL10aQ/xY1js3oMD3SZOjTgpSwPRxJby++eh207yp5UhMr3R/GgPZGW6neHaGQ4fndSrfSC2nTtSHqB8AAhy7aLJncBRkiVYalz+Jbmsk77RL8TJLkvcHTxFh0rj6sra2OWlf3JKSXGpqmk74GiFAKkXU1zhKYHxji1mTzMmsiyX5SCWpb43y88fXUdcU4oLTh7NgWnm/tLBIV7ryXRFCIBzFsyt28db2w8ysKuWcWUMxntdrHZTCUXzpgeXsrW4GIBhQ3HfnQrJc2a8Emr2G9Q6BQCwHFY0mnsP5gTD7f3o3OtzaHhEMvukbZA2tSuq6SCkoKsrp8vusSDsO/fmL5DgSbWLbVl40vfJ+/Xld0g2lJD4x15niwkyOHGnp60OyvIPufFccV+H5BkfS69MmpBQYKdm0u47Glggzx5fiYND9bAvaXsOSi6MgW4ZofvNFjBclZ/q5tJFF1Bc4jkTtXsXhJ+9PeE/WuNMoXXwntQ3JS+F1V6TZ7c4BhnQVK9dXs2LdASaOLOLc2UMxnm8zgJYu02G3ISFtxgslA6UEPoJQVBNwJEqQtnVTHR5xfTF8QWsD2mfisAKEEESjvi0dsXSZbBlm/88/iw7FHhobVz1J+Ue/gydyMQZEINjpPcLNgBSdJW1F2gBCOpJHn9/C35btBOC1jdWs3VTNZ66fYZsdLJZuIAT4SL70wHL21cS26c6fO4zrzxsHvkaImGu+7+t+tWWXTOy82GMTdAUBQoAgQoBwEuu20hXXVbRsXB4XaADGi9C46imCZ9xAOKLJLh+HU1CGV38IAOEEyD/zKqQbBCLH+c19hxVpAwhtBEtW7k6Ivb29Fl+D6qNjSiWEEChHxuoXjB18bHlvpJI88sKWuEAD+PvK3Vx0+ggG5QQI+YaV6w5SUZJDZUkO+L51ybd0mWzXI7xhKQeX/QmMIX/eVWRPXERL1N7CT55YpqzFD1L2oa8T3vUmflszWeNOo81kktHHR3c87AoPIAyGYEDhtR0VH1LEatMGdGsbse26Nk/zx2c20tzmceWi0ZQWZKTttpWld/B1bJ7ku2loCdMSivKVB5bHbeNmjS/l9qungTfAv2yWLqGUwNTto+6Fh+Kxuhd/TdngUaiC0fZh8h1Eoz7540+n4Z+PxhsDhHLJm3MJTe1b+b5vaPRdnKFzEELQmOLNTgO3kGQAoFSsULIDR8BNF01IeM1F80bak4BYx/dd973Ec6v2sOLtA3z+h/+kpiGE40pwFG2+wSiFGMC1V5bOuEpw5tTyhJgUUFmayy+fXJ/g6/vaxmpaw73nPdaTBAJOvFvO0rs4jqJ147JO8daNyxKu75YYLTqT8o9+l/z515B3+hWU3/Y9QjKnUwbb8zTRFBdoYDNp/RIhBCjJruomauramDq2BFeA72nmTChl/GcW8eaWw4wdVkhZYSZmgD/ZO45i5cZqQpHEz+HPL23jxovG87kfvExryMN1JJ+5YSYThub3u44zS/eIRn3OnDqE2oYQz67cRV52gFsXT0YCLW2di4YiUU2Wo9Jmy1MqgWcEf1u5C60N584ehiux84l7Ed/XBCvG07Tm2YR4sHL8gDVfPhGeb2jwMwhMX4wQ0BTpPRuZZGBFWn9ESb71m9Vs2FkHgKMk3/70fAZlB/B9TV7Q4azp5bFi5gEu0GKY2DDpd5GT6fKPNfviLuhRT/ODR17nh587mwG/P2yJo6M+i+eP5JIzR4ABVwJCcNn8kfzs8XXx15UNyqIgJ5BWD0Uegk9/5x+0tWcA//zSNu7/7Fm4grS+8aUTnqfJGj6FzNEzadu2BoDMUdMJDp9GYyR9zqXeJtKLEzOSiRVp/QwhBLWNobhAA/B8zYNPbeCua6cBsREw6ZDm7S08TzNhxCCGFGdz4HCsKygz6HDVOWP5t/tfTnhtW9gj4vkEUrNbe0AhpQAh8A0EFET70PPP9/z4OKyO5sT508opyM3gxdf2UFmaw+ULRiONSRt5Hwgonnl1T1ygAYQjPs+s2MVVC0cRTtOt23SkKeqQf8EnGGRi2VlfuDTZpoEBgV3lfoYQdJp/B7GtF23SZK5iHyCN5r8+MY+Nu+poaY0yo6oEJQVDy3JZt702/rrSwkwCjrQDnvsYqQStEc2vn9nIkYYQF54xnOljS1IqS6WjPtNGDWLSiEKUEHheuo2eEuhjpMusp2LvYwy0eC7QeXSWpX9jqw77GVobKktzyMsOJMQvWzASV6afRIv5TMlY1iSJ+L7BRH0mDSvgtPGlCF+Dr7n7+hnMmlCK60jGjyjkq7eejuqVaYbJwXEUKIlyZKx2MU3RQvLZH7zM8rcOsGl3Hd9/5HXWbq7BdVPrkhaN+hhf46WQeDxZIhGPs2cNJTN49Fk+6CouOn3EKW0lSRmrmcVRGClt8bvFcgJsJq0foozhO3cs5I8vbqG6rpWLTh/B2Mr8tDOJFErSGvFZt6k63ct9AAAgAElEQVSaURX5FOUl38nmnZ+R1rHxOJ96/1QMAmEMSpi0LdYVjmLdrjqeXrGTkvxMrj1vHBlKpl0Lv1KCrfsbErbhAJ5evpNpY4pstrgHcQX84DNnseTVXfjacMHc4QQU6G5qTikFvhDc/+gbvL6lhsrSHD5z/UwG5QQGbDOClALXVRhjiNgaM8u7sCKtH+L7GkfADeeNRRtQIv1cvB1HsmZrLd/7/dp47NL5I/nQhRNO8K6eJ+YSf3SbOF0voY4jWbutlvt+tyYeW7nuID/47Fl9d1DdRGvIz+k82qUwL4gUApPGmc5UQ7dfS66YPxKIZde6K9AAtBD835/e5PUtNQDsrW7myw8s5wefOasHjjb9yHB83HA9zaufR+UVkz9xPs1+Rto9OFmSh80z91OMiVluxLZa0u8LHzWCXzyxLiH2t1d2dMqepAId2zdRRMp6qUW14cl/bk+INbdF2XWgMelbyT2NMYaivAymjS2JxzICipsumoiw9VI9jjEQDnuEwz1gZSAEb7QLtA6a26KE+kknXldQSqIa97P/55+jcfXfqHvhIQ7++h6yVbivD82SQthMmiUlOVYDhDbga51STxZCgC8kX//lSnbsb0RJwfXvq+KcWZUp1VwghSAvK9ApnpsVSE8rBd/nrmunU9sY4khTiDEVBSjsKK+URxtGDMln6976eMh1JMGAA35y89Suq5CyfXB7CsxRDYgI9f98FN6R+fUaavAO70YWjEmJY7T0Pal0v7NY4kgM5582LCE2blghGSnmei6V5NHnNrFjf2w0kK8Nv3lmI20Rn1Sqy5cYbrpkQqwztZ2JIwdRlJ+Rlt16xoDxfYpyAlRV5IPvW4GWBigBd35gOoPa60uDruLO62agSN7aSSmQrsOKDdX8ZslmDjWEUzLbfZQUunCcBFIKcpwoebKFPKeNLGfgZUWTSWrd8SwpgXIkXvt9WwDSmF5/qtOe5rrzxjG0LJeV6w5SNayAi+aNID8nSE1bpFeP5UREfcPmPfWd4vtqmqmqyEuZJgPfN+Rnuvzf589h3fYjFOdnUF6cnVLZvu5gTPo2cgxEOsy0//fTCwhHfQKuQmGS2jSgheCbD74a/54+vXwnd143ndnjSvrULzJiAhTMv5aDO9+mI5vm5JfiFA9FR9LnnM51ItQ89i3C+7cAkD1xHvlnf4SmqLUL6QmsSLMkIJXgYF2I7zz8GtV1bVQNK+RzH5oVGwXT20It6jF/ymDOmFQW85lKQQPegJLMGl8az6RBbAt0xJDUEWgdaD+2VTxj9CC0NnbahKVP6Mh4BiXg+93KoUlH4RsDCCQGcwKR1xbxOz1I/f7vm5k6urhPc1a+r/Hyyin/6HdofuMFVH4J2ePPoNkPQhIziz2J60pa1i2NCzSAlvXLyJl6HqpwjM1u9wBWpFkS0ELynz9fEa8H27S7jv/3h9e589rp0Addcx3CLFUT6J7nc+mZo6g+0sY/39xPXnaAj185BUcKOAmRJoTAcSRa9149VUcjiVIxjyrP0/ZiakkbhFL8bflO/vzSNnxtOHtmJTdeNAEdPfZV4lhCLFVKEcKeIqKKCJz+AbQ2NER80kWgASg0Lfs3d4qHD2xFFo1NdpnhgMCKNEsCobDXqWD/7W21qXNVS0GM5/GRSyZw86UTwRhU+zD790IoSXPIY/Ub+xlRnseIwXng+71SyC8cxbYDjby2sZqZVSWMKs9PKbd+i+VYSCk4UNfKo88fzdw8v3oPk0YVMafq2NuXGQFF1bBCNu0+OirvA+dVEVCCPpwkFscYk9QRW0rFzMA979SvLUpJMkUIaTyMVERlJtkTzqR108qE12WOnklLGroKpCJWpFkSCAYcgq4i/I6L3ZihBXaa8gkwhoTarpOROo4rWb+rgW8+tCoemzOhjE+8f0rS68SkkvzpH1t54p87AHjqlR1cMm8kV589+oTbRhZLX+M4spOFB8BrG6uZXVVyjHfEamq/8OHZvLaxhu3761k0o5KS/Ix+P79YCMhxo3g1u4jW7CFnzEyiKoeQr7r1+6QUZJtGqv/wTaKH9yKz8ii5/E7coRMpmH81Da8+hXSDFMy/BpWdB6lTOpzWpHKLi6UPkEbzrx+aRXZGTL8PLsrirutmpPUopFQk6sOvnlqfEFu14RDRXqhj84G/LduZEHtmxc6U2mRxXYVSNntrScTzNFNGF3eKzxhXctz6Mq0NOupz2vgSbjhvHKV5wQHxMJLtRKn72w+pfuTr1L3wK/Y/cBfi8NZuj+HKkBFqn/oh0cN7AdCtjVT/6VsI46OjEcre/1mKL/4YoV1vceTvvyDD6d8iuLewmTRLAkYbxpTn8YPPnoXnGxwlcLAddMkgfIwnec/XuEkXJ51/f6qsrlCSiG949e2DDCnOZlhZbq9tAVtSH60N5cXZXLFoNE+8vB1tDAumlTN7QhnR49SkddDfM2fvRnoh2ra//o6Ioe7F31B0zX/g0Xlix3vhCENo35aEmImGMZE2Glc+TuPKx+NxoVwKz/Voo7M3o6VrWJGWbJREG9DG4EiJNDrlTQq1rxGAC+CbtB2FlCoIIRBK4PmGgJJ4no+r4PIFo3jwHdm04YNzyQyo5G93Ynjf3GE8vXxXPHb+nKFI+lasOY5kb20r//GT5fHvyLQxxdz1gRlg6+Us7RjPZ/GCkVw2fxRgYuetl6qtRb2PUpIcFUK3tHT6NxMJdbu82DOCjMoqQruPToIRgQxEIANk4kBXt6j8ZPqmLCeBFWlJRDiK3z67kedW7QFg4ohB/NuNs0HbC8pAQSlBFMFvn97I1r0NzBpfwhULx+B7HmfNqGBwcRb/eG0foyryOP+0YQhfJ33b0fiaa88dx7SxpazecIhZ40uZMLywzy05ohoefnYTZ8+qJC87wNpNNbyx9TDNbVGyXVuZ0R9QjiSqDUoIxCn4LxpPx/PBVgskkq3CHPjVv1Ny8cdxB5UTPbI//m95p11KRGTQnU8tpAMUXfIpah77FpFDO1E5BRRffhdRXAadfwtHlvwMjEYGsyi65FOEyCCdOlVTFWHS0W68ndra5qRlpUpKcqmpaer2+6UU7DvSxj0/XpYQv+niCZw/q3LApd57ilNdl15HSb76s5XsPnT0mOdPK+eWSydifI3jSAwCIQxeL7eaOY5EKRnzazrFTqyeWBfhSBpaoix5dTdHGtqYP72C+sYw40cUUpTt2i3PLpJK3xUhAEfx55e2sWr9IUaV53PzJRMJSAac/Usy10UpiXvoLWoe+zZO4WBKF99Jy4ZlROsOkjP5LNSQKpqj3c/NKCXIFBEkHgZJiAyiniHD8QkKDx1uQWTk0OYHSLdbXLK/L1IKiopyuvw+m0lLEkpJthzDiX7jrjrOmVnZB0dk6QuivkkQaJlBh7zsAL6JiSTfNxjTNzcpzzt1cdajCMHXfr6SI40hAFa8fZBPXzONskFZREPRPj44y6kglOSXT67npbX7ADhwuIXt+xr4xsfP6OMj64e0X0+8uoMc+M1XyBp3GlljZiMqJ9McOrUnHd83NOPSXgxDR0Yu5ClCKJBB29XZw9g9hCTheZoZx2gJnzdlCLZpbeDgKIHTvuB52QH+87Yz8LXhyw8s58GnN6KlQEp7Qkgp2FfdHBdoHTyzYpfNOvcDNIJ/vrE/IXagtoVwKj0k9AN8XxOoqELlFABgvAgtG5bhlg4nbJ9z0hIr0pKEMYa8TJfbr5lGXnaAoKu4YtFopo8ptjedAYQEPnjhBACuPGsMf3h+M8+u2MX+wy3847W93PuLV9HWKBhjYh597ybjGDFL+mGMobggMyEmpSDgdM+zy3J8WvwgQ27+HwoWfoDcWRdSfst38DJLbYd+mmKvgEnE+Jo5VaUxDx8hUBj8Hi7OFkLgurFts4FW25EOGF+zaHo5p08ejBSCh/6W6I2280AjnjYD/otojKEoP4MxlQVs3RsrE1BScNPF41GcnEGwJXVxBNx+zTT+82cr8NrFwg3vq4rN3ezjY+sLMlyDYyJoJGET7NFrt+8bGvwggamX4ghojvgYK9DSloF+b0g6vufHu5B6/EYjJY2hKKvWxgpxR5b33lghSxfwNUEBKEF+TpD6pnD8n1xHoqTEDrkDqTX33DyHrXvrqa5rY/aEMgJS2IePfoDvaSqLs/nJv5/HvppmSgszCThyQJjKvhuvpYHQyj/SumEZTkEpRRfcRihY3OOF9pGIdRHoD1iRlqY4juKNHUf4zm9fi8dOm1jGx69M/lghS/dQAj551VS++atVdDQl33zJxAGbTXg3WhvQPuMq8hk/tIBo1MekuKeg5eQx7f6Lw4qzYms9AK9TQcdQv/wvNK3+GwB+Sz0HfvMlym/7PlG/Z41fZXu9a0o1B1m6jBVpaUpUG379rq2zV9cf4qOLJ9tFTVF8TzO2Ip8HvhDLJgwuyiagxIDMJpwI39c2sdiPSXUz71NBKYkQHFcYuSZC3YZEWyYTacNvPIzILO+RXRAhIMeJ4tfvx2s4TN6wiYTIIOLZ2td0xN7P0xUBkWP4avna4Njv4knjOJJo+4XREaLHawbfjfE1Ehheko3WxtaKWCy9jJQCLQQGARjcE4iqrvxOIyVb9jXQ1Bph6phiHDp7wGkhcQsH4zceToir7HxMD116sp0oR576AaGdb7X/cochN34DP3OILR1IQ6xIS1McAYsXjuJXf9sQj42uyCfoKFvfdLIoyapNh/n1MxuIeporFo7mvDlDMb3gvN+fswkDBaUknok5RQmBnXGbBggh0FJy3+/W8ta2w5QUZHLnB2ZQOSgLrbsvYIySfPmBFexp90TMCCjuu3sRGVLwTr/4sAlQfOGt7H/oHnRbMwB5Z1yJJ7o+S/NYCAG0NRwVaAC+R90LD5F/6V20xv3NLOmCFWlpiu9pzppZSXlJDi+t3cuYygLOnlXZK2OF+gNSCupaItz/h6MDiH/77EaGDc5lwtB8W8dhOSFKSVoiPt98aDW7DzUxpDibz984m8Is12YrUhkp+Nlf3+atbbFMVk19G/f+fCU/+vw53Z5gpJRky96GuEADCEV8Hn1uMzdfNCEhO+/7BrdoCENu+S66tQEZzMYTAVq9nrkVCyHQ4dZOcR1qRvSRabbl1LA+ab2AlAKUxBMCoxRS9czHbjyfCUPz+fjiyZw/qxIT9W2G5iRxHMmr6w91ii9du49uTyC2DBh8iAs0iDnof/2XK61VSIqjDby5NXGrMRz1aWzpvk2+ENDc2tkptqk1yrGmLgqpaIwEaHZKaPSzekygQSxD7xQORmXnJ8RzZ11ERGYe512WVMZm0pKMEKCl5L9/tYote+pxlOTGi8azcFp5jxSMJzvjo5SMdwil8ZjXTvi+YWxlQad41fBCrESzvBfakDDuC+BwfYiob+yGUgojBIypLOD1LTXxmJKC3Cy3292mnqeZMqaYzKBDW/io7cWVi0b3ybWkxQ8y+Kb/pmH5Y3j1h8idfh5OxSSae3k2sKVnsJm0JCOV5JHnNsfneHq+5pdPrieU4l8YIUA4ih2Hmlny2l4awx70UAYwFfB9zcjyPM6YMiQeGz+skAXTy+1ECMt7IgQMKc5OiBXkBuMjwCypiTSGT1w1lfL2tcsIKO76wIxTvhEqDN+9ayHnzB7KnAllfP3j8ygvyuqTrW/fNzTpLDLP/BB5F9+JXzHzlIaqW/oWYdI4PVJb25y07b2Sklxqapre+4XvgZGSe3/5KjsPNCbE77n5NMZV5KZuobGS/OzxdSx760A89JnrZzJ9zCC8PhSYPbUuELvRGinxTWybwFUCaYzdMu4GPbku6YBSgrpWj3t/sZLahhAFuUG+8OE5lOUH0SnynR5oa3KyKCXxAM83OEqiMOgeEFNCCKQjMQaEOf4EGLsuqUmy10VKQVFRTpffZ+V1knGkYPq4kgSRJgQMH5LCAo1Y5v+dAg3goafXM+lT8/vNdqAxgK9RgALwzYBuuggEHISIOZWn76Nb7+D7hsIsl2/fPp+ob3CUaL/Z2w+uJ3BchedrlBRoX/fo+ei3m+q6sR967DtvjMG3WXhLD2NFWpLxPZ/FC0dxsLaFlesOkpsV4LYrp+BK0WWPLNW+3dgbKXT/GNmkcMRegPoDSsl224jYDVBI8IzgyeU7iXiaC+YOtya7J0HH9zB2sx/YAr+7CCFACowQoA1KgJGC5esPsXTtPoYPzuWqs8e225vYT/hkEAICjkRgiPjW7ifdsSKtN/B8PrZ4MrcunkJ3zBOVEmgRM0qMRH3GjxiEOkE6vTsIFdv2i3g+Ga4iUwlGV+azbW9D/DWXLxiNI4W1YUtjhJLsPtzCX5duJy87wLXnjiXDUdzx7RdpDcWKnp98eTs/+OxZBCU2o2ZJGjFTWcmP/vwmazfVMLI8j3+7cRbPr9jD7/++CYB122tZs6ma//r4mX18tOmBowRZopWmV5/Eb2kgd84l+NmlhDzV14dm6SZWpPUCHdtqHduEXR17q6Xki/+3jAO1LQDkZQf47p0LY0+dPTFGREn++I9tPPXKDgAGF2Xx9Y/N40v/chrPrdrD1j0NLJxRwcThhTad38O4rorN7TSmVzp1d9e08KUHlsdjy986wHfvXEjoHVnSooJM3txWy/zJgwmFOlsLWN4bx1FEDQhiM1uTPckiHTFC8MM/vsFrm6oB2LKnnl0Hm3hmxc6E1x2sbaU17JFlR6m8J9kqzP6f/2vcKLdl/T8Z/KGvoXJH2ExkmtJ/2vX6KY4jeWPL4bhAA2hsifDkKztwnFN/OhICGtuicYEGsYvi7/6+GaENF8weyieumMTk4QVoe6PpMaQUCNfhuTX7+Mlf17FhTwOiB9bzRGgBf1m6LSHWFvZYt7OW0RX5OErwmetnctNFE6g+0sLOQ80IZZ/Au4pQkuXrD3H3917ik99+gaeW70r62qYqUgqEo2j1DC1RjXBUzDeSmEhbs7k64fXNrVFyszoPGg+49lb1XiglCe3dGBdoHTQs/zMBYR+20hWbSUtxhBDUN4c7xesaQ/TETpSUkgOHGzvFdx1oxPONdalOEkZK/uvBV+PWLK+8uZ+bLp7AeTMr8ZIkhiUc8wZYmJMBwBWLxrBpd11csP/xha1cc85YLjljeI90vw0EpBTUNof50WNvxmOPPr+ZkRV5TBpWMOAmWRgl+eavVrNpdx0AI8vz+PItc0H7GGMYWpqb4Df34urd3Lp4Ml/96XI6SqkWzazAkQJsU8Z7It2MY8SCGGFFbrpiVy7FiUZ95k0ZgvMuj7LLF4zqkRun72tGVxTEn247mDd1CK5jT49kEY7quEDr4C8vbSOaxCIwow3XnjeOjMDRrM6wwbmMqsjj8zfN5qyZlTyzfGfiMS3dZl30u4DjSFYdY5LFK2/sH3CTLBxH8frmmrhAA9ixv5Hlbx3EdRWugLuun0FOZsz+11GSc+cMZ1hpNj/6/Lnc9YEZfPvTC/jwxRO6bTQ7kPB9jVs2EqfwqPcjyiF//rVEfHstT1dsJi0NcCV8966F/P7vmwhHfK4+ZyyDcoM9lt1wpeGrHz2dn/z5LeqbQpw7ZxjnzBqKF+1q9ZzlZJHHuGYme0tHa0OWK/nhv57NW1tryc0OMKo8D+FrpDZkBh30u0RirMu358VFx3ByXxuUEijoF9k63zdUDS/sFB8/YuBNslBKdPKHBNixv4FF04YQDvsMynb5wWfPoi3skRFwkBi0p3GBmWOK0Dr2c18heqjut7do8QOUffBrhHe9hd/aQNa4uYTItNYwaYwVaWmA8Q15QcVtl08CQJieteHQvmFEaTZfu/V0EOAIgW8FWlJxpGDupMGsXHcwHrvxwgm4EpJZ+qfbG1hmji3CmFhBe8flW2JYOKOCl9bsi7/+7FlDkZge2VrvQEpBWBvu/cWr7DnURHaGw50fmMHY8nyMTm+h5vuaEYPzWDC9gpdfj32Ok0cVMX9qBdFufKccRyKkwGiStg2eLKJRn0UzKvnr0u0J8XNnD43/v8TEg0+mEuD7CedZX24NCyWJ+Ibm1iiFucEe76ZPFr5vaPRdnKGzEULQmEKNXlIKgtJDGg9PBgnbMrmTwk4cOA7WFTo16S/rIgSgFDv2N7J1Xz2nTRxMfpbbp95kHaPAXttUw9pN1cyeUMb0scXok7jQd2VdhJJ879HXeWPL0UHXjpI88IVzk6tQe5N2SxtjDI4UCG26PPtWOIr1O46wasMhZlaVMnVM0UmtRQep8F0RSrJ+Vx2/W7IJXxuuO3cc08YUpbQHn1CSP720jSf/GavNzM1y+Z9PzSfLlT1yv0mFdeltlBJkmybqnn+QaO0+sqrOIGf2xTSGUydPZCcOWCyWOMYAns/oIbmMq8wjGtV9fuMyBkzU57SqEuZUlSAgKXNMtYHNuxPr8Txf09wWJae/dPG1T7KI/XfXM5HCkTz6/GaeXr4LgH+s2ctZsyr58IXj+/w86QrG10wZWUjVR0+PufxLkfIZwbaojgs0gKbWKD97/G0+ffU0eNdKOq4i2i7cXJH6/299RbYMc/BXX8JvjtUnNix/DB1pI+P0awlFB1ohQNfoJ1dEiyU98X1NJOJ3OcuSTKJRHy/qJ23QvBQwadSghFjQVfECcgtoI1iycndCbOmavWk51cCLaqTWCK1TXsQIIahrCnWKHzjc2qm5VCjJyg2H+OwPXubu7y3lhbV7B6zVynthwi1xgdZBy/qXcUykj44ofbAizWKx9CrCGD5+5VSqhsUK7Atzg9zzkdOQKSRUUwHx7m7QAdYd2hcYYxhSlJ3QAQ2wYHo5gXd0wEspONwY5od/fJP6pjCNLREefGoDOw40xsf3WY4iA52tQZy8YsyAa6fpOna703LKJKT8ZezJ2WI5HlobHAmfv3EW2sS0hyPAH2AeYidCYbh84Sgee3FrPHbR6SOQvHvDzdLTSGP470/O54G/vEV1XSuLZlRw8byRCd3ujqNY8faBTu9dunYfYy+dYEfnvYsILnlzF9O48q8ACCfAoAtuI0wGpGV+uPdIqkh74okn+NGPfkQ0GuXmm2/mgx/8YMK/P/fcc9x///0YY6isrOS///u/yc/PT+YhWXoY4Sj+8fp+HvvHVlwlueGCKqaNKba+RpYTEivANvFUvr2nJaJ9zWVnjmTG2BLWbK5m2pgShg/OxaT4dmF/QPuaQdkun7thJgaDKzt3u2utGTu0oNN7xw0rtCr6GLR5DlmzLiNn2rn4TbU4g8oJmcCAM3fuDknLyx46dIj77ruPhx9+mL/+9a888sgjbN169KmwubmZr371qzzwwAM8/vjjVFVVcf/99yfrcCxJQCnJjgON/OKJddQ3hampb+P7j7xOfUukkzmuxWLpGsbzGVaSzVULRzOyLMcKtF7E92M1dFKbY2Z4PU9TNbyQORPK4rGJIwYxb8qQpNVy9gRSCrKcKHlumCwn2qvX6VbPoYk8QvmjaIwGiXj2HnEyJC2TtmzZMk4//XQKCmJPGxdccAHPPPMMt99+OwDRaJSvfvWrlJXFTvKqqiqeeOKJZB2OJQlIJXlpzd5O8eVvHmDx/JFEItZrzWI5FXxfp4U/14DE8/nE+6dwm56CNgZXiZQW0kpJsk0TtU/+kNDezWRUjqPokk/RonJ79RxLlm1WfyVpIq26upqSkpL4z6Wlpbz55tF5doWFhZx33nkAhEIhHnjgAW688cYu/Y3ueI50hZKS3KT+/nTHGMPYYYW8tHZfQnzssELy8zOT9nftuqQmdl1SD7smqUlfrIvXUs+B3/4P0ZpY13Bo93pq/vQthtzwFVS2LTOC1Py+JE2kHctSoFO3EtDU1MQnP/lJxo8fz5VXXtmlv2HNbPue+VPLeWnN3vgcyplVpYytzE/aZ2fXJTWx65J62DVJTfpqXfJUJC7QOohU78KLhDnSas+TAWdmW1ZWxurVq+M/V1dXU1pamvCa6upqbrnlFk4//XS++MUvJutQLMnE9/nCTXOIeD5CCNz28S4Wi8ViSR2MlMisPHTr0XmqKjsfI6xlSCqTtNWZN28ey5cv58iRI7S1tbFkyRIWLlwY/3ff9/n4xz/ORRddxD333HPMLJsl9dHagO8TEOBiwNdpNZDYYrFYBgIhE6Rk8V0IN+ZZJtwMii+/i5AJ9vGRWU5EUjNpd999NzfddBPRaJSrr76aqVOncuutt3LHHXdw8OBB1q9fj+/7PPvsswBMnjyZb3zjG8k6JIvFcgIcVxLxDEoKhDG2wNdi6UdEPRAFIym/7fuYaAjhZhAyAaK2vyulsQPWj4Ot50hN7LokB+kqnl6+i1fe3E9laS4fuXQiGQr8d8/COQ52XVIPuyapiV2X1GTA1aRZuoeUAimFNfmz9BrKUfzppW08vnQ7AHurm9m06wjfuXMh1mbWYrFY+g5bMZgiCCH4/+zdeXxU1dnA8d85985k3yAhQFjCvu8gyCq4oLK4W9ytSl2qbe2mrfraty61Wq1ttbW2fd1ta5VqqYo7KuICiKDIvhMIWUjIPjP3nvP+MclASBCyzkzmfD+ffmrOTMJJ7tx7n3uW5xG2xe7iKlZvKUZJiTQ14Ix2EFCapavq57srKfdRURUIU4+MSGHbEi0lSkpsjykebhjtzYykRQpL8sCzq/h6xwEAPLbkNzdNIz3RPu4pJ8NoDgFkpidQVumv154Qb4MyI7qxSkjJ3gPV/G3xOsoq/ZxxYi4zxuREdMLWWCIEZpNWDDBDNRFACEHRwZpQgAYQcBRPv7Yehdn1arQtj4TrzhmBxz50OZg/rQ+2+ejFNAe47bHlbN5dyv4DVTz56td8vrEAj8fcNsLJtiDV6yexei+pspxEu2Ur/4WAOI8gwXbxmNHSiGNG0iKAEFBZ3XBqqazKj9LahGlGm3IcRZfUeB675WT2FJSTmZ5AgtdCm3JETWbZEkcDCCQaVHSmpLFtyZdbinGP2Jj13qo9jBmQGaZeGVIKEtxS9j1xG6qmAoBZOnkAACAASURBVIDkMaeRdOKFVDlNv51bliRZVlP22WICRbtJGj6D5N4jqfCb0CBSmCMRAZTS9OqaQkqih/LD1gHNm9oXjxQ4JhWC0caUCo7Z9s5Kqs19ZwK0phJSsnbbAR5/+UsqqgNMHNaV684ZiY7CHAdKabplJjVoz+mSjCUlrjJTnuEQJwOUvPlEKEADqFj9JqkT5gBNL+2UKGvIf+5/cEr3A1C9fQ0Zsy7DO+QU/AFz34kEZtw6Qlha8+D3pnPKhJ6MGpDFrZePZ0S/TmaXp9GuTG605vMrzUN//5zyqgBawydf5fOfD7dh2dE3haSUJis9gUnDu4baOqfFc/6sAShTUSRspHZDAdXh3IpSpGz6nIuuKW/w88pXLsGra5rdR6N1mZG0COG6Co8QXDZ7MEprLIEJ0AwjSliWZPOegw2mNldvKuDME3tH59Ow63LtWSO4/Mwh1Phc0lPisLQ2g6xh5Mg4EodO5eCyf4XahCceT6duVPmb/oAlbW/DtvhEwrnIRgiIszSW9uMKLz5XROWSgdZigrQIorXGrd05FX0TJJHPtiVCStCaQKDjjwbYtkRKieO4ZoSsjSml6Jmd0qB9SG4nPJYMndfRRGvAdYmXgoREG+24JmtemPkCkDp6NihF5boPsFOz6HTqVVS5DYOt4+Ha8SQMGE/15to620KSMesKfCQQjhyJUgpSbB+lH/yDmt1fE99rKOnTFlDuxMXsNcwEaUZMELbFxj0HWbYmj0G9OzF5RDe04xLFBTeOKphzT7J6SxE795UzdXR30pO8Zp1ZG9Ia4j2Sb88dyrNLNhBwFAN6pneY6cEOeJpErTK/TdyYeWSNOg0lJFU6DreZ53aV4yH9tGtJPWE+geI8EnJH4BeJOGF6qEiQfgpffgjfng0AVJTk4xzIJ33ezVQqT1j6FG4mSDM6PNu2eGPFbp57I3jiv786j+Vr9/LDi8ZAB8xBp6Xg10+tZMOuEgAWLd3CTy8dx/A+GTgBE6i1GVcxY1R3po7KwVUKWwqkUsToAIDRhnwB8FFXGL3557TWUBHwIFN6I9NyKQvzEhsLJxSg1anZ/TUWDhCbQVpULpUwjKZwNLz8/pZ6bV9tKybQAQM0gGqfGwrQ6jz/5kb80T+gE/GUqxCui62DO2RjdYrGiC5K6chYAy0kIi6xXpOMSwQRu6FK7P7mRszQaKxGSmxJ0TEz0KlG5qZcZfLtGYYR2Wp0HJ1PuwZCVytBp9MWUqPjvunbOjQz3Wl0eB4huHj2IB5b9GWo7cQR3bAkHbJ+eHKCh9xuqezYVxZqu2DWALyWwMx2GrHE47EQAvxmGLlFpBQIIZq99u14+R2I7zGKnOsfxSnJx+7UDb/24ovhnXQmSDMihpQC25Y4TutOEzmOy8Qh2fS/KZ1P1+UzsHcG/XPSwHXpiJNRQinuvGYiH63dy/a9ZZw8viddOyXGxI5Ww4BgShQHwdI1e3FdzdTR3bEJTkcbx08IQbLtRx3cj1tZSlL3AVSrONryUlLjWtSQiEzvh3I64hW6aUyQZkQGS7K/tIY1WwoZ3jeTbp0S0a24K067iswUL2dN7YPrqqhMiXC8lNKgXE4a1Z2TRuXgum6bPwFHEtuWoRFDjzT5BmORg+AHv10aquDyz7c38fsfnoRtipI3SbLt58Di31Kz62sgmJOt25X34VoZbb7e0qznDDJBmhF20pYs+XQX/3hrU23LRs6e0Y+zp/VBteINVimN3x874+axOMUjpGR3URX/9991VFYHmDu1D1NGdEd34KDcqM/rtXhrVV69EnvVPofXP9nBudP6xOR50RxSClR5YShAA9CBGkrff57kU6+jWpkl7e3B/JWNsHO1YNF79XdfLv5wG642S92NpvErzR2Pf8zWPQfJL67ir6+sY932Yjye6CvNZDRfY6OngYCL6KCbhdqCEOBWlTVodytLEaZ2a7sxQZoREY4sIq+0RnfIFWMG1C5Eti1qFPgUYFktvoHatsWazYUNpkneWbm7wefL6Lj8fpeTxvYgznsoMLctyZlT+sTUSHpLua4mrmvfBikxUsadgV/E7m7L9mamO6OYsCVKC0AjCa67ijRCCDxeK1SKqbH1IBLNzHE9eWfFrlDb5BHdscCEaR2UtmS9hLuDe2dw6+UT0IHm30SVUnTPSm7Q3qNLClIKOkDif+M4eaTm9z88if8u24ajNPOm9iXeFugOmhuxrVQqL92uvI+DH/wDt6KE5LGzsXsMx2e2ibcbE6RFKWFbLFq6hdeW70Brzazxvbj09EGoMO7gsyyJi6CyJoDHYxFnS6r9Li++vQmvbXHm5D54LI064kKpXcVlpw9maJ9OrFq/n1EDs5g4NNusI+qgPB6LT9YX1Eu4u2FnCZ9vLGDCoKxm70JVSpOTmcS4wV1YtaEAgKyMBM6e3hdlPksxRbkar4BvzRoAaAIBZQK0ZnAcqJRpJM68BqldAjKeyja6x8R5wFJ+lPTgc2K7qPrhTJB2DCICdwNZlmR7fjmLl20Ptb29YhejB2Qysm+nsOxmEwJcBLc9tpx9xZWkJ8dxx9UTueWRD3FqL45LPtnJIz8+CdHI+JgKOJwwKIvxg7IQWuOYdBEdlpSCLXtKG7RvzStl4pAuLfvhrst3zxtFtd/B53dJT4nD0rojVv/6RlIKKqr9KCnxSNGhdzMfjdaY6c1WoJSmRklA0hbD0UJAijdA+Yr/UrPtC7w5A0mbfAEVbuwWVT+cWZPWCCGgrMJHlaMpqXLAthrNWB8uliX5YnNhg/ZVGwvC1k9pW/z7g63sK64EYMLQbN74ZEcoQIPgDquP1u476iLuQMDFDbgmZUIHFwi4zBzbo0H79DE9WpzLTWvAdUmwBBmJNjixlX4EQFqSaldz/zMrufWPy3jh3S2I2qSuhhFpEiyHkjf/Rtknr+Av2EnF6rcoXPRrEqUv3F2LCGYkrTGWxYPPf87nGw9Nmdx3wxRkhIyqua5izMAsXn5/a7328YOzw3ZDUkqzK7/80Nda47EaBmO2Ze4UsU4pTXZGAjdeMIoX3t6EEIJvnTKQLmnxrZpsNBLO1XBQCG7703IOlNUA8Ory7dQEHC47bRDaVUhL4gKOq7EtgQ0xF8gakcMWLlWbPqvX5t+3FakdwBueTkWQyBkeihBSCvYUVoQCNIDCkmpe/mAblh0Z2/hdV9ErO4WzpvfFtgRSCmZP7MWwME11AlgCZozNCX396Vf5nDy+Z70dVqlJXiYN72Yy37cSaUm0JQkg0JZERtBo77FoV3HC4CzuvX4K9143mfGDMiNy40tbCZbZaZufXe13QgFanY/W7MVFIC1Jfkk1Nz/8Adfe9w4/+cMySqoCWObhyQgTDciEIzb8WDbIyLjfhpsZSTuClJJ9hZUN2vMKKnAjaH5cOy7nTOvL/Gn9gOAOyXBuGnAcxdgBWVx6+mBeW76D5AQPCHj0xzNZ+vkepBRMHNYVpTW2lCgVOzfktmBZkn0l1dz39EpKK3x0yUjgjqsmkpZgR810sRNQoafEKOlyiwlLooAte8vI7pxIUpwNrRycxnkspIDDL1fZnRJBa1wh+NXTKyir9ANwoKyGXz+9kruvO7HRtaKG0dZ8Op7Op11D4cu/pW4/f8b0i/BpT3g7FiFMkHYEx3EZNTArmG35sKvcyRN6YglBJC1DVa6i7vk3Ei6vynE5bUKP0HojryXwKc2OfWVU1Tg8/8YGhBD8/kcnES8FOlbno1qBi+Depw7dbAtKqrn/2VX84uqJmDGRyGTbkj3F1fzP48tDazXnTevDOdP7tWqgZgm4ePZgnl2yAQgGbTdeMBqPhGpHcbDCX+/9+4or0RrzuTHCwu9o4rsPI+f6R/EX7MTTOQfXTqTKiZ6ZgbZkgrRGeC3B3ddN5v/+s47KmgDzpvZlWG4nnGbukBICLMvCURqPBYEOnGPGCRwKHIVt8eEXe1m2Zu9h79D8d9l2Ljp5gNl51QJ+xw0FaHV27y83d9oIFlDw2L/X1ttMs/jD7Zw1rV+rrjvRrmLWuB7MHNeTotJqsjISkFrjOAqPJclMj6eo9NB0aO+uKWZTQQdn2xIvPjQSv/ZE3BrEGidYVN3qMpQaVxNRoyFhZoK0RmhXMaJfJj+7fDwajdcSzU4JYVkSB8FLS7ewc185M8bkMH5Il7BOTbYXrcGSDa/+jbUZTeO1LdJT4igtP7QDqk/31G/8HikFCIGjNR4pYzItQ7gdOFjToM3nd0mwW/mccBVdslKQykU7LnW3ZAu446qJ3P/MKvIKK8jtlsotl40Pbh5o3R4YESLBdqBoOwc//jfC4yV9+kUEErPwReBIlRtruXKOgwnSvoFQwVGhlpSUcRHcXps7DODLrUVcdOpATp/Yu8PfJAMBlykju/PC25uoqA4WO47zWMyZ0odACzLLtwchwOsNnh5+vxNxOwUtFP9z1UR+/cxK9h+oolfXFH566dFvtpYl8SnN069+zY59ZZwwtCvzp/cFxzW5iNqJLWHmuJ4sXrYt1JaVkUBCnH3c+aeEAI/HJpigtfEKHoc78nXXVWQkevjlwknBBdsiGLhF2siK0TosSyLL88l/4Z5QW/WOL8n5zu/wi+SIu64ZDZkgrY1V+ZxQgFbn9U92csqEXjExM2Wj+d0PT+L91XsIBFxmje+FR2oiuT6vsCR+V/PK0q3YlmD2xFw8Fq2aHqKlXFfTOdnLvddPDq4nEnxjKgUXuOPPH7P/QBUAewq2cLDCx4LTBmFL0CZQa3OuozhvZn9Sk718tGYvvbqmcNnpg7HQxzWKJSxBjaNZ9N4WPLbkjEm5jVbwOBbHCT581l1/IvhUNFrIYynKV75Wv1G5VG38FHvoace1097jsdC10+VG+zNBWhvz2g2HlFMSYyf3i1u7ueG08T0Agd/vRHaAJsDnaL734Hv4ay9Kr360gz/86KSIy1dT97c9nputL6BCAVqdD7/IY8bYHmSmJ5BgdZyNHJYlg8sMInCUUAUcZk/oycyxOdgyWEvyeEaxhBBUBzTfe3ApTu37X1++gz/8+CRkRGwbMiKRQmKlZjVot1I74x7jfPdYkCCqqNq4AisxlcRew6l0vWZKsp1F2n0nKliWBEuipTxq9vw6tiWYNvpQ/jAp4Op5w/DE2F/e73ejYqOAx2Pz6vLtoQANgpUS3l+dh9cbvXl7PB7JkUsBM9MTOFjp49WPtuOJ4t/tcMK22Jpfzn8+2k5huR8RgbnjnICLVBrlqOMOjD0eyeJl20IBGgQ/l6s3FiA9FsK20FJiN/JQaMQuv1+ROv4MrKT0UJsnqydxPYd948iYlIJ4p5S9j/+AkrefoOg/v2P/c3eQZPmP+j2tQQhIsF1SPX6Sbb/5PGNG0ppMWoL9ZTU8+/oGfAGX82b2p39O2tG30LuKq+YMZe6UPuwprGB43854JWboOGJpZCPXhWjf62ABF54ykH+8tQkIPjxcMWcor3ywlcG5nTpEen5hSZ549Ws+WJ0HwAvvbOaas4YxfUS3BuebZUlcBFU+hzivhS2I6GS6moYbbgb0TGfMoGz2FVcRqB1VTU+OIzXeMqMdRkiFSqDrt+8nULgTYcdhZXSjwvHyTYmbvJbi4Acvop1DQZlTko9/32asLsPbbA1jiidA6btPUbnhY+zUTDqfeT0yrRd+N3aDNROkNYEQUONobn30o9A0yr1PruDe6yeT0ynxqB9c7bpkp8XRLSMex1HoyL0XxLxAwOXME/uw5OOd+PzBCcSkeJvpY3Lw+49vnlbW5oCLpLhHu4rTTujFjLE92LLnIF07J/Lqsu1s31vGzReN7RBVIFxNKECr8/c3N3Hi8O711n8KIfBr+PmfllFYUg3AGSfmcsGs/q2eWLa1OAGXeVP78tanu/AFXISAH148lvueWhEqVt+7awo3XjCapAQPZqWZUcd1NWWuF5kxEADl1xw7s6ZGBxruRNb+mjZL1xLvgbKPF1H59TIAnNL97P/n3eRc9yh+N65t/tEoELvhaTPYtsXHX+1rsM7lteU7EMcYalHKLLyMBlpDnCV45EczWXDqQC49fTC//9FJ2Mex7qeuTNPW/HLKfQoibarNVSTakhF9O7NlVwn9eqTxyI9PwiM0UgbXcUUz1UhU7ByW8LmOsCTPvbEhFKABvP7xDipqnIjNFxb8XMIjP57JxbMH8cOLxrJ++4FQgAawM7+cNZsLw9jL8LBqzztXBP9fHuNaLIQILlexLLQlsWJkSk0pfdxrNJXwkDbp7HptMj6J+N7fPE3aEpbyUb318/qNroNTmh88ZjHKjKQ1gdaaLumJDdqzOyVG7MXdaDrlKixg7om5gMbvd485LmFZkqJyPz/747LQerZZ43pw6emDI2p0xnUVuIqpI7oBtRduIdm8pxRHaQb1ysDSKiqny2wpGDUgkzWbi0Jt86b2Ce6ssGToODiuYnd+eYPvzy+qJK1HWsSmo1CuxkJz5sTeeDyS59/e1OA9+QeqiPNY+Dp4ep86wpJ8vauUR15cQ2V1gAE907nl8vFYgkbX+4naz8Ij//qCzzcW0ik1npsuHEVulxS0KVUHQIrXwbftM/xugK6X/ILyz99CJqaSesI8KttwREsJG2+X3jil++u126mZ6Ci8HrWW2HiEaCWOoxjatxO53Q4lDe2UGs+Zk/sQOM6pMCN6+P3OcU9xOhoef+XLehsO3l21B1+EVpcIBFwCARclBLc8uox7nlzBr59eyQ8f/gAnSi8LQmluXjCW684ZwbTROdx4wSj65aSz8N63WfT+1tDIpteWTBnVvd73WlLQNydyA7TD+f0O1dUBZozp0eC1WeN64DoOwpIUH6zGqR01OtboUrRSCB54bhWVtXkYN+8u5f8WrzvqIlJhSZ5dsoHPNwZHHA+U1XDPE5+hOuafp8m8HkH1V+9R/NofKX7jLxS99hiezt1Jm3oB5SqRtoz9fcom4+QrsdOzgw3SImPmpQRE7E51ghlJazLhKu68eiIFJdX4Ay49uiRjoU0VC4OSsoZrOCprAsQneSJqfVodj8di+br9FBw27Vda4eONT3Yyf0rv4w5QI4XWGh1wmDKyG35H8cYnO9m8Ozgd+N9l25k7tS9eguu7Zo3rSVmln3dX7iYjJY7vnDMCW0Dkh2hBSmkykrzcesUEnn9jA0ppvnXKQLp1TsJRmsUf7eCVD7ailGZIbid+etk4Ijr3TTMIAUUHqxtM4a3ffgBXNz4C4ShYs6X+lLDjagpLqslOi+8waWiay6trKPj8jdDXTkk+pcv+RcLAiWg7s9HvEUKQYAWwhQMIfMThCzT931ZKU2kl0+WSuxCOD2wPfu2h2ukYO8+bywRpTaSUBhXcCADBouImQDM8UnDyhF78/c2Noba0ZC+dUuPRETr1JAQkxtt89/xR+Pwu763azda8g5SUNww2o4kv4PLfZdvqBZ8AZRU+slLi0FqjAg7nTOvDvCl9APBE4Y5r7SqG9kzjzqsmAuCxBK6jKK0K8O+lW0LvW7/jAK8t38G8yb1xInRktzm0hs5pCVhS4B4WqA3t0xlbQmOzl5aAAT0yKCrdF2oTIpiOxkx3gtYCKyEZt6yoXrv0xB11r0Gqx0/xkj9RveVzRFwinU6+koTeY6l2mx5euK6i3PUCXmhGoNcRRee8RgRoyiJMo+NzHJfZE3vx7blD6dM9lckjuvPr707DiuAn84A6FNB8tHYvF88ezCkn9GLOlD5RF7AcziMl04+YCkyKt4M34sOOh+uoYOk3paL293UO/x0CLpYl2JZ3sMH7NuwoadOpqnCRaG65bDwpiR4ABvXK4Kp5Q4+6hklozVXzh9ErOwUIlqn77vmjiO2xmkN8Ip6MU74N4lBokDhoEq4V3+j74zxQtvK/VG8JLvjXviqKX/sjHl3d6PuNpjMjaYbRSlTAZebo7kwZ0Q1bCtDHl00+HGxbsmF3KY/8a02o7d4nP+ORn8wk3pYRVQKrqVzHZW7tCNkHq/eQ3SmJ75w9HKlV1ExnNpfrKob06dSgfcLQbGwrON3XkWhXMahnGg/fPAOtg0vRpNaN7vSF4MO11xLcec1EHFdjWxILHdWf99bkOAortSc51/2Bml3r8XTqhkjtQkXA0+j7LeWnZseXDdp9+3didR0Zsde/aGKCNCPEtiVam2LLLeE4CglNrqfY3hTwxqc767W5SrN2cyGTh3WlOWnTbFsS0ME1KpJgRv1wUQGHeVNyOX1S79oi4joqd6w2ldaQ4LH43oWjeeK/66j2OZw0tifTR3fH6QC58BrjHlGL9Fifurpyap7gFx0+cG8qnyvxkYTd+wSqlUYFjn7euNJLfM+h+PO31Wv3ZvXCb6aPW4UJ0gykJVBCsnZbMfFxNv1y0hBKmencDkwKQffMJFYd0d61cxKqGRfXypoAa7Yd4G//WUdFtZ+TJ/TiolMHoQLhW7HpBtzQeo6OGZ4chVKMH5jJuJ/MwnVrHxo6aIBmtJ3jWQLgC0DaxLPw799Gza6vEbaXjJMuwbET0WaxdqswQVqMEwL8Cm5+eGloG3tOVjJ3X3tih9sNZhziOi5nzejHR2v3caB2V+rwfp3plZ2C28TFS0JAabmPB58/lIjyjU92kpOVzEmju3WoxerRwnEUWRlJFBaWm5Eio02VO17S596MhQNC1u7INMvdW4sJ0mKcbVu8+M7mUIAGkFdYwdfbDzCiT0bULqg2vpnWweme33xvGoUl1cR5LdKSvM1KvGtZkg1bihu0f7oun6kjurZCbw3DiFRKaSqVh9oJZKOVmSAtxikNJRW+Bu0HK30xXYojFtStPeySGgfoZqcKcV1dL8FznYG9MrClxDEjsoZhGM1ixiRjnVacNa1fvSavLTlhaNcOUXT7mxwrCJWyrsafRHTgrO0tLQavtSYrI4GzZ/QNJXrv3yOd+VP74HTEvA+GYRjtxIykxTjX1WSlxXPPdZNZtHQLCXE25588gG15B8ntnopXig63Pb1uo8Te4ko6p8YTZ0v0Eb+jZUmqHc0f/rWaLbtLGda3EzecN6o2SabZUHGk1KQ4zpral7lT+uIqjccSCKWOoyy9EU2EAC0lChAILBHeXbyG0dGZIM0ApejROZGbLhjNe6t2c/f/fUpRaQ22JXno+9NJjbc6TGBi25LCMh8//9NyfLUjheee1J+5U3LrrcdygV/+7RP2FlUC8PnGQh54dhW3XDaOo6bejnG6diehBHC1WbDeAQnb5tEXv2Dl+gI8tuTCUwZyyrgeDR5yDMNoHWa606il2ZlfxlOvraeoNLjbz3EVz7+xAWTrfUws2wIr+D/Lbv883wEFf1y0NhSgASxauoUjY9CAq0MBWp2Nu0oavM8wYoVtS95ZuZuV6wsACDiK55ZsoLQy0OHWr9q2xOu1O9zvZUQfM5Jm1BJU+xquH6r2u0fN3t3kf8G2eG/1Hv71zmY0cP6sAcwcm4Nux+kSDRSWNCxZUlXjkOw9FIzaliAp3qay5lCyn85p8ZhLthGrGitODrBpVwknDu2C40T/E4yUAm1JvthazJ795UwdlUNKgm1GCo2wMSNpHYSUAttu/uF0XcXAXumkJnnrtZ83sx92K0QmliXIK6zgyVfXU1njUFXj8PRr69ldUIlltd/H0CNh2uicem3pyXEkJ9bfPm4BP1gwBm/t3zTea/HDi8fiaaSrliXBsqhRGm1ZiHb8fQyjvdgWjBmY1aB9UO+MDlPNQUvJPU+s4KHnP+eFdzbzvYeWsj2/HI/HVPc0wsOMpEUZ22MRqL0geqxgSRQsi73FVeQVlDNiQBZxlmjWk5+lNQ9+fzr/+WArB8p8zJvWh+z0hFbJlWbbFsu/3Neg/aM1e+l3+qBgqRZL4mooq/KTnhwXrMHXyk+wrqO4YNYA4rwWy9fuJadLMtfMH46ldb2s9MpV9M9J47FbT6a6xiEh3kZo3eBvYVmSMp/DHY99TGmFD0sKFp49nIlDss3Tt9GhOAHFzLE92by7lI+/3IfXY3HRaYNITfR0iM+6EHCw0s+WPaX12p9bsoGfXzHBjKIbYWGCtCgiLMm6HSU89drX+PwuZ03vx4yxOfx50Zd8si4fCBYY/sXCSfTJTmlyCg3XVdgCLpjZP5iSQatWq+PpuoohuZ14bfmOeu1D+3bCdTXCkry3Oo9nXl+P1pAUb3PP9VPISPS0ei1RFXA4a0ofzpzUG0sKxFEKodfdeBJsAY7b6HYBV8OjL66htDbXnKs0j7/8FROGdDUXdaPD0Y7DwnnDuHreMEB0uOLkjW2QclyFRpvz2QgLMy8TJYQQVNQ4/PqZleQXV1FS7uOZ19dTWe2EAjQIJqf923/W4W/m9IPW4ARcXMdt1SkMx1EM79uZE4Zmh9rGDe7CqP6ZOI6LCzxbG6ABVNY4PPriGtpqFsV1XKTWaLdlNUq1gF355fXalNJU1gSO8h2GEb20Dj68CFchXLdDBWhaQ0ZKHDlZyfXaz581gDjLhGhGeJiRtChh25KVa/bWa7OkoKK6YTAQsQGC63LdOSNYeNYIACxJKMt9VY3TYOfk3qJKtCCin2ClgPGDs/ngi7xQW1K8TXKCB0wiV8OIKkIp7r7uRN5btYfd+8s59YTedOuUQMDUnzXCxARpUUIpTW73+qV3/I4iIc6ia+dE8ourQu1zJvfBYwkiLcek1oCrCC3BdQ9lHEtO8JCa5KWs0h96/4nDu2EJIjvflqv49tyhOK5mxfp8crKS+d63RgfX04W7b0aLSSlRUlBW6Scl0YOEDrH+ymicUhqUy6njeoAIrk1t7eUWhtEUJkiLEq6ryO2ayglDs/ns6/0A5HZLJSMlnnuvm8LLH25lV345J43twej+mThRVtJJasU910/mTy+tJa+wgonDunLRaYOaXU+yvWgNwlUsnD+Ua+YPDRYul5jC9GFieyyU1khEi0tS2bZkV1EVd/3tU3wBF0sKfnDRWEbkZnSoab6mEIIWlRCLFh29/H63IAAAIABJREFUJJ4RPYTW0XvKFRdXtFkm/KysFAoLy4/9xnZUV5Il4AYXusfH2Uil0Fpj2Rau0thSRO0FxrIkLsF1dbYUaNdtcEOIxONiNP24SClACByt8VqyxQ8VliVxhWDxsm3syi/n5PG9GJKb0aIgX1uSWx5dFkruDMFULH/8ySxwI/8ca81zRViSmoCiqsYhIzUOS6sOk3ajvZlrWGRq6+MipaBz5+Rjv/EIZiStlUgpUEIQcDWWFFii9adF6qYLPYDHCu44rPsX6m5yURqfAYSmFSSgYnOgIiZYlqDGhadf+5q8wgqmjurOKRN6oQLOsb/5KFwh+NkfP2L/geC0/6oNBSw8ezjThndt0ajm4QEaQI3fJVB7DsYMS/Lk6+t5//PgusuMlDh+feNUPEIQxc/4EU9KgddyEVoRwBsVo/NaayoqDlJdXYFS0XUzKiiQqFa68di2l4yMLCyr5SGWCdJaiZKSu/7vU7bvLUMImDOlD+fO6FevHqRhGOAKya2PfkBJeTBtyY59ZVT7HOZPyQ3m/WsiIaC0wh8K0Oos/nAbE4d2bfYWdgEM79eZr7YWh9q6ZyZhW4I223YcYYQQlFYGQgEaQEm5j2eXbOCqOUPQHaDKQCTy2po4/wFK3/sn2ldNysT5eDrnUu1E9i27pKQQIQSdOmVjWdFVVsu2ZasEwlprKivLKCkpJDOzW4t/nknB0Qosj8V/PtzK9r1lQHDE67/LtlNa4Y+qD6lhtIeySn8oQKvz7srdNHcDndbgbaQURGK8p0U7g6XW3LxgLJNHdCM5wcOYgVncec2kmHqylVJQUFLVoH1fUSWuKWTbZuKpYd8Tt1C18VOqd6yl4J93Iw7mtWt1lubw+2tIT++MbXti9t4nhCApKRXH8R/7zcchlq43bcZ1FZt2lTZo35lfRuaAzA5R084wWktifMPLTqcW1kVN8FqMHdSFzzcGi39LAVfOGRrcxNHM4E8pjRSKhfOH4ergz5RHSXzcUbmuol+PNGxL4hz2e88Y2wOvJQlE2ZRWNPB4LKq3fI5266dSKl/5KkmnXI/rRnLwoxEisgPJ9tCaAaoJ0lqBx5KcOKIbX28/UK99cG6nmLqgG8bx8EjB6Sf2ZsnHO4Nf25Jrzx7RooBKKMVNF4xid0EFeYXljBnYhbhGpi+EAKQMreW04Bt3amqtwdWhKYdYPJtt4Fc3TOEvr3xFaXkNp57Qm6kju0XVBiVhSQJKU1ntkJbsDZaBi9Brs1IaT1J6g3YrMcPUPYhBJkhrBYGAy7RR3ckvruStT3eRnOjlmrOGE29JtFLYtkSI6N11aRitSbuKC2cNYM6UPhSWVNO7awoWLUtbojXguPTOSqRPdjKO4za6cUfYFo++tJaV6/cT77W5/MwhTBya3eHXjno8Vu01yGlyCg3lKrLT4rjl0nFowGsRXSl+LMnLH27nlQ+2ApCa5OW+704l0RZtlh2gJVxXkdR9IJ7MngSKdgMg45NJnXQW5c3fW1OPbUu82gcC/MRFxaaEWGWCtFaiAi4XzBzAeTMHoLXGI0ErjbItVm8porwqwKThXbHFNz+5G0a0klLg8VhoDX7/Me4mriLZI0nJTka5qtVGqFxX4x4lPYZtW7z68U5W1OYZrPY5/PnfXzKiXyZJHtEh839ZlkQJwftr91Ja7mPW+F4keAS6iRsfHEchCG6miLb7uc9RoQANgmsi//bKV9x4/khotCJv+FU4Xros+B+col0oXzVxOQOodONbZTdtvO0iS7ZzcNm/AEibdiF2Wk9qXOsY32mEg5k8bkXKccFxEa7CCSiUkNz6x4/47T9W89f/fMUN979Lld8N5oiKUkKAtCVYFlgWlm1O7JayLElcnI1tR+/pWFUToKQqwNNvbGTJil1gW40uchZChNZraN14Qeu2ElCaNVsKG7RvzSuN+AXZzaWE4CePfMhfX1nHi+9u4cbfvEdppdPsa5BlSUTt/6LhbyaE4EBZTYP2vUWVEb1BVylNmd9DTXp/Al1HctAfh9MKHZZSYNeUsP/v/0vN7q+p2f01+5//Xzz+0g650P+uu+7glVcWhb6+6aZrWbfuqzD2qOki/yyLUpYl2bCrpF5aAL+j+Nc7mxEyev/swrZ5ZslGFv7qbb7/26V8vrkQEQUX60glbIut+eU888ZGvtpRgvREX9Br25JteQe5+eEPeOOTnTz7+gZueWQZ6rCLvpQCYVsUV/gpKPMhbAurnYtWeywY0TezQXvf7mkRtz5JCLBsCyUFsna5RHNs2l1aL9ebUpp/vr0xuAuiiaQlKCr388hLa3n4hTXsKa6K+HNfa023zknEeeufV1NGdQ/mmoxwSrXu2jmPx6JizdtHtGoq1r6H1xt9155jmTPnLN5883UA8vP3UVJSwrBhw8Pcq6Yx051tRAjw+RpOu1T7HXSEDrEfi+2RvPP5Ht5ZGVwnUV4V4Hf//II//mQmCXZkTBdJKVBSUuNzsG2JR4qIrbUobcnij7bz0ntbAFjyyU5mjO3BlWcMjtg+N8bR8Pc3N9ZrKyytZmd+ObldklBKoy3JnX/5hF35wYze3Tonce/1k4H2W9vkBBRnTunDlj2lrN5UiNeWXHz6YJLi7Yj6ewshwJL8451NfLG5iEG90rnsjCFYzRh5VI2clMHUGU0LUISA6oDmJ498GOrDms2FPPT96XRK8kTk2q46Uit+dcMUHlv0JQUlVcwYk8PcKX1wW5A8OVpprbHTsxu02+nZEX0Mm2vMmHEUFRWyb99e3njjNU4//cxwd6nJTJDWRhxHMXJAJknxNpU1hy4G557UHxGl54Ljalau39+gfcOuEsYPyIyIxadaBoOB3fuDwcDkkd1YOH94RNYAdbXgPx9uq9f2weo9XHb64Kga4ha68S3nVu1ojcdj8dmGwlCABrCvuJKlq/M4dVwOfn87HhvH5aYLRqF07WiVABUBn9t6pODRF9ewckMwnci+okp25pdzx7dPoKlrqAb3yiAjJS6Ul04K+NYpAxG6ab+zx2Pz5sqdDW7kr328gytOH4Rqz2PYRMrVdE7yhjY+eKRoUYBm2xZObQm+ltaHbW9+v0vakCmUr1qCUxq8ltsZXUkcNImDEXwMm0sIwRlnzOXtt9/g3Xff4qGHHgl3l5rMBGltyNKKh28+iVc+2Ep5lZ/50/rSKTku4qZWjpdtCQb3zmDdtuJ67X26pUVEHT/bY/Gfj3aEAjSA5Wv3MWdyH3I6JUTkk2Kj4xmRPwtTjxRw6emD+XJLIXV/4q6dE+nRJRnluNi2IK+oosH35RVW1ObEaD/RkFJDIVhVm++tzva9ZcHAoIk/S2rFg9+fzjsrd1NSVsMZJ+aSHG83+RqktaZTWnyD9swW5rdrL657aONDcy+/Ugq0lLy8bDubd5dy4oiuTB7RvUXlzMKhwo0j+9K7cQ7sBSGwM7pR4XqJ1E0ULXXGGXO54YZr6NOnL5mZWeHuTpOZIK0Nua7GFpoLZ/UHgrs6m1MbTIjgBSLcgZATUMyd2oevthWzcWcJUgrOndGPtCRPREwXKaXZvvdgg/ad+WX0ykqKuFpyltDMm9Y3NN0JMGNMDyyi63Lpuore3VL5w49m8u6q3WRlJDBxWFekUrgEU9ScNKYH/166pd6U+OyJvaMrlUN70Zq0pDhKKw5VZfDaElvKJhd2D14zXM44oRdCBEdSmnOuBgIu44d0oVvnJPYVVwLQKTWe007o3b4joWGkhOCeJz5ja17wGvPl1iLyCiu5YGb/4KaxKOG6mjLXg0zNBUD5NdF1xWma7OyuZGd35Ywz5oW7K81igrQ2pvU35xSyLImsHTZvbE2XsCTVfpe8wgpyu6dit0Hh9qYQruKWS8fhKI2UIhhQRECABsHpteljcli14dAohBAwemBWRE5LKEcxd0ofhvftzKfr8hk1IIshuRmoKAxcEuJsEj2Sc6b1RWtNIOCGVptprUmJt/nFwkk8v2QjrtJceMoAOqfGmXQ0jbAl3HD+SO57emVo9Peq+cOQ6GaP/B0zJcpxkEpx7/WT2ZlfjuMq+uWkIbVqx1WF4RVwdShAq/PWpzs5b2b/MPWoZSJxZqG1aa0pLi7iwIFipk2bEe7uNIsJ0sKkbnHwxj2l5BVWMHFYVxI8Vr2AR1iSNz/bzd/fCi7KlgJ+fuUJDMxJDdv6r+CJXTvt4kbWFohAwGVU/0wumT2YVz/aTkK8zVVzh5JgW+hmjGC2B+249O2awsAewR2G0TyypLU+ajCglaJPl2R+euk4QAdLCkXx79qWXEcxICeNx289mb1FlXTtlIjHEvUCWiFE7eh6+32u60blcrskIYTAddyYCdAg+BAoBPUeppMSPGht6gBEqqVL3+HBB+/jRz+6Fa/XG+7uNIsJ0sLFkjzw7Cq+3hEsJfX0a+v534UnktslKRSAucA/39kU+hal4U+L1nL/jVPNReEoVMBl9oSezBrfA3Qw7YLT3Mrd7cR1VdSuU2yKuoSoQKvXfLQsgYPAVRqrdoQ3mkfptKuQQK/MxODu2MOXOliSg1UB9hRUMLBnOh6rfXcw1z2oxRop4MzJfXj1o+2htqvPGh4sZxZL0WoUmTnzFGbOPCXc3WgRE6SFgRDB9BV1ARoEn86efm09t105ASwZfJPS9MpOYce+stD7Sst9bZ50UFgylOhRimBdxEhIr3G8HMcNBQORtnHPaH1SCvxKcPcTn7Izv5zEeJubLhjN4F7pETMV31wNpqQsyUtLt4YCBSng9qsm0r9bSkTsru7QXMV5J/Vj1riebN93kKF9OhNvy4h/CDSiWzTt9O9QAo1cUJMSPDhK89DfV3PV3W9x9xOfce25IxmS2yn0numjc5BtGDEJ2+L5Nzex8Fdvc829b/P4K18hTFUBI4JpIXjs5bXsrE3xUVXj8ODzq1AdcLxZaeqN5CgNj7/8JSZOaCeuonOyhxMGZZFgARG6jMLoOEyQFgZaQ0ZqHNmdEuu1X37mEH7798/5qjbFxY59ZTzwzEqunj+c3G6pXHDyAK6YM7TN1ldZlmRHfhlvrdgVGjn75Kt8Vm0owBOFmfCN2OBq2LSzpF6b42rKKn1H+Y7oFWhkZPBghb9DlvSJVEppHCe6ZheM6GWmO8PE0ppf3TCFJR/vYE9BBadO7EVGShxfbz9Q730HympITrC5/coJeC2J04Y5eSxL8tXW4gbta7cUMXFIwyzVhhEJLAHD+mbyyVf7Qm0eW5KWHNfhFgvF2RY9uiSzp+BQ3rlTJvTCEjqmFvEbRqwwQVqY1C0UnzclNzhirjWO0g0uwAlxNl7bAtdt8zQSjuMyfnCXenm7ACYN79as/G6G0S6UZuFZwyitqGHDjhLSk+P4wYIxCB1Zu49bg4XifxeeyIvvbmJbXhmTR3ZjxpgcXLNT1jAa2LdvLxdddC65uX3rtf/61w+Rnd21wfv/9rc/A3D11de2S/+OhwnSwixwWCJIjy350cVjufMvn1BW6Sfea/HDi8e2KD9SUyilye6UyCWzB/Pie5tRSnPG5FyG5GZEdWoIo2PTWmNp+Okl40LlnmwRTGXR0biuRgqXBScPxFEKjyXMuWkY3yAzM4snn3w+3N1oNhOktRJpS5QWaDQeQbN2WjmOolOSh4dvnoHP7xLntZBatW8qAVdx2oSenDy+J4jgosVoTK5qxJa6tBB1i2w78idWa3BrdzA7HSghqZQC27ZiJiWNccjH6/JZ9P5Wist8dE6N49wZ/ThxWMORrtaybdsWfvvbB6iurqak5AALFlzKRRddHHrdcRx+9av/Zdu2rQCcc84FzJ9/DgcOFPPAA/eyf/9+pJRce+13mTBhYpv1E0yQ1iqkx+LZJRt5b9VuEuJsvj13GGMGZjarSFxdwsg4CThuWGoLuodNq5pLpWEYbU1YkoKDNaxYv5/BvTPo2z0N3cHWExqN+3hdPk+9vgF/7cBGcZmPp17fANAqgVpRUSFXXnkoADvttNMpLCzkiiuuZvz4E8jL28OVV15cL0j78ss1lJWV8cQTz3PwYCmPPPIw8+efw+9+9xvmzJnP1KkzKCoq4oYbrubJJ58nMTGpxf08GhOktZDHY/HeF3t5e8UuACqqA/zhX1/w6E9mkmiL0A4gIQSWFcwQbnYFtQ7LlgTcYHkqqXVMlDkxjI7GtiUffLmPv76yLtQ2fXQOV84Z0vxq6EbUWPT+1lCAVsfvKBa9v7VVgrTGpjtd1+XTTz/mmWeeYMuWzVRXV9V7vW/ffuzatZMf/vBGJk2awvXX3wTAypWfsXPnTv761+DaNcdxyMvbw4ABg1rcz6MxQVoLBZRmxdf7G7Sv336AEwZnBac9azOEb9pVwuDcTqTE21GfZDOchAjmc1v0/lY++SqfntnJXDN/OAl2+IvQA9i2RUBpbBnMem+CcsM4OkcL/v7mpnptH3yRx2VnDqE5iX+ECJ6DWmuT4LcNCRHMCOC6Gt2Ci1xxWeOpco7W3hr+539uJSUllSlTpnHyyafxzjtv1ns9LS2dZ555gRUrPuXjjz/iqqsu5ZlnXsB1Fb///Z9ITU0DgqN0GRmdGvsnWo3Jk9ZCthQMzs1o0N43Jy24yNeSvL1yNz/47fv88aW1fO/BpXz01T6kZf70zSUsyfNvbuSVD7ax/0AVK9cX8PM/LccV4f2bCiGQHptFH27jric+4/m3N6MtCylNDivDOCoBTmMPrc247wtLUuPCO5/nsX7XQYRtmRxybSDedknWZcgdn5Dk30+SJ9Dsn9U5Na5J7a1hxYrPuOaa65g27SS++OJzIDi6VmfZsvf55S/vYPLkqfzgBz8mISGBgoL9jBs3nkWL/gXA9u3buOKKBfh8NW3WTzAjaS3mBFzmTO7DV1uLWb/jAFIKzp7ej/RkL9pVKCQvvL253vc8t2QjJw7v3gHzobcPV8OHX+yt13agrIZqn0OCFca/qhT8cdEaPlsXHFndsa+MbXkH+dnl44nFWoeGcTwkcNa0vrzwzqHr5KgBmViSJu0AsW3JnuIqbn9sOXUrHwb2TOdnV0zocPnywslrC/Tutexd/LtQW+qEeSRMOLtZP+/cGf3qrUkL/huSc2f0A0CgEUKD6yCkjQq2tOh3uOqqhVx//TWkpCTTs2dvunXrzt69eaHXJ02awnvvvcNll12I1+tlxoxZ9OvXn5tv/in3338PV1yxAK01t9/+yzZdjwYmSGsdrstPLhmLU1vcWUJoOlNr3eAp0edvu4S0MUFDl4yEUBkgCA69x3mtsK5hUYgGU9+bd5fiKG1ONMM4CuW4nHFiLv16pPPR2r0M7dOJScO6oR2nSY82joKnXlvP4UtTN+0upbTCR3qCbZYdtJI44SP/nSfqtZWtfJWUE+Y06+fVrTtrbHenAITrI3Agn+CDrsBOy0R4k44rUOvWrTsvvri4QfuCBZeyYMGl9dpsW9bLj3bHHb9s8H2ZmVncf//DTfr9WsrcO1pB3fZ/G8Ctn0BTChgzKIvVGwtDbZNHdkfS8RJtthePhO+eP4rbH1seevr61ikDsQj3eJUmJdFLWaU/1OKxJZYUEAFr5QwjUmnHZUjPNIb2TgcNgWZUVlFofP6GI2b+gIIEQbivDh2FEKB89RfaoxWo5o9Wnjisa6ObBASKQGkhh46dxikrwpOViNaxMRfVpot4Fi9ezJlnnsmpp57Kc8891+D19evXc9555zF79mxuu+02HKfjjTAJpfn+hWO4ePYgRvbP5Io5Q7hm/nBTmLcFHEfRJS2ex249mXuvn8Kfbz2Z2Sf0CvtmDFvAd84eweFLYC4/c4hZ+GkYx8FxFAG/S6CZeRnjLMG5M/vXa8vKSKBLRkKLFrYb9fmVTcrImfXa4rr1Qwlv6/9jAlBHxAVaE0vDokK30ad3//79XHTRRSxatAiv18uCBQt46KGH6N//0Ek0d+5c7r77bkaPHs3Pf/5zhg8fzsUXX/wNP7W+4uKKNku7kJWVQmFh+bHfeJxsj4XjKmxL4ARMgNZcRx4XIURkXYAtiaM0O/eV0yM7mXhLomMgIG/t88VouVg8JsKS7Cqs5I1PdpCTmcwZk3OxtI6o5Lgd4bikxjlUfb2M6s0r8HYfQOr4OZQ7Xvbu3UHXrr1b7d+RaNyygnojd8L2Ymd0Q7Xy469ty1bdDZyfv7Pe30JKQefOyU3+OW32kL98+XImTZpEeno6iYmJzJ49myVLloRez8vLo6amhtGjRwNw7rnn1nu9o3ECLihtArRWFlEBGoCrsLVmYE4KcYKYCNAMI1JoV5GblcR1Zw1n3pRccNyICtA6ijKfjRg8i9Q5N+Mddw4H/Z42GTBRCOy0LGRCCkgbGZ+EndG11QO0SNZma9IKCgrIysoKfd2lSxfWrl171NezsrLYv79hvjHDiEaRkK/NMGKR66qOXRcsQgQCigB2m6+3dbVEJnfGStZoBCrG8iK0WZDW2AjH4flqjvX68WjO0GFTZGWltOnPN5rHHJfIZI5L5DHHJDJ11ONSUCCx7egd5WrNvkspW+U4t1mQlp2dzcqVK0NfFxQU0KVLl3qvFxUVhb4uLCys9/rxiKY1aUbrMMclMpnjEnnMMYlMHfm4KKWitspDa69JU0rVO87NXZPWZkHa5MmT+cMf/sCBAwdISEjgzTff5K677gq9npOTQ1xcHKtWrWLcuHG8/PLLTJ8+va26YxiGYRhGDHnwwV/z5ZdrcJwAe/bsJje3LwAXXLCAOXPmh7l3x6dNR9JuvvlmLr/8cgKBAOeffz4jR45k4cKFfO9732PEiBH85je/4fbbb6eyspKhQ4dy+eWXt1V3DMMwDMOIIT/60S0A7Nu3l5tuurZBofVo0KbJbOfNm8e8efPqtf3lL38J/ffgwYN58cUX27ILhmEYhmFEMP/m5fhXvISuKEYkd8Y74Ty8Aya32b/3t7/9mXXrvqKgIJ9zz72Qd999i4ULr2PUqLGhgO7FFxdz4EAxDzxwL/v370dKybXXfpcJEya2Wb8aYyoOGIZhGIYRFv7Ny/F9+CQ4wUotuqI4+DW0aaDm9/t49tlgsfR3332r0ff87ne/Yc6c+UydOoOioiJuuOFqnnzy+Tav13k4E6QZhmEYhhEW/hUvhQK0EMePf8VLbRqkDR06/JjvWbnyM3bu3Mlf//rnYLcch7y8PQwYMKjN+nUkE6QZhmEYhhEWuqK4Se2tJS4uLvTfwfRfwUwRh5endF3F73//J1JT0wAoKiokI6NTm/brSNGb0MQwDMMwjKgmkjs3qb0tpKWls23bVgA+/HBpqH3cuPEsWhScEt2+fRtXXLEAn6+m3foFJkgzDMMwDCNMvBPOA/uI4uy2N9jeTi655HJeeulfXHXVJfh8vlD7zTf/lK+//oorrljAnXf+jNtv/2W7rkeDNiyw3h5MMtvYY45LZDLHJfKYYxKZOvJxObKo+PFq792djYnUAutmTZphGIZhGGHjHTC53YOyaGGmOw3DMAzDMCKQCdIMwzAMwzAikAnSDMMwDMNoBQKto7PAemtqzaX+JkgzDMMwDKPFvN54SkuLcJxAqwYq0URrTWVlGfaRO1abyWwcMAzDMAyjxTIysqioOMiBA/tRyg13d5pESolSrTMKaNteMjKyWudntcpPMQzDMAwjpgkhSElJJyUlPdxdabJITY1ipjsNwzAMwzAikAnSDMMwDMMwIlBUT3dKKaL65xvNY45LZDLHJfKYYxKZzHGJTG15XJr7s6O6LJRhGIZhGEZHZaY7DcMwDMMwIpAJ0gzDMAzDMCKQCdIMwzAMwzAikAnSDMMwDMMwIpAJ0gzDMAzDMCKQCdIMwzAMwzAikAnSDMMwDMMwIpAJ0gzDMAzDMCKQCdIMwzAMwzAiUMwHaYsXL+bMM8/k1FNP5bnnnmvw+vr16znvvPOYPXs2t912G47jhKGXsedYx+Xtt9/mrLPOYv78+dxwww0cPHgwDL2MLcc6JnWWLl3KrFmz2rFnse1Yx2Xbtm1cdtllzJ8/n6uvvtqcK+3kWMdl3bp1nHfeecyfP59rr72WsrKyMPQy9lRUVDB37lz27NnT4LWIvN/rGJafn69nzpypS0pKdGVlpZ43b57evHlzvffMmTNHr169Wmut9c9+9jP93HPPhaOrMeVYx6W8vFxPmTJF5+fna621fvjhh/Vdd90Vru7GhOM5V7TWurCwUJ9++ul65syZYehl7DnWcVFK6dNOO02///77WmutH3jgAX3//feHq7sx43jOl4suukgvXbpUa631r371K/3QQw+Fo6sx5YsvvtBz587Vw4YN07t3727weiTe72N6JG358uVMmjSJ9PR0EhMTmT17NkuWLAm9npeXR01NDaNHjwbg3HPPrfe60TaOdVwCgQC/+MUvyM7OBmDQoEHs27cvXN2NCcc6JnVuv/12brzxxjD0MDYd67isW7eOxMREpk+fDsB1113HJZdcEq7uxozjOV+UUlRWVgJQXV1NfHx8OLoaU1544QXuvPNOunTp0uC1SL3fx3SQVlBQQFZWVujrLl26sH///qO+npWVVe91o20c67hkZGRwyimnAFBTU8Pjjz8e+tpoG8c6JgBPP/00Q4cOZdSoUe3dvZh1rOOya9cuMjMzueWWW5g3bx533nkniYmJ4ehqTDme8+XWW2/ltttuY+rUqSxfvpwFCxa0dzdjzj333MP48eMbfS1S7/cxHaRprRu0CSGO+3WjbRzv3728vJyFCxcyePBgzjnnnPboWsw61jHZtGkTb775JjfccEN7divmHeu4OI7DZ599xqWXXsrixYvp2bMn9913X3t2MSYd67jU1NRw22238dRTT7Fs2TIuvvhibrnllvbsonGESL3fx3SQlp2dTVFRUejrgoKCesOgR75eWFjY6DCp0bqOdVzq2i6++GIGDx7MPffc095djDnHOiZLliyhsLCQ8847j+985zuh42O0rWMdl6ysLHr37s2IESMAmDvT/UR/AAACwElEQVR3LmvXrm33fsaaYx2XTZs2ERcXx8iRIwH41re+xWefffb/7d0/SKpRHMbx51JhSxBEGjQ0tfQPWl2d3imIws0GEZqsbBFyESFBpKaWwDHHtEkUam1qjZaaJcghUDGx927e2+WCLXUOne9nPcsDP+Q8nqPv++058Yet+73TJS0cDuv29latVkvdbleNRmP42w1Jmp+fVyAQ0N3dnSSpWq1+WMfXGDWXwWCg3d1deZ6no6MjK77t/HSjZpJMJlWv13V1daXz83MFg0GVy2WDid0wai7r6+tqtVp6eHiQJN3c3Gh5edlUXGeMmsvCwoKazaaenp4kSdfX18MiDTNs3e/HTQcwKRQK6eDgQLFYTP1+X1tbW1pbW1MikVAymdTq6qqKxaIymYza7baWlpYUi8VMx/7xRs2l2Wzq/v5eg8FA9XpdkrSyssKJ2hf6zGcF3+8zczk7O1Mmk1G329Xc3JwKhYLp2D/eZ+aSz+e1v78v3/c1MzOj4+Nj07GdZPt+/8v/30UsAAAAjHL6uhMAAMBWlDQAAAALUdIAAAAsREkDAACwECUNAADAQpQ0APiH7/tKp9MqlUqmowBwGCUNAP7y+PionZ0d1Wo101EAOI6SBsBJlUpFkUhE7XZbnU5HnuepWq3q4uJCm5ub8jzPdEQAjuNhtgCcdXh4qKmpKb29vWlsbEy5XG64lk6ntbi4qHg8bjAhAJc5/VooAG7LZrPa2NjQ5OSkLi8vTccBgA+47gTgrJeXF/V6Pb2+vur5+dl0HAD4gJM0AE7q9/tKpVLa29vT+/u7UqmUyuWyJiYmTEcDAEmcpAFw1MnJiWZnZ7W9va1oNKrp6Wmdnp6ajgUAQ/xxAAAAwEKcpAEAAFiIkgYAAGAhShoAAICFKGkAAAAWoqQBAABYiJIGAABgIUoaAACAhShpAAAAFvoNNCs7It5b21IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the training data\n",
    "sns.scatterplot(x='x1',y='x2',hue='y',data=train_df_5)\n",
    "\n",
    "# calculate the naive classifier's error\n",
    "print('naive classifier error: {}'.format(train_df_5.y.sum() / train_df_5.shape[0]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(c) Fit a logistic regression model to the data, using `X1` and `X2` as predictors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_x = train_df_5.drop('y', axis=1)\n",
    "train_y = train_df_5.y\n",
    "logit = linear_model.LogisticRegression().fit(train_x, train_y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(d) Apply this model to the training data in order to obtain a pre- dicted class label for each training observation. Plot the ob- servations, colored according to the predicted class labels. The decision boundary should be linear."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10ace96d8>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scatter_df = {'pred' : logit.predict(train_x),\\\n",
    "              'x1' : train_x.x1,\\\n",
    "              'x2' : train_x.x2}\n",
    "sns.scatterplot(x='x1', y='x2', hue='pred', data = scatter_df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(e) Now fit a logistic regression model to the data using non-linear functions of `X1` and `X2` as predictors (e.g. `X1^2, X1 ×X2, log(X2)`, and so forth)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "d_matrix = pt.dmatrix('x1 + x2 + np.power(x1, 2) + np.power(x2, 2) + (x1 * x2)', train_df_5)\n",
    "logit = linear_model.LogisticRegression(fit_intercept=False).fit(d_matrix, train_df_5.y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(f) Apply this model to the training data in order to obtain a predicted class label for each training observation. Plot the ob- servations, colored according to the predicted class labels. The decision boundary should be obviously non-linear. If it is not, then repeat (a)-(e) until you come up with an example in which the predicted class labels are obviously non-linear."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10b90b710>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "scatter_df = {'pred' : logit.predict(d_matrix),\\\n",
    "              'x1' : train_df_5.x1,\\\n",
    "              'x2' : train_df_5.x2}\n",
    "sns.scatterplot(x='x1', y='x2', hue='pred', data = scatter_df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(g) Fit a support vector classifier to the data with `X1` and `X2` as predictors. Obtain a class prediction for each training observation. Plot the observations, colored according to the predicted class labels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10bae8da0>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Cp0B8p31J7X44Xb+85I0fEhK7Y3sGH/0n8UNnsS1T9KJmSLhsMV3/uhJCHxlPM+XMr1Cw2mtiqbzkG0Rm7ce0C/dCBR5K2uRVlDAc32NTSo24j28j2XQGikLG0sNGZTy90WXM0MlTeOmRIb8/cMevaTvly/jYw39hHJkipLjiuSFjyi2ivBI0+OYnrToiZkAEF69/FVbLVFwR2Ww6TS3SQZq2zSmlMJomY7VOHTKb1rzoVFwRYUuXkku+gb393kw5fx4C8JSJMiCx60Hknr0XM9lC66FnkX3qDiJT3kGgJNuyr4gtPLr+9X+VmY+wkKHv5p/Q8t7PkK+Ri6TjSxwiQGT90z6+AZqUBkHgY5rWuB7HeAoCHymHX0xcN6Bp7kIyj9xIkFsHlAO05PzDGHSH334of3gp+dApIKpYNihqhtjCg8AnNCyK4ZZ1ZfGVIDJ1R5yVL1bGhGkjrCjUWEV8rfbZJtD1DF03XEE5nUPQdsxFRGbuU3etEnWQpo2LnG8z+czLKLz4EF7/qsrGgZE2135r0cNSAM2HnEl673fhD/aSfeLfhJ5HeuGpZNzqB2iGIYnLEvgOEpP0XkeRefSfbxxvz+vIGqmtV4tisSTZ7Dqam9sQG6k23+iUCslmB4jFNp5gnAuiTD3325RWPAdKEd1+1/WbPIa/p2QsNexGKL33u/FEdWamYmaA/8oDrLr9N6jAw2qfzqRTP09WxDdbe89RNu3H/gfd116OP7AGGYnTfvzHKYUTN1jXtl5EOKy55Ure+Fwo+m/7FdMu2H39TWn90EGaNi7CUDHoWlhzDiUiBQUvGJNyJkpBxrWIxdqwYmlaj55FKG2ynk21q1ZLKUiQpfv3l+Gv6wbDpGXRaTQdcCKDD/4VgNiOe+Er/bHblGSyiYGBXrq7VzIxq4wLbDtKMtm00e8GgWIwsDE79wJg0A3Z1PNkJpuZfOZXyCy+Ca/3dRLzDsHafj65KqV5Wcqh59ZfVr721q5g3Z2/JX7Y+ZtdZgoCRd5I03HmZcjAA8OkpCJsZIJQ0zZLKEVYyg8ZU25pSNP2eqGvFg3ENkKi0kP5DsKMUght/PHvWPW2vCq01FIKCr4FrL8LD2BbXPAj0qf/1l+WAzSAwGfgrmuY9sFvMrj4JuKz9qD1neeR8cxtcjz1SAhBa+uk8T6MmmYY5dpoW1J+aNCNEFlwMlHl4wubXJVmk6UU+IM9w8ad1a+SUj6w+VygIFDkAhuwx3vVXatzPibRGfMoLV9SGYt0ziGow5Cn/o5Y2yjbVBjdL7DqxitQnoOMp5l8+pcoRSePeAlxoikXBwUlBK4XbnUtKUP5uN3L3jKqUIFH50d+jBdKMp5ZV22XtNphGoKE4eCsegkZTWK0dpL37c0Ga46nKAdJ1btjC0OF1TKl3JXlTbtPY7N2J5D2tkwF1TRKoUX78R9n3X1/xnl9CZHtdqFp0enrbwLq6/yrg7QGERVuJUCDcpL62huvoP3UL5OrkST1WhQ1A4xcN9lHb8ZItpBecAw5Fd+iZOe38qVNbNae5J66vTImDAuZ6iDjbsitqa8ThFYbhBDEVY5VV15C6BQAsCfvQPspnyfr1kbeVim0mfS+z9L3z58SZAeIz96b9IGnkK2T7hVbyzIhioMgJMSgqLZss4RWPWGoyHg2sYVnkjzAJRA2WV/U5Q2yDtIahPLdSoC2gbd2JXVeIqaqDEMi1y1nzTWXVsZyz9zFtPO/x2Aw8sDW8QVNi04nLOUovLQYs6mDtmMvphTqIFkbnZitGLz7L5UADcDtXorfuxyjdXZNBAVOILHad2Ly+7+BEOArg6xn1eWFcUvZhsIcWEb3jVcQ5NdhT9mBjpMuIScTE6JdVy1TivXt7epro8Bb6SCtUZgRjGRzZWs+lAu7+mri7ZDbUrbwyDz01yFjYTGLs+oljMm7jbiWmVLl/qnJIz5My5HnEyooEdXLzdqoRMwQ08kQ5AaGfS/Ir0O0De0aMZ48P8QbclGsjeOqlqh0WfWXb1ZukN01S+m/+Wekj/k4hQYqCm2aEgsXELjKrImbgolCX8EbRDGMMPn0L2NPKvf7i86YR9txH9Nb2N+GEqJSbf/NhLnxkgZb9JhKUfQNMp5Nzrd1gKaNWkSV6P3Hj0jOP2TIuDBtYjPm6ffYOCoX3B26glFa+QKGaJwkvJgZYPe/QuamH5C95UfESt1ETB2kbSuNE+pPcH6gKFjttL7vCxgS/FCSCy095f423MCgedFpFF55HMLyXn+rdSrWpJkUXf28bS3DkMRECbn+fViqofehYUgsGaKQOF7tBzemKSktfw531SsEuQE6jv8Y2afvREbjtBx8BoWwvpdy6p2wYwjTRvlv1DWJdM4hUPVX2X5jpBTIXDdr/nhZZay49Gk6P3wFrkhu9SYrbcvpIK2BBEH4lkr2+hP0dsJQ4URa6bzwCgovPoSRaCEyYz45v/52ANUKwxDEvT7W3vgD3J7lRKfvQtvxHyPH+OfoxC0f+l4n98StGM2TaFpwLLkwVhMtujYlDBV2y2QA+m//DZFps4nPXoDZOhUv0oqnbybGVUnZdJx0CWv/fgVhMYfVMZ22d19ELrRohHOIbUL2sX8OHQwDCi88hDXvXbjboED4RKeDNK1hCQG2baIUuJuoiun6ApcE1i5HEShF5m2Kg2qbF5cO3X/6GkG2H4DSiudZe8MVtLzn0+THcendNCVh13P0/u37lbH8c/cx5ZxvktmKTSLbShgqZNMUYjvuTfHVx3BWvYyf7WPq+79OxtPv0/Hm+gKrfTZTzvseIgwIhVnuf1vDgf9IhAiMVNuwcSPVSlAjs+ONTgdpWkOyjZBomCP7yL+RkSRN8w8lF0Y3mfBajaK6E1LgVgK0DZyuFzHE+F60bFVi4OEbhowF2X78gdXI1Mxxn+V7O3nfovnoj9Di5lFeCZloJRdGUXVYPb0ReT5v2SzROK+L64Y07X00+WfuJMgPAmC1dRKZMX/9Da1WbTpI0xqOlIKIN0jXrz5dKayZefQmpp333a0qraFtOWFYiEgc9aZSEVbrNEI13rVgBNIanr8lrUjN59UoBTnPAtGMiIDyoJECAa225cIYUz74HdzupUjTxmzr1Ckh25De3TlGTMtAGhLLaoyE0XpmG6rcK/NNlc/DQobi0qcwTf2Wr6aSsul4zycQdhQAGU/T/p5PUCI6rsflEKH50LPgTU3b7ak7IpJtdVXHq44OdatFzYAmq0RKrSNtuRjGeAf4E1sQKDKujde+M6WmWWTczXe50MaOnkkbJSkFSkr+/sAylq7KcMiencyf1UZY600zG4SUAssUKASeF0yIi1gtc32B3TabaRdcsb6HbIRCGBn3MhFBEOInptJ54Q8pvLwYs2kS9rQ5DT8jEImYuK5fN5+LmOnjPXcnvXf/AVSIkWhm8llfJS+b6zYwEAJiho8pAhQQBrHxPqStomujjQ8dpI1SKCRfufIhXu/OAvDo892cdfTOvGvBdHwdqFVVxAiwnAGyD9yEjKVJ7X00BRXHDaDpgBPJP39/ZTZNxtPEdtidQZ1HUXVuIHCDCBABb7yP5g1OIHFFEnPnI/FCRWkUm0RMUxKhhEThiQilGvp/GoYgKUsM3HcLQTFHco934hpJnKD2Z5EtXHruuoYNr0uQX0f/LVfSdOwn6rY4bMryGLjl5xRefgwZTdD2rvOJdu5GyderLtrm1ee7voaUXL8SoG1w031LOXzv7diWk/RCCKKGjyUCAgUlFa3p0gKjZRgCq9jL6qs/x4YTeu6p25l6/vfIeBEcq4nOC35A9snbkNEEyXmHkAu2vkit1hiUGv0mkYgRYgwspe/WXxDkB0nufjipfU4g69bG6TRpOKz61SWEhQwAmUdvZtp538Ez22p6NkoICPMZ3voZ9fpWIgmox8tVxILc4r9TePlRAMJSjt4brqDzoh9TIjHOR6fVg9q/tapxpjH8KYxFzG0aCwghSFsOuX//lK6fXUz/9d8g7vZi1sCNWrkMhkHElsgxbCRqyaCcd/amJzos5XBeX4JpStxAkiWFve8pGPOPYdDTTY+1sRERDt1//BpeXxdhKUfm4RspPncPtrV1p1PTlBgbOY9s7WOVlj1TCdAACAMGH7we26jt979SIFOtCGto/mJ89r74orobfoSAuOmTNkukrRJRc2xWQUzlUlz29LBxr2eZzrXTtogO0kbJNAQHzp9a+VoI+ODxc9mW+wdihkf/Lf9XvlsLfNw1S1nzh68Sl+7mf7mKDEOQNkt4j15H6Z5fEXd6xuzkBwJhbqTulvHGmFLgOP4ma6Rp2kgZhsRZ/Qq8pfxF4YUHMMPSiB7LNEQ5Mb7rcaze50jb3pjeyAxVHwFBMbSZcvZXsSfPRNhRkvMPJX3QKTh+dY8/Zftk//1zun7yEbp++lGcx24gYY1+DVtKSWTa7GHjVuu0uskT1MZX/c0f1xgRhlzwnnkcc+BMlq3JsuecDmK2gb8NW86YIqTw6hNDxsJCBuWVgPErOZE0HFb98hLCYnk5OPf03Uz5wOUYie1GvRTrBpKmA99H/oWHICgHYWa6g8h2O+v6PVrVhKHCap06bNzq2J5QWrCF9yBCQJw8q3/5GcJSrvwYrVOZdOZlZNytL/rr+yGJmfMxEk2VulZIo5yjGdROI/ZN8XxQsam0nvx5pFB4WGRdWdWAxrIkxRceoPDy4vJAGJB5+Ebic/ZFJqaPaok4CCG917twe5bjdL2EMCyaF54M0tBBmrZFdJA2SkoBfsB2bXFmTEri+wFqG+eCBQrsjum43cveGDRMhDV+idumKSmteL4SoJUpMg9eT+KdFxOMchI3DBWO2UTnh6+g8PwDiFiK+I57kQui6BpSWrUopVDRZlJ7HkX2iVsBMJsn07TwFLIjmO2xLUHmoX9UAjQAr381zuvPYm6316h2w+aCCFPP/TaF5+7FL2RJ7XEEjkwR1slyv++H+Nvw5tIgIL+RJUln5QsYc2cQhls/++8oGxkq0nu+E+uID6CUorTyRZQZQzVgx4ioGWILD5TCx6QYlDu+WJaBUmrcd3nXIx2kjZEwVKP6MI9GSUVpP/Y/WPOHr5aDIsOk7egLcdT4teFRqlzY9K2EaSHE2CxduEG5pZM972iUgkE3QAdoWrXlPZP4AaeSPuC9KN8DK0Z+hB0AhFKE+XXDxoPC4Kg/H0GgGAwidBx4IplMkazro/RG800KMIjuuHcluX+D6PbzKIzyhjsIQrxYG5Ht4hRefQyzaRLp3Q9joGhS67OaIxU3fZwlt7H2/utQgUd89j60Hn0hyncovPgoRrKF+Ha7kPNrp85azAywhUfoFvFzPqZh4dfYzYwO0hpAEIQUI+1MPe+7KK+EsKI4oYXjj1/KYRCEJKa9A7NpEv5gT3nQMGlaeAr5QDKWJyjd5LcxSClq5uS9OQXfpHL63IoOAF4oSO1zHPnnH6iMCcMiPnsfMmPYosxxdD7m5nheSPod+5Dc7SVyz9yNMC2aDzyZMNlOuJWzXUKAZZUDMccFhwTWnMPwQoWRSKAK2c0+Rj2RUiCL/ay754+VMXftCsJMD6t+9+VKSorVMZ1Jp315VEv6YyVm+rjP3kHP3X8AFDKeZsrZX6NgNNfUJjMdpDUIP4BMjdWmygdRJr//vym99gRBfpDE3IWUiNfNsou2bVgmxKSLP7AGI9FEaMXJe+N/Eq+mIFAEyclMOfsyBh/8G9KO0nTQqZREfRY6rXcZ1yR+0Nk0LTodABebgrd1M5q2oYhSIPfkXUg7RtPcheSCaEP3BzYMibPyxSFjyV0PYt3911UCNACvdwV+fxcyvcO435BZuJUADcp53OWafP9Jgdo5/+ggTauaIAjJBDbWDgdiCMjqjgDaWxiGIOr2s+o3n0e5RQCSux1O8qAzyPu1c6KshpJvYKRmkjr6P1AI8oEk9Mf3A1JPs5ljregbFBndtnwpBZFgkK5ffqoSnGQevoGpH/xOQ/cN9v2QxPSdh4wJ0yb0nGE/G7ql9Uv64/c+E4L1ZWo2UpNvBGkL24IuwaFVnecFuK4O0LThIsKj/7ZfVQI0gNzTdyD9wtv8VuMIgpCiJyl54xscRc2QtFkimllK2iwSNRp31qeabAMyD/5tyOxRkB9wK9anAAAgAElEQVSkuPRJzFooXFklSinCaDMth56FMG1AEDpFmvZ/z5Cfk/E09pRZ415oXSmQyVaEPXTmOj5nX3xZW8G0nknTtpgQgoipAIUXGuP+QWtkUgoi0sdQPr6wcQLRkEGuUAH+4Nph40Ehg0g011Xz83plm8Dq5+j62/fX138TtB17MZEZC6pen6zxqGE19ABUGDJG+6VqVsG3iM49kmm7HgwofFUOL6ac/TWyj96EkWor52HWSOeXYmAz5ayv0vfPn+ENrCG58/6kDzyF7FYuc1eLDtK0LWIZEFNZBu+9nrCUJb3vCYTpaRR1/7kxZxiSBDkGbrsaZ81rxHbYjeZFZ5Dx7IYLWnwZITnvYNbd+6fKmIjEMZsmNWSJgloUEQ5r/vWzNwUXiv5//5JpF+yGQ2Rcj63euIEgvf97yD133xt9g6NJ4rP2ZLCBc9I2KPmC0lveM0ZqBvEjPoISgqynauYc5gUQRqfQetJnkSjsRJL+jFdzN8M6SNsGTFPiheWZKCkgrMPG63Hp0HXlp1Fuuap64aXFTDn7axipGXpGbYzFRImeP12O19cFQO6pOwgLGVLv/Mj6XYWNw/Egtfs7QQjyS+7GbJpEy5HnUlA6ONhSG2a4hQrwsEZci0qgCIu5IWPKLVWCjGoxDIlplmeIG2WHdhgqXLuZaR/6PtnH/4WMJEjtcST5MEotzB6NhyAICQKoxf9/EITk19fk67CjKFUju+7epLHO+DVIGJLX1uT42V+fZiDrcMSC6Zx6xGzCOrqrMk1JcdnTlQBtg8zDN5A46mKCQKc2jiURupUAbYPCy4/RclR9NpnenKxrYs9/N+3zDiPEIB9a455AXy9MQxAnx+C91xHk+kktOAa7YxYFb8vfJ74yic6YR2n5kspYZOqOhKJ6GzcSlo/qf538kruxJs8ivfOBNVU/azQcX+KKZiIHnLW+fqNPLQYoWn1ovDN+jfEVXParhysnn5sfWEZrOspR+0zHr5NATSmQ0cSwcRlNoveejD1hWAjDQgVv3NUZqVaUqq1cibFimRCjhNu/EjPZQiySJh/qU9OWSBgOq37xGcJSHoDia0/ScfJnMCfP3+LHKIUW7cd/nHX3/JHS688S6dyJ5kPPIhfYVCO4sC2B+8rD9N9yZXngmbvJL7mLtpM/Ty5sjB29SqmtrlFnmpIoJaRQBEpSDBsjeNW2jj4TVpFhSF5asW7YB+zBJas5dK/OuglvgiAkMXU2Vus0vP5VAAgrStOBJ69vhVNfJxAhysnSQoX4mDXXqsRVFi1Hnkv/Lb8AFEiT9mMvpkjjtbwyDEnU6aXrN19Y32sWErseTOrQD5AfwWxQvRBCEDV8THwCDEqhtdUXYMOQOGterQRoG2Qf+QdNx88G4lv0OGGoyHg2sYPeT1K5BMIi6xtVyx2yVYmeB/86ZMxdsxThFYCmqvzNemEaEC11s/aGH+D1dRHZbifaT/gEOeI6UJugGu8sWEPCMKSzIzlsfNa0JiwpCOroQ5fzbSad+VXcVS8RlnLEdtidQhhFvaUwbcL0MZSD8l2wExTCaE3lrBmGICEKZB66AX+wh9Se78KetOOIloeqreRLorP2o/PivfAzazGbJuGEds0Fk2MhIhz6b7uqEqAB5J+9h6aFJ9NoF2wpBUmjyMC/f0VpxXNEps6m9V0XkDeSW/UZUUohIxuZ4Y4lUGJkG3qUKid9U0n6ru65ScjhxyeEqLn7PcsyMAgIkHhe9T9/MenS/af/JsgPAuCsfJG+v/+QpuP/i0KDzDJqI1Mvkzl1wzQlyjDAMJCGQSJq8p6DZ1W2X09rT3DakXMIayhw2RJhqMi4Ft7k+YQzD2DQi/LW1dqk5ZG96yq6fvpRVl35SQbv/QMpo0Ba5khZDqYx/st1CcNhza8/S/axf1F85XF6/vwNgpVLMM3a+iiUApOMH6OY2J6MFyGUJpGIUXPHOVpChfiZvmHjQSEzZj1ea0VMuqy94QcUXnqEsJij+NoT9PzlG8REafO/vBFhqDBapmJP3bEyJkyb5oPPwAlqd9e1Q4zmg08fMhbdfi6hWVvdFlK2j3x9MfnbfoJ64XbSEX+z70kpBbZtYGztuc53KgHaBqUVz2OKGotetW2mdqYPGoAwJA88183v//UCnh9ywqJZHHPATN67aBbHL5qF54dETIkB1FmMVrGpO34pBSrbS/65+wGIzdqD5E770fWrzxAWMhjJFiad+nmKkcnjNrMmpcDv6xp2Esw+8nea3zsXn9oqYlimSNk+7rLHKC17itg7FhDbbi5ZtzE+up6MktztMNbdfU1lTEYTmM2TUW5jXZgMApyVLwwZ83pXIJUHW/ney/s27Sd/Fr93OUFuHdEZ8yiqaE23XvP8kNh285n6wW+Tf/4B7Ck7ENluLlmvOjlwWyNqKnKP3EDmkb8DUHjxEYqvPkbzMf+5yU4YCcuDTA+lpU8Rmb4zsnU6uRG2NxOmjbCjQzZpWR3TqeGXU6uyxjjT1wApBX05h59d/0xl7NrbX2bmtCbmzWhG+SERAQQh9bFdYGSkFEN2JDbtezw9N16xvvUGBLkBev/6PTrOuIzcOAVDSoG0o8PGRSQOojZnqGKGz+AdV5N/7j4AckvuIbX30UT3O5WSX5vHPBKup0jNPxwhDXJL7sJqnkzzYR+gUCMFL8eSEhIj2UyQW1cZE5E4SJOtPSmEoSLrWhitsxFtgkydLIkXfRMZmYy14H0EYUjGDRFCYdsmSqlx73NpC4+1j98yZKy0bAmG8gAL2xREhIMAXCxA4Cy5k4E33Wyk9jyK2AGnjaiWZCm06XjPJ+m94Qcot4iRbKbjhE80ZD6qtmV0kDZGTFPy2As9w8bvf2oV82a2jMMRbVu+H5KePrcc7KgQYVqVAK3yMwNrkON4olFKIZLtRKbNwVn1UnlQmrQcejZFZVOLJ0ETvzI7uUH2idtI73/isKKR9Srrmthzj6Rt54MIhUk+NGt6JmhrlVSE9uM+Rs+fv1neuStN2o+5iJIa/U1LEJQ7gdSTMFS4bnkHZMQIsIMc+cfuwki20rTTfuSC8ctnVYAwrXJubYUAIYmZPsHyx1lz5+9QnkNqr6Np2vc4Vj5w3ZDHyD55G+kDThpRP1A3ENgdc5h2wQ/Kf9uMUAwjQ/JRN3QjMfHxMXFCU28qaGA6SBsjQaCYPb152PguO7TQWJk1m+aKGJNP+wL9t12N8l2MdDtB5o2WP1bH9gTjnAaZ823aTroEv2cZfqaX2A57UKK2NjcMIShvR33TTrtGy9WC8oyau5Gk9Q0XJKl8fBnFqeMuBJ6vEC070HnRjwnygxjxNCVl4U7w1kuGIbGKa1j1689Xuh5kHrmRye//OplgfJLlXcq5ff23/qIyltz9MHxhYZbW0XPTTyrjmYdvIDJpOpHOnSgte/qNB1EhWxM4u75Y/1mIgAdv/TwkZZGBf/+S0srniXTuROtRHyIv4usDda3R6CBtjARByMwpaQ7eo5N7niwv+82b1cZBu3XieVtXL6felAKJ1TaHtlO+hDQFk0/9HL1//T5eXxf2pBm0n/gpCmp8p+2VWr881LYTon1nMjXe/cFTFqk9jyT7+K2VsfR+x+OOwexLrTMMQUJlGbjtN3h9XcR3PoD0nkeTqeN8PDeQuIENVsf6C7BmC4919147pOelP9iL17MMo22ncbmBcjyIv2N/pnbOofjak0Q65yBbOnGwcZc+Pezn888/SGrPdw4J0uKz98VnbIPMmHRZ+9fv4Kx+FYDiK4/Rm+un7aTPkxvjv6XVhvo929Ug5Qece+wuvP+YXVBKYUqBqvEgYCQiFtjKQQElYhstCeF5AR42BGDaHbSfdilShIRKUlC1M2O1JcchhMCyjHHNkSn6BskDTiE2e19Ky58hNmtPZMt25GqsCXA1JAyHNVd/sZLDNXj/X1Buiei+76NUxQDHtgS2KqEQOEQbsvRJzdloU/LxPXcW1ufNGfPejROGBJ5CypDo1FnDftbunIO9/TzaT/hPii8vJrL9PGJz9h3zDT4GfiVA28BdsxSJDw0UpJVbnYXI0MeTkW1S/qRW6SBtrAXhGxkIgaqzLJFNS9k++cf/Sf8TtyCjKVrf+UGMth3fdqu/74dv2SRQPx+0qBFgeYPknrwLs3kK6dn7jFvbmpxnYbTOwerYGScICOp4yW8kVDE3JMkeIPfsPST3Ob5q+Xgp26e45E56n7gVGUvReuS5GOntcBpgk0atcpVF08L3UXztKTYs7RmpVuwpsyi5W3/OEEIQNzwMPBACX5kj7n0bhorwTcFiGCpk8zSS8w8j98ydAESmzSYx/3AyRYG53QLi2+9FoCQZZ+yDTCUkMp4eku8ro8ma3PhkGJK4LIGTR5g2gRHZogLVhiFIkGfd3X/C7+8qF7fe6cCG2dE+UhPzf62NiGVJSq8sZnB9YmxYzNFz7Tfo/Mj/4jC8WG+9M02JHFjKqj9cxoaLhvXoTXSc8RWy7vjcrZabFNdPkDsWRGR43Swz3UZYpSxPy5I4rz7KwF2/Lw8M9rLmmq/SeeH/4mxh9f7NiVoKGw9FOe/J0UueBEGIn5rKtPO/Q/aJWzGSbSR3O5RcMLrUiJTt0f+PH1Jc+jQgSO5xBKmFp5MbZeHqnGeRWHQWTYtOhTAkNGw8LOKGSyBsSi5s9XbdzSipCO3HfpSe678Dgb++G8lHKana2kQkBCRlkTW//zL+um4AEnMXkj7s3M2WJUlIhzW/+SJBth8AZ9UrNJXyRHY7ZotyUjesfjTKDLgO0rTNMpVL5vn73zKqKK14DnPG/g3zYdjAVg7r7v0jb07Y9fq6CAd7kInt9E6qbcTHIrXPsWQX3wSUe5q2HnUBTpXKEZjKJbPknqGDYbm2mTl9wajf50nLp/DEzaxdfBNCGjQvOo34nIUjnt1pRI5v4FkdRBZ+4E1Nybf++bYsSeH5+9cHaACK3JO3kZi7CKNp5qiT7MuvmYmUgpRwyN1/DU7Xi0R32J30PseT9Syq0VXL80F2zKbzIz8mLGSQ8TROaOHWWNqzbcLgQ3+rBGgA+efuJ7XgWGS8823PoWFxsBKgbZB78jYmzT8c521m0C0T4pQovPo4RjRBfLtdyAeRut9Qoc8O2maFwsSaNIPS8iVDxq227Sg2asCykTOs2kjejFY9Bd8kvs+JpPY8iiDTh9nWSamK7bGUMDHbpsGK54aMmy1T8Eb5PjdNib/6RQYfuL78t4D+265iyrTZm71oTRRhuPVNyd/KICS/4tlh487KF5AtswiCsZnpikuH3uu+VckTc3uW4w+sJnXkhVULvh1floOVKm4+MU2JUmqrAxwZ+nhrVwwb9/q6kMm3v9GV9vAZdCPZjHqbGXQhBNFgkK5fXYLyHKD8uZ181tfGbYfwWKm9hWyt5rg+NO13AlZbZ2UsMe9QRKqjIS8urojQtPCUIWNm82TM5ikN+f+tZQXfJEsTpeYdyXgR3KB6GyYcH5oPfB9Gqq0yFt9p/zF5n5tSUXjhgWHjxVcfwzRrt4VTvQowiM/Zb9h4bNYeY5o2IJU3LJG/8NKjmKI+N4zZhiJtFpHLHsLuf5mU7W1VyR9f2iTmHjR0UEii0+du9iYrkFESux78xoA0aT3yvPUz6BsXMRWZ+6+vBGhQrsvprnoJw6jvMEfPpGmbpRTkgigdp1+K8EtgWPhYW5XbEbHACF0CWbv5OL4fYrXPYuq53yL31G2YLVNJzD2IXFA7bWsmmm0RHCsFORVnyge+QVgYRFgRQjM24tY+GxMoSWT63GGFiSOdO+FOsFzDbcHzAlIzdie14FhyT9wKpkXLotMI422E/hi+l6SJMKxyceINQ7FkXZ4lDENgO710/fpz5Xw3IDJtDm0nXkJ2hJ8BzwtJ7biApkWnkduw2ezID+KKzfdnzfsm6UPfT3q/4/EHurGnvoOS2twMuiJ088NGQ6dAvZeV1EGatkWCQJENbMCGrViREAJSlkfuiX+RXfo0kem7kN7n+HHbMbk5Rd9ARqcQOegclFIMugE6QGt8QRCSCWyE3VFe8R6jXB/PC0jP2Y/YSw9X8qQSuy7CnLQDxVHsYNQ2LeuaRPd7H+n9TkAhcLEpjPGNoassmg85g4E7frN+RNB61IdwaiyR/+1EzRBbeAgV0nfX7ysBGoCz6iXCbC8i1okaYZJd1jWJ7HYMk+YfjlICV8bw/YCYFWDhoxCUiOBtZDNAzrMQ1iTklMmUtiC9wQsN0vu9l8JLiytjwo4Rm7kbg3VevkMHadpmCUOWP1CuTzRiIlU44rY9McNn4NYrKbz0CADOqpdxV79G83H/ST6szZyBscyR0bbMhqWJ8d7JWo2k76xr0vTuj9Gq1peEwJqwZQW2lZInqto+reRLYjsfzLTZC/D6VmF3TMclSr2cNqJmQPDSfXTd8RtaD38/YWkTs1HxrftMOJ56I9k/CEjbHutuu4r8iw9hxFO0HvUh5NS5OBvpbzqSnLggCAlSU5jyga+TfeRGZCxJev8TyddRsLwp+gyhvS1pSF5eleG7v3sMxwuIR00uPX9/prRECUaQwG2KYMhdDkDp9SUYNVCE0TQlJj5KGLi+qsoFWnt7hiFJGA7umlch8El2zhnX3o3VoBTkfYvxfr9rY6vom0Aao6OJUp3tJLRx6brtakBRePlRUrsfhrPq5cr3ZSyF1bE9RXf0/6+IBdlHbyK/PjczyA/S+9fv03nRj8ekxE3JNzASncSPuBAlJFmPEc/+1SIdpGlvKwD+5w+P46yvuF8o+Xzvmsf4xsULR1ytSkRiKKfwxteGNe5FGOOmj1q7lOzj/8RMtZM+4ETySvfB29aShsOa334Bf7AHABlPM+2D32Yw2HSy8JYSQhAxQqTyCGSkrvt/arWr3s4ZQkCQX8eGNI7S8iUkdt6fjhM+Tm7JPRjpdpoOOIl8EGEsUj2M0KX02hNvGVW4PcsxJs0dk+cvCBRBIGik1JT63vagVZ0fKAqloXP3PQPFET+OQ4TWwz8wZKz54NNx1fjNKliWQbj6BXquvZziK4+TfeJWVl/1GRKGs/lf1saMZRkUXnmsEqABhIUM2SduxbZHt/PRMCRps0jx3l8zcN3leE/cSDri130ysaaNllJgploR1htLgn23/AJvsJfmYz9GbOHZZMOxu2ENhYU9bc6wcatNl6B5O3omTXtbliGY3Bqnu/+NGbCdZrSMeBbN8SC2wwKmffiHuN2vYU+aSWAlKYxjux0rLLHukRuHjIXFLF7vcmTLHH3i2EaEgKCwbth4kFuHJUb3GsRlie4/fg2vrwso17EKcv3EDno/Jd3qSZvgCoHN5NO/TN/NP8Eb6Cax074k5h9O1jXGPO3DCQRNC9+Hu+YV3DVLQZq0HHwagRknSoAlfAgDAmlRDMZ2Q5kQom6XPnWQVudMU+KH5drctiHwx7gRuIHiKx/anyuufYJXVqxj3qx2/uOU3ZFKjbgeeNE3ESKNnLYXbhiixjm5VgmJjAzPhZD22LQA0raM5wWk5h7Euvv+AuGGN4UgteDdFEa5NCl8pxKgbZBbci9Ni86gNKSvrKZNPF4gUKnptJ92KVKCp0yynqxKXu6GUk5tJ30eqVyQBq6yEQQUH72BnsU3gQqJbLcL7e/9LzJj0IIvZvpYYQk/24/ZPJlSaFe11mI16CCtjglD0tVf5OqbnqPk+Lz34B3ZY04Hyh+7QC0IFHFL8Jmz9gYEAoVQaqvvcpQa/517G7jKpOXQsykuX1LZdm5PfQcyPYlQ5y1tM0pBScaZ9sFvse6+a1GBR9OBJ+NHWke8i3gYc33e45u6RZjJFvQkqaaV+X5IbhvdsIShIheu3zwTgJSCeKmXzCN/r/yMs/J58k/eir37cbijOA9HzQB3yW303PNHoJwDPfnMSwlT29dVK0MdpNUpIcDxFV/42QOVgOmKa5/kS+ftx+xpqTF9E5ZzEsp/441/1b8gUDiRNjov/F+Krz2JmW7HnDSTvK+L1m5rbiDxrXYSR1yIEFAKzTEJ5j1l0XTgiQzef115QEhaj76AUpX6f2qatuWklDhrXh02Xlr5Aund3sVoQhRbePTee23laxV49N38U9pOuxS/jmbRdZBWp0zT4P6nVw+b0br14eW848T543RU9ccNBC4xzFkH4Sq1vrCoDtDGQxgqSuGGPLGxCaCKvkF893eT2PVg/P7VWJNm4Gy2erk2loQQRMwQoUI8LP3caxVBEJCcPnfYeHz2PusDqVG8V3x3yAw6gD/Yi6yv1U69u7NehaFialti2Pi0joTeubYVfD+omWVYbWwVfJOcaMJp34WMH8MJxq5XZsSCpOmQMF1MU59O38o0BCkyFO6+iuw/r8DqeY6EWSeVXrWqUwp8K0nbMRcho0mQJsk9jiS284F4owzmlRnFSLcPGUvsciBenc1N1dfRahVBEDJrWpq5M1t5blk/AO3NUY5bOGvMNw9oWr1TauwLW6Zsn/xjNzHwzF0YyZZy9fTE1LpLTK6muCyx6lf/r1Ifsbj0aTpO/gzm5Pn4Y5g7q9Wvom9iz9yPKefvgUDgKpOMM/obnkIYYcqZX2Xg9qtwe1cQm72A9P4nknXr62ZKB2n1LAj59Fl7kym4OG5AR0sMQyn0qU/bUkKUCz/W6e70cWNbguKSOxl88K8ABLkB1vz+y3R+5Ee4Y1CAtxEYhsRd/cqQAtYA2cX/oOm4Ofj68qOt5/rgjnH7riBQ5GSS5DsvQiqfQEbI1GEJTP0pqWOqvFWSpqgBURPlBw0ZoBmGRAih77zHkJSChOmismtBGoh4C/kxrk3UyMzQYeC5+4YOBj5ez3Jk2876eaR8fpKx1LBxGUsRjnOnEW1iCENFMTQAg3q9OOogrQGUZ0Ea76IgpSBpurirXybID9I0aw9CX89SjIWU6dB9zaV4/asBsCfPpOOUL4xJbaKJIJQmVmsnbs/yIeNmuoOSnpYEyhdIo3kq9tQdcVeXd/AJK0LzwWeQDwwa8ZylaWNNB2lazUqaDj1/+hpe7woABkybzvO/g5TNeqZiFGzbIL/k7kqABuB2L8NZ9hTm9vvpGcst4AYGzYedRWnl8wS5AQCSexxJGEmNe5HmWpIPbNpP+ixB3wqC/Dqi28+loKKEvv78atqW0EGaVpOkFPhrV1QCNADlu/Tf/QcSh3/4TaUatJESgmFV+KE8Zs7USe9bIgwVeSPJlHO+RVjMIO0YvrTJ+3om8s3CUJENLWTzjshWwaCnd1Br2kjoK51Wk4QQBKXCsHFVKiD0Msmo+H5Ico8jh40ndl2Ep3cGb7EgUGQ8m5zZTiZMUNiCAM2yDBKmS8pyiJrhhCmXE4ZK10fTtK2gZ9K0mhQEIYnOnZDRBGEpXxlvOuA9OFhMlGrxtqGISq88WxNL4SgLZ5SNwYNAoVJT6DjxUww+cB1CGjQdfAae3YTSy1BVETEUMdPHH+yi71//h7eum8TOB9B08Jk6D1DTtE3SQZpWswqhzdQPfpvMQ38jyK8jteA4IlN3IJ+dGAGaaUrMgVdZ9edvoHwXpEnHCR/HnjYf1x/dFEzBNzGn7k7rSTuhBLjEJlQumhCCmOFhiqDcO5TYqItnboplSoz+lwkicdb84TKUV64DkHv6ToQVJbr/qZS8CTKlpmnaiOjlTq1m+QFkwwSRA88m8c6LcZp2wIgO77LQqGKUWPuP/y0HaAChz9qbf0pUuGPy+L4fkg9sCr49wQI0SFkOmVt/StePP0L3bz+H1fcSEaM6QVqUIv23X02QH6gEaBsUXnoEMxyb11PTtMajgzSt6qQpwTBQhhxx6xylwPEUJU/URNsm05QkDJek4WBb1Z39ECIkyPYPGVNuEYLG3T4otkGSVsRQDN53LcVXHgMUQbaf7j9/k4isTrBU3qixBiPRPOx7dsd0QjF2baomoqgZkrYc0maJuOlPmDw/bWLQy51aVUnL4NrbX+bWh18nFjE459i57D2nA1UDAddIRYwQc/B1+m+7irCUI7XXu0jteihZtzofo0AZRKfvQmnF85Uxq62T0LAaLiUvYflIL0+Qz2A2T6YQRPCD6uTHGcql9NpTQwdDH39dDyI5Y8zbR/nKIDZzHsWlT9N84Emse/BvoMJyK6l3nk8utNA1w7ZOwvIpPPYPeh/5O4QB8dn70HL0hWQcfWkTAt1JpAHod3KdEYYkUBAqhSkFIlRjflEZK6Zl8MCza7j5gWUAZAshP/rzU/zvpw4laRs1e9ybEqFE1zVfAVWOkAbu/B0ylsacuX9Vdq4VQ5u2E/6TgX//itLrzxKZ+g5aj/4w+TBKI0VpCcsne/fvyC+5CwAZiTPlnG+Qr1I9vFCY2FN3xM/0vmlUYKbbUVUIDIuBRdsxF7Hunj9itU4t1/qzIig7Ts41CKsUjDY6KQVku8k89LfKWOHlxURmzMPa6TC8CVruI2qERKSLn+3HTLVRCi2cQC+a1SsdpNURYRr85p/Pc+djKwGYN6uNT5+1F6pGyyYEoeLhZ9cMG3/m1bUsmj+1rso9mKak9PrzlQBtg/ySu0nP2KsqfQjDUJFVMZJHXkgTPiEGudAiDOv/4hM1Q2zhQRgg/j97bx4mV1Xn/7/OuffW1l3VW7qTdPaFhCwESAKEQCBgQFZBwEEQBFRcGL8ugwgzzE8dvy4zLl/QUZnRUUEQBUFBBkQUkEXCGkJCgASyk87SSS+1113O+f1RSSdNh5Clq6uq+7yeh+ehP6nuulX33nPe97NqTX7dbs+WKmTpfPQ24u//x50jXfqXgrJpeN8VeNs34u3YhLAcGhZdiSv6d3bgLrQutuqILrgMhwAhNYUtawlyKWrHzSRLhCq6FSoGy5IUNr7Rx15Yv5yaqSfhMfTiniFbQ9urvH3/zcW1Slq0fPBanOHT8So0SyJsQ1gUczV9bZELbOMB3AMj0qoEy5Ks25rqEWgAr67ZwVOvtHHyka34FbjKW1IwbXwjLzv/z4YAACAASURBVK9s72WfPLq+IvLLDgSlNOGGEX3szrBRaGmXbC6c1pqcv3P2XNFSmjcaQGK2T2HFY7Q/fTcEPpEx0xh+4ZfYfOfuyke/extS++z+3P2HUpqMqGHYxV9FKg8sG1c75A+xtcm+0BryniQUCtj6291TNIQTYeTHvkMg68wUjQPExiM87Xgio6egcik6/nYn3va3iUycTYDFYPI27y8R4dL2p//a/TCpArY/dAsjPvY9vH4eYN4fRG2fYM3ztD1+B7qQIzb1OBpO/4QJV++B8YFWCZYlWLWxq4/99bUde3l1ZeB7AacdO47pExoBkALOPmECzfWRqtuQlNKIRAuxKcf12KzEMOrmXUChQp9QKxEhwHJTdD1xZ08BRH7j66RXPE3t9BN6Xlc782Q8Wbo5rUGgSPshkqqGpBcuqUDbhWVJvK1re0/R8PJ0P30PoRJVlg5WoraP98YTbPyvz7H59v+Pjsdup/mcfyQ+50yiU44dsqFOVIAu9G4CrnIphK6870MIsP0MOx7+6c5j1mRXPktm6V9KXpRVTRi5WiX4vmLO1BZ+/XBv9/78WSMr2rkigoAvXTobX2mkEFgCdJV2Hs/4DonTrqbhlI+gvAIyWkdaRdAlXAB3VcMOlm7tUkrczev72Attb5GYewa5Da9Te8RCojNPIeVW8IV9EAgBKp/qY1f59M4pGmZj2l8cXWDbo7f1/Ox1bKbr2fupXzS0vTBK2IRGTMTdsqbHFh41laACt3rLkhQ2vNXHnlu7lPqZi3AxTZ7BiLSqQSlNQ22IT19wBHf86Q08X3HOiROYObGpIkOduyh6zHTxQtO6kvXke6I1ZDwbSCAc0B6UKqRiW4KYzFNY/ypYNrEx08gEkaoLE78TpRShERP72KMTj8YZfzTDRs3Ek5FBJ9CgKLRjY2cgQhG0m++xJ449l4KyGYrhuYNBSoHf3d7H7m5ZiwoChvK2llVhWi78Mh1/vZXCppVExkyj/tQrSAchKu1pPggU0RET+tjDY2YQyBCYghpgKF/NVYgOFPNnDOfYaSNAFLN1ggoWaAPNQJacl/J9hIAakaXt59eh8mkArHgTI6/4Nt1BqHRvPABoDb5dQ9NZ19D52G2oQo7Y1GOpOfp0knkJhAf14pxTEVqv+i7dz9xLkEuSOOZcdMMYgkHiKR0IlNI4DSNB2qB25xpEJ81G25FBff28F0ppkjpK7fuupg6fAJuUb1dkJb3WEIQSNJx8KZ278lPHziQ+50ySg/Ah7WAxIq3K8PfItTDyrEjYUkQsDz/ZgR1v2FlyXr0NQh3HIvnin3sEGkCQ2kH2rRdxJlX/EPScbxEafywjPn4kgmJFV6l6zVUaXgC+SBA96QrQioJ2jEA7CPLKYfg//As7HroFP7WDmqnHUXfs2eTWvkjd+CNIB2GCISrWqqnYKOvbRGYsYtTMk0Groqj0Ks/rV06GxspoGLQ4Nsjtq3n7nv8oPlULybBzPkt49NEUgurM8RFCo3N7yV3KpbCq8yP1wfXBrcBqs4FAa71zVufQrEDsDwqBxG6cRPNl38CWkH7tadp+eQMqn0ZG47R+7Lt0B6UrPDH0H3lfku+1FhiBtiemutNQ1USEy44Hf7w77KEVO/7805KN+BkIPE8Tn3sWiD1uT8umZvqJuG51e9EM741lCeKOS1x3kbAy1DheuQ+pIvF9jStjpF99is7Hbu/xPKtcitSyxwmFqtMHIQTUOB4JK0tCpKh1vGLjXsOQpDqvYoNhJwJFkOndmkS7+Z2irTo9NUppvHADI6/4NsnFfwDboW7+heSJlfvQDCVGCKi18my982t4HZsBqJk+n8QpV5H2TLVbXwTqHS0nAHQ+U7UzPGsdj65Hfkp21QsAhEZMoPmifyHpmvM/FDGeNENV42ubyNgZvWxO81iUqO4FLe9LspERxBZ9itjCj5GxGnCrNHxr2H9CNiSfe6BHoAFkXnsGndxqvCl7wfN8amedUiwi2IW0qJ19Oq5bfQ0MLUvib1vXI9CgWLWaWf44Icds10MR40kzVDV55dB07ufpevxX5De8Srh1Cg2LriKjwwxkboPjSMI6hwBcEaHgHfp7K6XJq10bs8nTGApI7eO29+0j521/GxkfW9Ym0EIIopaHjQ9ClHxKw/6gNeTtWlo//j2Si+8DFIl5H8SVcXQVZgZIKXC3ru1jd7espmamyV8cipRUpD3wwAPccssteJ7HlVdeyUc+8pFe/75ixQq+8pWv4HkeI0eO5Lvf/S6JRKKUh2QYZBTnW4aJLfwYCe0RCJu0sgd0M4vYAWLLa7Q/djvazZE45mxqZ55CeohULBr6D48QNTMWkF+3fLdRSCLjZpAqc4+8uOPS8eCPyK19BWGHqD/5UmJTTyTrl/c6d32BbzUQPflKADKBqNqh9b6vqJ08pziRYw9qZpyEryWm0GToUbLHoK1bt3LTTTdx5513cv/993PXXXfx1lu9uwt/85vf5HOf+xx//OMfmTBhAj//+c9LdTiGQYzWmrwvSQdhcr41oAJNCHD8NNvu/Q5+52aCTBedf/s13tsrsO3qbQNiKA++rwhNmE39gg8TGTuD4R+6gdGfvBksB6uMpb1hR5B66SFya18BQPsunY/eiuWlKyL3SylN3oO8R9WNnNsTrTV+uJ5h530BO9GMjCVoWPgR7JFTB83UEcOBUbJHoGeeeYZ58+ZRX18PwPvf/34efvhhPvvZz/a8RilFJpMBIJfLUVdXV6rDMbwLQoCwLBSglcaRg2cE0UBg2xa5N17uY8+ueIr4mCOxLJsgUOY7New3adcmetRZ1M44ga33/Afe9rexautpPv9aRGIMXhlSraRyi9Mv3oG7dR1y1Oyqn4RRSeR8C2fUbJovm9aTPpHuh/QJQ3VSMpG2bds2mpube35uaWlh2bJlvV5zww03cNVVV/Gtb32LaDTK3XfffUDv0dRU2y/H+m40N8dL+vcrga5Unl88sIKnlrbR3BDl/3zoKKaMrSdcweXrlXZesiPG9bGFho9HdG0g/8rj1Ew9jsToqVixwR3Kr7TzUs0E2SRb7v0B3va3iz+nu9h2z78z+pM3Yzc07vff6a9zogIfd8IsCm1v9rJHWicSaqzpl/cYSuzfeSl+r6bb28BRiWtYyXbivY2hEHv4xfP5PDfeeCO33XYbs2bN4pe//CXXX389P/3pT/f7PXbsSJfMtd3cHKe9vW9D0cGEZUvufXINj79U3Ag2b8/wlZ8u5r9vOBUR5Mp8dHunEs9LvH40sSnHkl31PADOsDHUHD6ftl9ejw480sseJzHvfMKzzyPvV0BsqARU4nmpZhIhj0Jb7/QQlc/gF3J07mVI+97o73OSOPoMClvXkntrCSIUoWHhZbgyRrc57weEuVcqk1KfFynFQTmWSibShg8fzosvvtjz87Zt22hpaen5edWqVYTDYWbNmgXAxRdfzA9+8INSHY5hL3iB5oUVW3vZ/EDRtj3DmKZYVed2DCRp3yFx2tU0vO8KdOBjhSJsvuMr6GB3E9LUiw8Rn3PmOzprGwx7J1CCcOvkXkJNRmoQdhjK1Ns25YVInH4NjacXqzsLOkRukD50GAyVQskKB+bPn8/ixYvp6Oggl8vxyCOPcNJJJ/X8+7hx49iyZQtr1qwB4NFHH+WII44o1eEY9oIlBeNH9g3BtTQYgXYgaA0ZzyEZ1JCiDqU0fte2ch+WoYrJ6zDDzv08TtMoAKzaBlouuoGc3n+RHxRyJByXuFOgNqxJOAUSVuagO9hrrcn6Nkk/QtILUzACzWAoOSX1pH3xi1/kox/9KJ7ncdFFFzFr1iyuvvpqPve5z3HEEUfw7W9/my984QtorWlqauJb3/pWqQ7HsBeE1lx17nTWtHWztSOLlIJLTp+KYwmo0hL2SsDHpmbmSWRefaLHlph3Hi6hMh6VoZoIAkXGqmPYxV9Fah8tbXI6jO/v332ZCPt0/OV2Usv/hnTC1J/0YfA9Oh6/vdjB/sIbSOkwe8lK6RccSxO1PFSmCyuWoKAd8r6pdjYYDhSh95Y8ViWYnLRDx7IkAVDwFSFbIgFdwZVa1XJe4iEfb8ubFNa9SvSwucjGMaS9yi3GOFSq5bwMBRxHwptP0PFI75ZGIy79KtvuuwmVTRI/+nQi8y/ZOei9f7FtSSTTxpbffK04ok1IGk+7CmvyfCPUqI57RQhKJuArlUrNSTNzJoY4QaAgUIQFiEBVtECrJlKujd8yg9Dxl1ConzSoBZqhsrC1R+6tl/rYC5tWEmoaXfz/tlVI5Zbk/cPk2f7gj4sCDUArOv56KyFRfWOahhox2ychUtS420iE3LL25jMUMTuHwVAifN/0RzP0H44tiIg8QgUoYZPTkb32JwuETXj0NHJrlvayh4ZPILnkEQAiE2cTyEhJ0hosQa/ZowCoAO0VYD8KZ4SAkCMRaFy/upvTVhM1jk/qyTvILP8bAFZNPSMu/yZpWWvOQRkxnjSDYYhjWZKoHRBxlBniXaGELI2z4022/PI6Nt1yDdt/9w1qSO31fLmepvbIU4mMm1k0CEni2HNQ+QxBuouaaScQn3tWv8yX3RseNjVTjulls+KN4Lx3xy/bEsStHO5zd5P728+JFbYSsapwCGeVIQSIfHePQAMIMl10PXEnITl4v3/bgrhTICHT+OlOnAqMxhtP2gBg2xJPgUYTtiSet38XvW1LhBD7/XqD4UAJ2wF2ZjPJv98D0qLuhA/hRZsolHlwtqE3EenSdu930H4xROm1b2DHgz+h7pwvklV9l/GkG2L4Bdfi53MgJYFwkNpn1DW34GmblFu63SjvS+oXfQzhhMmuXkJo2Bgaz/gUWRUG9i0Ma6w8bf/zJVS+OIkm/epTjLjiW1ixVgJTzFQypBQE3e197F5nG1J77I8HtNqwLEkkv4Wtv/sWQboLGY3TcuGXoUxTPd4NI9JKjSVZty3DbQ+9RsENOO+kScw9vAXtv7vwklKgpWT5ug6SGZe504bjCFAmX8zQj0gpCLndtN32L+zaPLNvvcSoq2/CFYkhlzhcyWg31yPQdlHYtApLBOxtGddaY8USdGQE9Cw1A+Mm0BpSnkN0wUeJL7gEhSSjQu859Ny2Jfn1K3oE2s6/RnLxH6hZ9GmCMgV+LEsipcD3g0F7TwSBJjR8AsJyevV3rJlxEr6MwiDce6IiT/sfvk+Q7gJA5VJs+/13GXHVd/EqSJSax+USIgTkvYCv/mwxq9/u5u1taX58zyusbuvGtt/9q9dS8q//vZjv3vES//2H5fzjdx4j4wYmFGV4VyxLUmu7JKwsCadAyN77biIERJ2AhFMgbhfwtq6j14RsFZBe/jccpzqf32xbVtR94jgWUTsg7BzaMYlQFOH03jjCow8n0BUYn6Eo1PK+JO2HyfrOfuU0aQ3C6dumRjghyjHFXQhBPOQR2rESVv2NuEgTtgefWNlFToUYcdnXCbcehpUYRt2CfyA6bQGuNzg/s0Thd/Vu5q6ySURQQW40jCetpNi2xYuvburz9PXX5zdw2Pl7b9xrWZI3N3WzqT3dY3N9xV1/WcXHz5kOyoQ+Db2RUlBDmm2/+zZe+0ZkOEbT2dcQHj6dQtD7YSAe8ul6/FdkVjyNsGzq5p1P0+kfY8ef/6fnNVZNw17HulUSti2xLInvK4JA4ViamCyQX7+CUG0D1rAxpL1QWT9HbcjHW/8SqVefxGkeS92x55AOIgcVtsurEC0XXs/2B35AkOkmNHw8TWd9hrRyeK8QYrUQBIqa1inYdS343cVm0MJyqJt/EZlAMtCfs8Z26fjjTeQ3vFY0/FUy4iP/RpAYNygLgtxAoGpGUX/+l5Fa4ckIKXdwXFt7QyFxmsfitW/osVmJYWjLgQo6vUaklRClNKOa+/ZFGd0Sf9cHQyEgm++r5LMFv+I3zmpGWhK1szmQJSCookU4Ij06Hv4pXvtGAFQhS/t9NzPqMz+mEOz2vjiOJLfqOTKvPgmA9l26nr6bERffiBVvJEh1YCWGEZt6HN1u5T4MxEMe3uY3KaxfUexB1zQGkU+y6dYbekKC4dbDaPrgl0l5TlmOMexAfvljdD5xJwC5ta+QffNFWi79N1LBgTc1dgOBbpzI8Cu/g1AKJSwyOjzoqu4yQYThl3+D/NpXULkUsanzyIsoaj+b+B4qti0J6QIIEEF+t0AD0IrOx35F/flfxqc811Wp8X21+7MN8hzAnI7QcsF1tP/he7jb1uM0jaL5/Gv3K3dyIDEirYQEgWJiax0zJzXx6uodAAxvjHHW/PH471IM4PuKmRObqInYZPYQaxcsnEzlBHEGF9Kx+c1fVvLoCxuojYb4xHkzmTG+oWp6xkkCCm1v9jYqH5VLgb1bpFn4ZNa83Of33fYNNJ/3RYJcitDIw0gHYSrqUXIPYrZP9+O/IrPiKQCSLz5I/YKLsWKJXjlbhbY3Ud1bkbVjyiJkHF2gc8nDvWx+52YoZEAe3OQJz+cduTKVs5H0F0GgSAYh7HHzEAKSA1g0FbEDxI636Hr6bgAaTvwQdcd/kO7Ff+h5jXLzCF2Z94bhwNg11aPpohuRQmE5DinXqbgHdCPSSk2guPaS2aRzHq6naEyEkVqzr6XHQnHTF0/mD0+spjtd4LwFk2ip33tPJMOhYTuSx19+mz8/ux6ArnSB7/36Jf7r+lMJy+rouh1gExkzjeybL/bYhB3CisXB7f268Lgjer0OIDR6Gm58DCquybuKShVoADZej0DbRfez9zHy0q/2eW2QTyPigvKIGYEMxwhSHb2tdmWFUioVfx+FVaVASoGd62DzXd/osW2565uM+MjXSC//G0G6E4DEsefiDtJE+qFIECjSO8f1NdfH8bOVNwnCFA6UGK012g+ocSSNNTbaD95TbAWBxkFzyfsO41MfmMmI+nDVeHWqDS/QPLdiSx/7G+s7sazquD0Kyqbh9E8QHjUFKDahbLnoenJB75CM5yli004gNuW4okHa1B1/AcSb8bz3vi4rFq2R0d5pBTJSQ3jEhLJ9pjwRGt53Jezh/45NnUdgVU7VmGE3jmORXvZoH3t25fM0nno5scPm0nLR9TgTZuMN0kR6Q2ViPGkDyIF4ZbTmXUOihv7DlpIpY+t5bW1vj8e4EYmq6cuklCZNlIbzrsMiQAtJXofx9pLHk3Jt4ouupmHRVSAErnbIeNUhRgF8HGJT55Fd+SwiFMWuG0Zs6jy0U0PLRTeQeulPWLUN1J3wITJBhHKFBH1fYTVOYNSnf0hu3XKcptHI+pFk/OrNZXJ2dvocjH0bldLYDSP72O3GVuSEY6kZfRQeNr4RaIMCKQUxq4AMXJA2XgXnGBqRZhjSBH7AeQsmsXz1Dla/3Y0U8IGTJlFf41SV91IpTUY50LPY7F2caA1Z36Zab/1cYNNw2ieoO/68YqPnHW2ER07GDTRey3TiZx6GFpKUL9FlTqovBBauiGNNXEBeKVSJOvyXGssS1Fp5sm++iA586qYeR0ZFGOCIZEnxvIC6w+eTXvJwz0grp7GV6JTjSOZ8ikGn6lkPSknY1tjaJRAOhcCquoI2IaDWyrPt7m8WKzt3TuSInnBBuQ9tr1TnSm0w9CNCKW684hi8QGNbAglVJdCGElqDqyT+xpV0Pnprj73pzE9jTZhHzt/VN6wyNg6tBz6/qr+ptfK0/eI6VDYJQNdTd9H68e+TEtGqyNncX1J+iJZLv07QvRWEQCZaSPshKuVaKjdCQNzxSD53H91rlhIaMYn6hZeSUdGqiToAhG1IPvuH3a03tCL53B9JzFqIkI0Vd01XT5zDYCgRSmkIFA4aESgj0CqckPDo2tnaYhcdj/2KsCgc1N+zLEnCcan1t5MQKWrsympmWU4cxyLz+uIegQagC1lSS/7cE/4cLCilSboO2dgYstHRpNz9a8I7VIhYAV1//QWpFx7E27GJzIon2XbXN4ke5H1XLqTycDev7mN3t7+NlJUniYwnzWAwVBda9RmRpAs5DsbjIQTUigybf/WvBKlim5ya6fNJnHIV6TL1WKskhADl5fvYtZsvxxCAAaHawncDhSN8Miuf62Xztm9EKg84uLYy5cCXIaKHHfOOtkWCcOtkchWYc1h5stFgqDCEAMuWaCkGnfegGgmwiYyd2csWnTwbXx/4M2fY1nT9/Z4egQaQee0ZyOyoqPFS5cJ1A2pmnISw99iEpUV87pm4buVtaIbSoTVYtfW9jdIGq7p8Pa6nqZl1KrVHLQLLxoo30nLhdVjRRLkPba9U17drGNQIIbAsQRDoinmatSyJp+HOR1axYUuKBUe1cuKRrahBWOFWLeRUiGHnfZ7kc3+ksPE1wuNnkZh7Fkn3wEckSeXj7Xi7j93r2IIY1XrAf28wkiNK6ye+T/L5B9BBUOwVZiXQVZSHZDh08kRoOuNTbLvnP2BnQ9+Gky/BPYiHo3KTLNhE519K3Qn/UJwzSwQZjgKV1yet+r5dw+DEknRnPVau72TquAYSMaciGkYGQnDjLX9na0cWgJUbOunOuJx7/PiqTwivVpTSdBccwsdcSHTOuQQyTHdBczCCypNhamacTOHtlbuN0iI8eiqFCus8Xi68QOCLBOH5l4HWpH2MQBuCeL5GDpvMqM/8GG/HJpyGEXgyskexTnWR9yX5njBt5d7rRqQZyo60JY8t2cSvHnq9x3bl2dNYePQoVJk3ymze7xFou3jkufWcMW9cxY7pklIQkR62VAQK8npwTqsoeAChQ5ox6HmK+GHHUp9Lklr6V6xYnMZFV1HANJ3dE601hUE8bNuwfxQCiwJRZMNh5JSuZG0zaDAizVB2Ag2/fWRlL9tvHlnFgqNGl10IhZy+aZt1teGKjYJJKai1cnQ89F/k1i0j1DKOYef+H3JOE77xfuyVlGsTPuIMWmaegtaCgojgV4EXzbIEEeEWGxgjyRHGH6BB5Iahjal6HThM4YCh7GjAfcem6PoBlaCEHClYdMyYnp+lFHzyvJk4FZpUHpEeOx78Mbm1S0Er3K1r2frbrxOV1VUmP9AUPEj7YTJBqCoEmpSCGjJ0/OHf2fSTT7PtjhsJp97G1LX0P1IKwiGLUMh8uYaBx3jSDGXHAo6dPoLnX9s9Q/O46SPK7kWDYlPbS0+fylnzJ7B5R4YpYxqwpa7YfDRbKvLrlveyBeku8PNUU5m8Yd9EpMuOB37U0+/JT7az7e5vMvITN+MF5jz3FxErwC50kF78MDLeSN2Ri0irSFU0b43aAY4o9vxztUPeNz6ZasSItApHWpIAQaAUthRIrQefq1kprrlwFlPG1bPsze0ceVgz75s7Bu37FeBLAwJFQ8yhqbaBIFDoytRnQLHWwhk2Gm/77opFYYcQdhi8Mh6YoV+xpSa/8fVeNlXIoj0jxvsLy5JYqY1svuMr7PLqp5f+hRFXfodkhQvheMgn+dRvyL71EonZ7yc26WjCtY2k/PDg2z8GOUakVTKW5MVV7fzs/lcpuAGTRtXxL1cegxSDq+Gi1qA9n9PnjObUo0djS/C9yur6rrWuiqfnAhGGfeDzbP3N11G5FMIOMeycz1JQlb2pGA6MQAnCrZMotL3VYxNOBOEYMd5fhIRH9zP3smfaRZDuwt2yBqt5esUW49i2xN34KrnVLzHiQ9fTtfg+ki/8L6HhE2g689NkrHjZ1jIhiuK3ktosVTrG/1nBBAp+fM8rFNyi62b1pm5+9afXEVYlBAL7H99XoFRV5ARVKr6vyIebGfmx79P6yR/S+qn/RLfOpBAMzmvm3bBtWRGNh0O2JhFyiZMk4bg4Vv9sTHkdpuncz2HXDwdARmppvuBa8kaM9y97GRMkpEUl5Mu+G5YF+dVLqDvuA3Q+8VuyK59D5TPk17/K1t98nViZ8lOjdkCt6kauXUyNu5UaxzxN7A/Gk1ahSClo25HtM+z1jXWd+IE26vogkFKAlCilCdkC163guOUh4AfsDMeEhpxXxbIkNVaewoYVqEKWuklzyOoI5eg97NgCu2MNbb//TnGMUjjG8A/9Mzox9pCrMINAkbXqaPnI/0UEHlg2ORXCG2JivJS42qb+xIvJrV7a07zVrh+O0zKeXD+0IxGimPPmiGJaR54InnfofzcIBJGJR+Mkmuh49Fe9/s3v3ga+y0CHxEM2BOteZNtDt/TYEvPOJzL7XPJV2mdtoDAirUJRSjOiKYaUolcOwZGTh2FbAmVK7Q8IaUlynmLF2m1MGl1Pe2eOscPjhG2xz4HqUgq0EGgEoLGojrDnUKXGyrP19hvxu9sB6HRup/Xj38MX8QEPr0REni3334R2i7MvdSFL+/03Mfzyb5Pqhz5sQaBJ7RLjxvnc7wSBxos2M+qTPyC94kms2gZik48hHYToD09aPOTT9eitZF5/ptif77SPY42cQT44NNHi+wHRsUegu9qw64fjd23t+bdifqoz4A9vYVFgy2O397Iln/sjo+acQR4j0vaFcchUMJaA6y+fS6Km+NRz9JRmLjl96j5FhWHvKAS//ctK4rEQr6/rIO/63PXXlSxesQVp7yWkIUBYEl8IOjMuf3xqNd+54yUynsIapOHmase2JYUNK3oEGoD28nQ/ex+hMsxKFypA5XqPmQlSHQijqKqGQiBJEcc+6jyYtIBu1+mXh7SwA+mX/kTmtadBK4JMN+333USIvsPsD4aUa6MbxtJ87mcRTqRolBaNZ3ySgh74m0EAys31NupiessuLEsQcTQRpzgi0FDEeNIqGB0oDh9Tx01fOAkoXuhCKUxxzoFhWZLXN3Zy7oKJpLMeT7z0Np2pPAtnj6GlIUagRZ92H8K2+dE9S3nx9W04tuSDJ0/mxKNG8bWfPcu/X3MClZyTMlQRQvTdCACdzyLKkKSshI3T2IrX0dZjCw2fgDKeg6pCa3Dd/i1kspRLcs2Sd74T7ta1WMNn9UtRQqYATu1oWj/1Q1QuiYzEKWibQhlacXg41M5YQHr57axdowAAIABJREFU33ps4dGHE4iiYIzYAXamneSz9yHCERLHX0DeipvwPcaTVvEEvkIExf8IlCmfPgi01sRrQiRqQnzjl8+zckMn2zpz3P3oKtZvSWG94y6wHYu/vrCBF1/fBoDnK+5+dBVjhscpeEGfxruGysDzAmKTZiNCkT2sgsS8D+CWYbHP6QgtH/pnwqOmgJBExkyj+YIvkdOVMXJKVmhD5qGAkiHCrYf1sTvDxqBU/60vXiBIuiHS1jCSXphCmfK/8r6kbuFlNLzvCiJjZ1A3/0KGnX8tORVCSoGd3c7m2/6ZzMpnSS/7G5t//iVion+8itWO8aQZBj1KacY017Js9Q78dzyhPvvqZhbOHtXLk+YrzbK3tvf5O2s2dTNuRIKQbUEwOIsOqp2sitD6se+RfO5+VD5L4rgP4MeGlSWHMwgUGStBw3nXYUmNryRp5ezXg5ZtW1iWwPeDfs+BDFuKsHTxO7dg1zXjiTA532wFA0nBh8TxF1FoexN3y1qQNvUnXkRg16Arq/tQv6A1JAs2zuHvIzF1AYFwSLoa0ERCkHz+AfaMTmjfJbPqeZypp+KVo+qngjB3ZhlwHAs3UAghsKBi++0MJpQf0Npc08feOqwGRwr2HCBgCzhqSnMfoTZ5dB2jW2qRqCGTVSSlwLEFmuIw8kpvbeQF4Is44RMuQ2hNNihvkU0QaDLsmQO072MRAuKOT2H9yxTaVhI7fD6ivpWM1z9LtWNLrB1vsel33wZVvOgbF11FZMoC05F+ANEa0kGYpgv+Gak9kDautslWSKWjbUscEeBj4Xn96NnzFB42vQSZFshIbZ/XWtFagkpfcAYAI9IGGGFJXt/Yxb2PvYXjSC4/cxotdRFTDFBilNLU14Q58chRPP3KJgDq42E+csbhBO8IX/q+4tQ5Y3jr7S4WL99MyLG45PSpjGquRSiNGiLnKmwFhLxukov/FxmuIT73TLK6puIHtWutKbg9P5X8/UK2ICwKCIptGw5F7MRsj46HfkxuzVIAUi89TOOiqwhPPZlCP1TkRcix9aGf9Ag0gI7Hb2fU1Hnk+6Hi1LD/KKVJq53VuRXkLIqHfAqrXyL91guEx84gMX0BKdcpWXW062sSx51LesWT6EIWALuumfC4WSTdobHW7guhq7jt744d6ZLlaDU3x2lvT733Cw8Ay5Js6sjyL7c802OTUvDj604hIql4L0UpcBwLKQW+r/bLo3io50VYFnkvIJv3aUiEsbTaazhJCIo91Yo/YTF0xBnsHODtttP2yy/39IgS4RijPnET3V7fzbwU90s1ELV91MZldDx6K6qQJT7rVBIn/gPJwsE9/yasLJtuuaaXTUbjjPjY90l5B9bbam/nJOG4bPrJp3vO6S5GffpHJFVfb4ah/6nkeyViK/KLf0vq5Ud6bNGJR5E44x/J+qWrCrVtqBEFcmtfQYQihEdPIxOEBzTKVOrzIqWgqenA7zHj3x4gHMciFLZ5amlbL7tSmsXLN1dEd/SBRAgQjsXzK9v5xUNvsHZrGmGX/jvQQUBYQmONDfvI99G6WF1bLNoIhpRAAwhZmu7n7uu1metCluzqJUPuWn03hADbz7D9gR+iskkIfFIvP0Lu9Wdw9tLW5eDpv6c3X0tih83tZXOaRqGkmVRggJDwSb3yWC9bbs1SbEqbKOf70O2FUePnEbQeRdJ1TBrQTky4s8RIKdCWxTOvbaFtW5qFc0ZTE3W457E3e14zvCE25Ko2tZT8512v8PKqYgXloy9s4PIzD2fRnDEEful9/0PRa3lgCITdd+OWtmPyRHZiWZLC2tf72LNvPk9iyvyduTcHRiAdIhNmkV+7rMdWN/9C3H7qEJ8LHBpOvxqrtoHcmqWER0yi/tTLyegIg7UjbsjWRKSHdnOIUJS8cnB9U9m6dzTCttF7thwRcmdoofSYkYB9MSKtxCgp+dpPF7Nha9GNev9Ta7jusjlMG9/I6+s6GD8ywfSJjfhDrIIlULpHoO3i3sff4pTZY8p0RIY9KfjFsS2ZFU+j/WKClxVvJDJ+Ft0mTwQoesEjwyf0sYdHTUGJg1tas75D09mfo7BuKYW33yA2/UREw2gy/dQhXmtNynOIHP9hao67ACVsUoGN1oPznDoW2J1rabvnO2gvjwhFaLnoBnT9eLxBWEV5qBQIU7/gw3Q+eisiFMGqaSB62Fy8MjTANRQxIq2ECCHY0Z3vEWi7uO+J1Xz+4qPI5HxaGqKIQA3B1qh9n8xMl+nKQWtN3orTevXNZN94BhGOEZs8l3QQxjTyLaKURtc0Ej/mHFIvPgRaEW6dTHz2mXS77/37e0NrSLo2zrjjCE+YR8FXBP1YXbfrPfKegJ5CgcF7PiOywJb7b0Z7O0dzuXm2338zw6/4D7wyFkoIIQjbCqEDPML4AxA92B8KHsSmnsjow+ag3Txedzuh4ePJa7M2lwsj0krM3pY/rSEWtqkNWSg/GMRL5LtjSThuxgieW7Glx/bhRVOwBSXOfjDsL14g8IgRmvF+tIZuN2Awb+gHQ8ZziB7zQRLHngMqQMkQKf/QZzsO9d5Q/YVQqpgvuAdBpguhy/f9ahUQFym6n/wdfqqD+OwzCI+c2m9tVg4VhSC94mm6nrqraBCSlouux2mehmfCkQNOZVwVgxStNcPqIoxqrmVTe7rH/uHTpuBI0a/9Z6oNoRSfueAITp49ijfWdXL8zBGMaIxVzBOlYTeua87Jvsj5Frldo54CMEK2N0IIaiwXqV0QEh+H7AA1z1XCwmkeg9e+sccWahl30OHo/iDIdLP51utR+QwA+XXLaT7vizijZ1eEOA8Jj/anf7fboBU7Hv5vhl/+73j9lBtp2H+MSCsxQim+8anj+fvyNjZty7Do2LE01oYq4mYsJ1qD9gJmjmvgyIlNeN7Qq6A0GIYC8ZDHjvtuIr/xNQBih8+nftFVpNzS5znldISWC29gx4M/Ir9pFZHRU2k6+x/LVihhWYLC1nU9Am0XyRcfpL51Oh4VkPsV+H1atASZbsR+FixLKdBam+KsfsKItBKjlAYVcPKsVqQURoy8A99XpqLHYBikOI5F9vUnegQaQPaNZ6iddQpW09SSt1kIAkVa1lJ37j/RJDS+FqRVqF/nYx4IWoMV6Tv5xIom0PurgkqMkiGcYWPwtu/2PtZMPwFP71su2DbEpIu/YxMyloBIgrRXAaKzyjEibYAY6p4zg8Ew9LCEIrtpZR+72/YmVsvhAzICVylNVu3/aK5SH4vdMILwqKkUdn4vwg5Rv/BSMqr3uKRykdNhWi6+ke6n7sLdsobIpDnE555Fyn13ESmlIOp30XbbP/dMDYhNOY660z5hhNohYkSawWAwGEqCrwSxaSeQef2ZXvbo5Dlkh6gH3a6po+mDXyLo2ESQ6iA8djo5FUZVyLi1INCkVIToiR+lRnsEMkyysO9jC0ufrkdv7xFoANlVz1G34EMIe5gJfR4CleFfNRgMBsOgw/cVdutU6k78ECIURUbjNL7/k6hY05Br4L0nKdchn5hAMGYuSS+CF1RWiwutIe8LskGIgvfe50noAD+5vY89SHea1kqHiPGkGQwGg6FkpF2b8KyzGHnkaUCxYWp2Pzb+wY5SetAIVU9GqJ11Kh1/+UWPTYQihIaNJWfO9SFhRJphrwghkFKY+WkGg+GQKfiCQk/7BrNpDzY8T1E7dT6NWpN65VHseBMNp36UrCpfw+DBghFp/YwQYO8cQO17Cl1lwXghAGmxI5lnW2eWKWMbsAX9UpEqhEBaAgVYmDltBoPBMFhIuzbO1FNoOmweSlhklFMxeXbVjBFp/Yi0BIUA7nn0LXxf8YGTJhILWegq8kZpKfnZH5ezeHlxEoBtSb59zQm0JMKH5FWTliTnK+5+ZCXJjMt5J01kTHNtVX03BoPBMNgJ25qwcAGNr21ygb3fif+ep/YYt2UEWn9gRFo/4mnB5/7f4xR2dmh/9MUN/PCfFhK1ZdV41LKFoEegAfiB4ucPvMqXPzLnkP5ugOCfbn6SXKE49OmlN7bxb1fPY8LwWuNRMxgMhgogavv4q5+j7fHb0W6B2GFzaDjj0yQLRiqUC1Pd2U+EQhZPvvx2j0AD8APN//59Lc7O8GelIwRk814fe3faPegEV9uWWI7NijU7egTaLu5/cg3GG24wGAzlRwiw/Qwdf/4Z2s0DmuybL5Je8jAh0+qsbBiR1k9oDY7dV4yFHYtqcftqDcPqo9THeyd7njFvHCH7wC8VaQm2dOX56f3L2VsVdjzmIE15tsFgMJQdKSXuljV97Pl1y7BV34d3w8BgRFo/4XkBJx7ZSqJm9wDaaNjmzPnjq2ragKUV3/nsiZwyZzSHj2/gmgtncfJRo/AP4jP4WvAvt/ydvy/bTH08wrgR8Z5/i4QsLj5tKrpM41kMBoOhGrEsSdxxietOEnaOmO2/9y/tB0opQsMn9LGHx84gkGawerkwgeZ+xNKam794Ms++uhk/0MyfNRIbqqrCJQg0jhBcceY0AqVwLHlQAs2yJCs3dOLv/Ow/uGsJX/jwbLpSefxAc8SkJmwwLT4MBkNVIARl75wvhKCGNFtv/yp+sh2A+Oz3U3P8RWQOcfyS1hA4tTSc+lG6nvwt2neJjp9FfM5ZJN1D++COI7G1RyAcXM+s+QeCEWn9yC7BseCIkUDRu1aNl6PWGu0HCMBXB+cFVEozvHH3IOHtXXn+9b+e4cJTJvPBkybhFjyqx79oMBiGAhFbERIeqIBAOORUiLD0cXAJMl3Y8SayQYhyBUfCdkDXE7/tEWgAqSV/Jn70+xF24yGLyKxvEzl8Ia3TTgCt8LFJeSEONmVHCIiHfLIrniS1dimR8bNIzFxIyt2/itGe86EVATY5FRo0DYD3FyPSSkA1hTdLhdaa+niIE48cxdOvbAKgIR5m4ezR+MZ7ZjAYKoyoHeC/+XfaHr8D7buEWw+j5cLrSL/2DNsevQ3QCDvE8Eu+io6PKUtVulQeXvvGPnaveyuyuYmgH6I2eV+SZ8+85IP/m1HLp/OR/yG78lkAcmuXUdi0iviiT5L19y0/YraP+8YTbH/yLrTvEhk7k6YPfJ6kO7SqGExOmqFkOEJwwSmT+fY1J/CVjx/HtR+Zww/uWsqm7RmkNAUDBoOhcnCCLB1/+QXadwEotL2JyqfpfPx2dgkV7bvseOgnhMmX5Rh9GaFm2vzeRmkRapnQLwKtv7GFT3blc71s2VUvYLPvPDohwPLSdD52e8/5yG94ldQLDxAeWhrNeNIMpUMD9z72Js+/tgXHlmTzxRtz2VvbGTd/HK5rPI77IhSyQEDgq4pcgA2GwYKUAm/7pj527ebhHSkfXudWrDI9Y7qeJjHzFIJcivSyx7Fq62k6/WoKulLHLwmE7fQILQBh2ey13H8PipWm6/rYCxtfJzLbA4aOUjMizVAyBDD78Bb+vqwNb4/QwJGHDTMNbPeBlAJtSR57eRPrNqdYdMwYRjbGyjqdwbIkliUJAmWKPQyDDqU0TvMYiquWRoZjyGgcpI0VbyJI7eh5bc3U4/B0+XpfJl2byNwLqJ1zNgpBgUjFrqeuDlF/wkV0PnFnj63uhAtx9b5FVrHSdGIfe2T8LJR0GEoJzUakGUqG5wXMmdrCKXPG8MSSjUgpOe+kiYxsiqEqdFGpBJSUfO1nz7JhSwqAx17cyBc+fDSzDxt2UJW2h0qt4xFsW0t+/TKik+YgG8eQ9szSYRhcuEQYdv4XEYGLVduIyiaxahKMuPwbdPzpv3Hb1xOdPIe6Ey8m5ZW3QXneY4+8scpdS/O+IDbjVEZOOprC2ysJj5qCijaS9fedaaU1+HaMpjM/Rcdjt6MLOWKHzaF2zpkkCwN08BWC0NUyr2gv7NiRLlmlR3NznPb2VEn+9lBDWHLnMiKQQqMPQaAd6nnZNeQ9UOBYouKKPISAZCHg8//viV720S21/Nsn5iEGuK9c1A7ILv4t6Zf/0mOrO/4CQkefS97fHbIw90vlELIFYVHAtiU5T5J/jw3RsJt4yCf55B2kl/0NAGGHGHHZ/4V4C/guvghRCMQhVVEOxXtFCNHjiT8QyRG2ISyKqszX1gHNET1QSn1epBQ0NdUe+O+V4FgMhl7oQCEChQiCQxJoh4plSzwNv3p4JTfdtZRlazsQe5kSUU60Li5o70RKUYzEDDCO8EkvfbSXLfn8A4SE+y6/YXg3pBREQoJQqHTLbsQOEG8vYcsvv8SGH32a/OLfkAj3T7PToYDwcj0CDYqFAh1/+Tkq8EgHYfL+oQm0oYrWGt8PDniGdcGHpBcm6YXJ+qUTaJWMiVkYhgwBgmt/+ASpbHHEyfLV2/n8xUcxd8owvAppsCiEIOxYnDV/PO2dOZav3k7eDbhg4WRsKQgG2vGndZ8OnlXsfC8bETvAzrSTeukhZG0jdXPOIK2i/VoQIgQ4foa2P/6gx5Z6+S/YjaNwDj+1Yq7xSkUIUIVsH3uQ6kRWyWg/w+DDiDTDkEBKwfqtqR6Btov//ftaZk1qKoeTaq9ICY6QtDbXUlcb5vKzpuH7ivWbk2Vp4uhjUzP9BDKvPd1jix99Gu4Qqq46VCxLIrvWs/nOr/bY0sseY+THvkcy6L9xO5YlKax/o4899+bzJKaciGeW+32iNcjaBmQsgcome+w1sxbiiQjVMoPZMLgwd61hSKA11Eb7boiJWAgpBLpCFuBASK79wZN0pop5GPc+9ibf/MwJTJvYhNADf5RZ36bu1CuJTp5Dfu1SopOPwRl1OCnXZErsLyHhkVz8+142lU3ibn4Lq2Vmv1XLBoEm0jK+7/u3TtlZEVcZ13glkwnCjPzot+h8/A78zs3UzDiJ6IyTSR3iWCSD4WAxIs0wJNBa05AIM3NSE6+uLpbTO7bkirOnI9EVUdFt2xYvrGrvEWgArq945Ln1XHHW4bj58uQWpVwbe/RcIuPm4geavNt/YTMhBGFLIbWPJ8K9WrUMJoTd1/Mo7IMft7M3tNboWAOJY84l+eKDoBXhkZNIzD2bbiMy9osg0KRlnJr3XY3UAb4MG4FmKCtGpBmGDCIIuPaS2bTtyLCjK8/0CY3YonKGvIt3ORbfV6gye0F8P8DvZ41oWYIaMnQ9eRd+Rxs1M08mPmUeKXdwLUsFZVO34GKyq5eCKn6JdsNInOZx5PpZAGQ8h+gx5xM/9mwkCl87pPz+FYODHaU0eWUBlvE+GsrO4FoNDYZ9oDXgB4xqiDKmKVYUP+U+qD3wvIC5hw+nJmKT2ek1k1LwwYWTURUiJPuTGqvAlltvJEh3AsUxPPX5DOEj3k/Be49friKU0njhYYz65M1kXl+MFW8gMv5I0iUSTznfIodFc3OcrvZUSd7DYDAMDEakGYYcSumyJOHvDxLFzf+0kD8tXkcm53HuiROpDcuye9L6GyFAZbp6BNou0kv/SvPMhRSo1DE3B0chELiiFueIM1AKkm6AEU8Gw3sjRDEVRKmhOR7PiDSDoYJQgcYWmgsWTADA88of6iwFWoMMRfvYrdo6lD64WlspBWErQCoPX4YrzhunNWZercFwAETsAMdLkXv9ZcLDx2E1jiHtO0OqX5oRaQZDhTFUNvPAiu5s7/H3okHaNCy6ioKIcKCjbor5bWk6/3o7XvsGolOOJXHMOaTcodkA02CodhxHQturtP3hez222JRjSSz6JBl/6EiXofNJDQZDvyMsgRaStvY0jm0h9f57/jK+TeKUK0kc+wG87m2ER04mr8MHNSw6JvNsvf1r+Ml2ALxn70Pl00RPuJS8Z9qFGAz7ixDF0WJC+/g4ZRveHtY52h+/vZctu+p5Gt53JUNJugydT2owGPoVaUneakvyvV+/RN4NSNSE+NrV8xhWG9rvhT3tOYjwCOSIkRQOZTPwCj0CbReZFU+TOOFDewyiNgw1HFsSJocQ4FJ5IfBKw7IktTJL9/MP4HdspvbI9xEeOZWMN/BSQQDay/f9BzW0xpyZR0yDwXBQBAi+f+cS8jtDs8mMy/d/vYQDnT6ktT7kNijSCfHO4aZ2oumg89sM1U/E8rHaXmbbHTey5efX4r3yILWhobXBHyg1VoHNt/8rqRceJLd6Ce2//y7u6ueLoccBxhUREnPP7mVzmsei7b65rIMZ40kzGPaBZQkCRDEGoDUWekhWGO0Nzw/IFXpvepva08XvaoBxtUPd/AvofubeosGyaTrzUxSIQgW0KhYCwjZI5RLIkPHolJjiHNM0bffd1GPrfvp3OA0jccYeg+cd2jURsRUh4YEKCIRDToUqtmJ8fxECVGo7QXJ7L3vqhQdpmjAHb4A90gVPU3vEqTQ3jCCz4klCwydSe9RpQ67vnxFpBsO7YFmSfKC56bcvsXJ9J1PGNvCFi48mFrHRgRqUvcsOBMeWNCYidCR3hySmT2hElGEBzfkWsaPOpPaIhfjd7ThNo8jpEL5ffoEmpSBuF+h+5l4Km1YRmXAkiWPOJuWWt0rNcSQWPgH2oBu+btsWuZVL+9gzrz9N7Zij8A4hiBSzfQrLHqH9md+D8omMnUHTB75A0q3+ebbC6SvEZDiGFuUJuqVdG7v1aGpGzURh7ZycMXQEGphwp8HwrvjAN3/5PG+s60RrWLm+k2/d9gKvresgmfexrMq8fYSUYFukXQW2hSzRcdrA166ex4TWBAAzJzXxxUtmI8ukPLK+TVLHyddPotsL4/qVEeqMSpf233+X1JI/425dS/LZ++j888+IWuULvSXCPrz1JOmHf4R+7RESYR9RBg9oqQgCRahlQh97aPgklLAO+u8KIZCFLrqevrsnNyq/YQXpJX8iXOUaTWvQ4TiR8UfsNgpJw6mX45Yxr9P3A/KexPWGljjbhfGkGQzvQqA0G7ametk2bk1RXxvmp39Yzj9dcnSZjuzdkZZk1dvdfOeOl/ADRdixuPGqYxnXUkPQz1VaQaCoi9h85ePHIYQgCBRScKDdM/qdSgs7Wdqj0PZmL1t21Qs0nPZxyrEER+2A7id+TXrZ4wDkVi8hv/5VEmd8luwgaW2glEY2tFIz/UQyrz0NQGj4eOJHn35Ic0wtS+C+va6PvbDxdcJHnUW1b6kZ36HxnM8RbN+I17mZ6IQjKchY2So8DdV+RRkMJcSSgvp4mK49Bp7Xx8PkCj5bO7IoXXmu6AD4wV0v4+8MxRa8gJt/+zLf/T8nUho/icYP4JZ7l/L6uk6mjW/gMxceScjC5O7tQloIy0EHuxPRZLSmbKFOR/iklz/Ry5Zbs5RGPIQYPH3l0p5D7cIrqF94KagAZUUOOZ8pCBTRUYf1sUcmziYQziH97UpAa0i5DlbDJGTTYSS9oOwPXUOdSttjDIaKwQKuu2wOsUjxWSYWsfnMBbN44Ok1LDiqlZCsvPBQEOieuZ+76EjmD2rjtR2JlgJhSeS7fNYAwbdufZ4lK9vJFXyWrGzn27e9UCy2MADFoob6ky/pZWs87eNlHX0lnNAeP0gaTr4EiaYmv4VEyMU5+IhgRZH1HZJ+jKSKk/acQ/ayag2+XUvTmZ9GhmMgJDXTT6Rm1imDKhwXBPqQiysM/YPxpBkM74IKFKMao/zoS6eQK/jk3YCHF69lQmsdHzhxAn4FLmKWJRgzPM7GPcK0U8c1cKB6UtgWL7zRzsPPrqO+NsxHz55GPGz3KZYIFKxtS/ayrdnUTaCKIncwErIhLAoIwNcWuWDf3qe8L4kefhKtk+fibd9IaPh4XBGhUKaUtAJh6hd8mM5HbwWg/oQL0b7Hxp9cA4AIRRlx2ddR4eGH3BqlkrAsiWNplBa4h1AokfMtwhPnMWLi0QjA0zYpd7Be7YZyY0SaoeQIAdKyUFpjCaoqv6HYPT+gNiSJhiwuXjSFkJQVKdCgeEP/61XHcsu9y1i5oZOZk5r41PlHILXe76iFbUuWvNnOf/5ud3Xc8tXb+fF1p/bxj0kJiZoQyYzbY0vUhJCSSuh80e9E7AC9cRlb/n/2zjtOrqr8/+9z7r3TtvfsbnolFUJCCIGEEERCR0HpFpqiiChixa/A14KKoiiiIP70K2BBkab0SCdA6ARCSA8pm91s351y7z3n98ckk0x2k2y2zuye9z+89snO7GHu3Hue85TP88QdqFg7kYlzKDruov129kU9GyHyCVTPwPOigEBKMSD1c3EXIpOOonLUVGIblpM78TA2/uby1L/rRJT6h39L0ce+QRuBfbxT3yKlICRdJD4eDnFfdjsVm+N4qNq1tL21BKd8FAUzFtHiBbv9+cddBjQSahg6GCfN0KdYliSuNPc89j61jVEWzx3FpJFF6AyQRjgQkvVVGgl4qnfXLoTAspOVB8pXPdq4fV8RlIIrPnkwmmQ9g9D6gN7TVfDw0vVptljCZ/WHjUwaXpAWXbEFXHn2TG740yskPEXAllx59kxsMSh9NAIqyqYHf5n6uf39pTgl1QRnnkp8P+muXMcjtuIZmt95GqdwGIVHn0OblTcgtXvtno1wyrEnDcOP1bJnLZXbUDMgUio7sSxBjmqm/j+3k6hdT2jMIRQtPJ9mN4A+QE/NcSTu6lfY/sjvkoYVL9K2/FnKzv4eLWrgnFCDoSsYJ83Qpygh+NrNz6QiLW+srOXKs2cya0LJoNNm6g7SEkQ9zb2Pvk807vHxheMpyg2ge5BmSjpkOjlWhQMvZbYklOSHgYY0e2FesMMG6XuKMRV53Pbtj9DcliAn5CC17vVO0kzAsiTxres62KNrXid08PGwj6hTwBFE315Cw9N3A5DYspro+repvPBGmv2BcRS0TtYdhUO5yEg+qn1X2jpy0Fw8sWtdUgqE6L9mkIiMs/Wu61LCqm3vPI1ORMk97nNE3QNLLQZUlLqX7k+zuds3oWMtYJX02poNhr7ANA4Y+gwpBRu3taalwgAeem4tCdP5B4CnBVfe9DSPv7yB597czFU3P0NjW2Kvhfr9gtKcf8JBqYYJgIPHl1JaEO40IqeVoqTisI4nAAAgAElEQVQgTK4jEb6PVoPDQZNSkOu45IsW8q02wjJBoHxkh98LDj9oR2ff3nFUjJY3n0yzqfZm/JbtAzGgIY12FWTYedcTGjUNK7eIvFmLKTjqLOJeMiWbF3AJNa8jUPc++YEEltUPC/biHZTv2z9YhiO6F58VdkdHWMjeqSOzLUGeEydPtpLvxHEs82wz9B4mkmboM7QmbaPfSW7EQQqBzvJ29Z7iOBbPvLWFeGLXxqM13PfMai46aQqql9OqXUUpTcQR/Pprx7BuSzP5OQFK8kPg+0PqiuXaCWrv+SGJmrUAhMcdSsmJn6do4Xk0PPs38D2CVRMomHs6ze6+HRctJFZOIV5jTZpdBiN9KnkRtDW2TqCETVzZnTrZnq9pt4soOOnKZP2XCNDiCrSGPCfBtr/9L27thuR6I/lUfebHNItwn65b2AGQdtowbaeogu74/3ERpmjheWy750cpW2jkFHQgB3o4nsu2JeF4LTV//wF+Sz0ylEPZ6VdB0RhcP3s6nC1LEJFx8OIIO0BcO8Q9E8PJBIyTZugztNaU5IeYMqaYd9fWA8lRQp8+cTI9qSuXUuA4Fkpld5u41rpzJzbkDLiAxc6GibEVuUkl8iyrIewpwaBF+9uPpxw0SIq+JrauJTDtOKqnLkjNbWzx9l8nFddBio+7kK1/viall5YzZR7KifTYUegMIcBrayL+yj9p/GAZgbIRFB37Wdqs3E5Tlr6vacdm9y3BtiWJTStSDhoko3/Ny/5DYM6ZxHsgCrs/Etqh+LjPUv/YHaAVwglSctIXieoQByrc5XkKu2w8VZf8gvaVL+GUjiBQOYEWt+czIEPEqL3/JvyW5PNNxdqove9nVF70c1w/OxoLLEsQ8RupufM6/JZ6hOVQvPhSgqMOJe6ZrtWBxjhp3cCyJNKSCDSJxNDavA4YX3H1ebP4sLaVusYo08aV4gi63drfFnXZ3ppgyasbGVmRx5ypwxA9LLYfKDxPccjEMsoKw9Q2RgEIB21OO3pcRsychMxT7+8vQtKlYevqDvZEzTqsiim0u7tvwPv/jHxfkYiUU/35XxOvWYOdXwrhQlrdvpklFLQV9Uv+j9a3ngLAa6whXrOOigt+SEsXa+CEEHg7nI/d8ZtrEX2seBvzJKFxc6m+bBaqvQmZW0TUD3T7uRHzLOKyEGf6ibi+JpZQ9IbwrBQat+7DNJuKtaG9BGRJ92dQJNj+n9+kHE3tu2x/+HdUX3YL8UErpJM9GCftABGW5MPt7Tz28gZGlOdy7OwRSK2Muvpe0FqD5zOiJMKoshw8T3VbwNq2JW+tquWHf3wlZfvPC+v43sVzYYBSgz1FKs1PLj+Kt9dsJxb3mHVQORY7I1mGgcBxLBKbVhAZP4u2FUvT/i0yYTat3Wx4SXiCBEGssqnElUb3ofipg0fduy+k2fzmOoQXY18NDrvjuj75E2bTsOTPaWnHvFknElOSvpaij3kWMSxEMIRO7P/394fW9Pqh2teSYNV44ptXpWxWbiHYwQ4RUiEEYcvFa9lOnqOJ6yCJgRvfmsJCkdiW3s2N8tDxdpD7dzR31s8O1QNdX9OnSecHH3yQE088keOOO4677rqrw7+vWbOGCy64gFNPPZWLLrqIpqamvlxOj7Edydtr6/nOb1/g6dc+5M5HVvDt376AEiZ3vz+U0j3WR3MV3P3o+2m29VtbaGpNDHjxdXfxfYX2fA4ZW8wRUyqSUcFBJCCajQghkrM2haRo/iexcgqxC8opPfmL6EjRAUtA7Invqx6/x/5QGuyCsnSjkNBJAf2+iBGm8jM/IjxuJqERUyj/5LdRBVX9KnKbyWOqYjpA6WlfIVg5DgCnpJqKT15DtBNpjzwnQfNjv2HDzZ9j6x+uQmx6k5A18IdLD5vwmEPSbCIYQQRz9vk6KQX5gQSh5nWEmteSH3CxLLMX9jZ9Fkmrqanhpptu4t577yUQCHD22Wdz+OGHM378eCAZYbnsssv4zne+w4IFC7jxxhu57bbbuPrqq/tqST3G9eGfS9IHJW+pa6O+OU5xzuCZeZdt9PWG1x9kk8DvYMd1fXKnzmfz768id+pRlC6+BO172GWjaHMtsmE+Y5wQZSddxpa7rkvVwBXO/ySuPrD0asKX+MFy8o6/HIEiQdB8V3fD9zVtVi5FH/smllAoLYgS6vAZBW1N80v3EV31GgAq2krd/b+g+rJbiBEZiKWniPk2xcddiPYTRFe9jlNSRenJX+rU0dydXDvBtru/h1u/BUgeCoZd8AOaBkhSZrDSZ07aCy+8wNy5cyksLATg+OOP55FHHuHyy5PK1suXLycSibBgwQIAPv/5z9Pc3LzX98sUbLvjSaFfWtINOBLOPX5SWrpz5LA8ivKCQ66w3dB3aK1JOHlUnPNdGp/5C40v/ouCeWfiObkoL/MdNEg6/YHKcVR9/td4jTXYecW4MkS0G4Xgvq+JYpEc9GUctD3xfU0buzu/HT8jWydoWvfWHlaNW7cRWXLQgKYKtdY0u0HyP/oFihcrlIJYJ47m7jiORfSD51MOGoDXVEvbO08TmLbY1Gr3In3mpG3bto2ysl3h9vLyct56a9eXdMOGDZSWlvKNb3yDd999l4kTJ/Ld7363r5bTKzhScMHiyVx3x9JU1GzCiELycwLGSegHPE8xY3wZP7tiPk8uSzYOHD4t2TiQHVunIVuIexZ24VgKT/kaoHFlOOs6iaUdoNkNInJHoZU2/tUA4ssAwepJuLUb0+xOSTXRDKjl0lrT7u3uDuz7yyKEwG2q7WD3GmsIZmvtSYbSZ05aZykosdvF8zyPl19+mTvvvJPp06fzi1/8ghtuuIEbbrihy3+jpCS3V9a6N8rK8jrYJocdfv21RTz3xiaGV+QyY3wZhXnZ0cUzWJg4qpiJo4oHehkHRFvUJe76OJYgL2dwfl86u1+yn33X5WQ6g/OaZCfhBWfhbltHfPMqhB2geNEF2Dn5lIWy8zuWmLGQ5qX3s3v6P3/W8QTzwwO3qB6SifdLnzlpFRUVLFu2LPXztm3bKC8vT/1cVlbGqFGjmD59OgAnn3wyV1xxxQH9je3bW/ssTFxWlkdtbUun/xaxBScdMTKp0xVLUBvrhdYjQ5fY13XJRKQUKCG57f53ePODWsZU5XP5Jw4hxxGDqiM4267LUMBck8xCygBFp38DR/ooLUhoh/oWBS3ZeY2CVh7Dzr+exmf/BkpRcNSZJILFNGfpd66v7xcpRbcCS33WijFv3jxefPFF6uvriUajPPbYY6n6M4CZM2dSX1/PihUrAFiyZAlTp07tq+X0Klon9dF6o4BWSIm2LGJKg2WZ7phBhhKCX93zBkvf2UI07vHu2nq+d/uL+AMuV2swGPoTpTRtnoNTUEazGySW5Yr+cd8iljeKgpOupODkr5AoGk/MiN/2On0aSfvKV77Cpz71KVzX5cwzz2TGjBlccsklXHHFFUyfPp1bbrmFa665hmg0yrBhw/jJT37SV8vpNrYt0br74qv7QlqSDzY3c+OdrxJ3fXLCDtddMpfyfNNBNWgQgtdXptdu1DZESXiKgPHTDAZDFuP7asekCjBFj32D0FmsX9CX6c6Skly2N0V5b109lhRMGlmE1LpXnTVtSS6/8Smi8V2KhsNKIvzgc/MQg2RIdW+TbSkcbUmu+e2LbNnelrIFHYvffP0YRC98l6QUWJbEH+CpC9l2XYYC5ppkJua6ZCaZmu40Ewf2Qn1zjK/84mmaWpP1ZmWFYX5y+VG9+jdcT6U5aABbt7djMmGDB0fAlefM5NrblxKNe9iW4ItnHoykF9S2LMn21gTL19QxeXQJpfkhtJ9dHYgGg8Fg2DvGSeuEQMDiwRfWpRw0gNrGKC8t38qR04b1Wit+wJaUFYWpbYimbJNHFxsfbRDheYqKgiC3XH0MbVGXnJCDQKN7GEWTtuSJZcmpFzv5xLETOPGIUWiTKjcYDIZBQXZXLvYZgsbWeAdrY2s8TUakMyxLgiXBtsCSqblmnSHRXHvxXCaMKEQKOHh8KVedeyiylzPQQiQdz86EeA19j/KT80tzHAm+32MHDcDXcM+T6dMv/vXUajJAcslgMBgMvYSJpHWC5/mcfNRYHntpfUq01pKChYcOx3X3PhFXWoLWhM8v/vo6qz9sZNq4Ur70yUNwZOfDZ5WvyQ1YfOuC2SAFaI3Uuldri4QliHua/y77kLLCMNPGliDUwNYvZQWWRGnwfEXAlr1+XXqOwN1DQNnzFVqbbLnBYOgeQkDY8rCFBwjiOkDcM0+UgcQ4aZ2glKaiOMxPvzSfe578AMsSnP2RSQRtuc8oiI/g2t8vTaUv31pVx8/vfo2rzzuUvVUgpRoR0v/TK1iWpLYlztd//VzKwRg5LI/rLp4LytQu7RVLcs9/V/HIi+vQGkYNy+N7GfaZSTRHHVLNM69vStnmTh2GJbJhsqRhd6QUGXYAMAxV8hyXhsdup33lK4hAkKKF5xMeP5eol5mugmMLQsSSExC0Rcy3Bt0M7cz85DOAcNChLC/AZR+bljQojdpPmsr1VFp9GcB76+rRDEx0QwF3PrIibQPYsLWFLdvbqSoKDcqNQQiBloLojtlx4YCFULrLQ9iFEDS0Jnj4hXUp2/qtLdz3zGrOOHocfqaMBlKKC0+ewuTRxby6YhsHTyhl/sHVaG/vkV5DZhGyfQI6jtuwBaeokoQIGp0pw4ARcARtbz5B+8qXAdCJGPWP/Z6qUdMQsjDjnJ+g7SO3raTmkdvw25rImXIkhYs+RXPc2f+LswjjpO2DpCJ817+Zjm0RDtodJDX2fAtpSRSChOcTsC0selfaYycaSHTiVOyZJhtMCFtyw5+W8f6GBgAmjSziW5+eje6ic2VZgvVbmzvYV3/YhK93OIEZ8LTSGrTrc+S0YRwxtQIpBN4+UvGGzCJgg/7wLTY9cDPsOMaVnHgZwdGHmfSSYUCwVILWtW92sMe3rMIaOSfjtDuDOs6mf/4UdHJdbcufxS4oIzjzNOLuwD+jewtTSd6LWGi+eu6hBAPJ03BO2OGqc2dh7/bMlZZkzdYWvnjjf/n8j5fw1ZufobHd7ZOiflvAGYsmpNmK8oKMrMgblFE0x7FY9t62lIMG8P6GBl5dsQ3H6VqEwvNUssN2j33ykIll/Pv5NcmmkAzCc32Up/AyJcJn6BIhEaf+sd+z6wSnqX/iDwSFGTFnGBh86RAa1XHqT7BibJ8EEXqCZQkStetTDtpOoqtexVKxAVpV35BZO06Wo3zFhKo8fnP1In7z9WP41VULKcsPpn3BlRD89M5XU9G2xpY4N979Gn3h+HueYuywPG744pHMP6SaM44Zz41XzEfqzLrhegspBas3N3Wwr9rUtM8u2z0J2pJvfuowSgtDBAMWJxwxmgkjCvnXU6t5f0OD6ZI19BytUbG2dFMi1mHTMRj6i4QLeTMXEx5zMADCcihaeB5+MD/jUp1KaZziqg72QOU4lAwMwIr6DpPu7GWUrxH4hKQAz+/QCJBw/Q4CthtrWhB9VLWmfUVlYYhLTpmCEOAmfAZrzMV1fRYeOjytngzY0ZXb9f9r7SumjSnmq+fMwvMVy96r4Yf/72WUhg01LUwbXdTLKzcMNTxsQqOmEVv/TsoWrJ6Ebx7JvYJlCQLCQ2iFK0O9pm052Gl2A+Sf8CWKcUFIEtqhPQNnjGoNvp1D4YKzaXzuHlA+TtlICo76JC2DrFzAPBH6mYBtUZQXpKFllw7b5NHF9GVPnu9rGAJK9EppygtCfPmsQ/jr4ysBOPu4iZQXhPbb9LEnnuuT8HyuvX1pmv2I6ZW4rol2GHpGTDmUnnIFjc/dQ3zDOwSHT6Zg/tm0+gFMf27PCNiaYKyOhqfuRMXayJ9zMk71VNpds93tD6017Z5NNrgG7Z5NaNpxVE9fCL6PshzaVDAjaoZ7EzO7cy/01Rwvy5I0trvcePdrbKxpYfLoYr56zkwc0bmWmiGdrlwXx7FI+MnPMmCJbp+ihW3x6vvbuPe/q3BsyadOmMzYqvxeEaMdbJh5hAeOEBC0NZZK4IsAcV/0alppqF6TAjvGpt99Ce27KVv5md/ELZ+SEcXvmXRdQrZPUHgoN4ZwwrSrIJ4/NPchM7vTACR10YpyHK696PAd0wt6X8B2qOO6fip53JOgl/Z8Dj+onEMmlCIQPXL4DIY90RpirgCCA72UQYNtS6Lr305z0ABaXnuEvMUT8DASJzsJ2T7e+89Su+T/QCusnAIqzr2Odrtoh7KBIRPIvGTzEMDzFEKpZArSN+r/mYzr+kilEUoZB81gyHC01th5xR3sVn4JWmS/gxayffKdGHk0ke8ksKzu118FcWnY4aAB+G1N1D9ym+kwzjBMJK2fkFJgOxZoSCSMnpXBYDD0Nr6vsUpHEqyaSHxzsi5VhvMoOOIMWrL8sRu2fdwVT1P73zt3RL4KqTjvOtpkYbcO+n6spUM3caJuI1avzr0x9BTjpPUDYkcd2sNPrqK0MMyxh43A0n0jYGswGAxDmVY3QMnHr0Y116LibThlo2jzs7+g3CHBtiV/Zmdjid/WSP2jt1Nw0pW0qwPfymWkABEIoxO7puREJszGFYNLsT/bMU5aH2NZks0NUb596/OpouCHX1zHz66YP6DrMhgMhsGI1pqWhIOMVEMEookDmxyTiQgBqr2ZPf8/3LqNSHy6s5VH/QDDzruO7f+5Fbd+M5GJcyhYcC4trqmCyiSMk9bHKOBvT6xM69qqb46xZnMz4yvzTDTNYBgEOE5ysLM3iEeuZRuDqdZXa5C5RYhAKCl6vIPw+Nl4onvira4POjyM4jO+hRTgaYsWd/ANKM92jMvcRRzHIhi0D0i5fidyzxlDsON9BufdYFmyy2OYhiq2I1FSICzZre+UITNwLE2+HUW//yRy3YsUBBJYGTY6zDA4iKoAw869jkDFaIQTImfaAgrmn92jWa+ep2jzArS4AaKecdAyERNJ2w9SCrSUPPfOVjbXtXHs7BEURJwua2VJ4NyPTuKND2pTJ7uK4gijh+XhD7JTt5QCbUlWbGikvjnK7IOGYUuNNu3caUjH4uGlG3jmjU0MK45w0alTyQlYBxRVFQIs28LXGgsyQv9pqCGEIKxa2HzHVWgv2RFn5ZUw7NM/otkfXKNpDAOP64GOVFJ8xreRQuNqhxZXGsdqkGOctP2gpeSa373IptpWAB58dg3XX3oEo8tzurQx+r6iJD/Ir69ayJJXP6S0MMThU4YhtRp045m0lFz3+5dYt6UZgDusd/nZFfMpCNuDKvXQEyzH4qHn13HPkg8A2FTbyspbGrj5qwu7/h6WxAPufWo1W+raOG7OSCaOKEQPMqc/0wna0PTcfSkHDcBv2U58/TvYI2Ybx9nQbYSAsOVik2xJ9YRD1LPxPIXH0DsAWJYkLGJIofG1JKoCQ2ZPMU7aPpBSsLWhPeWg7eTux1Zw9bmzujxtU/uKsC04/agxaK1x3cE3P1NKwaa6tpSDBuD5ijsfWcEXPj6dwZraPVBcX/PUax+m2VraXbY3xSjJdbp0KvaF4Bu/fpa6xmRtyrL3avjimQczd3K50XLrV3RafdBOlBvfIVRtMHSPPMej4dHbaP/gFQAiE+dQ+NFLaEkMvc5L24ZQdAu19/0Cr2ELweqJlJ52Ja3kDAlHzRRPdIPuhJf1Dn20wbqJCiE6DI4HiCY8457thgDKisId7LmRrjloQgi2N8VSDtpOHnh2DXGTVu5XEr4gf+5psNtxTQTCRMbNHLT3uaHvsW2L+Pq3Ug4aQPvKl0l8+C62PfS27IhIUPPX7+M1bAEgvmkl2x/8FSHp7ueVg4Ohd8UPAKU05UURKktz0uznHDcJx3xyafi+Ymx1Afk56aH4jy0cj22CCilsAZeePp1QYFdjxQlHjCbQ5YevJthJU0YkaHc5smvoHZTSuOESKi/8CbnTFpA360SqLrqRNh0a6KUZshjLEsQ3vtvBHt/w7pBsStFeDBVNn6kZ2/gethwa5QQm3bkfLK344WXzeP7NzWyua+O4OaMozHFMvUknWFrzsy8v4L6nV7O9KcbJR46hujRiPqvd8H1FYcThN19fxOa6NorzgkmHrYtNA1pDXsRh2rgS3lm9HUimmj9z8hQcCeaj7l/inoUbKCe88CI0ghZXmUJuQ4/wPEXkoCNoeeOJNHtk0lziQ/AGF3awg/RIoGJMVx+ZWY/QWSzDvH17a5/lpMvK8qit3eW9O46FlMkB20MhD95dhEiG630Nog+mKux5XbIZKUW3vktCAJbFhpoWttS1MXNSOQFLdLnjuC8YTNdlsJBN10QIgWUJfH/wO7lduS65jkf07SdoWnofICg84mMEpy2izR16cZWApbG2r6Lu/ptQ8XasvBIqzrqGdqekV/eXvr5fpBSUlOQe8OuG3hXvJqbGpGtonZ2f1U5JC62BfhrZ1V1nX2vA8xldnsPYYXm4rm9kTgxZS47tImKNJDZtIFI9kYQdIeYNbZ3FVtcmOH0xVdMXoYEEAdqGRglWBxK+IFA6gcqLb0L7LlgB2lVwyAjBGyfNMOSxLIGrBf96ejV1DVFOPHIMVSWR/aYgpRRozYDNBPR9je9nn0NsMOwkbPu0v/ogzS89kLKVnnYlgeEzSbhD++ARdyE+BOU2OiPhQYIgEEyO8RlC7WhDrwpxiCAsCbZF1NdgW8ghWHDaVZSQfO3mZ3ngmTW88PYWrvntC6ze3Ixtd36atywBtsWGunZqW+LJz9dMDTAYDhgHl+aXH0qzNTzx/wgSH6AVGQyZhYmkDUKkJflgczM//fMyEp4iHLT57oWHU10cHjIh4q4ipWDtlmYaW9M3hX89tYqrzpnZoWNSCHC14Gs3P0NjS/I144cX8p3PHAbKRLUMhgNC+aDTn0l+tM10Kht6RMARWNrDEw6um917ngmvDEJ84Bd/eY3Ejk6gaNzj5395lY4qZtnBzmYEpOyTpo1QsONZJRiwOp25atkW9z+zOuWgAaz6sJHVm5qGZHu8wdATlBUgUDkuzZY7fQEJEz8wdAMpBfkBF++NB2j5zy9h1TPkBbJ150ti7oRBiOdr2mLpX8y6xhhak3UnVMsSeEj++dQq1m1uZv7Mag6fMgzl9s6Np5RmWHGE0ZX5qWkJtiW4YPFkJHSYDKE1bGuIdnif2sZ2Jg0vwJSIGfZHcuSPlxz5IyChnYwplBdCIKXot4h7ux+g/Ixv0PzyQ8Q3ryQy4TAi046mOW4OPIYDJ2IlqLv3J8Q3J8fuRde9RV7dh4TmnkXMzbbdL4lx0gYhtiWoLM1hS11byjZpVFGfhU2lFCgh8HyNlAJL0GtyED6C/7lt1+zUd9Zsp7YhyinzRuH3kmaQUIrvXXQ4729ooK4xxpypFTh72agEmhPmjeal5VtTNtsSHDqpIiu7WjMCS6I0JDxFyLGw6J/u2r0hLIlCoLVGChBK92pzSF7Ao+GR3yUV5aVF/pyTyZl1yoDLK+Q4HiLagLt9MzlVE4gTIu73rbOklKYpESB42McJKRdfBmmOZ3d6yjBwSJVIOWg7aX3jSfLnfpxYljZhGCdtEGID37vocH51z5t8sKGBqWNL+OKZByPR9Mnjz5L8+P+W8f76BgCOmzOScz86qVcGfscSfofZqY8uXccJR4zqtaigUhqUz5SRhYhRYp+SFp6nGFWeyzcumM2/nl5NKGjx6ROm7NApGzodR72GJbn36dU89NxaAIaVRPj+5+ZhCTEwXbOW5F/PrOGh59eilGbmxDK+fNZMdC9Fbh1H0v7e87tG/iif5qX3E5k4BxkZ3qV0vhCCiJXAwgMhSWi7x5G4iO3R+vzfaH3j8R1/RFJx1newiyf0ixh13AVwuizqbDB0irBI5ot23UciGM7qXlDjpA1CfF8RsgRXnTMTTbLwUGjdJ/Vcti159JWNKQcN4PGXN7Bo9ggqC0M9/ptOJx2WuZFAn3Rgd3Uz0r5i2ugiJo44NCnCCaYhoxsIAS0xL+WgAWzd3s5fHnufCxZPQnv9+2iVUlDTGOOBZ9ekbK+vrOXp1z9k0czqXomUWni0rX+7gz2+cQXWlJGoLjSf5AUS1D/0K6Jr39oRiTuFnFkn0eZ2f/i2jbvLQQPQivrH7qDk7GvxsjQCYRh6uNjkzVpMy6sPp2zFiz5NXAfJVtkOk/gfpCilwVcIX6F91WdTEpQmzUHbyaqNjb1SSG9JWDR7ROpnKeCSU6cN+OxU1/UROz7jbHTQpBRgSVwE2rKSki39vgaZlpLfybotzXgDEJW0LMn7G+o72N9evR2/l6J6PjahsTM72EOjpnXpexRwJG1vLUk6aLAjEncfom17j2RgtJfouNb2JmSWbmyZhpSCQMA2zUV9TNSzyZn7cSo//SOKF19K1SW/QI48mEQ/H/h6ExNJM/QIKWDe9EqWvVeTZj94QlnvpEl8xfnHH8SJR4xmQ00L08eXYouuR70MHREClJT84P+9zOpNTUgp+PjR4zhx3uh+TTf5vmJsdUGH8VjzZlQRsCVeP9f4eZ5i+rjSDvY5UyqwBL1SKuC6ivwJh5O7+QNa33kGYTsUzjsDlVOC6oJ4q6Vd2je+18Ee37wKa0J1lyJxneKEsYuG4TXsqrXMPfgjuCLYvfczpIg4HqKlhuiq1wgOPwg/NA4TH+k72lwHGa5Cjh1Oq++js7u5E+vaa6+9dqAX0V2i0USfzXnLyQnS3t7xdGlIRylNVXkuCMHazc3khB0+97HpjCrP7b2aIq3JCdlUl+ZQVpxDW2t2CF1KS6KkJO5rbCcp6ZEJo3ItW3LvU6tZuqP5QWt4d109iw4bQcju3ubR3fvFljDzoApWbmjEV4rFc0dx0pFj8AeoCSMctCktCrNiXQNaa46bM5LFc0f36nriviQyZjqFc04kb9YJ6PKJRN2u1ZQJy8bRcaJrXk+zFy48jzjhNNuBXBNfOBTPOBLtJRBSkj/nVHIOPv7WV/IAACAASURBVI521zgTPSHogPfeU9TddxPxje/RtvxZ/LYmcsZMw1Xms+0rtD7wsXt9vecLIYhEDrx0YL+RNM/zsO30X2tqaqKgoOCA/5hhcKJcn4/NH8Op88eC1thS9HoURKm+qanrKyxLsrUxxvV3LKUt5hEO2nzzU7MZVZ6LGuD0qOdrVm5s7GDfsLWFGWOK+zV9q3zN6PIcrr9kLgiwBfi9VKTfHbSvWDCjkiOnVwIi2WzTB+uJehZRDrzY33UV+ZPmkVuzhta3n0E4QYqOPgcVLOhRDZ/vK5pViNC8cwgrD08GaUmYaHVPCRBny3P3pNla336agvln01eJrJADARJoIE5wyI/Xynb26sq/8847HHPMMcycOZMrr7yS1tZdHXaf+cxn+mNthizC9xR4Pvhql4NmSXwpiWvAOrDRSbYtEZbEsi1EJ6KymY4H/PSuZSm9umjc48a7Xu2guzYQOLZkzpRhaTYhYMKIwgGpr/M8hVDJ+sneklXpCb6nkmlf3x9wh7ozmhM2kaMuoPoLt1J1yS+RExbQ7vV8w9caYq4g6me/SnumIBCdTCLR9FURe17AI/H6A2y+7Qq2/uEqWP08ETsz8n1CCBzHjNA7UPbqpP3gBz/g2muv5amnnsK2bS6++GISiWQoMBNSNobMRlgWdz76Ppf88Aku+/ESrr1jKUp2LbwvbIv3Njbxy3ve5P8eXYGrybqCW62TAsK709LuDkhB/J54rs+xs0fwkcNGYluCwrwgXztvFsEs+4yHMlHPotkN0uwGiGfGHmzohAQOebNPTLOFx87EF70fRbNtifvhuzS9cC/ajaGiLWx/5DZktH7AHaOw7ZHrb0eveJJQyzpyHfOl7Sp7/abEYjGOPvpoAG688UauuOIKvvWtb/Gzn/2s3xZnyE6kFGxrirJk2caUbcPWFh58bi0fO2oM3j7002xb8uba7fzsrtdStpeXb+WXX12IbUuaWuNoKQlYIqPFY6WAsdUFrNnUlLJVluZgWwIywFHTnsf5x0/i3OMngdZYgoyIYhkMg4mYK8idfTLByvG0v/8iwRFTyZ08l8Zo1w9EOx2s/ZV72ELR/t4LHezR1a9hzziJRGJgnpcBW+BveINtD/06ZcuZvpDc+ef3SgR4sLPXb4pSiu3bt6d+/vGPf8yqVau45ZZbsjL9ZOg/pBSs3zFiaXfWbGrC28+DxlWah55dm2ZraXdpaUvw3sYmvvu7F/j+H1/mvY2NAyIbsTcsS7D7bWGh+eanZjNlTHEqlfjdC+dgZ4ikgdagPD+VojYOmsHQN7QmbLzKGUQWXQrj52PnFHSp4U0IQZ7jEm7fRLDhA/IDCSxr73uvjyQwfFIHe7BqAv4AHgyDxGj8751ptra3n8LGHaAVZRd7dWMvvPBCTj/9dL7//e9z9NFHEw6HufXWWzn//POpqanZ28sMBnxfMW1cKUKQ9jCaf3AVjgX7KneRQpAbSRflLCsKk/AUP/rTKynbD//4Cj//8gKKc5wBbSgQlsDXglWbmqgsySEnZO/QTtMEpOBr5x4KQqCVThbFZ2CNk8Fg6Fs8T5FM8HU9mpXrJNi+2xxKGc6j8jM/pkVEOnXyXFeRP2U+0ZWvENv4LgA5U49ClozEH8gaQyFQiVhHuzbPwq6w11DEaaedxp/+9CeWL1+eslVVVXHPPfeYSJphn2gNIVvyrU8fRkVxhJyww5mLJjB7cvl+C5Ilmk+dOBlnNymI4+aMZMmrGzv87pJXN+I4AzeY2rYlG2vbufSGJ/nhH1/hSz97ivufXZuK8O0UFMbzESo7RW8NBkP/Y1kSr3Z92hxKFW2heel9BPaRIWxJOBSd8hWqL7uF6i/cSu7Rn6G1B5MoegMXh7xZi9NswarxKGkmWXSFfSaEx44dy0MPPURNTQ3f+c532LZtG1/96leZN29ef63PkKVopThoRAE/vCz5XUlKK+z/FOn7mvyww61fX8Q7a7ZTkh9iTFU+z7yxqcPvjqzIG9Aomqvgt/e+lbaGB55dzSnzxxipSoPB0G2EAL+5roPda64jpH3Yi3yL1ppWzwEG1jHbnZgryJt9MoGyEbS/9wKBqonkzFhEqxcgW0c19Sf73Uv+8Y9/4HkeZ5xxBueddx6f+MQnuO222/pjbYYsx3OTsgoHKq2gfYVUikPHlzCiNEIi5nLE9EpGDstL/c6oYXkcNqViQJsHhBA0tKQL62oNrqnvMhgMPcDzFKExB4OVHkfJO/R4vAxywLpKS8JGjZxDzke/iDX9BJoTfVOmErE98u12cr068gOJZKNWlrPf1gohBIFAgGg0ilLKpDoN/cbuo5+Er7j24rk0tyVQSlOUF0zOJR3A9UkBx8wazn9eWJeyDSuJELQt8DO383SwIYRAWhJfaZwM7/o1GLpKTIeo/PSPaHzqLlSsjfw5JyPKx+FlqYad6/q4SHpnwFpHIrZH9PV/0/zivwCQkXyGnf+/tMnCrBJC35P9OmmnnHIKM2fO5P7776euro6rrrqKJ598kltvvbU/1mcwADvqu5TPuOGF1NW1oD1/wAPlyvP55LETKMwLsvSdrYyuzOfcj07CQmeEaO1QwLIkcaX526MrqG2IcvzcUUwZXYzeh8yLwZANJHyBHywnb/HlCK1xZYiYOYDsFVvFUg4agGpvpuHxP5B/wpdoV9kr9bHflV9++eWcfvrpAOTk5PCXv/yFm266qc8XZsh+LEvgI3B9jW0JLOgVBfdM0lJWrs/iOSNZdOhwbEuifYWfxae2bMMXgq/d/AzNbUmh7bdW1fHlTx7CrEll/T6g3WDobXxfE925TZvo/F4RQuC3dRx159ZvRmifvhrB1R/sd+U7HbSdOI7D17/+9T5bkGFwYFmS1oTP9Xe8RE19O/k5Aa4+fxYjSiOoDBBz7U08108G8U30JoVtS1ydfHiK5LTjXneupRRs3NaactB28tDza5k+rmRQN29YlsSyJL5vuoYNBq01dkE5wgmh3V1yH5FJR+DJ4IEon2Qcg/k51icIS6ItKzWPcl/igkMZT8ONd71KTX07AM1tCW740yv45is36BGW5P1NzXzt5me5+AePc/sDy8HumVRK8r6TJDSww0HRGnLCHYuocyOBAR+D05fkOi7BxlW4r/ydYMMqM2LHYADaVYBh519PsGoCMpJP3qwTyDv8VOJZrpmbvTHAAUBYkldWbOO2+97G8zWlhSH+99J5hG2R1YWJfYGQgrWb06cOtMU8Eq5PcA8/zbKtZEpUglbazIbNcnwNP/rjy+y8JV54ewvlxWE+Nn9s9yYbWJJHX97A359YidJQWZLD9ZcegQ0U5QWZNq6Ed1Ynp6M4tuQzJ03BouuHZ9uWeBoEyVNrJkemQrZP28v30/zKQwA0v/QA+YedTOiwjxPzzAHIMHRxPVChYRSedjUSjScDNMez/7BmnLQDQLFDF2vH5lPXGOPWe9/iyrMOwei97IHWTBxZxMoNDSlTfk6AoLOr81EIELbNg8+t4eV3axhdlc8FJ0wmIEVGb5SGvSOlYH1NC3ueWZa9t42T53VPPy7mKv76+MrUz1u2t/Hnh9/jwpMno32fr55zKFvq2qhrijF1bDE2B+BoWZJVW1r4x5IPCDgW5x9/ECX5AXSGpuQDwqP21YfTbM2vPkL1nFOIERygVRkMmYHvK9rZIZKbxSnO3TFHrwOguS3RYfNZt6W5g82QnF151bmHMra6AIDyojD/c9HhyN2cWWFJ7nxkBf/47yo21LTwzOub+J/fvThY7q0hiVKaytKcDvaJI4u6pVkkpWBbfVsH+9otzXi+Tta5eT7VxWFmjitG+qrLzSmWJdjWGOX6O17i3bX1vLGylm/c8hxxT5PRSkN7RprNeB2DAcexsDJonnNvYSJpB0BBbpBQwCKW2OVGHHpQObYEZZ6Tafi+JmRJrvnMYSidjJrZgrR0l0Lw9Osfpr1uy/Y24q7qkBI1ZA9BS/LZk6fw54ffw/M1oyvzOe/4Sd2KTimlGV6ehyVFWtfsnCkVOJbE39GsoZQ+4JIDIWWaxh2ArzQvvL2F42YNz0i9NVfb5E5fSOtbS1K23BkLcbV5lBuGJkFbE1TtRFe+hlNQRs6wcbS4gUFTNmPu7APA0orrLz2Cm//+BptrW5kzdRifPiGZcjF0ZGfKaae/teenpJWmpCDE1u3tKZsUEHBkcualISvRSrHg4CqOOrgKz08KzFpo/G4+NC3gexfP5Tf/fJO6xhgLD63mlKPG4rs9K5gXAsoKwx3spYXhXn3AO45Fwk9G5yx6VvMW9SzyF5xLaPQMYmteIzT2UAIjp9GSGLgZtoZdCJFZEkGDHcuSOG2b2PTna0Ald5hg5XhKPv4NWgZ4ZmlvYZy0A8D3NcMKQ1x38VyE3CEt4Pe+tMBQwZHwhTMO5rrfL01FST5x7EQkpsIv29G+QrBjgqDfM3FfrRSjy3P4wefmIaRAotFezzsa3YTPifPGsGTZxtR4r5EVeUwfW4LXS3IqwpK8s66Be59aRShg86kTJ1OaF0T3IPTekrCxhx9KaNQsfF/TkjAHmoEmZPsEhItqa8LKLSTqB0j4mZwzHxwERYKGp+5KOWgA8S2rUK11iFDVoIimGSftAPG85OaDMo5ET/E8xYjSHG771rFs2NpCRUkOIScpCGsw7M7u911vfjtsFD//8gLWb20h4FhUlkQQqnfGjVmWZN22Vn7852Up2zdveY7ffH1Rj6cvep6iF/xUQy8QtBVq3TI2Pfw70AphByg/6zuogtF4ntkl+hSt0IloR7MbR4QHR1TTVP4YBhStkgPYx1TkEpKYNKehX/F9jfZ8RpfnUFUUQnt+r8npaCF4+MV16X9PaZa9V4Pj7Ds9KS0BtkXU12jLQgzCgujBQlC41D92R6qBQ3sJtj/0a0LEB3hlg5+ECJF/+KlpNiunELu4atDIYplIWj/iOBae0liSrB2S21cMlhvKkJ30xfdPCigvjnSwlxWF9/n3bFuypTHGdb9fSnvMw7ElXznnUKaMLOyVsWqGXsZ30V761AuvqY5BrKecMXieIlA1lfKzrqH19UexCsopmHMKrX6QwZLrMsezfkLaFq9+UMfN/3iT+55bB7Y1qFXRDYahgBBg2RIlBfYeUxV8z+fU+WMpytulXzZueAEThhfus3nA1fDzu1+jPZbMZ7qe4ld/f4MdCV9DhqGtAHZhRZotPG4mHqaZoz9o92wSxRPJPe4LBOd8kmYvhJ+hOofdwUTS+gHbtnj0lY3c9egKAF5/v5aXl2/l+kuOYNAo7hkyHikFSkpaoy5SCHJC9o7Gl8HzQOtPdn6ef//vKlasr2fmxDJOPnIM2vPROlkP46D52ZcXsGlbK6GgTUlBqEs1bzvHqe0kGvdIeD4B46dlHO0qRMXZ/0PDk38iWD2e8NhDsCL5tGuH3q2gNOwN31dEfcFgiZ7tjnHS+gFXaf79/No024fbWokmPMJm9qehn9CWxfW/X8q6LclxXQeNLOKbn56NzkA9sGxACcEN/7csNVVj9YdNbK5t45JTp6ZqK5Mnep8RpZGk4+b5+922BTBtbAnvrNmespUXhQnYRpomE/F9RavMpWTxJTQ8fTcNz/wNK5xL0XEXEqqaRswzETVD9zHpzn4iEuroDzu2+fgN/YPjWDz/1uaUgwawYkMDb66q65CmM3QNT+m0sWcAS9/Z0mlaUh3ATFqpNV8551BmTS4nYEsmjy7mukuOwOokSmDbFtqSYElsxzxPBgrbgpa3/kvrW/8F5eO3NVF3300EVPv+X2ww7AMTSesHHAkXnjKVH/zx5VRL8JEzKrGlSE6jNhj6mOTA+6YO9nVbmpk1oWwAVpT9WFJgWxJvt+hWTtihpykXpTSWVFz+8RkokpE1C92hzkZYkueXb+Wvj7+P1nDmognMP7gK3Usab4auY6sErauWdbDHN6/Cqp5lZhEbuo1x0voBz1OMrcrnN1cv4s0Pahk5LJ/Kkoh5mPYSliXxEbTHPQKO3OH8mofi7viez7GzR/LkKxvT7PMPqe414dahhgTOW3wQf/r3uynbJadPT44/6+F7J7s/dSomt+f7SSnY2hDld/96O2X7w4PLGV2Zz6iyHOMU9DO+dAhUTSC+aWWa3SkbScLMDDT0AOOk9Re+ImTBkdOG4fsKZTbGXkEI8IDv/Pb51Hipjxw2gnM/Osk4arvh+5rK4jBfPusQ7nnyA6QUnPvRSRTlBIysQzfRvuLoQ6o4fEoFG2paGFNVgGOJtPm0fcXO9PWePPvGJsadcFDKSdNSooGAJfBM7WGfkfCg4PDTiG98j8TWNSAk+XNPR4UK0O5Ar86QzRgnrR/Rmowc2rwvLEvgI4l7Po4lk9o/GbSpS8vir0+sTJv/+cQrGzlx3hiKIo7pXNwN7StmTShjxrhSAAIWuEavr2f4irAtmDxih6xGP5Uv+L5i0sgiHiS9IemgUUUopRFSsHJDA7ff/zZNrQlOnDea+QdXobLs+ZMtaA0tXpCSM76FVAmQNq62aXdNvaehZxgnzbBXklEqyfduf5EPt7UCcNKRYzhj4biMcdQ8pVi/tbmDfVNtKyVjigeVXk5v4Hl+KoVm/LPeQeueDU3vDp6nmDq2hJkTy3l95TYApo8vYdZB5biuj5KSb/z6Wbwd3/87HlhOJOQwZ1Kpccz7CKU0rcoBHKOsZOg1jJNm2CvSsvjbEytTDhrAv59fy3FzRlIQsjMiShWwJPMPrmbFul1ddlIKJo0qMnU5hsGN7/OlT8zA2zG9wJYC7SlsW/LmmvqUg7aTJ1/ZwMzxpQOxUoPB0E2MkzbAOE5y8oDr9t7MwN7CU5q1mztGqT7c1krR6KKMiFK5rs+RMyppaInz2EvrKcgNcslp03CkQGfA+gyGvkJrwFe7HuK+RgNKQUUn46gqS3OxjNSawZBVGCdtgJBSoC2LZ9/ezPqtLRw7eyRlBUF0Bj1BHQuOmFHJ+7tpQUkBE0fue6xNf6Ncn1PmjeKEuaOAZJF0ttX+GQy9hVKassIwh0+t4KXlNQAU5QU5+yMTUebgYjBkFcZJGyCUlGnq748uXc/V589ixpiijKkZ8VzFwpnD2d4Y44lXNlCQG+DS06dnZJTK95SptTIYduL7XHHWTBqa40TjHqUFIaRWGRH9zjQsS6KUojvVG5YliMg4wnfBsonpAAkvc6fI2LYkSCxZbyyDxOLm+5DpGCdtABACmtoSaervAH97fCUHXXR4Ro1RVq7HmQvH8rGjx6G1xpHJomWDwZC5aA35OUHi7QlynADa800t+x4ELUWQGImatTjFVahgHj4WtorjC4e4svdZgmJZkojfyLa7v4/XtA0RjFB2ypcIlE0i4Wfe9IegpbGb1+O31mPnFCKizRRWTaBdBTPasRzqGCctgxAC9G4Cln2NtOSOB7fAQu9VL2un7pMAjH9mMGQXmdDgk2nYtkTWrWTTPTeATj7UCuaeRrBqItse/wOB8lEUH3chbVbeXqOPIRFj+0O/wmtKdtfqeDu1991E1ed+RcIP7ncNQgikFP1WOhIUMWLb1hHfsprWt59KrsFyGHb+9aicanP4zlAyz90fAiRPuQHGVhek2c85/iACsn9cNGFb3PfcWj53wxIu/dET3PPUaoSZ4WgwGIYAIWLUP3J7ykEDaHrpQez8YvyW7URXv0bN3dcRkfG9voclIL51TZpNewm0G9vv389xXHLcWuytb5JvtRO09u0gCQEhR5Frx4nYHpZ1YPuEZUniW1YTHDY25aABaN+l/rHfE9D7X7NhYDCRtAFCKsV3L5zDq+9tY31NC8ccOpyi3EC/nGYsS7Jmawv3Pb06Zfv382uZMb6UySMKzInKYDD0CpYlk/VPGfZMkQL8tsZ0o1agdiWFveZahBcHAp2+h6cl4ZFTia57a9f7BiMIJwz7mDLgR1tpff7vtL7xeNIgJBVnfxe7aHynI9qEgDzHpemZu2lf9SqB0hEUL76UdquwyzWGSmmcogpUe8f5vV5rA1KYaGumYiJpA4RSGu36HD65nLMXjac4xzngzk4huhd1s23JsvdqOthfebcGyxq6XwnHsRC2xHZMRNFg6AlSCvIDLk7tcuT6lyhwYmTSbZXQNjnTj06zOSXV+G27OTHSArtzBw0gphyKT7yM4PBJANgF5ZSfdQ1RtffXAKhEdJeDBqAV9Y/fQZBop78fshWNS/5E61v/RbU3E9uwnJq7v0fOPqJ8e6K1RocLkZF8rJzCtH/Lnb4QV+w/PWsYGEwkbYDpjlSEZScHitc0tJMbDhAJWgckfuR5ipkTy/j38+kjZQ6dVJZR0hr9iXQsXv2gjmff2MTY6gJOPGI0QqmM064zGPoC27ZwVVJnLdALzUG5doJtf7kWd/smAIQTourCn+KJ/IyokYt5koL5Z2Pnl9K+8iUCFWMpPPLjbPvHT3b8hqBo4Xkk9N63SKU0rUQoOvVrWEKhtCBGaL+fnXY7Old+WxPJKasdsfFoX/ly+u+3NqLdKHuL8nVGm+uQEyml8oL/pf6pu/Dqt5Az5SjC046hJdHltzH0M8ZJyzKkFERdzdd//QzNbck7a970Si4+dWqXHTXfV4yrLmDxEaN47KUNoDXHzB7BlDHFQ3IIs21b/Gfpev76+EoAXl2xjVfereF/LpwDe3lwGgyDBSEF67a18v8eWk407nHK/LHMm1aJ7iT11hUsS5LYujrloAFoN0bTC/8gvOCzxDJk4Hhz3CYw/QSKpi5CSYeYhvJPfBuvuQ4rtwhXBIh6+w7/KaVpU87ulv3+XRnKxS4oTzUcAOTOWLTXaJbS4BRXkti2fpdRSIQT3GdatTPaEhIp88lZdAlS+3gySEvCPOMyGeOkZRtScOe/3005aAAvvL2FMxdNOKCB4trzOWvRBD6xaELybWHIDl92te4QVVy3pZm4pwjukVGWUmDbEt/XQzbqaMh8bMeiLepi23KfkR0hIO5rrr39RXYGjW+/7x2K8kJMG1XYrYiaEKCirR3sKtq6o1A/c0oqEq4mQSA1azNOEBGpRvfho9DOLaTivOtoev4e3NoNRA6aR3jKgr1Gs+KEKDnxMrbefS06EQMhKVr0KRLa6fwF+0EpTUxZgAVGNy/jMU5aluErTU19ewd7XVOUktzAAYlVan+XAOxQv1XDQZuW9vRjqW3J5IydHQhL0tCW4OXlNYwfXpDszvX9bolgGgx9gWUJfCG595k1rNvSzIJDqpk5sWyvUTHbtnjx7S3smdVfsmwjk0cVdvqa/eF5ivzR0xCBUNKp2EHenFOIa5uuRJsGkv64n1v8MOGjLiBHuXgyREti75+J5ynikWFUXXozqq0RGc4jQYDYfqJ8hsGBcdIyCNuxSPhJnbS9jTZypGTR7BF8sHFXZ1LAloyrLsT3h2YkrKc4QvDZk6fy4z8vS9mOOria3bvcbVvy6gd1/PJvb6Rsh08dxudPn2aGIRoyBh/B/9z2Ih9uS0ay3lhZyzkfncTiOSPxO3HUlFJUl+V2sI+oyMUS4HVzHVEVouqzP6XphX+ioi3kHX4qumB4SnNxqKM1xFwBBLr0/HA9cAmAU979i9JNktkDC99XJnswABgnLUMQtsXTb27mgWfXEA7afPakKYyuyEOr9JvC83yOmDaMhOvz2EsbKMoLctGpU5NitAO09mzH83wmjSjklquP4Y2VtYyuzKeqNCct+uBq+PPDK9Je99LyrVx86jTMedaQKUQTfspB28nDL6zj2NkjOk0y+r5mZEUeh04q57X3kzVSFcURTjlqbI/qU10fPJFPeMFnQCvi2jYOWhYSsT1EWy3RVcsIVk3ErhhHq2ub7EE/Ypy0PkKInbVL++8QtG3JO+sauOOB5Snb9X94id9cvYiQ1TH8rlyfY2ZWc+SMSqQQWGBOOD1FKSK2YMGMyuQ16yTq4HYWidDaOGmGjMGxO7pikZC97ykmvs/lZ84gmvBJuIqCnACW1j0eI6W13tEkIMn0FKfh/7N33oFxVVf+/9x738yoF6vZktx77xiMC5heAgRCTULYTU8gtOxm03eXJL+UTcgmm0YSQiCQhARIAgTTsQEXbGwM2Lj3KlmW1WfmvXvv74+RxgyyjVVGmpHe5y98mJGeXv2+c8/5nvYEHXC3reTI07+Ox7LGzSV30b/S7PnSoafw93QSEErSFPFYu/4gI8rz22Vl3osBXnx9T0LMWnh9UxULpww67rKn5+rWN+Ou30x9Ylh7YksURwguXzCSPyw+lk0bPbiAgBJ+8a1PyuBIEVuqV4K5kwdhjKWkIDM2c/cEOslaQBsylSDLUVjtz/n0gZCIcnDpHxNizRuXUbjooyRLOiglyBQRpNVYKQnbEG4PL++mGr5I62acgOSNbUf40UNr4rGzZlZy44XjTlh7oIRg6MBcVr3HYHZwaQ7G+G+gqYD2NOfMGsyQgbksXbuPMUMKWTCtArT2cwQ+ncZxJFETm4sb6AZ/MrTh45dN5OU39vLLR9/EUZIPXziOorxTMyv1l7F83o09Xp2zTc4dT0pBtmim+pHvEz20A5mZQ/ElNyNLxhBJwYH1PUX//cuThGvgvic2JMReen3vSZMtrqu5+MzhlBdnx2Mzx5UypOzEw319OofjSIwUSEd1eGKD9TTjKvP51GUTOXtaOcb1fLNbn04jHMWr6w/x1V8u47/uXcnW/Q0I2bVbslKSHfvruPfxDdQ2RKg+2sKP/7SW2sYosofmAvv0DaI2QN5plybEMoZORMtTN9DtCBnS5cjTvyZ6KGaHZFoaqXrsf8iQXTfWa7NOSkf8TFo3IxC0RNrnZ7U5ee2SsoZvfXoujS0uAUcSCkjwuzW7DSFAOA6PL9vBqg2HGFGRzw3njyUgRYfq+VJtBmFvEwh0XOz2FI4jcQ0gYsOwrTYpkylyHMnmfXX86rG34rG7freS//vi2WQ5otPbKZVkyZq97eIr3j7AZWcOJxpN37Wj2GkmYWbMpAAAIABJREFUUmJiQX8g4glypl1AsGw4ze+8SqhyHJljz6AhGiAZpk0STWRvYnMW2kO3NIDT+bFVOQEXGg8TrdlP3uBxRMhMq8xcUrf08ccf5+KLL+a8887jwQcfPOHnXnrpJRYtWpTMTekxlIBLzhyeEBtVWUBQnfxBprUFrckJSkISSKEHSl9AKMUDi9/hL89vYeeBel5YvYdv/nqFX3vTSZQS4CheWrefx5ft5GBNE+J9zvGeRCpBdX2Eb/9+FV/44Us8+MxmhJM676QWwfOr29ehvrb+II7ThVYUaxk1uL2/2ciKgrQtnRBCkBtwyY5WkdW0h7xgtF/PGO5JGqMOXtkkshZ9CkYvpD7iJE0kGxShweMSYkIFUJm5nf6ZWY5H/ZIHOPD7L1PzxE/Z98tbULU70iqrlrS71qFDh7j77rt59NFHCQaDXHfddcyZM4dRo0YlfO7w4cN873vfS9Zm9Dja01w6dxiVpTm8sm4/oysLOP/0IQht/NqlXsQAS9bsS4jtq24k6hmCqaMt0gYjJHf+71JqG2JzCB95cSs/vn0hOUGZEkvARki++stlhKMxGf7sa7sJBRRXnz3quH5hPY0UMHRgLsvfOpAQH1yW26X957qaeVPLWbp2X9xLcfqYUsYMKcBLgb+7M+QGohx+5HtEDmwFQOUVM+jGb1On/aHgPYHnmVZrtuRe12ETYMD5n6S68QdED25HZuVRfOnNhN9nYP3JcGyEpreXHgtYw5Fn76Xo2m/idWDuaW+SNJG2bNkyTj/9dAoKYm91F1xwAYsXL+bmm29O+NzXvvY1br75Zn74wx8ma1N6HONpZo4uZtrIIqQUeK5OCUd/qSQGQdTTBB2JxGL6Sc2btZbCvBDVtS3xmBStlgW+fUmHcBzJ2m2H4wINwNOGR17cwk0XjQfTu2JACKg+2hIXaG2sWH+AKxaOTIlCXNfVnD9nKC+/sZ991TFfs6mjihlZkd9lESm04cs3zsI1FiytHcg9f0yUkmgg6hkCjkJisR281hxHEt2/OS7QAHT9YRpef5rgzCuInsSp3ye9aBtYX3Tll5F4WCEJ2wxcr/PPKOu1r2fTLQ0nHGafiiRNpFVVVVFSUhL/d2lpKW+++WbCZ+6//34mTJjA1KlTk7UZvUablUMvP6/iSCXZf6SF79z3Go0tLnnZQb7x8TmU5IX6hclkQMDnrprCXfe+Fs9UfGjRaCSx90PlSLSNpdSUICWyLamMdxxxr1MggwaxZcOC3PZZlsGluaRS7byyhrs+fQYNzVEcJckMOt0ipmLnt6W8JJfq6gbQtscfSUIIoga++evl7D/chJKCGy8ez/yp5R16KRJC4B092C7u1e4nmKQuQ5/ewxhLowkAbXNJu3jmBrNwCsrwjh5zTsidcQHREwyzT0WSJtKOt2797gLjzZs388wzz3Dfffdx8GD7i/BUKCpqP86kOykp6fxaeKpxpD7M9x5YRWNL7M2ivinK9x9Yzf/cuoCSwuz3+XZq0dnjMikrxK+/ci67DtQzqDib/JwQuVlB6puiPPnqdh59Mfa2fuXZo7jkzBHkZfd+OrxN7AcCqWWZO3OcJDcrEJ93KqXg6kWjGVCY1ctbFqOxxeXDF47joac3xkXbp6+cQsmA1DvXS5K4z3rrHtYcdvnJn99g/+EmICbgf/fEBuZOKWdgB7fJHTuH2hcfTLB+yJtxAZkFuaTrHbovPVtSnfKP3sXRZY8SrdpNzsR5ZI8/A5V1/P2fisclaSKtrKyM1auPzUKsqqqitLQ0/u/FixdTXV3NVVddheu6VFVVccMNN/DQQw+d8u+oqWlMWv1LSdtbaB/BQ1DXGE2IVdW2EInqtPo7u3pcBDCiLCfmht4UwQ277Kxq5KGnN8U/89DTmxg7pJBhpTkdnuQQaJ2/Cl3zvRJK0Bw1PPrSVrDwwbNGkR1U7caE9RZKSX58+0KeXrGbhpYoH5g3gqyASKlz6dyZlZw9s5JwRJOV4aCsTantSza9eQ8zQrB9X127+MGaJgLYDt23QyqLgR/+T2pfehDrRsmbczmmYHDaHsu+9mxJdYQIEpxzLRloPBHkSJOBpvb7P9nHRUrRqcRS0kTa3Llz+elPf8qRI0fIzMzkmWee4a677or//y984Qt84QtfAGDv3r3ceOONHRJo/YlAQIEAo22nxz8pJSgbkMWhI83x2NCBqbX801O8+wHhOJIVbx/L5AoBE4cXcfhoC6Mr8ju2v1XMVuGhpzehjeXac8cwbkhBh+twhICIB7f+6KX4suKStXv56Z1nH3dMWG+gtUEAl505DATk52Wm3IPHaoMEshwBXnsXfceRWOuPVEsGASWZOa6UJ17dEY8pKSgvzsF0cEk3oiU6bxgFl30RrCUqMoj0gxINn+7B2pidSEzupN95k7Qa2rKyMm6//XZuvPFGrrjiCi699FKmTJnCJz/5Sd566633/wE+SCkQAcXSNw/w2yfeYfuhBkQn2/MdLF//1zkMHRhL546szOfLH5vd743ytDZMHFEEQGFuiO989kzmTBrIjgP17D/SjDjFVn8pBfXNLnfd+xrb9tWx80A933tgNVV14Q6biAYCDs++tiuh7svTlsUrdxIMptYRi0Y9osfxBUxllJLgKNZtP8I7e44iHNUvLB0cRyKURDky6d522tNctWgU86aWI6WgpDCTb3x8DrKTbxieZ2j2AjTroO9VmEZIKQgGnbSyvEg1hE1jZ8A+v9ypJN9/4HU27q6Nh/71AxM5a9ogPLfjNyqlJJ6FtmnLDumXRTjecZGOjNcid2aJUQQUv/7b28yfXsGjL26NWxcA3HnDDKaOLMI7wUzPNoJBh0eXbo8tT76L804bwscuGtchIRMMKp5ZtYf7n0o0drzhgrFcPGdoShqSpsT1cooYJbnjx0upb4ot/5cWZvK9m+dh3+cYHw8pBYGAwhh7wrmvvcW7j4lQkt1Vjfx96Xbys4Ncc94YMh2JSeL1LwQgJVbEDGgDwjeDhvS6VrpCluMhmg7TvGkFofJRBMrH0ugGUmIl4Hj0u+VOn64T9WyCQAN49MWtnDllEJ15D25boor/u0tblxrIgMOfn9vE0jf2U1KQyec/NJWSvFDHHj6e5pOXTaQpohMEGsAfn9nEhE+d8b7721pLRUn7C3BwWU6H1yejUc3CGYP529LtcSGRlx3knFlDUlKgnQjHkXgmtsxltE6Jm3MwqHh06Y74foVYbebqd6o4fXxph4SWUJIjjVGeXbWNypIc5k4ehDAmJXzi3o3jSLYfauQ/f70iHlux/iA/++LZSf29bYPbIfZemD5nrk9XCQYE3vbV1Dz1y3gsc+QM8i/4LE1e4CTf9HkvvkhLYY63IqFSyNW9t1GO5G8vb+Op5bsAaGpx+dovl/GLL3VsekXbw+R4RgWn+rh1Xc2McSUMG5THzgP1AFSW5jB/WgXRaMflsIPlx7cvZM3GKiyxWa7K2g4LayFAKoWxFtWDmQwZUKzeXM2Lq/dSUZLNhxaNJjbprHczKRZBXVOkXby+KXrc6+1EOI5iy/567rp3ZTz2z2U7+danz0gd351WtIW/L92WEGuJeKzfUcPUEQP87FYvEQhIgiaMFRAlo08dh5ANc+jlPyXEWratYYCNcsxew+dU8EVaChNQghljS1mzqSoeu+H8cbElvdR6DvQKrrYsezPRsT3iag7WNDGoILPD40uyMwKMrMxn295jXWnXnjOGgBScyv1TaMM3Pz6H2oYI1sKAvBBCm045/bSJmdPGlSJETAR29JBLFZtd+dfnNlN1pJkLzxjGmMEF2CSfPE5A8eLaffzuiQ0AvLXtMKs3HuL7N8/vlp8vRCyL5ZmYp52wp94tqD3NB+aN4IXVe+KZPUdJ5k8t71AWzTWWPz27KSG2r7qR6qMtlOSGUmq+pBCCvKz2djK5WcGU2s7+RHbAw925lprX/oEMZFB49kdw8gYTTqOZkidFiON3ovunW4fxRdoJ0NpgpEAgumSl0BWEMdxyzVQ27apl696jnDF5EANyQp2qR+uLKCkYXJaT0LEKUJTfcYEGII3ha/9yGq+tP8T2/XUsmjmY0oKMUx6nY4wFoynMil1W1uv6pImujPKxQvDFny6JW6+s3VzNbddNZ+boItwknkNRz/LU8p0JscNHwxxtiFCY5XRp2VMIAUpy/+KNrNlUxfBBeXz6g5PJdERs/u37YIwlPyvA92+ez19e2ELQkVx77hgCCmw3aNeUHDZvDNeeN5aV6w/GpzAMG5TH0IG5vmlzL2Gqt1Pz5M/i/z740H9R8an/JSJyU6IsoKtECZF/+uXUvvBAPBaqHIdRwXRssOxVfJF2HKSjWLxiJ0+8soPsjAD/cukEygozO2yl0FWsBVzNhCEFTBo2AM/TSS30TTeEtXziskls37eMI/VhhIhNEQgqge3EuKs2kTV3YhnzJg/EdTu3v1PhJiulYG91YztvvMdf3s6k4QOSOhpJSMjJDAKJ4jkUVF3fN1Lwq7+9FbdNWdtQzdfvWc53P3cm4hQlsdWG0rwgn/vgJGLeNqbD49ECUnD9+WP5798eW+6sLM2hOD8j6ZnKjmKMJTsg+dm/LeLt7YfJzQoyfFAewnQuy5vuBIMKAbhe79QPGjdC47rnEoPW0Lx1Nc64c1OuAaUzRFxL9viFlJYMoXn9ywTLR5M55nQa3CB+Oq1j+CLtPQQCsdb8Xz56zCbkq611Tr21s2JZPF+cvRdjLBmO5H++MJ/msEdGSMXGPHVRyPaFm6S1kJXRvvYjOysQswRJ0sxWIcAzlmvPG8N3f78qPipq9oQyskJOlwWMFYLX1idOKKmubSHqGUIdSGLFsm6d3weepxk+MJcf37aQ51fvpqIkhzmTBnZ6eTvZtDUNTR9ZFPOG64Ysb7qhlCBHhWlY9zymvoacmRfihQYQ1j07zUMohVNY3i7uFA6KzVvtIzS5DmrAWDLOHosxgvqoxhdoHccXae/BM5bnVu1OiGljeXPrYU4bW9Knijv7Am2ZrixH+IPS34W1lsLcEBOGD2DDjiNArPbqposnoEheZ6/jKJas2ceeqga+e/M8Nu2spXRAFtkZDrIbfq81lrKibA60jhuC2N8VdFSPDxG32lCQ5XDdOaPjFhyp/gjqz/evbBXhwH3/gW6Mdcw3rHuBgR/5b1Tu0B5taBHSIW/WRTRveBWvvhqAUMU4AgNHEu5jA+O1Nj19WfY5fJH2HpQQlBdn88bm6oT4oKLslGut9/E5Kdrwbx+eyZ6qWEH7lJHFBGTnp1acCsZYhg7K5b4nN/Dy2n0MHZRHbUOY8+cMZXBJ12dUBiTceu10vnnPciKuRgr4xOUTUdheyTUbY4mkmZlvKiGVRBN7EXakQHagCaQjKCWJHtweF2gxLHWv/pXci75ACz2bTWvUmZR99NvohsMIJwiZ+TT2g6VApWSvd3inG75Iew9aa648exQr1x+kpi4MwPQxJZQXZ2NSrNbEx+dkWGvB0wwpzmJYaTaeZ5LuDqG1YdjAPGaPL2PVO4fYsucoQwfmct7sIe9rCHwqeJ6hrCCDX3xpEbX1YfJzQiiBX6uZhgglWbb+EPc9sZ6oZxg9uIAvf2w2wibDU88i5HGE2PFiPYDWhnodRGRWABbrQroINMeRMWN0z5yy4Mp0NAHTTPTQbrJLh+DKLFq83tn36YYv0t6DtTEXl7tvW8ihI81kBBXZGYEeX0rpTpQTs2IQdG3ot096YkxyshMnRGs+e+VkPqEn4WlDZlDhCNCORAoRq4fqwua01RwOyA5g+2nxe18g4hnu+dux2t8te47y52c3cf15Y7DdfI/S2hIoHYZTUIZ39FAsKCQF86+lxTr0lkBKNwuU3ICHe2gL4R3ryBw5E1UynEb35DIi5Fj0jteoeupX8VjRhZ8iNOKM1pmaPifDF2nHQWtDyYBsdNRtNTpN/VqTEyEDDv94ZTsvrN5DUX4mn/7g5I478vv4dIA2c+AAMa8/AWw/2MCTy3ZSUpDBBxeO6hZj2zR7vvm8CykF+w42tou/s7MWT9ukdB836SADP/ItmreuQjfWkjNxPhGZc0rWLT6xbFj9q3+i8Y1YZ2rD64vJO+0DZMz6IGHvxEcsJKLsf/73CbEjL9xP+ciZRAgldZv7An3EOS85pPtDwAkonlu1m0de3EptQ4Ste4/ylV+8iu7UUCkfn44TCCg2763jm79ewWvrD/Lkqzu543+XYlLRT8ynxzDGMqQsp92Uh6mjiwkkaaqK1pa6aABGzseZdjkN5BHpK+axPUBAuDSueyEhVv/6UwSFe/IvWouNhhND0TBYP1FwKvhnaB8m6hmWvrEvIeZ6hj2H6mM2DD4+3YhQEiMFjnOs1sTVlseWJA6dr2+KsvOAfw72dxwpuPOGmeRmBRACZo0r5cqzR6GTXI7huppo1Ev7l/Ae53j76xT2oYdDxrApCbGMoZPx/IW8U8LfS30YJQUVxTnsPtiQEC/uxMgkH58ToZRkf3Ujv/nH2xysaWbB9ArOmz0E43oIAZmh9reZzAz/1tPfsdoweXghP759ISBiZsR+vWzK4hIgZ/JCGt98MR7LnXkB0feZxdmiAxR/4BbqVvyNyO71hIZMJH/OFdT3g27W7sC/U/ZhhLXcdOkE3tl1hKMNsaHSF50xLGYq6tek+XQTWgj+7adLqW+KTTd4cPFGXNdwyRlDwRpuvGgCb219Ga/1nBtZkU9pYZbfLe2D9kxC8UVXHtnKkXg2JveksBhf8HUrLZ4ib8GHyRw5g/D2N8gYPQtn4GgaoydfkLPWUhcJEDrtarJmXYaWIeqi4Au0U8MXaX0YYywZSvKjWxdQ3xQlK8MhIIUv0Hy6DSGgpi4cF2htvLhmD+fPGYI0lsJsh5//+9ms2VhFcUEmIyvyEcb4MzT6CFIKpBS92zWuJEvXHeChZzbheprzThvKteeOwbi+h1130hB1cAZNJVQ5HU+bDpnvRlyAUPKctPsovkjr47R10OWFVKyA0+9k8ulGrIWcrPbLHSUFmbSVnBltcYAzJw3EGNsvRxL1NYSIiTMjJPtrmqmubWbCiCICwnZ4DmpnfrfjKCzH/PGONEb57ePr4595avlORlXmM9ufEtPteJ7x92kP4os0Hx+fLhF0JOfPGcIzK2Pj1EJBxScvn9Ru/FQqzERVSmKT5Grfb1CS+haXgKP41WNvsG5LbDqLoyTf+/yZFOeGkuYqr5QkrC1/eX4LLRHN5QtGUJgTZN3W6nafXbnhEDPHliZlO3x8egpfpPn4+HQNbfjYJRO5bP5IjtSFqSzNQXLqbuQ9gVISD3h7Zy15OUEqS3JAG7+BpoMIJbl/8UZeW3+Qf79xdlygAXja8LsnNnDH9dOT9vtd4La7l9DSOopryZo93H3bQiaPLG732UkjipACf1ndJ63xRZqPj0+XycsOEm2JkFOShdE6pR6MUgqaopo7/ncp4Wgsmzd6cAFf+dhs8JsXOkSLa3jx9b0U5oZoCbev92pojmItSXFiDAQUL791IC7QAIyFx5Zs4+MfmMglZw7nqWU7MBamjy1hwbQKvBSuSZNSEJQagcEl6C8h+hwXX6T5+Ph0C9am6JgbKXjw6U1xgQaxEUT7DzdRMSDTX/o8RYSAxuZYg0htQ4T8nCAFOSGONkbin7nkzOEEpEiKk4a1EAqewM7FGD501kiuPGskxoISYFNYgAccyHBrqVvyMLqlgbzZlxAsGUWz5z+SfRLxzwgfH58+jbFQ1xRpF69rilBZlIVvBXBqWBvzWMzLDlLfFOXex9fz1X89jcXLd1Fd28z5c4YycfgAvCSJI8/TzBhTQlF+BjV1MQf7jKDiigUj8VrnwQqgzUo5lY9qlgiz774vYd3YeRne+Ral13wVp3isn1HzScAXaT49RltHmD8rL0VRMtYx15qJEMb0CVd2Rwg+MG8Eb2+riccyQw7jhgxA69TNtqQiylq+f/M87nvyHQ7WNLFlVy0fu3gcnmsIKJH05hBpLf9zy3zWbKomHPWYM2kgDiS9o7S7Ce9aHxdobTSsfpLcC0fgoU7wLZ/+iC/SfHoGJWlxDfsPNjB0UB6OwPdrSyGEo3jw6Y08v3oP1sKs8WXc/KGp2BSu6TlVPE8zZnA+X7lpNk+8soOCnBDXnz8WiU2p2rmewHEkBoESneu21dqQoQSfvnwi2lqCUuC11oi5PbAz25pRZo8tQbT+Del4DGV2fruYys7HCn9So08ivkjzSTpCSZ5/fS9/WLwRACngyzedxpiKvKTP6fN5f5SSbD9Yz3Or9sRjq985xMoNB5k7oSwlrDO6ivUM4yrzGX3NNIQUYEzcY6s/4DgSF0GzZ9i+r5aq2hYWTquImQp3sCYv9nmLBLxequdL1pJqT+GUDCVYNpzooR0AiFAW+WdeTYMnSe2FWp+exhdpPklHA398ZlP838bCLx55kx/cMi8pXWA+HUMpyTs7jrSLv72thrkTynphi5JDW62P7T/aDACpJFX1Ee7+41r2H25k+phSrr9gLD948HW++OGZYNJb8KQjTV6Q4qu/gq7Zi25pJKNyDE0mA+v5As0nEV+k+SQdrS36PW/cRxsjCOFLtFTA8zQzx5Xx8PNbEuJnTBqYmt2aPh3CCME37llOc6tlxppNVQQDkuljSmkJe2Q6/nXY0xhjaYgGkPkjEAWCuqjBz6D5HA9/Adwn6QSUYOjA3ITYvKnlCF8ApATGWEoLMrjpkvFkhhyCjuSKhSOZMHyA32nWB2hqceMCrY11Ww4zsjIfpdLjEeA4EislUkmk7Dui0hibUqbPPqmHn0nzSTrSWr7x8Tn88ZnNbNlTy6zxZXxg3gisl/5F6X0Fqw1nT69gwbRKLBYlBKYP1KKdDMeR8WJ3R9Jn6yOzMwMoKRKy2cMG5eF6hqAjIMU7I2VA8fyafSxZs5fy4hw+dsl4MpT0xU0fQ0pBhoziSIs2grBN3nixdMIXad2AlMI3xDwJxliksHzkgjF4xhKQEt0Hugb7Gm0iRdD3R+lIJThQG+aev73Fkfow58wewqVnDuuTwlRYyy1XT+Pnj6wj6hmK8jP43FVTyM8Ool0vpRfZHEfx5PJd/Pm5zQDsPFDPhh01/Oi2Bb28ZT7diVKCbJqoefz/CO/ZQGjQSIo+8AWaVUG/t2zyRVoXEEqiLeytbqKsKItAa9eYT3usjXXYSUD7hcp9hlhZYfotP2kEX/3lMrzWN/W/vrCF7AyHc2ZW4vUxoWa1YdqoIn7xpXOIepqMgMKR4EbbvygJIVBKoHVqeORFjeWF1XsSYkcbIxxtiFCY5aTENvp0nQwR4fBjPyRyYBsAkQPbqHr4O5TecBcNBHt563oXX6R1EuVINu2p47v3r6ItifbpD07mjAll/aq136f/IhxJY9ijsclFBh1UmixBKSXYvL8+LtDaeHndfhZMK09Dyfn+GG0QQKh1XJJ7vA8pSV2zy9Y9Rxk7tJDsDAd6+HjGRKLEEMsAWguFeRlUH21J+FxWRsBvaulDKGHiAq0N7+ghhHHBF2k+ncGz8LNH1vHuVc7fPb6eORMG9t5G+fj0FEry67+vZ9lbBwDIzQrwg1vmk6FSf+nfGEtpYWa7eGVJDqqfli5IJXlm9R4eevqYVc6nrpjEmZMG9litnlSCiIZHn91MXVOUyxeMoKI4m09dMYkv//xV3NbtOGf24LSopfM5dayVOPkleHXV8ZjMyAHl9P3ai/fBF2mdRlDfFE2IRD2DZ4y/U336NEIIahujcYEG0NDs8sBTG/nkZRMgxUWOtZCbGeD8OUN5ZuUuAAbkZfCRi8Zh++mDXyN4+LlEC5YHntrInImDeiyzaITk9h+/GO9EXfH2Ab792bkMLs7ml19axM4D9ZQUZpHTCxk+n+TSQojiy2+n6uFvY8JNiGAGxZffRovp31k08EVapxFYZo4tZfXGqnhseHkejvTf8Hz6NlISH3D9bg4daUYbmx7Lhdpw3bmj+dCiUbREPHIzgyhMvy1Stta2W/6NHKdmLVk4jmTttsPtrEIee2kbN185GaENIwfmYq31x8n1QTzPIrLLGfTxu7FeGOGECNsgrpecu4kQEAwIBBD1SOnsuS/SOokwls9fPZW/PL+FNzZXM2ZoIR+9cBzS9r95gD79C60tIyryCQUUkXcV2Z87ezABKfHSpTFEx7LeuUEFWpMmW50UpIBpY0p4Y/Ox5aa5U8qR2B7p/rQWsjMC7eLZGQ5tntep/CD16TquBlcHgSDHL5rsHhwFWaKZ+uVPYFrqyTvtUrzMkuT9wi4ibBpXX9bUNCbtwi0pyaW6uuGknxECpFK42uAogdXWL2ZNMqdyXHySj1SSo80uv/3Hemobwlxw+lDmTy3vkxYW6UpHrhUhBMJRPL1iF29tP8yMsaUsmjkY63k91kEpHMXX71nO3qpGAEJBxd23LiArIPuUQPPvYT1DMBjLQblu4jmcH4yw/9e3YyLNrRHBwBu/TdbgsUk9LlIKiopyOvw9X6SdgL58ITmOxNjYspXnplfery8fl3RDKYkm5jpTXJjJkSNNvb1JPu+iM9eKE1B42uJIenzahJQCKyWbdtdS3xRlxrhSHCymjy1B+/ew5OIoyJZhGt98Eeu55Ew7hxaycLXAcSRq9yoOP/HThO9kjTmN0stvpaYueSm8zoo0f7mznyEDipUbqlix/gAThhdxzqzBWE/7GUCfDtNmtyEhbcYLJQOlBBpB2DUEHYkSpG3dVJtHXG8MXzDGgtFMGFKAEALX1X7piE+HyZYR9v/2Tkw49tJYv+oJyj/xQzyRi7UggqF23xGBDEjRWdK+SOtHSEfy8PNb+OeynQC8vrGKtZuquOP66X6zg49PJxACNJKv37OcfdWxZbrz5gzh+nPHgDYIEXPN19r0qSW7ZOLPiz0+oYAgSBgQRAkSSWLdVroSCCiaNi6PCzQA60WpX/UkoTNuIBI1ZJePwSlJ2nYXAAAgAElEQVQowzt6CADhBMk/8ypkIARET/CTew9fpPUjjBU8s3J3Quzt7TVoA6qXtimVEEKgHBmrX7D+4GOf90cqyZ9f2BIXaADPrtzNRacPY0BOkLC2rFx/kIqSHCpLckBr3yXfp8NkBzwi7yzl4LJHwFry515F9oSFNLn+I/zUiWXKmnSIso98i8iuN9EtjWSNOY0Wm0lGL2/difCPcD/CYgkFFV7LMfEhRaw2rV+3thFbrmvxDH9dvJHGFo8PLhxJaUFG2i5b+fQM2sTmSb6XuqYITWGXb96zPG4bN3NcKTd/aCp4/fxi8+kQSgls7T5qX7g/Hqt98QHKBo5AFYz0Xybfhetq8sedTt0rD8cbA4QKkDf7Ehpal/K1ttTrAM7g2QghqE/xZqf+W0jSD1AqVijZhiPgxovGJ3zmornD/ZOAWMf3bXcv4blVe1jx9gG+9LNXqK4L4wQkOIoWbbFKIfpx7ZVPewJKcOaU8oSYFFBZmsvvntiQ4Ov7+sYqmiM95z3WnQSDTrxbzqdncRxF88Zl7eLNG5cl3N99YjSZTMo/8SPy511N3ulXUP6pHxOWOe0y2J5ncFNcoIGfSeuTCCFASXZVNVBd28KU0SUEBGjPMHt8KePuWMibWw4zekghZYWZ2H7+Zu84ipUbqwhHE/fDY0u28dGLxvHFn7xMc9gj4EjuuGEG4wfn97mOM5/O4bqaM6cMoqYuzNMrd5GXHeSTl09CAk0t7YuGoq4hy1Fps+QplcCzgn+u3IUxlnNmDSEg8ecT9yBaG0IV42hY83RCPFQ5rt+aL58MT1vqdAbBaZcjBDREe85GJhn4Iq0voiTf/8Nq3tlZC4CjJD+4ZR4DsoNobcgLOZw1rTxWzNzPBVoMGxsm/R5yMgO8tGZf3AXd9Qw/+fMb/OyLZ9Pv14d94hhXc/m84Vxy5jCwEJCAEHxg3nB+84/18c+VDciiICeYVi9FHoJbfvgSLa0ZwMeWbOOnd55FQJDWD750wvMMWUMnkzlyBi3b1gCQOWIaoaFTqY+mz7nU00R7cGJGMvFFWh9DCEFNfTgu0AA8bbjvyXe47ZqpQGwETDqkeXsKzzOMHzaAQcXZHDgc6wrKDDlctWg0//7TlxM+2xLxiHqaYGp2a/crpBQgBNpCUIHbi55/2tPxcVhtzYnzppZTkJvBi6/vobI0h8vmj0RamzbyPhhULH5tT1ygAUSimsUrdnHVghFE0nTpNh1pcB3yL/gsA2wsO6tFgAa/aaBf4B/lPoYQtJt/B7GlF2PTZK5iLyCt4TufncvGXbU0NbtMH1uCkoLBZbms314T/1xpYSZBR/oDnnsZqQTNUcMDizdypC7MhWcMZdrokpTKUhlXM3XEACYOK0QJgeel2+gpgTlOusz3VOx5rIUmLwC0H53l07fxqw77GMZYKktzyMsOJsQ/MH84AZl+Ei3mMyVjWZMkorXFupqJQwo4bVwpQhvQhtuvn87M8aUEHMm4YYX85ydPR/XINMPk4DgKlEQ5Mla7mKYYIbnzJy+z/K0DbNpdy//++Q3Wbq4mEEitW5rraqw2eCkkHk+VaNTj7JmDyQwde5cPBRQXnT6sS0tJUsZqZnEUVkq/+N3H5yT4mbQ+iLKWH35hAX99cQtVtc1cdPowRlfmp51JpFCS5qhm/aYqRlTkU5SXfCebd+8jY2LjcT5/5RQsAmEtSti0LdYVjmL9rlqeWrGTkvxMrjl3DBlKpl0Lv1KCrfvrEpbhAJ5avpOpo4r8bHE3EhDwkzvO4pnXdqGN5YI5QwkqMJ3UnFIKtBD89OF1vLGlmsrSHO64fgYDcoL9thlBSkEgoLDWEvVrzHzegy/S+iBaGxwBN5w7GmNBifRz8XYcyZqtNfz4T2vjsUvnDecjF44/ybe6n5hL/LFl4nS9hTqOZO22Gu7+45p4bOX6g/zkzrN6b6M6iTGQn9N+tEthXggpBDaNM52phmm9l1wxbzgQy651VqABGCH4+SNv8saWagD2VjXyjXuW85M7zuqGrU0/MhxNIHKUxtXPo/KKyZ8wj0adkXYvTj7Jw88z91GsjVluxJZa0u+Cd63g3sfXJ8T++eqOdtmTVKBt+cZFpKyXmmssT7yyPSHW2OKy60B90peSuxtrLUV5GUwdXRKPZQQVN140AeHXS3U71kIk4hGJdIOVgRCsaxVobTS2uIT7SCdeR1BKour3s/+3X6R+9T+pfeF+Dj7wVbJVpLc3zSeF8DNpPinJ8RogjAVtTEq9WQgBWki+9buV7Nhfj5KC688fy6KZlSnVXCCFIC8r2C6emxVMTysFrbntmmnU1Ic50hBmVEUBCn+UV8pjLMMG5bN179F4KOBIQkEHdHLz1IGAQsrWwe0pMEc1KKIcfeVheFfm16urxju8G1kwKiW20af3SaXnnY9PHInlvNOGJMTGDCkkI8Vcz6WSPPzcJnbsj40G0sbyh8UbaYlqUqkuX2K58ZLxsc7UViYMH0BRfkZadutZC1ZrinKCjK3IB619gZYGKAG3XjeNAa31paGA4tZrp6NI3rGTUiADDiveqeIPz2zmUF0kJbPdx0ihG8cpIKUgx3HJk03kOS1kOf0vK5pMUuuJ55MSKEfitT63BSCt7fG3OuMZrj13DIPLclm5/iBjhxRw0dxh5OeEqG6J9ui2nAxXWzbvOdouvq+6kbEVeSnTZKC1JT8zwM+/tIj1249QnJ9BeXF2SmX7OoO16dvI0R9pM9P+n1vmE3E1wYBCYZPaNGCE4Lv3vRa/Tp9avpNbr53GrDElveoXGbVBCuZdw8Gdb9OWTXPyS3GKB2Oi6XNO5zpRqh/9PpH9WwDInjCX/LP/hQbXtwvpDnyR5pOAVIKDtWF++NDrVNW2MHZIIV/8yMzYKJieFmqux7zJAzljYlnMZyoFDXiDSjJzXGk8kwaxJdBhg1JHoLVhdGypePrIARhj/WkTPr1CW8YzJAGtO5VDk45CWwsIJBZ7EpHXEtXtXqT+9Oxmpows7tWcldYGL6+c8k/8kMZ1L6DyS8gedwaNOgRJzCx2J4GApGn90rhAA2jasIycKeeiCkf52e1uwBdpPgkYIfmv366I14Nt2l3L//3lDW69Zhr0QtdcmzBL1QS652kuPXMEVUdaeOXN/eRlB/nMByfjSAGnINKEEDiOxJieq6dqayRRKuZR5XnGv5n6pA1CKf65fCePLdmGNpazZ1Ty0YvGY9zj3yWOJ8RSpRQh4imiqojg6ddhjKUuqkkXgQagMDTt39wuHjmwFVk0Otllhv0CX6T5JBCOeO0K9t/eVpM6d7UUxHoe/3LJeG66dAJYi2odZv9+CCVpDHusXrefYeV5DBuYB1r3SCG/cBTbDtTz+sYqZowtYUR5fkq59fv4HA8pBQdqm3n4+WOZm+dX72HiiCJmjz3+8mVGUDF2SCGbdh8blXfduWMJKkEvThKLY61N6ogtpWJm4J7X9XuLUpJMEUZaDysVrswke/yZNG9amfC5zJEzaEpDV4FUxBdpPgmEgg6hgCLyrpvdqMEF/jTlk2AtCbVdpyJ1nIBkw646vnv/qnhs9vgyPnvl5KTXiUkleeSlrTz+yg4Annx1B5fMHc6Hzh550mUjH5/exnFkOwsPgNc3VjFrbMlxvhGrqf3yx2bx+sZqtu8/ysLplZTkZ/T5+cVCQE7AxavehVu9h5xRM3BVDmGtOvXzpBRk23qq/vJd3MN7kVl5lFx2K4HBEyiY9yHqXnsSGQhRMO9qVHYepE7pcFqTyi0uPr2AtIZ/+8hMsjNi+n1gURa3XTs9rUchpSKuht8/uSEhtuqdQ7g9UMemgX8u25kQW7xiZ0otsgQCCqX87K1PIp5nmDyyuF18+piSE9aXGWMxrua0cSXccO4YSvNC/eJlJNtxqf3nz6j687eofeH37L/nNsThrZ0ew5Uho9Q8+TPcw3sBMM31VD3yfYTVGDdK2ZV3Unzxpwnveosjz95LhtO3RXBP4WfSfBKwxjKqPI+f3HkWnrY4SuDgd9Alg8hx3uQ9bQgkXZy0//mpcnSFkkS15bW3DzKoOJshZbk9tgTsk/oYYykvzuaKhSN5/OXtGGuZP7WcWePLcE9Qk9ZGX8+cvRfphWnZ/sa7IpbaF/9A0dVfw6P9xI73wxGW8L4tCTHrRrDRFupX/oP6lf+Ix4UKUHiORwvtvRl9OoYv0pKNkhgLxlocKZHWpLxJodEGAQQAtE3bUUipghACoQSetgSVxPM0AQWXzR/Bfe/Kpg0dmEtmUCV/uRPL+XOG8NTyXfHYebMHI+ldseY4kr01zXztV8vj18jUUcXcdt108OvlfFqxnuby+cP5wLwRgI2dt16qthb1PEpJclQY09TU7v/ZaLjT5cWeFWRUjiW8+9gkGBHMQAQzQCYOdA0UlZ9K35TPKeCLtCQiHMWDT2/kuVV7AJgwbAD//tFZYPwbSn9BKYGL4MGnNrJ1bx0zx5VwxYJRaM/jrOkVDCzO4qXX9zGiIo/zThuC0Cbpy45WG645ZwxTR5ey+p1DzBxXyvihhb1uyeEaeOjpTZw9s5K87CBrN1WzbuthGltcsgN+ZUZfQDkS11iUEIgu+C9az8Tzwb4WSCRbRTjw+/+g5OLPEBhQjntkf/z/5Z12KVGRQWf2WtgEKbrk81Q/+n2ih3aicgoovuw2XAIMOO/jHHnmN2ANMpRF0SWfJ0wG6dSpmqoIm452463U1DQmLStVUpJLdXVDp78vpWDfkRa++stlCfEbLx7PeTMr+13qvbvo6nHpcZTkP3+zkt2Hjm3zvKnlfPzSCVhtcByJRSCExevhVjPHkSglY35NXezE6o7jIhxJXZPLM6/t5khdC/OmVXC0PsK4YYUUZQf8Jc8OkkrXihCAo3hsyTZWbTjEiPJ8brpkAkFJv7N/SeZxUUoSOPQW1Y/+AKdwIKWX30rTO8twaw+SM+ks1KCxNLqdz80oJcgUUSQeFkmYDFzPkuFoQsLDRJoQGTm06CDp9ohL9vUipaCoKKfD3/MzaUlCKcmW4zjRb9xVy6IZlb2wRT69gattgkDLDDnkZQfRNiaStLZY2zsPKc/rujjrVoTgv3+7kiP1YQBWvH2QW66eStmALNyw28sb59MVhJL87okNLFm7D4ADh5vYvq+Ob3/mjF7esj5I6/3Eqz3IgT98k6wxp5E1ahaichKN4a696WhtaSRAazEMbRm5sKcIo0CG/K7ObsZfQ0gSnmeYfpyW8LmTB+E3rfUfHCVwWg94XnaQ//rUGWhj+cY9y7nvqY0YKZDSPyGkFOyraowLtDYWr9jlZ537AAbBK+v2J8QO1DQRSaWXhD6A1oZgxVhUTgEA1ovS9M4yAqVDifjvOWmJL9KShLWWvMwAN189lbzsIKGA4oqFI5k2qth/6PQjJPDhC8cD8MGzRvGX5zfz9Ipd7D/cxEuv7+Wue1/D+EbBWBvz6HsvGceJ+aQf1lqKCzITYlIKgk7nPLt8TkyTDjHopu9RsOA6cmdeSPnHf4iXWep36Kcp/h0wiVhtmD22NObhIwQKi+7m4mwhBIFAbNmsv9V2pANWGxZOK+f0SQORQnD/PxO90XYeqMcztt9fiNZaivIzGFVZwNa9sTIBJQU3XjwOxakZBPukLo6Am6+eyn/9ZgVeq1i44fyxsbmbvbxtvYFyFJ6xCIhNKOnGe7fWljodIjjlUhwBjVGN9QVa2tLfnw1JR3s63oXU7Q8aKakPu6xaGyvEHV7ec2OFfDqANoRa78b5OSGONkTi/yvgSJSU+EPuQBrDV2+azda9R6mqbWHW+DKCUvgvH30A7Rkqi7P51X+cy77qRkoLMwk6sl+Yyr6XusYIf31pKy+v20/ZgCw+e+UUCrMC3X6eR6O+i0BfwF/uTFMcR7F+Vy23/mgJf1i8kf++dyW/ePRNrPQPaaqiBHzuqim8uwTtpksmIPtlLqE9xlispxlTkc+CKYMIYLGm/z3E+ypWG4TWDCnOIihIuh9gKqIcyV9f2MLjr+zgaEOETbtq+fLPX0UnoeRBStHp6QI+qYOfSUtTXGN54D1LZ69tOMQnLp/kH9QURXuG0RX53PPlWDZhYFE2QSX6ZTbhZGht/MRiHybVzby7glISIThh17RrLK++p4GiJeJx+GgLJbnBblkFEQJyHBd9dD9e3WHyhkwgTAZRz699TUf853m6IiB6HF8tbSyOfy2eMo4jcVtvjI4Q3V4z+F6sNkhgaEl2LHPk14r4+PQoUgqMEMQqwiyBk4iqjvxMKyVb9tXR0BxlyqhiHNrXmkkhGFScTfXRloR4fk6I7rIszXZcjjz5E8I734oFlMOgj34bnTnILx1IQ3yRlqY4Ai5fMILf//OdeGxkRT4hR/n1TaeKkqzadJgHFr+D6xmuWDCSc2cPxvaA835fzib0F5SSeDbmFCUE/ozbNEAIgZGSu/+4lre2HaakIJNbr5tO5YAsTBeW1q2SfOOeFexp9UTMCCruvn0hGVIkiC+F5TNXTuFL//cyDc0xT4wPnT2qNaPe9XNHCKCl7phAA9AetS/cT/6lt9Ec9zfzSRd8kZamaM9w1oxKyktyWLJ2L6MqCzh7ZmWPjBXqC0gpqG2K8tO/HBtA/ODTGxkyMJfxg/NTy+TVJ+VQStIU1Xz3/tXsPtTAoOJsvvTRWUkpAPfpRqTgN39/m7e2HQag+mgLd/12Jb/40qJOTzBSSrJlb11coAGEo5qHn9vMTReNT8jOa20pL8nhf+84i7rGKDmZARxJt5U8CCEwkeZ2cRNuRPSSabZP1/CrCnsAKQUoiScEVimk6p7dbj3N+MH5fObySZw3sxLraj9Dc4o4juS1DYfaxZeu3UenJxD79Bs0xAUaxBz0v/W7lb5VSIpjLLy59XBCLOJq6ps6b5MvBDQ2t3eKbWh2j7uEqaQAT5OfoVDWdGtNqjEWp3AgKjs/IZ478yKiMvME3/JJZfxMWpIRAoyU/L/fr2LLnqM4SvLRi8axYGp5t1ycyc74KCWRUuB5pttqJlIBrS2jKwvaxccOLcSXaD7vh7EkjPsCOHw0jKutv6CUwggBoyoLeGNLdTympCA3K9DpblPPM0weVUxmyKElcsz24oMLR/bKvaRJhxh44/+jbvmjeEcPkTvtXJyKiTT28Gxgn+7Bz6QlGakkf35uc3yOp6cNv3tiA+EUv2CEAOEodhxq5JnX91If8aCbMoCpgNaG4eV5nDF5UDw2bkgh86eV+xMhfN4XIWBQcXZCrCA3FB8B5pOaSGv57FVTKG89dhlBxW3XTe/yg1Bh+dFtC1g0azCzx5fxrc/Mpbwoq1eWvrW2NJgsMs/8CHkX34qumNGloeo+vYuwaZweqalpTNryXklJLtXVDe//wffBSsldv3uNnQfqE+Jfvek0xlTkpm6hsZL85h/rWfbWgXjojutnMG3UALxeFJjddVwg9qC1UqJtbJkgoATSWn/JuBN053FJB5QS1DZ73HXvSmrqwhTkhvjyx2ZTlh/CpMg13d+OyamilMQDPG1xlERhMd0gpoQQSEdiLQh74gkw/nFJTZJ9XKQUFBXldPh7vrxOMo4UTBtTkiDShIChg1JYoBHL/L9boAHc/9QGJn5+Xp9ZDrQW0AYFKABt+3XTRTDoIETMqTx9X916Bq0thVkBfnDzPFxtcZRofdj7O647cAIKTxuUFBhtuvV81NogILYsrXW3XfPWWrSfhffpZnyRlmS0p7l8wQgO1jSxcv1BcrOCfOqDkwnIjrdcq9blxp5IoevjZJMiUf8G1BdQSrbaRsQegEKCZwVPLN9J1DNcMGeob7J7CrRdh7GHff8W+J1FCAFSYIUAY1ECrBQs33CIpWv3MXRgLledPbrV3sTfw6eCELGJNBYw2vgrA2mOL9J6Ak/z6csn8cnLJ9MZ80SlBEbEjBKjrmbcsAGok6TTO4NQsWW/qKfJCCgylWBkZT7b9tbFP3PZ/JE4Uvg2bGmMUJLdh5v4+9Lt5GUHueac0WQ4ii/84EWaw7Gi5yde3s5P7jyLkMTPqPkkjZiprOQXj73J2k3VDC/P498/OpPnV+zhT89uAmD99hrWbKriO585s5e3Nj1QShK18NhL26hrjHDpvBEU5YX65QiuvoIv0nqAtmW1tmXCjo69NVLylZ8v40BNEwB52UF+dOuC2Ftnd4wRUZK/vrSNJ1/dAcDAoiy+9em5fP1fT+O5VXvYuqeOBdMrmDC00E/ndzOBQOyNF2t7pFN3d3UTX79neTy2/K0D/OjWBYTflSUtKsjkzW01zJs0kHC4vbWAz/vjOArXgiA2szXZkyzSESsEP/vrOl7fVAXAlj1H2XWwgcUrdiZ87mBNM80Rjyx/lMr7ooXgjrtfihvlLlm7j+989kwqBmT6mcg0pe+06/VRHEeybsvhuEADqG+K8sSrO3Ac1eWfLwTUt7hxgQaxm+Ifn92MMJYLZg3ms1dMZNLQAoz/oOk2pBSIgMNza/bxq7+v5509dYhuOJ4nwwj429JtCbGWiMf6nTWMrMjHUYI7rp/BjReNp+pIEzsPNSJUcrepLyKUZPmGQ9z+4yV87gcv8OTyXUk/tqmKlALhKJo9S5NrEI6K+UYSE2lrNlclfL6x2SU3K9ju5wQD/qPq/VBKsnHnkbhAa+ORF7f4S/FpjJ9JS3GEEBxtjLSL19aH6Y6VKCklBw7Xt4vvOlCPp63vUp0krJR8577X4tYsr765nxsvHs+5MyrxkiSGJRz3AViYkwHAFQtHsWl3bVyw//WFrVy9aDSXnDG0W7rf+gNSCmoaI/zi0TfjsYef38zwijwmDinod5MsrJJ89/er2bS7FoDh5Xl84+NzwGistQwuzU3wm3tx9W4+efkk/vPXy2krpVo4owJHCvCbMt6XULD9Iz0UVLFO9l7YHp+u47+epDiuq5k7eRDOezzKLps/olsenFobRlYUxN9u25g7ZRABxz89kkXENXGB1sbflmzDTWIRmDWWa84dQ0bwWFZnyMBcRlTk8aUbZ3HWjEoWL9+ZuE1Lt/ku+h3AcSSrjjPJ4tV1+/vdJAvHUbyxuTou0AB27K9n+VsHCQQUAQG3XT+dnMyY/a+jJOfMHsqQ0mx+8aVzuO266fzglvl87OLxfk3VKaC1YUR5XoJ/n6Mk1503FvzmgbTFz6SlAQEJP7ptAX96dhORqOZDi0YzIDfUbdmNgLT85ydO51ePvcXRhjDnzB7CopmD8dyOVs/5nCryOPo32Us6xliyApKf/dvZvLW1htzsICPK8xDaII0lM+Rg3iMSY12+3S8u2oaTa2NRSqCgT2TrtLaMHVrYLj5uWP+bZKGUaOcPCbBjfx0Lpw4iEtEMyA7wkzvPoiXikRF0kFiMZwgAM0YVYUzs372F6Ka6355CWsN3PjuXN7cepq4xyumTBhJstTHxSU98kZYGWG3JCyk+ddlEAITtXhsOoy3DSrP570+eDgIcIdC+QEsqjhTMmTiQlesPxmMfvXA8AQnJLP0zrQ0sM0YXYW2soL3tGSSxLJhewZI1++KfP3vmYCS2W5dKpBREjOWue19jz6EGsjMcbr1uOqPL87EmvR8mWhuGDcxj/rQKXn4jth8njShi3pQK3E5cU44jEVJgDUlbBk8WrqtZOL2Svy/dnhA/Z9bg+N8S85XTZCoBWiecZ725NCyUJKotjc0uhbmhbu+mTxZaW9Ca6SOLEELgujplvPukFISkh7QengwR8XuSTgl/4sAJ8F2hU5O+clyEAJRix/56tu47ymkTBpKfFehVb7K2UWCvb6pm7aYqZo0vY9roYswpdPR25LgIJfnxw2+wbsuxQdeOktzz5XOSq1B7klZLG2stjhQIYzs8+1Y4ig07jrDqnUPMGFvKlFFFp3Qs2kiFa0UoyYZdtfzxmU1oY7n2nDFMHVWU0h58QkkeWbKNJ16J1WbmZgX43ufnkRWQ3fK8SYXj0tMoJci2DdQ+fx9uzT6yxp5BzqyLqY+kTp7Inzjg4+MTx1rA04wclMuYyjxc1/T6g8tasK7mtLElzB5bgoCkzDE1FjbvTqzH87ShscUlp6908bVOsoj9d8czkcKRPPz8Zp5avguAl9bs5ayZlXzswnG9fp50BKsNk4cXMvYTp8dc/qVI+Yxgi2viAg2godnlN/94m1s+NJX3lt87AYXbKtwCIvX/tt4iW0Y4+Puvoxtj9Yl1yx/FRFvIOP0awm5/KwToGH3kjujjk55obYhGdYezLMnEdTWeq5M2aF4KmDhiQEIsFFDxAnIfMFbwzMrdCbGla/ampZWC5xqkMQhjUl7ECCGobQi3ix843NyuuVQoycp3DnHnT17+/+zdeXxU1fn48c859072QAIkAcIW9n1XkE3ABVEW11at0laltdba2k1b7U+/v7p0tX6/amvtr5tV+61tqUpVoC6ICqgggiL7voWEJWTPzL33/P6YZDAmCFkmcyfzvF8vX75yZhJucube+9znnPMcbn94Ba+t25+wpVZOx9RURAK0OhUfv4ltgjE6ovghQZoQok0pY7j5spEM6hWeYJ+dmcxdXz4b7aNA1Q/Up1eDJtjq0FgwxtCtc3q9FdAAU0d3J+kTK+C1VhwpreGxf2ygpKyG0oogf3pxE7sOlUa27xMn6aSUBm12hy6YhFtO03Qy3ClarF7KX4efnIU4Fc8z2BruuH4cnqnda1CBm2A1xD6LhWHetL4sen17pG32xD5opN5VtGljePCWKTzx3IcUHa/k3DH5XDypoN5qd9u2WP3RoQbfu2LdAQbMGSJb531KkAAdJsyn9J3nAVB2Ep1mfYUaUiAu88NtJ6pB2uLFi/nNb35DKBTiS1/6El/4whfqvf7KK6/wyCOPYIyhR48ePPjgg3Ts2DGahyRambItln9wkEXLtxOwNNfOGsSo/l2krpH4TOEJ2CaSypd7Wn2e6zF3cgFjBuTw/tYiRvXPoXfXTIzPhwvbA8/16JQe4ENGxXAAACAASURBVLvXjsVgCOiGq909z2NAz6wG3zuwV7ZE0Y2ocmzSxs0lY9R5uGVHsTt1p9okJVxx5+aIWl728OHD/OpXv+KZZ57h+eef529/+xvbt598KiwvL+fee+/liSee4IUXXmDQoEE88sgj0TocEQWWpdl1qJQ/LN5ISVkNxSVV/PffPqCkItigOK4QommM49IrJ50rpvWjIC9DArQ25LrhOXTaM41meB3HY1DvbM4akhdpG9qnE5NGdIvaXM7WoLUCS4NlgaXb9Dpd6diU0YHqjn0pDSUTdOQecSailklbuXIlEydOJCsr/LQxa9YslixZwq233gpAKBTi3nvvJS8v/CEfNGgQixcvjtbhiCjQluaN9/c3aF+14RDzpxQQDEqtNSFawnW9uKjPlZAcl69dPoKveCPwjCFgKV8H0palqXYNjzy7js17jjG4dye+8bnRpFi6TT9j0Sqb1V5FLUgrKioiJycn8nVubi4bNpzczy47O5vzzz8fgOrqap544gmuv/76Jv0bzak50hQ5OZlR/fnxzhjDgF7ZvLHuQL32Ab2y6dgxNWr/rvSLP0m/+I/0iT/Fol9Kyqp54Pcr2VMYrgX20c6jPPjn9/jxzZPolJHc5sfjR348X6IWpDVWUqDBaiWgrKyMW265hcGDB3PZZZc16d+QYraxN2Vkd954f39kH8qxg3IZ0KNj1P520i/+JP3iP9In/hSrfnGVigRodXYfKqW62qG4SkphJFwx27y8PNasWRP5uqioiNzc3HrvKSoq4sYbb2TixIn88Ic/jNahiGhyXX6w4CyCjotSikDt9i5CCCH8Q2tFx4wkTpSfDMiyMpLD+wjLJdu3orZwYNKkSaxatYpjx45RVVXFsmXLmDZtWuR113W5+eabmT17NnfddVejWTbhf54X3isuSUEAA64XVxsSCyFEIrAVfOfacZEacClJFt/5wlipw+VzUc2k3X777SxYsIBQKMSVV17JyJEjWbhwIbfddhuFhYV8/PHHuK7L0qVLARg+fDj3339/tA5JCPEZ7IAm6BgsrVDGyARfIdoR1/Ho1SWdX39vJlVBh9QkG018bByfyGSD9VOQ+Rz+JP0SHTpg8fKqPby94SA9cjP58pyhpFjgfnovnFOQfvEf6RN/kn7xp4SbkyaaR2uF1kqK/Ik2Y9kW/3xjBy+s2AnA/qJytuw5xi+/OQ2ZrCKEELEjm4z5hFIKZVvsO1rJuu1H8bRGyx5wog2EPMPytfXr3R0vq6G8MhSjIxJ+YdsaozWe1tgB2TxciLYmmTS/sDQ/f2otH+8+BkDA1vziG1PJSrPPeMhJiOZQQJesVEor6i/DT02xwZOMbqJSWnPwWBW/X7yR0oogs8/pw7lj8n1dsDWRKIUs0koAkqrxAaUUR05URwI0gJDj8eRLm/CQVa8iugIabr5sBAH75OVg3tQCbPnoJTQHuOvxlWzbV8LhY5X86cWPeX9LEYGA3DZiSVsKbIvisiBBQ3ibpxZQCuyAhbI0AcmW+o5k0nxAKaioaji0VFoZxDNGwjQRVY7jkdshhcfvOI/9RWV0yUolNcnCyKqvJrNsjWMAFBoDXnyWpLFtzYfbj+J+amHW62v3M2ZAlxgdldBaURH0uOPRFZTX3jMuOqc3n5s5AJpxvlqWxkHxrzd2sK+wjOnjejCyXxfJlvqIBGk+4HmGXl0zyUwLUPaJeUBzp/QloBWOlEIQUeZ54Zxt75z02tp3EqA1ldKaDTuP8cRzH1JeFWLCsK7cfNlITCj+9rD1PEO3LukN2vNzM7C0xvXkJh4LRil+/8JHkQANYMmqPcyb0pcUq+mP8y6KH/7mbQ4fqwRg3dZivjRnKDPH5OP4eKP4RCJ5a5+wjOGXt03j/LN6MmpADncuGM+Ifp1kladoU1IbrfmCnuGhv75PWWUIY2D1R4W88OZOLDv+hpA8z5CTlcrE4V0jbZ07pnDlzAF4sqNIzLjGUHi0skH78bIatG56kFZWFYwEaHVefHsXIZkH7RuSSfMJ1/UIKMX1swbjGYOlkABNiDhhWZpt+080GNpct7WIi8/pHZ9Pw67LV+ePYMHFQ6iuccnKTMYyRpKsMZRkKaaNyed//7M10paSZNGtSzpeM4Yokxp5gEhPCbToGFtKKUi2DJYJ4qokalwVl1MGWosEaT5ijMGtPdHib4DE/2xbo7QGYwglQCrftjVaaxzHlQxZlHmeR8+8zAbtQ/p0ImDpyHkdT4wBXJcUrUhNszGOK1XzYswJeVw0sQ+eZ1j+/n5ystNYOH842hiaEzunBCzOHprHux8fBkAruGHusNppNq177GdCa0WmXUPJiv+let/HpPQaStbUqylzkhP2GiZBmkgIyrbYsv8Eb60/wKDenZg0ohvGcYnjDTdOKVxzT7Nu+xH2HCpjyujuZKUnyTyzKDIGUgKaL88ZylNLNhNyPAb0zGo3w4Pt8DSJW17I4ZJz+nDhhF5opbCg+Vs7eS5fu3wkl55bwf6ickYNyCHJUjgxeqhI1UGKn3uImv2bASg/XohzrJCsubdT4cU2wxcrEqSJds+2LZa+t4+nl4ZP/DfWHWDlhoN8+5ox0A7nXhit+Omf17B573EAFi3fzvevG8fwgmyckARqUeN6nDuqO1NG5eN6HrZWaM8jQRMAIopcx60dQjctym4aAzgu3bNT6dE5DcfxMDG8Jlo4kQCtTvW+j7FwgMQM0uJyqoQQTeEYeO6N7fXaPtp5tN1Ojq2qcSMBWp1nlm0hGP8JHd/zXA/lutgmvEI2UYdoRHzxPOOPOdBKo5LT6jXp5DRQiRuqJO5vLhKGwWA1UvBRq/ZZgc5rZGzK9aTenhDC36pNMp0vvAkiVytFpwsXUm2SY3lYMSXDnaLdCyjFtbMG8fiiDyNt54zoFi7U3Q6zSxmpAfp068DuQ6WRtqtmDiDJUshop0gkgYCFUhCUNHKLaK1QSjV/7tsZCjqQ0mMU+V97DOd4IXanbgRNEjUJvJJOgjThG1orbFvjOK07TOQ4LhOG5NH/G1m8s7GQgb2z6Z/fEVyX9jgYpTyPe26awNsbDrLrYCnnje9J105pCbGiVQg4WUl/+fqDuK5hyuju2ISHo8WZU0qBpSk8VsnxshoG9srCIrp/x2rXopo0dFY/PKc9XqGbRoI04Q+W5nBJNeu3FzO8bxe6dUrDtOKqOON6dMlMYv6UAlzXi8uSCGfK8wx4LtNHdWf6qHxc1436E7Cf2LaOZAwDWuoNJiIHxbd+tTyyg8vfXtnK/3x7OrZsSt4kxtL88pm1bNwZ3lc6JcniF7dNIyNJR32+pcznDJMgTcSctjVL3tn7iQKNW7j03H5cOrUArxVvsJ5nCAYTJ2+eiEM8Smv2HankD//eSEVViDlTCpg8orvsRZhAkpIs/rP2QL0t9qpqHF5evZvLpxYk5HnRHForikqqIgEaQHXQ5aklm/jqpcORZcttQxYOiJhzjWLR6/VXXy5+cyeukanuommCnuFHT6xix/4TFB6t5P89v5GNu44SCMTf1kyi+RrLnoZCbnj4TpwRpeBERbBB+/GyGjxJTrcZCdKEL3x6E3nPGEy7nDEmoHYism1R7UGNB1hWi2+gtm2xfltxg2GSV9fsa/D5Eu1XMOgyfWwPkpNOBua2pbl4ckFCZdJbynUN/fI7kpZSf8DtkskFBCRyaDMy3BnHlK3xjAIMmvC8K79RShFIsiJbMTU2H0RjmDGuJ6++tzfSNmlEdyyQMK2dMpauV3B3cO9s7lxwFibU/Juo53l0z8lo0N4jNxOtFe2g8L84QwFt+J9vT+ffb+3E8Qxzp/QlxVYxLdQaj7Tx+OVt03h66WaOlVYze1Ifhhd0jtmOBIlIgrQ4pWyLRcu389LK3RhjmDm+F9ddNAgvhiv4LEvjoqioDhEIWCTbmqqgyz9e2UqSbXHxpAIClsH71IXSuB7XXzSYoQWdWLvpMKMG5jBhaJ7MI2qnAgGL1ZuK6hXc3bznOO9vKeKsQTnNXoXqeYb8LumMG5zL2s1FAORkp3LptL7N2nxaxC/PNSQp+PzMAYAhFIptJf145bmGVFtx09yhuF54g/dorRK3AhYhxyNgaTy38Qf6RCRB2mkoH64GsizNrsIyFr+1K9L2ynt7GT2gCyP7dorJajalwEVx1+MrOXS0gqyMZH504wTuePRNnNqL45LVe3j0u9NRjeTHvJDD2YNyGD8oB2UMjpSLaLe0VmzfX9KgfceBEiYMyW3ZD3ddvn7FKKqCDjVBl6zMZCxj2uPuX59Ja0V5VRBPawJatevVzKdiDDK82QrCq8XDxbCjUWdRKVC2zfNv7uT9LUUM6p3N588fGN5STaYpyJy0xigFpeU1VDqG45UO2FajFetjxbI0H2wrbtC+dktRzI5T2xb/WrGDQ0crADhraB5LV++OBGgQXmH19oZDp5zEHQq5uCFXSia0c6GQy4yxPRq0TxvTo8VP6cYArkuqpchOs8FJrPIjANrSVLmGn/1lDXf++i2efW07qraoqxC+ozVPPPchi5ZvZ/ehUpau3sMDf3oPTz6wgGTSGmdZ/PKZ93l/y8khk5/cMhntk6ya63qMGZjDc2/sqNc+fnBezG5InmfYW1h28mtjCFgNgzHbkhMv0XmeIS87lVuvGsWzr2xFKcXnzx9IbseUVi2S6YdzNRY8FHf9ZiXHSqsBeHHlLqpDDtdfOAjjemhL4wKOa7AthQ0JF8gK/zAoVn90qF7b9v0lOJ6RAAXJpDWgtWJ/cXkkQAMoPl7Fcyt2Ytn+WMbvuh698jKZP60vtqXQWjFrQi+GxWioE8BScO7Y/MjX73xUyHnje9ZbYdUhPYmJw7tJ5ftWoi2NsTQhFMbSaB9le0/HuB5nD87hga9N5oGbJzF+UBdfLnyJlvA2O9H52VVBJxKg1Xl7/UFcFNrSFB6v4vaHV/DVn7zK9x55i+OVISx5eBIxYjBkpCXVa7MtjaXlMwmSSWtAa82h4ooG7QeKynF9ND5uHJfLpvZl3tR+QHiFZCwXDTiOx9gBOVx30WBeWrmbjNQAKHjsuzNY/v5+tFZMGNYVzxhsrfGk0E6LWJbm0PEqfvLkGkrKa8jNTuVHN0ygY6odN8PFTsiLPCXGySG3mLI0HrD9YCl5ndNIT7ahlYPT5ICFVvVrjeZ1SgNjcJXiwSffo7S2/tWx0mp++uQa7rv5nEbnigoRbQEFX71sBL94em0k+33dRYPDFQtiemT+IEHapziOy6iBOWit6k1aPO+snlhK4adpqJ7rUfes4YcPs+e4XHhWj8h8oyRLUeMZdh8qpbLa4Zmlm1FK8T/fmU6KVphEHY9qBS6KB/588mZbdLyKnz21lntvnIA8f/qTbWv2H63i/zyxMjJXc+7UAi6b1q9VAzVLwbWzBvPUks1AOGi79arRBDRUOR4nyusXKD10tAJjkM+NiAnH8RjaO5vf3nkeuw+V0iM3k9SATqjM+meRIK0RSZbivpsn8YcXNlJRHWLulL4M69Op2bVhlALLsnA8Q8CCUDSWyPiEEzoZOCrb4s0PDvLW+oOfeIfh32/t4przBsjKqxYIOm4kQKuz73CZ3Gl9LOTB4//aUG8xzeI3dzF/ar9WnXdiXI+Z43owY1xPjpRUkZOdijYGp7a8QZesFI6UnBwO7d01UxYVtHO2rXG88L1I4785iMb1sIFB+R1wXSMB2idIkNYI43qM6NeFHywYj8GQZKlml4SwLI2D4p/Lt7PnUBnnjsln/JDcmA5NthVjaHRegcw1aLkk2yIrM5mSsppIW0H3Dp/5PVorUArHGAJaJ2RZhlg7dqK6QVtN0CXVbuVzwvXIzclEey7Gcam75VnAj26YwM/+spYDxeX06daBO64fH1480LpHIHxCWZrth8r45+vbSQporps1hE4ZSRgfTjlxE61WzhmQIO0zKC+cFWrJljIuirtra4cBfLjjCNdcMJCLJvRu9zfJUMhl8sjuPPvKVsqrwpsdJwcsLplcQKgFleXbglKQlBQ+PYJBx3crBS08/s8NE/jpX9Zw+Fglvbpm8v3rTn2ztSxNjWd48sWP2X2olLOHdmXetL7guFKLqI3YGmaM68nit3ZG2nKyU0lNtjnT7RCUgkDAJlyg9fQFPz/9uut6ZKcF+L8LJ2IArcKBm98yK6J1WJbm4PEq/u/v34m0bdh2hF9/fyZJPqlWID6bBGlRVlnjRAK0Oi+v3sP5Z/VKiJEpG8N/f3s6b6zbTyjkMnN8LwLa4Pk4PlWWJuganl++A9tSzJrQh4BFq5aHaCnXNXTOSOKBr00KzydSfGYpBRf40W9XcfhYJQD7i7ZzoryGqy8chK3BSKAWda7jccWM/nTISOLt9Qfp1TWT6y8ajIU5oyyWshTVjmHR69sJ2JrZE/s0uoPH6ThO+OGz7vrj41NRtJDSihdX7qrX5nqGVR8e4ryx+We00j4QsDC1w+Wi7UmQFmVJdsPZJpmfWm7cnrm1ixsuHN8DUASDjr8DNAU1juG2X75OsPai9OLbu3nkO9N9V6+m7m97JjfbmpAXCdDqvPnBAc4d24MuWamkWu1nIYdl6fA0Ax9mCb2Qw6yzejJjbD62Du8leSZZLKUUVSHDbb9cjlP7/pdX7uaR705H+2LZkPAjBeRmpTZo75KVetrzXVuakIFVGw6RmZ7EiH6d0Z4nQ5JtzG/3nbhgWRosjdH6lNXz69iWYurok/XDtIIb5w4jkGB/+WDQjYuFAoGAzYsrd0UCNAjvlPDGugMkJfmjTl5zBAKaT08F7JKVyomKGl58exeBOP7dPknZFjsKy3jh7V0UlwVRPqwd54RctGfwHO+MA+NAQLP4rZ2RAA3Cn8t1W4rQAQtlWxitsRt5KBSJKxRyuWRyX7IykyNtvbpmnramptaKiqDL13/2Gr97/iMeeuZ9fvjrlXgqup8vpcIjGdgWxpLPM0gmrcm0pThcWs1TL2+mJuRyxYz+9M/veOol9K7HDZcMZc7kAvYXlzO8b2eSNJI69i2DbuS6EO9rHSzgc+cP5H//sxUIPzx88ZKhPL9iB4P7dGoXk1OUpfnjix+zYt0BAJ59dRs3zR/GtBHdGpxvlqVxUVTWOCQnWdgKX68oMzRccDOgZxZjBuVx6GglodqsalZGMh1SLMl2iAgbj199cxq7D5WSlGTRvXM6yvU+M/+qtOZv/9lc72H10NEKtu0vYVB+x+jNYbQt/rj4Y97ecJAuWal843Ojye+U5stFDm1FgrQmUAqqHcOdj70dGUZ54E/v8cDXJpHfKe2UH1zjuuR1TKZbdgqO42ES9/Pme6GQy8XnFLBk1R5qguEBxPQUm2lj8gkGz2ycVtfWgPNT3GNcjwvP7sW5Y3uwff8JunZO48W3drHrYCm3XzO2XewC4RoiAVqdvy7byjnDu9eb/6mUImjgh795i+LjVQDMPqcPV83s3+qFZVuLE3KZO6Uv/3lnLzUhF6Xg29eO5Sd/fi+yWX3vrpncetVo0lMDyEwzUSccsLsU5GUA4XqWp7s0GQxVjYx8VNc4USvXYtkWz762nRUfhM/hw8cqufd3q/ntneclxPztU5FcYhPYtsWqjw41mOfy0srdqNOkWjxPJl7GA2Mg2VI8+p0ZXH3BQK67aDD/853p2Gcw76dum6YdhWWU1Xjgt6E21yPN1ozo25nte4/Tr0dHHv3udALKoHV4Hlc88xqJip1PFHyuoyzN00s3RwI0gJdX7aa8Ono3oJYKfy7h0e/O4NpZg/j2NWPZtOtYJEAD2FNYxvptxTE8ytiwas87V4X/r09zLVZKhaerWOEhNStBhtQ8z5zxHE1bK66Y0b9eW3pqgOH9ukTtPhZyPdZsOlyvzXE9Co9WhPssQUkmrQmMMeRmpTVoz+uU5tuLu2g6z/WwgDnn9AEMwaB72ryEZWmOlAX5wa/figwRzBzXg+suGuyr7IzreuB6TBnRDai9cCvNttoNjQf1ysYy8Tk52NaKUQO6sH7bkUjb3CkF4dnTlo70g+N67Cssa/D9hUcq6NgjikM5LeS5BgvDxRN6Ewhonnlla4P3FB6rJDlgUdPOy/vUUZbm470lPPqP9VRUhRjQM4s7FozHUjQ630/VfhYe/fsHvL+lmE4dUvjG50bRJzczoYfUPknbFu9sLibkeNx38ySWrt5Nh/Rk5k/rizYe0forWVpR0L1jgwVOZ7LIoT1LjEeIVuI4HkP7dqJPt5NFQzt1SOHiSQWEznAoTMSPYNA54yFOx8ATz39Ybw7Ha2v3U+PT3SVCIZdQyMVTijsee4v7//QeP31yDd9+eAVOnF4WlGe4/eqx3HzZCKaOzufWq0bRLz+LhQ+8wqI3dkQym0m2ZvKo7vW+19KKvtGca9OKgkGHqqoQ547p0eC1meN64DoOytIcPVGFU5s1Ol12KV55KH7+9FoqauswbttXwh8WbzzlJFJlaZ5aspn3t4QzjsdKq7n/j+/itc8/T5PZAYvX3t/PI89+wOOLNvDY39eTn5vB1RcMJEDTy700hTKGG+YOpWvncCLE0uF5swErsTtHMmlNpFyPe26cQNHxKoIhlx65GVgYX+3pKWLjeGnDavIV1SFS0gO+mp9WJxCwWLnxMEWfGPYrKa9h6eo9zJvc+4wDVL8wxmBCDpNHdiPoeCxdvYdt+8LDgf9+axdzpvQlifD8rpnjelJaEeS1NfvIzkzmK5eNwFZELUvQ2jzPkJ2exJ1fPItnlm7G8wyfP38g3Tqn43iGxW/v5vkVO/A8w5A+nfj+9ePwde2bZlAKjpyoajCEt2nXMVzTeAbC8WD99vpDwo5rKD5eRV7HlITO2AAEXcPLK3dHvj50tIL/XbaVicO60SG58RXgSinQKnLu2CpcE7CpPM+QbGkeuHkSNY5Hkq3Dm6zHwYNTNEmQ1kSeZ8ALLwSA8CRMCdBEQCvOO6sXf122JdLWMSOJTh1SMD4delIK0lJsvn7lKGqCLq+v3ceOAyc4XtYw2IwnNSGXf7+1s17wCVBaXkNOZjLGGLyQw2VTC5g7uQCAQByuuDaux9CeHbnnhgkABCyF63iUVIb41/Ltkfdt2n2Ml1buZu6k3jg+zew2hzHQuWMqlla4nwjUhhZ0xtbQ2OilpWBAj2yOlByKtClVO6Qmw50oICMtQHFJ/XMn+TNKTSnb4tF/fMCaTUWkpdjcOHc4YwZ0abwDTqMuk52sgNOsQE0U8Tmu4QNNmYQp2j/HcZk1oRdfnjOUgu4dmDSiOz/9+lQsHz+Zh7yTAc3bGw5y7azBnH92Ly6ZXBB3AcsnBbRm2qeGAtNT7AZzW1zHC2/95nlx+/s6n/wdQi6Wpdh54ESD923efRyfPiu0iMZwx/XjyUwLADCoVzY3zB2KOcWwnDKGG+YNo1deJhAOPr5+5SjaR5XAlgtouGne8HrD45NGdCP5FIU9LdvihTd3smZTEQCV1Q6P/P0Dggme/WpNkkkTopV4IZcZo7szeUQ3bB3eGM+vc5xsW7N5XwmP/n19pO2BP73Lo9+bQYqtfbUFVlO5jsuc2gzZinX7yeuUzlcuHR7VSc9+4boeQwo6NWg/a2gethUe7mtPjOsxqGdHHr79XIwJT0XTxjS60hfCD9dJluKemybguAbb0liYuP68tybH8ejeOY3Hvz+TjbuO0r1LBrnZqaccDQh5XoPhY4BdB0sZ2ivLt9e/eCJBmoiwbY0xstlySziOh4aoTrBtDR6w9J099dpcz7BhWzGThnWlOWXTbDu8jYxSCk24on6seCGHuZP7cNHE3rWbiJu4XLHaVMZAasDits+N5o//3khVjcP0sT2ZNro7TjuohdcY91N7kZ7uU1e3nVog/EW7D9ybyrgeNjBuQJfwiNFnpGADWjGsb2d27K+fve3drQOeDB+3CgnSBNpSeEqzYedRUpJt+uV3RHmeDOe2Y1opundJZ+2n2rt2Tm/WxbWiOsT6ncf4/QsbKa8Kct5ZvbjmgkF4odjN2HRDbmQ+R/sMT07B8xg/sAvjvjcT1619aGinAZqInjOZAuA6Hped24+d+0/w0c6jJAcsrp89mNSATvgJ/61FgrQEpxQEPbj94eWRZez5ORnc99Vz2t1qMHGS67jMP7cfb284xLHaVanD+3WmV14mbhMnLykFJWU1/PKZ9yNtS1fvIT8ng+mju7WryerxwnE8crLTKS4uk0yRiCrlenz7mjHhFbUqvAWdDB+3HgnSEpxtW/zj1W2RAA3gQHE5H+86xoiC7LidUC0+mzHh4Z5f3DaV4uNVJCdZdExPalbhXcvSbN5+tEH7OxsLmTKiayscrRDCr8IjLiay+ELuGK1LgrQE5xk4Xl7ToP1ERU1Cb8WRCOrmHuZ2SAZMs0uFuK6pV+C5zsBe2dha40hGVgghmkVKcCQ64zF/ar96TUm25uyhXdvFptuf5XRBqNZ1e/xpVDuu2t7SzeCNMeRkp3LpuX0jhd7798hi3pQCnPZY90EIIdqIZNISnOsacjqmcP/Nk1i0fDupyTZXnjeAnQdO0Kd7B5K0anfzC+oWShw8WkHnDikk2w0nuVqWpsoxPPL3dWzfV8Kwvp245YpRtUUyZUHFp3VIT2b+lL7MmdwX1zMELIXypBhle6MUGK3xAIXCUrFdxStEeydBmgDPo0fnNL5x1WheX7uP+/7wDkdKqrEtzUPfnEaHFKvdBCa2rSkureGHv1lJTW2m8PLp/ZkzuU+9+Vgu8H9/v5qDRyoAeH9LMT9/ai13XD8OJPRolKldSagBXCNzU9ohZds8VltdPmBrPnf+QM4f10NW8gkRJTLcKWoZ9hSW8ueXNnGkJLzaz3E9nlm6GXTrfUws2wIr/J9lt32d75AHv160IRKgASxavp1Px6Ah10QCtDpb9h5v8D4hEoVta15dsy9SXT7keDy9ZDMlFaF2N3/VtjVJSXa7+71E/JFMmqilqKppOH+oKuiesnp3k/8FvKBnWwAAIABJREFU2+L1dfv5+6vbMMCVMwcwY2w+pg2HSwxQ/Kk9HSG8nUlG0slg1LYU6Sk2FdUn63x17piCXLJFompsc3KArXuPc87QXBwn/p9gtFYYS/PBjqPsP1zGlFH5ZKbakikUMSOZtHZCa4VtN787XddjYK8sOqQn1Wu/YkY/7FaITCxLcaC4nD+9uImKaofKaocnX9rEvqIKLKvtPoYBDVNH59dry8pIJqN277/I8QLfunoMSbV/05Qki29fO5bGtrCzLA2WRbVnMJaFasPfR4i2YlswZmBOg/ZBvbPbzW4ORmvu/+N7PPTM+zz76jZue2g5uwrLCHzGBuNCRJNk0uKMHbAI1V4QA1a44jOWxcGjlRwoKmPEgBySLdWsJz/LGH75zWm8sGIHx0prmDu1gLys1FaplWbbFis/PNSg/e31B+l30aDwVi2WxjVQWhkkKyM5vAdfKz/Buo7HVTMHkJxksXLDQfJzM7hp3nAsY+pVpfdcj/75HXn8zvOoqnZITbFRxjT4W1iWprTG4UePr6KkvAZLKxZeOpwJQ/Lk6Vu0K07IY8bYnmzbV8KqDw+RFLC45sJBdEgLtIvPulJwoiLI9v0l9dqfXrKZH37xLMmii5iQIC2OKEuzcfdx/vzSx9QEXeZP68e5Y/P57aIPWb2xEAhXfL534UQK8jKbXELDdT1sBVfN6B8uyWC8VtvH03U9hvTpxEsrd9drH9q3E65rUJbm9XUH+MvLmzAG0lNs7v/aZLLTAq2+l6gXcpg/uYCLJ/bG0gp1io3Q6248qbYCx210uYBr4LF/rKekttac6xmeeO4jzhrSVS7qot0xjsPCucO4ce4wQLW7zckbWyDluB4GI+eziAkZl4kTSinKqx1++pc1FB6t5HhZDX95eRMVVU4kQINwcdrfv7CRYDOHH4wBJ+TiOm6rDmE4jsfwvp05e2hepG3c4FxG9e+C47i4wFO1ARpARbXDY/9YT7RGUVzHRRuDcVu2R6lRsLewrF6b5xkqqkOn+A4h4pcx4YcX5Xoo121XAZoxkJ2ZTH5ORr32K2cOINmSEE3EhmTS4oRta9asP1ivzdKK8qqGwYBvAwTX5ebLRrBw/ggALE2kyn1ltdNg5eTBIxUYha+fYLWC8YPzWPHBgUhbeopNRmoApJCrEHFFeR733XwOr6/dz77DZVxwdm+6dUolJPvPihiRIC1OeJ6hT/f6W+8EHY/UZIuundMoPFoZab9kUgEBS+G3GpPGAK4X2eMN92TFsYzUAB3SkyitCEbef87wbljK53vBuR5fnjMUxzW8t6mQ/JwMbvv86PB8ulgfm2gxrTWeVpRWBMlMC6ChXcy/Eo3zPAOeywXjeoAKz01t7ekWQjSFBGlxwnU9+nTtwNlD83j348MA9OnWgezMFB64eTLPvbmDvYVlTB/bg9H9u+DE2ZZO2njc/7VJ/OafGzhQXM6EYV255sJBzd5Psq0YA8r1WDhvKDfNGxreuFwjG9PHiB2w8IxBo1q8JZVta/YeqeTHv3+HmpCLpRXfumYsI/pkt6thvqZQihZtIRYv2vuWeCJ+KGPi95Q7erQ8apXwc3IyKS4uO/0b21DdliwhNzzRPSXZRnsexhgs28L1DLZWcXuBsSyNS3hena0VxnUb3BD82C+i6f2itQKlcIwhydItfqiwLI2rFIvf2snewjLOG9+LIX2yWxTkG0tzx2NvRYo7Q7gUy6+/NxNc/59jrXmuKEtTHfKorHbI7pCMZbx2U3ajrck1zJ+i3S9aKzp3zjj9Gz9FMmmtRGuFpxQh12BphaVaf1ikbrgwAASs8IrDun+h7iYXp/EZQGRYQQNeYiYqEoJlKapdePKljzlQXM6UUd05/6xeeCHn9N98Cq5S/ODXb3P4WHjYf+3mIhZeOpypw7u2KKv5yQANoDroEqo9BxOGpfnTy5t44/3wvMvszGR+eusUAkoRx8/4vqe1Aq3CD61KsvOJSoK0VuJpzY//8A67DpaiFFwyuYDLz+1Xbz9IIQS4SnPnYys4XhYuW7L7UClVNQ7zJvcJ1/1rIqWgpDwYCdDqLH5zJxOGdm32EnYFDO/XmY92HI20de+Sjm0porbs2GeUUpRUhCIBGsDxshqeWrKZGy4ZgmkHuwz4kbY0ZdUOzyzbQmW1w2XT+9ErN0PuJwlISnC0Aitg8cKbO9h1sBQIZ7z+/dYuSsqDsvebEJ9SWhGMBGh1Xluzj+YuoDMGkhrZCiItJdCilcHaGG6/eiyTRnQjIzXAmIE53HPTxIR6stVaUXS8skH7oSMVuLKRbdSEDHz7v1ew6sNDrN9WzL2/W82ho5VtujuL8IdEut5Ejet6bN1b0qB9T2EpXQZ0aRd72gnRWtJSGl52OrVwX9TUJIuxg3J5f0t482+t4EuXDA0v4mhm8Od5Bq08Fs4bhmvCP1OfovBxe+W6Hv16dMS2NM4nfu9zx/YgydKEvDieX+FTgYDFux8VEvrUB3fxW7u4+dLhMToqESsSpLWCgKU5Z0Q3Pt51rF774D6dEuqCLsSZCGjFRef0ZsmqPeGvbc1XLx3RooBKeR7fuGoU+4rKOVBcxpiBuSTbusE8HqUArSNzOS34zJWaxhhwTWTIIRHPZht48JbJ/O75jygpq+aCs3szZWS3uFqgpCxNyDNUVDl0zEgKbwPn02uz5xmyMpMbtGdnJqP9XpJItDoJ0lpBKOQydVR3Co9W8J939pKRlsRN84eTYmmM52HbGqXid9WlEK3JuB6fmzmASyYXUHy8it5dM7Fo2cRoYwDHpXdOGgV5GTiO2+jCHWVbPPbPDazZdJiUJJsFFw9hwtC8dj/XJxCwaq9BTpNLaHiuR17HZO64bhwGSLKIrxI/lua5N3fx/IodAHRIT+InX59Cmq2iVh2gJVzXY1DvbHrlZbL3cHi1YUZqgMum98NtpZJEtq2pG+CRRQn+JiU4TqE5y3G1beERfvoOaDCewVOaDduPUFYZYuLwrtjqs5/cxWeT5ev+lJOTydGj5QQCFsZAMHj6lZpKhSemt9WN0rYtXly9h7+9srVe+6PfnUF6QLW7+l85OZkcO1aBpxRvf3iQkrIaZo7vRWpAYRJk4QNAjYGv/fS1em3jBuVy65UjY1KY+EyuYVorjNbsPVxGZbXDoN7ZrZb9U5Zm/5EK/vc/4fPgmgsHkd85LeGLNEsJjgTg1T7lKMI7Ainb4s5PlAV48qWPefj2c0kLaF8+wZ0JpcInuWfCM4gsRas93SUqy9LYtsZ1vbh9oq2sDnG8MsSS1dvJyU5l5riejd5U6hbSGGPC+0C2YWQU8gzrtxc3aN9xoIQx/TrH7d/+s3hK8b1H34yUElm0fAe/vG0a2Wl2s65BlnVyqFiDb4cM6yilOHaiqkH7wSMV4XmGMTimM1G380HvnHSUUuG9lFvh52qtKKkM8aPfroq0/ei3K/nv26eTmWxJSRUf8utnNO5Zlmbz3uP1ygIEHY+/v7oNpeP3z65sm78s2cLCB1/hm79azvvbilGy4qjZlG2xo7CMvyzdwke7j6MD1um/yWdsW7PzwAluf3gFS1fv4amXN3PHo2/hfWJls9YKZVscLQ9SVFqDsi2sNt60OmDBiL5dGrT37d7Rd8GGUmDZFp5W6NrpEs2xdV9JvVpvnmf42ytbwqsgmkhbiiNlQR795wYefnY9+49W+v7cN8bQrXM6yUn1z6vJo7qHa036nOe17ty5QMDiP+/uqddmDLzy3l6SkuLv2pMIJJMWJUpBTU3DZ5+qoIMhPp9W7IDm1ff38+qafQCUVYb47799wK+/N4NU2x/DRVorPK2prnGwbU1AK9+m8bWtWfz2Lv75+nYAlqzew7lje/Cl2YN9e8yNcQz8ddmWem3FJVXsKSyjT246nmcwluae361mb2F4OKFb53Qe+NokaJX8wBkeZ8jj4skFbN9fwrqtxSTZmmsvGkx6iu2rv7dSCizN/766lQ+2HWFQryyunz0Ey9Dk7JfXyEkZLp3RtABFKagKGb736JuRY1i/rZiHvjmNTukBX48MaOPx4C2TeXzRhxQdr+TcMfnMmVyA24LiyfHKGENep/QG7V07p/m6DxOZBGlR4jgeIwd0IT3FpqL65MXg8un9UXF6LjiuYc2mww3aN+89zvgBXXwxXGR0OBjYVzvhdtLIbiycN9yXe4C6RvHCmzvrta1Yt5/rLxocVyluZWg002PVZmsCAYt3NxdHAjSAQ0crWL7uABeMyycYbMO+cVy+cdUoPFObrVLg+eBzW49WPPaP9azZHC4ncuhIBXsKy/jRl8+GJj7gDe6VTXZmcqQunVbw+fMHokzTfudAwGbZmj0NbuQvrdrNFy8ahNeWfdhEnmvonJ4UWfgQ0KpFAZptWzi1W/C1dH/YthYMhhe5vfj2rsgoT7fO6ZwzIr5W6yYSCdKiyDIeD98+nedX7KCsMsi8qX3plJHsu6GVM2VbisG9s9m482i99oJuHX2xj58dsHjh7d2RAA1g5YZDXDKpgPxOqb58Umw0n+H/UZh6tILrLhrMh9uLqfsTd+2cRo/cDDzHxbYVB46UN/i+A8XltTUx2k48lNTwUKytrfdWZ9fB0nBg0MSfpY3HL785jVfX7ON4aTWzz+lDRord5GuQMYZOHVMatHdpYX27tuK6HorwqdXcy2/dZP7n3trFtn0lnDOiK5NGdG/RdmaxoI3HT26ZzMEjFaCge+d0tOe1YU5bNIUEaVHkugZbGT43sz8QXtXpNWNTSqXCF4hYB0JOyGPOlAI+2nmULXuOo7Xi8nP70TE94IvhIs8z7Dp4okH7nsJSeuWk4/ms8KalDHOn9o0MdwKcO6YHFk3Nl8SW63r07taBR74zg9fW7iMnO5UJw7pGLvyhkMv0MT341/Lt9YbEZ03oHV+lHNqKMXRMT6ak/OSuDEm2xta6yRu7h68ZLrPP7oVS4UxKc87VUMhl/JBcunVO59DRCgA6dUjhwrN7t20mNIY8pbj/j++y40D4GvPhjiMcKK7gqhn9I4vG4kHdZyK/UyoQXvAWP0efeCRIizJjPrumkGVpdG3avLE5XcrSVAVdDhSX06d7B+wobNzeFMr1uOO6cTieQWsVDih8EKBBeHht2ph81m4+mYVQCkYPzPHlsITneMyZXMDwvp15Z2MhowbkMKRPNl4cBi6pyTZpAc1lU/tijCEUOnnhN8aQmWJz78KJPLNkC65n+Nz5A+jcIVnK0TTC1nDLlSP5yZNrItnfG+YNQ2Oanfk7k5Iop6M9jwe+Nok9hWU4rke//I5okzgZmJBrIgFanf+8s4crZvSP0RG1jB9HFkRDEqTFSN3k4C37SzhQXM6EYV1JDVj1Ah5laZa9u4+//ic8KVsr+OGXzmZgfoeYzf8Kn9i1wy6uv5ZAhEIuo/p34QuzBvPi27tITbG5Yc5QUm0L04wMZlswjkvfrpkM7BFeYRjPmSVjzCmDAeN5FORm8P3rxgEmvKVQHP+u0eQ6HgPyO/LEnedx8EgFXTulEbBUvYBWKVWbXW+7z3VdBqZPbuuWhYgXllYoRb2H6fTUAMaYuBjyFfFJgrRYsTQ/f2otH+8ObyX15Eub+K+F59AnNz0SgLnA3149WXjTM/CbRRv42a1T5KJwCl7IZdZZPZk5vgeYcNkFp7k7d7cR1/Xidp5iUziOF/nctvaej5alcFC4nsGqzfDGc5bOuB4a6NUlvOquXvFZS3OiMsT+onIG9swiYLXtCua6B7VEoxVcPKmAF9/eFWm7cf7w8HZmiRStijYlQVoMKBUuX1EXoEH46ezJlzZx15fOAkuH3+QZeuVlsvtQaeR9JWU1za6ZdMbHZ2nq7glahfdF9EN5jTPlOG4kGPDbwj3R+rRWBD3FfX98hz2FZaSl2HzjqtEM7pXlm6H45mowJGVp/rl8RyRQ0AruvmEC/btl+mJ1dbvmelwxvR8zx/Vk16ETDC3oTIqtff8QKOJbPK30b1dCjVxQ01MDOJ7hob+u44b7/sN9f3yXr14+kiF9OkXeM210PjqKEZOyLZ5ZtpWFD77CTQ+8whPPf4Sypcih8C+jFI8/t4E9tSU+KqsdfvnMWrx2mG/2DPUyOZ6BJ577EIkT2ojr0TkjwNmDcki1AJ9OoxDthwRpMWAMZHdIJq9TWr32BRcP4Vd/fZ+Paktc7D5Uys//soYb5w2nT7cOXHXeAL54ydCoza+yLM3uwlL+897eSOZs9UeFrN1cRCAOK+GLxOAa2LrneL02xzWUVtSc4jviV6iRzOCJ8mDUs+viJM8zOE58jS6I+CXDnTFiGcODt0xmyard7C8q54IJvcjOTObjXcfqve9YaTUZqTZ3f+kskiyNE8WaPJal+WjH0QbtG7YfYcKQvKj9u0K0hKVgWN8urP7oUKQtYGs6ZiS3u8lCybZFj9wM9hedrDt3/lm9sJRJqEn8QiQKCdJipG6i+NzJfcIZc2NwPNPgApyabJNkW+C6US8j4Tgu4wfn1qvbBTBxeLdm1XcTok14hoXzh1FSXs3m3cfJykjmW1ePQRl/rT5uDRYe/7XwHP7x2lZ2Hihl0shunDsmH1dWygrRLkmQFmOhTxSCDNia71w7lnt+t5rSiiApSRbfvnZsi+ojNYXnGfI6pfGFWYP5x+vb8DzD7El9GNInO65LQ4j2zRiDZeD7XxgX2e7JVuFSFu2N6xq0crn6vIE4nkfAUnJuCtGOSZDWSrSt8YzCYAgomrXSynE8OqUHePj2c6kJuiQnWWjjtW0pAdfjwrN6ct74nqDCkxbjsbiqSCx1ZSHqJtm250+sMeDWrmB22lFBUq0Vtm0lTEkaIc6EBGmtQAcsnlqyhdfX7iM12ebLc4YxZmCXZm0SV1cwMlkDjhuTvQXdTwyryqVSCBFtytIUnajmvU2HGdw7m77dO2La2XxCIZpDgrQWCgQsXv/gIK+8txeA8qoQj/z9Ax773gzSbBVZAaSUwrLCFcJlVVDrsGxNyA1vT6WNkW1OhIhDtq1Z8eEh/t/zGyNt00bn86VLhjR/N3Qh2gkpwdFCIc/w3seHG7Rv2nUMy6r981qaE9UOqzcVURb0UJb82VtCqXD2ctGKndz121X8etEGql2DZfmjDIFtWxitsWyNVEYQ4rM5RvHXZVvrta344ABuM5+5lAo/PNu2XGejSalwgC3lX6JLMmktZGvF4D7ZfLjjSL32vvkdw5N8Lc2yNft4ZumWyGs3zR/GlOHd4nrbmlhSluaZZVtY9k44e3n4WCU7D6zkF7dNJZazkZRSKNti0YodfLC1mEG9s/n8+QPRnidZPiFORYHT2LWwGaeMsjTVIY93NhygW+d0BvbKAtfDyPBFq1KWpirksml7MQXdO5KVkRT1rOen901NFBKktZATcrlkUgEf7TjKpt3H0Fpx6bR+ZGUkYVwPD82zr2yr9z1PL9nCOcO7t8N66G3DNfDmBwfrtR0rraaqxiE1ltk0rfj1ovW8uzGcWd19qJSdB07wgwXjScS9DoU4ExqYP7Uvz7568jo5akAXLE2TnrlsW7P/aCV3P76SumeigT2z+MEXz2p39fJiybY1H+w4xkN/fT/SNn9aXy6d2jcq27ApS+OhKC6ponNWChbE/XZvTSFBWmtwXb73hbE4tZs7a05+iIwxDZ4Sa4LRK0ibEAzkZqdGtgGC8FNWcpIV0zksHqrB0Pe2fSU4npETTYhT8ByX2ef0oV+PLN7ecJChBZ2YOKwbxnGa9GjjePDnlzbxyaT11n0llJTXkJVqJ2QWJhpCBn6/+KN6bYvf3Mm8qX1bPfFg2Zpdh8u57w/v4LgGreCWK0cxfmBOwoxEyaB9K/A8A66HbQzK9epF+VrBmEE59d4/aWR3tGRWmi2g4etXjiLpE3NOPn/+QGK/cZUhMy2pXkvA1lhacqZCfBbjuAzp2ZGFc4cyeVhXvJDT5KDKw1ATbJgxC4Y8kHGLVqOUoqKqfqLBM+Gt2FqbY+B//vZB5Gd7Bn733Ee4CdSfUQ3SFi9ezMUXX8wFF1zA008/3eD1TZs2ccUVVzBr1izuuusuHKf9ZZiUZ/jm58Zw7axBjOzfhS9eMoSb5g2XjXlbwHE8cjum8Pid5/HA1ybz2zvPY9bZvWKeArcVfOXSEfUWCyy4eIg8CQlxBhzHIxR0CTWzLmOypbh8Rv96bTnZqeRmp8qctFakMZx3Vs96bQN6ZhGI0lSTY6XV9b6uCbmNz2Fsp5SJ0qf38OHDXHPNNSxatIikpCSuvvpqHnroIfr3P3kSzZkzh/vuu4/Ro0fzwx/+kOHDh3Pttdee8b9x9Gh51CZk5+RkUlxcdvo3niE7YOG4HralcEKJ8wFrbZ/uF6WUvy7AlsbxDHsOldEjL4MUS2MSICBv7fNFtFwi9omyNHuLK1i6ejf5XTKYPakPljG+Ko7bHvpFB2zeXH+AdzYWMqhXNnOmFKDcKCyQsjSP/H0967YWR5p65mVy700TUK3cp9HuF60VnTtnNP37onAsAKxcuZKJEyeSlZVFWloas2bNYsmSJZHXDxw4QHV1NaNHjwbg8ssvr/d6e+OEXPCMBGitzFcBGkSGvQfmZ5KsSIgATQi/MK5Hn5x0bp4/nLmT+4Dj+ipAay+8kMP0Ud359ufHMH9yH0zIjUrCRHmGb3xuNDPG9aRThxQmDuvK/7lhQkLN8Y3a71pUVEROzsm5WLm5uWzYsOGUr+fk5HD4cMN6Y0LEIzcK8zOEEKfnul773hfMJ+qGpaO5Ra4xBuW6fHH2IJxZg7AUKGMS6voatSCtsQzHJ4vene71M9Gc1GFT5ORkRvXni+aRfvEn6Rf/kT7xJ+kXf/Jjv0QtSMvLy2PNmjWRr4uKisjNza33+pEjJwvAFhcX13v9TMTTnDTROqRf/En6xX+kT/xJ+sWfEm5O2qRJk1i1ahXHjh2jqqqKZcuWMW3atMjr+fn5JCcns3btWgCee+65eq8LIYQQQiSyqAVpeXl53H777SxYsIBLL72UOXPmMHLkSBYuXMiHH34IwC9+8QsefPBBZs+eTVVVFQsWLIjW4QghhBBCxJWoleBoCzLcmXikX/xJ+sV/pE/8SfrFnxJuuFMIIYQQQjSfBGlCCCGEED4kQZoQQgghhA9JkCaEEEII4UMSpAkhhBBC+JAEaUIIIYQQPiRBmhBCCCGED0mQJoQQQgjhQxKkCSGEEEL4kARpQgghhBA+JEGaEEIIIYQPSZAmhBBCCOFDEqQJIYQQQviQBGlCCCGEED4kQZoQQgghhA/ZsT6AltBaxfXPF80j/eJP0i/+I33iT9Iv/hTNfmnuz1bGGNPKxyKEEEIIIVpIhjuFEEIIIXxIgjQhhBBCCB+SIE0IIYQQwockSBNCCCGE8CEJ0oQQQgghfEiCNCGEEEIIH5IgTQghhBDChyRIE0IIIYTwIQnShBBCCCF8KOGDtMWLF3PxxRdzwQUX8PTTTzd4fdOmTVxxxRXMmjWLu+66C8dxYnCUied0/fLKK68wf/585s2bxy233MKJEydicJSJ5XR9Umf58uXMnDmzDY8ssZ2uX3bu3Mn111/PvHnzuPHGG+VcaSOn65eNGzdyxRVXMG/ePL761a9SWloag6NMPOXl5cyZM4f9+/c3eM2X93uTwAoLC82MGTPM8ePHTUVFhZk7d67Ztm1bvfdccsklZt26dcYYY37wgx+Yp59+OhaHmlBO1y9lZWVm8uTJprCw0BhjzMMPP2x+/OMfx+pwE8KZnCvGGFNcXGwuuugiM2PGjBgcZeI5Xb94nmcuvPBC88YbbxhjjPn5z39ufvazn8XqcBPGmZwv11xzjVm+fLkxxpgHH3zQPPTQQ7E41ITywQcfmDlz5phhw4aZffv2NXjdj/f7hM6krVy5kokTJ5KVlUVaWhqzZs1iyZIlkdcPHDhAdXU1o0ePBuDyyy+v97qIjtP1SygU4t577yUvLw+AQYMGcejQoVgdbkI4XZ/Uufvuu7n11ltjcISJ6XT9snHjRtLS0pg2bRoAN998M1/4whdidbgJ40zOF8/zqKioAKCqqoqUlJRYHGpCefbZZ7nnnnvIzc1t8Jpf7/cJHaQVFRWRk5MT+To3N5fDhw+f8vWcnJx6r4voOF2/ZGdnc/755wNQXV3NE088EflaRMfp+gTgySefZOjQoYwaNaqtDy9hna5f9u7dS5cuXbjjjjuYO3cu99xzD2lpabE41IRyJufLnXfeyV133cWUKVNYuXIlV199dVsfZsK5//77GT9+fKOv+fV+n9BBmjGmQZtS6oxfF9Fxpn/3srIyFi5cyODBg7nsssva4tAS1un6ZOvWrSxbtoxbbrmlLQ8r4Z2uXxzH4d133+W6665j8eLF9OzZk5/85CdteYgJ6XT9Ul1dzV133cWf//xn3nrrLa699lruuOOOtjxE8Sl+vd8ndJCWl5fHkSNHIl8XFRXVS4N++vXi4uJG06SidZ2uX+rarr32WgYPHsz999/f1oeYcE7XJ0uWLKG4uJgrrriCr3zlK5H+EdF1un7Jycmhd+/ejBgxAoA5c+awYcOGNj/ORHO6ftm6dSvJycmMHDkSgM9//vO8++67bX6c4iS/3u8TOkibNGkSq1at4tixY1RVVbFs2bLI3A2A/Px8kpOTWbt2LQDPPfdcvddFdJyuX1zX5eabb2b27Nncddddvnjaae9O1ye33XYbS5cu5fnnn+eJJ54gNzeXZ555JoZHnBhO1y9jxozh2LFjbN68GYDXXnuNYcOGxepwE8bp+qV3794UFhayc+dOAF599dVIIC1iw6/3ezvWBxBLeXl53H777SxYsIBQKMSVV17JyJEjWbhwIbfddhsjRozgF7/4BXfffTcVFRUMHTqUBQsWxPqw273T9UthYSEff/wxruuydOlSAIYPHy4ZtSg6k3NFtL0z6ZfHHnuMu+++m6qqKrp27crPfvazWB92u3cm/fLggw/yrW/CoBfAAAABkUlEQVR9C2MMnTt35oEHHoj1YSckv9/vlWlsIFYIIYQQQsRUQg93CiGEEEL4lQRpQgghhBA+JEGaEEIIIYQPSZAmhBBCCOFDEqQJIYQQQviQBGlCCPEpxhjuvPNOfv/738f6UIQQCUyCNCGE+IQdO3bwxS9+kZdffjnWhyKESHASpAkhEtK//vUvzjvvPCoqKqisrGT27Nk899xzPP3001x++eXMnj071ocohEhwUsxWCJGwvvOd75CZmUkwGMSyLH784x9HXrvzzjsZMGAAN954YwyPUAiRyBJ6WyghRGL7r//6L+bPn09KSgqLFi2K9eEIIUQ9Mtz5/9u3Y1MLoSCKoicxN7E0sQzhFqJdWJxgYiaCvOzDr8AB16pgws2BAT7rOI5c15XzPLPv+9vnAPxjSQM+6b7vtNYyz3Oe50lrLdu2peu6t08DSGJJAz5qWZYMw5BxHDNNU/q+z7qub58F8MfjAABAQZY0AICCRBoAQEEiDQCgIJEGAFCQSAMAKEikAQAUJNIAAAoSaQAABf0AEJr8k+WcuGAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "train_x = train_df_5.drop('y', axis=1)\n",
    "clf = svm.SVC(kernel='linear')\n",
    "clf.fit(train_x, train_df_5.y)\n",
    "\n",
    "scatter_df = {'pred' : clf.predict(train_x),\\\n",
    "              'x1' : train_df_5.x1,\\\n",
    "              'x2' : train_df_5.x2}\n",
    "sns.scatterplot(x='x1', y='x2', hue='pred', data = scatter_df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(h) Fit a SVM using a non-linear kernel to the data. Obtain a class prediction for each training observation. Plot the observations, colored according to the predicted class labels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10bc78198>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "train_x = train_df_5.drop('y', axis=1)\n",
    "clf = svm.SVC(kernel='rbf')\n",
    "clf.fit(train_x, train_df_5.y)\n",
    "\n",
    "scatter_df = {'pred' : clf.predict(train_x),\\\n",
    "              'x1' : train_df_5.x1,\\\n",
    "              'x2' : train_df_5.x2}\n",
    "sns.scatterplot(x='x1', y='x2', hue='pred', data = scatter_df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "6. At the end of Section 9.6.1, it is claimed that in the case of data that is just barely linearly separable, a support vector classifier with a small value of cost that misclassifies a couple of training observations may perform better on test data than one with a huge value of cost that does not misclassify any training observations. You will now investigate this claim.\n",
    "\n",
    "(a) Generate two-class data with p = 2 in such a way that the classes are just barely linearly separable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10bcaf780>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x1 = np.random.uniform(0, 1, 100)\n",
    "x2 = np.random.uniform(0, 1, 100)\n",
    "train_df_6 = pd.DataFrame({'x1': x1, 'x2' : x2})\n",
    "lin_comb = train_df_6.values @ np.array([2,3])\n",
    "train_df_6['y'] = lin_comb > lin_comb.mean()\n",
    "\n",
    "sns.scatterplot(x='x1', y='x2', hue='y', data=train_df_6)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(b) Compute the cross-validation error rates for support vector classifiers with a range of cost values. How many training errors are misclassified for each value of cost considered, and how does this relate to the cross-validation errors obtained?\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "# training errors \n",
    "c_range = np.linspace(1, 500, 500) \n",
    "errors = []\n",
    "for c in c_range:\n",
    "    #train\n",
    "    train_x = train_df_6.drop('y', axis=1)\n",
    "    train_y = train_df_6.y\n",
    "    clf = svm.SVC(kernel='linear', C=c).fit(train_x, train_y)\n",
    "    error = (clf.predict(train_x) != train_y).sum()\n",
    "    errors.append(error)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10a7da898>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot(x=c_range, y=errors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "# cross validation errors\n",
    "cv_result = pd.DataFrame()\n",
    "for train_idx, test_idx in model_selection.KFold(n_splits=10).split(train_df_6):\n",
    "    train, test = train_df_6.iloc[train_idx], train_df_6.iloc[test_idx]\n",
    "    errors = []\n",
    "    c_range = np.linspace(1, 500, 500) \n",
    "    for c in c_range:\n",
    "        #train\n",
    "        train_x = train.drop('y', axis=1)\n",
    "        train_y = train.y\n",
    "        clf = svm.SVC(kernel='linear', C=c).fit(train_x, train_y)\n",
    "        #test\n",
    "        test_x = test.drop('y', axis=1)\n",
    "        test_y = test.y\n",
    "        error = (clf.predict(test_x) != test_y).sum()\n",
    "        errors.append(error)\n",
    "    cv_result = cv_result.append(pd.Series(errors, index=c_range), ignore_index=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10be961d0>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean = cv_result.mean()\n",
    "sns.lineplot(x=mean.index, y=mean)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "# test errors\n",
    "x1 = np.random.uniform(0, 1, 1000)\n",
    "x2 = np.random.uniform(0, 1, 1000)\n",
    "test_df_6 = pd.DataFrame({'x1': x1, 'x2' : x2})\n",
    "lin_comb = test_df_6.values @ np.array([2,3])\n",
    "test_df_6['y'] = lin_comb > lin_comb.mean()\n",
    "\n",
    "# training errors \n",
    "c_range = np.linspace(1, 500, 500) \n",
    "errors = []\n",
    "for c in c_range:\n",
    "    #train\n",
    "    train_x = train_df_6.drop('y', axis=1)\n",
    "    train_y = train_df_6.y\n",
    "    clf = svm.SVC(kernel='linear', C=c).fit(train_x, train_y)\n",
    "    #test\n",
    "    test_x = test_df_6.drop('y', axis=1)\n",
    "    test_y = test_df_6.y\n",
    "    error = (clf.predict(test_x) != test_y).sum()\n",
    "    errors.append(error)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10ac6b748>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lineplot(x=c_range, y=errors)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "7. In this problem, you will use support vector approaches in order to predict whether a given car gets high or low gas mileage based on the Auto data set.\n",
    "\n",
    "(a) Create a binary variable that takes on a 1 for cars with gas mileage above the median, and a 0 for cars with gas mileage below the median."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>cylinders</th>\n",
       "      <th>displacement</th>\n",
       "      <th>horsepower</th>\n",
       "      <th>weight</th>\n",
       "      <th>acceleration</th>\n",
       "      <th>year</th>\n",
       "      <th>origin</th>\n",
       "      <th>mpg</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1.482053</td>\n",
       "      <td>1.075915</td>\n",
       "      <td>0.663285</td>\n",
       "      <td>0.619748</td>\n",
       "      <td>-1.283618</td>\n",
       "      <td>-1.623241</td>\n",
       "      <td>-0.715726</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.482053</td>\n",
       "      <td>1.486832</td>\n",
       "      <td>1.572585</td>\n",
       "      <td>0.842258</td>\n",
       "      <td>-1.464852</td>\n",
       "      <td>-1.623241</td>\n",
       "      <td>-0.715726</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.482053</td>\n",
       "      <td>1.181033</td>\n",
       "      <td>1.182885</td>\n",
       "      <td>0.539692</td>\n",
       "      <td>-1.646086</td>\n",
       "      <td>-1.623241</td>\n",
       "      <td>-0.715726</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.482053</td>\n",
       "      <td>1.047246</td>\n",
       "      <td>1.182885</td>\n",
       "      <td>0.536160</td>\n",
       "      <td>-1.283618</td>\n",
       "      <td>-1.623241</td>\n",
       "      <td>-0.715726</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1.482053</td>\n",
       "      <td>1.028134</td>\n",
       "      <td>0.923085</td>\n",
       "      <td>0.554997</td>\n",
       "      <td>-1.827320</td>\n",
       "      <td>-1.623241</td>\n",
       "      <td>-0.715726</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   cylinders  displacement  horsepower    weight  acceleration      year  \\\n",
       "0   1.482053      1.075915    0.663285  0.619748     -1.283618 -1.623241   \n",
       "1   1.482053      1.486832    1.572585  0.842258     -1.464852 -1.623241   \n",
       "2   1.482053      1.181033    1.182885  0.539692     -1.646086 -1.623241   \n",
       "3   1.482053      1.047246    1.182885  0.536160     -1.283618 -1.623241   \n",
       "4   1.482053      1.028134    0.923085  0.554997     -1.827320 -1.623241   \n",
       "\n",
       "     origin    mpg  \n",
       "0 -0.715726  False  \n",
       "1 -0.715726  False  \n",
       "2 -0.715726  False  \n",
       "3 -0.715726  False  \n",
       "4 -0.715726  False  "
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "auto_df = pd.read_csv('auto.csv').drop('name', axis=1)\n",
    "auto_df.mpg = auto_df.mpg > auto_df.mpg.median()\n",
    "auto_df.horsepower = pd.to_numeric(auto_df.horsepower, errors='coercce')\n",
    "auto_df = auto_df.dropna()\n",
    "tmp = auto_df.drop('mpg', axis=1)\n",
    "tmp = (tmp - tmp.mean()) / tmp.std()\n",
    "tmp['mpg'] = auto_df.mpg\n",
    "auto_df = tmp\n",
    "auto_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(b) Fit a support vector classifier to the data with various values of cost, in order to predict whether a car gets high or low gas mileage. Report the cross-validation errors associated with different values of this parameter. Comment on your results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [],
   "source": [
    "# cross validation errors\n",
    "\n",
    "cv_result = pd.DataFrame()\n",
    "for train_idx, test_idx in model_selection.KFold(n_splits=5).split(auto_df):\n",
    "    train, test = auto_df.iloc[train_idx], auto_df.iloc[test_idx]\n",
    "    errors = []\n",
    "    c_range = np.linspace(0.1, 20, 200) \n",
    "    for c in c_range:\n",
    "        #train\n",
    "        train_x = train.drop('mpg', axis=1)\n",
    "        train_y = train.mpg\n",
    "        clf = svm.SVC(kernel='linear', C=c).fit(train_x, train_y)\n",
    "        #test\n",
    "        test_x = test.drop('mpg', axis=1)\n",
    "        test_y = test.mpg\n",
    "        error = (clf.predict(test_x) != test_y).sum()\n",
    "        errors.append(error)\n",
    "    cv_result = cv_result.append(pd.Series(errors, index=c_range), ignore_index=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10d1e9ba8>"
      ]
     },
     "execution_count": 85,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean = cv_result.mean()\n",
    "sns.lineplot(x=mean.index, y=mean)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "c) Now repeat (b), this time using SVMs with radial and polynomial basis kernels, with different values of gamma and degree and cost."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [],
   "source": [
    "# cross validation errors\n",
    "\n",
    "def rbf_cv(gamma):\n",
    "    cv_result = pd.DataFrame()\n",
    "    for train_idx, test_idx in model_selection.KFold(n_splits=5).split(auto_df):\n",
    "        train, test = auto_df.iloc[train_idx], auto_df.iloc[test_idx]\n",
    "        errors = []\n",
    "        c_range = np.linspace(0.1, 40, 400) \n",
    "        for c in c_range:\n",
    "            #train\n",
    "            train_x = train.drop('mpg', axis=1)\n",
    "            train_y = train.mpg\n",
    "            clf = svm.SVC(kernel='rbf', C=c, gamma=gamma).fit(train_x, train_y)\n",
    "            #test\n",
    "            test_x = test.drop('mpg', axis=1)\n",
    "            test_y = test.mpg\n",
    "            error = (clf.predict(test_x) != test_y).sum()\n",
    "            errors.append(error)\n",
    "        cv_result = cv_result.append(pd.Series(errors, index=c_range), ignore_index=True)\n",
    "    return cv_result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# TODO: sample a denser and wider range of g.. it takes ages.\n",
    "for g in ['auto'] + list(np.linspace(0.1, 5, 3)):\n",
    "    mean = rbf_cv(g).mean()\n",
    "    sns.lineplot(x=mean.index, y=mean)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "8. This problem involves the OJ data set which is part of the ISLR package."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>WeekofPurchase</th>\n",
       "      <th>StoreID</th>\n",
       "      <th>PriceCH</th>\n",
       "      <th>PriceMM</th>\n",
       "      <th>DiscCH</th>\n",
       "      <th>DiscMM</th>\n",
       "      <th>SpecialCH</th>\n",
       "      <th>SpecialMM</th>\n",
       "      <th>LoyalCH</th>\n",
       "      <th>SalePriceMM</th>\n",
       "      <th>SalePriceCH</th>\n",
       "      <th>PriceDiff</th>\n",
       "      <th>Store7</th>\n",
       "      <th>PctDiscMM</th>\n",
       "      <th>PctDiscCH</th>\n",
       "      <th>ListPriceDiff</th>\n",
       "      <th>STORE</th>\n",
       "      <th>Purchase</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>-1.117174</td>\n",
       "      <td>-1.281868</td>\n",
       "      <td>-1.151523</td>\n",
       "      <td>-0.709981</td>\n",
       "      <td>-0.441457</td>\n",
       "      <td>-0.576918</td>\n",
       "      <td>-0.416033</td>\n",
       "      <td>-0.438959</td>\n",
       "      <td>-0.213688</td>\n",
       "      <td>0.110620</td>\n",
       "      <td>-0.457240</td>\n",
       "      <td>0.344355</td>\n",
       "      <td>-0.705786</td>\n",
       "      <td>-0.582728</td>\n",
       "      <td>-0.438901</td>\n",
       "      <td>0.204671</td>\n",
       "      <td>-0.441028</td>\n",
       "      <td>CH</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>-0.988625</td>\n",
       "      <td>-1.281868</td>\n",
       "      <td>-1.151523</td>\n",
       "      <td>-0.709981</td>\n",
       "      <td>-0.441457</td>\n",
       "      <td>0.826041</td>\n",
       "      <td>-0.416033</td>\n",
       "      <td>2.275989</td>\n",
       "      <td>0.111153</td>\n",
       "      <td>-1.076571</td>\n",
       "      <td>-0.457240</td>\n",
       "      <td>-0.760362</td>\n",
       "      <td>-0.705786</td>\n",
       "      <td>0.898738</td>\n",
       "      <td>-0.438901</td>\n",
       "      <td>0.204671</td>\n",
       "      <td>-0.441028</td>\n",
       "      <td>CH</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>-0.602978</td>\n",
       "      <td>-1.281868</td>\n",
       "      <td>-0.072772</td>\n",
       "      <td>0.034146</td>\n",
       "      <td>1.005669</td>\n",
       "      <td>-0.576918</td>\n",
       "      <td>-0.416033</td>\n",
       "      <td>-0.438959</td>\n",
       "      <td>0.371026</td>\n",
       "      <td>0.506350</td>\n",
       "      <td>-0.875698</td>\n",
       "      <td>0.933538</td>\n",
       "      <td>-0.705786</td>\n",
       "      <td>-0.582728</td>\n",
       "      <td>1.029756</td>\n",
       "      <td>0.111678</td>\n",
       "      <td>-0.441028</td>\n",
       "      <td>CH</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>-1.759918</td>\n",
       "      <td>-1.281868</td>\n",
       "      <td>-1.739933</td>\n",
       "      <td>-2.942365</td>\n",
       "      <td>-0.441457</td>\n",
       "      <td>-0.576918</td>\n",
       "      <td>-0.416033</td>\n",
       "      <td>-0.438959</td>\n",
       "      <td>-0.538530</td>\n",
       "      <td>-1.076571</td>\n",
       "      <td>-0.875698</td>\n",
       "      <td>-0.539419</td>\n",
       "      <td>-0.705786</td>\n",
       "      <td>-0.582728</td>\n",
       "      <td>-0.438901</td>\n",
       "      <td>-2.027152</td>\n",
       "      <td>-0.441028</td>\n",
       "      <td>MM</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>-1.695644</td>\n",
       "      <td>1.316678</td>\n",
       "      <td>-1.739933</td>\n",
       "      <td>-2.942365</td>\n",
       "      <td>-0.441457</td>\n",
       "      <td>-0.576918</td>\n",
       "      <td>-0.416033</td>\n",
       "      <td>-0.438959</td>\n",
       "      <td>1.269326</td>\n",
       "      <td>-1.076571</td>\n",
       "      <td>-0.875698</td>\n",
       "      <td>-0.539419</td>\n",
       "      <td>1.415536</td>\n",
       "      <td>-0.582728</td>\n",
       "      <td>-0.438901</td>\n",
       "      <td>-2.027152</td>\n",
       "      <td>-1.140140</td>\n",
       "      <td>CH</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   WeekofPurchase   StoreID   PriceCH   PriceMM    DiscCH    DiscMM  \\\n",
       "0       -1.117174 -1.281868 -1.151523 -0.709981 -0.441457 -0.576918   \n",
       "1       -0.988625 -1.281868 -1.151523 -0.709981 -0.441457  0.826041   \n",
       "2       -0.602978 -1.281868 -0.072772  0.034146  1.005669 -0.576918   \n",
       "3       -1.759918 -1.281868 -1.739933 -2.942365 -0.441457 -0.576918   \n",
       "4       -1.695644  1.316678 -1.739933 -2.942365 -0.441457 -0.576918   \n",
       "\n",
       "   SpecialCH  SpecialMM   LoyalCH  SalePriceMM  SalePriceCH  PriceDiff  \\\n",
       "0  -0.416033  -0.438959 -0.213688     0.110620    -0.457240   0.344355   \n",
       "1  -0.416033   2.275989  0.111153    -1.076571    -0.457240  -0.760362   \n",
       "2  -0.416033  -0.438959  0.371026     0.506350    -0.875698   0.933538   \n",
       "3  -0.416033  -0.438959 -0.538530    -1.076571    -0.875698  -0.539419   \n",
       "4  -0.416033  -0.438959  1.269326    -1.076571    -0.875698  -0.539419   \n",
       "\n",
       "     Store7  PctDiscMM  PctDiscCH  ListPriceDiff     STORE Purchase  \n",
       "0 -0.705786  -0.582728  -0.438901       0.204671 -0.441028       CH  \n",
       "1 -0.705786   0.898738  -0.438901       0.204671 -0.441028       CH  \n",
       "2 -0.705786  -0.582728   1.029756       0.111678 -0.441028       CH  \n",
       "3 -0.705786  -0.582728  -0.438901      -2.027152 -0.441028       MM  \n",
       "4  1.415536  -0.582728  -0.438901      -2.027152 -1.140140       CH  "
      ]
     },
     "execution_count": 124,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "oj_df = pd.read_csv('oj.csv')\n",
    "oj_df = oj_df.drop(oj_df.columns[0], axis=1)\n",
    "oj_df.Store7 = oj_df.Store7.map({'Yes' : 1, 'No' : 0})\n",
    "oj_df.head()\n",
    "\n",
    "tmp = oj_df.drop('Purchase', axis=1)\n",
    "tmp = (tmp - tmp.mean()) / tmp.std()\n",
    "tmp['Purchase'] = oj_df.Purchase\n",
    "oj_df = tmp\n",
    "oj_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(a) Create a training set containing a random sample of 800 observations, and a test set containing the remaining observations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [],
   "source": [
    "train, test = model_selection.train_test_split(oj_df, test_size=oj_df.shape[0] - 800)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(b) Fit a support vector classifier to the training data using\n",
    "`cost=0.01`, with Purchase as the response and the other variables as predictors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_x = train.drop('Purchase', axis=1)\n",
    "train_y = train.Purchase\n",
    "test_x = test.drop('Purchase', axis=1)\n",
    "test_y = test.Purchase\n",
    "\n",
    "clf = svm.SVC(kernel='linear', C=0.01).fit(train_x, train_y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(c) What are the training and test error rates?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "train error: 0.15186915887850472\n",
      "test error: 0.23364485981308414\n"
     ]
    }
   ],
   "source": [
    "train_error = 1 - (clf.predict(train_x) == train_y).sum() / train_x.shape[0]\n",
    "print('train error: {}'.format(train_error))\n",
    "\n",
    "test_error = 1 - (clf.predict(test_x) == test_y).sum() / test_x.shape[0]\n",
    "print('test error: {}'.format(test_error))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(d) Use the tune() function to select an optimal cost. Consider values in the range 0.01 to 10.\n",
    "\n",
    ".. no such luxury in python world"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 160,
   "metadata": {},
   "outputs": [],
   "source": [
    "cv_result = pd.DataFrame()\n",
    "for train_idx, test_idx in model_selection.KFold(n_splits=5).split(oj_df):\n",
    "    train, test = oj_df.iloc[train_idx], oj_df.iloc[test_idx]\n",
    "    errors = []\n",
    "    c_range = np.linspace(0.01, 10, 200) \n",
    "    for c in c_range:\n",
    "        #train\n",
    "        train_x = train.drop('Purchase', axis=1)\n",
    "        train_y = train.Purchase\n",
    "        clf = svm.SVC(kernel='linear', C=c).fit(train_x, train_y)\n",
    "        #test\n",
    "        test_x = test.drop('Purchase', axis=1)\n",
    "        test_y = test.Purchase\n",
    "        error = (clf.predict(test_x) != test_y).sum() / test_x.shape[0]\n",
    "        errors.append(error)\n",
    "    cv_result = cv_result.append(pd.Series(errors, index=c_range), ignore_index=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 153,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10ae00f28>"
      ]
     },
     "execution_count": 153,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "line_df = cv_result.mean()\n",
    "sns.lineplot(x=line_df.index, y=line_df)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(e) Compute the training and test error rates using this new value\n",
    "for cost.\n",
    "\n",
    ".. the error is all over the place "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "train error: 0.14719626168224298\n",
      "test error: 0.23364485981308414\n"
     ]
    }
   ],
   "source": [
    "clf = svm.SVC(kernel='linear', C=2.75).fit(train_x, train_y)\n",
    "\n",
    "train_error = 1 - (clf.predict(train_x) == train_y).sum() / train_x.shape[0]\n",
    "print('train error: {}'.format(train_error))\n",
    "\n",
    "test_error = 1 - (clf.predict(test_x) == test_y).sum() / test_x.shape[0]\n",
    "print('test error: {}'.format(test_error))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(f) Repeat parts (b) through (e) using a support vector machine\n",
    "with a radial kernel. Use the default value for gamma."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 159,
   "metadata": {},
   "outputs": [],
   "source": [
    "cv_result = pd.DataFrame()\n",
    "for train_idx, test_idx in model_selection.KFold(n_splits=5).split(oj_df):\n",
    "    train, test = oj_df.iloc[train_idx], oj_df.iloc[test_idx]\n",
    "    errors = []\n",
    "    c_range = np.linspace(0.01, 10, 200) \n",
    "    for c in c_range:\n",
    "        #train\n",
    "        train_x = train.drop('Purchase', axis=1)\n",
    "        train_y = train.Purchase\n",
    "        clf = svm.SVC(kernel='rbf', C=c).fit(train_x, train_y)\n",
    "        #test\n",
    "        test_x = test.drop('Purchase', axis=1)\n",
    "        test_y = test.Purchase\n",
    "        error = (clf.predict(test_x) != test_y).sum() / test_x.shape[0]\n",
    "        errors.append(error)\n",
    "    cv_result = cv_result.append(pd.Series(errors, index=c_range), ignore_index=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10e8b76a0>"
      ]
     },
     "execution_count": 157,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "line_df = cv_result.mean()\n",
    "sns.lineplot(x=line_df.index, y=line_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 158,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "train error: 0.139018691588785\n",
      "test error: 0.21962616822429903\n"
     ]
    }
   ],
   "source": [
    "clf = svm.SVC(kernel='rbf', C=10).fit(train_x, train_y)\n",
    "\n",
    "train_error = 1 - (clf.predict(train_x) == train_y).sum() / train_x.shape[0]\n",
    "print('train error: {}'.format(train_error))\n",
    "\n",
    "test_error = 1 - (clf.predict(test_x) == test_y).sum() / test_x.shape[0]\n",
    "print('test error: {}'.format(test_error))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(g) Repeat parts (b) through (e) using a support vector machine\n",
    "with a polynomial kernel. Set degree=2."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 162,
   "metadata": {},
   "outputs": [],
   "source": [
    "cv_result = pd.DataFrame()\n",
    "for train_idx, test_idx in model_selection.KFold(n_splits=5).split(oj_df):\n",
    "    train, test = oj_df.iloc[train_idx], oj_df.iloc[test_idx]\n",
    "    errors = []\n",
    "    c_range = np.linspace(0.01, 10, 200) \n",
    "    for c in c_range:\n",
    "        #train\n",
    "        train_x = train.drop('Purchase', axis=1)\n",
    "        train_y = train.Purchase\n",
    "        clf = svm.SVC(kernel='poly', degree=2, C=c).fit(train_x, train_y)\n",
    "        #test\n",
    "        test_x = test.drop('Purchase', axis=1)\n",
    "        test_y = test.Purchase\n",
    "        error = (clf.predict(test_x) != test_y).sum() / test_x.shape[0]\n",
    "        errors.append(error)\n",
    "    cv_result = cv_result.append(pd.Series(errors, index=c_range), ignore_index=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 163,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10ea71710>"
      ]
     },
     "execution_count": 163,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "line_df = cv_result.mean()\n",
    "sns.lineplot(x=line_df.index, y=line_df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "train error: 0.2079439252336449\n",
      "test error: 0.26168224299065423\n"
     ]
    }
   ],
   "source": [
    "clf = svm.SVC(kernel='poly', degree=2, C=10).fit(train_x, train_y)\n",
    "\n",
    "train_error = 1 - (clf.predict(train_x) == train_y).sum() / train_x.shape[0]\n",
    "print('train error: {}'.format(train_error))\n",
    "\n",
    "test_error = 1 - (clf.predict(test_x) == test_y).sum() / test_x.shape[0]\n",
    "print('test error: {}'.format(test_error))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(h) Overall, which approach seems to give the best results on this data?\n",
    "\n",
    "- lowest test error is obtained with the radial kernel"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}